id	sid	tid	token	lemma	pos
fumecheng-10469	1	1	10469	10469	NUM
fumecheng-10469	1	2	facta	facta	PROPN
fumecheng-10469	1	3	universitatis	universitatis	PROPN
fumecheng-10469	1	4	series	series	NOUN
fumecheng-10469	1	5	:	:	PUNCT
fumecheng-10469	1	6	mechanical	mechanical	ADJ
fumecheng-10469	1	7	engineering	engineering	NOUN
fumecheng-10469	1	8	vol	vol	NOUN
fumecheng-10469	1	9	.	.	PROPN
fumecheng-10469	1	10	20	20	NUM
fumecheng-10469	1	11	,	,	PUNCT
fumecheng-10469	1	12	no	no	DET
fumecheng-10469	1	13	3	3	NUM
fumecheng-10469	1	14	,	,	PUNCT
fumecheng-10469	1	15	2022	2022	NUM
fumecheng-10469	1	16	,	,	PUNCT
fumecheng-10469	1	17	pp	pp	ADJ
fumecheng-10469	1	18	.	.	PUNCT
fumecheng-10469	2	1	457	457	NUM
fumecheng-10469	2	2	478	478	NUM
fumecheng-10469	2	3	https://doi.org/10.22190/fume210207007j	https://doi.org/10.22190/fume210207007j	PROPN
fumecheng-10469	2	4	©	©	PROPN
fumecheng-10469	2	5	2022	2022	NUM
fumecheng-10469	2	6	by	by	ADP
fumecheng-10469	2	7	university	university	PROPN
fumecheng-10469	2	8	of	of	ADP
fumecheng-10469	2	9	niš	niš	PROPN
fumecheng-10469	2	10	,	,	PUNCT
fumecheng-10469	2	11	serbia	serbia	PROPN
fumecheng-10469	2	12	|	|	ADV
fumecheng-10469	2	13	creative	creative	ADJ
fumecheng-10469	2	14	commons	common	NOUN
fumecheng-10469	2	15	license	license	NOUN
fumecheng-10469	2	16	:	:	PUNCT
fumecheng-10469	2	17	cc	cc	VERB
fumecheng-10469	2	18	by	by	ADP
fumecheng-10469	2	19	-	-	PUNCT
fumecheng-10469	2	20	nc	nc	VERB
fumecheng-10469	2	21	-	-	PUNCT
fumecheng-10469	2	22	nd	nd	ADV
fumecheng-10469	2	23	original	original	ADJ
fumecheng-10469	2	24	scientific	scientific	ADJ
fumecheng-10469	2	25	paper	paper	NUM
fumecheng-10469	2	26	detection	detection	NOUN
fumecheng-10469	2	27	of	of	ADP
fumecheng-10469	2	28	nonlocal	nonlocal	ADJ
fumecheng-10469	2	29	calibration	calibration	NOUN
fumecheng-10469	2	30	parameters	parameter	NOUN
fumecheng-10469	2	31	and	and	CCONJ
fumecheng-10469	2	32	range	range	NOUN
fumecheng-10469	2	33	interaction	interaction	NOUN
fumecheng-10469	2	34	for	for	ADP
fumecheng-10469	2	35	dynamics	dynamic	NOUN
fumecheng-10469	2	36	of	of	ADP
fumecheng-10469	2	37	fgm	fgm	PROPN
fumecheng-10469	2	38	porous	porous	ADJ
fumecheng-10469	2	39	nanobeams	nanobeam	NOUN
fumecheng-10469	2	40	under	under	ADP
fumecheng-10469	2	41	electro	electro	ADJ
fumecheng-10469	2	42	-	-	PUNCT
fumecheng-10469	2	43	mechanical	mechanical	ADJ
fumecheng-10469	2	44	loads	load	NOUN
fumecheng-10469	2	45	piotr	piotr	PROPN
fumecheng-10469	2	46	jankowski	jankowski	PROPN
fumecheng-10469	2	47	faculty	faculty	NOUN
fumecheng-10469	2	48	of	of	ADP
fumecheng-10469	2	49	mechanical	mechanical	ADJ
fumecheng-10469	2	50	engineering	engineering	NOUN
fumecheng-10469	2	51	,	,	PUNCT
fumecheng-10469	2	52	bialystok	bialystok	ADJ
fumecheng-10469	2	53	university	university	NOUN
fumecheng-10469	2	54	of	of	ADP
fumecheng-10469	2	55	technology	technology	NOUN
fumecheng-10469	2	56	,	,	PUNCT
fumecheng-10469	2	57	poland	poland	PROPN
fumecheng-10469	2	58	abstract	abstract	NOUN
fumecheng-10469	2	59	.	.	PUNCT
fumecheng-10469	3	1	the	the	DET
fumecheng-10469	3	2	present	present	ADJ
fumecheng-10469	3	3	investigation	investigation	NOUN
fumecheng-10469	3	4	examines	examine	VERB
fumecheng-10469	3	5	the	the	DET
fumecheng-10469	3	6	range	range	NOUN
fumecheng-10469	3	7	of	of	ADP
fumecheng-10469	3	8	effect	effect	NOUN
fumecheng-10469	3	9	of	of	ADP
fumecheng-10469	3	10	nonlocal	nonlocal	ADJ
fumecheng-10469	3	11	parameters	parameter	NOUN
fumecheng-10469	3	12	on	on	ADP
fumecheng-10469	3	13	dynamic	dynamic	ADJ
fumecheng-10469	3	14	behavior	behavior	NOUN
fumecheng-10469	3	15	of	of	ADP
fumecheng-10469	3	16	a	a	DET
fumecheng-10469	3	17	smart	smart	ADJ
fumecheng-10469	3	18	beam	beam	NOUN
fumecheng-10469	3	19	-	-	PUNCT
fumecheng-10469	3	20	like	like	ADJ
fumecheng-10469	3	21	nanostructure	nanostructure	NOUN
fumecheng-10469	3	22	modeled	model	VERB
fumecheng-10469	3	23	as	as	SCONJ
fumecheng-10469	3	24	sandwich	sandwich	NOUN
fumecheng-10469	3	25	functionally	functionally	ADV
fumecheng-10469	3	26	graded	grade	VERB
fumecheng-10469	3	27	porous	porous	ADJ
fumecheng-10469	3	28	nanobeam	nanobeam	NOUN
fumecheng-10469	3	29	with	with	ADP
fumecheng-10469	3	30	piezoelectric	piezoelectric	ADJ
fumecheng-10469	3	31	layers	layer	NOUN
fumecheng-10469	3	32	.	.	PUNCT
fumecheng-10469	4	1	therefore	therefore	ADV
fumecheng-10469	4	2	,	,	PUNCT
fumecheng-10469	4	3	the	the	DET
fumecheng-10469	4	4	study	study	NOUN
fumecheng-10469	4	5	is	be	AUX
fumecheng-10469	4	6	concentrated	concentrate	VERB
fumecheng-10469	4	7	on	on	ADP
fumecheng-10469	4	8	determining	determine	VERB
fumecheng-10469	4	9	length	length	NOUN
fumecheng-10469	4	10	of	of	ADP
fumecheng-10469	4	11	the	the	DET
fumecheng-10469	4	12	structure	structure	NOUN
fumecheng-10469	4	13	for	for	ADP
fumecheng-10469	4	14	which	which	PRON
fumecheng-10469	4	15	nonlocal	nonlocal	ADJ
fumecheng-10469	4	16	effects	effect	NOUN
fumecheng-10469	4	17	are	be	AUX
fumecheng-10469	4	18	observed	observe	VERB
fumecheng-10469	4	19	for	for	ADP
fumecheng-10469	4	20	vibration	vibration	NOUN
fumecheng-10469	4	21	of	of	ADP
fumecheng-10469	4	22	nanobeam	nanobeam	NOUN
fumecheng-10469	4	23	under	under	ADP
fumecheng-10469	4	24	in	in	ADP
fumecheng-10469	4	25	-	-	PUNCT
fumecheng-10469	4	26	plane	plane	NOUN
fumecheng-10469	4	27	electro	electro	ADJ
fumecheng-10469	4	28	-	-	PUNCT
fumecheng-10469	4	29	mechanical	mechanical	ADJ
fumecheng-10469	4	30	forces	force	NOUN
fumecheng-10469	4	31	.	.	PUNCT
fumecheng-10469	5	1	the	the	DET
fumecheng-10469	5	2	nanobeam	nanobeam	NOUN
fumecheng-10469	5	3	-	-	PUNCT
fumecheng-10469	5	4	based	base	VERB
fumecheng-10469	5	5	nems	nem	NOUN
fumecheng-10469	5	6	device	device	NOUN
fumecheng-10469	5	7	model	model	NOUN
fumecheng-10469	5	8	is	be	AUX
fumecheng-10469	5	9	obtained	obtain	VERB
fumecheng-10469	5	10	based	base	VERB
fumecheng-10469	5	11	on	on	ADP
fumecheng-10469	5	12	assumptions	assumption	NOUN
fumecheng-10469	5	13	of	of	ADP
fumecheng-10469	5	14	the	the	DET
fumecheng-10469	5	15	nonlocal	nonlocal	ADJ
fumecheng-10469	5	16	strain	strain	NOUN
fumecheng-10469	5	17	gradient	gradient	NOUN
fumecheng-10469	5	18	theory	theory	NOUN
fumecheng-10469	5	19	in	in	ADP
fumecheng-10469	5	20	conjunction	conjunction	NOUN
fumecheng-10469	5	21	with	with	ADP
fumecheng-10469	5	22	reddy	reddy	PROPN
fumecheng-10469	5	23	higher	high	ADJ
fumecheng-10469	5	24	-	-	PUNCT
fumecheng-10469	5	25	order	order	NOUN
fumecheng-10469	5	26	shear	shear	NOUN
fumecheng-10469	5	27	deformation	deformation	NOUN
fumecheng-10469	5	28	theory	theory	NOUN
fumecheng-10469	5	29	.	.	PUNCT
fumecheng-10469	6	1	the	the	DET
fumecheng-10469	6	2	investigation	investigation	NOUN
fumecheng-10469	6	3	present	present	VERB
fumecheng-10469	6	4	differences	difference	NOUN
fumecheng-10469	6	5	in	in	ADP
fumecheng-10469	6	6	obtained	obtain	VERB
fumecheng-10469	6	7	results	result	NOUN
fumecheng-10469	6	8	for	for	ADP
fumecheng-10469	6	9	nanostructure	nanostructure	NOUN
fumecheng-10469	6	10	’s	’s	PART
fumecheng-10469	6	11	free	free	ADJ
fumecheng-10469	6	12	vibration	vibration	NOUN
fumecheng-10469	6	13	based	base	VERB
fumecheng-10469	6	14	on	on	ADP
fumecheng-10469	6	15	classical	classical	ADJ
fumecheng-10469	6	16	and	and	CCONJ
fumecheng-10469	6	17	nonlocal	nonlocal	ADJ
fumecheng-10469	6	18	assumptions	assumption	NOUN
fumecheng-10469	6	19	.	.	PUNCT
fumecheng-10469	7	1	to	to	PART
fumecheng-10469	7	2	study	study	VERB
fumecheng-10469	7	3	range	range	NOUN
fumecheng-10469	7	4	of	of	ADP
fumecheng-10469	7	5	application	application	NOUN
fumecheng-10469	7	6	of	of	ADP
fumecheng-10469	7	7	nonlocal	nonlocal	ADJ
fumecheng-10469	7	8	parameters	parameter	NOUN
fumecheng-10469	7	9	for	for	ADP
fumecheng-10469	7	10	different	different	ADJ
fumecheng-10469	7	11	length	length	NOUN
fumecheng-10469	7	12	of	of	ADP
fumecheng-10469	7	13	simply	simply	ADV
fumecheng-10469	7	14	supported	support	VERB
fumecheng-10469	7	15	nanobeam	nanobeam	NOUN
fumecheng-10469	7	16	,	,	PUNCT
fumecheng-10469	7	17	defined	define	VERB
fumecheng-10469	7	18	eigenvalue	eigenvalue	NOUN
fumecheng-10469	7	19	problem	problem	NOUN
fumecheng-10469	7	20	is	be	AUX
fumecheng-10469	7	21	solved	solve	VERB
fumecheng-10469	7	22	in	in	ADP
fumecheng-10469	7	23	view	view	NOUN
fumecheng-10469	7	24	of	of	ADP
fumecheng-10469	7	25	variation	variation	NOUN
fumecheng-10469	7	26	of	of	ADP
fumecheng-10469	7	27	length	length	NOUN
fumecheng-10469	7	28	to	to	ADP
fumecheng-10469	7	29	thickness	thickness	NOUN
fumecheng-10469	7	30	ratio	ratio	NOUN
fumecheng-10469	7	31	,	,	PUNCT
fumecheng-10469	7	32	distribution	distribution	NOUN
fumecheng-10469	7	33	of	of	ADP
fumecheng-10469	7	34	material	material	NOUN
fumecheng-10469	7	35	properties	property	NOUN
fumecheng-10469	7	36	,	,	PUNCT
fumecheng-10469	7	37	as	as	ADV
fumecheng-10469	7	38	well	well	ADV
fumecheng-10469	7	39	as	as	ADP
fumecheng-10469	7	40	electro	electro	ADJ
fumecheng-10469	7	41	-	-	PUNCT
fumecheng-10469	7	42	mechanical	mechanical	ADJ
fumecheng-10469	7	43	loads	load	NOUN
fumecheng-10469	7	44	.	.	PUNCT
fumecheng-10469	8	1	what	what	PRON
fumecheng-10469	8	2	is	be	AUX
fumecheng-10469	8	3	more	more	ADJ
fumecheng-10469	8	4	,	,	PUNCT
fumecheng-10469	8	5	the	the	DET
fumecheng-10469	8	6	study	study	NOUN
fumecheng-10469	8	7	attempts	attempt	VERB
fumecheng-10469	8	8	to	to	PART
fumecheng-10469	8	9	determine	determine	VERB
fumecheng-10469	8	10	and	and	CCONJ
fumecheng-10469	8	11	calibrate	calibrate	ADJ
fumecheng-10469	8	12	values	value	NOUN
fumecheng-10469	8	13	of	of	ADP
fumecheng-10469	8	14	size	size	NOUN
fumecheng-10469	8	15	-	-	PUNCT
fumecheng-10469	8	16	dependent	dependent	ADJ
fumecheng-10469	8	17	coefficients	coefficient	NOUN
fumecheng-10469	8	18	based	base	VERB
fumecheng-10469	8	19	on	on	ADP
fumecheng-10469	8	20	expected	expect	VERB
fumecheng-10469	8	21	natural	natural	ADJ
fumecheng-10469	8	22	frequencies	frequency	NOUN
fumecheng-10469	8	23	,	,	PUNCT
fumecheng-10469	8	24	material	material	NOUN
fumecheng-10469	8	25	properties	property	NOUN
fumecheng-10469	8	26	,	,	PUNCT
fumecheng-10469	8	27	and	and	CCONJ
fumecheng-10469	8	28	applied	apply	VERB
fumecheng-10469	8	29	loads	load	NOUN
fumecheng-10469	8	30	.	.	PUNCT
fumecheng-10469	9	1	the	the	DET
fumecheng-10469	9	2	results	result	NOUN
fumecheng-10469	9	3	are	be	AUX
fumecheng-10469	9	4	completed	complete	VERB
fumecheng-10469	9	5	with	with	ADP
fumecheng-10469	9	6	extensive	extensive	ADJ
fumecheng-10469	9	7	discussion	discussion	NOUN
fumecheng-10469	9	8	on	on	ADP
fumecheng-10469	9	9	the	the	DET
fumecheng-10469	9	10	dependence	dependence	NOUN
fumecheng-10469	9	11	of	of	ADP
fumecheng-10469	9	12	nonlocal	nonlocal	ADJ
fumecheng-10469	9	13	parameters	parameter	NOUN
fumecheng-10469	9	14	on	on	ADP
fumecheng-10469	9	15	nanobeam	nanobeam	NOUN
fumecheng-10469	9	16	’s	’s	PART
fumecheng-10469	9	17	dynamic	dynamic	ADJ
fumecheng-10469	9	18	response	response	NOUN
fumecheng-10469	9	19	,	,	PUNCT
fumecheng-10469	9	20	thus	thus	ADV
fumecheng-10469	9	21	may	may	AUX
fumecheng-10469	9	22	be	be	AUX
fumecheng-10469	9	23	an	an	DET
fumecheng-10469	9	24	important	important	ADJ
fumecheng-10469	9	25	step	step	NOUN
fumecheng-10469	9	26	forward	forward	ADV
fumecheng-10469	9	27	to	to	PART
fumecheng-10469	9	28	extend	extend	VERB
fumecheng-10469	9	29	understanding	understanding	NOUN
fumecheng-10469	9	30	of	of	ADP
fumecheng-10469	9	31	ultra	ultra	ADJ
fumecheng-10469	9	32	-	-	ADJ
fumecheng-10469	9	33	small	small	ADJ
fumecheng-10469	9	34	structure	structure	NOUN
fumecheng-10469	9	35	’s	’s	PART
fumecheng-10469	9	36	behavior	behavior	NOUN
fumecheng-10469	9	37	.	.	PUNCT
fumecheng-10469	10	1	key	key	ADJ
fumecheng-10469	10	2	words	word	NOUN
fumecheng-10469	10	3	:	:	PUNCT
fumecheng-10469	10	4	nanobeam	nanobeam	ADJ
fumecheng-10469	10	5	,	,	PUNCT
fumecheng-10469	10	6	fgm	fgm	PROPN
fumecheng-10469	10	7	,	,	PUNCT
fumecheng-10469	10	8	porosity	porosity	NOUN
fumecheng-10469	10	9	,	,	PUNCT
fumecheng-10469	10	10	piezoelectric	piezoelectric	ADJ
fumecheng-10469	10	11	effect	effect	NOUN
fumecheng-10469	10	12	,	,	PUNCT
fumecheng-10469	10	13	free	free	ADJ
fumecheng-10469	10	14	vibration	vibration	NOUN
fumecheng-10469	10	15	,	,	PUNCT
fumecheng-10469	10	16	detected	detect	VERB
fumecheng-10469	10	17	nonlocal	nonlocal	ADJ
fumecheng-10469	10	18	parameters	parameter	NOUN
fumecheng-10469	10	19	1	1	NUM
fumecheng-10469	10	20	.	.	PUNCT
fumecheng-10469	11	1	introduction	introduction	NOUN
fumecheng-10469	11	2	nanoelectromechanical	nanoelectromechanical	ADJ
fumecheng-10469	11	3	systems	system	NOUN
fumecheng-10469	11	4	(	(	PUNCT
fumecheng-10469	11	5	nems	nem	NOUN
fumecheng-10469	11	6	)	)	PUNCT
fumecheng-10469	11	7	are	be	AUX
fumecheng-10469	11	8	modern	modern	ADJ
fumecheng-10469	11	9	devices	device	NOUN
fumecheng-10469	11	10	that	that	PRON
fumecheng-10469	11	11	employ	employ	VERB
fumecheng-10469	11	12	ultra	ultra	ADJ
fumecheng-10469	11	13	-	-	ADJ
fumecheng-10469	11	14	small	small	ADJ
fumecheng-10469	11	15	structures	structure	NOUN
fumecheng-10469	11	16	in	in	ADP
fumecheng-10469	11	17	form	form	NOUN
fumecheng-10469	11	18	of	of	ADP
fumecheng-10469	11	19	beams	beam	NOUN
fumecheng-10469	11	20	,	,	PUNCT
fumecheng-10469	11	21	plates	plate	NOUN
fumecheng-10469	11	22	,	,	PUNCT
fumecheng-10469	11	23	and	and	CCONJ
fumecheng-10469	11	24	shells	shell	NOUN
fumecheng-10469	11	25	which	which	PRON
fumecheng-10469	11	26	are	be	AUX
fumecheng-10469	11	27	powered	power	VERB
fumecheng-10469	11	28	by	by	ADP
fumecheng-10469	11	29	electrical	electrical	ADJ
fumecheng-10469	11	30	circuits	circuit	NOUN
fumecheng-10469	11	31	[	[	X
fumecheng-10469	11	32	1	1	NUM
fumecheng-10469	11	33	]	]	PUNCT
fumecheng-10469	11	34	.	.	PUNCT
fumecheng-10469	12	1	due	due	ADP
fumecheng-10469	12	2	to	to	ADP
fumecheng-10469	12	3	extremely	extremely	ADV
fumecheng-10469	12	4	small	small	ADJ
fumecheng-10469	12	5	size	size	NOUN
fumecheng-10469	12	6	of	of	ADP
fumecheng-10469	12	7	the	the	DET
fumecheng-10469	12	8	structure	structure	NOUN
fumecheng-10469	12	9	,	,	PUNCT
fumecheng-10469	12	10	these	these	DET
fumecheng-10469	12	11	devices	device	NOUN
fumecheng-10469	12	12	experience	experience	VERB
fumecheng-10469	12	13	unique	unique	ADJ
fumecheng-10469	12	14	properties	property	NOUN
fumecheng-10469	12	15	and	and	CCONJ
fumecheng-10469	12	16	characteristics	characteristic	NOUN
fumecheng-10469	12	17	.	.	PUNCT
fumecheng-10469	13	1	this	this	DET
fumecheng-10469	13	2	special	special	ADJ
fumecheng-10469	13	3	kind	kind	NOUN
fumecheng-10469	13	4	of	of	ADP
fumecheng-10469	13	5	structure	structure	NOUN
fumecheng-10469	13	6	found	find	VERB
fumecheng-10469	13	7	applications	application	NOUN
fumecheng-10469	13	8	in	in	ADP
fumecheng-10469	13	9	various	various	ADJ
fumecheng-10469	13	10	received	receive	VERB
fumecheng-10469	13	11	:	:	PUNCT
fumecheng-10469	13	12	february	february	PROPN
fumecheng-10469	13	13	07	07	NUM
fumecheng-10469	13	14	,	,	PUNCT
fumecheng-10469	13	15	2022	2022	NUM
fumecheng-10469	13	16	/	/	SYM
fumecheng-10469	13	17	accepted	accept	VERB
fumecheng-10469	13	18	february	february	PROPN
fumecheng-10469	13	19	26	26	NUM
fumecheng-10469	13	20	,	,	PUNCT
fumecheng-10469	13	21	2022	2022	NUM
fumecheng-10469	13	22	corresponding	correspond	VERB
fumecheng-10469	13	23	author	author	NOUN
fumecheng-10469	13	24	:	:	PUNCT
fumecheng-10469	13	25	piotr	piotr	PROPN
fumecheng-10469	13	26	jankowski	jankowski	PROPN
fumecheng-10469	13	27	faculty	faculty	NOUN
fumecheng-10469	13	28	of	of	ADP
fumecheng-10469	13	29	mechanical	mechanical	ADJ
fumecheng-10469	13	30	engineering	engineering	NOUN
fumecheng-10469	13	31	,	,	PUNCT
fumecheng-10469	13	32	bialystok	bialystok	ADJ
fumecheng-10469	13	33	university	university	NOUN
fumecheng-10469	13	34	of	of	ADP
fumecheng-10469	13	35	technology	technology	NOUN
fumecheng-10469	13	36	,	,	PUNCT
fumecheng-10469	13	37	wiejska	wiejska	PROPN
fumecheng-10469	13	38	45c	45c	NOUN
fumecheng-10469	13	39	,	,	PUNCT
fumecheng-10469	13	40	15	15	NUM
fumecheng-10469	13	41	-	-	SYM
fumecheng-10469	13	42	351	351	NUM
fumecheng-10469	13	43	bialystok	bialystok	ADJ
fumecheng-10469	13	44	,	,	PUNCT
fumecheng-10469	13	45	poland	poland	PROPN
fumecheng-10469	13	46	e	e	NOUN
fumecheng-10469	13	47	-	-	NOUN
fumecheng-10469	13	48	mail	mail	NOUN
fumecheng-10469	13	49	:	:	PUNCT
fumecheng-10469	13	50	p.jankowski@doktoranci.pb.edu.pl	p.jankowski@doktoranci.pb.edu.pl	X
fumecheng-10469	13	51	458	458	NUM
fumecheng-10469	13	52	p.	p.	PROPN
fumecheng-10469	13	53	jankowski	jankowski	PROPN
fumecheng-10469	13	54	areas	area	NOUN
fumecheng-10469	13	55	,	,	PUNCT
fumecheng-10469	13	56	such	such	ADJ
fumecheng-10469	13	57	as	as	ADP
fumecheng-10469	13	58	logic	logic	NOUN
fumecheng-10469	13	59	switches	switch	NOUN
fumecheng-10469	13	60	,	,	PUNCT
fumecheng-10469	13	61	sensors	sensor	NOUN
fumecheng-10469	13	62	,	,	PUNCT
fumecheng-10469	13	63	actuators	actuator	NOUN
fumecheng-10469	13	64	,	,	PUNCT
fumecheng-10469	13	65	and	and	CCONJ
fumecheng-10469	13	66	energy	energy	NOUN
fumecheng-10469	13	67	harvesting	harvesting	NOUN
fumecheng-10469	13	68	[	[	X
fumecheng-10469	13	69	2	2	NUM
fumecheng-10469	13	70	-	-	SYM
fumecheng-10469	13	71	4	4	NUM
fumecheng-10469	13	72	]	]	PUNCT
fumecheng-10469	13	73	.	.	PUNCT
fumecheng-10469	14	1	ultra	ultra	ADJ
fumecheng-10469	14	2	-	-	ADJ
fumecheng-10469	14	3	small	small	ADJ
fumecheng-10469	14	4	devices	device	NOUN
fumecheng-10469	14	5	operation	operation	NOUN
fumecheng-10469	14	6	may	may	AUX
fumecheng-10469	14	7	be	be	AUX
fumecheng-10469	14	8	based	base	VERB
fumecheng-10469	14	9	,	,	PUNCT
fumecheng-10469	14	10	inter	inter	PROPN
fumecheng-10469	14	11	alia	alia	NOUN
fumecheng-10469	14	12	,	,	PUNCT
fumecheng-10469	14	13	on	on	ADP
fumecheng-10469	14	14	electromagnetic	electromagnetic	ADJ
fumecheng-10469	14	15	[	[	X
fumecheng-10469	14	16	5	5	NUM
fumecheng-10469	14	17	]	]	PUNCT
fumecheng-10469	14	18	,	,	PUNCT
fumecheng-10469	14	19	piezoelectric	piezoelectric	NOUN
fumecheng-10469	14	20	[	[	X
fumecheng-10469	14	21	6	6	NUM
fumecheng-10469	14	22	]	]	PUNCT
fumecheng-10469	14	23	,	,	PUNCT
fumecheng-10469	14	24	and	and	CCONJ
fumecheng-10469	14	25	thermo	thermo	NOUN
fumecheng-10469	14	26	-	-	PUNCT
fumecheng-10469	14	27	electric	electric	ADJ
fumecheng-10469	14	28	[	[	X
fumecheng-10469	14	29	7	7	NUM
fumecheng-10469	14	30	]	]	X
fumecheng-10469	14	31	phenomena	phenomenon	NOUN
fumecheng-10469	14	32	.	.	PUNCT
fumecheng-10469	15	1	what	what	PRON
fumecheng-10469	15	2	is	be	AUX
fumecheng-10469	15	3	more	more	ADJ
fumecheng-10469	15	4	,	,	PUNCT
fumecheng-10469	15	5	operations	operation	NOUN
fumecheng-10469	15	6	principle	principle	NOUN
fumecheng-10469	15	7	for	for	ADP
fumecheng-10469	15	8	diverse	diverse	ADJ
fumecheng-10469	15	9	smallscaled	smallscale	VERB
fumecheng-10469	15	10	devices	device	NOUN
fumecheng-10469	15	11	is	be	AUX
fumecheng-10469	15	12	based	base	VERB
fumecheng-10469	15	13	on	on	ADP
fumecheng-10469	15	14	their	their	PRON
fumecheng-10469	15	15	buckling	buckle	VERB
fumecheng-10469	15	16	and	and	CCONJ
fumecheng-10469	15	17	vibration	vibration	NOUN
fumecheng-10469	15	18	characteristics	characteristic	NOUN
fumecheng-10469	15	19	[	[	X
fumecheng-10469	15	20	8	8	NUM
fumecheng-10469	15	21	]	]	PUNCT
fumecheng-10469	15	22	.	.	PUNCT
fumecheng-10469	16	1	in	in	ADP
fumecheng-10469	16	2	view	view	NOUN
fumecheng-10469	16	3	of	of	ADP
fumecheng-10469	16	4	ultra	ultra	ADJ
fumecheng-10469	16	5	-	-	ADJ
fumecheng-10469	16	6	small	small	ADJ
fumecheng-10469	16	7	dimensions	dimension	NOUN
fumecheng-10469	16	8	of	of	ADP
fumecheng-10469	16	9	the	the	DET
fumecheng-10469	16	10	structure	structure	NOUN
fumecheng-10469	16	11	,	,	PUNCT
fumecheng-10469	16	12	the	the	DET
fumecheng-10469	16	13	size	size	NOUN
fumecheng-10469	16	14	-	-	PUNCT
fumecheng-10469	16	15	dependent	dependent	ADJ
fumecheng-10469	16	16	characteristic	characteristic	NOUN
fumecheng-10469	16	17	is	be	AUX
fumecheng-10469	16	18	fundamental	fundamental	ADJ
fumecheng-10469	16	19	in	in	ADP
fumecheng-10469	16	20	modelling	modelling	NOUN
fumecheng-10469	16	21	of	of	ADP
fumecheng-10469	16	22	mechanical	mechanical	ADJ
fumecheng-10469	16	23	behavior	behavior	NOUN
fumecheng-10469	16	24	of	of	ADP
fumecheng-10469	16	25	nanoand	nanoand	PROPN
fumecheng-10469	16	26	micro	micro	ADJ
fumecheng-10469	16	27	-	-	ADJ
fumecheng-10469	16	28	sized	sized	ADJ
fumecheng-10469	16	29	elements	element	NOUN
fumecheng-10469	16	30	[	[	X
fumecheng-10469	16	31	9	9	NUM
fumecheng-10469	16	32	]	]	PUNCT
fumecheng-10469	16	33	.	.	PUNCT
fumecheng-10469	17	1	there	there	PRON
fumecheng-10469	17	2	are	be	VERB
fumecheng-10469	17	3	diverse	diverse	ADJ
fumecheng-10469	17	4	approaches	approach	NOUN
fumecheng-10469	17	5	to	to	PART
fumecheng-10469	17	6	study	study	VERB
fumecheng-10469	17	7	small	small	ADJ
fumecheng-10469	17	8	-	-	PUNCT
fumecheng-10469	17	9	scaled	scale	VERB
fumecheng-10469	17	10	structures	structure	NOUN
fumecheng-10469	17	11	,	,	PUNCT
fumecheng-10469	17	12	including	include	VERB
fumecheng-10469	17	13	molecular	molecular	ADJ
fumecheng-10469	17	14	dynamics	dynamic	NOUN
fumecheng-10469	17	15	[	[	X
fumecheng-10469	17	16	10	10	NUM
fumecheng-10469	17	17	]	]	PUNCT
fumecheng-10469	17	18	as	as	ADV
fumecheng-10469	17	19	well	well	ADV
fumecheng-10469	17	20	as	as	ADP
fumecheng-10469	17	21	continuum	continuum	ADJ
fumecheng-10469	17	22	-	-	PUNCT
fumecheng-10469	17	23	based	base	VERB
fumecheng-10469	17	24	nonlocal	nonlocal	ADJ
fumecheng-10469	17	25	theories	theory	NOUN
fumecheng-10469	17	26	.	.	PUNCT
fumecheng-10469	18	1	the	the	DET
fumecheng-10469	18	2	latter	latter	ADJ
fumecheng-10469	18	3	characterizes	characterize	VERB
fumecheng-10469	18	4	lower	low	ADJ
fumecheng-10469	18	5	computational	computational	ADJ
fumecheng-10469	18	6	effort	effort	NOUN
fumecheng-10469	18	7	for	for	ADP
fumecheng-10469	18	8	very	very	ADV
fumecheng-10469	18	9	complex	complex	ADJ
fumecheng-10469	18	10	ultra	ultra	ADJ
fumecheng-10469	18	11	-	-	ADJ
fumecheng-10469	18	12	small	small	ADJ
fumecheng-10469	18	13	systems	system	NOUN
fumecheng-10469	18	14	,	,	PUNCT
fumecheng-10469	18	15	and	and	CCONJ
fumecheng-10469	18	16	therefore	therefore	ADV
fumecheng-10469	18	17	gained	gain	VERB
fumecheng-10469	18	18	much	much	ADJ
fumecheng-10469	18	19	interest	interest	NOUN
fumecheng-10469	18	20	[	[	X
fumecheng-10469	18	21	11	11	NUM
fumecheng-10469	18	22	]	]	PUNCT
fumecheng-10469	18	23	.	.	PUNCT
fumecheng-10469	19	1	it	it	PRON
fumecheng-10469	19	2	should	should	AUX
fumecheng-10469	19	3	be	be	AUX
fumecheng-10469	19	4	noted	note	VERB
fumecheng-10469	19	5	,	,	PUNCT
fumecheng-10469	19	6	due	due	ADP
fumecheng-10469	19	7	to	to	ADP
fumecheng-10469	19	8	size	size	NOUN
fumecheng-10469	19	9	-	-	PUNCT
fumecheng-10469	19	10	dependent	dependent	ADJ
fumecheng-10469	19	11	phenomena	phenomenon	NOUN
fumecheng-10469	19	12	,	,	PUNCT
fumecheng-10469	19	13	the	the	DET
fumecheng-10469	19	14	classical	classical	ADJ
fumecheng-10469	19	15	continuum	continuum	PROPN
fumecheng-10469	19	16	-	-	PUNCT
fumecheng-10469	19	17	based	base	VERB
fumecheng-10469	19	18	theories	theory	NOUN
fumecheng-10469	19	19	are	be	AUX
fumecheng-10469	19	20	insufficient	insufficient	ADJ
fumecheng-10469	19	21	to	to	PART
fumecheng-10469	19	22	accurately	accurately	ADV
fumecheng-10469	19	23	describe	describe	VERB
fumecheng-10469	19	24	mechanical	mechanical	ADJ
fumecheng-10469	19	25	behavior	behavior	NOUN
fumecheng-10469	19	26	of	of	ADP
fumecheng-10469	19	27	ultra	ultra	ADJ
fumecheng-10469	19	28	-	-	ADJ
fumecheng-10469	19	29	small	small	ADJ
fumecheng-10469	19	30	structures	structure	NOUN
fumecheng-10469	19	31	.	.	PUNCT
fumecheng-10469	20	1	among	among	ADP
fumecheng-10469	20	2	advanced	advanced	ADJ
fumecheng-10469	20	3	continuum	continuum	PROPN
fumecheng-10469	20	4	-	-	PUNCT
fumecheng-10469	20	5	based	base	VERB
fumecheng-10469	20	6	nonlocal	nonlocal	ADJ
fumecheng-10469	20	7	theories	theory	NOUN
fumecheng-10469	20	8	,	,	PUNCT
fumecheng-10469	20	9	that	that	PRON
fumecheng-10469	20	10	capture	capture	VERB
fumecheng-10469	20	11	size	size	NOUN
fumecheng-10469	20	12	-	-	PUNCT
fumecheng-10469	20	13	dependent	dependent	ADJ
fumecheng-10469	20	14	effects	effect	NOUN
fumecheng-10469	20	15	in	in	ADP
fumecheng-10469	20	16	microand	microand	NOUN
fumecheng-10469	20	17	nanostructures	nanostructure	NOUN
fumecheng-10469	20	18	,	,	PUNCT
fumecheng-10469	20	19	one	one	PRON
fumecheng-10469	20	20	can	can	AUX
fumecheng-10469	20	21	distinguish	distinguish	VERB
fumecheng-10469	20	22	the	the	DET
fumecheng-10469	20	23	couple	couple	NOUN
fumecheng-10469	20	24	stress	stress	NOUN
fumecheng-10469	20	25	theory	theory	NOUN
fumecheng-10469	20	26	[	[	X
fumecheng-10469	20	27	12	12	NUM
fumecheng-10469	20	28	-	-	SYM
fumecheng-10469	20	29	14	14	NUM
fumecheng-10469	20	30	]	]	PUNCT
fumecheng-10469	20	31	,	,	PUNCT
fumecheng-10469	20	32	the	the	DET
fumecheng-10469	20	33	modified	modify	VERB
fumecheng-10469	20	34	couple	couple	NOUN
fumecheng-10469	20	35	stress	stress	NOUN
fumecheng-10469	20	36	theory	theory	NOUN
fumecheng-10469	20	37	[	[	X
fumecheng-10469	20	38	15	15	NUM
fumecheng-10469	20	39	]	]	PUNCT
fumecheng-10469	20	40	,	,	PUNCT
fumecheng-10469	20	41	mindlin	mindlin	PROPN
fumecheng-10469	20	42	’s	’s	PART
fumecheng-10469	20	43	strain	strain	PROPN
fumecheng-10469	20	44	gradient	gradient	NOUN
fumecheng-10469	20	45	theory	theory	NOUN
fumecheng-10469	20	46	[	[	X
fumecheng-10469	20	47	16,17	16,17	NUM
fumecheng-10469	20	48	]	]	PUNCT
fumecheng-10469	20	49	,	,	PUNCT
fumecheng-10469	20	50	the	the	DET
fumecheng-10469	20	51	modified	modify	VERB
fumecheng-10469	20	52	strain	strain	NOUN
fumecheng-10469	20	53	gradient	gradient	NOUN
fumecheng-10469	20	54	theory	theory	NOUN
fumecheng-10469	20	55	[	[	X
fumecheng-10469	20	56	18	18	NUM
fumecheng-10469	20	57	]	]	PUNCT
fumecheng-10469	20	58	,	,	PUNCT
fumecheng-10469	20	59	gurtin	gurtin	PROPN
fumecheng-10469	20	60	-	-	PUNCT
fumecheng-10469	20	61	murdoch	murdoch	PROPN
fumecheng-10469	20	62	surface	surface	PROPN
fumecheng-10469	20	63	elasticity	elasticity	NOUN
fumecheng-10469	20	64	[	[	X
fumecheng-10469	20	65	19	19	NUM
fumecheng-10469	20	66	]	]	PUNCT
fumecheng-10469	20	67	,	,	PUNCT
fumecheng-10469	20	68	the	the	DET
fumecheng-10469	20	69	nonlocal	nonlocal	ADJ
fumecheng-10469	20	70	elasticity	elasticity	NOUN
fumecheng-10469	21	1	[	[	X
fumecheng-10469	21	2	20	20	NUM
fumecheng-10469	21	3	-	-	SYM
fumecheng-10469	21	4	24	24	NUM
fumecheng-10469	21	5	]	]	PUNCT
fumecheng-10469	21	6	,	,	PUNCT
fumecheng-10469	21	7	the	the	DET
fumecheng-10469	21	8	stress	stress	NOUN
fumecheng-10469	21	9	-	-	PUNCT
fumecheng-10469	21	10	driven	drive	VERB
fumecheng-10469	21	11	nonlocal	nonlocal	ADJ
fumecheng-10469	21	12	integral	integral	ADJ
fumecheng-10469	21	13	elasticity	elasticity	NOUN
fumecheng-10469	21	14	[	[	X
fumecheng-10469	21	15	25	25	NUM
fumecheng-10469	21	16	]	]	PUNCT
fumecheng-10469	21	17	and	and	CCONJ
fumecheng-10469	21	18	a	a	DET
fumecheng-10469	21	19	higher	high	ADJ
fumecheng-10469	21	20	-	-	PUNCT
fumecheng-10469	21	21	order	order	NOUN
fumecheng-10469	21	22	nonlocal	nonlocal	ADJ
fumecheng-10469	21	23	elasticity	elasticity	NOUN
fumecheng-10469	21	24	and	and	CCONJ
fumecheng-10469	21	25	strain	strain	VERB
fumecheng-10469	21	26	gradient	gradient	ADJ
fumecheng-10469	21	27	theory	theory	NOUN
fumecheng-10469	21	28	[	[	X
fumecheng-10469	21	29	26	26	NUM
fumecheng-10469	21	30	]	]	PUNCT
fumecheng-10469	21	31	.	.	PUNCT
fumecheng-10469	22	1	among	among	ADP
fumecheng-10469	22	2	these	these	PRON
fumecheng-10469	22	3	,	,	PUNCT
fumecheng-10469	22	4	the	the	DET
fumecheng-10469	22	5	straingradient	straingradient	NOUN
fumecheng-10469	22	6	-	-	PUNCT
fumecheng-10469	22	7	based	base	VERB
fumecheng-10469	22	8	ones	one	NOUN
fumecheng-10469	22	9	are	be	AUX
fumecheng-10469	22	10	established	establish	VERB
fumecheng-10469	22	11	on	on	ADP
fumecheng-10469	22	12	assumption	assumption	NOUN
fumecheng-10469	22	13	that	that	SCONJ
fumecheng-10469	22	14	ultra	ultra	ADJ
fumecheng-10469	22	15	-	-	ADJ
fumecheng-10469	22	16	small	small	ADJ
fumecheng-10469	22	17	structures	structure	NOUN
fumecheng-10469	22	18	’	'	PUNCT
fumecheng-10469	22	19	mechanical	mechanical	ADJ
fumecheng-10469	22	20	behavior	behavior	NOUN
fumecheng-10469	22	21	depends	depend	VERB
fumecheng-10469	22	22	on	on	ADP
fumecheng-10469	22	23	classical	classical	ADJ
fumecheng-10469	22	24	strains	strain	NOUN
fumecheng-10469	22	25	and	and	CCONJ
fumecheng-10469	22	26	higher	high	ADJ
fumecheng-10469	22	27	-	-	PUNCT
fumecheng-10469	22	28	order	order	NOUN
fumecheng-10469	22	29	gradient	gradient	NOUN
fumecheng-10469	22	30	of	of	ADP
fumecheng-10469	22	31	strains	strain	NOUN
fumecheng-10469	22	32	.	.	PUNCT
fumecheng-10469	23	1	on	on	ADP
fumecheng-10469	23	2	the	the	DET
fumecheng-10469	23	3	other	other	ADJ
fumecheng-10469	23	4	hand	hand	NOUN
fumecheng-10469	23	5	,	,	PUNCT
fumecheng-10469	23	6	the	the	DET
fumecheng-10469	23	7	stress	stress	NOUN
fumecheng-10469	23	8	-	-	PUNCT
fumecheng-10469	23	9	based	base	VERB
fumecheng-10469	23	10	theories	theory	NOUN
fumecheng-10469	23	11	indicate	indicate	VERB
fumecheng-10469	23	12	that	that	SCONJ
fumecheng-10469	23	13	the	the	DET
fumecheng-10469	23	14	key	key	ADJ
fumecheng-10469	23	15	role	role	NOUN
fumecheng-10469	23	16	in	in	ADP
fumecheng-10469	23	17	size	size	NOUN
fumecheng-10469	23	18	-	-	PUNCT
fumecheng-10469	23	19	dependent	dependent	ADJ
fumecheng-10469	23	20	characteristics	characteristic	NOUN
fumecheng-10469	23	21	has	have	VERB
fumecheng-10469	23	22	classical	classical	ADJ
fumecheng-10469	23	23	stresses	stress	NOUN
fumecheng-10469	23	24	and	and	CCONJ
fumecheng-10469	23	25	higher	high	ADJ
fumecheng-10469	23	26	-	-	PUNCT
fumecheng-10469	23	27	order	order	NOUN
fumecheng-10469	23	28	gradients	gradient	NOUN
fumecheng-10469	23	29	of	of	ADP
fumecheng-10469	23	30	stresses	stress	NOUN
fumecheng-10469	23	31	two	two	NUM
fumecheng-10469	23	32	entirely	entirely	ADV
fumecheng-10469	23	33	different	different	ADJ
fumecheng-10469	23	34	responses	response	NOUN
fumecheng-10469	23	35	,	,	PUNCT
fumecheng-10469	23	36	such	such	ADJ
fumecheng-10469	23	37	as	as	ADP
fumecheng-10469	23	38	stiffness	stiffness	NOUN
fumecheng-10469	23	39	softening	soften	VERB
fumecheng-10469	23	40	and	and	CCONJ
fumecheng-10469	23	41	hardening	harden	VERB
fumecheng-10469	23	42	effects	effect	NOUN
fumecheng-10469	23	43	,	,	PUNCT
fumecheng-10469	23	44	has	have	AUX
fumecheng-10469	23	45	been	be	AUX
fumecheng-10469	23	46	seen	see	VERB
fumecheng-10469	23	47	in	in	ADP
fumecheng-10469	23	48	nanostructures	nanostructure	NOUN
fumecheng-10469	23	49	mechanical	mechanical	ADJ
fumecheng-10469	23	50	behavior	behavior	NOUN
fumecheng-10469	23	51	[	[	X
fumecheng-10469	23	52	27	27	NUM
fumecheng-10469	23	53	]	]	PUNCT
fumecheng-10469	23	54	.	.	PUNCT
fumecheng-10469	24	1	therefore	therefore	ADV
fumecheng-10469	24	2	,	,	PUNCT
fumecheng-10469	24	3	it	it	PRON
fumecheng-10469	24	4	has	have	AUX
fumecheng-10469	24	5	become	become	VERB
fumecheng-10469	24	6	an	an	DET
fumecheng-10469	24	7	important	important	ADJ
fumecheng-10469	24	8	issue	issue	NOUN
fumecheng-10469	24	9	to	to	PART
fumecheng-10469	24	10	combine	combine	VERB
fumecheng-10469	24	11	both	both	DET
fumecheng-10469	24	12	phenomena	phenomenon	NOUN
fumecheng-10469	24	13	in	in	ADP
fumecheng-10469	24	14	one	one	NUM
fumecheng-10469	24	15	refined	refined	ADJ
fumecheng-10469	24	16	theory	theory	NOUN
fumecheng-10469	24	17	[	[	X
fumecheng-10469	24	18	26,28	26,28	NUM
fumecheng-10469	24	19	]	]	X
fumecheng-10469	24	20	.	.	PUNCT
fumecheng-10469	25	1	diverse	diverse	ADJ
fumecheng-10469	25	2	methods	method	NOUN
fumecheng-10469	25	3	and	and	CCONJ
fumecheng-10469	25	4	approaches	approach	NOUN
fumecheng-10469	25	5	were	be	AUX
fumecheng-10469	25	6	used	use	VERB
fumecheng-10469	25	7	in	in	ADP
fumecheng-10469	25	8	modelling	modelling	NOUN
fumecheng-10469	25	9	and	and	CCONJ
fumecheng-10469	25	10	analyzing	analyze	VERB
fumecheng-10469	25	11	nanostructures	nanostructure	NOUN
fumecheng-10469	25	12	[	[	X
fumecheng-10469	25	13	29	29	NUM
fumecheng-10469	25	14	-	-	SYM
fumecheng-10469	25	15	41	41	NUM
fumecheng-10469	25	16	]	]	PUNCT
fumecheng-10469	25	17	,	,	PUNCT
fumecheng-10469	25	18	nevertheless	nevertheless	ADV
fumecheng-10469	25	19	in	in	ADP
fumecheng-10469	25	20	the	the	DET
fumecheng-10469	25	21	current	current	ADJ
fumecheng-10469	25	22	literature	literature	NOUN
fumecheng-10469	25	23	survey	survey	NOUN
fumecheng-10469	25	24	is	be	AUX
fumecheng-10469	25	25	focused	focus	VERB
fumecheng-10469	25	26	on	on	ADP
fumecheng-10469	25	27	dynamics	dynamic	NOUN
fumecheng-10469	25	28	of	of	ADP
fumecheng-10469	25	29	beam	beam	NOUN
fumecheng-10469	25	30	-	-	PUNCT
fumecheng-10469	25	31	like	like	ADJ
fumecheng-10469	25	32	nanostructures	nanostructure	NOUN
fumecheng-10469	25	33	.	.	PUNCT
fumecheng-10469	26	1	wang	wang	PROPN
fumecheng-10469	26	2	and	and	CCONJ
fumecheng-10469	26	3	varadan	varadan	PROPN
fumecheng-10469	26	4	[	[	X
fumecheng-10469	26	5	42	42	NUM
fumecheng-10469	26	6	]	]	PUNCT
fumecheng-10469	26	7	presented	present	VERB
fumecheng-10469	26	8	effect	effect	NOUN
fumecheng-10469	26	9	of	of	ADP
fumecheng-10469	26	10	eringen	eringen	PROPN
fumecheng-10469	26	11	’s	’s	PART
fumecheng-10469	26	12	nonlocal	nonlocal	ADJ
fumecheng-10469	26	13	parameter	parameter	NOUN
fumecheng-10469	26	14	on	on	ADP
fumecheng-10469	26	15	frequency	frequency	NOUN
fumecheng-10469	26	16	of	of	ADP
fumecheng-10469	26	17	both	both	CCONJ
fumecheng-10469	26	18	single	single	ADJ
fumecheng-10469	26	19	-	-	PUNCT
fumecheng-10469	26	20	walled	wall	VERB
fumecheng-10469	26	21	and	and	CCONJ
fumecheng-10469	26	22	double	double	ADJ
fumecheng-10469	26	23	-	-	PUNCT
fumecheng-10469	26	24	walled	wall	VERB
fumecheng-10469	26	25	carbon	carbon	NOUN
fumecheng-10469	26	26	nanotubes	nanotube	NOUN
fumecheng-10469	26	27	based	base	VERB
fumecheng-10469	26	28	on	on	ADP
fumecheng-10469	26	29	eulerbernoulli	eulerbernoulli	PROPN
fumecheng-10469	26	30	beam	beam	PROPN
fumecheng-10469	26	31	theory	theory	PROPN
fumecheng-10469	26	32	.	.	PUNCT
fumecheng-10469	27	1	reddy	reddy	PROPN
fumecheng-10469	28	1	[	[	X
fumecheng-10469	28	2	43	43	NUM
fumecheng-10469	28	3	]	]	PUNCT
fumecheng-10469	28	4	compared	compare	VERB
fumecheng-10469	28	5	results	result	NOUN
fumecheng-10469	28	6	obtained	obtain	VERB
fumecheng-10469	28	7	for	for	ADP
fumecheng-10469	28	8	diverse	diverse	ADJ
fumecheng-10469	28	9	beam	beam	NOUN
fumecheng-10469	28	10	models	model	NOUN
fumecheng-10469	28	11	for	for	ADP
fumecheng-10469	28	12	bending	bend	VERB
fumecheng-10469	28	13	,	,	PUNCT
fumecheng-10469	28	14	buckling	buckle	VERB
fumecheng-10469	28	15	and	and	CCONJ
fumecheng-10469	28	16	free	free	ADJ
fumecheng-10469	28	17	vibration	vibration	NOUN
fumecheng-10469	28	18	of	of	ADP
fumecheng-10469	28	19	simply	simply	ADV
fumecheng-10469	28	20	supported	support	VERB
fumecheng-10469	28	21	nanobeams	nanobeam	NOUN
fumecheng-10469	28	22	considering	consider	VERB
fumecheng-10469	28	23	nonlocal	nonlocal	ADJ
fumecheng-10469	28	24	elasticity	elasticity	NOUN
fumecheng-10469	28	25	of	of	ADP
fumecheng-10469	28	26	eringen	eringen	PROPN
fumecheng-10469	28	27	.	.	PUNCT
fumecheng-10469	29	1	wang	wang	PROPN
fumecheng-10469	29	2	et	et	PROPN
fumecheng-10469	29	3	al	al	PROPN
fumecheng-10469	29	4	.	.	PUNCT
fumecheng-10469	30	1	[	[	X
fumecheng-10469	30	2	44	44	NUM
fumecheng-10469	30	3	]	]	PUNCT
fumecheng-10469	30	4	studied	study	VERB
fumecheng-10469	30	5	influence	influence	NOUN
fumecheng-10469	30	6	of	of	ADP
fumecheng-10469	30	7	small	small	ADJ
fumecheng-10469	30	8	-	-	PUNCT
fumecheng-10469	30	9	scale	scale	NOUN
fumecheng-10469	30	10	parameter	parameter	NOUN
fumecheng-10469	30	11	from	from	ADP
fumecheng-10469	30	12	eringen	eringen	PROPN
fumecheng-10469	30	13	’s	’s	PART
fumecheng-10469	30	14	nonlocal	nonlocal	ADJ
fumecheng-10469	30	15	theory	theory	NOUN
fumecheng-10469	30	16	and	and	CCONJ
fumecheng-10469	30	17	diverse	diverse	ADJ
fumecheng-10469	30	18	length	length	NOUN
fumecheng-10469	30	19	to	to	ADP
fumecheng-10469	30	20	diameter	diameter	NOUN
fumecheng-10469	30	21	ratio	ratio	NOUN
fumecheng-10469	30	22	on	on	ADP
fumecheng-10469	30	23	vibrations	vibration	NOUN
fumecheng-10469	30	24	of	of	ADP
fumecheng-10469	30	25	singlewalled	singlewalle	VERB
fumecheng-10469	30	26	nanotubes	nanotube	NOUN
fumecheng-10469	30	27	modelled	model	VERB
fumecheng-10469	30	28	by	by	ADP
fumecheng-10469	30	29	timoshenko	timoshenko	ADJ
fumecheng-10469	30	30	beam	beam	NOUN
fumecheng-10469	30	31	theory	theory	NOUN
fumecheng-10469	30	32	with	with	ADP
fumecheng-10469	30	33	diverse	diverse	ADJ
fumecheng-10469	30	34	boundary	boundary	ADJ
fumecheng-10469	30	35	conditions	condition	NOUN
fumecheng-10469	30	36	(	(	PUNCT
fumecheng-10469	30	37	bcs	bcs	NOUN
fumecheng-10469	30	38	)	)	PUNCT
fumecheng-10469	30	39	.	.	PUNCT
fumecheng-10469	31	1	aydogdu	aydogdu	PROPN
fumecheng-10469	32	1	[	[	X
fumecheng-10469	32	2	45	45	NUM
fumecheng-10469	32	3	]	]	PUNCT
fumecheng-10469	32	4	used	use	VERB
fumecheng-10469	32	5	eringen	eringen	PROPN
fumecheng-10469	32	6	’s	’s	PART
fumecheng-10469	32	7	nonlocal	nonlocal	ADJ
fumecheng-10469	32	8	elasticity	elasticity	NOUN
fumecheng-10469	32	9	to	to	PART
fumecheng-10469	32	10	study	study	VERB
fumecheng-10469	32	11	axial	axial	ADJ
fumecheng-10469	32	12	vibration	vibration	NOUN
fumecheng-10469	32	13	of	of	ADP
fumecheng-10469	32	14	nanorods	nanorod	NOUN
fumecheng-10469	32	15	with	with	ADP
fumecheng-10469	32	16	clamped	clamp	VERB
fumecheng-10469	32	17	-	-	PUNCT
fumecheng-10469	32	18	clamped	clamp	VERB
fumecheng-10469	32	19	and	and	CCONJ
fumecheng-10469	32	20	clamped	clamp	VERB
fumecheng-10469	32	21	-	-	PUNCT
fumecheng-10469	32	22	free	free	ADJ
fumecheng-10469	32	23	bcs	bc	NOUN
fumecheng-10469	32	24	based	base	VERB
fumecheng-10469	32	25	on	on	ADP
fumecheng-10469	32	26	euler	euler	NOUN
fumecheng-10469	32	27	-	-	PUNCT
fumecheng-10469	32	28	bernoulli	bernoulli	PROPN
fumecheng-10469	32	29	model	model	NOUN
fumecheng-10469	32	30	assumptions	assumption	NOUN
fumecheng-10469	32	31	.	.	PUNCT
fumecheng-10469	33	1	roque	roque	PROPN
fumecheng-10469	33	2	et	et	PROPN
fumecheng-10469	33	3	al	al	PROPN
fumecheng-10469	33	4	.	.	PUNCT
fumecheng-10469	34	1	[	[	X
fumecheng-10469	34	2	46	46	NUM
fumecheng-10469	34	3	]	]	PUNCT
fumecheng-10469	34	4	employed	employ	VERB
fumecheng-10469	34	5	rbf	rbf	PROPN
fumecheng-10469	34	6	meshless	meshless	PROPN
fumecheng-10469	34	7	numerical	numerical	ADJ
fumecheng-10469	34	8	formulation	formulation	NOUN
fumecheng-10469	34	9	to	to	PART
fumecheng-10469	34	10	study	study	VERB
fumecheng-10469	34	11	bending	bending	NOUN
fumecheng-10469	34	12	,	,	PUNCT
fumecheng-10469	34	13	buckling	buckling	NOUN
fumecheng-10469	34	14	,	,	PUNCT
fumecheng-10469	34	15	and	and	CCONJ
fumecheng-10469	34	16	free	free	ADJ
fumecheng-10469	34	17	vibration	vibration	NOUN
fumecheng-10469	34	18	of	of	ADP
fumecheng-10469	34	19	timoshenko	timoshenko	NOUN
fumecheng-10469	34	20	nanobeams	nanobeam	NOUN
fumecheng-10469	34	21	using	use	VERB
fumecheng-10469	34	22	nonlocal	nonlocal	ADJ
fumecheng-10469	34	23	elasticity	elasticity	NOUN
fumecheng-10469	34	24	theory	theory	NOUN
fumecheng-10469	34	25	.	.	PUNCT
fumecheng-10469	35	1	li	li	PROPN
fumecheng-10469	35	2	et	et	PROPN
fumecheng-10469	35	3	al	al	PROPN
fumecheng-10469	35	4	.	.	PUNCT
fumecheng-10469	36	1	[	[	X
fumecheng-10469	36	2	47	47	NUM
fumecheng-10469	36	3	]	]	PUNCT
fumecheng-10469	36	4	conducted	conduct	VERB
fumecheng-10469	36	5	a	a	DET
fumecheng-10469	36	6	study	study	NOUN
fumecheng-10469	36	7	on	on	ADP
fumecheng-10469	36	8	transverse	transverse	ADJ
fumecheng-10469	36	9	vibrations	vibration	NOUN
fumecheng-10469	36	10	of	of	ADP
fumecheng-10469	36	11	simply	simply	ADV
fumecheng-10469	36	12	supported	support	VERB
fumecheng-10469	36	13	euler	euler	NOUN
fumecheng-10469	36	14	-	-	PUNCT
fumecheng-10469	36	15	bernoulli	bernoulli	PROPN
fumecheng-10469	36	16	nanobeam	nanobeam	NOUN
fumecheng-10469	36	17	under	under	ADP
fumecheng-10469	36	18	axial	axial	ADJ
fumecheng-10469	36	19	mechanical	mechanical	ADJ
fumecheng-10469	36	20	load	load	NOUN
fumecheng-10469	36	21	.	.	PUNCT
fumecheng-10469	37	1	thai	thai	PROPN
fumecheng-10469	38	1	[	[	X
fumecheng-10469	38	2	48	48	NUM
fumecheng-10469	38	3	]	]	PUNCT
fumecheng-10469	38	4	,	,	PUNCT
fumecheng-10469	38	5	and	and	CCONJ
fumecheng-10469	38	6	then	then	ADV
fumecheng-10469	38	7	thai	thai	PROPN
fumecheng-10469	38	8	and	and	CCONJ
fumecheng-10469	38	9	vo	vo	NOUN
fumecheng-10469	38	10	[	[	X
fumecheng-10469	38	11	49	49	NUM
fumecheng-10469	38	12	]	]	PUNCT
fumecheng-10469	38	13	presented	present	VERB
fumecheng-10469	38	14	a	a	DET
fumecheng-10469	38	15	closed	close	VERB
fumecheng-10469	38	16	-	-	PUNCT
fumecheng-10469	38	17	form	form	NOUN
fumecheng-10469	38	18	solution	solution	NOUN
fumecheng-10469	38	19	for	for	ADP
fumecheng-10469	38	20	deflection	deflection	NOUN
fumecheng-10469	38	21	,	,	PUNCT
fumecheng-10469	38	22	buckling	buckling	NOUN
fumecheng-10469	38	23	,	,	PUNCT
fumecheng-10469	38	24	and	and	CCONJ
fumecheng-10469	38	25	vibration	vibration	NOUN
fumecheng-10469	38	26	of	of	ADP
fumecheng-10469	38	27	eringen	eringen	PROPN
fumecheng-10469	38	28	’s	’s	PART
fumecheng-10469	38	29	nanobeam	nanobeam	NOUN
fumecheng-10469	38	30	under	under	ADP
fumecheng-10469	38	31	transverse	transverse	NOUN
fumecheng-10469	38	32	loads	load	NOUN
fumecheng-10469	38	33	modelled	model	VERB
fumecheng-10469	38	34	by	by	ADP
fumecheng-10469	38	35	diverse	diverse	ADJ
fumecheng-10469	38	36	refined	refined	ADJ
fumecheng-10469	38	37	beam	beam	NOUN
fumecheng-10469	38	38	theories	theory	NOUN
fumecheng-10469	38	39	.	.	PUNCT
fumecheng-10469	39	1	ke	ke	NOUN
fumecheng-10469	39	2	et	et	PROPN
fumecheng-10469	39	3	al	al	PROPN
fumecheng-10469	39	4	.	.	PUNCT
fumecheng-10469	40	1	[	[	X
fumecheng-10469	40	2	50	50	NUM
fumecheng-10469	40	3	]	]	PUNCT
fumecheng-10469	40	4	investigated	investigate	VERB
fumecheng-10469	40	5	piezoelectric	piezoelectric	ADJ
fumecheng-10469	40	6	effect	effect	NOUN
fumecheng-10469	40	7	on	on	ADP
fumecheng-10469	40	8	nonlinear	nonlinear	ADJ
fumecheng-10469	40	9	vibration	vibration	NOUN
fumecheng-10469	40	10	of	of	ADP
fumecheng-10469	40	11	timoshenko	timoshenko	ADJ
fumecheng-10469	40	12	nanobeam	nanobeam	NOUN
fumecheng-10469	40	13	with	with	ADP
fumecheng-10469	40	14	various	various	ADJ
fumecheng-10469	40	15	bcs	bc	NOUN
fumecheng-10469	40	16	using	use	VERB
fumecheng-10469	40	17	the	the	DET
fumecheng-10469	40	18	differential	differential	ADJ
fumecheng-10469	40	19	quadrature	quadrature	NOUN
fumecheng-10469	40	20	method	method	NOUN
fumecheng-10469	40	21	(	(	PUNCT
fumecheng-10469	40	22	dqm	dqm	NOUN
fumecheng-10469	40	23	)	)	PUNCT
fumecheng-10469	40	24	.	.	PUNCT
fumecheng-10469	41	1	eltaher	eltaher	VERB
fumecheng-10469	41	2	et	et	PROPN
fumecheng-10469	41	3	al	al	PROPN
fumecheng-10469	41	4	.	.	PUNCT
fumecheng-10469	42	1	[	[	X
fumecheng-10469	42	2	51	51	NUM
fumecheng-10469	42	3	]	]	PUNCT
fumecheng-10469	42	4	used	use	VERB
fumecheng-10469	42	5	eulerbernoulli	eulerbernoulli	NOUN
fumecheng-10469	42	6	beam	beam	NOUN
fumecheng-10469	42	7	assumptions	assumption	NOUN
fumecheng-10469	42	8	and	and	CCONJ
fumecheng-10469	42	9	a	a	DET
fumecheng-10469	42	10	finite	finite	ADJ
fumecheng-10469	42	11	element	element	NOUN
fumecheng-10469	42	12	formulation	formulation	NOUN
fumecheng-10469	42	13	to	to	PART
fumecheng-10469	42	14	study	study	VERB
fumecheng-10469	42	15	eigenfrequencies	eigenfrequencie	NOUN
fumecheng-10469	42	16	of	of	ADP
fumecheng-10469	42	17	functionally	functionally	ADV
fumecheng-10469	42	18	graded	grade	VERB
fumecheng-10469	42	19	(	(	PUNCT
fumecheng-10469	42	20	fg	fg	NOUN
fumecheng-10469	42	21	)	)	PUNCT
fumecheng-10469	42	22	nanobeam	nanobeam	NOUN
fumecheng-10469	42	23	based	base	VERB
fumecheng-10469	42	24	on	on	ADP
fumecheng-10469	42	25	eringen	eringen	PROPN
fumecheng-10469	42	26	’s	’s	PART
fumecheng-10469	42	27	nonlocal	nonlocal	ADJ
fumecheng-10469	42	28	theory	theory	NOUN
fumecheng-10469	42	29	.	.	PUNCT
fumecheng-10469	43	1	berrabah	berrabah	PROPN
fumecheng-10469	43	2	et	et	PROPN
fumecheng-10469	43	3	al	al	PROPN
fumecheng-10469	43	4	.	.	PUNCT
fumecheng-10469	44	1	[	[	X
fumecheng-10469	44	2	52	52	NUM
fumecheng-10469	44	3	]	]	PUNCT
fumecheng-10469	44	4	analytically	analytically	ADV
fumecheng-10469	44	5	solved	solve	VERB
fumecheng-10469	44	6	bending	bending	NOUN
fumecheng-10469	44	7	,	,	PUNCT
fumecheng-10469	44	8	buckling	buckling	NOUN
fumecheng-10469	44	9	and	and	CCONJ
fumecheng-10469	44	10	vibration	vibration	NOUN
fumecheng-10469	44	11	problems	problem	NOUN
fumecheng-10469	44	12	of	of	ADP
fumecheng-10469	44	13	eringen	eringen	PROPN
fumecheng-10469	44	14	’s	’s	PART
fumecheng-10469	44	15	nanobeam	nanobeam	NOUN
fumecheng-10469	44	16	modelled	model	VERB
fumecheng-10469	44	17	via	via	ADP
fumecheng-10469	44	18	various	various	ADJ
fumecheng-10469	44	19	theories	theory	NOUN
fumecheng-10469	44	20	.	.	PUNCT
fumecheng-10469	45	1	şimşek	şimşek	NOUN
fumecheng-10469	46	1	[	[	X
fumecheng-10469	46	2	53	53	NUM
fumecheng-10469	46	3	]	]	PUNCT
fumecheng-10469	46	4	compared	compare	VERB
fumecheng-10469	46	5	nonlinear	nonlinear	NOUN
fumecheng-10469	46	6	to	to	ADP
fumecheng-10469	46	7	linear	linear	ADJ
fumecheng-10469	46	8	detection	detection	NOUN
fumecheng-10469	46	9	of	of	ADP
fumecheng-10469	46	10	nonlocal	nonlocal	ADJ
fumecheng-10469	46	11	calibration	calibration	NOUN
fumecheng-10469	46	12	parameters	parameter	NOUN
fumecheng-10469	46	13	and	and	CCONJ
fumecheng-10469	46	14	range	range	NOUN
fumecheng-10469	46	15	interaction	interaction	NOUN
fumecheng-10469	46	16	for	for	ADP
fumecheng-10469	46	17	dynamics	dynamic	NOUN
fumecheng-10469	46	18	of	of	ADP
fumecheng-10469	46	19	fgm	fgm	PROPN
fumecheng-10469	46	20	porous	porous	ADJ
fumecheng-10469	46	21	…	…	PUNCT
fumecheng-10469	46	22	459	459	NUM
fumecheng-10469	46	23	frequencies	frequency	NOUN
fumecheng-10469	46	24	obtained	obtain	VERB
fumecheng-10469	46	25	for	for	ADP
fumecheng-10469	46	26	euler	euler	NOUN
fumecheng-10469	46	27	-	-	PUNCT
fumecheng-10469	46	28	bernoulli	bernoulli	NOUN
fumecheng-10469	46	29	nanobeam	nanobeam	NOUN
fumecheng-10469	46	30	with	with	ADP
fumecheng-10469	46	31	various	various	ADJ
fumecheng-10469	46	32	boundary	boundary	ADJ
fumecheng-10469	46	33	conditions	condition	NOUN
fumecheng-10469	46	34	based	base	VERB
fumecheng-10469	46	35	on	on	ADP
fumecheng-10469	46	36	a	a	DET
fumecheng-10469	46	37	nonlocal	nonlocal	ADJ
fumecheng-10469	46	38	elasticity	elasticity	NOUN
fumecheng-10469	46	39	.	.	PUNCT
fumecheng-10469	47	1	rahmani	rahmani	PROPN
fumecheng-10469	47	2	and	and	CCONJ
fumecheng-10469	47	3	pedram	pedram	NOUN
fumecheng-10469	48	1	[	[	X
fumecheng-10469	48	2	54	54	NUM
fumecheng-10469	48	3	]	]	PUNCT
fumecheng-10469	48	4	presented	present	VERB
fumecheng-10469	48	5	analytical	analytical	ADJ
fumecheng-10469	48	6	solution	solution	NOUN
fumecheng-10469	48	7	for	for	ADP
fumecheng-10469	48	8	natural	natural	ADJ
fumecheng-10469	48	9	frequencies	frequency	NOUN
fumecheng-10469	48	10	of	of	ADP
fumecheng-10469	48	11	functionally	functionally	ADV
fumecheng-10469	48	12	graded	grade	VERB
fumecheng-10469	48	13	nanobeam	nanobeam	NOUN
fumecheng-10469	48	14	according	accord	VERB
fumecheng-10469	48	15	to	to	ADP
fumecheng-10469	48	16	timoshenko	timoshenko	NOUN
fumecheng-10469	48	17	beam	beam	NOUN
fumecheng-10469	48	18	and	and	CCONJ
fumecheng-10469	48	19	eringen	eringen	PROPN
fumecheng-10469	48	20	’s	’s	PART
fumecheng-10469	48	21	nonlocal	nonlocal	ADJ
fumecheng-10469	48	22	theories	theory	NOUN
fumecheng-10469	48	23	.	.	PUNCT
fumecheng-10469	49	1	nejad	nejad	PROPN
fumecheng-10469	49	2	and	and	CCONJ
fumecheng-10469	49	3	hadi	hadi	PROPN
fumecheng-10469	49	4	[	[	X
fumecheng-10469	49	5	55	55	NUM
fumecheng-10469	49	6	]	]	PUNCT
fumecheng-10469	49	7	analyzed	analyze	VERB
fumecheng-10469	49	8	impact	impact	NOUN
fumecheng-10469	49	9	of	of	ADP
fumecheng-10469	49	10	bi	bi	ADJ
fumecheng-10469	49	11	-	-	ADJ
fumecheng-10469	49	12	directional	directional	ADJ
fumecheng-10469	49	13	functionally	functionally	ADV
fumecheng-10469	49	14	graded	grade	VERB
fumecheng-10469	49	15	material	material	NOUN
fumecheng-10469	49	16	properties	property	NOUN
fumecheng-10469	49	17	on	on	ADP
fumecheng-10469	49	18	eringen	eringen	PROPN
fumecheng-10469	49	19	’s	’s	PART
fumecheng-10469	49	20	nanobeam	nanobeam	ADJ
fumecheng-10469	49	21	vibrational	vibrational	ADJ
fumecheng-10469	49	22	response	response	NOUN
fumecheng-10469	49	23	using	use	VERB
fumecheng-10469	49	24	the	the	DET
fumecheng-10469	49	25	generalized	generalized	ADJ
fumecheng-10469	49	26	differential	differential	ADJ
fumecheng-10469	49	27	quadrature	quadrature	NOUN
fumecheng-10469	49	28	method	method	NOUN
fumecheng-10469	49	29	(	(	PUNCT
fumecheng-10469	49	30	gdqm	gdqm	NOUN
fumecheng-10469	49	31	)	)	PUNCT
fumecheng-10469	49	32	.	.	PUNCT
fumecheng-10469	50	1	beni	beni	PROPN
fumecheng-10469	51	1	[	[	X
fumecheng-10469	51	2	56	56	NUM
fumecheng-10469	51	3	]	]	PUNCT
fumecheng-10469	51	4	discussed	discuss	VERB
fumecheng-10469	51	5	impact	impact	NOUN
fumecheng-10469	51	6	of	of	ADP
fumecheng-10469	51	7	piezoelectric	piezoelectric	ADJ
fumecheng-10469	51	8	phenomenon	phenomenon	NOUN
fumecheng-10469	51	9	on	on	ADP
fumecheng-10469	51	10	nonlinear	nonlinear	ADJ
fumecheng-10469	51	11	vibration	vibration	NOUN
fumecheng-10469	51	12	and	and	CCONJ
fumecheng-10469	51	13	bending	bend	VERB
fumecheng-10469	51	14	characteristics	characteristic	NOUN
fumecheng-10469	51	15	of	of	ADP
fumecheng-10469	51	16	eulerbernoulli	eulerbernoulli	NOUN
fumecheng-10469	51	17	nanobeam	nanobeam	NOUN
fumecheng-10469	51	18	using	use	VERB
fumecheng-10469	51	19	the	the	DET
fumecheng-10469	51	20	couple	couple	NOUN
fumecheng-10469	51	21	stress	stress	NOUN
fumecheng-10469	51	22	theory	theory	NOUN
fumecheng-10469	51	23	.	.	PUNCT
fumecheng-10469	52	1	arefi	arefi	PROPN
fumecheng-10469	52	2	and	and	CCONJ
fumecheng-10469	52	3	zenkour	zenkour	PRON
fumecheng-10469	53	1	[	[	X
fumecheng-10469	53	2	57	57	NUM
fumecheng-10469	53	3	]	]	PUNCT
fumecheng-10469	53	4	discussed	discuss	VERB
fumecheng-10469	53	5	effect	effect	NOUN
fumecheng-10469	53	6	of	of	ADP
fumecheng-10469	53	7	electric	electric	ADJ
fumecheng-10469	53	8	field	field	NOUN
fumecheng-10469	53	9	on	on	ADP
fumecheng-10469	53	10	vibration	vibration	NOUN
fumecheng-10469	53	11	and	and	CCONJ
fumecheng-10469	53	12	bending	bending	NOUN
fumecheng-10469	53	13	of	of	ADP
fumecheng-10469	53	14	nanobeam	nanobeam	NOUN
fumecheng-10469	53	15	with	with	ADP
fumecheng-10469	53	16	piezomagnetic	piezomagnetic	ADJ
fumecheng-10469	53	17	layers	layer	NOUN
fumecheng-10469	53	18	resting	rest	VERB
fumecheng-10469	53	19	on	on	ADP
fumecheng-10469	53	20	winkler	winkler	NOUN
fumecheng-10469	53	21	-	-	PUNCT
fumecheng-10469	53	22	pasternak	pasternak	PROPN
fumecheng-10469	53	23	foundation	foundation	NOUN
fumecheng-10469	53	24	based	base	VERB
fumecheng-10469	53	25	on	on	ADP
fumecheng-10469	53	26	timoshenko	timoshenko	ADJ
fumecheng-10469	53	27	beam	beam	NOUN
fumecheng-10469	53	28	model	model	NOUN
fumecheng-10469	53	29	assumptions	assumption	NOUN
fumecheng-10469	53	30	and	and	CCONJ
fumecheng-10469	53	31	eringen	eringen	PROPN
fumecheng-10469	53	32	’s	’s	PART
fumecheng-10469	53	33	nonlocal	nonlocal	ADJ
fumecheng-10469	53	34	elasticity	elasticity	NOUN
fumecheng-10469	53	35	.	.	PUNCT
fumecheng-10469	54	1	lu	lu	PROPN
fumecheng-10469	54	2	et	et	PROPN
fumecheng-10469	54	3	al	al	PROPN
fumecheng-10469	54	4	.	.	PUNCT
fumecheng-10469	55	1	[	[	X
fumecheng-10469	55	2	58	58	NUM
fumecheng-10469	55	3	]	]	PUNCT
fumecheng-10469	55	4	used	use	VERB
fumecheng-10469	55	5	the	the	DET
fumecheng-10469	55	6	nonlocal	nonlocal	ADJ
fumecheng-10469	55	7	strain	strain	NOUN
fumecheng-10469	55	8	gradient	gradient	NOUN
fumecheng-10469	55	9	theory	theory	NOUN
fumecheng-10469	55	10	to	to	PART
fumecheng-10469	55	11	perform	perform	VERB
fumecheng-10469	55	12	analysis	analysis	NOUN
fumecheng-10469	55	13	of	of	ADP
fumecheng-10469	55	14	nanobeams	nanobeam	NOUN
fumecheng-10469	55	15	free	free	ADJ
fumecheng-10469	55	16	vibration	vibration	NOUN
fumecheng-10469	55	17	based	base	VERB
fumecheng-10469	55	18	on	on	ADP
fumecheng-10469	55	19	the	the	DET
fumecheng-10469	55	20	sinusoidal	sinusoidal	ADJ
fumecheng-10469	55	21	shear	shear	NOUN
fumecheng-10469	55	22	deformation	deformation	NOUN
fumecheng-10469	55	23	theory	theory	NOUN
fumecheng-10469	55	24	.	.	PUNCT
fumecheng-10469	56	1	liu	liu	PROPN
fumecheng-10469	56	2	et	et	PROPN
fumecheng-10469	56	3	al	al	PROPN
fumecheng-10469	56	4	.	.	PUNCT
fumecheng-10469	57	1	[	[	X
fumecheng-10469	57	2	59	59	NUM
fumecheng-10469	57	3	]	]	PUNCT
fumecheng-10469	57	4	examined	examine	VERB
fumecheng-10469	57	5	vibration	vibration	NOUN
fumecheng-10469	57	6	response	response	NOUN
fumecheng-10469	57	7	of	of	ADP
fumecheng-10469	57	8	visco	visco	ADJ
fumecheng-10469	57	9	-	-	ADJ
fumecheng-10469	57	10	elastic	elastic	ADJ
fumecheng-10469	57	11	functionally	functionally	ADV
fumecheng-10469	57	12	graded	grade	VERB
fumecheng-10469	57	13	porous	porous	ADJ
fumecheng-10469	57	14	timoshenko	timoshenko	ADJ
fumecheng-10469	57	15	nanobeam	nanobeam	NOUN
fumecheng-10469	57	16	with	with	ADP
fumecheng-10469	57	17	magneto	magneto	NOUN
fumecheng-10469	57	18	-	-	PUNCT
fumecheng-10469	57	19	electro	electro	ADJ
fumecheng-10469	57	20	-	-	PUNCT
fumecheng-10469	57	21	elastic	elastic	ADJ
fumecheng-10469	57	22	coupling	coupling	NOUN
fumecheng-10469	57	23	effect	effect	NOUN
fumecheng-10469	57	24	for	for	ADP
fumecheng-10469	57	25	different	different	ADJ
fumecheng-10469	57	26	boundary	boundary	ADJ
fumecheng-10469	57	27	conditions	condition	NOUN
fumecheng-10469	57	28	.	.	PUNCT
fumecheng-10469	58	1	thai	thai	PROPN
fumecheng-10469	58	2	et	et	PROPN
fumecheng-10469	58	3	al	al	PROPN
fumecheng-10469	58	4	.	.	PUNCT
