id	sid	tid	token	lemma	pos
fumecheng-2259	1	1	thermal	thermal	ADJ
fumecheng-2259	1	2	effect	effect	NOUN
fumecheng-2259	1	3	on	on	ADP
fumecheng-2259	1	4	free	free	ADJ
fumecheng-2259	1	5	vibration	vibration	NOUN
fumecheng-2259	1	6	and	and	CCONJ
fumecheng-2259	1	7	buckling	buckle	VERB
fumecheng-2259	1	8	facta	facta	ADJ
fumecheng-2259	1	9	universitatis	universitatis	PROPN
fumecheng-2259	1	10	series	series	NOUN
fumecheng-2259	1	11	:	:	PUNCT
fumecheng-2259	1	12	mechanical	mechanical	ADJ
fumecheng-2259	1	13	engineering	engineering	NOUN
fumecheng-2259	1	14	vol	vol	NOUN
fumecheng-2259	1	15	.	.	PROPN
fumecheng-2259	2	1	15	15	NUM
fumecheng-2259	2	2	,	,	PUNCT
fumecheng-2259	2	3	no	no	DET
fumecheng-2259	2	4	1	1	NUM
fumecheng-2259	2	5	,	,	PUNCT
fumecheng-2259	2	6	2017	2017	NUM
fumecheng-2259	2	7	,	,	PUNCT
fumecheng-2259	2	8	pp	pp	ADJ
fumecheng-2259	2	9	.	.	PUNCT
fumecheng-2259	3	1	45	45	NUM
fumecheng-2259	3	2	62	62	NUM
fumecheng-2259	3	3	doi	doi	NOUN
fumecheng-2259	3	4	:	:	PUNCT
fumecheng-2259	3	5	10.22190	10.22190	NUM
fumecheng-2259	3	6	/	/	SYM
fumecheng-2259	3	7	fume161115007s	fume161115007s	PROPN
fumecheng-2259	3	8	©	©	PROPN
fumecheng-2259	3	9	2017	2017	NUM
fumecheng-2259	3	10	by	by	ADP
fumecheng-2259	3	11	university	university	PROPN
fumecheng-2259	3	12	of	of	ADP
fumecheng-2259	3	13	niš	niš	PROPN
fumecheng-2259	3	14	,	,	PUNCT
fumecheng-2259	3	15	serbia	serbia	PROPN
fumecheng-2259	3	16	|	|	ADV
fumecheng-2259	3	17	creative	creative	ADJ
fumecheng-2259	3	18	commons	common	NOUN
fumecheng-2259	3	19	licence	licence	NOUN
fumecheng-2259	3	20	:	:	PUNCT
fumecheng-2259	3	21	cc	cc	VERB
fumecheng-2259	3	22	by	by	ADP
fumecheng-2259	3	23	-	-	PUNCT
fumecheng-2259	3	24	nc	nc	VERB
fumecheng-2259	3	25	-	-	PUNCT
fumecheng-2259	3	26	nd	nd	ADV
fumecheng-2259	3	27	original	original	ADJ
fumecheng-2259	3	28	scientific	scientific	ADJ
fumecheng-2259	3	29	paper	paper	NOUN
fumecheng-2259	3	30	thermal	thermal	ADJ
fumecheng-2259	3	31	effect	effect	NOUN
fumecheng-2259	3	32	on	on	ADP
fumecheng-2259	3	33	free	free	ADJ
fumecheng-2259	3	34	vibration	vibration	NOUN
fumecheng-2259	3	35	and	and	CCONJ
fumecheng-2259	3	36	buckling	buckling	NOUN
fumecheng-2259	3	37	of	of	ADP
fumecheng-2259	3	38	a	a	DET
fumecheng-2259	3	39	double	double	ADJ
fumecheng-2259	3	40	-	-	PUNCT
fumecheng-2259	3	41	microbeam	microbeam	NOUN
fumecheng-2259	3	42	system	system	NOUN
fumecheng-2259	3	43	udc	udc	NOUN
fumecheng-2259	3	44	620.179.13	620.179.13	PUNCT
fumecheng-2259	3	45	+	+	ADJ
fumecheng-2259	3	46	620.174]:534.1	620.174]:534.1	PROPN
fumecheng-2259	3	47	marija	marija	ADJ
fumecheng-2259	3	48	stamenković	stamenković	PROPN
fumecheng-2259	3	49	atanasov	atanasov	PROPN
fumecheng-2259	3	50	1	1	NUM
fumecheng-2259	3	51	,	,	PUNCT
fumecheng-2259	3	52	danilo	danilo	PROPN
fumecheng-2259	3	53	karličić	karličić	PROPN
fumecheng-2259	3	54	1	1	NUM
fumecheng-2259	3	55	,	,	PUNCT
fumecheng-2259	3	56	predrag	predrag	PROPN
fumecheng-2259	3	57	kozić	kozić	PROPN
fumecheng-2259	3	58	2	2	NUM
fumecheng-2259	3	59	,	,	PUNCT
fumecheng-2259	3	60	goran	goran	NOUN
fumecheng-2259	3	61	janevski	janevski	PROPN
fumecheng-2259	3	62	2	2	NUM
fumecheng-2259	3	63	1	1	NUM
fumecheng-2259	3	64	mathematical	mathematical	ADJ
fumecheng-2259	3	65	institute	institute	NOUN
fumecheng-2259	3	66	of	of	ADP
fumecheng-2259	3	67	the	the	DET
fumecheng-2259	3	68	serbian	serbian	PROPN
fumecheng-2259	3	69	academy	academy	PROPN
fumecheng-2259	3	70	of	of	ADP
fumecheng-2259	3	71	sciences	sciences	PROPN
fumecheng-2259	3	72	and	and	CCONJ
fumecheng-2259	3	73	arts	art	NOUN
fumecheng-2259	3	74	,	,	PUNCT
fumecheng-2259	3	75	serbia	serbia	PROPN
fumecheng-2259	3	76	2	2	NUM
fumecheng-2259	3	77	university	university	PROPN
fumecheng-2259	3	78	of	of	ADP
fumecheng-2259	3	79	niš	niš	PROPN
fumecheng-2259	3	80	,	,	PUNCT
fumecheng-2259	3	81	department	department	NOUN
fumecheng-2259	3	82	of	of	ADP
fumecheng-2259	3	83	mechanical	mechanical	ADJ
fumecheng-2259	3	84	engineering	engineering	NOUN
fumecheng-2259	3	85	,	,	PUNCT
fumecheng-2259	3	86	serbia	serbia	PROPN
fumecheng-2259	3	87	abstract	abstract	ADJ
fumecheng-2259	3	88	.	.	PUNCT
fumecheng-2259	4	1	the	the	DET
fumecheng-2259	4	2	paper	paper	NOUN
fumecheng-2259	4	3	investigates	investigate	VERB
fumecheng-2259	4	4	the	the	DET
fumecheng-2259	4	5	problem	problem	NOUN
fumecheng-2259	4	6	of	of	ADP
fumecheng-2259	4	7	free	free	ADJ
fumecheng-2259	4	8	vibration	vibration	NOUN
fumecheng-2259	4	9	and	and	CCONJ
fumecheng-2259	4	10	buckling	buckling	NOUN
fumecheng-2259	4	11	of	of	ADP
fumecheng-2259	4	12	an	an	DET
fumecheng-2259	4	13	eulerbernoulli	eulerbernoulli	ADJ
fumecheng-2259	4	14	double	double	ADJ
fumecheng-2259	4	15	-	-	PUNCT
fumecheng-2259	4	16	microbeam	microbeam	NOUN
fumecheng-2259	4	17	system	system	NOUN
fumecheng-2259	4	18	(	(	PUNCT
fumecheng-2259	4	19	ebdmbs	ebdmb	NOUN
fumecheng-2259	4	20	)	)	PUNCT
fumecheng-2259	4	21	under	under	ADP
fumecheng-2259	4	22	the	the	DET
fumecheng-2259	4	23	compressive	compressive	ADJ
fumecheng-2259	4	24	axial	axial	ADJ
fumecheng-2259	4	25	loading	loading	NOUN
fumecheng-2259	4	26	with	with	ADP
fumecheng-2259	4	27	a	a	DET
fumecheng-2259	4	28	temperature	temperature	NOUN
fumecheng-2259	4	29	change	change	NOUN
fumecheng-2259	4	30	effect	effect	NOUN
fumecheng-2259	4	31	.	.	PUNCT
fumecheng-2259	5	1	the	the	DET
fumecheng-2259	5	2	system	system	NOUN
fumecheng-2259	5	3	is	be	AUX
fumecheng-2259	5	4	composed	compose	VERB
fumecheng-2259	5	5	of	of	ADP
fumecheng-2259	5	6	two	two	NUM
fumecheng-2259	5	7	identical	identical	ADJ
fumecheng-2259	5	8	,	,	PUNCT
fumecheng-2259	5	9	parallel	parallel	ADJ
fumecheng-2259	5	10	simplysupported	simplysupporte	VERB
fumecheng-2259	5	11	microbeams	microbeam	NOUN
fumecheng-2259	5	12	which	which	PRON
fumecheng-2259	5	13	are	be	AUX
fumecheng-2259	5	14	continuously	continuously	ADV
fumecheng-2259	5	15	joined	join	VERB
fumecheng-2259	5	16	by	by	ADP
fumecheng-2259	5	17	the	the	DET
fumecheng-2259	5	18	pasternak	pasternak	NOUN
fumecheng-2259	5	19	’s	’s	PART
fumecheng-2259	5	20	elastic	elastic	ADJ
fumecheng-2259	5	21	layer	layer	NOUN
fumecheng-2259	5	22	.	.	PUNCT
fumecheng-2259	6	1	analytical	analytical	ADJ
fumecheng-2259	6	2	expressions	expression	NOUN
fumecheng-2259	6	3	for	for	ADP
fumecheng-2259	6	4	the	the	DET
fumecheng-2259	6	5	critical	critical	ADJ
fumecheng-2259	6	6	buckling	buckling	NOUN
fumecheng-2259	6	7	load	load	NOUN
fumecheng-2259	6	8	,	,	PUNCT
fumecheng-2259	6	9	critical	critical	ADJ
fumecheng-2259	6	10	buckling	buckling	NOUN
fumecheng-2259	6	11	temperature	temperature	NOUN
fumecheng-2259	6	12	,	,	PUNCT
fumecheng-2259	6	13	natural	natural	ADJ
fumecheng-2259	6	14	frequencies	frequency	NOUN
fumecheng-2259	6	15	and	and	CCONJ
fumecheng-2259	6	16	frequencies	frequency	NOUN
fumecheng-2259	6	17	of	of	ADP
fumecheng-2259	6	18	transverse	transverse	NOUN
fumecheng-2259	6	19	vibration	vibration	NOUN
fumecheng-2259	6	20	of	of	ADP
fumecheng-2259	6	21	the	the	DET
fumecheng-2259	6	22	ebdmbs	ebdmb	NOUN
fumecheng-2259	6	23	represented	represent	VERB
fumecheng-2259	6	24	by	by	ADP
fumecheng-2259	6	25	the	the	DET
fumecheng-2259	6	26	ratios	ratio	NOUN
fumecheng-2259	6	27	are	be	AUX
fumecheng-2259	6	28	derived	derive	VERB
fumecheng-2259	6	29	and	and	CCONJ
fumecheng-2259	6	30	validated	validate	VERB
fumecheng-2259	6	31	by	by	ADP
fumecheng-2259	6	32	the	the	DET
fumecheng-2259	6	33	results	result	NOUN
fumecheng-2259	6	34	found	find	VERB
fumecheng-2259	6	35	in	in	ADP
fumecheng-2259	6	36	the	the	DET
fumecheng-2259	6	37	literature	literature	NOUN
fumecheng-2259	6	38	.	.	PUNCT
fumecheng-2259	7	1	also	also	ADV
fumecheng-2259	7	2	analytical	analytical	ADJ
fumecheng-2259	7	3	expressions	expression	NOUN
fumecheng-2259	7	4	are	be	AUX
fumecheng-2259	7	5	obtained	obtain	VERB
fumecheng-2259	7	6	for	for	ADP
fumecheng-2259	7	7	various	various	ADJ
fumecheng-2259	7	8	buckling	buckle	VERB
fumecheng-2259	7	9	states	state	NOUN
fumecheng-2259	7	10	and	and	CCONJ
fumecheng-2259	7	11	vibration	vibration	NOUN
fumecheng-2259	7	12	-	-	PUNCT
fumecheng-2259	7	13	phase	phase	NOUN
fumecheng-2259	7	14	of	of	ADP
fumecheng-2259	7	15	the	the	DET
fumecheng-2259	7	16	ebdmbs	ebdmb	NOUN
fumecheng-2259	7	17	.	.	PUNCT
fumecheng-2259	8	1	the	the	DET
fumecheng-2259	8	2	temperature	temperature	NOUN
fumecheng-2259	8	3	change	change	NOUN
fumecheng-2259	8	4	effect	effect	NOUN
fumecheng-2259	8	5	is	be	AUX
fumecheng-2259	8	6	assumed	assume	VERB
fumecheng-2259	8	7	to	to	PART
fumecheng-2259	8	8	have	have	VERB
fumecheng-2259	8	9	an	an	DET
fumecheng-2259	8	10	influence	influence	NOUN
fumecheng-2259	8	11	on	on	ADP
fumecheng-2259	8	12	both	both	CCONJ
fumecheng-2259	8	13	the	the	DET
fumecheng-2259	8	14	microbeams	microbeam	NOUN
fumecheng-2259	8	15	.	.	PUNCT
fumecheng-2259	9	1	the	the	DET
fumecheng-2259	9	2	length	length	NOUN
fumecheng-2259	9	3	scale	scale	NOUN
fumecheng-2259	9	4	parameter	parameter	NOUN
fumecheng-2259	9	5	,	,	PUNCT
fumecheng-2259	9	6	temperature	temperature	NOUN
fumecheng-2259	9	7	change	change	NOUN
fumecheng-2259	9	8	effect	effect	NOUN
fumecheng-2259	9	9	,	,	PUNCT
fumecheng-2259	9	10	critical	critical	ADJ
fumecheng-2259	9	11	buckling	buckling	NOUN
fumecheng-2259	9	12	load	load	NOUN
fumecheng-2259	9	13	,	,	PUNCT
fumecheng-2259	9	14	thickness	thickness	NOUN
fumecheng-2259	9	15	/	/	SYM
fumecheng-2259	9	16	material	material	NOUN
fumecheng-2259	9	17	parameter	parameter	NOUN
fumecheng-2259	9	18	,	,	PUNCT
fumecheng-2259	9	19	pasternak	pasternak	PROPN
fumecheng-2259	9	20	’s	’s	PART
fumecheng-2259	9	21	parameter	parameter	NOUN
fumecheng-2259	9	22	and	and	CCONJ
fumecheng-2259	9	23	poisson	poisson	PROPN
fumecheng-2259	9	24	’s	’s	PART
fumecheng-2259	9	25	effect	effect	NOUN
fumecheng-2259	9	26	are	be	AUX
fumecheng-2259	9	27	discussed	discuss	VERB
fumecheng-2259	9	28	in	in	ADP
fumecheng-2259	9	29	detail	detail	NOUN
fumecheng-2259	9	30	.	.	PUNCT
fumecheng-2259	10	1	also	also	ADV
fumecheng-2259	10	2	,	,	PUNCT
fumecheng-2259	10	3	as	as	ADP
fumecheng-2259	10	4	a	a	DET
fumecheng-2259	10	5	clearer	clear	ADJ
fumecheng-2259	10	6	display	display	NOUN
fumecheng-2259	10	7	of	of	ADP
fumecheng-2259	10	8	the	the	DET
fumecheng-2259	10	9	thermo	thermo	NOUN
fumecheng-2259	10	10	-	-	PUNCT
fumecheng-2259	10	11	mechanical	mechanical	ADJ
fumecheng-2259	10	12	response	response	NOUN
fumecheng-2259	10	13	of	of	ADP
fumecheng-2259	10	14	ebdmbs	ebdmb	NOUN
fumecheng-2259	10	15	,	,	PUNCT
fumecheng-2259	10	16	the	the	DET
fumecheng-2259	10	17	paper	paper	NOUN
fumecheng-2259	10	18	introduces	introduce	VERB
fumecheng-2259	10	19	a	a	DET
fumecheng-2259	10	20	critical	critical	ADJ
fumecheng-2259	10	21	scale	scale	NOUN
fumecheng-2259	10	22	load	load	NOUN
fumecheng-2259	10	23	ratio	ratio	NOUN
fumecheng-2259	10	24	of	of	ADP
fumecheng-2259	10	25	the	the	DET
fumecheng-2259	10	26	modified	modified	ADJ
fumecheng-2259	10	27	and	and	CCONJ
fumecheng-2259	10	28	the	the	DET
fumecheng-2259	10	29	local	local	ADJ
fumecheng-2259	10	30	critical	critical	ADJ
fumecheng-2259	10	31	buckling	buckling	NOUN
fumecheng-2259	10	32	loads	load	NOUN
fumecheng-2259	10	33	in	in	ADP
fumecheng-2259	10	34	lowtemperature	lowtemperature	NOUN
fumecheng-2259	10	35	environs	environ	NOUN
fumecheng-2259	10	36	.	.	PUNCT
fumecheng-2259	11	1	numerical	numerical	PROPN
fumecheng-2259	11	2	results	result	NOUN
fumecheng-2259	11	3	show	show	VERB
fumecheng-2259	11	4	that	that	SCONJ
fumecheng-2259	11	5	the	the	DET
fumecheng-2259	11	6	critical	critical	ADJ
fumecheng-2259	11	7	buckling	buckle	VERB
fumecheng-2259	11	8	temperatures	temperature	NOUN
fumecheng-2259	11	9	for	for	ADP
fumecheng-2259	11	10	classical	classical	ADJ
fumecheng-2259	11	11	theories	theory	NOUN
fumecheng-2259	11	12	are	be	AUX
fumecheng-2259	11	13	always	always	ADV
fumecheng-2259	11	14	higher	high	ADJ
fumecheng-2259	11	15	than	than	ADP
fumecheng-2259	11	16	the	the	DET
fumecheng-2259	11	17	critical	critical	ADJ
fumecheng-2259	11	18	buckling	buckling	NOUN
fumecheng-2259	11	19	temperature	temperature	NOUN
fumecheng-2259	11	20	for	for	ADP
fumecheng-2259	11	21	mcst	mcst	ADJ
fumecheng-2259	11	22	systems	system	NOUN
fumecheng-2259	11	23	.	.	PUNCT
fumecheng-2259	12	1	key	key	ADJ
fumecheng-2259	12	2	words	word	NOUN
fumecheng-2259	12	3	:	:	PUNCT
fumecheng-2259	12	4	thermal	thermal	ADJ
fumecheng-2259	12	5	effect	effect	NOUN
fumecheng-2259	12	6	,	,	PUNCT
fumecheng-2259	12	7	double	double	ADJ
fumecheng-2259	12	8	-	-	PUNCT
fumecheng-2259	12	9	microbeam	microbeam	NOUN
fumecheng-2259	12	10	system	system	NOUN
fumecheng-2259	12	11	,	,	PUNCT
fumecheng-2259	12	12	critical	critical	ADJ
fumecheng-2259	12	13	buckling	buckling	NOUN
fumecheng-2259	12	14	load	load	NOUN
fumecheng-2259	12	15	,	,	PUNCT
fumecheng-2259	12	16	pasternak	pasternak	PROPN
fumecheng-2259	12	17	’s	’s	PART
fumecheng-2259	12	18	parameter	parameter	NOUN
fumecheng-2259	12	19	,	,	PUNCT
fumecheng-2259	12	20	poisson	poisson	PROPN
fumecheng-2259	12	21	’s	’s	PART
fumecheng-2259	12	22	effect	effect	NOUN
fumecheng-2259	12	23	1	1	NUM
fumecheng-2259	12	24	.	.	PUNCT
fumecheng-2259	12	25	introduction	introduction	NOUN
fumecheng-2259	12	26	micro	micro	NOUN
fumecheng-2259	12	27	and	and	CCONJ
fumecheng-2259	12	28	nano	nano	NOUN
fumecheng-2259	12	29	structures	structure	NOUN
fumecheng-2259	12	30	became	become	VERB
fumecheng-2259	12	31	an	an	DET
fumecheng-2259	12	32	object	object	NOUN
fumecheng-2259	12	33	of	of	ADP
fumecheng-2259	12	34	interest	interest	NOUN
fumecheng-2259	12	35	in	in	ADP
fumecheng-2259	12	36	modern	modern	ADJ
fumecheng-2259	12	37	science	science	NOUN
fumecheng-2259	12	38	and	and	CCONJ
fumecheng-2259	12	39	technology	technology	NOUN
fumecheng-2259	12	40	just	just	ADV
fumecheng-2259	12	41	after	after	ADP
fumecheng-2259	12	42	their	their	PRON
fumecheng-2259	12	43	invention	invention	NOUN
fumecheng-2259	12	44	.	.	PUNCT
fumecheng-2259	13	1	they	they	PRON
fumecheng-2259	13	2	possess	possess	VERB
fumecheng-2259	13	3	important	important	ADJ
fumecheng-2259	13	4	mechanical	mechanical	ADJ
fumecheng-2259	13	5	,	,	PUNCT
fumecheng-2259	13	6	electrical	electrical	ADJ
fumecheng-2259	13	7	and	and	CCONJ
fumecheng-2259	13	8	thermal	thermal	ADJ
fumecheng-2259	13	9	performances	performance	NOUN
fumecheng-2259	13	10	that	that	PRON
fumecheng-2259	13	11	are	be	AUX
fumecheng-2259	13	12	higher	high	ADJ
fumecheng-2259	13	13	than	than	ADP
fumecheng-2259	13	14	conventional	conventional	ADJ
fumecheng-2259	13	15	structural	structural	ADJ
fumecheng-2259	13	16	materials	material	NOUN
fumecheng-2259	13	17	.	.	PUNCT
fumecheng-2259	14	1	using	use	VERB
fumecheng-2259	14	2	micro	micro	NOUN
fumecheng-2259	14	3	/	/	SYM
fumecheng-2259	14	4	nano	nano	PROPN
fumecheng-2259	14	5	received	receive	VERB
fumecheng-2259	14	6	november	november	PROPN
fumecheng-2259	14	7	15	15	NUM
fumecheng-2259	14	8	,	,	PUNCT
fumecheng-2259	14	9	2016	2016	NUM
fumecheng-2259	14	10	/	/	SYM
fumecheng-2259	14	11	accepted	accept	VERB
fumecheng-2259	14	12	february	february	PROPN
fumecheng-2259	14	13	23	23	NUM
fumecheng-2259	14	14	,	,	PUNCT
fumecheng-2259	14	15	2017	2017	NUM
fumecheng-2259	14	16	corresponding	correspond	VERB
fumecheng-2259	14	17	author	author	NOUN
fumecheng-2259	14	18	:	:	PUNCT
fumecheng-2259	14	19	goran	goran	PROPN
fumecheng-2259	14	20	janevski	janevski	PROPN
fumecheng-2259	14	21	university	university	PROPN
fumecheng-2259	14	22	of	of	ADP
fumecheng-2259	14	23	niš	niš	PROPN
fumecheng-2259	14	24	,	,	PUNCT
fumecheng-2259	14	25	department	department	NOUN
fumecheng-2259	14	26	of	of	ADP
fumecheng-2259	14	27	mechanical	mechanical	ADJ
fumecheng-2259	14	28	engineering	engineering	NOUN
fumecheng-2259	14	29	,	,	PUNCT
fumecheng-2259	14	30	a.	a.	PROPN
fumecheng-2259	14	31	medvedeva	medvedeva	PROPN
fumecheng-2259	14	32	14	14	NUM
fumecheng-2259	14	33	,	,	PUNCT
fumecheng-2259	14	34	18000	18000	NUM
fumecheng-2259	14	35	nis	nis	NOUN
fumecheng-2259	14	36	,	,	PUNCT
fumecheng-2259	14	37	serbia	serbia	NOUN
fumecheng-2259	14	38	e	e	NOUN
fumecheng-2259	14	39	-	-	NOUN
fumecheng-2259	14	40	mail	mail	NOUN
fumecheng-2259	14	41	:	:	PUNCT
fumecheng-2259	14	42	gocky.jane@gmail.com	gocky.jane@gmail.com	X
fumecheng-2259	14	43	46	46	NUM
fumecheng-2259	14	44	m.	m.	NOUN
fumecheng-2259	14	45	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	14	46	atanasov	atanasov	PROPN
fumecheng-2259	14	47	,	,	PUNCT
fumecheng-2259	14	48	d.	d.	PROPN
fumecheng-2259	14	49	karliţiš	karliţiš	PROPN
fumecheng-2259	14	50	,	,	PUNCT
fumecheng-2259	14	51	p.	p.	PROPN
fumecheng-2259	14	52	koziš	koziš	PROPN
fumecheng-2259	14	53	,	,	PUNCT
fumecheng-2259	14	54	g.	g.	PROPN
fumecheng-2259	14	55	janevski	janevski	PROPN
fumecheng-2259	14	56	structures	structure	NOUN
fumecheng-2259	14	57	in	in	ADP
fumecheng-2259	14	58	a	a	DET
fumecheng-2259	14	59	high	high	ADJ
fumecheng-2259	14	60	temperature	temperature	NOUN
fumecheng-2259	14	61	environment	environment	NOUN
fumecheng-2259	14	62	leads	lead	VERB
fumecheng-2259	14	63	to	to	ADP
fumecheng-2259	14	64	certain	certain	ADJ
fumecheng-2259	14	65	changes	change	NOUN
fumecheng-2259	14	66	in	in	ADP
fumecheng-2259	14	67	stiffness	stiffness	NOUN
fumecheng-2259	14	68	.	.	PUNCT
fumecheng-2259	15	1	recently	recently	ADV
fumecheng-2259	15	2	,	,	PUNCT
fumecheng-2259	15	3	the	the	DET
fumecheng-2259	15	4	vibration	vibration	NOUN
fumecheng-2259	15	5	and	and	CCONJ
fumecheng-2259	15	6	buckling	buckle	VERB
fumecheng-2259	15	7	studies	study	NOUN
fumecheng-2259	15	8	of	of	ADP
fumecheng-2259	15	9	beams	beam	NOUN
fumecheng-2259	15	10	with	with	ADP
fumecheng-2259	15	11	the	the	DET
fumecheng-2259	15	12	microstructure	microstructure	ADJ
fumecheng-2259	15	13	effect	effect	NOUN
fumecheng-2259	15	14	have	have	AUX
fumecheng-2259	15	15	been	be	AUX
fumecheng-2259	15	16	increasingly	increasingly	ADV
fumecheng-2259	15	17	present	present	ADJ
fumecheng-2259	15	18	in	in	ADP
fumecheng-2259	15	19	the	the	DET
fumecheng-2259	15	20	scientific	scientific	ADJ
fumecheng-2259	15	21	community	community	NOUN
fumecheng-2259	15	22	.	.	PUNCT
fumecheng-2259	16	1	researchers	researcher	NOUN
fumecheng-2259	16	2	are	be	AUX
fumecheng-2259	16	3	motivated	motivated	ADJ
fumecheng-2259	16	4	to	to	PART
fumecheng-2259	16	5	develop	develop	VERB
fumecheng-2259	16	6	theories	theory	NOUN
fumecheng-2259	16	7	such	such	ADJ
fumecheng-2259	16	8	as	as	ADP
fumecheng-2259	16	9	the	the	DET
fumecheng-2259	16	10	modified	modify	VERB
fumecheng-2259	16	11	couple	couple	NOUN
fumecheng-2259	16	12	stress	stress	NOUN
fumecheng-2259	16	13	theory	theory	NOUN
fumecheng-2259	16	14	(	(	PUNCT
fumecheng-2259	16	15	mcst	mcst	PROPN
fumecheng-2259	16	16	)	)	PUNCT
fumecheng-2259	16	17	which	which	PRON
fumecheng-2259	16	18	contains	contain	VERB
fumecheng-2259	16	19	the	the	DET
fumecheng-2259	16	20	material	material	NOUN
fumecheng-2259	16	21	length	length	NOUN
fumecheng-2259	16	22	scale	scale	NOUN
fumecheng-2259	16	23	parameter	parameter	NOUN
fumecheng-2259	16	24	;	;	PUNCT
fumecheng-2259	16	25	also	also	ADV
fumecheng-2259	16	26	,	,	PUNCT
fumecheng-2259	16	27	they	they	PRON
fumecheng-2259	16	28	are	be	AUX
fumecheng-2259	16	29	able	able	ADJ
fumecheng-2259	16	30	to	to	PART
fumecheng-2259	16	31	describe	describe	VERB
fumecheng-2259	16	32	size	size	NOUN
fumecheng-2259	16	33	effects	effect	NOUN
fumecheng-2259	16	34	on	on	ADP
fumecheng-2259	16	35	the	the	DET
fumecheng-2259	16	36	micro	micro	NOUN
fumecheng-2259	16	37	-	-	NOUN
fumecheng-2259	16	38	scale	scale	NOUN
fumecheng-2259	16	39	.	.	PUNCT
fumecheng-2259	17	1	on	on	ADP
fumecheng-2259	17	2	the	the	DET
fumecheng-2259	17	3	other	other	ADJ
fumecheng-2259	17	4	hand	hand	NOUN
fumecheng-2259	17	5	,	,	PUNCT
fumecheng-2259	17	6	the	the	DET
fumecheng-2259	17	7	classical	classical	ADJ
fumecheng-2259	17	8	continuum	continuum	ADJ
fumecheng-2259	17	9	mechanics	mechanic	NOUN
fumecheng-2259	17	10	theories	theory	NOUN
fumecheng-2259	17	11	neither	neither	CCONJ
fumecheng-2259	17	12	contain	contain	VERB
fumecheng-2259	17	13	any	any	DET
fumecheng-2259	17	14	internal	internal	ADJ
fumecheng-2259	17	15	material	material	NOUN
fumecheng-2259	17	16	length	length	NOUN
fumecheng-2259	17	17	scale	scale	NOUN
fumecheng-2259	17	18	parameter	parameter	NOUN
fumecheng-2259	17	19	nor	nor	CCONJ
fumecheng-2259	17	20	are	be	AUX
fumecheng-2259	17	21	they	they	PRON
fumecheng-2259	17	22	able	able	ADJ
fumecheng-2259	17	23	to	to	PART
fumecheng-2259	17	24	describe	describe	VERB
fumecheng-2259	17	25	these	these	DET
fumecheng-2259	17	26	effects	effect	NOUN
fumecheng-2259	17	27	.	.	PUNCT
fumecheng-2259	18	1	the	the	DET
fumecheng-2259	18	2	structural	structural	ADJ
fumecheng-2259	18	3	elements	element	NOUN
fumecheng-2259	18	4	such	such	ADJ
fumecheng-2259	18	5	as	as	ADP
fumecheng-2259	18	6	beams	beam	NOUN
fumecheng-2259	18	7	,	,	PUNCT
fumecheng-2259	18	8	plates	plate	NOUN
fumecheng-2259	18	9	,	,	PUNCT
fumecheng-2259	18	10	and	and	CCONJ
fumecheng-2259	18	11	membranes	membrane	NOUN
fumecheng-2259	18	12	in	in	ADP
fumecheng-2259	18	13	the	the	DET
fumecheng-2259	18	14	micro	micro	NOUN
fumecheng-2259	18	15	or	or	CCONJ
fumecheng-2259	18	16	nano	nano	NOUN
fumecheng-2259	18	17	length	length	NOUN
fumecheng-2259	18	18	scale	scale	NOUN
fumecheng-2259	18	19	are	be	AUX
fumecheng-2259	18	20	frequently	frequently	ADV
fumecheng-2259	18	21	used	use	VERB
fumecheng-2259	18	22	as	as	ADP
fumecheng-2259	18	23	components	component	NOUN
fumecheng-2259	18	24	in	in	ADP
fumecheng-2259	18	25	micro	micro	NOUN
fumecheng-2259	18	26	/	/	PROPN
fumecheng-2259	18	27	nano	nano	ADJ
fumecheng-2259	18	28	electromechanical	electromechanical	ADJ
fumecheng-2259	18	29	systems	system	NOUN
fumecheng-2259	18	30	(	(	PUNCT
fumecheng-2259	18	31	mems	mem	NOUN
fumecheng-2259	18	32	/	/	SYM
fumecheng-2259	18	33	nems	nem	NOUN
fumecheng-2259	18	34	)	)	PUNCT
fumecheng-2259	18	35	.	.	PUNCT
fumecheng-2259	19	1	with	with	ADP
fumecheng-2259	19	2	the	the	DET
fumecheng-2259	19	3	rapid	rapid	ADJ
fumecheng-2259	19	4	development	development	NOUN
fumecheng-2259	19	5	of	of	ADP
fumecheng-2259	19	6	technology	technology	NOUN
fumecheng-2259	19	7	,	,	PUNCT
fumecheng-2259	19	8	functionally	functionally	ADV
fumecheng-2259	19	9	graded	grade	VERB
fumecheng-2259	19	10	(	(	PUNCT
fumecheng-2259	19	11	fg	fg	NOUN
fumecheng-2259	19	12	)	)	PUNCT
fumecheng-2259	19	13	beams	beam	NOUN
fumecheng-2259	19	14	and	and	CCONJ
fumecheng-2259	19	15	plates	plate	NOUN
fumecheng-2259	19	16	are	be	AUX
fumecheng-2259	19	17	often	often	ADV
fumecheng-2259	19	18	used	use	VERB
fumecheng-2259	19	19	in	in	ADP
fumecheng-2259	19	20	mems	mem	NOUN
fumecheng-2259	19	21	/	/	SYM
fumecheng-2259	19	22	nems	nem	NOUN
fumecheng-2259	19	23	,	,	PUNCT
fumecheng-2259	19	24	such	such	ADJ
fumecheng-2259	19	25	as	as	ADP
fumecheng-2259	19	26	the	the	DET
fumecheng-2259	19	27	components	component	NOUN
fumecheng-2259	19	28	in	in	ADP
fumecheng-2259	19	29	the	the	DET
fumecheng-2259	19	30	shape	shape	NOUN
fumecheng-2259	19	31	of	of	ADP
fumecheng-2259	19	32	memory	memory	NOUN
fumecheng-2259	19	33	thin	thin	ADJ
fumecheng-2259	19	34	films	film	NOUN
fumecheng-2259	19	35	alloy	alloy	VERB
fumecheng-2259	19	36	with	with	ADP
fumecheng-2259	19	37	a	a	DET
fumecheng-2259	19	38	global	global	ADJ
fumecheng-2259	19	39	thickness	thickness	NOUN
fumecheng-2259	19	40	in	in	ADP
fumecheng-2259	19	41	the	the	DET
fumecheng-2259	19	42	micro	micro	ADJ
fumecheng-2259	19	43	/	/	SYM
fumecheng-2259	19	44	nano	nano	NOUN
fumecheng-2259	19	45	scale	scale	NOUN
fumecheng-2259	19	46	,	,	PUNCT
fumecheng-2259	19	47	atomic	atomic	ADJ
fumecheng-2259	19	48	force	force	NOUN
fumecheng-2259	19	49	microscopes	microscope	NOUN
fumecheng-2259	19	50	(	(	PUNCT
fumecheng-2259	19	51	afms	afms	PROPN
fumecheng-2259	19	52	)	)	PUNCT
fumecheng-2259	19	53	,	,	PUNCT
fumecheng-2259	19	54	and	and	CCONJ
fumecheng-2259	19	55	electrically	electrically	ADV
fumecheng-2259	19	56	actuated	actuate	VERB
fumecheng-2259	19	57	mems	mem	NOUN
fumecheng-2259	19	58	devices	device	NOUN
fumecheng-2259	20	1	[	[	X
fumecheng-2259	20	2	1–8	1–8	X
fumecheng-2259	20	3	]	]	X
fumecheng-2259	20	4	.	.	PUNCT
fumecheng-2259	21	1	as	as	SCONJ
fumecheng-2259	21	2	opposed	oppose	VERB
fumecheng-2259	21	3	to	to	ADP
fumecheng-2259	21	4	the	the	DET
fumecheng-2259	21	5	strain	strain	NOUN
fumecheng-2259	21	6	theories	theory	NOUN
fumecheng-2259	21	7	which	which	PRON
fumecheng-2259	21	8	were	be	AUX
fumecheng-2259	21	9	introduced	introduce	VERB
fumecheng-2259	21	10	by	by	ADP
fumecheng-2259	21	11	mindlin	mindlin	PROPN
fumecheng-2259	21	12	and	and	CCONJ
fumecheng-2259	21	13	eshel	eshel	VERB
fumecheng-2259	21	14	[	[	X
fumecheng-2259	21	15	9	9	NUM
fumecheng-2259	21	16	]	]	PUNCT
fumecheng-2259	21	17	,	,	PUNCT
fumecheng-2259	21	18	with	with	ADP
fumecheng-2259	21	19	five	five	NUM
fumecheng-2259	21	20	constants	constant	NOUN
fumecheng-2259	21	21	besides	besides	SCONJ
fumecheng-2259	21	22	the	the	DET
fumecheng-2259	21	23	lamé	lamé	NOUN
fumecheng-2259	21	24	constants	constant	NOUN
fumecheng-2259	21	25	,	,	PUNCT
fumecheng-2259	21	26	lam	lam	PROPN
fumecheng-2259	21	27	et	et	PROPN
fumecheng-2259	21	28	al	al	PROPN
fumecheng-2259	21	29	.	.	PUNCT
fumecheng-2259	22	1	[	[	X
fumecheng-2259	22	2	1	1	X
fumecheng-2259	22	3	]	]	PUNCT
fumecheng-2259	22	4	presented	present	VERB
fumecheng-2259	22	5	a	a	DET
fumecheng-2259	22	6	modified	modify	VERB
fumecheng-2259	22	7	theory	theory	NOUN
fumecheng-2259	22	8	consisting	consist	VERB
fumecheng-2259	22	9	of	of	ADP
fumecheng-2259	22	10	only	only	ADV
fumecheng-2259	22	11	three	three	NUM
fumecheng-2259	22	12	non	non	ADJ
fumecheng-2259	22	13	-	-	ADJ
fumecheng-2259	22	14	classical	classical	ADJ
fumecheng-2259	22	15	constants	constant	NOUN
fumecheng-2259	22	16	.	.	PUNCT
fumecheng-2259	23	1	wang	wang	PROPN
fumecheng-2259	23	2	et	et	PROPN
fumecheng-2259	23	3	al	al	PROPN
fumecheng-2259	23	4	.	.	PUNCT
fumecheng-2259	24	1	[	[	X
fumecheng-2259	24	2	10	10	NUM
fumecheng-2259	24	3	]	]	PUNCT
fumecheng-2259	24	4	used	use	VERB
fumecheng-2259	24	5	the	the	DET
fumecheng-2259	24	6	above	above	ADJ
fumecheng-2259	24	7	theory	theory	NOUN
fumecheng-2259	24	8	to	to	PART
fumecheng-2259	24	9	analyze	analyze	VERB
fumecheng-2259	24	10	the	the	DET
fumecheng-2259	24	11	behavior	behavior	NOUN
fumecheng-2259	24	12	of	of	ADP
fumecheng-2259	24	13	micro	micro	ADJ
fumecheng-2259	24	14	beams	beam	NOUN
fumecheng-2259	24	15	considering	consider	VERB
fumecheng-2259	24	16	euler	euler	NOUN
fumecheng-2259	24	17	–	–	PUNCT
fumecheng-2259	24	18	bernoulli	bernoulli	NOUN
fumecheng-2259	24	19	and	and	CCONJ
fumecheng-2259	24	20	timoshenko	timoshenko	NOUN
fumecheng-2259	24	21	beam	beam	NOUN
fumecheng-2259	24	22	theories	theory	NOUN
fumecheng-2259	24	23	.	.	PUNCT
fumecheng-2259	25	1	analysis	analysis	NOUN
fumecheng-2259	25	2	of	of	ADP
fumecheng-2259	25	3	bending	bend	VERB
fumecheng-2259	25	4	and	and	CCONJ
fumecheng-2259	25	5	buckling	buckling	NOUN
fumecheng-2259	25	6	of	of	ADP
fumecheng-2259	25	7	a	a	DET
fumecheng-2259	25	8	thin	thin	ADJ
fumecheng-2259	25	9	beam	beam	NOUN
fumecheng-2259	25	10	were	be	AUX
fumecheng-2259	25	11	presented	present	VERB
fumecheng-2259	25	12	by	by	ADP
fumecheng-2259	25	13	lazopoulos	lazopoulo	NOUN
fumecheng-2259	25	14	and	and	CCONJ
fumecheng-2259	25	15	lazopoulos	lazopoulo	NOUN
fumecheng-2259	25	16	[	[	X
fumecheng-2259	25	17	11	11	NUM
fumecheng-2259	25	18	]	]	PUNCT
fumecheng-2259	25	19	.	.	PUNCT
fumecheng-2259	26	1	these	these	DET
fumecheng-2259	26	2	results	result	NOUN
fumecheng-2259	26	3	imply	imply	VERB
fumecheng-2259	26	4	that	that	SCONJ
fumecheng-2259	26	5	the	the	DET
fumecheng-2259	26	6	gradient	gradient	ADJ
fumecheng-2259	26	7	coefficient	coefficient	NOUN
fumecheng-2259	26	8	has	have	VERB
fumecheng-2259	26	9	a	a	DET
fumecheng-2259	26	10	significant	significant	ADJ
fumecheng-2259	26	11	effect	effect	NOUN
fumecheng-2259	26	12	on	on	ADP
fumecheng-2259	26	13	the	the	DET
fumecheng-2259	26	14	buckling	buckle	VERB
fumecheng-2259	26	15	load	load	NOUN
fumecheng-2259	26	16	while	while	SCONJ
fumecheng-2259	26	17	the	the	DET
fumecheng-2259	26	18	surface	surface	NOUN
fumecheng-2259	26	19	effect	effect	NOUN
fumecheng-2259	26	20	of	of	ADP
fumecheng-2259	26	21	the	the	DET
fumecheng-2259	26	22	energy	energy	NOUN
fumecheng-2259	26	23	is	be	AUX
fumecheng-2259	26	24	negligible	negligible	ADJ
fumecheng-2259	26	25	.	.	PUNCT
fumecheng-2259	27	1	the	the	DET
fumecheng-2259	27	2	modified	modify	VERB
fumecheng-2259	27	3	couple	couple	NOUN
fumecheng-2259	27	4	stress	stress	NOUN
fumecheng-2259	27	5	theory	theory	NOUN
fumecheng-2259	27	6	has	have	AUX
fumecheng-2259	27	7	been	be	AUX
fumecheng-2259	27	8	used	use	VERB
fumecheng-2259	27	9	by	by	ADP
fumecheng-2259	27	10	many	many	ADJ
fumecheng-2259	27	11	authors	author	NOUN
fumecheng-2259	27	12	just	just	ADV
fumecheng-2259	27	13	as	as	SCONJ
fumecheng-2259	27	14	it	it	PRON
fumecheng-2259	27	15	has	have	AUX
fumecheng-2259	27	16	been	be	AUX
fumecheng-2259	27	17	mostly	mostly	ADV
fumecheng-2259	27	18	applied	apply	VERB
fumecheng-2259	27	19	to	to	ADP
fumecheng-2259	27	20	micro	micro	ADJ
fumecheng-2259	27	21	beams	beam	NOUN
fumecheng-2259	27	22	.	.	PUNCT
fumecheng-2259	28	1	the	the	DET
fumecheng-2259	28	2	non	non	ADJ
fumecheng-2259	28	3	-	-	ADJ
fumecheng-2259	28	4	local	local	ADJ
fumecheng-2259	28	5	bernoulli	bernoulli	PROPN
fumecheng-2259	28	6	–	–	PUNCT
fumecheng-2259	28	7	euler	euler	NOUN
fumecheng-2259	28	8	beam	beam	PROPN
fumecheng-2259	28	9	model	model	NOUN
fumecheng-2259	28	10	was	be	AUX
fumecheng-2259	28	11	proposed	propose	VERB
fumecheng-2259	28	12	by	by	ADP
fumecheng-2259	28	13	peddieson	peddieson	PROPN
fumecheng-2259	28	14	et	et	PROPN
fumecheng-2259	28	15	al	al	PROPN
fumecheng-2259	28	16	.	.	PUNCT
fumecheng-2259	29	1	[	[	X
fumecheng-2259	29	2	12	12	NUM
fumecheng-2259	29	3	]	]	PUNCT
fumecheng-2259	29	4	,	,	PUNCT
fumecheng-2259	29	5	using	use	VERB
fumecheng-2259	29	6	a	a	DET
fumecheng-2259	29	7	constitutive	constitutive	ADJ
fumecheng-2259	29	8	equation	equation	NOUN
fumecheng-2259	29	9	after	after	ADP
fumecheng-2259	29	10	eringen	eringen	PROPN
fumecheng-2259	29	11	et	et	PROPN
fumecheng-2259	29	12	al	al	PROPN
fumecheng-2259	29	13	.	.	PUNCT
fumecheng-2259	30	1	[	[	X
fumecheng-2259	30	2	13	13	NUM
fumecheng-2259	30	3	]	]	PUNCT
fumecheng-2259	30	4	which	which	PRON
fumecheng-2259	30	5	contains	contain	VERB
fumecheng-2259	30	6	two	two	NUM
fumecheng-2259	30	7	additional	additional	ADJ
fumecheng-2259	30	8	material	material	NOUN
fumecheng-2259	30	9	constants	constant	NOUN
fumecheng-2259	30	10	.	.	PUNCT
fumecheng-2259	31	1	the	the	DET
fumecheng-2259	31	2	non	non	ADJ
fumecheng-2259	31	3	-	-	ADJ
fumecheng-2259	31	4	local	local	ADJ
fumecheng-2259	31	5	theories	theory	NOUN
fumecheng-2259	31	6	for	for	ADP
fumecheng-2259	31	7	the	the	DET
fumecheng-2259	31	8	bernoulli	bernoulli	PROPN
fumecheng-2259	31	9	–	–	PUNCT
fumecheng-2259	31	10	euler	euler	NOUN
fumecheng-2259	31	11	,	,	PUNCT
fumecheng-2259	31	12	timoshenko	timoshenko	NOUN
fumecheng-2259	31	13	,	,	PUNCT
fumecheng-2259	31	14	reddy	reddy	NOUN
fumecheng-2259	31	15	,	,	PUNCT
fumecheng-2259	31	16	and	and	CCONJ
fumecheng-2259	31	17	levinson	levinson	PROPN
fumecheng-2259	31	18	beams	beam	NOUN
fumecheng-2259	31	19	were	be	AUX
fumecheng-2259	31	20	developed	develop	VERB
fumecheng-2259	31	21	by	by	ADP
fumecheng-2259	31	22	reddy	reddy	PROPN
fumecheng-2259	32	1	[	[	X
fumecheng-2259	32	2	14	14	NUM
fumecheng-2259	32	3	]	]	PUNCT
fumecheng-2259	32	4	in	in	ADP
fumecheng-2259	32	5	a	a	DET
fumecheng-2259	32	6	unified	unified	ADJ
fumecheng-2259	32	7	way	way	NOUN
fumecheng-2259	32	8	using	use	VERB
fumecheng-2259	32	9	the	the	DET
fumecheng-2259	32	10	hamilton	hamilton	PROPN
fumecheng-2259	32	11	principle	principle	PROPN
fumecheng-2259	32	12	and	and	CCONJ
fumecheng-2259	32	13	the	the	DET
fumecheng-2259	32	14	non	non	ADJ
fumecheng-2259	32	15	-	-	ADJ
fumecheng-2259	32	16	local	local	ADJ
fumecheng-2259	32	17	constitutive	constitutive	ADJ
fumecheng-2259	32	18	relation	relation	NOUN
fumecheng-2259	32	19	of	of	ADP
fumecheng-2259	32	20	eringen	eringen	PROPN
fumecheng-2259	32	21	et	et	PROPN
fumecheng-2259	32	22	al	al	PROPN
fumecheng-2259	32	23	.	.	PUNCT
fumecheng-2259	33	1	[	[	X
fumecheng-2259	33	2	13	13	NUM
fumecheng-2259	33	3	]	]	PUNCT
fumecheng-2259	33	4	.	.	PUNCT
fumecheng-2259	33	5	park	park	NOUN
fumecheng-2259	33	6	and	and	CCONJ
fumecheng-2259	33	7	gao	gao	PROPN
fumecheng-2259	33	8	[	[	X
fumecheng-2259	33	9	18	18	NUM
fumecheng-2259	33	10	]	]	PUNCT
fumecheng-2259	33	11	used	use	VERB
fumecheng-2259	33	12	a	a	DET
fumecheng-2259	33	13	modified	modify	VERB
fumecheng-2259	33	14	couple	couple	NOUN
fumecheng-2259	33	15	stress	stress	NOUN
fumecheng-2259	33	16	theory	theory	NOUN
fumecheng-2259	33	17	with	with	ADP
fumecheng-2259	33	18	an	an	DET
fumecheng-2259	33	19	euler	euler	VERB
fumecheng-2259	33	20	-	-	PUNCT
fumecheng-2259	33	21	bernoulli	bernoulli	NOUN
fumecheng-2259	33	22	formulation	formulation	NOUN
fumecheng-2259	33	23	for	for	ADP
fumecheng-2259	33	24	the	the	DET
fumecheng-2259	33	25	bending	bend	VERB
fumecheng-2259	33	26	analysis	analysis	NOUN
fumecheng-2259	33	27	of	of	ADP
fumecheng-2259	33	28	cantilever	cantilever	NOUN
fumecheng-2259	33	29	beams	beam	NOUN
fumecheng-2259	33	30	.	.	PUNCT
fumecheng-2259	34	1	ma	ma	PROPN
fumecheng-2259	34	2	et	et	PROPN
fumecheng-2259	34	3	al	al	PROPN
fumecheng-2259	34	4	.	.	PUNCT
fumecheng-2259	35	1	[	[	X
fumecheng-2259	35	2	19	19	NUM
fumecheng-2259	35	3	]	]	PUNCT
fumecheng-2259	35	4	and	and	CCONJ
fumecheng-2259	35	5	reddy	reddy	PROPN
fumecheng-2259	35	6	et	et	PROPN
fumecheng-2259	35	7	al	al	PROPN
fumecheng-2259	35	8	.	.	PUNCT
fumecheng-2259	36	1	[	[	X
fumecheng-2259	36	2	17	17	NUM
fumecheng-2259	36	3	]	]	PUNCT
fumecheng-2259	36	4	developed	develop	VERB
fumecheng-2259	36	5	a	a	DET
fumecheng-2259	36	6	modified	modified	ADJ
fumecheng-2259	36	7	timoshenko	timoshenko	NOUN
fumecheng-2259	36	8	beam	beam	NOUN
fumecheng-2259	36	9	theory	theory	NOUN
fumecheng-2259	36	10	and	and	CCONJ
fumecheng-2259	36	11	investigation	investigation	NOUN
fumecheng-2259	36	12	of	of	ADP
fumecheng-2259	36	13	the	the	DET
fumecheng-2259	36	14	bending	bending	NOUN
fumecheng-2259	36	15	and	and	CCONJ
fumecheng-2259	36	16	free	free	ADJ
fumecheng-2259	36	17	vibration	vibration	NOUN
fumecheng-2259	36	18	of	of	ADP
fumecheng-2259	36	19	simplysupported	simplysupporte	VERB
fumecheng-2259	36	20	beams	beam	NOUN
fumecheng-2259	36	21	using	use	VERB
fumecheng-2259	36	22	the	the	DET
fumecheng-2259	36	23	navier	navier	NOUN
fumecheng-2259	36	24	solution	solution	NOUN
fumecheng-2259	36	25	process	process	NOUN
fumecheng-2259	36	26	and	and	CCONJ
fumecheng-2259	36	27	finite	finite	ADJ
fumecheng-2259	36	28	elements	element	NOUN
fumecheng-2259	36	29	method	method	NOUN
fumecheng-2259	36	30	.	.	PUNCT
fumecheng-2259	37	1	the	the	DET
fumecheng-2259	37	2	buckling	buckle	VERB
fumecheng-2259	37	3	analysis	analysis	NOUN
fumecheng-2259	37	4	of	of	ADP
fumecheng-2259	37	5	functionally	functionally	ADV
fumecheng-2259	37	6	graded	grade	VERB
fumecheng-2259	37	7	micro	micro	ADJ
fumecheng-2259	37	8	beams	beam	NOUN
fumecheng-2259	37	9	based	base	VERB
fumecheng-2259	37	10	on	on	ADP
fumecheng-2259	37	11	the	the	DET
fumecheng-2259	37	12	mcst	mcst	NOUN
fumecheng-2259	37	13	is	be	AUX
fumecheng-2259	37	14	presented	present	VERB
fumecheng-2259	37	15	in	in	ADP
fumecheng-2259	37	16	nateghi	nateghi	PROPN
fumecheng-2259	37	17	et	et	PROPN
fumecheng-2259	37	18	al	al	PROPN
fumecheng-2259	37	19	.	.	PUNCT
fumecheng-2259	38	1	[	[	X
fumecheng-2259	38	2	20	20	NUM
fumecheng-2259	38	3	]	]	PUNCT
fumecheng-2259	38	4	.	.	PUNCT
fumecheng-2259	39	1	the	the	DET
fumecheng-2259	39	2	free	free	ADJ
fumecheng-2259	39	3	vibration	vibration	NOUN
fumecheng-2259	39	4	of	of	ADP
fumecheng-2259	39	5	a	a	DET
fumecheng-2259	39	6	single	single	ADJ
fumecheng-2259	39	7	-	-	PUNCT
fumecheng-2259	39	8	layered	layer	VERB
fumecheng-2259	39	9	graphene	graphene	NOUN
fumecheng-2259	39	10	sheet	sheet	NOUN
fumecheng-2259	39	11	resting	rest	VERB
fumecheng-2259	39	12	on	on	ADP
fumecheng-2259	39	13	an	an	DET
fumecheng-2259	39	14	elastic	elastic	ADJ
fumecheng-2259	39	15	matrix	matrix	NOUN
fumecheng-2259	39	16	as	as	SCONJ
fumecheng-2259	39	17	a	a	DET
fumecheng-2259	39	18	pasternak	pasternak	PROPN
fumecheng-2259	39	19	foundation	foundation	NOUN
fumecheng-2259	39	20	model	model	NOUN
fumecheng-2259	39	21	explored	explore	VERB
fumecheng-2259	39	22	by	by	ADP
fumecheng-2259	39	23	using	use	VERB
fumecheng-2259	39	24	the	the	DET
fumecheng-2259	39	25	modified	modify	VERB
fumecheng-2259	39	26	couple	couple	NOUN
fumecheng-2259	39	27	stress	stress	NOUN
fumecheng-2259	39	28	theory	theory	NOUN
fumecheng-2259	39	29	is	be	AUX
fumecheng-2259	39	30	presented	present	VERB
fumecheng-2259	39	31	by	by	ADP
fumecheng-2259	39	32	bekir	bekir	NOUN
fumecheng-2259	39	33	and	and	CCONJ
fumecheng-2259	39	34	civalek	civalek	VERB
fumecheng-2259	39	35	[	[	X
fumecheng-2259	39	36	21	21	NUM
fumecheng-2259	39	37	]	]	PUNCT
fumecheng-2259	39	38	.	.	PUNCT
fumecheng-2259	40	1	m.	m.	NOUN
fumecheng-2259	40	2	simsek	simsek	PROPN
fumecheng-2259	40	3	and	and	CCONJ
fumecheng-2259	40	4	reddy	reddy	PROPN
fumecheng-2259	41	1	[	[	X
fumecheng-2259	41	2	22	22	NUM
fumecheng-2259	41	3	]	]	PUNCT
fumecheng-2259	41	4	developed	develop	VERB
fumecheng-2259	41	5	a	a	DET
fumecheng-2259	41	6	united	united	ADJ
fumecheng-2259	41	7	higher	high	ADJ
fumecheng-2259	41	8	order	order	NOUN
fumecheng-2259	41	9	beam	beam	NOUN
fumecheng-2259	41	10	theory	theory	NOUN
fumecheng-2259	41	11	for	for	ADP
fumecheng-2259	41	12	a	a	DET
fumecheng-2259	41	13	functionally	functionally	ADV
fumecheng-2259	41	14	graded	grade	VERB
fumecheng-2259	41	15	(	(	PUNCT
fumecheng-2259	41	16	fg	fg	NOUN
fumecheng-2259	41	17	)	)	PUNCT
fumecheng-2259	41	18	microbeam	microbeam	NOUN
fumecheng-2259	41	19	embedded	embed	VERB
fumecheng-2259	41	20	in	in	ADP
fumecheng-2259	41	21	an	an	DET
fumecheng-2259	41	22	elastic	elastic	ADJ
fumecheng-2259	41	23	pasternak	pasternak	NOUN
fumecheng-2259	41	24	medium	medium	NOUN
fumecheng-2259	41	25	using	use	VERB
fumecheng-2259	41	26	the	the	DET
fumecheng-2259	41	27	modified	modify	VERB
fumecheng-2259	41	28	couple	couple	NOUN
fumecheng-2259	41	29	stress	stress	NOUN
fumecheng-2259	41	30	theory	theory	NOUN
fumecheng-2259	41	31	.	.	PUNCT
fumecheng-2259	42	1	in	in	ADP
fumecheng-2259	42	2	the	the	DET
fumecheng-2259	42	3	paper	paper	NOUN
fumecheng-2259	42	4	of	of	ADP
fumecheng-2259	42	5	hendou	hendou	NOUN
fumecheng-2259	42	6	and	and	CCONJ
fumecheng-2259	42	7	mohammadi	mohammadi	NOUN
fumecheng-2259	42	8	[	[	X
fumecheng-2259	42	9	23	23	NUM
fumecheng-2259	42	10	]	]	PUNCT
fumecheng-2259	42	11	,	,	PUNCT
fumecheng-2259	42	12	an	an	DET
fumecheng-2259	42	13	euler	euler	NOUN
fumecheng-2259	42	14	–	–	PUNCT
fumecheng-2259	42	15	bernoulli	bernoulli	NOUN
fumecheng-2259	42	16	model	model	NOUN
fumecheng-2259	42	17	has	have	AUX
fumecheng-2259	42	18	been	be	AUX
fumecheng-2259	42	19	used	use	VERB
fumecheng-2259	42	20	for	for	ADP
fumecheng-2259	42	21	vibration	vibration	NOUN
fumecheng-2259	42	22	analysis	analysis	NOUN
fumecheng-2259	42	23	of	of	ADP
fumecheng-2259	42	24	micro	micro	NOUN
fumecheng-2259	42	25	-	-	NOUN
fumecheng-2259	42	26	beams	beam	NOUN
fumecheng-2259	42	27	with	with	ADP
fumecheng-2259	42	28	large	large	ADJ
fumecheng-2259	42	29	transverse	transverse	NOUN
fumecheng-2259	42	30	deflection	deflection	NOUN
fumecheng-2259	42	31	where	where	SCONJ
fumecheng-2259	42	32	thermoelastic	thermoelastic	ADJ
fumecheng-2259	42	33	damping	damping	NOUN
fumecheng-2259	42	34	is	be	AUX
fumecheng-2259	42	35	considered	consider	VERB
fumecheng-2259	42	36	to	to	PART
fumecheng-2259	42	37	be	be	AUX
fumecheng-2259	42	38	the	the	DET
fumecheng-2259	42	39	main	main	ADJ
fumecheng-2259	42	40	damping	damp	VERB
fumecheng-2259	42	41	mechanism	mechanism	NOUN
fumecheng-2259	42	42	and	and	CCONJ
fumecheng-2259	42	43	displayed	display	VERB
fumecheng-2259	42	44	as	as	ADP
fumecheng-2259	42	45	imaginary	imaginary	ADJ
fumecheng-2259	42	46	stiffness	stiffness	NOUN
fumecheng-2259	42	47	into	into	ADP
fumecheng-2259	42	48	the	the	DET
fumecheng-2259	42	49	equation	equation	NOUN
fumecheng-2259	42	50	of	of	ADP
fumecheng-2259	42	51	motion	motion	NOUN
fumecheng-2259	42	52	by	by	ADP
fumecheng-2259	42	53	evaluating	evaluate	VERB
fumecheng-2259	42	54	the	the	DET
fumecheng-2259	42	55	temperature	temperature	NOUN
fumecheng-2259	42	56	profile	profile	NOUN
fumecheng-2259	42	57	as	as	ADP
fumecheng-2259	42	58	a	a	DET
fumecheng-2259	42	59	function	function	NOUN
fumecheng-2259	42	60	of	of	ADP
fumecheng-2259	42	61	lateral	lateral	ADJ
fumecheng-2259	42	62	displacement	displacement	NOUN
fumecheng-2259	42	63	.	.	PUNCT
fumecheng-2259	43	1	free	free	ADJ
fumecheng-2259	43	2	vibration	vibration	NOUN
fumecheng-2259	43	3	and	and	CCONJ
fumecheng-2259	43	4	buckling	buckling	NOUN
fumecheng-2259	43	5	of	of	ADP
fumecheng-2259	43	6	microbeams	microbeam	NOUN
fumecheng-2259	43	7	with	with	ADP
fumecheng-2259	43	8	the	the	DET
fumecheng-2259	43	9	temperature	temperature	NOUN
fumecheng-2259	43	10	change	change	NOUN
fumecheng-2259	43	11	effect	effect	NOUN
fumecheng-2259	43	12	is	be	AUX
fumecheng-2259	43	13	presented	present	VERB
fumecheng-2259	43	14	by	by	ADP
fumecheng-2259	43	15	ke	ke	PROPN
fumecheng-2259	43	16	et	et	PROPN
fumecheng-2259	43	17	al	al	PROPN
fumecheng-2259	43	18	.	.	PUNCT
fumecheng-2259	44	1	[	[	X
fumecheng-2259	44	2	24	24	NUM
fumecheng-2259	44	3	]	]	PUNCT
fumecheng-2259	44	4	.	.	PUNCT
fumecheng-2259	45	1	the	the	DET
fumecheng-2259	45	2	finding	finding	NOUN
fumecheng-2259	45	3	that	that	SCONJ
fumecheng-2259	45	4	the	the	DET
fumecheng-2259	45	5	thermal	thermal	ADJ
fumecheng-2259	45	6	effect	effect	NOUN
fumecheng-2259	45	7	on	on	ADP
fumecheng-2259	45	8	the	the	DET
fumecheng-2259	45	9	fundamental	fundamental	ADJ
fumecheng-2259	45	10	frequency	frequency	NOUN
fumecheng-2259	45	11	and	and	CCONJ
fumecheng-2259	45	12	critical	critical	ADJ
fumecheng-2259	45	13	buckling	buckling	NOUN
fumecheng-2259	45	14	load	load	NOUN
fumecheng-2259	45	15	is	be	AUX
fumecheng-2259	45	16	very	very	ADV
fumecheng-2259	45	17	low	low	ADJ
fumecheng-2259	45	18	when	when	SCONJ
fumecheng-2259	45	19	the	the	DET
fumecheng-2259	45	20	thickness	thickness	NOUN
fumecheng-2259	45	21	of	of	ADP
fumecheng-2259	45	22	the	the	DET
fumecheng-2259	45	23	microbeam	microbeam	NOUN
fumecheng-2259	45	24	has	have	VERB
fumecheng-2259	45	25	a	a	DET
fumecheng-2259	45	26	similar	similar	ADJ
fumecheng-2259	45	27	value	value	NOUN
fumecheng-2259	45	28	to	to	ADP
fumecheng-2259	45	29	that	that	PRON
fumecheng-2259	45	30	of	of	ADP
fumecheng-2259	45	31	the	the	DET
fumecheng-2259	45	32	material	material	NOUN
fumecheng-2259	45	33	length	length	NOUN
fumecheng-2259	45	34	scale	scale	NOUN
fumecheng-2259	45	35	parameter	parameter	NOUN
fumecheng-2259	45	36	and	and	CCONJ
fumecheng-2259	45	37	that	that	SCONJ
fumecheng-2259	45	38	it	it	PRON
fumecheng-2259	45	39	becomes	become	VERB
fumecheng-2259	45	40	significant	significant	ADJ
fumecheng-2259	45	41	when	when	SCONJ
fumecheng-2259	45	42	the	the	DET
fumecheng-2259	45	43	thickness	thickness	NOUN
fumecheng-2259	45	44	of	of	ADP
fumecheng-2259	45	45	the	the	DET
fumecheng-2259	45	46	microbeam	microbeam	NOUN
fumecheng-2259	45	47	becomes	become	VERB
fumecheng-2259	45	48	larger	large	ADJ
fumecheng-2259	45	49	,	,	PUNCT
fumecheng-2259	45	50	was	be	AUX
fumecheng-2259	45	51	of	of	ADP
fumecheng-2259	45	52	particular	particular	ADJ
fumecheng-2259	45	53	interest	interest	NOUN
fumecheng-2259	45	54	,	,	PUNCT
fumecheng-2259	45	55	and	and	CCONJ
fumecheng-2259	45	56	the	the	DET
fumecheng-2259	45	57	present	present	ADJ
fumecheng-2259	45	58	paper	paper	NOUN
fumecheng-2259	45	59	considers	consider	VERB
fumecheng-2259	45	60	what	what	PRON
fumecheng-2259	45	61	may	may	AUX
fumecheng-2259	45	62	happen	happen	VERB
fumecheng-2259	45	63	with	with	ADP
fumecheng-2259	45	64	a	a	DET
fumecheng-2259	45	65	double	double	ADJ
fumecheng-2259	45	66	microbeam	microbeam	NOUN
fumecheng-2259	45	67	system	system	NOUN
fumecheng-2259	45	68	.	.	PUNCT
fumecheng-2259	46	1	scientists	scientist	NOUN
fumecheng-2259	46	2	are	be	AUX
fumecheng-2259	46	3	trying	try	VERB
fumecheng-2259	46	4	to	to	PART
fumecheng-2259	46	5	comprehend	comprehend	VERB
fumecheng-2259	46	6	the	the	DET
fumecheng-2259	46	7	vibration	vibration	NOUN
fumecheng-2259	46	8	behavior	behavior	NOUN
fumecheng-2259	46	9	of	of	ADP
fumecheng-2259	46	10	micro	micro	NOUN
fumecheng-2259	46	11	/	/	SYM
fumecheng-2259	46	12	nano	nano	NOUN
fumecheng-2259	46	13	structures	structure	NOUN
