id	sid	tid	token	lemma	pos
can-202	1	1	characterization	characterization	NOUN
can-202	1	2	and	and	CCONJ
can-202	1	3	application	application	NOUN
can-202	1	4	of	of	ADP
can-202	1	5	nanomaterials	nanomaterial	NOUN
can-202	1	6	(	(	PUNCT
can-202	1	7	2018	2018	NUM
can-202	1	8	)	)	PUNCT
can-202	1	9	volume	volume	NOUN
can-202	1	10	1	1	NUM
can-202	1	11	doi:10.24294	doi:10.24294	NOUN
can-202	1	12	/	/	SYM
can-202	1	13	can.v1i2.202	can.v1i2.202	PROPN
can-202	1	14	1	1	NUM
can-202	1	15	comparison	comparison	NOUN
can-202	1	16	between	between	ADP
can-202	1	17	using	use	VERB
can-202	1	18	generalized	generalized	ADJ
can-202	1	19	differential	differential	ADJ
can-202	1	20	quadrature	quadrature	NOUN
can-202	1	21	method	method	NOUN
can-202	1	22	and	and	CCONJ
can-202	1	23	analytical	analytical	ADJ
can-202	1	24	solution	solution	NOUN
can-202	1	25	in	in	ADP
can-202	1	26	analyzing	analyze	VERB
can-202	1	27	vibration	vibration	NOUN
can-202	1	28	behavior	behavior	NOUN
can-202	1	29	of	of	ADP
can-202	1	30	nonuniform	nonuniform	ADJ
can-202	1	31	nanobeam	nanobeam	NOUN
can-202	1	32	systems	system	NOUN
can-202	1	33	hessam	hessam	PROPN
can-202	1	34	bakhshi	bakhshi	PROPN
can-202	1	35	khaniki1	khaniki1	PROPN
can-202	1	36	,	,	PUNCT
can-202	1	37	shahrokh	shahrokh	VERB
can-202	1	38	hosseini	hosseini	PROPN
can-202	1	39	hashemi	hashemi	PROPN
can-202	1	40	2	2	NUM
can-202	1	41	,	,	PUNCT
can-202	1	42	hossein	hossein	PROPN
can-202	1	43	bakhshi	bakhshi	PROPN
can-202	1	44	khaniki2	khaniki2	PROPN
can-202	1	45	,	,	PUNCT
can-202	1	46	*	*	PROPN
can-202	1	47	1	1	NUM
can-202	1	48	department	department	NOUN
can-202	1	49	of	of	ADP
can-202	1	50	industrial	industrial	ADJ
can-202	1	51	engineering	engineering	NOUN
can-202	1	52	,	,	PUNCT
can-202	1	53	sharif	sharif	PROPN
can-202	1	54	university	university	PROPN
can-202	1	55	of	of	ADP
can-202	1	56	technology	technology	PROPN
can-202	1	57	,	,	PUNCT
can-202	1	58	tehran	tehran	PROPN
can-202	1	59	,	,	PUNCT
can-202	1	60	iran	iran	PROPN
can-202	1	61	2	2	NUM
can-202	1	62	school	school	NOUN
can-202	1	63	of	of	ADP
can-202	1	64	mechanical	mechanical	ADJ
can-202	1	65	engineering	engineering	NOUN
can-202	1	66	,	,	PUNCT
can-202	1	67	iran	iran	PROPN
can-202	1	68	university	university	PROPN
can-202	1	69	of	of	ADP
can-202	1	70	science	science	NOUN
can-202	1	71	and	and	CCONJ
can-202	1	72	technology	technology	NOUN
can-202	1	73	,	,	PUNCT
can-202	1	74	tehran	tehran	PROPN
can-202	1	75	,	,	PUNCT
can-202	1	76	iran	iran	PROPN
can-202	2	1	abstract	abstract	ADV
can-202	2	2	in	in	ADP
can-202	2	3	this	this	DET
can-202	2	4	article	article	NOUN
can-202	2	5	,	,	PUNCT
can-202	2	6	generalized	generalized	ADJ
can-202	2	7	differential	differential	ADJ
can-202	2	8	quadrature	quadrature	NOUN
can-202	2	9	method	method	NOUN
can-202	2	10	(	(	PUNCT
can-202	2	11	gdqm	gdqm	NOUN
can-202	2	12	)	)	PUNCT
can-202	2	13	is	be	AUX
can-202	2	14	used	use	VERB
can-202	2	15	to	to	PART
can-202	2	16	study	study	VERB
can-202	2	17	the	the	DET
can-202	2	18	free	free	ADJ
can-202	2	19	vibrational	vibrational	ADJ
can-202	2	20	behavior	behavior	NOUN
can-202	2	21	of	of	ADP
can-202	2	22	variable	variable	PROPN
can-202	2	23	cross	cross	PROPN
can-202	2	24	section	section	PROPN
can-202	2	25	nano	nano	NOUN
can-202	2	26	beams	beam	NOUN
can-202	2	27	.	.	PUNCT
can-202	3	1	eringen	eringen	PROPN
can-202	3	2	's	's	PART
can-202	3	3	nonlocal	nonlocal	ADJ
can-202	3	4	elastic	elastic	ADJ
can-202	3	5	theory	theory	NOUN
can-202	3	6	is	be	AUX
can-202	3	7	taken	take	VERB
can-202	3	8	into	into	ADP
can-202	3	9	account	account	NOUN
can-202	3	10	to	to	PART
can-202	3	11	model	model	VERB
can-202	3	12	the	the	DET
can-202	3	13	small	small	ADJ
can-202	3	14	scale	scale	NOUN
can-202	3	15	effects	effect	NOUN
can-202	3	16	and	and	CCONJ
can-202	3	17	nonuniformity	nonuniformity	NOUN
can-202	3	18	is	be	AUX
can-202	3	19	assumed	assume	VERB
can-202	3	20	by	by	ADP
can-202	3	21	exponentially	exponentially	ADV
can-202	3	22	varying	vary	VERB
can-202	3	23	the	the	DET
can-202	3	24	width	width	NOUN
can-202	3	25	of	of	ADP
can-202	3	26	nano	nano	NOUN
can-202	3	27	beam	beam	NOUN
can-202	3	28	.	.	PUNCT
can-202	4	1	governing	govern	VERB
can-202	4	2	equation	equation	NOUN
can-202	4	3	of	of	ADP
can-202	4	4	motion	motion	NOUN
can-202	4	5	is	be	AUX
can-202	4	6	solved	solve	VERB
can-202	4	7	using	use	VERB
can-202	4	8	generalized	generalized	ADJ
can-202	4	9	differential	differential	ADJ
can-202	4	10	quadrature	quadrature	NOUN
can-202	4	11	method	method	NOUN
can-202	4	12	with	with	ADP
can-202	4	13	different	different	ADJ
can-202	4	14	numbers	number	NOUN
can-202	4	15	of	of	ADP
can-202	4	16	sampling	sample	VERB
can-202	4	17	points	point	NOUN
can-202	4	18	.	.	PUNCT
can-202	5	1	effects	effect	NOUN
can-202	5	2	of	of	ADP
can-202	5	3	increasing	increase	VERB
can-202	5	4	the	the	DET
can-202	5	5	sampling	sample	VERB
can-202	5	6	points	point	NOUN
can-202	5	7	in	in	ADP
can-202	5	8	reaching	reach	VERB
can-202	5	9	more	more	ADV
can-202	5	10	accurate	accurate	ADJ
can-202	5	11	results	result	NOUN
can-202	5	12	for	for	ADP
can-202	5	13	first	first	ADJ
can-202	5	14	three	three	NUM
can-202	5	15	frequency	frequency	NOUN
can-202	5	16	parameters	parameter	NOUN
can-202	5	17	are	be	AUX
can-202	5	18	presented	present	VERB
can-202	5	19	and	and	CCONJ
can-202	5	20	it	it	PRON
can-202	5	21	is	be	AUX
can-202	5	22	shown	show	VERB
can-202	5	23	that	that	SCONJ
can-202	5	24	after	after	ADP
can-202	5	25	a	a	DET
can-202	5	26	specific	specific	ADJ
can-202	5	27	number	number	NOUN
can-202	5	28	of	of	ADP
can-202	5	29	sampling	sample	VERB
can-202	5	30	points	point	NOUN
can-202	5	31	,	,	PUNCT
can-202	5	32	results	result	NOUN
can-202	5	33	merge	merge	VERB
can-202	5	34	to	to	ADP
can-202	5	35	a	a	DET
can-202	5	36	certain	certain	ADJ
can-202	5	37	accurate	accurate	ADJ
can-202	5	38	number	number	NOUN
can-202	5	39	.	.	PUNCT
can-202	6	1	it	it	PRON
can-202	6	2	is	be	AUX
can-202	6	3	concluded	conclude	VERB
can-202	6	4	that	that	SCONJ
can-202	6	5	generalized	generalized	ADJ
can-202	6	6	differential	differential	ADJ
can-202	6	7	quadrature	quadrature	NOUN
can-202	6	8	method	method	NOUN
can-202	6	9	is	be	AUX
can-202	6	10	able	able	ADJ
can-202	6	11	to	to	PART
can-202	6	12	reach	reach	VERB
can-202	6	13	the	the	DET
can-202	6	14	correct	correct	ADJ
can-202	6	15	answers	answer	NOUN
can-202	6	16	comparing	compare	VERB
can-202	6	17	to	to	ADP
can-202	6	18	analytical	analytical	ADJ
can-202	6	19	results	result	NOUN
can-202	6	20	.	.	PUNCT
can-202	7	1	moreover	moreover	ADV
can-202	7	2	,	,	PUNCT
can-202	7	3	due	due	ADP
can-202	7	4	to	to	ADP
can-202	7	5	the	the	DET
can-202	7	6	stiffness	stiffness	NOUN
can-202	7	7	softening	soften	VERB
can-202	7	8	behavior	behavior	NOUN
can-202	7	9	of	of	ADP
can-202	7	10	small	small	ADJ
can-202	7	11	-	-	PUNCT
can-202	7	12	scale	scale	NOUN
can-202	7	13	structures	structure	NOUN
can-202	7	14	,	,	PUNCT
can-202	7	15	necessity	necessity	NOUN
can-202	7	16	of	of	ADP
can-202	7	17	using	use	VERB
can-202	7	18	eringen	eringen	PROPN
can-202	7	19	's	's	PART
can-202	7	20	nonlocal	nonlocal	ADJ
can-202	7	21	elastic	elastic	ADJ
can-202	7	22	theory	theory	NOUN
can-202	7	23	to	to	PART
can-202	7	24	model	model	VERB
can-202	7	25	the	the	DET
can-202	7	26	small	small	ADJ
can-202	7	27	scale	scale	NOUN
can-202	7	28	effects	effect	NOUN
can-202	7	29	due	due	ADJ
can-202	7	30	to	to	ADP
can-202	7	31	the	the	DET
can-202	7	32	frequency	frequency	NOUN
can-202	7	33	variation	variation	NOUN
can-202	7	34	is	be	AUX
can-202	7	35	observed	observe	VERB
can-202	7	36	.	.	PUNCT
can-202	8	1	keywords	keyword	NOUN
can-202	8	2	:	:	PUNCT
can-202	8	3	generalized	generalized	ADJ
can-202	8	4	differential	differential	ADJ
can-202	8	5	quadrature	quadrature	NOUN
can-202	8	6	method	method	NOUN
can-202	8	7	;	;	PUNCT
can-202	8	8	gdqm	gdqm	NOUN
can-202	8	9	;	;	PUNCT
can-202	8	10	nanobeam	nanobeam	ADJ
can-202	8	11	;	;	PUNCT
can-202	8	12	nonlocal	nonlocal	ADJ
can-202	8	13	beam	beam	NOUN
can-202	8	14	;	;	PUNCT
can-202	8	15	nonuniform	nonuniform	ADJ
can-202	8	16	beam	beam	NOUN
can-202	8	17	;	;	PUNCT
can-202	8	18	variable	variable	ADJ
can-202	8	19	cross	cross	PROPN
can-202	8	20	section	section	NOUN
can-202	8	21	.	.	PUNCT
can-202	9	1	1	1	X
can-202	9	2	.	.	X
can-202	9	3	introduction	introduction	NOUN
can-202	9	4	beams	beam	NOUN
can-202	9	5	are	be	AUX
can-202	9	6	one	one	NUM
can-202	9	7	of	of	ADP
can-202	9	8	the	the	DET
can-202	9	9	important	important	ADJ
can-202	9	10	structures	structure	NOUN
can-202	9	11	used	use	VERB
can-202	9	12	in	in	ADP
can-202	9	13	most	most	ADJ
can-202	9	14	mechanical	mechanical	ADJ
can-202	9	15	designs	design	NOUN
can-202	9	16	ever	ever	ADV
can-202	9	17	since	since	ADV
can-202	9	18	.	.	PUNCT
can-202	10	1	with	with	ADP
can-202	10	2	the	the	DET
can-202	10	3	improvements	improvement	NOUN
can-202	10	4	done	do	VERB
can-202	10	5	in	in	ADP
can-202	10	6	new	new	ADJ
can-202	10	7	devices	device	NOUN
can-202	10	8	,	,	PUNCT
can-202	10	9	scale	scale	NOUN
can-202	10	10	of	of	ADP
can-202	10	11	such	such	ADJ
can-202	10	12	structures	structure	NOUN
can-202	10	13	have	have	AUX
can-202	10	14	been	be	AUX
can-202	10	15	reduced	reduce	VERB
can-202	10	16	to	to	ADP