fumecheng-10469	59	1	[	[	X
fumecheng-10469	59	2	60	60	NUM
fumecheng-10469	59	3	]	]	PUNCT
fumecheng-10469	59	4	analytically	analytically	ADV
fumecheng-10469	59	5	solved	solve	VERB
fumecheng-10469	59	6	deflection	deflection	NOUN
fumecheng-10469	59	7	and	and	CCONJ
fumecheng-10469	59	8	vibration	vibration	NOUN
fumecheng-10469	59	9	problems	problem	NOUN
fumecheng-10469	59	10	of	of	ADP
fumecheng-10469	59	11	eringen	eringen	PROPN
fumecheng-10469	59	12	’s	’s	PART
fumecheng-10469	59	13	nanobeams	nanobeam	NOUN
fumecheng-10469	59	14	subjected	subject	VERB
fumecheng-10469	59	15	to	to	ADP
fumecheng-10469	59	16	uniformly	uniformly	ADV
fumecheng-10469	59	17	distributed	distribute	VERB
fumecheng-10469	59	18	load	load	NOUN
fumecheng-10469	59	19	.	.	PUNCT
fumecheng-10469	60	1	karami	karami	PROPN
fumecheng-10469	60	2	and	and	CCONJ
fumecheng-10469	60	3	janghorban	janghorban	VERB
fumecheng-10469	61	1	[	[	X
fumecheng-10469	61	2	61	61	NUM
fumecheng-10469	61	3	]	]	PUNCT
fumecheng-10469	61	4	proposed	propose	VERB
fumecheng-10469	61	5	novel	novel	NOUN
fumecheng-10469	61	6	higher	high	ADJ
fumecheng-10469	61	7	-	-	PUNCT
fumecheng-10469	61	8	order	order	NOUN
fumecheng-10469	61	9	shear	shear	NOUN
fumecheng-10469	61	10	deformation	deformation	NOUN
fumecheng-10469	61	11	beam	beam	NOUN
fumecheng-10469	61	12	theory	theory	NOUN
fumecheng-10469	61	13	and	and	CCONJ
fumecheng-10469	61	14	studied	study	VERB
fumecheng-10469	61	15	natural	natural	ADJ
fumecheng-10469	61	16	vibration	vibration	NOUN
fumecheng-10469	61	17	of	of	ADP
fumecheng-10469	61	18	functionally	functionally	ADV
fumecheng-10469	61	19	graded	grade	VERB
fumecheng-10469	61	20	nanobeam	nanobeam	NOUN
fumecheng-10469	61	21	using	use	VERB
fumecheng-10469	61	22	nonlocal	nonlocal	ADJ
fumecheng-10469	61	23	strain	strain	NOUN
fumecheng-10469	61	24	gradient	gradient	NOUN
fumecheng-10469	61	25	theory	theory	NOUN
fumecheng-10469	61	26	.	.	PUNCT
fumecheng-10469	62	1	liu	liu	PROPN
fumecheng-10469	62	2	et	et	PROPN
fumecheng-10469	62	3	al	al	PROPN
fumecheng-10469	62	4	.	.	PUNCT
fumecheng-10469	63	1	[	[	X
fumecheng-10469	63	2	62	62	NUM
fumecheng-10469	63	3	]	]	PUNCT
fumecheng-10469	63	4	utilized	utilize	VERB
fumecheng-10469	63	5	galerkin	galerkin	ADJ
fumecheng-10469	63	6	approach	approach	NOUN
fumecheng-10469	63	7	to	to	PART
fumecheng-10469	63	8	study	study	VERB
fumecheng-10469	63	9	nonlinear	nonlinear	ADJ
fumecheng-10469	63	10	vibration	vibration	NOUN
fumecheng-10469	63	11	of	of	ADP
fumecheng-10469	63	12	functionally	functionally	ADV
fumecheng-10469	63	13	graded	grade	VERB
fumecheng-10469	63	14	sandwich	sandwich	NOUN
fumecheng-10469	63	15	nanobeam	nanobeam	NOUN
fumecheng-10469	63	16	with	with	ADP
fumecheng-10469	63	17	diverse	diverse	ADJ
fumecheng-10469	63	18	boundary	boundary	ADJ
fumecheng-10469	63	19	conditions	condition	NOUN
fumecheng-10469	63	20	based	base	VERB
fumecheng-10469	63	21	on	on	ADP
fumecheng-10469	63	22	the	the	DET
fumecheng-10469	63	23	nonlocal	nonlocal	ADJ
fumecheng-10469	63	24	strain	strain	NOUN
fumecheng-10469	63	25	gradient	gradient	NOUN
fumecheng-10469	63	26	theory	theory	NOUN
fumecheng-10469	63	27	and	and	CCONJ
fumecheng-10469	63	28	euler	euler	NOUN
fumecheng-10469	63	29	-	-	PUNCT
fumecheng-10469	63	30	bernoulli	bernoulli	PROPN
fumecheng-10469	63	31	model	model	NOUN
fumecheng-10469	63	32	.	.	PUNCT
fumecheng-10469	64	1	jankowski	jankowski	PROPN
fumecheng-10469	64	2	et	et	PROPN
fumecheng-10469	64	3	al	al	PROPN
fumecheng-10469	64	4	.	.	PUNCT
fumecheng-10469	65	1	[	[	X
fumecheng-10469	65	2	63,64	63,64	X
fumecheng-10469	65	3	]	]	PUNCT
fumecheng-10469	65	4	presented	present	VERB
fumecheng-10469	65	5	analytical	analytical	ADJ
fumecheng-10469	65	6	and	and	CCONJ
fumecheng-10469	65	7	numerical	numerical	ADJ
fumecheng-10469	65	8	approaches	approach	NOUN
fumecheng-10469	65	9	to	to	PART
fumecheng-10469	65	10	study	study	VERB
fumecheng-10469	65	11	vibrational	vibrational	ADJ
fumecheng-10469	65	12	behavior	behavior	NOUN
fumecheng-10469	65	13	of	of	ADP
fumecheng-10469	65	14	fg	fg	PROPN
fumecheng-10469	65	15	and	and	CCONJ
fumecheng-10469	65	16	sandwich	sandwich	PROPN
fumecheng-10469	65	17	fg	fg	PROPN
fumecheng-10469	65	18	with	with	ADP
fumecheng-10469	65	19	piezoelectric	piezoelectric	ADJ
fumecheng-10469	65	20	layers	layer	NOUN
fumecheng-10469	65	21	nanobeams	nanobeam	NOUN
fumecheng-10469	65	22	based	base	VERB
fumecheng-10469	65	23	on	on	ADP
fumecheng-10469	65	24	reddy	reddy	PROPN
fumecheng-10469	65	25	third	third	ADJ
fumecheng-10469	65	26	-	-	PUNCT
fumecheng-10469	65	27	order	order	NOUN
fumecheng-10469	65	28	shear	shear	NOUN
fumecheng-10469	65	29	deformation	deformation	NOUN
fumecheng-10469	65	30	theory	theory	NOUN
fumecheng-10469	65	31	and	and	CCONJ
fumecheng-10469	65	32	the	the	DET
fumecheng-10469	65	33	nonlocal	nonlocal	ADJ
fumecheng-10469	65	34	strain	strain	NOUN
fumecheng-10469	65	35	gradient	gradient	NOUN
fumecheng-10469	65	36	theory	theory	NOUN
fumecheng-10469	65	37	.	.	PUNCT
fumecheng-10469	66	1	nasr	nasr	PROPN
fumecheng-10469	66	2	et	et	PROPN
fumecheng-10469	66	3	al	al	PROPN
fumecheng-10469	66	4	.	.	PUNCT
fumecheng-10469	67	1	[	[	X
fumecheng-10469	67	2	65	65	NUM
fumecheng-10469	67	3	]	]	PUNCT
fumecheng-10469	67	4	studied	study	VERB
fumecheng-10469	67	5	effect	effect	NOUN
fumecheng-10469	67	6	twoparameter	twoparameter	PROPN
fumecheng-10469	67	7	foundation	foundation	PROPN
fumecheng-10469	67	8	and	and	CCONJ
fumecheng-10469	67	9	thermoelastic	thermoelastic	ADJ
fumecheng-10469	67	10	phenomenon	phenomenon	NOUN
fumecheng-10469	67	11	on	on	ADP
fumecheng-10469	67	12	deflection	deflection	NOUN
fumecheng-10469	67	13	and	and	CCONJ
fumecheng-10469	67	14	vibration	vibration	NOUN
fumecheng-10469	67	15	nanobeam	nanobeam	NOUN
fumecheng-10469	67	16	based	base	VERB
fumecheng-10469	67	17	on	on	ADP
fumecheng-10469	67	18	euler	euler	NOUN
fumecheng-10469	67	19	-	-	PUNCT
fumecheng-10469	67	20	bernoulli	bernoulli	PROPN
fumecheng-10469	67	21	beam	beam	NOUN
fumecheng-10469	67	22	assumptions	assumption	NOUN
fumecheng-10469	67	23	and	and	CCONJ
fumecheng-10469	67	24	eringen	eringen	PROPN
fumecheng-10469	67	25	’s	’s	PART
fumecheng-10469	67	26	nonlocal	nonlocal	ADJ
fumecheng-10469	67	27	elasticity	elasticity	NOUN
fumecheng-10469	67	28	.	.	PUNCT
fumecheng-10469	68	1	1.1	1.1	NUM
fumecheng-10469	68	2	.	.	PUNCT
fumecheng-10469	68	3	novelty	novelty	NOUN
fumecheng-10469	68	4	of	of	ADP
fumecheng-10469	68	5	the	the	DET
fumecheng-10469	68	6	present	present	ADJ
fumecheng-10469	68	7	study	study	NOUN
fumecheng-10469	68	8	based	base	VERB
fumecheng-10469	68	9	on	on	ADP
fumecheng-10469	68	10	the	the	DET
fumecheng-10469	68	11	best	good	ADJ
fumecheng-10469	68	12	author	author	NOUN
fumecheng-10469	68	13	’s	’s	PART
fumecheng-10469	68	14	knowledge	knowledge	NOUN
fumecheng-10469	68	15	and	and	CCONJ
fumecheng-10469	68	16	presented	present	VERB
fumecheng-10469	68	17	literature	literature	NOUN
fumecheng-10469	68	18	survey	survey	NOUN
fumecheng-10469	68	19	there	there	PRON
fumecheng-10469	68	20	is	be	VERB
fumecheng-10469	68	21	a	a	DET
fumecheng-10469	68	22	lack	lack	NOUN
fumecheng-10469	68	23	of	of	ADP
fumecheng-10469	68	24	investigation	investigation	NOUN
fumecheng-10469	68	25	focused	focus	VERB
fumecheng-10469	68	26	on	on	ADP
fumecheng-10469	68	27	the	the	DET
fumecheng-10469	68	28	range	range	NOUN
fumecheng-10469	68	29	of	of	ADP
fumecheng-10469	68	30	nonlocal	nonlocal	ADJ
fumecheng-10469	68	31	parameters	parameter	NOUN
fumecheng-10469	68	32	interaction	interaction	NOUN
fumecheng-10469	68	33	on	on	ADP
fumecheng-10469	68	34	dynamic	dynamic	ADJ
fumecheng-10469	68	35	response	response	NOUN
fumecheng-10469	68	36	of	of	ADP
fumecheng-10469	68	37	functionally	functionally	ADV
fumecheng-10469	68	38	graded	grade	VERB
fumecheng-10469	68	39	porous	porous	ADJ
fumecheng-10469	68	40	beam	beam	NOUN
fumecheng-10469	68	41	-	-	PUNCT
fumecheng-10469	68	42	like	like	ADJ
fumecheng-10469	68	43	nanostructures	nanostructure	NOUN
fumecheng-10469	68	44	,	,	PUNCT
fumecheng-10469	68	45	with	with	ADP
fumecheng-10469	68	46	simply	simply	ADV
fumecheng-10469	68	47	supported	support	VERB
fumecheng-10469	68	48	edges	edge	NOUN
fumecheng-10469	68	49	,	,	PUNCT
fumecheng-10469	68	50	under	under	ADP
fumecheng-10469	68	51	in	in	ADP
fumecheng-10469	68	52	-	-	PUNCT
fumecheng-10469	68	53	plane	plane	NOUN
fumecheng-10469	68	54	electromechanical	electromechanical	ADJ
fumecheng-10469	68	55	forces	force	NOUN
fumecheng-10469	68	56	.	.	PUNCT
fumecheng-10469	69	1	achieved	achieve	VERB
fumecheng-10469	69	2	nano	nano	NOUN
fumecheng-10469	69	3	-	-	PUNCT
fumecheng-10469	69	4	actuator	actuator	NOUN
fumecheng-10469	69	5	model	model	NOUN
fumecheng-10469	69	6	based	base	VERB
fumecheng-10469	69	7	on	on	ADP
fumecheng-10469	69	8	the	the	DET
fumecheng-10469	69	9	nonlocal	nonlocal	ADJ
fumecheng-10469	69	10	strain	strain	NOUN
fumecheng-10469	69	11	gradient	gradient	NOUN
fumecheng-10469	69	12	theory	theory	NOUN
fumecheng-10469	69	13	in	in	ADP
fumecheng-10469	69	14	conjunction	conjunction	NOUN
fumecheng-10469	69	15	with	with	ADP
fumecheng-10469	69	16	the	the	DET
fumecheng-10469	69	17	reddy	reddy	PROPN
fumecheng-10469	69	18	third	third	ADJ
fumecheng-10469	69	19	-	-	PUNCT
fumecheng-10469	69	20	order	order	NOUN
fumecheng-10469	69	21	shear	shear	NOUN
fumecheng-10469	69	22	deformation	deformation	NOUN
fumecheng-10469	69	23	theory	theory	NOUN
fumecheng-10469	69	24	enables	enable	VERB
fumecheng-10469	69	25	a	a	DET
fumecheng-10469	69	26	wide	wide	ADJ
fumecheng-10469	69	27	spectrum	spectrum	NOUN
fumecheng-10469	69	28	to	to	PART
fumecheng-10469	69	29	analyze	analyze	VERB
fumecheng-10469	69	30	nanostructures	nanostructure	NOUN
fumecheng-10469	69	31	dynamic	dynamic	ADJ
fumecheng-10469	69	32	response	response	NOUN
fumecheng-10469	69	33	in	in	ADP
fumecheng-10469	69	34	view	view	NOUN
fumecheng-10469	69	35	of	of	ADP
fumecheng-10469	69	36	nonlocal	nonlocal	ADJ
fumecheng-10469	69	37	parameters	parameter	NOUN
fumecheng-10469	69	38	as	as	ADV
fumecheng-10469	69	39	well	well	ADV
fumecheng-10469	69	40	as	as	ADP
fumecheng-10469	69	41	geometrical	geometrical	ADJ
fumecheng-10469	69	42	and	and	CCONJ
fumecheng-10469	69	43	material	material	NOUN
fumecheng-10469	69	44	properties	property	NOUN
fumecheng-10469	69	45	.	.	PUNCT
fumecheng-10469	70	1	the	the	DET
fumecheng-10469	70	2	study	study	NOUN
fumecheng-10469	70	3	ensures	ensure	VERB
fumecheng-10469	70	4	different	different	ADJ
fumecheng-10469	70	5	point	point	NOUN
fumecheng-10469	70	6	of	of	ADP
fumecheng-10469	70	7	view	view	NOUN
fumecheng-10469	70	8	to	to	ADP
fumecheng-10469	70	9	the	the	DET
fumecheng-10469	70	10	analysis	analysis	NOUN
fumecheng-10469	70	11	of	of	ADP
fumecheng-10469	70	12	vibrational	vibrational	ADJ
fumecheng-10469	70	13	response	response	NOUN
fumecheng-10469	70	14	of	of	ADP
fumecheng-10469	70	15	nanobeams	nanobeam	NOUN
fumecheng-10469	70	16	.	.	PUNCT
fumecheng-10469	71	1	in	in	ADP
fumecheng-10469	71	2	contrast	contrast	NOUN
fumecheng-10469	71	3	to	to	ADP
fumecheng-10469	71	4	previous	previous	ADJ
fumecheng-10469	71	5	papers	paper	NOUN
fumecheng-10469	71	6	,	,	PUNCT
fumecheng-10469	71	7	the	the	DET
fumecheng-10469	71	8	present	present	ADJ
fumecheng-10469	71	9	investigation	investigation	NOUN
fumecheng-10469	71	10	is	be	AUX
fumecheng-10469	71	11	focused	focus	VERB
fumecheng-10469	71	12	on	on	ADP
fumecheng-10469	71	13	an	an	DET
fumecheng-10469	71	14	influence	influence	NOUN
fumecheng-10469	71	15	range	range	NOUN
fumecheng-10469	71	16	of	of	ADP
fumecheng-10469	71	17	nonlocal	nonlocal	ADJ
fumecheng-10469	71	18	parameters	parameter	NOUN
fumecheng-10469	71	19	on	on	ADP
fumecheng-10469	71	20	dynamic	dynamic	ADJ
fumecheng-10469	71	21	behavior	behavior	NOUN
fumecheng-10469	71	22	of	of	ADP
fumecheng-10469	71	23	nanostructure	nanostructure	NOUN
fumecheng-10469	71	24	in	in	ADP
fumecheng-10469	71	25	view	view	NOUN
fumecheng-10469	71	26	of	of	ADP
fumecheng-10469	71	27	material	material	NOUN
fumecheng-10469	71	28	and	and	CCONJ
fumecheng-10469	71	29	geometrical	geometrical	ADJ
fumecheng-10469	71	30	properties	property	NOUN
fumecheng-10469	71	31	together	together	ADV
fumecheng-10469	71	32	with	with	ADP
fumecheng-10469	71	33	an	an	DET
fumecheng-10469	71	34	applied	apply	VERB
fumecheng-10469	71	35	electromechanical	electromechanical	ADJ
fumecheng-10469	71	36	load	load	NOUN
fumecheng-10469	71	37	.	.	PUNCT
fumecheng-10469	72	1	the	the	DET
fumecheng-10469	72	2	investigation	investigation	NOUN
fumecheng-10469	72	3	considers	consider	VERB
fumecheng-10469	72	4	length	length	NOUN
fumecheng-10469	72	5	of	of	ADP
fumecheng-10469	72	6	the	the	DET
fumecheng-10469	72	7	nanostructure	nanostructure	NOUN
fumecheng-10469	72	8	at	at	ADP
fumecheng-10469	72	9	which	which	PRON
fumecheng-10469	72	10	the	the	DET
fumecheng-10469	72	11	nonlocal	nonlocal	ADJ
fumecheng-10469	72	12	phenomena	phenomenon	NOUN
fumecheng-10469	72	13	have	have	VERB
fumecheng-10469	72	14	crucial	crucial	ADJ
fumecheng-10469	72	15	influence	influence	NOUN
fumecheng-10469	72	16	on	on	ADP
fumecheng-10469	72	17	its	its	PRON
fumecheng-10469	72	18	vibrational	vibrational	ADJ
fumecheng-10469	72	19	response	response	NOUN
fumecheng-10469	72	20	.	.	PUNCT
fumecheng-10469	73	1	in	in	ADP
fumecheng-10469	73	2	accordance	accordance	NOUN
fumecheng-10469	73	3	with	with	ADP
fumecheng-10469	73	4	this	this	DET
fumecheng-10469	73	5	objective	objective	NOUN
fumecheng-10469	73	6	,	,	PUNCT
fumecheng-10469	73	7	the	the	DET
fumecheng-10469	73	8	study	study	NOUN
fumecheng-10469	73	9	displays	display	VERB
fumecheng-10469	73	10	differences	difference	NOUN
fumecheng-10469	73	11	in	in	ADP
fumecheng-10469	73	12	results	result	NOUN
fumecheng-10469	73	13	obtained	obtain	VERB
fumecheng-10469	73	14	based	base	VERB
fumecheng-10469	73	15	on	on	ADP
fumecheng-10469	73	16	classical	classical	ADJ
fumecheng-10469	73	17	and	and	CCONJ
fumecheng-10469	73	18	nonlocal	nonlocal	ADJ
fumecheng-10469	73	19	assumptions	assumption	NOUN
fumecheng-10469	73	20	.	.	PUNCT
fumecheng-10469	74	1	what	what	PRON
fumecheng-10469	74	2	is	be	AUX
fumecheng-10469	74	3	more	more	ADJ
fumecheng-10469	74	4	,	,	PUNCT
fumecheng-10469	74	5	the	the	DET
fumecheng-10469	74	6	present	present	ADJ
fumecheng-10469	74	7	study	study	NOUN
fumecheng-10469	74	8	together	together	ADV
fumecheng-10469	74	9	with	with	ADP
fumecheng-10469	74	10	solution	solution	NOUN
fumecheng-10469	74	11	methodology	methodology	NOUN
fumecheng-10469	74	12	provides	provide	VERB
fumecheng-10469	74	13	a	a	DET
fumecheng-10469	74	14	possibility	possibility	NOUN
fumecheng-10469	74	15	to	to	PART
fumecheng-10469	74	16	estimate	estimate	VERB
fumecheng-10469	74	17	values	value	NOUN
fumecheng-10469	74	18	of	of	ADP
fumecheng-10469	74	19	small	small	ADJ
fumecheng-10469	74	20	-	-	PUNCT
fumecheng-10469	74	21	scale	scale	NOUN
fumecheng-10469	74	22	parameters	parameter	NOUN
fumecheng-10469	74	23	depending	depend	VERB
fumecheng-10469	74	24	on	on	ADP
fumecheng-10469	74	25	expected	expect	VERB
fumecheng-10469	74	26	fundamental	fundamental	ADJ
fumecheng-10469	74	27	frequencies	frequency	NOUN
fumecheng-10469	74	28	,	,	PUNCT
fumecheng-10469	74	29	assumed	assume	VERB
fumecheng-10469	74	30	,	,	PUNCT
fumecheng-10469	74	31	or	or	CCONJ
fumecheng-10469	74	32	predicted	predict	VERB
fumecheng-10469	74	33	material	material	NOUN
fumecheng-10469	74	34	properties	property	NOUN
fumecheng-10469	74	35	along	along	ADP
fumecheng-10469	74	36	with	with	ADP
fumecheng-10469	74	37	mechanical	mechanical	ADJ
fumecheng-10469	74	38	and	and	CCONJ
fumecheng-10469	74	39	electrical	electrical	ADJ
fumecheng-10469	74	40	forces	force	NOUN
fumecheng-10469	74	41	acting	act	VERB
fumecheng-10469	74	42	in	in	ADP
fumecheng-10469	74	43	nems	nems	PROPN
fumecheng-10469	74	44	devices	device	NOUN
fumecheng-10469	74	45	.	.	PUNCT
fumecheng-10469	75	1	the	the	DET
fumecheng-10469	75	2	presented	present	VERB
fumecheng-10469	75	3	approach	approach	NOUN
fumecheng-10469	75	4	could	could	AUX
fumecheng-10469	75	5	be	be	AUX
fumecheng-10469	75	6	an	an	DET
fumecheng-10469	75	7	important	important	ADJ
fumecheng-10469	75	8	tool	tool	NOUN
fumecheng-10469	75	9	in	in	ADP
fumecheng-10469	75	10	better	well	ADJ
fumecheng-10469	75	11	460	460	NUM
fumecheng-10469	75	12	p.	p.	NOUN
fumecheng-10469	75	13	jankowski	jankowski	PROPN
fumecheng-10469	75	14	understanding	understand	VERB
fumecheng-10469	75	15	nems	nem	NOUN
fumecheng-10469	75	16	structures	structure	NOUN
fumecheng-10469	75	17	and	and	CCONJ
fumecheng-10469	75	18	consequently	consequently	ADV
fumecheng-10469	75	19	,	,	PUNCT
fumecheng-10469	75	20	may	may	AUX
fumecheng-10469	75	21	avoid	avoid	VERB
fumecheng-10469	75	22	some	some	PRON
fumecheng-10469	75	23	of	of	ADP
fumecheng-10469	75	24	cost	cost	NOUN
fumecheng-10469	75	25	-	-	PUNCT
fumecheng-10469	75	26	consuming	consume	VERB
fumecheng-10469	75	27	and	and	CCONJ
fumecheng-10469	75	28	complex	complex	ADJ
fumecheng-10469	75	29	material	material	NOUN
fumecheng-10469	75	30	characterization	characterization	NOUN
fumecheng-10469	75	31	processes	process	NOUN
fumecheng-10469	75	32	,	,	PUNCT
fumecheng-10469	75	33	especially	especially	ADV
fumecheng-10469	75	34	for	for	ADP
fumecheng-10469	75	35	nems	nem	NOUN
fumecheng-10469	75	36	devices	device	NOUN
fumecheng-10469	75	37	in	in	ADP
fumecheng-10469	75	38	engineering	engineering	NOUN
fumecheng-10469	75	39	applications	application	NOUN
fumecheng-10469	75	40	.	.	PUNCT
fumecheng-10469	76	1	2	2	NUM
fumecheng-10469	76	2	.	.	X
fumecheng-10469	76	3	higher	high	ADJ
fumecheng-10469	76	4	-	-	PUNCT
fumecheng-10469	76	5	order	order	NOUN
fumecheng-10469	76	6	nonlocal	nonlocal	ADJ
fumecheng-10469	76	7	elasticity	elasticity	NOUN
fumecheng-10469	76	8	and	and	CCONJ
fumecheng-10469	76	9	strain	strain	VERB
fumecheng-10469	76	10	gradient	gradient	ADJ
fumecheng-10469	76	11	theory	theory	NOUN
fumecheng-10469	76	12	a	a	DET
fumecheng-10469	76	13	higher	high	ADJ
fumecheng-10469	76	14	-	-	PUNCT
fumecheng-10469	76	15	order	order	NOUN
fumecheng-10469	76	16	nonlocal	nonlocal	ADJ
fumecheng-10469	76	17	elasticity	elasticity	NOUN
fumecheng-10469	76	18	and	and	CCONJ
fumecheng-10469	76	19	strain	strain	VERB
fumecheng-10469	76	20	gradient	gradient	ADJ
fumecheng-10469	76	21	theory	theory	NOUN
fumecheng-10469	76	22	called	call	VERB
fumecheng-10469	76	23	as	as	ADP
fumecheng-10469	76	24	the	the	DET
fumecheng-10469	76	25	nonlocal	nonlocal	ADJ
fumecheng-10469	76	26	strain	strain	NOUN
fumecheng-10469	76	27	gradient	gradient	ADJ
fumecheng-10469	76	28	theory	theory	NOUN
fumecheng-10469	76	29	[	[	X
fumecheng-10469	76	30	26	26	NUM
fumecheng-10469	76	31	]	]	PUNCT
fumecheng-10469	76	32	is	be	AUX
fumecheng-10469	76	33	a	a	DET
fumecheng-10469	76	34	novel	novel	ADJ
fumecheng-10469	76	35	hybrid	hybrid	ADJ
fumecheng-10469	76	36	refined	refined	ADJ
fumecheng-10469	76	37	theory	theory	NOUN
fumecheng-10469	76	38	that	that	PRON
fumecheng-10469	76	39	enables	enable	VERB
fumecheng-10469	76	40	consider	consider	VERB
fumecheng-10469	76	41	both	both	DET
fumecheng-10469	76	42	stiffnesses	stiffness	NOUN
fumecheng-10469	76	43	softening	soften	VERB
fumecheng-10469	76	44	and	and	CCONJ
fumecheng-10469	76	45	hardening	harden	VERB
fumecheng-10469	76	46	effects	effect	NOUN
fumecheng-10469	76	47	in	in	ADP
fumecheng-10469	76	48	the	the	DET
fumecheng-10469	76	49	nanostructure	nanostructure	NOUN
fumecheng-10469	76	50	.	.	PUNCT
fumecheng-10469	77	1	thus	thus	ADV
fumecheng-10469	77	2	,	,	PUNCT
fumecheng-10469	77	3	such	such	DET
fumecheng-10469	77	4	an	an	DET
fumecheng-10469	77	5	approach	approach	NOUN
fumecheng-10469	77	6	allows	allow	VERB
fumecheng-10469	77	7	taking	take	VERB
fumecheng-10469	77	8	advantage	advantage	NOUN
fumecheng-10469	77	9	of	of	ADP
fumecheng-10469	77	10	eringen	eringen	PROPN
fumecheng-10469	77	11	’s	’s	PART
fumecheng-10469	77	12	nonlocal	nonlocal	ADJ
fumecheng-10469	77	13	theory	theory	NOUN
fumecheng-10469	77	14	and	and	CCONJ
fumecheng-10469	77	15	mindlin	mindlin	NOUN
fumecheng-10469	77	16	’s	’s	PART
fumecheng-10469	77	17	strain	strain	PROPN
fumecheng-10469	77	18	gradient	gradient	NOUN
fumecheng-10469	77	19	theory	theory	NOUN
fumecheng-10469	77	20	from	from	ADP
fumecheng-10469	77	21	a	a	DET
fumecheng-10469	77	22	single	single	ADJ
fumecheng-10469	77	23	point	point	NOUN
fumecheng-10469	77	24	of	of	ADP
fumecheng-10469	77	25	view	view	NOUN
fumecheng-10469	77	26	[	[	X
fumecheng-10469	77	27	66	66	NUM
fumecheng-10469	77	28	]	]	PUNCT
fumecheng-10469	77	29	.	.	PUNCT
fumecheng-10469	78	1	according	accord	VERB
fumecheng-10469	78	2	to	to	ADP
fumecheng-10469	78	3	assumptions	assumption	NOUN
fumecheng-10469	78	4	of	of	ADP
fumecheng-10469	78	5	the	the	DET
fumecheng-10469	78	6	nonlocal	nonlocal	ADJ
fumecheng-10469	78	7	strain	strain	NOUN
fumecheng-10469	78	8	gradient	gradient	NOUN
fumecheng-10469	78	9	theory	theory	NOUN
fumecheng-10469	78	10	,	,	PUNCT
fumecheng-10469	78	11	the	the	DET
fumecheng-10469	78	12	total	total	ADJ
fumecheng-10469	78	13	stress	stress	NOUN
fumecheng-10469	78	14	tensor	tensor	NOUN
fumecheng-10469	78	15	is	be	AUX
fumecheng-10469	78	16	presented	present	VERB
fumecheng-10469	78	17	in	in	ADP
fumecheng-10469	78	18	the	the	DET
fumecheng-10469	78	19	form	form	NOUN
fumecheng-10469	78	20	:	:	PUNCT
fumecheng-10469	78	21	(	(	PUNCT
fumecheng-10469	78	22	1)	1)	NUM
fumecheng-10469	78	23			PROPN
fumecheng-10469	78	24	=	=	NOUN
fumecheng-10469	78	25	−	−	NOUN
fumecheng-10469	78	26	(	(	PUNCT
fumecheng-10469	78	27	1	1	NUM
fumecheng-10469	78	28	)	)	PUNCT
fumecheng-10469	78	29	where	where	SCONJ
fumecheng-10469	78	30			PROPN
fumecheng-10469	78	31	refers	refer	VERB
fumecheng-10469	78	32	to	to	ADP
fumecheng-10469	78	33	classical	classical	ADJ
fumecheng-10469	78	34	stresses	stress	NOUN
fumecheng-10469	78	35	(	(	PUNCT
fumecheng-10469	78	36	work	work	NOUN
fumecheng-10469	78	37	conjugate	conjugate	NOUN
fumecheng-10469	78	38	of	of	ADP
fumecheng-10469	78	39	classical	classical	ADJ
fumecheng-10469	78	40	strains	strain	NOUN
fumecheng-10469	78	41	)	)	PUNCT
fumecheng-10469	78	42	and	and	CCONJ
fumecheng-10469	78	43	(	(	PUNCT
fumecheng-10469	78	44	1)	1)	NUM
fumecheng-10469	78	45	to	to	ADP
fumecheng-10469	78	46	higher	high	ADJ
fumecheng-10469	78	47	-	-	PUNCT
fumecheng-10469	78	48	order	order	NOUN
fumecheng-10469	78	49	stresses	stress	NOUN
fumecheng-10469	78	50	(	(	PUNCT
fumecheng-10469	78	51	work	work	NOUN
fumecheng-10469	78	52	conjugate	conjugate	NOUN
fumecheng-10469	78	53	of	of	ADP
fumecheng-10469	78	54	gradients	gradient	NOUN
fumecheng-10469	78	55	of	of	ADP
fumecheng-10469	78	56	strains	strain	NOUN
fumecheng-10469	78	57	)	)	PUNCT
fumecheng-10469	78	58	.	.	PUNCT
fumecheng-10469	79	1	used	use	VERB
fumecheng-10469	79	2	vector	vector	NOUN
fumecheng-10469	79	3	differential	differential	NOUN
fumecheng-10469	79	4	operator	operator	NOUN
fumecheng-10469	79	5	∇	∇	NOUN
fumecheng-10469	79	6	=	=	PUNCT
fumecheng-10469	79	7	ei∂/∂xi	ei∂/∂xi	PROPN
fumecheng-10469	79	8	is	be	AUX
fumecheng-10469	79	9	coupled	couple	VERB
fumecheng-10469	79	10	with	with	ADP
fumecheng-10469	79	11	unit	unit	NOUN
fumecheng-10469	79	12	vector	vector	NOUN
fumecheng-10469	79	13	ei	ei	NOUN
fumecheng-10469	79	14	and	and	CCONJ
fumecheng-10469	79	15	direction	direction	NOUN
fumecheng-10469	79	16	xi	xi	INTJ
fumecheng-10469	79	17	of	of	ADP
fumecheng-10469	79	18	a	a	DET
fumecheng-10469	79	19	nonlocal	nonlocal	ADJ
fumecheng-10469	79	20	effect	effect	NOUN
fumecheng-10469	79	21	(	(	PUNCT
fumecheng-10469	79	22	gradient	gradient	NOUN
fumecheng-10469	79	23	)	)	PUNCT
fumecheng-10469	79	24	in	in	ADP
fumecheng-10469	79	25	nanostructure	nanostructure	NOUN
fumecheng-10469	79	26	.	.	PUNCT
fumecheng-10469	80	1	the	the	DET
fumecheng-10469	80	2	classical	classical	ADJ
fumecheng-10469	80	3	and	and	CCONJ
fumecheng-10469	80	4	higher	high	ADJ
fumecheng-10469	80	5	-	-	PUNCT
fumecheng-10469	80	6	order	order	NOUN
fumecheng-10469	80	7	stress	stress	NOUN
fumecheng-10469	80	8	tensors	tensor	NOUN
fumecheng-10469	80	9	are	be	AUX
fumecheng-10469	80	10	derived	derive	VERB
fumecheng-10469	80	11	as	as	ADP
fumecheng-10469	80	12	:	:	PUNCT
fumecheng-10469	80	13	)	)	PUNCT
fumecheng-10469	80	14	:(	:(	PUNCT
fumecheng-10469	81	1	v	v	NUM
fumecheng-10469	81	2	cx	cx	PROPN
fumecheng-10469	81	3	x	x	PROPN
fumecheng-10469	81	4	=	=	NOUN
fumecheng-10469	81	5			ADP
fumecheng-10469	81	6	0	0	NUM
fumecheng-10469	81	7	0	0	NUM
fumecheng-10469	81	8	'	'	NUM
fumecheng-10469	81	9	α	α	NOUN
fumecheng-10469	81	10	,	,	PUNCT
fumecheng-10469	81	11	'	'	PUNCT
fumecheng-10469	81	12	,	,	PUNCT
fumecheng-10469	81	13	e	e	X
fumecheng-10469	81	14	'	'	PUNCT
fumecheng-10469	81	15	dva	dva	PROPN
fumecheng-10469	81	16	(	(	PUNCT
fumecheng-10469	81	17	2a	2a	NUM
fumecheng-10469	81	18	)	)	PUNCT
fumecheng-10469	81	19	(	(	PUNCT
fumecheng-10469	81	20	1	1	NUM
fumecheng-10469	81	21	)	)	PUNCT
fumecheng-10469	81	22	2	2	NUM
fumecheng-10469	81	23	)	)	PUNCT
fumecheng-10469	81	24	:(	:(	PUNCT
fumecheng-10469	82	1	v	v	X
fumecheng-10469	82	2	x	x	X
fumecheng-10469	82	3	cx	cx	PRON
fumecheng-10469	82	4	=	=	NOUN
fumecheng-10469	82	5			ADV
fumecheng-10469	82	6	1	1	NUM
fumecheng-10469	82	7	1	1	NUM
fumecheng-10469	82	8	'	'	NUM
fumecheng-10469	82	9	,	,	PUNCT
fumecheng-10469	82	10	'	'	PUNCT
fumecheng-10469	82	11	dv'α	dv'α	X
fumecheng-10469	82	12	,	,	PUNCT
fumecheng-10469	82	13	e	e	PROPN
fumecheng-10469	82	14	a	a	DET
fumecheng-10469	82	15	(	(	PUNCT
fumecheng-10469	82	16	2b	2b	NOUN
fumecheng-10469	82	17	)	)	PUNCT
fumecheng-10469	82	18	where	where	SCONJ
fumecheng-10469	82	19	α0	α0	ADJ
fumecheng-10469	82	20	and	and	CCONJ
fumecheng-10469	82	21	α1	α1	PROPN
fumecheng-10469	82	22	represent	represent	VERB
fumecheng-10469	82	23	principial	principial	ADJ
fumecheng-10469	82	24	and	and	CCONJ
fumecheng-10469	82	25	additional	additional	ADJ
fumecheng-10469	82	26	attenuation	attenuation	NOUN
fumecheng-10469	82	27	kernel	kernel	NOUN
fumecheng-10469	82	28	functions	function	NOUN
fumecheng-10469	82	29	to	to	PART
fumecheng-10469	82	30	describe	describe	VERB
fumecheng-10469	82	31	nonlocality	nonlocality	NOUN
fumecheng-10469	82	32	effects	effect	NOUN
fumecheng-10469	82	33	in	in	ADP
fumecheng-10469	82	34	terms	term	NOUN
fumecheng-10469	82	35	of	of	ADP
fumecheng-10469	82	36	the	the	DET
fumecheng-10469	82	37	euclidean	euclidean	ADJ
fumecheng-10469	82	38	distance	distance	NOUN
fumecheng-10469	82	39	between	between	ADP
fumecheng-10469	82	40	the	the	DET
fumecheng-10469	82	41	point	point	NOUN
fumecheng-10469	82	42	x	x	PUNCT
fumecheng-10469	82	43	and	and	CCONJ
fumecheng-10469	82	44	neighboring	neighboring	NOUN
fumecheng-10469	82	45	points	point	NOUN
fumecheng-10469	82	46	x′	x′	PROPN
fumecheng-10469	82	47	in	in	ADP
fumecheng-10469	82	48	the	the	DET
fumecheng-10469	82	49	domain	domain	NOUN
fumecheng-10469	82	50	v.	v.	ADP
fumecheng-10469	82	51	additionally	additionally	ADV
fumecheng-10469	82	52	,	,	PUNCT
fumecheng-10469	82	53	ℓ	ℓ	PROPN
fumecheng-10469	82	54	stands	stand	VERB
fumecheng-10469	82	55	for	for	ADP
fumecheng-10469	82	56	the	the	DET
fumecheng-10469	82	57	length	length	NOUN
fumecheng-10469	82	58	scale	scale	NOUN
fumecheng-10469	82	59	parameter	parameter	NOUN
fumecheng-10469	82	60	form	form	VERB
fumecheng-10469	82	61	the	the	DET
fumecheng-10469	82	62	strain	strain	NOUN
fumecheng-10469	82	63	gradient	gradient	NOUN
fumecheng-10469	82	64	theory	theory	NOUN
fumecheng-10469	82	65	,	,	PUNCT
fumecheng-10469	82	66	as	as	ADV
fumecheng-10469	82	67	well	well	ADV
fumecheng-10469	82	68	as	as	ADP
fumecheng-10469	82	69	e0	e0	PROPN
fumecheng-10469	82	70	and	and	CCONJ
fumecheng-10469	82	71	e1	e1	PROPN
fumecheng-10469	82	72	are	be	AUX
fumecheng-10469	82	73	nonlocal	nonlocal	ADJ
fumecheng-10469	82	74	constants	constant	NOUN
fumecheng-10469	82	75	together	together	ADV
fumecheng-10469	82	76	with	with	ADP
fumecheng-10469	82	77	a	a	DET
fumecheng-10469	82	78	represent	represent	ADJ
fumecheng-10469	82	79	internal	internal	ADJ
fumecheng-10469	82	80	characteristic	characteristic	ADJ
fumecheng-10469	82	81	length	length	NOUN
fumecheng-10469	82	82	.	.	PUNCT
fumecheng-10469	83	1	then	then	ADV
fumecheng-10469	83	2	,	,	PUNCT
fumecheng-10469	83	3	ε′	ε′	NOUN
fumecheng-10469	83	4	is	be	AUX
fumecheng-10469	83	5	the	the	DET
fumecheng-10469	83	6	cartesian	cartesian	ADJ
fumecheng-10469	83	7	components	component	NOUN
fumecheng-10469	83	8	of	of	ADP
fumecheng-10469	83	9	the	the	DET
fumecheng-10469	83	10	strain	strain	NOUN
fumecheng-10469	83	11	tensor	tensor	NOUN
fumecheng-10469	83	12	at	at	ADP
fumecheng-10469	83	13	point	point	NOUN
fumecheng-10469	83	14	x′	x′	NUM
fumecheng-10469	83	15	,	,	PUNCT
fumecheng-10469	83	16	and	and	CCONJ
fumecheng-10469	83	17	c	c	PROPN
fumecheng-10469	83	18	is	be	AUX
fumecheng-10469	83	19	the	the	DET
fumecheng-10469	83	20	elastic	elastic	ADJ
fumecheng-10469	83	21	modulus	modulus	NOUN
fumecheng-10469	83	22	tensor	tensor	NOUN
fumecheng-10469	83	23	of	of	ADP
fumecheng-10469	83	24	classical	classical	ADJ
fumecheng-10469	83	25	elasticity	elasticity	NOUN
fumecheng-10469	83	26	.	.	PUNCT
fumecheng-10469	84	1	a	a	DET
fumecheng-10469	84	2	general	general	ADJ
fumecheng-10469	84	3	form	form	NOUN
fumecheng-10469	84	4	of	of	ADP
fumecheng-10469	84	5	constitutive	constitutive	ADJ
fumecheng-10469	84	6	equations	equation	NOUN
fumecheng-10469	84	7	in	in	ADP
fumecheng-10469	84	8	differential	differential	ADJ
fumecheng-10469	84	9	form	form	NOUN
fumecheng-10469	84	10	may	may	AUX
fumecheng-10469	84	11	be	be	AUX
fumecheng-10469	84	12	obtained	obtain	VERB
fumecheng-10469	84	13	assuming	assume	VERB
fumecheng-10469	84	14	that	that	SCONJ
fumecheng-10469	84	15	nonlocal	nonlocal	ADJ
fumecheng-10469	84	16	attenuation	attenuation	NOUN
fumecheng-10469	84	17	kernel	kernel	NOUN
fumecheng-10469	84	18	functions	function	NOUN
fumecheng-10469	84	19	satisfy	satisfy	NOUN
fumecheng-10469	84	20	conditions	condition	NOUN
fumecheng-10469	84	21	proposed	propose	VERB
fumecheng-10469	84	22	by	by	ADP
fumecheng-10469	84	23	eringen	eringen	PROPN
fumecheng-10469	84	24	[	[	X
fumecheng-10469	84	25	24	24	NUM
fumecheng-10469	84	26	]	]	PUNCT
fumecheng-10469	84	27	and	and	CCONJ
fumecheng-10469	84	28	applying	apply	VERB
fumecheng-10469	84	29	linear	linear	ADJ
fumecheng-10469	84	30	differentiational	differentiational	ADJ
fumecheng-10469	84	31	operators	operator	NOUN
fumecheng-10469	84	32	on	on	ADP
fumecheng-10469	84	33	both	both	DET
fumecheng-10469	84	34	sides	side	NOUN
fumecheng-10469	84	35	of	of	ADP
fumecheng-10469	84	36	eq	eq	PROPN
fumecheng-10469	84	37	.	.	PUNCT
fumecheng-10469	85	1	(	(	PUNCT
fumecheng-10469	85	2	1	1	NUM
fumecheng-10469	85	3	)	)	PUNCT
fumecheng-10469	85	4	.	.	PUNCT
fumecheng-10469	86	1	the	the	DET
fumecheng-10469	86	2	differential	differential	ADJ
fumecheng-10469	86	3	operator	operator	NOUN
fumecheng-10469	86	4	is	be	AUX
fumecheng-10469	86	5	in	in	ADP
fumecheng-10469	86	6	the	the	DET
fumecheng-10469	86	7	form	form	NOUN
fumecheng-10469	86	8	:	:	PUNCT
fumecheng-10469	86	9	2	2	NUM
fumecheng-10469	86	10	21	21	NUM
fumecheng-10469	86	11	(	(	PUNCT
fumecheng-10469	86	12	)	)	PUNCT
fumecheng-10469	86	13	=	=	NUM
fumecheng-10469	86	14	−	−	PROPN
fumecheng-10469	86	15	ii	ii	NOUN
fumecheng-10469	86	16	e	e	NOUN
fumecheng-10469	86	17	a	a	PRON
fumecheng-10469	86	18	for	for	ADP
fumecheng-10469	86	19	i	i	PRON
fumecheng-10469	86	20	=	=	PUNCT
fumecheng-10469	87	1	0,1l	0,1l	NUM
fumecheng-10469	87	2	(	(	PUNCT
fumecheng-10469	87	3	3	3	X
fumecheng-10469	87	4	)	)	PUNCT
fumecheng-10469	87	5	the	the	DET
fumecheng-10469	87	6	generalized	generalized	ADJ
fumecheng-10469	87	7	nonlocal	nonlocal	ADJ
fumecheng-10469	87	8	constitutive	constitutive	ADJ
fumecheng-10469	87	9	relations	relation	NOUN
fumecheng-10469	87	10	based	base	VERB
fumecheng-10469	87	11	on	on	ADP
fumecheng-10469	87	12	the	the	DET
fumecheng-10469	87	13	higher	high	ADJ
fumecheng-10469	87	14	-	-	PUNCT
fumecheng-10469	87	15	order	order	NOUN
fumecheng-10469	87	16	nonlocal	nonlocal	ADJ
fumecheng-10469	87	17	elasticity	elasticity	NOUN
fumecheng-10469	87	18	and	and	CCONJ
fumecheng-10469	87	19	strain	strain	NOUN
fumecheng-10469	87	20	gradient	gradient	NOUN
fumecheng-10469	87	21	theory	theory	NOUN
fumecheng-10469	87	22	take	take	VERB
fumecheng-10469	87	23	the	the	DET
fumecheng-10469	87	24	form	form	NOUN
fumecheng-10469	87	25	:	:	PUNCT
fumecheng-10469	87	26	2	2	NUM
fumecheng-10469	87	27	2	2	NUM
fumecheng-10469	87	28	2	2	NUM
fumecheng-10469	87	29	2	2	NUM
fumecheng-10469	87	30	2	2	NUM
fumecheng-10469	87	31	2	2	NUM
fumecheng-10469	87	32	2	2	NUM
fumecheng-10469	87	33	2	2	NUM
fumecheng-10469	87	34	2	2	NUM
fumecheng-10469	87	35	21	21	NUM
fumecheng-10469	87	36	(	(	PUNCT
fumecheng-10469	87	37	1	1	NUM
fumecheng-10469	87	38	(	(	PUNCT
fumecheng-10469	87	39	1	1	NUM
fumecheng-10469	87	40	(	(	PUNCT
fumecheng-10469	87	41	1	1	NUM
fumecheng-10469	87	42	[	[	NOUN
fumecheng-10469	87	43	)	)	PUNCT
fumecheng-10469	87	44	]	]	X
fumecheng-10469	87	45	[	[	X
fumecheng-10469	87	46	)	)	PUNCT
fumecheng-10469	87	47	]	]	PUNCT
fumecheng-10469	87	48	[	[	PUNCT
fumecheng-10469	87	49	)	)	PUNCT
fumecheng-10469	87	50	]	]	PUNCT
fumecheng-10469	87	51	:	:	PUNCT
fumecheng-10469	87	52	[	[	PUNCT
fumecheng-10469	87	53	)	)	PUNCT
fumecheng-10469	87	54	]	]	PUNCT
fumecheng-10469	87	55	(	(	PUNCT
fumecheng-10469	87	56	:	:	PUNCT
fumecheng-10469	87	57	c	c	X
fumecheng-10469	87	58	c	c	ADJ
fumecheng-10469	87	59			PROPN
fumecheng-10469	87	60	−	−	PRON
fumecheng-10469	87	61			PROPN
fumecheng-10469	87	62	−	−	NOUN
fumecheng-10469	87	63	−	−	NOUN
fumecheng-10469	87	64	−=	−=	NOUN
fumecheng-10469	87	65	−	−	NOUN
fumecheng-10469	87	66			NOUN
fumecheng-10469	87	67	1	1	NOUN
fumecheng-10469	87	68	0	0	NUM
fumecheng-10469	87	69	1	1	NUM
fumecheng-10469	87	70	0e	0e	NOUN
fumecheng-10469	87	71	a	a	DET
fumecheng-10469	87	72	e	e	NOUN
fumecheng-10469	87	73	a	a	DET
fumecheng-10469	87	74	e	e	NOUN
fumecheng-10469	87	75	a	a	X
fumecheng-10469	87	76	e	e	NOUN
fumecheng-10469	87	77	a	a	DET
fumecheng-10469	87	78	(	(	PUNCT
fumecheng-10469	87	79	4	4	NUM
fumecheng-10469	87	80	)	)	PUNCT
fumecheng-10469	87	81	where	where	SCONJ
fumecheng-10469	87	82	∇2	∇2	PROPN
fumecheng-10469	87	83	=	=	SYM
fumecheng-10469	87	84	∂2/∂x2	∂2/∂x2	NOUN
fumecheng-10469	87	85	is	be	AUX
fumecheng-10469	87	86	one	one	NUM
fumecheng-10469	87	87	dimensional	dimensional	ADJ
fumecheng-10469	87	88	differential	differential	NOUN
fumecheng-10469	87	89	operator	operator	NOUN
fumecheng-10469	87	90	.	.	PUNCT
fumecheng-10469	88	1	assuming	assume	VERB
fumecheng-10469	88	2	e0	e0	PROPN
fumecheng-10469	88	3	=	=	SYM
fumecheng-10469	88	4	e1	e1	PROPN
fumecheng-10469	88	5	=	=	PUNCT
fumecheng-10469	88	6	e	e	X
fumecheng-10469	88	7	the	the	DET
fumecheng-10469	88	8	higher	high	ADJ
fumecheng-10469	88	9	-	-	PUNCT
fumecheng-10469	88	10	order	order	NOUN
fumecheng-10469	88	11	constitutive	constitutive	ADJ
fumecheng-10469	88	12	relations	relation	NOUN
fumecheng-10469	88	13	may	may	AUX
fumecheng-10469	88	14	be	be	AUX
fumecheng-10469	88	15	easily	easily	ADV
fumecheng-10469	88	16	reduced	reduce	VERB
fumecheng-10469	88	17	to	to	ADP
fumecheng-10469	88	18	the	the	DET
fumecheng-10469	88	19	lower	low	ADJ
fumecheng-10469	88	20	-	-	PUNCT
fumecheng-10469	88	21	order	order	NOUN
fumecheng-10469	88	22	nonlocal	nonlocal	ADJ
fumecheng-10469	88	23	strain	strain	NOUN
fumecheng-10469	88	24	gradient	gradient	ADJ
fumecheng-10469	88	25	model	model	NOUN
fumecheng-10469	88	26	:	:	PUNCT
fumecheng-10469	88	27	2	2	NUM
fumecheng-10469	88	28	2	2	NUM
fumecheng-10469	88	29	2	2	NUM
fumecheng-10469	88	30	2	2	NUM
fumecheng-10469	88	31	[	[	NOUN
fumecheng-10469	88	32	)	)	PUNCT
fumecheng-10469	88	33	]	]	PUNCT
fumecheng-10469	88	34	(	(	PUNCT
fumecheng-10469	88	35	:1	:1	PUNCT
fumecheng-10469	88	36	[	[	PUNCT
fumecheng-10469	88	37	]	]	X
fumecheng-10469	88	38	1	1	NUM
fumecheng-10469	88	39	c	c	ADJ
fumecheng-10469	88	40	=	=	NOUN
fumecheng-10469	88	41	−	−	PROPN
fumecheng-10469	88	42	−	−	PROPN
fumecheng-10469	88	43	ea	ea	NOUN
fumecheng-10469	88	44	(	(	PUNCT
fumecheng-10469	88	45	5	5	NUM
fumecheng-10469	88	46	)	)	PUNCT
fumecheng-10469	88	47	detection	detection	NOUN
fumecheng-10469	88	48	of	of	ADP
fumecheng-10469	88	49	nonlocal	nonlocal	ADJ
fumecheng-10469	88	50	calibration	calibration	NOUN
fumecheng-10469	88	51	parameters	parameter	NOUN
fumecheng-10469	88	52	and	and	CCONJ
fumecheng-10469	88	53	range	range	NOUN
fumecheng-10469	88	54	interaction	interaction	NOUN
fumecheng-10469	88	55	for	for	ADP
fumecheng-10469	88	56	dynamics	dynamic	NOUN
fumecheng-10469	88	57	of	of	ADP
fumecheng-10469	88	58	fgm	fgm	PROPN
fumecheng-10469	88	59	porous	porous	ADJ
fumecheng-10469	88	60	…	…	PUNCT
fumecheng-10469	88	61	461	461	NUM
fumecheng-10469	88	62	what	what	PRON
fumecheng-10469	88	63	is	be	AUX
fumecheng-10469	88	64	more	more	ADJ
fumecheng-10469	88	65	,	,	PUNCT
fumecheng-10469	88	66	based	base	VERB
fumecheng-10469	88	67	on	on	ADP
fumecheng-10469	88	68	the	the	DET
fumecheng-10469	88	69	present	present	ADJ
fumecheng-10469	88	70	model	model	NOUN
fumecheng-10469	88	71	,	,	PUNCT
fumecheng-10469	88	72	eringen	eringen	PROPN
fumecheng-10469	88	73	’s	’s	PART
fumecheng-10469	88	74	nonlocal	nonlocal	ADJ
fumecheng-10469	88	75	elasticity	elasticity	NOUN
fumecheng-10469	88	76	may	may	AUX
fumecheng-10469	88	77	be	be	AUX
fumecheng-10469	88	78	obtained	obtain	VERB
fumecheng-10469	88	79	assuming	assume	VERB
fumecheng-10469	88	80	ℓ	ℓ	NOUN
fumecheng-10469	88	81	=	=	SYM
fumecheng-10469	88	82	0	0	NUM
fumecheng-10469	88	83	:	:	SYM
fumecheng-10469	88	84	2	2	NUM
fumecheng-10469	88	85	2	2	NUM
fumecheng-10469	88	86	[	[	PUNCT
fumecheng-10469	88	87	)	)	PUNCT
fumecheng-10469	89	1	]	]	SYM
fumecheng-10469	89	2	1	1	NUM
fumecheng-10469	89	3	(	(	PUNCT
fumecheng-10469	89	4	:	:	PUNCT
fumecheng-10469	89	5	c	c	NOUN
fumecheng-10469	89	6			ADJ
fumecheng-10469	89	7	=	=	NOUN
fumecheng-10469	89	8	−	−	PROPN
fumecheng-10469	89	9	ea	ea	NOUN
fumecheng-10469	89	10	(	(	PUNCT
fumecheng-10469	89	11	6	6	NUM
fumecheng-10469	89	12	)	)	PUNCT
fumecheng-10469	89	13	from	from	ADP
fumecheng-10469	89	14	the	the	DET
fumecheng-10469	89	15	other	other	ADJ
fumecheng-10469	89	16	point	point	NOUN
fumecheng-10469	89	17	of	of	ADP
fumecheng-10469	89	18	view	view	NOUN
fumecheng-10469	89	19	,	,	PUNCT
fumecheng-10469	89	20	form	form	NOUN
fumecheng-10469	89	21	of	of	ADP
fumecheng-10469	89	22	mindlin	mindlin	NOUN
fumecheng-10469	89	23	’s	’s	PART
fumecheng-10469	89	24	strain	strain	PROPN
fumecheng-10469	89	25	gradient	gradient	NOUN
fumecheng-10469	89	26	theory	theory	NOUN
fumecheng-10469	89	27	may	may	AUX
fumecheng-10469	89	28	be	be	AUX
fumecheng-10469	89	29	achieved	achieve	VERB
fumecheng-10469	89	30	by	by	ADP
fumecheng-10469	89	31	taking	take	VERB
fumecheng-10469	89	32	ea	ea	X
fumecheng-10469	89	33	=	=	PUNCT
fumecheng-10469	89	34	0	0	NUM
fumecheng-10469	89	35	:	:	SYM
fumecheng-10469	89	36	2	2	NUM
fumecheng-10469	89	37	2	2	NUM
fumecheng-10469	89	38	[	[	PUNCT
fumecheng-10469	89	39	:1	:1	SYM
fumecheng-10469	89	40	]	]	X
fumecheng-10469	89	41	c	c	ADJ
fumecheng-10469	89	42	−=	−=	PROPN
fumecheng-10469	89	43	(	(	PUNCT
fumecheng-10469	89	44	7	7	X
fumecheng-10469	89	45	)	)	PUNCT
fumecheng-10469	89	46	finally	finally	ADV
fumecheng-10469	89	47	,	,	PUNCT
fumecheng-10469	89	48	classical	classical	ADJ
fumecheng-10469	89	49	constitutive	constitutive	ADJ
fumecheng-10469	89	50	relations	relation	NOUN
fumecheng-10469	89	51	may	may	AUX
fumecheng-10469	89	52	be	be	AUX
fumecheng-10469	89	53	obtained	obtain	VERB
fumecheng-10469	89	54	while	while	SCONJ
fumecheng-10469	89	55	both	both	DET
fumecheng-10469	89	56	nonlocal	nonlocal	ADJ
fumecheng-10469	89	57	coefficients	coefficient	NOUN
fumecheng-10469	89	58	are	be	AUX
fumecheng-10469	89	59	assumed	assume	VERB
fumecheng-10469	89	60	to	to	PART
fumecheng-10469	89	61	be	be	AUX
fumecheng-10469	89	62	zero	zero	NUM
fumecheng-10469	89	63	.	.	PUNCT
fumecheng-10469	90	1	3	3	X
fumecheng-10469	90	2	.	.	NOUN
fumecheng-10469	90	3	material	material	NOUN
fumecheng-10469	90	4	properties	property	NOUN
fumecheng-10469	90	5	and	and	CCONJ
fumecheng-10469	90	6	piezoelectric	piezoelectric	ADJ
fumecheng-10469	90	7	effect	effect	NOUN
fumecheng-10469	90	8	3.1	3.1	NUM
fumecheng-10469	90	9	.	.	PUNCT
fumecheng-10469	90	10	three	three	NUM
fumecheng-10469	90	11	-	-	PUNCT
fumecheng-10469	90	12	layered	layer	VERB
fumecheng-10469	90	13	fgm	fgm	PROPN
fumecheng-10469	90	14	nanobeam	nanobeam	NOUN
fumecheng-10469	90	15	in	in	ADP
fumecheng-10469	90	16	the	the	DET
fumecheng-10469	90	17	study	study	NOUN
fumecheng-10469	90	18	we	we	PRON
fumecheng-10469	90	19	consider	consider	VERB
fumecheng-10469	90	20	composite	composite	ADJ
fumecheng-10469	90	21	nanobeam	nanobeam	NOUN
fumecheng-10469	90	22	-	-	PUNCT
fumecheng-10469	90	23	like	like	ADJ
fumecheng-10469	90	24	actuator	actuator	NOUN
fumecheng-10469	90	25	model	model	NOUN
fumecheng-10469	90	26	that	that	PRON
fumecheng-10469	90	27	consists	consist	VERB
fumecheng-10469	90	28	of	of	ADP
fumecheng-10469	90	29	porous	porous	ADJ
fumecheng-10469	90	30	functionally	functionally	ADV
fumecheng-10469	90	31	graded	grade	VERB
fumecheng-10469	90	32	nanobeam	nanobeam	NOUN
fumecheng-10469	90	33	with	with	ADP
fumecheng-10469	90	34	thickness	thickness	NOUN
fumecheng-10469	90	35	h	h	NOUN
fumecheng-10469	90	36	and	and	CCONJ
fumecheng-10469	90	37	piezoelectric	piezoelectric	ADJ
fumecheng-10469	90	38	layers	layer	NOUN
fumecheng-10469	90	39	of	of	ADP
fumecheng-10469	90	40	thicknesses	thickness	NOUN
fumecheng-10469	90	41	hp	hp	VERB
fumecheng-10469	90	42	.	.	PUNCT
fumecheng-10469	91	1	the	the	DET
fumecheng-10469	91	2	total	total	ADJ
fumecheng-10469	91	3	thickness	thickness	NOUN
fumecheng-10469	91	4	of	of	ADP
fumecheng-10469	91	5	the	the	DET
fumecheng-10469	91	6	nanostructure	nanostructure	NOUN
fumecheng-10469	91	7	is	be	AUX
fumecheng-10469	91	8	assumed	assume	VERB
fumecheng-10469	91	9	h	h	NOUN
fumecheng-10469	91	10	=	=	PUNCT
fumecheng-10469	91	11	h	h	PROPN
fumecheng-10469	91	12	+	+	CCONJ
fumecheng-10469	91	13	hp	hp	ADJ
fumecheng-10469	91	14	,	,	PUNCT
fumecheng-10469	91	15	length	length	NOUN
fumecheng-10469	91	16	l	l	NOUN
fumecheng-10469	91	17	and	and	CCONJ
fumecheng-10469	91	18	unit	unit	NOUN
fumecheng-10469	91	19	width	width	PROPN
fumecheng-10469	91	20	b.	b.	PROPN
fumecheng-10469	91	21	between	between	ADP
fumecheng-10469	91	22	fgm	fgm	PROPN
fumecheng-10469	91	23	core	core	NOUN
fumecheng-10469	91	24	and	and	CCONJ
fumecheng-10469	91	25	piezoelectric	piezoelectric	ADJ
fumecheng-10469	91	26	face	face	NOUN
fumecheng-10469	91	27	-	-	PUNCT
fumecheng-10469	91	28	sheets	sheet	NOUN
fumecheng-10469	91	29	it	it	PRON
fumecheng-10469	91	30	is	be	AUX
fumecheng-10469	91	31	presumed	presume	VERB
fumecheng-10469	91	32	ideal	ideal	ADJ
fumecheng-10469	91	33	mechanical	mechanical	ADJ
fumecheng-10469	91	34	contact	contact	NOUN
fumecheng-10469	91	35	.	.	PUNCT
fumecheng-10469	92	1	to	to	PART
fumecheng-10469	92	2	imitate	imitate	VERB
fumecheng-10469	92	3	environment	environment	NOUN
fumecheng-10469	92	4	impact	impact	NOUN
fumecheng-10469	92	5	in	in	ADP
fumecheng-10469	92	6	the	the	DET
fumecheng-10469	92	7	nems	nem	NOUN
fumecheng-10469	92	8	device	device	NOUN
fumecheng-10469	92	9	,	,	PUNCT
fumecheng-10469	92	10	the	the	DET
fumecheng-10469	92	11	nanobeam	nanobeam	NOUN
fumecheng-10469	92	12	is	be	AUX
fumecheng-10469	92	13	subjected	subject	VERB
fumecheng-10469	92	14	to	to	ADP
fumecheng-10469	92	15	an	an	DET
fumecheng-10469	92	16	electrical	electrical	ADJ
fumecheng-10469	92	17	field	field	NOUN
fumecheng-10469	92	18	with	with	ADP
fumecheng-10469	92	19	external	external	ADJ
fumecheng-10469	92	20	voltage	voltage	NOUN
fumecheng-10469	92	21	ϕ0	ϕ0	NOUN
fumecheng-10469	92	22	and	and	CCONJ
fumecheng-10469	92	23	axial	axial	ADJ
fumecheng-10469	92	24	compressive	compressive	ADJ
fumecheng-10469	92	25	/	/	SYM
fumecheng-10469	92	26	tensile	tensile	NOUN
fumecheng-10469	92	27	mechanical	mechanical	ADJ
fumecheng-10469	92	28	in	in	ADP
fumecheng-10469	92	29	-	-	PUNCT
fumecheng-10469	92	30	plane	plane	NOUN
fumecheng-10469	92	31	forces	force	NOUN
fumecheng-10469	92	32	ˆ	ˆ	ADV
fumecheng-10469	92	33	xxn	xxn	PROPN
fumecheng-10469	92	34	.	.	PUNCT
fumecheng-10469	93	1	the	the	DET
fumecheng-10469	93	2	cross	cross	NOUN
fumecheng-10469	93	3	-	-	NOUN
fumecheng-10469	93	4	section	section	NOUN
fumecheng-10469	93	5	and	and	CCONJ
fumecheng-10469	93	6	coordinate	coordinate	NOUN
fumecheng-10469	93	7	system	system	NOUN
fumecheng-10469	93	8	of	of	ADP
fumecheng-10469	93	9	sandwich	sandwich	NOUN
fumecheng-10469	93	10	nanobeam	nanobeam	NOUN
fumecheng-10469	93	11	are	be	AUX
fumecheng-10469	93	12	presented	present	VERB
fumecheng-10469	93	13	in	in	ADP
fumecheng-10469	93	14	fig	fig	NOUN
fumecheng-10469	93	15	.	.	PUNCT
fumecheng-10469	94	1	1	1	X
fumecheng-10469	94	2	.	.	X
fumecheng-10469	94	3	fig	fig	NOUN
fumecheng-10469	94	4	.	.	PUNCT
fumecheng-10469	95	1	1	1	NUM
fumecheng-10469	95	2	three	three	NUM
fumecheng-10469	95	3	-	-	PUNCT
fumecheng-10469	95	4	layered	layer	VERB
fumecheng-10469	95	5	porous	porous	ADJ
fumecheng-10469	95	6	fgm	fgm	PROPN
fumecheng-10469	95	7	nanobeam	nanobeam	NOUN
fumecheng-10469	95	8	as	as	ADP
fumecheng-10469	95	9	a	a	DET
fumecheng-10469	95	10	nanoactuator	nanoactuator	NOUN
fumecheng-10469	95	11	model	model	NOUN
fumecheng-10469	95	12	3.2	3.2	NUM
fumecheng-10469	95	13	.	.	PUNCT
fumecheng-10469	96	1	functionally	functionally	ADV
fumecheng-10469	96	2	graded	grade	VERB
fumecheng-10469	96	3	core	core	ADJ
fumecheng-10469	96	4	elastic	elastic	ADJ
fumecheng-10469	96	5	parameters	parameter	NOUN
fumecheng-10469	96	6	of	of	ADP
fumecheng-10469	96	7	the	the	DET
fumecheng-10469	96	8	functionally	functionally	ADV
fumecheng-10469	96	9	graded	grade	VERB
fumecheng-10469	96	10	porous	porous	ADJ
fumecheng-10469	96	11	nanobeam	nanobeam	NOUN
fumecheng-10469	96	12	core	core	NOUN
fumecheng-10469	96	13	are	be	AUX
fumecheng-10469	96	14	given	give	VERB
fumecheng-10469	96	15	by	by	ADP
fumecheng-10469	96	16	:	:	PUNCT
fumecheng-10469	96	17	(	(	PUNCT
fumecheng-10469	96	18	)	)	PUNCT
fumecheng-10469	96	19	=	=	NOUN
fumecheng-10469	96	20	c	c	NOUN
fumecheng-10469	96	21	e	e	PROPN
fumecheng-10469	96	22	z	z	PROPN
fumecheng-10469	96	23	,	,	PUNCT
fumecheng-10469	96	24	xx	xx	PROPN
fumecheng-10469	96	25	(	(	PUNCT
fumecheng-10469	96	26	8a	8a	NUM
fumecheng-10469	96	27	)	)	PUNCT
fumecheng-10469	96	28	(	(	PUNCT
fumecheng-10469	96	29	,	,	PUNCT
fumecheng-10469	96	30	)	)	PUNCT
fumecheng-10469	96	31	2(1	2(1	NUM
fumecheng-10469	96	32	)	)	PUNCT
fumecheng-10469	96	33			NUM
fumecheng-10469	96	34			PUNCT
fumecheng-10469	96	35	=	=	PUNCT
fumecheng-10469	97	1	+	+	NUM
fumecheng-10469	97	2	e	e	X
fumecheng-10469	97	3	z	z	PROPN
fumecheng-10469	97	4	c	c	PROPN
fumecheng-10469	97	5	xz	xz	PROPN
fumecheng-10469	97	6	(	(	PUNCT
fumecheng-10469	97	7	8b	8b	NUM
fumecheng-10469	97	8	)	)	PUNCT
fumecheng-10469	97	9	462	462	NUM
fumecheng-10469	97	10	p.	p.	NOUN
fumecheng-10469	97	11	jankowski	jankowski	PROPN
fumecheng-10469	97	12	e(z,ϒ	e(z,ϒ	PROPN
fumecheng-10469	97	13	)	)	PUNCT
fumecheng-10469	97	14	stands	stand	VERB
fumecheng-10469	97	15	for	for	ADP
fumecheng-10469	97	16	young	young	ADJ
fumecheng-10469	97	17	’s	’s	PART
fumecheng-10469	97	18	modulus	modulus	NOUN
fumecheng-10469	97	19	of	of	ADP
fumecheng-10469	97	20	nanobeam	nanobeam	NOUN
fumecheng-10469	97	21	core	core	NOUN
fumecheng-10469	97	22	and	and	CCONJ
fumecheng-10469	97	23	ϒ(z,ϑ	ϒ(z,ϑ	NUM
fumecheng-10469	97	24	)	)	PUNCT
fumecheng-10469	97	25	is	be	AUX
fumecheng-10469	97	26	porosity	porosity	NOUN
fumecheng-10469	97	27	distribution	distribution	NOUN
fumecheng-10469	97	28	function	function	NOUN
fumecheng-10469	97	29	.	.	PUNCT
fumecheng-10469	98	1	young	young	ADJ
fumecheng-10469	98	2	’s	’s	PART
fumecheng-10469	98	3	modulus	modulus	NOUN
fumecheng-10469	98	4	,	,	PUNCT
fumecheng-10469	98	5	as	as	ADV
fumecheng-10469	98	6	well	well	ADV
fumecheng-10469	98	7	as	as	ADP
fumecheng-10469	98	8	an	an	DET
fumecheng-10469	98	9	fg	fg	ADJ
fumecheng-10469	98	10	porous	porous	ADJ
fumecheng-10469	98	11	structure	structure	NOUN
fumecheng-10469	98	12	mass	mass	NOUN
fumecheng-10469	98	13	density	density	NOUN
fumecheng-10469	98	14	ρ(z,ϑ	ρ(z,ϑ	NOUN
fumecheng-10469	98	15	)	)	PUNCT
fumecheng-10469	98	16	,	,	PUNCT
fumecheng-10469	98	17	vary	vary	VERB
fumecheng-10469	98	18	in	in	ADP
fumecheng-10469	98	19	the	the	DET
fumecheng-10469	98	20	thickness	thickness	NOUN
fumecheng-10469	98	21	direction	direction	NOUN
fumecheng-10469	98	22	according	accord	VERB
fumecheng-10469	98	23	to	to	ADP
fumecheng-10469	98	24	the	the	DET
fumecheng-10469	98	25	power	power	NOUN
fumecheng-10469	98	26	-	-	PUNCT
fumecheng-10469	98	27	law	law	NOUN
fumecheng-10469	98	28	distribution	distribution	NOUN
fumecheng-10469	98	29	.	.	PUNCT
fumecheng-10469	99	1	in	in	ADP
fumecheng-10469	99	2	the	the	DET
fumecheng-10469	99	3	study	study	NOUN
fumecheng-10469	99	4	,	,	PUNCT
fumecheng-10469	99	5	poisson	poisson	PROPN
fumecheng-10469	99	6	’s	’s	PART
fumecheng-10469	99	7	ratio	ratio	NOUN
fumecheng-10469	99	8	υ	υ	PROPN
fumecheng-10469	99	9	is	be	AUX
fumecheng-10469	99	10	assumed	assume	VERB
fumecheng-10469	99	11	to	to	PART
fumecheng-10469	99	12	be	be	AUX
fumecheng-10469	99	13	constant	constant	ADJ
fumecheng-10469	99	14	since	since	SCONJ
fumecheng-10469	99	15	its	its	PRON
fumecheng-10469	99	16	low	low	ADJ
fumecheng-10469	99	17	volatility	volatility	NOUN
fumecheng-10469	99	18	has	have	VERB
fumecheng-10469	99	19	negligible	negligible	ADJ
fumecheng-10469	99	20	influence	influence	NOUN
fumecheng-10469	99	21	on	on	ADP
fumecheng-10469	99	22	mechanical	mechanical	ADJ
fumecheng-10469	99	23	behavior	behavior	NOUN
fumecheng-10469	99	24	of	of	ADP
fumecheng-10469	99	25	the	the	DET
fumecheng-10469	99	26	structure	structure	NOUN
fumecheng-10469	99	27	.	.	PUNCT
fumecheng-10469	100	1	properties	property	NOUN
fumecheng-10469	100	2	of	of	ADP
fumecheng-10469	100	3	functionally	functionally	ADV
fumecheng-10469	100	4	graded	grade	VERB
fumecheng-10469	100	5	core	core	NOUN
fumecheng-10469	100	6	are	be	AUX
fumecheng-10469	100	7	symmetric	symmetric	ADJ
fumecheng-10469	100	8	with	with	ADP
fumecheng-10469	100	9	respect	respect	NOUN
fumecheng-10469	100	10	to	to	ADP
fumecheng-10469	100	11	the	the	DET
fumecheng-10469	100	12	midplane	midplane	NOUN
fumecheng-10469	100	13	,	,	PUNCT
fumecheng-10469	100	14	and	and	CCONJ
fumecheng-10469	100	15	presented	present	VERB
fumecheng-10469	100	16	as	as	ADP
fumecheng-10469	100	17	:	:	PUNCT
fumecheng-10469	100	18	(	(	PUNCT
fumecheng-10469	100	19	)	)	PUNCT
fumecheng-10469	100	20	[	[	PUNCT
fumecheng-10469	100	21	]	]	X
fumecheng-10469	100	22	[	[	X
fumecheng-10469	100	23	1	1	NUM
fumecheng-10469	100	24	(	(	PUNCT
fumecheng-10469	100	25	,	,	PUNCT
fumecheng-10469	100	26	)	)	PUNCT
fumecheng-10469	100	27	]	]	PUNCT
fumecheng-10469	100	28			PROPN
fumecheng-10469	100	29	=	=	SYM
fumecheng-10469	100	30	−(n	−(n	NOUN
fumecheng-10469	100	31	)	)	PUNCT
fumecheng-10469	100	32	c	c	NOUN
fumecheng-10469	100	33	m	m	VERB
fumecheng-10469	100	34	me	i	PRON
fumecheng-10469	100	35	z	z	NOUN
fumecheng-10469	100	36	,	,	PUNCT
fumecheng-10469	100	37	(	(	PUNCT
fumecheng-10469	100	38	e	e	X
fumecheng-10469	100	39	e	e	NOUN
fumecheng-10469	100	40	)	)	PUNCT
fumecheng-10469	100	41	v	v	NOUN
fumecheng-10469	100	42	(	(	PUNCT
fumecheng-10469	100	43	z	z	NOUN
fumecheng-10469	100	44	,	,	PUNCT
fumecheng-10469	100	45	g)+e	g)+e	PROPN
fumecheng-10469	100	46	z	z	PROPN
fumecheng-10469	100	47	(	(	PUNCT
fumecheng-10469	100	48	9a	9a	NUM
fumecheng-10469	100	49	)	)	PUNCT
fumecheng-10469	100	50	(	(	PUNCT
fumecheng-10469	100	51	)	)	PUNCT
fumecheng-10469	101	1	[	[	PUNCT
fumecheng-10469	101	2	]	]	X
fumecheng-10469	101	3	[	[	X
fumecheng-10469	101	4	1	1	NUM
fumecheng-10469	101	5	(	(	PUNCT
fumecheng-10469	101	6	,	,	PUNCT
fumecheng-10469	101	7	)	)	PUNCT
fumecheng-10469	101	8	]	]	PUNCT
fumecheng-10469	101	9			ADP
fumecheng-10469	101	10			X
fumecheng-10469	101	11			X
fumecheng-10469	101	12			X
fumecheng-10469	101	13			PROPN
fumecheng-10469	101	14	=	=	SYM
fumecheng-10469	101	15	−(n	−(n	NOUN
fumecheng-10469	101	16	)	)	PUNCT
fumecheng-10469	101	17	c	c	PROPN
fumecheng-10469	101	18	m	m	VERB
fumecheng-10469	101	19	mz	mz	PROPN
fumecheng-10469	101	20	,	,	PUNCT
fumecheng-10469	101	21	(	(	PUNCT
fumecheng-10469	101	22	)	)	PUNCT
fumecheng-10469	101	23	v	v	NOUN
fumecheng-10469	101	24	(	(	PUNCT
fumecheng-10469	101	25	z	z	NOUN
fumecheng-10469	101	26	,	,	PUNCT
fumecheng-10469	101	27	g)+	g)+	ADJ
fumecheng-10469	101	28	z	z	NOUN
fumecheng-10469	101	29	(	(	PUNCT
fumecheng-10469	101	30	9b	9b	NUM
fumecheng-10469	101	31	)	)	PUNCT
fumecheng-10469	101	32	components	component	NOUN
fumecheng-10469	101	33	of	of	ADP
fumecheng-10469	101	34	the	the	DET
fumecheng-10469	101	35	functionally	functionally	ADV
fumecheng-10469	101	36	graded	grade	VERB
fumecheng-10469	101	37	material	material	NOUN
fumecheng-10469	101	38	generally	generally	ADV
fumecheng-10469	101	39	consist	consist	VERB
fumecheng-10469	101	40	of	of	ADP
fumecheng-10469	101	41	ceramic	ceramic	ADJ
fumecheng-10469	101	42	(	(	PUNCT
fumecheng-10469	101	43	ec	ec	PROPN
fumecheng-10469	101	44	,	,	PUNCT
fumecheng-10469	101	45	ρc	ρc	PROPN
fumecheng-10469	101	46	)	)	PUNCT
fumecheng-10469	101	47	and	and	CCONJ
fumecheng-10469	101	48	metallic	metallic	ADJ
fumecheng-10469	101	49	(	(	PUNCT
fumecheng-10469	101	50	em	em	PRON
fumecheng-10469	101	51	,	,	PUNCT
fumecheng-10469	101	52	ρm	ρm	NOUN
fumecheng-10469	101	53	)	)	PUNCT
fumecheng-10469	101	54	parts	part	NOUN
fumecheng-10469	101	55	but	but	CCONJ
fumecheng-10469	101	56	can	can	AUX
fumecheng-10469	101	57	be	be	AUX
fumecheng-10469	101	58	replaced	replace	VERB
fumecheng-10469	101	59	by	by	ADP
fumecheng-10469	101	60	other	other	ADJ
fumecheng-10469	101	61	materials	material	NOUN
fumecheng-10469	101	62	/	/	SYM
fumecheng-10469	101	63	nanomaterials	nanomaterial	NOUN
