id	sid	tid	token	lemma	pos
fumecheng-10736	1	1	10736	10736	NUM
fumecheng-10736	1	2	facta	facta	PROPN
fumecheng-10736	1	3	universitatis	universitatis	PROPN
fumecheng-10736	1	4	series	series	NOUN
fumecheng-10736	1	5	:	:	PUNCT
fumecheng-10736	1	6	mechanical	mechanical	ADJ
fumecheng-10736	1	7	engineering	engineering	NOUN
fumecheng-10736	1	8	vol	vol	NOUN
fumecheng-10736	1	9	.	.	PROPN
fumecheng-10736	1	10	20	20	NUM
fumecheng-10736	1	11	,	,	PUNCT
fumecheng-10736	1	12	no	no	DET
fumecheng-10736	1	13	3	3	NUM
fumecheng-10736	1	14	,	,	PUNCT
fumecheng-10736	1	15	2022	2022	NUM
fumecheng-10736	1	16	,	,	PUNCT
fumecheng-10736	1	17	pp	pp	ADJ
fumecheng-10736	1	18	.	.	PUNCT
fumecheng-10736	2	1	561	561	NUM
fumecheng-10736	2	2	587	587	NUM
fumecheng-10736	2	3	https://doi.org/10.22190/fume220506029l	https://doi.org/10.22190/fume220506029l	PROPN
fumecheng-10736	2	4	©	©	PROPN
fumecheng-10736	2	5	2022	2022	NUM
fumecheng-10736	2	6	by	by	ADP
fumecheng-10736	2	7	university	university	PROPN
fumecheng-10736	2	8	of	of	ADP
fumecheng-10736	2	9	niš	niš	PROPN
fumecheng-10736	2	10	,	,	PUNCT
fumecheng-10736	2	11	serbia	serbia	PROPN
fumecheng-10736	2	12	|	|	ADV
fumecheng-10736	2	13	creative	creative	ADJ
fumecheng-10736	2	14	commons	common	NOUN
fumecheng-10736	2	15	license	license	NOUN
fumecheng-10736	2	16	:	:	PUNCT
fumecheng-10736	2	17	cc	cc	VERB
fumecheng-10736	2	18	by	by	ADP
fumecheng-10736	2	19	-	-	PUNCT
fumecheng-10736	2	20	nc	nc	VERB
fumecheng-10736	2	21	-	-	PUNCT
fumecheng-10736	2	22	nd	nd	ADV
fumecheng-10736	2	23	original	original	ADJ
fumecheng-10736	2	24	scientific	scientific	ADJ
fumecheng-10736	2	25	paper	paper	VERB
fumecheng-10736	2	26	bending	bending	NOUN
fumecheng-10736	2	27	,	,	PUNCT
fumecheng-10736	2	28	buckling	buckle	VERB
fumecheng-10736	2	29	and	and	CCONJ
fumecheng-10736	2	30	free	free	ADJ
fumecheng-10736	2	31	vibration	vibration	NOUN
fumecheng-10736	2	32	analyses	analysis	NOUN
fumecheng-10736	2	33	of	of	ADP
fumecheng-10736	2	34	nanobeam	nanobeam	ADJ
fumecheng-10736	2	35	-	-	PUNCT
fumecheng-10736	2	36	substrate	substrate	NOUN
fumecheng-10736	2	37	medium	medium	NOUN
fumecheng-10736	2	38	systems	system	NOUN
fumecheng-10736	2	39	suchart	suchart	NOUN
fumecheng-10736	2	40	limkatanyu1	limkatanyu1	PROPN
fumecheng-10736	2	41	,	,	PUNCT
fumecheng-10736	2	42	worathep	worathep	NOUN
fumecheng-10736	2	43	sae	sae	PROPN
fumecheng-10736	2	44	-	-	PROPN
fumecheng-10736	2	45	long2	long2	ADJ
fumecheng-10736	2	46	,	,	PUNCT
fumecheng-10736	2	47	jaroon	jaroon	NOUN
fumecheng-10736	2	48	rungamornrat3	rungamornrat3	NOUN
fumecheng-10736	2	49	,	,	PUNCT
fumecheng-10736	2	50	chinnapat	chinnapat	PROPN
fumecheng-10736	2	51	buachart4	buachart4	NOUN
fumecheng-10736	2	52	,	,	PUNCT
fumecheng-10736	2	53	piti	piti	PROPN
fumecheng-10736	2	54	sukontasukkul5	sukontasukkul5	PROPN
fumecheng-10736	2	55	,	,	PUNCT
fumecheng-10736	2	56	suraparb	suraparb	PROPN
fumecheng-10736	2	57	keawsawasvong6	keawsawasvong6	PROPN
fumecheng-10736	2	58	,	,	PUNCT
fumecheng-10736	2	59	prinya	prinya	NUM
fumecheng-10736	2	60	chindaprasirt7,8	chindaprasirt7,8	PROPN
fumecheng-10736	2	61	1department	1department	NUM
fumecheng-10736	2	62	of	of	ADP
fumecheng-10736	2	63	civil	civil	ADJ
fumecheng-10736	2	64	and	and	CCONJ
fumecheng-10736	2	65	environmental	environmental	ADJ
fumecheng-10736	2	66	engineering	engineering	NOUN
fumecheng-10736	2	67	,	,	PUNCT
fumecheng-10736	2	68	faculty	faculty	NOUN
fumecheng-10736	2	69	of	of	ADP
fumecheng-10736	2	70	engineering	engineering	NOUN
fumecheng-10736	2	71	,	,	PUNCT
fumecheng-10736	2	72	prince	prince	NOUN
fumecheng-10736	2	73	of	of	ADP
fumecheng-10736	2	74	songkla	songkla	PROPN
fumecheng-10736	2	75	university	university	PROPN
fumecheng-10736	2	76	,	,	PUNCT
fumecheng-10736	2	77	songkhla	songkhla	PROPN
fumecheng-10736	2	78	,	,	PUNCT
fumecheng-10736	2	79	thailand	thailand	PROPN
fumecheng-10736	2	80	2civil	2civil	NUM
fumecheng-10736	2	81	engineering	engineering	NOUN
fumecheng-10736	2	82	program	program	NOUN
fumecheng-10736	2	83	,	,	PUNCT
fumecheng-10736	2	84	school	school	NOUN
fumecheng-10736	2	85	of	of	ADP
fumecheng-10736	2	86	engineering	engineering	NOUN
fumecheng-10736	2	87	,	,	PUNCT
fumecheng-10736	2	88	university	university	NOUN
fumecheng-10736	2	89	of	of	ADP
fumecheng-10736	2	90	phayao	phayao	NOUN
fumecheng-10736	2	91	,	,	PUNCT
fumecheng-10736	2	92	phayao	phayao	NOUN
fumecheng-10736	2	93	,	,	PUNCT
fumecheng-10736	2	94	thailand	thailand	PROPN
fumecheng-10736	2	95	3applied	3applied	NUM
fumecheng-10736	2	96	mechanics	mechanic	NOUN
fumecheng-10736	2	97	and	and	CCONJ
fumecheng-10736	2	98	structures	structure	NOUN
fumecheng-10736	2	99	research	research	NOUN
fumecheng-10736	2	100	unit	unit	NOUN
fumecheng-10736	2	101	,	,	PUNCT
fumecheng-10736	2	102	department	department	NOUN
fumecheng-10736	2	103	of	of	ADP
fumecheng-10736	2	104	civil	civil	ADJ
fumecheng-10736	2	105	engineering	engineering	NOUN
fumecheng-10736	2	106	,	,	PUNCT
fumecheng-10736	2	107	faculty	faculty	NOUN
fumecheng-10736	2	108	of	of	ADP
fumecheng-10736	2	109	engineering	engineering	NOUN
fumecheng-10736	2	110	,	,	PUNCT
fumecheng-10736	2	111	chulalongkorn	chulalongkorn	NOUN
fumecheng-10736	2	112	university	university	NOUN
fumecheng-10736	2	113	,	,	PUNCT
fumecheng-10736	2	114	bangkok	bangkok	PROPN
fumecheng-10736	2	115	,	,	PUNCT
fumecheng-10736	2	116	thailand	thailand	PROPN
fumecheng-10736	2	117	4department	4department	NUM
fumecheng-10736	2	118	of	of	ADP
fumecheng-10736	2	119	civil	civil	ADJ
fumecheng-10736	2	120	engineering	engineering	NOUN
fumecheng-10736	2	121	,	,	PUNCT
fumecheng-10736	2	122	faculty	faculty	NOUN
fumecheng-10736	2	123	of	of	ADP
fumecheng-10736	2	124	engineering	engineering	PROPN
fumecheng-10736	2	125	,	,	PUNCT
fumecheng-10736	2	126	chiang	chiang	PROPN
fumecheng-10736	2	127	mai	mai	PROPN
fumecheng-10736	2	128	university	university	PROPN
fumecheng-10736	2	129	,	,	PUNCT
fumecheng-10736	2	130	chiang	chiang	PROPN
fumecheng-10736	2	131	mai	mai	PROPN
fumecheng-10736	2	132	,	,	PUNCT
fumecheng-10736	2	133	thailand	thailand	PROPN
fumecheng-10736	2	134	5construction	5construction	NUM
fumecheng-10736	2	135	and	and	CCONJ
fumecheng-10736	2	136	building	building	NOUN
fumecheng-10736	2	137	materials	material	NOUN
fumecheng-10736	2	138	research	research	NOUN
fumecheng-10736	2	139	center	center	NOUN
fumecheng-10736	2	140	,	,	PUNCT
fumecheng-10736	2	141	department	department	NOUN
fumecheng-10736	2	142	of	of	ADP
fumecheng-10736	2	143	civil	civil	ADJ
fumecheng-10736	2	144	engineering	engineering	NOUN
fumecheng-10736	2	145	,	,	PUNCT
fumecheng-10736	2	146	king	king	PROPN
fumecheng-10736	2	147	mongkut	mongkut	PROPN
fumecheng-10736	2	148	’s	’s	PROPN
fumecheng-10736	2	149	university	university	PROPN
fumecheng-10736	2	150	of	of	ADP
fumecheng-10736	2	151	technology	technology	PROPN
fumecheng-10736	2	152	north	north	PROPN
fumecheng-10736	2	153	bangkok	bangkok	PROPN
fumecheng-10736	2	154	,	,	PUNCT
fumecheng-10736	2	155	bangkok	bangkok	PROPN
fumecheng-10736	2	156	,	,	PUNCT
fumecheng-10736	2	157	thailand	thailand	PROPN
fumecheng-10736	2	158	6department	6department	NUM
fumecheng-10736	2	159	of	of	ADP
fumecheng-10736	2	160	civil	civil	ADJ
fumecheng-10736	2	161	engineering	engineering	NOUN
fumecheng-10736	2	162	,	,	PUNCT
fumecheng-10736	2	163	faculty	faculty	NOUN
fumecheng-10736	2	164	of	of	ADP
fumecheng-10736	2	165	engineering	engineering	NOUN
fumecheng-10736	2	166	,	,	PUNCT
fumecheng-10736	2	167	thammasat	thammasat	NOUN
fumecheng-10736	2	168	school	school	NOUN
fumecheng-10736	2	169	of	of	ADP
fumecheng-10736	2	170	engineering	engineering	NOUN
fumecheng-10736	2	171	,	,	PUNCT
fumecheng-10736	2	172	thammasat	thammasat	PROPN
fumecheng-10736	2	173	university	university	NOUN
fumecheng-10736	2	174	,	,	PUNCT
fumecheng-10736	2	175	pathumthani	pathumthani	PROPN
fumecheng-10736	2	176	,	,	PUNCT
fumecheng-10736	2	177	thailand	thailand	PROPN
fumecheng-10736	2	178	7sustainable	7sustainable	NUM
fumecheng-10736	2	179	infrastructure	infrastructure	NOUN
fumecheng-10736	2	180	research	research	NOUN
fumecheng-10736	2	181	and	and	CCONJ
fumecheng-10736	2	182	development	development	NOUN
fumecheng-10736	2	183	center	center	NOUN
fumecheng-10736	2	184	,	,	PUNCT
fumecheng-10736	2	185	department	department	NOUN
fumecheng-10736	2	186	of	of	ADP
fumecheng-10736	2	187	civil	civil	ADJ
fumecheng-10736	2	188	engineering	engineering	NOUN
fumecheng-10736	2	189	,	,	PUNCT
fumecheng-10736	2	190	faculty	faculty	NOUN
fumecheng-10736	2	191	of	of	ADP
fumecheng-10736	2	192	engineering	engineering	PROPN
fumecheng-10736	2	193	,	,	PUNCT
fumecheng-10736	2	194	khon	khon	PROPN
fumecheng-10736	2	195	kaen	kaen	PROPN
fumecheng-10736	2	196	university	university	PROPN
fumecheng-10736	2	197	,	,	PUNCT
fumecheng-10736	2	198	khon	khon	PROPN
fumecheng-10736	2	199	kaen	kaen	PROPN
fumecheng-10736	2	200	,	,	PUNCT
fumecheng-10736	2	201	thailand	thailand	PROPN
fumecheng-10736	2	202	8academy	8academy	NUM
fumecheng-10736	2	203	of	of	ADP
fumecheng-10736	2	204	science	science	NOUN
fumecheng-10736	2	205	,	,	PUNCT
fumecheng-10736	2	206	royal	royal	ADJ
fumecheng-10736	2	207	society	society	NOUN
fumecheng-10736	2	208	of	of	ADP
fumecheng-10736	2	209	thailand	thailand	PROPN
fumecheng-10736	2	210	,	,	PUNCT
fumecheng-10736	2	211	dusit	dusit	PROPN
fumecheng-10736	2	212	,	,	PUNCT
fumecheng-10736	2	213	bangkok	bangkok	PROPN
fumecheng-10736	2	214	,	,	PUNCT
fumecheng-10736	2	215	thailand	thailand	PROPN
fumecheng-10736	2	216	abstract	abstract	PROPN
fumecheng-10736	2	217	.	.	PUNCT
fumecheng-10736	3	1	this	this	DET
fumecheng-10736	3	2	study	study	NOUN
fumecheng-10736	3	3	presents	present	VERB
fumecheng-10736	3	4	a	a	DET
fumecheng-10736	3	5	newly	newly	ADV
fumecheng-10736	3	6	developed	develop	VERB
fumecheng-10736	3	7	size	size	NOUN
fumecheng-10736	3	8	-	-	PUNCT
fumecheng-10736	3	9	dependent	dependent	ADJ
fumecheng-10736	3	10	beam	beam	NOUN
fumecheng-10736	3	11	-	-	PUNCT
fumecheng-10736	3	12	substrate	substrate	NOUN
fumecheng-10736	3	13	medium	medium	NOUN
fumecheng-10736	3	14	model	model	NOUN
fumecheng-10736	3	15	for	for	ADP
fumecheng-10736	3	16	bending	bend	VERB
fumecheng-10736	3	17	,	,	PUNCT
fumecheng-10736	3	18	buckling	buckling	NOUN
fumecheng-10736	3	19	,	,	PUNCT
fumecheng-10736	3	20	and	and	CCONJ
fumecheng-10736	3	21	free	free	ADJ
fumecheng-10736	3	22	-	-	PUNCT
fumecheng-10736	3	23	vibration	vibration	NOUN
fumecheng-10736	3	24	analyses	analysis	NOUN
fumecheng-10736	3	25	of	of	ADP
fumecheng-10736	3	26	nanobeams	nanobeam	NOUN
fumecheng-10736	3	27	resting	rest	VERB
fumecheng-10736	3	28	on	on	ADP
fumecheng-10736	3	29	elastic	elastic	ADJ
fumecheng-10736	3	30	substrate	substrate	NOUN
fumecheng-10736	3	31	media	medium	NOUN
fumecheng-10736	3	32	.	.	PUNCT
fumecheng-10736	4	1	the	the	DET
fumecheng-10736	4	2	euler	euler	PROPN
fumecheng-10736	4	3	-	-	PUNCT
fumecheng-10736	4	4	bernoulli	bernoulli	PROPN
fumecheng-10736	4	5	beam	beam	NOUN
fumecheng-10736	4	6	theory	theory	NOUN
fumecheng-10736	4	7	describes	describe	VERB
fumecheng-10736	4	8	the	the	DET
fumecheng-10736	4	9	beam	beam	NOUN
fumecheng-10736	4	10	-	-	PUNCT
fumecheng-10736	4	11	section	section	NOUN
fumecheng-10736	4	12	kinematics	kinematic	NOUN
fumecheng-10736	4	13	and	and	CCONJ
fumecheng-10736	4	14	the	the	DET
fumecheng-10736	4	15	winkler	winkler	NOUN
fumecheng-10736	4	16	-	-	PUNCT
fumecheng-10736	4	17	foundation	foundation	NOUN
fumecheng-10736	4	18	model	model	NOUN
fumecheng-10736	4	19	represents	represent	VERB
fumecheng-10736	4	20	interaction	interaction	NOUN
fumecheng-10736	4	21	between	between	ADP
fumecheng-10736	4	22	the	the	DET
fumecheng-10736	4	23	beam	beam	NOUN
fumecheng-10736	4	24	and	and	CCONJ
fumecheng-10736	4	25	its	its	PRON
fumecheng-10736	4	26	underlying	underlie	VERB
fumecheng-10736	4	27	substrate	substrate	NOUN
fumecheng-10736	4	28	medium	medium	NOUN
fumecheng-10736	4	29	.	.	PUNCT
fumecheng-10736	5	1	the	the	DET
fumecheng-10736	5	2	reformulated	reformulate	VERB
fumecheng-10736	5	3	strain	strain	NOUN
fumecheng-10736	5	4	-	-	PUNCT
fumecheng-10736	5	5	gradient	gradient	NOUN
fumecheng-10736	5	6	elasticity	elasticity	NOUN
fumecheng-10736	5	7	theory	theory	NOUN
fumecheng-10736	5	8	possessing	possess	VERB
fumecheng-10736	5	9	three	three	NUM
fumecheng-10736	5	10	non	non	ADJ
fumecheng-10736	5	11	-	-	ADJ
fumecheng-10736	5	12	classical	classical	ADJ
fumecheng-10736	5	13	material	material	NOUN
fumecheng-10736	5	14	constants	constant	NOUN
fumecheng-10736	5	15	is	be	AUX
fumecheng-10736	5	16	employed	employ	VERB
fumecheng-10736	5	17	to	to	PART
fumecheng-10736	5	18	address	address	VERB
fumecheng-10736	5	19	the	the	DET
fumecheng-10736	5	20	beam	beam	NOUN
fumecheng-10736	5	21	-	-	PUNCT
fumecheng-10736	5	22	bulk	bulk	ADJ
fumecheng-10736	5	23	material	material	NOUN
fumecheng-10736	5	24	smallscale	smallscale	NOUN
fumecheng-10736	5	25	effect	effect	NOUN
fumecheng-10736	5	26	.	.	PUNCT
fumecheng-10736	6	1	the	the	DET
fumecheng-10736	6	2	first	first	ADJ
fumecheng-10736	6	3	and	and	CCONJ
fumecheng-10736	6	4	second	second	ADJ
fumecheng-10736	6	5	constants	constant	NOUN
fumecheng-10736	6	6	is	be	AUX
fumecheng-10736	6	7	associated	associate	VERB
fumecheng-10736	6	8	with	with	ADP
fumecheng-10736	6	9	the	the	DET
fumecheng-10736	6	10	strain	strain	NOUN
fumecheng-10736	6	11	-	-	PUNCT
fumecheng-10736	6	12	gradient	gradient	NOUN
fumecheng-10736	6	13	and	and	CCONJ
fumecheng-10736	6	14	couplestress	couplestress	NOUN
fumecheng-10736	6	15	effects	effect	NOUN
fumecheng-10736	6	16	,	,	PUNCT
fumecheng-10736	6	17	respectively	respectively	ADV
fumecheng-10736	6	18	while	while	SCONJ
fumecheng-10736	6	19	the	the	DET
fumecheng-10736	6	20	third	third	ADJ
fumecheng-10736	6	21	constant	constant	NOUN
fumecheng-10736	6	22	is	be	AUX
fumecheng-10736	6	23	related	relate	VERB
fumecheng-10736	6	24	to	to	ADP
fumecheng-10736	6	25	the	the	DET
fumecheng-10736	6	26	velocity	velocity	NOUN
fumecheng-10736	6	27	-	-	PUNCT
fumecheng-10736	6	28	gradient	gradient	NOUN
fumecheng-10736	6	29	effect	effect	NOUN
fumecheng-10736	6	30	.	.	PUNCT
fumecheng-10736	7	1	the	the	DET
fumecheng-10736	7	2	gurtin	gurtin	PROPN
fumecheng-10736	7	3	-	-	PUNCT
fumecheng-10736	7	4	murdoch	murdoch	PROPN
fumecheng-10736	7	5	surface	surface	PROPN
fumecheng-10736	7	6	elasticity	elasticity	NOUN
fumecheng-10736	7	7	theory	theory	NOUN
fumecheng-10736	7	8	is	be	AUX
fumecheng-10736	7	9	adopted	adopt	VERB
fumecheng-10736	7	10	to	to	PART
fumecheng-10736	7	11	account	account	VERB
fumecheng-10736	7	12	for	for	ADP
fumecheng-10736	7	13	the	the	DET
fumecheng-10736	7	14	surface	surface	NOUN
fumecheng-10736	7	15	-	-	PUNCT
fumecheng-10736	7	16	free	free	ADJ
fumecheng-10736	7	17	energy	energy	NOUN
fumecheng-10736	7	18	.	.	PUNCT
fumecheng-10736	8	1	to	to	PART
fumecheng-10736	8	2	obtain	obtain	VERB
fumecheng-10736	8	3	the	the	DET
fumecheng-10736	8	4	system	system	NOUN
fumecheng-10736	8	5	governing	govern	VERB
fumecheng-10736	8	6	equation	equation	NOUN
fumecheng-10736	8	7	as	as	ADV
fumecheng-10736	8	8	well	well	ADV
fumecheng-10736	8	9	as	as	ADP
fumecheng-10736	8	10	corresponding	corresponding	ADJ
fumecheng-10736	8	11	boundary	boundary	ADJ
fumecheng-10736	8	12	conditions	condition	NOUN
fumecheng-10736	8	13	,	,	PUNCT
fumecheng-10736	8	14	hamilton	hamilton	PROPN
fumecheng-10736	8	15	’s	’s	PART
fumecheng-10736	8	16	principle	principle	NOUN
fumecheng-10736	8	17	is	be	AUX
fumecheng-10736	8	18	called	call	VERB
fumecheng-10736	8	19	for	for	ADP
fumecheng-10736	8	20	.	.	PUNCT
fumecheng-10736	9	1	three	three	NUM
fumecheng-10736	9	2	numerical	numerical	ADJ
fumecheng-10736	9	3	simulations	simulation	NOUN
fumecheng-10736	9	4	are	be	AUX
fumecheng-10736	9	5	presented	present	VERB
fumecheng-10736	9	6	to	to	PART
fumecheng-10736	9	7	characterize	characterize	VERB
fumecheng-10736	9	8	the	the	DET
fumecheng-10736	9	9	influences	influence	NOUN
fumecheng-10736	9	10	of	of	ADP
fumecheng-10736	9	11	the	the	DET
fumecheng-10736	9	12	material	material	ADJ
fumecheng-10736	9	13	small	small	ADJ
fumecheng-10736	9	14	-	-	PUNCT
fumecheng-10736	9	15	scale	scale	NOUN
fumecheng-10736	9	16	effect	effect	NOUN
fumecheng-10736	9	17	,	,	PUNCT
fumecheng-10736	9	18	the	the	DET
fumecheng-10736	9	19	surface	surface	NOUN
fumecheng-10736	9	20	-	-	PUNCT
fumecheng-10736	9	21	energy	energy	NOUN
fumecheng-10736	9	22	effect	effect	NOUN
fumecheng-10736	9	23	,	,	PUNCT
fumecheng-10736	9	24	and	and	CCONJ
fumecheng-10736	9	25	the	the	DET
fumecheng-10736	9	26	surrounding	surround	VERB
fumecheng-10736	9	27	substrate	substrate	NOUN
fumecheng-10736	9	28	medium	medium	NOUN
fumecheng-10736	9	29	on	on	ADP
fumecheng-10736	9	30	bending	bend	VERB
fumecheng-10736	9	31	,	,	PUNCT
fumecheng-10736	9	32	buckling	buckling	NOUN
fumecheng-10736	9	33	,	,	PUNCT
fumecheng-10736	9	34	and	and	CCONJ
fumecheng-10736	9	35	free	free	ADJ
fumecheng-10736	9	36	vibration	vibration	NOUN
fumecheng-10736	9	37	responses	response	NOUN
fumecheng-10736	9	38	of	of	ADP
fumecheng-10736	9	39	received	receive	VERB
fumecheng-10736	9	40	:	:	PUNCT
fumecheng-10736	9	41	may	may	AUX
fumecheng-10736	9	42	06	06	NUM
fumecheng-10736	9	43	,	,	PUNCT
fumecheng-10736	9	44	2022	2022	NUM
fumecheng-10736	9	45	/	/	SYM
fumecheng-10736	9	46	accepted	accept	VERB
fumecheng-10736	9	47	june	june	PROPN
fumecheng-10736	9	48	11	11	NUM
fumecheng-10736	9	49	,	,	PUNCT
fumecheng-10736	9	50	2022	2022	NUM
fumecheng-10736	9	51	corresponding	correspond	VERB
fumecheng-10736	9	52	author	author	NOUN
fumecheng-10736	9	53	:	:	PUNCT
fumecheng-10736	9	54	worathep	worathep	PROPN
fumecheng-10736	9	55	sae	sae	PROPN
fumecheng-10736	9	56	-	-	ADJ
fumecheng-10736	9	57	long	long	ADJ
fumecheng-10736	9	58	civil	civil	ADJ
fumecheng-10736	9	59	engineering	engineering	NOUN
fumecheng-10736	9	60	program	program	NOUN
fumecheng-10736	9	61	,	,	PUNCT
fumecheng-10736	9	62	school	school	NOUN
fumecheng-10736	9	63	of	of	ADP
fumecheng-10736	9	64	engineering	engineering	NOUN
fumecheng-10736	9	65	,	,	PUNCT
fumecheng-10736	9	66	university	university	NOUN
fumecheng-10736	9	67	of	of	ADP
fumecheng-10736	9	68	phayao	phayao	NOUN
fumecheng-10736	9	69	,	,	PUNCT
fumecheng-10736	9	70	phayao	phayao	NOUN
fumecheng-10736	9	71	,	,	PUNCT
fumecheng-10736	9	72	56000	56000	NUM
fumecheng-10736	9	73	,	,	PUNCT
fumecheng-10736	9	74	thailand	thailand	PROPN
fumecheng-10736	9	75	e	e	PROPN
fumecheng-10736	9	76	-	-	NOUN
fumecheng-10736	9	77	mail	mail	NOUN
fumecheng-10736	9	78	:	:	PUNCT
fumecheng-10736	9	79	worathep.sa@up.ac.th	worathep.sa@up.ac.th	PROPN
fumecheng-10736	9	80	562	562	NUM
fumecheng-10736	9	81	s.	s.	PROPN
fumecheng-10736	9	82	limkatanyu	limkatanyu	PROPN
fumecheng-10736	9	83	,	,	PUNCT
fumecheng-10736	9	84	w.	w.	PROPN
fumecheng-10736	9	85	sae	sae	PROPN
fumecheng-10736	9	86	-	-	PROPN
fumecheng-10736	9	87	long	long	ADV
fumecheng-10736	9	88	,	,	PUNCT
fumecheng-10736	9	89	j.	j.	PROPN
fumecheng-10736	9	90	rungamornrat	rungamornrat	PROPN
fumecheng-10736	9	91	,	,	PUNCT
fumecheng-10736	9	92	et	et	PROPN
fumecheng-10736	9	93	al	al	PROPN
fumecheng-10736	9	94	.	.	PUNCT
fumecheng-10736	10	1	nanobeam	nanobeam	ADJ
fumecheng-10736	10	2	-	-	PUNCT
fumecheng-10736	10	3	substrate	substrate	NOUN
fumecheng-10736	10	4	medium	medium	ADJ
fumecheng-10736	10	5	systems	system	NOUN
fumecheng-10736	10	6	.	.	PUNCT
fumecheng-10736	11	1	the	the	DET
fumecheng-10736	11	2	first	first	ADJ
fumecheng-10736	11	3	simulation	simulation	NOUN
fumecheng-10736	11	4	focuses	focus	VERB
fumecheng-10736	11	5	on	on	ADP
fumecheng-10736	11	6	the	the	DET
fumecheng-10736	11	7	bending	bend	VERB
fumecheng-10736	11	8	response	response	NOUN
fumecheng-10736	11	9	and	and	CCONJ
fumecheng-10736	11	10	shows	show	VERB
fumecheng-10736	11	11	the	the	DET
fumecheng-10736	11	12	ability	ability	NOUN
fumecheng-10736	11	13	of	of	ADP
fumecheng-10736	11	14	the	the	DET
fumecheng-10736	11	15	proposed	propose	VERB
fumecheng-10736	11	16	model	model	NOUN
fumecheng-10736	11	17	to	to	PART
fumecheng-10736	11	18	eliminate	eliminate	VERB
fumecheng-10736	11	19	the	the	DET
fumecheng-10736	11	20	paradoxical	paradoxical	ADJ
fumecheng-10736	11	21	characteristic	characteristic	ADJ
fumecheng-10736	11	22	inherent	inherent	ADJ
fumecheng-10736	11	23	to	to	PART
fumecheng-10736	11	24	nanobeam	nanobeam	NOUN
fumecheng-10736	11	25	models	model	NOUN
fumecheng-10736	11	26	proposed	propose	VERB
fumecheng-10736	11	27	in	in	ADP
fumecheng-10736	11	28	the	the	DET
fumecheng-10736	11	29	literature	literature	NOUN
fumecheng-10736	11	30	.	.	PUNCT
fumecheng-10736	12	1	the	the	DET
fumecheng-10736	12	2	second	second	ADJ
fumecheng-10736	12	3	and	and	CCONJ
fumecheng-10736	12	4	third	third	ADJ
fumecheng-10736	12	5	simulations	simulation	NOUN
fumecheng-10736	12	6	perform	perform	VERB
fumecheng-10736	12	7	the	the	DET
fumecheng-10736	12	8	sensitivity	sensitivity	NOUN
fumecheng-10736	12	9	investigation	investigation	NOUN
fumecheng-10736	12	10	of	of	ADP
fumecheng-10736	12	11	the	the	DET
fumecheng-10736	12	12	system	system	NOUN
fumecheng-10736	12	13	parameters	parameter	NOUN
fumecheng-10736	12	14	on	on	ADP
fumecheng-10736	12	15	the	the	DET
fumecheng-10736	12	16	buckling	buckle	VERB
fumecheng-10736	12	17	load	load	NOUN
fumecheng-10736	12	18	and	and	CCONJ
fumecheng-10736	12	19	the	the	DET
fumecheng-10736	12	20	natural	natural	ADJ
fumecheng-10736	12	21	frequency	frequency	NOUN
fumecheng-10736	12	22	,	,	PUNCT
fumecheng-10736	12	23	respectively	respectively	ADV
fumecheng-10736	12	24	.	.	PUNCT
fumecheng-10736	13	1	all	all	DET
fumecheng-10736	13	2	analytical	analytical	ADJ
fumecheng-10736	13	3	results	result	NOUN
fumecheng-10736	13	4	reveal	reveal	VERB
fumecheng-10736	13	5	that	that	SCONJ
fumecheng-10736	13	6	both	both	DET
fumecheng-10736	13	7	material	material	ADJ
fumecheng-10736	13	8	small	small	ADJ
fumecheng-10736	13	9	-	-	PUNCT
fumecheng-10736	13	10	scale	scale	NOUN
fumecheng-10736	13	11	and	and	CCONJ
fumecheng-10736	13	12	surface	surface	NOUN
fumecheng-10736	13	13	-	-	PUNCT
fumecheng-10736	13	14	energy	energy	NOUN
fumecheng-10736	13	15	effects	effect	NOUN
fumecheng-10736	13	16	consistently	consistently	ADV
fumecheng-10736	13	17	stiffen	stiffen	VERB
fumecheng-10736	13	18	the	the	DET
fumecheng-10736	13	19	system	system	NOUN
fumecheng-10736	13	20	response	response	NOUN
fumecheng-10736	13	21	while	while	SCONJ
fumecheng-10736	13	22	the	the	DET
fumecheng-10736	13	23	velocity	velocity	NOUN
fumecheng-10736	13	24	-	-	PUNCT
fumecheng-10736	13	25	gradient	gradient	NOUN
fumecheng-10736	13	26	effect	effect	NOUN
fumecheng-10736	13	27	weakens	weaken	VERB
fumecheng-10736	13	28	the	the	DET
fumecheng-10736	13	29	system	system	NOUN
fumecheng-10736	13	30	response	response	NOUN
fumecheng-10736	13	31	.	.	PUNCT
fumecheng-10736	14	1	furthermore	furthermore	ADV
fumecheng-10736	14	2	,	,	PUNCT
fumecheng-10736	14	3	these	these	DET
fumecheng-10736	14	4	sized	sized	ADJ
fumecheng-10736	14	5	-	-	PUNCT
fumecheng-10736	14	6	scale	scale	NOUN
fumecheng-10736	14	7	effects	effect	NOUN
fumecheng-10736	14	8	are	be	AUX
fumecheng-10736	14	9	more	more	ADV
fumecheng-10736	14	10	pronounced	pronounced	ADJ
fumecheng-10736	14	11	when	when	SCONJ
fumecheng-10736	14	12	the	the	DET
fumecheng-10736	14	13	underlying	underlie	VERB
fumecheng-10736	14	14	substrate	substrate	NOUN
fumecheng-10736	14	15	medium	medium	NOUN
fumecheng-10736	14	16	becomes	become	VERB
fumecheng-10736	14	17	softer	soft	ADJ
fumecheng-10736	14	18	.	.	PUNCT
fumecheng-10736	15	1	key	key	ADJ
fumecheng-10736	15	2	words	word	NOUN
fumecheng-10736	15	3	:	:	PUNCT
fumecheng-10736	15	4	reformulated	reformulate	VERB
fumecheng-10736	15	5	strain	strain	NOUN
fumecheng-10736	15	6	gradient	gradient	NOUN
fumecheng-10736	15	7	elasticity	elasticity	NOUN
fumecheng-10736	15	8	theory	theory	NOUN
fumecheng-10736	15	9	,	,	PUNCT
fumecheng-10736	15	10	small	small	ADJ
fumecheng-10736	15	11	-	-	PUNCT
fumecheng-10736	15	12	scale	scale	NOUN
fumecheng-10736	15	13	effect	effect	NOUN
fumecheng-10736	15	14	,	,	PUNCT
fumecheng-10736	15	15	surfaceenergy	surfaceenergy	NOUN
fumecheng-10736	15	16	effect	effect	NOUN
fumecheng-10736	15	17	,	,	PUNCT
fumecheng-10736	15	18	bending	bend	VERB
fumecheng-10736	15	19	analysis	analysis	NOUN
fumecheng-10736	15	20	,	,	PUNCT
fumecheng-10736	15	21	buckling	buckle	VERB
fumecheng-10736	15	22	analysis	analysis	NOUN
fumecheng-10736	15	23	,	,	PUNCT
fumecheng-10736	15	24	free	free	ADJ
fumecheng-10736	15	25	vibration	vibration	NOUN
fumecheng-10736	15	26	analysis	analysis	NOUN
fumecheng-10736	15	27	1	1	NUM
fumecheng-10736	15	28	.	.	PUNCT
fumecheng-10736	15	29	introduction	introduction	NOUN
fumecheng-10736	15	30	with	with	ADP
fumecheng-10736	15	31	the	the	DET
fumecheng-10736	15	32	discovery	discovery	NOUN
fumecheng-10736	15	33	of	of	ADP
fumecheng-10736	15	34	carbon	carbon	NOUN
fumecheng-10736	15	35	nanotubes	nanotube	NOUN
fumecheng-10736	15	36	(	(	PUNCT
fumecheng-10736	15	37	cnts	cnt	NOUN
fumecheng-10736	15	38	)	)	PUNCT
fumecheng-10736	15	39	by	by	ADP
fumecheng-10736	15	40	iijima	iijima	PROPN
fumecheng-10736	16	1	[	[	X
fumecheng-10736	16	2	1	1	NUM
fumecheng-10736	16	3	]	]	PUNCT
fumecheng-10736	16	4	in	in	ADP
fumecheng-10736	16	5	1991	1991	NUM
fumecheng-10736	16	6	,	,	PUNCT
fumecheng-10736	16	7	distinct	distinct	ADJ
fumecheng-10736	16	8	responses	response	NOUN
fumecheng-10736	16	9	of	of	ADP
fumecheng-10736	16	10	nano	nano	NOUN
fumecheng-10736	16	11	-	-	PUNCT
fumecheng-10736	16	12	sized	sized	ADJ
fumecheng-10736	16	13	structures	structure	NOUN
fumecheng-10736	16	14	have	have	AUX
fumecheng-10736	16	15	drawn	draw	VERB
fumecheng-10736	16	16	high	high	ADJ
fumecheng-10736	16	17	attention	attention	NOUN
fumecheng-10736	16	18	from	from	ADP
fumecheng-10736	16	19	researchers	researcher	NOUN
fumecheng-10736	16	20	worldwide	worldwide	ADV
fumecheng-10736	16	21	.	.	PUNCT
fumecheng-10736	17	1	as	as	ADP
fumecheng-10736	17	2	a	a	DET
fumecheng-10736	17	3	result	result	NOUN
fumecheng-10736	17	4	,	,	PUNCT
fumecheng-10736	17	5	several	several	ADJ
fumecheng-10736	17	6	innovative	innovative	ADJ
fumecheng-10736	17	7	devices	device	NOUN
fumecheng-10736	17	8	and	and	CCONJ
fumecheng-10736	17	9	systems	system	NOUN
fumecheng-10736	17	10	have	have	AUX
fumecheng-10736	17	11	been	be	AUX
fumecheng-10736	17	12	possible	possible	ADJ
fumecheng-10736	17	13	with	with	ADP
fumecheng-10736	17	14	superior	superior	ADJ
fumecheng-10736	17	15	and	and	CCONJ
fumecheng-10736	17	16	unique	unique	ADJ
fumecheng-10736	17	17	mechanical	mechanical	ADJ
fumecheng-10736	17	18	characteristics	characteristic	NOUN
fumecheng-10736	17	19	of	of	ADP
fumecheng-10736	17	20	structures	structure	NOUN
fumecheng-10736	17	21	at	at	ADP
fumecheng-10736	17	22	nanoscale	nanoscale	NOUN
fumecheng-10736	17	23	[	[	X
fumecheng-10736	17	24	2	2	NUM
fumecheng-10736	17	25	-	-	SYM
fumecheng-10736	17	26	4	4	NUM
fumecheng-10736	17	27	]	]	PUNCT
fumecheng-10736	17	28	.	.	PUNCT
fumecheng-10736	18	1	to	to	PART
fumecheng-10736	18	2	expedite	expedite	VERB
fumecheng-10736	18	3	and	and	CCONJ
fumecheng-10736	18	4	support	support	VERB
fumecheng-10736	18	5	the	the	DET
fumecheng-10736	18	6	development	development	NOUN
fumecheng-10736	18	7	of	of	ADP
fumecheng-10736	18	8	these	these	DET
fumecheng-10736	18	9	innovative	innovative	ADJ
fumecheng-10736	18	10	devices	device	NOUN
fumecheng-10736	18	11	and	and	CCONJ
fumecheng-10736	18	12	systems	system	NOUN
fumecheng-10736	18	13	,	,	PUNCT
fumecheng-10736	18	14	a	a	DET
fumecheng-10736	18	15	thorough	thorough	ADJ
fumecheng-10736	18	16	understanding	understanding	NOUN
fumecheng-10736	18	17	of	of	ADP
fumecheng-10736	18	18	characteristics	characteristic	NOUN
fumecheng-10736	18	19	and	and	CCONJ
fumecheng-10736	18	20	behaviours	behaviour	NOUN
fumecheng-10736	18	21	of	of	ADP
fumecheng-10736	18	22	their	their	PRON
fumecheng-10736	18	23	nano	nano	NOUN
fumecheng-10736	18	24	-	-	PUNCT
fumecheng-10736	18	25	sized	sized	ADJ
fumecheng-10736	18	26	structural	structural	ADJ
fumecheng-10736	18	27	components	component	NOUN
fumecheng-10736	18	28	is	be	AUX
fumecheng-10736	18	29	of	of	ADP
fumecheng-10736	18	30	paramount	paramount	ADJ
fumecheng-10736	18	31	importance	importance	NOUN
fumecheng-10736	18	32	.	.	PUNCT
fumecheng-10736	19	1	in	in	ADP
fumecheng-10736	19	2	general	general	ADJ
fumecheng-10736	19	3	,	,	PUNCT
fumecheng-10736	19	4	the	the	DET
fumecheng-10736	19	5	experimental	experimental	ADJ
fumecheng-10736	19	6	method	method	NOUN
fumecheng-10736	19	7	is	be	AUX
fumecheng-10736	19	8	the	the	DET
fumecheng-10736	19	9	most	most	ADV
fumecheng-10736	19	10	straightforward	straightforward	ADJ
fumecheng-10736	19	11	way	way	NOUN
fumecheng-10736	19	12	to	to	PART
fumecheng-10736	19	13	characterize	characterize	VERB
fumecheng-10736	19	14	mechanical	mechanical	ADJ
fumecheng-10736	19	15	responses	response	NOUN
fumecheng-10736	19	16	of	of	ADP
fumecheng-10736	19	17	structures	structure	NOUN
fumecheng-10736	19	18	.	.	PUNCT
fumecheng-10736	20	1	however	however	ADV
fumecheng-10736	20	2	,	,	PUNCT
fumecheng-10736	20	3	there	there	PRON
fumecheng-10736	20	4	are	be	VERB
fumecheng-10736	20	5	several	several	ADJ
fumecheng-10736	20	6	limitations	limitation	NOUN
fumecheng-10736	20	7	on	on	ADP
fumecheng-10736	20	8	experiments	experiment	NOUN
fumecheng-10736	20	9	conducted	conduct	VERB
fumecheng-10736	20	10	on	on	ADP
fumecheng-10736	20	11	nano	nano	NOUN
fumecheng-10736	20	12	-	-	PUNCT
fumecheng-10736	20	13	sized	sized	ADJ
fumecheng-10736	20	14	specimens	specimen	NOUN
fumecheng-10736	20	15	,	,	PUNCT
fumecheng-10736	20	16	such	such	ADJ
fumecheng-10736	20	17	as	as	ADP
fumecheng-10736	20	18	the	the	DET
fumecheng-10736	20	19	necessity	necessity	NOUN
fumecheng-10736	20	20	of	of	ADP
fumecheng-10736	20	21	a	a	DET
fumecheng-10736	20	22	specifically	specifically	ADV
fumecheng-10736	20	23	testing	testing	NOUN
fumecheng-10736	20	24	apparatus	apparatus	NOUN
fumecheng-10736	20	25	,	,	PUNCT
fumecheng-10736	20	26	the	the	DET
fumecheng-10736	20	27	requirement	requirement	NOUN
fumecheng-10736	20	28	of	of	ADP
fumecheng-10736	20	29	a	a	DET
fumecheng-10736	20	30	special	special	ADJ
fumecheng-10736	20	31	testing	testing	NOUN
fumecheng-10736	20	32	procedure	procedure	NOUN
fumecheng-10736	20	33	,	,	PUNCT
fumecheng-10736	20	34	and	and	CCONJ
fumecheng-10736	20	35	the	the	DET
fumecheng-10736	20	36	expensive	expensive	ADJ
fumecheng-10736	20	37	testing	testing	NOUN
fumecheng-10736	20	38	cost	cost	NOUN
fumecheng-10736	20	39	,	,	PUNCT
fumecheng-10736	20	40	etc	etc	X
fumecheng-10736	20	41	.	.	X
fumecheng-10736	21	1	[	[	X
fumecheng-10736	21	2	5	5	NUM
fumecheng-10736	21	3	-	-	SYM
fumecheng-10736	21	4	7	7	NUM
fumecheng-10736	21	5	]	]	PUNCT
fumecheng-10736	21	6	.	.	PUNCT
fumecheng-10736	22	1	furthermore	furthermore	ADV
fumecheng-10736	22	2	,	,	PUNCT
fumecheng-10736	22	3	available	available	ADJ
fumecheng-10736	22	4	classical	classical	ADJ
fumecheng-10736	22	5	structural	structural	ADJ
fumecheng-10736	22	6	models	model	NOUN
fumecheng-10736	22	7	(	(	PUNCT
fumecheng-10736	22	8	e.g.	e.g.	ADV
fumecheng-10736	22	9	bar	bar	NOUN
fumecheng-10736	22	10	,	,	PUNCT
fumecheng-10736	22	11	beam	beam	NOUN
fumecheng-10736	22	12	,	,	PUNCT
fumecheng-10736	22	13	shell	shell	ADJ
fumecheng-10736	22	14	,	,	PUNCT
fumecheng-10736	22	15	and	and	CCONJ
fumecheng-10736	22	16	plate	plate	NOUN
fumecheng-10736	22	17	models	model	NOUN
fumecheng-10736	22	18	)	)	PUNCT
fumecheng-10736	22	19	are	be	AUX
fumecheng-10736	22	20	inadequate	inadequate	ADJ
fumecheng-10736	22	21	to	to	PART
fumecheng-10736	22	22	characterize	characterize	VERB
fumecheng-10736	22	23	the	the	DET
fumecheng-10736	22	24	structural	structural	ADJ
fumecheng-10736	22	25	response	response	NOUN
fumecheng-10736	22	26	at	at	ADP
fumecheng-10736	22	27	nanoscale	nanoscale	NOUN
fumecheng-10736	22	28	since	since	SCONJ
fumecheng-10736	22	29	the	the	DET
fumecheng-10736	22	30	material	material	ADJ
fumecheng-10736	22	31	small	small	ADJ
fumecheng-10736	22	32	-	-	PUNCT
fumecheng-10736	22	33	scale	scale	NOUN
fumecheng-10736	22	34	effect	effect	NOUN
fumecheng-10736	22	35	and	and	CCONJ
fumecheng-10736	22	36	the	the	DET
fumecheng-10736	22	37	size	size	NOUN
fumecheng-10736	22	38	dependency	dependency	NOUN
fumecheng-10736	22	39	inherent	inherent	ADJ
fumecheng-10736	22	40	to	to	ADP
fumecheng-10736	22	41	nano	nano	NOUN
fumecheng-10736	22	42	-	-	PUNCT
fumecheng-10736	22	43	sized	sized	ADJ
fumecheng-10736	22	44	structures	structure	NOUN
fumecheng-10736	22	45	are	be	AUX
fumecheng-10736	22	46	not	not	PART
fumecheng-10736	22	47	considered	consider	VERB
fumecheng-10736	22	48	[	[	PUNCT
fumecheng-10736	22	49	5	5	NUM
fumecheng-10736	22	50	-	-	SYM
fumecheng-10736	22	51	13	13	NUM
fumecheng-10736	22	52	]	]	PUNCT
fumecheng-10736	22	53	.	.	PUNCT
fumecheng-10736	23	1	therefore	therefore	ADV
fumecheng-10736	23	2	,	,	PUNCT
fumecheng-10736	23	3	a	a	DET
fumecheng-10736	23	4	rational	rational	ADJ
fumecheng-10736	23	5	mathematical	mathematical	ADJ
fumecheng-10736	23	6	model	model	NOUN
fumecheng-10736	23	7	capable	capable	ADJ
fumecheng-10736	23	8	of	of	ADP
fumecheng-10736	23	9	representing	represent	VERB
fumecheng-10736	23	10	the	the	DET
fumecheng-10736	23	11	material	material	ADJ
fumecheng-10736	23	12	smallscale	smallscale	NOUN
fumecheng-10736	23	13	effect	effect	NOUN
fumecheng-10736	23	14	and	and	CCONJ
fumecheng-10736	23	15	the	the	DET
fumecheng-10736	23	16	size	size	NOUN
fumecheng-10736	23	17	dependency	dependency	NOUN
fumecheng-10736	23	18	is	be	AUX
fumecheng-10736	23	19	deemed	deem	VERB
fumecheng-10736	23	20	necessary	necessary	ADJ
fumecheng-10736	23	21	and	and	CCONJ
fumecheng-10736	23	22	is	be	AUX
fumecheng-10736	23	23	the	the	DET
fumecheng-10736	23	24	main	main	ADJ
fumecheng-10736	23	25	emphasis	emphasis	NOUN
fumecheng-10736	23	26	of	of	ADP
fumecheng-10736	23	27	the	the	DET
fumecheng-10736	23	28	present	present	ADJ
fumecheng-10736	23	29	study	study	NOUN
fumecheng-10736	23	30	.	.	PUNCT
fumecheng-10736	24	1	in	in	ADP
fumecheng-10736	24	2	the	the	DET
fumecheng-10736	24	3	research	research	NOUN
fumecheng-10736	24	4	community	community	NOUN
fumecheng-10736	24	5	,	,	PUNCT
fumecheng-10736	24	6	both	both	CCONJ
fumecheng-10736	24	7	atomistic	atomistic	ADJ
fumecheng-10736	24	8	-	-	PUNCT
fumecheng-10736	24	9	based	base	VERB
fumecheng-10736	24	10	model	model	NOUN
fumecheng-10736	24	11	[	[	X
fumecheng-10736	24	12	14	14	NUM
fumecheng-10736	24	13	-	-	SYM
fumecheng-10736	24	14	17	17	NUM
fumecheng-10736	24	15	]	]	PUNCT
fumecheng-10736	24	16	and	and	CCONJ
fumecheng-10736	24	17	enhanced	enhance	VERB
fumecheng-10736	24	18	structural	structural	ADJ
fumecheng-10736	24	19	mechanics	mechanic	NOUN
fumecheng-10736	24	20	-	-	PUNCT
fumecheng-10736	24	21	based	base	VERB
fumecheng-10736	24	22	model	model	NOUN
fumecheng-10736	24	23	[	[	X
fumecheng-10736	24	24	18	18	NUM
fumecheng-10736	24	25	-	-	SYM
fumecheng-10736	24	26	20	20	NUM
fumecheng-10736	24	27	]	]	PUNCT
fumecheng-10736	24	28	have	have	AUX
fumecheng-10736	24	29	been	be	AUX
fumecheng-10736	24	30	employed	employ	VERB
fumecheng-10736	24	31	to	to	PART
fumecheng-10736	24	32	characterize	characterize	VERB
fumecheng-10736	24	33	mechanical	mechanical	ADJ
fumecheng-10736	24	34	responses	response	NOUN
fumecheng-10736	24	35	of	of	ADP
fumecheng-10736	24	36	nano	nano	NOUN
fumecheng-10736	24	37	-	-	PUNCT
fumecheng-10736	24	38	sized	sized	ADJ
fumecheng-10736	24	39	structures	structure	NOUN
fumecheng-10736	24	40	for	for	ADP
fumecheng-10736	24	41	a	a	DET
fumecheng-10736	24	42	wide	wide	ADJ
fumecheng-10736	24	43	spectrum	spectrum	NOUN
fumecheng-10736	24	44	of	of	ADP
fumecheng-10736	24	45	applications	application	NOUN
fumecheng-10736	24	46	[	[	X
fumecheng-10736	24	47	21	21	NUM
fumecheng-10736	24	48	-	-	SYM
fumecheng-10736	24	49	24	24	NUM
fumecheng-10736	24	50	]	]	PUNCT
fumecheng-10736	24	51	.	.	PUNCT
fumecheng-10736	25	1	although	although	SCONJ
fumecheng-10736	25	2	comprehensive	comprehensive	ADJ
fumecheng-10736	25	3	details	detail	NOUN
fumecheng-10736	25	4	on	on	ADP
fumecheng-10736	25	5	the	the	DET
fumecheng-10736	25	6	mechanical	mechanical	ADJ
fumecheng-10736	25	7	responses	response	NOUN
fumecheng-10736	25	8	of	of	ADP
fumecheng-10736	25	9	nano	nano	NOUN
fumecheng-10736	25	10	-	-	PUNCT
fumecheng-10736	25	11	sized	sized	ADJ
fumecheng-10736	25	12	structures	structure	NOUN
fumecheng-10736	25	13	can	can	AUX
fumecheng-10736	25	14	be	be	AUX
fumecheng-10736	25	15	gained	gain	VERB
fumecheng-10736	25	16	with	with	ADP
fumecheng-10736	25	17	the	the	DET
fumecheng-10736	25	18	atomisticbased	atomisticbase	VERB
fumecheng-10736	25	19	model	model	NOUN
fumecheng-10736	25	20	[	[	X
fumecheng-10736	25	21	14	14	NUM
fumecheng-10736	25	22	-	-	SYM
fumecheng-10736	25	23	17	17	NUM
fumecheng-10736	25	24	]	]	PUNCT
fumecheng-10736	25	25	,	,	PUNCT
fumecheng-10736	25	26	expensive	expensive	ADJ
fumecheng-10736	25	27	computational	computational	ADJ
fumecheng-10736	25	28	costs	cost	NOUN
fumecheng-10736	25	29	and	and	CCONJ
fumecheng-10736	25	30	sophisticated	sophisticated	ADJ
fumecheng-10736	25	31	modelling	modelling	NOUN
fumecheng-10736	25	32	efforts	effort	NOUN
fumecheng-10736	25	33	are	be	AUX
fumecheng-10736	25	34	usually	usually	ADV
fumecheng-10736	25	35	required	require	VERB
fumecheng-10736	25	36	with	with	ADP
fumecheng-10736	25	37	this	this	DET
fumecheng-10736	25	38	numerical	numerical	ADJ
fumecheng-10736	25	39	model	model	NOUN
fumecheng-10736	25	40	,	,	PUNCT
fumecheng-10736	25	41	thus	thus	ADV
fumecheng-10736	25	42	limiting	limit	VERB
fumecheng-10736	25	43	the	the	DET
fumecheng-10736	25	44	model	model	NOUN
fumecheng-10736	25	45	access	access	NOUN
fumecheng-10736	25	46	by	by	ADP
fumecheng-10736	25	47	researchers	researcher	NOUN
fumecheng-10736	25	48	.	.	PUNCT
fumecheng-10736	26	1	consequently	consequently	ADV
fumecheng-10736	26	2	,	,	PUNCT
fumecheng-10736	26	3	the	the	DET
fumecheng-10736	26	4	enhanced	enhanced	ADJ
fumecheng-10736	26	5	structural	structural	ADJ
fumecheng-10736	26	6	mechanics	mechanic	NOUN
fumecheng-10736	26	7	-	-	PUNCT
fumecheng-10736	26	8	based	base	VERB
fumecheng-10736	26	9	model	model	NOUN
fumecheng-10736	26	10	[	[	X
fumecheng-10736	26	11	18	18	NUM
fumecheng-10736	26	12	-	-	SYM
fumecheng-10736	26	13	20	20	NUM
fumecheng-10736	26	14	]	]	PUNCT
fumecheng-10736	26	15	have	have	AUX
fumecheng-10736	26	16	gained	gain	VERB
fumecheng-10736	26	17	increasing	increase	VERB
fumecheng-10736	26	18	popularity	popularity	NOUN
fumecheng-10736	26	19	due	due	ADP
fumecheng-10736	26	20	to	to	ADP
fumecheng-10736	26	21	its	its	PRON
fumecheng-10736	26	22	good	good	ADJ
fumecheng-10736	26	23	compromise	compromise	NOUN
fumecheng-10736	26	24	between	between	ADP
fumecheng-10736	26	25	model	model	NOUN
fumecheng-10736	26	26	efficiency	efficiency	NOUN
fumecheng-10736	26	27	and	and	CCONJ
fumecheng-10736	26	28	model	model	NOUN
fumecheng-10736	26	29	accuracy	accuracy	NOUN
fumecheng-10736	26	30	[	[	X
fumecheng-10736	26	31	11	11	NUM
fumecheng-10736	26	32	]	]	PUNCT
fumecheng-10736	26	33	.	.	PUNCT
fumecheng-10736	27	1	the	the	DET
fumecheng-10736	27	2	enhanced	enhanced	ADJ
fumecheng-10736	27	3	structural	structural	ADJ
fumecheng-10736	27	4	mechanics	mechanic	NOUN
fumecheng-10736	27	5	-	-	PUNCT
fumecheng-10736	27	6	based	base	VERB
fumecheng-10736	27	7	model	model	NOUN
fumecheng-10736	27	8	is	be	AUX
fumecheng-10736	27	9	possible	possible	ADJ
fumecheng-10736	27	10	with	with	ADP
fumecheng-10736	27	11	unification	unification	NOUN
fumecheng-10736	27	12	of	of	ADP
fumecheng-10736	27	13	non	non	ADJ
fumecheng-10736	27	14	-	-	ADJ
fumecheng-10736	27	15	classical	classical	ADJ
fumecheng-10736	27	16	elasticity	elasticity	NOUN
fumecheng-10736	27	17	theories	theory	NOUN
fumecheng-10736	27	18	[	[	X
fumecheng-10736	27	19	25	25	NUM
fumecheng-10736	27	20	-	-	SYM
fumecheng-10736	27	21	33	33	NUM
fumecheng-10736	27	22	]	]	PUNCT
fumecheng-10736	27	23	and	and	CCONJ
fumecheng-10736	27	24	classical	classical	ADJ
fumecheng-10736	27	25	structural	structural	ADJ
fumecheng-10736	27	26	models	model	NOUN
fumecheng-10736	27	27	.	.	PUNCT
fumecheng-10736	28	1	when	when	SCONJ
fumecheng-10736	28	2	the	the	DET
fumecheng-10736	28	3	structural	structural	ADJ
fumecheng-10736	28	4	dimension	dimension	NOUN
fumecheng-10736	28	5	is	be	AUX
fumecheng-10736	28	6	in	in	ADP
fumecheng-10736	28	7	the	the	DET
fumecheng-10736	28	8	order	order	NOUN
fumecheng-10736	28	9	of	of	ADP
fumecheng-10736	28	10	nanometer	nanometer	NOUN
fumecheng-10736	28	11	,	,	PUNCT
fumecheng-10736	28	12	the	the	DET
fumecheng-10736	28	13	material	material	ADJ
fumecheng-10736	28	14	small	small	ADJ
fumecheng-10736	28	15	-	-	PUNCT
fumecheng-10736	28	16	scale	scale	NOUN
fumecheng-10736	28	17	effect	effect	NOUN
fumecheng-10736	28	18	induced	induce	VERB
fumecheng-10736	28	19	by	by	ADP
fumecheng-10736	28	20	long	long	ADJ
fumecheng-10736	28	21	-	-	PUNCT
fumecheng-10736	28	22	range	range	NOUN
fumecheng-10736	28	23	interatomic	interatomic	ADJ
fumecheng-10736	28	24	forces	force	NOUN
fumecheng-10736	28	25	becomes	become	VERB
fumecheng-10736	28	26	pronounced	pronounce	VERB
fumecheng-10736	28	27	.	.	PUNCT
fumecheng-10736	29	1	a	a	DET
fumecheng-10736	29	2	family	family	NOUN
fumecheng-10736	29	3	of	of	ADP
fumecheng-10736	29	4	higher	high	ADJ
fumecheng-10736	29	5	-	-	PUNCT
fumecheng-10736	29	6	order	order	NOUN
fumecheng-10736	29	7	elasticity	elasticity	NOUN
fumecheng-10736	29	8	theories	theory	NOUN
fumecheng-10736	29	9	have	have	AUX
fumecheng-10736	29	10	been	be	AUX
fumecheng-10736	29	11	proposed	propose	VERB
fumecheng-10736	29	12	in	in	ADP
fumecheng-10736	29	13	the	the	DET
fumecheng-10736	29	14	research	research	NOUN
fumecheng-10736	29	15	community	community	NOUN
fumecheng-10736	29	16	to	to	PART
fumecheng-10736	29	17	address	address	VERB
fumecheng-10736	29	18	this	this	DET
fumecheng-10736	29	19	material	material	ADJ
fumecheng-10736	29	20	small	small	ADJ
fumecheng-10736	29	21	-	-	PUNCT
fumecheng-10736	29	22	scale	scale	NOUN
fumecheng-10736	29	23	effect	effect	NOUN
fumecheng-10736	30	1	[	[	X
fumecheng-10736	30	2	34	34	NUM
fumecheng-10736	30	3	-	-	SYM
fumecheng-10736	30	4	39	39	NUM
fumecheng-10736	30	5	]	]	PUNCT
fumecheng-10736	30	6	.	.	PUNCT
fumecheng-10736	31	1	among	among	ADP
fumecheng-10736	31	2	these	these	DET
fumecheng-10736	31	3	higher	high	ADJ
fumecheng-10736	31	4	-	-	PUNCT
fumecheng-10736	31	5	order	order	NOUN
fumecheng-10736	31	6	elasticity	elasticity	NOUN
fumecheng-10736	31	7	theories	theory	NOUN
fumecheng-10736	31	8	,	,	PUNCT
fumecheng-10736	31	9	the	the	DET
fumecheng-10736	31	10	nonlocal	nonlocal	ADJ
fumecheng-10736	31	11	elasticity	elasticity	NOUN
fumecheng-10736	31	12	theory	theory	NOUN
fumecheng-10736	31	13	proposed	propose	VERB
fumecheng-10736	31	14	by	by	ADP
fumecheng-10736	31	15	eringen	eringen	PROPN
fumecheng-10736	31	16	[	[	X
fumecheng-10736	31	17	25	25	NUM
fumecheng-10736	31	18	-	-	SYM
fumecheng-10736	31	19	26	26	NUM
fumecheng-10736	31	20	]	]	PUNCT
fumecheng-10736	31	21	has	have	AUX
fumecheng-10736	31	22	been	be	AUX
fumecheng-10736	31	23	the	the	DET
fumecheng-10736	31	24	most	most	ADV
fumecheng-10736	31	25	popular	popular	ADJ
fumecheng-10736	31	26	and	and	CCONJ
fumecheng-10736	31	27	was	be	AUX
fumecheng-10736	31	28	first	first	ADV
fumecheng-10736	31	29	employed	employ	VERB
fumecheng-10736	31	30	by	by	ADP
fumecheng-10736	31	31	peddieson	peddieson	NOUN
fumecheng-10736	31	32	et	et	PROPN
fumecheng-10736	31	33	al	al	PROPN
fumecheng-10736	31	34	.	.	PUNCT
fumecheng-10736	32	1	[	[	X
fumecheng-10736	32	2	34	34	NUM
fumecheng-10736	32	3	]	]	PUNCT
fumecheng-10736	32	4	to	to	PART
fumecheng-10736	32	5	construct	construct	VERB
fumecheng-10736	32	6	the	the	DET
fumecheng-10736	32	7	nano	nano	NOUN
fumecheng-10736	32	8	-	-	PUNCT
fumecheng-10736	32	9	sized	sized	ADJ
fumecheng-10736	32	10	beam	beam	NOUN
fumecheng-10736	32	11	model	model	NOUN
fumecheng-10736	32	12	.	.	PUNCT
fumecheng-10736	33	1	however	however	ADV
fumecheng-10736	33	2	,	,	PUNCT
fumecheng-10736	33	3	the	the	DET
fumecheng-10736	33	4	material	material	ADJ
fumecheng-10736	33	5	small	small	ADJ
fumecheng-10736	33	6	-	-	PUNCT
fumecheng-10736	33	7	scale	scale	NOUN
fumecheng-10736	33	8	effect	effect	NOUN
fumecheng-10736	33	9	was	be	AUX
fumecheng-10736	33	10	not	not	PART
fumecheng-10736	33	11	detected	detect	VERB
fumecheng-10736	33	12	by	by	ADP
fumecheng-10736	33	13	this	this	DET
fumecheng-10736	33	14	beam	beam	NOUN
fumecheng-10736	33	15	model	model	NOUN
fumecheng-10736	33	16	in	in	ADP
fumecheng-10736	33	17	the	the	DET
fumecheng-10736	33	18	case	case	NOUN
fumecheng-10736	33	19	of	of	ADP
fumecheng-10736	33	20	the	the	DET
fumecheng-10736	33	21	cantilever	cantilever	NOUN
fumecheng-10736	33	22	beam	beam	NOUN
fumecheng-10736	33	23	under	under	ADP
fumecheng-10736	33	24	an	an	DET
fumecheng-10736	33	25	end	end	NOUN
fumecheng-10736	33	26	load	load	NOUN
fumecheng-10736	33	27	[	[	X
fumecheng-10736	33	28	35	35	NUM
fumecheng-10736	33	29	,	,	PUNCT
fumecheng-10736	33	30	38	38	NUM
fumecheng-10736	33	31	,	,	PUNCT
fumecheng-10736	33	32	40	40	NUM
fumecheng-10736	33	33	-	-	SYM
fumecheng-10736	33	34	42	42	NUM
fumecheng-10736	33	35	]	]	PUNCT
fumecheng-10736	33	36	.	.	PUNCT
fumecheng-10736	34	1	this	this	DET
fumecheng-10736	34	2	peculiar	peculiar	ADJ
fumecheng-10736	34	3	response	response	NOUN
fumecheng-10736	34	4	was	be	AUX
fumecheng-10736	34	5	bending	bend	VERB
fumecheng-10736	34	6	,	,	PUNCT
fumecheng-10736	34	7	buckling	buckling	NOUN
fumecheng-10736	34	8	,	,	PUNCT
fumecheng-10736	34	9	and	and	CCONJ
fumecheng-10736	34	10	free	free	ADJ
fumecheng-10736	34	11	vibration	vibration	NOUN
fumecheng-10736	34	12	analyses	analysis	NOUN
fumecheng-10736	34	13	of	of	ADP
fumecheng-10736	34	14	nanobeam	nanobeam	ADJ
fumecheng-10736	34	15	-	-	PUNCT
fumecheng-10736	34	16	substrate	substrate	NOUN
fumecheng-10736	34	17	medium	medium	ADJ
fumecheng-10736	34	18	systems	system	NOUN
fumecheng-10736	34	19	563	563	NUM
fumecheng-10736	34	20	defined	define	VERB
fumecheng-10736	34	21	as	as	ADP
fumecheng-10736	34	22	a	a	DET
fumecheng-10736	34	23	“	"	PUNCT
fumecheng-10736	34	24	paradox	paradox	NOUN
fumecheng-10736	34	25	”	"	PUNCT
fumecheng-10736	34	26	in	in	ADP
fumecheng-10736	34	27	the	the	DET
fumecheng-10736	34	28	literature	literature	NOUN
fumecheng-10736	34	29	[	[	X
fumecheng-10736	34	30	34	34	NUM
fumecheng-10736	34	31	,	,	PUNCT
fumecheng-10736	34	32	38	38	NUM
fumecheng-10736	34	33	,	,	PUNCT
fumecheng-10736	34	34	40	40	NUM
fumecheng-10736	34	35	-	-	SYM
fumecheng-10736	34	36	43	43	NUM
fumecheng-10736	34	37	]	]	PUNCT
fumecheng-10736	34	38	.	.	PUNCT
fumecheng-10736	35	1	romano	romano	NOUN
fumecheng-10736	35	2	et	et	PROPN
fumecheng-10736	35	3	al	al	PROPN
fumecheng-10736	35	4	.	.	PUNCT
fumecheng-10736	36	1	[	[	X
fumecheng-10736	36	2	43	43	NUM
fumecheng-10736	36	3	]	]	PUNCT
fumecheng-10736	36	4	demonstrated	demonstrate	VERB
fumecheng-10736	36	5	that	that	SCONJ
fumecheng-10736	36	6	an	an	DET
fumecheng-10736	36	7	ill	ill	ADV
fumecheng-10736	36	8	-	-	PUNCT
fumecheng-10736	36	9	posed	pose	VERB
fumecheng-10736	36	10	structural	structural	ADJ
fumecheng-10736	36	11	-	-	PUNCT
fumecheng-10736	36	12	mechanics	mechanic	NOUN
fumecheng-10736	36	13	problem	problem	NOUN
fumecheng-10736	36	14	(	(	PUNCT
fumecheng-10736	36	15	bounded	bounded	ADJ
fumecheng-10736	36	16	domain	domain	NOUN
fumecheng-10736	36	17	)	)	PUNCT
fumecheng-10736	36	18	arises	arise	VERB
fumecheng-10736	36	19	with	with	ADP
fumecheng-10736	36	20	adoption	adoption	NOUN
fumecheng-10736	36	21	of	of	ADP
fumecheng-10736	36	22	the	the	DET
fumecheng-10736	36	23	eringen	eringen	ADJ
fumecheng-10736	36	24	nonlocal	nonlocal	ADJ
fumecheng-10736	36	25	differential	differential	NOUN
fumecheng-10736	36	26	model	model	NOUN
fumecheng-10736	36	27	.	.	PUNCT
fumecheng-10736	37	1	furthermore	furthermore	ADV
fumecheng-10736	37	2	,	,	PUNCT
fumecheng-10736	37	3	koutsoumaris	koutsoumaris	PROPN
fumecheng-10736	37	4	et	et	PROPN
fumecheng-10736	37	5	al	al	PROPN
fumecheng-10736	37	6	.	.	PUNCT
fumecheng-10736	38	1	[	[	X
fumecheng-10736	38	2	44	44	NUM
fumecheng-10736	38	3	]	]	PUNCT
fumecheng-10736	38	4	demonstrated	demonstrate	VERB
fumecheng-10736	38	5	that	that	SCONJ
fumecheng-10736	38	6	the	the	DET
fumecheng-10736	38	7	eringen	eringen	ADJ
fumecheng-10736	38	8	nonlocal	nonlocal	ADJ
fumecheng-10736	38	9	differential	differential	NOUN
fumecheng-10736	38	10	model	model	NOUN
fumecheng-10736	38	11	does	do	AUX
fumecheng-10736	38	12	not	not	PART
fumecheng-10736	38	13	conform	conform	VERB
fumecheng-10736	38	14	to	to	ADP
fumecheng-10736	38	15	the	the	DET
fumecheng-10736	38	16	requirement	requirement	NOUN
fumecheng-10736	38	17	of	of	ADP
fumecheng-10736	38	18	the	the	DET
fumecheng-10736	38	19	quadratic	quadratic	ADJ
fumecheng-10736	38	20	energy	energy	NOUN
fumecheng-10736	38	21	functional	functional	ADJ
fumecheng-10736	38	22	form	form	NOUN
fumecheng-10736	38	23	of	of	ADP
fumecheng-10736	38	24	elasticity	elasticity	NOUN
fumecheng-10736	38	25	.	.	PUNCT
fumecheng-10736	39	1	to	to	PART
fumecheng-10736	39	2	obtain	obtain	VERB
fumecheng-10736	39	3	a	a	DET
fumecheng-10736	39	4	more	more	ADV
fumecheng-10736	39	5	rational	rational	ADJ
fumecheng-10736	39	6	small	small	ADJ
fumecheng-10736	39	7	-	-	PUNCT
fumecheng-10736	39	8	scale	scale	NOUN
fumecheng-10736	39	9	beam	beam	NOUN
fumecheng-10736	39	10	model	model	NOUN
fumecheng-10736	39	11	,	,	PUNCT
fumecheng-10736	39	12	the	the	DET
fumecheng-10736	39	13	strain	strain	NOUN
fumecheng-10736	39	14	-	-	PUNCT
fumecheng-10736	39	15	gradient	gradient	NOUN
fumecheng-10736	39	16	elasticity	elasticity	NOUN
fumecheng-10736	39	17	theory	theory	NOUN
fumecheng-10736	39	18	has	have	AUX
fumecheng-10736	39	19	been	be	AUX
fumecheng-10736	39	20	employed	employ	VERB
fumecheng-10736	39	21	as	as	ADP
fumecheng-10736	39	22	an	an	DET
fumecheng-10736	39	23	alternative	alternative	NOUN
fumecheng-10736	39	24	[	[	X
fumecheng-10736	39	25	38	38	NUM
fumecheng-10736	39	26	,	,	PUNCT
fumecheng-10736	39	27	45	45	NUM
fumecheng-10736	39	28	-	-	SYM
fumecheng-10736	39	29	49	49	NUM
fumecheng-10736	39	30	]	]	PUNCT
fumecheng-10736	39	31	.	.	PUNCT
fumecheng-10736	40	1	the	the	DET
fumecheng-10736	40	2	strain	strain	NOUN
fumecheng-10736	40	3	-	-	PUNCT
fumecheng-10736	40	4	gradient	gradient	NOUN
fumecheng-10736	40	5	elasticity	elasticity	NOUN
fumecheng-10736	40	6	theory	theory	NOUN
fumecheng-10736	40	7	was	be	AUX
fumecheng-10736	40	8	originally	originally	ADV
fumecheng-10736	40	9	invented	invent	VERB
fumecheng-10736	40	10	by	by	ADP
fumecheng-10736	40	11	mindlin	mindlin	PROPN
fumecheng-10736	41	1	[	[	X
fumecheng-10736	41	2	27	27	NUM
fumecheng-10736	41	3	-	-	SYM
fumecheng-10736	41	4	28	28	NUM
fumecheng-10736	41	5	]	]	PUNCT
fumecheng-10736	41	6	and	and	CCONJ
fumecheng-10736	41	7	possesses	possess	VERB
fumecheng-10736	41	8	three	three	NUM
fumecheng-10736	41	9	forms	form	NOUN
fumecheng-10736	41	10	,	,	PUNCT
fumecheng-10736	41	11	namely	namely	ADV
fumecheng-10736	41	12	:	:	PUNCT
fumecheng-10736	41	13	form	form	NOUN
fumecheng-10736	41	14	i	i	PRON
fumecheng-10736	41	15	,	,	PUNCT
fumecheng-10736	41	16	form	form	PROPN
fumecheng-10736	41	17	ii	ii	PROPN
fumecheng-10736	41	18	,	,	PUNCT
fumecheng-10736	41	19	and	and	CCONJ
fumecheng-10736	41	20	form	form	NOUN
fumecheng-10736	41	21	iii	iii	PROPN
fumecheng-10736	41	22	.	.	PUNCT
fumecheng-10736	42	1	the	the	DET
fumecheng-10736	42	2	difference	difference	NOUN
fumecheng-10736	42	3	among	among	ADP
fumecheng-10736	42	4	these	these	DET
fumecheng-10736	42	5	three	three	NUM
fumecheng-10736	42	6	rudimentary	rudimentary	ADJ
fumecheng-10736	42	7	forms	form	NOUN
fumecheng-10736	42	8	is	be	AUX
fumecheng-10736	42	9	their	their	PRON
fumecheng-10736	42	10	expressions	expression	NOUN
fumecheng-10736	42	11	of	of	ADP
fumecheng-10736	42	12	the	the	DET
fumecheng-10736	42	13	strain	strain	ADJ
fumecheng-10736	42	14	energy	energy	NOUN
fumecheng-10736	42	15	density	density	NOUN
fumecheng-10736	42	16	function	function	NOUN
fumecheng-10736	42	17	.	.	PUNCT
fumecheng-10736	43	1	form	form	NOUN
fumecheng-10736	43	2	i	i	PRON
fumecheng-10736	43	3	expresses	express	VERB
fumecheng-10736	43	4	the	the	DET
fumecheng-10736	43	5	strain	strain	ADJ
fumecheng-10736	43	6	energy	energy	NOUN
fumecheng-10736	43	7	density	density	NOUN
fumecheng-10736	43	8	function	function	NOUN
fumecheng-10736	43	9	in	in	ADP
fumecheng-10736	43	10	terms	term	NOUN
fumecheng-10736	43	11	of	of	ADP
fumecheng-10736	43	12	the	the	DET
fumecheng-10736	43	13	infinitesimal	infinitesimal	ADJ
fumecheng-10736	43	14	strain	strain	NOUN
fumecheng-10736	43	15	and	and	CCONJ
fumecheng-10736	43	16	the	the	DET
fumecheng-10736	43	17	second	second	ADJ
fumecheng-10736	43	18	displacement	displacement	ADJ
fumecheng-10736	43	19	gradient	gradient	NOUN
fumecheng-10736	43	20	;	;	PUNCT
fumecheng-10736	43	21	form	form	PROPN
fumecheng-10736	43	22	ii	ii	PROPN
fumecheng-10736	43	23	describes	describe	VERB
fumecheng-10736	43	24	the	the	DET
fumecheng-10736	43	25	strain	strain	ADJ
fumecheng-10736	43	26	energy	energy	NOUN
fumecheng-10736	43	27	density	density	NOUN
fumecheng-10736	43	28	function	function	NOUN
fumecheng-10736	43	29	in	in	ADP
fumecheng-10736	43	30	terms	term	NOUN
fumecheng-10736	43	31	of	of	ADP
fumecheng-10736	43	32	the	the	DET
fumecheng-10736	43	33	infinitesimal	infinitesimal	ADJ
fumecheng-10736	43	34	strain	strain	NOUN
fumecheng-10736	43	35	and	and	CCONJ
fumecheng-10736	43	36	the	the	DET
fumecheng-10736	43	37	first	first	ADJ
fumecheng-10736	43	38	strain	strain	NOUN
fumecheng-10736	43	39	gradient	gradient	NOUN
fumecheng-10736	43	40	;	;	PUNCT
fumecheng-10736	43	41	and	and	CCONJ
fumecheng-10736	43	42	form	form	NOUN
fumecheng-10736	43	43	iii	iii	NOUN
fumecheng-10736	43	44	represents	represent	VERB
fumecheng-10736	43	45	the	the	DET
fumecheng-10736	43	46	strain	strain	ADJ
fumecheng-10736	43	47	energy	energy	NOUN
fumecheng-10736	43	48	density	density	NOUN
fumecheng-10736	43	49	function	function	NOUN
fumecheng-10736	43	50	in	in	ADP
fumecheng-10736	43	51	terms	term	NOUN
fumecheng-10736	43	52	of	of	ADP
fumecheng-10736	43	53	the	the	DET
fumecheng-10736	43	54	infinitesimal	infinitesimal	ADJ
fumecheng-10736	43	55	strain	strain	NOUN
fumecheng-10736	43	56	,	,	PUNCT
fumecheng-10736	43	57	the	the	DET
fumecheng-10736	43	58	symmetric	symmetric	ADJ
fumecheng-10736	43	59	part	part	NOUN
fumecheng-10736	43	60	of	of	ADP
fumecheng-10736	43	61	the	the	DET
fumecheng-10736	43	62	second	second	ADJ
fumecheng-10736	43	63	displacement	displacement	ADJ
fumecheng-10736	43	64	gradient	gradient	NOUN
fumecheng-10736	43	65	;	;	PUNCT
fumecheng-10736	43	66	and	and	CCONJ
fumecheng-10736	43	67	the	the	DET
fumecheng-10736	43	68	rotation	rotation	NOUN
fumecheng-10736	43	69	gradient	gradient	NOUN
fumecheng-10736	43	70	(	(	PUNCT
fumecheng-10736	43	71	curvature	curvature	NOUN
fumecheng-10736	43	72	tensor	tensor	NOUN
fumecheng-10736	43	73	)	)	PUNCT
fumecheng-10736	43	74	.	.	PUNCT
fumecheng-10736	44	1	several	several	ADJ
fumecheng-10736	44	2	researchers	researcher	NOUN
fumecheng-10736	44	3	[	[	X
fumecheng-10736	44	4	5	5	NUM
fumecheng-10736	44	5	,	,	PUNCT
fumecheng-10736	44	6	30	30	NUM
fumecheng-10736	44	7	,	,	PUNCT
fumecheng-10736	44	8	38	38	NUM
fumecheng-10736	44	9	,	,	PUNCT
fumecheng-10736	44	10	50	50	NUM
fumecheng-10736	44	11	-	-	SYM
fumecheng-10736	44	12	54	54	NUM
fumecheng-10736	44	13	]	]	PUNCT
fumecheng-10736	44	14	have	have	AUX
fumecheng-10736	44	15	formulated	formulate	VERB
fumecheng-10736	44	16	their	their	PRON
fumecheng-10736	44	17	own	own	ADJ
fumecheng-10736	44	18	strain	strain	NOUN
fumecheng-10736	44	19	-	-	PUNCT
fumecheng-10736	44	20	gradient	gradient	NOUN
fumecheng-10736	44	21	elasticity	elasticity	NOUN
fumecheng-10736	44	22	models	model	NOUN
fumecheng-10736	44	23	based	base	VERB
fumecheng-10736	44	24	on	on	ADP
fumecheng-10736	44	25	these	these	DET
fumecheng-10736	44	26	three	three	NUM
fumecheng-10736	44	27	forms	form	NOUN
fumecheng-10736	44	28	(	(	PUNCT
fumecheng-10736	44	29	form	form	NOUN
fumecheng-10736	44	30	i	i	PRON
fumecheng-10736	44	31	,	,	PUNCT
fumecheng-10736	44	32	form	form	PROPN
fumecheng-10736	44	33	ii	ii	PROPN
fumecheng-10736	44	34	,	,	PUNCT
fumecheng-10736	44	35	and	and	CCONJ
fumecheng-10736	44	36	form	form	NOUN
fumecheng-10736	44	37	iii	iii	NUM
fumecheng-10736	44	38	)	)	PUNCT
fumecheng-10736	44	39	.	.	PUNCT
fumecheng-10736	45	1	as	as	ADP
fumecheng-10736	45	2	the	the	DET
fumecheng-10736	45	3	simplest	simple	ADJ
fumecheng-10736	45	4	variant	variant	NOUN
fumecheng-10736	45	5	of	of	ADP
fumecheng-10736	45	6	the	the	DET
fumecheng-10736	45	7	strain	strain	NOUN
fumecheng-10736	45	8	-	-	PUNCT
fumecheng-10736	45	9	gradient	gradient	NOUN
fumecheng-10736	45	10	elasticity	elasticity	NOUN
fumecheng-10736	45	11	theory	theory	NOUN
fumecheng-10736	45	12	,	,	PUNCT
fumecheng-10736	45	13	the	the	DET
fumecheng-10736	45	14	simplified	simplified	ADJ
fumecheng-10736	45	15	strain	strain	NOUN
fumecheng-10736	45	16	-	-	PUNCT
fumecheng-10736	45	17	gradient	gradient	NOUN
fumecheng-10736	45	18	elasticity	elasticity	NOUN
fumecheng-10736	45	19	theory	theory	NOUN
fumecheng-10736	45	20	of	of	ADP
fumecheng-10736	45	21	altan	altan	PROPN
fumecheng-10736	45	22	and	and	CCONJ
fumecheng-10736	45	23	aifantis	aifantis	PROPN
fumecheng-10736	46	1	[	[	X
fumecheng-10736	46	2	51	51	NUM
fumecheng-10736	46	3	]	]	PUNCT
fumecheng-10736	46	4	is	be	AUX
fumecheng-10736	46	5	constructed	construct	VERB
fumecheng-10736	46	6	based	base	VERB
fumecheng-10736	46	7	on	on	ADP
fumecheng-10736	46	8	form	form	NOUN
fumecheng-10736	46	9	ii	ii	PROPN
fumecheng-10736	46	10	but	but	CCONJ
fumecheng-10736	46	11	can	can	AUX
fumecheng-10736	46	12	account	account	VERB
fumecheng-10736	46	13	only	only	ADV
fumecheng-10736	46	14	for	for	ADP
fumecheng-10736	46	15	the	the	DET
fumecheng-10736	46	16	strain	strain	NOUN
fumecheng-10736	46	17	gradient	gradient	NOUN
fumecheng-10736	46	18	along	along	ADP
fumecheng-10736	46	19	the	the	DET
fumecheng-10736	46	20	longitudinal	longitudinal	ADJ
fumecheng-10736	46	21	direction	direction	NOUN
fumecheng-10736	46	22	.	.	PUNCT
fumecheng-10736	47	1	to	to	PART
fumecheng-10736	47	2	obtain	obtain	VERB
fumecheng-10736	47	3	a	a	DET
fumecheng-10736	47	4	more	more	ADV
fumecheng-10736	47	5	refined	refined	ADJ
fumecheng-10736	47	6	variant	variant	NOUN
fumecheng-10736	47	7	of	of	ADP
fumecheng-10736	47	8	the	the	DET
fumecheng-10736	47	9	strain	strain	NOUN
fumecheng-10736	47	10	-	-	PUNCT
fumecheng-10736	47	11	gradient	gradient	NOUN
fumecheng-10736	47	12	elasticity	elasticity	NOUN
fumecheng-10736	47	13	theory	theory	NOUN
fumecheng-10736	47	14	,	,	PUNCT
fumecheng-10736	47	15	the	the	DET
fumecheng-10736	47	16	modified	modify	VERB
fumecheng-10736	47	17	strain	strain	NOUN
fumecheng-10736	47	18	-	-	PUNCT
fumecheng-10736	47	19	gradient	gradient	NOUN
fumecheng-10736	47	20	elasticity	elasticity	NOUN
fumecheng-10736	47	21	theory	theory	NOUN
fumecheng-10736	47	22	of	of	ADP
fumecheng-10736	47	23	lam	lam	PROPN
fumecheng-10736	47	24	et	et	PROPN
fumecheng-10736	47	25	al	al	PROPN
fumecheng-10736	47	26	.	.	PUNCT
fumecheng-10736	48	1	[	[	X
fumecheng-10736	48	2	5	5	NUM
fumecheng-10736	48	3	]	]	PUNCT
fumecheng-10736	48	4	is	be	AUX
fumecheng-10736	48	5	formulated	formulate	VERB
fumecheng-10736	48	6	based	base	VERB
fumecheng-10736	48	7	on	on	ADP
fumecheng-10736	48	8	either	either	DET
fumecheng-10736	48	9	form	form	VERB
fumecheng-10736	48	10	i	i	PRON
fumecheng-10736	48	11	or	or	CCONJ
fumecheng-10736	48	12	form	form	VERB
fumecheng-10736	48	13	iii	iii	NUM
fumecheng-10736	48	14	and	and	CCONJ
fumecheng-10736	48	15	contains	contain	VERB
fumecheng-10736	48	16	three	three	NUM
fumecheng-10736	48	17	material	material	NOUN
fumecheng-10736	48	18	length	length	NOUN
fumecheng-10736	48	19	-	-	PUNCT
fumecheng-10736	48	20	scale	scale	NOUN
fumecheng-10736	48	21	parameters	parameter	NOUN
fumecheng-10736	48	22	associated	associate	VERB
fumecheng-10736	48	23	with	with	ADP
fumecheng-10736	48	24	three	three	NUM
fumecheng-10736	48	25	strain	strain	ADJ
fumecheng-10736	48	26	-	-	PUNCT
fumecheng-10736	48	27	gradient	gradient	NOUN
fumecheng-10736	48	28	measures	measure	NOUN
fumecheng-10736	48	29	,	,	PUNCT
fumecheng-10736	48	30	namely	namely	ADV
fumecheng-10736	48	31	:	:	PUNCT
fumecheng-10736	48	32	the	the	DET
fumecheng-10736	48	33	dilatation	dilatation	NOUN
fumecheng-10736	48	34	gradient	gradient	NOUN
fumecheng-10736	48	35	,	,	PUNCT
fumecheng-10736	48	36	the	the	DET
fumecheng-10736	48	37	deviatoric	deviatoric	ADJ
fumecheng-10736	48	38	stretch	stretch	NOUN
fumecheng-10736	48	39	gradient	gradient	NOUN
fumecheng-10736	48	40	,	,	PUNCT
fumecheng-10736	48	41	and	and	CCONJ
fumecheng-10736	48	42	the	the	DET
fumecheng-10736	48	43	symmetric	symmetric	ADJ
fumecheng-10736	48	44	rotation	rotation	NOUN
fumecheng-10736	48	45	gradient	gradient	NOUN
fumecheng-10736	48	46	.	.	PUNCT
fumecheng-10736	49	1	a	a	DET
fumecheng-10736	49	2	thorough	thorough	ADJ
fumecheng-10736	49	3	study	study	NOUN
fumecheng-10736	49	4	by	by	ADP
fumecheng-10736	49	5	papargyri	papargyri	PROPN
fumecheng-10736	49	6	-	-	PUNCT
fumecheng-10736	49	7	beskou	beskou	PROPN
fumecheng-10736	49	8	et	et	NOUN
fumecheng-10736	49	9	al	al	PROPN
fumecheng-10736	49	10	.	.	PUNCT
fumecheng-10736	50	1	[	[	X
fumecheng-10736	50	2	55	55	NUM
fumecheng-10736	50	3	]	]	PUNCT
fumecheng-10736	50	4	has	have	AUX
fumecheng-10736	50	5	shown	show	VERB
fumecheng-10736	50	6	the	the	DET
fumecheng-10736	50	7	essence	essence	NOUN
fumecheng-10736	50	8	of	of	ADP
fumecheng-10736	50	9	the	the	DET
fumecheng-10736	50	10	velocity	velocity	NOUN
fumecheng-10736	50	11	gradient	gradient	NOUN
fumecheng-10736	50	12	on	on	ADP
fumecheng-10736	50	13	wave	wave	NOUN
fumecheng-10736	50	14	dispersion	dispersion	NOUN
fumecheng-10736	50	15	in	in	ADP
fumecheng-10736	50	16	gradient	gradient	ADJ
fumecheng-10736	50	17	elastic	elastic	ADJ
fumecheng-10736	50	18	solids	solid	NOUN
fumecheng-10736	50	19	and	and	CCONJ
fumecheng-10736	50	20	structures	structure	NOUN
fumecheng-10736	50	21	.	.	PUNCT
fumecheng-10736	51	1	however	however	ADV
fumecheng-10736	51	2	,	,	PUNCT
fumecheng-10736	51	3	the	the	DET
fumecheng-10736	51	4	modified	modify	VERB
fumecheng-10736	51	5	strain	strain	NOUN
fumecheng-10736	51	6	-	-	PUNCT
fumecheng-10736	51	7	gradient	gradient	NOUN
fumecheng-10736	51	8	elasticity	elasticity	NOUN
fumecheng-10736	51	9	theory	theory	NOUN
fumecheng-10736	51	10	of	of	ADP
fumecheng-10736	51	11	lam	lam	PROPN
fumecheng-10736	51	12	et	et	PROPN
fumecheng-10736	51	13	al	al	PROPN
fumecheng-10736	51	14	.	.	PUNCT
fumecheng-10736	52	1	[	[	X
fumecheng-10736	52	2	5	5	X
fumecheng-10736	52	3	]	]	PUNCT
fumecheng-10736	52	4	lacks	lack	VERB
fumecheng-10736	52	5	the	the	DET
fumecheng-10736	52	6	material	material	NOUN
fumecheng-10736	52	7	length	length	NOUN
fumecheng-10736	52	8	-	-	PUNCT
fumecheng-10736	52	9	scale	scale	NOUN
fumecheng-10736	52	10	parameter	parameter	NOUN
fumecheng-10736	52	11	associated	associate	VERB
fumecheng-10736	52	12	with	with	ADP
fumecheng-10736	52	13	the	the	DET
fumecheng-10736	52	14	velocity	velocity	NOUN
fumecheng-10736	52	15	gradient	gradient	NOUN
fumecheng-10736	52	16	.	.	PUNCT
fumecheng-10736	53	1	therefore	therefore	ADV
fumecheng-10736	53	2	,	,	PUNCT
fumecheng-10736	53	3	a	a	DET
fumecheng-10736	53	4	more	more	ADV
fumecheng-10736	53	5	versatile	versatile	ADJ
fumecheng-10736	53	6	strain	strain	NOUN
fumecheng-10736	53	7	-	-	PUNCT
fumecheng-10736	53	8	gradient	gradient	NOUN
fumecheng-10736	53	9	elasticity	elasticity	NOUN
fumecheng-10736	53	10	theory	theory	NOUN
fumecheng-10736	53	11	is	be	AUX
fumecheng-10736	53	12	required	require	VERB
fumecheng-10736	53	13	to	to	PART
fumecheng-10736	53	14	construct	construct	VERB
fumecheng-10736	53	15	a	a	DET
fumecheng-10736	53	16	mathematical	mathematical	ADJ
fumecheng-10736	53	17	tool	tool	NOUN
fumecheng-10736	53	18	for	for	ADP
fumecheng-10736	53	19	static	static	ADJ
fumecheng-10736	53	20	and	and	CCONJ
fumecheng-10736	53	21	dynamic	dynamic	ADJ
fumecheng-10736	53	22	analyses	analysis	NOUN
fumecheng-10736	53	23	of	of	ADP
fumecheng-10736	53	24	nano	nano	NOUN
fumecheng-10736	53	25	-	-	PUNCT
fumecheng-10736	53	26	sized	sized	ADJ
fumecheng-10736	53	27	structures	structure	NOUN
fumecheng-10736	53	28	.	.	PUNCT
fumecheng-10736	54	1	recently	recently	ADV
fumecheng-10736	54	2	,	,	PUNCT
fumecheng-10736	54	3	zhang	zhang	PROPN
fumecheng-10736	54	4	and	and	CCONJ
fumecheng-10736	54	5	guo	guo	PROPN
fumecheng-10736	54	6	[	[	X
fumecheng-10736	54	7	30	30	NUM
fumecheng-10736	54	8	]	]	PUNCT
fumecheng-10736	54	9	has	have	AUX
fumecheng-10736	54	10	proposed	propose	VERB
fumecheng-10736	54	11	the	the	DET
fumecheng-10736	54	12	reformulated	reformulate	VERB
fumecheng-10736	54	13	strain	strain	NOUN
fumecheng-10736	54	14	-	-	PUNCT
fumecheng-10736	54	15	gradient	gradient	NOUN
fumecheng-10736	54	16	elasticity	elasticity	NOUN
fumecheng-10736	54	17	theory	theory	NOUN
fumecheng-10736	54	18	based	base	VERB
fumecheng-10736	54	19	on	on	ADP
fumecheng-10736	54	20	form	form	NOUN
fumecheng-10736	54	21	i.	i.	NOUN
fumecheng-10736	54	22	strain	strain	NOUN
fumecheng-10736	54	23	-	-	PUNCT
fumecheng-10736	54	24	gradient	gradient	NOUN
fumecheng-10736	54	25	measures	measure	NOUN
fumecheng-10736	54	26	as	as	ADV
fumecheng-10736	54	27	well	well	ADV
fumecheng-10736	54	28	as	as	ADP
fumecheng-10736	54	29	velocity	velocity	NOUN
fumecheng-10736	54	30	gradient	gradient	NOUN
fumecheng-10736	54	31	are	be	AUX
fumecheng-10736	54	32	both	both	PRON
fumecheng-10736	54	33	considered	consider	VERB
fumecheng-10736	54	34	in	in	ADP
fumecheng-10736	54	35	this	this	DET
fumecheng-10736	54	36	strain	strain	NOUN
fumecheng-10736	54	37	-	-	PUNCT
fumecheng-10736	54	38	gradient	gradient	NOUN
fumecheng-10736	54	39	-	-	PUNCT
fumecheng-10736	54	40	type	type	NOUN
fumecheng-10736	54	41	theory	theory	NOUN
fumecheng-10736	54	42	.	.	PUNCT
fumecheng-10736	55	1	consequently	consequently	ADV
fumecheng-10736	55	2	,	,	PUNCT
fumecheng-10736	55	3	the	the	DET
fumecheng-10736	55	4	reformulated	reformulate	VERB
fumecheng-10736	55	5	strain	strain	NOUN
fumecheng-10736	55	6	-	-	PUNCT
fumecheng-10736	55	7	gradient	gradient	NOUN
fumecheng-10736	55	8	elasticity	elasticity	NOUN
fumecheng-10736	55	9	theory	theory	NOUN
fumecheng-10736	55	10	is	be	AUX
fumecheng-10736	55	11	preferable	preferable	ADJ
fumecheng-10736	55	12	to	to	ADP
fumecheng-10736	55	13	the	the	DET
fumecheng-10736	55	14	narrowness	narrowness	NOUN
fumecheng-10736	55	15	of	of	ADP
fumecheng-10736	55	16	the	the	DET
fumecheng-10736	55	17	research	research	NOUN
fumecheng-10736	55	18	gap	gap	NOUN
fumecheng-10736	55	19	and	and	CCONJ
fumecheng-10736	55	20	is	be	AUX
fumecheng-10736	55	21	adopted	adopt	VERB
fumecheng-10736	55	22	in	in	ADP
fumecheng-10736	55	23	the	the	DET
fumecheng-10736	55	24	present	present	ADJ
fumecheng-10736	55	25	work	work	NOUN
fumecheng-10736	55	26	.	.	PUNCT
fumecheng-10736	56	1	in	in	ADP
fumecheng-10736	56	2	addition	addition	NOUN
fumecheng-10736	56	3	to	to	ADP
fumecheng-10736	56	4	the	the	DET
fumecheng-10736	56	5	material	material	ADJ
fumecheng-10736	56	6	small	small	ADJ
fumecheng-10736	56	7	-	-	PUNCT
fumecheng-10736	56	8	scale	scale	NOUN
fumecheng-10736	56	9	effect	effect	NOUN
fumecheng-10736	56	10	,	,	PUNCT
fumecheng-10736	56	11	the	the	DET
fumecheng-10736	56	12	size	size	NOUN
fumecheng-10736	56	13	dependency	dependency	NOUN
fumecheng-10736	56	14	invoked	invoke	VERB
fumecheng-10736	56	15	by	by	ADP
fumecheng-10736	56	16	the	the	DET
fumecheng-10736	56	17	surface	surface	NOUN
fumecheng-10736	56	18	-	-	PUNCT
fumecheng-10736	56	19	energy	energy	NOUN
fumecheng-10736	56	20	effect	effect	NOUN
fumecheng-10736	56	21	is	be	AUX
fumecheng-10736	56	22	crucial	crucial	ADJ
fumecheng-10736	56	23	when	when	SCONJ
fumecheng-10736	56	24	the	the	DET
fumecheng-10736	56	25	structural	structural	ADJ
fumecheng-10736	56	26	dimension	dimension	NOUN
fumecheng-10736	56	27	approaches	approach	VERB
fumecheng-10736	56	28	the	the	DET
fumecheng-10736	56	29	range	range	NOUN
fumecheng-10736	56	30	of	of	ADP
fumecheng-10736	56	31	nanometer	nanometer	NOUN
fumecheng-10736	56	32	[	[	X
fumecheng-10736	56	33	36	36	NUM
fumecheng-10736	56	34	,	,	PUNCT
fumecheng-10736	56	35	38	38	NUM
fumecheng-10736	56	36	,	,	PUNCT
fumecheng-10736	56	37	56	56	NUM
fumecheng-10736	56	38	-	-	SYM
fumecheng-10736	56	39	59	59	NUM
fumecheng-10736	56	40	]	]	PUNCT
fumecheng-10736	56	41	.	.	PUNCT
fumecheng-10736	57	1	to	to	PART
fumecheng-10736	57	2	incorporate	incorporate	VERB
fumecheng-10736	57	3	the	the	DET
fumecheng-10736	57	4	surface	surface	NOUN
fumecheng-10736	57	5	-	-	PUNCT
fumecheng-10736	57	6	energy	energy	NOUN
fumecheng-10736	57	7	effect	effect	NOUN
fumecheng-10736	57	8	into	into	ADP
fumecheng-10736	57	9	a	a	DET
fumecheng-10736	57	10	conventional	conventional	ADJ
fumecheng-10736	57	11	structural	structural	ADJ
fumecheng-10736	57	12	-	-	PUNCT
fumecheng-10736	57	13	mechanics	mechanic	NOUN
fumecheng-10736	57	14	model	model	NOUN
fumecheng-10736	57	15	,	,	PUNCT
fumecheng-10736	57	16	the	the	DET
fumecheng-10736	57	17	surface	surface	NOUN
fumecheng-10736	57	18	elasticity	elasticity	NOUN
fumecheng-10736	57	19	theory	theory	NOUN
fumecheng-10736	57	20	proposed	propose	VERB
fumecheng-10736	57	21	by	by	ADP
fumecheng-10736	57	22	gurtin	gurtin	NOUN
fumecheng-10736	57	23	and	and	CCONJ
fumecheng-10736	57	24	murdoch	murdoch	PROPN
fumecheng-10736	58	1	[	[	X
fumecheng-10736	58	2	32	32	NUM
fumecheng-10736	58	3	-	-	SYM
fumecheng-10736	58	4	33	33	NUM
fumecheng-10736	58	5	]	]	PUNCT
fumecheng-10736	58	6	has	have	AUX
fumecheng-10736	58	7	been	be	AUX
fumecheng-10736	58	8	widely	widely	ADV
fumecheng-10736	58	9	employed	employ	VERB
fumecheng-10736	58	10	.	.	PUNCT
fumecheng-10736	59	1	in	in	ADP
fumecheng-10736	59	2	the	the	DET
fumecheng-10736	59	3	gurtin	gurtin	NOUN
fumecheng-10736	59	4	-	-	PUNCT
fumecheng-10736	59	5	murdoch	murdoch	PROPN
fumecheng-10736	59	6	surface	surface	PROPN
fumecheng-10736	59	7	elasticity	elasticity	PROPN
fumecheng-10736	59	8	theory	theory	NOUN
fumecheng-10736	59	9	,	,	PUNCT
fumecheng-10736	59	10	the	the	DET
fumecheng-10736	59	11	surface	surface	NOUN
fumecheng-10736	59	12	elastic	elastic	ADJ
fumecheng-10736	59	13	layer	layer	NOUN
fumecheng-10736	59	14	is	be	AUX
fumecheng-10736	59	15	assumed	assume	VERB
fumecheng-10736	59	16	to	to	PART
fumecheng-10736	59	17	be	be	AUX
fumecheng-10736	59	18	a	a	DET
fumecheng-10736	59	19	zero	zero	NUM
fumecheng-10736	59	20	-	-	PUNCT
fumecheng-10736	59	21	thickness	thickness	NOUN
fumecheng-10736	59	22	membrane	membrane	NOUN
fumecheng-10736	59	23	perfectly	perfectly	ADV
fumecheng-10736	59	24	bonded	bond	VERB
fumecheng-10736	59	25	to	to	ADP
fumecheng-10736	59	26	its	its	PRON
fumecheng-10736	59	27	wrapped	wrap	VERB
fumecheng-10736	59	28	bulk	bulk	ADJ
fumecheng-10736	59	29	material	material	NOUN
fumecheng-10736	59	30	.	.	PUNCT
fumecheng-10736	60	1	due	due	ADP
fumecheng-10736	60	2	to	to	ADP
fumecheng-10736	60	3	the	the	DET
fumecheng-10736	60	4	good	good	ADJ
fumecheng-10736	60	5	compromise	compromise	NOUN
fumecheng-10736	60	6	between	between	ADP
fumecheng-10736	60	7	model	model	NOUN
fumecheng-10736	60	8	accuracy	accuracy	NOUN
fumecheng-10736	60	9	and	and	CCONJ
fumecheng-10736	60	10	simplicity	simplicity	NOUN
fumecheng-10736	60	11	,	,	PUNCT
fumecheng-10736	60	12	several	several	ADJ
fumecheng-10736	60	13	structural	structural	ADJ
fumecheng-10736	60	14	-	-	PUNCT
fumecheng-10736	60	15	mechanics	mechanic	NOUN
fumecheng-10736	60	16	models	model	NOUN
fumecheng-10736	60	17	have	have	AUX
fumecheng-10736	60	18	been	be	AUX
fumecheng-10736	60	19	armed	arm	VERB
fumecheng-10736	60	20	with	with	ADP
fumecheng-10736	60	21	the	the	DET
fumecheng-10736	60	22	ability	ability	NOUN
fumecheng-10736	60	23	to	to	PART
fumecheng-10736	60	24	account	account	VERB
fumecheng-10736	60	25	for	for	ADP
fumecheng-10736	60	26	the	the	DET
fumecheng-10736	60	27	size	size	NOUN
fumecheng-10736	60	28	dependency	dependency	NOUN
fumecheng-10736	60	29	using	use	VERB
fumecheng-10736	60	30	the	the	DET
fumecheng-10736	60	31	gurtin	gurtin	NOUN
fumecheng-10736	60	32	-	-	PUNCT
fumecheng-10736	60	33	murdoch	murdoch	PROPN
fumecheng-10736	60	34	surface	surface	PROPN
fumecheng-10736	60	35	elasticity	elasticity	PROPN
fumecheng-10736	60	36	theory	theory	NOUN
fumecheng-10736	60	37	[	[	X
fumecheng-10736	60	38	11	11	NUM
fumecheng-10736	60	39	,	,	PUNCT
fumecheng-10736	60	40	36	36	NUM
fumecheng-10736	60	41	,	,	PUNCT
fumecheng-10736	60	42	38	38	NUM
fumecheng-10736	60	43	,	,	PUNCT
fumecheng-10736	60	44	57	57	NUM
fumecheng-10736	60	45	-	-	SYM
fumecheng-10736	60	46	62	62	NUM
fumecheng-10736	60	47	]	]	PUNCT
fumecheng-10736	60	48	.	.	PUNCT
fumecheng-10736	61	1	as	as	ADP
fumecheng-10736	61	2	a	a	DET
fumecheng-10736	61	3	result	result	NOUN
fumecheng-10736	61	4	,	,	PUNCT
fumecheng-10736	61	5	the	the	DET
fumecheng-10736	61	6	present	present	ADJ
fumecheng-10736	61	7	work	work	NOUN
fumecheng-10736	61	8	adopts	adopt	VERB
fumecheng-10736	61	9	the	the	DET
fumecheng-10736	61	10	gurtin	gurtin	NOUN
fumecheng-10736	61	11	-	-	PUNCT
fumecheng-10736	61	12	murdoch	murdoch	PROPN
fumecheng-10736	61	13	surface	surface	PROPN
fumecheng-10736	61	14	elasticity	elasticity	PROPN
fumecheng-10736	61	15	theory	theory	NOUN
fumecheng-10736	61	16	to	to	PART
fumecheng-10736	61	17	represent	represent	VERB
fumecheng-10736	61	18	the	the	DET
fumecheng-10736	61	19	size	size	NOUN
fumecheng-10736	61	20	dependency	dependency	NOUN
fumecheng-10736	61	21	induced	induce	VERB
fumecheng-10736	61	22	by	by	ADP
fumecheng-10736	61	23	the	the	DET
fumecheng-10736	61	24	surface	surface	NOUN
fumecheng-10736	61	25	-	-	PUNCT
fumecheng-10736	61	26	energy	energy	NOUN
fumecheng-10736	61	27	effect	effect	NOUN
fumecheng-10736	61	28	.	.	PUNCT
fumecheng-10736	62	1	the	the	DET
fumecheng-10736	62	2	concept	concept	NOUN
fumecheng-10736	62	3	of	of	ADP
fumecheng-10736	62	4	a	a	DET
fumecheng-10736	62	5	beam	beam	NOUN
fumecheng-10736	62	6	on	on	ADP
fumecheng-10736	62	7	elastic	elastic	ADJ
fumecheng-10736	62	8	foundation	foundation	NOUN
fumecheng-10736	62	9	has	have	AUX
fumecheng-10736	62	10	found	find	VERB
fumecheng-10736	62	11	a	a	DET
fumecheng-10736	62	12	wide	wide	ADJ
fumecheng-10736	62	13	spectrum	spectrum	NOUN
fumecheng-10736	62	14	of	of	ADP
fumecheng-10736	62	15	applications	application	NOUN
fumecheng-10736	62	16	in	in	ADP
fumecheng-10736	62	17	nanoengineering	nanoengineering	NOUN
fumecheng-10736	62	18	and	and	CCONJ
fumecheng-10736	62	19	nanoscience	nanoscience	NOUN
fumecheng-10736	63	1	[	[	X
fumecheng-10736	63	2	21	21	NUM
fumecheng-10736	63	3	-	-	SYM
fumecheng-10736	63	4	24	24	NUM
fumecheng-10736	63	5	]	]	PUNCT
fumecheng-10736	63	6	.	.	PUNCT
fumecheng-10736	64	1	due	due	ADP
fumecheng-10736	64	2	to	to	ADP
fumecheng-10736	64	3	its	its	PRON
fumecheng-10736	64	4	good	good	ADJ
fumecheng-10736	64	5	compromise	compromise	NOUN
fumecheng-10736	64	6	between	between	ADP
fumecheng-10736	64	7	model	model	NOUN
fumecheng-10736	64	8	accuracy	accuracy	NOUN
fumecheng-10736	64	9	and	and	CCONJ
fumecheng-10736	64	10	simplicity	simplicity	NOUN
fumecheng-10736	64	11	,	,	PUNCT
fumecheng-10736	64	12	the	the	DET
fumecheng-10736	64	13	winkler	winkler	PROPN
fumecheng-10736	64	14	foundation	foundation	PROPN
fumecheng-10736	64	15	model	model	NOUN
fumecheng-10736	64	16	is	be	AUX
fumecheng-10736	64	17	the	the	DET
fumecheng-10736	64	18	most	most	ADV
fumecheng-10736	64	19	widely	widely	ADV
fumecheng-10736	64	20	employed	employ	VERB
fumecheng-10736	64	21	foundation	foundation	NOUN
fumecheng-10736	64	22	model	model	NOUN
fumecheng-10736	64	23	to	to	PART
fumecheng-10736	64	24	account	account	VERB
fumecheng-10736	64	25	for	for	ADP
fumecheng-10736	64	26	the	the	DET
fumecheng-10736	64	27	interactive	interactive	ADJ
fumecheng-10736	64	28	mechanism	mechanism	NOUN
fumecheng-10736	64	29	between	between	ADP
fumecheng-10736	64	30	nanobeams	nanobeam	NOUN
fumecheng-10736	64	31	and	and	CCONJ
fumecheng-10736	64	32	their	their	PRON
fumecheng-10736	64	33	564	564	NUM
fumecheng-10736	64	34	s.	s.	PROPN
fumecheng-10736	64	35	limkatanyu	limkatanyu	PROPN
fumecheng-10736	64	36	,	,	PUNCT
fumecheng-10736	64	37	w.	w.	PROPN
fumecheng-10736	64	38	sae	sae	PROPN
fumecheng-10736	64	39	-	-	PROPN
fumecheng-10736	64	40	long	long	ADV
fumecheng-10736	64	41	,	,	PUNCT
fumecheng-10736	64	42	j.	j.	PROPN
fumecheng-10736	64	43	rungamornrat	rungamornrat	PROPN
fumecheng-10736	64	44	,	,	PUNCT
fumecheng-10736	64	45	et	et	PROPN
fumecheng-10736	64	46	al	al	PROPN
fumecheng-10736	64	47	.	.	PUNCT
fumecheng-10736	65	1	underlying	underlie	VERB
fumecheng-10736	65	2	substrate	substrate	NOUN
fumecheng-10736	65	3	media	medium	NOUN
fumecheng-10736	65	4	[	[	X
fumecheng-10736	65	5	9	9	NUM
fumecheng-10736	65	6	,	,	PUNCT
fumecheng-10736	65	7	38	38	NUM
fumecheng-10736	65	8	,	,	PUNCT
fumecheng-10736	65	9	59	59	NUM
fumecheng-10736	65	10	,	,	PUNCT
fumecheng-10736	65	11	63	63	NUM
fumecheng-10736	65	12	]	]	PUNCT
fumecheng-10736	65	13	.	.	PUNCT
fumecheng-10736	66	1	during	during	ADP
fumecheng-10736	66	2	the	the	DET
fumecheng-10736	66	3	last	last	ADJ
fumecheng-10736	66	4	decade	decade	NOUN
fumecheng-10736	66	5	,	,	PUNCT
fumecheng-10736	66	6	several	several	ADJ
fumecheng-10736	66	7	nanobeamsubstrate	nanobeamsubstrate	ADJ
fumecheng-10736	66	8	medium	medium	NOUN
fumecheng-10736	66	9	models	model	NOUN
fumecheng-10736	66	10	have	have	AUX
fumecheng-10736	66	11	been	be	AUX
fumecheng-10736	66	12	proposed	propose	VERB
fumecheng-10736	66	13	in	in	ADP
fumecheng-10736	66	14	the	the	DET
fumecheng-10736	66	15	research	research	NOUN
fumecheng-10736	66	16	community	community	NOUN
fumecheng-10736	66	17	to	to	PART
fumecheng-10736	66	18	characterize	characterize	VERB
fumecheng-10736	66	19	the	the	DET
fumecheng-10736	66	20	nanobeam	nanobeam	ADJ
fumecheng-10736	66	21	-	-	PUNCT
fumecheng-10736	66	22	substrate	substrate	NOUN
fumecheng-10736	66	23	medium	medium	NOUN
fumecheng-10736	66	24	system	system	NOUN
fumecheng-10736	66	25	[	[	X
fumecheng-10736	66	26	64	64	NUM
fumecheng-10736	66	27	-	-	SYM
fumecheng-10736	66	28	68	68	NUM
fumecheng-10736	66	29	]	]	PUNCT
fumecheng-10736	66	30	.	.	PUNCT
fumecheng-10736	67	1	for	for	ADP
fumecheng-10736	67	2	example	example	NOUN
fumecheng-10736	67	3	,	,	PUNCT
fumecheng-10736	67	4	azizi	azizi	PROPN
fumecheng-10736	67	5	et	et	PROPN
fumecheng-10736	67	6	al	al	PROPN
fumecheng-10736	67	7	.	.	PUNCT
fumecheng-10736	68	1	[	[	X
fumecheng-10736	68	2	64	64	NUM
fumecheng-10736	68	3	]	]	PUNCT
fumecheng-10736	68	4	assessed	assess	VERB
fumecheng-10736	68	5	the	the	DET
fumecheng-10736	68	6	influence	influence	NOUN
fumecheng-10736	68	7	of	of	ADP
fumecheng-10736	68	8	the	the	DET
fumecheng-10736	68	9	surface	surface	NOUN
fumecheng-10736	68	10	-	-	PUNCT
fumecheng-10736	68	11	free	free	ADJ
fumecheng-10736	68	12	energy	energy	NOUN
fumecheng-10736	68	13	on	on	ADP
fumecheng-10736	68	14	the	the	DET
fumecheng-10736	68	15	nonlinear	nonlinear	ADJ
fumecheng-10736	68	16	vibration	vibration	NOUN
fumecheng-10736	68	17	characteristics	characteristic	NOUN
fumecheng-10736	68	18	of	of	ADP
fumecheng-10736	68	19	the	the	DET
fumecheng-10736	68	20	simply	simply	ADV
fumecheng-10736	68	21	-	-	PUNCT
fumecheng-10736	68	22	supported	support	VERB
fumecheng-10736	68	23	nanobeam	nanobeam	ADJ
fumecheng-10736	68	24	-	-	PUNCT
fumecheng-10736	68	25	substrate	substrate	NOUN
fumecheng-10736	68	26	medium	medium	NOUN
fumecheng-10736	68	27	system	system	NOUN
fumecheng-10736	68	28	;	;	PUNCT
fumecheng-10736	68	29	niknam	niknam	NOUN
fumecheng-10736	68	30	and	and	CCONJ
fumecheng-10736	68	31	aghdam	aghdam	NOUN
fumecheng-10736	68	32	[	[	X
fumecheng-10736	68	33	65	65	NUM
fumecheng-10736	68	34	]	]	PUNCT
fumecheng-10736	68	35	derived	derive	VERB
fumecheng-10736	68	36	the	the	DET
fumecheng-10736	68	37	analytical	analytical	ADJ
fumecheng-10736	68	38	solution	solution	NOUN
fumecheng-10736	68	39	for	for	ADP
fumecheng-10736	68	40	buckling	buckling	NOUN
fumecheng-10736	68	41	and	and	CCONJ
fumecheng-10736	68	42	vibration	vibration	NOUN
fumecheng-10736	68	43	analyses	analysis	NOUN
fumecheng-10736	68	44	of	of	ADP
fumecheng-10736	68	45	the	the	DET
fumecheng-10736	68	46	nonlocal	nonlocal	ADJ
fumecheng-10736	68	47	functionally	functionally	ADV
fumecheng-10736	68	48	graded	grade	VERB
fumecheng-10736	68	49	(	(	PUNCT
fumecheng-10736	68	50	fg	fg	NOUN
fumecheng-10736	68	51	)	)	PUNCT
fumecheng-10736	68	52	beam	beam	NOUN
fumecheng-10736	68	53	on	on	ADP
fumecheng-10736	68	54	the	the	DET
fumecheng-10736	68	55	elastic	elastic	ADJ
fumecheng-10736	68	56	foundation	foundation	NOUN
fumecheng-10736	68	57	;	;	PUNCT
fumecheng-10736	68	58	demir	demir	PROPN
fumecheng-10736	69	1	[	[	X
fumecheng-10736	69	2	66	66	NUM
fumecheng-10736	69	3	]	]	PUNCT
fumecheng-10736	69	4	employed	employ	VERB
fumecheng-10736	69	5	the	the	DET
fumecheng-10736	69	6	differential	differential	ADJ
fumecheng-10736	69	7	transform	transform	NOUN
fumecheng-10736	69	8	method	method	NOUN
fumecheng-10736	69	9	(	(	PUNCT
fumecheng-10736	69	10	dtm	dtm	PROPN
fumecheng-10736	69	11	)	)	PUNCT
fumecheng-10736	69	12	to	to	PART
fumecheng-10736	69	13	compute	compute	VERB
fumecheng-10736	69	14	the	the	DET
fumecheng-10736	69	15	natural	natural	ADJ
fumecheng-10736	69	16	frequencies	frequency	NOUN
fumecheng-10736	69	17	of	of	ADP
fumecheng-10736	69	18	simply	simply	ADV
fumecheng-10736	69	19	supported	support	VERB
fumecheng-10736	69	20	and	and	CCONJ
fumecheng-10736	69	21	clamped	clamp	VERB
fumecheng-10736	69	22	-	-	PUNCT
fumecheng-10736	69	23	clamped	clamp	VERB
fumecheng-10736	69	24	nanobeams	nanobeam	NOUN
fumecheng-10736	69	25	on	on	ADP
fumecheng-10736	69	26	elastic	elastic	ADJ
fumecheng-10736	69	27	foundation	foundation	NOUN
fumecheng-10736	69	28	;	;	PUNCT
fumecheng-10736	69	29	ponbunyanon	ponbunyanon	PROPN
fumecheng-10736	69	30	et	et	PROPN
fumecheng-10736	69	31	al	al	PROPN
fumecheng-10736	69	32	.	.	PUNCT
fumecheng-10736	70	1	[	[	X
fumecheng-10736	70	2	67	67	NUM
fumecheng-10736	70	3	]	]	PUNCT
fumecheng-10736	70	4	extended	extend	VERB
fumecheng-10736	70	5	the	the	DET
fumecheng-10736	70	6	winklerpasternak	winklerpasternak	NOUN
fumecheng-10736	70	7	based	base	VERB
fumecheng-10736	70	8	beam	beam	NOUN
fumecheng-10736	70	9	-	-	PUNCT
fumecheng-10736	70	10	foundation	foundation	NOUN
fumecheng-10736	70	11	of	of	ADP
fumecheng-10736	70	12	limkatanyu	limkatanyu	NOUN
fumecheng-10736	70	13	et	et	PROPN
fumecheng-10736	70	14	al	al	PROPN
fumecheng-10736	70	15	.	.	PUNCT
fumecheng-10736	71	1	[	[	X
fumecheng-10736	71	2	9	9	NUM
fumecheng-10736	71	3	]	]	PUNCT
fumecheng-10736	71	4	to	to	PART
fumecheng-10736	71	5	study	study	VERB
fumecheng-10736	71	6	the	the	DET
fumecheng-10736	71	7	flexural	flexural	ADJ
fumecheng-10736	71	8	behaviour	behaviour	NOUN
fumecheng-10736	71	9	of	of	ADP
fumecheng-10736	71	10	the	the	DET
fumecheng-10736	71	11	nanobeam	nanobeam	ADJ
fumecheng-10736	71	12	-	-	PUNCT
fumecheng-10736	71	13	substrate	substrate	NOUN
fumecheng-10736	71	14	medium	medium	ADJ
fumecheng-10736	71	15	system	system	NOUN
fumecheng-10736	71	16	;	;	PUNCT
fumecheng-10736	71	17	and	and	CCONJ
fumecheng-10736	71	18	jena	jena	PROPN
fumecheng-10736	71	19	et	et	PROPN
fumecheng-10736	71	20	al	al	PROPN
fumecheng-10736	71	21	.	.	PUNCT
fumecheng-10736	72	1	[	[	X
fumecheng-10736	72	2	68	68	NUM
fumecheng-10736	72	3	]	]	PUNCT
fumecheng-10736	72	4	performed	perform	VERB
fumecheng-10736	72	5	buckling	buckling	NOUN
fumecheng-10736	72	6	analyses	analysis	NOUN
fumecheng-10736	72	7	of	of	ADP
fumecheng-10736	72	8	single	single	ADJ
fumecheng-10736	72	9	-	-	PUNCT
fumecheng-10736	72	10	walled	wall	VERB
fumecheng-10736	72	11	carbon	carbon	NOUN
fumecheng-10736	72	12	nanotubes	nanotube	NOUN
fumecheng-10736	72	13	on	on	ADP
fumecheng-10736	72	14	elastic	elastic	ADJ
fumecheng-10736	72	15	substrate	substrate	NOUN
fumecheng-10736	72	16	media	medium	NOUN
fumecheng-10736	72	17	under	under	ADP
fumecheng-10736	72	18	both	both	CCONJ
fumecheng-10736	72	19	low	low	ADJ
fumecheng-10736	72	20	and	and	CCONJ
fumecheng-10736	72	21	high	high	ADJ
fumecheng-10736	72	22	temperature	temperature	NOUN
fumecheng-10736	72	23	environments	environment	NOUN
fumecheng-10736	72	24	.	.	PUNCT
fumecheng-10736	73	1	to	to	ADP
fumecheng-10736	73	2	the	the	DET
fumecheng-10736	73	3	best	good	ADJ
fumecheng-10736	73	4	of	of	ADP
fumecheng-10736	73	5	the	the	DET
fumecheng-10736	73	6	authors	author	NOUN
fumecheng-10736	73	7	’	’	PART
fumecheng-10736	73	8	knowledge	knowledge	NOUN
fumecheng-10736	73	9	,	,	PUNCT
fumecheng-10736	73	10	the	the	DET
fumecheng-10736	73	11	reformulated	reformulate	VERB
fumecheng-10736	73	12	strain	strain	NOUN
fumecheng-10736	73	13	-	-	PUNCT
fumecheng-10736	73	14	gradient	gradient	NOUN
fumecheng-10736	73	15	elasticity	elasticity	NOUN
fumecheng-10736	73	16	theory	theory	NOUN
fumecheng-10736	73	17	of	of	ADP
fumecheng-10736	73	18	zhang	zhang	PROPN
fumecheng-10736	73	19	and	and	CCONJ
fumecheng-10736	73	20	guo	guo	PROPN