can-202	10	17	micro	micro	VERB
can-202	10	18	/	/	NOUN
can-202	10	19	nano	nano	NOUN
can-202	10	20	in	in	ADP
can-202	10	21	order	order	NOUN
can-202	10	22	to	to	PART
can-202	10	23	reach	reach	VERB
can-202	10	24	a	a	DET
can-202	10	25	smaller	small	ADJ
can-202	10	26	and	and	CCONJ
can-202	10	27	lighter	light	ADJ
can-202	10	28	machines	machine	NOUN
can-202	10	29	.	.	PUNCT
can-202	11	1	in	in	ADP
can-202	11	2	this	this	DET
can-202	11	3	study	study	NOUN
can-202	11	4	,	,	PUNCT
can-202	11	5	generalized	generalized	ADJ
can-202	11	6	differential	differential	ADJ
can-202	11	7	quadrature	quadrature	NOUN
can-202	11	8	method	method	NOUN
can-202	11	9	is	be	AUX
can-202	11	10	used	use	VERB
can-202	11	11	to	to	PART
can-202	11	12	solve	solve	VERB
can-202	11	13	the	the	DET
can-202	11	14	governing	govern	VERB
can-202	11	15	equations	equation	NOUN
can-202	11	16	of	of	ADP
can-202	11	17	nonuniformnanobeams	nonuniformnanobeam	NOUN
can-202	11	18	.	.	PUNCT
can-202	12	1	scale	scale	NOUN
can-202	12	2	effect	effect	NOUN
can-202	12	3	is	be	AUX
can-202	12	4	defined	define	VERB
can-202	12	5	using	use	VERB
can-202	12	6	eringen	eringen	PROPN
can-202	12	7	's	's	PART
can-202	12	8	nonlocal	nonlocal	ADJ
can-202	12	9	elastic	elastic	ADJ
can-202	12	10	theory	theory	NOUN
can-202	12	11	and	and	CCONJ
can-202	12	12	beam	beam	NOUN
can-202	12	13	is	be	AUX
can-202	12	14	modeled	model	VERB
can-202	12	15	using	use	VERB
can-202	12	16	euler	euler	NOUN
can-202	12	17	-	-	PUNCT
can-202	12	18	bernoulli	bernoulli	PROPN
can-202	12	19	beam	beam	NOUN
can-202	12	20	theory	theory	NOUN
can-202	12	21	.	.	PUNCT
can-202	13	1	nonuniformity	nonuniformity	NOUN
can-202	13	2	is	be	AUX
can-202	13	3	proposed	propose	VERB
can-202	13	4	using	use	VERB
can-202	13	5	exponential	exponential	ADJ
can-202	13	6	width	width	ADJ
can-202	13	7	variation	variation	NOUN
can-202	13	8	while	while	SCONJ
can-202	13	9	thickness	thickness	NOUN
can-202	13	10	remains	remain	VERB
can-202	13	11	constant	constant	ADJ
can-202	13	12	through	through	ADP
can-202	13	13	the	the	DET
can-202	13	14	beam	beam	NOUN
can-202	13	15	in	in	ADP
can-202	13	16	which	which	PRON
can-202	13	17	a	a	DET
can-202	13	18	schematic	schematic	ADJ
can-202	13	19	model	model	NOUN
can-202	13	20	is	be	AUX
can-202	13	21	presented	present	VERB
can-202	13	22	in	in	ADP
can-202	13	23	fig	fig	NOUN
can-202	13	24	.	.	PUNCT
can-202	14	1	1	1	NUM
can-202	15	1	and	and	CCONJ
can-202	15	2	used	use	VERB
can-202	15	3	is	be	AUX
can-202	15	4	previous	previous	ADJ
can-202	15	5	studies	study	NOUN
can-202	15	6	(	(	PUNCT
can-202	15	7	ece	ece	PROPN
can-202	15	8	et	et	PROPN
can-202	15	9	al	al	PROPN
can-202	15	10	.	.	PROPN
can-202	15	11	2007	2007	NUM
can-202	15	12	,	,	PUNCT
can-202	15	13	khaniki	khaniki	PROPN
can-202	15	14	and	and	CCONJ
can-202	15	15	hashemi	hashemi	NOUN
can-202	15	16	2016	2016	NUM
can-202	15	17	,	,	PUNCT
can-202	15	18	hashemi	hashemi	NOUN
can-202	15	19	and	and	CCONJ
can-202	15	20	khaniki	khaniki	PROPN
can-202	15	21	2017	2017	NUM
can-202	15	22	)	)	PUNCT
can-202	15	23	.	.	PUNCT
can-202	16	1	figure	figure	NOUN
can-202	16	2	1	1	NUM
can-202	16	3	.	.	PUNCT
can-202	16	4	schematic	schematic	ADJ
can-202	16	5	representation	representation	NOUN
can-202	16	6	of	of	ADP
can-202	16	7	nonuniform	nonuniform	ADJ
can-202	16	8	small	small	ADJ
can-202	16	9	scale	scale	NOUN
can-202	16	10	beam	beam	NOUN
can-202	16	11	2	2	NUM
can-202	16	12	.	.	NOUN
can-202	16	13	problem	problem	NOUN
can-202	16	14	formulation	formulation	NOUN
can-202	16	15	general	general	ADJ
can-202	16	16	equation	equation	NOUN
can-202	16	17	of	of	ADP
can-202	16	18	motion	motion	NOUN
can-202	16	19	for	for	ADP
can-202	16	20	nonlocal	nonlocal	ADJ
can-202	16	21	euler	euler	NOUN
can-202	16	22	-	-	PUNCT
can-202	16	23	bernoulli	bernoulli	PROPN
can-202	16	24	nonuniformnanobeam	nonuniformnanobeam	NOUN
can-202	16	25	is	be	AUX
can-202	16	26	achieved	achieve	VERB
can-202	16	27	as	as	ADP
can-202	16	28	:	:	PUNCT
can-202	16	29	copyright	copyright	NOUN
can-202	16	30	©	©	PROPN
can-202	17	1	2018	2018	NUM
can-202	17	2	hessam	hessam	NOUN
can-202	17	3	bakhshi	bakhshi	PROPN
can-202	17	4	khaniki	khaniki	PROPN
can-202	17	5	et	et	PROPN
can-202	17	6	al	al	PROPN
can-202	17	7	.	.	PUNCT
can-202	17	8	doi	doi	PROPN
can-202	17	9	:	:	PUNCT
can-202	17	10	10.24294	10.24294	NUM
can-202	17	11	/	/	SYM
can-202	17	12	can.v1i2.202	can.v1i2.202	PROPN
can-202	17	13	enpress	enpress	NOUN
can-202	17	14	publisher	publisher	NOUN
can-202	17	15	llc.this	llc.this	PRON
can-202	17	16	work	work	NOUN
can-202	17	17	is	be	AUX
can-202	17	18	licensed	license	VERB
can-202	17	19	under	under	ADP
can-202	17	20	the	the	DET
can-202	17	21	creative	creative	ADJ
can-202	17	22	commonsattribution	commonsattribution	NOUN
can-202	17	23	-	-	PUNCT
can-202	17	24	noncommercial	noncommercial	ADJ
can-202	17	25	4.0	4.0	NUM
can-202	17	26	international	international	ADJ
can-202	17	27	license	license	NOUN
can-202	17	28	(	(	PUNCT
can-202	17	29	cc	cc	NOUN
can-202	17	30	by	by	ADP
can-202	17	31	-	-	PUNCT
can-202	17	32	nc	nc	PROPN
can-202	17	33	4.0	4.0	NUM
can-202	17	34	)	)	PUNCT
can-202	17	35	.	.	PUNCT
can-202	18	1	http://creativecommons.org/licenses/	http://creativecommons.org/licenses/	PROPN
can-202	18	2	by/4.0/	by/4.0/	PROPN
can-202	18	3	�	�	PROPN
can-202	18	4	�	�	PROPN
can-202	18	5	�	�	PROPN
can-202	18	6	�	�	PROPN
can-202	18	7	�	�	PROPN
can-202	18	8	2	2	NUM
can-202	18	9			NOUN
can-202	18	10			PROPN
can-202	18	11			NOUN
can-202	18	12			PUNCT
can-202	18	13			NOUN
can-202	18	14			NOUN
can-202	18	15	4	4	NUM
can-202	18	16	3	3	NUM
can-202	18	17	2	2	NUM
can-202	18	18	2	2	NUM
can-202	18	19	2	2	NUM
can-202	18	20	2	2	NUM
can-202	18	21	2	2	NUM
can-202	18	22	2	2	NUM
can-202	18	23	22	22	NUM
can-202	18	24	2	2	NUM
can-202	18	25	2	2	NUM
can-202	18	26	2	2	NUM
can-202	18	27	0	0	NUM
can-202	18	28	0	0	NUM
can-202	18	29	04	04	NUM
can-202	18	30	3	3	NUM
can-202	18	31	2	2	NUM
can-202	18	32	2	2	NUM
can-202	18	33	2	2	NUM
can-202	18	34	22	22	NUM
can-202	18	35	2	2	NUM
can-202	18	36	0d	0d	X
can-202	18	37	w	w	PROPN
can-202	18	38	di	di	PROPN
can-202	19	1	d	d	PROPN
can-202	19	2	w	w	PROPN
can-202	20	1	d	d	NOUN
can-202	20	2	i	i	NOUN
can-202	20	3	d	d	PROPN
can-202	20	4	w	w	PROPN
can-202	20	5	d	d	X
can-202	20	6	w	w	PROPN
can-202	20	7	da	da	PROPN
can-202	20	8	dw	dw	PROPN
can-202	20	9	d	d	NOUN
can-202	20	10	aei	aei	PROPN
can-202	20	11	e	e	X
can-202	20	12	e	e	X
can-202	20	13	e	e	X
can-202	20	14	a	a	PRON
can-202	20	15	a	a	DET
can-202	20	16	e	e	NOUN
can-202	20	17	a	a	DET
can-202	20	18	e	e	NOUN
can-202	20	19	a	a	DET
can-202	20	20	w	w	NOUN
can-202	20	21	a	a	DET
can-202	20	22	w	w	NOUN
can-202	20	23	dx	dx	PROPN
can-202	20	24	dx	dx	PROPN
can-202	20	25	dx	dx	PROPN
can-202	20	26	dx	dx	PROPN
can-202	21	1	dx	dx	PROPN
can-202	21	2	dx	dx	PROPN
can-202	21	3	dx	dx	PROPN
can-202	21	4	dx	dx	PROPN
can-202	21	5	dx	dx	PROPN
can-202	21	6			ADP
can-202	21	7			PROPN
can-202	21	8			ADP
can-202	21	9			PROPN
can-202	21	10			ADP
can-202	21	11			PROPN
can-202	21	12			NOUN
can-202	21	13			VERB
can-202	21	14			PROPN
can-202	21	15			PROPN
can-202	21	16			PUNCT
can-202	21	17			PUNCT
can-202	21	18			PROPN
can-202	21	19			PROPN
can-202	21	20	(	(	PUNCT
can-202	21	21	1	1	NUM
can-202	21	22	)	)	PUNCT
can-202	21	23	where	where	SCONJ
can-202	21	24	e	e	NOUN
can-202	21	25	is	be	AUX
can-202	21	26	the	the	DET
can-202	21	27	young	young	ADJ
can-202	21	28	's	's	PART
can-202	21	29	modulus	modulus	ADJ
can-202	21	30	term	term	NOUN
can-202	21	31	,	,	PUNCT
can-202	21	32	i	i	PRON
can-202	21	33	and	and	CCONJ
can-202	21	34	a	a	PRON
can-202	21	35	are	be	AUX
can-202	21	36	the	the	DET
can-202	21	37	second	second	ADJ
can-202	21	38	moment	moment	NOUN
can-202	21	39	inertia	inertia	NOUN
can-202	21	40	and	and	CCONJ
can-202	21	41	cross	cross	NOUN
can-202	21	42	section	section	NOUN
can-202	21	43	terms	term	NOUN
can-202	21	44	,	,	PUNCT
can-202	21	45	e	e	NOUN
can-202	21	46	�	�	NOUN
can-202	21	47	a	a	PRON
can-202	21	48	are	be	AUX
can-202	21	49	the	the	DET
can-202	21	50	small	small	ADJ
can-202	21	51	scale	scale	NOUN
can-202	21	52	parameters	parameter	NOUN
can-202	21	53	,	,	PUNCT
can-202	21	54	ω	ω	PROPN
can-202	21	55	is	be	AUX
can-202	21	56	the	the	DET
can-202	21	57	frequency	frequency	ADJ
can-202	21	58	term	term	NOUN
can-202	21	59	and	and	CCONJ
can-202	21	60	ρ	ρ	NOUN
can-202	21	61	is	be	AUX
can-202	21	62	the	the	DET
can-202	21	63	mass	mass	ADJ
can-202	21	64	density	density	NOUN
can-202	21	65	.	.	PUNCT
can-202	22	1	in	in	ADP
can-202	22	2	this	this	DET
can-202	22	3	study	study	NOUN
can-202	22	4	as	as	SCONJ
can-202	22	5	mentioned	mention	VERB
can-202	22	6	before	before	ADV
can-202	22	7	,	,	PUNCT
can-202	22	8	exponential	exponential	ADJ
can-202	22	9	variation	variation	NOUN
can-202	22	10	is	be	AUX
can-202	22	11	presented	present	VERB
can-202	22	12	for	for	ADP
can-202	22	13	width	width	NOUN
can-202	22	14	of	of	ADP
can-202	22	15	nonuniformnanobeam	nonuniformnanobeam	NOUN
can-202	22	16	with	with	ADP
can-202	22	17	constant	constant	ADJ
can-202	22	18	thickness	thickness	NOUN
can-202	22	19	.	.	PUNCT
can-202	23	1	therefore	therefore	ADV
can-202	23	2	nonuniformity	nonuniformity	NOUN
can-202	23	3	terms	term	NOUN
can-202	23	4	are	be	AUX