fumecheng-2259	46	14	with	with	ADP
fumecheng-2259	46	15	the	the	DET
fumecheng-2259	46	16	effect	effect	NOUN
fumecheng-2259	46	17	of	of	ADP
fumecheng-2259	46	18	temperature	temperature	NOUN
fumecheng-2259	46	19	changes	change	NOUN
fumecheng-2259	46	20	.	.	PUNCT
fumecheng-2259	47	1	primarily	primarily	ADV
fumecheng-2259	47	2	motivated	motivate	VERB
fumecheng-2259	47	3	by	by	ADP
fumecheng-2259	47	4	the	the	DET
fumecheng-2259	47	5	last	last	ADJ
fumecheng-2259	47	6	few	few	ADJ
fumecheng-2259	47	7	studies	study	NOUN
fumecheng-2259	47	8	[	[	X
fumecheng-2259	47	9	22	22	NUM
fumecheng-2259	47	10	,	,	PUNCT
fumecheng-2259	47	11	thermal	thermal	ADJ
fumecheng-2259	47	12	effect	effect	NOUN
fumecheng-2259	47	13	on	on	ADP
fumecheng-2259	47	14	the	the	DET
fumecheng-2259	47	15	free	free	ADJ
fumecheng-2259	47	16	vibration	vibration	NOUN
fumecheng-2259	47	17	and	and	CCONJ
fumecheng-2259	47	18	buckling	buckling	NOUN
fumecheng-2259	47	19	of	of	ADP
fumecheng-2259	47	20	a	a	DET
fumecheng-2259	47	21	double	double	ADJ
fumecheng-2259	47	22	-	-	PUNCT
fumecheng-2259	47	23	microbeam	microbeam	NOUN
fumecheng-2259	47	24	system	system	NOUN
fumecheng-2259	47	25	47	47	NUM
fumecheng-2259	47	26	23	23	NUM
fumecheng-2259	47	27	,	,	PUNCT
fumecheng-2259	47	28	24	24	NUM
fumecheng-2259	47	29	]	]	PUNCT
fumecheng-2259	47	30	,	,	PUNCT
fumecheng-2259	47	31	this	this	DET
fumecheng-2259	47	32	paper	paper	NOUN
fumecheng-2259	47	33	analyzes	analyze	VERB
fumecheng-2259	47	34	the	the	DET
fumecheng-2259	47	35	free	free	ADJ
fumecheng-2259	47	36	vibration	vibration	NOUN
fumecheng-2259	47	37	and	and	CCONJ
fumecheng-2259	47	38	buckling	buckle	VERB
fumecheng-2259	47	39	behavior	behavior	NOUN
fumecheng-2259	47	40	with	with	ADP
fumecheng-2259	47	41	the	the	DET
fumecheng-2259	47	42	temperature	temperature	NOUN
fumecheng-2259	47	43	change	change	NOUN
fumecheng-2259	47	44	effect	effect	NOUN
fumecheng-2259	47	45	of	of	ADP
fumecheng-2259	47	46	the	the	DET
fumecheng-2259	47	47	euler	euler	PROPN
fumecheng-2259	47	48	-	-	PUNCT
fumecheng-2259	47	49	bernoulli	bernoulli	PROPN
fumecheng-2259	47	50	double	double	ADJ
fumecheng-2259	47	51	-	-	PUNCT
fumecheng-2259	47	52	microbeam	microbeam	NOUN
fumecheng-2259	47	53	system	system	NOUN
fumecheng-2259	47	54	(	(	PUNCT
fumecheng-2259	47	55	ebdmbs	ebdmbs	ADJ
fumecheng-2259	47	56	)	)	PUNCT
fumecheng-2259	47	57	.	.	PUNCT
fumecheng-2259	48	1	to	to	PART
fumecheng-2259	48	2	solve	solve	VERB
fumecheng-2259	48	3	the	the	DET
fumecheng-2259	48	4	higher	high	ADJ
fumecheng-2259	48	5	-	-	PUNCT
fumecheng-2259	48	6	order	order	NOUN
fumecheng-2259	48	7	main	main	ADJ
fumecheng-2259	48	8	equations	equation	NOUN
fumecheng-2259	48	9	of	of	ADP
fumecheng-2259	48	10	the	the	DET
fumecheng-2259	48	11	ebdmbs	ebdmb	NOUN
fumecheng-2259	48	12	we	we	PRON
fumecheng-2259	48	13	use	use	VERB
fumecheng-2259	48	14	the	the	DET
fumecheng-2259	48	15	bernoulli	bernoulli	NOUN
fumecheng-2259	48	16	–	–	PUNCT
fumecheng-2259	48	17	fourier	fourier	NOUN
fumecheng-2259	48	18	method	method	NOUN
fumecheng-2259	48	19	.	.	PUNCT
fumecheng-2259	49	1	the	the	DET
fumecheng-2259	49	2	system	system	NOUN
fumecheng-2259	49	3	is	be	AUX
fumecheng-2259	49	4	composed	compose	VERB
fumecheng-2259	49	5	of	of	ADP
fumecheng-2259	49	6	two	two	NUM
fumecheng-2259	49	7	identical	identical	ADJ
fumecheng-2259	49	8	and	and	CCONJ
fumecheng-2259	49	9	parallel	parallel	ADJ
fumecheng-2259	49	10	,	,	PUNCT
fumecheng-2259	49	11	simply	simply	ADV
fumecheng-2259	49	12	-	-	PUNCT
fumecheng-2259	49	13	supported	support	VERB
fumecheng-2259	49	14	beams	beam	NOUN
fumecheng-2259	49	15	which	which	PRON
fumecheng-2259	49	16	are	be	AUX
fumecheng-2259	49	17	continuously	continuously	ADV
fumecheng-2259	49	18	joined	join	VERB
fumecheng-2259	49	19	by	by	ADP
fumecheng-2259	49	20	the	the	DET
fumecheng-2259	49	21	pasternak	pasternak	NOUN
fumecheng-2259	49	22	’s	’s	PART
fumecheng-2259	49	23	elastic	elastic	ADJ
fumecheng-2259	49	24	layer	layer	NOUN
fumecheng-2259	49	25	.	.	PUNCT
fumecheng-2259	50	1	it	it	PRON
fumecheng-2259	50	2	is	be	AUX
fumecheng-2259	50	3	assumed	assume	VERB
fumecheng-2259	50	4	that	that	SCONJ
fumecheng-2259	50	5	the	the	DET
fumecheng-2259	50	6	temperature	temperature	NOUN
fumecheng-2259	50	7	change	change	NOUN
fumecheng-2259	50	8	effect	effect	NOUN
fumecheng-2259	50	9	has	have	VERB
fumecheng-2259	50	10	an	an	DET
fumecheng-2259	50	11	impact	impact	NOUN
fumecheng-2259	50	12	on	on	ADP
fumecheng-2259	50	13	both	both	CCONJ
fumecheng-2259	50	14	the	the	DET
fumecheng-2259	50	15	microbeams	microbeam	NOUN
fumecheng-2259	50	16	.	.	PUNCT
fumecheng-2259	51	1	the	the	DET
fumecheng-2259	51	2	length	length	NOUN
fumecheng-2259	51	3	scale	scale	NOUN
fumecheng-2259	51	4	parameter	parameter	NOUN
fumecheng-2259	51	5	,	,	PUNCT
fumecheng-2259	51	6	temperature	temperature	NOUN
fumecheng-2259	51	7	change	change	NOUN
fumecheng-2259	51	8	effect	effect	NOUN
fumecheng-2259	51	9	,	,	PUNCT
fumecheng-2259	51	10	critical	critical	ADJ
fumecheng-2259	51	11	buckling	buckling	NOUN
fumecheng-2259	51	12	load	load	NOUN
fumecheng-2259	51	13	,	,	PUNCT
fumecheng-2259	51	14	thickness	thickness	NOUN
fumecheng-2259	51	15	/	/	SYM
fumecheng-2259	51	16	material	material	NOUN
fumecheng-2259	51	17	parameter	parameter	NOUN
fumecheng-2259	51	18	,	,	PUNCT
fumecheng-2259	51	19	pasternak	pasternak	PROPN
fumecheng-2259	51	20	’s	’s	PART
fumecheng-2259	51	21	parameter	parameter	NOUN
fumecheng-2259	51	22	and	and	CCONJ
fumecheng-2259	51	23	poisson	poisson	PROPN
fumecheng-2259	51	24	’s	’s	PART
fumecheng-2259	51	25	effect	effect	NOUN
fumecheng-2259	51	26	are	be	AUX
fumecheng-2259	51	27	discussed	discuss	VERB
fumecheng-2259	51	28	in	in	ADP
fumecheng-2259	51	29	detail	detail	NOUN
fumecheng-2259	51	30	.	.	PUNCT
fumecheng-2259	52	1	the	the	DET
fumecheng-2259	52	2	paper	paper	NOUN
fumecheng-2259	52	3	presents	present	VERB
fumecheng-2259	52	4	the	the	DET
fumecheng-2259	52	5	impact	impact	NOUN
fumecheng-2259	52	6	of	of	ADP
fumecheng-2259	52	7	different	different	ADJ
fumecheng-2259	52	8	above	above	ADV
fumecheng-2259	52	9	-	-	PUNCT
fumecheng-2259	52	10	mentioned	mention	VERB
fumecheng-2259	52	11	parameters	parameter	NOUN
fumecheng-2259	52	12	on	on	ADP
fumecheng-2259	52	13	the	the	DET
fumecheng-2259	52	14	natural	natural	ADJ
fumecheng-2259	52	15	frequency	frequency	NOUN
fumecheng-2259	52	16	,	,	PUNCT
fumecheng-2259	52	17	frequency	frequency	NOUN
fumecheng-2259	52	18	under	under	ADP
fumecheng-2259	52	19	compressive	compressive	ADJ
fumecheng-2259	52	20	axial	axial	ADJ
fumecheng-2259	52	21	loading	loading	NOUN
fumecheng-2259	52	22	,	,	PUNCT
fumecheng-2259	52	23	critical	critical	ADJ
fumecheng-2259	52	24	buckling	buckling	NOUN
fumecheng-2259	52	25	load	load	NOUN
fumecheng-2259	52	26	and	and	CCONJ
fumecheng-2259	52	27	critical	critical	ADJ
fumecheng-2259	52	28	temperature	temperature	NOUN
fumecheng-2259	52	29	of	of	ADP
fumecheng-2259	52	30	ebdmbs	ebdmb	NOUN
fumecheng-2259	52	31	with	with	ADP
fumecheng-2259	52	32	thermal	thermal	ADJ
fumecheng-2259	52	33	effect	effect	NOUN
fumecheng-2259	52	34	.	.	PUNCT
fumecheng-2259	53	1	also	also	ADV
fumecheng-2259	53	2	,	,	PUNCT
fumecheng-2259	53	3	results	result	NOUN
fumecheng-2259	53	4	for	for	ADP
fumecheng-2259	53	5	various	various	ADJ
fumecheng-2259	53	6	buckling	buckle	VERB
fumecheng-2259	53	7	state	state	NOUN
fumecheng-2259	53	8	and	and	CCONJ
fumecheng-2259	53	9	vibration	vibration	NOUN
fumecheng-2259	53	10	-	-	PUNCT
fumecheng-2259	53	11	phase	phase	NOUN
fumecheng-2259	53	12	of	of	ADP
fumecheng-2259	53	13	the	the	DET
fumecheng-2259	53	14	ebdmbs	ebdmb	NOUN
fumecheng-2259	53	15	are	be	AUX
fumecheng-2259	53	16	obtained	obtain	VERB
fumecheng-2259	53	17	.	.	PUNCT
fumecheng-2259	54	1	the	the	DET
fumecheng-2259	54	2	vibration	vibration	NOUN
fumecheng-2259	54	3	phases	phase	NOUN
fumecheng-2259	54	4	include	include	VERB
fumecheng-2259	54	5	out	out	ADV
fumecheng-2259	54	6	-	-	PUNCT
fumecheng-2259	54	7	of	of	ADP
fumecheng-2259	54	8	-	-	PUNCT
fumecheng-2259	54	9	phase	phase	NOUN
fumecheng-2259	54	10	and	and	CCONJ
fumecheng-2259	54	11	in	in	ADP
fumecheng-2259	54	12	-	-	PUNCT
fumecheng-2259	54	13	phase	phase	NOUN
fumecheng-2259	54	14	modes	mode	NOUN
fumecheng-2259	54	15	of	of	ADP
fumecheng-2259	54	16	vibration	vibration	NOUN
fumecheng-2259	54	17	.	.	PUNCT
fumecheng-2259	55	1	in	in	ADP
fumecheng-2259	55	2	order	order	NOUN
fumecheng-2259	55	3	to	to	PART
fumecheng-2259	55	4	verify	verify	VERB
fumecheng-2259	55	5	the	the	DET
fumecheng-2259	55	6	present	present	ADJ
fumecheng-2259	55	7	study	study	NOUN
fumecheng-2259	55	8	,	,	PUNCT
fumecheng-2259	55	9	a	a	DET
fumecheng-2259	55	10	comparison	comparison	NOUN
fumecheng-2259	55	11	of	of	ADP
fumecheng-2259	55	12	the	the	DET
fumecheng-2259	55	13	thermal	thermal	ADJ
fumecheng-2259	55	14	effect	effect	NOUN
fumecheng-2259	55	15	on	on	ADP
fumecheng-2259	55	16	the	the	DET
fumecheng-2259	55	17	dimensionless	dimensionless	ADJ
fumecheng-2259	55	18	natural	natural	ADJ
fumecheng-2259	55	19	frequency	frequency	NOUN
fumecheng-2259	55	20	of	of	ADP
fumecheng-2259	55	21	the	the	DET
fumecheng-2259	55	22	system	system	NOUN
fumecheng-2259	55	23	for	for	ADP
fumecheng-2259	55	24	the	the	DET
fumecheng-2259	55	25	first	first	ADJ
fumecheng-2259	55	26	three	three	NUM
fumecheng-2259	55	27	modes	mode	NOUN
fumecheng-2259	55	28	with	with	ADP
fumecheng-2259	55	29	the	the	DET
fumecheng-2259	55	30	results	result	NOUN
fumecheng-2259	55	31	found	find	VERB
fumecheng-2259	55	32	in	in	ADP
fumecheng-2259	55	33	the	the	DET
fumecheng-2259	55	34	literature	literature	NOUN
fumecheng-2259	55	35	is	be	AUX
fumecheng-2259	55	36	given	give	VERB
fumecheng-2259	55	37	in	in	ADP
fumecheng-2259	55	38	the	the	DET
fumecheng-2259	55	39	tabular	tabular	NOUN
fumecheng-2259	55	40	form	form	NOUN
fumecheng-2259	55	41	.	.	PUNCT
fumecheng-2259	56	1	because	because	SCONJ
fumecheng-2259	56	2	of	of	ADP
fumecheng-2259	56	3	the	the	DET
fumecheng-2259	56	4	strong	strong	ADJ
fumecheng-2259	56	5	coupling	coupling	NOUN
fumecheng-2259	56	6	between	between	ADP
fumecheng-2259	56	7	mechanical	mechanical	ADJ
fumecheng-2259	56	8	and	and	CCONJ
fumecheng-2259	56	9	electrical	electrical	ADJ
fumecheng-2259	56	10	phenomenon	phenomenon	NOUN
fumecheng-2259	56	11	in	in	ADP
fumecheng-2259	56	12	electromechanical	electromechanical	ADJ
fumecheng-2259	56	13	microdevices	microdevice	NOUN
fumecheng-2259	56	14	,	,	PUNCT
fumecheng-2259	56	15	there	there	PRON
fumecheng-2259	56	16	is	be	VERB
fumecheng-2259	56	17	a	a	DET
fumecheng-2259	56	18	growing	grow	VERB
fumecheng-2259	56	19	need	need	NOUN
fumecheng-2259	56	20	for	for	ADP
fumecheng-2259	56	21	results	result	NOUN
fumecheng-2259	56	22	with	with	ADP
fumecheng-2259	56	23	temperature	temperature	NOUN
fumecheng-2259	56	24	effect	effect	NOUN
fumecheng-2259	56	25	since	since	SCONJ
fumecheng-2259	56	26	they	they	PRON
fumecheng-2259	56	27	can	can	AUX
fumecheng-2259	56	28	give	give	VERB
fumecheng-2259	56	29	contribution	contribution	NOUN
fumecheng-2259	56	30	to	to	ADP
fumecheng-2259	56	31	the	the	DET
fumecheng-2259	56	32	making	making	NOUN
fumecheng-2259	56	33	of	of	ADP
fumecheng-2259	56	34	modern	modern	ADJ
fumecheng-2259	56	35	microsensors	microsensor	NOUN
fumecheng-2259	56	36	.	.	PUNCT
fumecheng-2259	57	1	the	the	DET
fumecheng-2259	57	2	ability	ability	NOUN
fumecheng-2259	57	3	of	of	ADP
fumecheng-2259	57	4	the	the	DET
fumecheng-2259	57	5	mems	mem	NOUN
fumecheng-2259	57	6	device	device	NOUN
fumecheng-2259	57	7	is	be	AUX
fumecheng-2259	57	8	precision	precision	NOUN
fumecheng-2259	57	9	and	and	CCONJ
fumecheng-2259	57	10	sensitivity	sensitivity	NOUN
fumecheng-2259	57	11	without	without	ADP
fumecheng-2259	57	12	the	the	DET
fumecheng-2259	57	13	need	need	NOUN
fumecheng-2259	57	14	for	for	ADP
fumecheng-2259	57	15	any	any	DET
fumecheng-2259	57	16	cumbersome	cumbersome	ADJ
fumecheng-2259	57	17	electrical	electrical	ADJ
fumecheng-2259	57	18	components	component	NOUN
fumecheng-2259	57	19	.	.	PUNCT
fumecheng-2259	58	1	2	2	X
fumecheng-2259	58	2	.	.	X
fumecheng-2259	58	3	formulation	formulation	NOUN
fumecheng-2259	58	4	on	on	ADP
fumecheng-2259	58	5	the	the	DET
fumecheng-2259	58	6	basis	basis	NOUN
fumecheng-2259	58	7	of	of	ADP
fumecheng-2259	58	8	the	the	DET
fumecheng-2259	58	9	mcst	mcst	NOUN
fumecheng-2259	58	10	,	,	PUNCT
fumecheng-2259	58	11	we	we	PRON
fumecheng-2259	58	12	discuss	discuss	VERB
fumecheng-2259	58	13	the	the	DET
fumecheng-2259	58	14	oscillatory	oscillatory	ADJ
fumecheng-2259	58	15	system	system	NOUN
fumecheng-2259	58	16	of	of	ADP
fumecheng-2259	58	17	two	two	NUM
fumecheng-2259	58	18	parallel	parallel	ADJ
fumecheng-2259	58	19	euler	euler	NOUN
fumecheng-2259	58	20	–	–	PUNCT
fumecheng-2259	58	21	bernoulli	bernoulli	NOUN
fumecheng-2259	58	22	microbeams	microbeam	NOUN
fumecheng-2259	58	23	which	which	PRON
fumecheng-2259	58	24	are	be	AUX
fumecheng-2259	58	25	continuously	continuously	ADV
fumecheng-2259	58	26	joined	join	VERB
fumecheng-2259	58	27	by	by	ADP
fumecheng-2259	58	28	the	the	DET
fumecheng-2259	58	29	pasternak	pasternak	NOUN
fumecheng-2259	58	30	elastic	elastic	ADJ
fumecheng-2259	58	31	layer	layer	NOUN
fumecheng-2259	58	32	under	under	ADP
fumecheng-2259	58	33	the	the	DET
fumecheng-2259	58	34	influence	influence	NOUN
fumecheng-2259	58	35	of	of	ADP
fumecheng-2259	58	36	axial	axial	ADJ
fumecheng-2259	58	37	loading	loading	NOUN
fumecheng-2259	58	38	including	include	VERB
fumecheng-2259	58	39	the	the	DET
fumecheng-2259	58	40	temperature	temperature	NOUN
fumecheng-2259	58	41	change	change	NOUN
fumecheng-2259	58	42	effect	effect	NOUN
fumecheng-2259	58	43	(	(	PUNCT
fumecheng-2259	58	44	see	see	VERB
fumecheng-2259	58	45	fig	fig	NOUN
fumecheng-2259	58	46	.	.	PUNCT
fumecheng-2259	59	1	1).the	1).the	DET
fumecheng-2259	59	2	pasternak	pasternak	PROPN
fumecheng-2259	59	3	foundation	foundation	PROPN
fumecheng-2259	59	4	assumes	assume	VERB
fumecheng-2259	59	5	the	the	DET
fumecheng-2259	59	6	presence	presence	NOUN
fumecheng-2259	59	7	of	of	ADP
fumecheng-2259	59	8	shear	shear	NOUN
fumecheng-2259	59	9	interaction	interaction	NOUN
fumecheng-2259	59	10	among	among	ADP
fumecheng-2259	59	11	the	the	DET
fumecheng-2259	59	12	spring	spring	NOUN
fumecheng-2259	59	13	elements	element	NOUN
fumecheng-2259	59	14	which	which	PRON
fumecheng-2259	59	15	is	be	AUX
fumecheng-2259	59	16	achieved	achieve	VERB
fumecheng-2259	59	17	by	by	ADP
fumecheng-2259	59	18	connecting	connect	VERB
fumecheng-2259	59	19	the	the	DET
fumecheng-2259	59	20	ends	end	NOUN
fumecheng-2259	59	21	of	of	ADP
fumecheng-2259	59	22	the	the	DET
fumecheng-2259	59	23	springs	spring	NOUN
fumecheng-2259	59	24	to	to	ADP
fumecheng-2259	59	25	a	a	DET
fumecheng-2259	59	26	beam	beam	NOUN
fumecheng-2259	59	27	that	that	PRON
fumecheng-2259	59	28	only	only	ADV
fumecheng-2259	59	29	undergoes	undergo	VERB
fumecheng-2259	59	30	transverse	transverse	ADJ
fumecheng-2259	59	31	shear	shear	NOUN
fumecheng-2259	59	32	deformation	deformation	NOUN
fumecheng-2259	59	33	,	,	PUNCT
fumecheng-2259	59	34	see	see	VERB
fumecheng-2259	59	35	[	[	X
fumecheng-2259	59	36	25	25	NUM
fumecheng-2259	59	37	]	]	PUNCT
fumecheng-2259	59	38	.	.	PUNCT
fumecheng-2259	60	1	the	the	DET
fumecheng-2259	60	2	load	load	NOUN
fumecheng-2259	60	3	–	–	PUNCT
fumecheng-2259	60	4	deflection	deflection	NOUN
fumecheng-2259	60	5	relationship	relationship	NOUN
fumecheng-2259	60	6	is	be	AUX
fumecheng-2259	60	7	obtained	obtain	VERB
fumecheng-2259	60	8	by	by	ADP
fumecheng-2259	60	9	taking	take	VERB
fumecheng-2259	60	10	into	into	ADP
fumecheng-2259	60	11	account	account	NOUN
fumecheng-2259	60	12	the	the	DET
fumecheng-2259	60	13	vertical	vertical	ADJ
fumecheng-2259	60	14	equilibrium	equilibrium	NOUN
fumecheng-2259	60	15	of	of	ADP
fumecheng-2259	60	16	a	a	DET
fumecheng-2259	60	17	shear	shear	NOUN
fumecheng-2259	60	18	layer	layer	NOUN
fumecheng-2259	60	19	.	.	PUNCT
fumecheng-2259	61	1	the	the	DET
fumecheng-2259	61	2	pressure	pressure	NOUN
fumecheng-2259	61	3	–	–	PUNCT
fumecheng-2259	61	4	deflection	deflection	NOUN
fumecheng-2259	61	5	relationship	relationship	NOUN
fumecheng-2259	61	6	is	be	AUX
fumecheng-2259	61	7	given	give	VERB
fumecheng-2259	61	8	by	by	ADP
fumecheng-2259	61	9	,	,	PUNCT
fumecheng-2259	61	10	2,1	2,1	NUM
fumecheng-2259	61	11	,	,	PUNCT
fumecheng-2259	61	12	2	2	NUM
fumecheng-2259	61	13	0	0	NUM
fumecheng-2259	61	14	2	2	NUM
fumecheng-2259	61	15	0	0	NUM
fumecheng-2259	61	16			NUM
fumecheng-2259	61	17			ADJ
fumecheng-2259	61	18			ADJ
fumecheng-2259	61	19			ADJ
fumecheng-2259	62	1	i	i	NOUN
fumecheng-2259	62	2	x	x	PROPN
fumecheng-2259	63	1	w	w	NOUN
fumecheng-2259	63	2	gkwp	gkwp	NOUN
fumecheng-2259	64	1	i	i	PRON
fumecheng-2259	64	2	i	i	PRON
fumecheng-2259	64	3	(	(	PUNCT
fumecheng-2259	64	4	1	1	NUM
fumecheng-2259	64	5	)	)	PUNCT
fumecheng-2259	64	6	where	where	SCONJ
fumecheng-2259	64	7	g	g	PROPN
fumecheng-2259	64	8	is	be	AUX
fumecheng-2259	64	9	the	the	DET
fumecheng-2259	64	10	modulus	modulus	NOUN
fumecheng-2259	64	11	of	of	ADP
fumecheng-2259	64	12	a	a	DET
fumecheng-2259	64	13	shear	shear	NOUN
fumecheng-2259	64	14	pasternak	pasternak	NOUN
fumecheng-2259	64	15	's	's	PART
fumecheng-2259	64	16	layer	layer	NOUN
fumecheng-2259	64	17	and	and	CCONJ
fumecheng-2259	64	18	k	k	PROPN
fumecheng-2259	64	19	is	be	AUX
fumecheng-2259	64	20	the	the	DET
fumecheng-2259	64	21	stiffness	stiffness	ADJ
fumecheng-2259	64	22	modulus	modulus	NOUN
fumecheng-2259	64	23	of	of	ADP
fumecheng-2259	64	24	a	a	DET
fumecheng-2259	64	25	winkler	winkler	NOUN
fumecheng-2259	64	26	elastic	elastic	ADJ
fumecheng-2259	64	27	layer	layer	NOUN
fumecheng-2259	64	28	.	.	PUNCT
fumecheng-2259	65	1	beams	beam	NOUN
fumecheng-2259	65	2	are	be	AUX
fumecheng-2259	65	3	continuously	continuously	ADV
fumecheng-2259	65	4	connected	connect	VERB
fumecheng-2259	65	5	with	with	ADP
fumecheng-2259	65	6	the	the	DET
fumecheng-2259	65	7	winkler	winkler	NOUN
fumecheng-2259	65	8	elastic	elastic	ADJ
fumecheng-2259	65	9	layer	layer	NOUN
fumecheng-2259	65	10	which	which	PRON
fumecheng-2259	65	11	represents	represent	VERB
fumecheng-2259	65	12	an	an	DET
fumecheng-2259	65	13	idealized	idealized	ADJ
fumecheng-2259	65	14	medium	medium	NOUN
fumecheng-2259	65	15	formed	form	VERB
fumecheng-2259	65	16	of	of	ADP
fumecheng-2259	65	17	system	system	NOUN
fumecheng-2259	65	18	springs	spring	NOUN
fumecheng-2259	65	19	.	.	PUNCT
fumecheng-2259	66	1	both	both	DET
fumecheng-2259	66	2	the	the	DET
fumecheng-2259	66	3	microbeams	microbeam	NOUN
fumecheng-2259	66	4	are	be	AUX
fumecheng-2259	66	5	rectangular	rectangular	ADJ
fumecheng-2259	66	6	and	and	CCONJ
fumecheng-2259	66	7	have	have	VERB
fumecheng-2259	66	8	the	the	DET
fumecheng-2259	66	9	same	same	ADJ
fumecheng-2259	66	10	length	length	NOUN
fumecheng-2259	66	11	l	l	NOUN
fumecheng-2259	66	12	,	,	PUNCT
fumecheng-2259	66	13	thickness	thickness	NOUN
fumecheng-2259	66	14	h	h	NOUN
fumecheng-2259	66	15	,	,	PUNCT
fumecheng-2259	66	16	width	width	PROPN
fumecheng-2259	66	17	b.	b.	PROPN
fumecheng-2259	66	18	fig	fig	PROPN
fumecheng-2259	66	19	.	.	PUNCT
fumecheng-2259	67	1	1	1	NUM
fumecheng-2259	67	2	double	double	ADJ
fumecheng-2259	67	3	-	-	PUNCT
fumecheng-2259	67	4	microbeam	microbeam	NOUN
fumecheng-2259	67	5	system	system	NOUN
fumecheng-2259	67	6	coupled	couple	VERB
fumecheng-2259	67	7	by	by	ADP
fumecheng-2259	67	8	the	the	DET
fumecheng-2259	67	9	pasternak	pasternak	NOUN
fumecheng-2259	67	10	's	's	PART
fumecheng-2259	67	11	layer	layer	NOUN
fumecheng-2259	67	12	48	48	NUM
fumecheng-2259	67	13	m.	m.	NOUN
fumecheng-2259	67	14	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	67	15	atanasov	atanasov	PROPN
fumecheng-2259	67	16	,	,	PUNCT
fumecheng-2259	67	17	d.	d.	PROPN
fumecheng-2259	67	18	karliţiš	karliţiš	PROPN
fumecheng-2259	67	19	,	,	PUNCT
fumecheng-2259	67	20	p.	p.	PROPN
fumecheng-2259	67	21	koziš	koziš	PROPN
fumecheng-2259	67	22	,	,	PUNCT
fumecheng-2259	67	23	g.	g.	PROPN
fumecheng-2259	67	24	janevski	janevski	PROPN
fumecheng-2259	67	25	the	the	DET
fumecheng-2259	67	26	beams	beam	NOUN
fumecheng-2259	67	27	are	be	AUX
fumecheng-2259	67	28	simply	simply	ADV
fumecheng-2259	67	29	supported	support	VERB
fumecheng-2259	67	30	at	at	ADP
fumecheng-2259	67	31	the	the	DET
fumecheng-2259	67	32	ends	end	NOUN
fumecheng-2259	67	33	and	and	CCONJ
fumecheng-2259	67	34	under	under	ADP
fumecheng-2259	67	35	the	the	DET
fumecheng-2259	67	36	effect	effect	NOUN
fumecheng-2259	67	37	of	of	ADP
fumecheng-2259	67	38	the	the	DET
fumecheng-2259	67	39	axial	axial	ADJ
fumecheng-2259	67	40	compressive	compressive	ADJ
fumecheng-2259	67	41	load	load	NOUN
fumecheng-2259	67	42	with	with	ADP
fumecheng-2259	67	43	the	the	DET
fumecheng-2259	67	44	temperature	temperature	NOUN
fumecheng-2259	67	45	change	change	NOUN
fumecheng-2259	67	46	effect	effect	NOUN
fumecheng-2259	67	47	.	.	PUNCT
fumecheng-2259	68	1	2.1	2.1	NUM
fumecheng-2259	68	2	.	.	PUNCT
fumecheng-2259	68	3	introduction	introduction	NOUN
fumecheng-2259	68	4	of	of	ADP
fumecheng-2259	68	5	the	the	DET
fumecheng-2259	68	6	modified	modify	VERB
fumecheng-2259	68	7	coupled	couple	VERB
fumecheng-2259	68	8	stress	stress	NOUN
fumecheng-2259	68	9	theory	theory	NOUN
fumecheng-2259	68	10	the	the	DET
fumecheng-2259	68	11	mcst	mcst	PROPN
fumecheng-2259	68	12	was	be	AUX
fumecheng-2259	68	13	developed	develop	VERB
fumecheng-2259	68	14	from	from	ADP
fumecheng-2259	68	15	the	the	DET
fumecheng-2259	68	16	classical	classical	ADJ
fumecheng-2259	68	17	couple	couple	NOUN
fumecheng-2259	68	18	stress	stress	NOUN
fumecheng-2259	68	19	theory	theory	NOUN
fumecheng-2259	68	20	,	,	PUNCT
fumecheng-2259	68	21	which	which	PRON
fumecheng-2259	68	22	was	be	AUX
fumecheng-2259	68	23	well	well	ADV
fumecheng-2259	68	24	grounded	ground	VERB
fumecheng-2259	68	25	by	by	ADP
fumecheng-2259	68	26	mindlin	mindlin	PROPN
fumecheng-2259	69	1	[	[	X
fumecheng-2259	69	2	26	26	NUM
fumecheng-2259	69	3	]	]	PUNCT
fumecheng-2259	69	4	,	,	PUNCT
fumecheng-2259	69	5	mindlin	mindlin	PROPN
fumecheng-2259	69	6	and	and	CCONJ
fumecheng-2259	69	7	tiersten	tiersten	VERB
fumecheng-2259	69	8	[	[	X
fumecheng-2259	69	9	27	27	NUM
fumecheng-2259	69	10	]	]	PUNCT
fumecheng-2259	69	11	,	,	PUNCT
fumecheng-2259	69	12	toupin	toupin	NOUN
fumecheng-2259	69	13	[	[	X
fumecheng-2259	69	14	28	28	NUM
fumecheng-2259	69	15	]	]	PUNCT
fumecheng-2259	69	16	and	and	CCONJ
fumecheng-2259	69	17	koiter	koiter	NOUN
fumecheng-2259	70	1	[	[	X
fumecheng-2259	70	2	29	29	NUM
fumecheng-2259	70	3	]	]	PUNCT
fumecheng-2259	70	4	.	.	PUNCT
fumecheng-2259	71	1	this	this	DET
fumecheng-2259	71	2	theory	theory	NOUN
fumecheng-2259	71	3	,	,	PUNCT
fumecheng-2259	71	4	suggested	suggest	VERB
fumecheng-2259	71	5	by	by	ADP
fumecheng-2259	71	6	yang	yang	PROPN
fumecheng-2259	71	7	et	et	PROPN
fumecheng-2259	71	8	al.(2002	al.(2002	NOUN
fumecheng-2259	71	9	)	)	PUNCT
fumecheng-2259	71	10	,	,	PUNCT
fumecheng-2259	71	11	holds	hold	VERB
fumecheng-2259	71	12	that	that	SCONJ
fumecheng-2259	71	13	energy	energy	NOUN
fumecheng-2259	71	14	density	density	NOUN
fumecheng-2259	71	15	is	be	AUX
fumecheng-2259	71	16	a	a	DET
fumecheng-2259	71	17	function	function	NOUN
fumecheng-2259	71	18	of	of	ADP
fumecheng-2259	71	19	strain	strain	NOUN
fumecheng-2259	71	20	as	as	ADV
fumecheng-2259	71	21	well	well	ADV
fumecheng-2259	71	22	as	as	ADP
fumecheng-2259	71	23	curvature	curvature	NOUN
fumecheng-2259	71	24	.	.	PUNCT
fumecheng-2259	72	1	according	accord	VERB
fumecheng-2259	72	2	to	to	ADP
fumecheng-2259	72	3	the	the	DET
fumecheng-2259	72	4	modified	modify	VERB
fumecheng-2259	72	5	couple	couple	NOUN
fumecheng-2259	72	6	stress	stress	NOUN
fumecheng-2259	72	7	theory	theory	NOUN
fumecheng-2259	72	8	,	,	PUNCT
fumecheng-2259	72	9	yang	yang	PROPN
fumecheng-2259	73	1	[	[	X
fumecheng-2259	73	2	30	30	NUM
fumecheng-2259	73	3	]	]	PUNCT
fumecheng-2259	73	4	,	,	PUNCT
fumecheng-2259	73	5	park	park	NOUN
fumecheng-2259	73	6	and	and	CCONJ
fumecheng-2259	73	7	gao	gao	PROPN
fumecheng-2259	74	1	[	[	X
fumecheng-2259	74	2	18	18	NUM
fumecheng-2259	74	3	]	]	PUNCT
fumecheng-2259	74	4	,	,	PUNCT
fumecheng-2259	74	5	ma	ma	PROPN
fumecheng-2259	74	6	et	et	PROPN
fumecheng-2259	74	7	al	al	PROPN
fumecheng-2259	74	8	.	.	PUNCT
fumecheng-2259	75	1	[	[	X
fumecheng-2259	75	2	19	19	NUM
fumecheng-2259	75	3	]	]	PUNCT
fumecheng-2259	75	4	and	and	CCONJ
fumecheng-2259	75	5	reddy	reddy	PROPN
fumecheng-2259	76	1	[	[	X
fumecheng-2259	76	2	17	17	NUM
fumecheng-2259	76	3	]	]	PUNCT
fumecheng-2259	76	4	,	,	PUNCT
fumecheng-2259	76	5	strain	strain	VERB
fumecheng-2259	76	6	energy	energy	NOUN
fumecheng-2259	76	7	us	we	PRON
fumecheng-2259	76	8	in	in	ADP
fumecheng-2259	76	9	an	an	DET
fumecheng-2259	76	10	isotropic	isotropic	ADJ
fumecheng-2259	76	11	linear	linear	ADJ
fumecheng-2259	76	12	elastic	elastic	ADJ
fumecheng-2259	76	13	material	material	NOUN
fumecheng-2259	76	14	occupying	occupy	VERB
fumecheng-2259	76	15	area	area	NOUN
fumecheng-2259	76	16	ω	ω	PROPN
fumecheng-2259	76	17	with	with	ADP
fumecheng-2259	76	18	a	a	DET
fumecheng-2259	76	19	volume	volume	NOUN
fumecheng-2259	76	20	element	element	NOUN
fumecheng-2259	76	21	v	v	NOUN
fumecheng-2259	76	22	,	,	PUNCT
fumecheng-2259	76	23	and	and	CCONJ
fumecheng-2259	76	24	,	,	PUNCT
fumecheng-2259	76	25	can	can	AUX
fumecheng-2259	76	26	be	be	AUX
fumecheng-2259	76	27	written	write	VERB
fumecheng-2259	76	28	as	as	ADP
fumecheng-2259	76	29	1	1	NUM
fumecheng-2259	76	30	(	(	PUNCT
fumecheng-2259	76	31	:	:	PUNCT
fumecheng-2259	76	32	:	:	PUNCT
fumecheng-2259	76	33	)	)	PUNCT
fumecheng-2259	76	34	,	,	PUNCT
fumecheng-2259	76	35	2	2	NUM
fumecheng-2259	76	36	su	su	PROPN
fumecheng-2259	76	37	dv	dv	PROPN
fumecheng-2259	76	38			PROPN
fumecheng-2259	77	1			PROPN
fumecheng-2259	77	2			NUM
fumecheng-2259	77	3			PROPN
fumecheng-2259	77	4			PROPN
fumecheng-2259	77	5	m	m	PROPN
fumecheng-2259	77	6	(	(	PUNCT
fumecheng-2259	77	7	2	2	NUM
fumecheng-2259	77	8	)	)	PUNCT
fumecheng-2259	77	9	where	where	SCONJ
fumecheng-2259	77	10	σ	σ	PROPN
fumecheng-2259	77	11	and	and	CCONJ
fumecheng-2259	77	12	ε	ε	PROPN
fumecheng-2259	77	13	are	be	AUX
fumecheng-2259	77	14	the	the	DET
fumecheng-2259	77	15	cauchy	cauchy	ADJ
fumecheng-2259	77	16	stress	stress	NOUN
fumecheng-2259	77	17	tensor	tensor	NOUN
fumecheng-2259	77	18	and	and	CCONJ
fumecheng-2259	77	19	strain	strain	NOUN
fumecheng-2259	77	20	tensor	tensor	NOUN
fumecheng-2259	77	21	,	,	PUNCT
fumecheng-2259	77	22	respectively	respectively	ADV
fumecheng-2259	77	23	,	,	PUNCT
fumecheng-2259	77	24	m	m	VERB
fumecheng-2259	77	25	is	be	AUX
fumecheng-2259	77	26	the	the	DET
fumecheng-2259	77	27	deviatory	deviatory	NOUN
fumecheng-2259	77	28	part	part	NOUN
fumecheng-2259	77	29	of	of	ADP
fumecheng-2259	77	30	the	the	DET
fumecheng-2259	77	31	couple	couple	NOUN
fumecheng-2259	77	32	stress	stress	NOUN
fumecheng-2259	77	33	tensor	tensor	NOUN
fumecheng-2259	77	34	,	,	PUNCT
fumecheng-2259	77	35	and	and	CCONJ
fumecheng-2259	77	36	χ	χ	X
fumecheng-2259	77	37	is	be	AUX
fumecheng-2259	77	38	the	the	DET
fumecheng-2259	77	39	symmetric	symmetric	ADJ
fumecheng-2259	77	40	part	part	NOUN
fumecheng-2259	77	41	of	of	ADP
fumecheng-2259	77	42	the	the	DET
fumecheng-2259	77	43	curvature	curvature	NOUN
fumecheng-2259	77	44	tensor	tensor	NOUN
fumecheng-2259	77	45	.	.	PUNCT
fumecheng-2259	78	1	these	these	DET
fumecheng-2259	78	2	tensors	tensor	NOUN
fumecheng-2259	78	3	correspond	correspond	VERB
fumecheng-2259	78	4	to	to	ADP
fumecheng-2259	78	5	the	the	DET
fumecheng-2259	78	6	geometrical	geometrical	ADJ
fumecheng-2259	78	7	equations	equation	NOUN
fumecheng-2259	78	8	:	:	PUNCT
fumecheng-2259	78	9	1	1	NUM
fumecheng-2259	78	10	1	1	NUM
fumecheng-2259	78	11	[	[	PUNCT
fumecheng-2259	78	12	(	(	PUNCT
fumecheng-2259	78	13	)	)	PUNCT
fumecheng-2259	78	14	]	]	PUNCT
fumecheng-2259	78	15	,	,	PUNCT
fumecheng-2259	78	16	[	[	PUNCT
fumecheng-2259	78	17	(	(	PUNCT
fumecheng-2259	78	18	)	)	PUNCT
fumecheng-2259	78	19	]	]	PUNCT
fumecheng-2259	78	20	,	,	PUNCT
fumecheng-2259	78	21	,	,	PUNCT
fumecheng-2259	78	22	2	2	NUM
fumecheng-2259	78	23	2	2	NUM
fumecheng-2259	78	24	t	t	NOUN
fumecheng-2259	78	25	t	t	NOUN
fumecheng-2259	78	26	x	x	X
fumecheng-2259	78	27	y	y	PROPN
fumecheng-2259	78	28	z	z	PROPN
fumecheng-2259	78	29			PROPN
fumecheng-2259	78	30			VERB
fumecheng-2259	78	31			PROPN
fumecheng-2259	78	32			ADJ
fumecheng-2259	78	33			ADJ
fumecheng-2259	78	34			PROPN
fumecheng-2259	78	35			PROPN
fumecheng-2259	78	36			PROPN
fumecheng-2259	78	37			PUNCT
fumecheng-2259	78	38			PROPN
fumecheng-2259	78	39			PROPN
fumecheng-2259	78	40			NOUN
fumecheng-2259	78	41			PUNCT
fumecheng-2259	78	42			NOUN
fumecheng-2259	78	43			NOUN
fumecheng-2259	78	44			NUM
fumecheng-2259	78	45			NOUN
fumecheng-2259	78	46			NOUN
fumecheng-2259	78	47			PROPN
fumecheng-2259	78	48			PROPN
fumecheng-2259	78	49			PROPN
fumecheng-2259	78	50			PROPN
fumecheng-2259	78	51			PROPN
fumecheng-2259	78	52	u	u	PUNCT
fumecheng-2259	78	53	u	u	PROPN
fumecheng-2259	78	54	(	(	PUNCT
fumecheng-2259	78	55	3	3	NUM
fumecheng-2259	78	56	)	)	PUNCT
fumecheng-2259	78	57	where	where	SCONJ
fumecheng-2259	78	58			NOUN
fumecheng-2259	78	59	is	be	AUX
fumecheng-2259	78	60	the	the	DET
fumecheng-2259	78	61	nabla	nabla	NOUN
fumecheng-2259	78	62	operator	operator	NOUN
fumecheng-2259	78	63	,	,	PUNCT
fumecheng-2259	78	64	u	u	PROPN
fumecheng-2259	78	65	is	be	AUX
fumecheng-2259	78	66	the	the	DET
fumecheng-2259	78	67	displacement	displacement	ADJ
fumecheng-2259	78	68	vector	vector	NOUN
fumecheng-2259	78	69	.	.	PUNCT
fumecheng-2259	79	1	the	the	DET
fumecheng-2259	79	2	rotation	rotation	NOUN
fumecheng-2259	79	3	vector	vector	NOUN
fumecheng-2259	79	4	and	and	CCONJ
fumecheng-2259	79	5	constitutive	constitutive	ADJ
fumecheng-2259	79	6	equations	equation	NOUN
fumecheng-2259	79	7	are	be	AUX
fumecheng-2259	79	8	defined	define	VERB
fumecheng-2259	79	9	by	by	ADP
fumecheng-2259	79	10	,	,	PUNCT
fumecheng-2259	79	11	1	1	NUM
fumecheng-2259	79	12	curl	curl	NOUN
fumecheng-2259	79	13	2	2	NUM
fumecheng-2259	79	14			NOUN
fumecheng-2259	79	15	u	u	NOUN
fumecheng-2259	79	16	(	(	PUNCT
fumecheng-2259	79	17	4	4	NUM
fumecheng-2259	79	18	)	)	PUNCT
fumecheng-2259	79	19			NOUN
fumecheng-2259	79	20			PROPN
fumecheng-2259	79	21	.2	.2	NUM
fumecheng-2259	79	22	,	,	PUNCT
fumecheng-2259	79	23	2	2	NUM
fumecheng-2259	79	24			NOUN
fumecheng-2259	79	25			VERB
fumecheng-2259	79	26	l2tr	l2tr	PUNCT
fumecheng-2259	80	1			ADJ
fumecheng-2259	80	2	mi	mi	PROPN
fumecheng-2259	80	3			PROPN
fumecheng-2259	80	4	(	(	PUNCT
fumecheng-2259	80	5	5	5	NUM
fumecheng-2259	80	6	)	)	PUNCT
fumecheng-2259	80	7	where	where	SCONJ
fumecheng-2259	80	8	material	material	NOUN
fumecheng-2259	80	9	length	length	NOUN
fumecheng-2259	80	10	scale	scale	NOUN
fumecheng-2259	80	11	parameter	parameter	NOUN
fumecheng-2259	80	12	l	l	PROPN
fumecheng-2259	80	13	has	have	VERB
fumecheng-2259	80	14	the	the	DET
fumecheng-2259	80	15	dimension	dimension	NOUN
fumecheng-2259	80	16	of	of	ADP
fumecheng-2259	80	17	length	length	NOUN
fumecheng-2259	80	18	which	which	PRON
fumecheng-2259	80	19	is	be	AUX
fumecheng-2259	80	20	mathematically	mathematically	ADV
fumecheng-2259	80	21	the	the	DET
fumecheng-2259	80	22	square	square	NOUN
fumecheng-2259	80	23	of	of	ADP
fumecheng-2259	80	24	the	the	DET
fumecheng-2259	80	25	ratio	ratio	NOUN
fumecheng-2259	80	26	of	of	ADP
fumecheng-2259	80	27	the	the	DET
fumecheng-2259	80	28	curvature	curvature	NOUN
fumecheng-2259	80	29	modulus	modulus	NOUN
fumecheng-2259	80	30	to	to	ADP
fumecheng-2259	80	31	the	the	DET
fumecheng-2259	80	32	shear	shear	NOUN
fumecheng-2259	80	33	modulus	modulus	NOUN
fumecheng-2259	80	34	and	and	CCONJ
fumecheng-2259	80	35	is	be	AUX
fumecheng-2259	80	36	physically	physically	ADV
fumecheng-2259	80	37	regarded	regard	VERB
fumecheng-2259	80	38	as	as	ADP
fumecheng-2259	80	39	a	a	DET
fumecheng-2259	80	40	material	material	NOUN
fumecheng-2259	80	41	property	property	NOUN
fumecheng-2259	80	42	measuring	measure	VERB
fumecheng-2259	80	43	the	the	DET
fumecheng-2259	80	44	effect	effect	NOUN
fumecheng-2259	80	45	of	of	ADP
fumecheng-2259	80	46	couple	couple	NOUN
fumecheng-2259	80	47	stress	stress	NOUN
fumecheng-2259	80	48	,	,	PUNCT
fumecheng-2259	80	49	mindlin	mindlin	PROPN
fumecheng-2259	81	1	[	[	X
fumecheng-2259	81	2	26	26	NUM
fumecheng-2259	81	3	]	]	X
fumecheng-2259	81	4	,	,	PUNCT
fumecheng-2259	81	5	μ	μ	PROPN
fumecheng-2259	81	6	and	and	CCONJ
fumecheng-2259	81	7	λ	λ	PROPN
fumecheng-2259	81	8	are	be	AUX
fumecheng-2259	81	9	the	the	DET
fumecheng-2259	81	10	lamé	lamé	NOUN
fumecheng-2259	81	11	constants	constant	NOUN
fumecheng-2259	81	12	that	that	PRON
fumecheng-2259	81	13	are	be	AUX
fumecheng-2259	81	14	given	give	VERB
fumecheng-2259	81	15	as	as	ADP
fumecheng-2259	81	16	:	:	PUNCT
fumecheng-2259	81	17	and	and	CCONJ
fumecheng-2259	81	18	.	.	PUNCT
fumecheng-2259	82	1	(	(	PUNCT
fumecheng-2259	82	2	1	1	X
fumecheng-2259	82	3	)	)	PUNCT
fumecheng-2259	82	4	(	(	PUNCT
fumecheng-2259	82	5	1	1	NUM
fumecheng-2259	82	6	2	2	NUM
fumecheng-2259	82	7	)	)	PUNCT
fumecheng-2259	82	8	2(1	2(1	NUM
fumecheng-2259	82	9	)	)	PUNCT
fumecheng-2259	83	1	e	e	PROPN
fumecheng-2259	83	2			ADJ
fumecheng-2259	83	3			NOUN
fumecheng-2259	83	4			NOUN
fumecheng-2259	83	5			PROPN
fumecheng-2259	83	6			PROPN
fumecheng-2259	83	7			PROPN
fumecheng-2259	83	8			PROPN
fumecheng-2259	83	9			PROPN
fumecheng-2259	83	10			ADJ
fumecheng-2259	83	11			PROPN
fumecheng-2259	83	12			X
fumecheng-2259	83	13	(	(	PUNCT
fumecheng-2259	83	14	6	6	NUM
fumecheng-2259	83	15	)	)	PUNCT
fumecheng-2259	83	16	in	in	ADP
fumecheng-2259	83	17	order	order	NOUN
fumecheng-2259	83	18	to	to	PART
fumecheng-2259	83	19	implement	implement	VERB
fumecheng-2259	83	20	the	the	DET
fumecheng-2259	83	21	linear	linear	ADJ
fumecheng-2259	83	22	constitutive	constitutive	ADJ
fumecheng-2259	83	23	relations	relation	NOUN
fumecheng-2259	83	24	presented	present	VERB
fumecheng-2259	83	25	in	in	ADP
fumecheng-2259	83	26	eq	eq	ADP
fumecheng-2259	83	27	.	.	PUNCT
fumecheng-2259	84	1	(	(	PUNCT
fumecheng-2259	84	2	6	6	NUM
fumecheng-2259	84	3	)	)	PUNCT
fumecheng-2259	84	4	the	the	DET
fumecheng-2259	84	5	microbeam	microbeam	NOUN
fumecheng-2259	84	6	material	material	NOUN
fumecheng-2259	84	7	should	should	AUX
fumecheng-2259	84	8	be	be	AUX
fumecheng-2259	84	9	made	make	VERB
fumecheng-2259	84	10	homogeneous	homogeneous	ADJ
fumecheng-2259	84	11	,	,	PUNCT
fumecheng-2259	84	12	isotropic	isotropic	ADJ
fumecheng-2259	84	13	and	and	CCONJ
fumecheng-2259	84	14	linearly	linearly	ADV
fumecheng-2259	84	15	elastic	elastic	ADJ
fumecheng-2259	84	16	.	.	PUNCT
fumecheng-2259	85	1	2.2	2.2	NUM
fumecheng-2259	85	2	.	.	PUNCT
fumecheng-2259	85	3	mathematical	mathematical	ADJ
fumecheng-2259	85	4	model	model	NOUN
fumecheng-2259	85	5	of	of	ADP
fumecheng-2259	85	6	the	the	DET
fumecheng-2259	85	7	double	double	ADJ
fumecheng-2259	85	8	-	-	PUNCT
fumecheng-2259	85	9	microbeam	microbeam	NOUN
fumecheng-2259	85	10	system	system	NOUN
fumecheng-2259	85	11	based	base	VERB
fumecheng-2259	85	12	on	on	ADP
fumecheng-2259	85	13	the	the	DET
fumecheng-2259	85	14	euler	euler	PROPN
fumecheng-2259	85	15	-	-	PUNCT
fumecheng-2259	85	16	bernoulli	bernoulli	PROPN
fumecheng-2259	85	17	beam	beam	NOUN
fumecheng-2259	85	18	theory	theory	NOUN
fumecheng-2259	85	19	,	,	PUNCT
fumecheng-2259	85	20	axial	axial	ADJ
fumecheng-2259	85	21	displacements	displacement	NOUN
fumecheng-2259	85	22	u(x	u(x	VERB
fumecheng-2259	85	23	,	,	PUNCT
fumecheng-2259	85	24	z	z	PROPN
fumecheng-2259	85	25	,	,	PUNCT
fumecheng-2259	85	26	t	t	PROPN
fumecheng-2259	85	27	)	)	PUNCT
fumecheng-2259	85	28	and	and	CCONJ
fumecheng-2259	85	29	transverse	transverse	ADJ
fumecheng-2259	85	30	displacements	displacement	NOUN
fumecheng-2259	85	31	of	of	ADP
fumecheng-2259	85	32	any	any	DET
fumecheng-2259	85	33	point	point	NOUN
fumecheng-2259	85	34	of	of	ADP
fumecheng-2259	85	35	the	the	DET
fumecheng-2259	85	36	beam	beam	NOUN
fumecheng-2259	85	37	,	,	PUNCT
fumecheng-2259	85	38	w(x	w(x	PROPN
fumecheng-2259	85	39	,	,	PUNCT
fumecheng-2259	85	40	z	z	PROPN
fumecheng-2259	85	41	,	,	PUNCT
fumecheng-2259	85	42	t	t	PROPN
fumecheng-2259	85	43	)	)	PUNCT
fumecheng-2259	85	44	are	be	AUX
fumecheng-2259	85	45	given	give	VERB
fumecheng-2259	85	46	by	by	ADP
fumecheng-2259	85	47	reddy	reddy	PROPN
fumecheng-2259	85	48	[	[	X
fumecheng-2259	85	49	14	14	NUM
fumecheng-2259	85	50	]	]	PUNCT
fumecheng-2259	85	51	as	as	ADP
fumecheng-2259	85	52	0	0	NUM
fumecheng-2259	85	53	0	0	NUM
fumecheng-2259	85	54	(	(	PUNCT
fumecheng-2259	85	55	,	,	PUNCT
fumecheng-2259	85	56	)	)	PUNCT
fumecheng-2259	85	57	(	(	PUNCT
fumecheng-2259	85	58	)	)	PUNCT
fumecheng-2259	85	59	,	,	PUNCT
fumecheng-2259	85	60	(	(	PUNCT
fumecheng-2259	85	61	)	)	PUNCT
fumecheng-2259	85	62	0	0	NUM
fumecheng-2259	85	63	,	,	PUNCT
fumecheng-2259	85	64	(	(	PUNCT
fumecheng-2259	85	65	)	)	PUNCT
fumecheng-2259	85	66	(	(	PUNCT
fumecheng-2259	85	67	,	,	PUNCT
fumecheng-2259	85	68	)	)	PUNCT
fumecheng-2259	85	69	,	,	PUNCT
fumecheng-2259	85	70	w	w	NOUN
fumecheng-2259	85	71	x	x	SYM
fumecheng-2259	85	72	t	t	PROPN
fumecheng-2259	85	73	u	u	NOUN
fumecheng-2259	85	74	x	x	PROPN
fumecheng-2259	85	75	,	,	PUNCT
fumecheng-2259	85	76	z	z	PROPN
fumecheng-2259	85	77	,	,	PUNCT
fumecheng-2259	85	78	t	t	PROPN
fumecheng-2259	85	79	z	z	PROPN
fumecheng-2259	85	80	v	v	PROPN
fumecheng-2259	85	81	x	x	PROPN
fumecheng-2259	85	82	,	,	PUNCT
fumecheng-2259	85	83	z	z	PROPN
fumecheng-2259	85	84	,	,	PUNCT
fumecheng-2259	85	85	t	t	PROPN
fumecheng-2259	85	86	w	w	PROPN
fumecheng-2259	85	87	x	x	PROPN
fumecheng-2259	85	88	,	,	PUNCT
fumecheng-2259	85	89	z	z	PROPN
fumecheng-2259	85	90	,	,	PUNCT
fumecheng-2259	85	91	t	t	PROPN
fumecheng-2259	85	92	w	w	PROPN
fumecheng-2259	85	93	x	x	SYM
fumecheng-2259	85	94	t	t	PROPN
fumecheng-2259	85	95	x	x	SYM
fumecheng-2259	85	96			ADJ
fumecheng-2259	85	97			PROPN
fumecheng-2259	85	98			PROPN
fumecheng-2259	85	99			PROPN
fumecheng-2259	85	100			PROPN
fumecheng-2259	85	101			ADJ
fumecheng-2259	85	102	(	(	PUNCT
fumecheng-2259	85	103	7	7	NUM
fumecheng-2259	85	104	)	)	PUNCT
fumecheng-2259	85	105	thermal	thermal	ADJ
fumecheng-2259	85	106	effect	effect	NOUN
fumecheng-2259	85	107	on	on	ADP
fumecheng-2259	85	108	the	the	DET
fumecheng-2259	85	109	free	free	ADJ
fumecheng-2259	85	110	vibration	vibration	NOUN
fumecheng-2259	85	111	and	and	CCONJ
fumecheng-2259	85	112	buckling	buckling	NOUN
fumecheng-2259	85	113	of	of	ADP
fumecheng-2259	85	114	a	a	DET
fumecheng-2259	85	115	double	double	ADJ
fumecheng-2259	85	116	-	-	PUNCT
fumecheng-2259	85	117	microbeam	microbeam	NOUN
fumecheng-2259	85	118	system	system	NOUN
fumecheng-2259	85	119	49	49	NUM
fumecheng-2259	85	120	where	where	SCONJ
fumecheng-2259	85	121	w0(x	w0(x	PROPN
fumecheng-2259	85	122	,	,	PUNCT
fumecheng-2259	85	123	t	t	PROPN
fumecheng-2259	85	124	)	)	PUNCT
fumecheng-2259	85	125	is	be	AUX
fumecheng-2259	85	126	the	the	DET
fumecheng-2259	85	127	midplane	midplane	ADJ
fumecheng-2259	85	128	displacement	displacement	NOUN
fumecheng-2259	85	129	.	.	PUNCT
fumecheng-2259	86	1	from	from	ADP
fumecheng-2259	86	2	vector	vector	PROPN
fumecheng-2259	86	3	eqs	eqs	PROPN
fumecheng-2259	86	4	.	.	PUNCT
fumecheng-2259	87	1	(	(	PUNCT
fumecheng-2259	87	2	3)-(5	3)-(5	NUM
fumecheng-2259	87	3	)	)	PUNCT
fumecheng-2259	87	4	and	and	CCONJ
fumecheng-2259	87	5	displacements	displacement	NOUN
fumecheng-2259	87	6	(	(	PUNCT
fumecheng-2259	87	7	7	7	X
fumecheng-2259	87	8	)	)	PUNCT
fumecheng-2259	87	9	it	it	PRON
fumecheng-2259	87	10	follows	follow	VERB
fumecheng-2259	87	11	that	that	SCONJ
fumecheng-2259	87	12	2	2	NUM
fumecheng-2259	87	13	0	0	NUM
fumecheng-2259	87	14	0	0	NUM
fumecheng-2259	87	15	2	2	NUM
fumecheng-2259	87	16	(	(	PUNCT
fumecheng-2259	87	17	,	,	PUNCT
fumecheng-2259	87	18	)	)	PUNCT
fumecheng-2259	87	19	(	(	PUNCT
fumecheng-2259	87	20	,	,	PUNCT
fumecheng-2259	87	21	)	)	PUNCT
fumecheng-2259	87	22	,	,	PUNCT
fumecheng-2259	87	23	0	0	NUM
fumecheng-2259	87	24	,	,	PUNCT
fumecheng-2259	87	25	,	,	PUNCT
fumecheng-2259	87	26	0,xx	0,xx	NUM
fumecheng-2259	87	27	yy	yy	PROPN
fumecheng-2259	88	1	zz	zz	INTJ
fumecheng-2259	89	1	xz	xz	PROPN
fumecheng-2259	90	1	yz	yz	INTJ
fumecheng-2259	90	2	xy	xy	PROPN
fumecheng-2259	91	1	y	y	PROPN
fumecheng-2259	91	2	x	x	PROPN
fumecheng-2259	92	1	z	z	NOUN
fumecheng-2259	92	2	w	w	PROPN
fumecheng-2259	92	3	x	x	SYM
fumecheng-2259	92	4	t	t	PROPN
fumecheng-2259	92	5	w	w	PROPN
fumecheng-2259	92	6	x	x	PROPN
fumecheng-2259	92	7	t	t	PROPN
fumecheng-2259	92	8	z	z	NOUN
fumecheng-2259	92	9	xx	xx	NUM
fumecheng-2259	93	1			PROPN
fumecheng-2259	93	2			PROPN
fumecheng-2259	93	3			PROPN
fumecheng-2259	93	4			PROPN
fumecheng-2259	93	5			PROPN
fumecheng-2259	93	6			PROPN
fumecheng-2259	93	7			PROPN
fumecheng-2259	94	1			PROPN
fumecheng-2259	94	2			X
fumecheng-2259	94	3			PROPN
fumecheng-2259	94	4			PROPN
fumecheng-2259	94	5			PROPN
fumecheng-2259	94	6			PROPN
fumecheng-2259	94	7			NOUN
fumecheng-2259	95	1			NUM
fumecheng-2259	95	2			PRON
fumecheng-2259	96	1			NUM
fumecheng-2259	97	1			NUM
fumecheng-2259	97	2			PROPN
fumecheng-2259	97	3			NOUN
fumecheng-2259	97	4			NOUN
fumecheng-2259	97	5			PROPN
fumecheng-2259	97	6			NOUN
fumecheng-2259	97	7	(	(	PUNCT
fumecheng-2259	97	8	8)	8)	NUM
fumecheng-2259	97	9	2	2	NUM
fumecheng-2259	97	10	0	0	NUM
fumecheng-2259	97	11	2	2	NUM
fumecheng-2259	97	12	(	(	PUNCT
fumecheng-2259	97	13	,	,	PUNCT
fumecheng-2259	97	14	)	)	PUNCT
fumecheng-2259	97	15	1	1	NUM
fumecheng-2259	97	16	,	,	PUNCT
fumecheng-2259	97	17	0	0	NUM
fumecheng-2259	97	18	,	,	PUNCT
fumecheng-2259	97	19	2	2	NUM
fumecheng-2259	97	20	xy	xy	NOUN
fumecheng-2259	98	1	yy	yy	INTJ
fumecheng-2259	98	2	zz	zz	INTJ
fumecheng-2259	99	1	xz	xz	PROPN
fumecheng-2259	100	1	yz	yz	INTJ
fumecheng-2259	100	2	xy	xy	PROPN
fumecheng-2259	101	1	w	w	PROPN
fumecheng-2259	101	2	x	x	SYM
fumecheng-2259	101	3	t	t	NOUN
fumecheng-2259	101	4	x	x	VERB
fumecheng-2259	101	5			NOUN
fumecheng-2259	101	6			AUX
fumecheng-2259	101	7			VERB
fumecheng-2259	101	8			VERB
fumecheng-2259	101	9			VERB
fumecheng-2259	101	10			VERB
fumecheng-2259	101	11			PROPN
fumecheng-2259	101	12			PROPN
fumecheng-2259	101	13			PROPN
fumecheng-2259	102	1			NOUN
fumecheng-2259	103	1			NUM
fumecheng-2259	103	2			PRON
fumecheng-2259	104	1			PRON
fumecheng-2259	104	2			PROPN
fumecheng-2259	104	3			ADJ
fumecheng-2259	104	4	(	(	PUNCT
fumecheng-2259	104	5	9	9	NUM
fumecheng-2259	104	6	)	)	SYM
fumecheng-2259	104	7	2	2	NUM
fumecheng-2259	104	8	2	2	NUM
fumecheng-2259	104	9	0	0	NUM
fumecheng-2259	104	10	2	2	NUM
fumecheng-2259	104	11	(	(	PUNCT
fumecheng-2259	104	12	,	,	PUNCT
fumecheng-2259	104	13	)	)	PUNCT
fumecheng-2259	104	14	,	,	PUNCT
fumecheng-2259	104	15	0	0	NUM
fumecheng-2259	104	16	,	,	PUNCT
fumecheng-2259	104	17	xy	xy	PROPN
fumecheng-2259	104	18	xx	xx	NUM
fumecheng-2259	105	1	yy	yy	INTJ
fumecheng-2259	106	1	zz	zz	INTJ
fumecheng-2259	107	1	xz	xz	PROPN
fumecheng-2259	108	1	yz	yz	INTJ
fumecheng-2259	108	2	w	w	PROPN
fumecheng-2259	108	3	x	x	PROPN
fumecheng-2259	108	4	t	t	PROPN
fumecheng-2259	108	5	m	m	VERB
fumecheng-2259	108	6	μl	μl	ADP
fumecheng-2259	108	7	m	m	VERB
fumecheng-2259	108	8	m	m	VERB
fumecheng-2259	108	9	m	m	VERB
fumecheng-2259	108	10	m	m	VERB
fumecheng-2259	108	11	m	m	ADJ
fumecheng-2259	108	12	x	x	X
fumecheng-2259	108	13			ADJ
fumecheng-2259	108	14			PROPN
fumecheng-2259	108	15			PROPN
fumecheng-2259	109	1			NOUN
fumecheng-2259	110	1			NUM
fumecheng-2259	110	2			PRON
fumecheng-2259	111	1			PRON
fumecheng-2259	111	2			PROPN
fumecheng-2259	111	3			ADJ
fumecheng-2259	111	4	(	(	PUNCT
fumecheng-2259	111	5	10	10	NUM
fumecheng-2259	111	6	)	)	SYM
fumecheng-2259	111	7	2	2	NUM
fumecheng-2259	111	8	0	0	NUM
fumecheng-2259	111	9	2	2	NUM
fumecheng-2259	111	10	(	(	PUNCT
fumecheng-2259	111	11	,	,	PUNCT
fumecheng-2259	111	12	)	)	PUNCT
fumecheng-2259	111	13	(	(	PUNCT
fumecheng-2259	111	14	1	1	NUM
fumecheng-2259	111	15	)	)	PUNCT
fumecheng-2259	111	16	,	,	PUNCT
fumecheng-2259	111	17	0	0	NUM
fumecheng-2259	111	18	,	,	PUNCT
fumecheng-2259	111	19	(	(	PUNCT
fumecheng-2259	111	20	1	1	NUM
fumecheng-2259	111	21	)	)	PUNCT
fumecheng-2259	111	22	(	(	PUNCT
fumecheng-2259	111	23	1	1	NUM
fumecheng-2259	111	24	2	2	NUM
fumecheng-2259	111	25	)	)	PUNCT
fumecheng-2259	111	26	xx	xx	NUM
fumecheng-2259	112	1	yy	yy	INTJ
fumecheng-2259	112	2	zz	zz	INTJ
fumecheng-2259	113	1	xz	xz	PROPN
fumecheng-2259	114	1	yz	yz	INTJ
fumecheng-2259	114	2	xy	xy	PROPN
fumecheng-2259	115	1	w	w	PROPN
fumecheng-2259	115	2	x	x	PUNCT
fumecheng-2259	115	3	te	te	ADP
fumecheng-2259	115	4	z	z	PROPN
fumecheng-2259	115	5	t	t	PROPN
fumecheng-2259	115	6	x	x	X
fumecheng-2259	115	7			ADJ
fumecheng-2259	115	8			X