fumecheng-10736	73	21	[	[	X
fumecheng-10736	73	22	30	30	NUM
fumecheng-10736	73	23	]	]	PUNCT
fumecheng-10736	73	24	has	have	AUX
fumecheng-10736	73	25	not	not	PART
fumecheng-10736	73	26	been	be	AUX
fumecheng-10736	73	27	applied	apply	VERB
fumecheng-10736	73	28	to	to	ADP
fumecheng-10736	73	29	the	the	DET
fumecheng-10736	73	30	problem	problem	NOUN
fumecheng-10736	73	31	of	of	ADP
fumecheng-10736	73	32	nanobeams	nanobeam	NOUN
fumecheng-10736	73	33	on	on	ADP
fumecheng-10736	73	34	substrate	substrate	NOUN
fumecheng-10736	73	35	media	medium	NOUN
fumecheng-10736	73	36	.	.	PUNCT
fumecheng-10736	74	1	therefore	therefore	ADV
fumecheng-10736	74	2	,	,	PUNCT
fumecheng-10736	74	3	there	there	PRON
fumecheng-10736	74	4	is	be	VERB
fumecheng-10736	74	5	still	still	ADV
fumecheng-10736	74	6	room	room	NOUN
fumecheng-10736	74	7	to	to	PART
fumecheng-10736	74	8	add	add	VERB
fumecheng-10736	74	9	a	a	DET
fumecheng-10736	74	10	rational	rational	ADJ
fumecheng-10736	74	11	nanobeam	nanobeam	ADJ
fumecheng-10736	74	12	-	-	PUNCT
fumecheng-10736	74	13	substrate	substrate	NOUN
fumecheng-10736	74	14	model	model	NOUN
fumecheng-10736	74	15	into	into	ADP
fumecheng-10736	74	16	the	the	DET
fumecheng-10736	74	17	research	research	NOUN
fumecheng-10736	74	18	community	community	NOUN
fumecheng-10736	74	19	due	due	ADP
fumecheng-10736	74	20	to	to	ADP
fumecheng-10736	74	21	the	the	DET
fumecheng-10736	74	22	merit	merit	NOUN
fumecheng-10736	74	23	of	of	ADP
fumecheng-10736	74	24	the	the	DET
fumecheng-10736	74	25	reformulated	reformulate	VERB
fumecheng-10736	74	26	strain	strain	NOUN
fumecheng-10736	74	27	-	-	PUNCT
fumecheng-10736	74	28	gradient	gradient	NOUN
fumecheng-10736	74	29	elasticity	elasticity	NOUN
fumecheng-10736	74	30	theory	theory	NOUN
fumecheng-10736	74	31	.	.	PUNCT
fumecheng-10736	75	1	the	the	DET
fumecheng-10736	75	2	objective	objective	NOUN
fumecheng-10736	75	3	of	of	ADP
fumecheng-10736	75	4	the	the	DET
fumecheng-10736	75	5	present	present	ADJ
fumecheng-10736	75	6	work	work	NOUN
fumecheng-10736	75	7	is	be	AUX
fumecheng-10736	75	8	to	to	PART
fumecheng-10736	75	9	propose	propose	VERB
fumecheng-10736	75	10	the	the	DET
fumecheng-10736	75	11	rational	rational	ADJ
fumecheng-10736	75	12	mathematical	mathematical	ADJ
fumecheng-10736	75	13	model	model	NOUN
fumecheng-10736	75	14	for	for	ADP
fumecheng-10736	75	15	static	static	ADJ
fumecheng-10736	75	16	and	and	CCONJ
fumecheng-10736	75	17	free	free	ADJ
fumecheng-10736	75	18	vibration	vibration	NOUN
fumecheng-10736	75	19	analyses	analysis	NOUN
fumecheng-10736	75	20	of	of	ADP
fumecheng-10736	75	21	nanobeams	nanobeam	NOUN
fumecheng-10736	75	22	on	on	ADP
fumecheng-10736	75	23	substrate	substrate	NOUN
fumecheng-10736	75	24	media	medium	NOUN
fumecheng-10736	75	25	.	.	PUNCT
fumecheng-10736	76	1	the	the	DET
fumecheng-10736	76	2	presentation	presentation	NOUN
fumecheng-10736	76	3	of	of	ADP
fumecheng-10736	76	4	the	the	DET
fumecheng-10736	76	5	present	present	ADJ
fumecheng-10736	76	6	work	work	NOUN
fumecheng-10736	76	7	is	be	AUX
fumecheng-10736	76	8	in	in	ADP
fumecheng-10736	76	9	the	the	DET
fumecheng-10736	76	10	following	follow	VERB
fumecheng-10736	76	11	order	order	NOUN
fumecheng-10736	76	12	.	.	PUNCT
fumecheng-10736	77	1	first	first	ADV
fumecheng-10736	77	2	,	,	PUNCT
fumecheng-10736	77	3	the	the	DET
fumecheng-10736	77	4	kinematics	kinematic	NOUN
fumecheng-10736	77	5	of	of	ADP
fumecheng-10736	77	6	the	the	DET
fumecheng-10736	77	7	euler	euler	PROPN
fumecheng-10736	77	8	-	-	PUNCT
fumecheng-10736	77	9	bernoulli	bernoulli	PROPN
fumecheng-10736	77	10	beam	beam	NOUN
fumecheng-10736	77	11	theory	theory	NOUN
fumecheng-10736	77	12	is	be	AUX
fumecheng-10736	77	13	described	describe	VERB
fumecheng-10736	77	14	.	.	PUNCT
fumecheng-10736	78	1	then	then	ADV
fumecheng-10736	78	2	,	,	PUNCT
fumecheng-10736	78	3	the	the	DET
fumecheng-10736	78	4	reformulated	reformulate	VERB
fumecheng-10736	78	5	strain	strain	NOUN
fumecheng-10736	78	6	-	-	PUNCT
fumecheng-10736	78	7	gradient	gradient	NOUN
fumecheng-10736	78	8	elasticity	elasticity	NOUN
fumecheng-10736	78	9	theory	theory	NOUN
fumecheng-10736	78	10	of	of	ADP
fumecheng-10736	78	11	zhang	zhang	PROPN
fumecheng-10736	78	12	and	and	CCONJ
fumecheng-10736	78	13	guo	guo	PROPN
fumecheng-10736	79	1	[	[	X
fumecheng-10736	79	2	30	30	NUM
fumecheng-10736	79	3	]	]	PUNCT
fumecheng-10736	79	4	and	and	CCONJ
fumecheng-10736	79	5	the	the	DET
fumecheng-10736	79	6	surface	surface	NOUN
fumecheng-10736	79	7	elasticity	elasticity	NOUN
fumecheng-10736	79	8	theory	theory	NOUN
fumecheng-10736	79	9	of	of	ADP
fumecheng-10736	79	10	gurtin	gurtin	NOUN
fumecheng-10736	79	11	and	and	CCONJ
fumecheng-10736	79	12	murdoch	murdoch	PROPN
fumecheng-10736	80	1	[	[	X
fumecheng-10736	80	2	32	32	NUM
fumecheng-10736	80	3	-	-	SYM
fumecheng-10736	80	4	33	33	NUM
fumecheng-10736	80	5	]	]	PUNCT
fumecheng-10736	80	6	are	be	AUX
fumecheng-10736	80	7	briefly	briefly	ADV
fumecheng-10736	80	8	discussed	discuss	VERB
fumecheng-10736	80	9	.	.	PUNCT
fumecheng-10736	81	1	next	next	ADV
fumecheng-10736	81	2	,	,	PUNCT
fumecheng-10736	81	3	the	the	DET
fumecheng-10736	81	4	winkler	winkler	NOUN
fumecheng-10736	81	5	-	-	PUNCT
fumecheng-10736	81	6	based	base	VERB
fumecheng-10736	81	7	interactive	interactive	ADJ
fumecheng-10736	81	8	mechanism	mechanism	NOUN
fumecheng-10736	81	9	between	between	ADP
fumecheng-10736	81	10	the	the	DET
fumecheng-10736	81	11	beam	beam	NOUN
fumecheng-10736	81	12	and	and	CCONJ
fumecheng-10736	81	13	its	its	PRON
fumecheng-10736	81	14	underlying	underlie	VERB
fumecheng-10736	81	15	substrate	substrate	NOUN
fumecheng-10736	81	16	medium	medium	NOUN
fumecheng-10736	81	17	is	be	AUX
fumecheng-10736	81	18	presented	present	VERB
fumecheng-10736	81	19	.	.	PUNCT
fumecheng-10736	82	1	hamilton	hamilton	PROPN
fumecheng-10736	82	2	’s	’s	PART
fumecheng-10736	82	3	principle	principle	NOUN
fumecheng-10736	82	4	is	be	AUX
fumecheng-10736	82	5	employed	employ	VERB
fumecheng-10736	82	6	to	to	PART
fumecheng-10736	82	7	obtain	obtain	VERB
fumecheng-10736	82	8	the	the	DET
fumecheng-10736	82	9	system	system	NOUN
fumecheng-10736	82	10	governing	govern	VERB
fumecheng-10736	82	11	equation	equation	NOUN
fumecheng-10736	82	12	and	and	CCONJ
fumecheng-10736	82	13	classical	classical	ADJ
fumecheng-10736	82	14	as	as	ADV
fumecheng-10736	82	15	well	well	ADV
fumecheng-10736	82	16	as	as	ADP
fumecheng-10736	82	17	non	non	ADJ
fumecheng-10736	82	18	-	-	ADJ
fumecheng-10736	82	19	classical	classical	ADJ
fumecheng-10736	82	20	boundary	boundary	ADJ
fumecheng-10736	82	21	conditions	condition	NOUN
fumecheng-10736	82	22	for	for	ADP
fumecheng-10736	82	23	bending	bend	VERB
fumecheng-10736	82	24	,	,	PUNCT
fumecheng-10736	82	25	buckling	buckling	NOUN
fumecheng-10736	82	26	,	,	PUNCT
fumecheng-10736	82	27	and	and	CCONJ
fumecheng-10736	82	28	free	free	ADJ
fumecheng-10736	82	29	vibration	vibration	NOUN
fumecheng-10736	82	30	analyses	analysis	NOUN
fumecheng-10736	82	31	.	.	PUNCT
fumecheng-10736	83	1	finally	finally	ADV
fumecheng-10736	83	2	,	,	PUNCT
fumecheng-10736	83	3	three	three	NUM
fumecheng-10736	83	4	numerical	numerical	ADJ
fumecheng-10736	83	5	simulations	simulation	NOUN
fumecheng-10736	83	6	are	be	AUX
fumecheng-10736	83	7	provided	provide	VERB
fumecheng-10736	83	8	to	to	PART
fumecheng-10736	83	9	demonstrate	demonstrate	VERB
fumecheng-10736	83	10	behaviours	behaviour	NOUN
fumecheng-10736	83	11	and	and	CCONJ
fumecheng-10736	83	12	characteristics	characteristic	NOUN
fumecheng-10736	83	13	of	of	ADP
fumecheng-10736	83	14	the	the	DET
fumecheng-10736	83	15	proposed	propose	VERB
fumecheng-10736	83	16	nanobeamsubstrate	nanobeamsubstrate	ADJ
fumecheng-10736	83	17	medium	medium	ADJ
fumecheng-10736	83	18	model	model	NOUN
fumecheng-10736	83	19	.	.	PUNCT
fumecheng-10736	84	1	the	the	DET
fumecheng-10736	84	2	first	first	ADJ
fumecheng-10736	84	3	simulation	simulation	NOUN
fumecheng-10736	84	4	is	be	AUX
fumecheng-10736	84	5	employed	employ	VERB
fumecheng-10736	84	6	to	to	PART
fumecheng-10736	84	7	demonstrate	demonstrate	VERB
fumecheng-10736	84	8	the	the	DET
fumecheng-10736	84	9	ability	ability	NOUN
fumecheng-10736	84	10	of	of	ADP
fumecheng-10736	84	11	the	the	DET
fumecheng-10736	84	12	proposed	propose	VERB
fumecheng-10736	84	13	model	model	NOUN
fumecheng-10736	84	14	to	to	PART
fumecheng-10736	84	15	overcome	overcome	VERB
fumecheng-10736	84	16	the	the	DET
fumecheng-10736	84	17	paradoxical	paradoxical	ADJ
fumecheng-10736	84	18	response	response	NOUN
fumecheng-10736	84	19	found	find	VERB
fumecheng-10736	84	20	in	in	ADP
fumecheng-10736	84	21	the	the	DET
fumecheng-10736	84	22	literature	literature	NOUN
fumecheng-10736	84	23	[	[	X
fumecheng-10736	84	24	34	34	NUM
fumecheng-10736	84	25	,	,	PUNCT
fumecheng-10736	84	26	38	38	NUM
fumecheng-10736	84	27	,	,	PUNCT
fumecheng-10736	84	28	40	40	NUM
fumecheng-10736	84	29	-	-	SYM
fumecheng-10736	84	30	42	42	NUM
fumecheng-10736	84	31	]	]	PUNCT
fumecheng-10736	84	32	and	and	CCONJ
fumecheng-10736	84	33	to	to	PART
fumecheng-10736	84	34	investigate	investigate	VERB
fumecheng-10736	84	35	the	the	DET
fumecheng-10736	84	36	material	material	ADJ
fumecheng-10736	84	37	small	small	ADJ
fumecheng-10736	84	38	-	-	PUNCT
fumecheng-10736	84	39	scale	scale	NOUN
fumecheng-10736	84	40	and	and	CCONJ
fumecheng-10736	84	41	surface	surface	NOUN
fumecheng-10736	84	42	-	-	PUNCT
fumecheng-10736	84	43	energy	energy	NOUN
fumecheng-10736	84	44	effects	effect	NOUN
fumecheng-10736	84	45	as	as	ADV
fumecheng-10736	84	46	well	well	ADV
fumecheng-10736	84	47	as	as	ADP
fumecheng-10736	84	48	the	the	DET
fumecheng-10736	84	49	nanobeam	nanobeam	ADJ
fumecheng-10736	84	50	-	-	PUNCT
fumecheng-10736	84	51	substrate	substrate	NOUN
fumecheng-10736	84	52	medium	medium	ADJ
fumecheng-10736	84	53	interaction	interaction	NOUN
fumecheng-10736	84	54	on	on	ADP
fumecheng-10736	84	55	the	the	DET
fumecheng-10736	84	56	bending	bending	NOUN
fumecheng-10736	84	57	responses	response	NOUN
fumecheng-10736	84	58	.	.	PUNCT
fumecheng-10736	85	1	the	the	DET
fumecheng-10736	85	2	second	second	ADJ
fumecheng-10736	85	3	and	and	CCONJ
fumecheng-10736	85	4	third	third	ADJ
fumecheng-10736	85	5	simulations	simulation	NOUN
fumecheng-10736	85	6	examine	examine	VERB
fumecheng-10736	85	7	the	the	DET
fumecheng-10736	85	8	variation	variation	NOUN
fumecheng-10736	85	9	of	of	ADP
fumecheng-10736	85	10	the	the	DET
fumecheng-10736	85	11	system	system	NOUN
fumecheng-10736	85	12	parameters	parameter	NOUN
fumecheng-10736	85	13	on	on	ADP
fumecheng-10736	85	14	the	the	DET
fumecheng-10736	85	15	critical	critical	ADJ
fumecheng-10736	85	16	buckling	buckling	NOUN
fumecheng-10736	85	17	load	load	NOUN
fumecheng-10736	85	18	and	and	CCONJ
fumecheng-10736	85	19	the	the	DET
fumecheng-10736	85	20	natural	natural	ADJ
fumecheng-10736	85	21	frequency	frequency	NOUN
fumecheng-10736	85	22	of	of	ADP
fumecheng-10736	85	23	the	the	DET
fumecheng-10736	85	24	simply	simply	ADV
fumecheng-10736	85	25	-	-	PUNCT
fumecheng-10736	85	26	supported	support	VERB
fumecheng-10736	85	27	nanobeam	nanobeam	ADJ
fumecheng-10736	85	28	-	-	PUNCT
fumecheng-10736	85	29	substrate	substrate	NOUN
fumecheng-10736	85	30	medium	medium	ADJ
fumecheng-10736	85	31	systems	system	NOUN
fumecheng-10736	85	32	.	.	PUNCT
fumecheng-10736	86	1	all	all	DET
fumecheng-10736	86	2	symbolic	symbolic	ADJ
fumecheng-10736	86	3	calculations	calculation	NOUN
fumecheng-10736	86	4	in	in	ADP
fumecheng-10736	86	5	the	the	DET
fumecheng-10736	86	6	present	present	ADJ
fumecheng-10736	86	7	work	work	NOUN
fumecheng-10736	86	8	are	be	AUX
fumecheng-10736	86	9	carried	carry	VERB
fumecheng-10736	86	10	out	out	ADP
fumecheng-10736	86	11	using	use	VERB
fumecheng-10736	86	12	the	the	DET
fumecheng-10736	86	13	computer	computer	NOUN
fumecheng-10736	86	14	software	software	NOUN
fumecheng-10736	86	15	mathematica	mathematica	PROPN
fumecheng-10736	87	1	[	[	X
fumecheng-10736	87	2	69	69	NUM
fumecheng-10736	87	3	]	]	SYM
fumecheng-10736	87	4	.	.	PUNCT
fumecheng-10736	88	1	2	2	X
fumecheng-10736	88	2	.	.	X
fumecheng-10736	88	3	euler	euler	PROPN
fumecheng-10736	88	4	-	-	PUNCT
fumecheng-10736	88	5	bernoulli	bernoulli	PROPN
fumecheng-10736	88	6	beam	beam	NOUN
fumecheng-10736	88	7	theory	theory	NOUN
fumecheng-10736	88	8	in	in	ADP
fumecheng-10736	88	9	the	the	DET
fumecheng-10736	88	10	present	present	ADJ
fumecheng-10736	88	11	work	work	NOUN
fumecheng-10736	88	12	,	,	PUNCT
fumecheng-10736	88	13	the	the	DET
fumecheng-10736	88	14	kinematic	kinematic	ADJ
fumecheng-10736	88	15	assumption	assumption	NOUN
fumecheng-10736	88	16	of	of	ADP
fumecheng-10736	88	17	the	the	DET
fumecheng-10736	88	18	proposed	propose	VERB
fumecheng-10736	88	19	beam	beam	NOUN
fumecheng-10736	88	20	model	model	NOUN
fumecheng-10736	88	21	follows	follow	VERB
fumecheng-10736	88	22	the	the	DET
fumecheng-10736	88	23	euler	euler	PROPN
fumecheng-10736	88	24	-	-	PUNCT
fumecheng-10736	88	25	bernoulli	bernoulli	PROPN
fumecheng-10736	88	26	beam	beam	NOUN
fumecheng-10736	88	27	hypothesis	hypothesis	NOUN
fumecheng-10736	88	28	[	[	X
fumecheng-10736	88	29	70	70	NUM
fumecheng-10736	88	30	]	]	PUNCT
fumecheng-10736	88	31	asserting	assert	VERB
fumecheng-10736	88	32	that	that	SCONJ
fumecheng-10736	88	33	“	"	PUNCT
fumecheng-10736	88	34	plane	plane	NOUN
fumecheng-10736	88	35	section	section	NOUN
fumecheng-10736	88	36	remains	remain	VERB
fumecheng-10736	88	37	plane	plane	NOUN
fumecheng-10736	88	38	and	and	CCONJ
fumecheng-10736	88	39	still	still	ADV
fumecheng-10736	88	40	normal	normal	ADJ
fumecheng-10736	88	41	to	to	ADP
fumecheng-10736	88	42	the	the	DET
fumecheng-10736	88	43	longitudinal	longitudinal	ADJ
fumecheng-10736	88	44	axis	axis	NOUN
fumecheng-10736	88	45	”	"	PUNCT
fumecheng-10736	88	46	.	.	PUNCT
fumecheng-10736	89	1	based	base	VERB
fumecheng-10736	89	2	on	on	ADP
fumecheng-10736	89	3	this	this	DET
fumecheng-10736	89	4	kinematical	kinematical	ADJ
fumecheng-10736	89	5	constraint	constraint	NOUN
fumecheng-10736	89	6	,	,	PUNCT
fumecheng-10736	89	7	the	the	DET
fumecheng-10736	89	8	displacements	displacement	NOUN
fumecheng-10736	89	9	of	of	ADP
fumecheng-10736	89	10	a	a	DET
fumecheng-10736	89	11	generic	generic	ADJ
fumecheng-10736	89	12	point	point	NOUN
fumecheng-10736	89	13	along	along	ADP
fumecheng-10736	89	14	the	the	DET
fumecheng-10736	89	15	x-	x-	PROPN
fumecheng-10736	89	16	,	,	PUNCT
fumecheng-10736	89	17	y-	y-	X
fumecheng-10736	89	18	,	,	PUNCT
fumecheng-10736	89	19	and	and	CCONJ
fumecheng-10736	89	20	zaxes	zaxe	NOUN
fumecheng-10736	89	21	are	be	AUX
fumecheng-10736	89	22	:	:	PUNCT
fumecheng-10736	89	23	0	0	NUM
fumecheng-10736	89	24	0	0	NUM
fumecheng-10736	89	25	(	(	PUNCT
fumecheng-10736	89	26	)	)	PUNCT
fumecheng-10736	89	27	(	(	PUNCT
fumecheng-10736	89	28	,	,	PUNCT
fumecheng-10736	89	29	)	)	PUNCT
fumecheng-10736	89	30	;	;	PUNCT
fumecheng-10736	89	31	(	(	PUNCT
fumecheng-10736	89	32	,	,	PUNCT
fumecheng-10736	89	33	)	)	PUNCT
fumecheng-10736	89	34	(	(	PUNCT
fumecheng-10736	89	35	)	)	PUNCT
fumecheng-10736	89	36	;	;	PUNCT
fumecheng-10736	89	37	and	and	CCONJ
fumecheng-10736	89	38	(	(	PUNCT
fumecheng-10736	89	39	,	,	PUNCT
fumecheng-10736	89	40	)	)	PUNCT
fumecheng-10736	90	1	0x	0x	NOUN
fumecheng-10736	90	2	y	y	PROPN
fumecheng-10736	90	3	z	z	PROPN
fumecheng-10736	90	4	v	v	PROPN
fumecheng-10736	90	5	x	x	SYM
fumecheng-10736	90	6	u	u	NOUN
fumecheng-10736	90	7	x	x	PROPN
fumecheng-10736	90	8	y	y	VERB
fumecheng-10736	90	9	y	y	PROPN
fumecheng-10736	90	10	u	u	PROPN
fumecheng-10736	90	11	x	x	PROPN
fumecheng-10736	90	12	y	y	PROPN
fumecheng-10736	90	13	v	v	NUM
fumecheng-10736	90	14	x	x	SYM
fumecheng-10736	90	15	u	u	NOUN
fumecheng-10736	90	16	x	x	PROPN
fumecheng-10736	90	17	y	y	NOUN
fumecheng-10736	90	18	x	x	SYM
fumecheng-10736	90	19			PROPN
fumecheng-10736	90	20	=	=	SYM
fumecheng-10736	90	21	−	−	PROPN
fumecheng-10736	91	1	=	=	SYM
fumecheng-10736	91	2	=	=	SYM
fumecheng-10736	91	3			ADJ
fumecheng-10736	91	4	(	(	PUNCT
fumecheng-10736	91	5	1	1	X
fumecheng-10736	91	6	)	)	PUNCT
fumecheng-10736	91	7	bending	bending	NOUN
fumecheng-10736	91	8	,	,	PUNCT
fumecheng-10736	91	9	buckling	buckling	NOUN
fumecheng-10736	91	10	,	,	PUNCT
fumecheng-10736	91	11	and	and	CCONJ
fumecheng-10736	91	12	free	free	ADJ
fumecheng-10736	91	13	vibration	vibration	NOUN
fumecheng-10736	91	14	analyses	analysis	NOUN
fumecheng-10736	91	15	of	of	ADP
fumecheng-10736	91	16	nanobeam	nanobeam	ADJ
fumecheng-10736	91	17	-	-	PUNCT
fumecheng-10736	91	18	substrate	substrate	NOUN
fumecheng-10736	91	19	medium	medium	ADJ
fumecheng-10736	91	20	systems	system	NOUN
fumecheng-10736	91	21	565	565	NUM
fumecheng-10736	91	22	where	where	SCONJ
fumecheng-10736	91	23	ux(x	ux(x	ADJ
fumecheng-10736	91	24	,	,	PUNCT
fumecheng-10736	91	25	y	y	PROPN
fumecheng-10736	91	26	)	)	PUNCT
fumecheng-10736	91	27	,	,	PUNCT
fumecheng-10736	91	28	uy(x	uy(x	X
fumecheng-10736	91	29	,	,	PUNCT
fumecheng-10736	91	30	y	y	NOUN
fumecheng-10736	91	31	)	)	PUNCT
fumecheng-10736	91	32	,	,	PUNCT
fumecheng-10736	91	33	and	and	CCONJ
fumecheng-10736	91	34	uz(x	uz(x	ADJ
fumecheng-10736	91	35	,	,	PUNCT
fumecheng-10736	91	36	y	y	NOUN
fumecheng-10736	91	37	)	)	PUNCT
fumecheng-10736	91	38	are	be	AUX
fumecheng-10736	91	39	displacement	displacement	ADJ
fumecheng-10736	91	40	fields	field	NOUN
fumecheng-10736	91	41	along	along	ADP
fumecheng-10736	91	42	the	the	DET
fumecheng-10736	91	43	x-	x-	PROPN
fumecheng-10736	91	44	,	,	PUNCT
fumecheng-10736	91	45	y-	y-	X
fumecheng-10736	91	46	,	,	PUNCT
fumecheng-10736	91	47	and	and	CCONJ
fumecheng-10736	91	48	zaxes	zaxe	NOUN
fumecheng-10736	91	49	,	,	PUNCT
fumecheng-10736	91	50	respectively	respectively	ADV
fumecheng-10736	91	51	;	;	PUNCT
fumecheng-10736	91	52	v0(x	v0(x	X
fumecheng-10736	91	53	)	)	PUNCT
fumecheng-10736	91	54	is	be	AUX
fumecheng-10736	91	55	the	the	DET
fumecheng-10736	91	56	vertical	vertical	ADJ
fumecheng-10736	91	57	displacement	displacement	NOUN
fumecheng-10736	91	58	of	of	ADP
fumecheng-10736	91	59	the	the	DET
fumecheng-10736	91	60	beam	beam	NOUN
fumecheng-10736	91	61	section	section	NOUN
fumecheng-10736	91	62	;	;	PUNCT
fumecheng-10736	91	63	and	and	CCONJ
fumecheng-10736	91	64	y	y	PROPN
fumecheng-10736	91	65	is	be	AUX
fumecheng-10736	91	66	the	the	DET
fumecheng-10736	91	67	vertical	vertical	ADJ
fumecheng-10736	91	68	distance	distance	NOUN
fumecheng-10736	91	69	of	of	ADP
fumecheng-10736	91	70	the	the	DET
fumecheng-10736	91	71	point	point	NOUN
fumecheng-10736	91	72	measured	measure	VERB
fumecheng-10736	91	73	from	from	ADP
fumecheng-10736	91	74	the	the	DET
fumecheng-10736	91	75	reference	reference	NOUN
fumecheng-10736	91	76	axis	axis	NOUN
fumecheng-10736	91	77	x.	x.	NOUN
fumecheng-10736	91	78	3	3	X
fumecheng-10736	91	79	.	.	PUNCT
fumecheng-10736	91	80	reformulated	reformulate	VERB
fumecheng-10736	91	81	strain	strain	NOUN
fumecheng-10736	91	82	-	-	PUNCT
fumecheng-10736	91	83	gradient	gradient	NOUN
fumecheng-10736	91	84	elasticity	elasticity	NOUN
fumecheng-10736	91	85	theory	theory	NOUN
fumecheng-10736	91	86	the	the	DET
fumecheng-10736	91	87	reformulated	reformulate	VERB
fumecheng-10736	91	88	strain	strain	NOUN
fumecheng-10736	91	89	-	-	PUNCT
fumecheng-10736	91	90	gradient	gradient	NOUN
fumecheng-10736	91	91	elasticity	elasticity	NOUN
fumecheng-10736	91	92	theory	theory	NOUN
fumecheng-10736	91	93	of	of	ADP
fumecheng-10736	91	94	zhang	zhang	PROPN
fumecheng-10736	91	95	and	and	CCONJ
fumecheng-10736	91	96	gao	gao	PROPN
fumecheng-10736	91	97	[	[	X
fumecheng-10736	91	98	30	30	NUM
fumecheng-10736	91	99	]	]	PUNCT
fumecheng-10736	91	100	is	be	AUX
fumecheng-10736	91	101	modified	modify	VERB
fumecheng-10736	91	102	from	from	ADP
fumecheng-10736	91	103	form	form	NOUN
fumecheng-10736	91	104	i	i	PRON
fumecheng-10736	91	105	of	of	ADP
fumecheng-10736	91	106	mindlin	mindlin	PROPN
fumecheng-10736	91	107	’s	’s	PART
fumecheng-10736	91	108	strain	strain	NOUN
fumecheng-10736	91	109	-	-	PUNCT
fumecheng-10736	91	110	gradient	gradient	NOUN
fumecheng-10736	91	111	elasticity	elasticity	NOUN
fumecheng-10736	91	112	theory	theory	NOUN
fumecheng-10736	91	113	[	[	X
fumecheng-10736	91	114	27	27	NUM
fumecheng-10736	91	115	]	]	PUNCT
fumecheng-10736	91	116	.	.	PUNCT
fumecheng-10736	92	1	the	the	DET
fumecheng-10736	92	2	assertion	assertion	NOUN
fumecheng-10736	92	3	of	of	ADP
fumecheng-10736	92	4	form	form	NOUN
fumecheng-10736	92	5	i	i	PRON
fumecheng-10736	92	6	is	be	AUX
fumecheng-10736	92	7	that	that	SCONJ
fumecheng-10736	92	8	the	the	DET
fumecheng-10736	92	9	strain	strain	ADJ
fumecheng-10736	92	10	energy	energy	NOUN
fumecheng-10736	92	11	density	density	NOUN
fumecheng-10736	92	12	function	function	NOUN
fumecheng-10736	92	13	is	be	AUX
fumecheng-10736	92	14	expressed	express	VERB
fumecheng-10736	92	15	as	as	ADP
fumecheng-10736	92	16	a	a	DET
fumecheng-10736	92	17	function	function	NOUN
fumecheng-10736	92	18	of	of	ADP
fumecheng-10736	92	19	the	the	DET
fumecheng-10736	92	20	infinitesimal	infinitesimal	ADJ
fumecheng-10736	92	21	strain	strain	NOUN
fumecheng-10736	92	22	tensor	tensor	NOUN
fumecheng-10736	92	23	and	and	CCONJ
fumecheng-10736	92	24	the	the	DET
fumecheng-10736	92	25	second	second	ADJ
fumecheng-10736	92	26	gradient	gradient	NOUN
fumecheng-10736	92	27	of	of	ADP
fumecheng-10736	92	28	displacement	displacement	NOUN
fumecheng-10736	92	29	.	.	PUNCT
fumecheng-10736	93	1	for	for	ADP
fumecheng-10736	93	2	a	a	DET
fumecheng-10736	93	3	linear	linear	ADJ
fumecheng-10736	93	4	isotropic	isotropic	ADJ
fumecheng-10736	93	5	elastic	elastic	ADJ
fumecheng-10736	93	6	material	material	NOUN
fumecheng-10736	93	7	,	,	PUNCT
fumecheng-10736	93	8	form	form	NOUN
fumecheng-10736	93	9	i	i	PRON
fumecheng-10736	93	10	contains	contain	VERB
fumecheng-10736	93	11	five	five	NUM
fumecheng-10736	93	12	material	material	NOUN
fumecheng-10736	93	13	constants	constant	NOUN
fumecheng-10736	93	14	related	relate	VERB
fumecheng-10736	93	15	to	to	PART
fumecheng-10736	93	16	strain	strain	VERB
fumecheng-10736	93	17	gradients	gradient	NOUN
fumecheng-10736	93	18	in	in	ADP
fumecheng-10736	93	19	addition	addition	NOUN
fumecheng-10736	93	20	to	to	ADP
fumecheng-10736	93	21	two	two	NUM
fumecheng-10736	93	22	conventional	conventional	ADJ
fumecheng-10736	93	23	material	material	NOUN
fumecheng-10736	93	24	constants	constant	NOUN
fumecheng-10736	93	25	(	(	PUNCT
fumecheng-10736	93	26	lame	lame	ADJ
fumecheng-10736	93	27	constants	constant	NOUN
fumecheng-10736	93	28	)	)	PUNCT
fumecheng-10736	93	29	.	.	PUNCT
fumecheng-10736	94	1	to	to	PART
fumecheng-10736	94	2	simplify	simplify	VERB
fumecheng-10736	94	3	form	form	NOUN
fumecheng-10736	94	4	i	i	PRON
fumecheng-10736	94	5	of	of	ADP
fumecheng-10736	94	6	mindlin	mindlin	PROPN
fumecheng-10736	94	7	’s	’s	PART
fumecheng-10736	94	8	strain	strain	NOUN
fumecheng-10736	94	9	-	-	PUNCT
fumecheng-10736	94	10	gradient	gradient	NOUN
fumecheng-10736	94	11	elasticity	elasticity	NOUN
fumecheng-10736	94	12	theory	theory	NOUN
fumecheng-10736	94	13	,	,	PUNCT
fumecheng-10736	94	14	zhang	zhang	PROPN
fumecheng-10736	94	15	and	and	CCONJ
fumecheng-10736	94	16	gao	gao	PROPN
fumecheng-10736	95	1	[	[	X
fumecheng-10736	95	2	30	30	NUM
fumecheng-10736	95	3	]	]	PUNCT
fumecheng-10736	95	4	reduced	reduce	VERB
fumecheng-10736	95	5	the	the	DET
fumecheng-10736	95	6	number	number	NOUN
fumecheng-10736	95	7	of	of	ADP
fumecheng-10736	95	8	material	material	NOUN
fumecheng-10736	95	9	length	length	NOUN
fumecheng-10736	95	10	-	-	PUNCT
fumecheng-10736	95	11	scale	scale	NOUN
fumecheng-10736	95	12	parameters	parameter	NOUN
fumecheng-10736	95	13	from	from	ADP
fumecheng-10736	95	14	five	five	NUM
fumecheng-10736	95	15	to	to	ADP
fumecheng-10736	95	16	two	two	NUM
fumecheng-10736	95	17	using	use	VERB
fumecheng-10736	95	18	the	the	DET
fumecheng-10736	95	19	symmetry	symmetry	NOUN
fumecheng-10736	95	20	property	property	NOUN
fumecheng-10736	95	21	of	of	ADP
fumecheng-10736	95	22	the	the	DET
fumecheng-10736	95	23	tensor	tensor	NOUN
fumecheng-10736	95	24	[	[	X
fumecheng-10736	95	25	71	71	NUM
fumecheng-10736	95	26	]	]	PUNCT
fumecheng-10736	95	27	.	.	PUNCT
fumecheng-10736	96	1	the	the	DET
fumecheng-10736	96	2	first	first	ADJ
fumecheng-10736	96	3	material	material	NOUN
fumecheng-10736	96	4	length	length	NOUN
fumecheng-10736	96	5	-	-	PUNCT
fumecheng-10736	96	6	scale	scale	NOUN
fumecheng-10736	96	7	parameter	parameter	NOUN
fumecheng-10736	96	8	addresses	address	VERB
fumecheng-10736	96	9	the	the	DET
fumecheng-10736	96	10	strain	strain	NOUN
fumecheng-10736	96	11	-	-	PUNCT
fumecheng-10736	96	12	gradient	gradient	NOUN
fumecheng-10736	96	13	effect	effect	NOUN
fumecheng-10736	96	14	while	while	SCONJ
fumecheng-10736	96	15	the	the	DET
fumecheng-10736	96	16	second	second	ADJ
fumecheng-10736	96	17	material	material	NOUN
fumecheng-10736	96	18	length	length	NOUN
fumecheng-10736	96	19	-	-	PUNCT
fumecheng-10736	96	20	scale	scale	NOUN
fumecheng-10736	96	21	parameter	parameter	NOUN
fumecheng-10736	96	22	considers	consider	VERB
fumecheng-10736	96	23	the	the	DET
fumecheng-10736	96	24	couple	couple	NOUN
fumecheng-10736	96	25	-	-	PUNCT
fumecheng-10736	96	26	stress	stress	NOUN
fumecheng-10736	96	27	effect	effect	NOUN
fumecheng-10736	96	28	.	.	PUNCT
fumecheng-10736	97	1	this	this	DET
fumecheng-10736	97	2	simplified	simplify	VERB
fumecheng-10736	97	3	strain	strain	NOUN
fumecheng-10736	97	4	-	-	PUNCT
fumecheng-10736	97	5	gradient	gradient	NOUN
fumecheng-10736	97	6	elasticity	elasticity	NOUN
fumecheng-10736	97	7	theory	theory	NOUN
fumecheng-10736	97	8	is	be	AUX
fumecheng-10736	97	9	named	name	VERB
fumecheng-10736	97	10	as	as	ADP
fumecheng-10736	97	11	the	the	DET
fumecheng-10736	97	12	“	"	PUNCT
fumecheng-10736	97	13	reformulated	reformulate	VERB
fumecheng-10736	97	14	”	"	PUNCT
fumecheng-10736	97	15	strain	strain	NOUN
fumecheng-10736	97	16	-	-	PUNCT
fumecheng-10736	97	17	gradient	gradient	NOUN
fumecheng-10736	97	18	elasticity	elasticity	NOUN
fumecheng-10736	97	19	theory	theory	NOUN
fumecheng-10736	97	20	and	and	CCONJ
fumecheng-10736	97	21	is	be	AUX
fumecheng-10736	97	22	employed	employ	VERB
fumecheng-10736	97	23	in	in	ADP
fumecheng-10736	97	24	this	this	DET
fumecheng-10736	97	25	study	study	NOUN
fumecheng-10736	97	26	to	to	PART
fumecheng-10736	97	27	address	address	VERB
fumecheng-10736	97	28	the	the	DET
fumecheng-10736	97	29	beam	beam	NOUN
fumecheng-10736	97	30	-	-	PUNCT
fumecheng-10736	97	31	bulk	bulk	ADJ
fumecheng-10736	97	32	material	material	NOUN
fumecheng-10736	97	33	small	small	ADJ
fumecheng-10736	97	34	-	-	PUNCT
fumecheng-10736	97	35	scale	scale	NOUN
fumecheng-10736	97	36	effect	effect	NOUN
fumecheng-10736	97	37	.	.	PUNCT
fumecheng-10736	98	1	based	base	VERB
fumecheng-10736	98	2	on	on	ADP
fumecheng-10736	98	3	the	the	DET
fumecheng-10736	98	4	reformulated	reformulate	VERB
fumecheng-10736	98	5	strain	strain	NOUN
fumecheng-10736	98	6	-	-	PUNCT
fumecheng-10736	98	7	gradient	gradient	NOUN
fumecheng-10736	98	8	elasticity	elasticity	NOUN
fumecheng-10736	98	9	theory	theory	NOUN
fumecheng-10736	98	10	proposed	propose	VERB
fumecheng-10736	98	11	by	by	ADP
fumecheng-10736	98	12	zhang	zhang	PROPN
fumecheng-10736	98	13	and	and	CCONJ
fumecheng-10736	98	14	gao	gao	PROPN
fumecheng-10736	98	15	[	[	X
fumecheng-10736	98	16	30	30	NUM
fumecheng-10736	98	17	]	]	PUNCT
fumecheng-10736	98	18	,	,	PUNCT
fumecheng-10736	98	19	the	the	DET
fumecheng-10736	98	20	stored	store	VERB
fumecheng-10736	98	21	strain	strain	NOUN
fumecheng-10736	98	22	energy	energy	NOUN
fumecheng-10736	98	23	u	u	NOUN
fumecheng-10736	98	24	is	be	AUX
fumecheng-10736	98	25	defined	define	VERB
fumecheng-10736	98	26	as	as	ADP
fumecheng-10736	98	27	[	[	X
fumecheng-10736	98	28	54	54	NUM
fumecheng-10736	98	29	]	]	SYM
fumecheng-10736	98	30	:	:	PUNCT
fumecheng-10736	98	31	1	1	NUM
fumecheng-10736	98	32	(	(	PUNCT
fumecheng-10736	98	33	)	)	PUNCT
fumecheng-10736	98	34	2	2	NUM
fumecheng-10736	98	35	l	l	NOUN
fumecheng-10736	98	36	ij	ij	INTJ
fumecheng-10736	98	37	ij	ij	INTJ
fumecheng-10736	98	38	ijk	ijk	PROPN
fumecheng-10736	98	39	ijk	ijk	PROPN
fumecheng-10736	99	1	ij	ij	INTJ
fumecheng-10736	99	2	ij	ij	NOUN
fumecheng-10736	99	3	v	v	NUM
fumecheng-10736	99	4	u	u	PROPN
fumecheng-10736	99	5	m	m	PROPN
fumecheng-10736	99	6	dv	dv	PROPN
fumecheng-10736	99	7			PROPN
fumecheng-10736	99	8			PROPN
fumecheng-10736	99	9			PROPN
fumecheng-10736	99	10			NOUN
fumecheng-10736	99	11	=	=	ADJ
fumecheng-10736	99	12	+	+	CCONJ
fumecheng-10736	99	13	+	+	ADJ
fumecheng-10736	99	14			X
fumecheng-10736	99	15	(	(	PUNCT
fumecheng-10736	99	16	2	2	NUM
fumecheng-10736	99	17	)	)	PUNCT
fumecheng-10736	99	18	where	where	SCONJ
fumecheng-10736	99	19	l	l	PROPN
fumecheng-10736	99	20	ij	ij	PROPN
fumecheng-10736	99	21	represents	represent	VERB
fumecheng-10736	99	22	the	the	DET
fumecheng-10736	99	23	cauchy	cauchy	ADJ
fumecheng-10736	99	24	stress	stress	NOUN
fumecheng-10736	99	25	tensor	tensor	NOUN
fumecheng-10736	99	26	and	and	CCONJ
fumecheng-10736	99	27	is	be	AUX
fumecheng-10736	99	28	the	the	DET
fumecheng-10736	99	29	conjugate	conjugate	ADJ
fumecheng-10736	99	30	-	-	PUNCT
fumecheng-10736	99	31	work	work	NOUN
fumecheng-10736	99	32	pair	pair	NOUN
fumecheng-10736	99	33	of	of	ADP
fumecheng-10736	99	34	the	the	DET
fumecheng-10736	99	35	strain	strain	NOUN
fumecheng-10736	99	36	tensor	tensor	NOUN
fumecheng-10736	99	37	εij	εij	NOUN
fumecheng-10736	99	38	;	;	PUNCT
fumecheng-10736	99	39	ijk	ijk	NOUN
fumecheng-10736	99	40			NOUN
fumecheng-10736	99	41	represents	represent	VERB
fumecheng-10736	99	42	the	the	DET
fumecheng-10736	99	43	symmetric	symmetric	ADJ
fumecheng-10736	99	44	part	part	NOUN
fumecheng-10736	99	45	of	of	ADP
fumecheng-10736	99	46	the	the	DET
fumecheng-10736	99	47	double	double	ADJ
fumecheng-10736	99	48	stress	stress	NOUN
fumecheng-10736	99	49	tensor	tensor	NOUN
fumecheng-10736	99	50	and	and	CCONJ
fumecheng-10736	99	51	is	be	AUX
fumecheng-10736	99	52	the	the	DET
fumecheng-10736	99	53	conjugatework	conjugatework	NOUN
fumecheng-10736	99	54	pair	pair	NOUN
fumecheng-10736	99	55	of	of	ADP
fumecheng-10736	99	56	the	the	DET
fumecheng-10736	99	57	strain	strain	NOUN
fumecheng-10736	99	58	gradient	gradient	NOUN
fumecheng-10736	99	59	tensor	tensor	NOUN
fumecheng-10736	99	60	ijk	ijk	PROPN
fumecheng-10736	99	61			NOUN
fumecheng-10736	99	62	;	;	PUNCT
fumecheng-10736	99	63	mij	mij	NOUN
fumecheng-10736	99	64	defines	define	VERB
fumecheng-10736	99	65	the	the	DET
fumecheng-10736	99	66	symmetric	symmetric	ADJ
fumecheng-10736	99	67	part	part	NOUN
fumecheng-10736	99	68	of	of	ADP
fumecheng-10736	99	69	the	the	DET
fumecheng-10736	99	70	couple	couple	NOUN
fumecheng-10736	99	71	-	-	PUNCT
fumecheng-10736	99	72	stress	stress	NOUN
fumecheng-10736	99	73	tensor	tensor	NOUN
fumecheng-10736	99	74	and	and	CCONJ
fumecheng-10736	99	75	is	be	AUX
fumecheng-10736	99	76	the	the	DET
fumecheng-10736	99	77	conjugate	conjugate	ADJ
fumecheng-10736	99	78	-	-	PUNCT
fumecheng-10736	99	79	work	work	NOUN
fumecheng-10736	99	80	pair	pair	NOUN
fumecheng-10736	99	81	of	of	ADP
fumecheng-10736	99	82	the	the	DET
fumecheng-10736	99	83	curvature	curvature	NOUN
fumecheng-10736	99	84	tensor	tensor	NOUN
fumecheng-10736	99	85	χij	χij	NOUN
fumecheng-10736	99	86	;	;	PUNCT
fumecheng-10736	99	87	and	and	CCONJ
fumecheng-10736	99	88	v	v	NOUN
fumecheng-10736	99	89	is	be	AUX
fumecheng-10736	99	90	the	the	DET
fumecheng-10736	99	91	volume	volume	NOUN
fumecheng-10736	99	92	of	of	ADP
fumecheng-10736	99	93	the	the	DET
fumecheng-10736	99	94	elastic	elastic	ADJ
fumecheng-10736	99	95	body	body	NOUN
fumecheng-10736	99	96	.	.	PUNCT
fumecheng-10736	100	1	it	it	PRON
fumecheng-10736	100	2	is	be	AUX
fumecheng-10736	100	3	worth	worth	ADJ
fumecheng-10736	100	4	mentioning	mention	VERB
fumecheng-10736	100	5	that	that	SCONJ
fumecheng-10736	100	6	the	the	DET
fumecheng-10736	100	7	stored	store	VERB
fumecheng-10736	100	8	strain	strain	NOUN
fumecheng-10736	100	9	energy	energy	NOUN
fumecheng-10736	100	10	u	u	NOUN
fumecheng-10736	100	11	of	of	ADP
fumecheng-10736	100	12	eq	eq	PROPN
fumecheng-10736	100	13	.	.	PUNCT
fumecheng-10736	101	1	(	(	PUNCT
fumecheng-10736	101	2	2	2	X
fumecheng-10736	101	3	)	)	PUNCT
fumecheng-10736	101	4	is	be	AUX
fumecheng-10736	101	5	identical	identical	ADJ
fumecheng-10736	101	6	to	to	ADP
fumecheng-10736	101	7	the	the	DET
fumecheng-10736	101	8	one	one	NOUN
fumecheng-10736	101	9	associated	associate	VERB
fumecheng-10736	101	10	with	with	ADP
fumecheng-10736	101	11	the	the	DET
fumecheng-10736	101	12	modified	modify	VERB
fumecheng-10736	101	13	couple	couple	NOUN
fumecheng-10736	101	14	-	-	PUNCT
fumecheng-10736	101	15	stress	stress	NOUN
fumecheng-10736	101	16	theory	theory	NOUN
fumecheng-10736	101	17	of	of	ADP
fumecheng-10736	101	18	yang	yang	PROPN
fumecheng-10736	101	19	et	et	PROPN
fumecheng-10736	101	20	al	al	PROPN
fumecheng-10736	101	21	.	.	PUNCT
fumecheng-10736	102	1	[	[	X
fumecheng-10736	102	2	29	29	NUM
fumecheng-10736	102	3	]	]	PUNCT
fumecheng-10736	102	4	when	when	SCONJ
fumecheng-10736	102	5	the	the	DET
fumecheng-10736	102	6	straingradient	straingradient	NOUN
fumecheng-10736	102	7	effect	effect	NOUN
fumecheng-10736	102	8	is	be	AUX
fumecheng-10736	102	9	neglected	neglect	VERB
fumecheng-10736	102	10	.	.	PUNCT
fumecheng-10736	103	1	in	in	ADP
fumecheng-10736	103	2	the	the	DET
fumecheng-10736	103	3	reformulated	reformulate	VERB
fumecheng-10736	103	4	strain	strain	NOUN
fumecheng-10736	103	5	-	-	PUNCT
fumecheng-10736	103	6	gradient	gradient	NOUN
fumecheng-10736	103	7	elasticity	elasticity	NOUN
fumecheng-10736	103	8	theory	theory	NOUN
fumecheng-10736	103	9	,	,	PUNCT
fumecheng-10736	103	10	the	the	DET
fumecheng-10736	103	11	constitutive	constitutive	ADJ
fumecheng-10736	103	12	relations	relation	NOUN
fumecheng-10736	103	13	between	between	ADP
fumecheng-10736	103	14	stress	stress	NOUN
fumecheng-10736	103	15	and	and	CCONJ
fumecheng-10736	103	16	strain	strain	ADJ
fumecheng-10736	103	17	quantities	quantity	NOUN
fumecheng-10736	103	18	are	be	AUX
fumecheng-10736	103	19	given	give	VERB
fumecheng-10736	103	20	by	by	ADP
fumecheng-10736	103	21	yin	yin	PROPN
fumecheng-10736	103	22	et	et	PROPN
fumecheng-10736	103	23	al	al	PROPN
fumecheng-10736	103	24	.	.	PUNCT
fumecheng-10736	104	1	[	[	X
fumecheng-10736	104	2	54	54	NUM
fumecheng-10736	104	3	]	]	PUNCT
fumecheng-10736	104	4	as	as	ADP
fumecheng-10736	104	5	:	:	PUNCT
fumecheng-10736	104	6	2l	2l	NUM
fumecheng-10736	104	7	ij	ij	INTJ
fumecheng-10736	104	8	kk	kk	INTJ
fumecheng-10736	104	9	ij	ij	INTJ
fumecheng-10736	104	10	ij	ij	ADV
fumecheng-10736	104	11			VERB
fumecheng-10736	104	12			NUM
fumecheng-10736	104	13	=	=	NOUN
fumecheng-10736	104	14	+	+	CCONJ
fumecheng-10736	104	15	(	(	PUNCT
fumecheng-10736	104	16	3	3	X
fumecheng-10736	104	17	)	)	PUNCT
fumecheng-10736	104	18	22ijk	22ijk	X
fumecheng-10736	104	19	s	s	PART
fumecheng-10736	104	20	ijkl	ijkl	NOUN
fumecheng-10736	104	21			NOUN
fumecheng-10736	104	22			VERB
fumecheng-10736	104	23	=	=	NUM
fumecheng-10736	104	24	(	(	PUNCT
fumecheng-10736	104	25	4	4	NUM
fumecheng-10736	104	26	)	)	PUNCT
fumecheng-10736	104	27	22ij	22ij	PROPN
fumecheng-10736	104	28	m	m	NOUN
fumecheng-10736	104	29	ijm	ijm	PROPN
fumecheng-10736	104	30	l	l	ADJ
fumecheng-10736	104	31	=	=	PROPN
fumecheng-10736	104	32	(	(	PUNCT
fumecheng-10736	104	33	5	5	NUM
fumecheng-10736	104	34	)	)	PUNCT
fumecheng-10736	104	35	where	where	SCONJ
fumecheng-10736	104	36	δij	δij	NOUN
fumecheng-10736	104	37	is	be	AUX
fumecheng-10736	104	38	the	the	DET
fumecheng-10736	104	39	kronecker	kronecker	NOUN
fumecheng-10736	104	40	delta	delta	NOUN
fumecheng-10736	104	41	;	;	PUNCT
fumecheng-10736	104	42	μ	μ	PROPN
fumecheng-10736	104	43	and	and	CCONJ
fumecheng-10736	104	44	λ	λ	PROPN
fumecheng-10736	104	45	are	be	AUX
fumecheng-10736	104	46	lame	lame	ADJ
fumecheng-10736	104	47	constants	constant	NOUN
fumecheng-10736	104	48	;	;	PUNCT
fumecheng-10736	104	49	and	and	CCONJ
fumecheng-10736	104	50	ls	ls	ADJ
fumecheng-10736	104	51	and	and	CCONJ
fumecheng-10736	104	52	lm	lm	INTJ
fumecheng-10736	104	53	are	be	AUX
fumecheng-10736	104	54	the	the	DET
fumecheng-10736	104	55	material	material	ADJ
fumecheng-10736	104	56	length	length	NOUN
fumecheng-10736	104	57	-	-	PUNCT
fumecheng-10736	104	58	scale	scale	NOUN
fumecheng-10736	104	59	parameters	parameter	NOUN
fumecheng-10736	104	60	associated	associate	VERB
fumecheng-10736	104	61	with	with	ADP
fumecheng-10736	104	62	the	the	DET
fumecheng-10736	104	63	stain	stain	NOUN
fumecheng-10736	104	64	-	-	PUNCT
fumecheng-10736	104	65	gradient	gradient	NOUN
fumecheng-10736	104	66	effect	effect	NOUN
fumecheng-10736	104	67	and	and	CCONJ
fumecheng-10736	104	68	the	the	DET
fumecheng-10736	104	69	couple	couple	NOUN
fumecheng-10736	104	70	-	-	PUNCT
fumecheng-10736	104	71	stress	stress	NOUN
fumecheng-10736	104	72	effect	effect	NOUN
fumecheng-10736	104	73	,	,	PUNCT
fumecheng-10736	104	74	respectively	respectively	ADV
fumecheng-10736	104	75	.	.	PUNCT
fumecheng-10736	105	1	the	the	DET
fumecheng-10736	105	2	strain	strain	NOUN
fumecheng-10736	105	3	εij	εij	NOUN
fumecheng-10736	105	4	and	and	CCONJ
fumecheng-10736	105	5	the	the	DET
fumecheng-10736	105	6	strain	strain	NOUN
fumecheng-10736	105	7	-	-	PUNCT
fumecheng-10736	105	8	gradient	gradient	NOUN
fumecheng-10736	105	9	measures	measure	NOUN
fumecheng-10736	105	10	ijk	ijk	PROPN
fumecheng-10736	105	11			NOUN
fumecheng-10736	105	12	,	,	PUNCT
fumecheng-10736	105	13	and	and	CCONJ
fumecheng-10736	105	14	χij	χij	PROPN
fumecheng-10736	105	15	are	be	AUX
fumecheng-10736	105	16	defined	define	VERB
fumecheng-10736	105	17	as	as	ADP
fumecheng-10736	105	18	:	:	PUNCT
fumecheng-10736	105	19	,	,	PUNCT
fumecheng-10736	105	20	,	,	PUNCT
fumecheng-10736	105	21	1	1	NUM
fumecheng-10736	106	1	(	(	PUNCT
fumecheng-10736	106	2	)	)	PUNCT
fumecheng-10736	106	3	2	2	NUM
fumecheng-10736	106	4	ij	ij	INTJ
fumecheng-10736	107	1	i	i	PRON
fumecheng-10736	107	2	j	j	PROPN
fumecheng-10736	107	3	j	j	PROPN
fumecheng-10736	107	4	iu	iu	ADP
fumecheng-10736	107	5	u	u	PROPN
fumecheng-10736	107	6	=	=	PROPN
fumecheng-10736	107	7	+	+	CCONJ
fumecheng-10736	107	8	(	(	PUNCT
fumecheng-10736	107	9	6	6	NUM
fumecheng-10736	107	10	)	)	PUNCT
fumecheng-10736	107	11	566	566	NUM
fumecheng-10736	107	12	s.	s.	PROPN
fumecheng-10736	107	13	limkatanyu	limkatanyu	PROPN
fumecheng-10736	107	14	,	,	PUNCT
fumecheng-10736	107	15	w.	w.	PROPN
fumecheng-10736	107	16	sae	sae	PROPN
fumecheng-10736	107	17	-	-	PROPN
fumecheng-10736	107	18	long	long	ADV
fumecheng-10736	107	19	,	,	PUNCT
fumecheng-10736	107	20	j.	j.	PROPN
fumecheng-10736	107	21	rungamornrat	rungamornrat	PROPN
fumecheng-10736	107	22	,	,	PUNCT
fumecheng-10736	107	23	et	et	PROPN
fumecheng-10736	107	24	al	al	PROPN
fumecheng-10736	107	25	.	.	PROPN
fumecheng-10736	107	26	,	,	PUNCT
fumecheng-10736	107	27	,	,	PUNCT
fumecheng-10736	107	28	,	,	PUNCT
fumecheng-10736	107	29	1	1	NUM
fumecheng-10736	107	30	(	(	PUNCT
fumecheng-10736	107	31	)	)	PUNCT
fumecheng-10736	107	32	3	3	NUM
fumecheng-10736	107	33	ijk	ijk	X
fumecheng-10736	108	1	i	i	PROPN
fumecheng-10736	108	2	jk	jk	PROPN
fumecheng-10736	109	1	j	j	PROPN
fumecheng-10736	109	2	ki	ki	PROPN
fumecheng-10736	109	3	k	k	PROPN
fumecheng-10736	109	4	iju	iju	PROPN
fumecheng-10736	109	5	u	u	PROPN
fumecheng-10736	109	6	u	u	VERB
fumecheng-10736	109	7	=	=	PUNCT
fumecheng-10736	110	1	+	+	CCONJ
fumecheng-10736	110	2	+	+	CCONJ
fumecheng-10736	110	3	(	(	PUNCT
fumecheng-10736	110	4	7	7	NUM
fumecheng-10736	110	5	)	)	PUNCT
fumecheng-10736	110	6	,	,	PUNCT
fumecheng-10736	110	7	,	,	PUNCT
fumecheng-10736	110	8	1	1	NUM
fumecheng-10736	110	9	(	(	PUNCT
fumecheng-10736	110	10	)	)	PUNCT
fumecheng-10736	110	11	2	2	NUM
fumecheng-10736	110	12	ij	ij	INTJ
fumecheng-10736	111	1	i	i	PRON
fumecheng-10736	111	2	j	j	PROPN
fumecheng-10736	111	3	j	j	PROPN
fumecheng-10736	111	4	i	i	VERB
fumecheng-10736	111	5			PROPN
fumecheng-10736	111	6	=	=	PROPN
fumecheng-10736	111	7	+	+	CCONJ
fumecheng-10736	111	8	(	(	PUNCT
fumecheng-10736	111	9	8)	8)	NUM
fumecheng-10736	111	10	where	where	SCONJ
fumecheng-10736	111	11	ui	ui	PROPN
fumecheng-10736	111	12	is	be	AUX
fumecheng-10736	111	13	the	the	DET
fumecheng-10736	111	14	displacement	displacement	ADJ
fumecheng-10736	111	15	field	field	NOUN
fumecheng-10736	111	16	;	;	PUNCT
fumecheng-10736	111	17	and	and	CCONJ
fumecheng-10736	111	18	θi	θi	X
fumecheng-10736	111	19	is	be	AUX
fumecheng-10736	111	20	the	the	DET
fumecheng-10736	111	21	rotation	rotation	NOUN
fumecheng-10736	111	22	vector	vector	NOUN
fumecheng-10736	111	23	defined	define	VERB
fumecheng-10736	111	24	as	as	ADP
fumecheng-10736	111	25	:	:	PUNCT
fumecheng-10736	111	26	,	,	PUNCT
fumecheng-10736	111	27	1	1	NUM
fumecheng-10736	111	28	2	2	NUM
fumecheng-10736	111	29	i	i	PROPN
fumecheng-10736	111	30	ijk	ijk	PROPN
fumecheng-10736	111	31	k	k	PROPN
fumecheng-10736	111	32	je	je	PROPN
fumecheng-10736	111	33	u	u	PROPN
fumecheng-10736	111	34	=	=	SYM
fumecheng-10736	111	35	(	(	PUNCT
fumecheng-10736	111	36	9	9	NUM
fumecheng-10736	111	37	)	)	PUNCT
fumecheng-10736	111	38	with	with	ADP
fumecheng-10736	111	39	eijk	eijk	NOUN
fumecheng-10736	111	40	being	be	AUX
fumecheng-10736	111	41	the	the	DET
fumecheng-10736	111	42	permutation	permutation	NOUN
fumecheng-10736	111	43	symbol	symbol	NOUN
fumecheng-10736	111	44	.	.	PUNCT
fumecheng-10736	112	1	4	4	X
fumecheng-10736	112	2	.	.	X
fumecheng-10736	112	3	surface	surface	NOUN
fumecheng-10736	112	4	elasticity	elasticity	NOUN
fumecheng-10736	112	5	theory	theory	NOUN
fumecheng-10736	112	6	as	as	SCONJ
fumecheng-10736	112	7	the	the	DET
fumecheng-10736	112	8	structural	structural	ADJ
fumecheng-10736	112	9	dimension	dimension	NOUN
fumecheng-10736	112	10	approaches	approach	VERB
fumecheng-10736	112	11	the	the	DET
fumecheng-10736	112	12	range	range	NOUN
fumecheng-10736	112	13	of	of	ADP
fumecheng-10736	112	14	nanometer	nanometer	NOUN
fumecheng-10736	112	15	,	,	PUNCT
fumecheng-10736	112	16	the	the	DET
fumecheng-10736	112	17	free	free	ADJ
fumecheng-10736	112	18	energy	energy	NOUN
fumecheng-10736	112	19	at	at	ADP
fumecheng-10736	112	20	the	the	DET
fumecheng-10736	112	21	surface	surface	NOUN
fumecheng-10736	112	22	of	of	ADP
fumecheng-10736	112	23	a	a	DET
fumecheng-10736	112	24	bulk	bulk	ADJ
fumecheng-10736	112	25	material	material	NOUN
fumecheng-10736	112	26	can	can	AUX
fumecheng-10736	112	27	no	no	ADV
fumecheng-10736	112	28	longer	long	ADV
fumecheng-10736	112	29	be	be	AUX
fumecheng-10736	112	30	neglected	neglect	VERB
fumecheng-10736	112	31	since	since	SCONJ
fumecheng-10736	112	32	it	it	PRON
fumecheng-10736	112	33	is	be	AUX
fumecheng-10736	112	34	comparable	comparable	ADJ
fumecheng-10736	112	35	to	to	ADP
fumecheng-10736	112	36	the	the	DET
fumecheng-10736	112	37	energy	energy	NOUN
fumecheng-10736	112	38	stored	store	VERB
fumecheng-10736	112	39	in	in	ADP
fumecheng-10736	112	40	the	the	DET
fumecheng-10736	112	41	bulk	bulk	ADJ
fumecheng-10736	112	42	material	material	NOUN
fumecheng-10736	112	43	.	.	PUNCT
fumecheng-10736	113	1	this	this	DET
fumecheng-10736	113	2	surface	surface	NOUN
fumecheng-10736	113	3	-	-	PUNCT
fumecheng-10736	113	4	free	free	ADJ
fumecheng-10736	113	5	energy	energy	NOUN
fumecheng-10736	113	6	induces	induce	VERB
fumecheng-10736	113	7	the	the	DET
fumecheng-10736	113	8	size	size	NOUN
fumecheng-10736	113	9	dependency	dependency	NOUN
fumecheng-10736	113	10	of	of	ADP
fumecheng-10736	113	11	nanosized	nanosized	ADJ
fumecheng-10736	113	12	structures	structure	NOUN
fumecheng-10736	113	13	as	as	SCONJ
fumecheng-10736	113	14	confirmed	confirm	VERB
fumecheng-10736	113	15	by	by	ADP
fumecheng-10736	113	16	both	both	DET
fumecheng-10736	113	17	experiments	experiment	NOUN
fumecheng-10736	113	18	and	and	CCONJ
fumecheng-10736	113	19	numerical	numerical	ADJ
fumecheng-10736	113	20	simulations	simulation	NOUN
fumecheng-10736	113	21	[	[	X
fumecheng-10736	113	22	36	36	NUM
fumecheng-10736	113	23	,	,	PUNCT
fumecheng-10736	113	24	57	57	NUM
fumecheng-10736	113	25	,	,	PUNCT
fumecheng-10736	113	26	72	72	NUM
fumecheng-10736	113	27	]	]	PUNCT
fumecheng-10736	113	28	.	.	PUNCT
fumecheng-10736	114	1	to	to	PART
fumecheng-10736	114	2	account	account	VERB
fumecheng-10736	114	3	for	for	ADP
fumecheng-10736	114	4	this	this	DET
fumecheng-10736	114	5	size	size	NOUN
fumecheng-10736	114	6	-	-	PUNCT
fumecheng-10736	114	7	dependent	dependent	ADJ
fumecheng-10736	114	8	characteristic	characteristic	NOUN
fumecheng-10736	114	9	,	,	PUNCT
fumecheng-10736	114	10	the	the	DET
fumecheng-10736	114	11	proposed	propose	VERB
fumecheng-10736	114	12	nanobeam	nanobeam	NOUN
fumecheng-10736	114	13	-	-	PUNCT
fumecheng-10736	114	14	substrate	substrate	NOUN
fumecheng-10736	114	15	medium	medium	NOUN
fumecheng-10736	114	16	model	model	NOUN
fumecheng-10736	114	17	employs	employ	VERB
fumecheng-10736	114	18	the	the	DET
fumecheng-10736	114	19	surface	surface	NOUN
fumecheng-10736	114	20	elasticity	elasticity	NOUN
fumecheng-10736	114	21	theory	theory	NOUN
fumecheng-10736	114	22	of	of	ADP
fumecheng-10736	114	23	gurtin	gurtin	NOUN
fumecheng-10736	114	24	and	and	CCONJ
fumecheng-10736	114	25	murdoch	murdoch	PROPN
fumecheng-10736	115	1	[	[	X
fumecheng-10736	115	2	32	32	NUM
fumecheng-10736	115	3	-	-	SYM
fumecheng-10736	115	4	33	33	NUM
fumecheng-10736	115	5	]	]	PUNCT
fumecheng-10736	115	6	.	.	PUNCT
fumecheng-10736	116	1	based	base	VERB
fumecheng-10736	116	2	on	on	ADP
fumecheng-10736	116	3	the	the	DET
fumecheng-10736	116	4	assumptions	assumption	NOUN
fumecheng-10736	116	5	of	of	ADP
fumecheng-10736	116	6	this	this	DET
fumecheng-10736	116	7	surface	surface	NOUN
fumecheng-10736	116	8	elasticity	elasticity	NOUN
fumecheng-10736	116	9	theory	theory	NOUN
fumecheng-10736	116	10	[	[	X
fumecheng-10736	116	11	32	32	NUM
fumecheng-10736	116	12	-	-	SYM
fumecheng-10736	116	13	33	33	NUM
fumecheng-10736	116	14	]	]	PUNCT
fumecheng-10736	116	15	,	,	PUNCT
fumecheng-10736	116	16	the	the	DET
fumecheng-10736	116	17	beam	beam	PROPN
fumecheng-10736	116	18	cross	cross	PROPN
fumecheng-10736	116	19	section	section	PROPN
fumecheng-10736	116	20	is	be	AUX
fumecheng-10736	116	21	assumed	assume	VERB
fumecheng-10736	116	22	to	to	PART
fumecheng-10736	116	23	be	be	AUX
fumecheng-10736	116	24	composed	compose	VERB
fumecheng-10736	116	25	of	of	ADP
fumecheng-10736	116	26	a	a	DET
fumecheng-10736	116	27	bulk	bulk	ADJ
fumecheng-10736	116	28	core	core	NOUN
fumecheng-10736	116	29	and	and	CCONJ
fumecheng-10736	116	30	a	a	DET
fumecheng-10736	116	31	wrapping	wrap	VERB
fumecheng-10736	116	32	outer	outer	ADJ
fumecheng-10736	116	33	surface	surface	NOUN
fumecheng-10736	116	34	layer	layer	NOUN
fumecheng-10736	116	35	shown	show	VERB
fumecheng-10736	116	36	in	in	ADP
fumecheng-10736	116	37	fig	fig	NOUN
fumecheng-10736	116	38	.	.	PUNCT
fumecheng-10736	117	1	1	1	X
fumecheng-10736	117	2	.	.	X
fumecheng-10736	117	3	the	the	DET
fumecheng-10736	117	4	bulk	bulk	NOUN
fumecheng-10736	117	5	core	core	NOUN
fumecheng-10736	117	6	and	and	CCONJ
fumecheng-10736	117	7	its	its	PRON
fumecheng-10736	117	8	wrapping	wrap	VERB
fumecheng-10736	117	9	outer	outer	ADJ
fumecheng-10736	117	10	surface	surface	NOUN
fumecheng-10736	117	11	layer	layer	NOUN
fumecheng-10736	117	12	are	be	AUX
fumecheng-10736	117	13	assumed	assume	VERB
fumecheng-10736	117	14	to	to	PART
fumecheng-10736	117	15	be	be	AUX
fumecheng-10736	117	16	in	in	ADP
fumecheng-10736	117	17	a	a	DET
fumecheng-10736	117	18	perfect	perfect	ADJ
fumecheng-10736	117	19	bond	bond	NOUN
fumecheng-10736	117	20	condition	condition	NOUN
fumecheng-10736	117	21	.	.	PUNCT
fumecheng-10736	118	1	the	the	DET
fumecheng-10736	118	2	wrapping	wrap	VERB
fumecheng-10736	118	3	outer	outer	ADJ
fumecheng-10736	118	4	surface	surface	NOUN
fumecheng-10736	118	5	layer	layer	NOUN
fumecheng-10736	118	6	is	be	AUX
fumecheng-10736	118	7	taken	take	VERB
fumecheng-10736	118	8	as	as	ADP
fumecheng-10736	118	9	a	a	DET
fumecheng-10736	118	10	mathematically	mathematically	ADV
fumecheng-10736	118	11	zero	zero	NUM
fumecheng-10736	118	12	-	-	PUNCT
fumecheng-10736	118	13	thickness	thickness	NOUN
fumecheng-10736	118	14	elastic	elastic	ADJ
fumecheng-10736	118	15	layer	layer	NOUN
fumecheng-10736	118	16	.	.	PUNCT
fumecheng-10736	119	1	the	the	DET
fumecheng-10736	119	2	constitutive	constitutive	ADJ
fumecheng-10736	119	3	relations	relation	NOUN
fumecheng-10736	119	4	of	of	ADP
fumecheng-10736	119	5	the	the	DET
fumecheng-10736	119	6	surface	surface	NOUN
fumecheng-10736	119	7	layer	layer	NOUN
fumecheng-10736	119	8	are	be	AUX
fumecheng-10736	119	9	:	:	PUNCT
fumecheng-10736	119	10	0	0	NUM
fumecheng-10736	119	11	0	0	NUM
fumecheng-10736	119	12	,	,	PUNCT
fumecheng-10736	119	13	0	0	NUM
fumecheng-10736	119	14	,	,	PUNCT
fumecheng-10736	119	15	,	,	PUNCT
fumecheng-10736	119	16	,	,	PUNCT
fumecheng-10736	119	17	[	[	PUNCT
fumecheng-10736	119	18	(	(	PUNCT
fumecheng-10736	119	19	)	)	PUNCT
fumecheng-10736	119	20	]	]	PUNCT
fumecheng-10736	119	21	(	(	PUNCT
fumecheng-10736	119	22	)	)	PUNCT
fumecheng-10736	119	23	sur	sur	PROPN
fumecheng-10736	119	24	sur	sur	PROPN
fumecheng-10736	119	25	sur	sur	PROPN
fumecheng-10736	119	26	sur	sur	PROPN
fumecheng-10736	119	27	sur	sur	PROPN
fumecheng-10736	119	28	sur	sur	PROPN
fumecheng-10736	119	29	sur	sur	PROPN
fumecheng-10736	119	30	sur	sur	PROPN
fumecheng-10736	119	31	sur	sur	PROPN
fumecheng-10736	119	32	sur	sur	PROPN
fumecheng-10736	119	33	res	res	PROPN
fumecheng-10736	119	34	resu	resu	PROPN
fumecheng-10736	119	35	u	u	PROPN
fumecheng-10736	119	36	u	u	NOUN
fumecheng-10736	119	37	u	u	NOUN
fumecheng-10736	119	38			NUM
fumecheng-10736	119	39			NUM
fumecheng-10736	119	40			ADJ
fumecheng-10736	119	41			NUM
fumecheng-10736	119	42			PROPN
fumecheng-10736	119	43			PROPN
fumecheng-10736	119	44			NUM
fumecheng-10736	119	45			PROPN
fumecheng-10736	119	46			NOUN
fumecheng-10736	119	47			PROPN
fumecheng-10736	119	48			ADJ
fumecheng-10736	119	49			NOUN
fumecheng-10736	119	50			NUM
fumecheng-10736	119	51			NOUN
fumecheng-10736	119	52	=	=	NOUN
fumecheng-10736	119	53	+	+	X
fumecheng-10736	120	1	+	+	PUNCT
fumecheng-10736	120	2	+	+	CCONJ
fumecheng-10736	120	3	+	+	NUM
fumecheng-10736	120	4	−	−	PROPN
fumecheng-10736	120	5	(	(	PUNCT
fumecheng-10736	120	6	10	10	NUM
fumecheng-10736	120	7	)	)	PUNCT
fumecheng-10736	120	8	,	,	PUNCT
fumecheng-10736	120	9	sur	sur	PROPN
fumecheng-10736	120	10	sur	sur	PROPN
fumecheng-10736	120	11	sur	sur	PROPN
fumecheng-10736	120	12	n	n	PROPN
fumecheng-10736	120	13	res	re	NOUN
fumecheng-10736	120	14	nu	nu	NOUN
fumecheng-10736	120	15			X
fumecheng-10736	120	16	=	=	NOUN
fumecheng-10736	120	17	(	(	PUNCT
fumecheng-10736	120	18	11	11	NUM
fumecheng-10736	120	19	)	)	PUNCT
fumecheng-10736	120	20	where	where	SCONJ
fumecheng-10736	120	21	sur	sur	PROPN
fumecheng-10736	120	22			PROPN
fumecheng-10736	120	23	and	and	CCONJ
fumecheng-10736	120	24	sur	sur	PROPN
fumecheng-10736	120	25	n	n	PROPN
fumecheng-10736	120	26	are	be	AUX
fumecheng-10736	120	27	,	,	PUNCT
fumecheng-10736	120	28	respectively	respectively	ADV
fumecheng-10736	120	29	,	,	PUNCT
fumecheng-10736	120	30	the	the	DET
fumecheng-10736	120	31	in	in	NOUN
fumecheng-10736	120	32	-	-	PUNCT
fumecheng-10736	120	33	plane	plane	NOUN
fumecheng-10736	120	34	and	and	CCONJ
fumecheng-10736	120	35	out	out	ADP
fumecheng-10736	120	36	-	-	PUNCT
fumecheng-10736	120	37	of	of	ADP
fumecheng-10736	120	38	-	-	PUNCT
fumecheng-10736	120	39	plane	plane	NOUN
fumecheng-10736	120	40	components	component	NOUN
fumecheng-10736	120	41	of	of	ADP
fumecheng-10736	120	42	the	the	DET
fumecheng-10736	120	43	surface	surface	NOUN
fumecheng-10736	120	44	stresses	stress	NOUN
fumecheng-10736	120	45	;	;	PUNCT
fumecheng-10736	120	46	sur	sur	PROPN
fumecheng-10736	120	47	res	res	PROPN
fumecheng-10736	120	48	is	be	AUX
fumecheng-10736	120	49	the	the	DET
fumecheng-10736	120	50	residual	residual	ADJ
fumecheng-10736	120	51	surface	surface	NOUN
fumecheng-10736	120	52	stress	stress	NOUN
fumecheng-10736	120	53	under	under	ADP
fumecheng-10736	120	54	unconstrained	unconstrained	ADJ
fumecheng-10736	120	55	conditions	condition	NOUN
fumecheng-10736	120	56	obtained	obtain	VERB
fumecheng-10736	120	57	from	from	ADP
fumecheng-10736	120	58	the	the	DET
fumecheng-10736	120	59	atomistic	atomistic	ADJ
fumecheng-10736	120	60	simulation	simulation	NOUN
fumecheng-10736	120	61	[	[	X
fumecheng-10736	120	62	72	72	NUM
fumecheng-10736	120	63	]	]	X
fumecheng-10736	120	64	;	;	PUNCT
fumecheng-10736	120	65	α	α	PROPN
fumecheng-10736	120	66	and	and	CCONJ
fumecheng-10736	120	67	β	β	X
fumecheng-10736	120	68	are	be	AUX
fumecheng-10736	120	69	the	the	DET
fumecheng-10736	120	70	in	in	ADP
fumecheng-10736	120	71	-	-	PUNCT
fumecheng-10736	120	72	plane	plane	NOUN
fumecheng-10736	120	73	cartesian	cartesian	ADJ
fumecheng-10736	120	74	coordinates	coordinate	NOUN
fumecheng-10736	120	75	of	of	ADP
fumecheng-10736	120	76	the	the	DET
fumecheng-10736	120	77	lateral	lateral	ADJ
fumecheng-10736	120	78	surface	surface	NOUN
fumecheng-10736	120	79	for	for	ADP
fumecheng-10736	120	80	the	the	DET
fumecheng-10736	120	81	nanobeam	nanobeam	NOUN
fumecheng-10736	120	82	;	;	PUNCT
fumecheng-10736	120	83	usur	usur	PROPN
fumecheng-10736	120	84	is	be	AUX
fumecheng-10736	120	85	the	the	DET
fumecheng-10736	120	86	surface	surface	NOUN
fumecheng-10736	120	87	-	-	PUNCT
fumecheng-10736	120	88	layer	layer	NOUN
fumecheng-10736	120	89	deformation	deformation	NOUN
fumecheng-10736	120	90	;	;	PUNCT
fumecheng-10736	120	91	and	and	CCONJ
fumecheng-10736	120	92	0	0	NUM
fumecheng-10736	120	93	sur	sur	NUM
fumecheng-10736	120	94	and	and	CCONJ
fumecheng-10736	120	95	0	0	NUM
fumecheng-10736	120	96	sur	sur	NOUN
fumecheng-10736	120	97	are	be	AUX
fumecheng-10736	120	98	the	the	DET
fumecheng-10736	120	99	surface	surface	NOUN
fumecheng-10736	120	100	elastic	elastic	ADJ
fumecheng-10736	120	101	constants	constant	NOUN
fumecheng-10736	120	102	.	.	PUNCT
fumecheng-10736	121	1	d	d	X
fumecheng-10736	121	2	b	b	X
fumecheng-10736	121	3	hz	hz	PROPN
fumecheng-10736	121	4	z	z	PROPN
fumecheng-10736	121	5	y	y	PROPN
fumecheng-10736	121	6	y	y	PROPN
fumecheng-10736	121	7	n	n	PROPN
fumecheng-10736	121	8	t	t	X
fumecheng-10736	121	9	nsurface	nsurface	NOUN
fumecheng-10736	121	10	layer	layer	NOUN
fumecheng-10736	121	11	t	t	PROPN
fumecheng-10736	121	12	bulk	bulk	ADJ
fumecheng-10736	121	13	bulk	bulk	ADJ
fumecheng-10736	121	14	fig	fig	NOUN
fumecheng-10736	121	15	.	.	PUNCT
fumecheng-10736	122	1	1	1	NUM
fumecheng-10736	122	2	beam	beam	NOUN
fumecheng-10736	122	3	cross	cross	NOUN
fumecheng-10736	122	4	-	-	NOUN
fumecheng-10736	122	5	sections	section	NOUN
fumecheng-10736	122	6	:	:	PUNCT
fumecheng-10736	122	7	beam	beam	NOUN
fumecheng-10736	122	8	bulk	bulk	NOUN
fumecheng-10736	122	9	and	and	CCONJ
fumecheng-10736	122	10	surface	surface	NOUN
fumecheng-10736	122	11	layer	layer	NOUN
fumecheng-10736	122	12	[	[	X
fumecheng-10736	122	13	32	32	NUM
fumecheng-10736	122	14	-	-	SYM
fumecheng-10736	122	15	33	33	NUM
fumecheng-10736	122	16	]	]	PUNCT
fumecheng-10736	122	17	bending	bending	NOUN
fumecheng-10736	122	18	,	,	PUNCT
fumecheng-10736	122	19	buckling	buckling	NOUN
fumecheng-10736	122	20	,	,	PUNCT
fumecheng-10736	122	21	and	and	CCONJ
fumecheng-10736	122	22	free	free	ADJ
fumecheng-10736	122	23	vibration	vibration	NOUN
fumecheng-10736	122	24	analyses	analysis	NOUN
fumecheng-10736	122	25	of	of	ADP
fumecheng-10736	122	26	nanobeam	nanobeam	ADJ
fumecheng-10736	122	27	-	-	PUNCT
fumecheng-10736	122	28	substrate	substrate	NOUN
fumecheng-10736	122	29	medium	medium	NOUN
fumecheng-10736	122	30	systems	system	NOUN
fumecheng-10736	122	31	567	567	NUM
fumecheng-10736	122	32	5	5	NUM
fumecheng-10736	122	33	.	.	PUNCT
fumecheng-10736	122	34	nanobeam	nanobeam	ADJ
fumecheng-10736	122	35	-	-	PUNCT
fumecheng-10736	122	36	substrate	substrate	NOUN
fumecheng-10736	122	37	medium	medium	ADJ
fumecheng-10736	122	38	interaction	interaction	NOUN
fumecheng-10736	122	39	in	in	ADP
fumecheng-10736	122	40	the	the	DET
fumecheng-10736	122	41	present	present	ADJ
fumecheng-10736	122	42	work	work	NOUN
fumecheng-10736	122	43	,	,	PUNCT
fumecheng-10736	122	44	the	the	DET
fumecheng-10736	122	45	interaction	interaction	NOUN
fumecheng-10736	122	46	between	between	ADP
fumecheng-10736	122	47	the	the	DET
fumecheng-10736	122	48	nanobeam	nanobeam	NOUN
fumecheng-10736	122	49	and	and	CCONJ
fumecheng-10736	122	50	its	its	PRON
fumecheng-10736	122	51	underlying	underlie	VERB
fumecheng-10736	122	52	substrate	substrate	NOUN
fumecheng-10736	122	53	medium	medium	NOUN
fumecheng-10736	122	54	shown	show	VERB
fumecheng-10736	122	55	in	in	ADP
fumecheng-10736	122	56	fig	fig	NOUN
fumecheng-10736	122	57	.	.	PUNCT
fumecheng-10736	123	1	2(a	2(a	NUM
fumecheng-10736	123	2	)	)	PUNCT
fumecheng-10736	123	3	is	be	AUX
fumecheng-10736	123	4	simulated	simulate	VERB
fumecheng-10736	123	5	based	base	VERB
fumecheng-10736	123	6	on	on	ADP
fumecheng-10736	123	7	the	the	DET
fumecheng-10736	123	8	concept	concept	NOUN
fumecheng-10736	123	9	of	of	ADP
fumecheng-10736	123	10	the	the	DET
fumecheng-10736	123	11	winkler	winkler	PROPN
fumecheng-10736	123	12	foundation	foundation	PROPN
fumecheng-10736	123	13	model	model	NOUN
fumecheng-10736	124	1	[	[	X
fumecheng-10736	124	2	73	73	NUM
fumecheng-10736	124	3	]	]	PUNCT
fumecheng-10736	124	4	.	.	PUNCT
fumecheng-10736	125	1	following	follow	VERB
fumecheng-10736	125	2	this	this	DET
fumecheng-10736	125	3	foundation	foundation	NOUN
fumecheng-10736	125	4	concept	concept	NOUN
fumecheng-10736	125	5	,	,	PUNCT
fumecheng-10736	125	6	the	the	DET
fumecheng-10736	125	7	interactive	interactive	ADJ
fumecheng-10736	125	8	mechanism	mechanism	NOUN
fumecheng-10736	125	9	of	of	ADP
fumecheng-10736	125	10	the	the	DET
fumecheng-10736	125	11	underlying	underlie	VERB
fumecheng-10736	125	12	substrate	substrate	NOUN
fumecheng-10736	125	13	medium	medium	NOUN
fumecheng-10736	125	14	is	be	AUX
fumecheng-10736	125	15	represented	represent	VERB
fumecheng-10736	125	16	by	by	ADP
fumecheng-10736	125	17	a	a	DET
fumecheng-10736	125	18	set	set	NOUN
fumecheng-10736	125	19	of	of	ADP
fumecheng-10736	125	20	continuously	continuously	ADV
fumecheng-10736	125	21	distributed	distribute	VERB
fumecheng-10736	125	22	and	and	CCONJ
fumecheng-10736	125	23	non	non	ADJ
fumecheng-10736	125	24	-	-	ADJ
fumecheng-10736	125	25	interconnected	interconnected	ADJ
fumecheng-10736	125	26	springs	spring	NOUN
fumecheng-10736	125	27	attached	attach	VERB
fumecheng-10736	125	28	along	along	ADP
fumecheng-10736	125	29	the	the	DET
fumecheng-10736	125	30	nanobeam	nanobeam	ADJ
fumecheng-10736	125	31	length	length	NOUN
fumecheng-10736	125	32	shown	show	VERB
fumecheng-10736	125	33	in	in	ADP
fumecheng-10736	125	34	fig	fig	NOUN
fumecheng-10736	125	35	.	.	PUNCT
fumecheng-10736	126	1	2(b	2(b	NUM
fumecheng-10736	126	2	)	)	PUNCT
fumecheng-10736	126	3	.	.	PUNCT
fumecheng-10736	127	1	the	the	DET
fumecheng-10736	127	2	relation	relation	NOUN
fumecheng-10736	127	3	between	between	ADP
fumecheng-10736	127	4	the	the	DET
fumecheng-10736	127	5	substrate	substrate	NOUN
fumecheng-10736	127	6	-	-	PUNCT
fumecheng-10736	127	7	medium	medium	NOUN
fumecheng-10736	127	8	interactive	interactive	ADJ
fumecheng-10736	127	9	force	force	NOUN
fumecheng-10736	127	10	des(x	des(x	PROPN
fumecheng-10736	127	11	)	)	PUNCT
fumecheng-10736	127	12	and	and	CCONJ
fumecheng-10736	127	13	the	the	DET
fumecheng-10736	127	14	substrate	substrate	NOUN
fumecheng-10736	127	15	-	-	PUNCT
fumecheng-10736	127	16	medium	medium	NOUN
fumecheng-10736	127	17	deformation	deformation	NOUN
fumecheng-10736	127	18	δes(x	δes(x	PROPN
fumecheng-10736	127	19	)	)	PUNCT
fumecheng-10736	127	20	is	be	AUX
fumecheng-10736	127	21	:	:	PUNCT
fumecheng-10736	127	22	(	(	PUNCT
fumecheng-10736	127	23	)	)	PUNCT
fumecheng-10736	127	24	(	(	PUNCT
fumecheng-10736	127	25	)	)	PUNCT
fumecheng-10736	127	26	es	es	NOUN
fumecheng-10736	127	27	es	es	X
fumecheng-10736	127	28	esd	esd	PROPN
fumecheng-10736	127	29	x	x	PUNCT
fumecheng-10736	127	30	k	k	PROPN
fumecheng-10736	127	31	x=	x=	PROPN
fumecheng-10736	127	32			PROPN
fumecheng-10736	128	1	(	(	PUNCT
fumecheng-10736	128	2	12	12	NUM
fumecheng-10736	128	3	)	)	PUNCT
fumecheng-10736	128	4	where	where	SCONJ
fumecheng-10736	128	5	kes	kes	PROPN
fumecheng-10736	128	6	is	be	AUX
fumecheng-10736	128	7	the	the	DET
fumecheng-10736	128	8	elastic	elastic	ADJ
fumecheng-10736	128	9	modulus	modulus	NOUN
fumecheng-10736	128	10	of	of	ADP
fumecheng-10736	128	11	the	the	DET
fumecheng-10736	128	12	substrate	substrate	NOUN
fumecheng-10736	128	13	medium	medium	NOUN
fumecheng-10736	128	14	.	.	PUNCT
fumecheng-10736	129	1	x	x	PUNCT
fumecheng-10736	129	2	l	l	NOUN
fumecheng-10736	129	3	elastic	elastic	ADJ
fumecheng-10736	129	4	substrate	substrate	NOUN
fumecheng-10736	129	5	medium	medium	NOUN
fumecheng-10736	129	6	(	(	PUNCT
fumecheng-10736	129	7	)	)	PUNCT
fumecheng-10736	129	8	0,y	0,y	NOUN
fumecheng-10736	129	9	v	v	NOUN
fumecheng-10736	129	10	x	x	SYM
fumecheng-10736	129	11	(	(	PUNCT
fumecheng-10736	129	12	)	)	PUNCT
fumecheng-10736	129	13	yq	yq	NOUN
fumecheng-10736	129	14	x	x	PUNCT
fumecheng-10736	129	15	surface	surface	NOUN
fumecheng-10736	129	16	layer	layer	NOUN
fumecheng-10736	129	17	beam	beam	NOUN
fumecheng-10736	129	18	-	-	PUNCT
fumecheng-10736	129	19	bulk	bulk	ADJ
fumecheng-10736	129	20	4	4	NUM
fumecheng-10736	129	21	4,p	4,p	NUM
fumecheng-10736	129	22	u	u	NOUN
fumecheng-10736	129	23	1	1	NUM
fumecheng-10736	129	24	1,p	1,p	PROPN
fumecheng-10736	129	25	u	u	PROPN
fumecheng-10736	129	26	esk	esk	PROPN
fumecheng-10736	129	27	beam	beam	NOUN
fumecheng-10736	129	28	(	(	PUNCT
fumecheng-10736	129	29	)	)	PUNCT
fumecheng-10736	129	30	0,y	0,y	NOUN
fumecheng-10736	130	1	v	v	NOUN
fumecheng-10736	130	2	x	x	SYM
fumecheng-10736	130	3	x	x	SYM
fumecheng-10736	130	4	5	5	NUM
fumecheng-10736	130	5	5,p	5,p	NUM
fumecheng-10736	130	6	u	u	NOUN
fumecheng-10736	130	7	2	2	NUM
fumecheng-10736	130	8	2,p	2,p	NUM
fumecheng-10736	130	9	u	u	NOUN
fumecheng-10736	131	1			NOUN
fumecheng-10736	131	2	1	1	NOUN
fumecheng-10736	131	3	2	2	NUM
fumecheng-10736	131	4	3	3	NUM
fumecheng-10736	131	5	4	4	NUM
fumecheng-10736	131	6	5	5	NUM
fumecheng-10736	131	7	6	6	NUM
fumecheng-10736	131	8	t	t	NOUN
fumecheng-10736	132	1	p	p	NOUN
fumecheng-10736	133	1	p	p	PROPN
fumecheng-10736	134	1	p	p	PROPN
fumecheng-10736	135	1	p	p	X
fumecheng-10736	135	2	p	p	NOUN
fumecheng-10736	135	3	p	p	X
fumecheng-10736	135	4	=	=	NOUN
fumecheng-10736	135	5	p	p	X
fumecheng-10736	135	6			NOUN
fumecheng-10736	135	7	1	1	NOUN
fumecheng-10736	135	8	2	2	NUM
fumecheng-10736	135	9	3	3	NUM
fumecheng-10736	135	10	4	4	NUM
fumecheng-10736	135	11	5	5	NUM
fumecheng-10736	135	12	6	6	NUM
fumecheng-10736	135	13	t	t	NOUN
fumecheng-10736	135	14	u	u	NOUN
fumecheng-10736	135	15	u	u	X
fumecheng-10736	135	16	u	u	X
fumecheng-10736	135	17	u	u	X
fumecheng-10736	135	18	u	u	NOUN
fumecheng-10736	135	19	u	u	NOUN
fumecheng-10736	135	20	=	=	NOUN
fumecheng-10736	135	21	u	u	ADJ
fumecheng-10736	135	22	elastic	elastic	ADJ
fumecheng-10736	135	23	substrate	substrate	NOUN
fumecheng-10736	135	24	-	-	PUNCT
fumecheng-10736	135	25	medium	medium	NOUN
fumecheng-10736	135	26	springs	spring	NOUN
fumecheng-10736	135	27	3	3	NUM
fumecheng-10736	135	28	3,p	3,p	NUM
fumecheng-10736	135	29	u	u	NOUN
fumecheng-10736	135	30	6	6	NUM
fumecheng-10736	135	31	6,p	6,p	NUM
fumecheng-10736	135	32	u	u	NOUN
fumecheng-10736	135	33	(	(	PUNCT
fumecheng-10736	135	34	a	a	NOUN
fumecheng-10736	135	35	)	)	PUNCT
fumecheng-10736	135	36	(	(	PUNCT
fumecheng-10736	135	37	b	b	X
fumecheng-10736	135	38	)	)	PUNCT
fumecheng-10736	135	39	fig	fig	NOUN
fumecheng-10736	135	40	.	.	PUNCT
fumecheng-10736	136	1	2	2	NUM
fumecheng-10736	136	2	typical	typical	ADJ
fumecheng-10736	136	3	systems	system	NOUN
fumecheng-10736	136	4	:	:	PUNCT
fumecheng-10736	136	5	(	(	PUNCT
fumecheng-10736	136	6	a	a	X
fumecheng-10736	136	7	)	)	PUNCT
fumecheng-10736	136	8	nanobeam	nanobeam	NOUN
fumecheng-10736	136	9	resting	rest	VERB
fumecheng-10736	136	10	on	on	ADP
fumecheng-10736	136	11	elastic	elastic	ADJ
fumecheng-10736	136	12	substrate	substrate	NOUN
fumecheng-10736	136	13	medium	medium	NOUN
fumecheng-10736	136	14	;	;	PUNCT
fumecheng-10736	136	15	and	and	CCONJ
fumecheng-10736	136	16	(	(	PUNCT
fumecheng-10736	136	17	b	b	X
fumecheng-10736	136	18	)	)	PUNCT
fumecheng-10736	136	19	beamsubstrate	beamsubstrate	ADJ
fumecheng-10736	136	20	medium	medium	ADJ
fumecheng-10736	136	21	model	model	NOUN
fumecheng-10736	136	22	6	6	NUM
fumecheng-10736	136	23	.	.	PUNCT
fumecheng-10736	136	24	reformulated	reformulate	VERB
fumecheng-10736	136	25	strain	strain	NOUN
fumecheng-10736	136	26	-	-	PUNCT
fumecheng-10736	136	27	gradient	gradient	NOUN
fumecheng-10736	136	28	nanobeam	nanobeam	NOUN
fumecheng-10736	136	29	-	-	PUNCT
fumecheng-10736	136	30	substrate	substrate	NOUN
fumecheng-10736	136	31	medium	medium	ADJ
fumecheng-10736	136	32	model	model	NOUN
fumecheng-10736	136	33	6.1	6.1	NUM
fumecheng-10736	136	34	.	.	PUNCT
fumecheng-10736	137	1	compatibility	compatibility	NOUN
fumecheng-10736	137	2	conditions	condition	NOUN
fumecheng-10736	137	3	and	and	CCONJ
fumecheng-10736	137	4	constitutive	constitutive	ADJ
fumecheng-10736	137	5	relations	relation	NOUN
fumecheng-10736	137	6	6.1.1	6.1.1	PROPN
fumecheng-10736	137	7	.	.	PUNCT
fumecheng-10736	138	1	beam	beam	NOUN
fumecheng-10736	138	2	bulk	bulk	NOUN
fumecheng-10736	138	3	in	in	ADP
fumecheng-10736	138	4	the	the	DET
fumecheng-10736	138	5	case	case	NOUN
fumecheng-10736	138	6	of	of	ADP
fumecheng-10736	138	7	the	the	DET
fumecheng-10736	138	8	planar	planar	ADJ
fumecheng-10736	138	9	euler	euler	PROPN
fumecheng-10736	138	10	-	-	PUNCT
fumecheng-10736	138	11	bernoulli	bernoulli	PROPN
fumecheng-10736	138	12	beam	beam	NOUN
fumecheng-10736	138	13	problem	problem	NOUN
fumecheng-10736	138	14	,	,	PUNCT
fumecheng-10736	138	15	the	the	DET
fumecheng-10736	138	16	transverse	transverse	ADJ
fumecheng-10736	138	17	displacement	displacement	NOUN
fumecheng-10736	138	18	v0(x	v0(x	PROPN
fumecheng-10736	138	19	,	,	PUNCT
fumecheng-10736	138	20	t	t	PROPN
fumecheng-10736	138	21	)	)	PUNCT
fumecheng-10736	138	22	serves	serve	VERB
fumecheng-10736	138	23	as	as	ADP
fumecheng-10736	138	24	a	a	DET
fumecheng-10736	138	25	primary	primary	ADJ
fumecheng-10736	138	26	variable	variable	NOUN
fumecheng-10736	138	27	and	and	CCONJ
fumecheng-10736	138	28	is	be	AUX
fumecheng-10736	138	29	a	a	DET
fumecheng-10736	138	30	function	function	NOUN
fumecheng-10736	138	31	of	of	ADP
fumecheng-10736	138	32	the	the	DET
fumecheng-10736	138	33	spatial	spatial	ADJ
fumecheng-10736	138	34	variable	variable	NOUN
fumecheng-10736	138	35	x	x	X
fumecheng-10736	138	36	and	and	CCONJ
fumecheng-10736	138	37	the	the	DET
fumecheng-10736	138	38	temporal	temporal	ADJ
fumecheng-10736	138	39	variable	variable	NOUN
fumecheng-10736	138	40	t	t	PROPN
fumecheng-10736	138	41	since	since	SCONJ
fumecheng-10736	138	42	both	both	CCONJ
fumecheng-10736	138	43	static	static	ADJ
fumecheng-10736	138	44	and	and	CCONJ
fumecheng-10736	138	45	free	free	ADJ
fumecheng-10736	138	46	vibration	vibration	NOUN
fumecheng-10736	138	47	responses	response	NOUN
fumecheng-10736	138	48	of	of	ADP
fumecheng-10736	138	49	nanobeam	nanobeam	ADJ
fumecheng-10736	138	50	-	-	PUNCT
fumecheng-10736	138	51	substrate	substrate	NOUN
fumecheng-10736	138	52	medium	medium	NOUN
fumecheng-10736	138	53	systems	system	NOUN
fumecheng-10736	138	54	are	be	AUX
fumecheng-10736	138	55	of	of	ADP
fumecheng-10736	138	56	interest	interest	NOUN
fumecheng-10736	138	57	.	.	PUNCT
fumecheng-10736	139	1	based	base	VERB
fumecheng-10736	139	2	on	on	ADP
fumecheng-10736	139	3	the	the	DET
fumecheng-10736	139	4	beam	beam	NOUN
fumecheng-10736	139	5	kinematics	kinematic	NOUN
fumecheng-10736	139	6	of	of	ADP
fumecheng-10736	139	7	eq	eq	PROPN
fumecheng-10736	139	8	.	.	PUNCT
fumecheng-10736	140	1	(	(	PUNCT
fumecheng-10736	140	2	1	1	NUM
fumecheng-10736	140	3	)	)	PUNCT
fumecheng-10736	140	4	,	,	PUNCT
fumecheng-10736	140	5	non	non	ADJ
fumecheng-10736	140	6	-	-	ADJ
fumecheng-10736	140	7	zero	zero	NUM
fumecheng-10736	140	8	components	component	NOUN
fumecheng-10736	140	9	of	of	ADP
fumecheng-10736	140	10	the	the	DET
fumecheng-10736	140	11	strain	strain	NOUN
fumecheng-10736	140	12	εij	εij	NOUN
fumecheng-10736	140	13	and	and	CCONJ
fumecheng-10736	140	14	the	the	DET
fumecheng-10736	140	15	strain	strain	NOUN
fumecheng-10736	140	16	-	-	PUNCT
fumecheng-10736	140	17	gradient	gradient	NOUN
fumecheng-10736	140	18	measures	measure	NOUN
fumecheng-10736	140	19	ijk	ijk	PROPN
fumecheng-10736	140	20			NOUN
fumecheng-10736	140	21	,	,	PUNCT
fumecheng-10736	140	22	and	and	CCONJ
fumecheng-10736	140	23	χij	χij	PROPN
fumecheng-10736	140	24	in	in	ADP
fumecheng-10736	140	25	eqs	eqs	PROPN
fumecheng-10736	140	26	.	.	PUNCT
fumecheng-10736	141	1	(	(	PUNCT
fumecheng-10736	141	2	6	6	NUM
fumecheng-10736	141	3	)	)	PUNCT
fumecheng-10736	141	4	to	to	ADP
fumecheng-10736	141	5	(	(	PUNCT
fumecheng-10736	141	6	9	9	NUM
fumecheng-10736	141	7	)	)	PUNCT
fumecheng-10736	141	8	are	be	AUX
fumecheng-10736	141	9	expressed	express	VERB
fumecheng-10736	141	10	in	in	ADP
fumecheng-10736	141	11	terms	term	NOUN
fumecheng-10736	141	12	of	of	ADP
fumecheng-10736	141	13	the	the	DET
fumecheng-10736	141	14	transverse	transverse	ADJ
fumecheng-10736	141	15	displacement	displacement	NOUN
fumecheng-10736	141	16	v0(x	v0(x	PROPN
fumecheng-10736	141	17	,	,	PUNCT
fumecheng-10736	141	18	t	t	PROPN
fumecheng-10736	141	19	)	)	PUNCT
fumecheng-10736	141	20	as	as	ADP
fumecheng-10736	141	21	:	:	PUNCT
fumecheng-10736	141	22	2	2	NUM
fumecheng-10736	141	23	0	0	NUM
fumecheng-10736	141	24	2	2	NUM
fumecheng-10736	141	25	(	(	PUNCT
fumecheng-10736	141	26	,	,	PUNCT
fumecheng-10736	141	27	)	)	PUNCT
fumecheng-10736	141	28	(	(	PUNCT
fumecheng-10736	141	29	,	,	PUNCT
fumecheng-10736	141	30	)	)	PUNCT
fumecheng-10736	141	31	xx	xx	NUM
fumecheng-10736	142	1	v	v	NUM
fumecheng-10736	142	2	x	x	SYM
fumecheng-10736	142	3	t	t	NOUN
fumecheng-10736	142	4	x	x	SYM
fumecheng-10736	142	5	t	t	PROPN
fumecheng-10736	142	6	y	y	PROPN
fumecheng-10736	142	7	x	x	PROPN
fumecheng-10736	142	8			PROPN
fumecheng-10736	142	9			PROPN
fumecheng-10736	142	10	=	=	SYM
fumecheng-10736	143	1	−	−	PROPN
fumecheng-10736	143	2			ADJ
fumecheng-10736	143	3	(	(	PUNCT
fumecheng-10736	143	4	13	13	NUM
fumecheng-10736	143	5	)	)	PUNCT
fumecheng-10736	143	6	3	3	NUM
fumecheng-10736	143	7	0	0	NUM
fumecheng-10736	143	8	3	3	NUM
fumecheng-10736	143	9	(	(	PUNCT
fumecheng-10736	143	10	,	,	PUNCT
fumecheng-10736	143	11	)	)	PUNCT
fumecheng-10736	143	12	(	(	PUNCT
fumecheng-10736	143	13	,	,	PUNCT
fumecheng-10736	143	14	)	)	PUNCT
fumecheng-10736	143	15	xxx	xxx	NOUN
fumecheng-10736	144	1	v	v	NOUN
fumecheng-10736	144	2	x	x	SYM
fumecheng-10736	144	3	t	t	NOUN
fumecheng-10736	144	4	x	x	SYM
fumecheng-10736	144	5	t	t	PROPN
fumecheng-10736	144	6	y	y	PROPN
fumecheng-10736	144	7	x	x	PROPN
fumecheng-10736	144	8			PROPN
fumecheng-10736	144	9			VERB
fumecheng-10736	144	10			PROPN
fumecheng-10736	144	11	=	=	SYM
fumecheng-10736	145	1	−	−	PROPN
fumecheng-10736	145	2			ADJ
fumecheng-10736	145	3	(	(	PUNCT
fumecheng-10736	145	4	14	14	NUM
fumecheng-10736	145	5	)	)	PUNCT
fumecheng-10736	145	6	568	568	NUM
fumecheng-10736	145	7	s.	s.	PROPN
fumecheng-10736	145	8	limkatanyu	limkatanyu	PROPN
fumecheng-10736	145	9	,	,	PUNCT
fumecheng-10736	145	10	w.	w.	PROPN
fumecheng-10736	145	11	sae	sae	PROPN
fumecheng-10736	145	12	-	-	PROPN
fumecheng-10736	145	13	long	long	ADV
fumecheng-10736	145	14	,	,	PUNCT
fumecheng-10736	145	15	j.	j.	PROPN
fumecheng-10736	145	16	rungamornrat	rungamornrat	PROPN
fumecheng-10736	145	17	,	,	PUNCT
fumecheng-10736	145	18	et	et	PROPN
fumecheng-10736	145	19	al	al	PROPN
fumecheng-10736	145	20	.	.	PROPN
fumecheng-10736	145	21	2	2	NUM
fumecheng-10736	145	22	0	0	NUM
fumecheng-10736	145	23	2	2	NUM
fumecheng-10736	145	24	(	(	PUNCT
fumecheng-10736	145	25	,	,	PUNCT
fumecheng-10736	145	26	)	)	PUNCT
fumecheng-10736	145	27	1	1	NUM
fumecheng-10736	145	28	(	(	PUNCT
fumecheng-10736	145	29	,	,	PUNCT
fumecheng-10736	145	30	)	)	PUNCT
fumecheng-10736	145	31	3	3	NUM
fumecheng-10736	145	32	xxy	xxy	PROPN
fumecheng-10736	145	33	v	v	PROPN
fumecheng-10736	145	34	x	x	SYM
fumecheng-10736	145	35	t	t	NOUN
fumecheng-10736	145	36	x	x	SYM
fumecheng-10736	145	37	t	t	PROPN
fumecheng-10736	145	38	x	x	PROPN
fumecheng-10736	145	39			PROPN
fumecheng-10736	145	40			NOUN
fumecheng-10736	145	41			PROPN
fumecheng-10736	145	42	=	=	SYM
fumecheng-10736	145	43			PROPN
fumecheng-10736	145	44	(	(	PUNCT
fumecheng-10736	145	45	15	15	NUM
fumecheng-10736	145	46	)	)	SYM
fumecheng-10736	145	47	2	2	NUM
fumecheng-10736	145	48	0	0	NUM
fumecheng-10736	145	49	2	2	NUM
fumecheng-10736	145	50	(	(	PUNCT
fumecheng-10736	145	51	,	,	PUNCT
fumecheng-10736	145	52	)	)	PUNCT
fumecheng-10736	145	53	1	1	NUM
fumecheng-10736	145	54	(	(	PUNCT
fumecheng-10736	145	55	,	,	PUNCT
fumecheng-10736	145	56	)	)	PUNCT
fumecheng-10736	145	57	(	(	PUNCT
fumecheng-10736	145	58	,	,	PUNCT
fumecheng-10736	145	59	)	)	PUNCT
fumecheng-10736	145	60	2	2	NUM
fumecheng-10736	145	61	xz	xz	NOUN
fumecheng-10736	145	62	zx	zx	NUM
fumecheng-10736	145	63	v	v	NOUN
fumecheng-10736	145	64	x	x	SYM
fumecheng-10736	145	65	t	t	NOUN
fumecheng-10736	145	66	x	x	SYM
fumecheng-10736	145	67	t	t	NOUN
fumecheng-10736	145	68	x	x	SYM
fumecheng-10736	145	69	t	t	NOUN
fumecheng-10736	145	70	x	x	VERB
fumecheng-10736	145	71			NOUN
fumecheng-10736	145	72			VERB
fumecheng-10736	145	73			ADJ
fumecheng-10736	145	74	=	=	SYM
fumecheng-10736	145	75	=	=	SYM
fumecheng-10736	145	76			ADJ
fumecheng-10736	145	77	(	(	PUNCT
fumecheng-10736	145	78	16	16	NUM
fumecheng-10736	145	79	)	)	PUNCT
fumecheng-10736	145	80	substituting	substitute	VERB
fumecheng-10736	145	81	the	the	DET
fumecheng-10736	145	82	compatibility	compatibility	NOUN
fumecheng-10736	145	83	relations	relation	NOUN
fumecheng-10736	145	84	of	of	ADP
fumecheng-10736	145	85	eqs	eqs	PROPN
fumecheng-10736	145	86	.	.	PUNCT
fumecheng-10736	146	1	(	(	PUNCT
fumecheng-10736	146	2	13	13	NUM
fumecheng-10736	146	3	)	)	PUNCT
fumecheng-10736	146	4	to	to	ADP
fumecheng-10736	146	5	(	(	PUNCT
fumecheng-10736	146	6	16	16	NUM
fumecheng-10736	146	7	)	)	PUNCT
fumecheng-10736	146	8	into	into	ADP
fumecheng-10736	146	9	the	the	DET
fumecheng-10736	146	10	constitutive	constitutive	ADJ
fumecheng-10736	146	11	relations	relation	NOUN
fumecheng-10736	146	12	of	of	ADP
fumecheng-10736	146	13	eqs	eqs	PROPN
fumecheng-10736	146	14	.	.	PUNCT
fumecheng-10736	147	1	(	(	PUNCT
fumecheng-10736	147	2	3	3	X
fumecheng-10736	147	3	)	)	PUNCT
fumecheng-10736	147	4	to	to	ADP
fumecheng-10736	147	5	(	(	PUNCT
fumecheng-10736	147	6	5	5	NUM
fumecheng-10736	147	7	)	)	PUNCT
fumecheng-10736	147	8	,	,	PUNCT
fumecheng-10736	147	9	the	the	DET
fumecheng-10736	147	10	corresponding	corresponding	ADJ
fumecheng-10736	147	11	non	non	ADJ
fumecheng-10736	147	12	-	-	ADJ
fumecheng-10736	147	13	zero	zero	NUM
fumecheng-10736	147	14	stress	stress	NOUN
fumecheng-10736	147	15	components	component	NOUN
fumecheng-10736	147	16	in	in	ADP
fumecheng-10736	147	17	terms	term	NOUN
fumecheng-10736	147	18	of	of	ADP
fumecheng-10736	147	19	the	the	DET
fumecheng-10736	147	20	transverse	transverse	ADJ
fumecheng-10736	147	21	displacement	displacement	NOUN
fumecheng-10736	147	22	v0(x	v0(x	PROPN
fumecheng-10736	147	23	,	,	PUNCT
fumecheng-10736	147	24	t	t	PROPN
fumecheng-10736	147	25	)	)	PUNCT
fumecheng-10736	147	26	are	be	AUX
fumecheng-10736	147	27	:	:	PUNCT
fumecheng-10736	147	28	2	2	NUM
fumecheng-10736	147	29	0	0	NUM
fumecheng-10736	147	30	2	2	NUM
fumecheng-10736	147	31	(	(	PUNCT
fumecheng-10736	147	32	,	,	PUNCT
fumecheng-10736	147	33	)	)	PUNCT
fumecheng-10736	147	34	(	(	PUNCT
fumecheng-10736	147	35	,	,	PUNCT
fumecheng-10736	147	36	)	)	PUNCT
fumecheng-10736	148	1	xx	xx	NUM
fumecheng-10736	149	1	xx	xx	NUM
fumecheng-10736	150	1	v	v	NOUN
fumecheng-10736	150	2	x	x	SYM
fumecheng-10736	150	3	t	t	NOUN
fumecheng-10736	150	4	x	x	SYM
fumecheng-10736	150	5	t	t	PROPN
fumecheng-10736	150	6	e	e	X
fumecheng-10736	150	7	y	y	PROPN
fumecheng-10736	150	8	x	x	X
fumecheng-10736	150	9			PROPN
fumecheng-10736	150	10			NOUN
fumecheng-10736	150	11	=	=	SYM
fumecheng-10736	151	1	−	−	PROPN
fumecheng-10736	151	2			ADJ
fumecheng-10736	151	3	(	(	PUNCT
fumecheng-10736	151	4	17	17	NUM
fumecheng-10736	151	5	)	)	PUNCT
fumecheng-10736	151	6	3	3	NUM
fumecheng-10736	151	7	2	2	NUM
fumecheng-10736	151	8	0	0	NUM
fumecheng-10736	151	9	3	3	NUM
fumecheng-10736	151	10	(	(	PUNCT
fumecheng-10736	151	11	,	,	PUNCT
fumecheng-10736	151	12	)	)	PUNCT
fumecheng-10736	151	13	(	(	PUNCT
fumecheng-10736	151	14	,	,	PUNCT
fumecheng-10736	151	15	)	)	PUNCT
fumecheng-10736	151	16	2xxx	2xxx	NUM
fumecheng-10736	151	17	s	s	NOUN
fumecheng-10736	151	18	v	v	NOUN
fumecheng-10736	151	19	x	x	SYM
fumecheng-10736	151	20	t	t	NOUN
fumecheng-10736	151	21	x	x	X
fumecheng-10736	151	22	t	t	NOUN
fumecheng-10736	151	23	l	l	X
fumecheng-10736	151	24	y	y	X
fumecheng-10736	151	25	x	x	X
fumecheng-10736	151	26			PROPN
fumecheng-10736	151	27			PUNCT
fumecheng-10736	151	28			ADJ
fumecheng-10736	151	29	=	=	SYM
fumecheng-10736	152	1	−	−	PROPN
fumecheng-10736	152	2			ADJ
fumecheng-10736	152	3	(	(	PUNCT
fumecheng-10736	152	4	18	18	NUM
fumecheng-10736	152	5	)	)	SYM
fumecheng-10736	152	6	2	2	NUM
fumecheng-10736	152	7	2	2	NUM
fumecheng-10736	152	8	0	0	NUM
fumecheng-10736	152	9	2	2	NUM
fumecheng-10736	152	10	(	(	PUNCT
fumecheng-10736	152	11	,	,	PUNCT
fumecheng-10736	152	12	)	)	PUNCT
fumecheng-10736	152	13	2	2	NUM
fumecheng-10736	152	14	(	(	PUNCT
fumecheng-10736	152	15	,	,	PUNCT
fumecheng-10736	152	16	)	)	PUNCT
fumecheng-10736	152	17	3	3	NUM
fumecheng-10736	152	18	xxy	xxy	PROPN
fumecheng-10736	152	19	s	s	PROPN
fumecheng-10736	152	20	v	v	PROPN
fumecheng-10736	152	21	x	x	SYM
fumecheng-10736	152	22	t	t	NOUN
fumecheng-10736	152	23	x	x	X
fumecheng-10736	152	24	t	t	NOUN
fumecheng-10736	152	25	l	l	NOUN
fumecheng-10736	152	26	x	x	X
fumecheng-10736	152	27			PROPN
fumecheng-10736	152	28			PRON
fumecheng-10736	152	29			ADJ
fumecheng-10736	152	30	=	=	SYM
fumecheng-10736	152	31			PROPN
fumecheng-10736	152	32	(	(	PUNCT
fumecheng-10736	152	33	19	19	NUM
fumecheng-10736	152	34	)	)	SYM
fumecheng-10736	152	35	2	2	NUM
fumecheng-10736	152	36	2	2	NUM
fumecheng-10736	152	37	0	0	NUM
fumecheng-10736	152	38	2	2	NUM
fumecheng-10736	152	39	(	(	PUNCT
fumecheng-10736	152	40	,	,	PUNCT
fumecheng-10736	152	41	)	)	PUNCT
fumecheng-10736	152	42	(	(	PUNCT
fumecheng-10736	152	43	,	,	PUNCT
fumecheng-10736	152	44	)	)	PUNCT
fumecheng-10736	152	45	(	(	PUNCT
fumecheng-10736	152	46	,	,	PUNCT
fumecheng-10736	152	47	)	)	PUNCT
fumecheng-10736	152	48	xz	xz	PROPN
fumecheng-10736	152	49	zx	zx	NUM
fumecheng-10736	152	50	m	m	PROPN
fumecheng-10736	152	51	v	v	NOUN
fumecheng-10736	152	52	x	x	SYM
fumecheng-10736	152	53	t	t	NOUN
fumecheng-10736	152	54	m	m	NOUN
fumecheng-10736	152	55	x	x	PROPN
fumecheng-10736	152	56	t	t	NOUN
fumecheng-10736	152	57	m	m	NOUN
fumecheng-10736	152	58	x	x	X
fumecheng-10736	152	59	t	t	NOUN
fumecheng-10736	152	60	l	l	NOUN
fumecheng-10736	152	61	x	x	X
fumecheng-10736	152	62			NOUN
fumecheng-10736	152	63			NOUN
fumecheng-10736	152	64	=	=	PUNCT
fumecheng-10736	152	65	=	=	SYM
fumecheng-10736	152	66			ADJ
fumecheng-10736	152	67	(	(	PUNCT
fumecheng-10736	152	68	20	20	NUM
fumecheng-10736	152	69	)	)	PUNCT
fumecheng-10736	152	70	where	where	SCONJ
fumecheng-10736	152	71	exx	exx	PROPN
fumecheng-10736	152	72	defines	define	VERB
fumecheng-10736	152	73	the	the	DET
fumecheng-10736	152	74	elastic	elastic	ADJ
fumecheng-10736	152	75	modulus	modulus	NOUN
fumecheng-10736	152	76	of	of	ADP
fumecheng-10736	152	77	the	the	DET
fumecheng-10736	152	78	beam	beam	NOUN
fumecheng-10736	152	79	bulk	bulk	NOUN
fumecheng-10736	152	80	.	.	PUNCT
fumecheng-10736	153	1	6.1.2	6.1.2	NUM
fumecheng-10736	153	2	.	.	PUNCT
fumecheng-10736	153	3	outer	outer	ADJ
fumecheng-10736	153	4	surface	surface	NOUN
fumecheng-10736	153	5	layer	layer	NOUN
fumecheng-10736	153	6	for	for	ADP
fumecheng-10736	153	7	the	the	DET
fumecheng-10736	153	8	problem	problem	NOUN
fumecheng-10736	153	9	of	of	ADP
fumecheng-10736	153	10	the	the	DET
fumecheng-10736	153	11	planar	planar	ADJ
fumecheng-10736	153	12	euler	euler	PROPN
fumecheng-10736	153	13	-	-	PUNCT
fumecheng-10736	153	14	bernoulli	bernoulli	PROPN
fumecheng-10736	153	15	beam	beam	NOUN
fumecheng-10736	153	16	,	,	PUNCT
fumecheng-10736	153	17	the	the	DET
fumecheng-10736	153	18	degenerated	degenerated	ADJ
fumecheng-10736	153	19	forms	form	NOUN
fumecheng-10736	153	20	of	of	ADP
fumecheng-10736	153	21	eqs	eqs	PROPN
fumecheng-10736	153	22	.	.	PUNCT
fumecheng-10736	154	1	(	(	PUNCT
fumecheng-10736	154	2	10	10	NUM
fumecheng-10736	154	3	)	)	PUNCT
fumecheng-10736	154	4	and	and	CCONJ
fumecheng-10736	154	5	(	(	PUNCT
fumecheng-10736	154	6	11	11	NUM
fumecheng-10736	154	7	)	)	PUNCT
fumecheng-10736	154	8	are	be	AUX
fumecheng-10736	154	9	given	give	VERB
fumecheng-10736	154	10	by	by	ADP
fumecheng-10736	154	11	guo	guo	PROPN
fumecheng-10736	154	12	and	and	CCONJ
fumecheng-10736	154	13	mahmoud	mahmoud	PROPN
fumecheng-10736	155	1	[	[	X
fumecheng-10736	155	2	57	57	NUM
fumecheng-10736	155	3	]	]	PUNCT
fumecheng-10736	155	4	as	as	SCONJ
fumecheng-10736	155	5	:	:	PUNCT
fumecheng-10736	155	6	(	(	PUNCT
fumecheng-10736	155	7	,	,	PUNCT
fumecheng-10736	155	8	)	)	PUNCT
fumecheng-10736	155	9	(	(	PUNCT
fumecheng-10736	155	10	,	,	PUNCT
fumecheng-10736	155	11	)	)	PUNCT
fumecheng-10736	155	12	sur	sur	PROPN
fumecheng-10736	155	13	sur	sur	PROPN
fumecheng-10736	155	14	sur	sur	PROPN
fumecheng-10736	155	15	sur	sur	PROPN
fumecheng-10736	155	16	xx	xx	NUM
fumecheng-10736	155	17	res	re	VERB
fumecheng-10736	155	18	xx	xx	NUM
fumecheng-10736	155	19	xxx	xxx	NOUN
fumecheng-10736	155	20	t	t	NOUN
fumecheng-10736	155	21	e	e	X
fumecheng-10736	155	22	x	x	X
fumecheng-10736	155	23	t	t	NOUN
fumecheng-10736	155	24			NOUN
fumecheng-10736	155	25	−	−	NOUN
fumecheng-10736	155	26	=	=	PUNCT
fumecheng-10736	155	27	(	(	PUNCT
fumecheng-10736	155	28	21	21	NUM
fumecheng-10736	155	29	)	)	PUNCT
fumecheng-10736	155	30	(	(	PUNCT
fumecheng-10736	155	31	,	,	PUNCT
fumecheng-10736	155	32	)	)	PUNCT
fumecheng-10736	155	33	(	(	PUNCT
fumecheng-10736	155	34	,	,	PUNCT
fumecheng-10736	155	35	)	)	PUNCT
fumecheng-10736	155	36	sur	sur	PROPN
fumecheng-10736	155	37	sur	sur	PROPN
fumecheng-10736	155	38	sur	sur	PROPN
fumecheng-10736	155	39	nx	nx	PROPN
fumecheng-10736	155	40	res	res	PROPN
fumecheng-10736	155	41	nxx	nxx	PROPN
fumecheng-10736	155	42	t	t	PROPN
fumecheng-10736	155	43	x	x	PROPN
fumecheng-10736	155	44	t	t	PROPN
fumecheng-10736	155	45			NOUN
fumecheng-10736	155	46	=	=	NOUN
fumecheng-10736	155	47	(	(	PUNCT
fumecheng-10736	155	48	22	22	NUM
fumecheng-10736	155	49	)	)	PUNCT
fumecheng-10736	155	50	where	where	SCONJ
fumecheng-10736	155	51	(	(	PUNCT
fumecheng-10736	155	52	,	,	PUNCT
fumecheng-10736	155	53	)	)	PUNCT
fumecheng-10736	155	54	sur	sur	PROPN
fumecheng-10736	156	1	xx	xx	NUM
fumecheng-10736	157	1	x	x	X
fumecheng-10736	157	2	t	t	PROPN
fumecheng-10736	157	3	denotes	denote	VERB
fumecheng-10736	157	4	the	the	DET
fumecheng-10736	157	5	in	in	ADP
fumecheng-10736	157	6	-	-	PUNCT
fumecheng-10736	157	7	plane	plane	NOUN
fumecheng-10736	157	8	component	component	NOUN
fumecheng-10736	157	9	of	of	ADP
fumecheng-10736	157	10	the	the	DET
fumecheng-10736	157	11	surface	surface	NOUN
fumecheng-10736	157	12	stress	stress	NOUN
fumecheng-10736	157	13	and	and	CCONJ
fumecheng-10736	157	14	is	be	AUX
fumecheng-10736	157	15	the	the	DET
fumecheng-10736	157	16	conjugatework	conjugatework	NOUN
fumecheng-10736	157	17	pair	pair	NOUN
fumecheng-10736	157	18	of	of	ADP
fumecheng-10736	157	19	the	the	DET
fumecheng-10736	157	20	in	in	ADP
fumecheng-10736	157	21	-	-	PUNCT
fumecheng-10736	157	22	plane	plane	NOUN
fumecheng-10736	157	23	component	component	NOUN
fumecheng-10736	157	24	of	of	ADP
fumecheng-10736	157	25	the	the	DET
fumecheng-10736	157	26	surface	surface	NOUN
fumecheng-10736	157	27	strain	strain	NOUN
fumecheng-10736	157	28	(	(	PUNCT
fumecheng-10736	157	29	,	,	PUNCT
fumecheng-10736	157	30	)	)	PUNCT
fumecheng-10736	157	31	sur	sur	PROPN
fumecheng-10736	158	1	xx	xx	NUM
fumecheng-10736	158	2	x	x	SYM
fumecheng-10736	158	3	t	t	NOUN
fumecheng-10736	158	4	;	;	PUNCT
fumecheng-10736	158	5	(	(	PUNCT
fumecheng-10736	158	6	,	,	PUNCT
fumecheng-10736	158	7	)	)	PUNCT
fumecheng-10736	158	8	sur	sur	PROPN
fumecheng-10736	158	9	nx	nx	PROPN
fumecheng-10736	158	10	x	x	PROPN
fumecheng-10736	158	11	t	t	PROPN
fumecheng-10736	158	12	denotes	denote	VERB
fumecheng-10736	158	13	the	the	DET
fumecheng-10736	158	14	out	out	ADV
fumecheng-10736	158	15	-	-	PUNCT
fumecheng-10736	158	16	of	of	ADP
fumecheng-10736	158	17	-	-	PUNCT
fumecheng-10736	158	18	plane	plane	NOUN
fumecheng-10736	158	19	component	component	NOUN
fumecheng-10736	158	20	of	of	ADP
fumecheng-10736	158	21	the	the	DET
fumecheng-10736	158	22	surface	surface	NOUN
fumecheng-10736	158	23	stress	stress	NOUN
fumecheng-10736	158	24	and	and	CCONJ
fumecheng-10736	158	25	is	be	AUX
fumecheng-10736	158	26	the	the	DET
fumecheng-10736	158	27	conjugate	conjugate	ADJ
fumecheng-10736	158	28	-	-	PUNCT
fumecheng-10736	158	29	work	work	NOUN
fumecheng-10736	158	30	pair	pair	NOUN
