id	sid	tid	token	lemma	pos
fumecheng-11851	1	1	11851	11851	NUM
fumecheng-11851	1	2	facta	facta	NOUN
fumecheng-11851	1	3	universitatis	universitatis	PROPN
fumecheng-11851	1	4	series	series	NOUN
fumecheng-11851	1	5	:	:	PUNCT
fumecheng-11851	1	6	mechanical	mechanical	ADJ
fumecheng-11851	1	7	engineering	engineering	NOUN
fumecheng-11851	1	8	vol	vol	NOUN
fumecheng-11851	1	9	.	.	PROPN
fumecheng-11851	1	10	23	23	NUM
fumecheng-11851	1	11	,	,	PUNCT
fumecheng-11851	1	12	no	no	DET
fumecheng-11851	1	13	2	2	NUM
fumecheng-11851	1	14	,	,	PUNCT
fumecheng-11851	1	15	2025	2025	NUM
fumecheng-11851	1	16	,	,	PUNCT
fumecheng-11851	1	17	pp	pp	ADJ
fumecheng-11851	1	18	.	.	PUNCT
fumecheng-11851	2	1	387	387	NUM
fumecheng-11851	2	2	405	405	NUM
fumecheng-11851	2	3	https://doi.org/10.22190/fume050123059	https://doi.org/10.22190/fume050123059	NOUN
fumecheng-11851	2	4	m	m	PROPN
fumecheng-11851	2	5	©	©	PROPN
fumecheng-11851	2	6	2025	2025	NUM
fumecheng-11851	2	7	by	by	ADP
fumecheng-11851	2	8	university	university	PROPN
fumecheng-11851	2	9	of	of	ADP
fumecheng-11851	2	10	niš	niš	PROPN
fumecheng-11851	2	11	,	,	PUNCT
fumecheng-11851	2	12	serbia	serbia	PROPN
fumecheng-11851	2	13	|	|	ADV
fumecheng-11851	2	14	creative	creative	ADJ
fumecheng-11851	2	15	commons	common	NOUN
fumecheng-11851	2	16	license	license	NOUN
fumecheng-11851	2	17	:	:	PUNCT
fumecheng-11851	2	18	cc	cc	VERB
fumecheng-11851	2	19	by	by	ADP
fumecheng-11851	2	20	-	-	PUNCT
fumecheng-11851	2	21	nc	nc	VERB
fumecheng-11851	2	22	-	-	PUNCT
fumecheng-11851	2	23	nd	nd	ADV
fumecheng-11851	2	24	original	original	ADJ
fumecheng-11851	2	25	scientific	scientific	NOUN
fumecheng-11851	2	26	paper	paper	VERB
fumecheng-11851	2	27	geometrically	geometrically	ADV
fumecheng-11851	2	28	nonlinear	nonlinear	ADJ
fumecheng-11851	2	29	analysis	analysis	NOUN
fumecheng-11851	2	30	of	of	ADP
fumecheng-11851	2	31	piezoelectric	piezoelectric	ADJ
fumecheng-11851	2	32	active	active	ADJ
fumecheng-11851	2	33	laminated	laminate	VERB
fumecheng-11851	2	34	shells	shell	NOUN
fumecheng-11851	2	35	by	by	ADP
fumecheng-11851	2	36	means	mean	NOUN
fumecheng-11851	2	37	of	of	ADP
fumecheng-11851	2	38	isogeometric	isogeometric	ADJ
fumecheng-11851	2	39	fe	fe	PROPN
fumecheng-11851	2	40	formulation	formulation	NOUN
fumecheng-11851	2	41	predrag	predrag	PROPN
fumecheng-11851	2	42	milić1	milić1	PROPN
fumecheng-11851	2	43	,	,	PUNCT
fumecheng-11851	2	44	dragan	dragan	PROPN
fumecheng-11851	2	45	marinković2,3	marinković2,3	PROPN
fumecheng-11851	2	46	,	,	PUNCT
fumecheng-11851	2	47	žarko	žarko	PROPN
fumecheng-11851	2	48	ćojbašić1	ćojbašić1	VERB
fumecheng-11851	3	1	1university	1university	NUM
fumecheng-11851	3	2	of	of	ADP
fumecheng-11851	3	3	niš	niš	NOUN
fumecheng-11851	3	4	,	,	PUNCT
fumecheng-11851	3	5	faculty	faculty	NOUN
fumecheng-11851	3	6	of	of	ADP
fumecheng-11851	3	7	mechanical	mechanical	ADJ
fumecheng-11851	3	8	engineering	engineering	NOUN
fumecheng-11851	3	9	in	in	ADP
fumecheng-11851	3	10	niš	niš	PROPN
fumecheng-11851	3	11	,	,	PUNCT
fumecheng-11851	3	12	serbia	serbia	PROPN
fumecheng-11851	3	13	2department	2department	NUM
fumecheng-11851	3	14	of	of	ADP
fumecheng-11851	3	15	structural	structural	ADJ
fumecheng-11851	3	16	analysis	analysis	NOUN
fumecheng-11851	3	17	,	,	PUNCT
fumecheng-11851	3	18	tu	tu	PROPN
fumecheng-11851	3	19	berlin	berlin	PROPN
fumecheng-11851	3	20	,	,	PUNCT
fumecheng-11851	3	21	germany	germany	PROPN
fumecheng-11851	3	22	3mechanical	3mechanical	PROPN
fumecheng-11851	3	23	science	science	PROPN
fumecheng-11851	3	24	institute	institute	PROPN
fumecheng-11851	3	25	,	,	PUNCT
fumecheng-11851	3	26	vilnius	vilnius	PROPN
fumecheng-11851	3	27	gediminas	gediminas	PROPN
fumecheng-11851	3	28	technical	technical	PROPN
fumecheng-11851	3	29	university	university	PROPN
fumecheng-11851	3	30	-	-	PUNCT
fumecheng-11851	3	31	vilnius	vilnius	PROPN
fumecheng-11851	3	32	tech	tech	NOUN
fumecheng-11851	3	33	,	,	PUNCT
fumecheng-11851	3	34	vilnius	vilnius	PROPN
fumecheng-11851	3	35	,	,	PUNCT
fumecheng-11851	3	36	lithuania	lithuania	PROPN
fumecheng-11851	3	37	orcid	orcid	PROPN
fumecheng-11851	3	38	ids	ids	PROPN
fumecheng-11851	3	39	:	:	PUNCT
fumecheng-11851	3	40	predrag	predrag	PROPN
fumecheng-11851	3	41	milić	milić	PROPN
fumecheng-11851	3	42	https://orcid.org/0000-0001-7778-6097	https://orcid.org/0000-0001-7778-6097	PROPN
fumecheng-11851	3	43	dragan	dragan	VERB
fumecheng-11851	3	44	marinković	marinković	PROPN
fumecheng-11851	4	1	https://orcid.org/0000-0002-3583-9434	https://orcid.org/0000-0002-3583-9434	PROPN
fumecheng-11851	4	2	žarko	žarko	PROPN
fumecheng-11851	4	3	ćojbašić	ćojbašić	PROPN
fumecheng-11851	4	4	https://orcid.org/0000-0002-4581-1048	https://orcid.org/0000-0002-4581-1048	PROPN
fumecheng-11851	4	5	abstract	abstract	ADJ
fumecheng-11851	4	6	.	.	PUNCT
fumecheng-11851	5	1	the	the	DET
fumecheng-11851	5	2	topic	topic	NOUN
fumecheng-11851	5	3	of	of	ADP
fumecheng-11851	5	4	piezoelectric	piezoelectric	NOUN
fumecheng-11851	5	5	active	active	ADJ
fumecheng-11851	5	6	thin	thin	ADJ
fumecheng-11851	5	7	-	-	PUNCT
fumecheng-11851	5	8	walled	walled	ADJ
fumecheng-11851	5	9	structures	structure	NOUN
fumecheng-11851	5	10	has	have	AUX
fumecheng-11851	5	11	attracted	attract	VERB
fumecheng-11851	5	12	a	a	DET
fumecheng-11851	5	13	great	great	ADJ
fumecheng-11851	5	14	deal	deal	NOUN
fumecheng-11851	5	15	of	of	ADP
fumecheng-11851	5	16	attention	attention	NOUN
fumecheng-11851	5	17	over	over	ADP
fumecheng-11851	5	18	the	the	DET
fumecheng-11851	5	19	previous	previous	ADJ
fumecheng-11851	5	20	couple	couple	NOUN
fumecheng-11851	5	21	of	of	ADP
fumecheng-11851	5	22	decades	decade	NOUN
fumecheng-11851	5	23	.	.	PUNCT
fumecheng-11851	6	1	lightweight	lightweight	ADJ
fumecheng-11851	6	2	structures	structure	NOUN
fumecheng-11851	6	3	with	with	ADP
fumecheng-11851	6	4	piezoelectric	piezoelectric	ADJ
fumecheng-11851	6	5	material	material	NOUN
fumecheng-11851	6	6	based	base	VERB
fumecheng-11851	6	7	active	active	ADJ
fumecheng-11851	6	8	elements	element	NOUN
fumecheng-11851	6	9	,	,	PUNCT
fumecheng-11851	6	10	sensors	sensor	NOUN
fumecheng-11851	6	11	and	and	CCONJ
fumecheng-11851	6	12	actuators	actuator	NOUN
fumecheng-11851	6	13	,	,	PUNCT
fumecheng-11851	6	14	offer	offer	VERB
fumecheng-11851	6	15	numerous	numerous	ADJ
fumecheng-11851	6	16	advantages	advantage	NOUN
fumecheng-11851	6	17	over	over	ADP
fumecheng-11851	6	18	their	their	PRON
fumecheng-11851	6	19	passive	passive	ADJ
fumecheng-11851	6	20	counterparts	counterpart	NOUN
fumecheng-11851	6	21	.	.	PUNCT
fumecheng-11851	7	1	this	this	PRON
fumecheng-11851	7	2	explains	explain	VERB
fumecheng-11851	7	3	the	the	DET
fumecheng-11851	7	4	motivation	motivation	NOUN
fumecheng-11851	7	5	of	of	ADP
fumecheng-11851	7	6	authors	author	NOUN
fumecheng-11851	7	7	to	to	PART
fumecheng-11851	7	8	dedicate	dedicate	VERB
fumecheng-11851	7	9	their	their	PRON
fumecheng-11851	7	10	work	work	NOUN
fumecheng-11851	7	11	to	to	ADP
fumecheng-11851	7	12	this	this	DET
fumecheng-11851	7	13	enticing	enticing	ADJ
fumecheng-11851	7	14	research	research	NOUN
fumecheng-11851	7	15	field	field	NOUN
fumecheng-11851	7	16	.	.	PUNCT
fumecheng-11851	8	1	accurate	accurate	ADJ
fumecheng-11851	8	2	and	and	CCONJ
fumecheng-11851	8	3	reliable	reliable	ADJ
fumecheng-11851	8	4	numerical	numerical	ADJ
fumecheng-11851	8	5	tools	tool	NOUN
fumecheng-11851	8	6	for	for	ADP
fumecheng-11851	8	7	modeling	modeling	NOUN
fumecheng-11851	8	8	and	and	CCONJ
fumecheng-11851	8	9	simulation	simulation	NOUN
fumecheng-11851	8	10	of	of	ADP
fumecheng-11851	8	11	this	this	DET
fumecheng-11851	8	12	type	type	NOUN
fumecheng-11851	8	13	of	of	ADP
fumecheng-11851	8	14	structures	structure	NOUN
fumecheng-11851	8	15	is	be	AUX
fumecheng-11851	8	16	still	still	ADV
fumecheng-11851	8	17	a	a	DET
fumecheng-11851	8	18	hot	hot	ADJ
fumecheng-11851	8	19	topic	topic	NOUN
fumecheng-11851	8	20	in	in	ADP
fumecheng-11851	8	21	the	the	DET
fumecheng-11851	8	22	research	research	NOUN
fumecheng-11851	8	23	community	community	NOUN
fumecheng-11851	8	24	.	.	PUNCT
fumecheng-11851	9	1	this	this	DET
fumecheng-11851	9	2	paper	paper	NOUN
fumecheng-11851	9	3	offers	offer	VERB
fumecheng-11851	9	4	an	an	DET
fumecheng-11851	9	5	isogeometric	isogeometric	ADJ
fumecheng-11851	9	6	finite	finite	NOUN
fumecheng-11851	9	7	element	element	NOUN
fumecheng-11851	9	8	formulation	formulation	NOUN
fumecheng-11851	9	9	for	for	ADP
fumecheng-11851	9	10	shell	shell	ADJ
fumecheng-11851	9	11	type	type	NOUN
fumecheng-11851	9	12	of	of	ADP
fumecheng-11851	9	13	structures	structure	NOUN
fumecheng-11851	9	14	made	make	VERB
fumecheng-11851	9	15	of	of	ADP
fumecheng-11851	9	16	composite	composite	ADJ
fumecheng-11851	9	17	laminates	laminate	NOUN
fumecheng-11851	9	18	including	include	VERB
fumecheng-11851	9	19	piezoelectric	piezoelectric	ADJ
fumecheng-11851	9	20	layers	layer	NOUN
fumecheng-11851	9	21	characterized	characterize	VERB
fumecheng-11851	9	22	by	by	ADP
fumecheng-11851	9	23	the	the	DET
fumecheng-11851	9	24	electro	electro	ADJ
fumecheng-11851	9	25	-	-	PUNCT
fumecheng-11851	9	26	mechanical	mechanical	ADJ
fumecheng-11851	9	27	coupling	coupling	NOUN
fumecheng-11851	9	28	.	.	PUNCT
fumecheng-11851	10	1	the	the	DET
fumecheng-11851	10	2	shell	shell	PROPN
fumecheng-11851	10	3	kinematics	kinematic	NOUN
fumecheng-11851	10	4	is	be	AUX
fumecheng-11851	10	5	based	base	VERB
fumecheng-11851	10	6	on	on	ADP
fumecheng-11851	10	7	the	the	DET
fumecheng-11851	10	8	mindlin	mindlin	NOUN
fumecheng-11851	10	9	-	-	PUNCT
fumecheng-11851	10	10	reissner	reissner	NOUN
fumecheng-11851	10	11	assumptions	assumption	NOUN
fumecheng-11851	10	12	,	,	PUNCT
fumecheng-11851	10	13	thus	thus	ADV
fumecheng-11851	10	14	including	include	VERB
fumecheng-11851	10	15	the	the	DET
fumecheng-11851	10	16	transverse	transverse	ADJ
fumecheng-11851	10	17	shear	shear	NOUN
fumecheng-11851	10	18	effects	effect	NOUN
fumecheng-11851	10	19	.	.	PUNCT
fumecheng-11851	11	1	a	a	DET
fumecheng-11851	11	2	few	few	ADJ
fumecheng-11851	11	3	examples	example	NOUN
fumecheng-11851	11	4	selected	select	VERB
fumecheng-11851	11	5	from	from	ADP
fumecheng-11851	11	6	the	the	DET
fumecheng-11851	11	7	available	available	ADJ
fumecheng-11851	11	8	literature	literature	NOUN
fumecheng-11851	11	9	are	be	AUX
fumecheng-11851	11	10	considered	consider	VERB
fumecheng-11851	11	11	to	to	PART
fumecheng-11851	11	12	demonstrate	demonstrate	VERB
fumecheng-11851	11	13	the	the	DET
fumecheng-11851	11	14	applicability	applicability	NOUN
fumecheng-11851	11	15	of	of	ADP
fumecheng-11851	11	16	the	the	DET
fumecheng-11851	11	17	developed	develop	VERB
fumecheng-11851	11	18	numerical	numerical	ADJ
fumecheng-11851	11	19	tool	tool	NOUN
fumecheng-11851	11	20	and	and	CCONJ
fumecheng-11851	11	21	assess	assess	VERB
fumecheng-11851	11	22	its	its	PRON
fumecheng-11851	11	23	performance	performance	NOUN
fumecheng-11851	11	24	.	.	PUNCT
fumecheng-11851	12	1	key	key	ADJ
fumecheng-11851	12	2	words	word	NOUN
fumecheng-11851	12	3	:	:	PUNCT
fumecheng-11851	12	4	isogeometric	isogeometric	ADJ
fumecheng-11851	12	5	analysis	analysis	NOUN
fumecheng-11851	12	6	,	,	PUNCT
fumecheng-11851	12	7	laminated	laminated	ADJ
fumecheng-11851	12	8	structure	structure	NOUN
fumecheng-11851	12	9	,	,	PUNCT
fumecheng-11851	12	10	reissner	reissner	NOUN
fumecheng-11851	12	11	-	-	PUNCT
fumecheng-11851	12	12	mindlin	mindlin	NOUN
fumecheng-11851	12	13	kinematics	kinematic	NOUN
fumecheng-11851	12	14	,	,	PUNCT
fumecheng-11851	12	15	shell	shell	NOUN
fumecheng-11851	12	16	,	,	PUNCT
fumecheng-11851	12	17	piezoelectricity	piezoelectricity	NOUN
fumecheng-11851	12	18	,	,	PUNCT
fumecheng-11851	12	19	geometrically	geometrically	ADV
fumecheng-11851	12	20	nonlinear	nonlinear	VERB
fumecheng-11851	12	21	analysis	analysis	NOUN
fumecheng-11851	12	22	1	1	NUM
fumecheng-11851	12	23	.	.	PUNCT
fumecheng-11851	13	1	introduction	introduction	NOUN
fumecheng-11851	13	2	modern	modern	ADJ
fumecheng-11851	13	3	structures	structure	NOUN
fumecheng-11851	13	4	are	be	AUX
fumecheng-11851	13	5	made	make	VERB
fumecheng-11851	13	6	so	so	SCONJ
fumecheng-11851	13	7	as	as	SCONJ
fumecheng-11851	13	8	to	to	PART
fumecheng-11851	13	9	be	be	AUX
fumecheng-11851	13	10	fit	fit	ADJ
fumecheng-11851	13	11	for	for	ADP
fumecheng-11851	13	12	their	their	PRON
fumecheng-11851	13	13	purpose	purpose	NOUN
fumecheng-11851	13	14	.	.	PUNCT
fumecheng-11851	14	1	in	in	ADP
fumecheng-11851	14	2	order	order	NOUN
fumecheng-11851	14	3	to	to	PART
fumecheng-11851	14	4	meet	meet	VERB
fumecheng-11851	14	5	this	this	DET
fumecheng-11851	14	6	objective	objective	NOUN
fumecheng-11851	14	7	,	,	PUNCT
fumecheng-11851	14	8	they	they	PRON
fumecheng-11851	14	9	are	be	AUX
fumecheng-11851	14	10	designed	design	VERB
fumecheng-11851	14	11	to	to	PART
fumecheng-11851	14	12	be	be	AUX
fumecheng-11851	14	13	lightweight	lightweight	ADJ
fumecheng-11851	14	14	.	.	PUNCT
fumecheng-11851	15	1	modern	modern	ADJ
fumecheng-11851	15	2	fiber	fiber	NOUN
fumecheng-11851	15	3	-	-	PUNCT
fumecheng-11851	15	4	reinforced	reinforce	VERB
fumecheng-11851	15	5	composite	composite	ADJ
fumecheng-11851	15	6	materials	material	NOUN
fumecheng-11851	15	7	enable	enable	VERB
fumecheng-11851	15	8	design	design	NOUN
fumecheng-11851	15	9	and	and	CCONJ
fumecheng-11851	15	10	manufacturing	manufacturing	NOUN
fumecheng-11851	15	11	of	of	ADP
fumecheng-11851	15	12	lightweight	lightweight	ADJ
fumecheng-11851	15	13	structures	structure	NOUN
fumecheng-11851	15	14	,	,	PUNCT
fumecheng-11851	15	15	while	while	SCONJ
fumecheng-11851	15	16	improving	improve	VERB
fumecheng-11851	15	17	the	the	DET
fumecheng-11851	15	18	structural	structural	ADJ
fumecheng-11851	15	19	performance	performance	NOUN
fumecheng-11851	15	20	in	in	ADP
fumecheng-11851	15	21	different	different	ADJ
fumecheng-11851	15	22	areas	area	NOUN
fumecheng-11851	15	23	–	–	PUNCT
fumecheng-11851	15	24	the	the	DET
fumecheng-11851	15	25	structures	structure	NOUN
fumecheng-11851	15	26	are	be	AUX
fumecheng-11851	15	27	characterized	characterize	VERB
fumecheng-11851	15	28	by	by	ADP
fumecheng-11851	15	29	high	high	ADJ
fumecheng-11851	15	30	stiffness	stiffness	NOUN
fumecheng-11851	15	31	-	-	PUNCT
fumecheng-11851	15	32	toweight	toweight	ADJ
fumecheng-11851	15	33	ratio	ratio	NOUN
fumecheng-11851	15	34	and	and	CCONJ
fumecheng-11851	15	35	become	become	VERB
fumecheng-11851	15	36	less	less	ADV
fumecheng-11851	15	37	expensive	expensive	ADJ
fumecheng-11851	15	38	to	to	PART
fumecheng-11851	15	39	operate	operate	VERB
fumecheng-11851	15	40	with	with	ADP
fumecheng-11851	15	41	.	.	PUNCT
fumecheng-11851	16	1	additionally	additionally	ADV
fumecheng-11851	16	2	,	,	PUNCT
fumecheng-11851	16	3	further	further	ADJ
fumecheng-11851	16	4	improvement	improvement	NOUN
fumecheng-11851	16	5	received	receive	VERB
fumecheng-11851	16	6	:	:	PUNCT
fumecheng-11851	16	7	january	january	PROPN
fumecheng-11851	16	8	05	05	NUM
fumecheng-11851	16	9	,	,	PUNCT
fumecheng-11851	16	10	2023	2023	NUM
fumecheng-11851	16	11	/	/	PUNCT
fumecheng-11851	16	12	accepted	accept	VERB
fumecheng-11851	16	13	april	april	PROPN
fumecheng-11851	16	14	02	02	NUM
fumecheng-11851	16	15	,	,	PUNCT
fumecheng-11851	16	16	2023	2023	NUM
fumecheng-11851	16	17	corresponding	correspond	VERB
fumecheng-11851	16	18	author	author	NOUN
fumecheng-11851	16	19	:	:	PUNCT
fumecheng-11851	16	20	predrag	predrag	PROPN
fumecheng-11851	16	21	milić	milić	PROPN
fumecheng-11851	16	22	university	university	PROPN
fumecheng-11851	16	23	of	of	ADP
fumecheng-11851	16	24	niš	niš	PROPN
fumecheng-11851	16	25	,	,	PUNCT
fumecheng-11851	16	26	faculty	faculty	NOUN
fumecheng-11851	16	27	of	of	ADP
fumecheng-11851	16	28	mechanical	mechanical	ADJ
fumecheng-11851	16	29	engineering	engineering	NOUN
fumecheng-11851	16	30	in	in	ADP
fumecheng-11851	16	31	niš	niš	PROPN
fumecheng-11851	16	32	,	,	PUNCT
fumecheng-11851	16	33	aleksandra	aleksandra	PROPN
fumecheng-11851	16	34	medvedeva	medvedeva	PROPN
fumecheng-11851	16	35	14	14	NUM
fumecheng-11851	16	36	,	,	PUNCT
fumecheng-11851	16	37	18000	18000	NUM
fumecheng-11851	16	38	niš	niš	NOUN
fumecheng-11851	16	39	,	,	PUNCT
fumecheng-11851	16	40	serbia	serbia	PROPN
fumecheng-11851	16	41	,	,	PUNCT
fumecheng-11851	16	42	e	e	NOUN
fumecheng-11851	16	43	-	-	NOUN
fumecheng-11851	16	44	mail	mail	NOUN
fumecheng-11851	16	45	:	:	PUNCT
fumecheng-11851	16	46	predrag.milic@masfak.ni.ac.rs	predrag.milic@masfak.ni.ac.rs	ADJ
fumecheng-11851	16	47	https://orcid.org/0000-0001-7778-6097	https://orcid.org/0000-0001-7778-6097	INTJ
fumecheng-11851	16	48	https://orcid.org/0000-0002-3583-9434	https://orcid.org/0000-0002-3583-9434	NOUN
fumecheng-11851	16	49	https://orcid.org/0000-0002-4581-1048	https://orcid.org/0000-0002-4581-1048	PROPN
fumecheng-11851	16	50	388	388	NUM
fumecheng-11851	16	51	p.	p.	NOUN
fumecheng-11851	16	52	milić	milić	NOUN
fumecheng-11851	16	53	,	,	PUNCT
fumecheng-11851	16	54	d.	d.	PROPN
fumecheng-11851	16	55	marinković	marinković	PROPN
fumecheng-11851	16	56	,	,	PUNCT
fumecheng-11851	16	57	ž	ž	PROPN
fumecheng-11851	16	58	.	.	PUNCT
fumecheng-11851	16	59	ćojbašić	ćojbašić	VERB
fumecheng-11851	16	60	of	of	ADP
fumecheng-11851	16	61	structural	structural	ADJ
fumecheng-11851	16	62	performance	performance	NOUN
fumecheng-11851	16	63	is	be	AUX
fumecheng-11851	16	64	provided	provide	VERB
fumecheng-11851	16	65	by	by	ADP
fumecheng-11851	16	66	incorporating	incorporate	VERB
fumecheng-11851	16	67	active	active	ADJ
fumecheng-11851	16	68	elements	element	NOUN
fumecheng-11851	16	69	made	make	VERB
fumecheng-11851	16	70	of	of	ADP
fumecheng-11851	16	71	sophisticated	sophisticated	ADJ
fumecheng-11851	16	72	multifunctional	multifunctional	ADJ
fumecheng-11851	16	73	materials	material	NOUN
fumecheng-11851	16	74	such	such	ADJ
fumecheng-11851	16	75	as	as	ADP
fumecheng-11851	16	76	piezoelectric	piezoelectric	ADJ
fumecheng-11851	16	77	materials	material	NOUN
fumecheng-11851	16	78	[	[	X
fumecheng-11851	16	79	1	1	NUM
fumecheng-11851	16	80	]	]	PUNCT
fumecheng-11851	16	81	,	,	PUNCT
fumecheng-11851	16	82	shape	shape	NOUN
fumecheng-11851	16	83	memory	memory	NOUN
fumecheng-11851	16	84	alloys	alloy	NOUN
fumecheng-11851	16	85	[	[	X
fumecheng-11851	16	86	2	2	NUM
fumecheng-11851	16	87	]	]	PUNCT
fumecheng-11851	16	88	,	,	PUNCT
fumecheng-11851	16	89	etc	etc	X
fumecheng-11851	16	90	.	.	X
fumecheng-11851	17	1	the	the	DET
fumecheng-11851	17	2	purpose	purpose	NOUN
fumecheng-11851	17	3	of	of	ADP
fumecheng-11851	17	4	adding	add	VERB
fumecheng-11851	17	5	the	the	DET
fumecheng-11851	17	6	active	active	ADJ
fumecheng-11851	17	7	elements	element	NOUN
fumecheng-11851	17	8	is	be	AUX
fumecheng-11851	17	9	to	to	PART
fumecheng-11851	17	10	make	make	VERB
fumecheng-11851	17	11	the	the	DET
fumecheng-11851	17	12	structures	structure	NOUN
fumecheng-11851	17	13	adaptive	adaptive	ADJ
fumecheng-11851	17	14	,	,	PUNCT
fumecheng-11851	17	15	and	and	CCONJ
fumecheng-11851	17	16	such	such	ADJ
fumecheng-11851	17	17	structures	structure	NOUN
fumecheng-11851	17	18	are	be	AUX
fumecheng-11851	17	19	also	also	ADV
fumecheng-11851	17	20	often	often	ADV
fumecheng-11851	17	21	popularly	popularly	ADV
fumecheng-11851	17	22	referred	refer	VERB
fumecheng-11851	17	23	to	to	ADP
fumecheng-11851	17	24	as	as	ADP
fumecheng-11851	17	25	“	"	PUNCT
fumecheng-11851	17	26	smart	smart	ADJ
fumecheng-11851	17	27	”	"	PUNCT
fumecheng-11851	17	28	.	.	PUNCT
fumecheng-11851	18	1	in	in	ADP
fumecheng-11851	18	2	this	this	DET
fumecheng-11851	18	3	way	way	NOUN
fumecheng-11851	18	4	,	,	PUNCT
fumecheng-11851	18	5	it	it	PRON
fumecheng-11851	18	6	is	be	AUX
fumecheng-11851	18	7	aimed	aim	VERB
fumecheng-11851	18	8	at	at	ADP
fumecheng-11851	18	9	an	an	DET
fumecheng-11851	18	10	essential	essential	ADJ
fumecheng-11851	18	11	change	change	NOUN
fumecheng-11851	18	12	in	in	ADP
fumecheng-11851	18	13	their	their	PRON
fumecheng-11851	18	14	behavior	behavior	NOUN
fumecheng-11851	18	15	from	from	ADP
fumecheng-11851	18	16	being	be	AUX
fumecheng-11851	18	17	only	only	ADV
fumecheng-11851	18	18	a	a	DET
fumecheng-11851	18	19	passive	passive	ADJ
fumecheng-11851	18	20	player	player	NOUN
fumecheng-11851	18	21	in	in	ADP
fumecheng-11851	18	22	the	the	DET
fumecheng-11851	18	23	deformational	deformational	ADJ
fumecheng-11851	18	24	behavior	behavior	NOUN
fumecheng-11851	18	25	to	to	ADP
fumecheng-11851	18	26	being	be	AUX
fumecheng-11851	18	27	an	an	DET
fumecheng-11851	18	28	active	active	ADJ
fumecheng-11851	18	29	player	player	NOUN
fumecheng-11851	18	30	that	that	PRON
fumecheng-11851	18	31	adapts	adapt	VERB
fumecheng-11851	18	32	to	to	ADP
fumecheng-11851	18	33	the	the	DET
fumecheng-11851	18	34	current	current	ADJ
fumecheng-11851	18	35	conditions	condition	NOUN
fumecheng-11851	18	36	.	.	PUNCT
fumecheng-11851	19	1	the	the	DET
fumecheng-11851	19	2	structures	structure	NOUN
fumecheng-11851	19	3	based	base	VERB
fumecheng-11851	19	4	on	on	ADP
fumecheng-11851	19	5	this	this	DET
fumecheng-11851	19	6	new	new	ADJ
fumecheng-11851	19	7	paradigm	paradigm	NOUN
fumecheng-11851	19	8	include	include	VERB
fumecheng-11851	19	9	elements	element	NOUN
fumecheng-11851	19	10	for	for	ADP
fumecheng-11851	19	11	monitoring	monitor	VERB
fumecheng-11851	19	12	structural	structural	ADJ
fumecheng-11851	19	13	parameters	parameter	NOUN
fumecheng-11851	19	14	(	(	PUNCT
fumecheng-11851	19	15	sensors	sensor	NOUN
fumecheng-11851	19	16	)	)	PUNCT
fumecheng-11851	19	17	,	,	PUNCT
fumecheng-11851	19	18	elements	element	NOUN
fumecheng-11851	19	19	that	that	PRON
fumecheng-11851	19	20	process	process	VERB
fumecheng-11851	19	21	signals	signal	NOUN
fumecheng-11851	19	22	(	(	PUNCT
fumecheng-11851	19	23	controllers	controller	NOUN
fumecheng-11851	19	24	)	)	PUNCT
fumecheng-11851	19	25	,	,	PUNCT
fumecheng-11851	19	26	and	and	CCONJ
fumecheng-11851	19	27	elements	element	NOUN
fumecheng-11851	19	28	that	that	PRON
fumecheng-11851	19	29	act	act	VERB
fumecheng-11851	19	30	onto	onto	ADP
fumecheng-11851	19	31	the	the	DET
fumecheng-11851	19	32	structure	structure	NOUN
fumecheng-11851	19	33	so	so	SCONJ
fumecheng-11851	19	34	as	as	SCONJ
fumecheng-11851	19	35	to	to	PART
fumecheng-11851	19	36	influence	influence	VERB
fumecheng-11851	19	37	their	their	PRON
fumecheng-11851	19	38	behavior	behavior	NOUN
fumecheng-11851	19	39	[	[	X
fumecheng-11851	19	40	3	3	NUM
fumecheng-11851	19	41	]	]	PUNCT
fumecheng-11851	19	42	.	.	PUNCT
fumecheng-11851	20	1	the	the	DET
fumecheng-11851	20	2	application	application	NOUN
fumecheng-11851	20	3	of	of	ADP
fumecheng-11851	20	4	this	this	DET
fumecheng-11851	20	5	type	type	NOUN
fumecheng-11851	20	6	of	of	ADP
fumecheng-11851	20	7	structures	structure	NOUN
fumecheng-11851	20	8	is	be	AUX
fumecheng-11851	20	9	quite	quite	ADV
fumecheng-11851	20	10	broad	broad	ADJ
fumecheng-11851	20	11	,	,	PUNCT
fumecheng-11851	20	12	thus	thus	ADV
fumecheng-11851	20	13	covering	cover	VERB
fumecheng-11851	20	14	various	various	ADJ
fumecheng-11851	20	15	fields	field	NOUN
fumecheng-11851	20	16	,	,	PUNCT
fumecheng-11851	20	17	including	include	VERB
fumecheng-11851	20	18	energy	energy	NOUN
fumecheng-11851	20	19	harvesting	harvesting	NOUN
fumecheng-11851	20	20	[	[	X
fumecheng-11851	20	21	4	4	NUM
fumecheng-11851	20	22	]	]	PUNCT
fumecheng-11851	20	23	,	,	PUNCT
fumecheng-11851	20	24	robotics	robotic	NOUN
fumecheng-11851	20	25	[	[	X
fumecheng-11851	20	26	5	5	NUM
fumecheng-11851	20	27	]	]	PUNCT
fumecheng-11851	20	28	,	,	PUNCT
fumecheng-11851	20	29	space	space	NOUN
fumecheng-11851	20	30	technologies	technology	NOUN
fumecheng-11851	20	31	[	[	X
fumecheng-11851	20	32	6	6	NUM
fumecheng-11851	20	33	]	]	PUNCT
fumecheng-11851	20	34	,	,	PUNCT
fumecheng-11851	20	35	automotive	automotive	ADJ
fumecheng-11851	20	36	[	[	X
fumecheng-11851	20	37	7	7	NUM
fumecheng-11851	20	38	]	]	PUNCT
fumecheng-11851	20	39	,	,	PUNCT
fumecheng-11851	20	40	etc	etc	X
fumecheng-11851	20	41	.	.	X
fumecheng-11851	21	1	a	a	DET
fumecheng-11851	21	2	design	design	NOUN
fumecheng-11851	21	3	based	base	VERB
fumecheng-11851	21	4	on	on	ADP
fumecheng-11851	21	5	thin	thin	ADJ
fumecheng-11851	21	6	walls	wall	NOUN
fumecheng-11851	21	7	is	be	AUX
fumecheng-11851	21	8	the	the	DET
fumecheng-11851	21	9	most	most	ADV
fumecheng-11851	21	10	natural	natural	ADJ
fumecheng-11851	21	11	way	way	NOUN
fumecheng-11851	21	12	of	of	ADP
fumecheng-11851	21	13	producing	produce	VERB
fumecheng-11851	21	14	a	a	DET
fumecheng-11851	21	15	lightweight	lightweight	ADJ
fumecheng-11851	21	16	structure	structure	NOUN
fumecheng-11851	21	17	,	,	PUNCT
fumecheng-11851	21	18	particularly	particularly	ADV
fumecheng-11851	21	19	if	if	SCONJ
fumecheng-11851	21	20	a	a	DET
fumecheng-11851	21	21	structure	structure	NOUN
fumecheng-11851	21	22	is	be	AUX
fumecheng-11851	21	23	made	make	VERB
fumecheng-11851	21	24	of	of	ADP
fumecheng-11851	21	25	a	a	DET
fumecheng-11851	21	26	fiber	fiber	NOUN
fumecheng-11851	21	27	-	-	PUNCT
fumecheng-11851	21	28	reinforced	reinforce	VERB
fumecheng-11851	21	29	composite	composite	NOUN
fumecheng-11851	21	30	.	.	PUNCT
fumecheng-11851	22	1	this	this	DET
fumecheng-11851	22	2	approach	approach	NOUN
fumecheng-11851	22	3	,	,	PUNCT
fumecheng-11851	22	4	on	on	ADP
fumecheng-11851	22	5	the	the	DET
fumecheng-11851	22	6	other	other	ADJ
fumecheng-11851	22	7	hand	hand	NOUN
fumecheng-11851	22	8	,	,	PUNCT
fumecheng-11851	22	9	may	may	AUX
fumecheng-11851	22	10	increase	increase	VERB
fumecheng-11851	22	11	lateral	lateral	ADJ
fumecheng-11851	22	12	flexibility	flexibility	NOUN
fumecheng-11851	22	13	,	,	PUNCT
fumecheng-11851	22	14	thus	thus	ADV
fumecheng-11851	22	15	significantly	significantly	ADV
fumecheng-11851	22	16	affecting	affect	VERB
fumecheng-11851	22	17	deformational	deformational	ADJ
fumecheng-11851	22	18	behavior	behavior	NOUN
fumecheng-11851	22	19	of	of	ADP
fumecheng-11851	22	20	those	those	DET
fumecheng-11851	22	21	structures	structure	NOUN
fumecheng-11851	22	22	,	,	PUNCT
fumecheng-11851	22	23	especially	especially	ADV
fumecheng-11851	22	24	their	their	PRON
fumecheng-11851	22	25	dynamic	dynamic	ADJ
fumecheng-11851	22	26	behavior	behavior	NOUN
fumecheng-11851	22	27	being	be	AUX
fumecheng-11851	22	28	affected	affect	VERB
fumecheng-11851	22	29	[	[	PUNCT
fumecheng-11851	22	30	8	8	NUM
fumecheng-11851	22	31	]	]	PUNCT
fumecheng-11851	22	32	.	.	PUNCT
fumecheng-11851	23	1	hence	hence	ADV
fumecheng-11851	23	2	,	,	PUNCT
fumecheng-11851	23	3	the	the	DET
fumecheng-11851	23	4	most	most	ADV
fumecheng-11851	23	5	common	common	ADJ
fumecheng-11851	23	6	objective	objective	NOUN
fumecheng-11851	23	7	of	of	ADP
fumecheng-11851	23	8	adding	add	VERB
fumecheng-11851	23	9	the	the	DET
fumecheng-11851	23	10	active	active	ADJ
fumecheng-11851	23	11	elements	element	NOUN
fumecheng-11851	23	12	is	be	AUX
fumecheng-11851	23	13	to	to	PART
fumecheng-11851	23	14	positively	positively	ADV
fumecheng-11851	23	15	influence	influence	VERB
fumecheng-11851	23	16	the	the	DET
fumecheng-11851	23	17	dynamic	dynamic	ADJ
fumecheng-11851	23	18	behavior	behavior	NOUN
fumecheng-11851	23	19	of	of	ADP
fumecheng-11851	23	20	these	these	DET
fumecheng-11851	23	21	structures	structure	NOUN
fumecheng-11851	23	22	with	with	ADP
fumecheng-11851	23	23	the	the	DET
fumecheng-11851	23	24	aim	aim	NOUN
fumecheng-11851	23	25	of	of	ADP
fumecheng-11851	23	26	diminishing	diminish	VERB
fumecheng-11851	23	27	their	their	PRON
fumecheng-11851	23	28	vibrations	vibration	NOUN
fumecheng-11851	23	29	and	and	CCONJ
fumecheng-11851	23	30	thus	thus	ADV
fumecheng-11851	23	31	improve	improve	VERB
fumecheng-11851	23	32	their	their	PRON
fumecheng-11851	23	33	safety	safety	NOUN
fumecheng-11851	23	34	and	and	CCONJ
fumecheng-11851	23	35	robustness	robustness	NOUN
fumecheng-11851	23	36	,	,	PUNCT
fumecheng-11851	23	37	reduce	reduce	VERB
fumecheng-11851	23	38	noise	noise	NOUN
fumecheng-11851	23	39	emission	emission	NOUN
fumecheng-11851	23	40	,	,	PUNCT
fumecheng-11851	23	41	improve	improve	VERB
fumecheng-11851	23	42	their	their	PRON
fumecheng-11851	23	43	life	life	NOUN
fumecheng-11851	23	44	span	span	NOUN
fumecheng-11851	23	45	,	,	PUNCT
fumecheng-11851	23	46	etc	etc	X
fumecheng-11851	23	47	.	.	X
fumecheng-11851	24	1	the	the	DET
fumecheng-11851	24	2	finite	finite	PROPN
fumecheng-11851	24	3	element	element	NOUN
fumecheng-11851	24	4	method	method	NOUN
fumecheng-11851	24	5	is	be	AUX
fumecheng-11851	24	6	currently	currently	ADV
fumecheng-11851	24	7	one	one	NUM
fumecheng-11851	24	8	of	of	ADP
fumecheng-11851	24	9	the	the	DET
fumecheng-11851	24	10	most	most	ADV
fumecheng-11851	24	11	advanced	advanced	ADJ
fumecheng-11851	24	12	methods	method	NOUN
fumecheng-11851	24	13	in	in	ADP
fumecheng-11851	24	14	the	the	DET
fumecheng-11851	24	15	field	field	NOUN
fumecheng-11851	24	16	of	of	ADP
fumecheng-11851	24	17	structural	structural	ADJ
fumecheng-11851	24	18	analysis	analysis	NOUN
fumecheng-11851	24	19	.	.	PUNCT
fumecheng-11851	25	1	in	in	ADP
fumecheng-11851	25	2	the	the	DET
fumecheng-11851	25	3	beginning	beginning	NOUN
fumecheng-11851	25	4	,	,	PUNCT
fumecheng-11851	25	5	the	the	DET
fumecheng-11851	25	6	developed	develop	VERB
fumecheng-11851	25	7	elements	element	NOUN
fumecheng-11851	25	8	were	be	AUX
fumecheng-11851	25	9	aimed	aim	VERB
fumecheng-11851	25	10	at	at	ADP
fumecheng-11851	25	11	purely	purely	ADV
fumecheng-11851	25	12	mechanical	mechanical	ADJ
fumecheng-11851	25	13	problems	problem	NOUN
fumecheng-11851	25	14	.	.	PUNCT
fumecheng-11851	26	1	in	in	ADP
fumecheng-11851	26	2	recent	recent	ADJ
fumecheng-11851	26	3	decades	decade	NOUN
fumecheng-11851	26	4	,	,	PUNCT
fumecheng-11851	26	5	multidisciplinary	multidisciplinary	ADJ
fumecheng-11851	26	6	approaches	approach	NOUN
fumecheng-11851	26	7	gained	gain	VERB
fumecheng-11851	26	8	in	in	ADP
fumecheng-11851	26	9	significance	significance	NOUN
fumecheng-11851	26	10	and	and	CCONJ
fumecheng-11851	26	11	the	the	DET
fumecheng-11851	26	12	developments	development	NOUN
fumecheng-11851	26	13	needed	need	VERB
fumecheng-11851	26	14	to	to	PART
fumecheng-11851	26	15	cover	cover	VERB
fumecheng-11851	26	16	coupled	couple	VERB
fumecheng-11851	26	17	-	-	PUNCT
fumecheng-11851	26	18	field	field	NOUN
fumecheng-11851	26	19	problems	problem	NOUN
fumecheng-11851	26	20	.	.	PUNCT
fumecheng-11851	27	1	the	the	DET
fumecheng-11851	27	2	previous	previous	ADJ
fumecheng-11851	27	3	two	two	NUM
fumecheng-11851	27	4	decades	decade	NOUN
fumecheng-11851	27	5	have	have	AUX
fumecheng-11851	27	6	seen	see	VERB
fumecheng-11851	27	7	numerous	numerous	ADJ
fumecheng-11851	27	8	developments	development	NOUN
fumecheng-11851	27	9	of	of	ADP
fumecheng-11851	27	10	robust	robust	ADJ
fumecheng-11851	27	11	,	,	PUNCT
fumecheng-11851	27	12	accurate	accurate	ADJ
fumecheng-11851	27	13	and	and	CCONJ
fumecheng-11851	27	14	efficient	efficient	ADJ
fumecheng-11851	27	15	formulations	formulation	NOUN
fumecheng-11851	27	16	and	and	CCONJ
fumecheng-11851	27	17	finite	finite	ADJ
fumecheng-11851	27	18	elements	element	NOUN
fumecheng-11851	27	19	for	for	ADP
fumecheng-11851	27	20	modeling	model	VERB
fumecheng-11851	27	21	piezoelectric	piezoelectric	NOUN
fumecheng-11851	27	22	structures	structure	NOUN
fumecheng-11851	27	23	characterized	characterize	VERB
fumecheng-11851	27	24	by	by	ADP
fumecheng-11851	27	25	electromechanical	electromechanical	ADJ
fumecheng-11851	27	26	coupled	couple	VERB
fumecheng-11851	27	27	field	field	NOUN
fumecheng-11851	27	28	effects	effect	NOUN
fumecheng-11851	27	29	[	[	X
fumecheng-11851	27	30	9	9	NUM
fumecheng-11851	27	31	,	,	PUNCT
fumecheng-11851	27	32	10	10	NUM
fumecheng-11851	27	33	,	,	PUNCT
fumecheng-11851	27	34	11	11	NUM
fumecheng-11851	27	35	,	,	PUNCT
fumecheng-11851	27	36	12	12	NUM
fumecheng-11851	27	37	]	]	PUNCT
fumecheng-11851	27	38	.	.	PUNCT
fumecheng-11851	28	1	various	various	ADJ
fumecheng-11851	28	2	2d	2d	PROPN
fumecheng-11851	28	3	theories	theory	NOUN
fumecheng-11851	28	4	have	have	AUX
fumecheng-11851	28	5	been	be	AUX
fumecheng-11851	28	6	developed	develop	VERB
fumecheng-11851	28	7	and	and	CCONJ
fumecheng-11851	28	8	applied	apply	VERB
fumecheng-11851	28	9	to	to	ADP
fumecheng-11851	28	10	modeling	modeling	NOUN
fumecheng-11851	28	11	and	and	CCONJ
fumecheng-11851	28	12	simulation	simulation	NOUN
fumecheng-11851	28	13	of	of	ADP
fumecheng-11851	28	14	thinwalled	thinwalled	ADJ
fumecheng-11851	28	15	structures	structure	NOUN
fumecheng-11851	28	16	[	[	X
fumecheng-11851	28	17	13	13	NUM
fumecheng-11851	28	18	]	]	PUNCT
fumecheng-11851	28	19	.	.	PUNCT
fumecheng-11851	29	1	while	while	SCONJ
fumecheng-11851	29	2	the	the	DET
fumecheng-11851	29	3	classical	classical	ADJ
fumecheng-11851	29	4	laminate	laminate	NOUN
fumecheng-11851	29	5	theory	theory	NOUN
fumecheng-11851	29	6	is	be	AUX
fumecheng-11851	29	7	appealing	appeal	VERB
fumecheng-11851	29	8	due	due	ADP
fumecheng-11851	29	9	to	to	ADP
fumecheng-11851	29	10	less	less	ADJ
fumecheng-11851	29	11	nodal	nodal	NOUN
fumecheng-11851	29	12	degrees	degree	NOUN
fumecheng-11851	29	13	of	of	ADP
fumecheng-11851	29	14	freedom	freedom	NOUN
fumecheng-11851	29	15	required	require	VERB
fumecheng-11851	29	16	,	,	PUNCT
fumecheng-11851	29	17	the	the	DET
fumecheng-11851	29	18	higher	high	ADJ
fumecheng-11851	29	19	order	order	NOUN
fumecheng-11851	29	20	of	of	ADP
fumecheng-11851	29	21	continuity	continuity	NOUN
fumecheng-11851	29	22	of	of	ADP
fumecheng-11851	29	23	the	the	DET
fumecheng-11851	29	24	shape	shape	NOUN
fumecheng-11851	29	25	functions	function	NOUN
fumecheng-11851	29	26	is	be	AUX
fumecheng-11851	29	27	the	the	DET
fumecheng-11851	29	28	major	major	ADJ
fumecheng-11851	29	29	obstacle	obstacle	NOUN
fumecheng-11851	29	30	in	in	ADP
fumecheng-11851	29	31	its	its	PRON
fumecheng-11851	29	32	implementation	implementation	NOUN
fumecheng-11851	29	33	into	into	ADP
fumecheng-11851	29	34	the	the	DET
fumecheng-11851	29	35	fem	fem	NOUN
fumecheng-11851	29	36	.	.	PUNCT
fumecheng-11851	30	1	despite	despite	SCONJ
fumecheng-11851	30	2	of	of	ADP
fumecheng-11851	30	3	that	that	PRON
fumecheng-11851	30	4	,	,	PUNCT
fumecheng-11851	30	5	the	the	DET
fumecheng-11851	30	6	issue	issue	NOUN
fumecheng-11851	30	7	was	be	AUX
fumecheng-11851	30	8	addressed	address	VERB
fumecheng-11851	30	9	in	in	ADP
fumecheng-11851	30	10	a	a	DET
fumecheng-11851	30	11	discretized	discretized	ADJ
fumecheng-11851	30	12	form	form	NOUN
fumecheng-11851	30	13	by	by	ADP
fumecheng-11851	30	14	some	some	DET
fumecheng-11851	30	15	authors	author	NOUN
fumecheng-11851	30	16	[	[	X
fumecheng-11851	30	17	14	14	NUM
fumecheng-11851	30	18	]	]	PUNCT
fumecheng-11851	30	19	.	.	PUNCT
fumecheng-11851	31	1	most	most	ADJ
fumecheng-11851	31	2	of	of	ADP
fumecheng-11851	31	3	the	the	DET
fumecheng-11851	31	4	authors	author	NOUN
fumecheng-11851	31	5	turned	turn	VERB
fumecheng-11851	31	6	their	their	PRON
fumecheng-11851	31	7	attention	attention	NOUN
fumecheng-11851	31	8	to	to	ADP
fumecheng-11851	31	9	the	the	DET
fumecheng-11851	31	10	firstorder	firstorder	NOUN
fumecheng-11851	31	11	shear	shear	ADJ
fumecheng-11851	31	12	deformation	deformation	NOUN
fumecheng-11851	31	13	theory	theory	NOUN
fumecheng-11851	31	14	,	,	PUNCT
fumecheng-11851	31	15	which	which	PRON
fumecheng-11851	31	16	is	be	AUX
fumecheng-11851	31	17	due	due	ADJ
fumecheng-11851	31	18	to	to	ADP
fumecheng-11851	31	19	both	both	PRON
fumecheng-11851	31	20	,	,	PUNCT
fumecheng-11851	31	21	the	the	DET
fumecheng-11851	31	22	better	well	ADJ
fumecheng-11851	31	23	suitability	suitability	NOUN
fumecheng-11851	31	24	of	of	ADP
fumecheng-11851	31	25	the	the	DET
fumecheng-11851	31	26	theory	theory	NOUN
fumecheng-11851	31	27	for	for	ADP
fumecheng-11851	31	28	laminated	laminated	ADJ
fumecheng-11851	31	29	structures	structure	NOUN
fumecheng-11851	31	30	(	(	PUNCT
fumecheng-11851	31	31	prone	prone	ADJ
fumecheng-11851	31	32	to	to	ADP
fumecheng-11851	31	33	the	the	DET
fumecheng-11851	31	34	transverse	transverse	ADJ
fumecheng-11851	31	35	shear	shear	NOUN
fumecheng-11851	31	36	effects	effect	NOUN
fumecheng-11851	31	37	)	)	PUNCT
fumecheng-11851	31	38	and	and	CCONJ
fumecheng-11851	31	39	the	the	DET
fumecheng-11851	31	40	required	required	ADJ
fumecheng-11851	31	41	c0	c0	NOUN
fumecheng-11851	31	42	-	-	PUNCT
fumecheng-11851	31	43	continuity	continuity	NOUN
fumecheng-11851	31	44	of	of	ADP
fumecheng-11851	31	45	the	the	DET
fumecheng-11851	31	46	shape	shape	NOUN
fumecheng-11851	31	47	functions	function	NOUN
fumecheng-11851	31	48	[	[	X
fumecheng-11851	31	49	15	15	NUM
fumecheng-11851	31	50	,	,	PUNCT
fumecheng-11851	31	51	16	16	NUM
fumecheng-11851	31	52	]	]	PUNCT
fumecheng-11851	31	53	.	.	PUNCT
fumecheng-11851	32	1	taking	take	VERB
fumecheng-11851	32	2	an	an	DET
fumecheng-11851	32	3	improved	improved	ADJ
fumecheng-11851	32	4	accuracy	accuracy	NOUN
fumecheng-11851	32	5	and	and	CCONJ
fumecheng-11851	32	6	a	a	DET
fumecheng-11851	32	7	more	more	ADV
fumecheng-11851	32	8	consistent	consistent	ADJ
fumecheng-11851	32	9	description	description	NOUN
fumecheng-11851	32	10	of	of	ADP
fumecheng-11851	32	11	the	the	DET
fumecheng-11851	32	12	transverse	transverse	ADJ
fumecheng-11851	32	13	shear	shear	NOUN
fumecheng-11851	32	14	effects	effect	NOUN
fumecheng-11851	32	15	as	as	ADP
fumecheng-11851	32	16	the	the	DET
fumecheng-11851	32	17	main	main	ADJ
fumecheng-11851	32	18	objectives	objective	NOUN
fumecheng-11851	32	19	,	,	PUNCT
fumecheng-11851	32	20	some	some	DET
fumecheng-11851	32	21	authors	author	NOUN
fumecheng-11851	32	22	based	base	VERB
fumecheng-11851	32	23	their	their	PRON
fumecheng-11851	32	24	developments	development	NOUN
fumecheng-11851	32	25	on	on	ADP
fumecheng-11851	32	26	higher	high	ADJ
fumecheng-11851	32	27	-	-	PUNCT
fumecheng-11851	32	28	order	order	NOUN
fumecheng-11851	32	29	shear	shear	NOUN
fumecheng-11851	32	30	deformation	deformation	NOUN
fumecheng-11851	32	31	theories	theory	NOUN
fumecheng-11851	32	32	[	[	X
fumecheng-11851	32	33	17	17	NUM
fumecheng-11851	32	34	,	,	PUNCT
fumecheng-11851	32	35	18	18	NUM
fumecheng-11851	32	36	]	]	PUNCT
fumecheng-11851	32	37	.	.	PUNCT
fumecheng-11851	33	1	the	the	DET
fumecheng-11851	33	2	numerical	numerical	ADJ
fumecheng-11851	33	3	effort	effort	NOUN
fumecheng-11851	33	4	associated	associate	VERB
fumecheng-11851	33	5	with	with	ADP
fumecheng-11851	33	6	these	these	DET
fumecheng-11851	33	7	theories	theory	NOUN
fumecheng-11851	33	8	,	,	PUNCT
fumecheng-11851	33	9	which	which	PRON
fumecheng-11851	33	10	is	be	AUX
fumecheng-11851	33	11	not	not	PART
fumecheng-11851	33	12	far	far	ADV
fumecheng-11851	33	13	away	away	ADV
fumecheng-11851	33	14	from	from	ADP
fumecheng-11851	33	15	the	the	DET
fumecheng-11851	33	16	full	full	ADJ
fumecheng-11851	33	17	3d	3d	PROPN
fumecheng-11851	33	18	approach	approach	NOUN
fumecheng-11851	33	19	,	,	PUNCT
fumecheng-11851	33	20	is	be	AUX
fumecheng-11851	33	21	the	the	DET
fumecheng-11851	33	22	obvious	obvious	ADJ
fumecheng-11851	33	23	disadvantage	disadvantage	NOUN
fumecheng-11851	33	24	.	.	PUNCT
fumecheng-11851	34	1	besides	besides	SCONJ
fumecheng-11851	34	2	these	these	DET
fumecheng-11851	34	3	efforts	effort	NOUN
fumecheng-11851	34	4	,	,	PUNCT
fumecheng-11851	34	5	the	the	DET
fumecheng-11851	34	6	need	need	NOUN
fumecheng-11851	34	7	to	to	PART
fumecheng-11851	34	8	cover	cover	VERB
fumecheng-11851	34	9	geometrically	geometrically	ADV
fumecheng-11851	34	10	nonlinear	nonlinear	ADJ
fumecheng-11851	34	11	effects	effect	NOUN
fumecheng-11851	34	12	was	be	AUX
fumecheng-11851	34	13	recognized	recognize	VERB
fumecheng-11851	34	14	recently	recently	ADV
fumecheng-11851	34	15	and	and	CCONJ
fumecheng-11851	34	16	a	a	DET
fumecheng-11851	34	17	number	number	NOUN
fumecheng-11851	34	18	of	of	ADP
fumecheng-11851	34	19	developments	development	NOUN
fumecheng-11851	34	20	were	be	AUX
fumecheng-11851	34	21	reported	report	VERB
fumecheng-11851	34	22	in	in	ADP
fumecheng-11851	34	23	this	this	DET
fumecheng-11851	34	24	direction	direction	NOUN
fumecheng-11851	35	1	[	[	X
fumecheng-11851	35	2	19	19	NUM
fumecheng-11851	35	3	,	,	PUNCT
fumecheng-11851	35	4	20	20	NUM
fumecheng-11851	35	5	]	]	PUNCT
fumecheng-11851	35	6	.	.	PUNCT
fumecheng-11851	36	1	recent	recent	ADJ
fumecheng-11851	36	2	papers	paper	NOUN
fumecheng-11851	36	3	were	be	AUX
fumecheng-11851	36	4	dedicated	dedicate	VERB
fumecheng-11851	36	5	to	to	ADP
fumecheng-11851	36	6	the	the	DET
fumecheng-11851	36	7	co	co	ADJ
fumecheng-11851	36	8	-	-	ADJ
fumecheng-11851	36	9	rotational	rotational	ADJ
fumecheng-11851	36	10	fe	fe	NOUN
fumecheng-11851	36	11	formulation	formulation	NOUN
fumecheng-11851	36	12	for	for	ADP
fumecheng-11851	36	13	both	both	CCONJ
fumecheng-11851	36	14	passive	passive	ADJ
fumecheng-11851	36	15	and	and	CCONJ
fumecheng-11851	36	16	active	active	ADJ
fumecheng-11851	36	17	shell	shell	NOUN
fumecheng-11851	36	18	structures	structure	NOUN
fumecheng-11851	36	19	[	[	X
fumecheng-11851	36	20	21	21	NUM
fumecheng-11851	36	21	,	,	PUNCT
fumecheng-11851	36	22	22	22	NUM
fumecheng-11851	36	23	]	]	PUNCT
fumecheng-11851	36	24	.	.	PUNCT
fumecheng-11851	37	1	another	another	DET
fumecheng-11851	37	2	relatively	relatively	ADV
fumecheng-11851	37	3	recent	recent	ADJ
fumecheng-11851	37	4	and	and	CCONJ
fumecheng-11851	37	5	quite	quite	ADV
fumecheng-11851	37	6	interesting	interesting	ADJ
fumecheng-11851	37	7	approach	approach	NOUN
fumecheng-11851	37	8	is	be	AUX
fumecheng-11851	37	9	denoted	denote	VERB
fumecheng-11851	37	10	as	as	ADP
fumecheng-11851	37	11	isogeometric	isogeometric	ADJ
fumecheng-11851	37	12	analysis	analysis	NOUN
fumecheng-11851	37	13	.	.	PUNCT
fumecheng-11851	38	1	it	it	PRON
fumecheng-11851	38	2	is	be	AUX
fumecheng-11851	38	3	originally	originally	ADV
fumecheng-11851	38	4	proposed	propose	VERB
fumecheng-11851	38	5	by	by	ADP
fumecheng-11851	38	6	hughes	hughes	PROPN
fumecheng-11851	38	7	et	et	PROPN
fumecheng-11851	38	8	al	al	PROPN
fumecheng-11851	38	9	.	.	PUNCT
fumecheng-11851	39	1	[	[	X
fumecheng-11851	39	2	23	23	NUM
fumecheng-11851	39	3	]	]	PUNCT
fumecheng-11851	39	4	and	and	CCONJ
fumecheng-11851	39	5	aims	aim	VERB
fumecheng-11851	39	6	at	at	ADP
fumecheng-11851	39	7	seamless	seamless	ADJ
fumecheng-11851	39	8	integration	integration	NOUN
fumecheng-11851	39	9	of	of	ADP
fumecheng-11851	39	10	the	the	DET
fumecheng-11851	39	11	cad	cad	PROPN
fumecheng-11851	39	12	geometry	geometry	NOUN
fumecheng-11851	39	13	into	into	ADP
fumecheng-11851	39	14	the	the	DET
fumecheng-11851	39	15	fe	fe	NOUN
fumecheng-11851	39	16	models	model	NOUN
fumecheng-11851	39	17	.	.	PUNCT
fumecheng-11851	40	1	the	the	DET
fumecheng-11851	40	2	most	most	ADV
fumecheng-11851	40	3	distinctive	distinctive	ADJ
fumecheng-11851	40	4	property	property	NOUN
fumecheng-11851	40	5	of	of	ADP
fumecheng-11851	40	6	this	this	DET
fumecheng-11851	40	7	approach	approach	NOUN
fumecheng-11851	40	8	is	be	AUX
fumecheng-11851	40	9	that	that	SCONJ
fumecheng-11851	40	10	the	the	DET
fumecheng-11851	40	11	actual	actual	ADJ
fumecheng-11851	40	12	,	,	PUNCT
fumecheng-11851	40	13	i.e.	i.e.	X
fumecheng-11851	40	14	cad	cad	X
fumecheng-11851	40	15	geometry	geometry	NOUN
fumecheng-11851	40	16	remains	remain	VERB
fumecheng-11851	40	17	unchanged	unchanged	ADJ
fumecheng-11851	40	18	upon	upon	SCONJ
fumecheng-11851	40	19	the	the	DET
fumecheng-11851	40	20	fe	fe	PROPN
fumecheng-11851	40	21	discretization	discretization	NOUN
fumecheng-11851	40	22	.	.	PUNCT
fumecheng-11851	41	1	development	development	NOUN
fumecheng-11851	41	2	of	of	ADP
fumecheng-11851	41	3	isogeometric	isogeometric	PROPN
fumecheng-11851	41	4	fe	fe	PROPN
fumecheng-11851	41	5	formulations	formulation	NOUN
fumecheng-11851	41	6	relying	rely	VERB
fumecheng-11851	41	7	on	on	ADP
fumecheng-11851	41	8	both	both	CCONJ
fumecheng-11851	41	9	the	the	DET
fumecheng-11851	41	10	classical	classical	ADJ
fumecheng-11851	41	11	laminate	laminate	NOUN
fumecheng-11851	41	12	theory	theory	NOUN
fumecheng-11851	41	13	based	base	VERB
fumecheng-11851	41	14	on	on	ADP
fumecheng-11851	41	15	the	the	DET
fumecheng-11851	41	16	kirchhoff	kirchhoff	NOUN
fumecheng-11851	41	17	-	-	PUNCT
fumecheng-11851	41	18	love	love	NOUN
fumecheng-11851	41	19	kinematics	kinematic	NOUN
fumecheng-11851	42	1	[	[	X
fumecheng-11851	42	2	24	24	NUM
fumecheng-11851	42	3	,	,	PUNCT
fumecheng-11851	42	4	25	25	NUM
fumecheng-11851	42	5	]	]	PUNCT
fumecheng-11851	42	6	,	,	PUNCT
fumecheng-11851	42	7	and	and	CCONJ
fumecheng-11851	42	8	the	the	DET
fumecheng-11851	42	9	first	first	ADJ
fumecheng-11851	42	10	-	-	PUNCT
fumecheng-11851	42	11	order	order	NOUN
fumecheng-11851	42	12	shear	shear	NOUN
fumecheng-11851	42	13	deformation	deformation	NOUN
fumecheng-11851	42	14	theory	theory	NOUN
fumecheng-11851	42	15	based	base	VERB
fumecheng-11851	42	16	on	on	ADP
fumecheng-11851	42	17	the	the	DET
fumecheng-11851	42	18	mindlin	mindlin	NOUN
fumecheng-11851	42	19	-	-	PUNCT
fumecheng-11851	42	20	reissner	reissner	NOUN
fumecheng-11851	42	21	kinematics	kinematic	NOUN
fumecheng-11851	42	22	[	[	X
fumecheng-11851	42	23	26	26	NUM
fumecheng-11851	42	24	]	]	PUNCT
fumecheng-11851	42	25	,	,	PUNCT
fumecheng-11851	42	26	were	be	AUX
fumecheng-11851	42	27	reported	report	VERB
fumecheng-11851	42	28	.	.	PUNCT
fumecheng-11851	43	1	the	the	DET
fumecheng-11851	43	2	same	same	ADJ
fumecheng-11851	43	3	is	be	AUX
fumecheng-11851	43	4	valid	valid	ADJ
fumecheng-11851	43	5	for	for	ADP
fumecheng-11851	43	6	geometrically	geometrically	ADV
fumecheng-11851	43	7	nonlinear	nonlinear	ADJ
fumecheng-11851	43	8	analysis	analysis	NOUN
fumecheng-11851	43	9	of	of	ADP
fumecheng-11851	43	10	piezoelectric	piezoelectric	ADJ
fumecheng-11851	43	11	active	active	ADJ
fumecheng-11851	43	12	laminated	laminate	VERB
fumecheng-11851	43	13	shells	shell	NOUN
fumecheng-11851	43	14	by	by	ADP
fumecheng-11851	43	15	means	mean	NOUN
fumecheng-11851	43	16	of	of	ADP
fumecheng-11851	43	17	isogeometric	isogeometric	ADJ
fumecheng-11851	43	18	...	...	PUNCT
fumecheng-11851	43	19	389	389	NUM
fumecheng-11851	43	20	higher	high	ADJ
fumecheng-11851	43	21	-	-	PUNCT
fumecheng-11851	43	22	order	order	NOUN
fumecheng-11851	43	23	theories	theory	NOUN
fumecheng-11851	43	24	[	[	X
fumecheng-11851	43	25	27	27	NUM
fumecheng-11851	43	26	]	]	PUNCT
fumecheng-11851	43	27	.	.	PUNCT
fumecheng-11851	44	1	isogeometric	isogeometric	PROPN
fumecheng-11851	44	2	fe	fe	PROPN
fumecheng-11851	44	3	formulations	formulation	NOUN