fumecheng-2259	115	9			NOUN
fumecheng-2259	115	10			X
fumecheng-2259	115	11			X
fumecheng-2259	115	12			X
fumecheng-2259	115	13			X
fumecheng-2259	115	14			X
fumecheng-2259	115	15			NOUN
fumecheng-2259	115	16			NOUN
fumecheng-2259	115	17			NOUN
fumecheng-2259	115	18			PROPN
fumecheng-2259	116	1			PROPN
fumecheng-2259	116	2			PROPN
fumecheng-2259	116	3			PUNCT
fumecheng-2259	116	4			PUNCT
fumecheng-2259	117	1			NOUN
fumecheng-2259	117	2			NUM
fumecheng-2259	117	3			NUM
fumecheng-2259	117	4			NOUN
fumecheng-2259	117	5			PUNCT
fumecheng-2259	117	6			PROPN
fumecheng-2259	117	7			ADV
fumecheng-2259	117	8			PROPN
fumecheng-2259	117	9			ADJ
fumecheng-2259	117	10			NOUN
fumecheng-2259	117	11	(	(	PUNCT
fumecheng-2259	117	12	11	11	NUM
fumecheng-2259	117	13	)	)	PUNCT
fumecheng-2259	117	14	where	where	SCONJ
fumecheng-2259	117	15	e	e	NOUN
fumecheng-2259	117	16	is	be	AUX
fumecheng-2259	117	17	young	young	ADJ
fumecheng-2259	117	18	’s	’s	PART
fumecheng-2259	117	19	modulus	modulus	NOUN
fumecheng-2259	117	20	,	,	PUNCT
fumecheng-2259	117	21	α	α	PROPN
fumecheng-2259	117	22	is	be	AUX
fumecheng-2259	117	23	the	the	DET
fumecheng-2259	117	24	coefficient	coefficient	NOUN
fumecheng-2259	117	25	of	of	ADP
fumecheng-2259	117	26	thermal	thermal	ADJ
fumecheng-2259	117	27	expansion	expansion	NOUN
fumecheng-2259	117	28	,	,	PUNCT
fumecheng-2259	117	29	ν	ν	PROPN
fumecheng-2259	117	30	is	be	AUX
fumecheng-2259	117	31	poisson	poisson	NOUN
fumecheng-2259	117	32	's	's	PART
fumecheng-2259	117	33	ratio	ratio	NOUN
fumecheng-2259	117	34	and	and	CCONJ
fumecheng-2259	117	35	δt	δt	NOUN
fumecheng-2259	117	36	=	=	NOUN
fumecheng-2259	117	37	tt0	tt0	NOUN
fumecheng-2259	117	38	is	be	AUX
fumecheng-2259	117	39	the	the	DET
fumecheng-2259	117	40	temperature	temperature	NOUN
fumecheng-2259	117	41	change	change	NOUN
fumecheng-2259	117	42	with	with	ADP
fumecheng-2259	117	43	a	a	DET
fumecheng-2259	117	44	respect	respect	NOUN
fumecheng-2259	117	45	to	to	PART
fumecheng-2259	117	46	reference	reference	VERB
fumecheng-2259	117	47	temperature	temperature	NOUN
fumecheng-2259	117	48	t0	t0	PROPN
fumecheng-2259	117	49	and	and	CCONJ
fumecheng-2259	117	50	assuming	assume	VERB
fumecheng-2259	117	51	no	no	DET
fumecheng-2259	117	52	shear	shear	NOUN
fumecheng-2259	117	53	strains	strain	NOUN
fumecheng-2259	117	54	are	be	AUX
fumecheng-2259	117	55	created	create	VERB
fumecheng-2259	117	56	by	by	ADP
fumecheng-2259	117	57	temperature	temperature	NOUN
fumecheng-2259	117	58	change	change	NOUN
fumecheng-2259	117	59	.	.	PUNCT
fumecheng-2259	118	1	in	in	ADP
fumecheng-2259	118	2	this	this	DET
fumecheng-2259	118	3	study	study	NOUN
fumecheng-2259	118	4	,	,	PUNCT
fumecheng-2259	118	5	the	the	DET
fumecheng-2259	118	6	equilibrium	equilibrium	NOUN
fumecheng-2259	118	7	equations	equation	NOUN
fumecheng-2259	118	8	are	be	AUX
fumecheng-2259	118	9	derived	derive	VERB
fumecheng-2259	118	10	by	by	ADP
fumecheng-2259	118	11	the	the	DET
fumecheng-2259	118	12	principle	principle	NOUN
fumecheng-2259	118	13	of	of	ADP
fumecheng-2259	118	14	total	total	ADJ
fumecheng-2259	118	15	potential	potential	ADJ
fumecheng-2259	118	16	energy	energy	NOUN
fumecheng-2259	118	17	[	[	X
fumecheng-2259	118	18	15	15	NUM
fumecheng-2259	118	19	,	,	PUNCT
fumecheng-2259	118	20	16	16	NUM
fumecheng-2259	118	21	]	]	PUNCT
fumecheng-2259	118	22	.	.	PUNCT
fumecheng-2259	119	1	from	from	ADP
fumecheng-2259	119	2	eqs	eqs	X
fumecheng-2259	119	3	(	(	PUNCT
fumecheng-2259	119	4	2	2	NUM
fumecheng-2259	119	5	)	)	PUNCT
fumecheng-2259	119	6	and	and	CCONJ
fumecheng-2259	119	7	(	(	PUNCT
fumecheng-2259	119	8	8)	8)	NUM
fumecheng-2259	119	9	(	(	PUNCT
fumecheng-2259	119	10	11	11	NUM
fumecheng-2259	119	11	)	)	PUNCT
fumecheng-2259	119	12	,	,	PUNCT
fumecheng-2259	119	13	the	the	DET
fumecheng-2259	119	14	variation	variation	NOUN
fumecheng-2259	119	15	of	of	ADP
fumecheng-2259	119	16	strain	strain	ADJ
fumecheng-2259	119	17	energy	energy	NOUN
fumecheng-2259	119	18	in	in	ADP
fumecheng-2259	119	19	the	the	DET
fumecheng-2259	119	20	doublebeam	doublebeam	NOUN
fumecheng-2259	119	21	system	system	NOUN
fumecheng-2259	119	22	can	can	AUX
fumecheng-2259	119	23	be	be	AUX
fumecheng-2259	119	24	determined	determine	VERB
fumecheng-2259	119	25	as	as	ADP
fumecheng-2259	119	26	2	2	NUM
fumecheng-2259	119	27	2	2	NUM
fumecheng-2259	119	28	0	0	NUM
fumecheng-2259	119	29	0	0	NUM
fumecheng-2259	119	30	2	2	NUM
fumecheng-2259	119	31	2	2	NUM
fumecheng-2259	119	32	0	0	NUM
fumecheng-2259	119	33	(	(	PUNCT
fumecheng-2259	119	34	2	2	NUM
fumecheng-2259	119	35	)	)	PUNCT
fumecheng-2259	119	36	,	,	PUNCT
fumecheng-2259	119	37	(	(	PUNCT
fumecheng-2259	119	38	1,2	1,2	NUM
fumecheng-2259	119	39	)	)	PUNCT
fumecheng-2259	119	40	,	,	PUNCT
fumecheng-2259	120	1	l	l	NOUN
fumecheng-2259	121	1	i	i	PRON
fumecheng-2259	121	2	i	i	PRON
fumecheng-2259	121	3	s	s	VERB
fumecheng-2259	121	4	xx	xx	NUM
fumecheng-2259	122	1	xx	xx	NUM
fumecheng-2259	123	1	xy	xy	INTJ
fumecheng-2259	123	2	xy	xy	INTJ
fumecheng-2259	124	1	xi	xi	X
fumecheng-2259	124	2	xyi	xyi	PROPN
fumecheng-2259	125	1	w	w	PROPN
fumecheng-2259	125	2	w	w	PROPN
fumecheng-2259	125	3	u	u	PROPN
fumecheng-2259	125	4	m	m	PROPN
fumecheng-2259	125	5	dv	dv	PROPN
fumecheng-2259	125	6	m	m	PROPN
fumecheng-2259	125	7	y	y	PROPN
fumecheng-2259	125	8	dx	dx	PROPN
fumecheng-2259	126	1	i	i	NOUN
fumecheng-2259	126	2	x	x	PUNCT
fumecheng-2259	127	1	x	x	X
fumecheng-2259	127	2			NUM
fumecheng-2259	127	3			PROPN
fumecheng-2259	127	4			NOUN
fumecheng-2259	127	5			VERB
fumecheng-2259	127	6			PROPN
fumecheng-2259	127	7			NUM
fumecheng-2259	127	8			PROPN
fumecheng-2259	127	9			NOUN
fumecheng-2259	127	10			NOUN
fumecheng-2259	127	11			PROPN
fumecheng-2259	127	12			NUM
fumecheng-2259	127	13			ADJ
fumecheng-2259	127	14			NUM
fumecheng-2259	127	15			PROPN
fumecheng-2259	127	16			PROPN
fumecheng-2259	127	17			PUNCT
fumecheng-2259	127	18			PROPN
fumecheng-2259	128	1			PROPN
fumecheng-2259	128	2			ADJ
fumecheng-2259	128	3			NOUN
fumecheng-2259	128	4			PUNCT
fumecheng-2259	128	5			PUNCT
fumecheng-2259	128	6	(	(	PUNCT
fumecheng-2259	128	7	12	12	NUM
fumecheng-2259	128	8	)	)	PUNCT
fumecheng-2259	128	9	where	where	SCONJ
fumecheng-2259	128	10	mxi	mxi	PROPN
fumecheng-2259	128	11	and	and	CCONJ
fumecheng-2259	128	12	yxyi	yxyi	NOUN
fumecheng-2259	128	13	are	be	AUX
fumecheng-2259	128	14	the	the	DET
fumecheng-2259	128	15	stress	stress	NOUN
fumecheng-2259	128	16	resultant	resultant	VERB
fumecheng-2259	128	17	moments	moment	NOUN
fumecheng-2259	128	18	and	and	CCONJ
fumecheng-2259	128	19	couple	couple	NOUN
fumecheng-2259	128	20	moments	moment	NOUN
fumecheng-2259	128	21	for	for	ADP
fumecheng-2259	128	22	the	the	DET
fumecheng-2259	128	23	first	first	ADJ
fumecheng-2259	128	24	and	and	CCONJ
fumecheng-2259	128	25	second	second	ADJ
fumecheng-2259	128	26	microbeam	microbeam	NOUN
fumecheng-2259	128	27	,	,	PUNCT
fumecheng-2259	128	28	respectively	respectively	ADV
fumecheng-2259	128	29	,	,	PUNCT
fumecheng-2259	128	30	defined	define	VERB
fumecheng-2259	128	31	as	as	ADP
fumecheng-2259	128	32	.	.	PROPN
fumecheng-2259	128	33	,	,	PUNCT
fumecheng-2259	128	34	2	2	NUM
fumecheng-2259	128	35	0	0	NUM
fumecheng-2259	128	36	2	2	NUM
fumecheng-2259	128	37	2	2	NUM
fumecheng-2259	128	38	2	2	NUM
fumecheng-2259	128	39	0	0	NUM
fumecheng-2259	128	40	2	2	NUM
fumecheng-2259	128	41	x	x	SYM
fumecheng-2259	128	42	w	w	NOUN
fumecheng-2259	128	43	ladamy	ladamy	NOUN
fumecheng-2259	128	44	x	x	X
fumecheng-2259	128	45	w	w	NOUN
fumecheng-2259	128	46	ddazm	ddazm	NOUN
fumecheng-2259	129	1	i	i	PRON
fumecheng-2259	129	2	xzi	xzi	PROPN
fumecheng-2259	130	1	a	a	DET
fumecheng-2259	130	2	xyxyi	xyxyi	NOUN
fumecheng-2259	130	3	i	i	PRON
fumecheng-2259	130	4	xxi	xxi	VERB
fumecheng-2259	130	5	a	a	DET
fumecheng-2259	130	6	xxxi	xxxi	PROPN
fumecheng-2259	130	7	ii	ii	PROPN
fumecheng-2259	130	8			PROPN
fumecheng-2259	130	9			PROPN
fumecheng-2259	130	10			NUM
fumecheng-2259	130	11			PROPN
fumecheng-2259	130	12			PROPN
fumecheng-2259	130	13			NUM
fumecheng-2259	130	14			X
fumecheng-2259	130	15			X
fumecheng-2259	130	16	(	(	PUNCT
fumecheng-2259	130	17	13	13	NUM
fumecheng-2259	130	18	)	)	PUNCT
fumecheng-2259	130	19	the	the	DET
fumecheng-2259	130	20	stiffness	stiffness	ADJ
fumecheng-2259	130	21	components	component	NOUN
fumecheng-2259	130	22	in	in	ADP
fumecheng-2259	130	23	eqs	eqs	PROPN
fumecheng-2259	130	24	.	.	PUNCT
fumecheng-2259	131	1	(	(	PUNCT
fumecheng-2259	131	2	13	13	NUM
fumecheng-2259	131	3	)	)	PUNCT
fumecheng-2259	131	4	are	be	AUX
fumecheng-2259	131	5	defined	define	VERB
fumecheng-2259	131	6	as	as	ADP
fumecheng-2259	131	7	[	[	X
fumecheng-2259	131	8	22	22	NUM
fumecheng-2259	131	9	]	]	SYM
fumecheng-2259	131	10	2(1	2(1	NUM
fumecheng-2259	131	11	)	)	PUNCT
fumecheng-2259	131	12	{	{	PUNCT
fumecheng-2259	131	13	,	,	PUNCT
fumecheng-2259	131	14	}	}	PUNCT
fumecheng-2259	131	15	{	{	PUNCT
fumecheng-2259	131	16	1	1	NUM
fumecheng-2259	131	17	,	,	PUNCT
fumecheng-2259	131	18	}	}	PUNCT
fumecheng-2259	131	19	,	,	PUNCT
fumecheng-2259	131	20	,	,	PUNCT
fumecheng-2259	131	21	(	(	PUNCT
fumecheng-2259	131	22	1,2	1,2	NUM
fumecheng-2259	131	23	)	)	PUNCT
fumecheng-2259	131	24	.	.	PUNCT
fumecheng-2259	132	1	(	(	PUNCT
fumecheng-2259	132	2	1	1	X
fumecheng-2259	132	3	)	)	PUNCT
fumecheng-2259	132	4	(	(	PUNCT
fumecheng-2259	132	5	1	1	NUM
fumecheng-2259	132	6	2	2	NUM
fumecheng-2259	132	7	)	)	PUNCT
fumecheng-2259	133	1	i	i	PRON
fumecheng-2259	133	2	i	i	PRON
fumecheng-2259	134	1	i	i	VERB
fumecheng-2259	134	2	xx	xx	VERB
fumecheng-2259	135	1	xx	xx	NUM
fumecheng-2259	136	1	i	i	PRON
fumecheng-2259	136	2	xz	xz	INTJ
fumecheng-2259	137	1	i	i	PRON
fumecheng-2259	137	2	a	a	DET
fumecheng-2259	137	3	a	a	DET
fumecheng-2259	137	4	e	e	NOUN
fumecheng-2259	137	5	a	a	DET
fumecheng-2259	137	6	d	d	X
fumecheng-2259	137	7	z	z	NOUN
fumecheng-2259	137	8	da	da	PROPN
fumecheng-2259	137	9	a	a	DET
fumecheng-2259	137	10	da	da	X
fumecheng-2259	137	11	i	i	PRON
fumecheng-2259	137	12			ADJ
fumecheng-2259	137	13			NOUN
fumecheng-2259	137	14			X
fumecheng-2259	137	15			ADJ
fumecheng-2259	137	16			PROPN
fumecheng-2259	137	17			PROPN
fumecheng-2259	138	1			NUM
fumecheng-2259	138	2			PROPN
fumecheng-2259	138	3			ADV
fumecheng-2259	138	4			NOUN
fumecheng-2259	138	5			PUNCT
fumecheng-2259	138	6	(	(	PUNCT
fumecheng-2259	138	7	14	14	NUM
fumecheng-2259	138	8	)	)	PUNCT
fumecheng-2259	138	9	using	use	VERB
fumecheng-2259	138	10	the	the	DET
fumecheng-2259	138	11	displacement	displacement	ADJ
fumecheng-2259	138	12	field	field	NOUN
fumecheng-2259	138	13	components	component	NOUN
fumecheng-2259	138	14	given	give	VERB
fumecheng-2259	138	15	in	in	ADP
fumecheng-2259	138	16	eq	eq	ADP
fumecheng-2259	138	17	.	.	PUNCT
fumecheng-2259	139	1	(	(	PUNCT
fumecheng-2259	139	2	7	7	NUM
fumecheng-2259	139	3	)	)	PUNCT
fumecheng-2259	139	4	,	,	PUNCT
fumecheng-2259	139	5	we	we	PRON
fumecheng-2259	139	6	obtain	obtain	VERB
fumecheng-2259	139	7	the	the	DET
fumecheng-2259	139	8	variation	variation	NOUN
fumecheng-2259	139	9	of	of	ADP
fumecheng-2259	139	10	kinetic	kinetic	ADJ
fumecheng-2259	139	11	energy	energy	NOUN
fumecheng-2259	139	12	in	in	ADP
fumecheng-2259	139	13	the	the	DET
fumecheng-2259	139	14	form	form	NOUN
fumecheng-2259	139	15	)	)	PUNCT
fumecheng-2259	139	16	,	,	PUNCT
fumecheng-2259	139	17	2,1	2,1	NUM
fumecheng-2259	139	18	(	(	PUNCT
fumecheng-2259	139	19	,	,	PUNCT
fumecheng-2259	139	20	,	,	PUNCT
fumecheng-2259	139	21	0	0	NUM
fumecheng-2259	139	22	0	0	NUM
fumecheng-2259	139	23	02	02	NUM
fumecheng-2259	139	24	0	0	NUM
fumecheng-2259	139	25	2	2	NUM
fumecheng-2259	139	26	0	0	NUM
fumecheng-2259	139	27			VERB
fumecheng-2259	139	28			ADJ
fumecheng-2259	139	29			ADJ
fumecheng-2259	139	30			PROPN
fumecheng-2259	139	31			ADV
fumecheng-2259	139	32	iadamdxw	iadamdxw	VERB
fumecheng-2259	139	33	t	t	PROPN
fumecheng-2259	139	34	w	w	PROPN
fumecheng-2259	139	35	mk	mk	PROPN
fumecheng-2259	139	36	iii	iii	PROPN
fumecheng-2259	139	37	a	a	DET
fumecheng-2259	139	38	ii	ii	NOUN
fumecheng-2259	139	39	l	l	NOUN
fumecheng-2259	140	1	i	i	PRON
fumecheng-2259	140	2	i	i	PRON
fumecheng-2259	140	3	ie	ie	ADV
fumecheng-2259	140	4	i	i	PRON
fumecheng-2259	140	5			PROPN
fumecheng-2259	140	6	(	(	PUNCT
fumecheng-2259	140	7	15	15	NUM
fumecheng-2259	140	8	)	)	PUNCT
fumecheng-2259	140	9	where	where	SCONJ
fumecheng-2259	140	10	ρi	ρi	NOUN
fumecheng-2259	140	11	is	be	AUX
fumecheng-2259	140	12	the	the	DET
fumecheng-2259	140	13	mass	mass	ADJ
fumecheng-2259	140	14	density	density	NOUN
fumecheng-2259	140	15	for	for	ADP
fumecheng-2259	140	16	the	the	DET
fumecheng-2259	140	17	first	first	ADJ
fumecheng-2259	140	18	and	and	CCONJ
fumecheng-2259	140	19	second	second	ADJ
fumecheng-2259	140	20	microbeam	microbeam	NOUN
fumecheng-2259	140	21	.	.	PUNCT
fumecheng-2259	141	1	the	the	DET
fumecheng-2259	141	2	first	first	ADJ
fumecheng-2259	141	3	variation	variation	NOUN
fumecheng-2259	141	4	of	of	ADP
fumecheng-2259	141	5	the	the	DET
fumecheng-2259	141	6	additional	additional	ADJ
fumecheng-2259	141	7	strain	strain	NOUN
fumecheng-2259	141	8	energy	energy	NOUN
fumecheng-2259	141	9	caused	cause	VERB
fumecheng-2259	141	10	by	by	ADP
fumecheng-2259	141	11	the	the	DET
fumecheng-2259	141	12	elastic	elastic	ADJ
fumecheng-2259	141	13	medium	medium	NOUN
fumecheng-2259	141	14	is	be	AUX
fumecheng-2259	141	15	written	write	VERB
fumecheng-2259	141	16	by	by	ADP
fumecheng-2259	141	17	01	01	NUM
fumecheng-2259	141	18	01	01	NUM
fumecheng-2259	141	19	02	02	NUM
fumecheng-2259	141	20	02	02	NUM
fumecheng-2259	141	21	01	01	NUM
fumecheng-2259	141	22	02	02	NUM
fumecheng-2259	141	23	01	01	NUM
fumecheng-2259	141	24	02	02	NUM
fumecheng-2259	141	25	0	0	NUM
fumecheng-2259	141	26	(	(	PUNCT
fumecheng-2259	141	27	)	)	PUNCT
fumecheng-2259	141	28	(	(	PUNCT
fumecheng-2259	141	29	)	)	PUNCT
fumecheng-2259	141	30	,	,	PUNCT
fumecheng-2259	141	31	l	l	X
fumecheng-2259	141	32	ad	ad	NOUN
fumecheng-2259	141	33	w	w	PROPN
fumecheng-2259	141	34	w	w	PROPN
fumecheng-2259	141	35	w	w	PROPN
fumecheng-2259	141	36	w	w	PROPN
fumecheng-2259	141	37	u	u	PROPN
fumecheng-2259	141	38	k	k	PROPN
fumecheng-2259	141	39	w	w	PROPN
fumecheng-2259	141	40	w	w	PROPN
fumecheng-2259	141	41	w	w	PROPN
fumecheng-2259	141	42	w	w	PROPN
fumecheng-2259	141	43	g	g	PROPN
fumecheng-2259	141	44	g	g	PROPN
fumecheng-2259	141	45	dx	dx	PROPN
fumecheng-2259	141	46	x	x	PUNCT
fumecheng-2259	141	47	x	x	PUNCT
fumecheng-2259	141	48	x	x	PUNCT
fumecheng-2259	141	49	x	x	SYM
fumecheng-2259	141	50			NUM
fumecheng-2259	141	51			NUM
fumecheng-2259	141	52			NUM
fumecheng-2259	141	53			ADJ
fumecheng-2259	141	54			ADJ
fumecheng-2259	141	55			ADJ
fumecheng-2259	141	56			PROPN
fumecheng-2259	141	57			NUM
fumecheng-2259	141	58			NUM
fumecheng-2259	141	59			PROPN
fumecheng-2259	141	60			PROPN
fumecheng-2259	141	61			PROPN
fumecheng-2259	141	62			PROPN
fumecheng-2259	141	63			NOUN
fumecheng-2259	141	64			ADJ
fumecheng-2259	141	65			ADJ
fumecheng-2259	141	66			PROPN
fumecheng-2259	141	67			PROPN
fumecheng-2259	141	68			PROPN
fumecheng-2259	141	69			PUNCT
fumecheng-2259	141	70	(	(	PUNCT
fumecheng-2259	141	71	16	16	NUM
fumecheng-2259	141	72	)	)	SYM
fumecheng-2259	141	73	50	50	NUM
fumecheng-2259	141	74	m.	m.	NOUN
fumecheng-2259	141	75	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	141	76	atanasov	atanasov	NOUN
fumecheng-2259	141	77	,	,	PUNCT
fumecheng-2259	141	78	d.	d.	PROPN
fumecheng-2259	141	79	karliţiš	karliţiš	PROPN
fumecheng-2259	141	80	,	,	PUNCT
fumecheng-2259	141	81	p.	p.	PROPN
fumecheng-2259	141	82	koziš	koziš	PROPN
fumecheng-2259	141	83	,	,	PUNCT
fumecheng-2259	141	84	g.	g.	PROPN
fumecheng-2259	141	85	janevski	janevski	PROPN
fumecheng-2259	141	86	where	where	SCONJ
fumecheng-2259	141	87	k	k	PROPN
fumecheng-2259	141	88	and	and	CCONJ
fumecheng-2259	141	89	g	g	PROPN
fumecheng-2259	141	90	are	be	AUX
fumecheng-2259	141	91	the	the	DET
fumecheng-2259	141	92	spring	spring	NOUN
fumecheng-2259	141	93	constants	constant	NOUN
fumecheng-2259	141	94	of	of	ADP
fumecheng-2259	141	95	the	the	DET
fumecheng-2259	141	96	winkler	winkler	NOUN
fumecheng-2259	141	97	and	and	CCONJ
fumecheng-2259	141	98	pasternak	pasternak	PROPN
fumecheng-2259	141	99	elastic	elastic	ADJ
fumecheng-2259	141	100	medium	medium	NOUN
fumecheng-2259	141	101	,	,	PUNCT
fumecheng-2259	141	102	respectively	respectively	ADV
fumecheng-2259	141	103	.	.	PUNCT
fumecheng-2259	142	1	the	the	DET
fumecheng-2259	142	2	first	first	ADJ
fumecheng-2259	142	3	variation	variation	NOUN
fumecheng-2259	142	4	of	of	ADP
fumecheng-2259	142	5	the	the	DET
fumecheng-2259	142	6	work	work	NOUN
fumecheng-2259	142	7	done	do	VERB
fumecheng-2259	142	8	by	by	ADP
fumecheng-2259	142	9	axial	axial	ADJ
fumecheng-2259	142	10	forces	force	NOUN
fumecheng-2259	142	11	fxi	fxi	NOUN
fumecheng-2259	142	12	=	=	SYM
fumecheng-2259	142	13	fmi+ft	fmi+ft	NOUN
fumecheng-2259	142	14	,	,	PUNCT
fumecheng-2259	142	15	(	(	PUNCT
fumecheng-2259	142	16	i=1,2	i=1,2	ADJ
fumecheng-2259	142	17	)	)	PUNCT
fumecheng-2259	142	18	can	can	AUX
fumecheng-2259	142	19	be	be	AUX
fumecheng-2259	142	20	given	give	VERB
fumecheng-2259	142	21	as	as	ADP
fumecheng-2259	142	22	0	0	NUM
fumecheng-2259	142	23	0	0	NUM
fumecheng-2259	142	24	0	0	NUM
fumecheng-2259	142	25	(	(	PUNCT
fumecheng-2259	142	26	)	)	PUNCT
fumecheng-2259	142	27	,	,	PUNCT
fumecheng-2259	142	28	(	(	PUNCT
fumecheng-2259	142	29	1,2	1,2	NUM
fumecheng-2259	142	30	)	)	PUNCT
fumecheng-2259	142	31	,	,	PUNCT
fumecheng-2259	142	32	l	l	NOUN
fumecheng-2259	143	1	i	i	PRON
fumecheng-2259	143	2	i	i	PRON
fumecheng-2259	143	3	ext	ext	VERB
fumecheng-2259	143	4	mi	mi	PROPN
fumecheng-2259	143	5	t	t	PROPN
fumecheng-2259	143	6	w	w	PROPN
fumecheng-2259	143	7	w	w	PROPN
fumecheng-2259	143	8	w	w	PROPN
fumecheng-2259	143	9	f	f	PROPN
fumecheng-2259	143	10	f	f	PROPN
fumecheng-2259	143	11	dx	dx	PROPN
fumecheng-2259	144	1	i	i	NOUN
fumecheng-2259	144	2	x	x	PUNCT
fumecheng-2259	144	3	x	x	X
fumecheng-2259	145	1			NUM
fumecheng-2259	145	2			NUM
fumecheng-2259	145	3			ADJ
fumecheng-2259	145	4			ADJ
fumecheng-2259	145	5			PROPN
fumecheng-2259	145	6			ADJ
fumecheng-2259	145	7			PROPN
fumecheng-2259	145	8			ADJ
fumecheng-2259	145	9			NOUN
fumecheng-2259	145	10	(	(	PUNCT
fumecheng-2259	145	11	17	17	NUM
fumecheng-2259	145	12	)	)	PUNCT
fumecheng-2259	145	13	where	where	SCONJ
fumecheng-2259	145	14	ft	ft	NOUN
fumecheng-2259	145	15	=	=	PRON
fumecheng-2259	145	16	axxαδt	axxαδt	PRON
fumecheng-2259	145	17	is	be	AUX
fumecheng-2259	145	18	the	the	DET
fumecheng-2259	145	19	axial	axial	ADJ
fumecheng-2259	145	20	force	force	NOUN
fumecheng-2259	145	21	due	due	ADP
fumecheng-2259	145	22	to	to	ADP
fumecheng-2259	145	23	the	the	DET
fumecheng-2259	145	24	influence	influence	NOUN
fumecheng-2259	145	25	of	of	ADP
fumecheng-2259	145	26	the	the	DET
fumecheng-2259	145	27	temperature	temperature	NOUN
fumecheng-2259	145	28	change	change	NOUN
fumecheng-2259	145	29	and	and	CCONJ
fumecheng-2259	145	30	fmi	fmi	PROPN
fumecheng-2259	145	31	,	,	PUNCT
fumecheng-2259	145	32	(	(	PUNCT
fumecheng-2259	145	33	i=1,2	i=1,2	ADJ
fumecheng-2259	145	34	)	)	PUNCT
fumecheng-2259	145	35	is	be	AUX
fumecheng-2259	145	36	the	the	DET
fumecheng-2259	145	37	axial	axial	ADJ
fumecheng-2259	145	38	forces	force	NOUN
fumecheng-2259	145	39	due	due	ADP
fumecheng-2259	145	40	to	to	ADP
fumecheng-2259	145	41	the	the	DET
fumecheng-2259	145	42	mechanical	mechanical	ADJ
fumecheng-2259	145	43	loading	loading	NOUN
fumecheng-2259	145	44	for	for	ADP
fumecheng-2259	145	45	the	the	DET
fumecheng-2259	145	46	first	first	ADJ
fumecheng-2259	145	47	and	and	CCONJ
fumecheng-2259	145	48	second	second	ADJ
fumecheng-2259	145	49	microbeams	microbeam	NOUN
fumecheng-2259	145	50	.	.	PUNCT
fumecheng-2259	146	1	the	the	DET
fumecheng-2259	146	2	main	main	ADJ
fumecheng-2259	146	3	equation	equation	NOUN
fumecheng-2259	146	4	and	and	CCONJ
fumecheng-2259	146	5	the	the	DET
fumecheng-2259	146	6	boundary	boundary	ADJ
fumecheng-2259	146	7	conditions	condition	NOUN
fumecheng-2259	146	8	can	can	AUX
fumecheng-2259	146	9	be	be	AUX
fumecheng-2259	146	10	derived	derive	VERB
fumecheng-2259	146	11	by	by	ADP
fumecheng-2259	146	12	the	the	DET
fumecheng-2259	146	13	hamilton	hamilton	PROPN
fumecheng-2259	146	14	principles	principle	NOUN
fumecheng-2259	146	15	as	as	SCONJ
fumecheng-2259	146	16	follows	follow	VERB
fumecheng-2259	146	17	0	0	PUNCT
fumecheng-2259	147	1	[	[	PUNCT
fumecheng-2259	147	2	(	(	PUNCT
fumecheng-2259	147	3	)	)	PUNCT
fumecheng-2259	147	4	]	]	X
fumecheng-2259	147	5	0	0	X
fumecheng-2259	147	6	.	.	PUNCT
fumecheng-2259	147	7	t	t	PROPN
fumecheng-2259	147	8	e	e	NOUN
fumecheng-2259	147	9	s	s	X
fumecheng-2259	147	10	ad	ad	NOUN
fumecheng-2259	147	11	extk	extk	X
fumecheng-2259	147	12	u	u	X
fumecheng-2259	147	13	u	u	NOUN
fumecheng-2259	147	14	w	w	PROPN
fumecheng-2259	147	15	dt	dt	NOUN
fumecheng-2259	147	16			NUM
fumecheng-2259	147	17			NUM
fumecheng-2259	147	18			PROPN
fumecheng-2259	147	19			NOUN
fumecheng-2259	147	20			ADJ
fumecheng-2259	147	21			PROPN
fumecheng-2259	147	22	(	(	PUNCT
fumecheng-2259	147	23	18	18	NUM
fumecheng-2259	147	24	)	)	PUNCT
fumecheng-2259	147	25	if	if	SCONJ
fumecheng-2259	147	26	we	we	PRON
fumecheng-2259	147	27	substitute	substitute	VERB
fumecheng-2259	147	28	the	the	DET
fumecheng-2259	147	29	expressions	expression	NOUN
fumecheng-2259	147	30	for	for	ADP
fumecheng-2259	147	31	δus	δus	ADJ
fumecheng-2259	147	32	,	,	PUNCT
fumecheng-2259	147	33	δke	δke	ADJ
fumecheng-2259	147	34	,	,	PUNCT
fumecheng-2259	147	35	δuad	δuad	ADJ
fumecheng-2259	147	36	and	and	CCONJ
fumecheng-2259	147	37	δwext	δwext	NOUN
fumecheng-2259	147	38	from	from	ADP
fumecheng-2259	147	39	eqs	eqs	PROPN
fumecheng-2259	147	40	.	.	PUNCT
fumecheng-2259	148	1	(	(	PUNCT
fumecheng-2259	148	2	12	12	NUM
fumecheng-2259	148	3	)	)	PUNCT
fumecheng-2259	148	4	,	,	PUNCT
fumecheng-2259	148	5	(	(	PUNCT
fumecheng-2259	148	6	15	15	NUM
fumecheng-2259	148	7	)	)	PUNCT
fumecheng-2259	148	8	,	,	PUNCT
fumecheng-2259	148	9	(	(	PUNCT
fumecheng-2259	148	10	16	16	NUM
fumecheng-2259	148	11	)	)	PUNCT
fumecheng-2259	148	12	and	and	CCONJ
fumecheng-2259	148	13	(	(	PUNCT
fumecheng-2259	148	14	17	17	NUM
fumecheng-2259	148	15	)	)	PUNCT
fumecheng-2259	148	16	into	into	ADP
fumecheng-2259	148	17	eq	eq	NOUN
fumecheng-2259	148	18	.	.	PUNCT
fumecheng-2259	149	1	(	(	PUNCT
fumecheng-2259	149	2	18	18	NUM
fumecheng-2259	149	3	)	)	PUNCT
fumecheng-2259	149	4	and	and	CCONJ
fumecheng-2259	149	5	after	after	ADP
fumecheng-2259	149	6	integrating	integrate	VERB
fumecheng-2259	149	7	by	by	ADP
fumecheng-2259	149	8	parts	part	NOUN
fumecheng-2259	149	9	and	and	CCONJ
fumecheng-2259	149	10	then	then	ADV
fumecheng-2259	149	11	collecting	collect	VERB
fumecheng-2259	149	12	the	the	DET
fumecheng-2259	149	13	coefficients	coefficient	NOUN
fumecheng-2259	149	14	of	of	ADP
fumecheng-2259	149	15	δw01	δw01	PROPN
fumecheng-2259	149	16	and	and	CCONJ
fumecheng-2259	149	17	δw02	δw02	PROPN
fumecheng-2259	149	18	,	,	PUNCT
fumecheng-2259	149	19	the	the	DET
fumecheng-2259	149	20	equations	equation	NOUN
fumecheng-2259	149	21	of	of	ADP
fumecheng-2259	149	22	motion	motion	NOUN
fumecheng-2259	149	23	of	of	ADP
fumecheng-2259	149	24	the	the	DET
fumecheng-2259	149	25	double	double	ADJ
fumecheng-2259	149	26	microbeam	microbeam	NOUN
fumecheng-2259	149	27	system	system	NOUN
fumecheng-2259	149	28	are	be	AUX
fumecheng-2259	149	29	obtained	obtain	VERB
fumecheng-2259	149	30	in	in	ADP
fumecheng-2259	149	31	the	the	DET
fumecheng-2259	149	32	form	form	NOUN
fumecheng-2259	149	33	)	)	PUNCT
fumecheng-2259	149	34	,	,	PUNCT
fumecheng-2259	149	35	(	(	PUNCT
fumecheng-2259	149	36	)	)	PUNCT
fumecheng-2259	149	37	(:	(:	VERB
fumecheng-2259	149	38	02012	02012	NUM
fumecheng-2259	149	39	01	01	NUM
fumecheng-2259	149	40	2	2	NUM
fumecheng-2259	149	41	2	2	NUM
fumecheng-2259	149	42	01	01	NUM
fumecheng-2259	149	43	2	2	NUM
fumecheng-2259	149	44	12	12	NUM
fumecheng-2259	149	45	1	1	NUM
fumecheng-2259	149	46	2	2	NUM
fumecheng-2259	149	47	1	1	NUM
fumecheng-2259	149	48	2	2	NUM
fumecheng-2259	149	49	2	2	NUM
fumecheng-2259	149	50	01	01	NUM
fumecheng-2259	149	51	2	2	NUM
fumecheng-2259	149	52	0101	0101	NUM
fumecheng-2259	149	53	wwk	wwk	VERB
fumecheng-2259	149	54	x	x	PUNCT
fumecheng-2259	149	55	w	w	ADP
fumecheng-2259	149	56	g	g	PROPN
fumecheng-2259	149	57	x	x	SYM
fumecheng-2259	149	58	w	w	NOUN
fumecheng-2259	149	59	ff	ff	NOUN
fumecheng-2259	149	60	x	x	PUNCT
fumecheng-2259	149	61	y	y	NOUN
fumecheng-2259	149	62	x	x	PROPN
fumecheng-2259	149	63	m	m	VERB
fumecheng-2259	149	64	t	t	PROPN
fumecheng-2259	149	65	w	w	PROPN
fumecheng-2259	149	66	mw	mw	PROPN
fumecheng-2259	149	67	tm	tm	PROPN
fumecheng-2259	149	68	xyx	xyx	PROPN
fumecheng-2259	149	69			PROPN
fumecheng-2259	149	70			PROPN
fumecheng-2259	149	71			PROPN
fumecheng-2259	149	72			PROPN
fumecheng-2259	149	73			PROPN
fumecheng-2259	149	74			PROPN
fumecheng-2259	150	1			PROPN
fumecheng-2259	150	2			PROPN
fumecheng-2259	150	3			PROPN
fumecheng-2259	150	4			ADJ
fumecheng-2259	150	5			PROPN
fumecheng-2259	150	6			PROPN
fumecheng-2259	151	1			PROPN
fumecheng-2259	151	2			ADJ
fumecheng-2259	151	3			PROPN
fumecheng-2259	151	4			NUM
fumecheng-2259	151	5	(	(	PUNCT
fumecheng-2259	151	6	19	19	NUM
fumecheng-2259	151	7	)	)	PUNCT
fumecheng-2259	151	8	)	)	PUNCT
fumecheng-2259	151	9	.	.	PUNCT
fumecheng-2259	152	1	(	(	PUNCT
fumecheng-2259	152	2	)	)	PUNCT
fumecheng-2259	152	3	(:	(:	VERB
fumecheng-2259	152	4	02012	02012	NUM
fumecheng-2259	152	5	02	02	NUM
fumecheng-2259	152	6	2	2	NUM
fumecheng-2259	152	7	2	2	NUM
fumecheng-2259	152	8	02	02	NUM
fumecheng-2259	152	9	2	2	NUM
fumecheng-2259	152	10	22	22	NUM
fumecheng-2259	152	11	2	2	NUM
fumecheng-2259	152	12	2	2	NUM
fumecheng-2259	152	13	2	2	NUM
fumecheng-2259	152	14	2	2	NUM
fumecheng-2259	152	15	2	2	NUM
fumecheng-2259	152	16	02	02	NUM
fumecheng-2259	152	17	2	2	NUM
fumecheng-2259	152	18	0202	0202	NUM
fumecheng-2259	152	19	wwk	wwk	NOUN
fumecheng-2259	152	20	x	x	PUNCT
fumecheng-2259	152	21	w	w	ADP
fumecheng-2259	152	22	g	g	PROPN
fumecheng-2259	152	23	x	x	SYM
fumecheng-2259	152	24	w	w	NOUN
fumecheng-2259	152	25	ff	ff	NOUN
fumecheng-2259	152	26	x	x	PUNCT
fumecheng-2259	152	27	y	y	NOUN
fumecheng-2259	152	28	x	x	PROPN
fumecheng-2259	152	29	m	m	VERB
fumecheng-2259	152	30	t	t	PROPN
fumecheng-2259	152	31	w	w	PROPN
fumecheng-2259	152	32	mw	mw	PROPN
fumecheng-2259	152	33	tm	tm	PROPN
fumecheng-2259	152	34	xyx	xyx	PROPN
fumecheng-2259	152	35			PROPN
fumecheng-2259	152	36			PROPN
fumecheng-2259	152	37			PROPN
fumecheng-2259	152	38			ADJ
fumecheng-2259	152	39			PROPN
fumecheng-2259	152	40			PROPN
fumecheng-2259	152	41			PROPN
fumecheng-2259	152	42			PROPN
fumecheng-2259	152	43			PROPN
fumecheng-2259	152	44			ADJ
fumecheng-2259	152	45			PROPN
fumecheng-2259	152	46			PROPN
fumecheng-2259	153	1			PROPN
fumecheng-2259	153	2			ADJ
fumecheng-2259	153	3			PROPN
fumecheng-2259	153	4			NUM
fumecheng-2259	153	5	(	(	PUNCT
fumecheng-2259	153	6	20	20	NUM
fumecheng-2259	153	7	)	)	PUNCT
fumecheng-2259	153	8	the	the	DET
fumecheng-2259	153	9	boundary	boundary	ADJ
fumecheng-2259	153	10	and	and	CCONJ
fumecheng-2259	153	11	initial	initial	ADJ
fumecheng-2259	153	12	conditions	condition	NOUN
fumecheng-2259	153	13	of	of	ADP
fumecheng-2259	153	14	the	the	DET
fumecheng-2259	153	15	double	double	ADJ
fumecheng-2259	153	16	-	-	PUNCT
fumecheng-2259	153	17	microbeam	microbeam	NOUN
fumecheng-2259	153	18	system	system	NOUN
fumecheng-2259	153	19	are	be	AUX
fumecheng-2259	153	20	assumed	assume	VERB
fumecheng-2259	153	21	to	to	PART
fumecheng-2259	153	22	be	be	AUX
fumecheng-2259	153	23	simply	simply	ADV
fumecheng-2259	153	24	supported	support	VERB
fumecheng-2259	153	25	and	and	CCONJ
fumecheng-2259	153	26	considered	consider	VERB
fumecheng-2259	153	27	as	as	ADP
fumecheng-2259	153	28	2	2	NUM
fumecheng-2259	153	29	2	2	NUM
fumecheng-2259	153	30	0	0	NUM
fumecheng-2259	153	31	0	0	NUM
fumecheng-2259	153	32	0	0	NUM
fumecheng-2259	153	33	0	0	NUM
fumecheng-2259	153	34	2	2	NUM
fumecheng-2259	153	35	2	2	NUM
fumecheng-2259	153	36	(	(	PUNCT
fumecheng-2259	153	37	0	0	NUM
fumecheng-2259	153	38	,	,	PUNCT
fumecheng-2259	153	39	)	)	PUNCT
fumecheng-2259	153	40	(	(	PUNCT
fumecheng-2259	153	41	,	,	PUNCT
fumecheng-2259	153	42	)	)	PUNCT
fumecheng-2259	153	43	0	0	NUM
fumecheng-2259	153	44	,	,	PUNCT
fumecheng-2259	153	45	(	(	PUNCT
fumecheng-2259	153	46	0	0	NUM
fumecheng-2259	153	47	,	,	PUNCT
fumecheng-2259	153	48	)	)	PUNCT
fumecheng-2259	153	49	(	(	PUNCT
fumecheng-2259	153	50	,	,	PUNCT
fumecheng-2259	153	51	)	)	PUNCT
fumecheng-2259	153	52	0	0	NUM
fumecheng-2259	153	53	,	,	PUNCT
fumecheng-2259	153	54	(	(	PUNCT
fumecheng-2259	153	55	1,2),i	1,2),i	NUM
fumecheng-2259	153	56	i	i	PRON
fumecheng-2259	154	1	i	i	PRON
fumecheng-2259	155	1	i	i	INTJ
fumecheng-2259	155	2	w	w	VERB
fumecheng-2259	155	3	w	w	PROPN
fumecheng-2259	155	4	w	w	PROPN
fumecheng-2259	155	5	t	t	PROPN
fumecheng-2259	155	6	w	w	PROPN
fumecheng-2259	155	7	l	l	PROPN
fumecheng-2259	155	8	t	t	NOUN
fumecheng-2259	155	9	t	t	PROPN
fumecheng-2259	155	10	l	l	NOUN
fumecheng-2259	155	11	t	t	NOUN
fumecheng-2259	156	1	i	i	PRON
fumecheng-2259	156	2	x	x	X
fumecheng-2259	156	3	x	x	SYM
fumecheng-2259	156	4			ADJ
fumecheng-2259	156	5			PROPN
fumecheng-2259	156	6			PROPN
fumecheng-2259	157	1			NUM
fumecheng-2259	158	1			PRON
fumecheng-2259	158	2			PRON
fumecheng-2259	159	1			PROPN
fumecheng-2259	159	2			ADJ
fumecheng-2259	159	3			NOUN
fumecheng-2259	159	4	(	(	PUNCT
fumecheng-2259	159	5	21	21	NUM
fumecheng-2259	159	6	)	)	PUNCT
fumecheng-2259	159	7	0	0	NUM
fumecheng-2259	159	8	0	0	NUM
fumecheng-2259	159	9	(	(	PUNCT
fumecheng-2259	159	10	,	,	PUNCT
fumecheng-2259	159	11	0	0	NUM
fumecheng-2259	159	12	)	)	PUNCT
fumecheng-2259	159	13	(	(	PUNCT
fumecheng-2259	159	14	)	)	PUNCT
fumecheng-2259	159	15	,	,	PUNCT
fumecheng-2259	159	16	(	(	PUNCT
fumecheng-2259	159	17	,	,	PUNCT
fumecheng-2259	159	18	0	0	NUM
fumecheng-2259	159	19	)	)	PUNCT
fumecheng-2259	159	20	(	(	PUNCT
fumecheng-2259	159	21	)	)	PUNCT
fumecheng-2259	159	22	,	,	PUNCT
fumecheng-2259	159	23	(	(	PUNCT
fumecheng-2259	159	24	1,2).i	1,2).i	NUM
fumecheng-2259	159	25	i	i	NOUN
fumecheng-2259	159	26	i	i	PRON
fumecheng-2259	159	27	i	i	VERB
fumecheng-2259	159	28	w	w	VERB
fumecheng-2259	159	29	w	w	NOUN
fumecheng-2259	159	30	x	x	X
fumecheng-2259	159	31	f	f	NOUN
fumecheng-2259	159	32	x	x	PUNCT
fumecheng-2259	159	33	x	x	X
fumecheng-2259	159	34	g	g	NOUN
fumecheng-2259	159	35	x	x	X
fumecheng-2259	159	36	i	i	NOUN
fumecheng-2259	159	37	t	t	NOUN
fumecheng-2259	159	38			PROPN
fumecheng-2259	159	39			PROPN
fumecheng-2259	159	40			PROPN
fumecheng-2259	160	1			PROPN
fumecheng-2259	160	2			ADJ
fumecheng-2259	160	3	(	(	PUNCT
fumecheng-2259	160	4	22	22	NUM
fumecheng-2259	160	5	)	)	PUNCT
fumecheng-2259	160	6	3	3	NUM
fumecheng-2259	160	7	.	.	PUNCT
fumecheng-2259	160	8	analytical	analytical	ADJ
fumecheng-2259	160	9	solution	solution	NOUN
fumecheng-2259	160	10	procedure	procedure	NOUN
fumecheng-2259	160	11	for	for	ADP
fumecheng-2259	160	12	the	the	DET
fumecheng-2259	160	13	sake	sake	NOUN
fumecheng-2259	160	14	of	of	ADP
fumecheng-2259	160	15	simplicity	simplicity	NOUN
fumecheng-2259	160	16	,	,	PUNCT
fumecheng-2259	160	17	we	we	PRON
fumecheng-2259	160	18	assume	assume	VERB
fumecheng-2259	160	19	that	that	SCONJ
fumecheng-2259	160	20	the	the	DET
fumecheng-2259	160	21	two	two	NUM
fumecheng-2259	160	22	parallel	parallel	ADJ
fumecheng-2259	160	23	beams	beam	NOUN
fumecheng-2259	160	24	of	of	ADP
fumecheng-2259	160	25	the	the	DET
fumecheng-2259	160	26	elastically	elastically	ADV
fumecheng-2259	160	27	connected	connected	ADJ
fumecheng-2259	160	28	double	double	ADJ
fumecheng-2259	160	29	-	-	PUNCT
fumecheng-2259	160	30	beam	beam	NOUN
fumecheng-2259	160	31	system	system	NOUN
fumecheng-2259	160	32	have	have	VERB
fumecheng-2259	160	33	the	the	DET
fumecheng-2259	160	34	same	same	ADJ
fumecheng-2259	160	35	bending	bend	VERB
fumecheng-2259	160	36	stiffness	stiffness	NOUN
fumecheng-2259	160	37	ei1	ei1	NOUN
fumecheng-2259	160	38	=	=	NOUN
fumecheng-2259	160	39	ei2	ei2	NOUN
fumecheng-2259	160	40	=	=	NOUN
fumecheng-2259	160	41	ei	ei	ADJ
fumecheng-2259	160	42	and	and	CCONJ
fumecheng-2259	160	43	crosssectional	crosssectional	ADJ
fumecheng-2259	160	44	area	area	NOUN
fumecheng-2259	160	45	a1	a1	PROPN
fumecheng-2259	160	46	=	=	SYM
fumecheng-2259	160	47	a2	a2	NOUN
fumecheng-2259	160	48	=	=	NOUN
fumecheng-2259	160	49	a.	a.	NOUN
fumecheng-2259	160	50	both	both	DET
fumecheng-2259	160	51	microbeams	microbeam	NOUN
fumecheng-2259	160	52	have	have	VERB
fumecheng-2259	160	53	the	the	DET
fumecheng-2259	160	54	same	same	ADJ
fumecheng-2259	160	55	length	length	NOUN
fumecheng-2259	160	56	l	l	NOUN
fumecheng-2259	160	57	and	and	CCONJ
fumecheng-2259	160	58	same	same	ADJ
fumecheng-2259	160	59	material	material	NOUN
fumecheng-2259	160	60	characteristics	characteristic	NOUN
fumecheng-2259	160	61	ρ1	ρ1	NOUN
fumecheng-2259	160	62	=	=	SYM
fumecheng-2259	161	1	ρ2	ρ2	NOUN
fumecheng-2259	161	2	=	=	SYM
fumecheng-2259	161	3	ρ	ρ	NOUN
fumecheng-2259	161	4	.	.	PUNCT
fumecheng-2259	162	1	the	the	DET
fumecheng-2259	162	2	equations	equation	NOUN
fumecheng-2259	162	3	of	of	ADP
fumecheng-2259	162	4	motion	motion	NOUN
fumecheng-2259	162	5	can	can	AUX
fumecheng-2259	162	6	be	be	AUX
fumecheng-2259	162	7	expressed	express	VERB
fumecheng-2259	162	8	in	in	ADP
fumecheng-2259	162	9	the	the	DET
fumecheng-2259	162	10	terms	term	NOUN
fumecheng-2259	162	11	of	of	ADP
fumecheng-2259	162	12	displacements	displacement	NOUN
fumecheng-2259	162	13	w01	w01	NOUN
fumecheng-2259	162	14	and	and	CCONJ
fumecheng-2259	162	15	w02	w02	NOUN
fumecheng-2259	162	16	.	.	PUNCT
fumecheng-2259	163	1	by	by	ADP
fumecheng-2259	163	2	substituting	substitute	VERB
fumecheng-2259	163	3	eqs	eqs	PROPN
fumecheng-2259	163	4	.	.	PUNCT
fumecheng-2259	164	1	(	(	PUNCT
fumecheng-2259	164	2	14	14	NUM
fumecheng-2259	164	3	)	)	PUNCT
fumecheng-2259	164	4	into	into	ADP
fumecheng-2259	164	5	eqs	eqs	PROPN
fumecheng-2259	164	6	.	.	PUNCT
fumecheng-2259	165	1	(	(	PUNCT
fumecheng-2259	165	2	19	19	NUM
fumecheng-2259	165	3	)	)	PUNCT
fumecheng-2259	165	4	and	and	CCONJ
fumecheng-2259	165	5	(	(	PUNCT
fumecheng-2259	165	6	20	20	NUM
fumecheng-2259	165	7	)	)	PUNCT
fumecheng-2259	165	8	the	the	DET
fumecheng-2259	165	9	main	main	ADJ
fumecheng-2259	165	10	equations	equation	NOUN
fumecheng-2259	165	11	of	of	ADP
fumecheng-2259	165	12	ebdmbs	ebdmb	NOUN
fumecheng-2259	165	13	in	in	ADP
fumecheng-2259	165	14	terms	term	NOUN
fumecheng-2259	165	15	of	of	ADP
fumecheng-2259	165	16	the	the	DET
fumecheng-2259	165	17	displacements	displacement	NOUN
fumecheng-2259	165	18	are	be	AUX
fumecheng-2259	165	19	given	give	VERB
fumecheng-2259	165	20	below	below	ADP
fumecheng-2259	165	21	4	4	NUM
fumecheng-2259	165	22	2	2	NUM
fumecheng-2259	165	23	2	2	NUM
fumecheng-2259	165	24	2	2	NUM
fumecheng-2259	165	25	2	2	NUM
fumecheng-2259	165	26	01	01	NUM
fumecheng-2259	165	27	01	01	NUM
fumecheng-2259	165	28	01	01	NUM
fumecheng-2259	165	29	01	01	NUM
fumecheng-2259	165	30	0	0	NUM
fumecheng-2259	165	31	1	1	NUM
fumecheng-2259	165	32	01	01	NUM
fumecheng-2259	165	33	024	024	NUM
fumecheng-2259	165	34	2	2	NUM
fumecheng-2259	165	35	2	2	NUM
fumecheng-2259	165	36	2	2	NUM
fumecheng-2259	165	37	(	(	PUNCT
fumecheng-2259	165	38	)	)	PUNCT
fumecheng-2259	165	39	(	(	PUNCT
fumecheng-2259	165	40	)	)	PUNCT
fumecheng-2259	165	41	(	(	PUNCT
fumecheng-2259	165	42	)	)	PUNCT
fumecheng-2259	165	43	0,xx	0,xx	NUM
fumecheng-2259	165	44	xz	xz	PROPN
fumecheng-2259	165	45	m	m	PROPN
fumecheng-2259	165	46	t	t	PROPN
fumecheng-2259	165	47	w	w	PROPN
fumecheng-2259	165	48	w	w	PROPN
fumecheng-2259	165	49	w	w	PROPN
fumecheng-2259	165	50	w	w	PROPN
fumecheng-2259	165	51	d	d	PROPN
fumecheng-2259	165	52	a	a	DET
fumecheng-2259	165	53	l	l	NOUN
fumecheng-2259	165	54	m	m	NOUN
fumecheng-2259	165	55	f	f	NOUN
fumecheng-2259	165	56	f	f	PROPN
fumecheng-2259	165	57	g	g	PROPN
fumecheng-2259	165	58	k	k	PROPN
fumecheng-2259	165	59	w	w	PROPN
fumecheng-2259	165	60	w	w	PROPN
fumecheng-2259	165	61	x	x	SYM
fumecheng-2259	165	62	t	t	NOUN
fumecheng-2259	165	63	x	x	SYM
fumecheng-2259	165	64	x	x	SYM
fumecheng-2259	165	65			ADJ
fumecheng-2259	165	66			ADJ
fumecheng-2259	165	67			PROPN
fumecheng-2259	165	68			PROPN
fumecheng-2259	165	69			PROPN
fumecheng-2259	165	70			PROPN
fumecheng-2259	165	71			PUNCT
fumecheng-2259	165	72			PUNCT
fumecheng-2259	165	73			PROPN
fumecheng-2259	165	74			VERB
fumecheng-2259	165	75			PROPN
fumecheng-2259	165	76			NUM
fumecheng-2259	165	77			ADJ
fumecheng-2259	165	78			ADJ
fumecheng-2259	165	79			ADJ
fumecheng-2259	165	80			PROPN
fumecheng-2259	165	81	(	(	PUNCT
fumecheng-2259	165	82	23	23	NUM
fumecheng-2259	165	83	)	)	PUNCT
fumecheng-2259	165	84	thermal	thermal	ADJ
fumecheng-2259	165	85	effect	effect	NOUN
fumecheng-2259	165	86	on	on	ADP
fumecheng-2259	165	87	the	the	DET
fumecheng-2259	165	88	free	free	ADJ
fumecheng-2259	165	89	vibration	vibration	NOUN
fumecheng-2259	165	90	and	and	CCONJ
fumecheng-2259	165	91	buckling	buckling	NOUN
fumecheng-2259	165	92	of	of	ADP
fumecheng-2259	165	93	a	a	DET
fumecheng-2259	165	94	double	double	ADJ
fumecheng-2259	165	95	-	-	PUNCT
fumecheng-2259	165	96	microbeam	microbeam	NOUN
fumecheng-2259	165	97	system	system	NOUN
fumecheng-2259	165	98	51	51	NUM
fumecheng-2259	166	1	4	4	NUM
fumecheng-2259	166	2	2	2	NUM
fumecheng-2259	166	3	2	2	NUM
fumecheng-2259	166	4	2	2	NUM
fumecheng-2259	166	5	2	2	NUM
fumecheng-2259	166	6	02	02	NUM
fumecheng-2259	166	7	02	02	NUM
fumecheng-2259	166	8	02	02	NUM
fumecheng-2259	166	9	02	02	NUM
fumecheng-2259	166	10	0	0	NUM
fumecheng-2259	166	11	2	2	NUM
fumecheng-2259	166	12	01	01	NUM
fumecheng-2259	166	13	024	024	NUM
fumecheng-2259	166	14	2	2	NUM
fumecheng-2259	166	15	2	2	NUM
fumecheng-2259	166	16	2	2	NUM
fumecheng-2259	166	17	(	(	PUNCT
fumecheng-2259	166	18	)	)	PUNCT
fumecheng-2259	166	19	(	(	PUNCT
fumecheng-2259	166	20	)	)	PUNCT
fumecheng-2259	166	21	(	(	PUNCT
fumecheng-2259	166	22	)	)	PUNCT
fumecheng-2259	166	23	0.xx	0.xx	NUM
fumecheng-2259	166	24	xz	xz	PROPN
fumecheng-2259	166	25	m	m	PROPN
fumecheng-2259	166	26	t	t	PROPN
fumecheng-2259	166	27	w	w	PROPN
fumecheng-2259	166	28	w	w	PROPN
fumecheng-2259	166	29	w	w	PROPN
fumecheng-2259	166	30	w	w	PROPN
fumecheng-2259	166	31	d	d	PROPN
fumecheng-2259	166	32	a	a	DET
fumecheng-2259	166	33	l	l	NOUN
fumecheng-2259	166	34	m	m	NOUN
fumecheng-2259	166	35	f	f	NOUN
fumecheng-2259	167	1	f	f	PROPN
fumecheng-2259	167	2	g	g	PROPN
fumecheng-2259	168	1	k	k	PROPN
fumecheng-2259	168	2	w	w	PROPN
fumecheng-2259	168	3	w	w	PROPN
fumecheng-2259	168	4	x	x	SYM
fumecheng-2259	168	5	t	t	NOUN
fumecheng-2259	168	6	x	x	SYM
fumecheng-2259	168	7	x	x	SYM
fumecheng-2259	168	8			ADJ
fumecheng-2259	168	9			ADJ
fumecheng-2259	168	10			PROPN
fumecheng-2259	168	11			PROPN
fumecheng-2259	168	12			PROPN
fumecheng-2259	168	13			PROPN
fumecheng-2259	168	14			PUNCT
fumecheng-2259	168	15			PUNCT
fumecheng-2259	168	16			PROPN
fumecheng-2259	168	17			PROPN
fumecheng-2259	168	18			PROPN
fumecheng-2259	168	19			NUM
fumecheng-2259	168	20			ADJ
fumecheng-2259	168	21			ADJ
fumecheng-2259	168	22			ADJ
fumecheng-2259	168	23			PROPN
fumecheng-2259	168	24	(	(	PUNCT
fumecheng-2259	168	25	24	24	NUM
fumecheng-2259	168	26	)	)	PUNCT
fumecheng-2259	168	27	in	in	ADP
fumecheng-2259	168	28	order	order	NOUN
fumecheng-2259	168	29	to	to	PART
fumecheng-2259	168	30	simplify	simplify	VERB
fumecheng-2259	168	31	the	the	DET
fumecheng-2259	168	32	solving	solving	NOUN
fumecheng-2259	168	33	of	of	ADP
fumecheng-2259	168	34	eqs	eqs	PROPN
fumecheng-2259	168	35	.	.	PUNCT
fumecheng-2259	169	1	(	(	PUNCT
fumecheng-2259	169	2	23	23	NUM
fumecheng-2259	169	3	)	)	PUNCT
fumecheng-2259	169	4	and	and	CCONJ
fumecheng-2259	169	5	(	(	PUNCT
fumecheng-2259	169	6	24	24	NUM
fumecheng-2259	169	7	)	)	PUNCT
fumecheng-2259	169	8	,	,	PUNCT
fumecheng-2259	169	9	we	we	PRON
fumecheng-2259	169	10	will	will	AUX
fumecheng-2259	169	11	introduce	introduce	VERB
fumecheng-2259	169	12	the	the	DET
fumecheng-2259	169	13	following	following	ADJ
fumecheng-2259	169	14	dimensionless	dimensionless	NOUN
fumecheng-2259	169	15	parameters	parameter	NOUN
fumecheng-2259	169	16	:	:	PUNCT
fumecheng-2259	169	17	)	)	PUNCT
fumecheng-2259	170	1	.2,1	.2,1	PROPN
fumecheng-2259	170	2	(	(	PUNCT
fumecheng-2259	170	3	,	,	PUNCT
fumecheng-2259	170	4	,	,	PUNCT
fumecheng-2259	170	5	,	,	PUNCT
fumecheng-2259	170	6	,	,	PUNCT
fumecheng-2259	170	7	,	,	PUNCT
fumecheng-2259	170	8	,	,	PUNCT
fumecheng-2259	170	9	,	,	PUNCT
fumecheng-2259	170	10	,	,	PUNCT
fumecheng-2259	170	11	,	,	PUNCT
fumecheng-2259	170	12	,	,	PUNCT
fumecheng-2259	170	13	2	2	NUM
fumecheng-2259	170	14	0	0	NUM
fumecheng-2259	170	15	0	0	NUM
fumecheng-2259	170	16	0	0	NUM
fumecheng-2259	170	17	0	0	X
fumecheng-2259	170	18			PROPN
fumecheng-2259	170	19			PROPN
fumecheng-2259	170	20	i	i	PRON
fumecheng-2259	171	1	a	a	PRON
fumecheng-2259	171	2	a	a	DET
fumecheng-2259	171	3	a	a	DET
fumecheng-2259	171	4	a	a	PROPN
fumecheng-2259	171	5	d	d	X
fumecheng-2259	171	6	d	d	PROPN
fumecheng-2259	171	7	a	a	PROPN
fumecheng-2259	171	8	f	f	X
fumecheng-2259	171	9	f	f	PROPN
fumecheng-2259	172	1	a	a	PRON
fumecheng-2259	172	2	f	f	X
fumecheng-2259	172	3	f	f	PROPN
fumecheng-2259	173	1	a	a	DET
fumecheng-2259	173	2	g	g	X
fumecheng-2259	173	3	k	k	PROPN
fumecheng-2259	173	4	a	a	DET
fumecheng-2259	173	5	kl	kl	INTJ
fumecheng-2259	174	1	k	k	PROPN
fumecheng-2259	174	2	m	m	VERB
fumecheng-2259	174	3	a	a	DET
fumecheng-2259	174	4	l	l	NOUN
fumecheng-2259	174	5	t	t	NOUN
fumecheng-2259	174	6	l	l	NOUN
fumecheng-2259	174	7	l	l	X
fumecheng-2259	174	8	l	l	X
fumecheng-2259	174	9	l	l	NOUN
fumecheng-2259	174	10	x	x	PUNCT
fumecheng-2259	174	11	l	l	NOUN
fumecheng-2259	174	12	w	w	PROPN
fumecheng-2259	174	13	w	w	PROPN
fumecheng-2259	174	14	xx	xx	NUM
fumecheng-2259	175	1	xz	xz	PROPN
fumecheng-2259	175	2	xz	xz	PROPN
fumecheng-2259	176	1	xx	xx	NUM
fumecheng-2259	176	2	xx	xx	NUM
fumecheng-2259	177	1	xx	xx	NUM
fumecheng-2259	177	2	xx	xx	NUM
fumecheng-2259	177	3	mi	mi	PROPN
fumecheng-2259	177	4	mi	mi	PROPN
fumecheng-2259	178	1	xx	xx	NUM
fumecheng-2259	178	2	t	t	PROPN
fumecheng-2259	178	3	t	t	NOUN
fumecheng-2259	179	1	xx	xx	NUM
fumecheng-2259	180	1	p	p	NOUN
fumecheng-2259	180	2	xx	xx	NUM
fumecheng-2259	180	3	w	w	PROPN
fumecheng-2259	180	4	xxi	xxi	PROPN
fumecheng-2259	181	1	i	i	PROPN
fumecheng-2259	181	2			PROPN
fumecheng-2259	181	3	(	(	PUNCT
fumecheng-2259	181	4	25	25	NUM
fumecheng-2259	181	5	)	)	PUNCT
fumecheng-2259	181	6	assuming	assume	VERB
fumecheng-2259	181	7	time	time	NOUN
fumecheng-2259	181	8	harmonic	harmonic	ADJ
fumecheng-2259	181	9	motion	motion	NOUN
fumecheng-2259	181	10	and	and	CCONJ
fumecheng-2259	181	11	using	use	VERB
fumecheng-2259	181	12	separation	separation	NOUN
fumecheng-2259	181	13	of	of	ADP
fumecheng-2259	181	14	variables	variable	NOUN
fumecheng-2259	181	15	,	,	PUNCT
fumecheng-2259	181	16	the	the	DET
fumecheng-2259	181	17	solutions	solution	NOUN
fumecheng-2259	181	18	of	of	ADP
fumecheng-2259	181	19	eqs	eqs	PROPN
fumecheng-2259	181	20	.	.	PUNCT
fumecheng-2259	182	1	(	(	PUNCT
fumecheng-2259	182	2	23	23	NUM
fumecheng-2259	182	3	)	)	PUNCT
fumecheng-2259	182	4	and	and	CCONJ
fumecheng-2259	182	5	(	(	PUNCT
fumecheng-2259	182	6	24	24	NUM
fumecheng-2259	182	7	)	)	PUNCT
fumecheng-2259	182	8	with	with	ADP
fumecheng-2259	182	9	the	the	DET
fumecheng-2259	182	10	main	main	ADJ
fumecheng-2259	182	11	boundary	boundary	ADJ
fumecheng-2259	182	12	conditions	condition	NOUN
fumecheng-2259	182	13	(	(	PUNCT
fumecheng-2259	182	14	21	21	NUM
fumecheng-2259	182	15	)	)	PUNCT
fumecheng-2259	182	16	can	can	AUX
fumecheng-2259	182	17	be	be	AUX
fumecheng-2259	182	18	written	write	VERB
fumecheng-2259	182	19	in	in	ADP
fumecheng-2259	182	20	the	the	DET
fumecheng-2259	182	21	form	form	NOUN
fumecheng-2259	182	22	0	0	NUM
fumecheng-2259	182	23	1	1	NUM
fumecheng-2259	182	24	(	(	PUNCT
fumecheng-2259	182	25	,	,	PUNCT
fumecheng-2259	182	26	)	)	PUNCT
fumecheng-2259	182	27	(	(	PUNCT
fumecheng-2259	182	28	)	)	PUNCT
fumecheng-2259	182	29	(	(	PUNCT
fumecheng-2259	182	30	)	)	PUNCT
fumecheng-2259	182	31	,	,	PUNCT
fumecheng-2259	182	32	(	(	PUNCT
fumecheng-2259	182	33	)	)	PUNCT
fumecheng-2259	182	34	sin	sin	NOUN
fumecheng-2259	182	35	(	(	PUNCT
fumecheng-2259	182	36	)	)	PUNCT
fumecheng-2259	182	37	,	,	PUNCT
fumecheng-2259	182	38	,	,	PUNCT
fumecheng-2259	182	39	(	(	PUNCT
fumecheng-2259	182	40	1,2),i	1,2),i	NUM
fumecheng-2259	182	41	n	n	NOUN
fumecheng-2259	182	42	in	in	ADP
fumecheng-2259	182	43	n	n	CCONJ
fumecheng-2259	182	44	n	n	CCONJ
fumecheng-2259	182	45	n	n	CCONJ
fumecheng-2259	182	46	n	n	NOUN
fumecheng-2259	182	47	w	w	NOUN