fumecheng-10469	101	64	with	with	ADP
fumecheng-10469	101	65	wellknown	wellknown	ADJ
fumecheng-10469	101	66	experimental	experimental	ADJ
fumecheng-10469	101	67	values	value	NOUN
fumecheng-10469	101	68	of	of	ADP
fumecheng-10469	101	69	elastic	elastic	ADJ
fumecheng-10469	101	70	/	/	SYM
fumecheng-10469	101	71	physical	physical	ADJ
fumecheng-10469	101	72	parameters	parameter	NOUN
fumecheng-10469	101	73	.	.	PUNCT
fumecheng-10469	102	1	properties	property	NOUN
fumecheng-10469	102	2	of	of	ADP
fumecheng-10469	102	3	functionally	functionally	ADV
fumecheng-10469	102	4	graded	grade	VERB
fumecheng-10469	102	5	core	core	NOUN
fumecheng-10469	102	6	are	be	AUX
fumecheng-10469	102	7	assumed	assume	VERB
fumecheng-10469	102	8	to	to	PART
fumecheng-10469	102	9	be	be	AUX
fumecheng-10469	102	10	symmetric	symmetric	ADJ
fumecheng-10469	102	11	with	with	ADP
fumecheng-10469	102	12	respect	respect	NOUN
fumecheng-10469	102	13	to	to	ADP
fumecheng-10469	102	14	the	the	DET
fumecheng-10469	102	15	midplane	midplane	NOUN
fumecheng-10469	102	16	.	.	PUNCT
fumecheng-10469	103	1	the	the	DET
fumecheng-10469	103	2	volume	volume	NOUN
fumecheng-10469	103	3	fraction	fraction	NOUN
fumecheng-10469	103	4	function	function	NOUN
fumecheng-10469	103	5	v(n	v(n	NOUN
fumecheng-10469	103	6	)	)	PUNCT
fumecheng-10469	103	7	controls	control	VERB
fumecheng-10469	103	8	volatility	volatility	NOUN
fumecheng-10469	103	9	of	of	ADP
fumecheng-10469	103	10	material	material	ADJ
fumecheng-10469	103	11	distribution	distribution	NOUN
fumecheng-10469	103	12	through	through	ADP
fumecheng-10469	103	13	the	the	DET
fumecheng-10469	103	14	nanobeam	nanobeam	ADJ
fumecheng-10469	103	15	core	core	NOUN
fumecheng-10469	103	16	thickness	thickness	NOUN
fumecheng-10469	103	17	,	,	PUNCT
fumecheng-10469	103	18	and	and	CCONJ
fumecheng-10469	103	19	is	be	AUX
fumecheng-10469	103	20	described	describe	VERB
fumecheng-10469	103	21	as	as	ADP
fumecheng-10469	103	22	follows	follow	VERB
fumecheng-10469	103	23	:	:	PUNCT
fumecheng-10469	103	24	,	,	PUNCT
fumecheng-10469	103	25	0	0	NUM
fumecheng-10469	103	26	2	2	NUM
fumecheng-10469	103	27			NOUN
fumecheng-10469	103	28			NOUN
fumecheng-10469	103	29			PROPN
fumecheng-10469	103	30			PROPN
fumecheng-10469	104	1	=	=	PUNCT
fumecheng-10469	105	1			PROPN
fumecheng-10469	105	2	−	−	PROPN
fumecheng-10469	106	1			PROPN
fumecheng-10469	106	2			PROPN
fumecheng-10469	106	3			NOUN
fumecheng-10469	107	1			PROPN
fumecheng-10469	107	2			ADJ
fumecheng-10469	107	3			PROPN
fumecheng-10469	107	4	g	g	NOUN
fumecheng-10469	107	5	(	(	PUNCT
fumecheng-10469	107	6	1	1	NUM
fumecheng-10469	107	7	)	)	PUNCT
fumecheng-10469	107	8	h	h	NOUN
fumecheng-10469	107	9	z	z	NOUN
fumecheng-10469	107	10	+	+	NUM
fumecheng-10469	107	11	h2v	h2v	NOUN
fumecheng-10469	107	12	for	for	ADP
fumecheng-10469	107	13	z	z	NOUN
fumecheng-10469	107	14	h	h	NOUN
fumecheng-10469	107	15	2	2	NUM
fumecheng-10469	107	16	(	(	PUNCT
fumecheng-10469	107	17	10a	10a	NUM
fumecheng-10469	107	18	)	)	PUNCT
fumecheng-10469	107	19	0	0	NUM
fumecheng-10469	107	20	,	,	PUNCT
fumecheng-10469	107	21	,	,	PUNCT
fumecheng-10469	107	22	2	2	NUM
fumecheng-10469	107	23	g	g	NOUN
fumecheng-10469	107	24	(	(	PUNCT
fumecheng-10469	107	25	2	2	NUM
fumecheng-10469	107	26	)	)	PUNCT
fumecheng-10469	107	27	h	h	NOUN
fumecheng-10469	107	28	z	z	NOUN
fumecheng-10469	107	29	h2v	h2v	NOUN
fumecheng-10469	107	30	for	for	ADP
fumecheng-10469	107	31	z	z	NOUN
fumecheng-10469	107	32	h	h	NOUN
fumecheng-10469	107	33	2	2	NUM
fumecheng-10469	107	34			NOUN
fumecheng-10469	107	35			NOUN
fumecheng-10469	107	36	−	−	PROPN
fumecheng-10469	107	37			PROPN
fumecheng-10469	108	1	=	=	PUNCT
fumecheng-10469	109	1			PROPN
fumecheng-10469	109	2			PROPN
fumecheng-10469	109	3			PROPN
fumecheng-10469	109	4	−	−	NOUN
fumecheng-10469	109	5			PRON
fumecheng-10469	109	6			PROPN
fumecheng-10469	109	7			NOUN
fumecheng-10469	109	8	(	(	PUNCT
fumecheng-10469	109	9	10b	10b	NOUN
fumecheng-10469	109	10	)	)	PUNCT
fumecheng-10469	109	11	where	where	SCONJ
fumecheng-10469	109	12	g	g	PROPN
fumecheng-10469	109	13	is	be	AUX
fumecheng-10469	109	14	the	the	DET
fumecheng-10469	109	15	power	power	NOUN
fumecheng-10469	109	16	-	-	PUNCT
fumecheng-10469	109	17	law	law	NOUN
fumecheng-10469	109	18	index	index	NOUN
fumecheng-10469	109	19	.	.	PUNCT
fumecheng-10469	110	1	in	in	ADP
fumecheng-10469	110	2	the	the	DET
fumecheng-10469	110	3	investigation	investigation	NOUN
fumecheng-10469	110	4	,	,	PUNCT
fumecheng-10469	110	5	we	we	PRON
fumecheng-10469	110	6	consider	consider	VERB
fumecheng-10469	110	7	three	three	NUM
fumecheng-10469	110	8	diverse	diverse	ADJ
fumecheng-10469	110	9	symmetric	symmetric	NOUN
fumecheng-10469	110	10	to	to	ADP
fumecheng-10469	110	11	the	the	DET
fumecheng-10469	110	12	midplane	midplane	NOUN
fumecheng-10469	110	13	porosity	porosity	NOUN
fumecheng-10469	110	14	distributions	distribution	NOUN
fumecheng-10469	110	15	:	:	PUNCT
fumecheng-10469	110	16	(	(	PUNCT
fumecheng-10469	110	17	,	,	PUNCT
fumecheng-10469	110	18	)	)	PUNCT
fumecheng-10469	111	1	cos	cos	ADP
fumecheng-10469	111	2			PROPN
fumecheng-10469	111	3			NOUN
fumecheng-10469	111	4			NOUN
fumecheng-10469	111	5			PUNCT
fumecheng-10469	111	6	=	=	SYM
fumecheng-10469	111	7			PROPN
fumecheng-10469	111	8			PROPN
fumecheng-10469	112	1			PROPN
fumecheng-10469	112	2			NOUN
fumecheng-10469	112	3	πz	πz	PRON
fumecheng-10469	112	4	type	type	NOUN
fumecheng-10469	112	5	1	1	NUM
fumecheng-10469	112	6	:	:	PUNCT
fumecheng-10469	112	7	z	z	NOUN
fumecheng-10469	112	8	h	h	NOUN
fumecheng-10469	112	9	(	(	PUNCT
fumecheng-10469	112	10	11a	11a	NUM
fumecheng-10469	112	11	)	)	PUNCT
fumecheng-10469	112	12	1	1	NUM
fumecheng-10469	112	13	cos	co	NOUN
fumecheng-10469	112	14	,	,	PUNCT
fumecheng-10469	112	15	0	0	NUM
fumecheng-10469	112	16	2	2	NUM
fumecheng-10469	112	17	2	2	NUM
fumecheng-10469	112	18	(	(	PUNCT
fumecheng-10469	112	19	,	,	PUNCT
fumecheng-10469	112	20	)	)	PUNCT
fumecheng-10469	112	21	1	1	NUM
fumecheng-10469	112	22	cos	cos	PROPN
fumecheng-10469	112	23	0	0	NUM
fumecheng-10469	112	24	,	,	PUNCT
fumecheng-10469	112	25	,	,	PUNCT
fumecheng-10469	112	26	2	2	NUM
fumecheng-10469	112	27	2	2	NUM
fumecheng-10469	112	28			NOUN
fumecheng-10469	112	29			PROPN
fumecheng-10469	112	30			PROPN
fumecheng-10469	112	31			ADP
fumecheng-10469	113	1			PROPN
fumecheng-10469	113	2			PROPN
fumecheng-10469	113	3			PROPN
fumecheng-10469	113	4	+	+	CCONJ
fumecheng-10469	113	5			NOUN
fumecheng-10469	113	6	−	−	VERB
fumecheng-10469	113	7			PROPN
fumecheng-10469	113	8			ADJ
fumecheng-10469	113	9			PROPN
fumecheng-10469	114	1			ADJ
fumecheng-10469	114	2			VERB
fumecheng-10469	114	3			X
fumecheng-10469	114	4			PROPN
fumecheng-10469	114	5			PUNCT
fumecheng-10469	114	6	=	=	PUNCT
fumecheng-10469	114	7			NUM
fumecheng-10469	114	8			PROPN
fumecheng-10469	114	9			PROPN
fumecheng-10469	114	10			PUNCT
fumecheng-10469	114	11	−	−	PROPN
fumecheng-10469	114	12			PROPN
fumecheng-10469	114	13			PROPN
fumecheng-10469	114	14			X
fumecheng-10469	115	1			PROPN
fumecheng-10469	115	2			PUNCT
fumecheng-10469	115	3			NOUN
fumecheng-10469	115	4	2z	2z	NUM
fumecheng-10469	115	5	h	h	NOUN
fumecheng-10469	115	6	π	π	NOUN
fumecheng-10469	115	7	for	for	ADP
fumecheng-10469	115	8	z	z	NOUN
fumecheng-10469	115	9	h	h	NOUN
fumecheng-10469	115	10	type	type	NOUN
fumecheng-10469	115	11	2	2	NUM
fumecheng-10469	115	12	:	:	PUNCT
fumecheng-10469	115	13	z	z	NOUN
fumecheng-10469	115	14	2z	2z	NUM
fumecheng-10469	115	15	h	h	NOUN
fumecheng-10469	115	16	π	π	X
fumecheng-10469	115	17	for	for	ADP
fumecheng-10469	115	18	z	z	PROPN
fumecheng-10469	115	19	h	h	PROPN
fumecheng-10469	115	20	(	(	PUNCT
fumecheng-10469	115	21	11a	11a	NUM
fumecheng-10469	115	22	)	)	PUNCT
fumecheng-10469	115	23	1	1	NUM
fumecheng-10469	115	24	cos	co	NOUN
fumecheng-10469	115	25	,	,	PUNCT
fumecheng-10469	115	26	0	0	NUM
fumecheng-10469	115	27	2	2	NUM
fumecheng-10469	115	28	2	2	NUM
fumecheng-10469	115	29	(	(	PUNCT
fumecheng-10469	115	30	,	,	PUNCT
fumecheng-10469	115	31	)	)	PUNCT
fumecheng-10469	115	32	1	1	NUM
fumecheng-10469	115	33	cos	cos	PROPN
fumecheng-10469	115	34	0	0	NUM
fumecheng-10469	115	35	,	,	PUNCT
fumecheng-10469	115	36	,	,	PUNCT
fumecheng-10469	115	37	2	2	NUM
fumecheng-10469	115	38	2	2	NUM
fumecheng-10469	115	39			NOUN
fumecheng-10469	115	40			PROPN
fumecheng-10469	115	41			PROPN
fumecheng-10469	115	42			ADP
fumecheng-10469	116	1			PROPN
fumecheng-10469	116	2			PROPN
fumecheng-10469	116	3			PROPN
fumecheng-10469	116	4	+	+	CCONJ
fumecheng-10469	116	5			NOUN
fumecheng-10469	116	6	−	−	VERB
fumecheng-10469	116	7			PROPN
fumecheng-10469	116	8			ADJ
fumecheng-10469	116	9			PROPN
fumecheng-10469	117	1			ADJ
fumecheng-10469	117	2			VERB
fumecheng-10469	117	3			X
fumecheng-10469	117	4			PROPN
fumecheng-10469	117	5			PUNCT
fumecheng-10469	117	6	=	=	PUNCT
fumecheng-10469	117	7			NUM
fumecheng-10469	117	8			PROPN
fumecheng-10469	117	9			PROPN
fumecheng-10469	117	10			PUNCT
fumecheng-10469	117	11	−	−	PROPN
fumecheng-10469	117	12			PROPN
fumecheng-10469	117	13			PROPN
fumecheng-10469	117	14			X
fumecheng-10469	118	1			PROPN
fumecheng-10469	118	2			PUNCT
fumecheng-10469	118	3			NOUN
fumecheng-10469	118	4	z	z	NOUN
fumecheng-10469	118	5	h	h	NOUN
fumecheng-10469	118	6	π	π	PROPN
fumecheng-10469	118	7	for	for	ADP
fumecheng-10469	118	8	z	z	NOUN
fumecheng-10469	118	9	h	h	NOUN
fumecheng-10469	118	10	type	type	NOUN
fumecheng-10469	118	11	3	3	NUM
fumecheng-10469	118	12	:	:	PUNCT
fumecheng-10469	118	13	z	z	NOUN
fumecheng-10469	118	14	z	z	NOUN
fumecheng-10469	118	15	h	h	NOUN
fumecheng-10469	118	16	π	π	PROPN
fumecheng-10469	118	17	for	for	ADP
fumecheng-10469	118	18	z	z	PROPN
fumecheng-10469	118	19	h	h	PROPN
fumecheng-10469	118	20	(	(	PUNCT
fumecheng-10469	118	21	11a	11a	NOUN
fumecheng-10469	118	22	)	)	PUNCT
fumecheng-10469	118	23	detection	detection	NOUN
fumecheng-10469	118	24	of	of	ADP
fumecheng-10469	118	25	nonlocal	nonlocal	ADJ
fumecheng-10469	118	26	calibration	calibration	NOUN
fumecheng-10469	118	27	parameters	parameter	NOUN
fumecheng-10469	118	28	and	and	CCONJ
fumecheng-10469	118	29	range	range	NOUN
fumecheng-10469	118	30	interaction	interaction	NOUN
fumecheng-10469	118	31	for	for	ADP
fumecheng-10469	118	32	dynamics	dynamic	NOUN
fumecheng-10469	118	33	of	of	ADP
fumecheng-10469	118	34	fgm	fgm	PROPN
fumecheng-10469	118	35	porous	porous	ADJ
fumecheng-10469	118	36	…	…	PUNCT
fumecheng-10469	118	37	463	463	NUM
fumecheng-10469	118	38	where	where	SCONJ
fumecheng-10469	118	39	ϑ	ϑ	PROPN
fumecheng-10469	118	40	refers	refer	VERB
fumecheng-10469	118	41	to	to	PART
fumecheng-10469	118	42	averaged	average	VERB
fumecheng-10469	118	43	volume	volume	NOUN
fumecheng-10469	118	44	of	of	ADP
fumecheng-10469	118	45	voids	voids	NOUN
fumecheng-10469	118	46	in	in	ADP
fumecheng-10469	118	47	the	the	DET
fumecheng-10469	118	48	structure	structure	NOUN
fumecheng-10469	118	49	called	call	VERB
fumecheng-10469	118	50	porosity	porosity	NOUN
fumecheng-10469	118	51	coefficient	coefficient	NOUN
fumecheng-10469	118	52	.	.	PUNCT
fumecheng-10469	119	1	distributions	distribution	NOUN
fumecheng-10469	119	2	as	as	ADV
fumecheng-10469	119	3	well	well	ADV
fumecheng-10469	119	4	as	as	ADP
fumecheng-10469	119	5	volume	volume	NOUN
fumecheng-10469	119	6	of	of	ADP
fumecheng-10469	119	7	voids	voids	NOUN
fumecheng-10469	119	8	,	,	PUNCT
fumecheng-10469	119	9	together	together	ADV
fumecheng-10469	119	10	with	with	ADP
fumecheng-10469	119	11	variation	variation	NOUN
fumecheng-10469	119	12	of	of	ADP
fumecheng-10469	119	13	volume	volume	NOUN
fumecheng-10469	119	14	fraction	fraction	NOUN
fumecheng-10469	119	15	function	function	NOUN
fumecheng-10469	119	16	are	be	AUX
fumecheng-10469	119	17	shown	show	VERB
fumecheng-10469	119	18	in	in	ADP
fumecheng-10469	119	19	fig	fig	NOUN
fumecheng-10469	119	20	.	.	PUNCT
fumecheng-10469	120	1	2	2	X
fumecheng-10469	120	2	.	.	X
fumecheng-10469	120	3	a	a	DET
fumecheng-10469	120	4	)	)	PUNCT
fumecheng-10469	120	5	b	b	NOUN
fumecheng-10469	120	6	)	)	PUNCT
fumecheng-10469	120	7	fig	fig	NOUN
fumecheng-10469	120	8	.	.	PUNCT
fumecheng-10469	121	1	2	2	NUM
fumecheng-10469	121	2	material	material	NOUN
fumecheng-10469	121	3	variation	variation	NOUN
fumecheng-10469	121	4	in	in	ADP
fumecheng-10469	121	5	functionally	functionally	ADV
fumecheng-10469	121	6	graded	grade	VERB
fumecheng-10469	121	7	nanobeam	nanobeam	NOUN
fumecheng-10469	121	8	core	core	NOUN
fumecheng-10469	121	9	:	:	PUNCT
fumecheng-10469	121	10	a	a	X
fumecheng-10469	121	11	)	)	PUNCT
fumecheng-10469	121	12	porosity	porosity	NOUN
fumecheng-10469	121	13	distribution	distribution	NOUN
fumecheng-10469	121	14	and	and	CCONJ
fumecheng-10469	121	15	accumulation	accumulation	NOUN
fumecheng-10469	121	16	;	;	PUNCT
fumecheng-10469	121	17	b	b	X
fumecheng-10469	121	18	)	)	PUNCT
fumecheng-10469	121	19	volume	volume	NOUN
fumecheng-10469	121	20	fraction	fraction	NOUN
fumecheng-10469	121	21	function	function	VERB
fumecheng-10469	121	22	3.3	3.3	NUM
fumecheng-10469	121	23	.	.	PUNCT
fumecheng-10469	122	1	piezoelectric	piezoelectric	NOUN
fumecheng-10469	122	2	relations	relation	NOUN
fumecheng-10469	122	3	the	the	DET
fumecheng-10469	122	4	studied	study	VERB
fumecheng-10469	122	5	nanobeam	nanobeam	NOUN
fumecheng-10469	122	6	is	be	AUX
fumecheng-10469	122	7	subjected	subject	VERB
fumecheng-10469	122	8	to	to	ADP
fumecheng-10469	122	9	an	an	DET
fumecheng-10469	122	10	electric	electric	ADJ
fumecheng-10469	122	11	field	field	NOUN
fumecheng-10469	122	12	.	.	PUNCT
fumecheng-10469	123	1	electric	electric	ADJ
fumecheng-10469	123	2	potential	potential	ADJ
fumecheng-10469	123	3			PROPN
fumecheng-10469	123	4	is	be	AUX
fumecheng-10469	123	5	presented	present	VERB
fumecheng-10469	123	6	as	as	ADP
fumecheng-10469	123	7	approximated	approximate	VERB
fumecheng-10469	123	8	combination	combination	NOUN
fumecheng-10469	123	9	of	of	ADP
fumecheng-10469	123	10	half	half	ADJ
fumecheng-10469	123	11	-	-	PUNCT
fumecheng-10469	123	12	cosine	cosine	NOUN
fumecheng-10469	123	13	and	and	CCONJ
fumecheng-10469	123	14	linear	linear	ADJ
fumecheng-10469	123	15	variation	variation	NOUN
fumecheng-10469	123	16	[	[	X
fumecheng-10469	123	17	67	67	NUM
fumecheng-10469	123	18	]	]	X
fumecheng-10469	123	19	satisfying	satisfy	VERB
fumecheng-10469	123	20	maxwell	maxwell	PROPN
fumecheng-10469	123	21	relations	relation	NOUN
fumecheng-10469	123	22	:	:	PUNCT
fumecheng-10469	123	23	0	0	NUM
fumecheng-10469	123	24	(	(	PUNCT
fumecheng-10469	123	25	)	)	PUNCT
fumecheng-10469	123	26	cos	cos	PROPN
fumecheng-10469	123	27	(	(	PUNCT
fumecheng-10469	123	28	)	)	PUNCT
fumecheng-10469	124	1	p	p	X
fumecheng-10469	124	2	p	p	X
fumecheng-10469	124	3	p	p	X
fumecheng-10469	124	4	p	p	X
fumecheng-10469	124	5	πz	πz	PUNCT
fumecheng-10469	124	6	2z	2z	NUM
fumecheng-10469	124	7	x	x	NOUN
fumecheng-10469	124	8	,	,	PUNCT
fumecheng-10469	124	9	z	z	PROPN
fumecheng-10469	124	10	,	,	PUNCT
fumecheng-10469	124	11	t	t	PROPN
fumecheng-10469	124	12	x	x	PROPN
fumecheng-10469	124	13	,	,	PUNCT
fumecheng-10469	124	14	t	t	PROPN
fumecheng-10469	124	15	h	h	NOUN
fumecheng-10469	124	16	h	h	PROPN
fumecheng-10469	124	17			NOUN
fumecheng-10469	124	18			NOUN
fumecheng-10469	124	19			NOUN
fumecheng-10469	124	20			PROPN
fumecheng-10469	124	21	=	=	PUNCT
fumecheng-10469	125	1	−	−	PROPN
fumecheng-10469	125	2			PROPN
fumecheng-10469	126	1	+	+	NOUN
fumecheng-10469	126	2			PROPN
fumecheng-10469	127	1			PROPN
fumecheng-10469	128	1			PROPN
fumecheng-10469	128	2			PROPN
fumecheng-10469	129	1			PROPN
fumecheng-10469	129	2			NOUN
fumecheng-10469	129	3	(	(	PUNCT
fumecheng-10469	129	4	12	12	NUM
fumecheng-10469	129	5	)	)	PUNCT
fumecheng-10469	129	6	where	where	SCONJ
fumecheng-10469	129	7	zp	zp	PROPN
fumecheng-10469	129	8	stands	stand	VERB
fumecheng-10469	129	9	for	for	ADP
fumecheng-10469	129	10	variable	variable	NOUN
fumecheng-10469	129	11	that	that	PRON
fumecheng-10469	129	12	is	be	AUX
fumecheng-10469	129	13	measured	measure	VERB
fumecheng-10469	129	14	from	from	ADP
fumecheng-10469	129	15	the	the	DET
fumecheng-10469	129	16	geometrical	geometrical	ADJ
fumecheng-10469	129	17	center	center	NOUN
fumecheng-10469	129	18	of	of	ADP
fumecheng-10469	129	19	the	the	DET
fumecheng-10469	129	20	piezoelectric	piezoelectric	ADJ
fumecheng-10469	129	21	layers	layer	NOUN
fumecheng-10469	129	22	,	,	PUNCT
fumecheng-10469	129	23	z1	z1	NOUN
fumecheng-10469	129	24	=	=	SYM
fumecheng-10469	129	25	z	z	PROPN
fumecheng-10469	129	26	-	-	PUNCT
fumecheng-10469	129	27	h/2	h/2	X
fumecheng-10469	129	28	-	-	PUNCT
fumecheng-10469	129	29	hp/2	hp/2	NOUN
fumecheng-10469	129	30	for	for	ADP
fumecheng-10469	129	31	top	top	ADJ
fumecheng-10469	129	32	face	face	NOUN
fumecheng-10469	129	33	-	-	PUNCT
fumecheng-10469	129	34	sheet	sheet	NOUN
fumecheng-10469	129	35	and	and	CCONJ
fumecheng-10469	129	36	z2	z2	NOUN
fumecheng-10469	129	37	=	=	SYM
fumecheng-10469	129	38	z+h/2+hp/2	z+h/2+hp/2	PROPN
fumecheng-10469	129	39	for	for	ADP
fumecheng-10469	129	40	bottom	bottom	ADJ
fumecheng-10469	129	41	facesheet	facesheet	NOUN
fumecheng-10469	129	42	.	.	PUNCT
fumecheng-10469	130	1	additionally	additionally	ADV
fumecheng-10469	130	2	,	,	PUNCT
fumecheng-10469	130	3	φ(x	φ(x	PROPN
fumecheng-10469	130	4	,	,	PUNCT
fumecheng-10469	130	5	t	t	PROPN
fumecheng-10469	130	6	)	)	PUNCT
fumecheng-10469	130	7	refers	refer	VERB
fumecheng-10469	130	8	to	to	ADP
fumecheng-10469	130	9	variation	variation	NOUN
fumecheng-10469	130	10	of	of	ADP
fumecheng-10469	130	11	electric	electric	ADJ
fumecheng-10469	130	12	potential	potential	NOUN
fumecheng-10469	130	13	in	in	ADP
fumecheng-10469	130	14	longitudinal	longitudinal	ADJ
fumecheng-10469	130	15	direction	direction	NOUN
fumecheng-10469	130	16	.	.	PUNCT
fumecheng-10469	131	1	electric	electric	ADJ
fumecheng-10469	131	2	field	field	NOUN
fumecheng-10469	131	3	components	component	NOUN
fumecheng-10469	131	4	are	be	AUX
fumecheng-10469	131	5	achieved	achieve	VERB
fumecheng-10469	131	6	based	base	VERB
fumecheng-10469	131	7	on	on	ADP
fumecheng-10469	131	8	electric	electric	ADJ
fumecheng-10469	131	9	potential	potential	ADJ
fumecheng-10469	131	10	function	function	NOUN
fumecheng-10469	131	11	:	:	PUNCT
fumecheng-10469	131	12	cos	cos	PROPN
fumecheng-10469	131	13	p	p	X
fumecheng-10469	131	14	x	x	X
fumecheng-10469	131	15	p	p	X
fumecheng-10469	131	16	πz	πz	X
fumecheng-10469	131	17	e	e	NOUN
fumecheng-10469	131	18	x	x	NOUN
fumecheng-10469	131	19	h	h	NOUN
fumecheng-10469	131	20	x	x	PUNCT
fumecheng-10469	131	21			NOUN
fumecheng-10469	131	22			NOUN
fumecheng-10469	131	23			NOUN
fumecheng-10469	131	24	=	=	PUNCT
fumecheng-10469	132	1	−	−	PUNCT
fumecheng-10469	132	2	=	=	SYM
fumecheng-10469	132	3			PROPN
fumecheng-10469	132	4			INTJ
fumecheng-10469	133	1			PROPN
fumecheng-10469	134	1			PROPN
fumecheng-10469	134	2			PRON
fumecheng-10469	134	3			NOUN
fumecheng-10469	134	4	(	(	PUNCT
fumecheng-10469	134	5	13a	13a	NOUN
fumecheng-10469	134	6	)	)	PUNCT
fumecheng-10469	134	7	0	0	NUM
fumecheng-10469	134	8	2	2	NUM
fumecheng-10469	134	9	sin	sin	NOUN
fumecheng-10469	134	10	p	p	NOUN
fumecheng-10469	134	11	z	z	NOUN
fumecheng-10469	134	12	p	p	NOUN
fumecheng-10469	134	13	p	p	X
fumecheng-10469	134	14	p	p	PROPN
fumecheng-10469	134	15	πzπ	πzπ	PROPN
fumecheng-10469	134	16	e	e	PROPN
fumecheng-10469	134	17	z	z	NOUN
fumecheng-10469	134	18	h	h	NOUN
fumecheng-10469	134	19	h	h	NOUN
fumecheng-10469	135	1	h	h	PROPN
fumecheng-10469	135	2			NOUN
fumecheng-10469	135	3			NOUN
fumecheng-10469	135	4			NOUN
fumecheng-10469	135	5	=	=	SYM
fumecheng-10469	135	6	−	−	NOUN
fumecheng-10469	135	7	=	=	SYM
fumecheng-10469	135	8	−	−	PROPN
fumecheng-10469	135	9	−	−	NOUN
fumecheng-10469	135	10			PROPN
fumecheng-10469	136	1			PROPN
fumecheng-10469	136	2			PROPN
fumecheng-10469	137	1			PROPN
fumecheng-10469	137	2			PROPN
fumecheng-10469	137	3	(	(	PUNCT
fumecheng-10469	137	4	13b	13b	NOUN
fumecheng-10469	137	5	)	)	PUNCT
fumecheng-10469	137	6	4	4	NUM
fumecheng-10469	137	7	.	.	PUNCT
fumecheng-10469	137	8	displacement	displacement	ADJ
fumecheng-10469	137	9	field	field	NOUN
fumecheng-10469	137	10	and	and	CCONJ
fumecheng-10469	137	11	constitutive	constitutive	ADJ
fumecheng-10469	137	12	equations	equation	NOUN
fumecheng-10469	137	13	displacement	displacement	NOUN
fumecheng-10469	137	14	vector	vector	NOUN
fumecheng-10469	137	15	components	component	NOUN
fumecheng-10469	137	16	are	be	AUX
fumecheng-10469	137	17	described	describe	VERB
fumecheng-10469	137	18	in	in	ADP
fumecheng-10469	137	19	the	the	DET
fumecheng-10469	137	20	framework	framework	NOUN
fumecheng-10469	137	21	of	of	ADP
fumecheng-10469	137	22	reddy	reddy	PROPN
fumecheng-10469	137	23	third	third	ADJ
fumecheng-10469	137	24	-	-	PUNCT
fumecheng-10469	137	25	order	order	NOUN
fumecheng-10469	137	26	shear	shear	NOUN
fumecheng-10469	137	27	deformation	deformation	NOUN
fumecheng-10469	137	28	theory	theory	NOUN
fumecheng-10469	137	29	[	[	X
fumecheng-10469	137	30	68	68	NUM
fumecheng-10469	137	31	]	]	X
fumecheng-10469	137	32	:	:	PUNCT
fumecheng-10469	137	33	464	464	NUM
fumecheng-10469	137	34	p.	p.	NOUN
fumecheng-10469	137	35	jankowski	jankowski	PROPN
fumecheng-10469	137	36	(	(	PUNCT
fumecheng-10469	137	37	)	)	PUNCT
fumecheng-10469	137	38	(	(	PUNCT
fumecheng-10469	137	39	)	)	PUNCT
fumecheng-10469	137	40	(	(	PUNCT
fumecheng-10469	137	41	)	)	PUNCT
fumecheng-10469	137	42	(	(	PUNCT
fumecheng-10469	137	43	)	)	PUNCT
fumecheng-10469	137	44	(	(	PUNCT
fumecheng-10469	137	45	)	)	PUNCT
fumecheng-10469	137	46	3	3	NUM
fumecheng-10469	137	47	0	0	NUM
fumecheng-10469	137	48	x	x	SYM
fumecheng-10469	137	49	0	0	NUM
fumecheng-10469	137	50	x	x	SYM
fumecheng-10469	137	51	1	1	NUM
fumecheng-10469	137	52	x	x	SYM
fumecheng-10469	137	53	w	w	PROPN
fumecheng-10469	137	54	x	x	PROPN
fumecheng-10469	137	55	,	,	PUNCT
fumecheng-10469	137	56	t	t	PROPN
fumecheng-10469	137	57	u	u	NOUN
fumecheng-10469	137	58	x	x	PROPN
fumecheng-10469	137	59	,	,	PUNCT
fumecheng-10469	137	60	z	z	PROPN
fumecheng-10469	137	61	,	,	PUNCT
fumecheng-10469	137	62	t	t	PROPN
fumecheng-10469	137	63	=	=	SYM
fumecheng-10469	137	64	u	u	PROPN
fumecheng-10469	137	65	x	x	PROPN
fumecheng-10469	137	66	,	,	PUNCT
fumecheng-10469	137	67	t	t	PROPN
fumecheng-10469	137	68	+	+	CCONJ
fumecheng-10469	137	69	z	z	NOUN
fumecheng-10469	137	70	x	x	PROPN
fumecheng-10469	137	71	,	,	PUNCT
fumecheng-10469	137	72	t	t	PROPN
fumecheng-10469	137	73	c	c	PROPN
fumecheng-10469	137	74	z	z	PROPN
fumecheng-10469	137	75	x	x	PROPN
fumecheng-10469	137	76	,	,	PUNCT
fumecheng-10469	137	77	t	t	PROPN
fumecheng-10469	137	78	+	+	CCONJ
fumecheng-10469	137	79	x	x	X
fumecheng-10469	137	80			ADJ
fumecheng-10469	137	81			PROPN
fumecheng-10469	137	82			ADJ
fumecheng-10469	137	83			PROPN
fumecheng-10469	137	84			NOUN
fumecheng-10469	137	85			PROPN
fumecheng-10469	137	86			PROPN
fumecheng-10469	137	87			PROPN
fumecheng-10469	137	88			PROPN
fumecheng-10469	137	89	(	(	PUNCT
fumecheng-10469	137	90	14a	14a	NOUN
fumecheng-10469	137	91	)	)	PUNCT
fumecheng-10469	137	92	(	(	PUNCT
fumecheng-10469	137	93	)	)	PUNCT
fumecheng-10469	137	94	(	(	PUNCT
fumecheng-10469	137	95	)	)	PUNCT
fumecheng-10469	137	96	z	z	NOUN
fumecheng-10469	137	97	0u	0u	ADJ
fumecheng-10469	137	98	x	x	SYM
fumecheng-10469	137	99	,	,	PUNCT
fumecheng-10469	137	100	z	z	PROPN
fumecheng-10469	137	101	,	,	PUNCT
fumecheng-10469	137	102	t	t	NOUN
fumecheng-10469	137	103	=	=	SYM
fumecheng-10469	137	104	w	w	PROPN
fumecheng-10469	137	105	x	x	PROPN
fumecheng-10469	137	106	,	,	PUNCT
fumecheng-10469	137	107	t	t	PROPN
fumecheng-10469	137	108	(	(	PUNCT
fumecheng-10469	137	109	14b	14b	NUM
fumecheng-10469	137	110	)	)	PUNCT
fumecheng-10469	137	111	where	where	SCONJ
fumecheng-10469	137	112	u0	u0	ADJ
fumecheng-10469	137	113	and	and	CCONJ
fumecheng-10469	137	114	w0	w0	PROPN
fumecheng-10469	137	115	are	be	AUX
fumecheng-10469	137	116	axial	axial	ADJ
fumecheng-10469	137	117	and	and	CCONJ
fumecheng-10469	137	118	transverse	transverse	ADJ
fumecheng-10469	137	119	displacements	displacement	NOUN
fumecheng-10469	137	120	of	of	ADP
fumecheng-10469	137	121	material	material	ADJ
fumecheng-10469	137	122	point	point	NOUN
fumecheng-10469	137	123	on	on	ADP
fumecheng-10469	137	124	the	the	DET
fumecheng-10469	137	125	midplane	midplane	NOUN
fumecheng-10469	137	126	in	in	ADP
fumecheng-10469	137	127	an	an	DET
fumecheng-10469	137	128	undeformed	undeformed	ADJ
fumecheng-10469	137	129	configuration	configuration	NOUN
fumecheng-10469	137	130	,	,	PUNCT
fumecheng-10469	137	131	φx	φx	PROPN
fumecheng-10469	137	132	is	be	AUX
fumecheng-10469	137	133	rotation	rotation	NOUN
fumecheng-10469	137	134	of	of	ADP
fumecheng-10469	137	135	a	a	DET
fumecheng-10469	137	136	point	point	NOUN
fumecheng-10469	137	137	on	on	ADP
fumecheng-10469	137	138	the	the	DET
fumecheng-10469	137	139	centroidal	centroidal	ADJ
fumecheng-10469	137	140	axis	axis	NOUN
fumecheng-10469	137	141	x	x	PROPN
fumecheng-10469	137	142	of	of	ADP
fumecheng-10469	137	143	the	the	DET
fumecheng-10469	137	144	beam	beam	NOUN
fumecheng-10469	137	145	,	,	PUNCT
fumecheng-10469	137	146	and	and	CCONJ
fumecheng-10469	137	147	c1	c1	PROPN
fumecheng-10469	137	148	=	=	PROPN
fumecheng-10469	137	149	4/(3h2	4/(3h2	PROPN
fumecheng-10469	137	150	)	)	PUNCT
fumecheng-10469	137	151	for	for	ADP
fumecheng-10469	137	152	clarity	clarity	NOUN
fumecheng-10469	137	153	of	of	ADP
fumecheng-10469	137	154	formulation	formulation	NOUN
fumecheng-10469	137	155	.	.	PUNCT
fumecheng-10469	138	1	the	the	DET
fumecheng-10469	138	2	strain	strain	NOUN
fumecheng-10469	138	3	-	-	PUNCT
fumecheng-10469	138	4	displacement	displacement	NOUN
fumecheng-10469	138	5	relations	relation	NOUN
fumecheng-10469	138	6	are	be	AUX
fumecheng-10469	138	7	presented	present	VERB
fumecheng-10469	138	8	as	as	ADP
fumecheng-10469	138	9	linear	linear	ADJ
fumecheng-10469	138	10	and	and	CCONJ
fumecheng-10469	138	11	infinitesimal	infinitesimal	ADJ
fumecheng-10469	138	12	green	green	ADJ
fumecheng-10469	138	13	-	-	PUNCT
fumecheng-10469	138	14	lagrange	lagrange	NOUN
fumecheng-10469	138	15	strain	strain	NOUN
fumecheng-10469	138	16	tensor	tensor	NOUN
fumecheng-10469	138	17	:	:	PUNCT
fumecheng-10469	138	18			PROPN
fumecheng-10469	138	19			PROPN
fumecheng-10469	138	20	2	2	NUM
fumecheng-10469	138	21	(	(	PUNCT
fumecheng-10469	138	22	0	0	NUM
fumecheng-10469	138	23	)	)	PUNCT
fumecheng-10469	138	24	(	(	PUNCT
fumecheng-10469	138	25	1	1	X
fumecheng-10469	138	26	)	)	PUNCT
fumecheng-10469	138	27	(	(	PUNCT
fumecheng-10469	138	28	3	3	NUM
fumecheng-10469	138	29	)	)	PUNCT
fumecheng-10469	138	30	2	2	NUM
fumecheng-10469	138	31	,	,	PUNCT
fumecheng-10469	138	32	,	,	PUNCT
fumecheng-10469	138	33	,	,	PUNCT
fumecheng-10469	138	34	,	,	PUNCT
fumecheng-10469	138	35			PROPN
fumecheng-10469	138	36			PROPN
fumecheng-10469	138	37			PROPN
fumecheng-10469	138	38			ADJ
fumecheng-10469	138	39			ADJ
fumecheng-10469	138	40			PROPN
fumecheng-10469	138	41			NUM
fumecheng-10469	138	42	=	=	SYM
fumecheng-10469	138	43			NUM
fumecheng-10469	138	44			NUM
fumecheng-10469	138	45			ADJ
fumecheng-10469	138	46			ADJ
fumecheng-10469	138	47			ADJ
fumecheng-10469	138	48			PROPN
fumecheng-10469	138	49			NUM
fumecheng-10469	138	50			NOUN
fumecheng-10469	138	51			PROPN
fumecheng-10469	139	1			PROPN
fumecheng-10469	139	2			PROPN
fumecheng-10469	139	3			PROPN
fumecheng-10469	139	4			PROPN
fumecheng-10469	139	5	0	0	NUM
fumecheng-10469	140	1	x	x	SYM
fumecheng-10469	140	2	x	x	SYM
fumecheng-10469	140	3	0	0	NUM
fumecheng-10469	141	1	xx	xx	NUM
fumecheng-10469	141	2	xx	xx	NUM
fumecheng-10469	142	1	xx	xx	NUM
fumecheng-10469	142	2	1	1	NUM
fumecheng-10469	142	3	u	u	PROPN
fumecheng-10469	142	4	w	w	PROPN
fumecheng-10469	142	5	ε	ε	PROPN
fumecheng-10469	142	6	ε	ε	PROPN
fumecheng-10469	142	7	ε	ε	PROPN
fumecheng-10469	142	8	-c	-c	PUNCT
fumecheng-10469	143	1	+	+	PUNCT
fumecheng-10469	143	2	x	x	SYM
fumecheng-10469	143	3	x	x	SYM
fumecheng-10469	143	4	x	x	SYM
fumecheng-10469	143	5	x	x	X
fumecheng-10469	143	6	(	(	PUNCT
fumecheng-10469	143	7	15a	15a	NOUN
fumecheng-10469	143	8	)	)	PUNCT
fumecheng-10469	143	9			PROPN
fumecheng-10469	143	10	(0	(0	PROPN
fumecheng-10469	143	11	)	)	PUNCT
fumecheng-10469	143	12	(	(	PUNCT
fumecheng-10469	143	13	2	2	NUM
fumecheng-10469	143	14	)	)	PUNCT
fumecheng-10469	143	15	,	,	PUNCT
fumecheng-10469	143	16	,	,	PUNCT
fumecheng-10469	143	17			NUM
fumecheng-10469	143	18			NUM
fumecheng-10469	143	19			ADJ
fumecheng-10469	143	20			PROPN
fumecheng-10469	143	21			ADP
fumecheng-10469	143	22			ADJ
fumecheng-10469	143	23			ADJ
fumecheng-10469	143	24			PROPN
fumecheng-10469	143	25	=	=	SYM
fumecheng-10469	144	1			NUM
fumecheng-10469	144	2			NUM
fumecheng-10469	144	3			PROPN
fumecheng-10469	144	4			X
fumecheng-10469	144	5			PROPN
fumecheng-10469	144	6			NOUN
fumecheng-10469	144	7			NOUN
fumecheng-10469	144	8	+	+	CCONJ
fumecheng-10469	145	1	+	+	ADJ
fumecheng-10469	145	2			ADJ
fumecheng-10469	145	3			CCONJ
fumecheng-10469	146	1			PROPN
fumecheng-10469	146	2			NOUN
fumecheng-10469	146	3	0	0	NUM
fumecheng-10469	146	4	0	0	NUM
fumecheng-10469	147	1	xz	xz	PROPN
fumecheng-10469	147	2	xz	xz	PROPN
fumecheng-10469	147	3	x	x	PROPN
fumecheng-10469	147	4	2	2	NUM
fumecheng-10469	147	5	x	x	SYM
fumecheng-10469	147	6	w	w	PROPN
fumecheng-10469	147	7	w	w	PROPN
fumecheng-10469	147	8	-c	-c	PUNCT
fumecheng-10469	147	9	x	x	SYM
fumecheng-10469	147	10	x	x	X
fumecheng-10469	147	11	(	(	PUNCT
fumecheng-10469	147	12	15b	15b	NOUN
fumecheng-10469	147	13	)	)	PUNCT
fumecheng-10469	147	14	where	where	SCONJ
fumecheng-10469	147	15	c2	c2	PROPN
fumecheng-10469	147	16	=	=	SYM
fumecheng-10469	147	17	3c1	3c1	NUM
fumecheng-10469	147	18	.	.	PUNCT
fumecheng-10469	148	1	thus	thus	ADV
fumecheng-10469	148	2	,	,	PUNCT
fumecheng-10469	148	3	the	the	DET
fumecheng-10469	148	4	strains	strain	NOUN
fumecheng-10469	148	5	take	take	VERB
fumecheng-10469	148	6	the	the	DET
fumecheng-10469	148	7	form	form	NOUN
fumecheng-10469	148	8	:	:	PUNCT
fumecheng-10469	148	9	(	(	PUNCT
fumecheng-10469	148	10	0	0	NUM
fumecheng-10469	148	11	)	)	PUNCT
fumecheng-10469	148	12	(	(	PUNCT
fumecheng-10469	148	13	1	1	X
fumecheng-10469	148	14	)	)	PUNCT
fumecheng-10469	148	15	(	(	PUNCT
fumecheng-10469	148	16	3)=	3)=	NUM
fumecheng-10469	148	17	+	+	NUM
fumecheng-10469	148	18	+	+	CCONJ
fumecheng-10469	149	1	3	3	NUM
fumecheng-10469	149	2	xx	xx	NUM
fumecheng-10469	149	3	xx	xx	NUM
fumecheng-10469	150	1	xx	xx	NUM
fumecheng-10469	151	1	xxε	xxε	PROPN
fumecheng-10469	152	1	ε	ε	PROPN
fumecheng-10469	152	2	zε	zε	PROPN
fumecheng-10469	152	3	z	z	PROPN
fumecheng-10469	152	4	ε	ε	PROPN
fumecheng-10469	152	5	(	(	PUNCT
fumecheng-10469	152	6	16a	16a	NOUN
fumecheng-10469	152	7	)	)	PUNCT
fumecheng-10469	152	8	(	(	PUNCT
fumecheng-10469	152	9	0	0	NUM
fumecheng-10469	152	10	)	)	PUNCT
fumecheng-10469	152	11	(	(	PUNCT
fumecheng-10469	152	12	2)	2)	NUM
fumecheng-10469	152	13	=	=	NOUN
fumecheng-10469	152	14	+	+	CCONJ
fumecheng-10469	152	15	2	2	NUM
fumecheng-10469	152	16	xz	xz	PROPN
fumecheng-10469	152	17	xz	xz	PROPN
fumecheng-10469	152	18	xz2ε	xz2ε	PROPN
fumecheng-10469	153	1	z	z	PROPN
fumecheng-10469	153	2	(	(	PUNCT
fumecheng-10469	153	3	16b	16b	PROPN
fumecheng-10469	153	4	)	)	PUNCT
fumecheng-10469	153	5	based	base	VERB
fumecheng-10469	153	6	on	on	ADP
fumecheng-10469	153	7	a	a	DET
fumecheng-10469	153	8	higher	high	ADJ
fumecheng-10469	153	9	-	-	PUNCT
fumecheng-10469	153	10	order	order	NOUN
fumecheng-10469	153	11	nonlocal	nonlocal	ADJ
fumecheng-10469	153	12	elasticity	elasticity	NOUN
fumecheng-10469	153	13	and	and	CCONJ
fumecheng-10469	153	14	strain	strain	NOUN
fumecheng-10469	153	15	gradient	gradient	NOUN
fumecheng-10469	153	16	theory	theory	NOUN
fumecheng-10469	153	17	,	,	PUNCT
fumecheng-10469	153	18	the	the	DET
fumecheng-10469	153	19	constitutive	constitutive	ADJ
fumecheng-10469	153	20	relations	relation	NOUN
fumecheng-10469	153	21	are	be	AUX
fumecheng-10469	153	22	:	:	PUNCT
fumecheng-10469	153	23	2	2	NUM
fumecheng-10469	153	24	2	2	NUM
fumecheng-10469	153	25	2(1	2(1	NUM
fumecheng-10469	153	26	)	)	PUNCT
fumecheng-10469	153	27	1	1	NUM
fumecheng-10469	153	28	(	(	PUNCT
fumecheng-10469	153	29	)	)	PUNCT
fumecheng-10469	153	30	c	c	NOUN
fumecheng-10469	153	31	xx	xx	NUM
fumecheng-10469	154	1	xx	xx	NUM
fumecheng-10469	154	2	xxc	xxc	PROPN
fumecheng-10469	154	3	ε−	ε−	PROPN
fumecheng-10469	154	4	=	=	PROPN
fumecheng-10469	154	5	−b	−b	PROPN
fumecheng-10469	154	6	(	(	PUNCT
fumecheng-10469	154	7	17a	17a	X
fumecheng-10469	154	8	)	)	PUNCT
fumecheng-10469	154	9	2	2	NUM
fumecheng-10469	154	10	2	2	NUM
fumecheng-10469	154	11	2(1	2(1	NUM
fumecheng-10469	154	12	)	)	PUNCT
fumecheng-10469	154	13	1	1	NUM
fumecheng-10469	154	14	(	(	PUNCT
fumecheng-10469	154	15	)	)	PUNCT
fumecheng-10469	154	16	c	c	PROPN
fumecheng-10469	154	17	xz	xz	PROPN
fumecheng-10469	154	18	xz	xz	PROPN
fumecheng-10469	154	19	xz2c	xz2c	PROPN
fumecheng-10469	154	20	ε−	ε−	PROPN
fumecheng-10469	155	1	=	=	PROPN
fumecheng-10469	155	2	−b	−b	PROPN
fumecheng-10469	155	3	(	(	PUNCT
fumecheng-10469	155	4	17b	17b	NUM
fumecheng-10469	155	5	)	)	PUNCT
fumecheng-10469	155	6	2	2	NUM
fumecheng-10469	155	7	2	2	NUM
fumecheng-10469	155	8	2	2	NUM
fumecheng-10469	155	9	(	(	PUNCT
fumecheng-10469	155	10	)	)	PUNCT
fumecheng-10469	155	11	(	(	PUNCT
fumecheng-10469	155	12	)	)	PUNCT
fumecheng-10469	155	13	(	(	PUNCT
fumecheng-10469	155	14	1	1	X
fumecheng-10469	155	15	)	)	PUNCT
fumecheng-10469	155	16	1p	1p	NOUN
fumecheng-10469	155	17	xx	xx	NUM
fumecheng-10469	155	18	xx	xx	NUM
fumecheng-10469	155	19	xx	xx	NUM
fumecheng-10469	155	20	x	x	PUNCT
fumecheng-10469	155	21	zd	zd	PROPN
fumecheng-10469	155	22	ε	ε	PROPN
fumecheng-10469	155	23	e	e	PROPN
fumecheng-10469	155	24	e	e	PROPN
fumecheng-10469	155	25	=	=	SYM
fumecheng-10469	155	26	−	−	NOUN
fumecheng-10469	155	27	−b	−b	ADJ
fumecheng-10469	155	28	(	(	PUNCT
fumecheng-10469	155	29	18a	18a	NOUN
fumecheng-10469	155	30	)	)	PUNCT
fumecheng-10469	155	31	2	2	NUM
fumecheng-10469	155	32	2	2	NUM
fumecheng-10469	155	33	2	2	NUM
fumecheng-10469	155	34	)	)	PUNCT
fumecheng-10469	155	35	(	(	PUNCT
fumecheng-10469	155	36	1	1	NUM
fumecheng-10469	155	37	(	(	PUNCT
fumecheng-10469	155	38	)	)	PUNCT
fumecheng-10469	155	39	)	)	PUNCT
fumecheng-10469	155	40	1	1	NUM
fumecheng-10469	155	41	(	(	PUNCT
fumecheng-10469	155	42	2p	2p	NUM
fumecheng-10469	155	43	xz	xz	PROPN
fumecheng-10469	155	44	xz	xz	PROPN
fumecheng-10469	155	45	xz	xz	PROPN
fumecheng-10469	155	46	z	z	PROPN
fumecheng-10469	155	47	xd	xd	INTJ
fumecheng-10469	155	48	ε	ε	PROPN
fumecheng-10469	155	49	e	e	NOUN
fumecheng-10469	155	50	e−	e−	NOUN
fumecheng-10469	155	51	=	=	SYM
fumecheng-10469	155	52	−b	−b	NOUN
fumecheng-10469	155	53	(	(	PUNCT
fumecheng-10469	155	54	18b	18b	NOUN
fumecheng-10469	155	55	)	)	PUNCT
fumecheng-10469	155	56	2	2	NUM
fumecheng-10469	155	57	2	2	NUM
fumecheng-10469	155	58	2	2	NUM
fumecheng-10469	155	59	)	)	PUNCT
fumecheng-10469	155	60	(	(	PUNCT
fumecheng-10469	155	61	1	1	NUM
fumecheng-10469	155	62	(	(	PUNCT
fumecheng-10469	155	63	)	)	PUNCT
fumecheng-10469	155	64	)	)	PUNCT
fumecheng-10469	155	65	1	1	NUM
fumecheng-10469	155	66	(	(	PUNCT
fumecheng-10469	155	67	2p	2p	NUM
fumecheng-10469	155	68	x	x	X
fumecheng-10469	155	69	z	z	NOUN
fumecheng-10469	155	70	xz	xz	PROPN
fumecheng-10469	155	71	x	x	PUNCT
fumecheng-10469	155	72	xd	xd	INTJ
fumecheng-10469	155	73	e	e	X
fumecheng-10469	155	74	ε	ε	PROPN
fumecheng-10469	155	75	e−	e−	X
fumecheng-10469	155	76	=	=	PUNCT
fumecheng-10469	155	77			PROPN
fumecheng-10469	155	78	+	+	ADV
fumecheng-10469	155	79	−b	−b	ADJ
fumecheng-10469	155	80	(	(	PUNCT
fumecheng-10469	155	81	18c	18c	NUM
fumecheng-10469	155	82	)	)	PUNCT
fumecheng-10469	155	83	2	2	NUM
fumecheng-10469	155	84	2	2	NUM
fumecheng-10469	155	85	2	2	NUM
fumecheng-10469	155	86	(	(	PUNCT
fumecheng-10469	155	87	)	)	PUNCT
fumecheng-10469	155	88	(	(	PUNCT
fumecheng-10469	155	89	)	)	PUNCT
fumecheng-10469	155	90	(	(	PUNCT
fumecheng-10469	155	91	1	1	X
fumecheng-10469	155	92	)	)	PUNCT
fumecheng-10469	155	93	1p	1p	PROPN
fumecheng-10469	155	94	z	z	NOUN
fumecheng-10469	155	95	x	x	SYM
fumecheng-10469	155	96	xx	xx	NUM
fumecheng-10469	155	97	z	z	NOUN
fumecheng-10469	155	98	zd	zd	PROPN
fumecheng-10469	155	99	e	e	X
fumecheng-10469	155	100	ε	ε	PROPN
fumecheng-10469	155	101	e	e	PROPN
fumecheng-10469	155	102	=	=	PUNCT
fumecheng-10469	155	103			PROPN
fumecheng-10469	156	1	+	+	ADJ
fumecheng-10469	156	2	−	−	PRON
fumecheng-10469	156	3	−b	−b	ADJ
fumecheng-10469	156	4	(	(	PUNCT
fumecheng-10469	156	5	18d	18d	NOUN
fumecheng-10469	156	6	)	)	PUNCT
fumecheng-10469	156	7	where	where	SCONJ
fumecheng-10469	156	8	ℬ	ℬ	NOUN
fumecheng-10469	156	9	=	=	SYM
fumecheng-10469	156	10	(	(	PUNCT
fumecheng-10469	156	11	ea)2	ea)2	PROPN
fumecheng-10469	156	12	.	.	PUNCT
fumecheng-10469	157	1	σc	σc	PROPN
fumecheng-10469	157	2	ij	ij	NOUN
fumecheng-10469	157	3	,	,	PUNCT
fumecheng-10469	157	4	σp	σp	ADP
fumecheng-10469	157	5	ij	ij	INTJ
fumecheng-10469	157	6	and	and	CCONJ
fumecheng-10469	157	7	dp	dp	PRON
fumecheng-10469	158	1	i	i	PRON
fumecheng-10469	158	2	are	be	AUX
fumecheng-10469	158	3	nanobeam	nanobeam	ADJ
fumecheng-10469	158	4	core	core	NOUN
fumecheng-10469	158	5	stress	stress	NOUN
fumecheng-10469	158	6	tensor	tensor	NOUN
fumecheng-10469	158	7	,	,	PUNCT
fumecheng-10469	158	8	piezoelectric	piezoelectric	ADJ
fumecheng-10469	158	9	facesheets	facesheet	NOUN
fumecheng-10469	158	10	stress	stress	NOUN
fumecheng-10469	158	11	tensor	tensor	NOUN
fumecheng-10469	158	12	and	and	CCONJ
fumecheng-10469	158	13	electric	electric	ADJ
fumecheng-10469	158	14	displacement	displacement	NOUN
fumecheng-10469	158	15	component	component	NOUN
fumecheng-10469	158	16	.	.	PUNCT
fumecheng-10469	159	1	additionally	additionally	ADV
fumecheng-10469	159	2	,	,	PUNCT
fumecheng-10469	159	3	dij	dij	PROPN
fumecheng-10469	159	4	are	be	AUX
fumecheng-10469	159	5	elastic	elastic	ADJ
fumecheng-10469	159	6	constants	constant	NOUN
fumecheng-10469	159	7	for	for	ADP
fumecheng-10469	159	8	piezoelectric	piezoelectric	ADJ
fumecheng-10469	159	9	layers	layer	NOUN
fumecheng-10469	159	10	,	,	PUNCT
fumecheng-10469	159	11	ei	ei	X
fumecheng-10469	159	12	are	be	AUX
fumecheng-10469	159	13	piezoelectric	piezoelectric	ADJ
fumecheng-10469	159	14	permittivity	permittivity	NOUN
fumecheng-10469	159	15	constants	constant	NOUN
fumecheng-10469	159	16	and	and	CCONJ
fumecheng-10469	159	17	∈i	∈i	NOUN
fumecheng-10469	159	18	are	be	AUX
fumecheng-10469	159	19	dielectric	dielectric	ADJ
fumecheng-10469	159	20	permittivity	permittivity	ADJ
fumecheng-10469	159	21	constants	constant	NOUN
fumecheng-10469	159	22	.	.	PUNCT
fumecheng-10469	160	1	detection	detection	NOUN
fumecheng-10469	160	2	of	of	ADP
fumecheng-10469	160	3	nonlocal	nonlocal	ADJ
fumecheng-10469	160	4	calibration	calibration	NOUN
fumecheng-10469	160	5	parameters	parameter	NOUN
fumecheng-10469	160	6	and	and	CCONJ
fumecheng-10469	160	7	range	range	NOUN
fumecheng-10469	160	8	interaction	interaction	NOUN
fumecheng-10469	160	9	for	for	ADP
fumecheng-10469	160	10	dynamics	dynamic	NOUN
fumecheng-10469	160	11	of	of	ADP
fumecheng-10469	160	12	fgm	fgm	PROPN
fumecheng-10469	160	13	porous	porous	ADJ
fumecheng-10469	160	14	…	…	PUNCT
fumecheng-10469	160	15	465	465	NUM
fumecheng-10469	160	16	5	5	NUM
fumecheng-10469	160	17	.	.	PUNCT
fumecheng-10469	160	18	equations	equation	NOUN
fumecheng-10469	160	19	of	of	ADP
fumecheng-10469	160	20	motion	motion	NOUN
fumecheng-10469	160	21	and	and	CCONJ
fumecheng-10469	160	22	closed	closed	ADJ
fumecheng-10469	160	23	-	-	PUNCT
fumecheng-10469	160	24	form	form	NOUN
fumecheng-10469	160	25	solution	solution	NOUN
fumecheng-10469	160	26	procedure	procedure	NOUN
fumecheng-10469	160	27	equations	equation	NOUN
fumecheng-10469	160	28	of	of	ADP
fumecheng-10469	160	29	motion	motion	NOUN
fumecheng-10469	160	30	are	be	AUX
fumecheng-10469	160	31	obtained	obtain	VERB
fumecheng-10469	160	32	based	base	VERB
fumecheng-10469	160	33	on	on	ADP
fumecheng-10469	160	34	modified	modified	PROPN
fumecheng-10469	160	35	hamilton	hamilton	PROPN
fumecheng-10469	160	36	’s	’s	PART
fumecheng-10469	160	37	variational	variational	ADJ
fumecheng-10469	160	38	principle	principle	NOUN
fumecheng-10469	160	39	including	include	VERB
fumecheng-10469	160	40	virtual	virtual	ADJ
fumecheng-10469	160	41	strain	strain	NOUN
fumecheng-10469	160	42	energy	energy	NOUN
fumecheng-10469	160	43	u	u	NOUN
fumecheng-10469	160	44	,	,	PUNCT
fumecheng-10469	160	45	virtual	virtual	ADJ
fumecheng-10469	160	46	kinetic	kinetic	ADJ
fumecheng-10469	160	47	energy	energy	NOUN
fumecheng-10469	160	48	k	k	NOUN
fumecheng-10469	160	49	,	,	PUNCT
fumecheng-10469	160	50	virtual	virtual	ADJ
fumecheng-10469	160	51	electric	electric	ADJ
fumecheng-10469	160	52	field	field	NOUN
fumecheng-10469	160	53	e	e	NOUN
fumecheng-10469	160	54	,	,	PUNCT
fumecheng-10469	160	55	and	and	CCONJ
fumecheng-10469	160	56	virtual	virtual	ADJ
fumecheng-10469	160	57	work	work	NOUN
fumecheng-10469	160	58	done	do	VERB
fumecheng-10469	160	59	by	by	ADP
fumecheng-10469	160	60	external	external	ADJ
fumecheng-10469	160	61	mechanical	mechanical	ADJ
fumecheng-10469	160	62	and	and	CCONJ
fumecheng-10469	160	63	electrical	electrical	ADJ
fumecheng-10469	160	64	forces	force	NOUN
fumecheng-10469	160	65	v	v	NOUN
fumecheng-10469	160	66	in	in	ADP
fumecheng-10469	160	67	the	the	DET
fumecheng-10469	160	68	form	form	NOUN
fumecheng-10469	160	69	(	(	PUNCT
fumecheng-10469	160	70	)	)	PUNCT
fumecheng-10469	160	71			ADJ
fumecheng-10469	160	72			ADJ
fumecheng-10469	160	73			ADJ
fumecheng-10469	160	74			PROPN
fumecheng-10469	160	75	t	t	NOUN
fumecheng-10469	160	76	0	0	NUM
fumecheng-10469	160	77	u	u	NOUN
fumecheng-10469	160	78	k	k	PROPN
fumecheng-10469	160	79	e	e	PROPN
fumecheng-10469	160	80	+	+	PROPN
fumecheng-10469	160	81	v	v	ADP
fumecheng-10469	160	82	dt	dt	NOUN
fumecheng-10469	160	83	=	=	SYM
fumecheng-10469	160	84	0	0	NUM
fumecheng-10469	160	85	(	(	PUNCT
fumecheng-10469	160	86	19	19	NUM
fumecheng-10469	160	87	)	)	PUNCT
fumecheng-10469	160	88	a	a	DET
fumecheng-10469	160	89	detailed	detailed	ADJ
fumecheng-10469	160	90	explanation	explanation	NOUN
fumecheng-10469	160	91	on	on	ADP
fumecheng-10469	160	92	the	the	DET
fumecheng-10469	160	93	derivation	derivation	NOUN
fumecheng-10469	160	94	of	of	ADP
fumecheng-10469	160	95	the	the	DET
fumecheng-10469	160	96	equations	equation	NOUN
fumecheng-10469	160	97	of	of	ADP
fumecheng-10469	160	98	motion	motion	NOUN
fumecheng-10469	160	99	is	be	AUX
fumecheng-10469	160	100	presented	present	VERB
fumecheng-10469	160	101	in	in	ADP
fumecheng-10469	160	102	previous	previous	ADJ
fumecheng-10469	160	103	paper	paper	NOUN
fumecheng-10469	161	1	[	[	X
fumecheng-10469	161	2	64	64	NUM
fumecheng-10469	161	3	]	]	PUNCT
fumecheng-10469	161	4	.	.	PUNCT
fumecheng-10469	162	1	the	the	DET
fumecheng-10469	162	2	equations	equation	NOUN
fumecheng-10469	162	3	of	of	ADP
fumecheng-10469	162	4	motion	motion	NOUN
fumecheng-10469	162	5	of	of	ADP
fumecheng-10469	162	6	fgm	fgm	PROPN
fumecheng-10469	162	7	sandwich	sandwich	NOUN
fumecheng-10469	162	8	nanobeam	nanobeam	NOUN
fumecheng-10469	162	9	are	be	AUX
fumecheng-10469	162	10	presented	present	VERB
fumecheng-10469	162	11	by	by	ADP
fumecheng-10469	162	12	displacements	displacement	NOUN
fumecheng-10469	162	13	and	and	CCONJ
fumecheng-10469	162	14	obtained	obtain	VERB
fumecheng-10469	162	15	based	base	VERB
fumecheng-10469	162	16	on	on	ADP
fumecheng-10469	162	17	the	the	DET
fumecheng-10469	162	18	nonlocal	nonlocal	ADJ
fumecheng-10469	162	19	strain	strain	NOUN
fumecheng-10469	162	20	gradient	gradient	NOUN
fumecheng-10469	162	21	theory	theory	NOUN
fumecheng-10469	162	22	as	as	ADP
fumecheng-10469	162	23	:	:	PUNCT
fumecheng-10469	162	24	(	(	PUNCT
fumecheng-10469	162	25	)	)	PUNCT
fumecheng-10469	162	26	(	(	PUNCT
fumecheng-10469	162	27	)	)	PUNCT
fumecheng-10469	162	28	(	(	PUNCT
fumecheng-10469	162	29	)	)	PUNCT
fumecheng-10469	162	30	(	(	PUNCT
fumecheng-10469	162	31	)	)	PUNCT
fumecheng-10469	162	32	(	(	PUNCT
fumecheng-10469	162	33	)	)	PUNCT
fumecheng-10469	162	34	(	(	PUNCT
fumecheng-10469	162	35	)	)	PUNCT
fumecheng-10469	162	36	(	(	PUNCT
fumecheng-10469	162	37	)	)	PUNCT
fumecheng-10469	162	38	(	(	PUNCT
fumecheng-10469	162	39	)	)	PUNCT
fumecheng-10469	162	40	3	3	NUM
fumecheng-10469	162	41	0	0	NUM
fumecheng-10469	162	42	1	1	NUM
fumecheng-10469	162	43	3	3	NUM
fumecheng-10469	162	44	0	0	NUM
fumecheng-10469	162	45	02	02	NUM
fumecheng-10469	162	46	3	3	NUM
fumecheng-10469	162	47	5	5	NUM
fumecheng-10469	162	48	1	1	NUM
fumecheng-10469	162	49	3	3	NUM
fumecheng-10469	162	50	0	0	NUM
fumecheng-10469	162	51	0	0	NUM
fumecheng-10469	162	52	05	05	NUM
fumecheng-10469	162	53	2	2	NUM
fumecheng-10469	162	54	2	2	NUM
fumecheng-10469	162	55	2	2	NUM
fumecheng-10469	162	56	4	4	NUM
fumecheng-10469	162	57	12	12	NUM
fumecheng-10469	162	58	2	2	NUM
fumecheng-10469	162	59	2	2	NUM
fumecheng-10469	162	60	4	4	NUM
fumecheng-10469	162	61	4	4	NUM
fumecheng-10469	162	62	4	4	NUM
fumecheng-10469	162	63	3	3	NUM
fumecheng-10469	162	64	14	14	NUM
fumecheng-10469	162	65	4	4	NUM
fumecheng-10469	162	66	3	3	NUM
fumecheng-10469	162	67			ADJ
fumecheng-10469	162	68			ADJ
fumecheng-10469	162	69			ADJ
fumecheng-10469	162	70			ADJ
fumecheng-10469	162	71			NOUN
fumecheng-10469	162	72			NOUN
fumecheng-10469	162	73			ADJ
fumecheng-10469	162	74			ADJ
fumecheng-10469	162	75			PROPN
fumecheng-10469	162	76	+	+	PUNCT
fumecheng-10469	163	1	−	−	PROPN
fumecheng-10469	164	1	+	+	CCONJ
fumecheng-10469	165	1	+	+	ADJ
fumecheng-10469	165	2			ADJ
fumecheng-10469	165	3			DET
fumecheng-10469	165	4			ADJ
fumecheng-10469	165	5			PROPN
fumecheng-10469	165	6			PROPN
fumecheng-10469	165	7			ADJ
fumecheng-10469	165	8			NOUN
fumecheng-10469	165	9			NOUN
fumecheng-10469	165	10			NOUN
fumecheng-10469	165	11			ADJ
fumecheng-10469	165	12			ADJ
fumecheng-10469	165	13			PROPN
fumecheng-10469	165	14			NOUN
fumecheng-10469	165	15	−	−	ADP
fumecheng-10469	165	16			NOUN
fumecheng-10469	165	17			NOUN
fumecheng-10469	165	18			VERB
fumecheng-10469	165	19			ADJ
fumecheng-10469	165	20			PROPN
fumecheng-10469	166	1	=	=	PUNCT
fumecheng-10469	166	2	−	−	PROPN
fumecheng-10469	166	3	+	+	NUM
fumecheng-10469	166	4	−	−	PROPN
fumecheng-10469	166	5			NUM
fumecheng-10469	166	6			ADJ
fumecheng-10469	166	7			PROPN
fumecheng-10469	166	8			VERB
fumecheng-10469	166	9			NUM
fumecheng-10469	166	10			X
fumecheng-10469	166	11	0	0	NUM
fumecheng-10469	166	12	x	x	SYM
fumecheng-10469	166	13	x	x	SYM
fumecheng-10469	166	14	0	0	NUM
fumecheng-10469	166	15	0	0	NUM
fumecheng-10469	166	16	xx	xx	NUM
fumecheng-10469	167	1	xx	xx	NUM
fumecheng-10469	167	2	xx	xx	NUM
fumecheng-10469	168	1	x	x	NOUN
fumecheng-10469	168	2	xx	xx	NUM
fumecheng-10469	168	3	x	x	SYM
fumecheng-10469	168	4	x	x	SYM
fumecheng-10469	168	5	0	0	NUM
fumecheng-10469	169	1	xx	xx	NUM
fumecheng-10469	169	2	xx	xx	NUM
fumecheng-10469	170	1	x	x	SYM
fumecheng-10469	170	2	0	0	NUM
fumecheng-10469	170	3	0	0	NUM
fumecheng-10469	170	4	u	u	PROPN
fumecheng-10469	170	5	w	w	PROPN
fumecheng-10469	170	6	u	u	PROPN
fumecheng-10469	170	7	a	a	PRON
fumecheng-10469	170	8	a	a	DET
fumecheng-10469	170	9	a	a	DET
fumecheng-10469	170	10	+	+	NOUN
fumecheng-10469	170	11	x	x	SYM
fumecheng-10469	170	12	c	c	NOUN
fumecheng-10469	170	13	b	b	PROPN
fumecheng-10469	170	14	a	a	X
fumecheng-10469	170	15	xx	xx	NOUN
fumecheng-10469	171	1	x	x	SYM
fumecheng-10469	171	2	x	x	PUNCT
fumecheng-10469	171	3	x	x	PUNCT
fumecheng-10469	171	4	x	x	X
fumecheng-10469	171	5	w	w	ADP
fumecheng-10469	171	6	a	a	DET
fumecheng-10469	171	7	a	a	DET
fumecheng-10469	171	8	+	+	X
fumecheng-10469	171	9	b	b	NOUN
fumecheng-10469	171	10	i	i	PRON
fumecheng-10469	171	11	u	u	NOUN
fumecheng-10469	171	12	u	u	NOUN
fumecheng-10469	171	13	x	x	NOUN
fumecheng-10469	171	14	x	x	X
fumecheng-10469	171	15	x	x	X
fumecheng-10469	171	16	c	c	NOUN
fumecheng-10469	171	17	ib	ib	X
fumecheng-10469	171	18	(	(	PUNCT
fumecheng-10469	171	19	20a	20a	NOUN
fumecheng-10469	171	20	)	)	PUNCT
fumecheng-10469	171	21	(	(	PUNCT
fumecheng-10469	171	22	)	)	PUNCT
fumecheng-10469	171	23	(	(	PUNCT
fumecheng-10469	171	24	)	)	PUNCT
fumecheng-10469	171	25	(	(	PUNCT
fumecheng-10469	171	26	)	)	PUNCT
fumecheng-10469	171	27	(	(	PUNCT
fumecheng-10469	171	28	)	)	PUNCT
fumecheng-10469	171	29	(	(	PUNCT
fumecheng-10469	171	30	)	)	PUNCT
fumecheng-10469	171	31	(	(	PUNCT
fumecheng-10469	171	32	)	)	PUNCT
fumecheng-10469	171	33	(	(	PUNCT
fumecheng-10469	171	34	)	)	PUNCT
fumecheng-10469	171	35	(	(	PUNCT
fumecheng-10469	171	36	)	)	PUNCT
fumecheng-10469	171	37	(	(	PUNCT
fumecheng-10469	171	38	)	)	PUNCT
fumecheng-10469	171	39	(	(	PUNCT
fumecheng-10469	171	40	)	)	PUNCT
fumecheng-10469	171	41	(	(	PUNCT
fumecheng-10469	171	42	)	)	PUNCT
fumecheng-10469	171	43	(	(	PUNCT
fumecheng-10469	171	44	)	)	PUNCT
fumecheng-10469	171	45	2	2	NUM
fumecheng-10469	171	46	2	2	NUM
fumecheng-10469	171	47	2	2	NUM
fumecheng-10469	171	48	2	2	NUM
fumecheng-10469	171	49	2	2	NUM
fumecheng-10469	171	50	2	2	NUM
fumecheng-10469	171	51	2	2	NUM
fumecheng-10469	171	52	2	2	NUM
fumecheng-10469	171	53	2	2	NUM
fumecheng-10469	171	54	1	1	NUM
fumecheng-10469	171	55	1	1	NUM
fumecheng-10469	171	56	1	1	NUM
fumecheng-10469	171	57	4	4	NUM
fumecheng-10469	171	58	2	2	NUM
fumecheng-10469	171	59	0	0	NUM
fumecheng-10469	171	60	2	2	NUM
fumecheng-10469	171	61	1	1	NUM
fumecheng-10469	171	62	3	3	NUM
fumecheng-10469	171	63	3	3	NUM
fumecheng-10469	171	64	2	2	NUM
fumecheng-10469	171	65	4	4	NUM
fumecheng-10469	171	66	4	4	NUM
fumecheng-10469	171	67	3	3	NUM
fumecheng-10469	171	68	3	3	NUM
fumecheng-10469	171	69	6	6	NUM
fumecheng-10469	171	70	0	0	NUM
fumecheng-10469	171	71	1	1	NUM
fumecheng-10469	171	72	3	3	NUM
fumecheng-10469	171	73	3	3	NUM
fumecheng-10469	171	74	2	2	NUM
fumecheng-10469	171	75	2	2	NUM
fumecheng-10469	171	76	2	2	NUM
fumecheng-10469	171	77	2	2	NUM
fumecheng-10469	171	78	2	2	NUM
fumecheng-10469	171	79	1	1	NUM
fumecheng-10469	171	80	12	12	NUM
fumecheng-10469	171	81	2	2	NUM
fumecheng-10469	172	1			ADJ
fumecheng-10469	172	2			ADJ
fumecheng-10469	172	3			ADJ
fumecheng-10469	172	4			ADJ
fumecheng-10469	172	5			ADJ
fumecheng-10469	172	6			ADJ
fumecheng-10469	172	7			ADJ
fumecheng-10469	172	8			ADJ
fumecheng-10469	172	9			ADJ
fumecheng-10469	172	10	−	−	PROPN
fumecheng-10469	172	11			NOUN
fumecheng-10469	172	12			PROPN
fumecheng-10469	172	13			NOUN
fumecheng-10469	172	14			NOUN
fumecheng-10469	172	15			NOUN
fumecheng-10469	172	16			NOUN
fumecheng-10469	172	17	+	+	CCONJ
fumecheng-10469	172	18			NUM
fumecheng-10469	172	19	−	−	PROPN
fumecheng-10469	173	1	+	+	CCONJ
fumecheng-10469	173	2	−	−	PROPN
fumecheng-10469	173	3			PROPN
fumecheng-10469	174	1			PROPN
fumecheng-10469	175	1			INTJ
fumecheng-10469	176	1			PROPN
fumecheng-10469	177	1			PROPN
fumecheng-10469	177	2			NOUN
fumecheng-10469	177	3			NOUN
fumecheng-10469	177	4			PROPN
fumecheng-10469	177	5			NOUN
fumecheng-10469	177	6			PROPN
fumecheng-10469	177	7			ADJ
fumecheng-10469	177	8			ADJ
fumecheng-10469	177	9			ADJ
fumecheng-10469	177	10			ADJ
fumecheng-10469	177	11			ADJ
fumecheng-10469	177	12			PROPN
fumecheng-10469	177	13			NOUN
fumecheng-10469	177	14			VERB
fumecheng-10469	177	15			PROPN
fumecheng-10469	177	16	+	+	PRON
fumecheng-10469	177	17			PROPN
fumecheng-10469	177	18			VERB
fumecheng-10469	177	19			NOUN
fumecheng-10469	177	20			NOUN
fumecheng-10469	177	21			ADJ
fumecheng-10469	177	22	−	−	ADP
fumecheng-10469	177	23			ADJ
fumecheng-10469	177	24			PROPN
fumecheng-10469	177	25	+	+	CCONJ
fumecheng-10469	177	26	−	−	ADP
fumecheng-10469	177	27	−	−	PRON
fumecheng-10469	178	1	+	+	NOUN
fumecheng-10469	178	2			PROPN
fumecheng-10469	178	3			X
fumecheng-10469	179	1			ADP
fumecheng-10469	179	2			ADJ
fumecheng-10469	179	3			PROPN
fumecheng-10469	179	4			ADJ
fumecheng-10469	179	5			NOUN
fumecheng-10469	179	6			NOUN
fumecheng-10469	179	7			ADP
fumecheng-10469	179	8			ADJ
fumecheng-10469	179	9			ADJ
fumecheng-10469	179	10	+	+	PUNCT
fumecheng-10469	179	11			NOUN
fumecheng-10469	179	12			ADJ
fumecheng-10469	179	13			NOUN
fumecheng-10469	179	14			VERB
fumecheng-10469	179	15	0	0	NUM
fumecheng-10469	179	16	0	0	NUM
fumecheng-10469	179	17	0	0	NUM
fumecheng-10469	179	18	0	0	NUM
fumecheng-10469	180	1	xz	xz	PROPN
fumecheng-10469	180	2	x	x	PROPN
fumecheng-10469	180	3	xz	xz	PROPN
fumecheng-10469	180	4	x	x	PROPN
fumecheng-10469	180	5	xz	xz	PROPN
fumecheng-10469	180	6	x	x	PROPN
fumecheng-10469	181	1	xx	xx	ADV
fumecheng-10469	181	2	0	0	NUM
fumecheng-10469	182	1	x	x	SYM
fumecheng-10469	182	2	x	x	SYM
fumecheng-10469	182	3	x	x	SYM
fumecheng-10469	182	4	0	0	NUM
fumecheng-10469	182	5	xx	xx	NUM
fumecheng-10469	183	1	xx	xx	NUM
fumecheng-10469	184	1	xx	xx	NUM
fumecheng-10469	184	2	xx	xx	NUM
fumecheng-10469	185	1	x	x	SYM
fumecheng-10469	185	2	0	0	NUM
fumecheng-10469	186	1	xx	xx	NUM
fumecheng-10469	186	2	z	z	NOUN
fumecheng-10469	186	3	x	x	PUNCT
fumecheng-10469	187	1	x	x	PUNCT
fumecheng-10469	187	2	w	w	PROPN
fumecheng-10469	187	3	w	w	PROPN
fumecheng-10469	187	4	w	w	PROPN
fumecheng-10469	187	5	u	u	PROPN
fumecheng-10469	187	6	a	a	PRON
fumecheng-10469	187	7	+	+	NOUN
fumecheng-10469	187	8	a	a	DET
fumecheng-10469	187	9	+	+	NOUN
fumecheng-10469	187	10	a	a	DET
fumecheng-10469	187	11	+	+	NOUN
fumecheng-10469	187	12	a	a	DET
fumecheng-10469	187	13	x	x	NOUN
fumecheng-10469	187	14	x	x	SYM
fumecheng-10469	187	15	x	x	SYM
fumecheng-10469	187	16	x	x	PUNCT
fumecheng-10469	187	17	u	u	NOUN
fumecheng-10469	187	18	w	w	NOUN
fumecheng-10469	187	19	a	a	PRON
fumecheng-10469	187	20	a	a	DET
fumecheng-10469	187	21	a	a	DET
fumecheng-10469	187	22	a	a	DET
fumecheng-10469	187	23	+	+	NOUN
fumecheng-10469	188	1	x	x	SYM
fumecheng-10469	188	2	x	x	SYM
fumecheng-10469	188	3	x	x	PUNCT
fumecheng-10469	188	4	x	x	PUNCT
fumecheng-10469	188	5	x	x	X
fumecheng-10469	188	6	w	w	ADP
fumecheng-10469	188	7	a	a	DET
fumecheng-10469	188	8	+	+	X
fumecheng-10469	188	9	b	b	NOUN
fumecheng-10469	188	10	x	x	SYM
fumecheng-10469	188	11	c	c	NOUN
fumecheng-10469	188	12	c	c	NOUN
fumecheng-10469	188	13	c	c	NOUN
fumecheng-10469	188	14	c	c	NOUN
fumecheng-10469	188	15	c	c	NOUN