fumecheng-11851	44	4	for	for	ADP
fumecheng-11851	44	5	composite	composite	ADJ
fumecheng-11851	44	6	laminates	laminate	NOUN
fumecheng-11851	44	7	were	be	AUX
fumecheng-11851	44	8	also	also	ADV
fumecheng-11851	44	9	reported	report	VERB
fumecheng-11851	44	10	[	[	X
fumecheng-11851	44	11	28	28	NUM
fumecheng-11851	44	12	,	,	PUNCT
fumecheng-11851	44	13	29	29	NUM
fumecheng-11851	44	14	]	]	PUNCT
fumecheng-11851	44	15	.	.	PUNCT
fumecheng-11851	45	1	this	this	DET
fumecheng-11851	45	2	paper	paper	NOUN
fumecheng-11851	45	3	aims	aim	VERB
fumecheng-11851	45	4	at	at	ADP
fumecheng-11851	45	5	a	a	DET
fumecheng-11851	45	6	geometrically	geometrically	ADV
fumecheng-11851	45	7	nonlinear	nonlinear	ADJ
fumecheng-11851	45	8	isogeometric	isogeometric	ADJ
fumecheng-11851	45	9	formulation	formulation	NOUN
fumecheng-11851	45	10	for	for	ADP
fumecheng-11851	45	11	shell	shell	ADJ
fumecheng-11851	45	12	type	type	NOUN
fumecheng-11851	45	13	of	of	ADP
fumecheng-11851	45	14	structures	structure	NOUN
fumecheng-11851	45	15	made	make	VERB
fumecheng-11851	45	16	of	of	ADP
fumecheng-11851	45	17	composite	composite	ADJ
fumecheng-11851	45	18	laminates	laminate	NOUN
fumecheng-11851	45	19	with	with	ADP
fumecheng-11851	45	20	embedded	embed	VERB
fumecheng-11851	45	21	piezoelectric	piezoelectric	ADJ
fumecheng-11851	45	22	layers	layer	NOUN
fumecheng-11851	45	23	that	that	PRON
fumecheng-11851	45	24	may	may	AUX
fumecheng-11851	45	25	act	act	VERB
fumecheng-11851	45	26	both	both	PRON
fumecheng-11851	45	27	as	as	ADP
fumecheng-11851	45	28	actuators	actuator	NOUN
fumecheng-11851	45	29	and	and	CCONJ
fumecheng-11851	45	30	sensors	sensor	NOUN
fumecheng-11851	45	31	.	.	PUNCT
fumecheng-11851	46	1	it	it	PRON
fumecheng-11851	46	2	represents	represent	VERB
fumecheng-11851	46	3	an	an	DET
fumecheng-11851	46	4	extension	extension	NOUN
fumecheng-11851	46	5	of	of	ADP
fumecheng-11851	46	6	the	the	DET
fumecheng-11851	46	7	recently	recently	ADV
fumecheng-11851	46	8	reported	report	VERB
fumecheng-11851	46	9	isogeometric	isogeometric	ADJ
fumecheng-11851	46	10	development	development	NOUN
fumecheng-11851	46	11	for	for	ADP
fumecheng-11851	46	12	the	the	DET
fumecheng-11851	46	13	same	same	ADJ
fumecheng-11851	46	14	type	type	NOUN
fumecheng-11851	46	15	of	of	ADP
fumecheng-11851	46	16	structures	structure	NOUN
fumecheng-11851	46	17	,	,	PUNCT
fumecheng-11851	46	18	but	but	CCONJ
fumecheng-11851	46	19	done	do	VERB
fumecheng-11851	46	20	for	for	ADP
fumecheng-11851	46	21	linear	linear	ADJ
fumecheng-11851	46	22	analysis	analysis	NOUN
fumecheng-11851	46	23	[	[	X
fumecheng-11851	46	24	30	30	NUM
fumecheng-11851	46	25	]	]	SYM
fumecheng-11851	46	26	.	.	PUNCT
fumecheng-11851	47	1	2	2	X
fumecheng-11851	47	2	.	.	X
fumecheng-11851	47	3	nurbs	nurb	NOUN
fumecheng-11851	47	4	geometry	geometry	NOUN
fumecheng-11851	47	5	,	,	PUNCT
fumecheng-11851	47	6	basic	basic	ADJ
fumecheng-11851	47	7	functions	function	NOUN
fumecheng-11851	47	8	and	and	CCONJ
fumecheng-11851	47	9	mesh	mesh	NOUN
fumecheng-11851	47	10	properties	property	NOUN
fumecheng-11851	47	11	cad	cad	NOUN
fumecheng-11851	47	12	description	description	NOUN
fumecheng-11851	47	13	of	of	ADP
fumecheng-11851	47	14	geometry	geometry	NOUN
fumecheng-11851	47	15	and	and	CCONJ
fumecheng-11851	47	16	,	,	PUNCT
fumecheng-11851	47	17	therewith	therewith	NOUN
fumecheng-11851	47	18	,	,	PUNCT
fumecheng-11851	47	19	the	the	DET
fumecheng-11851	47	20	isogeometric	isogeometric	ADJ
fumecheng-11851	47	21	formulation	formulation	NOUN
fumecheng-11851	47	22	of	of	ADP
fumecheng-11851	47	23	finite	finite	ADJ
fumecheng-11851	47	24	elements	element	NOUN
fumecheng-11851	47	25	is	be	AUX
fumecheng-11851	47	26	based	base	VERB
fumecheng-11851	47	27	on	on	ADP
fumecheng-11851	47	28	non	non	ADJ
fumecheng-11851	47	29	-	-	ADJ
fumecheng-11851	47	30	uniform	uniform	ADJ
fumecheng-11851	47	31	rational	rational	ADJ
fumecheng-11851	47	32	b	b	NOUN
fumecheng-11851	47	33	-	-	PUNCT
fumecheng-11851	47	34	splines	spline	NOUN
fumecheng-11851	47	35	–	–	PUNCT
fumecheng-11851	47	36	nurbs	nurb	NOUN
fumecheng-11851	47	37	.	.	PUNCT
fumecheng-11851	47	38	nurbs	nurbs	PROPN
fumecheng-11851	47	39	is	be	AUX
fumecheng-11851	47	40	a	a	DET
fumecheng-11851	47	41	special	special	ADJ
fumecheng-11851	47	42	type	type	NOUN
fumecheng-11851	47	43	of	of	ADP
fumecheng-11851	47	44	b	b	NOUN
fumecheng-11851	47	45	-	-	PUNCT
fumecheng-11851	47	46	spline	spline	NOUN
fumecheng-11851	47	47	and	and	CCONJ
fumecheng-11851	47	48	,	,	PUNCT
fumecheng-11851	47	49	hence	hence	ADV
fumecheng-11851	47	50	,	,	PUNCT
fumecheng-11851	47	51	its	its	PRON
fumecheng-11851	47	52	properties	property	NOUN
fumecheng-11851	47	53	partly	partly	ADV
fumecheng-11851	47	54	depend	depend	VERB
fumecheng-11851	47	55	on	on	ADP
fumecheng-11851	47	56	the	the	DET
fumecheng-11851	47	57	properties	property	NOUN
fumecheng-11851	47	58	of	of	ADP
fumecheng-11851	47	59	b	b	NOUN
fumecheng-11851	47	60	-	-	NOUN
fumecheng-11851	47	61	spline	spline	NOUN
fumecheng-11851	47	62	.	.	PUNCT
fumecheng-11851	48	1	to	to	PART
fumecheng-11851	48	2	determine	determine	VERB
fumecheng-11851	48	3	the	the	DET
fumecheng-11851	48	4	basis	basis	NOUN
fumecheng-11851	48	5	functions	function	NOUN
fumecheng-11851	48	6	of	of	ADP
fumecheng-11851	48	7	the	the	DET
fumecheng-11851	48	8	nurbs	nurb	NOUN
fumecheng-11851	48	9	,	,	PUNCT
fumecheng-11851	48	10	it	it	PRON
fumecheng-11851	48	11	is	be	AUX
fumecheng-11851	48	12	necessary	necessary	ADJ
fumecheng-11851	48	13	to	to	PART
fumecheng-11851	48	14	define	define	VERB
fumecheng-11851	48	15	the	the	DET
fumecheng-11851	48	16	basis	basis	NOUN
fumecheng-11851	48	17	functions	function	NOUN
fumecheng-11851	48	18	of	of	ADP
fumecheng-11851	48	19	the	the	DET
fumecheng-11851	48	20	b	b	NOUN
fumecheng-11851	48	21	-	-	PUNCT
fumecheng-11851	48	22	spline	spline	NOUN
fumecheng-11851	48	23	first	first	ADV
fumecheng-11851	48	24	.	.	PUNCT
fumecheng-11851	49	1	a	a	DET
fumecheng-11851	49	2	clear	clear	ADJ
fumecheng-11851	49	3	advantage	advantage	NOUN
fumecheng-11851	49	4	of	of	ADP
fumecheng-11851	49	5	nurbs	nurb	NOUN
fumecheng-11851	49	6	compared	compare	VERB
fumecheng-11851	49	7	to	to	ADP
fumecheng-11851	49	8	a	a	DET
fumecheng-11851	49	9	b	b	NOUN
fumecheng-11851	49	10	-	-	PUNCT
fumecheng-11851	49	11	spline	spline	NOUN
fumecheng-11851	49	12	resides	reside	VERB
fumecheng-11851	49	13	in	in	ADP
fumecheng-11851	49	14	its	its	PRON
fumecheng-11851	49	15	ability	ability	NOUN
fumecheng-11851	49	16	of	of	ADP
fumecheng-11851	49	17	accurate	accurate	ADJ
fumecheng-11851	49	18	representation	representation	NOUN
fumecheng-11851	49	19	of	of	ADP
fumecheng-11851	49	20	complex	complex	ADJ
fumecheng-11851	49	21	geometric	geometric	ADJ
fumecheng-11851	49	22	shapes	shape	NOUN
fumecheng-11851	49	23	.	.	PUNCT
fumecheng-11851	50	1	the	the	DET
fumecheng-11851	50	2	basis	basis	NOUN
fumecheng-11851	50	3	functions	function	NOUN
fumecheng-11851	50	4	of	of	ADP
fumecheng-11851	50	5	b	b	NOUN
fumecheng-11851	50	6	-	-	PUNCT
fumecheng-11851	50	7	spline	spline	NOUN
fumecheng-11851	50	8	of	of	ADP
fumecheng-11851	50	9	the	the	DET
fumecheng-11851	50	10	order	order	NOUN
fumecheng-11851	50	11	zero	zero	NUM
fumecheng-11851	50	12	are	be	AUX
fumecheng-11851	50	13	determined	determine	VERB
fumecheng-11851	50	14	as	as	ADP
fumecheng-11851	50	15	:	:	PUNCT
fumecheng-11851	50	16	(	(	PUNCT
fumecheng-11851	50	17	)	)	PUNCT
fumecheng-11851	50	18	1	1	NUM
fumecheng-11851	50	19	,	,	PUNCT
fumecheng-11851	50	20	0	0	NUM
fumecheng-11851	50	21	1	1	NUM
fumecheng-11851	50	22	0	0	NUM
fumecheng-11851	51	1	otherwise	otherwise	ADV
fumecheng-11851	51	2	i	i	PRON
fumecheng-11851	51	3	i	i	PRON
fumecheng-11851	51	4	in	in	ADP
fumecheng-11851	51	5	+	+	NOUN
fumecheng-11851	51	6			NOUN
fumecheng-11851	51	7			NOUN
fumecheng-11851	52	1	=	=	SYM
fumecheng-11851	52	2			NUM
fumecheng-11851	52	3			NOUN
fumecheng-11851	52	4			NOUN
fumecheng-11851	52	5			NOUN
fumecheng-11851	52	6			NOUN
fumecheng-11851	52	7			X
fumecheng-11851	52	8	(	(	PUNCT
fumecheng-11851	52	9	1	1	X
fumecheng-11851	52	10	)	)	PUNCT
fumecheng-11851	52	11	a	a	DET
fumecheng-11851	52	12	b	b	NOUN
fumecheng-11851	52	13	-	-	NOUN
fumecheng-11851	52	14	spline	spline	NOUN
fumecheng-11851	52	15	of	of	ADP
fumecheng-11851	52	16	the	the	DET
fumecheng-11851	52	17	order	order	NOUN
fumecheng-11851	52	18	p	p	NOUN
fumecheng-11851	52	19	is	be	AUX
fumecheng-11851	52	20	defined	define	VERB
fumecheng-11851	52	21	based	base	VERB
fumecheng-11851	52	22	on	on	ADP
fumecheng-11851	52	23	the	the	DET
fumecheng-11851	52	24	cox	cox	PROPN
fumecheng-11851	52	25	-	-	PUNCT
fumecheng-11851	52	26	de	de	X
fumecheng-11851	52	27	boor	boor	NOUN
fumecheng-11851	52	28	's	's	PART
fumecheng-11851	52	29	recursive	recursive	ADJ
fumecheng-11851	52	30	formula	formula	NOUN
fumecheng-11851	52	31	.	.	PUNCT
fumecheng-11851	53	1	for	for	ADP
fumecheng-11851	53	2	this	this	DET
fumecheng-11851	53	3	purpose	purpose	NOUN
fumecheng-11851	53	4	,	,	PUNCT
fumecheng-11851	53	5	a	a	DET
fumecheng-11851	53	6	knot	knot	NOUN
fumecheng-11851	53	7	vector	vector	NOUN
fumecheng-11851	53	8	=[0	=[0	PROPN
fumecheng-11851	53	9	,	,	PUNCT
fumecheng-11851	53	10	1	1	NOUN
fumecheng-11851	53	11	,	,	PUNCT
fumecheng-11851	53	12	...	...	PUNCT
fumecheng-11851	53	13	,	,	PUNCT
fumecheng-11851	53	14	n+p+1	n+p+1	X
fumecheng-11851	53	15	]	]	PUNCT
fumecheng-11851	53	16	is	be	AUX
fumecheng-11851	53	17	needed	need	VERB
fumecheng-11851	53	18	.	.	PUNCT
fumecheng-11851	54	1	higher	high	ADJ
fumecheng-11851	54	2	order	order	NOUN
fumecheng-11851	54	3	basic	basic	ADJ
fumecheng-11851	54	4	functions	function	NOUN
fumecheng-11851	54	5	are	be	AUX
fumecheng-11851	54	6	defined	define	VERB
fumecheng-11851	54	7	as	as	SCONJ
fumecheng-11851	54	8	follows	follow	VERB
fumecheng-11851	54	9	:	:	PUNCT
fumecheng-11851	54	10	1	1	NUM
fumecheng-11851	54	11	,	,	PUNCT
fumecheng-11851	54	12	,	,	PUNCT
fumecheng-11851	54	13	1	1	NUM
fumecheng-11851	54	14	1	1	NUM
fumecheng-11851	54	15	,	,	PUNCT
fumecheng-11851	54	16	1	1	NUM
fumecheng-11851	54	17	1	1	NUM
fumecheng-11851	54	18	1	1	NUM
fumecheng-11851	54	19	(	(	PUNCT
fumecheng-11851	54	20	)	)	PUNCT
fumecheng-11851	54	21	(	(	PUNCT
fumecheng-11851	54	22	)	)	PUNCT
fumecheng-11851	54	23	(	(	PUNCT
fumecheng-11851	54	24	)	)	PUNCT
fumecheng-11851	55	1	i	i	PRON
fumecheng-11851	55	2	pi	pi	VERB
fumecheng-11851	55	3	i	i	PRON
fumecheng-11851	55	4	p	p	X
fumecheng-11851	56	1	i	i	PRON
fumecheng-11851	56	2	p	p	X
fumecheng-11851	57	1	i	i	PRON
fumecheng-11851	57	2	p	p	X
fumecheng-11851	58	1	i	i	PRON
fumecheng-11851	58	2	p	p	X
fumecheng-11851	59	1	i	i	PRON
fumecheng-11851	60	1	i	i	PRON
fumecheng-11851	61	1	p	p	VERB
fumecheng-11851	62	1	i	i	PRON
fumecheng-11851	62	2	n	n	CCONJ
fumecheng-11851	62	3	n	n	CCONJ
fumecheng-11851	62	4	n	n	PRON
fumecheng-11851	62	5			NOUN
fumecheng-11851	62	6			NOUN
fumecheng-11851	62	7			NOUN
fumecheng-11851	62	8			NOUN
fumecheng-11851	62	9			NOUN
fumecheng-11851	62	10			NOUN
fumecheng-11851	62	11			NOUN
fumecheng-11851	62	12			NOUN
fumecheng-11851	62	13			NOUN
fumecheng-11851	62	14			X
fumecheng-11851	62	15	+	+	X
fumecheng-11851	63	1	+	+	NUM
fumecheng-11851	63	2	−	−	X
fumecheng-11851	63	3	+	+	CCONJ
fumecheng-11851	63	4	−	−	PROPN
fumecheng-11851	64	1	+	+	CCONJ
fumecheng-11851	64	2	+	+	PUNCT
fumecheng-11851	64	3	+	+	CCONJ
fumecheng-11851	64	4	+	+	NUM
fumecheng-11851	64	5	−−	−−	NOUN
fumecheng-11851	64	6	=	=	PUNCT
fumecheng-11851	65	1	+	+	CCONJ
fumecheng-11851	65	2	−	−	PROPN
fumecheng-11851	65	3	−	−	PROPN
fumecheng-11851	65	4	(	(	PUNCT
fumecheng-11851	65	5	2	2	NUM
fumecheng-11851	65	6	)	)	PUNCT
fumecheng-11851	65	7	a	a	DET
fumecheng-11851	65	8	set	set	NOUN
fumecheng-11851	65	9	of	of	ADP
fumecheng-11851	65	10	parametric	parametric	ADJ
fumecheng-11851	65	11	coordinates	coordinate	NOUN
fumecheng-11851	65	12	i	i	AUX
fumecheng-11851	65	13	given	give	VERB
fumecheng-11851	65	14	in	in	ADP
fumecheng-11851	65	15	a	a	DET
fumecheng-11851	65	16	non	non	ADJ
fumecheng-11851	65	17	-	-	ADJ
fumecheng-11851	65	18	decreasing	decrease	VERB
fumecheng-11851	65	19	order	order	NOUN
fumecheng-11851	65	20	defines	define	VERB
fumecheng-11851	65	21	the	the	DET
fumecheng-11851	65	22	knot	knot	NOUN
fumecheng-11851	65	23	vector	vector	NOUN
fumecheng-11851	65	24	.	.	PUNCT
fumecheng-11851	66	1	the	the	DET
fumecheng-11851	66	2	continuity	continuity	NOUN
fumecheng-11851	66	3	of	of	ADP
fumecheng-11851	66	4	the	the	DET
fumecheng-11851	66	5	basis	basis	NOUN
fumecheng-11851	66	6	functions	function	NOUN
fumecheng-11851	66	7	is	be	AUX
fumecheng-11851	66	8	of	of	ADP
fumecheng-11851	66	9	great	great	ADJ
fumecheng-11851	66	10	importance	importance	NOUN
fumecheng-11851	66	11	and	and	CCONJ
fumecheng-11851	66	12	it	it	PRON
fumecheng-11851	66	13	is	be	AUX
fumecheng-11851	66	14	defined	define	VERB
fumecheng-11851	66	15	by	by	ADP
fumecheng-11851	66	16	the	the	DET
fumecheng-11851	66	17	function	function	NOUN
fumecheng-11851	66	18	order	order	NOUN
fumecheng-11851	66	19	,	,	PUNCT
fumecheng-11851	66	20	p	p	X
fumecheng-11851	66	21	,	,	PUNCT
fumecheng-11851	66	22	and	and	CCONJ
fumecheng-11851	66	23	the	the	DET
fumecheng-11851	66	24	knot	knot	NOUN
fumecheng-11851	66	25	multiplicity	multiplicity	NOUN
fumecheng-11851	66	26	,	,	PUNCT
fumecheng-11851	66	27	k.	k.	PROPN
fumecheng-11851	67	1	a	a	DET
fumecheng-11851	67	2	knot	knot	NOUN
fumecheng-11851	67	3	multiplicity	multiplicity	NOUN
fumecheng-11851	67	4	equals	equal	VERB
fumecheng-11851	67	5	to	to	ADP
fumecheng-11851	67	6	k	k	PROPN
fumecheng-11851	67	7	implies	imply	VERB
fumecheng-11851	67	8	cp	cp	PROPN
fumecheng-11851	67	9	-	-	PROPN
fumecheng-11851	67	10	k	k	PROPN
fumecheng-11851	67	11	continuity	continuity	NOUN
fumecheng-11851	67	12	.	.	PUNCT
fumecheng-11851	68	1	in	in	ADP
fumecheng-11851	68	2	addition	addition	NOUN
fumecheng-11851	68	3	to	to	ADP
fumecheng-11851	68	4	this	this	PRON
fumecheng-11851	68	5	,	,	PUNCT
fumecheng-11851	68	6	ni,0(	ni,0(	NUM
fumecheng-11851	68	7	)	)	PUNCT
fumecheng-11851	68	8	is	be	AUX
fumecheng-11851	68	9	a	a	DET
fumecheng-11851	68	10	stepped	step	VERB
fumecheng-11851	68	11	function	function	NOUN
fumecheng-11851	68	12	giving	give	VERB
fumecheng-11851	68	13	non	non	ADJ
fumecheng-11851	68	14	-	-	ADJ
fumecheng-11851	68	15	zero	zero	NUM
fumecheng-11851	68	16	values	value	NOUN
fumecheng-11851	68	17	only	only	ADV
fumecheng-11851	68	18	in	in	ADP
fumecheng-11851	68	19	a	a	DET
fumecheng-11851	68	20	half	half	ADJ
fumecheng-11851	68	21	-	-	PUNCT
fumecheng-11851	68	22	open	open	ADJ
fumecheng-11851	68	23	interval	interval	NOUN
fumecheng-11851	68	24	[i	[i	PROPN
fumecheng-11851	68	25	,	,	PUNCT
fumecheng-11851	68	26	i+1	i+1	ADP
fumecheng-11851	68	27	)	)	PUNCT
fumecheng-11851	68	28	.	.	PUNCT
fumecheng-11851	69	1	furthermore	furthermore	ADV
fumecheng-11851	69	2	,	,	PUNCT
fumecheng-11851	69	3	ni	ni	PROPN
fumecheng-11851	69	4	,	,	PUNCT
fumecheng-11851	69	5	p(	p(	PROPN
fumecheng-11851	69	6	)	)	PUNCT
fumecheng-11851	69	7	is	be	AUX
fumecheng-11851	69	8	given	give	VERB
fumecheng-11851	69	9	by	by	ADP
fumecheng-11851	69	10	a	a	DET
fumecheng-11851	69	11	linear	linear	ADJ
fumecheng-11851	69	12	combination	combination	NOUN
fumecheng-11851	69	13	of	of	ADP
fumecheng-11851	69	14	two	two	NUM
fumecheng-11851	69	15	functions	function	NOUN
fumecheng-11851	69	16	of	of	ADP
fumecheng-11851	69	17	degree	degree	NOUN
fumecheng-11851	69	18	(	(	PUNCT
fumecheng-11851	69	19	p-1	p-1	NOUN
fumecheng-11851	69	20	)	)	PUNCT
fumecheng-11851	69	21	.	.	PUNCT
fumecheng-11851	70	1	a	a	DET
fumecheng-11851	70	2	basic	basic	ADJ
fumecheng-11851	70	3	function	function	NOUN
fumecheng-11851	70	4	of	of	ADP
fumecheng-11851	70	5	the	the	DET
fumecheng-11851	70	6	order	order	NOUN
fumecheng-11851	70	7	p	p	NOUN
fumecheng-11851	70	8	gives	give	VERB
fumecheng-11851	70	9	non	non	ADJ
fumecheng-11851	70	10	-	-	ADJ
fumecheng-11851	70	11	zero	zero	NUM
fumecheng-11851	70	12	values	value	NOUN
fumecheng-11851	70	13	only	only	ADV
fumecheng-11851	70	14	in	in	ADP
fumecheng-11851	70	15	a	a	DET
fumecheng-11851	70	16	half	half	ADJ
fumecheng-11851	70	17	-	-	PUNCT
fumecheng-11851	70	18	open	open	ADJ
fumecheng-11851	70	19	interval	interval	NOUN
fumecheng-11851	70	20	[i	[i	PROPN
fumecheng-11851	70	21	,	,	PUNCT
fumecheng-11851	70	22	i+p+1	i+p+1	NUM
fumecheng-11851	70	23	)	)	PUNCT
fumecheng-11851	70	24	and	and	CCONJ
fumecheng-11851	70	25	the	the	DET
fumecheng-11851	70	26	sum	sum	NOUN
fumecheng-11851	70	27	of	of	ADP
fumecheng-11851	70	28	all	all	DET
fumecheng-11851	70	29	basic	basic	ADJ
fumecheng-11851	70	30	functions	function	NOUN
fumecheng-11851	70	31	of	of	ADP
fumecheng-11851	70	32	the	the	DET
fumecheng-11851	70	33	order	order	NOUN
fumecheng-11851	70	34	p	p	NOUN
fumecheng-11851	70	35	at	at	ADP
fumecheng-11851	70	36	any	any	DET
fumecheng-11851	70	37	point	point	NOUN
fumecheng-11851	70	38			NOUN
fumecheng-11851	70	39	is	be	AUX
fumecheng-11851	70	40	equal	equal	ADJ
fumecheng-11851	70	41	to	to	ADP
fumecheng-11851	70	42	1	1	NUM
fumecheng-11851	70	43	.	.	PUNCT
fumecheng-11851	71	1	finally	finally	ADV
fumecheng-11851	71	2	,	,	PUNCT
fumecheng-11851	71	3	the	the	DET
fumecheng-11851	71	4	basis	basis	NOUN
fumecheng-11851	71	5	functions	function	NOUN
fumecheng-11851	71	6	are	be	AUX
fumecheng-11851	71	7	linearly	linearly	ADV
fumecheng-11851	71	8	independent	independent	ADJ
fumecheng-11851	71	9	and	and	CCONJ
fumecheng-11851	71	10	non	non	ADJ
fumecheng-11851	71	11	-	-	ADJ
fumecheng-11851	71	12	negative	negative	ADJ
fumecheng-11851	71	13	.	.	PUNCT
fumecheng-11851	72	1	a	a	DET
fumecheng-11851	72	2	nurbs	nurbs	NOUN
fumecheng-11851	72	3	curve	curve	NOUN
fumecheng-11851	72	4	of	of	ADP
fumecheng-11851	72	5	the	the	DET
fumecheng-11851	72	6	order	order	NOUN
fumecheng-11851	72	7	p	p	NOUN
fumecheng-11851	72	8	is	be	AUX
fumecheng-11851	72	9	defined	define	VERB
fumecheng-11851	72	10	by	by	ADP
fumecheng-11851	72	11	using	use	VERB
fumecheng-11851	72	12	the	the	DET
fumecheng-11851	72	13	b	b	NOUN
fumecheng-11851	72	14	-	-	PUNCT
fumecheng-11851	72	15	spline	spline	NOUN
fumecheng-11851	72	16	basis	basis	NOUN
fumecheng-11851	72	17	functions	function	NOUN
fumecheng-11851	72	18	and	and	CCONJ
fumecheng-11851	72	19	the	the	DET
fumecheng-11851	72	20	control	control	NOUN
fumecheng-11851	72	21	polygon	polygon	NOUN
fumecheng-11851	72	22	points	point	NOUN
fumecheng-11851	72	23	with	with	ADP
fumecheng-11851	72	24	the	the	DET
fumecheng-11851	72	25	corresponding	corresponding	ADJ
fumecheng-11851	72	26	weight	weight	NOUN
fumecheng-11851	72	27	coefficients	coefficient	NOUN
fumecheng-11851	72	28	or	or	CCONJ
fumecheng-11851	72	29	with	with	ADP
fumecheng-11851	72	30	control	control	NOUN
fumecheng-11851	72	31	polygon	polygon	NOUN
fumecheng-11851	72	32	points	point	NOUN
fumecheng-11851	72	33	and	and	CCONJ
fumecheng-11851	72	34	their	their	PRON
fumecheng-11851	72	35	corresponding	corresponding	ADJ
fumecheng-11851	72	36	nurbs	nurbs	NOUN
fumecheng-11851	72	37	basis	basis	NOUN
fumecheng-11851	72	38	functions	function	NOUN
fumecheng-11851	72	39	:	:	PUNCT
fumecheng-11851	72	40	,	,	PUNCT
fumecheng-11851	72	41	0	0	NUM
fumecheng-11851	72	42	,	,	PUNCT
fumecheng-11851	72	43	0	0	NUM
fumecheng-11851	72	44	,	,	PUNCT
fumecheng-11851	72	45	0	0	NUM
fumecheng-11851	72	46	(	(	PUNCT
fumecheng-11851	72	47	)	)	PUNCT
fumecheng-11851	72	48	(	(	PUNCT
fumecheng-11851	72	49	)	)	PUNCT
fumecheng-11851	72	50	(	(	PUNCT
fumecheng-11851	72	51	)	)	PUNCT
fumecheng-11851	72	52	(	(	PUNCT
fumecheng-11851	72	53	)	)	PUNCT
fumecheng-11851	73	1	n	n	CCONJ
fumecheng-11851	74	1	i	i	PRON
fumecheng-11851	74	2	p	p	VERB
fumecheng-11851	75	1	i	i	PRON
fumecheng-11851	75	2	i	i	PRON
fumecheng-11851	75	3	n	n	VERB
fumecheng-11851	76	1	i	i	PRON
fumecheng-11851	76	2	i	i	PRON
fumecheng-11851	76	3	p	p	X
fumecheng-11851	76	4	in	in	ADP
fumecheng-11851	76	5	i	i	PRON
fumecheng-11851	77	1	i	i	PRON
fumecheng-11851	77	2	p	p	VERB
fumecheng-11851	78	1	i	i	PRON
fumecheng-11851	78	2	i	i	PRON
fumecheng-11851	78	3	n	n	VERB
fumecheng-11851	79	1	w	w	NOUN
fumecheng-11851	79	2	p	p	X
fumecheng-11851	80	1	c	c	NOUN
fumecheng-11851	80	2	r	r	NOUN
fumecheng-11851	80	3	p	p	NOUN
fumecheng-11851	80	4	a	a	DET
fumecheng-11851	80	5	b	b	NOUN
fumecheng-11851	80	6	n	n	PRON
fumecheng-11851	80	7	w	w	NOUN
fumecheng-11851	80	8			NOUN
fumecheng-11851	80	9			NOUN
fumecheng-11851	81	1			NOUN
fumecheng-11851	81	2			NOUN
fumecheng-11851	81	3			NOUN
fumecheng-11851	81	4	=	=	SYM
fumecheng-11851	81	5	=	=	PUNCT
fumecheng-11851	81	6	=	=	PUNCT
fumecheng-11851	81	7	=	=	SYM
fumecheng-11851	81	8	=	=	SYM
fumecheng-11851	81	9			NOUN
fumecheng-11851	81	10			NOUN
fumecheng-11851	81	11			X
fumecheng-11851	81	12			X
fumecheng-11851	81	13			X
fumecheng-11851	81	14	(	(	PUNCT
fumecheng-11851	81	15	3	3	X
fumecheng-11851	81	16	)	)	PUNCT
fumecheng-11851	81	17	here	here	ADV
fumecheng-11851	81	18	,	,	PUNCT
fumecheng-11851	81	19	pi	pi	PROPN
fumecheng-11851	81	20	are	be	AUX
fumecheng-11851	81	21	the	the	DET
fumecheng-11851	81	22	control	control	NOUN
fumecheng-11851	81	23	polygon	polygon	NOUN
fumecheng-11851	81	24	points	point	NOUN
fumecheng-11851	81	25	,	,	PUNCT
fumecheng-11851	81	26	wi	wi	PROPN
fumecheng-11851	81	27	the	the	DET
fumecheng-11851	81	28	corresponding	corresponding	ADJ
fumecheng-11851	81	29	weights	weight	NOUN
fumecheng-11851	81	30	,	,	PUNCT
fumecheng-11851	81	31	{	{	PUNCT
fumecheng-11851	81	32	ni	ni	PROPN
fumecheng-11851	81	33	,	,	PUNCT
fumecheng-11851	81	34	p(	p(	PROPN
fumecheng-11851	81	35	)	)	PUNCT
fumecheng-11851	81	36	}	}	PUNCT
fumecheng-11851	81	37	the	the	DET
fumecheng-11851	81	38	porder	porder	PROPN
fumecheng-11851	81	39	b	b	X
fumecheng-11851	81	40	-	-	PUNCT
fumecheng-11851	81	41	spline	spline	ADJ
fumecheng-11851	81	42	basic	basic	ADJ
fumecheng-11851	81	43	functions	function	NOUN
fumecheng-11851	81	44	defined	define	VERB
fumecheng-11851	81	45	on	on	ADP
fumecheng-11851	81	46	the	the	DET
fumecheng-11851	81	47	non	non	ADJ
fumecheng-11851	81	48	-	-	ADJ
fumecheng-11851	81	49	uniform	uniform	ADJ
fumecheng-11851	81	50	knot	knot	NOUN
fumecheng-11851	81	51	vector	vector	NOUN
fumecheng-11851	81	52	={a,	={a,	NOUN
fumecheng-11851	81	53	...	...	PUNCT
fumecheng-11851	81	54	,a	,a	NUM
fumecheng-11851	81	55	,	,	PUNCT
fumecheng-11851	81	56	p+1	p+1	NOUN
fumecheng-11851	81	57	,	,	PUNCT
fumecheng-11851	81	58	...	...	PUNCT
fumecheng-11851	81	59	,	,	PUNCT
fumecheng-11851	81	60	390	390	NUM
fumecheng-11851	81	61	p.	p.	NOUN
fumecheng-11851	81	62	milić	milić	NOUN
fumecheng-11851	81	63	,	,	PUNCT
fumecheng-11851	81	64	d.	d.	PROPN
fumecheng-11851	81	65	marinković	marinković	PROPN
fumecheng-11851	81	66	,	,	PUNCT
fumecheng-11851	81	67	ž	ž	PROPN
fumecheng-11851	81	68	.	.	PUNCT
fumecheng-11851	82	1	ćojbašić	ćojbašić	PROPN
fumecheng-11851	82	2	m	m	NOUN
fumecheng-11851	82	3	-	-	NOUN
fumecheng-11851	82	4	p-1	p-1	NOUN
fumecheng-11851	82	5	,	,	PUNCT
fumecheng-11851	82	6	b,	b,	PRON
fumecheng-11851	82	7	...	...	PUNCT
fumecheng-11851	82	8	,b	,b	PUNCT
fumecheng-11851	82	9	}	}	PUNCT
fumecheng-11851	82	10	,	,	PUNCT
fumecheng-11851	82	11	while	while	SCONJ
fumecheng-11851	82	12	ri	ri	PROPN
fumecheng-11851	82	13	,	,	PUNCT
fumecheng-11851	82	14	p	p	PRON
fumecheng-11851	82	15	represent	represent	VERB
fumecheng-11851	82	16	the	the	DET
fumecheng-11851	82	17	basic	basic	ADJ
fumecheng-11851	82	18	rational	rational	ADJ
fumecheng-11851	82	19	functions	function	NOUN
fumecheng-11851	82	20	of	of	ADP
fumecheng-11851	82	21	the	the	DET
fumecheng-11851	82	22	order	order	NOUN
fumecheng-11851	82	23	p	p	NOUN
fumecheng-11851	82	24	that	that	DET
fumecheng-11851	82	25	form	form	NOUN
fumecheng-11851	82	26	nurbs	nurb	NOUN
fumecheng-11851	82	27	.	.	PUNCT
fumecheng-11851	83	1	typically	typically	ADV
fumecheng-11851	83	2	,	,	PUNCT
fumecheng-11851	83	3	the	the	DET
fumecheng-11851	83	4	knot	knot	NOUN
fumecheng-11851	83	5	vector	vector	NOUN
fumecheng-11851	83	6	is	be	AUX
fumecheng-11851	83	7	normalized	normalize	VERB
fumecheng-11851	83	8	.	.	PUNCT
fumecheng-11851	84	1	this	this	PRON
fumecheng-11851	84	2	implies	imply	VERB
fumecheng-11851	84	3	that	that	SCONJ
fumecheng-11851	84	4	the	the	DET
fumecheng-11851	84	5	first	first	ADJ
fumecheng-11851	84	6	index	index	NOUN
fumecheng-11851	84	7	coordinate	coordinate	NOUN
fumecheng-11851	84	8	of	of	ADP
fumecheng-11851	84	9	the	the	DET
fumecheng-11851	84	10	vector	vector	NOUN
fumecheng-11851	84	11	is	be	AUX
fumecheng-11851	84	12	0	0	NUM
fumecheng-11851	84	13	(	(	PUNCT
fumecheng-11851	84	14	a	a	PRON
fumecheng-11851	84	15	=	=	NOUN
fumecheng-11851	84	16	0	0	NUM
fumecheng-11851	84	17	)	)	PUNCT
fumecheng-11851	84	18	,	,	PUNCT
fumecheng-11851	84	19	while	while	SCONJ
fumecheng-11851	84	20	the	the	DET
fumecheng-11851	84	21	last	last	ADJ
fumecheng-11851	84	22	one	one	NOUN
fumecheng-11851	84	23	is	be	AUX
fumecheng-11851	84	24	1	1	NUM
fumecheng-11851	84	25	(	(	PUNCT
fumecheng-11851	84	26	b	b	NOUN
fumecheng-11851	84	27	=	=	SYM
fumecheng-11851	84	28	1	1	NUM
fumecheng-11851	84	29	)	)	PUNCT
fumecheng-11851	84	30	.	.	PUNCT
fumecheng-11851	85	1	the	the	DET
fumecheng-11851	85	2	number	number	NOUN
fumecheng-11851	85	3	of	of	ADP
fumecheng-11851	85	4	repetitions	repetition	NOUN
fumecheng-11851	85	5	of	of	ADP
fumecheng-11851	85	6	the	the	DET
fumecheng-11851	85	7	elements	element	NOUN
fumecheng-11851	85	8	a	a	PRON
fumecheng-11851	85	9	and	and	CCONJ
fumecheng-11851	85	10	b	b	NOUN
fumecheng-11851	85	11	in	in	ADP
fumecheng-11851	85	12	the	the	DET
fumecheng-11851	85	13	knot	knot	NOUN
fumecheng-11851	85	14	vector	vector	NOUN
fumecheng-11851	85	15	defines	define	VERB
fumecheng-11851	85	16	the	the	DET
fumecheng-11851	85	17	order	order	NOUN
fumecheng-11851	85	18	of	of	ADP
fumecheng-11851	85	19	spline	spline	NOUN
fumecheng-11851	85	20	.	.	PUNCT
fumecheng-11851	86	1	using	use	VERB
fumecheng-11851	86	2	this	this	DET
fumecheng-11851	86	3	parameter	parameter	NOUN
fumecheng-11851	86	4	,	,	PUNCT
fumecheng-11851	86	5	one	one	NUM
fumecheng-11851	86	6	cab	cab	NOUN
fumecheng-11851	86	7	realize	realize	VERB
fumecheng-11851	86	8	the	the	DET
fumecheng-11851	86	9	discontinuity	discontinuity	NOUN
fumecheng-11851	86	10	at	at	ADP
fumecheng-11851	86	11	the	the	DET
fumecheng-11851	86	12	spline	spline	NOUN
fumecheng-11851	86	13	ends	end	VERB
fumecheng-11851	86	14	.	.	PUNCT
fumecheng-11851	87	1	hence	hence	ADV
fumecheng-11851	87	2	,	,	PUNCT
fumecheng-11851	87	3	the	the	DET
fumecheng-11851	87	4	following	follow	VERB
fumecheng-11851	87	5	equation	equation	NOUN
fumecheng-11851	87	6	defines	define	VERB
fumecheng-11851	87	7	a	a	DET
fumecheng-11851	87	8	nurbs	nurbs	NOUN
fumecheng-11851	87	9	surface	surface	NOUN
fumecheng-11851	87	10	of	of	ADP
fumecheng-11851	87	11	the	the	DET
fumecheng-11851	87	12	orders	order	NOUN
fumecheng-11851	87	13	p	p	NOUN
fumecheng-11851	87	14	and	and	CCONJ
fumecheng-11851	87	15	q	q	NOUN
fumecheng-11851	87	16	in	in	ADP
fumecheng-11851	87	17	the	the	DET
fumecheng-11851	87	18	and	and	PROPN
fumecheng-11851	87	19	-directions	-direction	NOUN
fumecheng-11851	87	20	,	,	PUNCT
fumecheng-11851	87	21	respectively	respectively	ADV
fumecheng-11851	87	22	:	:	PUNCT
fumecheng-11851	87	23	,	,	PUNCT
fumecheng-11851	87	24	,	,	PUNCT
fumecheng-11851	87	25	0	0	NUM
fumecheng-11851	87	26	0	0	NUM
fumecheng-11851	87	27	0	0	NUM
fumecheng-11851	87	28	0	0	NUM
fumecheng-11851	87	29	,	,	PUNCT
fumecheng-11851	87	30	,	,	PUNCT
fumecheng-11851	87	31	,	,	PUNCT
fumecheng-11851	87	32	0	0	NUM
fumecheng-11851	87	33	0	0	NUM
fumecheng-11851	87	34	(	(	PUNCT
fumecheng-11851	87	35	)	)	PUNCT
fumecheng-11851	87	36	(	(	PUNCT
fumecheng-11851	87	37	)	)	PUNCT
fumecheng-11851	87	38	(	(	PUNCT
fumecheng-11851	87	39	,	,	PUNCT
fumecheng-11851	87	40	)	)	PUNCT
fumecheng-11851	87	41	(	(	PUNCT
fumecheng-11851	87	42	,	,	PUNCT
fumecheng-11851	87	43	)	)	PUNCT
fumecheng-11851	87	44	0	0	NUM
fumecheng-11851	87	45	,	,	PUNCT
fumecheng-11851	87	46	1	1	NUM
fumecheng-11851	87	47	(	(	PUNCT
fumecheng-11851	87	48	)	)	PUNCT
fumecheng-11851	87	49	(	(	PUNCT
fumecheng-11851	87	50	)	)	PUNCT
fumecheng-11851	88	1	n	n	CCONJ
fumecheng-11851	88	2	m	m	VERB
fumecheng-11851	88	3	i	i	PRON
fumecheng-11851	88	4	p	p	X
fumecheng-11851	88	5	j	j	X
fumecheng-11851	88	6	q	q	X
fumecheng-11851	89	1	ij	ij	INTJ
fumecheng-11851	89	2	ij	ij	INTJ
fumecheng-11851	89	3	n	n	INTJ
fumecheng-11851	89	4	m	m	VERB
fumecheng-11851	89	5	i	i	PRON
fumecheng-11851	89	6	j	j	PROPN
fumecheng-11851	90	1	ij	ij	INTJ
fumecheng-11851	90	2	ijn	ijn	PROPN
fumecheng-11851	91	1	m	m	VERB
fumecheng-11851	91	2	i	i	PRON
fumecheng-11851	91	3	j	j	PROPN
fumecheng-11851	92	1	k	k	PROPN
fumecheng-11851	92	2	p	p	PROPN
fumecheng-11851	92	3	l	l	X
fumecheng-11851	92	4	q	q	X
fumecheng-11851	92	5	k	k	NOUN
fumecheng-11851	92	6	l	l	NOUN
fumecheng-11851	92	7	k	k	X
fumecheng-11851	92	8	l	l	PROPN
fumecheng-11851	92	9	n	n	CCONJ
fumecheng-11851	92	10	n	n	PROPN
fumecheng-11851	92	11	w	w	NOUN
fumecheng-11851	93	1	p	p	X
fumecheng-11851	93	2	s	s	NOUN
fumecheng-11851	93	3	r	r	NOUN
fumecheng-11851	93	4	p	p	NOUN
fumecheng-11851	93	5	n	n	CCONJ
fumecheng-11851	93	6	n	n	PRON
fumecheng-11851	93	7	w	w	NOUN
fumecheng-11851	93	8			NOUN
fumecheng-11851	93	9			NUM
fumecheng-11851	93	10			NOUN
fumecheng-11851	93	11			NUM
fumecheng-11851	93	12			NOUN
fumecheng-11851	93	13			NUM
fumecheng-11851	93	14			NOUN
fumecheng-11851	93	15			NUM
fumecheng-11851	93	16			NOUN
fumecheng-11851	93	17			NUM
fumecheng-11851	93	18	=	=	SYM
fumecheng-11851	93	19	=	=	PUNCT
fumecheng-11851	94	1	=	=	PUNCT
fumecheng-11851	94	2	=	=	PUNCT
fumecheng-11851	94	3	=	=	PUNCT
fumecheng-11851	94	4	=	=	PUNCT
fumecheng-11851	94	5	=	=	SYM
fumecheng-11851	94	6	=	=	SYM
fumecheng-11851	94	7			NOUN
fumecheng-11851	94	8			NOUN
fumecheng-11851	94	9			PUNCT
fumecheng-11851	94	10			X
fumecheng-11851	94	11			X
fumecheng-11851	94	12	(	(	PUNCT
fumecheng-11851	94	13	4	4	NUM
fumecheng-11851	94	14	)	)	PUNCT
fumecheng-11851	94	15	where	where	SCONJ
fumecheng-11851	94	16	rij	rij	PROPN
fumecheng-11851	94	17	are	be	AUX
fumecheng-11851	94	18	the	the	DET
fumecheng-11851	94	19	rational	rational	ADJ
fumecheng-11851	94	20	b	b	NOUN
fumecheng-11851	94	21	-	-	PUNCT
fumecheng-11851	94	22	spline	spline	NOUN
fumecheng-11851	94	23	basis	basis	NOUN
fumecheng-11851	94	24	functions	function	NOUN
fumecheng-11851	94	25	of	of	ADP
fumecheng-11851	94	26	nurbs	nurbs	NOUN
fumecheng-11851	94	27	surface	surface	NOUN
fumecheng-11851	94	28	,	,	PUNCT
fumecheng-11851	94	29	i.e.	i.e.	X
fumecheng-11851	94	30	the	the	DET
fumecheng-11851	94	31	nurbs	nurbs	NOUN
fumecheng-11851	94	32	basis	basis	NOUN
fumecheng-11851	94	33	functions	function	NOUN
fumecheng-11851	94	34	:	:	PUNCT
fumecheng-11851	94	35	,	,	PUNCT
fumecheng-11851	94	36	,	,	PUNCT
fumecheng-11851	94	37	,	,	PUNCT
fumecheng-11851	94	38	,	,	PUNCT
fumecheng-11851	94	39	0	0	NUM
fumecheng-11851	94	40	0	0	NUM
fumecheng-11851	95	1	(	(	PUNCT
fumecheng-11851	95	2	)	)	PUNCT
fumecheng-11851	95	3	(	(	PUNCT
fumecheng-11851	95	4	)	)	PUNCT
fumecheng-11851	95	5	(	(	PUNCT
fumecheng-11851	95	6	,	,	PUNCT
fumecheng-11851	95	7	)	)	PUNCT
fumecheng-11851	95	8	0	0	NUM
fumecheng-11851	95	9	,	,	PUNCT
fumecheng-11851	95	10	1	1	NUM
fumecheng-11851	95	11	(	(	PUNCT
fumecheng-11851	95	12	)	)	PUNCT
fumecheng-11851	96	1	(	(	PUNCT
fumecheng-11851	96	2	)	)	PUNCT
fumecheng-11851	96	3	i	i	PRON
fumecheng-11851	96	4	p	p	X
fumecheng-11851	97	1	j	j	X
fumecheng-11851	97	2	q	q	X
fumecheng-11851	97	3	ij	ij	INTJ
fumecheng-11851	97	4	ij	ij	INTJ
fumecheng-11851	97	5	n	n	INTJ
fumecheng-11851	97	6	m	m	VERB
fumecheng-11851	97	7	k	k	NOUN
fumecheng-11851	97	8	p	p	X
fumecheng-11851	97	9	l	l	X
fumecheng-11851	97	10	q	q	X
fumecheng-11851	97	11	kl	kl	NOUN
fumecheng-11851	97	12	k	k	PROPN
fumecheng-11851	97	13	l	l	PROPN
fumecheng-11851	97	14	n	n	CCONJ
fumecheng-11851	97	15	n	n	PROPN
fumecheng-11851	97	16	w	w	NOUN
fumecheng-11851	97	17	r	r	NOUN
fumecheng-11851	97	18	n	n	CCONJ
fumecheng-11851	97	19	n	n	NOUN
fumecheng-11851	97	20	w	w	NOUN
fumecheng-11851	97	21			NOUN
fumecheng-11851	97	22			NUM
fumecheng-11851	97	23			NOUN
fumecheng-11851	97	24			NUM
fumecheng-11851	97	25			NOUN
fumecheng-11851	97	26			NUM
fumecheng-11851	97	27			NOUN
fumecheng-11851	97	28			NUM
fumecheng-11851	97	29	=	=	SYM
fumecheng-11851	97	30	=	=	SYM
fumecheng-11851	97	31	=	=	SYM
fumecheng-11851	97	32			NOUN
fumecheng-11851	97	33			NOUN
fumecheng-11851	97	34			PRON
fumecheng-11851	97	35	(	(	PUNCT
fumecheng-11851	97	36	5	5	X
fumecheng-11851	97	37	)	)	PUNCT
fumecheng-11851	97	38	fig	fig	NOUN
fumecheng-11851	97	39	.	.	PUNCT
fumecheng-11851	98	1	1	1	NUM
fumecheng-11851	98	2	shows	show	VERB
fumecheng-11851	98	3	an	an	DET
fumecheng-11851	98	4	example	example	NOUN
fumecheng-11851	98	5	of	of	ADP
fumecheng-11851	98	6	a	a	DET
fumecheng-11851	98	7	nurbs	nurbs	NOUN
fumecheng-11851	98	8	surface	surface	NOUN
fumecheng-11851	98	9	(	(	PUNCT
fumecheng-11851	98	10	patch	patch	NOUN
fumecheng-11851	98	11	)	)	PUNCT
fumecheng-11851	98	12	given	give	VERB
fumecheng-11851	98	13	by	by	ADP
fumecheng-11851	98	14	eq	eq	PROPN
fumecheng-11851	98	15	.	.	PUNCT
fumecheng-11851	99	1	(	(	PUNCT
fumecheng-11851	99	2	4	4	NUM
fumecheng-11851	99	3	)	)	PUNCT
fumecheng-11851	99	4	.	.	PUNCT
fumecheng-11851	100	1	points	point	NOUN
fumecheng-11851	100	2	of	of	ADP
fumecheng-11851	100	3	the	the	DET
fumecheng-11851	100	4	control	control	NOUN
fumecheng-11851	100	5	polygon	polygon	NOUN
fumecheng-11851	100	6	in	in	ADP
fumecheng-11851	100	7	the	the	DET
fumecheng-11851	100	8	physical	physical	ADJ
fumecheng-11851	100	9	space	space	NOUN
fumecheng-11851	100	10	,	,	PUNCT
fumecheng-11851	100	11	index	index	NOUN
fumecheng-11851	100	12	vectors	vector	NOUN
fumecheng-11851	100	13	in	in	ADP
fumecheng-11851	100	14	the	the	DET
fumecheng-11851	100	15	index	index	NOUN
fumecheng-11851	100	16	space	space	NOUN
fumecheng-11851	100	17	and	and	CCONJ
fumecheng-11851	100	18	the	the	DET
fumecheng-11851	100	19	basic	basic	ADJ
fumecheng-11851	100	20	functions	function	NOUN
fumecheng-11851	100	21	order	order	NOUN
fumecheng-11851	100	22	define	define	VERB
fumecheng-11851	100	23	the	the	DET
fumecheng-11851	100	24	shown	show	VERB
fumecheng-11851	100	25	nurbs	nurbs	NOUN
fumecheng-11851	100	26	surface	surface	NOUN
fumecheng-11851	100	27	.	.	PUNCT
fumecheng-11851	101	1	the	the	DET
fumecheng-11851	101	2	element	element	NOUN
fumecheng-11851	101	3	boundaries	boundary	NOUN
fumecheng-11851	101	4	are	be	AUX
fumecheng-11851	101	5	set	set	VERB
fumecheng-11851	101	6	in	in	ADP
fumecheng-11851	101	7	the	the	DET
fumecheng-11851	101	8	parameter	parameter	NOUN
fumecheng-11851	101	9	space	space	NOUN
fumecheng-11851	101	10	.	.	PUNCT
fumecheng-11851	102	1	the	the	DET
fumecheng-11851	102	2	surface	surface	NOUN
fumecheng-11851	102	3	belonging	belong	VERB
fumecheng-11851	102	4	to	to	ADP
fumecheng-11851	102	5	an	an	DET
fumecheng-11851	102	6	element	element	NOUN
fumecheng-11851	102	7	is	be	AUX
fumecheng-11851	102	8	defined	define	VERB
fumecheng-11851	102	9	on	on	ADP
fumecheng-11851	102	10	half	half	ADJ
fumecheng-11851	102	11	-	-	PUNCT
fumecheng-11851	102	12	open	open	ADJ
fumecheng-11851	102	13	intervals	interval	NOUN
fumecheng-11851	102	14	[i	[i	NOUN
fumecheng-11851	102	15	,	,	PUNCT
fumecheng-11851	102	16	i+1	i+1	ADP
fumecheng-11851	102	17	)	)	PUNCT
fumecheng-11851	102	18	and	and	CCONJ
fumecheng-11851	102	19	[j	[j	PROPN
fumecheng-11851	102	20	,	,	PUNCT
fumecheng-11851	102	21	j+1	j+1	PROPN
fumecheng-11851	102	22	)	)	PUNCT
fumecheng-11851	102	23	and	and	CCONJ
fumecheng-11851	102	24	they	they	PRON
fumecheng-11851	102	25	are	be	AUX
fumecheng-11851	102	26	recognizable	recognizable	ADJ
fumecheng-11851	102	27	after	after	ADP
fumecheng-11851	102	28	the	the	DET
fumecheng-11851	102	29	mapping	mapping	NOUN
fumecheng-11851	102	30	to	to	ADP
fumecheng-11851	102	31	the	the	DET
fumecheng-11851	102	32	physical	physical	ADJ
fumecheng-11851	102	33	space	space	NOUN
fumecheng-11851	102	34	(	(	PUNCT
fumecheng-11851	102	35	fig	fig	NOUN
fumecheng-11851	102	36	.	.	PUNCT
fumecheng-11851	103	1	1	1	NUM
fumecheng-11851	103	2	)	)	PUNCT
fumecheng-11851	103	3	.	.	PUNCT
fumecheng-11851	104	1	fig	fig	NOUN
fumecheng-11851	104	2	.	.	PUNCT
fumecheng-11851	105	1	1	1	NUM
fumecheng-11851	105	2	nurbs	nurbs	NOUN
fumecheng-11851	105	3	surface	surface	NOUN
fumecheng-11851	105	4	–	–	PUNCT
fumecheng-11851	105	5	mapping	mapping	NOUN
fumecheng-11851	105	6	between	between	ADP
fumecheng-11851	105	7	the	the	DET
fumecheng-11851	105	8	physical	physical	ADJ
fumecheng-11851	105	9	and	and	CCONJ
fumecheng-11851	105	10	parametric	parametric	ADJ
fumecheng-11851	105	11	space	space	NOUN
fumecheng-11851	105	12	the	the	DET
fumecheng-11851	105	13	surface	surface	NOUN
fumecheng-11851	105	14	of	of	ADP
fumecheng-11851	105	15	an	an	DET
fumecheng-11851	105	16	element	element	NOUN
fumecheng-11851	105	17	is	be	AUX
fumecheng-11851	105	18	only	only	ADV
fumecheng-11851	105	19	a	a	DET
fumecheng-11851	105	20	part	part	NOUN
fumecheng-11851	105	21	of	of	ADP
fumecheng-11851	105	22	the	the	DET
fumecheng-11851	105	23	whole	whole	ADJ
fumecheng-11851	105	24	patch	patch	NOUN
fumecheng-11851	105	25	.	.	PUNCT
fumecheng-11851	106	1	it	it	PRON
fumecheng-11851	106	2	is	be	AUX
fumecheng-11851	106	3	defined	define	VERB
fumecheng-11851	106	4	by	by	ADP
fumecheng-11851	106	5	the	the	DET
fumecheng-11851	106	6	necessary	necessary	ADJ
fumecheng-11851	106	7	mesh	mesh	NOUN
fumecheng-11851	106	8	parameters	parameter	NOUN
fumecheng-11851	106	9	,	,	PUNCT
fumecheng-11851	106	10	which	which	PRON
fumecheng-11851	106	11	include	include	VERB
fumecheng-11851	106	12	control	control	NOUN
fumecheng-11851	106	13	polygon	polygon	NOUN
fumecheng-11851	106	14	points	point	NOUN
fumecheng-11851	106	15	,	,	PUNCT
fumecheng-11851	106	16	weight	weight	NOUN
fumecheng-11851	106	17	coefficients	coefficient	NOUN
fumecheng-11851	106	18	and	and	CCONJ
fumecheng-11851	106	19	the	the	DET
fumecheng-11851	106	20	nurbs	nurbs	NOUN
fumecheng-11851	106	21	basis	basis	NOUN
fumecheng-11851	106	22	functions	function	NOUN
fumecheng-11851	106	23	belonging	belong	VERB
fumecheng-11851	106	24	to	to	ADP
fumecheng-11851	106	25	the	the	DET
fumecheng-11851	106	26	half	half	ADJ
fumecheng-11851	106	27	-	-	PUNCT
fumecheng-11851	106	28	open	open	ADJ
fumecheng-11851	106	29	intervals	interval	NOUN
fumecheng-11851	106	30	[i	[i	NOUN
fumecheng-11851	106	31	,	,	PUNCT
fumecheng-11851	106	32	i+1	i+1	ADP
fumecheng-11851	106	33	)	)	PUNCT
fumecheng-11851	106	34	and	and	CCONJ
fumecheng-11851	106	35	[j	[j	PROPN
fumecheng-11851	106	36	,	,	PUNCT
fumecheng-11851	106	37	j+1	j+1	PROPN
fumecheng-11851	106	38	)	)	PUNCT
fumecheng-11851	106	39	.	.	PUNCT
fumecheng-11851	107	1	the	the	DET
fumecheng-11851	107	2	nurbs	nurbs	NOUN
fumecheng-11851	107	3	basic	basic	ADJ
fumecheng-11851	107	4	functions	function	NOUN
fumecheng-11851	107	5	belonging	belong	VERB
fumecheng-11851	107	6	to	to	ADP
fumecheng-11851	107	7	the	the	DET
fumecheng-11851	107	8	points	point	NOUN
fumecheng-11851	107	9	of	of	ADP
fumecheng-11851	107	10	the	the	DET
fumecheng-11851	107	11	patch	patch	PROPN
fumecheng-11851	107	12	control	control	PROPN
fumecheng-11851	107	13	polygon	polygon	PROPN
fumecheng-11851	107	14	outside	outside	ADP
fumecheng-11851	107	15	the	the	DET
fumecheng-11851	107	16	observed	observed	ADJ
fumecheng-11851	107	17	half	half	ADJ
fumecheng-11851	107	18	-	-	PUNCT
fumecheng-11851	107	19	open	open	ADJ
fumecheng-11851	107	20	interval	interval	NOUN
fumecheng-11851	107	21	yield	yield	VERB
fumecheng-11851	107	22	a	a	DET
fumecheng-11851	107	23	zero	zero	NUM
fumecheng-11851	107	24	value	value	NOUN
fumecheng-11851	107	25	.	.	PUNCT
fumecheng-11851	108	1	consequently	consequently	ADV
fumecheng-11851	108	2	,	,	PUNCT
fumecheng-11851	108	3	they	they	PRON
fumecheng-11851	108	4	geometrically	geometrically	ADV
fumecheng-11851	108	5	nonlinear	nonlinear	VERB
fumecheng-11851	108	6	analysis	analysis	NOUN
fumecheng-11851	108	7	of	of	ADP
fumecheng-11851	108	8	piezoelectric	piezoelectric	ADJ
fumecheng-11851	108	9	active	active	ADJ
fumecheng-11851	108	10	laminated	laminate	VERB
fumecheng-11851	108	11	shells	shell	NOUN
fumecheng-11851	108	12	by	by	ADP
fumecheng-11851	108	13	means	mean	NOUN
fumecheng-11851	108	14	of	of	ADP
fumecheng-11851	108	15	isogeometric	isogeometric	ADJ
fumecheng-11851	108	16	...	...	PUNCT
fumecheng-11851	108	17	391	391	NUM
fumecheng-11851	108	18	have	have	VERB
fumecheng-11851	108	19	no	no	DET
fumecheng-11851	108	20	influence	influence	NOUN
fumecheng-11851	108	21	on	on	ADP
fumecheng-11851	108	22	this	this	DET
fumecheng-11851	108	23	part	part	NOUN
fumecheng-11851	108	24	of	of	ADP
fumecheng-11851	108	25	the	the	DET
fumecheng-11851	108	26	geometry	geometry	NOUN
fumecheng-11851	108	27	.	.	PUNCT
fumecheng-11851	109	1	in	in	ADP
fumecheng-11851	109	2	order	order	NOUN
fumecheng-11851	109	3	to	to	PART
fumecheng-11851	109	4	keep	keep	VERB
fumecheng-11851	109	5	track	track	NOUN
fumecheng-11851	109	6	of	of	ADP
fumecheng-11851	109	7	this	this	DET
fumecheng-11851	109	8	fact	fact	NOUN
fumecheng-11851	109	9	,	,	PUNCT
fumecheng-11851	109	10	all	all	DET
fumecheng-11851	109	11	the	the	DET
fumecheng-11851	109	12	control	control	NOUN
fumecheng-11851	109	13	points	point	NOUN
fumecheng-11851	109	14	that	that	PRON
fumecheng-11851	109	15	define	define	VERB
fumecheng-11851	109	16	the	the	DET
fumecheng-11851	109	17	element	element	NOUN
fumecheng-11851	109	18	geometry	geometry	NOUN
fumecheng-11851	109	19	and	and	CCONJ
fumecheng-11851	109	20	their	their	PRON
fumecheng-11851	109	21	basic	basic	ADJ
fumecheng-11851	109	22	functions	function	NOUN
fumecheng-11851	109	23	are	be	AUX
fumecheng-11851	109	24	numbered	number	VERB
fumecheng-11851	109	25	from	from	ADP
fumecheng-11851	109	26	1	1	NUM
fumecheng-11851	109	27	to	to	ADP
fumecheng-11851	109	28	nen	nen	PROPN
fumecheng-11851	109	29	,	,	PUNCT
fumecheng-11851	109	30	with	with	ADP
fumecheng-11851	109	31	nen=(p+1)(q+1	nen=(p+1)(q+1	PROPN
fumecheng-11851	109	32	)	)	PUNCT
fumecheng-11851	109	33	.	.	PUNCT
fumecheng-11851	110	1	the	the	DET
fumecheng-11851	110	2	initial	initial	ADJ
fumecheng-11851	110	3	mesh	mesh	NOUN
fumecheng-11851	110	4	of	of	ADP
fumecheng-11851	110	5	finite	finite	ADJ
fumecheng-11851	110	6	elements	element	NOUN
fumecheng-11851	110	7	has	have	VERB
fumecheng-11851	110	8	a	a	DET
fumecheng-11851	110	9	total	total	ADJ
fumecheng-11851	110	10	number	number	NOUN
fumecheng-11851	110	11	of	of	ADP
fumecheng-11851	110	12	finite	finite	ADJ
fumecheng-11851	110	13	elements	element	NOUN
fumecheng-11851	110	14	determined	determine	VERB
fumecheng-11851	110	15	by	by	ADP
fumecheng-11851	110	16	the	the	DET
fumecheng-11851	110	17	number	number	NOUN
fumecheng-11851	110	18	of	of	ADP
fumecheng-11851	110	19	elements	element	NOUN
fumecheng-11851	110	20	in	in	ADP
fumecheng-11851	110	21	the	the	DET
fumecheng-11851	110	22	index	index	NOUN
fumecheng-11851	110	23	vectors	vector	NOUN
fumecheng-11851	110	24	and	and	CCONJ
fumecheng-11851	110	25	the	the	DET
fumecheng-11851	110	26	degrees	degree	NOUN
fumecheng-11851	110	27	of	of	ADP
fumecheng-11851	110	28	the	the	DET
fumecheng-11851	110	29	basic	basic	ADJ
fumecheng-11851	110	30	functions	function	NOUN
fumecheng-11851	110	31	.	.	PUNCT
fumecheng-11851	111	1	it	it	PRON
fumecheng-11851	111	2	also	also	ADV
fumecheng-11851	111	3	implies	imply	VERB
fumecheng-11851	111	4	that	that	SCONJ
fumecheng-11851	111	5	there	there	PRON
fumecheng-11851	111	6	is	be	VERB
fumecheng-11851	111	7	no	no	DET
fumecheng-11851	111	8	repetition	repetition	NOUN
fumecheng-11851	111	9	of	of	ADP
fumecheng-11851	111	10	elements	element	NOUN
fumecheng-11851	111	11	in	in	ADP
fumecheng-11851	111	12	the	the	DET
fumecheng-11851	111	13	index	index	NOUN
fumecheng-11851	111	14	vectors	vector	NOUN
fumecheng-11851	111	15	except	except	SCONJ
fumecheng-11851	111	16	at	at	ADP
fumecheng-11851	111	17	the	the	DET
fumecheng-11851	111	18	beginning	beginning	NOUN
fumecheng-11851	111	19	and	and	CCONJ
fumecheng-11851	111	20	the	the	DET
fumecheng-11851	111	21	end	end	NOUN
fumecheng-11851	111	22	of	of	ADP
fumecheng-11851	111	23	the	the	DET
fumecheng-11851	111	24	vector	vector	NOUN
fumecheng-11851	111	25	:	:	PUNCT
fumecheng-11851	111	26	(	(	PUNCT
fumecheng-11851	111	27	)	)	PUNCT
fumecheng-11851	111	28	(	(	PUNCT
fumecheng-11851	111	29	)	)	PUNCT
fumecheng-11851	111	30	en	en	X
fumecheng-11851	111	31	n	n	CCONJ
fumecheng-11851	111	32	p	p	NOUN
fumecheng-11851	111	33	m	m	VERB
fumecheng-11851	111	34	q=	q=	ADV
fumecheng-11851	111	35	−	−	PROPN
fumecheng-11851	111	36	−	−	PROPN
fumecheng-11851	112	1	(	(	PUNCT
fumecheng-11851	112	2	6	6	NUM
fumecheng-11851	112	3	)	)	PUNCT
fumecheng-11851	112	4	here	here	ADV
fumecheng-11851	112	5	,	,	PUNCT
fumecheng-11851	112	6	m	m	VERB
fumecheng-11851	112	7	and	and	CCONJ
fumecheng-11851	112	8	n	n	PRON
fumecheng-11851	112	9	are	be	AUX
fumecheng-11851	112	10	the	the	DET
fumecheng-11851	112	11	number	number	NOUN
fumecheng-11851	112	12	of	of	ADP
fumecheng-11851	112	13	points	point	NOUN
fumecheng-11851	112	14	of	of	ADP
fumecheng-11851	112	15	the	the	DET
fumecheng-11851	112	16	control	control	NOUN
fumecheng-11851	112	17	polygon	polygon	NOUN
fumecheng-11851	112	18	along	along	ADP
fumecheng-11851	112	19	the	the	DET
fumecheng-11851	112	20	and	and	PROPN
fumecheng-11851	112	21			NUM
fumecheng-11851	112	22	direction	direction	NOUN
fumecheng-11851	112	23	,	,	PUNCT
fumecheng-11851	112	24	respectively	respectively	ADV
fumecheng-11851	112	25	,	,	PUNCT
fumecheng-11851	112	26	while	while	SCONJ
fumecheng-11851	112	27	p	p	PRON
fumecheng-11851	112	28	and	and	CCONJ
fumecheng-11851	112	29	q	q	NOUN
fumecheng-11851	112	30	are	be	AUX
fumecheng-11851	112	31	the	the	DET
fumecheng-11851	112	32	basic	basic	ADJ
fumecheng-11851	112	33	function	function	NOUN
fumecheng-11851	112	34	degrees	degree	NOUN
fumecheng-11851	112	35	in	in	ADP
fumecheng-11851	112	36	the	the	DET
fumecheng-11851	112	37	and	and	PROPN
fumecheng-11851	112	38			NUM
fumecheng-11851	112	39	directions	direction	NOUN
fumecheng-11851	112	40	,	,	PUNCT
fumecheng-11851	112	41	respectively	respectively	ADV
fumecheng-11851	112	42	.	.	PUNCT
fumecheng-11851	113	1	there	there	PRON
fumecheng-11851	113	2	are	be	VERB