fumecheng-10736	158	31	of	of	ADP
fumecheng-10736	158	32	the	the	DET
fumecheng-10736	158	33	out	out	ADJ
fumecheng-10736	158	34	-	-	PUNCT
fumecheng-10736	158	35	ofplane	ofplane	NOUN
fumecheng-10736	158	36	component	component	NOUN
fumecheng-10736	158	37	of	of	ADP
fumecheng-10736	158	38	the	the	DET
fumecheng-10736	158	39	surface	surface	NOUN
fumecheng-10736	158	40	strain	strain	NOUN
fumecheng-10736	158	41	(	(	PUNCT
fumecheng-10736	158	42	,	,	PUNCT
fumecheng-10736	158	43	)	)	PUNCT
fumecheng-10736	158	44	sur	sur	PROPN
fumecheng-10736	158	45	nx	nx	NOUN
fumecheng-10736	158	46	x	x	SYM
fumecheng-10736	158	47	t	t	PROPN
fumecheng-10736	158	48	;	;	PUNCT
fumecheng-10736	158	49	and	and	CCONJ
fumecheng-10736	158	50	0	0	NUM
fumecheng-10736	158	51	02sur	02sur	NOUN
fumecheng-10736	158	52	sur	sur	PROPN
fumecheng-10736	158	53	sur	sur	PROPN
fumecheng-10736	158	54	xxe	xxe	PROPN
fumecheng-10736	158	55			PROPN
fumecheng-10736	158	56	=	=	PROPN
fumecheng-10736	158	57	+	+	CCONJ
fumecheng-10736	158	58	is	be	AUX
fumecheng-10736	158	59	the	the	DET
fumecheng-10736	158	60	surface	surface	NOUN
fumecheng-10736	158	61	-	-	PUNCT
fumecheng-10736	158	62	layer	layer	NOUN
fumecheng-10736	158	63	elastic	elastic	ADJ
fumecheng-10736	158	64	modulus	modulus	NOUN
fumecheng-10736	158	65	obtained	obtain	VERB
fumecheng-10736	158	66	from	from	ADP
fumecheng-10736	158	67	two	two	NUM
fumecheng-10736	158	68	surface	surface	NOUN
fumecheng-10736	158	69	elastic	elastic	ADJ
fumecheng-10736	158	70	constants	constant	NOUN
fumecheng-10736	158	71	0	0	NUM
fumecheng-10736	158	72	sur	sur	NUM
fumecheng-10736	158	73	and	and	CCONJ
fumecheng-10736	158	74	0	0	NUM
fumecheng-10736	159	1	sur	sur	NOUN
fumecheng-10736	159	2	[	[	X
fumecheng-10736	159	3	72	72	NUM
fumecheng-10736	159	4	]	]	PUNCT
fumecheng-10736	159	5	.	.	PUNCT
fumecheng-10736	160	1	following	follow	VERB
fumecheng-10736	160	2	the	the	DET
fumecheng-10736	160	3	beam	beam	NOUN
fumecheng-10736	160	4	kinematics	kinematic	NOUN
fumecheng-10736	160	5	of	of	ADP
fumecheng-10736	160	6	eq	eq	PROPN
fumecheng-10736	160	7	.	.	PUNCT
fumecheng-10736	161	1	(	(	PUNCT
fumecheng-10736	161	2	1	1	NUM
fumecheng-10736	161	3	)	)	PUNCT
fumecheng-10736	161	4	and	and	CCONJ
fumecheng-10736	161	5	the	the	DET
fumecheng-10736	161	6	full	full	ADJ
fumecheng-10736	161	7	compatibility	compatibility	NOUN
fumecheng-10736	161	8	of	of	ADP
fumecheng-10736	161	9	the	the	DET
fumecheng-10736	161	10	composite	composite	ADJ
fumecheng-10736	161	11	nanobeam	nanobeam	NOUN
fumecheng-10736	161	12	section	section	NOUN
fumecheng-10736	161	13	of	of	ADP
fumecheng-10736	161	14	fig	fig	NOUN
fumecheng-10736	161	15	.	.	PUNCT
fumecheng-10736	162	1	1	1	NUM
fumecheng-10736	162	2	,	,	PUNCT
fumecheng-10736	162	3	the	the	DET
fumecheng-10736	162	4	in	in	NOUN
fumecheng-10736	162	5	-	-	PUNCT
fumecheng-10736	162	6	plane	plane	NOUN
fumecheng-10736	162	7	(	(	PUNCT
fumecheng-10736	162	8	,	,	PUNCT
fumecheng-10736	162	9	)	)	PUNCT
fumecheng-10736	162	10	sur	sur	PROPN
fumecheng-10736	162	11	xx	xx	NUM
fumecheng-10736	163	1	x	x	SYM
fumecheng-10736	163	2	t	t	PROPN
fumecheng-10736	163	3	and	and	CCONJ
fumecheng-10736	163	4	out	out	ADP
fumecheng-10736	163	5	-	-	PUNCT
fumecheng-10736	163	6	of	of	ADP
fumecheng-10736	163	7	-	-	PUNCT
fumecheng-10736	163	8	plane	plane	NOUN
fumecheng-10736	163	9	surface	surface	NOUN
fumecheng-10736	163	10	strain	strain	NOUN
fumecheng-10736	163	11	(	(	PUNCT
fumecheng-10736	163	12	,	,	PUNCT
fumecheng-10736	163	13	)	)	PUNCT
fumecheng-10736	163	14	sur	sur	PROPN
fumecheng-10736	163	15	nx	nx	NOUN
fumecheng-10736	163	16	x	x	SYM
fumecheng-10736	163	17	t	t	ADJ
fumecheng-10736	163	18	components	component	NOUN
fumecheng-10736	163	19	can	can	AUX
fumecheng-10736	163	20	be	be	AUX
fumecheng-10736	163	21	expressed	express	VERB
fumecheng-10736	163	22	in	in	ADP
fumecheng-10736	163	23	terms	term	NOUN
fumecheng-10736	163	24	of	of	ADP
fumecheng-10736	163	25	the	the	DET
fumecheng-10736	163	26	transverse	transverse	ADJ
fumecheng-10736	163	27	displacement	displacement	NOUN
fumecheng-10736	163	28	v0(x	v0(x	PROPN
fumecheng-10736	163	29	,	,	PUNCT
fumecheng-10736	163	30	t	t	PROPN
fumecheng-10736	163	31	)	)	PUNCT
fumecheng-10736	163	32	as	as	ADP
fumecheng-10736	163	33	:	:	PUNCT
fumecheng-10736	163	34	2	2	NUM
fumecheng-10736	163	35	0	0	NUM
fumecheng-10736	163	36	2	2	NUM
fumecheng-10736	163	37	(	(	PUNCT
fumecheng-10736	163	38	,	,	PUNCT
fumecheng-10736	163	39	)	)	PUNCT
fumecheng-10736	163	40	(	(	PUNCT
fumecheng-10736	163	41	,	,	PUNCT
fumecheng-10736	163	42	)	)	PUNCT
fumecheng-10736	163	43	sur	sur	PROPN
fumecheng-10736	163	44	xx	xx	NUM
fumecheng-10736	163	45	v	v	NOUN
fumecheng-10736	163	46	x	x	SYM
fumecheng-10736	163	47	t	t	NOUN
fumecheng-10736	163	48	x	x	SYM
fumecheng-10736	163	49	t	t	PROPN
fumecheng-10736	163	50	y	y	PROPN
fumecheng-10736	163	51	x	x	PROPN
fumecheng-10736	163	52			PROPN
fumecheng-10736	163	53			PROPN
fumecheng-10736	163	54	=	=	SYM
fumecheng-10736	164	1	−	−	PROPN
fumecheng-10736	164	2			ADJ
fumecheng-10736	164	3	(	(	PUNCT
fumecheng-10736	164	4	23	23	NUM
fumecheng-10736	164	5	)	)	PUNCT
fumecheng-10736	164	6	0	0	NUM
fumecheng-10736	164	7	(	(	PUNCT
fumecheng-10736	164	8	,	,	PUNCT
fumecheng-10736	164	9	)	)	PUNCT
fumecheng-10736	164	10	(	(	PUNCT
fumecheng-10736	164	11	,	,	PUNCT
fumecheng-10736	164	12	)	)	PUNCT
fumecheng-10736	164	13	sur	sur	PROPN
fumecheng-10736	164	14	nx	nx	PROPN
fumecheng-10736	165	1	y	y	PROPN
fumecheng-10736	165	2	v	v	PROPN
fumecheng-10736	165	3	x	x	SYM
fumecheng-10736	165	4	t	t	NOUN
fumecheng-10736	165	5	x	x	SYM
fumecheng-10736	165	6	t	t	PROPN
fumecheng-10736	165	7	n	n	NOUN
fumecheng-10736	165	8	x	x	PROPN
fumecheng-10736	165	9			PROPN
fumecheng-10736	165	10			NOUN
fumecheng-10736	165	11	=	=	SYM
fumecheng-10736	165	12			PROPN
fumecheng-10736	165	13	(	(	PUNCT
fumecheng-10736	165	14	24	24	NUM
fumecheng-10736	165	15	)	)	PUNCT
fumecheng-10736	165	16	where	where	SCONJ
fumecheng-10736	165	17	ny	ny	PROPN
fumecheng-10736	165	18	defines	define	VERB
fumecheng-10736	165	19	the	the	DET
fumecheng-10736	165	20	y	y	PROPN
fumecheng-10736	165	21	component	component	NOUN
fumecheng-10736	165	22	of	of	ADP
fumecheng-10736	165	23	the	the	DET
fumecheng-10736	165	24	unit	unit	NOUN
fumecheng-10736	165	25	vector	vector	NOUN
fumecheng-10736	165	26	n	n	X
fumecheng-10736	165	27	normal	normal	ADJ
fumecheng-10736	165	28	to	to	ADP
fumecheng-10736	165	29	the	the	DET
fumecheng-10736	165	30	lateral	lateral	ADJ
fumecheng-10736	165	31	surface	surface	NOUN
fumecheng-10736	165	32	of	of	ADP
fumecheng-10736	165	33	beam	beam	NOUN
fumecheng-10736	165	34	section	section	NOUN
fumecheng-10736	165	35	as	as	SCONJ
fumecheng-10736	165	36	shown	show	VERB
fumecheng-10736	165	37	in	in	ADP
fumecheng-10736	165	38	fig	fig	NOUN
fumecheng-10736	165	39	.	.	PUNCT
fumecheng-10736	166	1	1	1	X
fumecheng-10736	166	2	.	.	X
fumecheng-10736	166	3	bending	bend	VERB
fumecheng-10736	166	4	,	,	PUNCT
fumecheng-10736	166	5	buckling	buckling	NOUN
fumecheng-10736	166	6	,	,	PUNCT
fumecheng-10736	166	7	and	and	CCONJ
fumecheng-10736	166	8	free	free	ADJ
fumecheng-10736	166	9	vibration	vibration	NOUN
fumecheng-10736	166	10	analyses	analysis	NOUN
fumecheng-10736	166	11	of	of	ADP
fumecheng-10736	166	12	nanobeam	nanobeam	ADJ
fumecheng-10736	166	13	-	-	PUNCT
fumecheng-10736	166	14	substrate	substrate	NOUN
fumecheng-10736	166	15	medium	medium	NOUN
fumecheng-10736	166	16	systems	system	NOUN
fumecheng-10736	166	17	569	569	NUM
fumecheng-10736	166	18	substituting	substitute	VERB
fumecheng-10736	166	19	eqs	eqs	PROPN
fumecheng-10736	166	20	.	.	PUNCT
fumecheng-10736	167	1	(	(	PUNCT
fumecheng-10736	167	2	23	23	NUM
fumecheng-10736	167	3	)	)	PUNCT
fumecheng-10736	167	4	and	and	CCONJ
fumecheng-10736	167	5	(	(	PUNCT
fumecheng-10736	167	6	24	24	NUM
fumecheng-10736	167	7	)	)	PUNCT
fumecheng-10736	167	8	into	into	ADP
fumecheng-10736	167	9	eqs	eqs	PROPN
fumecheng-10736	167	10	.	.	PUNCT
fumecheng-10736	168	1	(	(	PUNCT
fumecheng-10736	168	2	21	21	NUM
fumecheng-10736	168	3	)	)	PUNCT
fumecheng-10736	168	4	and	and	CCONJ
fumecheng-10736	168	5	(	(	PUNCT
fumecheng-10736	168	6	22	22	NUM
fumecheng-10736	168	7	)	)	PUNCT
fumecheng-10736	168	8	,	,	PUNCT
fumecheng-10736	168	9	the	the	DET
fumecheng-10736	168	10	in	in	ADP
fumecheng-10736	168	11	-	-	PUNCT
fumecheng-10736	168	12	plane	plane	NOUN
fumecheng-10736	168	13	(	(	PUNCT
fumecheng-10736	168	14	,	,	PUNCT
fumecheng-10736	168	15	)	)	PUNCT
fumecheng-10736	168	16	sur	sur	PROPN
fumecheng-10736	168	17	xx	xx	NUM
fumecheng-10736	168	18	x	x	X
fumecheng-10736	168	19	t	t	NOUN
fumecheng-10736	168	20	and	and	CCONJ
fumecheng-10736	168	21	outof	outof	PROPN
fumecheng-10736	168	22	-	-	PUNCT
fumecheng-10736	168	23	plane	plane	NOUN
fumecheng-10736	168	24	(	(	PUNCT
fumecheng-10736	168	25	,	,	PUNCT
fumecheng-10736	168	26	)	)	PUNCT
fumecheng-10736	168	27	sur	sur	PROPN
fumecheng-10736	168	28	nx	nx	PROPN
fumecheng-10736	168	29	x	x	PROPN
fumecheng-10736	168	30	t	t	PROPN
fumecheng-10736	168	31	surface	surface	NOUN
fumecheng-10736	168	32	stress	stress	NOUN
fumecheng-10736	168	33	components	component	NOUN
fumecheng-10736	168	34	are	be	AUX
fumecheng-10736	168	35	described	describe	VERB
fumecheng-10736	168	36	in	in	ADP
fumecheng-10736	168	37	terms	term	NOUN
fumecheng-10736	168	38	of	of	ADP
fumecheng-10736	168	39	the	the	DET
fumecheng-10736	168	40	transverse	transverse	ADJ
fumecheng-10736	168	41	displacement	displacement	NOUN
fumecheng-10736	168	42	v0(x	v0(x	PROPN
fumecheng-10736	168	43	,	,	PUNCT
fumecheng-10736	168	44	t	t	PROPN
fumecheng-10736	168	45	)	)	PUNCT
fumecheng-10736	168	46	as	as	SCONJ
fumecheng-10736	168	47	:	:	PUNCT
fumecheng-10736	168	48	2	2	NUM
fumecheng-10736	168	49	0	0	NUM
fumecheng-10736	168	50	2	2	NUM
fumecheng-10736	168	51	(	(	PUNCT
fumecheng-10736	168	52	,	,	PUNCT
fumecheng-10736	168	53	)	)	PUNCT
fumecheng-10736	168	54	(	(	PUNCT
fumecheng-10736	168	55	,	,	PUNCT
fumecheng-10736	168	56	)	)	PUNCT
fumecheng-10736	168	57	(	(	PUNCT
fumecheng-10736	168	58	,	,	PUNCT
fumecheng-10736	168	59	)	)	PUNCT
fumecheng-10736	168	60	sur	sur	PROPN
fumecheng-10736	168	61	sur	sur	PROPN
fumecheng-10736	168	62	sur	sur	PROPN
fumecheng-10736	168	63	sur	sur	PROPN
fumecheng-10736	168	64	sur	sur	PROPN
fumecheng-10736	168	65	xx	xx	NUM
fumecheng-10736	168	66	res	re	VERB
fumecheng-10736	168	67	xx	xx	NUM
fumecheng-10736	169	1	xx	xx	NUM
fumecheng-10736	169	2	xx	xx	NUM
fumecheng-10736	170	1	v	v	NOUN
fumecheng-10736	170	2	x	x	SYM
fumecheng-10736	170	3	t	t	NOUN
fumecheng-10736	170	4	x	x	PROPN
fumecheng-10736	170	5	t	t	NOUN
fumecheng-10736	170	6	e	e	X
fumecheng-10736	170	7	x	x	X
fumecheng-10736	170	8	t	t	PROPN
fumecheng-10736	170	9	e	e	X
fumecheng-10736	170	10	y	y	PROPN
fumecheng-10736	170	11	x	x	X
fumecheng-10736	170	12			NOUN
fumecheng-10736	170	13			NOUN
fumecheng-10736	170	14			PROPN
fumecheng-10736	170	15			ADJ
fumecheng-10736	170	16	−	−	PROPN
fumecheng-10736	170	17	=	=	SYM
fumecheng-10736	171	1	=	=	SYM
fumecheng-10736	171	2	−	−	PROPN
fumecheng-10736	171	3			ADJ
fumecheng-10736	171	4	(	(	PUNCT
fumecheng-10736	171	5	25	25	NUM
fumecheng-10736	171	6	)	)	PUNCT
fumecheng-10736	171	7	0	0	NUM
fumecheng-10736	172	1	(	(	PUNCT
fumecheng-10736	172	2	,	,	PUNCT
fumecheng-10736	172	3	)	)	PUNCT
fumecheng-10736	172	4	(	(	PUNCT
fumecheng-10736	172	5	,	,	PUNCT
fumecheng-10736	172	6	)	)	PUNCT
fumecheng-10736	172	7	(	(	PUNCT
fumecheng-10736	172	8	,	,	PUNCT
fumecheng-10736	172	9	)	)	PUNCT
fumecheng-10736	173	1	sur	sur	PROPN
fumecheng-10736	173	2	sur	sur	PROPN
fumecheng-10736	173	3	sur	sur	PROPN
fumecheng-10736	173	4	sur	sur	PROPN
fumecheng-10736	173	5	nx	nx	PROPN
fumecheng-10736	173	6	res	res	PROPN
fumecheng-10736	173	7	nx	nx	PROPN
fumecheng-10736	173	8	res	res	PROPN
fumecheng-10736	173	9	y	y	PROPN
fumecheng-10736	173	10	v	v	NOUN
fumecheng-10736	173	11	x	x	SYM
fumecheng-10736	173	12	t	t	NOUN
fumecheng-10736	173	13	x	x	SYM
fumecheng-10736	173	14	t	t	NOUN
fumecheng-10736	173	15	x	x	SYM
fumecheng-10736	173	16	t	t	PROPN
fumecheng-10736	173	17	n	n	CCONJ
fumecheng-10736	173	18	x	x	NOUN
fumecheng-10736	173	19			NOUN
fumecheng-10736	173	20			NOUN
fumecheng-10736	173	21			PROPN
fumecheng-10736	173	22			NOUN
fumecheng-10736	173	23			NOUN
fumecheng-10736	173	24	=	=	SYM
fumecheng-10736	173	25	=	=	SYM
fumecheng-10736	173	26			ADJ
fumecheng-10736	173	27	(	(	PUNCT
fumecheng-10736	173	28	26	26	NUM
fumecheng-10736	173	29	)	)	PUNCT
fumecheng-10736	173	30	6.1.3	6.1.3	NUM
fumecheng-10736	173	31	.	.	PUNCT
fumecheng-10736	174	1	substrate	substrate	NOUN
fumecheng-10736	174	2	medium	medium	NOUN
fumecheng-10736	174	3	based	base	VERB
fumecheng-10736	174	4	on	on	ADP
fumecheng-10736	174	5	the	the	DET
fumecheng-10736	174	6	assumption	assumption	NOUN
fumecheng-10736	174	7	of	of	ADP
fumecheng-10736	174	8	the	the	DET
fumecheng-10736	174	9	winkler	winkler	NOUN
fumecheng-10736	174	10	-	-	PUNCT
fumecheng-10736	174	11	foundation	foundation	NOUN
fumecheng-10736	174	12	model	model	NOUN
fumecheng-10736	175	1	[	[	X
fumecheng-10736	175	2	73	73	NUM
fumecheng-10736	175	3	]	]	PUNCT
fumecheng-10736	175	4	,	,	PUNCT
fumecheng-10736	175	5	the	the	DET
fumecheng-10736	175	6	beam	beam	NOUN
fumecheng-10736	175	7	and	and	CCONJ
fumecheng-10736	175	8	its	its	PRON
fumecheng-10736	175	9	supporting	support	VERB
fumecheng-10736	175	10	winkler	winkler	NOUN
fumecheng-10736	175	11	-	-	PUNCT
fumecheng-10736	175	12	spring	spring	NOUN
fumecheng-10736	175	13	bed	bed	NOUN
fumecheng-10736	175	14	is	be	AUX
fumecheng-10736	175	15	in	in	ADP
fumecheng-10736	175	16	a	a	DET
fumecheng-10736	175	17	full	full	ADJ
fumecheng-10736	175	18	compatibility	compatibility	NOUN
fumecheng-10736	175	19	condition	condition	NOUN
fumecheng-10736	175	20	(	(	PUNCT
fumecheng-10736	175	21	δes(x	δes(x	PROPN
fumecheng-10736	175	22	,	,	PUNCT
fumecheng-10736	175	23	t	t	PROPN
fumecheng-10736	175	24	)	)	PUNCT
fumecheng-10736	175	25	=	=	SYM
fumecheng-10736	175	26	v0(x	v0(x	PROPN
fumecheng-10736	175	27	,	,	PUNCT
fumecheng-10736	175	28	t	t	PROPN
fumecheng-10736	175	29	)	)	PUNCT
fumecheng-10736	175	30	)	)	PUNCT
fumecheng-10736	175	31	.	.	PUNCT
fumecheng-10736	176	1	therefore	therefore	ADV
fumecheng-10736	176	2	,	,	PUNCT
fumecheng-10736	176	3	the	the	DET
fumecheng-10736	176	4	substrate	substrate	NOUN
fumecheng-10736	176	5	-	-	PUNCT
fumecheng-10736	176	6	medium	medium	NOUN
fumecheng-10736	176	7	interactive	interactive	ADJ
fumecheng-10736	176	8	force	force	NOUN
fumecheng-10736	176	9	des(x	des(x	PROPN
fumecheng-10736	176	10	)	)	PUNCT
fumecheng-10736	176	11	of	of	ADP
fumecheng-10736	176	12	eq	eq	PROPN
fumecheng-10736	176	13	.	.	PUNCT
fumecheng-10736	177	1	(	(	PUNCT
fumecheng-10736	177	2	12	12	NUM
fumecheng-10736	177	3	)	)	PUNCT
fumecheng-10736	177	4	can	can	AUX
fumecheng-10736	177	5	be	be	AUX
fumecheng-10736	177	6	described	describe	VERB
fumecheng-10736	177	7	in	in	ADP
fumecheng-10736	177	8	terms	term	NOUN
fumecheng-10736	177	9	of	of	ADP
fumecheng-10736	177	10	the	the	DET
fumecheng-10736	177	11	transverse	transverse	ADJ
fumecheng-10736	177	12	displacement	displacement	NOUN
fumecheng-10736	177	13	v0(x	v0(x	PROPN
fumecheng-10736	177	14	,	,	PUNCT
fumecheng-10736	177	15	t	t	PROPN
fumecheng-10736	177	16	)	)	PUNCT
fumecheng-10736	177	17	as	as	ADP
fumecheng-10736	177	18	:	:	PUNCT
fumecheng-10736	177	19	0	0	NUM
fumecheng-10736	177	20	(	(	PUNCT
fumecheng-10736	177	21	,	,	PUNCT
fumecheng-10736	177	22	)	)	PUNCT
fumecheng-10736	177	23	(	(	PUNCT
fumecheng-10736	177	24	,	,	PUNCT
fumecheng-10736	177	25	)	)	PUNCT
fumecheng-10736	177	26	(	(	PUNCT
fumecheng-10736	177	27	,	,	PUNCT
fumecheng-10736	177	28	)	)	PUNCT
fumecheng-10736	177	29	es	es	X
fumecheng-10736	177	30	es	es	X
fumecheng-10736	177	31	es	es	PRON
fumecheng-10736	177	32	esd	esd	PROPN
fumecheng-10736	178	1	x	x	PUNCT
fumecheng-10736	178	2	t	t	PROPN
fumecheng-10736	178	3	k	k	X
fumecheng-10736	178	4	x	x	SYM
fumecheng-10736	178	5	t	t	PROPN
fumecheng-10736	178	6	k	k	X
fumecheng-10736	178	7	v	v	NOUN
fumecheng-10736	178	8	x	x	X
fumecheng-10736	178	9	t=	t=	PRON
fumecheng-10736	178	10			X
fumecheng-10736	178	11	=	=	X
fumecheng-10736	178	12	(	(	PUNCT
fumecheng-10736	178	13	27	27	NUM
fumecheng-10736	178	14	)	)	PUNCT
fumecheng-10736	178	15	6.2	6.2	NUM
fumecheng-10736	178	16	.	.	PUNCT
fumecheng-10736	179	1	equilibrium	equilibrium	NOUN
fumecheng-10736	179	2	equation	equation	NOUN
fumecheng-10736	179	3	:	:	PUNCT
fumecheng-10736	179	4	hamilton	hamilton	PROPN
fumecheng-10736	179	5	’s	’s	PART
fumecheng-10736	179	6	principle	principle	NOUN
fumecheng-10736	179	7	for	for	ADP
fumecheng-10736	179	8	an	an	DET
fumecheng-10736	179	9	isotropic	isotropic	ADJ
fumecheng-10736	179	10	linear	linear	ADJ
fumecheng-10736	179	11	elastic	elastic	ADJ
fumecheng-10736	179	12	material	material	NOUN
fumecheng-10736	179	13	,	,	PUNCT
fumecheng-10736	179	14	the	the	DET
fumecheng-10736	179	15	stored	store	VERB
fumecheng-10736	179	16	strain	strain	NOUN
fumecheng-10736	179	17	energy	energy	NOUN
fumecheng-10736	179	18	u	u	NOUN
fumecheng-10736	179	19	of	of	ADP
fumecheng-10736	179	20	the	the	DET
fumecheng-10736	179	21	nanobeamsubstrate	nanobeamsubstrate	ADJ
fumecheng-10736	179	22	medium	medium	ADJ
fumecheng-10736	179	23	system	system	NOUN
fumecheng-10736	179	24	of	of	ADP
fumecheng-10736	179	25	fig	fig	NOUN
fumecheng-10736	179	26	.	.	PUNCT
fumecheng-10736	180	1	2(a	2(a	NUM
fumecheng-10736	180	2	)	)	PUNCT
fumecheng-10736	180	3	can	can	AUX
fumecheng-10736	180	4	be	be	AUX
fumecheng-10736	180	5	defined	define	VERB
fumecheng-10736	180	6	as	as	ADP
fumecheng-10736	180	7	:	:	SYM
fumecheng-10736	180	8	2	2	NUM
fumecheng-10736	180	9	2	2	NUM
fumecheng-10736	180	10	2	2	NUM
fumecheng-10736	180	11	2	2	NUM
fumecheng-10736	180	12	2	2	NUM
fumecheng-10736	180	13	20	20	NUM
fumecheng-10736	180	14	0	0	NUM
fumecheng-10736	180	15	02	02	NUM
fumecheng-10736	180	16	2	2	NUM
fumecheng-10736	180	17	0	0	NUM
fumecheng-10736	180	18	0	0	NUM
fumecheng-10736	180	19	0	0	NUM
fumecheng-10736	180	20	elastic	elastic	ADJ
fumecheng-10736	180	21	substrate	substrate	NOUN
fumecheng-10736	180	22	medium	medium	ADJ
fumecheng-10736	180	23	contributionlocal	contributionlocal	ADJ
fumecheng-10736	180	24	stress	stress	NOUN
fumecheng-10736	180	25	contribution	contribution	NOUN
fumecheng-10736	180	26	couple	couple	NOUN
fumecheng-10736	180	27	stress	stress	NOUN
fumecheng-10736	180	28	contribution	contribution	NOUN
fumecheng-10736	180	29	(	(	PUNCT
fumecheng-10736	180	30	,	,	PUNCT
fumecheng-10736	180	31	)	)	PUNCT
fumecheng-10736	180	32	(	(	PUNCT
fumecheng-10736	180	33	,	,	PUNCT
fumecheng-10736	180	34	)	)	PUNCT
fumecheng-10736	180	35	1	1	NUM
fumecheng-10736	180	36	1	1	NUM
fumecheng-10736	180	37	1	1	NUM
fumecheng-10736	180	38	(	(	PUNCT
fumecheng-10736	180	39	(	(	PUNCT
fumecheng-10736	180	40	,	,	PUNCT
fumecheng-10736	180	41	)	)	PUNCT
fumecheng-10736	180	42	)	)	PUNCT
fumecheng-10736	180	43	2	2	NUM
fumecheng-10736	180	44	2	2	NUM
fumecheng-10736	180	45	2	2	NUM
fumecheng-10736	180	46	1	1	NUM
fumecheng-10736	180	47	l	l	NOUN
fumecheng-10736	180	48	l	l	NOUN
fumecheng-10736	180	49	l	l	NOUN
fumecheng-10736	181	1	xx	xx	NUM
fumecheng-10736	181	2	m	m	VERB
fumecheng-10736	181	3	es	es	X
fumecheng-10736	181	4	v	v	NOUN
fumecheng-10736	181	5	x	x	SYM
fumecheng-10736	181	6	t	t	NOUN
fumecheng-10736	181	7	v	v	NUM
fumecheng-10736	181	8	x	x	SYM
fumecheng-10736	181	9	t	t	NOUN
fumecheng-10736	181	10	u	u	X
fumecheng-10736	181	11	e	e	PROPN
fumecheng-10736	182	1	i	i	PRON
fumecheng-10736	182	2	dx	dx	PROPN
fumecheng-10736	182	3	al	al	PROPN
fumecheng-10736	182	4	dx	dx	PROPN
fumecheng-10736	183	1	k	k	PROPN
fumecheng-10736	183	2	v	v	PROPN
fumecheng-10736	183	3	x	x	SYM
fumecheng-10736	183	4	t	t	NOUN
fumecheng-10736	183	5	dx	dx	PROPN
fumecheng-10736	183	6	x	x	SYM
fumecheng-10736	183	7	x	x	PUNCT
fumecheng-10736	183	8			NOUN
fumecheng-10736	183	9			NOUN
fumecheng-10736	183	10			PROPN
fumecheng-10736	183	11			NOUN
fumecheng-10736	183	12			PROPN
fumecheng-10736	183	13			ADJ
fumecheng-10736	183	14	=	=	PUNCT
fumecheng-10736	184	1	+	+	PUNCT
fumecheng-10736	185	1	+	+	ADJ
fumecheng-10736	185	2			PROPN
fumecheng-10736	185	3			PROPN
fumecheng-10736	186	1			PROPN
fumecheng-10736	186	2			PROPN
fumecheng-10736	186	3			PROPN
fumecheng-10736	186	4			ADJ
fumecheng-10736	186	5			NOUN
fumecheng-10736	186	6			PROPN
fumecheng-10736	186	7			NOUN
fumecheng-10736	186	8	+	+	CCONJ
fumecheng-10736	186	9			NOUN
fumecheng-10736	186	10			NOUN
fumecheng-10736	186	11			PUNCT
fumecheng-10736	186	12	in	in	ADP
fumecheng-10736	186	13	-	-	PUNCT
fumecheng-10736	186	14	plane	plane	NOUN
fumecheng-10736	186	15	component	component	NOUN
fumecheng-10736	186	16	out	out	ADP
fumecheng-10736	186	17	-	-	PUNCT
fumecheng-10736	186	18	of	of	ADP
fumecheng-10736	186	19	-	-	PUNCT
fumecheng-10736	186	20	plane	plane	NOUN
fumecheng-10736	186	21	component	component	NOUN
fumecheng-10736	186	22	2	2	NUM
fumecheng-10736	186	23	2	2	NUM
fumecheng-10736	186	24	23	23	NUM
fumecheng-10736	186	25	2	2	NUM
fumecheng-10736	186	26	2	2	NUM
fumecheng-10736	186	27	20	20	NUM
fumecheng-10736	186	28	0	0	NUM
fumecheng-10736	186	29	0	0	NUM
fumecheng-10736	186	30	3	3	NUM
fumecheng-10736	186	31	2	2	NUM
fumecheng-10736	186	32	0	0	NUM
fumecheng-10736	186	33	0	0	NUM
fumecheng-10736	186	34	0	0	NUM
fumecheng-10736	186	35	strain	strain	NOUN
fumecheng-10736	186	36	gradient	gradient	NOUN
fumecheng-10736	186	37	contribution	contribution	NOUN
fumecheng-10736	186	38	(	(	PUNCT
fumecheng-10736	186	39	,	,	PUNCT
fumecheng-10736	186	40	)	)	PUNCT
fumecheng-10736	186	41	(	(	PUNCT
fumecheng-10736	186	42	,	,	PUNCT
fumecheng-10736	186	43	)	)	PUNCT
fumecheng-10736	186	44	(	(	PUNCT
fumecheng-10736	187	1	,	,	PUNCT
fumecheng-10736	187	2	)	)	PUNCT
fumecheng-10736	187	3	1	1	NUM
fumecheng-10736	187	4	2	2	NUM
fumecheng-10736	187	5	1	1	NUM
fumecheng-10736	187	6	2	2	NUM
fumecheng-10736	187	7	2	2	NUM
fumecheng-10736	187	8	2	2	NUM
fumecheng-10736	187	9	3	3	NUM
fumecheng-10736	187	10	2	2	NUM
fumecheng-10736	187	11	l	l	NOUN
fumecheng-10736	187	12	l	l	NOUN
fumecheng-10736	187	13	l	l	NOUN
fumecheng-10736	187	14	s	s	NOUN
fumecheng-10736	187	15	s	s	X
fumecheng-10736	187	16	v	v	NOUN
fumecheng-10736	187	17	x	x	SYM
fumecheng-10736	187	18	t	t	NOUN
fumecheng-10736	187	19	v	v	NUM
fumecheng-10736	187	20	x	x	SYM
fumecheng-10736	187	21	t	t	PROPN
fumecheng-10736	187	22	v	v	NOUN
fumecheng-10736	187	23	x	x	SYM
fumecheng-10736	187	24	t	t	PROPN
fumecheng-10736	187	25	il	il	PROPN
fumecheng-10736	187	26	dx	dx	PROPN
fumecheng-10736	187	27	al	al	PROPN
fumecheng-10736	187	28	dx	dx	PROPN
fumecheng-10736	188	1	p	p	PROPN
fumecheng-10736	188	2	xx	xx	NUM
fumecheng-10736	188	3	x	x	NOUN
fumecheng-10736	188	4			NOUN
fumecheng-10736	188	5			NOUN
fumecheng-10736	188	6			NOUN
fumecheng-10736	189	1			PROPN
fumecheng-10736	189	2			NOUN
fumecheng-10736	189	3			PROPN
fumecheng-10736	189	4			PROPN
fumecheng-10736	189	5			PRON
fumecheng-10736	189	6			PROPN
fumecheng-10736	189	7	+	+	CCONJ
fumecheng-10736	189	8	−	−	PROPN
fumecheng-10736	190	1			PROPN
fumecheng-10736	191	1			PROPN
fumecheng-10736	192	1			INTJ
fumecheng-10736	193	1			PROPN
fumecheng-10736	193	2			PROPN
fumecheng-10736	194	1			PROPN
fumecheng-10736	194	2			PROPN
fumecheng-10736	194	3			PROPN
fumecheng-10736	194	4			NOUN
fumecheng-10736	194	5			NOUN
fumecheng-10736	194	6			PROPN
fumecheng-10736	194	7			NOUN
fumecheng-10736	194	8			PUNCT
fumecheng-10736	194	9			ADP
fumecheng-10736	194	10	applied	apply	VERB
fumecheng-10736	194	11	axial	axial	ADJ
fumecheng-10736	194	12	load	load	NOUN
fumecheng-10736	194	13	contribution	contribution	NOUN
fumecheng-10736	194	14	in	in	ADP
fumecheng-10736	194	15	-	-	PUNCT
fumecheng-10736	194	16	plane	plane	NOUN
fumecheng-10736	194	17	component	component	NOUN
fumecheng-10736	194	18	out	out	ADP
fumecheng-10736	194	19	-	-	PUNCT
fumecheng-10736	194	20	of	of	ADP
fumecheng-10736	194	21	2	2	NUM
fumecheng-10736	194	22	22	22	NUM
fumecheng-10736	194	23	0	0	NUM
fumecheng-10736	194	24	0	0	NUM
fumecheng-10736	194	25	2	2	NUM
fumecheng-10736	194	26	0	0	NUM
fumecheng-10736	194	27	0	0	NUM
fumecheng-10736	194	28	surface	surface	NOUN
fumecheng-10736	194	29	-	-	PUNCT
fumecheng-10736	194	30	induced	induce	VERB
fumecheng-10736	194	31	distributed	distribute	VERB
fumecheng-10736	194	32	moment	moment	NOUN
fumecheng-10736	194	33	contribution	contribution	NOUN
fumecheng-10736	194	34	(	(	PUNCT
fumecheng-10736	194	35	,	,	PUNCT
fumecheng-10736	194	36	)	)	PUNCT
fumecheng-10736	194	37	(	(	PUNCT
fumecheng-10736	194	38	,	,	PUNCT
fumecheng-10736	194	39	)	)	PUNCT
fumecheng-10736	194	40	1	1	NUM
fumecheng-10736	194	41	1	1	NUM
fumecheng-10736	194	42	2	2	NUM
fumecheng-10736	194	43	2	2	NUM
fumecheng-10736	194	44	l	l	NOUN
fumecheng-10736	194	45	l	l	X
fumecheng-10736	194	46	sur	sur	PROPN
fumecheng-10736	194	47	sur	sur	PROPN
fumecheng-10736	194	48	xx	xx	NUM
fumecheng-10736	194	49	res	re	VERB
fumecheng-10736	194	50	dx	dx	PROPN
fumecheng-10736	194	51	v	v	INTJ
fumecheng-10736	194	52	x	x	SYM
fumecheng-10736	194	53	t	t	NOUN
fumecheng-10736	194	54	v	v	NOUN
fumecheng-10736	194	55	x	x	SYM
fumecheng-10736	194	56	t	t	NOUN
fumecheng-10736	194	57	e	e	NOUN
fumecheng-10736	195	1	i	i	PRON
fumecheng-10736	195	2	dx	dx	PROPN
fumecheng-10736	195	3	s	s	PROPN
fumecheng-10736	195	4	dx	dx	PROPN
fumecheng-10736	195	5	xx	xx	NUM
fumecheng-10736	196	1			CCONJ
fumecheng-10736	196	2			VERB
fumecheng-10736	196	3			NOUN
fumecheng-10736	196	4			NOUN
fumecheng-10736	196	5			PROPN
fumecheng-10736	196	6			NOUN
fumecheng-10736	196	7	+	+	CCONJ
fumecheng-10736	197	1	+	+	ADV
fumecheng-10736	197	2			PROPN
fumecheng-10736	197	3			PROPN
fumecheng-10736	198	1			PROPN
fumecheng-10736	198	2			PROPN
fumecheng-10736	198	3			PROPN
fumecheng-10736	198	4			PROPN
fumecheng-10736	198	5			NOUN
fumecheng-10736	198	6			NOUN
fumecheng-10736	198	7			PUNCT
fumecheng-10736	198	8			NOUN
fumecheng-10736	198	9			PUNCT
fumecheng-10736	198	10	-plane	-plane	ADJ
fumecheng-10736	198	11	component	component	NOUN
fumecheng-10736	198	12	surface	surface	NOUN
fumecheng-10736	198	13	-	-	PUNCT
fumecheng-10736	198	14	induced	induce	VERB
fumecheng-10736	198	15	shear	shear	NOUN
fumecheng-10736	198	16	force	force	NOUN
fumecheng-10736	198	17	contribution	contribution	NOUN
fumecheng-10736	198	18	(	(	PUNCT
fumecheng-10736	198	19	28	28	NUM
fumecheng-10736	198	20	)	)	PUNCT
fumecheng-10736	198	21	where	where	SCONJ
fumecheng-10736	198	22	p	p	NOUN
fumecheng-10736	198	23	is	be	AUX
fumecheng-10736	198	24	the	the	DET
fumecheng-10736	198	25	applied	apply	VERB
fumecheng-10736	198	26	axial	axial	ADJ
fumecheng-10736	198	27	force	force	NOUN
fumecheng-10736	198	28	;	;	PUNCT
fumecheng-10736	198	29	l	l	NOUN
fumecheng-10736	198	30	is	be	AUX
fumecheng-10736	198	31	the	the	DET
fumecheng-10736	198	32	nanobeam	nanobeam	ADJ
fumecheng-10736	198	33	length	length	NOUN
fumecheng-10736	198	34	;	;	PUNCT
fumecheng-10736	198	35	г	г	PROPN
fumecheng-10736	198	36	is	be	AUX
fumecheng-10736	198	37	the	the	DET
fumecheng-10736	198	38	beam	beam	PROPN
fumecheng-10736	198	39	section	section	NOUN
fumecheng-10736	198	40	perimeter	perimeter	NOUN
fumecheng-10736	198	41	;	;	PUNCT
fumecheng-10736	198	42	a	a	DET
fumecheng-10736	198	43	a	a	DET
fumecheng-10736	198	44	da=	da=	PROPN
fumecheng-10736	198	45			ADP
fumecheng-10736	198	46	is	be	AUX
fumecheng-10736	198	47	the	the	DET
fumecheng-10736	198	48	sectional	sectional	ADJ
fumecheng-10736	198	49	area	area	NOUN
fumecheng-10736	198	50	;	;	PUNCT
fumecheng-10736	198	51	2	2	NUM
fumecheng-10736	198	52	a	a	PRON
fumecheng-10736	198	53	i	i	PRON
fumecheng-10736	198	54	y	y	PROPN
fumecheng-10736	198	55	da=	da=	ADV
fumecheng-10736	198	56			PUNCT
fumecheng-10736	198	57	is	be	AUX
fumecheng-10736	198	58	the	the	DET
fumecheng-10736	198	59	second	second	ADJ
fumecheng-10736	198	60	moment	moment	NOUN
fumecheng-10736	198	61	of	of	ADP
fumecheng-10736	198	62	area	area	NOUN
fumecheng-10736	198	63	;	;	PUNCT
fumecheng-10736	198	64	2i	2i	NUM
fumecheng-10736	198	65	y	y	PROPN
fumecheng-10736	198	66	d	d	PROPN
fumecheng-10736	198	67			VERB
fumecheng-10736	198	68	=	=	NOUN
fumecheng-10736	198	69			NOUN
fumecheng-10736	198	70	is	be	AUX
fumecheng-10736	198	71	the	the	DET
fumecheng-10736	198	72	second	second	ADJ
fumecheng-10736	198	73	moment	moment	NOUN
fumecheng-10736	198	74	of	of	ADP
fumecheng-10736	198	75	perimeter	perimeter	NOUN
fumecheng-10736	198	76	;	;	PUNCT
fumecheng-10736	198	77	and	and	CCONJ
fumecheng-10736	198	78	2	2	NUM
fumecheng-10736	198	79	ys	ys	NOUN
fumecheng-10736	198	80	n	n	PROPN
fumecheng-10736	198	81	d	d	PROPN
fumecheng-10736	198	82			VERB
fumecheng-10736	198	83	=	=	SYM
fumecheng-10736	198	84			NOUN
fumecheng-10736	198	85	.	.	PUNCT
fumecheng-10736	199	1	the	the	DET
fumecheng-10736	199	2	first	first	ADJ
fumecheng-10736	199	3	variation	variation	NOUN
fumecheng-10736	199	4	of	of	ADP
fumecheng-10736	199	5	the	the	DET
fumecheng-10736	199	6	stored	store	VERB
fumecheng-10736	199	7	strain	strain	NOUN
fumecheng-10736	199	8	energy	energy	NOUN
fumecheng-10736	199	9	u	u	NOUN
fumecheng-10736	199	10	of	of	ADP
fumecheng-10736	199	11	eq	eq	PROPN
fumecheng-10736	199	12	.	.	PUNCT
fumecheng-10736	200	1	(	(	PUNCT
fumecheng-10736	200	2	28	28	NUM
fumecheng-10736	200	3	)	)	PUNCT
fumecheng-10736	200	4	during	during	ADP
fumecheng-10736	200	5	the	the	DET
fumecheng-10736	200	6	time	time	NOUN
fumecheng-10736	200	7	interval	interval	NOUN
fumecheng-10736	200	8	[	[	X
fumecheng-10736	200	9	0	0	NUM
fumecheng-10736	200	10	,	,	PUNCT
fumecheng-10736	200	11	t	t	PROPN
fumecheng-10736	200	12	]	]	PUNCT
fumecheng-10736	200	13	is	be	AUX
fumecheng-10736	200	14	:	:	PUNCT
fumecheng-10736	200	15	570	570	NUM
fumecheng-10736	200	16	s.	s.	PROPN
fumecheng-10736	200	17	limkatanyu	limkatanyu	PROPN
fumecheng-10736	200	18	,	,	PUNCT
fumecheng-10736	200	19	w.	w.	PROPN
fumecheng-10736	200	20	sae	sae	PROPN
fumecheng-10736	200	21	-	-	PROPN
fumecheng-10736	200	22	long	long	ADV
fumecheng-10736	200	23	,	,	PUNCT
fumecheng-10736	200	24	j.	j.	PROPN
fumecheng-10736	200	25	rungamornrat	rungamornrat	PROPN
fumecheng-10736	200	26	,	,	PUNCT
fumecheng-10736	200	27	et	et	PROPN
fumecheng-10736	200	28	al	al	PROPN
fumecheng-10736	200	29	.	.	PROPN
fumecheng-10736	200	30	2	2	NUM
fumecheng-10736	200	31	2	2	NUM
fumecheng-10736	200	32	2	2	NUM
fumecheng-10736	200	33	2	2	NUM
fumecheng-10736	200	34	20	20	NUM
fumecheng-10736	200	35	0	0	NUM
fumecheng-10736	200	36	0	0	NUM
fumecheng-10736	200	37	0	0	NUM
fumecheng-10736	200	38	2	2	NUM
fumecheng-10736	200	39	2	2	NUM
fumecheng-10736	200	40	2	2	NUM
fumecheng-10736	200	41	2	2	NUM
fumecheng-10736	200	42	0	0	NUM
fumecheng-10736	200	43	0	0	NUM
fumecheng-10736	200	44	0	0	NUM
fumecheng-10736	200	45	3	3	NUM
fumecheng-10736	200	46	3	3	NUM
fumecheng-10736	200	47	2	2	NUM
fumecheng-10736	200	48	2	2	NUM
fumecheng-10736	200	49	2	2	NUM
fumecheng-10736	200	50	20	20	NUM
fumecheng-10736	200	51	0	0	NUM
fumecheng-10736	200	52	0	0	NUM
fumecheng-10736	200	53	0	0	NUM
fumecheng-10736	200	54	3	3	NUM
fumecheng-10736	200	55	3	3	NUM
fumecheng-10736	200	56	2	2	NUM
fumecheng-10736	200	57	2	2	NUM
fumecheng-10736	200	58	0	0	NUM
fumecheng-10736	200	59	0	0	NUM
fumecheng-10736	200	60	(	(	PUNCT
fumecheng-10736	200	61	,	,	PUNCT
fumecheng-10736	200	62	)	)	PUNCT
fumecheng-10736	200	63	(	(	PUNCT
fumecheng-10736	200	64	,	,	PUNCT
fumecheng-10736	200	65	)	)	PUNCT
fumecheng-10736	200	66	(	(	PUNCT
fumecheng-10736	200	67	,	,	PUNCT
fumecheng-10736	200	68	)	)	PUNCT
fumecheng-10736	200	69	(	(	PUNCT
fumecheng-10736	200	70	,	,	PUNCT
fumecheng-10736	200	71	)	)	PUNCT
fumecheng-10736	200	72	(	(	PUNCT
fumecheng-10736	200	73	,	,	PUNCT
fumecheng-10736	200	74	)	)	PUNCT
fumecheng-10736	200	75	(	(	PUNCT
fumecheng-10736	200	76	,	,	PUNCT
fumecheng-10736	200	77	)	)	PUNCT
fumecheng-10736	200	78	(	(	PUNCT
fumecheng-10736	200	79	,	,	PUNCT
fumecheng-10736	200	80	)	)	PUNCT
fumecheng-10736	200	81	(	(	PUNCT
fumecheng-10736	200	82	,	,	PUNCT
fumecheng-10736	200	83	)	)	PUNCT
fumecheng-10736	200	84	2	2	NUM
fumecheng-10736	200	85	2	2	NUM
fumecheng-10736	200	86	3	3	NUM
fumecheng-10736	200	87	t	t	NOUN
fumecheng-10736	200	88	l	l	NOUN
fumecheng-10736	200	89	l	l	NOUN
fumecheng-10736	201	1	xx	xx	NUM
fumecheng-10736	201	2	m	m	VERB
fumecheng-10736	201	3	l	l	NOUN
fumecheng-10736	201	4	l	l	NOUN
fumecheng-10736	201	5	s	s	NOUN
fumecheng-10736	201	6	s	s	X
fumecheng-10736	201	7	v	v	NOUN
fumecheng-10736	201	8	x	x	SYM
fumecheng-10736	201	9	t	t	NOUN
fumecheng-10736	201	10	v	v	NUM
fumecheng-10736	201	11	x	x	SYM
fumecheng-10736	201	12	t	t	PROPN
fumecheng-10736	201	13	v	v	NUM
fumecheng-10736	201	14	x	x	SYM
fumecheng-10736	201	15	t	t	PROPN
fumecheng-10736	201	16	v	v	NUM
fumecheng-10736	201	17	x	x	SYM
fumecheng-10736	201	18	t	t	NOUN
fumecheng-10736	201	19	u	u	X
fumecheng-10736	201	20	e	e	PROPN
fumecheng-10736	202	1	i	i	PRON
fumecheng-10736	202	2	dx	dx	PROPN
fumecheng-10736	202	3	al	al	PROPN
fumecheng-10736	202	4	dx	dx	PROPN
fumecheng-10736	202	5	x	x	PUNCT
fumecheng-10736	203	1	x	x	PUNCT
fumecheng-10736	203	2	x	x	PUNCT
fumecheng-10736	203	3	x	x	SYM
fumecheng-10736	203	4	v	v	NUM
fumecheng-10736	203	5	x	x	SYM
fumecheng-10736	203	6	t	t	NOUN
fumecheng-10736	203	7	v	v	NOUN
fumecheng-10736	203	8	x	x	SYM
fumecheng-10736	203	9	t	t	PROPN
fumecheng-10736	203	10	v	v	NUM
fumecheng-10736	203	11	x	x	SYM
fumecheng-10736	203	12	t	t	PROPN
fumecheng-10736	203	13	v	v	NOUN
fumecheng-10736	203	14	x	x	SYM
fumecheng-10736	203	15	t	t	PROPN
fumecheng-10736	203	16	il	il	PROPN
fumecheng-10736	203	17	dx	dx	PROPN
fumecheng-10736	203	18	al	al	PROPN
fumecheng-10736	203	19	x	x	PROPN
fumecheng-10736	204	1	x	x	PUNCT
fumecheng-10736	204	2	x	x	PUNCT
fumecheng-10736	204	3	x	x	SYM
fumecheng-10736	204	4			NUM
fumecheng-10736	204	5			NUM
fumecheng-10736	204	6			NUM
fumecheng-10736	204	7			NOUN
fumecheng-10736	204	8			NUM
fumecheng-10736	204	9			NUM
fumecheng-10736	204	10			NOUN
fumecheng-10736	204	11			NOUN
fumecheng-10736	204	12			NOUN
fumecheng-10736	204	13			NOUN
fumecheng-10736	204	14			PROPN
fumecheng-10736	204	15			PROPN
fumecheng-10736	204	16			NOUN
fumecheng-10736	204	17			PROPN
fumecheng-10736	204	18			PROPN
fumecheng-10736	204	19			ADJ
fumecheng-10736	204	20			ADJ
fumecheng-10736	204	21			PROPN
fumecheng-10736	204	22	=	=	SYM
fumecheng-10736	205	1	+	+	NOUN
fumecheng-10736	205	2			NOUN
fumecheng-10736	205	3			PROPN
fumecheng-10736	205	4			NOUN
fumecheng-10736	205	5			PROPN
fumecheng-10736	205	6			PROPN
fumecheng-10736	205	7			NOUN
fumecheng-10736	206	1			PRON
fumecheng-10736	206	2			ADJ
fumecheng-10736	206	3			ADJ
fumecheng-10736	206	4			PROPN
fumecheng-10736	206	5			ADP
fumecheng-10736	206	6			PROPN
fumecheng-10736	206	7			NOUN
fumecheng-10736	206	8			NOUN
fumecheng-10736	206	9			PROPN
fumecheng-10736	206	10			NOUN
fumecheng-10736	206	11			PROPN
fumecheng-10736	206	12			NOUN
fumecheng-10736	206	13			PROPN
fumecheng-10736	206	14			PROPN
fumecheng-10736	206	15			NOUN
fumecheng-10736	206	16			PROPN
fumecheng-10736	206	17			PROPN
fumecheng-10736	206	18			ADJ
fumecheng-10736	206	19			ADJ
fumecheng-10736	206	20			PROPN
fumecheng-10736	206	21	+	+	PUNCT
fumecheng-10736	207	1	+	+	ADJ
fumecheng-10736	207	2			PROPN
fumecheng-10736	207	3			NOUN
fumecheng-10736	207	4			PROPN
fumecheng-10736	207	5			PROPN
fumecheng-10736	207	6			NOUN
fumecheng-10736	208	1			PRON
fumecheng-10736	208	2			ADJ
fumecheng-10736	208	3			PROPN
fumecheng-10736	208	4			PROPN
fumecheng-10736	208	5			VERB
fumecheng-10736	208	6			NOUN
fumecheng-10736	208	7			NOUN
fumecheng-10736	208	8			PROPN
fumecheng-10736	208	9			NOUN
fumecheng-10736	208	10			NOUN
fumecheng-10736	208	11			PUNCT
fumecheng-10736	208	12			X
fumecheng-10736	208	13			NOUN
fumecheng-10736	209	1			SYM
fumecheng-10736	209	2	2	2	NUM
fumecheng-10736	209	3	2	2	NUM
fumecheng-10736	209	4	0	0	NUM
fumecheng-10736	209	5	0	0	NUM
fumecheng-10736	209	6	0	0	NUM
fumecheng-10736	209	7	0	0	NUM
fumecheng-10736	209	8	2	2	NUM
fumecheng-10736	209	9	2	2	NUM
fumecheng-10736	209	10	0	0	NUM
fumecheng-10736	209	11	0	0	NUM
fumecheng-10736	209	12	0	0	NUM
fumecheng-10736	209	13	0	0	NUM
fumecheng-10736	209	14	0	0	NUM
fumecheng-10736	209	15	0	0	NUM
fumecheng-10736	209	16	0	0	NUM
fumecheng-10736	209	17	0	0	NUM
fumecheng-10736	209	18	(	(	PUNCT
fumecheng-10736	209	19	,	,	PUNCT
fumecheng-10736	209	20	)	)	PUNCT
fumecheng-10736	209	21	(	(	PUNCT
fumecheng-10736	209	22	,	,	PUNCT
fumecheng-10736	209	23	)	)	PUNCT
fumecheng-10736	209	24	(	(	PUNCT
fumecheng-10736	209	25	,	,	PUNCT
fumecheng-10736	209	26	)	)	PUNCT
fumecheng-10736	209	27	(	(	PUNCT
fumecheng-10736	209	28	,	,	PUNCT
fumecheng-10736	209	29	)	)	PUNCT
fumecheng-10736	209	30	(	(	PUNCT
fumecheng-10736	209	31	,	,	PUNCT
fumecheng-10736	209	32	)	)	PUNCT
fumecheng-10736	209	33	(	(	PUNCT
fumecheng-10736	209	34	,	,	PUNCT
fumecheng-10736	209	35	)	)	PUNCT
fumecheng-10736	209	36	(	(	PUNCT
fumecheng-10736	209	37	(	(	PUNCT
fumecheng-10736	209	38	,	,	PUNCT
fumecheng-10736	209	39	)	)	PUNCT
fumecheng-10736	209	40	)	)	PUNCT
fumecheng-10736	209	41	(	(	PUNCT
fumecheng-10736	209	42	(	(	PUNCT
fumecheng-10736	209	43	,	,	PUNCT
fumecheng-10736	209	44	)	)	PUNCT
fumecheng-10736	209	45	)	)	PUNCT
fumecheng-10736	210	1	l	l	NOUN
fumecheng-10736	210	2	l	l	X
fumecheng-10736	210	3	sur	sur	PROPN
fumecheng-10736	210	4	sur	sur	PROPN
fumecheng-10736	210	5	xx	xx	NUM
fumecheng-10736	210	6	res	re	NOUN
fumecheng-10736	210	7	l	l	PROPN
fumecheng-10736	210	8	l	l	NOUN
fumecheng-10736	210	9	es	es	X
fumecheng-10736	210	10	dx	dx	PROPN
fumecheng-10736	210	11	v	v	INTJ
fumecheng-10736	210	12	x	x	SYM
fumecheng-10736	210	13	t	t	NOUN
fumecheng-10736	210	14	v	v	NUM
fumecheng-10736	210	15	x	x	SYM
fumecheng-10736	210	16	t	t	PROPN
fumecheng-10736	210	17	v	v	NUM
fumecheng-10736	210	18	x	x	SYM
fumecheng-10736	210	19	t	t	PROPN
fumecheng-10736	210	20	v	v	NOUN
fumecheng-10736	210	21	x	x	SYM
fumecheng-10736	210	22	t	t	NOUN
fumecheng-10736	210	23	e	e	NOUN
fumecheng-10736	211	1	i	i	PRON
fumecheng-10736	211	2	dx	dx	PROPN
fumecheng-10736	211	3	s	s	PROPN
fumecheng-10736	211	4	dx	dx	PROPN
fumecheng-10736	211	5	x	x	PROPN
fumecheng-10736	212	1	xx	xx	NUM
fumecheng-10736	212	2	x	x	SYM
fumecheng-10736	212	3	v	v	PROPN
fumecheng-10736	212	4	x	x	SYM
fumecheng-10736	212	5	t	t	NOUN
fumecheng-10736	212	6	v	v	NOUN
fumecheng-10736	212	7	x	x	SYM
fumecheng-10736	212	8	t	t	PROPN
fumecheng-10736	212	9	k	k	X
fumecheng-10736	212	10	v	v	PROPN
fumecheng-10736	212	11	x	x	SYM
fumecheng-10736	212	12	t	t	NOUN
fumecheng-10736	212	13	v	v	NOUN
fumecheng-10736	212	14	x	x	SYM
fumecheng-10736	212	15	t	t	NOUN
fumecheng-10736	212	16	dx	dx	PROPN
fumecheng-10736	213	1	p	p	PROPN
fumecheng-10736	213	2	dx	dx	PROPN
fumecheng-10736	213	3	dt	dt	NOUN
fumecheng-10736	213	4	x	x	PUNCT
fumecheng-10736	213	5	x	x	X
fumecheng-10736	213	6			NUM
fumecheng-10736	213	7			NUM
fumecheng-10736	213	8			NOUN
fumecheng-10736	213	9			NUM
fumecheng-10736	213	10			NUM
fumecheng-10736	213	11			VERB
fumecheng-10736	213	12			VERB
fumecheng-10736	213	13			NOUN
fumecheng-10736	213	14			PROPN
fumecheng-10736	213	15			VERB
fumecheng-10736	213	16			ADJ
fumecheng-10736	213	17			PROPN
fumecheng-10736	213	18			NUM
fumecheng-10736	213	19			PROPN
fumecheng-10736	213	20			NOUN
fumecheng-10736	213	21	+	+	CCONJ
fumecheng-10736	214	1	+	+	ADJ
fumecheng-10736	214	2			PROPN
fumecheng-10736	214	3			NOUN
fumecheng-10736	214	4			PROPN
fumecheng-10736	214	5			PROPN
fumecheng-10736	214	6			NOUN
fumecheng-10736	215	1			PROPN
fumecheng-10736	215	2			ADJ
fumecheng-10736	215	3			PROPN
fumecheng-10736	215	4			PROPN
fumecheng-10736	215	5			PROPN
fumecheng-10736	215	6			NOUN
fumecheng-10736	215	7			NOUN
fumecheng-10736	215	8			NOUN
fumecheng-10736	215	9			NOUN
fumecheng-10736	215	10			ADJ
fumecheng-10736	215	11			NUM
fumecheng-10736	215	12			PROPN
fumecheng-10736	215	13			PROPN
fumecheng-10736	215	14	+	+	CCONJ
fumecheng-10736	215	15	−	−	PROPN
fumecheng-10736	215	16			NOUN
fumecheng-10736	215	17			X
fumecheng-10736	216	1			PROPN
fumecheng-10736	216	2			PROPN
fumecheng-10736	216	3			VERB
fumecheng-10736	216	4			NOUN
fumecheng-10736	216	5			NOUN
fumecheng-10736	216	6			PROPN
fumecheng-10736	216	7			X
fumecheng-10736	216	8			X
fumecheng-10736	216	9			X
fumecheng-10736	216	10			X
fumecheng-10736	216	11			X
fumecheng-10736	216	12	(	(	PUNCT
fumecheng-10736	216	13	29	29	NUM
fumecheng-10736	216	14	)	)	PUNCT
fumecheng-10736	216	15	to	to	PART
fumecheng-10736	216	16	remove	remove	VERB
fumecheng-10736	216	17	all	all	DET
fumecheng-10736	216	18	differential	differential	ADJ
fumecheng-10736	216	19	operators	operator	NOUN
fumecheng-10736	216	20	from	from	ADP
fumecheng-10736	216	21	the	the	DET
fumecheng-10736	216	22	virtual	virtual	ADJ
fumecheng-10736	216	23	transverse	transverse	NOUN
fumecheng-10736	216	24	displacement	displacement	PROPN
fumecheng-10736	216	25	δv0(x	δv0(x	PROPN
fumecheng-10736	216	26	,	,	PUNCT
fumecheng-10736	216	27	t	t	PROPN
fumecheng-10736	216	28	)	)	PUNCT
fumecheng-10736	216	29	,	,	PUNCT
fumecheng-10736	216	30	the	the	DET
fumecheng-10736	216	31	integration	integration	NOUN
fumecheng-10736	216	32	by	by	ADP
fumecheng-10736	216	33	parts	part	NOUN
fumecheng-10736	216	34	is	be	AUX
fumecheng-10736	216	35	applied	apply	VERB
fumecheng-10736	216	36	to	to	ADP
fumecheng-10736	216	37	eq	eq	PROPN
fumecheng-10736	216	38	.	.	PUNCT
fumecheng-10736	217	1	(	(	PUNCT
fumecheng-10736	217	2	29	29	NUM
fumecheng-10736	217	3	)	)	PUNCT
fumecheng-10736	217	4	,	,	PUNCT
fumecheng-10736	217	5	thus	thus	ADV
fumecheng-10736	217	6	leading	lead	VERB
fumecheng-10736	217	7	to	to	ADP
fumecheng-10736	217	8	the	the	DET
fumecheng-10736	217	9	following	follow	VERB
fumecheng-10736	217	10	expression	expression	NOUN
fumecheng-10736	217	11	:	:	PUNCT
fumecheng-10736	218	1	6	6	NUM
fumecheng-10736	218	2	4	4	NUM
fumecheng-10736	218	3	2	2	NUM
fumecheng-10736	218	4	0	0	NUM
fumecheng-10736	218	5	0	0	NUM
fumecheng-10736	218	6	0	0	NUM
fumecheng-10736	218	7	0	0	NUM
fumecheng-10736	218	8	06	06	NUM
fumecheng-10736	218	9	4	4	NUM
fumecheng-10736	218	10	2	2	NUM
fumecheng-10736	218	11	0	0	NUM
fumecheng-10736	218	12	0	0	NUM
fumecheng-10736	218	13	5	5	NUM
fumecheng-10736	218	14	3	3	NUM
fumecheng-10736	218	15	0	0	NUM
fumecheng-10736	218	16	0	0	NUM
fumecheng-10736	218	17	0	0	NUM
fumecheng-10736	218	18	0	0	NUM
fumecheng-10736	218	19	5	5	NUM
fumecheng-10736	218	20	3	3	NUM
fumecheng-10736	218	21	0	0	NUM
fumecheng-10736	218	22	0	0	NUM
fumecheng-10736	219	1	(	(	PUNCT
fumecheng-10736	219	2	,	,	PUNCT
fumecheng-10736	219	3	)	)	PUNCT
fumecheng-10736	219	4	(	(	PUNCT
fumecheng-10736	219	5	,	,	PUNCT
fumecheng-10736	219	6	)	)	PUNCT
fumecheng-10736	219	7	(	(	PUNCT
fumecheng-10736	219	8	,	,	PUNCT
fumecheng-10736	219	9	)	)	PUNCT
fumecheng-10736	219	10	(	(	PUNCT
fumecheng-10736	219	11	,	,	PUNCT
fumecheng-10736	219	12	)	)	PUNCT
fumecheng-10736	219	13	(	(	PUNCT
fumecheng-10736	219	14	)	)	PUNCT
fumecheng-10736	219	15	(	(	PUNCT
fumecheng-10736	219	16	)	)	PUNCT
fumecheng-10736	219	17	(	(	PUNCT
fumecheng-10736	219	18	,	,	PUNCT
fumecheng-10736	219	19	)	)	PUNCT
fumecheng-10736	219	20	(	(	PUNCT
fumecheng-10736	219	21	)	)	PUNCT
fumecheng-10736	219	22	(	(	PUNCT
fumecheng-10736	219	23	,	,	PUNCT
fumecheng-10736	219	24	)	)	PUNCT
fumecheng-10736	219	25	(	(	PUNCT
fumecheng-10736	219	26	,	,	PUNCT
fumecheng-10736	219	27	)	)	PUNCT
fumecheng-10736	219	28	(	(	PUNCT
fumecheng-10736	219	29	,	,	PUNCT
fumecheng-10736	219	30	)	)	PUNCT
fumecheng-10736	219	31	(	(	PUNCT
fumecheng-10736	219	32	,	,	PUNCT
fumecheng-10736	219	33	)	)	PUNCT
fumecheng-10736	219	34	(	(	PUNCT
fumecheng-10736	219	35	)	)	PUNCT
fumecheng-10736	219	36	(	(	PUNCT
fumecheng-10736	219	37	)	)	PUNCT
fumecheng-10736	219	38	(	(	PUNCT
fumecheng-10736	219	39	)	)	PUNCT
fumecheng-10736	219	40	t	t	NOUN
fumecheng-10736	219	41	l	l	NOUN
fumecheng-10736	219	42	h	h	NOUN
fumecheng-10736	220	1	l	l	NOUN
fumecheng-10736	220	2	sur	sur	PROPN
fumecheng-10736	220	3	eff	eff	PROPN
fumecheng-10736	220	4	eff	eff	PROPN
fumecheng-10736	220	5	es	es	PROPN
fumecheng-10736	220	6	res	re	NOUN
fumecheng-10736	220	7	x	x	PROPN
fumecheng-10736	220	8	l	l	NOUN
fumecheng-10736	220	9	t	t	NOUN
fumecheng-10736	221	1	h	h	NOUN
fumecheng-10736	221	2	l	l	NOUN
fumecheng-10736	221	3	sur	sur	PROPN
fumecheng-10736	221	4	eff	eff	PROPN
fumecheng-10736	221	5	eff	eff	PROPN
fumecheng-10736	221	6	res	re	VERB
fumecheng-10736	221	7	x	x	SYM
fumecheng-10736	221	8	v	v	PROPN
fumecheng-10736	221	9	x	x	SYM
fumecheng-10736	221	10	t	t	NOUN
fumecheng-10736	221	11	v	v	NOUN
fumecheng-10736	221	12	x	x	SYM
fumecheng-10736	221	13	t	t	PROPN
fumecheng-10736	221	14	v	v	NUM
fumecheng-10736	221	15	x	x	SYM
fumecheng-10736	221	16	t	t	NOUN
fumecheng-10736	221	17	u	u	NOUN
fumecheng-10736	221	18	v	v	X
fumecheng-10736	221	19	x	x	SYM
fumecheng-10736	221	20	t	t	NOUN
fumecheng-10736	221	21	ei	ei	X
fumecheng-10736	221	22	ei	ei	X
fumecheng-10736	221	23	k	k	X
fumecheng-10736	221	24	v	v	PROPN
fumecheng-10736	221	25	x	x	SYM
fumecheng-10736	221	26	t	t	PROPN
fumecheng-10736	221	27	s	s	PART
fumecheng-10736	221	28	p	p	NOUN
fumecheng-10736	221	29	dxdt	dxdt	NOUN
fumecheng-10736	221	30	x	x	PUNCT
fumecheng-10736	221	31	x	x	PUNCT
fumecheng-10736	221	32	x	x	SYM
fumecheng-10736	221	33	v	v	NUM
fumecheng-10736	221	34	x	x	SYM
fumecheng-10736	221	35	t	t	NOUN
fumecheng-10736	221	36	v	v	NOUN
fumecheng-10736	221	37	x	x	SYM
fumecheng-10736	221	38	t	t	PROPN
fumecheng-10736	221	39	v	v	NUM
fumecheng-10736	221	40	x	x	SYM
fumecheng-10736	221	41	t	t	PROPN
fumecheng-10736	221	42	v	v	NOUN
fumecheng-10736	221	43	x	x	SYM
fumecheng-10736	221	44	t	t	NOUN
fumecheng-10736	221	45	ei	ei	X
fumecheng-10736	221	46	ei	ei	X
fumecheng-10736	221	47	s	s	X
fumecheng-10736	221	48	p	p	X
fumecheng-10736	221	49	dt	dt	NOUN
fumecheng-10736	221	50	xx	xx	NUM
fumecheng-10736	221	51	x	x	PUNCT
fumecheng-10736	222	1			NUM
fumecheng-10736	222	2			NUM
fumecheng-10736	222	3			NOUN
fumecheng-10736	222	4			NUM
fumecheng-10736	222	5			NOUN
fumecheng-10736	222	6			NUM
fumecheng-10736	222	7			VERB
fumecheng-10736	222	8	=	=	SYM
fumecheng-10736	222	9			VERB
fumecheng-10736	222	10	=	=	SYM
fumecheng-10736	222	11			PROPN
fumecheng-10736	222	12			ADJ
fumecheng-10736	222	13			ADJ
fumecheng-10736	222	14			PROPN
fumecheng-10736	222	15	=	=	SYM
fumecheng-10736	222	16	−	−	PROPN
fumecheng-10736	223	1	+	+	CCONJ
fumecheng-10736	223	2	+	+	CCONJ
fumecheng-10736	223	3	−	−	NOUN
fumecheng-10736	223	4	−	−	PUNCT
fumecheng-10736	223	5			PROPN
fumecheng-10736	223	6			PROPN
fumecheng-10736	223	7			PROPN
fumecheng-10736	223	8			PROPN
fumecheng-10736	223	9			PROPN
fumecheng-10736	223	10			PROPN
fumecheng-10736	223	11			ADJ
fumecheng-10736	223	12			ADJ
fumecheng-10736	223	13			PROPN
fumecheng-10736	223	14	+	+	CCONJ
fumecheng-10736	223	15	−	−	PROPN
fumecheng-10736	223	16	+	+	CCONJ
fumecheng-10736	223	17	−	−	X
fumecheng-10736	223	18			PROPN
fumecheng-10736	223	19			PROPN
fumecheng-10736	223	20			ADP
fumecheng-10736	223	21			PROPN
fumecheng-10736	223	22			PROPN
fumecheng-10736	224	1	+	+	CCONJ
fumecheng-10736	224	2			NOUN
fumecheng-10736	224	3			NOUN
fumecheng-10736	225	1			SYM
fumecheng-10736	225	2	4	4	NUM
fumecheng-10736	225	3	2	2	NUM
fumecheng-10736	225	4	0	0	NUM
fumecheng-10736	225	5	0	0	NUM
fumecheng-10736	225	6	0	0	NUM
fumecheng-10736	225	7	4	4	NUM
fumecheng-10736	225	8	2	2	NUM
fumecheng-10736	225	9	0	0	NUM
fumecheng-10736	225	10	0	0	NUM
fumecheng-10736	225	11	2	2	NUM
fumecheng-10736	225	12	3	3	NUM
fumecheng-10736	225	13	0	0	NUM
fumecheng-10736	225	14	0	0	NUM
fumecheng-10736	225	15	2	2	NUM
fumecheng-10736	225	16	3	3	NUM
fumecheng-10736	225	17	0	0	NUM
fumecheng-10736	225	18	0	0	NUM
fumecheng-10736	225	19	(	(	PUNCT
fumecheng-10736	225	20	,	,	PUNCT
fumecheng-10736	225	21	)	)	PUNCT
fumecheng-10736	225	22	(	(	PUNCT
fumecheng-10736	225	23	,	,	PUNCT
fumecheng-10736	225	24	)	)	PUNCT
fumecheng-10736	225	25	(	(	PUNCT
fumecheng-10736	225	26	,	,	PUNCT
fumecheng-10736	225	27	)	)	PUNCT
fumecheng-10736	225	28	(	(	PUNCT
fumecheng-10736	225	29	)	)	PUNCT
fumecheng-10736	225	30	(	(	PUNCT
fumecheng-10736	225	31	)	)	PUNCT
fumecheng-10736	225	32	(	(	PUNCT
fumecheng-10736	225	33	,	,	PUNCT
fumecheng-10736	225	34	)	)	PUNCT
fumecheng-10736	225	35	(	(	PUNCT
fumecheng-10736	225	36	,	,	PUNCT
fumecheng-10736	225	37	)	)	PUNCT
fumecheng-10736	225	38	(	(	PUNCT
fumecheng-10736	225	39	)	)	PUNCT
fumecheng-10736	225	40	x	x	X
fumecheng-10736	226	1	l	l	NOUN
fumecheng-10736	226	2	t	t	NOUN
fumecheng-10736	226	3	h	h	NOUN
fumecheng-10736	226	4	l	l	NOUN
fumecheng-10736	226	5	eff	eff	PROPN
fumecheng-10736	226	6	eff	eff	PROPN
fumecheng-10736	226	7	x	x	PUNCT
fumecheng-10736	226	8	x	x	PUNCT
fumecheng-10736	226	9	l	l	NOUN
fumecheng-10736	226	10	t	t	NOUN
fumecheng-10736	226	11	h	h	NOUN
fumecheng-10736	226	12	eff	eff	PROPN
fumecheng-10736	226	13	x	x	PROPN
fumecheng-10736	226	14	v	v	PROPN
fumecheng-10736	226	15	x	x	SYM
fumecheng-10736	226	16	t	t	NOUN
fumecheng-10736	226	17	v	v	NOUN
fumecheng-10736	226	18	x	x	SYM
fumecheng-10736	226	19	t	t	PROPN
fumecheng-10736	226	20	v	v	NOUN
fumecheng-10736	226	21	x	x	SYM
fumecheng-10736	226	22	t	t	NOUN
fumecheng-10736	226	23	ei	ei	X
fumecheng-10736	226	24	ei	ei	X
fumecheng-10736	226	25	dt	dt	NOUN
fumecheng-10736	226	26	x	x	PUNCT
fumecheng-10736	226	27	x	x	PUNCT
fumecheng-10736	226	28	x	x	SYM
fumecheng-10736	226	29	v	v	NUM
fumecheng-10736	226	30	x	x	SYM
fumecheng-10736	226	31	t	t	NOUN
fumecheng-10736	226	32	v	v	NOUN
fumecheng-10736	226	33	x	x	SYM
fumecheng-10736	226	34	t	t	NOUN
fumecheng-10736	226	35	ei	ei	NOUN
fumecheng-10736	226	36	dt	dt	NOUN
fumecheng-10736	226	37	x	x	PUNCT
fumecheng-10736	227	1	x	x	PUNCT
fumecheng-10736	227	2			NUM
fumecheng-10736	227	3	=	=	SYM
fumecheng-10736	227	4	=	=	SYM
fumecheng-10736	227	5	=	=	PUNCT
fumecheng-10736	227	6	=	=	SYM
fumecheng-10736	227	7			PROPN
fumecheng-10736	227	8			ADJ
fumecheng-10736	227	9			NOUN
fumecheng-10736	227	10	−	−	PUNCT
fumecheng-10736	228	1	+	+	ADJ
fumecheng-10736	228	2			NOUN
fumecheng-10736	228	3			ADJ
fumecheng-10736	228	4			PROPN
fumecheng-10736	228	5			PROPN
fumecheng-10736	228	6			PROPN
fumecheng-10736	228	7			PROPN
fumecheng-10736	228	8			PROPN
fumecheng-10736	228	9			ADJ
fumecheng-10736	228	10			NOUN
fumecheng-10736	228	11	+	+	X
fumecheng-10736	228	12			NOUN
fumecheng-10736	228	13			ADJ
fumecheng-10736	228	14			PROPN
fumecheng-10736	228	15			ADP
fumecheng-10736	228	16			PROPN
fumecheng-10736	228	17			X
fumecheng-10736	228	18			X
fumecheng-10736	228	19	(	(	PUNCT
fumecheng-10736	228	20	30	30	NUM
fumecheng-10736	228	21	)	)	PUNCT
fumecheng-10736	228	22	where	where	SCONJ
fumecheng-10736	228	23	2	2	NUM
fumecheng-10736	228	24	(	(	PUNCT
fumecheng-10736	228	25	)	)	PUNCT
fumecheng-10736	228	26	2h	2h	NUM
fumecheng-10736	228	27	eff	eff	PROPN
fumecheng-10736	228	28	sei	sei	PROPN
fumecheng-10736	228	29	il=	il=	PROPN
fumecheng-10736	228	30	denotes	denote	VERB
fumecheng-10736	228	31	the	the	DET
fumecheng-10736	228	32	higher	high	ADJ
fumecheng-10736	228	33	-	-	PUNCT
fumecheng-10736	228	34	order	order	NOUN
fumecheng-10736	228	35	flexural	flexural	ADJ
fumecheng-10736	228	36	rigidity	rigidity	NOUN
fumecheng-10736	228	37	associated	associate	VERB
fumecheng-10736	228	38	with	with	ADP
fumecheng-10736	228	39	the	the	DET
fumecheng-10736	228	40	straingradient	straingradient	NOUN
fumecheng-10736	228	41	contribution	contribution	NOUN
fumecheng-10736	228	42	;	;	PUNCT
fumecheng-10736	228	43	and	and	CCONJ
fumecheng-10736	228	44	2	2	NUM
fumecheng-10736	228	45	22	22	NUM
fumecheng-10736	228	46	(	(	PUNCT
fumecheng-10736	228	47	)	)	PUNCT
fumecheng-10736	228	48	3	3	NUM
fumecheng-10736	228	49	l	l	NOUN
fumecheng-10736	228	50	sur	sur	PROPN
fumecheng-10736	228	51	eff	eff	PROPN
fumecheng-10736	228	52	xx	xx	PROPN
fumecheng-10736	228	53	s	s	PART
fumecheng-10736	228	54	m	m	VERB
fumecheng-10736	228	55	xxei	xxei	ADJ
fumecheng-10736	228	56	e	e	X
fumecheng-10736	228	57	i	i	NOUN
fumecheng-10736	228	58	al	al	PROPN
fumecheng-10736	228	59	al	al	PROPN
fumecheng-10736	228	60	e	e	PROPN
fumecheng-10736	228	61	i	i	NUM
fumecheng-10736	228	62			NOUN
fumecheng-10736	228	63	=	=	VERB
fumecheng-10736	228	64	+	+	PUNCT
fumecheng-10736	228	65	+	+	CCONJ
fumecheng-10736	228	66	+	+	NUM
fumecheng-10736	228	67	denotes	denote	VERB
fumecheng-10736	228	68	the	the	DET
fumecheng-10736	228	69	lower	low	ADJ
fumecheng-10736	228	70	-	-	PUNCT
fumecheng-10736	228	71	order	order	NOUN
fumecheng-10736	228	72	flexural	flexural	ADJ
fumecheng-10736	228	73	rigidity	rigidity	NOUN
fumecheng-10736	228	74	combining	combine	VERB
fumecheng-10736	228	75	the	the	DET
fumecheng-10736	228	76	beam	beam	NOUN
fumecheng-10736	228	77	-	-	PUNCT
fumecheng-10736	228	78	bulk	bulk	ADJ
fumecheng-10736	228	79	and	and	CCONJ
fumecheng-10736	228	80	surface	surface	NOUN
fumecheng-10736	228	81	-	-	PUNCT
fumecheng-10736	228	82	layer	layer	NOUN
fumecheng-10736	228	83	contributions	contribution	NOUN
fumecheng-10736	228	84	.	.	PUNCT
fumecheng-10736	229	1	based	base	VERB
fumecheng-10736	229	2	on	on	ADP
fumecheng-10736	229	3	the	the	DET
fumecheng-10736	229	4	kinetic	kinetic	ADJ
fumecheng-10736	229	5	energy	energy	NOUN
fumecheng-10736	229	6	expression	expression	NOUN
fumecheng-10736	229	7	given	give	VERB
fumecheng-10736	229	8	by	by	ADP
fumecheng-10736	229	9	papargyri	papargyri	NOUN
fumecheng-10736	229	10	-	-	PUNCT
fumecheng-10736	229	11	beskou	beskou	PROPN
fumecheng-10736	229	12	et	et	NOUN
fumecheng-10736	229	13	al	al	PROPN
fumecheng-10736	229	14	.	.	PUNCT
fumecheng-10736	230	1	[	[	X
fumecheng-10736	230	2	55	55	NUM
fumecheng-10736	230	3	]	]	PUNCT
fumecheng-10736	230	4	,	,	PUNCT
fumecheng-10736	230	5	the	the	DET
fumecheng-10736	230	6	first	first	ADJ
fumecheng-10736	230	7	variation	variation	NOUN
fumecheng-10736	230	8	of	of	ADP
fumecheng-10736	230	9	the	the	DET
fumecheng-10736	230	10	kinetic	kinetic	ADJ
fumecheng-10736	230	11	energy	energy	NOUN
fumecheng-10736	230	12	k	k	NOUN
fumecheng-10736	230	13	with	with	ADP
fumecheng-10736	230	14	the	the	DET
fumecheng-10736	230	15	inclusion	inclusion	NOUN
fumecheng-10736	230	16	of	of	ADP
fumecheng-10736	230	17	the	the	DET
fumecheng-10736	230	18	velocity	velocity	NOUN
fumecheng-10736	230	19	gradient	gradient	NOUN
fumecheng-10736	230	20	during	during	ADP
fumecheng-10736	230	21	the	the	DET
fumecheng-10736	230	22	time	time	NOUN
fumecheng-10736	230	23	interval	interval	NOUN
fumecheng-10736	230	24	[	[	X
fumecheng-10736	230	25	0	0	NUM
fumecheng-10736	230	26	,	,	PUNCT
fumecheng-10736	230	27	t	t	PROPN
fumecheng-10736	230	28	]	]	PUNCT
fumecheng-10736	230	29	is	be	AUX
fumecheng-10736	230	30	[	[	X
fumecheng-10736	230	31	30	30	NUM
fumecheng-10736	230	32	]	]	SYM
fumecheng-10736	230	33	:	:	PUNCT
fumecheng-10736	230	34	2	2	NUM
fumecheng-10736	230	35	4	4	NUM
fumecheng-10736	230	36	6	6	NUM
fumecheng-10736	230	37	4	4	NUM
fumecheng-10736	230	38	2	2	NUM
fumecheng-10736	230	39	20	20	NUM
fumecheng-10736	230	40	0	0	NUM
fumecheng-10736	230	41	0	0	NUM
fumecheng-10736	230	42	0	0	NUM
fumecheng-10736	230	43	0	0	NUM
fumecheng-10736	230	44	2	2	NUM
fumecheng-10736	230	45	2	2	NUM
fumecheng-10736	230	46	2	2	NUM
fumecheng-10736	230	47	4	4	NUM
fumecheng-10736	230	48	2	2	NUM
fumecheng-10736	230	49	2	2	NUM
fumecheng-10736	230	50	2	2	NUM
fumecheng-10736	230	51	0	0	NUM
fumecheng-10736	230	52	0	0	NUM
fumecheng-10736	230	53	3	3	NUM
fumecheng-10736	230	54	5	5	NUM
fumecheng-10736	230	55	2	2	NUM
fumecheng-10736	230	56	20	20	NUM
fumecheng-10736	230	57	0	0	NUM
fumecheng-10736	230	58	0	0	NUM
fumecheng-10736	230	59	2	2	NUM
fumecheng-10736	230	60	3	3	NUM
fumecheng-10736	230	61	2	2	NUM
fumecheng-10736	230	62	0	0	NUM
fumecheng-10736	230	63	0	0	NUM
fumecheng-10736	230	64	(	(	PUNCT
fumecheng-10736	230	65	,	,	PUNCT
fumecheng-10736	230	66	)	)	PUNCT
fumecheng-10736	230	67	(	(	PUNCT
fumecheng-10736	230	68	,	,	PUNCT
fumecheng-10736	230	69	)	)	PUNCT
fumecheng-10736	230	70	(	(	PUNCT
fumecheng-10736	230	71	,	,	PUNCT
fumecheng-10736	230	72	)	)	PUNCT
fumecheng-10736	230	73	(	(	PUNCT
fumecheng-10736	230	74	,	,	PUNCT
fumecheng-10736	230	75	)	)	PUNCT
fumecheng-10736	230	76	(	(	PUNCT
fumecheng-10736	230	77	,	,	PUNCT
fumecheng-10736	230	78	)	)	PUNCT
fumecheng-10736	230	79	2	2	NUM
fumecheng-10736	230	80	(	(	PUNCT
fumecheng-10736	230	81	,	,	PUNCT
fumecheng-10736	230	82	)	)	PUNCT
fumecheng-10736	230	83	(	(	PUNCT
fumecheng-10736	230	84	,	,	PUNCT
fumecheng-10736	230	85	)	)	PUNCT
fumecheng-10736	230	86	(	(	PUNCT
fumecheng-10736	230	87	,	,	PUNCT
fumecheng-10736	230	88	)	)	PUNCT
fumecheng-10736	230	89	(	(	PUNCT
fumecheng-10736	230	90	2	2	X
fumecheng-10736	230	91	)	)	PUNCT
fumecheng-10736	230	92	t	t	NOUN
fumecheng-10736	230	93	l	l	NOUN
fumecheng-10736	230	94	v	v	PROPN
fumecheng-10736	230	95	v	v	NOUN
fumecheng-10736	230	96	x	x	SYM
fumecheng-10736	230	97	l	l	NOUN
fumecheng-10736	230	98	t	t	NOUN
fumecheng-10736	230	99	v	v	NOUN
fumecheng-10736	230	100	v	v	NOUN
fumecheng-10736	230	101	x	x	SYM
fumecheng-10736	230	102	v	v	NOUN
fumecheng-10736	230	103	x	x	SYM
fumecheng-10736	230	104	t	t	NOUN
fumecheng-10736	230	105	v	v	NOUN
fumecheng-10736	230	106	x	x	SYM
fumecheng-10736	230	107	t	t	PROPN
fumecheng-10736	230	108	v	v	NUM
fumecheng-10736	230	109	x	x	SYM
fumecheng-10736	230	110	t	t	PROPN
fumecheng-10736	230	111	v	v	NUM
fumecheng-10736	230	112	x	x	SYM
fumecheng-10736	230	113	t	t	PROPN
fumecheng-10736	230	114	k	k	X
fumecheng-10736	230	115	v	v	PROPN
fumecheng-10736	230	116	x	x	SYM
fumecheng-10736	230	117	t	t	NOUN
fumecheng-10736	230	118	a	a	DET
fumecheng-10736	230	119	l	l	NOUN
fumecheng-10736	231	1	i	i	PRON
fumecheng-10736	231	2	l	l	NOUN
fumecheng-10736	231	3	dx	dx	PROPN
fumecheng-10736	232	1	dt	dt	X
fumecheng-10736	232	2	t	t	PROPN
fumecheng-10736	232	3	x	x	PROPN
fumecheng-10736	232	4	t	t	PROPN
fumecheng-10736	232	5	x	x	SYM
fumecheng-10736	232	6	t	t	NOUN
fumecheng-10736	232	7	x	x	X
fumecheng-10736	232	8	t	t	PROPN
fumecheng-10736	232	9	v	v	NUM
fumecheng-10736	232	10	x	x	SYM
fumecheng-10736	232	11	t	t	PROPN
fumecheng-10736	232	12	v	v	NUM
fumecheng-10736	232	13	x	x	SYM
fumecheng-10736	232	14	t	t	PROPN
fumecheng-10736	232	15	v	v	NOUN
fumecheng-10736	232	16	x	x	SYM
fumecheng-10736	232	17	t	t	NOUN
fumecheng-10736	232	18	al	al	PROPN
fumecheng-10736	233	1	i	i	PRON
fumecheng-10736	233	2	il	il	PROPN
fumecheng-10736	233	3	x	x	PROPN
fumecheng-10736	233	4	t	t	PROPN
fumecheng-10736	233	5	x	x	SYM
fumecheng-10736	233	6	t	t	PROPN
fumecheng-10736	233	7			NUM
fumecheng-10736	233	8			NUM
fumecheng-10736	233	9			ADP
fumecheng-10736	233	10			ADP
fumecheng-10736	233	11			NUM
fumecheng-10736	233	12			NOUN
fumecheng-10736	233	13			ADP
fumecheng-10736	233	14			NOUN
fumecheng-10736	233	15	=	=	PUNCT
fumecheng-10736	234	1	=	=	SYM
fumecheng-10736	234	2			PROPN
fumecheng-10736	234	3			PROPN
fumecheng-10736	234	4			PROPN
fumecheng-10736	234	5			PROPN
fumecheng-10736	234	6			NOUN
fumecheng-10736	234	7			NOUN
fumecheng-10736	234	8			ADJ
fumecheng-10736	234	9			ADJ
fumecheng-10736	234	10			ADJ
fumecheng-10736	234	11			VERB
fumecheng-10736	234	12	=	=	ADP
fumecheng-10736	234	13	−	−	NOUN
fumecheng-10736	234	14	−	−	PROPN
fumecheng-10736	235	1	+	+	CCONJ
fumecheng-10736	235	2	−	−	PROPN
fumecheng-10736	235	3			PUNCT
fumecheng-10736	235	4			PROPN
fumecheng-10736	236	1			PROPN
fumecheng-10736	236	2			PROPN
fumecheng-10736	236	3			ADJ
fumecheng-10736	236	4			ADJ
fumecheng-10736	236	5			ADJ
fumecheng-10736	236	6			ADJ
fumecheng-10736	236	7			ADJ
fumecheng-10736	236	8			PROPN
fumecheng-10736	236	9			ADP
fumecheng-10736	236	10			NOUN
fumecheng-10736	236	11			NOUN
fumecheng-10736	236	12			NOUN
fumecheng-10736	236	13			NOUN
fumecheng-10736	236	14			PROPN
fumecheng-10736	236	15			NOUN
fumecheng-10736	237	1			PRON
fumecheng-10736	237	2			PROPN
fumecheng-10736	237	3			PROPN
fumecheng-10736	237	4			NOUN
fumecheng-10736	237	5			PROPN
fumecheng-10736	237	6	+	+	CCONJ
fumecheng-10736	237	7	−	−	X
fumecheng-10736	238	1	+	+	CCONJ
fumecheng-10736	238	2	+	+	ADJ
fumecheng-10736	238	3			NOUN
fumecheng-10736	238	4			NOUN
fumecheng-10736	239	1			PROPN
fumecheng-10736	239	2			ADJ
fumecheng-10736	239	3			ADJ
fumecheng-10736	239	4			PROPN
fumecheng-10736	239	5			ADP
fumecheng-10736	239	6			NOUN
fumecheng-10736	239	7			PROPN
fumecheng-10736	239	8			PROPN
fumecheng-10736	239	9			X
fumecheng-10736	239	10			SYM
fumecheng-10736	240	1			SYM
fumecheng-10736	241	1	4	4	NUM
fumecheng-10736	241	2	20	20	NUM
fumecheng-10736	241	3	0	0	NUM
fumecheng-10736	241	4	2	2	NUM
fumecheng-10736	241	5	2	2	NUM
fumecheng-10736	241	6	0	0	NUM
fumecheng-10736	241	7	0	0	NUM
fumecheng-10736	241	8	(	(	PUNCT
fumecheng-10736	241	9	,	,	PUNCT
fumecheng-10736	241	10	)	)	PUNCT
fumecheng-10736	241	11	(	(	PUNCT
fumecheng-10736	241	12	,	,	PUNCT
fumecheng-10736	241	13	)	)	PUNCT
fumecheng-10736	241	14	x	x	PUNCT
fumecheng-10736	242	1	l	l	NOUN
fumecheng-10736	242	2	t	t	NOUN
fumecheng-10736	242	3	v	v	NOUN
fumecheng-10736	242	4	x	x	INTJ
fumecheng-10736	242	5	dt	dt	X
fumecheng-10736	242	6	v	v	INTJ
fumecheng-10736	242	7	x	x	SYM
fumecheng-10736	242	8	t	t	NOUN
fumecheng-10736	242	9	v	v	NOUN
fumecheng-10736	242	10	x	x	SYM
fumecheng-10736	242	11	t	t	X
fumecheng-10736	242	12	il	il	PROPN
fumecheng-10736	242	13	dt	dt	NOUN
fumecheng-10736	242	14	x	x	PUNCT
fumecheng-10736	242	15	x	x	SYM
fumecheng-10736	242	16	t	t	PROPN
fumecheng-10736	242	17			NUM
fumecheng-10736	242	18			NOUN
fumecheng-10736	242	19	=	=	PUNCT
fumecheng-10736	242	20	=	=	SYM
fumecheng-10736	242	21			PROPN
fumecheng-10736	242	22			PROPN
fumecheng-10736	242	23			NOUN
fumecheng-10736	242	24			PROPN
fumecheng-10736	242	25	+	+	SYM
fumecheng-10736	242	26	−	−	X
fumecheng-10736	242	27			NOUN
fumecheng-10736	242	28			PROPN
fumecheng-10736	242	29			ADJ
fumecheng-10736	242	30			PROPN
fumecheng-10736	242	31			ADP
fumecheng-10736	242	32			NOUN
fumecheng-10736	242	33			PROPN
fumecheng-10736	242	34			PROPN
fumecheng-10736	242	35			PUNCT
fumecheng-10736	242	36	(	(	PUNCT
fumecheng-10736	242	37	31	31	NUM
fumecheng-10736	242	38	)	)	PUNCT
fumecheng-10736	242	39	where	where	SCONJ
fumecheng-10736	242	40	ρ	ρ	PROPN
fumecheng-10736	242	41	represents	represent	VERB
fumecheng-10736	242	42	the	the	DET
fumecheng-10736	242	43	nanobeam	nanobeam	ADJ
fumecheng-10736	242	44	mass	mass	NOUN
fumecheng-10736	242	45	density	density	NOUN
fumecheng-10736	242	46	;	;	PUNCT
fumecheng-10736	242	47	and	and	CCONJ
fumecheng-10736	242	48	lv	lv	PROPN
fumecheng-10736	242	49	defines	define	VERB
fumecheng-10736	242	50	the	the	DET
fumecheng-10736	242	51	material	material	NOUN
fumecheng-10736	242	52	length	length	NOUN
fumecheng-10736	242	53	-	-	PUNCT
fumecheng-10736	242	54	scale	scale	NOUN
fumecheng-10736	242	55	parameter	parameter	NOUN
fumecheng-10736	242	56	associated	associate	VERB
fumecheng-10736	242	57	with	with	ADP
fumecheng-10736	242	58	the	the	DET
fumecheng-10736	242	59	velocity	velocity	NOUN
fumecheng-10736	242	60	gradient	gradient	NOUN
fumecheng-10736	242	61	.	.	PUNCT
fumecheng-10736	243	1	it	it	PRON
fumecheng-10736	243	2	should	should	AUX
fumecheng-10736	243	3	be	be	AUX
fumecheng-10736	243	4	noted	note	VERB
fumecheng-10736	243	5	from	from	ADP
fumecheng-10736	243	6	the	the	DET
fumecheng-10736	243	7	first	first	ADJ
fumecheng-10736	243	8	variation	variation	NOUN
fumecheng-10736	243	9	of	of	ADP
fumecheng-10736	243	10	the	the	DET
fumecheng-10736	243	11	kinematic	kinematic	ADJ
fumecheng-10736	243	12	energy	energy	NOUN
fumecheng-10736	243	13	in	in	ADP
fumecheng-10736	243	14	eq	eq	ADP
fumecheng-10736	243	15	.	.	PUNCT
fumecheng-10736	244	1	(	(	PUNCT
fumecheng-10736	244	2	31	31	NUM
fumecheng-10736	244	3	)	)	PUNCT
fumecheng-10736	244	4	that	that	SCONJ
fumecheng-10736	244	5	the	the	DET
fumecheng-10736	244	6	beam	beam	NOUN
fumecheng-10736	244	7	configurations	configuration	NOUN
fumecheng-10736	244	8	are	be	AUX
fumecheng-10736	244	9	prescribed	prescribe	VERB
fumecheng-10736	244	10	at	at	ADP
fumecheng-10736	244	11	t	t	PROPN
fumecheng-10736	244	12	=	=	SYM
fumecheng-10736	244	13	0	0	PROPN
fumecheng-10736	244	14	and	and	CCONJ
fumecheng-10736	244	15	t	t	PROPN
fumecheng-10736	244	16	=	=	SYM
fumecheng-10736	244	17	t	t	PROPN
fumecheng-10736	244	18	,	,	PUNCT
fumecheng-10736	244	19	resulting	result	VERB
fumecheng-10736	244	20	in	in	ADP
fumecheng-10736	244	21	the	the	DET
fumecheng-10736	244	22	vanish	vanish	NOUN
fumecheng-10736	244	23	of	of	ADP
fumecheng-10736	244	24	the	the	DET
fumecheng-10736	244	25	virtual	virtual	ADJ
fumecheng-10736	244	26	displacements	displacement	NOUN
fumecheng-10736	244	27	and	and	CCONJ
fumecheng-10736	244	28	its	its	PRON
fumecheng-10736	244	29	derivatives	derivative	NOUN
fumecheng-10736	244	30	at	at	ADP
fumecheng-10736	244	31	t	t	PROPN
fumecheng-10736	244	32	=	=	SYM
fumecheng-10736	244	33	0	0	NUM
fumecheng-10736	244	34	bending	bending	NOUN
fumecheng-10736	244	35	,	,	PUNCT
fumecheng-10736	244	36	buckling	buckling	NOUN
fumecheng-10736	244	37	,	,	PUNCT
fumecheng-10736	244	38	and	and	CCONJ
fumecheng-10736	244	39	free	free	ADJ
fumecheng-10736	244	40	vibration	vibration	NOUN
fumecheng-10736	244	41	analyses	analysis	NOUN
fumecheng-10736	244	42	of	of	ADP
fumecheng-10736	244	43	nanobeam	nanobeam	ADJ
fumecheng-10736	244	44	-	-	PUNCT
fumecheng-10736	244	45	substrate	substrate	NOUN
fumecheng-10736	244	46	medium	medium	NOUN
fumecheng-10736	244	47	systems	system	NOUN
fumecheng-10736	244	48	571	571	NUM
fumecheng-10736	244	49	and	and	CCONJ
fumecheng-10736	244	50	t	t	NOUN
fumecheng-10736	245	1	=	=	PUNCT
fumecheng-10736	245	2	t.	t.	NOUN
fumecheng-10736	245	3	moreover	moreover	ADV
fumecheng-10736	245	4	,	,	PUNCT
fumecheng-10736	245	5	the	the	DET
fumecheng-10736	245	6	mass	mass	NOUN
fumecheng-10736	245	7	density	density	NOUN
fumecheng-10736	245	8	ρ	ρ	PROPN
fumecheng-10736	245	9	over	over	ADP
fumecheng-10736	245	10	the	the	DET
fumecheng-10736	245	11	time	time	NOUN
fumecheng-10736	245	12	interval	interval	NOUN
fumecheng-10736	245	13	[	[	X
fumecheng-10736	245	14	0	0	NUM
fumecheng-10736	245	15	,	,	PUNCT
fumecheng-10736	245	16	t	t	PROPN
fumecheng-10736	245	17	]	]	PUNCT
fumecheng-10736	245	18	is	be	AUX
fumecheng-10736	245	19	constant	constant	ADJ
fumecheng-10736	245	20	along	along	ADP
fumecheng-10736	245	21	the	the	DET
fumecheng-10736	245	22	cross	cross	NOUN
fumecheng-10736	245	23	section	section	NOUN
fumecheng-10736	245	24	of	of	ADP
fumecheng-10736	245	25	the	the	DET
fumecheng-10736	245	26	nanobeam	nanobeam	NOUN
fumecheng-10736	245	27	[	[	X
fumecheng-10736	245	28	30	30	NUM
fumecheng-10736	245	29	]	]	PUNCT
fumecheng-10736	245	30	.	.	PUNCT
fumecheng-10736	246	1	the	the	DET
fumecheng-10736	246	2	first	first	ADJ
fumecheng-10736	246	3	variation	variation	NOUN
fumecheng-10736	246	4	of	of	ADP
fumecheng-10736	246	5	the	the	DET
fumecheng-10736	246	6	external	external	ADJ
fumecheng-10736	246	7	work	work	NOUN
fumecheng-10736	246	8	done	do	VERB
fumecheng-10736	246	9	w	w	NOUN
fumecheng-10736	246	10	by	by	ADP
fumecheng-10736	246	11	the	the	DET
fumecheng-10736	246	12	transverse	transverse	NOUN
fumecheng-10736	246	13	distributed	distribute	VERB
fumecheng-10736	246	14	load	load	NOUN
fumecheng-10736	246	15	qy(x	qy(x	PROPN
fumecheng-10736	246	16	,	,	PUNCT
fumecheng-10736	246	17	t	t	PROPN
fumecheng-10736	246	18	)	)	PUNCT
fumecheng-10736	246	19	and	and	CCONJ
fumecheng-10736	246	20	end	end	VERB
fumecheng-10736	246	21	forces	force	NOUN
fumecheng-10736	246	22	p	p	PRON
fumecheng-10736	246	23	shown	show	VERB
fumecheng-10736	246	24	in	in	ADP
fumecheng-10736	246	25	fig	fig	NOUN
fumecheng-10736	246	26	.	.	PUNCT
fumecheng-10736	247	1	2(b	2(b	NUM
fumecheng-10736	247	2	)	)	PUNCT
fumecheng-10736	247	3	during	during	ADP
fumecheng-10736	247	4	the	the	DET
fumecheng-10736	247	5	time	time	NOUN
fumecheng-10736	247	6	interval	interval	NOUN
fumecheng-10736	247	7	[	[	X
fumecheng-10736	247	8	0	0	NUM
fumecheng-10736	247	9	,	,	PUNCT
fumecheng-10736	247	10	t	t	PROPN
fumecheng-10736	247	11	]	]	PUNCT
fumecheng-10736	247	12	can	can	AUX
fumecheng-10736	247	13	be	be	AUX
fumecheng-10736	247	14	defined	define	VERB
fumecheng-10736	247	15	as	as	ADP
fumecheng-10736	247	16	:	:	PUNCT
fumecheng-10736	247	17	0	0	NUM
fumecheng-10736	247	18	0	0	NUM
fumecheng-10736	247	19	0	0	NUM
fumecheng-10736	247	20	(	(	PUNCT
fumecheng-10736	247	21	,	,	PUNCT
fumecheng-10736	247	22	)	)	PUNCT
fumecheng-10736	247	23	(	(	PUNCT
fumecheng-10736	247	24	,	,	PUNCT
fumecheng-10736	247	25	)	)	PUNCT
fumecheng-10736	247	26	t	t	NOUN
fumecheng-10736	247	27	l	l	PROPN
fumecheng-10736	247	28	t	t	PROPN
fumecheng-10736	248	1	yw	yw	PROPN
fumecheng-10736	248	2	q	q	PROPN
fumecheng-10736	249	1	x	x	X
fumecheng-10736	249	2	t	t	NOUN
fumecheng-10736	249	3	v	v	NUM
fumecheng-10736	249	4	x	x	SYM
fumecheng-10736	249	5	t	t	PROPN
fumecheng-10736	249	6	dx	dx	PROPN
fumecheng-10736	249	7	dt	dt	VERB
fumecheng-10736	249	8			PROPN
fumecheng-10736	249	9			NUM
fumecheng-10736	249	10			PROPN
fumecheng-10736	249	11			NOUN
fumecheng-10736	249	12	=	=	PUNCT
fumecheng-10736	250	1	+	+	ADJ
fumecheng-10736	250	2			NOUN
fumecheng-10736	250	3			NOUN
fumecheng-10736	250	4			NOUN
fumecheng-10736	250	5			PROPN
fumecheng-10736	250	6			X
fumecheng-10736	250	7			PUNCT
fumecheng-10736	250	8	u	u	X
fumecheng-10736	250	9	p	p	X
fumecheng-10736	250	10	(	(	PUNCT
fumecheng-10736	250	11	32	32	NUM
fumecheng-10736	250	12	)	)	PUNCT
fumecheng-10736	250	13	where	where	SCONJ
fumecheng-10736	250	14	the	the	DET
fumecheng-10736	250	15	displacement	displacement	ADJ
fumecheng-10736	250	16	vector	vector	NOUN
fumecheng-10736	250	17	u	u	NOUN
fumecheng-10736	250	18	=	=	PUNCT
fumecheng-10736	250	19	[	[	X
fumecheng-10736	250	20	u1	u1	NOUN
fumecheng-10736	250	21	u2	u2	PROPN
fumecheng-10736	250	22	u3	u3	PROPN
fumecheng-10736	250	23	u4	u4	PROPN
fumecheng-10736	250	24	u5	u5	PROPN
fumecheng-10736	250	25	u6]t	u6]t	PROPN
fumecheng-10736	250	26	collects	collect	VERB
fumecheng-10736	250	27	end	end	NOUN
fumecheng-10736	250	28	displacements	displacement	NOUN
fumecheng-10736	250	29	of	of	ADP
fumecheng-10736	250	30	the	the	DET
fumecheng-10736	250	31	system	system	NOUN
fumecheng-10736	250	32	and	and	CCONJ
fumecheng-10736	250	33	the	the	DET
fumecheng-10736	250	34	force	force	NOUN
fumecheng-10736	250	35	vector	vector	NOUN
fumecheng-10736	250	36	p	p	NOUN
fumecheng-10736	251	1	=	=	PUNCT
fumecheng-10736	252	1	[	[	X
fumecheng-10736	252	2	p1	p1	PROPN
fumecheng-10736	252	3	p2	p2	PROPN
fumecheng-10736	252	4	p3	p3	PROPN
fumecheng-10736	252	5	p4	p4	ADJ
fumecheng-10736	252	6	p5	p5	PROPN
fumecheng-10736	252	7	p6]t	p6]t	NOUN
fumecheng-10736	252	8	contains	contain	VERB
fumecheng-10736	252	9	end	end	NOUN
fumecheng-10736	252	10	forces	force	NOUN
fumecheng-10736	252	11	of	of	ADP
fumecheng-10736	252	12	the	the	DET
fumecheng-10736	252	13	system	system	NOUN
fumecheng-10736	252	14	.	.	PUNCT
fumecheng-10736	253	1	to	to	PART
fumecheng-10736	253	2	establish	establish	VERB
fumecheng-10736	253	3	the	the	DET
fumecheng-10736	253	4	governing	govern	VERB
fumecheng-10736	253	5	differential	differential	ADJ
fumecheng-10736	253	6	equation	equation	NOUN
fumecheng-10736	253	7	of	of	ADP
fumecheng-10736	253	8	motion	motion	NOUN
fumecheng-10736	253	9	and	and	CCONJ
fumecheng-10736	253	10	its	its	PRON
fumecheng-10736	253	11	associated	associated	ADJ
fumecheng-10736	253	12	boundary	boundary	ADJ
fumecheng-10736	253	13	conditions	condition	NOUN
fumecheng-10736	253	14	,	,	PUNCT
fumecheng-10736	253	15	hamilton	hamilton	PROPN
fumecheng-10736	253	16	’s	’s	PART
fumecheng-10736	253	17	principal	principal	NOUN
fumecheng-10736	253	18	is	be	AUX
fumecheng-10736	253	19	called	call	VERB
fumecheng-10736	253	20	for	for	ADP
fumecheng-10736	253	21	.	.	PUNCT
fumecheng-10736	254	1	as	as	ADP
fumecheng-10736	254	2	a	a	DET
fumecheng-10736	254	3	result	result	NOUN
fumecheng-10736	254	4	,	,	PUNCT
fumecheng-10736	254	5	eqs	eqs	X
fumecheng-10736	254	6	.	.	PUNCT
fumecheng-10736	254	7	(	(	PUNCT
fumecheng-10736	254	8	30	30	NUM
fumecheng-10736	254	9	)	)	PUNCT
fumecheng-10736	254	10	,	,	PUNCT
fumecheng-10736	254	11	(	(	PUNCT
fumecheng-10736	254	12	31	31	NUM
fumecheng-10736	254	13	)	)	PUNCT
fumecheng-10736	254	14	,	,	PUNCT
fumecheng-10736	254	15	and	and	CCONJ
fumecheng-10736	254	16	(	(	PUNCT
fumecheng-10736	254	17	32	32	NUM
fumecheng-10736	254	18	)	)	PUNCT
fumecheng-10736	254	19	can	can	AUX
fumecheng-10736	254	20	be	be	AUX
fumecheng-10736	254	21	written	write	VERB
fumecheng-10736	254	22	together	together	ADV
fumecheng-10736	254	23	as	as	ADP
fumecheng-10736	254	24	:	:	SYM
fumecheng-10736	254	25	0	0	NUM
fumecheng-10736	254	26	6	6	NUM
fumecheng-10736	254	27	4	4	NUM
fumecheng-10736	254	28	2	2	NUM
fumecheng-10736	254	29	0	0	NUM
fumecheng-10736	254	30	0	0	NUM
fumecheng-10736	254	31	0	0	NUM
fumecheng-10736	254	32	0	0	NUM
fumecheng-10736	254	33	6	6	NUM
fumecheng-10736	254	34	4	4	NUM
fumecheng-10736	254	35	2	2	NUM
fumecheng-10736	254	36	0	0	NUM
fumecheng-10736	254	37	0	0	NUM
fumecheng-10736	254	38	2	2	NUM
fumecheng-10736	254	39	4	4	NUM
fumecheng-10736	254	40	6	6	NUM
fumecheng-10736	254	41	4	4	NUM
fumecheng-10736	254	42	2	2	NUM
fumecheng-10736	254	43	20	20	NUM
fumecheng-10736	254	44	0	0	NUM
fumecheng-10736	254	45	0	0	NUM
fumecheng-10736	254	46	0	0	NUM
fumecheng-10736	254	47	0	0	NUM
fumecheng-10736	254	48	2	2	NUM
fumecheng-10736	254	49	2	2	NUM
fumecheng-10736	254	50	2	2	NUM
fumecheng-10736	254	51	4	4	NUM
fumecheng-10736	254	52	2	2	NUM
fumecheng-10736	254	53	[	[	PUNCT
fumecheng-10736	254	54	(	(	PUNCT
fumecheng-10736	254	55	)	)	PUNCT
fumecheng-10736	254	56	]	]	X
fumecheng-10736	254	57	0	0	PUNCT
fumecheng-10736	255	1	(	(	PUNCT
fumecheng-10736	255	2	,	,	PUNCT
fumecheng-10736	255	3	)	)	PUNCT
fumecheng-10736	255	4	(	(	PUNCT
fumecheng-10736	255	5	,	,	PUNCT
fumecheng-10736	255	6	)	)	PUNCT
fumecheng-10736	255	7	(	(	PUNCT
fumecheng-10736	255	8	,	,	PUNCT
fumecheng-10736	255	9	)	)	PUNCT
fumecheng-10736	255	10	(	(	PUNCT
fumecheng-10736	255	11	,	,	PUNCT
fumecheng-10736	255	12	)	)	PUNCT
fumecheng-10736	255	13	(	(	PUNCT
fumecheng-10736	255	14	)	)	PUNCT
fumecheng-10736	255	15	(	(	PUNCT
fumecheng-10736	255	16	)	)	PUNCT
fumecheng-10736	255	17	(	(	PUNCT
fumecheng-10736	255	18	)	)	PUNCT
fumecheng-10736	255	19	(	(	PUNCT
fumecheng-10736	255	20	,	,	PUNCT
fumecheng-10736	255	21	)	)	PUNCT
fumecheng-10736	255	22	(	(	PUNCT
fumecheng-10736	255	23	,	,	PUNCT
fumecheng-10736	255	24	)	)	PUNCT
fumecheng-10736	255	25	(	(	PUNCT
fumecheng-10736	255	26	,	,	PUNCT
fumecheng-10736	255	27	)	)	PUNCT
fumecheng-10736	255	28	(	(	PUNCT
fumecheng-10736	255	29	,	,	PUNCT
fumecheng-10736	255	30	)	)	PUNCT
fumecheng-10736	255	31	(	(	PUNCT
fumecheng-10736	255	32	,	,	PUNCT
fumecheng-10736	255	33	)	)	PUNCT
fumecheng-10736	255	34	(	(	PUNCT
fumecheng-10736	255	35	,	,	PUNCT
fumecheng-10736	255	36	)	)	PUNCT
fumecheng-10736	255	37	2	2	NUM
fumecheng-10736	255	38	t	t	NOUN
fumecheng-10736	255	39	t	t	NOUN
fumecheng-10736	255	40	l	l	NOUN
fumecheng-10736	255	41	h	h	NOUN
fumecheng-10736	256	1	l	l	NOUN
fumecheng-10736	256	2	sur	sur	PROPN
fumecheng-10736	256	3	eff	eff	PROPN
fumecheng-10736	256	4	eff	eff	PROPN
fumecheng-10736	256	5	res	re	VERB
fumecheng-10736	256	6	y	y	PROPN
fumecheng-10736	256	7	es	es	X
fumecheng-10736	256	8	v	v	ADP
fumecheng-10736	256	9	v	v	X
fumecheng-10736	256	10	k	k	PROPN
fumecheng-10736	256	11	u	u	PROPN
fumecheng-10736	256	12	w	w	PROPN
fumecheng-10736	256	13	dt	dt	X
fumecheng-10736	256	14	v	v	NOUN
fumecheng-10736	256	15	x	x	SYM
fumecheng-10736	256	16	t	t	NOUN
fumecheng-10736	256	17	v	v	NUM
fumecheng-10736	256	18	x	x	SYM
fumecheng-10736	256	19	t	t	PROPN
fumecheng-10736	256	20	v	v	NUM
fumecheng-10736	256	21	x	x	SYM
fumecheng-10736	256	22	t	t	PROPN
fumecheng-10736	256	23	v	v	NOUN
fumecheng-10736	256	24	x	x	SYM
fumecheng-10736	256	25	t	t	NOUN
fumecheng-10736	256	26	ei	ei	X
fumecheng-10736	256	27	ei	ei	X
fumecheng-10736	256	28	s	s	X
fumecheng-10736	256	29	p	p	X
fumecheng-10736	256	30	x	x	PUNCT
fumecheng-10736	256	31	x	x	SYM
fumecheng-10736	256	32	x	x	SYM
fumecheng-10736	256	33	v	v	NUM
fumecheng-10736	256	34	x	x	SYM
fumecheng-10736	256	35	t	t	NOUN
fumecheng-10736	256	36	v	v	NOUN
fumecheng-10736	256	37	x	x	SYM
fumecheng-10736	256	38	t	t	PROPN
fumecheng-10736	256	39	v	v	NUM
fumecheng-10736	256	40	x	x	SYM
fumecheng-10736	256	41	t	t	PROPN
fumecheng-10736	256	42	v	v	NUM
fumecheng-10736	256	43	x	x	SYM
fumecheng-10736	256	44	t	t	NOUN
fumecheng-10736	256	45	q	q	NOUN
fumecheng-10736	257	1	x	x	X
fumecheng-10736	257	2	t	t	X
fumecheng-10736	257	3	k	k	X
fumecheng-10736	257	4	v	v	PROPN
fumecheng-10736	257	5	x	x	SYM
fumecheng-10736	257	6	t	t	NOUN
fumecheng-10736	257	7	a	a	PRON
fumecheng-10736	257	8	l	l	NOUN
fumecheng-10736	258	1	i	i	NOUN
fumecheng-10736	258	2	l	l	NOUN
fumecheng-10736	258	3	t	t	NOUN
fumecheng-10736	258	4	x	x	SYM
fumecheng-10736	258	5	t	t	PROPN
fumecheng-10736	258	6	x	x	SYM
fumecheng-10736	258	7	t	t	PROPN
fumecheng-10736	258	8			NUM
fumecheng-10736	258	9			NUM
fumecheng-10736	258	10			NOUN
fumecheng-10736	258	11			NOUN
fumecheng-10736	258	12			ADP
fumecheng-10736	258	13			VERB
fumecheng-10736	258	14			ADP
fumecheng-10736	258	15			PROPN
fumecheng-10736	258	16	−	−	NOUN
fumecheng-10736	258	17	−	−	NOUN
fumecheng-10736	259	1	=	=	NOUN
fumecheng-10736	259	2			NUM
fumecheng-10736	260	1			INTJ
fumecheng-10736	261	1			PROPN
fumecheng-10736	261	2			PROPN
fumecheng-10736	261	3			PRON
fumecheng-10736	261	4			ADJ
fumecheng-10736	261	5			ADJ
fumecheng-10736	261	6			PROPN
fumecheng-10736	261	7	=	=	SYM
fumecheng-10736	262	1	−	−	PROPN
fumecheng-10736	263	1	+	+	CCONJ
fumecheng-10736	263	2	−	−	X
fumecheng-10736	263	3			PROPN
fumecheng-10736	263	4			PROPN
fumecheng-10736	263	5			PROPN
fumecheng-10736	263	6			PROPN
fumecheng-10736	263	7			PROPN
fumecheng-10736	263	8			ADJ
fumecheng-10736	263	9			ADJ
fumecheng-10736	263	10			PROPN
fumecheng-10736	263	11	+	+	CCONJ
fumecheng-10736	264	1	−	−	PROPN
fumecheng-10736	264	2	−	−	NUM
fumecheng-10736	265	1	−	−	PROPN
fumecheng-10736	265	2	−	−	PROPN
fumecheng-10736	266	1	−	−	PROPN
fumecheng-10736	266	2			NUM
fumecheng-10736	266	3			ADJ
fumecheng-10736	266	4			ADJ
fumecheng-10736	266	5			ADJ
fumecheng-10736	266	6			PROPN
fumecheng-10736	266	7			PROPN
fumecheng-10736	266	8			ADJ
fumecheng-10736	266	9			NOUN
fumecheng-10736	266	10			PUNCT
fumecheng-10736	266	11			NOUN
fumecheng-10736	266	12			SYM
fumecheng-10736	266	13	2	2	NUM
fumecheng-10736	266	14	2	2	NUM
fumecheng-10736	266	15	5	5	NUM
fumecheng-10736	266	16	3	3	NUM
fumecheng-10736	266	17	0	0	NUM
fumecheng-10736	266	18	0	0	NUM
fumecheng-10736	266	19	0	0	NUM
fumecheng-10736	266	20	0	0	NUM
fumecheng-10736	266	21	5	5	NUM
fumecheng-10736	266	22	3	3	NUM
fumecheng-10736	266	23	0	0	NUM
fumecheng-10736	266	24	3	3	NUM
fumecheng-10736	266	25	5	5	NUM
fumecheng-10736	266	26	2	2	NUM
fumecheng-10736	266	27	20	20	NUM
fumecheng-10736	266	28	0	0	NUM
fumecheng-10736	266	29	2	2	NUM
fumecheng-10736	266	30	3	3	NUM
fumecheng-10736	266	31	2	2	NUM
fumecheng-10736	266	32	0	0	NUM
fumecheng-10736	266	33	4	4	NUM
fumecheng-10736	266	34	0	0	NUM
fumecheng-10736	266	35	0	0	NUM
fumecheng-10736	266	36	4	4	NUM
fumecheng-10736	266	37	(	(	PUNCT
fumecheng-10736	266	38	,	,	PUNCT
fumecheng-10736	266	39	)	)	PUNCT
fumecheng-10736	266	40	(	(	PUNCT
fumecheng-10736	266	41	,	,	PUNCT
fumecheng-10736	266	42	)	)	PUNCT
fumecheng-10736	266	43	(	(	PUNCT
fumecheng-10736	266	44	,	,	PUNCT
fumecheng-10736	266	45	)	)	PUNCT
fumecheng-10736	266	46	(	(	PUNCT
fumecheng-10736	266	47	,	,	PUNCT
fumecheng-10736	266	48	)	)	PUNCT
fumecheng-10736	266	49	(	(	PUNCT
fumecheng-10736	266	50	)	)	PUNCT
fumecheng-10736	266	51	(	(	PUNCT
fumecheng-10736	266	52	)	)	PUNCT
fumecheng-10736	266	53	(	(	PUNCT
fumecheng-10736	266	54	)	)	PUNCT
fumecheng-10736	266	55	(	(	PUNCT
fumecheng-10736	266	56	,	,	PUNCT
fumecheng-10736	266	57	)	)	PUNCT
fumecheng-10736	266	58	(	(	PUNCT
fumecheng-10736	266	59	,	,	PUNCT
fumecheng-10736	266	60	)	)	PUNCT
fumecheng-10736	266	61	(	(	PUNCT
fumecheng-10736	266	62	2	2	X
fumecheng-10736	266	63	)	)	PUNCT
fumecheng-10736	266	64	(	(	PUNCT
fumecheng-10736	266	65	,	,	PUNCT
fumecheng-10736	266	66	)	)	PUNCT
fumecheng-10736	266	67	(	(	PUNCT
fumecheng-10736	266	68	,	,	PUNCT
fumecheng-10736	266	69	)	)	PUNCT
fumecheng-10736	266	70	(	(	PUNCT
fumecheng-10736	266	71	)	)	PUNCT
fumecheng-10736	266	72	(	(	PUNCT
fumecheng-10736	266	73	)	)	PUNCT
fumecheng-10736	266	74	t	t	NOUN
fumecheng-10736	266	75	h	h	NOUN
fumecheng-10736	266	76	l	l	NOUN
fumecheng-10736	266	77	sur	sur	PROPN
fumecheng-10736	266	78	eff	eff	PROPN
fumecheng-10736	266	79	eff	eff	PROPN
fumecheng-10736	266	80	res	re	NOUN
fumecheng-10736	266	81	x	x	PROPN
fumecheng-10736	266	82	l	l	NOUN
fumecheng-10736	266	83	v	v	NUM
fumecheng-10736	266	84	v	v	NOUN
fumecheng-10736	266	85	x	x	SYM
fumecheng-10736	266	86	h	h	NOUN
fumecheng-10736	266	87	l	l	NOUN
fumecheng-10736	266	88	eff	eff	PROPN
fumecheng-10736	266	89	eff	eff	PROPN
fumecheng-10736	266	90	dxdt	dxdt	PROPN
fumecheng-10736	266	91	x	x	PROPN
fumecheng-10736	266	92	t	t	PROPN
fumecheng-10736	266	93	v	v	NUM
fumecheng-10736	266	94	x	x	SYM
fumecheng-10736	266	95	t	t	PROPN
fumecheng-10736	266	96	v	v	NUM
fumecheng-10736	266	97	x	x	SYM
fumecheng-10736	266	98	t	t	PROPN
fumecheng-10736	266	99	v	v	NUM
fumecheng-10736	266	100	x	x	SYM
fumecheng-10736	266	101	t	t	PROPN
fumecheng-10736	266	102	v	v	NOUN
fumecheng-10736	266	103	x	x	SYM
fumecheng-10736	266	104	t	t	NOUN
fumecheng-10736	266	105	ei	ei	X
fumecheng-10736	266	106	ei	ei	X
fumecheng-10736	266	107	s	s	X
fumecheng-10736	266	108	p	p	X
fumecheng-10736	266	109	xx	xx	NUM
fumecheng-10736	266	110	x	x	SYM
fumecheng-10736	266	111	v	v	PROPN
fumecheng-10736	266	112	x	x	SYM
fumecheng-10736	266	113	t	t	NOUN
fumecheng-10736	266	114	v	v	NOUN
fumecheng-10736	266	115	x	x	SYM
fumecheng-10736	266	116	t	t	NOUN
fumecheng-10736	267	1	al	al	PROPN
fumecheng-10736	268	1	i	i	PRON
fumecheng-10736	268	2	il	il	PROPN
fumecheng-10736	268	3	dt	dt	X
fumecheng-10736	269	1	x	x	X
fumecheng-10736	269	2	t	t	PROPN
fumecheng-10736	269	3	x	x	X
fumecheng-10736	269	4	t	t	PROPN
fumecheng-10736	269	5	v	v	NUM
fumecheng-10736	269	6	x	x	SYM
fumecheng-10736	269	7	t	t	PROPN
fumecheng-10736	269	8	v	v	NOUN
fumecheng-10736	269	9	x	x	SYM
fumecheng-10736	269	10	t	t	NOUN
fumecheng-10736	269	11	ei	ei	X
fumecheng-10736	269	12	ei	ei	NOUN
fumecheng-10736	269	13	x	x	PUNCT
fumecheng-10736	269	14	x	x	X
fumecheng-10736	269	15			NUM
fumecheng-10736	269	16			NOUN
fumecheng-10736	269	17			ADJ
fumecheng-10736	269	18			ADP
fumecheng-10736	269	19			ADP
fumecheng-10736	269	20			NUM
fumecheng-10736	269	21			VERB
fumecheng-10736	269	22	=	=	SYM
fumecheng-10736	269	23	=	=	SYM
fumecheng-10736	269	24			PROPN
fumecheng-10736	269	25			NOUN
fumecheng-10736	269	26			VERB
fumecheng-10736	269	27			PROPN
fumecheng-10736	269	28			PROPN
fumecheng-10736	269	29			NOUN
fumecheng-10736	270	1			NOUN
fumecheng-10736	271	1			PRON
fumecheng-10736	271	2			ADJ
fumecheng-10736	271	3			ADJ
fumecheng-10736	271	4			PROPN
fumecheng-10736	271	5	+	+	CCONJ
fumecheng-10736	271	6	−	−	PROPN
fumecheng-10736	271	7	+	+	CCONJ
fumecheng-10736	271	8	−	−	PROPN
fumecheng-10736	271	9	−	−	ADV
fumecheng-10736	271	10			PROPN
fumecheng-10736	271	11			ADP
fumecheng-10736	271	12			PROPN
fumecheng-10736	271	13			NOUN
fumecheng-10736	271	14	−	−	PROPN
fumecheng-10736	272	1	+	+	CCONJ
fumecheng-10736	272	2	+	+	CCONJ
fumecheng-10736	272	3			ADJ
fumecheng-10736	272	4			ADJ
fumecheng-10736	272	5			ADJ
fumecheng-10736	272	6			ADJ
fumecheng-10736	272	7			PROPN
fumecheng-10736	272	8			PROPN
fumecheng-10736	272	9			ADJ
fumecheng-10736	272	10			ADJ
fumecheng-10736	272	11			PROPN
fumecheng-10736	272	12	+	+	CCONJ
fumecheng-10736	272	13	−	−	PROPN
fumecheng-10736	272	14			ADJ
fumecheng-10736	272	15			ADJ
fumecheng-10736	272	16			ADP
fumecheng-10736	272	17	2	2	NUM
fumecheng-10736	272	18	4	4	NUM
fumecheng-10736	272	19	20	20	NUM
fumecheng-10736	272	20	0	0	NUM
fumecheng-10736	272	21	2	2	NUM
fumecheng-10736	272	22	2	2	NUM
fumecheng-10736	272	23	2	2	NUM
fumecheng-10736	272	24	0	0	NUM
fumecheng-10736	272	25	0	0	NUM
fumecheng-10736	272	26	2	2	NUM
fumecheng-10736	272	27	3	3	NUM
fumecheng-10736	272	28	0	0	NUM
fumecheng-10736	272	29	0	0	NUM
fumecheng-10736	272	30	2	2	NUM
fumecheng-10736	272	31	3	3	NUM
fumecheng-10736	272	32	0	0	NUM
fumecheng-10736	272	33	0	0	NUM
fumecheng-10736	272	34	(	(	PUNCT
fumecheng-10736	272	35	,	,	PUNCT
fumecheng-10736	272	36	)	)	PUNCT
fumecheng-10736	272	37	(	(	PUNCT
fumecheng-10736	272	38	,	,	PUNCT
fumecheng-10736	272	39	)	)	PUNCT
fumecheng-10736	272	40	(	(	PUNCT
fumecheng-10736	272	41	,	,	PUNCT
fumecheng-10736	272	42	)	)	PUNCT
fumecheng-10736	272	43	(	(	PUNCT
fumecheng-10736	272	44	,	,	PUNCT
fumecheng-10736	272	45	)	)	PUNCT
fumecheng-10736	272	46	(	(	PUNCT
fumecheng-10736	272	47	)	)	PUNCT
fumecheng-10736	272	48	x	x	PUNCT
fumecheng-10736	272	49	l	l	NOUN
fumecheng-10736	272	50	t	t	NOUN
fumecheng-10736	272	51	v	v	X
fumecheng-10736	272	52	x	x	SYM
fumecheng-10736	272	53	x	x	PUNCT
fumecheng-10736	272	54	l	l	NOUN
fumecheng-10736	272	55	t	t	NOUN
fumecheng-10736	272	56	h	h	NOUN
fumecheng-10736	272	57	t	t	PROPN
fumecheng-10736	272	58	eff	eff	PROPN
fumecheng-10736	272	59	x	x	PROPN