fumecheng-2259	182	48	x	x	X
fumecheng-2259	182	49	s	s	NOUN
fumecheng-2259	182	50	x	x	X
fumecheng-2259	182	51	k	k	PROPN
fumecheng-2259	182	52	k	k	PROPN
fumecheng-2259	182	53	n	n	CCONJ
fumecheng-2259	182	54	i	i	NOUN
fumecheng-2259	182	55			NOUN
fumecheng-2259	182	56			NOUN
fumecheng-2259	182	57			NOUN
fumecheng-2259	182	58			NOUN
fumecheng-2259	182	59			X
fumecheng-2259	182	60			ADJ
fumecheng-2259	182	61			NOUN
fumecheng-2259	182	62			NOUN
fumecheng-2259	183	1			NUM
fumecheng-2259	184	1			NUM
fumecheng-2259	184	2			NOUN
fumecheng-2259	184	3			PROPN
fumecheng-2259	184	4	(	(	PUNCT
fumecheng-2259	184	5	26	26	NUM
fumecheng-2259	184	6	)	)	PUNCT
fumecheng-2259	184	7	where	where	SCONJ
fumecheng-2259	184	8	sin(τ	sin(τ	X
fumecheng-2259	184	9	)	)	PUNCT
fumecheng-2259	184	10	is	be	AUX
fumecheng-2259	184	11	the	the	DET
fumecheng-2259	184	12	unknown	unknown	ADJ
fumecheng-2259	184	13	time	time	NOUN
fumecheng-2259	184	14	function	function	NOUN
fumecheng-2259	184	15	,	,	PUNCT
fumecheng-2259	184	16	and	and	CCONJ
fumecheng-2259	184	17	xn(ξ	xn(ξ	NUM
fumecheng-2259	184	18	)	)	PUNCT
fumecheng-2259	184	19	is	be	AUX
fumecheng-2259	184	20	the	the	DET
fumecheng-2259	184	21	known	know	VERB
fumecheng-2259	184	22	mode	mode	NOUN
fumecheng-2259	184	23	shape	shape	NOUN
fumecheng-2259	184	24	function	function	NOUN
fumecheng-2259	184	25	for	for	ADP
fumecheng-2259	184	26	a	a	DET
fumecheng-2259	184	27	simply	simply	ADV
fumecheng-2259	184	28	supported	support	VERB
fumecheng-2259	184	29	single	single	ADJ
fumecheng-2259	184	30	microbeam	microbeam	NOUN
fumecheng-2259	184	31	.	.	PUNCT
fumecheng-2259	185	1	introducing	introduce	VERB
fumecheng-2259	185	2	the	the	DET
fumecheng-2259	185	3	general	general	ADJ
fumecheng-2259	185	4	solutions	solution	NOUN
fumecheng-2259	185	5	(	(	PUNCT
fumecheng-2259	185	6	26	26	NUM
fumecheng-2259	185	7	)	)	PUNCT
fumecheng-2259	185	8	into	into	ADP
fumecheng-2259	185	9	eqs	eqs	PROPN
fumecheng-2259	185	10	.	.	PUNCT
fumecheng-2259	186	1	(	(	PUNCT
fumecheng-2259	186	2	23	23	NUM
fumecheng-2259	186	3	)	)	PUNCT
fumecheng-2259	186	4	and	and	CCONJ
fumecheng-2259	186	5	(	(	PUNCT
fumecheng-2259	186	6	24	24	NUM
fumecheng-2259	186	7	)	)	PUNCT
fumecheng-2259	186	8	we	we	PRON
fumecheng-2259	186	9	obtain	obtain	VERB
fumecheng-2259	186	10	the	the	DET
fumecheng-2259	186	11	following	follow	VERB
fumecheng-2259	186	12	equations	equation	NOUN
fumecheng-2259	186	13	2	2	NUM
fumecheng-2259	186	14	4	4	NUM
fumecheng-2259	186	15	2	2	NUM
fumecheng-2259	186	16	2	2	NUM
fumecheng-2259	186	17	1	1	NUM
fumecheng-2259	186	18	0	0	NUM
fumecheng-2259	186	19	1	1	NUM
fumecheng-2259	186	20	1	1	NUM
fumecheng-2259	186	21	2	2	NUM
fumecheng-2259	186	22	[	[	X
fumecheng-2259	186	23	(	(	PUNCT
fumecheng-2259	186	24	)	)	PUNCT
fumecheng-2259	186	25	(	(	PUNCT
fumecheng-2259	186	26	)	)	PUNCT
fumecheng-2259	186	27	]	]	PUNCT
fumecheng-2259	186	28	0	0	PUNCT
fumecheng-2259	186	29	,	,	PUNCT
fumecheng-2259	186	30	n	n	PROPN
fumecheng-2259	187	1	xx	xx	NUM
fumecheng-2259	187	2	xz	xz	PROPN
fumecheng-2259	187	3	n	n	INTJ
fumecheng-2259	187	4	m	m	PROPN
fumecheng-2259	187	5	t	t	NOUN
fumecheng-2259	187	6	n	n	CCONJ
fumecheng-2259	187	7	p	p	PROPN
fumecheng-2259	187	8	n	n	PROPN
fumecheng-2259	187	9	w	w	PROPN
fumecheng-2259	187	10	n	n	ADV
fumecheng-2259	187	11	w	w	NOUN
fumecheng-2259	187	12	ns	ns	PROPN
fumecheng-2259	187	13	d	d	PROPN
fumecheng-2259	187	14	a	a	DET
fumecheng-2259	187	15	l	l	NOUN
fumecheng-2259	188	1	k	k	NOUN
fumecheng-2259	188	2	f	f	PROPN
fumecheng-2259	189	1	f	f	PROPN
fumecheng-2259	190	1	k	k	PROPN
fumecheng-2259	190	2	k	k	PROPN
fumecheng-2259	191	1	k	k	PROPN
fumecheng-2259	192	1	k	k	PROPN
fumecheng-2259	192	2	s	s	PROPN
fumecheng-2259	192	3	k	k	PROPN
fumecheng-2259	192	4	s	s	PROPN
fumecheng-2259	192	5			PROPN
fumecheng-2259	192	6			PROPN
fumecheng-2259	192	7			VERB
fumecheng-2259	192	8			PUNCT
fumecheng-2259	192	9			PUNCT
fumecheng-2259	192	10			PROPN
fumecheng-2259	192	11			PROPN
fumecheng-2259	192	12	(	(	PUNCT
fumecheng-2259	192	13	27	27	NUM
fumecheng-2259	192	14	)	)	SYM
fumecheng-2259	192	15	2	2	NUM
fumecheng-2259	192	16	4	4	NUM
fumecheng-2259	192	17	2	2	NUM
fumecheng-2259	192	18	2	2	NUM
fumecheng-2259	192	19	2	2	NUM
fumecheng-2259	192	20	0	0	NUM
fumecheng-2259	192	21	2	2	NUM
fumecheng-2259	192	22	2	2	NUM
fumecheng-2259	192	23	1	1	NUM
fumecheng-2259	192	24	[	[	X
fumecheng-2259	192	25	(	(	PUNCT
fumecheng-2259	192	26	)	)	PUNCT
fumecheng-2259	192	27	(	(	PUNCT
fumecheng-2259	192	28	)	)	PUNCT
fumecheng-2259	192	29	]	]	PUNCT
fumecheng-2259	192	30	0	0	PUNCT
fumecheng-2259	192	31	,	,	PUNCT
fumecheng-2259	192	32	n	n	PROPN
fumecheng-2259	192	33	xx	xx	NUM
fumecheng-2259	192	34	xz	xz	PROPN
fumecheng-2259	192	35	n	n	INTJ
fumecheng-2259	192	36	m	m	PROPN
fumecheng-2259	192	37	t	t	NOUN
fumecheng-2259	193	1	n	n	CCONJ
fumecheng-2259	193	2	p	p	PROPN
fumecheng-2259	193	3	n	n	PROPN
fumecheng-2259	193	4	w	w	PROPN
fumecheng-2259	193	5	n	n	ADV
fumecheng-2259	193	6	w	w	NOUN
fumecheng-2259	193	7	ns	ns	PROPN
fumecheng-2259	193	8	d	d	PROPN
fumecheng-2259	193	9	a	a	DET
fumecheng-2259	193	10	l	l	NOUN
fumecheng-2259	193	11	k	k	NOUN
fumecheng-2259	194	1	f	f	PROPN
fumecheng-2259	194	2	f	f	PROPN
fumecheng-2259	195	1	k	k	PROPN
fumecheng-2259	195	2	k	k	PROPN
fumecheng-2259	196	1	k	k	PROPN
fumecheng-2259	197	1	k	k	PROPN
fumecheng-2259	197	2	s	s	PROPN
fumecheng-2259	197	3	k	k	PROPN
fumecheng-2259	197	4	s	s	PROPN
fumecheng-2259	197	5			PROPN
fumecheng-2259	197	6			PROPN
fumecheng-2259	197	7			VERB
fumecheng-2259	197	8			PUNCT
fumecheng-2259	197	9			PUNCT
fumecheng-2259	197	10			PROPN
fumecheng-2259	197	11			PROPN
fumecheng-2259	197	12	(	(	PUNCT
fumecheng-2259	197	13	28	28	NUM
fumecheng-2259	197	14	)	)	PUNCT
fumecheng-2259	197	15	the	the	DET
fumecheng-2259	197	16	solutions	solution	NOUN
fumecheng-2259	197	17	of	of	ADP
fumecheng-2259	197	18	eqs	eqs	PROPN
fumecheng-2259	197	19	.	.	PUNCT
fumecheng-2259	198	1	(	(	PUNCT
fumecheng-2259	198	2	27	27	NUM
fumecheng-2259	198	3	)	)	PUNCT
fumecheng-2259	198	4	and	and	CCONJ
fumecheng-2259	198	5	(	(	PUNCT
fumecheng-2259	198	6	28	28	NUM
fumecheng-2259	198	7	)	)	PUNCT
fumecheng-2259	198	8	are	be	AUX
fumecheng-2259	198	9	assumed	assume	VERB
fumecheng-2259	198	10	in	in	ADP
fumecheng-2259	198	11	the	the	DET
fumecheng-2259	198	12	following	follow	VERB
fumecheng-2259	198	13	forms	form	NOUN
fumecheng-2259	198	14	,	,	PUNCT
fumecheng-2259	198	15	1	1	NUM
fumecheng-2259	198	16	,	,	PUNCT
fumecheng-2259	198	17	,	,	PUNCT
fumecheng-2259	198	18	21	21	NUM
fumecheng-2259	198	19			X
fumecheng-2259	198	20	jedsecs	jedsecs	PROPN
fumecheng-2259	198	21	nn	nn	PROPN
fumecheng-2259	198	22	j	j	PROPN
fumecheng-2259	198	23	nn	nn	PROPN
fumecheng-2259	198	24	j	j	PROPN
fumecheng-2259	198	25	nn	nn	PROPN
fumecheng-2259	198	26			NOUN
fumecheng-2259	198	27	(	(	PUNCT
fumecheng-2259	198	28	29	29	NUM
fumecheng-2259	198	29	)	)	PUNCT
fumecheng-2259	198	30	where	where	SCONJ
fumecheng-2259	198	31	ωn	ωn	PRON
fumecheng-2259	198	32	marks	mark	VERB
fumecheng-2259	198	33	the	the	DET
fumecheng-2259	198	34	natural	natural	ADJ
fumecheng-2259	198	35	frequency	frequency	NOUN
fumecheng-2259	198	36	of	of	ADP
fumecheng-2259	198	37	the	the	DET
fumecheng-2259	198	38	double	double	ADJ
fumecheng-2259	198	39	-	-	PUNCT
fumecheng-2259	198	40	microbeam	microbeam	NOUN
fumecheng-2259	198	41	system	system	NOUN
fumecheng-2259	198	42	,	,	PUNCT
fumecheng-2259	198	43	and	and	CCONJ
fumecheng-2259	198	44	cn	cn	PROPN
fumecheng-2259	198	45	and	and	CCONJ
fumecheng-2259	198	46	dn	dn	PROPN
fumecheng-2259	198	47	present	present	VERB
fumecheng-2259	198	48	the	the	DET
fumecheng-2259	198	49	amplitude	amplitude	NOUN
fumecheng-2259	198	50	coefficients	coefficient	NOUN
fumecheng-2259	198	51	of	of	ADP
fumecheng-2259	198	52	the	the	DET
fumecheng-2259	198	53	two	two	NUM
fumecheng-2259	198	54	microbeams	microbeam	NOUN
fumecheng-2259	198	55	,	,	PUNCT
fumecheng-2259	198	56	respectively	respectively	ADV
fumecheng-2259	198	57	.	.	PUNCT
fumecheng-2259	199	1	by	by	ADP
fumecheng-2259	199	2	substituting	substitute	VERB
fumecheng-2259	199	3	eqs	eqs	PROPN
fumecheng-2259	199	4	.	.	PUNCT
fumecheng-2259	200	1	(	(	PUNCT
fumecheng-2259	200	2	29	29	NUM
fumecheng-2259	200	3	)	)	PUNCT
fumecheng-2259	200	4	into	into	ADP
fumecheng-2259	200	5	eqs	eqs	PROPN
fumecheng-2259	200	6	.	.	PUNCT
fumecheng-2259	201	1	(	(	PUNCT
fumecheng-2259	201	2	27	27	NUM
fumecheng-2259	201	3	)	)	PUNCT
fumecheng-2259	201	4	and	and	CCONJ
fumecheng-2259	201	5	(	(	PUNCT
fumecheng-2259	201	6	28	28	NUM
fumecheng-2259	201	7	)	)	PUNCT
fumecheng-2259	201	8	the	the	DET
fumecheng-2259	201	9	determinant	determinant	ADJ
fumecheng-2259	201	10	can	can	AUX
fumecheng-2259	201	11	be	be	AUX
fumecheng-2259	201	12	written	write	VERB
fumecheng-2259	201	13	from	from	ADP
fumecheng-2259	201	14	which	which	PRON
fumecheng-2259	201	15	the	the	DET
fumecheng-2259	201	16	nontrivial	nontrivial	ADJ
fumecheng-2259	201	17	solutions	solution	NOUN
fumecheng-2259	201	18	for	for	ADP
fumecheng-2259	201	19	constants	constant	NOUN
fumecheng-2259	201	20	cn	cn	PROPN
fumecheng-2259	201	21	and	and	CCONJ
fumecheng-2259	201	22	dn	dn	PROPN
fumecheng-2259	201	23	can	can	AUX
fumecheng-2259	201	24	be	be	AUX
fumecheng-2259	201	25	obtained	obtain	VERB
fumecheng-2259	201	26	only	only	ADV
fumecheng-2259	201	27	when	when	SCONJ
fumecheng-2259	201	28	this	this	DET
fumecheng-2259	201	29	determinant	determinant	NOUN
fumecheng-2259	201	30	of	of	ADP
fumecheng-2259	201	31	the	the	DET
fumecheng-2259	201	32	coefficients	coefficient	NOUN
fumecheng-2259	201	33	vanishes	vanish	VERB
fumecheng-2259	201	34	.	.	PUNCT
fumecheng-2259	202	1	this	this	PRON
fumecheng-2259	202	2	gives	give	VERB
fumecheng-2259	202	3	the	the	DET
fumecheng-2259	202	4	following	follow	VERB
fumecheng-2259	202	5	frequency	frequency	NOUN
fumecheng-2259	202	6	equations	equation	NOUN
fumecheng-2259	202	7	2	2	NUM
fumecheng-2259	202	8	4	4	NUM
fumecheng-2259	202	9	2	2	NUM
fumecheng-2259	202	10	2	2	NUM
fumecheng-2259	202	11	2	2	NUM
fumecheng-2259	202	12	0	0	NUM
fumecheng-2259	202	13	1	1	NUM
fumecheng-2259	202	14	2	2	NUM
fumecheng-2259	202	15	2	2	NUM
fumecheng-2259	202	16	4	4	NUM
fumecheng-2259	202	17	2	2	NUM
fumecheng-2259	202	18	2	2	NUM
fumecheng-2259	202	19	2	2	NUM
fumecheng-2259	202	20	4	4	NUM
fumecheng-2259	202	21	2	2	NUM
fumecheng-2259	202	22	2	2	NUM
fumecheng-2259	202	23	0	0	NUM
fumecheng-2259	202	24	1	1	NUM
fumecheng-2259	202	25	0	0	NUM
fumecheng-2259	202	26	2	2	NUM
fumecheng-2259	202	27	2	2	NUM
fumecheng-2259	202	28	[	[	X
fumecheng-2259	202	29	2	2	NUM
fumecheng-2259	202	30	(	(	PUNCT
fumecheng-2259	202	31	)	)	PUNCT
fumecheng-2259	202	32	(	(	PUNCT
fumecheng-2259	202	33	)	)	PUNCT
fumecheng-2259	202	34	(	(	PUNCT
fumecheng-2259	202	35	)	)	PUNCT
fumecheng-2259	202	36	2	2	NUM
fumecheng-2259	202	37	2	2	NUM
fumecheng-2259	202	38	]	]	PUNCT
fumecheng-2259	203	1	[	[	X
fumecheng-2259	203	2	(	(	PUNCT
fumecheng-2259	203	3	)	)	PUNCT
fumecheng-2259	203	4	(	(	PUNCT
fumecheng-2259	203	5	)	)	PUNCT
fumecheng-2259	203	6	]	]	PUNCT
fumecheng-2259	204	1	[	[	X
fumecheng-2259	204	2	(	(	PUNCT
fumecheng-2259	204	3	)	)	PUNCT
fumecheng-2259	204	4	(	(	PUNCT
fumecheng-2259	204	5	)	)	PUNCT
fumecheng-2259	204	6	]	]	PUNCT
fumecheng-2259	204	7	0	0	X
fumecheng-2259	204	8	.	.	PUNCT
fumecheng-2259	204	9	n	n	ADV
fumecheng-2259	205	1	xx	xx	NUM
fumecheng-2259	205	2	xz	xz	PROPN
fumecheng-2259	205	3	n	n	INTJ
fumecheng-2259	205	4	m	m	PROPN
fumecheng-2259	205	5	t	t	NOUN
fumecheng-2259	205	6	n	n	INTJ
fumecheng-2259	205	7	m	m	PROPN
fumecheng-2259	205	8	t	t	NOUN
fumecheng-2259	205	9	n	n	CCONJ
fumecheng-2259	205	10	p	p	PROPN
fumecheng-2259	205	11	n	n	PROPN
fumecheng-2259	205	12	w	w	PROPN
fumecheng-2259	205	13	n	n	PROPN
fumecheng-2259	205	14	xx	xx	NUM
fumecheng-2259	205	15	xz	xz	PROPN
fumecheng-2259	205	16	n	n	INTJ
fumecheng-2259	205	17	m	m	PROPN
fumecheng-2259	205	18	t	t	NOUN
fumecheng-2259	205	19	n	n	PROPN
fumecheng-2259	205	20	p	p	PROPN
fumecheng-2259	205	21	n	n	PROPN
fumecheng-2259	205	22	w	w	NOUN
fumecheng-2259	205	23	xx	xx	NUM
fumecheng-2259	205	24	xz	xz	PROPN
fumecheng-2259	205	25	n	n	PROPN
fumecheng-2259	205	26	m	m	PROPN
fumecheng-2259	205	27	t	t	NOUN
fumecheng-2259	205	28	n	n	PROPN
fumecheng-2259	205	29	p	p	PROPN
fumecheng-2259	205	30	n	n	PROPN
fumecheng-2259	205	31	w	w	PROPN
fumecheng-2259	205	32	w	w	PROPN
fumecheng-2259	206	1	d	d	PROPN
fumecheng-2259	206	2	a	a	PROPN
fumecheng-2259	206	3	l	l	NOUN
fumecheng-2259	207	1	k	k	NOUN
fumecheng-2259	207	2	f	f	PROPN
fumecheng-2259	208	1	f	f	PROPN
fumecheng-2259	209	1	k	k	PROPN
fumecheng-2259	209	2	f	f	PROPN
fumecheng-2259	210	1	f	f	PROPN
fumecheng-2259	211	1	k	k	PROPN
fumecheng-2259	211	2	k	k	PROPN
fumecheng-2259	212	1	k	k	PROPN
fumecheng-2259	212	2	k	k	PROPN
fumecheng-2259	213	1	d	d	X
fumecheng-2259	213	2	a	a	X
fumecheng-2259	213	3	l	l	NOUN
fumecheng-2259	214	1	k	k	NOUN
fumecheng-2259	214	2	f	f	PROPN
fumecheng-2259	215	1	f	f	PROPN
fumecheng-2259	216	1	k	k	PROPN
fumecheng-2259	216	2	k	k	PROPN
fumecheng-2259	217	1	k	k	PROPN
fumecheng-2259	217	2	k	k	PROPN
fumecheng-2259	218	1	d	d	X
fumecheng-2259	218	2	a	a	X
fumecheng-2259	218	3	l	l	NOUN
fumecheng-2259	219	1	k	k	NOUN
fumecheng-2259	219	2	f	f	PROPN
fumecheng-2259	220	1	f	f	PROPN
fumecheng-2259	220	2	k	k	PROPN
fumecheng-2259	220	3	k	k	PROPN
fumecheng-2259	220	4	k	k	PROPN
fumecheng-2259	220	5	k	k	PROPN
fumecheng-2259	220	6	k	k	PROPN
fumecheng-2259	220	7			PROPN
fumecheng-2259	220	8			PROPN
fumecheng-2259	220	9			PUNCT
fumecheng-2259	220	10			ADV
fumecheng-2259	220	11			PROPN
fumecheng-2259	220	12			VERB
fumecheng-2259	220	13			PROPN
fumecheng-2259	220	14			PUNCT
fumecheng-2259	220	15			PROPN
fumecheng-2259	220	16			PROPN
fumecheng-2259	220	17			PUNCT
fumecheng-2259	220	18			PUNCT
fumecheng-2259	220	19			PROPN
fumecheng-2259	220	20			PROPN
fumecheng-2259	220	21			PROPN
fumecheng-2259	220	22			PUNCT
fumecheng-2259	220	23			PUNCT
fumecheng-2259	220	24			PROPN
fumecheng-2259	220	25			VERB
fumecheng-2259	220	26			PUNCT
fumecheng-2259	220	27			PUNCT
fumecheng-2259	220	28			PROPN
fumecheng-2259	220	29			PROPN
fumecheng-2259	220	30	(	(	PUNCT
fumecheng-2259	220	31	30	30	NUM
fumecheng-2259	220	32	)	)	PUNCT
fumecheng-2259	220	33	finally	finally	ADV
fumecheng-2259	220	34	,	,	PUNCT
fumecheng-2259	220	35	when	when	SCONJ
fumecheng-2259	220	36	the	the	DET
fumecheng-2259	220	37	bi	bi	ADJ
fumecheng-2259	220	38	-	-	ADJ
fumecheng-2259	220	39	axial	axial	ADJ
fumecheng-2259	220	40	compression	compression	NOUN
fumecheng-2259	220	41	forces	force	NOUN
fumecheng-2259	220	42	due	due	ADP
fumecheng-2259	220	43	to	to	ADP
fumecheng-2259	220	44	the	the	DET
fumecheng-2259	220	45	mechanical	mechanical	ADJ
fumecheng-2259	220	46	loading	loading	NOUN
fumecheng-2259	220	47	1	1	NUM
fumecheng-2259	220	48	2	2	NUM
fumecheng-2259	220	49	m	m	NOUN
fumecheng-2259	220	50	mf	mf	NOUN
fumecheng-2259	220	51	f	f	NOUN
fumecheng-2259	220	52	=	=	SYM
fumecheng-2259	220	53	0	0	NUM
fumecheng-2259	220	54	are	be	AUX
fumecheng-2259	220	55	ignored	ignore	VERB
fumecheng-2259	220	56	,	,	PUNCT
fumecheng-2259	220	57	the	the	DET
fumecheng-2259	220	58	natural	natural	ADJ
fumecheng-2259	220	59	frequency	frequency	NOUN
fumecheng-2259	220	60	of	of	ADP
fumecheng-2259	220	61	the	the	DET
fumecheng-2259	220	62	system	system	NOUN
fumecheng-2259	220	63	is	be	AUX
fumecheng-2259	220	64	written	write	VERB
fumecheng-2259	220	65	by	by	ADP
fumecheng-2259	220	66	the	the	DET
fumecheng-2259	220	67	formula	formula	NOUN
fumecheng-2259	220	68	0	0	NUM
fumecheng-2259	220	69	2	2	NUM
fumecheng-2259	220	70	2	2	NUM
fumecheng-2259	220	71	4	4	NUM
fumecheng-2259	220	72	2	2	NUM
fumecheng-2259	220	73	2	2	NUM
fumecheng-2259	220	74	,	,	PUNCT
fumecheng-2259	220	75	0	0	NUM
fumecheng-2259	220	76	(	(	PUNCT
fumecheng-2259	220	77	)	)	PUNCT
fumecheng-2259	220	78	(	(	PUNCT
fumecheng-2259	220	79	)	)	PUNCT
fumecheng-2259	220	80	,	,	PUNCT
fumecheng-2259	220	81	ni	ni	PROPN
fumecheng-2259	220	82	ii	ii	PROPN
fumecheng-2259	221	1	xx	xx	NUM
fumecheng-2259	221	2	xz	xz	PROPN
fumecheng-2259	222	1	n	n	PROPN
fumecheng-2259	222	2	t	t	PROPN
fumecheng-2259	223	1	n	n	CCONJ
fumecheng-2259	223	2	p	p	PROPN
fumecheng-2259	223	3	n	n	PROPN
fumecheng-2259	223	4	w	w	NOUN
fumecheng-2259	223	5	wd	wd	PROPN
fumecheng-2259	223	6	a	a	DET
fumecheng-2259	223	7	l	l	NOUN
fumecheng-2259	224	1	k	k	NOUN
fumecheng-2259	224	2	f	f	PROPN
fumecheng-2259	225	1	k	k	PROPN
fumecheng-2259	225	2	k	k	PROPN
fumecheng-2259	226	1	k	k	PROPN
fumecheng-2259	226	2	k	k	PROPN
fumecheng-2259	226	3	k	k	PROPN
fumecheng-2259	227	1			PROPN
fumecheng-2259	227	2			ADV
fumecheng-2259	227	3			PROPN
fumecheng-2259	227	4			ADV
fumecheng-2259	227	5			X
fumecheng-2259	227	6	(	(	PUNCT
fumecheng-2259	227	7	31	31	NUM
fumecheng-2259	227	8	)	)	PUNCT
fumecheng-2259	227	9	where	where	SCONJ
fumecheng-2259	227	10	0	0	NUM
fumecheng-2259	227	11	ni	ni	PROPN
fumecheng-2259	227	12	is	be	AUX
fumecheng-2259	227	13	the	the	DET
fumecheng-2259	227	14	lower	low	ADJ
fumecheng-2259	227	15	natural	natural	ADJ
fumecheng-2259	227	16	frequency	frequency	NOUN
fumecheng-2259	227	17	and	and	CCONJ
fumecheng-2259	227	18	0	0	NUM
fumecheng-2259	227	19	nii	nii	ADV
fumecheng-2259	227	20	is	be	AUX
fumecheng-2259	227	21	the	the	DET
fumecheng-2259	227	22	higher	high	ADJ
fumecheng-2259	227	23	natural	natural	ADJ
fumecheng-2259	227	24	frequency	frequency	NOUN
fumecheng-2259	227	25	of	of	ADP
fumecheng-2259	227	26	the	the	DET
fumecheng-2259	227	27	ebdmbs	ebdmb	NOUN
fumecheng-2259	227	28	.	.	PUNCT
fumecheng-2259	228	1	when	when	SCONJ
fumecheng-2259	228	2	the	the	DET
fumecheng-2259	228	3	bi	bi	ADJ
fumecheng-2259	228	4	-	-	ADJ
fumecheng-2259	228	5	axial	axial	ADJ
fumecheng-2259	228	6	load	load	NOUN
fumecheng-2259	228	7	applied	apply	VERB
fumecheng-2259	228	8	on	on	ADP
fumecheng-2259	228	9	the	the	DET
fumecheng-2259	228	10	double	double	ADJ
fumecheng-2259	228	11	-	-	PUNCT
fumecheng-2259	228	12	beam	beam	NOUN
fumecheng-2259	228	13	system	system	NOUN
fumecheng-2259	228	14	reaches	reach	VERB
fumecheng-2259	228	15	a	a	DET
fumecheng-2259	228	16	certain	certain	ADJ
fumecheng-2259	228	17	critical	critical	ADJ
fumecheng-2259	228	18	52	52	NUM
fumecheng-2259	228	19	m.	m.	NOUN
fumecheng-2259	228	20	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	228	21	atanasov	atanasov	NOUN
fumecheng-2259	228	22	,	,	PUNCT
fumecheng-2259	228	23	d.	d.	PROPN
fumecheng-2259	228	24	karliţiš	karliţiš	PROPN
fumecheng-2259	228	25	,	,	PUNCT
fumecheng-2259	228	26	p.	p.	PROPN
fumecheng-2259	228	27	koziš	koziš	PROPN
fumecheng-2259	228	28	,	,	PUNCT
fumecheng-2259	228	29	g.	g.	PROPN
fumecheng-2259	228	30	janevski	janevski	PROPN
fumecheng-2259	228	31	value	value	NOUN
fumecheng-2259	228	32	,	,	PUNCT
fumecheng-2259	228	33	the	the	DET
fumecheng-2259	228	34	double	double	ADJ
fumecheng-2259	228	35	-	-	PUNCT
fumecheng-2259	228	36	beam	beam	NOUN
fumecheng-2259	228	37	system	system	NOUN
fumecheng-2259	228	38	becomes	become	VERB
fumecheng-2259	228	39	unstable	unstable	ADJ
fumecheng-2259	228	40	which	which	PRON
fumecheng-2259	228	41	means	mean	VERB
fumecheng-2259	228	42	that	that	SCONJ
fumecheng-2259	228	43	the	the	DET
fumecheng-2259	228	44	system	system	NOUN
fumecheng-2259	228	45	begins	begin	VERB
fumecheng-2259	228	46	to	to	PART
fumecheng-2259	228	47	buckle	buckle	VERB
fumecheng-2259	228	48	.	.	PUNCT
fumecheng-2259	229	1	introducing	introduce	VERB
fumecheng-2259	229	2	ωn=0	ωn=0	VERB
fumecheng-2259	229	3	into	into	ADP
fumecheng-2259	229	4	eq	eq	ADP
fumecheng-2259	229	5	.	.	PUNCT
fumecheng-2259	230	1	(	(	PUNCT
fumecheng-2259	230	2	30	30	NUM
fumecheng-2259	230	3	)	)	PUNCT
fumecheng-2259	230	4	,	,	PUNCT
fumecheng-2259	230	5	and	and	CCONJ
fumecheng-2259	230	6	substituting	substitute	VERB
fumecheng-2259	230	7	mechanical	mechanical	ADJ
fumecheng-2259	230	8	load	load	NOUN
fumecheng-2259	230	9	ratio	ratio	NOUN
fumecheng-2259	230	10	,	,	PUNCT
fumecheng-2259	230	11	12	12	NUM
fumecheng-2259	230	12	mm	mm	PROPN
fumecheng-2259	230	13	ff	ff	NOUN
fumecheng-2259	230	14	where	where	SCONJ
fumecheng-2259	230	15	ffm	ffm	NOUN
fumecheng-2259	230	16	1	1	ADV
fumecheng-2259	230	17	and	and	CCONJ
fumecheng-2259	230	18	,	,	PUNCT
fumecheng-2259	230	19	2	2	NUM
fumecheng-2259	230	20	ffm	ffm	NOUN
fumecheng-2259	230	21			NOUN
fumecheng-2259	230	22	we	we	PRON
fumecheng-2259	230	23	obtain	obtain	VERB
fumecheng-2259	230	24	the	the	DET
fumecheng-2259	230	25	equation	equation	NOUN
fumecheng-2259	230	26	for	for	ADP
fumecheng-2259	230	27	the	the	DET
fumecheng-2259	230	28	critical	critical	ADJ
fumecheng-2259	230	29	buckling	buckling	NOUN
fumecheng-2259	230	30	load	load	NOUN
fumecheng-2259	230	31	as	as	SCONJ
fumecheng-2259	230	32	follows	follow	VERB
fumecheng-2259	230	33	2	2	NUM
fumecheng-2259	230	34	4	4	NUM
fumecheng-2259	230	35	2	2	NUM
fumecheng-2259	230	36	2	2	NUM
fumecheng-2259	230	37	2	2	NUM
fumecheng-2259	230	38	2	2	NUM
fumecheng-2259	230	39	4	4	NUM
fumecheng-2259	230	40	0	0	NUM
fumecheng-2259	230	41	1	1	NUM
fumecheng-2259	230	42	14	14	NUM
fumecheng-2259	230	43	1	1	NUM
fumecheng-2259	230	44	{	{	PUNCT
fumecheng-2259	230	45	[	[	X
fumecheng-2259	230	46	(	(	PUNCT
fumecheng-2259	230	47	)	)	PUNCT
fumecheng-2259	230	48	]	]	X
fumecheng-2259	230	49	(	(	PUNCT
fumecheng-2259	230	50	1	1	X
fumecheng-2259	230	51	)	)	PUNCT
fumecheng-2259	230	52	4	4	NUM
fumecheng-2259	230	53	}	}	PUNCT
fumecheng-2259	230	54	,	,	PUNCT
fumecheng-2259	230	55	2	2	NUM
fumecheng-2259	230	56	cr	cr	NOUN
fumecheng-2259	230	57	xx	xx	NUM
fumecheng-2259	230	58	xz	xz	PROPN
fumecheng-2259	231	1	n	n	PROPN
fumecheng-2259	231	2	t	t	PROPN
fumecheng-2259	232	1	n	n	CCONJ
fumecheng-2259	232	2	p	p	PROPN
fumecheng-2259	232	3	n	n	PROPN
fumecheng-2259	232	4	w	w	PROPN
fumecheng-2259	232	5	n	n	CCONJ
fumecheng-2259	232	6	n	n	CCONJ
fumecheng-2259	232	7	n	n	NOUN
fumecheng-2259	232	8	f	f	NOUN
fumecheng-2259	232	9	d	d	NOUN
fumecheng-2259	232	10	a	a	PROPN
fumecheng-2259	232	11	l	l	NOUN
fumecheng-2259	233	1	k	k	NOUN
fumecheng-2259	233	2	f	f	PROPN
fumecheng-2259	234	1	k	k	PROPN
fumecheng-2259	234	2	k	k	PROPN
fumecheng-2259	235	1	k	k	PROPN
fumecheng-2259	235	2	k	k	PROPN
fumecheng-2259	236	1	k	k	PROPN
fumecheng-2259	236	2	b	b	PROPN
fumecheng-2259	236	3	k	k	PROPN
fumecheng-2259	236	4	c	c	PROPN
fumecheng-2259	236	5	k	k	PROPN
fumecheng-2259	236	6			PROPN
fumecheng-2259	236	7			PROPN
fumecheng-2259	236	8			PROPN
fumecheng-2259	236	9			PROPN
fumecheng-2259	236	10			ADV
fumecheng-2259	236	11			PROPN
fumecheng-2259	236	12			VERB
fumecheng-2259	236	13			PUNCT
fumecheng-2259	236	14			PUNCT
fumecheng-2259	236	15			PROPN
fumecheng-2259	236	16			PROPN
fumecheng-2259	236	17	(	(	PUNCT
fumecheng-2259	236	18	32	32	NUM
fumecheng-2259	236	19	)	)	SYM
fumecheng-2259	237	1	2	2	NUM
fumecheng-2259	237	2	4	4	NUM
fumecheng-2259	237	3	2	2	NUM
fumecheng-2259	237	4	2	2	NUM
fumecheng-2259	237	5	2	2	NUM
fumecheng-2259	237	6	1	1	NUM
fumecheng-2259	237	7	0	0	NUM
fumecheng-2259	237	8	[	[	X
fumecheng-2259	237	9	(	(	PUNCT
fumecheng-2259	237	10	)	)	PUNCT
fumecheng-2259	237	11	]	]	X
fumecheng-2259	237	12	(	(	PUNCT
fumecheng-2259	237	13	1	1	NUM
fumecheng-2259	237	14	)	)	PUNCT
fumecheng-2259	237	15	,	,	PUNCT
fumecheng-2259	238	1	xx	xx	NUM
fumecheng-2259	238	2	xz	xz	PROPN
fumecheng-2259	239	1	n	n	PROPN
fumecheng-2259	239	2	t	t	PROPN
fumecheng-2259	240	1	n	n	CCONJ
fumecheng-2259	240	2	p	p	PROPN
fumecheng-2259	240	3	n	n	PROPN
fumecheng-2259	240	4	w	w	PROPN
fumecheng-2259	240	5	nb	nb	PROPN
fumecheng-2259	241	1	d	d	PROPN
fumecheng-2259	241	2	a	a	DET
fumecheng-2259	241	3	l	l	NOUN
fumecheng-2259	242	1	k	k	NOUN
fumecheng-2259	242	2	f	f	PROPN
fumecheng-2259	242	3	k	k	PROPN
fumecheng-2259	242	4	k	k	PROPN
fumecheng-2259	242	5	k	k	PROPN
fumecheng-2259	242	6	k	k	PROPN
fumecheng-2259	242	7	k	k	PROPN
fumecheng-2259	242	8			PROPN
fumecheng-2259	242	9			PROPN
fumecheng-2259	242	10			ADV
fumecheng-2259	242	11			CCONJ
fumecheng-2259	242	12			X
fumecheng-2259	242	13	(	(	PUNCT
fumecheng-2259	242	14	33	33	NUM
fumecheng-2259	242	15	)	)	SYM
fumecheng-2259	242	16	2	2	NUM
fumecheng-2259	242	17	4	4	NUM
fumecheng-2259	242	18	2	2	NUM
fumecheng-2259	242	19	2	2	NUM
fumecheng-2259	242	20	2	2	NUM
fumecheng-2259	242	21	2	2	NUM
fumecheng-2259	242	22	1	1	NUM
fumecheng-2259	242	23	0	0	NUM
fumecheng-2259	242	24	[	[	X
fumecheng-2259	242	25	(	(	PUNCT
fumecheng-2259	242	26	)	)	PUNCT
fumecheng-2259	242	27	]	]	PUNCT
fumecheng-2259	242	28	.xx	.xx	PUNCT
fumecheng-2259	243	1	xz	xz	PROPN
fumecheng-2259	243	2	n	n	PROPN
fumecheng-2259	243	3	t	t	PROPN
fumecheng-2259	244	1	n	n	CCONJ
fumecheng-2259	244	2	p	p	PROPN
fumecheng-2259	244	3	n	n	PROPN
fumecheng-2259	244	4	w	w	PROPN
fumecheng-2259	244	5	wc	wc	PROPN
fumecheng-2259	244	6	d	d	PROPN
fumecheng-2259	244	7	a	a	PROPN
fumecheng-2259	244	8	l	l	NOUN
fumecheng-2259	244	9	k	k	NOUN
fumecheng-2259	245	1	f	f	PROPN
fumecheng-2259	245	2	k	k	PROPN
fumecheng-2259	245	3	k	k	PROPN
fumecheng-2259	245	4	k	k	PROPN
fumecheng-2259	245	5	k	k	PROPN
fumecheng-2259	245	6	k	k	PROPN
fumecheng-2259	245	7			PROPN
fumecheng-2259	245	8			PROPN
fumecheng-2259	245	9			ADV
fumecheng-2259	245	10			PUNCT
fumecheng-2259	245	11			X
fumecheng-2259	245	12	(	(	PUNCT
fumecheng-2259	245	13	34	34	NUM
fumecheng-2259	245	14	)	)	PUNCT
fumecheng-2259	245	15	based	base	VERB
fumecheng-2259	245	16	on	on	ADP
fumecheng-2259	245	17	equation	equation	NOUN
fumecheng-2259	245	18	(	(	PUNCT
fumecheng-2259	245	19	32	32	NUM
fumecheng-2259	245	20	)	)	PUNCT
fumecheng-2259	245	21	,	,	PUNCT
fumecheng-2259	245	22	the	the	DET
fumecheng-2259	245	23	critical	critical	ADJ
fumecheng-2259	245	24	buckling	buckling	NOUN
fumecheng-2259	245	25	temperature	temperature	NOUN
fumecheng-2259	245	26	of	of	ADP
fumecheng-2259	245	27	the	the	DET
fumecheng-2259	245	28	ebdmbs	ebdmb	NOUN
fumecheng-2259	245	29	for	for	ADP
fumecheng-2259	245	30	the	the	DET
fumecheng-2259	245	31	biaxial	biaxial	ADJ
fumecheng-2259	245	32	compression	compression	NOUN
fumecheng-2259	245	33	equal	equal	ADJ
fumecheng-2259	245	34	to	to	ADP
fumecheng-2259	245	35	zero	zero	NUM
fumecheng-2259	245	36	021	021	NUM
fumecheng-2259	245	37			NUM
fumecheng-2259	245	38	mm	mm	NUM
fumecheng-2259	245	39	ff	ff	NOUN
fumecheng-2259	245	40	is	be	AUX
fumecheng-2259	245	41	of	of	ADP
fumecheng-2259	245	42	the	the	DET
fumecheng-2259	245	43	form	form	NOUN
fumecheng-2259	245	44	2	2	NUM
fumecheng-2259	245	45	2	2	NUM
fumecheng-2259	245	46	0	0	NUM
fumecheng-2259	245	47	1	1	NUM
fumecheng-2259	245	48	(	(	PUNCT
fumecheng-2259	245	49	)	)	PUNCT
fumecheng-2259	246	1	[	[	X
fumecheng-2259	246	2	(	(	PUNCT
fumecheng-2259	246	3	)	)	PUNCT
fumecheng-2259	246	4	]	]	X
fumecheng-2259	246	5	.cr	.cr	PUNCT
fumecheng-2259	247	1	mcst	mcst	PROPN
fumecheng-2259	247	2	xx	xx	NUM
fumecheng-2259	247	3	xz	xz	PROPN
fumecheng-2259	248	1	n	n	CCONJ
fumecheng-2259	248	2	p	p	NOUN
fumecheng-2259	249	1	xx	xx	NUM
fumecheng-2259	249	2	t	t	PROPN
fumecheng-2259	250	1	d	d	NOUN
fumecheng-2259	250	2	a	a	DET
fumecheng-2259	250	3	l	l	NOUN
fumecheng-2259	251	1	k	k	NOUN
fumecheng-2259	251	2	k	k	X
fumecheng-2259	251	3	a	a	ADV
fumecheng-2259	251	4			PUNCT
fumecheng-2259	251	5			PROPN
fumecheng-2259	251	6			PROPN
fumecheng-2259	251	7			X
fumecheng-2259	251	8	(	(	PUNCT
fumecheng-2259	251	9	35	35	NUM
fumecheng-2259	251	10	)	)	PUNCT
fumecheng-2259	251	11	the	the	DET
fumecheng-2259	251	12	illustrated	illustrated	ADJ
fumecheng-2259	251	13	analytical	analytical	ADJ
fumecheng-2259	251	14	expressions	expression	NOUN
fumecheng-2259	251	15	for	for	ADP
fumecheng-2259	251	16	the	the	DET
fumecheng-2259	251	17	natural	natural	ADJ
fumecheng-2259	251	18	frequency	frequency	NOUN
fumecheng-2259	251	19	equation	equation	NOUN
fumecheng-2259	251	20	(	(	PUNCT
fumecheng-2259	251	21	31	31	NUM
fumecheng-2259	251	22	)	)	PUNCT
fumecheng-2259	251	23	,	,	PUNCT
fumecheng-2259	251	24	critical	critical	ADJ
fumecheng-2259	251	25	buckling	buckling	NOUN
fumecheng-2259	251	26	load	load	NOUN
fumecheng-2259	251	27	equation	equation	NOUN
fumecheng-2259	251	28	(	(	PUNCT
fumecheng-2259	251	29	32	32	NUM
fumecheng-2259	251	30	)	)	PUNCT
fumecheng-2259	251	31	and	and	CCONJ
fumecheng-2259	251	32	the	the	DET
fumecheng-2259	251	33	critical	critical	ADJ
fumecheng-2259	251	34	buckling	buckling	NOUN
fumecheng-2259	251	35	temperature	temperature	NOUN
fumecheng-2259	251	36	(	(	PUNCT
fumecheng-2259	251	37	35	35	NUM
fumecheng-2259	251	38	)	)	PUNCT
fumecheng-2259	251	39	are	be	AUX
fumecheng-2259	251	40	common	common	ADJ
fumecheng-2259	251	41	equations	equation	NOUN
fumecheng-2259	251	42	for	for	ADP
fumecheng-2259	251	43	the	the	DET
fumecheng-2259	251	44	ebdmbs	ebdmb	NOUN
fumecheng-2259	251	45	with	with	ADP
fumecheng-2259	251	46	thermal	thermal	ADJ
fumecheng-2259	251	47	influence	influence	NOUN
fumecheng-2259	251	48	.	.	PUNCT
fumecheng-2259	252	1	3.1	3.1	NUM
fumecheng-2259	252	2	.	.	X
fumecheng-2259	252	3	out	out	ADP
fumecheng-2259	252	4	-	-	PUNCT
fumecheng-2259	252	5	of	of	ADP
fumecheng-2259	252	6	-	-	PUNCT
fumecheng-2259	252	7	phase	phase	NOUN
fumecheng-2259	252	8	modes	mode	NOUN
fumecheng-2259	252	9	of	of	ADP
fumecheng-2259	252	10	vibration	vibration	NOUN
fumecheng-2259	252	11	and	and	CCONJ
fumecheng-2259	252	12	buckling	buckle	VERB
fumecheng-2259	252	13	state	state	NOUN
fumecheng-2259	252	14	a	a	DET
fumecheng-2259	252	15	detailed	detailed	ADJ
fumecheng-2259	252	16	analysis	analysis	NOUN
fumecheng-2259	252	17	for	for	ADP
fumecheng-2259	252	18	different	different	ADJ
fumecheng-2259	252	19	cases	case	NOUN
fumecheng-2259	252	20	of	of	ADP
fumecheng-2259	252	21	phase	phase	NOUN
fumecheng-2259	252	22	modes	mode	NOUN
fumecheng-2259	252	23	of	of	ADP
fumecheng-2259	252	24	vibration	vibration	NOUN
fumecheng-2259	252	25	and	and	CCONJ
fumecheng-2259	252	26	buckling	buckle	VERB
fumecheng-2259	252	27	state	state	NOUN
fumecheng-2259	252	28	is	be	AUX
fumecheng-2259	252	29	shown	show	VERB
fumecheng-2259	252	30	in	in	ADP
fumecheng-2259	252	31	the	the	DET
fumecheng-2259	252	32	paper	paper	NOUN
fumecheng-2259	252	33	of	of	ADP
fumecheng-2259	252	34	murmu	murmu	PROPN
fumecheng-2259	252	35	and	and	CCONJ
fumecheng-2259	252	36	adhikari	adhikari	PROPN
fumecheng-2259	252	37	[	[	X
fumecheng-2259	252	38	33	33	NUM
fumecheng-2259	252	39	,	,	PUNCT
fumecheng-2259	252	40	34	34	NUM
fumecheng-2259	252	41	,	,	PUNCT
fumecheng-2259	252	42	35	35	NUM
fumecheng-2259	252	43	]	]	PUNCT
fumecheng-2259	252	44	.	.	PUNCT
fumecheng-2259	253	1	fig	fig	NOUN
fumecheng-2259	253	2	.	.	PUNCT
fumecheng-2259	254	1	2	2	NUM
fumecheng-2259	254	2	out	out	ADV
fumecheng-2259	254	3	-	-	PUNCT
fumecheng-2259	254	4	of	of	ADP
fumecheng-2259	254	5	-	-	PUNCT
fumecheng-2259	254	6	phase	phase	NOUN
fumecheng-2259	254	7	vibration	vibration	NOUN
fumecheng-2259	254	8	of	of	ADP
fumecheng-2259	254	9	the	the	DET
fumecheng-2259	254	10	double	double	ADJ
fumecheng-2259	254	11	-	-	PUNCT
fumecheng-2259	254	12	microbeam	microbeam	NOUN
fumecheng-2259	254	13	system	system	NOUN
fumecheng-2259	254	14	for	for	ADP
fumecheng-2259	254	15	the	the	DET
fumecheng-2259	254	16	ebdmbs	ebdmb	NOUN
fumecheng-2259	254	17	we	we	PRON
fumecheng-2259	254	18	can	can	AUX
fumecheng-2259	254	19	use	use	VERB
fumecheng-2259	254	20	a	a	DET
fumecheng-2259	254	21	change	change	NOUN
fumecheng-2259	254	22	in	in	ADP
fumecheng-2259	254	23	variables	variable	NOUN
fumecheng-2259	254	24	by	by	ADP
fumecheng-2259	254	25	considering	consider	VERB
fumecheng-2259	254	26	w0i(x	w0i(x	PROPN
fumecheng-2259	254	27	,	,	PUNCT
fumecheng-2259	254	28	t	t	PROPN
fumecheng-2259	254	29	)	)	PUNCT
fumecheng-2259	254	30	as	as	ADP
fumecheng-2259	254	31	the	the	DET
fumecheng-2259	254	32	relative	relative	ADJ
fumecheng-2259	254	33	displacement	displacement	NOUN
fumecheng-2259	254	34	of	of	ADP
fumecheng-2259	254	35	the	the	DET
fumecheng-2259	254	36	microbeam-1	microbeam-1	NOUN
fumecheng-2259	254	37	with	with	ADP
fumecheng-2259	254	38	respect	respect	NOUN
fumecheng-2259	254	39	to	to	ADP
fumecheng-2259	254	40	the	the	DET
fumecheng-2259	254	41	microbeam-2	microbeam-2	NUM
fumecheng-2259	254	42	,	,	PUNCT
fumecheng-2259	254	43	02010	02010	NUM
fumecheng-2259	254	44	www	www	PROPN
fumecheng-2259	254	45			PROPN
fumecheng-2259	254	46	(	(	PUNCT
fumecheng-2259	254	47	36	36	NUM
fumecheng-2259	254	48	)	)	PUNCT
fumecheng-2259	254	49	then	then	ADV
fumecheng-2259	254	50	.02001	.02001	PROPN
fumecheng-2259	254	51	www	www	PROPN
fumecheng-2259	254	52			PROPN
fumecheng-2259	254	53	(	(	PUNCT
fumecheng-2259	254	54	37	37	NUM
fumecheng-2259	254	55	)	)	PUNCT
fumecheng-2259	254	56	subtracting	subtract	VERB
fumecheng-2259	254	57	eq	eq	ADP
fumecheng-2259	254	58	.	.	PUNCT
fumecheng-2259	255	1	(	(	PUNCT
fumecheng-2259	255	2	23	23	NUM
fumecheng-2259	255	3	)	)	PUNCT
fumecheng-2259	255	4	from	from	ADP
fumecheng-2259	255	5	eq	eq	ADP
fumecheng-2259	255	6	.	.	PUNCT
fumecheng-2259	256	1	(	(	PUNCT
fumecheng-2259	256	2	22	22	NUM
fumecheng-2259	256	3	)	)	PUNCT
fumecheng-2259	256	4	and	and	CCONJ
fumecheng-2259	256	5	using	use	VERB
fumecheng-2259	256	6	eqs	eqs	PROPN
fumecheng-2259	256	7	.	.	PUNCT
fumecheng-2259	257	1	(	(	PUNCT
fumecheng-2259	257	2	36	36	NUM
fumecheng-2259	257	3	)	)	PUNCT
fumecheng-2259	257	4	and	and	CCONJ
fumecheng-2259	257	5	(	(	PUNCT
fumecheng-2259	257	6	37	37	NUM
fumecheng-2259	257	7	)	)	PUNCT
fumecheng-2259	257	8	we	we	PRON
fumecheng-2259	257	9	obtain	obtain	VERB
fumecheng-2259	257	10	4	4	NUM
fumecheng-2259	257	11	2	2	NUM
fumecheng-2259	257	12	2	2	NUM
fumecheng-2259	257	13	2	2	NUM
fumecheng-2259	257	14	2	2	NUM
fumecheng-2259	257	15	0	0	NUM
fumecheng-2259	257	16	0	0	NUM
fumecheng-2259	257	17	0	0	NUM
fumecheng-2259	257	18	0	0	NUM
fumecheng-2259	257	19	0	0	NUM
fumecheng-2259	257	20	04	04	NUM
fumecheng-2259	257	21	2	2	NUM
fumecheng-2259	257	22	2	2	NUM
fumecheng-2259	257	23	2	2	NUM
fumecheng-2259	257	24	(	(	PUNCT
fumecheng-2259	257	25	)	)	PUNCT
fumecheng-2259	257	26	(	(	PUNCT
fumecheng-2259	257	27	)	)	PUNCT
fumecheng-2259	257	28	2	2	NUM
fumecheng-2259	257	29	0,xx	0,xx	NUM
fumecheng-2259	257	30	xz	xz	PROPN
fumecheng-2259	257	31	m	m	PROPN
fumecheng-2259	257	32	t	t	PROPN
fumecheng-2259	257	33	w	w	PROPN
fumecheng-2259	257	34	w	w	PROPN
fumecheng-2259	257	35	w	w	PROPN
fumecheng-2259	257	36	w	w	PROPN
fumecheng-2259	257	37	d	d	PROPN
fumecheng-2259	257	38	a	a	DET
fumecheng-2259	257	39	l	l	NOUN
fumecheng-2259	257	40	m	m	NOUN
fumecheng-2259	257	41	f	f	NOUN
fumecheng-2259	258	1	f	f	PROPN
fumecheng-2259	258	2	g	g	PROPN
fumecheng-2259	259	1	kw	kw	INTJ
fumecheng-2259	259	2	x	x	PROPN
fumecheng-2259	259	3	t	t	NOUN
fumecheng-2259	259	4	x	x	X
fumecheng-2259	259	5	x	x	SYM
fumecheng-2259	259	6			ADJ
fumecheng-2259	259	7			ADJ
fumecheng-2259	259	8			PROPN
fumecheng-2259	259	9			PROPN
fumecheng-2259	259	10			PROPN
fumecheng-2259	259	11			PROPN
fumecheng-2259	259	12			PUNCT
fumecheng-2259	259	13			PUNCT
fumecheng-2259	259	14			PROPN
fumecheng-2259	259	15			VERB
fumecheng-2259	260	1			PROPN
fumecheng-2259	260	2			ADJ
fumecheng-2259	260	3			ADJ
fumecheng-2259	260	4			ADJ
fumecheng-2259	260	5			PROPN
fumecheng-2259	260	6	(	(	PUNCT
fumecheng-2259	260	7	38	38	NUM
fumecheng-2259	260	8	)	)	PUNCT
fumecheng-2259	260	9	thermal	thermal	ADJ
fumecheng-2259	260	10	effect	effect	NOUN
fumecheng-2259	260	11	on	on	ADP
fumecheng-2259	260	12	the	the	DET
fumecheng-2259	260	13	free	free	ADJ
fumecheng-2259	260	14	vibration	vibration	NOUN
fumecheng-2259	260	15	and	and	CCONJ
fumecheng-2259	260	16	buckling	buckling	NOUN
fumecheng-2259	260	17	of	of	ADP
fumecheng-2259	260	18	a	a	DET
fumecheng-2259	260	19	double	double	ADJ
fumecheng-2259	260	20	-	-	PUNCT
fumecheng-2259	260	21	microbeam	microbeam	NOUN
fumecheng-2259	260	22	system	system	NOUN
fumecheng-2259	260	23	53	53	NUM
fumecheng-2259	260	24	4	4	NUM
fumecheng-2259	260	25	2	2	NUM
fumecheng-2259	260	26	2	2	NUM
fumecheng-2259	260	27	2	2	NUM
fumecheng-2259	260	28	2	2	NUM
fumecheng-2259	260	29	02	02	NUM
fumecheng-2259	260	30	02	02	NUM
fumecheng-2259	260	31	02	02	NUM
fumecheng-2259	260	32	02	02	NUM
fumecheng-2259	260	33	0	0	NUM
fumecheng-2259	260	34	04	04	NUM
fumecheng-2259	260	35	2	2	NUM
fumecheng-2259	260	36	2	2	NUM
fumecheng-2259	260	37	2	2	NUM
fumecheng-2259	260	38	(	(	PUNCT
fumecheng-2259	260	39	)	)	PUNCT
fumecheng-2259	260	40	(	(	PUNCT
fumecheng-2259	260	41	)	)	PUNCT
fumecheng-2259	260	42	.xx	.xx	PUNCT
fumecheng-2259	261	1	xz	xz	PROPN
fumecheng-2259	261	2	m	m	PROPN
fumecheng-2259	261	3	t	t	PROPN
fumecheng-2259	261	4	w	w	PROPN
fumecheng-2259	261	5	w	w	PROPN
fumecheng-2259	261	6	w	w	PROPN
fumecheng-2259	261	7	w	w	PROPN
fumecheng-2259	261	8	d	d	PROPN
fumecheng-2259	261	9	a	a	DET
fumecheng-2259	261	10	l	l	NOUN
fumecheng-2259	261	11	m	m	NOUN
fumecheng-2259	261	12	f	f	NOUN
fumecheng-2259	261	13	f	f	PROPN
fumecheng-2259	261	14	g	g	PROPN
fumecheng-2259	262	1	kw	kw	INTJ
fumecheng-2259	262	2	x	x	PROPN
fumecheng-2259	262	3	t	t	NOUN
fumecheng-2259	262	4	x	x	X
fumecheng-2259	262	5	x	x	SYM
fumecheng-2259	262	6			ADJ
fumecheng-2259	262	7			ADJ
fumecheng-2259	262	8			PROPN
fumecheng-2259	262	9			PROPN
fumecheng-2259	262	10			PROPN
fumecheng-2259	262	11			PROPN
fumecheng-2259	262	12			PUNCT
fumecheng-2259	262	13			VERB
fumecheng-2259	263	1			PROPN
fumecheng-2259	263	2			NUM
fumecheng-2259	263	3			ADJ
fumecheng-2259	263	4			ADJ
fumecheng-2259	263	5			ADJ
fumecheng-2259	263	6			PROPN
fumecheng-2259	263	7	(	(	PUNCT
fumecheng-2259	263	8	39	39	NUM
fumecheng-2259	263	9	)	)	PUNCT
fumecheng-2259	263	10	in	in	ADP
fumecheng-2259	263	11	above	above	ADP
fumecheng-2259	263	12	eqs	eqs	PROPN
fumecheng-2259	263	13	.	.	PUNCT
fumecheng-2259	264	1	(	(	PUNCT
fumecheng-2259	264	2	38	38	NUM
fumecheng-2259	264	3	)	)	PUNCT
fumecheng-2259	264	4	and	and	CCONJ
fumecheng-2259	264	5	(	(	PUNCT
fumecheng-2259	264	6	39	39	NUM
fumecheng-2259	264	7	)	)	PUNCT
fumecheng-2259	264	8	for	for	ADP
fumecheng-2259	264	9	sake	sake	NOUN
fumecheng-2259	264	10	of	of	ADP
fumecheng-2259	264	11	simplicity	simplicity	NOUN
fumecheng-2259	264	12	we	we	PRON
fumecheng-2259	264	13	assume	assume	VERB
fumecheng-2259	264	14	that	that	SCONJ
fumecheng-2259	264	15	fm1	fm1	PROPN
fumecheng-2259	264	16	=	=	PROPN
fumecheng-2259	264	17	fm2	fm2	PROPN
fumecheng-2259	264	18	=	=	PROPN
fumecheng-2259	264	19	fm	fm	PROPN
fumecheng-2259	264	20	.	.	PROPN
fumecheng-2259	265	1	if	if	SCONJ
fumecheng-2259	265	2	material	material	NOUN
fumecheng-2259	265	3	length	length	NOUN
fumecheng-2259	265	4	scale	scale	NOUN
fumecheng-2259	265	5	parameter	parameter	NOUN
fumecheng-2259	265	6	l	l	PROPN
fumecheng-2259	265	7	is	be	AUX
fumecheng-2259	265	8	ignored	ignore	VERB
fumecheng-2259	265	9	,	,	PUNCT
fumecheng-2259	265	10	the	the	DET
fumecheng-2259	265	11	above	above	ADJ
fumecheng-2259	265	12	equations	equation	NOUN
fumecheng-2259	265	13	become	become	VERB
fumecheng-2259	265	14	those	those	PRON
fumecheng-2259	265	15	of	of	ADP
fumecheng-2259	265	16	the	the	DET
fumecheng-2259	265	17	classical	classical	ADJ
fumecheng-2259	265	18	euler	euler	NOUN
fumecheng-2259	265	19	–	–	PUNCT
fumecheng-2259	265	20	bernoulli	bernoulli	PROPN
fumecheng-2259	265	21	beam	beam	NOUN
fumecheng-2259	265	22	theory	theory	NOUN
fumecheng-2259	265	23	.	.	PUNCT
fumecheng-2259	266	1	for	for	ADP
fumecheng-2259	266	2	the	the	DET
fumecheng-2259	266	3	present	present	ADJ
fumecheng-2259	266	4	out	out	ADJ
fumecheng-2259	266	5	-	-	PUNCT
fumecheng-2259	266	6	of	of	ADP
fumecheng-2259	266	7	-	-	PUNCT
fumecheng-2259	266	8	phase	phase	NOUN
fumecheng-2259	266	9	analysis	analysis	NOUN
fumecheng-2259	266	10	of	of	ADP
fumecheng-2259	266	11	the	the	DET
fumecheng-2259	266	12	ebdmbs	ebdmb	NOUN
fumecheng-2259	266	13	,	,	PUNCT
fumecheng-2259	266	14	we	we	PRON
fumecheng-2259	266	15	see	see	VERB
fumecheng-2259	266	16	simplicity	simplicity	NOUN
fumecheng-2259	266	17	in	in	ADP
fumecheng-2259	266	18	using	use	VERB
fumecheng-2259	266	19	eq	eq	ADP
fumecheng-2259	266	20	.	.	PUNCT
fumecheng-2259	267	1	(	(	PUNCT
fumecheng-2259	267	2	38	38	NUM
fumecheng-2259	267	3	)	)	PUNCT
fumecheng-2259	267	4	.	.	PUNCT
fumecheng-2259	268	1	the	the	DET
fumecheng-2259	268	2	general	general	ADJ
fumecheng-2259	268	3	solution	solution	NOUN
fumecheng-2259	268	4	of	of	ADP
fumecheng-2259	268	5	eq	eq	PROPN
fumecheng-2259	268	6	.	.	PUNCT
fumecheng-2259	269	1	(	(	PUNCT
fumecheng-2259	269	2	38	38	NUM
fumecheng-2259	269	3	)	)	PUNCT
fumecheng-2259	269	4	is	be	AUX
fumecheng-2259	269	5	written	write	VERB
fumecheng-2259	269	6	as	as	ADP
fumecheng-2259	269	7	,	,	PUNCT
fumecheng-2259	269	8	1,)(00	1,)(00	NUM
fumecheng-2259	269	9			NUM
fumecheng-2259	269	10	iexww	iexww	ADV
fumecheng-2259	269	11	ti	ti	PROPN
fumecheng-2259	269	12	(	(	PUNCT
fumecheng-2259	269	13	40	40	NUM
fumecheng-2259	269	14	)	)	PUNCT
fumecheng-2259	269	15	where	where	SCONJ
fumecheng-2259	269	16	w0(x	w0(x	NOUN
fumecheng-2259	269	17	)	)	PUNCT
fumecheng-2259	269	18	is	be	AUX
fumecheng-2259	269	19	the	the	DET
fumecheng-2259	269	20	corresponding	corresponding	ADJ
fumecheng-2259	269	21	deformation	deformation	NOUN
fumecheng-2259	269	22	shape	shape	NOUN
fumecheng-2259	269	23	of	of	ADP
fumecheng-2259	269	24	the	the	DET
fumecheng-2259	269	25	ebdmbs	ebdmb	NOUN
fumecheng-2259	269	26	and	and	CCONJ
fumecheng-2259	269	27	ω	ω	PROPN
fumecheng-2259	269	28	is	be	AUX
fumecheng-2259	269	29	frequency	frequency	NOUN
fumecheng-2259	269	30	.	.	PUNCT
fumecheng-2259	270	1	for	for	ADP
fumecheng-2259	270	2	vibration	vibration	NOUN
fumecheng-2259	270	3	analysis	analysis	NOUN
fumecheng-2259	270	4	we	we	PRON
fumecheng-2259	270	5	know	know	VERB
fumecheng-2259	270	6	that	that	PRON
fumecheng-2259	270	7	is	be	AUX
fumecheng-2259	270	8	fm=0	fm=0	VERB
fumecheng-2259	270	9	.	.	PUNCT
fumecheng-2259	271	1	by	by	ADP
fumecheng-2259	271	2	introducing	introduce	VERB
fumecheng-2259	271	3	eq	eq	X
fumecheng-2259	271	4	.	.	PUNCT
fumecheng-2259	272	1	(	(	PUNCT
fumecheng-2259	272	2	40	40	NUM
fumecheng-2259	272	3	)	)	PUNCT
fumecheng-2259	272	4	in	in	ADP
fumecheng-2259	272	5	eq	eq	ADP
fumecheng-2259	272	6	.	.	PUNCT
fumecheng-2259	273	1	(	(	PUNCT
fumecheng-2259	273	2	38	38	NUM
fumecheng-2259	273	3	)	)	PUNCT
fumecheng-2259	273	4	we	we	PRON
fumecheng-2259	273	5	get	get	VERB
fumecheng-2259	273	6	4	4	NUM
fumecheng-2259	273	7	2	2	NUM
fumecheng-2259	273	8	2	2	NUM
fumecheng-2259	273	9	20	20	NUM
fumecheng-2259	273	10	0	0	NUM
fumecheng-2259	273	11	0	0	NUM
fumecheng-2259	273	12	04	04	NUM
fumecheng-2259	273	13	2	2	NUM
fumecheng-2259	273	14	(	(	PUNCT
fumecheng-2259	273	15	)	)	PUNCT
fumecheng-2259	273	16	(	(	PUNCT
fumecheng-2259	273	17	)	)	PUNCT
fumecheng-2259	273	18	(	(	PUNCT
fumecheng-2259	273	19	)	)	PUNCT
fumecheng-2259	273	20	(	(	PUNCT
fumecheng-2259	273	21	)	)	PUNCT
fumecheng-2259	273	22	(	(	PUNCT
fumecheng-2259	273	23	2	2	X
fumecheng-2259	273	24	)	)	PUNCT
fumecheng-2259	273	25	(	(	PUNCT
fumecheng-2259	273	26	)	)	PUNCT
fumecheng-2259	274	1	0,xx	0,xx	NOUN
fumecheng-2259	274	2	xz	xz	PROPN
fumecheng-2259	275	1	t	t	PROPN
fumecheng-2259	275	2	w	w	PROPN
fumecheng-2259	275	3	x	x	PROPN
fumecheng-2259	275	4	w	w	PROPN
fumecheng-2259	275	5	x	x	PROPN
fumecheng-2259	275	6	d	d	NOUN
fumecheng-2259	275	7	a	a	PROPN
fumecheng-2259	275	8	l	l	NOUN
fumecheng-2259	275	9	f	f	NOUN
fumecheng-2259	276	1	g	g	PROPN
fumecheng-2259	276	2	m	m	PROPN
fumecheng-2259	276	3	k	k	PROPN
fumecheng-2259	276	4	w	w	PROPN
fumecheng-2259	276	5	x	x	PUNCT
fumecheng-2259	276	6	x	x	X
fumecheng-2259	276	7	x	x	X
fumecheng-2259	276	8			PRON
fumecheng-2259	276	9			PROPN
fumecheng-2259	276	10			PROPN
fumecheng-2259	276	11			PROPN
fumecheng-2259	276	12			PUNCT
fumecheng-2259	276	13			PROPN
fumecheng-2259	276	14			PROPN
fumecheng-2259	276	15			PROPN
fumecheng-2259	276	16			NUM
fumecheng-2259	276	17			ADJ
fumecheng-2259	276	18			NOUN
fumecheng-2259	276	19	(	(	PUNCT
fumecheng-2259	276	20	41	41	NUM
fumecheng-2259	276	21	)	)	PUNCT
fumecheng-2259	276	22	or	or	CCONJ
fumecheng-2259	276	23	,	,	PUNCT
fumecheng-2259	276	24	0	0	NUM
fumecheng-2259	276	25	)	)	PUNCT
fumecheng-2259	276	26	(	(	PUNCT
fumecheng-2259	276	27	)	)	PUNCT
fumecheng-2259	276	28	(	(	PUNCT
fumecheng-2259	276	29	)	)	PUNCT
fumecheng-2259	276	30	(	(	PUNCT
fumecheng-2259	276	31	032	032	NUM
fumecheng-2259	276	32	0	0	NUM
fumecheng-2259	276	33	2	2	NUM
fumecheng-2259	276	34	24	24	NUM
fumecheng-2259	276	35	0	0	NUM
fumecheng-2259	276	36	4	4	NUM
fumecheng-2259	276	37	1	1	NUM
fumecheng-2259	276	38			NOUN
fumecheng-2259	276	39			ADJ
fumecheng-2259	276	40			PROPN
fumecheng-2259	276	41			PROPN
fumecheng-2259	276	42			PROPN
fumecheng-2259	276	43			PROPN
fumecheng-2259	276	44	xwa	xwa	PROPN
fumecheng-2259	277	1	x	x	PROPN
fumecheng-2259	277	2	xw	xw	PROPN
fumecheng-2259	278	1	a	a	PROPN
fumecheng-2259	278	2	x	x	PROPN