fumecheng-11851	113	3	several	several	ADJ
fumecheng-11851	113	4	possibilities	possibility	NOUN
fumecheng-11851	113	5	to	to	PART
fumecheng-11851	113	6	change	change	VERB
fumecheng-11851	113	7	the	the	DET
fumecheng-11851	113	8	initial	initial	ADJ
fumecheng-11851	113	9	mesh	mesh	NOUN
fumecheng-11851	113	10	.	.	PUNCT
fumecheng-11851	114	1	knots	knot	NOUN
fumecheng-11851	114	2	may	may	AUX
fumecheng-11851	114	3	be	be	AUX
fumecheng-11851	114	4	inserted	insert	VERB
fumecheng-11851	114	5	or	or	CCONJ
fumecheng-11851	114	6	removed	remove	VERB
fumecheng-11851	114	7	from	from	ADP
fumecheng-11851	114	8	the	the	DET
fumecheng-11851	114	9	knot	knot	NOUN
fumecheng-11851	114	10	vectors	vector	NOUN
fumecheng-11851	114	11	(	(	PUNCT
fumecheng-11851	114	12	h	h	NOUN
fumecheng-11851	114	13	-	-	PUNCT
fumecheng-11851	114	14	refinement	refinement	NOUN
fumecheng-11851	114	15	)	)	PUNCT
fumecheng-11851	114	16	,	,	PUNCT
fumecheng-11851	114	17	the	the	DET
fumecheng-11851	114	18	degree	degree	NOUN
fumecheng-11851	114	19	of	of	ADP
fumecheng-11851	114	20	basic	basic	ADJ
fumecheng-11851	114	21	functions	function	NOUN
fumecheng-11851	114	22	may	may	AUX
fumecheng-11851	114	23	be	be	AUX
fumecheng-11851	114	24	changed	change	VERB
fumecheng-11851	114	25	(	(	PUNCT
fumecheng-11851	114	26	p	p	NOUN
fumecheng-11851	114	27	-	-	PUNCT
fumecheng-11851	114	28	refinement	refinement	NOUN
fumecheng-11851	114	29	)	)	PUNCT
fumecheng-11851	114	30	and	and	CCONJ
fumecheng-11851	114	31	the	the	DET
fumecheng-11851	114	32	degree	degree	NOUN
fumecheng-11851	114	33	of	of	ADP
fumecheng-11851	114	34	basic	basic	ADJ
fumecheng-11851	114	35	functions	function	NOUN
fumecheng-11851	114	36	may	may	AUX
fumecheng-11851	114	37	also	also	ADV
fumecheng-11851	114	38	be	be	AUX
fumecheng-11851	114	39	changed	change	VERB
fumecheng-11851	114	40	followed	follow	VERB
fumecheng-11851	114	41	by	by	ADP
fumecheng-11851	114	42	insertion	insertion	NOUN
fumecheng-11851	114	43	of	of	ADP
fumecheng-11851	114	44	new	new	ADJ
fumecheng-11851	114	45	knots	knot	NOUN
fumecheng-11851	114	46	into	into	ADP
fumecheng-11851	114	47	the	the	DET
fumecheng-11851	114	48	knot	knot	NOUN
fumecheng-11851	114	49	vectors	vector	NOUN
fumecheng-11851	114	50	(	(	PUNCT
fumecheng-11851	114	51	k	k	NOUN
fumecheng-11851	114	52	-	-	NOUN
fumecheng-11851	114	53	refinement	refinement	NOUN
fumecheng-11851	114	54	)	)	PUNCT
fumecheng-11851	114	55	.	.	PUNCT
fumecheng-11851	115	1	the	the	DET
fumecheng-11851	115	2	degree	degree	NOUN
fumecheng-11851	115	3	of	of	ADP
fumecheng-11851	115	4	continuity	continuity	NOUN
fumecheng-11851	115	5	of	of	ADP
fumecheng-11851	115	6	the	the	DET
fumecheng-11851	115	7	basic	basic	ADJ
fumecheng-11851	115	8	functions	function	NOUN
fumecheng-11851	115	9	across	across	ADP
fumecheng-11851	115	10	the	the	DET
fumecheng-11851	115	11	elements	element	NOUN
fumecheng-11851	115	12	may	may	AUX
fumecheng-11851	115	13	be	be	AUX
fumecheng-11851	115	14	affected	affect	VERB
fumecheng-11851	115	15	by	by	ADP
fumecheng-11851	115	16	the	the	DET
fumecheng-11851	115	17	last	last	ADJ
fumecheng-11851	115	18	mentioned	mention	VERB
fumecheng-11851	115	19	technique	technique	NOUN
fumecheng-11851	115	20	.	.	PUNCT
fumecheng-11851	116	1	3	3	X
fumecheng-11851	116	2	.	.	X
fumecheng-11851	116	3	isogeometric	isogeometric	ADJ
fumecheng-11851	116	4	shell	shell	NOUN
fumecheng-11851	116	5	formulation	formulation	NOUN
fumecheng-11851	116	6	four	four	NUM
fumecheng-11851	116	7	coordinate	coordinate	NOUN
fumecheng-11851	116	8	systems	system	NOUN
fumecheng-11851	116	9	are	be	AUX
fumecheng-11851	116	10	used	use	VERB
fumecheng-11851	116	11	in	in	ADP
fumecheng-11851	116	12	the	the	DET
fumecheng-11851	116	13	formulation	formulation	NOUN
fumecheng-11851	116	14	of	of	ADP
fumecheng-11851	116	15	the	the	DET
fumecheng-11851	116	16	shell	shell	ADJ
fumecheng-11851	116	17	isogeometric	isogeometric	ADJ
fumecheng-11851	116	18	finite	finite	PROPN
fumecheng-11851	116	19	element	element	NOUN
fumecheng-11851	116	20	.	.	PUNCT
fumecheng-11851	117	1	those	those	PRON
fumecheng-11851	117	2	would	would	AUX
fumecheng-11851	117	3	be	be	AUX
fumecheng-11851	117	4	the	the	DET
fumecheng-11851	117	5	global	global	ADJ
fumecheng-11851	117	6	cartesian	cartesian	ADJ
fumecheng-11851	117	7	coordinate	coordinate	NOUN
fumecheng-11851	117	8	system	system	NOUN
fumecheng-11851	117	9	(	(	PUNCT
fumecheng-11851	117	10	x	x	X
fumecheng-11851	117	11	,	,	PUNCT
fumecheng-11851	117	12	y	y	PROPN
fumecheng-11851	117	13	,	,	PUNCT
fumecheng-11851	117	14	z	z	PROPN
fumecheng-11851	117	15	)	)	PUNCT
fumecheng-11851	117	16	,	,	PUNCT
fumecheng-11851	117	17	the	the	DET
fumecheng-11851	117	18	natural	natural	ADJ
fumecheng-11851	117	19	coordinate	coordinate	NOUN
fumecheng-11851	117	20	system	system	NOUN
fumecheng-11851	117	21	(	(	PUNCT
fumecheng-11851	117	22	r	r	NOUN
fumecheng-11851	117	23	,	,	PUNCT
fumecheng-11851	117	24	s	s	PROPN
fumecheng-11851	117	25	,	,	PUNCT
fumecheng-11851	117	26	t	t	PROPN
fumecheng-11851	117	27	)	)	PUNCT
fumecheng-11851	117	28	with	with	ADP
fumecheng-11851	117	29	coordinate	coordinate	ADJ
fumecheng-11851	117	30	values	value	NOUN
fumecheng-11851	117	31	-1	-1	PUNCT
fumecheng-11851	117	32	<	<	X
fumecheng-11851	117	33	r	r	X
fumecheng-11851	117	34	,	,	PUNCT
fumecheng-11851	117	35	s	s	PROPN
fumecheng-11851	117	36	,	,	PUNCT
fumecheng-11851	117	37	t<+1	t<+1	PROPN
fumecheng-11851	117	38	,	,	PUNCT
fumecheng-11851	117	39	the	the	DET
fumecheng-11851	117	40	local	local	ADJ
fumecheng-11851	117	41	cartesian	cartesian	ADJ
fumecheng-11851	117	42	coordinate	coordinate	NOUN
fumecheng-11851	117	43	system	system	NOUN
fumecheng-11851	117	44	(	(	PUNCT
fumecheng-11851	117	45	x	x	NOUN
fumecheng-11851	117	46	’	'	PUNCT
fumecheng-11851	117	47	,	,	PUNCT
fumecheng-11851	117	48	y	y	PROPN
fumecheng-11851	117	49	’	'	PUNCT
fumecheng-11851	117	50	,	,	PUNCT
fumecheng-11851	117	51	z	z	NOUN
fumecheng-11851	117	52	’	'	PUNCT
fumecheng-11851	117	53	)	)	PUNCT
fumecheng-11851	117	54	,	,	PUNCT
fumecheng-11851	117	55	and	and	CCONJ
fumecheng-11851	117	56	the	the	DET
fumecheng-11851	117	57	curvilinear	curvilinear	ADJ
fumecheng-11851	117	58	coordinate	coordinate	NOUN
fumecheng-11851	117	59	system	system	NOUN
fumecheng-11851	117	60	(	(	PUNCT
fumecheng-11851	117	61			VERB
fumecheng-11851	117	62	,	,	PUNCT
fumecheng-11851	117	63			NUM
fumecheng-11851	117	64	,	,	PUNCT
fumecheng-11851	117	65			NOUN
fumecheng-11851	117	66	)	)	PUNCT
fumecheng-11851	117	67	(	(	PUNCT
fumecheng-11851	117	68	fig	fig	NOUN
fumecheng-11851	117	69	.	.	PUNCT
fumecheng-11851	117	70	2	2	NUM
fumecheng-11851	117	71	)	)	PUNCT
fumecheng-11851	117	72	.	.	PUNCT
fumecheng-11851	118	1	the	the	DET
fumecheng-11851	118	2	tangent	tangent	ADJ
fumecheng-11851	118	3	plane	plane	NOUN
fumecheng-11851	118	4	at	at	ADP
fumecheng-11851	118	5	any	any	DET
fumecheng-11851	118	6	point	point	NOUN
fumecheng-11851	118	7	of	of	ADP
fumecheng-11851	118	8	the	the	DET
fumecheng-11851	118	9	surface	surface	NOUN
fumecheng-11851	118	10	is	be	AUX
fumecheng-11851	118	11	given	give	VERB
fumecheng-11851	118	12	by	by	ADP
fumecheng-11851	118	13	vectors	vector	NOUN
fumecheng-11851	118	14	1	1	NUM
fumecheng-11851	118	15	t	t	NOUN
fumecheng-11851	118	16	'	'	NUM
fumecheng-11851	118	17	v	v	NOUN
fumecheng-11851	118	18	and	and	CCONJ
fumecheng-11851	118	19	2	2	NUM
fumecheng-11851	118	20	t	t	NOUN
fumecheng-11851	118	21	'	'	PART
fumecheng-11851	118	22	'	'	NUM
fumecheng-11851	118	23	v	v	NOUN
fumecheng-11851	118	24	determined	determined	ADJ
fumecheng-11851	118	25	as	as	ADP
fumecheng-11851	118	26	derivatives	derivative	NOUN
fumecheng-11851	118	27	of	of	ADP
fumecheng-11851	118	28	the	the	DET
fumecheng-11851	118	29	position	position	NOUN
fumecheng-11851	118	30	vector	vector	NOUN
fumecheng-11851	118	31	r	r	NOUN
fumecheng-11851	118	32	with	with	ADP
fumecheng-11851	118	33	respect	respect	NOUN
fumecheng-11851	118	34	to	to	ADP
fumecheng-11851	118	35			VERB
fumecheng-11851	118	36	and	and	CCONJ
fumecheng-11851	118	37			PROPN
fumecheng-11851	118	38	'	'	PUNCT
fumecheng-11851	118	39	1	1	NUM
fumecheng-11851	118	40	'	'	NUM
fumecheng-11851	118	41	2	2	NUM
fumecheng-11851	118	42	t	t	NOUN
fumecheng-11851	118	43	1	1	NUM
fumecheng-11851	118	44	'	'	PART
fumecheng-11851	118	45	t	t	NOUN
fumecheng-11851	118	46	1	1	NUM
fumecheng-11851	118	47	(	(	PUNCT
fumecheng-11851	118	48	,	,	PUNCT
fumecheng-11851	118	49	)	)	PUNCT
fumecheng-11851	118	50	(	(	PUNCT
fumecheng-11851	118	51	,	,	PUNCT
fumecheng-11851	118	52	)	)	PUNCT
fumecheng-11851	118	53	en	en	ADP
fumecheng-11851	118	54	en	en	X
fumecheng-11851	118	55	n	n	PROPN
fumecheng-11851	118	56	k	k	PROPN
fumecheng-11851	118	57	k	k	PROPN
fumecheng-11851	118	58	k	k	PROPN
fumecheng-11851	119	1	n	n	CCONJ
fumecheng-11851	119	2	k	k	PROPN
fumecheng-11851	119	3	k	k	PROPN
fumecheng-11851	119	4	k	k	PROPN
fumecheng-11851	119	5	rr	rr	PROPN
fumecheng-11851	120	1	v	v	PROPN
fumecheng-11851	120	2	p	p	X
fumecheng-11851	120	3	rr	rr	NOUN
fumecheng-11851	120	4	v	v	ADP
fumecheng-11851	120	5	p	p	NOUN
fumecheng-11851	120	6			NOUN
fumecheng-11851	120	7			NUM
fumecheng-11851	120	8			DET
fumecheng-11851	120	9			VERB
fumecheng-11851	120	10			NOUN
fumecheng-11851	120	11			NUM
fumecheng-11851	120	12			NUM
fumecheng-11851	120	13			NUM
fumecheng-11851	120	14	=	=	SYM
fumecheng-11851	120	15	=	=	SYM
fumecheng-11851	120	16			NOUN
fumecheng-11851	120	17	=	=	PUNCT
fumecheng-11851	121	1	=	=	SYM
fumecheng-11851	121	2			ADJ
fumecheng-11851	121	3			ADJ
fumecheng-11851	121	4			NOUN
fumecheng-11851	121	5	=	=	PUNCT
fumecheng-11851	121	6	=	=	SYM
fumecheng-11851	121	7			ADJ
fumecheng-11851	121	8			ADJ
fumecheng-11851	121	9			X
fumecheng-11851	121	10			X
fumecheng-11851	121	11	(	(	PUNCT
fumecheng-11851	121	12	7	7	X
fumecheng-11851	121	13	)	)	PUNCT
fumecheng-11851	121	14	fig	fig	NOUN
fumecheng-11851	121	15	.	.	PUNCT
fumecheng-11851	122	1	2	2	NUM
fumecheng-11851	122	2	coordinate	coordinate	NOUN
fumecheng-11851	122	3	systems	system	NOUN
fumecheng-11851	122	4	used	use	VERB
fumecheng-11851	122	5	in	in	ADP
fumecheng-11851	122	6	shell	shell	ADJ
fumecheng-11851	122	7	element	element	NOUN
fumecheng-11851	122	8	formulation	formulation	NOUN
fumecheng-11851	122	9	here	here	ADV
fumecheng-11851	122	10	,	,	PUNCT
fumecheng-11851	122	11	rk(,	rk(,	ADJ
fumecheng-11851	122	12	)	)	PUNCT
fumecheng-11851	122	13	are	be	AUX
fumecheng-11851	122	14	the	the	DET
fumecheng-11851	122	15	basic	basic	ADJ
fumecheng-11851	122	16	functions	function	NOUN
fumecheng-11851	122	17	and	and	CCONJ
fumecheng-11851	122	18	pk	pk	X
fumecheng-11851	122	19	the	the	DET
fumecheng-11851	122	20	control	control	NOUN
fumecheng-11851	122	21	polygon	polygon	NOUN
fumecheng-11851	122	22	points	point	NOUN
fumecheng-11851	122	23	on	on	ADP
fumecheng-11851	122	24	the	the	DET
fumecheng-11851	122	25	element	element	NOUN
fumecheng-11851	122	26	surface	surface	NOUN
fumecheng-11851	122	27	.	.	PUNCT
fumecheng-11851	123	1	the	the	DET
fumecheng-11851	123	2	resulting	result	VERB
fumecheng-11851	123	3	vectors	vector	NOUN
fumecheng-11851	123	4	,	,	PUNCT
fumecheng-11851	123	5	1	1	NUM
fumecheng-11851	123	6	t	t	NOUN
fumecheng-11851	123	7	'	'	NUM
fumecheng-11851	123	8	v	v	NOUN
fumecheng-11851	123	9	and	and	CCONJ
fumecheng-11851	123	10	2	2	NUM
fumecheng-11851	123	11	t	t	NOUN
fumecheng-11851	123	12	'	'	PART
fumecheng-11851	123	13	'	'	NUM
fumecheng-11851	123	14	v	v	NOUN
fumecheng-11851	123	15	are	be	AUX
fumecheng-11851	123	16	not	not	PART
fumecheng-11851	123	17	perpendicular	perpendicular	ADJ
fumecheng-11851	123	18	to	to	ADP
fumecheng-11851	123	19	each	each	DET
fumecheng-11851	123	20	other	other	ADJ
fumecheng-11851	123	21	.	.	PUNCT
fumecheng-11851	124	1	in	in	ADP
fumecheng-11851	124	2	order	order	NOUN
fumecheng-11851	124	3	to	to	ADP
fumecheng-11851	124	4	392	392	NUM
fumecheng-11851	124	5	p.	p.	NOUN
fumecheng-11851	124	6	milić	milić	NOUN
fumecheng-11851	124	7	,	,	PUNCT
fumecheng-11851	124	8	d.	d.	PROPN
fumecheng-11851	124	9	marinković	marinković	PROPN
fumecheng-11851	124	10	,	,	PUNCT
fumecheng-11851	124	11	ž	ž	PROPN
fumecheng-11851	124	12	.	.	PUNCT
fumecheng-11851	124	13	ćojbašić	ćojbašić	PROPN
fumecheng-11851	124	14	generate	generate	VERB
fumecheng-11851	124	15	an	an	DET
fumecheng-11851	124	16	orthogonal	orthogonal	ADJ
fumecheng-11851	124	17	coordinate	coordinate	NOUN
fumecheng-11851	124	18	system	system	NOUN
fumecheng-11851	124	19	,	,	PUNCT
fumecheng-11851	124	20	the	the	DET
fumecheng-11851	124	21	vector	vector	NOUN
fumecheng-11851	124	22	product	product	NOUN
fumecheng-11851	124	23	of	of	ADP
fumecheng-11851	124	24	the	the	DET
fumecheng-11851	124	25	obtained	obtain	VERB
fumecheng-11851	124	26	two	two	NUM
fumecheng-11851	124	27	vectors	vector	NOUN
fumecheng-11851	124	28	is	be	AUX
fumecheng-11851	124	29	computed	compute	VERB
fumecheng-11851	124	30	to	to	PART
fumecheng-11851	124	31	give	give	VERB
fumecheng-11851	124	32	a	a	DET
fumecheng-11851	124	33	vector	vector	NOUN
fumecheng-11851	124	34	normal	normal	ADJ
fumecheng-11851	124	35	to	to	ADP
fumecheng-11851	124	36	the	the	DET
fumecheng-11851	124	37	tangent	tangent	NOUN
fumecheng-11851	124	38	plane	plane	NOUN
fumecheng-11851	124	39	.	.	PUNCT
fumecheng-11851	124	40	'	'	PUNCT
fumecheng-11851	124	41	'	'	PUNCT
fumecheng-11851	124	42	'	'	PUNCT
fumecheng-11851	124	43	1	1	NUM
fumecheng-11851	124	44	2	2	NUM
fumecheng-11851	124	45	'	'	PART
fumecheng-11851	124	46	t	t	NOUN
fumecheng-11851	124	47	tz	tz	NOUN
fumecheng-11851	124	48	v	v	PROPN
fumecheng-11851	124	49	v	v	NUM
fumecheng-11851	124	50	v=	v=	NOUN
fumecheng-11851	124	51			NOUN
fumecheng-11851	124	52	(	(	PUNCT
fumecheng-11851	124	53	8)	8)	NUM
fumecheng-11851	124	54	the	the	DET
fumecheng-11851	124	55	unity	unity	NOUN
fumecheng-11851	124	56	vectors	vector	NOUN
fumecheng-11851	124	57	of	of	ADP
fumecheng-11851	124	58	the	the	DET
fumecheng-11851	124	59	coordinate	coordinate	NOUN
fumecheng-11851	124	60	system	system	NOUN
fumecheng-11851	124	61	are	be	AUX
fumecheng-11851	124	62	then	then	ADV
fumecheng-11851	124	63	easily	easily	ADV
fumecheng-11851	124	64	determined	determine	VERB
fumecheng-11851	124	65	:	:	PUNCT
fumecheng-11851	124	66	2	2	NUM
fumecheng-11851	124	67	1	1	NUM
fumecheng-11851	124	68	t	t	NOUN
fumecheng-11851	124	69	t	t	NOUN
fumecheng-11851	124	70	'	'	PUNCT
fumecheng-11851	124	71	'	'	PUNCT
fumecheng-11851	124	72	'	'	VERB
fumecheng-11851	124	73	z	z	NOUN
fumecheng-11851	124	74	v	v	NOUN
fumecheng-11851	124	75	v	v	NUM
fumecheng-11851	124	76	v=	v=	NOUN
fumecheng-11851	124	77			NOUN
fumecheng-11851	124	78	(	(	PUNCT
fumecheng-11851	124	79	9	9	NUM
fumecheng-11851	124	80	)	)	PUNCT
fumecheng-11851	124	81	'	'	PUNCT
fumecheng-11851	124	82	'	'	PUNCT
fumecheng-11851	124	83	'	'	PUNCT
fumecheng-11851	124	84	1	1	NUM
fumecheng-11851	124	85	2	2	NUM
fumecheng-11851	124	86	''	''	PUNCT
fumecheng-11851	124	87	''	''	PUNCT
fumecheng-11851	124	88	''	''	PUNCT
fumecheng-11851	124	89	'	'	PUNCT
fumecheng-11851	124	90	'	'	PUNCT
fumecheng-11851	124	91	'	'	PUNCT
fumecheng-11851	124	92	1	1	NUM
fumecheng-11851	124	93	2	2	NUM
fumecheng-11851	124	94	1	1	NUM
fumecheng-11851	124	95	2	2	NUM
fumecheng-11851	124	96	3	3	NUM
fumecheng-11851	124	97	t	t	NOUN
fumecheng-11851	124	98	t	t	NOUN
fumecheng-11851	124	99	1	1	NUM
fumecheng-11851	124	100	2	2	NUM
fumecheng-11851	124	101	3	3	NUM
fumecheng-11851	124	102	t	t	NOUN
fumecheng-11851	124	103	t	t	NOUN
fumecheng-11851	124	104	1	1	NUM
fumecheng-11851	124	105	2	2	NUM
fumecheng-11851	124	106	3	3	NUM
fumecheng-11851	124	107	=	=	NOUN
fumecheng-11851	124	108	,	,	PUNCT
fumecheng-11851	124	109	=	=	SYM
fumecheng-11851	124	110	,	,	PUNCT
fumecheng-11851	124	111	=	=	SYM
fumecheng-11851	124	112	,	,	PUNCT
fumecheng-11851	124	113	''	''	PUNCT
fumecheng-11851	124	114	''	''	PUNCT
fumecheng-11851	124	115	''	''	PUNCT
fumecheng-11851	125	1	z	z	X
fumecheng-11851	125	2	''	''	PUNCT
fumecheng-11851	125	3	''	''	PUNCT
fumecheng-11851	125	4	''	''	PUNCT
fumecheng-11851	126	1	x	x	X
fumecheng-11851	126	2	y	y	PROPN
fumecheng-11851	126	3	z	z	PROPN
fumecheng-11851	126	4	''	''	PUNCT
fumecheng-11851	126	5	''	''	PUNCT
fumecheng-11851	126	6	''	''	PUNCT
fumecheng-11851	126	7	z	z	NOUN
fumecheng-11851	126	8	l	l	NOUN
fumecheng-11851	126	9	l	l	NOUN
fumecheng-11851	126	10	l	l	NOUN
fumecheng-11851	126	11	v	v	NOUN
fumecheng-11851	126	12	v	v	X
fumecheng-11851	126	13	v	v	NOUN
fumecheng-11851	126	14	e	e	X
fumecheng-11851	126	15	m	m	NOUN
fumecheng-11851	126	16	e	e	NOUN
fumecheng-11851	126	17	m	m	PROPN
fumecheng-11851	126	18	e	e	NOUN
fumecheng-11851	126	19	m	m	NOUN
fumecheng-11851	126	20	v	v	ADP
fumecheng-11851	126	21	v	v	NUM
fumecheng-11851	126	22	v	v	NOUN
fumecheng-11851	126	23	n	n	CCONJ
fumecheng-11851	126	24	n	n	ADV
fumecheng-11851	126	25	n	n	ADV
fumecheng-11851	126	26			NOUN
fumecheng-11851	127	1			NOUN
fumecheng-11851	127	2			NOUN
fumecheng-11851	128	1			NOUN
fumecheng-11851	128	2			NOUN
fumecheng-11851	129	1			NUM
fumecheng-11851	129	2			NUM
fumecheng-11851	129	3			NUM
fumecheng-11851	129	4			NUM
fumecheng-11851	129	5			NUM
fumecheng-11851	129	6			NUM
fumecheng-11851	129	7			NUM
fumecheng-11851	129	8	=	=	SYM
fumecheng-11851	129	9	=	=	SYM
fumecheng-11851	130	1	=	=	NOUN
fumecheng-11851	130	2			NUM
fumecheng-11851	130	3			NOUN
fumecheng-11851	131	1			NUM
fumecheng-11851	131	2			INTJ
fumecheng-11851	132	1			NUM
fumecheng-11851	132	2			NOUN
fumecheng-11851	132	3			NUM
fumecheng-11851	132	4			NUM
fumecheng-11851	132	5			NUM
fumecheng-11851	132	6			NUM
fumecheng-11851	132	7			NUM
fumecheng-11851	132	8			NUM
fumecheng-11851	132	9			NUM
fumecheng-11851	132	10			PROPN
fumecheng-11851	133	1			NUM
fumecheng-11851	133	2			PROPN
fumecheng-11851	134	1			NUM
fumecheng-11851	134	2			PROPN
fumecheng-11851	134	3	(	(	PUNCT
fumecheng-11851	134	4	10	10	NUM
fumecheng-11851	134	5	)	)	PUNCT
fumecheng-11851	134	6	while	while	SCONJ
fumecheng-11851	134	7	the	the	DET
fumecheng-11851	134	8	definition	definition	NOUN
fumecheng-11851	134	9	of	of	ADP
fumecheng-11851	134	10	the	the	DET
fumecheng-11851	134	11	normal	normal	ADJ
fumecheng-11851	134	12	to	to	ADP
fumecheng-11851	134	13	the	the	DET
fumecheng-11851	134	14	mid	mid	NOUN
fumecheng-11851	134	15	-	-	NOUN
fumecheng-11851	134	16	surface	surface	NOUN
fumecheng-11851	134	17	is	be	AUX
fumecheng-11851	134	18	a	a	DET
fumecheng-11851	134	19	trivial	trivial	ADJ
fumecheng-11851	134	20	task	task	NOUN
fumecheng-11851	134	21	in	in	ADP
fumecheng-11851	134	22	classical	classical	ADJ
fumecheng-11851	134	23	fem	fem	NOUN
fumecheng-11851	134	24	,	,	PUNCT
fumecheng-11851	134	25	the	the	DET
fumecheng-11851	134	26	isogeometric	isogeometric	ADJ
fumecheng-11851	134	27	formulation	formulation	NOUN
fumecheng-11851	134	28	is	be	AUX
fumecheng-11851	134	29	somewhat	somewhat	ADV
fumecheng-11851	134	30	challenging	challenging	ADJ
fumecheng-11851	134	31	with	with	ADP
fumecheng-11851	134	32	respect	respect	NOUN
fumecheng-11851	134	33	to	to	ADP
fumecheng-11851	134	34	this	this	DET
fumecheng-11851	134	35	aspect	aspect	NOUN
fumecheng-11851	134	36	.	.	PUNCT
fumecheng-11851	135	1	the	the	DET
fumecheng-11851	135	2	challenge	challenge	NOUN
fumecheng-11851	135	3	originates	originate	VERB
fumecheng-11851	135	4	from	from	ADP
fumecheng-11851	135	5	the	the	DET
fumecheng-11851	135	6	fact	fact	NOUN
fumecheng-11851	135	7	that	that	SCONJ
fumecheng-11851	135	8	the	the	DET
fumecheng-11851	135	9	control	control	NOUN
fumecheng-11851	135	10	polygon	polygon	NOUN
fumecheng-11851	135	11	points	point	NOUN
fumecheng-11851	135	12	are	be	AUX
fumecheng-11851	135	13	not	not	PART
fumecheng-11851	135	14	placed	place	VERB
fumecheng-11851	135	15	on	on	ADP
fumecheng-11851	135	16	the	the	DET
fumecheng-11851	135	17	actual	actual	ADJ
fumecheng-11851	135	18	shell	shell	NOUN
fumecheng-11851	135	19	surface	surface	NOUN
fumecheng-11851	135	20	and	and	CCONJ
fumecheng-11851	135	21	they	they	PRON
fumecheng-11851	135	22	do	do	AUX
fumecheng-11851	135	23	n’t	not	PART
fumecheng-11851	135	24	have	have	VERB
fumecheng-11851	135	25	a	a	DET
fumecheng-11851	135	26	unique	unique	ADJ
fumecheng-11851	135	27	projection	projection	NOUN
fumecheng-11851	135	28	onto	onto	ADP
fumecheng-11851	135	29	the	the	DET
fumecheng-11851	135	30	shell	shell	NOUN
fumecheng-11851	135	31	surface	surface	NOUN
fumecheng-11851	135	32	.	.	PUNCT
fumecheng-11851	136	1	the	the	DET
fumecheng-11851	136	2	issue	issue	NOUN
fumecheng-11851	136	3	has	have	AUX
fumecheng-11851	136	4	been	be	AUX
fumecheng-11851	136	5	addressed	address	VERB
fumecheng-11851	136	6	in	in	ADP
fumecheng-11851	136	7	the	the	DET
fumecheng-11851	136	8	recent	recent	ADJ
fumecheng-11851	136	9	work	work	NOUN
fumecheng-11851	136	10	by	by	ADP
fumecheng-11851	136	11	milic	milic	PROPN
fumecheng-11851	136	12	et	et	PROPN
fumecheng-11851	136	13	al	al	PROPN
fumecheng-11851	136	14	.	.	PUNCT
fumecheng-11851	137	1	[	[	X
fumecheng-11851	137	2	30	30	NUM
fumecheng-11851	137	3	]	]	PUNCT
fumecheng-11851	137	4	,	,	PUNCT
fumecheng-11851	137	5	where	where	SCONJ
fumecheng-11851	137	6	several	several	ADJ
fumecheng-11851	137	7	methods	method	NOUN
fumecheng-11851	137	8	from	from	ADP
fumecheng-11851	137	9	the	the	DET
fumecheng-11851	137	10	literature	literature	NOUN
fumecheng-11851	137	11	are	be	AUX
fumecheng-11851	137	12	reported	report	VERB
fumecheng-11851	137	13	and	and	CCONJ
fumecheng-11851	137	14	the	the	DET
fumecheng-11851	137	15	approach	approach	NOUN
fumecheng-11851	137	16	based	base	VERB
fumecheng-11851	137	17	on	on	ADP
fumecheng-11851	137	18	the	the	DET
fumecheng-11851	137	19	greville	greville	NOUN
fumecheng-11851	137	20	points	point	NOUN
fumecheng-11851	137	21	[	[	X
fumecheng-11851	137	22	31	31	NUM
fumecheng-11851	137	23	]	]	PUNCT
fumecheng-11851	137	24	is	be	AUX
fumecheng-11851	137	25	adopted	adopt	VERB
fumecheng-11851	137	26	.	.	PUNCT
fumecheng-11851	138	1	the	the	DET
fumecheng-11851	138	2	same	same	ADJ
fumecheng-11851	138	3	approach	approach	NOUN
fumecheng-11851	138	4	is	be	AUX
fumecheng-11851	138	5	also	also	ADV
fumecheng-11851	138	6	used	use	VERB
fumecheng-11851	138	7	in	in	ADP
fumecheng-11851	138	8	this	this	DET
fumecheng-11851	138	9	work	work	NOUN
fumecheng-11851	138	10	.	.	PUNCT
fumecheng-11851	139	1	a	a	DET
fumecheng-11851	139	2	point	point	NOUN
fumecheng-11851	139	3	on	on	ADP
fumecheng-11851	139	4	the	the	DET
fumecheng-11851	139	5	structure	structure	NOUN
fumecheng-11851	139	6	that	that	PRON
fumecheng-11851	139	7	is	be	AUX
fumecheng-11851	139	8	not	not	PART
fumecheng-11851	139	9	on	on	ADP
fumecheng-11851	139	10	the	the	DET
fumecheng-11851	139	11	mid	mid	NOUN
fumecheng-11851	139	12	-	-	NOUN
fumecheng-11851	139	13	surface	surface	NOUN
fumecheng-11851	139	14	is	be	AUX
fumecheng-11851	139	15	determined	determine	VERB
fumecheng-11851	139	16	by	by	ADP
fumecheng-11851	139	17	the	the	DET
fumecheng-11851	139	18	position	position	NOUN
fumecheng-11851	139	19	vector	vector	NOUN
fumecheng-11851	139	20	of	of	ADP
fumecheng-11851	139	21	its	its	PRON
fumecheng-11851	139	22	projection	projection	NOUN
fumecheng-11851	139	23	onto	onto	ADP
fumecheng-11851	139	24	the	the	DET
fumecheng-11851	139	25	midsurface	midsurface	NOUN
fumecheng-11851	139	26	and	and	CCONJ
fumecheng-11851	139	27	with	with	ADP
fumecheng-11851	139	28	the	the	DET
fumecheng-11851	139	29	distance	distance	NOUN
fumecheng-11851	139	30	in	in	ADP
fumecheng-11851	139	31	the	the	DET
fumecheng-11851	139	32	direction	direction	NOUN
fumecheng-11851	139	33	perpendicular	perpendicular	NOUN
fumecheng-11851	139	34	to	to	ADP
fumecheng-11851	139	35	the	the	DET
fumecheng-11851	139	36	mid	mid	NOUN
fumecheng-11851	139	37	-	-	NOUN
fumecheng-11851	139	38	surface	surface	NOUN
fumecheng-11851	139	39	.	.	PUNCT
fumecheng-11851	140	1	the	the	DET
fumecheng-11851	140	2	thickness	thickness	NOUN
fumecheng-11851	140	3	of	of	ADP
fumecheng-11851	140	4	the	the	DET
fumecheng-11851	140	5	shell	shell	NOUN
fumecheng-11851	140	6	is	be	AUX
fumecheng-11851	140	7	determined	determine	VERB
fumecheng-11851	140	8	interpolating	interpolate	VERB
fumecheng-11851	140	9	the	the	DET
fumecheng-11851	140	10	known	know	VERB
fumecheng-11851	140	11	thicknesses	thickness	NOUN
fumecheng-11851	140	12	hk	hk	PROPN
fumecheng-11851	140	13	at	at	ADP
fumecheng-11851	140	14	the	the	DET
fumecheng-11851	140	15	polygon	polygon	PROPN
fumecheng-11851	140	16	control	control	NOUN
fumecheng-11851	140	17	points	point	NOUN
fumecheng-11851	140	18	by	by	ADP
fumecheng-11851	140	19	means	mean	NOUN
fumecheng-11851	140	20	of	of	ADP
fumecheng-11851	140	21	their	their	PRON
fumecheng-11851	140	22	corresponding	corresponding	ADJ
fumecheng-11851	140	23	nurbs	nurb	NOUN
fumecheng-11851	140	24	functions	function	NOUN
fumecheng-11851	140	25	.	.	PUNCT
fumecheng-11851	141	1	the	the	DET
fumecheng-11851	141	2	position	position	NOUN
fumecheng-11851	141	3	of	of	ADP
fumecheng-11851	141	4	any	any	DET
fumecheng-11851	141	5	point	point	NOUN
fumecheng-11851	141	6	is	be	AUX
fumecheng-11851	141	7	given	give	VERB
fumecheng-11851	141	8	as	as	ADP
fumecheng-11851	141	9	:	:	PUNCT
fumecheng-11851	141	10	3	3	NUM
fumecheng-11851	141	11	3	3	NUM
fumecheng-11851	141	12	=	=	SYM
fumecheng-11851	141	13	1	1	NUM
fumecheng-11851	141	14	3	3	NUM
fumecheng-11851	141	15	(	(	PUNCT
fumecheng-11851	141	16	,	,	PUNCT
fumecheng-11851	141	17	)	)	PUNCT
fumecheng-11851	141	18	2	2	NUM
fumecheng-11851	141	19			ADP
fumecheng-11851	141	20			NOUN
fumecheng-11851	142	1			VERB
fumecheng-11851	142	2			ADP
fumecheng-11851	142	3			NOUN
fumecheng-11851	143	1			ADP
fumecheng-11851	143	2			NUM
fumecheng-11851	143	3			NUM
fumecheng-11851	143	4			NUM
fumecheng-11851	143	5			NUM
fumecheng-11851	143	6			NUM
fumecheng-11851	143	7			NUM
fumecheng-11851	143	8			NUM
fumecheng-11851	143	9	=	=	PUNCT
fumecheng-11851	143	10	+	+	NOUN
fumecheng-11851	143	11			NOUN
fumecheng-11851	143	12			NOUN
fumecheng-11851	143	13			NOUN
fumecheng-11851	143	14			PROPN
fumecheng-11851	143	15			NUM
fumecheng-11851	143	16			ADJ
fumecheng-11851	143	17			NUM
fumecheng-11851	143	18			NUM
fumecheng-11851	143	19			NUM
fumecheng-11851	143	20			NUM
fumecheng-11851	143	21			NUM
fumecheng-11851	143	22			NOUN
fumecheng-11851	143	23			PROPN
fumecheng-11851	143	24			PROPN
fumecheng-11851	144	1			NUM
fumecheng-11851	144	2			PROPN
fumecheng-11851	144	3			PROPN
fumecheng-11851	144	4			NOUN
fumecheng-11851	144	5			X
fumecheng-11851	144	6			X
fumecheng-11851	144	7	en	en	ADP
fumecheng-11851	144	8	k	k	PROPN
fumecheng-11851	144	9	k	k	PROPN
fumecheng-11851	145	1	xn	xn	PROPN
fumecheng-11851	146	1	k	k	PROPN
fumecheng-11851	147	1	k	k	PROPN
fumecheng-11851	147	2	k	k	PROPN
fumecheng-11851	148	1	k	k	PROPN
fumecheng-11851	148	2	y	y	PROPN
fumecheng-11851	149	1	k	k	PROPN
fumecheng-11851	149	2	k	k	PROPN
fumecheng-11851	150	1	k	k	PROPN
fumecheng-11851	151	1	z	z	NOUN
fumecheng-11851	151	2	x	x	PUNCT
fumecheng-11851	151	3	x	x	SYM
fumecheng-11851	151	4	v	v	NUM
fumecheng-11851	151	5	h	h	NOUN
fumecheng-11851	152	1	y	y	NOUN
fumecheng-11851	152	2	r	r	NOUN
fumecheng-11851	152	3	y	y	PROPN
fumecheng-11851	152	4	t	t	PROPN
fumecheng-11851	152	5	v	v	NOUN
fumecheng-11851	152	6	z	z	PROPN
fumecheng-11851	152	7	z	z	NOUN
fumecheng-11851	152	8	v	v	NOUN
fumecheng-11851	152	9			NOUN
fumecheng-11851	152	10			NUM
fumecheng-11851	152	11	(	(	PUNCT
fumecheng-11851	152	12	11	11	NUM
fumecheng-11851	152	13	)	)	PUNCT
fumecheng-11851	152	14	here	here	ADV
fumecheng-11851	152	15	,	,	PUNCT
fumecheng-11851	152	16	xk	xk	PROPN
fumecheng-11851	152	17	,	,	PUNCT
fumecheng-11851	152	18	yk	yk	PROPN
fumecheng-11851	152	19	,	,	PUNCT
fumecheng-11851	152	20	zk	zk	PROPN
fumecheng-11851	152	21	represent	represent	VERB
fumecheng-11851	152	22	the	the	DET
fumecheng-11851	152	23	control	control	NOUN
fumecheng-11851	152	24	point	point	NOUN
fumecheng-11851	152	25	global	global	ADJ
fumecheng-11851	152	26	coordinates	coordinate	NOUN
fumecheng-11851	152	27	,	,	PUNCT
fumecheng-11851	152	28	vk3x	vk3x	PROPN
fumecheng-11851	152	29	,	,	PUNCT
fumecheng-11851	152	30	vk3y	vk3y	PROPN
fumecheng-11851	152	31	,	,	PUNCT
fumecheng-11851	152	32	vk3z	vk3z	PROPN
fumecheng-11851	152	33	are	be	AUX
fumecheng-11851	152	34	the	the	DET
fumecheng-11851	152	35	components	component	NOUN
fumecheng-11851	152	36	of	of	ADP
fumecheng-11851	152	37	the	the	DET
fumecheng-11851	152	38	vector	vector	NOUN
fumecheng-11851	152	39	normal	normal	ADJ
fumecheng-11851	152	40	to	to	ADP
fumecheng-11851	152	41	the	the	DET
fumecheng-11851	152	42	mid	mid	NOUN
fumecheng-11851	152	43	-	-	NOUN
fumecheng-11851	152	44	surface	surface	NOUN
fumecheng-11851	152	45	at	at	ADP
fumecheng-11851	152	46	control	control	NOUN
fumecheng-11851	152	47	point	point	NOUN
fumecheng-11851	152	48	pk	pk	PROPN
fumecheng-11851	152	49	.	.	PUNCT
fumecheng-11851	153	1	the	the	DET
fumecheng-11851	153	2	same	same	ADJ
fumecheng-11851	153	3	shape	shape	NOUN
fumecheng-11851	153	4	functions	function	NOUN
fumecheng-11851	153	5	are	be	AUX
fumecheng-11851	153	6	applied	apply	VERB
fumecheng-11851	153	7	to	to	PART
fumecheng-11851	153	8	interpolate	interpolate	VERB
fumecheng-11851	153	9	the	the	DET
fumecheng-11851	153	10	displacement	displacement	ADJ
fumecheng-11851	153	11	field	field	NOUN
fumecheng-11851	153	12	and	and	CCONJ
fumecheng-11851	153	13	define	define	VERB
fumecheng-11851	153	14	the	the	DET
fumecheng-11851	153	15	element	element	NOUN
fumecheng-11851	153	16	geometry	geometry	NOUN
fumecheng-11851	153	17	.	.	PUNCT
fumecheng-11851	154	1	hence	hence	ADV
fumecheng-11851	154	2	:	:	PUNCT
fumecheng-11851	155	1	=	=	NOUN
fumecheng-11851	155	2	1	1	NUM
fumecheng-11851	155	3	en	en	ADP
fumecheng-11851	155	4	r	r	NOUN
fumecheng-11851	155	5	k	k	NOUN
fumecheng-11851	156	1	kn	kn	PROPN
fumecheng-11851	156	2	r	r	PROPN
fumecheng-11851	157	1	k	k	PROPN
fumecheng-11851	157	2	k	k	PROPN
fumecheng-11851	158	1	k	k	PROPN
fumecheng-11851	158	2	k	k	NOUN
fumecheng-11851	158	3	r	r	NOUN
fumecheng-11851	158	4	k	k	PROPN
fumecheng-11851	158	5	k	k	X
fumecheng-11851	158	6	u	u	X
fumecheng-11851	158	7	u	u	NOUN
fumecheng-11851	158	8	u	u	NOUN
fumecheng-11851	158	9	v	v	ADP
fumecheng-11851	158	10	r	r	NOUN
fumecheng-11851	158	11	v	v	NOUN
fumecheng-11851	158	12	v	v	NOUN
fumecheng-11851	158	13	w	w	PROPN
fumecheng-11851	158	14	w	w	PROPN
fumecheng-11851	158	15	w	w	NOUN
fumecheng-11851	158	16			NOUN
fumecheng-11851	158	17			NOUN
fumecheng-11851	158	18			NOUN
fumecheng-11851	158	19			NOUN
fumecheng-11851	159	1			PUNCT
fumecheng-11851	159	2			NUM
fumecheng-11851	159	3			NUM
fumecheng-11851	159	4			NOUN
fumecheng-11851	160	1			NUM
fumecheng-11851	160	2			NUM
fumecheng-11851	160	3			NUM
fumecheng-11851	160	4	=	=	PUNCT
fumecheng-11851	161	1	+	+	NOUN
fumecheng-11851	161	2			NOUN
fumecheng-11851	161	3			NOUN
fumecheng-11851	161	4			NOUN
fumecheng-11851	161	5			PROPN
fumecheng-11851	161	6			NUM
fumecheng-11851	161	7			ADJ
fumecheng-11851	161	8			NUM
fumecheng-11851	161	9			NUM
fumecheng-11851	161	10			NUM
fumecheng-11851	161	11			NUM
fumecheng-11851	161	12			NUM
fumecheng-11851	161	13			NOUN
fumecheng-11851	161	14			PROPN
fumecheng-11851	161	15			PROPN
fumecheng-11851	162	1			NUM
fumecheng-11851	162	2			PROPN
fumecheng-11851	162	3			PROPN
fumecheng-11851	162	4			NOUN
fumecheng-11851	162	5			X
fumecheng-11851	162	6			X
fumecheng-11851	162	7	(	(	PUNCT
fumecheng-11851	162	8	12	12	NUM
fumecheng-11851	162	9	)	)	PUNCT
fumecheng-11851	162	10	here	here	ADV
fumecheng-11851	162	11	,	,	PUNCT
fumecheng-11851	162	12	uk	uk	PROPN
fumecheng-11851	162	13	,	,	PUNCT
fumecheng-11851	162	14	vk	vk	PROPN
fumecheng-11851	162	15	and	and	CCONJ
fumecheng-11851	162	16	wk	wk	INTJ
fumecheng-11851	162	17	are	be	AUX
fumecheng-11851	162	18	the	the	DET
fumecheng-11851	162	19	control	control	NOUN
fumecheng-11851	162	20	point	point	NOUN
fumecheng-11851	162	21	displacements	displacement	NOUN
fumecheng-11851	162	22	in	in	ADP
fumecheng-11851	162	23	the	the	DET
fumecheng-11851	162	24	x-	x-	PROPN
fumecheng-11851	162	25	,	,	PUNCT
fumecheng-11851	162	26	yand	yand	PROPN
fumecheng-11851	162	27	z	z	PROPN
fumecheng-11851	162	28	directions	direction	NOUN
fumecheng-11851	162	29	respectively	respectively	ADV
fumecheng-11851	162	30	,	,	PUNCT
fumecheng-11851	162	31	while	while	SCONJ
fumecheng-11851	162	32	ur	ur	PROPN
fumecheng-11851	162	33	k	k	PROPN
fumecheng-11851	162	34	,	,	PUNCT
fumecheng-11851	162	35	vr	vr	PROPN
fumecheng-11851	162	36	k	k	PROPN
fumecheng-11851	162	37	and	and	CCONJ
fumecheng-11851	162	38	wr	wr	PROPN
fumecheng-11851	162	39	k	k	PROPN
fumecheng-11851	162	40	denote	denote	VERB
fumecheng-11851	162	41	the	the	DET
fumecheng-11851	162	42	relative	relative	ADJ
fumecheng-11851	162	43	displacements	displacement	NOUN
fumecheng-11851	162	44	caused	cause	VERB
fumecheng-11851	162	45	by	by	ADP
fumecheng-11851	162	46	rotations	rotation	NOUN
fumecheng-11851	162	47	at	at	ADP
fumecheng-11851	162	48	the	the	DET
fumecheng-11851	162	49	control	control	NOUN
fumecheng-11851	162	50	point	point	NOUN
fumecheng-11851	162	51	k.	k.	PROPN
fumecheng-11851	163	1	the	the	DET
fumecheng-11851	163	2	latter	latter	ADJ
fumecheng-11851	163	3	are	be	AUX
fumecheng-11851	163	4	to	to	PART
fumecheng-11851	163	5	be	be	AUX
fumecheng-11851	163	6	expressed	express	VERB
fumecheng-11851	163	7	via	via	ADP
fumecheng-11851	163	8	the	the	DET
fumecheng-11851	163	9	nodal	nodal	NOUN
fumecheng-11851	163	10	rotations	rotation	NOUN
fumecheng-11851	163	11	xk	xk	NOUN
fumecheng-11851	163	12	,	,	PUNCT
fumecheng-11851	163	13	yk	yk	NOUN
fumecheng-11851	163	14	and	and	CCONJ
fumecheng-11851	163	15	zk	zk	PROPN
fumecheng-11851	163	16	,	,	PUNCT
fumecheng-11851	163	17	which	which	PRON
fumecheng-11851	163	18	represent	represent	VERB
fumecheng-11851	163	19	the	the	DET
fumecheng-11851	163	20	global	global	ADJ
fumecheng-11851	163	21	rotations	rotation	NOUN
fumecheng-11851	163	22	.	.	PUNCT
fumecheng-11851	164	1	geometrically	geometrically	ADV
fumecheng-11851	164	2	nonlinear	nonlinear	VERB
fumecheng-11851	164	3	analysis	analysis	NOUN
fumecheng-11851	164	4	of	of	ADP
fumecheng-11851	164	5	piezoelectric	piezoelectric	ADJ
fumecheng-11851	164	6	active	active	ADJ
fumecheng-11851	164	7	laminated	laminate	VERB
fumecheng-11851	164	8	shells	shell	NOUN
fumecheng-11851	164	9	by	by	ADP
fumecheng-11851	164	10	means	mean	NOUN
fumecheng-11851	164	11	of	of	ADP
fumecheng-11851	164	12	isogeometric	isogeometric	NOUN
fumecheng-11851	164	13	...	...	PUNCT
fumecheng-11851	164	14	393	393	NUM
fumecheng-11851	164	15	the	the	DET
fumecheng-11851	164	16	reissner	reissner	NOUN
fumecheng-11851	164	17	-	-	PUNCT
fumecheng-11851	164	18	mindlin	mindlin	NOUN
fumecheng-11851	164	19	kinematics	kinematic	NOUN
fumecheng-11851	164	20	is	be	AUX
fumecheng-11851	164	21	applied	apply	VERB
fumecheng-11851	164	22	to	to	PART
fumecheng-11851	164	23	determine	determine	VERB
fumecheng-11851	164	24	the	the	DET
fumecheng-11851	164	25	relative	relative	ADJ
fumecheng-11851	164	26	displacement	displacement	NOUN
fumecheng-11851	164	27	of	of	ADP
fumecheng-11851	164	28	any	any	DET
fumecheng-11851	164	29	point	point	NOUN
fumecheng-11851	164	30	within	within	ADP
fumecheng-11851	164	31	the	the	DET
fumecheng-11851	164	32	shell	shell	NOUN
fumecheng-11851	164	33	with	with	ADP
fumecheng-11851	164	34	respect	respect	NOUN
fumecheng-11851	164	35	to	to	ADP
fumecheng-11851	164	36	its	its	PRON
fumecheng-11851	164	37	counterpart	counterpart	NOUN
fumecheng-11851	164	38	on	on	ADP
fumecheng-11851	164	39	the	the	DET
fumecheng-11851	164	40	mid	mid	NOUN
fumecheng-11851	164	41	-	-	NOUN
fumecheng-11851	164	42	surface	surface	NOUN
fumecheng-11851	164	43	,	,	PUNCT
fumecheng-11851	164	44	those	those	PRON
fumecheng-11851	164	45	are	be	AUX
fumecheng-11851	164	46	defined	define	VERB
fumecheng-11851	164	47	with	with	ADP
fumecheng-11851	164	48	respect	respect	NOUN
fumecheng-11851	164	49	to	to	ADP
fumecheng-11851	164	50	the	the	DET
fumecheng-11851	164	51	local	local	ADJ
fumecheng-11851	164	52	coordinate	coordinate	NOUN
fumecheng-11851	164	53	system	system	NOUN
fumecheng-11851	164	54	at	at	ADP
fumecheng-11851	164	55	control	control	NOUN
fumecheng-11851	164	56	point	point	PROPN
fumecheng-11851	164	57	k	k	PROPN
fumecheng-11851	164	58	,	,	PUNCT
fumecheng-11851	164	59	as	as	SCONJ
fumecheng-11851	164	60	follows	follow	VERB
fumecheng-11851	164	61	:	:	PUNCT
fumecheng-11851	164	62	l	l	NOUN
fumecheng-11851	164	63	2	2	NUM
fumecheng-11851	164	64	l	l	NOUN
fumecheng-11851	164	65	2	2	NUM
fumecheng-11851	164	66	l	l	NOUN
fumecheng-11851	164	67	2	2	NUM
fumecheng-11851	164	68	2	2	NUM
fumecheng-11851	164	69	2	2	NUM
fumecheng-11851	164	70			ADP
fumecheng-11851	165	1			NOUN
fumecheng-11851	165	2			ADP
fumecheng-11851	166	1			NUM
fumecheng-11851	166	2			NUM
fumecheng-11851	166	3			NOUN
fumecheng-11851	166	4			NOUN
fumecheng-11851	167	1			ADJ
fumecheng-11851	167	2			NUM
fumecheng-11851	167	3			NUM
fumecheng-11851	167	4			NUM
fumecheng-11851	167	5			NUM
fumecheng-11851	167	6			NUM
fumecheng-11851	167	7			PROPN
fumecheng-11851	167	8			NOUN
fumecheng-11851	168	1			PROPN
fumecheng-11851	168	2	=	=	PROPN
fumecheng-11851	168	3	=	=	NOUN
fumecheng-11851	168	4			NOUN
fumecheng-11851	168	5			X
fumecheng-11851	168	6			NOUN
fumecheng-11851	168	7			NUM
fumecheng-11851	168	8			NOUN
fumecheng-11851	169	1			NOUN
fumecheng-11851	169	2			AUX
fumecheng-11851	169	3			PROPN
fumecheng-11851	169	4			VERB
fumecheng-11851	169	5			PROPN
fumecheng-11851	169	6			NUM
fumecheng-11851	169	7			PROPN
fumecheng-11851	169	8			PROPN
fumecheng-11851	169	9			PROPN
fumecheng-11851	169	10			PROPN
fumecheng-11851	169	11			NUM
fumecheng-11851	169	12			NUM
fumecheng-11851	169	13			PROPN
fumecheng-11851	169	14			PROPN
fumecheng-11851	169	15			PROPN
fumecheng-11851	169	16			NOUN
fumecheng-11851	169	17			X
fumecheng-11851	169	18	r	r	NOUN
fumecheng-11851	169	19	k	k	PROPN
fumecheng-11851	169	20	xk	xk	PROPN
fumecheng-11851	169	21	x'kkr	x'kkr	PROPN
fumecheng-11851	170	1	k	k	PROPN
fumecheng-11851	171	1	k	k	PROPN
fumecheng-11851	172	1	k	k	PROPN
fumecheng-11851	172	2	k	k	PROPN
fumecheng-11851	173	1	k	k	PROPN
fumecheng-11851	173	2	yk	yk	PROPN
fumecheng-11851	174	1	k	k	PROPN
fumecheng-11851	174	2	k	k	PROPN
fumecheng-11851	175	1	y'kr	y'kr	PROPN
fumecheng-11851	176	1	k	k	PROPN
fumecheng-11851	176	2	k	k	PROPN
fumecheng-11851	176	3	zk	zk	PROPN
fumecheng-11851	176	4	u	u	PROPN
fumecheng-11851	176	5	vh	vh	PROPN
fumecheng-11851	176	6	h	h	PROPN
fumecheng-11851	176	7	v	v	PROPN
fumecheng-11851	176	8	t	t	PROPN
fumecheng-11851	176	9	-v	-v	PUNCT
fumecheng-11851	176	10	,	,	PUNCT
fumecheng-11851	176	11	v	v	ADP
fumecheng-11851	176	12	t	t	PROPN
fumecheng-11851	176	13	-v	-v	PUNCT
fumecheng-11851	176	14	,	,	PUNCT
fumecheng-11851	176	15	v	v	X
fumecheng-11851	176	16	v	v	NOUN
fumecheng-11851	176	17	w	w	NOUN
fumecheng-11851	176	18			PROPN
fumecheng-11851	176	19			X
fumecheng-11851	176	20			PROPN
fumecheng-11851	176	21			PROPN
fumecheng-11851	176	22			PROPN
fumecheng-11851	176	23	(	(	PUNCT
fumecheng-11851	176	24	13	13	NUM
fumecheng-11851	176	25	)	)	PUNCT
fumecheng-11851	176	26	here	here	ADV
fumecheng-11851	176	27	x’k	x’k	INTJ
fumecheng-11851	177	1	and	and	CCONJ
fumecheng-11851	177	2	y’k	y’k	ADV
fumecheng-11851	177	3	are	be	AUX
fumecheng-11851	177	4	the	the	DET
fumecheng-11851	177	5	nodal	nodal	NOUN
fumecheng-11851	177	6	rotations	rotation	NOUN
fumecheng-11851	177	7	with	with	ADP
fumecheng-11851	177	8	respect	respect	NOUN
fumecheng-11851	177	9	to	to	ADP
fumecheng-11851	177	10	the	the	DET
fumecheng-11851	177	11	x'and	x'and	PROPN
fumecheng-11851	177	12	y'-axis	y'-axis	PROPN
fumecheng-11851	177	13	fig	fig	NOUN
fumecheng-11851	177	14	.	.	PUNCT
fumecheng-11851	178	1	4	4	X
fumecheng-11851	178	2	.	.	NOUN
fumecheng-11851	178	3	material	material	NOUN
fumecheng-11851	178	4	properties	property	NOUN
fumecheng-11851	178	5	of	of	ADP
fumecheng-11851	178	6	composite	composite	ADJ
fumecheng-11851	178	7	laminates	laminate	NOUN
fumecheng-11851	178	8	(	(	PUNCT
fumecheng-11851	178	9	fig	fig	NOUN
fumecheng-11851	178	10	.	.	PUNCT
fumecheng-11851	179	1	3	3	X
fumecheng-11851	179	2	)	)	PUNCT
fumecheng-11851	179	3	are	be	AUX
fumecheng-11851	179	4	directionally	directionally	ADV
fumecheng-11851	179	5	dependent	dependent	ADJ
fumecheng-11851	179	6	.	.	PUNCT
fumecheng-11851	180	1	this	this	DET
fumecheng-11851	180	2	fact	fact	NOUN
fumecheng-11851	180	3	calls	call	VERB
fumecheng-11851	180	4	for	for	ADP
fumecheng-11851	180	5	the	the	DET
fumecheng-11851	180	6	definition	definition	NOUN
fumecheng-11851	180	7	of	of	ADP
fumecheng-11851	180	8	the	the	DET
fumecheng-11851	180	9	strain	strain	NOUN
fumecheng-11851	180	10	field	field	NOUN
fumecheng-11851	180	11	with	with	ADP
fumecheng-11851	180	12	respect	respect	NOUN
fumecheng-11851	180	13	to	to	ADP
fumecheng-11851	180	14	the	the	DET
fumecheng-11851	180	15	local	local	ADJ
fumecheng-11851	180	16	coordinate	coordinate	NOUN
fumecheng-11851	180	17	system	system	NOUN
fumecheng-11851	180	18	.	.	PUNCT
fumecheng-11851	181	1	this	this	PRON
fumecheng-11851	181	2	is	be	AUX
fumecheng-11851	181	3	commonly	commonly	ADV
fumecheng-11851	181	4	done	do	VERB
fumecheng-11851	181	5	so	so	SCONJ
fumecheng-11851	181	6	that	that	SCONJ
fumecheng-11851	181	7	a	a	DET
fumecheng-11851	181	8	distinction	distinction	NOUN
fumecheng-11851	181	9	is	be	AUX
fumecheng-11851	181	10	made	make	VERB
fumecheng-11851	181	11	between	between	ADP
fumecheng-11851	181	12	the	the	DET
fumecheng-11851	181	13	in	in	ADP
fumecheng-11851	181	14	-	-	PUNCT
fumecheng-11851	181	15	plane	plane	NOUN
fumecheng-11851	181	16	components	component	NOUN
fumecheng-11851	181	17	(	(	PUNCT
fumecheng-11851	181	18	membrane	membrane	NOUN
fumecheng-11851	181	19	-	-	PUNCT
fumecheng-11851	181	20	flexural	flexural	ADJ
fumecheng-11851	181	21	strains	strain	NOUN
fumecheng-11851	181	22	)	)	PUNCT
fumecheng-11851	181	23	and	and	CCONJ
fumecheng-11851	181	24	the	the	DET
fumecheng-11851	181	25	out	out	ADV
fumecheng-11851	181	26	-	-	PUNCT
fumecheng-11851	181	27	of	of	ADP
fumecheng-11851	181	28	-	-	PUNCT
fumecheng-11851	181	29	plane	plane	NOUN
fumecheng-11851	181	30	components	component	NOUN
fumecheng-11851	181	31	(	(	PUNCT
fumecheng-11851	181	32	transverse	transverse	ADJ
fumecheng-11851	181	33	shear	shear	NOUN
fumecheng-11851	181	34	)	)	PUNCT
fumecheng-11851	181	35	,	,	PUNCT
fumecheng-11851	181	36	as	as	SCONJ
fumecheng-11851	181	37	given	give	VERB
fumecheng-11851	181	38	below	below	ADV
fumecheng-11851	181	39	:	:	PUNCT
fumecheng-11851	182	1			PROPN
fumecheng-11851	182	2			PROPN
fumecheng-11851	182	3			PROPN
fumecheng-11851	182	4			PROPN
fumecheng-11851	182	5			PROPN
fumecheng-11851	182	6			PROPN
fumecheng-11851	182	7	'	'	PUNCT
fumecheng-11851	182	8	ε	ε	PROPN
fumecheng-11851	182	9	ε	ε	PROPN
fumecheng-11851	182	10	'	'	PUNCT
fumecheng-11851	182	11	x'x	x'x	PROPN
fumecheng-11851	182	12	'	'	PUNCT
fumecheng-11851	182	13	'	'	PUNCT
fumecheng-11851	182	14	y'y	y'y	PROPN
fumecheng-11851	182	15	'	'	PUNCT
fumecheng-11851	182	16	mf	mf	X
fumecheng-11851	182	17	x'y	x'y	PROPN
fumecheng-11851	182	18	'	'	PART
fumecheng-11851	182	19	'	'	PUNCT
fumecheng-11851	182	20	s	s	PROPN
fumecheng-11851	182	21	y'z	y'z	NOUN
fumecheng-11851	182	22	'	'	PUNCT
fumecheng-11851	182	23	x'z	x'z	ADV
fumecheng-11851	182	24	u	u	NOUN
fumecheng-11851	182	25	'	'	NOUN
fumecheng-11851	182	26	x	x	SYM
fumecheng-11851	182	27	'	'	PUNCT
fumecheng-11851	182	28	v	v	NOUN
fumecheng-11851	182	29	'	'	PUNCT
fumecheng-11851	182	30	y	y	NOUN
fumecheng-11851	182	31	'	'	PUNCT
fumecheng-11851	182	32	u	u	NOUN
fumecheng-11851	182	33	'	'	PUNCT
fumecheng-11851	182	34	v	v	NOUN
fumecheng-11851	182	35	'	'	PUNCT
fumecheng-11851	182	36	y	y	NOUN
fumecheng-11851	182	37	'	'	PUNCT
fumecheng-11851	182	38	x	x	NOUN
fumecheng-11851	182	39	'	'	PUNCT
fumecheng-11851	182	40	v	v	NOUN
fumecheng-11851	182	41	'	'	PUNCT
fumecheng-11851	182	42	w	w	NOUN
fumecheng-11851	182	43	'	'	PUNCT
fumecheng-11851	182	44	z	z	NOUN
fumecheng-11851	182	45	'	'	PUNCT
fumecheng-11851	182	46	y	y	PROPN
fumecheng-11851	182	47	'	'	PUNCT
fumecheng-11851	182	48	u	u	NOUN
fumecheng-11851	182	49	'	'	PUNCT
fumecheng-11851	182	50	w	w	PROPN
fumecheng-11851	182	51	'	'	PUNCT
fumecheng-11851	182	52	z	z	NOUN
fumecheng-11851	182	53	'	'	PUNCT
fumecheng-11851	182	54	x	x	SYM
fumecheng-11851	182	55	'	'	PUNCT
fumecheng-11851	182	56			PROPN
fumecheng-11851	182	57			NUM
fumecheng-11851	182	58			PROPN
fumecheng-11851	182	59			PROPN
fumecheng-11851	182	60			NUM
fumecheng-11851	182	61			NUM
fumecheng-11851	182	62			NUM
fumecheng-11851	182	63			NUM
fumecheng-11851	182	64			NUM
fumecheng-11851	182	65			NOUN
fumecheng-11851	182	66			NUM
fumecheng-11851	182	67			NUM
fumecheng-11851	182	68			PROPN
fumecheng-11851	182	69			NOUN
fumecheng-11851	182	70			NOUN
fumecheng-11851	182	71			PROPN
fumecheng-11851	182	72			NUM
fumecheng-11851	182	73			NOUN
fumecheng-11851	182	74			NUM
fumecheng-11851	182	75			NUM
fumecheng-11851	182	76			NOUN
fumecheng-11851	182	77			NUM
fumecheng-11851	182	78			NUM
fumecheng-11851	182	79			NUM
fumecheng-11851	182	80			ADJ
fumecheng-11851	182	81			PROPN
fumecheng-11851	182	82			NOUN
fumecheng-11851	182	83			NUM
fumecheng-11851	182	84			NUM
fumecheng-11851	182	85			NUM
fumecheng-11851	182	86	+	+	NOUN
fumecheng-11851	182	87			NUM
fumecheng-11851	182	88			NUM
fumecheng-11851	182	89			NUM
fumecheng-11851	182	90			NUM
fumecheng-11851	182	91			NUM
fumecheng-11851	182	92			NUM
fumecheng-11851	182	93			ADJ
fumecheng-11851	182	94	=	=	PROPN
fumecheng-11851	182	95	−	−	PROPN
fumecheng-11851	182	96	−	−	PROPN
fumecheng-11851	182	97	=	=	PUNCT
fumecheng-11851	183	1	=	=	NOUN
fumecheng-11851	183	2			NUM
fumecheng-11851	183	3			NOUN
fumecheng-11851	184	1			NUM
fumecheng-11851	184	2			INTJ
fumecheng-11851	185	1			NUM
fumecheng-11851	185	2			NOUN
fumecheng-11851	185	3	−	−	PROPN
fumecheng-11851	186	1	−	−	NOUN
fumecheng-11851	186	2			NUM
fumecheng-11851	186	3			NUM
fumecheng-11851	186	4			NUM
fumecheng-11851	186	5			NUM
fumecheng-11851	186	6	−	−	NOUN
fumecheng-11851	186	7	−	−	NUM
fumecheng-11851	186	8			NUM
fumecheng-11851	186	9			NUM
fumecheng-11851	186	10			NUM
fumecheng-11851	186	11			NUM
fumecheng-11851	186	12			PRON
fumecheng-11851	186	13			PROPN
fumecheng-11851	186	14			PROPN
