id	sid	tid	token	lemma	pos
fumecheng-2694	1	1	plane	plane	NOUN
fumecheng-2694	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-2694	1	3	waves	wave	NOUN
fumecheng-2694	1	4	in	in	ADP
fumecheng-2694	1	5	infinite	infinite	ADJ
fumecheng-2694	1	6	half	half	ADJ
fumecheng-2694	1	7	-	-	PUNCT
fumecheng-2694	1	8	space	space	NOUN
fumecheng-2694	1	9	caused	cause	VERB
fumecheng-2694	1	10	facta	facta	PROPN
fumecheng-2694	1	11	universitatis	universitatis	PROPN
fumecheng-2694	1	12	series	series	NOUN
fumecheng-2694	1	13	:	:	PUNCT
fumecheng-2694	1	14	mechanical	mechanical	ADJ
fumecheng-2694	1	15	engineering	engineering	NOUN
fumecheng-2694	1	16	vol	vol	NOUN
fumecheng-2694	1	17	.	.	PROPN
fumecheng-2694	2	1	15	15	NUM
fumecheng-2694	2	2	,	,	PUNCT
fumecheng-2694	2	3	no	no	DET
fumecheng-2694	2	4	1	1	NUM
fumecheng-2694	2	5	,	,	PUNCT
fumecheng-2694	2	6	2017	2017	NUM
fumecheng-2694	2	7	,	,	PUNCT
fumecheng-2694	2	8	pp	pp	ADJ
fumecheng-2694	2	9	.	.	PUNCT
fumecheng-2694	3	1	31	31	NUM
fumecheng-2694	3	2	44	44	NUM
fumecheng-2694	3	3	doi	doi	NOUN
fumecheng-2694	3	4	:	:	PUNCT
fumecheng-2694	3	5	10.22190	10.22190	NUM
fumecheng-2694	3	6	/	/	SYM
fumecheng-2694	3	7	fume170225002r	fume170225002r	PROPN
fumecheng-2694	3	8	©	©	PROPN
fumecheng-2694	3	9	2017	2017	NUM
fumecheng-2694	3	10	by	by	ADP
fumecheng-2694	3	11	university	university	PROPN
fumecheng-2694	3	12	of	of	ADP
fumecheng-2694	3	13	niš	niš	PROPN
fumecheng-2694	3	14	,	,	PUNCT
fumecheng-2694	3	15	serbia	serbia	PROPN
fumecheng-2694	3	16	|	|	ADV
fumecheng-2694	3	17	creative	creative	ADJ
fumecheng-2694	3	18	commons	common	NOUN
fumecheng-2694	3	19	licence	licence	NOUN
fumecheng-2694	3	20	:	:	PUNCT
fumecheng-2694	3	21	cc	cc	VERB
fumecheng-2694	3	22	by	by	ADP
fumecheng-2694	3	23	-	-	PUNCT
fumecheng-2694	3	24	nc	nc	VERB
fumecheng-2694	3	25	-	-	PUNCT
fumecheng-2694	3	26	nd	nd	ADV
fumecheng-2694	3	27	original	original	ADJ
fumecheng-2694	3	28	scientific	scientific	ADJ
fumecheng-2694	3	29	paper	paper	NOUN
fumecheng-2694	3	30	1a	1a	NOUN
fumecheng-2694	3	31	3	3	NUM
fumecheng-2694	3	32	-	-	PUNCT
fumecheng-2694	3	33	node	node	ADJ
fumecheng-2694	3	34	piezoelectric	piezoelectric	NOUN
fumecheng-2694	3	35	shell	shell	NOUN
fumecheng-2694	3	36	element	element	NOUN
fumecheng-2694	3	37	for	for	ADP
fumecheng-2694	3	38	linear	linear	PROPN
fumecheng-2694	3	39	and	and	CCONJ
fumecheng-2694	3	40	geometrically	geometrically	ADV
fumecheng-2694	3	41	nonlinear	nonlinear	ADJ
fumecheng-2694	3	42	dynamic	dynamic	ADJ
fumecheng-2694	3	43	analysis	analysis	NOUN
fumecheng-2694	3	44	of	of	ADP
fumecheng-2694	3	45	smart	smart	ADJ
fumecheng-2694	3	46	structures	structure	NOUN
fumecheng-2694	3	47	udc	udc	NOUN
fumecheng-2694	3	48	624.01	624.01	NUM
fumecheng-2694	3	49	+	+	PROPN
fumecheng-2694	3	50	531;519.6	531;519.6	PROPN
fumecheng-2694	3	51	gil	gil	PROPN
fumecheng-2694	3	52	rama	rama	PROPN
fumecheng-2694	3	53	berlin	berlin	PROPN
fumecheng-2694	3	54	institute	institute	PROPN
fumecheng-2694	3	55	of	of	ADP
fumecheng-2694	3	56	technology	technology	PROPN
fumecheng-2694	3	57	(	(	PUNCT
fumecheng-2694	3	58	tu	tu	PROPN
fumecheng-2694	3	59	berlin	berlin	PROPN
fumecheng-2694	3	60	)	)	PUNCT
fumecheng-2694	3	61	,	,	PUNCT
fumecheng-2694	3	62	department	department	NOUN
fumecheng-2694	3	63	of	of	ADP
fumecheng-2694	3	64	structural	structural	ADJ
fumecheng-2694	3	65	and	and	CCONJ
fumecheng-2694	3	66	computational	computational	ADJ
fumecheng-2694	3	67	mechanics	mechanic	NOUN
fumecheng-2694	3	68	,	,	PUNCT
fumecheng-2694	3	69	germany	germany	PROPN
fumecheng-2694	3	70	abstract	abstract	NOUN
fumecheng-2694	3	71	.	.	PUNCT
fumecheng-2694	4	1	composite	composite	ADJ
fumecheng-2694	4	2	laminates	laminate	NOUN
fumecheng-2694	4	3	consisting	consist	VERB
fumecheng-2694	4	4	of	of	ADP
fumecheng-2694	4	5	passive	passive	ADJ
fumecheng-2694	4	6	and	and	CCONJ
fumecheng-2694	4	7	multi	multi	ADJ
fumecheng-2694	4	8	-	-	ADJ
fumecheng-2694	4	9	functional	functional	ADJ
fumecheng-2694	4	10	materials	material	NOUN
fumecheng-2694	4	11	represent	represent	VERB
fumecheng-2694	4	12	a	a	DET
fumecheng-2694	4	13	powerful	powerful	ADJ
fumecheng-2694	4	14	material	material	NOUN
fumecheng-2694	4	15	system	system	NOUN
fumecheng-2694	4	16	.	.	PUNCT
fumecheng-2694	5	1	passive	passive	ADJ
fumecheng-2694	5	2	layers	layer	NOUN
fumecheng-2694	5	3	could	could	AUX
fumecheng-2694	5	4	be	be	AUX
fumecheng-2694	5	5	made	make	VERB
fumecheng-2694	5	6	of	of	ADP
fumecheng-2694	5	7	isotropic	isotropic	ADJ
fumecheng-2694	5	8	materials	material	NOUN
fumecheng-2694	5	9	or	or	CCONJ
fumecheng-2694	5	10	fiber	fiber	NOUN
fumecheng-2694	5	11	-	-	PUNCT
fumecheng-2694	5	12	reinforced	reinforce	VERB
fumecheng-2694	5	13	composites	composite	NOUN
fumecheng-2694	5	14	,	,	PUNCT
fumecheng-2694	5	15	while	while	SCONJ
fumecheng-2694	5	16	piezoelectric	piezoelectric	ADJ
fumecheng-2694	5	17	ceramics	ceramic	NOUN
fumecheng-2694	5	18	are	be	AUX
fumecheng-2694	5	19	considered	consider	VERB
fumecheng-2694	5	20	here	here	ADV
fumecheng-2694	5	21	as	as	ADP
fumecheng-2694	5	22	a	a	DET
fumecheng-2694	5	23	multifunctional	multifunctional	ADJ
fumecheng-2694	5	24	material	material	NOUN
fumecheng-2694	5	25	.	.	PUNCT
fumecheng-2694	6	1	the	the	DET
fumecheng-2694	6	2	paper	paper	NOUN
fumecheng-2694	6	3	is	be	AUX
fumecheng-2694	6	4	focused	focus	VERB
fumecheng-2694	6	5	on	on	ADP
fumecheng-2694	6	6	linear	linear	ADJ
fumecheng-2694	6	7	and	and	CCONJ
fumecheng-2694	6	8	geometrically	geometrically	ADV
fumecheng-2694	6	9	nonlinear	nonlinear	ADJ
fumecheng-2694	6	10	dynamic	dynamic	ADJ
fumecheng-2694	6	11	analysis	analysis	NOUN
fumecheng-2694	6	12	of	of	ADP
fumecheng-2694	6	13	smart	smart	ADJ
fumecheng-2694	6	14	structures	structure	NOUN
fumecheng-2694	6	15	made	make	VERB
fumecheng-2694	6	16	of	of	ADP
fumecheng-2694	6	17	such	such	DET
fumecheng-2694	6	18	a	a	DET
fumecheng-2694	6	19	material	material	NOUN
fumecheng-2694	6	20	system	system	NOUN
fumecheng-2694	6	21	.	.	PUNCT
fumecheng-2694	7	1	for	for	ADP
fumecheng-2694	7	2	this	this	DET
fumecheng-2694	7	3	purpose	purpose	NOUN
fumecheng-2694	7	4	,	,	PUNCT
fumecheng-2694	7	5	a	a	DET
fumecheng-2694	7	6	linear	linear	ADJ
fumecheng-2694	7	7	3node	3node	NUM
fumecheng-2694	7	8	shell	shell	NOUN
fumecheng-2694	7	9	element	element	NOUN
fumecheng-2694	7	10	is	be	AUX
fumecheng-2694	7	11	used	use	VERB
fumecheng-2694	7	12	.	.	PUNCT
fumecheng-2694	8	1	it	it	PRON
fumecheng-2694	8	2	employs	employ	VERB
fumecheng-2694	8	3	the	the	DET
fumecheng-2694	8	4	mindlin	mindlin	NOUN
fumecheng-2694	8	5	-	-	PUNCT
fumecheng-2694	8	6	reissner	reissner	NOUN
fumecheng-2694	8	7	kinematics	kinematic	NOUN
fumecheng-2694	8	8	and	and	CCONJ
fumecheng-2694	8	9	the	the	DET
fumecheng-2694	8	10	discrete	discrete	ADJ
fumecheng-2694	8	11	shear	shear	NOUN
fumecheng-2694	8	12	gap	gap	NOUN
fumecheng-2694	8	13	(	(	PUNCT
fumecheng-2694	8	14	dsg	dsg	NOUN
fumecheng-2694	8	15	)	)	PUNCT
fumecheng-2694	8	16	technique	technique	NOUN
fumecheng-2694	8	17	to	to	PART
fumecheng-2694	8	18	alleviate	alleviate	VERB
fumecheng-2694	8	19	the	the	DET
fumecheng-2694	8	20	transverse	transverse	ADJ
fumecheng-2694	8	21	shear	shear	NOUN
fumecheng-2694	8	22	locking	locking	NOUN
fumecheng-2694	8	23	effects	effect	NOUN
fumecheng-2694	8	24	.	.	PUNCT
fumecheng-2694	9	1	the	the	DET
fumecheng-2694	9	2	electric	electric	ADJ
fumecheng-2694	9	3	potential	potential	NOUN
fumecheng-2694	9	4	is	be	AUX
fumecheng-2694	9	5	assumed	assume	VERB
fumecheng-2694	9	6	to	to	PART
fumecheng-2694	9	7	vary	vary	VERB
fumecheng-2694	9	8	linearly	linearly	ADV
fumecheng-2694	9	9	through	through	ADP
fumecheng-2694	9	10	the	the	DET
fumecheng-2694	9	11	thickness	thickness	NOUN
fumecheng-2694	9	12	for	for	ADP
fumecheng-2694	9	13	each	each	DET
fumecheng-2694	9	14	piezoelectric	piezoelectric	ADJ
fumecheng-2694	9	15	layer	layer	NOUN
fumecheng-2694	9	16	.	.	PUNCT
fumecheng-2694	10	1	a	a	DET
fumecheng-2694	10	2	co	co	ADJ
fumecheng-2694	10	3	-	-	ADJ
fumecheng-2694	10	4	rotational	rotational	ADJ
fumecheng-2694	10	5	formulation	formulation	NOUN
fumecheng-2694	10	6	is	be	AUX
fumecheng-2694	10	7	used	use	VERB
fumecheng-2694	10	8	to	to	PART
fumecheng-2694	10	9	handle	handle	VERB
fumecheng-2694	10	10	the	the	DET
fumecheng-2694	10	11	geometrically	geometrically	ADV
fumecheng-2694	10	12	nonlinear	nonlinear	ADJ
fumecheng-2694	10	13	effects	effect	NOUN
fumecheng-2694	10	14	.	.	PUNCT
fumecheng-2694	11	1	a	a	DET
fumecheng-2694	11	2	number	number	NOUN
fumecheng-2694	11	3	of	of	ADP
fumecheng-2694	11	4	examples	example	NOUN
fumecheng-2694	11	5	involving	involve	VERB
fumecheng-2694	11	6	actuator	actuator	NOUN
fumecheng-2694	11	7	and	and	CCONJ
fumecheng-2694	11	8	sensor	sensor	NOUN
fumecheng-2694	11	9	application	application	NOUN
fumecheng-2694	11	10	of	of	ADP
fumecheng-2694	11	11	piezoelectric	piezoelectric	ADJ
fumecheng-2694	11	12	layers	layer	NOUN
fumecheng-2694	11	13	are	be	AUX
fumecheng-2694	11	14	considered	consider	VERB
fumecheng-2694	11	15	.	.	PUNCT
fumecheng-2694	12	1	for	for	ADP
fumecheng-2694	12	2	the	the	DET
fumecheng-2694	12	3	validation	validation	NOUN
fumecheng-2694	12	4	purposes	purpose	NOUN
fumecheng-2694	12	5	,	,	PUNCT
fumecheng-2694	12	6	the	the	DET
fumecheng-2694	12	7	results	result	NOUN
fumecheng-2694	12	8	available	available	ADJ
fumecheng-2694	12	9	in	in	ADP
fumecheng-2694	12	10	the	the	DET
fumecheng-2694	12	11	literature	literature	NOUN
fumecheng-2694	12	12	and	and	CCONJ
fumecheng-2694	12	13	those	those	PRON
fumecheng-2694	12	14	computed	compute	VERB
fumecheng-2694	12	15	in	in	ADP
fumecheng-2694	12	16	abaqus	abaqus	NOUN
fumecheng-2694	12	17	are	be	AUX
fumecheng-2694	12	18	used	use	VERB
fumecheng-2694	12	19	as	as	ADP
fumecheng-2694	12	20	a	a	DET
fumecheng-2694	12	21	reference	reference	NOUN
fumecheng-2694	12	22	.	.	PUNCT
fumecheng-2694	13	1	key	key	ADJ
fumecheng-2694	13	2	words	word	NOUN
fumecheng-2694	13	3	:	:	PUNCT
fumecheng-2694	13	4	shell	shell	NOUN
fumecheng-2694	13	5	element	element	NOUN
fumecheng-2694	13	6	,	,	PUNCT
fumecheng-2694	13	7	piezoelectricity	piezoelectricity	NOUN
fumecheng-2694	13	8	,	,	PUNCT
fumecheng-2694	13	9	active	active	ADJ
fumecheng-2694	13	10	laminates	laminate	NOUN
fumecheng-2694	13	11	,	,	PUNCT
fumecheng-2694	13	12	co	co	ADJ
fumecheng-2694	13	13	-	-	ADJ
fumecheng-2694	13	14	rotational	rotational	ADJ
fumecheng-2694	13	15	fem	fem	NOUN
fumecheng-2694	13	16	,	,	PUNCT
fumecheng-2694	13	17	actuator	actuator	NOUN
fumecheng-2694	13	18	,	,	PUNCT
fumecheng-2694	13	19	sensor	sensor	NOUN
fumecheng-2694	13	20	,	,	PUNCT
fumecheng-2694	13	21	geometrically	geometrically	ADV
fumecheng-2694	13	22	nonlinear	nonlinear	VERB
fumecheng-2694	13	23	dynamic	dynamic	ADJ
fumecheng-2694	13	24	1	1	NUM
fumecheng-2694	13	25	.	.	PUNCT
fumecheng-2694	14	1	introduction	introduction	NOUN
fumecheng-2694	14	2	laminated	laminate	VERB
fumecheng-2694	14	3	thin	thin	ADJ
fumecheng-2694	14	4	-	-	PUNCT
fumecheng-2694	14	5	walled	walled	ADJ
fumecheng-2694	14	6	structures	structure	NOUN
fumecheng-2694	14	7	made	make	VERB
fumecheng-2694	14	8	of	of	ADP
fumecheng-2694	14	9	isotropic	isotropic	ADJ
fumecheng-2694	14	10	or	or	CCONJ
fumecheng-2694	14	11	orthotropic	orthotropic	ADJ
fumecheng-2694	14	12	materials	material	NOUN
fumecheng-2694	14	13	are	be	AUX
fumecheng-2694	14	14	widely	widely	ADV
fumecheng-2694	14	15	used	use	VERB
fumecheng-2694	14	16	in	in	ADP
fumecheng-2694	14	17	engineering	engineering	NOUN
fumecheng-2694	14	18	practice	practice	NOUN
fumecheng-2694	14	19	.	.	PUNCT
fumecheng-2694	15	1	this	this	PRON
fumecheng-2694	15	2	is	be	AUX
fumecheng-2694	15	3	a	a	DET
fumecheng-2694	15	4	consequence	consequence	NOUN
fumecheng-2694	15	5	of	of	ADP
fumecheng-2694	15	6	the	the	DET
fumecheng-2694	15	7	optimization	optimization	NOUN
fumecheng-2694	15	8	strategy	strategy	NOUN
fumecheng-2694	15	9	to	to	PART
fumecheng-2694	15	10	reduce	reduce	VERB
fumecheng-2694	15	11	the	the	DET
fumecheng-2694	15	12	structural	structural	ADJ
fumecheng-2694	15	13	dead	dead	ADJ
fumecheng-2694	15	14	-	-	PUNCT
fumecheng-2694	15	15	load	load	NOUN
fumecheng-2694	15	16	whereby	whereby	SCONJ
fumecheng-2694	15	17	the	the	DET
fumecheng-2694	15	18	structural	structural	ADJ
fumecheng-2694	15	19	carrying	carrying	NOUN
fumecheng-2694	15	20	capacity	capacity	NOUN
fumecheng-2694	15	21	is	be	AUX
fumecheng-2694	15	22	kept	keep	VERB
fumecheng-2694	15	23	at	at	ADP
fumecheng-2694	15	24	a	a	DET
fumecheng-2694	15	25	very	very	ADV
fumecheng-2694	15	26	high	high	ADJ
fumecheng-2694	15	27	level	level	NOUN
fumecheng-2694	15	28	.	.	PUNCT
fumecheng-2694	16	1	besides	besides	SCONJ
fumecheng-2694	16	2	numerous	numerous	ADJ
fumecheng-2694	16	3	advantages	advantage	NOUN
fumecheng-2694	16	4	offered	offer	VERB
fumecheng-2694	16	5	by	by	ADP
fumecheng-2694	16	6	thin	thin	ADJ
fumecheng-2694	16	7	-	-	PUNCT
fumecheng-2694	16	8	walled	walled	ADJ
fumecheng-2694	16	9	structures	structure	NOUN
fumecheng-2694	16	10	,	,	PUNCT
fumecheng-2694	16	11	they	they	PRON
fumecheng-2694	16	12	also	also	ADV
fumecheng-2694	16	13	tend	tend	VERB
fumecheng-2694	16	14	to	to	PART
fumecheng-2694	16	15	suffer	suffer	VERB
fumecheng-2694	16	16	from	from	ADP
fumecheng-2694	16	17	structural	structural	ADJ
fumecheng-2694	16	18	stability	stability	NOUN
fumecheng-2694	16	19	issues	issue	NOUN
fumecheng-2694	16	20	and	and	CCONJ
fumecheng-2694	16	21	are	be	AUX
fumecheng-2694	16	22	rather	rather	ADV
fumecheng-2694	16	23	sensitive	sensitive	ADJ
fumecheng-2694	16	24	to	to	ADP
fumecheng-2694	16	25	vibrations	vibration	NOUN
fumecheng-2694	16	26	.	.	PUNCT
fumecheng-2694	17	1	the	the	DET
fumecheng-2694	17	2	use	use	NOUN
fumecheng-2694	17	3	of	of	ADP
fumecheng-2694	17	4	multi	multi	ADJ
fumecheng-2694	17	5	-	-	ADJ
fumecheng-2694	17	6	functional	functional	ADJ
fumecheng-2694	17	7	materials	material	NOUN