can-202	23	5	presented	present	VERB
can-202	23	6	as	as	ADP
can-202	23	7	:	:	PUNCT
can-202	23	8	3	3	NUM
can-202	23	9	0	0	NUM
can-202	23	10	0	0	NUM
can-202	23	11	1	1	NUM
can-202	23	12	(	(	PUNCT
can-202	23	13	)	)	PUNCT
can-202	23	14	,	,	PUNCT
can-202	23	15	(	(	PUNCT
can-202	23	16	)	)	PUNCT
can-202	23	17	12	12	NUM
can-202	23	18	nx	nx	NOUN
can-202	23	19	nxa	nxa	NOUN
can-202	23	20	x	x	PROPN
can-202	23	21	b	b	NOUN
can-202	23	22	he	he	PRON
can-202	24	1	i	i	PRON
can-202	24	2	x	x	SYM
can-202	25	1	b	b	X
can-202	25	2	h	h	NOUN
can-202	25	3	e	e	ADV
can-202	26	1			PROPN
can-202	26	2	(	(	PUNCT
can-202	26	3	2	2	NUM
can-202	26	4	)	)	PUNCT
can-202	26	5	where	where	SCONJ
can-202	26	6	b	b	X
can-202	26	7	�	�	PROPN
can-202	26	8	is	be	AUX
can-202	26	9	the	the	DET
can-202	26	10	width	width	NOUN
can-202	26	11	of	of	ADP
can-202	26	12	the	the	DET
can-202	26	13	beam	beam	NOUN
can-202	26	14	at	at	ADP
can-202	26	15	x	x	X
can-202	26	16	=	=	SYM
can-202	26	17	�	�	PROPN
can-202	26	18	,	,	PUNCT
can-202	26	19	h	h	NOUN
can-202	26	20	is	be	AUX
can-202	26	21	the	the	DET
can-202	26	22	thickness	thickness	NOUN
can-202	26	23	of	of	ADP
can-202	26	24	the	the	DET
can-202	26	25	beam	beam	NOUN
can-202	26	26	and	and	CCONJ
can-202	26	27	n	n	NOUN
can-202	26	28	is	be	AUX
can-202	26	29	the	the	DET
can-202	26	30	exponential	exponential	ADJ
can-202	26	31	nonuniformity	nonuniformity	NOUN
can-202	26	32	term	term	NOUN
can-202	26	33	and	and	CCONJ
can-202	26	34	by	by	ADP
can-202	26	35	defining	define	VERB
can-202	26	36	new	new	ADJ
can-202	26	37	parameters	parameter	NOUN
can-202	26	38	to	to	PART
can-202	26	39	have	have	VERB
can-202	26	40	same	same	ADJ
can-202	26	41	range	range	NOUN
can-202	26	42	of	of	ADP
can-202	26	43	scales	scale	NOUN
can-202	26	44	between	between	ADP
can-202	26	45	terms	term	NOUN
can-202	26	46	as	as	ADP
can-202	26	47	:	:	PUNCT
can-202	26	48	4	4	NUM
can-202	26	49	2	2	NUM
can-202	26	50	2	2	NUM
can-202	26	51	0/	0/	NUM
can-202	26	52	,	,	PUNCT
can-202	26	53	/	/	SYM
can-202	26	54	l	l	NOUN
can-202	26	55	,	,	PUNCT
can-202	26	56	,	,	PUNCT
can-202	26	57	/	/	SYM
can-202	26	58	,	,	PUNCT
can-202	26	59	alx	alx	PROPN
can-202	26	60	x	x	X
can-202	26	61	l	l	NOUN
can-202	26	62	y	y	VERB
can-202	26	63	y	y	PROPN
can-202	26	64	nl	nl	PROPN
can-202	26	65	e	e	PROPN
can-202	26	66	a	a	DET
can-202	26	67	l	l	NOUN
can-202	26	68	ei	ei	NOUN
can-202	26	69			NOUN
can-202	26	70			ADP
can-202	26	71			NOUN
can-202	26	72			PROPN
can-202	26	73			PROPN
can-202	27	1			NUM
can-202	28	1			ADJ
can-202	28	2			NOUN
can-202	28	3	(	(	PUNCT
can-202	28	4	3	3	NUM
can-202	28	5	)	)	PUNCT
can-202	28	6	in	in	ADP
can-202	28	7	which	which	PRON
can-202	28	8	by	by	ADP
can-202	28	9	using	use	VERB
can-202	28	10	these	these	DET
can-202	28	11	new	new	ADJ
can-202	28	12	parameters	parameter	NOUN
can-202	28	13	and	and	CCONJ
can-202	28	14	nonuniformity	nonuniformity	NOUN
can-202	28	15	terms	term	NOUN
can-202	28	16	,	,	PUNCT
can-202	28	17	equation	equation	NOUN
can-202	28	18	of	of	ADP
can-202	28	19	motion	motion	NOUN
can-202	28	20	of	of	ADP
can-202	28	21	nonuniformnanobeam	nonuniformnanobeam	NOUN
can-202	28	22	could	could	AUX
can-202	28	23	be	be	AUX
can-202	28	24	rewritten	rewrite	VERB
can-202	28	25	in	in	ADP
can-202	28	26	nondimensional	nondimensional	ADJ
can-202	28	27	form	form	NOUN
can-202	28	28	as	as	ADP
can-202	28	29	:	:	PUNCT
can-202	28	30			NOUN
can-202	28	31			PROPN
can-202	28	32			NOUN
can-202	28	33			NOUN
can-202	28	34	4	4	NUM
can-202	28	35	3	3	NUM
can-202	28	36	2	2	NUM
can-202	28	37	2	2	NUM
can-202	28	38	2	2	NUM
can-202	28	39	2	2	NUM
can-202	28	40	2	2	NUM
can-202	28	41	2	2	NUM
can-202	28	42	2	2	NUM
can-202	28	43	2	2	NUM
can-202	28	44	2	2	NUM
can-202	28	45	4	4	NUM
can-202	28	46	3	3	NUM
can-202	28	47	22	22	NUM
can-202	28	48	1	1	NUM
can-202	28	49	0d	0d	NOUN
can-202	28	50	w	w	PROPN
can-202	28	51	d	d	X
can-202	28	52	w	w	PROPN
can-202	28	53	d	d	PROPN
can-202	28	54	w	w	PROPN
can-202	28	55	dw	dw	PROPN
can-202	28	56	w	w	PROPN
can-202	28	57	dx	dx	PROPN
can-202	28	58	dx	dx	PROPN
can-202	28	59	dx	dx	PROPN
can-202	28	60	dx	dx	PROPN
can-202	28	61			NUM
can-202	28	62			NUM
can-202	28	63			NOUN
can-202	28	64			X
can-202	28	65			X
can-202	28	66			NUM
can-202	28	67			X
can-202	28	68			X
can-202	28	69			NOUN
can-202	28	70			X
can-202	28	71			PROPN
can-202	28	72			PROPN
can-202	28	73			VERB
can-202	28	74			PROPN
can-202	28	75			PROPN
can-202	28	76	(	(	PUNCT
can-202	28	77	4	4	NUM
can-202	28	78	)	)	PUNCT
can-202	28	79	where	where	SCONJ
can-202	28	80	λ	λ	PROPN
can-202	28	81	denotes	denote	VERB
can-202	28	82	the	the	DET
can-202	28	83	nondimensional	nondimensional	ADJ
can-202	28	84	frequency	frequency	NOUN
can-202	28	85	term	term	NOUN
can-202	28	86	.	.	PUNCT
can-202	29	1	3	3	X
can-202	29	2	.	.	NOUN
can-202	29	3	solution	solution	NOUN
can-202	29	4	procedure	procedure	NOUN
can-202	29	5	as	as	SCONJ
can-202	29	6	mentioned	mention	VERB
can-202	29	7	before	before	ADV
can-202	29	8	,	,	PUNCT
can-202	29	9	in	in	ADP
can-202	29	10	order	order	NOUN
can-202	29	11	to	to	PART
can-202	29	12	solve	solve	VERB
can-202	29	13	the	the	DET
can-202	29	14	nondimensional	nondimensional	ADJ
can-202	29	15	equation	equation	NOUN
can-202	29	16	of	of	ADP
can-202	29	17	motion	motion	NOUN
can-202	29	18	of	of	ADP
can-202	29	19	nonuniformnanobeam	nonuniformnanobeam	NOUN
can-202	29	20	presented	present	VERB
can-202	29	21	in	in	ADP
can-202	29	22	eq.(5	eq.(5	NOUN
can-202	29	23	)	)	PUNCT
can-202	29	24	,	,	PUNCT
can-202	29	25	generalized	generalize	VERB
can-202	29	26	differential	differential	ADJ
can-202	29	27	quadrature	quadrature	NOUN
can-202	29	28	method	method	NOUN
can-202	29	29	(	(	PUNCT
can-202	29	30	gdqm	gdqm	NOUN
can-202	29	31	)	)	PUNCT
can-202	29	32	is	be	AUX
can-202	29	33	employed	employ	VERB
can-202	29	34	.	.	PUNCT
can-202	30	1	this	this	DET
can-202	30	2	theory	theory	NOUN
can-202	30	3	uses	use	VERB
can-202	30	4	monomials	monomial	NOUN
can-202	30	5	coefficients	coefficient	NOUN
can-202	30	6	and	and	CCONJ
can-202	30	7	sampling	sample	VERB
can-202	30	8	points	point	NOUN
can-202	30	9	to	to	PART
can-202	30	10	introduce	introduce	VERB
can-202	30	11	the	the	DET
can-202	30	12	deflection	deflection	NOUN
can-202	30	13	variable	variable	NOUN
can-202	30	14	as	as	ADP
can-202	30	15	:	:	PUNCT
can-202	30	16			NOUN
can-202	30	17			PROPN
can-202	30	18			NOUN
can-202	30	19			SYM
can-202	30	20			NOUN
can-202	30	21			PUNCT
can-202	30	22			NOUN
can-202	31	1			NOUN
can-202	31	2	1	1	NUM
can-202	31	3	1	1	NUM
can-202	31	4	1	1	NUM
can-202	31	5	2	2	NUM
can-202	31	6	(	(	PUNCT
can-202	31	7	)	)	PUNCT
can-202	31	8	(	(	PUNCT
can-202	31	9	k	k	NOUN
can-202	31	10	)	)	PUNCT
can-202	31	11	(	(	PUNCT
can-202	31	12	)	)	PUNCT
can-202	31	13	(	(	PUNCT
can-202	31	14	)	)	PUNCT
can-202	31	15	(	(	PUNCT
can-202	31	16	k	k	NOUN
can-202	31	17	)	)	PUNCT
can-202	31	18	(	(	PUNCT
can-202	31	19	)	)	PUNCT
can-202	31	20	1	1	NUM
can-202	31	21	1	1	NUM
can-202	31	22	0	0	NUM
can-202	31	23	0	0	NUM
can-202	31	24	2	2	NUM
can-202	31	25	0	0	NUM
can-202	31	26	)	)	PUNCT
can-202	31	27	1	1	NUM
can-202	31	28	(	(	PUNCT
can-202	31	29	n	n	NOUN
can-202	31	30	n	n	CCONJ
can-202	31	31	r	r	NOUN
can-202	31	32	r	r	NOUN
can-202	31	33	r	r	NOUN
can-202	31	34	r	r	NOUN
can-202	32	1	i	i	NOUN
can-202	32	2	k	k	INTJ
can-202	33	1	i	i	PRON
can-202	33	2	j	j	VERB
can-202	34	1	i	i	PRON
can-202	34	2	j	j	PROPN
can-202	35	1	nk	nk	INTJ
can-202	35	2	i	i	PROPN
can-202	35	3	n	n	PROPN
can-202	35	4	ik	ik	PROPN
can-202	36	1	k	k	PROPN
can-202	36	2	k	k	PROPN
can-202	36	3	j	j	PROPN
can-202	36	4	k	k	PROPN
can-202	36	5	k	k	NOUN
can-202	36	6	r	r	NOUN
can-202	36	7	x	x	PUNCT
can-202	36	8	h	h	NOUN
can-202	36	9	x	x	X
can-202	36	10	w	w	NOUN
can-202	36	11	h	h	NOUN
can-202	36	12	x	x	X
can-202	37	1	w	w	NOUN
can-202	37	2	h	h	NOUN
can-202	37	3	x	x	PROPN
can-202	37	4	ww	ww	PROPN
can-202	37	5	e	e	PROPN
can-202	37	6	u	u	PROPN
can-202	37	7			PROPN
can-202	37	8			VERB
can-202	37	9			PROPN
can-202	37	10			ADJ
can-202	37	11			NOUN
can-202	37	12			PRON
can-202	37	13			PROPN
can-202	37	14			ADV
can-202	37	15			PUNCT
can-202	37	16			X
can-202	37	17			X
can-202	37	18			X
can-202	37	19			X
can-202	37	20	(	(	PUNCT
can-202	37	21	5	5	NUM
can-202	37	22	)	)	PUNCT
can-202	37	23	where	where	SCONJ
can-202	37	24	eik	eik	PROPN
can-202	37	25	represent	represent	VERB
can-202	37	26	the	the	DET
can-202	37	27	monomials	monomial	NOUN
can-202	37	28	coefficients	coefficient	NOUN
can-202	37	29	and	and	CCONJ
can-202	37	30	n	n	NOUN
can-202	37	31	is	be	AUX
can-202	37	32	the	the	DET
can-202	37	33	number	number	NOUN
can-202	37	34	of	of	ADP
can-202	37	35	sampling	sample	VERB
can-202	37	36	points	point	NOUN
can-202	37	37	.	.	PUNCT
can-202	38	1	hik	hik	NOUN
can-202	38	2	(	(	PUNCT
can-202	38	3	r	r	NOUN
can-202	38	4	)	)	PUNCT
can-202	38	5	are	be	AUX
can-202	38	6	the	the	DET
can-202	38	7	hermite	hermite	ADJ
can-202	38	8	interpolation	interpolation	NOUN
can-202	38	9	shape	shape	NOUN
can-202	38	10	functions	function	NOUN
can-202	38	11	as	as	ADP
can-202	38	12	:	:	PUNCT
can-202	38	13			NOUN
can-202	38	14			PROPN
can-202	38	15			NOUN
can-202	39	1			SYM
can-202	39	2			NOUN
can-202	39	3			SYM
can-202	39	4			NOUN
can-202	39	5			SYM
can-202	39	6			NOUN