fumecheng-2259	278	3	xw	xw	PROPN
fumecheng-2259	278	4	a	a	PROPN
fumecheng-2259	278	5	(	(	PUNCT
fumecheng-2259	278	6	42	42	NUM
fumecheng-2259	278	7	)	)	PUNCT
fumecheng-2259	278	8	where	where	SCONJ
fumecheng-2259	278	9	the	the	DET
fumecheng-2259	278	10	coefficients	coefficient	NOUN
fumecheng-2259	278	11	are	be	AUX
fumecheng-2259	278	12	2	2	NUM
fumecheng-2259	278	13	2	2	NUM
fumecheng-2259	278	14	1	1	NUM
fumecheng-2259	278	15	2	2	NUM
fumecheng-2259	278	16	0	0	NUM
fumecheng-2259	278	17	3	3	NUM
fumecheng-2259	278	18	(	(	PUNCT
fumecheng-2259	278	19	)	)	PUNCT
fumecheng-2259	278	20	,	,	PUNCT
fumecheng-2259	278	21	(	(	PUNCT
fumecheng-2259	278	22	)	)	PUNCT
fumecheng-2259	278	23	,	,	PUNCT
fumecheng-2259	278	24	(	(	PUNCT
fumecheng-2259	278	25	2	2	NUM
fumecheng-2259	278	26	)	)	PUNCT
fumecheng-2259	278	27	.xx	.xx	PUNCT
fumecheng-2259	279	1	xz	xz	PROPN
fumecheng-2259	279	2	td	td	NOUN
fumecheng-2259	279	3	a	a	DET
fumecheng-2259	279	4	l	l	NOUN
fumecheng-2259	279	5	a	a	DET
fumecheng-2259	279	6	f	f	NOUN
fumecheng-2259	279	7	g	g	PROPN
fumecheng-2259	279	8	a	a	PROPN
fumecheng-2259	279	9	m	m	VERB
fumecheng-2259	279	10	k	k	X
fumecheng-2259	279	11	a	a	X
fumecheng-2259	279	12			PROPN
fumecheng-2259	279	13			PROPN
fumecheng-2259	279	14			PROPN
fumecheng-2259	279	15			NUM
fumecheng-2259	279	16	(	(	PUNCT
fumecheng-2259	279	17	43	43	NUM
fumecheng-2259	279	18	)	)	PUNCT
fumecheng-2259	279	19	the	the	DET
fumecheng-2259	279	20	general	general	ADJ
fumecheng-2259	279	21	solution	solution	NOUN
fumecheng-2259	279	22	of	of	ADP
fumecheng-2259	279	23	eq	eq	PROPN
fumecheng-2259	279	24	.	.	PUNCT
fumecheng-2259	280	1	(	(	PUNCT
fumecheng-2259	280	2	42	42	NUM
fumecheng-2259	280	3	)	)	PUNCT
fumecheng-2259	280	4	can	can	AUX
fumecheng-2259	280	5	be	be	AUX
fumecheng-2259	280	6	written	write	VERB
fumecheng-2259	280	7	as	as	ADP
fumecheng-2259	280	8	,	,	PUNCT
fumecheng-2259	280	9	coshsinhcossin	coshsinhcossin	NOUN
fumecheng-2259	280	10	)	)	PUNCT
fumecheng-2259	280	11	(	(	PUNCT
fumecheng-2259	280	12	242312110	242312110	NUM
fumecheng-2259	280	13	xcxcxcxcxw	xcxcxcxcxw	NOUN
fumecheng-2259	280	14			PUNCT
fumecheng-2259	280	15	(	(	PUNCT
fumecheng-2259	280	16	44	44	NUM
fumecheng-2259	280	17	)	)	PUNCT
fumecheng-2259	280	18	where	where	SCONJ
fumecheng-2259	280	19	ck	ck	ADJ
fumecheng-2259	280	20	,	,	PUNCT
fumecheng-2259	280	21	(	(	PUNCT
fumecheng-2259	280	22	k=1,2,3,4	k=1,2,3,4	ADJ
fumecheng-2259	280	23	)	)	PUNCT
fumecheng-2259	280	24	can	can	AUX
fumecheng-2259	280	25	be	be	AUX
fumecheng-2259	280	26	determined	determine	VERB
fumecheng-2259	280	27	from	from	ADP
fumecheng-2259	280	28	the	the	DET
fumecheng-2259	280	29	boundary	boundary	ADJ
fumecheng-2259	280	30	conditions	condition	NOUN
fumecheng-2259	280	31	(	(	PUNCT
fumecheng-2259	280	32	21	21	NUM
fumecheng-2259	280	33	)	)	PUNCT
fumecheng-2259	280	34	and	and	CCONJ
fumecheng-2259	280	35	2	2	NUM
fumecheng-2259	280	36	2	2	NUM
fumecheng-2259	280	37	2	2	NUM
fumecheng-2259	280	38	2	2	NUM
fumecheng-2259	280	39	1	1	NUM
fumecheng-2259	280	40	2	2	NUM
fumecheng-2259	280	41	2	2	NUM
fumecheng-2259	280	42	1	1	NUM
fumecheng-2259	280	43	3	3	NUM
fumecheng-2259	280	44	2	2	NUM
fumecheng-2259	280	45	2	2	NUM
fumecheng-2259	280	46	2	2	NUM
fumecheng-2259	280	47	1	1	NUM
fumecheng-2259	280	48	3	3	NUM
fumecheng-2259	280	49	1	1	NUM
fumecheng-2259	280	50	1	1	NUM
fumecheng-2259	280	51	1	1	NUM
fumecheng-2259	280	52	1	1	NUM
fumecheng-2259	280	53	(	(	PUNCT
fumecheng-2259	280	54	4	4	NUM
fumecheng-2259	280	55	)	)	PUNCT
fumecheng-2259	280	56	,	,	PUNCT
fumecheng-2259	280	57	(	(	PUNCT
fumecheng-2259	280	58	4	4	NUM
fumecheng-2259	280	59	)	)	PUNCT
fumecheng-2259	280	60	.	.	PUNCT
fumecheng-2259	281	1	2	2	NUM
fumecheng-2259	281	2	2	2	NUM
fumecheng-2259	281	3	a	a	PRON
fumecheng-2259	281	4	a	a	DET
fumecheng-2259	281	5	a	a	DET
fumecheng-2259	281	6	a	a	DET
fumecheng-2259	281	7	a	a	DET
fumecheng-2259	281	8	a	a	DET
fumecheng-2259	281	9	a	a	PRON
fumecheng-2259	281	10	a	a	PRON
fumecheng-2259	281	11	a	a	DET
fumecheng-2259	281	12	a	a	DET
fumecheng-2259	281	13			ADJ
fumecheng-2259	281	14			PROPN
fumecheng-2259	281	15			NOUN
fumecheng-2259	281	16			PUNCT
fumecheng-2259	281	17			PROPN
fumecheng-2259	281	18			PROPN
fumecheng-2259	281	19			X
fumecheng-2259	281	20	(	(	PUNCT
fumecheng-2259	281	21	45	45	NUM
fumecheng-2259	281	22	)	)	PUNCT
fumecheng-2259	281	23	further	far	ADV
fumecheng-2259	281	24	,	,	PUNCT
fumecheng-2259	281	25	the	the	DET
fumecheng-2259	281	26	solving	solving	NOUN
fumecheng-2259	281	27	of	of	ADP
fumecheng-2259	281	28	frequency	frequency	NOUN
fumecheng-2259	281	29	for	for	ADP
fumecheng-2259	281	30	the	the	DET
fumecheng-2259	281	31	out	out	ADJ
fumecheng-2259	281	32	-	-	PUNCT
fumecheng-2259	281	33	of	of	ADP
fumecheng-2259	281	34	-	-	PUNCT
fumecheng-2259	281	35	phase	phase	NOUN
fumecheng-2259	281	36	vibration	vibration	NOUN
fumecheng-2259	281	37	is	be	AUX
fumecheng-2259	281	38	presented	present	VERB
fumecheng-2259	281	39	in	in	ADP
fumecheng-2259	281	40	this	this	DET
fumecheng-2259	281	41	section	section	NOUN
fumecheng-2259	281	42	.	.	PUNCT
fumecheng-2259	282	1	the	the	DET
fumecheng-2259	282	2	configuration	configuration	NOUN
fumecheng-2259	282	3	of	of	ADP
fumecheng-2259	282	4	the	the	DET
fumecheng-2259	282	5	ebdmbs	ebdmb	NOUN
fumecheng-2259	282	6	with	with	ADP
fumecheng-2259	282	7	out	out	ADV
fumecheng-2259	282	8	-	-	PUNCT
fumecheng-2259	282	9	of	of	ADP
fumecheng-2259	282	10	-	-	PUNCT
fumecheng-2259	282	11	phase	phase	NOUN
fumecheng-2259	282	12	vibration	vibration	NOUN
fumecheng-2259	282	13	mode	mode	NOUN
fumecheng-2259	282	14	(	(	PUNCT
fumecheng-2259	282	15	w01	w01	PROPN
fumecheng-2259	282	16			PROPN
fumecheng-2259	282	17	w02	w02	NOUN
fumecheng-2259	282	18			NOUN
fumecheng-2259	282	19	0	0	NUM
fumecheng-2259	282	20	)	)	PUNCT
fumecheng-2259	282	21	is	be	AUX
fumecheng-2259	282	22	shown	show	VERB
fumecheng-2259	282	23	in	in	ADP
fumecheng-2259	282	24	fig	fig	NOUN
fumecheng-2259	282	25	.	.	PUNCT
fumecheng-2259	283	1	2	2	X
fumecheng-2259	283	2	.	.	PUNCT
fumecheng-2259	283	3	by	by	ADP
fumecheng-2259	283	4	using	use	VERB
fumecheng-2259	283	5	the	the	DET
fumecheng-2259	283	6	boundary	boundary	ADJ
fumecheng-2259	283	7	conditions	condition	NOUN
fumecheng-2259	283	8	of	of	ADP
fumecheng-2259	283	9	simply	simply	ADV
fumecheng-2259	283	10	-	-	PUNCT
fumecheng-2259	283	11	supported	support	VERB
fumecheng-2259	283	12	microbeam	microbeam	NOUN
fumecheng-2259	283	13	system	system	NOUN
fumecheng-2259	283	14	from	from	ADP
fumecheng-2259	283	15	eq	eq	PROPN
fumecheng-2259	283	16	.	.	PUNCT
fumecheng-2259	283	17	(	(	PUNCT
fumecheng-2259	283	18	21	21	NUM
fumecheng-2259	283	19	)	)	PUNCT
fumecheng-2259	283	20	yields	yield	NOUN
fumecheng-2259	283	21	c2=0	c2=0	PUNCT
fumecheng-2259	283	22	and	and	CCONJ
fumecheng-2259	283	23	c4=0	c4=0	PROPN
fumecheng-2259	283	24	.	.	PUNCT
fumecheng-2259	284	1	from	from	ADP
fumecheng-2259	284	2	that	that	PRON
fumecheng-2259	284	3	we	we	PRON
fumecheng-2259	284	4	can	can	AUX
fumecheng-2259	284	5	write	write	VERB
fumecheng-2259	284	6	1	1	NUM
fumecheng-2259	284	7	2	2	NUM
fumecheng-2259	284	8	1	1	NUM
fumecheng-2259	284	9	2	2	NUM
fumecheng-2259	284	10	2	2	NUM
fumecheng-2259	284	11	2	2	NUM
fumecheng-2259	284	12	2	2	NUM
fumecheng-2259	284	13	1	1	NUM
fumecheng-2259	284	14	1	1	NUM
fumecheng-2259	284	15	2	2	NUM
fumecheng-2259	284	16	2	2	NUM
fumecheng-2259	284	17	3	3	NUM
fumecheng-2259	284	18	sin	sin	NOUN
fumecheng-2259	284	19	sinh	sinh	NOUN
fumecheng-2259	284	20	0	0	PUNCT
fumecheng-2259	284	21	.	.	PUNCT
fumecheng-2259	285	1	(	(	PUNCT
fumecheng-2259	285	2	)	)	PUNCT
fumecheng-2259	285	3	sin	sin	NOUN
fumecheng-2259	285	4	(	(	PUNCT
fumecheng-2259	285	5	)	)	PUNCT
fumecheng-2259	285	6	sinh	sinh	PROPN
fumecheng-2259	285	7	0xx	0xx	PROPN
fumecheng-2259	286	1	xz	xz	PROPN
fumecheng-2259	287	1	xx	xx	NUM
fumecheng-2259	288	1	xz	xz	PROPN
fumecheng-2259	288	2	l	l	PROPN
fumecheng-2259	289	1	l	l	PUNCT
fumecheng-2259	289	2	c	c	X
fumecheng-2259	289	3	d	d	X
fumecheng-2259	289	4	a	a	DET
fumecheng-2259	289	5	l	l	NOUN
fumecheng-2259	289	6	l	l	NOUN
fumecheng-2259	290	1	d	d	NOUN
fumecheng-2259	290	2	a	a	DET
fumecheng-2259	290	3	l	l	NOUN
fumecheng-2259	290	4	l	l	NOUN
fumecheng-2259	290	5	c	c	PROPN
fumecheng-2259	290	6			X
fumecheng-2259	290	7			ADJ
fumecheng-2259	290	8			ADJ
fumecheng-2259	290	9			ADJ
fumecheng-2259	290	10			ADJ
fumecheng-2259	290	11			ADJ
fumecheng-2259	290	12			PROPN
fumecheng-2259	290	13			NOUN
fumecheng-2259	290	14			ADV
fumecheng-2259	291	1			NOUN
fumecheng-2259	291	2			ADP
fumecheng-2259	292	1			X
fumecheng-2259	292	2			PROPN
fumecheng-2259	292	3			PROPN
fumecheng-2259	293	1			PROPN
fumecheng-2259	293	2			VERB
fumecheng-2259	293	3			NOUN
fumecheng-2259	293	4			PUNCT
fumecheng-2259	293	5			VERB
fumecheng-2259	293	6			PROPN
fumecheng-2259	293	7			PROPN
fumecheng-2259	293	8			PROPN
fumecheng-2259	293	9			PROPN
fumecheng-2259	293	10			PROPN
fumecheng-2259	293	11	(	(	PUNCT
fumecheng-2259	293	12	46	46	NUM
fumecheng-2259	293	13	)	)	PUNCT
fumecheng-2259	293	14	for	for	ADP
fumecheng-2259	293	15	the	the	DET
fumecheng-2259	293	16	nontrivial	nontrivial	ADJ
fumecheng-2259	293	17	solution	solution	NOUN
fumecheng-2259	293	18	of	of	ADP
fumecheng-2259	293	19	eq	eq	PROPN
fumecheng-2259	293	20	.	.	PUNCT
fumecheng-2259	294	1	(	(	PUNCT
fumecheng-2259	294	2	46	46	NUM
fumecheng-2259	294	3	)	)	PUNCT
fumecheng-2259	294	4	the	the	DET
fumecheng-2259	294	5	determinant	determinant	ADJ
fumecheng-2259	294	6	is	be	AUX
fumecheng-2259	294	7	zero	zero	NUM
fumecheng-2259	294	8	,	,	PUNCT
fumecheng-2259	294	9	it	it	PRON
fumecheng-2259	294	10	follows	follow	VERB
fumecheng-2259	294	11	2	2	NUM
fumecheng-2259	294	12	2	2	NUM
fumecheng-2259	294	13	2	2	NUM
fumecheng-2259	294	14	2	2	NUM
fumecheng-2259	294	15	1	1	NUM
fumecheng-2259	294	16	2	2	NUM
fumecheng-2259	294	17	2	2	NUM
fumecheng-2259	294	18	1	1	NUM
fumecheng-2259	294	19	2sin	2sin	NUM
fumecheng-2259	294	20	[	[	X
fumecheng-2259	294	21	(	(	PUNCT
fumecheng-2259	294	22	)	)	PUNCT
fumecheng-2259	294	23	sinh	sinh	NOUN
fumecheng-2259	294	24	(	(	PUNCT
fumecheng-2259	294	25	)	)	PUNCT
fumecheng-2259	294	26	sinh	sinh	PROPN
fumecheng-2259	294	27	]	]	PUNCT
fumecheng-2259	295	1	0.xx	0.xx	NUM
fumecheng-2259	295	2	xz	xz	PROPN
fumecheng-2259	295	3	xx	xx	NUM
fumecheng-2259	296	1	xzl	xzl	PROPN
fumecheng-2259	297	1	d	d	X
fumecheng-2259	297	2	a	a	DET
fumecheng-2259	297	3	l	l	NOUN
fumecheng-2259	297	4	l	l	NOUN
fumecheng-2259	298	1	d	d	NOUN
fumecheng-2259	298	2	a	a	DET
fumecheng-2259	298	3	l	l	NOUN
fumecheng-2259	298	4	l	l	PROPN
fumecheng-2259	298	5			ADJ
fumecheng-2259	298	6			ADJ
fumecheng-2259	298	7			ADJ
fumecheng-2259	298	8			PROPN
fumecheng-2259	298	9			PROPN
fumecheng-2259	298	10			VERB
fumecheng-2259	298	11			NUM
fumecheng-2259	298	12	(	(	PUNCT
fumecheng-2259	298	13	47	47	NUM
fumecheng-2259	298	14	)	)	PUNCT
fumecheng-2259	298	15	from	from	ADP
fumecheng-2259	298	16	eq	eq	ADP
fumecheng-2259	298	17	.	.	PUNCT
fumecheng-2259	299	1	(	(	PUNCT
fumecheng-2259	299	2	47	47	NUM
fumecheng-2259	299	3	)	)	PUNCT
fumecheng-2259	299	4	the	the	DET
fumecheng-2259	299	5	frequency	frequency	NOUN
fumecheng-2259	299	6	equation	equation	NOUN
fumecheng-2259	299	7	is	be	AUX
fumecheng-2259	299	8	,	,	PUNCT
fumecheng-2259	299	9	0sin	0sin	PROPN
fumecheng-2259	299	10	1	1	NUM
fumecheng-2259	299	11			NOUN
fumecheng-2259	299	12	l	l	NOUN
fumecheng-2259	299	13	(	(	PUNCT
fumecheng-2259	299	14	48	48	NUM
fumecheng-2259	299	15	)	)	PUNCT
fumecheng-2259	299	16	54	54	NUM
fumecheng-2259	299	17	m.	m.	NOUN
fumecheng-2259	299	18	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	299	19	atanasov	atanasov	PROPN
fumecheng-2259	299	20	,	,	PUNCT
fumecheng-2259	299	21	d.	d.	PROPN
fumecheng-2259	299	22	karliţiš	karliţiš	PROPN
fumecheng-2259	299	23	,	,	PUNCT
fumecheng-2259	299	24	p.	p.	PROPN
fumecheng-2259	299	25	koziš	koziš	PROPN
fumecheng-2259	299	26	,	,	PUNCT
fumecheng-2259	299	27	g.	g.	PROPN
fumecheng-2259	299	28	janevski	janevski	PROPN
fumecheng-2259	299	29	and	and	CCONJ
fumecheng-2259	299	30	implies	imply	VERB
fumecheng-2259	299	31	...	...	PUNCT
fumecheng-2259	299	32	2,1,1	2,1,1	NUM
fumecheng-2259	299	33			NUM
fumecheng-2259	299	34	nnl	nnl	X
fumecheng-2259	299	35	(	(	PUNCT
fumecheng-2259	299	36	49	49	NUM
fumecheng-2259	299	37	)	)	PUNCT
fumecheng-2259	299	38	using	use	VERB
fumecheng-2259	299	39	eq	eq	X
fumecheng-2259	299	40	.	.	PUNCT
fumecheng-2259	300	1	(	(	PUNCT
fumecheng-2259	300	2	45	45	NUM
fumecheng-2259	300	3	)	)	PUNCT
fumecheng-2259	300	4	yields	yield	VERB
fumecheng-2259	300	5	.03	.03	NUM
fumecheng-2259	300	6	2	2	NUM
fumecheng-2259	300	7	12	12	NUM
fumecheng-2259	300	8	4	4	NUM
fumecheng-2259	300	9	11	11	NUM
fumecheng-2259	300	10			NOUN
fumecheng-2259	300	11	aaa	aaa	NOUN
fumecheng-2259	300	12			NOUN
fumecheng-2259	300	13	(	(	PUNCT
fumecheng-2259	300	14	50	50	NUM
fumecheng-2259	300	15	)	)	PUNCT
fumecheng-2259	300	16	using	use	VERB
fumecheng-2259	300	17	the	the	DET
fumecheng-2259	300	18	dimensionless	dimensionless	NOUN
fumecheng-2259	300	19	parameters	parameter	NOUN
fumecheng-2259	300	20	(	(	PUNCT
fumecheng-2259	300	21	25	25	NUM
fumecheng-2259	300	22	)	)	PUNCT
fumecheng-2259	300	23	and	and	CCONJ
fumecheng-2259	300	24	eq	eq	NOUN
fumecheng-2259	300	25	.	.	PUNCT
fumecheng-2259	301	1	(	(	PUNCT
fumecheng-2259	301	2	43	43	NUM
fumecheng-2259	301	3	)	)	PUNCT
fumecheng-2259	301	4	,	,	PUNCT
fumecheng-2259	301	5	the	the	DET
fumecheng-2259	301	6	natural	natural	ADJ
fumecheng-2259	301	7	frequency	frequency	NOUN
fumecheng-2259	301	8	of	of	ADP
fumecheng-2259	301	9	the	the	DET
fumecheng-2259	301	10	ebdmbs	ebdmb	NOUN
fumecheng-2259	301	11	for	for	ADP
fumecheng-2259	301	12	out	out	ADV
fumecheng-2259	301	13	-	-	PUNCT
fumecheng-2259	301	14	of	of	ADP
fumecheng-2259	301	15	-	-	PUNCT
fumecheng-2259	301	16	phase	phase	NOUN
fumecheng-2259	301	17	vibration	vibration	NOUN
fumecheng-2259	301	18	mode	mode	NOUN
fumecheng-2259	301	19	we	we	PRON
fumecheng-2259	301	20	get	get	VERB
fumecheng-2259	301	21	2	2	NUM
fumecheng-2259	301	22	4	4	NUM
fumecheng-2259	301	23	2	2	NUM
fumecheng-2259	301	24	0	0	NUM
fumecheng-2259	301	25	(	(	PUNCT
fumecheng-2259	301	26	)	)	PUNCT
fumecheng-2259	301	27	(	(	PUNCT
fumecheng-2259	301	28	)	)	PUNCT
fumecheng-2259	301	29	2	2	NUM
fumecheng-2259	301	30	.n	.n	NOUN
fumecheng-2259	301	31	xx	xx	NUM
fumecheng-2259	302	1	xz	xz	PROPN
fumecheng-2259	303	1	n	n	PROPN
fumecheng-2259	303	2	t	t	PROPN
fumecheng-2259	303	3	p	p	NOUN
fumecheng-2259	303	4	n	n	PRON
fumecheng-2259	303	5	wd	wd	PROPN
fumecheng-2259	303	6	a	a	DET
fumecheng-2259	303	7	l	l	NOUN
fumecheng-2259	304	1	k	k	NOUN
fumecheng-2259	304	2	f	f	PROPN
fumecheng-2259	305	1	k	k	PROPN
fumecheng-2259	305	2	k	k	PROPN
fumecheng-2259	305	3	k	k	PROPN
fumecheng-2259	305	4			PROPN
fumecheng-2259	305	5			PUNCT
fumecheng-2259	305	6			PROPN
fumecheng-2259	305	7			PROPN
fumecheng-2259	305	8			X
fumecheng-2259	305	9	(	(	PUNCT
fumecheng-2259	305	10	51	51	NUM
fumecheng-2259	305	11	)	)	PUNCT
fumecheng-2259	305	12	using	use	VERB
fumecheng-2259	305	13	dimensionless	dimensionless	ADJ
fumecheng-2259	305	14	parameters	parameter	NOUN
fumecheng-2259	305	15	(	(	PUNCT
fumecheng-2259	305	16	25	25	NUM
fumecheng-2259	305	17	)	)	PUNCT
fumecheng-2259	305	18	and	and	CCONJ
fumecheng-2259	305	19	eq	eq	NOUN
fumecheng-2259	305	20	.	.	PUNCT
fumecheng-2259	306	1	(	(	PUNCT
fumecheng-2259	306	2	38	38	NUM
fumecheng-2259	306	3	)	)	PUNCT
fumecheng-2259	306	4	we	we	PRON
fumecheng-2259	306	5	get	get	VERB
fumecheng-2259	306	6	the	the	DET
fumecheng-2259	306	7	expression	expression	NOUN
fumecheng-2259	306	8	of	of	ADP
fumecheng-2259	306	9	buckling	buckle	VERB
fumecheng-2259	306	10	load	load	NOUN
fumecheng-2259	306	11	in	in	ADP
fumecheng-2259	306	12	out	out	ADP
fumecheng-2259	306	13	-	-	PUNCT
fumecheng-2259	306	14	of	of	ADP
fumecheng-2259	306	15	-	-	PUNCT
fumecheng-2259	306	16	phase	phase	NOUN
fumecheng-2259	306	17	sequence	sequence	NOUN
fumecheng-2259	306	18	as	as	ADP
fumecheng-2259	306	19	2	2	NUM
fumecheng-2259	306	20	4	4	NUM
fumecheng-2259	306	21	2	2	NUM
fumecheng-2259	306	22	2	2	NUM
fumecheng-2259	306	23	(	(	PUNCT
fumecheng-2259	306	24	)	)	PUNCT
fumecheng-2259	306	25	(	(	PUNCT
fumecheng-2259	306	26	)	)	PUNCT
fumecheng-2259	306	27	2	2	NUM
fumecheng-2259	306	28	,	,	PUNCT
fumecheng-2259	306	29	xx	xx	NUM
fumecheng-2259	306	30	xz	xz	PROPN
fumecheng-2259	306	31	n	n	PROPN
fumecheng-2259	306	32	t	t	PROPN
fumecheng-2259	306	33	p	p	PROPN
fumecheng-2259	306	34	n	n	PROPN
fumecheng-2259	306	35	w	w	PROPN
fumecheng-2259	306	36	n	n	CCONJ
fumecheng-2259	306	37	n	n	PROPN
fumecheng-2259	306	38	d	d	PROPN
fumecheng-2259	306	39	a	a	DET
fumecheng-2259	306	40	l	l	NOUN
fumecheng-2259	306	41	k	k	NOUN
fumecheng-2259	306	42	f	f	PROPN
fumecheng-2259	307	1	k	k	PROPN
fumecheng-2259	307	2	k	k	PROPN
fumecheng-2259	307	3	k	k	PROPN
fumecheng-2259	307	4	f	f	PROPN
fumecheng-2259	307	5	k	k	PROPN
fumecheng-2259	307	6			PUNCT
fumecheng-2259	307	7			PROPN
fumecheng-2259	307	8			PROPN
fumecheng-2259	307	9			ADV
fumecheng-2259	307	10			NUM
fumecheng-2259	307	11	(	(	PUNCT
fumecheng-2259	307	12	52	52	NUM
fumecheng-2259	307	13	)	)	PUNCT
fumecheng-2259	307	14	3.2	3.2	NUM
fumecheng-2259	307	15	.	.	PUNCT
fumecheng-2259	308	1	in	in	ADP
fumecheng-2259	308	2	-	-	PUNCT
fumecheng-2259	308	3	phase	phase	NOUN
fumecheng-2259	308	4	modes	mode	NOUN
fumecheng-2259	308	5	of	of	ADP
fumecheng-2259	308	6	vibration	vibration	NOUN
fumecheng-2259	308	7	and	and	CCONJ
fumecheng-2259	308	8	buckling	buckle	VERB
fumecheng-2259	308	9	state	state	NOUN
fumecheng-2259	308	10	the	the	DET
fumecheng-2259	308	11	configuration	configuration	NOUN
fumecheng-2259	308	12	of	of	ADP
fumecheng-2259	308	13	the	the	DET
fumecheng-2259	308	14	ebdmbs	ebdmb	NOUN
fumecheng-2259	308	15	with	with	ADP
fumecheng-2259	308	16	in	in	ADP
fumecheng-2259	308	17	-	-	PUNCT
fumecheng-2259	308	18	phase	phase	NOUN
fumecheng-2259	308	19	modes	mode	NOUN
fumecheng-2259	308	20	of	of	ADP
fumecheng-2259	308	21	vibration	vibration	NOUN
fumecheng-2259	308	22	is	be	AUX
fumecheng-2259	308	23	shown	show	VERB
fumecheng-2259	308	24	in	in	ADP
fumecheng-2259	308	25	fig	fig	NOUN
fumecheng-2259	308	26	.	.	PUNCT
fumecheng-2259	309	1	3	3	X
fumecheng-2259	309	2	.	.	X
fumecheng-2259	309	3	the	the	DET
fumecheng-2259	309	4	relative	relative	ADJ
fumecheng-2259	309	5	displacements	displacement	NOUN
fumecheng-2259	309	6	between	between	ADP
fumecheng-2259	309	7	the	the	DET
fumecheng-2259	309	8	two	two	NUM
fumecheng-2259	309	9	microbeams	microbeam	NOUN
fumecheng-2259	309	10	are	be	AUX
fumecheng-2259	309	11	absent	absent	ADJ
fumecheng-2259	309	12	(	(	PUNCT
fumecheng-2259	309	13	w01	w01	PROPN
fumecheng-2259	309	14			NOUN
fumecheng-2259	309	15	w02	w02	NOUN
fumecheng-2259	309	16	=	=	SYM
fumecheng-2259	309	17	0	0	NUM
fumecheng-2259	309	18	)	)	PUNCT
fumecheng-2259	309	19	.	.	PUNCT
fumecheng-2259	310	1	for	for	ADP
fumecheng-2259	310	2	the	the	DET
fumecheng-2259	310	3	mentioned	mention	VERB
fumecheng-2259	310	4	ebdmbs	ebdmb	NOUN
fumecheng-2259	310	5	vibration	vibration	NOUN
fumecheng-2259	310	6	we	we	PRON
fumecheng-2259	310	7	solve	solve	VERB
fumecheng-2259	310	8	the	the	DET
fumecheng-2259	310	9	eq	eq	NOUN
fumecheng-2259	310	10	.	.	PUNCT
fumecheng-2259	311	1	(	(	PUNCT
fumecheng-2259	311	2	39	39	NUM
fumecheng-2259	311	3	)	)	PUNCT
fumecheng-2259	311	4	.	.	PUNCT
fumecheng-2259	312	1	fig	fig	NOUN
fumecheng-2259	312	2	.	.	PUNCT
fumecheng-2259	313	1	3	3	NUM
fumecheng-2259	313	2	out	out	ADV
fumecheng-2259	313	3	-	-	PUNCT
fumecheng-2259	313	4	of	of	ADP
fumecheng-2259	313	5	-	-	PUNCT
fumecheng-2259	313	6	phase	phase	NOUN
fumecheng-2259	313	7	vibration	vibration	NOUN
fumecheng-2259	313	8	of	of	ADP
fumecheng-2259	313	9	the	the	DET
fumecheng-2259	313	10	double	double	ADJ
fumecheng-2259	313	11	-	-	PUNCT
fumecheng-2259	313	12	microbeam	microbeam	NOUN
fumecheng-2259	313	13	system	system	NOUN
fumecheng-2259	313	14	by	by	ADP
fumecheng-2259	313	15	applying	apply	VERB
fumecheng-2259	313	16	the	the	DET
fumecheng-2259	313	17	same	same	ADJ
fumecheng-2259	313	18	procedure	procedure	NOUN
fumecheng-2259	313	19	from	from	ADP
fumecheng-2259	313	20	the	the	DET
fumecheng-2259	313	21	previous	previous	ADJ
fumecheng-2259	313	22	chapter	chapter	NOUN
fumecheng-2259	313	23	the	the	DET
fumecheng-2259	313	24	natural	natural	ADJ
fumecheng-2259	313	25	frequencies	frequency	NOUN
fumecheng-2259	313	26	of	of	ADP
fumecheng-2259	313	27	the	the	DET
fumecheng-2259	313	28	ebdmbs	ebdmb	NOUN
fumecheng-2259	313	29	for	for	ADP
fumecheng-2259	313	30	in	in	ADP
fumecheng-2259	313	31	-	-	PUNCT
fumecheng-2259	313	32	phase	phase	NOUN
fumecheng-2259	313	33	vibration	vibration	NOUN
fumecheng-2259	313	34	mode	mode	NOUN
fumecheng-2259	313	35	can	can	AUX
fumecheng-2259	313	36	be	be	AUX
fumecheng-2259	313	37	expressed	express	VERB
fumecheng-2259	313	38	as	as	ADP
fumecheng-2259	313	39	2	2	NUM
fumecheng-2259	313	40	4	4	NUM
fumecheng-2259	313	41	2	2	NUM
fumecheng-2259	313	42	0	0	NUM
fumecheng-2259	313	43	(	(	PUNCT
fumecheng-2259	313	44	)	)	PUNCT
fumecheng-2259	313	45	(	(	PUNCT
fumecheng-2259	313	46	)	)	PUNCT
fumecheng-2259	313	47	.n	.n	PROPN
fumecheng-2259	314	1	xx	xx	NUM
fumecheng-2259	315	1	xz	xz	PROPN
fumecheng-2259	316	1	n	n	PROPN
fumecheng-2259	316	2	t	t	PROPN
fumecheng-2259	317	1	p	p	X
fumecheng-2259	317	2	nd	nd	INTJ
fumecheng-2259	317	3	a	a	DET
fumecheng-2259	317	4	l	l	NOUN
fumecheng-2259	317	5	k	k	NOUN
fumecheng-2259	318	1	f	f	X
fumecheng-2259	318	2	k	k	PROPN
fumecheng-2259	318	3	k	k	PROPN
fumecheng-2259	318	4			PROPN
fumecheng-2259	318	5			PUNCT
fumecheng-2259	318	6			PROPN
fumecheng-2259	318	7			PROPN
fumecheng-2259	318	8	(	(	PUNCT
fumecheng-2259	318	9	53	53	NUM
fumecheng-2259	318	10	)	)	PUNCT
fumecheng-2259	318	11	the	the	DET
fumecheng-2259	318	12	microbeams	microbeam	NOUN
fumecheng-2259	318	13	are	be	AUX
fumecheng-2259	318	14	buckled	buckle	VERB
fumecheng-2259	318	15	in	in	ADP
fumecheng-2259	318	16	the	the	DET
fumecheng-2259	318	17	same	same	ADJ
fumecheng-2259	318	18	direction	direction	NOUN
fumecheng-2259	318	19	(	(	PUNCT
fumecheng-2259	318	20	synchronous	synchronous	ADJ
fumecheng-2259	318	21	)	)	PUNCT
fumecheng-2259	318	22	,	,	PUNCT
fumecheng-2259	318	23	see	see	VERB
fumecheng-2259	318	24	fig	fig	NOUN
fumecheng-2259	318	25	.	.	PUNCT
fumecheng-2259	319	1	3.using	3.using	NUM
fumecheng-2259	319	2	dimensionless	dimensionless	NOUN
fumecheng-2259	319	3	parameters	parameter	NOUN
fumecheng-2259	319	4	(	(	PUNCT
fumecheng-2259	319	5	25	25	NUM
fumecheng-2259	319	6	)	)	PUNCT
fumecheng-2259	319	7	and	and	CCONJ
fumecheng-2259	319	8	eq	eq	NOUN
fumecheng-2259	319	9	.	.	PUNCT
fumecheng-2259	320	1	(	(	PUNCT
fumecheng-2259	320	2	39	39	NUM
fumecheng-2259	320	3	)	)	PUNCT
fumecheng-2259	320	4	we	we	PRON
fumecheng-2259	320	5	get	get	VERB
fumecheng-2259	320	6	the	the	DET
fumecheng-2259	320	7	expression	expression	NOUN
fumecheng-2259	320	8	of	of	ADP
fumecheng-2259	320	9	buckling	buckle	VERB
fumecheng-2259	320	10	load	load	NOUN
fumecheng-2259	320	11	in	in	ADP
fumecheng-2259	320	12	inphase	inphase	ADJ
fumecheng-2259	320	13	sequence	sequence	NOUN
fumecheng-2259	320	14	as	as	ADP
fumecheng-2259	320	15	2	2	NUM
fumecheng-2259	320	16	2	2	NUM
fumecheng-2259	320	17	(	(	PUNCT
fumecheng-2259	320	18	)	)	PUNCT
fumecheng-2259	320	19	(	(	PUNCT
fumecheng-2259	320	20	)	)	PUNCT
fumecheng-2259	320	21	.n	.n	PROPN
fumecheng-2259	321	1	xx	xx	NUM
fumecheng-2259	322	1	xz	xz	PROPN
fumecheng-2259	322	2	n	n	PROPN
fumecheng-2259	322	3	t	t	PROPN
fumecheng-2259	322	4	pf	pf	PROPN
fumecheng-2259	322	5	d	d	PROPN
fumecheng-2259	322	6	a	a	DET
fumecheng-2259	322	7	l	l	NOUN
fumecheng-2259	322	8	k	k	PROPN
fumecheng-2259	322	9	f	f	PROPN
fumecheng-2259	322	10	k	k	PROPN
fumecheng-2259	322	11			PUNCT
fumecheng-2259	322	12			PROPN
fumecheng-2259	322	13			PROPN
fumecheng-2259	322	14	(	(	PUNCT
fumecheng-2259	322	15	54	54	NUM
fumecheng-2259	322	16	)	)	PUNCT
fumecheng-2259	322	17	it	it	PRON
fumecheng-2259	322	18	is	be	AUX
fumecheng-2259	322	19	shown	show	VERB
fumecheng-2259	322	20	from	from	ADP
fumecheng-2259	322	21	eqs	eqs	PROPN
fumecheng-2259	322	22	.	.	PUNCT
fumecheng-2259	323	1	(	(	PUNCT
fumecheng-2259	323	2	53	53	NUM
fumecheng-2259	323	3	)	)	PUNCT
fumecheng-2259	323	4	and	and	CCONJ
fumecheng-2259	323	5	(	(	PUNCT
fumecheng-2259	323	6	54	54	NUM
fumecheng-2259	323	7	)	)	PUNCT
fumecheng-2259	323	8	that	that	SCONJ
fumecheng-2259	323	9	the	the	DET
fumecheng-2259	323	10	in	in	ADP
fumecheng-2259	323	11	-	-	PUNCT
fumecheng-2259	323	12	phase	phase	NOUN
fumecheng-2259	323	13	vibration	vibration	NOUN
fumecheng-2259	323	14	mode	mode	NOUN
fumecheng-2259	323	15	and	and	CCONJ
fumecheng-2259	323	16	buckling	buckle	VERB
fumecheng-2259	323	17	state	state	NOUN
fumecheng-2259	323	18	of	of	ADP
fumecheng-2259	323	19	the	the	DET
fumecheng-2259	323	20	ebdmbs	ebdmb	NOUN
fumecheng-2259	323	21	is	be	AUX
fumecheng-2259	323	22	independent	independent	ADJ
fumecheng-2259	323	23	of	of	ADP
fumecheng-2259	323	24	the	the	DET
fumecheng-2259	323	25	stiffness	stiffness	NOUN
fumecheng-2259	323	26	of	of	ADP
fumecheng-2259	323	27	the	the	DET
fumecheng-2259	323	28	connecting	connect	VERB
fumecheng-2259	323	29	springs	spring	NOUN
fumecheng-2259	323	30	while	while	SCONJ
fumecheng-2259	323	31	it	it	PRON
fumecheng-2259	323	32	is	be	AUX
fumecheng-2259	323	33	dependent	dependent	ADJ
fumecheng-2259	323	34	on	on	ADP
fumecheng-2259	323	35	pasternak	pasternak	PROPN
fumecheng-2259	323	36	's	's	PART
fumecheng-2259	323	37	layer	layer	NOUN
fumecheng-2259	323	38	and	and	CCONJ
fumecheng-2259	323	39	temperature	temperature	NOUN
fumecheng-2259	323	40	effect	effect	NOUN
fumecheng-2259	323	41	and	and	CCONJ
fumecheng-2259	323	42	hence	hence	ADV
fumecheng-2259	323	43	the	the	DET
fumecheng-2259	323	44	ebdmbs	ebdmb	NOUN
fumecheng-2259	323	45	can	can	AUX
fumecheng-2259	323	46	be	be	AUX
fumecheng-2259	323	47	treated	treat	VERB
fumecheng-2259	323	48	as	as	ADP
fumecheng-2259	323	49	a	a	DET
fumecheng-2259	323	50	single	single	ADJ
fumecheng-2259	323	51	microbeam	microbeam	NOUN
fumecheng-2259	323	52	.	.	PUNCT
fumecheng-2259	324	1	a	a	DET
fumecheng-2259	324	2	similar	similar	ADJ
fumecheng-2259	324	3	analysis	analysis	NOUN
fumecheng-2259	324	4	for	for	ADP
fumecheng-2259	324	5	nanobeam	nanobeam	ADJ
fumecheng-2259	324	6	system	system	NOUN
fumecheng-2259	324	7	is	be	AUX
fumecheng-2259	324	8	presented	present	VERB
fumecheng-2259	324	9	in	in	ADP
fumecheng-2259	324	10	the	the	DET
fumecheng-2259	324	11	paper	paper	NOUN
fumecheng-2259	324	12	of	of	ADP
fumecheng-2259	324	13	murmu	murmu	PROPN
fumecheng-2259	324	14	and	and	CCONJ
fumecheng-2259	324	15	adhikari	adhikari	PROPN
fumecheng-2259	325	1	[	[	X
fumecheng-2259	325	2	33	33	NUM
fumecheng-2259	325	3	,	,	PUNCT
fumecheng-2259	325	4	35	35	NUM
fumecheng-2259	325	5	]	]	PUNCT
fumecheng-2259	325	6	.	.	PUNCT
fumecheng-2259	326	1	thermal	thermal	ADJ
fumecheng-2259	326	2	effect	effect	NOUN
fumecheng-2259	326	3	on	on	ADP
fumecheng-2259	326	4	the	the	DET
fumecheng-2259	326	5	free	free	ADJ
fumecheng-2259	326	6	vibration	vibration	NOUN
fumecheng-2259	326	7	and	and	CCONJ
fumecheng-2259	326	8	buckling	buckling	NOUN
fumecheng-2259	326	9	of	of	ADP
fumecheng-2259	326	10	a	a	DET
fumecheng-2259	326	11	double	double	ADJ
fumecheng-2259	326	12	-	-	PUNCT
fumecheng-2259	326	13	microbeam	microbeam	NOUN
fumecheng-2259	326	14	system	system	NOUN
fumecheng-2259	326	15	55	55	NUM
fumecheng-2259	326	16	4	4	NUM
fumecheng-2259	326	17	.	.	PUNCT
fumecheng-2259	326	18	numerical	numerical	ADJ
fumecheng-2259	326	19	results	result	NOUN
fumecheng-2259	326	20	and	and	CCONJ
fumecheng-2259	326	21	discussion	discussion	NOUN
fumecheng-2259	326	22	in	in	ADP
fumecheng-2259	326	23	this	this	DET
fumecheng-2259	326	24	section	section	NOUN
fumecheng-2259	326	25	,	,	PUNCT
fumecheng-2259	326	26	we	we	PRON
fumecheng-2259	326	27	have	have	AUX
fumecheng-2259	326	28	illustrated	illustrate	VERB
fumecheng-2259	326	29	a	a	DET
fumecheng-2259	326	30	comparative	comparative	ADJ
fumecheng-2259	326	31	study	study	NOUN
fumecheng-2259	326	32	of	of	ADP
fumecheng-2259	326	33	the	the	DET
fumecheng-2259	326	34	analytical	analytical	ADJ
fumecheng-2259	326	35	results	result	NOUN
fumecheng-2259	326	36	written	write	VERB
fumecheng-2259	326	37	in	in	ADP
fumecheng-2259	326	38	this	this	DET
fumecheng-2259	326	39	paper	paper	NOUN
fumecheng-2259	326	40	and	and	CCONJ
fumecheng-2259	326	41	the	the	DET
fumecheng-2259	326	42	results	result	NOUN
fumecheng-2259	326	43	found	find	VERB
fumecheng-2259	326	44	in	in	ADP
fumecheng-2259	326	45	the	the	DET
fumecheng-2259	326	46	literature	literature	NOUN
fumecheng-2259	326	47	.	.	PUNCT
fumecheng-2259	327	1	the	the	DET
fumecheng-2259	327	2	microbeams	microbeam	NOUN
fumecheng-2259	327	3	of	of	ADP
fumecheng-2259	327	4	the	the	DET
fumecheng-2259	327	5	system	system	NOUN
fumecheng-2259	327	6	are	be	AUX
fumecheng-2259	327	7	made	make	VERB
fumecheng-2259	327	8	of	of	ADP
fumecheng-2259	327	9	epoxy	epoxy	NOUN
fumecheng-2259	327	10	with	with	ADP
fumecheng-2259	327	11	the	the	DET
fumecheng-2259	327	12	following	follow	VERB
fumecheng-2259	327	13	properties	property	NOUN
fumecheng-2259	327	14	:	:	PUNCT
fumecheng-2259	327	15	ν=0.38	ν=0.38	NOUN
fumecheng-2259	327	16	,	,	PUNCT
fumecheng-2259	327	17	ρ=1220kg	ρ=1220kg	NUM
fumecheng-2259	327	18	/	/	SYM
fumecheng-2259	327	19	m	m	PROPN
fumecheng-2259	327	20	3	3	NUM
fumecheng-2259	327	21	,	,	PUNCT
fumecheng-2259	327	22	e=1.44gpa	e=1.44gpa	NOUN
fumecheng-2259	327	23	,	,	PUNCT
fumecheng-2259	327	24	l=17.6μm	l=17.6μm	PROPN
fumecheng-2259	327	25	,	,	PUNCT
fumecheng-2259	327	26	α=54×10	α=54×10	NUM
fumecheng-2259	327	27	-6	-6	ADJ
fumecheng-2259	327	28	/	/	SYM
fumecheng-2259	327	29	◦	◦	NOUN
fumecheng-2259	327	30	c	c	NOUN
fumecheng-2259	327	31	from	from	ADP
fumecheng-2259	327	32	[	[	X
fumecheng-2259	327	33	24	24	NUM
fumecheng-2259	327	34	]	]	PUNCT
fumecheng-2259	327	35	.	.	PUNCT
fumecheng-2259	328	1	the	the	DET
fumecheng-2259	328	2	cross	cross	ADJ
fumecheng-2259	328	3	-	-	ADJ
fumecheng-2259	328	4	section	section	ADJ
fumecheng-2259	328	5	shape	shape	NOUN
fumecheng-2259	328	6	and	and	CCONJ
fumecheng-2259	328	7	length	length	NOUN
fumecheng-2259	328	8	are	be	AUX
fumecheng-2259	328	9	kept	keep	VERB
fumecheng-2259	328	10	the	the	DET
fumecheng-2259	328	11	same	same	ADJ
fumecheng-2259	328	12	by	by	ADP
fumecheng-2259	328	13	letting	let	VERB
fumecheng-2259	328	14	b	b	X
fumecheng-2259	328	15	/	/	SYM
fumecheng-2259	328	16	h=2	h=2	PROPN
fumecheng-2259	328	17	and	and	CCONJ
fumecheng-2259	328	18	l	l	NOUN
fumecheng-2259	328	19	/	/	SYM
fumecheng-2259	328	20	h=10	h=10	NOUN
fumecheng-2259	328	21	respectively	respectively	ADV
fumecheng-2259	328	22	.	.	PUNCT
fumecheng-2259	329	1	temperature	temperature	NOUN
fumecheng-2259	329	2	and	and	CCONJ
fumecheng-2259	329	3	material	material	NOUN
fumecheng-2259	329	4	length	length	NOUN
fumecheng-2259	329	5	scale	scale	NOUN
fumecheng-2259	329	6	parameter	parameter	NOUN
fumecheng-2259	329	7	effect	effect	NOUN
fumecheng-2259	329	8	on	on	ADP
fumecheng-2259	329	9	the	the	DET
fumecheng-2259	329	10	two	two	NUM
fumecheng-2259	329	11	different	different	ADJ
fumecheng-2259	329	12	cases	case	NOUN
fumecheng-2259	329	13	of	of	ADP
fumecheng-2259	329	14	phase	phase	NOUN
fumecheng-2259	329	15	vibration	vibration	NOUN
fumecheng-2259	329	16	modes	mode	NOUN
fumecheng-2259	329	17	and	and	CCONJ
fumecheng-2259	329	18	buckling	buckle	VERB
fumecheng-2259	329	19	state	state	NOUN
fumecheng-2259	329	20	will	will	AUX
fumecheng-2259	329	21	be	be	AUX
fumecheng-2259	329	22	presented	present	VERB
fumecheng-2259	329	23	.	.	PUNCT
fumecheng-2259	330	1	a	a	DET
fumecheng-2259	330	2	detailed	detailed	ADJ
fumecheng-2259	330	3	parametric	parametric	ADJ
fumecheng-2259	330	4	study	study	NOUN
fumecheng-2259	330	5	is	be	AUX
fumecheng-2259	330	6	carried	carry	VERB
fumecheng-2259	330	7	out	out	ADP
fumecheng-2259	330	8	by	by	ADP
fumecheng-2259	330	9	investigating	investigate	VERB
fumecheng-2259	330	10	the	the	DET
fumecheng-2259	330	11	influence	influence	NOUN
fumecheng-2259	330	12	of	of	ADP
fumecheng-2259	330	13	different	different	ADJ
fumecheng-2259	330	14	parameters	parameter	NOUN
fumecheng-2259	330	15	on	on	ADP
fumecheng-2259	330	16	the	the	DET
fumecheng-2259	330	17	natural	natural	ADJ
fumecheng-2259	330	18	frequency	frequency	NOUN
fumecheng-2259	330	19	,	,	PUNCT
fumecheng-2259	330	20	frequency	frequency	NOUN
fumecheng-2259	330	21	under	under	ADP
fumecheng-2259	330	22	the	the	DET
fumecheng-2259	330	23	compressive	compressive	ADJ
fumecheng-2259	330	24	axial	axial	ADJ
fumecheng-2259	330	25	loading	loading	NOUN
fumecheng-2259	330	26	,	,	PUNCT
fumecheng-2259	330	27	critical	critical	ADJ
fumecheng-2259	330	28	buckling	buckling	NOUN
fumecheng-2259	330	29	load	load	NOUN
fumecheng-2259	330	30	and	and	CCONJ
fumecheng-2259	330	31	critical	critical	ADJ
fumecheng-2259	330	32	temperature	temperature	NOUN
fumecheng-2259	330	33	of	of	ADP
fumecheng-2259	330	34	the	the	DET
fumecheng-2259	330	35	ebdmbs	ebdmb	NOUN
fumecheng-2259	330	36	with	with	ADP
fumecheng-2259	330	37	thermal	thermal	ADJ
fumecheng-2259	330	38	effect	effect	NOUN
fumecheng-2259	330	39	.	.	PUNCT
fumecheng-2259	331	1	4.1	4.1	NUM
fumecheng-2259	331	2	.	.	PUNCT
fumecheng-2259	331	3	temperature	temperature	NOUN
fumecheng-2259	331	4	and	and	CCONJ
fumecheng-2259	331	5	material	material	NOUN
fumecheng-2259	331	6	length	length	NOUN
fumecheng-2259	331	7	scale	scale	NOUN
fumecheng-2259	331	8	parameter	parameter	NOUN
fumecheng-2259	331	9	effect	effect	NOUN
fumecheng-2259	331	10	on	on	ADP
fumecheng-2259	331	11	the	the	DET
fumecheng-2259	331	12	phase	phase	NOUN
fumecheng-2259	331	13	vibration	vibration	NOUN
fumecheng-2259	331	14	modes	mode	NOUN
fumecheng-2259	331	15	and	and	CCONJ
fumecheng-2259	331	16	phase	phase	NOUN
fumecheng-2259	331	17	buckling	buckling	NOUN
fumecheng-2259	331	18	of	of	ADP
fumecheng-2259	331	19	the	the	DET
fumecheng-2259	331	20	ebdmbs	ebdmb	NOUN
fumecheng-2259	331	21	the	the	DET
fumecheng-2259	331	22	frequency	frequency	NOUN
fumecheng-2259	331	23	results	result	NOUN
fumecheng-2259	331	24	of	of	ADP
fumecheng-2259	331	25	the	the	DET
fumecheng-2259	331	26	ebdmbs	ebdmb	NOUN
fumecheng-2259	331	27	are	be	AUX
fumecheng-2259	331	28	presented	present	VERB
fumecheng-2259	331	29	in	in	ADP
fumecheng-2259	331	30	terms	term	NOUN
fumecheng-2259	331	31	of	of	ADP
fumecheng-2259	331	32	the	the	DET
fumecheng-2259	331	33	frequency	frequency	NOUN
fumecheng-2259	331	34	parameters	parameter	NOUN
fumecheng-2259	331	35	for	for	ADP
fumecheng-2259	331	36	out	out	ADV
fumecheng-2259	331	37	-	-	PUNCT
fumecheng-2259	331	38	of	of	ADP
fumecheng-2259	331	39	-	-	PUNCT
fumecheng-2259	331	40	phase	phase	NOUN
fumecheng-2259	331	41	in	in	ADP
fumecheng-2259	331	42	eq	eq	ADP
fumecheng-2259	331	43	.	.	PUNCT
fumecheng-2259	332	1	(	(	PUNCT
fumecheng-2259	332	2	51	51	NUM
fumecheng-2259	332	3	)	)	PUNCT
fumecheng-2259	332	4	and	and	CCONJ
fumecheng-2259	332	5	in	in	ADP
fumecheng-2259	332	6	phase	phase	NOUN
fumecheng-2259	332	7	vibration	vibration	NOUN
fumecheng-2259	332	8	mode	mode	NOUN
fumecheng-2259	332	9	in	in	ADP
fumecheng-2259	332	10	eq	eq	PROPN
fumecheng-2259	332	11	.	.	PUNCT
fumecheng-2259	333	1	(	(	PUNCT
fumecheng-2259	333	2	53).variation	53).variation	NUM
fumecheng-2259	333	3	in	in	ADP
fumecheng-2259	333	4	frequency	frequency	NOUN
fumecheng-2259	333	5	parameter	parameter	NOUN
fumecheng-2259	333	6	ωn	ωn	ADP
fumecheng-2259	333	7	with	with	ADP
fumecheng-2259	333	8	material	material	NOUN
fumecheng-2259	333	9	length	length	NOUN
fumecheng-2259	333	10	scale	scale	NOUN
fumecheng-2259	333	11	parameter	parameter	PROPN
fumecheng-2259	333	12	l0	l0	PROPN
fumecheng-2259	333	13	,	,	PUNCT
fumecheng-2259	333	14	for	for	ADP
fumecheng-2259	333	15	different	different	ADJ
fumecheng-2259	333	16	phase	phase	NOUN
fumecheng-2259	333	17	vibration	vibration	NOUN
fumecheng-2259	333	18	due	due	ADP
fumecheng-2259	333	19	to	to	ADP
fumecheng-2259	333	20	temperature	temperature	NOUN
fumecheng-2259	333	21	change	change	NOUN
fumecheng-2259	333	22	is	be	AUX
fumecheng-2259	333	23	shown	show	VERB
fumecheng-2259	333	24	in	in	ADP
fumecheng-2259	333	25	fig	fig	NOUN
fumecheng-2259	333	26	.	.	PUNCT
fumecheng-2259	334	1	4	4	X
fumecheng-2259	334	2	.	.	X
fumecheng-2259	334	3	for	for	ADP
fumecheng-2259	334	4	the	the	DET
fumecheng-2259	334	5	winkler	winkler	NOUN
fumecheng-2259	334	6	and	and	CCONJ
fumecheng-2259	334	7	pasternak	pasternak	PROPN
fumecheng-2259	334	8	parameter	parameter	NOUN
fumecheng-2259	334	9	we	we	PRON
fumecheng-2259	334	10	used	use	VERB
fumecheng-2259	334	11	constant	constant	ADJ
fumecheng-2259	334	12	values	value	NOUN
fumecheng-2259	334	13	of	of	ADP
fumecheng-2259	334	14	kw=10	kw=10	PROPN
fumecheng-2259	334	15	and	and	CCONJ
fumecheng-2259	334	16	kp=0.1	kp=0.1	PROPN
fumecheng-2259	334	17	,	,	PUNCT
fumecheng-2259	334	18	while	while	SCONJ
fumecheng-2259	334	19	for	for	ADP
fumecheng-2259	334	20	the	the	DET
fumecheng-2259	334	21	temperature	temperature	NOUN
fumecheng-2259	334	22	change	change	NOUN
fumecheng-2259	334	23	we	we	PRON
fumecheng-2259	334	24	used	use	VERB
fumecheng-2259	334	25	two	two	NUM
fumecheng-2259	334	26	different	different	ADJ
fumecheng-2259	334	27	values	value	NOUN
fumecheng-2259	334	28	δt=50	δt=50	ADJ
fumecheng-2259	334	29	◦	◦	NOUN
fumecheng-2259	334	30	c	c	PROPN
fumecheng-2259	334	31	and	and	CCONJ
fumecheng-2259	334	32	δt=100	δt=100	PROPN
fumecheng-2259	334	33	◦	◦	PROPN
fumecheng-2259	334	34	c.	c.	NOUN
fumecheng-2259	334	35	it	it	PRON
fumecheng-2259	334	36	can	can	AUX
fumecheng-2259	334	37	be	be	AUX
fumecheng-2259	334	38	noticed	notice	VERB
fumecheng-2259	334	39	from	from	ADP
fumecheng-2259	334	40	fig	fig	NOUN
fumecheng-2259	334	41	.	.	PUNCT
fumecheng-2259	335	1	4	4	NUM
fumecheng-2259	335	2	that	that	PRON
fumecheng-2259	335	3	with	with	ADP
fumecheng-2259	335	4	increasing	increase	VERB
fumecheng-2259	335	5	material	material	NOUN
fumecheng-2259	335	6	length	length	NOUN
fumecheng-2259	335	7	scale	scale	NOUN
fumecheng-2259	335	8	parameter	parameter	PROPN
fumecheng-2259	335	9	l0	l0	PROPN
fumecheng-2259	335	10	,	,	PUNCT
fumecheng-2259	335	11	frequency	frequency	NOUN
fumecheng-2259	335	12	parameter	parameter	NOUN
fumecheng-2259	335	13	ωn	ωn	PART
fumecheng-2259	335	14	also	also	ADV
fumecheng-2259	335	15	increases	increase	VERB
fumecheng-2259	335	16	for	for	ADP
fumecheng-2259	335	17	both	both	DET
fumecheng-2259	335	18	considered	consider	VERB
fumecheng-2259	335	19	cases	case	NOUN
fumecheng-2259	335	20	of	of	ADP
fumecheng-2259	335	21	phase	phase	NOUN
fumecheng-2259	335	22	vibration	vibration	NOUN
fumecheng-2259	335	23	.	.	PUNCT
fumecheng-2259	336	1	frequency	frequency	NOUN
fumecheng-2259	336	2	parameter	parameter	NOUN
fumecheng-2259	336	3	ωn	ωn	ADP
fumecheng-2259	336	4	decreases	decrease	NOUN
fumecheng-2259	336	5	as	as	SCONJ
fumecheng-2259	336	6	the	the	DET
fumecheng-2259	336	7	temperature	temperature	NOUN
fumecheng-2259	336	8	effect	effect	NOUN
fumecheng-2259	336	9	increases	increase	VERB
fumecheng-2259	336	10	for	for	ADP
fumecheng-2259	336	11	both	both	DET
fumecheng-2259	336	12	considered	consider	VERB
fumecheng-2259	336	13	cases	case	NOUN
fumecheng-2259	336	14	of	of	ADP
fumecheng-2259	336	15	phase	phase	NOUN
fumecheng-2259	336	16	vibration	vibration	NOUN
fumecheng-2259	336	17	.	.	PUNCT
fumecheng-2259	337	1	the	the	DET
fumecheng-2259	337	2	buckling	buckle	VERB
fumecheng-2259	337	3	state	state	NOUN
fumecheng-2259	337	4	results	result	NOUN
fumecheng-2259	337	5	of	of	ADP
fumecheng-2259	337	6	the	the	DET
fumecheng-2259	337	7	ebdmbs	ebdmb	NOUN
fumecheng-2259	337	8	are	be	AUX
fumecheng-2259	337	9	presented	present	VERB
fumecheng-2259	337	10	in	in	ADP
fumecheng-2259	337	11	terms	term	NOUN
fumecheng-2259	337	12	of	of	ADP
fumecheng-2259	337	13	the	the	DET
fumecheng-2259	337	14	buckling	buckle	VERB
fumecheng-2259	337	15	parameters	parameter	NOUN
fumecheng-2259	337	16	for	for	ADP
fumecheng-2259	337	17	out	out	ADV
fumecheng-2259	337	18	-	-	PUNCT
fumecheng-2259	337	19	of	of	ADP
fumecheng-2259	337	20	-	-	PUNCT
fumecheng-2259	337	21	phase	phase	NOUN
fumecheng-2259	337	22	in	in	ADP
fumecheng-2259	337	23	eq	eq	ADP
fumecheng-2259	337	24	.	.	PUNCT
fumecheng-2259	338	1	(	(	PUNCT
fumecheng-2259	338	2	52	52	NUM
fumecheng-2259	338	3	)	)	PUNCT
fumecheng-2259	338	4	and	and	CCONJ
fumecheng-2259	338	5	in	in	ADP
fumecheng-2259	338	6	phase	phase	NOUN
fumecheng-2259	338	7	buckling	buckle	VERB
fumecheng-2259	338	8	in	in	ADP
fumecheng-2259	338	9	eq	eq	ADP
fumecheng-2259	338	10	.	.	PUNCT
fumecheng-2259	339	1	(	(	PUNCT
fumecheng-2259	339	2	54	54	NUM
fumecheng-2259	339	3	)	)	PUNCT
fumecheng-2259	339	4	.	.	PUNCT
fumecheng-2259	340	1	material	material	NOUN
fumecheng-2259	340	2	length	length	NOUN
fumecheng-2259	340	3	scale	scale	NOUN
fumecheng-2259	340	4	parameter	parameter	NOUN
fumecheng-2259	340	5	(	(	PUNCT
fumecheng-2259	340	6	l0	l0	PROPN
fumecheng-2259	340	7	)	)	PUNCT
fumecheng-2259	340	8	on	on	ADP
fumecheng-2259	340	9	buckling	buckle	VERB
fumecheng-2259	340	10	parameter	parameter	NOUN
fumecheng-2259	340	11	fn	fn	NOUN
fumecheng-2259	340	12	for	for	ADP
fumecheng-2259	340	13	the	the	DET
fumecheng-2259	340	14	different	different	ADJ
fumecheng-2259	340	15	phase	phase	NOUN
fumecheng-2259	340	16	buckling	buckle	VERB
fumecheng-2259	340	17	due	due	ADP
fumecheng-2259	340	18	to	to	ADP
fumecheng-2259	340	19	temperature	temperature	NOUN
fumecheng-2259	340	20	change	change	NOUN
fumecheng-2259	340	21	is	be	AUX
fumecheng-2259	340	22	shown	show	VERB
fumecheng-2259	340	23	in	in	ADP
fumecheng-2259	340	24	fig	fig	NOUN
fumecheng-2259	340	25	.	.	PUNCT
fumecheng-2259	341	1	5	5	X
fumecheng-2259	341	2	.	.	X
fumecheng-2259	341	3	also	also	ADV
fumecheng-2259	341	4	,	,	PUNCT
fumecheng-2259	341	5	it	it	PRON
fumecheng-2259	341	6	can	can	AUX
fumecheng-2259	341	7	be	be	AUX
fumecheng-2259	341	8	seen	see	VERB
fumecheng-2259	341	9	that	that	SCONJ
fumecheng-2259	341	10	as	as	ADP
fumecheng-2259	341	11	material	material	NOUN
fumecheng-2259	341	12	length	length	NOUN
fumecheng-2259	341	13	scale	scale	NOUN
fumecheng-2259	341	14	parameter	parameter	NOUN
fumecheng-2259	341	15	l0	l0	NOUN
fumecheng-2259	341	16	increases	increase	NOUN
fumecheng-2259	341	17	,	,	PUNCT
fumecheng-2259	341	18	buckling	buckle	VERB
fumecheng-2259	341	19	parameter	parameter	NOUN
fumecheng-2259	341	20	fn	fn	NOUN
fumecheng-2259	341	21	also	also	ADV
fumecheng-2259	341	22	increases	increase	VERB
fumecheng-2259	341	23	for	for	ADP
fumecheng-2259	341	24	both	both	DET
fumecheng-2259	341	25	considered	consider	VERB
fumecheng-2259	341	26	cases	case	NOUN
fumecheng-2259	341	27	of	of	ADP
fumecheng-2259	341	28	phase	phase	NOUN
fumecheng-2259	341	29	buckling	buckling	NOUN
fumecheng-2259	341	30	.	.	PUNCT
fumecheng-2259	342	1	buckling	buckle	VERB
fumecheng-2259	342	2	parameter	parameter	NOUN
fumecheng-2259	342	3	fn	fn	NOUN
fumecheng-2259	342	4	decreases	decrease	NOUN
fumecheng-2259	342	5	as	as	SCONJ
fumecheng-2259	342	6	the	the	DET
fumecheng-2259	342	7	temperature	temperature	NOUN
fumecheng-2259	342	8	effect	effect	NOUN
fumecheng-2259	342	9	increases	increase	VERB
fumecheng-2259	342	10	for	for	ADP
fumecheng-2259	342	11	both	both	DET
fumecheng-2259	342	12	considered	consider	VERB
fumecheng-2259	342	13	cases	case	NOUN
fumecheng-2259	342	14	of	of	ADP
fumecheng-2259	342	15	phase	phase	NOUN
fumecheng-2259	342	16	buckling	buckling	NOUN
fumecheng-2259	342	17	.	.	PUNCT
fumecheng-2259	343	1	fig	fig	NOUN
fumecheng-2259	343	2	.	.	PUNCT
fumecheng-2259	344	1	4	4	NUM
fumecheng-2259	344	2	variation	variation	NOUN
fumecheng-2259	344	3	in	in	ADP
fumecheng-2259	344	4	frequency	frequency	NOUN
fumecheng-2259	344	5	parameter	parameter	NOUN
fumecheng-2259	344	6	ωn	ωn	ADP
fumecheng-2259	344	7	with	with	ADP
fumecheng-2259	344	8	material	material	NOUN
fumecheng-2259	344	9	length	length	NOUN
fumecheng-2259	344	10	scale	scale	NOUN
fumecheng-2259	344	11	parameter	parameter	NOUN
fumecheng-2259	344	12	(	(	PUNCT
fumecheng-2259	344	13	l0	l0	PROPN
fumecheng-2259	344	14	)	)	PUNCT
fumecheng-2259	344	15	for	for	ADP
fumecheng-2259	344	16	different	different	ADJ
fumecheng-2259	344	17	phase	phase	NOUN
fumecheng-2259	344	18	vibrations	vibration	NOUN
fumecheng-2259	344	19	due	due	ADP
fumecheng-2259	344	20	to	to	ADP
fumecheng-2259	344	21	temperature	temperature	NOUN
fumecheng-2259	344	22	change	change	NOUN
fumecheng-2259	344	23	56	56	NUM
fumecheng-2259	344	24	m.	m.	NOUN
fumecheng-2259	344	25	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	344	26	atanasov	atanasov	NOUN