fumecheng-10469	188	16	c	c	PROPN
fumecheng-10469	188	17	cb	cb	PROPN
fumecheng-10469	188	18	b	b	PROPN
fumecheng-10469	188	19	x	x	SYM
fumecheng-10469	188	20	xx	xx	PROPN
fumecheng-10469	188	21	(	(	PUNCT
fumecheng-10469	188	22	)	)	PUNCT
fumecheng-10469	188	23	(	(	PUNCT
fumecheng-10469	188	24	)	)	PUNCT
fumecheng-10469	188	25	(	(	PUNCT
fumecheng-10469	188	26	)	)	PUNCT
fumecheng-10469	188	27	(	(	PUNCT
fumecheng-10469	188	28	)	)	PUNCT
fumecheng-10469	188	29	(	(	PUNCT
fumecheng-10469	188	30	)	)	PUNCT
fumecheng-10469	188	31	(	(	PUNCT
fumecheng-10469	188	32	)	)	PUNCT
fumecheng-10469	188	33	(	(	PUNCT
fumecheng-10469	188	34	)	)	PUNCT
fumecheng-10469	188	35	(	(	PUNCT
fumecheng-10469	188	36	)	)	PUNCT
fumecheng-10469	188	37	(	(	PUNCT
fumecheng-10469	188	38	)	)	PUNCT
fumecheng-10469	188	39	(	(	PUNCT
fumecheng-10469	188	40	)	)	PUNCT
fumecheng-10469	188	41	2	2	NUM
fumecheng-10469	188	42	3	3	NUM
fumecheng-10469	188	43	3	3	NUM
fumecheng-10469	188	44	3	3	NUM
fumecheng-10469	188	45	0	0	NUM
fumecheng-10469	188	46	2	2	NUM
fumecheng-10469	188	47	42	42	NUM
fumecheng-10469	188	48	3	3	NUM
fumecheng-10469	188	49	3	3	NUM
fumecheng-10469	188	50	3	3	NUM
fumecheng-10469	188	51	2	2	NUM
fumecheng-10469	188	52	2	2	NUM
fumecheng-10469	188	53	2	2	NUM
fumecheng-10469	188	54	2	2	NUM
fumecheng-10469	188	55	2	2	NUM
fumecheng-10469	188	56	2	2	NUM
fumecheng-10469	188	57	22	22	NUM
fumecheng-10469	188	58	2	2	NUM
fumecheng-10469	188	59	2	2	NUM
fumecheng-10469	188	60	4	4	NUM
fumecheng-10469	188	61	4	4	NUM
fumecheng-10469	188	62	4	4	NUM
fumecheng-10469	188	63	4	4	NUM
fumecheng-10469	188	64	4	4	NUM
fumecheng-10469	188	65	1	1	NUM
fumecheng-10469	188	66	1	1	NUM
fumecheng-10469	188	67	14	14	NUM
fumecheng-10469	188	68	4	4	NUM
fumecheng-10469	188	69	4	4	NUM
fumecheng-10469	188	70	4	4	NUM
fumecheng-10469	188	71	4	4	NUM
fumecheng-10469	188	72	2	2	NUM
fumecheng-10469	188	73	1	1	NUM
fumecheng-10469	188	74	5	5	NUM
fumecheng-10469	188	75	1	1	NUM
fumecheng-10469	188	76	3	3	NUM
fumecheng-10469	188	77	2	2	NUM
fumecheng-10469	188	78	4	4	NUM
fumecheng-10469	188	79	4	4	NUM
fumecheng-10469	188	80	5	5	NUM
fumecheng-10469	188	81	6	6	NUM
fumecheng-10469	188	82	2	2	NUM
fumecheng-10469	189	1			ADJ
fumecheng-10469	189	2			ADJ
fumecheng-10469	189	3			ADJ
fumecheng-10469	189	4			ADJ
fumecheng-10469	189	5			ADJ
fumecheng-10469	189	6			ADJ
fumecheng-10469	189	7			NOUN
fumecheng-10469	189	8			NOUN
fumecheng-10469	189	9			NOUN
fumecheng-10469	189	10			PROPN
fumecheng-10469	189	11			NOUN
fumecheng-10469	189	12			NOUN
fumecheng-10469	189	13			ADJ
fumecheng-10469	189	14			PROPN
fumecheng-10469	189	15	+	+	PUNCT
fumecheng-10469	190	1	−	−	PROPN
fumecheng-10469	190	2	+	+	ADJ
fumecheng-10469	190	3			PROPN
fumecheng-10469	191	1			PROPN
fumecheng-10469	192	1			PROPN
fumecheng-10469	193	1			INTJ
fumecheng-10469	194	1			PROPN
fumecheng-10469	194	2			NOUN
fumecheng-10469	195	1			PROPN
fumecheng-10469	196	1			PROPN
fumecheng-10469	197	1			INTJ
fumecheng-10469	198	1			PROPN
fumecheng-10469	198	2			INTJ
fumecheng-10469	198	3			ADJ
fumecheng-10469	198	4			ADJ
fumecheng-10469	198	5			NOUN
fumecheng-10469	198	6			PROPN
fumecheng-10469	198	7			NOUN
fumecheng-10469	198	8			PROPN
fumecheng-10469	198	9			NOUN
fumecheng-10469	199	1			NOUN
fumecheng-10469	199	2			NOUN
fumecheng-10469	199	3			ADJ
fumecheng-10469	199	4			ADJ
fumecheng-10469	199	5			ADJ
fumecheng-10469	199	6			PROPN
fumecheng-10469	199	7	−	−	PROPN
fumecheng-10469	200	1	+	+	CCONJ
fumecheng-10469	200	2	−	−	PROPN
fumecheng-10469	200	3	−	−	PRON
fumecheng-10469	201	1	+	+	NOUN
fumecheng-10469	201	2			PROPN
fumecheng-10469	201	3			X
fumecheng-10469	202	1			ADP
fumecheng-10469	202	2			ADJ
fumecheng-10469	202	3			PROPN
fumecheng-10469	202	4			PROPN
fumecheng-10469	202	5			ADJ
fumecheng-10469	202	6			PROPN
fumecheng-10469	202	7			ADJ
fumecheng-10469	202	8			NOUN
fumecheng-10469	203	1	−	−	PROPN
fumecheng-10469	203	2	−	−	PROPN
fumecheng-10469	203	3			PROPN
fumecheng-10469	203	4			ADJ
fumecheng-10469	203	5			PROPN
fumecheng-10469	203	6			ADJ
fumecheng-10469	203	7			ADJ
fumecheng-10469	203	8			PROPN
fumecheng-10469	203	9	−	−	ADP
fumecheng-10469	203	10			PROPN
fumecheng-10469	203	11			PROPN
fumecheng-10469	203	12			PROPN
fumecheng-10469	203	13			ADJ
fumecheng-10469	203	14			PROPN
fumecheng-10469	203	15	z	z	NOUN
fumecheng-10469	203	16	x	x	SYM
fumecheng-10469	203	17	0	0	PUNCT
fumecheng-10469	203	18	x	x	SYM
fumecheng-10469	203	19	0	0	NUM
fumecheng-10469	203	20	x	x	SYM
fumecheng-10469	203	21	0	0	NUM
fumecheng-10469	203	22	xz	xz	PROPN
fumecheng-10469	203	23	xz	xz	PROPN
fumecheng-10469	203	24	xz	xz	PROPN
fumecheng-10469	203	25	0	0	NUM
fumecheng-10469	203	26	0	0	NUM
fumecheng-10469	204	1	x	x	SYM
fumecheng-10469	204	2	x	x	SYM
fumecheng-10469	204	3	x	x	SYM
fumecheng-10469	204	4	0	0	NUM
fumecheng-10469	204	5	xx	xx	NUM
fumecheng-10469	205	1	xx	xx	NUM
fumecheng-10469	206	1	xx	xx	NUM
fumecheng-10469	207	1	xx	xx	NUM
fumecheng-10469	208	1	xx	xx	NUM
fumecheng-10469	209	1	xx	xx	NUM
fumecheng-10469	210	1	x	x	PUNCT
fumecheng-10469	211	1	c	c	NOUN
fumecheng-10469	211	2	c	c	NOUN
fumecheng-10469	211	3	c	c	NOUN
fumecheng-10469	211	4	c	c	NOUN
fumecheng-10469	211	5	c	c	NOUN
fumecheng-10469	211	6	c	c	PROPN
fumecheng-10469	211	7	b	b	X
fumecheng-10469	211	8	x	x	X
fumecheng-10469	211	9	x	x	X
fumecheng-10469	211	10	w	w	PROPN
fumecheng-10469	211	11	w	w	PROPN
fumecheng-10469	211	12	w	w	PROPN
fumecheng-10469	211	13	a	a	DET
fumecheng-10469	211	14	+	+	NOUN
fumecheng-10469	211	15	a	a	DET
fumecheng-10469	211	16	+	+	NOUN
fumecheng-10469	211	17	a	a	DET
fumecheng-10469	211	18	+	+	NOUN
fumecheng-10469	211	19	x	x	SYM
fumecheng-10469	211	20	x	x	SYM
fumecheng-10469	211	21	x	x	PUNCT
fumecheng-10469	211	22	x	x	PUNCT
fumecheng-10469	211	23	x	x	PUNCT
fumecheng-10469	211	24	u	u	X
fumecheng-10469	211	25	u	u	NOUN
fumecheng-10469	211	26	w	w	NOUN
fumecheng-10469	211	27	a	a	DET
fumecheng-10469	211	28	a	a	DET
fumecheng-10469	211	29	a	a	DET
fumecheng-10469	211	30	a	a	DET
fumecheng-10469	211	31	a	a	DET
fumecheng-10469	211	32	+	+	NOUN
fumecheng-10469	211	33	x	x	SYM
fumecheng-10469	211	34	x	x	SYM
fumecheng-10469	211	35	x	x	PUNCT
fumecheng-10469	211	36	x	x	SYM
fumecheng-10469	211	37	x	x	PUNCT
fumecheng-10469	211	38	x	x	SYM
fumecheng-10469	211	39	ac	ac	PROPN
fumecheng-10469	211	40	(	(	PUNCT
fumecheng-10469	211	41	)	)	PUNCT
fumecheng-10469	211	42	(	(	PUNCT
fumecheng-10469	211	43	)	)	PUNCT
fumecheng-10469	211	44	(	(	PUNCT
fumecheng-10469	211	45	)	)	PUNCT
fumecheng-10469	211	46	(	(	PUNCT
fumecheng-10469	211	47	)	)	PUNCT
fumecheng-10469	212	1	4	4	NUM
fumecheng-10469	212	2	3	3	NUM
fumecheng-10469	212	3	3	3	NUM
fumecheng-10469	212	4	3	3	NUM
fumecheng-10469	212	5	3	3	NUM
fumecheng-10469	212	6	1	1	NUM
fumecheng-10469	212	7	24	24	NUM
fumecheng-10469	212	8	3	3	NUM
fumecheng-10469	212	9	3	3	NUM
fumecheng-10469	212	10	3	3	NUM
fumecheng-10469	212	11	3	3	NUM
fumecheng-10469	212	12	2	2	NUM
fumecheng-10469	212	13	2	2	NUM
fumecheng-10469	212	14	1	1	NUM
fumecheng-10469	212	15	2	2	NUM
fumecheng-10469	212	16	1	1	NUM
fumecheng-10469	212	17	2	2	NUM
fumecheng-10469	212	18	2	2	NUM
fumecheng-10469	212	19	3	3	NUM
fumecheng-10469	212	20	2	2	NUM
fumecheng-10469	212	21	3	3	NUM
fumecheng-10469	212	22	2	2	NUM
fumecheng-10469	212	23	1	1	NUM
fumecheng-10469	212	24	1	1	NUM
fumecheng-10469	212	25	5	5	NUM
fumecheng-10469	212	26	0	0	NUM
fumecheng-10469	212	27	1	1	NUM
fumecheng-10469	212	28	3	3	NUM
fumecheng-10469	212	29	5	5	NUM
fumecheng-10469	212	30	2	2	NUM
fumecheng-10469	212	31	4	4	NUM
fumecheng-10469	212	32	6	6	NUM
fumecheng-10469	212	33	2	2	NUM
fumecheng-10469	212	34	24	24	NUM
fumecheng-10469	212	35	63	63	NUM
fumecheng-10469	212	36	2	2	NUM
fumecheng-10469	212	37	3	3	NUM
fumecheng-10469	212	38	2	2	NUM
fumecheng-10469	212	39	2	2	NUM
fumecheng-10469	212	40			ADJ
fumecheng-10469	212	41			ADJ
fumecheng-10469	212	42			ADJ
fumecheng-10469	212	43			ADJ
fumecheng-10469	212	44			ADJ
fumecheng-10469	212	45			ADJ
fumecheng-10469	212	46			ADJ
fumecheng-10469	212	47			NOUN
fumecheng-10469	212	48			NOUN
fumecheng-10469	212	49			ADJ
fumecheng-10469	212	50			ADJ
fumecheng-10469	212	51			ADJ
fumecheng-10469	212	52			PROPN
fumecheng-10469	212	53	+	+	PROPN
fumecheng-10469	212	54			PROPN
fumecheng-10469	212	55			PROPN
fumecheng-10469	212	56			VERB
fumecheng-10469	213	1			PROPN
fumecheng-10469	213	2			ADJ
fumecheng-10469	213	3			ADJ
fumecheng-10469	213	4			ADJ
fumecheng-10469	213	5			PROPN
fumecheng-10469	213	6			PROPN
fumecheng-10469	213	7			NUM
fumecheng-10469	213	8			PROPN
fumecheng-10469	213	9			NUM
fumecheng-10469	213	10			PROPN
fumecheng-10469	213	11			NOUN
fumecheng-10469	213	12			NOUN
fumecheng-10469	213	13	−	−	PROPN
fumecheng-10469	214	1	+	+	CCONJ
fumecheng-10469	215	1	−	−	PROPN
fumecheng-10469	215	2	−	−	NOUN
fumecheng-10469	215	3			PROPN
fumecheng-10469	216	1			PROPN
fumecheng-10469	217	1			PROPN
fumecheng-10469	217	2			NOUN
fumecheng-10469	217	3			NOUN
fumecheng-10469	217	4			PROPN
fumecheng-10469	217	5			NOUN
fumecheng-10469	217	6			VERB
fumecheng-10469	217	7			NOUN
fumecheng-10469	217	8			PROPN
fumecheng-10469	217	9			NUM
fumecheng-10469	217	10			ADJ
fumecheng-10469	217	11			ADJ
fumecheng-10469	217	12			PROPN
fumecheng-10469	217	13	+	+	NOUN
fumecheng-10469	217	14			PROPN
fumecheng-10469	217	15			X
fumecheng-10469	218	1			ADP
fumecheng-10469	218	2			ADJ
fumecheng-10469	218	3			PROPN
fumecheng-10469	218	4			ADJ
fumecheng-10469	218	5			NOUN
fumecheng-10469	218	6			PROPN
fumecheng-10469	218	7			ADJ
fumecheng-10469	218	8			NOUN
fumecheng-10469	218	9			NOUN
fumecheng-10469	218	10			INTJ
fumecheng-10469	218	11			NUM
fumecheng-10469	219	1	+	+	CCONJ
fumecheng-10469	220	1	−	−	NOUN
fumecheng-10469	220	2	−	−	ADP
fumecheng-10469	220	3			ADJ
fumecheng-10469	220	4			ADJ
fumecheng-10469	220	5			ADJ
fumecheng-10469	220	6			ADJ
fumecheng-10469	220	7			PROPN
fumecheng-10469	220	8	x	x	X
fumecheng-10469	220	9	0	0	PUNCT
fumecheng-10469	220	10	z	z	NOUN
fumecheng-10469	220	11	x	x	SYM
fumecheng-10469	220	12	x	x	PUNCT
fumecheng-10469	220	13	x	x	X
fumecheng-10469	220	14	z	z	NOUN
fumecheng-10469	220	15	0	0	NUM
fumecheng-10469	220	16	0	0	NUM
fumecheng-10469	221	1	x	x	SYM
fumecheng-10469	221	2	x	x	PUNCT
fumecheng-10469	221	3	x	x	SYM
fumecheng-10469	221	4	0	0	NUM
fumecheng-10469	221	5	0x	0x	NOUN
fumecheng-10469	221	6	x	x	SYM
fumecheng-10469	221	7	w	w	PROPN
fumecheng-10469	221	8	+	+	NUM
fumecheng-10469	221	9	b	b	PROPN
fumecheng-10469	221	10	b	b	PROPN
fumecheng-10469	221	11	b	b	PROPN
fumecheng-10469	221	12	b	b	PROPN
fumecheng-10469	221	13	x	x	NOUN
fumecheng-10469	221	14	x	x	PUNCT
fumecheng-10469	221	15	x	x	PUNCT
fumecheng-10469	221	16	x	x	PUNCT
fumecheng-10469	221	17	x	x	PUNCT
fumecheng-10469	221	18	x	x	X
fumecheng-10469	221	19	w	w	NOUN
fumecheng-10469	221	20	w	w	NOUN
fumecheng-10469	221	21	i	i	PRON
fumecheng-10469	221	22	i	i	PRON
fumecheng-10469	222	1	+	+	CCONJ
fumecheng-10469	222	2	i	i	PRON
fumecheng-10469	223	1	+	+	NOUN
fumecheng-10469	223	2	c	c	NOUN
fumecheng-10469	224	1	+	+	NOUN
fumecheng-10469	224	2	c	c	NOUN
fumecheng-10469	224	3	c	c	NOUN
fumecheng-10469	224	4	=	=	PUNCT
fumecheng-10469	225	1	c	c	NOUN
fumecheng-10469	225	2	c	c	NOUN
fumecheng-10469	225	3	c	c	NOUN
fumecheng-10469	225	4	i	i	NOUN
fumecheng-10469	225	5	x	x	X
fumecheng-10469	225	6	x	x	PUNCT
fumecheng-10469	225	7	x	x	X
fumecheng-10469	226	1	w	w	NOUN
fumecheng-10469	226	2	w	w	NOUN
fumecheng-10469	226	3	i	i	NOUN
fumecheng-10469	226	4	+	+	CCONJ
fumecheng-10469	226	5	i	i	NOUN
fumecheng-10469	226	6	x	x	X
fumecheng-10469	227	1	x	x	PUNCT
fumecheng-10469	227	2	x	x	PUNCT
fumecheng-10469	227	3	x	x	SYM
fumecheng-10469	227	4	b	b	PROPN
fumecheng-10469	227	5			NOUN
fumecheng-10469	227	6			NOUN
fumecheng-10469	227	7			NOUN
fumecheng-10469	228	1			PROPN
fumecheng-10469	228	2			PROPN
fumecheng-10469	228	3	(	(	PUNCT
fumecheng-10469	228	4	20b	20b	NOUN
fumecheng-10469	228	5	)	)	PUNCT
fumecheng-10469	228	6	466	466	NUM
fumecheng-10469	228	7	p.	p.	NOUN
fumecheng-10469	228	8	jankowski	jankowski	PROPN
fumecheng-10469	228	9	(	(	PUNCT
fumecheng-10469	228	10	)	)	PUNCT
fumecheng-10469	228	11	(	(	PUNCT
fumecheng-10469	228	12	)	)	PUNCT
fumecheng-10469	228	13	(	(	PUNCT
fumecheng-10469	228	14	)	)	PUNCT
fumecheng-10469	228	15	(	(	PUNCT
fumecheng-10469	228	16	)	)	PUNCT
fumecheng-10469	228	17	(	(	PUNCT
fumecheng-10469	228	18	)	)	PUNCT
fumecheng-10469	228	19	(	(	PUNCT
fumecheng-10469	228	20	)	)	PUNCT
fumecheng-10469	228	21	(	(	PUNCT
fumecheng-10469	228	22	)	)	PUNCT
fumecheng-10469	228	23	(	(	PUNCT
fumecheng-10469	228	24	)	)	PUNCT
fumecheng-10469	228	25	(	(	PUNCT
fumecheng-10469	228	26	)	)	PUNCT
fumecheng-10469	228	27	(	(	PUNCT
fumecheng-10469	228	28	)	)	PUNCT
fumecheng-10469	228	29	(	(	PUNCT
fumecheng-10469	228	30	)	)	PUNCT
fumecheng-10469	228	31	2	2	NUM
fumecheng-10469	228	32	2	2	NUM
fumecheng-10469	228	33	2	2	NUM
fumecheng-10469	228	34	3	3	NUM
fumecheng-10469	228	35	0	0	NUM
fumecheng-10469	228	36	2	2	NUM
fumecheng-10469	228	37	4	4	NUM
fumecheng-10469	228	38	3	3	NUM
fumecheng-10469	228	39	2	2	NUM
fumecheng-10469	228	40	1	1	NUM
fumecheng-10469	228	41	2	2	NUM
fumecheng-10469	228	42	23	23	NUM
fumecheng-10469	228	43	3	3	NUM
fumecheng-10469	228	44	3	3	NUM
fumecheng-10469	228	45	2	2	NUM
fumecheng-10469	228	46	2	2	NUM
fumecheng-10469	228	47	2	2	NUM
fumecheng-10469	228	48	1	1	NUM
fumecheng-10469	228	49	2	2	NUM
fumecheng-10469	228	50	2	2	NUM
fumecheng-10469	228	51	2	2	NUM
fumecheng-10469	228	52	4	4	NUM
fumecheng-10469	228	53	4	4	NUM
fumecheng-10469	228	54	6	6	NUM
fumecheng-10469	228	55	0	0	NUM
fumecheng-10469	228	56	2	2	NUM
fumecheng-10469	228	57	2	2	NUM
fumecheng-10469	228	58	4	4	NUM
fumecheng-10469	228	59	3	3	NUM
fumecheng-10469	228	60	3	3	NUM
fumecheng-10469	228	61	0	0	NUM
fumecheng-10469	228	62	1	1	NUM
fumecheng-10469	228	63	23	23	NUM
fumecheng-10469	228	64	3	3	NUM
fumecheng-10469	228	65	2	2	NUM
fumecheng-10469	228	66	5	5	NUM
fumecheng-10469	228	67	32	32	NUM
fumecheng-10469	228	68	1	1	NUM
fumecheng-10469	228	69	12	12	NUM
fumecheng-10469	228	70	2	2	NUM
fumecheng-10469	228	71	5	5	NUM
fumecheng-10469	228	72	2	2	NUM
fumecheng-10469	228	73			ADJ
fumecheng-10469	228	74			ADJ
fumecheng-10469	228	75			ADJ
fumecheng-10469	228	76			ADJ
fumecheng-10469	228	77			ADJ
fumecheng-10469	228	78			ADJ
fumecheng-10469	228	79			ADJ
fumecheng-10469	228	80			ADJ
fumecheng-10469	228	81			ADJ
fumecheng-10469	228	82			ADJ
fumecheng-10469	228	83			NOUN
fumecheng-10469	228	84			ADJ
fumecheng-10469	229	1			NOUN
fumecheng-10469	229	2			PROPN
fumecheng-10469	229	3	+	+	PUNCT
fumecheng-10469	230	1	+	+	ADJ
fumecheng-10469	230	2			PROPN
fumecheng-10469	230	3			ADJ
fumecheng-10469	230	4			NOUN
fumecheng-10469	230	5			PROPN
fumecheng-10469	230	6			NOUN
fumecheng-10469	230	7			NOUN
fumecheng-10469	230	8			ADJ
fumecheng-10469	230	9			PROPN
fumecheng-10469	230	10			PRON
fumecheng-10469	230	11	+	+	NUM
fumecheng-10469	230	12	−	−	PROPN
fumecheng-10469	231	1	+	+	ADJ
fumecheng-10469	231	2			PROPN
fumecheng-10469	232	1			PROPN
fumecheng-10469	233	1			PROPN
fumecheng-10469	234	1			PROPN
fumecheng-10469	234	2			NOUN
fumecheng-10469	235	1			PROPN
fumecheng-10469	235	2			PROPN
fumecheng-10469	236	1			PROPN
fumecheng-10469	236	2			ADJ
fumecheng-10469	236	3			PROPN
fumecheng-10469	236	4			PROPN
fumecheng-10469	236	5			NOUN
fumecheng-10469	236	6			PROPN
fumecheng-10469	236	7			NOUN
fumecheng-10469	237	1			NOUN
fumecheng-10469	237	2			NOUN
fumecheng-10469	237	3			ADJ
fumecheng-10469	237	4			ADJ
fumecheng-10469	237	5			PROPN
fumecheng-10469	237	6	−	−	PROPN
fumecheng-10469	237	7	−	−	PROPN
fumecheng-10469	237	8			X
fumecheng-10469	237	9			X
fumecheng-10469	237	10			ADJ
fumecheng-10469	237	11			PROPN
fumecheng-10469	237	12			ADJ
fumecheng-10469	237	13			NOUN
fumecheng-10469	237	14			ADJ
fumecheng-10469	237	15			NOUN
fumecheng-10469	237	16			NOUN
fumecheng-10469	237	17			VERB
fumecheng-10469	237	18	+	+	CCONJ
fumecheng-10469	237	19			ADJ
fumecheng-10469	237	20			ADJ
fumecheng-10469	238	1	−	−	NOUN
fumecheng-10469	238	2	0	0	NUM
fumecheng-10469	239	1	x	x	SYM
fumecheng-10469	239	2	0	0	NUM
fumecheng-10469	239	3	x	x	SYM
fumecheng-10469	239	4	0	0	NUM
fumecheng-10469	239	5	x	x	SYM
fumecheng-10469	239	6	xx	xx	NUM
fumecheng-10469	240	1	xz	xz	PROPN
fumecheng-10469	240	2	xz	xz	PROPN
fumecheng-10469	240	3	xz	xz	PROPN
fumecheng-10469	240	4	0	0	PUNCT
fumecheng-10469	241	1	x	x	PUNCT
fumecheng-10469	241	2	x	x	SYM
fumecheng-10469	241	3	0	0	NUM
fumecheng-10469	241	4	xx	xx	NUM
fumecheng-10469	242	1	xx	xx	NUM
fumecheng-10469	243	1	z	z	NOUN
fumecheng-10469	243	2	z	z	NOUN
fumecheng-10469	243	3	0	0	PUNCT
fumecheng-10469	244	1	x	x	SYM
fumecheng-10469	244	2	x	x	SYM
fumecheng-10469	245	1	xx	xx	NUM
fumecheng-10469	245	2	xz	xz	NUM
fumecheng-10469	245	3	u	u	PROPN
fumecheng-10469	245	4	w	w	PROPN
fumecheng-10469	245	5	w	w	PROPN
fumecheng-10469	245	6	a	a	DET
fumecheng-10469	245	7	a	a	DET
fumecheng-10469	245	8	+	+	NOUN
fumecheng-10469	245	9	a	a	DET
fumecheng-10469	245	10	+	+	NOUN
fumecheng-10469	245	11	a	a	DET
fumecheng-10469	245	12	+	+	NOUN
fumecheng-10469	245	13	x	x	SYM
fumecheng-10469	245	14	x	x	SYM
fumecheng-10469	245	15	xx	xx	NUM
fumecheng-10469	245	16	x	x	SYM
fumecheng-10469	245	17	x	x	X
fumecheng-10469	246	1	c	c	NOUN
fumecheng-10469	246	2	w	w	PROPN
fumecheng-10469	246	3	w	w	NOUN
fumecheng-10469	246	4	a	a	DET
fumecheng-10469	246	5	a	a	DET
fumecheng-10469	246	6	+	+	NOUN
fumecheng-10469	246	7	b	b	SYM
fumecheng-10469	246	8	b	b	NOUN
fumecheng-10469	246	9	x	x	NOUN
fumecheng-10469	246	10	x	x	PUNCT
fumecheng-10469	246	11	x	x	PUNCT
fumecheng-10469	246	12	x	x	PUNCT
fumecheng-10469	246	13	x	x	PUNCT
fumecheng-10469	246	14	x	x	PUNCT
fumecheng-10469	246	15	u	u	NOUN
fumecheng-10469	246	16	a	a	NOUN
fumecheng-10469	246	17	c	c	NOUN
fumecheng-10469	246	18	c	c	X
fumecheng-10469	247	1	+	+	NOUN
fumecheng-10469	247	2	c	c	PROPN
fumecheng-10469	247	3	cb	cb	PROPN
fumecheng-10469	247	4	a	a	DET
fumecheng-10469	247	5	c	c	NOUN
fumecheng-10469	247	6	x	x	X
fumecheng-10469	247	7	c	c	NOUN
fumecheng-10469	247	8	c	c	NOUN
fumecheng-10469	247	9	x	x	SYM
fumecheng-10469	247	10	(	(	PUNCT
fumecheng-10469	247	11	)	)	PUNCT
fumecheng-10469	247	12	(	(	PUNCT
fumecheng-10469	247	13	)	)	PUNCT
fumecheng-10469	247	14	(	(	PUNCT
fumecheng-10469	247	15	)	)	PUNCT
fumecheng-10469	247	16	(	(	PUNCT
fumecheng-10469	247	17	)	)	PUNCT
fumecheng-10469	247	18	(	(	PUNCT
fumecheng-10469	247	19	)	)	PUNCT
fumecheng-10469	247	20	(	(	PUNCT
fumecheng-10469	247	21	)	)	PUNCT
fumecheng-10469	247	22	(	(	PUNCT
fumecheng-10469	247	23	)	)	PUNCT
fumecheng-10469	247	24	3	3	NUM
fumecheng-10469	247	25	23	23	NUM
fumecheng-10469	247	26	3	3	NUM
fumecheng-10469	247	27	3	3	NUM
fumecheng-10469	247	28	5	5	NUM
fumecheng-10469	247	29	5	5	NUM
fumecheng-10469	247	30	4	4	NUM
fumecheng-10469	247	31	2	2	NUM
fumecheng-10469	247	32	2	2	NUM
fumecheng-10469	247	33	2	2	NUM
fumecheng-10469	247	34	1	1	NUM
fumecheng-10469	247	35	13	13	NUM
fumecheng-10469	247	36	5	5	NUM
fumecheng-10469	247	37	4	4	NUM
fumecheng-10469	247	38	4	4	NUM
fumecheng-10469	247	39	4	4	NUM
fumecheng-10469	247	40	4	4	NUM
fumecheng-10469	247	41	4	4	NUM
fumecheng-10469	247	42	2	2	NUM
fumecheng-10469	247	43	2	2	NUM
fumecheng-10469	247	44	2	2	NUM
fumecheng-10469	247	45	1	1	NUM
fumecheng-10469	247	46	1	1	NUM
fumecheng-10469	247	47	14	14	NUM
fumecheng-10469	247	48	4	4	NUM
fumecheng-10469	247	49	4	4	NUM
fumecheng-10469	247	50	4	4	NUM
fumecheng-10469	247	51	2	2	NUM
fumecheng-10469	247	52	4	4	NUM
fumecheng-10469	247	53	4	4	NUM
fumecheng-10469	247	54	4	4	NUM
fumecheng-10469	247	55	6	6	NUM
fumecheng-10469	247	56	4	4	NUM
fumecheng-10469	247	57	6	6	NUM
fumecheng-10469	247	58	0	0	NUM
fumecheng-10469	247	59	4	4	NUM
fumecheng-10469	247	60	6	6	NUM
fumecheng-10469	247	61	3	3	NUM
fumecheng-10469	247	62	0	0	NUM
fumecheng-10469	247	63	4	4	NUM
fumecheng-10469	247	64	6	6	NUM
fumecheng-10469	247	65	2	2	NUM
fumecheng-10469	247	66			ADJ
fumecheng-10469	247	67			ADJ
fumecheng-10469	247	68			ADJ
fumecheng-10469	247	69			ADJ
fumecheng-10469	247	70			ADJ
fumecheng-10469	247	71			ADJ
fumecheng-10469	247	72			NOUN
fumecheng-10469	247	73			NOUN
fumecheng-10469	247	74			NOUN
fumecheng-10469	247	75			NOUN
fumecheng-10469	247	76	−	−	PUNCT
fumecheng-10469	248	1	+	+	ADV
fumecheng-10469	248	2			PROPN
fumecheng-10469	248	3			PROPN
fumecheng-10469	248	4			PROPN
fumecheng-10469	249	1			NOUN
fumecheng-10469	250	1			INTJ
fumecheng-10469	251	1			PROPN
fumecheng-10469	251	2			PROPN
fumecheng-10469	252	1			NUM
fumecheng-10469	252	2			ADJ
fumecheng-10469	252	3			ADJ
fumecheng-10469	252	4			PROPN
fumecheng-10469	252	5			PROPN
fumecheng-10469	252	6			NOUN
fumecheng-10469	252	7			ADJ
fumecheng-10469	252	8			ADJ
fumecheng-10469	252	9			PROPN
fumecheng-10469	252	10	+	+	NUM
fumecheng-10469	252	11			ADJ
fumecheng-10469	252	12			ADJ
fumecheng-10469	252	13			PROPN
fumecheng-10469	252	14			PROPN
fumecheng-10469	252	15			ADJ
fumecheng-10469	252	16			ADJ
fumecheng-10469	252	17			NOUN
fumecheng-10469	252	18			PROPN
fumecheng-10469	252	19			NOUN
fumecheng-10469	252	20			NOUN
fumecheng-10469	252	21			ADJ
fumecheng-10469	252	22			NOUN
fumecheng-10469	252	23			PROPN
fumecheng-10469	252	24			ADJ
fumecheng-10469	252	25			ADJ
fumecheng-10469	252	26			PROPN
fumecheng-10469	252	27	+	+	CCONJ
fumecheng-10469	252	28	−	−	PROPN
fumecheng-10469	253	1	−	−	PROPN
fumecheng-10469	253	2			PROPN
fumecheng-10469	253	3			PROPN
fumecheng-10469	253	4			NOUN
fumecheng-10469	254	1			INTJ
fumecheng-10469	255	1			PROPN
fumecheng-10469	255	2			PROPN
fumecheng-10469	255	3			PROPN
fumecheng-10469	255	4			PROPN
fumecheng-10469	255	5			ADJ
fumecheng-10469	255	6			NOUN
fumecheng-10469	255	7			PROPN
fumecheng-10469	255	8			NOUN
fumecheng-10469	255	9			ADJ
fumecheng-10469	255	10			NOUN
fumecheng-10469	255	11			ADJ
fumecheng-10469	255	12	=	=	PUNCT
fumecheng-10469	256	1	+	+	CCONJ
fumecheng-10469	256	2	−	−	ADJ
fumecheng-10469	256	3			ADJ
fumecheng-10469	256	4			PROPN
fumecheng-10469	256	5			PROPN
fumecheng-10469	256	6	+	+	CCONJ
fumecheng-10469	256	7	0	0	NUM
fumecheng-10469	256	8	x	x	SYM
fumecheng-10469	256	9	0	0	NUM
fumecheng-10469	256	10	xz	xz	PROPN
fumecheng-10469	256	11	x	x	X
fumecheng-10469	256	12	0	0	PUNCT
fumecheng-10469	257	1	x	x	SYM
fumecheng-10469	257	2	x	x	SYM
fumecheng-10469	257	3	0	0	NUM
fumecheng-10469	257	4	xz	xz	NOUN
fumecheng-10469	257	5	xx	xx	NUM
fumecheng-10469	258	1	xx	xx	NUM
fumecheng-10469	259	1	z	z	NOUN
fumecheng-10469	259	2	z	z	NOUN
fumecheng-10469	260	1	x	x	PUNCT
fumecheng-10469	261	1	x	x	SYM
fumecheng-10469	261	2	0	0	PUNCT
fumecheng-10469	261	3	x	x	SYM
fumecheng-10469	261	4	w	w	PROPN
fumecheng-10469	261	5	w	w	PROPN
fumecheng-10469	261	6	+	+	NUM
fumecheng-10469	261	7	a	a	DET
fumecheng-10469	261	8	+	+	NOUN
fumecheng-10469	261	9	x	x	SYM
fumecheng-10469	261	10	x	x	SYM
fumecheng-10469	261	11	x	x	PUNCT
fumecheng-10469	261	12	x	x	X
fumecheng-10469	261	13	w	w	NOUN
fumecheng-10469	261	14	w	w	PROPN
fumecheng-10469	261	15	a	a	PRON
fumecheng-10469	261	16	+	+	NOUN
fumecheng-10469	261	17	a	a	DET
fumecheng-10469	261	18	a	a	DET
fumecheng-10469	261	19	+	+	NOUN
fumecheng-10469	261	20	b	b	NOUN
fumecheng-10469	261	21	x	x	SYM
fumecheng-10469	261	22	x	x	PUNCT
fumecheng-10469	261	23	x	x	PUNCT
fumecheng-10469	261	24	x	x	PUNCT
fumecheng-10469	261	25	x	x	PUNCT
fumecheng-10469	261	26	x	x	SYM
fumecheng-10469	261	27	b	b	X
fumecheng-10469	261	28	b	b	NOUN
fumecheng-10469	262	1	i	i	PRON
fumecheng-10469	262	2	w	w	VERB
fumecheng-10469	262	3	i	i	PRON
fumecheng-10469	263	1	i	i	PRON
fumecheng-10469	263	2	+	+	X
fumecheng-10469	263	3	c	c	NOUN
fumecheng-10469	263	4	x	x	SYM
fumecheng-10469	263	5	xx	xx	NUM
fumecheng-10469	264	1	c	c	NOUN
fumecheng-10469	264	2	c	c	NOUN
fumecheng-10469	264	3	c	c	NOUN
fumecheng-10469	264	4	c	c	NOUN
fumecheng-10469	264	5	c	c	NOUN
fumecheng-10469	264	6	c	c	NOUN
fumecheng-10469	264	7	x	x	SYM
fumecheng-10469	264	8	c	c	NOUN
fumecheng-10469	264	9	2	2	NUM
fumecheng-10469	264	10	2	2	NUM
fumecheng-10469	264	11	2	2	NUM
fumecheng-10469	264	12	2	2	NUM
fumecheng-10469	264	13	2	2	NUM
fumecheng-10469	264	14	2	2	NUM
fumecheng-10469	264	15	3	3	NUM
fumecheng-10469	264	16	3	3	NUM
fumecheng-10469	264	17	2	2	NUM
fumecheng-10469	264	18	1	1	NUM
fumecheng-10469	264	19	12	12	NUM
fumecheng-10469	264	20	2	2	NUM
fumecheng-10469	264	21	3	3	NUM
fumecheng-10469	264	22	3	3	NUM
fumecheng-10469	264	23	4	4	NUM
fumecheng-10469	264	24	4	4	NUM
fumecheng-10469	264	25	0	0	NUM
fumecheng-10469	264	26	4	4	NUM
fumecheng-10469	264	27	4	4	NUM
fumecheng-10469	264	28	4	4	NUM
fumecheng-10469	264	29	6	6	NUM
fumecheng-10469	264	30	4	4	NUM
fumecheng-10469	264	31	4	4	NUM
fumecheng-10469	264	32	ˆ	ˆ	NOUN
fumecheng-10469	264	33	ˆ	ˆ	NOUN
fumecheng-10469	264	34	ˆ	ˆ	NOUN
fumecheng-10469	264	35	ˆ	ˆ	ADV
fumecheng-10469	264	36	xx	xx	NUM
fumecheng-10469	264	37	xx	xx	NUM
fumecheng-10469	264	38			PROPN
fumecheng-10469	264	39			PROPN
fumecheng-10469	264	40			PROPN
fumecheng-10469	264	41			PROPN
fumecheng-10469	264	42			NOUN
fumecheng-10469	264	43			NOUN
fumecheng-10469	264	44			ADJ
fumecheng-10469	264	45	+	+	CCONJ
fumecheng-10469	265	1	+	+	ADJ
fumecheng-10469	265	2			PROPN
fumecheng-10469	265	3			VERB
fumecheng-10469	266	1			X
fumecheng-10469	266	2			NOUN
fumecheng-10469	266	3			NOUN
fumecheng-10469	266	4			PRON
fumecheng-10469	266	5			NOUN
fumecheng-10469	266	6			NOUN
fumecheng-10469	266	7			ADJ
fumecheng-10469	266	8			ADJ
fumecheng-10469	266	9			PROPN
fumecheng-10469	266	10	−	−	PROPN
fumecheng-10469	267	1	+	+	CCONJ
fumecheng-10469	267	2	−	−	PROPN
fumecheng-10469	267	3	+	+	NOUN
fumecheng-10469	267	4			NOUN
fumecheng-10469	267	5			PROPN
fumecheng-10469	267	6			NOUN
fumecheng-10469	268	1			ADP
fumecheng-10469	268	2			ADJ
fumecheng-10469	268	3			PROPN
fumecheng-10469	268	4			ADP
fumecheng-10469	268	5			PROPN
fumecheng-10469	268	6			PROPN
fumecheng-10469	268	7			ADJ
fumecheng-10469	268	8			NOUN
fumecheng-10469	268	9	+	+	SYM
fumecheng-10469	269	1	+	+	NUM
fumecheng-10469	269	2			ADJ
fumecheng-10469	269	3			ADJ
fumecheng-10469	269	4			ADJ
fumecheng-10469	269	5			ADJ
fumecheng-10469	269	6			PROPN
fumecheng-10469	269	7			PROPN
fumecheng-10469	269	8	0	0	NUM
fumecheng-10469	269	9	0	0	NUM
fumecheng-10469	269	10	0	0	NUM
fumecheng-10469	269	11	0	0	NUM
fumecheng-10469	269	12	xx	xx	NUM
fumecheng-10469	269	13	0	0	NUM
fumecheng-10469	269	14	0	0	NUM
fumecheng-10469	269	15	0	0	NUM
fumecheng-10469	270	1	w	w	NOUN
fumecheng-10469	270	2	w	w	PROPN
fumecheng-10469	270	3	x	x	PUNCT
fumecheng-10469	270	4	x	x	X
fumecheng-10469	270	5	w	w	PROPN
fumecheng-10469	270	6	w	w	PROPN
fumecheng-10469	270	7	w	w	PROPN
fumecheng-10469	271	1	i	i	PRON
fumecheng-10469	272	1	i	i	PRON
fumecheng-10469	273	1	i	i	PRON
fumecheng-10469	274	1	+	+	X
fumecheng-10469	275	1	x	x	PUNCT
fumecheng-10469	275	2	x	x	SYM
fumecheng-10469	275	3	x	x	PUNCT
fumecheng-10469	275	4	x	x	SYM
fumecheng-10469	275	5	x	x	SYM
fumecheng-10469	275	6	n	n	PROPN
fumecheng-10469	275	7	w	w	PROPN
fumecheng-10469	275	8	w	w	PROPN
fumecheng-10469	275	9	n	n	PROPN
fumecheng-10469	275	10	n	n	NOUN
fumecheng-10469	275	11	c	c	NOUN
fumecheng-10469	275	12	c	c	NOUN
fumecheng-10469	275	13	n	n	NOUN
fumecheng-10469	275	14	x	x	SYM
fumecheng-10469	275	15	x	x	SYM
fumecheng-10469	275	16	b	b	X
fumecheng-10469	275	17	(	(	PUNCT
fumecheng-10469	275	18	20c	20c	NOUN
fumecheng-10469	275	19	)	)	PUNCT
fumecheng-10469	275	20	(	(	PUNCT
fumecheng-10469	275	21	)	)	PUNCT
fumecheng-10469	275	22	(	(	PUNCT
fumecheng-10469	275	23	)	)	PUNCT
fumecheng-10469	275	24	(	(	PUNCT
fumecheng-10469	275	25	)	)	PUNCT
fumecheng-10469	275	26	(	(	PUNCT
fumecheng-10469	275	27	)	)	PUNCT
fumecheng-10469	275	28	(	(	PUNCT
fumecheng-10469	275	29	)	)	PUNCT
fumecheng-10469	275	30	(	(	PUNCT
fumecheng-10469	275	31	)	)	PUNCT
fumecheng-10469	275	32	(	(	PUNCT
fumecheng-10469	275	33	)	)	PUNCT
fumecheng-10469	275	34	(	(	PUNCT
fumecheng-10469	275	35	)	)	PUNCT
fumecheng-10469	275	36	(	(	PUNCT
fumecheng-10469	275	37	)	)	PUNCT
fumecheng-10469	275	38	2	2	NUM
fumecheng-10469	275	39	2	2	NUM
fumecheng-10469	275	40	0	0	NUM
fumecheng-10469	275	41	1	1	NUM
fumecheng-10469	275	42	0	0	NUM
fumecheng-10469	275	43	3	3	NUM
fumecheng-10469	275	44	2	2	NUM
fumecheng-10469	275	45	2	2	NUM
fumecheng-10469	275	46	2	2	NUM
fumecheng-10469	275	47	2	2	NUM
fumecheng-10469	275	48	0	0	NUM
fumecheng-10469	275	49	12	12	NUM
fumecheng-10469	275	50	2	2	NUM
fumecheng-10469	275	51	4	4	NUM
fumecheng-10469	275	52	4	4	NUM
fumecheng-10469	275	53	0	0	NUM
fumecheng-10469	275	54	3	3	NUM
fumecheng-10469	275	55	4	4	NUM
fumecheng-10469	275	56	1	1	NUM
fumecheng-10469	275	57	3	3	NUM
fumecheng-10469	275	58	32	32	NUM
fumecheng-10469	275	59	2	2	NUM
fumecheng-10469	275	60	2	2	NUM
fumecheng-10469	275	61	3	3	NUM
fumecheng-10469	275	62	3	3	NUM
fumecheng-10469	275	63	3	3	NUM
fumecheng-10469	275	64	3	3	NUM
fumecheng-10469	275	65	1	1	NUM
fumecheng-10469	275	66	23	23	NUM
fumecheng-10469	275	67	43	43	NUM
fumecheng-10469	275	68			NOUN
fumecheng-10469	275	69			ADJ
fumecheng-10469	275	70			ADJ
fumecheng-10469	275	71			ADJ
fumecheng-10469	275	72			ADJ
fumecheng-10469	275	73			ADJ
fumecheng-10469	275	74			ADJ
fumecheng-10469	275	75			ADJ
fumecheng-10469	275	76			ADJ
fumecheng-10469	275	77			ADJ
fumecheng-10469	275	78			ADJ
fumecheng-10469	275	79			PROPN
fumecheng-10469	275	80	+	+	X
fumecheng-10469	275	81	+	+	NUM
fumecheng-10469	275	82			ADJ
fumecheng-10469	275	83			ADJ
fumecheng-10469	275	84			ADJ
fumecheng-10469	275	85			ADJ
fumecheng-10469	275	86			NOUN
fumecheng-10469	275	87			NOUN
fumecheng-10469	275	88			PROPN
fumecheng-10469	275	89	+	+	NUM
fumecheng-10469	275	90			ADJ
fumecheng-10469	275	91			NOUN
fumecheng-10469	275	92	−	−	NOUN
fumecheng-10469	276	1	+	+	NOUN
fumecheng-10469	276	2			NOUN
fumecheng-10469	276	3			ADJ
fumecheng-10469	276	4			VERB
fumecheng-10469	276	5			ADJ
fumecheng-10469	276	6			ADJ
fumecheng-10469	276	7			PROPN
fumecheng-10469	276	8			PROPN
fumecheng-10469	276	9			NOUN
fumecheng-10469	276	10			NOUN
fumecheng-10469	276	11			PROPN
fumecheng-10469	276	12	−	−	PROPN
fumecheng-10469	277	1	−	−	PROPN
fumecheng-10469	277	2			PROPN
fumecheng-10469	277	3			PROPN
fumecheng-10469	277	4			NOUN
fumecheng-10469	278	1			INTJ
fumecheng-10469	279	1			PROPN
fumecheng-10469	280	1			PROPN
fumecheng-10469	280	2			PRON
fumecheng-10469	280	3			NOUN
fumecheng-10469	280	4			PROPN
fumecheng-10469	280	5			NOUN
fumecheng-10469	280	6			NOUN
fumecheng-10469	280	7			NOUN
fumecheng-10469	280	8			ADJ
fumecheng-10469	280	9			VERB
fumecheng-10469	280	10	−	−	PROPN
fumecheng-10469	281	1	−	−	PROPN
fumecheng-10469	282	1	+	+	NOUN
fumecheng-10469	282	2			PROPN
fumecheng-10469	282	3			X
fumecheng-10469	283	1			SCONJ
fumecheng-10469	283	2			ADJ
fumecheng-10469	283	3			PROPN
fumecheng-10469	283	4			ADJ
fumecheng-10469	283	5			NOUN
fumecheng-10469	283	6			NOUN
fumecheng-10469	283	7			PROPN
fumecheng-10469	283	8			NOUN
fumecheng-10469	283	9			NOUN
fumecheng-10469	283	10			PROPN
fumecheng-10469	283	11	−	−	PROPN
fumecheng-10469	284	1	−	−	PROPN
fumecheng-10469	285	1			PROPN
fumecheng-10469	286	1			PROPN
fumecheng-10469	286	2			NOUN
fumecheng-10469	287	1			INTJ
fumecheng-10469	288	1			PROPN
fumecheng-10469	289	1			PROPN
fumecheng-10469	289	2			PRON
fumecheng-10469	289	3			NOUN
fumecheng-10469	289	4			PROPN
fumecheng-10469	289	5			NOUN
fumecheng-10469	289	6	0	0	NUM
fumecheng-10469	290	1	x	x	SYM
fumecheng-10469	290	2	x	x	SYM
fumecheng-10469	290	3	0	0	PUNCT
fumecheng-10469	290	4	x	x	SYM
fumecheng-10469	290	5	0	0	NUM
fumecheng-10469	290	6	x	x	SYM
fumecheng-10469	290	7	x	x	X
fumecheng-10469	290	8	z	z	NOUN
fumecheng-10469	290	9	x	x	SYM
fumecheng-10469	290	10	x	x	SYM
fumecheng-10469	290	11	0	0	NUM
fumecheng-10469	290	12	0	0	NUM
fumecheng-10469	290	13	x	x	SYM
fumecheng-10469	291	1	z	z	NOUN
fumecheng-10469	291	2	x	x	PUNCT
fumecheng-10469	291	3	x	x	PUNCT
fumecheng-10469	291	4	x	x	SYM
fumecheng-10469	291	5	0	0	NUM
fumecheng-10469	291	6	x	x	SYM
fumecheng-10469	291	7	0	0	NUM
fumecheng-10469	291	8	z	z	NOUN
fumecheng-10469	291	9	x	x	SYM
fumecheng-10469	292	1	x	x	PUNCT
fumecheng-10469	292	2	z	z	NOUN
fumecheng-10469	292	3	x	x	SYM
fumecheng-10469	292	4	u	u	NOUN
fumecheng-10469	292	5	w	w	PROPN
fumecheng-10469	292	6	w	w	PROPN
fumecheng-10469	292	7	b	b	PROPN
fumecheng-10469	292	8	b	b	PROPN
fumecheng-10469	292	9	b	b	PROPN
fumecheng-10469	292	10	+	+	NUM
fumecheng-10469	292	11	b	b	NOUN
fumecheng-10469	293	1	+	+	NOUN
fumecheng-10469	293	2	x	x	SYM
fumecheng-10469	293	3	x	x	SYM
fumecheng-10469	293	4	x	x	SYM
fumecheng-10469	294	1	xx	xx	NUM
fumecheng-10469	294	2	x	x	SYM
fumecheng-10469	294	3	w	w	NOUN
fumecheng-10469	294	4	u	u	PROPN
fumecheng-10469	294	5	b	b	PROPN
fumecheng-10469	294	6	+	+	CCONJ
fumecheng-10469	294	7	b	b	PROPN
fumecheng-10469	294	8	b	b	X
fumecheng-10469	294	9	x	x	NOUN
fumecheng-10469	294	10	x	x	PUNCT
fumecheng-10469	294	11	x	x	PUNCT
fumecheng-10469	294	12	x	x	PUNCT
fumecheng-10469	294	13	x	x	X
fumecheng-10469	294	14	w	w	PROPN
fumecheng-10469	294	15	w	w	PROPN
fumecheng-10469	294	16	b	b	PROPN
fumecheng-10469	294	17	+	+	NUM
fumecheng-10469	294	18	b	b	NOUN
fumecheng-10469	295	1	+	+	CCONJ
fumecheng-10469	295	2	b	b	NOUN
fumecheng-10469	295	3	x	x	SYM
fumecheng-10469	295	4	x	x	PUNCT
fumecheng-10469	295	5	x	x	PUNCT
fumecheng-10469	295	6	x	x	X
fumecheng-10469	295	7	c	c	NOUN
fumecheng-10469	295	8	c	c	NOUN
fumecheng-10469	295	9	c	c	NOUN
fumecheng-10469	295	10	c	c	NOUN
fumecheng-10469	295	11	c	c	NOUN
fumecheng-10469	295	12	c	c	NOUN
fumecheng-10469	295	13	c	c	X
fumecheng-10469	295	14	(	(	PUNCT
fumecheng-10469	295	15	)	)	PUNCT
fumecheng-10469	295	16	3	3	NUM
fumecheng-10469	295	17	4	4	NUM
fumecheng-10469	295	18	4	4	NUM
fumecheng-10469	295	19	3	3	NUM
fumecheng-10469	295	20	2	2	NUM
fumecheng-10469	295	21	2	2	NUM
fumecheng-10469	295	22	4	4	NUM
fumecheng-10469	295	23	2	2	NUM
fumecheng-10469	295	24	4	4	NUM
fumecheng-10469	295	25	0	0	NUM
fumecheng-10469	295	26			PROPN
fumecheng-10469	295	27			PROPN
fumecheng-10469	295	28	−	−	PROPN
fumecheng-10469	295	29			NOUN
fumecheng-10469	295	30			NUM
fumecheng-10469	295	31			NOUN
fumecheng-10469	295	32			ADJ
fumecheng-10469	295	33			ADJ
fumecheng-10469	295	34	=	=	SYM
fumecheng-10469	295	35			ADJ
fumecheng-10469	295	36			ADJ
fumecheng-10469	295	37			ADJ
fumecheng-10469	295	38			PROPN
fumecheng-10469	295	39			PROPN
fumecheng-10469	295	40			PROPN
fumecheng-10469	295	41			ADJ
fumecheng-10469	295	42			NOUN
fumecheng-10469	295	43	+	+	CCONJ
fumecheng-10469	295	44	x	x	SYM
fumecheng-10469	295	45	0	0	NUM
fumecheng-10469	296	1	z	z	NOUN
fumecheng-10469	296	2	z	z	NOUN
fumecheng-10469	296	3	x	x	PUNCT
fumecheng-10469	297	1	w	w	NOUN
fumecheng-10469	297	2	+	+	NOUN
fumecheng-10469	297	3	x	x	SYM
fumecheng-10469	297	4	x	x	SYM
fumecheng-10469	297	5	x	x	PUNCT
fumecheng-10469	297	6	x	x	X
fumecheng-10469	297	7	c	c	NOUN
fumecheng-10469	297	8	c	c	X
fumecheng-10469	297	9	(	(	PUNCT
fumecheng-10469	297	10	20d	20d	NUM
fumecheng-10469	297	11	)	)	PUNCT
fumecheng-10469	297	12	where	where	SCONJ
fumecheng-10469	297	13	aij	aij	PROPN
fumecheng-10469	297	14	(	(	PUNCT
fumecheng-10469	297	15	m	m	PROPN
fumecheng-10469	297	16	)	)	PUNCT
fumecheng-10469	297	17	,	,	PUNCT
fumecheng-10469	297	18	bj	bj	VERB
fumecheng-10469	297	19	(	(	PUNCT
fumecheng-10469	297	20	m	m	NOUN
fumecheng-10469	297	21	)	)	PUNCT
fumecheng-10469	297	22	,	,	PUNCT
fumecheng-10469	297	23	ci	ci	PROPN
fumecheng-10469	297	24	,	,	PUNCT
fumecheng-10469	297	25	ciϕ	ciϕ	NOUN
fumecheng-10469	297	26	and	and	CCONJ
fumecheng-10469	297	27	ii	ii	PROPN
fumecheng-10469	297	28	stand	stand	VERB
fumecheng-10469	297	29	for	for	ADP
fumecheng-10469	297	30	resultant	resultant	NOUN
fumecheng-10469	297	31	stiffnesses	stiffness	NOUN
fumecheng-10469	297	32	,	,	PUNCT
fumecheng-10469	297	33	piezoelectric	piezoelectric	ADJ
fumecheng-10469	297	34	coefficients	coefficient	NOUN
fumecheng-10469	297	35	,	,	PUNCT
fumecheng-10469	297	36	dielectric	dielectric	ADJ
fumecheng-10469	297	37	coefficients	coefficient	NOUN
fumecheng-10469	297	38	and	and	CCONJ
fumecheng-10469	297	39	mass	mass	ADJ
fumecheng-10469	297	40	moments	moment	NOUN
fumecheng-10469	297	41	of	of	ADP
fumecheng-10469	297	42	inertias	inertia	NOUN
fumecheng-10469	297	43	.	.	PUNCT
fumecheng-10469	298	1	the	the	DET
fumecheng-10469	298	2	terms	term	NOUN
fumecheng-10469	298	3	are	be	AUX
fumecheng-10469	298	4	also	also	ADV
fumecheng-10469	298	5	presented	present	VERB
fumecheng-10469	298	6	in	in	ADP
fumecheng-10469	298	7	[	[	X
fumecheng-10469	298	8	64	64	NUM
fumecheng-10469	298	9	]	]	PUNCT
fumecheng-10469	298	10	.	.	PUNCT
fumecheng-10469	299	1	for	for	ADP
fumecheng-10469	299	2	simply	simply	ADV
fumecheng-10469	299	3	supported	support	VERB
fumecheng-10469	299	4	boundary	boundary	ADJ
fumecheng-10469	299	5	conditions	condition	NOUN
fumecheng-10469	299	6	navier	navier	NOUN
fumecheng-10469	299	7	solution	solution	NOUN
fumecheng-10469	299	8	method	method	NOUN
fumecheng-10469	299	9	is	be	AUX
fumecheng-10469	299	10	used	use	VERB
fumecheng-10469	299	11	:	:	PUNCT
fumecheng-10469	299	12	(	(	PUNCT
fumecheng-10469	299	13	)	)	PUNCT
fumecheng-10469	299	14	(	(	PUNCT
fumecheng-10469	299	15	)	)	PUNCT
fumecheng-10469	299	16	(	(	PUNCT
fumecheng-10469	299	17	)	)	PUNCT
fumecheng-10469	299	18	(	(	PUNCT
fumecheng-10469	299	19	)	)	PUNCT
fumecheng-10469	299	20	1	1	NUM
fumecheng-10469	299	21	cos	cos	PROPN
fumecheng-10469	299	22	cos	cos	PROPN
fumecheng-10469	299	23	sin	sin	PROPN
fumecheng-10469	299	24	sin	sin	NOUN
fumecheng-10469	299	25			PROPN
fumecheng-10469	299	26			PROPN
fumecheng-10469	299	27			PROPN
fumecheng-10469	299	28			PROPN
fumecheng-10469	299	29			PROPN
fumecheng-10469	299	30			PROPN
fumecheng-10469	299	31			NOUN
fumecheng-10469	299	32			PROPN
fumecheng-10469	299	33			NOUN
fumecheng-10469	299	34	=	=	SYM
fumecheng-10469	300	1			NOUN
fumecheng-10469	300	2			PROPN
fumecheng-10469	300	3			PROPN
fumecheng-10469	300	4			PROPN
fumecheng-10469	300	5			NOUN
fumecheng-10469	301	1			PROPN
fumecheng-10469	301	2			PROPN
fumecheng-10469	301	3			NOUN
fumecheng-10469	302	1			PROPN
fumecheng-10469	303	1	=	=	PUNCT
fumecheng-10469	303	2			ADJ
fumecheng-10469	303	3			NOUN
fumecheng-10469	304	1			PROPN
fumecheng-10469	304	2			PROPN
fumecheng-10469	304	3			NOUN
fumecheng-10469	305	1			PROPN
fumecheng-10469	305	2			PROPN
fumecheng-10469	305	3			VERB
fumecheng-10469	305	4			NOUN
fumecheng-10469	305	5			NOUN
fumecheng-10469	305	6			NOUN
fumecheng-10469	305	7	=	=	SYM
fumecheng-10469	305	8			X
fumecheng-10469	305	9			X
fumecheng-10469	305	10	n	n	CCONJ
fumecheng-10469	305	11	n	n	CCONJ
fumecheng-10469	305	12	n	n	CCONJ
fumecheng-10469	305	13	n	n	PROPN
fumecheng-10469	305	14	iω	iω	ADP
fumecheng-10469	305	15	t	t	PROPN
fumecheng-10469	305	16	n	n	CCONJ
fumecheng-10469	305	17	iω	iω	PROPN
fumecheng-10469	305	18	t	t	PROPN
fumecheng-10469	305	19	n	n	PROPN
fumecheng-10469	305	20	ni	ni	PROPN
fumecheng-10469	305	21	0	0	PROPN
fumecheng-10469	305	22	0	0	NUM
fumecheng-10469	305	23	xx	xx	NUM
fumecheng-10469	305	24	n	n	DET
fumecheng-10469	305	25	0	0	NUM
fumecheng-10469	305	26	ω	ω	NUM
fumecheng-10469	305	27	t	t	PROPN
fumecheng-10469	305	28	n	n	PROPN
fumecheng-10469	305	29	iω	iω	PROPN
fumecheng-10469	305	30	t	t	PROPN
fumecheng-10469	305	31	n	n	ADV
fumecheng-10469	305	32	0	0	NUM
fumecheng-10469	305	33	x	x	SYM
fumecheng-10469	305	34	e	e	NOUN
fumecheng-10469	305	35	x	x	SYM
fumecheng-10469	305	36	e	e	NOUN
fumecheng-10469	305	37	n	n	ADP
fumecheng-10469	305	38	l	l	NOUN
fumecheng-10469	305	39	u	u	NOUN
fumecheng-10469	305	40	x	x	X
fumecheng-10469	305	41	x	x	X
fumecheng-10469	305	42	e	e	X
fumecheng-10469	305	43	u	u	PROPN
fumecheng-10469	305	44	w	w	PROPN
fumecheng-10469	305	45	w	w	PROPN
fumecheng-10469	305	46	e	e	PROPN
fumecheng-10469	305	47	(	(	PUNCT
fumecheng-10469	305	48	21	21	NUM
fumecheng-10469	305	49	)	)	PUNCT
fumecheng-10469	305	50	detection	detection	NOUN
fumecheng-10469	305	51	of	of	ADP
fumecheng-10469	305	52	nonlocal	nonlocal	ADJ
fumecheng-10469	305	53	calibration	calibration	NOUN
fumecheng-10469	305	54	parameters	parameter	NOUN
fumecheng-10469	305	55	and	and	CCONJ
fumecheng-10469	305	56	range	range	NOUN
fumecheng-10469	305	57	interaction	interaction	NOUN
fumecheng-10469	305	58	for	for	ADP
fumecheng-10469	305	59	dynamics	dynamic	NOUN
fumecheng-10469	305	60	of	of	ADP
fumecheng-10469	305	61	fgm	fgm	PROPN
fumecheng-10469	305	62	porous	porous	ADJ
fumecheng-10469	305	63	…	…	PUNCT
fumecheng-10469	305	64	467	467	NUM
fumecheng-10469	306	1	where	where	SCONJ
fumecheng-10469	306	2	0u	0u	ADJ
fumecheng-10469	306	3	,	,	PUNCT
fumecheng-10469	306	4			PROPN
fumecheng-10469	306	5	x	x	SYM
fumecheng-10469	306	6	,	,	PUNCT
fumecheng-10469	306	7	0w	0w	X
fumecheng-10469	306	8	,	,	PUNCT
fumecheng-10469	306	9			PROPN
fumecheng-10469	306	10	are	be	AUX
fumecheng-10469	306	11	maximum	maximum	ADJ
fumecheng-10469	306	12	values	value	NOUN
fumecheng-10469	306	13	of	of	ADP
fumecheng-10469	306	14	displacements	displacement	NOUN
fumecheng-10469	306	15	and	and	CCONJ
fumecheng-10469	306	16	electric	electric	ADJ
fumecheng-10469	306	17	potential	potential	NOUN
fumecheng-10469	306	18	.	.	PUNCT
fumecheng-10469	307	1	natural	natural	ADJ
fumecheng-10469	307	2	frequency	frequency	NOUN
fumecheng-10469	307	3	of	of	ADP
fumecheng-10469	307	4	the	the	DET
fumecheng-10469	307	5	nth	nth	NOUN
fumecheng-10469	307	6	mode	mode	NOUN
fumecheng-10469	307	7	is	be	AUX
fumecheng-10469	307	8	expressed	express	VERB
fumecheng-10469	307	9	as	as	ADP
fumecheng-10469	307	10	ωn	ωn	PROPN
fumecheng-10469	307	11	.	.	NOUN
fumecheng-10469	307	12	system	system	NOUN
fumecheng-10469	307	13	of	of	ADP
fumecheng-10469	307	14	governing	govern	VERB
fumecheng-10469	307	15	equations	equation	NOUN
fumecheng-10469	307	16	are	be	AUX
fumecheng-10469	307	17	expressed	express	VERB
fumecheng-10469	307	18	in	in	ADP
fumecheng-10469	307	19	a	a	DET
fumecheng-10469	307	20	vector	vector	NOUN
fumecheng-10469	307	21	form	form	NOUN
fumecheng-10469	307	22	:	:	PUNCT
fumecheng-10469	307	23			ADJ
fumecheng-10469	307	24			ADP
fumecheng-10469	307	25			ADJ
fumecheng-10469	308	1			PROPN
fumecheng-10469	308	2			PROPN
fumecheng-10469	308	3	0	0	NOUN
fumecheng-10469	308	4	−	−	NOUN
fumecheng-10469	308	5	=	=	SYM
fumecheng-10469	308	6			NOUN
fumecheng-10469	308	7			PROPN
fumecheng-10469	308	8	0	0	X
fumecheng-10469	308	9	0x	0x	PROPN
fumecheng-10469	308	10	t	t	PROPN
fumecheng-10469	308	11	n	n	PART
fumecheng-10469	308	12	u	u	PROPN
fumecheng-10469	308	13	wk	wk	PROPN
fumecheng-10469	308	14	ω	ω	NUM
fumecheng-10469	308	15	m	m	PROPN
fumecheng-10469	308	16	(	(	PUNCT
fumecheng-10469	308	17	22	22	NUM
fumecheng-10469	308	18	)	)	PUNCT
fumecheng-10469	309	1	[	[	X
fumecheng-10469	309	2	k	k	X
fumecheng-10469	309	3	]	]	X
fumecheng-10469	309	4	and	and	CCONJ
fumecheng-10469	309	5	[	[	X
fumecheng-10469	309	6	m	m	X
fumecheng-10469	309	7	]	]	X
fumecheng-10469	309	8	are	be	AUX
fumecheng-10469	309	9	symmetric	symmetric	ADJ
fumecheng-10469	309	10	stiffness	stiffness	NOUN
fumecheng-10469	309	11	and	and	CCONJ
fumecheng-10469	309	12	inertia	inertia	NOUN
fumecheng-10469	309	13	matrices	matrix	NOUN
fumecheng-10469	309	14	,	,	PUNCT
fumecheng-10469	309	15	respectively	respectively	ADV
fumecheng-10469	309	16	.	.	PUNCT
fumecheng-10469	310	1	components	component	NOUN
fumecheng-10469	310	2	of	of	ADP
fumecheng-10469	310	3	these	these	PRON
fumecheng-10469	310	4	are	be	AUX
fumecheng-10469	310	5	presented	present	VERB
fumecheng-10469	310	6	in	in	ADP
fumecheng-10469	310	7	[	[	X
fumecheng-10469	310	8	64	64	NUM
fumecheng-10469	310	9	]	]	PUNCT
fumecheng-10469	310	10	.	.	PUNCT
fumecheng-10469	311	1	presented	present	VERB
fumecheng-10469	311	2	solution	solution	NOUN
fumecheng-10469	311	3	procedure	procedure	NOUN
fumecheng-10469	311	4	and	and	CCONJ
fumecheng-10469	311	5	numerical	numerical	ADJ
fumecheng-10469	311	6	results	result	NOUN
fumecheng-10469	311	7	based	base	VERB
fumecheng-10469	311	8	on	on	ADP
fumecheng-10469	311	9	it	it	PRON
fumecheng-10469	311	10	were	be	AUX
fumecheng-10469	311	11	comprehensively	comprehensively	ADV
fumecheng-10469	311	12	verified	verify	VERB
fumecheng-10469	311	13	with	with	ADP
fumecheng-10469	311	14	results	result	NOUN
fumecheng-10469	311	15	from	from	ADP
fumecheng-10469	311	16	the	the	DET
fumecheng-10469	311	17	literature	literature	NOUN
fumecheng-10469	311	18	.	.	PUNCT
fumecheng-10469	312	1	verification	verification	NOUN
fumecheng-10469	312	2	study	study	NOUN
fumecheng-10469	312	3	is	be	AUX
fumecheng-10469	312	4	also	also	ADV
fumecheng-10469	312	5	presented	present	VERB
fumecheng-10469	312	6	in	in	ADP
fumecheng-10469	312	7	[	[	X
fumecheng-10469	312	8	64	64	NUM
fumecheng-10469	312	9	]	]	SYM
fumecheng-10469	312	10	.	.	PUNCT
fumecheng-10469	313	1	6	6	X
fumecheng-10469	313	2	.	.	X
fumecheng-10469	313	3	parametric	parametric	ADJ
fumecheng-10469	313	4	study	study	NOUN
fumecheng-10469	313	5	the	the	DET
fumecheng-10469	313	6	study	study	NOUN
fumecheng-10469	313	7	ensures	ensure	VERB
fumecheng-10469	313	8	a	a	DET
fumecheng-10469	313	9	novel	novel	ADJ
fumecheng-10469	313	10	perspective	perspective	NOUN
fumecheng-10469	313	11	of	of	ADP
fumecheng-10469	313	12	analyzing	analyze	VERB
fumecheng-10469	313	13	small	small	ADJ
fumecheng-10469	313	14	-	-	PUNCT
fumecheng-10469	313	15	scaled	scale	VERB
fumecheng-10469	313	16	structures	structure	NOUN
fumecheng-10469	313	17	.	.	PUNCT
fumecheng-10469	314	1	the	the	DET
fumecheng-10469	314	2	numerical	numerical	ADJ
fumecheng-10469	314	3	results	result	NOUN
fumecheng-10469	314	4	show	show	VERB
fumecheng-10469	314	5	the	the	DET
fumecheng-10469	314	6	range	range	NOUN
fumecheng-10469	314	7	of	of	ADP
fumecheng-10469	314	8	influences	influence	NOUN
fumecheng-10469	314	9	of	of	ADP
fumecheng-10469	314	10	nonlocal	nonlocal	ADJ
fumecheng-10469	314	11	parameters	parameter	NOUN
fumecheng-10469	314	12	on	on	ADP
fumecheng-10469	314	13	a	a	DET
fumecheng-10469	314	14	dynamical	dynamical	ADJ
fumecheng-10469	314	15	response	response	NOUN
fumecheng-10469	314	16	of	of	ADP
fumecheng-10469	314	17	complex	complex	ADJ
fumecheng-10469	314	18	nanobeam	nanobeam	NOUN
fumecheng-10469	314	19	.	.	PUNCT
fumecheng-10469	315	1	to	to	ADP
fumecheng-10469	315	2	this	this	DET
fumecheng-10469	315	3	aim	aim	NOUN
fumecheng-10469	315	4	,	,	PUNCT
fumecheng-10469	315	5	variation	variation	NOUN
fumecheng-10469	315	6	of	of	ADP
fumecheng-10469	315	7	length	length	NOUN
fumecheng-10469	315	8	of	of	ADP
fumecheng-10469	315	9	the	the	DET
fumecheng-10469	315	10	nanobeam	nanobeam	NOUN
fumecheng-10469	315	11	with	with	ADP
fumecheng-10469	315	12	different	different	ADJ
fumecheng-10469	315	13	nonlocal	nonlocal	ADJ
fumecheng-10469	315	14	parameters	parameter	NOUN
fumecheng-10469	315	15	values	value	NOUN
fumecheng-10469	315	16	is	be	AUX
fumecheng-10469	315	17	considered	consider	VERB
fumecheng-10469	315	18	to	to	PART
fumecheng-10469	315	19	observe	observe	VERB
fumecheng-10469	315	20	when	when	SCONJ
fumecheng-10469	315	21	size	size	NOUN
fumecheng-10469	315	22	-	-	PUNCT
fumecheng-10469	315	23	dependent	dependent	ADJ
fumecheng-10469	315	24	effects	effect	NOUN
fumecheng-10469	315	25	disappear	disappear	VERB
fumecheng-10469	315	26	for	for	ADP
fumecheng-10469	315	27	its	its	PRON
fumecheng-10469	315	28	vibration	vibration	NOUN
fumecheng-10469	315	29	under	under	ADP
fumecheng-10469	315	30	in	in	ADP
fumecheng-10469	315	31	-	-	PUNCT
fumecheng-10469	315	32	plane	plane	NOUN
fumecheng-10469	315	33	electro	electro	ADJ
fumecheng-10469	315	34	-	-	PUNCT
fumecheng-10469	315	35	mechanical	mechanical	ADJ
fumecheng-10469	315	36	forces	force	NOUN
fumecheng-10469	315	37	.	.	PUNCT
fumecheng-10469	316	1	the	the	DET
fumecheng-10469	316	2	interaction	interaction	NOUN
fumecheng-10469	316	3	range	range	NOUN
fumecheng-10469	316	4	parameter	parameter	NOUN
fumecheng-10469	316	5	is	be	AUX
fumecheng-10469	316	6	defined	define	VERB
fumecheng-10469	316	7	as	as	ADP
fumecheng-10469	316	8	differences	difference	NOUN
fumecheng-10469	316	9	in	in	ADP
fumecheng-10469	316	10	obtained	obtain	VERB
fumecheng-10469	316	11	solutions	solution	NOUN
fumecheng-10469	316	12	for	for	ADP
fumecheng-10469	316	13	classical	classical	ADJ
fumecheng-10469	316	14	(	(	PUNCT
fumecheng-10469	316	15	local	local	ADJ
fumecheng-10469	316	16	)	)	PUNCT
fumecheng-10469	316	17	l	l	NOUN
fumecheng-10469	317	1	nω	nω	ADV
fumecheng-10469	317	2	,	,	PUNCT
fumecheng-10469	317	3	and	and	CCONJ
fumecheng-10469	317	4	nonlocal	nonlocal	ADJ
fumecheng-10469	317	5	nl	nl	NOUN
fumecheng-10469	317	6	nω	nω	PRON
fumecheng-10469	317	7	theory	theory	NOUN
fumecheng-10469	317	8	of	of	ADP
fumecheng-10469	317	9	elasticity	elasticity	NOUN
fumecheng-10469	317	10	as	as	ADP
fumecheng-10469	317	11	:	:	PUNCT
fumecheng-10469	317	12	(	(	PUNCT
fumecheng-10469	317	13	)	)	PUNCT
fumecheng-10469	317	14	%	%	NOUN
fumecheng-10469	318	1	100%	100%	NUM
fumecheng-10469	318	2	−	−	NOUN
fumecheng-10469	319	1	=	=	SYM
fumecheng-10469	319	2			PROPN
fumecheng-10469	319	3	l	l	NOUN
fumecheng-10469	319	4	nl	nl	NOUN
fumecheng-10469	319	5	n	n	CCONJ
fumecheng-10469	319	6	n	n	PROPN
fumecheng-10469	319	7	l	l	NOUN
fumecheng-10469	319	8	n	n	PROPN
fumecheng-10469	319	9	ω	ω	PROPN
fumecheng-10469	319	10	ω	ω	PROPN
fumecheng-10469	319	11	ω	ω	PROPN
fumecheng-10469	319	12	(	(	PUNCT
fumecheng-10469	319	13	23	23	NUM
fumecheng-10469	319	14	)	)	PUNCT
fumecheng-10469	319	15	the	the	DET
fumecheng-10469	319	16	top	top	ADJ
fumecheng-10469	319	17	lines	line	NOUN
fumecheng-10469	319	18	are	be	AUX
fumecheng-10469	319	19	used	use	VERB
fumecheng-10469	319	20	to	to	PART
fumecheng-10469	319	21	show	show	VERB
fumecheng-10469	319	22	dimensionless	dimensionless	ADJ
fumecheng-10469	319	23	frequencies	frequency	NOUN
fumecheng-10469	319	24	in	in	ADP
fumecheng-10469	319	25	form	form	NOUN
fumecheng-10469	319	26	:	:	PUNCT
fumecheng-10469	319	27	2	2	NUM
fumecheng-10469	319	28	2	2	NUM
fumecheng-10469	319	29	010=	010=	NOUN
fumecheng-10469	319	30			PROPN
fumecheng-10469	319	31			PROPN
fumecheng-10469	319	32			PROPN
fumecheng-10469	319	33	i	i	PRON
fumecheng-10469	320	1	i	i	PRON
fumecheng-10469	320	2	n	n	VERB
fumecheng-10469	320	3	n	n	PROPN
fumecheng-10469	320	4	c	c	PROPN
fumecheng-10469	320	5	2	2	NUM
fumecheng-10469	321	1	i	i	NOUN
fumecheng-10469	321	2	ω	ω	NOUN
fumecheng-10469	321	3	ω	ω	X
fumecheng-10469	321	4	l	l	NOUN
fumecheng-10469	321	5	for	for	ADP
fumecheng-10469	321	6	i	i	PROPN
fumecheng-10469	321	7	=	=	SYM
fumecheng-10469	321	8	l	l	NOUN
fumecheng-10469	321	9	,	,	PUNCT
fumecheng-10469	321	10	nl	nl	PROPN
fumecheng-10469	321	11	e	e	NOUN
fumecheng-10469	321	12	i	i	PRON
fumecheng-10469	321	13	(	(	PUNCT
fumecheng-10469	321	14	24	24	NUM
fumecheng-10469	321	15	)	)	PUNCT
fumecheng-10469	321	16	where	where	SCONJ
fumecheng-10469	321	17	ωi	ωi	PUNCT
fumecheng-10469	321	18	n	n	PRON
fumecheng-10469	321	19	is	be	AUX
fumecheng-10469	321	20	dimensional	dimensional	ADJ
fumecheng-10469	321	21	frequency	frequency	NOUN
fumecheng-10469	321	22	.	.	PUNCT
fumecheng-10469	322	1	the	the	DET
fumecheng-10469	322	2	material	material	NOUN
fumecheng-10469	322	3	and	and	CCONJ
fumecheng-10469	322	4	geometrical	geometrical	ADJ
fumecheng-10469	322	5	parameters	parameter	NOUN
fumecheng-10469	322	6	of	of	ADP
fumecheng-10469	322	7	the	the	DET
fumecheng-10469	322	8	studied	study	VERB
fumecheng-10469	322	9	sandwich	sandwich	NOUN
fumecheng-10469	322	10	nanobeam	nanobeam	NOUN
fumecheng-10469	322	11	are	be	AUX
fumecheng-10469	322	12	assumed	assume	VERB
fumecheng-10469	322	13	as	as	SCONJ
fumecheng-10469	322	14	follows	follow	VERB
fumecheng-10469	322	15	hp	hp	PROPN
fumecheng-10469	322	16	=	=	SYM
fumecheng-10469	322	17	1.5	1.5	NUM
fumecheng-10469	322	18	nm	nm	NOUN
fumecheng-10469	322	19	,	,	PUNCT
fumecheng-10469	322	20	h	h	NOUN
fumecheng-10469	322	21	=	=	SYM
fumecheng-10469	322	22	7	7	NUM
fumecheng-10469	322	23	nm	nm	NOUN
fumecheng-10469	322	24	,	,	PUNCT
fumecheng-10469	322	25	ρ	ρ	PROPN
fumecheng-10469	322	26	=	=	SYM
fumecheng-10469	322	27	5550	5550	NUM
fumecheng-10469	322	28	kg	kg	PROPN
fumecheng-10469	322	29	/	/	SYM
fumecheng-10469	322	30	m3	m3	PROPN
fumecheng-10469	322	31	,	,	PUNCT
fumecheng-10469	322	32	ρc	ρc	VERB
fumecheng-10469	322	33	=	=	NOUN
fumecheng-10469	322	34	3100	3100	NUM
fumecheng-10469	322	35	kg	kg	NOUN
fumecheng-10469	322	36	/	/	SYM
fumecheng-10469	322	37	m3	m3	PROPN
fumecheng-10469	322	38	,	,	PUNCT
fumecheng-10469	322	39	ρm	ρm	PROPN
fumecheng-10469	322	40	=	=	SYM
fumecheng-10469	322	41	2700	2700	NUM
fumecheng-10469	322	42	kg	kg	NOUN
fumecheng-10469	322	43	/	/	SYM
fumecheng-10469	322	44	m3	m3	PROPN
fumecheng-10469	322	45	,	,	PUNCT
fumecheng-10469	322	46	dxx	dxx	NOUN
fumecheng-10469	322	47	=	=	PROPN
fumecheng-10469	322	48	226	226	NUM
fumecheng-10469	322	49	gpa	gpa	PROPN
fumecheng-10469	322	50	,	,	PUNCT
fumecheng-10469	322	51	dxz	dxz	NOUN
fumecheng-10469	322	52	=	=	SYM
fumecheng-10469	322	53	44.2	44.2	NUM
fumecheng-10469	322	54	gpa	gpa	NOUN
fumecheng-10469	322	55	,	,	PUNCT
fumecheng-10469	322	56	ec	ec	PROPN
fumecheng-10469	322	57	=	=	SYM
fumecheng-10469	322	58	380	380	NUM
fumecheng-10469	322	59	gpa	gpa	PROPN
fumecheng-10469	322	60	,	,	PUNCT
fumecheng-10469	322	61	em	em	PRON
fumecheng-10469	322	62	=	=	SYM
fumecheng-10469	322	63	70	70	NUM
fumecheng-10469	322	64	gpa	gpa	PROPN
fumecheng-10469	322	65	,	,	PUNCT
fumecheng-10469	322	66	υ	υ	NOUN
fumecheng-10469	322	67	=	=	NOUN
fumecheng-10469	322	68	0.3	0.3	NUM
fumecheng-10469	322	69	,	,	PUNCT
fumecheng-10469	322	70	ex	ex	X
fumecheng-10469	322	71	=	=	NOUN
fumecheng-10469	322	72	-2.2	-2.2	NUM
fumecheng-10469	322	73	c	c	PROPN
fumecheng-10469	322	74	/	/	SYM
fumecheng-10469	322	75	m2	m2	PROPN
fumecheng-10469	322	76	,	,	PUNCT
fumecheng-10469	322	77	ez	ez	X
fumecheng-10469	322	78	=	=	SYM
fumecheng-10469	322	79	5.8	5.8	NUM
fumecheng-10469	322	80	c	c	NOUN
fumecheng-10469	322	81	/	/	SYM
fumecheng-10469	322	82	m2	m2	PROPN
fumecheng-10469	322	83	,	,	PUNCT
fumecheng-10469	322	84	∈x	∈x	NOUN