fumecheng-10736	272	60	v	v	PROPN
fumecheng-10736	272	61	x	x	SYM
fumecheng-10736	272	62	t	t	NOUN
fumecheng-10736	272	63	v	v	NOUN
fumecheng-10736	272	64	x	x	SYM
fumecheng-10736	272	65	t	t	X
fumecheng-10736	272	66	il	il	PROPN
fumecheng-10736	272	67	dt	dt	NOUN
fumecheng-10736	272	68	x	x	PUNCT
fumecheng-10736	272	69	x	x	SYM
fumecheng-10736	272	70	t	t	NOUN
fumecheng-10736	272	71	v	v	NUM
fumecheng-10736	272	72	x	x	SYM
fumecheng-10736	272	73	t	t	PROPN
fumecheng-10736	272	74	v	v	NOUN
fumecheng-10736	272	75	x	x	SYM
fumecheng-10736	272	76	t	t	NOUN
fumecheng-10736	272	77	ei	ei	NOUN
fumecheng-10736	272	78	dt	dt	NOUN
fumecheng-10736	272	79	x	x	PUNCT
fumecheng-10736	272	80	x	x	PUNCT
fumecheng-10736	272	81			ADP
fumecheng-10736	272	82			NUM
fumecheng-10736	272	83			NUM
fumecheng-10736	272	84	=	=	SYM
fumecheng-10736	272	85	=	=	SYM
fumecheng-10736	272	86	=	=	PUNCT
fumecheng-10736	272	87	=	=	PUNCT
fumecheng-10736	272	88			PROPN
fumecheng-10736	272	89			NOUN
fumecheng-10736	272	90	−	−	PUNCT
fumecheng-10736	273	1			ADJ
fumecheng-10736	273	2			PROPN
fumecheng-10736	273	3			PROPN
fumecheng-10736	273	4			PROPN
fumecheng-10736	273	5			PROPN
fumecheng-10736	273	6			PROPN
fumecheng-10736	273	7			ADJ
fumecheng-10736	273	8			NOUN
fumecheng-10736	273	9	+	+	CCONJ
fumecheng-10736	273	10	−	−	X
fumecheng-10736	273	11	+	+	ADJ
fumecheng-10736	273	12			NOUN
fumecheng-10736	273	13			ADJ
fumecheng-10736	273	14			PROPN
fumecheng-10736	273	15			ADP
fumecheng-10736	273	16			PROPN
fumecheng-10736	273	17			X
fumecheng-10736	273	18			PUNCT
fumecheng-10736	273	19	u	u	X
fumecheng-10736	273	20	p	p	X
fumecheng-10736	273	21	(	(	PUNCT
fumecheng-10736	273	22	33	33	NUM
fumecheng-10736	273	23	)	)	PUNCT
fumecheng-10736	273	24	considering	consider	VERB
fumecheng-10736	273	25	the	the	DET
fumecheng-10736	273	26	arbitrariness	arbitrariness	NOUN
fumecheng-10736	273	27	of	of	ADP
fumecheng-10736	273	28	δv0(x	δv0(x	PROPN
fumecheng-10736	273	29	,	,	PUNCT
fumecheng-10736	273	30	t	t	PROPN
fumecheng-10736	273	31	)	)	PUNCT
fumecheng-10736	273	32	during	during	ADP
fumecheng-10736	273	33	the	the	DET
fumecheng-10736	273	34	time	time	NOUN
fumecheng-10736	273	35	interval	interval	NOUN
fumecheng-10736	273	36	[	[	X
fumecheng-10736	273	37	0	0	NUM
fumecheng-10736	273	38	,	,	PUNCT
fumecheng-10736	273	39	t	t	PROPN
fumecheng-10736	273	40	]	]	PUNCT
fumecheng-10736	273	41	,	,	PUNCT
fumecheng-10736	273	42	the	the	DET
fumecheng-10736	273	43	governing	govern	VERB
fumecheng-10736	273	44	differential	differential	ADJ
fumecheng-10736	273	45	equation	equation	NOUN
fumecheng-10736	273	46	of	of	ADP
fumecheng-10736	273	47	motion	motion	NOUN
fumecheng-10736	273	48	is	be	AUX
fumecheng-10736	273	49	unveiled	unveil	VERB
fumecheng-10736	273	50	as	as	ADP
fumecheng-10736	273	51	:	:	PUNCT
fumecheng-10736	273	52	6	6	NUM
fumecheng-10736	273	53	4	4	NUM
fumecheng-10736	273	54	2	2	NUM
fumecheng-10736	273	55	0	0	NUM
fumecheng-10736	273	56	0	0	NUM
fumecheng-10736	273	57	0	0	NUM
fumecheng-10736	273	58	06	06	NUM
fumecheng-10736	273	59	4	4	NUM
fumecheng-10736	273	60	2	2	NUM
fumecheng-10736	273	61	2	2	NUM
fumecheng-10736	273	62	4	4	NUM
fumecheng-10736	273	63	6	6	NUM
fumecheng-10736	273	64	4	4	NUM
fumecheng-10736	273	65	2	2	NUM
fumecheng-10736	273	66	20	20	NUM
fumecheng-10736	273	67	0	0	NUM
fumecheng-10736	273	68	0	0	NUM
fumecheng-10736	273	69	0	0	NUM
fumecheng-10736	273	70	2	2	NUM
fumecheng-10736	273	71	2	2	NUM
fumecheng-10736	273	72	2	2	NUM
fumecheng-10736	273	73	4	4	NUM
fumecheng-10736	273	74	2	2	NUM
fumecheng-10736	273	75	2	2	NUM
fumecheng-10736	273	76	2	2	NUM
fumecheng-10736	273	77	(	(	PUNCT
fumecheng-10736	273	78	,	,	PUNCT
fumecheng-10736	273	79	)	)	PUNCT
fumecheng-10736	273	80	(	(	PUNCT
fumecheng-10736	273	81	,	,	PUNCT
fumecheng-10736	273	82	)	)	PUNCT
fumecheng-10736	273	83	(	(	PUNCT
fumecheng-10736	273	84	,	,	PUNCT
fumecheng-10736	273	85	)	)	PUNCT
fumecheng-10736	273	86	(	(	PUNCT
fumecheng-10736	273	87	)	)	PUNCT
fumecheng-10736	273	88	(	(	PUNCT
fumecheng-10736	273	89	)	)	PUNCT
fumecheng-10736	273	90	(	(	PUNCT
fumecheng-10736	273	91	)	)	PUNCT
fumecheng-10736	273	92	(	(	PUNCT
fumecheng-10736	273	93	,	,	PUNCT
fumecheng-10736	273	94	)	)	PUNCT
fumecheng-10736	273	95	(	(	PUNCT
fumecheng-10736	273	96	,	,	PUNCT
fumecheng-10736	273	97	)	)	PUNCT
fumecheng-10736	273	98	(	(	PUNCT
fumecheng-10736	273	99	,	,	PUNCT
fumecheng-10736	273	100	)	)	PUNCT
fumecheng-10736	273	101	(	(	PUNCT
fumecheng-10736	273	102	,	,	PUNCT
fumecheng-10736	273	103	)	)	PUNCT
fumecheng-10736	273	104	(	(	PUNCT
fumecheng-10736	273	105	,	,	PUNCT
fumecheng-10736	273	106	)	)	PUNCT
fumecheng-10736	273	107	(	(	PUNCT
fumecheng-10736	273	108	,	,	PUNCT
fumecheng-10736	273	109	)	)	PUNCT
fumecheng-10736	273	110	2	2	NUM
fumecheng-10736	273	111	h	h	NOUN
fumecheng-10736	273	112	l	l	NOUN
fumecheng-10736	273	113	sur	sur	PROPN
fumecheng-10736	273	114	eff	eff	PROPN
fumecheng-10736	273	115	eff	eff	PROPN
fumecheng-10736	273	116	res	res	PROPN
fumecheng-10736	273	117	es	es	ADP
fumecheng-10736	273	118	y	y	PROPN
fumecheng-10736	273	119	v	v	NUM
fumecheng-10736	273	120	v	v	NUM
fumecheng-10736	273	121	v	v	NOUN
fumecheng-10736	273	122	x	x	SYM
fumecheng-10736	273	123	t	t	NOUN
fumecheng-10736	273	124	v	v	NUM
fumecheng-10736	273	125	x	x	SYM
fumecheng-10736	273	126	t	t	PROPN
fumecheng-10736	273	127	v	v	NOUN
fumecheng-10736	273	128	x	x	SYM
fumecheng-10736	273	129	t	t	NOUN
fumecheng-10736	273	130	ei	ei	X
fumecheng-10736	274	1	ei	ei	X
fumecheng-10736	274	2	s	s	PROPN
fumecheng-10736	274	3	p	p	X
fumecheng-10736	274	4	k	k	PROPN
fumecheng-10736	274	5	v	v	PROPN
fumecheng-10736	274	6	x	x	SYM
fumecheng-10736	274	7	t	t	NOUN
fumecheng-10736	274	8	q	q	NOUN
fumecheng-10736	274	9	x	x	X
fumecheng-10736	274	10	t	t	NOUN
fumecheng-10736	274	11	x	x	PUNCT
fumecheng-10736	274	12	x	x	PUNCT
fumecheng-10736	274	13	x	x	SYM
fumecheng-10736	274	14	v	v	NUM
fumecheng-10736	274	15	x	x	SYM
fumecheng-10736	274	16	t	t	NOUN
fumecheng-10736	274	17	v	v	NOUN
fumecheng-10736	274	18	x	x	SYM
fumecheng-10736	274	19	t	t	PROPN
fumecheng-10736	274	20	v	v	NUM
fumecheng-10736	274	21	x	x	SYM
fumecheng-10736	274	22	t	t	PROPN
fumecheng-10736	274	23	v	v	NOUN
fumecheng-10736	274	24	x	x	SYM
fumecheng-10736	274	25	t	t	PROPN
fumecheng-10736	274	26	a	a	PRON
fumecheng-10736	274	27	l	l	NOUN
fumecheng-10736	275	1	i	i	NOUN
fumecheng-10736	275	2	l	l	NOUN
fumecheng-10736	276	1	t	t	NOUN
fumecheng-10736	276	2	x	x	SYM
fumecheng-10736	276	3	t	t	NOUN
fumecheng-10736	276	4	x	x	SYM
fumecheng-10736	276	5	t	t	PROPN
fumecheng-10736	276	6	x	x	SYM
fumecheng-10736	276	7	t	t	PROPN
fumecheng-10736	276	8			PROPN
fumecheng-10736	276	9			ADV
fumecheng-10736	276	10			ADP
fumecheng-10736	276	11			VERB
fumecheng-10736	276	12			ADJ
fumecheng-10736	276	13			ADJ
fumecheng-10736	276	14			PROPN
fumecheng-10736	276	15	−	−	PROPN
fumecheng-10736	277	1	+	+	CCONJ
fumecheng-10736	277	2	−	−	PROPN
fumecheng-10736	277	3	−	−	NOUN
fumecheng-10736	278	1	+	+	CCONJ
fumecheng-10736	278	2			ADJ
fumecheng-10736	278	3			ADJ
fumecheng-10736	278	4			PROPN
fumecheng-10736	278	5			NOUN
fumecheng-10736	278	6			PROPN
fumecheng-10736	278	7			NOUN
fumecheng-10736	278	8			PROPN
fumecheng-10736	278	9			ADJ
fumecheng-10736	278	10			ADJ
fumecheng-10736	278	11			PROPN
fumecheng-10736	278	12	=	=	SYM
fumecheng-10736	278	13	−	−	PROPN
fumecheng-10736	279	1	+	+	CCONJ
fumecheng-10736	279	2	−	−	PROPN
fumecheng-10736	279	3			PROPN
fumecheng-10736	280	1			PROPN
fumecheng-10736	281	1			PROPN
fumecheng-10736	281	2			ADJ
fumecheng-10736	281	3			ADJ
fumecheng-10736	281	4			ADJ
fumecheng-10736	281	5			ADJ
fumecheng-10736	281	6			PROPN
fumecheng-10736	281	7			PROPN
fumecheng-10736	281	8			ADJ
fumecheng-10736	281	9			NOUN
fumecheng-10736	281	10			PROPN
fumecheng-10736	281	11			NOUN
fumecheng-10736	281	12	(	(	PUNCT
fumecheng-10736	281	13	34	34	NUM
fumecheng-10736	281	14	)	)	PUNCT
fumecheng-10736	281	15	eq	eq	NOUN
fumecheng-10736	281	16	.	.	PUNCT
fumecheng-10736	282	1	(	(	PUNCT
fumecheng-10736	282	2	34	34	NUM
fumecheng-10736	282	3	)	)	PUNCT
fumecheng-10736	282	4	serves	serve	VERB
fumecheng-10736	282	5	as	as	ADP
fumecheng-10736	282	6	a	a	DET
fumecheng-10736	282	7	fundamental	fundamental	ADJ
fumecheng-10736	282	8	equation	equation	NOUN
fumecheng-10736	282	9	for	for	ADP
fumecheng-10736	282	10	bending	bend	VERB
fumecheng-10736	282	11	,	,	PUNCT
fumecheng-10736	282	12	buckling	buckling	NOUN
fumecheng-10736	282	13	,	,	PUNCT
fumecheng-10736	282	14	and	and	CCONJ
fumecheng-10736	282	15	free	free	ADJ
fumecheng-10736	282	16	vibration	vibration	NOUN
fumecheng-10736	282	17	analyses	analysis	NOUN
fumecheng-10736	282	18	of	of	ADP
fumecheng-10736	282	19	nanobeam	nanobeam	ADJ
fumecheng-10736	282	20	-	-	PUNCT
fumecheng-10736	282	21	substrate	substrate	NOUN
fumecheng-10736	282	22	medium	medium	NOUN
fumecheng-10736	282	23	systems	system	NOUN
fumecheng-10736	282	24	.	.	PUNCT
fumecheng-10736	283	1	it	it	PRON
fumecheng-10736	283	2	is	be	AUX
fumecheng-10736	283	3	worth	worth	ADJ
fumecheng-10736	283	4	noting	note	VERB
fumecheng-10736	283	5	that	that	SCONJ
fumecheng-10736	283	6	the	the	DET
fumecheng-10736	283	7	governing	govern	VERB
fumecheng-10736	283	8	differential	differential	ADJ
fumecheng-10736	283	9	equation	equation	NOUN
fumecheng-10736	283	10	of	of	ADP
fumecheng-10736	283	11	motion	motion	NOUN
fumecheng-10736	283	12	for	for	ADP
fumecheng-10736	283	13	the	the	DET
fumecheng-10736	283	14	reformulated	reformulate	VERB
fumecheng-10736	283	15	strain	strain	NOUN
fumecheng-10736	283	16	-	-	PUNCT
fumecheng-10736	283	17	gradient	gradient	NOUN
fumecheng-10736	283	18	nanobeam	nanobeam	NOUN
fumecheng-10736	283	19	proposed	propose	VERB
fumecheng-10736	283	20	by	by	ADP
fumecheng-10736	283	21	zhang	zhang	PROPN
fumecheng-10736	283	22	and	and	CCONJ
fumecheng-10736	283	23	gao	gao	PROPN
fumecheng-10736	283	24	[	[	X
fumecheng-10736	283	25	30	30	NUM
fumecheng-10736	283	26	]	]	PUNCT
fumecheng-10736	283	27	can	can	AUX
fumecheng-10736	283	28	be	be	AUX
fumecheng-10736	283	29	retrieved	retrieve	VERB
fumecheng-10736	283	30	from	from	ADP
fumecheng-10736	283	31	eq	eq	PROPN
fumecheng-10736	283	32	.	.	PUNCT
fumecheng-10736	284	1	(	(	PUNCT
fumecheng-10736	284	2	34	34	NUM
fumecheng-10736	284	3	)	)	PUNCT
fumecheng-10736	284	4	when	when	SCONJ
fumecheng-10736	284	5	the	the	DET
fumecheng-10736	284	6	surface	surface	NOUN
fumecheng-10736	284	7	-	-	PUNCT
fumecheng-10736	284	8	energy	energy	NOUN
fumecheng-10736	284	9	effect	effect	NOUN
fumecheng-10736	284	10	and	and	CCONJ
fumecheng-10736	284	11	the	the	DET
fumecheng-10736	284	12	underlying	underlie	VERB
fumecheng-10736	284	13	substrate	substrate	NOUN
fumecheng-10736	284	14	medium	medium	NOUN
fumecheng-10736	284	15	are	be	AUX
fumecheng-10736	284	16	neglected	neglect	VERB
fumecheng-10736	284	17	.	.	PUNCT
fumecheng-10736	285	1	572	572	NUM
fumecheng-10736	285	2	s.	s.	PROPN
fumecheng-10736	285	3	limkatanyu	limkatanyu	PROPN
fumecheng-10736	285	4	,	,	PUNCT
fumecheng-10736	285	5	w.	w.	PROPN
fumecheng-10736	285	6	sae	sae	PROPN
fumecheng-10736	285	7	-	-	PROPN
fumecheng-10736	285	8	long	long	ADV
fumecheng-10736	285	9	,	,	PUNCT
fumecheng-10736	285	10	j.	j.	PROPN
fumecheng-10736	285	11	rungamornrat	rungamornrat	PROPN
fumecheng-10736	285	12	,	,	PUNCT
fumecheng-10736	285	13	et	et	PROPN
fumecheng-10736	285	14	al	al	PROPN
fumecheng-10736	285	15	.	.	PUNCT
fumecheng-10736	286	1	considering	consider	VERB
fumecheng-10736	286	2	the	the	DET
fumecheng-10736	286	3	arbitrariness	arbitrariness	NOUN
fumecheng-10736	286	4	of	of	ADP
fumecheng-10736	286	5	δv0(x	δv0(x	PROPN
fumecheng-10736	286	6	,	,	PUNCT
fumecheng-10736	286	7	t	t	PROPN
fumecheng-10736	286	8	)	)	PUNCT
fumecheng-10736	286	9	and	and	CCONJ
fumecheng-10736	286	10	δu	δu	X
fumecheng-10736	286	11	on	on	ADP
fumecheng-10736	286	12	boundary	boundary	ADJ
fumecheng-10736	286	13	terms	term	NOUN
fumecheng-10736	286	14	in	in	ADP
fumecheng-10736	286	15	eq	eq	ADP
fumecheng-10736	286	16	.	.	PUNCT
fumecheng-10736	287	1	(	(	PUNCT
fumecheng-10736	287	2	33	33	NUM
fumecheng-10736	287	3	)	)	PUNCT
fumecheng-10736	287	4	provides	provide	VERB
fumecheng-10736	287	5	boundary	boundary	ADJ
fumecheng-10736	287	6	conditions	condition	NOUN
fumecheng-10736	287	7	of	of	ADP
fumecheng-10736	287	8	the	the	DET
fumecheng-10736	287	9	nanobeam	nanobeam	ADJ
fumecheng-10736	287	10	-	-	PUNCT
fumecheng-10736	287	11	substrate	substrate	NOUN
fumecheng-10736	287	12	medium	medium	NOUN
fumecheng-10736	287	13	system	system	NOUN
fumecheng-10736	287	14	as	as	ADP
fumecheng-10736	287	15	:	:	PUNCT
fumecheng-10736	287	16	boundary	boundary	ADJ
fumecheng-10736	287	17	conditions	condition	NOUN
fumecheng-10736	287	18	:	:	PUNCT
fumecheng-10736	287	19	5	5	NUM
fumecheng-10736	287	20	3	3	NUM
fumecheng-10736	287	21	0	0	NUM
fumecheng-10736	287	22	0	0	NUM
fumecheng-10736	287	23	0	0	NUM
fumecheng-10736	287	24	1	1	NUM
fumecheng-10736	287	25	5	5	NUM
fumecheng-10736	287	26	3	3	NUM
fumecheng-10736	287	27	3	3	NUM
fumecheng-10736	287	28	5	5	NUM
fumecheng-10736	287	29	2	2	NUM
fumecheng-10736	287	30	20	20	NUM
fumecheng-10736	287	31	0	0	NUM
fumecheng-10736	287	32	2	2	NUM
fumecheng-10736	287	33	3	3	NUM
fumecheng-10736	287	34	2	2	NUM
fumecheng-10736	287	35	0	0	NUM
fumecheng-10736	287	36	4	4	NUM
fumecheng-10736	287	37	2	2	NUM
fumecheng-10736	287	38	4	4	NUM
fumecheng-10736	287	39	20	20	NUM
fumecheng-10736	287	40	0	0	NUM
fumecheng-10736	287	41	0	0	NUM
fumecheng-10736	287	42	2	2	NUM
fumecheng-10736	287	43	4	4	NUM
fumecheng-10736	287	44	2	2	NUM
fumecheng-10736	287	45	2	2	NUM
fumecheng-10736	287	46	2	2	NUM
fumecheng-10736	287	47	(	(	PUNCT
fumecheng-10736	287	48	,	,	PUNCT
fumecheng-10736	287	49	)	)	PUNCT
fumecheng-10736	287	50	(	(	PUNCT
fumecheng-10736	287	51	,	,	PUNCT
fumecheng-10736	287	52	)	)	PUNCT
fumecheng-10736	287	53	(	(	PUNCT
fumecheng-10736	287	54	,	,	PUNCT
fumecheng-10736	287	55	)	)	PUNCT
fumecheng-10736	287	56	(	(	PUNCT
fumecheng-10736	287	57	)	)	PUNCT
fumecheng-10736	287	58	(	(	PUNCT
fumecheng-10736	287	59	)	)	PUNCT
fumecheng-10736	287	60	(	(	PUNCT
fumecheng-10736	287	61	)	)	PUNCT
fumecheng-10736	287	62	(	(	PUNCT
fumecheng-10736	287	63	,	,	PUNCT
fumecheng-10736	287	64	)	)	PUNCT
fumecheng-10736	287	65	(	(	PUNCT
fumecheng-10736	287	66	,	,	PUNCT
fumecheng-10736	287	67	)	)	PUNCT
fumecheng-10736	287	68	(	(	PUNCT
fumecheng-10736	287	69	2	2	NUM
fumecheng-10736	287	70	)	)	PUNCT
fumecheng-10736	287	71	;	;	PUNCT
fumecheng-10736	287	72	(	(	PUNCT
fumecheng-10736	287	73	,	,	PUNCT
fumecheng-10736	287	74	)	)	PUNCT
fumecheng-10736	287	75	(	(	PUNCT
fumecheng-10736	287	76	,	,	PUNCT
fumecheng-10736	287	77	)	)	PUNCT
fumecheng-10736	287	78	(	(	PUNCT
fumecheng-10736	287	79	,	,	PUNCT
fumecheng-10736	287	80	)	)	PUNCT
fumecheng-10736	287	81	(	(	PUNCT
fumecheng-10736	287	82	)	)	PUNCT
fumecheng-10736	287	83	(	(	PUNCT
fumecheng-10736	287	84	)	)	PUNCT
fumecheng-10736	287	85	h	h	SYM
fumecheng-10736	288	1	l	l	NOUN
fumecheng-10736	288	2	sur	sur	PROPN
fumecheng-10736	288	3	eff	eff	PROPN
fumecheng-10736	288	4	eff	eff	PROPN
fumecheng-10736	288	5	res	re	VERB
fumecheng-10736	288	6	v	v	ADP
fumecheng-10736	288	7	v	v	NOUN
fumecheng-10736	289	1	x	x	SYM
fumecheng-10736	289	2	h	h	NOUN
fumecheng-10736	289	3	l	l	NOUN
fumecheng-10736	289	4	eff	eff	PROPN
fumecheng-10736	289	5	eff	eff	PROPN
fumecheng-10736	289	6	v	v	ADP
fumecheng-10736	289	7	v	v	PROPN
fumecheng-10736	289	8	x	x	SYM
fumecheng-10736	289	9	t	t	NOUN
fumecheng-10736	289	10	v	v	NUM
fumecheng-10736	289	11	x	x	SYM
fumecheng-10736	289	12	t	t	PROPN
fumecheng-10736	289	13	v	v	NOUN
fumecheng-10736	289	14	x	x	SYM
fumecheng-10736	289	15	t	t	NOUN
fumecheng-10736	289	16	p	p	X
fumecheng-10736	289	17	ei	ei	X
fumecheng-10736	289	18	ei	ei	X
fumecheng-10736	289	19	s	s	X
fumecheng-10736	289	20	p	p	X
fumecheng-10736	289	21	xx	xx	NUM
fumecheng-10736	289	22	x	x	SYM
fumecheng-10736	289	23	v	v	PROPN
fumecheng-10736	289	24	x	x	SYM
fumecheng-10736	289	25	t	t	NOUN
fumecheng-10736	289	26	v	v	NOUN
fumecheng-10736	289	27	x	x	SYM
fumecheng-10736	289	28	t	t	NOUN
fumecheng-10736	289	29	al	al	PROPN
fumecheng-10736	290	1	i	i	PRON
fumecheng-10736	290	2	il	il	PROPN
fumecheng-10736	290	3	x	x	PROPN
fumecheng-10736	290	4	t	t	PROPN
fumecheng-10736	290	5	x	x	X
fumecheng-10736	290	6	t	t	PROPN
fumecheng-10736	290	7	v	v	NUM
fumecheng-10736	290	8	x	x	SYM
fumecheng-10736	290	9	t	t	PROPN
fumecheng-10736	290	10	v	v	NUM
fumecheng-10736	290	11	x	x	SYM
fumecheng-10736	290	12	t	t	PROPN
fumecheng-10736	290	13	v	v	NOUN
fumecheng-10736	290	14	x	x	SYM
fumecheng-10736	290	15	t	t	NOUN
fumecheng-10736	290	16	p	p	X
fumecheng-10736	290	17	ei	ei	X
fumecheng-10736	290	18	ei	ei	X
fumecheng-10736	290	19	il	il	PROPN
fumecheng-10736	290	20	x	x	PUNCT
fumecheng-10736	290	21	x	x	PUNCT
fumecheng-10736	290	22	x	x	X
fumecheng-10736	290	23	t	t	NOUN
fumecheng-10736	290	24			PROPN
fumecheng-10736	290	25			ADV
fumecheng-10736	290	26			NOUN
fumecheng-10736	290	27			PROPN
fumecheng-10736	290	28	=	=	PUNCT
fumecheng-10736	290	29			NOUN
fumecheng-10736	290	30			ADJ
fumecheng-10736	290	31			ADJ
fumecheng-10736	290	32			PROPN
fumecheng-10736	290	33	=	=	PUNCT
fumecheng-10736	291	1	−	−	PROPN
fumecheng-10736	291	2	−	−	PROPN
fumecheng-10736	292	1	+	+	CCONJ
fumecheng-10736	292	2	−	−	PROPN
fumecheng-10736	292	3	−	−	PROPN
fumecheng-10736	292	4			VERB
fumecheng-10736	292	5			NUM
fumecheng-10736	292	6			PROPN
fumecheng-10736	292	7			PROPN
fumecheng-10736	292	8			ADJ
fumecheng-10736	292	9	−	−	PROPN
fumecheng-10736	293	1	+	+	CCONJ
fumecheng-10736	293	2	+	+	NUM
fumecheng-10736	293	3			X
fumecheng-10736	293	4			NUM
fumecheng-10736	293	5			PROPN
fumecheng-10736	293	6			PROPN
fumecheng-10736	293	7			VERB
fumecheng-10736	293	8			PROPN
fumecheng-10736	293	9			NOUN
fumecheng-10736	293	10			ADJ
fumecheng-10736	293	11			ADJ
fumecheng-10736	293	12			PROPN
fumecheng-10736	293	13	=	=	SYM
fumecheng-10736	293	14	−	−	PROPN
fumecheng-10736	294	1	−	−	NOUN
fumecheng-10736	295	1	−	−	SCONJ
fumecheng-10736	295	2			ADJ
fumecheng-10736	295	3			ADJ
fumecheng-10736	295	4			PROPN
fumecheng-10736	295	5			VERB
fumecheng-10736	295	6	3	3	NUM
fumecheng-10736	295	7	0	0	NUM
fumecheng-10736	295	8	3	3	NUM
fumecheng-10736	295	9	3	3	NUM
fumecheng-10736	295	10	0	0	NUM
fumecheng-10736	295	11	0	0	NUM
fumecheng-10736	295	12	5	5	NUM
fumecheng-10736	295	13	3	3	NUM
fumecheng-10736	295	14	0	0	NUM
fumecheng-10736	295	15	0	0	NUM
fumecheng-10736	295	16	0	0	NUM
fumecheng-10736	295	17	4	4	NUM
fumecheng-10736	295	18	5	5	NUM
fumecheng-10736	295	19	3	3	NUM
fumecheng-10736	295	20	3	3	NUM
fumecheng-10736	295	21	5	5	NUM
fumecheng-10736	295	22	2	2	NUM
fumecheng-10736	295	23	20	20	NUM
fumecheng-10736	295	24	0	0	NUM
fumecheng-10736	295	25	2	2	NUM
fumecheng-10736	295	26	3	3	NUM
fumecheng-10736	295	27	2	2	NUM
fumecheng-10736	295	28	4	4	NUM
fumecheng-10736	295	29	0	0	NUM
fumecheng-10736	295	30	5	5	NUM
fumecheng-10736	295	31	4	4	NUM
fumecheng-10736	295	32	(	(	PUNCT
fumecheng-10736	295	33	,	,	PUNCT
fumecheng-10736	295	34	)	)	PUNCT
fumecheng-10736	295	35	;	;	PUNCT
fumecheng-10736	295	36	(	(	PUNCT
fumecheng-10736	295	37	)	)	PUNCT
fumecheng-10736	295	38	;	;	PUNCT
fumecheng-10736	295	39	(	(	PUNCT
fumecheng-10736	295	40	,	,	PUNCT
fumecheng-10736	295	41	)	)	PUNCT
fumecheng-10736	295	42	(	(	PUNCT
fumecheng-10736	295	43	,	,	PUNCT
fumecheng-10736	295	44	)	)	PUNCT
fumecheng-10736	295	45	(	(	PUNCT
fumecheng-10736	295	46	,	,	PUNCT
fumecheng-10736	295	47	)	)	PUNCT
fumecheng-10736	295	48	(	(	PUNCT
fumecheng-10736	295	49	)	)	PUNCT
fumecheng-10736	295	50	(	(	PUNCT
fumecheng-10736	295	51	)	)	PUNCT
fumecheng-10736	295	52	(	(	PUNCT
fumecheng-10736	295	53	)	)	PUNCT
fumecheng-10736	295	54	(	(	PUNCT
fumecheng-10736	295	55	,	,	PUNCT
fumecheng-10736	295	56	)	)	PUNCT
fumecheng-10736	295	57	(	(	PUNCT
fumecheng-10736	295	58	,	,	PUNCT
fumecheng-10736	295	59	)	)	PUNCT
fumecheng-10736	295	60	(	(	PUNCT
fumecheng-10736	295	61	2	2	NUM
fumecheng-10736	295	62	)	)	PUNCT
fumecheng-10736	295	63	;	;	PUNCT
fumecheng-10736	295	64	(	(	PUNCT
fumecheng-10736	295	65	,	,	PUNCT
fumecheng-10736	295	66	)	)	PUNCT
fumecheng-10736	295	67	(	(	PUNCT
fumecheng-10736	295	68	)	)	PUNCT
fumecheng-10736	295	69	(	(	PUNCT
fumecheng-10736	295	70	h	h	NOUN
fumecheng-10736	295	71	eff	eff	NOUN
fumecheng-10736	295	72	x	x	PUNCT
fumecheng-10736	295	73	x	x	SYM
fumecheng-10736	295	74	h	h	NOUN
fumecheng-10736	295	75	l	l	NOUN
fumecheng-10736	295	76	sur	sur	PROPN
fumecheng-10736	295	77	eff	eff	PROPN
fumecheng-10736	295	78	eff	eff	PROPN
fumecheng-10736	295	79	res	re	VERB
fumecheng-10736	295	80	v	v	ADP
fumecheng-10736	295	81	v	v	NOUN
fumecheng-10736	295	82	x	x	SYM
fumecheng-10736	295	83	l	l	NOUN
fumecheng-10736	295	84	h	h	NOUN
fumecheng-10736	295	85	eff	eff	PROPN
fumecheng-10736	295	86	v	v	PROPN
fumecheng-10736	295	87	x	x	X
fumecheng-10736	295	88	t	t	NOUN
fumecheng-10736	295	89	p	p	X
fumecheng-10736	295	90	ei	ei	X
fumecheng-10736	295	91	x	x	SYM
fumecheng-10736	295	92	v	v	PROPN
fumecheng-10736	295	93	x	x	SYM
fumecheng-10736	295	94	t	t	NOUN
fumecheng-10736	295	95	v	v	NOUN
fumecheng-10736	295	96	x	x	SYM
fumecheng-10736	295	97	t	t	PROPN
fumecheng-10736	295	98	v	v	NOUN
fumecheng-10736	295	99	x	x	SYM
fumecheng-10736	295	100	t	t	NOUN
fumecheng-10736	295	101	p	p	X
fumecheng-10736	295	102	ei	ei	X
fumecheng-10736	295	103	ei	ei	X
fumecheng-10736	295	104	s	s	X
fumecheng-10736	295	105	p	p	X
fumecheng-10736	295	106	xx	xx	NUM
fumecheng-10736	295	107	x	x	SYM
fumecheng-10736	295	108	v	v	PROPN
fumecheng-10736	295	109	x	x	SYM
fumecheng-10736	295	110	t	t	NOUN
fumecheng-10736	295	111	v	v	NOUN
fumecheng-10736	295	112	x	x	SYM
fumecheng-10736	295	113	t	t	NOUN
fumecheng-10736	295	114	al	al	PROPN
fumecheng-10736	296	1	i	i	PRON
fumecheng-10736	296	2	il	il	PROPN
fumecheng-10736	296	3	x	x	PROPN
fumecheng-10736	296	4	t	t	PROPN
fumecheng-10736	296	5	x	x	X
fumecheng-10736	296	6	t	t	PROPN
fumecheng-10736	296	7	v	v	NUM
fumecheng-10736	296	8	x	x	SYM
fumecheng-10736	296	9	t	t	NOUN
fumecheng-10736	296	10	p	p	X
fumecheng-10736	296	11	ei	ei	X
fumecheng-10736	296	12	e	e	X
fumecheng-10736	296	13	x	x	X
fumecheng-10736	296	14			X
fumecheng-10736	296	15			ADV
fumecheng-10736	296	16	=	=	PUNCT
fumecheng-10736	296	17	=	=	PUNCT
fumecheng-10736	296	18			VERB
fumecheng-10736	296	19	=	=	SYM
fumecheng-10736	296	20			NOUN
fumecheng-10736	296	21			NOUN
fumecheng-10736	296	22			NOUN
fumecheng-10736	297	1	=	=	PUNCT
fumecheng-10736	297	2	−	−	PROPN
fumecheng-10736	298	1	−	−	PROPN
fumecheng-10736	298	2			PROPN
fumecheng-10736	299	1			PROPN
fumecheng-10736	300	1			PROPN
fumecheng-10736	300	2			PROPN
fumecheng-10736	301	1			PROPN
fumecheng-10736	301	2			NOUN
fumecheng-10736	301	3			NOUN
fumecheng-10736	301	4			ADJ
fumecheng-10736	301	5			ADJ
fumecheng-10736	301	6			PROPN
fumecheng-10736	301	7	=	=	SYM
fumecheng-10736	302	1	−	−	PROPN
fumecheng-10736	303	1	+	+	CCONJ
fumecheng-10736	303	2	−	−	PROPN
fumecheng-10736	303	3	−	−	PROPN
fumecheng-10736	303	4			VERB
fumecheng-10736	303	5			NUM
fumecheng-10736	303	6			PROPN
fumecheng-10736	303	7			PROPN
fumecheng-10736	303	8			ADJ
fumecheng-10736	303	9	−	−	PROPN
fumecheng-10736	304	1	+	+	CCONJ
fumecheng-10736	304	2	+	+	NUM
fumecheng-10736	304	3			X
fumecheng-10736	304	4			NUM
fumecheng-10736	304	5			PROPN
fumecheng-10736	304	6			PROPN
fumecheng-10736	304	7			VERB
fumecheng-10736	304	8			PROPN
fumecheng-10736	304	9			NOUN
fumecheng-10736	304	10	=	=	SYM
fumecheng-10736	304	11	−	−	NOUN
fumecheng-10736	304	12			NOUN
fumecheng-10736	304	13	2	2	NUM
fumecheng-10736	304	14	4	4	NUM
fumecheng-10736	304	15	3	3	NUM
fumecheng-10736	304	16	20	20	NUM
fumecheng-10736	304	17	0	0	NUM
fumecheng-10736	304	18	0	0	NUM
fumecheng-10736	304	19	62	62	NUM
fumecheng-10736	304	20	2	2	NUM
fumecheng-10736	304	21	2	2	NUM
fumecheng-10736	304	22	3	3	NUM
fumecheng-10736	304	23	(	(	PUNCT
fumecheng-10736	304	24	,	,	PUNCT
fumecheng-10736	304	25	)	)	PUNCT
fumecheng-10736	304	26	(	(	PUNCT
fumecheng-10736	304	27	,	,	PUNCT
fumecheng-10736	304	28	)	)	PUNCT
fumecheng-10736	304	29	(	(	PUNCT
fumecheng-10736	304	30	,	,	PUNCT
fumecheng-10736	304	31	)	)	PUNCT
fumecheng-10736	304	32	)	)	PUNCT
fumecheng-10736	304	33	;	;	PUNCT
fumecheng-10736	304	34	(	(	PUNCT
fumecheng-10736	304	35	)	)	PUNCT
fumecheng-10736	304	36	l	l	NOUN
fumecheng-10736	304	37	h	h	NOUN
fumecheng-10736	304	38	eff	eff	PROPN
fumecheng-10736	304	39	v	v	NUM
fumecheng-10736	304	40	eff	eff	PROPN
fumecheng-10736	304	41	x	x	X
fumecheng-10736	304	42	l	l	NOUN
fumecheng-10736	304	43	x	x	PUNCT
fumecheng-10736	305	1	l	l	NOUN
fumecheng-10736	305	2	v	v	X
fumecheng-10736	305	3	x	x	SYM
fumecheng-10736	305	4	t	t	NOUN
fumecheng-10736	305	5	v	v	NOUN
fumecheng-10736	305	6	x	x	SYM
fumecheng-10736	305	7	t	t	PROPN
fumecheng-10736	305	8	v	v	NUM
fumecheng-10736	305	9	x	x	X
fumecheng-10736	305	10	t	t	NOUN
fumecheng-10736	306	1	i	i	INTJ
fumecheng-10736	306	2	il	il	PROPN
fumecheng-10736	306	3	p	p	X
fumecheng-10736	306	4	ei	ei	X
fumecheng-10736	306	5	x	x	PUNCT
fumecheng-10736	306	6	x	x	X
fumecheng-10736	306	7	t	t	NOUN
fumecheng-10736	306	8	x	x	PUNCT
fumecheng-10736	306	9			NOUN
fumecheng-10736	306	10	=	=	PUNCT
fumecheng-10736	306	11	=	=	SYM
fumecheng-10736	306	12			NOUN
fumecheng-10736	306	13			PROPN
fumecheng-10736	306	14			NOUN
fumecheng-10736	306	15			NOUN
fumecheng-10736	306	16			ADJ
fumecheng-10736	306	17			ADJ
fumecheng-10736	306	18	−	−	PROPN
fumecheng-10736	307	1	=	=	SYM
fumecheng-10736	307	2	−	−	PROPN
fumecheng-10736	307	3			PROPN
fumecheng-10736	308	1			PROPN
fumecheng-10736	309	1			PROPN
fumecheng-10736	309	2			ADJ
fumecheng-10736	309	3			PROPN
fumecheng-10736	309	4			PROPN
fumecheng-10736	309	5			ADJ
fumecheng-10736	309	6			NOUN
fumecheng-10736	309	7			PROPN
fumecheng-10736	309	8			NOUN
fumecheng-10736	309	9	(	(	PUNCT
fumecheng-10736	309	10	35	35	NUM
fumecheng-10736	309	11	)	)	PUNCT
fumecheng-10736	309	12	6.3	6.3	NUM
fumecheng-10736	309	13	.	.	PUNCT
fumecheng-10736	310	1	analytical	analytical	ADJ
fumecheng-10736	310	2	solution	solution	NOUN
fumecheng-10736	310	3	for	for	ADP
fumecheng-10736	310	4	bending	bend	VERB
fumecheng-10736	310	5	analyses	analysis	NOUN
fumecheng-10736	310	6	when	when	SCONJ
fumecheng-10736	310	7	the	the	DET
fumecheng-10736	310	8	applied	apply	VERB
fumecheng-10736	310	9	axial	axial	ADJ
fumecheng-10736	310	10	force	force	NOUN
fumecheng-10736	310	11	p	p	NOUN
fumecheng-10736	310	12	and	and	CCONJ
fumecheng-10736	310	13	the	the	DET
fumecheng-10736	310	14	inertia	inertia	NOUN
fumecheng-10736	310	15	forces	force	NOUN
fumecheng-10736	310	16	are	be	AUX
fumecheng-10736	310	17	omitted	omit	VERB
fumecheng-10736	310	18	,	,	PUNCT
fumecheng-10736	310	19	the	the	DET
fumecheng-10736	310	20	governing	govern	VERB
fumecheng-10736	310	21	equation	equation	NOUN
fumecheng-10736	310	22	for	for	ADP
fumecheng-10736	310	23	bending	bend	VERB
fumecheng-10736	310	24	analyses	analysis	NOUN
fumecheng-10736	310	25	of	of	ADP
fumecheng-10736	310	26	nanobeam	nanobeam	ADJ
fumecheng-10736	310	27	-	-	PUNCT
fumecheng-10736	310	28	substrate	substrate	NOUN
fumecheng-10736	310	29	medium	medium	NOUN
fumecheng-10736	310	30	systems	system	NOUN
fumecheng-10736	310	31	can	can	AUX
fumecheng-10736	310	32	be	be	AUX
fumecheng-10736	310	33	obtained	obtain	VERB
fumecheng-10736	310	34	from	from	ADP
fumecheng-10736	310	35	eq	eq	PROPN
fumecheng-10736	310	36	.	.	PUNCT
fumecheng-10736	311	1	(	(	PUNCT
fumecheng-10736	311	2	34	34	NUM
fumecheng-10736	311	3	)	)	PUNCT
fumecheng-10736	311	4	as	as	ADP
fumecheng-10736	311	5	:	:	PUNCT
fumecheng-10736	311	6	6	6	NUM
fumecheng-10736	312	1	4	4	NUM
fumecheng-10736	312	2	2	2	NUM
fumecheng-10736	312	3	0	0	NUM
fumecheng-10736	312	4	0	0	NUM
fumecheng-10736	312	5	0	0	NUM
fumecheng-10736	312	6	06	06	NUM
fumecheng-10736	312	7	4	4	NUM
fumecheng-10736	312	8	2	2	NUM
fumecheng-10736	312	9	(	(	PUNCT
fumecheng-10736	312	10	)	)	PUNCT
fumecheng-10736	312	11	(	(	PUNCT
fumecheng-10736	312	12	)	)	PUNCT
fumecheng-10736	312	13	(	(	PUNCT
fumecheng-10736	312	14	)	)	PUNCT
fumecheng-10736	312	15	(	(	PUNCT
fumecheng-10736	312	16	)	)	PUNCT
fumecheng-10736	312	17	(	(	PUNCT
fumecheng-10736	312	18	)	)	PUNCT
fumecheng-10736	312	19	(	(	PUNCT
fumecheng-10736	312	20	)	)	PUNCT
fumecheng-10736	312	21	(	(	PUNCT
fumecheng-10736	312	22	)	)	PUNCT
fumecheng-10736	312	23	0h	0h	PROPN
fumecheng-10736	312	24	l	l	PROPN
fumecheng-10736	313	1	sur	sur	PROPN
fumecheng-10736	313	2	eff	eff	PROPN
fumecheng-10736	313	3	eff	eff	PROPN
fumecheng-10736	313	4	res	res	PROPN
fumecheng-10736	313	5	es	es	ADP
fumecheng-10736	313	6	y	y	PROPN
fumecheng-10736	313	7	v	v	NOUN
fumecheng-10736	313	8	x	x	SYM
fumecheng-10736	313	9	v	v	PROPN
fumecheng-10736	313	10	x	x	SYM
fumecheng-10736	313	11	v	v	NOUN
fumecheng-10736	313	12	x	x	X
fumecheng-10736	313	13	ei	ei	X
fumecheng-10736	313	14	ei	ei	X
fumecheng-10736	313	15	s	s	PROPN
fumecheng-10736	313	16	k	k	X
fumecheng-10736	313	17	v	v	NOUN
fumecheng-10736	313	18	x	x	X
fumecheng-10736	313	19	q	q	NOUN
fumecheng-10736	313	20	x	x	X
fumecheng-10736	313	21	x	x	SYM
fumecheng-10736	313	22	x	x	SYM
fumecheng-10736	313	23	x	x	X
fumecheng-10736	313	24			NOUN
fumecheng-10736	313	25			VERB
fumecheng-10736	313	26			ADJ
fumecheng-10736	313	27			ADJ
fumecheng-10736	313	28			PROPN
fumecheng-10736	313	29	−	−	PROPN
fumecheng-10736	314	1	+	+	CCONJ
fumecheng-10736	314	2	−	−	PROPN
fumecheng-10736	315	1	+	+	CCONJ
fumecheng-10736	315	2	−	−	PROPN
fumecheng-10736	315	3	=	=	SYM
fumecheng-10736	315	4			ADJ
fumecheng-10736	315	5			ADJ
fumecheng-10736	315	6			PROPN
fumecheng-10736	315	7	(	(	PUNCT
fumecheng-10736	315	8	36	36	NUM
fumecheng-10736	315	9	)	)	PUNCT
fumecheng-10736	315	10	the	the	DET
fumecheng-10736	315	11	general	general	ADJ
fumecheng-10736	315	12	solution	solution	NOUN
fumecheng-10736	315	13	to	to	ADP
fumecheng-10736	315	14	eq	eq	PROPN
fumecheng-10736	315	15	.	.	PUNCT
fumecheng-10736	316	1	(	(	PUNCT
fumecheng-10736	316	2	36	36	NUM
fumecheng-10736	316	3	)	)	PUNCT
fumecheng-10736	316	4	possesses	possess	VERB
fumecheng-10736	316	5	two	two	NUM
fumecheng-10736	316	6	parts	part	NOUN
fumecheng-10736	316	7	,	,	PUNCT
fumecheng-10736	316	8	namely	namely	ADV
fumecheng-10736	316	9	;	;	PUNCT
fumecheng-10736	316	10	the	the	DET
fumecheng-10736	316	11	homogeneous	homogeneous	ADJ
fumecheng-10736	316	12	solution	solution	NOUN
fumecheng-10736	316	13	0	0	NUM
fumecheng-10736	317	1	(	(	PUNCT
fumecheng-10736	317	2	)	)	PUNCT
fumecheng-10736	317	3	hv	hv	PROPN
fumecheng-10736	317	4	x	x	X
fumecheng-10736	317	5	and	and	CCONJ
fumecheng-10736	317	6	the	the	DET
fumecheng-10736	317	7	particular	particular	ADJ
fumecheng-10736	317	8	solution	solution	NOUN
fumecheng-10736	317	9	0	0	NUM
fumecheng-10736	318	1	(	(	PUNCT
fumecheng-10736	318	2	)	)	PUNCT
fumecheng-10736	318	3	pv	pv	NOUN
fumecheng-10736	318	4	x	x	NOUN
fumecheng-10736	319	1	.	.	PUNCT
fumecheng-10736	319	2	0	0	NUM
fumecheng-10736	319	3	0	0	NUM
fumecheng-10736	319	4	0	0	NUM
fumecheng-10736	319	5	(	(	PUNCT
fumecheng-10736	319	6	)	)	PUNCT
fumecheng-10736	319	7	(	(	PUNCT
fumecheng-10736	319	8	)	)	PUNCT
fumecheng-10736	319	9	(	(	PUNCT
fumecheng-10736	319	10	)	)	PUNCT
fumecheng-10736	319	11	h	h	NOUN
fumecheng-10736	320	1	pv	pv	NOUN
fumecheng-10736	320	2	x	x	SYM
fumecheng-10736	320	3	v	v	X
fumecheng-10736	320	4	x	x	SYM
fumecheng-10736	320	5	v	v	NOUN
fumecheng-10736	320	6	x=	x=	PUNCT
fumecheng-10736	321	1	+	+	CCONJ
fumecheng-10736	321	2	(	(	PUNCT
fumecheng-10736	321	3	37	37	NUM
fumecheng-10736	321	4	)	)	PUNCT
fumecheng-10736	321	5	the	the	DET
fumecheng-10736	321	6	homogeneous	homogeneous	ADJ
fumecheng-10736	321	7	solution	solution	NOUN
fumecheng-10736	321	8	0	0	NUM
fumecheng-10736	322	1	(	(	PUNCT
fumecheng-10736	322	2	)	)	PUNCT
fumecheng-10736	322	3	hv	hv	PROPN
fumecheng-10736	322	4	x	x	VERB
fumecheng-10736	322	5	is	be	AUX
fumecheng-10736	322	6	obtained	obtain	VERB
fumecheng-10736	322	7	from	from	ADP
fumecheng-10736	322	8	eq	eq	PROPN
fumecheng-10736	322	9	.	.	PUNCT
fumecheng-10736	323	1	(	(	PUNCT
fumecheng-10736	323	2	36	36	NUM
fumecheng-10736	323	3	)	)	PUNCT
fumecheng-10736	323	4	when	when	SCONJ
fumecheng-10736	323	5	qy(x	qy(x	NOUN
fumecheng-10736	323	6	)	)	PUNCT
fumecheng-10736	323	7	=	=	SYM
fumecheng-10736	323	8	0	0	PUNCT
fumecheng-10736	323	9	while	while	SCONJ
fumecheng-10736	323	10	the	the	DET
fumecheng-10736	323	11	particular	particular	ADJ
fumecheng-10736	323	12	solution	solution	NOUN
fumecheng-10736	323	13	0	0	NUM
fumecheng-10736	323	14	(	(	PUNCT
fumecheng-10736	323	15	)	)	PUNCT
fumecheng-10736	323	16	pv	pv	X
fumecheng-10736	323	17	x	x	VERB
fumecheng-10736	323	18	depends	depend	VERB
fumecheng-10736	323	19	on	on	ADP
fumecheng-10736	323	20	the	the	DET
fumecheng-10736	323	21	transversely	transversely	ADV
fumecheng-10736	323	22	distributed	distribute	VERB
fumecheng-10736	323	23	load	load	NOUN
fumecheng-10736	323	24	qy(x	qy(x	NOUN
fumecheng-10736	323	25	)	)	PUNCT
fumecheng-10736	323	26	.	.	PUNCT
fumecheng-10736	324	1	it	it	PRON
fumecheng-10736	324	2	is	be	AUX
fumecheng-10736	324	3	noticed	notice	VERB
fumecheng-10736	324	4	that	that	SCONJ
fumecheng-10736	324	5	the	the	DET
fumecheng-10736	324	6	governing	govern	VERB
fumecheng-10736	324	7	differential	differential	ADJ
fumecheng-10736	324	8	equilibrium	equilibrium	NOUN
fumecheng-10736	324	9	equation	equation	NOUN
fumecheng-10736	324	10	of	of	ADP
fumecheng-10736	324	11	the	the	DET
fumecheng-10736	324	12	beam	beam	NOUN
fumecheng-10736	324	13	on	on	ADP
fumecheng-10736	324	14	kerr	kerr	PROPN
fumecheng-10736	324	15	-	-	PUNCT
fumecheng-10736	324	16	type	type	NOUN
fumecheng-10736	324	17	foundation	foundation	NOUN
fumecheng-10736	324	18	and	and	CCONJ
fumecheng-10736	324	19	eq	eq	NOUN
fumecheng-10736	324	20	.	.	PUNCT
fumecheng-10736	325	1	(	(	PUNCT
fumecheng-10736	325	2	36	36	NUM
fumecheng-10736	325	3	)	)	PUNCT
fumecheng-10736	325	4	are	be	AUX
fumecheng-10736	325	5	in	in	ADP
fumecheng-10736	325	6	the	the	DET
fumecheng-10736	325	7	same	same	ADJ
fumecheng-10736	325	8	form	form	NOUN
fumecheng-10736	325	9	.	.	PUNCT
fumecheng-10736	326	1	consequently	consequently	ADV
fumecheng-10736	326	2	,	,	PUNCT
fumecheng-10736	326	3	the	the	DET
fumecheng-10736	326	4	following	follow	VERB
fumecheng-10736	326	5	homogeneous	homogeneous	ADJ
fumecheng-10736	326	6	solution	solution	NOUN
fumecheng-10736	326	7	0	0	NUM
fumecheng-10736	326	8	(	(	PUNCT
fumecheng-10736	326	9	)	)	PUNCT
fumecheng-10736	326	10	hv	hv	PROPN
fumecheng-10736	326	11	x	x	PUNCT
fumecheng-10736	326	12	given	give	VERB
fumecheng-10736	326	13	by	by	ADP
fumecheng-10736	326	14	morfidis	morfidi	NOUN
fumecheng-10736	326	15	[	[	X
fumecheng-10736	326	16	74	74	NUM
fumecheng-10736	326	17	]	]	PUNCT
fumecheng-10736	326	18	and	and	CCONJ
fumecheng-10736	326	19	avramidis	avramidi	NOUN
fumecheng-10736	326	20	and	and	CCONJ
fumecheng-10736	326	21	morfidis	morfidi	NOUN
fumecheng-10736	327	1	[	[	X
fumecheng-10736	327	2	75	75	NUM
fumecheng-10736	327	3	]	]	PUNCT
fumecheng-10736	327	4	can	can	AUX
fumecheng-10736	327	5	be	be	AUX
fumecheng-10736	327	6	applied	apply	VERB
fumecheng-10736	327	7	to	to	ADP
fumecheng-10736	327	8	the	the	DET
fumecheng-10736	327	9	proposed	propose	VERB
fumecheng-10736	327	10	nanobeam	nanobeam	ADJ
fumecheng-10736	327	11	-	-	PUNCT
fumecheng-10736	327	12	substrate	substrate	NOUN
fumecheng-10736	327	13	medium	medium	NOUN
fumecheng-10736	327	14	model	model	NOUN
fumecheng-10736	327	15	.	.	PUNCT
fumecheng-10736	328	1	0	0	NUM
fumecheng-10736	329	1	1	1	NUM
fumecheng-10736	329	2	1	1	NUM
fumecheng-10736	329	3	2	2	NUM
fumecheng-10736	329	4	2	2	NUM
fumecheng-10736	329	5	3	3	NUM
fumecheng-10736	329	6	3	3	NUM
fumecheng-10736	329	7	4	4	NUM
fumecheng-10736	329	8	4	4	NUM
fumecheng-10736	329	9	5	5	NUM
fumecheng-10736	329	10	5	5	NUM
fumecheng-10736	329	11	6	6	NUM
fumecheng-10736	329	12	6	6	NUM
fumecheng-10736	329	13	(	(	PUNCT
fumecheng-10736	329	14	)	)	PUNCT
fumecheng-10736	329	15	(	(	PUNCT
fumecheng-10736	329	16	)	)	PUNCT
fumecheng-10736	329	17	(	(	PUNCT
fumecheng-10736	329	18	)	)	PUNCT
fumecheng-10736	329	19	(	(	PUNCT
fumecheng-10736	329	20	)	)	PUNCT
fumecheng-10736	329	21	(	(	PUNCT
fumecheng-10736	329	22	)	)	PUNCT
fumecheng-10736	329	23	(	(	PUNCT
fumecheng-10736	329	24	)	)	PUNCT
fumecheng-10736	329	25	(	(	PUNCT
fumecheng-10736	329	26	)	)	PUNCT
fumecheng-10736	329	27	hv	hv	PROPN
fumecheng-10736	329	28	x	x	X
fumecheng-10736	330	1	x	x	X
fumecheng-10736	330	2	c	c	NOUN
fumecheng-10736	330	3	x	x	X
fumecheng-10736	330	4	c	c	NOUN
fumecheng-10736	330	5	x	x	X
fumecheng-10736	330	6	c	c	NOUN
fumecheng-10736	330	7	x	x	X
fumecheng-10736	330	8	c	c	NOUN
fumecheng-10736	330	9	x	x	X
fumecheng-10736	330	10	c	c	NOUN
fumecheng-10736	330	11	x	x	X
fumecheng-10736	330	12	c	c	X
fumecheng-10736	330	13			ADJ
fumecheng-10736	330	14			ADJ
fumecheng-10736	330	15			ADJ
fumecheng-10736	330	16			PROPN
fumecheng-10736	330	17	=	=	PROPN
fumecheng-10736	330	18	+	+	SYM
fumecheng-10736	330	19	+	+	PUNCT
fumecheng-10736	331	1	+	+	PUNCT
fumecheng-10736	331	2	+	+	PUNCT
fumecheng-10736	331	3	+	+	CCONJ
fumecheng-10736	331	4	(	(	PUNCT
fumecheng-10736	331	5	38	38	NUM
fumecheng-10736	331	6	)	)	PUNCT
fumecheng-10736	331	7	where	where	SCONJ
fumecheng-10736	331	8	φ1(x	φ1(x	NOUN
fumecheng-10736	331	9	)	)	PUNCT
fumecheng-10736	331	10	,	,	PUNCT
fumecheng-10736	331	11	φ2(x	φ2(x	NOUN
fumecheng-10736	331	12	)	)	PUNCT
fumecheng-10736	331	13	,	,	PUNCT
fumecheng-10736	331	14	φ3(x	φ3(x	PROPN
fumecheng-10736	331	15	)	)	PUNCT
fumecheng-10736	331	16	,	,	PUNCT
fumecheng-10736	331	17	φ4(x	φ4(x	PROPN
fumecheng-10736	331	18	)	)	PUNCT
fumecheng-10736	331	19	,	,	PUNCT
fumecheng-10736	331	20	φ5(x	φ5(x	NOUN
fumecheng-10736	331	21	)	)	PUNCT
fumecheng-10736	331	22	and	and	CCONJ
fumecheng-10736	331	23	φ6(x	φ6(x	NOUN
fumecheng-10736	331	24	)	)	PUNCT
fumecheng-10736	331	25	are	be	AUX
fumecheng-10736	331	26	the	the	DET
fumecheng-10736	331	27	basic	basic	ADJ
fumecheng-10736	331	28	displacement	displacement	NOUN
fumecheng-10736	331	29	functions	function	NOUN
fumecheng-10736	331	30	expressed	express	VERB
fumecheng-10736	331	31	in	in	ADP
fumecheng-10736	331	32	appendix	appendix	NOUN
fumecheng-10736	331	33	a	a	PRON
fumecheng-10736	331	34	;	;	PUNCT
fumecheng-10736	331	35	and	and	CCONJ
fumecheng-10736	331	36	c1	c1	PROPN
fumecheng-10736	331	37	,	,	PUNCT
fumecheng-10736	331	38	c2	c2	PROPN
fumecheng-10736	331	39	,	,	PUNCT
fumecheng-10736	331	40	c3	c3	PROPN
fumecheng-10736	331	41	,	,	PUNCT
fumecheng-10736	331	42	c4	c4	NOUN
fumecheng-10736	331	43	,	,	PUNCT
fumecheng-10736	331	44	c5	c5	PROPN
fumecheng-10736	331	45	and	and	CCONJ
fumecheng-10736	331	46	c6	c6	PROPN
fumecheng-10736	331	47	are	be	AUX
fumecheng-10736	331	48	constants	constant	NOUN
fumecheng-10736	331	49	of	of	ADP
fumecheng-10736	331	50	integration	integration	NOUN
fumecheng-10736	331	51	obtained	obtain	VERB
fumecheng-10736	331	52	from	from	ADP
fumecheng-10736	331	53	imposed	impose	VERB
fumecheng-10736	331	54	boundary	boundary	ADJ
fumecheng-10736	331	55	conditions	condition	NOUN
fumecheng-10736	331	56	.	.	PUNCT
fumecheng-10736	332	1	bending	bend	VERB
fumecheng-10736	332	2	,	,	PUNCT
fumecheng-10736	332	3	buckling	buckling	NOUN
fumecheng-10736	332	4	,	,	PUNCT
fumecheng-10736	332	5	and	and	CCONJ
fumecheng-10736	332	6	free	free	ADJ
fumecheng-10736	332	7	vibration	vibration	NOUN
fumecheng-10736	332	8	analyses	analysis	NOUN
fumecheng-10736	332	9	of	of	ADP
fumecheng-10736	332	10	nanobeam	nanobeam	ADJ
fumecheng-10736	332	11	-	-	PUNCT
fumecheng-10736	332	12	substrate	substrate	NOUN
fumecheng-10736	332	13	medium	medium	NOUN
fumecheng-10736	332	14	systems	system	NOUN
fumecheng-10736	332	15	573	573	NUM
fumecheng-10736	332	16	6.4	6.4	NUM
fumecheng-10736	332	17	.	.	PUNCT
fumecheng-10736	333	1	analytical	analytical	ADJ
fumecheng-10736	333	2	solution	solution	NOUN
fumecheng-10736	333	3	for	for	ADP
fumecheng-10736	333	4	buckling	buckle	VERB
fumecheng-10736	333	5	analyses	analysis	NOUN
fumecheng-10736	333	6	to	to	PART
fumecheng-10736	333	7	determine	determine	VERB
fumecheng-10736	333	8	the	the	DET
fumecheng-10736	333	9	buckling	buckle	VERB
fumecheng-10736	333	10	load	load	NOUN
fumecheng-10736	333	11	capacity	capacity	NOUN
fumecheng-10736	333	12	of	of	ADP
fumecheng-10736	333	13	nanobeam	nanobeam	ADJ
fumecheng-10736	333	14	-	-	PUNCT
fumecheng-10736	333	15	substrate	substrate	NOUN
fumecheng-10736	333	16	medium	medium	ADJ
fumecheng-10736	333	17	systems	system	NOUN
fumecheng-10736	333	18	,	,	PUNCT
fumecheng-10736	333	19	the	the	DET
fumecheng-10736	333	20	transversely	transversely	ADV
fumecheng-10736	333	21	distributed	distribute	VERB
fumecheng-10736	333	22	load	load	NOUN
fumecheng-10736	333	23	qy(x	qy(x	NOUN
fumecheng-10736	333	24	)	)	PUNCT
fumecheng-10736	333	25	and	and	CCONJ
fumecheng-10736	333	26	the	the	DET
fumecheng-10736	333	27	inertia	inertia	NOUN
fumecheng-10736	333	28	forces	force	NOUN
fumecheng-10736	333	29	present	present	ADJ
fumecheng-10736	333	30	in	in	ADP
fumecheng-10736	333	31	eq	eq	ADP
fumecheng-10736	333	32	.	.	PUNCT
fumecheng-10736	334	1	(	(	PUNCT
fumecheng-10736	334	2	34	34	NUM
fumecheng-10736	334	3	)	)	PUNCT
fumecheng-10736	334	4	are	be	AUX
fumecheng-10736	334	5	suppressed	suppress	VERB
fumecheng-10736	334	6	.	.	PUNCT
fumecheng-10736	335	1	therefore	therefore	ADV
fumecheng-10736	335	2	,	,	PUNCT
fumecheng-10736	335	3	eq	eq	ADJ
fumecheng-10736	335	4	.	.	PUNCT
fumecheng-10736	336	1	(	(	PUNCT
fumecheng-10736	336	2	34	34	NUM
fumecheng-10736	336	3	)	)	PUNCT
fumecheng-10736	336	4	becomes	become	VERB
fumecheng-10736	336	5	:	:	PUNCT
fumecheng-10736	336	6	6	6	NUM
fumecheng-10736	336	7	4	4	NUM
fumecheng-10736	336	8	2	2	NUM
fumecheng-10736	336	9	0	0	NUM
fumecheng-10736	336	10	0	0	NUM
fumecheng-10736	336	11	0	0	NUM
fumecheng-10736	336	12	06	06	NUM
fumecheng-10736	336	13	4	4	NUM
fumecheng-10736	336	14	2	2	NUM
fumecheng-10736	336	15	(	(	PUNCT
fumecheng-10736	336	16	)	)	PUNCT
fumecheng-10736	336	17	(	(	PUNCT
fumecheng-10736	336	18	)	)	PUNCT
fumecheng-10736	336	19	(	(	PUNCT
fumecheng-10736	336	20	)	)	PUNCT
fumecheng-10736	336	21	(	(	PUNCT
fumecheng-10736	336	22	)	)	PUNCT
fumecheng-10736	336	23	(	(	PUNCT
fumecheng-10736	336	24	)	)	PUNCT
fumecheng-10736	336	25	(	(	PUNCT
fumecheng-10736	336	26	)	)	PUNCT
fumecheng-10736	336	27	(	(	PUNCT
fumecheng-10736	336	28	)	)	PUNCT
fumecheng-10736	337	1	0h	0h	PROPN
fumecheng-10736	337	2	l	l	PROPN
fumecheng-10736	338	1	sur	sur	PROPN
fumecheng-10736	338	2	eff	eff	PROPN
fumecheng-10736	338	3	eff	eff	PROPN
fumecheng-10736	338	4	res	res	PROPN
fumecheng-10736	338	5	es	es	X
fumecheng-10736	338	6	v	v	NOUN
fumecheng-10736	338	7	x	x	SYM
fumecheng-10736	338	8	v	v	PROPN
fumecheng-10736	338	9	x	x	SYM
fumecheng-10736	338	10	v	v	NOUN
fumecheng-10736	338	11	x	x	X
fumecheng-10736	338	12	ei	ei	ADP
fumecheng-10736	338	13	ei	ei	X
fumecheng-10736	338	14	s	s	X
fumecheng-10736	338	15	p	p	X
fumecheng-10736	338	16	k	k	PROPN
fumecheng-10736	338	17	v	v	NOUN
fumecheng-10736	338	18	x	x	SYM
fumecheng-10736	338	19	x	x	PUNCT
fumecheng-10736	338	20	x	x	SYM
fumecheng-10736	338	21	x	x	X
fumecheng-10736	338	22			NOUN
fumecheng-10736	338	23			VERB
fumecheng-10736	338	24			ADJ
fumecheng-10736	338	25			ADJ
fumecheng-10736	338	26			PROPN
fumecheng-10736	338	27	−	−	PROPN
fumecheng-10736	339	1	+	+	CCONJ
fumecheng-10736	339	2	−	−	PROPN
fumecheng-10736	339	3	−	−	PROPN
fumecheng-10736	340	1	+	+	CCONJ
fumecheng-10736	340	2	=	=	NOUN
fumecheng-10736	340	3			ADJ
fumecheng-10736	340	4			ADJ
fumecheng-10736	340	5			NOUN
fumecheng-10736	340	6	(	(	PUNCT
fumecheng-10736	340	7	39	39	NUM
fumecheng-10736	340	8	)	)	PUNCT
fumecheng-10736	340	9	for	for	ADP
fumecheng-10736	340	10	the	the	DET
fumecheng-10736	340	11	sake	sake	NOUN
fumecheng-10736	340	12	of	of	ADP
fumecheng-10736	340	13	conciseness	conciseness	NOUN
fumecheng-10736	340	14	,	,	PUNCT
fumecheng-10736	340	15	only	only	ADV
fumecheng-10736	340	16	the	the	DET
fumecheng-10736	340	17	simply	simply	ADV
fumecheng-10736	340	18	-	-	PUNCT
fumecheng-10736	340	19	supported	support	VERB
fumecheng-10736	340	20	nanobeam	nanobeam	ADJ
fumecheng-10736	340	21	-	-	PUNCT
fumecheng-10736	340	22	substrate	substrate	NOUN
fumecheng-10736	340	23	medium	medium	NOUN
fumecheng-10736	340	24	system	system	NOUN
fumecheng-10736	340	25	is	be	AUX
fumecheng-10736	340	26	considered	consider	VERB
fumecheng-10736	340	27	.	.	PUNCT
fumecheng-10736	341	1	the	the	DET
fumecheng-10736	341	2	associated	associated	ADJ
fumecheng-10736	341	3	classical	classical	ADJ
fumecheng-10736	341	4	boundary	boundary	ADJ
fumecheng-10736	341	5	conditions	condition	NOUN
fumecheng-10736	341	6	are	be	AUX
fumecheng-10736	341	7	defined	define	VERB
fumecheng-10736	341	8	as	as	ADP
fumecheng-10736	341	9	:	:	PUNCT
fumecheng-10736	341	10	0	0	NUM
fumecheng-10736	341	11	0	0	NUM
fumecheng-10736	341	12	(	(	PUNCT
fumecheng-10736	341	13	)	)	PUNCT
fumecheng-10736	341	14	0	0	NUM
fumecheng-10736	341	15	x	x	SYM
fumecheng-10736	341	16	v	v	NOUN
fumecheng-10736	341	17	x	x	X
fumecheng-10736	341	18	=	=	PUNCT
fumecheng-10736	342	1	=	=	NOUN
fumecheng-10736	342	2	and	and	CCONJ
fumecheng-10736	342	3	0	0	NUM
fumecheng-10736	342	4	(	(	PUNCT
fumecheng-10736	342	5	)	)	PUNCT
fumecheng-10736	342	6	0	0	NUM
fumecheng-10736	343	1	x	x	SYM
fumecheng-10736	343	2	l	l	NOUN
fumecheng-10736	343	3	v	v	NOUN
fumecheng-10736	343	4	x	x	X
fumecheng-10736	343	5	=	=	SYM
fumecheng-10736	343	6	=	=	SYM
fumecheng-10736	343	7	(	(	PUNCT
fumecheng-10736	343	8	40	40	NUM
fumecheng-10736	343	9	)	)	PUNCT
fumecheng-10736	343	10	4	4	NUM
fumecheng-10736	343	11	2	2	NUM
fumecheng-10736	343	12	0	0	NUM
fumecheng-10736	343	13	0	0	NUM
fumecheng-10736	343	14	4	4	NUM
fumecheng-10736	343	15	2	2	NUM
fumecheng-10736	343	16	0	0	NUM
fumecheng-10736	343	17	4	4	NUM
fumecheng-10736	343	18	2	2	NUM
fumecheng-10736	343	19	0	0	NUM
fumecheng-10736	343	20	0	0	NUM
fumecheng-10736	343	21	4	4	NUM
fumecheng-10736	343	22	2	2	NUM
fumecheng-10736	343	23	(	(	PUNCT
fumecheng-10736	343	24	)	)	PUNCT
fumecheng-10736	343	25	(	(	PUNCT
fumecheng-10736	343	26	)	)	PUNCT
fumecheng-10736	343	27	(	(	PUNCT
fumecheng-10736	343	28	)	)	PUNCT
fumecheng-10736	343	29	(	(	PUNCT
fumecheng-10736	343	30	)	)	PUNCT
fumecheng-10736	343	31	(	(	PUNCT
fumecheng-10736	343	32	)	)	PUNCT
fumecheng-10736	343	33	0	0	PUNCT
fumecheng-10736	344	1	and	and	CCONJ
fumecheng-10736	344	2	(	(	PUNCT
fumecheng-10736	344	3	)	)	PUNCT
fumecheng-10736	344	4	(	(	PUNCT
fumecheng-10736	344	5	)	)	PUNCT
fumecheng-10736	345	1	(	(	PUNCT
fumecheng-10736	345	2	)	)	PUNCT
fumecheng-10736	345	3	(	(	PUNCT
fumecheng-10736	345	4	)	)	PUNCT
fumecheng-10736	345	5	(	(	PUNCT
fumecheng-10736	345	6	)	)	PUNCT
fumecheng-10736	345	7	0	0	NUM
fumecheng-10736	346	1	h	h	NOUN
fumecheng-10736	346	2	l	l	NOUN
fumecheng-10736	346	3	eff	eff	PROPN
fumecheng-10736	346	4	eff	eff	PROPN
fumecheng-10736	347	1	x	x	PROPN
fumecheng-10736	347	2	h	h	NOUN
fumecheng-10736	347	3	l	l	NOUN
fumecheng-10736	347	4	eff	eff	PROPN
fumecheng-10736	347	5	eff	eff	PROPN
fumecheng-10736	347	6	x	x	PROPN
fumecheng-10736	347	7	l	l	NOUN
fumecheng-10736	347	8	v	v	NOUN
fumecheng-10736	347	9	x	x	SYM
fumecheng-10736	347	10	v	v	NOUN
fumecheng-10736	347	11	x	x	NOUN
fumecheng-10736	347	12	m	m	VERB
fumecheng-10736	347	13	x	x	VERB
fumecheng-10736	347	14	ei	ei	X
fumecheng-10736	347	15	ei	ei	NOUN
fumecheng-10736	347	16	x	x	PUNCT
fumecheng-10736	347	17	x	x	SYM
fumecheng-10736	347	18	v	v	X
fumecheng-10736	347	19	x	x	SYM
fumecheng-10736	347	20	v	v	NOUN
fumecheng-10736	347	21	x	x	NOUN
fumecheng-10736	347	22	m	m	VERB
fumecheng-10736	347	23	x	x	VERB
fumecheng-10736	347	24	ei	ei	X
fumecheng-10736	347	25	ei	ei	NOUN
fumecheng-10736	347	26	x	x	PUNCT
fumecheng-10736	347	27	x	x	SYM
fumecheng-10736	347	28	=	=	SYM
fumecheng-10736	347	29	=	=	SYM
fumecheng-10736	347	30			PROPN
fumecheng-10736	347	31			ADJ
fumecheng-10736	347	32			NOUN
fumecheng-10736	347	33	=	=	PUNCT
fumecheng-10736	347	34	−	−	PROPN
fumecheng-10736	348	1	+	+	NUM
fumecheng-10736	348	2	=	=	ADJ
fumecheng-10736	348	3			NOUN
fumecheng-10736	348	4			ADJ
fumecheng-10736	348	5			PROPN
fumecheng-10736	348	6			ADP
fumecheng-10736	348	7			PROPN
fumecheng-10736	348	8			PROPN
fumecheng-10736	348	9			ADJ
fumecheng-10736	348	10			NOUN
fumecheng-10736	348	11	=	=	PUNCT
fumecheng-10736	348	12	−	−	PROPN
fumecheng-10736	349	1	+	+	NUM
fumecheng-10736	349	2	=	=	ADJ
fumecheng-10736	349	3			NOUN
fumecheng-10736	349	4			NOUN
fumecheng-10736	349	5			PROPN
fumecheng-10736	349	6			PROPN
fumecheng-10736	349	7			PROPN
fumecheng-10736	349	8	(	(	PUNCT
fumecheng-10736	349	9	41	41	NUM
fumecheng-10736	349	10	)	)	PUNCT
fumecheng-10736	349	11	as	as	SCONJ
fumecheng-10736	349	12	suggested	suggest	VERB
fumecheng-10736	349	13	by	by	ADP
fumecheng-10736	349	14	zhang	zhang	PROPN
fumecheng-10736	349	15	and	and	CCONJ
fumecheng-10736	349	16	gao	gao	PROPN
fumecheng-10736	349	17	[	[	X
fumecheng-10736	349	18	30	30	NUM
fumecheng-10736	349	19	]	]	PUNCT
fumecheng-10736	349	20	,	,	PUNCT
fumecheng-10736	349	21	the	the	DET
fumecheng-10736	349	22	non	non	ADJ
fumecheng-10736	349	23	-	-	ADJ
fumecheng-10736	349	24	classical	classical	ADJ
fumecheng-10736	349	25	boundary	boundary	ADJ
fumecheng-10736	349	26	conditions	condition	NOUN
fumecheng-10736	349	27	associated	associate	VERB
fumecheng-10736	349	28	with	with	ADP
fumecheng-10736	349	29	the	the	DET
fumecheng-10736	349	30	simply	simply	ADV
fumecheng-10736	349	31	-	-	PUNCT
fumecheng-10736	349	32	supported	support	VERB
fumecheng-10736	349	33	nanobeam	nanobeam	ADJ
fumecheng-10736	349	34	-	-	PUNCT
fumecheng-10736	349	35	substrate	substrate	NOUN
fumecheng-10736	349	36	medium	medium	NOUN
fumecheng-10736	349	37	system	system	NOUN
fumecheng-10736	349	38	are	be	AUX
fumecheng-10736	349	39	:	:	PUNCT
fumecheng-10736	349	40	2	2	NUM
fumecheng-10736	349	41	0	0	NUM
fumecheng-10736	349	42	2	2	NUM
fumecheng-10736	349	43	0	0	NUM
fumecheng-10736	349	44	(	(	PUNCT
fumecheng-10736	349	45	)	)	PUNCT
fumecheng-10736	349	46	(	(	PUNCT
fumecheng-10736	349	47	)	)	PUNCT
fumecheng-10736	349	48	0	0	NUM
fumecheng-10736	350	1	x	x	SYM
fumecheng-10736	350	2	v	v	NOUN
fumecheng-10736	350	3	x	x	SYM
fumecheng-10736	350	4	x	x	X
fumecheng-10736	350	5	x	x	X
fumecheng-10736	350	6			VERB
fumecheng-10736	350	7	=	=	NOUN
fumecheng-10736	350	8			ADJ
fumecheng-10736	350	9	=	=	SYM
fumecheng-10736	350	10	=	=	NOUN
fumecheng-10736	350	11			ADJ
fumecheng-10736	350	12	and	and	CCONJ
fumecheng-10736	350	13	2	2	NUM
fumecheng-10736	350	14	0	0	NUM
fumecheng-10736	350	15	2	2	NUM
fumecheng-10736	350	16	(	(	PUNCT
fumecheng-10736	350	17	)	)	PUNCT
fumecheng-10736	350	18	(	(	PUNCT
fumecheng-10736	350	19	)	)	PUNCT
fumecheng-10736	350	20	0	0	NUM
fumecheng-10736	351	1	x	x	SYM
fumecheng-10736	351	2	l	l	NOUN
fumecheng-10736	351	3	v	v	NOUN
fumecheng-10736	351	4	x	x	X
fumecheng-10736	351	5	x	x	X
fumecheng-10736	351	6	x	x	X
fumecheng-10736	351	7			VERB
fumecheng-10736	351	8	=	=	NOUN
fumecheng-10736	351	9			ADJ
fumecheng-10736	351	10	=	=	SYM
fumecheng-10736	351	11	=	=	SYM
fumecheng-10736	351	12			ADJ
fumecheng-10736	351	13	(	(	PUNCT
fumecheng-10736	351	14	42	42	NUM
fumecheng-10736	351	15	)	)	PUNCT
fumecheng-10736	351	16	the	the	DET
fumecheng-10736	351	17	following	follow	VERB
fumecheng-10736	351	18	analytical	analytical	ADJ
fumecheng-10736	351	19	displacement	displacement	ADJ
fumecheng-10736	351	20	solution	solution	NOUN
fumecheng-10736	351	21	for	for	ADP
fumecheng-10736	351	22	the	the	DET
fumecheng-10736	351	23	critical	critical	ADJ
fumecheng-10736	351	24	(	(	PUNCT
fumecheng-10736	351	25	lowest	low	ADJ
fumecheng-10736	351	26	)	)	PUNCT
fumecheng-10736	351	27	buckling	buckle	VERB
fumecheng-10736	351	28	load	load	NOUN
fumecheng-10736	351	29	is	be	AUX
fumecheng-10736	351	30	provided	provide	VERB
fumecheng-10736	351	31	by	by	ADP
fumecheng-10736	351	32	sae	sae	NOUN
fumecheng-10736	351	33	-	-	PROPN
fumecheng-10736	351	34	long	long	ADJ
fumecheng-10736	351	35	et	et	PROPN
fumecheng-10736	351	36	al	al	PROPN
fumecheng-10736	351	37	.	.	PUNCT
fumecheng-10736	352	1	[	[	X
fumecheng-10736	352	2	38	38	NUM
fumecheng-10736	352	3	]	]	PUNCT
fumecheng-10736	352	4	as	as	ADP
fumecheng-10736	352	5	:	:	SYM
fumecheng-10736	352	6	0	0	NUM
fumecheng-10736	352	7	(	(	PUNCT
fumecheng-10736	352	8	)	)	PUNCT
fumecheng-10736	352	9	sin	sin	NOUN
fumecheng-10736	352	10	(	(	PUNCT
fumecheng-10736	352	11	)	)	PUNCT
fumecheng-10736	352	12	v	v	NOUN
fumecheng-10736	352	13	x	x	SYM
fumecheng-10736	352	14	a	a	DET
fumecheng-10736	352	15	x=	x=	PROPN
fumecheng-10736	352	16	(	(	PUNCT
fumecheng-10736	352	17	43	43	NUM
fumecheng-10736	352	18	)	)	PUNCT
fumecheng-10736	352	19	where	where	SCONJ
fumecheng-10736	352	20	a	a	PRON
fumecheng-10736	352	21	is	be	AUX
fumecheng-10736	352	22	the	the	DET
fumecheng-10736	352	23	generalized	generalized	ADJ
fumecheng-10736	352	24	coordinate	coordinate	NOUN
fumecheng-10736	352	25	and	and	CCONJ
fumecheng-10736	352	26	ψ	ψ	X
fumecheng-10736	352	27	=	=	SYM
fumecheng-10736	352	28	π	π	PROPN
fumecheng-10736	352	29	/	/	SYM
fumecheng-10736	352	30	l.	l.	PROPN
fumecheng-10736	352	31	substituting	substituting	NOUN
fumecheng-10736	352	32	eq	eq	PROPN
fumecheng-10736	352	33	.	.	PUNCT
fumecheng-10736	353	1	(	(	PUNCT
fumecheng-10736	353	2	43	43	NUM
fumecheng-10736	353	3	)	)	PUNCT
fumecheng-10736	353	4	into	into	ADP
fumecheng-10736	353	5	eq	eq	NOUN
fumecheng-10736	353	6	.	.	PUNCT
fumecheng-10736	354	1	(	(	PUNCT
fumecheng-10736	354	2	39	39	NUM
fumecheng-10736	354	3	)	)	PUNCT
fumecheng-10736	354	4	and	and	CCONJ
fumecheng-10736	354	5	subsequently	subsequently	ADV
fumecheng-10736	354	6	enforcing	enforce	VERB
fumecheng-10736	354	7	the	the	DET
fumecheng-10736	354	8	non	non	ADJ
fumecheng-10736	354	9	-	-	ADJ
fumecheng-10736	354	10	trivial	trivial	ADJ
fumecheng-10736	354	11	condition	condition	NOUN
fumecheng-10736	354	12	,	,	PUNCT
fumecheng-10736	354	13	the	the	DET
fumecheng-10736	354	14	critical	critical	ADJ
fumecheng-10736	354	15	buckling	buckling	NOUN
fumecheng-10736	354	16	load	load	NOUN
fumecheng-10736	354	17	proposed	propose	VERB
fumecheng-10736	354	18	crp	crp	PROPN
fumecheng-10736	354	19	can	can	AUX
fumecheng-10736	354	20	be	be	AUX
fumecheng-10736	354	21	gained	gain	VERB
fumecheng-10736	354	22	as	as	ADP
fumecheng-10736	354	23	:	:	PUNCT
fumecheng-10736	354	24	6	6	NUM
fumecheng-10736	354	25	4	4	NUM
fumecheng-10736	354	26	2	2	NUM
fumecheng-10736	354	27	2	2	NUM
fumecheng-10736	354	28	(	(	PUNCT
fumecheng-10736	354	29	)	)	PUNCT
fumecheng-10736	354	30	(	(	PUNCT
fumecheng-10736	354	31	)	)	PUNCT
fumecheng-10736	355	1	h	h	SYM
fumecheng-10736	355	2	l	l	NOUN
fumecheng-10736	355	3	sur	sur	PROPN
fumecheng-10736	355	4	eff	eff	PROPN
fumecheng-10736	355	5	eff	eff	PROPN
fumecheng-10736	355	6	res	res	PROPN
fumecheng-10736	355	7	esproposed	espropose	VERB
fumecheng-10736	355	8	cr	cr	NOUN
fumecheng-10736	355	9	ei	ei	ADP
fumecheng-10736	355	10	ei	ei	X
fumecheng-10736	355	11	s	s	X
fumecheng-10736	355	12	k	k	X
fumecheng-10736	355	13	p	p	X
fumecheng-10736	356	1			NOUN
fumecheng-10736	356	2			NOUN
fumecheng-10736	356	3			NOUN
fumecheng-10736	356	4			NOUN
fumecheng-10736	356	5			NOUN
fumecheng-10736	356	6	+	+	PROPN
fumecheng-10736	356	7	+	+	SYM
fumecheng-10736	356	8	=	=	SYM
fumecheng-10736	357	1	+	+	CCONJ
fumecheng-10736	357	2	(	(	PUNCT
fumecheng-10736	357	3	44	44	NUM
fumecheng-10736	357	4	)	)	PUNCT
fumecheng-10736	357	5	it	it	PRON
fumecheng-10736	357	6	is	be	AUX
fumecheng-10736	357	7	worth	worth	ADJ
fumecheng-10736	357	8	mentioning	mention	VERB
fumecheng-10736	357	9	that	that	PRON
fumecheng-10736	357	10	eq	eq	ADP
fumecheng-10736	357	11	.	.	PUNCT
fumecheng-10736	358	1	(	(	PUNCT
fumecheng-10736	358	2	44	44	NUM
fumecheng-10736	358	3	)	)	PUNCT
fumecheng-10736	358	4	can	can	AUX
fumecheng-10736	358	5	provide	provide	VERB
fumecheng-10736	358	6	the	the	DET
fumecheng-10736	358	7	critical	critical	ADJ
fumecheng-10736	358	8	buckling	buckling	NOUN
fumecheng-10736	358	9	load	load	NOUN
fumecheng-10736	358	10	obtained	obtain	VERB
fumecheng-10736	358	11	with	with	ADP
fumecheng-10736	358	12	either	either	CCONJ
fumecheng-10736	358	13	the	the	DET
fumecheng-10736	358	14	degenerated	degenerated	ADJ
fumecheng-10736	358	15	strain	strain	NOUN
fumecheng-10736	358	16	-	-	PUNCT
fumecheng-10736	358	17	gradient	gradient	NOUN
fumecheng-10736	358	18	model	model	NOUN
fumecheng-10736	358	19	or	or	CCONJ
fumecheng-10736	358	20	the	the	DET
fumecheng-10736	358	21	modified	modify	VERB
fumecheng-10736	358	22	couple	couple	NOUN
fumecheng-10736	358	23	-	-	PUNCT
fumecheng-10736	358	24	stress	stress	NOUN
fumecheng-10736	358	25	model	model	NOUN
fumecheng-10736	358	26	when	when	SCONJ
fumecheng-10736	358	27	the	the	DET
fumecheng-10736	358	28	associated	associated	ADJ
fumecheng-10736	358	29	material	material	NOUN
fumecheng-10736	358	30	length	length	NOUN
fumecheng-10736	358	31	-	-	PUNCT
fumecheng-10736	358	32	scale	scale	NOUN
fumecheng-10736	358	33	parameter	parameter	NOUN
fumecheng-10736	358	34	vanishes	vanish	VERB
fumecheng-10736	358	35	(	(	PUNCT
fumecheng-10736	358	36	lm	lm	INTJ
fumecheng-10736	358	37	=	=	SYM
fumecheng-10736	358	38	0	0	NUM
fumecheng-10736	358	39	or	or	CCONJ
fumecheng-10736	358	40	ls	ls	ADJ
fumecheng-10736	358	41	=	=	NOUN
fumecheng-10736	358	42	0	0	NUM
fumecheng-10736	358	43	)	)	PUNCT
fumecheng-10736	358	44	.	.	PUNCT
fumecheng-10736	359	1	furthermore	furthermore	ADV
fumecheng-10736	359	2	,	,	PUNCT
fumecheng-10736	359	3	the	the	DET
fumecheng-10736	359	4	classical	classical	ADJ
fumecheng-10736	359	5	euler	euler	NOUN
fumecheng-10736	359	6	’s	’s	PART
fumecheng-10736	359	7	buckling	buckling	NOUN
fumecheng-10736	359	8	load	load	NOUN
fumecheng-10736	359	9	of	of	ADP
fumecheng-10736	359	10	the	the	DET
fumecheng-10736	359	11	beam	beam	NOUN
fumecheng-10736	359	12	-	-	PUNCT
fumecheng-10736	359	13	winkler	winkler	NOUN
fumecheng-10736	359	14	foundation	foundation	NOUN
fumecheng-10736	359	15	system	system	NOUN
fumecheng-10736	359	16	can	can	AUX
fumecheng-10736	359	17	be	be	AUX
fumecheng-10736	359	18	determined	determine	VERB
fumecheng-10736	359	19	from	from	ADP
fumecheng-10736	359	20	eq	eq	PROPN
fumecheng-10736	359	21	.	.	PUNCT
fumecheng-10736	360	1	(	(	PUNCT
fumecheng-10736	360	2	44	44	NUM
fumecheng-10736	360	3	)	)	PUNCT
fumecheng-10736	360	4	when	when	SCONJ
fumecheng-10736	360	5	the	the	DET
fumecheng-10736	360	6	material	material	NOUN
fumecheng-10736	360	7	length	length	NOUN
fumecheng-10736	360	8	-	-	PUNCT
fumecheng-10736	360	9	scale	scale	NOUN
fumecheng-10736	360	10	parameters	parameter	NOUN
fumecheng-10736	360	11	(	(	PUNCT
fumecheng-10736	360	12	ls	ls	ADJ
fumecheng-10736	360	13	and	and	CCONJ
fumecheng-10736	360	14	lm	lm	NUM
fumecheng-10736	360	15	)	)	PUNCT
fumecheng-10736	360	16	and	and	CCONJ
fumecheng-10736	360	17	the	the	DET
fumecheng-10736	360	18	surface	surface	NOUN
fumecheng-10736	360	19	-	-	PUNCT
fumecheng-10736	360	20	layer	layer	NOUN
fumecheng-10736	360	21	parameters	parameter	NOUN
fumecheng-10736	360	22	(	(	PUNCT
fumecheng-10736	360	23	sur	sur	PROPN
fumecheng-10736	360	24	xxe	xxe	PROPN
fumecheng-10736	360	25	and	and	CCONJ
fumecheng-10736	360	26	sur	sur	PROPN
fumecheng-10736	360	27	res	res	PROPN
fumecheng-10736	360	28	)	)	PUNCT
fumecheng-10736	360	29	vanish	vanish	VERB
fumecheng-10736	360	30	.	.	PUNCT
fumecheng-10736	361	1	574	574	NUM
fumecheng-10736	361	2	s.	s.	PROPN
fumecheng-10736	361	3	limkatanyu	limkatanyu	PROPN
fumecheng-10736	361	4	,	,	PUNCT
fumecheng-10736	361	5	w.	w.	PROPN
fumecheng-10736	361	6	sae	sae	PROPN
fumecheng-10736	361	7	-	-	PROPN
fumecheng-10736	361	8	long	long	ADV
fumecheng-10736	361	9	,	,	PUNCT
fumecheng-10736	361	10	j.	j.	PROPN
fumecheng-10736	361	11	rungamornrat	rungamornrat	PROPN
fumecheng-10736	361	12	,	,	PUNCT
fumecheng-10736	361	13	et	et	PROPN
fumecheng-10736	361	14	al	al	PROPN
fumecheng-10736	361	15	.	.	PROPN
fumecheng-10736	361	16	6.5	6.5	NUM
fumecheng-10736	361	17	.	.	PUNCT
fumecheng-10736	361	18	analytical	analytical	ADJ
fumecheng-10736	361	19	solution	solution	NOUN
fumecheng-10736	361	20	for	for	ADP
fumecheng-10736	361	21	free	free	ADJ
fumecheng-10736	361	22	-	-	PUNCT
fumecheng-10736	361	23	vibration	vibration	NOUN
fumecheng-10736	361	24	analyses	analysis	NOUN
fumecheng-10736	361	25	when	when	SCONJ
fumecheng-10736	361	26	the	the	DET
fumecheng-10736	361	27	free	free	ADJ
fumecheng-10736	361	28	vibration	vibration	NOUN
fumecheng-10736	361	29	response	response	NOUN
fumecheng-10736	361	30	of	of	ADP
fumecheng-10736	361	31	nanobeam	nanobeam	ADJ
fumecheng-10736	361	32	-	-	PUNCT
fumecheng-10736	361	33	substrate	substrate	NOUN
fumecheng-10736	361	34	medium	medium	NOUN
fumecheng-10736	361	35	systems	system	NOUN
fumecheng-10736	361	36	is	be	AUX
fumecheng-10736	361	37	of	of	ADP
fumecheng-10736	361	38	interest	interest	NOUN
fumecheng-10736	361	39	,	,	PUNCT
fumecheng-10736	361	40	the	the	DET
fumecheng-10736	361	41	transversely	transversely	ADV
fumecheng-10736	361	42	distributed	distribute	VERB
fumecheng-10736	361	43	load	load	NOUN
fumecheng-10736	361	44	qy(x	qy(x	PROPN
fumecheng-10736	361	45	,	,	PUNCT
fumecheng-10736	361	46	t	t	PROPN
fumecheng-10736	361	47	)	)	PUNCT
fumecheng-10736	361	48	and	and	CCONJ
fumecheng-10736	361	49	the	the	DET
fumecheng-10736	361	50	applied	apply	VERB
fumecheng-10736	361	51	axial	axial	ADJ
fumecheng-10736	361	52	force	force	NOUN
fumecheng-10736	361	53	p	p	NOUN
fumecheng-10736	361	54	present	present	NOUN
fumecheng-10736	361	55	in	in	ADP
fumecheng-10736	361	56	eq	eq	ADP
fumecheng-10736	361	57	.	.	PUNCT
fumecheng-10736	361	58	(	(	PUNCT
fumecheng-10736	361	59	34	34	NUM
fumecheng-10736	361	60	)	)	PUNCT
fumecheng-10736	361	61	are	be	AUX
fumecheng-10736	361	62	suppressed	suppress	VERB
fumecheng-10736	361	63	.	.	PUNCT
fumecheng-10736	362	1	therefore	therefore	ADV
fumecheng-10736	362	2	,	,	PUNCT
fumecheng-10736	362	3	the	the	DET
fumecheng-10736	362	4	governing	govern	VERB
fumecheng-10736	362	5	differential	differential	ADJ
fumecheng-10736	362	6	equation	equation	NOUN
fumecheng-10736	362	7	of	of	ADP
fumecheng-10736	362	8	motion	motion	NOUN
fumecheng-10736	362	9	becomes	become	VERB
fumecheng-10736	362	10	:	:	PUNCT
fumecheng-10736	362	11	6	6	NUM
fumecheng-10736	362	12	4	4	NUM
fumecheng-10736	362	13	2	2	NUM
fumecheng-10736	362	14	0	0	NUM
fumecheng-10736	362	15	0	0	NUM
fumecheng-10736	362	16	0	0	NUM
fumecheng-10736	362	17	06	06	NUM
fumecheng-10736	362	18	4	4	NUM
fumecheng-10736	362	19	2	2	NUM
fumecheng-10736	362	20	2	2	NUM
fumecheng-10736	362	21	4	4	NUM
fumecheng-10736	362	22	6	6	NUM
fumecheng-10736	362	23	4	4	NUM
fumecheng-10736	362	24	2	2	NUM
fumecheng-10736	362	25	20	20	NUM
fumecheng-10736	362	26	0	0	NUM
fumecheng-10736	362	27	0	0	NUM
fumecheng-10736	362	28	0	0	NUM
fumecheng-10736	362	29	2	2	NUM
fumecheng-10736	362	30	2	2	NUM
fumecheng-10736	362	31	2	2	NUM
fumecheng-10736	362	32	4	4	NUM
fumecheng-10736	362	33	2	2	NUM
fumecheng-10736	362	34	2	2	NUM
fumecheng-10736	362	35	2	2	NUM
fumecheng-10736	362	36	(	(	PUNCT
fumecheng-10736	362	37	,	,	PUNCT
fumecheng-10736	362	38	)	)	PUNCT
fumecheng-10736	362	39	(	(	PUNCT
fumecheng-10736	362	40	,	,	PUNCT
fumecheng-10736	362	41	)	)	PUNCT
fumecheng-10736	362	42	(	(	PUNCT
fumecheng-10736	362	43	,	,	PUNCT
fumecheng-10736	362	44	)	)	PUNCT
fumecheng-10736	362	45	(	(	PUNCT
fumecheng-10736	362	46	)	)	PUNCT
fumecheng-10736	362	47	(	(	PUNCT
fumecheng-10736	362	48	)	)	PUNCT
fumecheng-10736	362	49	(	(	PUNCT
fumecheng-10736	362	50	,	,	PUNCT
fumecheng-10736	362	51	)	)	PUNCT
fumecheng-10736	362	52	(	(	PUNCT
fumecheng-10736	362	53	,	,	PUNCT
fumecheng-10736	362	54	)	)	PUNCT
fumecheng-10736	362	55	(	(	PUNCT
fumecheng-10736	362	56	,	,	PUNCT
fumecheng-10736	362	57	)	)	PUNCT
fumecheng-10736	362	58	(	(	PUNCT
fumecheng-10736	362	59	,	,	PUNCT
fumecheng-10736	362	60	)	)	PUNCT
fumecheng-10736	362	61	(	(	PUNCT
fumecheng-10736	362	62	,	,	PUNCT
fumecheng-10736	362	63	)	)	PUNCT
fumecheng-10736	362	64	2	2	NUM
fumecheng-10736	362	65	h	h	NOUN
fumecheng-10736	362	66	l	l	NOUN
fumecheng-10736	362	67	sur	sur	PROPN
fumecheng-10736	362	68	eff	eff	PROPN
fumecheng-10736	362	69	eff	eff	PROPN
fumecheng-10736	362	70	res	res	PROPN
fumecheng-10736	362	71	es	es	X
fumecheng-10736	362	72	v	v	ADP
fumecheng-10736	362	73	v	v	NOUN
fumecheng-10736	362	74	v	v	NOUN
fumecheng-10736	362	75	x	x	SYM
fumecheng-10736	362	76	t	t	NOUN
fumecheng-10736	362	77	v	v	NUM
fumecheng-10736	362	78	x	x	SYM
fumecheng-10736	362	79	t	t	PROPN
fumecheng-10736	362	80	v	v	NOUN
fumecheng-10736	362	81	x	x	SYM
fumecheng-10736	362	82	t	t	NOUN
fumecheng-10736	362	83	ei	ei	X
fumecheng-10736	362	84	ei	ei	X
fumecheng-10736	362	85	s	s	PROPN
fumecheng-10736	362	86	k	k	X
fumecheng-10736	362	87	v	v	PROPN
fumecheng-10736	362	88	x	x	SYM
fumecheng-10736	362	89	t	t	NOUN
fumecheng-10736	362	90	x	x	NOUN
fumecheng-10736	362	91	x	x	PUNCT
fumecheng-10736	362	92	x	x	SYM
fumecheng-10736	362	93	v	v	NUM
fumecheng-10736	362	94	x	x	SYM
fumecheng-10736	362	95	t	t	NOUN
fumecheng-10736	362	96	v	v	NOUN
fumecheng-10736	362	97	x	x	SYM
fumecheng-10736	362	98	t	t	PROPN
fumecheng-10736	362	99	v	v	NUM
fumecheng-10736	362	100	x	x	SYM
fumecheng-10736	362	101	t	t	PROPN
fumecheng-10736	362	102	v	v	NOUN
fumecheng-10736	362	103	x	x	SYM
fumecheng-10736	362	104	t	t	PROPN
fumecheng-10736	362	105	a	a	DET
fumecheng-10736	362	106	l	l	NOUN
fumecheng-10736	363	1	i	i	NOUN
fumecheng-10736	363	2	l	l	NOUN
fumecheng-10736	364	1	t	t	NOUN
fumecheng-10736	364	2	x	x	SYM
fumecheng-10736	364	3	t	t	NOUN
fumecheng-10736	364	4	x	x	SYM
fumecheng-10736	364	5	t	t	PROPN
fumecheng-10736	364	6	x	x	SYM
fumecheng-10736	364	7	t	t	PROPN
fumecheng-10736	364	8			PROPN
fumecheng-10736	364	9			ADV
fumecheng-10736	364	10			ADP
fumecheng-10736	364	11			VERB
fumecheng-10736	364	12			ADJ
fumecheng-10736	364	13			ADJ
fumecheng-10736	364	14			PROPN
fumecheng-10736	364	15	−	−	PROPN
fumecheng-10736	365	1	+	+	CCONJ
fumecheng-10736	365	2	−	−	PROPN
fumecheng-10736	365	3			ADJ
fumecheng-10736	365	4			ADJ
fumecheng-10736	365	5			PROPN
fumecheng-10736	365	6			NOUN
fumecheng-10736	365	7			PROPN
fumecheng-10736	365	8			NOUN
fumecheng-10736	365	9			PROPN
fumecheng-10736	365	10			ADJ
fumecheng-10736	365	11			ADJ
fumecheng-10736	365	12			PROPN
fumecheng-10736	365	13	=	=	SYM
fumecheng-10736	365	14	−	−	PROPN
fumecheng-10736	365	15	+	+	CCONJ
fumecheng-10736	365	16	−	−	PROPN
fumecheng-10736	365	17			PROPN
fumecheng-10736	366	1			PROPN
fumecheng-10736	367	1			PROPN
fumecheng-10736	367	2			ADJ
fumecheng-10736	367	3			ADJ
fumecheng-10736	367	4			ADJ
fumecheng-10736	367	5			ADJ
fumecheng-10736	367	6			PROPN
fumecheng-10736	367	7			PROPN
fumecheng-10736	367	8			ADJ
fumecheng-10736	367	9			NOUN
fumecheng-10736	367	10			PROPN
fumecheng-10736	367	11			NOUN
fumecheng-10736	367	12	(	(	PUNCT
fumecheng-10736	367	13	45	45	NUM
fumecheng-10736	367	14	)	)	PUNCT
fumecheng-10736	367	15	for	for	ADP
fumecheng-10736	367	16	the	the	DET
fumecheng-10736	367	17	sake	sake	NOUN
fumecheng-10736	367	18	of	of	ADP
fumecheng-10736	367	19	simplicity	simplicity	NOUN
fumecheng-10736	367	20	,	,	PUNCT
fumecheng-10736	367	21	only	only	ADV
fumecheng-10736	367	22	the	the	DET
fumecheng-10736	367	23	simply	simply	ADV
fumecheng-10736	367	24	-	-	PUNCT
fumecheng-10736	367	25	supported	support	VERB
fumecheng-10736	367	26	nanobeam	nanobeam	ADJ
fumecheng-10736	367	27	-	-	PUNCT
fumecheng-10736	367	28	substrate	substrate	NOUN
fumecheng-10736	367	29	medium	medium	NOUN
fumecheng-10736	367	30	system	system	NOUN
fumecheng-10736	367	31	is	be	AUX
fumecheng-10736	367	32	considered	consider	VERB
fumecheng-10736	367	33	in	in	ADP
fumecheng-10736	367	34	the	the	DET
fumecheng-10736	367	35	present	present	ADJ
fumecheng-10736	367	36	study	study	NOUN
fumecheng-10736	367	37	.	.	PUNCT
fumecheng-10736	368	1	classical	classical	ADJ
fumecheng-10736	368	2	and	and	CCONJ
fumecheng-10736	368	3	non	non	ADJ
fumecheng-10736	368	4	-	-	ADJ
fumecheng-10736	368	5	classical	classical	ADJ
fumecheng-10736	368	6	boundary	boundary	ADJ
fumecheng-10736	368	7	conditions	condition	NOUN
fumecheng-10736	368	8	of	of	ADP
fumecheng-10736	368	9	the	the	DET
fumecheng-10736	368	10	simply	simply	ADV
fumecheng-10736	368	11	-	-	PUNCT
fumecheng-10736	368	12	supported	support	VERB
fumecheng-10736	368	13	nanobeam	nanobeam	ADJ
fumecheng-10736	368	14	-	-	PUNCT
fumecheng-10736	368	15	substrate	substrate	NOUN
fumecheng-10736	368	16	medium	medium	NOUN
fumecheng-10736	368	17	system	system	NOUN
fumecheng-10736	368	18	follow	follow	VERB
fumecheng-10736	368	19	those	those	PRON
fumecheng-10736	368	20	suggested	suggest	VERB
fumecheng-10736	368	21	by	by	ADP
fumecheng-10736	368	22	zhang	zhang	PROPN
fumecheng-10736	368	23	and	and	CCONJ
fumecheng-10736	368	24	gao	gao	PROPN
fumecheng-10736	369	1	[	[	X
fumecheng-10736	369	2	30	30	NUM
fumecheng-10736	369	3	]	]	PUNCT
fumecheng-10736	369	4	as	as	ADP
fumecheng-10736	369	5	:	:	PUNCT
fumecheng-10736	369	6	classical	classical	ADJ
fumecheng-10736	369	7	boundary	boundary	ADJ
fumecheng-10736	369	8	conditions	condition	NOUN
fumecheng-10736	369	9	:	:	PUNCT
fumecheng-10736	369	10	0	0	NUM
fumecheng-10736	369	11	0	0	NUM
fumecheng-10736	369	12	(	(	PUNCT
fumecheng-10736	369	13	,	,	PUNCT
fumecheng-10736	369	14	)	)	PUNCT
fumecheng-10736	369	15	0	0	NUM
fumecheng-10736	370	1	x	x	SYM
fumecheng-10736	370	2	v	v	X
fumecheng-10736	370	3	x	x	X
fumecheng-10736	370	4	t	t	NOUN
fumecheng-10736	370	5	=	=	PUNCT
fumecheng-10736	371	1	=	=	NOUN
fumecheng-10736	371	2	and	and	CCONJ
fumecheng-10736	371	3	0	0	NUM
fumecheng-10736	371	4	(	(	PUNCT
fumecheng-10736	371	5	,	,	PUNCT
fumecheng-10736	371	6	)	)	PUNCT
fumecheng-10736	371	7	0	0	NUM
fumecheng-10736	372	1	x	x	SYM
fumecheng-10736	372	2	l	l	NOUN
fumecheng-10736	372	3	v	v	NOUN
fumecheng-10736	372	4	x	x	X
fumecheng-10736	372	5	t	t	NOUN
fumecheng-10736	372	6	=	=	PUNCT
fumecheng-10736	373	1	=	=	SYM
fumecheng-10736	373	2	(	(	PUNCT
fumecheng-10736	373	3	46	46	NUM
fumecheng-10736	373	4	)	)	PUNCT
fumecheng-10736	373	5	4	4	NUM
fumecheng-10736	373	6	2	2	NUM
fumecheng-10736	373	7	4	4	NUM
fumecheng-10736	373	8	20	20	NUM
fumecheng-10736	373	9	0	0	NUM
fumecheng-10736	373	10	0	0	NUM
fumecheng-10736	373	11	4	4	NUM
fumecheng-10736	373	12	2	2	NUM
fumecheng-10736	373	13	2	2	NUM
fumecheng-10736	373	14	2	2	NUM
fumecheng-10736	373	15	0	0	NUM
fumecheng-10736	373	16	4	4	NUM
fumecheng-10736	373	17	2	2	NUM
fumecheng-10736	373	18	4	4	NUM
fumecheng-10736	373	19	20	20	NUM
fumecheng-10736	373	20	0	0	NUM
fumecheng-10736	373	21	0	0	NUM
fumecheng-10736	373	22	4	4	NUM
fumecheng-10736	373	23	2	2	NUM
fumecheng-10736	373	24	2	2	NUM
fumecheng-10736	373	25	2	2	NUM
fumecheng-10736	373	26	(	(	PUNCT
fumecheng-10736	373	27	,	,	PUNCT
fumecheng-10736	373	28	)	)	PUNCT
fumecheng-10736	373	29	(	(	PUNCT
fumecheng-10736	373	30	,	,	PUNCT
fumecheng-10736	373	31	)	)	PUNCT
fumecheng-10736	373	32	(	(	PUNCT
fumecheng-10736	373	33	,	,	PUNCT
fumecheng-10736	373	34	)	)	PUNCT
fumecheng-10736	373	35	(	(	PUNCT
fumecheng-10736	373	36	,	,	PUNCT
fumecheng-10736	373	37	)	)	PUNCT
fumecheng-10736	373	38	(	(	PUNCT
fumecheng-10736	373	39	)	)	PUNCT
fumecheng-10736	373	40	(	(	PUNCT
fumecheng-10736	373	41	)	)	PUNCT
fumecheng-10736	373	42	0	0	PUNCT
fumecheng-10736	374	1	and	and	CCONJ
fumecheng-10736	374	2	(	(	PUNCT
fumecheng-10736	374	3	,	,	PUNCT
fumecheng-10736	374	4	)	)	PUNCT
fumecheng-10736	374	5	(	(	PUNCT
fumecheng-10736	374	6	,	,	PUNCT
fumecheng-10736	374	7	)	)	PUNCT
fumecheng-10736	374	8	(	(	PUNCT
fumecheng-10736	374	9	,	,	PUNCT
fumecheng-10736	374	10	)	)	PUNCT
fumecheng-10736	374	11	(	(	PUNCT
fumecheng-10736	374	12	,	,	PUNCT
fumecheng-10736	374	13	)	)	PUNCT
fumecheng-10736	374	14	(	(	PUNCT
fumecheng-10736	374	15	)	)	PUNCT
fumecheng-10736	374	16	(	(	PUNCT
fumecheng-10736	374	17	)	)	PUNCT
fumecheng-10736	374	18	0	0	NUM
fumecheng-10736	375	1	h	h	NOUN
fumecheng-10736	375	2	l	l	NOUN
fumecheng-10736	375	3	eff	eff	PROPN
fumecheng-10736	375	4	eff	eff	PROPN
fumecheng-10736	375	5	v	v	NOUN
fumecheng-10736	375	6	x	x	SYM
fumecheng-10736	375	7	h	h	NOUN
fumecheng-10736	375	8	l	l	NOUN
fumecheng-10736	375	9	eff	eff	PROPN
fumecheng-10736	375	10	eff	eff	PROPN
fumecheng-10736	375	11	v	v	PROPN
fumecheng-10736	375	12	x	x	PROPN
fumecheng-10736	375	13	l	l	NOUN
fumecheng-10736	375	14	v	v	NOUN
fumecheng-10736	375	15	x	x	SYM
fumecheng-10736	375	16	t	t	NOUN
fumecheng-10736	375	17	v	v	NOUN
fumecheng-10736	375	18	x	x	SYM
fumecheng-10736	375	19	t	t	PROPN
fumecheng-10736	375	20	v	v	NOUN
fumecheng-10736	375	21	x	x	SYM
fumecheng-10736	375	22	t	t	NOUN
fumecheng-10736	375	23	m	m	PROPN
fumecheng-10736	375	24	x	x	SYM
fumecheng-10736	375	25	t	t	NOUN
fumecheng-10736	375	26	ei	ei	X
fumecheng-10736	375	27	ei	ei	X
fumecheng-10736	375	28	il	il	PROPN
fumecheng-10736	375	29	x	x	PUNCT
fumecheng-10736	375	30	x	x	PUNCT
fumecheng-10736	375	31	x	x	SYM
fumecheng-10736	375	32	t	t	NOUN
fumecheng-10736	375	33	v	v	NUM
fumecheng-10736	375	34	x	x	SYM
fumecheng-10736	375	35	t	t	PROPN
fumecheng-10736	375	36	v	v	NUM
fumecheng-10736	375	37	x	x	SYM
fumecheng-10736	375	38	t	t	PROPN
fumecheng-10736	375	39	v	v	NOUN
fumecheng-10736	375	40	x	x	SYM
fumecheng-10736	375	41	t	t	NOUN
fumecheng-10736	375	42	m	m	PROPN
fumecheng-10736	375	43	x	x	SYM
fumecheng-10736	375	44	t	t	NOUN
fumecheng-10736	375	45	ei	ei	X
fumecheng-10736	375	46	ei	ei	X
fumecheng-10736	375	47	il	il	PROPN
fumecheng-10736	375	48	x	x	PUNCT
fumecheng-10736	375	49	x	x	PUNCT
fumecheng-10736	375	50	x	x	X
fumecheng-10736	375	51	t	t	NOUN
fumecheng-10736	375	52			NOUN
fumecheng-10736	375	53			X
fumecheng-10736	375	54	=	=	PUNCT
fumecheng-10736	375	55	=	=	SYM
fumecheng-10736	375	56			PROPN
fumecheng-10736	375	57			ADJ
fumecheng-10736	375	58			ADJ
fumecheng-10736	375	59			PROPN
fumecheng-10736	375	60	=	=	PUNCT
fumecheng-10736	375	61	−	−	NOUN
fumecheng-10736	375	62	−	−	NUM
fumecheng-10736	375	63	=	=	SYM
fumecheng-10736	375	64			NOUN
fumecheng-10736	375	65			ADJ
fumecheng-10736	375	66			ADJ
fumecheng-10736	375	67			PROPN
fumecheng-10736	375	68			PROPN
fumecheng-10736	375	69			PROPN
fumecheng-10736	375	70			PROPN
fumecheng-10736	375	71			PROPN
fumecheng-10736	375	72			ADJ
fumecheng-10736	375	73			ADJ
fumecheng-10736	375	74			PROPN
fumecheng-10736	375	75	=	=	PUNCT
fumecheng-10736	375	76	−	−	NOUN
fumecheng-10736	375	77	−	−	NUM
fumecheng-10736	375	78	=	=	SYM
fumecheng-10736	375	79			NOUN
fumecheng-10736	375	80			ADJ
fumecheng-10736	375	81			ADJ
fumecheng-10736	375	82			PROPN
fumecheng-10736	375	83			PROPN
fumecheng-10736	375	84			PROPN
fumecheng-10736	375	85			PROPN
fumecheng-10736	375	86	(	(	PUNCT
fumecheng-10736	375	87	47	47	NUM
fumecheng-10736	375	88	)	)	PUNCT
fumecheng-10736	375	89	non	non	ADJ
fumecheng-10736	375	90	-	-	ADJ
fumecheng-10736	375	91	classical	classical	ADJ
fumecheng-10736	375	92	boundary	boundary	ADJ
fumecheng-10736	375	93	conditions	condition	NOUN
fumecheng-10736	375	94	:	:	PUNCT
fumecheng-10736	375	95	2	2	NUM
fumecheng-10736	375	96	0	0	NUM
fumecheng-10736	375	97	2	2	NUM
fumecheng-10736	375	98	0	0	NUM
fumecheng-10736	375	99	(	(	PUNCT
fumecheng-10736	375	100	,	,	PUNCT
fumecheng-10736	375	101	)	)	PUNCT
fumecheng-10736	375	102	(	(	PUNCT
fumecheng-10736	375	103	,	,	PUNCT
fumecheng-10736	375	104	)	)	PUNCT
fumecheng-10736	375	105	0	0	NUM
fumecheng-10736	376	1	x	x	SYM
fumecheng-10736	376	2	v	v	X
fumecheng-10736	376	3	x	x	SYM
fumecheng-10736	376	4	t	t	NOUN
fumecheng-10736	376	5	x	x	SYM
fumecheng-10736	376	6	t	t	NOUN
fumecheng-10736	376	7	x	x	PUNCT
fumecheng-10736	376	8			VERB
fumecheng-10736	376	9	=	=	NOUN
fumecheng-10736	376	10			ADJ
fumecheng-10736	376	11	=	=	SYM
fumecheng-10736	376	12	=	=	NOUN
fumecheng-10736	376	13			ADJ
fumecheng-10736	376	14	and	and	CCONJ
fumecheng-10736	376	15	2	2	NUM
fumecheng-10736	376	16	0	0	NUM
fumecheng-10736	376	17	2	2	NUM
fumecheng-10736	376	18	(	(	PUNCT
fumecheng-10736	376	19	,	,	PUNCT
fumecheng-10736	376	20	)	)	PUNCT
fumecheng-10736	376	21	(	(	PUNCT
fumecheng-10736	376	22	,	,	PUNCT
fumecheng-10736	376	23	)	)	PUNCT
fumecheng-10736	376	24	0	0	NUM
fumecheng-10736	377	1	x	x	SYM
fumecheng-10736	377	2	l	l	NOUN
fumecheng-10736	377	3	v	v	NOUN
fumecheng-10736	377	4	x	x	SYM
fumecheng-10736	377	5	t	t	NOUN
fumecheng-10736	377	6	x	x	SYM
fumecheng-10736	377	7	t	t	NOUN
fumecheng-10736	377	8	x	x	PUNCT
fumecheng-10736	377	9			VERB
fumecheng-10736	377	10	=	=	NOUN
fumecheng-10736	377	11			ADJ
fumecheng-10736	377	12	=	=	SYM
fumecheng-10736	377	13	=	=	SYM
fumecheng-10736	377	14			ADJ
fumecheng-10736	377	15	(	(	PUNCT
fumecheng-10736	377	16	48	48	NUM
fumecheng-10736	377	17	)	)	PUNCT
fumecheng-10736	377	18	to	to	PART
fumecheng-10736	377	19	determine	determine	VERB
fumecheng-10736	377	20	the	the	DET
fumecheng-10736	377	21	analytical	analytical	ADJ
fumecheng-10736	377	22	solution	solution	NOUN
fumecheng-10736	377	23	to	to	ADP
fumecheng-10736	377	24	eq	eq	PROPN
fumecheng-10736	377	25	.	.	PUNCT
fumecheng-10736	377	26	(	(	PUNCT
fumecheng-10736	377	27	45	45	NUM
fumecheng-10736	377	28	)	)	PUNCT
fumecheng-10736	377	29	,	,	PUNCT
fumecheng-10736	377	30	the	the	DET
fumecheng-10736	377	31	method	method	NOUN
fumecheng-10736	377	32	of	of	ADP
fumecheng-10736	377	33	separation	separation	NOUN
fumecheng-10736	377	34	of	of	ADP
fumecheng-10736	377	35	variables	variable	NOUN
fumecheng-10736	377	36	is	be	AUX
fumecheng-10736	377	37	called	call	VERB
fumecheng-10736	377	38	for	for	ADP
fumecheng-10736	377	39	.	.	PUNCT
fumecheng-10736	378	1	the	the	DET
fumecheng-10736	378	2	following	follow	VERB
fumecheng-10736	378	3	transverse	transverse	NOUN
fumecheng-10736	378	4	displacement	displacement	NOUN
fumecheng-10736	378	5	v0(x	v0(x	PROPN
fumecheng-10736	378	6	,	,	PUNCT
fumecheng-10736	378	7	t	t	PROPN
fumecheng-10736	378	8	)	)	PUNCT
fumecheng-10736	378	9	suggested	suggest	VERB
fumecheng-10736	378	10	by	by	ADP
fumecheng-10736	378	11	zhang	zhang	PROPN
fumecheng-10736	378	12	and	and	CCONJ
fumecheng-10736	378	13	gao	gao	PROPN
fumecheng-10736	379	1	[	[	X
fumecheng-10736	379	2	30	30	NUM
fumecheng-10736	379	3	]	]	PUNCT
fumecheng-10736	379	4	satisfies	satisfie	NOUN
fumecheng-10736	379	5	all	all	DET
fumecheng-10736	379	6	boundary	boundary	ADJ
fumecheng-10736	379	7	conditions	condition	NOUN
fumecheng-10736	379	8	of	of	ADP
fumecheng-10736	379	9	eqs	eqs	PROPN
fumecheng-10736	379	10	.	.	PUNCT
fumecheng-10736	380	1	(	(	PUNCT
fumecheng-10736	380	2	46	46	NUM
fumecheng-10736	380	3	)	)	PUNCT
fumecheng-10736	380	4	to	to	ADP
fumecheng-10736	380	5	(	(	PUNCT
fumecheng-10736	380	6	48	48	NUM
fumecheng-10736	380	7	)	)	PUNCT
fumecheng-10736	380	8	.	.	PUNCT
fumecheng-10736	381	1	0	0	NUM
fumecheng-10736	381	2	1	1	NUM
fumecheng-10736	381	3	(	(	PUNCT
fumecheng-10736	381	4	,	,	PUNCT
fumecheng-10736	381	5	)	)	PUNCT
fumecheng-10736	381	6	sin	sin	NOUN
fumecheng-10736	381	7	(	(	PUNCT
fumecheng-10736	381	8	)	)	PUNCT
fumecheng-10736	381	9	ni	ni	PROPN
fumecheng-10736	381	10	t	t	PROPN
fumecheng-10736	381	11	n	n	CCONJ
fumecheng-10736	381	12	n	n	CCONJ
fumecheng-10736	381	13	n	n	ADV
fumecheng-10736	381	14	v	v	NOUN
fumecheng-10736	381	15	x	x	SYM
fumecheng-10736	381	16	t	t	NOUN
fumecheng-10736	381	17	v	v	NOUN
fumecheng-10736	381	18	x	x	X
fumecheng-10736	381	19	e	e	NOUN
fumecheng-10736	381	20			X
fumecheng-10736	381	21			VERB
fumecheng-10736	381	22	=	=	SYM
fumecheng-10736	382	1	=	=	AUX
fumecheng-10736	382	2			X
fumecheng-10736	382	3	(	(	PUNCT
fumecheng-10736	382	4	49	49	NUM
fumecheng-10736	382	5	)	)	PUNCT
fumecheng-10736	382	6	where	where	SCONJ
fumecheng-10736	382	7	ϕn	ϕn	NOUN
fumecheng-10736	382	8	=	=	PUNCT
fumecheng-10736	382	9	nπ	nπ	NOUN
fumecheng-10736	382	10	/	/	SYM
fumecheng-10736	382	11	l	l	NOUN
fumecheng-10736	382	12	;	;	PUNCT
fumecheng-10736	382	13	vn	vn	X
fumecheng-10736	382	14	is	be	AUX
fumecheng-10736	382	15	the	the	DET
fumecheng-10736	382	16	fourier	fourier	ADJ
fumecheng-10736	382	17	coefficient	coefficient	NOUN
fumecheng-10736	382	18	;	;	PUNCT
fumecheng-10736	382	19	n	n	PRON
fumecheng-10736	382	20	is	be	AUX
fumecheng-10736	382	21	the	the	DET
fumecheng-10736	382	22	vibration	vibration	NOUN
fumecheng-10736	382	23	mode	mode	NOUN
fumecheng-10736	382	24	;	;	PUNCT
fumecheng-10736	382	25	ωn	ωn	PRON
fumecheng-10736	382	26	is	be	AUX
fumecheng-10736	382	27	the	the	DET
fumecheng-10736	382	28	natural	natural	ADJ
fumecheng-10736	382	29	frequency	frequency	NOUN
fumecheng-10736	382	30	associated	associate	VERB
fumecheng-10736	382	31	with	with	ADP
fumecheng-10736	382	32	the	the	DET
fumecheng-10736	382	33	nth	nth	NOUN
fumecheng-10736	382	34	vibration	vibration	NOUN
fumecheng-10736	382	35	mode	mode	NOUN
fumecheng-10736	382	36	;	;	PUNCT
fumecheng-10736	382	37	and	and	CCONJ
fumecheng-10736	382	38	i	i	PRON
fumecheng-10736	382	39	is	be	AUX
fumecheng-10736	382	40	an	an	DET
fumecheng-10736	382	41	imaginary	imaginary	ADJ
fumecheng-10736	382	42	number	number	NOUN
fumecheng-10736	382	43	.	.	PUNCT
fumecheng-10736	383	1	substituting	substitute	VERB
fumecheng-10736	383	2	eq	eq	ADP
fumecheng-10736	383	3	.	.	PUNCT
fumecheng-10736	384	1	(	(	PUNCT
fumecheng-10736	384	2	49	49	NUM
fumecheng-10736	384	3	)	)	PUNCT
fumecheng-10736	384	4	into	into	ADP
fumecheng-10736	384	5	eq	eq	NOUN
fumecheng-10736	384	6	.	.	PUNCT
fumecheng-10736	385	1	(	(	PUNCT
fumecheng-10736	385	2	45	45	NUM
fumecheng-10736	385	3	)	)	PUNCT
fumecheng-10736	385	4	,	,	PUNCT
fumecheng-10736	385	5	the	the	DET
fumecheng-10736	385	6	natural	natural	ADJ
fumecheng-10736	385	7	frequency	frequency	NOUN
fumecheng-10736	385	8	proposed	propose	VERB
fumecheng-10736	385	9	n	n	NOUN
fumecheng-10736	385	10	of	of	ADP
fumecheng-10736	385	11	the	the	DET
fumecheng-10736	385	12	nth	nth	NOUN
fumecheng-10736	385	13	vibration	vibration	NOUN
fumecheng-10736	385	14	mode	mode	NOUN
fumecheng-10736	385	15	is	be	AUX
fumecheng-10736	385	16	obtained	obtain	VERB
fumecheng-10736	385	17	by	by	ADP
fumecheng-10736	385	18	enforcing	enforce	VERB
fumecheng-10736	385	19	the	the	DET
fumecheng-10736	385	20	non	non	ADJ
fumecheng-10736	385	21	-	-	ADJ
fumecheng-10736	385	22	trivial	trivial	ADJ
fumecheng-10736	385	23	condition	condition	NOUN
fumecheng-10736	385	24	(	(	PUNCT
fumecheng-10736	385	25	vn	vn	X
fumecheng-10736	385	26	≠	≠	PROPN
fumecheng-10736	385	27	0	0	NUM
fumecheng-10736	385	28	)	)	PUNCT
fumecheng-10736	385	29	.	.	PUNCT
fumecheng-10736	386	1	the	the	DET
fumecheng-10736	386	2	resulting	result	VERB
fumecheng-10736	386	3	explicit	explicit	ADJ
fumecheng-10736	386	4	form	form	NOUN
fumecheng-10736	386	5	of	of	ADP
fumecheng-10736	386	6	the	the	DET
fumecheng-10736	386	7	nth	nth	NOUN
fumecheng-10736	386	8	-	-	PUNCT
fumecheng-10736	386	9	vibration	vibration	ADJ
fumecheng-10736	386	10	mode	mode	NOUN
fumecheng-10736	386	11	natural	natural	ADJ
fumecheng-10736	386	12	frequency	frequency	NOUN
fumecheng-10736	386	13	is	be	AUX
fumecheng-10736	386	14	:	:	PUNCT
fumecheng-10736	386	15	2	2	NUM
fumecheng-10736	386	16	4	4	NUM
fumecheng-10736	386	17	6	6	NUM
fumecheng-10736	386	18	2	2	NUM
fumecheng-10736	386	19	2	2	NUM
fumecheng-10736	386	20	2	2	NUM
fumecheng-10736	386	21	4	4	NUM
fumecheng-10736	386	22	2	2	NUM
fumecheng-10736	386	23	(	(	PUNCT
fumecheng-10736	386	24	)	)	PUNCT
fumecheng-10736	386	25	(	(	PUNCT
fumecheng-10736	386	26	)	)	PUNCT
fumecheng-10736	386	27	)	)	PUNCT
fumecheng-10736	386	28	(	(	PUNCT
fumecheng-10736	386	29	(	(	PUNCT
fumecheng-10736	386	30	)	)	SYM
fumecheng-10736	386	31	1	1	NUM
fumecheng-10736	386	32	2	2	NUM
fumecheng-10736	386	33	sur	sur	NOUN
fumecheng-10736	386	34	l	l	NOUN
fumecheng-10736	386	35	h	h	NOUN
fumecheng-10736	386	36	res	re	NOUN
fumecheng-10736	386	37	n	n	PROPN
fumecheng-10736	386	38	eff	eff	PROPN
fumecheng-10736	386	39	n	n	PROPN
fumecheng-10736	386	40	eff	eff	PROPN
fumecheng-10736	386	41	n	n	PROPN
fumecheng-10736	386	42	v	v	PROPN
fumecheng-10736	386	43	n	n	PROPN
fumecheng-10736	386	44	s	s	NOUN
fumecheng-10736	386	45	v	v	NOUN
fumecheng-10736	386	46	n	n	PRON
fumecheng-10736	386	47	n	n	ADV
fumecheng-10736	386	48	eproposed	epropose	VERB
fumecheng-10736	386	49	n	n	PROPN
fumecheng-10736	386	50	s	s	X
fumecheng-10736	386	51	ei	ei	X
fumecheng-10736	386	52	ei	ei	X
fumecheng-10736	386	53	a	a	DET
fumecheng-10736	386	54	l	l	NOUN
fumecheng-10736	387	1	i	i	NOUN
fumecheng-10736	387	2	k	k	PROPN
fumecheng-10736	387	3	l	l	X
fumecheng-10736	388	1			X
fumecheng-10736	388	2			NOUN
fumecheng-10736	388	3			NOUN
fumecheng-10736	388	4			NOUN
fumecheng-10736	388	5			NOUN
fumecheng-10736	388	6			ADP
fumecheng-10736	388	7			NOUN
fumecheng-10736	388	8			ADP
fumecheng-10736	388	9			NOUN
fumecheng-10736	388	10			NOUN
fumecheng-10736	388	11			VERB
fumecheng-10736	388	12	+	+	ADJ
fumecheng-10736	388	13	+	+	NOUN
fumecheng-10736	388	14	+	+	SYM
fumecheng-10736	388	15	=	=	SYM
fumecheng-10736	389	1	+	+	PUNCT
fumecheng-10736	389	2	+	+	PUNCT
fumecheng-10736	389	3	+	+	CCONJ
fumecheng-10736	389	4	(	(	PUNCT
fumecheng-10736	389	5	50	50	NUM
fumecheng-10736	389	6	)	)	PUNCT
fumecheng-10736	389	7	bending	bending	NOUN
fumecheng-10736	389	8	,	,	PUNCT
fumecheng-10736	389	9	buckling	buckling	NOUN
fumecheng-10736	389	10	,	,	PUNCT
fumecheng-10736	389	11	and	and	CCONJ
fumecheng-10736	389	12	free	free	ADJ
fumecheng-10736	389	13	vibration	vibration	NOUN