fumecheng-11851	186	15			PROPN
fumecheng-11851	186	16			PROPN
fumecheng-11851	186	17			NUM
fumecheng-11851	186	18			NUM
fumecheng-11851	186	19			NUM
fumecheng-11851	186	20	+	+	NOUN
fumecheng-11851	186	21			NUM
fumecheng-11851	186	22			NUM
fumecheng-11851	186	23			PRON
fumecheng-11851	186	24			PROPN
fumecheng-11851	186	25			PROPN
fumecheng-11851	186	26			ADJ
fumecheng-11851	186	27			ADJ
fumecheng-11851	186	28			NUM
fumecheng-11851	186	29			NUM
fumecheng-11851	186	30			PRON
fumecheng-11851	186	31			PROPN
fumecheng-11851	186	32			ADJ
fumecheng-11851	187	1	+	+	PRON
fumecheng-11851	187	2			X
fumecheng-11851	187	3			NUM
fumecheng-11851	187	4			ADJ
fumecheng-11851	187	5			PRON
fumecheng-11851	187	6			PROPN
fumecheng-11851	187	7	(	(	PUNCT
fumecheng-11851	187	8	14	14	NUM
fumecheng-11851	187	9	)	)	PUNCT
fumecheng-11851	187	10	fig	fig	NOUN
fumecheng-11851	187	11	.	.	PUNCT
fumecheng-11851	188	1	3	3	NUM
fumecheng-11851	188	2	laminated	laminate	VERB
fumecheng-11851	188	3	structure	structure	NOUN
fumecheng-11851	188	4	the	the	DET
fumecheng-11851	188	5	derivatives	derivative	NOUN
fumecheng-11851	188	6	of	of	ADP
fumecheng-11851	188	7	the	the	DET
fumecheng-11851	188	8	local	local	ADJ
fumecheng-11851	188	9	displacements	displacement	NOUN
fumecheng-11851	188	10	with	with	ADP
fumecheng-11851	188	11	respect	respect	NOUN
fumecheng-11851	188	12	to	to	ADP
fumecheng-11851	188	13	the	the	DET
fumecheng-11851	188	14	local	local	ADJ
fumecheng-11851	188	15	coordinates	coordinate	NOUN
fumecheng-11851	188	16	are	be	AUX
fumecheng-11851	188	17	obtained	obtain	VERB
fumecheng-11851	188	18	from	from	ADP
fumecheng-11851	188	19	the	the	DET
fumecheng-11851	188	20	derivatives	derivative	NOUN
fumecheng-11851	188	21	of	of	ADP
fumecheng-11851	188	22	the	the	DET
fumecheng-11851	188	23	global	global	ADJ
fumecheng-11851	188	24	displacements	displacement	NOUN
fumecheng-11851	188	25	in	in	ADP
fumecheng-11851	188	26	the	the	DET
fumecheng-11851	188	27	global	global	ADJ
fumecheng-11851	188	28	coordinate	coordinate	NOUN
fumecheng-11851	188	29	system	system	NOUN
fumecheng-11851	188	30	by	by	ADP
fumecheng-11851	188	31	means	mean	NOUN
fumecheng-11851	188	32	of	of	ADP
fumecheng-11851	188	33	the	the	DET
fumecheng-11851	188	34	transformation	transformation	NOUN
fumecheng-11851	188	35	matrix	matrix	NOUN
fumecheng-11851	188	36	:	:	PUNCT
fumecheng-11851	188	37	394	394	NUM
fumecheng-11851	188	38	p.	p.	NOUN
fumecheng-11851	188	39	milić	milić	NOUN
fumecheng-11851	188	40	,	,	PUNCT
fumecheng-11851	188	41	d.	d.	PROPN
fumecheng-11851	188	42	marinković	marinković	PROPN
fumecheng-11851	188	43	,	,	PUNCT
fumecheng-11851	188	44	ž	ž	PROPN
fumecheng-11851	188	45	.	.	PUNCT
fumecheng-11851	189	1	ćojbašić	ćojbašić	VERB
fumecheng-11851	189	2	l	l	NOUN
fumecheng-11851	190	1	2	2	NUM
fumecheng-11851	190	2	l	l	NOUN
fumecheng-11851	190	3	2	2	NUM
fumecheng-11851	190	4	3	3	NUM
fumecheng-11851	190	5	3	3	NUM
fumecheng-11851	190	6	,	,	PUNCT
fumecheng-11851	190	7	,	,	PUNCT
fumecheng-11851	190	8	,	,	PUNCT
fumecheng-11851	190	9	,	,	PUNCT
fumecheng-11851	190	10	,	,	PUNCT
fumecheng-11851	190	11	,	,	PUNCT
fumecheng-11851	190	12	,	,	PUNCT
fumecheng-11851	190	13	,	,	PUNCT
fumecheng-11851	190	14	,	,	PUNCT
fumecheng-11851	190	15	,	,	PUNCT
fumecheng-11851	190	16	,	,	PUNCT
fumecheng-11851	190	17	k	k	X
fumecheng-11851	190	18	,	,	PUNCT
fumecheng-11851	190	19	x	x	INTJ
fumecheng-11851	190	20	,	,	PUNCT
fumecheng-11851	190	21	y	y	PROPN
fumecheng-11851	190	22	,	,	PUNCT
fumecheng-11851	190	23	x	x	INTJ
fumecheng-11851	190	24	,	,	PUNCT
fumecheng-11851	190	25	x	x	INTJ
fumecheng-11851	190	26	,	,	PUNCT
fumecheng-11851	190	27	x	x	X
fumecheng-11851	190	28	,	,	PUNCT
fumecheng-11851	190	29	x	x	INTJ
fumecheng-11851	190	30	,	,	PUNCT
fumecheng-11851	190	31	'	'	PUNCT
fumecheng-11851	190	32	,	,	PUNCT
fumecheng-11851	190	33	,	,	PUNCT
fumecheng-11851	190	34	y	y	PROPN
fumecheng-11851	190	35	'	'	PUNCT
fumecheng-11851	190	36	k	k	NOUN
fumecheng-11851	190	37	,	,	PUNCT
fumecheng-11851	190	38	y	y	PROPN
fumecheng-11851	190	39	,	,	PUNCT
fumecheng-11851	190	40	y	y	PROPN
fumecheng-11851	190	41	,	,	PUNCT
fumecheng-11851	190	42	y	y	PROPN
fumecheng-11851	190	43	k	k	PROPN
fumecheng-11851	190	44	k	k	PROPN
fumecheng-11851	191	1	k	k	PROPN
fumecheng-11851	191	2	,	,	PUNCT
fumecheng-11851	191	3	y	y	PROPN
fumecheng-11851	191	4	,	,	PUNCT
fumecheng-11851	191	5	y	y	PROPN
fumecheng-11851	191	6	,	,	PUNCT
fumecheng-11851	191	7	,	,	PUNCT
fumecheng-11851	191	8	,	,	PUNCT
fumecheng-11851	191	9	,	,	PUNCT
fumecheng-11851	191	10	z	z	NOUN
fumecheng-11851	191	11	,	,	PUNCT
fumecheng-11851	191	12	z	z	PROPN
fumecheng-11851	191	13	,	,	PUNCT
fumecheng-11851	191	14	zk	zk	PROPN
fumecheng-11851	191	15	,	,	PUNCT
fumecheng-11851	191	16	z	z	NOUN
fumecheng-11851	191	17	,	,	PUNCT
fumecheng-11851	191	18	z	z	NOUN
fumecheng-11851	191	19	,	,	PUNCT
fumecheng-11851	191	20	z	z	NOUN
fumecheng-11851	191	21	u	u	NOUN
fumecheng-11851	191	22	v	v	ADP
fumecheng-11851	191	23	w	w	PROPN
fumecheng-11851	191	24	v	v	NUM
fumecheng-11851	191	25	u	u	PROPN
fumecheng-11851	191	26	v	v	NOUN
fumecheng-11851	191	27	w	w	NOUN
fumecheng-11851	191	28	u	u	PROPN
fumecheng-11851	191	29	v	v	ADP
fumecheng-11851	191	30	w	w	PROPN
fumecheng-11851	191	31	v	v	NUM
fumecheng-11851	191	32	u	u	PROPN
fumecheng-11851	191	33	v	v	ADP
fumecheng-11851	191	34	w	w	NOUN
fumecheng-11851	191	35	v	v	NUM
fumecheng-11851	191	36	v	v	NUM
fumecheng-11851	191	37	v	v	ADP
fumecheng-11851	191	38	u	u	PROPN
fumecheng-11851	191	39	v	v	ADP
fumecheng-11851	191	40	wvu	wvu	PROPN
fumecheng-11851	191	41	v	v	PROPN
fumecheng-11851	191	42	w	w	PROPN
fumecheng-11851	191	43			PROPN
fumecheng-11851	191	44			ADJ
fumecheng-11851	191	45			PROPN
fumecheng-11851	191	46			ADJ
fumecheng-11851	191	47			PROPN
fumecheng-11851	191	48			ADJ
fumecheng-11851	191	49			NOUN
fumecheng-11851	191	50			PROPN
fumecheng-11851	191	51			NOUN
fumecheng-11851	191	52			NOUN
fumecheng-11851	191	53			NOUN
fumecheng-11851	191	54			NOUN
fumecheng-11851	191	55			NUM
fumecheng-11851	191	56			NOUN
fumecheng-11851	191	57			NOUN
fumecheng-11851	191	58	=	=	SYM
fumecheng-11851	191	59			NOUN
fumecheng-11851	191	60			NOUN
fumecheng-11851	191	61			NOUN
fumecheng-11851	191	62			NOUN
fumecheng-11851	191	63			NOUN
fumecheng-11851	191	64			PROPN
fumecheng-11851	191	65			NOUN
fumecheng-11851	191	66			PROPN
fumecheng-11851	191	67			NOUN
fumecheng-11851	191	68			NOUN
fumecheng-11851	191	69			NOUN
fumecheng-11851	191	70			NOUN
fumecheng-11851	191	71			NOUN
fumecheng-11851	191	72			NOUN
fumecheng-11851	191	73			PROPN
fumecheng-11851	191	74			PROPN
fumecheng-11851	191	75			ADJ
fumecheng-11851	191	76			PROPN
fumecheng-11851	191	77			PROPN
fumecheng-11851	191	78	(	(	PUNCT
fumecheng-11851	191	79	17	17	NUM
fumecheng-11851	191	80	)	)	PUNCT
fumecheng-11851	192	1	where	where	SCONJ
fumecheng-11851	192	2	,	,	PUNCT
fumecheng-11851	192	3	for	for	ADP
fumecheng-11851	192	4	instance	instance	NOUN
fumecheng-11851	192	5	,	,	PUNCT
fumecheng-11851	192	6	,	,	PUNCT
fumecheng-11851	192	7	,	,	PUNCT
fumecheng-11851	192	8	,	,	PUNCT
fumecheng-11851	192	9	x	x	SYM
fumecheng-11851	192	10	u	u	NOUN
fumecheng-11851	192	11	=	=	NOUN
fumecheng-11851	192	12	∂u/∂x	∂u/∂x	NOUN
fumecheng-11851	192	13	and	and	CCONJ
fumecheng-11851	192	14	,	,	PUNCT
fumecheng-11851	192	15	xu	xu	PROPN
fumecheng-11851	192	16	=	=	PUNCT
fumecheng-11851	192	17	∂u/∂x	∂u/∂x	PROPN
fumecheng-11851	192	18	.	.	PUNCT
fumecheng-11851	193	1	the	the	DET
fumecheng-11851	193	2	derivatives	derivative	NOUN
fumecheng-11851	193	3	are	be	AUX
fumecheng-11851	193	4	transformed	transform	VERB
fumecheng-11851	193	5	from	from	ADP
fumecheng-11851	193	6	the	the	DET
fumecheng-11851	193	7	natural	natural	ADJ
fumecheng-11851	193	8	to	to	ADP
fumecheng-11851	193	9	the	the	DET
fumecheng-11851	193	10	global	global	ADJ
fumecheng-11851	193	11	coordinate	coordinate	NOUN
fumecheng-11851	193	12	system	system	NOUN
fumecheng-11851	193	13	using	use	VERB
fumecheng-11851	193	14	the	the	DET
fumecheng-11851	193	15	jacobian	jacobian	ADJ
fumecheng-11851	193	16	inverse	inverse	NOUN
fumecheng-11851	193	17	matrix	matrix	NOUN
fumecheng-11851	193	18	:	:	PUNCT
fumecheng-11851	193	19			ADJ
fumecheng-11851	193	20			NOUN
fumecheng-11851	193	21	,	,	PUNCT
fumecheng-11851	193	22	,	,	PUNCT
fumecheng-11851	193	23	,	,	PUNCT
fumecheng-11851	193	24	,	,	PUNCT
fumecheng-11851	193	25	,	,	PUNCT
fumecheng-11851	193	26	,	,	PUNCT
fumecheng-11851	193	27	=	=	NOUN
fumecheng-11851	193	28	1	1	NUM
fumecheng-11851	193	29	,	,	PUNCT
fumecheng-11851	193	30	,	,	PUNCT
fumecheng-11851	193	31	,	,	PUNCT
fumecheng-11851	193	32	3	3	NUM
fumecheng-11851	193	33	3	3	NUM
fumecheng-11851	193	34	3	3	NUM
fumecheng-11851	193	35	2	2	NUM
fumecheng-11851	193	36	2	2	NUM
fumecheng-11851	193	37	2	2	NUM
fumecheng-11851	193	38	en	en	ADP
fumecheng-11851	193	39	k	k	PROPN
fumecheng-11851	193	40	k	k	PROPN
fumecheng-11851	193	41	k	k	PROPN
fumecheng-11851	193	42	k	k	PROPN
fumecheng-11851	193	43	k	k	PROPN
fumecheng-11851	193	44	k	k	PROPN
fumecheng-11851	194	1	n	n	CCONJ
fumecheng-11851	195	1	k	k	PROPN
fumecheng-11851	195	2	k	k	PROPN
fumecheng-11851	196	1	k	k	PROPN
fumecheng-11851	196	2	k	k	PROPN
fumecheng-11851	196	3	k	k	PROPN
fumecheng-11851	196	4	k	k	PROPN
fumecheng-11851	196	5	k	k	PROPN
fumecheng-11851	196	6	t	t	PROPN
fumecheng-11851	196	7	t	t	PROPN
fumecheng-11851	196	8	t	t	PROPN
fumecheng-11851	196	9	k	k	PROPN
fumecheng-11851	197	1	k	k	PROPN
fumecheng-11851	198	1	k	k	PROPN
fumecheng-11851	199	1	k	k	PROPN
fumecheng-11851	199	2	k	k	PROPN
fumecheng-11851	199	3	x	x	PUNCT
fumecheng-11851	200	1	k	k	PROPN
fumecheng-11851	200	2	k	k	PROPN
fumecheng-11851	201	1	y	y	PROPN
fumecheng-11851	201	2	k	k	PROPN
fumecheng-11851	202	1	k	k	PROPN
fumecheng-11851	202	2	z	z	PROPN
fumecheng-11851	202	3	n	n	CCONJ
fumecheng-11851	202	4	n	n	CCONJ
fumecheng-11851	202	5	n	n	NOUN
fumecheng-11851	202	6	x	x	SYM
fumecheng-11851	202	7	y	y	NOUN
fumecheng-11851	202	8	z	z	NOUN
fumecheng-11851	202	9	x	x	SYM
fumecheng-11851	202	10	y	y	PROPN
fumecheng-11851	202	11	z	z	PROPN
fumecheng-11851	202	12	n	n	CCONJ
fumecheng-11851	202	13	n	n	CCONJ
fumecheng-11851	202	14	n	n	ADV
fumecheng-11851	202	15	j	j	NOUN
fumecheng-11851	202	16	x	x	SYM
fumecheng-11851	202	17	y	y	PROPN
fumecheng-11851	202	18	z	z	NOUN
fumecheng-11851	202	19	x	x	VERB
fumecheng-11851	202	20	y	y	NOUN
fumecheng-11851	202	21	z	z	NOUN
fumecheng-11851	202	22	x	x	SYM
fumecheng-11851	202	23	y	y	PROPN
fumecheng-11851	202	24	z	z	NOUN
fumecheng-11851	202	25	h	h	NOUN
fumecheng-11851	202	26	h	h	NOUN
fumecheng-11851	202	27	h	h	NOUN
fumecheng-11851	202	28	n	n	PROPN
fumecheng-11851	202	29	v	v	VERB
fumecheng-11851	202	30	n	n	CCONJ
fumecheng-11851	202	31	v	v	NOUN
fumecheng-11851	202	32	n	n	PRON
fumecheng-11851	202	33	v	v	NOUN
fumecheng-11851	202	34			NOUN
fumecheng-11851	202	35			NOUN
fumecheng-11851	202	36			NOUN
fumecheng-11851	202	37			NUM
fumecheng-11851	202	38			NUM
fumecheng-11851	202	39			PRON
fumecheng-11851	202	40			VERB
fumecheng-11851	202	41			VERB
fumecheng-11851	202	42			NOUN
fumecheng-11851	202	43			NUM
fumecheng-11851	202	44			NUM
fumecheng-11851	202	45			NUM
fumecheng-11851	202	46			ADJ
fumecheng-11851	202	47			PROPN
fumecheng-11851	202	48			NUM
fumecheng-11851	202	49			X
fumecheng-11851	202	50			PROPN
fumecheng-11851	202	51			PROPN
fumecheng-11851	202	52			ADJ
fumecheng-11851	202	53			ADJ
fumecheng-11851	202	54			X
fumecheng-11851	202	55			NOUN
fumecheng-11851	202	56			X
fumecheng-11851	202	57			PROPN
fumecheng-11851	202	58			X
fumecheng-11851	202	59			ADJ
fumecheng-11851	202	60			ADP
fumecheng-11851	202	61			NOUN
fumecheng-11851	202	62	=	=	SYM
fumecheng-11851	203	1	=	=	SYM
fumecheng-11851	203	2			NOUN
fumecheng-11851	203	3			NOUN
fumecheng-11851	203	4			NOUN
fumecheng-11851	203	5			PROPN
fumecheng-11851	203	6			PROPN
fumecheng-11851	203	7			ADP
fumecheng-11851	203	8			PROPN
fumecheng-11851	203	9			PROPN
fumecheng-11851	203	10			NOUN
fumecheng-11851	203	11			PROPN
fumecheng-11851	203	12			NOUN
fumecheng-11851	203	13			PROPN
fumecheng-11851	203	14			NOUN
fumecheng-11851	203	15			NOUN
fumecheng-11851	203	16			NOUN
fumecheng-11851	203	17			PROPN
fumecheng-11851	203	18			X
fumecheng-11851	203	19	(	(	PUNCT
fumecheng-11851	203	20	18	18	NUM
fumecheng-11851	203	21	)	)	PUNCT
fumecheng-11851	203	22			NOUN
fumecheng-11851	203	23			NOUN
fumecheng-11851	203	24	,	,	PUNCT
fumecheng-11851	203	25	,	,	PUNCT
fumecheng-11851	203	26	,	,	PUNCT
fumecheng-11851	203	27	1	1	NUM
fumecheng-11851	203	28	,	,	PUNCT
fumecheng-11851	203	29	,	,	PUNCT
fumecheng-11851	203	30	,	,	PUNCT
fumecheng-11851	203	31	,	,	PUNCT
fumecheng-11851	203	32	x	x	X
fumecheng-11851	203	33	,	,	PUNCT
fumecheng-11851	203	34	x	x	INTJ
fumecheng-11851	203	35	,	,	PUNCT
fumecheng-11851	203	36	x	x	INTJ
fumecheng-11851	203	37	,	,	PUNCT
fumecheng-11851	203	38	y	y	PROPN
fumecheng-11851	203	39	,	,	PUNCT
fumecheng-11851	203	40	y	y	PROPN
fumecheng-11851	203	41	,	,	PUNCT
fumecheng-11851	203	42	y	y	PROPN
fumecheng-11851	203	43	,	,	PUNCT
fumecheng-11851	203	44	z	z	NOUN
fumecheng-11851	203	45	,	,	PUNCT
fumecheng-11851	203	46	z	z	NOUN
fumecheng-11851	203	47	,	,	PUNCT
fumecheng-11851	203	48	z	z	PROPN
fumecheng-11851	203	49	,	,	PUNCT
fumecheng-11851	203	50	t	t	PROPN
fumecheng-11851	203	51	,	,	PUNCT
fumecheng-11851	203	52	t	t	PROPN
fumecheng-11851	203	53	,	,	PUNCT
fumecheng-11851	203	54	t	t	PROPN
fumecheng-11851	203	55	u	u	PROPN
fumecheng-11851	203	56	v	v	PROPN
fumecheng-11851	203	57	w	w	PROPN
fumecheng-11851	203	58	u	u	PROPN
fumecheng-11851	203	59	v	v	PROPN
fumecheng-11851	203	60	w	w	NOUN
fumecheng-11851	203	61	u	u	PROPN
fumecheng-11851	203	62	v	v	PROPN
fumecheng-11851	203	63	w	w	PROPN
fumecheng-11851	203	64	j	j	PROPN
fumecheng-11851	203	65	u	u	NOUN
fumecheng-11851	203	66	v	v	PROPN
fumecheng-11851	203	67	w	w	PROPN
fumecheng-11851	203	68	u	u	PROPN
fumecheng-11851	203	69	v	v	PROPN
fumecheng-11851	203	70	w	w	NOUN
fumecheng-11851	203	71	u	u	PROPN
fumecheng-11851	203	72	v	v	NOUN
fumecheng-11851	203	73	w	w	NOUN
fumecheng-11851	203	74			NOUN
fumecheng-11851	203	75			NOUN
fumecheng-11851	203	76			NOUN
fumecheng-11851	203	77			NUM
fumecheng-11851	203	78			NUM
fumecheng-11851	203	79			NUM
fumecheng-11851	203	80	−	−	PROPN
fumecheng-11851	203	81			PROPN
fumecheng-11851	203	82			INTJ
fumecheng-11851	203	83			PROPN
fumecheng-11851	203	84			ADJ
fumecheng-11851	203	85			NOUN
fumecheng-11851	203	86			PROPN
fumecheng-11851	203	87			NOUN
fumecheng-11851	203	88			NOUN
fumecheng-11851	203	89	=	=	SYM
fumecheng-11851	203	90			NOUN
fumecheng-11851	203	91			ADJ
fumecheng-11851	203	92			NOUN
fumecheng-11851	203	93			NOUN
fumecheng-11851	203	94			NOUN
fumecheng-11851	203	95			NOUN
fumecheng-11851	203	96			NOUN
fumecheng-11851	203	97			NOUN
fumecheng-11851	203	98			NOUN
fumecheng-11851	203	99			PROPN
fumecheng-11851	203	100			NOUN
fumecheng-11851	203	101			PROPN
fumecheng-11851	203	102	(	(	PUNCT
fumecheng-11851	203	103	19	19	NUM
fumecheng-11851	203	104	)	)	PUNCT
fumecheng-11851	203	105	upon	upon	SCONJ
fumecheng-11851	203	106	all	all	DET
fumecheng-11851	203	107	the	the	DET
fumecheng-11851	203	108	mentioned	mention	VERB
fumecheng-11851	203	109	transformations	transformation	NOUN
fumecheng-11851	203	110	,	,	PUNCT
fumecheng-11851	203	111	the	the	DET
fumecheng-11851	203	112	strain	strain	NOUN
fumecheng-11851	203	113	field	field	NOUN
fumecheng-11851	203	114	given	give	VERB
fumecheng-11851	203	115	in	in	ADP
fumecheng-11851	203	116	eq	eq	ADP
fumecheng-11851	203	117	.	.	PUNCT
fumecheng-11851	204	1	(	(	PUNCT
fumecheng-11851	204	2	16	16	NUM
fumecheng-11851	204	3	)	)	PUNCT
fumecheng-11851	204	4	has	have	VERB
fumecheng-11851	204	5	the	the	DET
fumecheng-11851	204	6	following	follow	VERB
fumecheng-11851	204	7	form	form	NOUN
fumecheng-11851	204	8	:	:	PUNCT
fumecheng-11851	204	9			PROPN
fumecheng-11851	205	1			PROPN
fumecheng-11851	205	2			PROPN
fumecheng-11851	205	3			PROPN
fumecheng-11851	205	4			PROPN
fumecheng-11851	205	5			PROPN
fumecheng-11851	205	6			PROPN
fumecheng-11851	205	7			PROPN
fumecheng-11851	205	8			PROPN
fumecheng-11851	205	9	0	0	VERB
fumecheng-11851	205	10	1	1	NUM
fumecheng-11851	205	11	mf	mf	NOUN
fumecheng-11851	205	12	tm	tm	PRON
fumecheng-11851	205	13	rf	rf	PROPN
fumecheng-11851	205	14	t	t	PROPN
fumecheng-11851	205	15	u	u	X
fumecheng-11851	205	16	s	s	NOUN
fumecheng-11851	205	17	ts	ts	ADP
fumecheng-11851	205	18	r	r	NOUN
fumecheng-11851	205	19	s	s	NOUN
fumecheng-11851	205	20	r	r	NOUN
fumecheng-11851	205	21	s	s	NOUN
fumecheng-11851	205	22	r	r	NOUN
fumecheng-11851	205	23	b	b	PROPN
fumecheng-11851	205	24	b	b	NOUN
fumecheng-11851	206	1	|	|	NOUN
fumecheng-11851	206	2	t	t	PROPN
fumecheng-11851	206	3	b	b	X
fumecheng-11851	206	4	u	u	NOUN
fumecheng-11851	206	5	'	'	PUNCT
fumecheng-11851	206	6	=	=	SYM
fumecheng-11851	206	7	b	b	SYM
fumecheng-11851	206	8	u	u	NOUN
fumecheng-11851	206	9	=	=	PROPN
fumecheng-11851	206	10	u	u	PROPN
fumecheng-11851	206	11	+	+	PROPN
fumecheng-11851	206	12	b	b	PROPN
fumecheng-11851	206	13	b	b	PROPN
fumecheng-11851	206	14	|	|	NOUN
fumecheng-11851	206	15	b	b	PROPN
fumecheng-11851	207	1	+	+	NOUN
fumecheng-11851	207	2	t	t	PROPN
fumecheng-11851	207	3	b	b	X
fumecheng-11851	207	4	u	u	PROPN
fumecheng-11851	207	5			PROPN
fumecheng-11851	208	1			PROPN
fumecheng-11851	208	2			X
fumecheng-11851	208	3			PROPN
fumecheng-11851	208	4			PROPN
fumecheng-11851	208	5			X
fumecheng-11851	208	6			PROPN
fumecheng-11851	208	7			ADJ
fumecheng-11851	208	8			NOUN
fumecheng-11851	208	9			ADP
fumecheng-11851	208	10			X
fumecheng-11851	208	11			PROPN
fumecheng-11851	208	12			PROPN
fumecheng-11851	208	13			VERB
fumecheng-11851	208	14			NOUN
fumecheng-11851	208	15			PROPN
fumecheng-11851	208	16			NOUN
fumecheng-11851	208	17			NOUN
fumecheng-11851	208	18			NUM
fumecheng-11851	208	19			PRON
fumecheng-11851	208	20			NOUN
fumecheng-11851	208	21			NOUN
fumecheng-11851	208	22			NOUN
fumecheng-11851	208	23	=	=	X
fumecheng-11851	208	24			NOUN
fumecheng-11851	208	25			PROPN
fumecheng-11851	208	26			NOUN
fumecheng-11851	208	27			PROPN
fumecheng-11851	208	28			NOUN
fumecheng-11851	208	29			NOUN
fumecheng-11851	208	30			NOUN
fumecheng-11851	208	31			NOUN
fumecheng-11851	208	32			NUM
fumecheng-11851	208	33			ADJ
fumecheng-11851	208	34			PUNCT
fumecheng-11851	208	35			PROPN
fumecheng-11851	208	36			ADJ
fumecheng-11851	208	37			PROPN
fumecheng-11851	208	38			ADJ
fumecheng-11851	208	39			PROPN
fumecheng-11851	208	40			PROPN
fumecheng-11851	208	41			PROPN
fumecheng-11851	208	42			VERB
fumecheng-11851	208	43			PROPN
fumecheng-11851	208	44			NOUN
fumecheng-11851	208	45			PROPN
fumecheng-11851	208	46			NOUN
fumecheng-11851	208	47			NOUN
fumecheng-11851	208	48			PROPN
fumecheng-11851	208	49			PROPN
fumecheng-11851	208	50			PROPN
fumecheng-11851	208	51			PROPN
fumecheng-11851	208	52			PROPN
fumecheng-11851	208	53			PROPN
fumecheng-11851	208	54			VERB
fumecheng-11851	208	55			PROPN
fumecheng-11851	208	56	(	(	PUNCT
fumecheng-11851	208	57	20	20	NUM
fumecheng-11851	208	58	)	)	PUNCT
fumecheng-11851	208	59	the	the	DET
fumecheng-11851	208	60	element	element	NOUN
fumecheng-11851	208	61	strain	strain	NOUN
fumecheng-11851	208	62	–	–	PUNCT
fumecheng-11851	208	63	displacement	displacement	NOUN
fumecheng-11851	208	64	matrix	matrix	NOUN
fumecheng-11851	208	65	,	,	PUNCT
fumecheng-11851	209	1	[	[	X
fumecheng-11851	209	2	bu	bu	X
fumecheng-11851	209	3	]	]	X
fumecheng-11851	209	4	consists	consist	VERB
fumecheng-11851	209	5	of	of	ADP
fumecheng-11851	209	6	the	the	DET
fumecheng-11851	209	7	membrane	membrane	NOUN
fumecheng-11851	209	8	-	-	PUNCT
fumecheng-11851	209	9	flexural	flexural	NOUN
fumecheng-11851	209	10	,	,	PUNCT
fumecheng-11851	209	11	[	[	X
fumecheng-11851	209	12	bmf	bmf	X
fumecheng-11851	209	13	]	]	PUNCT
fumecheng-11851	209	14	,	,	PUNCT
fumecheng-11851	209	15	and	and	CCONJ
fumecheng-11851	209	16	transverse	transverse	NOUN
fumecheng-11851	209	17	shear	shear	NOUN
fumecheng-11851	209	18	,	,	PUNCT
fumecheng-11851	209	19	[	[	X
fumecheng-11851	209	20	bs	bs	X
fumecheng-11851	209	21	]	]	X
fumecheng-11851	209	22	,	,	PUNCT
fumecheng-11851	209	23	strain	strain	NOUN
fumecheng-11851	209	24	–	–	PUNCT
fumecheng-11851	209	25	displacement	displacement	ADJ
fumecheng-11851	209	26	matrices	matrix	NOUN
fumecheng-11851	209	27	,	,	PUNCT
fumecheng-11851	209	28	which	which	PRON
fumecheng-11851	209	29	further	far	ADV
fumecheng-11851	209	30	involve	involve	VERB
fumecheng-11851	209	31	translations	translation	NOUN
fumecheng-11851	209	32	and	and	CCONJ
fumecheng-11851	209	33	rotations	rotation	NOUN
fumecheng-11851	209	34	related	relate	VERB
fumecheng-11851	209	35	parts	part	NOUN
fumecheng-11851	209	36	(	(	PUNCT
fumecheng-11851	209	37	denoted	denote	VERB
fumecheng-11851	209	38	by	by	ADP
fumecheng-11851	209	39	t	t	PROPN
fumecheng-11851	209	40	and	and	CCONJ
fumecheng-11851	209	41	r	r	NOUN
fumecheng-11851	209	42	in	in	ADP
fumecheng-11851	209	43	the	the	DET
fumecheng-11851	209	44	subscript	subscript	NOUN
fumecheng-11851	209	45	)	)	PUNCT
fumecheng-11851	209	46	.	.	PUNCT
fumecheng-11851	210	1	4	4	X
fumecheng-11851	210	2	.	.	X
fumecheng-11851	210	3	constitutive	constitutive	ADJ
fumecheng-11851	210	4	relations	relation	NOUN
fumecheng-11851	210	5	of	of	ADP
fumecheng-11851	210	6	piezolayers	piezolayer	NOUN
fumecheng-11851	210	7	the	the	DET
fumecheng-11851	210	8	form	form	NOUN
fumecheng-11851	210	9	of	of	ADP
fumecheng-11851	210	10	piezoelectric	piezoelectric	ADJ
fumecheng-11851	210	11	constitutive	constitutive	ADJ
fumecheng-11851	210	12	equations	equation	NOUN
fumecheng-11851	210	13	depends	depend	VERB
fumecheng-11851	210	14	on	on	ADP
fumecheng-11851	210	15	the	the	DET
fumecheng-11851	210	16	choice	choice	NOUN
fumecheng-11851	210	17	of	of	ADP
fumecheng-11851	210	18	independent	independent	ADJ
fumecheng-11851	210	19	variables	variable	NOUN
fumecheng-11851	210	20	.	.	PUNCT
fumecheng-11851	211	1	within	within	ADP
fumecheng-11851	211	2	the	the	DET
fumecheng-11851	211	3	framework	framework	NOUN
fumecheng-11851	211	4	of	of	ADP
fumecheng-11851	211	5	fem	fem	NOUN
fumecheng-11851	211	6	,	,	PUNCT
fumecheng-11851	211	7	the	the	DET
fumecheng-11851	211	8	strain	strain	NOUN
fumecheng-11851	211	9	and	and	CCONJ
fumecheng-11851	211	10	the	the	DET
fumecheng-11851	211	11	electric	electric	NOUN
fumecheng-11851	211	12	filed	file	VERB
fumecheng-11851	211	13	are	be	AUX
fumecheng-11851	211	14	the	the	DET
fumecheng-11851	211	15	usual	usual	ADJ
fumecheng-11851	211	16	choice	choice	NOUN
fumecheng-11851	211	17	,	,	PUNCT
fumecheng-11851	211	18	thus	thus	ADV
fumecheng-11851	211	19	yielding	yield	VERB
fumecheng-11851	211	20	the	the	DET
fumecheng-11851	211	21	matrix	matrix	NOUN
fumecheng-11851	211	22	form	form	NOUN
fumecheng-11851	211	23	of	of	ADP
fumecheng-11851	211	24	piezoelectric	piezoelectric	ADJ
fumecheng-11851	211	25	constitutive	constitutive	ADJ
fumecheng-11851	211	26	equations	equation	NOUN
fumecheng-11851	211	27	:	:	PUNCT
fumecheng-11851	211	28			PROPN
fumecheng-11851	211	29			PROPN
fumecheng-11851	211	30			PROPN
fumecheng-11851	211	31			PROPN
fumecheng-11851	211	32			NOUN
fumecheng-11851	211	33			ADP
fumecheng-11851	211	34			PROPN
fumecheng-11851	211	35			PROPN
fumecheng-11851	211	36			PROPN
fumecheng-11851	211	37			X
fumecheng-11851	211	38			ADJ
fumecheng-11851	211	39			NOUN
fumecheng-11851	211	40			PROPN
fumecheng-11851	211	41			PROPN
fumecheng-11851	211	42			PROPN
fumecheng-11851	211	43	t	t	NOUN
fumecheng-11851	211	44	e	e	X
fumecheng-11851	211	45	e	e	X
fumecheng-11851	211	46	=	=	SYM
fumecheng-11851	211	47	c	c	NOUN
fumecheng-11851	211	48	e	e	X
fumecheng-11851	211	49	e	e	X
fumecheng-11851	211	50	d	d	X
fumecheng-11851	211	51	=	=	SYM
fumecheng-11851	211	52	e	e	X
fumecheng-11851	211	53	d	d	X
fumecheng-11851	211	54	e	e	X
fumecheng-11851	211	55			PROPN
fumecheng-11851	211	56			PROPN
fumecheng-11851	211	57			PROPN
fumecheng-11851	211	58			PROPN
fumecheng-11851	211	59			NOUN
fumecheng-11851	211	60			PROPN
fumecheng-11851	211	61			PROPN
fumecheng-11851	211	62			PROPN
fumecheng-11851	211	63			NOUN
fumecheng-11851	211	64			PROPN
fumecheng-11851	211	65			PROPN
fumecheng-11851	211	66	(	(	PUNCT
fumecheng-11851	211	67	21	21	NUM
fumecheng-11851	211	68	)	)	PUNCT
fumecheng-11851	211	69	geometrically	geometrically	ADV
fumecheng-11851	211	70	nonlinear	nonlinear	VERB
fumecheng-11851	211	71	analysis	analysis	NOUN
fumecheng-11851	211	72	of	of	ADP
fumecheng-11851	211	73	piezoelectric	piezoelectric	ADJ
fumecheng-11851	211	74	active	active	ADJ
fumecheng-11851	211	75	laminated	laminate	VERB
fumecheng-11851	211	76	shells	shell	NOUN
fumecheng-11851	211	77	by	by	ADP
fumecheng-11851	211	78	means	mean	NOUN
fumecheng-11851	211	79	of	of	ADP
fumecheng-11851	211	80	isogeometric	isogeometric	NOUN
fumecheng-11851	211	81	...	...	PUNCT
fumecheng-11851	211	82	395	395	NUM
fumecheng-11851	211	83	here	here	ADV
fumecheng-11851	211	84	{	{	PUNCT
fumecheng-11851	211	85	σ	σ	NOUN
fumecheng-11851	211	86	}	}	PUNCT
fumecheng-11851	211	87	and	and	CCONJ
fumecheng-11851	211	88	{	{	PUNCT
fumecheng-11851	211	89	ε	ε	PROPN
fumecheng-11851	211	90	}	}	PUNCT
fumecheng-11851	211	91	are	be	AUX
fumecheng-11851	211	92	the	the	DET
fumecheng-11851	211	93	mechanical	mechanical	ADJ
fumecheng-11851	211	94	stress	stress	NOUN
fumecheng-11851	211	95	and	and	CCONJ
fumecheng-11851	211	96	strain	strain	NOUN
fumecheng-11851	211	97	in	in	ADP
fumecheng-11851	211	98	the	the	DET
fumecheng-11851	211	99	voigt	voigt	PROPN
fumecheng-11851	211	100	notation	notation	NOUN
fumecheng-11851	211	101	,	,	PUNCT
fumecheng-11851	211	102	respectively	respectively	ADV
fumecheng-11851	211	103	,	,	PUNCT
fumecheng-11851	211	104	[	[	X
fumecheng-11851	211	105	ce	ce	X
fumecheng-11851	211	106	]	]	X
fumecheng-11851	211	107	is	be	AUX
fumecheng-11851	211	108	the	the	DET
fumecheng-11851	211	109	symmetric	symmetric	ADJ
fumecheng-11851	211	110	material	material	NOUN
fumecheng-11851	211	111	constitutive	constitutive	NOUN
fumecheng-11851	211	112	(	(	PUNCT
fumecheng-11851	211	113	hook	hook	NOUN
fumecheng-11851	211	114	’s	’s	PART
fumecheng-11851	211	115	)	)	PUNCT
fumecheng-11851	211	116	matrix	matrix	NOUN
fumecheng-11851	211	117	,	,	PUNCT
fumecheng-11851	211	118	{	{	PUNCT
fumecheng-11851	211	119	d	d	NOUN
fumecheng-11851	211	120	}	}	PUNCT
fumecheng-11851	211	121	and	and	CCONJ
fumecheng-11851	211	122	{	{	PUNCT
fumecheng-11851	211	123	e	e	NOUN
fumecheng-11851	211	124	}	}	PUNCT
fumecheng-11851	211	125	are	be	AUX
fumecheng-11851	211	126	the	the	DET
fumecheng-11851	211	127	dielectric	dielectric	ADJ
fumecheng-11851	211	128	displacement	displacement	NOUN
fumecheng-11851	211	129	and	and	CCONJ
fumecheng-11851	211	130	the	the	DET
fumecheng-11851	211	131	electric	electric	ADJ
fumecheng-11851	211	132	field	field	NOUN
fumecheng-11851	211	133	vector	vector	NOUN
fumecheng-11851	211	134	,	,	PUNCT
fumecheng-11851	211	135	respectively	respectively	ADV
fumecheng-11851	211	136	,	,	PUNCT
fumecheng-11851	211	137	[	[	X
fumecheng-11851	211	138	e	e	X
fumecheng-11851	211	139	]	]	X
fumecheng-11851	211	140	is	be	AUX
fumecheng-11851	211	141	the	the	DET
fumecheng-11851	211	142	piezoelectric	piezoelectric	ADJ
fumecheng-11851	211	143	coupling	couple	VERB
fumecheng-11851	211	144	matrix	matrix	NOUN
fumecheng-11851	211	145	,	,	PUNCT
fumecheng-11851	211	146	and	and	CCONJ
fumecheng-11851	211	147	[	[	X
fumecheng-11851	211	148	dε	dε	X
fumecheng-11851	211	149	]	]	X
fumecheng-11851	211	150	is	be	AUX
fumecheng-11851	211	151	the	the	DET
fumecheng-11851	211	152	vector	vector	NOUN
fumecheng-11851	211	153	of	of	ADP
fumecheng-11851	211	154	dielectric	dielectric	ADJ
fumecheng-11851	211	155	constants	constant	NOUN
fumecheng-11851	211	156	.	.	PUNCT
fumecheng-11851	212	1	for	for	ADP
fumecheng-11851	212	2	quite	quite	ADV
fumecheng-11851	212	3	thin	thin	ADJ
fumecheng-11851	212	4	piezopatches	piezopatche	NOUN
fumecheng-11851	212	5	,	,	PUNCT
fumecheng-11851	212	6	it	it	PRON
fumecheng-11851	212	7	has	have	AUX
fumecheng-11851	212	8	been	be	AUX
fumecheng-11851	212	9	shown	show	VERB
fumecheng-11851	212	10	that	that	SCONJ
fumecheng-11851	212	11	the	the	DET
fumecheng-11851	212	12	electric	electric	ADJ
fumecheng-11851	212	13	field	field	NOUN
fumecheng-11851	212	14	may	may	AUX
fumecheng-11851	212	15	be	be	AUX
fumecheng-11851	212	16	assumed	assume	VERB
fumecheng-11851	212	17	to	to	PART
fumecheng-11851	212	18	be	be	AUX
fumecheng-11851	212	19	constant	constant	ADJ
fumecheng-11851	212	20	over	over	ADP
fumecheng-11851	212	21	the	the	DET
fumecheng-11851	212	22	thickness	thickness	NOUN
fumecheng-11851	212	23	of	of	ADP
fumecheng-11851	212	24	the	the	DET
fumecheng-11851	212	25	piezolayers	piezolayer	NOUN
fumecheng-11851	212	26	[	[	X
fumecheng-11851	212	27	32	32	NUM
fumecheng-11851	212	28	]	]	PUNCT
fumecheng-11851	212	29	.	.	PUNCT
fumecheng-11851	213	1	hence	hence	ADV
fumecheng-11851	213	2	,	,	PUNCT
fumecheng-11851	213	3	for	for	ADP
fumecheng-11851	213	4	the	the	DET
fumecheng-11851	213	5	kth	kth	PROPN
fumecheng-11851	213	6	piezolayer	piezolayer	PROPN
fumecheng-11851	213	7	:	:	PUNCT
fumecheng-11851	213	8	k	k	PROPN
fumecheng-11851	213	9	k	k	PROPN
fumecheng-11851	213	10	k	k	PROPN
fumecheng-11851	213	11	e	e	PROPN
fumecheng-11851	213	12	h	h	NOUN
fumecheng-11851	213	13			PUNCT
fumecheng-11851	213	14	=	=	PUNCT
fumecheng-11851	213	15	(	(	PUNCT
fumecheng-11851	213	16	22	22	NUM
fumecheng-11851	213	17	)	)	PUNCT
fumecheng-11851	213	18	where	where	SCONJ
fumecheng-11851	213	19	k	k	NOUN
fumecheng-11851	213	20	is	be	AUX
fumecheng-11851	213	21	the	the	DET
fumecheng-11851	213	22	difference	difference	NOUN
fumecheng-11851	213	23	of	of	ADP
fumecheng-11851	213	24	electric	electric	ADJ
fumecheng-11851	213	25	potentials	potential	NOUN
fumecheng-11851	213	26	between	between	ADP
fumecheng-11851	213	27	the	the	DET
fumecheng-11851	213	28	electrodes	electrode	NOUN
fumecheng-11851	213	29	of	of	ADP
fumecheng-11851	213	30	the	the	DET
fumecheng-11851	213	31	kth	kth	PROPN
fumecheng-11851	213	32	piezolayer	piezolayer	NOUN
fumecheng-11851	213	33	and	and	CCONJ
fumecheng-11851	213	34	hk	hk	PROPN
fumecheng-11851	213	35	is	be	AUX
fumecheng-11851	213	36	the	the	DET
fumecheng-11851	213	37	thickness	thickness	NOUN
fumecheng-11851	213	38	of	of	ADP
fumecheng-11851	213	39	the	the	DET
fumecheng-11851	213	40	piezolayer	piezolayer	NOUN
fumecheng-11851	213	41	.	.	PUNCT
fumecheng-11851	214	1	the	the	DET
fumecheng-11851	214	2	resulting	result	VERB
fumecheng-11851	214	3	electric	electric	ADJ
fumecheng-11851	214	4	field	field	NOUN
fumecheng-11851	214	5	–	–	PUNCT
fumecheng-11851	214	6	electric	electric	ADJ
fumecheng-11851	214	7	potential	potential	ADJ
fumecheng-11851	214	8	matrix	matrix	NOUN
fumecheng-11851	214	9	has	have	VERB
fumecheng-11851	214	10	a	a	DET
fumecheng-11851	214	11	quite	quite	ADV
fumecheng-11851	214	12	simple	simple	ADJ
fumecheng-11851	214	13	,	,	PUNCT
fumecheng-11851	214	14	diagonal	diagonal	ADJ
fumecheng-11851	214	15	form	form	NOUN
fumecheng-11851	214	16	:	:	PUNCT
fumecheng-11851	214	17	1	1	NUM
fumecheng-11851	214	18	k	k	X
fumecheng-11851	214	19	b	b	NOUN
fumecheng-11851	214	20	h	h	NOUN
fumecheng-11851	214	21			NOUN
fumecheng-11851	214	22			PROPN
fumecheng-11851	214	23			ADJ
fumecheng-11851	214	24			NOUN
fumecheng-11851	214	25			PROPN
fumecheng-11851	214	26			NOUN
fumecheng-11851	214	27	=	=	X
fumecheng-11851	214	28			NOUN
fumecheng-11851	214	29			NOUN
fumecheng-11851	214	30			NOUN
fumecheng-11851	214	31			NOUN
fumecheng-11851	214	32			NOUN
fumecheng-11851	214	33			PROPN
fumecheng-11851	214	34			PROPN
fumecheng-11851	214	35	(	(	PUNCT
fumecheng-11851	214	36	23	23	NUM
fumecheng-11851	214	37	)	)	PUNCT
fumecheng-11851	214	38	5	5	NUM
fumecheng-11851	214	39	.	.	PUNCT
fumecheng-11851	214	40	geometrically	geometrically	ADV
fumecheng-11851	214	41	nonlinear	nonlinear	VERB
fumecheng-11851	214	42	finite	finite	PROPN
fumecheng-11851	214	43	element	element	NOUN
fumecheng-11851	214	44	analysis	analysis	NOUN
fumecheng-11851	214	45	linear	linear	ADJ
fumecheng-11851	214	46	structural	structural	ADJ
fumecheng-11851	214	47	analysis	analysis	NOUN
fumecheng-11851	214	48	resides	reside	VERB
fumecheng-11851	214	49	on	on	ADP
fumecheng-11851	214	50	the	the	DET
fumecheng-11851	214	51	assumption	assumption	NOUN
fumecheng-11851	214	52	that	that	SCONJ
fumecheng-11851	214	53	the	the	DET
fumecheng-11851	214	54	displacements	displacement	NOUN
fumecheng-11851	214	55	are	be	AUX
fumecheng-11851	214	56	relatively	relatively	ADV
fumecheng-11851	214	57	small	small	ADJ
fumecheng-11851	214	58	compared	compare	VERB
fumecheng-11851	214	59	to	to	ADP
fumecheng-11851	214	60	the	the	DET
fumecheng-11851	214	61	dimensions	dimension	NOUN
fumecheng-11851	214	62	of	of	ADP
fumecheng-11851	214	63	the	the	DET
fumecheng-11851	214	64	modeled	model	VERB
fumecheng-11851	214	65	structure	structure	NOUN
fumecheng-11851	214	66	,	,	PUNCT
fumecheng-11851	214	67	while	while	SCONJ
fumecheng-11851	214	68	the	the	DET
fumecheng-11851	214	69	material	material	NOUN
fumecheng-11851	214	70	behavior	behavior	NOUN
fumecheng-11851	214	71	is	be	AUX
fumecheng-11851	214	72	also	also	ADV
fumecheng-11851	214	73	linear	linear	ADJ
fumecheng-11851	214	74	.	.	PUNCT
fumecheng-11851	215	1	also	also	ADV
fumecheng-11851	215	2	,	,	PUNCT
fumecheng-11851	215	3	the	the	DET
fumecheng-11851	215	4	boundary	boundary	ADJ
fumecheng-11851	215	5	conditions	condition	NOUN
fumecheng-11851	215	6	must	must	AUX
fumecheng-11851	215	7	remain	remain	VERB
fumecheng-11851	215	8	unchanged	unchanged	ADJ
fumecheng-11851	215	9	over	over	ADP
fumecheng-11851	215	10	the	the	DET
fumecheng-11851	215	11	course	course	NOUN
fumecheng-11851	215	12	of	of	ADP
fumecheng-11851	215	13	deformation	deformation	NOUN
fumecheng-11851	215	14	.	.	PUNCT
fumecheng-11851	216	1	on	on	ADP
fumecheng-11851	216	2	the	the	DET
fumecheng-11851	216	3	other	other	ADJ
fumecheng-11851	216	4	hand	hand	NOUN
fumecheng-11851	216	5	,	,	PUNCT
fumecheng-11851	216	6	geometrically	geometrically	ADV
fumecheng-11851	216	7	nonlinear	nonlinear	VERB
fumecheng-11851	216	8	analysis	analysis	NOUN
fumecheng-11851	216	9	takes	take	VERB
fumecheng-11851	216	10	into	into	ADP
fumecheng-11851	216	11	account	account	NOUN
fumecheng-11851	216	12	the	the	DET
fumecheng-11851	216	13	change	change	NOUN
fumecheng-11851	216	14	in	in	ADP
fumecheng-11851	216	15	structural	structural	ADJ
fumecheng-11851	216	16	configuration	configuration	NOUN
fumecheng-11851	216	17	during	during	ADP
fumecheng-11851	216	18	the	the	DET
fumecheng-11851	216	19	deformation	deformation	NOUN
fumecheng-11851	216	20	.	.	PUNCT
fumecheng-11851	217	1	deformation	deformation	NOUN
fumecheng-11851	217	2	of	of	ADP
fumecheng-11851	217	3	the	the	DET
fumecheng-11851	217	4	structure	structure	NOUN
fumecheng-11851	217	5	leads	lead	VERB
fumecheng-11851	217	6	to	to	ADP
fumecheng-11851	217	7	a	a	DET
fumecheng-11851	217	8	change	change	NOUN
fumecheng-11851	217	9	in	in	ADP
fumecheng-11851	217	10	structural	structural	ADJ
fumecheng-11851	217	11	parameters	parameter	NOUN
fumecheng-11851	217	12	.	.	PUNCT
fumecheng-11851	218	1	considering	consider	VERB
fumecheng-11851	218	2	the	the	DET
fumecheng-11851	218	3	fact	fact	NOUN
fumecheng-11851	218	4	that	that	SCONJ
fumecheng-11851	218	5	that	that	SCONJ
fumecheng-11851	218	6	the	the	DET
fumecheng-11851	218	7	structural	structural	ADJ
fumecheng-11851	218	8	deformation	deformation	NOUN
fumecheng-11851	218	9	progresses	progress	NOUN
fumecheng-11851	218	10	continuously	continuously	ADV
fumecheng-11851	218	11	,	,	PUNCT
fumecheng-11851	218	12	the	the	DET
fumecheng-11851	218	13	structural	structural	ADJ
fumecheng-11851	218	14	parameters	parameter	NOUN
fumecheng-11851	218	15	also	also	ADV
fumecheng-11851	218	16	change	change	VERB
fumecheng-11851	218	17	are	be	AUX
fumecheng-11851	218	18	continuously	continuously	ADV
fumecheng-11851	218	19	.	.	PUNCT
fumecheng-11851	219	1	in	in	ADP
fumecheng-11851	219	2	each	each	DET
fumecheng-11851	219	3	structural	structural	ADJ
fumecheng-11851	219	4	configuration	configuration	NOUN
fumecheng-11851	219	5	,	,	PUNCT
fumecheng-11851	219	6	it	it	PRON
fumecheng-11851	219	7	is	be	AUX
fumecheng-11851	219	8	necessary	necessary	ADJ
fumecheng-11851	219	9	to	to	PART
fumecheng-11851	219	10	establish	establish	VERB
fumecheng-11851	219	11	the	the	DET
fumecheng-11851	219	12	equilibrium	equilibrium	NOUN
fumecheng-11851	219	13	between	between	ADP
fumecheng-11851	219	14	the	the	DET
fumecheng-11851	219	15	generalized	generalized	ADJ
fumecheng-11851	219	16	internal	internal	ADJ
fumecheng-11851	219	17	and	and	CCONJ
fumecheng-11851	219	18	external	external	ADJ
fumecheng-11851	219	19	forces	force	NOUN
fumecheng-11851	219	20	.	.	PUNCT
fumecheng-11851	220	1	the	the	DET
fumecheng-11851	220	2	solution	solution	NOUN
fumecheng-11851	220	3	of	of	ADP
fumecheng-11851	220	4	a	a	DET
fumecheng-11851	220	5	nonlinear	nonlinear	ADJ
fumecheng-11851	220	6	analysis	analysis	NOUN
fumecheng-11851	220	7	is	be	AUX
fumecheng-11851	220	8	sought	seek	VERB
fumecheng-11851	220	9	in	in	ADP
fumecheng-11851	220	10	a	a	DET
fumecheng-11851	220	11	step	step	NOUN
fumecheng-11851	220	12	-	-	PUNCT
fumecheng-11851	220	13	by	by	ADP
fumecheng-11851	220	14	-	-	PUNCT
fumecheng-11851	220	15	step	step	NOUN
fumecheng-11851	220	16	approach	approach	NOUN
fumecheng-11851	220	17	.	.	PUNCT
fumecheng-11851	221	1	if	if	SCONJ
fumecheng-11851	221	2	the	the	DET
fumecheng-11851	221	3	equilibrium	equilibrium	NOUN
fumecheng-11851	221	4	of	of	ADP
fumecheng-11851	221	5	the	the	DET
fumecheng-11851	221	6	system	system	NOUN
fumecheng-11851	221	7	at	at	ADP
fumecheng-11851	221	8	time	time	NOUN
fumecheng-11851	221	9	t	t	PROPN
fumecheng-11851	221	10	is	be	AUX
fumecheng-11851	221	11	known	know	VERB
fumecheng-11851	221	12	,	,	PUNCT
fumecheng-11851	221	13	a	a	DET
fumecheng-11851	221	14	solution	solution	NOUN
fumecheng-11851	221	15	at	at	ADP
fumecheng-11851	221	16	time	time	NOUN
fumecheng-11851	221	17	t+t	t+t	NOUN
fumecheng-11851	221	18	is	be	AUX
fumecheng-11851	221	19	sought	seek	VERB
fumecheng-11851	221	20	with	with	ADP
fumecheng-11851	221	21	a	a	DET
fumecheng-11851	221	22	suitably	suitably	ADV
fumecheng-11851	221	23	chosen	choose	VERB
fumecheng-11851	221	24	time	time	NOUN
fumecheng-11851	221	25	step	step	NOUN
fumecheng-11851	221	26	t	t	NOUN
fumecheng-11851	221	27	.	.	PUNCT
fumecheng-11851	222	1	even	even	ADV
fumecheng-11851	222	2	in	in	ADP
fumecheng-11851	222	3	a	a	DET
fumecheng-11851	222	4	static	static	ADJ
fumecheng-11851	222	5	analysis	analysis	NOUN
fumecheng-11851	222	6	,	,	PUNCT
fumecheng-11851	222	7	a	a	DET
fumecheng-11851	222	8	label	label	NOUN
fumecheng-11851	222	9	t	t	NOUN
fumecheng-11851	222	10	is	be	AUX
fumecheng-11851	222	11	established	establish	VERB
fumecheng-11851	222	12	as	as	ADP
fumecheng-11851	222	13	an	an	DET
fumecheng-11851	222	14	auxiliary	auxiliary	ADJ
fumecheng-11851	222	15	variable	variable	NOUN
fumecheng-11851	222	16	that	that	PRON
fumecheng-11851	222	17	indicates	indicate	VERB
fumecheng-11851	222	18	the	the	DET
fumecheng-11851	222	19	progress	progress	NOUN
fumecheng-11851	222	20	of	of	ADP
fumecheng-11851	222	21	the	the	DET
fumecheng-11851	222	22	load	load	NOUN
fumecheng-11851	222	23	level	level	NOUN
fumecheng-11851	222	24	.	.	PUNCT
fumecheng-11851	223	1	a	a	DET
fumecheng-11851	223	2	set	set	NOUN
fumecheng-11851	223	3	of	of	ADP
fumecheng-11851	223	4	linearized	linearize	VERB
fumecheng-11851	223	5	fe	fe	NOUN
fumecheng-11851	223	6	equations	equation	NOUN
fumecheng-11851	223	7	for	for	ADP
fumecheng-11851	223	8	the	the	DET
fumecheng-11851	223	9	piezoelectric	piezoelectric	ADJ
fumecheng-11851	223	10	continuum	continuum	NOUN
fumecheng-11851	223	11	are	be	AUX
fumecheng-11851	223	12	given	give	VERB
fumecheng-11851	223	13	on	on	ADP
fumecheng-11851	223	14	the	the	DET
fumecheng-11851	223	15	element	element	ADJ
fumecheng-11851	223	16	level	level	NOUN
fumecheng-11851	223	17	as	as	SCONJ
fumecheng-11851	223	18	follows	follow	VERB
fumecheng-11851	223	19	:	:	PUNCT
fumecheng-11851	223	20			PROPN
fumecheng-11851	223	21			PROPN
fumecheng-11851	223	22			PROPN
fumecheng-11851	223	23			PROPN
fumecheng-11851	223	24			PROPN
fumecheng-11851	223	25			PROPN
fumecheng-11851	223	26			PROPN
fumecheng-11851	223	27			PROPN
fumecheng-11851	223	28			PROPN
fumecheng-11851	223	29			PROPN
fumecheng-11851	223	30			PROPN
fumecheng-11851	223	31			PROPN
fumecheng-11851	223	32			PROPN
fumecheng-11851	223	33			PROPN
fumecheng-11851	223	34			PROPN
fumecheng-11851	223	35			PROPN
fumecheng-11851	223	36	t	t	NOUN
fumecheng-11851	223	37	e	e	X
fumecheng-11851	223	38	e	e	X
fumecheng-11851	223	39	e	e	X
fumecheng-11851	223	40	e	e	PROPN
fumecheng-11851	223	41	t	t	PROPN
fumecheng-11851	223	42	t	t	PROPN
fumecheng-11851	223	43	t	t	X
fumecheng-11851	223	44	tt	tt	PROPN
fumecheng-11851	223	45	tt	tt	PROPN
fumecheng-11851	223	46	euu	euu	VERB
fumecheng-11851	223	47	e	e	PUNCT
fumecheng-11851	223	48	u	u	PROPN
fumecheng-11851	223	49	ext	ext	VERB
fumecheng-11851	223	50	int	int	PROPN
fumecheng-11851	223	51	t	t	PROPN
fumecheng-11851	223	52	t	t	PROPN
fumecheng-11851	223	53	t	t	X
fumecheng-11851	223	54	tt	tt	PROPN
fumecheng-11851	223	55	tt	tt	PROPN
fumecheng-11851	223	56	eu	eu	PROPN
fumecheng-11851	223	57	e	e	PROPN
fumecheng-11851	223	58	ext	ext	VERB
fumecheng-11851	223	59	int	int	NOUN
fumecheng-11851	224	1	k	k	PROPN
fumecheng-11851	224	2	u	u	PROPN
fumecheng-11851	225	1	k	k	PROPN
fumecheng-11851	225	2	f	f	PROPN
fumecheng-11851	225	3	f	f	PROPN
fumecheng-11851	225	4	k	k	PROPN
fumecheng-11851	225	5	u	u	PROPN
fumecheng-11851	225	6	k	k	X
fumecheng-11851	225	7	q	q	X
fumecheng-11851	225	8	q	q	PUNCT
fumecheng-11851	225	9			NOUN
fumecheng-11851	225	10			NOUN
fumecheng-11851	225	11			NOUN
fumecheng-11851	225	12			NOUN
fumecheng-11851	225	13			PUNCT
fumecheng-11851	226	1	+	+	NOUN
fumecheng-11851	226	2			X
fumecheng-11851	226	3	+	+	NOUN
fumecheng-11851	226	4			NOUN
fumecheng-11851	226	5			PROPN
fumecheng-11851	226	6			ADJ
fumecheng-11851	226	7			PROPN
fumecheng-11851	226	8			PROPN
fumecheng-11851	227	1	+	+	PROPN
fumecheng-11851	227	2			NOUN
fumecheng-11851	227	3	=	=	SYM
fumecheng-11851	227	4	−	−	ADJ
fumecheng-11851	227	5			PROPN
fumecheng-11851	227	6			PROPN
fumecheng-11851	227	7			PROPN
fumecheng-11851	227	8			ADJ
fumecheng-11851	227	9			PROPN
fumecheng-11851	227	10			PROPN
fumecheng-11851	227	11	+	+	PROPN
fumecheng-11851	227	12			NOUN
fumecheng-11851	227	13	=	=	SYM
fumecheng-11851	227	14	−	−	PROPN
fumecheng-11851	227	15			PROPN
fumecheng-11851	227	16			VERB
fumecheng-11851	227	17			PROPN
fumecheng-11851	227	18	(	(	PUNCT
fumecheng-11851	227	19	24	24	NUM
fumecheng-11851	227	20	)	)	PUNCT
fumecheng-11851	227	21	here	here	ADV
fumecheng-11851	227	22	,	,	PUNCT
fumecheng-11851	227	23	{	{	PUNCT
fumecheng-11851	227	24	fexte	fexte	ADJ
fumecheng-11851	227	25	}	}	PUNCT
fumecheng-11851	227	26	,	,	PUNCT
fumecheng-11851	227	27	{	{	PUNCT
fumecheng-11851	227	28	finte	finte	NOUN
fumecheng-11851	227	29	}	}	PUNCT
fumecheng-11851	227	30	,	,	PUNCT
fumecheng-11851	227	31	{	{	PUNCT
fumecheng-11851	227	32	qexte}and	qexte}and	NOUN
fumecheng-11851	227	33	{	{	PUNCT
fumecheng-11851	227	34	qinte	qinte	NOUN
fumecheng-11851	227	35	}	}	PUNCT
fumecheng-11851	227	36	are	be	AUX
fumecheng-11851	227	37	the	the	DET
fumecheng-11851	227	38	external	external	ADJ
fumecheng-11851	227	39	and	and	CCONJ
fumecheng-11851	227	40	internal	internal	ADJ
fumecheng-11851	227	41	mechanical	mechanical	ADJ
fumecheng-11851	227	42	and	and	CCONJ
fumecheng-11851	227	43	electrical	electrical	ADJ
fumecheng-11851	227	44	loads	load	NOUN
fumecheng-11851	227	45	,	,	PUNCT
fumecheng-11851	228	1	[	[	X
fumecheng-11851	228	2	kuut	kuut	NOUN
fumecheng-11851	228	3	]	]	X
fumecheng-11851	228	4	,	,	PUNCT
fumecheng-11851	228	5	[	[	X
fumecheng-11851	228	6	ku	ku	X
fumecheng-11851	228	7	]	]	X
fumecheng-11851	228	8	and	and	CCONJ
fumecheng-11851	228	9	[	[	X
fumecheng-11851	228	10	k	k	X
fumecheng-11851	228	11	]	]	X
fumecheng-11851	228	12	are	be	AUX
fumecheng-11851	228	13	the	the	DET
fumecheng-11851	228	14	tangential	tangential	ADJ
fumecheng-11851	228	15	mechanical	mechanical	ADJ
fumecheng-11851	228	16	stiffness	stiffness	NOUN
fumecheng-11851	228	17	,	,	PUNCT
fumecheng-11851	228	18	piezoelectric	piezoelectric	NOUN
fumecheng-11851	228	19	coupling	coupling	NOUN
fumecheng-11851	228	20	and	and	CCONJ
fumecheng-11851	228	21	dielectric	dielectric	ADJ
fumecheng-11851	228	22	stiffness	stiffness	ADJ
fumecheng-11851	228	23	matrices	matrix	NOUN
fumecheng-11851	228	24	,	,	PUNCT
fumecheng-11851	228	25	respectively	respectively	ADV
fumecheng-11851	228	26	,	,	PUNCT
fumecheng-11851	228	27	while	while	SCONJ
fumecheng-11851	228	28	the	the	DET
fumecheng-11851	228	29	vectors	vector	NOUN
fumecheng-11851	228	30	{	{	PUNCT
fumecheng-11851	228	31	ue	ue	INTJ
fumecheng-11851	228	32	}	}	PUNCT
fumecheng-11851	228	33	and	and	CCONJ
fumecheng-11851	228	34	{	{	PUNCT
fumecheng-11851	228	35	e	e	VERB
fumecheng-11851	228	36	}	}	PUNCT
fumecheng-11851	228	37	include	include	VERB
fumecheng-11851	228	38	the	the	DET
fumecheng-11851	228	39	mechanical	mechanical	ADJ
fumecheng-11851	228	40	and	and	CCONJ
fumecheng-11851	228	41	electrical	electrical	ADJ
fumecheng-11851	228	42	degrees	degree	NOUN
fumecheng-11851	228	43	of	of	ADP
fumecheng-11851	228	44	freedom	freedom	NOUN
fumecheng-11851	228	45	of	of	ADP
fumecheng-11851	228	46	the	the	DET
fumecheng-11851	228	47	element	element	NOUN
fumecheng-11851	228	48	,	,	PUNCT
fumecheng-11851	228	49	respectively	respectively	ADV
fumecheng-11851	228	50	.	.	PUNCT
fumecheng-11851	229	1	all	all	DET
fumecheng-11851	229	2	the	the	DET
fumecheng-11851	229	3	terms	term	NOUN
fumecheng-11851	229	4	are	be	AUX
fumecheng-11851	229	5	defined	define	VERB
fumecheng-11851	229	6	for	for	ADP
fumecheng-11851	229	7	time	time	NOUN
fumecheng-11851	229	8	t	t	PROPN
fumecheng-11851	229	9	,	,	PUNCT
fumecheng-11851	229	10	which	which	PRON
fumecheng-11851	229	11	is	be	AUX
fumecheng-11851	229	12	denoted	denote	VERB
fumecheng-11851	229	13	by	by	ADP
fumecheng-11851	229	14	the	the	DET
fumecheng-11851	229	15	left	left	ADJ