fumecheng-10469	322	85	=	=	PUNCT
fumecheng-10469	322	86	5.64∙10	5.64∙10	NUM
fumecheng-10469	322	87	-	-	SYM
fumecheng-10469	322	88	9	9	NUM
fumecheng-10469	322	89	c	c	PROPN
fumecheng-10469	322	90	/	/	SYM
fumecheng-10469	322	91	vm	vm	PROPN
fumecheng-10469	322	92	,	,	PUNCT
fumecheng-10469	322	93	∈z	∈z	PROPN
fumecheng-10469	322	94	=	=	PUNCT
fumecheng-10469	323	1	6.35∙10	6.35∙10	NUM
fumecheng-10469	323	2	-	-	SYM
fumecheng-10469	323	3	9	9	NUM
fumecheng-10469	323	4	c	c	PROPN
fumecheng-10469	323	5	/	/	SYM
fumecheng-10469	323	6	vm	vm	PROPN
fumecheng-10469	323	7	.	.	PROPN
fumecheng-10469	323	8	not	not	PART
fumecheng-10469	323	9	mentioned	mention	VERB
fumecheng-10469	323	10	here	here	ADV
fumecheng-10469	323	11	coefficients	coefficient	NOUN
fumecheng-10469	323	12	are	be	AUX
fumecheng-10469	323	13	assumed	assume	VERB
fumecheng-10469	323	14	to	to	PART
fumecheng-10469	323	15	be	be	AUX
fumecheng-10469	323	16	variable	variable	ADJ
fumecheng-10469	323	17	and	and	CCONJ
fumecheng-10469	323	18	explained	explain	VERB
fumecheng-10469	323	19	in	in	ADP
fumecheng-10469	323	20	individual	individual	ADJ
fumecheng-10469	323	21	studies	study	NOUN
fumecheng-10469	323	22	.	.	PUNCT
fumecheng-10469	324	1	what	what	PRON
fumecheng-10469	324	2	is	be	AUX
fumecheng-10469	324	3	more	more	ADJ
fumecheng-10469	324	4	,	,	PUNCT
fumecheng-10469	324	5	the	the	DET
fumecheng-10469	324	6	present	present	ADJ
fumecheng-10469	324	7	section	section	NOUN
fumecheng-10469	324	8	shows	show	VERB
fumecheng-10469	324	9	selected	select	VERB
fumecheng-10469	324	10	results	result	NOUN
fumecheng-10469	324	11	for	for	ADP
fumecheng-10469	324	12	predicting	predict	VERB
fumecheng-10469	324	13	nonlocal	nonlocal	ADJ
fumecheng-10469	324	14	coefficients	coefficient	NOUN
fumecheng-10469	324	15	depending	depend	VERB
fumecheng-10469	324	16	on	on	ADP
fumecheng-10469	324	17	expected	expect	VERB
fumecheng-10469	324	18	free	free	ADJ
fumecheng-10469	324	19	vibration	vibration	NOUN
fumecheng-10469	324	20	frequencies	frequency	NOUN
fumecheng-10469	324	21	,	,	PUNCT
fumecheng-10469	324	22	material	material	NOUN
fumecheng-10469	324	23	gradation	gradation	NOUN
fumecheng-10469	324	24	,	,	PUNCT
fumecheng-10469	324	25	distributions	distribution	NOUN
fumecheng-10469	324	26	and	and	CCONJ
fumecheng-10469	324	27	volume	volume	NOUN
fumecheng-10469	324	28	of	of	ADP
fumecheng-10469	324	29	voids	void	NOUN
fumecheng-10469	324	30	together	together	ADV
fumecheng-10469	324	31	with	with	ADP
fumecheng-10469	324	32	defined	define	VERB
fumecheng-10469	324	33	in	in	ADP
fumecheng-10469	324	34	-	-	PUNCT
fumecheng-10469	324	35	plane	plane	NOUN
fumecheng-10469	324	36	mechanical	mechanical	ADJ
fumecheng-10469	324	37	and	and	CCONJ
fumecheng-10469	324	38	electrical	electrical	ADJ
fumecheng-10469	324	39	forces	force	NOUN
fumecheng-10469	324	40	.	.	PUNCT
fumecheng-10469	325	1	6.1	6.1	NUM
fumecheng-10469	325	2	.	.	PUNCT
fumecheng-10469	325	3	nonlocal	nonlocal	ADJ
fumecheng-10469	325	4	interaction	interaction	NOUN
fumecheng-10469	325	5	range	range	NOUN
fumecheng-10469	325	6	parameter	parameter	NOUN
fumecheng-10469	325	7	figure	figure	NOUN
fumecheng-10469	325	8	3	3	NUM
fumecheng-10469	325	9	displays	display	VERB
fumecheng-10469	325	10	influence	influence	NOUN
fumecheng-10469	325	11	of	of	ADP
fumecheng-10469	325	12	diverse	diverse	ADJ
fumecheng-10469	325	13	length	length	NOUN
fumecheng-10469	325	14	to	to	ADP
fumecheng-10469	325	15	thickness	thickness	NOUN
fumecheng-10469	325	16	ratio	ratio	NOUN
fumecheng-10469	325	17	on	on	ADP
fumecheng-10469	325	18	the	the	DET
fumecheng-10469	325	19	nonlocal	nonlocal	ADJ
fumecheng-10469	325	20	interaction	interaction	NOUN
fumecheng-10469	325	21	range	range	NOUN
fumecheng-10469	325	22	for	for	ADP
fumecheng-10469	325	23	fundamental	fundamental	ADJ
fumecheng-10469	325	24	frequency	frequency	NOUN
fumecheng-10469	325	25	of	of	ADP
fumecheng-10469	325	26	the	the	DET
fumecheng-10469	325	27	studied	studied	ADJ
fumecheng-10469	325	28	nanobeam	nanobeam	NOUN
fumecheng-10469	325	29	with	with	ADP
fumecheng-10469	325	30	homogeneous	homogeneous	ADJ
fumecheng-10469	325	31	(	(	PUNCT
fumecheng-10469	325	32	g	g	NOUN
fumecheng-10469	325	33	=	=	SYM
fumecheng-10469	325	34	0	0	NUM
fumecheng-10469	325	35	)	)	PUNCT
fumecheng-10469	325	36	core	core	NOUN
fumecheng-10469	325	37	.	.	PUNCT
fumecheng-10469	326	1	468	468	NUM
fumecheng-10469	327	1	p.	p.	NOUN
fumecheng-10469	327	2	jankowski	jankowski	PROPN
fumecheng-10469	327	3	a	a	DET
fumecheng-10469	327	4	)	)	PUNCT
fumecheng-10469	327	5	b	b	NOUN
fumecheng-10469	327	6	)	)	PUNCT
fumecheng-10469	327	7	c	c	NOUN
fumecheng-10469	327	8	)	)	PUNCT
fumecheng-10469	327	9	fig	fig	NOUN
fumecheng-10469	327	10	.	.	PUNCT
fumecheng-10469	328	1	3	3	NUM
fumecheng-10469	328	2	influence	influence	NOUN
fumecheng-10469	328	3	of	of	ADP
fumecheng-10469	328	4	length	length	NOUN
fumecheng-10469	328	5	to	to	ADP
fumecheng-10469	328	6	thickness	thickness	NOUN
fumecheng-10469	328	7	ratio	ratio	NOUN
fumecheng-10469	328	8	on	on	ADP
fumecheng-10469	328	9	the	the	DET
fumecheng-10469	328	10	nonlocal	nonlocal	ADJ
fumecheng-10469	328	11	interaction	interaction	NOUN
fumecheng-10469	328	12	range	range	NOUN
fumecheng-10469	328	13	parameter	parameter	NOUN
fumecheng-10469	328	14	for	for	ADP
fumecheng-10469	328	15	nanobeam	nanobeam	ADJ
fumecheng-10469	328	16	fundamental	fundamental	ADJ
fumecheng-10469	328	17	frequencies	frequency	NOUN
fumecheng-10469	328	18	:	:	PUNCT
fumecheng-10469	328	19	a	a	X
fumecheng-10469	328	20	)	)	PUNCT
fumecheng-10469	328	21	ψ	ψ	NOUN
fumecheng-10469	328	22	=	=	NOUN
fumecheng-10469	328	23	2	2	NUM
fumecheng-10469	328	24	;	;	PUNCT
fumecheng-10469	328	25	b	b	X
fumecheng-10469	328	26	)	)	PUNCT
fumecheng-10469	328	27	ℬ	ℬ	NOUN
fumecheng-10469	328	28	=	=	SYM
fumecheng-10469	328	29	0	0	NUM
fumecheng-10469	328	30	;	;	PUNCT
fumecheng-10469	328	31	c	c	X
fumecheng-10469	328	32	)	)	PUNCT
fumecheng-10469	328	33	pseudorandom	pseudorandom	PROPN
fumecheng-10469	328	34	ψ	ψ	ADP
fumecheng-10469	328	35	ratio	ratio	NOUN
fumecheng-10469	328	36	detection	detection	NOUN
fumecheng-10469	328	37	of	of	ADP
fumecheng-10469	328	38	nonlocal	nonlocal	ADJ
fumecheng-10469	328	39	calibration	calibration	NOUN
fumecheng-10469	328	40	parameters	parameter	NOUN
fumecheng-10469	328	41	and	and	CCONJ
fumecheng-10469	328	42	range	range	NOUN
fumecheng-10469	328	43	interaction	interaction	NOUN
fumecheng-10469	328	44	for	for	ADP
fumecheng-10469	328	45	dynamics	dynamic	NOUN
fumecheng-10469	328	46	of	of	ADP
fumecheng-10469	328	47	fgm	fgm	PROPN
fumecheng-10469	328	48	porous	porous	ADJ
fumecheng-10469	328	49	…	…	PUNCT
fumecheng-10469	328	50	469	469	NUM
fumecheng-10469	328	51	nonlocal	nonlocal	ADJ
fumecheng-10469	328	52	to	to	ADP
fumecheng-10469	328	53	length	length	NOUN
fumecheng-10469	328	54	scale	scale	NOUN
fumecheng-10469	328	55	coefficients	coefficient	NOUN
fumecheng-10469	328	56	ratio	ratio	NOUN
fumecheng-10469	328	57	is	be	AUX
fumecheng-10469	328	58	introduced	introduce	VERB
fumecheng-10469	328	59	as	as	ADP
fumecheng-10469	328	60	ψ	ψ	NOUN
fumecheng-10469	328	61	=	=	SYM
fumecheng-10469	328	62	ℬ/ℓ	ℬ/ℓ	PROPN
fumecheng-10469	328	63	and	and	CCONJ
fumecheng-10469	328	64	assumed	assume	VERB
fumecheng-10469	328	65	for	for	ADP
fumecheng-10469	328	66	this	this	DET
fumecheng-10469	328	67	study	study	NOUN
fumecheng-10469	328	68	ψ	ψ	NOUN
fumecheng-10469	328	69	=	=	SYM
fumecheng-10469	328	70	2	2	NUM
fumecheng-10469	328	71	nm	nm	NOUN
fumecheng-10469	328	72	in	in	ADP
fumecheng-10469	328	73	fig	fig	NOUN
fumecheng-10469	328	74	.	.	PUNCT
fumecheng-10469	329	1	3	3	NUM
fumecheng-10469	329	2	a	a	NOUN
fumecheng-10469	329	3	)	)	PUNCT
fumecheng-10469	329	4	.	.	PUNCT
fumecheng-10469	330	1	additionally	additionally	ADV
fumecheng-10469	330	2	,	,	PUNCT
fumecheng-10469	330	3	for	for	ADP
fumecheng-10469	330	4	fig	fig	NOUN
fumecheng-10469	330	5	.	.	PUNCT
fumecheng-10469	331	1	3b	3b	NUM
fumecheng-10469	331	2	,	,	PUNCT
fumecheng-10469	331	3	it	it	PRON
fumecheng-10469	331	4	is	be	AUX
fumecheng-10469	331	5	assumed	assume	VERB
fumecheng-10469	331	6	constant	constant	ADJ
fumecheng-10469	331	7	nonlocal	nonlocal	ADJ
fumecheng-10469	331	8	coefficient	coefficient	NOUN
fumecheng-10469	331	9	of	of	ADP
fumecheng-10469	331	10	eringen	eringen	PROPN
fumecheng-10469	331	11	’s	’s	PART
fumecheng-10469	331	12	elasticity	elasticity	NOUN
fumecheng-10469	331	13	as	as	ADP
fumecheng-10469	331	14	ℬ	ℬ	NOUN
fumecheng-10469	331	15	=	=	SYM
fumecheng-10469	331	16	0	0	NUM
fumecheng-10469	331	17	(	(	PUNCT
fumecheng-10469	331	18	pure	pure	ADJ
fumecheng-10469	331	19	mindlin	mindlin	PROPN
fumecheng-10469	331	20	’s	’s	PART
fumecheng-10469	331	21	strain	strain	NOUN
fumecheng-10469	331	22	gradient	gradient	NOUN
fumecheng-10469	331	23	)	)	PUNCT
fumecheng-10469	331	24	,	,	PUNCT
fumecheng-10469	331	25	and	and	CCONJ
fumecheng-10469	331	26	pseudorandom	pseudorandom	PROPN
fumecheng-10469	331	27	ψ	ψ	ADP
fumecheng-10469	331	28	ratio	ratio	NOUN
fumecheng-10469	331	29	for	for	ADP
fumecheng-10469	331	30	fig	fig	NOUN
fumecheng-10469	331	31	.	.	PUNCT
fumecheng-10469	332	1	3c	3c	NUM
fumecheng-10469	332	2	.	.	PUNCT
fumecheng-10469	333	1	the	the	DET
fumecheng-10469	333	2	pseudorandom	pseudorandom	NOUN
fumecheng-10469	333	3	distribution	distribution	NOUN
fumecheng-10469	333	4	was	be	AUX
fumecheng-10469	333	5	chosen	choose	VERB
fumecheng-10469	333	6	to	to	PART
fumecheng-10469	333	7	clearly	clearly	ADV
fumecheng-10469	333	8	present	present	VERB
fumecheng-10469	333	9	influence	influence	NOUN
fumecheng-10469	333	10	of	of	ADP
fumecheng-10469	333	11	nonlocal	nonlocal	ADJ
fumecheng-10469	333	12	coefficients	coefficient	NOUN
fumecheng-10469	333	13	.	.	PUNCT
fumecheng-10469	334	1	diverse	diverse	ADJ
fumecheng-10469	334	2	ratios	ratio	NOUN
fumecheng-10469	334	3	of	of	ADP
fumecheng-10469	334	4	nonlocal	nonlocal	ADJ
fumecheng-10469	334	5	eringen	eringen	NOUN
fumecheng-10469	334	6	’s	’s	ADV
fumecheng-10469	334	7	to	to	ADP
fumecheng-10469	334	8	length	length	NOUN
fumecheng-10469	334	9	scale	scale	NOUN
fumecheng-10469	334	10	coefficients	coefficient	NOUN
fumecheng-10469	334	11	are	be	AUX
fumecheng-10469	334	12	required	require	VERB
fumecheng-10469	334	13	in	in	ADP
fumecheng-10469	334	14	modelling	model	VERB
fumecheng-10469	334	15	nanostructures	nanostructure	NOUN
fumecheng-10469	334	16	because	because	SCONJ
fumecheng-10469	334	17	values	value	NOUN
fumecheng-10469	334	18	of	of	ADP
fumecheng-10469	334	19	nonlocal	nonlocal	ADJ
fumecheng-10469	334	20	parameters	parameter	NOUN
fumecheng-10469	334	21	vary	vary	VERB
fumecheng-10469	334	22	due	due	ADJ
fumecheng-10469	334	23	to	to	ADP
fumecheng-10469	334	24	initial	initial	ADJ
fumecheng-10469	334	25	stress	stress	NOUN
fumecheng-10469	334	26	,	,	PUNCT
fumecheng-10469	334	27	mode	mode	NOUN
fumecheng-10469	334	28	shape	shape	NOUN
fumecheng-10469	334	29	,	,	PUNCT
fumecheng-10469	334	30	rotary	rotary	NOUN
fumecheng-10469	334	31	inertia	inertia	NOUN
fumecheng-10469	334	32	,	,	PUNCT
fumecheng-10469	334	33	boundary	boundary	ADJ
fumecheng-10469	334	34	conditions	condition	NOUN
fumecheng-10469	334	35	as	as	ADV
fumecheng-10469	334	36	well	well	ADV
fumecheng-10469	334	37	as	as	ADP
fumecheng-10469	334	38	material	material	NOUN
fumecheng-10469	334	39	properties	property	NOUN
fumecheng-10469	334	40	[	[	X
fumecheng-10469	334	41	69	69	NUM
fumecheng-10469	334	42	-	-	SYM
fumecheng-10469	334	43	72	72	NUM
fumecheng-10469	334	44	]	]	PUNCT
fumecheng-10469	334	45	.	.	PUNCT
fumecheng-10469	335	1	based	base	VERB
fumecheng-10469	335	2	on	on	ADP
fumecheng-10469	335	3	fig	fig	NOUN
fumecheng-10469	335	4	.	.	PUNCT
fumecheng-10469	336	1	3	3	NUM
fumecheng-10469	336	2	,	,	PUNCT
fumecheng-10469	336	3	it	it	PRON
fumecheng-10469	336	4	may	may	AUX
fumecheng-10469	336	5	be	be	AUX
fumecheng-10469	336	6	concluded	conclude	VERB
fumecheng-10469	336	7	that	that	SCONJ
fumecheng-10469	336	8	the	the	DET
fumecheng-10469	336	9	more	more	ADV
fumecheng-10469	336	10	lengthened	lengthened	ADJ
fumecheng-10469	336	11	the	the	DET
fumecheng-10469	336	12	nanostructure	nanostructure	NOUN
fumecheng-10469	336	13	is	be	AUX
fumecheng-10469	336	14	(	(	PUNCT
fumecheng-10469	336	15	higher	high	ADJ
fumecheng-10469	336	16	length	length	NOUN
fumecheng-10469	336	17	to	to	ADP
fumecheng-10469	336	18	thickness	thickness	NOUN
fumecheng-10469	336	19	ratio	ratio	NOUN
fumecheng-10469	336	20	)	)	PUNCT
fumecheng-10469	336	21	,	,	PUNCT
fumecheng-10469	336	22	the	the	DET
fumecheng-10469	336	23	lower	low	ADJ
fumecheng-10469	336	24	impact	impact	NOUN
fumecheng-10469	336	25	of	of	ADP
fumecheng-10469	336	26	size	size	NOUN
fumecheng-10469	336	27	-	-	PUNCT
fumecheng-10469	336	28	dependent	dependent	ADJ
fumecheng-10469	336	29	parameters	parameter	NOUN
fumecheng-10469	336	30	on	on	ADP
fumecheng-10469	336	31	dynamics	dynamic	NOUN
fumecheng-10469	336	32	of	of	ADP
fumecheng-10469	336	33	nanobeam	nanobeam	NOUN
fumecheng-10469	336	34	.	.	PUNCT
fumecheng-10469	337	1	the	the	DET
fumecheng-10469	337	2	scale	scale	NOUN
fumecheng-10469	337	3	coefficients	coefficient	NOUN
fumecheng-10469	337	4	refer	refer	VERB
fumecheng-10469	337	5	to	to	ADP
fumecheng-10469	337	6	nanostructure	nanostructure	NOUN
fumecheng-10469	337	7	and	and	CCONJ
fumecheng-10469	337	8	consequently	consequently	ADV
fumecheng-10469	337	9	has	have	VERB
fumecheng-10469	337	10	nanoscale	nanoscale	NOUN
fumecheng-10469	337	11	dimensions	dimension	NOUN
fumecheng-10469	337	12	.	.	PUNCT
fumecheng-10469	338	1	therefore	therefore	ADV
fumecheng-10469	338	2	,	,	PUNCT
fumecheng-10469	338	3	large	large	ADJ
fumecheng-10469	338	4	dimensions	dimension	NOUN
fumecheng-10469	338	5	of	of	ADP
fumecheng-10469	338	6	the	the	DET
fumecheng-10469	338	7	structure	structure	NOUN
fumecheng-10469	338	8	cause	cause	VERB
fumecheng-10469	338	9	the	the	DET
fumecheng-10469	338	10	effect	effect	NOUN
fumecheng-10469	338	11	of	of	ADP
fumecheng-10469	338	12	nanoscale	nanoscale	NOUN
fumecheng-10469	338	13	to	to	PART
fumecheng-10469	338	14	disappear	disappear	VERB
fumecheng-10469	338	15	.	.	PUNCT
fumecheng-10469	339	1	in	in	ADP
fumecheng-10469	339	2	the	the	DET
fumecheng-10469	339	3	study	study	NOUN
fumecheng-10469	339	4	,	,	PUNCT
fumecheng-10469	339	5	only	only	ADV
fumecheng-10469	339	6	length	length	NOUN
fumecheng-10469	339	7	is	be	AUX
fumecheng-10469	339	8	used	use	VERB
fumecheng-10469	339	9	as	as	ADP
fumecheng-10469	339	10	a	a	DET
fumecheng-10469	339	11	variable	variable	NOUN
fumecheng-10469	339	12	since	since	SCONJ
fumecheng-10469	339	13	nonlocal	nonlocal	ADJ
fumecheng-10469	339	14	constitutive	constitutive	ADJ
fumecheng-10469	339	15	equations	equation	NOUN
fumecheng-10469	339	16	consider	consider	VERB
fumecheng-10469	339	17	gradients	gradient	NOUN
fumecheng-10469	339	18	of	of	ADP
fumecheng-10469	339	19	strains	strain	NOUN
fumecheng-10469	339	20	and	and	CCONJ
fumecheng-10469	339	21	stresses	stress	NOUN
fumecheng-10469	339	22	in	in	ADP
fumecheng-10469	339	23	the	the	DET
fumecheng-10469	339	24	x	x	NOUN
fumecheng-10469	339	25	-	-	NOUN
fumecheng-10469	339	26	direction	direction	NOUN
fumecheng-10469	339	27	.	.	PUNCT
fumecheng-10469	340	1	for	for	ADP
fumecheng-10469	340	2	that	that	DET
fumecheng-10469	340	3	reason	reason	NOUN
fumecheng-10469	340	4	,	,	PUNCT
fumecheng-10469	340	5	using	use	VERB
fumecheng-10469	340	6	thickness	thickness	NOUN
fumecheng-10469	340	7	as	as	SCONJ
fumecheng-10469	340	8	a	a	DET
fumecheng-10469	340	9	variable	variable	NOUN
fumecheng-10469	340	10	does	do	AUX
fumecheng-10469	340	11	not	not	PART
fumecheng-10469	340	12	change	change	VERB
fumecheng-10469	340	13	mechanical	mechanical	ADJ
fumecheng-10469	340	14	response	response	NOUN
fumecheng-10469	340	15	of	of	ADP
fumecheng-10469	340	16	the	the	DET
fumecheng-10469	340	17	structure	structure	NOUN
fumecheng-10469	340	18	.	.	PUNCT
fumecheng-10469	341	1	on	on	ADP
fumecheng-10469	341	2	the	the	DET
fumecheng-10469	341	3	other	other	ADJ
fumecheng-10469	341	4	hand	hand	NOUN
fumecheng-10469	341	5	,	,	PUNCT
fumecheng-10469	341	6	increasing	increase	VERB
fumecheng-10469	341	7	values	value	NOUN
fumecheng-10469	341	8	of	of	ADP
fumecheng-10469	341	9	nano	nano	NOUN
fumecheng-10469	341	10	-	-	PUNCT
fumecheng-10469	341	11	scale	scale	NOUN
fumecheng-10469	341	12	coefficients	coefficient	NOUN
fumecheng-10469	341	13	induced	induce	VERB
fumecheng-10469	341	14	higher	high	ADJ
fumecheng-10469	341	15	gradients	gradient	NOUN
fumecheng-10469	341	16	of	of	ADP
fumecheng-10469	341	17	stresses	stress	NOUN
fumecheng-10469	341	18	and	and	CCONJ
fumecheng-10469	341	19	strains	strain	NOUN
fumecheng-10469	341	20	(	(	PUNCT
fumecheng-10469	341	21	higher	high	ADJ
fumecheng-10469	341	22	-	-	PUNCT
fumecheng-10469	341	23	order	order	NOUN
fumecheng-10469	341	24	derivatives	derivative	NOUN
fumecheng-10469	341	25	in	in	ADP
fumecheng-10469	341	26	equations	equation	NOUN
fumecheng-10469	341	27	of	of	ADP
fumecheng-10469	341	28	motion	motion	NOUN
fumecheng-10469	341	29	)	)	PUNCT
fumecheng-10469	341	30	,	,	PUNCT
fumecheng-10469	341	31	and	and	CCONJ
fumecheng-10469	341	32	consequently	consequently	ADV
fumecheng-10469	341	33	,	,	PUNCT
fumecheng-10469	341	34	higher	high	ADJ
fumecheng-10469	341	35	differences	difference	NOUN
fumecheng-10469	341	36	in	in	ADP
fumecheng-10469	341	37	results	result	NOUN
fumecheng-10469	341	38	obtained	obtain	VERB
fumecheng-10469	341	39	by	by	ADP
fumecheng-10469	341	40	classical	classical	ADJ
fumecheng-10469	341	41	and	and	CCONJ
fumecheng-10469	341	42	nonlocal	nonlocal	ADJ
fumecheng-10469	341	43	approaches	approach	NOUN
fumecheng-10469	341	44	.	.	PUNCT
fumecheng-10469	342	1	in	in	ADP
fumecheng-10469	342	2	addition	addition	NOUN
fumecheng-10469	342	3	,	,	PUNCT
fumecheng-10469	342	4	the	the	DET
fumecheng-10469	342	5	study	study	NOUN
fumecheng-10469	342	6	agrees	agree	VERB
fumecheng-10469	342	7	with	with	ADP
fumecheng-10469	342	8	previous	previous	ADJ
fumecheng-10469	342	9	studies	study	NOUN
fumecheng-10469	342	10	[	[	X
fumecheng-10469	342	11	58	58	NUM
fumecheng-10469	342	12	]	]	PUNCT
fumecheng-10469	342	13	that	that	DET
fumecheng-10469	342	14	stiffness	stiffness	NOUN
fumecheng-10469	342	15	hardening	harden	VERB
fumecheng-10469	342	16	and	and	CCONJ
fumecheng-10469	342	17	softening	soften	VERB
fumecheng-10469	342	18	phenomena	phenomenon	NOUN
fumecheng-10469	342	19	caused	cause	VERB
fumecheng-10469	342	20	by	by	ADP
fumecheng-10469	342	21	strain	strain	NOUN
fumecheng-10469	342	22	and	and	CCONJ
fumecheng-10469	342	23	stress	stress	NOUN
fumecheng-10469	342	24	gradients	gradient	NOUN
fumecheng-10469	342	25	disappear	disappear	VERB
fumecheng-10469	342	26	while	while	SCONJ
fumecheng-10469	342	27	ℓ2	ℓ2	NOUN
fumecheng-10469	342	28	=	=	SYM
fumecheng-10469	342	29	ℬ	ℬ	NOUN
fumecheng-10469	342	30	because	because	SCONJ
fumecheng-10469	342	31	nonlocal	nonlocal	ADJ
fumecheng-10469	342	32	parameters	parameter	NOUN
fumecheng-10469	342	33	reduced	reduce	VERB
fumecheng-10469	342	34	each	each	DET
fumecheng-10469	342	35	other	other	ADJ
fumecheng-10469	342	36	out	out	ADV
fumecheng-10469	342	37	,	,	PUNCT
fumecheng-10469	342	38	consequently	consequently	ADV
fumecheng-10469	342	39	referring	refer	VERB
fumecheng-10469	342	40	to	to	ADP
fumecheng-10469	342	41	classical	classical	ADJ
fumecheng-10469	342	42	elasticity	elasticity	NOUN
fumecheng-10469	342	43	.	.	PUNCT
fumecheng-10469	343	1	moreover	moreover	ADV
fumecheng-10469	343	2	,	,	PUNCT
fumecheng-10469	343	3	greater	great	ADJ
fumecheng-10469	343	4	differences	difference	NOUN
fumecheng-10469	343	5	are	be	AUX
fumecheng-10469	343	6	observed	observe	VERB
fumecheng-10469	343	7	in	in	ADP
fumecheng-10469	343	8	the	the	DET
fumecheng-10469	343	9	case	case	NOUN
fumecheng-10469	343	10	of	of	ADP
fumecheng-10469	343	11	the	the	DET
fumecheng-10469	343	12	strain	strain	NOUN
fumecheng-10469	343	13	gradient	gradient	NOUN
fumecheng-10469	343	14	approach	approach	NOUN
fumecheng-10469	343	15	because	because	SCONJ
fumecheng-10469	343	16	only	only	ADV
fumecheng-10469	343	17	stiffness	stiffness	ADJ
fumecheng-10469	343	18	hardening	hardening	NOUN
fumecheng-10469	343	19	effect	effect	NOUN
fumecheng-10469	343	20	is	be	AUX
fumecheng-10469	343	21	considered	consider	VERB
fumecheng-10469	343	22	.	.	PUNCT
fumecheng-10469	344	1	additionally	additionally	ADV
fumecheng-10469	344	2	,	,	PUNCT
fumecheng-10469	344	3	fig	fig	NOUN
fumecheng-10469	344	4	.	.	PUNCT
fumecheng-10469	345	1	3c	3c	NUM
fumecheng-10469	345	2	clearly	clearly	ADV
fumecheng-10469	345	3	shows	show	VERB
fumecheng-10469	345	4	that	that	SCONJ
fumecheng-10469	345	5	appropriate	appropriate	ADJ
fumecheng-10469	345	6	detection	detection	NOUN
fumecheng-10469	345	7	of	of	ADP
fumecheng-10469	345	8	nonlocal	nonlocal	ADJ
fumecheng-10469	345	9	parameters	parameter	NOUN
fumecheng-10469	345	10	has	have	VERB
fumecheng-10469	345	11	a	a	DET
fumecheng-10469	345	12	crucial	crucial	ADJ
fumecheng-10469	345	13	role	role	NOUN
fumecheng-10469	345	14	in	in	ADP
fumecheng-10469	345	15	predicting	predict	VERB
fumecheng-10469	345	16	dynamic	dynamic	ADJ
fumecheng-10469	345	17	response	response	NOUN
fumecheng-10469	345	18	of	of	ADP
fumecheng-10469	345	19	nano	nano	NOUN
fumecheng-10469	345	20	-	-	PUNCT
fumecheng-10469	345	21	scaled	scale	VERB
fumecheng-10469	345	22	structures	structure	NOUN
fumecheng-10469	345	23	.	.	PUNCT
fumecheng-10469	346	1	the	the	DET
fumecheng-10469	346	2	effect	effect	NOUN
fumecheng-10469	346	3	of	of	ADP
fumecheng-10469	346	4	diverse	diverse	ADJ
fumecheng-10469	346	5	axial	axial	ADJ
fumecheng-10469	346	6	in	in	ADP
fumecheng-10469	346	7	-	-	PUNCT
fumecheng-10469	346	8	plane	plane	NOUN
fumecheng-10469	346	9	forces	force	NOUN
fumecheng-10469	346	10	on	on	ADP
fumecheng-10469	346	11	the	the	DET
fumecheng-10469	346	12	nonlocal	nonlocal	ADJ
fumecheng-10469	346	13	interaction	interaction	NOUN
fumecheng-10469	346	14	range	range	NOUN
fumecheng-10469	346	15	parameter	parameter	NOUN
fumecheng-10469	346	16	for	for	ADP
fumecheng-10469	346	17	eigenfrequencies	eigenfrequencie	NOUN
fumecheng-10469	346	18	of	of	ADP
fumecheng-10469	346	19	homogeneous	homogeneous	ADJ
fumecheng-10469	346	20	nanobeam	nanobeam	NOUN
fumecheng-10469	346	21	is	be	AUX
fumecheng-10469	346	22	presented	present	VERB
fumecheng-10469	346	23	in	in	ADP
fumecheng-10469	346	24	fig	fig	NOUN
fumecheng-10469	346	25	.	.	PUNCT
fumecheng-10469	347	1	4	4	X
fumecheng-10469	347	2	.	.	X
fumecheng-10469	347	3	in	in	ADP
fumecheng-10469	347	4	the	the	DET
fumecheng-10469	347	5	study	study	NOUN
fumecheng-10469	347	6	,	,	PUNCT
fumecheng-10469	347	7	we	we	PRON
fumecheng-10469	347	8	assumed	assume	VERB
fumecheng-10469	347	9	ψ	ψ	X
fumecheng-10469	347	10	=	=	SYM
fumecheng-10469	347	11	1.2	1.2	NUM
fumecheng-10469	347	12	nm	nm	NOUN
fumecheng-10469	347	13	and	and	CCONJ
fumecheng-10469	347	14	length	length	NOUN
fumecheng-10469	347	15	of	of	ADP
fumecheng-10469	347	16	the	the	DET
fumecheng-10469	347	17	nanostructure	nanostructure	NOUN
fumecheng-10469	347	18	l	l	NOUN
fumecheng-10469	348	1	=	=	SYM
fumecheng-10469	348	2	100	100	NUM
fumecheng-10469	348	3	nm	nm	NOUN
fumecheng-10469	348	4	.	.	PUNCT
fumecheng-10469	349	1	the	the	DET
fumecheng-10469	349	2	study	study	NOUN
fumecheng-10469	349	3	considers	consider	VERB
fumecheng-10469	349	4	impact	impact	NOUN
fumecheng-10469	349	5	of	of	ADP
fumecheng-10469	349	6	both	both	PRON
fumecheng-10469	349	7	,	,	PUNCT
fumecheng-10469	349	8	mechanical	mechanical	ADJ
fumecheng-10469	349	9	forces	force	NOUN
fumecheng-10469	349	10	and	and	CCONJ
fumecheng-10469	349	11	electrical	electrical	ADJ
fumecheng-10469	349	12	loads	load	NOUN
fumecheng-10469	349	13	induced	induce	VERB
fumecheng-10469	349	14	by	by	ADP
fumecheng-10469	349	15	an	an	DET
fumecheng-10469	349	16	external	external	ADJ
fumecheng-10469	349	17	voltage	voltage	NOUN
fumecheng-10469	349	18	.	.	PUNCT
fumecheng-10469	350	1	it	it	PRON
fumecheng-10469	350	2	should	should	AUX
fumecheng-10469	350	3	be	be	AUX
fumecheng-10469	350	4	noticed	notice	VERB
fumecheng-10469	350	5	,	,	PUNCT
fumecheng-10469	350	6	applying	apply	VERB
fumecheng-10469	350	7	compressive	compressive	ADJ
fumecheng-10469	350	8	load	load	NOUN
fumecheng-10469	350	9	(	(	PUNCT
fumecheng-10469	350	10	in	in	ADP
fumecheng-10469	350	11	both	both	DET
fumecheng-10469	350	12	cases	case	NOUN
fumecheng-10469	350	13	refer	refer	VERB
fumecheng-10469	350	14	to	to	ADP
fumecheng-10469	350	15	positive	positive	ADJ
fumecheng-10469	350	16	values	value	NOUN
fumecheng-10469	350	17	)	)	PUNCT
fumecheng-10469	350	18	relates	relate	VERB
fumecheng-10469	350	19	to	to	ADP
fumecheng-10469	350	20	higher	high	ADJ
fumecheng-10469	350	21	differences	difference	NOUN
fumecheng-10469	350	22	in	in	ADP
fumecheng-10469	350	23	classicaland	classicaland	NOUN
fumecheng-10469	350	24	nonlocal	nonlocal	ADV
fumecheng-10469	350	25	-	-	PUNCT
fumecheng-10469	350	26	based	base	VERB
fumecheng-10469	350	27	results	result	NOUN
fumecheng-10469	350	28	.	.	PUNCT
fumecheng-10469	351	1	this	this	PRON
fumecheng-10469	351	2	is	be	AUX
fumecheng-10469	351	3	because	because	SCONJ
fumecheng-10469	351	4	additional	additional	ADJ
fumecheng-10469	351	5	compression	compression	NOUN
fumecheng-10469	351	6	generates	generate	VERB
fumecheng-10469	351	7	strains	strain	NOUN
fumecheng-10469	351	8	and	and	CCONJ
fumecheng-10469	351	9	stresses	stress	NOUN
fumecheng-10469	351	10	in	in	ADP
fumecheng-10469	351	11	the	the	DET
fumecheng-10469	351	12	structure	structure	NOUN
fumecheng-10469	351	13	.	.	PUNCT
fumecheng-10469	352	1	the	the	DET
fumecheng-10469	352	2	nanostructure	nanostructure	NOUN
fumecheng-10469	352	3	under	under	ADP
fumecheng-10469	352	4	compression	compression	NOUN
fumecheng-10469	352	5	experiences	experience	NOUN
fumecheng-10469	352	6	small	small	ADJ
fumecheng-10469	352	7	shortening	shortening	NOUN
fumecheng-10469	352	8	and	and	CCONJ
fumecheng-10469	352	9	bent	bent	ADJ
fumecheng-10469	352	10	.	.	PUNCT
fumecheng-10469	353	1	thus	thus	ADV
fumecheng-10469	353	2	,	,	PUNCT
fumecheng-10469	353	3	nonlocal	nonlocal	ADJ
fumecheng-10469	353	4	parameters	parameter	NOUN
fumecheng-10469	353	5	causing	cause	VERB
fumecheng-10469	353	6	further	further	ADJ
fumecheng-10469	353	7	gradients	gradient	NOUN
fumecheng-10469	353	8	of	of	ADP
fumecheng-10469	353	9	stresses	stress	NOUN
fumecheng-10469	353	10	and	and	CCONJ
fumecheng-10469	353	11	strains	strain	NOUN
fumecheng-10469	353	12	result	result	VERB
fumecheng-10469	353	13	in	in	ADP
fumecheng-10469	353	14	greater	great	ADJ
fumecheng-10469	353	15	differences	difference	NOUN
fumecheng-10469	353	16	between	between	ADP
fumecheng-10469	353	17	obtained	obtain	VERB
fumecheng-10469	353	18	results	result	NOUN
fumecheng-10469	353	19	.	.	PUNCT
fumecheng-10469	354	1	the	the	DET
fumecheng-10469	354	2	higher	high	ADJ
fumecheng-10469	354	3	load	load	NOUN
fumecheng-10469	354	4	is	be	AUX
fumecheng-10469	354	5	applied	apply	VERB
fumecheng-10469	354	6	,	,	PUNCT
fumecheng-10469	354	7	the	the	DET
fumecheng-10469	354	8	higher	high	ADJ
fumecheng-10469	354	9	difference	difference	NOUN
fumecheng-10469	354	10	is	be	AUX
fumecheng-10469	354	11	achieved	achieve	VERB
fumecheng-10469	354	12	.	.	PUNCT
fumecheng-10469	355	1	it	it	PRON
fumecheng-10469	355	2	may	may	AUX
fumecheng-10469	355	3	be	be	AUX
fumecheng-10469	355	4	concluded	conclude	VERB
fumecheng-10469	355	5	that	that	SCONJ
fumecheng-10469	355	6	small	small	ADJ
fumecheng-10469	355	7	-	-	PUNCT
fumecheng-10469	355	8	scale	scale	NOUN
fumecheng-10469	355	9	parameters	parameter	NOUN
fumecheng-10469	355	10	have	have	VERB
fumecheng-10469	355	11	the	the	DET
fumecheng-10469	355	12	most	most	ADV
fumecheng-10469	355	13	important	important	ADJ
fumecheng-10469	355	14	role	role	NOUN
fumecheng-10469	355	15	when	when	SCONJ
fumecheng-10469	355	16	the	the	DET
fumecheng-10469	355	17	nanostructure	nanostructure	NOUN
fumecheng-10469	355	18	is	be	AUX
fumecheng-10469	355	19	subjected	subject	VERB
fumecheng-10469	355	20	to	to	ADP
fumecheng-10469	355	21	loads	load	NOUN
fumecheng-10469	355	22	near	near	ADP
fumecheng-10469	355	23	their	their	PRON
fumecheng-10469	355	24	critical	critical	ADJ
fumecheng-10469	355	25	values	value	NOUN
fumecheng-10469	355	26	.	.	PUNCT
fumecheng-10469	356	1	on	on	ADP
fumecheng-10469	356	2	the	the	DET
fumecheng-10469	356	3	other	other	ADJ
fumecheng-10469	356	4	hand	hand	NOUN
fumecheng-10469	356	5	,	,	PUNCT
fumecheng-10469	356	6	negative	negative	ADJ
fumecheng-10469	356	7	values	value	NOUN
fumecheng-10469	356	8	of	of	ADP
fumecheng-10469	356	9	applied	apply	VERB
fumecheng-10469	356	10	loads	load	NOUN
fumecheng-10469	356	11	decrease	decrease	VERB
fumecheng-10469	356	12	the	the	DET
fumecheng-10469	356	13	results	result	NOUN
fumecheng-10469	356	14	differences	difference	NOUN
fumecheng-10469	356	15	because	because	SCONJ
fumecheng-10469	356	16	the	the	DET
fumecheng-10469	356	17	tension	tension	NOUN
fumecheng-10469	356	18	causes	cause	VERB
fumecheng-10469	356	19	opposite	opposite	ADJ
fumecheng-10469	356	20	situation	situation	NOUN
fumecheng-10469	356	21	and	and	CCONJ
fumecheng-10469	356	22	results	result	NOUN
fumecheng-10469	356	23	in	in	ADP
fumecheng-10469	356	24	a	a	DET
fumecheng-10469	356	25	small	small	ADJ
fumecheng-10469	356	26	lengthening	lengthening	NOUN
fumecheng-10469	356	27	of	of	ADP
fumecheng-10469	356	28	the	the	DET
fumecheng-10469	356	29	structure	structure	NOUN
fumecheng-10469	356	30	.	.	PUNCT
fumecheng-10469	357	1	continuing	continue	VERB
fumecheng-10469	357	2	study	study	NOUN
fumecheng-10469	357	3	on	on	ADP
fumecheng-10469	357	4	diverse	diverse	ADJ
fumecheng-10469	357	5	loads	load	NOUN
fumecheng-10469	357	6	acting	act	VERB
fumecheng-10469	357	7	on	on	ADP
fumecheng-10469	357	8	sandwich	sandwich	NOUN
fumecheng-10469	357	9	nanobeam	nanobeam	NOUN
fumecheng-10469	357	10	,	,	PUNCT
fumecheng-10469	357	11	the	the	DET
fumecheng-10469	357	12	nonlocal	nonlocal	ADJ
fumecheng-10469	357	13	interaction	interaction	NOUN
fumecheng-10469	357	14	range	range	NOUN
fumecheng-10469	357	15	parameter	parameter	NOUN
fumecheng-10469	357	16	for	for	ADP
fumecheng-10469	357	17	natural	natural	ADJ
fumecheng-10469	357	18	frequency	frequency	NOUN
fumecheng-10469	357	19	of	of	ADP
fumecheng-10469	357	20	nanobeam	nanobeam	NOUN
fumecheng-10469	357	21	subjected	subject	VERB
fumecheng-10469	357	22	to	to	ADP
fumecheng-10469	357	23	complex	complex	ADJ
fumecheng-10469	357	24	loadings	loading	NOUN
fumecheng-10469	357	25	is	be	AUX
fumecheng-10469	357	26	examined	examine	VERB
fumecheng-10469	357	27	considering	consider	VERB
fumecheng-10469	357	28	diverse	diverse	ADJ
fumecheng-10469	357	29	length	length	NOUN
fumecheng-10469	357	30	to	to	ADP
fumecheng-10469	357	31	thickness	thickness	NOUN
fumecheng-10469	357	32	ratios	ratio	NOUN
fumecheng-10469	357	33	.	.	PUNCT
fumecheng-10469	358	1	in	in	ADP
fumecheng-10469	358	2	the	the	DET
fumecheng-10469	358	3	study	study	NOUN
fumecheng-10469	358	4	,	,	PUNCT
fumecheng-10469	358	5	it	it	PRON
fumecheng-10469	358	6	is	be	AUX
fumecheng-10469	358	7	also	also	ADV
fumecheng-10469	358	8	assumed	assume	VERB
fumecheng-10469	358	9	homogeneous	homogeneous	ADJ
fumecheng-10469	358	10	core	core	NOUN
fumecheng-10469	358	11	.	.	PUNCT
fumecheng-10469	359	1	figure	figure	NOUN
fumecheng-10469	359	2	5	5	NUM
fumecheng-10469	359	3	indicates	indicate	VERB
fumecheng-10469	359	4	that	that	SCONJ
fumecheng-10469	359	5	despite	despite	SCONJ
fumecheng-10469	359	6	simultaneous	simultaneous	ADJ
fumecheng-10469	359	7	acting	act	VERB
fumecheng-10469	359	8	tension	tension	NOUN
fumecheng-10469	359	9	and	and	CCONJ
fumecheng-10469	359	10	compression	compression	NOUN
fumecheng-10469	359	11	,	,	PUNCT
fumecheng-10469	359	12	the	the	DET
fumecheng-10469	359	13	applied	apply	VERB
fumecheng-10469	359	14	loads	load	NOUN
fumecheng-10469	359	15	lead	lead	VERB
fumecheng-10469	359	16	to	to	ADP
fumecheng-10469	359	17	an	an	DET
fumecheng-10469	359	18	increase	increase	NOUN
fumecheng-10469	359	19	of	of	ADP
fumecheng-10469	359	20	differences	difference	NOUN
fumecheng-10469	359	21	between	between	ADP
fumecheng-10469	359	22	results	result	NOUN
fumecheng-10469	359	23	from	from	ADP
fumecheng-10469	359	24	local	local	ADJ
fumecheng-10469	359	25	and	and	CCONJ
fumecheng-10469	359	26	nonlocal	nonlocal	ADJ
fumecheng-10469	359	27	approaches	approach	NOUN
fumecheng-10469	359	28	.	.	PUNCT
fumecheng-10469	360	1	it	it	PRON
fumecheng-10469	360	2	is	be	AUX
fumecheng-10469	360	3	also	also	ADV
fumecheng-10469	360	4	observed	observe	VERB
fumecheng-10469	360	5	,	,	PUNCT
fumecheng-10469	360	6	despite	despite	SCONJ
fumecheng-10469	360	7	applying	apply	VERB
fumecheng-10469	360	8	loads	load	NOUN
fumecheng-10469	360	9	the	the	DET
fumecheng-10469	360	10	nonlocal	nonlocal	ADJ
fumecheng-10469	360	11	interaction	interaction	NOUN
fumecheng-10469	360	12	range	range	NOUN
fumecheng-10469	360	13	decrease	decrease	NOUN
fumecheng-10469	360	14	with	with	ADP
fumecheng-10469	360	15	increasing	increase	VERB
fumecheng-10469	360	16	length	length	NOUN
fumecheng-10469	360	17	to	to	ADP
fumecheng-10469	360	18	thickness	thickness	NOUN
fumecheng-10469	360	19	ratio	ratio	NOUN
fumecheng-10469	360	20	.	.	PUNCT
fumecheng-10469	361	1	it	it	PRON
fumecheng-10469	361	2	clearly	clearly	ADV
fumecheng-10469	361	3	presents	present	VERB
fumecheng-10469	361	4	,	,	PUNCT
fumecheng-10469	361	5	increasing	increase	VERB
fumecheng-10469	361	6	dimensions	dimension	NOUN
fumecheng-10469	361	7	of	of	ADP
fumecheng-10469	361	8	the	the	DET
fumecheng-10469	361	9	nanostructure	nanostructure	NOUN
fumecheng-10469	361	10	decreases	decrease	VERB
fumecheng-10469	361	11	applications	application	NOUN
fumecheng-10469	361	12	’	'	PUNCT
fumecheng-10469	361	13	range	range	NOUN
fumecheng-10469	361	14	of	of	ADP
fumecheng-10469	361	15	size	size	NOUN
fumecheng-10469	361	16	-	-	PUNCT
fumecheng-10469	361	17	dependent	dependent	ADJ
fumecheng-10469	361	18	coefficients	coefficient	NOUN
fumecheng-10469	361	19	by	by	ADP
fumecheng-10469	361	20	decreasing	decrease	VERB
fumecheng-10469	361	21	a	a	DET
fumecheng-10469	361	22	long	long	ADJ
fumecheng-10469	361	23	-	-	PUNCT
fumecheng-10469	361	24	range	range	NOUN
fumecheng-10469	361	25	interaction	interaction	NOUN
fumecheng-10469	361	26	.	.	PUNCT
fumecheng-10469	362	1	consequently	consequently	ADV
fumecheng-10469	362	2	,	,	PUNCT
fumecheng-10469	362	3	it	it	PRON
fumecheng-10469	362	4	may	may	AUX
fumecheng-10469	362	5	be	be	AUX
fumecheng-10469	362	6	an	an	DET
fumecheng-10469	362	7	important	important	ADJ
fumecheng-10469	362	8	issue	issue	NOUN
fumecheng-10469	362	9	to	to	ADP
fumecheng-10469	362	10	470	470	NUM
fumecheng-10469	362	11	p.	p.	NOUN
fumecheng-10469	362	12	jankowski	jankowski	PROPN
fumecheng-10469	362	13	appropriately	appropriately	ADV
fumecheng-10469	362	14	detect	detect	VERB
fumecheng-10469	362	15	the	the	DET
fumecheng-10469	362	16	nonlocal	nonlocal	ADJ
fumecheng-10469	362	17	parameters	parameter	NOUN
fumecheng-10469	362	18	in	in	ADP
fumecheng-10469	362	19	terms	term	NOUN
fumecheng-10469	362	20	of	of	ADP
fumecheng-10469	362	21	dimensions	dimension	NOUN
fumecheng-10469	362	22	of	of	ADP
fumecheng-10469	362	23	the	the	DET
fumecheng-10469	362	24	studied	studied	ADJ
fumecheng-10469	362	25	nanostructure	nanostructure	NOUN
fumecheng-10469	362	26	.	.	PUNCT
fumecheng-10469	363	1	a	a	DET
fumecheng-10469	363	2	)	)	PUNCT
fumecheng-10469	363	3	b	b	NOUN
fumecheng-10469	363	4	)	)	PUNCT
fumecheng-10469	363	5	fig	fig	NOUN
fumecheng-10469	363	6	.	.	PUNCT
fumecheng-10469	364	1	4	4	NUM
fumecheng-10469	364	2	influence	influence	NOUN
fumecheng-10469	364	3	of	of	ADP
fumecheng-10469	364	4	external	external	ADJ
fumecheng-10469	364	5	axial	axial	ADJ
fumecheng-10469	364	6	in	in	ADP
fumecheng-10469	364	7	-	-	PUNCT
fumecheng-10469	364	8	plane	plane	NOUN
fumecheng-10469	364	9	forces	force	NOUN
fumecheng-10469	364	10	on	on	ADP
fumecheng-10469	364	11	the	the	DET
fumecheng-10469	364	12	nonlocal	nonlocal	ADJ
fumecheng-10469	364	13	interaction	interaction	NOUN
fumecheng-10469	364	14	range	range	NOUN
fumecheng-10469	364	15	parameter	parameter	NOUN
fumecheng-10469	364	16	:	:	PUNCT
fumecheng-10469	364	17	a	a	X
fumecheng-10469	364	18	)	)	PUNCT
fumecheng-10469	364	19	mechanical	mechanical	ADJ
fumecheng-10469	364	20	forces	force	NOUN
fumecheng-10469	364	21	;	;	PUNCT
fumecheng-10469	364	22	b	b	X
fumecheng-10469	364	23	)	)	PUNCT
fumecheng-10469	364	24	electrical	electrical	ADJ
fumecheng-10469	364	25	forces	force	NOUN
fumecheng-10469	364	26	fig	fig	NOUN
fumecheng-10469	364	27	.	.	PUNCT
fumecheng-10469	365	1	5	5	NUM
fumecheng-10469	365	2	influence	influence	NOUN
fumecheng-10469	365	3	of	of	ADP
fumecheng-10469	365	4	complex	complex	ADJ
fumecheng-10469	365	5	loadings	loading	NOUN
fumecheng-10469	365	6	,	,	PUNCT
fumecheng-10469	365	7	length	length	NOUN
fumecheng-10469	365	8	to	to	ADP
fumecheng-10469	365	9	thickness	thickness	NOUN
fumecheng-10469	365	10	ratio	ratio	NOUN
fumecheng-10469	365	11	and	and	CCONJ
fumecheng-10469	365	12	small	small	ADJ
fumecheng-10469	365	13	-	-	PUNCT
fumecheng-10469	365	14	scale	scale	NOUN
fumecheng-10469	365	15	parameters	parameter	NOUN
fumecheng-10469	365	16	on	on	ADP
fumecheng-10469	365	17	the	the	DET
fumecheng-10469	365	18	nonlocal	nonlocal	ADJ
fumecheng-10469	365	19	interaction	interaction	NOUN
fumecheng-10469	365	20	range	range	NOUN
fumecheng-10469	365	21	parameter	parameter	NOUN
fumecheng-10469	365	22	detection	detection	NOUN
fumecheng-10469	365	23	of	of	ADP
fumecheng-10469	365	24	nonlocal	nonlocal	ADJ
fumecheng-10469	365	25	calibration	calibration	NOUN
fumecheng-10469	365	26	parameters	parameter	NOUN
fumecheng-10469	365	27	and	and	CCONJ
fumecheng-10469	365	28	range	range	NOUN
fumecheng-10469	365	29	interaction	interaction	NOUN
fumecheng-10469	365	30	for	for	ADP
fumecheng-10469	365	31	dynamics	dynamic	NOUN
fumecheng-10469	365	32	of	of	ADP
fumecheng-10469	365	33	fgm	fgm	PROPN
fumecheng-10469	365	34	porous	porous	ADJ
fumecheng-10469	365	35	…	…	PUNCT
fumecheng-10469	365	36	471	471	NUM
fumecheng-10469	365	37	the	the	DET
fumecheng-10469	365	38	effect	effect	NOUN
fumecheng-10469	365	39	of	of	ADP
fumecheng-10469	365	40	varying	vary	VERB
fumecheng-10469	365	41	mechanical	mechanical	ADJ
fumecheng-10469	365	42	properties	property	NOUN
fumecheng-10469	365	43	of	of	ADP
fumecheng-10469	365	44	functionally	functionally	ADV
fumecheng-10469	365	45	graded	grade	VERB
fumecheng-10469	365	46	core	core	NOUN
fumecheng-10469	365	47	in	in	ADP
fumecheng-10469	365	48	conjunction	conjunction	NOUN
fumecheng-10469	365	49	with	with	ADP
fumecheng-10469	365	50	nonlocal	nonlocal	ADJ
fumecheng-10469	365	51	parameters	parameter	NOUN
fumecheng-10469	365	52	and	and	CCONJ
fumecheng-10469	365	53	diverse	diverse	ADJ
fumecheng-10469	365	54	length	length	NOUN
fumecheng-10469	365	55	to	to	ADP
fumecheng-10469	365	56	thickness	thickness	NOUN
fumecheng-10469	365	57	ratios	ratio	NOUN
fumecheng-10469	365	58	on	on	ADP
fumecheng-10469	365	59	the	the	DET
fumecheng-10469	365	60	nonlocal	nonlocal	ADJ
fumecheng-10469	365	61	interaction	interaction	NOUN
fumecheng-10469	365	62	range	range	NOUN
fumecheng-10469	365	63	parameters	parameter	NOUN
fumecheng-10469	365	64	is	be	AUX
fumecheng-10469	365	65	examined	examine	VERB
fumecheng-10469	365	66	in	in	ADP
fumecheng-10469	365	67	fig	fig	NOUN
fumecheng-10469	365	68	.	.	PUNCT
fumecheng-10469	366	1	6	6	NUM
fumecheng-10469	366	2	.	.	X
fumecheng-10469	366	3	in	in	ADP
fumecheng-10469	366	4	this	this	DET
fumecheng-10469	366	5	study	study	NOUN
fumecheng-10469	366	6	,	,	PUNCT
fumecheng-10469	366	7	we	we	PRON
fumecheng-10469	366	8	assumed	assume	VERB
fumecheng-10469	366	9	constant	constant	ADJ
fumecheng-10469	366	10	compressive	compressive	ADJ
fumecheng-10469	366	11	force	force	NOUN
fumecheng-10469	366	12	acting	act	VERB
fumecheng-10469	366	13	on	on	ADP
fumecheng-10469	366	14	the	the	DET
fumecheng-10469	366	15	nanostructure	nanostructure	NOUN
fumecheng-10469	366	16	as	as	SCONJ
fumecheng-10469	366	17	ˆ	ˆ	NOUN
fumecheng-10469	366	18	xxn	xxn	PROPN
fumecheng-10469	366	19	=	=	SYM
fumecheng-10469	366	20	6	6	NUM
fumecheng-10469	366	21	n.	n.	NOUN
fumecheng-10469	366	22	according	accord	VERB
fumecheng-10469	366	23	to	to	ADP
fumecheng-10469	366	24	previously	previously	ADV
fumecheng-10469	366	25	discussed	discuss	VERB
fumecheng-10469	366	26	cases	case	NOUN
fumecheng-10469	366	27	,	,	PUNCT
fumecheng-10469	366	28	size	size	NOUN
fumecheng-10469	366	29	-	-	PUNCT
fumecheng-10469	366	30	dependent	dependent	ADJ
fumecheng-10469	366	31	coefficients	coefficient	NOUN
fumecheng-10469	366	32	change	change	VERB
fumecheng-10469	366	33	influence	influence	NOUN
fumecheng-10469	366	34	on	on	ADP
fumecheng-10469	366	35	the	the	DET
fumecheng-10469	366	36	nonlocal	nonlocal	ADJ
fumecheng-10469	366	37	interaction	interaction	NOUN
fumecheng-10469	366	38	range	range	NOUN
fumecheng-10469	366	39	parameter	parameter	NOUN
fumecheng-10469	366	40	depending	depend	VERB
fumecheng-10469	366	41	on	on	ADP
fumecheng-10469	366	42	l	l	NOUN
fumecheng-10469	366	43	/	/	SYM
fumecheng-10469	366	44	h	h	NOUN
fumecheng-10469	366	45	ratios	ratio	NOUN
fumecheng-10469	366	46	.	.	PUNCT
fumecheng-10469	367	1	nevertheless	nevertheless	ADV
fumecheng-10469	367	2	,	,	PUNCT
fumecheng-10469	367	3	opposite	opposite	ADJ
fumecheng-10469	367	4	to	to	ADP
fumecheng-10469	367	5	previous	previous	ADJ
fumecheng-10469	367	6	results	result	NOUN
fumecheng-10469	367	7	,	,	PUNCT
fumecheng-10469	367	8	higher	high	ADJ
fumecheng-10469	367	9	differences	difference	NOUN
fumecheng-10469	367	10	are	be	AUX
fumecheng-10469	367	11	observed	observe	VERB
fumecheng-10469	367	12	for	for	ADP
fumecheng-10469	367	13	higher	high	ADJ
fumecheng-10469	367	14	length	length	NOUN
fumecheng-10469	367	15	to	to	ADP
fumecheng-10469	367	16	thickness	thickness	NOUN
fumecheng-10469	367	17	ratio	ratio	NOUN
fumecheng-10469	367	18	when	when	SCONJ
fumecheng-10469	367	19	the	the	DET
fumecheng-10469	367	20	core	core	NOUN
fumecheng-10469	367	21	structure	structure	NOUN
fumecheng-10469	367	22	is	be	AUX
fumecheng-10469	367	23	functionally	functionally	ADV
fumecheng-10469	367	24	graded	grade	VERB
fumecheng-10469	367	25	.	.	PUNCT
fumecheng-10469	368	1	what	what	PRON
fumecheng-10469	368	2	is	be	AUX
fumecheng-10469	368	3	more	more	ADJ
fumecheng-10469	368	4	,	,	PUNCT
fumecheng-10469	368	5	increasing	increase	VERB
fumecheng-10469	368	6	the	the	DET
fumecheng-10469	368	7	power	power	NOUN
fumecheng-10469	368	8	-	-	PUNCT
fumecheng-10469	368	9	law	law	NOUN
fumecheng-10469	368	10	index	index	NOUN
fumecheng-10469	368	11	increases	increase	VERB
fumecheng-10469	368	12	value	value	NOUN
fumecheng-10469	368	13	of	of	ADP
fumecheng-10469	368	14	the	the	DET
fumecheng-10469	368	15	nonlocal	nonlocal	ADJ
fumecheng-10469	368	16	interaction	interaction	NOUN
fumecheng-10469	368	17	range	range	NOUN
fumecheng-10469	368	18	parameter	parameter	NOUN
fumecheng-10469	368	19	.	.	PUNCT
fumecheng-10469	369	1	varying	vary	VERB
fumecheng-10469	369	2	material	material	NOUN
fumecheng-10469	369	3	properties	property	NOUN
fumecheng-10469	369	4	influence	influence	NOUN
fumecheng-10469	369	5	resultant	resultant	VERB
fumecheng-10469	369	6	stiffness	stiffness	NOUN
fumecheng-10469	369	7	and	and	CCONJ
fumecheng-10469	369	8	mass	mass	ADJ
fumecheng-10469	369	9	moments	moment	NOUN
fumecheng-10469	369	10	of	of	ADP
fumecheng-10469	369	11	inertias	inertia	NOUN
fumecheng-10469	369	12	,	,	PUNCT
fumecheng-10469	369	13	consequently	consequently	ADV
fumecheng-10469	369	14	coupled	couple	VERB
fumecheng-10469	369	15	with	with	ADP
fumecheng-10469	369	16	nonlocal	nonlocal	ADJ
fumecheng-10469	369	17	parameters	parameter	NOUN
fumecheng-10469	369	18	and	and	CCONJ
fumecheng-10469	369	19	higher	high	ADJ
fumecheng-10469	369	20	-	-	PUNCT
fumecheng-10469	369	21	order	order	NOUN
fumecheng-10469	369	22	displacements	displacement	NOUN
fumecheng-10469	369	23	derivatives	derivative	NOUN
fumecheng-10469	369	24	have	have	VERB
fumecheng-10469	369	25	a	a	DET
fumecheng-10469	369	26	greater	great	ADJ
fumecheng-10469	369	27	impact	impact	NOUN
fumecheng-10469	369	28	on	on	ADP
fumecheng-10469	369	29	a	a	DET
fumecheng-10469	369	30	dynamic	dynamic	ADJ
fumecheng-10469	369	31	behavior	behavior	NOUN
fumecheng-10469	369	32	of	of	ADP
fumecheng-10469	369	33	nanostructures	nanostructure	NOUN
fumecheng-10469	369	34	.	.	PUNCT
fumecheng-10469	370	1	moreover	moreover	ADV
fumecheng-10469	370	2	,	,	PUNCT
fumecheng-10469	370	3	applied	apply	VERB
fumecheng-10469	370	4	compressive	compressive	ADJ
fumecheng-10469	370	5	mechanical	mechanical	ADJ
fumecheng-10469	370	6	forces	force	NOUN
fumecheng-10469	370	7	are	be	AUX
fumecheng-10469	370	8	approaching	approach	VERB
fumecheng-10469	370	9	the	the	DET
fumecheng-10469	370	10	critical	critical	ADJ
fumecheng-10469	370	11	value	value	NOUN
fumecheng-10469	370	12	for	for	ADP
fumecheng-10469	370	13	fgm	fgm	PROPN
fumecheng-10469	370	14	structure	structure	NOUN
fumecheng-10469	370	15	with	with	ADP
fumecheng-10469	370	16	l	l	PROPN
fumecheng-10469	370	17	/	/	SYM
fumecheng-10469	370	18	h	h	NOUN
fumecheng-10469	370	19	=	=	NOUN
fumecheng-10469	370	20	15	15	NUM
fumecheng-10469	370	21	.	.	PUNCT
fumecheng-10469	371	1	it	it	PRON
fumecheng-10469	371	2	confirms	confirm	VERB
fumecheng-10469	371	3	the	the	DET
fumecheng-10469	371	4	previously	previously	ADV
fumecheng-10469	371	5	stated	state	VERB
fumecheng-10469	371	6	suggestion	suggestion	NOUN
fumecheng-10469	371	7	that	that	SCONJ
fumecheng-10469	371	8	small	small	ADJ
fumecheng-10469	371	9	-	-	PUNCT
fumecheng-10469	371	10	scale	scale	NOUN
fumecheng-10469	371	11	parameters	parameter	NOUN
fumecheng-10469	371	12	are	be	AUX
fumecheng-10469	371	13	significant	significant	ADJ
fumecheng-10469	371	14	when	when	SCONJ
fumecheng-10469	371	15	the	the	DET
fumecheng-10469	371	16	structure	structure	NOUN
fumecheng-10469	371	17	is	be	AUX
fumecheng-10469	371	18	under	under	ADP
fumecheng-10469	371	19	load	load	NOUN
fumecheng-10469	371	20	that	that	PRON
fumecheng-10469	371	21	is	be	AUX
fumecheng-10469	371	22	near	near	ADJ
fumecheng-10469	371	23	to	to	ADP
fumecheng-10469	371	24	its	its	PRON
fumecheng-10469	371	25	critical	critical	ADJ
fumecheng-10469	371	26	value	value	NOUN
fumecheng-10469	371	27	.	.	PUNCT
fumecheng-10469	372	1	fig	fig	NOUN
fumecheng-10469	372	2	.	.	PUNCT
fumecheng-10469	373	1	6	6	NUM
fumecheng-10469	373	2	influence	influence	NOUN
fumecheng-10469	373	3	of	of	ADP
fumecheng-10469	373	4	length	length	NOUN
fumecheng-10469	373	5	to	to	ADP
fumecheng-10469	373	6	thickness	thickness	NOUN
fumecheng-10469	373	7	ratio	ratio	NOUN
fumecheng-10469	373	8	,	,	PUNCT
fumecheng-10469	373	9	material	material	NOUN
fumecheng-10469	373	10	gradation	gradation	NOUN
fumecheng-10469	373	11	and	and	CCONJ
fumecheng-10469	373	12	small	small	ADJ
fumecheng-10469	373	13	-	-	PUNCT
fumecheng-10469	373	14	scale	scale	NOUN
fumecheng-10469	373	15	parameters	parameter	NOUN
fumecheng-10469	373	16	on	on	ADP
fumecheng-10469	373	17	nonlocal	nonlocal	ADJ
fumecheng-10469	373	18	interaction	interaction	NOUN
fumecheng-10469	373	19	range	range	NOUN
fumecheng-10469	373	20	parameter	parameter	NOUN
fumecheng-10469	373	21	fig	fig	PROPN
fumecheng-10469	373	22	.	.	PUNCT
fumecheng-10469	374	1	7	7	NUM
fumecheng-10469	374	2	influence	influence	NOUN
fumecheng-10469	374	3	of	of	ADP
fumecheng-10469	374	4	length	length	NOUN
fumecheng-10469	374	5	to	to	ADP
fumecheng-10469	374	6	thickness	thickness	NOUN
fumecheng-10469	374	7	ratio	ratio	NOUN
fumecheng-10469	374	8	,	,	PUNCT
fumecheng-10469	374	9	volume	volume	NOUN
fumecheng-10469	374	10	of	of	ADP
fumecheng-10469	374	11	voids	voids	NOUN
fumecheng-10469	374	12	and	and	CCONJ
fumecheng-10469	374	13	small	small	ADJ
fumecheng-10469	374	14	-	-	PUNCT
fumecheng-10469	374	15	scale	scale	NOUN
fumecheng-10469	374	16	parameters	parameter	NOUN
fumecheng-10469	374	17	on	on	ADP
fumecheng-10469	374	18	nonlocal	nonlocal	ADJ
fumecheng-10469	374	19	interaction	interaction	NOUN
fumecheng-10469	374	20	range	range	NOUN
fumecheng-10469	374	21	parameter	parameter	NOUN
fumecheng-10469	374	22	472	472	NUM
fumecheng-10469	374	23	p.	p.	NOUN
fumecheng-10469	374	24	jankowski	jankowski	PROPN
fumecheng-10469	374	25	figure	figure	NOUN
fumecheng-10469	374	26	7	7	NUM
fumecheng-10469	374	27	displays	display	NOUN
fumecheng-10469	374	28	impact	impact	NOUN
fumecheng-10469	374	29	of	of	ADP
fumecheng-10469	374	30	volume	volume	NOUN
fumecheng-10469	374	31	of	of	ADP
fumecheng-10469	374	32	voids	voids	NOUN
fumecheng-10469	374	33	(	(	PUNCT
fumecheng-10469	374	34	type	type	NOUN
fumecheng-10469	374	35	1	1	NUM
fumecheng-10469	374	36	porosity	porosity	NOUN
fumecheng-10469	374	37	distribution	distribution	NOUN
fumecheng-10469	374	38	)	)	PUNCT
fumecheng-10469	374	39	,	,	PUNCT
fumecheng-10469	374	40	size	size	NOUN
fumecheng-10469	374	41	-	-	PUNCT
fumecheng-10469	374	42	dependent	dependent	ADJ
fumecheng-10469	374	43	parameters	parameter	NOUN
fumecheng-10469	374	44	,	,	PUNCT
fumecheng-10469	374	45	and	and	CCONJ
fumecheng-10469	374	46	aspect	aspect	VERB
fumecheng-10469	374	47	ratio	ratio	NOUN
fumecheng-10469	374	48	on	on	ADP
fumecheng-10469	374	49	the	the	DET
fumecheng-10469	374	50	nonlocal	nonlocal	ADJ
fumecheng-10469	374	51	interaction	interaction	NOUN
fumecheng-10469	374	52	range	range	NOUN
fumecheng-10469	374	53	parameter	parameter	NOUN
fumecheng-10469	374	54	.	.	PUNCT
fumecheng-10469	375	1	in	in	ADP
fumecheng-10469	375	2	the	the	DET
fumecheng-10469	375	3	study	study	NOUN
fumecheng-10469	375	4	it	it	PRON
fumecheng-10469	375	5	is	be	AUX
fumecheng-10469	375	6	assumed	assume	VERB
fumecheng-10469	375	7	that	that	SCONJ
fumecheng-10469	375	8	homogeneous	homogeneous	ADJ
fumecheng-10469	375	9	nanobeam	nanobeam	NOUN
fumecheng-10469	375	10	is	be	AUX
fumecheng-10469	375	11	subjected	subject	VERB
fumecheng-10469	375	12	to	to	ADP
fumecheng-10469	375	13	electric	electric	ADJ
fumecheng-10469	375	14	field	field	NOUN
fumecheng-10469	375	15	induced	induce	VERB
fumecheng-10469	375	16	by	by	ADP
fumecheng-10469	375	17	external	external	ADJ
fumecheng-10469	375	18	voltage	voltage	NOUN
fumecheng-10469	375	19	ϕ0	ϕ0	NOUN
fumecheng-10469	375	20	=	=	NOUN
fumecheng-10469	375	21	0.95	0.95	NUM
fumecheng-10469	375	22	v.	v.	ADP
fumecheng-10469	375	23	similar	similar	ADJ
fumecheng-10469	375	24	to	to	ADP
fumecheng-10469	375	25	the	the	DET
fumecheng-10469	375	26	previously	previously	ADV
fumecheng-10469	375	27	discussed	discuss	VERB
fumecheng-10469	375	28	situation	situation	NOUN
fumecheng-10469	375	29	,	,	PUNCT
fumecheng-10469	375	30	increasing	increase	VERB
fumecheng-10469	375	31	volume	volume	NOUN
fumecheng-10469	375	32	of	of	ADP
fumecheng-10469	375	33	voids	voids	NOUN
fumecheng-10469	375	34	decreases	decrease	VERB
fumecheng-10469	375	35	nanostructure	nanostructure	NOUN
fumecheng-10469	375	36	’s	’s	PART
fumecheng-10469	375	37	stiffness	stiffness	NOUN
fumecheng-10469	375	38	and	and	CCONJ
fumecheng-10469	375	39	mass	mass	ADJ
fumecheng-10469	375	40	density	density	NOUN
fumecheng-10469	375	41	,	,	PUNCT
fumecheng-10469	375	42	so	so	SCONJ
fumecheng-10469	375	43	it	it	PRON
fumecheng-10469	375	44	affects	affect	VERB
fumecheng-10469	375	45	resultant	resultant	VERB
fumecheng-10469	375	46	stiffness	stiffness	ADJ
fumecheng-10469	375	47	coefficients	coefficient	NOUN
fumecheng-10469	375	48	and	and	CCONJ
fumecheng-10469	375	49	mass	mass	ADJ
fumecheng-10469	375	50	moments	moment	NOUN
fumecheng-10469	375	51	of	of	ADP
fumecheng-10469	375	52	inertia	inertia	NOUN
fumecheng-10469	375	53	.	.	PUNCT
fumecheng-10469	376	1	therefore	therefore	ADV
fumecheng-10469	376	2	,	,	PUNCT
fumecheng-10469	376	3	applied	apply	VERB
fumecheng-10469	376	4	nonlocal	nonlocal	ADJ
fumecheng-10469	376	5	parameters	parameter	NOUN
fumecheng-10469	376	6	and	and	CCONJ
fumecheng-10469	376	7	higherorder	higherorder	VERB
fumecheng-10469	376	8	derivatives	derivative	NOUN
fumecheng-10469	376	9	of	of	ADP
fumecheng-10469	376	10	displacements	displacement	NOUN
fumecheng-10469	376	11	have	have	VERB
fumecheng-10469	376	12	a	a	DET
fumecheng-10469	376	13	greater	great	ADJ
fumecheng-10469	376	14	impact	impact	NOUN
fumecheng-10469	376	15	on	on	ADP
fumecheng-10469	376	16	free	free	ADJ
fumecheng-10469	376	17	vibration	vibration	NOUN
fumecheng-10469	376	18	response	response	NOUN
fumecheng-10469	376	19	of	of	ADP
fumecheng-10469	376	20	nanobeam	nanobeam	NOUN
fumecheng-10469	376	21	with	with	ADP
fumecheng-10469	376	22	lower	low	ADJ
fumecheng-10469	376	23	stiffness	stiffness	NOUN
fumecheng-10469	376	24	and	and	CCONJ
fumecheng-10469	376	25	density	density	NOUN
fumecheng-10469	376	26	.	.	PUNCT
fumecheng-10469	377	1	this	this	DET
fumecheng-10469	377	2	investigation	investigation	NOUN
fumecheng-10469	377	3	ensures	ensure	VERB
fumecheng-10469	377	4	,	,	PUNCT
fumecheng-10469	377	5	that	that	SCONJ
fumecheng-10469	377	6	regardless	regardless	ADV
fumecheng-10469	377	7	of	of	ADP
fumecheng-10469	377	8	mechanical	mechanical	ADJ
fumecheng-10469	377	9	or	or	CCONJ
fumecheng-10469	377	10	electrical	electrical	ADJ
fumecheng-10469	377	11	forces	force	NOUN
fumecheng-10469	377	12	are	be	AUX
fumecheng-10469	377	13	applied	apply	VERB
fumecheng-10469	377	14	,	,	PUNCT
fumecheng-10469	377	15	loads	load	NOUN
fumecheng-10469	377	16	tending	tend	VERB
fumecheng-10469	377	17	to	to	ADP
fumecheng-10469	377	18	critical	critical	ADJ
fumecheng-10469	377	19	values	value	NOUN
fumecheng-10469	377	20	have	have	VERB
fumecheng-10469	377	21	a	a	DET
fumecheng-10469	377	22	higher	high	ADJ
fumecheng-10469	377	23	impact	impact	NOUN
fumecheng-10469	377	24	on	on	ADP
fumecheng-10469	377	25	the	the	DET
fumecheng-10469	377	26	nonlocal	nonlocal	ADJ
fumecheng-10469	377	27	interaction	interaction	NOUN
fumecheng-10469	377	28	range	range	NOUN
fumecheng-10469	377	29	parameter	parameter	NOUN