fumecheng-10736	389	14	analyses	analysis	NOUN
fumecheng-10736	389	15	of	of	ADP
fumecheng-10736	389	16	nanobeam	nanobeam	ADJ
fumecheng-10736	389	17	-	-	PUNCT
fumecheng-10736	389	18	substrate	substrate	NOUN
fumecheng-10736	389	19	medium	medium	NOUN
fumecheng-10736	389	20	systems	system	NOUN
fumecheng-10736	389	21	575	575	NUM
fumecheng-10736	389	22	the	the	DET
fumecheng-10736	389	23	natural	natural	ADJ
fumecheng-10736	389	24	frequency	frequency	NOUN
fumecheng-10736	389	25	proposed	propose	VERB
fumecheng-10736	389	26	n	n	NOUN
fumecheng-10736	389	27	of	of	ADP
fumecheng-10736	389	28	eq	eq	PROPN
fumecheng-10736	389	29	.	.	PUNCT
fumecheng-10736	390	1	(	(	PUNCT
fumecheng-10736	390	2	50	50	NUM
fumecheng-10736	390	3	)	)	PUNCT
fumecheng-10736	390	4	becomes	become	VERB
fumecheng-10736	390	5	identical	identical	ADJ
fumecheng-10736	390	6	to	to	ADP
fumecheng-10736	390	7	the	the	DET
fumecheng-10736	390	8	natural	natural	ADJ
fumecheng-10736	390	9	frequency	frequency	NOUN
fumecheng-10736	390	10	classical	classical	ADJ
fumecheng-10736	390	11	n	n	NOUN
fumecheng-10736	390	12	obtained	obtain	VERB
fumecheng-10736	390	13	with	with	ADP
fumecheng-10736	390	14	the	the	DET
fumecheng-10736	390	15	local	local	ADJ
fumecheng-10736	390	16	beam	beam	ADJ
fumecheng-10736	390	17	-	-	PUNCT
fumecheng-10736	390	18	winkler	winkler	NOUN
fumecheng-10736	390	19	foundation	foundation	NOUN
fumecheng-10736	390	20	system	system	NOUN
fumecheng-10736	390	21	when	when	SCONJ
fumecheng-10736	390	22	the	the	DET
fumecheng-10736	390	23	material	material	NOUN
fumecheng-10736	390	24	length	length	NOUN
fumecheng-10736	390	25	-	-	PUNCT
fumecheng-10736	390	26	scale	scale	NOUN
fumecheng-10736	390	27	parameters	parameter	NOUN
fumecheng-10736	390	28	(	(	PUNCT
fumecheng-10736	390	29	ls	ls	PROPN
fumecheng-10736	390	30	,	,	PUNCT
fumecheng-10736	390	31	lm	lm	INTJ
fumecheng-10736	390	32	,	,	PUNCT
fumecheng-10736	390	33	and	and	CCONJ
fumecheng-10736	390	34	lv	lv	PROPN
fumecheng-10736	390	35	)	)	PUNCT
fumecheng-10736	390	36	and	and	CCONJ
fumecheng-10736	390	37	the	the	DET
fumecheng-10736	390	38	surface	surface	NOUN
fumecheng-10736	390	39	-	-	PUNCT
fumecheng-10736	390	40	layer	layer	NOUN
fumecheng-10736	390	41	parameters	parameter	NOUN
fumecheng-10736	390	42	(	(	PUNCT
fumecheng-10736	390	43	sur	sur	PROPN
fumecheng-10736	390	44	xxe	xxe	PROPN
fumecheng-10736	390	45	and	and	CCONJ
fumecheng-10736	390	46	sur	sur	PROPN
fumecheng-10736	390	47	res	res	PROPN
fumecheng-10736	390	48	)	)	PUNCT
fumecheng-10736	390	49	vanish	vanish	VERB
fumecheng-10736	390	50	.	.	PUNCT
fumecheng-10736	391	1	furthermore	furthermore	ADV
fumecheng-10736	391	2	,	,	PUNCT
fumecheng-10736	391	3	eq	eq	ADJ
fumecheng-10736	391	4	.	.	PUNCT
fumecheng-10736	392	1	(	(	PUNCT
fumecheng-10736	392	2	50	50	NUM
fumecheng-10736	392	3	)	)	PUNCT
fumecheng-10736	392	4	reduces	reduce	VERB
fumecheng-10736	392	5	to	to	ADP
fumecheng-10736	392	6	the	the	DET
fumecheng-10736	392	7	explicit	explicit	ADJ
fumecheng-10736	392	8	form	form	NOUN
fumecheng-10736	392	9	of	of	ADP
fumecheng-10736	392	10	the	the	DET
fumecheng-10736	392	11	natural	natural	ADJ
fumecheng-10736	392	12	frequency	frequency	NOUN
fumecheng-10736	392	13	obtained	obtain	VERB
fumecheng-10736	392	14	with	with	ADP
fumecheng-10736	392	15	the	the	DET
fumecheng-10736	392	16	reformulated	reformulate	VERB
fumecheng-10736	392	17	strain	strain	NOUN
fumecheng-10736	392	18	-	-	PUNCT
fumecheng-10736	392	19	gradient	gradient	NOUN
fumecheng-10736	392	20	beam	beam	NOUN
fumecheng-10736	392	21	model	model	NOUN
fumecheng-10736	392	22	of	of	ADP
fumecheng-10736	392	23	zhang	zhang	PROPN
fumecheng-10736	392	24	and	and	CCONJ
fumecheng-10736	392	25	gao	gao	PROPN
fumecheng-10736	393	1	[	[	X
fumecheng-10736	393	2	30	30	NUM
fumecheng-10736	393	3	]	]	PUNCT
fumecheng-10736	393	4	when	when	SCONJ
fumecheng-10736	393	5	the	the	DET
fumecheng-10736	393	6	underlying	underlie	VERB
fumecheng-10736	393	7	substrate	substrate	NOUN
fumecheng-10736	393	8	medium	medium	ADJ
fumecheng-10736	393	9	and	and	CCONJ
fumecheng-10736	393	10	surface	surface	NOUN
fumecheng-10736	393	11	energy	energy	NOUN
fumecheng-10736	393	12	are	be	AUX
fumecheng-10736	393	13	ignored	ignore	VERB
fumecheng-10736	393	14	(	(	PUNCT
fumecheng-10736	393	15	kes	kes	PROPN
fumecheng-10736	393	16	=	=	SYM
fumecheng-10736	393	17	sur	sur	PROPN
fumecheng-10736	393	18	xxe	xxe	PROPN
fumecheng-10736	393	19	=	=	PROPN
fumecheng-10736	393	20	sur	sur	PROPN
fumecheng-10736	393	21	res	res	NOUN
fumecheng-10736	393	22	=	=	SYM
fumecheng-10736	393	23	0	0	NUM
fumecheng-10736	393	24	)	)	PUNCT
fumecheng-10736	393	25	.	.	PUNCT
fumecheng-10736	394	1	7	7	X
fumecheng-10736	394	2	.	.	X
fumecheng-10736	394	3	numerical	numerical	ADJ
fumecheng-10736	394	4	simulations	simulation	NOUN
fumecheng-10736	394	5	to	to	PART
fumecheng-10736	394	6	assess	assess	VERB
fumecheng-10736	394	7	bending	bending	NOUN
fumecheng-10736	394	8	,	,	PUNCT
fumecheng-10736	394	9	buckling	buckling	NOUN
fumecheng-10736	394	10	,	,	PUNCT
fumecheng-10736	394	11	and	and	CCONJ
fumecheng-10736	394	12	free	free	ADJ
fumecheng-10736	394	13	-	-	PUNCT
fumecheng-10736	394	14	vibration	vibration	NOUN
fumecheng-10736	394	15	responses	response	NOUN
fumecheng-10736	394	16	of	of	ADP
fumecheng-10736	394	17	nanobeam	nanobeam	ADJ
fumecheng-10736	394	18	-	-	PUNCT
fumecheng-10736	394	19	substrate	substrate	NOUN
fumecheng-10736	394	20	medium	medium	ADJ
fumecheng-10736	394	21	systems	system	NOUN
fumecheng-10736	394	22	,	,	PUNCT
fumecheng-10736	394	23	three	three	NUM
fumecheng-10736	394	24	numerical	numerical	ADJ
fumecheng-10736	394	25	simulations	simulation	NOUN
fumecheng-10736	394	26	using	use	VERB
fumecheng-10736	394	27	the	the	DET
fumecheng-10736	394	28	proposed	propose	VERB
fumecheng-10736	394	29	model	model	NOUN
fumecheng-10736	394	30	are	be	AUX
fumecheng-10736	394	31	presented	present	VERB
fumecheng-10736	394	32	.	.	PUNCT
fumecheng-10736	395	1	the	the	DET
fumecheng-10736	395	2	material	material	NOUN
fumecheng-10736	395	3	properties	property	NOUN
fumecheng-10736	395	4	of	of	ADP
fumecheng-10736	395	5	the	the	DET
fumecheng-10736	395	6	lead	lead	ADJ
fumecheng-10736	395	7	nanobeam	nanobeam	NOUN
fumecheng-10736	395	8	employed	employ	VERB
fumecheng-10736	395	9	in	in	ADP
fumecheng-10736	395	10	all	all	DET
fumecheng-10736	395	11	simulations	simulation	NOUN
fumecheng-10736	395	12	are	be	AUX
fumecheng-10736	395	13	obtained	obtain	VERB
fumecheng-10736	395	14	from	from	ADP
fumecheng-10736	395	15	cuenot	cuenot	ADV
fumecheng-10736	395	16	et	et	PROPN
fumecheng-10736	395	17	al	al	PROPN
fumecheng-10736	395	18	.	.	PUNCT
fumecheng-10736	396	1	[	[	X
fumecheng-10736	396	2	76	76	NUM
fumecheng-10736	396	3	]	]	PUNCT
fumecheng-10736	396	4	and	and	CCONJ
fumecheng-10736	396	5	wan	wan	PROPN
fumecheng-10736	396	6	et	et	PROPN
fumecheng-10736	396	7	al	al	PROPN
fumecheng-10736	396	8	.	.	PUNCT
fumecheng-10736	397	1	[	[	X
fumecheng-10736	397	2	77	77	NUM
fumecheng-10736	397	3	]	]	PUNCT
fumecheng-10736	397	4	as	as	SCONJ
fumecheng-10736	397	5	summarized	summarize	VERB
fumecheng-10736	397	6	in	in	ADP
fumecheng-10736	397	7	table	table	NOUN
fumecheng-10736	397	8	1	1	NUM
fumecheng-10736	397	9	.	.	PUNCT
fumecheng-10736	397	10	table	table	NOUN
fumecheng-10736	397	11	1	1	NUM
fumecheng-10736	397	12	material	material	NOUN
fumecheng-10736	397	13	properties	property	NOUN
fumecheng-10736	397	14	of	of	ADP
fumecheng-10736	397	15	the	the	DET
fumecheng-10736	397	16	lead	lead	ADJ
fumecheng-10736	397	17	nanobeam	nanobeam	NOUN
fumecheng-10736	398	1	[	[	X
fumecheng-10736	398	2	76	76	NUM
fumecheng-10736	398	3	-	-	SYM
fumecheng-10736	398	4	77	77	NUM
fumecheng-10736	398	5	]	]	PUNCT
fumecheng-10736	398	6	.	.	PUNCT
fumecheng-10736	399	1	material	material	ADJ
fumecheng-10736	399	2	bulk	bulk	ADJ
fumecheng-10736	399	3	modulus	modulus	NOUN
fumecheng-10736	399	4	(	(	PUNCT
fumecheng-10736	399	5	gpa	gpa	PROPN
fumecheng-10736	399	6	)	)	PUNCT
fumecheng-10736	399	7	poisson	poisson	PROPN
fumecheng-10736	399	8	’s	’s	PART
fumecheng-10736	399	9	ratio	ratio	NOUN
fumecheng-10736	399	10	density	density	NOUN
fumecheng-10736	399	11	(	(	PUNCT
fumecheng-10736	399	12	kg	kg	NOUN
fumecheng-10736	399	13	/	/	SYM
fumecheng-10736	399	14	m3	m3	PROPN
fumecheng-10736	399	15	)	)	PUNCT
fumecheng-10736	399	16	surface	surface	NOUN
fumecheng-10736	399	17	elastic	elastic	ADJ
fumecheng-10736	399	18	modulus	modulus	NOUN
fumecheng-10736	399	19	(	(	PUNCT
fumecheng-10736	399	20	nn	nn	PROPN
fumecheng-10736	399	21	/	/	SYM
fumecheng-10736	399	22	nm	nm	NOUN
fumecheng-10736	399	23	)	)	PUNCT
fumecheng-10736	399	24	residual	residual	ADJ
fumecheng-10736	399	25	surface	surface	NOUN
fumecheng-10736	399	26	stress	stress	NOUN
fumecheng-10736	399	27	(	(	PUNCT
fumecheng-10736	399	28	nn	nn	PROPN
fumecheng-10736	399	29	/	/	SYM
fumecheng-10736	399	30	nm	nm	NOUN
fumecheng-10736	399	31	)	)	PUNCT
fumecheng-10736	399	32	lead	lead	VERB
fumecheng-10736	399	33	16	16	NUM
fumecheng-10736	399	34	0.4	0.4	NUM
fumecheng-10736	399	35	11,343	11,343	NUM
fumecheng-10736	399	36	8	8	NUM
fumecheng-10736	399	37	0.63	0.63	NUM
fumecheng-10736	399	38	7.1	7.1	NUM
fumecheng-10736	399	39	.	.	PUNCT
fumecheng-10736	400	1	simulation	simulation	NOUN
fumecheng-10736	400	2	i	i	PRON
fumecheng-10736	400	3	:	:	PUNCT
fumecheng-10736	400	4	bending	bend	VERB
fumecheng-10736	400	5	responses	response	NOUN
fumecheng-10736	400	6	simulation	simulation	NOUN
fumecheng-10736	400	7	i	i	PRON
fumecheng-10736	400	8	focuses	focus	VERB
fumecheng-10736	400	9	on	on	ADP
fumecheng-10736	400	10	bending	bend	VERB
fumecheng-10736	400	11	responses	response	NOUN
fumecheng-10736	400	12	of	of	ADP
fumecheng-10736	400	13	the	the	DET
fumecheng-10736	400	14	proposed	propose	VERB
fumecheng-10736	400	15	model	model	NOUN
fumecheng-10736	400	16	and	and	CCONJ
fumecheng-10736	400	17	considers	consider	VERB
fumecheng-10736	400	18	two	two	NUM
fumecheng-10736	400	19	analysis	analysis	NOUN
fumecheng-10736	400	20	cases	case	NOUN
fumecheng-10736	400	21	.	.	PUNCT
fumecheng-10736	401	1	the	the	DET
fumecheng-10736	401	2	first	first	ADJ
fumecheng-10736	401	3	analysis	analysis	NOUN
fumecheng-10736	401	4	case	case	NOUN
fumecheng-10736	401	5	demonstrates	demonstrate	VERB
fumecheng-10736	401	6	the	the	DET
fumecheng-10736	401	7	ability	ability	NOUN
fumecheng-10736	401	8	of	of	ADP
fumecheng-10736	401	9	the	the	DET
fumecheng-10736	401	10	proposed	propose	VERB
fumecheng-10736	401	11	model	model	NOUN
fumecheng-10736	401	12	to	to	PART
fumecheng-10736	401	13	obtain	obtain	VERB
fumecheng-10736	401	14	a	a	DET
fumecheng-10736	401	15	rational	rational	ADJ
fumecheng-10736	401	16	response	response	NOUN
fumecheng-10736	401	17	of	of	ADP
fumecheng-10736	401	18	the	the	DET
fumecheng-10736	401	19	cantilever	cantilever	NOUN
fumecheng-10736	401	20	nanobeam	nanobeam	NOUN
fumecheng-10736	401	21	under	under	ADP
fumecheng-10736	401	22	the	the	DET
fumecheng-10736	401	23	pure	pure	ADJ
fumecheng-10736	401	24	-	-	PUNCT
fumecheng-10736	401	25	bending	bend	VERB
fumecheng-10736	401	26	state	state	NOUN
fumecheng-10736	401	27	while	while	SCONJ
fumecheng-10736	401	28	the	the	DET
fumecheng-10736	401	29	second	second	ADJ
fumecheng-10736	401	30	analysis	analysis	NOUN
fumecheng-10736	401	31	case	case	NOUN
fumecheng-10736	401	32	assesses	assess	VERB
fumecheng-10736	401	33	the	the	DET
fumecheng-10736	401	34	influence	influence	NOUN
fumecheng-10736	401	35	of	of	ADP
fumecheng-10736	401	36	system	system	NOUN
fumecheng-10736	401	37	parameters	parameter	NOUN
fumecheng-10736	401	38	on	on	ADP
fumecheng-10736	401	39	the	the	DET
fumecheng-10736	401	40	bending	bend	VERB
fumecheng-10736	401	41	response	response	NOUN
fumecheng-10736	401	42	of	of	ADP
fumecheng-10736	401	43	cantilever	cantilever	NOUN
fumecheng-10736	401	44	nanobeam	nanobeam	NOUN
fumecheng-10736	401	45	-	-	PUNCT
fumecheng-10736	401	46	substrate	substrate	NOUN
fumecheng-10736	401	47	medium	medium	ADJ
fumecheng-10736	401	48	systems	system	NOUN
fumecheng-10736	401	49	.	.	PUNCT
fumecheng-10736	402	1	7.1.1	7.1.1	X
fumecheng-10736	402	2	.	.	X
fumecheng-10736	402	3	analysis	analysis	NOUN
fumecheng-10736	402	4	case	case	NOUN
fumecheng-10736	402	5	i	i	PRON
fumecheng-10736	402	6	fig	fig	VERB
fumecheng-10736	402	7	.	.	PUNCT
fumecheng-10736	403	1	3	3	NUM
fumecheng-10736	403	2	shows	show	VERB
fumecheng-10736	403	3	a	a	DET
fumecheng-10736	403	4	lead	lead	NOUN
fumecheng-10736	403	5	cantilever	cantilever	NOUN
fumecheng-10736	403	6	nanobeam	nanobeam	NOUN
fumecheng-10736	403	7	of	of	ADP
fumecheng-10736	403	8	length	length	NOUN
fumecheng-10736	403	9	l	l	NOUN
fumecheng-10736	403	10	=	=	SYM
fumecheng-10736	403	11	1,000	1,000	NUM
fumecheng-10736	403	12	nm	nm	NOUN
fumecheng-10736	403	13	under	under	ADP
fumecheng-10736	403	14	an	an	DET
fumecheng-10736	403	15	end	end	NOUN
fumecheng-10736	403	16	moment	moment	NOUN
fumecheng-10736	403	17	m0	m0	NOUN
fumecheng-10736	403	18	of	of	ADP
fumecheng-10736	403	19	3,000	3,000	NUM
fumecheng-10736	403	20	nn	nn	PROPN
fumecheng-10736	403	21	-	-	PUNCT
fumecheng-10736	403	22	nm	nm	PROPN
fumecheng-10736	403	23	,	,	PUNCT
fumecheng-10736	403	24	thus	thus	ADV
fumecheng-10736	403	25	inducing	induce	VERB
fumecheng-10736	403	26	the	the	DET
fumecheng-10736	403	27	pure	pure	ADJ
fumecheng-10736	403	28	-	-	PUNCT
fumecheng-10736	403	29	bending	bend	VERB
fumecheng-10736	403	30	state	state	NOUN
fumecheng-10736	403	31	along	along	ADP
fumecheng-10736	403	32	the	the	DET
fumecheng-10736	403	33	whole	whole	ADJ
fumecheng-10736	403	34	length	length	NOUN
fumecheng-10736	403	35	.	.	PUNCT
fumecheng-10736	404	1	the	the	DET
fumecheng-10736	404	2	beam	beam	NOUN
fumecheng-10736	404	3	-	-	PUNCT
fumecheng-10736	404	4	section	section	NOUN
fumecheng-10736	404	5	shape	shape	NOUN
fumecheng-10736	404	6	is	be	AUX
fumecheng-10736	404	7	square	square	ADJ
fumecheng-10736	404	8	with	with	ADP
fumecheng-10736	404	9	a	a	DET
fumecheng-10736	404	10	dimension	dimension	NOUN
fumecheng-10736	404	11	h	h	NOUN
fumecheng-10736	404	12	of	of	ADP
fumecheng-10736	404	13	100	100	NUM
fumecheng-10736	404	14	nm	nm	NOUN
fumecheng-10736	404	15	,	,	PUNCT
fumecheng-10736	404	16	thus	thus	ADV
fumecheng-10736	404	17	a	a	DET
fumecheng-10736	404	18	=	=	SYM
fumecheng-10736	404	19	10x103	10x103	NUM
fumecheng-10736	405	1	nm2	nm2	NOUN
fumecheng-10736	405	2	,	,	PUNCT
fumecheng-10736	405	3	i	i	PRON
fumecheng-10736	405	4	=	=	NOUN
fumecheng-10736	405	5	8.333x106	8.333x106	NUM
fumecheng-10736	405	6	nm4	nm4	NOUN
fumecheng-10736	405	7	,	,	PUNCT
fumecheng-10736	405	8	iг	iг	NOUN
fumecheng-10736	405	9	=	=	SYM
fumecheng-10736	405	10	6.667x105	6.667x105	NUM
fumecheng-10736	405	11	nm3	nm3	NOUN
fumecheng-10736	405	12	,	,	PUNCT
fumecheng-10736	405	13	and	and	CCONJ
fumecheng-10736	405	14	sг	sг	NOUN
fumecheng-10736	405	15	=	=	NUM
fumecheng-10736	405	16	200	200	NUM
fumecheng-10736	405	17	nm	nm	NOUN
fumecheng-10736	405	18	.	.	PUNCT
fumecheng-10736	406	1	only	only	ADV
fumecheng-10736	406	2	the	the	DET
fumecheng-10736	406	3	material	material	ADJ
fumecheng-10736	406	4	small	small	ADJ
fumecheng-10736	406	5	-	-	PUNCT
fumecheng-10736	406	6	scale	scale	NOUN
fumecheng-10736	406	7	effect	effect	NOUN
fumecheng-10736	406	8	is	be	AUX
fumecheng-10736	406	9	considered	consider	VERB
fumecheng-10736	406	10	in	in	ADP
fumecheng-10736	406	11	this	this	DET
fumecheng-10736	406	12	analysis	analysis	NOUN
fumecheng-10736	406	13	case	case	NOUN
fumecheng-10736	406	14	.	.	PUNCT
fumecheng-10736	407	1	therefore	therefore	ADV
fumecheng-10736	407	2	,	,	PUNCT
fumecheng-10736	407	3	the	the	DET
fumecheng-10736	407	4	system	system	NOUN
fumecheng-10736	407	5	parameters	parameter	NOUN
fumecheng-10736	407	6	associated	associate	VERB
fumecheng-10736	407	7	with	with	ADP
fumecheng-10736	407	8	the	the	DET
fumecheng-10736	407	9	underlying	underlie	VERB
fumecheng-10736	407	10	substrate	substrate	NOUN
fumecheng-10736	407	11	medium	medium	NOUN
fumecheng-10736	407	12	and	and	CCONJ
fumecheng-10736	407	13	the	the	DET
fumecheng-10736	407	14	surface	surface	NOUN
fumecheng-10736	407	15	energy	energy	NOUN
fumecheng-10736	407	16	vanish	vanish	NOUN
fumecheng-10736	407	17	(	(	PUNCT
fumecheng-10736	407	18	kes	kes	PROPN
fumecheng-10736	407	19	=	=	SYM
fumecheng-10736	407	20	sur	sur	PROPN
fumecheng-10736	407	21	xxe	xxe	PROPN
fumecheng-10736	407	22	=	=	PROPN
fumecheng-10736	407	23	sur	sur	PROPN
fumecheng-10736	407	24	res	res	NOUN
fumecheng-10736	407	25	=	=	SYM
fumecheng-10736	407	26	0	0	NUM
fumecheng-10736	407	27	)	)	PUNCT
fumecheng-10736	407	28	.	.	PUNCT
fumecheng-10736	408	1	this	this	DET
fumecheng-10736	408	2	cantilever	cantilever	NOUN
fumecheng-10736	408	3	nanobeam	nanobeam	NOUN
fumecheng-10736	408	4	is	be	AUX
fumecheng-10736	408	5	used	use	VERB
fumecheng-10736	408	6	to	to	PART
fumecheng-10736	408	7	demonstrate	demonstrate	VERB
fumecheng-10736	408	8	the	the	DET
fumecheng-10736	408	9	capability	capability	NOUN
fumecheng-10736	408	10	of	of	ADP
fumecheng-10736	408	11	the	the	DET
fumecheng-10736	408	12	proposed	propose	VERB
fumecheng-10736	408	13	nanobeam	nanobeam	NOUN
fumecheng-10736	408	14	model	model	NOUN
fumecheng-10736	408	15	in	in	ADP
fumecheng-10736	408	16	producing	produce	VERB
fumecheng-10736	408	17	the	the	DET
fumecheng-10736	408	18	small	small	ADJ
fumecheng-10736	408	19	-	-	PUNCT
fumecheng-10736	408	20	scale	scale	NOUN
fumecheng-10736	408	21	dependent	dependent	ADJ
fumecheng-10736	408	22	response	response	NOUN
fumecheng-10736	408	23	under	under	ADP
fumecheng-10736	408	24	the	the	DET
fumecheng-10736	408	25	pure	pure	ADJ
fumecheng-10736	408	26	-	-	PUNCT
fumecheng-10736	408	27	bending	bend	VERB
fumecheng-10736	408	28	state	state	NOUN
fumecheng-10736	408	29	.	.	PUNCT
fumecheng-10736	409	1	it	it	PRON
fumecheng-10736	409	2	is	be	AUX
fumecheng-10736	409	3	worth	worth	ADJ
fumecheng-10736	409	4	remarking	remark	VERB
fumecheng-10736	409	5	that	that	SCONJ
fumecheng-10736	409	6	the	the	DET
fumecheng-10736	409	7	eringen	eringen	ADJ
fumecheng-10736	409	8	nonlocal	nonlocal	ADJ
fumecheng-10736	409	9	beam	beam	NOUN
fumecheng-10736	409	10	model	model	NOUN
fumecheng-10736	409	11	of	of	ADP
fumecheng-10736	409	12	limkatanyu	limkatanyu	PROPN
fumecheng-10736	409	13	et	et	PROPN
fumecheng-10736	409	14	al	al	PROPN
fumecheng-10736	409	15	.	.	PUNCT
fumecheng-10736	410	1	[	[	X
fumecheng-10736	410	2	11	11	NUM
fumecheng-10736	410	3	]	]	PUNCT
fumecheng-10736	410	4	and	and	CCONJ
fumecheng-10736	410	5	the	the	DET
fumecheng-10736	410	6	simplified	simplified	ADJ
fumecheng-10736	410	7	strain	strain	NOUN
fumecheng-10736	410	8	-	-	PUNCT
fumecheng-10736	410	9	gradient	gradient	NOUN
fumecheng-10736	410	10	beam	beam	NOUN
fumecheng-10736	410	11	model	model	NOUN
fumecheng-10736	410	12	of	of	ADP
fumecheng-10736	410	13	sae	sae	PROPN
fumecheng-10736	410	14	-	-	PROPN
fumecheng-10736	410	15	long	long	ADJ
fumecheng-10736	410	16	et	et	PROPN
fumecheng-10736	410	17	al	al	PROPN
fumecheng-10736	410	18	.	.	PUNCT
fumecheng-10736	411	1	[	[	X
fumecheng-10736	411	2	38	38	NUM
fumecheng-10736	411	3	]	]	PUNCT
fumecheng-10736	411	4	fail	fail	VERB
fumecheng-10736	411	5	to	to	PART
fumecheng-10736	411	6	represent	represent	VERB
fumecheng-10736	411	7	such	such	DET
fumecheng-10736	411	8	a	a	DET
fumecheng-10736	411	9	smallscale	smallscale	ADJ
fumecheng-10736	411	10	dependent	dependent	ADJ
fumecheng-10736	411	11	response	response	NOUN
fumecheng-10736	411	12	under	under	ADP
fumecheng-10736	411	13	the	the	DET
fumecheng-10736	411	14	pure	pure	ADJ
fumecheng-10736	411	15	-	-	PUNCT
fumecheng-10736	411	16	bending	bend	VERB
fumecheng-10736	411	17	state	state	NOUN
fumecheng-10736	411	18	.	.	PUNCT
fumecheng-10736	412	1	therefore	therefore	ADV
fumecheng-10736	412	2	,	,	PUNCT
fumecheng-10736	412	3	the	the	DET
fumecheng-10736	412	4	cantilever	cantilever	ADJ
fumecheng-10736	412	5	nanobeam	nanobeam	NOUN
fumecheng-10736	412	6	of	of	ADP
fumecheng-10736	412	7	fig	fig	NOUN
fumecheng-10736	412	8	.	.	PUNCT
fumecheng-10736	413	1	3	3	NUM
fumecheng-10736	413	2	is	be	AUX
fumecheng-10736	413	3	also	also	ADV
fumecheng-10736	413	4	analysed	analyse	VERB
fumecheng-10736	413	5	by	by	ADP
fumecheng-10736	413	6	these	these	DET
fumecheng-10736	413	7	two	two	NUM
fumecheng-10736	413	8	beam	beam	NOUN
fumecheng-10736	413	9	models	model	NOUN
fumecheng-10736	413	10	to	to	PART
fumecheng-10736	413	11	confirm	confirm	VERB
fumecheng-10736	413	12	the	the	DET
fumecheng-10736	413	13	ability	ability	NOUN
fumecheng-10736	413	14	of	of	ADP
fumecheng-10736	413	15	the	the	DET
fumecheng-10736	413	16	proposed	propose	VERB
fumecheng-10736	413	17	model	model	NOUN
fumecheng-10736	413	18	to	to	PART
fumecheng-10736	413	19	suppress	suppress	VERB
fumecheng-10736	413	20	the	the	DET
fumecheng-10736	413	21	paradoxical	paradoxical	ADJ
fumecheng-10736	413	22	behaviour	behaviour	NOUN
fumecheng-10736	413	23	.	.	PUNCT
fumecheng-10736	414	1	the	the	DET
fumecheng-10736	414	2	material	material	NOUN
fumecheng-10736	414	3	length	length	NOUN
fumecheng-10736	414	4	-	-	PUNCT
fumecheng-10736	414	5	scale	scale	NOUN
fumecheng-10736	414	6	parameters	parameter	NOUN
fumecheng-10736	414	7	associated	associate	VERB
fumecheng-10736	414	8	with	with	ADP
fumecheng-10736	414	9	the	the	DET
fumecheng-10736	414	10	strain	strain	NOUN
fumecheng-10736	414	11	-	-	PUNCT
fumecheng-10736	414	12	gradient	gradient	NOUN
fumecheng-10736	414	13	effect	effect	NOUN
fumecheng-10736	414	14	and	and	CCONJ
fumecheng-10736	414	15	the	the	DET
fumecheng-10736	414	16	couple	couple	NOUN
fumecheng-10736	414	17	-	-	PUNCT
fumecheng-10736	414	18	stress	stress	NOUN
fumecheng-10736	414	19	effect	effect	NOUN
fumecheng-10736	414	20	are	be	AUX
fumecheng-10736	414	21	set	set	VERB
fumecheng-10736	414	22	to	to	PART
fumecheng-10736	414	23	be	be	AUX
fumecheng-10736	414	24	identical	identical	ADJ
fumecheng-10736	414	25	(	(	PUNCT
fumecheng-10736	414	26	ls	ls	PROPN
fumecheng-10736	414	27	=	=	NOUN
fumecheng-10736	414	28	lm	lm	PROPN
fumecheng-10736	414	29	)	)	PUNCT
fumecheng-10736	414	30	and	and	CCONJ
fumecheng-10736	414	31	are	be	AUX
fumecheng-10736	414	32	varied	varied	ADJ
fumecheng-10736	414	33	through	through	ADP
fumecheng-10736	414	34	the	the	DET
fumecheng-10736	414	35	following	follow	VERB
fumecheng-10736	414	36	relations	relation	NOUN
fumecheng-10736	414	37	:	:	PUNCT
fumecheng-10736	414	38	576	576	NUM
fumecheng-10736	414	39	s.	s.	PROPN
fumecheng-10736	414	40	limkatanyu	limkatanyu	PROPN
fumecheng-10736	414	41	,	,	PUNCT
fumecheng-10736	414	42	w.	w.	PROPN
fumecheng-10736	414	43	sae	sae	PROPN
fumecheng-10736	414	44	-	-	PROPN
fumecheng-10736	414	45	long	long	ADV
fumecheng-10736	414	46	,	,	PUNCT
fumecheng-10736	414	47	j.	j.	PROPN
fumecheng-10736	414	48	rungamornrat	rungamornrat	PROPN
fumecheng-10736	414	49	,	,	PUNCT
fumecheng-10736	414	50	et	et	PROPN
fumecheng-10736	414	51	al	al	PROPN
fumecheng-10736	414	52	.	.	PUNCT
fumecheng-10736	415	1	s	s	PART
fumecheng-10736	415	2	s	s	NOUN
fumecheng-10736	415	3	h	h	NOUN
fumecheng-10736	415	4	l	l	NOUN
fumecheng-10736	415	5			NOUN
fumecheng-10736	415	6	=	=	SYM
fumecheng-10736	415	7	and	and	CCONJ
fumecheng-10736	415	8	m	m	VERB
fumecheng-10736	415	9	m	m	VERB
fumecheng-10736	415	10	h	h	NOUN
fumecheng-10736	415	11	l	l	NOUN
fumecheng-10736	415	12			NOUN
fumecheng-10736	415	13	=	=	SYM
fumecheng-10736	415	14	(	(	PUNCT
fumecheng-10736	415	15	51	51	NUM
fumecheng-10736	415	16	)	)	PUNCT
fumecheng-10736	415	17	where	where	SCONJ
fumecheng-10736	415	18	ξs	ξs	VERB
fumecheng-10736	415	19	and	and	CCONJ
fumecheng-10736	415	20	ξm	ξm	PROPN
fumecheng-10736	415	21	are	be	AUX
fumecheng-10736	415	22	,	,	PUNCT
fumecheng-10736	415	23	respectively	respectively	ADV
fumecheng-10736	415	24	,	,	PUNCT
fumecheng-10736	415	25	the	the	DET
fumecheng-10736	415	26	normalized	normalize	VERB
fumecheng-10736	415	27	material	material	NOUN
fumecheng-10736	415	28	length	length	NOUN
fumecheng-10736	415	29	-	-	PUNCT
fumecheng-10736	415	30	scale	scale	NOUN
fumecheng-10736	415	31	parameters	parameter	NOUN
fumecheng-10736	415	32	associated	associate	VERB
fumecheng-10736	415	33	with	with	ADP
fumecheng-10736	415	34	the	the	DET
fumecheng-10736	415	35	strain	strain	NOUN
fumecheng-10736	415	36	-	-	PUNCT
fumecheng-10736	415	37	gradient	gradient	NOUN
fumecheng-10736	415	38	effect	effect	NOUN
fumecheng-10736	415	39	and	and	CCONJ
fumecheng-10736	415	40	the	the	DET
fumecheng-10736	415	41	couple	couple	NOUN
fumecheng-10736	415	42	-	-	PUNCT
fumecheng-10736	415	43	stress	stress	NOUN
fumecheng-10736	415	44	effect	effect	NOUN
fumecheng-10736	415	45	and	and	CCONJ
fumecheng-10736	415	46	range	range	VERB
fumecheng-10736	415	47	from	from	ADP
fumecheng-10736	415	48	0	0	NUM
fumecheng-10736	415	49	to	to	ADP
fumecheng-10736	415	50	2	2	NUM
fumecheng-10736	415	51	.	.	PUNCT
fumecheng-10736	416	1	1,000l	1,000l	NUM
fumecheng-10736	416	2	nm=	nm=	NOUN
fumecheng-10736	416	3	(	(	PUNCT
fumecheng-10736	416	4	)	)	PUNCT
fumecheng-10736	416	5	0,y	0,y	NOUN
fumecheng-10736	416	6	v	v	NOUN
fumecheng-10736	416	7	x	x	SYM
fumecheng-10736	416	8	x	x	SYM
fumecheng-10736	416	9	0	0	NUM
fumecheng-10736	416	10	3,000	3,000	NUM
fumecheng-10736	416	11	m	m	NUM
fumecheng-10736	416	12	nn	nn	ADJ
fumecheng-10736	416	13	nm=	nm=	PROPN
fumecheng-10736	416	14	−	−	PROPN
fumecheng-10736	416	15	z	z	NOUN
fumecheng-10736	416	16	y	y	PROPN
fumecheng-10736	416	17	beam	beam	PROPN
fumecheng-10736	416	18	section	section	NOUN
fumecheng-10736	416	19	h	h	PROPN
fumecheng-10736	416	20	h	h	NOUN
fumecheng-10736	416	21	4	4	NUM
fumecheng-10736	416	22	3	3	NUM
fumecheng-10736	416	23	2	2	NUM
fumecheng-10736	416	24	2	2	NUM
fumecheng-10736	416	25	;	;	PUNCT
fumecheng-10736	416	26	;	;	PUNCT
fumecheng-10736	416	27	;	;	PUNCT
fumecheng-10736	416	28	2	2	NUM
fumecheng-10736	416	29	12	12	NUM
fumecheng-10736	416	30	3	3	NUM
fumecheng-10736	416	31	h	h	NOUN
fumecheng-10736	416	32	h	h	NOUN
fumecheng-10736	417	1	a	a	DET
fumecheng-10736	417	2	h	h	NOUN
fumecheng-10736	418	1	i	i	PRON
fumecheng-10736	418	2	i	i	PRON
fumecheng-10736	418	3	s	s	VERB
fumecheng-10736	418	4	h	h	NOUN
fumecheng-10736	418	5	=	=	ADV
fumecheng-10736	418	6	=	=	PUNCT
fumecheng-10736	418	7	=	=	SYM
fumecheng-10736	418	8	=	=	PUNCT
fumecheng-10736	418	9	fig	fig	NOUN
fumecheng-10736	418	10	.	.	PUNCT
fumecheng-10736	419	1	3	3	NUM
fumecheng-10736	419	2	simulation	simulation	NOUN
fumecheng-10736	419	3	i	i	PRON
fumecheng-10736	419	4	:	:	PUNCT
fumecheng-10736	419	5	bending	bend	VERB
fumecheng-10736	419	6	analysis	analysis	NOUN
fumecheng-10736	419	7	case	case	NOUN
fumecheng-10736	419	8	i	i	PRON
fumecheng-10736	419	9	the	the	DET
fumecheng-10736	419	10	transverse	transverse	ADJ
fumecheng-10736	419	11	-	-	PUNCT
fumecheng-10736	419	12	displacement	displacement	NOUN
fumecheng-10736	419	13	responses	response	NOUN
fumecheng-10736	419	14	associated	associate	VERB
fumecheng-10736	419	15	with	with	ADP
fumecheng-10736	419	16	all	all	DET
fumecheng-10736	419	17	beam	beam	NOUN
fumecheng-10736	419	18	models	model	NOUN
fumecheng-10736	419	19	are	be	AUX
fumecheng-10736	419	20	superimposed	superimpose	VERB
fumecheng-10736	419	21	in	in	ADP
fumecheng-10736	419	22	fig	fig	NOUN
fumecheng-10736	419	23	.	.	PUNCT
fumecheng-10736	420	1	4	4	X
fumecheng-10736	420	2	.	.	X
fumecheng-10736	420	3	obviously	obviously	ADV
fumecheng-10736	420	4	,	,	PUNCT
fumecheng-10736	420	5	the	the	DET
fumecheng-10736	420	6	transverse	transverse	ADJ
fumecheng-10736	420	7	-	-	PUNCT
fumecheng-10736	420	8	displacement	displacement	ADJ
fumecheng-10736	420	9	response	response	NOUN
fumecheng-10736	420	10	obtained	obtain	VERB
fumecheng-10736	420	11	with	with	ADP
fumecheng-10736	420	12	the	the	DET
fumecheng-10736	420	13	local	local	ADJ
fumecheng-10736	420	14	beam	beam	NOUN
fumecheng-10736	420	15	model	model	NOUN
fumecheng-10736	420	16	is	be	AUX
fumecheng-10736	420	17	identical	identical	ADJ
fumecheng-10736	420	18	to	to	ADP
fumecheng-10736	420	19	those	those	PRON
fumecheng-10736	420	20	obtained	obtain	VERB
fumecheng-10736	420	21	with	with	ADP
fumecheng-10736	420	22	the	the	DET
fumecheng-10736	420	23	eringen	eringen	ADJ
fumecheng-10736	420	24	nonlocal	nonlocal	ADJ
fumecheng-10736	420	25	beam	beam	NOUN
fumecheng-10736	420	26	model	model	NOUN
fumecheng-10736	420	27	of	of	ADP
fumecheng-10736	420	28	limkatanyu	limkatanyu	PROPN
fumecheng-10736	420	29	et	et	PROPN
fumecheng-10736	420	30	al	al	PROPN
fumecheng-10736	420	31	.	.	PUNCT
fumecheng-10736	421	1	[	[	X
fumecheng-10736	421	2	11	11	NUM
fumecheng-10736	421	3	]	]	PUNCT
fumecheng-10736	421	4	and	and	CCONJ
fumecheng-10736	421	5	the	the	DET
fumecheng-10736	421	6	simplified	simplified	ADJ
fumecheng-10736	421	7	strain	strain	NOUN
fumecheng-10736	421	8	-	-	PUNCT
fumecheng-10736	421	9	gradient	gradient	NOUN
fumecheng-10736	421	10	beam	beam	NOUN
fumecheng-10736	421	11	model	model	NOUN
fumecheng-10736	421	12	of	of	ADP
fumecheng-10736	421	13	saelong	saelong	PROPN
fumecheng-10736	421	14	et	et	PROPN
fumecheng-10736	421	15	al	al	PROPN
fumecheng-10736	421	16	.	.	PUNCT
fumecheng-10736	422	1	[	[	X
fumecheng-10736	422	2	38	38	NUM
fumecheng-10736	422	3	]	]	PUNCT
fumecheng-10736	422	4	regardless	regardless	ADV
fumecheng-10736	422	5	of	of	ADP
fumecheng-10736	422	6	their	their	PRON
fumecheng-10736	422	7	values	value	NOUN
fumecheng-10736	422	8	of	of	ADP
fumecheng-10736	422	9	material	material	ADJ
fumecheng-10736	422	10	length	length	NOUN
fumecheng-10736	422	11	-	-	PUNCT
fumecheng-10736	422	12	scale	scale	NOUN
fumecheng-10736	422	13	parameters	parameter	NOUN
fumecheng-10736	422	14	.	.	PUNCT
fumecheng-10736	423	1	this	this	DET
fumecheng-10736	423	2	observation	observation	NOUN
fumecheng-10736	423	3	confirms	confirm	VERB
fumecheng-10736	423	4	the	the	DET
fumecheng-10736	423	5	inability	inability	NOUN
fumecheng-10736	423	6	of	of	ADP
fumecheng-10736	423	7	these	these	DET
fumecheng-10736	423	8	two	two	NUM
fumecheng-10736	423	9	nanobeam	nanobeam	NOUN
fumecheng-10736	423	10	models	model	NOUN
fumecheng-10736	423	11	to	to	PART
fumecheng-10736	423	12	represent	represent	VERB
fumecheng-10736	423	13	the	the	DET
fumecheng-10736	423	14	material	material	ADJ
fumecheng-10736	423	15	small	small	ADJ
fumecheng-10736	423	16	-	-	PUNCT
fumecheng-10736	423	17	scale	scale	NOUN
fumecheng-10736	423	18	dependency	dependency	NOUN
fumecheng-10736	423	19	under	under	ADP
fumecheng-10736	423	20	the	the	DET
fumecheng-10736	423	21	pure	pure	ADJ
fumecheng-10736	423	22	-	-	PUNCT
fumecheng-10736	423	23	bending	bend	VERB
fumecheng-10736	423	24	state	state	NOUN
fumecheng-10736	423	25	as	as	SCONJ
fumecheng-10736	423	26	observed	observe	VERB
fumecheng-10736	423	27	in	in	ADP
fumecheng-10736	423	28	limkatanyu	limkatanyu	PROPN
fumecheng-10736	423	29	et	et	PROPN
fumecheng-10736	423	30	al	al	PROPN
fumecheng-10736	423	31	.	.	PUNCT
fumecheng-10736	424	1	[	[	X
fumecheng-10736	424	2	42	42	NUM
fumecheng-10736	424	3	]	]	PUNCT
fumecheng-10736	424	4	.	.	PUNCT
fumecheng-10736	425	1	the	the	DET
fumecheng-10736	425	2	peculiar	peculiar	ADJ
fumecheng-10736	425	3	transverse	transverse	ADJ
fumecheng-10736	425	4	-	-	PUNCT
fumecheng-10736	425	5	displacement	displacement	ADJ
fumecheng-10736	425	6	response	response	NOUN
fumecheng-10736	425	7	obtained	obtain	VERB
fumecheng-10736	425	8	with	with	ADP
fumecheng-10736	425	9	the	the	DET
fumecheng-10736	425	10	eringen	eringen	ADJ
fumecheng-10736	425	11	nonlocal	nonlocal	ADJ
fumecheng-10736	425	12	beam	beam	NOUN
fumecheng-10736	425	13	model	model	NOUN
fumecheng-10736	425	14	of	of	ADP
fumecheng-10736	425	15	limkatanyu	limkatanyu	PROPN
fumecheng-10736	425	16	et	et	PROPN
fumecheng-10736	425	17	al	al	PROPN
fumecheng-10736	425	18	.	.	PUNCT
fumecheng-10736	426	1	[	[	X
fumecheng-10736	426	2	11	11	NUM
fumecheng-10736	426	3	]	]	PUNCT
fumecheng-10736	426	4	stems	stem	VERB
fumecheng-10736	426	5	from	from	ADP
fumecheng-10736	426	6	the	the	DET
fumecheng-10736	426	7	fact	fact	NOUN
fumecheng-10736	426	8	that	that	SCONJ
fumecheng-10736	426	9	adoption	adoption	NOUN
fumecheng-10736	426	10	of	of	ADP
fumecheng-10736	426	11	the	the	DET
fumecheng-10736	426	12	eringen	eringen	ADJ
fumecheng-10736	426	13	nonlocal	nonlocal	ADJ
fumecheng-10736	426	14	differential	differential	NOUN
fumecheng-10736	426	15	form	form	NOUN
fumecheng-10736	426	16	leads	lead	VERB
fumecheng-10736	426	17	to	to	ADP
fumecheng-10736	426	18	an	an	DET
fumecheng-10736	426	19	ill	ill	ADV
fumecheng-10736	426	20	-	-	PUNCT
fumecheng-10736	426	21	posed	pose	VERB
fumecheng-10736	426	22	structural	structural	ADJ
fumecheng-10736	426	23	-	-	PUNCT
fumecheng-10736	426	24	mechanics	mechanic	NOUN
fumecheng-10736	426	25	problem	problem	NOUN
fumecheng-10736	426	26	[	[	X
fumecheng-10736	426	27	34	34	NUM
fumecheng-10736	426	28	,	,	PUNCT
fumecheng-10736	426	29	35	35	NUM
fumecheng-10736	426	30	,	,	PUNCT
fumecheng-10736	426	31	43	43	NUM
fumecheng-10736	426	32	]	]	PUNCT
fumecheng-10736	426	33	.	.	PUNCT
fumecheng-10736	427	1	employment	employment	NOUN
fumecheng-10736	427	2	of	of	ADP
fumecheng-10736	427	3	the	the	DET
fumecheng-10736	427	4	simplified	simplified	ADJ
fumecheng-10736	427	5	strain	strain	NOUN
fumecheng-10736	427	6	-	-	PUNCT
fumecheng-10736	427	7	gradient	gradient	NOUN
fumecheng-10736	427	8	model	model	NOUN
fumecheng-10736	427	9	leads	lead	VERB
fumecheng-10736	427	10	to	to	ADP
fumecheng-10736	427	11	a	a	DET
fumecheng-10736	427	12	well	well	ADV
fumecheng-10736	427	13	-	-	PUNCT
fumecheng-10736	427	14	posed	pose	VERB
fumecheng-10736	427	15	structural	structural	ADJ
fumecheng-10736	427	16	-	-	PUNCT
fumecheng-10736	427	17	mechanics	mechanic	NOUN
fumecheng-10736	427	18	problem	problem	NOUN
fumecheng-10736	427	19	[	[	X
fumecheng-10736	427	20	38	38	NUM
fumecheng-10736	427	21	]	]	PUNCT
fumecheng-10736	427	22	and	and	CCONJ
fumecheng-10736	427	23	is	be	AUX
fumecheng-10736	427	24	capable	capable	ADJ
fumecheng-10736	427	25	of	of	ADP
fumecheng-10736	427	26	remedying	remedy	VERB
fumecheng-10736	427	27	the	the	DET
fumecheng-10736	427	28	well	well	ADV
fumecheng-10736	427	29	-	-	PUNCT
fumecheng-10736	427	30	known	know	VERB
fumecheng-10736	427	31	paradoxical	paradoxical	ADJ
fumecheng-10736	427	32	response	response	NOUN
fumecheng-10736	427	33	of	of	ADP
fumecheng-10736	427	34	a	a	DET
fumecheng-10736	427	35	cantilever	cantilever	NOUN
fumecheng-10736	427	36	beam	beam	NOUN
fumecheng-10736	427	37	under	under	ADP
fumecheng-10736	427	38	an	an	DET
fumecheng-10736	427	39	end	end	NOUN
fumecheng-10736	427	40	load	load	NOUN
fumecheng-10736	427	41	[	[	X
fumecheng-10736	427	42	42	42	NUM
fumecheng-10736	427	43	]	]	PUNCT
fumecheng-10736	427	44	but	but	CCONJ
fumecheng-10736	427	45	fails	fail	VERB
fumecheng-10736	427	46	to	to	PART
fumecheng-10736	427	47	represent	represent	VERB
fumecheng-10736	427	48	the	the	DET
fumecheng-10736	427	49	small	small	ADJ
fumecheng-10736	427	50	-	-	PUNCT
fumecheng-10736	427	51	scale	scale	NOUN
fumecheng-10736	427	52	dependent	dependent	ADJ
fumecheng-10736	427	53	response	response	NOUN
fumecheng-10736	427	54	under	under	ADP
fumecheng-10736	427	55	the	the	DET
fumecheng-10736	427	56	pure	pure	ADJ
fumecheng-10736	427	57	-	-	PUNCT
fumecheng-10736	427	58	bending	bend	VERB
fumecheng-10736	427	59	state	state	NOUN
fumecheng-10736	427	60	.	.	PUNCT
fumecheng-10736	428	1	this	this	DET
fumecheng-10736	428	2	failure	failure	NOUN
fumecheng-10736	428	3	relies	rely	VERB
fumecheng-10736	428	4	on	on	ADP
fumecheng-10736	428	5	the	the	DET
fumecheng-10736	428	6	fact	fact	NOUN
fumecheng-10736	428	7	that	that	SCONJ
fumecheng-10736	428	8	only	only	ADV
fumecheng-10736	428	9	the	the	DET
fumecheng-10736	428	10	axial	axial	ADJ
fumecheng-10736	428	11	-	-	PUNCT
fumecheng-10736	428	12	strain	strain	NOUN
fumecheng-10736	428	13	gradient	gradient	NOUN
fumecheng-10736	428	14	(	(	PUNCT
fumecheng-10736	428	15	∂εxx/∂x	∂εxx/∂x	NOUN
fumecheng-10736	428	16	)	)	PUNCT
fumecheng-10736	428	17	along	along	ADP
fumecheng-10736	428	18	the	the	DET
fumecheng-10736	428	19	beam	beam	NOUN
fumecheng-10736	428	20	length	length	NOUN
fumecheng-10736	428	21	is	be	AUX
fumecheng-10736	428	22	accounted	account	VERB
fumecheng-10736	428	23	for	for	ADP
fumecheng-10736	428	24	in	in	ADP
fumecheng-10736	428	25	the	the	DET
fumecheng-10736	428	26	simplified	simplified	ADJ
fumecheng-10736	428	27	strain	strain	NOUN
fumecheng-10736	428	28	-	-	PUNCT
fumecheng-10736	428	29	gradient	gradient	NOUN
fumecheng-10736	428	30	beam	beam	NOUN
fumecheng-10736	428	31	model	model	NOUN
fumecheng-10736	428	32	of	of	ADP
fumecheng-10736	428	33	sae	sae	PROPN
fumecheng-10736	428	34	-	-	PROPN
fumecheng-10736	428	35	long	long	ADJ
fumecheng-10736	428	36	et	et	PROPN
fumecheng-10736	428	37	al	al	PROPN
fumecheng-10736	428	38	.	.	PUNCT
fumecheng-10736	429	1	[	[	X
fumecheng-10736	429	2	38	38	NUM
fumecheng-10736	429	3	]	]	PUNCT
fumecheng-10736	429	4	.	.	PUNCT
fumecheng-10736	430	1	nevertheless	nevertheless	ADV
fumecheng-10736	430	2	,	,	PUNCT
fumecheng-10736	430	3	the	the	DET
fumecheng-10736	430	4	pure	pure	ADJ
fumecheng-10736	430	5	-	-	PUNCT
fumecheng-10736	430	6	bending	bend	VERB
fumecheng-10736	430	7	state	state	NOUN
fumecheng-10736	430	8	induces	induce	VERB
fumecheng-10736	430	9	the	the	DET
fumecheng-10736	430	10	constant	constant	ADJ
fumecheng-10736	430	11	axial	axial	ADJ
fumecheng-10736	430	12	-	-	PUNCT
fumecheng-10736	430	13	strain	strain	NOUN
fumecheng-10736	430	14	variation	variation	NOUN
fumecheng-10736	430	15	along	along	ADP
fumecheng-10736	430	16	the	the	DET
fumecheng-10736	430	17	beam	beam	NOUN
fumecheng-10736	430	18	length	length	NOUN
fumecheng-10736	430	19	,	,	PUNCT
fumecheng-10736	430	20	thus	thus	ADV
fumecheng-10736	430	21	vanishing	vanish	VERB
fumecheng-10736	430	22	the	the	DET
fumecheng-10736	430	23	axial	axial	ADJ
fumecheng-10736	430	24	-	-	PUNCT
fumecheng-10736	430	25	strain	strain	NOUN
fumecheng-10736	430	26	gradient	gradient	NOUN
fumecheng-10736	430	27	(	(	PUNCT
fumecheng-10736	430	28	∂εxx/∂x	∂εxx/∂x	NOUN
fumecheng-10736	430	29	=	=	NOUN
fumecheng-10736	430	30	0	0	NUM
fumecheng-10736	430	31	)	)	PUNCT
fumecheng-10736	430	32	.	.	PUNCT
fumecheng-10736	431	1	in	in	ADP
fumecheng-10736	431	2	opposition	opposition	NOUN
fumecheng-10736	431	3	,	,	PUNCT
fumecheng-10736	431	4	the	the	DET
fumecheng-10736	431	5	proposed	propose	VERB
fumecheng-10736	431	6	nanobeam	nanobeam	NOUN
fumecheng-10736	431	7	model	model	NOUN
fumecheng-10736	431	8	is	be	AUX
fumecheng-10736	431	9	able	able	ADJ
fumecheng-10736	431	10	to	to	PART
fumecheng-10736	431	11	represent	represent	VERB
fumecheng-10736	431	12	the	the	DET
fumecheng-10736	431	13	material	material	ADJ
fumecheng-10736	431	14	small	small	ADJ
fumecheng-10736	431	15	-	-	PUNCT
fumecheng-10736	431	16	scale	scale	NOUN
fumecheng-10736	431	17	dependency	dependency	NOUN
fumecheng-10736	431	18	under	under	ADP
fumecheng-10736	431	19	pure	pure	ADJ
fumecheng-10736	431	20	bending	bending	NOUN
fumecheng-10736	431	21	and	and	CCONJ
fumecheng-10736	431	22	the	the	DET
fumecheng-10736	431	23	obtained	obtain	VERB
fumecheng-10736	431	24	transverse	transverse	ADJ
fumecheng-10736	431	25	-	-	PUNCT
fumecheng-10736	431	26	displacement	displacement	ADJ
fumecheng-10736	431	27	responses	response	NOUN
fumecheng-10736	431	28	become	become	VERB
fumecheng-10736	431	29	stiffer	stiff	ADJ
fumecheng-10736	431	30	with	with	ADP
fumecheng-10736	431	31	enlarging	enlarge	VERB
fumecheng-10736	431	32	values	value	NOUN
fumecheng-10736	431	33	of	of	ADP
fumecheng-10736	431	34	material	material	ADJ
fumecheng-10736	431	35	length	length	NOUN
fumecheng-10736	431	36	-	-	PUNCT
fumecheng-10736	431	37	scale	scale	NOUN
fumecheng-10736	431	38	parameters	parameter	NOUN
fumecheng-10736	431	39	.	.	PUNCT
fumecheng-10736	432	1	this	this	DET
fumecheng-10736	432	2	observation	observation	NOUN
fumecheng-10736	432	3	is	be	AUX
fumecheng-10736	432	4	confirmed	confirm	VERB
fumecheng-10736	432	5	with	with	ADP
fumecheng-10736	432	6	both	both	CCONJ
fumecheng-10736	432	7	experimental	experimental	ADJ
fumecheng-10736	432	8	evidence	evidence	NOUN
fumecheng-10736	432	9	[	[	X
fumecheng-10736	432	10	5	5	NUM
fumecheng-10736	432	11	,	,	PUNCT
fumecheng-10736	432	12	78	78	NUM
fumecheng-10736	432	13	]	]	PUNCT
fumecheng-10736	432	14	and	and	CCONJ
fumecheng-10736	432	15	analytical	analytical	ADJ
fumecheng-10736	432	16	results	result	NOUN
fumecheng-10736	432	17	[	[	X
fumecheng-10736	432	18	35	35	NUM
fumecheng-10736	432	19	,	,	PUNCT
fumecheng-10736	432	20	40	40	NUM
fumecheng-10736	432	21	-	-	SYM
fumecheng-10736	432	22	43	43	NUM
fumecheng-10736	432	23	]	]	PUNCT
fumecheng-10736	432	24	available	available	ADJ
fumecheng-10736	432	25	in	in	ADP
fumecheng-10736	432	26	literature	literature	NOUN
fumecheng-10736	432	27	.	.	PUNCT
fumecheng-10736	433	1	bending	bend	VERB
fumecheng-10736	433	2	,	,	PUNCT
fumecheng-10736	433	3	buckling	buckling	NOUN
fumecheng-10736	433	4	,	,	PUNCT
fumecheng-10736	433	5	and	and	CCONJ
fumecheng-10736	433	6	free	free	ADJ
fumecheng-10736	433	7	vibration	vibration	NOUN
fumecheng-10736	433	8	analyses	analysis	NOUN
fumecheng-10736	433	9	of	of	ADP
fumecheng-10736	433	10	nanobeam	nanobeam	ADJ
fumecheng-10736	433	11	-	-	PUNCT
fumecheng-10736	433	12	substrate	substrate	NOUN
fumecheng-10736	433	13	medium	medium	NOUN
fumecheng-10736	433	14	systems	system	NOUN
fumecheng-10736	433	15	577	577	NUM
fumecheng-10736	433	16	-12	-12	NOUN
fumecheng-10736	434	1	-9	-9	INTJ
fumecheng-10736	435	1	-6	-6	INTJ
fumecheng-10736	435	2	-3	-3	INTJ
fumecheng-10736	435	3	0	0	NUM
fumecheng-10736	435	4	0	0	NUM
fumecheng-10736	435	5	200	200	NUM
fumecheng-10736	435	6	400	400	NUM
fumecheng-10736	435	7	600	600	NUM
fumecheng-10736	435	8	800	800	NUM
fumecheng-10736	435	9	1,000	1,000	NUM
fumecheng-10736	435	10	distance	distance	NOUN
fumecheng-10736	435	11	along	along	ADP
fumecheng-10736	435	12	the	the	DET
fumecheng-10736	435	13	nanobeam	nanobeam	NOUN
fumecheng-10736	435	14	(	(	PUNCT
fumecheng-10736	435	15	nm	nm	NOUN
fumecheng-10736	435	16	)	)	PUNCT
fumecheng-10736	435	17	t	t	PROPN
fumecheng-10736	435	18	ra	ra	PROPN
fumecheng-10736	435	19	n	n	ADV
fumecheng-10736	435	20	sv	sv	INTJ
fumecheng-10736	435	21	er	er	INTJ
fumecheng-10736	435	22	se	se	PROPN
fumecheng-10736	435	23	d	d	PROPN
fumecheng-10736	435	24	is	be	AUX
fumecheng-10736	435	25	p	p	PROPN
fumecheng-10736	435	26	la	la	X
fumecheng-10736	435	27	ce	ce	PROPN
fumecheng-10736	435	28	m	m	PROPN
fumecheng-10736	435	29	en	en	PROPN
fumecheng-10736	435	30	t	t	PROPN
fumecheng-10736	435	31	(	(	PUNCT
fumecheng-10736	435	32	n	n	X
fumecheng-10736	435	33	m	m	VERB
fumecheng-10736	435	34	)	)	PUNCT
fumecheng-10736	435	35	proposed	propose	VERB
fumecheng-10736	435	36	model	model	NOUN
fumecheng-10736	435	37	(	(	PUNCT
fumecheng-10736	435	38	)	)	PUNCT
fumecheng-10736	435	39	0s	0	NOUN
fumecheng-10736	435	40	m	m	PUNCT
fumecheng-10736	435	41	=	=	NOUN
fumecheng-10736	435	42	=	=	PUNCT
fumecheng-10736	435	43	proposed	propose	VERB
fumecheng-10736	435	44	model	model	NOUN
fumecheng-10736	435	45	(	(	PUNCT
fumecheng-10736	435	46	)	)	PUNCT
fumecheng-10736	435	47	0.5s	0.5s	PROPN
fumecheng-10736	435	48	m	m	PUNCT
fumecheng-10736	435	49	=	=	NOUN
fumecheng-10736	435	50	=	=	PUNCT
fumecheng-10736	435	51	proposed	propose	VERB
fumecheng-10736	435	52	model	model	NOUN
fumecheng-10736	435	53	(	(	PUNCT
fumecheng-10736	435	54	)	)	PUNCT
fumecheng-10736	435	55	1s	1s	X
fumecheng-10736	435	56	m	m	PUNCT
fumecheng-10736	435	57	=	=	NOUN
fumecheng-10736	435	58	=	=	PUNCT
fumecheng-10736	435	59	proposed	propose	VERB
fumecheng-10736	435	60	model	model	NOUN
fumecheng-10736	435	61	(	(	PUNCT
fumecheng-10736	435	62	)	)	PUNCT
fumecheng-10736	435	63	2s	2s	PROPN
fumecheng-10736	435	64	m	m	PUNCT
fumecheng-10736	435	65	=	=	NOUN
fumecheng-10736	435	66	=	=	SYM
fumecheng-10736	435	67	simplified	simplify	VERB
fumecheng-10736	435	68	strain	strain	NOUN
fumecheng-10736	435	69	gradient	gradient	NOUN
fumecheng-10736	435	70	model	model	NOUN
fumecheng-10736	435	71	(	(	PUNCT
fumecheng-10736	435	72	)	)	PUNCT
fumecheng-10736	435	73	0for	0for	ADP
fumecheng-10736	435	74	all	all	PRON
fumecheng-10736	435	75	e	e	VERB
fumecheng-10736	435	76	a	a	DET
fumecheng-10736	435	77	eringen	eringen	ADJ
fumecheng-10736	435	78	nonlocal	nonlocal	ADJ
fumecheng-10736	435	79	model	model	NOUN
fumecheng-10736	435	80	(	(	PUNCT
fumecheng-10736	435	81	)	)	PUNCT
fumecheng-10736	435	82	0for	0for	ADP
fumecheng-10736	435	83	all	all	PRON
fumecheng-10736	435	84	e	e	ADP
fumecheng-10736	435	85	a	a	DET
fumecheng-10736	435	86	local	local	ADJ
fumecheng-10736	435	87	model	model	NOUN
fumecheng-10736	435	88	proposed	propose	VERB
fumecheng-10736	435	89	model	model	NOUN
fumecheng-10736	435	90	(	(	PUNCT
fumecheng-10736	435	91	)	)	PUNCT
fumecheng-10736	435	92	0.25s	0.25s	NUM
fumecheng-10736	435	93	m	m	PUNCT
fumecheng-10736	435	94	=	=	NOUN
fumecheng-10736	435	95	=	=	PUNCT
fumecheng-10736	435	96	fig	fig	NOUN
fumecheng-10736	435	97	.	.	PUNCT
fumecheng-10736	436	1	4	4	NUM
fumecheng-10736	436	2	transverse	transverse	NOUN
fumecheng-10736	436	3	displacement	displacement	NOUN
fumecheng-10736	436	4	versus	versus	ADP
fumecheng-10736	436	5	distance	distance	NOUN
fumecheng-10736	436	6	along	along	ADP
fumecheng-10736	436	7	nanobeam	nanobeam	NOUN
fumecheng-10736	436	8	of	of	ADP
fumecheng-10736	436	9	simulation	simulation	NOUN
fumecheng-10736	436	10	i	i	PRON
fumecheng-10736	436	11	for	for	ADP
fumecheng-10736	436	12	analysis	analysis	NOUN
fumecheng-10736	436	13	case	case	NOUN
fumecheng-10736	437	1	i	i	PRON
fumecheng-10736	437	2	7.1.2	7.1.2	X
fumecheng-10736	437	3	.	.	PUNCT
fumecheng-10736	438	1	analysis	analysis	NOUN
fumecheng-10736	438	2	case	case	NOUN
fumecheng-10736	438	3	ii	ii	PROPN
fumecheng-10736	438	4	fig	fig	NOUN
fumecheng-10736	438	5	.	.	PUNCT
fumecheng-10736	439	1	5	5	NUM
fumecheng-10736	439	2	shows	show	VERB
fumecheng-10736	439	3	a	a	DET
fumecheng-10736	439	4	lead	lead	NOUN
fumecheng-10736	439	5	cantilever	cantilever	NOUN
fumecheng-10736	439	6	nanobeam	nanobeam	NOUN
fumecheng-10736	439	7	-	-	PUNCT
fumecheng-10736	439	8	substrate	substrate	NOUN
fumecheng-10736	439	9	medium	medium	NOUN
fumecheng-10736	439	10	system	system	NOUN
fumecheng-10736	439	11	under	under	ADP
fumecheng-10736	439	12	an	an	DET
fumecheng-10736	439	13	end	end	NOUN
fumecheng-10736	439	14	moment	moment	NOUN
fumecheng-10736	439	15	m0	m0	NOUN
fumecheng-10736	439	16	of	of	ADP
fumecheng-10736	439	17	30,000	30,000	NUM
fumecheng-10736	439	18	nn	nn	PROPN
fumecheng-10736	439	19	-	-	PUNCT
fumecheng-10736	439	20	nm	nm	NOUN
fumecheng-10736	439	21	.	.	PUNCT
fumecheng-10736	439	22	geometric	geometric	ADJ
fumecheng-10736	439	23	and	and	CCONJ
fumecheng-10736	439	24	material	material	NOUN
fumecheng-10736	439	25	properties	property	NOUN
fumecheng-10736	439	26	of	of	ADP
fumecheng-10736	439	27	this	this	DET
fumecheng-10736	439	28	nanobeam	nanobeam	NOUN
fumecheng-10736	439	29	follow	follow	VERB
fumecheng-10736	439	30	those	those	PRON
fumecheng-10736	439	31	employed	employ	VERB
fumecheng-10736	439	32	in	in	ADP
fumecheng-10736	439	33	analysis	analysis	NOUN
fumecheng-10736	439	34	case	case	NOUN
fumecheng-10736	439	35	i.	i.	NOUN
fumecheng-10736	439	36	to	to	PART
fumecheng-10736	439	37	assess	assess	VERB
fumecheng-10736	439	38	the	the	DET
fumecheng-10736	439	39	influence	influence	NOUN
fumecheng-10736	439	40	of	of	ADP
fumecheng-10736	439	41	underlying	underlie	VERB
fumecheng-10736	439	42	substrate	substrate	NOUN
fumecheng-10736	439	43	media	medium	NOUN
fumecheng-10736	439	44	and	and	CCONJ
fumecheng-10736	439	45	surface	surface	NOUN
fumecheng-10736	439	46	-	-	PUNCT
fumecheng-10736	439	47	free	free	ADJ
fumecheng-10736	439	48	energy	energy	NOUN
fumecheng-10736	439	49	on	on	ADP
fumecheng-10736	439	50	the	the	DET
fumecheng-10736	439	51	bending	bend	VERB
fumecheng-10736	439	52	response	response	NOUN
fumecheng-10736	439	53	,	,	PUNCT
fumecheng-10736	439	54	the	the	DET
fumecheng-10736	439	55	nanobeam	nanobeam	ADJ
fumecheng-10736	439	56	-	-	PUNCT
fumecheng-10736	439	57	substrate	substrate	NOUN
fumecheng-10736	439	58	medium	medium	ADJ
fumecheng-10736	439	59	system	system	NOUN
fumecheng-10736	439	60	of	of	ADP
fumecheng-10736	439	61	fig	fig	NOUN
fumecheng-10736	439	62	.	.	PUNCT
fumecheng-10736	440	1	5	5	NUM
fumecheng-10736	440	2	is	be	AUX
fumecheng-10736	440	3	analyzed	analyze	VERB
fumecheng-10736	440	4	with	with	ADP
fumecheng-10736	440	5	various	various	ADJ
fumecheng-10736	440	6	values	value	NOUN
fumecheng-10736	440	7	of	of	ADP
fumecheng-10736	440	8	the	the	DET
fumecheng-10736	440	9	substrate	substrate	NOUN
fumecheng-10736	440	10	-	-	PUNCT
fumecheng-10736	440	11	medium	medium	NOUN
fumecheng-10736	440	12	stiffness	stiffness	NOUN
fumecheng-10736	440	13	kes	ke	NOUN
fumecheng-10736	440	14	and	and	CCONJ
fumecheng-10736	440	15	slenderness	slenderness	NOUN
fumecheng-10736	440	16	ratio	ratio	NOUN
fumecheng-10736	440	17	l	l	PROPN
fumecheng-10736	440	18	/	/	SYM
fumecheng-10736	440	19	h.	h.	NOUN
fumecheng-10736	440	20	three	three	NUM
fumecheng-10736	440	21	different	different	ADJ
fumecheng-10736	440	22	beam	beam	NOUN
fumecheng-10736	440	23	-	-	PUNCT
fumecheng-10736	440	24	bulk	bulk	ADJ
fumecheng-10736	440	25	constitutive	constitutive	ADJ
fumecheng-10736	440	26	models	model	NOUN
fumecheng-10736	440	27	are	be	AUX
fumecheng-10736	440	28	employed	employ	VERB
fumecheng-10736	440	29	in	in	ADP
fumecheng-10736	440	30	this	this	DET
fumecheng-10736	440	31	analysis	analysis	NOUN
fumecheng-10736	440	32	case	case	NOUN
fumecheng-10736	440	33	to	to	PART
fumecheng-10736	440	34	address	address	VERB
fumecheng-10736	440	35	the	the	DET
fumecheng-10736	440	36	material	material	ADJ
fumecheng-10736	440	37	small	small	ADJ
fumecheng-10736	440	38	-	-	PUNCT
fumecheng-10736	440	39	scale	scale	NOUN
fumecheng-10736	440	40	effect	effect	NOUN
fumecheng-10736	440	41	,	,	PUNCT
fumecheng-10736	440	42	namely	namely	ADV
fumecheng-10736	440	43	:	:	PUNCT
fumecheng-10736	440	44	(	(	PUNCT
fumecheng-10736	440	45	a	a	X
fumecheng-10736	440	46	)	)	PUNCT
fumecheng-10736	440	47	the	the	DET
fumecheng-10736	440	48	reformulated	reformulate	VERB
fumecheng-10736	440	49	strain	strain	NOUN
fumecheng-10736	440	50	-	-	PUNCT
fumecheng-10736	440	51	gradient	gradient	NOUN
fumecheng-10736	440	52	model	model	NOUN
fumecheng-10736	440	53	;	;	PUNCT
fumecheng-10736	440	54	(	(	PUNCT
fumecheng-10736	440	55	b	b	X
fumecheng-10736	440	56	)	)	PUNCT
fumecheng-10736	440	57	the	the	DET
fumecheng-10736	440	58	degenerated	degenerated	ADJ
fumecheng-10736	440	59	strain	strain	NOUN
fumecheng-10736	440	60	-	-	PUNCT
fumecheng-10736	440	61	gradient	gradient	NOUN
fumecheng-10736	440	62	model	model	NOUN
fumecheng-10736	440	63	;	;	PUNCT
fumecheng-10736	440	64	and	and	CCONJ
fumecheng-10736	440	65	(	(	PUNCT
fumecheng-10736	440	66	c	c	X
fumecheng-10736	440	67	)	)	PUNCT
fumecheng-10736	440	68	the	the	DET
fumecheng-10736	440	69	modified	modify	VERB
fumecheng-10736	440	70	couple	couple	NOUN
fumecheng-10736	440	71	-	-	PUNCT
fumecheng-10736	440	72	stress	stress	NOUN
fumecheng-10736	440	73	model	model	NOUN
fumecheng-10736	440	74	.	.	PUNCT
fumecheng-10736	441	1	it	it	PRON
fumecheng-10736	441	2	is	be	AUX
fumecheng-10736	441	3	worth	worth	ADJ
fumecheng-10736	441	4	mentioning	mention	VERB
fumecheng-10736	441	5	that	that	SCONJ
fumecheng-10736	441	6	the	the	DET
fumecheng-10736	441	7	reformulated	reformulate	VERB
fumecheng-10736	441	8	strain	strain	NOUN
fumecheng-10736	441	9	-	-	PUNCT
fumecheng-10736	441	10	gradient	gradient	NOUN
fumecheng-10736	441	11	model	model	NOUN
fumecheng-10736	441	12	embraces	embrace	VERB
fumecheng-10736	441	13	the	the	DET
fumecheng-10736	441	14	degenerated	degenerated	ADJ
fumecheng-10736	441	15	strain	strain	NOUN
fumecheng-10736	441	16	-	-	PUNCT
fumecheng-10736	441	17	gradient	gradient	NOUN
fumecheng-10736	441	18	model	model	NOUN
fumecheng-10736	441	19	(	(	PUNCT
fumecheng-10736	441	20	ls	ls	PROPN
fumecheng-10736	441	21	≠	≠	PROPN
fumecheng-10736	441	22	0	0	NUM
fumecheng-10736	441	23	and	and	CCONJ
fumecheng-10736	441	24	lm	lm	NOUN
fumecheng-10736	441	25	=	=	NOUN
fumecheng-10736	441	26	0	0	NUM
fumecheng-10736	441	27	)	)	PUNCT
fumecheng-10736	441	28	as	as	ADV
fumecheng-10736	441	29	well	well	ADV
fumecheng-10736	441	30	as	as	ADP
fumecheng-10736	441	31	the	the	DET
fumecheng-10736	441	32	modified	modify	VERB
fumecheng-10736	441	33	couple	couple	NOUN
fumecheng-10736	441	34	-	-	PUNCT
fumecheng-10736	441	35	stress	stress	NOUN
fumecheng-10736	441	36	model	model	NOUN
fumecheng-10736	441	37	(	(	PUNCT
fumecheng-10736	441	38	lm	lm	INTJ
fumecheng-10736	441	39	≠	≠	PROPN
fumecheng-10736	441	40	0	0	NUM
fumecheng-10736	441	41	and	and	CCONJ
fumecheng-10736	441	42	ls	ls	ADJ
fumecheng-10736	441	43	=	=	NOUN
fumecheng-10736	441	44	0	0	NUM
fumecheng-10736	441	45	)	)	PUNCT
fumecheng-10736	441	46	.	.	PUNCT
fumecheng-10736	442	1	z	z	NOUN
fumecheng-10736	442	2	y	y	PROPN
fumecheng-10736	442	3	beam	beam	PROPN
fumecheng-10736	442	4	section	section	NOUN
fumecheng-10736	442	5	h	h	PROPN
fumecheng-10736	442	6	h	h	NOUN
fumecheng-10736	442	7	4	4	NUM
fumecheng-10736	442	8	3	3	NUM
fumecheng-10736	442	9	2	2	NUM
fumecheng-10736	442	10	2	2	NUM
fumecheng-10736	442	11	;	;	PUNCT
fumecheng-10736	442	12	;	;	PUNCT
fumecheng-10736	442	13	;	;	PUNCT
fumecheng-10736	442	14	2	2	NUM
fumecheng-10736	442	15	12	12	NUM
fumecheng-10736	442	16	3	3	NUM
fumecheng-10736	442	17	h	h	NOUN
fumecheng-10736	442	18	h	h	NOUN
fumecheng-10736	443	1	a	a	DET
fumecheng-10736	443	2	h	h	NOUN
fumecheng-10736	444	1	i	i	PRON
fumecheng-10736	444	2	i	i	PRON
fumecheng-10736	444	3	s	s	VERB
fumecheng-10736	444	4	h	h	NOUN
fumecheng-10736	444	5	=	=	ADV
fumecheng-10736	444	6	=	=	PUNCT
fumecheng-10736	444	7	=	=	SYM
fumecheng-10736	444	8	=	=	SYM
fumecheng-10736	445	1	1,000l	1,000l	NUM
fumecheng-10736	445	2	nm=	nm=	NOUN
fumecheng-10736	445	3	(	(	PUNCT
fumecheng-10736	445	4	)	)	PUNCT
fumecheng-10736	445	5	0,y	0,y	NOUN
fumecheng-10736	445	6	v	v	NOUN
fumecheng-10736	445	7	x	x	SYM
fumecheng-10736	445	8	x	x	SYM
fumecheng-10736	445	9	0	0	NUM
fumecheng-10736	445	10	30,000	30,000	NUM
fumecheng-10736	445	11	m	m	NUM
fumecheng-10736	445	12	nn	nn	X
fumecheng-10736	445	13	nm=	nm=	PROPN
fumecheng-10736	445	14	−	−	PROPN
fumecheng-10736	445	15	fig	fig	NOUN
fumecheng-10736	445	16	.	.	PUNCT
fumecheng-10736	446	1	5	5	NUM
fumecheng-10736	446	2	simulation	simulation	NOUN
fumecheng-10736	446	3	i	i	PRON
fumecheng-10736	446	4	:	:	PUNCT
fumecheng-10736	446	5	bending	bend	VERB
fumecheng-10736	446	6	analysis	analysis	NOUN
fumecheng-10736	446	7	case	case	NOUN
fumecheng-10736	446	8	ii	ii	PROPN
fumecheng-10736	446	9	578	578	NUM
fumecheng-10736	446	10	s.	s.	PROPN
fumecheng-10736	446	11	limkatanyu	limkatanyu	PROPN
fumecheng-10736	446	12	,	,	PUNCT
fumecheng-10736	446	13	w.	w.	PROPN
fumecheng-10736	446	14	sae	sae	PROPN
fumecheng-10736	446	15	-	-	PROPN
fumecheng-10736	446	16	long	long	ADV
fumecheng-10736	446	17	,	,	PUNCT
fumecheng-10736	446	18	j.	j.	PROPN
fumecheng-10736	446	19	rungamornrat	rungamornrat	PROPN
fumecheng-10736	446	20	,	,	PUNCT
fumecheng-10736	446	21	et	et	PROPN
fumecheng-10736	446	22	al	al	PROPN
fumecheng-10736	446	23	.	.	PROPN
fumecheng-10736	446	24	fig	fig	PROPN
fumecheng-10736	446	25	.	.	PUNCT
fumecheng-10736	447	1	6(a	6(a	NUM
fumecheng-10736	447	2	)	)	PUNCT
fumecheng-10736	447	3	compares	compare	VERB
fumecheng-10736	447	4	the	the	DET
fumecheng-10736	447	5	variation	variation	NOUN
fumecheng-10736	447	6	of	of	ADP
fumecheng-10736	447	7	the	the	DET
fumecheng-10736	447	8	normalized	normalize	VERB
fumecheng-10736	447	9	end	end	NOUN
fumecheng-10736	447	10	displacement	displacement	NOUN
fumecheng-10736	447	11	/	/	SYM
fumecheng-10736	447	12	local	local	ADJ
fumecheng-10736	447	13	v	v	NOUN
fumecheng-10736	447	14	end	end	NOUN
fumecheng-10736	447	15	endv	endv	PROPN
fumecheng-10736	447	16	v	v	PUNCT
fumecheng-10736	448	1	=	=	PUNCT
fumecheng-10736	448	2	with	with	ADP
fumecheng-10736	448	3	the	the	DET
fumecheng-10736	448	4	non	non	ADJ
fumecheng-10736	448	5	-	-	ADJ
fumecheng-10736	448	6	dimensional	dimensional	ADJ
fumecheng-10736	448	7	substrate	substrate	NOUN
fumecheng-10736	448	8	-	-	PUNCT
fumecheng-10736	448	9	medium	medium	NOUN
fumecheng-10736	448	10	stiffness	stiffness	NOUN
fumecheng-10736	448	11	esk	esk	NOUN
fumecheng-10736	448	12			PROPN
fumecheng-10736	448	13	=	=	PUNCT
fumecheng-10736	448	14	kesl4/(exxi	kesl4/(exxi	PROPN
fumecheng-10736	448	15	)	)	PUNCT
fumecheng-10736	448	16	obtained	obtain	VERB
fumecheng-10736	448	17	from	from	ADP
fumecheng-10736	448	18	all	all	DET
fumecheng-10736	448	19	nanobeam	nanobeam	NOUN
fumecheng-10736	448	20	models	model	NOUN
fumecheng-10736	448	21	.	.	PUNCT
fumecheng-10736	449	1	the	the	DET
fumecheng-10736	449	2	non	non	ADJ
fumecheng-10736	449	3	-	-	ADJ
fumecheng-10736	449	4	dimensional	dimensional	ADJ
fumecheng-10736	449	5	substrate	substrate	NOUN
fumecheng-10736	449	6	-	-	PUNCT
fumecheng-10736	449	7	medium	medium	NOUN
fumecheng-10736	449	8	stiffness	stiffness	NOUN
fumecheng-10736	449	9	esk	esk	NOUN
fumecheng-10736	449	10			PROPN
fumecheng-10736	449	11	varies	vary	VERB
fumecheng-10736	449	12	from	from	ADP
fumecheng-10736	449	13	1	1	NUM
fumecheng-10736	449	14	to	to	PART
fumecheng-10736	449	15	100	100	NUM
fumecheng-10736	449	16	while	while	SCONJ
fumecheng-10736	449	17	the	the	DET
fumecheng-10736	449	18	beam	beam	NOUN
fumecheng-10736	449	19	depth	depth	NOUN
fumecheng-10736	449	20	h	h	NOUN
fumecheng-10736	449	21	is	be	AUX
fumecheng-10736	449	22	kept	keep	VERB
fumecheng-10736	449	23	constant	constant	ADJ
fumecheng-10736	449	24	at	at	ADP
fumecheng-10736	449	25	100	100	NUM
fumecheng-10736	449	26	nm	nm	NOUN
fumecheng-10736	449	27	.	.	PUNCT
fumecheng-10736	450	1	this	this	DET
fumecheng-10736	450	2	range	range	NOUN
fumecheng-10736	450	3	of	of	ADP
fumecheng-10736	450	4	the	the	DET
fumecheng-10736	450	5	nondimensional	nondimensional	ADJ
fumecheng-10736	450	6	substrate	substrate	NOUN
fumecheng-10736	450	7	-	-	PUNCT
fumecheng-10736	450	8	medium	medium	NOUN
fumecheng-10736	450	9	stiffness	stiffness	NOUN
fumecheng-10736	450	10	esk	esk	NOUN
fumecheng-10736	450	11			ADV
fumecheng-10736	450	12	follows	follow	VERB
fumecheng-10736	450	13	that	that	SCONJ
fumecheng-10736	450	14	employed	employ	VERB
fumecheng-10736	450	15	by	by	ADP
fumecheng-10736	450	16	demir	demir	PROPN
fumecheng-10736	450	17	et	et	PROPN
fumecheng-10736	450	18	al	al	PROPN
fumecheng-10736	450	19	.	.	PUNCT
fumecheng-10736	451	1	[	[	X
fumecheng-10736	451	2	18	18	NUM
fumecheng-10736	451	3	]	]	PUNCT
fumecheng-10736	451	4	.	.	PUNCT
fumecheng-10736	452	1	the	the	DET
fumecheng-10736	452	2	normalized	normalize	VERB
fumecheng-10736	452	3	material	material	ADJ
fumecheng-10736	452	4	-	-	PUNCT
fumecheng-10736	452	5	length	length	NOUN
fumecheng-10736	452	6	scale	scale	NOUN
fumecheng-10736	452	7	parameters	parameter	NOUN
fumecheng-10736	452	8	are	be	AUX
fumecheng-10736	452	9	kept	keep	VERB
fumecheng-10736	452	10	constant	constant	ADJ
fumecheng-10736	452	11	at	at	ADP
fumecheng-10736	452	12	ξs	ξs	NOUN
fumecheng-10736	452	13	=	=	SYM
fumecheng-10736	452	14	1	1	NUM
fumecheng-10736	452	15	and	and	CCONJ
fumecheng-10736	452	16	ξm	ξm	X
fumecheng-10736	452	17	=	=	SYM
fumecheng-10736	452	18	1	1	X
fumecheng-10736	452	19	.	.	PUNCT
fumecheng-10736	453	1	clearly	clearly	ADV
fumecheng-10736	453	2	,	,	PUNCT
fumecheng-10736	453	3	the	the	DET
fumecheng-10736	453	4	material	material	ADJ
fumecheng-10736	453	5	small	small	ADJ
fumecheng-10736	453	6	-	-	PUNCT
fumecheng-10736	453	7	scale	scale	NOUN
fumecheng-10736	453	8	effect	effect	NOUN
fumecheng-10736	453	9	and	and	CCONJ
fumecheng-10736	453	10	the	the	DET
fumecheng-10736	453	11	surface	surface	NOUN
fumecheng-10736	453	12	-	-	PUNCT
fumecheng-10736	453	13	energy	energy	NOUN
fumecheng-10736	453	14	effect	effect	NOUN
fumecheng-10736	453	15	consistently	consistently	ADV
fumecheng-10736	453	16	stiffen	stiffen	VERB
fumecheng-10736	453	17	the	the	DET
fumecheng-10736	453	18	system	system	NOUN
fumecheng-10736	453	19	response	response	NOUN
fumecheng-10736	453	20	(	(	PUNCT
fumecheng-10736	453	21	ξv	ξv	X
fumecheng-10736	453	22	<	<	X
fumecheng-10736	453	23	1	1	NUM
fumecheng-10736	453	24	)	)	PUNCT
fumecheng-10736	453	25	especially	especially	ADV
fumecheng-10736	453	26	for	for	ADP
fumecheng-10736	453	27	lower	low	ADJ
fumecheng-10736	453	28	values	value	NOUN
fumecheng-10736	453	29	of	of	ADP
fumecheng-10736	453	30	non	non	ADJ
fumecheng-10736	453	31	-	-	ADJ
fumecheng-10736	453	32	dimensional	dimensional	ADJ
fumecheng-10736	453	33	substratemedium	substratemedium	NOUN
fumecheng-10736	453	34	stiffness	stiffness	NOUN
fumecheng-10736	453	35	(	(	PUNCT
fumecheng-10736	453	36	softer	soft	ADJ
fumecheng-10736	453	37	substrate	substrate	NOUN
fumecheng-10736	453	38	media	medium	NOUN
fumecheng-10736	453	39	)	)	PUNCT
fumecheng-10736	453	40	.	.	PUNCT
fumecheng-10736	454	1	comparison	comparison	NOUN
fumecheng-10736	454	2	among	among	ADP
fumecheng-10736	454	3	three	three	NUM
fumecheng-10736	454	4	nanobeam	nanobeam	ADJ
fumecheng-10736	454	5	models	model	NOUN
fumecheng-10736	454	6	indicates	indicate	VERB
fumecheng-10736	454	7	that	that	SCONJ
fumecheng-10736	454	8	the	the	DET
fumecheng-10736	454	9	reformulated	reformulate	VERB
fumecheng-10736	454	10	strain	strain	NOUN
fumecheng-10736	454	11	-	-	PUNCT
fumecheng-10736	454	12	gradient	gradient	NOUN
fumecheng-10736	454	13	beam	beam	NOUN
fumecheng-10736	454	14	model	model	NOUN
fumecheng-10736	454	15	leads	lead	VERB
fumecheng-10736	454	16	to	to	ADP
fumecheng-10736	454	17	the	the	DET
fumecheng-10736	454	18	stiffest	stiff	ADJ
fumecheng-10736	454	19	system	system	NOUN
fumecheng-10736	454	20	response	response	NOUN
fumecheng-10736	454	21	.	.	PUNCT
fumecheng-10736	455	1	this	this	DET
fumecheng-10736	455	2	superiority	superiority	NOUN
fumecheng-10736	455	3	of	of	ADP
fumecheng-10736	455	4	the	the	DET
fumecheng-10736	455	5	system	system	NOUN
fumecheng-10736	455	6	stiffness	stiffness	NOUN
fumecheng-10736	455	7	enhancement	enhancement	NOUN
fumecheng-10736	455	8	relies	rely	VERB
fumecheng-10736	455	9	on	on	ADP
fumecheng-10736	455	10	the	the	DET
fumecheng-10736	455	11	fact	fact	NOUN
fumecheng-10736	455	12	that	that	SCONJ
fumecheng-10736	455	13	both	both	DET
fumecheng-10736	455	14	strain	strain	NOUN
fumecheng-10736	455	15	-	-	PUNCT
fumecheng-10736	455	16	gradient	gradient	NOUN
fumecheng-10736	455	17	and	and	CCONJ
fumecheng-10736	455	18	couple	couple	NOUN
fumecheng-10736	455	19	-	-	PUNCT
fumecheng-10736	455	20	stress	stress	NOUN
fumecheng-10736	455	21	effects	effect	NOUN
fumecheng-10736	455	22	are	be	AUX
fumecheng-10736	455	23	addressed	address	VERB
fumecheng-10736	455	24	in	in	ADP
fumecheng-10736	455	25	this	this	DET
fumecheng-10736	455	26	beam	beam	NOUN
fumecheng-10736	455	27	model	model	NOUN
fumecheng-10736	455	28	and	and	CCONJ
fumecheng-10736	455	29	can	can	AUX
fumecheng-10736	455	30	obviously	obviously	ADV
fumecheng-10736	455	31	be	be	AUX
fumecheng-10736	455	32	observed	observe	VERB
fumecheng-10736	455	33	in	in	ADP
fumecheng-10736	455	34	eq	eq	ADP
fumecheng-10736	455	35	.	.	PUNCT
fumecheng-10736	456	1	(	(	PUNCT
fumecheng-10736	456	2	34	34	NUM
fumecheng-10736	456	3	)	)	PUNCT
fumecheng-10736	456	4	.	.	PUNCT
fumecheng-10736	457	1	furthermore	furthermore	ADV
fumecheng-10736	457	2	,	,	PUNCT
fumecheng-10736	457	3	fig	fig	NOUN
fumecheng-10736	457	4	.	.	PUNCT
fumecheng-10736	458	1	6(a	6(a	NUM
fumecheng-10736	458	2	)	)	PUNCT
fumecheng-10736	458	3	points	point	VERB
fumecheng-10736	458	4	out	out	ADP
fumecheng-10736	458	5	that	that	SCONJ
fumecheng-10736	458	6	the	the	DET
fumecheng-10736	458	7	system	system	NOUN
fumecheng-10736	458	8	stiffness	stiffness	NOUN
fumecheng-10736	458	9	enhancement	enhancement	NOUN
fumecheng-10736	458	10	associated	associate	VERB
fumecheng-10736	458	11	with	with	ADP
fumecheng-10736	458	12	the	the	DET
fumecheng-10736	458	13	couple	couple	NOUN
fumecheng-10736	458	14	-	-	PUNCT
fumecheng-10736	458	15	stress	stress	NOUN
fumecheng-10736	458	16	effect	effect	NOUN
fumecheng-10736	458	17	is	be	AUX
fumecheng-10736	458	18	more	more	ADV
fumecheng-10736	458	19	pronounced	pronounced	ADJ
fumecheng-10736	458	20	than	than	ADP
fumecheng-10736	458	21	that	that	PRON
fumecheng-10736	458	22	associated	associate	VERB
fumecheng-10736	458	23	with	with	ADP
fumecheng-10736	458	24	the	the	DET
fumecheng-10736	458	25	strain	strain	NOUN
fumecheng-10736	458	26	-	-	PUNCT
fumecheng-10736	458	27	gradient	gradient	NOUN
fumecheng-10736	458	28	effect	effect	NOUN
fumecheng-10736	458	29	.	.	PUNCT
fumecheng-10736	459	1	fig	fig	NOUN
fumecheng-10736	459	2	.	.	PUNCT
fumecheng-10736	460	1	6(b	6(b	NUM
fumecheng-10736	460	2	)	)	PUNCT
fumecheng-10736	460	3	shows	show	VERB
fumecheng-10736	460	4	the	the	DET
fumecheng-10736	460	5	variation	variation	NOUN
fumecheng-10736	460	6	of	of	ADP
fumecheng-10736	460	7	the	the	DET
fumecheng-10736	460	8	normalized	normalize	VERB
fumecheng-10736	460	9	end	end	NOUN
fumecheng-10736	460	10	displacement	displacement	NOUN
fumecheng-10736	460	11	/	/	SYM
fumecheng-10736	460	12	local	local	ADJ
fumecheng-10736	460	13	v	v	NOUN
fumecheng-10736	460	14	end	end	NOUN
fumecheng-10736	460	15	endv	endv	PROPN
fumecheng-10736	460	16	v	v	PUNCT
fumecheng-10736	461	1	=	=	PUNCT
fumecheng-10736	461	2	with	with	ADP
fumecheng-10736	461	3	the	the	DET
fumecheng-10736	461	4	slenderness	slenderness	NOUN
fumecheng-10736	461	5	ratio	ratio	NOUN
fumecheng-10736	461	6	l	l	PROPN
fumecheng-10736	461	7	/	/	SYM
fumecheng-10736	461	8	h	h	PROPN
fumecheng-10736	461	9	obtained	obtain	VERB
fumecheng-10736	461	10	from	from	ADP
fumecheng-10736	461	11	all	all	DET
fumecheng-10736	461	12	nanobeam	nanobeam	NOUN
fumecheng-10736	461	13	models	model	NOUN
fumecheng-10736	461	14	.	.	PUNCT
fumecheng-10736	462	1	different	different	ADJ
fumecheng-10736	462	2	values	value	NOUN
fumecheng-10736	462	3	of	of	ADP
fumecheng-10736	462	4	the	the	DET
fumecheng-10736	462	5	slenderness	slenderness	NOUN
fumecheng-10736	462	6	ratio	ratio	NOUN
fumecheng-10736	462	7	l	l	PROPN
fumecheng-10736	462	8	/	/	SYM
fumecheng-10736	462	9	h	h	NOUN
fumecheng-10736	462	10	are	be	AUX
fumecheng-10736	462	11	employed	employ	VERB
fumecheng-10736	462	12	to	to	PART
fumecheng-10736	462	13	reflect	reflect	VERB
fumecheng-10736	462	14	the	the	DET
fumecheng-10736	462	15	surface	surface	NOUN
fumecheng-10736	462	16	-	-	PUNCT
fumecheng-10736	462	17	energy	energy	NOUN
fumecheng-10736	462	18	effect	effect	NOUN
fumecheng-10736	462	19	as	as	ADV
fumecheng-10736	462	20	well	well	ADV
fumecheng-10736	462	21	as	as	ADP
fumecheng-10736	462	22	the	the	DET
fumecheng-10736	462	23	material	material	ADJ
fumecheng-10736	462	24	small	small	ADJ
fumecheng-10736	462	25	-	-	PUNCT
fumecheng-10736	462	26	scale	scale	NOUN
fumecheng-10736	462	27	effect	effect	NOUN
fumecheng-10736	462	28	,	,	PUNCT
fumecheng-10736	462	29	ranging	range	VERB
fumecheng-10736	462	30	from	from	ADP
fumecheng-10736	462	31	1	1	NUM
fumecheng-10736	462	32	to	to	PART
fumecheng-10736	462	33	100	100	NUM
fumecheng-10736	462	34	(	(	PUNCT
fumecheng-10736	462	35	very	very	ADV
fumecheng-10736	462	36	stubby	stubby	ADJ
fumecheng-10736	462	37	to	to	ADP
fumecheng-10736	462	38	very	very	ADV
fumecheng-10736	462	39	slender	slender	ADJ
fumecheng-10736	462	40	beams	beam	NOUN
fumecheng-10736	462	41	)	)	PUNCT
fumecheng-10736	462	42	.	.	PUNCT
fumecheng-10736	463	1	a	a	DET
fumecheng-10736	463	2	specific	specific	ADJ
fumecheng-10736	463	3	value	value	NOUN
fumecheng-10736	463	4	of	of	ADP
fumecheng-10736	463	5	slenderness	slenderness	NOUN
fumecheng-10736	463	6	ratio	ratio	NOUN
fumecheng-10736	463	7	l	l	PROPN
fumecheng-10736	463	8	/	/	SYM
fumecheng-10736	463	9	h	h	NOUN
fumecheng-10736	463	10	can	can	AUX
fumecheng-10736	463	11	be	be	AUX
fumecheng-10736	463	12	earned	earn	VERB
fumecheng-10736	463	13	by	by	ADP
fumecheng-10736	463	14	keeping	keep	VERB
fumecheng-10736	463	15	l	l	NOUN
fumecheng-10736	463	16	=	=	SYM
fumecheng-10736	463	17	1,000	1,000	NUM
fumecheng-10736	463	18	nm	nm	ADJ
fumecheng-10736	463	19	and	and	CCONJ
fumecheng-10736	463	20	varying	vary	VERB
fumecheng-10736	463	21	h.	h.	PROPN
fumecheng-10736	463	22	as	as	SCONJ
fumecheng-10736	463	23	provided	provide	VERB
fumecheng-10736	463	24	by	by	ADP
fumecheng-10736	463	25	liew	liew	PROPN
fumecheng-10736	463	26	et	et	PROPN
fumecheng-10736	463	27	al	al	PROPN
fumecheng-10736	463	28	.	.	PUNCT
fumecheng-10736	464	1	[	[	X
fumecheng-10736	464	2	79	79	NUM
fumecheng-10736	464	3	]	]	PUNCT
fumecheng-10736	464	4	,	,	PUNCT
fumecheng-10736	464	5	a	a	DET
fumecheng-10736	464	6	stiffness	stiffness	ADJ
fumecheng-10736	464	7	coefficient	coefficient	NOUN
fumecheng-10736	464	8	of	of	ADP
fumecheng-10736	464	9	kes	kes	PROPN
fumecheng-10736	464	10	=	=	PROPN
fumecheng-10736	464	11	95x10	95x10	NUM
fumecheng-10736	464	12	-	-	SYM
fumecheng-10736	464	13	3	3	NUM
fumecheng-10736	464	14	nn	nn	NOUN
fumecheng-10736	464	15	/	/	SYM
fumecheng-10736	464	16	nm3	nm3	NOUN
fumecheng-10736	464	17	is	be	AUX
fumecheng-10736	464	18	selected	select	VERB
fumecheng-10736	464	19	to	to	PART
fumecheng-10736	464	20	represent	represent	VERB
fumecheng-10736	464	21	the	the	DET
fumecheng-10736	464	22	underlying	underlie	VERB
fumecheng-10736	464	23	substrate	substrate	NOUN
fumecheng-10736	464	24	medium	medium	NOUN
fumecheng-10736	464	25	as	as	ADP
fumecheng-10736	464	26	polymer	polymer	NOUN
fumecheng-10736	464	27	.	.	PUNCT
fumecheng-10736	465	1	the	the	DET
fumecheng-10736	465	2	material	material	ADJ
fumecheng-10736	465	3	lengthscale	lengthscale	NOUN
fumecheng-10736	465	4	parameters	parameter	NOUN
fumecheng-10736	465	5	are	be	AUX
fumecheng-10736	465	6	kept	keep	VERB
fumecheng-10736	465	7	constant	constant	ADJ
fumecheng-10736	465	8	at	at	ADP
fumecheng-10736	465	9	ls	ls	PROPN
fumecheng-10736	465	10	=	=	PROPN
fumecheng-10736	465	11	100	100	NUM
fumecheng-10736	465	12	nm	nm	ADJ
fumecheng-10736	465	13	and	and	CCONJ
fumecheng-10736	465	14	lm	lm	NOUN
fumecheng-10736	465	15	=	=	SYM
fumecheng-10736	466	1	100	100	NUM
fumecheng-10736	466	2	nm	nm	NOUN
fumecheng-10736	466	3	.	.	PUNCT
fumecheng-10736	466	4	fig	fig	NOUN
fumecheng-10736	466	5	.	.	PUNCT
fumecheng-10736	467	1	6(b	6(b	NUM
fumecheng-10736	467	2	)	)	PUNCT
fumecheng-10736	467	3	indicates	indicate	VERB
fumecheng-10736	467	4	that	that	SCONJ
fumecheng-10736	467	5	with	with	ADP
fumecheng-10736	467	6	increasing	increase	VERB
fumecheng-10736	467	7	beam	beam	NOUN
fumecheng-10736	467	8	slenderness	slenderness	NOUN
fumecheng-10736	467	9	ratio	ratio	NOUN
fumecheng-10736	467	10	l	l	PROPN
fumecheng-10736	467	11	/	/	SYM
fumecheng-10736	467	12	h	h	NOUN
fumecheng-10736	467	13	,	,	PUNCT
fumecheng-10736	467	14	the	the	DET
fumecheng-10736	467	15	system	system	NOUN
fumecheng-10736	467	16	stiffness	stiffness	NOUN
fumecheng-10736	467	17	enhancement	enhancement	NOUN
fumecheng-10736	467	18	induced	induce	VERB
fumecheng-10736	467	19	by	by	ADP
fumecheng-10736	467	20	the	the	DET
fumecheng-10736	467	21	material	material	ADJ
fumecheng-10736	467	22	small	small	ADJ
fumecheng-10736	467	23	-	-	PUNCT
fumecheng-10736	467	24	scale	scale	NOUN
fumecheng-10736	467	25	effect	effect	NOUN
fumecheng-10736	467	26	and	and	CCONJ
fumecheng-10736	467	27	the	the	DET
fumecheng-10736	467	28	surface	surface	NOUN
fumecheng-10736	467	29	-	-	PUNCT
fumecheng-10736	467	30	energy	energy	NOUN
fumecheng-10736	467	31	effect	effect	NOUN
fumecheng-10736	467	32	becomes	become	VERB
fumecheng-10736	467	33	more	more	ADV
fumecheng-10736	467	34	pronounced	pronounced	ADJ
fumecheng-10736	467	35	,	,	PUNCT
fumecheng-10736	467	36	thus	thus	ADV
fumecheng-10736	467	37	lowering	lower	VERB
fumecheng-10736	467	38	the	the	DET
fumecheng-10736	467	39	normalized	normalize	VERB
fumecheng-10736	467	40	end	end	NOUN
fumecheng-10736	467	41	displacement	displacement	NOUN
fumecheng-10736	467	42	/	/	SYM
fumecheng-10736	467	43	local	local	ADJ
fumecheng-10736	467	44	v	v	NOUN
fumecheng-10736	467	45	end	end	NOUN
fumecheng-10736	467	46	endv	endv	PROPN
fumecheng-10736	467	47	v	v	PUNCT
fumecheng-10736	468	1	=	=	PUNCT
fumecheng-10736	468	2	.	.	PUNCT
fumecheng-10736	469	1	it	it	PRON
fumecheng-10736	469	2	is	be	AUX
fumecheng-10736	469	3	worth	worth	ADJ
fumecheng-10736	469	4	pointing	point	VERB
fumecheng-10736	469	5	out	out	ADP
fumecheng-10736	469	6	that	that	SCONJ
fumecheng-10736	469	7	the	the	DET
fumecheng-10736	469	8	normalized	normalize	VERB
fumecheng-10736	469	9	material	material	ADJ
fumecheng-10736	469	10	-	-	PUNCT
fumecheng-10736	469	11	length	length	NOUN
fumecheng-10736	469	12	scale	scale	NOUN
fumecheng-10736	469	13	parameters	parameter	NOUN
fumecheng-10736	469	14	(	(	PUNCT
fumecheng-10736	469	15	ξs	ξs	X
fumecheng-10736	469	16	and	and	CCONJ
fumecheng-10736	469	17	ξm	ξm	X
fumecheng-10736	469	18	)	)	PUNCT
fumecheng-10736	469	19	become	become	VERB
fumecheng-10736	469	20	larger	large	ADJ
fumecheng-10736	469	21	with	with	ADP
fumecheng-10736	469	22	increasing	increase	VERB
fumecheng-10736	469	23	beam	beam	NOUN
fumecheng-10736	469	24	slenderness	slenderness	NOUN
fumecheng-10736	469	25	ratio	ratio	NOUN
fumecheng-10736	469	26	l	l	PROPN
fumecheng-10736	469	27	/	/	SYM
fumecheng-10736	469	28	h	h	NOUN
fumecheng-10736	469	29	(	(	PUNCT
fumecheng-10736	469	30	decreasing	decrease	VERB
fumecheng-10736	469	31	beam	beam	NOUN
fumecheng-10736	469	32	depth	depth	NOUN
fumecheng-10736	469	33	h	h	NOUN
fumecheng-10736	469	34	)	)	PUNCT
fumecheng-10736	469	35	,	,	PUNCT
fumecheng-10736	469	36	thus	thus	ADV
fumecheng-10736	469	37	magnifying	magnify	VERB
fumecheng-10736	469	38	the	the	DET
fumecheng-10736	469	39	stiffening	stiffen	VERB
fumecheng-10736	469	40	characteristic	characteristic	NOUN
fumecheng-10736	469	41	induced	induce	VERB
fumecheng-10736	469	42	by	by	ADP
fumecheng-10736	469	43	the	the	DET
fumecheng-10736	469	44	material	material	ADJ
fumecheng-10736	469	45	small	small	ADJ
fumecheng-10736	469	46	-	-	PUNCT
fumecheng-10736	469	47	scale	scale	NOUN
fumecheng-10736	469	48	effect	effect	NOUN
fumecheng-10736	469	49	.	.	PUNCT
fumecheng-10736	470	1	furthermore	furthermore	ADV
fumecheng-10736	470	2	,	,	PUNCT
fumecheng-10736	470	3	increasing	increase	VERB
fumecheng-10736	470	4	beam	beam	NOUN
fumecheng-10736	470	5	slenderness	slenderness	NOUN
fumecheng-10736	470	6	ratio	ratio	NOUN
fumecheng-10736	470	7	l	l	PROPN
fumecheng-10736	470	8	/	/	SYM
fumecheng-10736	470	9	h	h	PROPN
fumecheng-10736	470	10	enlarges	enlarge	VERB
fumecheng-10736	470	11	the	the	DET
fumecheng-10736	470	12	beam	beam	NOUN
fumecheng-10736	470	13	surface	surface	NOUN
fumecheng-10736	470	14	-	-	PUNCT
fumecheng-10736	470	15	area	area	NOUN
fumecheng-10736	470	16	/	/	SYM
fumecheng-10736	470	17	section	section	NOUN
fumecheng-10736	470	18	-	-	PUNCT
fumecheng-10736	470	19	area	area	NOUN
fumecheng-10736	470	20	ratio	ratio	NOUN
fumecheng-10736	470	21	(	(	PUNCT
fumecheng-10736	470	22	as	as	ADP
fumecheng-10736	470	23	/	/	SYM
fumecheng-10736	470	24	ab	ab	NOUN
fumecheng-10736	470	25	)	)	PUNCT
fumecheng-10736	470	26	,	,	PUNCT
fumecheng-10736	470	27	hence	hence	ADV
fumecheng-10736	470	28	amplifying	amplify	VERB
fumecheng-10736	470	29	the	the	DET
fumecheng-10736	470	30	stiffness	stiffness	NOUN
fumecheng-10736	470	31	enhancement	enhancement	NOUN
fumecheng-10736	470	32	induced	induce	VERB
fumecheng-10736	470	33	by	by	ADP
fumecheng-10736	470	34	the	the	DET
fumecheng-10736	470	35	surface	surface	NOUN
fumecheng-10736	470	36	-	-	PUNCT
fumecheng-10736	470	37	energy	energy	NOUN
fumecheng-10736	470	38	effect	effect	NOUN
fumecheng-10736	470	39	.	.	PUNCT
fumecheng-10736	471	1	among	among	ADP
fumecheng-10736	471	2	three	three	NUM
fumecheng-10736	471	3	nanobeam	nanobeam	ADJ
fumecheng-10736	471	4	models	model	NOUN
fumecheng-10736	471	5	,	,	PUNCT
fumecheng-10736	471	6	the	the	DET
fumecheng-10736	471	7	reformulated	reformulate	VERB
fumecheng-10736	471	8	strain	strain	NOUN
fumecheng-10736	471	9	-	-	PUNCT
fumecheng-10736	471	10	gradient	gradient	NOUN
fumecheng-10736	471	11	beam	beam	NOUN
fumecheng-10736	471	12	model	model	NOUN
fumecheng-10736	471	13	consistently	consistently	ADV
fumecheng-10736	471	14	provides	provide	VERB
fumecheng-10736	471	15	the	the	DET
fumecheng-10736	471	16	largest	large	ADJ
fumecheng-10736	471	17	system	system	NOUN
fumecheng-10736	471	18	stiffness	stiffness	NOUN
fumecheng-10736	471	19	.	.	PUNCT
fumecheng-10736	472	1	however	however	ADV
fumecheng-10736	472	2	,	,	PUNCT
fumecheng-10736	472	3	the	the	DET
fumecheng-10736	472	4	beam	beam	NOUN
fumecheng-10736	472	5	depth	depth	NOUN
fumecheng-10736	472	6	h	h	NOUN
fumecheng-10736	472	7	dictates	dictate	VERB
fumecheng-10736	472	8	the	the	DET
fumecheng-10736	472	9	system	system	NOUN
fumecheng-10736	472	10	stiffness	stiffness	NOUN
fumecheng-10736	472	11	obtained	obtain	VERB
fumecheng-10736	472	12	with	with	ADP
fumecheng-10736	472	13	the	the	DET
fumecheng-10736	472	14	degenerated	degenerated	ADJ
fumecheng-10736	472	15	strain	strain	NOUN
fumecheng-10736	472	16	-	-	PUNCT
fumecheng-10736	472	17	gradient	gradient	NOUN
fumecheng-10736	472	18	model	model	NOUN
fumecheng-10736	472	19	and	and	CCONJ
fumecheng-10736	472	20	the	the	DET
fumecheng-10736	472	21	modified	modify	VERB
fumecheng-10736	472	22	couple	couple	NOUN
fumecheng-10736	472	23	-	-	PUNCT
fumecheng-10736	472	24	stress	stress	NOUN
fumecheng-10736	472	25	model	model	NOUN
fumecheng-10736	472	26	.	.	PUNCT
fumecheng-10736	473	1	as	as	SCONJ
fumecheng-10736	473	2	shown	show	VERB
fumecheng-10736	473	3	in	in	ADP
fumecheng-10736	473	4	the	the	DET
fumecheng-10736	473	5	inset	inset	NOUN
fumecheng-10736	473	6	of	of	ADP
fumecheng-10736	473	7	fig	fig	NOUN
fumecheng-10736	473	8	.	.	PUNCT
fumecheng-10736	474	1	6(b	6(b	NUM
fumecheng-10736	474	2	)	)	PUNCT
fumecheng-10736	474	3	,	,	PUNCT
fumecheng-10736	474	4	the	the	DET
fumecheng-10736	474	5	response	response	NOUN
fumecheng-10736	474	6	obtained	obtain	VERB
fumecheng-10736	474	7	with	with	ADP
fumecheng-10736	474	8	the	the	DET
fumecheng-10736	474	9	degenerated	degenerated	ADJ
fumecheng-10736	474	10	strain	strain	NOUN
fumecheng-10736	474	11	-	-	PUNCT
fumecheng-10736	474	12	gradient	gradient	NOUN
fumecheng-10736	474	13	model	model	NOUN
fumecheng-10736	474	14	is	be	AUX
fumecheng-10736	474	15	stiffer	stiff	ADJ
fumecheng-10736	474	16	than	than	ADP
fumecheng-10736	474	17	that	that	PRON
fumecheng-10736	474	18	obtained	obtain	VERB
fumecheng-10736	474	19	with	with	ADP
fumecheng-10736	474	20	the	the	DET
fumecheng-10736	474	21	modified	modify	VERB
fumecheng-10736	474	22	couplestress	couplestress	NOUN
fumecheng-10736	474	23	model	model	NOUN
fumecheng-10736	474	24	when	when	SCONJ
fumecheng-10736	474	25	the	the	DET
fumecheng-10736	474	26	beam	beam	NOUN
fumecheng-10736	474	27	depth	depth	NOUN
fumecheng-10736	474	28	h	h	NOUN
fumecheng-10736	474	29	is	be	AUX
fumecheng-10736	474	30	larger	large	ADJ
fumecheng-10736	474	31	than	than	ADP
fumecheng-10736	474	32	100	100	NUM
fumecheng-10736	474	33	nm	nm	NOUN
fumecheng-10736	474	34	(	(	PUNCT
fumecheng-10736	474	35	l	l	NOUN
fumecheng-10736	474	36	/	/	SYM
fumecheng-10736	474	37	h	h	NOUN
fumecheng-10736	474	38	<	<	X
fumecheng-10736	474	39	10	10	NUM
fumecheng-10736	474	40	)	)	PUNCT
fumecheng-10736	474	41	.	.	PUNCT
fumecheng-10736	475	1	as	as	SCONJ
fumecheng-10736	475	2	the	the	DET
fumecheng-10736	475	3	beam	beam	NOUN
fumecheng-10736	475	4	becomes	become	VERB
fumecheng-10736	475	5	thinner	thin	ADJ
fumecheng-10736	475	6	(	(	PUNCT
fumecheng-10736	475	7	h	h	NOUN
fumecheng-10736	475	8	≤	≤	NOUN
fumecheng-10736	475	9	100	100	NUM
fumecheng-10736	475	10	nm	nm	NOUN
fumecheng-10736	475	11	)	)	PUNCT
fumecheng-10736	475	12	,	,	PUNCT
fumecheng-10736	475	13	the	the	DET
fumecheng-10736	475	14	system	system	NOUN
fumecheng-10736	475	15	response	response	NOUN
fumecheng-10736	475	16	associated	associate	VERB
fumecheng-10736	475	17	with	with	ADP
fumecheng-10736	475	18	the	the	DET
fumecheng-10736	475	19	modified	modify	VERB
fumecheng-10736	475	20	couplestress	couplestress	NOUN
fumecheng-10736	475	21	model	model	NOUN
fumecheng-10736	475	22	is	be	AUX
fumecheng-10736	475	23	stiffer	stiff	ADJ
fumecheng-10736	475	24	than	than	ADP
fumecheng-10736	475	25	that	that	PRON
fumecheng-10736	475	26	associated	associate	VERB
fumecheng-10736	475	27	with	with	ADP
fumecheng-10736	475	28	the	the	DET
fumecheng-10736	475	29	degenerated	degenerated	ADJ
fumecheng-10736	475	30	strain	strain	NOUN
fumecheng-10736	475	31	-	-	PUNCT
fumecheng-10736	475	32	gradient	gradient	NOUN
fumecheng-10736	475	33	model	model	NOUN
fumecheng-10736	475	34	.	.	PUNCT
fumecheng-10736	476	1	this	this	DET
fumecheng-10736	476	2	observation	observation	NOUN
fumecheng-10736	476	3	relies	rely	VERB
fumecheng-10736	476	4	on	on	ADP
fumecheng-10736	476	5	the	the	DET
fumecheng-10736	476	6	fact	fact	NOUN
fumecheng-10736	476	7	that	that	SCONJ
fumecheng-10736	476	8	the	the	DET
fumecheng-10736	476	9	higher	high	ADJ
fumecheng-10736	476	10	-	-	PUNCT
fumecheng-10736	476	11	order	order	NOUN
fumecheng-10736	476	12	flexural	flexural	ADJ
fumecheng-10736	476	13	rigidity	rigidity	NOUN
fumecheng-10736	476	14	(	(	PUNCT
fumecheng-10736	476	15	)	)	PUNCT
fumecheng-10736	476	16	h	h	PROPN
fumecheng-10736	476	17	effei	effei	NOUN
fumecheng-10736	476	18	of	of	ADP
fumecheng-10736	476	19	the	the	DET
fumecheng-10736	476	20	degenerated	degenerated	ADJ
fumecheng-10736	476	21	strain	strain	NOUN
fumecheng-10736	476	22	-	-	PUNCT
fumecheng-10736	476	23	gradient	gradient	NOUN
fumecheng-10736	476	24	model	model	NOUN
fumecheng-10736	476	25	provides	provide	VERB
fumecheng-10736	476	26	more	more	ADJ
fumecheng-10736	476	27	contribution	contribution	NOUN
fumecheng-10736	476	28	to	to	ADP
fumecheng-10736	476	29	the	the	DET
fumecheng-10736	476	30	system	system	NOUN
fumecheng-10736	476	31	stiffness	stiffness	NOUN
fumecheng-10736	476	32	when	when	SCONJ
fumecheng-10736	476	33	the	the	DET
fumecheng-10736	476	34	beam	beam	NOUN
fumecheng-10736	476	35	becomes	become	VERB
fumecheng-10736	476	36	thicker	thick	ADJ
fumecheng-10736	476	37	(	(	PUNCT
fumecheng-10736	476	38	h	h	NOUN
fumecheng-10736	476	39	>	>	X
fumecheng-10736	476	40	100	100	NUM
fumecheng-10736	476	41	nm	nm	NOUN
fumecheng-10736	476	42	)	)	PUNCT
fumecheng-10736	476	43	.	.	PUNCT
fumecheng-10736	477	1	zhang	zhang	PROPN
fumecheng-10736	477	2	et	et	PROPN
fumecheng-10736	477	3	al	al	PROPN
fumecheng-10736	477	4	.	.	PUNCT
fumecheng-10736	478	1	[	[	X
fumecheng-10736	478	2	80	80	NUM
fumecheng-10736	478	3	]	]	PUNCT
fumecheng-10736	478	4	also	also	ADV
fumecheng-10736	478	5	noticed	notice	VERB
fumecheng-10736	478	6	a	a	DET
fumecheng-10736	478	7	similar	similar	ADJ
fumecheng-10736	478	8	observation	observation	NOUN
fumecheng-10736	478	9	for	for	ADP
fumecheng-10736	478	10	the	the	DET
fumecheng-10736	478	11	reformulated	reformulate	VERB
fumecheng-10736	478	12	strain	strain	NOUN
fumecheng-10736	478	13	-	-	PUNCT
fumecheng-10736	478	14	gradient	gradient	NOUN
fumecheng-10736	478	15	kirchhoff	kirchhoff	NOUN
fumecheng-10736	478	16	plate	plate	NOUN
fumecheng-10736	478	17	model	model	PROPN
fumecheng-10736	478	18	.	.	PUNCT
fumecheng-10736	479	1	bending	bend	VERB
fumecheng-10736	479	2	,	,	PUNCT
fumecheng-10736	479	3	buckling	buckling	NOUN
fumecheng-10736	479	4	,	,	PUNCT
fumecheng-10736	479	5	and	and	CCONJ
fumecheng-10736	479	6	free	free	ADJ
fumecheng-10736	479	7	vibration	vibration	NOUN
fumecheng-10736	479	8	analyses	analysis	NOUN
fumecheng-10736	479	9	of	of	ADP
fumecheng-10736	479	10	nanobeam	nanobeam	ADJ
fumecheng-10736	479	11	-	-	PUNCT
fumecheng-10736	479	12	substrate	substrate	NOUN
fumecheng-10736	479	13	medium	medium	NOUN
fumecheng-10736	479	14	systems	system	NOUN
fumecheng-10736	479	15	579	579	NUM
fumecheng-10736	479	16	0	0	NUM
fumecheng-10736	479	17	0.1	0.1	NUM
fumecheng-10736	479	18	0.2	0.2	NUM
fumecheng-10736	479	19	0.3	0.3	NUM
fumecheng-10736	479	20	0.4	0.4	NUM
fumecheng-10736	479	21	0.5	0.5	NUM
fumecheng-10736	479	22	0.6	0.6	NUM
fumecheng-10736	479	23	0	0	NUM
fumecheng-10736	479	24	20	20	NUM
fumecheng-10736	479	25	40	40	NUM
fumecheng-10736	479	26	60	60	NUM
fumecheng-10736	479	27	80	80	NUM
fumecheng-10736	479	28	100	100	NUM
fumecheng-10736	479	29	non	non	ADJ
fumecheng-10736	479	30	-	-	ADJ
fumecheng-10736	479	31	dimensional	dimensional	ADJ
fumecheng-10736	479	32	substrate	substrate	NOUN
fumecheng-10736	479	33	-	-	PUNCT
fumecheng-10736	479	34	medium	medium	NOUN
fumecheng-10736	479	35	stiffness	stiffness	NOUN
fumecheng-10736	479	36	esk	esk	NOUN
fumecheng-10736	479	37			CCONJ
fumecheng-10736	479	38	higher	high	ADJ
fumecheng-10736	479	39	substrate	substrate	NOUN
fumecheng-10736	479	40	-	-	PUNCT
fumecheng-10736	479	41	medium	medium	NOUN
fumecheng-10736	479	42	stiffness	stiffness	NOUN
fumecheng-10736	479	43	esk	esk	PROPN
fumecheng-10736	479	44	100h	100h	PROPN
fumecheng-10736	479	45	nm=	nm=	NOUN
fumecheng-10736	479	46	reformulated	reformulate	VERB
fumecheng-10736	479	47	strain	strain	NOUN
fumecheng-10736	479	48	-	-	PUNCT
fumecheng-10736	479	49	gradient	gradient	NOUN
fumecheng-10736	479	50	model	model	NOUN
fumecheng-10736	479	51	(	(	PUNCT