fumecheng-2259	344	27	,	,	PUNCT
fumecheng-2259	344	28	d.	d.	PROPN
fumecheng-2259	344	29	karliţiš	karliţiš	PROPN
fumecheng-2259	344	30	,	,	PUNCT
fumecheng-2259	344	31	p.	p.	PROPN
fumecheng-2259	344	32	koziš	koziš	PROPN
fumecheng-2259	344	33	,	,	PUNCT
fumecheng-2259	344	34	g.	g.	PROPN
fumecheng-2259	344	35	janevski	janevski	PROPN
fumecheng-2259	344	36	fig	fig	PROPN
fumecheng-2259	344	37	.	.	PUNCT
fumecheng-2259	345	1	5	5	NUM
fumecheng-2259	345	2	material	material	NOUN
fumecheng-2259	345	3	length	length	NOUN
fumecheng-2259	345	4	scale	scale	NOUN
fumecheng-2259	345	5	parameter	parameter	NOUN
fumecheng-2259	345	6	(	(	PUNCT
fumecheng-2259	345	7	l0	l0	PROPN
fumecheng-2259	345	8	)	)	PUNCT
fumecheng-2259	345	9	on	on	ADP
fumecheng-2259	345	10	buckling	buckle	VERB
fumecheng-2259	345	11	parameter	parameter	NOUN
fumecheng-2259	345	12	fn	fn	NOUN
fumecheng-2259	345	13	for	for	ADP
fumecheng-2259	345	14	the	the	DET
fumecheng-2259	345	15	different	different	ADJ
fumecheng-2259	345	16	phase	phase	NOUN
fumecheng-2259	345	17	buckling	buckle	VERB
fumecheng-2259	345	18	due	due	ADP
fumecheng-2259	345	19	to	to	ADP
fumecheng-2259	345	20	temperature	temperature	NOUN
fumecheng-2259	345	21	change	change	NOUN
fumecheng-2259	345	22	4.2	4.2	NUM
fumecheng-2259	345	23	.	.	PUNCT
fumecheng-2259	346	1	thermal	thermal	ADJ
fumecheng-2259	346	2	effect	effect	NOUN
fumecheng-2259	346	3	on	on	ADP
fumecheng-2259	346	4	the	the	DET
fumecheng-2259	346	5	natural	natural	ADJ
fumecheng-2259	346	6	frequency	frequency	NOUN
fumecheng-2259	346	7	of	of	ADP
fumecheng-2259	346	8	the	the	DET
fumecheng-2259	346	9	ebdmbs	ebdmb	NOUN
fumecheng-2259	346	10	it	it	PRON
fumecheng-2259	346	11	is	be	AUX
fumecheng-2259	346	12	commonly	commonly	ADV
fumecheng-2259	346	13	known	know	VERB
fumecheng-2259	346	14	that	that	SCONJ
fumecheng-2259	346	15	the	the	DET
fumecheng-2259	346	16	lowest	low	ADJ
fumecheng-2259	346	17	natural	natural	ADJ
fumecheng-2259	346	18	frequency	frequency	NOUN
fumecheng-2259	346	19	and	and	CCONJ
fumecheng-2259	346	20	buckling	buckling	NOUN
fumecheng-2259	346	21	load	load	NOUN
fumecheng-2259	346	22	of	of	ADP
fumecheng-2259	346	23	systems	system	NOUN
fumecheng-2259	346	24	of	of	ADP
fumecheng-2259	346	25	a	a	DET
fumecheng-2259	346	26	larger	large	ADJ
fumecheng-2259	346	27	number	number	NOUN
fumecheng-2259	346	28	of	of	ADP
fumecheng-2259	346	29	coupled	couple	VERB
fumecheng-2259	346	30	nano	nano	NOUN
fumecheng-2259	346	31	/	/	SYM
fumecheng-2259	346	32	micro	micro	NOUN
fumecheng-2259	346	33	structures	structure	NOUN
fumecheng-2259	346	34	correspond	correspond	VERB
fumecheng-2259	346	35	to	to	ADP
fumecheng-2259	346	36	the	the	DET
fumecheng-2259	346	37	natural	natural	ADJ
fumecheng-2259	346	38	frequency	frequency	NOUN
fumecheng-2259	346	39	and	and	CCONJ
fumecheng-2259	346	40	buckling	buckling	NOUN
fumecheng-2259	346	41	load	load	NOUN
fumecheng-2259	346	42	of	of	ADP
fumecheng-2259	346	43	one	one	NUM
fumecheng-2259	346	44	beam	beam	NOUN
fumecheng-2259	346	45	or	or	CCONJ
fumecheng-2259	346	46	plate	plate	NOUN
fumecheng-2259	346	47	,	,	PUNCT
fumecheng-2259	346	48	see	see	VERB
fumecheng-2259	346	49	karliţiš	karliţiš	PROPN
fumecheng-2259	346	50	et	et	PROPN
fumecheng-2259	346	51	al	al	PROPN
fumecheng-2259	346	52	.	.	PUNCT
fumecheng-2259	347	1	[	[	X
fumecheng-2259	347	2	31	31	NUM
fumecheng-2259	347	3	]	]	PUNCT
fumecheng-2259	347	4	.	.	PUNCT
fumecheng-2259	348	1	in	in	ADP
fumecheng-2259	348	2	this	this	DET
fumecheng-2259	348	3	paper	paper	NOUN
fumecheng-2259	348	4	,	,	PUNCT
fumecheng-2259	348	5	the	the	DET
fumecheng-2259	348	6	results	result	NOUN
fumecheng-2259	348	7	for	for	ADP
fumecheng-2259	348	8	the	the	DET
fumecheng-2259	348	9	lowest	low	ADJ
fumecheng-2259	348	10	natural	natural	ADJ
fumecheng-2259	348	11	frequency	frequency	NOUN
fumecheng-2259	348	12	and	and	CCONJ
fumecheng-2259	348	13	critical	critical	ADJ
fumecheng-2259	348	14	buckling	buckling	NOUN
fumecheng-2259	348	15	load	load	NOUN
fumecheng-2259	348	16	of	of	ADP
fumecheng-2259	348	17	the	the	DET
fumecheng-2259	348	18	ebdmbs	ebdmb	NOUN
fumecheng-2259	348	19	may	may	AUX
fumecheng-2259	348	20	be	be	AUX
fumecheng-2259	348	21	compared	compare	VERB
fumecheng-2259	348	22	with	with	ADP
fumecheng-2259	348	23	those	those	PRON
fumecheng-2259	348	24	obtained	obtain	VERB
fumecheng-2259	348	25	for	for	ADP
fumecheng-2259	348	26	a	a	DET
fumecheng-2259	348	27	microbeam	microbeam	NOUN
fumecheng-2259	348	28	one	one	NUM
fumecheng-2259	348	29	,	,	PUNCT
fumecheng-2259	348	30	presented	present	VERB
fumecheng-2259	348	31	in	in	ADP
fumecheng-2259	348	32	ke	ke	PROPN
fumecheng-2259	348	33	et	et	PROPN
fumecheng-2259	348	34	al	al	PROPN
fumecheng-2259	348	35	.	.	PUNCT
fumecheng-2259	349	1	[	[	X
fumecheng-2259	349	2	24	24	NUM
fumecheng-2259	349	3	]	]	PUNCT
fumecheng-2259	349	4	and	and	CCONJ
fumecheng-2259	349	5	ma	ma	PROPN
fumecheng-2259	349	6	et	et	PROPN
fumecheng-2259	349	7	al	al	PROPN
fumecheng-2259	349	8	.	.	PUNCT
fumecheng-2259	350	1	[	[	X
fumecheng-2259	350	2	19	19	NUM
fumecheng-2259	350	3	]	]	PUNCT
fumecheng-2259	350	4	.	.	PUNCT
fumecheng-2259	351	1	in	in	ADP
fumecheng-2259	351	2	order	order	NOUN
fumecheng-2259	351	3	to	to	PART
fumecheng-2259	351	4	confirm	confirm	VERB
fumecheng-2259	351	5	the	the	DET
fumecheng-2259	351	6	present	present	ADJ
fumecheng-2259	351	7	analytical	analytical	ADJ
fumecheng-2259	351	8	method	method	NOUN
fumecheng-2259	351	9	,	,	PUNCT
fumecheng-2259	351	10	table	table	NOUN
fumecheng-2259	351	11	1	1	NUM
fumecheng-2259	351	12	shows	show	VERB
fumecheng-2259	351	13	a	a	DET
fumecheng-2259	351	14	comparison	comparison	NOUN
fumecheng-2259	351	15	of	of	ADP
fumecheng-2259	351	16	thermal	thermal	ADJ
fumecheng-2259	351	17	effect	effect	NOUN
fumecheng-2259	351	18	on	on	ADP
fumecheng-2259	351	19	the	the	DET
fumecheng-2259	351	20	dimensionless	dimensionless	ADJ
fumecheng-2259	351	21	natural	natural	ADJ
fumecheng-2259	351	22	frequency	frequency	NOUN
fumecheng-2259	351	23	of	of	ADP
fumecheng-2259	351	24	the	the	DET
fumecheng-2259	351	25	system	system	NOUN
fumecheng-2259	351	26	from	from	ADP
fumecheng-2259	351	27	eq	eq	PROPN
fumecheng-2259	351	28	.	.	PUNCT
fumecheng-2259	352	1	(	(	PUNCT
fumecheng-2259	352	2	31	31	NUM
fumecheng-2259	352	3	)	)	PUNCT
fumecheng-2259	352	4	for	for	ADP
fumecheng-2259	352	5	the	the	DET
fumecheng-2259	352	6	first	first	ADJ
fumecheng-2259	352	7	three	three	NUM
fumecheng-2259	352	8	modes	mode	NOUN
fumecheng-2259	352	9	with	with	ADP
fumecheng-2259	352	10	results	result	NOUN
fumecheng-2259	352	11	ke	ke	VERB
fumecheng-2259	352	12	et	et	NOUN
fumecheng-2259	352	13	al	al	PROPN
fumecheng-2259	353	1	[	[	X
fumecheng-2259	353	2	24	24	NUM
fumecheng-2259	353	3	]	]	PUNCT
fumecheng-2259	353	4	.	.	PUNCT
fumecheng-2259	354	1	perfect	perfect	ADJ
fumecheng-2259	354	2	agreement	agreement	NOUN
fumecheng-2259	354	3	between	between	ADP
fumecheng-2259	354	4	the	the	DET
fumecheng-2259	354	5	present	present	ADJ
fumecheng-2259	354	6	frequencies	frequency	NOUN
fumecheng-2259	354	7	and	and	CCONJ
fumecheng-2259	354	8	those	those	PRON
fumecheng-2259	354	9	of	of	ADP
fumecheng-2259	354	10	ke	ke	PROPN
fumecheng-2259	354	11	et	et	PROPN
fumecheng-2259	354	12	al	al	PROPN
fumecheng-2259	354	13	.	.	PUNCT
fumecheng-2259	355	1	[	[	X
fumecheng-2259	355	2	24	24	NUM
fumecheng-2259	355	3	]	]	PUNCT
fumecheng-2259	355	4	can	can	AUX
fumecheng-2259	355	5	be	be	AUX
fumecheng-2259	355	6	observed	observe	VERB
fumecheng-2259	355	7	from	from	ADP
fumecheng-2259	355	8	table	table	NOUN
fumecheng-2259	355	9	1	1	NUM
fumecheng-2259	355	10	.	.	PUNCT
fumecheng-2259	356	1	it	it	PRON
fumecheng-2259	356	2	is	be	AUX
fumecheng-2259	356	3	shown	show	VERB
fumecheng-2259	356	4	that	that	SCONJ
fumecheng-2259	356	5	the	the	DET
fumecheng-2259	356	6	inclusion	inclusion	NOUN
fumecheng-2259	356	7	of	of	ADP
fumecheng-2259	356	8	the	the	DET
fumecheng-2259	356	9	thermal	thermal	ADJ
fumecheng-2259	356	10	effect	effect	NOUN
fumecheng-2259	356	11	decreases	decrease	VERB
fumecheng-2259	356	12	the	the	DET
fumecheng-2259	356	13	frequencies	frequency	NOUN
fumecheng-2259	356	14	of	of	ADP
fumecheng-2259	356	15	the	the	DET
fumecheng-2259	356	16	microbeam	microbeam	NOUN
fumecheng-2259	356	17	one	one	NUM
fumecheng-2259	356	18	.	.	PUNCT
fumecheng-2259	357	1	it	it	PRON
fumecheng-2259	357	2	is	be	AUX
fumecheng-2259	357	3	seen	see	VERB
fumecheng-2259	357	4	that	that	SCONJ
fumecheng-2259	357	5	the	the	DET
fumecheng-2259	357	6	effect	effect	NOUN
fumecheng-2259	357	7	of	of	ADP
fumecheng-2259	357	8	pasternak	pasternak	PROPN
fumecheng-2259	357	9	parameter	parameter	PROPN
fumecheng-2259	357	10	kp=0.01	kp=0.01	PROPN
fumecheng-2259	357	11	,	,	PUNCT
fumecheng-2259	357	12	for	for	ADP
fumecheng-2259	357	13	a	a	DET
fumecheng-2259	357	14	greater	great	ADJ
fumecheng-2259	357	15	mode	mode	NOUN
fumecheng-2259	357	16	,	,	PUNCT
fumecheng-2259	357	17	leads	lead	VERB
fumecheng-2259	357	18	to	to	ADP
fumecheng-2259	357	19	an	an	DET
fumecheng-2259	357	20	increase	increase	NOUN
fumecheng-2259	357	21	in	in	ADP
fumecheng-2259	357	22	natural	natural	ADJ
fumecheng-2259	357	23	frequencies	frequency	NOUN
fumecheng-2259	357	24	.	.	PUNCT
fumecheng-2259	358	1	table	table	NOUN
fumecheng-2259	358	2	1	1	NUM
fumecheng-2259	358	3	thermal	thermal	ADJ
fumecheng-2259	358	4	effect	effect	NOUN
fumecheng-2259	358	5	on	on	ADP
fumecheng-2259	358	6	the	the	DET
fumecheng-2259	358	7	dimensionless	dimensionless	ADJ
fumecheng-2259	358	8	natural	natural	ADJ
fumecheng-2259	358	9	frequencies	frequency	NOUN
fumecheng-2259	358	10	for	for	ADP
fumecheng-2259	358	11	the	the	DET
fumecheng-2259	358	12	three	three	NUM
fumecheng-2259	358	13	modes	mode	NOUN
fumecheng-2259	358	14	of	of	ADP
fumecheng-2259	358	15	the	the	DET
fumecheng-2259	358	16	microbeams	microbeam	NOUN
fumecheng-2259	358	17	with	with	ADP
fumecheng-2259	358	18	h	h	NOUN
fumecheng-2259	358	19	/	/	SYM
fumecheng-2259	358	20	l=2	l=2	ADJ
fumecheng-2259	358	21	mode	mode	NOUN
fumecheng-2259	358	22	(	(	PUNCT
fumecheng-2259	358	23	)	)	PUNCT
fumecheng-2259	358	24	t	t	PROPN
fumecheng-2259	358	25	c	c	NOUN
fumecheng-2259	358	26	n=1	n=1	PROPN
fumecheng-2259	358	27	n=2	n=2	ADV
fumecheng-2259	358	28	n=3	n=3	PUNCT
fumecheng-2259	358	29	n=1	n=1	ADP
fumecheng-2259	358	30	n=2	n=2	ADV
fumecheng-2259	358	31	n=3	n=3	PUNCT
fumecheng-2259	358	32	n=1	n=1	ADP
fumecheng-2259	358	33	n=2	n=2	PRON
fumecheng-2259	358	34	n=3	n=3	PUNCT
fumecheng-2259	358	35	ke	ke	NOUN
fumecheng-2259	358	36	et	et	NOUN
fumecheng-2259	358	37	al.[24	al.[24	NOUN
fumecheng-2259	358	38	]	]	PUNCT
fumecheng-2259	358	39	present	present	ADJ
fumecheng-2259	358	40	study	study	NOUN
fumecheng-2259	358	41	for	for	ADP
fumecheng-2259	358	42	0pk	0pk	ADJ
fumecheng-2259	358	43	present	present	ADJ
fumecheng-2259	358	44	study	study	NOUN
fumecheng-2259	358	45	for	for	ADP
fumecheng-2259	358	46	01.0pk	01.0pk	NUM
fumecheng-2259	358	47	0	0	NUM
fumecheng-2259	358	48	20	20	NUM
fumecheng-2259	358	49	40	40	NUM
fumecheng-2259	358	50	60	60	NUM
fumecheng-2259	358	51	80	80	NUM
fumecheng-2259	358	52	100	100	NUM
fumecheng-2259	358	53	0.3478	0.3478	NUM
fumecheng-2259	359	1	0.3322	0.3322	NUM
fumecheng-2259	359	2	0.3159	0.3159	NUM
fumecheng-2259	359	3	0.2986	0.2986	NUM
fumecheng-2259	359	4	0.2804	0.2804	NUM
fumecheng-2259	359	5	0.2608	0.2608	NUM
fumecheng-2259	359	6	1.2890	1.2890	NUM
fumecheng-2259	359	7	1.2727	1.2727	NUM
fumecheng-2259	359	8	1.2562	1.2562	NUM
fumecheng-2259	359	9	1.2394	1.2394	NUM
fumecheng-2259	359	10	1.2225	1.2225	NUM
fumecheng-2259	359	11	1.2053	1.2053	NUM
fumecheng-2259	359	12	2.6277	2.6277	NUM
fumecheng-2259	359	13	2.6099	2.6099	NUM
fumecheng-2259	359	14	2.5920	2.5920	NUM
fumecheng-2259	359	15	2.5739	2.5739	NUM
fumecheng-2259	359	16	2.5558	2.5558	NUM
fumecheng-2259	359	17	2.5374	2.5374	NUM
fumecheng-2259	359	18	0.3582	0.3582	NUM
fumecheng-2259	359	19	0.3429	0.3429	NUM
fumecheng-2259	359	20	0.3271	0.3271	NUM
fumecheng-2259	359	21	0.3104	0.3104	NUM
fumecheng-2259	360	1	0.2927	0.2927	NUM
fumecheng-2259	360	2	0.2739	0.2739	NUM
fumecheng-2259	360	3	1.4328	1.4328	NUM
fumecheng-2259	360	4	1.4178	1.4178	NUM
fumecheng-2259	360	5	1.4027	1.4027	NUM
fumecheng-2259	360	6	1.3875	1.3875	NUM
fumecheng-2259	360	7	1.3719	1.3719	NUM
fumecheng-2259	360	8	1.3563	1.3563	NUM
fumecheng-2259	360	9	3.2238	3.2238	NUM
fumecheng-2259	360	10	3.2089	3.2089	NUM
fumecheng-2259	360	11	3.1939	3.1939	NUM
fumecheng-2259	360	12	3.1788	3.1788	NUM
fumecheng-2259	360	13	3.1637	3.1637	NUM
fumecheng-2259	360	14	3.1485	3.1485	NUM
fumecheng-2259	360	15	0.4764	0.4764	NUM
fumecheng-2259	360	16	0.4651	0.4651	NUM
fumecheng-2259	360	17	0.4535	0.4535	NUM
fumecheng-2259	360	18	0.4416	0.4416	NUM
fumecheng-2259	360	19	0.4294	0.4294	NUM
fumecheng-2259	360	20	0.4168	0.4168	NUM
fumecheng-2259	360	21	1.5645	1.5645	NUM
fumecheng-2259	360	22	1.5508	1.5508	NUM
fumecheng-2259	360	23	1.5370	1.5370	NUM
fumecheng-2259	360	24	1.5231	1.5231	NUM
fumecheng-2259	360	25	1.5090	1.5090	NUM
fumecheng-2259	360	26	1.4948	1.4948	NUM
fumecheng-2259	360	27	3.3588	3.3588	NUM
fumecheng-2259	360	28	3.3444	3.3444	NUM
fumecheng-2259	360	29	3.3300	3.3300	NUM
fumecheng-2259	360	30	3.3156	3.3156	NUM
fumecheng-2259	360	31	3.3011	3.3011	NUM
fumecheng-2259	360	32	3.2866	3.2866	NUM
fumecheng-2259	360	33	it	it	PRON
fumecheng-2259	360	34	can	can	AUX
fumecheng-2259	360	35	be	be	AUX
fumecheng-2259	360	36	seen	see	VERB
fumecheng-2259	360	37	from	from	ADP
fumecheng-2259	360	38	fig	fig	NOUN
fumecheng-2259	360	39	.	.	PUNCT
fumecheng-2259	361	1	6	6	NUM
fumecheng-2259	361	2	that	that	SCONJ
fumecheng-2259	361	3	the	the	DET
fumecheng-2259	361	4	natural	natural	ADJ
fumecheng-2259	361	5	frequency	frequency	NOUN
fumecheng-2259	361	6	with	with	ADP
fumecheng-2259	361	7	poisson	poisson	PROPN
fumecheng-2259	361	8	’s	’s	PART
fumecheng-2259	361	9	ratio	ratio	NOUN
fumecheng-2259	361	10	(	(	PUNCT
fumecheng-2259	361	11	i.e.	i.e.	X
fumecheng-2259	361	12	ν=0.38	ν=0.38	NOUN
fumecheng-2259	361	13	)	)	PUNCT
fumecheng-2259	361	14	,	,	PUNCT
fumecheng-2259	361	15	suggested	suggest	VERB
fumecheng-2259	361	16	by	by	ADP
fumecheng-2259	361	17	the	the	DET
fumecheng-2259	361	18	present	present	ADJ
fumecheng-2259	361	19	euler	euler	PROPN
fumecheng-2259	361	20	-	-	PUNCT
fumecheng-2259	361	21	bernoulli	bernoulli	PROPN
fumecheng-2259	361	22	beam	beam	NOUN
fumecheng-2259	361	23	model	model	NOUN
fumecheng-2259	361	24	is	be	AUX
fumecheng-2259	361	25	always	always	ADV
fumecheng-2259	361	26	higher	high	ADJ
fumecheng-2259	361	27	than	than	ADP
fumecheng-2259	361	28	that	that	PRON
fumecheng-2259	361	29	by	by	ADP
fumecheng-2259	361	30	poisson	poisson	PROPN
fumecheng-2259	361	31	’s	’s	PART
fumecheng-2259	361	32	ratio	ratio	NOUN
fumecheng-2259	361	33	ν=0	ν=0	PROPN
fumecheng-2259	361	34	.	.	PUNCT
fumecheng-2259	362	1	the	the	DET
fumecheng-2259	362	2	similar	similar	ADJ
fumecheng-2259	362	3	results	result	NOUN
fumecheng-2259	362	4	,	,	PUNCT
fumecheng-2259	362	5	merely	merely	ADV
fumecheng-2259	362	6	for	for	ADP
fumecheng-2259	362	7	a	a	DET
fumecheng-2259	362	8	timoshenko	timoshenko	ADJ
fumecheng-2259	362	9	beam	beam	NOUN
fumecheng-2259	362	10	,	,	PUNCT
fumecheng-2259	362	11	are	be	AUX
fumecheng-2259	362	12	presented	present	VERB
fumecheng-2259	362	13	by	by	ADP
fumecheng-2259	362	14	ma	ma	PROPN
fumecheng-2259	362	15	et	et	PROPN
fumecheng-2259	362	16	al	al	PROPN
fumecheng-2259	362	17	.	.	PUNCT
fumecheng-2259	363	1	[	[	X
fumecheng-2259	363	2	19	19	NUM
fumecheng-2259	363	3	]	]	PUNCT
fumecheng-2259	363	4	.	.	PUNCT
fumecheng-2259	364	1	we	we	PRON
fumecheng-2259	364	2	can	can	AUX
fumecheng-2259	364	3	conclude	conclude	VERB
fumecheng-2259	364	4	that	that	SCONJ
fumecheng-2259	364	5	there	there	PRON
fumecheng-2259	364	6	is	be	VERB
fumecheng-2259	364	7	perfect	perfect	ADJ
fumecheng-2259	364	8	agreement	agreement	NOUN
fumecheng-2259	364	9	between	between	ADP
fumecheng-2259	364	10	the	the	DET
fumecheng-2259	364	11	present	present	ADJ
fumecheng-2259	364	12	frequencies	frequency	NOUN
fumecheng-2259	364	13	and	and	CCONJ
fumecheng-2259	364	14	those	those	PRON
fumecheng-2259	364	15	of	of	ADP
fumecheng-2259	364	16	ma	ma	PROPN
fumecheng-2259	364	17	et	et	PROPN
fumecheng-2259	364	18	al	al	PROPN
fumecheng-2259	364	19	.	.	PUNCT
fumecheng-2259	365	1	[	[	X
fumecheng-2259	365	2	19	19	NUM
fumecheng-2259	365	3	]	]	X
fumecheng-2259	365	4	,	,	PUNCT
fumecheng-2259	365	5	when	when	SCONJ
fumecheng-2259	365	6	we	we	PRON
fumecheng-2259	365	7	ignore	ignore	VERB
fumecheng-2259	365	8	an	an	DET
fumecheng-2259	365	9	effect	effect	NOUN
fumecheng-2259	365	10	of	of	ADP
fumecheng-2259	365	11	the	the	DET
fumecheng-2259	365	12	elastic	elastic	ADJ
fumecheng-2259	365	13	medium	medium	NOUN
fumecheng-2259	365	14	,	,	PUNCT
fumecheng-2259	365	15	i.e.	i.e.	X
fumecheng-2259	365	16	kp=0	kp=0	PROPN
fumecheng-2259	365	17	and	and	CCONJ
fumecheng-2259	365	18	kw=0	kw=0	PROPN
fumecheng-2259	365	19	.	.	PUNCT
fumecheng-2259	366	1	thermal	thermal	ADJ
fumecheng-2259	366	2	effect	effect	NOUN
fumecheng-2259	366	3	on	on	ADP
fumecheng-2259	366	4	the	the	DET
fumecheng-2259	366	5	free	free	ADJ
fumecheng-2259	366	6	vibration	vibration	NOUN
fumecheng-2259	366	7	and	and	CCONJ
fumecheng-2259	366	8	buckling	buckling	NOUN
fumecheng-2259	366	9	of	of	ADP
fumecheng-2259	366	10	a	a	DET
fumecheng-2259	366	11	double	double	ADJ
fumecheng-2259	366	12	-	-	PUNCT
fumecheng-2259	366	13	microbeam	microbeam	NOUN
fumecheng-2259	366	14	system	system	NOUN
fumecheng-2259	366	15	57	57	NUM
fumecheng-2259	366	16	the	the	DET
fumecheng-2259	366	17	temperature	temperature	NOUN
fumecheng-2259	366	18	effect	effect	NOUN
fumecheng-2259	366	19	and	and	CCONJ
fumecheng-2259	366	20	the	the	DET
fumecheng-2259	366	21	pasternak	pasternak	NOUN
fumecheng-2259	366	22	’s	’s	PART
fumecheng-2259	366	23	parameter	parameter	NOUN
fumecheng-2259	366	24	on	on	ADP
fumecheng-2259	366	25	the	the	DET
fumecheng-2259	366	26	natural	natural	ADJ
fumecheng-2259	366	27	frequency	frequency	NOUN
fumecheng-2259	366	28	can	can	AUX
fumecheng-2259	366	29	also	also	ADV
fumecheng-2259	366	30	be	be	AUX
fumecheng-2259	366	31	noticed	notice	VERB
fumecheng-2259	366	32	in	in	ADP
fumecheng-2259	366	33	fig	fig	NOUN
fumecheng-2259	366	34	.	.	PUNCT
fumecheng-2259	367	1	6	6	NUM
fumecheng-2259	367	2	.	.	PUNCT
fumecheng-2259	367	3	the	the	DET
fumecheng-2259	367	4	natural	natural	ADJ
fumecheng-2259	367	5	frequency	frequency	NOUN
fumecheng-2259	367	6	decreases	decrease	VERB
fumecheng-2259	367	7	with	with	ADP
fumecheng-2259	367	8	temperature	temperature	NOUN
fumecheng-2259	367	9	effect	effect	NOUN
fumecheng-2259	367	10	,	,	PUNCT
fumecheng-2259	367	11	in	in	ADP
fumecheng-2259	367	12	this	this	DET
fumecheng-2259	367	13	case	case	NOUN
fumecheng-2259	367	14	100	100	NUM
fumecheng-2259	367	15	°	°	NOUN
fumecheng-2259	367	16	c	c	NOUN
fumecheng-2259	367	17	,	,	PUNCT
fumecheng-2259	367	18	for	for	ADP
fumecheng-2259	367	19	a	a	DET
fumecheng-2259	367	20	given	give	VERB
fumecheng-2259	367	21	value	value	NOUN
fumecheng-2259	367	22	of	of	ADP
fumecheng-2259	367	23	h	h	PROPN
fumecheng-2259	367	24	/	/	SYM
fumecheng-2259	367	25	l.	l.	PROPN
fumecheng-2259	367	26	it	it	PRON
fumecheng-2259	367	27	is	be	AUX
fumecheng-2259	367	28	noticed	notice	VERB
fumecheng-2259	367	29	that	that	SCONJ
fumecheng-2259	367	30	the	the	DET
fumecheng-2259	367	31	inclusion	inclusion	NOUN
fumecheng-2259	367	32	of	of	ADP
fumecheng-2259	367	33	the	the	DET
fumecheng-2259	367	34	constant	constant	ADJ
fumecheng-2259	367	35	values	value	NOUN
fumecheng-2259	367	36	of	of	ADP
fumecheng-2259	367	37	pasternak	pasternak	PROPN
fumecheng-2259	367	38	’s	’s	PART
fumecheng-2259	367	39	parameter	parameter	NOUN
fumecheng-2259	367	40	(	(	PUNCT
fumecheng-2259	367	41	kp=0.01	kp=0.01	PROPN
fumecheng-2259	367	42	)	)	PUNCT
fumecheng-2259	367	43	increases	increase	VERB
fumecheng-2259	367	44	the	the	DET
fumecheng-2259	367	45	natural	natural	ADJ
fumecheng-2259	367	46	frequency	frequency	NOUN
fumecheng-2259	367	47	of	of	ADP
fumecheng-2259	367	48	the	the	DET
fumecheng-2259	367	49	ebdmbs	ebdmb	NOUN
fumecheng-2259	367	50	.	.	PUNCT
fumecheng-2259	368	1	as	as	ADP
fumecheng-2259	368	2	a	a	DET
fumecheng-2259	368	3	significant	significant	ADJ
fumecheng-2259	368	4	result	result	NOUN
fumecheng-2259	368	5	,	,	PUNCT
fumecheng-2259	368	6	fig	fig	NOUN
fumecheng-2259	368	7	.	.	PUNCT
fumecheng-2259	369	1	6	6	NUM
fumecheng-2259	369	2	shows	show	VERB
fumecheng-2259	369	3	that	that	SCONJ
fumecheng-2259	369	4	the	the	DET
fumecheng-2259	369	5	increase	increase	NOUN
fumecheng-2259	369	6	in	in	ADP
fumecheng-2259	369	7	bending	bend	VERB
fumecheng-2259	369	8	rigidity	rigidity	NOUN
fumecheng-2259	369	9	is	be	AUX
fumecheng-2259	369	10	suggested	suggest	VERB
fumecheng-2259	369	11	by	by	ADP
fumecheng-2259	369	12	the	the	DET
fumecheng-2259	369	13	present	present	ADJ
fumecheng-2259	369	14	model	model	NOUN
fumecheng-2259	369	15	.	.	PUNCT
fumecheng-2259	370	1	also	also	ADV
fumecheng-2259	370	2	important	important	ADJ
fumecheng-2259	370	3	is	be	AUX
fumecheng-2259	370	4	that	that	SCONJ
fumecheng-2259	370	5	the	the	DET
fumecheng-2259	370	6	difference	difference	NOUN
fumecheng-2259	370	7	between	between	ADP
fumecheng-2259	370	8	the	the	DET
fumecheng-2259	370	9	natural	natural	ADJ
fumecheng-2259	370	10	frequency	frequency	NOUN
fumecheng-2259	370	11	with	with	ADP
fumecheng-2259	370	12	the	the	DET
fumecheng-2259	370	13	poisson	poisson	NOUN
fumecheng-2259	370	14	’s	’s	PART
fumecheng-2259	370	15	ratio	ratio	NOUN
fumecheng-2259	370	16	and	and	CCONJ
fumecheng-2259	370	17	the	the	DET
fumecheng-2259	370	18	one	one	NOUN
fumecheng-2259	370	19	without	without	ADP
fumecheng-2259	370	20	it	it	PRON
fumecheng-2259	370	21	is	be	AUX
fumecheng-2259	370	22	important	important	ADJ
fumecheng-2259	370	23	only	only	ADV
fumecheng-2259	370	24	when	when	SCONJ
fumecheng-2259	370	25	the	the	DET
fumecheng-2259	370	26	beam	beam	NOUN
fumecheng-2259	370	27	thickness	thickness	NOUN
fumecheng-2259	370	28	is	be	AUX
fumecheng-2259	370	29	too	too	ADV
fumecheng-2259	370	30	small	small	ADJ
fumecheng-2259	370	31	.	.	PUNCT
fumecheng-2259	371	1	fig	fig	NOUN
fumecheng-2259	371	2	.	.	PUNCT
fumecheng-2259	372	1	6	6	NUM
fumecheng-2259	372	2	the	the	DET
fumecheng-2259	372	3	natural	natural	ADJ
fumecheng-2259	372	4	frequency	frequency	NOUN
fumecheng-2259	372	5	of	of	ADP
fumecheng-2259	372	6	the	the	DET
fumecheng-2259	372	7	ebdmbs	ebdmb	NOUN
fumecheng-2259	372	8	varying	vary	VERB
fumecheng-2259	372	9	with	with	ADP
fumecheng-2259	372	10	microbeam	microbeam	NOUN
fumecheng-2259	372	11	thickness	thickness	NOUN
fumecheng-2259	372	12	,	,	PUNCT
fumecheng-2259	372	13	temperature	temperature	NOUN
fumecheng-2259	372	14	effect	effect	NOUN
fumecheng-2259	372	15	and	and	CCONJ
fumecheng-2259	372	16	pasternak	pasternak	PROPN
fumecheng-2259	372	17	’s	’s	PART
fumecheng-2259	372	18	parameter	parameter	NOUN
fumecheng-2259	372	19	4.3	4.3	NUM
fumecheng-2259	372	20	.	.	PUNCT
fumecheng-2259	373	1	the	the	DET
fumecheng-2259	373	2	effect	effect	NOUN
fumecheng-2259	373	3	of	of	ADP
fumecheng-2259	373	4	the	the	DET
fumecheng-2259	373	5	compression	compression	NOUN
fumecheng-2259	373	6	axial	axial	ADJ
fumecheng-2259	373	7	load	load	NOUN
fumecheng-2259	373	8	and	and	CCONJ
fumecheng-2259	373	9	temperature	temperature	NOUN
fumecheng-2259	373	10	effect	effect	NOUN
fumecheng-2259	373	11	on	on	ADP
fumecheng-2259	373	12	the	the	DET
fumecheng-2259	373	13	ebdmbs	ebdmb	NOUN
fumecheng-2259	373	14	to	to	PART
fumecheng-2259	373	15	investigate	investigate	VERB
fumecheng-2259	373	16	the	the	DET
fumecheng-2259	373	17	influence	influence	NOUN
fumecheng-2259	373	18	of	of	ADP
fumecheng-2259	373	19	the	the	DET
fumecheng-2259	373	20	compressive	compressive	ADJ
fumecheng-2259	373	21	axial	axial	ADJ
fumecheng-2259	373	22	loading	loading	NOUN
fumecheng-2259	373	23	on	on	ADP
fumecheng-2259	373	24	the	the	DET
fumecheng-2259	373	25	natural	natural	ADJ
fumecheng-2259	373	26	frequencies	frequency	NOUN
fumecheng-2259	373	27	of	of	ADP
fumecheng-2259	373	28	ebdmbs	ebdmbs	ADJ
fumecheng-2259	373	29	transverse	transverse	NOUN
fumecheng-2259	373	30	vibration	vibration	NOUN
fumecheng-2259	373	31	,	,	PUNCT
fumecheng-2259	373	32	we	we	PRON
fumecheng-2259	373	33	can	can	AUX
fumecheng-2259	373	34	compare	compare	VERB
fumecheng-2259	373	35	the	the	DET
fumecheng-2259	373	36	results	result	NOUN
fumecheng-2259	373	37	of	of	ADP
fumecheng-2259	373	38	natural	natural	ADJ
fumecheng-2259	373	39	frequencies	frequency	NOUN
fumecheng-2259	373	40	under	under	ADP
fumecheng-2259	373	41	the	the	DET
fumecheng-2259	373	42	compressive	compressive	ADJ
fumecheng-2259	373	43	axial	axial	ADJ
fumecheng-2259	373	44	loading	loading	NOUN
fumecheng-2259	373	45	and	and	CCONJ
fumecheng-2259	373	46	those	those	PRON
fumecheng-2259	373	47	without	without	ADP
fumecheng-2259	373	48	axial	axial	ADJ
fumecheng-2259	373	49	loading	loading	NOUN
fumecheng-2259	373	50	.	.	PUNCT
fumecheng-2259	374	1	,	,	PUNCT
fumecheng-2259	374	2	2	2	NUM
fumecheng-2259	374	3	4	4	NUM
fumecheng-2259	374	4	2	2	NUM
fumecheng-2259	374	5	2	2	NUM
fumecheng-2259	374	6	222	222	NUM
fumecheng-2259	374	7	,	,	PUNCT
fumecheng-2259	374	8	cbb	cbb	NOUN
fumecheng-2259	374	9	iini	iini	X
fumecheng-2259	374	10			PROPN
fumecheng-2259	374	11			NOUN
fumecheng-2259	374	12			NOUN
fumecheng-2259	374	13			X
fumecheng-2259	374	14	(	(	PUNCT
fumecheng-2259	374	15	55	55	NUM
fumecheng-2259	374	16	)	)	PUNCT
fumecheng-2259	374	17	2	2	NUM
fumecheng-2259	374	18	4	4	NUM
fumecheng-2259	374	19	2	2	NUM
fumecheng-2259	374	20	2	2	NUM
fumecheng-2259	374	21	2	2	NUM
fumecheng-2259	374	22	2	2	NUM
fumecheng-2259	374	23	02	02	NUM
fumecheng-2259	374	24	(	(	PUNCT
fumecheng-2259	374	25	)	)	PUNCT
fumecheng-2259	374	26	(	(	PUNCT
fumecheng-2259	374	27	)	)	PUNCT
fumecheng-2259	374	28	(	(	PUNCT
fumecheng-2259	374	29	)	)	PUNCT
fumecheng-2259	374	30	2	2	NUM
fumecheng-2259	374	31	2	2	NUM
fumecheng-2259	374	32	,	,	PUNCT
fumecheng-2259	374	33	xx	xx	NUM
fumecheng-2259	374	34	xz	xz	PROPN
fumecheng-2259	374	35	n	n	PROPN
fumecheng-2259	374	36	cr	cr	PROPN
fumecheng-2259	374	37	t	t	PROPN
fumecheng-2259	374	38	n	n	PROPN
fumecheng-2259	374	39	cr	cr	PROPN
fumecheng-2259	374	40	t	t	PROPN
fumecheng-2259	375	1	n	n	PRON
fumecheng-2259	375	2	p	p	NOUN
fumecheng-2259	375	3	n	n	INTJ
fumecheng-2259	375	4	wb	wb	NOUN
fumecheng-2259	376	1	d	d	NOUN
fumecheng-2259	376	2	a	a	PROPN
fumecheng-2259	376	3	l	l	NOUN
fumecheng-2259	377	1	k	k	NOUN
fumecheng-2259	377	2	f	f	PROPN
fumecheng-2259	378	1	f	f	PROPN
fumecheng-2259	379	1	k	k	PROPN
fumecheng-2259	379	2	f	f	PROPN
fumecheng-2259	380	1	f	f	PROPN
fumecheng-2259	380	2	k	k	PROPN
fumecheng-2259	380	3	k	k	PROPN
fumecheng-2259	380	4	k	k	PROPN
fumecheng-2259	380	5	k	k	PROPN
fumecheng-2259	380	6			PUNCT
fumecheng-2259	380	7			PUNCT
fumecheng-2259	380	8			PROPN
fumecheng-2259	380	9			VERB
fumecheng-2259	380	10			PROPN
fumecheng-2259	380	11			ADV
fumecheng-2259	380	12			CCONJ
fumecheng-2259	380	13			X
fumecheng-2259	380	14	(	(	PUNCT
fumecheng-2259	380	15	56	56	NUM
fumecheng-2259	380	16	)	)	SYM
fumecheng-2259	380	17	2	2	NUM
fumecheng-2259	380	18	4	4	NUM
fumecheng-2259	380	19	2	2	NUM
fumecheng-2259	380	20	2	2	NUM
fumecheng-2259	380	21	2	2	NUM
fumecheng-2259	380	22	0	0	NUM
fumecheng-2259	380	23	2	2	NUM
fumecheng-2259	380	24	4	4	NUM
fumecheng-2259	380	25	2	2	NUM
fumecheng-2259	380	26	2	2	NUM
fumecheng-2259	380	27	2	2	NUM
fumecheng-2259	380	28	0	0	NUM
fumecheng-2259	381	1	[	[	X
fumecheng-2259	381	2	(	(	PUNCT
fumecheng-2259	381	3	)	)	PUNCT
fumecheng-2259	381	4	(	(	PUNCT
fumecheng-2259	381	5	)	)	PUNCT
fumecheng-2259	381	6	]	]	PUNCT
fumecheng-2259	382	1	[	[	X
fumecheng-2259	382	2	(	(	PUNCT
fumecheng-2259	382	3	)	)	PUNCT
fumecheng-2259	382	4	(	(	PUNCT
fumecheng-2259	382	5	)	)	PUNCT
fumecheng-2259	382	6	]	]	PUNCT
fumecheng-2259	382	7	,	,	PUNCT
fumecheng-2259	382	8	xx	xx	NUM
fumecheng-2259	382	9	xz	xz	PROPN
fumecheng-2259	382	10	n	n	PROPN
fumecheng-2259	382	11	cr	cr	PROPN
fumecheng-2259	382	12	t	t	PROPN
fumecheng-2259	382	13	n	n	PROPN
fumecheng-2259	382	14	p	p	PROPN
fumecheng-2259	382	15	n	n	PROPN
fumecheng-2259	382	16	w	w	NOUN
fumecheng-2259	382	17	xx	xx	NUM
fumecheng-2259	382	18	xz	xz	PROPN
fumecheng-2259	382	19	n	n	PROPN
fumecheng-2259	382	20	cr	cr	PROPN
fumecheng-2259	382	21	t	t	PROPN
fumecheng-2259	382	22	n	n	PROPN
fumecheng-2259	382	23	p	p	PROPN
fumecheng-2259	382	24	n	n	PROPN
fumecheng-2259	382	25	w	w	PROPN
fumecheng-2259	382	26	w	w	PROPN
fumecheng-2259	382	27	c	c	PROPN
fumecheng-2259	382	28	d	d	PROPN
fumecheng-2259	382	29	a	a	PROPN
fumecheng-2259	382	30	l	l	NOUN
fumecheng-2259	383	1	k	k	NOUN
fumecheng-2259	383	2	f	f	PROPN
fumecheng-2259	384	1	f	f	PROPN
fumecheng-2259	385	1	k	k	PROPN
fumecheng-2259	385	2	k	k	PROPN
fumecheng-2259	386	1	k	k	PROPN
fumecheng-2259	386	2	k	k	PROPN
fumecheng-2259	387	1	d	d	X
fumecheng-2259	387	2	a	a	X
fumecheng-2259	387	3	l	l	NOUN
fumecheng-2259	388	1	k	k	NOUN
fumecheng-2259	388	2	f	f	PROPN
fumecheng-2259	389	1	f	f	PROPN
fumecheng-2259	389	2	k	k	PROPN
fumecheng-2259	389	3	k	k	PROPN
fumecheng-2259	389	4	k	k	PROPN
fumecheng-2259	389	5	k	k	PROPN
fumecheng-2259	389	6	k	k	PROPN
fumecheng-2259	389	7			PROPN
fumecheng-2259	389	8			ADP
fumecheng-2259	389	9			PRON
fumecheng-2259	389	10			ADJ
fumecheng-2259	389	11			PROPN
fumecheng-2259	389	12			VERB
fumecheng-2259	389	13			PROPN
fumecheng-2259	389	14			PUNCT
fumecheng-2259	389	15			PUNCT
fumecheng-2259	389	16			PROPN
fumecheng-2259	389	17			VERB
fumecheng-2259	389	18			PUNCT
fumecheng-2259	389	19			PUNCT
fumecheng-2259	389	20			PROPN
fumecheng-2259	389	21	and	and	CCONJ
fumecheng-2259	389	22	.1	.1	NUM
fumecheng-2259	389	23	cr	cr	PROPN
fumecheng-2259	389	24	m	m	PROPN
fumecheng-2259	389	25	f	f	PROPN
fumecheng-2259	389	26	f	f	PROPN
fumecheng-2259	389	27			PROPN
fumecheng-2259	389	28	(	(	PUNCT
fumecheng-2259	389	29	57	57	NUM
fumecheng-2259	389	30	)	)	PUNCT
fumecheng-2259	389	31	if	if	SCONJ
fumecheng-2259	389	32	we	we	PRON
fumecheng-2259	389	33	define	define	VERB
fumecheng-2259	389	34	.	.	PUNCT
fumecheng-2259	389	35	,	,	PUNCT
fumecheng-2259	389	36			VERB
fumecheng-2259	389	37			PROPN
fumecheng-2259	390	1			X
fumecheng-2259	390	2			NOUN
fumecheng-2259	390	3			X
fumecheng-2259	390	4			PROPN
fumecheng-2259	390	5			NUM
fumecheng-2259	390	6	nii	nii	PROPN
fumecheng-2259	390	7	nii	nii	PROPN
fumecheng-2259	390	8	ni	ni	PROPN
fumecheng-2259	390	9	ni	ni	PROPN
fumecheng-2259	390	10			NUM
fumecheng-2259	390	11	(	(	PUNCT
fumecheng-2259	390	12	58	58	NUM
fumecheng-2259	390	13	)	)	PUNCT
fumecheng-2259	390	14	with	with	ADP
fumecheng-2259	390	15	vibration	vibration	NOUN
fumecheng-2259	390	16	mode	mode	NOUN
fumecheng-2259	390	17	number	number	NOUN
fumecheng-2259	390	18	n=1	n=1	PUNCT
fumecheng-2259	390	19	the	the	DET
fumecheng-2259	390	20	impact	impact	NOUN
fumecheng-2259	390	21	of	of	ADP
fumecheng-2259	390	22	the	the	DET
fumecheng-2259	390	23	compressive	compressive	ADJ
fumecheng-2259	390	24	axial	axial	ADJ
fumecheng-2259	390	25	loading	loading	NOUN
fumecheng-2259	390	26	on	on	ADP
fumecheng-2259	390	27	the	the	DET
fumecheng-2259	390	28	natural	natural	ADJ
fumecheng-2259	390	29	frequencies	frequency	NOUN
fumecheng-2259	390	30	of	of	ADP
fumecheng-2259	390	31	transverse	transverse	NOUN
fumecheng-2259	390	32	vibration	vibration	NOUN
fumecheng-2259	390	33	of	of	ADP
fumecheng-2259	390	34	the	the	DET
fumecheng-2259	390	35	ebdmbs	ebdmb	NOUN
fumecheng-2259	390	36	presented	present	VERB
fumecheng-2259	390	37	by	by	ADP
fumecheng-2259	390	38	ratios	ratio	NOUN
fumecheng-2259	390	39	of	of	ADP
fumecheng-2259	390	40	ψ1	ψ1	NOUN
fumecheng-2259	390	41	and	and	CCONJ
fumecheng-2259	390	42	58	58	NUM
fumecheng-2259	390	43	m.	m.	NOUN
fumecheng-2259	390	44	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	390	45	atanasov	atanasov	PROPN
fumecheng-2259	390	46	,	,	PUNCT
fumecheng-2259	390	47	d.	d.	PROPN
fumecheng-2259	390	48	karliţiš	karliţiš	PROPN
fumecheng-2259	390	49	,	,	PUNCT
fumecheng-2259	390	50	p.	p.	PROPN
fumecheng-2259	390	51	koziš	koziš	PROPN
fumecheng-2259	390	52	,	,	PUNCT
fumecheng-2259	390	53	g.	g.	PROPN
fumecheng-2259	390	54	janevski	janevski	PROPN
fumecheng-2259	390	55	ψ2	ψ2	NOUN
fumecheng-2259	390	56	are	be	AUX
fumecheng-2259	390	57	shown	show	VERB
fumecheng-2259	390	58	in	in	ADP
fumecheng-2259	390	59	fig	fig	NOUN
fumecheng-2259	390	60	.	.	PUNCT
fumecheng-2259	391	1	7	7	X
fumecheng-2259	391	2	.	.	X
fumecheng-2259	391	3	fig	fig	NOUN
fumecheng-2259	391	4	.	.	PUNCT
fumecheng-2259	392	1	7	7	NUM
fumecheng-2259	392	2	shows	show	VERB
fumecheng-2259	392	3	that	that	SCONJ
fumecheng-2259	392	4	the	the	DET
fumecheng-2259	392	5	ratios	ratio	NOUN
fumecheng-2259	392	6	of	of	ADP
fumecheng-2259	392	7	frequencies	frequency	NOUN
fumecheng-2259	392	8	ψ1	ψ1	ADJ
fumecheng-2259	392	9	and	and	CCONJ
fumecheng-2259	392	10	ψ2	ψ2	NOUN
fumecheng-2259	392	11	decrease	decrease	VERB
fumecheng-2259	392	12	with	with	ADP
fumecheng-2259	392	13	increasing	increase	VERB
fumecheng-2259	392	14	axial	axial	ADJ
fumecheng-2259	392	15	compressive	compressive	ADJ
fumecheng-2259	392	16	load	load	NOUN
fumecheng-2259	392	17	.	.	PUNCT
fumecheng-2259	392	18	it	it	PRON
fumecheng-2259	392	19	can	can	AUX
fumecheng-2259	392	20	be	be	AUX
fumecheng-2259	392	21	noticed	notice	VERB
fumecheng-2259	392	22	that	that	SCONJ
fumecheng-2259	392	23	the	the	DET
fumecheng-2259	392	24	effect	effect	NOUN
fumecheng-2259	392	25	of	of	ADP
fumecheng-2259	392	26	the	the	DET
fumecheng-2259	392	27	compressive	compressive	ADJ
fumecheng-2259	392	28	axial	axial	ADJ
fumecheng-2259	392	29	loading	loading	NOUN
fumecheng-2259	392	30	on	on	ADP
fumecheng-2259	392	31	lower	low	ADJ
fumecheng-2259	392	32	natural	natural	ADJ
fumecheng-2259	392	33	frequency	frequency	NOUN
fumecheng-2259	392	34	ωni	ωni	NOUN
fumecheng-2259	392	35	is	be	AUX
fumecheng-2259	392	36	practically	practically	ADV
fumecheng-2259	392	37	independent	independent	ADJ
fumecheng-2259	392	38	of	of	ADP
fumecheng-2259	392	39	axial	axial	ADJ
fumecheng-2259	392	40	compression	compression	NOUN
fumecheng-2259	392	41	ratio	ratio	NOUN
fumecheng-2259	392	42	ϑ	ϑ	NOUN
fumecheng-2259	392	43	,	,	PUNCT
fumecheng-2259	392	44	whereas	whereas	SCONJ
fumecheng-2259	392	45	on	on	ADP
fumecheng-2259	392	46	higher	high	ADJ
fumecheng-2259	392	47	natural	natural	ADJ
fumecheng-2259	392	48	frequency	frequency	NOUN
fumecheng-2259	392	49	ωnii	ωnii	NOUN
fumecheng-2259	392	50	it	it	PRON
fumecheng-2259	392	51	is	be	AUX
fumecheng-2259	392	52	dependent	dependent	ADJ
fumecheng-2259	392	53	on	on	ADP
fumecheng-2259	392	54	it	it	PRON
fumecheng-2259	392	55	.	.	PUNCT
fumecheng-2259	393	1	for	for	ADP
fumecheng-2259	393	2	the	the	DET
fumecheng-2259	393	3	winkler	winkler	NOUN
fumecheng-2259	393	4	and	and	CCONJ
fumecheng-2259	393	5	pasternak	pasternak	PROPN
fumecheng-2259	393	6	parameter	parameter	NOUN
fumecheng-2259	393	7	we	we	PRON
fumecheng-2259	393	8	used	use	VERB
fumecheng-2259	393	9	constant	constant	ADJ
fumecheng-2259	393	10	values	value	NOUN
fumecheng-2259	393	11	of	of	ADP
fumecheng-2259	393	12	kw=10	kw=10	PROPN
fumecheng-2259	393	13	and	and	CCONJ
fumecheng-2259	393	14	kp=0.1	kp=0.1	PROPN
fumecheng-2259	393	15	,	,	PUNCT
fumecheng-2259	393	16	while	while	SCONJ
fumecheng-2259	393	17	for	for	ADP
fumecheng-2259	393	18	the	the	DET
fumecheng-2259	393	19	temperature	temperature	NOUN
fumecheng-2259	393	20	change	change	NOUN
fumecheng-2259	393	21	δt=50	δt=50	PROPN
fumecheng-2259	393	22	◦	◦	PROPN
fumecheng-2259	393	23	c.	c.	NOUN
fumecheng-2259	393	24	it	it	PRON
fumecheng-2259	393	25	can	can	AUX
fumecheng-2259	393	26	be	be	AUX
fumecheng-2259	393	27	noticed	notice	VERB
fumecheng-2259	393	28	from	from	ADP
fumecheng-2259	393	29	fig	fig	NOUN
fumecheng-2259	393	30	.	.	PUNCT
fumecheng-2259	394	1	7(b	7(b	X
fumecheng-2259	394	2	)	)	PUNCT
fumecheng-2259	394	3	that	that	SCONJ
fumecheng-2259	394	4	as	as	ADP
fumecheng-2259	394	5	the	the	DET
fumecheng-2259	394	6	axial	axial	ADJ
fumecheng-2259	394	7	compression	compression	NOUN
fumecheng-2259	394	8	ratio	ratio	NOUN
fumecheng-2259	394	9	ϑ	ϑ	NOUN
fumecheng-2259	394	10	increases	increase	NOUN
fumecheng-2259	394	11	,	,	PUNCT
fumecheng-2259	394	12	the	the	DET
fumecheng-2259	394	13	ratio	ratio	NOUN
fumecheng-2259	394	14	of	of	ADP
fumecheng-2259	394	15	frequency	frequency	NOUN
fumecheng-2259	394	16	ψ2	ψ2	NOUN
fumecheng-2259	394	17	decreases	decrease	VERB
fumecheng-2259	394	18	.	.	PUNCT
fumecheng-2259	395	1	also	also	ADV
fumecheng-2259	395	2	,	,	PUNCT
fumecheng-2259	395	3	it	it	PRON
fumecheng-2259	395	4	can	can	AUX
fumecheng-2259	395	5	be	be	AUX
fumecheng-2259	395	6	seen	see	VERB
fumecheng-2259	395	7	that	that	SCONJ
fumecheng-2259	395	8	the	the	DET
fumecheng-2259	395	9	axial	axial	ADJ
fumecheng-2259	395	10	compression	compression	NOUN
fumecheng-2259	395	11	ratio	ratio	NOUN
fumecheng-2259	395	12	on	on	ADP
fumecheng-2259	395	13	the	the	DET
fumecheng-2259	395	14	ratio	ratio	NOUN
fumecheng-2259	395	15	of	of	ADP
fumecheng-2259	395	16	frequency	frequency	NOUN
fumecheng-2259	395	17	ψ2	ψ2	NOUN
fumecheng-2259	395	18	is	be	AUX
fumecheng-2259	395	19	independent	independent	ADJ
fumecheng-2259	395	20	of	of	ADP
fumecheng-2259	395	21	axial	axial	ADJ
fumecheng-2259	395	22	compression	compression	NOUN
fumecheng-2259	395	23	ratio	ratio	NOUN
fumecheng-2259	395	24	ϑ	ϑ	NOUN
fumecheng-2259	395	25	for	for	ADP
fumecheng-2259	395	26	small	small	ADJ
fumecheng-2259	395	27	axial	axial	ADJ
fumecheng-2259	395	28	compressive	compressive	NOUN
fumecheng-2259	395	29	load	load	NOUN
fumecheng-2259	395	30			NOUN
fumecheng-2259	395	31	,	,	PUNCT
fumecheng-2259	395	32	while	while	SCONJ
fumecheng-2259	395	33	it	it	PRON
fumecheng-2259	395	34	is	be	AUX
fumecheng-2259	395	35	significant	significant	ADJ
fumecheng-2259	395	36	for	for	ADP
fumecheng-2259	395	37	a	a	DET
fumecheng-2259	395	38	large	large	ADJ
fumecheng-2259	395	39	axial	axial	ADJ
fumecheng-2259	395	40	compressive	compressive	ADJ
fumecheng-2259	395	41	load	load	NOUN
fumecheng-2259	395	42	.	.	PUNCT
fumecheng-2259	396	1	fig	fig	NOUN
fumecheng-2259	396	2	.	.	PUNCT
fumecheng-2259	397	1	8	8	NUM
fumecheng-2259	397	2	shows	show	VERB
fumecheng-2259	397	3	the	the	DET
fumecheng-2259	397	4	thermal	thermal	ADJ
fumecheng-2259	397	5	effect	effect	NOUN
fumecheng-2259	397	6	and	and	CCONJ
fumecheng-2259	397	7	effect	effect	NOUN
fumecheng-2259	397	8	of	of	ADP
fumecheng-2259	397	9	the	the	DET
fumecheng-2259	397	10	pasternak	pasternak	PROPN
fumecheng-2259	397	11	parameter	parameter	NOUN
fumecheng-2259	397	12	on	on	ADP
fumecheng-2259	397	13	critical	critical	ADJ
fumecheng-2259	397	14	buckling	buckling	NOUN
fumecheng-2259	397	15	load	load	NOUN
fumecheng-2259	397	16	fcr	fcr	NOUN
fumecheng-2259	397	17	for	for	ADP
fumecheng-2259	397	18	the	the	DET
fumecheng-2259	397	19	ebdmbs	ebdmb	NOUN
fumecheng-2259	397	20	as	as	ADP
fumecheng-2259	397	21	a	a	DET
fumecheng-2259	397	22	function	function	NOUN
fumecheng-2259	397	23	of	of	ADP
fumecheng-2259	397	24	axial	axial	ADJ
fumecheng-2259	397	25	load	load	NOUN
fumecheng-2259	397	26	ratio	ratio	NOUN
fumecheng-2259	397	27	ϑ	ϑ	PROPN
fumecheng-2259	397	28	.	.	PUNCT
fumecheng-2259	398	1	with	with	ADP
fumecheng-2259	398	2	the	the	DET
fumecheng-2259	398	3	axial	axial	ADJ
fumecheng-2259	398	4	load	load	NOUN
fumecheng-2259	398	5	ratio	ratio	NOUN
fumecheng-2259	398	6	ϑ	ϑ	DET
fumecheng-2259	398	7	increase	increase	NOUN
fumecheng-2259	398	8	,	,	PUNCT
fumecheng-2259	398	9	the	the	DET
fumecheng-2259	398	10	critical	critical	ADJ
fumecheng-2259	398	11	buckling	buckling	NOUN
fumecheng-2259	398	12	load	load	NOUN
fumecheng-2259	398	13	decreases	decrease	NOUN
fumecheng-2259	398	14	.	.	PUNCT
fumecheng-2259	399	1	for	for	ADP
fumecheng-2259	399	2	a	a	DET
fumecheng-2259	399	3	taken	take	VERB
fumecheng-2259	399	4	value	value	NOUN
fumecheng-2259	399	5	of	of	ADP
fumecheng-2259	399	6	axial	axial	ADJ
fumecheng-2259	399	7	load	load	NOUN
fumecheng-2259	399	8	ratio	ratio	NOUN
fumecheng-2259	399	9	ϑ	ϑ	NOUN
fumecheng-2259	399	10	,	,	PUNCT
fumecheng-2259	399	11	the	the	DET
fumecheng-2259	399	12	critical	critical	ADJ
fumecheng-2259	399	13	buckling	buckling	NOUN
fumecheng-2259	399	14	load	load	NOUN
fumecheng-2259	399	15	of	of	ADP
fumecheng-2259	399	16	the	the	DET
fumecheng-2259	399	17	ebdmbs	ebdmb	NOUN
fumecheng-2259	399	18	decreases	decrease	VERB
fumecheng-2259	399	19	with	with	ADP
fumecheng-2259	399	20	an	an	DET
fumecheng-2259	399	21	increase	increase	NOUN
fumecheng-2259	399	22	in	in	ADP
fumecheng-2259	399	23	temperature	temperature	NOUN
fumecheng-2259	399	24	change	change	NOUN
fumecheng-2259	399	25	.	.	PUNCT
fumecheng-2259	400	1	as	as	SCONJ
fumecheng-2259	400	2	can	can	AUX
fumecheng-2259	400	3	be	be	AUX
fumecheng-2259	400	4	seen	see	VERB
fumecheng-2259	400	5	,	,	PUNCT
fumecheng-2259	400	6	for	for	ADP
fumecheng-2259	400	7	the	the	DET
fumecheng-2259	400	8	higher	high	ADJ
fumecheng-2259	400	9	value	value	NOUN
fumecheng-2259	400	10	of	of	ADP
fumecheng-2259	400	11	the	the	DET
fumecheng-2259	400	12	pasternak	pasternak	PROPN
fumecheng-2259	400	13	parameter	parameter	NOUN
fumecheng-2259	400	14	of	of	ADP
fumecheng-2259	400	15	kp=0.1	kp=0.1	PROPN
fumecheng-2259	400	16	,	,	PUNCT
fumecheng-2259	400	17	the	the	DET
fumecheng-2259	400	18	critical	critical	ADJ
fumecheng-2259	400	19	buckling	buckling	NOUN
fumecheng-2259	400	20	load	load	NOUN
fumecheng-2259	400	21	has	have	VERB
fumecheng-2259	400	22	a	a	DET
fumecheng-2259	400	23	noticeably	noticeably	ADV
fumecheng-2259	400	24	higher	high	ADJ
fumecheng-2259	400	25	value	value	NOUN
fumecheng-2259	400	26	.	.	PUNCT
fumecheng-2259	401	1	fig	fig	NOUN
fumecheng-2259	401	2	.	.	PUNCT
fumecheng-2259	402	1	7	7	NUM
fumecheng-2259	403	1	the	the	DET
fumecheng-2259	403	2	thermal	thermal	ADJ
fumecheng-2259	403	3	effect	effect	NOUN
fumecheng-2259	403	4	on	on	ADP
fumecheng-2259	403	5	the	the	DET
fumecheng-2259	403	6	relationships	relationship	NOUN
fumecheng-2259	403	7	between	between	ADP
fumecheng-2259	403	8	ratios	ratio	NOUN
fumecheng-2259	403	9	ψ1	ψ1	ADJ
fumecheng-2259	403	10	and	and	CCONJ
fumecheng-2259	403	11	ψ2	ψ2	NOUN
fumecheng-2259	403	12	and	and	CCONJ
fumecheng-2259	403	13	dimensionless	dimensionless	NOUN
fumecheng-2259	403	14	parameter	parameter	NOUN
fumecheng-2259	403	15			NOUN
fumecheng-2259	403	16	with	with	ADP
fumecheng-2259	403	17	increasing	increase	VERB
fumecheng-2259	403	18	axial	axial	ADJ
fumecheng-2259	403	19	compressive	compressive	ADJ
fumecheng-2259	403	20	load	load	NOUN
fumecheng-2259	403	21	ratio	ratio	NOUN
fumecheng-2259	403	22	ϑ	ϑ	PRON
fumecheng-2259	403	23	fig	fig	NOUN
fumecheng-2259	403	24	.	.	PUNCT
fumecheng-2259	403	25	8	8	NUM
fumecheng-2259	404	1	the	the	DET
fumecheng-2259	404	2	thermal	thermal	ADJ
fumecheng-2259	404	3	effect	effect	NOUN
fumecheng-2259	404	4	and	and	CCONJ
fumecheng-2259	404	5	effect	effect	NOUN
fumecheng-2259	404	6	of	of	ADP
fumecheng-2259	404	7	pasternak	pasternak	PROPN
fumecheng-2259	404	8	parameter	parameter	NOUN
fumecheng-2259	404	9	on	on	ADP
fumecheng-2259	404	10	the	the	DET
fumecheng-2259	404	11	critical	critical	ADJ
fumecheng-2259	404	12	buckling	buckling	NOUN
fumecheng-2259	404	13	load	load	NOUN
fumecheng-2259	404	14	fcr	fcr	NOUN
fumecheng-2259	404	15	for	for	ADP
fumecheng-2259	404	16	the	the	DET
fumecheng-2259	404	17	ebdmbs	ebdmb	NOUN
fumecheng-2259	404	18	as	as	ADP
fumecheng-2259	404	19	a	a	DET
fumecheng-2259	404	20	function	function	NOUN
fumecheng-2259	404	21	of	of	ADP
fumecheng-2259	404	22	axial	axial	ADJ
fumecheng-2259	404	23	load	load	NOUN
fumecheng-2259	404	24	ratio	ratio	NOUN
fumecheng-2259	404	25	ϑ	ϑ	PRON
fumecheng-2259	404	26	thermal	thermal	ADJ
fumecheng-2259	404	27	effect	effect	NOUN
fumecheng-2259	404	28	on	on	ADP
fumecheng-2259	404	29	the	the	DET
fumecheng-2259	404	30	free	free	ADJ
fumecheng-2259	404	31	vibration	vibration	NOUN
fumecheng-2259	404	32	and	and	CCONJ
fumecheng-2259	404	33	buckling	buckling	NOUN
fumecheng-2259	404	34	of	of	ADP
fumecheng-2259	404	35	a	a	DET
fumecheng-2259	404	36	double	double	ADJ
fumecheng-2259	404	37	-	-	PUNCT
fumecheng-2259	404	38	microbeam	microbeam	NOUN
fumecheng-2259	404	39	system	system	NOUN
fumecheng-2259	404	40	59	59	NUM
fumecheng-2259	404	41	the	the	DET
fumecheng-2259	404	42	critical	critical	ADJ
fumecheng-2259	404	43	scale	scale	NOUN
fumecheng-2259	404	44	load	load	NOUN
fumecheng-2259	404	45	ratio	ratio	NOUN
fumecheng-2259	404	46	of	of	ADP
fumecheng-2259	404	47	the	the	DET
fumecheng-2259	404	48	modified	modified	ADJ
fumecheng-2259	404	49	and	and	CCONJ