fumecheng-10469	377	30	because	because	SCONJ
fumecheng-10469	377	31	of	of	ADP
fumecheng-10469	377	32	more	more	ADV
fumecheng-10469	377	33	significant	significant	ADJ
fumecheng-10469	377	34	strains	strain	NOUN
fumecheng-10469	377	35	or	or	CCONJ
fumecheng-10469	377	36	stresses	stress	VERB
fumecheng-10469	377	37	gradients	gradient	NOUN
fumecheng-10469	377	38	.	.	PUNCT
fumecheng-10469	378	1	the	the	DET
fumecheng-10469	378	2	influence	influence	NOUN
fumecheng-10469	378	3	of	of	ADP
fumecheng-10469	378	4	diverse	diverse	ADJ
fumecheng-10469	378	5	porosity	porosity	NOUN
fumecheng-10469	378	6	distribution	distribution	NOUN
fumecheng-10469	378	7	together	together	ADV
fumecheng-10469	378	8	with	with	ADP
fumecheng-10469	378	9	the	the	DET
fumecheng-10469	378	10	porosity	porosity	NOUN
fumecheng-10469	378	11	coefficient	coefficient	NOUN
fumecheng-10469	378	12	as	as	ADV
fumecheng-10469	378	13	well	well	ADV
fumecheng-10469	378	14	as	as	ADP
fumecheng-10469	378	15	length	length	NOUN
fumecheng-10469	378	16	to	to	ADP
fumecheng-10469	378	17	thickness	thickness	NOUN
fumecheng-10469	378	18	ratio	ratio	NOUN
fumecheng-10469	378	19	is	be	AUX
fumecheng-10469	378	20	presented	present	VERB
fumecheng-10469	378	21	in	in	ADP
fumecheng-10469	378	22	fig	fig	NOUN
fumecheng-10469	378	23	.	.	PUNCT
fumecheng-10469	379	1	8	8	NUM
fumecheng-10469	379	2	.	.	X
fumecheng-10469	380	1	in	in	ADP
fumecheng-10469	380	2	the	the	DET
fumecheng-10469	380	3	present	present	ADJ
fumecheng-10469	380	4	study	study	NOUN
fumecheng-10469	380	5	,	,	PUNCT
fumecheng-10469	380	6	homogeneous	homogeneous	ADJ
fumecheng-10469	380	7	sandwich	sandwich	NOUN
fumecheng-10469	380	8	nanobeam	nanobeam	NOUN
fumecheng-10469	380	9	is	be	AUX
fumecheng-10469	380	10	subjected	subject	VERB
fumecheng-10469	380	11	to	to	ADP
fumecheng-10469	380	12	compressive	compressive	VERB
fumecheng-10469	380	13	mechanical	mechanical	ADJ
fumecheng-10469	380	14	forces	force	NOUN
fumecheng-10469	380	15	ˆ	ˆ	ADJ
fumecheng-10469	380	16	xxn	xxn	PROPN
fumecheng-10469	380	17	=	=	SYM
fumecheng-10469	380	18	15	15	NUM
fumecheng-10469	380	19	n	n	CCONJ
fumecheng-10469	380	20	,	,	PUNCT
fumecheng-10469	380	21	and	and	CCONJ
fumecheng-10469	380	22	nonlocal	nonlocal	ADJ
fumecheng-10469	380	23	parameters	parameter	NOUN
fumecheng-10469	380	24	are	be	AUX
fumecheng-10469	380	25	assumed	assume	VERB
fumecheng-10469	380	26	ℬ	ℬ	PROPN
fumecheng-10469	380	27	=	=	SYM
fumecheng-10469	380	28	1	1	NUM
fumecheng-10469	380	29	nm2	nm2	NOUN
fumecheng-10469	380	30	and	and	CCONJ
fumecheng-10469	381	1	ℓ	ℓ	X
fumecheng-10469	381	2	=	=	SYM
fumecheng-10469	381	3	4	4	NUM
fumecheng-10469	381	4	nm	nm	NOUN
fumecheng-10469	381	5	.	.	PUNCT
fumecheng-10469	382	1	diverse	diverse	ADJ
fumecheng-10469	382	2	porosity	porosity	NOUN
fumecheng-10469	382	3	types	type	NOUN
fumecheng-10469	382	4	are	be	AUX
fumecheng-10469	382	5	characterized	characterize	VERB
fumecheng-10469	382	6	by	by	ADP
fumecheng-10469	382	7	different	different	ADJ
fumecheng-10469	382	8	voids	voids	NOUN
fumecheng-10469	382	9	accumulation	accumulation	NOUN
fumecheng-10469	382	10	through	through	ADP
fumecheng-10469	382	11	the	the	DET
fumecheng-10469	382	12	thickness	thickness	NOUN
fumecheng-10469	382	13	of	of	ADP
fumecheng-10469	382	14	nanobeam	nanobeam	NOUN
fumecheng-10469	382	15	core	core	NOUN
fumecheng-10469	382	16	.	.	PUNCT
fumecheng-10469	383	1	therefore	therefore	ADV
fumecheng-10469	383	2	,	,	PUNCT
fumecheng-10469	383	3	they	they	PRON
fumecheng-10469	383	4	have	have	VERB
fumecheng-10469	383	5	a	a	DET
fumecheng-10469	383	6	diverse	diverse	ADJ
fumecheng-10469	383	7	impact	impact	NOUN
fumecheng-10469	383	8	on	on	ADP
fumecheng-10469	383	9	resultant	resultant	NOUN
fumecheng-10469	383	10	stiffness	stiffness	NOUN
fumecheng-10469	383	11	and	and	CCONJ
fumecheng-10469	383	12	density	density	NOUN
fumecheng-10469	383	13	coefficients	coefficient	NOUN
fumecheng-10469	383	14	,	,	PUNCT
fumecheng-10469	383	15	and	and	CCONJ
fumecheng-10469	383	16	consequently	consequently	ADV
fumecheng-10469	383	17	,	,	PUNCT
fumecheng-10469	383	18	on	on	ADP
fumecheng-10469	383	19	the	the	DET
fumecheng-10469	383	20	nonlocal	nonlocal	ADJ
fumecheng-10469	383	21	interaction	interaction	NOUN
fumecheng-10469	383	22	range	range	NOUN
fumecheng-10469	383	23	parameter	parameter	NOUN
fumecheng-10469	383	24	.	.	PUNCT
fumecheng-10469	384	1	increasing	increase	VERB
fumecheng-10469	384	2	volume	volume	NOUN
fumecheng-10469	384	3	of	of	ADP
fumecheng-10469	384	4	voids	voids	NOUN
fumecheng-10469	384	5	has	have	VERB
fumecheng-10469	384	6	a	a	DET
fumecheng-10469	384	7	significant	significant	ADJ
fumecheng-10469	384	8	impact	impact	NOUN
fumecheng-10469	384	9	on	on	ADP
fumecheng-10469	384	10	the	the	DET
fumecheng-10469	384	11	nonlocal	nonlocal	ADJ
fumecheng-10469	384	12	interaction	interaction	NOUN
fumecheng-10469	384	13	range	range	NOUN
fumecheng-10469	384	14	parameter	parameter	NOUN
fumecheng-10469	384	15	for	for	ADP
fumecheng-10469	384	16	higher	high	ADJ
fumecheng-10469	384	17	values	value	NOUN
fumecheng-10469	384	18	of	of	ADP
fumecheng-10469	384	19	length	length	NOUN
fumecheng-10469	384	20	to	to	ADP
fumecheng-10469	384	21	thickness	thickness	NOUN
fumecheng-10469	384	22	ratios	ratio	NOUN
fumecheng-10469	384	23	.	.	PUNCT
fumecheng-10469	385	1	weakness	weakness	NOUN
fumecheng-10469	385	2	of	of	ADP
fumecheng-10469	385	3	the	the	DET
fumecheng-10469	385	4	structure	structure	NOUN
fumecheng-10469	385	5	caused	cause	VERB
fumecheng-10469	385	6	by	by	ADP
fumecheng-10469	385	7	porosity	porosity	NOUN
fumecheng-10469	385	8	becomes	become	VERB
fumecheng-10469	385	9	important	important	ADJ
fumecheng-10469	385	10	for	for	ADP
fumecheng-10469	385	11	structures	structure	NOUN
fumecheng-10469	385	12	with	with	ADP
fumecheng-10469	385	13	a	a	DET
fumecheng-10469	385	14	high	high	ADJ
fumecheng-10469	385	15	aspect	aspect	NOUN
fumecheng-10469	385	16	ratio	ratio	NOUN
fumecheng-10469	385	17	when	when	SCONJ
fumecheng-10469	385	18	the	the	DET
fumecheng-10469	385	19	applied	apply	VERB
fumecheng-10469	385	20	force	force	NOUN
fumecheng-10469	385	21	is	be	AUX
fumecheng-10469	385	22	near	near	ADP
fumecheng-10469	385	23	the	the	DET
fumecheng-10469	385	24	critical	critical	ADJ
fumecheng-10469	385	25	value	value	NOUN
fumecheng-10469	385	26	.	.	PUNCT
fumecheng-10469	386	1	therefore	therefore	ADV
fumecheng-10469	386	2	,	,	PUNCT
fumecheng-10469	386	3	regardless	regardless	ADV
fumecheng-10469	386	4	of	of	ADP
fumecheng-10469	386	5	whether	whether	SCONJ
fumecheng-10469	386	6	the	the	DET
fumecheng-10469	386	7	nanostructure	nanostructure	ADJ
fumecheng-10469	386	8	stiffness	stiffness	NOUN
fumecheng-10469	386	9	is	be	AUX
fumecheng-10469	386	10	influenced	influence	VERB
fumecheng-10469	386	11	by	by	ADP
fumecheng-10469	386	12	material	material	NOUN
fumecheng-10469	386	13	gradation	gradation	NOUN
fumecheng-10469	386	14	or	or	CCONJ
fumecheng-10469	386	15	porosity	porosity	NOUN
fumecheng-10469	386	16	,	,	PUNCT
fumecheng-10469	386	17	the	the	DET
fumecheng-10469	386	18	used	use	VERB
fumecheng-10469	386	19	size	size	NOUN
fumecheng-10469	386	20	-	-	PUNCT
fumecheng-10469	386	21	dependent	dependent	ADJ
fumecheng-10469	386	22	coefficients	coefficient	NOUN
fumecheng-10469	386	23	have	have	VERB
fumecheng-10469	386	24	a	a	DET
fumecheng-10469	386	25	bigger	big	ADJ
fumecheng-10469	386	26	impact	impact	NOUN
fumecheng-10469	386	27	on	on	ADP
fumecheng-10469	386	28	non	non	ADJ
fumecheng-10469	386	29	-	-	ADJ
fumecheng-10469	386	30	homogeneous	homogeneous	ADJ
fumecheng-10469	386	31	structures	structure	NOUN
fumecheng-10469	386	32	.	.	PUNCT
fumecheng-10469	387	1	thus	thus	ADV
fumecheng-10469	387	2	,	,	PUNCT
fumecheng-10469	387	3	proper	proper	ADJ
fumecheng-10469	387	4	detection	detection	NOUN
fumecheng-10469	387	5	of	of	ADP
fumecheng-10469	387	6	nonlocal	nonlocal	ADJ
fumecheng-10469	387	7	parameters	parameter	NOUN
fumecheng-10469	387	8	is	be	AUX
fumecheng-10469	387	9	a	a	DET
fumecheng-10469	387	10	significant	significant	ADJ
fumecheng-10469	387	11	issue	issue	NOUN
fumecheng-10469	387	12	,	,	PUNCT
fumecheng-10469	387	13	especially	especially	ADV
fumecheng-10469	387	14	for	for	ADP
fumecheng-10469	387	15	heterogeneous	heterogeneous	ADJ
fumecheng-10469	387	16	structures	structure	NOUN
fumecheng-10469	387	17	.	.	PUNCT
fumecheng-10469	388	1	fig	fig	NOUN
fumecheng-10469	388	2	.	.	PUNCT
fumecheng-10469	389	1	8	8	NUM
fumecheng-10469	389	2	influence	influence	NOUN
fumecheng-10469	389	3	of	of	ADP
fumecheng-10469	389	4	diverse	diverse	ADJ
fumecheng-10469	389	5	porosity	porosity	NOUN
fumecheng-10469	389	6	distributions	distribution	NOUN
fumecheng-10469	389	7	,	,	PUNCT
fumecheng-10469	389	8	volume	volume	NOUN
fumecheng-10469	389	9	of	of	ADP
fumecheng-10469	389	10	voids	voids	NOUN
fumecheng-10469	389	11	and	and	CCONJ
fumecheng-10469	389	12	length	length	NOUN
fumecheng-10469	389	13	to	to	ADP
fumecheng-10469	389	14	thickness	thickness	NOUN
fumecheng-10469	389	15	ratio	ratio	NOUN
fumecheng-10469	389	16	on	on	ADP
fumecheng-10469	389	17	the	the	DET
fumecheng-10469	389	18	nonlocal	nonlocal	ADJ
fumecheng-10469	389	19	interaction	interaction	NOUN
fumecheng-10469	389	20	range	range	NOUN
fumecheng-10469	389	21	parameter	parameter	NOUN
fumecheng-10469	389	22	6.2	6.2	NUM
fumecheng-10469	389	23	.	.	PUNCT
fumecheng-10469	390	1	detection	detection	NOUN
fumecheng-10469	390	2	of	of	ADP
fumecheng-10469	390	3	nonlocal	nonlocal	ADJ
fumecheng-10469	390	4	parameters	parameter	NOUN
fumecheng-10469	390	5	in	in	ADP
fumecheng-10469	390	6	the	the	DET
fumecheng-10469	390	7	current	current	ADJ
fumecheng-10469	390	8	section	section	NOUN
fumecheng-10469	390	9	,	,	PUNCT
fumecheng-10469	390	10	the	the	DET
fumecheng-10469	390	11	detected	detect	VERB
fumecheng-10469	390	12	values	value	NOUN
fumecheng-10469	390	13	on	on	ADP
fumecheng-10469	390	14	nonlocal	nonlocal	ADJ
fumecheng-10469	390	15	parameters	parameter	NOUN
fumecheng-10469	390	16	are	be	AUX
fumecheng-10469	390	17	presented	present	VERB
fumecheng-10469	390	18	with	with	ADP
fumecheng-10469	390	19	superscripted	superscripted	ADJ
fumecheng-10469	390	20	*	*	PUNCT
fumecheng-10469	390	21	.	.	PUNCT
fumecheng-10469	391	1	first	first	ADV
fumecheng-10469	391	2	of	of	ADP
fumecheng-10469	391	3	all	all	PRON
fumecheng-10469	391	4	,	,	PUNCT
fumecheng-10469	391	5	figure	figure	VERB
fumecheng-10469	391	6	9	9	NUM
fumecheng-10469	391	7	presents	present	NOUN
fumecheng-10469	391	8	predicted	predict	VERB
fumecheng-10469	391	9	both	both	DET
fumecheng-10469	391	10	eringen	eringen	PROPN
fumecheng-10469	391	11	’s	’s	PART
fumecheng-10469	391	12	nonlocal	nonlocal	ADJ
fumecheng-10469	391	13	coefficient	coefficient	NOUN
fumecheng-10469	391	14	and	and	CCONJ
fumecheng-10469	391	15	the	the	DET
fumecheng-10469	391	16	length	length	NOUN
fumecheng-10469	391	17	scale	scale	NOUN
fumecheng-10469	391	18	parameter	parameter	NOUN
fumecheng-10469	391	19	for	for	ADP
fumecheng-10469	391	20	homogeneous	homogeneous	ADJ
fumecheng-10469	391	21	and	and	CCONJ
fumecheng-10469	391	22	functionally	functionally	ADV
fumecheng-10469	391	23	graded	grade	VERB
fumecheng-10469	391	24	nanobeam	nanobeam	NOUN
fumecheng-10469	391	25	.	.	PUNCT
fumecheng-10469	392	1	the	the	DET
fumecheng-10469	392	2	detection	detection	NOUN
fumecheng-10469	392	3	of	of	ADP
fumecheng-10469	392	4	nonlocal	nonlocal	ADJ
fumecheng-10469	392	5	calibration	calibration	NOUN
fumecheng-10469	392	6	parameters	parameter	NOUN
fumecheng-10469	392	7	and	and	CCONJ
fumecheng-10469	392	8	range	range	NOUN
fumecheng-10469	392	9	interaction	interaction	NOUN
fumecheng-10469	392	10	for	for	ADP
fumecheng-10469	392	11	dynamics	dynamic	NOUN
fumecheng-10469	392	12	of	of	ADP
fumecheng-10469	392	13	fgm	fgm	PROPN
fumecheng-10469	392	14	porous	porous	ADJ
fumecheng-10469	392	15	…	…	NUM
fumecheng-10469	392	16	473	473	NUM
fumecheng-10469	392	17	figure	figure	NOUN
fumecheng-10469	392	18	shows	show	VERB
fumecheng-10469	392	19	the	the	DET
fumecheng-10469	392	20	dependence	dependence	NOUN
fumecheng-10469	392	21	of	of	ADP
fumecheng-10469	392	22	small	small	ADJ
fumecheng-10469	392	23	-	-	PUNCT
fumecheng-10469	392	24	scale	scale	NOUN
fumecheng-10469	392	25	coefficients	coefficient	NOUN
fumecheng-10469	392	26	on	on	ADP
fumecheng-10469	392	27	assumed	assumed	ADJ
fumecheng-10469	392	28	nanostructure	nanostructure	PROPN
fumecheng-10469	392	29	’s	’s	PART
fumecheng-10469	392	30	eigenfrequencies	eigenfrequencie	NOUN
fumecheng-10469	392	31	.	.	PUNCT
fumecheng-10469	393	1	it	it	PRON
fumecheng-10469	393	2	may	may	AUX
fumecheng-10469	393	3	be	be	AUX
fumecheng-10469	393	4	observed	observe	VERB
fumecheng-10469	393	5	that	that	SCONJ
fumecheng-10469	393	6	increasing	increase	VERB
fumecheng-10469	393	7	frequencies	frequency	NOUN
fumecheng-10469	393	8	relate	relate	VERB
fumecheng-10469	393	9	to	to	ADP
fumecheng-10469	393	10	decreasing	decrease	VERB
fumecheng-10469	393	11	eringen	eringen	PROPN
fumecheng-10469	393	12	’s	’s	PART
fumecheng-10469	393	13	nonlocal	nonlocal	ADJ
fumecheng-10469	393	14	constant	constant	ADJ
fumecheng-10469	393	15	.	.	PUNCT
fumecheng-10469	394	1	it	it	PRON
fumecheng-10469	394	2	agrees	agree	VERB
fumecheng-10469	394	3	with	with	ADP
fumecheng-10469	394	4	the	the	DET
fumecheng-10469	394	5	theory	theory	NOUN
fumecheng-10469	394	6	assumptions	assumption	NOUN
fumecheng-10469	394	7	because	because	SCONJ
fumecheng-10469	394	8	the	the	DET
fumecheng-10469	394	9	parameter	parameter	NOUN
fumecheng-10469	394	10	is	be	AUX
fumecheng-10469	394	11	involved	involve	VERB
fumecheng-10469	394	12	in	in	ADP
fumecheng-10469	394	13	stiffness	stiffness	NOUN
fumecheng-10469	394	14	softening	soften	VERB
fumecheng-10469	394	15	phenomenon	phenomenon	NOUN
fumecheng-10469	394	16	.	.	PUNCT
fumecheng-10469	395	1	so	so	ADV
fumecheng-10469	395	2	,	,	PUNCT
fumecheng-10469	395	3	the	the	DET
fumecheng-10469	395	4	lower	low	ADJ
fumecheng-10469	395	5	predicted	predict	VERB
fumecheng-10469	395	6	frequencies	frequency	NOUN
fumecheng-10469	395	7	are	be	AUX
fumecheng-10469	395	8	,	,	PUNCT
fumecheng-10469	395	9	the	the	DET
fumecheng-10469	395	10	higher	high	ADJ
fumecheng-10469	395	11	nonlocal	nonlocal	ADJ
fumecheng-10469	395	12	coefficient	coefficient	NOUN
fumecheng-10469	395	13	is	be	AUX
fumecheng-10469	395	14	needed	need	VERB
fumecheng-10469	395	15	,	,	PUNCT
fumecheng-10469	395	16	because	because	SCONJ
fumecheng-10469	395	17	assuming	assume	VERB
fumecheng-10469	395	18	constant	constant	ADJ
fumecheng-10469	395	19	other	other	ADJ
fumecheng-10469	395	20	parameters	parameter	NOUN
fumecheng-10469	395	21	,	,	PUNCT
fumecheng-10469	395	22	the	the	DET
fumecheng-10469	395	23	structure	structure	NOUN
fumecheng-10469	395	24	must	must	AUX
fumecheng-10469	395	25	be	be	AUX
fumecheng-10469	395	26	softer	soft	ADJ
fumecheng-10469	395	27	.	.	PUNCT
fumecheng-10469	396	1	on	on	ADP
fumecheng-10469	396	2	the	the	DET
fumecheng-10469	396	3	other	other	ADJ
fumecheng-10469	396	4	hand	hand	NOUN
fumecheng-10469	396	5	,	,	PUNCT
fumecheng-10469	396	6	increasing	increase	VERB
fumecheng-10469	396	7	length	length	NOUN
fumecheng-10469	396	8	scale	scale	NOUN
fumecheng-10469	396	9	parameter	parameter	NOUN
fumecheng-10469	396	10	causing	cause	VERB
fumecheng-10469	396	11	stiffness	stiffness	ADJ
fumecheng-10469	396	12	hardening	harden	VERB
fumecheng-10469	396	13	phenomenon	phenomenon	NOUN
fumecheng-10469	396	14	,	,	PUNCT
fumecheng-10469	396	15	affects	affect	VERB
fumecheng-10469	396	16	on	on	ADP
fumecheng-10469	396	17	increasing	increase	VERB
fumecheng-10469	396	18	size	size	NOUN
fumecheng-10469	396	19	-	-	PUNCT
fumecheng-10469	396	20	dependent	dependent	ADJ
fumecheng-10469	396	21	parameter	parameter	NOUN
fumecheng-10469	396	22	of	of	ADP
fumecheng-10469	396	23	eringen	eringen	PROPN
fumecheng-10469	396	24	.	.	PUNCT
fumecheng-10469	397	1	in	in	ADP
fumecheng-10469	397	2	contrast	contrast	NOUN
fumecheng-10469	397	3	,	,	PUNCT
fumecheng-10469	397	4	increasing	increase	VERB
fumecheng-10469	397	5	fundamental	fundamental	ADJ
fumecheng-10469	397	6	frequency	frequency	NOUN
fumecheng-10469	397	7	values	value	NOUN
fumecheng-10469	397	8	causes	cause	VERB
fumecheng-10469	397	9	increasing	increase	VERB
fumecheng-10469	397	10	in	in	ADP
fumecheng-10469	397	11	predicted	predict	VERB
fumecheng-10469	397	12	length	length	NOUN
fumecheng-10469	397	13	scale	scale	NOUN
fumecheng-10469	397	14	coefficient	coefficient	NOUN
fumecheng-10469	397	15	.	.	PUNCT
fumecheng-10469	398	1	higher	high	ADJ
fumecheng-10469	398	2	frequencies	frequency	NOUN
fumecheng-10469	398	3	are	be	AUX
fumecheng-10469	398	4	related	relate	VERB
fumecheng-10469	398	5	to	to	PART
fumecheng-10469	398	6	stiffer	stiffer	VERB
fumecheng-10469	398	7	construction	construction	NOUN
fumecheng-10469	398	8	(	(	PUNCT
fumecheng-10469	398	9	assuming	assume	VERB
fumecheng-10469	398	10	constant	constant	ADJ
fumecheng-10469	398	11	mass	mass	NOUN
fumecheng-10469	398	12	)	)	PUNCT
fumecheng-10469	398	13	therefore	therefore	ADV
fumecheng-10469	398	14	higher	high	ADJ
fumecheng-10469	398	15	length	length	NOUN
fumecheng-10469	398	16	scale	scale	NOUN
fumecheng-10469	398	17	coefficient	coefficient	NOUN
fumecheng-10469	398	18	is	be	AUX
fumecheng-10469	398	19	required	require	VERB
fumecheng-10469	398	20	.	.	PUNCT
fumecheng-10469	399	1	likewise	likewise	ADV
fumecheng-10469	399	2	,	,	PUNCT
fumecheng-10469	399	3	increasing	increase	VERB
fumecheng-10469	399	4	eringen	eringen	PROPN
fumecheng-10469	399	5	’s	’s	PART
fumecheng-10469	399	6	nonlocal	nonlocal	ADJ
fumecheng-10469	399	7	parameter	parameter	NOUN
fumecheng-10469	399	8	increases	increase	VERB
fumecheng-10469	399	9	stiffness	stiffness	ADJ
fumecheng-10469	399	10	softening	soften	VERB
fumecheng-10469	399	11	effect	effect	NOUN
fumecheng-10469	399	12	,	,	PUNCT
fumecheng-10469	399	13	so	so	ADV
fumecheng-10469	399	14	length	length	NOUN
fumecheng-10469	399	15	scale	scale	NOUN
fumecheng-10469	399	16	parameter	parameter	NOUN
fumecheng-10469	399	17	values	value	NOUN
fumecheng-10469	399	18	are	be	AUX
fumecheng-10469	399	19	greater	great	ADJ
fumecheng-10469	399	20	.	.	PUNCT
fumecheng-10469	400	1	a	a	DET
fumecheng-10469	400	2	)	)	PUNCT
fumecheng-10469	400	3	b	b	NOUN
fumecheng-10469	400	4	)	)	PUNCT
fumecheng-10469	400	5	fig	fig	NOUN
fumecheng-10469	400	6	.	.	PUNCT
fumecheng-10469	401	1	9	9	NUM
fumecheng-10469	401	2	detection	detection	NOUN
fumecheng-10469	401	3	of	of	ADP
fumecheng-10469	401	4	nonlocal	nonlocal	ADJ
fumecheng-10469	401	5	parameters	parameter	NOUN
fumecheng-10469	401	6	for	for	ADP
fumecheng-10469	401	7	expected	expect	VERB
fumecheng-10469	401	8	fundamental	fundamental	ADJ
fumecheng-10469	401	9	frequencies	frequency	NOUN
fumecheng-10469	401	10	:	:	PUNCT
fumecheng-10469	401	11	a	a	X
fumecheng-10469	401	12	)	)	PUNCT
fumecheng-10469	401	13	eringen	eringen	PROPN
fumecheng-10469	401	14	’s	’s	PART
fumecheng-10469	401	15	nonlocal	nonlocal	ADJ
fumecheng-10469	401	16	coefficient	coefficient	NOUN
fumecheng-10469	401	17	for	for	ADP
fumecheng-10469	401	18	homogeneous	homogeneous	ADJ
fumecheng-10469	401	19	nanobeam	nanobeam	NOUN
fumecheng-10469	401	20	core	core	NOUN
fumecheng-10469	401	21	;	;	PUNCT
fumecheng-10469	401	22	b	b	X
fumecheng-10469	401	23	)	)	PUNCT
fumecheng-10469	401	24	length	length	NOUN
fumecheng-10469	401	25	scale	scale	NOUN
fumecheng-10469	401	26	parameter	parameter	NOUN
fumecheng-10469	401	27	for	for	ADP
fumecheng-10469	401	28	fgm	fgm	PROPN
fumecheng-10469	401	29	(	(	PUNCT
fumecheng-10469	401	30	g	g	NOUN
fumecheng-10469	401	31	=	=	SYM
fumecheng-10469	401	32	2	2	NUM
fumecheng-10469	401	33	)	)	PUNCT
fumecheng-10469	401	34	core	core	NOUN
fumecheng-10469	401	35	474	474	NUM
fumecheng-10469	401	36	p.	p.	NOUN
fumecheng-10469	401	37	jankowski	jankowski	PROPN
fumecheng-10469	401	38	next	next	ADV
fumecheng-10469	401	39	,	,	PUNCT
fumecheng-10469	401	40	relationship	relationship	NOUN
fumecheng-10469	401	41	between	between	ADP
fumecheng-10469	401	42	nonlocal	nonlocal	ADJ
fumecheng-10469	401	43	parameters	parameter	NOUN
fumecheng-10469	401	44	and	and	CCONJ
fumecheng-10469	401	45	electro	electro	ADJ
fumecheng-10469	401	46	-	-	PUNCT
fumecheng-10469	401	47	mechanical	mechanical	ADJ
fumecheng-10469	401	48	forces	force	NOUN
fumecheng-10469	401	49	is	be	AUX
fumecheng-10469	401	50	presented	present	VERB
fumecheng-10469	401	51	in	in	ADP
fumecheng-10469	401	52	figure	figure	NOUN
fumecheng-10469	401	53	10	10	NUM
fumecheng-10469	401	54	.	.	PUNCT
fumecheng-10469	402	1	in	in	ADP
fumecheng-10469	402	2	the	the	DET
fumecheng-10469	402	3	study	study	NOUN
fumecheng-10469	402	4	,	,	PUNCT
fumecheng-10469	402	5	we	we	PRON
fumecheng-10469	402	6	assumed	assume	VERB
fumecheng-10469	402	7	ψ	ψ	X
fumecheng-10469	402	8	=	=	SYM
fumecheng-10469	402	9	4/3	4/3	NUM
fumecheng-10469	402	10	nm	nm	NOUN
fumecheng-10469	402	11	and	and	CCONJ
fumecheng-10469	402	12	expected	expect	VERB
fumecheng-10469	402	13	fundamental	fundamental	ADJ
fumecheng-10469	402	14	frequency	frequency	NOUN
fumecheng-10469	402	15	as	as	ADP
fumecheng-10469	402	16	ω1	ω1	PROPN
fumecheng-10469	402	17	=	=	SYM
fumecheng-10469	402	18	21.4	21.4	NUM
fumecheng-10469	402	19	ghz	ghz	NOUN
fumecheng-10469	402	20	for	for	ADP
fumecheng-10469	402	21	homogeneous	homogeneous	ADJ
fumecheng-10469	402	22	nanobeam	nanobeam	NOUN
fumecheng-10469	402	23	.	.	PUNCT
fumecheng-10469	403	1	the	the	DET
fumecheng-10469	403	2	structure	structure	NOUN
fumecheng-10469	403	3	is	be	AUX
fumecheng-10469	403	4	complexly	complexly	ADJ
fumecheng-10469	403	5	loaded	load	VERB
fumecheng-10469	403	6	,	,	PUNCT
fumecheng-10469	403	7	so	so	SCONJ
fumecheng-10469	403	8	there	there	PRON
fumecheng-10469	403	9	are	be	VERB
fumecheng-10469	403	10	initial	initial	ADJ
fumecheng-10469	403	11	gradients	gradient	NOUN
fumecheng-10469	403	12	of	of	ADP
fumecheng-10469	403	13	stress	stress	NOUN
fumecheng-10469	403	14	and	and	CCONJ
fumecheng-10469	403	15	strains	strain	NOUN
fumecheng-10469	403	16	.	.	PUNCT
fumecheng-10469	404	1	increasing	increase	VERB
fumecheng-10469	404	2	values	value	NOUN
fumecheng-10469	404	3	of	of	ADP
fumecheng-10469	404	4	mechanical	mechanical	ADJ
fumecheng-10469	404	5	forces	force	NOUN
fumecheng-10469	404	6	together	together	ADV
fumecheng-10469	404	7	with	with	ADP
fumecheng-10469	404	8	positive	positive	ADJ
fumecheng-10469	404	9	values	value	NOUN
fumecheng-10469	404	10	of	of	ADP
fumecheng-10469	404	11	external	external	ADJ
fumecheng-10469	404	12	voltage	voltage	NOUN
fumecheng-10469	404	13	results	result	NOUN
fumecheng-10469	404	14	in	in	ADP
fumecheng-10469	404	15	compression	compression	NOUN
fumecheng-10469	404	16	of	of	ADP
fumecheng-10469	404	17	the	the	DET
fumecheng-10469	404	18	nanostructure	nanostructure	NOUN
fumecheng-10469	404	19	.	.	PUNCT
fumecheng-10469	405	1	on	on	ADP
fumecheng-10469	405	2	the	the	DET
fumecheng-10469	405	3	other	other	ADJ
fumecheng-10469	405	4	hand	hand	NOUN
fumecheng-10469	405	5	,	,	PUNCT
fumecheng-10469	405	6	negative	negative	ADJ
fumecheng-10469	405	7	values	value	NOUN
fumecheng-10469	405	8	of	of	ADP
fumecheng-10469	405	9	applied	apply	VERB
fumecheng-10469	405	10	voltage	voltage	NOUN
fumecheng-10469	405	11	refer	refer	NOUN
fumecheng-10469	405	12	to	to	ADP
fumecheng-10469	405	13	tension	tension	NOUN
fumecheng-10469	405	14	of	of	ADP
fumecheng-10469	405	15	the	the	DET
fumecheng-10469	405	16	structure	structure	NOUN
fumecheng-10469	405	17	.	.	PUNCT
fumecheng-10469	406	1	compression	compression	NOUN
fumecheng-10469	406	2	/	/	SYM
fumecheng-10469	406	3	tension	tension	NOUN
fumecheng-10469	406	4	of	of	ADP
fumecheng-10469	406	5	the	the	DET
fumecheng-10469	406	6	structure	structure	NOUN
fumecheng-10469	406	7	results	result	VERB
fumecheng-10469	406	8	in	in	ADP
fumecheng-10469	406	9	its	its	PRON
fumecheng-10469	406	10	stiffness	stiffness	ADJ
fumecheng-10469	406	11	decrement	decrement	ADJ
fumecheng-10469	406	12	/	/	SYM
fumecheng-10469	406	13	increment	increment	NOUN
fumecheng-10469	406	14	.	.	PUNCT
fumecheng-10469	407	1	increasing	increase	VERB
fumecheng-10469	407	2	values	value	NOUN
fumecheng-10469	407	3	of	of	ADP
fumecheng-10469	407	4	nonlocal	nonlocal	ADJ
fumecheng-10469	407	5	parameters	parameter	NOUN
fumecheng-10469	407	6	involves	involve	VERB
fumecheng-10469	407	7	a	a	DET
fumecheng-10469	407	8	higher	high	ADJ
fumecheng-10469	407	9	stiffness	stiffness	NOUN
fumecheng-10469	407	10	hardening	harden	VERB
fumecheng-10469	407	11	effect	effect	NOUN
fumecheng-10469	407	12	due	due	ADP
fumecheng-10469	407	13	to	to	ADP
fumecheng-10469	407	14	assumed	assume	VERB
fumecheng-10469	407	15	ratio	ratio	NOUN
fumecheng-10469	407	16	of	of	ADP
fumecheng-10469	407	17	nonlocal	nonlocal	ADJ
fumecheng-10469	407	18	to	to	ADP
fumecheng-10469	407	19	length	length	NOUN
fumecheng-10469	407	20	scale	scale	NOUN
fumecheng-10469	407	21	coefficients	coefficient	NOUN
fumecheng-10469	407	22	.	.	PUNCT
fumecheng-10469	408	1	therefore	therefore	ADV
fumecheng-10469	408	2	,	,	PUNCT
fumecheng-10469	408	3	increasing	increase	VERB
fumecheng-10469	408	4	applied	applied	ADJ
fumecheng-10469	408	5	forces	force	NOUN
fumecheng-10469	408	6	,	,	PUNCT
fumecheng-10469	408	7	with	with	ADP
fumecheng-10469	408	8	constant	constant	ADJ
fumecheng-10469	408	9	predicted	predict	VERB
fumecheng-10469	408	10	nanobeam	nanobeam	NOUN
fumecheng-10469	408	11	frequency	frequency	NOUN
fumecheng-10469	408	12	,	,	PUNCT
fumecheng-10469	408	13	requires	require	VERB
fumecheng-10469	408	14	stiffness	stiffness	ADJ
fumecheng-10469	408	15	enhancement	enhancement	NOUN
fumecheng-10469	408	16	effect	effect	NOUN
fumecheng-10469	408	17	from	from	ADP
fumecheng-10469	408	18	nonlocal	nonlocal	ADJ
fumecheng-10469	408	19	coefficients	coefficient	NOUN
fumecheng-10469	408	20	.	.	PUNCT
fumecheng-10469	409	1	being	be	AUX
fumecheng-10469	409	2	knowledgeable	knowledgeable	ADJ
fumecheng-10469	409	3	about	about	ADP
fumecheng-10469	409	4	environment	environment	NOUN
fumecheng-10469	409	5	acting	act	VERB
fumecheng-10469	409	6	in	in	ADP
fumecheng-10469	409	7	nems	nem	NOUN
fumecheng-10469	409	8	device	device	NOUN
fumecheng-10469	409	9	,	,	PUNCT
fumecheng-10469	409	10	for	for	ADP
fumecheng-10469	409	11	example	example	NOUN
fumecheng-10469	409	12	,	,	PUNCT
fumecheng-10469	409	13	applied	apply	VERB
fumecheng-10469	409	14	loads	load	NOUN
fumecheng-10469	409	15	and	and	CCONJ
fumecheng-10469	409	16	operation	operation	NOUN
fumecheng-10469	409	17	’s	’s	PART
fumecheng-10469	409	18	frequency	frequency	NOUN
fumecheng-10469	409	19	,	,	PUNCT
fumecheng-10469	409	20	this	this	DET
fumecheng-10469	409	21	solution	solution	NOUN
fumecheng-10469	409	22	gives	give	VERB
fumecheng-10469	409	23	a	a	DET
fumecheng-10469	409	24	possibility	possibility	NOUN
fumecheng-10469	409	25	to	to	PART
fumecheng-10469	409	26	estimate	estimate	VERB
fumecheng-10469	409	27	/	/	SYM
fumecheng-10469	409	28	detect	detect	NOUN
fumecheng-10469	409	29	nanostructure	nanostructure	ADJ
fumecheng-10469	409	30	nonlocal	nonlocal	ADJ
fumecheng-10469	409	31	coefficients	coefficient	NOUN
fumecheng-10469	409	32	.	.	PUNCT
fumecheng-10469	410	1	fig	fig	NOUN
fumecheng-10469	410	2	.	.	PUNCT
fumecheng-10469	411	1	10	10	NUM
fumecheng-10469	411	2	detection	detection	NOUN
fumecheng-10469	411	3	of	of	ADP
fumecheng-10469	411	4	nonlocal	nonlocal	ADJ
fumecheng-10469	411	5	parameters	parameter	NOUN
fumecheng-10469	411	6	for	for	ADP
fumecheng-10469	411	7	expected	expect	VERB
fumecheng-10469	411	8	applied	apply	VERB
fumecheng-10469	411	9	loads	load	NOUN
fumecheng-10469	411	10	figure	figure	VERB
fumecheng-10469	411	11	11	11	NUM
fumecheng-10469	411	12	represents	represent	VERB
fumecheng-10469	411	13	a	a	DET
fumecheng-10469	411	14	nonlocal	nonlocal	ADJ
fumecheng-10469	411	15	parameters	parameter	NOUN
fumecheng-10469	411	16	detection	detection	NOUN
fumecheng-10469	411	17	in	in	ADP
fumecheng-10469	411	18	view	view	NOUN
fumecheng-10469	411	19	of	of	ADP
fumecheng-10469	411	20	porosity	porosity	NOUN
fumecheng-10469	411	21	distributions	distribution	NOUN
fumecheng-10469	411	22	and	and	CCONJ
fumecheng-10469	411	23	volume	volume	NOUN
fumecheng-10469	411	24	of	of	ADP
fumecheng-10469	411	25	voids	voids	NOUN
fumecheng-10469	411	26	.	.	PUNCT
fumecheng-10469	412	1	it	it	PRON
fumecheng-10469	412	2	is	be	AUX
fumecheng-10469	412	3	assumed	assume	VERB
fumecheng-10469	412	4	homogeneous	homogeneous	ADJ
fumecheng-10469	412	5	nanobeam	nanobeam	NOUN
fumecheng-10469	412	6	core	core	NOUN
fumecheng-10469	412	7	,	,	PUNCT
fumecheng-10469	412	8	nonlocal	nonlocal	ADJ
fumecheng-10469	412	9	coefficients	coefficient	NOUN
fumecheng-10469	412	10	ratio	ratio	NOUN
fumecheng-10469	412	11	as	as	ADP
fumecheng-10469	412	12	ψ	ψ	NOUN
fumecheng-10469	412	13	=	=	SYM
fumecheng-10469	412	14	1.5	1.5	NUM
fumecheng-10469	412	15	nm	nm	NOUN
fumecheng-10469	412	16	,	,	PUNCT
fumecheng-10469	412	17	and	and	CCONJ
fumecheng-10469	412	18	fundamental	fundamental	ADJ
fumecheng-10469	412	19	frequency	frequency	NOUN
fumecheng-10469	412	20	ω1	ω1	PROPN
fumecheng-10469	412	21	=	=	SYM
fumecheng-10469	412	22	24.65	24.65	NUM
fumecheng-10469	412	23	ghz	ghz	NOUN
fumecheng-10469	412	24	.	.	PUNCT
fumecheng-10469	413	1	increasing	increase	VERB
fumecheng-10469	413	2	volume	volume	NOUN
fumecheng-10469	413	3	of	of	ADP
fumecheng-10469	413	4	voids	voids	NOUN
fumecheng-10469	413	5	decreases	decrease	VERB
fumecheng-10469	413	6	nanostructure	nanostructure	NOUN
fumecheng-10469	413	7	stiffness	stiffness	NOUN
fumecheng-10469	413	8	and	and	CCONJ
fumecheng-10469	413	9	influences	influence	NOUN
fumecheng-10469	413	10	nanobeams	nanobeam	NOUN
fumecheng-10469	413	11	mass	mass	PROPN
fumecheng-10469	413	12	.	.	PUNCT
fumecheng-10469	414	1	nonetheless	nonetheless	ADV
fumecheng-10469	414	2	,	,	PUNCT
fumecheng-10469	414	3	diverse	diverse	ADJ
fumecheng-10469	414	4	distribution	distribution	NOUN
fumecheng-10469	414	5	affects	affect	VERB
fumecheng-10469	414	6	stiffness	stiffness	NOUN
fumecheng-10469	414	7	and	and	CCONJ
fumecheng-10469	414	8	mass	mass	NOUN
fumecheng-10469	414	9	in	in	ADP
fumecheng-10469	414	10	diverse	diverse	ADJ
fumecheng-10469	414	11	ways	way	NOUN
fumecheng-10469	414	12	.	.	PUNCT
fumecheng-10469	415	1	type	type	NOUN
fumecheng-10469	415	2	1	1	NUM
fumecheng-10469	415	3	and	and	CCONJ
fumecheng-10469	415	4	2	2	NUM
fumecheng-10469	415	5	are	be	AUX
fumecheng-10469	415	6	characterized	characterize	VERB
fumecheng-10469	415	7	with	with	ADP
fumecheng-10469	415	8	non	non	ADJ
fumecheng-10469	415	9	-	-	ADJ
fumecheng-10469	415	10	porous	porous	ADJ
fumecheng-10469	415	11	bottom	bottom	NOUN
fumecheng-10469	415	12	and	and	CCONJ
fumecheng-10469	415	13	lower	low	ADJ
fumecheng-10469	415	14	surfaces	surface	NOUN
fumecheng-10469	415	15	,	,	PUNCT
fumecheng-10469	415	16	while	while	SCONJ
fumecheng-10469	415	17	type	type	NOUN
fumecheng-10469	415	18	3	3	NUM
fumecheng-10469	415	19	porosity	porosity	NOUN
fumecheng-10469	415	20	distribution	distribution	NOUN
fumecheng-10469	415	21	at	at	ADP
fumecheng-10469	415	22	these	these	DET
fumecheng-10469	415	23	points	point	NOUN
fumecheng-10469	415	24	is	be	AUX
fumecheng-10469	415	25	described	describe	VERB
fumecheng-10469	415	26	with	with	ADP
fumecheng-10469	415	27	a	a	DET
fumecheng-10469	415	28	maximum	maximum	ADJ
fumecheng-10469	415	29	volume	volume	NOUN
fumecheng-10469	415	30	of	of	ADP
fumecheng-10469	415	31	porosity	porosity	NOUN
fumecheng-10469	415	32	.	.	PUNCT
fumecheng-10469	416	1	therefore	therefore	ADV
fumecheng-10469	416	2	,	,	PUNCT
fumecheng-10469	416	3	diverse	diverse	ADJ
fumecheng-10469	416	4	effect	effect	NOUN
fumecheng-10469	416	5	on	on	ADP
fumecheng-10469	416	6	stiffness	stiffness	NOUN
fumecheng-10469	416	7	to	to	ADP
fumecheng-10469	416	8	mass	mass	NOUN
fumecheng-10469	416	9	ratios	ratio	NOUN
fumecheng-10469	416	10	obtained	obtain	VERB
fumecheng-10469	416	11	from	from	ADP
fumecheng-10469	416	12	diverse	diverse	ADJ
fumecheng-10469	416	13	porosity	porosity	NOUN
fumecheng-10469	416	14	distribution	distribution	NOUN
fumecheng-10469	416	15	is	be	AUX
fumecheng-10469	416	16	connected	connect	VERB
fumecheng-10469	416	17	with	with	ADP
fumecheng-10469	416	18	diverse	diverse	ADJ
fumecheng-10469	416	19	nano	nano	NOUN
fumecheng-10469	416	20	-	-	PUNCT
fumecheng-10469	416	21	scale	scale	NOUN
fumecheng-10469	416	22	effects	effect	NOUN
fumecheng-10469	416	23	from	from	ADP
fumecheng-10469	416	24	nonlocal	nonlocal	ADJ
fumecheng-10469	416	25	coefficients	coefficient	NOUN
fumecheng-10469	416	26	.	.	PUNCT
fumecheng-10469	417	1	detection	detection	NOUN
fumecheng-10469	417	2	of	of	ADP
fumecheng-10469	417	3	nonlocal	nonlocal	ADJ
fumecheng-10469	417	4	calibration	calibration	NOUN
fumecheng-10469	417	5	parameters	parameter	NOUN
fumecheng-10469	417	6	and	and	CCONJ
fumecheng-10469	417	7	range	range	NOUN
fumecheng-10469	417	8	interaction	interaction	NOUN
fumecheng-10469	417	9	for	for	ADP
fumecheng-10469	417	10	dynamics	dynamic	NOUN
fumecheng-10469	417	11	of	of	ADP
fumecheng-10469	417	12	fgm	fgm	PROPN
fumecheng-10469	417	13	porous	porous	ADJ
fumecheng-10469	417	14	…	…	PUNCT
fumecheng-10469	417	15	475	475	NUM
fumecheng-10469	417	16	fig	fig	NOUN
fumecheng-10469	417	17	.	.	PUNCT
fumecheng-10469	418	1	11	11	NUM
fumecheng-10469	418	2	detection	detection	NOUN
fumecheng-10469	418	3	of	of	ADP
fumecheng-10469	418	4	nonlocal	nonlocal	ADJ
fumecheng-10469	418	5	parameters	parameter	NOUN
fumecheng-10469	418	6	for	for	ADP
fumecheng-10469	418	7	different	different	ADJ
fumecheng-10469	418	8	porosity	porosity	NOUN
fumecheng-10469	418	9	distributions	distribution	NOUN
fumecheng-10469	418	10	and	and	CCONJ
fumecheng-10469	418	11	volume	volume	NOUN
fumecheng-10469	418	12	of	of	ADP
fumecheng-10469	418	13	voids	void	NOUN
fumecheng-10469	418	14	7	7	NUM
fumecheng-10469	418	15	.	.	PUNCT
fumecheng-10469	418	16	concluding	conclude	VERB
fumecheng-10469	418	17	remarks	remark	VERB
fumecheng-10469	418	18	the	the	DET
fumecheng-10469	418	19	current	current	ADJ
fumecheng-10469	418	20	study	study	NOUN
fumecheng-10469	418	21	gives	give	VERB
fumecheng-10469	418	22	a	a	DET
fumecheng-10469	418	23	different	different	ADJ
fumecheng-10469	418	24	perspective	perspective	NOUN
fumecheng-10469	418	25	to	to	ADP
fumecheng-10469	418	26	higher	high	ADJ
fumecheng-10469	418	27	-	-	PUNCT
fumecheng-10469	418	28	order	order	NOUN
fumecheng-10469	418	29	nonlocal	nonlocal	ADJ
fumecheng-10469	418	30	strain	strain	NOUN
fumecheng-10469	418	31	gradient	gradient	NOUN
fumecheng-10469	418	32	theory	theory	NOUN
fumecheng-10469	418	33	.	.	PUNCT
fumecheng-10469	419	1	the	the	DET
fumecheng-10469	419	2	approach	approach	NOUN
fumecheng-10469	419	3	enables	enable	VERB
fumecheng-10469	419	4	an	an	DET
fumecheng-10469	419	5	analysis	analysis	NOUN
fumecheng-10469	419	6	of	of	ADP
fumecheng-10469	419	7	differences	difference	NOUN
fumecheng-10469	419	8	in	in	ADP
fumecheng-10469	419	9	obtained	obtain	VERB
fumecheng-10469	419	10	results	result	NOUN
fumecheng-10469	419	11	from	from	ADP
fumecheng-10469	419	12	classical	classical	ADJ
fumecheng-10469	419	13	and	and	CCONJ
fumecheng-10469	419	14	nonlocal	nonlocal	ADJ
fumecheng-10469	419	15	theories	theory	NOUN
fumecheng-10469	419	16	for	for	ADP
fumecheng-10469	419	17	dynamic	dynamic	ADJ
fumecheng-10469	419	18	response	response	NOUN
fumecheng-10469	419	19	of	of	ADP
fumecheng-10469	419	20	sandwich	sandwich	NOUN
fumecheng-10469	419	21	piezoelectric	piezoelectric	NOUN
fumecheng-10469	419	22	nanobeam	nanobeam	NOUN
fumecheng-10469	419	23	under	under	ADP
fumecheng-10469	419	24	complex	complex	ADJ
fumecheng-10469	419	25	loads	load	NOUN
fumecheng-10469	419	26	.	.	PUNCT
fumecheng-10469	420	1	the	the	DET
fumecheng-10469	420	2	model	model	NOUN
fumecheng-10469	420	3	represents	represent	VERB
fumecheng-10469	420	4	a	a	DET
fumecheng-10469	420	5	three	three	NUM
fumecheng-10469	420	6	-	-	PUNCT
fumecheng-10469	420	7	layered	layer	VERB
fumecheng-10469	420	8	fgm	fgm	PROPN
fumecheng-10469	420	9	porous	porous	ADJ
fumecheng-10469	420	10	beam	beam	NOUN
fumecheng-10469	420	11	-	-	PUNCT
fumecheng-10469	420	12	based	base	VERB
fumecheng-10469	420	13	nanoactuator	nanoactuator	NOUN
fumecheng-10469	420	14	subjected	subject	VERB
fumecheng-10469	420	15	to	to	ADP
fumecheng-10469	420	16	external	external	ADJ
fumecheng-10469	420	17	mechanical	mechanical	ADJ
fumecheng-10469	420	18	and	and	CCONJ
fumecheng-10469	420	19	electrical	electrical	ADJ
fumecheng-10469	420	20	loads	load	NOUN
fumecheng-10469	420	21	.	.	PUNCT
fumecheng-10469	421	1	functionally	functionally	ADV
fumecheng-10469	421	2	graded	grade	VERB
fumecheng-10469	421	3	material	material	NOUN
fumecheng-10469	421	4	properties	property	NOUN
fumecheng-10469	421	5	along	along	ADP
fumecheng-10469	421	6	with	with	ADP
fumecheng-10469	421	7	diverse	diverse	ADJ
fumecheng-10469	421	8	porosity	porosity	NOUN
fumecheng-10469	421	9	accumulation	accumulation	NOUN
fumecheng-10469	421	10	types	type	NOUN
fumecheng-10469	421	11	are	be	AUX
fumecheng-10469	421	12	obtained	obtain	VERB
fumecheng-10469	421	13	based	base	VERB
fumecheng-10469	421	14	on	on	ADP
fumecheng-10469	421	15	the	the	DET
fumecheng-10469	421	16	power	power	NOUN
fumecheng-10469	421	17	-	-	PUNCT
fumecheng-10469	421	18	law	law	NOUN
fumecheng-10469	421	19	distribution	distribution	NOUN
fumecheng-10469	421	20	.	.	PUNCT
fumecheng-10469	422	1	the	the	DET
fumecheng-10469	422	2	contribution	contribution	NOUN
fumecheng-10469	422	3	of	of	ADP
fumecheng-10469	422	4	an	an	DET
fumecheng-10469	422	5	electric	electric	ADJ
fumecheng-10469	422	6	field	field	NOUN
fumecheng-10469	422	7	is	be	AUX
fumecheng-10469	422	8	represented	represent	VERB
fumecheng-10469	422	9	by	by	ADP
fumecheng-10469	422	10	a	a	DET
fumecheng-10469	422	11	combination	combination	NOUN
fumecheng-10469	422	12	of	of	ADP
fumecheng-10469	422	13	halfcosine	halfcosine	NOUN
fumecheng-10469	422	14	and	and	CCONJ
fumecheng-10469	422	15	linear	linear	ADJ
fumecheng-10469	422	16	variation	variation	NOUN
fumecheng-10469	422	17	of	of	ADP
fumecheng-10469	422	18	the	the	DET
fumecheng-10469	422	19	electric	electric	ADJ
fumecheng-10469	422	20	potential	potential	NOUN
fumecheng-10469	422	21	.	.	PUNCT
fumecheng-10469	423	1	utilized	utilize	VERB
fumecheng-10469	423	2	equations	equation	NOUN
fumecheng-10469	423	3	of	of	ADP
fumecheng-10469	423	4	motion	motion	NOUN
fumecheng-10469	423	5	obtained	obtain	VERB
fumecheng-10469	423	6	based	base	VERB
fumecheng-10469	423	7	on	on	ADP
fumecheng-10469	423	8	hamilton	hamilton	PROPN
fumecheng-10469	423	9	’s	’s	PART
fumecheng-10469	423	10	principle	principle	NOUN
fumecheng-10469	423	11	and	and	CCONJ
fumecheng-10469	423	12	the	the	DET
fumecheng-10469	423	13	nonlocal	nonlocal	ADJ
fumecheng-10469	423	14	strain	strain	NOUN
fumecheng-10469	423	15	gradient	gradient	NOUN
fumecheng-10469	423	16	theory	theory	NOUN
fumecheng-10469	423	17	,	,	PUNCT
fumecheng-10469	423	18	include	include	VERB
fumecheng-10469	423	19	eringen	eringen	PROPN
fumecheng-10469	423	20	’s	’s	PART
fumecheng-10469	423	21	nonlocal	nonlocal	ADJ
fumecheng-10469	423	22	coefficient	coefficient	NOUN
fumecheng-10469	423	23	and	and	CCONJ
fumecheng-10469	423	24	the	the	DET
fumecheng-10469	423	25	length	length	NOUN
fumecheng-10469	423	26	scale	scale	NOUN
fumecheng-10469	423	27	parameter	parameter	NOUN
fumecheng-10469	423	28	to	to	PART
fumecheng-10469	423	29	investigate	investigate	VERB
fumecheng-10469	423	30	both	both	DET
fumecheng-10469	423	31	size	size	NOUN
fumecheng-10469	423	32	-	-	PUNCT
fumecheng-10469	423	33	dependent	dependent	ADJ
fumecheng-10469	423	34	phenomena	phenomena	NOUN
fumecheng-10469	423	35	from	from	ADP
fumecheng-10469	423	36	a	a	DET
fumecheng-10469	423	37	single	single	ADJ
fumecheng-10469	423	38	point	point	NOUN
fumecheng-10469	423	39	of	of	ADP
fumecheng-10469	423	40	view	view	NOUN
fumecheng-10469	423	41	.	.	PUNCT
fumecheng-10469	424	1	the	the	DET
fumecheng-10469	424	2	displacement	displacement	ADJ
fumecheng-10469	424	3	field	field	NOUN
fumecheng-10469	424	4	is	be	AUX
fumecheng-10469	424	5	obtained	obtain	VERB
fumecheng-10469	424	6	based	base	VERB
fumecheng-10469	424	7	on	on	ADP
fumecheng-10469	424	8	reddy	reddy	PROPN
fumecheng-10469	424	9	third	third	ADJ
fumecheng-10469	424	10	-	-	PUNCT
fumecheng-10469	424	11	order	order	NOUN
fumecheng-10469	424	12	shear	shear	NOUN
fumecheng-10469	424	13	deformation	deformation	NOUN
fumecheng-10469	424	14	theory	theory	NOUN
fumecheng-10469	424	15	that	that	PRON
fumecheng-10469	424	16	does	do	AUX
fumecheng-10469	424	17	not	not	PART
fumecheng-10469	424	18	require	require	VERB
fumecheng-10469	424	19	shear	shear	ADJ
fumecheng-10469	424	20	correction	correction	NOUN
fumecheng-10469	424	21	factor	factor	NOUN
fumecheng-10469	424	22	,	,	PUNCT
fumecheng-10469	424	23	then	then	ADV
fumecheng-10469	424	24	it	it	PRON
fumecheng-10469	424	25	may	may	AUX
fumecheng-10469	424	26	be	be	AUX
fumecheng-10469	424	27	used	use	VERB
fumecheng-10469	424	28	for	for	ADP
fumecheng-10469	424	29	a	a	DET
fumecheng-10469	424	30	wide	wide	ADJ
fumecheng-10469	424	31	range	range	NOUN
fumecheng-10469	424	32	of	of	ADP
fumecheng-10469	424	33	structures	structure	NOUN
fumecheng-10469	424	34	.	.	PUNCT
fumecheng-10469	425	1	the	the	DET
fumecheng-10469	425	2	results	result	NOUN
fumecheng-10469	425	3	and	and	CCONJ
fumecheng-10469	425	4	discussion	discussion	NOUN
fumecheng-10469	425	5	show	show	VERB
fumecheng-10469	425	6	effect	effect	NOUN
fumecheng-10469	425	7	of	of	ADP
fumecheng-10469	425	8	nonlocal	nonlocal	ADJ
fumecheng-10469	425	9	parameters	parameter	NOUN
fumecheng-10469	425	10	in	in	ADP
fumecheng-10469	425	11	conjunction	conjunction	NOUN
fumecheng-10469	425	12	with	with	ADP
fumecheng-10469	425	13	diverse	diverse	ADJ
fumecheng-10469	425	14	length	length	NOUN
fumecheng-10469	425	15	to	to	ADP
fumecheng-10469	425	16	thickness	thickness	NOUN
fumecheng-10469	425	17	ratio	ratio	NOUN
fumecheng-10469	425	18	,	,	PUNCT
fumecheng-10469	425	19	external	external	ADJ
fumecheng-10469	425	20	loads	load	NOUN
fumecheng-10469	425	21	,	,	PUNCT
fumecheng-10469	425	22	and	and	CCONJ
fumecheng-10469	425	23	material	material	NOUN
fumecheng-10469	425	24	properties	property	NOUN
fumecheng-10469	425	25	on	on	ADP
fumecheng-10469	425	26	a	a	DET
fumecheng-10469	425	27	free	free	ADJ
fumecheng-10469	425	28	vibration	vibration	NOUN
fumecheng-10469	425	29	response	response	NOUN
fumecheng-10469	425	30	of	of	ADP
fumecheng-10469	425	31	intelligent	intelligent	ADJ
fumecheng-10469	425	32	nanobeam	nanobeam	NOUN
fumecheng-10469	425	33	.	.	PUNCT
fumecheng-10469	426	1	defined	define	VERB
fumecheng-10469	426	2	the	the	DET
fumecheng-10469	426	3	nonlocal	nonlocal	ADJ
fumecheng-10469	426	4	interaction	interaction	NOUN
fumecheng-10469	426	5	range	range	NOUN
fumecheng-10469	426	6	parameter	parameter	NOUN
fumecheng-10469	426	7	clearly	clearly	ADV
fumecheng-10469	426	8	demonstrates	demonstrate	VERB
fumecheng-10469	426	9	that	that	SCONJ
fumecheng-10469	426	10	smallscale	smallscale	ADJ
fumecheng-10469	426	11	coefficients	coefficient	NOUN
fumecheng-10469	426	12	are	be	AUX
fumecheng-10469	426	13	dependent	dependent	ADJ
fumecheng-10469	426	14	on	on	ADP
fumecheng-10469	426	15	geometrical	geometrical	ADJ
fumecheng-10469	426	16	properties	property	NOUN
fumecheng-10469	426	17	of	of	ADP
fumecheng-10469	426	18	the	the	DET
fumecheng-10469	426	19	structure	structure	NOUN
fumecheng-10469	426	20	,	,	PUNCT
fumecheng-10469	426	21	its	its	PRON
fumecheng-10469	426	22	material	material	NOUN
fumecheng-10469	426	23	properties	property	NOUN
fumecheng-10469	426	24	,	,	PUNCT
fumecheng-10469	426	25	and	and	CCONJ
fumecheng-10469	426	26	applied	applied	ADJ
fumecheng-10469	426	27	loads	load	NOUN
fumecheng-10469	426	28	.	.	PUNCT
fumecheng-10469	427	1	therefore	therefore	ADV
fumecheng-10469	427	2	,	,	PUNCT
fumecheng-10469	427	3	employing	employ	VERB
fumecheng-10469	427	4	nonlocal	nonlocal	ADJ
fumecheng-10469	427	5	theories	theory	NOUN
fumecheng-10469	427	6	is	be	AUX
fumecheng-10469	427	7	necessary	necessary	ADJ
fumecheng-10469	427	8	for	for	ADP
fumecheng-10469	427	9	modelling	modelling	NOUN
fumecheng-10469	427	10	of	of	ADP
fumecheng-10469	427	11	nanostructure	nanostructure	NOUN
fumecheng-10469	427	12	-	-	PUNCT
fumecheng-10469	427	13	based	base	VERB
fumecheng-10469	427	14	ultra	ultra	ADJ
fumecheng-10469	427	15	-	-	ADJ
fumecheng-10469	427	16	small	small	ADJ
fumecheng-10469	427	17	devices	device	NOUN
fumecheng-10469	427	18	.	.	PUNCT
fumecheng-10469	428	1	what	what	PRON
fumecheng-10469	428	2	is	be	AUX
fumecheng-10469	428	3	more	more	ADJ
fumecheng-10469	428	4	,	,	PUNCT
fumecheng-10469	428	5	the	the	DET
fumecheng-10469	428	6	presented	present	VERB
fumecheng-10469	428	7	multiparameter	multiparameter	NOUN
fumecheng-10469	428	8	solution	solution	NOUN
fumecheng-10469	428	9	gives	give	VERB
fumecheng-10469	428	10	a	a	DET
fumecheng-10469	428	11	possibility	possibility	NOUN
fumecheng-10469	428	12	to	to	PART
fumecheng-10469	428	13	estimate	estimate	VERB
fumecheng-10469	428	14	/	/	SYM
fumecheng-10469	428	15	detect	detect	VERB
fumecheng-10469	428	16	nonlocal	nonlocal	ADJ
fumecheng-10469	428	17	parameters	parameter	NOUN
fumecheng-10469	428	18	for	for	ADP
fumecheng-10469	428	19	nanobeams	nanobeam	NOUN
fumecheng-10469	428	20	based	base	VERB
fumecheng-10469	428	21	on	on	ADP
fumecheng-10469	428	22	assumed	assume	VERB
fumecheng-10469	428	23	/	/	SYM
fumecheng-10469	428	24	predicted	predict	VERB
fumecheng-10469	428	25	natural	natural	ADJ
fumecheng-10469	428	26	frequencies	frequency	NOUN
fumecheng-10469	428	27	,	,	PUNCT
fumecheng-10469	428	28	material	material	NOUN
fumecheng-10469	428	29	properties	property	NOUN
fumecheng-10469	428	30	,	,	PUNCT
fumecheng-10469	428	31	and	and	CCONJ
fumecheng-10469	428	32	applied	applied	ADJ
fumecheng-10469	428	33	loads	load	NOUN
fumecheng-10469	428	34	.	.	PUNCT
fumecheng-10469	429	1	therefore	therefore	ADV
fumecheng-10469	429	2	,	,	PUNCT
fumecheng-10469	429	3	the	the	DET
fumecheng-10469	429	4	conducted	conducted	ADJ
fumecheng-10469	429	5	investigation	investigation	NOUN
fumecheng-10469	429	6	,	,	PUNCT
fumecheng-10469	429	7	due	due	ADP
fumecheng-10469	429	8	to	to	ADP
fumecheng-10469	429	9	a	a	DET
fumecheng-10469	429	10	widening	widen	VERB
fumecheng-10469	429	11	understanding	understanding	NOUN
fumecheng-10469	429	12	of	of	ADP
fumecheng-10469	429	13	nonlocal	nonlocal	ADJ
fumecheng-10469	429	14	effects	effect	NOUN
fumecheng-10469	429	15	,	,	PUNCT
fumecheng-10469	429	16	may	may	AUX
fumecheng-10469	429	17	be	be	AUX
fumecheng-10469	429	18	an	an	DET
fumecheng-10469	429	19	important	important	ADJ
fumecheng-10469	429	20	tool	tool	NOUN
fumecheng-10469	429	21	in	in	ADP
fumecheng-10469	429	22	modelling	modelling	NOUN
fumecheng-10469	429	23	,	,	PUNCT
fumecheng-10469	429	24	optimization	optimization	NOUN
fumecheng-10469	429	25	,	,	PUNCT
fumecheng-10469	429	26	and	and	CCONJ
fumecheng-10469	429	27	control	control	NOUN
fumecheng-10469	429	28	of	of	ADP
fumecheng-10469	429	29	nems	nems	PROPN
fumecheng-10469	429	30	devices	device	NOUN
fumecheng-10469	429	31	.	.	PUNCT
fumecheng-10469	430	1	476	476	NUM
fumecheng-10469	430	2	p.	p.	NOUN
fumecheng-10469	430	3	jankowski	jankowski	PROPN
fumecheng-10469	430	4	acknowledgement	acknowledgement	NOUN
fumecheng-10469	430	5	:	:	PUNCT
fumecheng-10469	430	6	the	the	DET
fumecheng-10469	430	7	paper	paper	NOUN
fumecheng-10469	430	8	has	have	AUX
fumecheng-10469	430	9	been	be	AUX
fumecheng-10469	430	10	conducted	conduct	VERB
fumecheng-10469	430	11	within	within	ADP
fumecheng-10469	430	12	wz	wz	PROPN
fumecheng-10469	430	13	/	/	SYM
fumecheng-10469	430	14	wm	wm	PROPN
fumecheng-10469	430	15	-	-	PUNCT
fumecheng-10469	430	16	iim/3/2020	iim/3/2020	NOUN
fumecheng-10469	430	17	project	project	NOUN
fumecheng-10469	430	18	and	and	CCONJ
fumecheng-10469	430	19	was	be	AUX
fumecheng-10469	430	20	financed	finance	VERB
fumecheng-10469	430	21	by	by	ADP
fumecheng-10469	430	22	the	the	DET
fumecheng-10469	430	23	funds	fund	NOUN
fumecheng-10469	430	24	of	of	ADP
fumecheng-10469	430	25	the	the	DET
fumecheng-10469	430	26	ministry	ministry	PROPN
fumecheng-10469	430	27	of	of	ADP
fumecheng-10469	430	28	science	science	PROPN
fumecheng-10469	430	29	and	and	CCONJ
fumecheng-10469	430	30	higher	high	ADJ
fumecheng-10469	430	31	education	education	NOUN
fumecheng-10469	430	32	,	,	PUNCT
fumecheng-10469	430	33	poland	poland	PROPN
fumecheng-10469	430	34	.	.	PUNCT
fumecheng-10469	431	1	references	reference	NOUN
fumecheng-10469	431	2	1	1	NUM
fumecheng-10469	431	3	.	.	PUNCT
fumecheng-10469	432	1	rieth	rieth	PROPN
fumecheng-10469	432	2	,	,	PUNCT
fumecheng-10469	432	3	m.	m.	NOUN
fumecheng-10469	432	4	,	,	PUNCT
fumecheng-10469	432	5	schommers	schommer	NOUN
fumecheng-10469	432	6	,	,	PUNCT
fumecheng-10469	432	7	w.	w.	PROPN
fumecheng-10469	432	8	(	(	PUNCT
fumecheng-10469	432	9	ed	ed	NOUN
fumecheng-10469	432	10	.	.	PUNCT
fumecheng-10469	432	11	)	)	PUNCT
fumecheng-10469	432	12	,	,	PUNCT
fumecheng-10469	432	13	2005	2005	NUM
fumecheng-10469	432	14	,	,	PUNCT
fumecheng-10469	432	15	handbook	handbook	NOUN
fumecheng-10469	432	16	of	of	ADP
fumecheng-10469	432	17	theoretical	theoretical	ADJ
fumecheng-10469	432	18	and	and	CCONJ
fumecheng-10469	432	19	computational	computational	ADJ
fumecheng-10469	432	20	nanotechnology	nanotechnology	NOUN
fumecheng-10469	432	21	,	,	PUNCT
fumecheng-10469	432	22	american	american	ADJ
fumecheng-10469	432	23	scientific	scientific	ADJ
fumecheng-10469	432	24	publishers	publisher	NOUN
fumecheng-10469	432	25	,	,	PUNCT
fumecheng-10469	432	26	usa	usa	PROPN
fumecheng-10469	432	27	.	.	PROPN
fumecheng-10469	432	28	2	2	NUM
fumecheng-10469	432	29	.	.	X
fumecheng-10469	433	1	koochi	koochi	PROPN
fumecheng-10469	433	2	,	,	PUNCT
fumecheng-10469	433	3	a.	a.	NOUN
fumecheng-10469	433	4	,	,	PUNCT
fumecheng-10469	433	5	abadyan	abadyan	PROPN
fumecheng-10469	433	6	,	,	PUNCT
fumecheng-10469	433	7	m.	m.	NOUN
fumecheng-10469	433	8	,	,	PUNCT
fumecheng-10469	433	9	2020	2020	NUM
fumecheng-10469	433	10	,	,	PUNCT
fumecheng-10469	433	11	nonlinear	nonlinear	ADJ
fumecheng-10469	433	12	differential	differential	ADJ
fumecheng-10469	433	13	equations	equation	NOUN
fumecheng-10469	433	14	in	in	ADP
fumecheng-10469	433	15	micro	micro	NOUN
fumecheng-10469	433	16	/	/	SYM
fumecheng-10469	433	17	nano	nano	NOUN
fumecheng-10469	433	18	mechanics	mechanic	NOUN
fumecheng-10469	433	19	,	,	PUNCT
fumecheng-10469	433	20	elsevier	elsevier	NOUN
fumecheng-10469	433	21	,	,	PUNCT
fumecheng-10469	433	22	netherlands	netherlands	PROPN
fumecheng-10469	433	23	.	.	PUNCT
fumecheng-10469	434	1	3	3	X
fumecheng-10469	434	2	.	.	X
fumecheng-10469	434	3	maurya	maurya	PROPN
fumecheng-10469	434	4	,	,	PUNCT
fumecheng-10469	434	5	d.	d.	PROPN
fumecheng-10469	434	6	,	,	PUNCT
fumecheng-10469	434	7	pramanick	pramanick	PROPN
fumecheng-10469	434	8	,	,	PUNCT
fumecheng-10469	434	9	a.	a.	NOUN
fumecheng-10469	434	10	,	,	PUNCT
fumecheng-10469	434	11	viehland	viehland	PROPN
fumecheng-10469	434	12	,	,	PUNCT
fumecheng-10469	434	13	d.	d.	PROPN
fumecheng-10469	434	14	(	(	PUNCT
fumecheng-10469	434	15	ed	ed	NOUN
fumecheng-10469	434	16	.	.	PUNCT
fumecheng-10469	434	17	)	)	PUNCT
fumecheng-10469	434	18	,	,	PUNCT
fumecheng-10469	434	19	2020	2020	NUM
fumecheng-10469	434	20	,	,	PUNCT
fumecheng-10469	434	21	ferroelectric	ferroelectric	ADJ
fumecheng-10469	434	22	materials	material	NOUN
fumecheng-10469	434	23	for	for	ADP
fumecheng-10469	434	24	energy	energy	NOUN
fumecheng-10469	434	25	harvesting	harvesting	NOUN
fumecheng-10469	434	26	and	and	CCONJ
fumecheng-10469	434	27	storage	storage	NOUN
fumecheng-10469	434	28	,	,	PUNCT
fumecheng-10469	434	29	elsevier	elsevier	NOUN
fumecheng-10469	434	30	,	,	PUNCT
fumecheng-10469	434	31	netherlands	netherlands	PROPN
fumecheng-10469	434	32	.	.	PUNCT
fumecheng-10469	435	1	4	4	X
fumecheng-10469	435	2	.	.	X
fumecheng-10469	435	3	kamilla	kamilla	PROPN
fumecheng-10469	435	4	,	,	PUNCT
fumecheng-10469	435	5	s.k	s.k	PROPN
fumecheng-10469	435	6	.	.	PROPN
fumecheng-10469	435	7	,	,	PUNCT
fumecheng-10469	435	8	ojha	ojha	PROPN
fumecheng-10469	435	9	,	,	PUNCT
fumecheng-10469	435	10	m.	m.	NOUN
fumecheng-10469	435	11	,	,	PUNCT
fumecheng-10469	435	12	2021	2021	NUM
fumecheng-10469	435	13	,	,	PUNCT
fumecheng-10469	435	14	review	review	NOUN
fumecheng-10469	435	15	on	on	ADP
fumecheng-10469	435	16	nano	nano	NOUN
fumecheng-10469	435	17	-	-	PUNCT
fumecheng-10469	435	18	electro	electro	ADJ
fumecheng-10469	435	19	-	-	PUNCT
fumecheng-10469	435	20	mechanical	mechanical	ADJ
fumecheng-10469	435	21	system	system	NOUN
fumecheng-10469	435	22	devices	device	NOUN
fumecheng-10469	435	23	,	,	PUNCT
fumecheng-10469	435	24	materials	material	NOUN
fumecheng-10469	435	25	today	today	NOUN
fumecheng-10469	435	26	:	:	PUNCT
fumecheng-10469	435	27	proceedings	proceeding	NOUN
fumecheng-10469	435	28	,	,	PUNCT
fumecheng-10469	435	29	in	in	ADP
fumecheng-10469	435	30	press	press	NOUN
fumecheng-10469	435	31	,	,	PUNCT
fumecheng-10469	435	32	https://doi.org/10.1016/j.matpr.2021.02.801	https://doi.org/10.1016/j.matpr.2021.02.801	PROPN
fumecheng-10469	435	33	.	.	PUNCT
fumecheng-10469	436	1	5	5	NUM
fumecheng-10469	436	2	.	.	X
fumecheng-10469	436	3	lin	lin	PROPN
fumecheng-10469	436	4	,	,	PUNCT
fumecheng-10469	436	5	h.	h.	PROPN
fumecheng-10469	436	6	,	,	PUNCT
fumecheng-10469	436	7	zaeimbashi	zaeimbashi	PROPN
fumecheng-10469	436	8	,	,	PUNCT
fumecheng-10469	436	9	m.	m.	NOUN
fumecheng-10469	436	10	,	,	PUNCT
fumecheng-10469	436	11	sun	sun	NOUN
fumecheng-10469	436	12	,	,	PUNCT
fumecheng-10469	436	13	n.	n.	PROPN
fumecheng-10469	436	14	,	,	PUNCT
fumecheng-10469	436	15	liang	liang	PROPN
fumecheng-10469	436	16	,	,	PUNCT
fumecheng-10469	436	17	x	x	PROPN
fumecheng-10469	436	18	,	,	PUNCT
fumecheng-10469	436	19	chen	chen	PROPN
fumecheng-10469	436	20	,	,	PUNCT
fumecheng-10469	436	21	h.	h.	PROPN
fumecheng-10469	436	22	,	,	PUNCT