fumecheng-2694	17	8	offers	offer	VERB
fumecheng-2694	17	9	a	a	DET
fumecheng-2694	17	10	great	great	ADJ
fumecheng-2694	17	11	potential	potential	NOUN
fumecheng-2694	17	12	to	to	PART
fumecheng-2694	17	13	cope	cope	VERB
fumecheng-2694	17	14	up	up	ADP
fumecheng-2694	17	15	with	with	ADP
fumecheng-2694	17	16	those	those	DET
fumecheng-2694	17	17	challenges	challenge	NOUN
fumecheng-2694	17	18	.	.	PUNCT
fumecheng-2694	18	1	received	receive	VERB
fumecheng-2694	18	2	:	:	PUNCT
fumecheng-2694	18	3	february	february	PROPN
fumecheng-2694	18	4	25	25	NUM
fumecheng-2694	18	5	,	,	PUNCT
fumecheng-2694	18	6	2017	2017	NUM
fumecheng-2694	18	7	/	/	SYM
fumecheng-2694	18	8	accepted	accept	VERB
fumecheng-2694	18	9	march	march	PROPN
fumecheng-2694	18	10	21	21	NUM
fumecheng-2694	18	11	,	,	PUNCT
fumecheng-2694	18	12	2017	2017	NUM
fumecheng-2694	18	13	corresponding	correspond	VERB
fumecheng-2694	18	14	author	author	NOUN
fumecheng-2694	18	15	:	:	PUNCT
fumecheng-2694	18	16	gil	gil	PROPN
fumecheng-2694	18	17	rama	rama	PROPN
fumecheng-2694	18	18	tu	tu	PROPN
fumecheng-2694	18	19	berlin	berlin	PROPN
fumecheng-2694	18	20	,	,	PUNCT
fumecheng-2694	18	21	fachgebiet	fachgebiet	PROPN
fumecheng-2694	18	22	für	für	PROPN
fumecheng-2694	18	23	strukturmechanik	strukturmechanik	PROPN
fumecheng-2694	18	24	und	und	PROPN
fumecheng-2694	18	25	–	–	PUNCT
fumecheng-2694	18	26	berechnung	berechnung	ADJ
fumecheng-2694	18	27	,	,	PUNCT
fumecheng-2694	18	28	str	str	NOUN
fumecheng-2694	18	29	.	.	PUNCT
fumecheng-2694	19	1	des	des	PROPN
fumecheng-2694	19	2	17	17	NUM
fumecheng-2694	19	3	.	.	PUNCT
fumecheng-2694	20	1	juni	juni	PROPN
fumecheng-2694	20	2	135	135	NUM
fumecheng-2694	20	3	,	,	PUNCT
fumecheng-2694	20	4	10623	10623	NUM
fumecheng-2694	20	5	berlin	berlin	PROPN
fumecheng-2694	20	6	,	,	PUNCT
fumecheng-2694	20	7	germany	germany	PROPN
fumecheng-2694	20	8	e	e	PROPN
fumecheng-2694	20	9	-	-	NOUN
fumecheng-2694	20	10	mail	mail	NOUN
fumecheng-2694	20	11	:	:	PUNCT
fumecheng-2694	20	12	gil.rama@tu-berlin.de	gil.rama@tu-berlin.de	PROPN
fumecheng-2694	20	13	32	32	NUM
fumecheng-2694	20	14	g.	g.	PROPN
fumecheng-2694	20	15	rama	rama	PROPN
fumecheng-2694	20	16	piezoelectric	piezoelectric	NOUN
fumecheng-2694	20	17	materials	material	NOUN
fumecheng-2694	20	18	are	be	AUX
fumecheng-2694	20	19	characterized	characterize	VERB
fumecheng-2694	20	20	by	by	ADP
fumecheng-2694	20	21	a	a	DET
fumecheng-2694	20	22	sufficiently	sufficiently	ADV
fumecheng-2694	20	23	strong	strong	ADJ
fumecheng-2694	20	24	coupling	coupling	NOUN
fumecheng-2694	20	25	between	between	ADP
fumecheng-2694	20	26	the	the	DET
fumecheng-2694	20	27	mechanical	mechanical	ADJ
fumecheng-2694	20	28	and	and	CCONJ
fumecheng-2694	20	29	the	the	DET
fumecheng-2694	20	30	electric	electric	ADJ
fumecheng-2694	20	31	fields	field	NOUN
fumecheng-2694	20	32	,	,	PUNCT
fumecheng-2694	20	33	so	so	SCONJ
fumecheng-2694	20	34	that	that	SCONJ
fumecheng-2694	20	35	they	they	PRON
fumecheng-2694	20	36	can	can	AUX
fumecheng-2694	20	37	be	be	AUX
fumecheng-2694	20	38	employed	employ	VERB
fumecheng-2694	20	39	for	for	ADP
fumecheng-2694	20	40	an	an	DET
fumecheng-2694	20	41	adequately	adequately	ADV
fumecheng-2694	20	42	designed	design	VERB
fumecheng-2694	20	43	actuator	actuator	NOUN
fumecheng-2694	20	44	as	as	ADV
fumecheng-2694	20	45	well	well	ADV
fumecheng-2694	20	46	as	as	ADP
fumecheng-2694	20	47	sensor	sensor	NOUN
fumecheng-2694	20	48	devices	device	NOUN
fumecheng-2694	20	49	.	.	PUNCT
fumecheng-2694	21	1	in	in	ADP
fumecheng-2694	21	2	the	the	DET
fumecheng-2694	21	3	actuator	actuator	NOUN
fumecheng-2694	21	4	case	case	NOUN
fumecheng-2694	21	5	,	,	PUNCT
fumecheng-2694	21	6	the	the	DET
fumecheng-2694	21	7	inverse	inverse	NOUN
fumecheng-2694	21	8	piezoelectric	piezoelectric	NOUN
fumecheng-2694	21	9	effect	effect	NOUN
fumecheng-2694	21	10	is	be	AUX
fumecheng-2694	21	11	used	use	VERB
fumecheng-2694	21	12	to	to	PART
fumecheng-2694	21	13	affect	affect	VERB
fumecheng-2694	21	14	the	the	DET
fumecheng-2694	21	15	mechanical	mechanical	ADJ
fumecheng-2694	21	16	field	field	NOUN
fumecheng-2694	21	17	through	through	ADP
fumecheng-2694	21	18	a	a	DET
fumecheng-2694	21	19	purposeful	purposeful	ADJ
fumecheng-2694	21	20	change	change	NOUN
fumecheng-2694	21	21	of	of	ADP
fumecheng-2694	21	22	the	the	DET
fumecheng-2694	21	23	electric	electric	ADJ
fumecheng-2694	21	24	field	field	NOUN
fumecheng-2694	21	25	.	.	PUNCT
fumecheng-2694	22	1	oppositely	oppositely	ADV
fumecheng-2694	22	2	,	,	PUNCT
fumecheng-2694	22	3	the	the	DET
fumecheng-2694	22	4	direct	direct	ADJ
fumecheng-2694	22	5	piezoelectric	piezoelectric	NOUN
fumecheng-2694	22	6	effect	effect	NOUN
fumecheng-2694	22	7	is	be	AUX
fumecheng-2694	22	8	used	use	VERB
fumecheng-2694	22	9	for	for	ADP
fumecheng-2694	22	10	sensors	sensor	NOUN
fumecheng-2694	22	11	to	to	PART
fumecheng-2694	22	12	gain	gain	VERB
fumecheng-2694	22	13	information	information	NOUN
fumecheng-2694	22	14	on	on	ADP
fumecheng-2694	22	15	the	the	DET
fumecheng-2694	22	16	induced	induced	ADJ
fumecheng-2694	22	17	deformation	deformation	NOUN
fumecheng-2694	22	18	,	,	PUNCT
fumecheng-2694	22	19	i.e.	i.e.	X
fumecheng-2694	22	20	strain	strain	NOUN
fumecheng-2694	22	21	-	-	PUNCT
fumecheng-2694	22	22	field	field	NOUN
fumecheng-2694	22	23	in	in	ADP
fumecheng-2694	22	24	the	the	DET
fumecheng-2694	22	25	material	material	NOUN
fumecheng-2694	22	26	.	.	PUNCT
fumecheng-2694	23	1	the	the	DET
fumecheng-2694	23	2	finite	finite	PROPN
fumecheng-2694	23	3	element	element	NOUN
fumecheng-2694	23	4	method	method	NOUN
fumecheng-2694	23	5	(	(	PUNCT
fumecheng-2694	23	6	fem	fem	NOUN
fumecheng-2694	23	7	)	)	PUNCT
fumecheng-2694	23	8	has	have	AUX
fumecheng-2694	23	9	established	establish	VERB
fumecheng-2694	23	10	itself	itself	PRON
fumecheng-2694	23	11	as	as	ADP
fumecheng-2694	23	12	the	the	DET
fumecheng-2694	23	13	method	method	NOUN
fumecheng-2694	23	14	of	of	ADP
fumecheng-2694	23	15	choice	choice	NOUN
fumecheng-2694	23	16	in	in	ADP
fumecheng-2694	23	17	the	the	DET
fumecheng-2694	23	18	field	field	NOUN
fumecheng-2694	23	19	of	of	ADP
fumecheng-2694	23	20	structural	structural	ADJ
fumecheng-2694	23	21	analysis	analysis	NOUN
fumecheng-2694	23	22	including	include	VERB
fumecheng-2694	23	23	coupled	couple	VERB
fumecheng-2694	23	24	-	-	PUNCT
fumecheng-2694	23	25	field	field	NOUN
fumecheng-2694	23	26	problems	problem	NOUN
fumecheng-2694	23	27	,	,	PUNCT
fumecheng-2694	23	28	such	such	ADJ
fumecheng-2694	23	29	as	as	ADP
fumecheng-2694	23	30	the	the	DET
fumecheng-2694	23	31	piezoelectric	piezoelectric	ADJ
fumecheng-2694	23	32	effect	effect	NOUN
fumecheng-2694	23	33	.	.	PUNCT
fumecheng-2694	24	1	over	over	ADP
fumecheng-2694	24	2	the	the	DET
fumecheng-2694	24	3	last	last	ADJ
fumecheng-2694	24	4	couple	couple	NOUN
fumecheng-2694	24	5	of	of	ADP
fumecheng-2694	24	6	decades	decade	NOUN
fumecheng-2694	24	7	,	,	PUNCT
fumecheng-2694	24	8	numerous	numerous	ADJ
fumecheng-2694	24	9	elements	element	NOUN
fumecheng-2694	24	10	have	have	AUX
fumecheng-2694	24	11	been	be	AUX
fumecheng-2694	24	12	developed	develop	VERB
fumecheng-2694	24	13	for	for	ADP
fumecheng-2694	24	14	static	static	ADJ
fumecheng-2694	24	15	and	and	CCONJ
fumecheng-2694	24	16	dynamic	dynamic	ADJ
fumecheng-2694	24	17	analyses	analysis	NOUN
fumecheng-2694	24	18	of	of	ADP
fumecheng-2694	24	19	piezoelectric	piezoelectric	ADJ
fumecheng-2694	24	20	thin	thin	ADJ
fumecheng-2694	24	21	-	-	PUNCT
fumecheng-2694	24	22	walled	walled	ADJ
fumecheng-2694	24	23	structures	structure	NOUN
fumecheng-2694	24	24	.	.	PUNCT
fumecheng-2694	25	1	a	a	DET
fumecheng-2694	25	2	survey	survey	NOUN
fumecheng-2694	25	3	of	of	ADP
fumecheng-2694	25	4	piezoelectric	piezoelectric	ADJ
fumecheng-2694	25	5	solids	solid	NOUN
fumecheng-2694	25	6	,	,	PUNCT
fumecheng-2694	25	7	beams	beam	NOUN
fumecheng-2694	25	8	,	,	PUNCT
fumecheng-2694	25	9	plates	plate	NOUN
fumecheng-2694	25	10	and	and	CCONJ
fumecheng-2694	25	11	shells	shell	NOUN
fumecheng-2694	25	12	developed	develop	VERB
fumecheng-2694	25	13	in	in	ADP
fumecheng-2694	25	14	the	the	DET
fumecheng-2694	25	15	90	90	NUM
fumecheng-2694	25	16	’s	’s	PART
fumecheng-2694	25	17	is	be	AUX
fumecheng-2694	25	18	given	give	VERB
fumecheng-2694	25	19	by	by	ADP
fumecheng-2694	25	20	benjeddou	benjeddou	NOUN
fumecheng-2694	25	21	[	[	X
fumecheng-2694	25	22	1	1	NUM
fumecheng-2694	25	23	]	]	PUNCT
fumecheng-2694	25	24	.	.	PUNCT
fumecheng-2694	26	1	solid	solid	ADJ
fumecheng-2694	26	2	elements	element	NOUN
fumecheng-2694	26	3	,	,	PUNCT
fumecheng-2694	26	4	such	such	ADJ
fumecheng-2694	26	5	as	as	ADP
fumecheng-2694	26	6	those	those	PRON
fumecheng-2694	26	7	proposed	propose	VERB
fumecheng-2694	26	8	by	by	ADP
fumecheng-2694	26	9	lee	lee	PROPN
fumecheng-2694	26	10	et	et	PROPN
fumecheng-2694	26	11	al	al	PROPN
fumecheng-2694	26	12	.	.	PUNCT
fumecheng-2694	27	1	[	[	X
fumecheng-2694	27	2	2	2	X
fumecheng-2694	27	3	]	]	PUNCT
fumecheng-2694	27	4	and	and	CCONJ
fumecheng-2694	27	5	willberg	willberg	PROPN
fumecheng-2694	27	6	and	and	CCONJ
fumecheng-2694	27	7	gabbert	gabbert	PRON
fumecheng-2694	28	1	[	[	X
fumecheng-2694	28	2	3	3	NUM
fumecheng-2694	28	3	]	]	PUNCT
fumecheng-2694	28	4	,	,	PUNCT
fumecheng-2694	28	5	provide	provide	VERB
fumecheng-2694	28	6	high	high	ADJ
fumecheng-2694	28	7	fidelity	fidelity	PROPN
fumecheng-2694	28	8	fe	fe	PROPN
fumecheng-2694	28	9	modeling	modeling	NOUN
fumecheng-2694	28	10	but	but	CCONJ
fumecheng-2694	28	11	at	at	ADP
fumecheng-2694	28	12	the	the	DET
fumecheng-2694	28	13	price	price	NOUN
fumecheng-2694	28	14	of	of	ADP
fumecheng-2694	28	15	a	a	DET
fumecheng-2694	28	16	high	high	ADJ
fumecheng-2694	28	17	numerical	numerical	ADJ
fumecheng-2694	28	18	effort	effort	NOUN
fumecheng-2694	28	19	when	when	SCONJ
fumecheng-2694	28	20	applied	apply	VERB
fumecheng-2694	28	21	to	to	ADP
fumecheng-2694	28	22	thin	thin	ADJ
fumecheng-2694	28	23	-	-	PUNCT
fumecheng-2694	28	24	walled	walled	ADJ
fumecheng-2694	28	25	composites	composite	NOUN
fumecheng-2694	28	26	.	.	PUNCT
fumecheng-2694	29	1	therefore	therefore	ADV
fumecheng-2694	29	2	,	,	PUNCT
fumecheng-2694	29	3	shell	shell	ADJ
fumecheng-2694	29	4	type	type	NOUN
fumecheng-2694	29	5	finite	finite	ADJ
fumecheng-2694	29	6	elements	element	NOUN
fumecheng-2694	29	7	are	be	AUX
fumecheng-2694	29	8	usually	usually	ADV
fumecheng-2694	29	9	addressed	address	VERB
fumecheng-2694	29	10	as	as	ADP
fumecheng-2694	29	11	numerically	numerically	ADV
fumecheng-2694	29	12	more	more	ADV
fumecheng-2694	29	13	efficient	efficient	ADJ
fumecheng-2694	29	14	for	for	ADP
fumecheng-2694	29	15	this	this	DET
fumecheng-2694	29	16	type	type	NOUN
fumecheng-2694	29	17	of	of	ADP
fumecheng-2694	29	18	structures	structure	NOUN
fumecheng-2694	29	19	when	when	SCONJ
fumecheng-2694	29	20	the	the	DET
fumecheng-2694	29	21	global	global	ADJ
fumecheng-2694	29	22	structural	structural	ADJ
fumecheng-2694	29	23	behavior	behavior	NOUN
fumecheng-2694	29	24	is	be	AUX
fumecheng-2694	29	25	aimed	aim	VERB
fumecheng-2694	29	26	at	at	ADP
fumecheng-2694	29	27	.	.	PUNCT
fumecheng-2694	30	1	most	most	ADJ
fumecheng-2694	30	2	of	of	ADP
fumecheng-2694	30	3	the	the	DET
fumecheng-2694	30	4	composite	composite	ADJ
fumecheng-2694	30	5	shell	shell	NOUN
fumecheng-2694	30	6	fe	fe	NOUN
fumecheng-2694	30	7	formulations	formulation	NOUN
fumecheng-2694	30	8	are	be	AUX
fumecheng-2694	30	9	based	base	VERB
fumecheng-2694	30	10	on	on	ADP
fumecheng-2694	30	11	the	the	DET
fumecheng-2694	30	12	equivalent	equivalent	ADJ
fumecheng-2694	30	13	single	single	ADJ
fumecheng-2694	30	14	-	-	PUNCT
fumecheng-2694	30	15	layer	layer	NOUN
fumecheng-2694	30	16	approach	approach	NOUN
fumecheng-2694	30	17	and	and	CCONJ
fumecheng-2694	30	18	mainly	mainly	ADV
fumecheng-2694	30	19	rely	rely	VERB
fumecheng-2694	30	20	on	on	ADP
fumecheng-2694	30	21	the	the	DET
fumecheng-2694	30	22	kirchhoff	kirchhoff	NOUN
fumecheng-2694	30	23	-	-	PUNCT
fumecheng-2694	30	24	love	love	PROPN
fumecheng-2694	30	25	or	or	CCONJ
fumecheng-2694	30	26	mindlin	mindlin	NOUN
fumecheng-2694	30	27	-	-	PUNCT
fumecheng-2694	30	28	reissner	reissner	NOUN
fumecheng-2694	30	29	kinematics	kinematic	NOUN
fumecheng-2694	30	30	.	.	PUNCT
fumecheng-2694	31	1	the	the	DET
fumecheng-2694	31	2	kirchhoff	kirchhoff	NOUN
fumecheng-2694	31	3	-	-	PUNCT
fumecheng-2694	31	4	love	love	NOUN
fumecheng-2694	31	5	kinematics	kinematic	NOUN
fumecheng-2694	31	6	leads	lead	VERB
fumecheng-2694	31	7	to	to	ADP
fumecheng-2694	31	8	zero	zero	NUM
fumecheng-2694	31	9	transverse	transverse	NOUN
fumecheng-2694	31	10	shear	shear	NOUN
fumecheng-2694	31	11	strains	strain	VERB
fumecheng-2694	31	12	/	/	SYM
fumecheng-2694	31	13	stresses	stress	NOUN
fumecheng-2694	31	14	and	and	CCONJ
fumecheng-2694	31	15	is	be	AUX
fumecheng-2694	31	16	therefore	therefore	ADV
fumecheng-2694	31	17	applicable	applicable	ADJ
fumecheng-2694	31	18	to	to	ADP
fumecheng-2694	31	19	rather	rather	ADV
fumecheng-2694	31	20	thin	thin	ADJ
fumecheng-2694	31	21	shells	shell	NOUN
fumecheng-2694	31	22	.	.	PUNCT
fumecheng-2694	32	1	the	the	DET
fumecheng-2694	32	2	mindlin	mindlin	NOUN
fumecheng-2694	32	3	-	-	PUNCT
fumecheng-2694	32	4	reissner	reissner	NOUN
fumecheng-2694	32	5	kinematics	kinematic	NOUN
fumecheng-2694	32	6	takes	take	VERB
fumecheng-2694	32	7	the	the	DET
fumecheng-2694	32	8	transverse	transverse	ADJ
fumecheng-2694	32	9	shear	shear	NOUN
fumecheng-2694	32	10	strains	strain	VERB
fumecheng-2694	32	11	into	into	ADP
fumecheng-2694	32	12	account	account	NOUN
fumecheng-2694	32	13	,	,	PUNCT
fumecheng-2694	32	14	so	so	SCONJ
fumecheng-2694	32	15	that	that	SCONJ
fumecheng-2694	32	16	the	the	DET
fumecheng-2694	32	17	resulting	result	VERB
fumecheng-2694	32	18	theory	theory	NOUN
fumecheng-2694	32	19	is	be	AUX
fumecheng-2694	32	20	referred	refer	VERB
fumecheng-2694	32	21	to	to	ADP
fumecheng-2694	32	22	as	as	ADP