fumecheng-2259	404	50	the	the	DET
fumecheng-2259	404	51	local	local	ADJ
fumecheng-2259	404	52	critical	critical	ADJ
fumecheng-2259	404	53	buckling	buckling	NOUN
fumecheng-2259	404	54	loads	load	NOUN
fumecheng-2259	404	55	at	at	ADP
fumecheng-2259	404	56	a	a	DET
fumecheng-2259	404	57	low	low	ADJ
fumecheng-2259	404	58	temperature	temperature	NOUN
fumecheng-2259	404	59	environs	environ	NOUN
fumecheng-2259	404	60	is	be	AUX
fumecheng-2259	404	61	presented	present	VERB
fumecheng-2259	404	62	as	as	ADP
fumecheng-2259	404	63	.	.	PUNCT
fumecheng-2259	404	64	lcrclassica	lcrclassica	PROPN
fumecheng-2259	404	65	crmcst	crmcst	PROPN
fumecheng-2259	404	66	cr	cr	PROPN
fumecheng-2259	404	67			PROPN
fumecheng-2259	404	68			PROPN
fumecheng-2259	404	69			PROPN
fumecheng-2259	404	70			NOUN
fumecheng-2259	404	71			PUNCT
fumecheng-2259	405	1			NUM
fumecheng-2259	405	2	(	(	PUNCT
fumecheng-2259	405	3	59	59	NUM
fumecheng-2259	405	4	)	)	PUNCT
fumecheng-2259	405	5	fig	fig	NOUN
fumecheng-2259	405	6	.	.	PUNCT
fumecheng-2259	405	7	9	9	NUM
fumecheng-2259	405	8	length	length	NOUN
fumecheng-2259	405	9	scale	scale	NOUN
fumecheng-2259	405	10	parameter	parameter	NOUN
fumecheng-2259	405	11	tcr	tcr	PROPN
fumecheng-2259	406	1	at	at	ADP
fumecheng-2259	406	2	low	low	ADJ
fumecheng-2259	406	3	temperature	temperature	NOUN
fumecheng-2259	406	4	environs	environ	NOUN
fumecheng-2259	406	5	in	in	ADP
fumecheng-2259	406	6	order	order	NOUN
fumecheng-2259	406	7	to	to	PART
fumecheng-2259	406	8	make	make	VERB
fumecheng-2259	406	9	a	a	DET
fumecheng-2259	406	10	better	well	ADJ
fumecheng-2259	406	11	illustration	illustration	NOUN
fumecheng-2259	406	12	of	of	ADP
fumecheng-2259	406	13	the	the	DET
fumecheng-2259	406	14	thermo	thermo	NOUN
fumecheng-2259	406	15	-	-	PUNCT
fumecheng-2259	406	16	mechanical	mechanical	ADJ
fumecheng-2259	406	17	response	response	NOUN
fumecheng-2259	406	18	of	of	ADP
fumecheng-2259	406	19	the	the	DET
fumecheng-2259	406	20	ebdmbs	ebdmb	NOUN
fumecheng-2259	406	21	,	,	PUNCT
fumecheng-2259	406	22	we	we	PRON
fumecheng-2259	406	23	introduced	introduce	VERB
fumecheng-2259	406	24	a	a	DET
fumecheng-2259	406	25	scale	scale	NOUN
fumecheng-2259	406	26	parameter	parameter	NOUN
fumecheng-2259	406	27	.	.	PUNCT
fumecheng-2259	407	1	fig	fig	NOUN
fumecheng-2259	407	2	.	.	PUNCT
fumecheng-2259	408	1	9	9	NUM
fumecheng-2259	408	2	shows	show	VERB
fumecheng-2259	408	3	the	the	DET
fumecheng-2259	408	4	influence	influence	NOUN
fumecheng-2259	408	5	of	of	ADP
fumecheng-2259	408	6	length	length	NOUN
fumecheng-2259	408	7	scale	scale	NOUN
fumecheng-2259	408	8	parameter	parameter	PROPN
fumecheng-2259	408	9	tcr	tcr	PROPN
fumecheng-2259	408	10	at	at	ADP
fumecheng-2259	408	11	the	the	DET
fumecheng-2259	408	12	low	low	ADJ
fumecheng-2259	408	13	temperature	temperature	NOUN
fumecheng-2259	408	14	environs	environ	NOUN
fumecheng-2259	408	15	.	.	PUNCT
fumecheng-2259	409	1	the	the	DET
fumecheng-2259	409	2	influence	influence	NOUN
fumecheng-2259	409	3	of	of	ADP
fumecheng-2259	409	4	nonlocal	nonlocal	ADJ
fumecheng-2259	409	5	parameter	parameter	NOUN
fumecheng-2259	409	6	at	at	ADP
fumecheng-2259	409	7	low	low	ADJ
fumecheng-2259	409	8	temperature	temperature	NOUN
fumecheng-2259	409	9	environs	environ	NOUN
fumecheng-2259	409	10	is	be	AUX
fumecheng-2259	409	11	shown	show	VERB
fumecheng-2259	409	12	in	in	ADP
fumecheng-2259	409	13	karliţiš	karliţiš	PROPN
fumecheng-2259	409	14	et	et	PROPN
fumecheng-2259	409	15	al	al	PROPN
fumecheng-2259	409	16	.	.	PUNCT
fumecheng-2259	410	1	[	[	X
fumecheng-2259	410	2	32	32	NUM
fumecheng-2259	410	3	]	]	PUNCT
fumecheng-2259	410	4	.	.	PUNCT
fumecheng-2259	411	1	it	it	PRON
fumecheng-2259	411	2	can	can	AUX
fumecheng-2259	411	3	be	be	AUX
fumecheng-2259	411	4	observed	observe	VERB
fumecheng-2259	411	5	from	from	ADP
fumecheng-2259	411	6	fig	fig	NOUN
fumecheng-2259	411	7	.	.	PUNCT
fumecheng-2259	412	1	9	9	NUM
fumecheng-2259	412	2	that	that	SCONJ
fumecheng-2259	412	3	this	this	DET
fumecheng-2259	412	4	parameter	parameter	NOUN
fumecheng-2259	412	5	increases	increase	VERB
fumecheng-2259	412	6	for	for	ADP
fumecheng-2259	412	7	a	a	DET
fumecheng-2259	412	8	length	length	NOUN
fumecheng-2259	412	9	scale	scale	NOUN
fumecheng-2259	412	10	parameter	parameter	NOUN
fumecheng-2259	412	11	increase	increase	NOUN
fumecheng-2259	412	12	.	.	PUNCT
fumecheng-2259	413	1	5	5	X
fumecheng-2259	413	2	.	.	X
fumecheng-2259	413	3	conclusions	conclusion	NOUN
fumecheng-2259	413	4	the	the	DET
fumecheng-2259	413	5	thermal	thermal	ADJ
fumecheng-2259	413	6	effect	effect	NOUN
fumecheng-2259	413	7	on	on	ADP
fumecheng-2259	413	8	the	the	DET
fumecheng-2259	413	9	free	free	ADJ
fumecheng-2259	413	10	vibration	vibration	NOUN
fumecheng-2259	413	11	and	and	CCONJ
fumecheng-2259	413	12	buckling	buckling	NOUN
fumecheng-2259	413	13	of	of	ADP
fumecheng-2259	413	14	the	the	DET
fumecheng-2259	413	15	euler	euler	NOUN
fumecheng-2259	413	16	-	-	PUNCT
fumecheng-2259	413	17	bernoulli	bernoulli	PROPN
fumecheng-2259	413	18	doublemicrobeam	doublemicrobeam	NOUN
fumecheng-2259	413	19	system	system	NOUN
fumecheng-2259	413	20	is	be	AUX
fumecheng-2259	413	21	examined	examine	VERB
fumecheng-2259	413	22	in	in	ADP
fumecheng-2259	413	23	this	this	DET
fumecheng-2259	413	24	paper	paper	NOUN
fumecheng-2259	413	25	based	base	VERB
fumecheng-2259	413	26	on	on	ADP
fumecheng-2259	413	27	the	the	DET
fumecheng-2259	413	28	modified	modify	VERB
fumecheng-2259	413	29	couple	couple	NOUN
fumecheng-2259	413	30	stress	stress	NOUN
fumecheng-2259	413	31	theory	theory	NOUN
fumecheng-2259	413	32	.	.	PUNCT
fumecheng-2259	414	1	the	the	DET
fumecheng-2259	414	2	system	system	NOUN
fumecheng-2259	414	3	is	be	AUX
fumecheng-2259	414	4	composed	compose	VERB
fumecheng-2259	414	5	of	of	ADP
fumecheng-2259	414	6	two	two	NUM
fumecheng-2259	414	7	identical	identical	ADJ
fumecheng-2259	414	8	,	,	PUNCT
fumecheng-2259	414	9	parallel	parallel	ADJ
fumecheng-2259	414	10	,	,	PUNCT
fumecheng-2259	414	11	simply	simply	ADV
fumecheng-2259	414	12	-	-	PUNCT
fumecheng-2259	414	13	supported	support	VERB
fumecheng-2259	414	14	beams	beam	NOUN
fumecheng-2259	414	15	which	which	PRON
fumecheng-2259	414	16	are	be	AUX
fumecheng-2259	414	17	continuously	continuously	ADV
fumecheng-2259	414	18	joined	join	VERB
fumecheng-2259	414	19	by	by	ADP
fumecheng-2259	414	20	the	the	DET
fumecheng-2259	414	21	pasternak	pasternak	NOUN
fumecheng-2259	414	22	’s	’s	PART
fumecheng-2259	414	23	elastic	elastic	ADJ
fumecheng-2259	414	24	layer	layer	NOUN
fumecheng-2259	414	25	.	.	PUNCT
fumecheng-2259	415	1	the	the	DET
fumecheng-2259	415	2	temperature	temperature	NOUN
fumecheng-2259	415	3	change	change	NOUN
fumecheng-2259	415	4	effect	effect	NOUN
fumecheng-2259	415	5	is	be	AUX
fumecheng-2259	415	6	assumed	assume	VERB
fumecheng-2259	415	7	to	to	PART
fumecheng-2259	415	8	have	have	VERB
fumecheng-2259	415	9	an	an	DET
fumecheng-2259	415	10	influence	influence	NOUN
fumecheng-2259	415	11	on	on	ADP
fumecheng-2259	415	12	both	both	DET
fumecheng-2259	415	13	microbeams	microbeam	NOUN
fumecheng-2259	415	14	.	.	PUNCT
fumecheng-2259	416	1	the	the	DET
fumecheng-2259	416	2	higher	high	ADJ
fumecheng-2259	416	3	-	-	PUNCT
fumecheng-2259	416	4	order	order	NOUN
fumecheng-2259	416	5	main	main	ADJ
fumecheng-2259	416	6	equations	equation	NOUN
fumecheng-2259	416	7	and	and	CCONJ
fumecheng-2259	416	8	boundary	boundary	ADJ
fumecheng-2259	416	9	conditions	condition	NOUN
fumecheng-2259	416	10	are	be	AUX
fumecheng-2259	416	11	derived	derive	VERB
fumecheng-2259	416	12	using	use	VERB
fumecheng-2259	416	13	the	the	DET
fumecheng-2259	416	14	hamilton	hamilton	PROPN
fumecheng-2259	416	15	principle	principle	PROPN
fumecheng-2259	416	16	.	.	PUNCT
fumecheng-2259	417	1	the	the	DET
fumecheng-2259	417	2	separation	separation	NOUN
fumecheng-2259	417	3	of	of	ADP
fumecheng-2259	417	4	variables	variable	NOUN
fumecheng-2259	417	5	method	method	NOUN
fumecheng-2259	417	6	(	(	PUNCT
fumecheng-2259	417	7	known	know	VERB
fumecheng-2259	417	8	as	as	ADP
fumecheng-2259	417	9	the	the	DET
fumecheng-2259	417	10	fourier	fourier	NOUN
fumecheng-2259	417	11	method	method	NOUN
fumecheng-2259	417	12	)	)	PUNCT
fumecheng-2259	417	13	is	be	AUX
fumecheng-2259	417	14	used	use	VERB
fumecheng-2259	417	15	for	for	ADP
fumecheng-2259	417	16	the	the	DET
fumecheng-2259	417	17	main	main	ADJ
fumecheng-2259	417	18	equations	equation	NOUN
fumecheng-2259	417	19	to	to	PART
fumecheng-2259	417	20	obtain	obtain	VERB
fumecheng-2259	417	21	free	free	ADJ
fumecheng-2259	417	22	vibration	vibration	NOUN
fumecheng-2259	417	23	frequencies	frequency	NOUN
fumecheng-2259	417	24	and	and	CCONJ
fumecheng-2259	417	25	critical	critical	ADJ
fumecheng-2259	417	26	buckling	buckling	NOUN
fumecheng-2259	417	27	loads	load	NOUN
fumecheng-2259	417	28	of	of	ADP
fumecheng-2259	417	29	the	the	DET
fumecheng-2259	417	30	ebdmbs	ebdmb	NOUN
fumecheng-2259	417	31	.	.	PUNCT
fumecheng-2259	418	1	the	the	DET
fumecheng-2259	418	2	length	length	NOUN
fumecheng-2259	418	3	scale	scale	NOUN
fumecheng-2259	418	4	parameter	parameter	NOUN
fumecheng-2259	418	5	,	,	PUNCT
fumecheng-2259	418	6	temperature	temperature	NOUN
fumecheng-2259	418	7	change	change	NOUN
fumecheng-2259	418	8	effect	effect	NOUN
fumecheng-2259	418	9	,	,	PUNCT
fumecheng-2259	418	10	critical	critical	ADJ
fumecheng-2259	418	11	buckling	buckling	NOUN
fumecheng-2259	418	12	load	load	NOUN
fumecheng-2259	418	13	,	,	PUNCT
fumecheng-2259	418	14	thickness	thickness	NOUN
fumecheng-2259	418	15	/	/	SYM
fumecheng-2259	418	16	material	material	NOUN
fumecheng-2259	418	17	parameter	parameter	NOUN
fumecheng-2259	418	18	,	,	PUNCT
fumecheng-2259	418	19	pasternak	pasternak	PROPN
fumecheng-2259	418	20	’s	’s	PART
fumecheng-2259	418	21	parameter	parameter	NOUN
fumecheng-2259	418	22	and	and	CCONJ
fumecheng-2259	418	23	poisson	poisson	PROPN
fumecheng-2259	418	24	’s	’s	PART
fumecheng-2259	418	25	effect	effect	NOUN
fumecheng-2259	418	26	are	be	AUX
fumecheng-2259	418	27	discussed	discuss	VERB
fumecheng-2259	418	28	in	in	ADP
fumecheng-2259	418	29	detail	detail	NOUN
fumecheng-2259	418	30	.	.	PUNCT
fumecheng-2259	419	1	also	also	ADV
fumecheng-2259	419	2	,	,	PUNCT
fumecheng-2259	419	3	the	the	DET
fumecheng-2259	419	4	effect	effect	NOUN
fumecheng-2259	419	5	of	of	ADP
fumecheng-2259	419	6	different	different	ADJ
fumecheng-2259	419	7	mentioned	mention	VERB
fumecheng-2259	419	8	parameters	parameter	NOUN
fumecheng-2259	419	9	on	on	ADP
fumecheng-2259	419	10	the	the	DET
fumecheng-2259	419	11	natural	natural	ADJ
fumecheng-2259	419	12	frequency	frequency	NOUN
fumecheng-2259	419	13	,	,	PUNCT
fumecheng-2259	419	14	frequency	frequency	NOUN
fumecheng-2259	419	15	under	under	ADP
fumecheng-2259	419	16	the	the	DET
fumecheng-2259	419	17	compressive	compressive	ADJ
fumecheng-2259	419	18	axial	axial	ADJ
fumecheng-2259	419	19	loading	loading	NOUN
fumecheng-2259	419	20	,	,	PUNCT
fumecheng-2259	419	21	critical	critical	ADJ
fumecheng-2259	419	22	buckling	buckling	NOUN
fumecheng-2259	419	23	load	load	NOUN
fumecheng-2259	419	24	and	and	CCONJ
fumecheng-2259	419	25	critical	critical	ADJ
fumecheng-2259	419	26	temperature	temperature	NOUN
fumecheng-2259	419	27	of	of	ADP
fumecheng-2259	419	28	the	the	DET
fumecheng-2259	419	29	ebdmbs	ebdmb	NOUN
fumecheng-2259	419	30	with	with	ADP
fumecheng-2259	419	31	thermal	thermal	ADJ
fumecheng-2259	419	32	effect	effect	NOUN
fumecheng-2259	419	33	are	be	AUX
fumecheng-2259	419	34	presented	present	VERB
fumecheng-2259	419	35	.	.	PUNCT
fumecheng-2259	420	1	effect	effect	NOUN
fumecheng-2259	420	2	of	of	ADP
fumecheng-2259	420	3	the	the	DET
fumecheng-2259	420	4	material	material	NOUN
fumecheng-2259	420	5	length	length	NOUN
fumecheng-2259	420	6	scale	scale	NOUN
fumecheng-2259	420	7	parameter	parameter	NOUN
fumecheng-2259	420	8	and	and	CCONJ
fumecheng-2259	420	9	thermal	thermal	ADJ
fumecheng-2259	420	10	effect	effect	NOUN
fumecheng-2259	420	11	on	on	ADP
fumecheng-2259	420	12	the	the	DET
fumecheng-2259	420	13	two	two	NUM
fumecheng-2259	420	14	different	different	ADJ
fumecheng-2259	420	15	cases	case	NOUN
fumecheng-2259	420	16	of	of	ADP
fumecheng-2259	420	17	phase	phase	NOUN
fumecheng-2259	420	18	modes	mode	NOUN
fumecheng-2259	420	19	of	of	ADP
fumecheng-2259	420	20	vibration	vibration	NOUN
fumecheng-2259	420	21	and	and	CCONJ
fumecheng-2259	420	22	buckling	buckle	VERB
fumecheng-2259	420	23	state	state	NOUN
fumecheng-2259	420	24	are	be	AUX
fumecheng-2259	420	25	discussed	discuss	VERB
fumecheng-2259	420	26	.	.	PUNCT
fumecheng-2259	421	1	based	base	VERB
fumecheng-2259	421	2	on	on	ADP
fumecheng-2259	421	3	the	the	DET
fumecheng-2259	421	4	presented	present	VERB
fumecheng-2259	421	5	analysis	analysis	NOUN
fumecheng-2259	421	6	we	we	PRON
fumecheng-2259	421	7	conclude	conclude	VERB
fumecheng-2259	421	8	that	that	SCONJ
fumecheng-2259	421	9	the	the	DET
fumecheng-2259	421	10	in	in	ADP
fumecheng-2259	421	11	-	-	PUNCT
fumecheng-2259	421	12	phase	phase	NOUN
fumecheng-2259	421	13	vibration	vibration	NOUN
fumecheng-2259	421	14	mode	mode	NOUN
fumecheng-2259	421	15	and	and	CCONJ
fumecheng-2259	421	16	buckling	buckle	VERB
fumecheng-2259	421	17	state	state	NOUN
fumecheng-2259	421	18	of	of	ADP
fumecheng-2259	421	19	the	the	DET
fumecheng-2259	421	20	ebdmbs	ebdmb	NOUN
fumecheng-2259	421	21	is	be	AUX
fumecheng-2259	421	22	independent	independent	ADJ
fumecheng-2259	421	23	of	of	ADP
fumecheng-2259	421	24	the	the	DET
fumecheng-2259	421	25	stiffness	stiffness	NOUN
fumecheng-2259	421	26	of	of	ADP
fumecheng-2259	421	27	the	the	DET
fumecheng-2259	421	28	connecting	connect	VERB
fumecheng-2259	421	29	springs	spring	NOUN
fumecheng-2259	421	30	while	while	SCONJ
fumecheng-2259	421	31	it	it	PRON
fumecheng-2259	421	32	is	be	AUX
fumecheng-2259	421	33	60	60	NUM
fumecheng-2259	421	34	m.	m.	NOUN
fumecheng-2259	421	35	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	421	36	atanasov	atanasov	NOUN
fumecheng-2259	421	37	,	,	PUNCT
fumecheng-2259	421	38	d.	d.	PROPN
fumecheng-2259	421	39	karliţiš	karliţiš	PROPN
fumecheng-2259	421	40	,	,	PUNCT
fumecheng-2259	421	41	p.	p.	PROPN
fumecheng-2259	421	42	koziš	koziš	PROPN
fumecheng-2259	421	43	,	,	PUNCT
fumecheng-2259	422	1	g.	g.	PROPN
fumecheng-2259	422	2	janevski	janevski	PROPN
fumecheng-2259	422	3	dependent	dependent	ADJ
fumecheng-2259	422	4	on	on	ADP
fumecheng-2259	422	5	pasternak	pasternak	PROPN
fumecheng-2259	422	6	's	's	PART
fumecheng-2259	422	7	layer	layer	NOUN
fumecheng-2259	422	8	and	and	CCONJ
fumecheng-2259	422	9	temperature	temperature	NOUN
fumecheng-2259	422	10	effect	effect	NOUN
fumecheng-2259	422	11	and	and	CCONJ
fumecheng-2259	422	12	hence	hence	ADV
fumecheng-2259	422	13	the	the	DET
fumecheng-2259	422	14	ebdmbs	ebdmb	NOUN
fumecheng-2259	422	15	can	can	AUX
fumecheng-2259	422	16	be	be	AUX
fumecheng-2259	422	17	treated	treat	VERB
fumecheng-2259	422	18	as	as	ADP
fumecheng-2259	422	19	a	a	DET
fumecheng-2259	422	20	single	single	ADJ
fumecheng-2259	422	21	microbeam	microbeam	NOUN
fumecheng-2259	422	22	.	.	PUNCT
fumecheng-2259	423	1	in	in	ADP
fumecheng-2259	423	2	order	order	NOUN
fumecheng-2259	423	3	to	to	PART
fumecheng-2259	423	4	confirm	confirm	VERB
fumecheng-2259	423	5	the	the	DET
fumecheng-2259	423	6	present	present	ADJ
fumecheng-2259	423	7	study	study	NOUN
fumecheng-2259	423	8	,	,	PUNCT
fumecheng-2259	423	9	we	we	PRON
fumecheng-2259	423	10	have	have	AUX
fumecheng-2259	423	11	shown	show	VERB
fumecheng-2259	423	12	in	in	ADP
fumecheng-2259	423	13	tabular	tabular	NOUN
fumecheng-2259	423	14	form	form	VERB
fumecheng-2259	423	15	a	a	DET
fumecheng-2259	423	16	comparison	comparison	NOUN
fumecheng-2259	423	17	of	of	ADP
fumecheng-2259	423	18	thermal	thermal	ADJ
fumecheng-2259	423	19	effect	effect	NOUN
fumecheng-2259	423	20	on	on	ADP
fumecheng-2259	423	21	the	the	DET
fumecheng-2259	423	22	dimensionless	dimensionless	ADJ
fumecheng-2259	423	23	natural	natural	ADJ
fumecheng-2259	423	24	frequency	frequency	NOUN
fumecheng-2259	423	25	of	of	ADP
fumecheng-2259	423	26	the	the	DET
fumecheng-2259	423	27	system	system	NOUN
fumecheng-2259	423	28	for	for	ADP
fumecheng-2259	423	29	three	three	NUM
fumecheng-2259	423	30	modes	mode	NOUN
fumecheng-2259	423	31	with	with	ADP
fumecheng-2259	423	32	the	the	DET
fumecheng-2259	423	33	results	result	NOUN
fumecheng-2259	423	34	found	find	VERB
fumecheng-2259	423	35	in	in	ADP
fumecheng-2259	423	36	the	the	DET
fumecheng-2259	423	37	literature	literature	NOUN
fumecheng-2259	423	38	.	.	PUNCT
fumecheng-2259	424	1	it	it	PRON
fumecheng-2259	424	2	is	be	AUX
fumecheng-2259	424	3	concluded	conclude	VERB
fumecheng-2259	424	4	that	that	SCONJ
fumecheng-2259	424	5	the	the	DET
fumecheng-2259	424	6	presented	present	VERB
fumecheng-2259	424	7	results	result	NOUN
fumecheng-2259	424	8	are	be	AUX
fumecheng-2259	424	9	in	in	ADP
fumecheng-2259	424	10	perfect	perfect	ADJ
fumecheng-2259	424	11	agreement	agreement	NOUN
fumecheng-2259	424	12	with	with	ADP
fumecheng-2259	424	13	the	the	DET
fumecheng-2259	424	14	results	result	NOUN
fumecheng-2259	424	15	observed	observe	VERB
fumecheng-2259	424	16	in	in	ADP
fumecheng-2259	424	17	ke	ke	PROPN
fumecheng-2259	424	18	et	et	PROPN
fumecheng-2259	424	19	al	al	PROPN
fumecheng-2259	424	20	.	.	PUNCT
fumecheng-2259	425	1	[	[	X
fumecheng-2259	425	2	24	24	NUM
fumecheng-2259	425	3	]	]	PUNCT
fumecheng-2259	425	4	.	.	PUNCT
fumecheng-2259	426	1	it	it	PRON
fumecheng-2259	426	2	is	be	AUX
fumecheng-2259	426	3	shown	show	VERB
fumecheng-2259	426	4	that	that	SCONJ
fumecheng-2259	426	5	the	the	DET
fumecheng-2259	426	6	inclusion	inclusion	NOUN
fumecheng-2259	426	7	of	of	ADP
fumecheng-2259	426	8	the	the	DET
fumecheng-2259	426	9	thermal	thermal	ADJ
fumecheng-2259	426	10	effect	effect	NOUN
fumecheng-2259	426	11	decreases	decrease	VERB
fumecheng-2259	426	12	the	the	DET
fumecheng-2259	426	13	frequencies	frequency	NOUN
fumecheng-2259	426	14	of	of	ADP
fumecheng-2259	426	15	the	the	DET
fumecheng-2259	426	16	microbeam	microbeam	NOUN
fumecheng-2259	426	17	one	one	NUM
fumecheng-2259	426	18	.	.	PUNCT
fumecheng-2259	427	1	also	also	ADV
fumecheng-2259	427	2	,	,	PUNCT
fumecheng-2259	427	3	the	the	DET
fumecheng-2259	427	4	effect	effect	NOUN
fumecheng-2259	427	5	of	of	ADP
fumecheng-2259	427	6	pasternak	pasternak	PROPN
fumecheng-2259	427	7	parameter	parameter	PROPN
fumecheng-2259	427	8	kp	kp	PROPN
fumecheng-2259	427	9	for	for	ADP
fumecheng-2259	427	10	a	a	DET
fumecheng-2259	427	11	greater	great	ADJ
fumecheng-2259	427	12	mode	mode	NOUN
fumecheng-2259	427	13	leads	lead	VERB
fumecheng-2259	427	14	to	to	ADP
fumecheng-2259	427	15	an	an	DET
fumecheng-2259	427	16	increase	increase	NOUN
fumecheng-2259	427	17	in	in	ADP
fumecheng-2259	427	18	natural	natural	ADJ
fumecheng-2259	427	19	frequencies	frequency	NOUN
fumecheng-2259	427	20	,	,	PUNCT
fumecheng-2259	427	21	but	but	CCONJ
fumecheng-2259	427	22	including	include	VERB
fumecheng-2259	427	23	the	the	DET
fumecheng-2259	427	24	temperature	temperature	NOUN
fumecheng-2259	427	25	change	change	NOUN
fumecheng-2259	427	26	,	,	PUNCT
fumecheng-2259	427	27	the	the	DET
fumecheng-2259	427	28	frequency	frequency	NOUN
fumecheng-2259	427	29	is	be	AUX
fumecheng-2259	427	30	decreased	decrease	VERB
fumecheng-2259	427	31	and	and	CCONJ
fumecheng-2259	427	32	leads	lead	VERB
fumecheng-2259	427	33	to	to	ADP
fumecheng-2259	427	34	the	the	DET
fumecheng-2259	427	35	decreased	decrease	VERB
fumecheng-2259	427	36	stiffness	stiffness	NOUN
fumecheng-2259	427	37	of	of	ADP
fumecheng-2259	427	38	the	the	DET
fumecheng-2259	427	39	system	system	NOUN
fumecheng-2259	427	40	.	.	PUNCT
fumecheng-2259	428	1	the	the	DET
fumecheng-2259	428	2	numerical	numerical	ADJ
fumecheng-2259	428	3	results	result	NOUN
fumecheng-2259	428	4	obtained	obtain	VERB
fumecheng-2259	428	5	for	for	ADP
fumecheng-2259	428	6	the	the	DET
fumecheng-2259	428	7	natural	natural	ADJ
fumecheng-2259	428	8	frequency	frequency	NOUN
fumecheng-2259	428	9	with	with	ADP
fumecheng-2259	428	10	poisson	poisson	PROPN
fumecheng-2259	428	11	’s	’s	PART
fumecheng-2259	428	12	effect	effect	NOUN
fumecheng-2259	428	13	and	and	CCONJ
fumecheng-2259	428	14	suggested	suggest	VERB
fumecheng-2259	428	15	by	by	ADP
fumecheng-2259	428	16	the	the	DET
fumecheng-2259	428	17	present	present	ADJ
fumecheng-2259	428	18	euler	euler	PROPN
fumecheng-2259	428	19	-	-	PUNCT
fumecheng-2259	428	20	bernoulli	bernoulli	PROPN
fumecheng-2259	428	21	beam	beam	NOUN
fumecheng-2259	428	22	model	model	NOUN
fumecheng-2259	428	23	are	be	AUX
fumecheng-2259	428	24	always	always	ADV
fumecheng-2259	428	25	higher	high	ADJ
fumecheng-2259	428	26	than	than	ADP
fumecheng-2259	428	27	those	those	PRON
fumecheng-2259	428	28	without	without	ADP
fumecheng-2259	428	29	poisson	poisson	NOUN
fumecheng-2259	428	30	’s	’s	PART
fumecheng-2259	428	31	effect	effect	NOUN
fumecheng-2259	428	32	.	.	PUNCT
fumecheng-2259	429	1	the	the	DET
fumecheng-2259	429	2	thermal	thermal	ADJ
fumecheng-2259	429	3	effect	effect	NOUN
fumecheng-2259	429	4	on	on	ADP
fumecheng-2259	429	5	the	the	DET
fumecheng-2259	429	6	natural	natural	ADJ
fumecheng-2259	429	7	frequency	frequency	NOUN
fumecheng-2259	429	8	is	be	AUX
fumecheng-2259	429	9	very	very	ADV
fumecheng-2259	429	10	low	low	ADJ
fumecheng-2259	429	11	for	for	ADP
fumecheng-2259	429	12	the	the	DET
fumecheng-2259	429	13	microbeam	microbeam	NOUN
fumecheng-2259	429	14	one	one	NUM
fumecheng-2259	429	15	of	of	ADP
fumecheng-2259	429	16	the	the	DET
fumecheng-2259	429	17	ebdmbs	ebdmb	NOUN
fumecheng-2259	429	18	and	and	CCONJ
fumecheng-2259	429	19	with	with	ADP
fumecheng-2259	429	20	a	a	DET
fumecheng-2259	429	21	small	small	ADJ
fumecheng-2259	429	22	ratio	ratio	NOUN
fumecheng-2259	429	23	of	of	ADP
fumecheng-2259	429	24	h	h	NOUN
fumecheng-2259	429	25	/	/	SYM
fumecheng-2259	429	26	l	l	NOUN
fumecheng-2259	429	27	,	,	PUNCT
fumecheng-2259	429	28	while	while	SCONJ
fumecheng-2259	429	29	it	it	PRON
fumecheng-2259	429	30	is	be	AUX
fumecheng-2259	429	31	significant	significant	ADJ
fumecheng-2259	429	32	for	for	ADP
fumecheng-2259	429	33	the	the	DET
fumecheng-2259	429	34	microbeam	microbeam	NOUN
fumecheng-2259	429	35	with	with	ADP
fumecheng-2259	429	36	a	a	DET
fumecheng-2259	429	37	large	large	ADJ
fumecheng-2259	429	38	ratio	ratio	NOUN
fumecheng-2259	429	39	of	of	ADP
fumecheng-2259	429	40	h	h	PROPN
fumecheng-2259	429	41	/	/	SYM
fumecheng-2259	429	42	l.	l.	PROPN
fumecheng-2259	429	43	the	the	DET
fumecheng-2259	429	44	impact	impact	NOUN
fumecheng-2259	429	45	of	of	ADP
fumecheng-2259	429	46	the	the	DET
fumecheng-2259	429	47	compressive	compressive	ADJ
fumecheng-2259	429	48	axial	axial	ADJ
fumecheng-2259	429	49	loading	loading	NOUN
fumecheng-2259	429	50	on	on	ADP
fumecheng-2259	429	51	the	the	DET
fumecheng-2259	429	52	natural	natural	ADJ
fumecheng-2259	429	53	frequencies	frequency	NOUN
fumecheng-2259	429	54	of	of	ADP
fumecheng-2259	429	55	the	the	DET
fumecheng-2259	429	56	ebdmbs	ebdmbs	ADJ
fumecheng-2259	429	57	transverse	transverse	NOUN
fumecheng-2259	429	58	vibration	vibration	NOUN
fumecheng-2259	429	59	leads	lead	VERB
fumecheng-2259	429	60	to	to	ADP
fumecheng-2259	429	61	the	the	DET
fumecheng-2259	429	62	following	follow	VERB
fumecheng-2259	429	63	observations	observation	NOUN
fumecheng-2259	429	64	:	:	PUNCT
fumecheng-2259	429	65			X
fumecheng-2259	430	1	the	the	DET
fumecheng-2259	430	2	temperature	temperature	NOUN
fumecheng-2259	430	3	change	change	NOUN
fumecheng-2259	430	4	effect	effect	NOUN
fumecheng-2259	430	5	has	have	VERB
fumecheng-2259	430	6	an	an	DET
fumecheng-2259	430	7	impact	impact	NOUN
fumecheng-2259	430	8	on	on	ADP
fumecheng-2259	430	9	both	both	DET
fumecheng-2259	430	10	microbeams	microbeam	NOUN
fumecheng-2259	430	11	.	.	PUNCT
fumecheng-2259	431	1			X
fumecheng-2259	432	1	the	the	DET
fumecheng-2259	432	2	lower	low	ADJ
fumecheng-2259	432	3	and	and	CCONJ
fumecheng-2259	432	4	higher	high	ADJ
fumecheng-2259	432	5	natural	natural	ADJ
fumecheng-2259	432	6	frequency	frequency	NOUN
fumecheng-2259	432	7	under	under	ADP
fumecheng-2259	432	8	the	the	DET
fumecheng-2259	432	9	compressive	compressive	ADJ
fumecheng-2259	432	10	axial	axial	ADJ
fumecheng-2259	432	11	loading	loading	NOUN
fumecheng-2259	432	12	decrease	decrease	NOUN
fumecheng-2259	432	13	with	with	ADP
fumecheng-2259	432	14	increasing	increase	VERB
fumecheng-2259	432	15	axial	axial	ADJ
fumecheng-2259	432	16	compressive	compressive	ADJ
fumecheng-2259	432	17	load	load	NOUN
fumecheng-2259	432	18	and	and	CCONJ
fumecheng-2259	432	19	also	also	ADV
fumecheng-2259	432	20	decrease	decrease	VERB
fumecheng-2259	432	21	with	with	ADP
fumecheng-2259	432	22	a	a	DET
fumecheng-2259	432	23	temperature	temperature	NOUN
fumecheng-2259	432	24	change	change	NOUN
fumecheng-2259	432	25	increase	increase	NOUN
fumecheng-2259	432	26	.	.	PUNCT
fumecheng-2259	433	1	the	the	DET
fumecheng-2259	433	2	reason	reason	NOUN
fumecheng-2259	433	3	for	for	ADP
fumecheng-2259	433	4	that	that	PRON
fumecheng-2259	433	5	is	be	AUX
fumecheng-2259	433	6	that	that	SCONJ
fumecheng-2259	433	7	the	the	DET
fumecheng-2259	433	8	thermal	thermal	ADJ
fumecheng-2259	433	9	effect	effect	NOUN
fumecheng-2259	433	10	leads	lead	VERB
fumecheng-2259	433	11	to	to	ADP
fumecheng-2259	433	12	the	the	DET
fumecheng-2259	433	13	reduction	reduction	NOUN
fumecheng-2259	433	14	in	in	ADP
fumecheng-2259	433	15	stiffness	stiffness	NOUN
fumecheng-2259	433	16	and	and	CCONJ
fumecheng-2259	433	17	such	such	DET
fumecheng-2259	433	18	a	a	DET
fumecheng-2259	433	19	behavior	behavior	NOUN
fumecheng-2259	433	20	leads	lead	VERB
fumecheng-2259	433	21	to	to	ADP
fumecheng-2259	433	22	the	the	DET
fumecheng-2259	433	23	softening	softening	NOUN
fumecheng-2259	433	24	of	of	ADP
fumecheng-2259	433	25	the	the	DET
fumecheng-2259	433	26	materials	material	NOUN
fumecheng-2259	433	27	of	of	ADP
fumecheng-2259	433	28	the	the	DET
fumecheng-2259	433	29	ebdmbs	ebdmb	NOUN
fumecheng-2259	433	30	.	.	PUNCT
fumecheng-2259	433	31			PUNCT
fumecheng-2259	434	1	the	the	DET
fumecheng-2259	434	2	effect	effect	NOUN
fumecheng-2259	434	3	of	of	ADP
fumecheng-2259	434	4	the	the	DET
fumecheng-2259	434	5	compressive	compressive	ADJ
fumecheng-2259	434	6	axial	axial	ADJ
fumecheng-2259	434	7	loading	loading	NOUN
fumecheng-2259	434	8	on	on	ADP
fumecheng-2259	434	9	the	the	DET
fumecheng-2259	434	10	lower	low	ADJ
fumecheng-2259	434	11	natural	natural	ADJ
fumecheng-2259	434	12	frequency	frequency	NOUN
fumecheng-2259	434	13	is	be	AUX
fumecheng-2259	434	14	almost	almost	ADV
fumecheng-2259	434	15	independent	independent	ADJ
fumecheng-2259	434	16	of	of	ADP
fumecheng-2259	434	17	the	the	DET
fumecheng-2259	434	18	axial	axial	ADJ
fumecheng-2259	434	19	compression	compression	NOUN
fumecheng-2259	434	20	ratio	ratio	NOUN
fumecheng-2259	434	21	,	,	PUNCT
fumecheng-2259	434	22	whereas	whereas	SCONJ
fumecheng-2259	434	23	on	on	ADP
fumecheng-2259	434	24	the	the	DET
fumecheng-2259	434	25	higher	high	ADJ
fumecheng-2259	434	26	natural	natural	ADJ
fumecheng-2259	434	27	frequency	frequency	NOUN
fumecheng-2259	434	28	it	it	PRON
fumecheng-2259	434	29	depends	depend	VERB
fumecheng-2259	434	30	on	on	ADP
fumecheng-2259	434	31	it	it	PRON
fumecheng-2259	434	32	.	.	PUNCT
fumecheng-2259	435	1			PUNCT
fumecheng-2259	436	1	for	for	ADP
fumecheng-2259	436	2	a	a	DET
fumecheng-2259	436	3	higher	high	ADJ
fumecheng-2259	436	4	value	value	NOUN
fumecheng-2259	436	5	of	of	ADP
fumecheng-2259	436	6	the	the	DET
fumecheng-2259	436	7	pasternak	pasternak	PROPN
fumecheng-2259	436	8	parameter	parameter	NOUN
fumecheng-2259	436	9	,	,	PUNCT
fumecheng-2259	436	10	the	the	DET
fumecheng-2259	436	11	critical	critical	ADJ
fumecheng-2259	436	12	buckling	buckling	NOUN
fumecheng-2259	436	13	load	load	NOUN
fumecheng-2259	436	14	has	have	VERB
fumecheng-2259	436	15	a	a	DET
fumecheng-2259	436	16	higher	high	ADJ
fumecheng-2259	436	17	value	value	NOUN
fumecheng-2259	436	18	which	which	PRON
fumecheng-2259	436	19	decreases	decrease	VERB
fumecheng-2259	436	20	with	with	ADP
fumecheng-2259	436	21	increasing	increase	VERB
fumecheng-2259	436	22	temperature	temperature	NOUN
fumecheng-2259	436	23	change	change	NOUN
fumecheng-2259	436	24	.	.	PUNCT
fumecheng-2259	437	1			VERB
fumecheng-2259	438	1	the	the	DET
fumecheng-2259	438	2	critical	critical	ADJ
fumecheng-2259	438	3	buckling	buckling	NOUN
fumecheng-2259	438	4	temperature	temperature	NOUN
fumecheng-2259	438	5	for	for	ADP
fumecheng-2259	438	6	the	the	DET
fumecheng-2259	438	7	presented	present	VERB
fumecheng-2259	438	8	systems	system	NOUN
fumecheng-2259	438	9	is	be	AUX
fumecheng-2259	438	10	always	always	ADV
fumecheng-2259	438	11	lower	low	ADJ
fumecheng-2259	438	12	than	than	ADP
fumecheng-2259	438	13	for	for	ADP
fumecheng-2259	438	14	the	the	DET
fumecheng-2259	438	15	classical	classical	ADJ
fumecheng-2259	438	16	theories	theory	NOUN
fumecheng-2259	438	17	.	.	PUNCT
fumecheng-2259	439	1			X
fumecheng-2259	440	1	the	the	DET
fumecheng-2259	440	2	critical	critical	ADJ
fumecheng-2259	440	3	scale	scale	NOUN
fumecheng-2259	440	4	load	load	NOUN
fumecheng-2259	440	5	ratio	ratio	NOUN
fumecheng-2259	440	6	of	of	ADP
fumecheng-2259	440	7	the	the	DET
fumecheng-2259	440	8	modified	modified	ADJ
fumecheng-2259	440	9	and	and	CCONJ
fumecheng-2259	440	10	the	the	DET
fumecheng-2259	440	11	local	local	ADJ
fumecheng-2259	440	12	critical	critical	ADJ
fumecheng-2259	440	13	buckling	buckling	NOUN
fumecheng-2259	440	14	loads	load	NOUN
fumecheng-2259	440	15	at	at	ADP
fumecheng-2259	440	16	the	the	DET
fumecheng-2259	440	17	low	low	ADJ
fumecheng-2259	440	18	temperature	temperature	NOUN
fumecheng-2259	440	19	environs	environ	NOUN
fumecheng-2259	440	20	increases	increase	VERB
fumecheng-2259	440	21	with	with	ADP
fumecheng-2259	440	22	the	the	DET
fumecheng-2259	440	23	increasing	increase	VERB
fumecheng-2259	440	24	length	length	NOUN
fumecheng-2259	440	25	scale	scale	NOUN
fumecheng-2259	440	26	parameter	parameter	NOUN
fumecheng-2259	440	27	.	.	PUNCT
fumecheng-2259	441	1	all	all	DET
fumecheng-2259	441	2	these	these	DET
fumecheng-2259	441	3	observations	observation	NOUN
fumecheng-2259	441	4	can	can	AUX
fumecheng-2259	441	5	be	be	AUX
fumecheng-2259	441	6	useful	useful	ADJ
fumecheng-2259	441	7	for	for	ADP
fumecheng-2259	441	8	modern	modern	ADJ
fumecheng-2259	441	9	electromechanical	electromechanical	ADJ
fumecheng-2259	441	10	systems	system	NOUN
fumecheng-2259	441	11	.	.	PUNCT
fumecheng-2259	442	1	physical	physical	ADJ
fumecheng-2259	442	2	views	view	NOUN
fumecheng-2259	442	3	of	of	ADP
fumecheng-2259	442	4	this	this	DET
fumecheng-2259	442	5	paper	paper	NOUN
fumecheng-2259	442	6	may	may	AUX
fumecheng-2259	442	7	be	be	AUX
fumecheng-2259	442	8	useful	useful	ADJ
fumecheng-2259	442	9	for	for	ADP
fumecheng-2259	442	10	the	the	DET
fumecheng-2259	442	11	design	design	NOUN
fumecheng-2259	442	12	and	and	CCONJ
fumecheng-2259	442	13	vibration	vibration	NOUN
fumecheng-2259	442	14	analysis	analysis	NOUN
fumecheng-2259	442	15	of	of	ADP
fumecheng-2259	442	16	microresonators	microresonator	NOUN
fumecheng-2259	442	17	and	and	CCONJ
fumecheng-2259	442	18	microsensors	microsensor	NOUN
fumecheng-2259	442	19	applications	application	NOUN
fumecheng-2259	442	20	.	.	PUNCT
fumecheng-2259	443	1	we	we	PRON
fumecheng-2259	443	2	have	have	AUX
fumecheng-2259	443	3	shown	show	VERB
fumecheng-2259	443	4	that	that	SCONJ
fumecheng-2259	443	5	using	use	VERB
fumecheng-2259	443	6	the	the	DET
fumecheng-2259	443	7	presented	present	VERB
fumecheng-2259	443	8	system	system	NOUN
fumecheng-2259	443	9	with	with	ADP
fumecheng-2259	443	10	the	the	DET
fumecheng-2259	443	11	temperature	temperature	NOUN
fumecheng-2259	443	12	change	change	NOUN
fumecheng-2259	443	13	leads	lead	VERB
fumecheng-2259	443	14	to	to	ADP
fumecheng-2259	443	15	considerable	considerable	ADJ
fumecheng-2259	443	16	changes	change	NOUN
fumecheng-2259	443	17	in	in	ADP
fumecheng-2259	443	18	stiffness	stiffness	NOUN
fumecheng-2259	443	19	,	,	PUNCT
fumecheng-2259	443	20	i.e.	i.e.	X
fumecheng-2259	443	21	the	the	DET
fumecheng-2259	443	22	thermal	thermal	ADJ
fumecheng-2259	443	23	effect	effect	NOUN
fumecheng-2259	443	24	leads	lead	VERB
fumecheng-2259	443	25	to	to	ADP
fumecheng-2259	443	26	the	the	DET
fumecheng-2259	443	27	reduction	reduction	NOUN
fumecheng-2259	443	28	in	in	ADP
fumecheng-2259	443	29	stiffness	stiffness	NOUN
fumecheng-2259	443	30	and	and	CCONJ
fumecheng-2259	443	31	such	such	DET
fumecheng-2259	443	32	a	a	DET
fumecheng-2259	443	33	behavior	behavior	NOUN
fumecheng-2259	443	34	leads	lead	VERB
fumecheng-2259	443	35	to	to	ADP
fumecheng-2259	443	36	the	the	DET
fumecheng-2259	443	37	softening	softening	NOUN
fumecheng-2259	443	38	of	of	ADP
fumecheng-2259	443	39	the	the	DET
fumecheng-2259	443	40	materials	material	NOUN
fumecheng-2259	443	41	of	of	ADP
fumecheng-2259	443	42	the	the	DET
fumecheng-2259	443	43	ebdmbs	ebdmb	NOUN
fumecheng-2259	443	44	.	.	PUNCT
fumecheng-2259	444	1	acknowledgements	acknowledgement	NOUN
fumecheng-2259	444	2	:	:	PUNCT
fumecheng-2259	444	3	this	this	DET
fumecheng-2259	444	4	research	research	NOUN
fumecheng-2259	444	5	is	be	AUX
fumecheng-2259	444	6	supported	support	VERB
fumecheng-2259	444	7	by	by	ADP
fumecheng-2259	444	8	the	the	DET
fumecheng-2259	444	9	research	research	NOUN
fumecheng-2259	444	10	grant	grant	NOUN
fumecheng-2259	444	11	of	of	ADP
fumecheng-2259	444	12	the	the	DET
fumecheng-2259	444	13	serbian	serbian	PROPN
fumecheng-2259	444	14	ministry	ministry	PROPN
fumecheng-2259	444	15	of	of	ADP
fumecheng-2259	444	16	science	science	PROPN
fumecheng-2259	444	17	and	and	CCONJ
fumecheng-2259	445	1	environmental	environmental	ADJ
fumecheng-2259	445	2	protection	protection	NOUN
fumecheng-2259	445	3	under	under	ADP
fumecheng-2259	445	4	the	the	DET
fumecheng-2259	445	5	numbers	number	NOUN
fumecheng-2259	445	6	oi	oi	X
fumecheng-2259	445	7	174001	174001	NUM
fumecheng-2259	445	8	and	and	CCONJ
fumecheng-2259	445	9	oi	oi	PROPN
fumecheng-2259	445	10	174011	174011	NUM
fumecheng-2259	445	11	.	.	PUNCT
fumecheng-2259	446	1	thermal	thermal	ADJ
fumecheng-2259	446	2	effect	effect	NOUN
fumecheng-2259	446	3	on	on	ADP
fumecheng-2259	446	4	the	the	DET
fumecheng-2259	446	5	free	free	ADJ
fumecheng-2259	446	6	vibration	vibration	NOUN
fumecheng-2259	446	7	and	and	CCONJ
fumecheng-2259	446	8	buckling	buckling	NOUN
fumecheng-2259	446	9	of	of	ADP
fumecheng-2259	446	10	a	a	DET
fumecheng-2259	446	11	double	double	ADJ
fumecheng-2259	446	12	-	-	PUNCT
fumecheng-2259	446	13	microbeam	microbeam	NOUN
fumecheng-2259	446	14	system	system	NOUN
fumecheng-2259	446	15	61	61	NUM
fumecheng-2259	446	16	references	reference	NOUN
fumecheng-2259	446	17	1	1	NUM
fumecheng-2259	446	18	.	.	PUNCT
fumecheng-2259	447	1	lam	lam	PROPN
fumecheng-2259	447	2	,	,	PUNCT
fumecheng-2259	447	3	d.	d.	PROPN
fumecheng-2259	447	4	c.	c.	PROPN
fumecheng-2259	447	5	c.	c.	PROPN
fumecheng-2259	447	6	,	,	PUNCT
fumecheng-2259	447	7	yang	yang	PROPN
fumecheng-2259	447	8	,	,	PUNCT
fumecheng-2259	447	9	f.	f.	PROPN
fumecheng-2259	447	10	,	,	PUNCT
fumecheng-2259	447	11	chong	chong	PROPN
fumecheng-2259	447	12	,	,	PUNCT
fumecheng-2259	447	13	a.	a.	PROPN
fumecheng-2259	447	14	c.	c.	PROPN
fumecheng-2259	447	15	m.	m.	PROPN
fumecheng-2259	447	16	,	,	PUNCT
fumecheng-2259	447	17	wang	wang	PROPN
fumecheng-2259	447	18	,	,	PUNCT
fumecheng-2259	447	19	j.	j.	PROPN
fumecheng-2259	447	20	,	,	PUNCT
fumecheng-2259	447	21	tong	tong	PROPN
fumecheng-2259	447	22	,	,	PUNCT
fumecheng-2259	447	23	p.	p.	PROPN
fumecheng-2259	447	24	,	,	PUNCT
fumecheng-2259	447	25	2003	2003	NUM
fumecheng-2259	447	26	,	,	PUNCT
fumecheng-2259	447	27	experiments	experiment	NOUN
fumecheng-2259	447	28	and	and	CCONJ
fumecheng-2259	447	29	theory	theory	NOUN
fumecheng-2259	447	30	in	in	ADP
fumecheng-2259	447	31	strain	strain	NOUN
fumecheng-2259	447	32	gradient	gradient	ADJ
fumecheng-2259	447	33	elasticity	elasticity	NOUN
fumecheng-2259	447	34	,	,	PUNCT
fumecheng-2259	447	35	journal	journal	NOUN
fumecheng-2259	447	36	of	of	ADP
fumecheng-2259	447	37	the	the	DET
fumecheng-2259	447	38	mechanics	mechanic	NOUN
fumecheng-2259	447	39	and	and	CCONJ
fumecheng-2259	447	40	physics	physic	NOUN
fumecheng-2259	447	41	of	of	ADP
fumecheng-2259	447	42	solids	solid	NOUN
fumecheng-2259	447	43	,	,	PUNCT
fumecheng-2259	447	44	51(8	51(8	NUM
fumecheng-2259	447	45	)	)	PUNCT
fumecheng-2259	447	46	,	,	PUNCT
fumecheng-2259	447	47	pp	pp	ADP
fumecheng-2259	447	48	.	.	PUNCT
fumecheng-2259	447	49	1477	1477	NUM
fumecheng-2259	447	50	-	-	SYM
fumecheng-2259	447	51	1508	1508	NUM
fumecheng-2259	447	52	.	.	PUNCT
fumecheng-2259	448	1	2	2	X
fumecheng-2259	448	2	.	.	X
fumecheng-2259	448	3	gallacher	gallacher	PROPN
fumecheng-2259	448	4	,	,	PUNCT
fumecheng-2259	448	5	b.	b.	PROPN
fumecheng-2259	448	6	j.	j.	PROPN
fumecheng-2259	448	7	,	,	PUNCT
fumecheng-2259	448	8	burdess	burdess	PROPN
fumecheng-2259	448	9	,	,	PUNCT
fumecheng-2259	448	10	j.	j.	PROPN
fumecheng-2259	448	11	s.	s.	PROPN
fumecheng-2259	448	12	,	,	PUNCT
fumecheng-2259	448	13	harish	harish	PROPN
fumecheng-2259	448	14	,	,	PUNCT
fumecheng-2259	448	15	k.	k.	PROPN
fumecheng-2259	448	16	m.	m.	PROPN
fumecheng-2259	448	17	,	,	PUNCT
fumecheng-2259	448	18	2006	2006	NUM
fumecheng-2259	448	19	,	,	PUNCT
fumecheng-2259	448	20	a	a	DET
fumecheng-2259	448	21	control	control	NOUN
fumecheng-2259	448	22	scheme	scheme	NOUN
fumecheng-2259	448	23	for	for	ADP
fumecheng-2259	448	24	a	a	DET
fumecheng-2259	448	25	mems	mem	NOUN
fumecheng-2259	448	26	electrostatic	electrostatic	ADJ
fumecheng-2259	448	27	resonant	resonant	NOUN
fumecheng-2259	448	28	gyroscope	gyroscope	NOUN
fumecheng-2259	448	29	excited	excited	ADJ
fumecheng-2259	448	30	using	use	VERB
fumecheng-2259	448	31	combined	combine	VERB
fumecheng-2259	448	32	parametric	parametric	ADJ
fumecheng-2259	448	33	excitation	excitation	NOUN
fumecheng-2259	448	34	and	and	CCONJ
fumecheng-2259	448	35	harmonic	harmonic	ADJ
fumecheng-2259	448	36	forcing	forcing	NOUN
fumecheng-2259	448	37	,	,	PUNCT
fumecheng-2259	448	38	journal	journal	NOUN
fumecheng-2259	448	39	of	of	ADP
fumecheng-2259	448	40	micromechanics	micromechanic	NOUN
fumecheng-2259	448	41	and	and	CCONJ
fumecheng-2259	448	42	microengineering	microengineering	NOUN
fumecheng-2259	448	43	,	,	PUNCT
fumecheng-2259	448	44	16(2	16(2	NUM
fumecheng-2259	448	45	)	)	PUNCT
fumecheng-2259	448	46	,	,	PUNCT
fumecheng-2259	448	47	320	320	NUM
fumecheng-2259	448	48	.	.	NOUN
fumecheng-2259	449	1	3	3	NUM
fumecheng-2259	449	2	.	.	X
fumecheng-2259	449	3	kacem	kacem	PROPN
fumecheng-2259	449	4	,	,	PUNCT
fumecheng-2259	449	5	n.	n.	PROPN
fumecheng-2259	449	6	,	,	PUNCT
fumecheng-2259	449	7	baguet	baguet	PROPN
fumecheng-2259	449	8	,	,	PUNCT
fumecheng-2259	449	9	s.	s.	PROPN
fumecheng-2259	449	10	,	,	PUNCT
fumecheng-2259	449	11	hentz	hentz	PROPN
fumecheng-2259	449	12	,	,	PUNCT
fumecheng-2259	449	13	s.	s.	PROPN
fumecheng-2259	449	14	,	,	PUNCT
fumecheng-2259	449	15	dufour	dufour	PROPN
fumecheng-2259	449	16	,	,	PUNCT
fumecheng-2259	449	17	r.	r.	PROPN
fumecheng-2259	449	18	,	,	PUNCT
fumecheng-2259	449	19	2011	2011	NUM
fumecheng-2259	449	20	,	,	PUNCT
fumecheng-2259	449	21	computational	computational	ADJ
fumecheng-2259	449	22	and	and	CCONJ
fumecheng-2259	449	23	quasi	quasi	ADJ
fumecheng-2259	449	24	-	-	ADJ
fumecheng-2259	449	25	analytical	analytical	ADJ
fumecheng-2259	449	26	models	model	NOUN
fumecheng-2259	449	27	for	for	ADP
fumecheng-2259	449	28	nonlinear	nonlinear	ADJ
fumecheng-2259	449	29	vibrations	vibration	NOUN
fumecheng-2259	449	30	of	of	ADP
fumecheng-2259	449	31	resonant	resonant	ADJ
fumecheng-2259	449	32	mems	mem	NOUN
fumecheng-2259	449	33	and	and	CCONJ
fumecheng-2259	449	34	nems	nem	NOUN
fumecheng-2259	449	35	sensors	sensor	NOUN
fumecheng-2259	449	36	,	,	PUNCT
fumecheng-2259	449	37	international	international	ADJ
fumecheng-2259	449	38	journal	journal	NOUN
fumecheng-2259	449	39	of	of	ADP
fumecheng-2259	449	40	non	non	ADJ
fumecheng-2259	449	41	-	-	ADJ
fumecheng-2259	449	42	linear	linear	ADJ
fumecheng-2259	449	43	mechanics	mechanic	NOUN
fumecheng-2259	449	44	,	,	PUNCT
fumecheng-2259	449	45	46(3	46(3	NOUN
fumecheng-2259	449	46	)	)	PUNCT
fumecheng-2259	449	47	,	,	PUNCT
fumecheng-2259	449	48	pp	pp	ADP
fumecheng-2259	449	49	.	.	PUNCT
fumecheng-2259	450	1	532	532	NUM
fumecheng-2259	450	2	-	-	SYM
fumecheng-2259	450	3	542	542	NUM
fumecheng-2259	450	4	.	.	NOUN
fumecheng-2259	451	1	4	4	NUM
fumecheng-2259	451	2	.	.	X
fumecheng-2259	451	3	harish	harish	PROPN
fumecheng-2259	451	4	,	,	PUNCT
fumecheng-2259	451	5	k.	k.	PROPN
fumecheng-2259	451	6	m.	m.	PROPN
fumecheng-2259	451	7	,	,	PUNCT
fumecheng-2259	451	8	gallacher	gallacher	PROPN
fumecheng-2259	451	9	,	,	PUNCT
fumecheng-2259	451	10	b.	b.	PROPN
fumecheng-2259	451	11	j.	j.	PROPN
fumecheng-2259	451	12	,	,	PUNCT
fumecheng-2259	451	13	burdess	burdess	PROPN
fumecheng-2259	451	14	,	,	PUNCT
fumecheng-2259	451	15	j.	j.	PROPN
fumecheng-2259	451	16	s.	s.	PROPN
fumecheng-2259	451	17	,	,	PUNCT
fumecheng-2259	451	18	neasham	neasham	PROPN
fumecheng-2259	451	19	,	,	PUNCT
fumecheng-2259	451	20	j.	j.	PROPN
fumecheng-2259	451	21	a.	a.	PROPN
fumecheng-2259	451	22	,	,	PUNCT
fumecheng-2259	451	23	2009	2009	NUM
fumecheng-2259	451	24	,	,	PUNCT
fumecheng-2259	451	25	experimental	experimental	ADJ
fumecheng-2259	451	26	investigation	investigation	NOUN
fumecheng-2259	451	27	of	of	ADP
fumecheng-2259	451	28	parametric	parametric	ADJ
fumecheng-2259	451	29	and	and	CCONJ
fumecheng-2259	451	30	externally	externally	ADV
fumecheng-2259	451	31	forced	force	VERB
fumecheng-2259	451	32	motion	motion	NOUN
fumecheng-2259	451	33	in	in	ADP
fumecheng-2259	451	34	resonant	resonant	ADJ
fumecheng-2259	451	35	mems	mem	NOUN
fumecheng-2259	451	36	sensors	sensor	NOUN
fumecheng-2259	451	37	,	,	PUNCT
fumecheng-2259	451	38	journal	journal	NOUN
fumecheng-2259	451	39	of	of	ADP
fumecheng-2259	451	40	micromechanics	micromechanic	NOUN
fumecheng-2259	451	41	and	and	CCONJ
fumecheng-2259	451	42	microengineering	microengineering	NOUN
fumecheng-2259	451	43	,	,	PUNCT
fumecheng-2259	451	44	19(1	19(1	NUM
fumecheng-2259	451	45	)	)	PUNCT
fumecheng-2259	451	46	,	,	PUNCT
fumecheng-2259	451	47	015021	015021	NUM
fumecheng-2259	451	48	.	.	PUNCT
fumecheng-2259	452	1	5	5	X
fumecheng-2259	452	2	.	.	X
fumecheng-2259	452	3	magrab	magrab	PROPN
fumecheng-2259	452	4	,	,	PUNCT
fumecheng-2259	452	5	e.	e.	PROPN
fumecheng-2259	452	6	b.	b.	PROPN
fumecheng-2259	452	7	,	,	PUNCT
fumecheng-2259	452	8	2012	2012	NUM
fumecheng-2259	452	9	,	,	PUNCT
fumecheng-2259	452	10	vibrations	vibration	NOUN
fumecheng-2259	452	11	of	of	ADP
fumecheng-2259	452	12	elastic	elastic	ADJ
fumecheng-2259	452	13	systems	system	NOUN
fumecheng-2259	452	14	:	:	PUNCT
fumecheng-2259	452	15	with	with	ADP
fumecheng-2259	452	16	applications	application	NOUN
fumecheng-2259	452	17	to	to	ADP
fumecheng-2259	452	18	mems	mem	NOUN
fumecheng-2259	452	19	and	and	CCONJ
fumecheng-2259	452	20	nems	nem	NOUN
fumecheng-2259	452	21	,	,	PUNCT
fumecheng-2259	452	22	vol	vol	NOUN
fumecheng-2259	452	23	.	.	PROPN
fumecheng-2259	453	1	184	184	NUM
fumecheng-2259	453	2	,	,	PUNCT
fumecheng-2259	453	3	springer	springer	NOUN
fumecheng-2259	453	4	.	.	PUNCT
fumecheng-2259	454	1	6	6	X
fumecheng-2259	454	2	.	.	X
fumecheng-2259	454	3	ilic	ilic	PROPN
fumecheng-2259	454	4	,	,	PUNCT
fumecheng-2259	454	5	b.	b.	PROPN
fumecheng-2259	454	6	,	,	PUNCT
fumecheng-2259	454	7	krylov	krylov	PROPN
fumecheng-2259	454	8	,	,	PUNCT
fumecheng-2259	454	9	s.	s.	PROPN
fumecheng-2259	454	10	,	,	PUNCT
fumecheng-2259	454	11	bellan	bellan	NOUN
fumecheng-2259	454	12	,	,	PUNCT
fumecheng-2259	454	13	l.	l.	PROPN
fumecheng-2259	454	14	m.	m.	PROPN
fumecheng-2259	454	15	,	,	PUNCT
fumecheng-2259	454	16	craighead	craighead	PROPN
fumecheng-2259	454	17	,	,	PUNCT
fumecheng-2259	454	18	h.	h.	PROPN
fumecheng-2259	454	19	g.	g.	PROPN
fumecheng-2259	454	20	,	,	PUNCT
fumecheng-2259	454	21	2007	2007	NUM
fumecheng-2259	454	22	,	,	PUNCT
fumecheng-2259	454	23	dynamic	dynamic	ADJ
fumecheng-2259	454	24	characterization	characterization	NOUN
fumecheng-2259	454	25	of	of	ADP
fumecheng-2259	454	26	nanoelectromechanical	nanoelectromechanical	ADJ
fumecheng-2259	454	27	oscillators	oscillator	NOUN
fumecheng-2259	454	28	by	by	ADP
fumecheng-2259	454	29	atomic	atomic	ADJ
fumecheng-2259	454	30	force	force	NOUN
fumecheng-2259	454	31	microscopy	microscopy	PROPN
fumecheng-2259	454	32	,	,	PUNCT
fumecheng-2259	454	33	journal	journal	NOUN
fumecheng-2259	454	34	of	of	ADP
fumecheng-2259	454	35	applied	applied	ADJ
fumecheng-2259	454	36	physics	physic	NOUN
fumecheng-2259	454	37	,	,	PUNCT
fumecheng-2259	454	38	101(4	101(4	NUM
fumecheng-2259	454	39	)	)	PUNCT