can-202	39	7			SYM
can-202	39	8			NOUN
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can-202	39	10	(	(	PUNCT
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can-202	39	12	2	2	NUM
can-202	39	13	2	2	NUM
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can-202	39	15	2	2	NUM
can-202	39	16	(	(	PUNCT
can-202	39	17	)	)	PUNCT
can-202	39	18	1	1	NUM
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can-202	39	20	1	1	NUM
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can-202	39	22	;	;	PUNCT
can-202	39	23	0,1	0,1	NUM
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can-202	39	25	2	2	NUM
can-202	39	26	1	1	NUM
can-202	39	27	1	1	NUM
can-202	39	28	2,3,/	2,3,/	NUM
can-202	39	29	...	...	PUNCT
can-202	39	30	,	,	PUNCT
can-202	39	31	1	1	NUM
can-202	40	1			NUM
can-202	40	2			NUM
can-202	40	3			NOUN
can-202	40	4			NOUN
can-202	40	5			NUM
can-202	40	6			PROPN
can-202	40	7			PROPN
can-202	40	8			VERB
can-202	40	9			PUNCT
can-202	40	10			PROPN
can-202	40	11			PROPN
can-202	40	12			NUM
can-202	40	13			NUM
can-202	40	14			PROPN
can-202	40	15			PROPN
can-202	40	16			PROPN
can-202	40	17			PROPN
can-202	40	18			PROPN
can-202	40	19			PROPN
can-202	40	20			PROPN
can-202	40	21			NOUN
can-202	40	22			NOUN
can-202	40	23			PROPN
can-202	40	24			PROPN
can-202	40	25	r	r	NOUN
can-202	40	26	jl	jl	NOUN
can-202	41	1	i	i	PRON
can-202	41	2	ij	ij	INTJ
can-202	41	3	lr	lr	INTJ
can-202	41	4	pi	pi	NOUN
can-202	41	5	pi	pi	PROPN
can-202	41	6	pi	pi	PROPN
can-202	41	7	pi	pi	PROPN
can-202	42	1	p	p	PROPN
can-202	42	2	j	j	PROPN
can-202	43	1	j	j	PROPN
can-202	43	2	j	j	PROPN
can-202	43	3	j	j	PROPN
can-202	43	4	h	h	NOUN
can-202	44	1	x	x	NOUN
can-202	44	2	h	h	NOUN
can-202	44	3	x	x	PUNCT
can-202	44	4	a	a	PRON
can-202	44	5	x	x	X
can-202	44	6	b	b	NOUN
can-202	44	7	x	x	X
can-202	44	8	c	c	NOUN
can-202	44	9	l	l	NOUN
can-202	45	1	x	x	X
can-202	46	1	p	p	NOUN
can-202	47	1	n	n	INTJ
can-202	48	1	i	i	PRON
can-202	48	2	h	h	VERB
can-202	49	1	x	x	PUNCT
can-202	49	2	x	x	PUNCT
can-202	49	3	x	x	PUNCT
can-202	49	4	x	x	X
can-202	49	5	l	l	NOUN
can-202	49	6	x	x	X
can-202	49	7	j	j	PROPN
can-202	49	8	n	n	CCONJ
can-202	49	9	(	(	PUNCT
can-202	49	10	6	6	NUM
can-202	49	11	)	)	PUNCT
can-202	49	12	and	and	CCONJ
can-202	49	13	li	li	PROPN
can-202	49	14	are	be	AUX
can-202	49	15	the	the	DET
can-202	49	16	off	off	ADJ
can-202	49	17	diagonal	diagonal	ADJ
can-202	49	18	terms	term	NOUN
can-202	49	19	defined	define	VERB
can-202	49	20	as	as	ADP
can-202	49	21	:	:	PUNCT
can-202	49	22			NOUN
can-202	50	1			PROPN
can-202	50	2			NOUN
can-202	50	3			SYM
can-202	50	4			NOUN
can-202	50	5			PROPN
can-202	50	6	1	1	NUM
can-202	50	7	,	,	PUNCT
can-202	50	8	1	1	NUM
can-202	50	9	,	,	PUNCT
can-202	50	10	(	(	PUNCT
can-202	50	11	1	1	NUM
can-202	50	12	)	)	PUNCT
can-202	50	13	,	,	PUNCT
can-202	50	14	12,3	12,3	NUM
can-202	50	15	,	,	PUNCT
can-202	50	16	...	...	PUNCT
can-202	50	17	,	,	PUNCT
can-202	50	18			ADJ
can-202	50	19			PROPN
can-202	50	20			PROPN
can-202	50	21			PROPN
can-202	50	22			PROPN
can-202	50	23			PROPN
can-202	51	1			PROPN
can-202	51	2			PROPN
can-202	52	1			PROPN
can-202	52	2			PROPN
can-202	52	3			PROPN
can-202	52	4			PROPN
can-202	52	5			PROPN
can-202	52	6			PROPN
can-202	52	7			PROPN
can-202	52	8			PROPN
can-202	52	9			PROPN
can-202	52	10			PROPN
can-202	52	11	n	n	VERB
can-202	52	12	i	i	PRON
can-202	52	13	i	i	PRON
can-202	52	14	n	n	VERB
can-202	53	1	i	i	PRON
can-202	53	2	k	k	PROPN
can-202	54	1	ik	ik	PROPN
can-202	55	1	k	k	PROPN
can-202	55	2	k	k	PROPN
can-202	55	3	x	x	PUNCT
can-202	56	1	x	x	PUNCT
can-202	56	2	x	x	PUNCT
can-202	56	3	l	l	NOUN
can-202	57	1	i	i	PRON
can-202	57	2	k	k	PROPN
can-202	57	3	n	n	CCONJ
can-202	57	4	a	a	DET
can-202	57	5	x	x	X
can-202	57	6	x	x	X
can-202	57	7	nd	nd	NOUN
can-202	57	8	k	k	NOUN
can-202	57	9	x	x	PUNCT
can-202	57	10	i	i	NOUN
can-202	57	11	(	(	PUNCT
can-202	57	12	7	7	NUM
can-202	57	13	)	)	PUNCT
can-202	57	14	(	(	PUNCT
can-202	57	15	r	r	NOUN
can-202	57	16	1	1	NUM
can-202	57	17	)	)	PUNCT
can-202	57	18	(	(	PUNCT
can-202	57	19	r	r	NOUN
can-202	57	20	)	)	PUNCT
can-202	57	21	(	(	PUNCT
can-202	57	22	r	r	NOUN
can-202	57	23	1	1	NUM
can-202	57	24	)	)	PUNCT
can-202	57	25	(	(	PUNCT
can-202	57	26	1	1	NUM
can-202	57	27	)	)	PUNCT
can-202	57	28	,	,	PUNCT
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can-202	57	30	,	,	PUNCT
can-202	57	31	...	...	PUNCT
can-202	57	32	,	,	PUNCT
can-202	57	33	,	,	PUNCT
can-202	57	34	1	1	NUM
can-202	57	35			NOUN
can-202	57	36			NOUN
can-202	57	37			NOUN
can-202	57	38			PROPN
can-202	57	39			PROPN
can-202	57	40			PRON
can-202	57	41			NOUN
can-202	57	42			VERB
can-202	57	43			PROPN
can-202	57	44			PROPN
can-202	57	45	ik	ik	PROPN
can-202	57	46	ik	ik	PROPN
can-202	57	47	ii	ii	PROPN
can-202	57	48	ik	ik	PROPN
can-202	58	1	i	i	PROPN
can-202	58	2	k	k	PROPN
can-202	58	3	al	al	PROPN
can-202	58	4	r	r	PROPN
can-202	58	5	a	a	PRON
can-202	58	6	a	a	PRON
can-202	58	7	i	i	NOUN
can-202	58	8	k	k	PROPN
can-202	59	1	n	n	PROPN
can-202	60	1	and	and	CCONJ
can-202	60	2	k	k	NOUN
can-202	61	1	i	i	NOUN
can-202	61	2	r	r	VERB
can-202	61	3	x	x	PUNCT
can-202	61	4	x	x	X
can-202	61	5	(	(	PUNCT
can-202	61	6	8)	8)	NUM
can-202	61	7	and	and	CCONJ
can-202	61	8	api	api	NOUN
can-202	61	9	,	,	PUNCT
can-202	61	10	bpi	bpi	PROPN
can-202	61	11	andcpi	andcpi	PROPN
can-202	61	12	are	be	AUX
can-202	61	13	the	the	DET
can-202	61	14	coefficients	coefficient	NOUN
can-202	61	15	defined	define	VERB
can-202	61	16	as	as	ADP
can-202	61	17			NOUN
can-202	61	18			PROPN
can-202	61	19			NOUN
can-202	61	20			PROPN
can-202	61	21	(	(	PUNCT
can-202	61	22	2)2(1	2)2(1	NUM
can-202	61	23	)	)	PUNCT
can-202	61	24	(	(	PUNCT
can-202	61	25	1)1	1)1	NUM
can-202	61	26	1	1	NUM
can-202	61	27	1	1	NUM
can-202	61	28	1	1	NUM
can-202	61	29	1	1	NUM
can-202	61	30	1	1	NUM
can-202	61	31	2(1	2(1	NUM
can-202	61	32	10	10	NUM
can-202	61	33	11	11	NUM
can-202	61	34	1	1	NUM
can-202	61	35	1	1	NUM
can-202	61	36	2	2	NUM
can-202	61	37	)	)	PUNCT
can-202	61	38	1	1	NUM
can-202	61	39	(	(	PUNCT
can-202	61	40	)	)	PUNCT
can-202	61	41	(	(	PUNCT
can-202	61	42	)	)	PUNCT
can-202	61	43	2	2	NUM
can-202	61	44	1	1	NUM
can-202	61	45	2	2	NUM
can-202	61	46	(	(	PUNCT
can-202	61	47	)	)	PUNCT
can-202	61	48	2	2	NUM
can-202	61	49	(	(	PUNCT
can-202	61	50	)	)	PUNCT
can-202	61	51	2	2	NUM
can-202	61	52	1	1	NUM
can-202	61	53	2	2	NUM
can-202	61	54			ADP
can-202	61	55			NUM
can-202	61	56			PUNCT
can-202	61	57			PROPN
can-202	61	58			NOUN
can-202	61	59			NOUN
can-202	61	60			NUM
can-202	61	61			NUM
can-202	61	62			PROPN
can-202	61	63			PROPN
can-202	61	64			VERB
can-202	61	65			NUM
can-202	61	66			NUM
can-202	61	67			PROPN
can-202	61	68			PROPN
can-202	62	1	l	l	PROPN
can-202	62	2	xl	xl	PROPN
can-202	62	3	x	x	X
can-202	63	1	l	l	NOUN
can-202	63	2	x	x	X
can-202	63	3	l	l	NOUN
can-202	63	4	a	a	DET
can-202	63	5	a	a	X
can-202	63	6	x	x	X
can-202	63	7	a	a	DET
can-202	63	8	(	(	PUNCT
can-202	63	9	9	9	NUM
can-202	63	10	)	)	PUNCT
can-202	63	11			NOUN
can-202	63	12	10	10	PUNCT
can-202	63	13	10	10	NUM
can-202	63	14	1	1	NUM
can-202	63	15	(	(	PUNCT
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can-202	63	17	)	)	SYM
can-202	63	18	1	1	NUM
can-202	63	19	1	1	NUM
can-202	63	20	1	1	NUM
can-202	63	21	11	11	NUM
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can-202	63	23	1	1	NUM
can-202	63	24	1	1	NUM
can-202	63	25	1	1	NUM
can-202	63	26	(	(	PUNCT
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can-202	63	28	2	2	NUM
can-202	63	29	2	2	NUM
can-202	63	30	1	1	NUM
can-202	63	31	2	2	NUM
can-202	63	32			ADP
can-202	63	33			PROPN
can-202	63	34			PROPN
can-202	63	35			VERB
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can-202	63	37			NUM
can-202	64	1			NUM
can-202	64	2			NOUN
can-202	64	3			NUM
can-202	64	4			NOUN
can-202	64	5			PROPN
can-202	64	6	ab	ab	NOUN
can-202	64	7	l	l	NOUN
can-202	64	8	x	x	PUNCT
can-202	65	1	x	x	SYM
can-202	65	2	b	b	X
can-202	65	3	x	x	SYM
can-202	65	4	b	b	PROPN
can-202	65	5	a	a	X
can-202	65	6	x	x	X
can-202	65	7	(	(	PUNCT
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can-202	65	9	)	)	PUNCT
can-202	65	10	3	3	NUM
can-202	65	11	10	10	NUM
can-202	65	12	10	10	NUM
can-202	65	13	11	11	NUM
can-202	65	14	2	2	NUM
can-202	65	15	(	(	PUNCT
can-202	65	16	1	1	NUM
can-202	65	17	)	)	SYM
can-202	65	18	1	1	NUM
can-202	65	19	1	1	NUM
can-202	65	20	1	1	NUM
can-202	65	21	1	1	NUM
can-202	65	22	1	1	NUM
can-202	65	23	11	11	NUM
can-202	65	24	12	12	NUM
can-202	65	25	1	1	NUM
can-202	65	26	2	2	NUM
can-202	65	27	1	1	NUM
can-202	65	28	1	1	NUM
can-202	65	29	(	(	PUNCT
can-202	65	30	(	(	PUNCT
can-202	65	31	)	)	PUNCT
can-202	65	32	2	2	X
can-202	65	33	)	)	PUNCT
can-202	65	34	(	(	PUNCT
can-202	65	35	1	1	NUM
can-202	65	36	)	)	SYM
can-202	65	37	2	2	NUM
can-202	65	38			NOUN
can-202	65	39			X
can-202	65	40			PROPN
can-202	65	41			PROPN
can-202	65	42			PUNCT
can-202	65	43			PUNCT
can-202	65	44			PROPN
can-202	66	1			NUM
can-202	66	2			NOUN
can-202	66	3			NUM
can-202	66	4			NUM
can-202	66	5			PROPN
can-202	66	6			PROPN
can-202	66	7	c	c	NOUN
can-202	66	8	x	x	PUNCT
can-202	67	1	x	x	PUNCT
can-202	67	2	l	l	PUNCT
can-202	67	3	x	x	PUNCT
can-202	67	4	c	c	NOUN
can-202	67	5	x	x	X
can-202	67	6	a	a	X
can-202	67	7	x	x	X