fumecheng-11851	229	16	superscript	superscript	PROPN
fumecheng-11851	229	17	,	,	PUNCT
fumecheng-11851	229	18	and	and	CCONJ
fumecheng-11851	229	19			NOUN
fumecheng-11851	229	20	is	be	AUX
fumecheng-11851	229	21	used	use	VERB
fumecheng-11851	229	22	to	to	PART
fumecheng-11851	229	23	denote	denote	VERB
fumecheng-11851	229	24	the	the	DET
fumecheng-11851	229	25	396	396	NUM
fumecheng-11851	229	26	p.	p.	NOUN
fumecheng-11851	229	27	milić	milić	NOUN
fumecheng-11851	229	28	,	,	PUNCT
fumecheng-11851	229	29	d.	d.	PROPN
fumecheng-11851	229	30	marinković	marinković	PROPN
fumecheng-11851	229	31	,	,	PUNCT
fumecheng-11851	229	32	ž	ž	PROPN
fumecheng-11851	230	1	.	.	PUNCT
fumecheng-11851	230	2	ćojbašić	ćojbašić	PROPN
fumecheng-11851	230	3	increment	increment	NOUN
fumecheng-11851	230	4	of	of	ADP
fumecheng-11851	230	5	the	the	DET
fumecheng-11851	230	6	corresponding	correspond	VERB
fumecheng-11851	230	7	quantity	quantity	NOUN
fumecheng-11851	230	8	between	between	ADP
fumecheng-11851	230	9	two	two	NUM
fumecheng-11851	230	10	configurations	configuration	NOUN
fumecheng-11851	230	11	.	.	PUNCT
fumecheng-11851	231	1	the	the	DET
fumecheng-11851	231	2	external	external	ADJ
fumecheng-11851	231	3	excitations	excitation	NOUN
fumecheng-11851	231	4	are	be	AUX
fumecheng-11851	231	5	the	the	DET
fumecheng-11851	231	6	applied	apply	VERB
fumecheng-11851	231	7	forces	force	NOUN
fumecheng-11851	231	8	/	/	SYM
fumecheng-11851	231	9	moments	moment	NOUN
fumecheng-11851	231	10	and	and	CCONJ
fumecheng-11851	231	11	electrical	electrical	ADJ
fumecheng-11851	231	12	charges	charge	NOUN
fumecheng-11851	231	13	.	.	PUNCT
fumecheng-11851	232	1	their	their	PRON
fumecheng-11851	232	2	internal	internal	ADJ
fumecheng-11851	232	3	counterparts	counterpart	NOUN
fumecheng-11851	232	4	are	be	AUX
fumecheng-11851	232	5	obtained	obtain	VERB
fumecheng-11851	232	6	by	by	ADP
fumecheng-11851	232	7	integrating	integrate	VERB
fumecheng-11851	232	8	the	the	DET
fumecheng-11851	232	9	mechanical	mechanical	ADJ
fumecheng-11851	232	10	stresses	stress	NOUN
fumecheng-11851	232	11	and	and	CCONJ
fumecheng-11851	232	12	dielectric	dielectric	ADJ
fumecheng-11851	232	13	displacements	displacement	NOUN
fumecheng-11851	232	14	over	over	ADP
fumecheng-11851	232	15	the	the	DET
fumecheng-11851	232	16	current	current	ADJ
fumecheng-11851	232	17	configuration	configuration	NOUN
fumecheng-11851	232	18	of	of	ADP
fumecheng-11851	232	19	the	the	DET
fumecheng-11851	232	20	structure	structure	NOUN
fumecheng-11851	232	21	,	,	PUNCT
fumecheng-11851	232	22	respectively	respectively	ADV
fumecheng-11851	232	23	:	:	PUNCT
fumecheng-11851	232	24			PROPN
fumecheng-11851	232	25			PROPN
fumecheng-11851	232	26			PROPN
fumecheng-11851	232	27			ADP
fumecheng-11851	232	28			PROPN
fumecheng-11851	232	29			PROPN
fumecheng-11851	232	30	t	t	PROPN
fumecheng-11851	232	31	t	t	PROPN
fumecheng-11851	232	32	e	e	PROPN
fumecheng-11851	232	33	t	t	PROPN
fumecheng-11851	232	34	t	t	PROPN
fumecheng-11851	232	35	t	t	PROPN
fumecheng-11851	232	36	int	int	PROPN
fumecheng-11851	233	1	lv	lv	PROPN
fumecheng-11851	233	2	f	f	PROPN
fumecheng-11851	233	3	b	b	PROPN
fumecheng-11851	233	4	dv=	dv=	PROPN
fumecheng-11851	233	5			X
fumecheng-11851	233	6	(	(	PUNCT
fumecheng-11851	233	7	25	25	NUM
fumecheng-11851	233	8	)	)	PUNCT
fumecheng-11851	233	9			PROPN
fumecheng-11851	233	10			PROPN
fumecheng-11851	233	11			PROPN
fumecheng-11851	233	12			PROPN
fumecheng-11851	233	13	t	t	PROPN
fumecheng-11851	233	14	t	t	PROPN
fumecheng-11851	233	15	e	e	PROPN
fumecheng-11851	233	16	t	t	PROPN
fumecheng-11851	233	17	t	t	PROPN
fumecheng-11851	233	18	t	t	PROPN
fumecheng-11851	233	19	int	int	VERB
fumecheng-11851	233	20	a	a	DET
fumecheng-11851	233	21	q	q	NOUN
fumecheng-11851	233	22	b	b	PROPN
fumecheng-11851	233	23	d	d	PROPN
fumecheng-11851	233	24	da	da	PROPN
fumecheng-11851	233	25			PROPN
fumecheng-11851	233	26	=	=	NOUN
fumecheng-11851	233	27			X
fumecheng-11851	233	28			PROPN
fumecheng-11851	233	29	(	(	PUNCT
fumecheng-11851	233	30	26	26	NUM
fumecheng-11851	233	31	)	)	PUNCT
fumecheng-11851	233	32	the	the	DET
fumecheng-11851	233	33	integration	integration	NOUN
fumecheng-11851	233	34	in	in	ADP
fumecheng-11851	233	35	eq	eq	ADP
fumecheng-11851	233	36	.	.	PUNCT
fumecheng-11851	234	1	(	(	PUNCT
fumecheng-11851	234	2	25	25	NUM
fumecheng-11851	234	3	)	)	PUNCT
fumecheng-11851	234	4	runs	run	VERB
fumecheng-11851	234	5	over	over	ADP
fumecheng-11851	234	6	the	the	DET
fumecheng-11851	234	7	whole	whole	ADJ
fumecheng-11851	234	8	structure	structure	NOUN
fumecheng-11851	234	9	,	,	PUNCT
fumecheng-11851	234	10	v	v	NOUN
fumecheng-11851	234	11	,	,	PUNCT
fumecheng-11851	234	12	while	while	SCONJ
fumecheng-11851	234	13	in	in	ADP
fumecheng-11851	234	14	eq	eq	ADP
fumecheng-11851	234	15	.	.	PUNCT
fumecheng-11851	235	1	(	(	PUNCT
fumecheng-11851	235	2	26	26	NUM
fumecheng-11851	235	3	)	)	PUNCT
fumecheng-11851	235	4	only	only	ADV
fumecheng-11851	235	5	over	over	ADP
fumecheng-11851	235	6	the	the	DET
fumecheng-11851	235	7	surface	surface	NOUN
fumecheng-11851	235	8	of	of	ADP
fumecheng-11851	235	9	the	the	DET
fumecheng-11851	235	10	piezopatches	piezopatche	NOUN
fumecheng-11851	235	11	,	,	PUNCT
fumecheng-11851	235	12	a.	a.	NOUN
fumecheng-11851	235	13	updated	update	VERB
fumecheng-11851	235	14	lagrangian	lagrangian	ADJ
fumecheng-11851	235	15	formulation	formulation	NOUN
fumecheng-11851	235	16	is	be	AUX
fumecheng-11851	235	17	used	use	VERB
fumecheng-11851	235	18	in	in	ADP
fumecheng-11851	235	19	thgis	thgis	ADJ
fumecheng-11851	235	20	work	work	NOUN
fumecheng-11851	235	21	and	and	CCONJ
fumecheng-11851	235	22	,	,	PUNCT
fumecheng-11851	235	23	hence	hence	ADV
fumecheng-11851	235	24	,	,	PUNCT
fumecheng-11851	235	25	all	all	DET
fumecheng-11851	235	26	the	the	DET
fumecheng-11851	235	27	vectors	vector	NOUN
fumecheng-11851	235	28	and	and	CCONJ
fumecheng-11851	235	29	matrices	matrix	NOUN
fumecheng-11851	235	30	use	use	VERB
fumecheng-11851	235	31	the	the	DET
fumecheng-11851	235	32	last	last	ADJ
fumecheng-11851	235	33	determined	determined	ADJ
fumecheng-11851	235	34	configuration	configuration	NOUN
fumecheng-11851	235	35	as	as	ADP
fumecheng-11851	235	36	a	a	DET
fumecheng-11851	235	37	reference	reference	NOUN
fumecheng-11851	235	38	configuration	configuration	NOUN
fumecheng-11851	235	39	.	.	PUNCT
fumecheng-11851	236	1	the	the	DET
fumecheng-11851	236	2	tangential	tangential	ADJ
fumecheng-11851	236	3	stiffness	stiffness	NOUN
fumecheng-11851	236	4	matrix	matrix	NOUN
fumecheng-11851	236	5	is	be	AUX
fumecheng-11851	236	6	computed	compute	VERB
fumecheng-11851	236	7	using	use	VERB
fumecheng-11851	236	8	the	the	DET
fumecheng-11851	236	9	following	follow	VERB
fumecheng-11851	236	10	equation	equation	NOUN
fumecheng-11851	236	11	:	:	PUNCT
fumecheng-11851	236	12			ADJ
fumecheng-11851	236	13			ADP
fumecheng-11851	236	14			ADJ
fumecheng-11851	236	15			PUNCT
fumecheng-11851	236	16			PROPN
fumecheng-11851	237	1			PROPN
fumecheng-11851	237	2	t	t	PROPN
fumecheng-11851	237	3	t	t	PROPN
fumecheng-11851	237	4	t	t	PROPN
fumecheng-11851	237	5	t	t	PROPN
fumecheng-11851	237	6	t	t	PROPN
fumecheng-11851	237	7	t	t	PROPN
fumecheng-11851	237	8	t	t	PROPN
fumecheng-11851	237	9	t	t	PROPN
fumecheng-11851	237	10	t	t	PROPN
fumecheng-11851	237	11	te	te	PROPN
fumecheng-11851	237	12	uut	uut	PROPN
fumecheng-11851	237	13	u	u	PROPN
fumecheng-11851	237	14	uv	uv	NOUN
fumecheng-11851	237	15	v	v	NOUN
fumecheng-11851	237	16	k	k	PROPN
fumecheng-11851	237	17	b	b	PROPN
fumecheng-11851	237	18	c	c	PROPN
fumecheng-11851	237	19	b	b	PROPN
fumecheng-11851	237	20	dv	dv	PROPN
fumecheng-11851	237	21	g	g	PROPN
fumecheng-11851	237	22	g	g	PROPN
fumecheng-11851	237	23	dv	dv	PROPN
fumecheng-11851	237	24	=	=	PROPN
fumecheng-11851	238	1	+	+	NOUN
fumecheng-11851	238	2			PROPN
fumecheng-11851	238	3			ADJ
fumecheng-11851	238	4			PROPN
fumecheng-11851	238	5			ADJ
fumecheng-11851	238	6			PROPN
fumecheng-11851	238	7			PROPN
fumecheng-11851	238	8			PROPN
fumecheng-11851	238	9			VERB
fumecheng-11851	238	10			PROPN
fumecheng-11851	238	11			VERB
fumecheng-11851	238	12			X
fumecheng-11851	238	13			PROPN
fumecheng-11851	238	14			X
fumecheng-11851	238	15	(	(	PUNCT
fumecheng-11851	238	16	27	27	NUM
fumecheng-11851	238	17	)	)	PUNCT
fumecheng-11851	238	18	where	where	SCONJ
fumecheng-11851	238	19	t[g	t[g	NOUN
fumecheng-11851	238	20	]	]	PUNCT
fumecheng-11851	238	21	is	be	AUX
fumecheng-11851	238	22	the	the	DET
fumecheng-11851	238	23	matrix	matrix	NOUN
fumecheng-11851	238	24	of	of	ADP
fumecheng-11851	238	25	partial	partial	ADJ
fumecheng-11851	238	26	derivatives	derivative	NOUN
fumecheng-11851	238	27	and	and	CCONJ
fumecheng-11851	238	28	t[	t[	PRON
fumecheng-11851	238	29	]	]	PUNCT
fumecheng-11851	238	30	is	be	AUX
fumecheng-11851	238	31	the	the	DET
fumecheng-11851	238	32	cauchy	cauchy	PROPN
fumecheng-11851	238	33	stress	stress	NOUN
fumecheng-11851	238	34	tensor	tensor	NOUN
fumecheng-11851	238	35	:	:	PUNCT
fumecheng-11851	238	36			PROPN
fumecheng-11851	238	37			PROPN
fumecheng-11851	238	38			PROPN
fumecheng-11851	238	39			ADP
fumecheng-11851	238	40			PROPN
fumecheng-11851	239	1			PROPN
fumecheng-11851	239	2			PROPN
fumecheng-11851	239	3			PROPN
fumecheng-11851	239	4			PROPN
fumecheng-11851	239	5			PROPN
fumecheng-11851	239	6			PROPN
fumecheng-11851	239	7			PROPN
fumecheng-11851	239	8			PROPN
fumecheng-11851	239	9			PROPN
fumecheng-11851	239	10			PROPN
fumecheng-11851	239	11			PROPN
fumecheng-11851	239	12			PROPN
fumecheng-11851	239	13			PROPN
fumecheng-11851	239	14			PROPN
fumecheng-11851	239	15			PROPN
fumecheng-11851	239	16			PROPN
fumecheng-11851	239	17			PROPN
fumecheng-11851	239	18	t	t	NOUN
fumecheng-11851	239	19	0	0	NUM
fumecheng-11851	239	20	0	0	NUM
fumecheng-11851	239	21	0	0	NUM
fumecheng-11851	239	22	0	0	NUM
fumecheng-11851	239	23	0	0	NUM
fumecheng-11851	239	24	0	0	NUM
fumecheng-11851	240	1	g	g	NOUN
fumecheng-11851	240	2	g	g	PROPN
fumecheng-11851	240	3	g	g	PROPN
fumecheng-11851	240	4	g	g	PROPN
fumecheng-11851	240	5	x	x	SYM
fumecheng-11851	240	6	y	y	PROPN
fumecheng-11851	240	7	z	z	PROPN
fumecheng-11851	240	8	g	g	PROPN
fumecheng-11851	240	9			PROPN
fumecheng-11851	240	10			NOUN
fumecheng-11851	240	11			ADP
fumecheng-11851	240	12			NOUN
fumecheng-11851	240	13			ADJ
fumecheng-11851	240	14			ADJ
fumecheng-11851	240	15			NOUN
fumecheng-11851	240	16			NOUN
fumecheng-11851	240	17	=	=	SYM
fumecheng-11851	240	18			NOUN
fumecheng-11851	241	1	=	=	NOUN
fumecheng-11851	241	2			NUM
fumecheng-11851	241	3			NOUN
fumecheng-11851	241	4			PROPN
fumecheng-11851	241	5			PROPN
fumecheng-11851	241	6			NOUN
fumecheng-11851	241	7			X
fumecheng-11851	241	8			PROPN
fumecheng-11851	241	9			NOUN
fumecheng-11851	241	10			NOUN
fumecheng-11851	241	11			NOUN
fumecheng-11851	241	12			PROPN
fumecheng-11851	241	13	(	(	PUNCT
fumecheng-11851	241	14	28	28	NUM
fumecheng-11851	241	15	)	)	PUNCT
fumecheng-11851	241	16			ADJ
fumecheng-11851	241	17			ADP
fumecheng-11851	241	18			ADJ
fumecheng-11851	241	19			PUNCT
fumecheng-11851	241	20			ADJ
fumecheng-11851	241	21			PUNCT
fumecheng-11851	241	22			ADJ
fumecheng-11851	241	23			PUNCT
fumecheng-11851	241	24			ADJ
fumecheng-11851	241	25			PUNCT
fumecheng-11851	241	26			ADJ
fumecheng-11851	241	27			PUNCT
fumecheng-11851	241	28			PROPN
fumecheng-11851	241	29			NOUN
fumecheng-11851	241	30	0	0	NUM
fumecheng-11851	241	31	0	0	NUM
fumecheng-11851	241	32	0	0	NUM
fumecheng-11851	241	33	0	0	NUM
fumecheng-11851	241	34	0	0	NUM
fumecheng-11851	241	35	0	0	NUM
fumecheng-11851	242	1	xx	xx	NUM
fumecheng-11851	243	1	xy	xy	INTJ
fumecheng-11851	243	2	xz	xz	PROPN
fumecheng-11851	243	3	xy	xy	INTJ
fumecheng-11851	244	1	yy	yy	INTJ
fumecheng-11851	245	1	yz	yz	PROPN
fumecheng-11851	245	2	xz	xz	PROPN
fumecheng-11851	246	1	yz	yz	PROPN
fumecheng-11851	246	2	zz	zz	PROPN
fumecheng-11851	246	3			PROPN
fumecheng-11851	246	4			X
fumecheng-11851	246	5			X
fumecheng-11851	246	6			X
fumecheng-11851	246	7			X
fumecheng-11851	246	8			X
fumecheng-11851	246	9			X
fumecheng-11851	246	10			X
fumecheng-11851	246	11			X
fumecheng-11851	246	12			X
fumecheng-11851	246	13			X
fumecheng-11851	246	14			X
fumecheng-11851	246	15			X
fumecheng-11851	246	16			X
fumecheng-11851	246	17			PROPN
fumecheng-11851	246	18			PROPN
fumecheng-11851	246	19			NOUN
fumecheng-11851	246	20			NOUN
fumecheng-11851	246	21			VERB
fumecheng-11851	246	22			PRON
fumecheng-11851	246	23			NOUN
fumecheng-11851	246	24			PROPN
fumecheng-11851	246	25			NOUN
fumecheng-11851	246	26			NOUN
fumecheng-11851	246	27			NOUN
fumecheng-11851	246	28			NOUN
fumecheng-11851	246	29			PUNCT
fumecheng-11851	246	30			PROPN
fumecheng-11851	246	31	=	=	PROPN
fumecheng-11851	246	32			NOUN
fumecheng-11851	246	33	=	=	NOUN
fumecheng-11851	246	34			NOUN
fumecheng-11851	246	35			NOUN
fumecheng-11851	246	36			NOUN
fumecheng-11851	246	37			PROPN
fumecheng-11851	246	38			PROPN
fumecheng-11851	246	39			NOUN
fumecheng-11851	246	40			PROPN
fumecheng-11851	246	41			NOUN
fumecheng-11851	246	42			PROPN
fumecheng-11851	246	43			NOUN
fumecheng-11851	246	44			NOUN
fumecheng-11851	246	45			VERB
fumecheng-11851	246	46			PROPN
fumecheng-11851	246	47			PROPN
fumecheng-11851	246	48			X
fumecheng-11851	246	49			PRON
fumecheng-11851	246	50			PROPN
fumecheng-11851	246	51			PROPN
fumecheng-11851	246	52	(	(	PUNCT
fumecheng-11851	246	53	29	29	NUM
fumecheng-11851	246	54	)	)	PUNCT
fumecheng-11851	246	55	the	the	DET
fumecheng-11851	246	56	piezoelectric	piezoelectric	ADJ
fumecheng-11851	246	57	stiffness	stiffness	NOUN
fumecheng-11851	246	58	matrix	matrix	NOUN
fumecheng-11851	246	59	,	,	PUNCT
fumecheng-11851	246	60	[	[	X
fumecheng-11851	246	61	ku	ku	X
fumecheng-11851	246	62	]	]	X
fumecheng-11851	246	63	,	,	PUNCT
fumecheng-11851	246	64	and	and	CCONJ
fumecheng-11851	246	65	the	the	DET
fumecheng-11851	246	66	dielectric	dielectric	ADJ
fumecheng-11851	246	67	stiffness	stiffness	NOUN
fumecheng-11851	246	68	matrix	matrix	NOUN
fumecheng-11851	246	69	,	,	PUNCT
fumecheng-11851	246	70	[	[	X
fumecheng-11851	246	71	k	k	PROPN
fumecheng-11851	246	72	]	]	PUNCT
fumecheng-11851	246	73	,	,	PUNCT
fumecheng-11851	246	74	are	be	AUX
fumecheng-11851	246	75	computed	compute	VERB
fumecheng-11851	246	76	in	in	ADP
fumecheng-11851	246	77	the	the	DET
fumecheng-11851	246	78	same	same	ADJ
fumecheng-11851	246	79	manner	manner	NOUN
fumecheng-11851	246	80	as	as	ADP
fumecheng-11851	246	81	in	in	ADP
fumecheng-11851	246	82	the	the	DET
fumecheng-11851	246	83	linear	linear	ADJ
fumecheng-11851	246	84	analysis	analysis	NOUN
fumecheng-11851	246	85	,	,	PUNCT
fumecheng-11851	246	86	with	with	ADP
fumecheng-11851	246	87	the	the	DET
fumecheng-11851	246	88	only	only	ADJ
fumecheng-11851	246	89	difference	difference	NOUN
fumecheng-11851	246	90	that	that	PRON
fumecheng-11851	246	91	they	they	PRON
fumecheng-11851	246	92	are	be	AUX
fumecheng-11851	246	93	integration	integration	NOUN
fumecheng-11851	246	94	over	over	ADP
fumecheng-11851	246	95	the	the	DET
fumecheng-11851	246	96	current	current	ADJ
fumecheng-11851	246	97	volume	volume	NOUN
fumecheng-11851	246	98	of	of	ADP
fumecheng-11851	246	99	the	the	DET
fumecheng-11851	246	100	structure	structure	NOUN
fumecheng-11851	246	101	:	:	PUNCT
fumecheng-11851	247	1	t	t	PROPN
fumecheng-11851	247	2	t	t	PROPN
fumecheng-11851	247	3	t	t	PROPN
fumecheng-11851	247	4	t	t	PROPN
fumecheng-11851	247	5	t	t	PROPN
fumecheng-11851	247	6	v	v	ADP
fumecheng-11851	247	7	k	k	PROPN
fumecheng-11851	247	8	b	b	PROPN
fumecheng-11851	247	9	d	d	PROPN
fumecheng-11851	247	10	b	b	PROPN
fumecheng-11851	247	11	dv	dv	X
fumecheng-11851	247	12			NOUN
fumecheng-11851	247	13			NOUN
fumecheng-11851	247	14			NOUN
fumecheng-11851	247	15			PROPN
fumecheng-11851	247	16			PROPN
fumecheng-11851	247	17			INTJ
fumecheng-11851	247	18			PROPN
fumecheng-11851	247	19			ADJ
fumecheng-11851	247	20			PROPN
fumecheng-11851	247	21	=	=	PROPN
fumecheng-11851	247	22	−	−	PROPN
fumecheng-11851	247	23			PROPN
fumecheng-11851	247	24			VERB
fumecheng-11851	247	25			PROPN
fumecheng-11851	247	26			VERB
fumecheng-11851	247	27			X
fumecheng-11851	247	28			PROPN
fumecheng-11851	247	29	(	(	PUNCT
fumecheng-11851	247	30	30	30	NUM
fumecheng-11851	247	31	)	)	PUNCT
fumecheng-11851	247	32			NOUN
fumecheng-11851	247	33			ADP
fumecheng-11851	247	34	tt	tt	PROPN
fumecheng-11851	247	35	t	t	PROPN
fumecheng-11851	247	36	t	t	PROPN
fumecheng-11851	247	37	t	t	PROPN
fumecheng-11851	247	38	tt	tt	PROPN
fumecheng-11851	247	39	u	u	PROPN
fumecheng-11851	247	40	u	u	PROPN
fumecheng-11851	247	41	uv	uv	NOUN
fumecheng-11851	247	42	k	k	PROPN
fumecheng-11851	247	43	b	b	PROPN
fumecheng-11851	247	44	e	e	PROPN
fumecheng-11851	247	45	b	b	PROPN
fumecheng-11851	247	46	dv	dv	PROPN
fumecheng-11851	247	47	k	k	PROPN
fumecheng-11851	247	48			PROPN
fumecheng-11851	247	49			NOUN
fumecheng-11851	247	50			PROPN
fumecheng-11851	247	51			NOUN
fumecheng-11851	247	52			PROPN
fumecheng-11851	247	53			X
fumecheng-11851	247	54			PROPN
fumecheng-11851	247	55	=	=	NOUN
fumecheng-11851	247	56	−	−	PROPN
fumecheng-11851	247	57	=	=	SYM
fumecheng-11851	247	58			PROPN
fumecheng-11851	247	59			PROPN
fumecheng-11851	247	60			PROPN
fumecheng-11851	247	61			PROPN
fumecheng-11851	247	62			VERB
fumecheng-11851	247	63			PROPN
fumecheng-11851	247	64			VERB
fumecheng-11851	247	65			PROPN
fumecheng-11851	247	66	(	(	PUNCT
fumecheng-11851	247	67	31	31	NUM
fumecheng-11851	247	68	)	)	PUNCT
fumecheng-11851	247	69	it	it	PRON
fumecheng-11851	247	70	should	should	AUX
fumecheng-11851	247	71	be	be	AUX
fumecheng-11851	247	72	emphasized	emphasize	VERB
fumecheng-11851	247	73	that	that	SCONJ
fumecheng-11851	247	74	the	the	DET
fumecheng-11851	247	75	piezo	piezo	PROPN
fumecheng-11851	247	76	-	-	ADJ
fumecheng-11851	247	77	electrically	electrically	ADV
fumecheng-11851	247	78	induced	induced	ADJ
fumecheng-11851	247	79	loads	load	NOUN
fumecheng-11851	247	80	are	be	AUX
fumecheng-11851	247	81	configuration	configuration	NOUN
fumecheng-11851	247	82	dependent	dependent	ADJ
fumecheng-11851	247	83	.	.	PUNCT
fumecheng-11851	248	1	they	they	PRON
fumecheng-11851	248	2	are	be	AUX
fumecheng-11851	248	3	obtained	obtain	VERB
fumecheng-11851	248	4	by	by	ADP
fumecheng-11851	248	5	multiplying	multiply	VERB
fumecheng-11851	248	6	the	the	DET
fumecheng-11851	248	7	piezoelectric	piezoelectric	NOUN
fumecheng-11851	248	8	coupling	couple	VERB
fumecheng-11851	248	9	matrix	matrix	NOUN
fumecheng-11851	248	10	,	,	PUNCT
fumecheng-11851	248	11	eq	eq	NOUN
fumecheng-11851	248	12	.	.	PUNCT
fumecheng-11851	249	1	(	(	PUNCT
fumecheng-11851	249	2	31	31	NUM
fumecheng-11851	249	3	)	)	PUNCT
fumecheng-11851	249	4	,	,	PUNCT
fumecheng-11851	249	5	with	with	ADP
fumecheng-11851	249	6	the	the	DET
fumecheng-11851	249	7	electric	electric	ADJ
fumecheng-11851	249	8	potential	potential	NOUN
fumecheng-11851	249	9	.	.	PUNCT
fumecheng-11851	250	1	the	the	DET
fumecheng-11851	250	2	obtained	obtain	VERB
fumecheng-11851	250	3	nonlinear	nonlinear	ADJ
fumecheng-11851	250	4	problem	problem	NOUN
fumecheng-11851	250	5	is	be	AUX
fumecheng-11851	250	6	resolved	resolve	VERB
fumecheng-11851	250	7	by	by	ADP
fumecheng-11851	250	8	means	mean	NOUN
fumecheng-11851	250	9	of	of	ADP
fumecheng-11851	250	10	the	the	DET
fumecheng-11851	250	11	newton	newton	PROPN
fumecheng-11851	250	12	–	–	PUNCT
fumecheng-11851	250	13	raphson	raphson	NOUN
fumecheng-11851	250	14	iterative	iterative	NOUN
fumecheng-11851	250	15	procedure	procedure	NOUN
fumecheng-11851	250	16	[	[	X
fumecheng-11851	250	17	33	33	NUM
fumecheng-11851	250	18	]	]	PUNCT
fumecheng-11851	250	19	.	.	PUNCT
fumecheng-11851	251	1	geometrically	geometrically	ADV
fumecheng-11851	251	2	nonlinear	nonlinear	VERB
fumecheng-11851	251	3	analysis	analysis	NOUN
fumecheng-11851	251	4	of	of	ADP
fumecheng-11851	251	5	piezoelectric	piezoelectric	ADJ
fumecheng-11851	251	6	active	active	ADJ
fumecheng-11851	251	7	laminated	laminate	VERB
fumecheng-11851	251	8	shells	shell	NOUN
fumecheng-11851	251	9	by	by	ADP
fumecheng-11851	251	10	means	mean	NOUN
fumecheng-11851	251	11	of	of	ADP
fumecheng-11851	251	12	isogeometric	isogeometric	NOUN
fumecheng-11851	251	13	...	...	PUNCT
fumecheng-11851	251	14	397	397	NUM
fumecheng-11851	251	15	6	6	NUM
fumecheng-11851	251	16	.	.	PUNCT
fumecheng-11851	252	1	numerical	numerical	ADJ
fumecheng-11851	252	2	examples	example	NOUN
fumecheng-11851	252	3	in	in	ADP
fumecheng-11851	252	4	this	this	DET
fumecheng-11851	252	5	section	section	NOUN
fumecheng-11851	252	6	,	,	PUNCT
fumecheng-11851	252	7	a	a	DET
fumecheng-11851	252	8	few	few	ADJ
fumecheng-11851	252	9	selected	select	VERB
fumecheng-11851	252	10	numerical	numerical	ADJ
fumecheng-11851	252	11	examples	example	NOUN
fumecheng-11851	252	12	of	of	ADP
fumecheng-11851	252	13	laminar	laminar	ADJ
fumecheng-11851	252	14	piezo	piezo	ADJ
fumecheng-11851	252	15	-	-	ADJ
fumecheng-11851	252	16	electric	electric	ADJ
fumecheng-11851	252	17	shells	shell	NOUN
fumecheng-11851	252	18	under	under	ADP
fumecheng-11851	252	19	different	different	ADJ
fumecheng-11851	252	20	load	load	NOUN
fumecheng-11851	252	21	sets	set	NOUN
fumecheng-11851	252	22	are	be	AUX
fumecheng-11851	252	23	considered	consider	VERB
fumecheng-11851	252	24	.	.	PUNCT
fumecheng-11851	253	1	bothe	bothe	VERB
fumecheng-11851	253	2	the	the	DET
fumecheng-11851	253	3	actuator	actuator	NOUN
fumecheng-11851	253	4	and	and	CCONJ
fumecheng-11851	253	5	sensor	sensor	NOUN
fumecheng-11851	253	6	role	role	NOUN
fumecheng-11851	253	7	of	of	ADP
fumecheng-11851	253	8	piezoelectric	piezoelectric	ADJ
fumecheng-11851	253	9	layers	layer	NOUN
fumecheng-11851	253	10	are	be	AUX
fumecheng-11851	253	11	covered	cover	VERB
fumecheng-11851	253	12	.	.	PUNCT
fumecheng-11851	254	1	6.1	6.1	NUM
fumecheng-11851	254	2	.	.	PUNCT
fumecheng-11851	254	3	nonlinear	nonlinear	ADJ
fumecheng-11851	254	4	analysis	analysis	NOUN
fumecheng-11851	254	5	of	of	ADP
fumecheng-11851	254	6	a	a	DET
fumecheng-11851	254	7	plate	plate	NOUN
fumecheng-11851	254	8	the	the	DET
fumecheng-11851	254	9	in	in	ADP
fumecheng-11851	254	10	-	-	PUNCT
fumecheng-11851	254	11	plane	plane	NOUN
fumecheng-11851	254	12	dimension	dimension	NOUN
fumecheng-11851	254	13	of	of	ADP
fumecheng-11851	254	14	considered	consider	VERB
fumecheng-11851	254	15	plate	plate	NOUN
fumecheng-11851	254	16	are	be	AUX
fumecheng-11851	254	17	4040	4040	NUM
fumecheng-11851	254	18	mm	mm	NOUN
fumecheng-11851	254	19	,	,	PUNCT
fumecheng-11851	254	20	while	while	SCONJ
fumecheng-11851	254	21	the	the	DET
fumecheng-11851	254	22	thickness	thickness	NOUN
fumecheng-11851	254	23	varies	vary	VERB
fumecheng-11851	254	24	in	in	ADP
fumecheng-11851	254	25	the	the	DET
fumecheng-11851	254	26	considered	consider	VERB
fumecheng-11851	254	27	cases	case	NOUN
fumecheng-11851	254	28	.	.	PUNCT
fumecheng-11851	255	1	the	the	DET
fumecheng-11851	255	2	structure	structure	NOUN
fumecheng-11851	255	3	was	be	AUX
fumecheng-11851	255	4	discretized	discretize	VERB
fumecheng-11851	255	5	using	use	VERB
fumecheng-11851	255	6	the	the	DET
fumecheng-11851	255	7	following	follow	VERB
fumecheng-11851	255	8	finite	finite	ADJ
fumecheng-11851	255	9	elements	element	NOUN
fumecheng-11851	255	10	:	:	PUNCT
fumecheng-11851	255	11	shell91	shell91	NOUN
fumecheng-11851	255	12	(	(	PUNCT
fumecheng-11851	255	13	ansys	ansys	PROPN
fumecheng-11851	255	14	)	)	PUNCT
fumecheng-11851	255	15	,	,	PUNCT
fumecheng-11851	255	16	acshell9	acshell9	PUNCT
fumecheng-11851	256	1	[	[	X
fumecheng-11851	256	2	34	34	NUM
fumecheng-11851	256	3	]	]	PUNCT
fumecheng-11851	256	4	and	and	CCONJ
fumecheng-11851	256	5	the	the	DET
fumecheng-11851	256	6	developed	develop	VERB
fumecheng-11851	256	7	formulation	formulation	NOUN
fumecheng-11851	256	8	(	(	PUNCT
fumecheng-11851	256	9	nurbs	nurb	NOUN
fumecheng-11851	256	10	)	)	PUNCT
fumecheng-11851	256	11	.	.	PUNCT
fumecheng-11851	257	1	in	in	ADP
fumecheng-11851	257	2	its	its	PRON
fumecheng-11851	257	3	initial	initial	ADJ
fumecheng-11851	257	4	geometry	geometry	NOUN
fumecheng-11851	257	5	,	,	PUNCT
fumecheng-11851	257	6	the	the	DET
fumecheng-11851	257	7	structure	structure	NOUN
fumecheng-11851	257	8	is	be	AUX
fumecheng-11851	257	9	flat	flat	ADJ
fumecheng-11851	257	10	,	,	PUNCT
fumecheng-11851	257	11	but	but	CCONJ
fumecheng-11851	257	12	becomes	become	VERB
fumecheng-11851	257	13	curved	curved	ADJ
fumecheng-11851	257	14	after	after	ADP
fumecheng-11851	257	15	the	the	DET
fumecheng-11851	257	16	first	first	ADJ
fumecheng-11851	257	17	loading	loading	NOUN
fumecheng-11851	257	18	step	step	NOUN
fumecheng-11851	257	19	.	.	PUNCT
fumecheng-11851	258	1	first	first	ADV
fumecheng-11851	258	2	,	,	PUNCT
fumecheng-11851	258	3	the	the	DET
fumecheng-11851	258	4	results	result	NOUN
fumecheng-11851	258	5	of	of	ADP
fumecheng-11851	258	6	linear	linear	NOUN
fumecheng-11851	258	7	and	and	CCONJ
fumecheng-11851	258	8	geometrically	geometrically	ADV
fumecheng-11851	258	9	nonlinear	nonlinear	VERB
fumecheng-11851	258	10	analysis	analysis	NOUN
fumecheng-11851	258	11	of	of	ADP
fumecheng-11851	258	12	the	the	DET
fumecheng-11851	258	13	plate	plate	NOUN
fumecheng-11851	258	14	made	make	VERB
fumecheng-11851	258	15	of	of	ADP
fumecheng-11851	258	16	only	only	ADV
fumecheng-11851	258	17	one	one	NUM
fumecheng-11851	258	18	piezoelectric	piezoelectric	ADJ
fumecheng-11851	258	19	ceramic	ceramic	ADJ
fumecheng-11851	258	20	isotropic	isotropic	NOUN
fumecheng-11851	258	21	layer	layer	NOUN
fumecheng-11851	258	22	pzt	pzt	NOUN
fumecheng-11851	258	23	g1195	g1195	PROPN
fumecheng-11851	258	24	(	(	PUNCT
fumecheng-11851	258	25	properties	property	NOUN
fumecheng-11851	258	26	in	in	ADP
fumecheng-11851	258	27	table	table	NOUN
fumecheng-11851	258	28	1	1	NUM
fumecheng-11851	258	29	)	)	PUNCT
fumecheng-11851	258	30	with	with	ADP
fumecheng-11851	258	31	different	different	ADJ
fumecheng-11851	258	32	types	type	NOUN
fumecheng-11851	258	33	of	of	ADP
fumecheng-11851	258	34	finite	finite	ADJ
fumecheng-11851	258	35	elements	element	NOUN
fumecheng-11851	258	36	are	be	AUX
fumecheng-11851	258	37	compared	compare	VERB
fumecheng-11851	258	38	.	.	PUNCT
fumecheng-11851	259	1	the	the	DET
fumecheng-11851	259	2	structure	structure	NOUN
fumecheng-11851	259	3	is	be	AUX
fumecheng-11851	259	4	exposed	expose	VERB
fumecheng-11851	259	5	to	to	ADP
fumecheng-11851	259	6	an	an	DET
fumecheng-11851	259	7	external	external	ADJ
fumecheng-11851	259	8	force	force	NOUN
fumecheng-11851	259	9	of	of	ADP
fumecheng-11851	259	10	24	24	NUM
fumecheng-11851	259	11	kn	kn	PROPN
fumecheng-11851	259	12	in	in	ADP
fumecheng-11851	259	13	all	all	DET
fumecheng-11851	259	14	considered	consider	VERB
fumecheng-11851	259	15	cases	case	NOUN
fumecheng-11851	259	16	.	.	PUNCT
fumecheng-11851	260	1	in	in	ADP
fumecheng-11851	260	2	the	the	DET
fumecheng-11851	260	3	first	first	ADJ
fumecheng-11851	260	4	two	two	NUM
fumecheng-11851	260	5	cases	case	NOUN
fumecheng-11851	260	6	,	,	PUNCT
fumecheng-11851	260	7	the	the	DET
fumecheng-11851	260	8	force	force	NOUN
fumecheng-11851	260	9	is	be	AUX
fumecheng-11851	260	10	distributed	distribute	VERB
fumecheng-11851	260	11	over	over	ADP
fumecheng-11851	260	12	a	a	DET
fumecheng-11851	260	13	40	40	NUM
fumecheng-11851	260	14	mm	mm	NUM
fumecheng-11851	260	15	long	long	ADJ
fumecheng-11851	260	16	line	line	NOUN
fumecheng-11851	260	17	(	(	PUNCT
fumecheng-11851	260	18	600	600	NUM
fumecheng-11851	260	19	kn	kn	PROPN
fumecheng-11851	260	20	/	/	SYM
fumecheng-11851	260	21	m	m	PROPN
fumecheng-11851	260	22	)	)	PUNCT
fumecheng-11851	260	23	and	and	CCONJ
fumecheng-11851	260	24	in	in	ADP
fumecheng-11851	260	25	the	the	DET
fumecheng-11851	260	26	third	third	ADJ
fumecheng-11851	260	27	case	case	NOUN
fumecheng-11851	260	28	,	,	PUNCT
fumecheng-11851	260	29	it	it	PRON
fumecheng-11851	260	30	is	be	AUX
fumecheng-11851	260	31	a	a	DET
fumecheng-11851	260	32	concentrated	concentrated	ADJ
fumecheng-11851	260	33	force	force	NOUN
fumecheng-11851	260	34	(	(	PUNCT
fumecheng-11851	260	35	fig	fig	NOUN
fumecheng-11851	260	36	.	.	PUNCT
fumecheng-11851	260	37	5	5	NUM
fumecheng-11851	260	38	)	)	PUNCT
fumecheng-11851	260	39	.	.	PUNCT
fumecheng-11851	261	1	table	table	NOUN
fumecheng-11851	261	2	1	1	NUM
fumecheng-11851	261	3	material	material	NOUN
fumecheng-11851	261	4	properties	property	NOUN
fumecheng-11851	261	5	[	[	X
fumecheng-11851	261	6	34	34	NUM
fumecheng-11851	261	7	]	]	PUNCT
fumecheng-11851	261	8	material	material	NOUN
fumecheng-11851	261	9	properties	property	NOUN
fumecheng-11851	261	10	pzt	pzt	VERB
fumecheng-11851	261	11	g1195	g1195	ADJ
fumecheng-11851	261	12	piezolayer	piezolayer	NOUN
fumecheng-11851	261	13	t300/976	t300/976	NOUN
fumecheng-11851	261	14	graphite	graphite	NOUN
fumecheng-11851	261	15	/	/	SYM
fumecheng-11851	261	16	epoxy	epoxy	NOUN
fumecheng-11851	261	17	elastic	elastic	ADJ
fumecheng-11851	261	18	properties	property	NOUN
fumecheng-11851	261	19	y11	y11	NOUN
fumecheng-11851	261	20	(	(	PUNCT
fumecheng-11851	261	21	gpa	gpa	PROPN
fumecheng-11851	261	22	)	)	PUNCT
fumecheng-11851	261	23	63	63	NUM
fumecheng-11851	261	24	150	150	NUM
fumecheng-11851	261	25	y22	y22	PROPN
fumecheng-11851	261	26	(	(	PUNCT
fumecheng-11851	261	27	gpa	gpa	PROPN
fumecheng-11851	261	28	)	)	PUNCT
fumecheng-11851	261	29	63	63	NUM
fumecheng-11851	261	30	9	9	NUM
fumecheng-11851	261	31	12	12	ADJ
fumecheng-11851	261	32	0.3	0.3	NUM
fumecheng-11851	261	33	0.3	0.3	NUM
fumecheng-11851	261	34	g12	g12	NOUN
fumecheng-11851	261	35	(	(	PUNCT
fumecheng-11851	261	36	gpa	gpa	PROPN
fumecheng-11851	261	37	)	)	PUNCT
fumecheng-11851	261	38	24.2	24.2	NUM
fumecheng-11851	261	39	7.1	7.1	NUM
fumecheng-11851	261	40	piezoelectric	piezoelectric	NOUN
fumecheng-11851	261	41	properties	property	NOUN
fumecheng-11851	261	42	e31	e31	X
fumecheng-11851	261	43	(	(	PUNCT
fumecheng-11851	261	44	10	10	NUM
fumecheng-11851	261	45	-	-	SYM
fumecheng-11851	261	46	5	5	NUM
fumecheng-11851	261	47	c	c	NOUN
fumecheng-11851	261	48	/	/	SYM
fumecheng-11851	261	49	mm2	mm2	NOUN
fumecheng-11851	261	50	)	)	PUNCT
fumecheng-11851	261	51	2.286	2.286	NUM
fumecheng-11851	261	52	0	0	NUM
fumecheng-11851	261	53	e32	e32	NOUN
fumecheng-11851	261	54	(	(	PUNCT
fumecheng-11851	261	55	10	10	NUM
fumecheng-11851	261	56	-	-	SYM
fumecheng-11851	261	57	5	5	NUM
fumecheng-11851	261	58	c	c	NOUN
fumecheng-11851	261	59	/	/	SYM
fumecheng-11851	261	60	mm2	mm2	NOUN
fumecheng-11851	261	61	)	)	PUNCT
fumecheng-11851	261	62	2.286	2.286	NUM
fumecheng-11851	261	63	0	0	NUM
fumecheng-11851	261	64	fig	fig	NOUN
fumecheng-11851	261	65	.	.	PUNCT
fumecheng-11851	262	1	5	5	NUM
fumecheng-11851	262	2	initial	initial	ADJ
fumecheng-11851	262	3	flat	flat	ADJ
fumecheng-11851	262	4	structures	structure	NOUN
fumecheng-11851	262	5	,	,	PUNCT
fumecheng-11851	262	6	boundary	boundary	ADJ
fumecheng-11851	262	7	conditions	condition	NOUN
fumecheng-11851	262	8	and	and	CCONJ
fumecheng-11851	262	9	loads	load	NOUN
fumecheng-11851	262	10	figure	figure	VERB
fumecheng-11851	262	11	5	5	NUM
fumecheng-11851	262	12	shows	show	VERB
fumecheng-11851	262	13	the	the	DET
fumecheng-11851	262	14	three	three	NUM
fumecheng-11851	262	15	models	model	NOUN
fumecheng-11851	262	16	of	of	ADP
fumecheng-11851	262	17	the	the	DET
fumecheng-11851	262	18	considered	consider	VERB
fumecheng-11851	262	19	plate	plate	NOUN
fumecheng-11851	262	20	.	.	PUNCT
fumecheng-11851	263	1	due	due	ADP
fumecheng-11851	263	2	to	to	ADP
fumecheng-11851	263	3	the	the	DET
fumecheng-11851	263	4	kinematic	kinematic	ADJ
fumecheng-11851	263	5	and	and	CCONJ
fumecheng-11851	263	6	dynamic	dynamic	ADJ
fumecheng-11851	263	7	boundary	boundary	ADJ
fumecheng-11851	263	8	conditions	condition	NOUN
fumecheng-11851	263	9	,	,	PUNCT
fumecheng-11851	263	10	the	the	DET
fumecheng-11851	263	11	maximal	maximal	ADJ
fumecheng-11851	263	12	displacement	displacement	NOUN
fumecheng-11851	263	13	in	in	ADP
fumecheng-11851	263	14	the	the	DET
fumecheng-11851	263	15	first	first	ADJ
fumecheng-11851	263	16	case	case	NOUN
fumecheng-11851	263	17	would	would	AUX
fumecheng-11851	263	18	be	be	AUX
fumecheng-11851	263	19	larger	large	ADJ
fumecheng-11851	263	20	than	than	ADP
fumecheng-11851	263	21	in	in	ADP
fumecheng-11851	263	22	the	the	DET
fumecheng-11851	263	23	latter	latter	ADJ
fumecheng-11851	263	24	two	two	NUM
fumecheng-11851	263	25	for	for	ADP
fumecheng-11851	263	26	the	the	DET
fumecheng-11851	263	27	same	same	ADJ
fumecheng-11851	263	28	material	material	NOUN
fumecheng-11851	263	29	properties	property	NOUN
fumecheng-11851	263	30	and	and	CCONJ
fumecheng-11851	263	31	the	the	DET
fumecheng-11851	263	32	thickness	thickness	NOUN
fumecheng-11851	263	33	.	.	PUNCT
fumecheng-11851	264	1	the	the	DET
fumecheng-11851	264	2	first	first	ADJ
fumecheng-11851	264	3	model	model	NOUN
fumecheng-11851	264	4	is	be	AUX
fumecheng-11851	264	5	a	a	DET
fumecheng-11851	264	6	clamped	clamp	VERB
fumecheng-11851	264	7	plate	plate	NOUN
fumecheng-11851	264	8	with	with	ADP
fumecheng-11851	264	9	a	a	DET
fumecheng-11851	264	10	thickness	thickness	NOUN
fumecheng-11851	264	11	of	of	ADP
fumecheng-11851	264	12	5	5	NUM
fumecheng-11851	264	13	mm	mm	NOUN
fumecheng-11851	264	14	with	with	ADP
fumecheng-11851	264	15	a	a	DET
fumecheng-11851	264	16	load	load	NOUN
fumecheng-11851	264	17	at	at	ADP
fumecheng-11851	264	18	the	the	DET
fumecheng-11851	264	19	free	free	ADJ
fumecheng-11851	264	20	end	end	NOUN
fumecheng-11851	264	21	.	.	PUNCT
fumecheng-11851	265	1	the	the	DET
fumecheng-11851	265	2	thickness	thickness	NOUN
fumecheng-11851	265	3	of	of	ADP
fumecheng-11851	265	4	the	the	DET
fumecheng-11851	265	5	plate	plate	NOUN
fumecheng-11851	265	6	is	be	AUX
fumecheng-11851	265	7	chosen	choose	VERB
fumecheng-11851	265	8	so	so	SCONJ
fumecheng-11851	265	9	that	that	SCONJ
fumecheng-11851	265	10	an	an	DET
fumecheng-11851	265	11	obvious	obvious	ADJ
fumecheng-11851	265	12	non	non	ADJ
fumecheng-11851	265	13	-	-	ADJ
fumecheng-11851	265	14	linear	linear	ADJ
fumecheng-11851	265	15	effect	effect	NOUN
fumecheng-11851	265	16	occurs	occur	VERB
fumecheng-11851	265	17	.	.	PUNCT
fumecheng-11851	266	1	the	the	DET
fumecheng-11851	266	2	results	result	NOUN
fumecheng-11851	266	3	of	of	ADP
fumecheng-11851	266	4	linear	linear	ADJ
fumecheng-11851	266	5	and	and	CCONJ
fumecheng-11851	266	6	nonlinear	nonlinear	ADJ
fumecheng-11851	266	7	analysis	analysis	NOUN
fumecheng-11851	266	8	of	of	ADP
fumecheng-11851	266	9	this	this	DET
fumecheng-11851	266	10	model	model	NOUN
fumecheng-11851	266	11	are	be	AUX
fumecheng-11851	266	12	given	give	VERB
fumecheng-11851	266	13	in	in	ADP
fumecheng-11851	266	14	fig	fig	NOUN
fumecheng-11851	266	15	.	.	PUNCT
fumecheng-11851	267	1	6	6	NUM
fumecheng-11851	267	2	.	.	X
fumecheng-11851	267	3	fig	fig	NOUN
fumecheng-11851	267	4	.	.	PUNCT
fumecheng-11851	268	1	6a	6a	NOUN
fumecheng-11851	268	2	shows	show	VERB
fumecheng-11851	268	3	the	the	DET
fumecheng-11851	268	4	vertical	vertical	ADJ
fumecheng-11851	268	5	displacement	displacement	NOUN
fumecheng-11851	268	6	of	of	ADP
fumecheng-11851	268	7	the	the	DET
fumecheng-11851	268	8	free	free	ADJ
fumecheng-11851	268	9	edge	edge	NOUN
fumecheng-11851	268	10	mid	mid	NOUN
fumecheng-11851	268	11	-	-	NOUN
fumecheng-11851	268	12	point	point	NOUN
fumecheng-11851	268	13	(	(	PUNCT
fumecheng-11851	268	14	point	point	NOUN
fumecheng-11851	268	15	a	a	NOUN
fumecheng-11851	268	16	)	)	PUNCT
fumecheng-11851	268	17	,	,	PUNCT
fumecheng-11851	268	18	while	while	SCONJ
fumecheng-11851	268	19	fig	fig	NOUN
fumecheng-11851	268	20	.	.	PUNCT
fumecheng-11851	269	1	6b	6b	PROPN
fumecheng-11851	269	2	gives	give	VERB
fumecheng-11851	269	3	its	its	PRON
fumecheng-11851	269	4	displacement	displacement	NOUN
fumecheng-11851	269	5	in	in	ADP
fumecheng-11851	269	6	the	the	DET
fumecheng-11851	269	7	x	x	NOUN
fumecheng-11851	269	8	-	-	NOUN
fumecheng-11851	269	9	direction	direction	NOUN
fumecheng-11851	269	10	.	.	PUNCT
fumecheng-11851	270	1	the	the	DET
fumecheng-11851	270	2	latter	latter	ADJ
fumecheng-11851	270	3	result	result	NOUN
fumecheng-11851	270	4	is	be	AUX
fumecheng-11851	270	5	equal	equal	ADJ
fumecheng-11851	270	6	to	to	ADP
fumecheng-11851	270	7	zero	zero	NUM
fumecheng-11851	270	8	in	in	ADP
fumecheng-11851	270	9	the	the	DET
fumecheng-11851	270	10	linear	linear	ADJ
fumecheng-11851	270	11	analysis	analysis	NOUN
fumecheng-11851	270	12	.	.	PUNCT
fumecheng-11851	271	1	398	398	NUM
fumecheng-11851	271	2	p.	p.	NOUN
fumecheng-11851	271	3	milić	milić	NOUN
fumecheng-11851	271	4	,	,	PUNCT
fumecheng-11851	271	5	d.	d.	PROPN
fumecheng-11851	271	6	marinković	marinković	PROPN
fumecheng-11851	271	7	,	,	PUNCT
fumecheng-11851	271	8	ž	ž	PROPN
fumecheng-11851	271	9	.	.	PUNCT
fumecheng-11851	271	10	ćojbašić	ćojbašić	PROPN
fumecheng-11851	271	11	fig	fig	NOUN
fumecheng-11851	271	12	.	.	PUNCT
fumecheng-11851	272	1	6	6	NUM
fumecheng-11851	272	2	clamped	clamp	VERB
fumecheng-11851	272	3	structure	structure	NOUN
fumecheng-11851	272	4	-	-	PUNCT
fumecheng-11851	272	5	displacement	displacement	NOUN
fumecheng-11851	272	6	of	of	ADP
fumecheng-11851	272	7	free	free	ADJ
fumecheng-11851	272	8	edge	edge	NOUN
fumecheng-11851	272	9	mid	mid	NOUN
fumecheng-11851	272	10	-	-	NOUN
fumecheng-11851	272	11	point	point	NOUN
fumecheng-11851	272	12	in	in	ADP
fumecheng-11851	272	13	:	:	PUNCT
fumecheng-11851	272	14	a	a	X
fumecheng-11851	272	15	)	)	PUNCT
fumecheng-11851	272	16	vertical	vertical	ADJ
fumecheng-11851	272	17	direction	direction	NOUN
fumecheng-11851	272	18	,	,	PUNCT
fumecheng-11851	272	19	and	and	CCONJ
fumecheng-11851	272	20	b	b	X
fumecheng-11851	272	21	)	)	PUNCT
fumecheng-11851	272	22	in	in	ADP
fumecheng-11851	272	23	longitudinal	longitudinal	ADJ
fumecheng-11851	272	24	(	(	PUNCT
fumecheng-11851	272	25	x-)direction	x-)direction	NOUN
fumecheng-11851	272	26	the	the	DET
fumecheng-11851	272	27	latter	latter	ADJ
fumecheng-11851	272	28	two	two	NUM
fumecheng-11851	272	29	cases	case	NOUN
fumecheng-11851	272	30	deal	deal	VERB
fumecheng-11851	272	31	with	with	ADP
fumecheng-11851	272	32	the	the	DET
fumecheng-11851	272	33	structure	structure	NOUN
fumecheng-11851	272	34	simply	simply	ADV
fumecheng-11851	272	35	supported	support	VERB
fumecheng-11851	272	36	over	over	ADP
fumecheng-11851	272	37	the	the	DET
fumecheng-11851	272	38	opposite	opposite	ADJ
fumecheng-11851	272	39	two	two	NUM
fumecheng-11851	272	40	edges	edge	NOUN
fumecheng-11851	272	41	and	and	CCONJ
fumecheng-11851	272	42	with	with	SCONJ
fumecheng-11851	272	43	the	the	DET
fumecheng-11851	272	44	structure	structure	NOUN
fumecheng-11851	272	45	simply	simply	ADV
fumecheng-11851	272	46	supported	support	VERB
fumecheng-11851	272	47	over	over	ADP
fumecheng-11851	272	48	all	all	DET
fumecheng-11851	272	49	four	four	NUM
fumecheng-11851	272	50	edges	edge	NOUN
fumecheng-11851	272	51	.	.	PUNCT
fumecheng-11851	273	1	the	the	DET
fumecheng-11851	273	2	position	position	NOUN
fumecheng-11851	273	3	of	of	ADP
fumecheng-11851	273	4	the	the	DET
fumecheng-11851	273	5	load	load	NOUN
fumecheng-11851	273	6	was	be	AUX
fumecheng-11851	273	7	chosen	choose	VERB
fumecheng-11851	273	8	adequately	adequately	ADV
fumecheng-11851	273	9	so	so	SCONJ
fumecheng-11851	273	10	that	that	SCONJ
fumecheng-11851	273	11	,	,	PUNCT
fumecheng-11851	273	12	in	in	ADP
fumecheng-11851	273	13	the	the	DET
fumecheng-11851	273	14	first	first	ADJ
fumecheng-11851	273	15	case	case	NOUN
fumecheng-11851	273	16	,	,	PUNCT
fumecheng-11851	273	17	it	it	PRON
fumecheng-11851	273	18	is	be	AUX
fumecheng-11851	273	19	a	a	DET
fumecheng-11851	273	20	line	line	NOUN
fumecheng-11851	273	21	distributed	distribute	VERB
fumecheng-11851	273	22	force	force	NOUN
fumecheng-11851	273	23	acting	act	VERB
fumecheng-11851	273	24	over	over	ADP
fumecheng-11851	273	25	the	the	DET
fumecheng-11851	273	26	middle	middle	ADJ
fumecheng-11851	273	27	span	span	NOUN
fumecheng-11851	273	28	width	width	ADJ
fumecheng-11851	273	29	and	and	CCONJ
fumecheng-11851	273	30	,	,	PUNCT
fumecheng-11851	273	31	in	in	ADP
fumecheng-11851	273	32	the	the	DET
fumecheng-11851	273	33	second	second	ADJ
fumecheng-11851	273	34	case	case	NOUN
fumecheng-11851	273	35	,	,	PUNCT
fumecheng-11851	273	36	it	it	PRON
fumecheng-11851	273	37	is	be	AUX
fumecheng-11851	273	38	a	a	DET
fumecheng-11851	273	39	concentrated	concentrated	ADJ
fumecheng-11851	273	40	force	force	NOUN
fumecheng-11851	273	41	acting	act	VERB
fumecheng-11851	273	42	at	at	ADP
fumecheng-11851	273	43	the	the	DET
fumecheng-11851	273	44	structure	structure	NOUN
fumecheng-11851	273	45	mid	mid	NOUN
fumecheng-11851	273	46	-	-	NOUN
fumecheng-11851	273	47	point	point	NOUN
fumecheng-11851	273	48	.	.	PUNCT
fumecheng-11851	274	1	due	due	ADP
fumecheng-11851	274	2	to	to	ADP
fumecheng-11851	274	3	the	the	DET
fumecheng-11851	274	4	boundary	boundary	ADJ
fumecheng-11851	274	5	conditions	condition	NOUN
fumecheng-11851	274	6	,	,	PUNCT
fumecheng-11851	274	7	the	the	DET
fumecheng-11851	274	8	structural	structural	ADJ
fumecheng-11851	274	9	behavior	behavior	NOUN
fumecheng-11851	274	10	is	be	AUX
fumecheng-11851	274	11	significantly	significantly	ADV
fumecheng-11851	274	12	stiffer	stiff	ADJ
fumecheng-11851	274	13	compared	compare	VERB
fumecheng-11851	274	14	to	to	ADP
fumecheng-11851	274	15	the	the	DET
fumecheng-11851	274	16	first	first	ADJ
fumecheng-11851	274	17	case	case	NOUN
fumecheng-11851	274	18	.	.	PUNCT
fumecheng-11851	275	1	in	in	ADP
fumecheng-11851	275	2	order	order	NOUN
fumecheng-11851	275	3	to	to	PART
fumecheng-11851	275	4	have	have	AUX
fumecheng-11851	275	5	geometrically	geometrically	ADV
fumecheng-11851	275	6	nonlinear	nonlinear	ADJ
fumecheng-11851	275	7	effects	effect	NOUN
fumecheng-11851	275	8	,	,	PUNCT
fumecheng-11851	275	9	a	a	DET
fumecheng-11851	275	10	smaller	small	ADJ
fumecheng-11851	275	11	thickness	thickness	NOUN
fumecheng-11851	275	12	of	of	ADP
fumecheng-11851	275	13	3	3	NUM
fumecheng-11851	275	14	mm	mm	NOUN
fumecheng-11851	275	15	is	be	AUX
fumecheng-11851	275	16	chosen	choose	VERB
fumecheng-11851	275	17	.	.	PUNCT
fumecheng-11851	276	1	in	in	ADP
fumecheng-11851	276	2	the	the	DET
fumecheng-11851	276	3	second	second	ADJ
fumecheng-11851	276	4	example	example	NOUN
fumecheng-11851	276	5	,	,	PUNCT
fumecheng-11851	276	6	point	point	NOUN
fumecheng-11851	276	7	b	b	NOUN
fumecheng-11851	276	8	,	,	PUNCT
fumecheng-11851	276	9	i.e.	i.e.	X
fumecheng-11851	276	10	the	the	DET
fumecheng-11851	276	11	free	free	ADJ
fumecheng-11851	276	12	edge	edge	NOUN
fumecheng-11851	276	13	mid	mid	NOUN
fumecheng-11851	276	14	-	-	NOUN
fumecheng-11851	276	15	point	point	NOUN
fumecheng-11851	276	16	is	be	AUX
fumecheng-11851	276	17	chosen	choose	VERB
fumecheng-11851	276	18	as	as	ADP
fumecheng-11851	276	19	the	the	DET
fumecheng-11851	276	20	point	point	NOUN
fumecheng-11851	276	21	with	with	ADP
fumecheng-11851	276	22	the	the	DET
fumecheng-11851	276	23	largest	large	ADJ
fumecheng-11851	276	24	transverse	transverse	NOUN
fumecheng-11851	276	25	displacement	displacement	NOUN
fumecheng-11851	276	26	.	.	PUNCT
fumecheng-11851	277	1	the	the	DET
fumecheng-11851	277	2	maximal	maximal	ADJ
fumecheng-11851	277	3	transverse	transverse	NOUN
fumecheng-11851	277	4	displacement	displacement	NOUN
fumecheng-11851	277	5	of	of	ADP
fumecheng-11851	277	6	point	point	NOUN
fumecheng-11851	277	7	b	b	PROPN
fumecheng-11851	277	8	in	in	ADP
fumecheng-11851	277	9	linear	linear	NOUN
fumecheng-11851	277	10	and	and	CCONJ
fumecheng-11851	277	11	nonlinear	nonlinear	ADJ
fumecheng-11851	277	12	analysis	analysis	NOUN
fumecheng-11851	277	13	is	be	AUX
fumecheng-11851	277	14	given	give	VERB
fumecheng-11851	277	15	in	in	ADP
fumecheng-11851	277	16	fig	fig	NOUN
fumecheng-11851	277	17	.	.	PUNCT
fumecheng-11851	278	1	7a	7a	NUM
fumecheng-11851	278	2	.	.	PUNCT
fumecheng-11851	279	1	the	the	DET
fumecheng-11851	279	2	linear	linear	ADJ
fumecheng-11851	279	3	result	result	NOUN
fumecheng-11851	279	4	for	for	ADP
fumecheng-11851	279	5	the	the	DET
fumecheng-11851	279	6	displacement	displacement	NOUN
fumecheng-11851	279	7	in	in	ADP
fumecheng-11851	279	8	xand	xand	PROPN
fumecheng-11851	279	9	y	y	NOUN
fumecheng-11851	279	10	-	-	PUNCT
fumecheng-11851	279	11	direction	direction	NOUN
fumecheng-11851	279	12	of	of	ADP
fumecheng-11851	279	13	any	any	DET
fumecheng-11851	279	14	point	point	NOUN
fumecheng-11851	279	15	of	of	ADP
fumecheng-11851	279	16	the	the	DET
fumecheng-11851	279	17	plate	plate	NOUN
fumecheng-11851	279	18	is	be	AUX
fumecheng-11851	279	19	zero	zero	NUM
fumecheng-11851	279	20	.	.	PUNCT
fumecheng-11851	280	1	however	however	ADV
fumecheng-11851	280	2	,	,	PUNCT
fumecheng-11851	280	3	the	the	DET
fumecheng-11851	280	4	nonlinear	nonlinear	ADJ
fumecheng-11851	280	5	analysis	analysis	NOUN
fumecheng-11851	280	6	gives	give	VERB
fumecheng-11851	280	7	a	a	DET
fumecheng-11851	280	8	non	non	ADJ
fumecheng-11851	280	9	-	-	ADJ
fumecheng-11851	280	10	zero	zero	ADJ
fumecheng-11851	280	11	displacement	displacement	NOUN
fumecheng-11851	280	12	in	in	ADP
fumecheng-11851	280	13	the	the	DET
fumecheng-11851	280	14	y	y	NOUN
fumecheng-11851	280	15	-	-	PUNCT
fumecheng-11851	280	16	direction	direction	NOUN
fumecheng-11851	280	17	,	,	PUNCT
fumecheng-11851	280	18	as	as	SCONJ
fumecheng-11851	280	19	shown	show	VERB
fumecheng-11851	280	20	in	in	ADP
fumecheng-11851	280	21	fig	fig	NOUN
fumecheng-11851	280	22	.	.	PUNCT
fumecheng-11851	281	1	7b	7b	NUM
fumecheng-11851	281	2	.	.	PUNCT
fumecheng-11851	281	3	fig	fig	NOUN
fumecheng-11851	281	4	.	.	PUNCT
fumecheng-11851	282	1	7	7	NUM
fumecheng-11851	282	2	2	2	NUM
fumecheng-11851	282	3	-	-	PUNCT
fumecheng-11851	282	4	edge	edge	NOUN
fumecheng-11851	282	5	-	-	PUNCT
fumecheng-11851	282	6	simply	simply	ADV
fumecheng-11851	282	7	supported	support	VERB
fumecheng-11851	282	8	structure	structure	NOUN
fumecheng-11851	282	9	displacement	displacement	NOUN
fumecheng-11851	282	10	of	of	ADP
fumecheng-11851	282	11	free	free	ADJ
fumecheng-11851	282	12	edge	edge	NOUN
fumecheng-11851	282	13	mid	mid	NOUN
fumecheng-11851	282	14	-	-	NOUN
fumecheng-11851	282	15	point	point	NOUN
fumecheng-11851	282	16	in	in	ADP
fumecheng-11851	282	17	:	:	PUNCT
fumecheng-11851	282	18	a	a	X
fumecheng-11851	282	19	)	)	PUNCT
fumecheng-11851	282	20	vertical	vertical	ADJ
fumecheng-11851	282	21	direction	direction	NOUN
fumecheng-11851	282	22	and	and	CCONJ