fumecheng-2694	32	23	the	the	DET
fumecheng-2694	32	24	first	first	ADJ
fumecheng-2694	32	25	-	-	PUNCT
fumecheng-2694	32	26	order	order	NOUN
fumecheng-2694	32	27	shear	shear	NOUN
fumecheng-2694	32	28	deformation	deformation	NOUN
fumecheng-2694	32	29	theory	theory	NOUN
fumecheng-2694	32	30	(	(	PUNCT
fumecheng-2694	32	31	fsdt	fsdt	NOUN
fumecheng-2694	32	32	)	)	PUNCT
fumecheng-2694	32	33	.	.	PUNCT
fumecheng-2694	33	1	the	the	DET
fumecheng-2694	33	2	mindlin	mindlin	NOUN
fumecheng-2694	33	3	-	-	PUNCT
fumecheng-2694	33	4	reissner	reissner	NOUN
fumecheng-2694	33	5	plate	plate	NOUN
fumecheng-2694	33	6	and	and	CCONJ
fumecheng-2694	33	7	shell	shell	ADJ
fumecheng-2694	33	8	elements	element	NOUN
fumecheng-2694	33	9	are	be	AUX
fumecheng-2694	33	10	notorious	notorious	ADJ
fumecheng-2694	33	11	for	for	ADP
fumecheng-2694	33	12	shear	shear	NOUN
fumecheng-2694	33	13	locking	lock	VERB
fumecheng-2694	33	14	when	when	SCONJ
fumecheng-2694	33	15	rather	rather	ADV
fumecheng-2694	33	16	thin	thin	ADJ
fumecheng-2694	33	17	structures	structure	NOUN
fumecheng-2694	33	18	are	be	AUX
fumecheng-2694	33	19	modeled	model	VERB
fumecheng-2694	33	20	.	.	PUNCT
fumecheng-2694	34	1	various	various	ADJ
fumecheng-2694	34	2	techniques	technique	NOUN
fumecheng-2694	34	3	have	have	AUX
fumecheng-2694	34	4	been	be	AUX
fumecheng-2694	34	5	developed	develop	VERB
fumecheng-2694	34	6	to	to	PART
fumecheng-2694	34	7	eliminate	eliminate	VERB
fumecheng-2694	34	8	the	the	DET
fumecheng-2694	34	9	effect	effect	NOUN
fumecheng-2694	34	10	,	,	PUNCT
fumecheng-2694	34	11	such	such	ADJ
fumecheng-2694	34	12	as	as	ADP
fumecheng-2694	34	13	the	the	DET
fumecheng-2694	34	14	assumed	assume	VERB
fumecheng-2694	34	15	natural	natural	ADJ
fumecheng-2694	34	16	strain	strain	NOUN
fumecheng-2694	34	17	(	(	PUNCT
fumecheng-2694	34	18	ans	ans	X
fumecheng-2694	34	19	)	)	PUNCT
fumecheng-2694	35	1	[	[	X
fumecheng-2694	35	2	4	4	NUM
fumecheng-2694	35	3	]	]	PUNCT
fumecheng-2694	35	4	,	,	PUNCT
fumecheng-2694	35	5	enhanced	enhance	VERB
fumecheng-2694	35	6	assumed	assume	VERB
fumecheng-2694	35	7	strain	strain	NOUN
fumecheng-2694	35	8	(	(	PUNCT
fumecheng-2694	35	9	eas	ea	NOUN
fumecheng-2694	35	10	)	)	PUNCT
fumecheng-2694	36	1	[	[	X
fumecheng-2694	36	2	5	5	NUM
fumecheng-2694	36	3	]	]	PUNCT
fumecheng-2694	36	4	,	,	PUNCT
fumecheng-2694	36	5	reduced	reduce	VERB
fumecheng-2694	36	6	integration	integration	NOUN
fumecheng-2694	36	7	schemes	scheme	NOUN
fumecheng-2694	36	8	and	and	CCONJ
fumecheng-2694	36	9	the	the	DET
fumecheng-2694	36	10	discrete	discrete	ADJ
fumecheng-2694	36	11	shear	shear	NOUN
fumecheng-2694	36	12	gap	gap	NOUN
fumecheng-2694	36	13	(	(	PUNCT
fumecheng-2694	36	14	dsg	dsg	PROPN
fumecheng-2694	36	15	)	)	PUNCT
fumecheng-2694	36	16	method	method	NOUN
fumecheng-2694	37	1	[	[	X
fumecheng-2694	37	2	6	6	NUM
fumecheng-2694	37	3	]	]	PUNCT
fumecheng-2694	37	4	.	.	PUNCT
fumecheng-2694	38	1	all	all	PRON
fumecheng-2694	38	2	of	of	ADP
fumecheng-2694	38	3	them	they	PRON
fumecheng-2694	38	4	were	be	AUX
fumecheng-2694	38	5	also	also	ADV
fumecheng-2694	38	6	used	use	VERB
fumecheng-2694	38	7	in	in	ADP
fumecheng-2694	38	8	the	the	DET
fumecheng-2694	38	9	development	development	NOUN
fumecheng-2694	38	10	of	of	ADP
fumecheng-2694	38	11	piezoelectric	piezoelectric	ADJ
fumecheng-2694	38	12	shell	shell	NOUN
fumecheng-2694	38	13	elements	element	NOUN
fumecheng-2694	38	14	.	.	PUNCT
fumecheng-2694	39	1	marinković	marinković	PROPN
fumecheng-2694	39	2	et	et	PROPN
fumecheng-2694	39	3	al	al	PROPN
fumecheng-2694	39	4	.	.	PUNCT
fumecheng-2694	40	1	[	[	X
fumecheng-2694	40	2	7	7	NUM
fumecheng-2694	40	3	]	]	PUNCT
fumecheng-2694	40	4	developed	develop	VERB
fumecheng-2694	40	5	a	a	DET
fumecheng-2694	40	6	full	full	ADJ
fumecheng-2694	40	7	biquadratic	biquadratic	ADJ
fumecheng-2694	40	8	degenerated	degenerated	ADJ
fumecheng-2694	40	9	shell	shell	NOUN
fumecheng-2694	40	10	element	element	NOUN
fumecheng-2694	40	11	with	with	ADP
fumecheng-2694	40	12	a	a	DET
fumecheng-2694	40	13	choice	choice	NOUN
fumecheng-2694	40	14	between	between	ADP
fumecheng-2694	40	15	the	the	DET
fumecheng-2694	40	16	full	full	ADJ
fumecheng-2694	40	17	and	and	CCONJ
fumecheng-2694	40	18	uniformly	uniformly	ADV
fumecheng-2694	40	19	reduced	reduce	VERB
fumecheng-2694	40	20	integration	integration	NOUN
fumecheng-2694	40	21	scheme	scheme	NOUN
fumecheng-2694	40	22	.	.	PUNCT
fumecheng-2694	41	1	the	the	DET
fumecheng-2694	41	2	element	element	NOUN
fumecheng-2694	41	3	was	be	AUX
fumecheng-2694	41	4	used	use	VERB
fumecheng-2694	41	5	to	to	PART
fumecheng-2694	41	6	check	check	VERB
fumecheng-2694	41	7	the	the	DET
fumecheng-2694	41	8	convergence	convergence	NOUN
fumecheng-2694	41	9	of	of	ADP
fumecheng-2694	41	10	fe	fe	NOUN
fumecheng-2694	41	11	results	result	NOUN
fumecheng-2694	41	12	for	for	ADP
fumecheng-2694	41	13	the	the	DET
fumecheng-2694	41	14	coupled	couple	VERB
fumecheng-2694	41	15	electro	electro	ADJ
fumecheng-2694	41	16	-	-	PUNCT
fumecheng-2694	41	17	mechanical	mechanical	ADJ
fumecheng-2694	41	18	field	field	NOUN
fumecheng-2694	42	1	[	[	X
fumecheng-2694	42	2	8	8	NUM
fumecheng-2694	42	3	]	]	PUNCT
fumecheng-2694	42	4	and	and	CCONJ
fumecheng-2694	42	5	it	it	PRON
fumecheng-2694	42	6	was	be	AUX
fumecheng-2694	42	7	also	also	ADV
fumecheng-2694	42	8	implemented	implement	VERB
fumecheng-2694	42	9	in	in	ADP
fumecheng-2694	42	10	abaqus	abaqus	NOUN
fumecheng-2694	42	11	[	[	X
fumecheng-2694	42	12	9	9	NUM
fumecheng-2694	42	13	]	]	PUNCT
fumecheng-2694	42	14	for	for	ADP
fumecheng-2694	42	15	the	the	DET
fumecheng-2694	42	16	users	user	NOUN
fumecheng-2694	42	17	’	’	PART
fumecheng-2694	42	18	convenience	convenience	NOUN
fumecheng-2694	42	19	.	.	PUNCT
fumecheng-2694	43	1	zemčík	zemčík	PROPN
fumecheng-2694	43	2	et	et	PROPN
fumecheng-2694	43	3	al	al	PROPN
fumecheng-2694	43	4	.	.	PUNCT
fumecheng-2694	44	1	[	[	X
fumecheng-2694	44	2	10	10	NUM
fumecheng-2694	44	3	]	]	PUNCT
fumecheng-2694	44	4	developed	develop	VERB
fumecheng-2694	44	5	a	a	DET
fumecheng-2694	44	6	linear	linear	ADJ
fumecheng-2694	44	7	4	4	NUM
fumecheng-2694	44	8	-	-	PUNCT
fumecheng-2694	44	9	node	node	ADJ
fumecheng-2694	44	10	element	element	NOUN
fumecheng-2694	44	11	with	with	ADP
fumecheng-2694	44	12	the	the	DET
fumecheng-2694	44	13	dsg	dsg	PROPN
fumecheng-2694	44	14	method	method	NOUN
fumecheng-2694	44	15	implemented	implement	VERB
fumecheng-2694	44	16	to	to	PART
fumecheng-2694	44	17	resolve	resolve	VERB
fumecheng-2694	44	18	shear	shear	NOUN
fumecheng-2694	44	19	locking	locking	NOUN
fumecheng-2694	44	20	effects	effect	NOUN
fumecheng-2694	44	21	and	and	CCONJ
fumecheng-2694	44	22	eas	ea	NOUN
fumecheng-2694	44	23	to	to	PART
fumecheng-2694	44	24	handle	handle	VERB
fumecheng-2694	44	25	the	the	DET
fumecheng-2694	44	26	membrane	membrane	NOUN
fumecheng-2694	44	27	locking	locking	NOUN
fumecheng-2694	44	28	effects	effect	NOUN
fumecheng-2694	44	29	.	.	PUNCT
fumecheng-2694	45	1	yang	yang	PROPN
fumecheng-2694	45	2	et	et	PROPN
fumecheng-2694	45	3	al	al	PROPN
fumecheng-2694	45	4	.	.	PUNCT
fumecheng-2694	46	1	[	[	X
fumecheng-2694	46	2	11	11	NUM
fumecheng-2694	46	3	]	]	PUNCT
fumecheng-2694	46	4	presented	present	VERB
fumecheng-2694	46	5	a	a	DET
fumecheng-2694	46	6	linear	linear	ADJ
fumecheng-2694	46	7	quadrilateral	quadrilateral	ADJ
fumecheng-2694	46	8	piezoelectric	piezoelectric	NOUN
fumecheng-2694	46	9	shallow	shallow	ADJ
fumecheng-2694	46	10	shell	shell	NOUN
fumecheng-2694	46	11	element	element	NOUN
fumecheng-2694	46	12	with	with	ADP
fumecheng-2694	46	13	the	the	DET
fumecheng-2694	46	14	ans	an	NOUN
fumecheng-2694	46	15	technique	technique	NOUN
fumecheng-2694	46	16	,	,	PUNCT
fumecheng-2694	46	17	while	while	SCONJ
fumecheng-2694	46	18	nguyen	nguyen	PROPN
fumecheng-2694	46	19	et	et	PROPN
fumecheng-2694	46	20	al	al	PROPN
fumecheng-2694	46	21	.	.	PUNCT
fumecheng-2694	47	1	[	[	X
fumecheng-2694	47	2	12	12	NUM
fumecheng-2694	47	3	]	]	PUNCT
fumecheng-2694	47	4	proposed	propose	VERB
fumecheng-2694	47	5	a	a	DET
fumecheng-2694	47	6	linear	linear	ADJ
fumecheng-2694	47	7	triangular	triangular	NOUN
fumecheng-2694	47	8	shell	shell	NOUN
fumecheng-2694	47	9	element	element	NOUN
fumecheng-2694	47	10	based	base	VERB
fumecheng-2694	47	11	on	on	ADP
fumecheng-2694	47	12	the	the	DET
fumecheng-2694	47	13	dsg	dsg	PROPN
fumecheng-2694	47	14	approach	approach	NOUN
fumecheng-2694	47	15	.	.	PUNCT
fumecheng-2694	48	1	besides	besides	SCONJ
fumecheng-2694	48	2	the	the	DET
fumecheng-2694	48	3	equivalent	equivalent	ADJ
fumecheng-2694	48	4	single	single	ADJ
fumecheng-2694	48	5	-	-	PUNCT
fumecheng-2694	48	6	layer	layer	NOUN
fumecheng-2694	48	7	theories	theory	NOUN
fumecheng-2694	48	8	,	,	PUNCT
fumecheng-2694	48	9	layer	layer	NOUN
fumecheng-2694	48	10	-	-	PUNCT
fumecheng-2694	48	11	wise	wise	ADJ
fumecheng-2694	48	12	theories	theory	NOUN
fumecheng-2694	48	13	were	be	AUX
fumecheng-2694	48	14	also	also	ADV
fumecheng-2694	48	15	addressed	address	VERB
fumecheng-2694	48	16	in	in	ADP
fumecheng-2694	48	17	modeling	modeling	NOUN
fumecheng-2694	48	18	of	of	ADP
fumecheng-2694	48	19	smart	smart	ADJ
fumecheng-2694	48	20	laminated	laminate	VERB
fumecheng-2694	48	21	structures	structure	NOUN
fumecheng-2694	48	22	.	.	PUNCT
fumecheng-2694	49	1	a	a	DET
fumecheng-2694	49	2	number	number	NOUN
fumecheng-2694	49	3	of	of	ADP
fumecheng-2694	49	4	those	those	DET
fumecheng-2694	49	5	approaches	approach	NOUN
fumecheng-2694	49	6	rely	rely	VERB
fumecheng-2694	49	7	on	on	ADP
fumecheng-2694	49	8	the	the	DET
fumecheng-2694	49	9	carrera	carrera	PROPN
fumecheng-2694	49	10	unified	unified	ADJ
fumecheng-2694	49	11	formulation	formulation	NOUN
fumecheng-2694	49	12	(	(	PUNCT
fumecheng-2694	49	13	cuf	cuf	PROPN
fumecheng-2694	49	14	)	)	PUNCT
fumecheng-2694	49	15	for	for	ADP
fumecheng-2694	49	16	multilayered	multilayered	ADJ
fumecheng-2694	49	17	plates	plate	NOUN
fumecheng-2694	49	18	and	and	CCONJ
fumecheng-2694	49	19	shells	shell	NOUN
fumecheng-2694	49	20	[	[	X
fumecheng-2694	49	21	13	13	NUM
fumecheng-2694	49	22	]	]	PUNCT
fumecheng-2694	49	23	.	.	PUNCT
fumecheng-2694	50	1	cinefra	cinefra	NOUN
fumecheng-2694	50	2	et	et	PROPN
fumecheng-2694	50	3	al	al	PROPN
fumecheng-2694	50	4	.	.	PUNCT
fumecheng-2694	51	1	[	[	X
fumecheng-2694	51	2	14	14	NUM
fumecheng-2694	51	3	]	]	PUNCT
fumecheng-2694	51	4	proposed	propose	VERB
fumecheng-2694	51	5	a	a	DET
fumecheng-2694	51	6	9	9	NUM
fumecheng-2694	51	7	-	-	PUNCT
fumecheng-2694	51	8	node	node	ADJ
fumecheng-2694	51	9	plate	plate	NOUN
fumecheng-2694	51	10	element	element	NOUN
fumecheng-2694	51	11	that	that	PRON
fumecheng-2694	51	12	implements	implement	VERB
fumecheng-2694	51	13	mixed	mixed	ADJ
fumecheng-2694	51	14	interpolation	interpolation	NOUN
fumecheng-2694	51	15	of	of	ADP
fumecheng-2694	51	16	tensorial	tensorial	ADJ
fumecheng-2694	51	17	components	component	NOUN
fumecheng-2694	51	18	(	(	PUNCT
fumecheng-2694	51	19	mitc	mitc	NOUN
fumecheng-2694	51	20	)	)	PUNCT
fumecheng-2694	51	21	approach	approach	NOUN
fumecheng-2694	51	22	and	and	CCONJ
fumecheng-2694	51	23	variable	variable	ADJ
fumecheng-2694	51	24	through	through	ADP
fumecheng-2694	51	25	-	-	PUNCT
fumecheng-2694	51	26	the	the	DET
fumecheng-2694	51	27	-	-	PUNCT
fumecheng-2694	51	28	thickness	thickness	NOUN
fumecheng-2694	51	29	layer	layer	NOUN
fumecheng-2694	51	30	-	-	PUNCT
fumecheng-2694	51	31	wise	wise	ADJ
fumecheng-2694	51	32	kinematics	kinematic	NOUN
fumecheng-2694	51	33	to	to	PART
fumecheng-2694	51	34	perform	perform	VERB
fumecheng-2694	51	35	linear	linear	ADJ
fumecheng-2694	51	36	static	static	ADJ
fumecheng-2694	51	37	analyses	analysis	NOUN
fumecheng-2694	51	38	.	.	PUNCT
fumecheng-2694	52	1	this	this	DET
fumecheng-2694	52	2	development	development	NOUN
fumecheng-2694	52	3	was	be	AUX
fumecheng-2694	52	4	extended	extend	VERB
fumecheng-2694	52	5	to	to	ADP
fumecheng-2694	52	6	free	free	ADJ
fumecheng-2694	52	7	-	-	PUNCT
fumecheng-2694	52	8	vibration	vibration	NOUN
fumecheng-2694	52	9	analyses	analysis	NOUN
fumecheng-2694	52	10	of	of	ADP
fumecheng-2694	52	11	piezoelectric	piezoelectric	ADJ
fumecheng-2694	52	12	plates	plate	NOUN
fumecheng-2694	52	13	[	[	X
fumecheng-2694	52	14	15	15	NUM
fumecheng-2694	52	15	]	]	PUNCT
fumecheng-2694	52	16	.	.	PUNCT
fumecheng-2694	53	1	milazzo	milazzo	PROPN
fumecheng-2694	54	1	[	[	X
fumecheng-2694	54	2	16	16	NUM
fumecheng-2694	54	3	]	]	PUNCT
fumecheng-2694	54	4	used	use	VERB
fumecheng-2694	54	5	both	both	CCONJ
fumecheng-2694	54	6	equivalent	equivalent	ADJ
fumecheng-2694	54	7	single	single	ADJ
fumecheng-2694	54	8	-	-	PUNCT
fumecheng-2694	54	9	layer	layer	NOUN
fumecheng-2694	54	10	and	and	CCONJ
fumecheng-2694	54	11	layer	layer	NOUN
fumecheng-2694	54	12	-	-	PUNCT
fumecheng-2694	54	13	wise	wise	ADJ
fumecheng-2694	54	14	approaches	approach	NOUN
fumecheng-2694	54	15	for	for	ADP
fumecheng-2694	54	16	piezoelectric	piezoelectric	ADJ
fumecheng-2694	54	17	laminated	laminate	VERB
fumecheng-2694	54	18	plates	plate	NOUN
fumecheng-2694	54	19	whereby	whereby	SCONJ
fumecheng-2694	54	20	the	the	DET
fumecheng-2694	54	21	coupled	couple	VERB
fumecheng-2694	54	22	-	-	PUNCT
fumecheng-2694	54	23	field	field	NOUN
fumecheng-2694	54	24	problem	problem	NOUN
fumecheng-2694	54	25	was	be	AUX
fumecheng-2694	54	26	reduced	reduce	VERB
fumecheng-2694	54	27	to	to	ADP
fumecheng-2694	54	28	mechanical	mechanical	ADJ
fumecheng-2694	54	29	one	one	NUM
fumecheng-2694	54	30	.	.	PUNCT
fumecheng-2694	55	1	the	the	DET
fumecheng-2694	55	2	theoretical	theoretical	ADJ
fumecheng-2694	55	3	contributions	contribution	NOUN
fumecheng-2694	55	4	of	of	ADP
fumecheng-2694	55	5	tzou	tzou	NOUN
fumecheng-2694	55	6	[	[	X
fumecheng-2694	55	7	17	17	NUM
fumecheng-2694	55	8	]	]	PUNCT
fumecheng-2694	55	9	and	and	CCONJ
fumecheng-2694	55	10	numerical	numerical	ADJ
fumecheng-2694	55	11	developments	development	NOUN