can-202	67	8	xc	xc	PROPN
can-202	67	9	a	a	PRON
can-202	67	10	(	(	PUNCT
can-202	67	11	11	11	NUM
can-202	67	12	)	)	PUNCT
can-202	67	13			NOUN
can-202	67	14			SYM
can-202	67	15			NOUN
can-202	67	16			PROPN
can-202	67	17	(	(	PUNCT
can-202	67	18	2)2(1	2)2(1	NOUN
can-202	67	19	)	)	PUNCT
can-202	67	20	(	(	PUNCT
can-202	67	21	1	1	X
can-202	67	22	)	)	PUNCT
can-202	67	23	2	2	NUM
can-202	67	24	(	(	PUNCT
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can-202	67	26	1	1	NUM
can-202	67	27	)	)	PUNCT
can-202	67	28	2	2	NUM
can-202	67	29	1	1	NUM
can-202	67	30	(	(	PUNCT
can-202	67	31	)	)	PUNCT
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can-202	67	37	(	(	PUNCT
can-202	67	38	)	)	PUNCT
can-202	67	39	2	2	NUM
can-202	67	40	(	(	PUNCT
can-202	67	41	)	)	PUNCT
can-202	67	42	2	2	NUM
can-202	67	43	1	1	NUM
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can-202	67	45			ADP
can-202	67	46			PROPN
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can-202	67	49			NOUN
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can-202	67	51			NUM
can-202	67	52			NUM
can-202	67	53			PROPN
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can-202	67	55			VERB
can-202	67	56			NUM
can-202	67	57			NUM
can-202	67	58			PROPN
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can-202	67	60	n	n	CCONJ
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can-202	67	63	nn	nn	PROPN
can-202	67	64	n	n	CCONJ
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can-202	67	66	n	n	CCONJ
can-202	67	67	n	n	CCONJ
can-202	67	68	n	n	PROPN
can-202	67	69	n	n	ADV
can-202	67	70	a	a	DET
can-202	67	71	a	a	DET
can-202	67	72	l	l	NOUN
can-202	67	73	xl	xl	PROPN
can-202	67	74	x	x	X
can-202	67	75	l	l	NOUN
can-202	67	76	x	x	PUNCT
can-202	67	77	a	a	DET
can-202	67	78	x	x	X
can-202	67	79	l	l	NOUN
can-202	67	80	(	(	PUNCT
can-202	67	81	12	12	NUM
can-202	67	82	)	)	PUNCT
can-202	67	83			NOUN
can-202	67	84	0	0	NOUN
can-202	67	85	0	0	NUM
can-202	67	86	1	1	NUM
can-202	67	87	1	1	NUM
can-202	67	88	(	(	PUNCT
can-202	67	89	1	1	NUM
can-202	67	90	)	)	SYM
can-202	67	91	2	2	NUM
can-202	67	92	(	(	PUNCT
can-202	67	93	)	)	PUNCT
can-202	67	94	2	2	NUM
can-202	67	95	2	2	NUM
can-202	67	96	1	1	NUM
can-202	67	97	2	2	NUM
can-202	67	98			ADP
can-202	67	99			PROPN
can-202	67	100			PROPN
can-202	67	101			VERB
can-202	67	102			VERB
can-202	67	103			NUM
can-202	68	1			NUM
can-202	68	2			NOUN
can-202	68	3			NUM
can-202	68	4			PROPN
can-202	68	5			PROPN
can-202	68	6	n	n	CCONJ
can-202	68	7	n	n	CCONJ
can-202	68	8	n	n	CCONJ
can-202	68	9	n	n	CCONJ
can-202	68	10	n	n	CCONJ
can-202	68	11	n	n	CCONJ
can-202	68	12	n	n	CCONJ
can-202	68	13	n	n	CCONJ
can-202	68	14	n	n	CCONJ
can-202	68	15	n	n	PRON
can-202	68	16	b	b	PROPN
can-202	68	17	l	l	NOUN
can-202	68	18	x	x	PUNCT
can-202	69	1	x	x	SYM
can-202	69	2	b	b	X
can-202	69	3	x	x	SYM
can-202	69	4	b	b	PROPN
can-202	69	5	x	x	DET
can-202	69	6	a	a	DET
can-202	69	7	a	a	PRON
can-202	69	8	(	(	PUNCT
can-202	69	9	13	13	NUM
can-202	69	10	)	)	PUNCT
can-202	69	11	0	0	NUM
can-202	69	12	0	0	NUM
can-202	69	13	1	1	NUM
can-202	69	14	2	2	NUM
can-202	69	15	(	(	PUNCT
can-202	69	16	1	1	NUM
can-202	69	17	)	)	SYM
can-202	69	18	1	1	NUM
can-202	69	19	2	2	NUM
can-202	69	20	2	2	NUM
can-202	69	21	1	1	NUM
can-202	69	22	(	(	PUNCT
can-202	69	23	(	(	PUNCT
can-202	69	24	)	)	PUNCT
can-202	69	25	2	2	X
can-202	69	26	)	)	PUNCT
can-202	69	27	(	(	PUNCT
can-202	69	28	1	1	NUM
can-202	69	29	)	)	SYM
can-202	69	30	2	2	NUM
can-202	69	31			NOUN
can-202	69	32			X
can-202	69	33			PROPN
can-202	69	34			PROPN
can-202	69	35			PUNCT
can-202	69	36			PUNCT
can-202	69	37			PROPN
can-202	70	1			NUM
can-202	70	2			NOUN
can-202	70	3			NUM
can-202	70	4			NUM
can-202	70	5			PROPN
can-202	70	6			PROPN
can-202	70	7	n	n	CCONJ
can-202	70	8	n	n	CCONJ
can-202	70	9	n	n	CCONJ
can-202	70	10	n	n	CCONJ
can-202	70	11	n	n	CCONJ
can-202	70	12	n	n	CCONJ
can-202	70	13	n	n	CCONJ
can-202	70	14	n	n	CCONJ
can-202	70	15	n	n	CCONJ
can-202	70	16	n	n	CCONJ
can-202	70	17	n	n	CCONJ
can-202	70	18	n	n	NOUN
can-202	70	19	c	c	NOUN
can-202	70	20	x	x	PUNCT
can-202	70	21	x	x	X
can-202	70	22	l	l	NOUN
can-202	70	23	x	x	PUNCT
can-202	71	1	x	x	PUNCT
can-202	71	2	x	x	X
can-202	71	3	a	a	DET
can-202	71	4	c	c	NOUN
can-202	71	5	x	x	PUNCT
can-202	71	6	a	a	DET
can-202	71	7	c	c	NOUN
can-202	71	8	(	(	PUNCT
can-202	71	9	14	14	NUM
can-202	71	10	)	)	PUNCT
can-202	71	11	in	in	ADP
can-202	71	12	this	this	DET
can-202	71	13	study	study	NOUN
can-202	71	14	,	,	PUNCT
can-202	71	15	boundary	boundary	ADJ
can-202	71	16	conditions	condition	NOUN
can-202	71	17	are	be	AUX
can-202	71	18	assumed	assume	VERB
can-202	71	19	to	to	PART
can-202	71	20	be	be	AUX
can-202	71	21	simply	simply	ADV
can-202	71	22	-	-	PUNCT
can-202	71	23	supported	support	VERB
can-202	71	24	therefore	therefore	ADV
can-202	71	25	the	the	DET
can-202	71	26	boundary	boundary	ADJ
can-202	71	27	equations	equation	NOUN
can-202	71	28	are	be	AUX
can-202	71	29	achieved	achieve	VERB
can-202	71	30	as	as	ADP
can-202	71	31	:	:	SYM
can-202	71	32	2	2	NUM
can-202	71	33	2	2	NUM
can-202	71	34	(	(	PUNCT
can-202	71	35	):	):	PUNCT
can-202	71	36	(	(	PUNCT
can-202	71	37	)	)	PUNCT
can-202	71	38	0	0	NUM
can-202	71	39	,	,	PUNCT
can-202	71	40	0	0	NUM
can-202	72	1	1&i	1&i	NUM
can-202	72	2	i	i	NOUN
can-202	72	3	d	d	AUX
can-202	72	4	w	w	NOUN
can-202	72	5	xsimply	xsimply	VERB
can-202	72	6	supported	support	VERB
can-202	72	7	w	w	PROPN
can-202	72	8	x	x	INTJ
can-202	72	9	i	i	PRON
can-202	72	10	n	n	NUM
can-202	72	11	dx	dx	PROPN
can-202	72	12			PROPN
can-202	72	13			PROPN
can-202	73	1			NUM
can-202	73	2			NOUN
can-202	73	3	(	(	PUNCT
can-202	73	4	15	15	NUM
can-202	73	5	)	)	PUNCT
can-202	74	1	it	it	PRON
can-202	74	2	should	should	AUX
can-202	74	3	be	be	AUX
can-202	74	4	mentioned	mention	VERB
can-202	74	5	that	that	SCONJ
can-202	74	6	although	although	SCONJ
can-202	74	7	this	this	DET
can-202	74	8	solution	solution	NOUN
can-202	74	9	is	be	AUX
can-202	74	10	done	do	VERB
can-202	74	11	for	for	ADP
can-202	74	12	simply	simply	ADV
can-202	74	13	-	-	PUNCT
can-202	74	14	supported	support	VERB
can-202	74	15	nonuniformnanobeams	nonuniformnanobeam	NOUN
can-202	74	16	but	but	CCONJ
can-202	74	17	it	it	PRON
can-202	74	18	could	could	AUX
can-202	74	19	be	be	AUX
can-202	74	20	also	also	ADV
can-202	74	21	assigned	assign	VERB
can-202	74	22	to	to	ADP
can-202	74	23	other	other	ADJ
can-202	74	24	kinds	kind	NOUN
can-202	74	25	of	of	ADP
can-202	74	26	boundaries	boundary	NOUN
can-202	74	27	.	.	PUNCT
can-202	75	1	using	use	VERB
can-202	75	2	these	these	DET
can-202	75	3	equations	equation	NOUN
can-202	75	4	and	and	CCONJ
can-202	75	5	rewriting	rewrite	VERB
can-202	75	6	eq	eq	ADP
can-202	75	7	.	.	PUNCT
can-202	76	1	(	(	PUNCT
can-202	76	2	4	4	X
can-202	76	3	)	)	PUNCT
can-202	76	4	leads	lead	VERB
can-202	76	5	to	to	ADP
can-202	76	6			NOUN
can-202	76	7			PUNCT
can-202	76	8			NOUN
can-202	76	9			NOUN
can-202	77	1	2	2	ADJ
can-202	77	2	2	2	NUM
can-202	77	3	2	2	NUM
can-202	77	4	2	2	NUM
can-202	77	5	(	(	PUNCT
can-202	77	6	4	4	NUM
can-202	77	7	)	)	PUNCT
can-202	77	8	(	(	PUNCT
can-202	77	9	3	3	X
can-202	77	10	)	)	PUNCT
can-202	77	11	(	(	PUNCT
can-202	77	12	2	2	NUM
can-202	77	13	)	)	SYM
can-202	77	14	2	2	NUM
can-202	77	15	(	(	PUNCT
can-202	77	16	2	2	NUM
can-202	77	17	)	)	PUNCT
can-202	77	18	(	(	PUNCT
can-202	77	19	1	1	X
can-202	77	20	)	)	SYM
can-202	77	21	1	1	NUM
can-202	77	22	2	2	NUM
can-202	77	23	1	1	NUM
can-202	77	24	2	2	NUM
can-202	77	25	2	2	NUM
can-202	77	26	02	02	NUM
can-202	77	27	1	1	NUM
can-202	77	28	n	n	ADP
can-202	77	29	n	n	CCONJ
can-202	77	30	ik	ik	PROPN
can-202	77	31	ik	ik	PROPN
can-202	77	32	ik	ik	PROPN
can-202	77	33	k	k	PROPN
can-202	77	34	ik	ik	PROPN
can-202	77	35	ik	ik	PROPN
can-202	77	36	ik	ik	PROPN
can-202	77	37	k	k	PROPN
can-202	77	38	k	k	PROPN
can-202	77	39	k	k	PROPN
can-202	77	40	e	e	X
can-202	77	41	e	e	X
can-202	77	42	e	e	X
can-202	77	43	u	u	X
can-202	77	44	e	e	X
can-202	77	45	e	e	X
can-202	77	46	e	e	X
can-202	77	47	u	u	ADJ
can-202	77	48			NUM
can-202	77	49			X
can-202	77	50			X
can-202	77	51			NUM
can-202	77	52			NUM
can-202	77	53			NOUN
can-202	77	54			ADV
can-202	77	55			PUNCT
can-202	77	56			PROPN
can-202	77	57			PROPN
can-202	77	58			PROPN
can-202	77	59			NOUN
can-202	77	60			VERB
can-202	77	61			PROPN
can-202	77	62			PROPN
can-202	77	63			X
can-202	77	64	(	(	PUNCT
can-202	77	65	16	16	NUM
can-202	77	66	)	)	PUNCT
can-202	77	67	where	where	SCONJ
can-202	77	68	�	�	PROPN
can-202	77	69	�	�	PROPN
can-202	77	70	�	�	PROPN
can-202	77	71	could	could	AUX
can-202	77	72	be	be	AUX
can-202	77	73	defined	define	VERB
can-202	77	74	using	use	VERB
can-202	77	75	previous	previous	ADJ
can-202	77	76	literatures	literature	NOUN
can-202	77	77	(	(	PUNCT
can-202	77	78	wu	wu	PROPN
can-202	77	79	and	and	CCONJ
can-202	77	80	liu	liu	PROPN
can-202	77	81	1999	1999	NUM
can-202	77	82	and	and	CCONJ
can-202	77	83	2000	2000	NUM
can-202	77	84	)	)	PUNCT
can-202	77	85	.	.	PUNCT
can-202	78	1	equations	equation	NOUN
can-202	78	2	achieved	achieve	VERB
can-202	78	3	for	for	ADP
can-202	78	4	each	each	DET
can-202	78	5	sampling	sample	VERB
can-202	78	6	point	point	NOUN
can-202	78	7	in	in	ADP
can-202	78	8	eq	eq	ADP
can-202	78	9	.	.	PUNCT