fumecheng-11851	282	23	b	b	NOUN
fumecheng-11851	282	24	)	)	PUNCT
fumecheng-11851	282	25	in	in	ADP
fumecheng-11851	282	26	longitudinal	longitudinal	ADJ
fumecheng-11851	282	27	(	(	PUNCT
fumecheng-11851	282	28	y-)direction	y-)direction	NOUN
fumecheng-11851	282	29	in	in	ADP
fumecheng-11851	282	30	the	the	DET
fumecheng-11851	282	31	case	case	NOUN
fumecheng-11851	282	32	of	of	ADP
fumecheng-11851	282	33	a	a	DET
fumecheng-11851	282	34	structure	structure	NOUN
fumecheng-11851	282	35	with	with	ADP
fumecheng-11851	282	36	four	four	NUM
fumecheng-11851	282	37	simply	simply	ADV
fumecheng-11851	282	38	supported	support	VERB
fumecheng-11851	282	39	edges	edge	NOUN
fumecheng-11851	282	40	,	,	PUNCT
fumecheng-11851	282	41	the	the	DET
fumecheng-11851	282	42	mid	mid	NOUN
fumecheng-11851	282	43	-	-	NOUN
fumecheng-11851	282	44	point	point	NOUN
fumecheng-11851	282	45	of	of	ADP
fumecheng-11851	282	46	the	the	DET
fumecheng-11851	282	47	plate	plate	NOUN
fumecheng-11851	282	48	(	(	PUNCT
fumecheng-11851	282	49	point	point	NOUN
fumecheng-11851	282	50	c	c	NOUN
fumecheng-11851	282	51	)	)	PUNCT
fumecheng-11851	282	52	was	be	AUX
fumecheng-11851	282	53	chosen	choose	VERB
fumecheng-11851	282	54	as	as	ADP
fumecheng-11851	282	55	the	the	DET
fumecheng-11851	282	56	reference	reference	NOUN
fumecheng-11851	282	57	,	,	PUNCT
fumecheng-11851	282	58	fig	fig	NOUN
fumecheng-11851	282	59	.	.	PUNCT
fumecheng-11851	283	1	5c	5c	NOUN
fumecheng-11851	283	2	.	.	PUNCT
fumecheng-11851	284	1	due	due	ADP
fumecheng-11851	284	2	to	to	ADP
fumecheng-11851	284	3	the	the	DET
fumecheng-11851	284	4	susceptibility	susceptibility	NOUN
fumecheng-11851	284	5	to	to	PART
fumecheng-11851	284	6	shear	shear	VERB
fumecheng-11851	284	7	locking	locking	NOUN
fumecheng-11851	284	8	effect	effect	NOUN
fumecheng-11851	284	9	of	of	ADP
fumecheng-11851	284	10	the	the	DET
fumecheng-11851	284	11	ansys	ansys	PROPN
fumecheng-11851	284	12	shell91	shell91	PROPN
fumecheng-11851	284	13	element	element	NOUN
fumecheng-11851	284	14	,	,	PUNCT
fumecheng-11851	284	15	the	the	DET
fumecheng-11851	284	16	initial	initial	ADJ
fumecheng-11851	284	17	mesh	mesh	NOUN
fumecheng-11851	284	18	(	(	PUNCT
fumecheng-11851	284	19	4x4	4x4	NUM
fumecheng-11851	284	20	)	)	PUNCT
fumecheng-11851	284	21	was	be	AUX
fumecheng-11851	284	22	corrected	correct	VERB
fumecheng-11851	284	23	to	to	ADP
fumecheng-11851	284	24	2020	2020	PROPN
fumecheng-11851	284	25	elements	element	NOUN
fumecheng-11851	284	26	to	to	PART
fumecheng-11851	284	27	provide	provide	VERB
fumecheng-11851	284	28	accuracy	accuracy	NOUN
fumecheng-11851	284	29	comparable	comparable	ADJ
fumecheng-11851	284	30	with	with	ADP
fumecheng-11851	284	31	the	the	DET
fumecheng-11851	284	32	acshell9	acshell9	PROPN
fumecheng-11851	284	33	and	and	CCONJ
fumecheng-11851	284	34	nurbs	nurb	NOUN
fumecheng-11851	284	35	finite	finite	ADJ
fumecheng-11851	284	36	elements	element	NOUN
fumecheng-11851	284	37	,	,	PUNCT
fumecheng-11851	284	38	which	which	PRON
fumecheng-11851	284	39	use	use	VERB
fumecheng-11851	284	40	a	a	DET
fumecheng-11851	284	41	44	44	NUM
fumecheng-11851	284	42	mesh	mesh	NOUN
fumecheng-11851	284	43	.	.	PUNCT
fumecheng-11851	285	1	both	both	PRON
fumecheng-11851	285	2	,	,	PUNCT
fumecheng-11851	285	3	linear	linear	ADJ
fumecheng-11851	285	4	and	and	CCONJ
fumecheng-11851	285	5	nonlinear	nonlinear	ADJ
fumecheng-11851	285	6	prediction	prediction	NOUN
fumecheng-11851	285	7	yield	yield	NOUN
fumecheng-11851	285	8	only	only	ADV
fumecheng-11851	285	9	the	the	DET
fumecheng-11851	285	10	transverse	transverse	NOUN
fumecheng-11851	285	11	deflection	deflection	NOUN
fumecheng-11851	285	12	of	of	ADP
fumecheng-11851	285	13	the	the	DET
fumecheng-11851	285	14	observed	observe	VERB
fumecheng-11851	285	15	point	point	NOUN
fumecheng-11851	285	16	fig	fig	NOUN
fumecheng-11851	285	17	8	8	NUM
fumecheng-11851	285	18	.	.	PUNCT
fumecheng-11851	285	19	geometrically	geometrically	ADV
fumecheng-11851	285	20	nonlinear	nonlinear	VERB
fumecheng-11851	285	21	analysis	analysis	NOUN
fumecheng-11851	285	22	of	of	ADP
fumecheng-11851	285	23	piezoelectric	piezoelectric	ADJ
fumecheng-11851	285	24	active	active	ADJ
fumecheng-11851	285	25	laminated	laminate	VERB
fumecheng-11851	285	26	shells	shell	NOUN
fumecheng-11851	285	27	by	by	ADP
fumecheng-11851	285	28	means	mean	NOUN
fumecheng-11851	285	29	of	of	ADP
fumecheng-11851	285	30	isogeometric	isogeometric	NOUN
fumecheng-11851	285	31	...	...	PUNCT
fumecheng-11851	285	32	399	399	NUM
fumecheng-11851	285	33	fig	fig	NOUN
fumecheng-11851	285	34	.	.	PUNCT
fumecheng-11851	286	1	8	8	NUM
fumecheng-11851	286	2	4	4	NUM
fumecheng-11851	286	3	-	-	PUNCT
fumecheng-11851	286	4	edges	edge	NOUN
fumecheng-11851	286	5	-	-	PUNCT
fumecheng-11851	286	6	simply	simply	ADV
fumecheng-11851	286	7	supported	support	VERB
fumecheng-11851	286	8	structure	structure	NOUN
fumecheng-11851	286	9	:	:	PUNCT
fumecheng-11851	286	10	structure	structure	NOUN
fumecheng-11851	286	11	mid	mid	ADJ
fumecheng-11851	286	12	-	-	ADJ
fumecheng-11851	286	13	point	point	ADJ
fumecheng-11851	286	14	vertical	vertical	ADJ
fumecheng-11851	286	15	displacement	displacement	NOUN
fumecheng-11851	286	16	in	in	ADP
fumecheng-11851	286	17	all	all	DET
fumecheng-11851	286	18	three	three	NUM
fumecheng-11851	286	19	considered	consider	VERB
fumecheng-11851	286	20	cases	case	NOUN
fumecheng-11851	286	21	the	the	DET
fumecheng-11851	286	22	initial	initial	ADJ
fumecheng-11851	286	23	geometry	geometry	NOUN
fumecheng-11851	286	24	is	be	AUX
fumecheng-11851	286	25	a	a	DET
fumecheng-11851	286	26	plate	plate	NOUN
fumecheng-11851	286	27	and	and	CCONJ
fumecheng-11851	286	28	the	the	DET
fumecheng-11851	286	29	applied	apply	VERB
fumecheng-11851	286	30	loads	load	NOUN
fumecheng-11851	286	31	are	be	AUX
fumecheng-11851	286	32	such	such	ADJ
fumecheng-11851	286	33	that	that	SCONJ
fumecheng-11851	286	34	the	the	DET
fumecheng-11851	286	35	linear	linear	ADJ
fumecheng-11851	286	36	prediction	prediction	NOUN
fumecheng-11851	286	37	involves	involve	VERB
fumecheng-11851	286	38	only	only	ADV
fumecheng-11851	286	39	flexural	flexural	ADJ
fumecheng-11851	286	40	and	and	CCONJ
fumecheng-11851	286	41	shearing	shearing	NOUN
fumecheng-11851	286	42	strains	strain	NOUN
fumecheng-11851	286	43	(	(	PUNCT
fumecheng-11851	286	44	no	no	DET
fumecheng-11851	286	45	membrane	membrane	NOUN
fumecheng-11851	286	46	strains	strain	NOUN
fumecheng-11851	286	47	)	)	PUNCT
fumecheng-11851	286	48	.	.	PUNCT
fumecheng-11851	287	1	however	however	ADV
fumecheng-11851	287	2	,	,	PUNCT
fumecheng-11851	287	3	with	with	ADP
fumecheng-11851	287	4	progressing	progress	VERB
fumecheng-11851	287	5	nonlinearity	nonlinearity	NOUN
fumecheng-11851	287	6	,	,	PUNCT
fumecheng-11851	287	7	the	the	DET
fumecheng-11851	287	8	membrane	membrane	NOUN
fumecheng-11851	287	9	strains	strain	NOUN
fumecheng-11851	287	10	are	be	AUX
fumecheng-11851	287	11	also	also	ADV
fumecheng-11851	287	12	induced	induce	VERB
fumecheng-11851	287	13	as	as	SCONJ
fumecheng-11851	287	14	the	the	DET
fumecheng-11851	287	15	configuration	configuration	NOUN
fumecheng-11851	287	16	changes	change	NOUN
fumecheng-11851	287	17	are	be	AUX
fumecheng-11851	287	18	taken	take	VERB
fumecheng-11851	287	19	into	into	ADP
fumecheng-11851	287	20	account	account	NOUN
fumecheng-11851	287	21	.	.	PUNCT
fumecheng-11851	288	1	it	it	PRON
fumecheng-11851	288	2	is	be	AUX
fumecheng-11851	288	3	obvious	obvious	ADJ
fumecheng-11851	288	4	and	and	CCONJ
fumecheng-11851	288	5	expected	expect	VERB
fumecheng-11851	288	6	that	that	SCONJ
fumecheng-11851	288	7	the	the	DET
fumecheng-11851	288	8	effect	effect	NOUN
fumecheng-11851	288	9	of	of	ADP
fumecheng-11851	288	10	nonlinearity	nonlinearity	NOUN
fumecheng-11851	288	11	is	be	AUX
fumecheng-11851	288	12	the	the	DET
fumecheng-11851	288	13	least	least	ADJ
fumecheng-11851	288	14	pronounced	pronounce	VERB
fumecheng-11851	288	15	in	in	ADP
fumecheng-11851	288	16	the	the	DET
fumecheng-11851	288	17	case	case	NOUN
fumecheng-11851	288	18	of	of	ADP
fumecheng-11851	288	19	a	a	DET
fumecheng-11851	288	20	clamped	clamp	VERB
fumecheng-11851	288	21	structure	structure	NOUN
fumecheng-11851	288	22	.	.	PUNCT
fumecheng-11851	289	1	the	the	DET
fumecheng-11851	289	2	model	model	NOUN
fumecheng-11851	289	3	with	with	ADP
fumecheng-11851	289	4	the	the	DET
fumecheng-11851	289	5	nurbs	nurbs	NOUN
fumecheng-11851	289	6	elements	element	NOUN
fumecheng-11851	289	7	in	in	ADP
fumecheng-11851	289	8	the	the	DET
fumecheng-11851	289	9	previously	previously	ADV
fumecheng-11851	289	10	shown	show	VERB
fumecheng-11851	289	11	examples	example	NOUN
fumecheng-11851	289	12	has	have	VERB
fumecheng-11851	289	13	a	a	DET
fumecheng-11851	289	14	very	very	ADV
fumecheng-11851	289	15	good	good	ADJ
fumecheng-11851	289	16	agreement	agreement	NOUN
fumecheng-11851	289	17	with	with	ADP
fumecheng-11851	289	18	the	the	DET
fumecheng-11851	289	19	results	result	NOUN
fumecheng-11851	289	20	obtained	obtain	VERB
fumecheng-11851	289	21	with	with	ADP
fumecheng-11851	289	22	the	the	DET
fumecheng-11851	289	23	other	other	ADJ
fumecheng-11851	289	24	considered	consider	VERB
fumecheng-11851	289	25	elements	element	NOUN
fumecheng-11851	289	26	.	.	PUNCT
fumecheng-11851	290	1	the	the	DET
fumecheng-11851	290	2	first	first	ADJ
fumecheng-11851	290	3	two	two	NUM
fumecheng-11851	290	4	plate	plate	NOUN
fumecheng-11851	290	5	models	model	NOUN
fumecheng-11851	290	6	are	be	AUX
fumecheng-11851	290	7	further	far	ADV
fumecheng-11851	290	8	used	use	VERB
fumecheng-11851	290	9	to	to	PART
fumecheng-11851	290	10	illustrate	illustrate	VERB
fumecheng-11851	290	11	piezoelectric	piezoelectric	ADJ
fumecheng-11851	290	12	actuation	actuation	NOUN
fumecheng-11851	290	13	of	of	ADP
fumecheng-11851	290	14	the	the	DET
fumecheng-11851	290	15	structure	structure	NOUN
fumecheng-11851	290	16	in	in	ADP
fumecheng-11851	290	17	the	the	DET
fumecheng-11851	290	18	realm	realm	NOUN
fumecheng-11851	290	19	of	of	ADP
fumecheng-11851	290	20	nonlinear	nonlinear	ADJ
fumecheng-11851	290	21	deformations	deformation	NOUN
fumecheng-11851	290	22	.	.	PUNCT
fumecheng-11851	291	1	the	the	DET
fumecheng-11851	291	2	observed	observed	ADJ
fumecheng-11851	291	3	structures	structure	NOUN
fumecheng-11851	291	4	are	be	AUX
fumecheng-11851	291	5	considered	consider	VERB
fumecheng-11851	291	6	to	to	PART
fumecheng-11851	291	7	be	be	AUX
fumecheng-11851	291	8	made	make	VERB
fumecheng-11851	291	9	of	of	ADP
fumecheng-11851	291	10	three	three	NUM
fumecheng-11851	291	11	layers	layer	NOUN
fumecheng-11851	291	12	.	.	PUNCT
fumecheng-11851	292	1	the	the	DET
fumecheng-11851	292	2	outer	outer	ADJ
fumecheng-11851	292	3	layers	layer	NOUN
fumecheng-11851	292	4	are	be	AUX
fumecheng-11851	292	5	made	make	VERB
fumecheng-11851	292	6	of	of	ADP
fumecheng-11851	292	7	pzt	pzt	NOUN
fumecheng-11851	292	8	material	material	NOUN
fumecheng-11851	292	9	(	(	PUNCT
fumecheng-11851	292	10	tab	tab	NOUN
fumecheng-11851	292	11	.	.	NOUN
fumecheng-11851	292	12	1	1	NUM
fumecheng-11851	292	13	)	)	PUNCT
fumecheng-11851	292	14	and	and	CCONJ
fumecheng-11851	292	15	the	the	DET
fumecheng-11851	292	16	middle	middle	ADJ
fumecheng-11851	292	17	layer	layer	NOUN
fumecheng-11851	292	18	is	be	AUX
fumecheng-11851	292	19	made	make	VERB
fumecheng-11851	292	20	of	of	ADP
fumecheng-11851	292	21	graphite	graphite	NOUN
fumecheng-11851	292	22	-	-	PUNCT
fumecheng-11851	292	23	epoxy	epoxy	NOUN
fumecheng-11851	292	24	material	material	NOUN
fumecheng-11851	292	25	with	with	ADP
fumecheng-11851	292	26	a	a	DET
fumecheng-11851	292	27	fiber	fiber	NOUN
fumecheng-11851	292	28	orientation	orientation	NOUN
fumecheng-11851	292	29	of	of	ADP
fumecheng-11851	292	30	90	90	NOUN
fumecheng-11851	292	31	with	with	ADP
fumecheng-11851	292	32	respect	respect	NOUN
fumecheng-11851	292	33	to	to	ADP
fumecheng-11851	292	34	the	the	DET
fumecheng-11851	292	35	global	global	ADJ
fumecheng-11851	292	36	x	x	NOUN
fumecheng-11851	292	37	-	-	NOUN
fumecheng-11851	292	38	axis	axis	ADJ
fumecheng-11851	292	39	.	.	PUNCT
fumecheng-11851	293	1	given	give	VERB
fumecheng-11851	293	2	that	that	SCONJ
fumecheng-11851	293	3	the	the	DET
fumecheng-11851	293	4	piezo	piezo	PROPN
fumecheng-11851	293	5	layer	layer	NOUN
fumecheng-11851	293	6	has	have	AUX
fumecheng-11851	293	7	a	a	DET
fumecheng-11851	293	8	relatively	relatively	ADV
fumecheng-11851	293	9	small	small	ADJ
fumecheng-11851	293	10	actuation	actuation	NOUN
fumecheng-11851	293	11	,	,	PUNCT
fumecheng-11851	293	12	the	the	DET
fumecheng-11851	293	13	aforementioned	aforementioned	ADJ
fumecheng-11851	293	14	models	model	NOUN
fumecheng-11851	293	15	should	should	AUX
fumecheng-11851	293	16	be	be	AUX
fumecheng-11851	293	17	modified	modify	VERB
fumecheng-11851	293	18	in	in	ADP
fumecheng-11851	293	19	order	order	NOUN
fumecheng-11851	293	20	to	to	PART
fumecheng-11851	293	21	produce	produce	VERB
fumecheng-11851	293	22	a	a	DET
fumecheng-11851	293	23	geometrically	geometrically	ADV
fumecheng-11851	293	24	nonlinear	nonlinear	ADJ
fumecheng-11851	293	25	effect	effect	NOUN
fumecheng-11851	293	26	.	.	PUNCT
fumecheng-11851	294	1	for	for	ADP
fumecheng-11851	294	2	this	this	DET
fumecheng-11851	294	3	reason	reason	NOUN
fumecheng-11851	294	4	,	,	PUNCT
fumecheng-11851	294	5	a	a	DET
fumecheng-11851	294	6	thickness	thickness	NOUN
fumecheng-11851	294	7	of	of	ADP
fumecheng-11851	294	8	0.15	0.15	NUM
fumecheng-11851	294	9	mm	mm	NOUN
fumecheng-11851	294	10	is	be	AUX
fumecheng-11851	294	11	assigned	assign	VERB
fumecheng-11851	294	12	to	to	ADP
fumecheng-11851	294	13	the	the	DET
fumecheng-11851	294	14	piezo	piezo	PROPN
fumecheng-11851	294	15	layers	layer	NOUN
fumecheng-11851	294	16	have	have	AUX
fumecheng-11851	294	17	and	and	CCONJ
fumecheng-11851	294	18	the	the	DET
fumecheng-11851	294	19	thickness	thickness	NOUN
fumecheng-11851	294	20	of	of	ADP
fumecheng-11851	294	21	0.2	0.2	NUM
fumecheng-11851	294	22	mm	mm	NOUN
fumecheng-11851	294	23	to	to	ADP
fumecheng-11851	294	24	the	the	DET
fumecheng-11851	294	25	composite	composite	ADJ
fumecheng-11851	294	26	layer	layer	NOUN
fumecheng-11851	294	27	.	.	PUNCT
fumecheng-11851	295	1	the	the	DET
fumecheng-11851	295	2	piezolayers	piezolayer	NOUN
fumecheng-11851	295	3	are	be	AUX
fumecheng-11851	295	4	oppositely	oppositely	ADV
fumecheng-11851	295	5	polarized	polarize	VERB
fumecheng-11851	295	6	,	,	PUNCT
fumecheng-11851	295	7	so	so	SCONJ
fumecheng-11851	295	8	that	that	SCONJ
fumecheng-11851	295	9	their	their	PRON
fumecheng-11851	295	10	actuation	actuation	NOUN
fumecheng-11851	295	11	forms	form	VERB
fumecheng-11851	295	12	a	a	DET
fumecheng-11851	295	13	moment	moment	NOUN
fumecheng-11851	295	14	equally	equally	ADV
fumecheng-11851	295	15	distributed	distribute	VERB
fumecheng-11851	295	16	along	along	ADP
fumecheng-11851	295	17	the	the	DET
fumecheng-11851	295	18	edges	edge	NOUN
fumecheng-11851	295	19	of	of	ADP
fumecheng-11851	295	20	the	the	DET
fumecheng-11851	295	21	plate	plate	NOUN
fumecheng-11851	295	22	.	.	PUNCT
fumecheng-11851	296	1	a	a	DET
fumecheng-11851	296	2	voltage	voltage	NOUN
fumecheng-11851	296	3	of	of	ADP
fumecheng-11851	296	4	300v	300v	PROPN
fumecheng-11851	296	5	is	be	AUX
fumecheng-11851	296	6	supplied	supply	VERB
fumecheng-11851	296	7	to	to	ADP
fumecheng-11851	296	8	both	both	DET
fumecheng-11851	296	9	piezolayers	piezolayer	NOUN
fumecheng-11851	296	10	.	.	PUNCT
fumecheng-11851	297	1	the	the	DET
fumecheng-11851	297	2	fiber	fiber	NOUN
fumecheng-11851	297	3	orientation	orientation	NOUN
fumecheng-11851	297	4	is	be	AUX
fumecheng-11851	297	5	chosen	choose	VERB
fumecheng-11851	297	6	so	so	SCONJ
fumecheng-11851	297	7	that	that	SCONJ
fumecheng-11851	297	8	the	the	DET
fumecheng-11851	297	9	structure	structure	NOUN
fumecheng-11851	297	10	has	have	VERB
fumecheng-11851	297	11	a	a	DET
fumecheng-11851	297	12	lower	low	ADJ
fumecheng-11851	297	13	bending	bend	VERB
fumecheng-11851	297	14	stiffness	stiffness	NOUN
fumecheng-11851	297	15	about	about	ADP
fumecheng-11851	297	16	the	the	DET
fumecheng-11851	297	17	y	y	NOUN
fumecheng-11851	297	18	-	-	PUNCT
fumecheng-11851	297	19	axis	axis	NOUN
fumecheng-11851	297	20	than	than	ADP
fumecheng-11851	297	21	the	the	DET
fumecheng-11851	297	22	bending	bend	VERB
fumecheng-11851	297	23	stiffness	stiffness	NOUN
fumecheng-11851	297	24	about	about	ADP
fumecheng-11851	297	25	the	the	DET
fumecheng-11851	297	26	x	x	NOUN
fumecheng-11851	297	27	-	-	NOUN
fumecheng-11851	297	28	axis	axis	NOUN
fumecheng-11851	297	29	.	.	PUNCT
fumecheng-11851	298	1	the	the	DET
fumecheng-11851	298	2	induced	induce	VERB
fumecheng-11851	298	3	piezo	piezo	ADJ
fumecheng-11851	298	4	-	-	ADJ
fumecheng-11851	298	5	electric	electric	ADJ
fumecheng-11851	298	6	coupling	coupling	NOUN
fumecheng-11851	298	7	forces	force	NOUN
fumecheng-11851	298	8	are	be	AUX
fumecheng-11851	298	9	configuration	configuration	NOUN
fumecheng-11851	298	10	dependent	dependent	ADJ
fumecheng-11851	298	11	.	.	PUNCT
fumecheng-11851	299	1	the	the	DET
fumecheng-11851	299	2	new	new	ADJ
fumecheng-11851	299	3	increment	increment	NOUN
fumecheng-11851	299	4	of	of	ADP
fumecheng-11851	299	5	the	the	DET
fumecheng-11851	299	6	actuating	actuate	VERB
fumecheng-11851	299	7	bending	bend	VERB
fumecheng-11851	299	8	moments	moment	NOUN
fumecheng-11851	299	9	is	be	AUX
fumecheng-11851	299	10	calculated	calculate	VERB
fumecheng-11851	299	11	based	base	VERB
fumecheng-11851	299	12	on	on	ADP
fumecheng-11851	299	13	the	the	DET
fumecheng-11851	299	14	piezo	piezo	PROPN
fumecheng-11851	299	15	-	-	ADJ
fumecheng-11851	299	16	electric	electric	ADJ
fumecheng-11851	299	17	coupling	couple	VERB
fumecheng-11851	299	18	stiffness	stiffness	NOUN
fumecheng-11851	299	19	matrix	matrix	NOUN
fumecheng-11851	299	20	by	by	ADP
fumecheng-11851	299	21	performing	perform	VERB
fumecheng-11851	299	22	its	its	PRON
fumecheng-11851	299	23	integration	integration	NOUN
fumecheng-11851	299	24	over	over	ADP
fumecheng-11851	299	25	the	the	DET
fumecheng-11851	299	26	actual	actual	ADJ
fumecheng-11851	299	27	structural	structural	ADJ
fumecheng-11851	299	28	configuration	configuration	NOUN
fumecheng-11851	299	29	.	.	PUNCT
fumecheng-11851	300	1	the	the	DET
fumecheng-11851	300	2	direction	direction	NOUN
fumecheng-11851	300	3	and	and	CCONJ
fumecheng-11851	300	4	intensity	intensity	NOUN
fumecheng-11851	300	5	of	of	ADP
fumecheng-11851	300	6	the	the	DET
fumecheng-11851	300	7	induced	induce	VERB
fumecheng-11851	300	8	loads	load	NOUN
fumecheng-11851	300	9	depends	depend	VERB
fumecheng-11851	300	10	on	on	ADP
fumecheng-11851	300	11	the	the	DET
fumecheng-11851	300	12	current	current	ADJ
fumecheng-11851	300	13	configuration	configuration	NOUN
fumecheng-11851	300	14	(	(	PUNCT
fumecheng-11851	300	15	follower	follower	NOUN
fumecheng-11851	300	16	forces	force	NOUN
fumecheng-11851	300	17	)	)	PUNCT
fumecheng-11851	300	18	.	.	PUNCT
fumecheng-11851	301	1	the	the	DET
fumecheng-11851	301	2	follower	follower	NOUN
fumecheng-11851	301	3	nature	nature	NOUN
fumecheng-11851	301	4	of	of	ADP
fumecheng-11851	301	5	the	the	DET
fumecheng-11851	301	6	induced	induced	ADJ
fumecheng-11851	301	7	forces	force	NOUN
fumecheng-11851	301	8	/	/	SYM
fumecheng-11851	301	9	moments	moment	NOUN
fumecheng-11851	301	10	demands	demand	VERB
fumecheng-11851	301	11	small	small	ADJ
fumecheng-11851	301	12	increments	increment	NOUN
fumecheng-11851	302	1	[	[	X
fumecheng-11851	302	2	33	33	NUM
fumecheng-11851	302	3	]	]	PUNCT
fumecheng-11851	302	4	of	of	ADP
fumecheng-11851	302	5	the	the	DET
fumecheng-11851	302	6	electric	electric	ADJ
fumecheng-11851	302	7	voltage	voltage	NOUN
fumecheng-11851	302	8	.	.	PUNCT
fumecheng-11851	303	1	an	an	DET
fumecheng-11851	303	2	approximate	approximate	ADJ
fumecheng-11851	303	3	approach	approach	NOUN
fumecheng-11851	303	4	is	be	AUX
fumecheng-11851	303	5	also	also	ADV
fumecheng-11851	303	6	used	use	VERB
fumecheng-11851	303	7	by	by	ADP
fumecheng-11851	303	8	treating	treat	VERB
fumecheng-11851	303	9	the	the	DET
fumecheng-11851	303	10	cases	case	NOUN
fumecheng-11851	303	11	as	as	ADP
fumecheng-11851	303	12	purely	purely	ADV
fumecheng-11851	303	13	mechanical	mechanical	ADJ
fumecheng-11851	303	14	with	with	ADP
fumecheng-11851	303	15	the	the	DET
fumecheng-11851	303	16	loads	load	NOUN
fumecheng-11851	303	17	that	that	PRON
fumecheng-11851	303	18	are	be	AUX
fumecheng-11851	303	19	not	not	PART
fumecheng-11851	303	20	of	of	ADP
fumecheng-11851	303	21	the	the	DET
fumecheng-11851	303	22	follower	follower	NOUN
fumecheng-11851	303	23	type	type	NOUN
fumecheng-11851	303	24	.	.	PUNCT
fumecheng-11851	304	1	to	to	PART
fumecheng-11851	304	2	achieve	achieve	VERB
fumecheng-11851	304	3	this	this	PRON
fumecheng-11851	304	4	,	,	PUNCT
fumecheng-11851	304	5	a	a	DET
fumecheng-11851	304	6	full	full	ADJ
fumecheng-11851	304	7	voltage	voltage	NOUN
fumecheng-11851	304	8	of	of	ADP
fumecheng-11851	304	9	300	300	NUM
fumecheng-11851	304	10	v	v	NOUN
fumecheng-11851	304	11	is	be	AUX
fumecheng-11851	304	12	applied	apply	VERB
fumecheng-11851	304	13	to	to	ADP
fumecheng-11851	304	14	the	the	DET
fumecheng-11851	304	15	initial	initial	ADJ
fumecheng-11851	304	16	structure	structure	NOUN
fumecheng-11851	304	17	and	and	CCONJ
fumecheng-11851	304	18	the	the	DET
fumecheng-11851	304	19	bending	bend	VERB
fumecheng-11851	304	20	moments	moment	NOUN
fumecheng-11851	304	21	are	be	AUX
fumecheng-11851	304	22	computed	compute	VERB
fumecheng-11851	304	23	.	.	PUNCT
fumecheng-11851	305	1	the	the	DET
fumecheng-11851	305	2	calculated	calculate	VERB
fumecheng-11851	305	3	moment	moment	NOUN
fumecheng-11851	305	4	is	be	AUX
fumecheng-11851	305	5	then	then	ADV
fumecheng-11851	305	6	applied	apply	VERB
fumecheng-11851	305	7	in	in	ADP
fumecheng-11851	305	8	increments.the	increments.the	DET
fumecheng-11851	305	9	calculations	calculation	NOUN
fumecheng-11851	305	10	done	do	VERB
fumecheng-11851	305	11	with	with	ADP
fumecheng-11851	305	12	the	the	DET
fumecheng-11851	305	13	acshell9	acshell9	PROPN
fumecheng-11851	305	14	and	and	CCONJ
fumecheng-11851	305	15	nurbs	nurbs	PROPN
fumecheng-11851	305	16	finite	finite	PROPN
fumecheng-11851	305	17	element	element	NOUN
fumecheng-11851	305	18	yield	yield	VERB
fumecheng-11851	305	19	small	small	ADJ
fumecheng-11851	305	20	differences	difference	NOUN
fumecheng-11851	305	21	(	(	PUNCT
fumecheng-11851	305	22	in	in	ADP
fumecheng-11851	305	23	the	the	DET
fumecheng-11851	305	24	order	order	NOUN
fumecheng-11851	305	25	of	of	ADP
fumecheng-11851	305	26	10	10	NUM
fumecheng-11851	305	27	-	-	SYM
fumecheng-11851	305	28	1	1	NUM
fumecheng-11851	305	29	%	%	NOUN
fumecheng-11851	305	30	)	)	PUNCT
fumecheng-11851	305	31	.	.	PUNCT
fumecheng-11851	306	1	400	400	NUM
fumecheng-11851	306	2	p.	p.	NOUN
fumecheng-11851	306	3	milić	milić	NOUN
fumecheng-11851	306	4	,	,	PUNCT
fumecheng-11851	306	5	d.	d.	PROPN
fumecheng-11851	306	6	marinković	marinković	PROPN
fumecheng-11851	306	7	,	,	PUNCT
fumecheng-11851	306	8	ž	ž	PROPN
fumecheng-11851	306	9	.	.	PUNCT
fumecheng-11851	306	10	ćojbašić	ćojbašić	PROPN
fumecheng-11851	306	11	fig	fig	NOUN
fumecheng-11851	306	12	.	.	PUNCT
fumecheng-11851	307	1	9	9	NUM
fumecheng-11851	307	2	initial	initial	ADJ
fumecheng-11851	307	3	geometry	geometry	NOUN
fumecheng-11851	307	4	and	and	CCONJ
fumecheng-11851	307	5	boundary	boundary	ADJ
fumecheng-11851	307	6	conditions	condition	NOUN
fumecheng-11851	307	7	the	the	DET
fumecheng-11851	307	8	diagrams	diagram	NOUN
fumecheng-11851	307	9	in	in	ADP
fumecheng-11851	307	10	fig	fig	NOUN
fumecheng-11851	307	11	.	.	PUNCT
fumecheng-11851	308	1	10	10	NUM
fumecheng-11851	308	2	are	be	AUX
fumecheng-11851	308	3	obtained	obtain	VERB
fumecheng-11851	308	4	by	by	ADP
fumecheng-11851	308	5	means	mean	NOUN
fumecheng-11851	308	6	of	of	ADP
fumecheng-11851	308	7	the	the	DET
fumecheng-11851	308	8	acshell9	acshell9	PROPN
fumecheng-11851	308	9	and	and	CCONJ
fumecheng-11851	308	10	nurbs	nurb	NOUN
fumecheng-11851	308	11	diagrams	diagram	NOUN
fumecheng-11851	308	12	using	use	VERB
fumecheng-11851	308	13	incremental	incremental	ADJ
fumecheng-11851	308	14	voltages	voltage	NOUN
fumecheng-11851	308	15	.	.	PUNCT
fumecheng-11851	309	1	the	the	DET
fumecheng-11851	309	2	purely	purely	ADV
fumecheng-11851	309	3	mechanical	mechanical	ADJ
fumecheng-11851	309	4	case	case	NOUN
fumecheng-11851	309	5	with	with	ADP
fumecheng-11851	309	6	he	he	PRON
fumecheng-11851	309	7	predefined	predefine	VERB
fumecheng-11851	309	8	moments	moment	NOUN
fumecheng-11851	309	9	is	be	AUX
fumecheng-11851	309	10	coputed	copute	VERB
fumecheng-11851	309	11	using	use	VERB
fumecheng-11851	309	12	the	the	DET
fumecheng-11851	309	13	shell91	shell91	NOUN
fumecheng-11851	309	14	element	element	NOUN
fumecheng-11851	309	15	.	.	PUNCT
fumecheng-11851	310	1	those	those	DET
fumecheng-11851	310	2	results	result	NOUN
fumecheng-11851	310	3	are	be	AUX
fumecheng-11851	310	4	also	also	ADV
fumecheng-11851	310	5	included	include	VERB
fumecheng-11851	310	6	in	in	ADP
fumecheng-11851	310	7	the	the	DET
fumecheng-11851	310	8	diagrams	diagram	NOUN
fumecheng-11851	310	9	.	.	PUNCT
fumecheng-11851	311	1	in	in	ADP
fumecheng-11851	311	2	the	the	DET
fumecheng-11851	311	3	clamped	clamp	VERB
fumecheng-11851	311	4	structure	structure	NOUN
fumecheng-11851	311	5	model	model	NOUN
fumecheng-11851	311	6	(	(	PUNCT
fumecheng-11851	311	7	fig	fig	NOUN
fumecheng-11851	311	8	.	.	PUNCT
fumecheng-11851	311	9	9a	9a	NOUN
fumecheng-11851	311	10	)	)	PUNCT
fumecheng-11851	311	11	,	,	PUNCT
fumecheng-11851	311	12	two	two	NUM
fumecheng-11851	311	13	points	point	NOUN
fumecheng-11851	311	14	,	,	PUNCT
fumecheng-11851	311	15	a	a	PRON
fumecheng-11851	311	16	and	and	CCONJ
fumecheng-11851	311	17	b	b	NOUN
fumecheng-11851	311	18	,	,	PUNCT
fumecheng-11851	311	19	on	on	ADP
fumecheng-11851	311	20	the	the	DET
fumecheng-11851	311	21	structure	structure	NOUN
fumecheng-11851	311	22	are	be	AUX
fumecheng-11851	311	23	chosen	choose	VERB
fumecheng-11851	311	24	to	to	PART
fumecheng-11851	311	25	monitor	monitor	VERB
fumecheng-11851	311	26	their	their	PRON
fumecheng-11851	311	27	motion	motion	NOUN
fumecheng-11851	311	28	with	with	ADP
fumecheng-11851	311	29	respect	respect	NOUN
fumecheng-11851	311	30	to	to	ADP
fumecheng-11851	311	31	the	the	DET
fumecheng-11851	311	32	gradually	gradually	ADV
fumecheng-11851	311	33	increasing	increase	VERB
fumecheng-11851	311	34	excitation	excitation	NOUN
fumecheng-11851	311	35	.	.	PUNCT
fumecheng-11851	312	1	figs	fig	NOUN
fumecheng-11851	312	2	.	.	PUNCT
fumecheng-11851	313	1	10a	10a	NOUN
fumecheng-11851	313	2	and	and	CCONJ
fumecheng-11851	313	3	10b	10b	NOUN
fumecheng-11851	313	4	depict	depict	VERB
fumecheng-11851	313	5	the	the	DET
fumecheng-11851	313	6	transverse	transverse	NOUN
fumecheng-11851	313	7	deflection	deflection	NOUN
fumecheng-11851	313	8	and	and	CCONJ
fumecheng-11851	313	9	the	the	DET
fumecheng-11851	313	10	displacement	displacement	NOUN
fumecheng-11851	313	11	in	in	ADP
fumecheng-11851	313	12	the	the	DET
fumecheng-11851	313	13	x	x	NOUN
fumecheng-11851	313	14	-	-	NOUN
fumecheng-11851	313	15	direction	direction	NOUN
fumecheng-11851	313	16	of	of	ADP
fumecheng-11851	313	17	the	the	DET
fumecheng-11851	313	18	point	point	NOUN
fumecheng-11851	313	19	a.	a.	NOUN
fumecheng-11851	313	20	fig	fig	NOUN
fumecheng-11851	313	21	.	.	PUNCT
fumecheng-11851	314	1	11	11	NUM
fumecheng-11851	314	2	shows	show	VERB
fumecheng-11851	314	3	equivalent	equivalent	ADJ
fumecheng-11851	314	4	results	result	NOUN
fumecheng-11851	314	5	to	to	ADP
fumecheng-11851	314	6	those	those	PRON
fumecheng-11851	314	7	given	give	VERB
fumecheng-11851	314	8	in	in	ADP
fumecheng-11851	314	9	fig	fig	NOUN
fumecheng-11851	314	10	.	.	PUNCT
fumecheng-11851	315	1	10	10	NUM
fumecheng-11851	315	2	,	,	PUNCT
fumecheng-11851	315	3	but	but	CCONJ
fumecheng-11851	315	4	for	for	ADP
fumecheng-11851	315	5	point	point	NOUN
fumecheng-11851	315	6	b	b	PROPN
fumecheng-11851	315	7	of	of	ADP
fumecheng-11851	315	8	the	the	DET
fumecheng-11851	315	9	structure	structure	NOUN
fumecheng-11851	315	10	.	.	PUNCT
fumecheng-11851	316	1	fig	fig	NOUN
fumecheng-11851	316	2	.	.	PUNCT
fumecheng-11851	317	1	10	10	NUM
fumecheng-11851	317	2	clamped	clamp	VERB
fumecheng-11851	317	3	piezoelectric	piezoelectric	NOUN
fumecheng-11851	317	4	plate	plate	NOUN
fumecheng-11851	317	5	,	,	PUNCT
fumecheng-11851	317	6	point	point	VERB
fumecheng-11851	317	7	a	a	DET
fumecheng-11851	317	8	displacements	displacement	NOUN
fumecheng-11851	317	9	:	:	PUNCT
fumecheng-11851	317	10	a	a	X
fumecheng-11851	317	11	)	)	PUNCT
fumecheng-11851	317	12	y	y	NOUN
fumecheng-11851	317	13	-	-	PUNCT
fumecheng-11851	317	14	direction	direction	NOUN
fumecheng-11851	317	15	;	;	PUNCT
fumecheng-11851	317	16	b	b	X
fumecheng-11851	317	17	)	)	PUNCT
fumecheng-11851	317	18	x	x	NOUN
fumecheng-11851	317	19	-	-	NOUN
fumecheng-11851	317	20	direction	direction	NOUN
fumecheng-11851	317	21	fig	fig	NOUN
fumecheng-11851	317	22	.	.	PUNCT
fumecheng-11851	318	1	11	11	NUM
fumecheng-11851	318	2	clamped	clamp	VERB
fumecheng-11851	318	3	piezoelectric	piezoelectric	NOUN
fumecheng-11851	318	4	plate	plate	NOUN
fumecheng-11851	318	5	,	,	PUNCT
fumecheng-11851	318	6	point	point	NOUN
fumecheng-11851	318	7	b	b	X
fumecheng-11851	318	8	displacements	displacement	NOUN
fumecheng-11851	318	9	:	:	PUNCT
fumecheng-11851	318	10	a	a	X
fumecheng-11851	318	11	)	)	PUNCT
fumecheng-11851	318	12	y	y	NOUN
fumecheng-11851	318	13	-	-	PUNCT
fumecheng-11851	318	14	direction	direction	NOUN
fumecheng-11851	318	15	;	;	PUNCT
fumecheng-11851	318	16	b	b	X
fumecheng-11851	318	17	)	)	PUNCT
fumecheng-11851	318	18	x	x	NOUN
fumecheng-11851	318	19	-	-	NOUN
fumecheng-11851	318	20	direction	direction	NOUN
fumecheng-11851	318	21	the	the	DET
fumecheng-11851	318	22	previously	previously	ADV
fumecheng-11851	318	23	discussed	discuss	VERB
fumecheng-11851	318	24	example	example	NOUN
fumecheng-11851	318	25	reveals	reveal	VERB
fumecheng-11851	318	26	a	a	DET
fumecheng-11851	318	27	small	small	ADJ
fumecheng-11851	318	28	nonlinear	nonlinear	ADJ
fumecheng-11851	318	29	effect	effect	NOUN
fumecheng-11851	318	30	on	on	ADP
fumecheng-11851	318	31	the	the	DET
fumecheng-11851	318	32	displacements	displacement	NOUN
fumecheng-11851	318	33	in	in	ADP
fumecheng-11851	318	34	the	the	DET
fumecheng-11851	318	35	transverse	transverse	NOUN
fumecheng-11851	318	36	deflection	deflection	NOUN
fumecheng-11851	318	37	.	.	PUNCT
fumecheng-11851	319	1	fig	fig	NOUN
fumecheng-11851	319	2	.	.	PUNCT
fumecheng-11851	320	1	12	12	NUM
fumecheng-11851	320	2	gives	give	VERB
fumecheng-11851	320	3	the	the	DET
fumecheng-11851	320	4	results	result	NOUN
fumecheng-11851	320	5	for	for	SCONJ
fumecheng-11851	320	6	the	the	DET
fumecheng-11851	320	7	transverse	transverse	NOUN
fumecheng-11851	320	8	deflection	deflection	NOUN
fumecheng-11851	320	9	in	in	ADP
fumecheng-11851	320	10	the	the	DET
fumecheng-11851	320	11	case	case	NOUN
fumecheng-11851	320	12	geometrically	geometrically	ADV
fumecheng-11851	320	13	nonlinear	nonlinear	VERB
fumecheng-11851	320	14	analysis	analysis	NOUN
fumecheng-11851	320	15	of	of	ADP
fumecheng-11851	320	16	piezoelectric	piezoelectric	ADJ
fumecheng-11851	320	17	active	active	ADJ
fumecheng-11851	320	18	laminated	laminate	VERB
fumecheng-11851	320	19	shells	shell	NOUN
fumecheng-11851	320	20	by	by	ADP
fumecheng-11851	320	21	means	mean	NOUN
fumecheng-11851	320	22	of	of	ADP
fumecheng-11851	320	23	isogeometric	isogeometric	ADJ
fumecheng-11851	320	24	...	...	PUNCT
fumecheng-11851	320	25	401	401	NUM
fumecheng-11851	320	26	shown	show	VERB
fumecheng-11851	320	27	in	in	ADP
fumecheng-11851	320	28	fig	fig	NOUN
fumecheng-11851	320	29	.	.	PUNCT
fumecheng-11851	321	1	9b	9b	NOUN
fumecheng-11851	321	2	.	.	PUNCT
fumecheng-11851	322	1	obviously	obviously	ADV
fumecheng-11851	322	2	,	,	PUNCT
fumecheng-11851	322	3	the	the	DET
fumecheng-11851	322	4	difference	difference	NOUN
fumecheng-11851	322	5	between	between	ADP
fumecheng-11851	322	6	the	the	DET
fumecheng-11851	322	7	linear	linear	ADJ
fumecheng-11851	322	8	and	and	CCONJ
fumecheng-11851	322	9	nonlinear	nonlinear	ADJ
fumecheng-11851	322	10	results	result	NOUN
fumecheng-11851	322	11	is	be	AUX
fumecheng-11851	322	12	significantly	significantly	ADV
fumecheng-11851	322	13	larger	large	ADJ
fumecheng-11851	322	14	in	in	ADP
fumecheng-11851	322	15	this	this	DET
fumecheng-11851	322	16	case	case	NOUN
fumecheng-11851	322	17	,	,	PUNCT
fumecheng-11851	322	18	which	which	PRON
fumecheng-11851	322	19	is	be	AUX
fumecheng-11851	322	20	the	the	DET
fumecheng-11851	322	21	consequence	consequence	NOUN
fumecheng-11851	322	22	of	of	ADP
fumecheng-11851	322	23	more	more	ADV
fumecheng-11851	322	24	pronounced	pronounced	ADJ
fumecheng-11851	322	25	nonlinear	nonlinear	ADJ
fumecheng-11851	322	26	effect	effect	NOUN
fumecheng-11851	322	27	through	through	ADP
fumecheng-11851	322	28	the	the	DET
fumecheng-11851	322	29	induced	induced	ADJ
fumecheng-11851	322	30	membrane	membrane	NOUN
fumecheng-11851	322	31	strains	strain	NOUN
fumecheng-11851	322	32	and	and	CCONJ
fumecheng-11851	322	33	stresses	stress	NOUN
fumecheng-11851	322	34	.	.	PUNCT
fumecheng-11851	323	1	fig	fig	NOUN
fumecheng-11851	323	2	.	.	PUNCT
fumecheng-11851	324	1	12	12	NUM
fumecheng-11851	324	2	2	2	NUM
fumecheng-11851	324	3	-	-	PUNCT
fumecheng-11851	324	4	edges	edge	NOUN
fumecheng-11851	324	5	-	-	PUNCT
fumecheng-11851	324	6	simply	simply	ADV
fumecheng-11851	324	7	supported	support	VERB
fumecheng-11851	324	8	piezoelectric	piezoelectric	ADJ
fumecheng-11851	324	9	structure	structure	NOUN
fumecheng-11851	324	10	:	:	PUNCT
fumecheng-11851	324	11	displacement	displacement	NOUN
fumecheng-11851	324	12	of	of	ADP
fumecheng-11851	324	13	point	point	NOUN
fumecheng-11851	324	14	c	c	NOUN
fumecheng-11851	324	15	in	in	ADP
fumecheng-11851	324	16	the	the	DET
fumecheng-11851	324	17	vertical	vertical	ADJ
fumecheng-11851	324	18	direction	direction	NOUN
fumecheng-11851	324	19	observing	observe	VERB
fumecheng-11851	324	20	the	the	DET
fumecheng-11851	324	21	results	result	NOUN
fumecheng-11851	324	22	of	of	ADP
fumecheng-11851	324	23	the	the	DET
fumecheng-11851	324	24	examples	example	NOUN
fumecheng-11851	324	25	shown	show	VERB
fumecheng-11851	324	26	,	,	PUNCT
fumecheng-11851	324	27	a	a	DET
fumecheng-11851	324	28	negligible	negligible	ADJ
fumecheng-11851	324	29	difference	difference	NOUN
fumecheng-11851	324	30	can	can	AUX
fumecheng-11851	324	31	be	be	AUX
fumecheng-11851	324	32	observed	observe	VERB
fumecheng-11851	324	33	between	between	ADP
fumecheng-11851	324	34	the	the	DET
fumecheng-11851	324	35	application	application	NOUN
fumecheng-11851	324	36	of	of	ADP
fumecheng-11851	324	37	elements	element	NOUN
fumecheng-11851	324	38	in	in	ADP
fumecheng-11851	324	39	which	which	PRON
fumecheng-11851	324	40	the	the	DET
fumecheng-11851	324	41	voltage	voltage	NOUN
fumecheng-11851	324	42	was	be	AUX
fumecheng-11851	324	43	applied	apply	VERB
fumecheng-11851	324	44	incrementally	incrementally	ADV
fumecheng-11851	324	45	(	(	PUNCT
fumecheng-11851	324	46	acshell9	acshell9	PROPN
fumecheng-11851	324	47	,	,	PUNCT
fumecheng-11851	324	48	nurbs	nurb	NOUN
fumecheng-11851	324	49	)	)	PUNCT
fumecheng-11851	324	50	and	and	CCONJ
fumecheng-11851	324	51	elements	element	NOUN
fumecheng-11851	324	52	,	,	PUNCT
fumecheng-11851	324	53	in	in	ADP
fumecheng-11851	324	54	which	which	PRON
fumecheng-11851	324	55	the	the	DET
fumecheng-11851	324	56	precomputed	precompute	VERB
fumecheng-11851	324	57	moment	moment	NOUN
fumecheng-11851	324	58	was	be	AUX
fumecheng-11851	324	59	applied	apply	VERB
fumecheng-11851	324	60	incrementally	incrementally	ADV
fumecheng-11851	324	61	(	(	PUNCT
fumecheng-11851	324	62	ansys	ansys	PROPN
fumecheng-11851	324	63	shell91	shell91	PROPN
fumecheng-11851	324	64	)	)	PUNCT
fumecheng-11851	324	65	.	.	PUNCT
fumecheng-11851	325	1	this	this	PRON
fumecheng-11851	325	2	should	should	AUX
fumecheng-11851	325	3	not	not	PART
fumecheng-11851	325	4	lead	lead	VERB
fumecheng-11851	325	5	to	to	ADP
fumecheng-11851	325	6	a	a	DET
fumecheng-11851	325	7	general	general	ADJ
fumecheng-11851	325	8	conclusion	conclusion	NOUN
fumecheng-11851	325	9	in	in	ADP
fumecheng-11851	325	10	the	the	DET
fumecheng-11851	325	11	same	same	ADJ
fumecheng-11851	325	12	direction	direction	NOUN
fumecheng-11851	325	13	.	.	PUNCT
fumecheng-11851	326	1	6.2	6.2	NUM
fumecheng-11851	326	2	.	.	PUNCT
fumecheng-11851	327	1	nonlinear	nonlinear	ADJ
fumecheng-11851	327	2	analysis	analysis	NOUN
fumecheng-11851	327	3	of	of	ADP
fumecheng-11851	327	4	piezo	piezo	PROPN
fumecheng-11851	327	5	-	-	ADJ
fumecheng-11851	327	6	laminated	laminated	ADJ
fumecheng-11851	327	7	semicircular	semicircular	ADJ
fumecheng-11851	327	8	arch	arch	NOUN
fumecheng-11851	327	9	in	in	ADP
fumecheng-11851	327	10	the	the	DET
fumecheng-11851	327	11	next	next	ADJ
fumecheng-11851	327	12	example	example	NOUN
fumecheng-11851	327	13	,	,	PUNCT
fumecheng-11851	327	14	a	a	DET
fumecheng-11851	327	15	composite	composite	ADJ
fumecheng-11851	327	16	cylinder	cylinder	NOUN
fumecheng-11851	327	17	arc	arc	NOUN
fumecheng-11851	327	18	was	be	AUX
fumecheng-11851	327	19	considered	consider	VERB
fumecheng-11851	327	20	.	.	PUNCT
fumecheng-11851	328	1	the	the	DET
fumecheng-11851	328	2	structure	structure	NOUN
fumecheng-11851	328	3	is	be	AUX
fumecheng-11851	328	4	formed	form	VERB
fumecheng-11851	328	5	from	from	ADP
fumecheng-11851	328	6	three	three	NUM
fumecheng-11851	328	7	layers	layer	NOUN
fumecheng-11851	328	8	.	.	PUNCT
fumecheng-11851	329	1	the	the	DET
fumecheng-11851	329	2	middle	middle	ADJ
fumecheng-11851	329	3	passive	passive	ADJ
fumecheng-11851	329	4	layer	layer	NOUN
fumecheng-11851	329	5	is	be	AUX
fumecheng-11851	329	6	made	make	VERB
fumecheng-11851	329	7	of	of	ADP
fumecheng-11851	329	8	metal	metal	NOUN
fumecheng-11851	329	9	with	with	ADP
fumecheng-11851	329	10	a	a	DET
fumecheng-11851	329	11	thickness	thickness	NOUN
fumecheng-11851	329	12	of	of	ADP
fumecheng-11851	329	13	5.842	5.842	NUM
fumecheng-11851	329	14	mm	mm	NOUN
fumecheng-11851	329	15	(	(	PUNCT
fumecheng-11851	329	16	y=68.95	y=68.95	PROPN
fumecheng-11851	329	17	gpa	gpa	PROPN
fumecheng-11851	329	18	,	,	PUNCT
fumecheng-11851	329	19	=0.3	=0.3	NOUN
fumecheng-11851	329	20	,	,	PUNCT
fumecheng-11851	329	21	=7750kg	=7750kg	PROPN
fumecheng-11851	329	22	/	/	SYM
fumecheng-11851	329	23	m3	m3	PROPN
fumecheng-11851	329	24	)	)	PUNCT
fumecheng-11851	329	25	.	.	PUNCT
fumecheng-11851	330	1	the	the	DET
fumecheng-11851	330	2	outer	outer	ADJ
fumecheng-11851	330	3	layers	layer	NOUN
fumecheng-11851	330	4	are	be	AUX
fumecheng-11851	330	5	piezoelectric	piezoelectric	ADJ
fumecheng-11851	330	6	layers	layer	NOUN
fumecheng-11851	330	7	with	with	ADP
fumecheng-11851	330	8	a	a	DET
fumecheng-11851	330	9	thickness	thickness	NOUN
fumecheng-11851	330	10	of	of	ADP
fumecheng-11851	330	11	0.254	0.254	NUM
fumecheng-11851	330	12	mm	mm	NOUN
fumecheng-11851	330	13	(	(	PUNCT
fumecheng-11851	330	14	y=63	y=63	PROPN
fumecheng-11851	330	15	gpa	gpa	PROPN
fumecheng-11851	330	16	,	,	PUNCT
fumecheng-11851	330	17	=0.3	=0.3	NOUN
fumecheng-11851	330	18	,	,	PUNCT
fumecheng-11851	330	19	=7600	=7600	PUNCT
fumecheng-11851	330	20	kg	kg	NOUN
fumecheng-11851	330	21	/	/	SYM
fumecheng-11851	330	22	m3	m3	PROPN
fumecheng-11851	330	23	,	,	PUNCT
fumecheng-11851	330	24	e31	e31	PROPN
fumecheng-11851	330	25	=	=	SYM
fumecheng-11851	330	26	e32=16.11	e32=16.11	PROPN
fumecheng-11851	330	27	c	c	PROPN
fumecheng-11851	330	28	/	/	SYM
fumecheng-11851	330	29	m2	m2	PROPN
fumecheng-11851	330	30	,	,	PUNCT
fumecheng-11851	330	31	d33=1.6510	d33=1.6510	NOUN
fumecheng-11851	330	32	-	-	SYM
fumecheng-11851	330	33	8	8	NUM
fumecheng-11851	330	34	f	f	PROPN
fumecheng-11851	330	35	/	/	SYM
fumecheng-11851	330	36	m	m	PROPN
fumecheng-11851	330	37	)	)	PUNCT
fumecheng-11851	330	38	.	.	PUNCT
fumecheng-11851	331	1	fig	fig	NOUN
fumecheng-11851	331	2	.	.	PUNCT
fumecheng-11851	332	1	13	13	NUM
fumecheng-11851	332	2	piezo	piezo	PROPN
fumecheng-11851	332	3	-	-	PUNCT
fumecheng-11851	332	4	laminated	laminate	VERB
fumecheng-11851	332	5	semicircular	semicircular	ADJ
fumecheng-11851	332	6	arch	arch	NOUN
fumecheng-11851	332	7	402	402	NUM
fumecheng-11851	332	8	p.	p.	NOUN
fumecheng-11851	332	9	milić	milić	NOUN
fumecheng-11851	332	10	,	,	PUNCT
fumecheng-11851	332	11	d.	d.	PROPN
fumecheng-11851	332	12	marinković	marinković	PROPN
fumecheng-11851	332	13	,	,	PUNCT
fumecheng-11851	332	14	ž	ž	PROPN
fumecheng-11851	332	15	.	.	PUNCT
fumecheng-11851	332	16	ćojbašić	ćojbašić	VERB
fumecheng-11851	333	1	only	only	ADV
fumecheng-11851	333	2	one	one	NUM
fumecheng-11851	333	3	force	force	NOUN
fumecheng-11851	333	4	f	f	NOUN
fumecheng-11851	333	5	,	,	PUNCT
fumecheng-11851	333	6	the	the	DET
fumecheng-11851	333	7	magnitude	magnitude	NOUN
fumecheng-11851	333	8	of	of	ADP
fumecheng-11851	333	9	which	which	PRON
fumecheng-11851	333	10	is	be	AUX
fumecheng-11851	333	11	100	100	NUM
fumecheng-11851	333	12	n	n	CCONJ
fumecheng-11851	333	13	,	,	PUNCT
fumecheng-11851	333	14	acts	act	VERB
fumecheng-11851	333	15	onto	onto	ADP
fumecheng-11851	333	16	the	the	DET
fumecheng-11851	333	17	structure	structure	NOUN
fumecheng-11851	333	18	in	in	ADP
fumecheng-11851	333	19	the	the	DET
fumecheng-11851	333	20	middle	middle	NOUN
fumecheng-11851	333	21	of	of	ADP
fumecheng-11851	333	22	the	the	DET
fumecheng-11851	333	23	tip	tip	NOUN
fumecheng-11851	333	24	of	of	ADP
fumecheng-11851	333	25	the	the	DET
fumecheng-11851	333	26	free	free	ADJ
fumecheng-11851	333	27	edge	edge	NOUN
fumecheng-11851	333	28	.	.	PUNCT
fumecheng-11851	334	1	the	the	DET
fumecheng-11851	334	2	response	response	NOUN
fumecheng-11851	334	3	of	of	ADP
fumecheng-11851	334	4	the	the	DET
fumecheng-11851	334	5	structure	structure	NOUN
fumecheng-11851	334	6	in	in	ADP
fumecheng-11851	334	7	the	the	DET
fumecheng-11851	334	8	nonlinear	nonlinear	ADJ
fumecheng-11851	334	9	static	static	ADJ
fumecheng-11851	334	10	analysis	analysis	NOUN
fumecheng-11851	334	11	under	under	ADP
fumecheng-11851	334	12	the	the	DET
fumecheng-11851	334	13	action	action	NOUN
fumecheng-11851	334	14	of	of	ADP
fumecheng-11851	334	15	the	the	DET
fumecheng-11851	334	16	force	force	NOUN
fumecheng-11851	334	17	f	f	PROPN
fumecheng-11851	334	18	was	be	AUX
fumecheng-11851	334	19	observed	observe	VERB
fumecheng-11851	334	20	through	through	ADP
fumecheng-11851	334	21	the	the	DET
fumecheng-11851	334	22	displacement	displacement	NOUN
fumecheng-11851	334	23	of	of	ADP
fumecheng-11851	334	24	the	the	DET
fumecheng-11851	334	25	tip	tip	NOUN
fumecheng-11851	334	26	of	of	ADP
fumecheng-11851	334	27	the	the	DET
fumecheng-11851	334	28	free	free	ADJ
fumecheng-11851	334	29	edge	edge	NOUN
fumecheng-11851	334	30	in	in	ADP
fumecheng-11851	334	31	the	the	DET
fumecheng-11851	334	32	radial	radial	ADJ
fumecheng-11851	334	33	direction	direction	NOUN
fumecheng-11851	334	34	as	as	ADV
fumecheng-11851	334	35	well	well	ADV
fumecheng-11851	334	36	as	as	ADP
fumecheng-11851	334	37	in	in	ADP
fumecheng-11851	334	38	the	the	DET
fumecheng-11851	334	39	circular	circular	ADJ
fumecheng-11851	334	40	direction	direction	NOUN
fumecheng-11851	334	41	.	.	PUNCT
fumecheng-11851	335	1	the	the	DET
fumecheng-11851	335	2	acting	act	VERB
fumecheng-11851	335	3	force	force	NOUN
fumecheng-11851	335	4	also	also	ADV
fumecheng-11851	335	5	induces	induce	VERB
fumecheng-11851	335	6	electric	electric	ADJ
fumecheng-11851	335	7	voltages	voltage	NOUN
fumecheng-11851	335	8	in	in	ADP
fumecheng-11851	335	9	the	the	DET
fumecheng-11851	335	10	piezoelectric	piezoelectric	ADJ
fumecheng-11851	335	11	layers	layer	NOUN
fumecheng-11851	335	12	.	.	PUNCT
fumecheng-11851	336	1	the	the	DET
fumecheng-11851	336	2	voltage	voltage	NOUN
fumecheng-11851	336	3	of	of	ADP
fumecheng-11851	336	4	the	the	DET
fumecheng-11851	336	5	inner	inner	ADJ
fumecheng-11851	336	6	piezoelectric	piezoelectric	NOUN
fumecheng-11851	336	7	layer	layer	NOUN
fumecheng-11851	336	8	is	be	AUX
fumecheng-11851	336	9	observed	observe	VERB
fumecheng-11851	336	10	for	for	ADP
fumecheng-11851	336	11	the	the	DET
fumecheng-11851	336	12	comparison	comparison	NOUN
fumecheng-11851	336	13	purposes	purpose	NOUN
fumecheng-11851	336	14	with	with	ADP
fumecheng-11851	336	15	the	the	DET
fumecheng-11851	336	16	results	result	NOUN
fumecheng-11851	336	17	from	from	ADP
fumecheng-11851	336	18	the	the	DET
fumecheng-11851	336	19	literature	literature	NOUN
fumecheng-11851	336	20	.	.	PUNCT
fumecheng-11851	337	1	actually	actually	ADV
fumecheng-11851	337	2	,	,	PUNCT
fumecheng-11851	337	3	tzou	tzou	NOUN
fumecheng-11851	337	4	and	and	CCONJ
fumecheng-11851	337	5	ye	ye	PRON
fumecheng-11851	338	1	[	[	X
fumecheng-11851	338	2	35	35	NUM
fumecheng-11851	338	3	]	]	PUNCT
fumecheng-11851	338	4	proposed	propose	VERB
fumecheng-11851	338	5	the	the	DET
fumecheng-11851	338	6	example	example	NOUN
fumecheng-11851	338	7	originally	originally	ADV
fumecheng-11851	338	8	.	.	PUNCT
fumecheng-11851	339	1	it	it	PRON
fumecheng-11851	339	2	was	be	AUX
fumecheng-11851	339	3	further	far	ADV
fumecheng-11851	339	4	modified	modify	VERB
fumecheng-11851	339	5	by	by	ADP
fumecheng-11851	339	6	zhang	zhang	PROPN
fumecheng-11851	340	1	[	[	X
fumecheng-11851	340	2	36	36	NUM
fumecheng-11851	340	3	]	]	PUNCT
fumecheng-11851	340	4	,	,	PUNCT
fumecheng-11851	340	5	and	and	CCONJ
fumecheng-11851	340	6	marinkovic	marinkovic	PROPN
fumecheng-11851	340	7	et	et	PROPN
fumecheng-11851	340	8	al	al	PROPN
fumecheng-11851	340	9	.	.	PUNCT
fumecheng-11851	341	1	[	[	X
fumecheng-11851	341	2	22	22	NUM
fumecheng-11851	341	3	]	]	PUNCT
fumecheng-11851	341	4	.	.	PUNCT
fumecheng-11851	342	1	zhang	zhang	PROPN
fumecheng-11851	342	2	discretized	discretize	VERB
fumecheng-11851	342	3	the	the	DET
fumecheng-11851	342	4	structure	structure	NOUN
fumecheng-11851	342	5	with	with	ADP
fumecheng-11851	342	6	10	10	NUM
fumecheng-11851	342	7	elements	element	NOUN
fumecheng-11851	342	8	and	and	CCONJ
fumecheng-11851	342	9	using	use	VERB
fumecheng-11851	342	10	one	one	NUM
fumecheng-11851	342	11	element	element	NOUN
fumecheng-11851	342	12	in	in	ADP
fumecheng-11851	342	13	the	the	DET
fumecheng-11851	342	14	width	width	ADJ
fumecheng-11851	342	15	direction	direction	NOUN
fumecheng-11851	342	16	.	.	PUNCT
fumecheng-11851	343	1	the	the	DET