fumecheng-2694	55	12	by	by	ADP
fumecheng-2694	55	13	rabinovitch	rabinovitch	NOUN
fumecheng-2694	55	14	[	[	X
fumecheng-2694	55	15	18	18	NUM
fumecheng-2694	55	16	]	]	PUNCT
fumecheng-2694	55	17	,	,	PUNCT
fumecheng-2694	55	18	kulkarni	kulkarni	PROPN
fumecheng-2694	55	19	and	and	CCONJ
fumecheng-2694	55	20	bajoria	bajoria	PROPN
fumecheng-2694	55	21	[	[	X
fumecheng-2694	55	22	19	19	NUM
fumecheng-2694	55	23	]	]	PUNCT
fumecheng-2694	55	24	,	,	PUNCT
fumecheng-2694	55	25	lentzen	lentzen	NOUN
fumecheng-2694	55	26	et	et	PROPN
fumecheng-2694	55	27	al	al	PROPN
fumecheng-2694	55	28	.	.	PUNCT
fumecheng-2694	56	1	[	[	X
fumecheng-2694	56	2	20	20	NUM
fumecheng-2694	56	3	]	]	PUNCT
fumecheng-2694	56	4	,	,	PUNCT
fumecheng-2694	56	5	klinkel	klinkel	NOUN
fumecheng-2694	56	6	and	and	CCONJ
fumecheng-2694	56	7	wagner	wagner	NOUN
fumecheng-2694	56	8	[	[	X
fumecheng-2694	56	9	21	21	NUM
fumecheng-2694	56	10	]	]	PUNCT
fumecheng-2694	56	11	addressed	address	VERB
fumecheng-2694	56	12	the	the	DET
fumecheng-2694	56	13	geometrically	geometrically	ADV
fumecheng-2694	56	14	nonlinear	nonlinear	ADJ
fumecheng-2694	56	15	effects	effect	NOUN
fumecheng-2694	56	16	in	in	ADP
fumecheng-2694	56	17	the	the	DET
fumecheng-2694	56	18	behavior	behavior	NOUN
fumecheng-2694	56	19	of	of	ADP
fumecheng-2694	56	20	smart	smart	ADJ
fumecheng-2694	56	21	thin	thin	ADJ
fumecheng-2694	56	22	-	-	PUNCT
fumecheng-2694	56	23	walled	walled	ADJ
fumecheng-2694	56	24	smart	smart	ADJ
fumecheng-2694	56	25	structures	structure	NOUN
fumecheng-2694	56	26	.	.	PUNCT
fumecheng-2694	57	1	however	however	ADV
fumecheng-2694	57	2	,	,	PUNCT
fumecheng-2694	57	3	a	a	DET
fumecheng-2694	57	4	3	3	NUM
fumecheng-2694	57	5	-	-	PUNCT
fumecheng-2694	57	6	node	node	ADJ
fumecheng-2694	57	7	piezoelectric	piezoelectric	NOUN
fumecheng-2694	57	8	shell	shell	NOUN
fumecheng-2694	57	9	element	element	NOUN
fumecheng-2694	57	10	for	for	ADP
fumecheng-2694	57	11	linear	linear	PROPN
fumecheng-2694	57	12	and	and	CCONJ
fumecheng-2694	57	13	geometrically	geometrically	ADV
fumecheng-2694	57	14	nonlinear	nonlinear	ADJ
fumecheng-2694	57	15	dynamic	dynamic	ADJ
fumecheng-2694	57	16	analysis	analysis	NOUN
fumecheng-2694	57	17	...	...	PUNCT
fumecheng-2694	58	1	33	33	NUM
fumecheng-2694	58	2	so	so	ADV
fumecheng-2694	58	3	far	far	ADV
fumecheng-2694	58	4	this	this	DET
fumecheng-2694	58	5	aspect	aspect	NOUN
fumecheng-2694	58	6	was	be	AUX
fumecheng-2694	58	7	much	much	ADV
fumecheng-2694	58	8	less	less	ADJ
fumecheng-2694	58	9	in	in	ADP
fumecheng-2694	58	10	the	the	DET
fumecheng-2694	58	11	focus	focus	NOUN
fumecheng-2694	58	12	of	of	ADP
fumecheng-2694	58	13	the	the	DET
fumecheng-2694	58	14	researchers	researcher	NOUN
fumecheng-2694	58	15	compared	compare	VERB
fumecheng-2694	58	16	to	to	ADP
fumecheng-2694	58	17	the	the	DET
fumecheng-2694	58	18	developments	development	NOUN
fumecheng-2694	58	19	for	for	ADP
fumecheng-2694	58	20	linear	linear	ADJ
fumecheng-2694	58	21	analysis	analysis	NOUN
fumecheng-2694	58	22	;	;	PUNCT
fumecheng-2694	58	23	thus	thus	ADV
fumecheng-2694	58	24	,	,	PUNCT
fumecheng-2694	58	25	further	further	ADJ
fumecheng-2694	58	26	contributions	contribution	NOUN
fumecheng-2694	58	27	would	would	AUX
fumecheng-2694	58	28	be	be	AUX
fumecheng-2694	58	29	worthwhile	worthwhile	ADJ
fumecheng-2694	58	30	.	.	PUNCT
fumecheng-2694	59	1	in	in	ADP
fumecheng-2694	59	2	the	the	DET
fumecheng-2694	59	3	present	present	ADJ
fumecheng-2694	59	4	work	work	NOUN
fumecheng-2694	59	5	a	a	DET
fumecheng-2694	59	6	recently	recently	ADV
fumecheng-2694	59	7	developed	develop	VERB
fumecheng-2694	59	8	linear	linear	ADJ
fumecheng-2694	59	9	3	3	NUM
fumecheng-2694	59	10	-	-	PUNCT
fumecheng-2694	59	11	node	node	ADJ
fumecheng-2694	59	12	shell	shell	NOUN
fumecheng-2694	59	13	element	element	NOUN
fumecheng-2694	59	14	[	[	X
fumecheng-2694	59	15	22	22	NUM
fumecheng-2694	59	16	]	]	PUNCT
fumecheng-2694	59	17	is	be	AUX
fumecheng-2694	59	18	applied	apply	VERB
fumecheng-2694	59	19	to	to	PART
fumecheng-2694	59	20	resolve	resolve	VERB
fumecheng-2694	59	21	a	a	DET
fumecheng-2694	59	22	linear	linear	ADJ
fumecheng-2694	59	23	and	and	CCONJ
fumecheng-2694	59	24	geometrically	geometrically	ADV
fumecheng-2694	59	25	nonlinear	nonlinear	ADJ
fumecheng-2694	59	26	dynamic	dynamic	ADJ
fumecheng-2694	59	27	response	response	NOUN
fumecheng-2694	59	28	of	of	ADP
fumecheng-2694	59	29	piezoelectric	piezoelectric	ADJ
fumecheng-2694	59	30	laminated	laminate	VERB
fumecheng-2694	59	31	shells	shell	NOUN
fumecheng-2694	59	32	.	.	PUNCT
fumecheng-2694	60	1	the	the	DET
fumecheng-2694	60	2	basic	basic	ADJ
fumecheng-2694	60	3	features	feature	NOUN
fumecheng-2694	60	4	of	of	ADP
fumecheng-2694	60	5	the	the	DET
fumecheng-2694	60	6	element	element	NOUN
fumecheng-2694	60	7	are	be	AUX
fumecheng-2694	60	8	briefly	briefly	ADV
fumecheng-2694	60	9	described	describe	VERB
fumecheng-2694	60	10	and	and	CCONJ
fumecheng-2694	60	11	several	several	ADJ
fumecheng-2694	60	12	dynamic	dynamic	ADJ
fumecheng-2694	60	13	linear	linear	NOUN
fumecheng-2694	60	14	and	and	CCONJ
fumecheng-2694	60	15	nonlinear	nonlinear	ADJ
fumecheng-2694	60	16	sensor	sensor	NOUN
fumecheng-2694	60	17	and	and	CCONJ
fumecheng-2694	60	18	actuator	actuator	NOUN
fumecheng-2694	60	19	cases	case	NOUN
fumecheng-2694	60	20	are	be	AUX
fumecheng-2694	60	21	considered	consider	VERB
fumecheng-2694	60	22	to	to	PART
fumecheng-2694	60	23	verify	verify	VERB
fumecheng-2694	60	24	the	the	DET
fumecheng-2694	60	25	applicability	applicability	NOUN
fumecheng-2694	60	26	of	of	ADP
fumecheng-2694	60	27	the	the	DET
fumecheng-2694	60	28	developed	develop	VERB
fumecheng-2694	60	29	element	element	NOUN
fumecheng-2694	60	30	formulation	formulation	NOUN
fumecheng-2694	60	31	by	by	ADP
fumecheng-2694	60	32	comparing	compare	VERB
fumecheng-2694	60	33	the	the	DET
fumecheng-2694	60	34	obtained	obtain	VERB
fumecheng-2694	60	35	results	result	NOUN
fumecheng-2694	60	36	with	with	ADP
fumecheng-2694	60	37	the	the	DET
fumecheng-2694	60	38	solutions	solution	NOUN
fumecheng-2694	60	39	from	from	ADP
fumecheng-2694	60	40	the	the	DET
fumecheng-2694	60	41	available	available	ADJ
fumecheng-2694	60	42	literature	literature	NOUN
fumecheng-2694	60	43	.	.	PUNCT
fumecheng-2694	61	1	2	2	X
fumecheng-2694	61	2	.	.	X
fumecheng-2694	61	3	features	feature	NOUN
fumecheng-2694	61	4	of	of	ADP
fumecheng-2694	61	5	the	the	DET
fumecheng-2694	61	6	linear	linear	ADJ
fumecheng-2694	61	7	piezoelectric	piezoelectric	NOUN
fumecheng-2694	61	8	shell	shell	NOUN
fumecheng-2694	61	9	element	element	NOUN
fumecheng-2694	61	10	only	only	ADV
fumecheng-2694	61	11	the	the	DET
fumecheng-2694	61	12	most	most	ADV
fumecheng-2694	61	13	important	important	ADJ
fumecheng-2694	61	14	features	feature	NOUN
fumecheng-2694	61	15	of	of	ADP
fumecheng-2694	61	16	the	the	DET
fumecheng-2694	61	17	triangular	triangular	NOUN
fumecheng-2694	61	18	piezoelectric	piezoelectric	NOUN
fumecheng-2694	61	19	shell	shell	NOUN
fumecheng-2694	61	20	element	element	NOUN
fumecheng-2694	61	21	,	,	PUNCT
fumecheng-2694	61	22	which	which	PRON
fumecheng-2694	61	23	is	be	AUX
fumecheng-2694	61	24	used	use	VERB
fumecheng-2694	61	25	in	in	ADP
fumecheng-2694	61	26	this	this	DET
fumecheng-2694	61	27	work	work	NOUN
fumecheng-2694	61	28	,	,	PUNCT
fumecheng-2694	61	29	are	be	AUX
fumecheng-2694	61	30	presented	present	VERB
fumecheng-2694	61	31	here	here	ADV
fumecheng-2694	61	32	.	.	PUNCT
fumecheng-2694	62	1	a	a	DET
fumecheng-2694	62	2	detailed	detailed	ADJ
fumecheng-2694	62	3	element	element	NOUN
fumecheng-2694	62	4	formulation	formulation	NOUN
fumecheng-2694	62	5	can	can	AUX
fumecheng-2694	62	6	be	be	AUX
fumecheng-2694	62	7	found	find	VERB
fumecheng-2694	62	8	in	in	ADP
fumecheng-2694	62	9	[	[	X
fumecheng-2694	62	10	22	22	NUM
fumecheng-2694	62	11	]	]	PUNCT
fumecheng-2694	62	12	.	.	PUNCT
fumecheng-2694	63	1	the	the	DET
fumecheng-2694	63	2	element	element	NOUN
fumecheng-2694	63	3	uses	use	VERB
fumecheng-2694	63	4	five	five	NUM
fumecheng-2694	63	5	mechanical	mechanical	ADJ
fumecheng-2694	63	6	degrees	degree	NOUN
fumecheng-2694	63	7	of	of	ADP
fumecheng-2694	63	8	freedom	freedom	NOUN
fumecheng-2694	63	9	,	,	PUNCT
fumecheng-2694	63	10	three	three	NUM
fumecheng-2694	63	11	translations	translation	NOUN
fumecheng-2694	63	12	and	and	CCONJ
fumecheng-2694	63	13	two	two	NUM
fumecheng-2694	63	14	rotations	rotation	NOUN
fumecheng-2694	63	15	,	,	PUNCT
fumecheng-2694	63	16	per	per	ADP
fumecheng-2694	63	17	node	node	NOUN
fumecheng-2694	63	18	and	and	CCONJ
fumecheng-2694	63	19	,	,	PUNCT
fumecheng-2694	63	20	in	in	ADP
fumecheng-2694	63	21	addition	addition	NOUN
fumecheng-2694	63	22	,	,	PUNCT
fumecheng-2694	63	23	as	as	SCONJ
fumecheng-2694	63	24	many	many	ADJ
fumecheng-2694	63	25	electrical	electrical	ADJ
fumecheng-2694	63	26	degrees	degree	NOUN
fumecheng-2694	63	27	of	of	ADP
fumecheng-2694	63	28	freedom	freedom	NOUN
fumecheng-2694	63	29	as	as	ADP
fumecheng-2694	63	30	piezolayers	piezolayer	NOUN
fumecheng-2694	63	31	.	.	PUNCT
fumecheng-2694	64	1	the	the	DET
fumecheng-2694	64	2	electrical	electrical	ADJ
fumecheng-2694	64	3	degrees	degree	NOUN
fumecheng-2694	64	4	of	of	ADP
fumecheng-2694	64	5	freedom	freedom	NOUN
fumecheng-2694	64	6	are	be	AUX
fumecheng-2694	64	7	the	the	DET
fumecheng-2694	64	8	differences	difference	NOUN
fumecheng-2694	64	9	of	of	ADP
fumecheng-2694	64	10	electric	electric	ADJ
fumecheng-2694	64	11	potentials	potential	NOUN
fumecheng-2694	64	12	between	between	ADP
fumecheng-2694	64	13	the	the	DET
fumecheng-2694	64	14	electrodes	electrode	NOUN
fumecheng-2694	64	15	of	of	ADP
fumecheng-2694	64	16	a	a	DET
fumecheng-2694	64	17	piezolayer	piezolayer	NOUN
fumecheng-2694	64	18	.	.	PUNCT
fumecheng-2694	65	1	the	the	DET
fumecheng-2694	65	2	mechanical	mechanical	ADJ
fumecheng-2694	65	3	field	field	NOUN
fumecheng-2694	65	4	of	of	ADP
fumecheng-2694	65	5	the	the	DET
fumecheng-2694	65	6	element	element	NOUN
fumecheng-2694	65	7	is	be	AUX
fumecheng-2694	65	8	enhanced	enhance	VERB
fumecheng-2694	65	9	by	by	ADP
fumecheng-2694	65	10	the	the	DET
fumecheng-2694	65	11	cell	cell	NOUN
fumecheng-2694	65	12	smoothed	smooth	VERB
fumecheng-2694	65	13	–	–	PUNCT
fumecheng-2694	65	14	discrete	discrete	ADJ
fumecheng-2694	65	15	shear	shear	NOUN
fumecheng-2694	65	16	gap	gap	NOUN
fumecheng-2694	65	17	(	(	PUNCT
fumecheng-2694	65	18	cs	cs	PROPN
fumecheng-2694	65	19	-	-	ADJ
fumecheng-2694	65	20	dsg	dsg	ADJ
fumecheng-2694	65	21	)	)	PUNCT
fumecheng-2694	65	22	formulation	formulation	NOUN
fumecheng-2694	65	23	.	.	PUNCT
fumecheng-2694	66	1	the	the	DET
fumecheng-2694	66	2	mindlin	mindlin	NOUN
fumecheng-2694	66	3	-	-	PUNCT
fumecheng-2694	66	4	reissner	reissner	NOUN
fumecheng-2694	66	5	kinematical	kinematical	ADJ
fumecheng-2694	66	6	assumptions	assumption	NOUN
fumecheng-2694	66	7	are	be	AUX
fumecheng-2694	66	8	implemented	implement	VERB
fumecheng-2694	66	9	and	and	CCONJ
fumecheng-2694	66	10	,	,	PUNCT
fumecheng-2694	66	11	hence	hence	ADV
fumecheng-2694	66	12	,	,	PUNCT
fumecheng-2694	66	13	the	the	DET
fumecheng-2694	66	14	transverse	transverse	ADJ
fumecheng-2694	66	15	shear	shear	NOUN
fumecheng-2694	66	16	effects	effect	NOUN
fumecheng-2694	66	17	are	be	AUX
fumecheng-2694	66	18	included	include	VERB
fumecheng-2694	66	19	.	.	PUNCT
fumecheng-2694	67	1	the	the	DET
fumecheng-2694	67	2	discrete	discrete	ADJ
fumecheng-2694	67	3	shear	shear	NOUN
fumecheng-2694	67	4	gap	gap	NOUN
fumecheng-2694	67	5	technique	technique	NOUN
fumecheng-2694	67	6	proposed	propose	VERB
fumecheng-2694	67	7	by	by	ADP
fumecheng-2694	67	8	bletzinger	bletzinger	NOUN
fumecheng-2694	67	9	[	[	NOUN
fumecheng-2694	67	10	6	6	NUM
fumecheng-2694	67	11	]	]	PUNCT
fumecheng-2694	67	12	is	be	AUX
fumecheng-2694	67	13	implemented	implement	VERB
fumecheng-2694	67	14	to	to	PART
fumecheng-2694	67	15	alleviate	alleviate	VERB
fumecheng-2694	67	16	the	the	DET
fumecheng-2694	67	17	transverse	transverse	ADJ
fumecheng-2694	67	18	shear	shear	NOUN
fumecheng-2694	67	19	locking	locking	NOUN
fumecheng-2694	67	20	.	.	PUNCT
fumecheng-2694	68	1	the	the	DET
fumecheng-2694	68	2	strain	strain	NOUN
fumecheng-2694	68	3	smoothing	smoothing	NOUN
fumecheng-2694	68	4	technique	technique	NOUN
fumecheng-2694	68	5	suggested	suggest	VERB
fumecheng-2694	68	6	by	by	ADP
fumecheng-2694	68	7	nguyen	nguyen	PROPN
fumecheng-2694	68	8	et	et	PROPN
fumecheng-2694	68	9	al	al	PROPN
fumecheng-2694	68	10	.	.	PUNCT
fumecheng-2694	69	1	[	[	X
fumecheng-2694	69	2	12	12	NUM
fumecheng-2694	69	3	]	]	PUNCT
fumecheng-2694	69	4	is	be	AUX
fumecheng-2694	69	5	applied	apply	VERB
fumecheng-2694	69	6	to	to	PART
fumecheng-2694	69	7	improve	improve	VERB
fumecheng-2694	69	8	the	the	DET
fumecheng-2694	69	9	accuracy	accuracy	NOUN
fumecheng-2694	69	10	and	and	CCONJ
fumecheng-2694	69	11	stability	stability	NOUN
fumecheng-2694	69	12	of	of	ADP
fumecheng-2694	69	13	the	the	DET
fumecheng-2694	69	14	element	element	NOUN
fumecheng-2694	69	15	,	,	PUNCT
fumecheng-2694	69	16	and	and	CCONJ
fumecheng-2694	69	17	,	,	PUNCT
fumecheng-2694	69	18	furthermore	furthermore	ADV
fumecheng-2694	69	19	,	,	PUNCT
fumecheng-2694	69	20	to	to	PART
fumecheng-2694	69	21	render	render	VERB
fumecheng-2694	69	22	the	the	DET
fumecheng-2694	69	23	element	element	NOUN
fumecheng-2694	69	24	formulation	formulation	NOUN
fumecheng-2694	69	25	independent	independent	ADJ
fumecheng-2694	69	26	of	of	ADP
fumecheng-2694	69	27	the	the	DET
fumecheng-2694	69	28	node	node	ADJ
fumecheng-2694	69	29	numbering	numbering	NOUN
fumecheng-2694	69	30	sequence	sequence	NOUN
fumecheng-2694	69	31	.	.	PUNCT
fumecheng-2694	70	1	two	two	NUM
fumecheng-2694	70	2	different	different	ADJ
fumecheng-2694	70	3	coordinate	coordinate	NOUN
fumecheng-2694	70	4	systems	system	NOUN
fumecheng-2694	70	5	presented	present	VERB
fumecheng-2694	70	6	in	in	ADP
fumecheng-2694	70	7	fig	fig	NOUN