can-202	79	1	(	(	PUNCT
can-202	79	2	16	16	NUM
can-202	79	3	)	)	PUNCT
can-202	79	4	could	could	AUX
can-202	79	5	be	be	AUX
can-202	79	6	written	write	VERB
can-202	79	7	in	in	ADP
can-202	79	8	a	a	DET
can-202	79	9	matrix	matrix	NOUN
can-202	79	10	form	form	NOUN
can-202	79	11	as	as	ADP
can-202	79	12	:	:	PUNCT
can-202	79	13			ADJ
can-202	79	14			ADP
can-202	79	15			ADJ
can-202	79	16			PUNCT
can-202	79	17			ADJ
can-202	79	18			PUNCT
can-202	79	19			PROPN
can-202	79	20			ADP
can-202	79	21			PROPN
can-202	79	22			PROPN
can-202	79	23			PROPN
can-202	79	24			PROPN
can-202	79	25			ADJ
can-202	79	26			ADP
can-202	79	27			ADJ
can-202	79	28			PUNCT
can-202	79	29			ADJ
can-202	79	30			PUNCT
can-202	79	31			PROPN
can-202	79	32			ADP
can-202	79	33			PROPN
can-202	79	34			PROPN
can-202	79	35			PROPN
can-202	79	36			PROPN
can-202	79	37	24	24	NUM
can-202	79	38	4	4	NUM
can-202	79	39	4	4	NUM
can-202	79	40	4	4	NUM
can-202	79	41	4	4	NUM
can-202	79	42	4	4	NUM
can-202	79	43	4	4	NUM
can-202	79	44	4	4	NUM
can-202	79	45	(	(	PUNCT
can-202	79	46	1	1	NUM
can-202	79	47	)	)	PUNCT
can-202	79	48	(	(	PUNCT
can-202	79	49	1	1	X
can-202	79	50	)	)	PUNCT
can-202	79	51	(	(	PUNCT
can-202	79	52	1	1	X
can-202	79	53	)	)	PUNCT
can-202	79	54	(	(	PUNCT
can-202	79	55	1	1	X
can-202	79	56	)	)	PUNCT
can-202	79	57	(	(	PUNCT
can-202	79	58	1	1	X
can-202	79	59	)	)	PUNCT
can-202	79	60	(	(	PUNCT
can-202	79	61	1	1	X
can-202	79	62	)	)	PUNCT
can-202	79	63	(	(	PUNCT
can-202	79	64	1	1	X
can-202	79	65	)	)	PUNCT
can-202	79	66	(	(	PUNCT
can-202	79	67	1	1	NUM
can-202	79	68	)	)	PUNCT
can-202	79	69	0	0	NUM
can-202	79	70	0	0	NUM
can-202	79	71	0b	0b	PROPN
can-202	79	72	bbb	bbb	PROPN
can-202	80	1	bd	bd	AUX
can-202	80	2	db	db	VERB
can-202	80	3	dd	dd	VERB
can-202	80	4	db	db	PROPN
can-202	80	5	ddn	ddn	PROPN
can-202	80	6	n	n	CCONJ
can-202	80	7	n	n	CCONJ
can-202	80	8	n	n	CCONJ
can-202	80	9	n	n	CCONJ
can-202	80	10	n	n	CCONJ
can-202	80	11	n	n	ADV
can-202	80	12	nd	nd	NOUN
can-202	80	13	d	d	NOUN
can-202	80	14	u	u	NOUN
can-202	80	15	us	us	PROPN
can-202	80	16	s	s	VERB
can-202	80	17	s	s	X
can-202	80	18	s	s	X
can-202	80	19	q	q	X
can-202	80	20	qu	qu	PROPN
can-202	80	21	u	u	PROPN
can-202	80	22			PROPN
can-202	80	23			AUX
can-202	80	24			PROPN
can-202	80	25			PROPN
can-202	80	26			PROPN
can-202	80	27			PROPN
can-202	80	28			PROPN
can-202	80	29			PROPN
can-202	80	30			VERB
can-202	80	31			PROPN
can-202	80	32			PROPN
can-202	80	33			VERB
can-202	80	34			PROPN
can-202	80	35			PROPN
can-202	80	36			VERB
can-202	80	37			PROPN
can-202	80	38			PROPN
can-202	80	39			NOUN
can-202	80	40			PROPN
can-202	80	41			INTJ
can-202	80	42			PROPN
can-202	80	43			NOUN
can-202	81	1			ADJ
can-202	81	2			NUM
can-202	81	3			PRON
can-202	81	4			NOUN
can-202	81	5			PROPN
can-202	81	6			NOUN
can-202	81	7			NOUN
can-202	81	8			X
can-202	81	9			NOUN
can-202	82	1			NUM
can-202	82	2			NOUN
can-202	82	3			NOUN
can-202	82	4			NOUN
can-202	82	5			NOUN
can-202	82	6			NOUN
can-202	82	7			NUM
can-202	82	8			PRON
can-202	82	9			PROPN
can-202	82	10			PROPN
can-202	82	11			PROPN
can-202	82	12			PROPN
can-202	82	13			PROPN
can-202	82	14			VERB
can-202	82	15			PROPN
can-202	82	16	(	(	PUNCT
can-202	82	17	17	17	NUM
can-202	82	18	)	)	PUNCT
can-202	82	19	and	and	CCONJ
can-202	82	20	accordingly	accordingly	ADV
can-202	82	21	,	,	PUNCT
can-202	82	22	generalized	generalized	ADJ
can-202	82	23	eigenvalue	eigenvalue	NOUN
can-202	82	24	equation	equation	NOUN
can-202	82	25	could	could	AUX
can-202	82	26	be	be	AUX
can-202	82	27	reached	reach	VERB
can-202	82	28	as	as	ADP
can-202	82	29	:	:	PUNCT
can-202	82	30			ADJ
can-202	82	31			ADP
can-202	82	32			VERB
can-202	82	33			NOUN
can-202	82	34			NOUN
can-202	82	35			ADJ
can-202	82	36			ADP
can-202	82	37			ADJ
can-202	82	38			ADP
can-202	82	39			ADJ
can-202	82	40			NOUN
can-202	82	41			NOUN
can-202	82	42			ADJ
can-202	82	43	1	1	NOUN
can-202	82	44	12	12	NUM
can-202	82	45	0dd	0dd	NOUN
can-202	82	46	db	db	ADP
can-202	83	1	bb	bb	INTJ
can-202	83	2	bd	bd	PROPN
can-202	83	3	dd	dd	VERB
can-202	83	4	db	db	ADJ
can-202	83	5	bb	bb	NUM
can-202	83	6	bds	bds	NOUN
can-202	83	7	s	s	PART
can-202	83	8	s	s	NOUN
can-202	83	9	s	s	X
can-202	83	10	q	q	X
can-202	83	11	q	q	X
can-202	83	12	s	s	X
can-202	83	13	s	s	ADJ
can-202	83	14			PUNCT
can-202	83	15			X
can-202	83	16			NOUN
can-202	83	17			NUM
can-202	83	18	(	(	PUNCT
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can-202	83	22	calculating	calculate	VERB
can-202	83	23	the	the	DET
can-202	83	24	results	result	NOUN
can-202	83	25	for	for	ADP
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can-202	83	27	.	.	PUNCT
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can-202	84	3	)	)	PUNCT
can-202	84	4	,	,	PUNCT
can-202	84	5	frequency	frequency	NOUN
can-202	84	6	mode	mode	NOUN
can-202	84	7	numbers	number	NOUN
can-202	84	8	are	be	AUX
can-202	84	9	achieved	achieve	VERB
can-202	84	10	.	.	PUNCT
can-202	85	1	4	4	X
can-202	85	2	.	.	NOUN
can-202	85	3	results	result	NOUN
can-202	85	4	and	and	CCONJ
can-202	85	5	discussion	discussion	NOUN
can-202	85	6	as	as	SCONJ
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can-202	85	8	in	in	ADP
can-202	85	9	previous	previous	ADJ
can-202	85	10	sections	section	NOUN
can-202	85	11	,	,	PUNCT
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can-202	85	13	vibration	vibration	NOUN
can-202	85	14	equation	equation	NOUN
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can-202	85	16	motion	motion	NOUN
can-202	85	17	of	of	ADP
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can-202	85	19	nonlocal	nonlocal	ADJ
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can-202	85	22	presented	present	VERB
can-202	85	23	and	and	CCONJ
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can-202	85	25	process	process	NOUN
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can-202	85	34	.	.	PUNCT
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can-202	86	3	to	to	PART
can-202	86	4	study	study	VERB
can-202	86	5	the	the	DET
can-202	86	6	accuracy	accuracy	NOUN
can-202	86	7	of	of	ADP
can-202	86	8	current	current	ADJ
can-202	86	9	solution	solution	NOUN
can-202	86	10	process	process	NOUN
can-202	86	11	and	and	CCONJ
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can-202	86	13	,	,	PUNCT
can-202	86	14	frequency	frequency	NOUN
can-202	86	15	terms	term	NOUN
can-202	86	16	are	be	AUX
can-202	86	17	obtained	obtain	VERB
can-202	86	18	for	for	ADP
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can-202	86	20	numbers	number	NOUN
can-202	86	21	of	of	ADP
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can-202	86	27	those	those	PRON
can-202	86	28	calculated	calculate	VERB
can-202	86	29	using	use	VERB
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can-202	86	31	solution	solution	NOUN
can-202	86	32	.	.	PUNCT
can-202	87	1	for	for	ADP
can-202	87	2	this	this	DET
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can-202	87	4	,	,	PUNCT
can-202	87	5	first	first	ADJ
can-202	87	6	three	three	NUM
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can-202	87	8	frequency	frequency	NOUN
can-202	87	9	terms	term	NOUN
can-202	87	10	are	be	AUX
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can-202	87	12	and	and	CCONJ
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can-202	87	16	1	1	NUM
can-202	87	17	.	.	PUNCT
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can-202	88	2	number	number	NOUN
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can-202	88	5	points	point	NOUN
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can-202	88	8	which	which	PRON
can-202	88	9	is	be	AUX
can-202	88	10	varied	varied	ADJ
can-202	88	11	from	from	ADP
can-202	88	12	5	5	NUM
can-202	88	13	to	to	PART
can-202	88	14	8	8	NUM
can-202	88	15	sample	sample	NOUN
can-202	88	16	points	point	NOUN
can-202	88	17	.	.	PUNCT
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can-202	89	2	,	,	PUNCT
can-202	89	3	average	average	ADJ
can-202	89	4	error	error	NOUN
can-202	89	5	with	with	ADP
can-202	89	6	respect	respect	NOUN
can-202	89	7	to	to	ADP
can-202	89	8	analytical	analytical	ADJ
can-202	89	9	results	result	NOUN
can-202	89	10	obtained	obtain	VERB
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can-202	89	13	and	and	CCONJ
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can-202	89	17	)	)	PUNCT
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can-202	89	20	and	and	CCONJ
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can-202	90	3	be	be	AUX
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can-202	90	13	the	the	DET
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can-202	90	17	.	.	PUNCT
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can-202	91	3	number	number	NOUN
can-202	91	4	of	of	ADP
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can-202	91	6	points	point	NOUN
can-202	91	7	,	,	PUNCT
can-202	91	8	results	result	NOUN
can-202	91	9	merge	merge	VERB
can-202	91	10	to	to	ADP
can-202	91	11	specific	specific	ADJ
can-202	91	12	numbers	number	NOUN
can-202	91	13	which	which	PRON
can-202	91	14	compared	compare	VERB
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can-202	91	21	a	a	DET