fumecheng-11851	343	2	model	model	NOUN
fumecheng-11851	343	3	by	by	ADP
fumecheng-11851	343	4	marinkovic	marinkovic	PROPN
fumecheng-11851	343	5	at	at	ADP
fumecheng-11851	343	6	al	al	PROPN
fumecheng-11851	343	7	[	[	X
fumecheng-11851	343	8	22	22	NUM
fumecheng-11851	343	9	]	]	PUNCT
fumecheng-11851	343	10	model	model	NOUN
fumecheng-11851	343	11	uses	use	VERB
fumecheng-11851	343	12	160	160	NUM
fumecheng-11851	343	13	triangle	triangle	NOUN
fumecheng-11851	343	14	elements	element	NOUN
fumecheng-11851	343	15	.	.	PUNCT
fumecheng-11851	344	1	the	the	DET
fumecheng-11851	344	2	nurbs	nurbs	NOUN
fumecheng-11851	344	3	model	model	NOUN
fumecheng-11851	344	4	was	be	AUX
fumecheng-11851	344	5	formed	form	VERB
fumecheng-11851	344	6	with	with	ADP
fumecheng-11851	344	7	quadratic	quadratic	ADJ
fumecheng-11851	344	8	basic	basic	ADJ
fumecheng-11851	344	9	functions	function	NOUN
fumecheng-11851	344	10	,	,	PUNCT
fumecheng-11851	344	11	with	with	ADP
fumecheng-11851	344	12	4	4	NUM
fumecheng-11851	344	13	elements	element	NOUN
fumecheng-11851	344	14	in	in	ADP
fumecheng-11851	344	15	the	the	DET
fumecheng-11851	344	16	width	width	ADJ
fumecheng-11851	344	17	direction	direction	NOUN
fumecheng-11851	344	18	and	and	CCONJ
fumecheng-11851	344	19	20	20	NUM
fumecheng-11851	344	20	elements	element	NOUN
fumecheng-11851	344	21	in	in	ADP
fumecheng-11851	344	22	the	the	DET
fumecheng-11851	344	23	hoop	hoop	NOUN
fumecheng-11851	344	24	direction	direction	NOUN
fumecheng-11851	344	25	.	.	PUNCT
fumecheng-11851	345	1	the	the	DET
fumecheng-11851	345	2	displacements	displacement	NOUN
fumecheng-11851	345	3	are	be	AUX
fumecheng-11851	345	4	shown	show	VERB
fumecheng-11851	345	5	in	in	ADP
fumecheng-11851	345	6	fig	fig	NOUN
fumecheng-11851	345	7	.	.	PUNCT
fumecheng-11851	346	1	14	14	NUM
fumecheng-11851	346	2	and	and	CCONJ
fumecheng-11851	346	3	the	the	DET
fumecheng-11851	346	4	induced	induce	VERB
fumecheng-11851	346	5	electric	electric	ADJ
fumecheng-11851	346	6	potentials	potential	NOUN
fumecheng-11851	346	7	of	of	ADP
fumecheng-11851	346	8	the	the	DET
fumecheng-11851	346	9	inner	inner	ADJ
fumecheng-11851	346	10	piezolayer	piezolayer	NOUN
fumecheng-11851	346	11	are	be	AUX
fumecheng-11851	346	12	given	give	VERB
fumecheng-11851	346	13	in	in	ADP
fumecheng-11851	346	14	fig	fig	NOUN
fumecheng-11851	346	15	.	.	PUNCT
fumecheng-11851	347	1	15	15	NUM
fumecheng-11851	347	2	.	.	X
fumecheng-11851	347	3	fig	fig	NOUN
fumecheng-11851	347	4	.	.	PUNCT
fumecheng-11851	348	1	14	14	NUM
fumecheng-11851	348	2	displacement	displacement	NOUN
fumecheng-11851	348	3	of	of	ADP
fumecheng-11851	348	4	the	the	DET
fumecheng-11851	348	5	free	free	ADJ
fumecheng-11851	348	6	arc	arc	NOUN
fumecheng-11851	348	7	edge	edge	NOUN
fumecheng-11851	348	8	tip	tip	NOUN
fumecheng-11851	348	9	in	in	ADP
fumecheng-11851	348	10	the	the	DET
fumecheng-11851	348	11	radial	radial	ADJ
fumecheng-11851	348	12	and	and	CCONJ
fumecheng-11851	348	13	hoop	hoop	NOUN
fumecheng-11851	348	14	directions	direction	NOUN
fumecheng-11851	348	15	fig	fig	NOUN
fumecheng-11851	348	16	.	.	PUNCT
fumecheng-11851	349	1	15	15	NUM
fumecheng-11851	349	2	sensor	sensor	NOUN
fumecheng-11851	349	3	voltage	voltage	NOUN
fumecheng-11851	349	4	of	of	ADP
fumecheng-11851	349	5	the	the	DET
fumecheng-11851	349	6	inner	inner	ADJ
fumecheng-11851	349	7	piezolayer	piezolayer	NOUN
fumecheng-11851	349	8	geometrically	geometrically	ADV
fumecheng-11851	349	9	nonlinear	nonlinear	VERB
fumecheng-11851	349	10	analysis	analysis	NOUN
fumecheng-11851	349	11	of	of	ADP
fumecheng-11851	349	12	piezoelectric	piezoelectric	ADJ
fumecheng-11851	349	13	active	active	ADJ
fumecheng-11851	349	14	laminated	laminate	VERB
fumecheng-11851	349	15	shells	shell	NOUN
fumecheng-11851	349	16	by	by	ADP
fumecheng-11851	349	17	means	mean	NOUN
fumecheng-11851	349	18	of	of	ADP
fumecheng-11851	349	19	isogeometric	isogeometric	ADJ
fumecheng-11851	349	20	...	...	PUNCT
fumecheng-11851	349	21	403	403	NUM
fumecheng-11851	349	22	minor	minor	ADJ
fumecheng-11851	349	23	differences	difference	NOUN
fumecheng-11851	349	24	between	between	ADP
fumecheng-11851	349	25	the	the	DET
fumecheng-11851	349	26	results	result	NOUN
fumecheng-11851	349	27	for	for	ADP
fumecheng-11851	349	28	the	the	DET
fumecheng-11851	349	29	induced	induced	ADJ
fumecheng-11851	349	30	electric	electric	ADJ
fumecheng-11851	349	31	potential	potential	NOUN
fumecheng-11851	349	32	in	in	ADP
fumecheng-11851	349	33	the	the	DET
fumecheng-11851	349	34	inner	inner	ADJ
fumecheng-11851	349	35	piezolayer	piezolayer	NOUN
fumecheng-11851	349	36	can	can	AUX
fumecheng-11851	349	37	be	be	AUX
fumecheng-11851	349	38	noticed	notice	VERB
fumecheng-11851	349	39	in	in	ADP
fumecheng-11851	349	40	fig	fig	NOUN
fumecheng-11851	349	41	.	.	PUNCT
fumecheng-11851	350	1	15	15	NUM
fumecheng-11851	350	2	.	.	PUNCT
fumecheng-11851	351	1	this	this	PRON
fumecheng-11851	351	2	can	can	AUX
fumecheng-11851	351	3	be	be	AUX
fumecheng-11851	351	4	attributed	attribute	VERB
fumecheng-11851	351	5	to	to	ADP
fumecheng-11851	351	6	different	different	ADJ
fumecheng-11851	351	7	meshes	mesh	NOUN
fumecheng-11851	351	8	applied	apply	VERB
fumecheng-11851	351	9	and	and	CCONJ
fumecheng-11851	351	10	also	also	ADV
fumecheng-11851	351	11	the	the	DET
fumecheng-11851	351	12	fact	fact	NOUN
fumecheng-11851	351	13	that	that	SCONJ
fumecheng-11851	351	14	zhang	zhang	PROPN
fumecheng-11851	352	1	[	[	X
fumecheng-11851	352	2	36	36	NUM
fumecheng-11851	352	3	]	]	PUNCT
fumecheng-11851	352	4	used	use	VERB
fumecheng-11851	352	5	the	the	DET
fumecheng-11851	352	6	rigorous	rigorous	ADJ
fumecheng-11851	352	7	geometrically	geometrically	ADV
fumecheng-11851	352	8	nonlinear	nonlinear	ADJ
fumecheng-11851	352	9	formulation	formulation	NOUN
fumecheng-11851	352	10	,	,	PUNCT
fumecheng-11851	352	11	while	while	SCONJ
fumecheng-11851	352	12	marinkovic	marinkovic	PROPN
fumecheng-11851	352	13	et	et	PROPN
fumecheng-11851	352	14	al	al	PROPN
fumecheng-11851	352	15	.	.	PUNCT
fumecheng-11851	353	1	[	[	X
fumecheng-11851	353	2	22	22	NUM
fumecheng-11851	353	3	]	]	PUNCT
fumecheng-11851	353	4	used	use	VERB
fumecheng-11851	353	5	a	a	DET
fumecheng-11851	353	6	co	co	ADJ
fumecheng-11851	353	7	-	-	ADJ
fumecheng-11851	353	8	rotational	rotational	ADJ
fumecheng-11851	353	9	formulation	formulation	NOUN
fumecheng-11851	353	10	.	.	PUNCT
fumecheng-11851	354	1	7	7	X
fumecheng-11851	354	2	.	.	X
fumecheng-11851	354	3	conclusions	conclusion	NOUN
fumecheng-11851	354	4	shell	shell	VERB
fumecheng-11851	354	5	type	type	NOUN
fumecheng-11851	354	6	of	of	ADP
fumecheng-11851	354	7	structures	structure	NOUN
fumecheng-11851	354	8	,	,	PUNCT
fumecheng-11851	354	9	i.e.	i.e.	X
fumecheng-11851	354	10	thin	thin	ADJ
fumecheng-11851	354	11	-	-	PUNCT
fumecheng-11851	354	12	walled	walled	ADJ
fumecheng-11851	354	13	structures	structure	NOUN
fumecheng-11851	354	14	represent	represent	VERB
fumecheng-11851	354	15	a	a	DET
fumecheng-11851	354	16	natural	natural	ADJ
fumecheng-11851	354	17	way	way	NOUN
fumecheng-11851	354	18	of	of	ADP
fumecheng-11851	354	19	achieving	achieve	VERB
fumecheng-11851	354	20	lightweight	lightweight	ADJ
fumecheng-11851	354	21	design	design	NOUN
fumecheng-11851	354	22	.	.	PUNCT
fumecheng-11851	355	1	in	in	ADP
fumecheng-11851	355	2	addition	addition	NOUN
fumecheng-11851	355	3	to	to	ADP
fumecheng-11851	355	4	this	this	PRON
fumecheng-11851	355	5	,	,	PUNCT
fumecheng-11851	355	6	novel	novel	ADJ
fumecheng-11851	355	7	structural	structural	ADJ
fumecheng-11851	355	8	materials	material	NOUN
fumecheng-11851	355	9	,	,	PUNCT
fumecheng-11851	355	10	such	such	ADJ
fumecheng-11851	355	11	as	as	ADP
fumecheng-11851	355	12	fiberreinforced	fiberreinforce	VERB
fumecheng-11851	355	13	laminates	laminate	NOUN
fumecheng-11851	355	14	with	with	ADP
fumecheng-11851	355	15	high	high	ADJ
fumecheng-11851	355	16	stiffness	stiffness	NOUN
fumecheng-11851	355	17	-	-	PUNCT
fumecheng-11851	355	18	to	to	ADP
fumecheng-11851	355	19	-	-	PUNCT
fumecheng-11851	355	20	weight	weight	NOUN
fumecheng-11851	355	21	ratio	ratio	NOUN
fumecheng-11851	355	22	,	,	PUNCT
fumecheng-11851	355	23	are	be	AUX
fumecheng-11851	355	24	used	use	VERB
fumecheng-11851	355	25	to	to	PART
fumecheng-11851	355	26	produce	produce	VERB
fumecheng-11851	355	27	even	even	ADV
fumecheng-11851	355	28	lighter	light	ADJ
fumecheng-11851	355	29	structures	structure	NOUN
fumecheng-11851	355	30	with	with	ADP
fumecheng-11851	355	31	an	an	DET
fumecheng-11851	355	32	option	option	NOUN
fumecheng-11851	355	33	of	of	ADP
fumecheng-11851	355	34	tailoring	tailor	VERB
fumecheng-11851	355	35	material	material	NOUN
fumecheng-11851	355	36	properties	property	NOUN
fumecheng-11851	355	37	by	by	ADP
fumecheng-11851	355	38	a	a	DET
fumecheng-11851	355	39	careful	careful	ADJ
fumecheng-11851	355	40	selection	selection	NOUN
fumecheng-11851	355	41	of	of	ADP
fumecheng-11851	355	42	the	the	DET
fumecheng-11851	355	43	composite	composite	ADJ
fumecheng-11851	355	44	material	material	NOUN
fumecheng-11851	355	45	composition	composition	NOUN
fumecheng-11851	355	46	,	,	PUNCT
fumecheng-11851	355	47	number	number	NOUN
fumecheng-11851	355	48	and	and	CCONJ
fumecheng-11851	355	49	sequence	sequence	NOUN
fumecheng-11851	355	50	of	of	ADP
fumecheng-11851	355	51	layers	layer	NOUN
fumecheng-11851	355	52	as	as	ADV
fumecheng-11851	355	53	well	well	ADV
fumecheng-11851	355	54	as	as	ADP
fumecheng-11851	355	55	the	the	DET
fumecheng-11851	355	56	fiber	fiber	NOUN
fumecheng-11851	355	57	orientations	orientation	NOUN
fumecheng-11851	355	58	in	in	ADP
fumecheng-11851	355	59	the	the	DET
fumecheng-11851	355	60	layers	layer	NOUN
fumecheng-11851	355	61	.	.	PUNCT
fumecheng-11851	356	1	this	this	PRON
fumecheng-11851	356	2	has	have	AUX
fumecheng-11851	356	3	been	be	AUX
fumecheng-11851	356	4	the	the	DET
fumecheng-11851	356	5	state	state	NOUN
fumecheng-11851	356	6	-	-	PUNCT
fumecheng-11851	356	7	of	of	ADP
fumecheng-11851	356	8	-	-	PUNCT
fumecheng-11851	356	9	the	the	DET
fumecheng-11851	356	10	-	-	PUNCT
fumecheng-11851	356	11	art	art	NOUN
fumecheng-11851	356	12	in	in	ADP
fumecheng-11851	356	13	many	many	ADJ
fumecheng-11851	356	14	high	high	ADJ
fumecheng-11851	356	15	performance	performance	NOUN
fumecheng-11851	356	16	structures	structure	NOUN
fumecheng-11851	356	17	for	for	ADP
fumecheng-11851	356	18	a	a	DET
fumecheng-11851	356	19	few	few	ADJ
fumecheng-11851	356	20	decades	decade	NOUN
fumecheng-11851	356	21	.	.	PUNCT
fumecheng-11851	357	1	a	a	DET
fumecheng-11851	357	2	further	further	ADJ
fumecheng-11851	357	3	improvement	improvement	NOUN
fumecheng-11851	357	4	comes	come	VERB
fumecheng-11851	357	5	in	in	ADP
fumecheng-11851	357	6	the	the	DET
fumecheng-11851	357	7	form	form	NOUN
fumecheng-11851	357	8	of	of	ADP
fumecheng-11851	357	9	adaptive	adaptive	ADJ
fumecheng-11851	357	10	structures	structure	NOUN
fumecheng-11851	357	11	–	–	PUNCT
fumecheng-11851	357	12	structures	structure	NOUN
fumecheng-11851	357	13	provided	provide	VERB
fumecheng-11851	357	14	with	with	ADP
fumecheng-11851	357	15	active	active	ADJ
fumecheng-11851	357	16	elements	element	NOUN
fumecheng-11851	357	17	,	,	PUNCT
fumecheng-11851	357	18	i.e.	i.e.	X
fumecheng-11851	357	19	sensors	sensor	NOUN
fumecheng-11851	357	20	and	and	CCONJ
fumecheng-11851	357	21	actuators	actuator	NOUN
fumecheng-11851	357	22	,	,	PUNCT
fumecheng-11851	357	23	and	and	CCONJ
fumecheng-11851	357	24	which	which	PRON
fumecheng-11851	357	25	can	can	AUX
fumecheng-11851	357	26	proactively	proactively	ADV
fumecheng-11851	357	27	react	react	VERB
fumecheng-11851	357	28	to	to	ADP
fumecheng-11851	357	29	different	different	ADJ
fumecheng-11851	357	30	conditions	condition	NOUN
fumecheng-11851	357	31	they	they	PRON
fumecheng-11851	357	32	are	be	AUX
fumecheng-11851	357	33	exposed	expose	VERB
fumecheng-11851	357	34	to	to	ADP
fumecheng-11851	357	35	.	.	PUNCT
fumecheng-11851	358	1	in	in	ADP
fumecheng-11851	358	2	the	the	DET
fumecheng-11851	358	3	specific	specific	ADJ
fumecheng-11851	358	4	case	case	NOUN
fumecheng-11851	358	5	addressed	address	VERB
fumecheng-11851	358	6	in	in	ADP
fumecheng-11851	358	7	this	this	DET
fumecheng-11851	358	8	paper	paper	NOUN
fumecheng-11851	358	9	,	,	PUNCT
fumecheng-11851	358	10	the	the	DET
fumecheng-11851	358	11	active	active	ADJ
fumecheng-11851	358	12	elements	element	NOUN
fumecheng-11851	358	13	are	be	AUX
fumecheng-11851	358	14	in	in	ADP
fumecheng-11851	358	15	the	the	DET
fumecheng-11851	358	16	form	form	NOUN
fumecheng-11851	358	17	of	of	ADP
fumecheng-11851	358	18	thin	thin	ADJ
fumecheng-11851	358	19	piezoelectric	piezoelectric	ADJ
fumecheng-11851	358	20	layers	layer	NOUN
fumecheng-11851	358	21	embedded	embed	VERB
fumecheng-11851	358	22	in	in	ADP
fumecheng-11851	358	23	the	the	DET
fumecheng-11851	358	24	laminate	laminate	NOUN
fumecheng-11851	358	25	structure	structure	NOUN
fumecheng-11851	358	26	.	.	PUNCT
fumecheng-11851	359	1	this	this	DET
fumecheng-11851	359	2	paper	paper	NOUN
fumecheng-11851	359	3	proposed	propose	VERB
fumecheng-11851	359	4	a	a	DET
fumecheng-11851	359	5	novel	novel	ADJ
fumecheng-11851	359	6	numerical	numerical	ADJ
fumecheng-11851	359	7	tool	tool	NOUN
fumecheng-11851	359	8	for	for	ADP
fumecheng-11851	359	9	modeling	model	VERB
fumecheng-11851	359	10	the	the	DET
fumecheng-11851	359	11	mentioned	mention	VERB
fumecheng-11851	359	12	type	type	NOUN
fumecheng-11851	359	13	of	of	ADP
fumecheng-11851	359	14	structures	structure	NOUN
fumecheng-11851	359	15	.	.	PUNCT
fumecheng-11851	360	1	the	the	DET
fumecheng-11851	360	2	finite	finite	PROPN
fumecheng-11851	360	3	element	element	NOUN
fumecheng-11851	360	4	method	method	NOUN
fumecheng-11851	360	5	is	be	AUX
fumecheng-11851	360	6	addressed	address	VERB
fumecheng-11851	360	7	as	as	ADP
fumecheng-11851	360	8	the	the	DET
fumecheng-11851	360	9	most	most	ADV
fumecheng-11851	360	10	powerful	powerful	ADJ
fumecheng-11851	360	11	method	method	NOUN
fumecheng-11851	360	12	in	in	ADP
fumecheng-11851	360	13	the	the	DET
fumecheng-11851	360	14	field	field	NOUN
fumecheng-11851	360	15	of	of	ADP
fumecheng-11851	360	16	structural	structural	ADJ
fumecheng-11851	360	17	analysis	analysis	NOUN
fumecheng-11851	360	18	.	.	PUNCT
fumecheng-11851	361	1	the	the	DET
fumecheng-11851	361	2	development	development	NOUN
fumecheng-11851	361	3	is	be	AUX
fumecheng-11851	361	4	based	base	VERB
fumecheng-11851	361	5	on	on	ADP
fumecheng-11851	361	6	a	a	DET
fumecheng-11851	361	7	relatively	relatively	ADV
fumecheng-11851	361	8	novel	novel	ADJ
fumecheng-11851	361	9	isogeometric	isogeometric	ADJ
fumecheng-11851	361	10	approach	approach	NOUN
fumecheng-11851	361	11	.	.	PUNCT
fumecheng-11851	362	1	the	the	DET
fumecheng-11851	362	2	main	main	ADJ
fumecheng-11851	362	3	advantage	advantage	NOUN
fumecheng-11851	362	4	that	that	PRON
fumecheng-11851	362	5	it	it	PRON
fumecheng-11851	362	6	offers	offer	VERB
fumecheng-11851	362	7	is	be	AUX
fumecheng-11851	362	8	a	a	DET
fumecheng-11851	362	9	seamless	seamless	ADJ
fumecheng-11851	362	10	integration	integration	NOUN
fumecheng-11851	362	11	of	of	ADP
fumecheng-11851	362	12	the	the	DET
fumecheng-11851	362	13	cad	cad	PROPN
fumecheng-11851	362	14	geometry	geometry	NOUN
fumecheng-11851	362	15	into	into	ADP
fumecheng-11851	362	16	the	the	DET
fumecheng-11851	362	17	fe	fe	PROPN
fumecheng-11851	362	18	model	model	NOUN
fumecheng-11851	362	19	,	,	PUNCT
fumecheng-11851	362	20	thus	thus	ADV
fumecheng-11851	362	21	keeping	keep	VERB
fumecheng-11851	362	22	the	the	DET
fumecheng-11851	362	23	original	original	ADJ
fumecheng-11851	362	24	,	,	PUNCT
fumecheng-11851	362	25	correct	correct	ADJ
fumecheng-11851	362	26	geometry	geometry	NOUN
fumecheng-11851	362	27	of	of	ADP
fumecheng-11851	362	28	the	the	DET
fumecheng-11851	362	29	structure	structure	NOUN
fumecheng-11851	362	30	.	.	PUNCT
fumecheng-11851	363	1	the	the	DET
fumecheng-11851	363	2	proposed	propose	VERB
fumecheng-11851	363	3	formulation	formulation	NOUN
fumecheng-11851	363	4	covers	cover	VERB
fumecheng-11851	363	5	the	the	DET
fumecheng-11851	363	6	mechanical	mechanical	ADJ
fumecheng-11851	363	7	field	field	NOUN
fumecheng-11851	363	8	in	in	ADP
fumecheng-11851	363	9	the	the	DET
fumecheng-11851	363	10	whole	whole	ADJ
fumecheng-11851	363	11	structure	structure	NOUN
fumecheng-11851	363	12	as	as	ADV
fumecheng-11851	363	13	well	well	ADV
fumecheng-11851	363	14	as	as	ADP
fumecheng-11851	363	15	the	the	DET
fumecheng-11851	363	16	electrical	electrical	ADJ
fumecheng-11851	363	17	field	field	NOUN
fumecheng-11851	363	18	and	and	CCONJ
fumecheng-11851	363	19	the	the	DET
fumecheng-11851	363	20	piezoelectric	piezoelectric	NOUN
fumecheng-11851	363	21	coupling	coupling	NOUN
fumecheng-11851	363	22	in	in	ADP
fumecheng-11851	363	23	the	the	DET
fumecheng-11851	363	24	piezoelectric	piezoelectric	ADJ
fumecheng-11851	363	25	layers	layer	NOUN
fumecheng-11851	363	26	.	.	PUNCT
fumecheng-11851	364	1	thin	thin	ADJ
fumecheng-11851	364	2	-	-	PUNCT
fumecheng-11851	364	3	walled	walled	ADJ
fumecheng-11851	364	4	structures	structure	NOUN
fumecheng-11851	364	5	are	be	AUX
fumecheng-11851	364	6	prone	prone	ADJ
fumecheng-11851	364	7	to	to	ADP
fumecheng-11851	364	8	deformations	deformation	NOUN
fumecheng-11851	364	9	characterized	characterize	VERB
fumecheng-11851	364	10	by	by	ADP
fumecheng-11851	364	11	large	large	ADJ
fumecheng-11851	364	12	local	local	ADJ
fumecheng-11851	364	13	rotations	rotation	NOUN
fumecheng-11851	364	14	whereby	whereby	SCONJ
fumecheng-11851	364	15	the	the	DET
fumecheng-11851	364	16	strains	strain	NOUN
fumecheng-11851	364	17	remain	remain	VERB
fumecheng-11851	364	18	small	small	ADJ
fumecheng-11851	364	19	.	.	PUNCT
fumecheng-11851	365	1	for	for	ADP
fumecheng-11851	365	2	that	that	DET
fumecheng-11851	365	3	reason	reason	NOUN
fumecheng-11851	365	4	,	,	PUNCT
fumecheng-11851	365	5	the	the	DET
fumecheng-11851	365	6	developed	develop	VERB
fumecheng-11851	365	7	tool	tool	NOUN
fumecheng-11851	365	8	covers	cover	VERB
fumecheng-11851	365	9	both	both	CCONJ
fumecheng-11851	365	10	linear	linear	ADJ
fumecheng-11851	365	11	and	and	CCONJ
fumecheng-11851	365	12	geometrically	geometrically	ADV
fumecheng-11851	365	13	nonlinear	nonlinear	ADJ
fumecheng-11851	365	14	analysis	analysis	NOUN
fumecheng-11851	365	15	.	.	PUNCT
fumecheng-11851	366	1	for	for	ADP
fumecheng-11851	366	2	the	the	DET
fumecheng-11851	366	3	mechanical	mechanical	ADJ
fumecheng-11851	366	4	field	field	NOUN
fumecheng-11851	366	5	,	,	PUNCT
fumecheng-11851	366	6	an	an	DET
fumecheng-11851	366	7	equivalent	equivalent	ADJ
fumecheng-11851	366	8	single	single	ADJ
fumecheng-11851	366	9	layer	layer	NOUN
fumecheng-11851	366	10	approach	approach	NOUN
fumecheng-11851	366	11	based	base	VERB
fumecheng-11851	366	12	on	on	ADP
fumecheng-11851	366	13	the	the	DET
fumecheng-11851	366	14	first	first	ADJ
fumecheng-11851	366	15	-	-	PUNCT
fumecheng-11851	366	16	order	order	NOUN
fumecheng-11851	366	17	shear	shear	NOUN
fumecheng-11851	366	18	deformation	deformation	NOUN
fumecheng-11851	366	19	theory	theory	NOUN
fumecheng-11851	366	20	is	be	AUX
fumecheng-11851	366	21	applied	apply	VERB
fumecheng-11851	366	22	.	.	PUNCT
fumecheng-11851	367	1	the	the	DET
fumecheng-11851	367	2	considered	consider	VERB
fumecheng-11851	367	3	cases	case	NOUN
fumecheng-11851	367	4	are	be	AUX
fumecheng-11851	367	5	selected	select	VERB
fumecheng-11851	367	6	from	from	ADP
fumecheng-11851	367	7	the	the	DET
fumecheng-11851	367	8	available	available	ADJ
fumecheng-11851	367	9	literature	literature	NOUN
fumecheng-11851	367	10	in	in	ADP
fumecheng-11851	367	11	order	order	NOUN
fumecheng-11851	367	12	to	to	PART
fumecheng-11851	367	13	have	have	AUX
fumecheng-11851	367	14	reference	reference	NOUN
fumecheng-11851	367	15	solutions	solution	NOUN
fumecheng-11851	367	16	.	.	PUNCT
fumecheng-11851	368	1	they	they	PRON
fumecheng-11851	368	2	involve	involve	VERB
fumecheng-11851	368	3	flat	flat	ADJ
fumecheng-11851	368	4	and	and	CCONJ
fumecheng-11851	368	5	curved	curved	ADJ
fumecheng-11851	368	6	structures	structure	NOUN
fumecheng-11851	368	7	.	.	PUNCT
fumecheng-11851	369	1	but	but	CCONJ
fumecheng-11851	369	2	it	it	PRON
fumecheng-11851	369	3	should	should	AUX
fumecheng-11851	369	4	be	be	AUX
fumecheng-11851	369	5	emphasized	emphasize	VERB
fumecheng-11851	369	6	that	that	SCONJ
fumecheng-11851	369	7	although	although	SCONJ
fumecheng-11851	369	8	the	the	DET
fumecheng-11851	369	9	considered	consider	VERB
fumecheng-11851	369	10	structure	structure	NOUN
fumecheng-11851	369	11	is	be	AUX
fumecheng-11851	369	12	flat	flat	ADJ
fumecheng-11851	369	13	in	in	ADP
fumecheng-11851	369	14	the	the	DET
fumecheng-11851	369	15	first	first	ADJ
fumecheng-11851	369	16	set	set	NOUN
fumecheng-11851	369	17	of	of	ADP
fumecheng-11851	369	18	examples	example	NOUN
fumecheng-11851	369	19	,	,	PUNCT
fumecheng-11851	369	20	it	it	PRON
fumecheng-11851	369	21	is	be	AUX
fumecheng-11851	369	22	essentially	essentially	ADV
fumecheng-11851	369	23	dealt	deal	VERB
fumecheng-11851	369	24	with	with	ADP
fumecheng-11851	369	25	a	a	DET
fumecheng-11851	369	26	shell	shell	ADJ
fumecheng-11851	369	27	structure	structure	NOUN
fumecheng-11851	369	28	in	in	ADP
fumecheng-11851	369	29	the	the	DET
fumecheng-11851	369	30	geometrically	geometrically	ADV
fumecheng-11851	369	31	nonlinear	nonlinear	ADJ
fumecheng-11851	369	32	analysis	analysis	NOUN
fumecheng-11851	369	33	as	as	SCONJ
fumecheng-11851	369	34	the	the	DET
fumecheng-11851	369	35	deformed	deform	VERB
fumecheng-11851	369	36	structure	structure	NOUN
fumecheng-11851	369	37	is	be	AUX
fumecheng-11851	369	38	curved	curve	VERB
fumecheng-11851	369	39	.	.	PUNCT
fumecheng-11851	370	1	the	the	DET
fumecheng-11851	370	2	computations	computation	NOUN
fumecheng-11851	370	3	were	be	AUX
fumecheng-11851	370	4	done	do	VERB
fumecheng-11851	370	5	for	for	ADP
fumecheng-11851	370	6	both	both	DET
fumecheng-11851	370	7	purely	purely	ADV
fumecheng-11851	370	8	mechanical	mechanical	ADJ
fumecheng-11851	370	9	and	and	CCONJ
fumecheng-11851	370	10	electric	electric	ADJ
fumecheng-11851	370	11	excitations	excitation	NOUN
fumecheng-11851	370	12	.	.	PUNCT
fumecheng-11851	371	1	also	also	ADV
fumecheng-11851	371	2	,	,	PUNCT
fumecheng-11851	371	3	the	the	DET
fumecheng-11851	371	4	actuator	actuator	NOUN
fumecheng-11851	371	5	and	and	CCONJ
fumecheng-11851	371	6	sensor	sensor	NOUN
fumecheng-11851	371	7	function	function	NOUN
fumecheng-11851	371	8	of	of	ADP
fumecheng-11851	371	9	active	active	ADJ
fumecheng-11851	371	10	layers	layer	NOUN
fumecheng-11851	371	11	were	be	AUX
fumecheng-11851	371	12	covered	cover	VERB
fumecheng-11851	371	13	.	.	PUNCT
fumecheng-11851	372	1	it	it	PRON
fumecheng-11851	372	2	was	be	AUX
fumecheng-11851	372	3	shown	show	VERB
fumecheng-11851	372	4	that	that	SCONJ
fumecheng-11851	372	5	the	the	DET
fumecheng-11851	372	6	proposed	propose	VERB
fumecheng-11851	372	7	formulation	formulation	NOUN
fumecheng-11851	372	8	successfully	successfully	ADV
fumecheng-11851	372	9	covers	cover	VERB
fumecheng-11851	372	10	all	all	DET
fumecheng-11851	372	11	the	the	DET
fumecheng-11851	372	12	mentioned	mention	VERB
fumecheng-11851	372	13	features	feature	NOUN
fumecheng-11851	372	14	and	and	CCONJ
fumecheng-11851	372	15	represents	represent	VERB
fumecheng-11851	372	16	a	a	DET
fumecheng-11851	372	17	good	good	ADJ
fumecheng-11851	372	18	match	match	NOUN
fumecheng-11851	372	19	for	for	ADP
fumecheng-11851	372	20	the	the	DET
fumecheng-11851	372	21	elements	element	NOUN
fumecheng-11851	372	22	based	base	VERB
fumecheng-11851	372	23	on	on	ADP
fumecheng-11851	372	24	the	the	DET
fumecheng-11851	372	25	classical	classical	ADJ
fumecheng-11851	372	26	fe	fe	NOUN
fumecheng-11851	372	27	formulation	formulation	NOUN
fumecheng-11851	372	28	.	.	PUNCT
fumecheng-11851	373	1	in	in	ADP
fumecheng-11851	373	2	the	the	DET
fumecheng-11851	373	3	future	future	ADJ
fumecheng-11851	373	4	work	work	NOUN
fumecheng-11851	373	5	,	,	PUNCT
fumecheng-11851	373	6	the	the	DET
fumecheng-11851	373	7	performance	performance	NOUN
fumecheng-11851	373	8	of	of	ADP
fumecheng-11851	373	9	the	the	DET
fumecheng-11851	373	10	developed	develop	VERB
fumecheng-11851	373	11	isogeometric	isogeometric	ADJ
fumecheng-11851	373	12	formulation	formulation	NOUN
fumecheng-11851	373	13	with	with	ADP
fumecheng-11851	373	14	the	the	DET
fumecheng-11851	373	15	mesh	mesh	NOUN
fumecheng-11851	373	16	refinement	refinement	NOUN
fumecheng-11851	373	17	should	should	AUX
fumecheng-11851	373	18	be	be	AUX
fumecheng-11851	373	19	addressed	address	VERB
fumecheng-11851	373	20	.	.	PUNCT
fumecheng-11851	374	1	also	also	ADV
fumecheng-11851	374	2	,	,	PUNCT
fumecheng-11851	374	3	the	the	DET
fumecheng-11851	374	4	formulation	formulation	NOUN
fumecheng-11851	374	5	should	should	AUX
fumecheng-11851	374	6	be	be	AUX
fumecheng-11851	374	7	extended	extend	VERB
fumecheng-11851	374	8	to	to	PART
fumecheng-11851	374	9	cover	cover	VERB
fumecheng-11851	374	10	material	material	NOUN
fumecheng-11851	374	11	nonlinearities	nonlinearitie	NOUN
fumecheng-11851	374	12	in	in	ADP
fumecheng-11851	374	13	the	the	DET
fumecheng-11851	374	14	piezoelectric	piezoelectric	ADJ
fumecheng-11851	374	15	layers	layer	NOUN
fumecheng-11851	374	16	that	that	PRON
fumecheng-11851	374	17	occur	occur	VERB
fumecheng-11851	374	18	at	at	ADP
fumecheng-11851	374	19	higher	high	ADJ
fumecheng-11851	374	20	voltages	voltage	NOUN
fumecheng-11851	374	21	.	.	PUNCT
fumecheng-11851	375	1	acknowledgement	acknowledgement	NOUN
fumecheng-11851	375	2	:	:	PUNCT
fumecheng-11851	375	3	this	this	DET
fumecheng-11851	375	4	research	research	NOUN
fumecheng-11851	375	5	was	be	AUX
fumecheng-11851	375	6	financially	financially	ADV
fumecheng-11851	375	7	supported	support	VERB
fumecheng-11851	375	8	by	by	ADP
fumecheng-11851	375	9	the	the	DET
fumecheng-11851	375	10	ministry	ministry	PROPN
fumecheng-11851	375	11	of	of	ADP
fumecheng-11851	375	12	science	science	PROPN
fumecheng-11851	375	13	,	,	PUNCT
fumecheng-11851	375	14	technological	technological	ADJ
fumecheng-11851	375	15	development	development	NOUN
fumecheng-11851	375	16	and	and	CCONJ
fumecheng-11851	375	17	innovation	innovation	NOUN
fumecheng-11851	375	18	of	of	ADP
fumecheng-11851	375	19	the	the	DET
fumecheng-11851	375	20	republic	republic	NOUN
fumecheng-11851	375	21	of	of	ADP
fumecheng-11851	375	22	serbia	serbia	PROPN
fumecheng-11851	375	23	(	(	PUNCT
fumecheng-11851	375	24	contract	contract	NOUN
fumecheng-11851	375	25	no	no	INTJ
fumecheng-11851	375	26	.	.	PUNCT
fumecheng-11851	376	1	451	451	NUM
fumecheng-11851	376	2	-	-	SYM
fumecheng-11851	376	3	03	03	NUM
fumecheng-11851	376	4	-	-	PUNCT
fumecheng-11851	376	5	47/2023	47/2023	NUM
fumecheng-11851	376	6	-	-	PUNCT
fumecheng-11851	376	7	01/	01/	NUM
fumecheng-11851	376	8	200109	200109	NUM
fumecheng-11851	376	9	)	)	PUNCT
fumecheng-11851	376	10	and	and	CCONJ
fumecheng-11851	376	11	by	by	ADP
fumecheng-11851	376	12	the	the	DET
fumecheng-11851	376	13	science	science	NOUN
fumecheng-11851	376	14	fund	fund	NOUN
fumecheng-11851	376	15	of	of	ADP
fumecheng-11851	376	16	the	the	DET
fumecheng-11851	376	17	republic	republic	NOUN
fumecheng-11851	376	18	of	of	ADP
fumecheng-11851	376	19	serbia	serbia	PROPN
fumecheng-11851	376	20	(	(	PUNCT
fumecheng-11851	376	21	serbian	serbian	ADJ
fumecheng-11851	376	22	science	science	NOUN
fumecheng-11851	376	23	and	and	CCONJ
fumecheng-11851	376	24	diaspora	diaspora	PROPN
fumecheng-11851	376	25	collaboration	collaboration	NOUN
fumecheng-11851	376	26	program	program	NOUN
fumecheng-11851	376	27	,	,	PUNCT
fumecheng-11851	376	28	grant	grant	VERB
fumecheng-11851	376	29	no	no	NOUN
fumecheng-11851	376	30	.	.	NOUN
fumecheng-11851	376	31	6497585	6497585	NUM
fumecheng-11851	376	32	)	)	PUNCT
fumecheng-11851	376	33	.	.	PUNCT
fumecheng-11851	377	1	404	404	NUM
fumecheng-11851	377	2	p.	p.	NOUN
fumecheng-11851	377	3	milić	milić	NOUN
fumecheng-11851	377	4	,	,	PUNCT
fumecheng-11851	377	5	d.	d.	PROPN
fumecheng-11851	377	6	marinković	marinković	PROPN
fumecheng-11851	377	7	,	,	PUNCT
fumecheng-11851	377	8	ž	ž	PROPN
fumecheng-11851	377	9	.	.	PUNCT
fumecheng-11851	378	1	ćojbašić	ćojbašić	PROPN
fumecheng-11851	378	2	references	reference	NOUN
fumecheng-11851	378	3	1	1	NUM
fumecheng-11851	378	4	.	.	X
fumecheng-11851	379	1	wang	wang	PROPN
fumecheng-11851	379	2	,	,	PUNCT
fumecheng-11851	379	3	k.	k.	PROPN
fumecheng-11851	379	4	,	,	PUNCT
fumecheng-11851	379	5	alaluf	alaluf	PROPN
fumecheng-11851	379	6	,	,	PUNCT
fumecheng-11851	379	7	d.	d.	PROPN
fumecheng-11851	379	8	,	,	PUNCT
fumecheng-11851	379	9	rodrigues	rodrigues	PROPN
fumecheng-11851	379	10	,	,	PUNCT
fumecheng-11851	379	11	g.	g.	PROPN
fumecheng-11851	379	12	,	,	PUNCT
fumecheng-11851	379	13	preumont	preumont	NOUN
fumecheng-11851	379	14	,	,	PUNCT
fumecheng-11851	379	15	a.	a.	NOUN
fumecheng-11851	379	16	,	,	PUNCT
fumecheng-11851	379	17	2021	2021	NUM
fumecheng-11851	379	18	,	,	PUNCT
fumecheng-11851	379	19	precision	precision	NOUN
fumecheng-11851	379	20	shape	shape	NOUN
fumecheng-11851	379	21	control	control	NOUN
fumecheng-11851	379	22	of	of	ADP
fumecheng-11851	379	23	ultra	ultra	ADJ
fumecheng-11851	379	24	-	-	ADJ
fumecheng-11851	379	25	thin	thin	ADJ
fumecheng-11851	379	26	shells	shell	NOUN
fumecheng-11851	379	27	with	with	ADP
fumecheng-11851	379	28	strain	strain	NOUN
fumecheng-11851	379	29	actuators	actuator	NOUN
fumecheng-11851	379	30	,	,	PUNCT
fumecheng-11851	379	31	journal	journal	NOUN
fumecheng-11851	379	32	of	of	ADP
fumecheng-11851	379	33	applied	applied	ADJ
fumecheng-11851	379	34	and	and	CCONJ
fumecheng-11851	379	35	computational	computational	ADJ
fumecheng-11851	379	36	mechanics	mechanic	NOUN
fumecheng-11851	379	37	,	,	PUNCT
fumecheng-11851	379	38	7(special	7(special	ADJ
fumecheng-11851	379	39	issue	issue	NOUN
fumecheng-11851	379	40	)	)	PUNCT
fumecheng-11851	379	41	,	,	PUNCT
fumecheng-11851	379	42	pp	pp	PROPN
fumecheng-11851	379	43	.	.	PUNCT
fumecheng-11851	380	1	1130	1130	NUM
fumecheng-11851	380	2	-	-	SYM
fumecheng-11851	380	3	1137	1137	NUM
fumecheng-11851	380	4	.	.	PUNCT
fumecheng-11851	381	1	2	2	X
fumecheng-11851	381	2	.	.	X
fumecheng-11851	381	3	todorov	todorov	NOUN
fumecheng-11851	381	4	,	,	PUNCT
fumecheng-11851	381	5	t.	t.	PROPN
fumecheng-11851	381	6	,	,	PUNCT
fumecheng-11851	381	7	mitrev	mitrev	PROPN
fumecheng-11851	381	8	,	,	PUNCT
fumecheng-11851	381	9	r.	r.	PROPN
fumecheng-11851	381	10	,	,	PUNCT
fumecheng-11851	381	11	penev	penev	NOUN
fumecheng-11851	381	12	,	,	PUNCT
fumecheng-11851	381	13	i.	i.	NOUN
fumecheng-11851	381	14	,	,	PUNCT
fumecheng-11851	381	15	2020	2020	NUM
fumecheng-11851	381	16	,	,	PUNCT
fumecheng-11851	381	17	force	force	VERB
fumecheng-11851	381	18	analysis	analysis	NOUN
fumecheng-11851	381	19	and	and	CCONJ
fumecheng-11851	381	20	kinematic	kinematic	ADJ
fumecheng-11851	381	21	optimization	optimization	NOUN
fumecheng-11851	381	22	of	of	ADP
fumecheng-11851	381	23	a	a	DET
fumecheng-11851	381	24	fluid	fluid	ADJ
fumecheng-11851	381	25	valve	valve	NOUN
fumecheng-11851	381	26	driven	drive	VERB
fumecheng-11851	381	27	by	by	ADP
fumecheng-11851	381	28	shape	shape	NOUN
fumecheng-11851	381	29	memory	memory	NOUN
fumecheng-11851	381	30	alloys	alloy	NOUN
fumecheng-11851	381	31	,	,	PUNCT
fumecheng-11851	381	32	reports	report	NOUN
fumecheng-11851	381	33	in	in	ADP
fumecheng-11851	381	34	mechanical	mechanical	ADJ
fumecheng-11851	381	35	engineering	engineering	NOUN
fumecheng-11851	381	36	,	,	PUNCT
fumecheng-11851	381	37	1(1	1(1	NUM
fumecheng-11851	381	38	)	)	PUNCT
fumecheng-11851	381	39	,	,	PUNCT
fumecheng-11851	381	40	pp	pp	ADP
fumecheng-11851	381	41	.	.	PUNCT
fumecheng-11851	382	1	61	61	NUM
fumecheng-11851	382	2	-	-	SYM
fumecheng-11851	382	3	76	76	NUM
fumecheng-11851	382	4	.	.	PUNCT
fumecheng-11851	383	1	3	3	X
fumecheng-11851	383	2	.	.	X
fumecheng-11851	383	3	preumont	preumont	NOUN
fumecheng-11851	383	4	,	,	PUNCT
fumecheng-11851	383	5	a.	a.	NOUN
fumecheng-11851	383	6	,	,	PUNCT
fumecheng-11851	383	7	2018	2018	NUM
fumecheng-11851	383	8	,	,	PUNCT
fumecheng-11851	383	9	vibration	vibration	NOUN
fumecheng-11851	383	10	control	control	NOUN
fumecheng-11851	383	11	of	of	ADP
fumecheng-11851	383	12	active	active	ADJ
fumecheng-11851	383	13	structures	structure	NOUN
fumecheng-11851	383	14	,	,	PUNCT
fumecheng-11851	383	15	springer	springer	NOUN
fumecheng-11851	383	16	cham	cham	PROPN
fumecheng-11851	383	17	,	,	PUNCT
fumecheng-11851	383	18	518	518	NUM
fumecheng-11851	383	19	p.	p.	NOUN
fumecheng-11851	383	20	4	4	NUM
fumecheng-11851	383	21	.	.	X
fumecheng-11851	384	1	mitrev	mitrev	PROPN
fumecheng-11851	384	2	,	,	PUNCT
fumecheng-11851	384	3	r.	r.	PROPN
fumecheng-11851	384	4	,	,	PUNCT
fumecheng-11851	384	5	todorov	todorov	NOUN
fumecheng-11851	384	6	,	,	PUNCT
fumecheng-11851	384	7	t.	t.	PROPN
fumecheng-11851	384	8	,	,	PUNCT
fumecheng-11851	384	9	fursov	fursov	PROPN
fumecheng-11851	384	10	,	,	PUNCT
fumecheng-11851	384	11	a.	a.	NOUN
fumecheng-11851	384	12	,	,	PUNCT
fumecheng-11851	384	13	fomichev	fomichev	PROPN
fumecheng-11851	384	14	,	,	PUNCT
fumecheng-11851	384	15	v.	v.	ADV
fumecheng-11851	384	16	,	,	PUNCT
fumecheng-11851	384	17	il'in	il'in	NOUN
fumecheng-11851	384	18	,	,	PUNCT
fumecheng-11851	384	19	a.	a.	NOUN
fumecheng-11851	384	20	,	,	PUNCT
fumecheng-11851	384	21	2021	2021	NUM
fumecheng-11851	384	22	,	,	PUNCT
fumecheng-11851	384	23	a	a	DET
fumecheng-11851	384	24	case	case	NOUN
fumecheng-11851	384	25	study	study	NOUN
fumecheng-11851	384	26	of	of	ADP
fumecheng-11851	384	27	combined	combined	ADJ
fumecheng-11851	384	28	application	application	NOUN
fumecheng-11851	384	29	of	of	ADP
fumecheng-11851	384	30	smart	smart	ADJ
fumecheng-11851	384	31	materials	material	NOUN
fumecheng-11851	384	32	in	in	ADP
fumecheng-11851	384	33	a	a	DET
fumecheng-11851	384	34	thermal	thermal	ADJ
fumecheng-11851	384	35	energy	energy	NOUN
fumecheng-11851	384	36	harvester	harvester	NOUN
fumecheng-11851	384	37	with	with	ADP
fumecheng-11851	384	38	vibrating	vibrate	VERB
fumecheng-11851	384	39	action	action	NOUN
fumecheng-11851	384	40	,	,	PUNCT
fumecheng-11851	384	41	journal	journal	NOUN
fumecheng-11851	384	42	of	of	ADP
fumecheng-11851	384	43	applied	applied	ADJ
fumecheng-11851	384	44	and	and	CCONJ
fumecheng-11851	384	45	computational	computational	ADJ
fumecheng-11851	384	46	mechanics	mechanic	NOUN
fumecheng-11851	384	47	,	,	PUNCT
fumecheng-11851	384	48	7(1	7(1	NUM
fumecheng-11851	384	49	)	)	PUNCT
fumecheng-11851	384	50	,	,	PUNCT
fumecheng-11851	384	51	pp	pp	PROPN
fumecheng-11851	384	52	.	.	PUNCT
fumecheng-11851	385	1	372	372	NUM
fumecheng-11851	385	2	-	-	SYM
fumecheng-11851	385	3	381	381	NUM
fumecheng-11851	385	4	.	.	NOUN
fumecheng-11851	386	1	5	5	NUM
fumecheng-11851	386	2	.	.	X
fumecheng-11851	386	3	nguyen	nguyen	NOUN
fumecheng-11851	386	4	,	,	PUNCT
fumecheng-11851	386	5	x.	x.	PROPN
fumecheng-11851	386	6	,	,	PUNCT
fumecheng-11851	386	7	nguyen	nguyen	PROPN
fumecheng-11851	386	8	,	,	PUNCT
fumecheng-11851	386	9	h.	h.	PROPN
fumecheng-11851	386	10	,	,	PUNCT
fumecheng-11851	386	11	2022	2022	NUM
fumecheng-11851	386	12	,	,	PUNCT
fumecheng-11851	386	13	investigation	investigation	NOUN
fumecheng-11851	386	14	of	of	ADP
fumecheng-11851	386	15	influences	influence	NOUN
fumecheng-11851	386	16	of	of	ADP
fumecheng-11851	386	17	fabrication	fabrication	NOUN
fumecheng-11851	386	18	tolerances	tolerance	NOUN
fumecheng-11851	386	19	on	on	ADP
fumecheng-11851	386	20	operational	operational	ADJ
fumecheng-11851	386	21	characteristics	characteristic	NOUN
fumecheng-11851	386	22	of	of	ADP
fumecheng-11851	386	23	piezo	piezo	ADJ
fumecheng-11851	386	24	-	-	ADJ
fumecheng-11851	386	25	actuated	actuate	VERB
fumecheng-11851	386	26	stick	stick	NOUN
fumecheng-11851	386	27	-	-	PUNCT
fumecheng-11851	386	28	slip	slip	NOUN
fumecheng-11851	386	29	micro	micro	NOUN
fumecheng-11851	386	30	-	-	NOUN
fumecheng-11851	386	31	drives	drive	NOUN
fumecheng-11851	386	32	,	,	PUNCT
fumecheng-11851	386	33	facta	facta	PROPN
fumecheng-11851	386	34	universitatis	universitatis	PROPN
fumecheng-11851	386	35	-	-	PUNCT
fumecheng-11851	386	36	series	series	NOUN
fumecheng-11851	386	37	mechanical	mechanical	ADJ
fumecheng-11851	386	38	engineering	engineering	NOUN
fumecheng-11851	386	39	,	,	PUNCT
fumecheng-11851	386	40	20(1	20(1	NUM
fumecheng-11851	386	41	)	)	PUNCT
fumecheng-11851	386	42	,	,	PUNCT
fumecheng-11851	387	1	pp	pp	ADP
fumecheng-11851	387	2	.	.	PUNCT
fumecheng-11851	388	1	109	109	NUM
fumecheng-11851	388	2	-	-	SYM
fumecheng-11851	388	3	126	126	NUM
fumecheng-11851	388	4	.	.	PUNCT
fumecheng-11851	389	1	6	6	NUM
fumecheng-11851	389	2	.	.	X
fumecheng-11851	389	3	shao	shao	PROPN
fumecheng-11851	389	4	,	,	PUNCT
fumecheng-11851	389	5	s.	s.	PROPN
fumecheng-11851	389	6	,	,	PUNCT
fumecheng-11851	389	7	song	song	NOUN
fumecheng-11851	389	8	,	,	PUNCT
fumecheng-11851	389	9	s.	s.	PROPN
fumecheng-11851	389	10	,	,	PUNCT
fumecheng-11851	389	11	xu	xu	PROPN
fumecheng-11851	389	12	,	,	PUNCT
fumecheng-11851	389	13	m.	m.	NOUN
fumecheng-11851	389	14	,	,	PUNCT
fumecheng-11851	389	15	jiang	jiang	PROPN
fumecheng-11851	389	16	,	,	PUNCT
fumecheng-11851	389	17	w.	w.	PROPN
fumecheng-11851	389	18	,	,	PUNCT
fumecheng-11851	389	19	2018	2018	NUM
fumecheng-11851	389	20	,	,	PUNCT
fumecheng-11851	389	21	mechanically	mechanically	ADV
fumecheng-11851	389	22	reconfigurable	reconfigurable	ADJ
fumecheng-11851	389	23	reflector	reflector	NOUN
fumecheng-11851	389	24	for	for	ADP
fumecheng-11851	389	25	future	future	ADJ
fumecheng-11851	389	26	smart	smart	ADJ
fumecheng-11851	389	27	space	space	NOUN
fumecheng-11851	389	28	antenna	antenna	NOUN
fumecheng-11851	389	29	application	application	NOUN
fumecheng-11851	389	30	,	,	PUNCT
fumecheng-11851	389	31	smart	smart	ADJ
fumecheng-11851	389	32	materials	material	NOUN
fumecheng-11851	389	33	and	and	CCONJ
fumecheng-11851	389	34	structures	structure	NOUN
fumecheng-11851	389	35	,	,	PUNCT
fumecheng-11851	389	36	27(9	27(9	NOUN
fumecheng-11851	389	37	)	)	PUNCT
fumecheng-11851	389	38	,	,	PUNCT
fumecheng-11851	389	39	095014	095014	NUM
fumecheng-11851	389	40	.	.	PUNCT
fumecheng-11851	390	1	7	7	X
fumecheng-11851	390	2	.	.	X
fumecheng-11851	390	3	kulkarni	kulkarni	PROPN
fumecheng-11851	390	4	,	,	PUNCT
fumecheng-11851	390	5	h.	h.	PROPN
fumecheng-11851	390	6	,	,	PUNCT
fumecheng-11851	390	7	zohaib	zohaib	PROPN
fumecheng-11851	390	8	,	,	PUNCT
fumecheng-11851	390	9	k.	k.	PROPN
fumecheng-11851	390	10	,	,	PUNCT
fumecheng-11851	390	11	khusru	khusru	PROPN
fumecheng-11851	390	12	,	,	PUNCT
fumecheng-11851	390	13	a.	a.	NOUN
fumecheng-11851	390	14	,	,	PUNCT
fumecheng-11851	390	15	shravan	shravan	PROPN
fumecheng-11851	390	16	-	-	PUNCT
fumecheng-11851	390	17	aiyappa	aiyappa	PROPN
fumecheng-11851	390	18	,	,	PUNCT
fumecheng-11851	390	19	k.	k.	PROPN
fumecheng-11851	390	20	,	,	PUNCT
fumecheng-11851	390	21	2018	2018	NUM
fumecheng-11851	390	22	,	,	PUNCT
fumecheng-11851	390	23	application	application	NOUN
fumecheng-11851	390	24	of	of	ADP
fumecheng-11851	390	25	piezoelectric	piezoelectric	ADJ
fumecheng-11851	390	26	technology	technology	NOUN
fumecheng-11851	390	27	in	in	ADP
fumecheng-11851	390	28	automotive	automotive	ADJ
fumecheng-11851	390	29	systems	system	NOUN
fumecheng-11851	390	30	,	,	PUNCT
fumecheng-11851	390	31	materials	material	NOUN
fumecheng-11851	390	32	today	today	NOUN
fumecheng-11851	390	33	:	:	PUNCT
fumecheng-11851	390	34	proceedings	proceeding	NOUN
fumecheng-11851	390	35	,	,	PUNCT
fumecheng-11851	390	36	5(10	5(10	NUM
fumecheng-11851	390	37	,	,	PUNCT
fumecheng-11851	390	38	part	part	NOUN
fumecheng-11851	390	39	1	1	NUM
fumecheng-11851	390	40	)	)	PUNCT
fumecheng-11851	390	41	,	,	PUNCT
fumecheng-11851	390	42	pp	pp	ADJ
fumecheng-11851	390	43	.	.	PUNCT
fumecheng-11851	390	44	21299	21299	NUM
fumecheng-11851	390	45	-	-	SYM
fumecheng-11851	390	46	21304	21304	NUM
fumecheng-11851	390	47	.	.	PUNCT
fumecheng-11851	391	1	8	8	X
fumecheng-11851	391	2	.	.	X
fumecheng-11851	391	3	nestorović	nestorović	NOUN
fumecheng-11851	391	4	,	,	PUNCT
fumecheng-11851	391	5	t.	t.	PROPN
fumecheng-11851	391	6	,	,	PUNCT
fumecheng-11851	391	7	marinković	marinković	PROPN
fumecheng-11851	391	8	,	,	PUNCT
fumecheng-11851	391	9	d.	d.	PROPN
fumecheng-11851	391	10	,	,	PUNCT
fumecheng-11851	391	11	chandrashekar	chandrashekar	PROPN
fumecheng-11851	391	12	,	,	PUNCT
fumecheng-11851	391	13	g.	g.	PROPN
fumecheng-11851	391	14	,	,	PUNCT
fumecheng-11851	391	15	marinković	marinković	PROPN
fumecheng-11851	391	16	,	,	PUNCT
fumecheng-11851	391	17	z.	z.	PROPN
fumecheng-11851	391	18	,	,	PUNCT
fumecheng-11851	391	19	trajkov	trajkov	PROPN
fumecheng-11851	391	20	,	,	PUNCT
fumecheng-11851	391	21	m.	m.	NOUN
fumecheng-11851	391	22	,	,	PUNCT
fumecheng-11851	391	23	2012	2012	NUM
fumecheng-11851	391	24	,	,	PUNCT
fumecheng-11851	391	25	implementation	implementation	NOUN
fumecheng-11851	391	26	of	of	ADP
fumecheng-11851	391	27	a	a	DET
fumecheng-11851	391	28	user	user	NOUN
fumecheng-11851	391	29	defined	define	VERB
fumecheng-11851	391	30	piezoelectric	piezoelectric	ADJ
fumecheng-11851	391	31	shell	shell	NOUN
fumecheng-11851	391	32	element	element	NOUN
fumecheng-11851	391	33	for	for	ADP
fumecheng-11851	391	34	analysis	analysis	NOUN
fumecheng-11851	391	35	of	of	ADP
fumecheng-11851	391	36	active	active	ADJ
fumecheng-11851	391	37	structures	structure	NOUN
fumecheng-11851	391	38	,	,	PUNCT
fumecheng-11851	391	39	finite	finite	ADJ
fumecheng-11851	391	40	elements	element	NOUN
fumecheng-11851	391	41	in	in	ADP
fumecheng-11851	391	42	analysis	analysis	NOUN
fumecheng-11851	391	43	and	and	CCONJ
fumecheng-11851	391	44	design	design	NOUN
fumecheng-11851	391	45	,	,	PUNCT
fumecheng-11851	391	46	52	52	NUM
fumecheng-11851	391	47	,	,	PUNCT
fumecheng-11851	391	48	pp	pp	ADJ
fumecheng-11851	391	49	.	.	PUNCT
fumecheng-11851	392	1	11	11	NUM
fumecheng-11851	392	2	-	-	SYM
fumecheng-11851	392	3	22	22	NUM
fumecheng-11851	392	4	.	.	PUNCT
fumecheng-11851	393	1	9	9	NUM
fumecheng-11851	393	2	.	.	X
fumecheng-11851	393	3	rama	rama	PROPN
fumecheng-11851	393	4	,	,	PUNCT
fumecheng-11851	393	5	g.	g.	PROPN
fumecheng-11851	393	6	,	,	PUNCT
fumecheng-11851	393	7	marinković	marinković	PROPN
fumecheng-11851	393	8	,	,	PUNCT
fumecheng-11851	393	9	d.	d.	PROPN
fumecheng-11851	393	10	,	,	PUNCT
fumecheng-11851	393	11	zehn	zehn	PROPN
fumecheng-11851	393	12	,	,	PUNCT
fumecheng-11851	393	13	m.	m.	NOUN
fumecheng-11851	393	14	,	,	PUNCT
fumecheng-11851	393	15	2018	2018	NUM
fumecheng-11851	393	16	,	,	PUNCT
fumecheng-11851	393	17	efficient	efficient	ADJ
fumecheng-11851	393	18	three	three	NUM
fumecheng-11851	393	19	-	-	PUNCT
fumecheng-11851	393	20	node	node	ADJ
fumecheng-11851	393	21	finite	finite	PROPN
fumecheng-11851	393	22	shell	shell	NOUN
fumecheng-11851	393	23	element	element	NOUN
fumecheng-11851	393	24	for	for	ADP
fumecheng-11851	393	25	linear	linear	PROPN
fumecheng-11851	393	26	and	and	CCONJ
fumecheng-11851	393	27	geometrically	geometrically	ADV
fumecheng-11851	393	28	nonlinear	nonlinear	ADJ
fumecheng-11851	393	29	analyses	analysis	NOUN
fumecheng-11851	393	30	of	of	ADP
fumecheng-11851	393	31	piezoelectric	piezoelectric	ADJ
fumecheng-11851	393	32	laminated	laminate	VERB
fumecheng-11851	393	33	structures	structure	NOUN
fumecheng-11851	393	34	,	,	PUNCT
fumecheng-11851	393	35	journal	journal	NOUN
fumecheng-11851	393	36	of	of	ADP
fumecheng-11851	393	37	intelligent	intelligent	ADJ
fumecheng-11851	393	38	material	material	NOUN
fumecheng-11851	393	39	systems	system	NOUN
fumecheng-11851	393	40	and	and	CCONJ
fumecheng-11851	393	41	structures	structure	NOUN
fumecheng-11851	393	42	,	,	PUNCT
fumecheng-11851	393	43	29(3	29(3	NUM
fumecheng-11851	393	44	)	)	PUNCT
fumecheng-11851	393	45	,	,	PUNCT
fumecheng-11851	393	46	pp	pp	CCONJ
fumecheng-11851	393	47	,	,	PUNCT
fumecheng-11851	393	48	345	345	NUM
fumecheng-11851	393	49	-	-	SYM
fumecheng-11851	393	50	357	357	NUM
fumecheng-11851	393	51	.	.	PUNCT
fumecheng-11851	393	52	10	10	NUM
fumecheng-11851	393	53	.	.	PUNCT
fumecheng-11851	394	1	carrera	carrera	PROPN
fumecheng-11851	394	2	,	,	PUNCT
fumecheng-11851	394	3	e.	e.	PROPN
fumecheng-11851	394	4	,	,	PUNCT
fumecheng-11851	394	5	valvano	valvano	PROPN
fumecheng-11851	394	6	,	,	PUNCT
fumecheng-11851	394	7	s.	s.	PROPN
fumecheng-11851	394	8	,	,	PUNCT
fumecheng-11851	394	9	kulikov	kulikov	PROPN
fumecheng-11851	394	10	,	,	PUNCT
fumecheng-11851	394	11	g.m	g.m	PROPN
fumecheng-11851	394	12	.	.	PROPN
fumecheng-11851	394	13	,	,	PUNCT
fumecheng-11851	394	14	2018	2018	NUM
fumecheng-11851	394	15	,	,	PUNCT
fumecheng-11851	394	16	electro	electro	ADJ
fumecheng-11851	394	17	-	-	PUNCT
fumecheng-11851	394	18	mechanical	mechanical	ADJ
fumecheng-11851	394	19	analysis	analysis	NOUN
fumecheng-11851	394	20	of	of	ADP
fumecheng-11851	394	21	composite	composite	ADJ
fumecheng-11851	394	22	and	and	CCONJ
fumecheng-11851	394	23	sandwich	sandwich	NOUN
fumecheng-11851	394	24	multilayered	multilayere	VERB
fumecheng-11851	394	25	structures	structure	NOUN
fumecheng-11851	394	26	by	by	ADP
fumecheng-11851	394	27	shell	shell	ADJ
fumecheng-11851	394	28	elements	element	NOUN
fumecheng-11851	394	29	with	with	ADP
fumecheng-11851	394	30	node	node	NOUN
fumecheng-11851	394	31	-	-	PUNCT
fumecheng-11851	394	32	dependent	dependent	ADJ
fumecheng-11851	394	33	kinematics	kinematic	NOUN
fumecheng-11851	394	34	,	,	PUNCT
fumecheng-11851	394	35	international	international	ADJ
fumecheng-11851	394	36	journal	journal	NOUN
fumecheng-11851	394	37	of	of	ADP
fumecheng-11851	394	38	smart	smart	ADJ
fumecheng-11851	394	39	and	and	CCONJ
fumecheng-11851	394	40	nano	nano	NOUN
fumecheng-11851	394	41	materials	material	NOUN
fumecheng-11851	394	42	,	,	PUNCT
fumecheng-11851	394	43	9(1	9(1	NUM
fumecheng-11851	394	44	)	)	PUNCT
fumecheng-11851	394	45	,	,	PUNCT
fumecheng-11851	394	46	pp	pp	ADJ
fumecheng-11851	394	47	.	.	PUNCT
fumecheng-11851	395	1	1	1	NUM
fumecheng-11851	395	2	-	-	SYM
fumecheng-11851	395	3	33	33	NUM
fumecheng-11851	395	4	.	.	PUNCT
fumecheng-11851	396	1	11	11	NUM
fumecheng-11851	396	2	.	.	PUNCT
fumecheng-11851	397	1	rama	rama	PROPN
fumecheng-11851	397	2	,	,	PUNCT
fumecheng-11851	397	3	g.	g.	PROPN
fumecheng-11851	397	4	,	,	PUNCT
fumecheng-11851	397	5	marinkovic	marinkovic	PROPN
fumecheng-11851	397	6	,	,	PUNCT
fumecheng-11851	397	7	d.z	d.z	PROPN