fumecheng-10736	479	52	)	)	PUNCT
fumecheng-10736	479	53	1s	1s	X
fumecheng-10736	479	54	m	m	PUNCT
fumecheng-10736	479	55	=	=	NOUN
fumecheng-10736	479	56	=	=	PUNCT
fumecheng-10736	479	57	degenerated	degenerate	VERB
fumecheng-10736	479	58	strain	strain	NOUN
fumecheng-10736	479	59	-	-	PUNCT
fumecheng-10736	479	60	gradient	gradient	NOUN
fumecheng-10736	479	61	model	model	NOUN
fumecheng-10736	479	62	modified	modify	VERB
fumecheng-10736	479	63	couple	couple	NOUN
fumecheng-10736	479	64	-	-	PUNCT
fumecheng-10736	479	65	stress	stress	NOUN
fumecheng-10736	479	66	model	model	NOUN
fumecheng-10736	479	67	(	(	PUNCT
fumecheng-10736	479	68	)	)	PUNCT
fumecheng-10736	479	69	1s	1s	PROPN
fumecheng-10736	480	1	=	=	SYM
fumecheng-10736	480	2	(	(	PUNCT
fumecheng-10736	480	3	)	)	PUNCT
fumecheng-10736	480	4	1m	1m	X
fumecheng-10736	481	1	=	=	PUNCT
fumecheng-10736	481	2	vξ	vξ	PROPN
fumecheng-10736	481	3	0	0	NUM
fumecheng-10736	481	4	0.2	0.2	NUM
fumecheng-10736	481	5	0.4	0.4	NUM
fumecheng-10736	481	6	0.6	0.6	NUM
fumecheng-10736	481	7	0.8	0.8	NUM
fumecheng-10736	481	8	1	1	NUM
fumecheng-10736	481	9	0	0	NUM
fumecheng-10736	481	10	20	20	NUM
fumecheng-10736	481	11	40	40	NUM
fumecheng-10736	481	12	60	60	NUM
fumecheng-10736	481	13	80	80	NUM
fumecheng-10736	481	14	100	100	NUM
fumecheng-10736	481	15	slenderness	slenderness	NOUN
fumecheng-10736	481	16	ratio	ratio	NOUN
fumecheng-10736	481	17	/l	/l	PUNCT
fumecheng-10736	482	1	h	h	NOUN
fumecheng-10736	482	2	smaller	small	ADJ
fumecheng-10736	482	3	beam	beam	NOUN
fumecheng-10736	482	4	depth	depth	NOUN
fumecheng-10736	482	5	h	h	NOUN
fumecheng-10736	482	6	3	3	NUM
fumecheng-10736	482	7	395	395	NUM
fumecheng-10736	482	8	10	10	NUM
fumecheng-10736	482	9	/esk	/esk	NOUN
fumecheng-10736	482	10	x	x	SYM
fumecheng-10736	482	11	nn	nn	X
fumecheng-10736	482	12	nm−=	nm−=	PROPN
fumecheng-10736	482	13	0	0	NUM
fumecheng-10736	482	14	0.2	0.2	NUM
fumecheng-10736	482	15	0.4	0.4	NUM
fumecheng-10736	482	16	0.6	0.6	NUM
fumecheng-10736	482	17	0.8	0.8	NUM
fumecheng-10736	482	18	1	1	NUM
fumecheng-10736	482	19	0	0	NUM
fumecheng-10736	482	20	20	20	NUM
fumecheng-10736	482	21	40	40	NUM
fumecheng-10736	482	22	60	60	NUM
fumecheng-10736	482	23	80	80	NUM
fumecheng-10736	482	24	100	100	NUM
fumecheng-10736	482	25	v	v	NOUN
fumecheng-10736	482	26	/v	/v	PUNCT
fumecheng-10736	482	27	cl	cl	NOUN
fumecheng-10736	482	28	a	a	DET
fumecheng-10736	482	29	ss	ss	NOUN
fumecheng-10736	482	30	ic	ic	INTJ
fumecheng-10736	482	31	a	a	DET
fumecheng-10736	482	32	l	l	NOUN
fumecheng-10736	482	33	slenderness	slenderness	NOUN
fumecheng-10736	482	34	ratio	ratio	NOUN
fumecheng-10736	482	35	proposed	propose	VERB
fumecheng-10736	482	36	model	model	PROPN
fumecheng-10736	482	37	sget	sget	PROPN
fumecheng-10736	482	38	model	model	PROPN
fumecheng-10736	482	39	mcst	mcst	PROPN
fumecheng-10736	482	40	model	model	NOUN
fumecheng-10736	482	41	reformulated	reformulate	VERB
fumecheng-10736	482	42	strain	strain	NOUN
fumecheng-10736	482	43	-	-	PUNCT
fumecheng-10736	482	44	gradient	gradient	NOUN
fumecheng-10736	482	45	model	model	NOUN
fumecheng-10736	482	46	(	(	PUNCT
fumecheng-10736	482	47	)	)	PUNCT
fumecheng-10736	482	48	100s	100s	PROPN
fumecheng-10736	482	49	ml	ml	ADP
fumecheng-10736	482	50	l	l	NOUN
fumecheng-10736	482	51	nm=	nm=	NOUN
fumecheng-10736	482	52	=	=	SYM
fumecheng-10736	482	53	degenerated	degenerate	VERB
fumecheng-10736	482	54	strain	strain	NOUN
fumecheng-10736	482	55	-	-	PUNCT
fumecheng-10736	482	56	gradient	gradient	NOUN
fumecheng-10736	482	57	model	model	NOUN
fumecheng-10736	482	58	modified	modify	VERB
fumecheng-10736	482	59	couple	couple	NOUN
fumecheng-10736	482	60	-	-	PUNCT
fumecheng-10736	482	61	stress	stress	NOUN
fumecheng-10736	482	62	model	model	NOUN
fumecheng-10736	482	63	(	(	PUNCT
fumecheng-10736	482	64	)	)	PUNCT
fumecheng-10736	482	65	100sl	100sl	PROPN
fumecheng-10736	482	66	nm=	nm=	NOUN
fumecheng-10736	482	67	(	(	PUNCT
fumecheng-10736	482	68	)	)	PUNCT
fumecheng-10736	482	69	100ml	100ml	PROPN
fumecheng-10736	482	70	nm=	nm=	PROPN
fumecheng-10736	482	71	vξ	vξ	VERB
fumecheng-10736	482	72	(	(	PUNCT
fumecheng-10736	482	73	a	a	NOUN
fumecheng-10736	482	74	)	)	PUNCT
fumecheng-10736	482	75	(	(	PUNCT
fumecheng-10736	482	76	b	b	X
fumecheng-10736	482	77	)	)	PUNCT
fumecheng-10736	482	78	fig	fig	NOUN
fumecheng-10736	482	79	.	.	PUNCT
fumecheng-10736	483	1	6	6	NUM
fumecheng-10736	483	2	normalized	normalize	VERB
fumecheng-10736	483	3	end	end	NOUN
fumecheng-10736	483	4	displacements	displacement	NOUN
fumecheng-10736	483	5	with	with	ADP
fumecheng-10736	483	6	variation	variation	NOUN
fumecheng-10736	483	7	of	of	ADP
fumecheng-10736	483	8	:	:	PUNCT
fumecheng-10736	483	9	(	(	PUNCT
fumecheng-10736	483	10	a	a	X
fumecheng-10736	483	11	)	)	PUNCT
fumecheng-10736	483	12	non	non	ADJ
fumecheng-10736	483	13	-	-	ADJ
fumecheng-10736	483	14	dimensional	dimensional	ADJ
fumecheng-10736	483	15	substratemedium	substratemedium	NOUN
fumecheng-10736	483	16	stiffness	stiffness	NOUN
fumecheng-10736	483	17	esk	esk	NOUN
fumecheng-10736	483	18			ADJ
fumecheng-10736	483	19	;	;	PUNCT
fumecheng-10736	483	20	and	and	CCONJ
fumecheng-10736	483	21	(	(	PUNCT
fumecheng-10736	483	22	b	b	NOUN
fumecheng-10736	483	23	)	)	PUNCT
fumecheng-10736	483	24	slenderness	slenderness	NOUN
fumecheng-10736	483	25	ratio	ratio	NOUN
fumecheng-10736	483	26	l	l	PROPN
fumecheng-10736	483	27	/	/	SYM
fumecheng-10736	483	28	h	h	PROPN
fumecheng-10736	483	29	7.2	7.2	NUM
fumecheng-10736	483	30	.	.	PUNCT
fumecheng-10736	483	31	simulation	simulation	PROPN
fumecheng-10736	483	32	ii	ii	PROPN
fumecheng-10736	483	33	:	:	PUNCT
fumecheng-10736	483	34	buckling	buckle	VERB
fumecheng-10736	483	35	analysis	analysis	NOUN
fumecheng-10736	483	36	the	the	DET
fumecheng-10736	483	37	second	second	ADJ
fumecheng-10736	483	38	simulation	simulation	NOUN
fumecheng-10736	483	39	assesses	assess	VERB
fumecheng-10736	483	40	the	the	DET
fumecheng-10736	483	41	influence	influence	NOUN
fumecheng-10736	483	42	of	of	ADP
fumecheng-10736	483	43	system	system	NOUN
fumecheng-10736	483	44	parameters	parameter	NOUN
fumecheng-10736	483	45	on	on	ADP
fumecheng-10736	483	46	the	the	DET
fumecheng-10736	483	47	critical	critical	ADJ
fumecheng-10736	483	48	buckling	buckling	NOUN
fumecheng-10736	483	49	load	load	NOUN
fumecheng-10736	483	50	pcr	pcr	NOUN
fumecheng-10736	483	51	of	of	ADP
fumecheng-10736	483	52	the	the	DET
fumecheng-10736	483	53	simply	simply	ADV
fumecheng-10736	483	54	-	-	PUNCT
fumecheng-10736	483	55	supported	support	VERB
fumecheng-10736	483	56	lead	lead	ADJ
fumecheng-10736	483	57	nanobeam	nanobeam	NOUN
fumecheng-10736	483	58	-	-	PUNCT
fumecheng-10736	483	59	substrate	substrate	NOUN
fumecheng-10736	483	60	medium	medium	NOUN
fumecheng-10736	483	61	system	system	NOUN
fumecheng-10736	483	62	shown	show	VERB
fumecheng-10736	483	63	in	in	ADP
fumecheng-10736	483	64	fig	fig	NOUN
fumecheng-10736	483	65	.	.	PUNCT
fumecheng-10736	484	1	7	7	X
fumecheng-10736	484	2	.	.	NUM
fumecheng-10736	484	3	investigated	investigate	VERB
fumecheng-10736	484	4	system	system	NOUN
fumecheng-10736	484	5	parameters	parameter	NOUN
fumecheng-10736	484	6	include	include	VERB
fumecheng-10736	484	7	the	the	DET
fumecheng-10736	484	8	beam	beam	ADJ
fumecheng-10736	484	9	depth	depth	NOUN
fumecheng-10736	484	10	h	h	NOUN
fumecheng-10736	484	11	,	,	PUNCT
fumecheng-10736	484	12	the	the	DET
fumecheng-10736	484	13	strain	strain	NOUN
fumecheng-10736	484	14	-	-	PUNCT
fumecheng-10736	484	15	gradient	gradient	NOUN
fumecheng-10736	484	16	material	material	NOUN
fumecheng-10736	484	17	parameter	parameter	NOUN
fumecheng-10736	484	18	ls	ls	PROPN
fumecheng-10736	484	19	,	,	PUNCT
fumecheng-10736	484	20	and	and	CCONJ
fumecheng-10736	484	21	the	the	DET
fumecheng-10736	484	22	substrate	substrate	NOUN
fumecheng-10736	484	23	-	-	PUNCT
fumecheng-10736	484	24	medium	medium	NOUN
fumecheng-10736	484	25	stiffness	stiffness	NOUN
fumecheng-10736	484	26	kes	ke	NOUN
fumecheng-10736	484	27	.	.	PUNCT
fumecheng-10736	485	1	the	the	DET
fumecheng-10736	485	2	couple	couple	NOUN
fumecheng-10736	485	3	-	-	PUNCT
fumecheng-10736	485	4	stress	stress	NOUN
fumecheng-10736	485	5	material	material	NOUN
fumecheng-10736	485	6	parameter	parameter	NOUN
fumecheng-10736	485	7	lm	lm	PROPN
fumecheng-10736	485	8	is	be	AUX
fumecheng-10736	485	9	held	hold	VERB
fumecheng-10736	485	10	constant	constant	ADJ
fumecheng-10736	485	11	at	at	ADP
fumecheng-10736	485	12	100	100	NUM
fumecheng-10736	485	13	nm	nm	NOUN
fumecheng-10736	485	14	.	.	PUNCT
fumecheng-10736	486	1	the	the	DET
fumecheng-10736	486	2	normalized	normalize	VERB
fumecheng-10736	486	3	beam	beam	ADJ
fumecheng-10736	486	4	-	-	PUNCT
fumecheng-10736	486	5	depth	depth	NOUN
fumecheng-10736	486	6	parameter	parameter	NOUN
fumecheng-10736	486	7	h	h	NOUN
fumecheng-10736	486	8	/	/	SYM
fumecheng-10736	486	9	lm	lm	PROPN
fumecheng-10736	486	10	is	be	AUX
fumecheng-10736	486	11	employed	employ	VERB
fumecheng-10736	486	12	to	to	PART
fumecheng-10736	486	13	vary	vary	VERB
fumecheng-10736	486	14	the	the	DET
fumecheng-10736	486	15	beam	beam	NOUN
fumecheng-10736	486	16	depth	depth	NOUN
fumecheng-10736	486	17	h	h	NOUN
fumecheng-10736	486	18	and	and	CCONJ
fumecheng-10736	486	19	ranges	range	VERB
fumecheng-10736	486	20	from	from	ADP
fumecheng-10736	486	21	0.2	0.2	NUM
fumecheng-10736	486	22	to	to	ADP
fumecheng-10736	486	23	4	4	NUM
fumecheng-10736	486	24	;	;	PUNCT
fumecheng-10736	486	25	the	the	DET
fumecheng-10736	486	26	normalized	normalize	VERB
fumecheng-10736	486	27	material	material	NOUN
fumecheng-10736	486	28	length	length	NOUN
fumecheng-10736	486	29	-	-	PUNCT
fumecheng-10736	486	30	scale	scale	NOUN
fumecheng-10736	486	31	parameter	parameter	NOUN
fumecheng-10736	486	32	ls	ls	PROPN
fumecheng-10736	486	33	/	/	SYM
fumecheng-10736	486	34	lm	lm	PROPN
fumecheng-10736	486	35	is	be	AUX
fumecheng-10736	486	36	employed	employ	VERB
fumecheng-10736	486	37	to	to	PART
fumecheng-10736	486	38	examine	examine	VERB
fumecheng-10736	486	39	the	the	DET
fumecheng-10736	486	40	strain	strain	NOUN
fumecheng-10736	486	41	-	-	PUNCT
fumecheng-10736	486	42	gradient	gradient	NOUN
fumecheng-10736	486	43	effect	effect	NOUN
fumecheng-10736	486	44	and	and	CCONJ
fumecheng-10736	486	45	varies	vary	VERB
fumecheng-10736	486	46	from	from	ADP
fumecheng-10736	486	47	0.2	0.2	NUM
fumecheng-10736	486	48	to	to	ADP
fumecheng-10736	486	49	1.2	1.2	NUM
fumecheng-10736	486	50	;	;	PUNCT
fumecheng-10736	486	51	and	and	CCONJ
fumecheng-10736	486	52	the	the	DET
fumecheng-10736	486	53	nondimensional	nondimensional	ADJ
fumecheng-10736	486	54	substrate	substrate	NOUN
fumecheng-10736	486	55	-	-	PUNCT
fumecheng-10736	486	56	medium	medium	NOUN
fumecheng-10736	486	57	stiffness	stiffness	NOUN
fumecheng-10736	486	58	esk	esk	NOUN
fumecheng-10736	486	59	=	=	NOUN
fumecheng-10736	486	60	kesl4/	kesl4/	PROPN
fumecheng-10736	486	61	(	(	PUNCT
fumecheng-10736	486	62	)	)	PUNCT
fumecheng-10736	486	63	l	l	NOUN
fumecheng-10736	486	64	effei	effei	NOUN
fumecheng-10736	486	65	is	be	AUX
fumecheng-10736	486	66	employed	employ	VERB
fumecheng-10736	486	67	to	to	PART
fumecheng-10736	486	68	vary	vary	VERB
fumecheng-10736	486	69	the	the	DET
fumecheng-10736	486	70	substratemedium	substratemedium	NOUN
fumecheng-10736	486	71	stiffness	stiffness	NOUN
fumecheng-10736	486	72	kes	ke	NOUN
fumecheng-10736	486	73	and	and	CCONJ
fumecheng-10736	486	74	ranges	range	VERB
fumecheng-10736	486	75	from	from	ADP
fumecheng-10736	486	76	1	1	NUM
fumecheng-10736	486	77	to	to	PART
fumecheng-10736	486	78	10	10	NUM
fumecheng-10736	486	79	.	.	PUNCT
fumecheng-10736	487	1	1,000l	1,000l	NUM
fumecheng-10736	487	2	nm=	nm=	NOUN
fumecheng-10736	487	3	(	(	PUNCT
fumecheng-10736	487	4	)	)	PUNCT
fumecheng-10736	487	5	0,y	0,y	NOUN
fumecheng-10736	487	6	v	v	NOUN
fumecheng-10736	487	7	x	x	SYM
fumecheng-10736	487	8	x	x	SYM
fumecheng-10736	487	9	esk	esk	NOUN
fumecheng-10736	487	10	4	4	NUM
fumecheng-10736	487	11	3	3	NUM
fumecheng-10736	487	12	2	2	NUM
fumecheng-10736	487	13	2	2	NUM
fumecheng-10736	487	14	;	;	PUNCT
fumecheng-10736	487	15	;	;	PUNCT
fumecheng-10736	487	16	;	;	PUNCT
fumecheng-10736	487	17	2	2	NUM
fumecheng-10736	487	18	12	12	NUM
fumecheng-10736	487	19	3	3	NUM
fumecheng-10736	487	20	h	h	NOUN
fumecheng-10736	487	21	h	h	NOUN
fumecheng-10736	488	1	a	a	DET
fumecheng-10736	488	2	h	h	NOUN
fumecheng-10736	489	1	i	i	PRON
fumecheng-10736	489	2	i	i	PRON
fumecheng-10736	489	3	s	s	VERB
fumecheng-10736	489	4	h	h	NOUN
fumecheng-10736	489	5	=	=	ADV
fumecheng-10736	489	6	=	=	PUNCT
fumecheng-10736	489	7	=	=	SYM
fumecheng-10736	489	8	=	=	PUNCT
fumecheng-10736	489	9	z	z	NOUN
fumecheng-10736	489	10	y	y	PROPN
fumecheng-10736	489	11	beam	beam	PROPN
fumecheng-10736	489	12	section	section	PROPN
fumecheng-10736	489	13	h	h	PROPN
fumecheng-10736	489	14	hcrp	hcrp	PROPN
fumecheng-10736	489	15	fig	fig	PROPN
fumecheng-10736	489	16	.	.	PUNCT
fumecheng-10736	490	1	7	7	NUM
fumecheng-10736	490	2	simulation	simulation	PROPN
fumecheng-10736	490	3	ii	ii	PROPN
fumecheng-10736	490	4	:	:	PUNCT
fumecheng-10736	490	5	buckling	buckle	VERB
fumecheng-10736	490	6	analysis	analysis	NOUN
fumecheng-10736	490	7	the	the	DET
fumecheng-10736	490	8	variation	variation	NOUN
fumecheng-10736	490	9	of	of	ADP
fumecheng-10736	490	10	the	the	DET
fumecheng-10736	490	11	normalized	normalize	VERB
fumecheng-10736	490	12	buckling	buckling	NOUN
fumecheng-10736	490	13	load	load	NOUN
fumecheng-10736	490	14	/proposed	/proposed	PUNCT
fumecheng-10736	490	15	classical	classical	ADJ
fumecheng-10736	490	16	cr	cr	PROPN
fumecheng-10736	490	17	cr	cr	PROPN
fumecheng-10736	490	18	crp	crp	PROPN
fumecheng-10736	490	19	p	p	PROPN
fumecheng-10736	490	20	=	=	PUNCT
fumecheng-10736	490	21	with	with	ADP
fumecheng-10736	490	22	all	all	DET
fumecheng-10736	490	23	aforementioned	aforementioned	ADJ
fumecheng-10736	490	24	system	system	NOUN
fumecheng-10736	490	25	parameters	parameter	NOUN
fumecheng-10736	490	26	is	be	AUX
fumecheng-10736	490	27	presented	present	VERB
fumecheng-10736	490	28	in	in	ADP
fumecheng-10736	490	29	fig	fig	NOUN
fumecheng-10736	490	30	.	.	PUNCT
fumecheng-10736	491	1	8	8	NUM
fumecheng-10736	491	2	.	.	PUNCT
fumecheng-10736	492	1	the	the	DET
fumecheng-10736	492	2	“	"	PUNCT
fumecheng-10736	492	3	classical	classical	ADJ
fumecheng-10736	492	4	”	"	PUNCT
fumecheng-10736	492	5	buckling	buckling	NOUN
fumecheng-10736	492	6	load	load	NOUN
fumecheng-10736	492	7	classical	classical	ADJ
fumecheng-10736	492	8	crp	crp	PROPN
fumecheng-10736	492	9	is	be	AUX
fumecheng-10736	492	10	obtained	obtain	VERB
fumecheng-10736	492	11	with	with	ADP
fumecheng-10736	492	12	the	the	DET
fumecheng-10736	492	13	beam	beam	NOUN
fumecheng-10736	492	14	-	-	PUNCT
fumecheng-10736	492	15	substrate	substrate	NOUN
fumecheng-10736	492	16	medium	medium	NOUN
fumecheng-10736	492	17	model	model	NOUN
fumecheng-10736	492	18	in	in	ADP
fumecheng-10736	492	19	which	which	PRON
fumecheng-10736	492	20	the	the	DET
fumecheng-10736	492	21	material	material	NOUN
fumecheng-10736	492	22	smallscale	smallscale	NOUN
fumecheng-10736	492	23	and	and	CCONJ
fumecheng-10736	492	24	surface	surface	NOUN
fumecheng-10736	492	25	-	-	PUNCT
fumecheng-10736	492	26	energy	energy	NOUN
fumecheng-10736	492	27	effects	effect	NOUN
fumecheng-10736	492	28	are	be	AUX
fumecheng-10736	492	29	all	all	PRON
fumecheng-10736	492	30	neglected	neglect	VERB
fumecheng-10736	492	31	.	.	PUNCT
fumecheng-10736	493	1	clearly	clearly	ADV
fumecheng-10736	493	2	,	,	PUNCT
fumecheng-10736	493	3	decreasing	decrease	VERB
fumecheng-10736	493	4	beam	beam	NOUN
fumecheng-10736	493	5	depth	depth	NOUN
fumecheng-10736	493	6	h	h	NOUN
fumecheng-10736	493	7	and	and	CCONJ
fumecheng-10736	493	8	increasing	increase	VERB
fumecheng-10736	493	9	strain	strain	NOUN
fumecheng-10736	493	10	-	-	PUNCT
fumecheng-10736	493	11	gradient	gradient	NOUN
fumecheng-10736	493	12	material	material	NOUN
fumecheng-10736	493	13	parameter	parameter	NOUN
fumecheng-10736	493	14	ls	ls	ADP
fumecheng-10736	493	15	both	both	PRON
fumecheng-10736	493	16	magnify	magnify	VERB
fumecheng-10736	493	17	the	the	DET
fumecheng-10736	493	18	normalized	normalize	VERB
fumecheng-10736	493	19	buckling	buckling	NOUN
fumecheng-10736	493	20	load	load	NOUN
fumecheng-10736	493	21	cr	cr	ADV
fumecheng-10736	493	22	,	,	PUNCT
fumecheng-10736	493	23	especially	especially	ADV
fumecheng-10736	493	24	for	for	ADP
fumecheng-10736	493	25	lower	low	ADJ
fumecheng-10736	493	26	values	value	NOUN
fumecheng-10736	493	27	of	of	ADP
fumecheng-10736	493	28	non	non	ADJ
fumecheng-10736	493	29	-	-	ADJ
fumecheng-10736	493	30	dimensional	dimensional	ADJ
fumecheng-10736	493	31	substrate	substrate	NOUN
fumecheng-10736	493	32	-	-	PUNCT
fumecheng-10736	493	33	medium	medium	NOUN
fumecheng-10736	493	34	stiffness	stiffness	NOUN
fumecheng-10736	493	35	esk	esk	NOUN
fumecheng-10736	493	36	(	(	PUNCT
fumecheng-10736	493	37	softer	soft	ADJ
fumecheng-10736	493	38	substrate	substrate	NOUN
fumecheng-10736	493	39	media	medium	NOUN
fumecheng-10736	493	40	)	)	PUNCT
fumecheng-10736	493	41	.	.	PUNCT
fumecheng-10736	494	1	however	however	ADV
fumecheng-10736	494	2	,	,	PUNCT
fumecheng-10736	494	3	different	different	ADJ
fumecheng-10736	494	4	degrees	degree	NOUN
fumecheng-10736	494	5	of	of	ADP
fumecheng-10736	494	6	magnification	magnification	NOUN
fumecheng-10736	494	7	are	be	AUX
fumecheng-10736	494	8	observed	observe	VERB
fumecheng-10736	494	9	for	for	ADP
fumecheng-10736	494	10	580	580	NUM
fumecheng-10736	494	11	s.	s.	PROPN
fumecheng-10736	494	12	limkatanyu	limkatanyu	PROPN
fumecheng-10736	494	13	,	,	PUNCT
fumecheng-10736	494	14	w.	w.	PROPN
fumecheng-10736	494	15	sae	sae	PROPN
fumecheng-10736	494	16	-	-	PROPN
fumecheng-10736	494	17	long	long	ADV
fumecheng-10736	494	18	,	,	PUNCT
fumecheng-10736	494	19	j.	j.	PROPN
fumecheng-10736	494	20	rungamornrat	rungamornrat	PROPN
fumecheng-10736	494	21	,	,	PUNCT
fumecheng-10736	494	22	et	et	PROPN
fumecheng-10736	494	23	al	al	PROPN
fumecheng-10736	494	24	.	.	PUNCT
fumecheng-10736	495	1	these	these	DET
fumecheng-10736	495	2	two	two	NUM
fumecheng-10736	495	3	parameters	parameter	NOUN
fumecheng-10736	495	4	.	.	PUNCT
fumecheng-10736	496	1	the	the	DET
fumecheng-10736	496	2	buckling	buckle	VERB
fumecheng-10736	496	3	-	-	PUNCT
fumecheng-10736	496	4	load	load	NOUN
fumecheng-10736	496	5	magnification	magnification	NOUN
fumecheng-10736	496	6	associated	associate	VERB
fumecheng-10736	496	7	with	with	ADP
fumecheng-10736	496	8	decreasing	decrease	VERB
fumecheng-10736	496	9	beam	beam	NOUN
fumecheng-10736	496	10	depth	depth	NOUN
fumecheng-10736	496	11	h	h	NOUN
fumecheng-10736	496	12	is	be	AUX
fumecheng-10736	496	13	more	more	ADV
fumecheng-10736	496	14	pronounced	pronounced	ADJ
fumecheng-10736	496	15	than	than	ADP
fumecheng-10736	496	16	that	that	PRON
fumecheng-10736	496	17	associated	associate	VERB
fumecheng-10736	496	18	with	with	ADP
fumecheng-10736	496	19	increasing	increase	VERB
fumecheng-10736	496	20	strain	strain	NOUN
fumecheng-10736	496	21	-	-	PUNCT
fumecheng-10736	496	22	gradient	gradient	NOUN
fumecheng-10736	496	23	material	material	NOUN
fumecheng-10736	496	24	parameter	parameter	NOUN
fumecheng-10736	496	25	ls	ls	PROPN
fumecheng-10736	496	26	.	.	PUNCT
fumecheng-10736	497	1	it	it	PRON
fumecheng-10736	497	2	is	be	AUX
fumecheng-10736	497	3	worth	worth	ADJ
fumecheng-10736	497	4	pointing	point	VERB
fumecheng-10736	497	5	out	out	ADP
fumecheng-10736	497	6	that	that	SCONJ
fumecheng-10736	497	7	decreasing	decrease	VERB
fumecheng-10736	497	8	beam	beam	NOUN
fumecheng-10736	497	9	depth	depth	NOUN
fumecheng-10736	497	10	h	h	NOUN
fumecheng-10736	497	11	results	result	VERB
fumecheng-10736	497	12	in	in	ADP
fumecheng-10736	497	13	a	a	DET
fumecheng-10736	497	14	larger	large	ADJ
fumecheng-10736	497	15	beam	beam	NOUN
fumecheng-10736	497	16	surface	surface	NOUN
fumecheng-10736	497	17	-	-	PUNCT
fumecheng-10736	497	18	area	area	NOUN
fumecheng-10736	497	19	/	/	SYM
fumecheng-10736	497	20	section	section	NOUN
fumecheng-10736	497	21	-	-	PUNCT
fumecheng-10736	497	22	area	area	NOUN
fumecheng-10736	497	23	ratio	ratio	NOUN
fumecheng-10736	497	24	(	(	PUNCT
fumecheng-10736	497	25	as	as	ADP
fumecheng-10736	497	26	/	/	SYM
fumecheng-10736	497	27	ab	ab	NOUN
fumecheng-10736	497	28	)	)	PUNCT
fumecheng-10736	497	29	and	and	CCONJ
fumecheng-10736	497	30	renders	render	VERB
fumecheng-10736	497	31	the	the	DET
fumecheng-10736	497	32	beam	beam	NOUN
fumecheng-10736	497	33	thickness	thickness	NOUN
fumecheng-10736	497	34	smaller	small	ADJ
fumecheng-10736	497	35	when	when	SCONJ
fumecheng-10736	497	36	compared	compare	VERB
fumecheng-10736	497	37	to	to	ADP
fumecheng-10736	497	38	the	the	DET
fumecheng-10736	497	39	couple	couple	NOUN
fumecheng-10736	497	40	-	-	PUNCT
fumecheng-10736	497	41	stress	stress	NOUN
fumecheng-10736	497	42	material	material	NOUN
fumecheng-10736	497	43	parameter	parameter	NOUN
fumecheng-10736	497	44	lm	lm	INTJ
fumecheng-10736	497	45	.	.	PUNCT
fumecheng-10736	498	1	the	the	DET
fumecheng-10736	498	2	first	first	ADJ
fumecheng-10736	498	3	one	one	NOUN
fumecheng-10736	498	4	amplifies	amplify	VERB
fumecheng-10736	498	5	the	the	DET
fumecheng-10736	498	6	system	system	NOUN
fumecheng-10736	498	7	stiffening	stiffen	VERB
fumecheng-10736	498	8	phenomenon	phenomenon	NOUN
fumecheng-10736	498	9	induced	induce	VERB
fumecheng-10736	498	10	by	by	ADP
fumecheng-10736	498	11	the	the	DET
fumecheng-10736	498	12	surface	surface	NOUN
fumecheng-10736	498	13	-	-	PUNCT
fumecheng-10736	498	14	energy	energy	NOUN
fumecheng-10736	498	15	effect	effect	NOUN
fumecheng-10736	498	16	while	while	SCONJ
fumecheng-10736	498	17	the	the	DET
fumecheng-10736	498	18	second	second	ADJ
fumecheng-10736	498	19	one	one	NOUN
fumecheng-10736	498	20	magnifies	magnify	VERB
fumecheng-10736	498	21	the	the	DET
fumecheng-10736	498	22	system	system	NOUN
fumecheng-10736	498	23	stiffening	stiffen	VERB
fumecheng-10736	498	24	phenomenon	phenomenon	NOUN
fumecheng-10736	498	25	associated	associate	VERB
fumecheng-10736	498	26	with	with	ADP
fumecheng-10736	498	27	the	the	DET
fumecheng-10736	498	28	couple	couple	NOUN
fumecheng-10736	498	29	-	-	PUNCT
fumecheng-10736	498	30	stress	stress	NOUN
fumecheng-10736	498	31	effect	effect	NOUN
fumecheng-10736	498	32	.	.	PUNCT
fumecheng-10736	499	1	0	0	NUM
fumecheng-10736	499	2	0	0	NUM
fumecheng-10736	500	1	.2	.2	NUM
fumecheng-10736	500	2	0	0	NUM
fumecheng-10736	501	1	.4	.4	NUM
fumecheng-10736	501	2	0	0	NUM
fumecheng-10736	502	1	.6	.6	NUM
fumecheng-10736	502	2	0	0	NUM
fumecheng-10736	502	3	.8	.8	NUM
fumecheng-10736	502	4	1	1	NUM
fumecheng-10736	502	5	1	1	NUM
fumecheng-10736	502	6	.2	.2	NUM
fumecheng-10736	502	7	0	0	NUM
fumecheng-10736	502	8	10	10	NUM
fumecheng-10736	502	9	20	20	NUM
fumecheng-10736	502	10	30	30	NUM
fumecheng-10736	502	11	40	40	NUM
fumecheng-10736	502	12	50	50	NUM
fumecheng-10736	502	13	60	60	NUM
fumecheng-10736	502	14	70	70	NUM
fumecheng-10736	502	15	80	80	NUM
fumecheng-10736	502	16	0	0	NUM
fumecheng-10736	503	1	.2	.2	NUM
fumecheng-10736	503	2	0	0	NUM
fumecheng-10736	504	1	.4	.4	NUM
fumecheng-10736	504	2	0	0	NUM
fumecheng-10736	505	1	.6	.6	NUM
fumecheng-10736	505	2	0	0	NUM
fumecheng-10736	505	3	.8	.8	NUM
fumecheng-10736	505	4	1	1	NUM
fumecheng-10736	505	5	1	1	NUM
fumecheng-10736	505	6	.5	.5	NUM
fumecheng-10736	505	7	2	2	NUM
fumecheng-10736	505	8	4	4	NUM
fumecheng-10736	505	9	70	70	NUM
fumecheng-10736	505	10	-	-	SYM
fumecheng-10736	505	11	80	80	NUM
fumecheng-10736	505	12	60	60	NUM
fumecheng-10736	505	13	-	-	SYM
fumecheng-10736	505	14	70	70	NUM
fumecheng-10736	505	15	50	50	NUM
fumecheng-10736	505	16	-	-	SYM
fumecheng-10736	505	17	60	60	NUM
fumecheng-10736	505	18	40	40	NUM
fumecheng-10736	505	19	-	-	SYM
fumecheng-10736	505	20	50	50	NUM
fumecheng-10736	505	21	30	30	NUM
fumecheng-10736	505	22	-	-	SYM
fumecheng-10736	505	23	40	40	NUM
fumecheng-10736	505	24	20	20	NUM
fumecheng-10736	505	25	-	-	SYM
fumecheng-10736	505	26	30	30	NUM
fumecheng-10736	505	27	10	10	NUM
fumecheng-10736	505	28	-	-	SYM
fumecheng-10736	505	29	20	20	NUM
fumecheng-10736	505	30	0	0	NUM
fumecheng-10736	505	31	-	-	SYM
fumecheng-10736	505	32	10	10	NUM
fumecheng-10736	505	33	1esk	1esk	NOUN
fumecheng-10736	505	34	=	=	SYM
fumecheng-10736	505	35	ξ	ξ	PROPN
fumecheng-10736	505	36	cr	cr	NOUN
fumecheng-10736	505	37	0	0	NUM
fumecheng-10736	505	38	0	0	NUM
fumecheng-10736	506	1	.2	.2	NUM
fumecheng-10736	506	2	0	0	NUM
fumecheng-10736	507	1	.4	.4	NUM
fumecheng-10736	507	2	0	0	NUM
fumecheng-10736	508	1	.6	.6	NUM
fumecheng-10736	508	2	0	0	NUM
fumecheng-10736	508	3	.8	.8	NUM
fumecheng-10736	508	4	1	1	NUM
fumecheng-10736	508	5	1	1	NUM
fumecheng-10736	508	6	.2	.2	NUM
fumecheng-10736	508	7	0	0	NUM
fumecheng-10736	508	8	10	10	NUM
fumecheng-10736	508	9	20	20	NUM
fumecheng-10736	508	10	30	30	NUM
fumecheng-10736	508	11	40	40	NUM
fumecheng-10736	508	12	50	50	NUM
fumecheng-10736	508	13	60	60	NUM
fumecheng-10736	508	14	70	70	NUM
fumecheng-10736	508	15	80	80	NUM
fumecheng-10736	508	16	0	0	NUM
fumecheng-10736	509	1	.2	.2	NUM
fumecheng-10736	509	2	0	0	NUM
fumecheng-10736	510	1	.4	.4	NUM
fumecheng-10736	510	2	0	0	NUM
fumecheng-10736	511	1	.6	.6	NUM
fumecheng-10736	511	2	0	0	NUM
fumecheng-10736	511	3	.8	.8	NUM
fumecheng-10736	511	4	1	1	NUM
fumecheng-10736	511	5	1	1	NUM
fumecheng-10736	511	6	.5	.5	NUM
fumecheng-10736	511	7	2	2	NUM
fumecheng-10736	511	8	4	4	NUM
fumecheng-10736	511	9	70	70	NUM
fumecheng-10736	511	10	-	-	SYM
fumecheng-10736	511	11	80	80	NUM
fumecheng-10736	511	12	60	60	NUM
fumecheng-10736	511	13	-	-	SYM
fumecheng-10736	511	14	70	70	NUM
fumecheng-10736	511	15	50	50	NUM
fumecheng-10736	511	16	-	-	SYM
fumecheng-10736	511	17	60	60	NUM
fumecheng-10736	511	18	40	40	NUM
fumecheng-10736	511	19	-	-	SYM
fumecheng-10736	511	20	50	50	NUM
fumecheng-10736	511	21	30	30	NUM
fumecheng-10736	511	22	-	-	SYM
fumecheng-10736	511	23	40	40	NUM
fumecheng-10736	511	24	20	20	NUM
fumecheng-10736	511	25	-	-	SYM
fumecheng-10736	511	26	30	30	NUM
fumecheng-10736	511	27	10	10	NUM
fumecheng-10736	511	28	-	-	SYM
fumecheng-10736	511	29	20	20	NUM
fumecheng-10736	511	30	0	0	NUM
fumecheng-10736	511	31	-	-	SYM
fumecheng-10736	511	32	10	10	NUM
fumecheng-10736	511	33	4esk	4esk	NUM
fumecheng-10736	511	34	=	=	SYM
fumecheng-10736	511	35	ξ	ξ	PROPN
fumecheng-10736	511	36	cr	cr	PROPN
fumecheng-10736	511	37	(	(	PUNCT
fumecheng-10736	511	38	a	a	NOUN
fumecheng-10736	511	39	)	)	PUNCT
fumecheng-10736	511	40	(	(	PUNCT
fumecheng-10736	511	41	b	b	X
fumecheng-10736	511	42	)	)	PUNCT
fumecheng-10736	511	43	0	0	NUM
fumecheng-10736	511	44	0	0	NUM
fumecheng-10736	512	1	.2	.2	NUM
fumecheng-10736	512	2	0	0	NUM
fumecheng-10736	513	1	.4	.4	NUM
fumecheng-10736	513	2	0	0	NUM
fumecheng-10736	514	1	.6	.6	NUM
fumecheng-10736	514	2	0	0	NUM
fumecheng-10736	514	3	.8	.8	NUM
fumecheng-10736	514	4	1	1	NUM
fumecheng-10736	514	5	1	1	NUM
fumecheng-10736	514	6	.2	.2	NUM
fumecheng-10736	514	7	0	0	NUM
fumecheng-10736	514	8	10	10	NUM
fumecheng-10736	514	9	20	20	NUM
fumecheng-10736	514	10	30	30	NUM
fumecheng-10736	514	11	40	40	NUM
fumecheng-10736	514	12	50	50	NUM
fumecheng-10736	514	13	60	60	NUM
fumecheng-10736	514	14	70	70	NUM
fumecheng-10736	514	15	80	80	NUM
fumecheng-10736	514	16	0	0	NUM
fumecheng-10736	515	1	.2	.2	NUM
fumecheng-10736	515	2	0	0	NUM
fumecheng-10736	516	1	.4	.4	NUM
fumecheng-10736	516	2	0	0	NUM
fumecheng-10736	517	1	.6	.6	NUM
fumecheng-10736	517	2	0	0	NUM
fumecheng-10736	517	3	.8	.8	NUM
fumecheng-10736	517	4	1	1	NUM
fumecheng-10736	517	5	1	1	NUM
fumecheng-10736	517	6	.5	.5	NUM
fumecheng-10736	517	7	2	2	NUM
fumecheng-10736	517	8	4	4	NUM
fumecheng-10736	517	9	70	70	NUM
fumecheng-10736	517	10	-	-	SYM
fumecheng-10736	517	11	80	80	NUM
fumecheng-10736	517	12	60	60	NUM
fumecheng-10736	517	13	-	-	SYM
fumecheng-10736	517	14	70	70	NUM
fumecheng-10736	517	15	50	50	NUM
fumecheng-10736	517	16	-	-	SYM
fumecheng-10736	517	17	60	60	NUM
fumecheng-10736	517	18	40	40	NUM
fumecheng-10736	517	19	-	-	SYM
fumecheng-10736	517	20	50	50	NUM
fumecheng-10736	517	21	30	30	NUM
fumecheng-10736	517	22	-	-	SYM
fumecheng-10736	517	23	40	40	NUM
fumecheng-10736	517	24	20	20	NUM
fumecheng-10736	517	25	-	-	SYM
fumecheng-10736	517	26	30	30	NUM
fumecheng-10736	517	27	10	10	NUM
fumecheng-10736	517	28	-	-	SYM
fumecheng-10736	517	29	20	20	NUM
fumecheng-10736	517	30	0	0	NUM
fumecheng-10736	517	31	-	-	SYM
fumecheng-10736	517	32	10	10	NUM
fumecheng-10736	517	33	7esk	7esk	NUM
fumecheng-10736	517	34	=	=	SYM
fumecheng-10736	517	35	ξ	ξ	PROPN
fumecheng-10736	517	36	cr	cr	NOUN
fumecheng-10736	517	37	0	0	NUM
fumecheng-10736	517	38	0	0	NUM
fumecheng-10736	518	1	.2	.2	NUM
fumecheng-10736	518	2	0	0	NUM
fumecheng-10736	519	1	.4	.4	NUM
fumecheng-10736	519	2	0	0	NUM
fumecheng-10736	520	1	.6	.6	NUM
fumecheng-10736	520	2	0	0	NUM
fumecheng-10736	520	3	.8	.8	NUM
fumecheng-10736	520	4	1	1	NUM
fumecheng-10736	520	5	1	1	NUM
fumecheng-10736	520	6	.2	.2	NUM
fumecheng-10736	520	7	0	0	NUM
fumecheng-10736	520	8	10	10	NUM
fumecheng-10736	520	9	20	20	NUM
fumecheng-10736	520	10	30	30	NUM
fumecheng-10736	520	11	40	40	NUM
fumecheng-10736	520	12	50	50	NUM
fumecheng-10736	520	13	60	60	NUM
fumecheng-10736	520	14	70	70	NUM
fumecheng-10736	520	15	80	80	NUM
fumecheng-10736	520	16	0	0	NUM
fumecheng-10736	521	1	.2	.2	NUM
fumecheng-10736	521	2	0	0	NUM
fumecheng-10736	522	1	.4	.4	NUM
fumecheng-10736	522	2	0	0	NUM
fumecheng-10736	523	1	.6	.6	NUM
fumecheng-10736	523	2	0	0	NUM
fumecheng-10736	523	3	.8	.8	NUM
fumecheng-10736	523	4	1	1	NUM
fumecheng-10736	523	5	1	1	NUM
fumecheng-10736	523	6	.5	.5	NUM
fumecheng-10736	523	7	2	2	NUM
fumecheng-10736	523	8	4	4	NUM
fumecheng-10736	523	9	70	70	NUM
fumecheng-10736	523	10	-	-	SYM
fumecheng-10736	523	11	80	80	NUM
fumecheng-10736	523	12	60	60	NUM
fumecheng-10736	523	13	-	-	SYM
fumecheng-10736	523	14	70	70	NUM
fumecheng-10736	523	15	50	50	NUM
fumecheng-10736	523	16	-	-	SYM
fumecheng-10736	523	17	60	60	NUM
fumecheng-10736	523	18	40	40	NUM
fumecheng-10736	523	19	-	-	SYM
fumecheng-10736	523	20	50	50	NUM
fumecheng-10736	523	21	30	30	NUM
fumecheng-10736	523	22	-	-	SYM
fumecheng-10736	523	23	40	40	NUM
fumecheng-10736	523	24	20	20	NUM
fumecheng-10736	523	25	-	-	SYM
fumecheng-10736	523	26	30	30	NUM
fumecheng-10736	523	27	10	10	NUM
fumecheng-10736	523	28	-	-	SYM
fumecheng-10736	523	29	20	20	NUM
fumecheng-10736	523	30	0	0	NUM
fumecheng-10736	523	31	-	-	SYM
fumecheng-10736	523	32	10	10	NUM
fumecheng-10736	523	33	10esk	10esk	NOUN
fumecheng-10736	523	34	=	=	SYM
fumecheng-10736	523	35	ξ	ξ	PROPN
fumecheng-10736	523	36	cr	cr	PROPN
fumecheng-10736	523	37	(	(	PUNCT
fumecheng-10736	523	38	c	c	NOUN
fumecheng-10736	523	39	)	)	PUNCT
fumecheng-10736	523	40	(	(	PUNCT
fumecheng-10736	523	41	d	d	X
fumecheng-10736	523	42	)	)	PUNCT
fumecheng-10736	523	43	fig	fig	NOUN
fumecheng-10736	523	44	.	.	PUNCT
fumecheng-10736	523	45	8	8	NUM
fumecheng-10736	523	46	normalized	normalize	VERB
fumecheng-10736	523	47	buckling	buckling	NOUN
fumecheng-10736	523	48	load	load	NOUN
fumecheng-10736	523	49	ξcr	ξcr	NOUN
fumecheng-10736	523	50	with	with	ADP
fumecheng-10736	523	51	variation	variation	NOUN
fumecheng-10736	523	52	of	of	ADP
fumecheng-10736	523	53	normalized	normalize	VERB
fumecheng-10736	523	54	parameters	parameter	NOUN
fumecheng-10736	523	55	ls	ls	PROPN
fumecheng-10736	523	56	/	/	SYM
fumecheng-10736	523	57	lm	lm	PROPN
fumecheng-10736	523	58	and	and	CCONJ
fumecheng-10736	523	59	h/	h/	NOUN
fumecheng-10736	524	1	lm	lm	INTJ
fumecheng-10736	524	2	:	:	PUNCT
fumecheng-10736	524	3	(	(	PUNCT
fumecheng-10736	524	4	a	a	X
fumecheng-10736	524	5	)	)	PUNCT
fumecheng-10736	524	6	esk	esk	NOUN
fumecheng-10736	524	7	=	=	SYM
fumecheng-10736	524	8	1	1	NUM
fumecheng-10736	524	9	,	,	PUNCT
fumecheng-10736	524	10	(	(	PUNCT
fumecheng-10736	524	11	b	b	X
fumecheng-10736	524	12	)	)	PUNCT
fumecheng-10736	524	13	esk	esk	NOUN
fumecheng-10736	524	14	=	=	NOUN
fumecheng-10736	524	15	4	4	NUM
fumecheng-10736	524	16	,	,	PUNCT
fumecheng-10736	524	17	(	(	PUNCT
fumecheng-10736	524	18	c	c	X
fumecheng-10736	524	19	)	)	PUNCT
fumecheng-10736	524	20	esk	esk	NOUN
fumecheng-10736	524	21	=	=	SYM
fumecheng-10736	524	22	7	7	NUM
fumecheng-10736	524	23	,	,	PUNCT
fumecheng-10736	524	24	and	and	CCONJ
fumecheng-10736	524	25	(	(	PUNCT
fumecheng-10736	524	26	d	d	X
fumecheng-10736	524	27	)	)	PUNCT
fumecheng-10736	524	28	esk	esk	NOUN
fumecheng-10736	524	29	=	=	NOUN
fumecheng-10736	524	30	10	10	NUM
fumecheng-10736	524	31	7.3	7.3	NUM
fumecheng-10736	524	32	.	.	PUNCT
fumecheng-10736	525	1	simulation	simulation	PROPN
fumecheng-10736	525	2	iii	iii	PROPN
fumecheng-10736	525	3	:	:	PUNCT
fumecheng-10736	525	4	free	free	ADJ
fumecheng-10736	525	5	vibration	vibration	NOUN
fumecheng-10736	525	6	analysis	analysis	NOUN
fumecheng-10736	525	7	the	the	DET
fumecheng-10736	525	8	third	third	ADJ
fumecheng-10736	525	9	simulation	simulation	NOUN
fumecheng-10736	525	10	performs	perform	VERB
fumecheng-10736	525	11	parametric	parametric	ADJ
fumecheng-10736	525	12	studies	study	NOUN
fumecheng-10736	525	13	on	on	ADP
fumecheng-10736	525	14	free	free	ADJ
fumecheng-10736	525	15	-	-	PUNCT
fumecheng-10736	525	16	vibration	vibration	NOUN
fumecheng-10736	525	17	responses	response	NOUN
fumecheng-10736	525	18	of	of	ADP
fumecheng-10736	525	19	the	the	DET
fumecheng-10736	525	20	simply	simply	ADV
fumecheng-10736	525	21	-	-	PUNCT
fumecheng-10736	525	22	supported	support	VERB
fumecheng-10736	525	23	lead	lead	ADJ
fumecheng-10736	525	24	nanobeam	nanobeam	NOUN
fumecheng-10736	525	25	-	-	PUNCT
fumecheng-10736	525	26	substrate	substrate	NOUN
fumecheng-10736	525	27	medium	medium	NOUN
fumecheng-10736	525	28	system	system	NOUN
fumecheng-10736	525	29	shown	show	VERB
fumecheng-10736	525	30	in	in	ADP
fumecheng-10736	525	31	fig	fig	NOUN
fumecheng-10736	525	32	.	.	PUNCT
fumecheng-10736	526	1	9	9	X
fumecheng-10736	526	2	.	.	X
fumecheng-10736	526	3	the	the	DET
fumecheng-10736	526	4	material	material	NOUN
fumecheng-10736	526	5	and	and	CCONJ
fumecheng-10736	526	6	geometric	geometric	ADJ
fumecheng-10736	526	7	properties	property	NOUN
fumecheng-10736	526	8	of	of	ADP
fumecheng-10736	526	9	this	this	DET
fumecheng-10736	526	10	nanobeam	nanobeam	NOUN
fumecheng-10736	526	11	follow	follow	VERB
fumecheng-10736	526	12	those	those	PRON
fumecheng-10736	526	13	employed	employ	VERB
fumecheng-10736	526	14	in	in	ADP
fumecheng-10736	526	15	the	the	DET
fumecheng-10736	526	16	first	first	ADJ
fumecheng-10736	526	17	and	and	CCONJ
fumecheng-10736	526	18	second	second	ADJ
fumecheng-10736	526	19	simulations	simulation	NOUN
fumecheng-10736	526	20	.	.	PUNCT
fumecheng-10736	527	1	the	the	DET
fumecheng-10736	527	2	mass	mass	ADJ
fumecheng-10736	527	3	density	density	NOUN
fumecheng-10736	527	4	of	of	ADP
fumecheng-10736	527	5	the	the	DET
fumecheng-10736	527	6	lead	lead	ADJ
fumecheng-10736	527	7	nanobeam	nanobeam	NOUN
fumecheng-10736	527	8	is	be	AUX
fumecheng-10736	527	9	11,343	11,343	NUM
fumecheng-10736	527	10	kg	kg	NOUN
fumecheng-10736	527	11	/	/	SYM
fumecheng-10736	527	12	m3	m3	PROPN
fumecheng-10736	527	13	as	as	SCONJ
fumecheng-10736	527	14	provided	provide	VERB
fumecheng-10736	527	15	in	in	ADP
fumecheng-10736	527	16	table	table	NOUN
fumecheng-10736	527	17	1	1	NUM
fumecheng-10736	527	18	.	.	NUM
fumecheng-10736	527	19	investigated	investigate	VERB
fumecheng-10736	527	20	system	system	NOUN
fumecheng-10736	527	21	parameters	parameter	NOUN
fumecheng-10736	527	22	include	include	VERB
fumecheng-10736	527	23	the	the	DET
fumecheng-10736	527	24	beam	beam	ADJ
fumecheng-10736	527	25	depth	depth	NOUN
fumecheng-10736	527	26	h	h	NOUN
fumecheng-10736	527	27	,	,	PUNCT
fumecheng-10736	527	28	the	the	DET
fumecheng-10736	527	29	velocity	velocity	NOUN
fumecheng-10736	527	30	-	-	PUNCT
fumecheng-10736	527	31	gradient	gradient	NOUN
fumecheng-10736	527	32	material	material	NOUN
fumecheng-10736	527	33	parameter	parameter	PROPN
fumecheng-10736	527	34	lv	lv	PROPN
fumecheng-10736	527	35	,	,	PUNCT
fumecheng-10736	527	36	and	and	CCONJ
fumecheng-10736	527	37	the	the	DET
fumecheng-10736	527	38	substrate	substrate	NOUN
fumecheng-10736	527	39	-	-	PUNCT
fumecheng-10736	527	40	medium	medium	NOUN
fumecheng-10736	527	41	stiffness	stiffness	NOUN
fumecheng-10736	527	42	kes	ke	NOUN
fumecheng-10736	527	43	.	.	PUNCT
fumecheng-10736	528	1	the	the	DET
fumecheng-10736	528	2	material	material	NOUN
fumecheng-10736	528	3	length	length	NOUN
fumecheng-10736	528	4	-	-	PUNCT
fumecheng-10736	528	5	scale	scale	NOUN
fumecheng-10736	528	6	parameters	parameter	NOUN
fumecheng-10736	528	7	are	be	AUX
fumecheng-10736	528	8	kept	keep	VERB
fumecheng-10736	528	9	constant	constant	ADJ
fumecheng-10736	528	10	at	at	ADP
fumecheng-10736	528	11	ls	ls	PROPN
fumecheng-10736	528	12	=	=	PROPN
fumecheng-10736	528	13	100	100	NUM
fumecheng-10736	528	14	nm	nm	ADJ
fumecheng-10736	528	15	and	and	CCONJ
fumecheng-10736	528	16	lm	lm	NOUN
fumecheng-10736	528	17	=	=	NOUN
fumecheng-10736	528	18	100	100	NUM
fumecheng-10736	528	19	nm	nm	NOUN
fumecheng-10736	528	20	.	.	PUNCT
fumecheng-10736	529	1	the	the	DET
fumecheng-10736	529	2	slenderness	slenderness	NOUN
fumecheng-10736	529	3	ratio	ratio	NOUN
fumecheng-10736	529	4	l	l	PROPN
fumecheng-10736	529	5	/	/	SYM
fumecheng-10736	529	6	h	h	NOUN
fumecheng-10736	529	7	is	be	AUX
fumecheng-10736	529	8	employed	employ	VERB
fumecheng-10736	529	9	to	to	PART
fumecheng-10736	529	10	vary	vary	VERB
fumecheng-10736	529	11	the	the	DET
fumecheng-10736	529	12	beam	beam	NOUN
fumecheng-10736	529	13	depth	depth	NOUN
fumecheng-10736	529	14	h	h	NOUN
fumecheng-10736	529	15	and	and	CCONJ
fumecheng-10736	529	16	ranges	range	VERB
fumecheng-10736	529	17	from	from	ADP
fumecheng-10736	529	18	5	5	NUM
fumecheng-10736	529	19	to	to	PART
fumecheng-10736	529	20	100	100	NUM
fumecheng-10736	529	21	;	;	PUNCT
fumecheng-10736	529	22	the	the	DET
fumecheng-10736	529	23	normalized	normalize	VERB
fumecheng-10736	529	24	velocity	velocity	NOUN
fumecheng-10736	529	25	bending	bending	NOUN
fumecheng-10736	529	26	,	,	PUNCT
fumecheng-10736	529	27	buckling	buckling	NOUN
fumecheng-10736	529	28	,	,	PUNCT
fumecheng-10736	529	29	and	and	CCONJ
fumecheng-10736	529	30	free	free	ADJ
fumecheng-10736	529	31	vibration	vibration	NOUN
fumecheng-10736	529	32	analyses	analysis	NOUN
fumecheng-10736	529	33	of	of	ADP
fumecheng-10736	529	34	nanobeam	nanobeam	ADJ
fumecheng-10736	529	35	-	-	PUNCT
fumecheng-10736	529	36	substrate	substrate	NOUN
fumecheng-10736	529	37	medium	medium	ADJ
fumecheng-10736	529	38	systems	system	NOUN
fumecheng-10736	529	39	581	581	NUM
fumecheng-10736	529	40	gradient	gradient	NOUN
fumecheng-10736	529	41	material	material	NOUN
fumecheng-10736	529	42	parameter	parameter	NOUN
fumecheng-10736	529	43	lv	lv	PROPN
fumecheng-10736	529	44	/	/	SYM
fumecheng-10736	529	45	lm	lm	PROPN
fumecheng-10736	529	46	is	be	AUX
fumecheng-10736	529	47	employed	employ	VERB
fumecheng-10736	529	48	to	to	PART
fumecheng-10736	529	49	examine	examine	VERB
fumecheng-10736	529	50	the	the	DET
fumecheng-10736	529	51	velocity	velocity	NOUN
fumecheng-10736	529	52	-	-	PUNCT
fumecheng-10736	529	53	gradient	gradient	NOUN
fumecheng-10736	529	54	effect	effect	NOUN
fumecheng-10736	529	55	and	and	CCONJ
fumecheng-10736	529	56	varies	vary	VERB
fumecheng-10736	529	57	from	from	ADP
fumecheng-10736	529	58	1	1	NUM
fumecheng-10736	529	59	to	to	ADP
fumecheng-10736	529	60	20	20	NUM
fumecheng-10736	529	61	;	;	PUNCT
fumecheng-10736	529	62	and	and	CCONJ
fumecheng-10736	529	63	the	the	DET
fumecheng-10736	529	64	non	non	ADJ
fumecheng-10736	529	65	-	-	ADJ
fumecheng-10736	529	66	dimensional	dimensional	ADJ
fumecheng-10736	529	67	substrate	substrate	NOUN
fumecheng-10736	529	68	-	-	PUNCT
fumecheng-10736	529	69	medium	medium	NOUN
fumecheng-10736	529	70	stiffness	stiffness	NOUN
fumecheng-10736	529	71	esk	esk	NOUN
fumecheng-10736	529	72	=	=	NOUN
fumecheng-10736	529	73	kesl4/	kesl4/	PROPN
fumecheng-10736	529	74	(	(	PUNCT
fumecheng-10736	529	75	)	)	PUNCT
fumecheng-10736	529	76	l	l	NOUN
fumecheng-10736	529	77	effei	effei	NOUN
fumecheng-10736	529	78	is	be	AUX
fumecheng-10736	529	79	employed	employ	VERB
fumecheng-10736	529	80	to	to	PART
fumecheng-10736	529	81	vary	vary	VERB
fumecheng-10736	529	82	the	the	DET
fumecheng-10736	529	83	substrate	substrate	NOUN
fumecheng-10736	529	84	-	-	PUNCT
fumecheng-10736	529	85	medium	medium	NOUN
fumecheng-10736	529	86	stiffness	stiffness	NOUN
fumecheng-10736	529	87	kes	ke	NOUN
fumecheng-10736	529	88	and	and	CCONJ
fumecheng-10736	529	89	ranges	range	VERB
fumecheng-10736	529	90	from	from	ADP
fumecheng-10736	529	91	1	1	NUM
fumecheng-10736	529	92	to	to	PART
fumecheng-10736	529	93	10	10	NUM
fumecheng-10736	529	94	.	.	PUNCT
fumecheng-10736	530	1	a	a	DET
fumecheng-10736	530	2	given	give	VERB
fumecheng-10736	530	3	value	value	NOUN
fumecheng-10736	530	4	of	of	ADP
fumecheng-10736	530	5	slenderness	slenderness	NOUN
fumecheng-10736	530	6	ratio	ratio	NOUN
fumecheng-10736	530	7	l	l	PROPN
fumecheng-10736	530	8	/	/	SYM
fumecheng-10736	530	9	h	h	NOUN
fumecheng-10736	530	10	can	can	AUX
fumecheng-10736	530	11	be	be	AUX
fumecheng-10736	530	12	obtained	obtain	VERB
fumecheng-10736	530	13	by	by	ADP
fumecheng-10736	530	14	keeping	keep	VERB
fumecheng-10736	530	15	l	l	NOUN
fumecheng-10736	530	16	=	=	SYM
fumecheng-10736	530	17	1,000	1,000	NUM
fumecheng-10736	530	18	nm	nm	ADJ
fumecheng-10736	530	19	and	and	CCONJ
fumecheng-10736	530	20	varying	vary	VERB
fumecheng-10736	530	21	h.	h.	PROPN
fumecheng-10736	530	22	it	it	PRON
fumecheng-10736	530	23	is	be	AUX
fumecheng-10736	530	24	worth	worth	ADJ
fumecheng-10736	530	25	remarking	remark	VERB
fumecheng-10736	530	26	that	that	SCONJ
fumecheng-10736	530	27	the	the	DET
fumecheng-10736	530	28	system	system	NOUN
fumecheng-10736	530	29	size	size	NOUN
fumecheng-10736	530	30	-	-	PUNCT
fumecheng-10736	530	31	dependency	dependency	NOUN
fumecheng-10736	530	32	associated	associate	VERB
fumecheng-10736	530	33	with	with	ADP
fumecheng-10736	530	34	the	the	DET
fumecheng-10736	530	35	material	material	ADJ
fumecheng-10736	530	36	smallscale	smallscale	NOUN
fumecheng-10736	530	37	effect	effect	NOUN
fumecheng-10736	530	38	and	and	CCONJ
fumecheng-10736	530	39	the	the	DET
fumecheng-10736	530	40	surface	surface	NOUN
fumecheng-10736	530	41	-	-	PUNCT
fumecheng-10736	530	42	energy	energy	NOUN
fumecheng-10736	530	43	effect	effect	NOUN
fumecheng-10736	530	44	is	be	AUX
fumecheng-10736	530	45	reflected	reflect	VERB
fumecheng-10736	530	46	through	through	ADP
fumecheng-10736	530	47	the	the	DET
fumecheng-10736	530	48	variation	variation	NOUN
fumecheng-10736	530	49	of	of	ADP
fumecheng-10736	530	50	the	the	DET
fumecheng-10736	530	51	slenderness	slenderness	NOUN
fumecheng-10736	530	52	ratio	ratio	NOUN
fumecheng-10736	530	53	l	l	PROPN
fumecheng-10736	530	54	/	/	SYM
fumecheng-10736	530	55	h.	h.	PROPN
fumecheng-10736	530	56	1,000l	1,000l	NUM
fumecheng-10736	530	57	nm=	nm=	PROPN
fumecheng-10736	530	58	(	(	PUNCT
fumecheng-10736	530	59	)	)	PUNCT
fumecheng-10736	530	60	0,y	0,y	NOUN
fumecheng-10736	530	61	v	v	NOUN
fumecheng-10736	530	62	x	x	SYM
fumecheng-10736	530	63	x	x	SYM
fumecheng-10736	530	64	esk	esk	NOUN
fumecheng-10736	530	65	4	4	NUM
fumecheng-10736	530	66	3	3	NUM
fumecheng-10736	530	67	2	2	NUM
fumecheng-10736	530	68	2	2	NUM
fumecheng-10736	530	69	;	;	PUNCT
fumecheng-10736	530	70	;	;	PUNCT
fumecheng-10736	530	71	;	;	PUNCT
fumecheng-10736	530	72	2	2	NUM
fumecheng-10736	530	73	12	12	NUM
fumecheng-10736	530	74	3	3	NUM
fumecheng-10736	530	75	h	h	NOUN
fumecheng-10736	530	76	h	h	NOUN
fumecheng-10736	530	77	a	a	DET
fumecheng-10736	530	78	h	h	NOUN
fumecheng-10736	531	1	i	i	PRON
fumecheng-10736	532	1	i	i	PRON
fumecheng-10736	532	2	s	s	VERB
fumecheng-10736	532	3	h	h	NOUN
fumecheng-10736	532	4	=	=	ADV
fumecheng-10736	532	5	=	=	PUNCT
fumecheng-10736	532	6	=	=	SYM
fumecheng-10736	532	7	=	=	PUNCT
fumecheng-10736	532	8	z	z	NOUN
fumecheng-10736	532	9	y	y	PROPN
fumecheng-10736	532	10	beam	beam	PROPN
fumecheng-10736	532	11	section	section	PROPN
fumecheng-10736	532	12	h	h	PROPN
fumecheng-10736	532	13	h	h	PROPN
fumecheng-10736	532	14	fig	fig	NOUN
fumecheng-10736	532	15	.	.	PUNCT
fumecheng-10736	533	1	9	9	NUM
fumecheng-10736	533	2	simulation	simulation	NOUN
fumecheng-10736	533	3	iii	iii	PROPN
fumecheng-10736	533	4	:	:	PUNCT
fumecheng-10736	533	5	free	free	ADJ
fumecheng-10736	533	6	vibration	vibration	NOUN
fumecheng-10736	533	7	analysis	analysis	NOUN
fumecheng-10736	533	8	fig	fig	NOUN
fumecheng-10736	533	9	.	.	PUNCT
fumecheng-10736	534	1	10	10	NUM
fumecheng-10736	534	2	shows	show	VERB
fumecheng-10736	534	3	variations	variation	NOUN
fumecheng-10736	534	4	of	of	ADP
fumecheng-10736	534	5	the	the	DET
fumecheng-10736	534	6	normalized	normalize	VERB
fumecheng-10736	534	7	natural	natural	ADJ
fumecheng-10736	534	8	frequency	frequency	NOUN
fumecheng-10736	534	9	1	1	NUM
fumecheng-10736	534	10	1	1	NUM
fumecheng-10736	534	11	1	1	NUM
fumecheng-10736	534	12	/	/	SYM
fumecheng-10736	534	13	proposed	propose	VERB
fumecheng-10736	534	14	classical	classical	VERB
fumecheng-10736	534	15			X
fumecheng-10736	534	16	=	=	PROPN
fumecheng-10736	534	17	for	for	ADP
fumecheng-10736	534	18	the	the	DET
fumecheng-10736	534	19	first	first	ADJ
fumecheng-10736	534	20	vibration	vibration	NOUN
fumecheng-10736	534	21	mode	mode	NOUN
fumecheng-10736	534	22	(	(	PUNCT
fumecheng-10736	534	23	n	n	NOUN
fumecheng-10736	534	24	=	=	SYM
fumecheng-10736	534	25	1	1	NUM
fumecheng-10736	534	26	)	)	PUNCT
fumecheng-10736	534	27	with	with	ADP
fumecheng-10736	534	28	normalized	normalize	VERB
fumecheng-10736	534	29	velocity	velocity	NOUN
fumecheng-10736	534	30	-	-	PUNCT
fumecheng-10736	534	31	gradient	gradient	NOUN
fumecheng-10736	534	32	material	material	NOUN
fumecheng-10736	534	33	parameter	parameter	NOUN
fumecheng-10736	534	34	lv	lv	PROPN
fumecheng-10736	534	35	/	/	SYM
fumecheng-10736	534	36	lm	lm	PROPN
fumecheng-10736	534	37	and	and	CCONJ
fumecheng-10736	534	38	slenderness	slenderness	NOUN
fumecheng-10736	534	39	ratio	ratio	NOUN
fumecheng-10736	534	40	l	l	PROPN
fumecheng-10736	534	41	/	/	SYM
fumecheng-10736	534	42	h	h	NOUN
fumecheng-10736	534	43	for	for	ADP
fumecheng-10736	534	44	various	various	ADJ
fumecheng-10736	534	45	values	value	NOUN
fumecheng-10736	534	46	of	of	ADP
fumecheng-10736	534	47	the	the	DET
fumecheng-10736	534	48	non	non	ADJ
fumecheng-10736	534	49	-	-	ADJ
fumecheng-10736	534	50	dimensional	dimensional	ADJ
fumecheng-10736	534	51	substratemedium	substratemedium	NOUN
fumecheng-10736	534	52	stiffness	stiffness	NOUN
fumecheng-10736	534	53	esk	esk	NOUN
fumecheng-10736	534	54	.	.	PUNCT
fumecheng-10736	535	1	the	the	DET
fumecheng-10736	535	2	“	"	PUNCT
fumecheng-10736	535	3	classical	classical	ADJ
fumecheng-10736	535	4	”	"	PUNCT
fumecheng-10736	535	5	natural	natural	ADJ
fumecheng-10736	535	6	frequency	frequency	NOUN
fumecheng-10736	535	7	1	1	NUM
fumecheng-10736	535	8	classical	classical	PUNCT
fumecheng-10736	535	9	for	for	ADP
fumecheng-10736	535	10	the	the	DET
fumecheng-10736	535	11	first	first	ADJ
fumecheng-10736	535	12	vibration	vibration	NOUN
fumecheng-10736	535	13	mode	mode	NOUN
fumecheng-10736	535	14	is	be	AUX
fumecheng-10736	535	15	obtained	obtain	VERB
fumecheng-10736	535	16	with	with	ADP
fumecheng-10736	535	17	the	the	DET
fumecheng-10736	535	18	beam	beam	NOUN
fumecheng-10736	535	19	-	-	PUNCT
fumecheng-10736	535	20	substrate	substrate	NOUN
fumecheng-10736	535	21	medium	medium	NOUN
fumecheng-10736	535	22	model	model	NOUN
fumecheng-10736	535	23	in	in	ADP
fumecheng-10736	535	24	which	which	PRON
fumecheng-10736	535	25	material	material	ADJ
fumecheng-10736	535	26	small	small	ADJ
fumecheng-10736	535	27	-	-	PUNCT
fumecheng-10736	535	28	scale	scale	NOUN
fumecheng-10736	535	29	and	and	CCONJ
fumecheng-10736	535	30	surface	surface	NOUN
fumecheng-10736	535	31	-	-	PUNCT
fumecheng-10736	535	32	energy	energy	NOUN
fumecheng-10736	535	33	effects	effect	NOUN
fumecheng-10736	535	34	are	be	AUX
fumecheng-10736	535	35	both	both	PRON
fumecheng-10736	535	36	neglected	neglect	VERB
fumecheng-10736	535	37	.	.	PUNCT
fumecheng-10736	536	1	with	with	ADP
fumecheng-10736	536	2	decreasing	decrease	VERB
fumecheng-10736	536	3	beam	beam	NOUN
fumecheng-10736	536	4	depth	depth	NOUN
fumecheng-10736	536	5	h	h	NOUN
fumecheng-10736	536	6	(	(	PUNCT
fumecheng-10736	536	7	increasing	increase	VERB
fumecheng-10736	536	8	slenderness	slenderness	NOUN
fumecheng-10736	536	9	ratio	ratio	NOUN
fumecheng-10736	536	10	l	l	PROPN
fumecheng-10736	536	11	/	/	SYM
fumecheng-10736	536	12	h	h	NOUN
fumecheng-10736	536	13	)	)	PUNCT
fumecheng-10736	536	14	,	,	PUNCT
fumecheng-10736	536	15	the	the	DET
fumecheng-10736	536	16	normalized	normalize	VERB
fumecheng-10736	536	17	natural	natural	ADJ
fumecheng-10736	536	18	frequency	frequency	NOUN
fumecheng-10736	536	19	1	1	NUM
fumecheng-10736	536	20			PROPN
fumecheng-10736	536	21	becomes	become	VERB
fumecheng-10736	536	22	larger	large	ADJ
fumecheng-10736	536	23	,	,	PUNCT
fumecheng-10736	536	24	particularly	particularly	ADV
fumecheng-10736	536	25	for	for	ADP
fumecheng-10736	536	26	lower	low	ADJ
fumecheng-10736	536	27	values	value	NOUN
fumecheng-10736	536	28	of	of	ADP
fumecheng-10736	536	29	non	non	ADJ
fumecheng-10736	536	30	-	-	ADJ
fumecheng-10736	536	31	dimensional	dimensional	ADJ
fumecheng-10736	536	32	substrate	substrate	NOUN
fumecheng-10736	536	33	-	-	PUNCT
fumecheng-10736	536	34	medium	medium	NOUN
fumecheng-10736	536	35	stiffness	stiffness	NOUN
fumecheng-10736	536	36	esk	esk	NOUN
fumecheng-10736	536	37	(	(	PUNCT
fumecheng-10736	536	38	softer	soft	ADJ
fumecheng-10736	536	39	substrate	substrate	NOUN
fumecheng-10736	536	40	media	medium	NOUN
fumecheng-10736	536	41	)	)	PUNCT
fumecheng-10736	536	42	as	as	SCONJ
fumecheng-10736	536	43	shown	show	VERB
fumecheng-10736	536	44	in	in	ADP
fumecheng-10736	536	45	fig.10	fig.10	PRON
fumecheng-10736	536	46	.	.	PUNCT
fumecheng-10736	537	1	it	it	PRON
fumecheng-10736	537	2	is	be	AUX
fumecheng-10736	537	3	worth	worth	ADJ
fumecheng-10736	537	4	mentioning	mention	VERB
fumecheng-10736	537	5	that	that	SCONJ
fumecheng-10736	537	6	decreasing	decrease	VERB
fumecheng-10736	537	7	beam	beam	NOUN
fumecheng-10736	537	8	depth	depth	NOUN
fumecheng-10736	537	9	h	h	NOUN
fumecheng-10736	537	10	leads	lead	VERB
fumecheng-10736	537	11	to	to	ADP
fumecheng-10736	537	12	a	a	DET
fumecheng-10736	537	13	larger	large	ADJ
fumecheng-10736	537	14	beam	beam	NOUN
fumecheng-10736	537	15	surface	surface	NOUN
fumecheng-10736	537	16	-	-	PUNCT
fumecheng-10736	537	17	area	area	NOUN
fumecheng-10736	537	18	/	/	SYM
fumecheng-10736	537	19	section	section	NOUN
fumecheng-10736	537	20	-	-	PUNCT
fumecheng-10736	537	21	area	area	NOUN
fumecheng-10736	537	22	ratio	ratio	NOUN
fumecheng-10736	537	23	(	(	PUNCT
fumecheng-10736	537	24	as	as	ADP
fumecheng-10736	537	25	/	/	SYM
fumecheng-10736	537	26	ab	ab	NOUN
fumecheng-10736	537	27	)	)	PUNCT
fumecheng-10736	537	28	and	and	CCONJ
fumecheng-10736	537	29	renders	render	VERB
fumecheng-10736	537	30	the	the	DET
fumecheng-10736	537	31	beam	beam	NOUN
fumecheng-10736	537	32	thickness	thickness	NOUN
fumecheng-10736	537	33	smaller	small	ADJ
fumecheng-10736	537	34	compared	compare	VERB
fumecheng-10736	537	35	to	to	ADP
fumecheng-10736	537	36	the	the	DET
fumecheng-10736	537	37	material	material	NOUN
fumecheng-10736	537	38	length	length	NOUN
fumecheng-10736	537	39	-	-	PUNCT
fumecheng-10736	537	40	scale	scale	NOUN
fumecheng-10736	537	41	parameters	parameter	NOUN
fumecheng-10736	537	42	(	(	PUNCT
fumecheng-10736	537	43	ls	ls	PROPN
fumecheng-10736	537	44	=	=	SYM
fumecheng-10736	537	45	100	100	NUM
fumecheng-10736	537	46	nm	nm	ADJ
fumecheng-10736	537	47	and	and	CCONJ
fumecheng-10736	537	48	lm	lm	NOUN
fumecheng-10736	537	49	=	=	NOUN
fumecheng-10736	537	50	100	100	NUM
fumecheng-10736	537	51	nm	nm	NOUN
fumecheng-10736	537	52	)	)	PUNCT
fumecheng-10736	537	53	.	.	PUNCT
fumecheng-10736	538	1	the	the	DET
fumecheng-10736	538	2	first	first	ADJ
fumecheng-10736	538	3	one	one	NUM
fumecheng-10736	538	4	magnifies	magnify	VERB
fumecheng-10736	538	5	the	the	DET
fumecheng-10736	538	6	system	system	NOUN
fumecheng-10736	538	7	stiffening	stiffen	VERB
fumecheng-10736	538	8	phenomenon	phenomenon	NOUN
fumecheng-10736	538	9	induced	induce	VERB
fumecheng-10736	538	10	by	by	ADP
fumecheng-10736	538	11	the	the	DET
fumecheng-10736	538	12	surface	surface	NOUN
fumecheng-10736	538	13	-	-	PUNCT
fumecheng-10736	538	14	energy	energy	NOUN
fumecheng-10736	538	15	effect	effect	NOUN
fumecheng-10736	538	16	while	while	SCONJ
fumecheng-10736	538	17	the	the	DET
fumecheng-10736	538	18	second	second	ADJ
fumecheng-10736	538	19	one	one	NOUN
fumecheng-10736	538	20	amplifies	amplify	VERB
fumecheng-10736	538	21	the	the	DET
fumecheng-10736	538	22	system	system	NOUN
fumecheng-10736	538	23	stiffening	stiffen	VERB
fumecheng-10736	538	24	phenomenon	phenomenon	NOUN
fumecheng-10736	538	25	associated	associate	VERB
fumecheng-10736	538	26	with	with	ADP
fumecheng-10736	538	27	the	the	DET
fumecheng-10736	538	28	material	material	ADJ
fumecheng-10736	538	29	small	small	ADJ
fumecheng-10736	538	30	-	-	PUNCT
fumecheng-10736	538	31	scale	scale	NOUN
fumecheng-10736	538	32	effect	effect	NOUN
fumecheng-10736	538	33	,	,	PUNCT
fumecheng-10736	538	34	thus	thus	ADV
fumecheng-10736	538	35	resulting	result	VERB
fumecheng-10736	538	36	in	in	ADP
fumecheng-10736	538	37	a	a	DET
fumecheng-10736	538	38	higher	high	ADJ
fumecheng-10736	538	39	natural	natural	ADJ
fumecheng-10736	538	40	frequency	frequency	NOUN
fumecheng-10736	538	41	1	1	NUM
fumecheng-10736	538	42	proposed	proposed	NOUN
fumecheng-10736	538	43	.	.	PUNCT
fumecheng-10736	539	1	in	in	ADP
fumecheng-10736	539	2	opposition	opposition	NOUN
fumecheng-10736	539	3	,	,	PUNCT
fumecheng-10736	539	4	inclusion	inclusion	NOUN
fumecheng-10736	539	5	of	of	ADP
fumecheng-10736	539	6	the	the	DET
fumecheng-10736	539	7	velocity	velocity	NOUN
fumecheng-10736	539	8	-	-	PUNCT
fumecheng-10736	539	9	gradient	gradient	NOUN
fumecheng-10736	539	10	effect	effect	NOUN
fumecheng-10736	539	11	lowers	lower	VERB
fumecheng-10736	539	12	the	the	DET
fumecheng-10736	539	13	system	system	NOUN
fumecheng-10736	539	14	stiffness	stiffness	NOUN
fumecheng-10736	539	15	.	.	PUNCT
fumecheng-10736	540	1	the	the	DET
fumecheng-10736	540	2	normalized	normalize	VERB
fumecheng-10736	540	3	natural	natural	ADJ
fumecheng-10736	540	4	frequency	frequency	NOUN
fumecheng-10736	540	5	1	1	NUM
fumecheng-10736	540	6			PROPN
fumecheng-10736	540	7	reduces	reduce	VERB
fumecheng-10736	540	8	with	with	ADP
fumecheng-10736	540	9	increasing	increase	VERB
fumecheng-10736	540	10	normalized	normalize	VERB
fumecheng-10736	540	11	velocity	velocity	NOUN
fumecheng-10736	540	12	-	-	PUNCT
fumecheng-10736	540	13	gradient	gradient	NOUN
fumecheng-10736	540	14	material	material	NOUN
fumecheng-10736	540	15	parameter	parameter	PROPN
fumecheng-10736	540	16	lv	lv	PROPN
fumecheng-10736	540	17	/	/	SYM
fumecheng-10736	540	18	lm	lm	PROPN
fumecheng-10736	540	19	,	,	PUNCT
fumecheng-10736	540	20	especially	especially	ADV
fumecheng-10736	540	21	for	for	ADP
fumecheng-10736	540	22	lower	low	ADJ
fumecheng-10736	540	23	values	value	NOUN
fumecheng-10736	540	24	of	of	ADP
fumecheng-10736	540	25	non	non	ADJ
fumecheng-10736	540	26	-	-	ADJ
fumecheng-10736	540	27	dimensional	dimensional	ADJ
fumecheng-10736	540	28	substratemedium	substratemedium	NOUN
fumecheng-10736	540	29	stiffness	stiffness	NOUN
fumecheng-10736	540	30	esk	esk	NOUN
fumecheng-10736	540	31	(	(	PUNCT
fumecheng-10736	540	32	softer	soft	ADJ
fumecheng-10736	540	33	substrate	substrate	NOUN
fumecheng-10736	540	34	media	medium	NOUN
fumecheng-10736	540	35	)	)	PUNCT
fumecheng-10736	540	36	.	.	PUNCT
fumecheng-10736	541	1	this	this	DET
fumecheng-10736	541	2	observation	observation	NOUN
fumecheng-10736	541	3	is	be	AUX
fumecheng-10736	541	4	consistent	consistent	ADJ
fumecheng-10736	541	5	with	with	ADP
fumecheng-10736	541	6	that	that	PRON
fumecheng-10736	541	7	made	make	VERB
fumecheng-10736	541	8	by	by	ADP
fumecheng-10736	541	9	zhang	zhang	PROPN
fumecheng-10736	541	10	and	and	CCONJ
fumecheng-10736	541	11	gao	gao	PROPN
fumecheng-10736	542	1	[	[	X
fumecheng-10736	542	2	30	30	NUM
fumecheng-10736	542	3	]	]	PUNCT
fumecheng-10736	542	4	and	and	CCONJ
fumecheng-10736	542	5	yin	yin	PROPN
fumecheng-10736	542	6	et	et	PROPN
fumecheng-10736	542	7	al	al	PROPN
fumecheng-10736	542	8	.	.	PUNCT
fumecheng-10736	543	1	[	[	X
fumecheng-10736	543	2	54	54	NUM
fumecheng-10736	543	3	]	]	PUNCT
fumecheng-10736	543	4	.	.	PUNCT
fumecheng-10736	544	1	however	however	ADV
fumecheng-10736	544	2	,	,	PUNCT
fumecheng-10736	544	3	the	the	DET
fumecheng-10736	544	4	system	system	NOUN
fumecheng-10736	544	5	stiffening	stiffen	VERB
fumecheng-10736	544	6	phenomenon	phenomenon	NOUN
fumecheng-10736	544	7	associated	associate	VERB
fumecheng-10736	544	8	with	with	ADP
fumecheng-10736	544	9	the	the	DET
fumecheng-10736	544	10	material	material	ADJ
fumecheng-10736	544	11	small	small	ADJ
fumecheng-10736	544	12	-	-	PUNCT
fumecheng-10736	544	13	scale	scale	NOUN
fumecheng-10736	544	14	effect	effect	NOUN
fumecheng-10736	544	15	and	and	CCONJ
fumecheng-10736	544	16	the	the	DET
fumecheng-10736	544	17	surface	surface	NOUN
fumecheng-10736	544	18	-	-	PUNCT
fumecheng-10736	544	19	energy	energy	NOUN
fumecheng-10736	544	20	effect	effect	NOUN
fumecheng-10736	544	21	surpasses	surpass	VERB
fumecheng-10736	544	22	the	the	DET
fumecheng-10736	544	23	system	system	NOUN
fumecheng-10736	544	24	weakening	weaken	VERB
fumecheng-10736	544	25	phenomenon	phenomenon	NOUN
fumecheng-10736	544	26	associated	associate	VERB
fumecheng-10736	544	27	with	with	ADP
fumecheng-10736	544	28	the	the	DET
fumecheng-10736	544	29	velocity	velocity	NOUN
fumecheng-10736	544	30	-	-	PUNCT
fumecheng-10736	544	31	gradient	gradient	NOUN
fumecheng-10736	544	32	effect	effect	NOUN
fumecheng-10736	544	33	.	.	PUNCT
fumecheng-10736	545	1	therefore	therefore	ADV
fumecheng-10736	545	2	,	,	PUNCT
fumecheng-10736	545	3	the	the	DET
fumecheng-10736	545	4	combination	combination	NOUN
fumecheng-10736	545	5	of	of	ADP
fumecheng-10736	545	6	the	the	DET
fumecheng-10736	545	7	material	material	ADJ
fumecheng-10736	545	8	small	small	ADJ
fumecheng-10736	545	9	-	-	PUNCT
fumecheng-10736	545	10	scale	scale	NOUN
fumecheng-10736	545	11	effect	effect	NOUN
fumecheng-10736	545	12	,	,	PUNCT
fumecheng-10736	545	13	the	the	DET
fumecheng-10736	545	14	surface	surface	NOUN
fumecheng-10736	545	15	-	-	PUNCT
fumecheng-10736	545	16	energy	energy	NOUN
fumecheng-10736	545	17	effect	effect	NOUN
fumecheng-10736	545	18	,	,	PUNCT
fumecheng-10736	545	19	and	and	CCONJ
fumecheng-10736	545	20	the	the	DET
fumecheng-10736	545	21	velocity	velocity	NOUN
fumecheng-10736	545	22	-	-	PUNCT
fumecheng-10736	545	23	gradient	gradient	NOUN
fumecheng-10736	545	24	effect	effect	NOUN
fumecheng-10736	545	25	results	result	NOUN
fumecheng-10736	545	26	in	in	ADP
fumecheng-10736	545	27	a	a	DET
fumecheng-10736	545	28	higher	high	ADJ
fumecheng-10736	545	29	system	system	NOUN
fumecheng-10736	545	30	natural	natural	ADJ
fumecheng-10736	545	31	frequency	frequency	NOUN
fumecheng-10736	545	32	(	(	PUNCT
fumecheng-10736	545	33	1	1	NUM
fumecheng-10736	545	34			PROPN
fumecheng-10736	545	35	>	>	X
fumecheng-10736	545	36	1.0	1.0	NUM
fumecheng-10736	545	37	)	)	PUNCT
fumecheng-10736	545	38	for	for	ADP
fumecheng-10736	545	39	specific	specific	ADJ
fumecheng-10736	545	40	values	value	NOUN
fumecheng-10736	545	41	of	of	ADP
fumecheng-10736	545	42	system	system	NOUN
fumecheng-10736	545	43	parameters	parameter	NOUN
fumecheng-10736	545	44	investigated	investigate	VERB
fumecheng-10736	545	45	in	in	ADP
fumecheng-10736	545	46	the	the	DET
fumecheng-10736	545	47	current	current	ADJ
fumecheng-10736	545	48	study	study	NOUN
fumecheng-10736	545	49	.	.	PUNCT
fumecheng-10736	546	1	582	582	NUM
fumecheng-10736	546	2	s.	s.	PROPN
fumecheng-10736	546	3	limkatanyu	limkatanyu	PROPN
fumecheng-10736	546	4	,	,	PUNCT
fumecheng-10736	546	5	w.	w.	PROPN
fumecheng-10736	546	6	sae	sae	PROPN
fumecheng-10736	546	7	-	-	PROPN
fumecheng-10736	546	8	long	long	ADV
fumecheng-10736	546	9	,	,	PUNCT
fumecheng-10736	546	10	j.	j.	PROPN
fumecheng-10736	546	11	rungamornrat	rungamornrat	PROPN
fumecheng-10736	546	12	,	,	PUNCT
fumecheng-10736	546	13	et	et	PROPN
fumecheng-10736	546	14	al	al	PROPN
fumecheng-10736	546	15	.	.	PROPN
fumecheng-10736	546	16	5	5	NUM
fumecheng-10736	546	17	2	2	NUM
fumecheng-10736	546	18	0	0	NUM
fumecheng-10736	546	19	4	4	NUM
fumecheng-10736	546	20	0	0	NUM
fumecheng-10736	546	21	6	6	NUM
fumecheng-10736	546	22	0	0	NUM
fumecheng-10736	546	23	8	8	NUM
fumecheng-10736	546	24	0	0	NUM
fumecheng-10736	546	25	1	1	NUM
fumecheng-10736	546	26	0	0	NUM
fumecheng-10736	546	27	0	0	NUM
fumecheng-10736	546	28	0	0	NUM
fumecheng-10736	546	29	1	1	NUM
fumecheng-10736	546	30	2	2	NUM
fumecheng-10736	546	31	3	3	NUM
fumecheng-10736	546	32	4	4	NUM
fumecheng-10736	546	33	5	5	NUM
fumecheng-10736	546	34	6	6	NUM
fumecheng-10736	546	35	7	7	NUM
fumecheng-10736	546	36	8	8	NUM
fumecheng-10736	546	37	9	9	NUM
fumecheng-10736	546	38	10	10	NUM
fumecheng-10736	546	39	1	1	NUM
fumecheng-10736	546	40	5	5	NUM
fumecheng-10736	546	41	1	1	NUM
fumecheng-10736	546	42	0	0	NUM
fumecheng-10736	546	43	1	1	NUM
fumecheng-10736	546	44	5	5	NUM
fumecheng-10736	546	45	2	2	NUM
fumecheng-10736	546	46	0	0	NUM
fumecheng-10736	546	47	9	9	NUM
fumecheng-10736	546	48	-	-	SYM
fumecheng-10736	546	49	10	10	NUM
fumecheng-10736	546	50	8	8	NUM
fumecheng-10736	546	51	-	-	SYM
fumecheng-10736	546	52	9	9	NUM
fumecheng-10736	546	53	7	7	NUM
fumecheng-10736	546	54	-	-	SYM
fumecheng-10736	546	55	8	8	NUM
fumecheng-10736	546	56	6	6	NUM
fumecheng-10736	546	57	-	-	SYM
fumecheng-10736	546	58	7	7	NUM
fumecheng-10736	546	59	5	5	NUM
fumecheng-10736	546	60	-	-	SYM
fumecheng-10736	546	61	6	6	NUM
fumecheng-10736	546	62	4	4	NUM
fumecheng-10736	546	63	-	-	SYM
fumecheng-10736	546	64	5	5	NUM
fumecheng-10736	546	65	3	3	NUM
fumecheng-10736	546	66	-	-	SYM
fumecheng-10736	546	67	4	4	NUM
fumecheng-10736	546	68	2	2	NUM
fumecheng-10736	546	69	-	-	SYM
fumecheng-10736	546	70	3	3	NUM
fumecheng-10736	546	71	1	1	NUM
fumecheng-10736	546	72	-	-	SYM
fumecheng-10736	546	73	2	2	NUM
fumecheng-10736	546	74	0	0	NUM
fumecheng-10736	546	75	-	-	SYM
fumecheng-10736	546	76	1	1	NUM
fumecheng-10736	546	77	1esk	1esk	NOUN
fumecheng-10736	546	78	=	=	PUNCT
fumecheng-10736	546	79	ωξ	ωξ	ADP
fumecheng-10736	546	80	1	1	NUM
fumecheng-10736	546	81	5	5	NUM
fumecheng-10736	546	82	2	2	NUM
fumecheng-10736	546	83	0	0	NUM
fumecheng-10736	546	84	4	4	NUM
fumecheng-10736	546	85	0	0	NUM
fumecheng-10736	546	86	6	6	NUM
fumecheng-10736	546	87	0	0	NUM
fumecheng-10736	546	88	8	8	NUM
fumecheng-10736	546	89	0	0	NUM
fumecheng-10736	546	90	1	1	NUM
fumecheng-10736	546	91	0	0	NUM
fumecheng-10736	546	92	0	0	NUM
fumecheng-10736	546	93	0	0	NUM
fumecheng-10736	546	94	1	1	NUM
fumecheng-10736	546	95	2	2	NUM
fumecheng-10736	546	96	3	3	NUM
fumecheng-10736	546	97	4	4	NUM
fumecheng-10736	546	98	5	5	NUM
fumecheng-10736	546	99	6	6	NUM
fumecheng-10736	546	100	7	7	NUM
fumecheng-10736	546	101	8	8	NUM
fumecheng-10736	546	102	9	9	NUM
fumecheng-10736	546	103	10	10	NUM
fumecheng-10736	546	104	1	1	NUM
fumecheng-10736	546	105	5	5	NUM
fumecheng-10736	546	106	1	1	NUM
fumecheng-10736	546	107	0	0	NUM
fumecheng-10736	546	108	1	1	NUM
fumecheng-10736	546	109	5	5	NUM
fumecheng-10736	546	110	2	2	NUM
fumecheng-10736	546	111	0	0	NUM
fumecheng-10736	546	112	9	9	NUM
fumecheng-10736	546	113	-	-	SYM
fumecheng-10736	546	114	10	10	NUM
fumecheng-10736	546	115	8	8	NUM
fumecheng-10736	546	116	-	-	SYM
fumecheng-10736	546	117	9	9	NUM
fumecheng-10736	546	118	7	7	NUM
fumecheng-10736	546	119	-	-	SYM
fumecheng-10736	546	120	8	8	NUM
fumecheng-10736	546	121	6	6	NUM
fumecheng-10736	546	122	-	-	SYM
fumecheng-10736	546	123	7	7	NUM
fumecheng-10736	546	124	5	5	NUM
fumecheng-10736	546	125	-	-	SYM
fumecheng-10736	546	126	6	6	NUM
fumecheng-10736	546	127	4	4	NUM
fumecheng-10736	546	128	-	-	SYM
fumecheng-10736	546	129	5	5	NUM
fumecheng-10736	546	130	3	3	NUM
fumecheng-10736	546	131	-	-	SYM
fumecheng-10736	546	132	4	4	NUM
fumecheng-10736	546	133	2	2	NUM
fumecheng-10736	546	134	-	-	SYM
fumecheng-10736	546	135	3	3	NUM
fumecheng-10736	546	136	1	1	NUM
fumecheng-10736	546	137	-	-	SYM
fumecheng-10736	546	138	2	2	NUM
fumecheng-10736	546	139	0	0	NUM
fumecheng-10736	546	140	-	-	SYM
fumecheng-10736	546	141	1	1	NUM
fumecheng-10736	546	142	4esk	4esk	NOUN
fumecheng-10736	546	143	=	=	PUNCT
fumecheng-10736	546	144	ωξ	ωξ	ADP
fumecheng-10736	546	145	1	1	NUM
fumecheng-10736	546	146	(	(	PUNCT
fumecheng-10736	546	147	a	a	NOUN
fumecheng-10736	546	148	)	)	PUNCT
fumecheng-10736	546	149	(	(	PUNCT
fumecheng-10736	546	150	b	b	X
fumecheng-10736	546	151	)	)	PUNCT
fumecheng-10736	546	152	5	5	NUM
fumecheng-10736	546	153	2	2	NUM
fumecheng-10736	546	154	0	0	NUM
fumecheng-10736	546	155	4	4	NUM
fumecheng-10736	546	156	0	0	NUM
fumecheng-10736	546	157	6	6	NUM
fumecheng-10736	546	158	0	0	NUM
fumecheng-10736	546	159	8	8	NUM
fumecheng-10736	546	160	0	0	NUM
fumecheng-10736	546	161	1	1	NUM
fumecheng-10736	546	162	0	0	NUM
fumecheng-10736	546	163	0	0	NUM
fumecheng-10736	546	164	0	0	NUM
fumecheng-10736	546	165	1	1	NUM
fumecheng-10736	546	166	2	2	NUM
fumecheng-10736	546	167	3	3	NUM
fumecheng-10736	546	168	4	4	NUM
fumecheng-10736	546	169	5	5	NUM
fumecheng-10736	546	170	6	6	NUM
fumecheng-10736	546	171	7	7	NUM
fumecheng-10736	546	172	8	8	NUM
fumecheng-10736	546	173	9	9	NUM
fumecheng-10736	546	174	10	10	NUM
fumecheng-10736	546	175	1	1	NUM
fumecheng-10736	546	176	5	5	NUM
fumecheng-10736	546	177	1	1	NUM
fumecheng-10736	546	178	0	0	NUM
fumecheng-10736	546	179	1	1	NUM
fumecheng-10736	546	180	5	5	NUM
fumecheng-10736	546	181	2	2	NUM
fumecheng-10736	546	182	0	0	NUM
fumecheng-10736	546	183	9	9	NUM
fumecheng-10736	546	184	-	-	SYM
fumecheng-10736	546	185	10	10	NUM
fumecheng-10736	546	186	8	8	NUM
fumecheng-10736	546	187	-	-	SYM
fumecheng-10736	546	188	9	9	NUM
fumecheng-10736	546	189	7	7	NUM
fumecheng-10736	546	190	-	-	SYM
fumecheng-10736	546	191	8	8	NUM
fumecheng-10736	546	192	6	6	NUM
fumecheng-10736	546	193	-	-	SYM
fumecheng-10736	546	194	7	7	NUM
fumecheng-10736	546	195	5	5	NUM
fumecheng-10736	546	196	-	-	SYM
fumecheng-10736	546	197	6	6	NUM
fumecheng-10736	546	198	4	4	NUM
fumecheng-10736	546	199	-	-	SYM
fumecheng-10736	546	200	5	5	NUM
fumecheng-10736	546	201	3	3	NUM
fumecheng-10736	546	202	-	-	SYM
fumecheng-10736	546	203	4	4	NUM
fumecheng-10736	546	204	2	2	NUM
fumecheng-10736	546	205	-	-	SYM
fumecheng-10736	546	206	3	3	NUM
fumecheng-10736	546	207	1	1	NUM
fumecheng-10736	546	208	-	-	SYM
fumecheng-10736	546	209	2	2	NUM
fumecheng-10736	546	210	0	0	NUM
fumecheng-10736	546	211	-	-	SYM
fumecheng-10736	546	212	1	1	NUM
fumecheng-10736	546	213	7esk	7esk	NUM
fumecheng-10736	546	214	=	=	PUNCT
fumecheng-10736	546	215	ωξ	ωξ	ADP
fumecheng-10736	546	216	1	1	NUM
fumecheng-10736	546	217	5	5	NUM
fumecheng-10736	546	218	2	2	NUM
fumecheng-10736	546	219	0	0	NUM
fumecheng-10736	546	220	4	4	NUM
fumecheng-10736	546	221	0	0	NUM
fumecheng-10736	546	222	6	6	NUM
fumecheng-10736	546	223	0	0	NUM
fumecheng-10736	546	224	8	8	NUM
fumecheng-10736	546	225	0	0	NUM
fumecheng-10736	546	226	1	1	NUM
fumecheng-10736	546	227	0	0	NUM
fumecheng-10736	546	228	0	0	NUM
fumecheng-10736	546	229	0	0	NUM
fumecheng-10736	546	230	1	1	NUM
fumecheng-10736	546	231	2	2	NUM
fumecheng-10736	546	232	3	3	NUM
fumecheng-10736	546	233	4	4	NUM
fumecheng-10736	546	234	5	5	NUM
fumecheng-10736	546	235	6	6	NUM
fumecheng-10736	546	236	7	7	NUM
fumecheng-10736	546	237	8	8	NUM
fumecheng-10736	546	238	9	9	NUM
fumecheng-10736	546	239	10	10	NUM
fumecheng-10736	546	240	1	1	NUM
fumecheng-10736	546	241	5	5	NUM
fumecheng-10736	546	242	1	1	NUM
fumecheng-10736	546	243	0	0	NUM
fumecheng-10736	546	244	1	1	NUM
fumecheng-10736	546	245	5	5	NUM
fumecheng-10736	546	246	2	2	NUM
fumecheng-10736	546	247	0	0	NUM
fumecheng-10736	546	248	9	9	NUM
fumecheng-10736	546	249	-	-	SYM
fumecheng-10736	546	250	10	10	NUM
fumecheng-10736	546	251	8	8	NUM
fumecheng-10736	546	252	-	-	SYM
fumecheng-10736	546	253	9	9	NUM
fumecheng-10736	546	254	7	7	NUM
fumecheng-10736	546	255	-	-	SYM
fumecheng-10736	546	256	8	8	NUM
fumecheng-10736	546	257	6	6	NUM
fumecheng-10736	546	258	-	-	SYM
fumecheng-10736	546	259	7	7	NUM
fumecheng-10736	546	260	5	5	NUM
fumecheng-10736	546	261	-	-	SYM
fumecheng-10736	546	262	6	6	NUM
fumecheng-10736	546	263	4	4	NUM
fumecheng-10736	546	264	-	-	SYM
fumecheng-10736	546	265	5	5	NUM
fumecheng-10736	546	266	3	3	NUM
fumecheng-10736	546	267	-	-	SYM
fumecheng-10736	546	268	4	4	NUM
fumecheng-10736	546	269	2	2	NUM
fumecheng-10736	546	270	-	-	SYM
fumecheng-10736	546	271	3	3	NUM
fumecheng-10736	546	272	1	1	NUM
fumecheng-10736	546	273	-	-	SYM
fumecheng-10736	546	274	2	2	NUM
fumecheng-10736	546	275	0	0	NUM
fumecheng-10736	546	276	-	-	SYM
fumecheng-10736	546	277	1	1	NUM
fumecheng-10736	546	278	10esk	10esk	NOUN
fumecheng-10736	546	279	=	=	PUNCT
fumecheng-10736	546	280	ωξ	ωξ	ADP
fumecheng-10736	546	281	1	1	NUM
fumecheng-10736	546	282	(	(	PUNCT
fumecheng-10736	546	283	c	c	NOUN
fumecheng-10736	546	284	)	)	PUNCT
fumecheng-10736	546	285	(	(	PUNCT
fumecheng-10736	546	286	d	d	X
fumecheng-10736	546	287	)	)	PUNCT
fumecheng-10736	546	288	fig	fig	NOUN
fumecheng-10736	546	289	.	.	PUNCT
fumecheng-10736	547	1	10	10	NUM
fumecheng-10736	547	2	normalized	normalize	VERB
fumecheng-10736	547	3	natural	natural	ADJ
fumecheng-10736	547	4	frequency	frequency	NOUN
fumecheng-10736	547	5	1	1	NUM
fumecheng-10736	547	6			PROPN
fumecheng-10736	547	7	with	with	ADP
fumecheng-10736	547	8	variation	variation	NOUN
fumecheng-10736	547	9	of	of	ADP
fumecheng-10736	547	10	normalized	normalize	VERB
fumecheng-10736	547	11	parameter	parameter	PROPN
fumecheng-10736	547	12	lv	lv	PROPN
fumecheng-10736	547	13	/	/	SYM
fumecheng-10736	547	14	lm	lm	PROPN
fumecheng-10736	547	15	and	and	CCONJ
fumecheng-10736	547	16	slenderness	slenderness	NOUN
fumecheng-10736	547	17	ratio	ratio	NOUN
fumecheng-10736	547	18	l	l	PROPN
fumecheng-10736	547	19	/	/	SYM
fumecheng-10736	547	20	h	h	NOUN
fumecheng-10736	547	21	:	:	PUNCT
fumecheng-10736	547	22	(	(	PUNCT
fumecheng-10736	547	23	a	a	X
fumecheng-10736	547	24	)	)	PUNCT
fumecheng-10736	547	25	esk	esk	NOUN
fumecheng-10736	547	26	=	=	SYM
fumecheng-10736	547	27	1	1	NUM
fumecheng-10736	547	28	,	,	PUNCT
fumecheng-10736	547	29	(	(	PUNCT
fumecheng-10736	547	30	b	b	X
fumecheng-10736	547	31	)	)	PUNCT
fumecheng-10736	547	32	esk	esk	NOUN
fumecheng-10736	547	33	=	=	NOUN
fumecheng-10736	547	34	4	4	NUM
fumecheng-10736	547	35	,	,	PUNCT
fumecheng-10736	547	36	(	(	PUNCT
fumecheng-10736	547	37	c	c	X
fumecheng-10736	547	38	)	)	PUNCT
fumecheng-10736	547	39	esk	esk	NOUN
fumecheng-10736	547	40	=	=	SYM
fumecheng-10736	547	41	7	7	NUM
fumecheng-10736	547	42	,	,	PUNCT
fumecheng-10736	547	43	and	and	CCONJ
fumecheng-10736	547	44	(	(	PUNCT
fumecheng-10736	547	45	d	d	X
fumecheng-10736	547	46	)	)	PUNCT
fumecheng-10736	547	47	esk	esk	NOUN
fumecheng-10736	547	48	=	=	NOUN
fumecheng-10736	547	49	10	10	NUM
fumecheng-10736	547	50	8	8	NUM
fumecheng-10736	547	51	.	.	PUNCT
fumecheng-10736	548	1	summary	summary	NOUN
fumecheng-10736	548	2	and	and	CCONJ
fumecheng-10736	548	3	conclusions	conclusion	NOUN
fumecheng-10736	548	4	a	a	DET
fumecheng-10736	548	5	rational	rational	ADJ
fumecheng-10736	548	6	beam	beam	NOUN
fumecheng-10736	548	7	-	-	PUNCT
fumecheng-10736	548	8	substrate	substrate	NOUN
fumecheng-10736	548	9	medium	medium	NOUN
fumecheng-10736	548	10	model	model	NOUN
fumecheng-10736	548	11	for	for	ADP
fumecheng-10736	548	12	bending	bend	VERB
fumecheng-10736	548	13	,	,	PUNCT
fumecheng-10736	548	14	buckling	buckling	NOUN
fumecheng-10736	548	15	,	,	PUNCT
fumecheng-10736	548	16	and	and	CCONJ
fumecheng-10736	548	17	free	free	ADJ
fumecheng-10736	548	18	vibration	vibration	NOUN
fumecheng-10736	548	19	analyses	analysis	NOUN
fumecheng-10736	548	20	of	of	ADP
fumecheng-10736	548	21	nanobeams	nanobeam	NOUN
fumecheng-10736	548	22	resting	rest	VERB
fumecheng-10736	548	23	on	on	ADP
fumecheng-10736	548	24	elastic	elastic	ADJ
fumecheng-10736	548	25	substrate	substrate	NOUN
fumecheng-10736	548	26	media	medium	NOUN
fumecheng-10736	548	27	is	be	AUX
fumecheng-10736	548	28	proposed	propose	VERB
fumecheng-10736	548	29	in	in	ADP
fumecheng-10736	548	30	the	the	DET
fumecheng-10736	548	31	present	present	ADJ
fumecheng-10736	548	32	work	work	NOUN
fumecheng-10736	548	33	.	.	PUNCT
fumecheng-10736	549	1	the	the	DET
fumecheng-10736	549	2	reformulated	reformulate	VERB
fumecheng-10736	549	3	strain	strain	NOUN
fumecheng-10736	549	4	-	-	PUNCT
fumecheng-10736	549	5	gradient	gradient	NOUN
fumecheng-10736	549	6	theory	theory	NOUN
fumecheng-10736	549	7	is	be	AUX
fumecheng-10736	549	8	employed	employ	VERB
fumecheng-10736	549	9	to	to	PART
fumecheng-10736	549	10	consider	consider	VERB
fumecheng-10736	549	11	the	the	DET
fumecheng-10736	549	12	beam	beam	ADJ
fumecheng-10736	549	13	-	-	PUNCT
fumecheng-10736	549	14	bulk	bulk	ADJ
fumecheng-10736	549	15	material	material	NOUN
fumecheng-10736	549	16	smallscale	smallscale	NOUN
fumecheng-10736	549	17	effect	effect	NOUN
fumecheng-10736	549	18	.	.	PUNCT
fumecheng-10736	550	1	the	the	DET
fumecheng-10736	550	2	strain	strain	NOUN
fumecheng-10736	550	3	-	-	PUNCT
fumecheng-10736	550	4	gradient	gradient	NOUN
fumecheng-10736	550	5	and	and	CCONJ
fumecheng-10736	550	6	couple	couple	NOUN
fumecheng-10736	550	7	-	-	PUNCT
fumecheng-10736	550	8	stress	stress	NOUN
fumecheng-10736	550	9	effects	effect	NOUN
fumecheng-10736	550	10	are	be	AUX
fumecheng-10736	550	11	included	include	VERB
fumecheng-10736	550	12	in	in	ADP
fumecheng-10736	550	13	the	the	DET
fumecheng-10736	550	14	strain	strain	NOUN
fumecheng-10736	550	15	energy	energy	NOUN
fumecheng-10736	550	16	density	density	NOUN
fumecheng-10736	550	17	expression	expression	NOUN
fumecheng-10736	550	18	while	while	SCONJ
fumecheng-10736	550	19	the	the	DET
fumecheng-10736	550	20	velocity	velocity	NOUN
fumecheng-10736	550	21	-	-	PUNCT
fumecheng-10736	550	22	gradient	gradient	NOUN
fumecheng-10736	550	23	effect	effect	NOUN
fumecheng-10736	550	24	is	be	AUX
fumecheng-10736	550	25	included	include	VERB
fumecheng-10736	550	26	in	in	ADP
fumecheng-10736	550	27	the	the	DET
fumecheng-10736	550	28	kinetic	kinetic	ADJ
fumecheng-10736	550	29	energy	energy	NOUN
fumecheng-10736	550	30	expression	expression	NOUN
fumecheng-10736	550	31	.	.	PUNCT
fumecheng-10736	551	1	the	the	DET
fumecheng-10736	551	2	gurtin	gurtin	PROPN
fumecheng-10736	551	3	-	-	PUNCT
fumecheng-10736	551	4	murdoch	murdoch	PROPN
fumecheng-10736	551	5	surface	surface	PROPN
fumecheng-10736	551	6	elasticity	elasticity	NOUN
fumecheng-10736	551	7	theory	theory	NOUN
fumecheng-10736	551	8	is	be	AUX
fumecheng-10736	551	9	used	use	VERB
fumecheng-10736	551	10	to	to	PART
fumecheng-10736	551	11	address	address	VERB
fumecheng-10736	551	12	the	the	DET
fumecheng-10736	551	13	surfaceenergy	surfaceenergy	NOUN
fumecheng-10736	551	14	effect	effect	NOUN
fumecheng-10736	551	15	.	.	PUNCT
fumecheng-10736	552	1	the	the	DET
fumecheng-10736	552	2	interaction	interaction	NOUN
fumecheng-10736	552	3	between	between	ADP
fumecheng-10736	552	4	the	the	DET
fumecheng-10736	552	5	nanobeam	nanobeam	NOUN
fumecheng-10736	552	6	and	and	CCONJ
fumecheng-10736	552	7	its	its	PRON
fumecheng-10736	552	8	underlying	underlie	VERB
fumecheng-10736	552	9	substrate	substrate	NOUN
fumecheng-10736	552	10	medium	medium	NOUN
fumecheng-10736	552	11	is	be	AUX
fumecheng-10736	552	12	considered	consider	VERB
fumecheng-10736	552	13	through	through	ADP
fumecheng-10736	552	14	the	the	DET
fumecheng-10736	552	15	winkler	winkler	NOUN
fumecheng-10736	552	16	-	-	PUNCT
fumecheng-10736	552	17	foundation	foundation	NOUN
fumecheng-10736	552	18	model	model	NOUN
fumecheng-10736	552	19	.	.	PUNCT
fumecheng-10736	553	1	to	to	PART
fumecheng-10736	553	2	obtain	obtain	VERB
fumecheng-10736	553	3	the	the	DET
fumecheng-10736	553	4	system	system	NOUN
fumecheng-10736	553	5	governing	govern	VERB
fumecheng-10736	553	6	equation	equation	NOUN
fumecheng-10736	553	7	and	and	CCONJ
fumecheng-10736	553	8	corresponding	corresponding	ADJ
fumecheng-10736	553	9	boundary	boundary	ADJ
fumecheng-10736	553	10	conditions	condition	NOUN
fumecheng-10736	553	11	,	,	PUNCT
fumecheng-10736	553	12	hamilton	hamilton	PROPN
fumecheng-10736	553	13	’s	’s	PART
fumecheng-10736	553	14	principle	principle	NOUN
fumecheng-10736	553	15	is	be	AUX
fumecheng-10736	553	16	called	call	VERB
fumecheng-10736	553	17	for	for	ADP
fumecheng-10736	553	18	.	.	PUNCT
fumecheng-10736	554	1	three	three	NUM
fumecheng-10736	554	2	numerical	numerical	ADJ
fumecheng-10736	554	3	simulations	simulation	NOUN
fumecheng-10736	554	4	are	be	AUX
fumecheng-10736	554	5	presented	present	VERB
fumecheng-10736	554	6	to	to	PART
fumecheng-10736	554	7	characterize	characterize	VERB
fumecheng-10736	554	8	the	the	DET
fumecheng-10736	554	9	influences	influence	NOUN
fumecheng-10736	554	10	of	of	ADP
fumecheng-10736	554	11	the	the	DET
fumecheng-10736	554	12	material	material	ADJ
fumecheng-10736	554	13	small	small	ADJ
fumecheng-10736	554	14	-	-	PUNCT
fumecheng-10736	554	15	scale	scale	NOUN
fumecheng-10736	554	16	effect	effect	NOUN
fumecheng-10736	554	17	,	,	PUNCT
fumecheng-10736	554	18	the	the	DET
fumecheng-10736	554	19	surface	surface	NOUN
fumecheng-10736	554	20	-	-	PUNCT
fumecheng-10736	554	21	energy	energy	NOUN
fumecheng-10736	554	22	effect	effect	NOUN
fumecheng-10736	554	23	,	,	PUNCT
fumecheng-10736	554	24	and	and	CCONJ
fumecheng-10736	554	25	the	the	DET
fumecheng-10736	554	26	surrounding	surround	VERB
fumecheng-10736	554	27	substrate	substrate	NOUN
fumecheng-10736	554	28	medium	medium	NOUN
fumecheng-10736	554	29	on	on	ADP
fumecheng-10736	554	30	bending	bend	VERB
fumecheng-10736	554	31	,	,	PUNCT
fumecheng-10736	554	32	buckling	buckling	NOUN
fumecheng-10736	554	33	,	,	PUNCT
fumecheng-10736	554	34	and	and	CCONJ
fumecheng-10736	554	35	free	free	ADJ
fumecheng-10736	554	36	vibration	vibration	NOUN
fumecheng-10736	554	37	responses	response	NOUN
fumecheng-10736	554	38	of	of	ADP
fumecheng-10736	554	39	nanobeam	nanobeam	ADJ
fumecheng-10736	554	40	-	-	PUNCT
fumecheng-10736	554	41	substrate	substrate	NOUN
fumecheng-10736	554	42	medium	medium	ADJ
fumecheng-10736	554	43	systems	system	NOUN
fumecheng-10736	554	44	.	.	PUNCT
fumecheng-10736	555	1	the	the	DET
fumecheng-10736	555	2	first	first	ADJ
fumecheng-10736	555	3	simulation	simulation	NOUN
fumecheng-10736	555	4	possesses	possess	VERB
fumecheng-10736	555	5	two	two	NUM
fumecheng-10736	555	6	analysis	analysis	NOUN
fumecheng-10736	555	7	cases	case	NOUN
fumecheng-10736	555	8	and	and	CCONJ
fumecheng-10736	555	9	emphasizes	emphasize	VERB
fumecheng-10736	555	10	on	on	ADP
fumecheng-10736	555	11	bending	bend	VERB
fumecheng-10736	555	12	analyses	analysis	NOUN
fumecheng-10736	555	13	of	of	ADP
fumecheng-10736	555	14	nanobeam	nanobeam	ADJ
fumecheng-10736	555	15	-	-	PUNCT
fumecheng-10736	555	16	substrate	substrate	NOUN
fumecheng-10736	555	17	medium	medium	ADJ
fumecheng-10736	555	18	systems	system	NOUN
fumecheng-10736	555	19	.	.	PUNCT
fumecheng-10736	556	1	the	the	DET
fumecheng-10736	556	2	first	first	ADJ
fumecheng-10736	556	3	one	one	NUM
fumecheng-10736	556	4	presents	present	VERB
fumecheng-10736	556	5	the	the	DET
fumecheng-10736	556	6	ability	ability	NOUN
fumecheng-10736	556	7	of	of	ADP
fumecheng-10736	556	8	the	the	DET
fumecheng-10736	556	9	proposed	propose	VERB
fumecheng-10736	556	10	model	model	NOUN
fumecheng-10736	556	11	to	to	PART
fumecheng-10736	556	12	address	address	VERB
fumecheng-10736	556	13	the	the	DET
fumecheng-10736	556	14	size	size	NOUN
fumecheng-10736	556	15	dependency	dependency	NOUN
fumecheng-10736	556	16	under	under	ADP
fumecheng-10736	556	17	the	the	DET
fumecheng-10736	556	18	pure	pure	ADJ
fumecheng-10736	556	19	-	-	PUNCT
fumecheng-10736	556	20	bending	bend	VERB
fumecheng-10736	556	21	state	state	NOUN
fumecheng-10736	556	22	and	and	CCONJ
fumecheng-10736	556	23	shows	show	VERB
fumecheng-10736	556	24	the	the	DET
fumecheng-10736	556	25	stiffening	stiffen	VERB
fumecheng-10736	556	26	bending	bend	VERB
fumecheng-10736	556	27	response	response	NOUN
fumecheng-10736	556	28	associated	associate	VERB
fumecheng-10736	556	29	with	with	ADP
fumecheng-10736	556	30	the	the	DET
fumecheng-10736	556	31	material	material	ADJ
fumecheng-10736	556	32	small	small	ADJ
fumecheng-10736	556	33	-	-	PUNCT
fumecheng-10736	556	34	scale	scale	NOUN
fumecheng-10736	556	35	effect	effect	NOUN
fumecheng-10736	556	36	.	.	PUNCT
fumecheng-10736	557	1	the	the	DET
fumecheng-10736	557	2	second	second	ADJ
fumecheng-10736	557	3	bending	bending	NOUN
fumecheng-10736	557	4	,	,	PUNCT
fumecheng-10736	557	5	buckling	buckling	NOUN
fumecheng-10736	557	6	,	,	PUNCT
fumecheng-10736	557	7	and	and	CCONJ
fumecheng-10736	557	8	free	free	ADJ
fumecheng-10736	557	9	vibration	vibration	NOUN
fumecheng-10736	557	10	analyses	analysis	NOUN
fumecheng-10736	557	11	of	of	ADP
fumecheng-10736	557	12	nanobeam	nanobeam	ADJ
fumecheng-10736	557	13	-	-	PUNCT
fumecheng-10736	557	14	substrate	substrate	NOUN
fumecheng-10736	557	15	medium	medium	ADJ
fumecheng-10736	557	16	systems	system	NOUN
fumecheng-10736	557	17	583	583	NUM
fumecheng-10736	557	18	one	one	NUM
fumecheng-10736	557	19	shows	show	VERB
fumecheng-10736	557	20	that	that	SCONJ
fumecheng-10736	557	21	the	the	DET
fumecheng-10736	557	22	system	system	NOUN
fumecheng-10736	557	23	-	-	PUNCT
fumecheng-10736	557	24	stiffness	stiffness	NOUN
fumecheng-10736	557	25	enhancement	enhancement	NOUN
fumecheng-10736	557	26	associated	associate	VERB
fumecheng-10736	557	27	with	with	ADP
fumecheng-10736	557	28	the	the	DET
fumecheng-10736	557	29	material	material	ADJ
fumecheng-10736	557	30	small	small	ADJ
fumecheng-10736	557	31	-	-	PUNCT
fumecheng-10736	557	32	scale	scale	NOUN
fumecheng-10736	557	33	and	and	CCONJ
fumecheng-10736	557	34	surface	surface	NOUN
fumecheng-10736	557	35	-	-	PUNCT
fumecheng-10736	557	36	energy	energy	NOUN
fumecheng-10736	557	37	effects	effect	NOUN
fumecheng-10736	557	38	is	be	AUX
fumecheng-10736	557	39	more	more	ADV
fumecheng-10736	557	40	pronounced	pronounced	ADJ
fumecheng-10736	557	41	when	when	SCONJ
fumecheng-10736	557	42	the	the	DET
fumecheng-10736	557	43	underlying	underlie	VERB
fumecheng-10736	557	44	substrate	substrate	NOUN
fumecheng-10736	557	45	medium	medium	NOUN
fumecheng-10736	557	46	becomes	become	VERB
fumecheng-10736	557	47	softer	soft	ADJ
fumecheng-10736	557	48	and	and	CCONJ
fumecheng-10736	557	49	the	the	DET
fumecheng-10736	557	50	beam	beam	NOUN
fumecheng-10736	557	51	becomes	become	VERB
fumecheng-10736	557	52	more	more	ADV
fumecheng-10736	557	53	slender	slender	ADJ
fumecheng-10736	557	54	.	.	PUNCT
fumecheng-10736	558	1	the	the	DET
fumecheng-10736	558	2	second	second	ADJ
fumecheng-10736	558	3	simulation	simulation	NOUN
fumecheng-10736	558	4	assesses	assess	VERB
fumecheng-10736	558	5	the	the	DET
fumecheng-10736	558	6	combined	combine	VERB
fumecheng-10736	558	7	impacts	impact	NOUN
fumecheng-10736	558	8	of	of	ADP
fumecheng-10736	558	9	material	material	ADJ
fumecheng-10736	558	10	small	small	ADJ
fumecheng-10736	558	11	-	-	PUNCT
fumecheng-10736	558	12	scale	scale	NOUN
fumecheng-10736	558	13	,	,	PUNCT
fumecheng-10736	558	14	surface	surface	NOUN
fumecheng-10736	558	15	energy	energy	NOUN
fumecheng-10736	558	16	,	,	PUNCT
fumecheng-10736	558	17	and	and	CCONJ
fumecheng-10736	558	18	substrate	substrate	NOUN
fumecheng-10736	558	19	media	medium	NOUN
fumecheng-10736	558	20	on	on	ADP
fumecheng-10736	558	21	the	the	DET
fumecheng-10736	558	22	critical	critical	ADJ
fumecheng-10736	558	23	buckling	buckling	NOUN
fumecheng-10736	558	24	load	load	NOUN
fumecheng-10736	558	25	of	of	ADP
fumecheng-10736	558	26	a	a	DET
fumecheng-10736	558	27	simply	simply	ADV
fumecheng-10736	558	28	-	-	PUNCT
fumecheng-10736	558	29	supported	support	VERB
fumecheng-10736	558	30	nanobeamelastic	nanobeamelastic	ADJ
fumecheng-10736	558	31	substrate	substrate	NOUN
fumecheng-10736	558	32	system	system	NOUN
fumecheng-10736	558	33	.	.	PUNCT
fumecheng-10736	559	1	it	it	PRON
fumecheng-10736	559	2	is	be	AUX
fumecheng-10736	559	3	indicated	indicate	VERB
fumecheng-10736	559	4	that	that	SCONJ
fumecheng-10736	559	5	the	the	DET
fumecheng-10736	559	6	critical	critical	ADJ
fumecheng-10736	559	7	buckling	buckling	NOUN
fumecheng-10736	559	8	load	load	NOUN
fumecheng-10736	559	9	is	be	AUX
fumecheng-10736	559	10	enhanced	enhance	VERB
fumecheng-10736	559	11	by	by	ADP
fumecheng-10736	559	12	two	two	NUM
fumecheng-10736	559	13	distinct	distinct	ADJ
fumecheng-10736	559	14	stiffening	stiffen	VERB
fumecheng-10736	559	15	phenomena	phenomenon	NOUN
fumecheng-10736	559	16	.	.	PUNCT
fumecheng-10736	560	1	the	the	DET
fumecheng-10736	560	2	first	first	ADJ
fumecheng-10736	560	3	one	one	NOUN
fumecheng-10736	560	4	is	be	AUX
fumecheng-10736	560	5	associated	associate	VERB
fumecheng-10736	560	6	with	with	ADP
fumecheng-10736	560	7	the	the	DET
fumecheng-10736	560	8	material	material	ADJ
fumecheng-10736	560	9	small	small	ADJ