can-202	91	22	great	great	ADJ
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can-202	91	24	.	.	PUNCT
can-202	92	1	from	from	ADP
can-202	92	2	the	the	DET
can-202	92	3	results	result	NOUN
can-202	92	4	once	once	ADV
can-202	92	5	again	again	ADV
can-202	92	6	it	it	PRON
can-202	92	7	is	be	AUX
can-202	92	8	seen	see	VERB
can-202	92	9	that	that	SCONJ
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can-202	92	11	the	the	DET
can-202	92	12	nonlocal	nonlocal	ADJ
can-202	92	13	term	term	NOUN
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can-202	92	17	term	term	NOUN
can-202	92	18	in	in	ADP
can-202	92	19	all	all	DET
can-202	92	20	first	first	ADJ
can-202	92	21	three	three	NUM
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can-202	92	23	of	of	ADP
can-202	92	24	vibration	vibration	NOUN
can-202	92	25	.	.	PUNCT
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can-202	93	8	=	=	SYM
can-202	93	9	th	th	PROPN
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can-202	93	12	=	=	SYM
can-202	93	13	th	th	PROPN
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can-202	93	16	=	=	SYM
can-202	93	17	th	th	PROPN
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can-202	93	20	=	=	SYM
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can-202	93	22	error(%	error(%	NOUN
can-202	93	23	)	)	PUNCT
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can-202	93	29	3.126165	3.126165	NUM
can-202	93	30	4	4	NUM
can-202	93	31	(	(	PUNCT
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can-202	93	35	2017	2017	NUM
can-202	93	36	)	)	PUNCT
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can-202	93	46	e-3	e-3	PRON
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can-202	93	57	gdqm	gdqm	VERB
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can-202	93	59	nodes	node	NOUN
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can-202	93	69	nodes	node	NOUN
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can-202	93	78	1	1	NUM
can-202	93	79	.	.	PUNCT
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can-202	93	81	mode	mode	NOUN
can-202	93	82	of	of	ADP
can-202	93	83	vibration	vibration	NOUN
can-202	93	84	frequency	frequency	NOUN
can-202	93	85	term	term	NOUN
can-202	93	86	in	in	ADP
can-202	93	87	nonuniform	nonuniform	ADJ
can-202	93	88	nanobeam	nanobeam	NOUN
can-202	93	89	with	with	ADP
can-202	93	90	η	η	PROPN
can-202	93	91	=	=	PROPN
can-202	93	92	�	�	PROPN
can-202	93	93	solution	solution	NOUN
can-202	93	94	method	method	NOUN
can-202	93	95	�	�	PROPN
can-202	93	96	=	=	SYM
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can-202	93	98	h4	h4	PROPN
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can-202	93	104	=	=	SYM
can-202	93	105	�	�	PROPN
can-202	93	106	h2	h2	PROPN
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can-202	93	108	=	=	SYM
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can-202	93	113	=	=	SYM
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can-202	93	116	�	�	PROPN
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can-202	93	118	)	)	PUNCT
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can-202	93	122	and	and	CCONJ
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can-202	93	124	2017	2017	NUM
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can-202	93	151	gdqm	gdqm	VERB
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can-202	93	153	nodes	node	NOUN
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can-202	93	173	.	.	PUNCT
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can-202	93	180	in	in	ADP
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can-202	93	182	nanobeam	nanobeam	NOUN
can-202	93	183	with	with	ADP
can-202	93	184	η	η	PROPN
can-202	93	185	=	=	PROPN
can-202	93	186	�	�	PROPN
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can-202	93	189	�	�	PROPN
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can-202	93	191	�	�	PROPN
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can-202	93	195	�	�	PROPN
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can-202	93	202	=	=	SYM
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can-202	93	207	=	=	SYM
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can-202	93	214	(	(	PUNCT
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can-202	93	249	5.441987	5.441987	NUM
can-202	93	250	6.467122	6.467122	NUM
can-202	93	251	8.073358	8.073358	NUM
can-202	93	252	9.432371	9.432371	NUM
can-202	93	253	5.90749	5.90749	NUM
can-202	93	254	e-6	e-6	NOUN
can-202	93	255	gdqm	gdqm	NOUN
can-202	93	256	8	8	NUM
can-202	93	257	nodes	node	NOUN
can-202	93	258	4.768472	4.768472	NUM
can-202	93	259	5.441987	5.441987	NUM
can-202	93	260	6.467122	6.467122	NUM
can-202	93	261	8.073358	8.073358	NUM
can-202	93	262	9.432371	9.432371	NUM
can-202	93	263	5.90749	5.90749	NUM
can-202	93	264	e-6	e-6	NOUN
can-202	93	265	table	table	NOUN
can-202	93	266	3	3	NUM
can-202	93	267	.	.	PUNCT
can-202	93	268	third	third	ADJ
can-202	93	269	mode	mode	NOUN
can-202	93	270	of	of	ADP
can-202	93	271	vibration	vibration	NOUN
can-202	93	272	frequency	frequency	NOUN
can-202	93	273	term	term	NOUN
can-202	93	274	in	in	ADP
can-202	93	275	nonuniform	nonuniform	ADJ
can-202	93	276	nanobeam	nanobeam	NOUN
can-202	93	277	with	with	ADP
can-202	93	278	η	η	PROPN
can-202	93	279	=	=	SYM
can-202	93	280	5	5	NUM
can-202	93	281	.	.	X
can-202	93	282	conclusion	conclusion	NOUN
can-202	93	283	free	free	ADJ
can-202	93	284	vibration	vibration	NOUN
can-202	93	285	analysis	analysis	NOUN
can-202	93	286	of	of	ADP
can-202	93	287	variable	variable	PROPN
can-202	93	288	cross	cross	PROPN
can-202	93	289	section	section	PROPN
can-202	93	290	nonlocal	nonlocal	ADJ
can-202	93	291	small	small	ADJ
can-202	93	292	scale	scale	NOUN
can-202	93	293	beam	beam	NOUN
can-202	93	294	is	be	AUX
can-202	93	295	done	do	VERB
can-202	93	296	using	use	VERB
can-202	93	297	gdq	gdq	NOUN
can-202	93	298	method	method	NOUN
can-202	93	299	.	.	PUNCT
can-202	94	1	nanobeam	nanobeam	NOUN
can-202	94	2	is	be	AUX
can-202	94	3	modeled	model	VERB
can-202	94	4	using	use	VERB
can-202	94	5	euler	euler	NOUN
can-202	94	6	-	-	PUNCT
can-202	94	7	bernoulli	bernoulli	PROPN
can-202	94	8	beam	beam	NOUN
can-202	94	9	and	and	CCONJ
can-202	94	10	eringen	eringen	PROPN
can-202	94	11	's	's	PART
can-202	94	12	nonlocal	nonlocal	ADJ
can-202	94	13	elastic	elastic	ADJ
can-202	94	14	theory	theory	NOUN
can-202	94	15	.	.	PUNCT
can-202	95	1	generalized	generalized	ADJ
can-202	95	2	differential	differential	ADJ
can-202	95	3	quadrature	quadrature	NOUN
can-202	95	4	method	method	NOUN
can-202	95	5	is	be	AUX
can-202	95	6	presented	present	VERB
can-202	95	7	step	step	NOUN
can-202	95	8	by	by	ADP
can-202	95	9	step	step	NOUN
can-202	95	10	for	for	ADP
can-202	95	11	the	the	DET
can-202	95	12	current	current	ADJ
can-202	95	13	problem	problem	NOUN
can-202	95	14	.	.	PUNCT
can-202	96	1	calculation	calculation	NOUN
can-202	96	2	is	be	AUX
can-202	96	3	done	do	VERB
can-202	96	4	for	for	ADP
can-202	96	5	different	different	ADJ
can-202	96	6	number	number	NOUN
can-202	96	7	of	of	ADP
can-202	96	8	sampling	sample	VERB
can-202	96	9	points	point	NOUN
can-202	96	10	and	and	CCONJ
can-202	96	11	results	result	NOUN
can-202	96	12	for	for	ADP
can-202	96	13	first	first	ADJ
can-202	96	14	three	three	NUM
can-202	96	15	frequency	frequency	NOUN
can-202	96	16	parameters	parameter	NOUN
can-202	96	17	are	be	AUX
can-202	96	18	presented	present	VERB
can-202	96	19	and	and	CCONJ
can-202	96	20	compared	compare	VERB
can-202	96	21	to	to	ADP
can-202	96	22	those	those	PRON
can-202	96	23	achieved	achieve	VERB
can-202	96	24	by	by	ADP
can-202	96	25	analytically	analytically	ADV
can-202	96	26	solving	solve	VERB
can-202	96	27	the	the	DET
can-202	96	28	problem	problem	NOUN
can-202	96	29	.	.	PUNCT
can-202	97	1	average	average	ADJ
can-202	97	2	related	relate	VERB
can-202	97	3	error	error	NOUN
can-202	97	4	is	be	AUX
can-202	97	5	presented	present	VERB
can-202	97	6	for	for	ADP
can-202	97	7	different	different	ADJ
can-202	97	8	number	number	NOUN
can-202	97	9	of	of	ADP
can-202	97	10	sampling	sample	VERB
can-202	97	11	point	point	NOUN
can-202	97	12	and	and	CCONJ
can-202	97	13	accuracy	accuracy	NOUN
can-202	97	14	of	of	ADP
can-202	97	15	current	current	ADJ
can-202	97	16	method	method	NOUN
can-202	97	17	is	be	AUX
can-202	97	18	discussed	discuss	VERB
can-202	97	19	.	.	PUNCT
can-202	98	1	it	it	PRON
can-202	98	2	is	be	AUX
can-202	98	3	shown	show	VERB
can-202	98	4	that	that	SCONJ
can-202	98	5	gdqm	gdqm	NOUN
can-202	98	6	method	method	NOUN
can-202	98	7	has	have	VERB
can-202	98	8	a	a	DET
can-202	98	9	great	great	ADJ
can-202	98	10	ability	ability	NOUN
can-202	98	11	and	and	CCONJ
can-202	98	12	accuracy	accuracy	NOUN
can-202	98	13	in	in	ADP
can-202	98	14	solving	solve	VERB
can-202	98	15	this	this	DET
can-202	98	16	problem	problem	NOUN
can-202	98	17	formulation	formulation	NOUN
can-202	98	18	and	and	CCONJ
can-202	98	19	frequency	frequency	NOUN
can-202	98	20	term	term	NOUN
can-202	98	21	is	be	AUX
can-202	98	22	achieved	achieve	VERB
can-202	98	23	with	with	ADP
can-202	98	24	high	high	ADJ
can-202	98	25	accuracy	accuracy	NOUN
can-202	98	26	.	.	PUNCT