fumecheng-10469	436	23	dong	dong	PROPN
fumecheng-10469	436	24	,	,	PUNCT
fumecheng-10469	436	25	c.	c.	PROPN
fumecheng-10469	436	26	,	,	PUNCT
fumecheng-10469	436	27	matyushov	matyushov	PROPN
fumecheng-10469	436	28	,	,	PUNCT
fumecheng-10469	436	29	a.	a.	PROPN
fumecheng-10469	436	30	,	,	PUNCT
fumecheng-10469	436	31	wang	wang	PROPN
fumecheng-10469	436	32	,	,	PUNCT
fumecheng-10469	436	33	x.	x.	PROPN
fumecheng-10469	436	34	,	,	PUNCT
fumecheng-10469	436	35	guo	guo	PROPN
fumecheng-10469	436	36	,	,	PUNCT
fumecheng-10469	436	37	y.	y.	PROPN
fumecheng-10469	436	38	,	,	PUNCT
fumecheng-10469	436	39	sun	sun	PROPN
fumecheng-10469	436	40	,	,	PUNCT
fumecheng-10469	436	41	n.-x	n.-x	NOUN
fumecheng-10469	436	42	.	.	PROPN
fumecheng-10469	436	43	,	,	PUNCT
fumecheng-10469	436	44	2018	2018	NUM
fumecheng-10469	436	45	,	,	PUNCT
fumecheng-10469	436	46	nems	nems	PROPN
fumecheng-10469	436	47	magnetoelectric	magnetoelectric	PROPN
fumecheng-10469	436	48	antennas	antennas	PROPN
fumecheng-10469	436	49	for	for	ADP
fumecheng-10469	436	50	biomedical	biomedical	ADJ
fumecheng-10469	436	51	application	application	NOUN
fumecheng-10469	436	52	,	,	PUNCT
fumecheng-10469	436	53	proc	proc	NOUN
fumecheng-10469	436	54	.	.	PUNCT
fumecheng-10469	436	55	2018	2018	NUM
fumecheng-10469	436	56	ieee	ieee	PROPN
fumecheng-10469	436	57	international	international	ADJ
fumecheng-10469	436	58	microwave	microwave	PROPN
fumecheng-10469	436	59	biomedical	biomedical	PROPN
fumecheng-10469	436	60	conference	conference	NOUN
fumecheng-10469	436	61	(	(	PUNCT
fumecheng-10469	436	62	imbioc	imbioc	NOUN
fumecheng-10469	436	63	)	)	PUNCT
fumecheng-10469	436	64	.	.	PUNCT
fumecheng-10469	437	1	6	6	X
fumecheng-10469	437	2	.	.	X
fumecheng-10469	437	3	ilyas	ilyas	PROPN
fumecheng-10469	437	4	,	,	PUNCT
fumecheng-10469	437	5	s.	s.	PROPN
fumecheng-10469	437	6	,	,	PUNCT
fumecheng-10469	437	7	younis	younis	PROPN
fumecheng-10469	437	8	,	,	PUNCT
fumecheng-10469	437	9	m.i	m.i	PROPN
fumecheng-10469	437	10	.	.	PROPN
fumecheng-10469	437	11	,	,	PUNCT
fumecheng-10469	437	12	2020	2020	NUM
fumecheng-10469	437	13	,	,	PUNCT
fumecheng-10469	437	14	resonator	resonator	NOUN
fumecheng-10469	437	15	-	-	PUNCT
fumecheng-10469	437	16	based	base	VERB
fumecheng-10469	437	17	m	m	PROPN
fumecheng-10469	437	18	/	/	SYM
fumecheng-10469	437	19	nems	nems	PROPN
fumecheng-10469	437	20	logic	logic	NOUN
fumecheng-10469	437	21	devices	device	NOUN
fumecheng-10469	437	22	:	:	PUNCT
fumecheng-10469	437	23	review	review	NOUN
fumecheng-10469	437	24	of	of	ADP
fumecheng-10469	437	25	recent	recent	ADJ
fumecheng-10469	437	26	advances	advance	NOUN
fumecheng-10469	437	27	,	,	PUNCT
fumecheng-10469	437	28	sensors	sensor	NOUN
fumecheng-10469	437	29	and	and	CCONJ
fumecheng-10469	437	30	actuators	actuator	NOUN
fumecheng-10469	437	31	a	a	PRON
fumecheng-10469	437	32	:	:	PUNCT
fumecheng-10469	437	33	physical	physical	ADJ
fumecheng-10469	437	34	,	,	PUNCT
fumecheng-10469	437	35	302	302	NUM
fumecheng-10469	437	36	,	,	PUNCT
fumecheng-10469	437	37	111821	111821	NUM
fumecheng-10469	437	38	.	.	PUNCT
fumecheng-10469	438	1	7	7	X
fumecheng-10469	438	2	.	.	X
fumecheng-10469	438	3	khazaai	khazaai	PROPN
fumecheng-10469	438	4	,	,	PUNCT
fumecheng-10469	438	5	j.j	j.j	PROPN
fumecheng-10469	438	6	.	.	PROPN
fumecheng-10469	438	7	,	,	PUNCT
fumecheng-10469	438	8	qu	qu	PROPN
fumecheng-10469	438	9	,	,	PUNCT
fumecheng-10469	438	10	h.	h.	PROPN
fumecheng-10469	438	11	,	,	PUNCT
fumecheng-10469	438	12	2012	2012	NUM
fumecheng-10469	438	13	,	,	PUNCT
fumecheng-10469	438	14	electro	electro	ADJ
fumecheng-10469	438	15	-	-	PUNCT
fumecheng-10469	438	16	thermal	thermal	ADJ
fumecheng-10469	438	17	mems	mem	NOUN
fumecheng-10469	438	18	switch	switch	VERB
fumecheng-10469	438	19	with	with	ADP
fumecheng-10469	438	20	latching	latching	NOUN
fumecheng-10469	438	21	mechanism	mechanism	NOUN
fumecheng-10469	438	22	:	:	PUNCT
fumecheng-10469	438	23	design	design	NOUN
fumecheng-10469	438	24	and	and	CCONJ
fumecheng-10469	438	25	characterization	characterization	NOUN
fumecheng-10469	438	26	,	,	PUNCT
fumecheng-10469	438	27	ieee	ieee	NOUN
fumecheng-10469	438	28	sensors	sensor	NOUN
fumecheng-10469	438	29	journal	journal	PROPN
fumecheng-10469	438	30	,	,	PUNCT
fumecheng-10469	438	31	12(9	12(9	NUM
fumecheng-10469	438	32	)	)	PUNCT
fumecheng-10469	438	33	,	,	PUNCT
fumecheng-10469	438	34	pp	pp	PROPN
fumecheng-10469	438	35	.	.	PUNCT
fumecheng-10469	438	36	2830–2838	2830–2838	NUM
fumecheng-10469	438	37	.	.	PUNCT
fumecheng-10469	439	1	8	8	X
fumecheng-10469	439	2	.	.	X
fumecheng-10469	439	3	ghayesh	ghayesh	PROPN
fumecheng-10469	439	4	,	,	PUNCT
fumecheng-10469	439	5	m.h	m.h	PROPN
fumecheng-10469	439	6	.	.	PROPN
fumecheng-10469	439	7	,	,	PUNCT
fumecheng-10469	439	8	farajpour	farajpour	ADJ
fumecheng-10469	439	9	,	,	PUNCT
fumecheng-10469	439	10	a.	a.	NOUN
fumecheng-10469	439	11	,	,	PUNCT
fumecheng-10469	439	12	2019	2019	NUM
fumecheng-10469	439	13	,	,	PUNCT
fumecheng-10469	439	14	a	a	DET
fumecheng-10469	439	15	review	review	NOUN
fumecheng-10469	439	16	on	on	ADP
fumecheng-10469	439	17	the	the	DET
fumecheng-10469	439	18	mechanics	mechanic	NOUN
fumecheng-10469	439	19	of	of	ADP
fumecheng-10469	439	20	functionally	functionally	ADV
fumecheng-10469	439	21	graded	grade	VERB
fumecheng-10469	439	22	nanoscale	nanoscale	NOUN
fumecheng-10469	439	23	and	and	CCONJ
fumecheng-10469	439	24	microscale	microscale	ADJ
fumecheng-10469	439	25	structures	structure	NOUN
fumecheng-10469	439	26	,	,	PUNCT
fumecheng-10469	439	27	international	international	ADJ
fumecheng-10469	439	28	journal	journal	NOUN
fumecheng-10469	439	29	of	of	ADP
fumecheng-10469	439	30	engineering	engineering	NOUN
fumecheng-10469	439	31	science	science	NOUN
fumecheng-10469	439	32	,	,	PUNCT
fumecheng-10469	439	33	137	137	NUM
fumecheng-10469	439	34	,	,	PUNCT
fumecheng-10469	439	35	pp	pp	ADJ
fumecheng-10469	439	36	.	.	PUNCT
fumecheng-10469	440	1	8	8	NUM
fumecheng-10469	440	2	-	-	SYM
fumecheng-10469	440	3	36	36	NUM
fumecheng-10469	440	4	.	.	PUNCT
fumecheng-10469	440	5	9	9	NUM
fumecheng-10469	440	6	.	.	X
fumecheng-10469	440	7	daikh	daikh	NOUN
fumecheng-10469	440	8	,	,	PUNCT
fumecheng-10469	440	9	a.a	a.a	PROPN
fumecheng-10469	440	10	.	.	PROPN
fumecheng-10469	440	11	,	,	PUNCT
fumecheng-10469	440	12	houari	houari	PROPN
fumecheng-10469	440	13	,	,	PUNCT
fumecheng-10469	440	14	m.s.a	m.s.a	NOUN
fumecheng-10469	440	15	.	.	PROPN
fumecheng-10469	440	16	,	,	PUNCT
fumecheng-10469	440	17	eltaher	eltaher	PROPN
fumecheng-10469	440	18	,	,	PUNCT
fumecheng-10469	440	19	m.a	m.a	PROPN
fumecheng-10469	440	20	.	.	PROPN
fumecheng-10469	440	21	,	,	PUNCT
fumecheng-10469	440	22	2021	2021	NUM
fumecheng-10469	440	23	,	,	PUNCT
fumecheng-10469	440	24	a	a	DET
fumecheng-10469	440	25	novel	novel	ADJ
fumecheng-10469	440	26	nonlocal	nonlocal	ADJ
fumecheng-10469	440	27	strain	strain	NOUN
fumecheng-10469	440	28	gradient	gradient	ADJ
fumecheng-10469	440	29	quasi-3d	quasi-3d	ADV
fumecheng-10469	440	30	bending	bend	VERB
fumecheng-10469	440	31	analysis	analysis	NOUN
fumecheng-10469	440	32	of	of	ADP
fumecheng-10469	440	33	sigmoid	sigmoid	NOUN
fumecheng-10469	440	34	functionally	functionally	ADV
fumecheng-10469	440	35	graded	grade	VERB
fumecheng-10469	440	36	sandwich	sandwich	NOUN
fumecheng-10469	440	37	nanoplates	nanoplate	NOUN
fumecheng-10469	440	38	,	,	PUNCT
fumecheng-10469	440	39	composite	composite	ADJ
fumecheng-10469	440	40	structures	structure	NOUN
fumecheng-10469	440	41	,	,	PUNCT
fumecheng-10469	440	42	262	262	NUM
fumecheng-10469	440	43	,	,	PUNCT
fumecheng-10469	440	44	113347	113347	NUM
fumecheng-10469	440	45	.	.	PUNCT
fumecheng-10469	441	1	10	10	NUM
fumecheng-10469	441	2	.	.	X
fumecheng-10469	441	3	rapaport	rapaport	PROPN
fumecheng-10469	441	4	,	,	PUNCT
fumecheng-10469	441	5	d.c	d.c	PROPN
fumecheng-10469	441	6	.	.	PROPN
fumecheng-10469	441	7	,	,	PUNCT
fumecheng-10469	441	8	2004	2004	NUM
fumecheng-10469	441	9	,	,	PUNCT
fumecheng-10469	441	10	the	the	DET
fumecheng-10469	441	11	art	art	NOUN
fumecheng-10469	441	12	of	of	ADP
fumecheng-10469	441	13	molecular	molecular	ADJ
fumecheng-10469	441	14	dynamics	dynamic	NOUN
fumecheng-10469	441	15	simulations	simulation	NOUN
fumecheng-10469	441	16	,	,	PUNCT
fumecheng-10469	441	17	cambridge	cambridge	PROPN
fumecheng-10469	441	18	university	university	PROPN
fumecheng-10469	441	19	press	press	NOUN
fumecheng-10469	441	20	,	,	PUNCT
fumecheng-10469	441	21	great	great	ADJ
fumecheng-10469	441	22	britain	britain	PROPN
fumecheng-10469	441	23	.	.	PUNCT
fumecheng-10469	442	1	11	11	NUM
fumecheng-10469	442	2	.	.	PUNCT
fumecheng-10469	443	1	farajpour	farajpour	ADJ
fumecheng-10469	443	2	,	,	PUNCT
fumecheng-10469	443	3	a.	a.	PROPN
fumecheng-10469	443	4	,	,	PUNCT
fumecheng-10469	443	5	ghayesh	ghayesh	PROPN
fumecheng-10469	443	6	,	,	PUNCT
fumecheng-10469	443	7	m.h	m.h	PROPN
fumecheng-10469	443	8	.	.	PROPN
fumecheng-10469	443	9	,	,	PUNCT
fumecheng-10469	443	10	farokhi	farokhi	PROPN
fumecheng-10469	443	11	,	,	PUNCT
fumecheng-10469	443	12	h.	h.	PROPN
fumecheng-10469	443	13	,	,	PUNCT
fumecheng-10469	443	14	2018	2018	NUM
fumecheng-10469	443	15	,	,	PUNCT
fumecheng-10469	443	16	a	a	DET
fumecheng-10469	443	17	review	review	NOUN
fumecheng-10469	443	18	on	on	ADP
fumecheng-10469	443	19	the	the	DET
fumecheng-10469	443	20	mechanics	mechanic	NOUN
fumecheng-10469	443	21	of	of	ADP
fumecheng-10469	443	22	nanostructures	nanostructure	NOUN
fumecheng-10469	443	23	,	,	PUNCT
fumecheng-10469	443	24	international	international	ADJ
fumecheng-10469	443	25	journal	journal	NOUN
fumecheng-10469	443	26	of	of	ADP
fumecheng-10469	443	27	engineering	engineering	NOUN
fumecheng-10469	443	28	science	science	NOUN
fumecheng-10469	443	29	,	,	PUNCT
fumecheng-10469	443	30	133	133	NUM
fumecheng-10469	443	31	,	,	PUNCT
fumecheng-10469	443	32	pp	pp	ADJ
fumecheng-10469	443	33	.	.	PUNCT
fumecheng-10469	444	1	231	231	NUM
fumecheng-10469	444	2	-	-	SYM
fumecheng-10469	444	3	263	263	NUM
fumecheng-10469	444	4	.	.	PUNCT
fumecheng-10469	445	1	12	12	NUM
fumecheng-10469	445	2	.	.	X
fumecheng-10469	446	1	toupin	toupin	NOUN
fumecheng-10469	446	2	,	,	PUNCT
fumecheng-10469	446	3	r.a	r.a	PROPN
fumecheng-10469	446	4	.	.	PROPN
fumecheng-10469	446	5	,	,	PUNCT
fumecheng-10469	446	6	1962	1962	NUM
fumecheng-10469	446	7	,	,	PUNCT
fumecheng-10469	446	8	elastic	elastic	ADJ
fumecheng-10469	446	9	materials	material	NOUN
fumecheng-10469	446	10	with	with	ADP
fumecheng-10469	446	11	couple	couple	NOUN
fumecheng-10469	446	12	-	-	PUNCT
fumecheng-10469	446	13	stresses	stress	NOUN
fumecheng-10469	446	14	,	,	PUNCT
fumecheng-10469	446	15	archive	archive	NOUN
fumecheng-10469	446	16	for	for	ADP
fumecheng-10469	446	17	rational	rational	ADJ
fumecheng-10469	446	18	mechanics	mechanic	NOUN
fumecheng-10469	446	19	and	and	CCONJ
fumecheng-10469	446	20	analysis	analysis	NOUN
fumecheng-10469	446	21	,	,	PUNCT
fumecheng-10469	446	22	11	11	NUM
fumecheng-10469	446	23	,	,	PUNCT
fumecheng-10469	446	24	pp	pp	ADJ
fumecheng-10469	446	25	.	.	PUNCT
fumecheng-10469	447	1	385	385	NUM
fumecheng-10469	447	2	-	-	SYM
fumecheng-10469	447	3	414	414	NUM
fumecheng-10469	447	4	.	.	NOUN
fumecheng-10469	448	1	13	13	NUM
fumecheng-10469	448	2	.	.	PUNCT
fumecheng-10469	449	1	mindlin	mindlin	PROPN
fumecheng-10469	449	2	,	,	PUNCT
fumecheng-10469	449	3	r.d	r.d	PROPN
fumecheng-10469	449	4	.	.	PROPN
fumecheng-10469	449	5	,	,	PUNCT
fumecheng-10469	449	6	tiersten	tiersten	VERB
fumecheng-10469	449	7	,	,	PUNCT
fumecheng-10469	449	8	h.f	h.f	PROPN
fumecheng-10469	449	9	.	.	PROPN
fumecheng-10469	449	10	,	,	PUNCT
fumecheng-10469	449	11	1962	1962	NUM
fumecheng-10469	449	12	,	,	PUNCT
fumecheng-10469	449	13	effects	effect	NOUN
fumecheng-10469	449	14	of	of	ADP
fumecheng-10469	449	15	couple	couple	NOUN
fumecheng-10469	449	16	-	-	PUNCT
fumecheng-10469	449	17	stresses	stress	NOUN
fumecheng-10469	449	18	in	in	ADP
fumecheng-10469	449	19	linear	linear	PROPN
fumecheng-10469	449	20	elasticity	elasticity	NOUN
fumecheng-10469	449	21	,	,	PUNCT
fumecheng-10469	449	22	archive	archive	NOUN
fumecheng-10469	449	23	for	for	ADP
fumecheng-10469	449	24	rational	rational	ADJ
fumecheng-10469	449	25	mechanics	mechanic	NOUN
fumecheng-10469	449	26	and	and	CCONJ
fumecheng-10469	449	27	analysis	analysis	NOUN
fumecheng-10469	449	28	,	,	PUNCT
fumecheng-10469	449	29	11	11	NUM
fumecheng-10469	449	30	,	,	PUNCT
fumecheng-10469	449	31	415	415	NUM
fumecheng-10469	449	32	-	-	SYM
fumecheng-10469	449	33	448	448	NUM
fumecheng-10469	449	34	.	.	PUNCT
fumecheng-10469	450	1	14	14	NUM
fumecheng-10469	450	2	.	.	PUNCT
fumecheng-10469	450	3	koiter	koiter	NOUN
fumecheng-10469	450	4	,	,	PUNCT
fumecheng-10469	450	5	w.t	w.t	PROPN
fumecheng-10469	450	6	.	.	PROPN
fumecheng-10469	450	7	,	,	PUNCT
fumecheng-10469	450	8	1964	1964	NUM
fumecheng-10469	450	9	,	,	PUNCT
fumecheng-10469	450	10	couple	couple	NOUN
fumecheng-10469	450	11	stresses	stress	NOUN
fumecheng-10469	450	12	in	in	ADP
fumecheng-10469	450	13	the	the	DET
fumecheng-10469	450	14	theory	theory	NOUN
fumecheng-10469	450	15	of	of	ADP
fumecheng-10469	450	16	elasticity	elasticity	NOUN
fumecheng-10469	450	17	,	,	PUNCT
fumecheng-10469	450	18	i	i	PRON
fumecheng-10469	450	19	and	and	CCONJ
fumecheng-10469	450	20	ii	ii	PROPN
fumecheng-10469	450	21	.	.	PUNCT
fumecheng-10469	451	1	proceedings	proceeding	NOUN
fumecheng-10469	451	2	series	series	PROPN
fumecheng-10469	451	3	b	b	PROPN
fumecheng-10469	451	4	,	,	PUNCT
fumecheng-10469	451	5	koninklijke	koninklijke	PROPN
fumecheng-10469	451	6	nederlandse	nederlandse	PROPN
fumecheng-10469	451	7	akademie	akademie	PROPN
fumecheng-10469	451	8	van	van	PROPN
fumecheng-10469	451	9	wetenschappen	wetenschappen	PROPN
fumecheng-10469	451	10	,	,	PUNCT
fumecheng-10469	451	11	67	67	NUM
fumecheng-10469	451	12	,	,	PUNCT
fumecheng-10469	451	13	pp	pp	ADJ
fumecheng-10469	451	14	.	.	PUNCT
fumecheng-10469	452	1	17	17	NUM
fumecheng-10469	452	2	-	-	SYM
fumecheng-10469	452	3	44	44	NUM
fumecheng-10469	452	4	.	.	PUNCT
fumecheng-10469	453	1	15	15	NUM
fumecheng-10469	453	2	.	.	X
fumecheng-10469	454	1	yang	yang	PROPN
fumecheng-10469	454	2	,	,	PUNCT
fumecheng-10469	454	3	f.	f.	PROPN
fumecheng-10469	454	4	,	,	PUNCT
fumecheng-10469	454	5	chong	chong	PROPN
fumecheng-10469	454	6	,	,	PUNCT
fumecheng-10469	454	7	a.c.m	a.c.m	PROPN
fumecheng-10469	454	8	.	.	PROPN
fumecheng-10469	454	9	,	,	PUNCT
fumecheng-10469	454	10	lam	lam	PROPN
fumecheng-10469	454	11	,	,	PUNCT
fumecheng-10469	454	12	d.c.c	d.c.c	PROPN
fumecheng-10469	454	13	.	.	PROPN
fumecheng-10469	454	14	,	,	PUNCT
fumecheng-10469	454	15	tong	tong	PROPN
fumecheng-10469	454	16	,	,	PUNCT
fumecheng-10469	454	17	p.	p.	PROPN
fumecheng-10469	454	18	,	,	PUNCT
fumecheng-10469	454	19	2002	2002	NUM
fumecheng-10469	454	20	,	,	PUNCT
fumecheng-10469	454	21	couple	couple	NOUN
fumecheng-10469	454	22	stress	stress	NOUN
fumecheng-10469	454	23	based	base	VERB
fumecheng-10469	454	24	strain	strain	NOUN
fumecheng-10469	454	25	gradient	gradient	NOUN
fumecheng-10469	454	26	theory	theory	NOUN
fumecheng-10469	454	27	for	for	ADP
fumecheng-10469	454	28	elasticity	elasticity	NOUN
fumecheng-10469	454	29	,	,	PUNCT
fumecheng-10469	454	30	international	international	ADJ
fumecheng-10469	454	31	journal	journal	NOUN
fumecheng-10469	454	32	of	of	ADP
fumecheng-10469	454	33	solids	solid	NOUN
fumecheng-10469	454	34	and	and	CCONJ
fumecheng-10469	454	35	structures	structure	NOUN
fumecheng-10469	454	36	,	,	PUNCT
fumecheng-10469	454	37	39(10	39(10	NUM
fumecheng-10469	454	38	)	)	PUNCT
fumecheng-10469	454	39	,	,	PUNCT
fumecheng-10469	454	40	pp	pp	ADJ
fumecheng-10469	454	41	.	.	PUNCT
fumecheng-10469	455	1	2731	2731	NUM
fumecheng-10469	455	2	-	-	SYM
fumecheng-10469	455	3	2743	2743	NUM
fumecheng-10469	455	4	.	.	PUNCT
fumecheng-10469	456	1	16	16	NUM
fumecheng-10469	456	2	.	.	PUNCT
fumecheng-10469	457	1	mindlin	mindlin	PROPN
fumecheng-10469	457	2	,	,	PUNCT
fumecheng-10469	457	3	r.d	r.d	PROPN
fumecheng-10469	457	4	.	.	PROPN
fumecheng-10469	457	5	,	,	PUNCT
fumecheng-10469	457	6	1964	1964	NUM
fumecheng-10469	457	7	,	,	PUNCT
fumecheng-10469	457	8	micro	micro	NOUN
fumecheng-10469	457	9	-	-	NOUN
fumecheng-10469	457	10	structure	structure	NOUN
fumecheng-10469	457	11	in	in	ADP
fumecheng-10469	457	12	linear	linear	PROPN
fumecheng-10469	457	13	elasticity	elasticity	NOUN
fumecheng-10469	457	14	,	,	PUNCT
fumecheng-10469	457	15	archive	archive	NOUN
fumecheng-10469	457	16	for	for	ADP
fumecheng-10469	457	17	rational	rational	ADJ
fumecheng-10469	457	18	mechanics	mechanic	NOUN
fumecheng-10469	457	19	and	and	CCONJ
fumecheng-10469	457	20	analysis	analysis	NOUN
fumecheng-10469	457	21	,	,	PUNCT
fumecheng-10469	457	22	16	16	NUM
fumecheng-10469	457	23	,	,	PUNCT
fumecheng-10469	457	24	pp	pp	ADJ
fumecheng-10469	457	25	.	.	PUNCT
fumecheng-10469	458	1	51–78	51–78	NUM
fumecheng-10469	458	2	.	.	NOUN
fumecheng-10469	458	3	17	17	NUM
fumecheng-10469	458	4	.	.	PUNCT
fumecheng-10469	459	1	mindlin	mindlin	PROPN
fumecheng-10469	459	2	,	,	PUNCT
fumecheng-10469	459	3	r.d	r.d	PROPN
fumecheng-10469	459	4	.	.	PROPN
fumecheng-10469	459	5	,	,	PUNCT
fumecheng-10469	459	6	1965	1965	NUM
fumecheng-10469	459	7	,	,	PUNCT
fumecheng-10469	459	8	second	second	ADJ
fumecheng-10469	459	9	gradient	gradient	NOUN
fumecheng-10469	459	10	of	of	ADP
fumecheng-10469	459	11	strain	strain	NOUN
fumecheng-10469	459	12	and	and	CCONJ
fumecheng-10469	459	13	surface	surface	NOUN
fumecheng-10469	459	14	-	-	PUNCT
fumecheng-10469	459	15	tension	tension	NOUN
fumecheng-10469	459	16	in	in	ADP
fumecheng-10469	459	17	linear	linear	PROPN
fumecheng-10469	459	18	elasticity	elasticity	NOUN
fumecheng-10469	459	19	,	,	PUNCT
fumecheng-10469	459	20	international	international	ADJ
fumecheng-10469	459	21	journal	journal	NOUN
fumecheng-10469	459	22	of	of	ADP
fumecheng-10469	459	23	solids	solid	NOUN
fumecheng-10469	459	24	and	and	CCONJ
fumecheng-10469	459	25	structures	structure	NOUN
fumecheng-10469	459	26	,	,	PUNCT
fumecheng-10469	459	27	1(4	1(4	NUM
fumecheng-10469	459	28	)	)	PUNCT
fumecheng-10469	459	29	,	,	PUNCT
fumecheng-10469	459	30	pp	pp	ADP
fumecheng-10469	459	31	.	.	PUNCT
fumecheng-10469	460	1	417–438	417–438	NUM
fumecheng-10469	460	2	.	.	PROPN
fumecheng-10469	460	3	18	18	NUM
fumecheng-10469	460	4	.	.	X
fumecheng-10469	461	1	lam	lam	PROPN
fumecheng-10469	461	2	,	,	PUNCT
fumecheng-10469	461	3	d.c.c	d.c.c	PROPN
fumecheng-10469	461	4	.	.	PROPN
fumecheng-10469	461	5	,	,	PUNCT
fumecheng-10469	461	6	yang	yang	PROPN
fumecheng-10469	461	7	,	,	PUNCT
fumecheng-10469	461	8	f.	f.	PROPN
fumecheng-10469	461	9	,	,	PUNCT
fumecheng-10469	461	10	chong	chong	PROPN
fumecheng-10469	461	11	,	,	PUNCT
fumecheng-10469	461	12	a.c.m	a.c.m	PROPN
fumecheng-10469	461	13	.	.	PROPN
fumecheng-10469	461	14	,	,	PUNCT
fumecheng-10469	461	15	wang	wang	PROPN
fumecheng-10469	461	16	,	,	PUNCT
fumecheng-10469	461	17	j.	j.	PROPN
fumecheng-10469	461	18	,	,	PUNCT
fumecheng-10469	461	19	tong	tong	PROPN
fumecheng-10469	461	20	,	,	PUNCT
fumecheng-10469	461	21	p.	p.	PROPN
fumecheng-10469	461	22	,	,	PUNCT
fumecheng-10469	461	23	2003	2003	NUM
fumecheng-10469	461	24	,	,	PUNCT
fumecheng-10469	461	25	experiments	experiment	NOUN
fumecheng-10469	461	26	and	and	CCONJ
fumecheng-10469	461	27	theory	theory	NOUN
fumecheng-10469	461	28	in	in	ADP
fumecheng-10469	461	29	strain	strain	NOUN
fumecheng-10469	461	30	gradient	gradient	ADJ
fumecheng-10469	461	31	elasticity	elasticity	NOUN
fumecheng-10469	461	32	,	,	PUNCT
fumecheng-10469	461	33	journal	journal	NOUN
fumecheng-10469	461	34	of	of	ADP
fumecheng-10469	461	35	the	the	DET
fumecheng-10469	461	36	mechanics	mechanic	NOUN
fumecheng-10469	461	37	and	and	CCONJ
fumecheng-10469	461	38	physics	physic	NOUN
fumecheng-10469	461	39	of	of	ADP
fumecheng-10469	461	40	solids	solid	NOUN
fumecheng-10469	461	41	,	,	PUNCT
fumecheng-10469	461	42	51	51	NUM
fumecheng-10469	461	43	,	,	PUNCT
fumecheng-10469	461	44	pp	pp	ADJ
fumecheng-10469	461	45	.	.	PUNCT
fumecheng-10469	461	46	1477	1477	NUM
fumecheng-10469	461	47	-	-	SYM
fumecheng-10469	461	48	1508	1508	NUM
fumecheng-10469	461	49	.	.	PUNCT
fumecheng-10469	462	1	19	19	NUM
fumecheng-10469	462	2	.	.	X
fumecheng-10469	462	3	gurtin	gurtin	PROPN
fumecheng-10469	462	4	,	,	PUNCT
fumecheng-10469	462	5	m.e	m.e	PROPN
fumecheng-10469	462	6	.	.	PROPN
fumecheng-10469	462	7	,	,	PUNCT
fumecheng-10469	462	8	murdoch	murdoch	PROPN
fumecheng-10469	462	9	,	,	PUNCT
fumecheng-10469	462	10	a.i	a.i	PROPN
fumecheng-10469	462	11	.	.	PROPN
fumecheng-10469	462	12	,	,	PUNCT
fumecheng-10469	462	13	1975	1975	NUM
fumecheng-10469	462	14	,	,	PUNCT
fumecheng-10469	462	15	a	a	DET
fumecheng-10469	462	16	continuum	continuum	ADJ
fumecheng-10469	462	17	theory	theory	NOUN
fumecheng-10469	462	18	of	of	ADP
fumecheng-10469	462	19	elastic	elastic	ADJ
fumecheng-10469	462	20	material	material	NOUN
fumecheng-10469	462	21	surfaces	surface	NOUN
fumecheng-10469	462	22	,	,	PUNCT
fumecheng-10469	462	23	archive	archive	NOUN
fumecheng-10469	462	24	for	for	ADP
fumecheng-10469	462	25	rational	rational	ADJ
fumecheng-10469	462	26	mechanics	mechanic	NOUN
fumecheng-10469	462	27	and	and	CCONJ
fumecheng-10469	462	28	analysis	analysis	NOUN
fumecheng-10469	462	29	,	,	PUNCT
fumecheng-10469	462	30	57	57	NUM
fumecheng-10469	462	31	,	,	PUNCT
fumecheng-10469	462	32	pp	pp	ADJ
fumecheng-10469	462	33	.	.	PUNCT
fumecheng-10469	462	34	291	291	NUM
fumecheng-10469	462	35	-	-	SYM
fumecheng-10469	462	36	323	323	NUM
fumecheng-10469	462	37	.	.	NOUN
fumecheng-10469	462	38	20	20	NUM
fumecheng-10469	462	39	.	.	PUNCT
fumecheng-10469	462	40	kroner	kroner	PROPN
fumecheng-10469	462	41	,	,	PUNCT
fumecheng-10469	462	42	e.	e.	PROPN
fumecheng-10469	462	43	,	,	PUNCT
fumecheng-10469	462	44	1967	1967	NUM
fumecheng-10469	462	45	,	,	PUNCT
fumecheng-10469	462	46	elasticity	elasticity	NOUN
fumecheng-10469	462	47	theory	theory	NOUN
fumecheng-10469	462	48	of	of	ADP
fumecheng-10469	462	49	materials	material	NOUN
fumecheng-10469	462	50	with	with	ADP
fumecheng-10469	462	51	long	long	ADJ
fumecheng-10469	462	52	range	range	NOUN
fumecheng-10469	462	53	cohesive	cohesive	ADJ
fumecheng-10469	462	54	forces	force	NOUN
fumecheng-10469	462	55	,	,	PUNCT
fumecheng-10469	462	56	international	international	ADJ
fumecheng-10469	462	57	journal	journal	NOUN
fumecheng-10469	462	58	of	of	ADP
fumecheng-10469	462	59	solids	solid	NOUN
fumecheng-10469	462	60	and	and	CCONJ
fumecheng-10469	462	61	structures	structure	NOUN
fumecheng-10469	462	62	,	,	PUNCT
fumecheng-10469	462	63	3	3	NUM
fumecheng-10469	462	64	,	,	PUNCT
fumecheng-10469	462	65	pp	pp	ADJ
fumecheng-10469	462	66	.	.	PUNCT
fumecheng-10469	463	1	731	731	NUM
fumecheng-10469	463	2	-	-	SYM
fumecheng-10469	463	3	742	742	NUM
fumecheng-10469	463	4	.	.	PUNCT
fumecheng-10469	464	1	21	21	NUM
fumecheng-10469	464	2	.	.	PUNCT
fumecheng-10469	465	1	eringen	eringen	PROPN
fumecheng-10469	465	2	,	,	PUNCT
fumecheng-10469	465	3	a.c	a.c	PROPN
fumecheng-10469	465	4	.	.	PROPN
fumecheng-10469	465	5	,	,	PUNCT
fumecheng-10469	465	6	1972	1972	NUM
fumecheng-10469	465	7	,	,	PUNCT
fumecheng-10469	465	8	linear	linear	ADJ
fumecheng-10469	465	9	theory	theory	NOUN
fumecheng-10469	465	10	of	of	ADP
fumecheng-10469	465	11	nonlocal	nonlocal	ADJ
fumecheng-10469	465	12	elasticity	elasticity	NOUN
fumecheng-10469	465	13	and	and	CCONJ
fumecheng-10469	465	14	dispersion	dispersion	NOUN
fumecheng-10469	465	15	of	of	ADP
fumecheng-10469	465	16	plane	plane	NOUN
fumecheng-10469	465	17	waves	wave	NOUN
fumecheng-10469	465	18	,	,	PUNCT
fumecheng-10469	465	19	international	international	ADJ
fumecheng-10469	465	20	journal	journal	NOUN
fumecheng-10469	465	21	of	of	ADP
fumecheng-10469	465	22	engineering	engineering	NOUN
fumecheng-10469	465	23	science	science	NOUN
fumecheng-10469	465	24	,	,	PUNCT
fumecheng-10469	465	25	10	10	NUM
fumecheng-10469	465	26	,	,	PUNCT
fumecheng-10469	465	27	pp	pp	ADJ
fumecheng-10469	465	28	.	.	PUNCT
fumecheng-10469	466	1	425	425	NUM
fumecheng-10469	466	2	-	-	SYM
fumecheng-10469	466	3	435	435	NUM
fumecheng-10469	466	4	.	.	NUM
fumecheng-10469	467	1	22	22	NUM
fumecheng-10469	467	2	.	.	PUNCT
fumecheng-10469	468	1	eringen	eringen	PROPN
fumecheng-10469	468	2	,	,	PUNCT
fumecheng-10469	468	3	a.c	a.c	PROPN
fumecheng-10469	468	4	.	.	PROPN
fumecheng-10469	468	5	,	,	PUNCT
fumecheng-10469	468	6	1972	1972	NUM
fumecheng-10469	468	7	,	,	PUNCT
fumecheng-10469	468	8	nonlocal	nonlocal	ADJ
fumecheng-10469	468	9	polar	polar	ADJ
fumecheng-10469	468	10	elastic	elastic	ADJ
fumecheng-10469	468	11	continua	continuum	NOUN
fumecheng-10469	468	12	,	,	PUNCT
fumecheng-10469	468	13	international	international	ADJ
fumecheng-10469	468	14	journal	journal	NOUN
fumecheng-10469	468	15	of	of	ADP
fumecheng-10469	468	16	engineering	engineering	NOUN
fumecheng-10469	468	17	science	science	NOUN
fumecheng-10469	468	18	,	,	PUNCT
fumecheng-10469	468	19	10	10	NUM
fumecheng-10469	468	20	,	,	PUNCT
fumecheng-10469	468	21	pp	pp	ADJ
fumecheng-10469	468	22	.	.	PUNCT
fumecheng-10469	469	1	1	1	NUM
fumecheng-10469	469	2	-	-	SYM
fumecheng-10469	469	3	16	16	NUM
fumecheng-10469	469	4	.	.	PUNCT
fumecheng-10469	470	1	23	23	NUM
fumecheng-10469	470	2	.	.	PUNCT
fumecheng-10469	471	1	eringen	eringen	PROPN
fumecheng-10469	471	2	,	,	PUNCT
fumecheng-10469	471	3	a.c	a.c	PROPN
fumecheng-10469	471	4	.	.	PROPN
fumecheng-10469	471	5	,	,	PUNCT
fumecheng-10469	471	6	edelen	edelen	ADJ
fumecheng-10469	471	7	,	,	PUNCT
fumecheng-10469	471	8	d.g.b	d.g.b	NOUN
fumecheng-10469	471	9	.	.	PROPN
fumecheng-10469	471	10	,	,	PUNCT
fumecheng-10469	471	11	1972	1972	NUM
fumecheng-10469	471	12	,	,	PUNCT
fumecheng-10469	471	13	on	on	ADP
fumecheng-10469	471	14	nonlocal	nonlocal	ADJ
fumecheng-10469	471	15	elasticity	elasticity	NOUN
fumecheng-10469	471	16	,	,	PUNCT
fumecheng-10469	471	17	international	international	ADJ
fumecheng-10469	471	18	journal	journal	NOUN
fumecheng-10469	471	19	of	of	ADP
fumecheng-10469	471	20	engineering	engineering	NOUN
fumecheng-10469	471	21	science	science	NOUN
fumecheng-10469	471	22	,	,	PUNCT
fumecheng-10469	471	23	10	10	NUM
fumecheng-10469	471	24	,	,	PUNCT
fumecheng-10469	471	25	pp	pp	ADJ
fumecheng-10469	471	26	.	.	PUNCT
fumecheng-10469	472	1	233	233	NUM
fumecheng-10469	472	2	-	-	SYM
fumecheng-10469	472	3	248	248	NUM
fumecheng-10469	472	4	.	.	PUNCT
fumecheng-10469	473	1	24	24	NUM
fumecheng-10469	473	2	.	.	PUNCT
fumecheng-10469	474	1	eringen	eringen	PROPN
fumecheng-10469	474	2	,	,	PUNCT
fumecheng-10469	474	3	a.c	a.c	PROPN
fumecheng-10469	474	4	.	.	PROPN
fumecheng-10469	474	5	,	,	PUNCT
fumecheng-10469	474	6	1983	1983	NUM
fumecheng-10469	474	7	,	,	PUNCT
fumecheng-10469	474	8	on	on	ADP
fumecheng-10469	474	9	differential	differential	ADJ
fumecheng-10469	474	10	equations	equation	NOUN
fumecheng-10469	474	11	of	of	ADP
fumecheng-10469	474	12	nonlocal	nonlocal	ADJ
fumecheng-10469	474	13	elasticity	elasticity	NOUN
fumecheng-10469	474	14	and	and	CCONJ
fumecheng-10469	474	15	solutions	solution	NOUN
fumecheng-10469	474	16	of	of	ADP
fumecheng-10469	474	17	screw	screw	ADJ
fumecheng-10469	474	18	dislocation	dislocation	NOUN
fumecheng-10469	474	19	and	and	CCONJ
fumecheng-10469	474	20	surface	surface	NOUN
fumecheng-10469	474	21	wave	wave	NOUN
fumecheng-10469	474	22	,	,	PUNCT
fumecheng-10469	474	23	journal	journal	NOUN
fumecheng-10469	474	24	of	of	ADP
fumecheng-10469	474	25	applied	applied	ADJ
fumecheng-10469	474	26	physics	physic	NOUN
fumecheng-10469	474	27	,	,	PUNCT
fumecheng-10469	474	28	54	54	NUM
fumecheng-10469	474	29	,	,	PUNCT
fumecheng-10469	474	30	pp	pp	ADJ
fumecheng-10469	474	31	.	.	PUNCT
fumecheng-10469	475	1	4703	4703	NUM
fumecheng-10469	475	2	-	-	SYM
fumecheng-10469	475	3	4710	4710	NUM
fumecheng-10469	475	4	.	.	PUNCT
fumecheng-10469	476	1	25	25	NUM
fumecheng-10469	476	2	.	.	X
fumecheng-10469	477	1	romano	romano	NOUN
fumecheng-10469	477	2	,	,	PUNCT
fumecheng-10469	477	3	g.	g.	PROPN
fumecheng-10469	477	4	,	,	PUNCT
fumecheng-10469	477	5	barretta	barretta	PROPN
fumecheng-10469	477	6	,	,	PUNCT
fumecheng-10469	477	7	r.	r.	PROPN
fumecheng-10469	477	8	,	,	PUNCT
fumecheng-10469	477	9	2017	2017	NUM
fumecheng-10469	477	10	,	,	PUNCT
fumecheng-10469	477	11	nonlocal	nonlocal	ADJ
fumecheng-10469	477	12	elasticity	elasticity	NOUN
fumecheng-10469	477	13	in	in	ADP
fumecheng-10469	477	14	nanobeams	nanobeam	NOUN
fumecheng-10469	477	15	:	:	PUNCT
fumecheng-10469	477	16	the	the	DET
fumecheng-10469	477	17	stress	stress	NOUN
fumecheng-10469	477	18	-	-	PUNCT
fumecheng-10469	477	19	driven	drive	VERB
fumecheng-10469	477	20	integral	integral	ADJ
fumecheng-10469	477	21	model	model	NOUN
fumecheng-10469	477	22	.	.	PUNCT
fumecheng-10469	478	1	international	international	ADJ
fumecheng-10469	478	2	journal	journal	NOUN
fumecheng-10469	478	3	of	of	ADP
fumecheng-10469	478	4	engineering	engineering	NOUN
fumecheng-10469	478	5	science	science	NOUN
fumecheng-10469	478	6	,	,	PUNCT
fumecheng-10469	478	7	115	115	NUM
fumecheng-10469	478	8	,	,	PUNCT
fumecheng-10469	478	9	pp	pp	ADJ
fumecheng-10469	478	10	.	.	PUNCT
fumecheng-10469	479	1	14	14	NUM
fumecheng-10469	479	2	-	-	SYM
fumecheng-10469	479	3	27	27	NUM
fumecheng-10469	479	4	.	.	PUNCT
fumecheng-10469	480	1	26	26	NUM
fumecheng-10469	480	2	.	.	PUNCT
fumecheng-10469	481	1	lim	lim	PROPN
fumecheng-10469	481	2	,	,	PUNCT
fumecheng-10469	481	3	c.w	c.w	PROPN
fumecheng-10469	481	4	.	.	PROPN
fumecheng-10469	481	5	,	,	PUNCT
fumecheng-10469	481	6	zhang	zhang	PROPN
fumecheng-10469	481	7	,	,	PUNCT
fumecheng-10469	481	8	g.	g.	PROPN
fumecheng-10469	481	9	,	,	PUNCT
fumecheng-10469	481	10	reddy	reddy	PROPN
fumecheng-10469	481	11	,	,	PUNCT
fumecheng-10469	481	12	j.n	j.n	PROPN
fumecheng-10469	481	13	.	.	PROPN
fumecheng-10469	481	14	,	,	PUNCT
fumecheng-10469	481	15	2015	2015	NUM
fumecheng-10469	481	16	,	,	PUNCT
fumecheng-10469	481	17	a	a	DET
fumecheng-10469	481	18	higher	high	ADJ
fumecheng-10469	481	19	-	-	PUNCT
fumecheng-10469	481	20	order	order	NOUN
fumecheng-10469	481	21	nonlocal	nonlocal	ADJ
fumecheng-10469	481	22	elasticity	elasticity	NOUN
fumecheng-10469	481	23	and	and	CCONJ
fumecheng-10469	481	24	strain	strain	VERB
fumecheng-10469	481	25	gradient	gradient	NOUN
fumecheng-10469	481	26	theory	theory	NOUN
fumecheng-10469	481	27	and	and	CCONJ
fumecheng-10469	481	28	its	its	PRON
fumecheng-10469	481	29	applications	application	NOUN
fumecheng-10469	481	30	in	in	ADP
fumecheng-10469	481	31	wave	wave	NOUN
fumecheng-10469	481	32	propagation	propagation	NOUN
fumecheng-10469	481	33	,	,	PUNCT
fumecheng-10469	481	34	journal	journal	NOUN
fumecheng-10469	481	35	of	of	ADP
fumecheng-10469	481	36	the	the	DET
fumecheng-10469	481	37	mechanics	mechanic	NOUN
fumecheng-10469	481	38	and	and	CCONJ
fumecheng-10469	481	39	physics	physic	NOUN
fumecheng-10469	481	40	of	of	ADP
fumecheng-10469	481	41	solids	solid	NOUN
fumecheng-10469	481	42	,	,	PUNCT
fumecheng-10469	481	43	78	78	NUM
fumecheng-10469	481	44	,	,	PUNCT
fumecheng-10469	481	45	pp	pp	ADJ
fumecheng-10469	481	46	.	.	PUNCT
fumecheng-10469	482	1	298	298	NUM
fumecheng-10469	482	2	-	-	SYM
fumecheng-10469	482	3	313	313	NUM
fumecheng-10469	482	4	.	.	PUNCT
fumecheng-10469	483	1	detection	detection	NOUN
fumecheng-10469	483	2	of	of	ADP
fumecheng-10469	483	3	nonlocal	nonlocal	ADJ
fumecheng-10469	483	4	calibration	calibration	NOUN
fumecheng-10469	483	5	parameters	parameter	NOUN
fumecheng-10469	483	6	and	and	CCONJ
fumecheng-10469	483	7	range	range	NOUN
fumecheng-10469	483	8	interaction	interaction	NOUN
fumecheng-10469	483	9	for	for	ADP
fumecheng-10469	483	10	dynamics	dynamic	NOUN
fumecheng-10469	483	11	of	of	ADP
fumecheng-10469	483	12	fgm	fgm	PROPN
fumecheng-10469	483	13	porous	porous	ADJ
fumecheng-10469	483	14	…	…	PUNCT
fumecheng-10469	483	15	477	477	NUM
fumecheng-10469	483	16	27	27	NUM
fumecheng-10469	483	17	.	.	PUNCT
fumecheng-10469	484	1	chandel	chandel	PROPN
fumecheng-10469	484	2	,	,	PUNCT
fumecheng-10469	484	3	v.s.	v.s.	PROPN
fumecheng-10469	484	4	,	,	PUNCT
fumecheng-10469	484	5	wang	wang	PROPN
fumecheng-10469	484	6	,	,	PUNCT
fumecheng-10469	484	7	g.	g.	PROPN
fumecheng-10469	484	8	,	,	PUNCT
fumecheng-10469	484	9	talha	talha	NOUN
fumecheng-10469	484	10	,	,	PUNCT
fumecheng-10469	484	11	m.	m.	NOUN
fumecheng-10469	484	12	,	,	PUNCT
fumecheng-10469	484	13	2020	2020	NUM
fumecheng-10469	484	14	,	,	PUNCT
fumecheng-10469	484	15	advances	advance	NOUN
fumecheng-10469	484	16	in	in	ADP
fumecheng-10469	484	17	modelling	modelling	NOUN
fumecheng-10469	484	18	and	and	CCONJ
fumecheng-10469	484	19	analysis	analysis	NOUN
fumecheng-10469	484	20	of	of	ADP
fumecheng-10469	484	21	nano	nano	NOUN
fumecheng-10469	484	22	structures	structure	NOUN
fumecheng-10469	484	23	:	:	PUNCT
fumecheng-10469	484	24	a	a	DET
fumecheng-10469	484	25	review	review	NOUN
fumecheng-10469	484	26	,	,	PUNCT
fumecheng-10469	484	27	nanotechnology	nanotechnology	NOUN
fumecheng-10469	484	28	reviews	review	NOUN
fumecheng-10469	484	29	,	,	PUNCT
fumecheng-10469	484	30	9(1	9(1	NUM
fumecheng-10469	484	31	)	)	PUNCT
fumecheng-10469	484	32	,	,	PUNCT
fumecheng-10469	484	33	pp	pp	ADP
fumecheng-10469	484	34	.	.	PUNCT
fumecheng-10469	485	1	230	230	NUM
fumecheng-10469	485	2	-	-	SYM
fumecheng-10469	485	3	258	258	NUM
fumecheng-10469	485	4	.	.	PUNCT
fumecheng-10469	486	1	28	28	NUM
fumecheng-10469	486	2	.	.	PUNCT
fumecheng-10469	487	1	askes	ask	VERB
fumecheng-10469	487	2	,	,	PUNCT
fumecheng-10469	487	3	h.	h.	PROPN
fumecheng-10469	487	4	,	,	PUNCT
fumecheng-10469	487	5	aifantis	aifantis	PROPN
fumecheng-10469	487	6	,	,	PUNCT
fumecheng-10469	487	7	e.c	e.c	PROPN
fumecheng-10469	487	8	.	.	PROPN
fumecheng-10469	487	9	,	,	PUNCT
fumecheng-10469	487	10	2009	2009	NUM
fumecheng-10469	487	11	,	,	PUNCT
fumecheng-10469	487	12	gradient	gradient	ADJ
fumecheng-10469	487	13	elasticity	elasticity	NOUN
fumecheng-10469	487	14	and	and	CCONJ
fumecheng-10469	487	15	flexural	flexural	ADJ
fumecheng-10469	487	16	wave	wave	NOUN
fumecheng-10469	487	17	dispersion	dispersion	NOUN
fumecheng-10469	487	18	in	in	ADP
fumecheng-10469	487	19	carbon	carbon	NOUN
fumecheng-10469	487	20	nanotubes	nanotube	NOUN
fumecheng-10469	487	21	,	,	PUNCT
fumecheng-10469	487	22	physical	physical	ADJ
fumecheng-10469	487	23	review	review	PROPN
fumecheng-10469	487	24	b	b	PROPN
fumecheng-10469	487	25	,	,	PUNCT
fumecheng-10469	487	26	80	80	NUM
fumecheng-10469	487	27	,	,	PUNCT
fumecheng-10469	487	28	1995412	1995412	NUM
fumecheng-10469	487	29	.	.	PUNCT
fumecheng-10469	488	1	29	29	NUM
fumecheng-10469	488	2	.	.	X
fumecheng-10469	489	1	ouakad	ouakad	ADJ
fumecheng-10469	489	2	,	,	PUNCT
fumecheng-10469	489	3	h.m	h.m	PROPN
fumecheng-10469	489	4	.	.	PROPN
fumecheng-10469	489	5	,	,	PUNCT
fumecheng-10469	489	6	younis	younis	PROPN
fumecheng-10469	489	7	,	,	PUNCT
fumecheng-10469	489	8	m.i	m.i	PROPN
fumecheng-10469	489	9	.	.	PROPN
fumecheng-10469	489	10	,	,	PUNCT
fumecheng-10469	489	11	2010	2010	NUM
fumecheng-10469	489	12	,	,	PUNCT
fumecheng-10469	489	13	nonlinear	nonlinear	ADJ
fumecheng-10469	489	14	dynamics	dynamic	NOUN
fumecheng-10469	489	15	of	of	ADP
fumecheng-10469	489	16	electrically	electrically	ADV
fumecheng-10469	489	17	actuated	actuate	VERB
fumecheng-10469	489	18	carbon	carbon	NOUN
fumecheng-10469	489	19	nanotube	nanotube	NOUN
fumecheng-10469	489	20	resonator	resonator	NOUN
fumecheng-10469	489	21	,	,	PUNCT
fumecheng-10469	489	22	journal	journal	NOUN
fumecheng-10469	489	23	of	of	ADP
fumecheng-10469	489	24	computational	computational	ADJ
fumecheng-10469	489	25	and	and	CCONJ
fumecheng-10469	489	26	nonlinear	nonlinear	ADJ
fumecheng-10469	489	27	dynamics	dynamic	NOUN
fumecheng-10469	489	28	,	,	PUNCT
fumecheng-10469	489	29	5	5	NUM
fumecheng-10469	489	30	,	,	PUNCT
fumecheng-10469	489	31	011009	011009	NUM
fumecheng-10469	489	32	.	.	PUNCT
fumecheng-10469	490	1	30	30	NUM
fumecheng-10469	490	2	.	.	PUNCT
fumecheng-10469	491	1	ke	ke	NOUN
fumecheng-10469	491	2	,	,	PUNCT
fumecheng-10469	491	3	l.-l	l.-l	PROPN
fumecheng-10469	491	4	.	.	PUNCT
fumecheng-10469	491	5	,	,	PUNCT
fumecheng-10469	491	6	wang	wang	PROPN
fumecheng-10469	491	7	,	,	PUNCT
fumecheng-10469	491	8	y.-s	y.-s	PROPN
fumecheng-10469	491	9	.	.	PUNCT
fumecheng-10469	491	10	,	,	PUNCT
fumecheng-10469	491	11	yang	yang	PROPN
fumecheng-10469	491	12	,	,	PUNCT
fumecheng-10469	491	13	j.	j.	PROPN
fumecheng-10469	491	14	,	,	PUNCT
fumecheng-10469	491	15	kitipornchai	kitipornchai	PROPN
fumecheng-10469	491	16	,	,	PUNCT
fumecheng-10469	491	17	s.	s.	PROPN
fumecheng-10469	491	18	,	,	PUNCT
fumecheng-10469	491	19	2014	2014	NUM
fumecheng-10469	491	20	,	,	PUNCT
fumecheng-10469	491	21	free	free	ADJ
fumecheng-10469	491	22	vibration	vibration	NOUN
fumecheng-10469	491	23	of	of	ADP
fumecheng-10469	491	24	size	size	NOUN
fumecheng-10469	491	25	-	-	PUNCT
fumecheng-10469	491	26	dependent	dependent	ADJ
fumecheng-10469	491	27	magneto	magneto	ADJ
fumecheng-10469	491	28	-	-	PUNCT
fumecheng-10469	491	29	electroelastic	electroelastic	ADJ
fumecheng-10469	491	30	nanoplates	nanoplate	NOUN
fumecheng-10469	491	31	based	base	VERB
fumecheng-10469	491	32	on	on	ADP
fumecheng-10469	491	33	the	the	DET
fumecheng-10469	491	34	nonlocal	nonlocal	ADJ
fumecheng-10469	491	35	theory	theory	NOUN
fumecheng-10469	491	36	,	,	PUNCT
fumecheng-10469	491	37	acta	acta	PROPN
fumecheng-10469	491	38	mechanica	mechanica	PROPN
fumecheng-10469	491	39	sinica	sinica	PROPN
fumecheng-10469	491	40	,	,	PUNCT
fumecheng-10469	491	41	30	30	NUM
fumecheng-10469	491	42	,	,	PUNCT
fumecheng-10469	491	43	pp	pp	ADJ
fumecheng-10469	491	44	.	.	PUNCT
fumecheng-10469	492	1	516	516	NUM
fumecheng-10469	492	2	-	-	SYM
fumecheng-10469	492	3	525	525	NUM
fumecheng-10469	492	4	.	.	PUNCT
fumecheng-10469	493	1	31	31	NUM
fumecheng-10469	493	2	.	.	PUNCT
fumecheng-10469	494	1	mehralian	mehralian	PROPN
fumecheng-10469	494	2	,	,	PUNCT
fumecheng-10469	494	3	f.	f.	PROPN
fumecheng-10469	494	4	,	,	PUNCT
fumecheng-10469	494	5	beni	beni	PROPN
fumecheng-10469	494	6	,	,	PUNCT
fumecheng-10469	494	7	y.t	y.t	PROPN
fumecheng-10469	494	8	,	,	PUNCT
fumecheng-10469	494	9	2017	2017	NUM
fumecheng-10469	494	10	,	,	PUNCT
fumecheng-10469	494	11	thermo	thermo	NOUN
fumecheng-10469	494	12	-	-	PUNCT
fumecheng-10469	494	13	electro	electro	ADJ
fumecheng-10469	494	14	-	-	PUNCT
fumecheng-10469	494	15	mechanical	mechanical	ADJ
fumecheng-10469	494	16	buckling	buckling	NOUN
fumecheng-10469	494	17	analysis	analysis	NOUN
fumecheng-10469	494	18	of	of	ADP
fumecheng-10469	494	19	cylindrical	cylindrical	ADJ
fumecheng-10469	494	20	nanoshell	nanoshell	NOUN
fumecheng-10469	494	21	on	on	ADP
fumecheng-10469	494	22	the	the	DET
fumecheng-10469	494	23	basis	basis	NOUN
fumecheng-10469	494	24	of	of	ADP
fumecheng-10469	494	25	modified	modify	VERB
fumecheng-10469	494	26	couple	couple	NOUN
fumecheng-10469	494	27	stress	stress	NOUN
fumecheng-10469	494	28	theory	theory	NOUN
fumecheng-10469	494	29	,	,	PUNCT
fumecheng-10469	494	30	journal	journal	NOUN
fumecheng-10469	494	31	of	of	ADP
fumecheng-10469	494	32	mechanical	mechanical	ADJ
fumecheng-10469	494	33	science	science	NOUN
fumecheng-10469	494	34	and	and	CCONJ
fumecheng-10469	494	35	technology	technology	NOUN
fumecheng-10469	494	36	,	,	PUNCT
fumecheng-10469	494	37	31	31	NUM
fumecheng-10469	494	38	,	,	PUNCT
fumecheng-10469	494	39	pp	pp	ADJ
fumecheng-10469	494	40	.	.	PUNCT
fumecheng-10469	495	1	1773	1773	NUM
fumecheng-10469	495	2	-	-	SYM
fumecheng-10469	495	3	1787	1787	NUM
fumecheng-10469	495	4	.	.	PUNCT
fumecheng-10469	496	1	32	32	NUM
fumecheng-10469	496	2	.	.	X
fumecheng-10469	497	1	lu	lu	PROPN
fumecheng-10469	497	2	,	,	PUNCT
fumecheng-10469	497	3	l.	l.	PROPN
fumecheng-10469	497	4	,	,	PUNCT
fumecheng-10469	497	5	guo	guo	PROPN
fumecheng-10469	497	6	,	,	PUNCT
fumecheng-10469	497	7	x.	x.	PROPN
fumecheng-10469	497	8	,	,	PUNCT
fumecheng-10469	497	9	zhao	zhao	PROPN
fumecheng-10469	497	10	,	,	PUNCT
fumecheng-10469	497	11	j.	j.	PROPN
fumecheng-10469	497	12	,	,	PUNCT
fumecheng-10469	497	13	2017	2017	NUM
fumecheng-10469	497	14	,	,	PUNCT
fumecheng-10469	497	15	a	a	DET
fumecheng-10469	497	16	unified	unified	ADJ
fumecheng-10469	497	17	nonlocal	nonlocal	ADJ
fumecheng-10469	497	18	strain	strain	NOUN
fumecheng-10469	497	19	gradient	gradient	NOUN
fumecheng-10469	497	20	model	model	NOUN
fumecheng-10469	497	21	for	for	ADP
fumecheng-10469	497	22	nanobeams	nanobeam	NOUN
fumecheng-10469	497	23	and	and	CCONJ
fumecheng-10469	497	24	the	the	DET
fumecheng-10469	497	25	importance	importance	NOUN
fumecheng-10469	497	26	of	of	ADP
fumecheng-10469	497	27	higher	high	ADJ
fumecheng-10469	497	28	order	order	NOUN
fumecheng-10469	497	29	terms	term	NOUN
fumecheng-10469	497	30	,	,	PUNCT
fumecheng-10469	497	31	international	international	ADJ
fumecheng-10469	497	32	journal	journal	NOUN
fumecheng-10469	497	33	of	of	ADP
fumecheng-10469	497	34	engineering	engineering	NOUN
fumecheng-10469	497	35	science	science	NOUN
fumecheng-10469	497	36	,	,	PUNCT
fumecheng-10469	497	37	119	119	NUM
fumecheng-10469	497	38	,	,	PUNCT
fumecheng-10469	497	39	pp	pp	ADJ
fumecheng-10469	497	40	.	.	PUNCT
fumecheng-10469	498	1	265	265	NUM
fumecheng-10469	498	2	-	-	SYM
fumecheng-10469	498	3	277	277	NUM
fumecheng-10469	498	4	.	.	PUNCT
fumecheng-10469	499	1	33	33	NUM
fumecheng-10469	499	2	.	.	PUNCT
fumecheng-10469	500	1	ouakad	ouakad	PROPN
fumecheng-10469	500	2	,	,	PUNCT
fumecheng-10469	500	3	h.m	h.m	PROPN
fumecheng-10469	500	4	.	.	PROPN
fumecheng-10469	500	5	,	,	PUNCT
fumecheng-10469	500	6	sedighi	sedighi	PROPN
fumecheng-10469	500	7	,	,	PUNCT
fumecheng-10469	500	8	h.m	h.m	PROPN
fumecheng-10469	500	9	.	.	PROPN
fumecheng-10469	500	10	,	,	PUNCT
fumecheng-10469	500	11	al	al	PROPN
fumecheng-10469	500	12	-	-	PUNCT
fumecheng-10469	500	13	qahtani	qahtani	PROPN
fumecheng-10469	500	14	,	,	PUNCT
fumecheng-10469	500	15	h.m	h.m	PROPN
fumecheng-10469	500	16	.	.	PROPN
fumecheng-10469	500	17	,	,	PUNCT
fumecheng-10469	500	18	2020	2020	NUM
fumecheng-10469	500	19	,	,	PUNCT
fumecheng-10469	500	20	forward	forward	ADV
fumecheng-10469	500	21	and	and	CCONJ
fumecheng-10469	500	22	backward	backward	ADJ
fumecheng-10469	500	23	whirling	whirling	NOUN
fumecheng-10469	500	24	of	of	ADP
fumecheng-10469	500	25	a	a	DET
fumecheng-10469	500	26	spinning	spin	VERB
fumecheng-10469	500	27	nanotube	nanotube	ADJ
fumecheng-10469	500	28	nano	nano	NOUN
fumecheng-10469	500	29	-	-	PUNCT
fumecheng-10469	500	30	rotor	rotor	NOUN
fumecheng-10469	500	31	assuming	assume	VERB
fumecheng-10469	500	32	gyroscopic	gyroscopic	NOUN
fumecheng-10469	500	33	effects	effect	NOUN
fumecheng-10469	500	34	,	,	PUNCT
fumecheng-10469	500	35	advances	advance	NOUN
fumecheng-10469	500	36	in	in	ADP
fumecheng-10469	500	37	nano	nano	NOUN
fumecheng-10469	500	38	research	research	NOUN
fumecheng-10469	500	39	,	,	PUNCT
fumecheng-10469	500	40	8	8	NUM
fumecheng-10469	500	41	,	,	PUNCT
fumecheng-10469	500	42	pp	pp	ADJ
fumecheng-10469	500	43	.	.	PUNCT
fumecheng-10469	501	1	245	245	NUM
fumecheng-10469	501	2	-	-	SYM
fumecheng-10469	501	3	254	254	NUM
fumecheng-10469	501	4	.	.	PUNCT
fumecheng-10469	502	1	34	34	NUM
fumecheng-10469	502	2	.	.	PUNCT
fumecheng-10469	503	1	ouakad	ouakad	PROPN
fumecheng-10469	503	2	,	,	PUNCT
fumecheng-10469	503	3	h.m	h.m	PROPN
fumecheng-10469	503	4	.	.	PROPN
fumecheng-10469	503	5	,	,	PUNCT
fumecheng-10469	503	6	valipour	valipour	ADJ
fumecheng-10469	503	7	,	,	PUNCT
fumecheng-10469	503	8	a.	a.	NOUN
fumecheng-10469	503	9	,	,	PUNCT
fumecheng-10469	503	10	żur	żur	PROPN
fumecheng-10469	503	11	,	,	PUNCT
fumecheng-10469	503	12	k.k	k.k	PROPN
fumecheng-10469	503	13	.	.	PROPN
fumecheng-10469	503	14	,	,	PUNCT
fumecheng-10469	503	15	sedighi	sedighi	PROPN
fumecheng-10469	503	16	,	,	PUNCT
fumecheng-10469	503	17	h.m	h.m	PROPN
fumecheng-10469	503	18	.	.	PROPN
fumecheng-10469	503	19	,	,	PUNCT
fumecheng-10469	503	20	reddy	reddy	PROPN
fumecheng-10469	503	21	,	,	PUNCT
fumecheng-10469	503	22	j.n	j.n	PROPN
fumecheng-10469	503	23	.	.	PROPN
fumecheng-10469	503	24	,	,	PUNCT
fumecheng-10469	503	25	2020	2020	NUM
fumecheng-10469	503	26	,	,	PUNCT
fumecheng-10469	503	27	on	on	ADP
fumecheng-10469	503	28	the	the	DET
fumecheng-10469	503	29	nonlinear	nonlinear	ADJ
fumecheng-10469	503	30	vibration	vibration	NOUN
fumecheng-10469	503	31	and	and	CCONJ
fumecheng-10469	503	32	static	static	ADJ
fumecheng-10469	503	33	deflection	deflection	NOUN
fumecheng-10469	503	34	problems	problem	NOUN
fumecheng-10469	503	35	of	of	ADP
fumecheng-10469	503	36	actuated	actuate	VERB
fumecheng-10469	503	37	hybrid	hybrid	NOUN
fumecheng-10469	503	38	nanotubes	nanotube	NOUN
fumecheng-10469	503	39	based	base	VERB
fumecheng-10469	503	40	on	on	ADP
fumecheng-10469	503	41	the	the	DET
fumecheng-10469	503	42	stress	stress	NOUN
fumecheng-10469	503	43	-	-	PUNCT
fumecheng-10469	503	44	driven	drive	VERB
fumecheng-10469	503	45	nonlocal	nonlocal	ADJ
fumecheng-10469	503	46	integral	integral	ADJ
fumecheng-10469	503	47	elasticity	elasticity	NOUN
fumecheng-10469	503	48	,	,	PUNCT
fumecheng-10469	503	49	mechanics	mechanic	NOUN
fumecheng-10469	503	50	of	of	ADP
fumecheng-10469	503	51	materials	material	NOUN
fumecheng-10469	503	52	,	,	PUNCT
fumecheng-10469	503	53	148	148	NUM
fumecheng-10469	503	54	,	,	PUNCT
fumecheng-10469	503	55	103532	103532	NUM
fumecheng-10469	503	56	,	,	PUNCT
fumecheng-10469	503	57	35	35	NUM
fumecheng-10469	503	58	.	.	PUNCT
fumecheng-10469	504	1	sedighi	sedighi	PROPN
fumecheng-10469	504	2	,	,	PUNCT
fumecheng-10469	504	3	h.m	h.m	PROPN
fumecheng-10469	504	4	.	.	PROPN
fumecheng-10469	504	5	,	,	PUNCT
fumecheng-10469	504	6	malikan	malikan	PROPN
fumecheng-10469	504	7	,	,	PUNCT
fumecheng-10469	504	8	m.	m.	NOUN
fumecheng-10469	504	9	,	,	PUNCT
fumecheng-10469	504	10	valipour	valipour	ADJ
fumecheng-10469	504	11	,	,	PUNCT
fumecheng-10469	504	12	a.	a.	NOUN
fumecheng-10469	504	13	,	,	PUNCT
fumecheng-10469	504	14	żur	żur	PROPN
fumecheng-10469	504	15	,	,	PUNCT
fumecheng-10469	504	16	k.k	k.k	PROPN
fumecheng-10469	504	17	.	.	PROPN
fumecheng-10469	504	18	,	,	PUNCT
fumecheng-10469	504	19	2020	2020	NUM
fumecheng-10469	504	20	,	,	PUNCT
fumecheng-10469	504	21	nonlocal	nonlocal	ADJ
fumecheng-10469	504	22	vibration	vibration	NOUN
fumecheng-10469	504	23	of	of	ADP
fumecheng-10469	504	24	carbon	carbon	NOUN
fumecheng-10469	504	25	/	/	SYM
fumecheng-10469	504	26	boron	boron	NOUN
fumecheng-10469	504	27	-	-	PUNCT
fumecheng-10469	504	28	nitridenanohetero	nitridenanohetero	NOUN
fumecheng-10469	504	29	-	-	PUNCT
fumecheng-10469	504	30	structure	structure	NOUN
fumecheng-10469	504	31	in	in	ADP
fumecheng-10469	504	32	thermal	thermal	ADJ
fumecheng-10469	504	33	and	and	CCONJ
fumecheng-10469	504	34	magnetic	magnetic	ADJ
fumecheng-10469	504	35	fields	field	NOUN
fumecheng-10469	504	36	by	by	ADP
fumecheng-10469	504	37	means	mean	NOUN
fumecheng-10469	504	38	of	of	ADP
fumecheng-10469	504	39	nonlinear	nonlinear	ADJ
fumecheng-10469	504	40	finite	finite	PROPN
fumecheng-10469	504	41	element	element	NOUN
fumecheng-10469	504	42	method	method	NOUN
fumecheng-10469	504	43	,	,	PUNCT
fumecheng-10469	504	44	journal	journal	NOUN
fumecheng-10469	504	45	of	of	ADP
fumecheng-10469	504	46	computational	computational	ADJ
fumecheng-10469	504	47	design	design	NOUN
fumecheng-10469	504	48	and	and	CCONJ
fumecheng-10469	504	49	engineering	engineering	NOUN
fumecheng-10469	504	50	,	,	PUNCT
fumecheng-10469	504	51	7(5	7(5	NUM
fumecheng-10469	504	52	)	)	PUNCT
fumecheng-10469	504	53	,	,	PUNCT
fumecheng-10469	504	54	pp	pp	ADJ
fumecheng-10469	504	55	.	.	PUNCT
fumecheng-10469	505	1	591	591	NUM
fumecheng-10469	505	2	-	-	SYM
fumecheng-10469	505	3	602	602	NUM
fumecheng-10469	505	4	.	.	PUNCT
fumecheng-10469	506	1	36	36	NUM
fumecheng-10469	506	2	.	.	PUNCT
fumecheng-10469	507	1	farajpour	farajpour	ADJ
fumecheng-10469	507	2	,	,	PUNCT
fumecheng-10469	507	3	a.	a.	PROPN
fumecheng-10469	507	4	,	,	PUNCT
fumecheng-10469	507	5	żur	żur	PROPN
fumecheng-10469	507	6	,	,	PUNCT
fumecheng-10469	507	7	k.k	k.k	PROPN
fumecheng-10469	507	8	.	.	PROPN
fumecheng-10469	507	9	,	,	PUNCT
fumecheng-10469	507	10	kim	kim	PROPN
fumecheng-10469	507	11	,	,	PUNCT
fumecheng-10469	507	12	j.	j.	PROPN
fumecheng-10469	507	13	,	,	PUNCT
fumecheng-10469	507	14	reddy	reddy	PROPN
fumecheng-10469	507	15	,	,	PUNCT
fumecheng-10469	507	16	j.n	j.n	PROPN
fumecheng-10469	507	17	.	.	PROPN
fumecheng-10469	507	18	,	,	PUNCT
fumecheng-10469	507	19	2021	2021	NUM
fumecheng-10469	507	20	,	,	PUNCT
fumecheng-10469	507	21	nonlinear	nonlinear	ADJ
fumecheng-10469	507	22	frequency	frequency	NOUN
fumecheng-10469	507	23	behaviour	behaviour	NOUN
fumecheng-10469	507	24	of	of	ADP
fumecheng-10469	507	25	magnetoelectromechanical	magnetoelectromechanical	ADJ
fumecheng-10469	507	26	mass	mass	NOUN
fumecheng-10469	507	27	nanosensors	nanosensor	NOUN
fumecheng-10469	507	28	using	use	VERB
fumecheng-10469	507	29	vibrating	vibrate	VERB
fumecheng-10469	507	30	mee	mee	PROPN
fumecheng-10469	507	31	nanoplates	nanoplate	NOUN
fumecheng-10469	507	32	with	with	ADP
fumecheng-10469	507	33	multiple	multiple	ADJ
fumecheng-10469	507	34	nanoparticles	nanoparticle	NOUN
fumecheng-10469	507	35	,	,	PUNCT
fumecheng-10469	507	36	composite	composite	ADJ
fumecheng-10469	507	37	structures	structure	NOUN
fumecheng-10469	507	38	,	,	PUNCT
fumecheng-10469	507	39	260	260	NUM
fumecheng-10469	507	40	,	,	PUNCT
fumecheng-10469	507	41	113458	113458	NUM
fumecheng-10469	507	42	.	.	PUNCT
fumecheng-10469	508	1	37	37	NUM
fumecheng-10469	508	2	.	.	PUNCT
fumecheng-10469	509	1	żur	żur	PROPN
fumecheng-10469	509	2	,	,	PUNCT
fumecheng-10469	509	3	k.k	k.k	PROPN
fumecheng-10469	509	4	.	.	PROPN
fumecheng-10469	509	5	,	,	PUNCT
fumecheng-10469	509	6	farajpour	farajpour	ADJ
fumecheng-10469	509	7	,	,	PUNCT
fumecheng-10469	509	8	a.	a.	PROPN
fumecheng-10469	509	9	,	,	PUNCT
fumecheng-10469	509	10	lim	lim	PROPN
fumecheng-10469	509	11	,	,	PUNCT
fumecheng-10469	509	12	c.w	c.w	PROPN
fumecheng-10469	509	13	.	.	PROPN
fumecheng-10469	509	14	,	,	PUNCT
fumecheng-10469	509	15	jankowski	jankowski	PROPN
fumecheng-10469	509	16	,	,	PUNCT
fumecheng-10469	509	17	p.	p.	NOUN
fumecheng-10469	509	18	,	,	PUNCT
fumecheng-10469	509	19	2021	2021	NUM
fumecheng-10469	509	20	,	,	PUNCT
fumecheng-10469	509	21	on	on	ADP
fumecheng-10469	509	22	the	the	DET
fumecheng-10469	509	23	nonlinear	nonlinear	ADJ
fumecheng-10469	509	24	dynamics	dynamic	NOUN
fumecheng-10469	509	25	of	of	ADP
fumecheng-10469	509	26	porous	porous	ADJ
fumecheng-10469	509	27	composite	composite	ADJ
fumecheng-10469	509	28	nanobeams	nanobeam	NOUN
fumecheng-10469	509	29	connected	connect	VERB
fumecheng-10469	509	30	with	with	ADP
fumecheng-10469	509	31	fullerenes	fullerene	NOUN
fumecheng-10469	509	32	,	,	PUNCT
fumecheng-10469	509	33	composite	composite	ADJ
fumecheng-10469	509	34	structures	structure	NOUN
fumecheng-10469	509	35	,	,	PUNCT
fumecheng-10469	509	36	274	274	NUM
fumecheng-10469	509	37	,	,	PUNCT
fumecheng-10469	509	38	114356	114356	NUM
fumecheng-10469	509	39	.	.	PUNCT
fumecheng-10469	510	1	38	38	NUM
fumecheng-10469	510	2	.	.	PUNCT
fumecheng-10469	510	3	hieu	hieu	PROPN
fumecheng-10469	510	4	,	,	PUNCT
fumecheng-10469	510	5	d.v	d.v	PROPN
fumecheng-10469	510	6	.	.	PROPN
fumecheng-10469	510	7	,	,	PUNCT
fumecheng-10469	510	8	hoa	hoa	PROPN
fumecheng-10469	510	9	n.t	n.t	PROPN
fumecheng-10469	510	10	.	.	PROPN
fumecheng-10469	510	11	,	,	PUNCT
fumecheng-10469	510	12	duy	duy	PROPN
fumecheng-10469	510	13	,	,	PUNCT
fumecheng-10469	510	14	l.q	l.q	PROPN
fumecheng-10469	510	15	.	.	PROPN
fumecheng-10469	510	16	,	,	PUNCT
fumecheng-10469	510	17	thoa	thoa	NOUN
fumecheng-10469	510	18	,	,	PUNCT
fumecheng-10469	510	19	n.t.k	n.t.k	NOUN
fumecheng-10469	510	20	.	.	PROPN
fumecheng-10469	510	21	,	,	PUNCT
fumecheng-10469	510	22	2021	2021	NUM
fumecheng-10469	510	23	,	,	PUNCT
fumecheng-10469	510	24	nonlinear	nonlinear	ADJ
fumecheng-10469	510	25	vibration	vibration	NOUN
fumecheng-10469	510	26	of	of	ADP
fumecheng-10469	510	27	an	an	DET
fumecheng-10469	510	28	electrostatically	electrostatically	ADV
fumecheng-10469	510	29	actuated	actuate	VERB
fumecheng-10469	510	30	functionally	functionally	ADV
fumecheng-10469	510	31	graded	grade	VERB
fumecheng-10469	510	32	microbeam	microbeam	NOUN
fumecheng-10469	510	33	under	under	ADP
fumecheng-10469	510	34	longitudinal	longitudinal	ADJ
fumecheng-10469	510	35	magnetic	magnetic	ADJ
fumecheng-10469	510	36	field	field	NOUN
fumecheng-10469	510	37	,	,	PUNCT
fumecheng-10469	510	38	journal	journal	NOUN
fumecheng-10469	510	39	of	of	ADP
fumecheng-10469	510	40	applied	applied	ADJ
fumecheng-10469	510	41	and	and	CCONJ
fumecheng-10469	510	42	computational	computational	ADJ
fumecheng-10469	510	43	mechanics	mechanic	NOUN
fumecheng-10469	510	44	,	,	PUNCT
fumecheng-10469	510	45	7	7	NUM
fumecheng-10469	510	46	,	,	PUNCT
fumecheng-10469	510	47	pp	pp	ADJ
fumecheng-10469	510	48	.	.	PUNCT
fumecheng-10469	511	1	1537	1537	NUM
fumecheng-10469	511	2	-	-	SYM
fumecheng-10469	511	3	1549	1549	NUM
fumecheng-10469	511	4	.	.	PUNCT
fumecheng-10469	512	1	39	39	NUM
fumecheng-10469	512	2	.	.	PUNCT
fumecheng-10469	513	1	anjum	anjum	PROPN
fumecheng-10469	513	2	,	,	PUNCT
fumecheng-10469	513	3	n.	n.	PROPN
fumecheng-10469	513	4	,	,	PUNCT
fumecheng-10469	513	5	he	he	PRON
fumecheng-10469	513	6	,	,	PUNCT
fumecheng-10469	513	7	j	j	PROPN
fumecheng-10469	513	8	-	-	PROPN
fumecheng-10469	513	9	h.	h.	PROPN
fumecheng-10469	513	10	,	,	PUNCT
fumecheng-10469	513	11	ain	ain	PROPN
fumecheng-10469	513	12	,	,	PUNCT
fumecheng-10469	513	13	q.t	q.t	PROPN
fumecheng-10469	513	14	.	.	PROPN
fumecheng-10469	513	15	,	,	PUNCT
fumecheng-10469	513	16	tian	tian	PROPN
fumecheng-10469	513	17	,	,	PUNCT
fumecheng-10469	513	18	d.	d.	PROPN
fumecheng-10469	513	19	,	,	PUNCT
fumecheng-10469	513	20	2021	2021	NUM
fumecheng-10469	513	21	,	,	PUNCT
fumecheng-10469	513	22	li	li	PROPN
fumecheng-10469	513	23	-	-	PROPN
fumecheng-10469	513	24	he	he	PRON
fumecheng-10469	513	25	’s	’	VERB
fumecheng-10469	513	26	modified	modify	VERB
fumecheng-10469	513	27	homotopy	homotopy	NOUN
fumecheng-10469	513	28	perturbation	perturbation	NOUN
fumecheng-10469	513	29	method	method	NOUN