fumecheng-10736	560	10	-	-	PUNCT
fumecheng-10736	560	11	scale	scale	NOUN
fumecheng-10736	560	12	effect	effect	NOUN
fumecheng-10736	560	13	while	while	SCONJ
fumecheng-10736	560	14	the	the	DET
fumecheng-10736	560	15	second	second	ADJ
fumecheng-10736	560	16	one	one	NOUN
fumecheng-10736	560	17	is	be	AUX
fumecheng-10736	560	18	related	relate	VERB
fumecheng-10736	560	19	to	to	ADP
fumecheng-10736	560	20	the	the	DET
fumecheng-10736	560	21	surface	surface	NOUN
fumecheng-10736	560	22	-	-	PUNCT
fumecheng-10736	560	23	energy	energy	NOUN
fumecheng-10736	560	24	effect	effect	NOUN
fumecheng-10736	560	25	.	.	PUNCT
fumecheng-10736	561	1	however	however	ADV
fumecheng-10736	561	2	,	,	PUNCT
fumecheng-10736	561	3	these	these	DET
fumecheng-10736	561	4	two	two	NUM
fumecheng-10736	561	5	stiffening	stiffen	VERB
fumecheng-10736	561	6	phenomena	phenomenon	NOUN
fumecheng-10736	561	7	are	be	AUX
fumecheng-10736	561	8	less	less	ADV
fumecheng-10736	561	9	pronounced	pronounced	ADJ
fumecheng-10736	561	10	when	when	SCONJ
fumecheng-10736	561	11	the	the	DET
fumecheng-10736	561	12	underlying	underlie	VERB
fumecheng-10736	561	13	substrate	substrate	NOUN
fumecheng-10736	561	14	medium	medium	NOUN
fumecheng-10736	561	15	becomes	become	VERB
fumecheng-10736	561	16	softer	soft	ADJ
fumecheng-10736	561	17	.	.	PUNCT
fumecheng-10736	562	1	the	the	DET
fumecheng-10736	562	2	third	third	ADJ
fumecheng-10736	562	3	simulation	simulation	NOUN
fumecheng-10736	562	4	investigates	investigate	VERB
fumecheng-10736	562	5	the	the	DET
fumecheng-10736	562	6	combined	combine	VERB
fumecheng-10736	562	7	effects	effect	NOUN
fumecheng-10736	562	8	of	of	ADP
fumecheng-10736	562	9	material	material	ADJ
fumecheng-10736	562	10	small	small	ADJ
fumecheng-10736	562	11	-	-	PUNCT
fumecheng-10736	562	12	scale	scale	NOUN
fumecheng-10736	562	13	,	,	PUNCT
fumecheng-10736	562	14	surface	surface	NOUN
fumecheng-10736	562	15	energy	energy	NOUN
fumecheng-10736	562	16	,	,	PUNCT
fumecheng-10736	562	17	and	and	CCONJ
fumecheng-10736	562	18	substrate	substrate	NOUN
fumecheng-10736	562	19	media	medium	NOUN
fumecheng-10736	562	20	on	on	ADP
fumecheng-10736	562	21	the	the	DET
fumecheng-10736	562	22	fundamental	fundamental	ADJ
fumecheng-10736	562	23	frequency	frequency	NOUN
fumecheng-10736	562	24	of	of	ADP
fumecheng-10736	562	25	a	a	DET
fumecheng-10736	562	26	simply	simply	ADV
fumecheng-10736	562	27	-	-	PUNCT
fumecheng-10736	562	28	supported	support	VERB
fumecheng-10736	562	29	nanobeam	nanobeam	ADJ
fumecheng-10736	562	30	-	-	PUNCT
fumecheng-10736	562	31	elastic	elastic	ADJ
fumecheng-10736	562	32	substrate	substrate	NOUN
fumecheng-10736	562	33	system	system	NOUN
fumecheng-10736	562	34	.	.	PUNCT
fumecheng-10736	563	1	it	it	PRON
fumecheng-10736	563	2	is	be	AUX
fumecheng-10736	563	3	found	find	VERB
fumecheng-10736	563	4	that	that	SCONJ
fumecheng-10736	563	5	the	the	DET
fumecheng-10736	563	6	material	material	ADJ
fumecheng-10736	563	7	small	small	ADJ
fumecheng-10736	563	8	-	-	PUNCT
fumecheng-10736	563	9	scale	scale	NOUN
fumecheng-10736	563	10	and	and	CCONJ
fumecheng-10736	563	11	surfaceenergy	surfaceenergy	NOUN
fumecheng-10736	563	12	effects	effect	NOUN
fumecheng-10736	563	13	enhance	enhance	VERB
fumecheng-10736	563	14	the	the	DET
fumecheng-10736	563	15	system	system	NOUN
fumecheng-10736	563	16	stiffness	stiffness	NOUN
fumecheng-10736	563	17	while	while	SCONJ
fumecheng-10736	563	18	the	the	DET
fumecheng-10736	563	19	velocity	velocity	NOUN
fumecheng-10736	563	20	-	-	PUNCT
fumecheng-10736	563	21	gradient	gradient	NOUN
fumecheng-10736	563	22	effect	effect	NOUN
fumecheng-10736	563	23	lowers	lower	VERB
fumecheng-10736	563	24	the	the	DET
fumecheng-10736	563	25	system	system	NOUN
fumecheng-10736	563	26	stiffness	stiffness	NOUN
fumecheng-10736	563	27	,	,	PUNCT
fumecheng-10736	563	28	particularly	particularly	ADV
fumecheng-10736	563	29	for	for	ADP
fumecheng-10736	563	30	softer	soft	ADJ
fumecheng-10736	563	31	substrate	substrate	NOUN
fumecheng-10736	563	32	media	medium	NOUN
fumecheng-10736	563	33	.	.	PUNCT
fumecheng-10736	564	1	however	however	ADV
fumecheng-10736	564	2	,	,	PUNCT
fumecheng-10736	564	3	the	the	DET
fumecheng-10736	564	4	system	system	NOUN
fumecheng-10736	564	5	stiffening	stiffen	VERB
fumecheng-10736	564	6	phenomenon	phenomenon	NOUN
fumecheng-10736	564	7	associated	associate	VERB
fumecheng-10736	564	8	with	with	ADP
fumecheng-10736	564	9	the	the	DET
fumecheng-10736	564	10	material	material	ADJ
fumecheng-10736	564	11	small	small	ADJ
fumecheng-10736	564	12	-	-	PUNCT
fumecheng-10736	564	13	scale	scale	NOUN
fumecheng-10736	564	14	effect	effect	NOUN
fumecheng-10736	564	15	and	and	CCONJ
fumecheng-10736	564	16	the	the	DET
fumecheng-10736	564	17	surface	surface	NOUN
fumecheng-10736	564	18	-	-	PUNCT
fumecheng-10736	564	19	energy	energy	NOUN
fumecheng-10736	564	20	effect	effect	NOUN
fumecheng-10736	564	21	surpasses	surpass	VERB
fumecheng-10736	564	22	the	the	DET
fumecheng-10736	564	23	system	system	NOUN
fumecheng-10736	564	24	weakening	weaken	VERB
fumecheng-10736	564	25	phenomenon	phenomenon	NOUN
fumecheng-10736	564	26	associated	associate	VERB
fumecheng-10736	564	27	with	with	ADP
fumecheng-10736	564	28	the	the	DET
fumecheng-10736	564	29	velocity	velocity	NOUN
fumecheng-10736	564	30	-	-	PUNCT
fumecheng-10736	564	31	gradient	gradient	NOUN
fumecheng-10736	564	32	effect	effect	NOUN
fumecheng-10736	564	33	.	.	PUNCT
fumecheng-10736	565	1	therefore	therefore	ADV
fumecheng-10736	565	2	,	,	PUNCT
fumecheng-10736	565	3	the	the	DET
fumecheng-10736	565	4	combination	combination	NOUN
fumecheng-10736	565	5	of	of	ADP
fumecheng-10736	565	6	the	the	DET
fumecheng-10736	565	7	material	material	ADJ
fumecheng-10736	565	8	small	small	ADJ
fumecheng-10736	565	9	-	-	PUNCT
fumecheng-10736	565	10	scale	scale	NOUN
fumecheng-10736	565	11	effect	effect	NOUN
fumecheng-10736	565	12	,	,	PUNCT
fumecheng-10736	565	13	the	the	DET
fumecheng-10736	565	14	surface	surface	NOUN
fumecheng-10736	565	15	-	-	PUNCT
fumecheng-10736	565	16	energy	energy	NOUN
fumecheng-10736	565	17	effect	effect	NOUN
fumecheng-10736	565	18	,	,	PUNCT
fumecheng-10736	565	19	and	and	CCONJ
fumecheng-10736	565	20	the	the	DET
fumecheng-10736	565	21	velocity	velocity	NOUN
fumecheng-10736	565	22	-	-	PUNCT
fumecheng-10736	565	23	gradient	gradient	NOUN
fumecheng-10736	565	24	effect	effect	NOUN
fumecheng-10736	565	25	results	result	NOUN
fumecheng-10736	565	26	in	in	ADP
fumecheng-10736	565	27	a	a	DET
fumecheng-10736	565	28	higher	high	ADJ
fumecheng-10736	565	29	system	system	NOUN
fumecheng-10736	565	30	natural	natural	ADJ
fumecheng-10736	565	31	frequency	frequency	NOUN
fumecheng-10736	565	32	(	(	PUNCT
fumecheng-10736	565	33	1	1	NUM
fumecheng-10736	565	34			PROPN
fumecheng-10736	565	35	>	>	X
fumecheng-10736	565	36	1.0	1.0	NUM
fumecheng-10736	565	37	)	)	PUNCT
fumecheng-10736	565	38	for	for	ADP
fumecheng-10736	565	39	specific	specific	ADJ
fumecheng-10736	565	40	values	value	NOUN
fumecheng-10736	565	41	of	of	ADP
fumecheng-10736	565	42	system	system	NOUN
fumecheng-10736	565	43	parameters	parameter	NOUN
fumecheng-10736	565	44	investigated	investigate	VERB
fumecheng-10736	565	45	in	in	ADP
fumecheng-10736	565	46	the	the	DET
fumecheng-10736	565	47	current	current	ADJ
fumecheng-10736	565	48	study	study	NOUN
fumecheng-10736	565	49	.	.	PUNCT
fumecheng-10736	566	1	the	the	DET
fumecheng-10736	566	2	next	next	ADJ
fumecheng-10736	566	3	step	step	NOUN
fumecheng-10736	566	4	in	in	ADP
fumecheng-10736	566	5	developing	develop	VERB
fumecheng-10736	566	6	the	the	DET
fumecheng-10736	566	7	proposed	propose	VERB
fumecheng-10736	566	8	beam	beam	NOUN
fumecheng-10736	566	9	model	model	NOUN
fumecheng-10736	566	10	is	be	AUX
fumecheng-10736	566	11	considering	consider	VERB
fumecheng-10736	566	12	the	the	DET
fumecheng-10736	566	13	geometric	geometric	ADJ
fumecheng-10736	566	14	nonlinearity	nonlinearity	NOUN
fumecheng-10736	566	15	for	for	ADP
fumecheng-10736	566	16	analyses	analysis	NOUN
fumecheng-10736	566	17	of	of	ADP
fumecheng-10736	566	18	the	the	DET
fumecheng-10736	566	19	nanobeam	nanobeam	ADJ
fumecheng-10736	566	20	system	system	NOUN
fumecheng-10736	566	21	with	with	ADP
fumecheng-10736	566	22	large	large	ADJ
fumecheng-10736	566	23	displacement	displacement	NOUN
fumecheng-10736	566	24	.	.	PUNCT
fumecheng-10736	567	1	moreover	moreover	ADV
fumecheng-10736	567	2	,	,	PUNCT
fumecheng-10736	567	3	the	the	DET
fumecheng-10736	567	4	material	material	NOUN
fumecheng-10736	567	5	nonlinearity	nonlinearity	NOUN
fumecheng-10736	567	6	is	be	AUX
fumecheng-10736	567	7	included	include	VERB
fumecheng-10736	567	8	into	into	ADP
fumecheng-10736	567	9	the	the	DET
fumecheng-10736	567	10	model	model	NOUN
fumecheng-10736	567	11	and	and	CCONJ
fumecheng-10736	567	12	applying	apply	VERB
fumecheng-10736	567	13	the	the	DET
fumecheng-10736	567	14	model	model	NOUN
fumecheng-10736	567	15	to	to	PART
fumecheng-10736	567	16	assess	assess	VERB
fumecheng-10736	567	17	the	the	DET
fumecheng-10736	567	18	rational	rational	ADJ
fumecheng-10736	567	19	micro	micro	ADJ
fumecheng-10736	567	20	/	/	SYM
fumecheng-10736	567	21	nanobeam	nanobeam	ADJ
fumecheng-10736	567	22	structures	structure	NOUN
fumecheng-10736	567	23	against	against	ADP
fumecheng-10736	567	24	the	the	DET
fumecheng-10736	567	25	failure	failure	NOUN
fumecheng-10736	567	26	scenarios	scenario	NOUN
fumecheng-10736	567	27	in	in	ADP
fumecheng-10736	567	28	the	the	DET
fumecheng-10736	567	29	future	future	NOUN
fumecheng-10736	567	30	.	.	PUNCT
fumecheng-10736	568	1	acknowledgement	acknowledgement	NOUN
fumecheng-10736	568	2	:	:	PUNCT
fumecheng-10736	568	3	this	this	DET
fumecheng-10736	568	4	study	study	NOUN
fumecheng-10736	568	5	was	be	AUX
fumecheng-10736	568	6	financially	financially	ADV
fumecheng-10736	568	7	supported	support	VERB
fumecheng-10736	568	8	by	by	ADP
fumecheng-10736	568	9	office	office	NOUN
fumecheng-10736	568	10	of	of	ADP
fumecheng-10736	568	11	the	the	DET
fumecheng-10736	568	12	permanent	permanent	ADJ
fumecheng-10736	568	13	secretary	secretary	NOUN
fumecheng-10736	568	14	,	,	PUNCT
fumecheng-10736	568	15	ministry	ministry	PROPN
fumecheng-10736	568	16	of	of	ADP
fumecheng-10736	568	17	higher	high	ADJ
fumecheng-10736	568	18	education	education	NOUN
fumecheng-10736	568	19	,	,	PUNCT
fumecheng-10736	568	20	science	science	NOUN
fumecheng-10736	568	21	,	,	PUNCT
fumecheng-10736	568	22	research	research	NOUN
fumecheng-10736	568	23	and	and	CCONJ
fumecheng-10736	568	24	innovation	innovation	NOUN
fumecheng-10736	568	25	under	under	ADP
fumecheng-10736	568	26	research	research	NOUN
fumecheng-10736	568	27	grant	grant	NOUN
fumecheng-10736	568	28	for	for	ADP
fumecheng-10736	568	29	new	new	ADJ
fumecheng-10736	568	30	scholar	scholar	NOUN
fumecheng-10736	568	31	(	(	PUNCT
fumecheng-10736	568	32	rgns	rgn	VERB
fumecheng-10736	568	33	64	64	NUM
fumecheng-10736	568	34	-	-	SYM
fumecheng-10736	568	35	134	134	NUM
fumecheng-10736	568	36	)	)	PUNCT
fumecheng-10736	568	37	and	and	CCONJ
fumecheng-10736	568	38	by	by	ADP
fumecheng-10736	568	39	the	the	DET
fumecheng-10736	568	40	thailand	thailand	PROPN
fumecheng-10736	568	41	research	research	PROPN
fumecheng-10736	568	42	fund	fund	PROPN
fumecheng-10736	568	43	(	(	PUNCT
fumecheng-10736	568	44	trf	trf	NOUN
fumecheng-10736	568	45	)	)	PUNCT
fumecheng-10736	568	46	under	under	ADP
fumecheng-10736	568	47	grant	grant	PROPN
fumecheng-10736	568	48	(	(	PUNCT
fumecheng-10736	568	49	rta6280012	rta6280012	NOUN
fumecheng-10736	568	50	)	)	PUNCT
fumecheng-10736	568	51	.	.	PUNCT
fumecheng-10736	569	1	furthermore	furthermore	ADV
fumecheng-10736	569	2	,	,	PUNCT
fumecheng-10736	569	3	special	special	ADJ
fumecheng-10736	569	4	thanks	thank	NOUN
fumecheng-10736	569	5	go	go	VERB
fumecheng-10736	569	6	to	to	ADP
fumecheng-10736	569	7	a	a	DET
fumecheng-10736	569	8	senior	senior	ADJ
fumecheng-10736	569	9	lecturer	lecturer	NOUN
fumecheng-10736	569	10	mr	mr	PROPN
fumecheng-10736	569	11	.	.	PROPN
fumecheng-10736	569	12	wiwat	wiwat	PROPN
fumecheng-10736	569	13	sutiwipakorn	sutiwipakorn	VERB
fumecheng-10736	569	14	for	for	ADP
fumecheng-10736	569	15	reviewing	review	VERB
fumecheng-10736	569	16	and	and	CCONJ
fumecheng-10736	569	17	correcting	correct	VERB
fumecheng-10736	569	18	the	the	DET
fumecheng-10736	569	19	english	english	NOUN
fumecheng-10736	569	20	of	of	ADP
fumecheng-10736	569	21	this	this	DET
fumecheng-10736	569	22	paper	paper	NOUN
fumecheng-10736	569	23	.	.	PUNCT
fumecheng-10736	570	1	references	reference	NOUN
fumecheng-10736	570	2	1	1	NUM
fumecheng-10736	570	3	.	.	PUNCT
fumecheng-10736	571	1	iijima	iijima	PROPN
fumecheng-10736	571	2	,	,	PUNCT
fumecheng-10736	571	3	s.	s.	PROPN
fumecheng-10736	571	4	,	,	PUNCT
fumecheng-10736	571	5	1991	1991	NUM
fumecheng-10736	571	6	,	,	PUNCT
fumecheng-10736	571	7	helical	helical	ADJ
fumecheng-10736	571	8	microtubules	microtubule	NOUN
fumecheng-10736	571	9	of	of	ADP
fumecheng-10736	571	10	graphitic	graphitic	ADJ
fumecheng-10736	571	11	carbon	carbon	NOUN
fumecheng-10736	571	12	,	,	PUNCT
fumecheng-10736	571	13	nature	nature	NOUN
fumecheng-10736	571	14	,	,	PUNCT
fumecheng-10736	571	15	354	354	NUM
fumecheng-10736	571	16	,	,	PUNCT
fumecheng-10736	571	17	pp	pp	ADJ
fumecheng-10736	571	18	.	.	PUNCT
fumecheng-10736	572	1	56	56	NUM
fumecheng-10736	572	2	-	-	SYM
fumecheng-10736	572	3	58	58	NUM
fumecheng-10736	572	4	.	.	PUNCT
fumecheng-10736	573	1	2	2	NUM
fumecheng-10736	573	2	.	.	NOUN
fumecheng-10736	573	3	hornyak	hornyak	PROPN
fumecheng-10736	573	4	,	,	PUNCT
fumecheng-10736	573	5	g.l	g.l	PROPN
fumecheng-10736	573	6	.	.	PROPN
fumecheng-10736	573	7	,	,	PUNCT
fumecheng-10736	573	8	moore	moore	PROPN
fumecheng-10736	573	9	,	,	PUNCT
fumecheng-10736	573	10	j.j	j.j	PROPN
fumecheng-10736	573	11	.	.	PROPN
fumecheng-10736	573	12	,	,	PUNCT
fumecheng-10736	573	13	tibbals	tibbal	NOUN
fumecheng-10736	573	14	,	,	PUNCT
fumecheng-10736	573	15	h.f	h.f	PROPN
fumecheng-10736	573	16	.	.	PROPN
fumecheng-10736	573	17	,	,	PUNCT
fumecheng-10736	573	18	dutta	dutta	PROPN
fumecheng-10736	573	19	,	,	PUNCT
fumecheng-10736	573	20	j.	j.	PROPN
fumecheng-10736	573	21	,	,	PUNCT
fumecheng-10736	573	22	2008	2008	NUM
fumecheng-10736	573	23	,	,	PUNCT
fumecheng-10736	573	24	fundamentals	fundamental	NOUN
fumecheng-10736	573	25	of	of	ADP
fumecheng-10736	573	26	nanotechnology	nanotechnology	PROPN
fumecheng-10736	573	27	,	,	PUNCT
fumecheng-10736	573	28	taylor	taylor	PROPN
fumecheng-10736	573	29	&	&	CCONJ
fumecheng-10736	573	30	francis	francis	PROPN
fumecheng-10736	573	31	crc	crc	PROPN
fumecheng-10736	573	32	press	press	PROPN
fumecheng-10736	573	33	,	,	PUNCT
fumecheng-10736	573	34	boca	boca	PROPN
fumecheng-10736	573	35	raton	raton	PROPN
fumecheng-10736	573	36	,	,	PUNCT
fumecheng-10736	573	37	usa	usa	PROPN
fumecheng-10736	573	38	.	.	PROPN
fumecheng-10736	573	39	3	3	NUM
fumecheng-10736	573	40	.	.	X
fumecheng-10736	574	1	abouelregal	abouelregal	ADJ
fumecheng-10736	574	2	,	,	PUNCT
fumecheng-10736	574	3	a.e	a.e	PROPN
fumecheng-10736	574	4	.	.	PROPN
fumecheng-10736	574	5	,	,	PUNCT
fumecheng-10736	574	6	mohammad	mohammad	PROPN
fumecheng-10736	574	7	-	-	PUNCT
fumecheng-10736	574	8	sedighi	sedighi	PROPN
fumecheng-10736	574	9	,	,	PUNCT
fumecheng-10736	574	10	h.	h.	PROPN
fumecheng-10736	574	11	,	,	PUNCT
fumecheng-10736	574	12	faghidian	faghidian	PROPN
fumecheng-10736	574	13	,	,	PUNCT
fumecheng-10736	574	14	s.a	s.a	PROPN
fumecheng-10736	574	15	.	.	PROPN
fumecheng-10736	574	16	,	,	PUNCT
fumecheng-10736	574	17	shirazi	shirazi	PROPN
fumecheng-10736	574	18	,	,	PUNCT
fumecheng-10736	574	19	a.h	a.h	PROPN
fumecheng-10736	574	20	.	.	PROPN
fumecheng-10736	574	21	,	,	PUNCT
fumecheng-10736	574	22	2021	2021	NUM
fumecheng-10736	574	23	,	,	PUNCT
fumecheng-10736	574	24	temperature	temperature	NOUN
fumecheng-10736	574	25	-	-	PUNCT
fumecheng-10736	574	26	dependent	dependent	ADJ
fumecheng-10736	574	27	physical	physical	ADJ
fumecheng-10736	574	28	characteristics	characteristic	NOUN
fumecheng-10736	574	29	of	of	ADP
fumecheng-10736	574	30	the	the	DET
fumecheng-10736	574	31	rotating	rotate	VERB
fumecheng-10736	574	32	nonlocal	nonlocal	ADJ
fumecheng-10736	574	33	nanobeams	nanobeam	NOUN
fumecheng-10736	574	34	subject	subject	ADJ
fumecheng-10736	574	35	to	to	ADP
fumecheng-10736	574	36	a	a	DET
fumecheng-10736	574	37	varying	vary	VERB
fumecheng-10736	574	38	heat	heat	NOUN
fumecheng-10736	574	39	source	source	NOUN
fumecheng-10736	574	40	and	and	CCONJ
fumecheng-10736	574	41	a	a	DET
fumecheng-10736	574	42	dynamic	dynamic	ADJ
fumecheng-10736	574	43	load	load	NOUN
fumecheng-10736	574	44	,	,	PUNCT
fumecheng-10736	574	45	facta	facta	PROPN
fumecheng-10736	574	46	universitatis	universitatis	PROPN
fumecheng-10736	574	47	series	series	PROPN
fumecheng-10736	574	48	mechanical	mechanical	ADJ
fumecheng-10736	574	49	engineering	engineering	PROPN
fumecheng-10736	574	50	,	,	PUNCT
fumecheng-10736	574	51	19(4	19(4	PROPN
fumecheng-10736	574	52	)	)	PUNCT
fumecheng-10736	574	53	,	,	PUNCT
fumecheng-10736	574	54	pp	pp	ADP
fumecheng-10736	574	55	.	.	PUNCT
fumecheng-10736	575	1	633	633	NUM
fumecheng-10736	575	2	-	-	SYM
fumecheng-10736	575	3	656	656	NUM
fumecheng-10736	575	4	.	.	PUNCT
fumecheng-10736	576	1	4	4	X
fumecheng-10736	576	2	.	.	X
fumecheng-10736	576	3	uzun	uzun	PROPN
fumecheng-10736	576	4	,	,	PUNCT
fumecheng-10736	576	5	b.	b.	PROPN
fumecheng-10736	576	6	,	,	PUNCT
fumecheng-10736	576	7	civalek	civalek	VERB
fumecheng-10736	576	8	,	,	PUNCT
fumecheng-10736	576	9	o.	o.	PROPN
fumecheng-10736	576	10	,	,	PUNCT
fumecheng-10736	576	11	aydogdu	aydogdu	ADV
fumecheng-10736	576	12	,	,	PUNCT
fumecheng-10736	576	13	i.	i.	NOUN
fumecheng-10736	576	14	,	,	PUNCT
fumecheng-10736	576	15	2021	2021	NUM
fumecheng-10736	576	16	,	,	PUNCT
fumecheng-10736	576	17	optimum	optimum	ADJ
fumecheng-10736	576	18	design	design	NOUN
fumecheng-10736	576	19	of	of	ADP
fumecheng-10736	576	20	nano	nano	NOUN
fumecheng-10736	576	21	-	-	PUNCT
fumecheng-10736	576	22	scaled	scale	VERB
fumecheng-10736	576	23	beam	beam	NOUN
fumecheng-10736	576	24	using	use	VERB
fumecheng-10736	576	25	the	the	DET
fumecheng-10736	576	26	social	social	ADJ
fumecheng-10736	576	27	spider	spider	NOUN
fumecheng-10736	576	28	optimization	optimization	NOUN
fumecheng-10736	576	29	(	(	PUNCT
fumecheng-10736	576	30	sso	sso	NOUN
fumecheng-10736	576	31	)	)	PUNCT
fumecheng-10736	576	32	algorithm	algorithm	NOUN
fumecheng-10736	576	33	,	,	PUNCT
fumecheng-10736	576	34	journal	journal	NOUN
fumecheng-10736	576	35	of	of	ADP
fumecheng-10736	576	36	applied	applied	ADJ
fumecheng-10736	576	37	and	and	CCONJ
fumecheng-10736	576	38	computational	computational	ADJ
fumecheng-10736	576	39	mechanics	mechanic	NOUN
fumecheng-10736	576	40	,	,	PUNCT
fumecheng-10736	576	41	7(3	7(3	NUM
fumecheng-10736	576	42	)	)	PUNCT
fumecheng-10736	576	43	,	,	PUNCT
fumecheng-10736	577	1	pp	pp	ADP
fumecheng-10736	577	2	.	.	PUNCT
fumecheng-10736	578	1	1348	1348	NUM
fumecheng-10736	578	2	-	-	SYM
fumecheng-10736	578	3	1361	1361	NUM
fumecheng-10736	578	4	.	.	PUNCT
fumecheng-10736	579	1	5	5	X
fumecheng-10736	579	2	.	.	X
fumecheng-10736	579	3	lam	lam	PROPN
fumecheng-10736	579	4	,	,	PUNCT
fumecheng-10736	579	5	d.c.c	d.c.c	PROPN
fumecheng-10736	579	6	.	.	PROPN
fumecheng-10736	579	7	,	,	PUNCT
fumecheng-10736	579	8	yang	yang	PROPN
fumecheng-10736	579	9	,	,	PUNCT
fumecheng-10736	579	10	f.	f.	PROPN
fumecheng-10736	579	11	,	,	PUNCT
fumecheng-10736	579	12	chong	chong	PROPN
fumecheng-10736	579	13	,	,	PUNCT
fumecheng-10736	579	14	a.c.m	a.c.m	PROPN
fumecheng-10736	579	15	.	.	PROPN
fumecheng-10736	579	16	,	,	PUNCT
fumecheng-10736	579	17	wang	wang	PROPN
fumecheng-10736	579	18	,	,	PUNCT
fumecheng-10736	579	19	j.	j.	PROPN
fumecheng-10736	579	20	,	,	PUNCT
fumecheng-10736	579	21	tong	tong	PROPN
fumecheng-10736	579	22	,	,	PUNCT
fumecheng-10736	579	23	p.	p.	PROPN
fumecheng-10736	579	24	,	,	PUNCT
fumecheng-10736	579	25	2003	2003	NUM
fumecheng-10736	579	26	,	,	PUNCT
fumecheng-10736	579	27	experiments	experiment	NOUN
fumecheng-10736	579	28	and	and	CCONJ
fumecheng-10736	579	29	theory	theory	NOUN
fumecheng-10736	579	30	in	in	ADP
fumecheng-10736	579	31	strain	strain	NOUN
fumecheng-10736	579	32	gradient	gradient	ADJ
fumecheng-10736	579	33	elasticity	elasticity	NOUN
fumecheng-10736	579	34	,	,	PUNCT
fumecheng-10736	579	35	journal	journal	NOUN
fumecheng-10736	579	36	of	of	ADP
fumecheng-10736	579	37	the	the	DET
fumecheng-10736	579	38	mechanics	mechanic	NOUN
fumecheng-10736	579	39	and	and	CCONJ
fumecheng-10736	579	40	physics	physic	NOUN
fumecheng-10736	579	41	of	of	ADP
fumecheng-10736	579	42	solids	solid	NOUN
fumecheng-10736	579	43	,	,	PUNCT
fumecheng-10736	579	44	51(8	51(8	NUM
fumecheng-10736	579	45	)	)	PUNCT
fumecheng-10736	579	46	,	,	PUNCT
fumecheng-10736	579	47	pp	pp	ADP
fumecheng-10736	579	48	.	.	PUNCT
fumecheng-10736	579	49	1477	1477	NUM
fumecheng-10736	579	50	-	-	SYM
fumecheng-10736	579	51	1508	1508	NUM
fumecheng-10736	579	52	.	.	PUNCT
fumecheng-10736	580	1	6	6	NUM
fumecheng-10736	580	2	.	.	X
fumecheng-10736	580	3	jung	jung	PROPN
fumecheng-10736	580	4	,	,	PUNCT
fumecheng-10736	580	5	w.-y	w.-y	NOUN
fumecheng-10736	580	6	.	.	PUNCT
fumecheng-10736	580	7	,	,	PUNCT
fumecheng-10736	580	8	han	han	PROPN
fumecheng-10736	580	9	,	,	PUNCT
fumecheng-10736	580	10	s.-c	s.-c	PROPN
fumecheng-10736	580	11	.	.	PROPN
fumecheng-10736	580	12	,	,	PUNCT
fumecheng-10736	580	13	2015	2015	NUM
fumecheng-10736	580	14	,	,	PUNCT
fumecheng-10736	580	15	static	static	ADJ
fumecheng-10736	580	16	and	and	CCONJ
fumecheng-10736	580	17	eigenvalue	eigenvalue	ADJ
fumecheng-10736	580	18	problems	problem	NOUN
fumecheng-10736	580	19	of	of	ADP
fumecheng-10736	580	20	sigmoid	sigmoid	NOUN
fumecheng-10736	580	21	functionally	functionally	ADV
fumecheng-10736	580	22	graded	grade	VERB
fumecheng-10736	580	23	materials	material	NOUN
fumecheng-10736	580	24	(	(	PUNCT
fumecheng-10736	580	25	s	s	NOUN
fumecheng-10736	580	26	-	-	PUNCT
fumecheng-10736	580	27	fgm	fgm	ADJ
fumecheng-10736	580	28	)	)	PUNCT
fumecheng-10736	580	29	micro	micro	ADJ
fumecheng-10736	580	30	-	-	NOUN
fumecheng-10736	580	31	scale	scale	ADJ
fumecheng-10736	580	32	plates	plate	NOUN
fumecheng-10736	580	33	using	use	VERB
fumecheng-10736	580	34	the	the	DET
fumecheng-10736	580	35	modified	modify	VERB
fumecheng-10736	580	36	couple	couple	NOUN
fumecheng-10736	580	37	stress	stress	NOUN
fumecheng-10736	580	38	theory	theory	NOUN
fumecheng-10736	580	39	,	,	PUNCT
fumecheng-10736	580	40	applied	apply	VERB
fumecheng-10736	580	41	mathematical	mathematical	ADJ
fumecheng-10736	580	42	modelling	modelling	NOUN
fumecheng-10736	580	43	,	,	PUNCT
fumecheng-10736	580	44	39(12	39(12	NUM
fumecheng-10736	580	45	)	)	PUNCT
fumecheng-10736	580	46	,	,	PUNCT
fumecheng-10736	580	47	pp	pp	PROPN
fumecheng-10736	580	48	.	.	PUNCT
fumecheng-10736	581	1	3506	3506	NUM
fumecheng-10736	581	2	-	-	SYM
fumecheng-10736	581	3	3524	3524	NUM
fumecheng-10736	581	4	.	.	PUNCT
fumecheng-10736	582	1	7	7	X
fumecheng-10736	582	2	.	.	X
fumecheng-10736	582	3	zhu	zhu	PROPN
fumecheng-10736	582	4	,	,	PUNCT
fumecheng-10736	582	5	z.	z.	PROPN
fumecheng-10736	582	6	,	,	PUNCT
fumecheng-10736	582	7	wang	wang	PROPN
fumecheng-10736	582	8	,	,	PUNCT
fumecheng-10736	582	9	z.	z.	PROPN
fumecheng-10736	582	10	,	,	PUNCT
fumecheng-10736	582	11	zhou	zhou	PROPN
fumecheng-10736	582	12	,	,	PUNCT
fumecheng-10736	582	13	y.	y.	PROPN
fumecheng-10736	582	14	,	,	PUNCT
fumecheng-10736	582	15	chen	chen	PROPN
fumecheng-10736	582	16	,	,	PUNCT
fumecheng-10736	582	17	y.	y.	PROPN
fumecheng-10736	582	18	,	,	PUNCT
fumecheng-10736	582	19	zhou	zhou	PROPN
fumecheng-10736	582	20	,	,	PUNCT
fumecheng-10736	582	21	l.	l.	PROPN
fumecheng-10736	582	22	,	,	PUNCT
fumecheng-10736	582	23	she	she	PRON
fumecheng-10736	582	24	,	,	PUNCT
fumecheng-10736	582	25	a.	a.	NOUN
fumecheng-10736	582	26	,	,	PUNCT
fumecheng-10736	582	27	2021	2021	NUM
fumecheng-10736	582	28	,	,	PUNCT
fumecheng-10736	582	29	evaluation	evaluation	NOUN
fumecheng-10736	582	30	of	of	ADP
fumecheng-10736	582	31	the	the	DET
fumecheng-10736	582	32	nanostructure	nanostructure	NOUN
fumecheng-10736	582	33	of	of	ADP
fumecheng-10736	582	34	calcium	calcium	NOUN
fumecheng-10736	582	35	silicate	silicate	NOUN
fumecheng-10736	582	36	hydrate	hydrate	NOUN
fumecheng-10736	582	37	based	base	VERB
fumecheng-10736	582	38	on	on	ADP
fumecheng-10736	582	39	atomic	atomic	ADJ
fumecheng-10736	582	40	force	force	NOUN
fumecheng-10736	582	41	microscopy	microscopy	NOUN
fumecheng-10736	582	42	-	-	PUNCT
fumecheng-10736	582	43	infrared	infrare	VERB
fumecheng-10736	582	44	spectroscopy	spectroscopy	NOUN
fumecheng-10736	582	45	experiments	experiment	NOUN
fumecheng-10736	582	46	,	,	PUNCT
fumecheng-10736	582	47	nanotechnology	nanotechnology	NOUN
fumecheng-10736	582	48	reviews	review	NOUN
fumecheng-10736	582	49	,	,	PUNCT
fumecheng-10736	582	50	10(1	10(1	NUM
fumecheng-10736	582	51	)	)	PUNCT
fumecheng-10736	582	52	,	,	PUNCT
fumecheng-10736	582	53	pp	pp	PROPN
fumecheng-10736	582	54	.	.	PUNCT
fumecheng-10736	583	1	807	807	NUM
fumecheng-10736	583	2	-	-	SYM
fumecheng-10736	583	3	818	818	NUM
fumecheng-10736	583	4	.	.	PUNCT
fumecheng-10736	584	1	8	8	NUM
fumecheng-10736	584	2	.	.	X
fumecheng-10736	584	3	senturia	senturia	PROPN
fumecheng-10736	584	4	,	,	PUNCT
fumecheng-10736	584	5	s.d	s.d	PROPN
fumecheng-10736	584	6	.	.	PROPN
fumecheng-10736	584	7	,	,	PUNCT
fumecheng-10736	584	8	2001	2001	NUM
fumecheng-10736	584	9	,	,	PUNCT
fumecheng-10736	584	10	microsystem	microsystem	NOUN
fumecheng-10736	584	11	design	design	NOUN
fumecheng-10736	584	12	,	,	PUNCT
fumecheng-10736	584	13	springer	springer	NOUN
fumecheng-10736	584	14	,	,	PUNCT
fumecheng-10736	584	15	boston	boston	PROPN
fumecheng-10736	584	16	,	,	PUNCT
fumecheng-10736	584	17	ma	ma	PROPN
fumecheng-10736	584	18	,	,	PUNCT
fumecheng-10736	584	19	usa	usa	PROPN
fumecheng-10736	584	20	.	.	PROPN
fumecheng-10736	585	1	584	584	NUM
fumecheng-10736	585	2	s.	s.	PROPN
fumecheng-10736	585	3	limkatanyu	limkatanyu	PROPN
fumecheng-10736	585	4	,	,	PUNCT
fumecheng-10736	585	5	w.	w.	PROPN
fumecheng-10736	585	6	sae	sae	PROPN
fumecheng-10736	585	7	-	-	PROPN
fumecheng-10736	585	8	long	long	ADV
fumecheng-10736	585	9	,	,	PUNCT
fumecheng-10736	585	10	j.	j.	PROPN
fumecheng-10736	585	11	rungamornrat	rungamornrat	PROPN
fumecheng-10736	585	12	,	,	PUNCT
fumecheng-10736	585	13	et	et	PROPN
fumecheng-10736	585	14	al	al	PROPN
fumecheng-10736	585	15	.	.	PROPN
fumecheng-10736	585	16	9	9	NUM
fumecheng-10736	585	17	.	.	X
fumecheng-10736	585	18	limkatanyu	limkatanyu	PROPN
fumecheng-10736	585	19	,	,	PUNCT
fumecheng-10736	585	20	s.	s.	PROPN
fumecheng-10736	585	21	,	,	PUNCT
fumecheng-10736	585	22	prachasaree	prachasaree	PROPN
fumecheng-10736	585	23	,	,	PUNCT
fumecheng-10736	585	24	w.	w.	PROPN
fumecheng-10736	585	25	,	,	PUNCT
fumecheng-10736	585	26	damrongwiriyanupap	damrongwiriyanupap	PROPN
fumecheng-10736	585	27	,	,	PUNCT
fumecheng-10736	585	28	n.	n.	PROPN
fumecheng-10736	585	29	,	,	PUNCT
fumecheng-10736	585	30	kwon	kwon	PROPN
fumecheng-10736	585	31	,	,	PUNCT
fumecheng-10736	585	32	m.	m.	NOUN
fumecheng-10736	585	33	,	,	PUNCT
fumecheng-10736	585	34	2014	2014	NUM
fumecheng-10736	585	35	,	,	PUNCT
fumecheng-10736	585	36	exact	exact	ADJ
fumecheng-10736	585	37	stiffness	stiffness	NOUN
fumecheng-10736	585	38	matrix	matrix	NOUN
fumecheng-10736	585	39	for	for	ADP
fumecheng-10736	585	40	nonlocal	nonlocal	ADJ
fumecheng-10736	585	41	bars	bar	NOUN
fumecheng-10736	585	42	embedded	embed	VERB
fumecheng-10736	585	43	in	in	ADP
fumecheng-10736	585	44	elastic	elastic	ADJ
fumecheng-10736	585	45	foundation	foundation	NOUN
fumecheng-10736	585	46	media	medium	NOUN
fumecheng-10736	585	47	:	:	PUNCT
fumecheng-10736	585	48	the	the	DET
fumecheng-10736	585	49	virtual	virtual	ADJ
fumecheng-10736	585	50	-	-	PUNCT
fumecheng-10736	585	51	force	force	NOUN
fumecheng-10736	585	52	approach	approach	NOUN
fumecheng-10736	585	53	,	,	PUNCT
fumecheng-10736	585	54	journal	journal	NOUN
fumecheng-10736	585	55	of	of	ADP
fumecheng-10736	585	56	engineering	engineering	NOUN
fumecheng-10736	585	57	mathematics	mathematic	NOUN
fumecheng-10736	585	58	,	,	PUNCT
fumecheng-10736	585	59	89	89	NUM
fumecheng-10736	585	60	,	,	PUNCT
fumecheng-10736	585	61	pp	pp	ADJ
fumecheng-10736	585	62	.	.	PUNCT
fumecheng-10736	586	1	163	163	NUM
fumecheng-10736	586	2	-	-	SYM
fumecheng-10736	586	3	176	176	NUM
fumecheng-10736	586	4	.	.	PUNCT
fumecheng-10736	587	1	10	10	NUM
fumecheng-10736	587	2	.	.	PUNCT
fumecheng-10736	588	1	ghodrati	ghodrati	PROPN
fumecheng-10736	588	2	,	,	PUNCT
fumecheng-10736	588	3	b.	b.	PROPN
fumecheng-10736	588	4	,	,	PUNCT
fumecheng-10736	588	5	yaghootian	yaghootian	PROPN
fumecheng-10736	588	6	,	,	PUNCT
fumecheng-10736	588	7	a.	a.	PROPN
fumecheng-10736	588	8	,	,	PUNCT
fumecheng-10736	588	9	zadeh	zadeh	PROPN
fumecheng-10736	588	10	,	,	PUNCT
fumecheng-10736	588	11	a.g	a.g	PROPN
fumecheng-10736	588	12	.	.	PROPN
fumecheng-10736	588	13	,	,	PUNCT
fumecheng-10736	588	14	mohammad	mohammad	PROPN
fumecheng-10736	588	15	-	-	PUNCT
fumecheng-10736	588	16	sedighi	sedighi	PROPN
fumecheng-10736	588	17	,	,	PUNCT
fumecheng-10736	588	18	h.	h.	PROPN
fumecheng-10736	588	19	,	,	PUNCT
fumecheng-10736	588	20	2018	2018	NUM
fumecheng-10736	588	21	,	,	PUNCT
fumecheng-10736	588	22	lamb	lamb	PROPN
fumecheng-10736	588	23	wave	wave	NOUN
fumecheng-10736	588	24	extraction	extraction	NOUN
fumecheng-10736	588	25	of	of	ADP
fumecheng-10736	588	26	dispersion	dispersion	NOUN
fumecheng-10736	588	27	curves	curve	NOUN
fumecheng-10736	588	28	in	in	ADP
fumecheng-10736	588	29	micro	micro	NOUN
fumecheng-10736	588	30	/	/	SYM
fumecheng-10736	588	31	nano	nano	NOUN
fumecheng-10736	588	32	-	-	PUNCT
fumecheng-10736	588	33	plates	plate	NOUN
fumecheng-10736	588	34	using	use	VERB
fumecheng-10736	588	35	couple	couple	NOUN
fumecheng-10736	588	36	stress	stress	NOUN
fumecheng-10736	588	37	theories	theory	NOUN
fumecheng-10736	588	38	,	,	PUNCT
fumecheng-10736	588	39	waves	wave	NOUN
fumecheng-10736	588	40	in	in	ADP
fumecheng-10736	588	41	random	random	ADJ
fumecheng-10736	588	42	and	and	CCONJ
fumecheng-10736	588	43	complex	complex	ADJ
fumecheng-10736	588	44	media	medium	NOUN
fumecheng-10736	588	45	,	,	PUNCT
fumecheng-10736	588	46	28(1	28(1	NOUN
fumecheng-10736	588	47	)	)	PUNCT
fumecheng-10736	588	48	,	,	PUNCT
fumecheng-10736	588	49	pp	pp	ADP
fumecheng-10736	588	50	.	.	PUNCT
fumecheng-10736	589	1	15	15	NUM
fumecheng-10736	589	2	-	-	SYM
fumecheng-10736	589	3	34	34	NUM
fumecheng-10736	589	4	.	.	PUNCT
fumecheng-10736	590	1	11	11	NUM
fumecheng-10736	590	2	.	.	PUNCT
fumecheng-10736	591	1	limkatanyu	limkatanyu	PROPN
fumecheng-10736	591	2	,	,	PUNCT
fumecheng-10736	591	3	s.	s.	PROPN
fumecheng-10736	591	4	,	,	PUNCT
fumecheng-10736	591	5	sae	sae	PROPN
fumecheng-10736	591	6	-	-	PROPN
fumecheng-10736	591	7	long	long	ADV
fumecheng-10736	591	8	,	,	PUNCT
fumecheng-10736	591	9	w.	w.	PROPN
fumecheng-10736	591	10	,	,	PUNCT
fumecheng-10736	591	11	horpibulsuk	horpibulsuk	PROPN
fumecheng-10736	591	12	,	,	PUNCT
fumecheng-10736	591	13	s.	s.	PROPN
fumecheng-10736	591	14	,	,	PUNCT
fumecheng-10736	591	15	prachasaree	prachasaree	PROPN
fumecheng-10736	591	16	,	,	PUNCT
fumecheng-10736	591	17	w.	w.	PROPN
fumecheng-10736	591	18	,	,	PUNCT
fumecheng-10736	591	19	damrongwiriyanupap	damrongwiriyanupap	PROPN
fumecheng-10736	591	20	,	,	PUNCT
fumecheng-10736	591	21	n.	n.	NOUN
fumecheng-10736	591	22	,	,	PUNCT
fumecheng-10736	591	23	2018	2018	NUM
fumecheng-10736	591	24	,	,	PUNCT
fumecheng-10736	591	25	flexural	flexural	ADJ
fumecheng-10736	591	26	responses	response	NOUN
fumecheng-10736	591	27	of	of	ADP
fumecheng-10736	591	28	nanobeams	nanobeam	NOUN
fumecheng-10736	591	29	with	with	ADP
fumecheng-10736	591	30	coupled	couple	VERB
fumecheng-10736	591	31	effects	effect	NOUN
fumecheng-10736	591	32	of	of	ADP
fumecheng-10736	591	33	nonlocality	nonlocality	NOUN
fumecheng-10736	591	34	and	and	CCONJ
fumecheng-10736	591	35	surface	surface	NOUN
fumecheng-10736	591	36	energy	energy	NOUN
fumecheng-10736	591	37	,	,	PUNCT
fumecheng-10736	591	38	zamm	zamm	PROPN
fumecheng-10736	591	39	journal	journal	PROPN
fumecheng-10736	591	40	of	of	ADP
fumecheng-10736	591	41	applied	apply	VERB
fumecheng-10736	591	42	mathematics	mathematic	NOUN
fumecheng-10736	591	43	and	and	CCONJ
fumecheng-10736	591	44	mechanics	mechanic	NOUN
fumecheng-10736	591	45	,	,	PUNCT
fumecheng-10736	591	46	98(10	98(10	NUM
fumecheng-10736	591	47	)	)	PUNCT
fumecheng-10736	591	48	,	,	PUNCT
fumecheng-10736	591	49	pp	pp	ADP
fumecheng-10736	591	50	.	.	PUNCT
fumecheng-10736	592	1	1771	1771	NUM
fumecheng-10736	592	2	-	-	SYM
fumecheng-10736	592	3	1793	1793	NUM
fumecheng-10736	592	4	.	.	PUNCT
fumecheng-10736	593	1	12	12	NUM
fumecheng-10736	593	2	.	.	PUNCT
fumecheng-10736	594	1	barretta	barretta	NOUN
fumecheng-10736	594	2	,	,	PUNCT
fumecheng-10736	594	3	r.	r.	PROPN
fumecheng-10736	594	4	,	,	PUNCT
fumecheng-10736	594	5	canadija	canadija	NOUN
fumecheng-10736	594	6	,	,	PUNCT
fumecheng-10736	594	7	m.	m.	NOUN
fumecheng-10736	594	8	,	,	PUNCT
fumecheng-10736	594	9	marotti	marotti	PROPN
fumecheng-10736	594	10	de	de	X
fumecheng-10736	594	11	sciarra	sciarra	PROPN
fumecheng-10736	594	12	,	,	PUNCT
fumecheng-10736	594	13	f.	f.	PROPN
fumecheng-10736	594	14	,	,	PUNCT
fumecheng-10736	594	15	2020	2020	NUM
fumecheng-10736	594	16	,	,	PUNCT
fumecheng-10736	594	17	nonlocal	nonlocal	ADJ
fumecheng-10736	594	18	mechanical	mechanical	ADJ
fumecheng-10736	594	19	behavior	behavior	NOUN
fumecheng-10736	594	20	of	of	ADP
fumecheng-10736	594	21	layered	layered	ADJ
fumecheng-10736	594	22	nanobeams	nanobeam	NOUN
fumecheng-10736	594	23	,	,	PUNCT
fumecheng-10736	594	24	symmetry	symmetry	NOUN
fumecheng-10736	594	25	,	,	PUNCT
fumecheng-10736	594	26	12(5	12(5	NUM
fumecheng-10736	594	27	)	)	PUNCT
fumecheng-10736	594	28	,	,	PUNCT
fumecheng-10736	594	29	717	717	NUM
fumecheng-10736	594	30	.	.	NOUN
fumecheng-10736	594	31	13	13	NUM
fumecheng-10736	594	32	.	.	X
fumecheng-10736	595	1	pourabdy	pourabdy	PROPN
fumecheng-10736	595	2	,	,	PUNCT
fumecheng-10736	595	3	m.	m.	NOUN
fumecheng-10736	595	4	,	,	PUNCT
fumecheng-10736	595	5	shishesaz	shishesaz	PROPN
fumecheng-10736	595	6	,	,	PUNCT
fumecheng-10736	595	7	m.	m.	NOUN
fumecheng-10736	595	8	,	,	PUNCT
fumecheng-10736	595	9	shahrooi	shahrooi	NOUN
fumecheng-10736	595	10	,	,	PUNCT
fumecheng-10736	595	11	s.	s.	PROPN
fumecheng-10736	595	12	,	,	PUNCT
fumecheng-10736	595	13	roknizadeh	roknizadeh	PROPN
fumecheng-10736	595	14	,	,	PUNCT
fumecheng-10736	595	15	s.a.s	s.a.s	PROPN
fumecheng-10736	595	16	.	.	PROPN
fumecheng-10736	595	17	,	,	PUNCT
fumecheng-10736	595	18	2021	2021	NUM
fumecheng-10736	595	19	,	,	PUNCT
fumecheng-10736	595	20	analysis	analysis	NOUN
fumecheng-10736	595	21	of	of	ADP
fumecheng-10736	595	22	axisymmetric	axisymmetric	ADJ
fumecheng-10736	595	23	vibration	vibration	NOUN
fumecheng-10736	595	24	of	of	ADP
fumecheng-10736	595	25	functionally	functionally	ADV
fumecheng-10736	595	26	-	-	PUNCT
fumecheng-10736	595	27	graded	grade	VERB
fumecheng-10736	595	28	circular	circular	ADJ
fumecheng-10736	595	29	nano	nano	NOUN
fumecheng-10736	595	30	-	-	PUNCT
fumecheng-10736	595	31	plate	plate	NOUN
fumecheng-10736	595	32	based	base	VERB
fumecheng-10736	595	33	on	on	ADP
fumecheng-10736	595	34	the	the	DET
fumecheng-10736	595	35	integral	integral	ADJ
fumecheng-10736	595	36	form	form	NOUN
fumecheng-10736	595	37	of	of	ADP
fumecheng-10736	595	38	the	the	DET
fumecheng-10736	595	39	strain	strain	NOUN
fumecheng-10736	595	40	gradient	gradient	NOUN
fumecheng-10736	595	41	model	model	NOUN
fumecheng-10736	595	42	,	,	PUNCT
fumecheng-10736	595	43	journal	journal	NOUN
fumecheng-10736	595	44	of	of	ADP
fumecheng-10736	595	45	applied	applied	ADJ
fumecheng-10736	595	46	and	and	CCONJ
fumecheng-10736	595	47	computational	computational	ADJ
fumecheng-10736	595	48	mechanics	mechanic	NOUN
fumecheng-10736	595	49	,	,	PUNCT
fumecheng-10736	595	50	7(4	7(4	NUM
fumecheng-10736	595	51	)	)	PUNCT
fumecheng-10736	595	52	,	,	PUNCT
fumecheng-10736	595	53	pp	pp	ADP
fumecheng-10736	595	54	.	.	PUNCT
fumecheng-10736	595	55	2196	2196	NUM
fumecheng-10736	595	56	-	-	SYM
fumecheng-10736	595	57	2220	2220	NUM
fumecheng-10736	595	58	.	.	PUNCT
fumecheng-10736	596	1	14	14	NUM
fumecheng-10736	596	2	.	.	PUNCT
fumecheng-10736	597	1	müller	müller	PROPN
fumecheng-10736	597	2	,	,	PUNCT
fumecheng-10736	597	3	p.	p.	NOUN
fumecheng-10736	597	4	,	,	PUNCT
fumecheng-10736	597	5	saúl	saúl	PROPN
fumecheng-10736	597	6	,	,	PUNCT
fumecheng-10736	597	7	a.	a.	NOUN
fumecheng-10736	597	8	,	,	PUNCT
fumecheng-10736	597	9	2004	2004	NUM
fumecheng-10736	597	10	,	,	PUNCT
fumecheng-10736	597	11	elastic	elastic	ADJ
fumecheng-10736	597	12	effects	effect	NOUN
fumecheng-10736	597	13	on	on	ADP
fumecheng-10736	597	14	surface	surface	NOUN
fumecheng-10736	597	15	physics	physics	NOUN
fumecheng-10736	597	16	,	,	PUNCT
fumecheng-10736	597	17	surface	surface	NOUN
fumecheng-10736	597	18	science	science	NOUN
fumecheng-10736	597	19	reports	report	NOUN
fumecheng-10736	597	20	,	,	PUNCT
fumecheng-10736	597	21	54(5	54(5	NUM
fumecheng-10736	597	22	-	-	PUNCT
fumecheng-10736	597	23	8)	8)	NUM
fumecheng-10736	597	24	,	,	PUNCT
fumecheng-10736	597	25	pp	pp	ADJ
fumecheng-10736	597	26	.	.	PUNCT
fumecheng-10736	598	1	157	157	NUM
fumecheng-10736	598	2	-	-	SYM
fumecheng-10736	598	3	258	258	NUM
fumecheng-10736	598	4	.	.	PUNCT
fumecheng-10736	599	1	15	15	NUM
fumecheng-10736	599	2	.	.	PUNCT
fumecheng-10736	599	3	shenoy	shenoy	NOUN
fumecheng-10736	599	4	,	,	PUNCT
fumecheng-10736	599	5	v.b	v.b	PROPN
fumecheng-10736	599	6	.	.	PROPN
fumecheng-10736	599	7	,	,	PUNCT
fumecheng-10736	599	8	2005	2005	NUM
fumecheng-10736	599	9	,	,	PUNCT
fumecheng-10736	599	10	atomistic	atomistic	ADJ
fumecheng-10736	599	11	calculations	calculation	NOUN
fumecheng-10736	599	12	of	of	ADP
fumecheng-10736	599	13	elastic	elastic	ADJ
fumecheng-10736	599	14	properties	property	NOUN
fumecheng-10736	599	15	of	of	ADP
fumecheng-10736	599	16	metallic	metallic	ADJ
fumecheng-10736	599	17	fcc	fcc	PROPN
fumecheng-10736	599	18	crystal	crystal	NOUN
fumecheng-10736	599	19	surfaces	surface	NOUN
fumecheng-10736	599	20	,	,	PUNCT
fumecheng-10736	599	21	physical	physical	ADJ
fumecheng-10736	599	22	review	review	NOUN
fumecheng-10736	599	23	b	b	PROPN
fumecheng-10736	599	24	,	,	PUNCT
fumecheng-10736	599	25	71	71	NUM
fumecheng-10736	599	26	,	,	PUNCT
fumecheng-10736	599	27	094104	094104	NUM
fumecheng-10736	599	28	.	.	PUNCT
fumecheng-10736	600	1	16	16	NUM
fumecheng-10736	600	2	.	.	PUNCT
fumecheng-10736	601	1	wang	wang	PROPN
fumecheng-10736	601	2	,	,	PUNCT
fumecheng-10736	601	3	s.	s.	PROPN
fumecheng-10736	601	4	,	,	PUNCT
fumecheng-10736	601	5	yao	yao	PROPN
fumecheng-10736	601	6	,	,	PUNCT
fumecheng-10736	601	7	y.	y.	PROPN
fumecheng-10736	601	8	,	,	PUNCT
fumecheng-10736	601	9	zhang	zhang	PROPN
fumecheng-10736	601	10	,	,	PUNCT
fumecheng-10736	601	11	b.	b.	PROPN
fumecheng-10736	601	12	,	,	PUNCT
fumecheng-10736	601	13	2021	2021	NUM
fumecheng-10736	601	14	,	,	PUNCT
fumecheng-10736	601	15	atomistic	atomistic	ADJ
fumecheng-10736	601	16	simulations	simulation	NOUN
fumecheng-10736	601	17	of	of	ADP
fumecheng-10736	601	18	the	the	DET
fumecheng-10736	601	19	graded	grade	VERB
fumecheng-10736	601	20	residual	residual	ADJ
fumecheng-10736	601	21	elastic	elastic	ADJ
fumecheng-10736	601	22	fields	field	NOUN
fumecheng-10736	601	23	in	in	ADP
fumecheng-10736	601	24	metallic	metallic	ADJ
fumecheng-10736	601	25	nanowires	nanowire	NOUN
fumecheng-10736	601	26	,	,	PUNCT
fumecheng-10736	601	27	results	result	NOUN
fumecheng-10736	601	28	in	in	ADP
fumecheng-10736	601	29	physics	physics	NOUN
fumecheng-10736	601	30	,	,	PUNCT
fumecheng-10736	601	31	25	25	NUM
fumecheng-10736	601	32	,	,	PUNCT
fumecheng-10736	601	33	104272	104272	NUM
fumecheng-10736	601	34	.	.	PUNCT
fumecheng-10736	602	1	17	17	NUM
fumecheng-10736	602	2	.	.	X
fumecheng-10736	603	1	zhang	zhang	PROPN
fumecheng-10736	603	2	,	,	PUNCT
fumecheng-10736	603	3	y.	y.	PROPN
fumecheng-10736	603	4	,	,	PUNCT
fumecheng-10736	603	5	cao	cao	PROPN
fumecheng-10736	603	6	,	,	PUNCT
fumecheng-10736	603	7	p.	p.	PROPN
fumecheng-10736	603	8	,	,	PUNCT
fumecheng-10736	603	9	deng	deng	PROPN
fumecheng-10736	603	10	,	,	PUNCT
fumecheng-10736	603	11	b.	b.	PROPN
fumecheng-10736	603	12	,	,	PUNCT
fumecheng-10736	603	13	huang	huang	PROPN
fumecheng-10736	603	14	,	,	PUNCT
fumecheng-10736	603	15	l.	l.	PROPN
fumecheng-10736	603	16	,	,	PUNCT
fumecheng-10736	603	17	shi	shi	PROPN
fumecheng-10736	603	18	,	,	PUNCT
fumecheng-10736	603	19	y.	y.	NOUN
fumecheng-10736	603	20	,	,	PUNCT
fumecheng-10736	603	21	2021	2021	NUM
fumecheng-10736	603	22	,	,	PUNCT
fumecheng-10736	603	23	strain	strain	VERB
fumecheng-10736	603	24	rate	rate	NOUN
fumecheng-10736	603	25	-	-	PUNCT
fumecheng-10736	603	26	dependent	dependent	ADJ
fumecheng-10736	603	27	tensile	tensile	NOUN
fumecheng-10736	603	28	response	response	NOUN
fumecheng-10736	603	29	of	of	ADP
fumecheng-10736	603	30	glassy	glassy	NOUN
fumecheng-10736	603	31	silicon	silicon	NOUN
fumecheng-10736	603	32	nanowires	nanowire	NOUN
fumecheng-10736	603	33	studied	study	VERB
fumecheng-10736	603	34	by	by	ADP
fumecheng-10736	603	35	accelerated	accelerate	VERB
fumecheng-10736	603	36	atomistic	atomistic	ADJ
fumecheng-10736	603	37	simulations	simulation	NOUN
fumecheng-10736	603	38	,	,	PUNCT
fumecheng-10736	603	39	aip	aip	PROPN
fumecheng-10736	603	40	journal	journal	PROPN
fumecheng-10736	603	41	of	of	ADP
fumecheng-10736	603	42	applied	applied	ADJ
fumecheng-10736	603	43	physics	physic	NOUN
fumecheng-10736	603	44	,	,	PUNCT
fumecheng-10736	603	45	130(8	130(8	NUM
fumecheng-10736	603	46	)	)	PUNCT
fumecheng-10736	603	47	,	,	PUNCT
fumecheng-10736	603	48	085105	085105	NUM
fumecheng-10736	603	49	.	.	PUNCT
fumecheng-10736	604	1	18	18	NUM
fumecheng-10736	604	2	.	.	X
fumecheng-10736	604	3	demir	demir	PROPN
fumecheng-10736	604	4	,	,	PUNCT
fumecheng-10736	604	5	c.	c.	PROPN
fumecheng-10736	604	6	,	,	PUNCT
fumecheng-10736	604	7	mercan	mercan	NOUN
fumecheng-10736	604	8	,	,	PUNCT
fumecheng-10736	604	9	k.	k.	PROPN
fumecheng-10736	604	10	,	,	PUNCT
fumecheng-10736	604	11	numanoglu	numanoglu	PROPN
fumecheng-10736	604	12	,	,	PUNCT
fumecheng-10736	604	13	h.m	h.m	PROPN
fumecheng-10736	604	14	.	.	PROPN
fumecheng-10736	604	15	,	,	PUNCT
fumecheng-10736	604	16	civalek	civalek	VERB
fumecheng-10736	604	17	,	,	PUNCT
fumecheng-10736	604	18	o.	o.	NOUN
fumecheng-10736	604	19	,	,	PUNCT
fumecheng-10736	604	20	2018	2018	NUM
fumecheng-10736	604	21	,	,	PUNCT
fumecheng-10736	604	22	bending	bend	VERB
fumecheng-10736	604	23	response	response	NOUN
fumecheng-10736	604	24	of	of	ADP
fumecheng-10736	604	25	nanobeams	nanobeam	NOUN
fumecheng-10736	604	26	resting	rest	VERB
fumecheng-10736	604	27	on	on	ADP
fumecheng-10736	604	28	elastic	elastic	ADJ
fumecheng-10736	604	29	foundation	foundation	NOUN
fumecheng-10736	604	30	,	,	PUNCT
fumecheng-10736	604	31	journal	journal	NOUN
fumecheng-10736	604	32	of	of	ADP
fumecheng-10736	604	33	applied	applied	ADJ
fumecheng-10736	604	34	and	and	CCONJ
fumecheng-10736	604	35	computational	computational	ADJ
fumecheng-10736	604	36	mechanics	mechanic	NOUN
fumecheng-10736	604	37	,	,	PUNCT
fumecheng-10736	604	38	4(2	4(2	NUM
fumecheng-10736	604	39	)	)	PUNCT
fumecheng-10736	604	40	,	,	PUNCT
fumecheng-10736	604	41	pp	pp	ADP
fumecheng-10736	604	42	.	.	PUNCT
fumecheng-10736	605	1	105	105	NUM
fumecheng-10736	605	2	-	-	SYM
fumecheng-10736	605	3	114	114	NUM
fumecheng-10736	605	4	.	.	PUNCT
fumecheng-10736	606	1	19	19	NUM
fumecheng-10736	606	2	.	.	X
fumecheng-10736	606	3	sedighi	sedighi	PROPN
fumecheng-10736	606	4	,	,	PUNCT
fumecheng-10736	606	5	h.m	h.m	PROPN
fumecheng-10736	606	6	.	.	PROPN
fumecheng-10736	606	7	,	,	PUNCT
fumecheng-10736	606	8	2020	2020	NUM
fumecheng-10736	606	9	,	,	PUNCT
fumecheng-10736	606	10	divergence	divergence	NOUN
fumecheng-10736	606	11	and	and	CCONJ
fumecheng-10736	606	12	flutter	flutter	NOUN
fumecheng-10736	606	13	instability	instability	NOUN
fumecheng-10736	606	14	of	of	ADP
fumecheng-10736	606	15	magneto	magneto	NOUN
fumecheng-10736	606	16	-	-	PUNCT
fumecheng-10736	606	17	thermo	thermo	NOUN
fumecheng-10736	606	18	-	-	PUNCT
fumecheng-10736	606	19	elastic	elastic	ADJ
fumecheng-10736	606	20	c	c	NOUN
fumecheng-10736	606	21	-	-	PUNCT
fumecheng-10736	606	22	bn	bn	NOUN
fumecheng-10736	606	23	hetero	hetero	NOUN
fumecheng-10736	606	24	-	-	PUNCT
fumecheng-10736	606	25	nanotubes	nanotube	NOUN
fumecheng-10736	606	26	conveying	convey	VERB
fumecheng-10736	606	27	fluid	fluid	NOUN
fumecheng-10736	606	28	,	,	PUNCT
fumecheng-10736	606	29	acta	acta	PROPN
fumecheng-10736	606	30	mechanica	mechanica	PROPN
fumecheng-10736	606	31	sinica	sinica	PROPN
fumecheng-10736	606	32	,	,	PUNCT
fumecheng-10736	606	33	36	36	NUM
fumecheng-10736	606	34	,	,	PUNCT
fumecheng-10736	606	35	pp	pp	ADJ
fumecheng-10736	606	36	.	.	PUNCT
fumecheng-10736	607	1	381	381	NUM
fumecheng-10736	607	2	-	-	SYM
fumecheng-10736	607	3	396	396	NUM
fumecheng-10736	607	4	.	.	PUNCT
fumecheng-10736	608	1	20	20	NUM
fumecheng-10736	608	2	.	.	PUNCT
fumecheng-10736	608	3	malikan	malikan	PROPN
fumecheng-10736	608	4	,	,	PUNCT
fumecheng-10736	608	5	m.	m.	NOUN
fumecheng-10736	608	6	,	,	PUNCT
fumecheng-10736	608	7	eremeyev	eremeyev	PROPN
fumecheng-10736	608	8	,	,	PUNCT
fumecheng-10736	608	9	v.a	v.a	PROPN
fumecheng-10736	608	10	.	.	PROPN
fumecheng-10736	608	11	,	,	PUNCT
fumecheng-10736	608	12	sedighi	sedighi	PROPN
fumecheng-10736	608	13	,	,	PUNCT
fumecheng-10736	608	14	h.m	h.m	PROPN
fumecheng-10736	608	15	.	.	PROPN
fumecheng-10736	608	16	,	,	PUNCT
fumecheng-10736	608	17	2020	2020	NUM
fumecheng-10736	608	18	,	,	PUNCT
fumecheng-10736	608	19	buckling	buckle	VERB
fumecheng-10736	608	20	analysis	analysis	NOUN
fumecheng-10736	608	21	of	of	ADP
fumecheng-10736	608	22	a	a	DET
fumecheng-10736	608	23	non	non	ADJ
fumecheng-10736	608	24	-	-	ADJ
fumecheng-10736	608	25	concentric	concentric	ADJ
fumecheng-10736	608	26	double	double	ADJ
fumecheng-10736	608	27	-	-	PUNCT
fumecheng-10736	608	28	walled	walled	ADJ
fumecheng-10736	608	29	carbon	carbon	NOUN
fumecheng-10736	608	30	nanotube	nanotube	NOUN
fumecheng-10736	608	31	,	,	PUNCT
fumecheng-10736	608	32	acta	acta	PROPN
fumecheng-10736	608	33	mechanica	mechanica	PROPN
fumecheng-10736	608	34	,	,	PUNCT
fumecheng-10736	608	35	231	231	NUM
fumecheng-10736	608	36	,	,	PUNCT
fumecheng-10736	608	37	pp	pp	ADJ
fumecheng-10736	608	38	.	.	PUNCT
fumecheng-10736	609	1	5007	5007	NUM
fumecheng-10736	609	2	-	-	SYM
fumecheng-10736	609	3	5020	5020	NUM
fumecheng-10736	609	4	.	.	PUNCT
fumecheng-10736	610	1	21	21	NUM
fumecheng-10736	610	2	.	.	X
fumecheng-10736	610	3	pereira	pereira	PROPN
fumecheng-10736	610	4	,	,	PUNCT
fumecheng-10736	610	5	r.s	r.s	PROPN
fumecheng-10736	610	6	.	.	PROPN
fumecheng-10736	610	7	,	,	PUNCT
fumecheng-10736	610	8	2001	2001	NUM
fumecheng-10736	610	9	,	,	PUNCT
fumecheng-10736	610	10	atomic	atomic	ADJ
fumecheng-10736	610	11	force	force	NOUN
fumecheng-10736	610	12	microscopy	microscopy	NOUN
fumecheng-10736	610	13	as	as	ADP
fumecheng-10736	610	14	a	a	DET
fumecheng-10736	610	15	novel	novel	ADJ
fumecheng-10736	610	16	pharmacological	pharmacological	NOUN
fumecheng-10736	610	17	tool	tool	NOUN
fumecheng-10736	610	18	,	,	PUNCT
fumecheng-10736	610	19	biochemical	biochemical	ADJ
fumecheng-10736	610	20	pharmacology	pharmacology	NOUN
fumecheng-10736	610	21	,	,	PUNCT
fumecheng-10736	610	22	62(8	62(8	NUM
fumecheng-10736	610	23	)	)	PUNCT
fumecheng-10736	610	24	,	,	PUNCT
fumecheng-10736	610	25	pp	pp	ADP
fumecheng-10736	610	26	.	.	PUNCT
fumecheng-10736	611	1	975	975	NUM
fumecheng-10736	611	2	-	-	SYM
fumecheng-10736	611	3	983	983	NUM
fumecheng-10736	611	4	.	.	PUNCT
fumecheng-10736	612	1	22	22	NUM
fumecheng-10736	612	2	.	.	PUNCT
fumecheng-10736	613	1	qi	qi	PROPN
fumecheng-10736	613	2	,	,	PUNCT
fumecheng-10736	613	3	d.	d.	PROPN
fumecheng-10736	613	4	,	,	PUNCT
fumecheng-10736	613	5	liu	liu	PROPN
fumecheng-10736	613	6	,	,	PUNCT
fumecheng-10736	613	7	z.	z.	PROPN
fumecheng-10736	613	8	,	,	PUNCT
fumecheng-10736	613	9	leow	leow	PROPN
fumecheng-10736	613	10	,	,	PUNCT
fumecheng-10736	613	11	w.r	w.r	PROPN
fumecheng-10736	613	12	.	.	PROPN
fumecheng-10736	613	13	,	,	PUNCT
fumecheng-10736	613	14	chen	chen	PROPN
fumecheng-10736	613	15	,	,	PUNCT
fumecheng-10736	613	16	x.	x.	NOUN
fumecheng-10736	613	17	,	,	PUNCT
fumecheng-10736	613	18	2017	2017	NUM
fumecheng-10736	613	19	,	,	PUNCT
fumecheng-10736	613	20	elastic	elastic	ADJ
fumecheng-10736	613	21	substrates	substrate	NOUN
fumecheng-10736	613	22	for	for	ADP
fumecheng-10736	613	23	stretchable	stretchable	ADJ
fumecheng-10736	613	24	devices	device	NOUN
fumecheng-10736	613	25	,	,	PUNCT
fumecheng-10736	613	26	mrs	mrs	PROPN
fumecheng-10736	613	27	bulletin	bulletin	PROPN
fumecheng-10736	613	28	,	,	PUNCT
fumecheng-10736	613	29	42(2	42(2	PROPN
fumecheng-10736	613	30	)	)	PUNCT
fumecheng-10736	613	31	,	,	PUNCT
fumecheng-10736	613	32	pp	pp	ADP
fumecheng-10736	613	33	.	.	PUNCT
fumecheng-10736	614	1	103	103	NUM
fumecheng-10736	614	2	-	-	SYM
fumecheng-10736	614	3	107	107	NUM
fumecheng-10736	614	4	.	.	PUNCT
fumecheng-10736	615	1	23	23	NUM
fumecheng-10736	615	2	.	.	PUNCT
fumecheng-10736	616	1	jena	jena	PROPN
fumecheng-10736	616	2	,	,	PUNCT
fumecheng-10736	616	3	s.k	s.k	PROPN
fumecheng-10736	616	4	.	.	PROPN
fumecheng-10736	616	5	,	,	PUNCT
fumecheng-10736	616	6	chakraverty	chakraverty	PROPN
fumecheng-10736	616	7	,	,	PUNCT
fumecheng-10736	616	8	s.	s.	PROPN
fumecheng-10736	616	9	,	,	PUNCT
fumecheng-10736	616	10	malikan	malikan	PROPN
fumecheng-10736	616	11	,	,	PUNCT
fumecheng-10736	616	12	m.	m.	NOUN
fumecheng-10736	616	13	,	,	PUNCT
fumecheng-10736	616	14	tornabene	tornabene	NOUN
fumecheng-10736	616	15	,	,	PUNCT
fumecheng-10736	616	16	f.	f.	PROPN
fumecheng-10736	616	17	,	,	PUNCT
fumecheng-10736	616	18	2021	2021	NUM
fumecheng-10736	616	19	,	,	PUNCT
fumecheng-10736	616	20	stability	stability	NOUN
fumecheng-10736	616	21	analysis	analysis	NOUN
fumecheng-10736	616	22	of	of	ADP
fumecheng-10736	616	23	single	single	ADJ
fumecheng-10736	616	24	-	-	PUNCT
fumecheng-10736	616	25	walled	wall	VERB
fumecheng-10736	616	26	carbon	carbon	NOUN
fumecheng-10736	616	27	nanotubes	nanotube	NOUN
fumecheng-10736	616	28	embedded	embed	VERB
fumecheng-10736	616	29	in	in	ADP
fumecheng-10736	616	30	winkler	winkler	PROPN
fumecheng-10736	616	31	foundation	foundation	PROPN
fumecheng-10736	616	32	placed	place	VERB
fumecheng-10736	616	33	in	in	ADP
fumecheng-10736	616	34	a	a	DET
fumecheng-10736	616	35	thermal	thermal	ADJ
fumecheng-10736	616	36	environment	environment	NOUN
fumecheng-10736	616	37	considering	consider	VERB
fumecheng-10736	616	38	the	the	DET
fumecheng-10736	616	39	surface	surface	NOUN
fumecheng-10736	616	40	effect	effect	NOUN
fumecheng-10736	616	41	using	use	VERB
fumecheng-10736	616	42	a	a	DET
fumecheng-10736	616	43	new	new	ADJ
fumecheng-10736	616	44	refined	refined	ADJ
fumecheng-10736	616	45	beam	beam	NOUN
fumecheng-10736	616	46	theory	theory	NOUN
fumecheng-10736	616	47	,	,	PUNCT
fumecheng-10736	616	48	mechanics	mechanic	NOUN
fumecheng-10736	616	49	based	base	VERB
fumecheng-10736	616	50	design	design	NOUN
fumecheng-10736	616	51	of	of	ADP
fumecheng-10736	616	52	structures	structure	NOUN
fumecheng-10736	616	53	and	and	CCONJ
fumecheng-10736	616	54	machines	machine	NOUN
fumecheng-10736	616	55	,	,	PUNCT
fumecheng-10736	616	56	49(4	49(4	NOUN
fumecheng-10736	616	57	)	)	PUNCT
fumecheng-10736	616	58	,	,	PUNCT
fumecheng-10736	616	59	pp	pp	ADP
fumecheng-10736	616	60	.	.	PUNCT
fumecheng-10736	617	1	581	581	NUM
fumecheng-10736	617	2	-	-	SYM
fumecheng-10736	617	3	595	595	NUM
fumecheng-10736	617	4	.	.	PUNCT
fumecheng-10736	618	1	24	24	NUM
fumecheng-10736	618	2	.	.	PUNCT
fumecheng-10736	619	1	qi	qi	PROPN
fumecheng-10736	619	2	,	,	PUNCT
fumecheng-10736	619	3	d.	d.	PROPN
fumecheng-10736	619	4	,	,	PUNCT
fumecheng-10736	619	5	zhang	zhang	PROPN
fumecheng-10736	619	6	,	,	PUNCT
fumecheng-10736	619	7	k.	k.	PROPN
fumecheng-10736	619	8	,	,	PUNCT
fumecheng-10736	619	9	tian	tian	PROPN
fumecheng-10736	619	10	,	,	PUNCT
fumecheng-10736	619	11	g.	g.	PROPN
fumecheng-10736	619	12	,	,	PUNCT
fumecheng-10736	619	13	jiang	jiang	PROPN
fumecheng-10736	619	14	,	,	PUNCT
fumecheng-10736	619	15	b.	b.	PROPN
fumecheng-10736	619	16	,	,	PUNCT
fumecheng-10736	619	17	huang	huang	PROPN
fumecheng-10736	619	18	,	,	PUNCT
fumecheng-10736	619	19	y.	y.	PROPN
fumecheng-10736	619	20	,	,	PUNCT
fumecheng-10736	619	21	2021	2021	NUM
fumecheng-10736	619	22	,	,	PUNCT
fumecheng-10736	619	23	stretchable	stretchable	ADJ
fumecheng-10736	619	24	electronics	electronic	NOUN
fumecheng-10736	619	25	based	base	VERB
fumecheng-10736	619	26	on	on	ADP
fumecheng-10736	619	27	pdms	pdms	ADJ
fumecheng-10736	619	28	substrates	substrate	NOUN
fumecheng-10736	619	29	,	,	PUNCT
fumecheng-10736	619	30	advanced	advanced	ADJ
fumecheng-10736	619	31	materials	material	NOUN
fumecheng-10736	619	32	,	,	PUNCT
fumecheng-10736	619	33	33(6	33(6	NUM
fumecheng-10736	619	34	)	)	PUNCT
fumecheng-10736	619	35	,	,	PUNCT
fumecheng-10736	619	36	2003155	2003155	NUM
fumecheng-10736	619	37	.	.	PUNCT
fumecheng-10736	620	1	25	25	NUM
fumecheng-10736	620	2	.	.	PUNCT
fumecheng-10736	621	1	eringen	eringen	PROPN
fumecheng-10736	621	2	,	,	PUNCT
fumecheng-10736	621	3	a.c	a.c	PROPN
fumecheng-10736	621	4	.	.	PROPN
fumecheng-10736	621	5	,	,	PUNCT
fumecheng-10736	621	6	1972	1972	NUM
fumecheng-10736	621	7	,	,	PUNCT
fumecheng-10736	621	8	nonlocal	nonlocal	ADJ
fumecheng-10736	621	9	polar	polar	ADJ
fumecheng-10736	621	10	elastic	elastic	ADJ
fumecheng-10736	621	11	continua	continuum	NOUN
fumecheng-10736	621	12	,	,	PUNCT
fumecheng-10736	621	13	international	international	ADJ
fumecheng-10736	621	14	journal	journal	NOUN
fumecheng-10736	621	15	of	of	ADP
fumecheng-10736	621	16	engineering	engineering	NOUN
fumecheng-10736	621	17	science	science	NOUN
fumecheng-10736	621	18	,	,	PUNCT
fumecheng-10736	621	19	10(1	10(1	NUM
fumecheng-10736	621	20	)	)	PUNCT
fumecheng-10736	621	21	,	,	PUNCT
fumecheng-10736	621	22	pp	pp	PROPN
fumecheng-10736	621	23	.	.	PUNCT
fumecheng-10736	622	1	1	1	NUM
fumecheng-10736	622	2	-	-	SYM
fumecheng-10736	622	3	16	16	NUM
fumecheng-10736	622	4	.	.	PUNCT
fumecheng-10736	623	1	26	26	NUM
fumecheng-10736	623	2	.	.	PUNCT
fumecheng-10736	624	1	eringen	eringen	PROPN
fumecheng-10736	624	2	,	,	PUNCT
fumecheng-10736	624	3	a.c	a.c	PROPN
fumecheng-10736	624	4	.	.	PROPN
fumecheng-10736	624	5	,	,	PUNCT
fumecheng-10736	624	6	1983	1983	NUM
fumecheng-10736	624	7	,	,	PUNCT
fumecheng-10736	624	8	on	on	ADP
fumecheng-10736	624	9	differential	differential	ADJ
fumecheng-10736	624	10	equations	equation	NOUN
fumecheng-10736	624	11	of	of	ADP
fumecheng-10736	624	12	nonlocal	nonlocal	ADJ
fumecheng-10736	624	13	elasticity	elasticity	NOUN
fumecheng-10736	624	14	and	and	CCONJ
fumecheng-10736	624	15	solutions	solution	NOUN
fumecheng-10736	624	16	of	of	ADP
fumecheng-10736	624	17	screw	screw	ADJ
fumecheng-10736	624	18	dislocation	dislocation	NOUN
fumecheng-10736	624	19	and	and	CCONJ
fumecheng-10736	624	20	surface	surface	NOUN
fumecheng-10736	624	21	waves	wave	NOUN
fumecheng-10736	624	22	,	,	PUNCT
fumecheng-10736	624	23	aip	aip	PROPN
fumecheng-10736	624	24	journal	journal	PROPN
fumecheng-10736	624	25	of	of	ADP
fumecheng-10736	624	26	applied	applied	ADJ
fumecheng-10736	624	27	physics	physic	NOUN
fumecheng-10736	624	28	,	,	PUNCT
fumecheng-10736	624	29	54	54	NUM
fumecheng-10736	624	30	,	,	PUNCT
fumecheng-10736	624	31	pp	pp	ADJ
fumecheng-10736	624	32	.	.	PUNCT
fumecheng-10736	624	33	4703	4703	NUM
fumecheng-10736	624	34	-	-	SYM
fumecheng-10736	624	35	4710	4710	NUM
fumecheng-10736	624	36	.	.	PUNCT
fumecheng-10736	625	1	27	27	NUM
fumecheng-10736	625	2	.	.	PUNCT
fumecheng-10736	626	1	mindlin	mindlin	PROPN
fumecheng-10736	626	2	,	,	PUNCT
fumecheng-10736	626	3	r.d	r.d	PROPN
fumecheng-10736	626	4	.	.	PROPN
fumecheng-10736	626	5	,	,	PUNCT
fumecheng-10736	626	6	1964	1964	NUM
fumecheng-10736	626	7	,	,	PUNCT
fumecheng-10736	626	8	micro	micro	NOUN
fumecheng-10736	626	9	-	-	NOUN
fumecheng-10736	626	10	structure	structure	NOUN
fumecheng-10736	626	11	in	in	ADP
fumecheng-10736	626	12	linear	linear	PROPN
fumecheng-10736	626	13	elasticity	elasticity	NOUN
fumecheng-10736	626	14	,	,	PUNCT
fumecheng-10736	626	15	archive	archive	NOUN
fumecheng-10736	626	16	for	for	ADP
fumecheng-10736	626	17	rational	rational	ADJ
fumecheng-10736	626	18	mechanics	mechanic	NOUN
fumecheng-10736	626	19	and	and	CCONJ
fumecheng-10736	626	20	analysis	analysis	NOUN
fumecheng-10736	626	21	,	,	PUNCT
fumecheng-10736	626	22	16	16	NUM
fumecheng-10736	626	23	,	,	PUNCT
fumecheng-10736	626	24	pp	pp	ADJ
fumecheng-10736	626	25	.	.	PUNCT
fumecheng-10736	627	1	51	51	NUM
fumecheng-10736	627	2	-	-	SYM
fumecheng-10736	627	3	78	78	NUM
fumecheng-10736	627	4	.	.	PUNCT
fumecheng-10736	628	1	28	28	NUM
fumecheng-10736	628	2	.	.	PUNCT
fumecheng-10736	629	1	mindlin	mindlin	PROPN
fumecheng-10736	629	2	,	,	PUNCT
fumecheng-10736	629	3	r.d	r.d	PROPN
fumecheng-10736	629	4	.	.	PROPN
fumecheng-10736	629	5	,	,	PUNCT
fumecheng-10736	629	6	1965	1965	NUM
fumecheng-10736	629	7	,	,	PUNCT
fumecheng-10736	629	8	on	on	ADP
fumecheng-10736	629	9	the	the	DET
fumecheng-10736	629	10	equations	equation	NOUN
fumecheng-10736	629	11	of	of	ADP
fumecheng-10736	629	12	elastic	elastic	ADJ
fumecheng-10736	629	13	materials	material	NOUN
fumecheng-10736	629	14	with	with	ADP
fumecheng-10736	629	15	micro	micro	NOUN
fumecheng-10736	629	16	-	-	NOUN
fumecheng-10736	629	17	structure	structure	NOUN
fumecheng-10736	629	18	,	,	PUNCT
fumecheng-10736	629	19	international	international	ADJ
fumecheng-10736	629	20	journal	journal	NOUN
fumecheng-10736	629	21	of	of	ADP
fumecheng-10736	629	22	solids	solid	NOUN
fumecheng-10736	629	23	and	and	CCONJ
fumecheng-10736	629	24	structures	structure	NOUN
fumecheng-10736	629	25	,	,	PUNCT
fumecheng-10736	629	26	1(1	1(1	NUM
fumecheng-10736	629	27	)	)	PUNCT
fumecheng-10736	629	28	,	,	PUNCT
fumecheng-10736	629	29	pp	pp	ADJ
fumecheng-10736	629	30	.	.	PUNCT
fumecheng-10736	630	1	73	73	NUM
fumecheng-10736	630	2	-	-	SYM
fumecheng-10736	630	3	78	78	NUM
fumecheng-10736	630	4	.	.	PUNCT
fumecheng-10736	631	1	29	29	NUM
fumecheng-10736	631	2	.	.	X
fumecheng-10736	632	1	yang	yang	PROPN
fumecheng-10736	632	2	,	,	PUNCT
fumecheng-10736	632	3	f.	f.	PROPN
fumecheng-10736	632	4	,	,	PUNCT
fumecheng-10736	632	5	chong	chong	PROPN
fumecheng-10736	632	6	,	,	PUNCT
fumecheng-10736	632	7	a.c.m	a.c.m	PROPN
fumecheng-10736	632	8	.	.	PROPN
fumecheng-10736	632	9	,	,	PUNCT
fumecheng-10736	632	10	lam	lam	PROPN
fumecheng-10736	632	11	,	,	PUNCT
fumecheng-10736	632	12	d.c.c	d.c.c	PROPN
fumecheng-10736	632	13	.	.	PROPN
fumecheng-10736	632	14	,	,	PUNCT
fumecheng-10736	632	15	tong	tong	PROPN
fumecheng-10736	632	16	,	,	PUNCT
fumecheng-10736	632	17	p.	p.	PROPN
fumecheng-10736	632	18	,	,	PUNCT
fumecheng-10736	632	19	2002	2002	NUM
fumecheng-10736	632	20	,	,	PUNCT
fumecheng-10736	632	21	couple	couple	NOUN
fumecheng-10736	632	22	stress	stress	NOUN
fumecheng-10736	632	23	based	base	VERB
fumecheng-10736	632	24	strain	strain	NOUN
fumecheng-10736	632	25	gradient	gradient	NOUN
fumecheng-10736	632	26	theory	theory	NOUN
fumecheng-10736	632	27	for	for	ADP
fumecheng-10736	632	28	elasticity	elasticity	NOUN
fumecheng-10736	632	29	,	,	PUNCT
fumecheng-10736	632	30	international	international	ADJ
fumecheng-10736	632	31	journal	journal	NOUN
fumecheng-10736	632	32	of	of	ADP
fumecheng-10736	632	33	solids	solid	NOUN
fumecheng-10736	632	34	and	and	CCONJ
fumecheng-10736	632	35	structures	structure	NOUN
fumecheng-10736	632	36	,	,	PUNCT
fumecheng-10736	632	37	39(10	39(10	NUM
fumecheng-10736	632	38	)	)	PUNCT
fumecheng-10736	632	39	,	,	PUNCT
fumecheng-10736	632	40	pp	pp	ADJ
fumecheng-10736	632	41	.	.	PUNCT
fumecheng-10736	633	1	2731	2731	NUM
fumecheng-10736	633	2	-	-	SYM
fumecheng-10736	633	3	2743	2743	NUM
fumecheng-10736	633	4	.	.	PUNCT
fumecheng-10736	634	1	30	30	NUM
fumecheng-10736	634	2	.	.	X
fumecheng-10736	635	1	zhang	zhang	PROPN
fumecheng-10736	635	2	,	,	PUNCT
fumecheng-10736	635	3	g.y	g.y	PROPN
fumecheng-10736	635	4	.	.	PROPN
fumecheng-10736	635	5	,	,	PUNCT
fumecheng-10736	635	6	gao	gao	PROPN
fumecheng-10736	635	7	,	,	PUNCT
fumecheng-10736	635	8	x.-l	x.-l	PROPN
fumecheng-10736	635	9	.	.	PUNCT
fumecheng-10736	635	10	,	,	PUNCT
fumecheng-10736	635	11	2020	2020	NUM
fumecheng-10736	635	12	,	,	PUNCT
fumecheng-10736	635	13	a	a	DET
fumecheng-10736	635	14	new	new	ADJ
fumecheng-10736	635	15	bernoulli	bernoulli	PROPN
fumecheng-10736	635	16	–	–	PUNCT
fumecheng-10736	635	17	euler	euler	NOUN
fumecheng-10736	635	18	beam	beam	PROPN
fumecheng-10736	635	19	model	model	NOUN
fumecheng-10736	635	20	based	base	VERB
fumecheng-10736	635	21	on	on	ADP
fumecheng-10736	635	22	a	a	DET
fumecheng-10736	635	23	reformulated	reformulate	VERB
fumecheng-10736	635	24	strain	strain	NOUN
fumecheng-10736	635	25	gradient	gradient	NOUN
fumecheng-10736	635	26	elasticity	elasticity	NOUN
fumecheng-10736	635	27	theory	theory	NOUN
fumecheng-10736	635	28	,	,	PUNCT
fumecheng-10736	635	29	mathematics	mathematic	NOUN
fumecheng-10736	635	30	and	and	CCONJ
fumecheng-10736	635	31	mechanics	mechanic	NOUN
fumecheng-10736	635	32	of	of	ADP
fumecheng-10736	635	33	solids	solid	NOUN
fumecheng-10736	635	34	,	,	PUNCT
fumecheng-10736	635	35	25(3	25(3	NUM
fumecheng-10736	635	36	)	)	PUNCT
fumecheng-10736	635	37	,	,	PUNCT
fumecheng-10736	635	38	pp	pp	ADP
fumecheng-10736	635	39	.	.	PUNCT
fumecheng-10736	636	1	630	630	NUM
fumecheng-10736	636	2	-	-	SYM
fumecheng-10736	636	3	643	643	NUM
fumecheng-10736	636	4	.	.	PUNCT
fumecheng-10736	637	1	31	31	NUM
fumecheng-10736	637	2	.	.	PUNCT
fumecheng-10736	638	1	cammarata	cammarata	PROPN
fumecheng-10736	638	2	,	,	PUNCT
fumecheng-10736	638	3	r.c	r.c	PROPN
fumecheng-10736	638	4	.	.	PROPN
fumecheng-10736	638	5	,	,	PUNCT
fumecheng-10736	638	6	1994	1994	NUM
fumecheng-10736	638	7	,	,	PUNCT
fumecheng-10736	638	8	surface	surface	NOUN
fumecheng-10736	638	9	and	and	CCONJ
fumecheng-10736	638	10	interface	interface	NOUN
fumecheng-10736	638	11	stress	stress	NOUN
fumecheng-10736	638	12	effects	effect	NOUN
fumecheng-10736	638	13	in	in	ADP
fumecheng-10736	638	14	thin	thin	ADJ
fumecheng-10736	638	15	films	film	NOUN
fumecheng-10736	638	16	,	,	PUNCT
fumecheng-10736	638	17	progress	progress	NOUN
fumecheng-10736	638	18	in	in	ADP
fumecheng-10736	638	19	surface	surface	NOUN
fumecheng-10736	638	20	science	science	NOUN
fumecheng-10736	638	21	,	,	PUNCT
fumecheng-10736	638	22	46(1	46(1	PROPN
fumecheng-10736	638	23	)	)	PUNCT
fumecheng-10736	638	24	,	,	PUNCT
fumecheng-10736	638	25	pp	pp	PROPN
fumecheng-10736	638	26	.	.	PUNCT
fumecheng-10736	639	1	1	1	NUM
fumecheng-10736	639	2	-	-	SYM
fumecheng-10736	639	3	38	38	NUM
fumecheng-10736	639	4	.	.	PUNCT
fumecheng-10736	640	1	32	32	NUM
fumecheng-10736	640	2	.	.	PUNCT
fumecheng-10736	641	1	gurtin	gurtin	NOUN
fumecheng-10736	641	2	,	,	PUNCT
fumecheng-10736	641	3	m.e	m.e	PROPN
fumecheng-10736	641	4	.	.	PROPN
fumecheng-10736	641	5	,	,	PUNCT
fumecheng-10736	641	6	murdoch	murdoch	PROPN
fumecheng-10736	641	7	,	,	PUNCT
fumecheng-10736	641	8	a.i	a.i	PROPN
fumecheng-10736	641	9	.	.	PROPN
fumecheng-10736	641	10	,	,	PUNCT
fumecheng-10736	641	11	1975	1975	NUM
fumecheng-10736	641	12	,	,	PUNCT
fumecheng-10736	641	13	a	a	DET
fumecheng-10736	641	14	continuum	continuum	ADJ
fumecheng-10736	641	15	theory	theory	NOUN
fumecheng-10736	641	16	of	of	ADP
fumecheng-10736	641	17	elastic	elastic	ADJ
fumecheng-10736	641	18	material	material	NOUN
fumecheng-10736	641	19	surface	surface	NOUN
fumecheng-10736	641	20	,	,	PUNCT
fumecheng-10736	641	21	archive	archive	NOUN
fumecheng-10736	641	22	for	for	ADP
fumecheng-10736	641	23	rational	rational	ADJ
fumecheng-10736	641	24	mechanics	mechanic	NOUN
fumecheng-10736	641	25	and	and	CCONJ
fumecheng-10736	641	26	analysis	analysis	NOUN
fumecheng-10736	641	27	,	,	PUNCT
fumecheng-10736	641	28	57	57	NUM
fumecheng-10736	641	29	,	,	PUNCT
fumecheng-10736	641	30	pp	pp	ADJ
fumecheng-10736	641	31	.	.	PUNCT
fumecheng-10736	641	32	291	291	NUM
fumecheng-10736	641	33	-	-	SYM
fumecheng-10736	641	34	323	323	NUM
fumecheng-10736	641	35	.	.	PUNCT
fumecheng-10736	642	1	33	33	NUM
fumecheng-10736	642	2	.	.	PUNCT
fumecheng-10736	643	1	gurtin	gurtin	PROPN
fumecheng-10736	643	2	,	,	PUNCT
fumecheng-10736	643	3	m.e	m.e	PROPN
fumecheng-10736	643	4	.	.	PROPN
fumecheng-10736	643	5	,	,	PUNCT
fumecheng-10736	643	6	murdoch	murdoch	PROPN
fumecheng-10736	643	7	,	,	PUNCT
fumecheng-10736	643	8	a.i	a.i	PROPN
fumecheng-10736	643	9	.	.	PROPN
fumecheng-10736	643	10	,	,	PUNCT
fumecheng-10736	643	11	1978	1978	NUM
fumecheng-10736	643	12	,	,	PUNCT
fumecheng-10736	643	13	surface	surface	NOUN
fumecheng-10736	643	14	stress	stress	NOUN
fumecheng-10736	643	15	in	in	ADP
fumecheng-10736	643	16	solids	solid	NOUN
fumecheng-10736	643	17	,	,	PUNCT
fumecheng-10736	643	18	international	international	ADJ
fumecheng-10736	643	19	journal	journal	NOUN
fumecheng-10736	643	20	of	of	ADP
fumecheng-10736	643	21	solids	solid	NOUN
fumecheng-10736	643	22	and	and	CCONJ
fumecheng-10736	643	23	structures	structure	NOUN
fumecheng-10736	643	24	,	,	PUNCT
fumecheng-10736	643	25	14(6	14(6	NOUN
fumecheng-10736	643	26	)	)	PUNCT
fumecheng-10736	643	27	,	,	PUNCT
fumecheng-10736	643	28	pp	pp	ADP
fumecheng-10736	643	29	.	.	PUNCT
fumecheng-10736	644	1	431	431	NUM
fumecheng-10736	644	2	-	-	SYM
fumecheng-10736	644	3	440	440	NUM
fumecheng-10736	644	4	.	.	PUNCT
fumecheng-10736	645	1	34	34	NUM
fumecheng-10736	645	2	.	.	X
fumecheng-10736	645	3	peddieson	peddieson	PROPN
fumecheng-10736	645	4	,	,	PUNCT
fumecheng-10736	645	5	j.	j.	PROPN
fumecheng-10736	645	6	,	,	PUNCT
fumecheng-10736	645	7	buchanan	buchanan	PROPN
fumecheng-10736	645	8	,	,	PUNCT
fumecheng-10736	645	9	g.r	g.r	PROPN
fumecheng-10736	645	10	.	.	PROPN
fumecheng-10736	645	11	,	,	PUNCT
fumecheng-10736	645	12	mcnitt	mcnitt	PROPN
fumecheng-10736	645	13	,	,	PUNCT
fumecheng-10736	645	14	r.p	r.p	PROPN
fumecheng-10736	645	15	.	.	PROPN
fumecheng-10736	645	16	,	,	PUNCT
fumecheng-10736	645	17	2003	2003	NUM
fumecheng-10736	645	18	,	,	PUNCT
fumecheng-10736	645	19	application	application	NOUN
fumecheng-10736	645	20	of	of	ADP
fumecheng-10736	645	21	nonlocal	nonlocal	ADJ
fumecheng-10736	645	22	continuum	continuum	ADJ
fumecheng-10736	645	23	models	model	NOUN
fumecheng-10736	645	24	to	to	ADP
fumecheng-10736	645	25	nanotechnology	nanotechnology	NOUN
fumecheng-10736	645	26	,	,	PUNCT
fumecheng-10736	645	27	international	international	ADJ
fumecheng-10736	645	28	journal	journal	NOUN
fumecheng-10736	645	29	of	of	ADP
fumecheng-10736	645	30	engineering	engineering	NOUN
fumecheng-10736	645	31	science	science	NOUN
fumecheng-10736	645	32	,	,	PUNCT
fumecheng-10736	645	33	41(3	41(3	NOUN
fumecheng-10736	645	34	-	-	PUNCT
fumecheng-10736	645	35	5	5	NUM
fumecheng-10736	645	36	)	)	PUNCT
fumecheng-10736	645	37	,	,	PUNCT
fumecheng-10736	645	38	pp	pp	ADJ
fumecheng-10736	645	39	.	.	PUNCT
fumecheng-10736	646	1	305	305	NUM
fumecheng-10736	646	2	-	-	SYM
fumecheng-10736	646	3	312	312	NUM
fumecheng-10736	646	4	.	.	NOUN
fumecheng-10736	646	5	35	35	NUM
fumecheng-10736	646	6	.	.	PUNCT
fumecheng-10736	647	1	challamel	challamel	VERB
fumecheng-10736	647	2	,	,	PUNCT
fumecheng-10736	647	3	n.	n.	PROPN
fumecheng-10736	647	4	,	,	PUNCT
fumecheng-10736	647	5	wang	wang	PROPN
fumecheng-10736	647	6	,	,	PUNCT
fumecheng-10736	647	7	c.m	c.m	PROPN
fumecheng-10736	647	8	.	.	PROPN
fumecheng-10736	647	9	,	,	PUNCT
fumecheng-10736	647	10	2008	2008	NUM
fumecheng-10736	647	11	,	,	PUNCT
fumecheng-10736	647	12	the	the	DET
fumecheng-10736	647	13	small	small	ADJ
fumecheng-10736	647	14	length	length	NOUN
fumecheng-10736	647	15	scale	scale	NOUN
fumecheng-10736	647	16	effect	effect	NOUN
fumecheng-10736	647	17	for	for	ADP
fumecheng-10736	647	18	a	a	DET
fumecheng-10736	647	19	non	non	ADJ
fumecheng-10736	647	20	-	-	ADJ
fumecheng-10736	647	21	local	local	ADJ
fumecheng-10736	647	22	cantilever	cantilever	NOUN
fumecheng-10736	647	23	beam	beam	NOUN
fumecheng-10736	647	24	:	:	PUNCT
fumecheng-10736	647	25	a	a	DET
fumecheng-10736	647	26	paradox	paradox	NOUN
fumecheng-10736	647	27	solved	solve	VERB
fumecheng-10736	647	28	,	,	PUNCT
fumecheng-10736	647	29	nanotechnology	nanotechnology	NOUN
fumecheng-10736	647	30	,	,	PUNCT
fumecheng-10736	647	31	19(34	19(34	NUM
fumecheng-10736	647	32	)	)	PUNCT
fumecheng-10736	647	33	,	,	PUNCT
fumecheng-10736	647	34	345703	345703	NUM
fumecheng-10736	647	35	.	.	PUNCT
fumecheng-10736	648	1	bending	bend	VERB
fumecheng-10736	648	2	,	,	PUNCT
fumecheng-10736	648	3	buckling	buckling	NOUN
fumecheng-10736	648	4	,	,	PUNCT
fumecheng-10736	648	5	and	and	CCONJ
fumecheng-10736	648	6	free	free	ADJ
fumecheng-10736	648	7	vibration	vibration	NOUN
fumecheng-10736	648	8	analyses	analysis	NOUN
fumecheng-10736	648	9	of	of	ADP
fumecheng-10736	648	10	nanobeam	nanobeam	ADJ
fumecheng-10736	648	11	-	-	PUNCT
fumecheng-10736	648	12	substrate	substrate	NOUN
fumecheng-10736	648	13	medium	medium	NOUN
fumecheng-10736	648	14	systems	system	NOUN
fumecheng-10736	648	15	585	585	NUM
fumecheng-10736	648	16	36	36	NUM
fumecheng-10736	648	17	.	.	PUNCT
fumecheng-10736	649	1	juntarasaid	juntarasaid	PROPN
fumecheng-10736	649	2	,	,	PUNCT
fumecheng-10736	649	3	c.	c.	NOUN
fumecheng-10736	649	4	,	,	PUNCT
fumecheng-10736	649	5	pulngern	pulngern	ADJ
fumecheng-10736	649	6	,	,	PUNCT
fumecheng-10736	649	7	t.	t.	PROPN
fumecheng-10736	649	8	,	,	PUNCT
fumecheng-10736	649	9	chucheepsakul	chucheepsakul	PROPN
fumecheng-10736	649	10	,	,	PUNCT
fumecheng-10736	649	11	s.	s.	PROPN
fumecheng-10736	649	12	,	,	PUNCT
fumecheng-10736	649	13	2012	2012	NUM
fumecheng-10736	649	14	,	,	PUNCT
fumecheng-10736	649	15	bending	bend	VERB
fumecheng-10736	649	16	and	and	CCONJ
fumecheng-10736	649	17	buckling	buckling	NOUN
fumecheng-10736	649	18	of	of	ADP
fumecheng-10736	649	19	nanowires	nanowire	NOUN
fumecheng-10736	649	20	including	include	VERB
fumecheng-10736	649	21	the	the	DET
fumecheng-10736	649	22	effects	effect	NOUN
fumecheng-10736	649	23	of	of	ADP
fumecheng-10736	649	24	surface	surface	NOUN
fumecheng-10736	649	25	stress	stress	NOUN
fumecheng-10736	649	26	and	and	CCONJ
fumecheng-10736	649	27	nonlocal	nonlocal	ADJ
fumecheng-10736	649	28	elasticity	elasticity	NOUN
fumecheng-10736	649	29	,	,	PUNCT
fumecheng-10736	649	30	physica	physica	NOUN
fumecheng-10736	649	31	e	e	NOUN
fumecheng-10736	649	32	:	:	PUNCT
fumecheng-10736	649	33	low	low	ADJ
fumecheng-10736	649	34	-	-	PUNCT
fumecheng-10736	649	35	dimensional	dimensional	ADJ
fumecheng-10736	649	36	systems	system	NOUN
fumecheng-10736	649	37	and	and	CCONJ
fumecheng-10736	649	38	nanostructures	nanostructure	NOUN
fumecheng-10736	649	39	,	,	PUNCT
fumecheng-10736	649	40	46	46	NUM
fumecheng-10736	649	41	,	,	PUNCT
fumecheng-10736	649	42	pp	pp	ADJ
fumecheng-10736	649	43	.	.	PUNCT
fumecheng-10736	650	1	68	68	NUM
fumecheng-10736	650	2	-	-	SYM
fumecheng-10736	650	3	76	76	NUM
fumecheng-10736	650	4	.	.	PUNCT
fumecheng-10736	651	1	37	37	NUM
fumecheng-10736	651	2	.	.	PUNCT
fumecheng-10736	652	1	nikam	nikam	PROPN
fumecheng-10736	652	2	,	,	PUNCT
fumecheng-10736	652	3	r.d	r.d	PROPN
fumecheng-10736	652	4	.	.	PROPN
fumecheng-10736	652	5	,	,	PUNCT
fumecheng-10736	652	6	sayyad	sayyad	PROPN
fumecheng-10736	652	7	,	,	PUNCT
fumecheng-10736	652	8	a.s	a.s	PROPN
fumecheng-10736	652	9	.	.	PROPN
fumecheng-10736	652	10	,	,	PUNCT
fumecheng-10736	652	11	2020	2020	NUM
fumecheng-10736	652	12	,	,	PUNCT
fumecheng-10736	652	13	a	a	DET
fumecheng-10736	652	14	unified	unified	ADJ
fumecheng-10736	652	15	nonlocal	nonlocal	ADJ
fumecheng-10736	652	16	formulation	formulation	NOUN
fumecheng-10736	652	17	for	for	ADP
fumecheng-10736	652	18	bending	bend	VERB
fumecheng-10736	652	19	,	,	PUNCT
fumecheng-10736	652	20	buckling	buckle	VERB
fumecheng-10736	652	21	and	and	CCONJ
fumecheng-10736	652	22	free	free	ADJ
fumecheng-10736	652	23	vibration	vibration	NOUN
fumecheng-10736	652	24	analysis	analysis	NOUN
fumecheng-10736	652	25	of	of	ADP
fumecheng-10736	652	26	nanobeams	nanobeam	NOUN
fumecheng-10736	652	27	,	,	PUNCT
fumecheng-10736	652	28	mechanics	mechanic	NOUN
fumecheng-10736	652	29	of	of	ADP
fumecheng-10736	652	30	advanced	advanced	ADJ
fumecheng-10736	652	31	materials	material	NOUN
fumecheng-10736	652	32	and	and	CCONJ
fumecheng-10736	652	33	structures	structure	NOUN
fumecheng-10736	652	34	,	,	PUNCT
fumecheng-10736	652	35	27(10	27(10	NOUN
fumecheng-10736	652	36	)	)	PUNCT
fumecheng-10736	652	37	,	,	PUNCT
fumecheng-10736	652	38	pp	pp	PROPN
fumecheng-10736	652	39	.	.	PUNCT
fumecheng-10736	653	1	807	807	NUM
fumecheng-10736	653	2	-	-	SYM
fumecheng-10736	653	3	815	815	NUM
fumecheng-10736	653	4	.	.	PUNCT
fumecheng-10736	654	1	38	38	NUM
fumecheng-10736	654	2	.	.	PUNCT
fumecheng-10736	655	1	sae	sae	PROPN
fumecheng-10736	655	2	-	-	PROPN
fumecheng-10736	655	3	long	long	ADV
fumecheng-10736	655	4	,	,	PUNCT
fumecheng-10736	655	5	w.	w.	PROPN
fumecheng-10736	655	6	,	,	PUNCT
fumecheng-10736	655	7	limkatanyu	limkatanyu	PROPN
fumecheng-10736	655	8	,	,	PUNCT
fumecheng-10736	655	9	s.	s.	PROPN
fumecheng-10736	655	10	,	,	PUNCT
fumecheng-10736	655	11	rungamornrat	rungamornrat	PROPN
fumecheng-10736	655	12	,	,	PUNCT
fumecheng-10736	655	13	j.	j.	PROPN
fumecheng-10736	655	14	,	,	PUNCT
fumecheng-10736	655	15	prachasaree	prachasaree	PROPN
fumecheng-10736	655	16	,	,	PUNCT
fumecheng-10736	655	17	w.	w.	PROPN
fumecheng-10736	655	18	,	,	PUNCT
fumecheng-10736	655	19	sukontasukkul	sukontasukkul	NOUN
fumecheng-10736	655	20	,	,	PUNCT
fumecheng-10736	655	21	p.	p.	PROPN
fumecheng-10736	655	22	,	,	PUNCT
fumecheng-10736	655	23	sedighi	sedighi	PROPN
fumecheng-10736	655	24	,	,	PUNCT
fumecheng-10736	655	25	h.m	h.m	PROPN
fumecheng-10736	655	26	.	.	PROPN
fumecheng-10736	655	27	,	,	PUNCT
fumecheng-10736	655	28	2021	2021	NUM
fumecheng-10736	655	29	,	,	PUNCT
fumecheng-10736	655	30	a	a	DET
fumecheng-10736	655	31	rational	rational	ADJ
fumecheng-10736	655	32	beam	beam	NOUN
fumecheng-10736	655	33	-	-	PUNCT
fumecheng-10736	655	34	elastic	elastic	ADJ
fumecheng-10736	655	35	substrate	substrate	NOUN
fumecheng-10736	655	36	model	model	NOUN
fumecheng-10736	655	37	with	with	ADP
fumecheng-10736	655	38	incorporation	incorporation	NOUN
fumecheng-10736	655	39	of	of	ADP
fumecheng-10736	655	40	beam	beam	NOUN
fumecheng-10736	655	41	-	-	PUNCT
fumecheng-10736	655	42	bulk	bulk	NOUN
fumecheng-10736	655	43	nonlocality	nonlocality	NOUN
fumecheng-10736	655	44	and	and	CCONJ
fumecheng-10736	655	45	surface	surface	NOUN
fumecheng-10736	655	46	-	-	PUNCT
fumecheng-10736	655	47	free	free	ADJ
fumecheng-10736	655	48	energy	energy	NOUN
fumecheng-10736	655	49	,	,	PUNCT
fumecheng-10736	655	50	the	the	DET
fumecheng-10736	655	51	european	european	PROPN
fumecheng-10736	655	52	physical	physical	PROPN
fumecheng-10736	655	53	journal	journal	PROPN
fumecheng-10736	655	54	plus	plus	CCONJ
fumecheng-10736	655	55	,	,	PUNCT
fumecheng-10736	655	56	136	136	NUM
fumecheng-10736	655	57	,	,	PUNCT
fumecheng-10736	655	58	80	80	NUM
fumecheng-10736	655	59	.	.	NOUN
fumecheng-10736	655	60	39	39	NUM
fumecheng-10736	655	61	.	.	PUNCT
fumecheng-10736	656	1	barretta	barretta	NOUN
fumecheng-10736	656	2	,	,	PUNCT
fumecheng-10736	656	3	r.	r.	PROPN
fumecheng-10736	656	4	,	,	PUNCT
fumecheng-10736	656	5	faghidian	faghidian	PROPN
fumecheng-10736	656	6	,	,	PUNCT
fumecheng-10736	656	7	s.a	s.a	PROPN
fumecheng-10736	656	8	.	.	PROPN
fumecheng-10736	656	9	,	,	PUNCT
fumecheng-10736	656	10	marotti	marotti	PROPN
fumecheng-10736	656	11	de	de	X
fumecheng-10736	656	12	sciarra	sciarra	PROPN
fumecheng-10736	656	13	,	,	PUNCT
fumecheng-10736	656	14	f.	f.	PROPN
fumecheng-10736	656	15	,	,	PUNCT
fumecheng-10736	656	16	pinnola	pinnola	PROPN
fumecheng-10736	656	17	,	,	PUNCT
fumecheng-10736	656	18	f.p	f.p	PROPN
fumecheng-10736	656	19	.	.	PROPN
fumecheng-10736	656	20	,	,	PUNCT
fumecheng-10736	656	21	2021	2021	NUM
fumecheng-10736	656	22	,	,	PUNCT
fumecheng-10736	656	23	timoshenko	timoshenko	ADJ
fumecheng-10736	656	24	nonlocal	nonlocal	ADJ
fumecheng-10736	656	25	strain	strain	NOUN
fumecheng-10736	656	26	gradient	gradient	NOUN
fumecheng-10736	656	27	nanobeams	nanobeam	NOUN
fumecheng-10736	656	28	:	:	PUNCT
fumecheng-10736	656	29	variational	variational	ADJ
fumecheng-10736	656	30	consistency	consistency	NOUN
fumecheng-10736	656	31	,	,	PUNCT
fumecheng-10736	656	32	exact	exact	ADJ
fumecheng-10736	656	33	solutions	solution	NOUN
fumecheng-10736	656	34	and	and	CCONJ
fumecheng-10736	656	35	carbon	carbon	NOUN
fumecheng-10736	656	36	nanotube	nanotube	ADJ
fumecheng-10736	656	37	young	young	ADJ
fumecheng-10736	656	38	moduli	modulus	NOUN
fumecheng-10736	656	39	,	,	PUNCT
fumecheng-10736	656	40	mechanics	mechanic	NOUN
fumecheng-10736	656	41	of	of	ADP
fumecheng-10736	656	42	advanced	advanced	ADJ
fumecheng-10736	656	43	materials	material	NOUN
fumecheng-10736	656	44	and	and	CCONJ
fumecheng-10736	656	45	structures	structure	NOUN
fumecheng-10736	656	46	,	,	PUNCT
fumecheng-10736	656	47	28(15	28(15	NUM
fumecheng-10736	656	48	)	)	PUNCT
fumecheng-10736	656	49	,	,	PUNCT
fumecheng-10736	656	50	pp	pp	PROPN
fumecheng-10736	656	51	.	.	PUNCT
fumecheng-10736	657	1	1523	1523	NUM
fumecheng-10736	657	2	-	-	SYM
fumecheng-10736	657	3	1536	1536	NUM
fumecheng-10736	657	4	.	.	PUNCT
fumecheng-10736	658	1	40	40	NUM
fumecheng-10736	658	2	.	.	PUNCT
fumecheng-10736	659	1	li	li	PROPN
fumecheng-10736	659	2	,	,	PUNCT
fumecheng-10736	659	3	c.	c.	PROPN
fumecheng-10736	659	4	,	,	PUNCT
fumecheng-10736	659	5	yao	yao	PROPN
fumecheng-10736	659	6	,	,	PUNCT
fumecheng-10736	659	7	l.	l.	PROPN
fumecheng-10736	659	8	,	,	PUNCT
fumecheng-10736	659	9	chen	chen	PROPN
fumecheng-10736	659	10	,	,	PUNCT
fumecheng-10736	659	11	w.	w.	PROPN
fumecheng-10736	659	12	,	,	PUNCT
fumecheng-10736	659	13	li	li	PROPN
fumecheng-10736	659	14	,	,	PUNCT
fumecheng-10736	659	15	s.	s.	PROPN
fumecheng-10736	659	16	,	,	PUNCT
fumecheng-10736	659	17	2015	2015	NUM
fumecheng-10736	659	18	,	,	PUNCT
fumecheng-10736	659	19	comments	comment	NOUN
fumecheng-10736	659	20	on	on	ADP
fumecheng-10736	659	21	nonlocal	nonlocal	ADJ
fumecheng-10736	659	22	effects	effect	NOUN
fumecheng-10736	659	23	in	in	ADP
fumecheng-10736	659	24	nano	nano	NOUN
fumecheng-10736	659	25	-	-	PUNCT
fumecheng-10736	659	26	cantilever	cantilever	NOUN
fumecheng-10736	659	27	beams	beam	NOUN
fumecheng-10736	659	28	,	,	PUNCT
fumecheng-10736	659	29	international	international	ADJ
fumecheng-10736	659	30	journal	journal	NOUN
fumecheng-10736	659	31	of	of	ADP
fumecheng-10736	659	32	engineering	engineering	NOUN
fumecheng-10736	659	33	science	science	NOUN
fumecheng-10736	659	34	,	,	PUNCT
fumecheng-10736	659	35	87	87	NUM
fumecheng-10736	659	36	,	,	PUNCT
fumecheng-10736	659	37	pp	pp	ADJ
fumecheng-10736	659	38	.	.	PUNCT
fumecheng-10736	660	1	47	47	NUM
fumecheng-10736	660	2	-	-	SYM
fumecheng-10736	660	3	57	57	NUM
fumecheng-10736	660	4	.	.	PUNCT
fumecheng-10736	661	1	41	41	NUM
fumecheng-10736	661	2	.	.	PUNCT
fumecheng-10736	662	1	fernández	fernández	PROPN
fumecheng-10736	662	2	-	-	PUNCT
fumecheng-10736	662	3	sáez	sáez	PROPN
fumecheng-10736	662	4	,	,	PUNCT
fumecheng-10736	662	5	j.	j.	PROPN
fumecheng-10736	662	6	,	,	PUNCT
fumecheng-10736	662	7	zaera	zaera	PROPN
fumecheng-10736	662	8	,	,	PUNCT
fumecheng-10736	662	9	r.	r.	PROPN
fumecheng-10736	662	10	,	,	PUNCT
fumecheng-10736	662	11	loya	loya	PROPN
fumecheng-10736	662	12	,	,	PUNCT
fumecheng-10736	662	13	j.a	j.a	PROPN
fumecheng-10736	662	14	.	.	PROPN
fumecheng-10736	662	15	,	,	PUNCT
fumecheng-10736	662	16	reddy	reddy	PROPN
fumecheng-10736	662	17	,	,	PUNCT
fumecheng-10736	662	18	j.n	j.n	PROPN
fumecheng-10736	662	19	.	.	PROPN
fumecheng-10736	662	20	,	,	PUNCT
fumecheng-10736	662	21	2016	2016	NUM
fumecheng-10736	662	22	,	,	PUNCT
fumecheng-10736	662	23	bending	bend	VERB
fumecheng-10736	662	24	of	of	ADP
fumecheng-10736	662	25	euler	euler	NOUN
fumecheng-10736	662	26	–	–	PUNCT
fumecheng-10736	662	27	bernoulli	bernoulli	NOUN
fumecheng-10736	662	28	beams	beam	NOUN
fumecheng-10736	662	29	using	use	VERB
fumecheng-10736	662	30	eringen	eringen	PROPN
fumecheng-10736	662	31	’s	’s	PART
fumecheng-10736	662	32	integral	integral	ADJ
fumecheng-10736	662	33	formulation	formulation	NOUN
fumecheng-10736	662	34	:	:	PUNCT
fumecheng-10736	662	35	a	a	DET
fumecheng-10736	662	36	paradox	paradox	NOUN
fumecheng-10736	662	37	resolved	resolve	VERB
fumecheng-10736	662	38	,	,	PUNCT
fumecheng-10736	662	39	international	international	ADJ
fumecheng-10736	662	40	journal	journal	NOUN
fumecheng-10736	662	41	of	of	ADP
fumecheng-10736	662	42	engineering	engineering	NOUN
fumecheng-10736	662	43	science	science	NOUN
fumecheng-10736	662	44	,	,	PUNCT
fumecheng-10736	662	45	99	99	NUM
fumecheng-10736	662	46	,	,	PUNCT
fumecheng-10736	662	47	pp	pp	ADJ
fumecheng-10736	662	48	.	.	PUNCT
fumecheng-10736	663	1	107	107	NUM
fumecheng-10736	663	2	-	-	SYM
fumecheng-10736	663	3	116	116	NUM
fumecheng-10736	663	4	.	.	PUNCT
fumecheng-10736	664	1	42	42	NUM
fumecheng-10736	664	2	.	.	PUNCT
fumecheng-10736	665	1	limkatanyu	limkatanyu	PROPN
fumecheng-10736	665	2	,	,	PUNCT
fumecheng-10736	665	3	s.	s.	PROPN
fumecheng-10736	665	4	,	,	PUNCT
fumecheng-10736	665	5	sae	sae	PROPN
fumecheng-10736	665	6	-	-	PROPN
fumecheng-10736	665	7	long	long	ADV
fumecheng-10736	665	8	,	,	PUNCT
fumecheng-10736	665	9	w.	w.	PROPN
fumecheng-10736	665	10	,	,	PUNCT
fumecheng-10736	665	11	sedighi	sedighi	PROPN
fumecheng-10736	665	12	,	,	PUNCT
fumecheng-10736	665	13	h.m	h.m	PROPN
fumecheng-10736	665	14	.	.	PROPN
fumecheng-10736	665	15	,	,	PUNCT
fumecheng-10736	665	16	rungamornrat	rungamornrat	PROPN
fumecheng-10736	665	17	,	,	PUNCT
fumecheng-10736	665	18	j.	j.	PROPN
fumecheng-10736	665	19	,	,	PUNCT
fumecheng-10736	665	20	sukontasukkul	sukontasukkul	NOUN
fumecheng-10736	665	21	,	,	PUNCT
fumecheng-10736	665	22	p.	p.	PROPN
fumecheng-10736	665	23	,	,	PUNCT
fumecheng-10736	665	24	zhang	zhang	PROPN
fumecheng-10736	665	25	,	,	PUNCT
fumecheng-10736	665	26	h.	h.	PROPN
fumecheng-10736	665	27	,	,	PUNCT
fumecheng-10736	665	28	chindaprasirt	chindaprasirt	PROPN
fumecheng-10736	665	29	,	,	PUNCT
fumecheng-10736	665	30	p.	p.	NOUN
fumecheng-10736	665	31	,	,	PUNCT
fumecheng-10736	665	32	2022	2022	NUM
fumecheng-10736	665	33	,	,	PUNCT
fumecheng-10736	665	34	flexibility	flexibility	NOUN
fumecheng-10736	665	35	-	-	PUNCT
fumecheng-10736	665	36	based	base	VERB
fumecheng-10736	665	37	stress	stress	NOUN
fumecheng-10736	665	38	-	-	PUNCT
fumecheng-10736	665	39	driven	drive	VERB
fumecheng-10736	665	40	nonlocal	nonlocal	ADJ
fumecheng-10736	665	41	frame	frame	NOUN
fumecheng-10736	665	42	element	element	NOUN
fumecheng-10736	665	43	:	:	PUNCT
fumecheng-10736	665	44	formulation	formulation	NOUN
fumecheng-10736	665	45	and	and	CCONJ
fumecheng-10736	665	46	applications	application	NOUN
fumecheng-10736	665	47	,	,	PUNCT
fumecheng-10736	665	48	engineering	engineer	VERB
fumecheng-10736	665	49	with	with	ADP
fumecheng-10736	665	50	computers	computer	NOUN
fumecheng-10736	665	51	.	.	PUNCT
fumecheng-10736	666	1	43	43	NUM
fumecheng-10736	666	2	.	.	PUNCT
fumecheng-10736	667	1	romano	romano	NOUN
fumecheng-10736	667	2	,	,	PUNCT
fumecheng-10736	667	3	g.	g.	PROPN
fumecheng-10736	667	4	,	,	PUNCT
fumecheng-10736	667	5	barretta	barretta	PROPN
fumecheng-10736	667	6	,	,	PUNCT
fumecheng-10736	667	7	r.	r.	PROPN
fumecheng-10736	667	8	,	,	PUNCT
fumecheng-10736	667	9	diaco	diaco	PROPN
fumecheng-10736	667	10	,	,	PUNCT
fumecheng-10736	667	11	m.	m.	NOUN
fumecheng-10736	667	12	,	,	PUNCT
fumecheng-10736	667	13	marotti	marotti	PROPN
fumecheng-10736	667	14	de	de	X
fumecheng-10736	667	15	sciarra	sciarra	PROPN
fumecheng-10736	667	16	,	,	PUNCT
fumecheng-10736	667	17	f.	f.	PROPN
fumecheng-10736	667	18	,	,	PUNCT
fumecheng-10736	667	19	2017	2017	NUM
fumecheng-10736	667	20	,	,	PUNCT
fumecheng-10736	667	21	constitutive	constitutive	ADJ
fumecheng-10736	667	22	boundary	boundary	ADJ
fumecheng-10736	667	23	conditions	condition	NOUN
fumecheng-10736	667	24	and	and	CCONJ
fumecheng-10736	667	25	paradoxes	paradox	NOUN
fumecheng-10736	667	26	in	in	ADP
fumecheng-10736	667	27	nonlocal	nonlocal	ADJ
fumecheng-10736	667	28	elastic	elastic	ADJ
fumecheng-10736	667	29	nanobeams	nanobeam	NOUN
fumecheng-10736	667	30	,	,	PUNCT
fumecheng-10736	667	31	international	international	ADJ
fumecheng-10736	667	32	journal	journal	NOUN
fumecheng-10736	667	33	of	of	ADP
fumecheng-10736	667	34	mechanical	mechanical	ADJ
fumecheng-10736	667	35	sciences	science	NOUN
fumecheng-10736	667	36	,	,	PUNCT
fumecheng-10736	667	37	121	121	NUM
fumecheng-10736	667	38	,	,	PUNCT
fumecheng-10736	667	39	pp	pp	ADJ
fumecheng-10736	667	40	.	.	PUNCT
fumecheng-10736	668	1	151	151	NUM
fumecheng-10736	668	2	-	-	SYM
fumecheng-10736	668	3	156	156	NUM
fumecheng-10736	668	4	.	.	PUNCT
fumecheng-10736	669	1	44	44	NUM
fumecheng-10736	669	2	.	.	PUNCT
fumecheng-10736	670	1	koutsoumaris	koutsoumaris	PROPN
fumecheng-10736	670	2	,	,	PUNCT
fumecheng-10736	670	3	c.c	c.c	PROPN