fumecheng-2694	70	8	.	.	PUNCT
fumecheng-2694	71	1	1	1	NUM
fumecheng-2694	71	2	are	be	AUX
fumecheng-2694	71	3	used	use	VERB
fumecheng-2694	71	4	within	within	ADP
fumecheng-2694	71	5	the	the	DET
fumecheng-2694	71	6	formulation	formulation	NOUN
fumecheng-2694	71	7	:	:	PUNCT
fumecheng-2694	71	8	global	global	ADJ
fumecheng-2694	71	9	(	(	PUNCT
fumecheng-2694	71	10	x	x	X
fumecheng-2694	71	11	,	,	PUNCT
fumecheng-2694	71	12	y	y	PROPN
fumecheng-2694	71	13	,	,	PUNCT
fumecheng-2694	71	14	z	z	NOUN
fumecheng-2694	71	15	)	)	PUNCT
fumecheng-2694	71	16	and	and	CCONJ
fumecheng-2694	71	17	local	local	ADJ
fumecheng-2694	71	18	(	(	PUNCT
fumecheng-2694	71	19	x	x	PROPN
fumecheng-2694	71	20	,	,	PUNCT
fumecheng-2694	71	21	y	y	NOUN
fumecheng-2694	71	22	,	,	PUNCT
fumecheng-2694	71	23	z	z	NOUN
fumecheng-2694	71	24	)	)	PUNCT
fumecheng-2694	71	25	.	.	PUNCT
fumecheng-2694	72	1	the	the	DET
fumecheng-2694	72	2	structural	structural	ADJ
fumecheng-2694	72	3	displacement	displacement	ADJ
fumecheng-2694	72	4	field	field	NOUN
fumecheng-2694	72	5	is	be	AUX
fumecheng-2694	72	6	given	give	VERB
fumecheng-2694	72	7	with	with	ADP
fumecheng-2694	72	8	respect	respect	NOUN
fumecheng-2694	72	9	to	to	ADP
fumecheng-2694	72	10	the	the	DET
fumecheng-2694	72	11	global	global	ADJ
fumecheng-2694	72	12	coordinate	coordinate	NOUN
fumecheng-2694	72	13	system	system	NOUN
fumecheng-2694	72	14	that	that	PRON
fumecheng-2694	72	15	is	be	AUX
fumecheng-2694	72	16	fixed	fix	VERB
fumecheng-2694	72	17	in	in	ADP
fumecheng-2694	72	18	space	space	NOUN
fumecheng-2694	72	19	.	.	PUNCT
fumecheng-2694	73	1	fig	fig	NOUN
fumecheng-2694	73	2	.	.	PUNCT
fumecheng-2694	74	1	1	1	NUM
fumecheng-2694	74	2	geometry	geometry	NOUN
fumecheng-2694	74	3	and	and	CCONJ
fumecheng-2694	74	4	coordinate	coordinate	NOUN
fumecheng-2694	74	5	systems	system	NOUN
fumecheng-2694	74	6	of	of	ADP
fumecheng-2694	74	7	the	the	DET
fumecheng-2694	74	8	3	3	NUM
fumecheng-2694	74	9	-	-	PUNCT
fumecheng-2694	74	10	node	node	ADJ
fumecheng-2694	74	11	shell	shell	NOUN
fumecheng-2694	74	12	element	element	NOUN
fumecheng-2694	74	13	the	the	DET
fumecheng-2694	74	14	local	local	ADJ
fumecheng-2694	74	15	element	element	NOUN
fumecheng-2694	74	16	coordinate	coordinate	NOUN
fumecheng-2694	74	17	system	system	NOUN
fumecheng-2694	74	18	(	(	PUNCT
fumecheng-2694	74	19	x	x	PROPN
fumecheng-2694	74	20	,	,	PUNCT
fumecheng-2694	74	21	y	y	PROPN
fumecheng-2694	74	22	,	,	PUNCT
fumecheng-2694	74	23	z	z	NOUN
fumecheng-2694	74	24	)	)	PUNCT
fumecheng-2694	74	25	is	be	AUX
fumecheng-2694	74	26	used	use	VERB
fumecheng-2694	74	27	to	to	PART
fumecheng-2694	74	28	derive	derive	VERB
fumecheng-2694	74	29	the	the	DET
fumecheng-2694	74	30	mechanical	mechanical	ADJ
fumecheng-2694	74	31	strain	strain	NOUN
fumecheng-2694	74	32	and	and	CCONJ
fumecheng-2694	74	33	stress	stress	NOUN
fumecheng-2694	74	34	fields	field	NOUN
fumecheng-2694	74	35	as	as	ADV
fumecheng-2694	74	36	well	well	ADV
fumecheng-2694	74	37	as	as	ADP
fumecheng-2694	74	38	the	the	DET
fumecheng-2694	74	39	electro	electro	ADJ
fumecheng-2694	74	40	-	-	PUNCT
fumecheng-2694	74	41	mechanical	mechanical	ADJ
fumecheng-2694	74	42	coupling	coupling	NOUN
fumecheng-2694	74	43	.	.	PUNCT
fumecheng-2694	75	1	regarding	regard	VERB
fumecheng-2694	75	2	the	the	DET
fumecheng-2694	75	3	piezoelectric	piezoelectric	ADJ
fumecheng-2694	75	4	layers	layer	NOUN
fumecheng-2694	75	5	,	,	PUNCT
fumecheng-2694	75	6	they	they	PRON
fumecheng-2694	75	7	are	be	AUX
fumecheng-2694	75	8	assumed	assume	VERB
fumecheng-2694	75	9	to	to	PART
fumecheng-2694	75	10	operate	operate	VERB
fumecheng-2694	75	11	by	by	ADP
fumecheng-2694	75	12	using	use	VERB
fumecheng-2694	75	13	the	the	DET
fumecheng-2694	75	14	piezoelectric	piezoelectric	ADJ
fumecheng-2694	75	15	e31	e31	NOUN
fumecheng-2694	75	16	-	-	PUNCT
fumecheng-2694	75	17	effect	effect	NOUN
fumecheng-2694	75	18	,	,	PUNCT
fumecheng-2694	75	19	which	which	PRON
fumecheng-2694	75	20	implies	imply	VERB
fumecheng-2694	75	21	that	that	SCONJ
fumecheng-2694	75	22	the	the	DET
fumecheng-2694	75	23	in	in	ADP
fumecheng-2694	75	24	-	-	PUNCT
fumecheng-2694	75	25	plane	plane	NOUN
fumecheng-2694	75	26	strain	strain	NOUN
fumecheng-2694	75	27	field	field	NOUN
fumecheng-2694	75	28	is	be	AUX
fumecheng-2694	75	29	coupled	couple	VERB
fumecheng-2694	75	30	to	to	ADP
fumecheng-2694	75	31	the	the	DET
fumecheng-2694	75	32	electric	electric	ADJ
fumecheng-2694	75	33	field	field	NOUN
fumecheng-2694	75	34	acting	act	VERB
fumecheng-2694	75	35	in	in	ADP
fumecheng-2694	75	36	the	the	DET
fumecheng-2694	75	37	thickness	thickness	NOUN
fumecheng-2694	75	38	direction	direction	NOUN
fumecheng-2694	75	39	.	.	PUNCT
fumecheng-2694	76	1	electric	electric	ADJ
fumecheng-2694	76	2	field	field	NOUN
fumecheng-2694	76	3	e	e	X
fumecheng-2694	76	4	within	within	ADP
fumecheng-2694	76	5	the	the	DET
fumecheng-2694	76	6	piezoelectric	piezoelectric	ADJ
fumecheng-2694	76	7	layers	layer	NOUN
fumecheng-2694	76	8	is	be	AUX
fumecheng-2694	76	9	assumed	assume	VERB
fumecheng-2694	76	10	to	to	PART
fumecheng-2694	76	11	be	be	AUX
fumecheng-2694	76	12	34	34	NUM
fumecheng-2694	76	13	g.	g.	PROPN
fumecheng-2694	76	14	rama	rama	PROPN
fumecheng-2694	76	15	constant	constant	PROPN
fumecheng-2694	76	16	,	,	PUNCT
fumecheng-2694	76	17	which	which	PRON
fumecheng-2694	76	18	leads	lead	VERB
fumecheng-2694	76	19	to	to	ADP
fumecheng-2694	76	20	a	a	DET
fumecheng-2694	76	21	linear	linear	ADJ
fumecheng-2694	76	22	distribution	distribution	NOUN
fumecheng-2694	76	23	of	of	ADP
fumecheng-2694	76	24	electric	electric	ADJ
fumecheng-2694	76	25	potential	potential	NOUN
fumecheng-2694	76	26	across	across	ADP
fumecheng-2694	76	27	thickness	thickness	NOUN
fumecheng-2694	76	28			PROPN
fumecheng-2694	76	29	so	so	SCONJ
fumecheng-2694	76	30	that	that	SCONJ
fumecheng-2694	76	31	the	the	DET
fumecheng-2694	76	32	following	follow	VERB
fumecheng-2694	76	33	relations	relation	NOUN
fumecheng-2694	76	34	hold	hold	VERB
fumecheng-2694	76	35	:	:	PUNCT
fumecheng-2694	77	1	k	k	PROPN
fumecheng-2694	77	2	k	k	PROPN
fumecheng-2694	78	1	k	k	PROPN
fumecheng-2694	78	2	h	h	NOUN
fumecheng-2694	78	3	e	e	NOUN
fumecheng-2694	78	4	z	z	NOUN
fumecheng-2694	78	5	e	e	NOUN
fumecheng-2694	78	6			PROPN
fumecheng-2694	78	7			PROPN
fumecheng-2694	78	8			VERB
fumecheng-2694	78	9			ADJ
fumecheng-2694	78	10			PROPN
fumecheng-2694	78	11	(	(	PUNCT
fumecheng-2694	78	12	1	1	X
fumecheng-2694	78	13	)	)	PUNCT
fumecheng-2694	78	14	where	where	SCONJ
fumecheng-2694	78	15	k	k	ADJ
fumecheng-2694	78	16	is	be	AUX
fumecheng-2694	78	17	the	the	DET
fumecheng-2694	78	18	difference	difference	NOUN
fumecheng-2694	78	19	of	of	ADP
fumecheng-2694	78	20	electric	electric	ADJ
fumecheng-2694	78	21	potentials	potential	NOUN
fumecheng-2694	78	22	between	between	ADP
fumecheng-2694	78	23	the	the	DET
fumecheng-2694	78	24	electrodes	electrode	NOUN
fumecheng-2694	78	25	and	and	CCONJ
fumecheng-2694	78	26	hk	hk	NOUN
fumecheng-2694	78	27	is	be	AUX
fumecheng-2694	78	28	the	the	DET
fumecheng-2694	78	29	layer	layer	NOUN
fumecheng-2694	78	30	thickness	thickness	NOUN
fumecheng-2694	78	31	(	(	PUNCT
fumecheng-2694	78	32	k	k	X
fumecheng-2694	78	33	in	in	ADP
fumecheng-2694	78	34	the	the	DET
fumecheng-2694	78	35	subscript	subscript	NOUN
fumecheng-2694	78	36	pertains	pertain	VERB
fumecheng-2694	78	37	to	to	ADP
fumecheng-2694	78	38	the	the	DET
fumecheng-2694	78	39	layer	layer	NOUN
fumecheng-2694	78	40	number	number	NOUN
fumecheng-2694	78	41	in	in	ADP
fumecheng-2694	78	42	the	the	DET
fumecheng-2694	78	43	sequence	sequence	NOUN
fumecheng-2694	78	44	of	of	ADP
fumecheng-2694	78	45	layers	layer	NOUN
fumecheng-2694	78	46	)	)	PUNCT
fumecheng-2694	78	47	.	.	PUNCT
fumecheng-2694	79	1	the	the	DET
fumecheng-2694	79	2	element	element	NOUN
fumecheng-2694	79	3	formulation	formulation	NOUN
fumecheng-2694	79	4	is	be	AUX
fumecheng-2694	79	5	also	also	ADV
fumecheng-2694	79	6	extended	extend	VERB
fumecheng-2694	79	7	to	to	ADP
fumecheng-2694	79	8	the	the	DET
fumecheng-2694	79	9	geometrically	geometrically	ADV
fumecheng-2694	79	10	nonlinear	nonlinear	ADJ
fumecheng-2694	79	11	analysis	analysis	NOUN
fumecheng-2694	79	12	.	.	PUNCT
fumecheng-2694	80	1	for	for	ADP
fumecheng-2694	80	2	this	this	DET
fumecheng-2694	80	3	purpose	purpose	NOUN
fumecheng-2694	80	4	the	the	DET
fumecheng-2694	80	5	element	element	NOUN
fumecheng-2694	80	6	-	-	PUNCT
fumecheng-2694	80	7	based	base	VERB
fumecheng-2694	80	8	co	co	NOUN
fumecheng-2694	80	9	-	-	ADJ
fumecheng-2694	80	10	rotational	rotational	ADJ
fumecheng-2694	80	11	(	(	PUNCT
fumecheng-2694	80	12	cr	cr	NOUN
fumecheng-2694	80	13	)	)	PUNCT
fumecheng-2694	80	14	fe	fe	NOUN
fumecheng-2694	80	15	formulation	formulation	NOUN
fumecheng-2694	81	1	[	[	X
fumecheng-2694	81	2	22	22	NUM
fumecheng-2694	81	3	,	,	PUNCT
fumecheng-2694	81	4	23	23	NUM
fumecheng-2694	81	5	]	]	PUNCT
fumecheng-2694	81	6	is	be	AUX
fumecheng-2694	81	7	used	use	VERB
fumecheng-2694	81	8	,	,	PUNCT
fumecheng-2694	81	9	thus	thus	ADV
fumecheng-2694	81	10	covering	cover	VERB
fumecheng-2694	81	11	structural	structural	ADJ
fumecheng-2694	81	12	deformations	deformation	NOUN
fumecheng-2694	81	13	characterized	characterize	VERB
fumecheng-2694	81	14	by	by	ADP
fumecheng-2694	81	15	the	the	DET
fumecheng-2694	81	16	finite	finite	ADJ
fumecheng-2694	81	17	local	local	ADJ
fumecheng-2694	81	18	rotations	rotation	NOUN
fumecheng-2694	81	19	,	,	PUNCT
fumecheng-2694	81	20	whereby	whereby	SCONJ
fumecheng-2694	81	21	the	the	DET
fumecheng-2694	81	22	strains	strain	NOUN
fumecheng-2694	81	23	remain	remain	VERB
fumecheng-2694	81	24	small	small	ADJ
fumecheng-2694	81	25	.	.	PUNCT
fumecheng-2694	82	1	3	3	X
fumecheng-2694	82	2	.	.	X
fumecheng-2694	82	3	finite	finite	PROPN
fumecheng-2694	82	4	element	element	PROPN
fumecheng-2694	82	5	equations	equation	NOUN
fumecheng-2694	82	6	the	the	DET
fumecheng-2694	82	7	coupled	couple	VERB
fumecheng-2694	82	8	electro	electro	ADJ
fumecheng-2694	82	9	-	-	PUNCT
fumecheng-2694	82	10	mechanical	mechanical	ADJ
fumecheng-2694	82	11	dynamic	dynamic	ADJ
fumecheng-2694	82	12	fe	fe	NOUN
fumecheng-2694	82	13	equations	equation	NOUN
fumecheng-2694	82	14	may	may	AUX
fumecheng-2694	82	15	be	be	AUX
fumecheng-2694	82	16	derived	derive	VERB
fumecheng-2694	82	17	using	use	VERB
fumecheng-2694	82	18	the	the	DET
fumecheng-2694	82	19	hamilton	hamilton	PROPN
fumecheng-2694	82	20	’s	’s	PART
fumecheng-2694	82	21	principle	principle	NOUN
fumecheng-2694	82	22	for	for	ADP
fumecheng-2694	82	23	a	a	DET
fumecheng-2694	82	24	piezoelectric	piezoelectric	ADJ
fumecheng-2694	82	25	continuum	continuum	ADJ
fumecheng-2694	83	1	[	[	X
fumecheng-2694	83	2	24	24	NUM
fumecheng-2694	83	3	]	]	PUNCT
fumecheng-2694	83	4	.	.	PUNCT
fumecheng-2694	84	1	the	the	DET
fumecheng-2694	84	2	fe	fe	PROPN
fumecheng-2694	84	3	system	system	NOUN
fumecheng-2694	84	4	of	of	ADP
fumecheng-2694	84	5	equations	equation	NOUN
fumecheng-2694	84	6	for	for	ADP
fumecheng-2694	84	7	a	a	DET
fumecheng-2694	84	8	geometrically	geometrically	ADV
fumecheng-2694	84	9	nonlinear	nonlinear	ADJ
fumecheng-2694	84	10	dynamic	dynamic	ADJ
fumecheng-2694	84	11	analysis	analysis	NOUN
fumecheng-2694	84	12	by	by	ADP
fumecheng-2694	84	13	means	mean	NOUN
fumecheng-2694	84	14	of	of	ADP
fumecheng-2694	84	15	an	an	DET
fumecheng-2694	84	16	implicit	implicit	ADJ
fumecheng-2694	84	17	time	time	NOUN
fumecheng-2694	84	18	integration	integration	NOUN
fumecheng-2694	84	19	scheme	scheme	NOUN
fumecheng-2694	84	20	reads	read	NOUN
fumecheng-2694	84	21	:	:	PUNCT
fumecheng-2694	84	22	t	t	PROPN
fumecheng-2694	84	23	tt	tt	PROPN
fumecheng-2694	84	24	t	t	PROPN
fumecheng-2694	84	25	(	(	PUNCT
fumecheng-2694	84	26	k	k	PROPN
fumecheng-2694	84	27	)	)	PUNCT
fumecheng-2694	84	28	t	t	PROPN
fumecheng-2694	84	29	t	t	PROPN
fumecheng-2694	84	30	t	t	PROPN
fumecheng-2694	84	31	t	t	PROPN
fumecheng-2694	84	32	t	t	PROPN
fumecheng-2694	84	33	(	(	PUNCT
fumecheng-2694	84	34	k	k	NOUN
fumecheng-2694	84	35	)	)	PUNCT
fumecheng-2694	84	36	uu	uu	PROPN
fumecheng-2694	84	37	uuu	uuu	PROPN
fumecheng-2694	84	38	uu	uu	PROPN
fumecheng-2694	84	39	t	t	PROPN
fumecheng-2694	84	40	t	t	PROPN
fumecheng-2694	84	41	t	t	PROPN
fumecheng-2694	84	42	(	(	PUNCT
fumecheng-2694	84	43	k	k	X
fumecheng-2694	84	44	)	)	PUNCT
fumecheng-2694	84	45	u	u	NOUN
fumecheng-2694	84	46	t	t	PROPN
fumecheng-2694	84	47	t	t	PROPN
fumecheng-2694	84	48	t	t	PROPN
fumecheng-2694	84	49	t	t	PROPN
fumecheng-2694	84	50	(	(	PUNCT
fumecheng-2694	84	51	k	k	PROPN
fumecheng-2694	84	52	1	1	X
fumecheng-2694	84	53	)	)	PUNCT
fumecheng-2694	84	54	ext	ext	NOUN
fumecheng-2694	84	55	in	in	ADP
fumecheng-2694	84	56	t	t	PROPN
fumecheng-2694	84	57	t	t	PROPN
fumecheng-2694	84	58	t	t	PROPN
fumecheng-2694	84	59	t	t	PROPN
fumecheng-2694	84	60	(	(	PUNCT
fumecheng-2694	84	61	k	k	PROPN
fumecheng-2694	84	62	1	1	X
fumecheng-2694	84	63	)	)	PUNCT
fumecheng-2694	84	64	ext	ext	NOUN
fumecheng-2694	84	65	in	in	ADP
fumecheng-2694	84	66	[	[	X
fumecheng-2694	84	67	k	k	X
fumecheng-2694	84	68	]	]	X
fumecheng-2694	85	1	[	[	X
fumecheng-2694	85	2	k	k	X
fumecheng-2694	85	3	]	]	X
fumecheng-2694	85	4	[	[	X
fumecheng-2694	85	5	m	m	X
fumecheng-2694	85	6	]	]	X
fumecheng-2694	85	7	[	[	X
fumecheng-2694	85	8	0	0	X
fumecheng-2694	85	9	]	]	X
fumecheng-2694	85	10	{	{	PUNCT
fumecheng-2694	85	11	u	u	NOUN
fumecheng-2694	85	12	}	}	PUNCT
fumecheng-2694	86	1	[	[	X
fumecheng-2694	86	2	c	c	X
fumecheng-2694	86	3	]	]	X
fumecheng-2694	87	1	[	[	X
fumecheng-2694	87	2	0	0	X
fumecheng-2694	87	3	]	]	X
fumecheng-2694	87	4	{	{	PUNCT
fumecheng-2694	87	5	u	u	NOUN
fumecheng-2694	87	6	}	}	PUNCT
fumecheng-2694	87	7	{	{	PUNCT
fumecheng-2694	87	8	u	u	NOUN
fumecheng-2694	87	9	}	}	PUNCT
fumecheng-2694	88	1	[	[	X
fumecheng-2694	88	2	k	k	X
fumecheng-2694	88	3	]	]	X
fumecheng-2694	89	1	[	[	X
fumecheng-2694	89	2	k	k	X
fumecheng-2694	89	3	]	]	X
fumecheng-2694	89	4	[	[	X