fumecheng-2259	454	40	,	,	PUNCT
fumecheng-2259	454	41	044308	044308	NUM
fumecheng-2259	454	42	.	.	PUNCT
fumecheng-2259	455	1	7	7	X
fumecheng-2259	455	2	.	.	NUM
fumecheng-2259	455	3	hasanyan	hasanyan	NOUN
fumecheng-2259	455	4	,	,	PUNCT
fumecheng-2259	455	5	dj	dj	PROPN
fumecheng-2259	455	6	.	.	PROPN
fumecheng-2259	455	7	,	,	PUNCT
fumecheng-2259	455	8	batra	batra	PROPN
fumecheng-2259	455	9	rc	rc	PROPN
fumecheng-2259	455	10	.	.	PROPN
fumecheng-2259	455	11	,	,	PUNCT
fumecheng-2259	455	12	harutyunyan	harutyunyan	PROPN
fumecheng-2259	455	13	s.	s.	PROPN
fumecheng-2259	455	14	,	,	PUNCT
fumecheng-2259	455	15	2008	2008	NUM
fumecheng-2259	455	16	,	,	PUNCT
fumecheng-2259	455	17	pull	pull	NOUN
fumecheng-2259	455	18	-	-	PUNCT
fumecheng-2259	455	19	in	in	ADP
fumecheng-2259	455	20	instabilities	instability	NOUN
fumecheng-2259	455	21	in	in	ADP
fumecheng-2259	455	22	functionally	functionally	ADV
fumecheng-2259	455	23	graded	grade	VERB
fumecheng-2259	455	24	microthermoelectromechanical	microthermoelectromechanical	NOUN
fumecheng-2259	455	25	systems	system	NOUN
fumecheng-2259	455	26	,	,	PUNCT
fumecheng-2259	455	27	j	j	PROPN
fumecheng-2259	455	28	thermal	thermal	ADJ
fumecheng-2259	455	29	stress	stress	NOUN
fumecheng-2259	455	30	,	,	PUNCT
fumecheng-2259	455	31	31	31	NUM
fumecheng-2259	455	32	,	,	PUNCT
fumecheng-2259	455	33	pp1006–1021	pp1006–1021	NOUN
fumecheng-2259	455	34	.	.	PUNCT
fumecheng-2259	456	1	8	8	X
fumecheng-2259	456	2	.	.	X
fumecheng-2259	456	3	rahaeifard	rahaeifard	NOUN
fumecheng-2259	456	4	,	,	PUNCT
fumecheng-2259	456	5	m.	m.	NOUN
fumecheng-2259	456	6	,	,	PUNCT
fumecheng-2259	456	7	kahrobaiyan	kahrobaiyan	PROPN
fumecheng-2259	456	8	,	,	PUNCT
fumecheng-2259	456	9	m.	m.	NOUN
fumecheng-2259	456	10	h.	h.	PROPN
fumecheng-2259	456	11	,	,	PUNCT
fumecheng-2259	456	12	ahmadian	ahmadian	ADJ
fumecheng-2259	456	13	,	,	PUNCT
fumecheng-2259	456	14	m.	m.	NOUN
fumecheng-2259	456	15	t.	t.	PROPN
fumecheng-2259	456	16	,	,	PUNCT
fumecheng-2259	456	17	2009	2009	NUM
fumecheng-2259	456	18	,	,	PUNCT
fumecheng-2259	456	19	sensitivity	sensitivity	NOUN
fumecheng-2259	456	20	analysis	analysis	NOUN
fumecheng-2259	456	21	of	of	ADP
fumecheng-2259	456	22	atomic	atomic	ADJ
fumecheng-2259	456	23	force	force	NOUN
fumecheng-2259	456	24	microscope	microscope	NOUN
fumecheng-2259	456	25	cantilever	cantilever	NOUN
fumecheng-2259	456	26	made	make	VERB
fumecheng-2259	456	27	of	of	ADP
fumecheng-2259	456	28	functionally	functionally	ADV
fumecheng-2259	456	29	graded	grade	VERB
fumecheng-2259	456	30	materials	material	NOUN
fumecheng-2259	456	31	,	,	PUNCT
fumecheng-2259	456	32	3rd	3rd	ADJ
fumecheng-2259	456	33	international	international	ADJ
fumecheng-2259	456	34	conference	conference	NOUN
fumecheng-2259	456	35	on	on	ADP
fumecheng-2259	456	36	micro	micro	NOUN
fumecheng-2259	456	37	-	-	ADJ
fumecheng-2259	456	38	and	and	CCONJ
fumecheng-2259	456	39	nanosystems	nanosystem	NOUN
fumecheng-2259	456	40	(	(	PUNCT
fumecheng-2259	456	41	mns3	mns3	PROPN
fumecheng-2259	456	42	)	)	PUNCT
fumecheng-2259	456	43	,	,	PUNCT
fumecheng-2259	456	44	san	san	PROPN
fumecheng-2259	456	45	diego	diego	PROPN
fumecheng-2259	456	46	(	(	PUNCT
fumecheng-2259	456	47	ca	ca	PROPN
fumecheng-2259	456	48	,	,	PUNCT
fumecheng-2259	456	49	usa	usa	PROPN
fumecheng-2259	456	50	)	)	PUNCT
fumecheng-2259	456	51	,	,	PUNCT
fumecheng-2259	456	52	in	in	ADP
fumecheng-2259	456	53	:	:	PUNCT
fumecheng-2259	456	54	detc	detc	NOUN
fumecheng-2259	456	55	2009	2009	NUM
fumecheng-2259	456	56	-	-	SYM
fumecheng-2259	456	57	86254	86254	NUM
fumecheng-2259	456	58	.	.	PUNCT
fumecheng-2259	457	1	9	9	X
fumecheng-2259	457	2	.	.	X
fumecheng-2259	457	3	mindlin	mindlin	PROPN
fumecheng-2259	457	4	,	,	PUNCT
fumecheng-2259	457	5	r.	r.	PROPN
fumecheng-2259	457	6	d.	d.	PROPN
fumecheng-2259	457	7	,	,	PUNCT
fumecheng-2259	457	8	eshel	eshel	PROPN
fumecheng-2259	457	9	,	,	PUNCT
fumecheng-2259	457	10	n.	n.	PROPN
fumecheng-2259	457	11	n.	n.	PROPN
fumecheng-2259	457	12	,	,	PUNCT
fumecheng-2259	457	13	1968	1968	NUM
fumecheng-2259	457	14	,	,	PUNCT
fumecheng-2259	457	15	on	on	ADP
fumecheng-2259	457	16	first	first	ADJ
fumecheng-2259	457	17	strain	strain	NOUN
fumecheng-2259	457	18	-	-	PUNCT
fumecheng-2259	457	19	gradient	gradient	NOUN
fumecheng-2259	457	20	theories	theory	NOUN
fumecheng-2259	457	21	in	in	ADP
fumecheng-2259	457	22	linear	linear	PROPN
fumecheng-2259	457	23	elasticity	elasticity	NOUN
fumecheng-2259	457	24	,	,	PUNCT
fumecheng-2259	457	25	international	international	ADJ
fumecheng-2259	457	26	journal	journal	NOUN
fumecheng-2259	457	27	of	of	ADP
fumecheng-2259	457	28	solids	solid	NOUN
fumecheng-2259	457	29	and	and	CCONJ
fumecheng-2259	457	30	structures	structure	NOUN
fumecheng-2259	457	31	,	,	PUNCT
fumecheng-2259	457	32	4(1	4(1	NOUN
fumecheng-2259	457	33	)	)	PUNCT
fumecheng-2259	457	34	,	,	PUNCT
fumecheng-2259	457	35	pp	pp	PROPN
fumecheng-2259	457	36	.	.	PUNCT
fumecheng-2259	458	1	109	109	NUM
fumecheng-2259	458	2	-	-	SYM
fumecheng-2259	458	3	124	124	NUM
fumecheng-2259	458	4	.	.	PUNCT
fumecheng-2259	459	1	10	10	NUM
fumecheng-2259	459	2	.	.	PUNCT
fumecheng-2259	460	1	wang	wang	PROPN
fumecheng-2259	460	2	,	,	PUNCT
fumecheng-2259	460	3	b.	b.	PROPN
fumecheng-2259	460	4	,	,	PUNCT
fumecheng-2259	460	5	zhao	zhao	PROPN
fumecheng-2259	460	6	,	,	PUNCT
fumecheng-2259	460	7	j.	j.	PROPN
fumecheng-2259	460	8	,	,	PUNCT
fumecheng-2259	460	9	zhou	zhou	PROPN
fumecheng-2259	460	10	,	,	PUNCT
fumecheng-2259	460	11	s.	s.	PROPN
fumecheng-2259	460	12	,	,	PUNCT
fumecheng-2259	460	13	2010	2010	NUM
fumecheng-2259	460	14	,	,	PUNCT
fumecheng-2259	460	15	a	a	DET
fumecheng-2259	460	16	micro	micro	ADJ
fumecheng-2259	460	17	scale	scale	NOUN
fumecheng-2259	460	18	timoshenko	timoshenko	ADJ
fumecheng-2259	460	19	beam	beam	NOUN
fumecheng-2259	460	20	model	model	NOUN
fumecheng-2259	460	21	based	base	VERB
fumecheng-2259	460	22	on	on	ADP
fumecheng-2259	460	23	strain	strain	NOUN
fumecheng-2259	460	24	gradient	gradient	ADJ
fumecheng-2259	460	25	elasticity	elasticity	NOUN
fumecheng-2259	460	26	theory	theory	NOUN
fumecheng-2259	460	27	,	,	PUNCT
fumecheng-2259	460	28	european	european	PROPN
fumecheng-2259	460	29	journal	journal	PROPN
fumecheng-2259	460	30	of	of	ADP
fumecheng-2259	460	31	mechanics	mechanic	NOUN
fumecheng-2259	460	32	-	-	PUNCT
fumecheng-2259	460	33	a	a	DET
fumecheng-2259	460	34	/	/	SYM
fumecheng-2259	460	35	solids	solid	NOUN
fumecheng-2259	460	36	,	,	PUNCT
fumecheng-2259	460	37	29(4	29(4	NOUN
fumecheng-2259	460	38	)	)	PUNCT
fumecheng-2259	460	39	,	,	PUNCT
fumecheng-2259	460	40	pp	pp	ADJ
fumecheng-2259	460	41	.	.	PUNCT
fumecheng-2259	461	1	591	591	NUM
fumecheng-2259	461	2	-	-	SYM
fumecheng-2259	461	3	599	599	NUM
fumecheng-2259	461	4	.	.	PUNCT
fumecheng-2259	462	1	11	11	NUM
fumecheng-2259	462	2	.	.	PUNCT
fumecheng-2259	463	1	lazopoulos	lazopoulos	PROPN
fumecheng-2259	463	2	,	,	PUNCT
fumecheng-2259	463	3	k.	k.	PROPN
fumecheng-2259	463	4	a.	a.	PROPN
fumecheng-2259	463	5	,	,	PUNCT
fumecheng-2259	463	6	lazopoulos	lazopoulos	PROPN
fumecheng-2259	463	7	,	,	PUNCT
fumecheng-2259	463	8	a.	a.	PROPN
fumecheng-2259	463	9	k.	k.	PROPN
fumecheng-2259	463	10	,	,	PUNCT
fumecheng-2259	463	11	2010	2010	NUM
fumecheng-2259	463	12	,	,	PUNCT
fumecheng-2259	463	13	bending	bend	VERB
fumecheng-2259	463	14	and	and	CCONJ
fumecheng-2259	463	15	buckling	buckling	NOUN
fumecheng-2259	463	16	of	of	ADP
fumecheng-2259	463	17	thin	thin	ADJ
fumecheng-2259	463	18	strain	strain	NOUN
fumecheng-2259	463	19	gradient	gradient	ADJ
fumecheng-2259	463	20	elastic	elastic	ADJ
fumecheng-2259	463	21	beams	beam	NOUN
fumecheng-2259	463	22	,	,	PUNCT
fumecheng-2259	463	23	european	european	ADJ
fumecheng-2259	463	24	journal	journal	PROPN
fumecheng-2259	463	25	of	of	ADP
fumecheng-2259	463	26	mechanics	mechanic	NOUN
fumecheng-2259	463	27	-	-	PUNCT
fumecheng-2259	463	28	a	a	DET
fumecheng-2259	463	29	/	/	SYM
fumecheng-2259	463	30	solids	solid	NOUN
fumecheng-2259	463	31	,	,	PUNCT
fumecheng-2259	463	32	29(5	29(5	NUM
fumecheng-2259	463	33	)	)	PUNCT
fumecheng-2259	463	34	,	,	PUNCT
fumecheng-2259	463	35	pp	pp	ADP
fumecheng-2259	463	36	.	.	PUNCT
fumecheng-2259	463	37	837	837	NUM
fumecheng-2259	463	38	-	-	SYM
fumecheng-2259	463	39	843	843	NUM
fumecheng-2259	463	40	.	.	NOUN
fumecheng-2259	464	1	12	12	NUM
fumecheng-2259	464	2	.	.	X
fumecheng-2259	464	3	peddieson	peddieson	NOUN
fumecheng-2259	464	4	,	,	PUNCT
fumecheng-2259	464	5	j.	j.	PROPN
fumecheng-2259	464	6	,	,	PUNCT
fumecheng-2259	464	7	buchanan	buchanan	PROPN
fumecheng-2259	464	8	,	,	PUNCT
fumecheng-2259	464	9	g.	g.	PROPN
fumecheng-2259	464	10	r.	r.	PROPN
fumecheng-2259	464	11	,	,	PUNCT
fumecheng-2259	464	12	mcnitt	mcnitt	PROPN
fumecheng-2259	464	13	,	,	PUNCT
fumecheng-2259	464	14	r.	r.	PROPN
fumecheng-2259	464	15	p.	p.	PROPN
fumecheng-2259	464	16	,	,	PUNCT
fumecheng-2259	464	17	2003	2003	NUM
fumecheng-2259	464	18	,	,	PUNCT
fumecheng-2259	464	19	application	application	NOUN
fumecheng-2259	464	20	of	of	ADP
fumecheng-2259	464	21	nonlocal	nonlocal	ADJ
fumecheng-2259	464	22	continuum	continuum	ADJ
fumecheng-2259	464	23	models	model	NOUN
fumecheng-2259	464	24	to	to	ADP
fumecheng-2259	464	25	nanotechnology	nanotechnology	NOUN
fumecheng-2259	464	26	,	,	PUNCT
fumecheng-2259	464	27	international	international	ADJ
fumecheng-2259	464	28	journal	journal	NOUN
fumecheng-2259	464	29	of	of	ADP
fumecheng-2259	464	30	engineering	engineering	NOUN
fumecheng-2259	464	31	science	science	NOUN
fumecheng-2259	464	32	,	,	PUNCT
fumecheng-2259	464	33	41(3	41(3	NUM
fumecheng-2259	464	34	)	)	PUNCT
fumecheng-2259	464	35	,	,	PUNCT
fumecheng-2259	464	36	pp	pp	ADJ
fumecheng-2259	464	37	.	.	PUNCT
fumecheng-2259	465	1	305	305	NUM
fumecheng-2259	465	2	-	-	SYM
fumecheng-2259	465	3	312	312	NUM
fumecheng-2259	465	4	.	.	NOUN
fumecheng-2259	465	5	13	13	NUM
fumecheng-2259	465	6	.	.	PUNCT
fumecheng-2259	466	1	eringen	eringen	PROPN
fumecheng-2259	466	2	,	,	PUNCT
fumecheng-2259	466	3	a.	a.	PROPN
fumecheng-2259	466	4	c.	c.	PROPN
fumecheng-2259	466	5	,	,	PUNCT
fumecheng-2259	466	6	1983	1983	NUM
fumecheng-2259	466	7	,	,	PUNCT
fumecheng-2259	466	8	on	on	ADP
fumecheng-2259	466	9	differential	differential	ADJ
fumecheng-2259	466	10	equations	equation	NOUN
fumecheng-2259	466	11	of	of	ADP
fumecheng-2259	466	12	nonlocal	nonlocal	ADJ
fumecheng-2259	466	13	elasticity	elasticity	NOUN
fumecheng-2259	466	14	and	and	CCONJ
fumecheng-2259	466	15	solutions	solution	NOUN
fumecheng-2259	466	16	of	of	ADP
fumecheng-2259	466	17	screw	screw	ADJ
fumecheng-2259	466	18	dislocation	dislocation	NOUN
fumecheng-2259	466	19	and	and	CCONJ
fumecheng-2259	466	20	surface	surface	NOUN
fumecheng-2259	466	21	waves	wave	NOUN
fumecheng-2259	466	22	,	,	PUNCT
fumecheng-2259	466	23	journal	journal	NOUN
fumecheng-2259	466	24	of	of	ADP
fumecheng-2259	466	25	applied	applied	ADJ
fumecheng-2259	466	26	physics	physics	NOUN
fumecheng-2259	466	27	,	,	PUNCT
fumecheng-2259	466	28	54(9	54(9	NOUN
fumecheng-2259	466	29	)	)	PUNCT
fumecheng-2259	466	30	,	,	PUNCT
fumecheng-2259	466	31	pp	pp	ADP
fumecheng-2259	466	32	.	.	PUNCT
fumecheng-2259	467	1	4703	4703	NUM
fumecheng-2259	467	2	-	-	SYM
fumecheng-2259	467	3	4710	4710	NUM
fumecheng-2259	467	4	.	.	PUNCT
fumecheng-2259	468	1	14	14	NUM
fumecheng-2259	468	2	.	.	X
fumecheng-2259	469	1	reddy	reddy	PROPN
fumecheng-2259	469	2	,	,	PUNCT
fumecheng-2259	469	3	j.	j.	PROPN
fumecheng-2259	469	4	n.	n.	PROPN
fumecheng-2259	469	5	,	,	PUNCT
fumecheng-2259	469	6	2007	2007	NUM
fumecheng-2259	469	7	,	,	PUNCT
fumecheng-2259	469	8	nonlocal	nonlocal	ADJ
fumecheng-2259	469	9	theories	theory	NOUN
fumecheng-2259	469	10	for	for	ADP
fumecheng-2259	469	11	buckling	buckle	VERB
fumecheng-2259	469	12	bending	bending	NOUN
fumecheng-2259	469	13	and	and	CCONJ
fumecheng-2259	469	14	vibration	vibration	NOUN
fumecheng-2259	469	15	of	of	ADP
fumecheng-2259	469	16	nanobeams	nanobeam	NOUN
fumecheng-2259	469	17	,	,	PUNCT
fumecheng-2259	469	18	international	international	ADJ
fumecheng-2259	469	19	journal	journal	NOUN
fumecheng-2259	469	20	of	of	ADP
fumecheng-2259	469	21	engineering	engineering	NOUN
fumecheng-2259	469	22	science	science	NOUN
fumecheng-2259	469	23	,	,	PUNCT
fumecheng-2259	469	24	45	45	NUM
fumecheng-2259	469	25	,	,	PUNCT
fumecheng-2259	469	26	pp	pp	ADJ
fumecheng-2259	469	27	.	.	PUNCT
fumecheng-2259	470	1	288–307	288–307	NUM
fumecheng-2259	470	2	.	.	PUNCT
fumecheng-2259	471	1	15	15	NUM
fumecheng-2259	471	2	.	.	X
fumecheng-2259	472	1	reddy	reddy	PROPN
fumecheng-2259	472	2	,	,	PUNCT
fumecheng-2259	472	3	j.	j.	PROPN
fumecheng-2259	472	4	n.	n.	PROPN
fumecheng-2259	472	5	,	,	PUNCT
fumecheng-2259	472	6	2002	2002	NUM
fumecheng-2259	472	7	,	,	PUNCT
fumecheng-2259	472	8	energy	energy	NOUN
fumecheng-2259	472	9	principles	principle	NOUN
fumecheng-2259	472	10	and	and	CCONJ
fumecheng-2259	472	11	variational	variational	ADJ
fumecheng-2259	472	12	methods	method	NOUN
fumecheng-2259	472	13	in	in	ADP
fumecheng-2259	472	14	applied	applied	ADJ
fumecheng-2259	472	15	mechanics	mechanic	NOUN
fumecheng-2259	472	16	,	,	PUNCT
fumecheng-2259	472	17	2nd	2nd	ADJ
fumecheng-2259	472	18	ed	ed	NOUN
fumecheng-2259	472	19	.	.	PUNCT
fumecheng-2259	473	1	new	new	PROPN
fumecheng-2259	473	2	york	york	PROPN
fumecheng-2259	473	3	:	:	PUNCT
fumecheng-2259	473	4	john	john	PROPN
fumecheng-2259	473	5	wiley	wiley	PROPN
fumecheng-2259	473	6	and	and	CCONJ
fumecheng-2259	473	7	sons	son	NOUN
fumecheng-2259	473	8	.	.	PUNCT
fumecheng-2259	474	1	16	16	NUM
fumecheng-2259	474	2	.	.	PUNCT
fumecheng-2259	475	1	reddy	reddy	PROPN
fumecheng-2259	475	2	,	,	PUNCT
fumecheng-2259	475	3	j.	j.	PROPN
fumecheng-2259	475	4	n.	n.	PROPN
fumecheng-2259	475	5	,	,	PUNCT
fumecheng-2259	475	6	2008	2008	NUM
fumecheng-2259	475	7	,	,	PUNCT
fumecheng-2259	475	8	an	an	DET
fumecheng-2259	475	9	introduction	introduction	NOUN
fumecheng-2259	475	10	to	to	ADP
fumecheng-2259	475	11	continuum	continuum	ADJ
fumecheng-2259	475	12	mechanics	mechanic	NOUN
fumecheng-2259	475	13	with	with	ADP
fumecheng-2259	475	14	applications	application	NOUN
fumecheng-2259	475	15	,	,	PUNCT
fumecheng-2259	475	16	new	new	PROPN
fumecheng-2259	475	17	york	york	PROPN
fumecheng-2259	475	18	,	,	PUNCT
fumecheng-2259	475	19	cambridge	cambridge	PROPN
fumecheng-2259	475	20	university	university	PROPN
fumecheng-2259	475	21	press	press	NOUN
fumecheng-2259	475	22	.	.	PUNCT
fumecheng-2259	476	1	17	17	NUM
fumecheng-2259	476	2	.	.	X
fumecheng-2259	477	1	reddy	reddy	PROPN
fumecheng-2259	477	2	,	,	PUNCT
fumecheng-2259	477	3	j.	j.	PROPN
fumecheng-2259	477	4	n.	n.	PROPN
fumecheng-2259	477	5	,	,	PUNCT
fumecheng-2259	477	6	2011	2011	NUM
fumecheng-2259	477	7	,	,	PUNCT
fumecheng-2259	477	8	microstructure	microstructure	NOUN
fumecheng-2259	477	9	-	-	PUNCT
fumecheng-2259	477	10	dependent	dependent	ADJ
fumecheng-2259	477	11	couple	couple	NOUN
fumecheng-2259	477	12	stress	stress	NOUN
fumecheng-2259	477	13	theories	theory	NOUN
fumecheng-2259	477	14	of	of	ADP
fumecheng-2259	477	15	functionally	functionally	ADV
fumecheng-2259	477	16	graded	grade	VERB
fumecheng-2259	477	17	beams	beam	NOUN
fumecheng-2259	477	18	,	,	PUNCT
fumecheng-2259	477	19	journal	journal	NOUN
fumecheng-2259	477	20	of	of	ADP
fumecheng-2259	477	21	the	the	DET
fumecheng-2259	477	22	mechanics	mechanic	NOUN
fumecheng-2259	477	23	and	and	CCONJ
fumecheng-2259	477	24	physics	physic	NOUN
fumecheng-2259	477	25	of	of	ADP
fumecheng-2259	477	26	solids	solid	NOUN
fumecheng-2259	477	27	,	,	PUNCT
fumecheng-2259	477	28	59(11	59(11	NUM
fumecheng-2259	477	29	)	)	PUNCT
fumecheng-2259	477	30	,	,	PUNCT
fumecheng-2259	477	31	pp	pp	ADJ
fumecheng-2259	477	32	.	.	PUNCT
fumecheng-2259	478	1	2382	2382	NUM
fumecheng-2259	478	2	-	-	SYM
fumecheng-2259	478	3	2399	2399	NUM
fumecheng-2259	478	4	.	.	PUNCT
fumecheng-2259	479	1	18	18	NUM
fumecheng-2259	479	2	.	.	X
fumecheng-2259	479	3	park	park	PROPN
fumecheng-2259	479	4	,	,	PUNCT
fumecheng-2259	479	5	s.	s.	PROPN
fumecheng-2259	479	6	k.	k.	PROPN
fumecheng-2259	479	7	,	,	PUNCT
fumecheng-2259	479	8	gao	gao	PROPN
fumecheng-2259	479	9	,	,	PUNCT
fumecheng-2259	479	10	x.	x.	PROPN
fumecheng-2259	479	11	l.	l.	PROPN
fumecheng-2259	479	12	,	,	PUNCT
fumecheng-2259	479	13	2006	2006	NUM
fumecheng-2259	479	14	,	,	PUNCT
fumecheng-2259	479	15	bernoulli	bernoulli	PROPN
fumecheng-2259	479	16	–	–	PUNCT
fumecheng-2259	479	17	euler	euler	NOUN
fumecheng-2259	479	18	beam	beam	PROPN
fumecheng-2259	479	19	model	model	NOUN
fumecheng-2259	479	20	based	base	VERB
fumecheng-2259	479	21	on	on	ADP
fumecheng-2259	479	22	a	a	DET
fumecheng-2259	479	23	modified	modify	VERB
fumecheng-2259	479	24	couple	couple	NOUN
fumecheng-2259	479	25	stress	stress	NOUN
fumecheng-2259	479	26	theory	theory	NOUN
fumecheng-2259	479	27	,	,	PUNCT
fumecheng-2259	479	28	journal	journal	NOUN
fumecheng-2259	479	29	of	of	ADP
fumecheng-2259	479	30	micromechanics	micromechanic	NOUN
fumecheng-2259	479	31	and	and	CCONJ
fumecheng-2259	479	32	microengineering	microengineering	NOUN
fumecheng-2259	479	33	,	,	PUNCT
fumecheng-2259	479	34	16(11	16(11	NUM
fumecheng-2259	479	35	)	)	PUNCT
fumecheng-2259	479	36	,	,	PUNCT
fumecheng-2259	479	37	2355	2355	NUM
fumecheng-2259	479	38	.	.	PUNCT
fumecheng-2259	480	1	19	19	NUM
fumecheng-2259	480	2	.	.	X
fumecheng-2259	480	3	ma	ma	PROPN
fumecheng-2259	480	4	,	,	PUNCT
fumecheng-2259	480	5	h.	h.	PROPN
fumecheng-2259	480	6	m.	m.	PROPN
fumecheng-2259	480	7	,	,	PUNCT
fumecheng-2259	480	8	gao	gao	PROPN
fumecheng-2259	480	9	,	,	PUNCT
fumecheng-2259	480	10	x.	x.	PROPN
fumecheng-2259	480	11	l.	l.	PROPN
fumecheng-2259	480	12	,	,	PUNCT
fumecheng-2259	480	13	reddy	reddy	PROPN
fumecheng-2259	480	14	,	,	PUNCT
fumecheng-2259	480	15	j.	j.	PROPN
fumecheng-2259	480	16	n.	n.	PROPN
fumecheng-2259	480	17	,	,	PUNCT
fumecheng-2259	480	18	2008	2008	NUM
fumecheng-2259	480	19	,	,	PUNCT
fumecheng-2259	480	20	a	a	DET
fumecheng-2259	480	21	microstructure	microstructure	NOUN
fumecheng-2259	480	22	-	-	PUNCT
fumecheng-2259	480	23	dependent	dependent	ADJ
fumecheng-2259	480	24	timoshenko	timoshenko	NOUN
fumecheng-2259	480	25	beam	beam	NOUN
fumecheng-2259	480	26	model	model	NOUN
fumecheng-2259	480	27	based	base	VERB
fumecheng-2259	480	28	on	on	ADP
fumecheng-2259	480	29	a	a	DET
fumecheng-2259	480	30	modified	modify	VERB
fumecheng-2259	480	31	couple	couple	NOUN
fumecheng-2259	480	32	stress	stress	NOUN
fumecheng-2259	480	33	theory	theory	NOUN
fumecheng-2259	480	34	,	,	PUNCT
fumecheng-2259	480	35	journal	journal	NOUN
fumecheng-2259	480	36	of	of	ADP
fumecheng-2259	480	37	the	the	DET
fumecheng-2259	480	38	mechanics	mechanic	NOUN
fumecheng-2259	480	39	and	and	CCONJ
fumecheng-2259	480	40	physics	physic	NOUN
fumecheng-2259	480	41	of	of	ADP
fumecheng-2259	480	42	solids	solid	NOUN
fumecheng-2259	480	43	,	,	PUNCT
fumecheng-2259	480	44	56(12	56(12	NUM
fumecheng-2259	480	45	)	)	PUNCT
fumecheng-2259	480	46	,	,	PUNCT
fumecheng-2259	480	47	pp	pp	ADP
fumecheng-2259	480	48	.	.	PUNCT
fumecheng-2259	481	1	3379	3379	NUM
fumecheng-2259	481	2	-	-	SYM
fumecheng-2259	481	3	3391	3391	NUM
fumecheng-2259	481	4	.	.	PUNCT
fumecheng-2259	482	1	20	20	NUM
fumecheng-2259	482	2	.	.	PUNCT
fumecheng-2259	483	1	nateghi	nateghi	PROPN
fumecheng-2259	483	2	,	,	PUNCT
fumecheng-2259	483	3	a.	a.	PROPN
fumecheng-2259	483	4	,	,	PUNCT
fumecheng-2259	483	5	salamat	salamat	NOUN
fumecheng-2259	483	6	-	-	PUNCT
fumecheng-2259	483	7	talab	talab	NOUN
fumecheng-2259	483	8	,	,	PUNCT
fumecheng-2259	483	9	m.	m.	NOUN
fumecheng-2259	483	10	,	,	PUNCT
fumecheng-2259	483	11	rezapour	rezapour	PROPN
fumecheng-2259	483	12	,	,	PUNCT
fumecheng-2259	483	13	j.	j.	PROPN
fumecheng-2259	483	14	,	,	PUNCT
fumecheng-2259	483	15	daneshian	daneshian	PROPN
fumecheng-2259	483	16	,	,	PUNCT
fumecheng-2259	483	17	b.	b.	PROPN
fumecheng-2259	483	18	,	,	PUNCT
fumecheng-2259	483	19	2012	2012	NUM
fumecheng-2259	483	20	,	,	PUNCT
fumecheng-2259	483	21	size	size	NOUN
fumecheng-2259	483	22	dependent	dependent	ADJ
fumecheng-2259	483	23	buckling	buckling	NOUN
fumecheng-2259	483	24	analysis	analysis	NOUN
fumecheng-2259	483	25	of	of	ADP
fumecheng-2259	483	26	functionally	functionally	ADV
fumecheng-2259	483	27	graded	grade	VERB
fumecheng-2259	483	28	micro	micro	ADJ
fumecheng-2259	483	29	beams	beam	NOUN
fumecheng-2259	483	30	based	base	VERB
fumecheng-2259	483	31	on	on	ADP
fumecheng-2259	483	32	modified	modify	VERB
fumecheng-2259	483	33	couple	couple	NOUN
fumecheng-2259	483	34	stress	stress	NOUN
fumecheng-2259	483	35	theory	theory	NOUN
fumecheng-2259	483	36	,	,	PUNCT
fumecheng-2259	483	37	applied	apply	VERB
fumecheng-2259	483	38	mathematical	mathematical	ADJ
fumecheng-2259	483	39	modelling	modelling	NOUN
fumecheng-2259	483	40	,	,	PUNCT
fumecheng-2259	483	41	36(10	36(10	NUM
fumecheng-2259	483	42	)	)	PUNCT
fumecheng-2259	483	43	,	,	PUNCT
fumecheng-2259	484	1	pp	pp	PROPN
fumecheng-2259	484	2	.	.	PUNCT
fumecheng-2259	484	3	4971	4971	NUM
fumecheng-2259	484	4	-	-	SYM
fumecheng-2259	484	5	4987	4987	NUM
fumecheng-2259	484	6	.	.	PUNCT
fumecheng-2259	485	1	21	21	NUM
fumecheng-2259	485	2	.	.	PUNCT
fumecheng-2259	485	3	bekir	bekir	PROPN
fumecheng-2259	485	4	,	,	PUNCT
fumecheng-2259	485	5	a.	a.	NOUN
fumecheng-2259	485	6	,	,	PUNCT
fumecheng-2259	485	7	civalek	civalek	NOUN
fumecheng-2259	485	8	,	,	PUNCT
fumecheng-2259	485	9	ö.	ö.	PROPN
fumecheng-2259	485	10	,	,	PUNCT
fumecheng-2259	485	11	2011	2011	NUM
fumecheng-2259	485	12	,	,	PUNCT
fumecheng-2259	485	13	strain	strain	VERB
fumecheng-2259	485	14	gradient	gradient	ADJ
fumecheng-2259	485	15	elasticity	elasticity	NOUN
fumecheng-2259	485	16	and	and	CCONJ
fumecheng-2259	485	17	modified	modify	VERB
fumecheng-2259	485	18	couple	couple	NOUN
fumecheng-2259	485	19	stress	stress	NOUN
fumecheng-2259	485	20	models	model	NOUN
fumecheng-2259	485	21	for	for	ADP
fumecheng-2259	485	22	buckling	buckle	VERB
fumecheng-2259	485	23	analysis	analysis	NOUN
fumecheng-2259	485	24	of	of	ADP
fumecheng-2259	485	25	axially	axially	ADV
fumecheng-2259	485	26	loaded	load	VERB
fumecheng-2259	485	27	micro	micro	ADJ
fumecheng-2259	485	28	-	-	ADJ
fumecheng-2259	485	29	scaled	scale	VERB
fumecheng-2259	485	30	beams	beam	NOUN
fumecheng-2259	485	31	,	,	PUNCT
fumecheng-2259	485	32	international	international	ADJ
fumecheng-2259	485	33	journal	journal	NOUN
fumecheng-2259	485	34	of	of	ADP
fumecheng-2259	485	35	engineering	engineering	NOUN
fumecheng-2259	485	36	science	science	NOUN
fumecheng-2259	485	37	,	,	PUNCT
fumecheng-2259	485	38	49(11	49(11	PROPN
fumecheng-2259	485	39	)	)	PUNCT
fumecheng-2259	485	40	,	,	PUNCT
fumecheng-2259	485	41	pp	pp	ADP
fumecheng-2259	485	42	.	.	PUNCT
fumecheng-2259	486	1	1268	1268	NUM
fumecheng-2259	486	2	-	-	SYM
fumecheng-2259	486	3	1280	1280	NUM
fumecheng-2259	486	4	.	.	PUNCT
fumecheng-2259	487	1	22	22	NUM
fumecheng-2259	487	2	.	.	X
fumecheng-2259	488	1	şimşek	şimşek	NOUN
fumecheng-2259	488	2	,	,	PUNCT
fumecheng-2259	488	3	m.	m.	NOUN
fumecheng-2259	488	4	,	,	PUNCT
fumecheng-2259	488	5	reddy	reddy	PROPN
fumecheng-2259	488	6	,	,	PUNCT
fumecheng-2259	488	7	j.	j.	PROPN
fumecheng-2259	488	8	n.	n.	PROPN
fumecheng-2259	488	9	,	,	PUNCT
fumecheng-2259	488	10	2013	2013	NUM
fumecheng-2259	488	11	,	,	PUNCT
fumecheng-2259	488	12	a	a	DET
fumecheng-2259	488	13	unified	unified	ADJ
fumecheng-2259	488	14	higher	high	ADJ
fumecheng-2259	488	15	order	order	NOUN
fumecheng-2259	488	16	beam	beam	NOUN
fumecheng-2259	488	17	theory	theory	NOUN
fumecheng-2259	488	18	for	for	ADP
fumecheng-2259	488	19	buckling	buckling	NOUN
fumecheng-2259	488	20	of	of	ADP
fumecheng-2259	488	21	a	a	DET
fumecheng-2259	488	22	functionally	functionally	ADV
fumecheng-2259	488	23	graded	grade	VERB
fumecheng-2259	488	24	microbeam	microbeam	NOUN
fumecheng-2259	488	25	embedded	embed	VERB
fumecheng-2259	488	26	in	in	ADP
fumecheng-2259	488	27	elastic	elastic	ADJ
fumecheng-2259	488	28	medium	medium	NOUN
fumecheng-2259	488	29	using	use	VERB
fumecheng-2259	488	30	modified	modify	VERB
fumecheng-2259	488	31	couple	couple	NOUN
fumecheng-2259	488	32	stress	stress	NOUN
fumecheng-2259	488	33	theory	theory	NOUN
fumecheng-2259	488	34	,	,	PUNCT
fumecheng-2259	488	35	composite	composite	ADJ
fumecheng-2259	488	36	structures	structure	NOUN
fumecheng-2259	488	37	,	,	PUNCT
fumecheng-2259	488	38	101	101	NUM
fumecheng-2259	488	39	,	,	PUNCT
fumecheng-2259	488	40	pp	pp	ADJ
fumecheng-2259	488	41	.	.	PUNCT
fumecheng-2259	489	1	47	47	NUM
fumecheng-2259	489	2	-	-	SYM
fumecheng-2259	489	3	58	58	NUM
fumecheng-2259	489	4	.	.	PUNCT
fumecheng-2259	490	1	23	23	NUM
fumecheng-2259	490	2	.	.	PUNCT
fumecheng-2259	490	3	hendou	hendou	NOUN
fumecheng-2259	490	4	,	,	PUNCT
fumecheng-2259	490	5	r.	r.	PROPN
fumecheng-2259	490	6	h.	h.	PROPN
fumecheng-2259	490	7	,	,	PUNCT
fumecheng-2259	490	8	mohammadi	mohammadi	NOUN
fumecheng-2259	490	9	,	,	PUNCT
fumecheng-2259	490	10	a.k	a.k	PROPN
fumecheng-2259	490	11	.	.	PROPN
fumecheng-2259	490	12	,	,	PUNCT
fumecheng-2259	490	13	2014	2014	NUM
fumecheng-2259	490	14	,	,	PUNCT
fumecheng-2259	490	15	transient	transient	VERB
fumecheng-2259	490	16	analysis	analysis	NOUN
fumecheng-2259	490	17	of	of	ADP
fumecheng-2259	490	18	nonlinear	nonlinear	PROPN
fumecheng-2259	490	19	euler	euler	PROPN
fumecheng-2259	490	20	–	–	PUNCT
fumecheng-2259	490	21	bernoulli	bernoulli	PROPN
fumecheng-2259	490	22	micro	micro	NOUN
fumecheng-2259	490	23	-	-	NOUN
fumecheng-2259	490	24	beam	beam	ADJ
fumecheng-2259	490	25	with	with	ADP
fumecheng-2259	490	26	thermoelastic	thermoelastic	ADJ
fumecheng-2259	490	27	damping	damping	NOUN
fumecheng-2259	490	28	,	,	PUNCT
fumecheng-2259	490	29	via	via	ADP
fumecheng-2259	490	30	nonlinear	nonlinear	ADJ
fumecheng-2259	490	31	normal	normal	ADJ
fumecheng-2259	490	32	modes	mode	NOUN
fumecheng-2259	490	33	,	,	PUNCT
fumecheng-2259	490	34	journal	journal	NOUN
fumecheng-2259	490	35	of	of	ADP
fumecheng-2259	490	36	sound	sound	NOUN
fumecheng-2259	490	37	and	and	CCONJ
fumecheng-2259	490	38	vibration	vibration	NOUN
fumecheng-2259	490	39	,	,	PUNCT
fumecheng-2259	490	40	333(23	333(23	NUM
fumecheng-2259	490	41	)	)	PUNCT
fumecheng-2259	490	42	,	,	PUNCT
fumecheng-2259	490	43	pp	pp	ADP
fumecheng-2259	490	44	.	.	PUNCT
fumecheng-2259	491	1	6224	6224	NUM
fumecheng-2259	491	2	-	-	SYM
fumecheng-2259	491	3	6236	6236	NUM
fumecheng-2259	491	4	.	.	PUNCT
fumecheng-2259	492	1	62	62	NUM
fumecheng-2259	492	2	m.	m.	NOUN
fumecheng-2259	492	3	stamenkoviš	stamenkoviš	VERB
fumecheng-2259	492	4	atanasov	atanasov	PROPN
fumecheng-2259	492	5	,	,	PUNCT
fumecheng-2259	492	6	d.	d.	PROPN
fumecheng-2259	492	7	karliţiš	karliţiš	PROPN
fumecheng-2259	492	8	,	,	PUNCT
fumecheng-2259	492	9	p.	p.	PROPN
fumecheng-2259	492	10	koziš	koziš	PROPN
fumecheng-2259	492	11	,	,	PUNCT
fumecheng-2259	492	12	g.	g.	PROPN
fumecheng-2259	492	13	janevski	janevski	PROPN
fumecheng-2259	492	14	24	24	NUM
fumecheng-2259	492	15	.	.	PUNCT
fumecheng-2259	493	1	ke	ke	PROPN
fumecheng-2259	493	2	,	,	PUNCT
fumecheng-2259	493	3	l.	l.	PROPN
fumecheng-2259	493	4	l.	l.	PROPN
fumecheng-2259	493	5	,	,	PUNCT
fumecheng-2259	493	6	wang	wang	PROPN
fumecheng-2259	493	7	,	,	PUNCT
fumecheng-2259	493	8	y.	y.	PROPN
fumecheng-2259	493	9	s.	s.	PROPN
fumecheng-2259	493	10	,	,	PUNCT
fumecheng-2259	493	11	wang	wang	PROPN
fumecheng-2259	493	12	,	,	PUNCT
fumecheng-2259	493	13	z.	z.	PROPN
fumecheng-2259	493	14	d.	d.	PROPN
fumecheng-2259	493	15	,	,	PUNCT
fumecheng-2259	493	16	2011	2011	NUM
fumecheng-2259	493	17	,	,	PUNCT
fumecheng-2259	493	18	thermal	thermal	ADJ
fumecheng-2259	493	19	effect	effect	NOUN
fumecheng-2259	493	20	on	on	ADP
fumecheng-2259	493	21	free	free	ADJ
fumecheng-2259	493	22	vibration	vibration	NOUN
fumecheng-2259	493	23	and	and	CCONJ
fumecheng-2259	493	24	buckling	buckling	NOUN
fumecheng-2259	493	25	of	of	ADP
fumecheng-2259	493	26	size	size	NOUN
fumecheng-2259	493	27	-	-	PUNCT
fumecheng-2259	493	28	dependent	dependent	ADJ
fumecheng-2259	493	29	microbeams	microbeam	NOUN
fumecheng-2259	493	30	,	,	PUNCT
fumecheng-2259	493	31	physica	physica	NOUN
fumecheng-2259	493	32	e	e	NOUN
fumecheng-2259	493	33	:	:	PUNCT
fumecheng-2259	493	34	low	low	ADJ
fumecheng-2259	493	35	-	-	PUNCT
fumecheng-2259	493	36	dimensional	dimensional	ADJ
fumecheng-2259	493	37	systems	system	NOUN
fumecheng-2259	493	38	and	and	CCONJ
fumecheng-2259	493	39	nanostructures	nanostructure	NOUN
fumecheng-2259	493	40	,	,	PUNCT
fumecheng-2259	493	41	43(7	43(7	NUM
fumecheng-2259	493	42	)	)	PUNCT
fumecheng-2259	493	43	,	,	PUNCT
fumecheng-2259	493	44	pp	pp	ADJ
fumecheng-2259	493	45	.	.	PUNCT
fumecheng-2259	494	1	1387	1387	NUM
fumecheng-2259	494	2	-	-	SYM
fumecheng-2259	494	3	1393	1393	NUM
fumecheng-2259	494	4	.	.	PUNCT
fumecheng-2259	495	1	25	25	NUM
fumecheng-2259	495	2	.	.	PUNCT
fumecheng-2259	496	1	dutta	dutta	PROPN
fumecheng-2259	496	2	s.	s.	PROPN
fumecheng-2259	496	3	c.	c.	PROPN
fumecheng-2259	496	4	,	,	PUNCT
fumecheng-2259	496	5	roy	roy	PROPN
fumecheng-2259	496	6	r.	r.	PROPN
fumecheng-2259	496	7	,	,	PUNCT
fumecheng-2259	496	8	2002	2002	NUM
fumecheng-2259	496	9	,	,	PUNCT
fumecheng-2259	496	10	a	a	DET
fumecheng-2259	496	11	critical	critical	ADJ
fumecheng-2259	496	12	review	review	NOUN
fumecheng-2259	496	13	on	on	ADP
fumecheng-2259	496	14	idealization	idealization	NOUN
fumecheng-2259	496	15	and	and	CCONJ
fumecheng-2259	496	16	modeling	modeling	NOUN
fumecheng-2259	496	17	for	for	ADP
fumecheng-2259	496	18	interaction	interaction	NOUN
fumecheng-2259	496	19	among	among	ADP
fumecheng-2259	496	20	soil	soil	NOUN
fumecheng-2259	496	21	–	–	PUNCT
fumecheng-2259	496	22	foundation	foundation	NOUN
fumecheng-2259	496	23	–	–	PUNCT
fumecheng-2259	496	24	structure	structure	NOUN
fumecheng-2259	496	25	system	system	NOUN
fumecheng-2259	496	26	,	,	PUNCT
fumecheng-2259	496	27	computers	computer	NOUN
fumecheng-2259	496	28	and	and	CCONJ
fumecheng-2259	496	29	structures	structure	NOUN
fumecheng-2259	496	30	,	,	PUNCT
fumecheng-2259	496	31	80(1	80(1	NUM
fumecheng-2259	496	32	)	)	PUNCT
fumecheng-2259	496	33	,	,	PUNCT
fumecheng-2259	496	34	pp	pp	PROPN
fumecheng-2259	496	35	.	.	PUNCT
fumecheng-2259	497	1	1579–159	1579–159	PROPN
fumecheng-2259	497	2	.	.	PUNCT
fumecheng-2259	498	1	26	26	NUM
fumecheng-2259	498	2	.	.	PUNCT
fumecheng-2259	499	1	mindlin	mindlin	PROPN
fumecheng-2259	499	2	,	,	PUNCT
fumecheng-2259	499	3	r.	r.	PROPN
fumecheng-2259	499	4	d.	d.	PROPN
fumecheng-2259	499	5	,	,	PUNCT
fumecheng-2259	499	6	1963	1963	NUM
fumecheng-2259	499	7	,	,	PUNCT
fumecheng-2259	499	8	influence	influence	NOUN
fumecheng-2259	499	9	of	of	ADP
fumecheng-2259	499	10	couple	couple	NOUN
fumecheng-2259	499	11	-	-	PUNCT
fumecheng-2259	499	12	stresses	stress	NOUN
fumecheng-2259	499	13	on	on	ADP
fumecheng-2259	499	14	stress	stress	NOUN
fumecheng-2259	499	15	concentrations	concentration	NOUN
fumecheng-2259	499	16	.	.	PUNCT
fumecheng-2259	500	1	experimental	experimental	ADJ
fumecheng-2259	500	2	mechanics	mechanic	NOUN
fumecheng-2259	500	3	,	,	PUNCT
fumecheng-2259	500	4	3(1	3(1	NUM
fumecheng-2259	500	5	)	)	PUNCT
fumecheng-2259	500	6	,	,	PUNCT
fumecheng-2259	500	7	pp	pp	ADP
fumecheng-2259	500	8	.	.	PUNCT
fumecheng-2259	501	1	1	1	NUM
fumecheng-2259	501	2	-	-	SYM
fumecheng-2259	501	3	7	7	NUM
fumecheng-2259	501	4	.	.	NOUN
fumecheng-2259	501	5	27	27	NUM
fumecheng-2259	501	6	.	.	PUNCT
fumecheng-2259	502	1	mindlin	mindlin	PROPN
fumecheng-2259	502	2	,	,	PUNCT
fumecheng-2259	502	3	r.	r.	PROPN
fumecheng-2259	502	4	d.	d.	PROPN
fumecheng-2259	502	5	,	,	PUNCT
fumecheng-2259	502	6	tiersten	tiersten	VERB
fumecheng-2259	502	7	,	,	PUNCT
fumecheng-2259	502	8	h.	h.	PROPN
fumecheng-2259	502	9	f.	f.	PROPN
fumecheng-2259	502	10	,	,	PUNCT
fumecheng-2259	502	11	1962	1962	NUM
fumecheng-2259	502	12	,	,	PUNCT
fumecheng-2259	502	13	effects	effect	NOUN
fumecheng-2259	502	14	of	of	ADP
fumecheng-2259	502	15	couple	couple	NOUN
fumecheng-2259	502	16	-	-	PUNCT
fumecheng-2259	502	17	stresses	stress	NOUN
fumecheng-2259	502	18	in	in	ADP
fumecheng-2259	502	19	linear	linear	PROPN
fumecheng-2259	502	20	elasticity	elasticity	NOUN
fumecheng-2259	502	21	,	,	PUNCT
fumecheng-2259	502	22	archive	archive	NOUN
fumecheng-2259	502	23	for	for	ADP
fumecheng-2259	502	24	rational	rational	ADJ
fumecheng-2259	502	25	mechanics	mechanic	NOUN
fumecheng-2259	502	26	and	and	CCONJ
fumecheng-2259	502	27	analysis	analysis	NOUN
fumecheng-2259	502	28	,	,	PUNCT
fumecheng-2259	502	29	11(1	11(1	NUM
fumecheng-2259	502	30	)	)	PUNCT
fumecheng-2259	502	31	,	,	PUNCT
fumecheng-2259	502	32	pp	pp	ADJ
fumecheng-2259	502	33	.	.	PUNCT
fumecheng-2259	503	1	415	415	NUM
fumecheng-2259	503	2	-	-	SYM
fumecheng-2259	503	3	448	448	NUM
fumecheng-2259	503	4	.	.	PUNCT
fumecheng-2259	504	1	28	28	NUM
fumecheng-2259	504	2	.	.	X
fumecheng-2259	505	1	toupin	toupin	PROPN
fumecheng-2259	505	2	,	,	PUNCT
fumecheng-2259	505	3	r.	r.	PROPN
fumecheng-2259	505	4	a.	a.	PROPN
fumecheng-2259	505	5	,	,	PUNCT
fumecheng-2259	505	6	1962	1962	NUM
fumecheng-2259	505	7	,	,	PUNCT
fumecheng-2259	505	8	elastic	elastic	ADJ
fumecheng-2259	505	9	materials	material	NOUN
fumecheng-2259	505	10	with	with	ADP
fumecheng-2259	505	11	couple	couple	NOUN
fumecheng-2259	505	12	-	-	PUNCT
fumecheng-2259	505	13	stresses	stress	NOUN
fumecheng-2259	505	14	,	,	PUNCT
fumecheng-2259	505	15	archive	archive	NOUN
fumecheng-2259	505	16	for	for	ADP
fumecheng-2259	505	17	rational	rational	ADJ
fumecheng-2259	505	18	mechanics	mechanic	NOUN
fumecheng-2259	505	19	and	and	CCONJ
fumecheng-2259	505	20	analysis	analysis	NOUN
fumecheng-2259	505	21	,	,	PUNCT
fumecheng-2259	505	22	11(1	11(1	NUM
fumecheng-2259	505	23	)	)	PUNCT
fumecheng-2259	505	24	,	,	PUNCT
fumecheng-2259	505	25	pp	pp	PROPN
fumecheng-2259	505	26	.	.	PUNCT
fumecheng-2259	506	1	385	385	NUM
fumecheng-2259	506	2	-	-	SYM
fumecheng-2259	506	3	414	414	NUM
fumecheng-2259	506	4	.	.	NOUN
fumecheng-2259	506	5	29	29	NUM
fumecheng-2259	506	6	.	.	PUNCT
fumecheng-2259	507	1	koiter	koiter	NOUN
fumecheng-2259	507	2	,	,	PUNCT
fumecheng-2259	507	3	w.	w.	PROPN
fumecheng-2259	507	4	t.	t.	PROPN
fumecheng-2259	507	5	,	,	PUNCT
fumecheng-2259	507	6	1964	1964	NUM
fumecheng-2259	507	7	,	,	PUNCT
fumecheng-2259	507	8	couple	couple	NOUN
fumecheng-2259	507	9	-	-	PUNCT
fumecheng-2259	507	10	stresses	stress	NOUN
fumecheng-2259	507	11	in	in	ADP
fumecheng-2259	507	12	the	the	DET
fumecheng-2259	507	13	theory	theory	NOUN
fumecheng-2259	507	14	of	of	ADP
fumecheng-2259	507	15	elasticity	elasticity	NOUN
fumecheng-2259	507	16	:	:	PUNCT
fumecheng-2259	507	17	i	i	PRON
fumecheng-2259	507	18	and	and	CCONJ
fumecheng-2259	507	19	ii	ii	PROPN
fumecheng-2259	507	20	,	,	PUNCT
fumecheng-2259	507	21	proceedings	proceeding	NOUN
fumecheng-2259	507	22	of	of	ADP
fumecheng-2259	507	23	the	the	DET
fumecheng-2259	507	24	koninklijke	koninklijke	PROPN
fumecheng-2259	507	25	nederlandse	nederlandse	PROPN
fumecheng-2259	507	26	akademie	akademie	PROPN
fumecheng-2259	507	27	van	van	PROPN
fumecheng-2259	507	28	wetenschappen	wetenschappen	NOUN
fumecheng-2259	507	29	,	,	PUNCT
fumecheng-2259	507	30	b67	b67	NOUN
fumecheng-2259	507	31	,	,	PUNCT
fumecheng-2259	507	32	pp	pp	ADJ
fumecheng-2259	507	33	.	.	PUNCT
fumecheng-2259	508	1	17–44	17–44	X
fumecheng-2259	508	2	.	.	NOUN
fumecheng-2259	508	3	30	30	NUM
fumecheng-2259	508	4	.	.	X
fumecheng-2259	509	1	yang	yang	PROPN
fumecheng-2259	509	2	,	,	PUNCT
fumecheng-2259	509	3	f.	f.	PROPN
fumecheng-2259	509	4	a.	a.	PROPN
fumecheng-2259	509	5	c.	c.	PROPN
fumecheng-2259	509	6	m.	m.	PROPN
fumecheng-2259	509	7	,	,	PUNCT
fumecheng-2259	509	8	chong	chong	PROPN
fumecheng-2259	509	9	,	,	PUNCT
fumecheng-2259	509	10	a.	a.	PROPN
fumecheng-2259	509	11	c.	c.	PROPN
fumecheng-2259	509	12	m.	m.	PROPN
fumecheng-2259	509	13	,	,	PUNCT
fumecheng-2259	509	14	lam	lam	PROPN
fumecheng-2259	509	15	,	,	PUNCT
fumecheng-2259	509	16	d.	d.	PROPN
fumecheng-2259	509	17	c.	c.	PROPN
fumecheng-2259	509	18	c.	c.	PROPN
fumecheng-2259	509	19	,	,	PUNCT
fumecheng-2259	509	20	tong	tong	PROPN
fumecheng-2259	509	21	,	,	PUNCT
fumecheng-2259	509	22	p.	p.	PROPN
fumecheng-2259	509	23	,	,	PUNCT
fumecheng-2259	509	24	2002	2002	NUM
fumecheng-2259	509	25	,	,	PUNCT
fumecheng-2259	509	26	couple	couple	NOUN
fumecheng-2259	509	27	stress	stress	NOUN
fumecheng-2259	509	28	based	base	VERB
fumecheng-2259	509	29	strain	strain	NOUN
fumecheng-2259	509	30	gradient	gradient	NOUN
fumecheng-2259	509	31	theory	theory	NOUN
fumecheng-2259	509	32	for	for	ADP
fumecheng-2259	509	33	elasticity	elasticity	NOUN
fumecheng-2259	509	34	.	.	PUNCT
fumecheng-2259	510	1	international	international	ADJ
fumecheng-2259	510	2	journal	journal	PROPN
fumecheng-2259	510	3	of	of	ADP
fumecheng-2259	510	4	solids	solid	NOUN
fumecheng-2259	510	5	and	and	CCONJ
fumecheng-2259	510	6	structures	structure	NOUN
fumecheng-2259	510	7	,	,	PUNCT
fumecheng-2259	510	8	39(10	39(10	NUM
fumecheng-2259	510	9	)	)	PUNCT
fumecheng-2259	510	10	,	,	PUNCT
fumecheng-2259	510	11	pp	pp	ADJ
fumecheng-2259	510	12	.	.	PUNCT
fumecheng-2259	511	1	2731	2731	NUM
fumecheng-2259	511	2	-	-	SYM
fumecheng-2259	511	3	2743	2743	NUM
fumecheng-2259	511	4	.	.	PUNCT
fumecheng-2259	512	1	31	31	NUM
fumecheng-2259	512	2	.	.	PUNCT
fumecheng-2259	513	1	karliţiš	karliţiš	PROPN
fumecheng-2259	513	2	,	,	PUNCT
fumecheng-2259	513	3	d.	d.	PROPN
fumecheng-2259	513	4	,	,	PUNCT
fumecheng-2259	513	5	koziš	koziš	PROPN
fumecheng-2259	513	6	,	,	PUNCT
fumecheng-2259	513	7	p.	p.	PROPN
fumecheng-2259	513	8	,	,	PUNCT
fumecheng-2259	513	9	pavloviš	pavloviš	PROPN
fumecheng-2259	513	10	,	,	PUNCT
fumecheng-2259	513	11	r.	r.	PROPN
fumecheng-2259	513	12	,	,	PUNCT
fumecheng-2259	513	13	2014	2014	NUM
fumecheng-2259	513	14	,	,	PUNCT
fumecheng-2259	513	15	free	free	ADJ
fumecheng-2259	513	16	transverse	transverse	NOUN
fumecheng-2259	513	17	vibration	vibration	NOUN
fumecheng-2259	513	18	of	of	ADP
fumecheng-2259	513	19	nonlocal	nonlocal	ADJ
fumecheng-2259	513	20	viscoelastic	viscoelastic	ADJ
fumecheng-2259	513	21	orthotropic	orthotropic	ADJ
fumecheng-2259	513	22	multinanoplate	multinanoplate	ADJ
fumecheng-2259	513	23	system	system	NOUN
fumecheng-2259	513	24	(	(	PUNCT
fumecheng-2259	513	25	mnps	mnps	PROPN
fumecheng-2259	513	26	)	)	PUNCT
fumecheng-2259	513	27	embedded	embed	VERB
fumecheng-2259	513	28	in	in	ADP
fumecheng-2259	513	29	a	a	DET
fumecheng-2259	513	30	viscoelastic	viscoelastic	ADJ
fumecheng-2259	513	31	medium	medium	ADJ
fumecheng-2259	513	32	,	,	PUNCT
fumecheng-2259	513	33	composite	composite	ADJ
fumecheng-2259	513	34	structures	structure	NOUN
fumecheng-2259	513	35	,	,	PUNCT
fumecheng-2259	513	36	115	115	NUM
fumecheng-2259	513	37	,	,	PUNCT
fumecheng-2259	513	38	pp	pp	ADJ
fumecheng-2259	513	39	.	.	PUNCT
fumecheng-2259	513	40	89	89	NUM
fumecheng-2259	513	41	-	-	SYM
fumecheng-2259	513	42	99	99	NUM
fumecheng-2259	513	43	.	.	PUNCT
fumecheng-2259	514	1	32	32	NUM
fumecheng-2259	514	2	.	.	PUNCT
fumecheng-2259	515	1	karliţiš	karliţiš	PROPN
fumecheng-2259	515	2	,	,	PUNCT
fumecheng-2259	515	3	d.	d.	PROPN
fumecheng-2259	515	4	,	,	PUNCT
fumecheng-2259	515	5	cajiš	cajiš	NOUN
fumecheng-2259	515	6	,	,	PUNCT
fumecheng-2259	515	7	m.	m.	NOUN
fumecheng-2259	515	8	,	,	PUNCT
fumecheng-2259	515	9	koziš	koziš	PROPN
fumecheng-2259	515	10	,	,	PUNCT
fumecheng-2259	515	11	p.	p.	PROPN
fumecheng-2259	515	12	,	,	PUNCT
fumecheng-2259	515	13	pavloviš	pavloviš	NOUN
fumecheng-2259	515	14	,	,	PUNCT
fumecheng-2259	515	15	i.	i.	NOUN
fumecheng-2259	515	16	,	,	PUNCT
fumecheng-2259	515	17	2015	2015	NUM
fumecheng-2259	515	18	,	,	PUNCT
fumecheng-2259	515	19	temperature	temperature	NOUN
fumecheng-2259	515	20	effects	effect	NOUN
fumecheng-2259	515	21	on	on	ADP
fumecheng-2259	515	22	the	the	DET
fumecheng-2259	515	23	vibration	vibration	NOUN
fumecheng-2259	515	24	and	and	CCONJ
fumecheng-2259	515	25	stability	stability	NOUN
fumecheng-2259	515	26	behaviour	behaviour	NOUN
fumecheng-2259	515	27	of	of	ADP
fumecheng-2259	515	28	multi	multi	ADJ
fumecheng-2259	515	29	-	-	ADJ
fumecheng-2259	515	30	layered	layered	ADJ
fumecheng-2259	515	31	graphene	graphene	NOUN
fumecheng-2259	515	32	sheets	sheet	NOUN
fumecheng-2259	515	33	embedded	embed	VERB
fumecheng-2259	515	34	in	in	ADP
fumecheng-2259	515	35	an	an	DET
fumecheng-2259	515	36	elastic	elastic	ADJ
fumecheng-2259	515	37	medium	medium	NOUN
fumecheng-2259	515	38	,	,	PUNCT
fumecheng-2259	515	39	composite	composite	ADJ
fumecheng-2259	515	40	structures	structure	NOUN
fumecheng-2259	515	41	,	,	PUNCT
fumecheng-2259	515	42	131	131	NUM
fumecheng-2259	515	43	,	,	PUNCT
fumecheng-2259	515	44	pp	pp	ADJ
fumecheng-2259	515	45	.	.	PUNCT
fumecheng-2259	516	1	672	672	NUM
fumecheng-2259	516	2	-	-	SYM
fumecheng-2259	516	3	681	681	NUM
fumecheng-2259	516	4	.	.	PUNCT
fumecheng-2259	517	1	33	33	NUM
fumecheng-2259	517	2	.	.	PUNCT
fumecheng-2259	518	1	murmu	murmu	NOUN
fumecheng-2259	518	2	,	,	PUNCT
fumecheng-2259	518	3	t.	t.	PROPN
fumecheng-2259	518	4	,	,	PUNCT
fumecheng-2259	518	5	adhikari	adhikari	PROPN
fumecheng-2259	518	6	,	,	PUNCT
fumecheng-2259	518	7	s.	s.	PROPN
fumecheng-2259	518	8	,	,	PUNCT
fumecheng-2259	518	9	2010	2010	NUM
fumecheng-2259	518	10	,	,	PUNCT
fumecheng-2259	518	11	nonlocal	nonlocal	ADJ
fumecheng-2259	518	12	transverse	transverse	NOUN
fumecheng-2259	518	13	vibration	vibration	NOUN
fumecheng-2259	518	14	of	of	ADP
fumecheng-2259	518	15	double	double	ADJ
fumecheng-2259	518	16	-	-	PUNCT
fumecheng-2259	518	17	nanobeam	nanobeam	NOUN
fumecheng-2259	518	18	-	-	PUNCT
fumecheng-2259	518	19	systems	system	NOUN
fumecheng-2259	518	20	,	,	PUNCT
fumecheng-2259	518	21	journal	journal	NOUN
fumecheng-2259	518	22	of	of	ADP
fumecheng-2259	518	23	applied	applied	ADJ
fumecheng-2259	518	24	physics	physic	NOUN
fumecheng-2259	518	25	,	,	PUNCT
fumecheng-2259	518	26	108(8	108(8	NUM
fumecheng-2259	518	27	)	)	PUNCT
fumecheng-2259	518	28	,	,	PUNCT
fumecheng-2259	518	29	p.	p.	NOUN
fumecheng-2259	518	30	083514	083514	NUM
fumecheng-2259	518	31	.	.	PUNCT
fumecheng-2259	519	1	34	34	NUM
fumecheng-2259	519	2	.	.	PUNCT
fumecheng-2259	519	3	murmu	murmu	NOUN
fumecheng-2259	519	4	,	,	PUNCT
fumecheng-2259	519	5	t.	t.	PROPN
fumecheng-2259	519	6	,	,	PUNCT
fumecheng-2259	519	7	adhikari	adhikari	PROPN
fumecheng-2259	519	8	,	,	PUNCT
fumecheng-2259	519	9	s.	s.	PROPN
fumecheng-2259	519	10	,	,	PUNCT
fumecheng-2259	519	11	2010	2010	NUM
fumecheng-2259	519	12	,	,	PUNCT
fumecheng-2259	519	13	nonlocal	nonlocal	ADJ
fumecheng-2259	519	14	effects	effect	NOUN
fumecheng-2259	519	15	in	in	ADP
fumecheng-2259	519	16	the	the	DET
fumecheng-2259	519	17	longitudinal	longitudinal	ADJ
fumecheng-2259	519	18	vibration	vibration	NOUN
fumecheng-2259	519	19	of	of	ADP
fumecheng-2259	519	20	double	double	ADJ
fumecheng-2259	519	21	-	-	PUNCT
fumecheng-2259	519	22	nanorod	nanorod	NOUN
fumecheng-2259	519	23	systems	system	NOUN
fumecheng-2259	519	24	,	,	PUNCT
fumecheng-2259	519	25	physica	physica	NOUN
fumecheng-2259	519	26	e	e	NOUN
fumecheng-2259	519	27	:	:	PUNCT
fumecheng-2259	519	28	low	low	ADJ
fumecheng-2259	519	29	-	-	PUNCT
fumecheng-2259	519	30	dimensional	dimensional	ADJ
fumecheng-2259	519	31	systems	system	NOUN
fumecheng-2259	519	32	and	and	CCONJ
fumecheng-2259	519	33	nanostructures	nanostructure	NOUN
fumecheng-2259	519	34	,	,	PUNCT
fumecheng-2259	519	35	43(1	43(1	NOUN
fumecheng-2259	519	36	)	)	PUNCT
fumecheng-2259	519	37	,	,	PUNCT
fumecheng-2259	519	38	pp	pp	PROPN
fumecheng-2259	519	39	.	.	PUNCT
fumecheng-2259	520	1	415	415	NUM
fumecheng-2259	520	2	-	-	SYM
fumecheng-2259	520	3	422	422	NUM
fumecheng-2259	520	4	.	.	NOUN
fumecheng-2259	521	1	35	35	NUM
fumecheng-2259	521	2	.	.	PUNCT
fumecheng-2259	522	1	murmu	murmu	NOUN
fumecheng-2259	522	2	,	,	PUNCT
fumecheng-2259	522	3	t.	t.	PROPN
fumecheng-2259	522	4	,	,	PUNCT
fumecheng-2259	522	5	adhikari	adhikari	PROPN
fumecheng-2259	522	6	,	,	PUNCT
fumecheng-2259	522	7	s.	s.	PROPN
fumecheng-2259	522	8	,	,	PUNCT
fumecheng-2259	522	9	2011	2011	NUM
fumecheng-2259	522	10	,	,	PUNCT
fumecheng-2259	522	11	axial	axial	ADJ
fumecheng-2259	522	12	instability	instability	NOUN
fumecheng-2259	522	13	of	of	ADP
fumecheng-2259	522	14	double	double	ADJ
fumecheng-2259	522	15	-	-	PUNCT
fumecheng-2259	522	16	nanobeam	nanobeam	NOUN
fumecheng-2259	522	17	-	-	PUNCT
fumecheng-2259	522	18	systems	system	NOUN
fumecheng-2259	522	19	,	,	PUNCT
fumecheng-2259	522	20	physics	physics	NOUN
fumecheng-2259	522	21	letters	letter	NOUN
fumecheng-2259	522	22	a	a	PRON
fumecheng-2259	522	23	,	,	PUNCT
fumecheng-2259	522	24	375(3	375(3	NUM
fumecheng-2259	522	25	)	)	PUNCT
fumecheng-2259	522	26	,	,	PUNCT
fumecheng-2259	522	27	pp	pp	ADP
fumecheng-2259	522	28	.	.	PUNCT
fumecheng-2259	523	1	601	601	NUM
fumecheng-2259	523	2	-	-	NOUN
fumecheng-2259	523	3	608	608	NUM
fumecheng-2259	523	4	.	.	PUNCT