fumecheng-10736	670	4	.	.	PROPN
fumecheng-10736	670	5	,	,	PUNCT
fumecheng-10736	670	6	eptaimeros	eptaimeros	PROPN
fumecheng-10736	670	7	,	,	PUNCT
fumecheng-10736	670	8	k.g	k.g	PROPN
fumecheng-10736	670	9	.	.	PROPN
fumecheng-10736	670	10	,	,	PUNCT
fumecheng-10736	670	11	zisis	zisis	NOUN
fumecheng-10736	670	12	,	,	PUNCT
fumecheng-10736	670	13	t.	t.	PROPN
fumecheng-10736	670	14	,	,	PUNCT
fumecheng-10736	670	15	tsamasphyros	tsamasphyros	PROPN
fumecheng-10736	670	16	,	,	PUNCT
fumecheng-10736	670	17	g.j	g.j	PROPN
fumecheng-10736	670	18	.	.	PROPN
fumecheng-10736	670	19	,	,	PUNCT
fumecheng-10736	670	20	2016	2016	NUM
fumecheng-10736	670	21	,	,	PUNCT
fumecheng-10736	670	22	a	a	DET
fumecheng-10736	670	23	straightforward	straightforward	ADJ
fumecheng-10736	670	24	approach	approach	NOUN
fumecheng-10736	670	25	to	to	ADP
fumecheng-10736	670	26	eringen	eringen	PROPN
fumecheng-10736	670	27	’s	’s	PART
fumecheng-10736	670	28	nonlocal	nonlocal	ADJ
fumecheng-10736	670	29	elasticity	elasticity	NOUN
fumecheng-10736	670	30	stress	stress	NOUN
fumecheng-10736	670	31	model	model	NOUN
fumecheng-10736	670	32	and	and	CCONJ
fumecheng-10736	670	33	applications	application	NOUN
fumecheng-10736	670	34	for	for	ADP
fumecheng-10736	670	35	nanobeams	nanobeam	NOUN
fumecheng-10736	670	36	,	,	PUNCT
fumecheng-10736	670	37	aip	aip	PROPN
fumecheng-10736	670	38	conference	conference	NOUN
fumecheng-10736	670	39	proceedings	proceeding	NOUN
fumecheng-10736	670	40	,	,	PUNCT
fumecheng-10736	670	41	1790(1	1790(1	NUM
fumecheng-10736	670	42	)	)	PUNCT
fumecheng-10736	670	43	,	,	PUNCT
fumecheng-10736	670	44	150018	150018	NUM
fumecheng-10736	670	45	.	.	PUNCT
fumecheng-10736	671	1	45	45	NUM
fumecheng-10736	671	2	.	.	X
fumecheng-10736	671	3	lu	lu	PROPN
fumecheng-10736	671	4	,	,	PUNCT
fumecheng-10736	671	5	l.	l.	PROPN
fumecheng-10736	671	6	,	,	PUNCT
fumecheng-10736	671	7	guo	guo	PROPN
fumecheng-10736	671	8	,	,	PUNCT
fumecheng-10736	671	9	x.	x.	PROPN
fumecheng-10736	671	10	,	,	PUNCT
fumecheng-10736	671	11	zhao	zhao	PROPN
fumecheng-10736	671	12	,	,	PUNCT
fumecheng-10736	671	13	j.	j.	PROPN
fumecheng-10736	671	14	,	,	PUNCT
fumecheng-10736	671	15	2017	2017	NUM
fumecheng-10736	671	16	,	,	PUNCT
fumecheng-10736	671	17	a	a	DET
fumecheng-10736	671	18	unified	unified	ADJ
fumecheng-10736	671	19	nonlocal	nonlocal	ADJ
fumecheng-10736	671	20	strain	strain	NOUN
fumecheng-10736	671	21	gradient	gradient	NOUN
fumecheng-10736	671	22	model	model	NOUN
fumecheng-10736	671	23	for	for	ADP
fumecheng-10736	671	24	nanobeams	nanobeam	NOUN
fumecheng-10736	671	25	and	and	CCONJ
fumecheng-10736	671	26	the	the	DET
fumecheng-10736	671	27	importance	importance	NOUN
fumecheng-10736	671	28	of	of	ADP
fumecheng-10736	671	29	higher	high	ADJ
fumecheng-10736	671	30	order	order	NOUN
fumecheng-10736	671	31	terms	term	NOUN
fumecheng-10736	671	32	,	,	PUNCT
fumecheng-10736	671	33	international	international	ADJ
fumecheng-10736	671	34	journal	journal	NOUN
fumecheng-10736	671	35	of	of	ADP
fumecheng-10736	671	36	engineering	engineering	NOUN
fumecheng-10736	671	37	science	science	NOUN
fumecheng-10736	671	38	,	,	PUNCT
fumecheng-10736	671	39	119	119	NUM
fumecheng-10736	671	40	,	,	PUNCT
fumecheng-10736	671	41	pp	pp	ADJ
fumecheng-10736	671	42	.	.	PUNCT
fumecheng-10736	672	1	265	265	NUM
fumecheng-10736	672	2	-	-	SYM
fumecheng-10736	672	3	277	277	NUM
fumecheng-10736	672	4	.	.	PUNCT
fumecheng-10736	673	1	46	46	NUM
fumecheng-10736	673	2	.	.	PUNCT
fumecheng-10736	674	1	chen	chen	PROPN
fumecheng-10736	674	2	,	,	PUNCT
fumecheng-10736	674	3	w.	w.	PROPN
fumecheng-10736	674	4	,	,	PUNCT
fumecheng-10736	674	5	wang	wang	PROPN
fumecheng-10736	674	6	,	,	PUNCT
fumecheng-10736	674	7	l.	l.	PROPN
fumecheng-10736	674	8	,	,	PUNCT
fumecheng-10736	674	9	dai	dai	PROPN
fumecheng-10736	674	10	,	,	PUNCT
fumecheng-10736	674	11	h.-l	h.-l	PROPN
fumecheng-10736	674	12	.	.	PUNCT
fumecheng-10736	674	13	,	,	PUNCT
fumecheng-10736	674	14	2019	2019	NUM
fumecheng-10736	674	15	,	,	PUNCT
fumecheng-10736	674	16	nonlinear	nonlinear	ADJ
fumecheng-10736	674	17	free	free	ADJ
fumecheng-10736	674	18	vibration	vibration	NOUN
fumecheng-10736	674	19	of	of	ADP
fumecheng-10736	674	20	nanobeams	nanobeam	NOUN
fumecheng-10736	674	21	based	base	VERB
fumecheng-10736	674	22	on	on	ADP
fumecheng-10736	674	23	nonlocal	nonlocal	ADJ
fumecheng-10736	674	24	strain	strain	NOUN
fumecheng-10736	674	25	gradient	gradient	NOUN
fumecheng-10736	674	26	theory	theory	NOUN
fumecheng-10736	674	27	with	with	ADP
fumecheng-10736	674	28	the	the	DET
fumecheng-10736	674	29	consideration	consideration	NOUN
fumecheng-10736	674	30	of	of	ADP
fumecheng-10736	674	31	thickness	thickness	NOUN
fumecheng-10736	674	32	-	-	PUNCT
fumecheng-10736	674	33	dependent	dependent	ADJ
fumecheng-10736	674	34	size	size	NOUN
fumecheng-10736	674	35	effect	effect	NOUN
fumecheng-10736	674	36	,	,	PUNCT
fumecheng-10736	674	37	journal	journal	NOUN
fumecheng-10736	674	38	of	of	ADP
fumecheng-10736	674	39	mechanics	mechanic	NOUN
fumecheng-10736	674	40	of	of	ADP
fumecheng-10736	674	41	materials	material	NOUN
fumecheng-10736	674	42	and	and	CCONJ
fumecheng-10736	674	43	structures	structure	NOUN
fumecheng-10736	674	44	,	,	PUNCT
fumecheng-10736	674	45	14(1	14(1	NUM
fumecheng-10736	674	46	)	)	PUNCT
fumecheng-10736	674	47	,	,	PUNCT
fumecheng-10736	674	48	pp	pp	ADP
fumecheng-10736	674	49	.	.	PUNCT
fumecheng-10736	675	1	119	119	NUM
fumecheng-10736	675	2	-	-	SYM
fumecheng-10736	675	3	137	137	NUM
fumecheng-10736	675	4	.	.	PUNCT
fumecheng-10736	676	1	47	47	NUM
fumecheng-10736	676	2	.	.	PUNCT
fumecheng-10736	677	1	bian	bian	PROPN
fumecheng-10736	677	2	,	,	PUNCT
fumecheng-10736	677	3	p.‐l	p.‐l	PROPN
fumecheng-10736	677	4	.	.	PROPN
fumecheng-10736	677	5	,	,	PUNCT
fumecheng-10736	677	6	qing	qing	NOUN
fumecheng-10736	677	7	,	,	PUNCT
fumecheng-10736	677	8	h.	h.	PROPN
fumecheng-10736	677	9	,	,	PUNCT
fumecheng-10736	677	10	2021	2021	NUM
fumecheng-10736	677	11	,	,	PUNCT
fumecheng-10736	677	12	on	on	ADP
fumecheng-10736	677	13	bending	bend	VERB
fumecheng-10736	677	14	consistency	consistency	NOUN
fumecheng-10736	677	15	of	of	ADP
fumecheng-10736	677	16	timoshenko	timoshenko	ADJ
fumecheng-10736	677	17	beam	beam	NOUN
fumecheng-10736	677	18	using	use	VERB
fumecheng-10736	677	19	differential	differential	NOUN
fumecheng-10736	677	20	and	and	CCONJ
fumecheng-10736	677	21	integral	integral	ADJ
fumecheng-10736	677	22	nonlocal	nonlocal	ADJ
fumecheng-10736	677	23	strain	strain	NOUN
fumecheng-10736	677	24	gradient	gradient	NOUN
fumecheng-10736	677	25	models	model	NOUN
fumecheng-10736	677	26	,	,	PUNCT
fumecheng-10736	677	27	zamm	zamm	PROPN
fumecheng-10736	677	28	journal	journal	PROPN
fumecheng-10736	677	29	of	of	ADP
fumecheng-10736	677	30	applied	apply	VERB
fumecheng-10736	677	31	mathematics	mathematic	NOUN
fumecheng-10736	677	32	and	and	CCONJ
fumecheng-10736	677	33	mechanics	mechanic	NOUN
fumecheng-10736	677	34	,	,	PUNCT
fumecheng-10736	677	35	101(8	101(8	NUM
fumecheng-10736	677	36	)	)	PUNCT
fumecheng-10736	677	37	,	,	PUNCT
fumecheng-10736	677	38	e202000132	e202000132	PROPN
fumecheng-10736	677	39	.	.	PROPN
fumecheng-10736	677	40	48	48	NUM
fumecheng-10736	677	41	.	.	PUNCT
fumecheng-10736	678	1	merzouki	merzouki	ADJ
fumecheng-10736	678	2	,	,	PUNCT
fumecheng-10736	678	3	t.	t.	PROPN
fumecheng-10736	678	4	,	,	PUNCT
fumecheng-10736	678	5	houari	houari	NOUN
fumecheng-10736	678	6	,	,	PUNCT
fumecheng-10736	678	7	m.s.a	m.s.a	NOUN
fumecheng-10736	678	8	.	.	PROPN
fumecheng-10736	678	9	,	,	PUNCT
fumecheng-10736	678	10	haboussi	haboussi	ADJ
fumecheng-10736	678	11	,	,	PUNCT
fumecheng-10736	678	12	m.	m.	NOUN
fumecheng-10736	678	13	,	,	PUNCT
fumecheng-10736	678	14	bessaim	bessaim	NOUN
fumecheng-10736	678	15	,	,	PUNCT
fumecheng-10736	678	16	a.	a.	NOUN
fumecheng-10736	678	17	,	,	PUNCT
fumecheng-10736	678	18	ganapathi	ganapathi	NOUN
fumecheng-10736	678	19	,	,	PUNCT
fumecheng-10736	678	20	m.	m.	NOUN
fumecheng-10736	678	21	,	,	PUNCT
fumecheng-10736	678	22	2022	2022	NUM
fumecheng-10736	678	23	,	,	PUNCT
fumecheng-10736	678	24	nonlocal	nonlocal	ADJ
fumecheng-10736	678	25	strain	strain	NOUN
fumecheng-10736	678	26	gradient	gradient	ADJ
fumecheng-10736	678	27	finite	finite	ADJ
fumecheng-10736	678	28	element	element	NOUN
fumecheng-10736	678	29	analysis	analysis	NOUN
fumecheng-10736	678	30	of	of	ADP
fumecheng-10736	678	31	nanobeams	nanobeam	NOUN
fumecheng-10736	678	32	using	use	VERB
fumecheng-10736	678	33	two	two	NUM
fumecheng-10736	678	34	-	-	PUNCT
fumecheng-10736	678	35	variable	variable	NOUN
fumecheng-10736	678	36	trigonometric	trigonometric	ADJ
fumecheng-10736	678	37	shear	shear	NOUN
fumecheng-10736	678	38	deformation	deformation	NOUN
fumecheng-10736	678	39	theory	theory	NOUN
fumecheng-10736	678	40	,	,	PUNCT
fumecheng-10736	678	41	engineering	engineering	NOUN
fumecheng-10736	678	42	with	with	ADP
fumecheng-10736	678	43	computers	computer	NOUN
fumecheng-10736	678	44	,	,	PUNCT
fumecheng-10736	678	45	38	38	NUM
fumecheng-10736	678	46	,	,	PUNCT
fumecheng-10736	678	47	pp	pp	ADJ
fumecheng-10736	678	48	.	.	PUNCT
fumecheng-10736	679	1	647	647	NUM
fumecheng-10736	679	2	-	-	SYM
fumecheng-10736	679	3	665	665	NUM
fumecheng-10736	679	4	.	.	PUNCT
fumecheng-10736	680	1	49	49	NUM
fumecheng-10736	680	2	.	.	PUNCT
fumecheng-10736	681	1	zhao	zhao	PROPN
fumecheng-10736	681	2	,	,	PUNCT
fumecheng-10736	681	3	x.	x.	PROPN
fumecheng-10736	681	4	,	,	PUNCT
fumecheng-10736	681	5	zheng	zheng	PROPN
fumecheng-10736	681	6	,	,	PUNCT
fumecheng-10736	681	7	s.	s.	PROPN
fumecheng-10736	681	8	,	,	PUNCT
fumecheng-10736	681	9	li	li	PROPN
fumecheng-10736	681	10	,	,	PUNCT
fumecheng-10736	681	11	z.	z.	PROPN
fumecheng-10736	681	12	,	,	PUNCT
fumecheng-10736	681	13	2022	2022	NUM
fumecheng-10736	681	14	,	,	PUNCT
fumecheng-10736	681	15	bending	bending	NOUN
fumecheng-10736	681	16	,	,	PUNCT
fumecheng-10736	681	17	free	free	ADJ
fumecheng-10736	681	18	vibration	vibration	NOUN
fumecheng-10736	681	19	and	and	CCONJ
fumecheng-10736	681	20	buckling	buckle	VERB
fumecheng-10736	681	21	analyses	analysis	NOUN
fumecheng-10736	681	22	of	of	ADP
fumecheng-10736	681	23	afg	afg	PROPN
fumecheng-10736	681	24	flexoelectric	flexoelectric	ADJ
fumecheng-10736	681	25	nanobeams	nanobeam	NOUN
fumecheng-10736	681	26	based	base	VERB
fumecheng-10736	681	27	on	on	ADP
fumecheng-10736	681	28	the	the	DET
fumecheng-10736	681	29	strain	strain	NOUN
fumecheng-10736	681	30	gradient	gradient	NOUN
fumecheng-10736	681	31	theory	theory	NOUN
fumecheng-10736	681	32	,	,	PUNCT
fumecheng-10736	681	33	mechanics	mechanic	NOUN
fumecheng-10736	681	34	of	of	ADP
fumecheng-10736	681	35	advanced	advanced	ADJ
fumecheng-10736	681	36	materials	material	NOUN
fumecheng-10736	681	37	and	and	CCONJ
fumecheng-10736	681	38	structures	structure	NOUN
fumecheng-10736	681	39	,	,	PUNCT
fumecheng-10736	681	40	29(4	29(4	NOUN
fumecheng-10736	681	41	)	)	PUNCT
fumecheng-10736	681	42	,	,	PUNCT
fumecheng-10736	681	43	pp	pp	ADJ
fumecheng-10736	681	44	.	.	PUNCT
fumecheng-10736	682	1	548	548	NUM
fumecheng-10736	682	2	-	-	SYM
fumecheng-10736	682	3	563	563	NUM
fumecheng-10736	682	4	.	.	NOUN
fumecheng-10736	683	1	50	50	NUM
fumecheng-10736	683	2	.	.	X
fumecheng-10736	684	1	polizzotto	polizzotto	PROPN
fumecheng-10736	684	2	,	,	PUNCT
fumecheng-10736	684	3	c.	c.	NOUN
fumecheng-10736	684	4	,	,	PUNCT
fumecheng-10736	684	5	2017	2017	NUM
fumecheng-10736	684	6	,	,	PUNCT
fumecheng-10736	684	7	a	a	DET
fumecheng-10736	684	8	hierarchy	hierarchy	NOUN
fumecheng-10736	684	9	of	of	ADP
fumecheng-10736	684	10	simplified	simplified	ADJ
fumecheng-10736	684	11	constitutive	constitutive	ADJ
fumecheng-10736	684	12	models	model	NOUN
fumecheng-10736	684	13	within	within	ADP
fumecheng-10736	684	14	isotropic	isotropic	ADJ
fumecheng-10736	684	15	strain	strain	NOUN
fumecheng-10736	684	16	gradient	gradient	NOUN
fumecheng-10736	684	17	elasticity	elasticity	NOUN
fumecheng-10736	684	18	,	,	PUNCT
fumecheng-10736	684	19	european	european	PROPN
fumecheng-10736	684	20	journal	journal	PROPN
fumecheng-10736	684	21	of	of	ADP
fumecheng-10736	684	22	mechanics	mechanic	NOUN
fumecheng-10736	684	23	a	a	DET
fumecheng-10736	684	24	/	/	SYM
fumecheng-10736	684	25	solids	solid	NOUN
fumecheng-10736	684	26	,	,	PUNCT
fumecheng-10736	684	27	61	61	NUM
fumecheng-10736	684	28	,	,	PUNCT
fumecheng-10736	684	29	pp	pp	ADJ
fumecheng-10736	684	30	.	.	PUNCT
fumecheng-10736	685	1	92	92	NUM
fumecheng-10736	685	2	-	-	SYM
fumecheng-10736	685	3	109	109	NUM
fumecheng-10736	685	4	.	.	PUNCT
fumecheng-10736	686	1	51	51	NUM
fumecheng-10736	686	2	.	.	PUNCT
fumecheng-10736	687	1	altan	altan	PROPN
fumecheng-10736	687	2	,	,	PUNCT
fumecheng-10736	687	3	b.s	b.s	PROPN
fumecheng-10736	687	4	.	.	PROPN
fumecheng-10736	687	5	,	,	PUNCT
fumecheng-10736	687	6	aifantis	aifantis	PROPN
fumecheng-10736	687	7	,	,	PUNCT
fumecheng-10736	687	8	e.c	e.c	PROPN
fumecheng-10736	687	9	.	.	PROPN
fumecheng-10736	687	10	,	,	PUNCT
fumecheng-10736	687	11	1997	1997	NUM
fumecheng-10736	687	12	,	,	PUNCT
fumecheng-10736	687	13	on	on	ADP
fumecheng-10736	687	14	some	some	DET
fumecheng-10736	687	15	aspects	aspect	NOUN
fumecheng-10736	687	16	in	in	ADP
fumecheng-10736	687	17	the	the	DET
fumecheng-10736	687	18	special	special	ADJ
fumecheng-10736	687	19	theory	theory	NOUN
fumecheng-10736	687	20	of	of	ADP
fumecheng-10736	687	21	gradient	gradient	ADJ
fumecheng-10736	687	22	elasticity	elasticity	NOUN
fumecheng-10736	687	23	,	,	PUNCT
fumecheng-10736	687	24	journal	journal	NOUN
fumecheng-10736	687	25	of	of	ADP
fumecheng-10736	687	26	the	the	DET
fumecheng-10736	687	27	mechanical	mechanical	ADJ
fumecheng-10736	687	28	behavior	behavior	NOUN
fumecheng-10736	687	29	of	of	ADP
fumecheng-10736	687	30	materials	material	NOUN
fumecheng-10736	687	31	,	,	PUNCT
fumecheng-10736	687	32	8(3	8(3	NUM
fumecheng-10736	687	33	)	)	PUNCT
fumecheng-10736	687	34	,	,	PUNCT
fumecheng-10736	687	35	pp	pp	ADJ
fumecheng-10736	687	36	.	.	PUNCT
fumecheng-10736	688	1	231	231	NUM
fumecheng-10736	688	2	-	-	SYM
fumecheng-10736	688	3	282	282	NUM
fumecheng-10736	688	4	.	.	PUNCT
fumecheng-10736	689	1	52	52	NUM
fumecheng-10736	689	2	.	.	PUNCT
fumecheng-10736	690	1	barretta	barretta	NOUN
fumecheng-10736	690	2	,	,	PUNCT
fumecheng-10736	690	3	r.	r.	PROPN
fumecheng-10736	690	4	,	,	PUNCT
fumecheng-10736	690	5	marotti	marotti	PROPN
fumecheng-10736	690	6	de	de	X
fumecheng-10736	690	7	sciarra	sciarra	PROPN
fumecheng-10736	690	8	,	,	PUNCT
fumecheng-10736	690	9	f.	f.	PROPN
fumecheng-10736	690	10	,	,	PUNCT
fumecheng-10736	690	11	2013	2013	NUM
fumecheng-10736	690	12	,	,	PUNCT
fumecheng-10736	690	13	a	a	DET
fumecheng-10736	690	14	nonlocal	nonlocal	ADJ
fumecheng-10736	690	15	model	model	NOUN
fumecheng-10736	690	16	for	for	ADP
fumecheng-10736	690	17	carbon	carbon	NOUN
fumecheng-10736	690	18	nanotubes	nanotube	NOUN
fumecheng-10736	690	19	under	under	ADP
fumecheng-10736	690	20	axial	axial	ADJ
fumecheng-10736	690	21	loads	load	NOUN
fumecheng-10736	690	22	,	,	PUNCT
fumecheng-10736	690	23	advances	advance	NOUN
fumecheng-10736	690	24	in	in	ADP
fumecheng-10736	690	25	materials	material	NOUN
fumecheng-10736	690	26	science	science	NOUN
fumecheng-10736	690	27	and	and	CCONJ
fumecheng-10736	690	28	engineering	engineering	NOUN
fumecheng-10736	690	29	,	,	PUNCT
fumecheng-10736	690	30	360935	360935	NUM
fumecheng-10736	690	31	.	.	PUNCT
fumecheng-10736	691	1	53	53	NUM
fumecheng-10736	691	2	.	.	PUNCT
fumecheng-10736	691	3	sidhardh	sidhardh	PROPN
fumecheng-10736	691	4	,	,	PUNCT
fumecheng-10736	691	5	s.	s.	PROPN
fumecheng-10736	691	6	,	,	PUNCT
fumecheng-10736	691	7	ray	ray	PROPN
fumecheng-10736	691	8	,	,	PUNCT
fumecheng-10736	691	9	m.c	m.c	PROPN
fumecheng-10736	691	10	.	.	PROPN
fumecheng-10736	691	11	,	,	PUNCT
fumecheng-10736	691	12	2019	2019	NUM
fumecheng-10736	691	13	,	,	PUNCT
fumecheng-10736	691	14	exact	exact	ADJ
fumecheng-10736	691	15	solutions	solution	NOUN
fumecheng-10736	691	16	for	for	ADP
fumecheng-10736	691	17	elastic	elastic	ADJ
fumecheng-10736	691	18	response	response	NOUN
fumecheng-10736	691	19	in	in	ADP
fumecheng-10736	691	20	microand	microand	ADJ
fumecheng-10736	691	21	nano	nano	NOUN
fumecheng-10736	691	22	-	-	PUNCT
fumecheng-10736	691	23	beams	beam	NOUN
fumecheng-10736	691	24	considering	consider	VERB
fumecheng-10736	691	25	strain	strain	NOUN
fumecheng-10736	691	26	gradient	gradient	ADJ
fumecheng-10736	691	27	elasticity	elasticity	NOUN
fumecheng-10736	691	28	,	,	PUNCT
fumecheng-10736	691	29	mathematics	mathematic	NOUN
fumecheng-10736	691	30	and	and	CCONJ
fumecheng-10736	691	31	mechanics	mechanic	NOUN
fumecheng-10736	691	32	of	of	ADP
fumecheng-10736	691	33	solids	solid	NOUN
fumecheng-10736	691	34	,	,	PUNCT
fumecheng-10736	691	35	24(4	24(4	NOUN
fumecheng-10736	691	36	)	)	PUNCT
fumecheng-10736	691	37	,	,	PUNCT
fumecheng-10736	691	38	pp	pp	PROPN
fumecheng-10736	691	39	.	.	PUNCT
fumecheng-10736	692	1	895	895	NUM
fumecheng-10736	692	2	-	-	SYM
fumecheng-10736	692	3	918	918	NUM
fumecheng-10736	692	4	.	.	PUNCT
fumecheng-10736	693	1	54	54	NUM
fumecheng-10736	693	2	.	.	PUNCT
fumecheng-10736	694	1	yin	yin	PROPN
fumecheng-10736	694	2	,	,	PUNCT
fumecheng-10736	694	3	s.	s.	PROPN
fumecheng-10736	694	4	,	,	PUNCT
fumecheng-10736	694	5	xiao	xiao	PROPN
fumecheng-10736	694	6	,	,	PUNCT
fumecheng-10736	694	7	z.	z.	PROPN
fumecheng-10736	694	8	,	,	PUNCT
fumecheng-10736	694	9	deng	deng	PROPN
fumecheng-10736	694	10	,	,	PUNCT
fumecheng-10736	694	11	y.	y.	PROPN
fumecheng-10736	694	12	,	,	PUNCT
fumecheng-10736	694	13	zhang	zhang	PROPN
fumecheng-10736	694	14	,	,	PUNCT
fumecheng-10736	694	15	g.	g.	PROPN
fumecheng-10736	694	16	,	,	PUNCT
fumecheng-10736	694	17	liu	liu	PROPN
fumecheng-10736	694	18	,	,	PUNCT
fumecheng-10736	694	19	j.	j.	PROPN
fumecheng-10736	694	20	,	,	PUNCT
fumecheng-10736	694	21	gu	gu	PROPN
fumecheng-10736	694	22	,	,	PUNCT
fumecheng-10736	694	23	s.	s.	PROPN
fumecheng-10736	694	24	,	,	PUNCT
fumecheng-10736	694	25	2021	2021	NUM
fumecheng-10736	694	26	,	,	PUNCT
fumecheng-10736	694	27	isogeometric	isogeometric	ADJ
fumecheng-10736	694	28	analysis	analysis	NOUN
fumecheng-10736	694	29	of	of	ADP
fumecheng-10736	694	30	size	size	NOUN
fumecheng-10736	694	31	-	-	PUNCT
fumecheng-10736	694	32	dependent	dependent	ADJ
fumecheng-10736	694	33	bernoulli	bernoulli	NOUN
fumecheng-10736	694	34	–	–	PUNCT
fumecheng-10736	694	35	euler	euler	NOUN
fumecheng-10736	694	36	beam	beam	NOUN
fumecheng-10736	694	37	based	base	VERB
fumecheng-10736	694	38	on	on	ADP
fumecheng-10736	694	39	a	a	DET
fumecheng-10736	694	40	reformulated	reformulate	VERB
fumecheng-10736	694	41	strain	strain	NOUN
fumecheng-10736	694	42	gradient	gradient	NOUN
fumecheng-10736	694	43	elasticity	elasticity	NOUN
fumecheng-10736	694	44	theory	theory	NOUN
fumecheng-10736	694	45	,	,	PUNCT
fumecheng-10736	694	46	computers	computer	NOUN
fumecheng-10736	694	47	&	&	CCONJ
fumecheng-10736	694	48	structures	structure	NOUN
fumecheng-10736	694	49	,	,	PUNCT
fumecheng-10736	694	50	253	253	NUM
fumecheng-10736	694	51	,	,	PUNCT
fumecheng-10736	694	52	106577	106577	NUM
fumecheng-10736	694	53	.	.	PUNCT
fumecheng-10736	695	1	55	55	NUM
fumecheng-10736	695	2	.	.	X
fumecheng-10736	696	1	papargyri	papargyri	PROPN
fumecheng-10736	696	2	-	-	PUNCT
fumecheng-10736	696	3	beskou	beskou	PROPN
fumecheng-10736	696	4	,	,	PUNCT
fumecheng-10736	696	5	s.	s.	PROPN
fumecheng-10736	696	6	,	,	PUNCT
fumecheng-10736	696	7	polyzos	polyzos	PROPN
fumecheng-10736	696	8	,	,	PUNCT
fumecheng-10736	696	9	d.	d.	PROPN
fumecheng-10736	696	10	,	,	PUNCT
fumecheng-10736	696	11	beskos	beskos	PROPN
fumecheng-10736	696	12	,	,	PUNCT
fumecheng-10736	696	13	d.e	d.e	PROPN
fumecheng-10736	696	14	.	.	PROPN
fumecheng-10736	696	15	,	,	PUNCT
fumecheng-10736	696	16	2009	2009	NUM
fumecheng-10736	696	17	,	,	PUNCT
fumecheng-10736	696	18	wave	wave	NOUN
fumecheng-10736	696	19	dispersion	dispersion	NOUN
fumecheng-10736	696	20	in	in	ADP
fumecheng-10736	696	21	gradient	gradient	ADJ
fumecheng-10736	696	22	elastic	elastic	ADJ
fumecheng-10736	696	23	solids	solid	NOUN
fumecheng-10736	696	24	and	and	CCONJ
fumecheng-10736	696	25	structures	structure	NOUN
fumecheng-10736	696	26	:	:	PUNCT
fumecheng-10736	696	27	a	a	DET
fumecheng-10736	696	28	unified	unified	ADJ
fumecheng-10736	696	29	treatment	treatment	NOUN
fumecheng-10736	696	30	,	,	PUNCT
fumecheng-10736	696	31	international	international	ADJ
fumecheng-10736	696	32	journal	journal	NOUN
fumecheng-10736	696	33	of	of	ADP
fumecheng-10736	696	34	solids	solid	NOUN
fumecheng-10736	696	35	and	and	CCONJ
fumecheng-10736	696	36	structures	structure	NOUN
fumecheng-10736	696	37	,	,	PUNCT
fumecheng-10736	696	38	46(21	46(21	NOUN
fumecheng-10736	696	39	)	)	PUNCT
fumecheng-10736	696	40	,	,	PUNCT
fumecheng-10736	696	41	pp	pp	ADP
fumecheng-10736	696	42	.	.	PUNCT
fumecheng-10736	697	1	3751	3751	NUM
fumecheng-10736	697	2	-	-	SYM
fumecheng-10736	697	3	3759	3759	NUM
fumecheng-10736	697	4	.	.	PUNCT
fumecheng-10736	698	1	56	56	NUM
fumecheng-10736	698	2	.	.	X
fumecheng-10736	698	3	sapsathiarn	sapsathiarn	PROPN
fumecheng-10736	698	4	,	,	PUNCT
fumecheng-10736	698	5	y.	y.	PROPN
fumecheng-10736	698	6	,	,	PUNCT
fumecheng-10736	698	7	rajapakse	rajapakse	PROPN
fumecheng-10736	698	8	,	,	PUNCT
fumecheng-10736	698	9	r.k.n.d	r.k.n.d	PROPN
fumecheng-10736	698	10	.	.	PROPN
fumecheng-10736	698	11	,	,	PUNCT
fumecheng-10736	698	12	2018	2018	NUM
fumecheng-10736	698	13	,	,	PUNCT
fumecheng-10736	698	14	mechanistic	mechanistic	ADJ
fumecheng-10736	698	15	models	model	NOUN
fumecheng-10736	698	16	for	for	ADP
fumecheng-10736	698	17	nanobeams	nanobeam	NOUN
fumecheng-10736	698	18	with	with	ADP
fumecheng-10736	698	19	surface	surface	NOUN
fumecheng-10736	698	20	stress	stress	NOUN
fumecheng-10736	698	21	effects	effect	NOUN
fumecheng-10736	698	22	,	,	PUNCT
fumecheng-10736	698	23	journal	journal	NOUN
fumecheng-10736	698	24	of	of	ADP
fumecheng-10736	698	25	engineering	engineering	NOUN
fumecheng-10736	698	26	mechanics	mechanic	NOUN
fumecheng-10736	698	27	,	,	PUNCT
fumecheng-10736	698	28	144(11	144(11	NUM
fumecheng-10736	698	29	)	)	PUNCT
fumecheng-10736	698	30	,	,	PUNCT
fumecheng-10736	698	31	04018098	04018098	NUM
fumecheng-10736	698	32	.	.	PUNCT
fumecheng-10736	699	1	57	57	NUM
fumecheng-10736	699	2	.	.	PUNCT
fumecheng-10736	700	1	gao	gao	PROPN
fumecheng-10736	700	2	,	,	PUNCT
fumecheng-10736	700	3	x.-l	x.-l	PROPN
fumecheng-10736	700	4	.	.	PUNCT
fumecheng-10736	700	5	,	,	PUNCT
fumecheng-10736	700	6	mahmoud	mahmoud	PROPN
fumecheng-10736	700	7	,	,	PUNCT
fumecheng-10736	700	8	f.f	f.f	PROPN
fumecheng-10736	700	9	.	.	PROPN
fumecheng-10736	700	10	,	,	PUNCT
fumecheng-10736	700	11	2014	2014	NUM
fumecheng-10736	700	12	,	,	PUNCT
fumecheng-10736	700	13	a	a	DET
fumecheng-10736	700	14	new	new	ADJ
fumecheng-10736	700	15	bernoulli	bernoulli	PROPN
fumecheng-10736	700	16	–	–	PUNCT
fumecheng-10736	700	17	euler	euler	NOUN
fumecheng-10736	700	18	beam	beam	PROPN
fumecheng-10736	700	19	model	model	NOUN
fumecheng-10736	700	20	incorporating	incorporate	VERB
fumecheng-10736	700	21	microstructure	microstructure	NOUN
fumecheng-10736	700	22	and	and	CCONJ
fumecheng-10736	700	23	surface	surface	NOUN
fumecheng-10736	700	24	energy	energy	NOUN
fumecheng-10736	700	25	effects	effect	NOUN
fumecheng-10736	700	26	,	,	PUNCT
fumecheng-10736	700	27	zeitschrift	zeitschrift	PROPN
fumecheng-10736	700	28	für	für	PROPN
fumecheng-10736	700	29	angewandte	angewandte	PROPN
fumecheng-10736	700	30	mathematik	mathematik	PROPN
fumecheng-10736	700	31	und	und	PROPN
fumecheng-10736	700	32	physik	physik	PROPN
fumecheng-10736	700	33	,	,	PUNCT
fumecheng-10736	700	34	65	65	NUM
fumecheng-10736	700	35	,	,	PUNCT
fumecheng-10736	700	36	pp	pp	ADJ
fumecheng-10736	700	37	.	.	PUNCT
fumecheng-10736	701	1	393	393	NUM
fumecheng-10736	701	2	-	-	SYM
fumecheng-10736	701	3	404	404	NUM
fumecheng-10736	701	4	.	.	PUNCT
fumecheng-10736	702	1	58	58	NUM
fumecheng-10736	702	2	.	.	PUNCT
fumecheng-10736	703	1	ahouel	ahouel	PROPN
fumecheng-10736	703	2	,	,	PUNCT
fumecheng-10736	703	3	m.	m.	NOUN
fumecheng-10736	703	4	,	,	PUNCT
fumecheng-10736	703	5	houari	houari	NOUN
fumecheng-10736	703	6	,	,	PUNCT
fumecheng-10736	703	7	m.s.a	m.s.a	NOUN
fumecheng-10736	703	8	.	.	PROPN
fumecheng-10736	703	9	,	,	PUNCT
fumecheng-10736	703	10	bedia	bedia	PROPN
fumecheng-10736	703	11	,	,	PUNCT
fumecheng-10736	703	12	e.a.a	e.a.a	PROPN
fumecheng-10736	703	13	.	.	PROPN
fumecheng-10736	703	14	,	,	PUNCT
fumecheng-10736	703	15	tounsi	tounsi	NOUN
fumecheng-10736	703	16	,	,	PUNCT
fumecheng-10736	703	17	a.	a.	NOUN
fumecheng-10736	703	18	,	,	PUNCT
fumecheng-10736	703	19	2016	2016	NUM
fumecheng-10736	703	20	,	,	PUNCT
fumecheng-10736	703	21	size	size	NOUN
fumecheng-10736	703	22	-	-	PUNCT
fumecheng-10736	703	23	dependent	dependent	ADJ
fumecheng-10736	703	24	mechanical	mechanical	ADJ
fumecheng-10736	703	25	behavior	behavior	NOUN
fumecheng-10736	703	26	of	of	ADP
fumecheng-10736	703	27	functionally	functionally	ADV
fumecheng-10736	703	28	graded	grade	VERB
fumecheng-10736	703	29	trigonometric	trigonometric	ADJ
fumecheng-10736	703	30	shear	shear	NOUN
fumecheng-10736	703	31	deformable	deformable	ADJ
fumecheng-10736	703	32	nanobeams	nanobeam	NOUN
fumecheng-10736	703	33	including	include	VERB
fumecheng-10736	703	34	neutral	neutral	ADJ
fumecheng-10736	703	35	surface	surface	NOUN
fumecheng-10736	703	36	position	position	NOUN
fumecheng-10736	703	37	concept	concept	NOUN
fumecheng-10736	703	38	,	,	PUNCT
fumecheng-10736	703	39	steel	steel	NOUN
fumecheng-10736	703	40	and	and	CCONJ
fumecheng-10736	703	41	composite	composite	ADJ
fumecheng-10736	703	42	structures	structure	NOUN
fumecheng-10736	703	43	,	,	PUNCT
fumecheng-10736	703	44	20(5	20(5	NUM
fumecheng-10736	703	45	)	)	PUNCT
fumecheng-10736	703	46	,	,	PUNCT
fumecheng-10736	703	47	pp	pp	ADP
fumecheng-10736	703	48	.	.	PUNCT
fumecheng-10736	704	1	963	963	NUM
fumecheng-10736	704	2	-	-	SYM
fumecheng-10736	704	3	981	981	NUM
fumecheng-10736	704	4	.	.	PUNCT
fumecheng-10736	705	1	59	59	NUM
fumecheng-10736	705	2	.	.	PUNCT
fumecheng-10736	705	3	sae	sae	PROPN
fumecheng-10736	705	4	-	-	PROPN
fumecheng-10736	705	5	long	long	ADV
fumecheng-10736	705	6	,	,	PUNCT
fumecheng-10736	705	7	w.	w.	PROPN
fumecheng-10736	705	8	,	,	PUNCT
fumecheng-10736	705	9	limkatanyu	limkatanyu	PROPN
fumecheng-10736	705	10	,	,	PUNCT
fumecheng-10736	705	11	s.	s.	PROPN
fumecheng-10736	705	12	,	,	PUNCT
fumecheng-10736	705	13	prachasaree	prachasaree	PROPN
fumecheng-10736	705	14	,	,	PUNCT
fumecheng-10736	705	15	w.	w.	PROPN
fumecheng-10736	705	16	,	,	PUNCT
fumecheng-10736	705	17	rungamornrat	rungamornrat	PROPN
fumecheng-10736	705	18	,	,	PUNCT
fumecheng-10736	705	19	j.	j.	PROPN
fumecheng-10736	705	20	,	,	PUNCT
fumecheng-10736	705	21	sukontasukkul	sukontasukkul	NOUN
fumecheng-10736	705	22	,	,	PUNCT
fumecheng-10736	705	23	p.	p.	NOUN
fumecheng-10736	705	24	,	,	PUNCT
fumecheng-10736	705	25	2020	2020	NUM
fumecheng-10736	705	26	,	,	PUNCT
fumecheng-10736	705	27	a	a	DET
fumecheng-10736	705	28	thermodynamics	thermodynamic	NOUN
fumecheng-10736	705	29	-	-	PUNCT
fumecheng-10736	705	30	based	base	VERB
fumecheng-10736	705	31	nonlocal	nonlocal	ADJ
fumecheng-10736	705	32	bar	bar	NOUN
fumecheng-10736	705	33	-	-	PUNCT
fumecheng-10736	705	34	elastic	elastic	ADJ
fumecheng-10736	705	35	substrate	substrate	NOUN
fumecheng-10736	705	36	model	model	NOUN
fumecheng-10736	705	37	with	with	ADP
fumecheng-10736	705	38	inclusion	inclusion	NOUN
fumecheng-10736	705	39	of	of	ADP
fumecheng-10736	705	40	surface	surface	NOUN
fumecheng-10736	705	41	-	-	PUNCT
fumecheng-10736	705	42	energy	energy	NOUN
fumecheng-10736	705	43	effect	effect	NOUN
fumecheng-10736	705	44	,	,	PUNCT
fumecheng-10736	705	45	journal	journal	NOUN
fumecheng-10736	705	46	of	of	ADP
fumecheng-10736	705	47	nanomaterials	nanomaterial	NOUN
fumecheng-10736	705	48	,	,	PUNCT
fumecheng-10736	705	49	8276745	8276745	NUM
fumecheng-10736	705	50	.	.	PUNCT
fumecheng-10736	706	1	586	586	NUM
fumecheng-10736	706	2	s.	s.	PROPN
fumecheng-10736	706	3	limkatanyu	limkatanyu	PROPN
fumecheng-10736	706	4	,	,	PUNCT
fumecheng-10736	706	5	w.	w.	PROPN
fumecheng-10736	706	6	sae	sae	PROPN
fumecheng-10736	706	7	-	-	PROPN
fumecheng-10736	706	8	long	long	ADV
fumecheng-10736	706	9	,	,	PUNCT
fumecheng-10736	706	10	j.	j.	PROPN
fumecheng-10736	706	11	rungamornrat	rungamornrat	PROPN
fumecheng-10736	706	12	,	,	PUNCT
fumecheng-10736	706	13	et	et	PROPN
fumecheng-10736	706	14	al	al	PROPN
fumecheng-10736	706	15	.	.	PROPN
fumecheng-10736	706	16	60	60	NUM
fumecheng-10736	706	17	.	.	PUNCT
fumecheng-10736	707	1	foroutan	foroutan	PROPN
fumecheng-10736	707	2	,	,	PUNCT
fumecheng-10736	707	3	s.	s.	PROPN
fumecheng-10736	707	4	,	,	PUNCT
fumecheng-10736	707	5	haghshenas	haghshenas	PROPN
fumecheng-10736	707	6	,	,	PUNCT
fumecheng-10736	707	7	a.	a.	NOUN
fumecheng-10736	707	8	,	,	PUNCT
fumecheng-10736	707	9	hashemian	hashemian	ADJ
fumecheng-10736	707	10	,	,	PUNCT
fumecheng-10736	707	11	m.	m.	NOUN
fumecheng-10736	707	12	,	,	PUNCT
fumecheng-10736	707	13	eftekhari	eftekhari	PROPN
fumecheng-10736	707	14	,	,	PUNCT
fumecheng-10736	707	15	s.a	s.a	PROPN
fumecheng-10736	707	16	.	.	PROPN
fumecheng-10736	707	17	,	,	PUNCT
fumecheng-10736	707	18	toghraie	toghraie	PROPN
fumecheng-10736	707	19	,	,	PUNCT
fumecheng-10736	707	20	d.	d.	PROPN
fumecheng-10736	707	21	,	,	PUNCT
fumecheng-10736	707	22	2018	2018	NUM
fumecheng-10736	707	23	,	,	PUNCT
fumecheng-10736	707	24	spatial	spatial	ADJ
fumecheng-10736	707	25	buckling	buckling	NOUN
fumecheng-10736	707	26	analysis	analysis	NOUN
fumecheng-10736	707	27	of	of	ADP
fumecheng-10736	707	28	current	current	ADJ
fumecheng-10736	707	29	-	-	PUNCT
fumecheng-10736	707	30	carrying	carry	VERB
fumecheng-10736	707	31	nanowires	nanowire	NOUN
fumecheng-10736	707	32	in	in	ADP
fumecheng-10736	707	33	the	the	DET
fumecheng-10736	707	34	presence	presence	NOUN
fumecheng-10736	707	35	of	of	ADP
fumecheng-10736	707	36	a	a	DET
fumecheng-10736	707	37	longitudinal	longitudinal	ADJ
fumecheng-10736	707	38	magnetic	magnetic	ADJ
fumecheng-10736	707	39	field	field	NOUN
fumecheng-10736	707	40	accounting	account	VERB
fumecheng-10736	707	41	for	for	ADP
fumecheng-10736	707	42	both	both	DET
fumecheng-10736	707	43	surface	surface	NOUN
fumecheng-10736	707	44	and	and	CCONJ
fumecheng-10736	707	45	nonlocal	nonlocal	ADJ
fumecheng-10736	707	46	effects	effect	NOUN
fumecheng-10736	707	47	,	,	PUNCT
fumecheng-10736	707	48	physica	physica	NOUN
fumecheng-10736	707	49	e	e	NOUN
fumecheng-10736	707	50	:	:	PUNCT
fumecheng-10736	707	51	low	low	ADJ
fumecheng-10736	707	52	-	-	PUNCT
fumecheng-10736	707	53	dimensional	dimensional	ADJ
fumecheng-10736	707	54	systems	system	NOUN
fumecheng-10736	707	55	and	and	CCONJ
fumecheng-10736	707	56	nanostructures	nanostructure	NOUN
fumecheng-10736	707	57	,	,	PUNCT
fumecheng-10736	707	58	97	97	NUM
fumecheng-10736	707	59	,	,	PUNCT
fumecheng-10736	707	60	pp	pp	ADJ
fumecheng-10736	707	61	.	.	PUNCT
fumecheng-10736	708	1	191	191	NUM
fumecheng-10736	708	2	-	-	SYM
fumecheng-10736	708	3	205	205	NUM
fumecheng-10736	708	4	.	.	PUNCT
fumecheng-10736	709	1	61	61	NUM
fumecheng-10736	709	2	.	.	PUNCT
fumecheng-10736	710	1	hosseini	hosseini	PROPN
fumecheng-10736	710	2	-	-	PUNCT
fumecheng-10736	710	3	hashemi	hashemi	PROPN
fumecheng-10736	710	4	,	,	PUNCT
fumecheng-10736	710	5	s.	s.	PROPN
fumecheng-10736	710	6	,	,	PUNCT
fumecheng-10736	710	7	nazemnezhad	nazemnezhad	PROPN
fumecheng-10736	710	8	,	,	PUNCT
fumecheng-10736	710	9	r.	r.	PROPN
fumecheng-10736	710	10	,	,	PUNCT
fumecheng-10736	710	11	rokni	rokni	PROPN
fumecheng-10736	710	12	,	,	PUNCT
fumecheng-10736	710	13	h.	h.	PROPN
fumecheng-10736	710	14	,	,	PUNCT
fumecheng-10736	710	15	2015	2015	NUM
fumecheng-10736	710	16	,	,	PUNCT
fumecheng-10736	710	17	nonlocal	nonlocal	ADJ
fumecheng-10736	710	18	nonlinear	nonlinear	ADJ
fumecheng-10736	710	19	free	free	ADJ
fumecheng-10736	710	20	vibration	vibration	NOUN
fumecheng-10736	710	21	of	of	ADP
fumecheng-10736	710	22	nanobeams	nanobeam	NOUN
fumecheng-10736	710	23	with	with	ADP
fumecheng-10736	710	24	surface	surface	NOUN
fumecheng-10736	710	25	effects	effect	NOUN
fumecheng-10736	710	26	,	,	PUNCT
fumecheng-10736	710	27	european	european	PROPN
fumecheng-10736	710	28	journal	journal	PROPN
fumecheng-10736	710	29	of	of	ADP
fumecheng-10736	710	30	mechanics	mechanic	NOUN
fumecheng-10736	710	31	a	a	DET
fumecheng-10736	710	32	/	/	SYM
fumecheng-10736	710	33	solids	solid	NOUN
fumecheng-10736	710	34	,	,	PUNCT
fumecheng-10736	710	35	52	52	NUM
fumecheng-10736	710	36	,	,	PUNCT
fumecheng-10736	710	37	pp	pp	ADJ
fumecheng-10736	710	38	.	.	PUNCT
fumecheng-10736	711	1	44	44	NUM
fumecheng-10736	711	2	-	-	SYM
fumecheng-10736	711	3	53	53	NUM
fumecheng-10736	711	4	.	.	PUNCT
fumecheng-10736	712	1	62	62	NUM
fumecheng-10736	712	2	.	.	PUNCT
fumecheng-10736	713	1	yin	yin	PROPN
fumecheng-10736	713	2	,	,	PUNCT
fumecheng-10736	713	3	f.	f.	PROPN
fumecheng-10736	713	4	,	,	PUNCT
fumecheng-10736	713	5	chen	chen	PROPN
fumecheng-10736	713	6	,	,	PUNCT
fumecheng-10736	713	7	c.p	c.p	PROPN
fumecheng-10736	713	8	.	.	PROPN
fumecheng-10736	713	9	,	,	PUNCT
fumecheng-10736	713	10	chen	chen	PROPN
fumecheng-10736	713	11	,	,	PUNCT
fumecheng-10736	713	12	d.l	d.l	PROPN
fumecheng-10736	713	13	.	.	PROPN
fumecheng-10736	713	14	,	,	PUNCT
fumecheng-10736	713	15	2015	2015	NUM
fumecheng-10736	713	16	,	,	PUNCT
fumecheng-10736	713	17	vibration	vibration	NOUN
fumecheng-10736	713	18	analysis	analysis	NOUN
fumecheng-10736	713	19	of	of	ADP
fumecheng-10736	713	20	nano	nano	NOUN
fumecheng-10736	713	21	-	-	PUNCT
fumecheng-10736	713	22	beam	beam	NOUN
fumecheng-10736	713	23	with	with	ADP
fumecheng-10736	713	24	consideration	consideration	NOUN
fumecheng-10736	713	25	of	of	ADP
fumecheng-10736	713	26	surface	surface	NOUN
fumecheng-10736	713	27	effects	effect	NOUN
fumecheng-10736	713	28	and	and	CCONJ
fumecheng-10736	713	29	damage	damage	NOUN
fumecheng-10736	713	30	effects	effect	NOUN
fumecheng-10736	713	31	,	,	PUNCT
fumecheng-10736	713	32	nonlinear	nonlinear	ADJ
fumecheng-10736	713	33	engineering	engineering	NOUN
fumecheng-10736	713	34	,	,	PUNCT
fumecheng-10736	713	35	4(1	4(1	NOUN
fumecheng-10736	713	36	)	)	PUNCT
fumecheng-10736	713	37	,	,	PUNCT
fumecheng-10736	713	38	pp	pp	PROPN
fumecheng-10736	713	39	.	.	PUNCT
fumecheng-10736	714	1	61	61	NUM
fumecheng-10736	714	2	-	-	SYM
fumecheng-10736	714	3	66	66	NUM
fumecheng-10736	714	4	.	.	PUNCT
fumecheng-10736	715	1	63	63	NUM
fumecheng-10736	715	2	.	.	PUNCT
fumecheng-10736	716	1	limkatanyu	limkatanyu	PROPN
fumecheng-10736	716	2	,	,	PUNCT
fumecheng-10736	716	3	s.	s.	PROPN
fumecheng-10736	716	4	,	,	PUNCT
fumecheng-10736	716	5	damrongwiriyanupap	damrongwiriyanupap	PROPN
fumecheng-10736	716	6	,	,	PUNCT
fumecheng-10736	716	7	n.	n.	NOUN
fumecheng-10736	716	8	,	,	PUNCT
fumecheng-10736	716	9	prachasaree	prachasaree	PROPN
fumecheng-10736	716	10	,	,	PUNCT
fumecheng-10736	716	11	w.	w.	PROPN
fumecheng-10736	716	12	,	,	PUNCT
fumecheng-10736	716	13	sae	sae	PROPN
fumecheng-10736	716	14	-	-	PROPN
fumecheng-10736	716	15	long	long	ADV
fumecheng-10736	716	16	,	,	PUNCT
fumecheng-10736	716	17	w.	w.	NOUN
fumecheng-10736	716	18	,	,	PUNCT
fumecheng-10736	716	19	2013	2013	NUM
fumecheng-10736	716	20	,	,	PUNCT
fumecheng-10736	716	21	modeling	modeling	NOUN
fumecheng-10736	716	22	of	of	ADP
fumecheng-10736	716	23	axially	axially	ADV
fumecheng-10736	716	24	loaded	load	VERB
fumecheng-10736	716	25	nanowires	nanowire	NOUN
fumecheng-10736	716	26	embedded	embed	VERB
fumecheng-10736	716	27	in	in	ADP
fumecheng-10736	716	28	elastic	elastic	ADJ
fumecheng-10736	716	29	substrate	substrate	NOUN
fumecheng-10736	716	30	media	medium	NOUN
fumecheng-10736	716	31	with	with	ADP
fumecheng-10736	716	32	inclusion	inclusion	NOUN
fumecheng-10736	716	33	of	of	ADP
fumecheng-10736	716	34	nonlocal	nonlocal	ADJ
fumecheng-10736	716	35	and	and	CCONJ
fumecheng-10736	716	36	surface	surface	NOUN
fumecheng-10736	716	37	effects	effect	NOUN
fumecheng-10736	716	38	,	,	PUNCT
fumecheng-10736	716	39	journal	journal	NOUN
fumecheng-10736	716	40	of	of	ADP
fumecheng-10736	716	41	nanomaterials	nanomaterial	NOUN
fumecheng-10736	716	42	,	,	PUNCT
fumecheng-10736	716	43	635428	635428	NUM
fumecheng-10736	716	44	.	.	PUNCT
fumecheng-10736	717	1	64	64	NUM
fumecheng-10736	717	2	.	.	PUNCT
fumecheng-10736	718	1	azizi	azizi	PROPN
fumecheng-10736	718	2	,	,	PUNCT
fumecheng-10736	718	3	s.	s.	PROPN
fumecheng-10736	718	4	,	,	PUNCT
fumecheng-10736	718	5	safaei	safaei	PROPN
fumecheng-10736	718	6	,	,	PUNCT
fumecheng-10736	718	7	b.	b.	PROPN
fumecheng-10736	718	8	,	,	PUNCT
fumecheng-10736	718	9	fattahi	fattahi	PROPN
fumecheng-10736	718	10	,	,	PUNCT
fumecheng-10736	718	11	a.m.	a.m.	ADV
fumecheng-10736	718	12	,	,	PUNCT
fumecheng-10736	718	13	tekere	tekere	NOUN
fumecheng-10736	718	14	,	,	PUNCT
fumecheng-10736	718	15	m.	m.	NOUN
fumecheng-10736	718	16	,	,	PUNCT
fumecheng-10736	718	17	2015	2015	NUM
fumecheng-10736	718	18	,	,	PUNCT
fumecheng-10736	718	19	nonlinear	nonlinear	ADJ
fumecheng-10736	718	20	vibrational	vibrational	ADJ
fumecheng-10736	718	21	analysis	analysis	NOUN
fumecheng-10736	718	22	of	of	ADP
fumecheng-10736	718	23	nanobeams	nanobeam	NOUN
fumecheng-10736	718	24	embedded	embed	VERB
fumecheng-10736	718	25	in	in	ADP
fumecheng-10736	718	26	an	an	DET
fumecheng-10736	718	27	elastic	elastic	ADJ
fumecheng-10736	718	28	medium	medium	NOUN
fumecheng-10736	718	29	including	include	VERB
fumecheng-10736	718	30	surface	surface	NOUN
fumecheng-10736	718	31	stress	stress	NOUN
fumecheng-10736	718	32	effects	effect	NOUN
fumecheng-10736	718	33	,	,	PUNCT
fumecheng-10736	718	34	advances	advance	NOUN
fumecheng-10736	718	35	in	in	ADP
fumecheng-10736	718	36	materials	material	NOUN
fumecheng-10736	718	37	science	science	NOUN
fumecheng-10736	718	38	and	and	CCONJ
fumecheng-10736	718	39	engineering	engineering	NOUN
fumecheng-10736	718	40	,	,	PUNCT
fumecheng-10736	718	41	318539	318539	NUM
fumecheng-10736	718	42	.	.	PUNCT
fumecheng-10736	719	1	65	65	NUM
fumecheng-10736	719	2	.	.	PUNCT
fumecheng-10736	719	3	niknam	niknam	PROPN
fumecheng-10736	719	4	,	,	PUNCT
fumecheng-10736	719	5	h.	h.	PROPN
fumecheng-10736	719	6	,	,	PUNCT
fumecheng-10736	719	7	aghdam	aghdam	NOUN
fumecheng-10736	719	8	,	,	PUNCT
fumecheng-10736	719	9	m.m	m.m	PROPN
fumecheng-10736	719	10	.	.	PROPN
fumecheng-10736	719	11	,	,	PUNCT
fumecheng-10736	719	12	2015	2015	NUM
fumecheng-10736	719	13	,	,	PUNCT
fumecheng-10736	719	14	a	a	DET
fumecheng-10736	719	15	semi	semi	ADJ
fumecheng-10736	719	16	analytical	analytical	ADJ
fumecheng-10736	719	17	approach	approach	NOUN
fumecheng-10736	719	18	for	for	ADP
fumecheng-10736	719	19	large	large	ADJ
fumecheng-10736	719	20	amplitude	amplitude	NOUN
fumecheng-10736	719	21	free	free	ADJ
fumecheng-10736	719	22	vibration	vibration	NOUN
fumecheng-10736	719	23	and	and	CCONJ
fumecheng-10736	719	24	buckling	buckling	NOUN
fumecheng-10736	719	25	of	of	ADP
fumecheng-10736	719	26	nonlocal	nonlocal	ADJ
fumecheng-10736	719	27	fg	fg	PROPN
fumecheng-10736	719	28	beams	beam	NOUN
fumecheng-10736	719	29	resting	rest	VERB
fumecheng-10736	719	30	on	on	ADP
fumecheng-10736	719	31	elastic	elastic	ADJ
fumecheng-10736	719	32	foundation	foundation	NOUN
fumecheng-10736	719	33	,	,	PUNCT
fumecheng-10736	719	34	composite	composite	ADJ
fumecheng-10736	719	35	structures	structure	NOUN
fumecheng-10736	719	36	,	,	PUNCT
fumecheng-10736	719	37	119	119	NUM
fumecheng-10736	719	38	,	,	PUNCT
fumecheng-10736	719	39	pp	pp	ADJ
fumecheng-10736	719	40	.	.	PUNCT
fumecheng-10736	720	1	452	452	NUM
fumecheng-10736	720	2	-	-	SYM
fumecheng-10736	720	3	462	462	NUM
fumecheng-10736	720	4	.	.	PROPN
fumecheng-10736	721	1	66	66	NUM
fumecheng-10736	721	2	.	.	PUNCT
fumecheng-10736	722	1	demir	demir	PROPN
fumecheng-10736	722	2	,	,	PUNCT
fumecheng-10736	722	3	c.	c.	PROPN
fumecheng-10736	722	4	,	,	PUNCT
fumecheng-10736	722	5	2016	2016	NUM
fumecheng-10736	722	6	,	,	PUNCT
fumecheng-10736	722	7	nonlocal	nonlocal	ADJ
fumecheng-10736	722	8	vibration	vibration	NOUN
fumecheng-10736	722	9	analysis	analysis	NOUN
fumecheng-10736	722	10	for	for	ADP
fumecheng-10736	722	11	micro	micro	NOUN
fumecheng-10736	722	12	/	/	SYM
fumecheng-10736	722	13	nano	nano	NOUN
fumecheng-10736	722	14	beam	beam	NOUN
fumecheng-10736	722	15	on	on	ADP
fumecheng-10736	722	16	winkler	winkler	PROPN
fumecheng-10736	722	17	foundation	foundation	PROPN
fumecheng-10736	722	18	via	via	ADP
fumecheng-10736	722	19	dtm	dtm	PROPN
fumecheng-10736	722	20	,	,	PUNCT
fumecheng-10736	722	21	international	international	ADJ
fumecheng-10736	722	22	journal	journal	NOUN
fumecheng-10736	722	23	of	of	ADP
fumecheng-10736	722	24	engineering	engineering	PROPN
fumecheng-10736	722	25	&	&	CCONJ
fumecheng-10736	722	26	applied	apply	VERB
fumecheng-10736	722	27	sciences	science	NOUN
fumecheng-10736	722	28	,	,	PUNCT
fumecheng-10736	722	29	8(4	8(4	NUM
fumecheng-10736	722	30	)	)	PUNCT
fumecheng-10736	722	31	,	,	PUNCT
fumecheng-10736	722	32	pp	pp	PROPN
fumecheng-10736	722	33	.	.	PUNCT
fumecheng-10736	723	1	108	108	NUM
fumecheng-10736	723	2	-	-	SYM
fumecheng-10736	723	3	118	118	NUM
fumecheng-10736	723	4	.	.	NOUN
fumecheng-10736	723	5	67	67	NUM
fumecheng-10736	723	6	.	.	PUNCT
fumecheng-10736	723	7	ponbunyanon	ponbunyanon	PROPN
fumecheng-10736	723	8	,	,	PUNCT
fumecheng-10736	723	9	p.	p.	NOUN
fumecheng-10736	723	10	,	,	PUNCT
fumecheng-10736	723	11	limkatanyu	limkatanyu	PROPN
fumecheng-10736	723	12	,	,	PUNCT
fumecheng-10736	723	13	s.	s.	PROPN
fumecheng-10736	723	14	,	,	PUNCT
fumecheng-10736	723	15	kaewjuea	kaewjuea	PROPN
fumecheng-10736	723	16	,	,	PUNCT
fumecheng-10736	723	17	w.	w.	PROPN
fumecheng-10736	723	18	,	,	PUNCT
fumecheng-10736	723	19	prachasaree	prachasaree	PROPN
fumecheng-10736	723	20	,	,	PUNCT
fumecheng-10736	723	21	w.	w.	PROPN
fumecheng-10736	723	22	,	,	PUNCT
fumecheng-10736	723	23	chub	chub	NOUN
fumecheng-10736	723	24	-	-	PUNCT
fumecheng-10736	723	25	uppakarn	uppakarn	NOUN
fumecheng-10736	723	26	,	,	PUNCT
fumecheng-10736	723	27	t.	t.	NOUN
fumecheng-10736	723	28	,	,	PUNCT
fumecheng-10736	723	29	2016	2016	NUM
fumecheng-10736	723	30	,	,	PUNCT
fumecheng-10736	723	31	a	a	DET
fumecheng-10736	723	32	novel	novel	ADJ
fumecheng-10736	723	33	beamelastic	beamelastic	ADJ
fumecheng-10736	723	34	substrate	substrate	NOUN
fumecheng-10736	723	35	model	model	NOUN
fumecheng-10736	723	36	with	with	ADP
fumecheng-10736	723	37	inclusion	inclusion	NOUN
fumecheng-10736	723	38	of	of	ADP
fumecheng-10736	723	39	nonlocal	nonlocal	ADJ
fumecheng-10736	723	40	elasticity	elasticity	NOUN
fumecheng-10736	723	41	and	and	CCONJ
fumecheng-10736	723	42	surface	surface	NOUN
fumecheng-10736	723	43	energy	energy	NOUN
fumecheng-10736	723	44	effects	effect	NOUN
fumecheng-10736	723	45	,	,	PUNCT
fumecheng-10736	723	46	arabian	arabian	ADJ
fumecheng-10736	723	47	journal	journal	NOUN
fumecheng-10736	723	48	for	for	ADP
fumecheng-10736	723	49	science	science	NOUN
fumecheng-10736	723	50	and	and	CCONJ
fumecheng-10736	723	51	engineering	engineering	NOUN
fumecheng-10736	723	52	,	,	PUNCT
fumecheng-10736	723	53	41	41	NUM
fumecheng-10736	723	54	,	,	PUNCT
fumecheng-10736	723	55	pp	pp	ADJ
fumecheng-10736	723	56	.	.	PUNCT
fumecheng-10736	724	1	4099	4099	NUM
fumecheng-10736	724	2	-	-	SYM
fumecheng-10736	724	3	4113	4113	NUM
fumecheng-10736	724	4	.	.	PUNCT
fumecheng-10736	725	1	68	68	NUM
fumecheng-10736	725	2	.	.	PUNCT
fumecheng-10736	726	1	jena	jena	PROPN
fumecheng-10736	726	2	,	,	PUNCT
fumecheng-10736	726	3	s.k	s.k	PROPN
fumecheng-10736	726	4	.	.	PROPN
fumecheng-10736	726	5	,	,	PUNCT
fumecheng-10736	726	6	chakraverty	chakraverty	PROPN
fumecheng-10736	726	7	,	,	PUNCT
fumecheng-10736	726	8	s.	s.	PROPN
fumecheng-10736	726	9	,	,	PUNCT
fumecheng-10736	726	10	tornabene	tornabene	NOUN
fumecheng-10736	726	11	,	,	PUNCT
fumecheng-10736	726	12	f.	f.	PROPN
fumecheng-10736	726	13	,	,	PUNCT
fumecheng-10736	726	14	2019	2019	NUM
fumecheng-10736	726	15	,	,	PUNCT
fumecheng-10736	726	16	dynamical	dynamical	ADJ
fumecheng-10736	726	17	behavior	behavior	NOUN
fumecheng-10736	726	18	of	of	ADP
fumecheng-10736	726	19	nanobeam	nanobeam	NOUN
fumecheng-10736	726	20	embedded	embed	VERB
fumecheng-10736	726	21	in	in	ADP
fumecheng-10736	726	22	constant	constant	ADJ
fumecheng-10736	726	23	,	,	PUNCT
fumecheng-10736	726	24	linear	linear	ADJ
fumecheng-10736	726	25	,	,	PUNCT
fumecheng-10736	726	26	parabolic	parabolic	ADJ
fumecheng-10736	726	27	,	,	PUNCT
fumecheng-10736	726	28	and	and	CCONJ
fumecheng-10736	726	29	sinusoidal	sinusoidal	ADJ
fumecheng-10736	726	30	types	type	NOUN
fumecheng-10736	726	31	of	of	ADP
fumecheng-10736	726	32	winkler	winkler	NOUN
fumecheng-10736	726	33	elastic	elastic	ADJ
fumecheng-10736	726	34	foundation	foundation	NOUN
fumecheng-10736	726	35	using	use	VERB
fumecheng-10736	726	36	first	first	ADJ
fumecheng-10736	726	37	-	-	PUNCT
fumecheng-10736	726	38	order	order	NOUN
fumecheng-10736	726	39	nonlocal	nonlocal	ADJ
fumecheng-10736	726	40	strain	strain	NOUN
fumecheng-10736	726	41	gradient	gradient	NOUN
fumecheng-10736	726	42	model	model	NOUN
fumecheng-10736	726	43	,	,	PUNCT
fumecheng-10736	726	44	materials	material	NOUN
fumecheng-10736	726	45	research	research	NOUN
fumecheng-10736	726	46	express	express	ADJ
fumecheng-10736	726	47	,	,	PUNCT
fumecheng-10736	726	48	6(8	6(8	NUM
fumecheng-10736	726	49	)	)	PUNCT
fumecheng-10736	726	50	,	,	PUNCT
fumecheng-10736	726	51	0850f2	0850f2	NOUN
fumecheng-10736	726	52	.	.	PROPN
fumecheng-10736	726	53	69	69	NUM
fumecheng-10736	726	54	.	.	PUNCT
fumecheng-10736	727	1	wolfram	wolfram	PROPN
fumecheng-10736	727	2	,	,	PUNCT
fumecheng-10736	727	3	s.	s.	PROPN
fumecheng-10736	727	4	,	,	PUNCT
fumecheng-10736	727	5	1992	1992	NUM
fumecheng-10736	727	6	,	,	PUNCT
fumecheng-10736	727	7	mathematica	mathematica	PROPN
fumecheng-10736	727	8	reference	reference	PROPN
fumecheng-10736	727	9	guide	guide	NOUN
fumecheng-10736	727	10	,	,	PUNCT
fumecheng-10736	727	11	addison	addison	PROPN
fumecheng-10736	727	12	-	-	PUNCT
fumecheng-10736	727	13	wesley	wesley	PROPN
fumecheng-10736	727	14	publishing	publishing	PROPN
fumecheng-10736	727	15	company	company	NOUN
fumecheng-10736	727	16	,	,	PUNCT
fumecheng-10736	727	17	redwood	redwood	NOUN
fumecheng-10736	727	18	city	city	PROPN
fumecheng-10736	727	19	,	,	PUNCT
fumecheng-10736	727	20	california	california	PROPN
fumecheng-10736	727	21	,	,	PUNCT
fumecheng-10736	727	22	usa	usa	PROPN
fumecheng-10736	727	23	.	.	PROPN
fumecheng-10736	727	24	70	70	NUM
fumecheng-10736	727	25	.	.	X
fumecheng-10736	728	1	bauchau	bauchau	PROPN
fumecheng-10736	728	2	,	,	PUNCT
fumecheng-10736	728	3	o.a	o.a	PROPN
fumecheng-10736	728	4	.	.	PROPN
fumecheng-10736	728	5	,	,	PUNCT
fumecheng-10736	728	6	craig	craig	PROPN
fumecheng-10736	728	7	,	,	PUNCT
fumecheng-10736	728	8	j.i	j.i	PROPN
fumecheng-10736	728	9	.	.	PROPN
fumecheng-10736	728	10	,	,	PUNCT
fumecheng-10736	728	11	2009	2009	NUM
fumecheng-10736	728	12	,	,	PUNCT
fumecheng-10736	728	13	structural	structural	ADJ
fumecheng-10736	728	14	analysis	analysis	NOUN
fumecheng-10736	728	15	,	,	PUNCT
fumecheng-10736	728	16	springer	springer	NOUN
fumecheng-10736	728	17	,	,	PUNCT
fumecheng-10736	728	18	dordrecht	dordrecht	PROPN
fumecheng-10736	728	19	,	,	PUNCT
fumecheng-10736	728	20	netherlands	netherlands	PROPN
fumecheng-10736	728	21	.	.	PUNCT
fumecheng-10736	729	1	71	71	NUM
fumecheng-10736	729	2	.	.	X
fumecheng-10736	729	3	fleck	fleck	PROPN
fumecheng-10736	729	4	,	,	PUNCT
fumecheng-10736	729	5	n.a	n.a	PROPN
fumecheng-10736	729	6	.	.	PROPN
fumecheng-10736	729	7	,	,	PUNCT
fumecheng-10736	729	8	hutchinson	hutchinson	PROPN
fumecheng-10736	729	9	,	,	PUNCT
fumecheng-10736	729	10	j.w	j.w	PROPN
fumecheng-10736	729	11	.	.	PROPN
fumecheng-10736	729	12	,	,	PUNCT
fumecheng-10736	729	13	1997	1997	NUM
fumecheng-10736	729	14	,	,	PUNCT
fumecheng-10736	729	15	strain	strain	VERB
fumecheng-10736	729	16	gradient	gradient	NOUN
fumecheng-10736	729	17	plasticity	plasticity	NOUN
fumecheng-10736	729	18	,	,	PUNCT
fumecheng-10736	729	19	advances	advance	NOUN
fumecheng-10736	729	20	in	in	ADP
fumecheng-10736	729	21	applied	apply	VERB
fumecheng-10736	729	22	mechanics	mechanic	NOUN
fumecheng-10736	729	23	,	,	PUNCT
fumecheng-10736	729	24	33	33	NUM
fumecheng-10736	729	25	,	,	PUNCT
fumecheng-10736	729	26	pp	pp	ADJ
fumecheng-10736	729	27	.	.	PUNCT
fumecheng-10736	730	1	295	295	NUM
fumecheng-10736	730	2	-	-	SYM
fumecheng-10736	730	3	361	361	NUM
fumecheng-10736	730	4	.	.	PUNCT
fumecheng-10736	731	1	72	72	NUM
fumecheng-10736	731	2	.	.	PUNCT
fumecheng-10736	732	1	miller	miller	PROPN
fumecheng-10736	732	2	,	,	PUNCT
fumecheng-10736	732	3	r.e	r.e	PROPN
fumecheng-10736	732	4	.	.	PROPN
fumecheng-10736	732	5	,	,	PUNCT
fumecheng-10736	732	6	shenoy	shenoy	PROPN
fumecheng-10736	732	7	,	,	PUNCT
fumecheng-10736	732	8	v.b	v.b	PROPN
fumecheng-10736	732	9	.	.	PROPN
fumecheng-10736	732	10	,	,	PUNCT
fumecheng-10736	732	11	2000	2000	NUM
fumecheng-10736	732	12	,	,	PUNCT
fumecheng-10736	732	13	size	size	NOUN
fumecheng-10736	732	14	-	-	PUNCT
fumecheng-10736	732	15	dependent	dependent	ADJ
fumecheng-10736	732	16	elastic	elastic	ADJ
fumecheng-10736	732	17	properties	property	NOUN
fumecheng-10736	732	18	of	of	ADP
fumecheng-10736	732	19	nanosized	nanosized	ADJ
fumecheng-10736	732	20	structural	structural	ADJ
fumecheng-10736	732	21	elements	element	NOUN
fumecheng-10736	732	22	,	,	PUNCT
fumecheng-10736	732	23	nanotechnology	nanotechnology	NOUN
fumecheng-10736	732	24	,	,	PUNCT
fumecheng-10736	732	25	11(3	11(3	NUM
fumecheng-10736	732	26	)	)	PUNCT
fumecheng-10736	732	27	,	,	PUNCT
fumecheng-10736	733	1	pp	pp	ADP
fumecheng-10736	733	2	.	.	PUNCT
fumecheng-10736	734	1	139	139	NUM
fumecheng-10736	734	2	-	-	SYM
fumecheng-10736	734	3	147	147	NUM
fumecheng-10736	734	4	.	.	PUNCT
fumecheng-10736	735	1	73	73	NUM
fumecheng-10736	735	2	.	.	PUNCT
fumecheng-10736	736	1	winkler	winkler	PROPN
fumecheng-10736	736	2	,	,	PUNCT
fumecheng-10736	736	3	e.	e.	PROPN
fumecheng-10736	736	4	,	,	PUNCT
fumecheng-10736	736	5	1867	1867	NUM
fumecheng-10736	736	6	,	,	PUNCT
fumecheng-10736	736	7	die	die	VERB
fumecheng-10736	736	8	lehre	lehre	PROPN
fumecheng-10736	736	9	von	von	PROPN
fumecheng-10736	736	10	der	der	PROPN
fumecheng-10736	736	11	und	und	VERB
fumecheng-10736	736	12	festigkeit	festigkeit	NOUN
fumecheng-10736	736	13	,	,	PUNCT
fumecheng-10736	736	14	dominicus	dominicus	NOUN
fumecheng-10736	736	15	,	,	PUNCT
fumecheng-10736	736	16	prague	prague	PROPN
fumecheng-10736	736	17	,	,	PUNCT
fumecheng-10736	736	18	czechoslovakia	czechoslovakia	PROPN
fumecheng-10736	736	19	.	.	PUNCT
fumecheng-10736	737	1	74	74	NUM
fumecheng-10736	737	2	.	.	PUNCT
fumecheng-10736	738	1	morfidis	morfidis	NOUN
fumecheng-10736	738	2	,	,	PUNCT
fumecheng-10736	738	3	k.	k.	PROPN
fumecheng-10736	738	4	,	,	PUNCT
fumecheng-10736	738	5	2003	2003	NUM
fumecheng-10736	738	6	,	,	PUNCT
fumecheng-10736	738	7	research	research	NOUN
fumecheng-10736	738	8	and	and	CCONJ
fumecheng-10736	738	9	development	development	NOUN
fumecheng-10736	738	10	of	of	ADP
fumecheng-10736	738	11	methods	method	NOUN
fumecheng-10736	738	12	for	for	ADP
fumecheng-10736	738	13	the	the	DET
fumecheng-10736	738	14	modeling	modeling	NOUN
fumecheng-10736	738	15	of	of	ADP
fumecheng-10736	738	16	foundation	foundation	NOUN
fumecheng-10736	738	17	structural	structural	ADJ
fumecheng-10736	738	18	elements	element	NOUN
fumecheng-10736	738	19	and	and	CCONJ
fumecheng-10736	738	20	soil	soil	NOUN
fumecheng-10736	738	21	,	,	PUNCT
fumecheng-10736	738	22	phd	phd	NOUN
fumecheng-10736	738	23	dissertation	dissertation	NOUN
fumecheng-10736	738	24	,	,	PUNCT
fumecheng-10736	738	25	department	department	NOUN
fumecheng-10736	738	26	of	of	ADP
fumecheng-10736	738	27	civil	civil	ADJ
fumecheng-10736	738	28	engineering	engineering	NOUN
fumecheng-10736	738	29	,	,	PUNCT
fumecheng-10736	738	30	aristotle	aristotle	PROPN
fumecheng-10736	738	31	university	university	PROPN
fumecheng-10736	738	32	of	of	ADP
fumecheng-10736	738	33	thessaloniki	thessaloniki	PROPN
fumecheng-10736	738	34	.	.	PUNCT
fumecheng-10736	739	1	75	75	NUM
fumecheng-10736	739	2	.	.	PUNCT
fumecheng-10736	740	1	avramidis	avramidi	NOUN
fumecheng-10736	740	2	,	,	PUNCT
fumecheng-10736	740	3	i.e.	i.e.	X
fumecheng-10736	740	4	,	,	PUNCT
fumecheng-10736	740	5	morfidis	morfidi	NOUN
fumecheng-10736	740	6	,	,	PUNCT
fumecheng-10736	740	7	k.	k.	PROPN
fumecheng-10736	740	8	,	,	PUNCT
fumecheng-10736	740	9	2006	2006	NUM
fumecheng-10736	740	10	,	,	PUNCT
fumecheng-10736	740	11	bending	bend	VERB
fumecheng-10736	740	12	of	of	ADP
fumecheng-10736	740	13	beams	beam	NOUN
fumecheng-10736	740	14	on	on	ADP
fumecheng-10736	740	15	three	three	NUM
fumecheng-10736	740	16	-	-	PUNCT
fumecheng-10736	740	17	parameter	parameter	NOUN
fumecheng-10736	740	18	elastic	elastic	ADJ
fumecheng-10736	740	19	foundation	foundation	NOUN
fumecheng-10736	740	20	,	,	PUNCT
fumecheng-10736	740	21	international	international	ADJ
fumecheng-10736	740	22	journal	journal	NOUN
fumecheng-10736	740	23	of	of	ADP
fumecheng-10736	740	24	solids	solid	NOUN
fumecheng-10736	740	25	and	and	CCONJ
fumecheng-10736	740	26	structures	structure	NOUN
fumecheng-10736	740	27	,	,	PUNCT
fumecheng-10736	740	28	43(2	43(2	NUM
fumecheng-10736	740	29	)	)	PUNCT
fumecheng-10736	740	30	,	,	PUNCT
fumecheng-10736	740	31	pp	pp	PROPN
fumecheng-10736	740	32	.	.	PUNCT
fumecheng-10736	741	1	357	357	NUM
fumecheng-10736	741	2	-	-	SYM
fumecheng-10736	741	3	375	375	NUM
fumecheng-10736	741	4	.	.	PUNCT
fumecheng-10736	742	1	76	76	NUM
fumecheng-10736	742	2	.	.	PUNCT
fumecheng-10736	743	1	cuenot	cuenot	PROPN
fumecheng-10736	743	2	,	,	PUNCT
fumecheng-10736	743	3	s.	s.	PROPN
fumecheng-10736	743	4	,	,	PUNCT
fumecheng-10736	743	5	frétigny	frétigny	PROPN
fumecheng-10736	743	6	,	,	PUNCT
fumecheng-10736	743	7	c.	c.	NOUN
fumecheng-10736	743	8	,	,	PUNCT
fumecheng-10736	743	9	demoustier	demoustier	NOUN
fumecheng-10736	743	10	-	-	PUNCT
fumecheng-10736	743	11	champagne	champagne	NOUN
fumecheng-10736	743	12	,	,	PUNCT
fumecheng-10736	743	13	s.	s.	PROPN
fumecheng-10736	743	14	,	,	PUNCT
fumecheng-10736	743	15	nysten	nysten	VERB
fumecheng-10736	743	16	,	,	PUNCT
fumecheng-10736	743	17	b.	b.	PROPN
fumecheng-10736	743	18	,	,	PUNCT
fumecheng-10736	743	19	2004	2004	NUM
fumecheng-10736	743	20	,	,	PUNCT
fumecheng-10736	743	21	surface	surface	NOUN
fumecheng-10736	743	22	tension	tension	NOUN
fumecheng-10736	743	23	effect	effect	NOUN
fumecheng-10736	743	24	on	on	ADP
fumecheng-10736	743	25	the	the	DET
fumecheng-10736	743	26	mechanical	mechanical	ADJ
fumecheng-10736	743	27	properties	property	NOUN
fumecheng-10736	743	28	of	of	ADP
fumecheng-10736	743	29	nanomaterials	nanomaterial	NOUN
fumecheng-10736	743	30	measured	measure	VERB
fumecheng-10736	743	31	by	by	ADP
fumecheng-10736	743	32	atomic	atomic	ADJ
fumecheng-10736	743	33	force	force	NOUN
fumecheng-10736	743	34	microscopy	microscopy	NOUN
fumecheng-10736	743	35	,	,	PUNCT
fumecheng-10736	743	36	physical	physical	ADJ
fumecheng-10736	743	37	review	review	NOUN
fumecheng-10736	743	38	b	b	PROPN
fumecheng-10736	743	39	,	,	PUNCT
fumecheng-10736	743	40	69	69	NUM
fumecheng-10736	743	41	,	,	PUNCT
fumecheng-10736	743	42	165410	165410	NUM
fumecheng-10736	743	43	.	.	PUNCT
fumecheng-10736	744	1	77	77	NUM
fumecheng-10736	744	2	.	.	PUNCT
fumecheng-10736	745	1	wan	wan	PROPN
fumecheng-10736	745	2	,	,	PUNCT
fumecheng-10736	745	3	j.	j.	PROPN
fumecheng-10736	745	4	,	,	PUNCT
fumecheng-10736	745	5	fan	fan	PROPN
fumecheng-10736	745	6	,	,	PUNCT
fumecheng-10736	745	7	y.l	y.l	PROPN
fumecheng-10736	745	8	.	.	PROPN
fumecheng-10736	745	9	,	,	PUNCT
fumecheng-10736	745	10	gong	gong	PROPN
fumecheng-10736	745	11	,	,	PUNCT
fumecheng-10736	745	12	d.w	d.w	PROPN
fumecheng-10736	745	13	.	.	PROPN
fumecheng-10736	745	14	,	,	PUNCT
fumecheng-10736	745	15	shen	shen	PROPN
fumecheng-10736	745	16	,	,	PUNCT
fumecheng-10736	745	17	s.g	s.g	PROPN
fumecheng-10736	745	18	.	.	PROPN
fumecheng-10736	745	19	,	,	PUNCT
fumecheng-10736	745	20	fan	fan	PROPN
fumecheng-10736	745	21	,	,	PUNCT
fumecheng-10736	745	22	x.q	x.q	PROPN
fumecheng-10736	745	23	.	.	PROPN
fumecheng-10736	745	24	,	,	PUNCT
fumecheng-10736	745	25	1999	1999	NUM
fumecheng-10736	745	26	,	,	PUNCT
fumecheng-10736	745	27	surface	surface	NOUN
fumecheng-10736	745	28	relaxation	relaxation	NOUN
fumecheng-10736	745	29	and	and	CCONJ
fumecheng-10736	745	30	stress	stress	NOUN
fumecheng-10736	745	31	of	of	ADP
fumecheng-10736	745	32	fcc	fcc	PROPN
fumecheng-10736	745	33	metals	metal	NOUN
fumecheng-10736	745	34	:	:	PUNCT
fumecheng-10736	745	35	cu	cu	PROPN
fumecheng-10736	745	36	,	,	PUNCT
fumecheng-10736	745	37	ag	ag	PROPN
fumecheng-10736	745	38	,	,	PUNCT
fumecheng-10736	745	39	au	au	PROPN
fumecheng-10736	745	40	,	,	PUNCT
fumecheng-10736	745	41	ni	ni	PROPN
fumecheng-10736	745	42	,	,	PUNCT
fumecheng-10736	745	43	pd	pd	PROPN
fumecheng-10736	745	44	,	,	PUNCT
fumecheng-10736	745	45	pt	pt	PROPN
fumecheng-10736	745	46	,	,	PUNCT
fumecheng-10736	745	47	al	al	PROPN
fumecheng-10736	745	48	and	and	CCONJ
fumecheng-10736	745	49	pb	pb	ADP
fumecheng-10736	745	50	,	,	PUNCT
fumecheng-10736	745	51	modelling	modelling	NOUN
fumecheng-10736	745	52	and	and	CCONJ
fumecheng-10736	745	53	simulation	simulation	NOUN
fumecheng-10736	745	54	in	in	ADP
fumecheng-10736	745	55	materials	material	NOUN
fumecheng-10736	745	56	science	science	NOUN
fumecheng-10736	745	57	and	and	CCONJ
fumecheng-10736	745	58	engineering	engineering	NOUN
fumecheng-10736	745	59	,	,	PUNCT
fumecheng-10736	745	60	7(2	7(2	NUM
fumecheng-10736	745	61	)	)	PUNCT
fumecheng-10736	745	62	,	,	PUNCT
fumecheng-10736	745	63	pp	pp	ADP
fumecheng-10736	745	64	.	.	PUNCT
fumecheng-10736	745	65	189	189	NUM
fumecheng-10736	745	66	-	-	SYM
fumecheng-10736	745	67	206	206	NUM
fumecheng-10736	745	68	.	.	PUNCT
fumecheng-10736	746	1	78	78	NUM
fumecheng-10736	746	2	.	.	PUNCT
fumecheng-10736	747	1	nilsson	nilsson	PROPN
fumecheng-10736	747	2	,	,	PUNCT
fumecheng-10736	747	3	s.g	s.g	PROPN
fumecheng-10736	747	4	.	.	PROPN
fumecheng-10736	747	5	,	,	PUNCT
fumecheng-10736	747	6	sarwe	sarwe	NOUN
fumecheng-10736	747	7	,	,	PUNCT
fumecheng-10736	747	8	e.-l	e.-l	PROPN
fumecheng-10736	747	9	.	.	PUNCT
fumecheng-10736	747	10	,	,	PUNCT
fumecheng-10736	747	11	montelius	montelius	NOUN
fumecheng-10736	747	12	,	,	PUNCT
fumecheng-10736	747	13	l.	l.	PROPN
fumecheng-10736	747	14	,	,	PUNCT
fumecheng-10736	747	15	2003	2003	NUM
fumecheng-10736	747	16	,	,	PUNCT
fumecheng-10736	747	17	fabrication	fabrication	NOUN
fumecheng-10736	747	18	and	and	CCONJ
fumecheng-10736	747	19	mechanical	mechanical	ADJ
fumecheng-10736	747	20	characterization	characterization	NOUN
fumecheng-10736	747	21	of	of	ADP
fumecheng-10736	747	22	ultrashort	ultrashort	NOUN
fumecheng-10736	747	23	nanocantilevers	nanocantilever	NOUN
fumecheng-10736	747	24	,	,	PUNCT
fumecheng-10736	747	25	aip	aip	PROPN
fumecheng-10736	747	26	applied	apply	VERB
fumecheng-10736	747	27	physics	physics	NOUN
fumecheng-10736	747	28	letters	letter	NOUN
fumecheng-10736	747	29	,	,	PUNCT
fumecheng-10736	747	30	83(5	83(5	NOUN
fumecheng-10736	747	31	)	)	PUNCT
fumecheng-10736	747	32	,	,	PUNCT
fumecheng-10736	747	33	pp	pp	ADP
fumecheng-10736	747	34	.	.	PUNCT
fumecheng-10736	748	1	990	990	NUM
fumecheng-10736	748	2	-	-	SYM
fumecheng-10736	748	3	993	993	NUM
fumecheng-10736	748	4	.	.	PUNCT
fumecheng-10736	749	1	79	79	NUM
fumecheng-10736	749	2	.	.	PUNCT
fumecheng-10736	750	1	liew	liew	PROPN
fumecheng-10736	750	2	,	,	PUNCT
fumecheng-10736	750	3	k.m	k.m	PROPN
fumecheng-10736	750	4	.	.	PROPN
fumecheng-10736	750	5	,	,	PUNCT
fumecheng-10736	750	6	he	he	PRON
fumecheng-10736	750	7	,	,	PUNCT
fumecheng-10736	750	8	x.q	x.q	PROPN
fumecheng-10736	750	9	.	.	PROPN
fumecheng-10736	750	10	,	,	PUNCT
fumecheng-10736	750	11	kitipornchai	kitipornchai	PROPN
fumecheng-10736	750	12	,	,	PUNCT
fumecheng-10736	750	13	s.	s.	PROPN
fumecheng-10736	750	14	,	,	PUNCT
fumecheng-10736	750	15	2006	2006	NUM
fumecheng-10736	750	16	,	,	PUNCT
fumecheng-10736	750	17	predicting	predict	VERB
fumecheng-10736	750	18	nanovibration	nanovibration	NOUN
fumecheng-10736	750	19	of	of	ADP
fumecheng-10736	750	20	multi	multi	ADJ
fumecheng-10736	750	21	-	-	ADJ
fumecheng-10736	750	22	layered	layered	ADJ
fumecheng-10736	750	23	graphene	graphene	NOUN
fumecheng-10736	750	24	sheets	sheet	NOUN
fumecheng-10736	750	25	embedded	embed	VERB
fumecheng-10736	750	26	in	in	ADP
fumecheng-10736	750	27	an	an	DET
fumecheng-10736	750	28	elastic	elastic	ADJ
fumecheng-10736	750	29	matrix	matrix	NOUN
fumecheng-10736	750	30	,	,	PUNCT
fumecheng-10736	750	31	acta	acta	PROPN
fumecheng-10736	750	32	materialia	materialia	PROPN
fumecheng-10736	750	33	,	,	PUNCT
fumecheng-10736	750	34	54(16	54(16	NOUN
fumecheng-10736	750	35	)	)	PUNCT
fumecheng-10736	750	36	,	,	PUNCT
fumecheng-10736	750	37	pp	pp	PROPN
fumecheng-10736	750	38	.	.	PUNCT
fumecheng-10736	751	1	4229	4229	NUM
fumecheng-10736	751	2	-	-	SYM
fumecheng-10736	751	3	4236	4236	NUM
fumecheng-10736	751	4	.	.	PUNCT
fumecheng-10736	752	1	80	80	NUM
fumecheng-10736	752	2	.	.	X
fumecheng-10736	753	1	zhang	zhang	PROPN
fumecheng-10736	753	2	,	,	PUNCT
fumecheng-10736	753	3	g.	g.	PROPN
fumecheng-10736	753	4	,	,	PUNCT
fumecheng-10736	753	5	zheng	zheng	PROPN
fumecheng-10736	753	6	,	,	PUNCT
fumecheng-10736	753	7	c.	c.	PROPN
fumecheng-10736	753	8	,	,	PUNCT
fumecheng-10736	753	9	mi	mi	PROPN
fumecheng-10736	753	10	,	,	PUNCT
fumecheng-10736	753	11	c.	c.	PROPN
fumecheng-10736	753	12	,	,	PUNCT
fumecheng-10736	753	13	gao	gao	PROPN
fumecheng-10736	753	14	,	,	PUNCT
fumecheng-10736	753	15	x.-l	x.-l	PROPN
fumecheng-10736	753	16	.	.	PUNCT
fumecheng-10736	753	17	,	,	PUNCT
fumecheng-10736	753	18	2021	2021	NUM
fumecheng-10736	753	19	.	.	PUNCT
fumecheng-10736	754	1	a	a	DET
fumecheng-10736	754	2	microstructure	microstructure	ADJ
fumecheng-10736	754	3	-	-	PUNCT
fumecheng-10736	754	4	dependent	dependent	ADJ
fumecheng-10736	754	5	kirchhoff	kirchhoff	NOUN
fumecheng-10736	754	6	plate	plate	NOUN
fumecheng-10736	754	7	model	model	NOUN
fumecheng-10736	754	8	based	base	VERB
fumecheng-10736	754	9	on	on	ADP
fumecheng-10736	754	10	a	a	DET
fumecheng-10736	754	11	reformulated	reformulate	VERB
fumecheng-10736	754	12	strain	strain	NOUN
fumecheng-10736	754	13	gradient	gradient	NOUN
fumecheng-10736	754	14	elasticity	elasticity	NOUN
fumecheng-10736	754	15	theory	theory	NOUN
fumecheng-10736	754	16	,	,	PUNCT
fumecheng-10736	754	17	mechanics	mechanic	NOUN
fumecheng-10736	754	18	of	of	ADP
fumecheng-10736	754	19	advanced	advanced	ADJ
fumecheng-10736	754	20	materials	material	NOUN
fumecheng-10736	754	21	and	and	CCONJ
fumecheng-10736	754	22	structures	structure	NOUN
fumecheng-10736	754	23	.	.	PUNCT
fumecheng-10736	755	1	appendix	appendix	VERB
fumecheng-10736	755	2	a	a	DET
fumecheng-10736	755	3	the	the	DET
fumecheng-10736	755	4	general	general	ADJ
fumecheng-10736	755	5	form	form	NOUN
fumecheng-10736	755	6	of	of	ADP
fumecheng-10736	755	7	the	the	DET
fumecheng-10736	755	8	differential	differential	ADJ
fumecheng-10736	755	9	equation	equation	NOUN
fumecheng-10736	755	10	of	of	ADP
fumecheng-10736	755	11	eqs	eqs	PROPN
fumecheng-10736	755	12	.	.	PUNCT
fumecheng-10736	756	1	(	(	PUNCT
fumecheng-10736	756	2	36	36	NUM
fumecheng-10736	756	3	)	)	PUNCT
fumecheng-10736	756	4	can	can	AUX
fumecheng-10736	756	5	be	be	AUX
fumecheng-10736	756	6	expressed	express	VERB
fumecheng-10736	756	7	as	as	ADP
fumecheng-10736	756	8	:	:	PUNCT
fumecheng-10736	756	9	6	6	NUM
fumecheng-10736	756	10	4	4	NUM
fumecheng-10736	756	11	2	2	NUM
fumecheng-10736	756	12	0	0	NUM
fumecheng-10736	756	13	0	0	NUM
fumecheng-10736	756	14	0	0	NUM
fumecheng-10736	756	15	1	1	NUM
fumecheng-10736	756	16	2	2	NUM
fumecheng-10736	756	17	3	3	NUM
fumecheng-10736	756	18	06	06	NUM
fumecheng-10736	756	19	4	4	NUM
fumecheng-10736	756	20	2	2	NUM
fumecheng-10736	756	21	(	(	PUNCT
fumecheng-10736	756	22	)	)	PUNCT
fumecheng-10736	756	23	(	(	PUNCT
fumecheng-10736	756	24	for	for	ADP
fumecheng-10736	756	25	(	(	PUNCT
fumecheng-10736	756	26	0	0	NUM
fumecheng-10736	756	27	,	,	PUNCT
fumecheng-10736	756	28	)	)	PUNCT
fumecheng-10736	756	29	)	)	PUNCT
fumecheng-10736	757	1	(	(	PUNCT
fumecheng-10736	757	2	)	)	PUNCT
fumecheng-10736	757	3	(	(	PUNCT
fumecheng-10736	757	4	)	)	PUNCT
fumecheng-10736	757	5	0	0	NUM
fumecheng-10736	757	6	v	v	NOUN
fumecheng-10736	757	7	x	x	SYM
fumecheng-10736	757	8	v	v	PROPN
fumecheng-10736	757	9	x	x	SYM
fumecheng-10736	757	10	v	v	PROPN
fumecheng-10736	757	11	x	x	SYM
fumecheng-10736	757	12	v	v	NOUN
fumecheng-10736	757	13	x	x	SYM
fumecheng-10736	757	14	x	x	PUNCT
fumecheng-10736	757	15	x	x	PUNCT
fumecheng-10736	757	16	x	x	SYM
fumecheng-10736	757	17	x	x	SYM
fumecheng-10736	757	18	l	l	PROPN
fumecheng-10736	757	19			ADJ
fumecheng-10736	757	20			ADJ
fumecheng-10736	757	21			ADJ
fumecheng-10736	757	22			ADJ
fumecheng-10736	757	23			PROPN
fumecheng-10736	757	24	+	+	X
fumecheng-10736	757	25	=	=	PRON
fumecheng-10736	757	26	+	+	X
fumecheng-10736	757	27	+	+	CCONJ
fumecheng-10736	757	28			ADJ
fumecheng-10736	757	29			ADJ
fumecheng-10736	757	30			PROPN
fumecheng-10736	757	31	(	(	PUNCT
fumecheng-10736	757	32	a1	a1	PROPN
fumecheng-10736	757	33	)	)	PUNCT
fumecheng-10736	757	34	where	where	SCONJ
fumecheng-10736	757	35	the	the	DET
fumecheng-10736	757	36	parameters	parameter	NOUN
fumecheng-10736	757	37	λ1	λ1	ADJ
fumecheng-10736	757	38	,	,	PUNCT
fumecheng-10736	757	39	λ2	λ2	NOUN
fumecheng-10736	757	40	,	,	PUNCT
fumecheng-10736	757	41	and	and	CCONJ
fumecheng-10736	757	42	λ3	λ3	PROPN
fumecheng-10736	757	43	are	be	AUX
fumecheng-10736	757	44	defined	define	VERB
fumecheng-10736	757	45	as	as	ADP
fumecheng-10736	757	46	:	:	PUNCT
fumecheng-10736	757	47	bending	bend	VERB
fumecheng-10736	757	48	,	,	PUNCT
fumecheng-10736	757	49	buckling	buckling	NOUN
fumecheng-10736	757	50	,	,	PUNCT
fumecheng-10736	757	51	and	and	CCONJ
fumecheng-10736	757	52	free	free	ADJ
fumecheng-10736	757	53	vibration	vibration	NOUN
fumecheng-10736	757	54	analyses	analysis	NOUN
fumecheng-10736	757	55	of	of	ADP
fumecheng-10736	757	56	nanobeam	nanobeam	ADJ
fumecheng-10736	757	57	-	-	PUNCT
fumecheng-10736	757	58	substrate	substrate	NOUN
fumecheng-10736	757	59	medium	medium	NOUN
fumecheng-10736	757	60	systems	system	NOUN
fumecheng-10736	757	61	587	587	NUM
fumecheng-10736	757	62	1	1	NUM
fumecheng-10736	757	63	2	2	NUM
fumecheng-10736	757	64	3	3	NUM
fumecheng-10736	757	65	;	;	PUNCT
fumecheng-10736	757	66	;	;	PUNCT
fumecheng-10736	757	67	(	(	PUNCT
fumecheng-10736	757	68	)	)	PUNCT
fumecheng-10736	757	69	(	(	PUNCT
fumecheng-10736	757	70	)	)	PUNCT
fumecheng-10736	757	71	d	d	NOUN
fumecheng-10736	757	72	(	(	PUNCT
fumecheng-10736	757	73	)	)	PUNCT
fumecheng-10736	757	74	n	n	PROPN
fumecheng-10736	757	75	(	(	PUNCT
fumecheng-10736	757	76	)	)	PUNCT
fumecheng-10736	757	77	a	a	DET
fumecheng-10736	757	78	l	l	NOUN
fumecheng-10736	757	79	sur	sur	PROPN
fumecheng-10736	757	80	eff	eff	PROPN
fumecheng-10736	757	81	res	re	NOUN
fumecheng-10736	757	82	es	es	NOUN
fumecheng-10736	757	83	h	h	NOUN
fumecheng-10736	758	1	h	h	NOUN
fumecheng-10736	759	1	h	h	PROPN
fumecheng-10736	759	2	eff	eff	PROPN
fumecheng-10736	759	3	eff	eff	PROPN
fumecheng-10736	759	4	eff	eff	PROPN
fumecheng-10736	759	5	ei	ei	PROPN
fumecheng-10736	759	6	s	s	PROPN
fumecheng-10736	759	7	k	k	X
fumecheng-10736	759	8	ei	ei	X
fumecheng-10736	759	9	ei	ei	X
fumecheng-10736	759	10	ei	ei	PROPN
fumecheng-10736	759	11			X
fumecheng-10736	759	12			ADJ
fumecheng-10736	759	13			ADJ
fumecheng-10736	759	14			NOUN
fumecheng-10736	759	15	=	=	VERB
fumecheng-10736	759	16	=	=	PUNCT
fumecheng-10736	760	1	=	=	NUM
fumecheng-10736	760	2	−	−	PROPN
fumecheng-10736	760	3	−	−	PROPN
fumecheng-10736	760	4	(	(	PUNCT
fumecheng-10736	760	5	a2	a2	PROPN
fumecheng-10736	760	6	)	)	PUNCT
fumecheng-10736	760	7	for	for	ADP
fumecheng-10736	760	8	the	the	DET
fumecheng-10736	760	9	sake	sake	NOUN
fumecheng-10736	760	10	of	of	ADP
fumecheng-10736	760	11	conciseness	conciseness	NOUN
fumecheng-10736	760	12	,	,	PUNCT
fumecheng-10736	760	13	the	the	DET
fumecheng-10736	760	14	parameters	parameter	NOUN
fumecheng-10736	760	15	λ1	λ1	ADJ
fumecheng-10736	760	16	,	,	PUNCT
fumecheng-10736	760	17	λ2	λ2	NOUN
fumecheng-10736	760	18	,	,	PUNCT
fumecheng-10736	760	19	and	and	CCONJ
fumecheng-10736	760	20	λ3	λ3	PROPN
fumecheng-10736	760	21	are	be	AUX
fumecheng-10736	760	22	rewritten	rewrite	VERB
fumecheng-10736	760	23	in	in	ADP
fumecheng-10736	760	24	terms	term	NOUN
fumecheng-10736	760	25	of	of	ADP
fumecheng-10736	760	26	the	the	DET
fumecheng-10736	760	27	auxiliary	auxiliary	ADJ
fumecheng-10736	760	28	parameters	parameter	NOUN
fumecheng-10736	760	29	for	for	ADP
fumecheng-10736	760	30	the	the	DET
fumecheng-10736	760	31	expression	expression	NOUN
fumecheng-10736	760	32	of	of	ADP
fumecheng-10736	760	33	the	the	DET
fumecheng-10736	760	34	general	general	ADJ
fumecheng-10736	760	35	solution	solution	NOUN
fumecheng-10736	760	36	as	as	ADP
fumecheng-10736	760	37	:	:	PUNCT
fumecheng-10736	760	38	32	32	NUM
fumecheng-10736	760	39	3	3	NUM
fumecheng-10736	760	40	21	21	NUM
fumecheng-10736	760	41	1	1	NUM
fumecheng-10736	760	42	2	2	NUM
fumecheng-10736	760	43	31	31	NUM
fumecheng-10736	760	44	2	2	NUM
fumecheng-10736	760	45	(	(	PUNCT
fumecheng-10736	760	46	2	2	NUM
fumecheng-10736	760	47	/	/	SYM
fumecheng-10736	760	48	27	27	NUM
fumecheng-10736	760	49	)	)	PUNCT
fumecheng-10736	760	50	(	(	PUNCT
fumecheng-10736	760	51	/	/	SYM
fumecheng-10736	760	52	3	3	NUM
fumecheng-10736	760	53	)	)	PUNCT
fumecheng-10736	760	54	(	(	PUNCT
fumecheng-10736	760	55	/	/	SYM
fumecheng-10736	760	56	3	3	NUM
fumecheng-10736	760	57	)	)	PUNCT
fumecheng-10736	760	58	;	;	PUNCT
fumecheng-10736	760	59	;	;	PUNCT
fumecheng-10736	760	60	and	and	CCONJ
fumecheng-10736	760	61	3	3	NUM
fumecheng-10736	760	62	2	2	NUM
fumecheng-10736	760	63			X
fumecheng-10736	760	64			ADJ
fumecheng-10736	760	65			ADJ
fumecheng-10736	760	66			NOUN
fumecheng-10736	760	67			ADJ
fumecheng-10736	760	68			X
fumecheng-10736	760	69			PROPN
fumecheng-10736	760	70			NOUN
fumecheng-10736	760	71			NOUN
fumecheng-10736	760	72	−	−	NOUN
fumecheng-10736	760	73	+	+	NOUN
fumecheng-10736	760	74	−	−	NOUN
fumecheng-10736	760	75	+	+	NOUN
fumecheng-10736	760	76	=	=	SYM
fumecheng-10736	760	77	=	=	SYM
fumecheng-10736	760	78			X
fumecheng-10736	761	1	=	=	SYM
fumecheng-10736	761	2	+	+	CCONJ
fumecheng-10736	761	3	(	(	PUNCT
fumecheng-10736	761	4	a3	a3	NOUN
fumecheng-10736	761	5	)	)	PUNCT
fumecheng-10736	761	6	the	the	DET
fumecheng-10736	761	7	general	general	ADJ
fumecheng-10736	761	8	form	form	NOUN
fumecheng-10736	761	9	of	of	ADP
fumecheng-10736	761	10	homogeneous	homogeneous	ADJ
fumecheng-10736	761	11	solution	solution	NOUN
fumecheng-10736	761	12	of	of	ADP
fumecheng-10736	761	13	eq	eq	PROPN
fumecheng-10736	761	14	.	.	PUNCT
fumecheng-10736	762	1	(	(	PUNCT
fumecheng-10736	762	2	a.1	a.1	NOUN
fumecheng-10736	762	3	)	)	PUNCT
fumecheng-10736	762	4	can	can	AUX
fumecheng-10736	762	5	be	be	AUX
fumecheng-10736	762	6	expressed	express	VERB
fumecheng-10736	762	7	as	as	ADP
fumecheng-10736	762	8	:	:	SYM
fumecheng-10736	762	9	0	0	NUM
fumecheng-10736	763	1	1	1	NUM
fumecheng-10736	763	2	1	1	NUM
fumecheng-10736	763	3	2	2	NUM
fumecheng-10736	763	4	2	2	NUM
fumecheng-10736	763	5	3	3	NUM
fumecheng-10736	763	6	3	3	NUM
fumecheng-10736	763	7	4	4	NUM
fumecheng-10736	763	8	4	4	NUM
fumecheng-10736	763	9	5	5	NUM
fumecheng-10736	763	10	5	5	NUM
fumecheng-10736	763	11	6	6	NUM
fumecheng-10736	763	12	6	6	NUM
fumecheng-10736	763	13	(	(	PUNCT
fumecheng-10736	763	14	)	)	PUNCT
fumecheng-10736	763	15	(	(	PUNCT
fumecheng-10736	763	16	)	)	PUNCT
fumecheng-10736	763	17	(	(	PUNCT
fumecheng-10736	763	18	)	)	PUNCT
fumecheng-10736	763	19	(	(	PUNCT
fumecheng-10736	763	20	)	)	PUNCT
fumecheng-10736	763	21	(	(	PUNCT
fumecheng-10736	763	22	)	)	PUNCT
fumecheng-10736	763	23	(	(	PUNCT
fumecheng-10736	763	24	)	)	PUNCT
fumecheng-10736	763	25	(	(	PUNCT
fumecheng-10736	763	26	)	)	PUNCT
fumecheng-10736	763	27	hv	hv	PROPN
fumecheng-10736	763	28	x	x	X
fumecheng-10736	764	1	x	x	X
fumecheng-10736	764	2	c	c	NOUN
fumecheng-10736	764	3	x	x	X
fumecheng-10736	764	4	c	c	NOUN
fumecheng-10736	764	5	x	x	X
fumecheng-10736	764	6	c	c	NOUN
fumecheng-10736	764	7	x	x	X
fumecheng-10736	764	8	c	c	NOUN
fumecheng-10736	764	9	x	x	X
fumecheng-10736	764	10	c	c	NOUN
fumecheng-10736	764	11	x	x	X
fumecheng-10736	764	12	c	c	X
fumecheng-10736	764	13			ADJ
fumecheng-10736	764	14			ADJ
fumecheng-10736	764	15			ADJ
fumecheng-10736	764	16			PROPN
fumecheng-10736	764	17	=	=	PROPN
fumecheng-10736	764	18	+	+	SYM
fumecheng-10736	764	19	+	+	PUNCT
fumecheng-10736	764	20	+	+	PUNCT
fumecheng-10736	764	21	+	+	PUNCT
fumecheng-10736	764	22	+	+	CCONJ
fumecheng-10736	764	23	(	(	PUNCT
fumecheng-10736	764	24	a4	a4	NOUN
fumecheng-10736	764	25	)	)	PUNCT
fumecheng-10736	764	26	as	as	SCONJ
fumecheng-10736	764	27	suggested	suggest	VERB
fumecheng-10736	764	28	by	by	ADP
fumecheng-10736	764	29	morfidis	morfidi	NOUN
fumecheng-10736	764	30	[	[	X
fumecheng-10736	764	31	74	74	NUM
fumecheng-10736	764	32	]	]	PUNCT
fumecheng-10736	764	33	and	and	CCONJ
fumecheng-10736	764	34	avramidis	avramidi	NOUN
fumecheng-10736	764	35	and	and	CCONJ
fumecheng-10736	764	36	morfidis	morfidi	NOUN
fumecheng-10736	764	37	[	[	X
fumecheng-10736	764	38	75	75	NUM
fumecheng-10736	764	39	]	]	PUNCT
fumecheng-10736	764	40	,	,	PUNCT
fumecheng-10736	764	41	there	there	PRON
fumecheng-10736	764	42	are	be	VERB
fumecheng-10736	764	43	two	two	NUM
fumecheng-10736	764	44	possible	possible	ADJ
fumecheng-10736	764	45	homogeneous	homogeneous	ADJ
fumecheng-10736	764	46	solutions	solution	NOUN
fumecheng-10736	764	47	,	,	PUNCT
fumecheng-10736	764	48	which	which	PRON
fumecheng-10736	764	49	depend	depend	VERB
fumecheng-10736	764	50	on	on	ADP
fumecheng-10736	764	51	the	the	DET
fumecheng-10736	764	52	sign	sign	NOUN
fumecheng-10736	764	53	of	of	ADP
fumecheng-10736	764	54	the	the	DET
fumecheng-10736	764	55	parameter	parameter	NOUN
fumecheng-10736	764	56	δ	δ	PROPN
fumecheng-10736	764	57	as	as	SCONJ
fumecheng-10736	764	58	follows	follow	VERB
fumecheng-10736	764	59	:	:	PUNCT
fumecheng-10736	765	1	solution	solution	NOUN
fumecheng-10736	765	2	case	case	NOUN
fumecheng-10736	765	3	i	i	PRON
fumecheng-10736	765	4	:	:	PUNCT
fumecheng-10736	765	5	when	when	SCONJ
fumecheng-10736	765	6	δ	δ	PROPN
fumecheng-10736	765	7	=	=	PROPN
fumecheng-10736	765	8	α3	α3	PROPN
fumecheng-10736	765	9	+	+	CCONJ
fumecheng-10736	765	10	β2	β2	NOUN
fumecheng-10736	765	11	>	>	X
fumecheng-10736	765	12	0	0	NUM
fumecheng-10736	765	13	1	1	NUM
fumecheng-10736	765	14	1	1	NUM
fumecheng-10736	765	15	1	1	NUM
fumecheng-10736	765	16	2	2	NUM
fumecheng-10736	765	17	3	3	NUM
fumecheng-10736	765	18	4	4	NUM
fumecheng-10736	765	19	5	5	NUM
fumecheng-10736	765	20	6	6	NUM
fumecheng-10736	765	21	(	(	PUNCT
fumecheng-10736	765	22	)	)	PUNCT
fumecheng-10736	765	23	(	(	PUNCT
fumecheng-10736	765	24	)	)	PUNCT
fumecheng-10736	765	25	(	(	PUNCT
fumecheng-10736	765	26	i	i	NOUN
fumecheng-10736	765	27	;	;	PUNCT
fumecheng-10736	765	28	;	;	PUNCT
fumecheng-10736	765	29	cos	cos	ADP
fumecheng-10736	765	30	[	[	X
fumecheng-10736	765	31	]	]	X
fumecheng-10736	765	32	;	;	PUNCT
fumecheng-10736	765	33	s	s	X
fumecheng-10736	765	34	n	n	CCONJ
fumecheng-10736	765	35	[	[	PUNCT
fumecheng-10736	765	36	]	]	X
fumecheng-10736	765	37	;	;	PUNCT
fumecheng-10736	765	38	cos	cos	X
fumecheng-10736	765	39	[	[	X
fumecheng-10736	765	40	]	]	X
fumecheng-10736	765	41	;	;	PUNCT
fumecheng-10736	765	42	s	s	X
fumecheng-10736	765	43	]	]	PUNCT
fumecheng-10736	765	44	)	)	PUNCT
fumecheng-10736	765	45	(	(	PUNCT
fumecheng-10736	765	46	)	)	PUNCT
fumecheng-10736	765	47	in	in	ADP
fumecheng-10736	765	48	(	(	PUNCT
fumecheng-10736	765	49	)	)	PUNCT
fumecheng-10736	765	50	(	(	PUNCT
fumecheng-10736	765	51	)	)	PUNCT
fumecheng-10736	766	1	[	[	PUNCT
fumecheng-10736	766	2	r	r	NOUN
fumecheng-10736	766	3	x	x	SYM
fumecheng-10736	766	4	r	r	NOUN
fumecheng-10736	766	5	x	x	PUNCT
fumecheng-10736	766	6	rx	rx	VERB
fumecheng-10736	766	7	rx	rx	VERB
fumecheng-10736	766	8	rx	rx	VERB
fumecheng-10736	766	9	rx	rx	ADP
fumecheng-10736	766	10	e	e	NOUN
fumecheng-10736	766	11	e	e	X
fumecheng-10736	766	12	e	e	X
fumecheng-10736	766	13	qx	qx	PROPN
fumecheng-10736	766	14	e	e	X
fumecheng-10736	766	15	x	x	X
fumecheng-10736	766	16	qx	qx	NOUN
fumecheng-10736	766	17	e	e	NOUN
fumecheng-10736	766	18	x	x	PUNCT
fumecheng-10736	766	19	x	x	PUNCT
fumecheng-10736	766	20	x	x	X
fumecheng-10736	766	21	x	x	X
fumecheng-10736	766	22	xqx	xqx	PROPN
fumecheng-10736	766	23	e	e	PROPN
fumecheng-10736	766	24	qx	qx	PRON
fumecheng-10736	766	25			PROPN
fumecheng-10736	766	26			ADJ
fumecheng-10736	766	27			ADJ
fumecheng-10736	766	28			ADJ
fumecheng-10736	766	29			ADJ
fumecheng-10736	766	30			PROPN
fumecheng-10736	766	31	−	−	PROPN
fumecheng-10736	766	32	−	−	NOUN
fumecheng-10736	766	33	−	−	NOUN
fumecheng-10736	766	34	=	=	SYM
fumecheng-10736	767	1	=	=	PUNCT
fumecheng-10736	767	2	=	=	PUNCT
fumecheng-10736	767	3	=	=	PUNCT
fumecheng-10736	767	4	=	=	SYM
fumecheng-10736	767	5	=	=	SYM
fumecheng-10736	767	6	(	(	PUNCT
fumecheng-10736	767	7	a5	a5	PROPN
fumecheng-10736	767	8	)	)	PUNCT
fumecheng-10736	767	9	where	where	SCONJ
fumecheng-10736	767	10	(	(	PUNCT
fumecheng-10736	767	11	)	)	PUNCT
fumecheng-10736	767	12	(	(	PUNCT
fumecheng-10736	767	13	)	)	PUNCT
fumecheng-10736	767	14	(	(	PUNCT
fumecheng-10736	767	15	)	)	PUNCT
fumecheng-10736	767	16	2	2	NUM
fumecheng-10736	767	17	13	13	NUM
fumecheng-10736	767	18	3	3	NUM
fumecheng-10736	767	19	1	1	NUM
fumecheng-10736	767	20	3	3	NUM
fumecheng-10736	767	21	3	3	NUM
fumecheng-10736	767	22	1	1	NUM
fumecheng-10736	767	23	2	2	NUM
fumecheng-10736	767	24	3	3	NUM
fumecheng-10736	767	25	2	2	NUM
fumecheng-10736	767	26	2	2	NUM
fumecheng-10736	767	27	3	3	NUM
fumecheng-10736	767	28	;	;	PUNCT
fumecheng-10736	767	29	2	2	NUM
fumecheng-10736	767	30	2	2	NUM
fumecheng-10736	767	31	3	3	NUM
fumecheng-10736	767	32	;	;	PUNCT
fumecheng-10736	767	33	2	2	NUM
fumecheng-10736	767	34	2	2	NUM
fumecheng-10736	767	35	;	;	PUNCT
fumecheng-10736	767	36	3	3	NUM
fumecheng-10736	767	37	2	2	NUM
fumecheng-10736	767	38	/	/	SYM
fumecheng-10736	767	39	3	3	NUM
fumecheng-10736	767	40	r	r	NOUN
fumecheng-10736	767	41	m	m	VERB
fumecheng-10736	767	42	n	n	NOUN
fumecheng-10736	767	43	m	m	NOUN
fumecheng-10736	767	44	m	m	VERB
fumecheng-10736	767	45	n	n	ADV
fumecheng-10736	767	46	m	m	PROPN
fumecheng-10736	767	47	r	r	NOUN
fumecheng-10736	767	48	q	q	NOUN
fumecheng-10736	767	49	m	m	VERB
fumecheng-10736	767	50	n	n	PRON
fumecheng-10736	767	51			ADJ
fumecheng-10736	767	52			PROPN
fumecheng-10736	767	53			PROPN
fumecheng-10736	767	54			PROPN
fumecheng-10736	767	55			PROPN
fumecheng-10736	767	56			ADJ
fumecheng-10736	767	57			PROPN
fumecheng-10736	767	58			PROPN
fumecheng-10736	767	59	+	+	PROPN
fumecheng-10736	767	60	+	+	PUNCT
fumecheng-10736	767	61	+	+	CCONJ
fumecheng-10736	767	62	−	−	NOUN
fumecheng-10736	767	63	=	=	SYM
fumecheng-10736	767	64	=	=	SYM
fumecheng-10736	767	65			PROPN
fumecheng-10736	767	66			INTJ
fumecheng-10736	767	67			PROPN
fumecheng-10736	767	68			ADJ
fumecheng-10736	767	69			NOUN
fumecheng-10736	767	70			PROPN
fumecheng-10736	767	71			NOUN
fumecheng-10736	767	72			PROPN
fumecheng-10736	767	73			PROPN
fumecheng-10736	767	74	=	=	SYM
fumecheng-10736	767	75	−	−	PROPN
fumecheng-10736	768	1	+	+	CCONJ
fumecheng-10736	768	2			PUNCT
fumecheng-10736	769	1	+	+	CCONJ
fumecheng-10736	769	2	−	−	PROPN
fumecheng-10736	769	3	−	−	NOUN
fumecheng-10736	769	4			NOUN
fumecheng-10736	769	5	−	−	ADP
fumecheng-10736	769	6	−	−	PROPN
fumecheng-10736	770	1	+	+	CCONJ
fumecheng-10736	770	2			X
fumecheng-10736	770	3	+	+	CCONJ
fumecheng-10736	770	4			NOUN
fumecheng-10736	770	5			NOUN
fumecheng-10736	770	6			PROPN
fumecheng-10736	770	7	=	=	SYM
fumecheng-10736	770	8	−	−	PROPN
fumecheng-10736	771	1	=	=	PUNCT
fumecheng-10736	771	2	−	−	PROPN
fumecheng-10736	771	3	−	−	PROPN
fumecheng-10736	771	4			NOUN
fumecheng-10736	772	1	+	+	CCONJ
fumecheng-10736	772	2	−	−	PROPN
fumecheng-10736	773	1	+	+	CCONJ
fumecheng-10736	773	2	−	−	PROPN
fumecheng-10736	773	3	−	−	PROPN
fumecheng-10736	774	1	−	−	PROPN
fumecheng-10736	774	2			NOUN
fumecheng-10736	774	3	(	(	PUNCT
fumecheng-10736	774	4	a6	a6	NOUN
fumecheng-10736	774	5	)	)	PUNCT
fumecheng-10736	774	6	solution	solution	NOUN
fumecheng-10736	774	7	case	case	NOUN
fumecheng-10736	774	8	ii	ii	PROPN
fumecheng-10736	774	9	:	:	PUNCT
fumecheng-10736	774	10	when	when	SCONJ
fumecheng-10736	774	11	δ	δ	PROPN
fumecheng-10736	774	12	=	=	PROPN
fumecheng-10736	774	13	α3	α3	PROPN
fumecheng-10736	775	1	+	+	CCONJ
fumecheng-10736	775	2	β2	β2	VERB
fumecheng-10736	775	3	<	<	X
fumecheng-10736	775	4	0	0	NUM
fumecheng-10736	775	5	1	1	NUM
fumecheng-10736	775	6	2	2	NUM
fumecheng-10736	775	7	1	1	NUM
fumecheng-10736	775	8	2	2	NUM
fumecheng-10736	775	9	1	1	NUM
fumecheng-10736	775	10	2	2	NUM
fumecheng-10736	775	11	3	3	NUM
fumecheng-10736	775	12	4	4	NUM
fumecheng-10736	775	13	5	5	NUM
fumecheng-10736	775	14	6	6	NUM
fumecheng-10736	775	15	(	(	PUNCT
fumecheng-10736	775	16	)	)	PUNCT
fumecheng-10736	775	17	;	;	PUNCT
fumecheng-10736	775	18	(	(	PUNCT
fumecheng-10736	775	19	)	)	PUNCT
fumecheng-10736	775	20	;	;	PUNCT
fumecheng-10736	775	21	(	(	PUNCT
fumecheng-10736	775	22	)	)	PUNCT
fumecheng-10736	775	23	;	;	PUNCT
fumecheng-10736	775	24	(	(	PUNCT
fumecheng-10736	775	25	)	)	PUNCT
fumecheng-10736	775	26	;	;	PUNCT
fumecheng-10736	775	27	(	(	PUNCT
fumecheng-10736	775	28	)	)	PUNCT
fumecheng-10736	775	29	;	;	PUNCT
fumecheng-10736	775	30	(	(	PUNCT
fumecheng-10736	775	31	)	)	PUNCT
fumecheng-10736	775	32	r	r	NOUN
fumecheng-10736	775	33	x	x	PUNCT
fumecheng-10736	775	34	r	r	NOUN
fumecheng-10736	775	35	x	x	PUNCT
fumecheng-10736	775	36	r	r	NOUN
fumecheng-10736	775	37	x	x	NOUN
fumecheng-10736	775	38	r	r	NOUN
fumecheng-10736	775	39	xrx	xrx	PROPN
fumecheng-10736	775	40	rxx	rxx	X
fumecheng-10736	775	41	e	e	NOUN
fumecheng-10736	775	42	x	x	X
fumecheng-10736	775	43	e	e	NOUN
fumecheng-10736	775	44	x	x	X
fumecheng-10736	775	45	e	e	NOUN
fumecheng-10736	775	46	x	x	X
fumecheng-10736	775	47	e	e	NOUN
fumecheng-10736	775	48	x	x	X
fumecheng-10736	775	49	e	e	X
fumecheng-10736	775	50	x	x	X
fumecheng-10736	775	51	e	e	NOUN
fumecheng-10736	775	52			ADJ
fumecheng-10736	775	53			ADJ
fumecheng-10736	775	54			PROPN
fumecheng-10736	775	55			PROPN
fumecheng-10736	775	56	−	−	NOUN
fumecheng-10736	775	57	−−=	−−=	NOUN
fumecheng-10736	776	1	=	=	PUNCT
fumecheng-10736	777	1	=	=	PUNCT
fumecheng-10736	777	2	=	=	PUNCT
fumecheng-10736	778	1	=	=	PUNCT
fumecheng-10736	778	2	=	=	SYM
fumecheng-10736	778	3	(	(	PUNCT
fumecheng-10736	778	4	a7	a7	PROPN
fumecheng-10736	778	5	)	)	PUNCT
fumecheng-10736	779	1	where	where	SCONJ
fumecheng-10736	779	2	1	1	NUM
fumecheng-10736	779	3	1	1	NUM
fumecheng-10736	779	4	1	1	NUM
fumecheng-10736	779	5	1	1	NUM
fumecheng-10736	779	6	31	31	NUM
fumecheng-10736	779	7	2	2	NUM
fumecheng-10736	779	8	2	2	NUM
fumecheng-10736	779	9	2	2	NUM
fumecheng-10736	779	10	cos	cos	X
fumecheng-10736	779	11	;	;	PUNCT
fumecheng-10736	779	12	2	2	X
fumecheng-10736	779	13	cos	cos	X
fumecheng-10736	779	14	;	;	PUNCT
fumecheng-10736	779	15	3	3	NUM
fumecheng-10736	779	16	3	3	NUM
fumecheng-10736	779	17	3	3	NUM
fumecheng-10736	779	18	3	3	NUM
fumecheng-10736	779	19	4	4	NUM
fumecheng-10736	779	20	2	2	NUM
fumecheng-10736	779	21	cos	cos	NOUN
fumecheng-10736	779	22	;	;	PUNCT
fumecheng-10736	779	23	cos	cos	PROPN
fumecheng-10736	779	24	/	/	SYM
fumecheng-10736	779	25	3	3	NUM
fumecheng-10736	779	26	3	3	NUM
fumecheng-10736	779	27	r	r	NOUN
fumecheng-10736	779	28	r	r	NOUN
fumecheng-10736	779	29	r	r	NOUN
fumecheng-10736	779	30			ADJ
fumecheng-10736	779	31			NOUN
fumecheng-10736	779	32			NOUN
fumecheng-10736	779	33			NUM
fumecheng-10736	779	34			NOUN
fumecheng-10736	779	35			X
fumecheng-10736	779	36			PROPN
fumecheng-10736	779	37			ADJ
fumecheng-10736	779	38			NOUN
fumecheng-10736	779	39			NOUN
fumecheng-10736	779	40			NOUN
fumecheng-10736	779	41	−	−	X
fumecheng-10736	779	42	+	+	NOUN
fumecheng-10736	779	43			PROPN
fumecheng-10736	779	44			ADJ
fumecheng-10736	779	45			PROPN
fumecheng-10736	779	46			NOUN
fumecheng-10736	779	47	=	=	PUNCT
fumecheng-10736	779	48	−	−	NOUN
fumecheng-10736	779	49	−	−	PROPN
fumecheng-10736	779	50	=	=	SYM
fumecheng-10736	779	51	−	−	PROPN
fumecheng-10736	779	52	−	−	X
fumecheng-10736	779	53			ADJ
fumecheng-10736	779	54			NOUN
fumecheng-10736	779	55			NOUN
fumecheng-10736	779	56			NOUN
fumecheng-10736	779	57			PROPN
fumecheng-10736	779	58			VERB
fumecheng-10736	779	59			PROPN
fumecheng-10736	779	60	+	+	PROPN
fumecheng-10736	779	61			PROPN
fumecheng-10736	779	62			ADJ
fumecheng-10736	779	63			PROPN
fumecheng-10736	779	64	=	=	NOUN
fumecheng-10736	779	65	−	−	PROPN
fumecheng-10736	779	66	−	−	PROPN
fumecheng-10736	779	67	=	=	SYM
fumecheng-10736	779	68	−	−	PROPN
fumecheng-10736	779	69	−	−	X
fumecheng-10736	779	70			PROPN
fumecheng-10736	779	71			VERB
fumecheng-10736	779	72			ADJ
fumecheng-10736	779	73			PROPN
fumecheng-10736	779	74			PROPN
fumecheng-10736	779	75	(	(	PUNCT
fumecheng-10736	779	76	a8	a8	PROPN
fumecheng-10736	779	77	)	)	PUNCT