fumecheng-2694	89	5	0	0	X
fumecheng-2694	89	6	]	]	X
fumecheng-2694	89	7	[	[	X
fumecheng-2694	89	8	0	0	X
fumecheng-2694	89	9	]	]	X
fumecheng-2694	89	10	{	{	PUNCT
fumecheng-2694	89	11	0	0	NUM
fumecheng-2694	89	12	}	}	PUNCT
fumecheng-2694	89	13	[	[	X
fumecheng-2694	89	14	0	0	X
fumecheng-2694	89	15	]	]	X
fumecheng-2694	90	1	[	[	X
fumecheng-2694	90	2	0	0	X
fumecheng-2694	90	3	]	]	X
fumecheng-2694	90	4	{	{	PUNCT
fumecheng-2694	90	5	0	0	NUM
fumecheng-2694	90	6	}	}	PUNCT
fumecheng-2694	90	7	{	{	PUNCT
fumecheng-2694	90	8	}	}	PUNCT
fumecheng-2694	90	9	{	{	PUNCT
fumecheng-2694	90	10	f	f	NOUN
fumecheng-2694	90	11	}	}	PUNCT
fumecheng-2694	90	12	{	{	PUNCT
fumecheng-2694	90	13	f	f	PROPN
fumecheng-2694	90	14	}	}	PUNCT
fumecheng-2694	90	15	{	{	PUNCT
fumecheng-2694	90	16	q	q	NOUN
fumecheng-2694	90	17	}	}	PUNCT
fumecheng-2694	90	18	{	{	PUNCT
fumecheng-2694	90	19	q	q	NOUN
fumecheng-2694	90	20	}	}	PUNCT
fumecheng-2694	90	21			NOUN
fumecheng-2694	90	22			NOUN
fumecheng-2694	90	23			NOUN
fumecheng-2694	90	24			NOUN
fumecheng-2694	90	25			PROPN
fumecheng-2694	90	26			PROPN
fumecheng-2694	90	27			PROPN
fumecheng-2694	90	28			PROPN
fumecheng-2694	90	29			PROPN
fumecheng-2694	90	30			PROPN
fumecheng-2694	90	31			PROPN
fumecheng-2694	90	32			PROPN
fumecheng-2694	90	33			VERB
fumecheng-2694	90	34			PROPN
fumecheng-2694	90	35			PROPN
fumecheng-2694	91	1			NUM
fumecheng-2694	91	2			PROPN
fumecheng-2694	91	3			NOUN
fumecheng-2694	91	4			NOUN
fumecheng-2694	92	1			NOUN
fumecheng-2694	92	2			ADV
fumecheng-2694	92	3			VERB
fumecheng-2694	92	4			NOUN
fumecheng-2694	92	5			PROPN
fumecheng-2694	92	6			PUNCT
fumecheng-2694	92	7			X
fumecheng-2694	92	8			X
fumecheng-2694	92	9			NOUN
fumecheng-2694	93	1			NUM
fumecheng-2694	93	2			NUM
fumecheng-2694	93	3			PROPN
fumecheng-2694	93	4			VERB
fumecheng-2694	93	5			NOUN
fumecheng-2694	93	6			PROPN
fumecheng-2694	93	7			PROPN
fumecheng-2694	93	8			PROPN
fumecheng-2694	93	9			PROPN
fumecheng-2694	94	1			PROPN
fumecheng-2694	94	2			PROPN
fumecheng-2694	94	3			VERB
fumecheng-2694	94	4			PROPN
fumecheng-2694	94	5			PROPN
fumecheng-2694	94	6			PROPN
fumecheng-2694	95	1			PROPN
fumecheng-2694	95	2			PROPN
fumecheng-2694	95	3			PROPN
fumecheng-2694	95	4			NOUN
fumecheng-2694	95	5			PROPN
fumecheng-2694	95	6			NUM
fumecheng-2694	95	7			PROPN
fumecheng-2694	95	8			NUM
fumecheng-2694	95	9			NOUN
fumecheng-2694	95	10			PROPN
fumecheng-2694	95	11			PROPN
fumecheng-2694	95	12			PROPN
fumecheng-2694	95	13	(	(	PUNCT
fumecheng-2694	95	14	2	2	NUM
fumecheng-2694	95	15	)	)	PUNCT
fumecheng-2694	95	16	where	where	SCONJ
fumecheng-2694	95	17	[	[	X
fumecheng-2694	95	18	muu	muu	X
fumecheng-2694	95	19	]	]	X
fumecheng-2694	95	20	is	be	AUX
fumecheng-2694	95	21	the	the	DET
fumecheng-2694	95	22	mass	mass	ADJ
fumecheng-2694	95	23	matrix	matrix	NOUN
fumecheng-2694	95	24	,	,	PUNCT
fumecheng-2694	95	25	[	[	X
fumecheng-2694	95	26	cuu	cuu	X
fumecheng-2694	95	27	]	]	X
fumecheng-2694	95	28	the	the	DET
fumecheng-2694	95	29	damping	damp	VERB
fumecheng-2694	95	30	matrix	matrix	NOUN
fumecheng-2694	95	31	,	,	PUNCT
fumecheng-2694	95	32	[	[	X
fumecheng-2694	95	33	kuu	kuu	X
fumecheng-2694	95	34	]	]	X
fumecheng-2694	95	35	,	,	PUNCT
fumecheng-2694	96	1	[	[	X
fumecheng-2694	96	2	ku	ku	X
fumecheng-2694	96	3	]	]	X
fumecheng-2694	96	4	,	,	PUNCT
fumecheng-2694	96	5	[	[	X
fumecheng-2694	96	6	ku	ku	X
fumecheng-2694	96	7	]	]	X
fumecheng-2694	96	8	and	and	CCONJ
fumecheng-2694	96	9	[	[	X
fumecheng-2694	96	10	k	k	X
fumecheng-2694	96	11	]	]	X
fumecheng-2694	96	12	are	be	AUX
fumecheng-2694	96	13	mechanical	mechanical	ADJ
fumecheng-2694	96	14	stiffness	stiffness	NOUN
fumecheng-2694	96	15	,	,	PUNCT
fumecheng-2694	96	16	piezoelectric	piezoelectric	ADJ
fumecheng-2694	96	17	direct	direct	ADJ
fumecheng-2694	96	18	and	and	CCONJ
fumecheng-2694	96	19	inverse	inverse	NOUN
fumecheng-2694	96	20	coupling	coupling	NOUN
fumecheng-2694	96	21	,	,	PUNCT
fumecheng-2694	96	22	and	and	CCONJ
fumecheng-2694	96	23	dielectric	dielectric	ADJ
fumecheng-2694	96	24	stiffness	stiffness	ADJ
fumecheng-2694	96	25	matrices	matrix	NOUN
fumecheng-2694	96	26	,	,	PUNCT
fumecheng-2694	96	27	respectively	respectively	ADV
fumecheng-2694	96	28	,	,	PUNCT
fumecheng-2694	96	29	while	while	SCONJ
fumecheng-2694	96	30	vectors	vector	NOUN
fumecheng-2694	96	31	{	{	PUNCT
fumecheng-2694	96	32	∆	∆	ADV
fumecheng-2694	96	33	}	}	PUNCT
fumecheng-2694	96	34	,	,	PUNCT
fumecheng-2694	96	35	{	{	PUNCT
fumecheng-2694	96	36	∆u	∆u	ADV
fumecheng-2694	96	37	}	}	PUNCT
fumecheng-2694	96	38	,	,	PUNCT
fumecheng-2694	96	39	{	{	PUNCT
fumecheng-2694	96	40	u	u	NOUN
fumecheng-2694	96	41	}	}	PUNCT
fumecheng-2694	96	42	,	,	PUNCT
fumecheng-2694	96	43	{	{	PUNCT
fumecheng-2694	96	44	u	u	ADJ
fumecheng-2694	96	45	}	}	PUNCT
fumecheng-2694	96	46	comprise	comprise	VERB
fumecheng-2694	96	47	the	the	DET
fumecheng-2694	96	48	incremental	incremental	ADJ
fumecheng-2694	96	49	differences	difference	NOUN
fumecheng-2694	96	50	of	of	ADP
fumecheng-2694	96	51	electric	electric	ADJ
fumecheng-2694	96	52	potentials	potential	NOUN
fumecheng-2694	96	53	of	of	ADP
fumecheng-2694	96	54	the	the	DET
fumecheng-2694	96	55	piezolayers	piezolayer	NOUN
fumecheng-2694	96	56	,	,	PUNCT
fumecheng-2694	96	57	incremental	incremental	ADJ
fumecheng-2694	96	58	displacements	displacement	NOUN
fumecheng-2694	96	59	,	,	PUNCT
fumecheng-2694	96	60	nodal	nodal	NOUN
fumecheng-2694	96	61	velocities	velocity	NOUN
fumecheng-2694	96	62	and	and	CCONJ
fumecheng-2694	96	63	accelerations	acceleration	NOUN
fumecheng-2694	96	64	,	,	PUNCT
fumecheng-2694	96	65	respectively	respectively	ADV
fumecheng-2694	96	66	.	.	PUNCT
fumecheng-2694	97	1	vectors	vector	NOUN
fumecheng-2694	97	2	{	{	PUNCT
fumecheng-2694	97	3	fext	fext	PROPN
fumecheng-2694	97	4	}	}	PUNCT
fumecheng-2694	97	5	,	,	PUNCT
fumecheng-2694	97	6	{	{	PUNCT
fumecheng-2694	97	7	fin	fin	NOUN
fumecheng-2694	97	8	}	}	PUNCT
fumecheng-2694	97	9	,	,	PUNCT
fumecheng-2694	97	10	{	{	PUNCT
fumecheng-2694	97	11	qext	qext	NOUN
fumecheng-2694	97	12	}	}	PUNCT
fumecheng-2694	97	13	and	and	CCONJ
fumecheng-2694	97	14	{	{	PUNCT
fumecheng-2694	97	15	qin	qin	INTJ
fumecheng-2694	97	16	}	}	PUNCT
fumecheng-2694	97	17	on	on	ADP
fumecheng-2694	97	18	the	the	DET
fumecheng-2694	97	19	right	right	ADJ
fumecheng-2694	97	20	hand	hand	NOUN
fumecheng-2694	97	21	-	-	PUNCT
fumecheng-2694	97	22	side	side	NOUN
fumecheng-2694	97	23	of	of	ADP
fumecheng-2694	97	24	the	the	DET
fumecheng-2694	97	25	fe	fe	PROPN
fumecheng-2694	97	26	equations	equation	NOUN
fumecheng-2694	97	27	are	be	AUX
fumecheng-2694	97	28	external	external	ADJ
fumecheng-2694	97	29	and	and	CCONJ
fumecheng-2694	97	30	internal	internal	ADJ
fumecheng-2694	97	31	mechanical	mechanical	ADJ
fumecheng-2694	97	32	forces	force	NOUN
fumecheng-2694	97	33	and	and	CCONJ
fumecheng-2694	97	34	electric	electric	ADJ
fumecheng-2694	97	35	charges	charge	NOUN
fumecheng-2694	97	36	,	,	PUNCT
fumecheng-2694	97	37	respectively	respectively	ADV
fumecheng-2694	97	38	.	.	PUNCT
fumecheng-2694	98	1	index	index	NOUN
fumecheng-2694	98	2	k	k	PROPN
fumecheng-2694	98	3	in	in	ADP
fumecheng-2694	98	4	the	the	DET
fumecheng-2694	98	5	superscript	superscript	NOUN
fumecheng-2694	98	6	denotes	denote	VERB
fumecheng-2694	98	7	the	the	DET
fumecheng-2694	98	8	iteration	iteration	NOUN
fumecheng-2694	98	9	number	number	NOUN
fumecheng-2694	98	10	.	.	PUNCT
fumecheng-2694	99	1	rayleigh	rayleigh	PROPN
fumecheng-2694	99	2	damping	damp	VERB
fumecheng-2694	99	3	is	be	AUX
fumecheng-2694	99	4	used	use	VERB
fumecheng-2694	99	5	to	to	PART
fumecheng-2694	99	6	introduce	introduce	VERB
fumecheng-2694	99	7	the	the	DET
fumecheng-2694	99	8	dissipative	dissipative	ADJ
fumecheng-2694	99	9	effects	effect	NOUN
fumecheng-2694	99	10	in	in	ADP
fumecheng-2694	99	11	the	the	DET
fumecheng-2694	99	12	fe	fe	PROPN
fumecheng-2694	99	13	equations	equation	NOUN
fumecheng-2694	99	14	.	.	PUNCT
fumecheng-2694	100	1	it	it	PRON
fumecheng-2694	100	2	consists	consist	VERB
fumecheng-2694	100	3	of	of	ADP
fumecheng-2694	100	4	stiffness	stiffness	NOUN
fumecheng-2694	100	5	and	and	CCONJ
fumecheng-2694	100	6	mass	mass	ADJ
fumecheng-2694	100	7	proportional	proportional	ADJ
fumecheng-2694	100	8	terms	term	NOUN
fumecheng-2694	100	9	:	:	PUNCT
fumecheng-2694	100	10	uu	uu	ADJ
fumecheng-2694	100	11	uu	uu	INTJ
fumecheng-2694	100	12	uu[c	uu[c	PROPN
fumecheng-2694	100	13	]	]	PUNCT
fumecheng-2694	101	1	[	[	X
fumecheng-2694	101	2	k	k	X
fumecheng-2694	101	3	]	]	X
fumecheng-2694	102	1	[	[	X
fumecheng-2694	102	2	m	m	X
fumecheng-2694	102	3	]	]	X
fumecheng-2694	102	4			NUM
fumecheng-2694	102	5			X
fumecheng-2694	102	6			NOUN
fumecheng-2694	102	7	(	(	PUNCT
fumecheng-2694	102	8	3	3	NUM
fumecheng-2694	102	9	)	)	PUNCT
fumecheng-2694	102	10	where	where	SCONJ
fumecheng-2694	102	11	α	α	NOUN
fumecheng-2694	102	12	and	and	CCONJ
fumecheng-2694	102	13	β	β	X
fumecheng-2694	102	14	are	be	AUX
fumecheng-2694	102	15	the	the	DET
fumecheng-2694	102	16	rayleigh	rayleigh	NOUN
fumecheng-2694	102	17	damping	damp	VERB
fumecheng-2694	102	18	coefficients	coefficient	NOUN
fumecheng-2694	103	1	[	[	X
fumecheng-2694	103	2	25	25	NUM
fumecheng-2694	103	3	]	]	PUNCT
fumecheng-2694	103	4	.	.	PUNCT
fumecheng-2694	104	1	4	4	X
fumecheng-2694	104	2	.	.	X
fumecheng-2694	104	3	numerical	numerical	ADJ
fumecheng-2694	104	4	examples	example	NOUN
fumecheng-2694	104	5	in	in	ADP
fumecheng-2694	104	6	what	what	PRON
fumecheng-2694	104	7	follows	follow	VERB
fumecheng-2694	104	8	,	,	PUNCT
fumecheng-2694	104	9	a	a	DET
fumecheng-2694	104	10	set	set	NOUN
fumecheng-2694	104	11	of	of	ADP
fumecheng-2694	104	12	examples	example	NOUN
fumecheng-2694	104	13	is	be	AUX
fumecheng-2694	104	14	studied	study	VERB
fumecheng-2694	104	15	to	to	PART
fumecheng-2694	104	16	demonstrate	demonstrate	VERB
fumecheng-2694	104	17	the	the	DET
fumecheng-2694	104	18	applicability	applicability	NOUN
fumecheng-2694	104	19	of	of	ADP
fumecheng-2694	104	20	the	the	DET
fumecheng-2694	104	21	element	element	NOUN
fumecheng-2694	104	22	for	for	ADP
fumecheng-2694	104	23	linear	linear	PROPN
fumecheng-2694	104	24	and	and	CCONJ
fumecheng-2694	104	25	geometrically	geometrically	ADV
fumecheng-2694	104	26	nonlinear	nonlinear	ADJ
fumecheng-2694	104	27	dynamic	dynamic	ADJ
fumecheng-2694	104	28	analysis	analysis	NOUN
fumecheng-2694	104	29	of	of	ADP
fumecheng-2694	104	30	smart	smart	ADJ
fumecheng-2694	104	31	thin	thin	ADJ
fumecheng-2694	104	32	-	-	PUNCT
fumecheng-2694	104	33	walled	walled	ADJ
fumecheng-2694	104	34	structures	structure	NOUN
fumecheng-2694	104	35	.	.	PUNCT
fumecheng-2694	105	1	the	the	DET
fumecheng-2694	105	2	considered	consider	VERB
fumecheng-2694	105	3	structures	structure	NOUN
fumecheng-2694	105	4	are	be	AUX
fumecheng-2694	105	5	made	make	VERB
fumecheng-2694	105	6	of	of	ADP
fumecheng-2694	105	7	composite	composite	ADJ
fumecheng-2694	105	8	laminates	laminate	NOUN
fumecheng-2694	105	9	with	with	ADP
fumecheng-2694	105	10	various	various	ADJ
fumecheng-2694	105	11	combinations	combination	NOUN
fumecheng-2694	105	12	of	of	ADP
fumecheng-2694	105	13	fiber	fiber	NOUN
fumecheng-2694	105	14	-	-	PUNCT
fumecheng-2694	105	15	reinforced	reinforce	VERB
fumecheng-2694	105	16	,	,	PUNCT
fumecheng-2694	105	17	isotropic	isotropic	NOUN
fumecheng-2694	105	18	and	and	CCONJ
fumecheng-2694	105	19	piezoelectric	piezoelectric	ADJ
fumecheng-2694	105	20	layers	layer	NOUN
fumecheng-2694	105	21	.	.	PUNCT
fumecheng-2694	106	1	the	the	DET
fumecheng-2694	106	2	properties	property	NOUN
fumecheng-2694	106	3	of	of	ADP
fumecheng-2694	106	4	all	all	DET
fumecheng-2694	106	5	a	a	DET
fumecheng-2694	106	6	3	3	NUM
fumecheng-2694	106	7	-	-	PUNCT
fumecheng-2694	106	8	node	node	ADJ
fumecheng-2694	106	9	piezoelectric	piezoelectric	NOUN
fumecheng-2694	106	10	shell	shell	NOUN
fumecheng-2694	106	11	element	element	NOUN
fumecheng-2694	106	12	for	for	ADP
fumecheng-2694	106	13	linear	linear	PROPN
fumecheng-2694	106	14	and	and	CCONJ
fumecheng-2694	106	15	geometrically	geometrically	ADV
fumecheng-2694	106	16	nonlinear	nonlinear	ADJ
fumecheng-2694	106	17	dynamic	dynamic	ADJ
fumecheng-2694	106	18	analysis	analysis	NOUN
fumecheng-2694	106	19	...	...	PUNCT
fumecheng-2694	106	20	35	35	NUM
fumecheng-2694	106	21	the	the	DET
fumecheng-2694	106	22	used	use	VERB
fumecheng-2694	106	23	materials	material	NOUN
fumecheng-2694	106	24	are	be	AUX
fumecheng-2694	106	25	given	give	VERB
fumecheng-2694	106	26	in	in	ADP
fumecheng-2694	106	27	table	table	NOUN
fumecheng-2694	106	28	1	1	NUM
fumecheng-2694	106	29	,	,	PUNCT
fumecheng-2694	106	30	where	where	SCONJ
fumecheng-2694	106	31	y	y	PROPN
fumecheng-2694	106	32	denotes	denote	VERB
fumecheng-2694	106	33	the	the	DET
fumecheng-2694	106	34	young	young	PROPN
fumecheng-2694	106	35	’s	’s	PART
fumecheng-2694	106	36	modulus	modulus	NOUN
fumecheng-2694	106	37	and	and	CCONJ
fumecheng-2694	106	38			VERB
fumecheng-2694	106	39	the	the	DET
fumecheng-2694	106	40	poisson	poisson	NOUN
fumecheng-2694	106	41	’s	’s	PART
fumecheng-2694	106	42	ratio	ratio	NOUN
fumecheng-2694	106	43	(	(	PUNCT
fumecheng-2694	106	44	with	with	ADP
fumecheng-2694	106	45	indices	index	NOUN
fumecheng-2694	106	46	referring	refer	VERB
fumecheng-2694	106	47	to	to	ADP
fumecheng-2694	106	48	the	the	DET
fumecheng-2694	106	49	material	material	NOUN
fumecheng-2694	106	50	orientation	orientation	NOUN
fumecheng-2694	106	51	)	)	PUNCT
fumecheng-2694	106	52	.	.	PUNCT
fumecheng-2694	107	1	the	the	DET
fumecheng-2694	107	2	values	value	NOUN
fumecheng-2694	107	3	in	in	ADP
fumecheng-2694	107	4	empty	empty	ADJ
fumecheng-2694	107	5	cells	cell	NOUN
fumecheng-2694	107	6	of	of	ADP
fumecheng-2694	107	7	table	table	NOUN
fumecheng-2694	107	8	1	1	NUM
fumecheng-2694	107	9	are	be	AUX
fumecheng-2694	107	10	considered	consider	VERB
fumecheng-2694	107	11	to	to	PART