fumecheng-11851	397	8	.	.	PROPN
fumecheng-11851	397	9	,	,	PUNCT
fumecheng-11851	397	10	zehn	zehn	PROPN
fumecheng-11851	397	11	,	,	PUNCT
fumecheng-11851	397	12	m.w	m.w	PROPN
fumecheng-11851	397	13	.	.	PROPN
fumecheng-11851	397	14	,	,	PUNCT
fumecheng-11851	397	15	2017	2017	NUM
fumecheng-11851	397	16	,	,	PUNCT
fumecheng-11851	397	17	linear	linear	ADJ
fumecheng-11851	397	18	shell	shell	NOUN
fumecheng-11851	397	19	elements	element	NOUN
fumecheng-11851	397	20	for	for	ADP
fumecheng-11851	397	21	active	active	ADJ
fumecheng-11851	397	22	piezoelectric	piezoelectric	ADJ
fumecheng-11851	397	23	laminates	laminate	NOUN
fumecheng-11851	397	24	,	,	PUNCT
fumecheng-11851	397	25	smart	smart	ADJ
fumecheng-11851	397	26	structures	structure	NOUN
fumecheng-11851	397	27	and	and	CCONJ
fumecheng-11851	397	28	systems	system	NOUN
fumecheng-11851	397	29	,	,	PUNCT
fumecheng-11851	397	30	20(6	20(6	NOUN
fumecheng-11851	397	31	)	)	PUNCT
fumecheng-11851	397	32	,	,	PUNCT
fumecheng-11851	397	33	pp	pp	ADP
fumecheng-11851	397	34	.	.	PUNCT
fumecheng-11851	398	1	729	729	NUM
fumecheng-11851	398	2	-	-	SYM
fumecheng-11851	398	3	737	737	NUM
fumecheng-11851	398	4	.	.	PUNCT
fumecheng-11851	399	1	12	12	NUM
fumecheng-11851	399	2	.	.	PUNCT
fumecheng-11851	400	1	kulikov	kulikov	PROPN
fumecheng-11851	400	2	,	,	PUNCT
fumecheng-11851	400	3	g.m	g.m	PROPN
fumecheng-11851	400	4	.	.	PROPN
fumecheng-11851	400	5	,	,	PUNCT
fumecheng-11851	400	6	plotnikova	plotnikova	PROPN
fumecheng-11851	400	7	,	,	PUNCT
fumecheng-11851	400	8	s.v	s.v	PROPN
fumecheng-11851	400	9	.	.	PROPN
fumecheng-11851	400	10	,	,	PUNCT
fumecheng-11851	400	11	carrera	carrera	PROPN
fumecheng-11851	400	12	,	,	PUNCT
fumecheng-11851	400	13	e.	e.	PROPN
fumecheng-11851	400	14	,	,	PUNCT
fumecheng-11851	400	15	2018	2018	NUM
fumecheng-11851	400	16	,	,	PUNCT
fumecheng-11851	400	17	hybrid	hybrid	NOUN
fumecheng-11851	400	18	-	-	PUNCT
fumecheng-11851	400	19	mixed	mix	VERB
fumecheng-11851	400	20	solid	solid	ADJ
fumecheng-11851	400	21	-	-	PUNCT
fumecheng-11851	400	22	shell	shell	NOUN
fumecheng-11851	400	23	element	element	NOUN
fumecheng-11851	400	24	for	for	ADP
fumecheng-11851	400	25	stress	stress	NOUN
fumecheng-11851	400	26	analysis	analysis	NOUN
fumecheng-11851	400	27	of	of	ADP
fumecheng-11851	400	28	laminated	laminate	VERB
fumecheng-11851	400	29	piezoelectric	piezoelectric	NOUN
fumecheng-11851	400	30	shells	shell	NOUN
fumecheng-11851	400	31	through	through	ADP
fumecheng-11851	400	32	higher	high	ADJ
fumecheng-11851	400	33	-	-	PUNCT
fumecheng-11851	400	34	order	order	NOUN
fumecheng-11851	400	35	theories	theory	NOUN
fumecheng-11851	400	36	,	,	PUNCT
fumecheng-11851	400	37	in	in	ADP
fumecheng-11851	400	38	:	:	PUNCT
fumecheng-11851	400	39	altenbach	altenbach	PROPN
fumecheng-11851	400	40	,	,	PUNCT
fumecheng-11851	400	41	h.	h.	PROPN
fumecheng-11851	400	42	,	,	PUNCT
fumecheng-11851	400	43	carrera	carrera	PROPN
fumecheng-11851	400	44	,	,	PUNCT
fumecheng-11851	400	45	e.	e.	PROPN
fumecheng-11851	400	46	,	,	PUNCT
fumecheng-11851	400	47	kulikov	kulikov	PROPN
fumecheng-11851	400	48	,	,	PUNCT
fumecheng-11851	400	49	g.	g.	PROPN
fumecheng-11851	400	50	(	(	PUNCT
fumecheng-11851	400	51	eds	eds	PROPN
fumecheng-11851	400	52	)	)	PUNCT
fumecheng-11851	400	53	,	,	PUNCT
fumecheng-11851	400	54	analysis	analysis	NOUN
fumecheng-11851	400	55	and	and	CCONJ
fumecheng-11851	400	56	modelling	modelling	NOUN
fumecheng-11851	400	57	of	of	ADP
fumecheng-11851	400	58	advanced	advanced	ADJ
fumecheng-11851	400	59	structures	structure	NOUN
fumecheng-11851	400	60	and	and	CCONJ
fumecheng-11851	400	61	smart	smart	ADJ
fumecheng-11851	400	62	systems	system	NOUN
fumecheng-11851	400	63	,	,	PUNCT
fumecheng-11851	400	64	advanced	advance	VERB
fumecheng-11851	400	65	structured	structure	VERB
fumecheng-11851	400	66	materials	material	NOUN
fumecheng-11851	400	67	,	,	PUNCT
fumecheng-11851	400	68	vol	vol	NOUN
fumecheng-11851	400	69	81	81	NUM
fumecheng-11851	400	70	.	.	PUNCT
fumecheng-11851	400	71	springer	springer	PROPN
fumecheng-11851	400	72	,	,	PUNCT
fumecheng-11851	400	73	singapore	singapore	PROPN
fumecheng-11851	400	74	.	.	PUNCT
fumecheng-11851	401	1	13	13	NUM
fumecheng-11851	401	2	.	.	X
fumecheng-11851	402	1	reddy	reddy	PROPN
fumecheng-11851	402	2	,	,	PUNCT
fumecheng-11851	402	3	j.n	j.n	PROPN
fumecheng-11851	402	4	.	.	PROPN
fumecheng-11851	402	5	,	,	PUNCT
fumecheng-11851	402	6	2003	2003	NUM
fumecheng-11851	402	7	,	,	PUNCT
fumecheng-11851	402	8	mechanics	mechanic	NOUN
fumecheng-11851	402	9	of	of	ADP
fumecheng-11851	402	10	laminated	laminate	VERB
fumecheng-11851	402	11	composite	composite	ADJ
fumecheng-11851	402	12	plates	plate	NOUN
fumecheng-11851	402	13	and	and	CCONJ
fumecheng-11851	402	14	shells	shell	NOUN
fumecheng-11851	402	15	:	:	PUNCT
fumecheng-11851	402	16	theory	theory	NOUN
fumecheng-11851	402	17	and	and	CCONJ
fumecheng-11851	402	18	analysis	analysis	NOUN
fumecheng-11851	402	19	,	,	PUNCT
fumecheng-11851	402	20	second	second	ADJ
fumecheng-11851	402	21	edition	edition	NOUN
fumecheng-11851	402	22	.	.	PUNCT
fumecheng-11851	403	1	crc	crc	PROPN
fumecheng-11851	403	2	press	press	PROPN
fumecheng-11851	403	3	,	,	PUNCT
fumecheng-11851	403	4	858	858	NUM
fumecheng-11851	403	5	p.	p.	NOUN
fumecheng-11851	403	6	14	14	NUM
fumecheng-11851	403	7	.	.	PUNCT
fumecheng-11851	404	1	gabbert	gabbert	PROPN
fumecheng-11851	404	2	,	,	PUNCT
fumecheng-11851	404	3	u.	u.	PROPN
fumecheng-11851	404	4	,	,	PUNCT
fumecheng-11851	404	5	koppe	koppe	PROPN
fumecheng-11851	404	6	,	,	PUNCT
fumecheng-11851	404	7	h.	h.	PROPN
fumecheng-11851	404	8	,	,	PUNCT
fumecheng-11851	404	9	seeger	seeger	PROPN
fumecheng-11851	404	10	,	,	PUNCT
fumecheng-11851	404	11	f.	f.	PROPN
fumecheng-11851	404	12	,	,	PUNCT
fumecheng-11851	404	13	berger	berger	PROPN
fumecheng-11851	404	14	,	,	PUNCT
fumecheng-11851	404	15	h.	h.	PROPN
fumecheng-11851	404	16	,	,	PUNCT
fumecheng-11851	404	17	2002	2002	NUM
fumecheng-11851	404	18	,	,	PUNCT
fumecheng-11851	404	19	modelling	modelling	NOUN
fumecheng-11851	404	20	of	of	ADP
fumecheng-11851	404	21	smart	smart	ADJ
fumecheng-11851	404	22	composite	composite	ADJ
fumecheng-11851	404	23	shell	shell	NOUN
fumecheng-11851	404	24	structures	structure	NOUN
fumecheng-11851	404	25	,	,	PUNCT
fumecheng-11851	404	26	journal	journal	NOUN
fumecheng-11851	404	27	of	of	ADP
fumecheng-11851	404	28	theoretical	theoretical	ADJ
fumecheng-11851	404	29	and	and	CCONJ
fumecheng-11851	404	30	applied	applied	ADJ
fumecheng-11851	404	31	mechanics	mechanic	NOUN
fumecheng-11851	404	32	,	,	PUNCT
fumecheng-11851	404	33	3(40	3(40	NUM
fumecheng-11851	404	34	)	)	PUNCT
fumecheng-11851	404	35	,	,	PUNCT
fumecheng-11851	404	36	pp	pp	ADJ
fumecheng-11851	404	37	.	.	PUNCT
fumecheng-11851	405	1	575	575	NUM
fumecheng-11851	405	2	-	-	SYM
fumecheng-11851	405	3	593	593	NUM
fumecheng-11851	405	4	.	.	NOUN
fumecheng-11851	405	5	15	15	NUM
fumecheng-11851	405	6	.	.	PUNCT
fumecheng-11851	405	7	rama	rama	PROPN
fumecheng-11851	405	8	,	,	PUNCT
fumecheng-11851	405	9	g.	g.	PROPN
fumecheng-11851	405	10	,	,	PUNCT
fumecheng-11851	405	11	marinkovic	marinkovic	PROPN
fumecheng-11851	405	12	,	,	PUNCT
fumecheng-11851	405	13	d.	d.	PROPN
fumecheng-11851	405	14	,	,	PUNCT
fumecheng-11851	405	15	zehn	zehn	PROPN
fumecheng-11851	405	16	,	,	PUNCT
fumecheng-11851	405	17	m.	m.	NOUN
fumecheng-11851	405	18	,	,	PUNCT
fumecheng-11851	405	19	2018	2018	NUM
fumecheng-11851	405	20	,	,	PUNCT
fumecheng-11851	405	21	a	a	DET
fumecheng-11851	405	22	three	three	NUM
fumecheng-11851	405	23	-	-	PUNCT
fumecheng-11851	405	24	node	node	ADJ
fumecheng-11851	405	25	shell	shell	NOUN
fumecheng-11851	405	26	element	element	NOUN
fumecheng-11851	405	27	based	base	VERB
fumecheng-11851	405	28	on	on	ADP
fumecheng-11851	405	29	the	the	DET
fumecheng-11851	405	30	discrete	discrete	ADJ
fumecheng-11851	405	31	shear	shear	NOUN
fumecheng-11851	405	32	gap	gap	NOUN
fumecheng-11851	405	33	and	and	CCONJ
fumecheng-11851	405	34	assumed	assume	VERB
fumecheng-11851	405	35	natural	natural	ADJ
fumecheng-11851	405	36	deviatoric	deviatoric	ADJ
fumecheng-11851	405	37	strain	strain	NOUN
fumecheng-11851	405	38	approaches	approach	NOUN
fumecheng-11851	405	39	,	,	PUNCT
fumecheng-11851	405	40	journal	journal	NOUN
fumecheng-11851	405	41	of	of	ADP
fumecheng-11851	405	42	the	the	DET
fumecheng-11851	405	43	brazilian	brazilian	ADJ
fumecheng-11851	405	44	society	society	NOUN
fumecheng-11851	405	45	of	of	ADP
fumecheng-11851	405	46	mechanical	mechanical	ADJ
fumecheng-11851	405	47	sciences	science	NOUN
fumecheng-11851	405	48	and	and	CCONJ
fumecheng-11851	405	49	engineering	engineering	NOUN
fumecheng-11851	405	50	,	,	PUNCT
fumecheng-11851	405	51	40(7	40(7	NOUN
fumecheng-11851	405	52	)	)	PUNCT
fumecheng-11851	405	53	,	,	PUNCT
fumecheng-11851	405	54	356	356	NUM
fumecheng-11851	405	55	.	.	PUNCT
fumecheng-11851	406	1	16	16	NUM
fumecheng-11851	406	2	.	.	PUNCT
fumecheng-11851	407	1	petrolo	petrolo	PROPN
fumecheng-11851	407	2	,	,	PUNCT
fumecheng-11851	407	3	m.	m.	NOUN
fumecheng-11851	407	4	,	,	PUNCT
fumecheng-11851	407	5	carrera	carrera	PROPN
fumecheng-11851	407	6	,	,	PUNCT
fumecheng-11851	407	7	e.	e.	PROPN
fumecheng-11851	407	8	,	,	PUNCT
fumecheng-11851	407	9	2021	2021	NUM
fumecheng-11851	407	10	,	,	PUNCT
fumecheng-11851	407	11	selection	selection	NOUN
fumecheng-11851	407	12	of	of	ADP
fumecheng-11851	407	13	element	element	ADJ
fumecheng-11851	407	14	-	-	ADJ
fumecheng-11851	407	15	wise	wise	ADJ
fumecheng-11851	407	16	shell	shell	NOUN
fumecheng-11851	407	17	kinematics	kinematic	NOUN
fumecheng-11851	407	18	using	use	VERB
fumecheng-11851	407	19	neural	neural	ADJ
fumecheng-11851	407	20	networks	network	NOUN
fumecheng-11851	407	21	,	,	PUNCT
fumecheng-11851	407	22	computers	computer	NOUN
fumecheng-11851	407	23	&	&	CCONJ
fumecheng-11851	407	24	structures	structure	NOUN
fumecheng-11851	407	25	,	,	PUNCT
fumecheng-11851	407	26	244	244	NUM
fumecheng-11851	407	27	,	,	PUNCT
fumecheng-11851	407	28	106425	106425	NUM
fumecheng-11851	407	29	.	.	PUNCT
fumecheng-11851	408	1	17	17	NUM
fumecheng-11851	408	2	.	.	PUNCT
fumecheng-11851	409	1	carrera	carrera	PROPN
fumecheng-11851	409	2	,	,	PUNCT
fumecheng-11851	409	3	e.	e.	PROPN
fumecheng-11851	409	4	,	,	PUNCT
fumecheng-11851	409	5	zozulya	zozulya	PROPN
fumecheng-11851	409	6	,	,	PUNCT
fumecheng-11851	409	7	v.v	v.v	PROPN
fumecheng-11851	409	8	.	.	PROPN
fumecheng-11851	409	9	,	,	PUNCT
fumecheng-11851	409	10	2022	2022	NUM
fumecheng-11851	409	11	,	,	PUNCT
fumecheng-11851	409	12	carrera	carrera	PROPN
fumecheng-11851	409	13	unified	unified	ADJ
fumecheng-11851	409	14	formulation	formulation	NOUN
fumecheng-11851	409	15	(	(	PUNCT
fumecheng-11851	409	16	cuf	cuf	PROPN
fumecheng-11851	409	17	)	)	PUNCT
fumecheng-11851	409	18	for	for	ADP
fumecheng-11851	409	19	the	the	DET
fumecheng-11851	409	20	micropolar	micropolar	ADJ
fumecheng-11851	409	21	plates	plate	NOUN
fumecheng-11851	409	22	and	and	CCONJ
fumecheng-11851	409	23	shells	shell	NOUN
fumecheng-11851	409	24	.	.	PUNCT
fumecheng-11851	410	1	i.	i.	PROPN
fumecheng-11851	410	2	higher	high	ADJ
fumecheng-11851	410	3	order	order	NOUN
fumecheng-11851	410	4	theory	theory	NOUN
fumecheng-11851	410	5	,	,	PUNCT
fumecheng-11851	410	6	mechanics	mechanic	NOUN
fumecheng-11851	410	7	of	of	ADP
fumecheng-11851	410	8	advanced	advanced	ADJ
fumecheng-11851	410	9	materials	material	NOUN
fumecheng-11851	410	10	and	and	CCONJ
fumecheng-11851	410	11	structures	structure	NOUN
fumecheng-11851	410	12	,	,	PUNCT
fumecheng-11851	410	13	29(6	29(6	NUM
fumecheng-11851	410	14	)	)	PUNCT
fumecheng-11851	410	15	,	,	PUNCT
fumecheng-11851	410	16	pp	pp	ADP
fumecheng-11851	410	17	.	.	PUNCT
fumecheng-11851	411	1	773	773	NUM
fumecheng-11851	411	2	-	-	SYM
fumecheng-11851	411	3	795	795	NUM
fumecheng-11851	411	4	.	.	PUNCT
fumecheng-11851	412	1	18	18	NUM
fumecheng-11851	412	2	.	.	PUNCT
fumecheng-11851	413	1	li	li	PROPN
fumecheng-11851	413	2	,	,	PUNCT
fumecheng-11851	413	3	g.	g.	PROPN
fumecheng-11851	413	4	,	,	PUNCT
fumecheng-11851	413	5	carrera	carrera	PROPN
fumecheng-11851	413	6	,	,	PUNCT
fumecheng-11851	413	7	e.	e.	PROPN
fumecheng-11851	413	8	,	,	PUNCT
fumecheng-11851	413	9	hou	hou	PROPN
fumecheng-11851	413	10	,	,	PUNCT
fumecheng-11851	413	11	y.	y.	PROPN
fumecheng-11851	413	12	,	,	PUNCT
fumecheng-11851	413	13	kulikov	kulikov	PROPN
fumecheng-11851	413	14	,	,	PUNCT
fumecheng-11851	413	15	g.m	g.m	PROPN
fumecheng-11851	413	16	.	.	PROPN
fumecheng-11851	413	17	,	,	PUNCT
fumecheng-11851	413	18	2021	2021	NUM
fumecheng-11851	413	19	,	,	PUNCT
fumecheng-11851	413	20	multi	multi	ADJ
fumecheng-11851	413	21	-	-	ADJ
fumecheng-11851	413	22	layered	layered	ADJ
fumecheng-11851	413	23	plate	plate	NOUN
fumecheng-11851	413	24	finite	finite	NOUN
fumecheng-11851	413	25	element	element	NOUN
fumecheng-11851	413	26	models	model	NOUN
fumecheng-11851	413	27	with	with	ADP
fumecheng-11851	413	28	nodedependent	nodedependent	ADJ
fumecheng-11851	413	29	kinematics	kinematic	NOUN
fumecheng-11851	413	30	for	for	ADP
fumecheng-11851	413	31	smart	smart	ADJ
fumecheng-11851	413	32	structures	structure	NOUN
fumecheng-11851	413	33	with	with	ADP
fumecheng-11851	413	34	piezoelectric	piezoelectric	ADJ
fumecheng-11851	413	35	components	component	NOUN
fumecheng-11851	413	36	,	,	PUNCT
fumecheng-11851	413	37	chinese	chinese	ADJ
fumecheng-11851	413	38	journal	journal	PROPN
fumecheng-11851	413	39	of	of	ADP
fumecheng-11851	413	40	aeronautics	aeronautic	NOUN
fumecheng-11851	413	41	,	,	PUNCT
fumecheng-11851	413	42	34(8	34(8	NUM
fumecheng-11851	413	43	)	)	PUNCT
fumecheng-11851	413	44	,	,	PUNCT
fumecheng-11851	413	45	pp	pp	ADP
fumecheng-11851	413	46	.	.	PUNCT
fumecheng-11851	414	1	164	164	NUM
fumecheng-11851	414	2	-	-	SYM
fumecheng-11851	414	3	175	175	NUM
fumecheng-11851	414	4	.	.	PUNCT
fumecheng-11851	415	1	19	19	NUM
fumecheng-11851	415	2	.	.	PUNCT
fumecheng-11851	415	3	rama	rama	PROPN
fumecheng-11851	415	4	,	,	PUNCT
fumecheng-11851	415	5	g.	g.	PROPN
fumecheng-11851	415	6	,	,	PUNCT
fumecheng-11851	415	7	marinkovic	marinkovic	PROPN
fumecheng-11851	415	8	,	,	PUNCT
fumecheng-11851	415	9	d.	d.	PROPN
fumecheng-11851	415	10	,	,	PUNCT
fumecheng-11851	415	11	2018	2018	NUM
fumecheng-11851	415	12	,	,	PUNCT
fumecheng-11851	415	13	high	high	ADJ
fumecheng-11851	415	14	performance	performance	NOUN
fumecheng-11851	415	15	3	3	NUM
fumecheng-11851	415	16	-	-	PUNCT
fumecheng-11851	415	17	node	node	ADJ
fumecheng-11851	415	18	shell	shell	NOUN
fumecheng-11851	415	19	element	element	NOUN
fumecheng-11851	415	20	for	for	ADP
fumecheng-11851	415	21	linear	linear	PROPN
fumecheng-11851	415	22	and	and	CCONJ
fumecheng-11851	415	23	geometrically	geometrically	ADV
fumecheng-11851	415	24	nonlinear	nonlinear	VERB
fumecheng-11851	415	25	analysis	analysis	NOUN
fumecheng-11851	415	26	of	of	ADP
fumecheng-11851	415	27	composite	composite	ADJ
fumecheng-11851	415	28	laminates	laminate	NOUN
fumecheng-11851	415	29	,	,	PUNCT
fumecheng-11851	415	30	composites	composite	VERB
fumecheng-11851	415	31	part	part	NOUN
fumecheng-11851	415	32	b	b	NOUN
fumecheng-11851	415	33	:	:	PUNCT
fumecheng-11851	415	34	engineering	engineering	NOUN
fumecheng-11851	415	35	,	,	PUNCT
fumecheng-11851	415	36	151	151	NUM
fumecheng-11851	415	37	,	,	PUNCT
fumecheng-11851	415	38	pp	pp	ADJ
fumecheng-11851	415	39	.	.	PUNCT
fumecheng-11851	416	1	118	118	NUM
fumecheng-11851	416	2	-	-	SYM
fumecheng-11851	416	3	126	126	NUM
fumecheng-11851	416	4	.	.	PUNCT
fumecheng-11851	417	1	20	20	NUM
fumecheng-11851	417	2	.	.	PUNCT
fumecheng-11851	418	1	katariya	katariya	PROPN
fumecheng-11851	418	2	,	,	PUNCT
fumecheng-11851	418	3	p.v	p.v	PROPN
fumecheng-11851	418	4	.	.	PROPN
fumecheng-11851	418	5	,	,	PUNCT
fumecheng-11851	418	6	hirwani	hirwani	PROPN
fumecheng-11851	418	7	,	,	PUNCT
fumecheng-11851	418	8	c.k	c.k	PROPN
fumecheng-11851	418	9	.	.	PROPN
fumecheng-11851	418	10	,	,	PUNCT
fumecheng-11851	418	11	panda	panda	NOUN
fumecheng-11851	418	12	,	,	PUNCT
fumecheng-11851	418	13	s.k	s.k	PROPN
fumecheng-11851	418	14	.	.	PROPN
fumecheng-11851	418	15	,	,	PUNCT
fumecheng-11851	418	16	2019	2019	NUM
fumecheng-11851	418	17	,	,	PUNCT
fumecheng-11851	418	18	geometrically	geometrically	ADV
fumecheng-11851	418	19	nonlinear	nonlinear	ADJ
fumecheng-11851	418	20	deflection	deflection	NOUN
fumecheng-11851	418	21	and	and	CCONJ
fumecheng-11851	418	22	stress	stress	NOUN
fumecheng-11851	418	23	analysis	analysis	NOUN
fumecheng-11851	418	24	of	of	ADP
fumecheng-11851	418	25	skew	skew	ADJ
fumecheng-11851	418	26	sandwich	sandwich	NOUN
fumecheng-11851	418	27	shell	shell	NOUN
fumecheng-11851	418	28	panel	panel	NOUN
fumecheng-11851	418	29	using	use	VERB
fumecheng-11851	418	30	higher	high	ADJ
fumecheng-11851	418	31	-	-	PUNCT
fumecheng-11851	418	32	order	order	NOUN
fumecheng-11851	418	33	theory	theory	NOUN
fumecheng-11851	418	34	,	,	PUNCT
fumecheng-11851	418	35	engineering	engineering	NOUN
fumecheng-11851	418	36	with	with	ADP
fumecheng-11851	418	37	computers	computer	NOUN
fumecheng-11851	418	38	,	,	PUNCT
fumecheng-11851	418	39	35	35	NUM
fumecheng-11851	418	40	,	,	PUNCT
fumecheng-11851	418	41	pp	pp	ADJ
fumecheng-11851	418	42	.	.	PUNCT
fumecheng-11851	419	1	467–485	467–485	NUM
fumecheng-11851	419	2	.	.	NOUN
fumecheng-11851	420	1	21	21	NUM
fumecheng-11851	420	2	.	.	PUNCT
fumecheng-11851	421	1	liguori	liguori	PROPN
fumecheng-11851	421	2	,	,	PUNCT
fumecheng-11851	421	3	f.s	f.s	PROPN
fumecheng-11851	421	4	.	.	PROPN
fumecheng-11851	421	5	,	,	PUNCT
fumecheng-11851	421	6	madeo	madeo	PROPN
fumecheng-11851	421	7	,	,	PUNCT
fumecheng-11851	421	8	a.	a.	NOUN
fumecheng-11851	421	9	,	,	PUNCT
fumecheng-11851	421	10	2021	2021	NUM
fumecheng-11851	421	11	,	,	PUNCT
fumecheng-11851	421	12	a	a	DET
fumecheng-11851	421	13	corotational	corotational	ADJ
fumecheng-11851	421	14	mixed	mixed	ADJ
fumecheng-11851	421	15	flat	flat	ADJ
fumecheng-11851	421	16	shell	shell	NOUN
fumecheng-11851	421	17	finite	finite	NOUN
fumecheng-11851	421	18	element	element	NOUN
fumecheng-11851	421	19	for	for	ADP
fumecheng-11851	421	20	the	the	DET
fumecheng-11851	421	21	efficient	efficient	ADJ
fumecheng-11851	421	22	geometrically	geometrically	ADV
fumecheng-11851	421	23	nonlinear	nonlinear	ADJ
fumecheng-11851	421	24	analysis	analysis	NOUN
fumecheng-11851	421	25	of	of	ADP
fumecheng-11851	421	26	laminated	laminated	ADJ
fumecheng-11851	421	27	composite	composite	ADJ
fumecheng-11851	421	28	structures	structure	NOUN
fumecheng-11851	421	29	,	,	PUNCT
fumecheng-11851	421	30	international	international	ADJ
fumecheng-11851	421	31	journal	journal	NOUN
fumecheng-11851	421	32	for	for	ADP
fumecheng-11851	421	33	numerical	numerical	ADJ
fumecheng-11851	421	34	methods	method	NOUN
fumecheng-11851	421	35	in	in	ADP
fumecheng-11851	421	36	engineering	engineering	NOUN
fumecheng-11851	421	37	,	,	PUNCT
fumecheng-11851	421	38	122(17	122(17	NUM
fumecheng-11851	421	39	)	)	PUNCT
fumecheng-11851	421	40	,	,	PUNCT
fumecheng-11851	422	1	pp	pp	ADP
fumecheng-11851	422	2	.	.	PUNCT
fumecheng-11851	423	1	4575	4575	NUM
fumecheng-11851	423	2	-	-	SYM
fumecheng-11851	423	3	4608	4608	NUM
fumecheng-11851	423	4	.	.	PUNCT
fumecheng-11851	424	1	22	22	NUM
fumecheng-11851	424	2	.	.	PUNCT
fumecheng-11851	425	1	marinković	marinković	PROPN
fumecheng-11851	425	2	,	,	PUNCT
fumecheng-11851	425	3	d.	d.	PROPN
fumecheng-11851	425	4	,	,	PUNCT
fumecheng-11851	425	5	rama	rama	PROPN
fumecheng-11851	425	6	,	,	PUNCT
fumecheng-11851	425	7	g.	g.	PROPN
fumecheng-11851	425	8	,	,	PUNCT
fumecheng-11851	425	9	zehn	zehn	PROPN
fumecheng-11851	425	10	,	,	PUNCT
fumecheng-11851	425	11	m.	m.	NOUN
fumecheng-11851	425	12	,	,	PUNCT
fumecheng-11851	425	13	2019	2019	NUM
fumecheng-11851	425	14	,	,	PUNCT
fumecheng-11851	425	15	abaqus	abaqus	NOUN
fumecheng-11851	425	16	implementation	implementation	NOUN
fumecheng-11851	425	17	of	of	ADP
fumecheng-11851	425	18	a	a	DET
fumecheng-11851	425	19	corotational	corotational	ADJ
fumecheng-11851	425	20	piezoelectric	piezoelectric	NOUN
fumecheng-11851	425	21	3	3	NUM
fumecheng-11851	425	22	-	-	PUNCT
fumecheng-11851	425	23	node	node	ADJ
fumecheng-11851	425	24	shell	shell	NOUN
fumecheng-11851	425	25	element	element	NOUN
fumecheng-11851	425	26	with	with	ADP
fumecheng-11851	425	27	drilling	drilling	NOUN
fumecheng-11851	425	28	degree	degree	NOUN
fumecheng-11851	425	29	of	of	ADP
fumecheng-11851	425	30	freedom	freedom	NOUN
fumecheng-11851	425	31	,	,	PUNCT
fumecheng-11851	425	32	facta	facta	PROPN
fumecheng-11851	425	33	universitatis	universitatis	PROPN
fumecheng-11851	425	34	-	-	PUNCT
fumecheng-11851	425	35	series	series	NOUN
fumecheng-11851	425	36	mechanical	mechanical	ADJ
fumecheng-11851	425	37	engineering	engineering	NOUN
fumecheng-11851	425	38	,	,	PUNCT
fumecheng-11851	425	39	17(2	17(2	NUM
fumecheng-11851	425	40	)	)	PUNCT
fumecheng-11851	425	41	,	,	PUNCT
fumecheng-11851	425	42	pp	pp	ADP
fumecheng-11851	425	43	.	.	PUNCT
fumecheng-11851	425	44	269283	269283	NUM
fumecheng-11851	425	45	.	.	PUNCT
fumecheng-11851	426	1	23	23	NUM
fumecheng-11851	426	2	.	.	PUNCT
fumecheng-11851	427	1	hughes	hughe	NOUN
fumecheng-11851	427	2	,	,	PUNCT
fumecheng-11851	427	3	t.j.r	t.j.r	PROPN
fumecheng-11851	427	4	.	.	PROPN
fumecheng-11851	427	5	,	,	PUNCT
fumecheng-11851	427	6	cottrell	cottrell	PROPN
fumecheng-11851	427	7	,	,	PUNCT
fumecheng-11851	427	8	j.a	j.a	PROPN
fumecheng-11851	427	9	.	.	PROPN
fumecheng-11851	427	10	,	,	PUNCT
fumecheng-11851	427	11	bazilevs	bazilevs	NOUN
fumecheng-11851	427	12	,	,	PUNCT
fumecheng-11851	427	13	y.	y.	PROPN
fumecheng-11851	427	14	,	,	PUNCT
fumecheng-11851	427	15	2005	2005	NUM
fumecheng-11851	427	16	,	,	PUNCT
fumecheng-11851	427	17	isogeometric	isogeometric	ADJ
fumecheng-11851	427	18	analysis	analysis	NOUN
fumecheng-11851	427	19	:	:	PUNCT
fumecheng-11851	427	20	cad	cad	NOUN
fumecheng-11851	427	21	,	,	PUNCT
fumecheng-11851	427	22	finite	finite	ADJ
fumecheng-11851	427	23	elements	element	NOUN
fumecheng-11851	427	24	,	,	PUNCT
fumecheng-11851	427	25	nurbs	nurb	NOUN
fumecheng-11851	427	26	,	,	PUNCT
fumecheng-11851	427	27	exact	exact	ADJ
fumecheng-11851	427	28	geometry	geometry	NOUN
fumecheng-11851	427	29	and	and	CCONJ
fumecheng-11851	427	30	mesh	mesh	NOUN
fumecheng-11851	427	31	refinement	refinement	NOUN
fumecheng-11851	427	32	,	,	PUNCT
fumecheng-11851	427	33	computer	computer	NOUN
fumecheng-11851	427	34	methods	method	NOUN
fumecheng-11851	427	35	in	in	ADP
fumecheng-11851	427	36	applied	applied	ADJ
fumecheng-11851	427	37	mechanics	mechanic	NOUN
fumecheng-11851	427	38	and	and	CCONJ
fumecheng-11851	427	39	engineering	engineering	NOUN
fumecheng-11851	427	40	,	,	PUNCT
fumecheng-11851	427	41	194(39	194(39	NUM
fumecheng-11851	427	42	-	-	SYM
fumecheng-11851	427	43	41	41	NUM
fumecheng-11851	427	44	)	)	PUNCT
fumecheng-11851	427	45	,	,	PUNCT
fumecheng-11851	427	46	pp	pp	ADP
fumecheng-11851	427	47	.	.	PUNCT
fumecheng-11851	427	48	41354195	41354195	NUM
fumecheng-11851	427	49	.	.	PUNCT
fumecheng-11851	428	1	https://www.tandfonline.com/journals/umcm20	https://www.tandfonline.com/journals/umcm20	NOUN
fumecheng-11851	428	2	https://www.sciencedirect.com/journal/chinese-journal-of-aeronautics	https://www.sciencedirect.com/journal/chinese-journal-of-aeronautic	NOUN
fumecheng-11851	428	3	https://www.sciencedirect.com/journal/composites-part-b-engineering	https://www.sciencedirect.com/journal/composites-part-b-engineering	NOUN
fumecheng-11851	428	4	https://link.springer.com/journal/366	https://link.springer.com/journal/366	VERB
fumecheng-11851	428	5	geometrically	geometrically	ADV
fumecheng-11851	428	6	nonlinear	nonlinear	ADJ
fumecheng-11851	428	7	analysis	analysis	NOUN
fumecheng-11851	428	8	of	of	ADP
fumecheng-11851	428	9	piezoelectric	piezoelectric	ADJ
fumecheng-11851	428	10	active	active	ADJ
fumecheng-11851	428	11	laminated	laminate	VERB
fumecheng-11851	428	12	shells	shell	NOUN
fumecheng-11851	428	13	by	by	ADP
fumecheng-11851	428	14	means	mean	NOUN
fumecheng-11851	428	15	of	of	ADP
fumecheng-11851	428	16	isogeometric	isogeometric	ADJ
fumecheng-11851	428	17	...	...	PUNCT
fumecheng-11851	428	18	405	405	NUM
fumecheng-11851	428	19	24	24	NUM
fumecheng-11851	428	20	.	.	PUNCT
fumecheng-11851	429	1	nguyen	nguyen	NOUN
fumecheng-11851	429	2	-	-	PUNCT
fumecheng-11851	429	3	thanha	thanha	NOUN
fumecheng-11851	429	4	,	,	PUNCT
fumecheng-11851	429	5	n.	n.	NOUN
fumecheng-11851	429	6	,	,	PUNCT
fumecheng-11851	429	7	valizadehb	valizadehb	PROPN
fumecheng-11851	429	8	,	,	PUNCT
fumecheng-11851	429	9	n.	n.	NOUN
fumecheng-11851	429	10	,	,	PUNCT
fumecheng-11851	429	11	nguyenc	nguyenc	PROPN
fumecheng-11851	429	12	,	,	PUNCT
fumecheng-11851	429	13	m.n	m.n	PROPN
fumecheng-11851	429	14	.	.	PROPN
fumecheng-11851	429	15	,	,	PUNCT
fumecheng-11851	429	16	nguyen	nguyen	PROPN
fumecheng-11851	429	17	-	-	PUNCT
fumecheng-11851	429	18	xuand	xuand	PROPN
fumecheng-11851	429	19	,	,	PUNCT
fumecheng-11851	429	20	h.	h.	PROPN
fumecheng-11851	429	21	,	,	PUNCT
fumecheng-11851	429	22	zhuange	zhuange	VERB
fumecheng-11851	429	23	,	,	PUNCT
fumecheng-11851	429	24	x.	x.	PROPN
fumecheng-11851	429	25	,	,	PUNCT
fumecheng-11851	429	26	areiasf	areiasf	PROPN
fumecheng-11851	429	27	,	,	PUNCT
fumecheng-11851	429	28	p.	p.	PROPN
fumecheng-11851	429	29	,	,	PUNCT
fumecheng-11851	429	30	zih	zih	PROPN
fumecheng-11851	429	31	,	,	PUNCT
fumecheng-11851	429	32	g.	g.	PROPN
fumecheng-11851	429	33	,	,	PUNCT
fumecheng-11851	429	34	bazilevsg	bazilevsg	NOUN
fumecheng-11851	429	35	,	,	PUNCT
fumecheng-11851	429	36	y.	y.	NOUN
fumecheng-11851	429	37	,	,	PUNCT
fumecheng-11851	429	38	de	de	X
fumecheng-11851	429	39	lorenzisa	lorenzisa	PROPN
fumecheng-11851	429	40	,	,	PUNCT
fumecheng-11851	429	41	l.	l.	PROPN
fumecheng-11851	429	42	,	,	PUNCT
fumecheng-11851	429	43	rabczukb	rabczukb	PROPN
fumecheng-11851	429	44	,	,	PUNCT
fumecheng-11851	429	45	t.	t.	PROPN
fumecheng-11851	429	46	,	,	PUNCT
fumecheng-11851	429	47	2015	2015	NUM
fumecheng-11851	429	48	,	,	PUNCT
fumecheng-11851	429	49	an	an	DET
fumecheng-11851	429	50	extended	extended	ADJ
fumecheng-11851	429	51	isogeometric	isogeometric	ADJ
fumecheng-11851	429	52	thin	thin	ADJ
fumecheng-11851	429	53	shell	shell	NOUN
fumecheng-11851	429	54	analysis	analysis	NOUN
fumecheng-11851	429	55	based	base	VERB
fumecheng-11851	429	56	on	on	ADP
fumecheng-11851	429	57	kirchhoff	kirchhoff	NOUN
fumecheng-11851	429	58	-	-	PUNCT
fumecheng-11851	429	59	love	love	NOUN
fumecheng-11851	429	60	theory	theory	NOUN
fumecheng-11851	429	61	,	,	PUNCT
fumecheng-11851	429	62	computer	computer	NOUN
fumecheng-11851	429	63	methods	method	NOUN
fumecheng-11851	429	64	in	in	ADP
fumecheng-11851	429	65	applied	applied	ADJ
fumecheng-11851	429	66	mechanics	mechanic	NOUN
fumecheng-11851	429	67	and	and	CCONJ
fumecheng-11851	429	68	engineering	engineering	NOUN
fumecheng-11851	429	69	,	,	PUNCT
fumecheng-11851	429	70	284	284	NUM
fumecheng-11851	429	71	,	,	PUNCT
fumecheng-11851	429	72	pp	pp	ADJ
fumecheng-11851	429	73	.	.	PUNCT
fumecheng-11851	430	1	265	265	NUM
fumecheng-11851	430	2	-	-	SYM
fumecheng-11851	430	3	291	291	NUM
fumecheng-11851	430	4	.	.	PUNCT
fumecheng-11851	431	1	25	25	NUM
fumecheng-11851	431	2	.	.	PUNCT
fumecheng-11851	431	3	milić	milić	PROPN
fumecheng-11851	431	4	,	,	PUNCT
fumecheng-11851	431	5	p.	p.	NOUN
fumecheng-11851	431	6	,	,	PUNCT
fumecheng-11851	431	7	marinković	marinković	PROPN
fumecheng-11851	431	8	,	,	PUNCT
fumecheng-11851	431	9	d.	d.	PROPN
fumecheng-11851	431	10	,	,	PUNCT
fumecheng-11851	431	11	2015	2015	NUM
fumecheng-11851	431	12	,	,	PUNCT
fumecheng-11851	431	13	isogeometric	isogeometric	ADJ
fumecheng-11851	431	14	fe	fe	NOUN
fumecheng-11851	431	15	analysis	analysis	NOUN
fumecheng-11851	431	16	of	of	ADP
fumecheng-11851	431	17	complex	complex	ADJ
fumecheng-11851	431	18	thin	thin	ADJ
fumecheng-11851	431	19	-	-	PUNCT
fumecheng-11851	431	20	walled	walled	ADJ
fumecheng-11851	431	21	structures	structure	NOUN
fumecheng-11851	431	22	,	,	PUNCT
fumecheng-11851	431	23	transactions	transaction	NOUN
fumecheng-11851	431	24	of	of	ADP
fumecheng-11851	431	25	famena	famena	NOUN
fumecheng-11851	431	26	,	,	PUNCT
fumecheng-11851	431	27	39(1	39(1	NUM
fumecheng-11851	431	28	)	)	PUNCT
fumecheng-11851	431	29	,	,	PUNCT
fumecheng-11851	432	1	pp	pp	PROPN
fumecheng-11851	432	2	.	.	PUNCT
fumecheng-11851	433	1	15	15	NUM
fumecheng-11851	433	2	-	-	SYM
fumecheng-11851	433	3	26	26	NUM
fumecheng-11851	433	4	.	.	PUNCT
fumecheng-11851	434	1	26	26	NUM
fumecheng-11851	434	2	.	.	PUNCT
fumecheng-11851	435	1	benson	benson	PROPN
fumecheng-11851	435	2	,	,	PUNCT
fumecheng-11851	435	3	d.j	d.j	PROPN
fumecheng-11851	435	4	.	.	PROPN
fumecheng-11851	435	5	,	,	PUNCT
fumecheng-11851	435	6	bazilevs	bazilevs	NOUN
fumecheng-11851	435	7	,	,	PUNCT
fumecheng-11851	435	8	y.	y.	PROPN
fumecheng-11851	435	9	,	,	PUNCT
fumecheng-11851	435	10	hsu	hsu	PROPN
fumecheng-11851	435	11	,	,	PUNCT
fumecheng-11851	435	12	m.c	m.c	PROPN
fumecheng-11851	435	13	.	.	PROPN
fumecheng-11851	435	14	,	,	PUNCT
fumecheng-11851	435	15	hughes	hughes	PROPN
fumecheng-11851	435	16	,	,	PUNCT
fumecheng-11851	435	17	t.j.r	t.j.r	PROPN
fumecheng-11851	435	18	.	.	PROPN
fumecheng-11851	435	19	,	,	PUNCT
fumecheng-11851	435	20	2010	2010	NUM
fumecheng-11851	435	21	,	,	PUNCT
fumecheng-11851	435	22	isogeometric	isogeometric	ADJ
fumecheng-11851	435	23	shell	shell	NOUN
fumecheng-11851	435	24	analysis	analysis	NOUN
fumecheng-11851	435	25	:	:	PUNCT
fumecheng-11851	435	26	the	the	DET
fumecheng-11851	435	27	reissner	reissner	NOUN
fumecheng-11851	435	28	-	-	PUNCT
fumecheng-11851	435	29	mindlin	mindlin	NOUN
fumecheng-11851	435	30	shell	shell	NOUN
fumecheng-11851	435	31	,	,	PUNCT
fumecheng-11851	435	32	computer	computer	NOUN
fumecheng-11851	435	33	methods	method	NOUN
fumecheng-11851	435	34	in	in	ADP
fumecheng-11851	435	35	applied	applied	ADJ
fumecheng-11851	435	36	mechanics	mechanic	NOUN
fumecheng-11851	435	37	and	and	CCONJ
fumecheng-11851	435	38	engineering	engineering	NOUN
fumecheng-11851	435	39	,	,	PUNCT
fumecheng-11851	435	40	199(5	199(5	NUM
fumecheng-11851	435	41	-	-	SYM
fumecheng-11851	435	42	8)	8)	NUM
fumecheng-11851	435	43	,	,	PUNCT
fumecheng-11851	435	44	pp	pp	ADJ
fumecheng-11851	435	45	.	.	PUNCT
fumecheng-11851	436	1	276	276	NUM
fumecheng-11851	436	2	-	-	SYM
fumecheng-11851	436	3	289	289	NUM
fumecheng-11851	436	4	.	.	PUNCT
fumecheng-11851	437	1	27	27	NUM
fumecheng-11851	437	2	.	.	PUNCT
fumecheng-11851	438	1	echter	echter	PROPN
fumecheng-11851	438	2	,	,	PUNCT
fumecheng-11851	438	3	r.	r.	PROPN
fumecheng-11851	438	4	,	,	PUNCT
fumecheng-11851	438	5	oesterle	oesterle	PROPN
fumecheng-11851	438	6	,	,	PUNCT
fumecheng-11851	438	7	b.	b.	PROPN
fumecheng-11851	438	8	,	,	PUNCT
fumecheng-11851	438	9	bischoff	bischoff	PROPN
fumecheng-11851	438	10	,	,	PUNCT
fumecheng-11851	438	11	m.	m.	NOUN
fumecheng-11851	438	12	,	,	PUNCT
fumecheng-11851	438	13	2013	2013	NUM
fumecheng-11851	438	14	,	,	PUNCT
fumecheng-11851	438	15	a	a	DET
fumecheng-11851	438	16	hierarchic	hierarchic	ADJ
fumecheng-11851	438	17	family	family	NOUN
fumecheng-11851	438	18	of	of	ADP
fumecheng-11851	438	19	isogeometric	isogeometric	ADJ
fumecheng-11851	438	20	shell	shell	NOUN
fumecheng-11851	438	21	finite	finite	ADJ
fumecheng-11851	438	22	elements	element	NOUN
fumecheng-11851	438	23	,	,	PUNCT
fumecheng-11851	438	24	computer	computer	NOUN
fumecheng-11851	438	25	methods	method	NOUN
fumecheng-11851	438	26	in	in	ADP
fumecheng-11851	438	27	applied	applied	ADJ
fumecheng-11851	438	28	mechanics	mechanic	NOUN
fumecheng-11851	438	29	and	and	CCONJ
fumecheng-11851	438	30	engineering	engineering	NOUN
fumecheng-11851	438	31	,	,	PUNCT
fumecheng-11851	438	32	254	254	NUM
fumecheng-11851	438	33	,	,	PUNCT
fumecheng-11851	438	34	pp	pp	ADJ
fumecheng-11851	438	35	.	.	PUNCT
fumecheng-11851	439	1	170	170	NUM
fumecheng-11851	439	2	-	-	SYM
fumecheng-11851	439	3	180	180	NUM
fumecheng-11851	439	4	.	.	PUNCT
fumecheng-11851	440	1	28	28	NUM
fumecheng-11851	440	2	.	.	PUNCT
fumecheng-11851	440	3	yujie	yujie	PROPN
fumecheng-11851	440	4	,	,	PUNCT
fumecheng-11851	440	5	g.	g.	PROPN
fumecheng-11851	440	6	,	,	PUNCT
fumecheng-11851	440	7	martin	martin	PROPN
fumecheng-11851	440	8	,	,	PUNCT
fumecheng-11851	440	9	r.	r.	PROPN
fumecheng-11851	440	10	,	,	PUNCT
fumecheng-11851	440	11	2015	2015	NUM
fumecheng-11851	440	12	,	,	PUNCT
fumecheng-11851	440	13	a	a	DET
fumecheng-11851	440	14	layerwise	layerwise	NOUN
fumecheng-11851	440	15	isogeometric	isogeometric	ADJ
fumecheng-11851	440	16	approach	approach	NOUN
fumecheng-11851	440	17	for	for	ADP
fumecheng-11851	440	18	nurbs	nurb	NOUN
fumecheng-11851	440	19	-	-	PUNCT
fumecheng-11851	440	20	derived	derive	VERB
fumecheng-11851	440	21	laminate	laminate	NOUN
fumecheng-11851	440	22	composite	composite	ADJ
fumecheng-11851	440	23	shells	shell	NOUN
fumecheng-11851	440	24	,	,	PUNCT
fumecheng-11851	440	25	composite	composite	ADJ
fumecheng-11851	440	26	structures	structure	NOUN
fumecheng-11851	440	27	,	,	PUNCT
fumecheng-11851	440	28	124	124	NUM
fumecheng-11851	440	29	,	,	PUNCT
fumecheng-11851	440	30	pp	pp	ADJ
fumecheng-11851	440	31	.	.	PUNCT
fumecheng-11851	441	1	300	300	NUM
fumecheng-11851	441	2	-	-	NUM
fumecheng-11851	441	3	309	309	NUM
fumecheng-11851	441	4	.	.	PUNCT
fumecheng-11851	442	1	29	29	NUM
fumecheng-11851	442	2	.	.	PUNCT
fumecheng-11851	443	1	hosseini	hosseini	PROPN
fumecheng-11851	443	2	,	,	PUNCT
fumecheng-11851	443	3	s.	s.	PROPN
fumecheng-11851	443	4	,	,	PUNCT
fumecheng-11851	443	5	remmers	remmer	NOUN
fumecheng-11851	443	6	,	,	PUNCT
fumecheng-11851	443	7	j.j	j.j	PROPN
fumecheng-11851	443	8	.	.	PROPN
fumecheng-11851	443	9	,	,	PUNCT
fumecheng-11851	443	10	verhoosel	verhoosel	PROPN
fumecheng-11851	443	11	,	,	PUNCT
fumecheng-11851	443	12	c.v	c.v	PROPN
fumecheng-11851	443	13	.	.	PROPN
fumecheng-11851	443	14	,	,	PUNCT
fumecheng-11851	443	15	de	de	X
fumecheng-11851	443	16	borst	borst	PROPN
fumecheng-11851	443	17	,	,	PUNCT
fumecheng-11851	443	18	r.	r.	PROPN
fumecheng-11851	443	19	,	,	PUNCT
fumecheng-11851	443	20	2015	2015	NUM
fumecheng-11851	443	21	,	,	PUNCT
fumecheng-11851	443	22	propagation	propagation	NOUN
fumecheng-11851	443	23	of	of	ADP
fumecheng-11851	443	24	delamination	delamination	NOUN
fumecheng-11851	443	25	in	in	ADP
fumecheng-11851	443	26	composite	composite	ADJ
fumecheng-11851	443	27	materials	material	NOUN
fumecheng-11851	443	28	with	with	ADP
fumecheng-11851	443	29	isogeometric	isogeometric	ADJ
fumecheng-11851	443	30	continuum	continuum	ADJ
fumecheng-11851	443	31	shell	shell	NOUN
fumecheng-11851	443	32	elements	element	NOUN
fumecheng-11851	443	33	,	,	PUNCT
fumecheng-11851	443	34	int	int	NOUN
fumecheng-11851	443	35	.	.	PUNCT
fumecheng-11851	444	1	j.	j.	PROPN
fumecheng-11851	444	2	numer	numer	PROPN
fumecheng-11851	444	3	.	.	PUNCT
fumecheng-11851	445	1	methods	methods	PROPN
fumecheng-11851	445	2	eng	eng	PROPN
fumecheng-11851	445	3	.	.	PROPN
fumecheng-11851	445	4	,	,	PUNCT
fumecheng-11851	445	5	102(3	102(3	NUM
fumecheng-11851	445	6	)	)	PUNCT
fumecheng-11851	445	7	,	,	PUNCT
fumecheng-11851	445	8	pp	pp	ADP
fumecheng-11851	445	9	.	.	PUNCT
fumecheng-11851	446	1	159	159	NUM
fumecheng-11851	446	2	-	-	SYM
fumecheng-11851	446	3	179	179	NUM
fumecheng-11851	446	4	.	.	PUNCT
fumecheng-11851	447	1	30	30	NUM
fumecheng-11851	447	2	.	.	PUNCT
fumecheng-11851	448	1	milić	milić	PROPN
fumecheng-11851	448	2	,	,	PUNCT
fumecheng-11851	448	3	p.	p.	NOUN
fumecheng-11851	448	4	,	,	PUNCT
fumecheng-11851	448	5	marinković	marinković	PROPN
fumecheng-11851	448	6	,	,	PUNCT
fumecheng-11851	448	7	d.	d.	PROPN
fumecheng-11851	448	8	,	,	PUNCT
fumecheng-11851	448	9	klinge	klinge	PROPN
fumecheng-11851	448	10	,	,	PUNCT
fumecheng-11851	448	11	s.	s.	PROPN
fumecheng-11851	448	12	,	,	PUNCT
fumecheng-11851	448	13	ćojbašić	ćojbašić	PROPN
fumecheng-11851	448	14	,	,	PUNCT
fumecheng-11851	448	15	ž	ž	PROPN
fumecheng-11851	448	16	.	.	PROPN
fumecheng-11851	448	17	,	,	PUNCT
fumecheng-11851	448	18	2023	2023	NUM
fumecheng-11851	448	19	,	,	PUNCT
fumecheng-11851	448	20	reissner	reissner	NOUN
fumecheng-11851	448	21	-	-	PUNCT
fumecheng-11851	448	22	mindlin	mindlin	NOUN
fumecheng-11851	448	23	based	base	VERB
fumecheng-11851	448	24	isogeometric	isogeometric	ADJ
fumecheng-11851	448	25	finite	finite	PROPN
fumecheng-11851	448	26	element	element	NOUN
fumecheng-11851	448	27	formulation	formulation	NOUN
fumecheng-11851	448	28	for	for	ADP
fumecheng-11851	448	29	piezoelectric	piezoelectric	ADJ
fumecheng-11851	448	30	active	active	ADJ
fumecheng-11851	448	31	laminated	laminated	ADJ
fumecheng-11851	448	32	shells	shell	NOUN
fumecheng-11851	448	33	,	,	PUNCT
fumecheng-11851	448	34	tehnički	tehnički	PROPN
fumecheng-11851	448	35	vjesnik	vjesnik	PROPN
fumecheng-11851	448	36	,	,	PUNCT
fumecheng-11851	448	37	30(2	30(2	NUM
fumecheng-11851	448	38	)	)	PUNCT
fumecheng-11851	448	39	,	,	PUNCT
fumecheng-11851	448	40	pp	pp	PROPN
fumecheng-11851	448	41	.	.	PUNCT
fumecheng-11851	449	1	416	416	NUM
fumecheng-11851	449	2	-	-	SYM
fumecheng-11851	449	3	425	425	NUM
fumecheng-11851	449	4	.	.	PUNCT
fumecheng-11851	450	1	31	31	NUM
fumecheng-11851	450	2	.	.	PUNCT
fumecheng-11851	451	1	adam	adam	PROPN
fumecheng-11851	451	2	,	,	PUNCT
fumecheng-11851	451	3	c.	c.	PROPN
fumecheng-11851	451	4	,	,	PUNCT
fumecheng-11851	451	5	bouabdallah	bouabdallah	PROPN
fumecheng-11851	451	6	,	,	PUNCT
fumecheng-11851	451	7	s.	s.	PROPN
fumecheng-11851	451	8	,	,	PUNCT
fumecheng-11851	451	9	zarroug	zarroug	NOUN
fumecheng-11851	451	10	,	,	PUNCT
fumecheng-11851	451	11	m.	m.	NOUN
fumecheng-11851	451	12	,	,	PUNCT
fumecheng-11851	451	13	maitournam	maitournam	PROPN
fumecheng-11851	451	14	,	,	PUNCT
fumecheng-11851	451	15	h.	h.	PROPN
fumecheng-11851	451	16	,	,	PUNCT
fumecheng-11851	451	17	2015	2015	NUM
fumecheng-11851	451	18	,	,	PUNCT
fumecheng-11851	451	19	improved	improve	VERB
fumecheng-11851	451	20	numerical	numerical	ADJ
fumecheng-11851	451	21	integration	integration	NOUN
fumecheng-11851	451	22	for	for	ADP
fumecheng-11851	451	23	locking	lock	VERB
fumecheng-11851	451	24	treatment	treatment	NOUN
fumecheng-11851	451	25	in	in	ADP
fumecheng-11851	451	26	isogeometric	isogeometric	ADJ
fumecheng-11851	451	27	structural	structural	ADJ
fumecheng-11851	451	28	elements	element	NOUN
fumecheng-11851	451	29	,	,	PUNCT
fumecheng-11851	451	30	part	part	PROPN
fumecheng-11851	451	31	ii	ii	PROPN
fumecheng-11851	451	32	:	:	PUNCT
fumecheng-11851	451	33	plates	plate	NOUN
fumecheng-11851	451	34	and	and	CCONJ
fumecheng-11851	451	35	shells	shell	NOUN
fumecheng-11851	451	36	,	,	PUNCT
fumecheng-11851	451	37	computer	computer	NOUN
fumecheng-11851	451	38	methods	method	NOUN
fumecheng-11851	451	39	in	in	ADP
fumecheng-11851	451	40	applied	applied	ADJ
fumecheng-11851	451	41	mechanics	mechanic	NOUN
fumecheng-11851	451	42	and	and	CCONJ
fumecheng-11851	451	43	engineering	engineering	NOUN
fumecheng-11851	451	44	,	,	PUNCT
fumecheng-11851	451	45	284	284	NUM
fumecheng-11851	451	46	,	,	PUNCT
fumecheng-11851	451	47	pp	pp	ADJ
fumecheng-11851	451	48	.	.	PUNCT
fumecheng-11851	452	1	106	106	NUM
fumecheng-11851	452	2	-	-	SYM
fumecheng-11851	452	3	137	137	NUM
fumecheng-11851	452	4	.	.	PUNCT
fumecheng-11851	453	1	32	32	NUM
fumecheng-11851	453	2	.	.	PUNCT
fumecheng-11851	454	1	marinković	marinković	ADJ
fumecheng-11851	454	2	,	,	PUNCT
fumecheng-11851	454	3	d.	d.	PROPN
fumecheng-11851	454	4	,	,	PUNCT
fumecheng-11851	454	5	köppe	köppe	PROPN
fumecheng-11851	454	6	,	,	PUNCT
fumecheng-11851	454	7	h.	h.	PROPN
fumecheng-11851	454	8	,	,	PUNCT
fumecheng-11851	454	9	gabbert	gabbert	PROPN
fumecheng-11851	454	10	,	,	PUNCT
fumecheng-11851	454	11	u.	u.	PROPN
fumecheng-11851	454	12	,	,	PUNCT
fumecheng-11851	454	13	2007	2007	NUM
fumecheng-11851	454	14	,	,	PUNCT
fumecheng-11851	454	15	accurate	accurate	ADJ
fumecheng-11851	454	16	modeling	modeling	NOUN
fumecheng-11851	454	17	of	of	ADP
fumecheng-11851	454	18	the	the	DET
fumecheng-11851	454	19	electric	electric	ADJ
fumecheng-11851	454	20	field	field	NOUN
fumecheng-11851	454	21	within	within	ADP
fumecheng-11851	454	22	piezoelectric	piezoelectric	ADJ
fumecheng-11851	454	23	layers	layer	NOUN
fumecheng-11851	454	24	for	for	ADP
fumecheng-11851	454	25	active	active	ADJ
fumecheng-11851	454	26	composite	composite	ADJ
fumecheng-11851	454	27	structures	structure	NOUN
fumecheng-11851	454	28	.	.	PUNCT
fumecheng-11851	455	1	journal	journal	NOUN
fumecheng-11851	455	2	of	of	ADP
fumecheng-11851	455	3	intelligent	intelligent	ADJ
fumecheng-11851	455	4	material	material	NOUN
fumecheng-11851	455	5	systems	system	NOUN
fumecheng-11851	455	6	and	and	CCONJ
fumecheng-11851	455	7	structures	structure	NOUN
fumecheng-11851	455	8	,	,	PUNCT
fumecheng-11851	455	9	18(5	18(5	NUM
fumecheng-11851	455	10	)	)	PUNCT
fumecheng-11851	455	11	,	,	PUNCT
fumecheng-11851	455	12	pp	pp	ADJ
fumecheng-11851	455	13	.	.	PUNCT
fumecheng-11851	456	1	503	503	NUM
fumecheng-11851	456	2	-	-	SYM
fumecheng-11851	456	3	513	513	NUM
fumecheng-11851	456	4	.	.	PUNCT
fumecheng-11851	457	1	33	33	NUM
fumecheng-11851	457	2	.	.	PUNCT
fumecheng-11851	458	1	bathe	bathe	VERB
fumecheng-11851	458	2	,	,	PUNCT
fumecheng-11851	458	3	k.j	k.j	PROPN
fumecheng-11851	458	4	.	.	PROPN
fumecheng-11851	458	5	,	,	PUNCT
fumecheng-11851	458	6	1996	1996	NUM
fumecheng-11851	458	7	,	,	PUNCT
fumecheng-11851	458	8	finite	finite	PROPN
fumecheng-11851	458	9	element	element	NOUN
fumecheng-11851	458	10	procedures	procedure	NOUN
fumecheng-11851	458	11	,	,	PUNCT
fumecheng-11851	458	12	prentice	prentice	NOUN
fumecheng-11851	458	13	hall	hall	PROPN
fumecheng-11851	458	14	,	,	PUNCT
fumecheng-11851	458	15	new	new	PROPN
fumecheng-11851	458	16	york	york	PROPN
fumecheng-11851	458	17	.	.	PUNCT
fumecheng-11851	459	1	34	34	NUM
fumecheng-11851	459	2	.	.	PUNCT
fumecheng-11851	459	3	marinković	marinković	PROPN
fumecheng-11851	459	4	,	,	PUNCT
fumecheng-11851	459	5	d.	d.	PROPN
fumecheng-11851	459	6	,	,	PUNCT
fumecheng-11851	459	7	koppe	koppe	PROPN
fumecheng-11851	459	8	,	,	PUNCT
fumecheng-11851	459	9	h.	h.	PROPN
fumecheng-11851	459	10	,	,	PUNCT
fumecheng-11851	459	11	gabbert	gabbert	PROPN
fumecheng-11851	459	12	,	,	PUNCT
fumecheng-11851	459	13	u.	u.	PROPN
fumecheng-11851	459	14	,	,	PUNCT
fumecheng-11851	459	15	2008	2008	NUM
fumecheng-11851	459	16	,	,	PUNCT
fumecheng-11851	459	17	degenerated	degenerate	VERB
fumecheng-11851	459	18	shell	shell	ADJ
fumecheng-11851	459	19	element	element	NOUN
fumecheng-11851	459	20	for	for	ADP
fumecheng-11851	459	21	geometrically	geometrically	ADV
fumecheng-11851	459	22	nonlinear	nonlinear	ADJ
fumecheng-11851	459	23	analysis	analysis	NOUN
fumecheng-11851	459	24	of	of	ADP
fumecheng-11851	459	25	thin	thin	ADJ
fumecheng-11851	459	26	-	-	PUNCT
fumecheng-11851	459	27	walled	walled	ADJ
fumecheng-11851	459	28	piezoelectric	piezoelectric	ADJ
fumecheng-11851	459	29	active	active	ADJ
fumecheng-11851	459	30	structures	structure	NOUN
fumecheng-11851	459	31	,	,	PUNCT
fumecheng-11851	459	32	smart	smart	ADJ
fumecheng-11851	459	33	materials	material	NOUN
fumecheng-11851	459	34	and	and	CCONJ
fumecheng-11851	459	35	structures	structure	NOUN
fumecheng-11851	459	36	,	,	PUNCT
fumecheng-11851	459	37	17(1	17(1	NUM
fumecheng-11851	459	38	)	)	PUNCT
fumecheng-11851	459	39	,	,	PUNCT
fumecheng-11851	459	40	015030	015030	NUM
fumecheng-11851	459	41	.	.	PUNCT
fumecheng-11851	460	1	35	35	NUM
fumecheng-11851	460	2	.	.	PUNCT
fumecheng-11851	460	3	tzou	tzou	PROPN
fumecheng-11851	460	4	,	,	PUNCT
fumecheng-11851	460	5	h.s	h.s	PROPN
fumecheng-11851	460	6	.	.	PROPN
fumecheng-11851	460	7	,	,	PUNCT
fumecheng-11851	460	8	ye	ye	PROPN
fumecheng-11851	460	9	,	,	PUNCT
fumecheng-11851	460	10	r.	r.	PROPN
fumecheng-11851	460	11	,	,	PUNCT
fumecheng-11851	460	12	1996	1996	NUM
fumecheng-11851	460	13	,	,	PUNCT
fumecheng-11851	460	14	analysis	analysis	NOUN
fumecheng-11851	460	15	of	of	ADP
fumecheng-11851	460	16	piezoelastic	piezoelastic	ADJ
fumecheng-11851	460	17	structures	structure	NOUN
fumecheng-11851	460	18	with	with	ADP
fumecheng-11851	460	19	laminated	laminate	VERB
fumecheng-11851	460	20	piezoelectric	piezoelectric	NOUN
fumecheng-11851	460	21	triangle	triangle	NOUN
fumecheng-11851	460	22	shell	shell	NOUN
fumecheng-11851	460	23	elements	element	NOUN
fumecheng-11851	460	24	,	,	PUNCT
fumecheng-11851	460	25	aiaa	aiaa	PROPN
fumecheng-11851	460	26	j	j	PROPN
fumecheng-11851	460	27	,	,	PUNCT
fumecheng-11851	460	28	34(1	34(1	NUM
fumecheng-11851	460	29	)	)	PUNCT
fumecheng-11851	460	30	,	,	PUNCT
fumecheng-11851	460	31	pp	pp	ADP
fumecheng-11851	460	32	.	.	PUNCT
fumecheng-11851	461	1	110–115	110–115	NUM
fumecheng-11851	461	2	.	.	PUNCT
fumecheng-11851	462	1	36	36	NUM
fumecheng-11851	462	2	.	.	X
fumecheng-11851	463	1	zhang	zhang	PROPN
fumecheng-11851	463	2	,	,	PUNCT
fumecheng-11851	463	3	s.	s.	PROPN
fumecheng-11851	463	4	,	,	PUNCT
fumecheng-11851	463	5	2014	2014	NUM
fumecheng-11851	463	6	,	,	PUNCT
fumecheng-11851	463	7	nonlinear	nonlinear	NOUN
fumecheng-11851	463	8	fe	fe	X
fumecheng-11851	463	9	simulation	simulation	NOUN
fumecheng-11851	463	10	and	and	CCONJ
fumecheng-11851	463	11	active	active	ADJ
fumecheng-11851	463	12	vibration	vibration	NOUN
fumecheng-11851	463	13	control	control	NOUN
fumecheng-11851	463	14	of	of	ADP
fumecheng-11851	463	15	piezoelectric	piezoelectric	NOUN
fumecheng-11851	463	16	laminated	laminate	VERB
fumecheng-11851	463	17	thinwalled	thinwalle	VERB
fumecheng-11851	463	18	smart	smart	ADJ
fumecheng-11851	463	19	structures	structure	NOUN
fumecheng-11851	463	20	,	,	PUNCT
fumecheng-11851	463	21	phd	phd	NOUN
fumecheng-11851	463	22	thesis	thesis	NOUN
fumecheng-11851	463	23	,	,	PUNCT
fumecheng-11851	463	24	fakultat	fakultat	ADJ
fumecheng-11851	463	25	fur	fur	NOUN
fumecheng-11851	463	26	maschinenwesen	maschinenwesen	NOUN
fumecheng-11851	463	27	der	der	NOUN
fumecheng-11851	463	28	rheinisch	rheinisch	PROPN
fumecheng-11851	463	29	-	-	PUNCT
fumecheng-11851	463	30	westfalischen	westfalischen	NOUN
fumecheng-11851	463	31	technischen	technischen	ADJ
fumecheng-11851	463	32	hochschule	hochschule	NOUN
fumecheng-11851	463	33	aachen	aachen	PROPN
fumecheng-11851	463	34	,	,	PUNCT
fumecheng-11851	463	35	germay	germay	PROPN
fumecheng-11851	463	36	,	,	PUNCT
fumecheng-11851	463	37	210	210	NUM
fumecheng-11851	463	38	p.	p.	NOUN