fumecheng-10469	513	30	for	for	ADP
fumecheng-10469	513	31	doublyclamped	doublyclampe	VERB
fumecheng-10469	513	32	electrically	electrically	ADV
fumecheng-10469	513	33	actuated	actuate	VERB
fumecheng-10469	513	34	microbeams	microbeam	NOUN
fumecheng-10469	513	35	-	-	PUNCT
fumecheng-10469	513	36	based	base	VERB
fumecheng-10469	513	37	microelectromechanical	microelectromechanical	ADJ
fumecheng-10469	513	38	system	system	NOUN
fumecheng-10469	513	39	,	,	PUNCT
fumecheng-10469	513	40	facta	facta	PROPN
fumecheng-10469	513	41	universitatis	universitatis	PROPN
fumecheng-10469	513	42	,	,	PUNCT
fumecheng-10469	513	43	series	series	NOUN
fumecheng-10469	513	44	:	:	PUNCT
fumecheng-10469	513	45	mechanical	mechanical	ADJ
fumecheng-10469	513	46	engineering	engineering	NOUN
fumecheng-10469	513	47	,	,	PUNCT
fumecheng-10469	513	48	19(4	19(4	PROPN
fumecheng-10469	513	49	)	)	PUNCT
fumecheng-10469	513	50	,	,	PUNCT
fumecheng-10469	514	1	pp	pp	PROPN
fumecheng-10469	514	2	.	.	PUNCT
fumecheng-10469	515	1	601	601	NUM
fumecheng-10469	515	2	-	-	NOUN
fumecheng-10469	515	3	612	612	NUM
fumecheng-10469	515	4	.	.	PUNCT
fumecheng-10469	516	1	40	40	NUM
fumecheng-10469	516	2	.	.	PUNCT
fumecheng-10469	517	1	abouelregal	abouelregal	ADJ
fumecheng-10469	517	2	,	,	PUNCT
fumecheng-10469	517	3	a.e	a.e	PROPN
fumecheng-10469	517	4	.	.	PROPN
fumecheng-10469	517	5	,	,	PUNCT
fumecheng-10469	517	6	mohammad	mohammad	PROPN
fumecheng-10469	517	7	-	-	PUNCT
fumecheng-10469	517	8	sedighi	sedighi	PROPN
fumecheng-10469	517	9	,	,	PUNCT
fumecheng-10469	517	10	h.	h.	PROPN
fumecheng-10469	517	11	,	,	PUNCT
fumecheng-10469	517	12	faghidian	faghidian	PROPN
fumecheng-10469	517	13	,	,	PUNCT
fumecheng-10469	517	14	s.a	s.a	PROPN
fumecheng-10469	517	15	.	.	PROPN
fumecheng-10469	517	16	,	,	PUNCT
fumecheng-10469	517	17	shirazi	shirazi	PROPN
fumecheng-10469	517	18	a.h	a.h	PROPN
fumecheng-10469	517	19	.	.	PROPN
fumecheng-10469	517	20	,	,	PUNCT
fumecheng-10469	517	21	temperature	temperature	NOUN
fumecheng-10469	517	22	-	-	PUNCT
fumecheng-10469	517	23	dependent	dependent	ADJ
fumecheng-10469	517	24	physical	physical	ADJ
fumecheng-10469	517	25	characteristics	characteristic	NOUN
fumecheng-10469	517	26	of	of	ADP
fumecheng-10469	517	27	the	the	DET
fumecheng-10469	517	28	rotating	rotate	VERB
fumecheng-10469	517	29	nonlocal	nonlocal	ADJ
fumecheng-10469	517	30	nanobeams	nanobeam	NOUN
fumecheng-10469	517	31	subject	subject	ADJ
fumecheng-10469	517	32	to	to	ADP
fumecheng-10469	517	33	a	a	DET
fumecheng-10469	517	34	varying	vary	VERB
fumecheng-10469	517	35	heat	heat	NOUN
fumecheng-10469	517	36	source	source	NOUN
fumecheng-10469	517	37	and	and	CCONJ
fumecheng-10469	517	38	a	a	DET
fumecheng-10469	517	39	dynamic	dynamic	ADJ
fumecheng-10469	517	40	load	load	NOUN
fumecheng-10469	517	41	,	,	PUNCT
fumecheng-10469	517	42	facta	facta	PROPN
fumecheng-10469	517	43	universitatis	universitatis	PROPN
fumecheng-10469	517	44	,	,	PUNCT
fumecheng-10469	517	45	series	series	NOUN
fumecheng-10469	517	46	:	:	PUNCT
fumecheng-10469	517	47	mechanical	mechanical	ADJ
fumecheng-10469	517	48	engineering	engineering	NOUN
fumecheng-10469	517	49	,	,	PUNCT
fumecheng-10469	517	50	19(4	19(4	PROPN
fumecheng-10469	517	51	)	)	PUNCT
fumecheng-10469	517	52	,	,	PUNCT
fumecheng-10469	517	53	pp	pp	ADP
fumecheng-10469	517	54	.	.	PUNCT
fumecheng-10469	518	1	633	633	NUM
fumecheng-10469	518	2	-	-	SYM
fumecheng-10469	518	3	656	656	NUM
fumecheng-10469	518	4	.	.	PUNCT
fumecheng-10469	519	1	41	41	NUM
fumecheng-10469	519	2	.	.	PUNCT
fumecheng-10469	520	1	goharimanesh	goharimanesh	PROPN
fumecheng-10469	520	2	,	,	PUNCT
fumecheng-10469	520	3	m.	m.	NOUN
fumecheng-10469	520	4	,	,	PUNCT
fumecheng-10469	520	5	koochi	koochi	PROPN
fumecheng-10469	520	6	,	,	PUNCT
fumecheng-10469	520	7	a.	a.	NOUN
fumecheng-10469	520	8	,	,	PUNCT
fumecheng-10469	520	9	2021	2021	NUM
fumecheng-10469	520	10	,	,	PUNCT
fumecheng-10469	520	11	nonlinear	nonlinear	ADJ
fumecheng-10469	520	12	oscillationsof	oscillationsof	NOUN
fumecheng-10469	520	13	cnt	cnt	X
fumecheng-10469	520	14	nano	nano	NOUN
fumecheng-10469	520	15	-	-	PUNCT
fumecheng-10469	520	16	resonator	resonator	NOUN
fumecheng-10469	520	17	based	base	VERB
fumecheng-10469	520	18	on	on	ADP
fumecheng-10469	520	19	nonlocal	nonlocal	ADJ
fumecheng-10469	520	20	elasticity	elasticity	NOUN
fumecheng-10469	520	21	:	:	PUNCT
fumecheng-10469	520	22	the	the	DET
fumecheng-10469	520	23	energy	energy	NOUN
fumecheng-10469	520	24	balance	balance	NOUN
fumecheng-10469	520	25	method	method	NOUN
fumecheng-10469	520	26	,	,	PUNCT
fumecheng-10469	520	27	reports	report	NOUN
fumecheng-10469	520	28	in	in	ADP
fumecheng-10469	520	29	mechanical	mechanical	ADJ
fumecheng-10469	520	30	engineering	engineering	NOUN
fumecheng-10469	520	31	,	,	PUNCT
fumecheng-10469	520	32	2	2	NUM
fumecheng-10469	520	33	,	,	PUNCT
fumecheng-10469	520	34	pp	pp	ADJ
fumecheng-10469	520	35	.	.	PUNCT
fumecheng-10469	521	1	41	41	NUM
fumecheng-10469	521	2	-	-	SYM
fumecheng-10469	521	3	50	50	NUM
fumecheng-10469	521	4	.	.	PUNCT
fumecheng-10469	522	1	42	42	NUM
fumecheng-10469	522	2	.	.	PUNCT
fumecheng-10469	523	1	wang	wang	PROPN
fumecheng-10469	523	2	,	,	PUNCT
fumecheng-10469	523	3	q.	q.	PROPN
fumecheng-10469	523	4	,	,	PUNCT
fumecheng-10469	523	5	varadan	varadan	PROPN
fumecheng-10469	523	6	,	,	PUNCT
fumecheng-10469	523	7	v.k	v.k	PROPN
fumecheng-10469	523	8	,	,	PUNCT
fumecheng-10469	523	9	2006	2006	NUM
fumecheng-10469	523	10	,	,	PUNCT
fumecheng-10469	523	11	vibration	vibration	NOUN
fumecheng-10469	523	12	of	of	ADP
fumecheng-10469	523	13	carbon	carbon	NOUN
fumecheng-10469	523	14	nanotubes	nanotube	NOUN
fumecheng-10469	523	15	studied	study	VERB
fumecheng-10469	523	16	using	use	VERB
fumecheng-10469	523	17	nonlocal	nonlocal	ADJ
fumecheng-10469	523	18	continuum	continuum	ADJ
fumecheng-10469	523	19	mechanics	mechanic	NOUN
fumecheng-10469	523	20	,	,	PUNCT
fumecheng-10469	523	21	smart	smart	ADJ
fumecheng-10469	523	22	materials	material	NOUN
fumecheng-10469	523	23	and	and	CCONJ
fumecheng-10469	523	24	structures	structure	NOUN
fumecheng-10469	523	25	,	,	PUNCT
fumecheng-10469	523	26	15(2	15(2	NUM
fumecheng-10469	523	27	)	)	PUNCT
fumecheng-10469	523	28	,	,	PUNCT
fumecheng-10469	523	29	pp	pp	ADJ
fumecheng-10469	523	30	.	.	PUNCT
fumecheng-10469	524	1	659–666	659–666	NUM
fumecheng-10469	524	2	.	.	PUNCT
fumecheng-10469	525	1	43	43	NUM
fumecheng-10469	525	2	.	.	PUNCT
fumecheng-10469	526	1	reddy	reddy	PROPN
fumecheng-10469	526	2	,	,	PUNCT
fumecheng-10469	526	3	j.n	j.n	PROPN
fumecheng-10469	526	4	.	.	PROPN
fumecheng-10469	526	5	,	,	PUNCT
fumecheng-10469	526	6	2007	2007	NUM
fumecheng-10469	526	7	,	,	PUNCT
fumecheng-10469	526	8	nonlocal	nonlocal	ADJ
fumecheng-10469	526	9	theories	theory	NOUN
fumecheng-10469	526	10	for	for	ADP
fumecheng-10469	526	11	bending	bend	VERB
fumecheng-10469	526	12	,	,	PUNCT
fumecheng-10469	526	13	buckling	buckling	NOUN
fumecheng-10469	526	14	and	and	CCONJ
fumecheng-10469	526	15	vibration	vibration	NOUN
fumecheng-10469	526	16	of	of	ADP
fumecheng-10469	526	17	beams	beam	NOUN
fumecheng-10469	526	18	,	,	PUNCT
fumecheng-10469	526	19	international	international	ADJ
fumecheng-10469	526	20	journal	journal	NOUN
fumecheng-10469	526	21	of	of	ADP
fumecheng-10469	526	22	engineering	engineering	NOUN
fumecheng-10469	526	23	science	science	NOUN
fumecheng-10469	526	24	,	,	PUNCT
fumecheng-10469	526	25	45	45	NUM
fumecheng-10469	526	26	,	,	PUNCT
fumecheng-10469	526	27	pp	pp	ADJ
fumecheng-10469	526	28	.	.	PUNCT
fumecheng-10469	527	1	288	288	NUM
fumecheng-10469	527	2	-	-	SYM
fumecheng-10469	527	3	307	307	NUM
fumecheng-10469	527	4	.	.	PUNCT
fumecheng-10469	528	1	44	44	NUM
fumecheng-10469	528	2	.	.	PUNCT
fumecheng-10469	529	1	wang	wang	PROPN
fumecheng-10469	529	2	,	,	PUNCT
fumecheng-10469	529	3	c.m	c.m	PROPN
fumecheng-10469	529	4	.	.	PROPN
fumecheng-10469	529	5	,	,	PUNCT
fumecheng-10469	529	6	zhang	zhang	PROPN
fumecheng-10469	529	7	,	,	PUNCT
fumecheng-10469	529	8	y.y	y.y	PROPN
fumecheng-10469	529	9	.	.	PROPN
fumecheng-10469	529	10	,	,	PUNCT
fumecheng-10469	529	11	he	he	PRON
fumecheng-10469	529	12	,	,	PUNCT
fumecheng-10469	529	13	x.q	x.q	PROPN
fumecheng-10469	529	14	,	,	PUNCT
fumecheng-10469	529	15	2007	2007	NUM
fumecheng-10469	529	16	,	,	PUNCT
fumecheng-10469	529	17	vibration	vibration	NOUN
fumecheng-10469	529	18	of	of	ADP
fumecheng-10469	529	19	nonlocal	nonlocal	ADJ
fumecheng-10469	529	20	timoshenko	timoshenko	ADJ
fumecheng-10469	529	21	beams	beam	NOUN
fumecheng-10469	529	22	,	,	PUNCT
fumecheng-10469	529	23	nanotechnology	nanotechnology	NOUN
fumecheng-10469	529	24	,	,	PUNCT
fumecheng-10469	529	25	18(10	18(10	NUM
fumecheng-10469	529	26	)	)	PUNCT
fumecheng-10469	529	27	,	,	PUNCT
fumecheng-10469	529	28	105401	105401	NUM
fumecheng-10469	529	29	.	.	PUNCT
fumecheng-10469	530	1	45	45	NUM
fumecheng-10469	530	2	.	.	X
fumecheng-10469	530	3	aydogdu	aydogdu	PROPN
fumecheng-10469	530	4	,	,	PUNCT
fumecheng-10469	530	5	m.	m.	NOUN
fumecheng-10469	530	6	,	,	PUNCT
fumecheng-10469	530	7	2009	2009	NUM
fumecheng-10469	530	8	,	,	PUNCT
fumecheng-10469	530	9	axial	axial	ADJ
fumecheng-10469	530	10	vibration	vibration	NOUN
fumecheng-10469	530	11	of	of	ADP
fumecheng-10469	530	12	the	the	DET
fumecheng-10469	530	13	nanorods	nanorod	NOUN
fumecheng-10469	530	14	with	with	ADP
fumecheng-10469	530	15	the	the	DET
fumecheng-10469	530	16	nonlocal	nonlocal	ADJ
fumecheng-10469	530	17	continuum	continuum	ADJ
fumecheng-10469	530	18	rod	rod	NOUN
fumecheng-10469	530	19	model	model	NOUN
fumecheng-10469	530	20	,	,	PUNCT
fumecheng-10469	530	21	physica	physica	NOUN
fumecheng-10469	530	22	e	e	NOUN
fumecheng-10469	530	23	:	:	PUNCT
fumecheng-10469	530	24	lowdimensional	lowdimensional	ADJ
fumecheng-10469	530	25	systems	system	NOUN
fumecheng-10469	530	26	and	and	CCONJ
fumecheng-10469	530	27	nanostructures	nanostructure	NOUN
fumecheng-10469	530	28	,	,	PUNCT
fumecheng-10469	530	29	41	41	NUM
fumecheng-10469	530	30	,	,	PUNCT
fumecheng-10469	530	31	pp	pp	ADJ
fumecheng-10469	530	32	.	.	PUNCT
fumecheng-10469	531	1	861	861	NUM
fumecheng-10469	531	2	-	-	SYM
fumecheng-10469	531	3	864	864	NUM
fumecheng-10469	531	4	.	.	PUNCT
fumecheng-10469	532	1	46	46	NUM
fumecheng-10469	532	2	.	.	PUNCT
fumecheng-10469	533	1	roque	roque	PROPN
fumecheng-10469	533	2	,	,	PUNCT
fumecheng-10469	533	3	c.m.c	c.m.c	PROPN
fumecheng-10469	533	4	.	.	PROPN
fumecheng-10469	533	5	,	,	PUNCT
fumecheng-10469	533	6	ferreira	ferreira	PROPN
fumecheng-10469	533	7	,	,	PUNCT
fumecheng-10469	533	8	a.j.m	a.j.m	NOUN
fumecheng-10469	533	9	.	.	PUNCT
fumecheng-10469	533	10	,	,	PUNCT
fumecheng-10469	533	11	reddy	reddy	PROPN
fumecheng-10469	533	12	,	,	PUNCT
fumecheng-10469	533	13	j.n	j.n	PROPN
fumecheng-10469	533	14	.	.	PROPN
fumecheng-10469	533	15	,	,	PUNCT
fumecheng-10469	533	16	2011	2011	NUM
fumecheng-10469	533	17	,	,	PUNCT
fumecheng-10469	533	18	analysis	analysis	NOUN
fumecheng-10469	533	19	of	of	ADP
fumecheng-10469	533	20	timoshenko	timoshenko	NOUN
fumecheng-10469	533	21	nanobeams	nanobeam	NOUN
fumecheng-10469	533	22	with	with	ADP
fumecheng-10469	533	23	a	a	DET
fumecheng-10469	533	24	nonlocal	nonlocal	ADJ
fumecheng-10469	533	25	formulation	formulation	NOUN
fumecheng-10469	533	26	and	and	CCONJ
fumecheng-10469	533	27	meshless	meshless	ADJ
fumecheng-10469	533	28	method	method	NOUN
fumecheng-10469	533	29	,	,	PUNCT
fumecheng-10469	533	30	international	international	ADJ
fumecheng-10469	533	31	journal	journal	NOUN
fumecheng-10469	533	32	of	of	ADP
fumecheng-10469	533	33	engineering	engineering	NOUN
fumecheng-10469	533	34	science	science	NOUN
fumecheng-10469	533	35	,	,	PUNCT
fumecheng-10469	533	36	49	49	NUM
fumecheng-10469	533	37	,	,	PUNCT
fumecheng-10469	533	38	pp	pp	ADJ
fumecheng-10469	533	39	.	.	PUNCT
fumecheng-10469	534	1	976	976	NUM
fumecheng-10469	534	2	-	-	SYM
fumecheng-10469	534	3	984	984	NUM
fumecheng-10469	534	4	.	.	PUNCT
fumecheng-10469	535	1	47	47	NUM
fumecheng-10469	535	2	.	.	PUNCT
fumecheng-10469	536	1	li	li	PROPN
fumecheng-10469	536	2	,	,	PUNCT
fumecheng-10469	536	3	c.	c.	PROPN
fumecheng-10469	536	4	,	,	PUNCT
fumecheng-10469	536	5	lim	lim	PROPN
fumecheng-10469	536	6	,	,	PUNCT
fumecheng-10469	536	7	c.w	c.w	PROPN
fumecheng-10469	536	8	.	.	PROPN
fumecheng-10469	536	9	,	,	PUNCT
fumecheng-10469	536	10	yu	yu	PROPN
fumecheng-10469	536	11	,	,	PUNCT
fumecheng-10469	536	12	j.l	j.l	PROPN
fumecheng-10469	536	13	.	.	PROPN
fumecheng-10469	536	14	,	,	PUNCT
fumecheng-10469	536	15	zeng	zeng	PROPN
fumecheng-10469	536	16	,	,	PUNCT
fumecheng-10469	536	17	q.c	q.c	PROPN
fumecheng-10469	536	18	.	.	PROPN
fumecheng-10469	536	19	,	,	PUNCT
fumecheng-10469	536	20	2011	2011	NUM
fumecheng-10469	536	21	,	,	PUNCT
fumecheng-10469	536	22	analytical	analytical	ADJ
fumecheng-10469	536	23	solutions	solution	NOUN
fumecheng-10469	536	24	for	for	ADP
fumecheng-10469	536	25	vibration	vibration	NOUN
fumecheng-10469	536	26	of	of	ADP
fumecheng-10469	536	27	simply	simply	ADV
fumecheng-10469	536	28	supported	support	VERB
fumecheng-10469	536	29	nonlocal	nonlocal	ADJ
fumecheng-10469	536	30	nanobeams	nanobeam	NOUN
fumecheng-10469	536	31	with	with	ADP
fumecheng-10469	536	32	an	an	DET
fumecheng-10469	536	33	axial	axial	ADJ
fumecheng-10469	536	34	force	force	NOUN
fumecheng-10469	536	35	,	,	PUNCT
fumecheng-10469	536	36	international	international	ADJ
fumecheng-10469	536	37	journal	journal	NOUN
fumecheng-10469	536	38	of	of	ADP
fumecheng-10469	536	39	structural	structural	ADJ
fumecheng-10469	536	40	stability	stability	NOUN
fumecheng-10469	536	41	and	and	CCONJ
fumecheng-10469	536	42	dynamics	dynamic	NOUN
fumecheng-10469	536	43	,	,	PUNCT
fumecheng-10469	536	44	11(02	11(02	NUM
fumecheng-10469	536	45	)	)	PUNCT
fumecheng-10469	536	46	,	,	PUNCT
fumecheng-10469	536	47	pp	pp	ADP
fumecheng-10469	536	48	.	.	PUNCT
fumecheng-10469	537	1	257–271	257–271	NUM
fumecheng-10469	537	2	.	.	PUNCT
fumecheng-10469	538	1	48	48	NUM
fumecheng-10469	538	2	.	.	PUNCT
fumecheng-10469	539	1	thai	thai	PROPN
fumecheng-10469	539	2	,	,	PUNCT
fumecheng-10469	539	3	h.t	h.t	PROPN
fumecheng-10469	539	4	.	.	PROPN
fumecheng-10469	539	5	,	,	PUNCT
fumecheng-10469	539	6	2012	2012	NUM
fumecheng-10469	539	7	,	,	PUNCT
fumecheng-10469	539	8	a	a	DET
fumecheng-10469	539	9	nonlocal	nonlocal	ADJ
fumecheng-10469	539	10	beam	beam	NOUN
fumecheng-10469	539	11	theory	theory	NOUN
fumecheng-10469	539	12	for	for	ADP
fumecheng-10469	539	13	bending	bend	VERB
fumecheng-10469	539	14	,	,	PUNCT
fumecheng-10469	539	15	buckling	buckling	NOUN
fumecheng-10469	539	16	,	,	PUNCT
fumecheng-10469	539	17	and	and	CCONJ
fumecheng-10469	539	18	vibration	vibration	NOUN
fumecheng-10469	539	19	of	of	ADP
fumecheng-10469	539	20	nanobeams	nanobeam	NOUN
fumecheng-10469	539	21	,	,	PUNCT
fumecheng-10469	539	22	international	international	ADJ
fumecheng-10469	539	23	journal	journal	NOUN
fumecheng-10469	539	24	of	of	ADP
fumecheng-10469	539	25	engineering	engineering	NOUN
fumecheng-10469	539	26	science	science	NOUN
fumecheng-10469	539	27	,	,	PUNCT
fumecheng-10469	539	28	52	52	NUM
fumecheng-10469	539	29	,	,	PUNCT
fumecheng-10469	539	30	pp	pp	ADJ
fumecheng-10469	539	31	.	.	PUNCT
fumecheng-10469	540	1	56–64	56–64	NUM
fumecheng-10469	540	2	.	.	NOUN
fumecheng-10469	540	3	49	49	NUM
fumecheng-10469	540	4	.	.	PUNCT
fumecheng-10469	541	1	thai	thai	PROPN
fumecheng-10469	541	2	,	,	PUNCT
fumecheng-10469	541	3	h.t	h.t	PROPN
fumecheng-10469	541	4	.	.	PROPN
fumecheng-10469	541	5	,	,	PUNCT
fumecheng-10469	541	6	vo	vo	PROPN
fumecheng-10469	541	7	,	,	PUNCT
fumecheng-10469	541	8	t.p	t.p	PROPN
fumecheng-10469	541	9	.	.	PROPN
fumecheng-10469	541	10	,	,	PUNCT
fumecheng-10469	541	11	2012	2012	NUM
fumecheng-10469	541	12	,	,	PUNCT
fumecheng-10469	541	13	a	a	DET
fumecheng-10469	541	14	nonlocal	nonlocal	ADJ
fumecheng-10469	541	15	sinusoidal	sinusoidal	ADJ
fumecheng-10469	541	16	shear	shear	NOUN
fumecheng-10469	541	17	deformation	deformation	NOUN
fumecheng-10469	541	18	beam	beam	NOUN
fumecheng-10469	541	19	theory	theory	NOUN
fumecheng-10469	541	20	with	with	ADP
fumecheng-10469	541	21	application	application	NOUN
fumecheng-10469	541	22	to	to	ADP
fumecheng-10469	541	23	bending	bend	VERB
fumecheng-10469	541	24	,	,	PUNCT
fumecheng-10469	541	25	buckling	buckling	NOUN
fumecheng-10469	541	26	,	,	PUNCT
fumecheng-10469	541	27	and	and	CCONJ
fumecheng-10469	541	28	vibration	vibration	NOUN
fumecheng-10469	541	29	of	of	ADP
fumecheng-10469	541	30	nanobeams	nanobeam	NOUN
fumecheng-10469	541	31	,	,	PUNCT
fumecheng-10469	541	32	international	international	ADJ
fumecheng-10469	541	33	journal	journal	NOUN
fumecheng-10469	541	34	of	of	ADP
fumecheng-10469	541	35	engineering	engineering	NOUN
fumecheng-10469	541	36	science	science	NOUN
fumecheng-10469	541	37	,	,	PUNCT
fumecheng-10469	541	38	54	54	NUM
fumecheng-10469	541	39	,	,	PUNCT
fumecheng-10469	541	40	pp	pp	ADJ
fumecheng-10469	541	41	.	.	PUNCT
fumecheng-10469	541	42	58–66	58–66	NUM
fumecheng-10469	541	43	.	.	PUNCT
fumecheng-10469	541	44	50	50	NUM
fumecheng-10469	541	45	.	.	PUNCT
fumecheng-10469	542	1	ke	ke	NOUN
fumecheng-10469	542	2	,	,	PUNCT
fumecheng-10469	542	3	l.-l	l.-l	PROPN
fumecheng-10469	542	4	.	.	PUNCT
fumecheng-10469	542	5	,	,	PUNCT
fumecheng-10469	542	6	wang	wang	PROPN
fumecheng-10469	542	7	,	,	PUNCT
fumecheng-10469	542	8	y.-s	y.-s	PROPN
fumecheng-10469	542	9	.	.	PUNCT
fumecheng-10469	542	10	,	,	PUNCT
fumecheng-10469	542	11	wang	wang	PROPN
fumecheng-10469	542	12	,	,	PUNCT
fumecheng-10469	542	13	z.-d	z.-d	PROPN
fumecheng-10469	542	14	.	.	PUNCT
fumecheng-10469	542	15	,	,	PUNCT
fumecheng-10469	542	16	2012	2012	NUM
fumecheng-10469	542	17	,	,	PUNCT
fumecheng-10469	542	18	nonlinear	nonlinear	ADJ
fumecheng-10469	542	19	vibration	vibration	NOUN
fumecheng-10469	542	20	of	of	ADP
fumecheng-10469	542	21	the	the	DET
fumecheng-10469	542	22	piezoelectric	piezoelectric	NOUN
fumecheng-10469	542	23	nanobeams	nanobeam	NOUN
fumecheng-10469	542	24	based	base	VERB
fumecheng-10469	542	25	on	on	ADP
fumecheng-10469	542	26	the	the	DET
fumecheng-10469	542	27	nonlocal	nonlocal	ADJ
fumecheng-10469	542	28	theory	theory	NOUN
fumecheng-10469	542	29	,	,	PUNCT
fumecheng-10469	542	30	composite	composite	ADJ
fumecheng-10469	542	31	structures	structure	NOUN
fumecheng-10469	542	32	,	,	PUNCT
fumecheng-10469	542	33	94	94	NUM
fumecheng-10469	542	34	,	,	PUNCT
fumecheng-10469	542	35	pp	pp	ADJ
fumecheng-10469	542	36	.	.	PUNCT
fumecheng-10469	543	1	2038–2047	2038–2047	NUM
fumecheng-10469	543	2	.	.	PUNCT
fumecheng-10469	544	1	51	51	NUM
fumecheng-10469	544	2	.	.	PUNCT
fumecheng-10469	545	1	eltaher	eltaher	PROPN
fumecheng-10469	545	2	,	,	PUNCT
fumecheng-10469	545	3	m.a	m.a	PROPN
fumecheng-10469	545	4	.	.	PROPN
fumecheng-10469	545	5	,	,	PUNCT
fumecheng-10469	545	6	emam	emam	PROPN
fumecheng-10469	545	7	,	,	PUNCT
fumecheng-10469	545	8	s.a	s.a	PROPN
fumecheng-10469	545	9	.	.	PROPN
fumecheng-10469	545	10	,	,	PUNCT
fumecheng-10469	545	11	mahmoud	mahmoud	PROPN
fumecheng-10469	545	12	,	,	PUNCT
fumecheng-10469	545	13	f.f	f.f	PROPN
fumecheng-10469	545	14	.	.	PROPN
fumecheng-10469	545	15	,	,	PUNCT
fumecheng-10469	545	16	2012	2012	NUM
fumecheng-10469	545	17	,	,	PUNCT
fumecheng-10469	545	18	free	free	ADJ
fumecheng-10469	545	19	vibration	vibration	NOUN
fumecheng-10469	545	20	analysis	analysis	NOUN
fumecheng-10469	545	21	of	of	ADP
fumecheng-10469	545	22	functionally	functionally	ADV
fumecheng-10469	545	23	graded	grade	VERB
fumecheng-10469	545	24	sizedependent	sizedependent	NOUN
fumecheng-10469	545	25	nanobeams	nanobeam	NOUN
fumecheng-10469	545	26	,	,	PUNCT
fumecheng-10469	545	27	applied	apply	VERB
fumecheng-10469	545	28	mathematics	mathematic	NOUN
fumecheng-10469	545	29	and	and	CCONJ
fumecheng-10469	545	30	computation	computation	NOUN
fumecheng-10469	545	31	,	,	PUNCT
fumecheng-10469	545	32	218(14	218(14	NUM
fumecheng-10469	545	33	)	)	PUNCT
fumecheng-10469	545	34	,	,	PUNCT
fumecheng-10469	545	35	pp	pp	ADP
fumecheng-10469	545	36	.	.	PUNCT
fumecheng-10469	546	1	7406–7420	7406–7420	NUM
fumecheng-10469	546	2	.	.	PUNCT
fumecheng-10469	547	1	52	52	NUM
fumecheng-10469	547	2	.	.	PUNCT
fumecheng-10469	548	1	berrabah	berrabah	PROPN
fumecheng-10469	548	2	,	,	PUNCT
fumecheng-10469	548	3	h.m	h.m	PROPN
fumecheng-10469	548	4	.	.	PROPN
fumecheng-10469	548	5	,	,	PUNCT
fumecheng-10469	548	6	tounsi	tounsi	NOUN
fumecheng-10469	548	7	,	,	PUNCT
fumecheng-10469	548	8	a.	a.	NOUN
fumecheng-10469	548	9	,	,	PUNCT
fumecheng-10469	548	10	semmah	semmah	PROPN
fumecheng-10469	548	11	,	,	PUNCT
fumecheng-10469	548	12	a.	a.	PROPN
fumecheng-10469	548	13	,	,	PUNCT
fumecheng-10469	548	14	adda	adda	PROPN
fumecheng-10469	548	15	bedia	bedia	PROPN
fumecheng-10469	548	16	,	,	PUNCT
fumecheng-10469	548	17	e.a	e.a	PROPN
fumecheng-10469	548	18	.	.	PROPN
fumecheng-10469	548	19	,	,	PUNCT
fumecheng-10469	548	20	2013	2013	NUM
fumecheng-10469	548	21	,	,	PUNCT
fumecheng-10469	548	22	comparison	comparison	NOUN
fumecheng-10469	548	23	of	of	ADP
fumecheng-10469	548	24	various	various	ADJ
fumecheng-10469	548	25	refined	refined	ADJ
fumecheng-10469	548	26	nonlocal	nonlocal	ADJ
fumecheng-10469	548	27	beam	beam	NOUN
fumecheng-10469	548	28	theories	theory	NOUN
fumecheng-10469	548	29	for	for	ADP
fumecheng-10469	548	30	bending	bend	VERB
fumecheng-10469	548	31	,	,	PUNCT
fumecheng-10469	548	32	vibration	vibration	NOUN
fumecheng-10469	548	33	and	and	CCONJ
fumecheng-10469	548	34	buckling	buckle	VERB
fumecheng-10469	548	35	analysis	analysis	NOUN
fumecheng-10469	548	36	of	of	ADP
fumecheng-10469	548	37	nanobeams	nanobeam	NOUN
fumecheng-10469	548	38	,	,	PUNCT
fumecheng-10469	548	39	structural	structural	ADJ
fumecheng-10469	548	40	engineering	engineering	NOUN
fumecheng-10469	548	41	and	and	CCONJ
fumecheng-10469	548	42	mechanics	mechanic	NOUN
fumecheng-10469	548	43	,	,	PUNCT
fumecheng-10469	548	44	48(3	48(3	NOUN
fumecheng-10469	548	45	)	)	PUNCT
fumecheng-10469	548	46	,	,	PUNCT
fumecheng-10469	548	47	pp	pp	ADP
fumecheng-10469	548	48	.	.	PUNCT
fumecheng-10469	549	1	351–365	351–365	NUM
fumecheng-10469	549	2	.	.	PUNCT
fumecheng-10469	550	1	478	478	NUM
fumecheng-10469	550	2	p.	p.	NOUN
fumecheng-10469	550	3	jankowski	jankowski	PROPN
fumecheng-10469	550	4	53	53	NUM
fumecheng-10469	550	5	.	.	PUNCT
fumecheng-10469	551	1	şimşek	şimşek	NOUN
fumecheng-10469	551	2	,	,	PUNCT
fumecheng-10469	551	3	m.	m.	NOUN
fumecheng-10469	551	4	,	,	PUNCT
fumecheng-10469	551	5	2014	2014	NUM
fumecheng-10469	551	6	,	,	PUNCT
fumecheng-10469	551	7	large	large	ADJ
fumecheng-10469	551	8	amplitude	amplitude	NOUN
fumecheng-10469	551	9	free	free	ADJ
fumecheng-10469	551	10	vibration	vibration	NOUN
fumecheng-10469	551	11	of	of	ADP
fumecheng-10469	551	12	nanobeams	nanobeam	NOUN
fumecheng-10469	551	13	with	with	ADP
fumecheng-10469	551	14	various	various	ADJ
fumecheng-10469	551	15	boundary	boundary	ADJ
fumecheng-10469	551	16	conditions	condition	NOUN
fumecheng-10469	551	17	based	base	VERB
fumecheng-10469	551	18	on	on	ADP
fumecheng-10469	551	19	the	the	DET
fumecheng-10469	551	20	nonlocal	nonlocal	ADJ
fumecheng-10469	551	21	elasticity	elasticity	NOUN
fumecheng-10469	551	22	theory	theory	NOUN
fumecheng-10469	551	23	,	,	PUNCT
fumecheng-10469	551	24	composites	composite	VERB
fumecheng-10469	551	25	part	part	NOUN
fumecheng-10469	551	26	b	b	NOUN
fumecheng-10469	551	27	:	:	PUNCT
fumecheng-10469	551	28	engineering	engineering	NOUN
fumecheng-10469	551	29	,	,	PUNCT
fumecheng-10469	551	30	56	56	NUM
fumecheng-10469	551	31	,	,	PUNCT
fumecheng-10469	551	32	pp	pp	ADJ
fumecheng-10469	551	33	.	.	PUNCT
fumecheng-10469	552	1	621	621	NUM
fumecheng-10469	552	2	-	-	SYM
fumecheng-10469	552	3	628	628	NUM
fumecheng-10469	552	4	.	.	PUNCT
fumecheng-10469	553	1	54	54	NUM
fumecheng-10469	553	2	.	.	NUM
fumecheng-10469	554	1	rahmani	rahmani	PROPN
fumecheng-10469	554	2	,	,	PUNCT
fumecheng-10469	554	3	o.	o.	INTJ
fumecheng-10469	554	4	,	,	PUNCT
fumecheng-10469	554	5	pedram	pedram	PROPN
fumecheng-10469	554	6	,	,	PUNCT
fumecheng-10469	554	7	o.	o.	NOUN
fumecheng-10469	554	8	,	,	PUNCT
fumecheng-10469	554	9	2014	2014	NUM
fumecheng-10469	554	10	,	,	PUNCT
fumecheng-10469	554	11	analysis	analysis	NOUN
fumecheng-10469	554	12	and	and	CCONJ
fumecheng-10469	554	13	modeling	model	VERB
fumecheng-10469	554	14	the	the	DET
fumecheng-10469	554	15	size	size	NOUN
fumecheng-10469	554	16	effect	effect	NOUN
fumecheng-10469	554	17	on	on	ADP
fumecheng-10469	554	18	vibration	vibration	NOUN
fumecheng-10469	554	19	of	of	ADP
fumecheng-10469	554	20	functionally	functionally	ADV
fumecheng-10469	554	21	graded	grade	VERB
fumecheng-10469	554	22	nanobeams	nanobeam	NOUN
fumecheng-10469	554	23	based	base	VERB
fumecheng-10469	554	24	on	on	ADP
fumecheng-10469	554	25	nonlocal	nonlocal	ADJ
fumecheng-10469	554	26	timoshenko	timoshenko	ADJ
fumecheng-10469	554	27	beam	beam	NOUN
fumecheng-10469	554	28	theory	theory	NOUN
fumecheng-10469	554	29	,	,	PUNCT
fumecheng-10469	554	30	international	international	ADJ
fumecheng-10469	554	31	journal	journal	NOUN
fumecheng-10469	554	32	of	of	ADP
fumecheng-10469	554	33	engineering	engineering	NOUN
fumecheng-10469	554	34	science	science	NOUN
fumecheng-10469	554	35	,	,	PUNCT
fumecheng-10469	554	36	77	77	NUM
fumecheng-10469	554	37	,	,	PUNCT
fumecheng-10469	554	38	pp	pp	ADJ
fumecheng-10469	554	39	.	.	PUNCT
fumecheng-10469	555	1	55	55	NUM
fumecheng-10469	555	2	-	-	SYM
fumecheng-10469	555	3	70	70	NUM
fumecheng-10469	555	4	.	.	PUNCT
fumecheng-10469	556	1	55	55	NUM
fumecheng-10469	556	2	.	.	PUNCT
fumecheng-10469	557	1	nejad	nejad	PROPN
fumecheng-10469	557	2	,	,	PUNCT
fumecheng-10469	557	3	m.z	m.z	PROPN
fumecheng-10469	557	4	.	.	PROPN
fumecheng-10469	557	5	,	,	PUNCT
fumecheng-10469	557	6	hadi	hadi	PROPN
fumecheng-10469	557	7	,	,	PUNCT
fumecheng-10469	557	8	a.	a.	NOUN
fumecheng-10469	557	9	,	,	PUNCT
fumecheng-10469	557	10	2016	2016	NUM
fumecheng-10469	557	11	,	,	PUNCT
fumecheng-10469	557	12	non	non	ADJ
fumecheng-10469	557	13	-	-	ADJ
fumecheng-10469	557	14	local	local	ADJ
fumecheng-10469	557	15	analysis	analysis	NOUN
fumecheng-10469	557	16	of	of	ADP
fumecheng-10469	557	17	free	free	ADJ
fumecheng-10469	557	18	vibration	vibration	NOUN
fumecheng-10469	557	19	of	of	ADP
fumecheng-10469	557	20	bi	bi	ADJ
fumecheng-10469	557	21	-	-	ADJ
fumecheng-10469	557	22	directional	directional	ADJ
fumecheng-10469	557	23	functionally	functionally	ADV
fumecheng-10469	557	24	graded	grade	VERB
fumecheng-10469	557	25	eulerbernoulli	eulerbernoulli	NOUN
fumecheng-10469	557	26	nano	nano	NOUN
fumecheng-10469	557	27	-	-	PUNCT
fumecheng-10469	557	28	beams	beam	NOUN
fumecheng-10469	557	29	,	,	PUNCT
fumecheng-10469	557	30	international	international	ADJ
fumecheng-10469	557	31	journal	journal	NOUN
fumecheng-10469	557	32	of	of	ADP
fumecheng-10469	557	33	engineering	engineering	NOUN
fumecheng-10469	557	34	science	science	NOUN
fumecheng-10469	557	35	,	,	PUNCT
fumecheng-10469	557	36	105	105	NUM
fumecheng-10469	557	37	,	,	PUNCT
fumecheng-10469	557	38	pp	pp	PROPN
fumecheng-10469	557	39	.	.	PUNCT
fumecheng-10469	558	1	1–11	1–11	PROPN
fumecheng-10469	558	2	.	.	PUNCT
fumecheng-10469	559	1	56	56	NUM
fumecheng-10469	559	2	.	.	PUNCT
fumecheng-10469	559	3	beni	beni	PROPN
fumecheng-10469	559	4	,	,	PUNCT
fumecheng-10469	559	5	y.t	y.t	PROPN
fumecheng-10469	559	6	.	.	PROPN
fumecheng-10469	559	7	,	,	PUNCT
fumecheng-10469	559	8	2016	2016	NUM
fumecheng-10469	559	9	,	,	PUNCT
fumecheng-10469	559	10	a	a	DET
fumecheng-10469	559	11	nonlinear	nonlinear	ADJ
fumecheng-10469	559	12	electro	electro	ADJ
fumecheng-10469	559	13	-	-	PUNCT
fumecheng-10469	559	14	mechanical	mechanical	ADJ
fumecheng-10469	559	15	analysis	analysis	NOUN
fumecheng-10469	559	16	of	of	ADP
fumecheng-10469	559	17	nanobeams	nanobeam	NOUN
fumecheng-10469	559	18	based	base	VERB
fumecheng-10469	559	19	on	on	ADP
fumecheng-10469	559	20	the	the	DET
fumecheng-10469	559	21	size	size	NOUN
fumecheng-10469	559	22	-	-	PUNCT
fumecheng-10469	559	23	dependent	dependent	ADJ
fumecheng-10469	559	24	piezoelectricity	piezoelectricity	NOUN
fumecheng-10469	559	25	theory	theory	NOUN
fumecheng-10469	559	26	,	,	PUNCT
fumecheng-10469	559	27	journal	journal	NOUN
fumecheng-10469	559	28	of	of	ADP
fumecheng-10469	559	29	mechanics	mechanic	NOUN
fumecheng-10469	559	30	,	,	PUNCT
fumecheng-10469	559	31	33	33	NUM
fumecheng-10469	559	32	,	,	PUNCT
fumecheng-10469	559	33	pp	pp	ADJ
fumecheng-10469	559	34	.	.	PUNCT
fumecheng-10469	560	1	289–301	289–301	NUM
fumecheng-10469	560	2	.	.	PUNCT
fumecheng-10469	561	1	57	57	NUM
fumecheng-10469	561	2	.	.	X
fumecheng-10469	562	1	arefi	arefi	PROPN
fumecheng-10469	562	2	,	,	PUNCT
fumecheng-10469	562	3	m.	m.	NOUN
fumecheng-10469	562	4	,	,	PUNCT
fumecheng-10469	562	5	zenkour	zenkour	NOUN
fumecheng-10469	562	6	,	,	PUNCT
fumecheng-10469	562	7	a.m.	a.m.	ADV
fumecheng-10469	562	8	,	,	PUNCT
fumecheng-10469	562	9	2017	2017	NUM
fumecheng-10469	562	10	,	,	PUNCT
fumecheng-10469	562	11	size	size	NOUN
fumecheng-10469	562	12	-	-	PUNCT
fumecheng-10469	562	13	dependent	dependent	ADJ
fumecheng-10469	562	14	vibration	vibration	NOUN
fumecheng-10469	562	15	and	and	CCONJ
fumecheng-10469	562	16	bending	bend	VERB
fumecheng-10469	562	17	analyses	analysis	NOUN
fumecheng-10469	562	18	of	of	ADP
fumecheng-10469	562	19	the	the	DET
fumecheng-10469	562	20	piezomagnetic	piezomagnetic	ADJ
fumecheng-10469	562	21	threelayer	threelayer	NOUN
fumecheng-10469	562	22	nanobeams	nanobeam	NOUN
fumecheng-10469	562	23	,	,	PUNCT
fumecheng-10469	562	24	applied	apply	VERB
fumecheng-10469	562	25	physics	physics	PROPN
fumecheng-10469	562	26	a	a	NOUN
fumecheng-10469	562	27	,	,	PUNCT
fumecheng-10469	562	28	123	123	NUM
fumecheng-10469	562	29	,	,	PUNCT
fumecheng-10469	562	30	202	202	NUM
fumecheng-10469	562	31	.	.	PUNCT
fumecheng-10469	563	1	58	58	NUM
fumecheng-10469	563	2	.	.	PUNCT
fumecheng-10469	564	1	lu	lu	PROPN
fumecheng-10469	564	2	,	,	PUNCT
fumecheng-10469	564	3	l.	l.	PROPN
fumecheng-10469	564	4	,	,	PUNCT
fumecheng-10469	564	5	guo	guo	PROPN
fumecheng-10469	564	6	,	,	PUNCT
fumecheng-10469	564	7	x.	x.	PROPN
fumecheng-10469	564	8	,	,	PUNCT
fumecheng-10469	564	9	zhao	zhao	PROPN
fumecheng-10469	564	10	,	,	PUNCT
fumecheng-10469	564	11	j.	j.	PROPN
fumecheng-10469	564	12	,	,	PUNCT
fumecheng-10469	564	13	2017	2017	NUM
fumecheng-10469	564	14	,	,	PUNCT
fumecheng-10469	564	15	size	size	NOUN
fumecheng-10469	564	16	-	-	PUNCT
fumecheng-10469	564	17	dependent	dependent	ADJ
fumecheng-10469	564	18	vibration	vibration	NOUN
fumecheng-10469	564	19	analysis	analysis	NOUN
fumecheng-10469	564	20	of	of	ADP
fumecheng-10469	564	21	nanobeams	nanobeam	NOUN
fumecheng-10469	564	22	based	base	VERB
fumecheng-10469	564	23	on	on	ADP
fumecheng-10469	564	24	the	the	DET
fumecheng-10469	564	25	nonlocal	nonlocal	ADJ
fumecheng-10469	564	26	strain	strain	NOUN
fumecheng-10469	564	27	gradient	gradient	NOUN
fumecheng-10469	564	28	theory	theory	NOUN
fumecheng-10469	564	29	,	,	PUNCT
fumecheng-10469	564	30	international	international	ADJ
fumecheng-10469	564	31	journal	journal	NOUN
fumecheng-10469	564	32	of	of	ADP
fumecheng-10469	564	33	engineering	engineering	NOUN
fumecheng-10469	564	34	science	science	NOUN
fumecheng-10469	564	35	,	,	PUNCT
fumecheng-10469	564	36	116	116	NUM
fumecheng-10469	564	37	,	,	PUNCT
fumecheng-10469	564	38	pp	pp	ADJ
fumecheng-10469	564	39	.	.	PUNCT
fumecheng-10469	565	1	12–24	12–24	NUM
fumecheng-10469	565	2	.	.	PUNCT
fumecheng-10469	566	1	59	59	NUM
fumecheng-10469	566	2	.	.	PUNCT
fumecheng-10469	567	1	liu	liu	PROPN
fumecheng-10469	567	2	,	,	PUNCT
fumecheng-10469	567	3	h.	h.	PROPN
fumecheng-10469	567	4	,	,	PUNCT
fumecheng-10469	567	5	liu	liu	PROPN
fumecheng-10469	567	6	,	,	PUNCT
fumecheng-10469	567	7	h.	h.	PROPN
fumecheng-10469	567	8	,	,	PUNCT
fumecheng-10469	567	9	yang	yang	PROPN
fumecheng-10469	567	10	,	,	PUNCT
fumecheng-10469	567	11	j.	j.	PROPN
fumecheng-10469	567	12	,	,	PUNCT
fumecheng-10469	567	13	2018	2018	NUM
fumecheng-10469	567	14	,	,	PUNCT
fumecheng-10469	567	15	vibration	vibration	NOUN
fumecheng-10469	567	16	of	of	ADP
fumecheng-10469	567	17	fg	fg	PROPN
fumecheng-10469	567	18	magneto	magneto	PROPN
fumecheng-10469	567	19	-	-	PUNCT
fumecheng-10469	567	20	electro	electro	VERB
fumecheng-10469	567	21	-	-	PUNCT
fumecheng-10469	567	22	viscoelastic	viscoelastic	ADJ
fumecheng-10469	567	23	porous	porous	ADJ
fumecheng-10469	567	24	nanobeams	nanobeam	NOUN
fumecheng-10469	567	25	on	on	ADP
fumecheng-10469	567	26	viscopasternak	viscopasternak	PROPN
fumecheng-10469	567	27	foundation	foundation	PROPN
fumecheng-10469	567	28	,	,	PUNCT
fumecheng-10469	567	29	composites	composite	VERB
fumecheng-10469	567	30	part	part	NOUN
fumecheng-10469	567	31	b	b	NOUN
fumecheng-10469	567	32	:	:	PUNCT
fumecheng-10469	567	33	engineering	engineering	NOUN
fumecheng-10469	567	34	,	,	PUNCT
fumecheng-10469	567	35	155	155	NUM
fumecheng-10469	567	36	,	,	PUNCT
fumecheng-10469	567	37	pp	pp	ADJ
fumecheng-10469	567	38	.	.	PUNCT
fumecheng-10469	568	1	244–256	244–256	NUM
fumecheng-10469	568	2	.	.	PUNCT
fumecheng-10469	569	1	60	60	NUM
fumecheng-10469	569	2	.	.	PUNCT
fumecheng-10469	570	1	thai	thai	PROPN
fumecheng-10469	570	2	,	,	PUNCT
fumecheng-10469	570	3	s.	s.	PROPN
fumecheng-10469	570	4	,	,	PUNCT
fumecheng-10469	570	5	thai	thai	PROPN
fumecheng-10469	570	6	,	,	PUNCT
fumecheng-10469	570	7	h.t	h.t	PROPN
fumecheng-10469	570	8	.	.	PROPN
fumecheng-10469	570	9	,	,	PUNCT
fumecheng-10469	570	10	vo	vo	PROPN
fumecheng-10469	570	11	,	,	PUNCT
fumecheng-10469	570	12	t.p	t.p	PROPN
fumecheng-10469	570	13	.	.	PROPN
fumecheng-10469	570	14	,	,	PUNCT
fumecheng-10469	570	15	patel	patel	PROPN
fumecheng-10469	570	16	,	,	PUNCT
fumecheng-10469	570	17	v.i	v.i	PROPN
fumecheng-10469	570	18	.	.	PROPN
fumecheng-10469	570	19	,	,	PUNCT
fumecheng-10469	570	20	2018	2018	NUM
fumecheng-10469	570	21	,	,	PUNCT
fumecheng-10469	570	22	a	a	DET
fumecheng-10469	570	23	simple	simple	ADJ
fumecheng-10469	570	24	shear	shear	NOUN
fumecheng-10469	570	25	deformation	deformation	NOUN
fumecheng-10469	570	26	theory	theory	NOUN
fumecheng-10469	570	27	for	for	ADP
fumecheng-10469	570	28	nonlocal	nonlocal	ADJ
fumecheng-10469	570	29	beams	beam	NOUN
fumecheng-10469	570	30	,	,	PUNCT
fumecheng-10469	570	31	composite	composite	ADJ
fumecheng-10469	570	32	structures	structure	NOUN
fumecheng-10469	570	33	,	,	PUNCT
fumecheng-10469	570	34	183	183	NUM
fumecheng-10469	570	35	,	,	PUNCT
fumecheng-10469	570	36	pp	pp	ADJ
fumecheng-10469	570	37	.	.	PUNCT
fumecheng-10469	571	1	262–270	262–270	NUM
fumecheng-10469	571	2	.	.	PUNCT
fumecheng-10469	572	1	61	61	NUM
fumecheng-10469	572	2	.	.	PUNCT
fumecheng-10469	572	3	karami	karami	PROPN
fumecheng-10469	572	4	,	,	PUNCT
fumecheng-10469	572	5	b.	b.	PROPN
fumecheng-10469	572	6	,	,	PUNCT
fumecheng-10469	572	7	janghorban	janghorban	PROPN
fumecheng-10469	572	8	,	,	PUNCT
fumecheng-10469	572	9	m.	m.	NOUN
fumecheng-10469	572	10	,	,	PUNCT
fumecheng-10469	572	11	2019	2019	NUM
fumecheng-10469	572	12	,	,	PUNCT
fumecheng-10469	572	13	a	a	DET
fumecheng-10469	572	14	new	new	ADJ
fumecheng-10469	572	15	size	size	NOUN
fumecheng-10469	572	16	-	-	PUNCT
fumecheng-10469	572	17	dependent	dependent	ADJ
fumecheng-10469	572	18	shear	shear	NOUN
fumecheng-10469	572	19	deformation	deformation	NOUN
fumecheng-10469	572	20	theory	theory	NOUN
fumecheng-10469	572	21	for	for	ADP
fumecheng-10469	572	22	free	free	ADJ
fumecheng-10469	572	23	vibration	vibration	NOUN
fumecheng-10469	572	24	analysis	analysis	NOUN
fumecheng-10469	572	25	of	of	ADP
fumecheng-10469	572	26	functionally	functionally	ADV
fumecheng-10469	572	27	graded	grade	VERB
fumecheng-10469	572	28	/	/	SYM
fumecheng-10469	572	29	anisotropic	anisotropic	NOUN
fumecheng-10469	572	30	nanobeams	nanobeam	NOUN
fumecheng-10469	572	31	,	,	PUNCT
fumecheng-10469	572	32	thin	thin	ADJ
fumecheng-10469	572	33	-	-	PUNCT
fumecheng-10469	572	34	walled	walled	ADJ
fumecheng-10469	572	35	structures	structure	NOUN
fumecheng-10469	572	36	,	,	PUNCT
fumecheng-10469	572	37	143	143	NUM
fumecheng-10469	572	38	,	,	PUNCT
fumecheng-10469	572	39	106227	106227	NUM
fumecheng-10469	572	40	.	.	PUNCT
fumecheng-10469	573	1	62	62	NUM
fumecheng-10469	573	2	.	.	PUNCT
fumecheng-10469	574	1	liu	liu	PROPN
fumecheng-10469	574	2	,	,	PUNCT
fumecheng-10469	574	3	h.	h.	PROPN
fumecheng-10469	574	4	,	,	PUNCT
fumecheng-10469	574	5	lv	lv	PROPN
fumecheng-10469	574	6	,	,	PUNCT
fumecheng-10469	574	7	z.	z.	PROPN
fumecheng-10469	574	8	,	,	PUNCT
fumecheng-10469	574	9	wu	wu	PROPN
fumecheng-10469	574	10	,	,	PUNCT
fumecheng-10469	574	11	h.	h.	PROPN
fumecheng-10469	574	12	,	,	PUNCT
fumecheng-10469	574	13	2019	2019	NUM
fumecheng-10469	574	14	,	,	PUNCT
fumecheng-10469	574	15	nonlinear	nonlinear	ADJ
fumecheng-10469	574	16	free	free	ADJ
fumecheng-10469	574	17	vibration	vibration	NOUN
fumecheng-10469	574	18	of	of	ADP
fumecheng-10469	574	19	geometrically	geometrically	ADV
fumecheng-10469	574	20	imperfect	imperfect	ADJ
fumecheng-10469	574	21	functionally	functionally	ADV
fumecheng-10469	574	22	graded	grade	VERB
fumecheng-10469	574	23	sandwich	sandwich	NOUN
fumecheng-10469	574	24	nanobeams	nanobeam	NOUN
fumecheng-10469	574	25	based	base	VERB
fumecheng-10469	574	26	on	on	ADP
fumecheng-10469	574	27	nonlocal	nonlocal	ADJ
fumecheng-10469	574	28	strain	strain	NOUN
fumecheng-10469	574	29	gradient	gradient	NOUN
fumecheng-10469	574	30	theory	theory	NOUN
fumecheng-10469	574	31	,	,	PUNCT
fumecheng-10469	574	32	composite	composite	ADJ
fumecheng-10469	574	33	structures	structure	NOUN
fumecheng-10469	574	34	,	,	PUNCT
fumecheng-10469	574	35	214	214	NUM
fumecheng-10469	574	36	,	,	PUNCT
fumecheng-10469	574	37	pp	pp	ADJ
fumecheng-10469	574	38	.	.	PUNCT
fumecheng-10469	575	1	47–61	47–61	NUM
fumecheng-10469	575	2	.	.	PUNCT
fumecheng-10469	576	1	63	63	NUM
fumecheng-10469	576	2	.	.	PUNCT
fumecheng-10469	577	1	jankowski	jankowski	PROPN
fumecheng-10469	577	2	,	,	PUNCT
fumecheng-10469	577	3	p.	p.	PROPN
fumecheng-10469	577	4	,	,	PUNCT
fumecheng-10469	577	5	żur	żur	PROPN
fumecheng-10469	577	6	,	,	PUNCT
fumecheng-10469	577	7	k.k	k.k	PROPN
fumecheng-10469	577	8	.	.	PROPN
fumecheng-10469	577	9	,	,	PUNCT
fumecheng-10469	577	10	kim	kim	PROPN
fumecheng-10469	577	11	,	,	PUNCT
fumecheng-10469	577	12	j.	j.	PROPN
fumecheng-10469	577	13	,	,	PUNCT
fumecheng-10469	577	14	reddy	reddy	PROPN
fumecheng-10469	577	15	,	,	PUNCT
fumecheng-10469	577	16	j.n	j.n	PROPN
fumecheng-10469	577	17	.	.	PROPN
fumecheng-10469	577	18	,	,	PUNCT
fumecheng-10469	577	19	2020	2020	NUM
fumecheng-10469	577	20	,	,	PUNCT
fumecheng-10469	577	21	on	on	ADP
fumecheng-10469	577	22	the	the	DET
fumecheng-10469	577	23	bifurcation	bifurcation	NOUN
fumecheng-10469	577	24	buckling	buckling	NOUN
fumecheng-10469	577	25	and	and	CCONJ
fumecheng-10469	577	26	vibration	vibration	NOUN
fumecheng-10469	577	27	of	of	ADP
fumecheng-10469	577	28	porous	porous	ADJ
fumecheng-10469	577	29	nanobeams	nanobeam	NOUN
fumecheng-10469	577	30	,	,	PUNCT
fumecheng-10469	577	31	composite	composite	ADJ
fumecheng-10469	577	32	structures	structure	NOUN
fumecheng-10469	577	33	,	,	PUNCT
fumecheng-10469	577	34	250	250	NUM
fumecheng-10469	577	35	,	,	PUNCT
fumecheng-10469	577	36	112632	112632	NUM
fumecheng-10469	577	37	.	.	PUNCT
fumecheng-10469	578	1	64	64	NUM
fumecheng-10469	578	2	.	.	PUNCT
fumecheng-10469	579	1	jankowski	jankowski	PROPN
fumecheng-10469	579	2	,	,	PUNCT
fumecheng-10469	579	3	p.	p.	PROPN
fumecheng-10469	579	4	,	,	PUNCT
fumecheng-10469	579	5	żur	żur	PROPN
fumecheng-10469	579	6	,	,	PUNCT
fumecheng-10469	579	7	k.k	k.k	PROPN
fumecheng-10469	579	8	.	.	PROPN
fumecheng-10469	579	9	,	,	PUNCT
fumecheng-10469	579	10	farajpour	farajpour	ADJ
fumecheng-10469	579	11	,	,	PUNCT
fumecheng-10469	579	12	a.	a.	NOUN
fumecheng-10469	579	13	,	,	PUNCT
fumecheng-10469	579	14	2022	2022	NUM
fumecheng-10469	579	15	,	,	PUNCT
fumecheng-10469	579	16	analytical	analytical	ADJ
fumecheng-10469	579	17	and	and	CCONJ
fumecheng-10469	579	18	meshless	meshless	ADJ
fumecheng-10469	579	19	dqm	dqm	NOUN
fumecheng-10469	579	20	approaches	approach	NOUN
fumecheng-10469	579	21	to	to	ADP
fumecheng-10469	579	22	free	free	ADJ
fumecheng-10469	579	23	vibration	vibration	NOUN
fumecheng-10469	579	24	analysis	analysis	NOUN
fumecheng-10469	579	25	of	of	ADP
fumecheng-10469	579	26	symmetric	symmetric	ADJ
fumecheng-10469	579	27	fgm	fgm	PROPN
fumecheng-10469	579	28	porous	porous	ADJ
fumecheng-10469	579	29	nanobeams	nanobeam	NOUN
fumecheng-10469	579	30	with	with	ADP
fumecheng-10469	579	31	piezoelectric	piezoelectric	ADJ
fumecheng-10469	579	32	effect	effect	NOUN
fumecheng-10469	579	33	,	,	PUNCT
fumecheng-10469	579	34	engineering	engineer	VERB
fumecheng-10469	579	35	analysis	analysis	NOUN
fumecheng-10469	579	36	with	with	ADP
fumecheng-10469	579	37	boundary	boundary	ADJ
fumecheng-10469	579	38	elements	element	NOUN
fumecheng-10469	579	39	,	,	PUNCT
fumecheng-10469	579	40	136	136	NUM
fumecheng-10469	579	41	,	,	PUNCT
fumecheng-10469	579	42	pp	pp	ADJ
fumecheng-10469	579	43	.	.	PUNCT
fumecheng-10469	580	1	266	266	NUM
fumecheng-10469	580	2	-	-	SYM
fumecheng-10469	580	3	289	289	NUM
fumecheng-10469	580	4	.	.	PUNCT
fumecheng-10469	581	1	65	65	NUM
fumecheng-10469	581	2	.	.	PUNCT
fumecheng-10469	582	1	nasr	nasr	PROPN
fumecheng-10469	582	2	,	,	PUNCT
fumecheng-10469	582	3	m.e	m.e	PROPN
fumecheng-10469	582	4	.	.	PROPN
fumecheng-10469	582	5	,	,	PUNCT
fumecheng-10469	582	6	abouelregal	abouelregal	PROPN
fumecheng-10469	582	7	,	,	PUNCT
fumecheng-10469	582	8	a.e	a.e	PROPN
fumecheng-10469	582	9	.	.	PROPN
fumecheng-10469	582	10	,	,	PUNCT
fumecheng-10469	582	11	soleiman	soleiman	NOUN
fumecheng-10469	582	12	,	,	PUNCT
fumecheng-10469	582	13	a.	a.	PROPN
fumecheng-10469	582	14	,	,	PUNCT
fumecheng-10469	582	15	khalil	khalil	PROPN
fumecheng-10469	582	16	,	,	PUNCT
fumecheng-10469	582	17	k.m	k.m	PROPN
fumecheng-10469	582	18	.	.	PROPN
fumecheng-10469	582	19	,	,	PUNCT
fumecheng-10469	582	20	2021	2021	NUM
fumecheng-10469	582	21	,	,	PUNCT
fumecheng-10469	582	22	thermoelastic	thermoelastic	ADJ
fumecheng-10469	582	23	vibrations	vibration	NOUN
fumecheng-10469	582	24	of	of	ADP
fumecheng-10469	582	25	nonlocal	nonlocal	ADJ
fumecheng-10469	582	26	nanobeams	nanobeam	NOUN
fumecheng-10469	582	27	resting	rest	VERB
fumecheng-10469	582	28	on	on	ADP
fumecheng-10469	582	29	a	a	DET
fumecheng-10469	582	30	pasternak	pasternak	PROPN
fumecheng-10469	582	31	foundation	foundation	PROPN
fumecheng-10469	582	32	via	via	ADP
fumecheng-10469	582	33	dpl	dpl	PROPN
fumecheng-10469	582	34	model	model	PROPN
fumecheng-10469	582	35	,	,	PUNCT
fumecheng-10469	582	36	journal	journal	NOUN
fumecheng-10469	582	37	of	of	ADP
fumecheng-10469	582	38	applied	applied	ADJ
fumecheng-10469	582	39	and	and	CCONJ
fumecheng-10469	582	40	computational	computational	ADJ
fumecheng-10469	582	41	mechanics	mechanic	NOUN
fumecheng-10469	582	42	,	,	PUNCT
fumecheng-10469	582	43	7	7	NUM
fumecheng-10469	582	44	,	,	PUNCT
fumecheng-10469	582	45	pp	pp	ADJ
fumecheng-10469	582	46	.	.	PUNCT
fumecheng-10469	583	1	34	34	NUM
fumecheng-10469	583	2	-	-	SYM
fumecheng-10469	583	3	44	44	NUM
fumecheng-10469	583	4	.	.	PUNCT
fumecheng-10469	584	1	66	66	NUM
fumecheng-10469	584	2	.	.	PUNCT
fumecheng-10469	585	1	abdelrahman	abdelrahman	PROPN
fumecheng-10469	585	2	,	,	PUNCT
fumecheng-10469	585	3	a.a	a.a	PROPN
fumecheng-10469	585	4	.	.	PROPN
fumecheng-10469	585	5	,	,	PUNCT
fumecheng-10469	585	6	esen	esen	PROPN
fumecheng-10469	585	7	,	,	PUNCT
fumecheng-10469	585	8	i.	i.	NOUN
fumecheng-10469	585	9	,	,	PUNCT
fumecheng-10469	585	10	özarpa	özarpa	PROPN
fumecheng-10469	585	11	,	,	PUNCT
fumecheng-10469	585	12	c.	c.	PROPN
fumecheng-10469	585	13	,	,	PUNCT
fumecheng-10469	585	14	eltaher	eltaher	PROPN
fumecheng-10469	585	15	,	,	PUNCT
fumecheng-10469	585	16	m.a	m.a	PROPN
fumecheng-10469	585	17	.	.	PROPN
fumecheng-10469	585	18	,	,	PUNCT
fumecheng-10469	585	19	2021	2021	NUM
fumecheng-10469	585	20	,	,	PUNCT
fumecheng-10469	585	21	dynamics	dynamic	NOUN
fumecheng-10469	585	22	of	of	ADP
fumecheng-10469	585	23	perforated	perforate	VERB
fumecheng-10469	585	24	nanobeams	nanobeam	NOUN
fumecheng-10469	585	25	subject	subject	ADJ
fumecheng-10469	585	26	to	to	ADP
fumecheng-10469	585	27	moving	move	VERB
fumecheng-10469	585	28	mass	mass	NOUN
fumecheng-10469	585	29	using	use	VERB
fumecheng-10469	585	30	the	the	DET
fumecheng-10469	585	31	nonlocal	nonlocal	ADJ
fumecheng-10469	585	32	strain	strain	NOUN
fumecheng-10469	585	33	gradient	gradient	NOUN
fumecheng-10469	585	34	theory	theory	NOUN
fumecheng-10469	585	35	,	,	PUNCT
fumecheng-10469	585	36	applied	apply	VERB
fumecheng-10469	585	37	mathematical	mathematical	ADJ
fumecheng-10469	585	38	modelling	modelling	NOUN
fumecheng-10469	585	39	,	,	PUNCT
fumecheng-10469	585	40	96	96	NUM
fumecheng-10469	585	41	,	,	PUNCT
fumecheng-10469	585	42	pp	pp	ADJ
fumecheng-10469	585	43	.	.	PUNCT
fumecheng-10469	586	1	215–235	215–235	NUM
fumecheng-10469	586	2	.	.	PUNCT
fumecheng-10469	587	1	67	67	NUM
fumecheng-10469	587	2	.	.	PUNCT
fumecheng-10469	588	1	wang	wang	PROPN
fumecheng-10469	588	2	,	,	PUNCT
fumecheng-10469	588	3	q.	q.	PROPN
fumecheng-10469	588	4	,	,	PUNCT
fumecheng-10469	588	5	2002	2002	NUM
fumecheng-10469	588	6	,	,	PUNCT
fumecheng-10469	588	7	on	on	ADP
fumecheng-10469	588	8	buckling	buckling	NOUN
fumecheng-10469	588	9	of	of	ADP
fumecheng-10469	588	10	column	column	NOUN
fumecheng-10469	588	11	structures	structure	NOUN
fumecheng-10469	588	12	with	with	ADP
fumecheng-10469	588	13	a	a	DET
fumecheng-10469	588	14	pair	pair	NOUN
fumecheng-10469	588	15	of	of	ADP
fumecheng-10469	588	16	piezoelectric	piezoelectric	ADJ
fumecheng-10469	588	17	layers	layer	NOUN
fumecheng-10469	588	18	,	,	PUNCT
fumecheng-10469	588	19	engineering	engineering	NOUN
fumecheng-10469	588	20	structures	structure	NOUN
fumecheng-10469	588	21	,	,	PUNCT
fumecheng-10469	588	22	24	24	NUM
fumecheng-10469	588	23	,	,	PUNCT
fumecheng-10469	588	24	pp	pp	ADJ
fumecheng-10469	588	25	.	.	PUNCT
fumecheng-10469	589	1	199	199	NUM
fumecheng-10469	589	2	-	-	SYM
fumecheng-10469	589	3	205	205	NUM
fumecheng-10469	589	4	.	.	PUNCT
fumecheng-10469	590	1	68	68	NUM
fumecheng-10469	590	2	.	.	PUNCT
fumecheng-10469	591	1	reddy	reddy	PROPN
fumecheng-10469	591	2	,	,	PUNCT
fumecheng-10469	591	3	j.n	j.n	PROPN
fumecheng-10469	591	4	.	.	PROPN
fumecheng-10469	591	5	,	,	PUNCT
fumecheng-10469	591	6	2007	2007	NUM
fumecheng-10469	591	7	,	,	PUNCT
fumecheng-10469	591	8	energy	energy	NOUN
fumecheng-10469	591	9	principles	principle	NOUN
fumecheng-10469	591	10	and	and	CCONJ
fumecheng-10469	591	11	variational	variational	ADJ
fumecheng-10469	591	12	methods	method	NOUN
fumecheng-10469	591	13	in	in	ADP
fumecheng-10469	591	14	applied	applied	ADJ
fumecheng-10469	591	15	mechanics	mechanic	NOUN
fumecheng-10469	591	16	,	,	PUNCT
fumecheng-10469	591	17	john	john	PROPN
fumecheng-10469	591	18	wiley	wiley	PROPN
fumecheng-10469	591	19	&	&	CCONJ
fumecheng-10469	591	20	sons	sons	PROPN
fumecheng-10469	591	21	,	,	PUNCT
fumecheng-10469	591	22	usa	usa	PROPN
fumecheng-10469	591	23	.	.	PROPN
fumecheng-10469	591	24	69	69	NUM
fumecheng-10469	591	25	.	.	PUNCT
fumecheng-10469	592	1	thai	thai	PROPN
fumecheng-10469	592	2	,	,	PUNCT
fumecheng-10469	592	3	h.t	h.t	PROPN
fumecheng-10469	592	4	.	.	PROPN
fumecheng-10469	592	5	,	,	PUNCT
fumecheng-10469	592	6	vo	vo	PROPN
fumecheng-10469	592	7	,	,	PUNCT
fumecheng-10469	592	8	t.p	t.p	PROPN
fumecheng-10469	592	9	.	.	PROPN
fumecheng-10469	592	10	,	,	PUNCT
fumecheng-10469	592	11	nguyen	nguyen	PROPN
fumecheng-10469	592	12	,	,	PUNCT
fumecheng-10469	592	13	t.k	t.k	PROPN
fumecheng-10469	592	14	.	.	PROPN
fumecheng-10469	592	15	,	,	PUNCT
fumecheng-10469	592	16	kim	kim	PROPN
fumecheng-10469	592	17	,	,	PUNCT
fumecheng-10469	592	18	s.e	s.e	PROPN
fumecheng-10469	592	19	.	.	PROPN
fumecheng-10469	592	20	,	,	PUNCT
fumecheng-10469	592	21	2017	2017	NUM
fumecheng-10469	592	22	,	,	PUNCT
fumecheng-10469	592	23	a	a	DET
fumecheng-10469	592	24	review	review	NOUN
fumecheng-10469	592	25	of	of	ADP
fumecheng-10469	592	26	continuum	continuum	ADJ
fumecheng-10469	592	27	mechanics	mechanic	NOUN
fumecheng-10469	592	28	models	model	NOUN
fumecheng-10469	592	29	for	for	ADP
fumecheng-10469	592	30	sizedependent	sizedependent	NOUN
fumecheng-10469	592	31	analysis	analysis	NOUN
fumecheng-10469	592	32	of	of	ADP
fumecheng-10469	592	33	beams	beam	NOUN
fumecheng-10469	592	34	and	and	CCONJ
fumecheng-10469	592	35	plates	plate	NOUN
fumecheng-10469	592	36	,	,	PUNCT
fumecheng-10469	592	37	composite	composite	ADJ
fumecheng-10469	592	38	structures	structure	NOUN
fumecheng-10469	592	39	,	,	PUNCT
fumecheng-10469	592	40	177	177	NUM
fumecheng-10469	592	41	,	,	PUNCT
fumecheng-10469	592	42	pp	pp	ADJ
fumecheng-10469	592	43	.	.	PUNCT
fumecheng-10469	593	1	196	196	NUM
fumecheng-10469	593	2	-	-	SYM
fumecheng-10469	593	3	219	219	NUM
fumecheng-10469	593	4	70	70	NUM
fumecheng-10469	593	5	.	.	PUNCT
fumecheng-10469	594	1	ghavanloo	ghavanloo	PROPN
fumecheng-10469	594	2	,	,	PUNCT
fumecheng-10469	594	3	e.	e.	PROPN
fumecheng-10469	594	4	,	,	PUNCT
fumecheng-10469	594	5	fazelzadeh	fazelzadeh	PROPN
fumecheng-10469	594	6	s.a	s.a	PROPN
fumecheng-10469	594	7	.	.	PROPN
fumecheng-10469	594	8	,	,	PUNCT
fumecheng-10469	594	9	2016	2016	NUM
fumecheng-10469	594	10	,	,	PUNCT
fumecheng-10469	594	11	evaluation	evaluation	NOUN
fumecheng-10469	594	12	of	of	ADP
fumecheng-10469	594	13	nonlocal	nonlocal	ADJ
fumecheng-10469	594	14	parameter	parameter	NOUN
fumecheng-10469	594	15	for	for	ADP
fumecheng-10469	594	16	single	single	ADJ
fumecheng-10469	594	17	-	-	PUNCT
fumecheng-10469	594	18	walled	wall	VERB
fumecheng-10469	594	19	carbon	carbon	NOUN
fumecheng-10469	594	20	nanotubes	nanotube	NOUN
fumecheng-10469	594	21	with	with	ADP
fumecheng-10469	594	22	arbitrary	arbitrary	ADJ
fumecheng-10469	594	23	chirality	chirality	NOUN
fumecheng-10469	594	24	,	,	PUNCT
fumecheng-10469	594	25	meccanica	meccanica	PROPN
fumecheng-10469	594	26	,	,	PUNCT
fumecheng-10469	594	27	51	51	NUM
fumecheng-10469	594	28	,	,	PUNCT
fumecheng-10469	594	29	pp	pp	ADJ
fumecheng-10469	594	30	.	.	PUNCT
fumecheng-10469	595	1	41	41	NUM
fumecheng-10469	595	2	-	-	SYM
fumecheng-10469	595	3	54	54	NUM
fumecheng-10469	595	4	.	.	PUNCT
fumecheng-10469	596	1	71	71	NUM
fumecheng-10469	596	2	.	.	X
fumecheng-10469	597	1	zhang	zhang	PROPN
fumecheng-10469	597	2	,	,	PUNCT
fumecheng-10469	597	3	z.	z.	PROPN
fumecheng-10469	597	4	,	,	PUNCT
fumecheng-10469	597	5	wang	wang	PROPN
fumecheng-10469	597	6	,	,	PUNCT
fumecheng-10469	597	7	c.m	c.m	PROPN
fumecheng-10469	597	8	.	.	PROPN
fumecheng-10469	597	9	,	,	PUNCT
fumecheng-10469	597	10	challamel	challamel	ADJ
fumecheng-10469	597	11	,	,	PUNCT
fumecheng-10469	597	12	n.	n.	NOUN
fumecheng-10469	597	13	,	,	PUNCT
fumecheng-10469	597	14	2014	2014	NUM
fumecheng-10469	597	15	,	,	PUNCT
fumecheng-10469	597	16	eringen	eringen	PROPN
fumecheng-10469	597	17	’s	’s	PART
fumecheng-10469	597	18	length	length	NOUN
fumecheng-10469	597	19	scale	scale	NOUN
fumecheng-10469	597	20	coefficient	coefficient	NOUN
fumecheng-10469	597	21	for	for	ADP
fumecheng-10469	597	22	buckling	buckling	NOUN
fumecheng-10469	597	23	of	of	ADP
fumecheng-10469	597	24	nonlocal	nonlocal	ADJ
fumecheng-10469	597	25	rectangular	rectangular	ADJ
fumecheng-10469	597	26	plates	plate	NOUN
fumecheng-10469	597	27	from	from	ADP
fumecheng-10469	597	28	microstructured	microstructured	ADJ
fumecheng-10469	597	29	beam	beam	NOUN
fumecheng-10469	597	30	-	-	PUNCT
fumecheng-10469	597	31	grid	grid	NOUN
fumecheng-10469	597	32	model	model	NOUN
fumecheng-10469	597	33	,	,	PUNCT
fumecheng-10469	597	34	international	international	ADJ
fumecheng-10469	597	35	journal	journal	NOUN
fumecheng-10469	597	36	of	of	ADP
fumecheng-10469	597	37	solids	solid	NOUN
fumecheng-10469	597	38	and	and	CCONJ
fumecheng-10469	597	39	structures	structure	NOUN
fumecheng-10469	597	40	,	,	PUNCT
fumecheng-10469	597	41	51	51	NUM
fumecheng-10469	597	42	,	,	PUNCT
fumecheng-10469	597	43	pp	pp	ADJ
fumecheng-10469	597	44	.	.	PUNCT
fumecheng-10469	597	45	4307	4307	NUM
fumecheng-10469	597	46	-	-	SYM
fumecheng-10469	597	47	4315	4315	NUM
fumecheng-10469	597	48	.	.	PUNCT
fumecheng-10469	598	1	72	72	NUM
fumecheng-10469	598	2	.	.	PUNCT
fumecheng-10469	599	1	mehralian	mehralian	PROPN
fumecheng-10469	599	2	,	,	PUNCT
fumecheng-10469	599	3	f.	f.	PROPN
fumecheng-10469	599	4	,	,	PUNCT
fumecheng-10469	599	5	beni	beni	PROPN
fumecheng-10469	599	6	,	,	PUNCT
fumecheng-10469	599	7	y.t	y.t	PROPN
fumecheng-10469	599	8	.	.	PROPN
fumecheng-10469	599	9	,	,	PUNCT
fumecheng-10469	599	10	zeverdejani	zeverdejani	NOUN
fumecheng-10469	599	11	,	,	PUNCT
fumecheng-10469	599	12	m.k	m.k	PROPN
fumecheng-10469	599	13	.	.	PROPN
fumecheng-10469	599	14	,	,	PUNCT
fumecheng-10469	599	15	2017	2017	NUM
fumecheng-10469	599	16	,	,	PUNCT
fumecheng-10469	599	17	calibration	calibration	NOUN
fumecheng-10469	599	18	of	of	ADP
fumecheng-10469	599	19	nonlocal	nonlocal	ADJ
fumecheng-10469	599	20	strain	strain	NOUN
fumecheng-10469	599	21	gradient	gradient	ADJ
fumecheng-10469	599	22	shell	shell	NOUN
fumecheng-10469	599	23	model	model	NOUN
fumecheng-10469	599	24	for	for	ADP
fumecheng-10469	599	25	buckling	buckle	VERB
fumecheng-10469	599	26	analysis	analysis	NOUN
fumecheng-10469	599	27	of	of	ADP
fumecheng-10469	599	28	nanotubes	nanotube	NOUN
fumecheng-10469	599	29	using	use	VERB
fumecheng-10469	599	30	molecular	molecular	ADJ
fumecheng-10469	599	31	dynamics	dynamic	NOUN
fumecheng-10469	599	32	simulations	simulation	NOUN
fumecheng-10469	599	33	,	,	PUNCT
fumecheng-10469	599	34	physica	physica	NOUN
fumecheng-10469	599	35	b	b	PROPN
fumecheng-10469	599	36	:	:	PUNCT
fumecheng-10469	599	37	condensed	condense	VERB
fumecheng-10469	599	38	matter	matter	NOUN
fumecheng-10469	599	39	,	,	PUNCT
fumecheng-10469	599	40	521	521	NUM
fumecheng-10469	599	41	,	,	PUNCT
fumecheng-10469	599	42	pp	pp	ADJ
fumecheng-10469	599	43	.	.	PUNCT
fumecheng-10469	600	1	102	102	NUM
fumecheng-10469	600	2	-	-	SYM
fumecheng-10469	600	3	111	111	NUM
fumecheng-10469	600	4	.	.	PUNCT