fumecheng-2694	107	12	be	be	AUX
fumecheng-2694	107	13	equal	equal	ADJ
fumecheng-2694	107	14	to	to	ADP
fumecheng-2694	107	15	zero	zero	NUM
fumecheng-2694	107	16	in	in	ADP
fumecheng-2694	107	17	the	the	DET
fumecheng-2694	107	18	studied	studied	ADJ
fumecheng-2694	107	19	examples	example	NOUN
fumecheng-2694	107	20	.	.	PUNCT
fumecheng-2694	108	1	the	the	DET
fumecheng-2694	108	2	thickness	thickness	NOUN
fumecheng-2694	108	3	and	and	CCONJ
fumecheng-2694	108	4	stacking	stack	VERB
fumecheng-2694	108	5	sequence	sequence	NOUN
fumecheng-2694	108	6	of	of	ADP
fumecheng-2694	108	7	layers	layer	NOUN
fumecheng-2694	108	8	vary	vary	VERB
fumecheng-2694	108	9	in	in	ADP
fumecheng-2694	108	10	the	the	DET
fumecheng-2694	108	11	examples	example	NOUN
fumecheng-2694	108	12	and	and	CCONJ
fumecheng-2694	108	13	will	will	AUX
fumecheng-2694	108	14	be	be	AUX
fumecheng-2694	108	15	specified	specify	VERB
fumecheng-2694	108	16	for	for	ADP
fumecheng-2694	108	17	each	each	DET
fumecheng-2694	108	18	example	example	NOUN
fumecheng-2694	108	19	separately	separately	ADV
fumecheng-2694	108	20	.	.	PUNCT
fumecheng-2694	109	1	table	table	NOUN
fumecheng-2694	109	2	1	1	NUM
fumecheng-2694	109	3	layers	layer	NOUN
fumecheng-2694	109	4	material	material	NOUN
fumecheng-2694	109	5	properties	property	NOUN
fumecheng-2694	109	6	(	(	PUNCT
fumecheng-2694	109	7	given	give	VERB
fumecheng-2694	109	8	in	in	ADP
fumecheng-2694	109	9	principal	principal	ADJ
fumecheng-2694	109	10	material	material	NOUN
fumecheng-2694	109	11	directions	direction	NOUN
fumecheng-2694	109	12	)	)	PUNCT
fumecheng-2694	109	13	t300/976	t300/976	NOUN
fumecheng-2694	109	14	aluminum	aluminum	NOUN
fumecheng-2694	109	15	steel	steel	NOUN
fumecheng-2694	109	16	ptz-4	ptz-4	NOUN
fumecheng-2694	109	17	gr	gr	PROPN
fumecheng-2694	109	18	/	/	SYM
fumecheng-2694	109	19	ep	ep	PROPN
fumecheng-2694	109	20	pic	pic	NOUN
fumecheng-2694	109	21	151	151	NUM
fumecheng-2694	109	22	ptz	ptz	X
fumecheng-2694	109	23	y11	y11	NOUN
fumecheng-2694	109	24	[	[	X
fumecheng-2694	109	25	gpa	gpa	PROPN
fumecheng-2694	109	26	]	]	X
fumecheng-2694	109	27	150.0	150.0	NUM
fumecheng-2694	109	28	70.3	70.3	NUM
fumecheng-2694	109	29	210	210	NUM
fumecheng-2694	109	30	81.3	81.3	NUM
fumecheng-2694	109	31	132.28	132.28	NUM
fumecheng-2694	109	32	61.0	61.0	NUM
fumecheng-2694	109	33	63.0	63.0	NUM
fumecheng-2694	109	34	y22	y22	PROPN
fumecheng-2694	110	1	[	[	X
fumecheng-2694	110	2	gpa	gpa	PROPN
fumecheng-2694	110	3	]	]	X
fumecheng-2694	110	4	9.0	9.0	NUM
fumecheng-2694	110	5	70.3	70.3	NUM
fumecheng-2694	110	6	210	210	NUM
fumecheng-2694	110	7	81.3	81.3	NUM
fumecheng-2694	110	8	10.76	10.76	NUM
fumecheng-2694	110	9	61.0	61.0	NUM
fumecheng-2694	110	10	63.0	63.0	NUM
fumecheng-2694	110	11	y33	y33	NOUN
fumecheng-2694	111	1	[	[	X
fumecheng-2694	111	2	gpa	gpa	X
fumecheng-2694	111	3	]	]	X
fumecheng-2694	111	4	9.0	9.0	NUM
fumecheng-2694	111	5	70.3	70.3	NUM
fumecheng-2694	111	6	210	210	NUM
fumecheng-2694	111	7	64.5	64.5	NUM
fumecheng-2694	111	8	10.76	10.76	NUM
fumecheng-2694	111	9	48.4	48.4	NUM
fumecheng-2694	111	10	63.0	63.0	NUM
fumecheng-2694	111	11	υ12	υ12	ADJ
fumecheng-2694	112	1	[	[	X
fumecheng-2694	112	2	-	-	X
fumecheng-2694	112	3	]	]	X
fumecheng-2694	112	4	0.3	0.3	NUM
fumecheng-2694	112	5	0.345	0.345	NUM
fumecheng-2694	112	6	0.3	0.3	NUM
fumecheng-2694	112	7	0.33	0.33	NUM
fumecheng-2694	112	8	0.24	0.24	NUM
fumecheng-2694	112	9	0.3	0.3	NUM
fumecheng-2694	112	10	υ13	υ13	NOUN
fumecheng-2694	113	1	[	[	X
fumecheng-2694	113	2	-	-	X
fumecheng-2694	113	3	]	]	X
fumecheng-2694	113	4	0.3	0.3	NUM
fumecheng-2694	113	5	0.345	0.345	NUM
fumecheng-2694	113	6	0.3	0.3	NUM
fumecheng-2694	113	7	0.43	0.43	NUM
fumecheng-2694	113	8	0.24	0.24	NUM
fumecheng-2694	113	9	0.3	0.3	NUM
fumecheng-2694	113	10	υ23	υ23	NOUN
fumecheng-2694	113	11	[	[	X
fumecheng-2694	113	12	-	-	X
fumecheng-2694	113	13	]	]	X
fumecheng-2694	113	14	0.3	0.3	NUM
fumecheng-2694	113	15	0.345	0.345	NUM
fumecheng-2694	113	16	0.3	0.3	NUM
fumecheng-2694	113	17	0.43	0.43	NUM
fumecheng-2694	113	18	0.49	0.49	NUM
fumecheng-2694	113	19	0.3	0.3	NUM
fumecheng-2694	113	20	density	density	NOUN
fumecheng-2694	113	21	[	[	X
fumecheng-2694	113	22	kg	kg	X
fumecheng-2694	113	23	/	/	SYM
fumecheng-2694	113	24	m³	m³	ADJ
fumecheng-2694	113	25	]	]	PUNCT
fumecheng-2694	113	26	1600	1600	NUM
fumecheng-2694	113	27	2690	2690	NUM
fumecheng-2694	113	28	7800	7800	NUM
fumecheng-2694	113	29	7600	7600	NUM
fumecheng-2694	113	30	1578	1578	NUM
fumecheng-2694	113	31	7760	7760	NUM
fumecheng-2694	113	32	7600	7600	NUM
fumecheng-2694	113	33	piezoelectric	piezoelectric	NOUN
fumecheng-2694	113	34	constants	constant	NOUN
fumecheng-2694	113	35	e31	e31	NOUN
fumecheng-2694	113	36	=	=	SYM
fumecheng-2694	113	37	e32	e32	NOUN
fumecheng-2694	114	1	[	[	X
fumecheng-2694	114	2	cm-2	cm-2	X
fumecheng-2694	114	3	]	]	X
fumecheng-2694	114	4	-14.8	-14.8	PUNCT
fumecheng-2694	114	5	9.6	9.6	NUM
fumecheng-2694	114	6	-22.87	-22.87	PRON
fumecheng-2694	114	7	dielectric	dielectric	ADJ
fumecheng-2694	114	8	constant	constant	ADJ
fumecheng-2694	114	9	[	[	X
fumecheng-2694	114	10	f	f	X
fumecheng-2694	114	11	m-1	m-1	X
fumecheng-2694	114	12	]	]	X
fumecheng-2694	114	13	d31	d31	NOUN
fumecheng-2694	114	14	(	(	PUNCT
fumecheng-2694	114	15	×	×	PROPN
fumecheng-2694	114	16	10	10	NUM
fumecheng-2694	114	17	-	-	SYM
fumecheng-2694	114	18	8)	8)	NUM
fumecheng-2694	114	19	1.1505	1.1505	NUM
fumecheng-2694	114	20	1.710	1.710	NUM
fumecheng-2694	114	21	1.5	1.5	NUM
fumecheng-2694	114	22	the	the	DET
fumecheng-2694	114	23	examples	example	NOUN
fumecheng-2694	114	24	include	include	VERB
fumecheng-2694	114	25	both	both	CCONJ
fumecheng-2694	114	26	actuator	actuator	NOUN
fumecheng-2694	114	27	and	and	CCONJ
fumecheng-2694	114	28	sensor	sensor	NOUN
fumecheng-2694	114	29	cases	case	NOUN
fumecheng-2694	114	30	.	.	PUNCT
fumecheng-2694	115	1	in	in	ADP
fumecheng-2694	115	2	the	the	DET
fumecheng-2694	115	3	actuator	actuator	NOUN
fumecheng-2694	115	4	case	case	NOUN
fumecheng-2694	115	5	the	the	DET
fumecheng-2694	115	6	piezopatches	piezopatche	NOUN
fumecheng-2694	115	7	are	be	AUX
fumecheng-2694	115	8	subjected	subject	VERB
fumecheng-2694	115	9	to	to	ADP
fumecheng-2694	115	10	a	a	DET
fumecheng-2694	115	11	predefined	predefine	VERB
fumecheng-2694	115	12	electric	electric	ADJ
fumecheng-2694	115	13	voltage	voltage	NOUN
fumecheng-2694	115	14	,	,	PUNCT
fumecheng-2694	115	15	thus	thus	ADV
fumecheng-2694	115	16	causing	cause	VERB
fumecheng-2694	115	17	mechanical	mechanical	ADJ
fumecheng-2694	115	18	excitation	excitation	NOUN
fumecheng-2694	115	19	due	due	ADP
fumecheng-2694	115	20	to	to	ADP
fumecheng-2694	115	21	the	the	DET
fumecheng-2694	115	22	inverse	inverse	ADJ
fumecheng-2694	115	23	piezoelectric	piezoelectric	NOUN
fumecheng-2694	115	24	effect	effect	NOUN
fumecheng-2694	115	25	.	.	PUNCT
fumecheng-2694	116	1	in	in	ADP
fumecheng-2694	116	2	the	the	DET
fumecheng-2694	116	3	linear	linear	ADJ
fumecheng-2694	116	4	analysis	analysis	NOUN
fumecheng-2694	116	5	the	the	DET
fumecheng-2694	116	6	computation	computation	NOUN
fumecheng-2694	116	7	of	of	ADP
fumecheng-2694	116	8	induced	induced	ADJ
fumecheng-2694	116	9	mechanical	mechanical	ADJ
fumecheng-2694	116	10	loads	load	NOUN
fumecheng-2694	116	11	t	t	PROPN
fumecheng-2694	116	12	{	{	PUNCT
fumecheng-2694	116	13	f,e	f,e	PROPN
fumecheng-2694	116	14	}	}	PUNCT
fumecheng-2694	116	15	is	be	AUX
fumecheng-2694	116	16	performed	perform	VERB
fumecheng-2694	116	17	on	on	ADP
fumecheng-2694	116	18	the	the	DET
fumecheng-2694	116	19	element	element	ADJ
fumecheng-2694	116	20	level	level	NOUN
fumecheng-2694	116	21	as	as	SCONJ
fumecheng-2694	116	22	follows	follow	VERB
fumecheng-2694	116	23	:	:	PUNCT
fumecheng-2694	116	24	t	t	PROPN
fumecheng-2694	116	25	t	t	PROPN
fumecheng-2694	116	26	,	,	PUNCT
fumecheng-2694	116	27	e	e	NOUN
fumecheng-2694	116	28	u	u	PROPN
fumecheng-2694	116	29	,	,	PUNCT
fumecheng-2694	116	30	e	e	PROPN
fumecheng-2694	116	31	a	a	X
fumecheng-2694	116	32	,	,	PUNCT
fumecheng-2694	116	33	e{f	e{f	X
fumecheng-2694	116	34	}	}	PUNCT
fumecheng-2694	117	1	[	[	X
fumecheng-2694	117	2	k	k	X
fumecheng-2694	117	3	]	]	X
fumecheng-2694	117	4	{	{	PUNCT
fumecheng-2694	117	5	}	}	PUNCT
fumecheng-2694	117	6			NOUN
fumecheng-2694	117	7			ADJ
fumecheng-2694	117	8			NOUN
fumecheng-2694	117	9	(	(	PUNCT
fumecheng-2694	117	10	4	4	NUM
fumecheng-2694	117	11	)	)	PUNCT
fumecheng-2694	117	12	where	where	SCONJ
fumecheng-2694	117	13	the	the	DET
fumecheng-2694	117	14	matrices	matrix	NOUN
fumecheng-2694	117	15	and	and	CCONJ
fumecheng-2694	117	16	vectors	vector	NOUN
fumecheng-2694	117	17	are	be	AUX
fumecheng-2694	117	18	defined	define	VERB
fumecheng-2694	117	19	on	on	ADP
fumecheng-2694	117	20	the	the	DET
fumecheng-2694	117	21	element	element	ADJ
fumecheng-2694	117	22	level	level	NOUN
fumecheng-2694	117	23	.	.	PUNCT
fumecheng-2694	118	1	in	in	ADP
fumecheng-2694	118	2	the	the	DET
fumecheng-2694	118	3	nonlinear	nonlinear	ADJ
fumecheng-2694	118	4	analysis	analysis	NOUN
fumecheng-2694	118	5	the	the	DET
fumecheng-2694	118	6	system	system	NOUN
fumecheng-2694	118	7	matrices	matrix	NOUN
fumecheng-2694	118	8	,	,	PUNCT
fumecheng-2694	118	9	including	include	VERB
fumecheng-2694	118	10	the	the	DET
fumecheng-2694	118	11	piezoelectric	piezoelectric	ADJ
fumecheng-2694	118	12	coupling	coupling	NOUN
fumecheng-2694	118	13	terms	term	NOUN
fumecheng-2694	118	14	,	,	PUNCT
fumecheng-2694	118	15	have	have	VERB
fumecheng-2694	118	16	to	to	PART
fumecheng-2694	118	17	be	be	AUX
fumecheng-2694	118	18	updated	update	VERB
fumecheng-2694	118	19	first	first	ADV
fumecheng-2694	118	20	.	.	PUNCT
fumecheng-2694	119	1	in	in	ADP
fumecheng-2694	119	2	the	the	DET
fumecheng-2694	119	3	framework	framework	NOUN
fumecheng-2694	119	4	of	of	ADP
fumecheng-2694	119	5	the	the	DET
fumecheng-2694	119	6	cr	cr	NOUN
fumecheng-2694	119	7	-	-	PUNCT
fumecheng-2694	119	8	formulation	formulation	NOUN
fumecheng-2694	119	9	,	,	PUNCT
fumecheng-2694	119	10	the	the	DET
fumecheng-2694	119	11	element	element	NOUN
fumecheng-2694	119	12	piezoelectric	piezoelectric	NOUN
fumecheng-2694	119	13	coupling	coupling	NOUN
fumecheng-2694	119	14	matrix	matrix	NOUN
fumecheng-2694	119	15	is	be	AUX
fumecheng-2694	119	16	updated	update	VERB
fumecheng-2694	119	17	using	use	VERB
fumecheng-2694	119	18	element	element	NOUN
fumecheng-2694	119	19	rotation	rotation	NOUN
fumecheng-2694	119	20	matrix	matrix	NOUN
fumecheng-2694	119	21	t	t	X
fumecheng-2694	120	1	[	[	X
fumecheng-2694	120	2	re	re	NOUN
fumecheng-2694	120	3	]	]	X
fumecheng-2694	120	4	:	:	PUNCT
fumecheng-2694	120	5	t	t	PROPN
fumecheng-2694	120	6	t	t	PROPN
fumecheng-2694	120	7	0	0	NUM
fumecheng-2694	120	8	u	u	PROPN
fumecheng-2694	120	9	,	,	PUNCT
fumecheng-2694	120	10	e	e	PROPN
fumecheng-2694	120	11	e	e	NOUN
fumecheng-2694	120	12	u	u	PROPN
fumecheng-2694	120	13	,	,	PUNCT
fumecheng-2694	120	14	e[k	e[k	X
fumecheng-2694	120	15	]	]	PUNCT
fumecheng-2694	121	1	[	[	X
fumecheng-2694	121	2	r	r	X
fumecheng-2694	121	3	]	]	PUNCT
fumecheng-2694	122	1	[	[	X
fumecheng-2694	122	2	k	k	X
fumecheng-2694	122	3	]	]	X
fumecheng-2694	122	4			NOUN
fumecheng-2694	122	5			X
fumecheng-2694	122	6	(	(	PUNCT
fumecheng-2694	122	7	5	5	NUM
fumecheng-2694	122	8	)	)	PUNCT
fumecheng-2694	122	9	in	in	ADP
fumecheng-2694	122	10	the	the	DET
fumecheng-2694	122	11	sensor	sensor	NOUN
fumecheng-2694	122	12	case	case	NOUN
fumecheng-2694	122	13	,	,	PUNCT
fumecheng-2694	122	14	the	the	DET
fumecheng-2694	122	15	direct	direct	ADJ
fumecheng-2694	122	16	piezoelectric	piezoelectric	NOUN
fumecheng-2694	122	17	effect	effect	NOUN
fumecheng-2694	122	18	is	be	AUX
fumecheng-2694	122	19	used	use	VERB
fumecheng-2694	122	20	to	to	PART
fumecheng-2694	122	21	induce	induce	VERB
fumecheng-2694	122	22	electric	electric	ADJ
fumecheng-2694	122	23	voltage	voltage	NOUN
fumecheng-2694	122	24	t	t	PROPN
fumecheng-2694	122	25	{	{	PUNCT
fumecheng-2694	122	26	s	s	PROPN
fumecheng-2694	122	27	,	,	PUNCT
fumecheng-2694	122	28	e	e	NOUN
fumecheng-2694	122	29	}	}	PUNCT
fumecheng-2694	122	30	(	(	PUNCT
fumecheng-2694	122	31	again	again	ADV
fumecheng-2694	122	32	,	,	PUNCT
fumecheng-2694	122	33	computed	compute	VERB
fumecheng-2694	122	34	on	on	ADP
fumecheng-2694	122	35	the	the	DET
fumecheng-2694	122	36	element	element	ADJ
fumecheng-2694	122	37	level	level	NOUN
fumecheng-2694	122	38	)	)	PUNCT
fumecheng-2694	122	39	due	due	ADP
fumecheng-2694	122	40	to	to	ADP
fumecheng-2694	122	41	the	the	DET
fumecheng-2694	122	42	external	external	ADJ
fumecheng-2694	122	43	mechanical	mechanical	ADJ
fumecheng-2694	122	44	loads	load	NOUN
fumecheng-2694	122	45	,	,	PUNCT
fumecheng-2694	122	46	whereby	whereby	SCONJ
fumecheng-2694	122	47	the	the	DET
fumecheng-2694	122	48	external	external	ADJ
fumecheng-2694	122	49	electric	electric	ADJ
fumecheng-2694	122	50	charges	charge	NOUN
fumecheng-2694	122	51	are	be	AUX
fumecheng-2694	122	52	equal	equal	ADJ
fumecheng-2694	122	53	to	to	ADP
fumecheng-2694	122	54	zero	zero	NUM
fumecheng-2694	122	55	:	:	PUNCT
fumecheng-2694	122	56	t	t	PROPN
fumecheng-2694	122	57	1	1	NUM
fumecheng-2694	122	58	t	t	PROPN
fumecheng-2694	122	59	s	s	PROPN
fumecheng-2694	122	60	,	,	PUNCT
fumecheng-2694	122	61	e	e	NOUN
fumecheng-2694	122	62	,	,	PUNCT
fumecheng-2694	122	63	e	e	X
fumecheng-2694	122	64	u	u	PROPN
fumecheng-2694	122	65	,	,	PUNCT
fumecheng-2694	122	66	e	e	PROPN
fumecheng-2694	122	67	e	e	NOUN
fumecheng-2694	122	68	{	{	PUNCT
fumecheng-2694	122	69	}	}	PUNCT
fumecheng-2694	123	1	[	[	X
fumecheng-2694	123	2	k	k	X
fumecheng-2694	123	3	]	]	X
fumecheng-2694	124	1	[	[	X
fumecheng-2694	124	2	k	k	X
fumecheng-2694	124	3	]	]	X
fumecheng-2694	124	4	{	{	PUNCT
fumecheng-2694	124	5	u	u	NOUN
fumecheng-2694	124	6	}	}	PUNCT
fumecheng-2694	124	7			NOUN
fumecheng-2694	124	8			NUM
fumecheng-2694	124	9			PROPN
fumecheng-2694	124	10			PROPN
fumecheng-2694	124	11			NOUN