can-202	99	1	it	it	PRON
can-202	99	2	is	be	AUX
can-202	99	3	mentioned	mention	VERB
can-202	99	4	that	that	SCONJ
can-202	99	5	increasing	increase	VERB
can-202	99	6	the	the	DET
can-202	99	7	nonlocal	nonlocal	ADJ
can-202	99	8	parameter	parameter	NOUN
can-202	99	9	in	in	ADP
can-202	99	10	exponential	exponential	PROPN
can-202	99	11	cross	cross	PROPN
can-202	99	12	section	section	PROPN
can-202	99	13	variable	variable	ADJ
can-202	99	14	nonuniformnanobeam	nonuniformnanobeam	NOUN
can-202	99	15	leads	lead	VERB
can-202	99	16	to	to	ADP
can-202	99	17	smaller	small	ADJ
can-202	99	18	frequency	frequency	NOUN
can-202	99	19	parameters	parameter	NOUN
can-202	99	20	in	in	ADP
can-202	99	21	all	all	DET
can-202	99	22	the	the	DET
can-202	99	23	first	first	ADJ
can-202	99	24	three	three	NUM
can-202	99	25	mode	mode	NOUN
can-202	99	26	shapes	shape	NOUN
can-202	99	27	using	use	VERB
can-202	99	28	simply	simply	ADV
can-202	99	29	support	support	NOUN
can-202	99	30	as	as	ADP
can-202	99	31	boundary	boundary	ADJ
can-202	99	32	conditions	condition	NOUN
can-202	99	33	and	and	CCONJ
can-202	99	34	it	it	PRON
can-202	99	35	is	be	AUX
can-202	99	36	necessary	necessary	ADJ
can-202	99	37	to	to	PART
can-202	99	38	add	add	VERB
can-202	99	39	nonlocal	nonlocal	ADJ
can-202	99	40	effects	effect	NOUN
can-202	99	41	in	in	ADP
can-202	99	42	analyzing	analyze	VERB
can-202	99	43	nonuniformnanobeams	nonuniformnanobeam	NOUN
can-202	99	44	.	.	PUNCT
can-202	100	1	references	reference	NOUN
can-202	100	2	1	1	NUM
can-202	100	3	.	.	PUNCT
can-202	101	1	ece	ece	PROPN
can-202	101	2	mc	mc	PROPN
can-202	101	3	,	,	PUNCT
can-202	101	4	aydogdu	aydogdu	PROPN
can-202	101	5	m	m	PROPN
can-202	101	6	,	,	PUNCT
can-202	101	7	taskin	taskin	NOUN
can-202	101	8	v.	v.	ADP
can-202	101	9	vibration	vibration	NOUN
can-202	101	10	of	of	ADP
can-202	101	11	a	a	DET
can-202	101	12	variable	variable	ADJ
can-202	101	13	cross	cross	ADJ
can-202	101	14	-	-	ADJ
can-202	101	15	section	section	ADJ
can-202	101	16	beam	beam	NOUN
can-202	101	17	.	.	PUNCT
can-202	102	1	mechanics	mechanic	NOUN
can-202	102	2	research	research	NOUN
can-202	102	3	communications	communication	NOUN
can-202	102	4	2007	2007	NUM
can-202	102	5	;	;	PUNCT
can-202	102	6	34(1	34(1	NUM
can-202	102	7	):	):	PUNCT
can-202	102	8	78	78	NUM
can-202	102	9	-	-	SYM
can-202	102	10	84	84	NUM
can-202	102	11	.	.	PUNCT
can-202	103	1	2	2	X
can-202	103	2	.	.	X
can-202	103	3	khaniki	khaniki	PROPN
can-202	103	4	hb	hb	PROPN
can-202	103	5	,	,	PUNCT
can-202	103	6	hashemi	hashemi	PROPN
can-202	104	1	sh	sh	PROPN
can-202	104	2	.	.	PROPN
can-202	104	3	free	free	ADJ
can-202	104	4	vibration	vibration	NOUN
can-202	104	5	analysis	analysis	NOUN
can-202	104	6	of	of	ADP
can-202	104	7	nonuniform	nonuniform	ADJ
can-202	104	8	microbeams	microbeam	NOUN
can-202	104	9	based	base	VERB
can-202	104	10	on	on	ADP
can-202	104	11	modified	modify	VERB
can-202	104	12	couple	couple	NOUN
can-202	104	13	stress	stress	NOUN
can-202	104	14	theory	theory	NOUN
can-202	104	15	:	:	PUNCT
can-202	104	16	an	an	DET
can-202	104	17	analytical	analytical	ADJ
can-202	104	18	solution	solution	NOUN
can-202	104	19	.	.	PUNCT
can-202	105	1	international	international	ADJ
can-202	105	2	journal	journal	PROPN
can-202	105	3	of	of	ADP
can-202	105	4	engineering	engineering	NOUN
can-202	105	5	-	-	PUNCT
can-202	105	6	transactions	transaction	NOUN
can-202	105	7	b	b	NOUN
can-202	105	8	:	:	PUNCT
can-202	105	9	applications	application	NOUN
can-202	105	10	2017	2017	NUM
can-202	105	11	;	;	PUNCT
can-202	105	12	30(2	30(2	NUM
can-202	105	13	):	):	PUNCT
can-202	105	14	311	311	NUM
can-202	105	15	-	-	SYM
can-202	105	16	320	320	NUM
can-202	105	17	.	.	PUNCT
can-202	106	1	3	3	X
can-202	106	2	.	.	X
can-202	106	3	hashemi	hashemi	PROPN
can-202	106	4	sh	sh	PROPN
can-202	106	5	,	,	PUNCT
can-202	106	6	khaniki	khaniki	PROPN
can-202	106	7	hb	hb	PROPN
can-202	106	8	.	.	PROPN
can-202	107	1	analytical	analytical	ADJ
can-202	107	2	solution	solution	NOUN
can-202	107	3	for	for	ADP
can-202	107	4	free	free	ADJ
can-202	107	5	vibration	vibration	NOUN
can-202	107	6	of	of	ADP
can-202	107	7	a	a	DET
can-202	107	8	variable	variable	ADJ
can-202	107	9	cross	cross	ADJ
can-202	107	10	-	-	ADJ
can-202	107	11	section	section	ADJ
can-202	107	12	nonlocal	nonlocal	ADJ
can-202	107	13	nanobeam	nanobeam	NOUN
can-202	107	14	.	.	PUNCT
can-202	108	1	international	international	ADJ
can-202	108	2	journal	journal	PROPN
can-202	108	3	of	of	ADP
can-202	108	4	engineering	engineering	NOUN
can-202	108	5	-	-	PUNCT
can-202	108	6	transactions	transaction	NOUN
can-202	108	7	b	b	NOUN
can-202	108	8	:	:	PUNCT
can-202	108	9	applications	application	NOUN
can-202	108	10	2016	2016	NUM
can-202	108	11	;	;	PUNCT
can-202	108	12	29(5	29(5	NUM
can-202	108	13	):	):	PUNCT
can-202	108	14	688	688	NUM
can-202	108	15	-	-	SYM
can-202	108	16	696	696	NUM
can-202	108	17	.	.	PUNCT
can-202	109	1	4	4	X
can-202	109	2	.	.	X
can-202	109	3	hashemi	hashemi	PROPN
can-202	109	4	sh	sh	PROPN
can-202	109	5	,	,	PUNCT
can-202	109	6	khaniki	khaniki	PROPN
can-202	109	7	hb	hb	PROPN
can-202	109	8	.	.	PUNCT
can-202	110	1	vibration	vibration	NOUN
can-202	110	2	analysis	analysis	NOUN
can-202	110	3	of	of	ADP
can-202	110	4	a	a	DET
can-202	110	5	timoshenko	timoshenko	ADJ
can-202	110	6	non	non	ADJ
can-202	110	7	-	-	ADJ
can-202	110	8	uniform	uniform	ADJ
can-202	110	9	nanobeam	nanobeam	NOUN
can-202	110	10	based	base	VERB
can-202	110	11	on	on	ADP
can-202	110	12	nonlocal	nonlocal	ADJ
can-202	110	13	theory	theory	NOUN
can-202	110	14	:	:	PUNCT
can-202	110	15	an	an	DET
can-202	110	16	analytical	analytical	ADJ
can-202	110	17	solution	solution	NOUN
can-202	110	18	.	.	PUNCT
can-202	111	1	international	international	ADJ
can-202	111	2	journal	journal	NOUN
can-202	111	3	of	of	ADP
can-202	111	4	nano	nano	NOUN
can-202	111	5	dimension	dimension	NOUN
can-202	111	6	.	.	PUNCT
can-202	112	1	2017	2017	NUM
can-202	112	2	;	;	PUNCT
can-202	112	3	8(1	8(1	NOUN
can-202	112	4	):	):	PUNCT
can-202	112	5	70	70	NUM
can-202	112	6	-	-	SYM
can-202	112	7	81	81	NUM
can-202	112	8	.	.	NOUN
can-202	112	9	5	5	NUM
can-202	112	10	5	5	NUM
can-202	112	11	.	.	PUNCT
can-202	112	12	hashemi	hashemi	PROPN
can-202	112	13	sh	sh	PROPN
can-202	112	14	,	,	PUNCT
can-202	112	15	khaniki	khaniki	PROPN
can-202	112	16	hb	hb	PROPN
can-202	112	17	.	.	PUNCT
can-202	112	18	free	free	ADJ
can-202	112	19	vibration	vibration	NOUN
can-202	112	20	analysis	analysis	NOUN
can-202	112	21	of	of	ADP
can-202	112	22	functionally	functionally	ADV
can-202	112	23	graded	grade	VERB
can-202	112	24	materials	material	NOUN
can-202	112	25	non	non	ADJ
can-202	112	26	-	-	ADJ
can-202	112	27	uniform	uniform	ADJ
can-202	112	28	beams	beam	NOUN
can-202	112	29	.	.	PUNCT
can-202	113	1	international	international	ADJ
can-202	113	2	journal	journal	NOUN
can-202	113	3	of	of	ADP
can-202	113	4	engineering	engineering	NOUN
can-202	113	5	-	-	PUNCT
can-202	113	6	transactions	transaction	NOUN
can-202	113	7	c	c	NOUN
can-202	113	8	:	:	PUNCT
can-202	113	9	aspects	aspect	NOUN
can-202	113	10	2016;29(12	2016;29(12	NUM
can-202	113	11	):	):	PUNCT
can-202	113	12	1734	1734	NUM
can-202	113	13	-	-	SYM
can-202	113	14	1740	1740	NUM
can-202	113	15	.	.	PUNCT
can-202	114	1	6	6	NUM
can-202	114	2	.	.	X
can-202	114	3	wu	wu	PROPN
can-202	115	1	ty	ty	PROPN
can-202	115	2	,	,	PUNCT
can-202	115	3	liu	liu	PROPN
can-202	115	4	gr	gr	PROPN
can-202	115	5	.	.	PUNCT
can-202	116	1	a	a	DET
can-202	116	2	differential	differential	ADJ
can-202	116	3	quadrature	quadrature	NOUN
can-202	116	4	as	as	ADP
can-202	116	5	a	a	DET
can-202	116	6	numerical	numerical	ADJ
can-202	116	7	method	method	NOUN
can-202	116	8	to	to	PART
can-202	116	9	solve	solve	VERB
can-202	116	10	differential	differential	ADJ
can-202	116	11	equations	equation	NOUN
can-202	116	12	.	.	PUNCT
can-202	117	1	computational	computational	ADJ
can-202	117	2	mechanics	mechanic	NOUN
can-202	117	3	1999	1999	NUM
can-202	117	4	;	;	PUNCT
can-202	117	5	24(3	24(3	NUM
can-202	117	6	):	):	PUNCT
can-202	117	7	197	197	NUM
can-202	117	8	-	-	SYM
can-202	117	9	205	205	NUM
can-202	117	10	.	.	PUNCT
can-202	118	1	7	7	X
can-202	118	2	.	.	X
can-202	118	3	wu	wu	PROPN
can-202	119	1	ty	ty	PROPN
can-202	119	2	,	,	PUNCT
can-202	119	3	liu	liu	PROPN
can-202	119	4	gr	gr	PROPN
can-202	119	5	.	.	PUNCT
can-202	119	6	application	application	NOUN
can-202	119	7	of	of	ADP
can-202	119	8	generalized	generalized	ADJ
can-202	119	9	differential	differential	ADJ
can-202	119	10	quadrature	quadrature	NOUN
can-202	119	11	rule	rule	NOUN
can-202	119	12	to	to	ADP
can-202	119	13	sixth‐order	sixth‐order	NOUN
can-202	119	14	differential	differential	NOUN
can-202	119	15	equations	equation	NOUN
can-202	119	16	.	.	PUNCT
can-202	120	1	international	international	ADJ
can-202	120	2	journal	journal	PROPN
can-202	120	3	for	for	ADP
can-202	120	4	numerical	numerical	ADJ
can-202	120	5	methods	method	NOUN
can-202	120	6	in	in	ADP
can-202	120	7	biomedical	biomedical	ADJ
can-202	120	8	engineering	engineering	NOUN
can-202	120	9	2000	2000	NUM
can-202	120	10	;	;	PUNCT
can-202	120	11	16(11	16(11	NUM
can-202	120	12	):	):	PUNCT
can-202	120	13	777	777	NUM
can-202	120	14	-	-	SYM
can-202	120	15	784	784	NUM
can-202	120	16	.	.	PUNCT