fumecheng-2694	124	12	(	(	PUNCT
fumecheng-2694	124	13	6	6	NUM
fumecheng-2694	124	14	)	)	PUNCT
fumecheng-2694	124	15	where	where	SCONJ
fumecheng-2694	124	16	,	,	PUNCT
fumecheng-2694	124	17	again	again	ADV
fumecheng-2694	124	18	,	,	PUNCT
fumecheng-2694	124	19	all	all	DET
fumecheng-2694	124	20	the	the	DET
fumecheng-2694	124	21	vectors	vector	NOUN
fumecheng-2694	124	22	and	and	CCONJ
fumecheng-2694	124	23	matrices	matrix	NOUN
fumecheng-2694	124	24	are	be	AUX
fumecheng-2694	124	25	defined	define	VERB
fumecheng-2694	124	26	on	on	ADP
fumecheng-2694	124	27	the	the	DET
fumecheng-2694	124	28	element	element	ADJ
fumecheng-2694	124	29	level	level	NOUN
fumecheng-2694	124	30	(	(	PUNCT
fumecheng-2694	124	31	index	index	NOUN
fumecheng-2694	124	32	‘	'	PUNCT
fumecheng-2694	124	33	e	e	NOUN
fumecheng-2694	124	34	’	'	PUNCT
fumecheng-2694	124	35	)	)	PUNCT
fumecheng-2694	124	36	.	.	PUNCT
fumecheng-2694	125	1	in	in	ADP
fumecheng-2694	125	2	the	the	DET
fumecheng-2694	125	3	linear	linear	ADJ
fumecheng-2694	125	4	analysis	analysis	NOUN
fumecheng-2694	125	5	the	the	DET
fumecheng-2694	125	6	above	above	ADJ
fumecheng-2694	125	7	equation	equation	NOUN
fumecheng-2694	125	8	is	be	AUX
fumecheng-2694	125	9	used	use	VERB
fumecheng-2694	125	10	directly	directly	ADV
fumecheng-2694	125	11	,	,	PUNCT
fumecheng-2694	125	12	whereas	whereas	SCONJ
fumecheng-2694	125	13	in	in	ADP
fumecheng-2694	125	14	the	the	DET
fumecheng-2694	125	15	geometrically	geometrically	ADV
fumecheng-2694	125	16	nonlinear	nonlinear	ADJ
fumecheng-2694	125	17	analysis	analysis	NOUN
fumecheng-2694	125	18	the	the	DET
fumecheng-2694	125	19	rotation	rotation	NOUN
fumecheng-2694	125	20	-	-	PUNCT
fumecheng-2694	125	21	free	free	ADJ
fumecheng-2694	125	22	(	(	PUNCT
fumecheng-2694	125	23	i.e.	i.e.	X
fumecheng-2694	125	24	purely	purely	ADV
fumecheng-2694	125	25	deformational	deformational	ADJ
fumecheng-2694	125	26	)	)	PUNCT
fumecheng-2694	125	27	displacements	displacement	NOUN
fumecheng-2694	125	28	are	be	AUX
fumecheng-2694	125	29	computed	compute	VERB
fumecheng-2694	125	30	first	first	ADV
fumecheng-2694	125	31	.	.	PUNCT
fumecheng-2694	126	1	as	as	SCONJ
fumecheng-2694	126	2	a	a	DET
fumecheng-2694	126	3	sensor	sensor	NOUN
fumecheng-2694	126	4	patch	patch	NOUN
fumecheng-2694	126	5	/	/	SYM
fumecheng-2694	126	6	layer	layer	NOUN
fumecheng-2694	126	7	is	be	AUX
fumecheng-2694	126	8	discretized	discretize	VERB
fumecheng-2694	126	9	by	by	ADP
fumecheng-2694	126	10	a	a	DET
fumecheng-2694	126	11	number	number	NOUN
fumecheng-2694	126	12	of	of	ADP
fumecheng-2694	126	13	finite	finite	ADJ
fumecheng-2694	126	14	elements	element	NOUN
fumecheng-2694	126	15	,	,	PUNCT
fumecheng-2694	126	16	a	a	DET
fumecheng-2694	126	17	constraint	constraint	NOUN
fumecheng-2694	126	18	is	be	AUX
fumecheng-2694	126	19	introduced	introduce	VERB
fumecheng-2694	126	20	that	that	SCONJ
fumecheng-2694	126	21	the	the	DET
fumecheng-2694	126	22	induced	induce	VERB
fumecheng-2694	126	23	electric	electric	ADJ
fumecheng-2694	126	24	voltages	voltage	NOUN
fumecheng-2694	126	25	in	in	ADP
fumecheng-2694	126	26	the	the	DET
fumecheng-2694	126	27	sensor	sensor	NOUN
fumecheng-2694	126	28	layer	layer	NOUN
fumecheng-2694	126	29	are	be	AUX
fumecheng-2694	126	30	equal	equal	ADJ
fumecheng-2694	126	31	in	in	ADP
fumecheng-2694	126	32	all	all	DET
fumecheng-2694	126	33	those	those	DET
fumecheng-2694	126	34	elements	element	NOUN
fumecheng-2694	126	35	.	.	PUNCT
fumecheng-2694	127	1	in	in	ADP
fumecheng-2694	127	2	this	this	DET
fumecheng-2694	127	3	manner	manner	NOUN
fumecheng-2694	127	4	,	,	PUNCT
fumecheng-2694	127	5	the	the	DET
fumecheng-2694	127	6	obtained	obtain	VERB
fumecheng-2694	127	7	sensor	sensor	NOUN
fumecheng-2694	127	8	voltage	voltage	NOUN
fumecheng-2694	127	9	reflects	reflect	VERB
fumecheng-2694	127	10	the	the	DET
fumecheng-2694	127	11	average	average	ADJ
fumecheng-2694	127	12	value	value	NOUN
fumecheng-2694	127	13	of	of	ADP
fumecheng-2694	127	14	the	the	DET
fumecheng-2694	127	15	in	in	ADP
fumecheng-2694	127	16	-	-	PUNCT
fumecheng-2694	127	17	plane	plane	NOUN
fumecheng-2694	127	18	strains	strain	NOUN
fumecheng-2694	127	19	caused	cause	VERB
fumecheng-2694	127	20	in	in	ADP
fumecheng-2694	127	21	the	the	DET
fumecheng-2694	127	22	sensor	sensor	NOUN
fumecheng-2694	127	23	layer	layer	NOUN
fumecheng-2694	127	24	by	by	ADP
fumecheng-2694	127	25	the	the	DET
fumecheng-2694	127	26	action	action	NOUN
fumecheng-2694	127	27	of	of	ADP
fumecheng-2694	127	28	external	external	ADJ
fumecheng-2694	127	29	mechanical	mechanical	ADJ
fumecheng-2694	127	30	loads	load	NOUN
fumecheng-2694	127	31	.	.	PUNCT
fumecheng-2694	128	1	36	36	NUM
fumecheng-2694	128	2	g.	g.	PROPN
fumecheng-2694	128	3	rama	rama	PROPN
fumecheng-2694	128	4	4.1	4.1	NUM
fumecheng-2694	128	5	.	.	PUNCT
fumecheng-2694	128	6	modal	modal	ADJ
fumecheng-2694	128	7	analysis	analysis	NOUN
fumecheng-2694	128	8	of	of	ADP
fumecheng-2694	128	9	a	a	DET
fumecheng-2694	128	10	simply	simply	ADV
fumecheng-2694	128	11	supported	support	VERB
fumecheng-2694	128	12	piezoelectric	piezoelectric	ADJ
fumecheng-2694	128	13	plate	plate	NOUN
fumecheng-2694	128	14	in	in	ADP
fumecheng-2694	128	15	the	the	DET
fumecheng-2694	128	16	first	first	ADJ
fumecheng-2694	128	17	case	case	NOUN
fumecheng-2694	128	18	a	a	DET
fumecheng-2694	128	19	modal	modal	ADJ
fumecheng-2694	128	20	analysis	analysis	NOUN
fumecheng-2694	128	21	of	of	ADP
fumecheng-2694	128	22	a	a	DET
fumecheng-2694	128	23	composite	composite	ADJ
fumecheng-2694	128	24	piezoelectric	piezoelectric	NOUN
fumecheng-2694	128	25	plate	plate	NOUN
fumecheng-2694	128	26	is	be	AUX
fumecheng-2694	128	27	performed	perform	VERB
fumecheng-2694	128	28	.	.	PUNCT
fumecheng-2694	129	1	in	in	ADP
fumecheng-2694	129	2	order	order	NOUN
fumecheng-2694	129	3	to	to	PART
fumecheng-2694	129	4	verify	verify	VERB
fumecheng-2694	129	5	the	the	DET
fumecheng-2694	129	6	cs	cs	ADJ
fumecheng-2694	129	7	-	-	ADJ
fumecheng-2694	129	8	dsg3	dsg3	ADJ
fumecheng-2694	129	9	formulation	formulation	NOUN
fumecheng-2694	129	10	and	and	CCONJ
fumecheng-2694	129	11	to	to	PART
fumecheng-2694	129	12	illustrate	illustrate	VERB
fumecheng-2694	129	13	the	the	DET
fumecheng-2694	129	14	influence	influence	NOUN
fumecheng-2694	129	15	of	of	ADP
fumecheng-2694	129	16	the	the	DET
fumecheng-2694	129	17	electromechanical	electromechanical	ADJ
fumecheng-2694	129	18	coupling	coupling	NOUN
fumecheng-2694	129	19	on	on	ADP
fumecheng-2694	129	20	the	the	DET
fumecheng-2694	129	21	dynamic	dynamic	ADJ
fumecheng-2694	129	22	properties	property	NOUN
fumecheng-2694	129	23	two	two	NUM
fumecheng-2694	129	24	cases	case	NOUN
fumecheng-2694	129	25	with	with	ADP
fumecheng-2694	129	26	different	different	ADJ
fumecheng-2694	129	27	electric	electric	ADJ
fumecheng-2694	129	28	boundary	boundary	ADJ
fumecheng-2694	129	29	conditions	condition	NOUN
fumecheng-2694	129	30	are	be	AUX
fumecheng-2694	129	31	investigated	investigate	VERB
fumecheng-2694	129	32	.	.	PUNCT
fumecheng-2694	130	1	in	in	ADP
fumecheng-2694	130	2	the	the	DET
fumecheng-2694	130	3	first	first	ADJ
fumecheng-2694	130	4	one	one	NUM
fumecheng-2694	130	5	,	,	PUNCT
fumecheng-2694	130	6	the	the	DET
fumecheng-2694	130	7	electrodes	electrode	NOUN
fumecheng-2694	130	8	of	of	ADP
fumecheng-2694	130	9	the	the	DET
fumecheng-2694	130	10	piezolayers	piezolayer	NOUN
fumecheng-2694	130	11	are	be	AUX
fumecheng-2694	130	12	shortcircuited	shortcircuite	VERB
fumecheng-2694	130	13	(	(	PUNCT
fumecheng-2694	130	14	sc	sc	PROPN
fumecheng-2694	130	15	)	)	PUNCT
fumecheng-2694	130	16	.	.	PUNCT
fumecheng-2694	131	1	hence	hence	ADV
fumecheng-2694	131	2	,	,	PUNCT
fumecheng-2694	131	3	the	the	DET
fumecheng-2694	131	4	electric	electric	ADJ
fumecheng-2694	131	5	potential	potential	ADJ
fumecheng-2694	131	6	{	{	PUNCT
fumecheng-2694	131	7			NOUN
fumecheng-2694	131	8	}	}	PUNCT
fumecheng-2694	131	9	is	be	AUX
fumecheng-2694	131	10	equal	equal	ADJ
fumecheng-2694	131	11	to	to	ADP
fumecheng-2694	131	12	zero	zero	NUM
fumecheng-2694	131	13	.	.	PUNCT
fumecheng-2694	132	1	this	this	PRON
fumecheng-2694	132	2	leads	lead	VERB
fumecheng-2694	132	3	to	to	ADP
fumecheng-2694	132	4	the	the	DET
fumecheng-2694	132	5	purely	purely	ADV
fumecheng-2694	132	6	mechanical	mechanical	ADJ
fumecheng-2694	132	7	eigenvalue	eigenvalue	NOUN
fumecheng-2694	132	8	problem	problem	NOUN
fumecheng-2694	132	9	,	,	PUNCT
fumecheng-2694	132	10	i.e.	i.e.	X
fumecheng-2694	132	11	the	the	DET
fumecheng-2694	132	12	natural	natural	ADJ
fumecheng-2694	132	13	frequencies	frequency	NOUN
fumecheng-2694	132	14	and	and	CCONJ
fumecheng-2694	132	15	modes	mode	NOUN
fumecheng-2694	132	16	are	be	AUX
fumecheng-2694	132	17	the	the	DET
fumecheng-2694	132	18	same	same	ADJ
fumecheng-2694	132	19	as	as	SCONJ
fumecheng-2694	132	20	if	if	SCONJ
fumecheng-2694	132	21	only	only	ADV
fumecheng-2694	132	22	purely	purely	ADV
fumecheng-2694	132	23	mechanical	mechanical	ADJ
fumecheng-2694	132	24	field	field	NOUN
fumecheng-2694	132	25	was	be	AUX
fumecheng-2694	132	26	considered	consider	VERB
fumecheng-2694	132	27	.	.	PUNCT
fumecheng-2694	133	1	in	in	ADP
fumecheng-2694	133	2	the	the	DET
fumecheng-2694	133	3	second	second	ADJ
fumecheng-2694	133	4	case	case	NOUN
fumecheng-2694	133	5	,	,	PUNCT
fumecheng-2694	133	6	the	the	DET
fumecheng-2694	133	7	electrodes	electrode	NOUN
fumecheng-2694	133	8	are	be	AUX
fumecheng-2694	133	9	assumed	assume	VERB
fumecheng-2694	133	10	to	to	PART
fumecheng-2694	133	11	be	be	AUX
fumecheng-2694	133	12	open	open	ADJ
fumecheng-2694	133	13	(	(	PUNCT
fumecheng-2694	133	14	o	o	NOUN
fumecheng-2694	133	15	)	)	PUNCT
fumecheng-2694	133	16	which	which	PRON
fumecheng-2694	133	17	implies	imply	VERB
fumecheng-2694	133	18	zero	zero	NUM
fumecheng-2694	133	19	electric	electric	ADJ
fumecheng-2694	133	20	charge	charge	NOUN
fumecheng-2694	133	21	as	as	ADP
fumecheng-2694	133	22	a	a	DET
fumecheng-2694	133	23	boundary	boundary	ADJ
fumecheng-2694	133	24	condition	condition	NOUN
fumecheng-2694	133	25	.	.	PUNCT
fumecheng-2694	134	1	from	from	ADP
fumecheng-2694	134	2	eq	eq	ADP
fumecheng-2694	134	3	.	.	PUNCT
fumecheng-2694	135	1	(	(	PUNCT
fumecheng-2694	135	2	2	2	X
fumecheng-2694	135	3	)	)	PUNCT
fumecheng-2694	135	4	follows	follow	VERB
fumecheng-2694	135	5	:	:	PUNCT
fumecheng-2694	135	6	1	1	NUM
fumecheng-2694	135	7	s	s	NOUN
fumecheng-2694	135	8	u	u	NOUN
fumecheng-2694	135	9	{	{	PUNCT
fumecheng-2694	135	10	}	}	PUNCT
fumecheng-2694	136	1	[	[	X
fumecheng-2694	136	2	k	k	X
fumecheng-2694	136	3	]	]	X
fumecheng-2694	137	1	[	[	X
fumecheng-2694	137	2	k	k	X
fumecheng-2694	137	3	]	]	X
fumecheng-2694	137	4	{	{	PUNCT
fumecheng-2694	137	5	u}	u}	X
fumecheng-2694	137	6			X
fumecheng-2694	137	7			PROPN
fumecheng-2694	137	8			PROPN
fumecheng-2694	137	9			PROPN
fumecheng-2694	137	10	(	(	PUNCT
fumecheng-2694	137	11	7	7	NUM
fumecheng-2694	137	12	)	)	PUNCT
fumecheng-2694	137	13	hence	hence	ADV
fumecheng-2694	137	14	,	,	PUNCT
fumecheng-2694	137	15	an	an	DET
fumecheng-2694	137	16	electric	electric	ADJ
fumecheng-2694	137	17	potential	potential	ADJ
fumecheng-2694	137	18	difference	difference	NOUN
fumecheng-2694	137	19	is	be	AUX
fumecheng-2694	137	20	generated	generate	VERB
fumecheng-2694	137	21	in	in	ADP
fumecheng-2694	137	22	the	the	DET
fumecheng-2694	137	23	sensor	sensor	NOUN
fumecheng-2694	137	24	layer	layer	NOUN
fumecheng-2694	137	25	if	if	SCONJ
fumecheng-2694	137	26	the	the	DET
fumecheng-2694	137	27	shell	shell	NOUN
fumecheng-2694	137	28	is	be	AUX
fumecheng-2694	137	29	deformed	deform	VERB
fumecheng-2694	137	30	.	.	PUNCT
fumecheng-2694	138	1	due	due	ADP
fumecheng-2694	138	2	to	to	ADP
fumecheng-2694	138	3	the	the	DET
fumecheng-2694	138	4	open	open	ADJ
fumecheng-2694	138	5	electrodes	electrode	NOUN
fumecheng-2694	138	6	,	,	PUNCT
fumecheng-2694	138	7	the	the	DET
fumecheng-2694	138	8	electric	electric	ADJ
fumecheng-2694	138	9	voltage	voltage	NOUN
fumecheng-2694	138	10	induces	induce	VERB
fumecheng-2694	138	11	mechanical	mechanical	ADJ
fumecheng-2694	138	12	stresses	stress	NOUN
fumecheng-2694	138	13	through	through	ADP
fumecheng-2694	138	14	an	an	DET
fumecheng-2694	138	15	inverse	inverse	ADJ
fumecheng-2694	138	16	piezoelectric	piezoelectric	NOUN
fumecheng-2694	138	17	effect	effect	NOUN
fumecheng-2694	138	18	.	.	PUNCT
fumecheng-2694	139	1	in	in	ADP
fumecheng-2694	139	2	the	the	DET
fumecheng-2694	139	3	modal	modal	ADJ
fumecheng-2694	139	4	analysis	analysis	NOUN
fumecheng-2694	139	5	these	these	DET
fumecheng-2694	139	6	stresses	stress	NOUN
fumecheng-2694	139	7	are	be	AUX
fumecheng-2694	139	8	taken	take	VERB
fumecheng-2694	139	9	into	into	ADP
fumecheng-2694	139	10	account	account	NOUN
fumecheng-2694	139	11	by	by	ADP
fumecheng-2694	139	12	a	a	DET
fumecheng-2694	139	13	modified	modify	VERB
fumecheng-2694	139	14	stiffness	stiffness	NOUN
fumecheng-2694	139	15	matrix	matrix	NOUN
fumecheng-2694	139	16	obtained	obtain	VERB
fumecheng-2694	139	17	by	by	ADP
fumecheng-2694	139	18	substituting	substitute	VERB
fumecheng-2694	139	19	{	{	PUNCT
fumecheng-2694	139	20	s	s	NUM
fumecheng-2694	139	21	}	}	PUNCT
fumecheng-2694	139	22	into	into	ADP
fumecheng-2694	139	23	eq	eq	NOUN
fumecheng-2694	139	24	.	.	PUNCT
fumecheng-2694	140	1	(	(	PUNCT
fumecheng-2694	140	2	2	2	NUM
fumecheng-2694	140	3	):	):	PUNCT
fumecheng-2694	140	4	*	*	NOUN
fumecheng-2694	140	5	1	1	NUM
fumecheng-2694	140	6	uu	uu	INTJ
fumecheng-2694	140	7	u	u	NOUN
fumecheng-2694	140	8	u[k	u[k	X
fumecheng-2694	140	9	]	]	PUNCT
fumecheng-2694	141	1	[	[	X
fumecheng-2694	141	2	k	k	X
fumecheng-2694	141	3	]	]	X
fumecheng-2694	142	1	[	[	X
fumecheng-2694	142	2	k	k	X
fumecheng-2694	142	3	]	]	X
fumecheng-2694	143	1	[	[	X
fumecheng-2694	143	2	k	k	X
fumecheng-2694	143	3	]	]	X
fumecheng-2694	144	1	[	[	X
fumecheng-2694	144	2	k	k	X
fumecheng-2694	144	3	]	]	X
fumecheng-2694	144	4			NOUN
fumecheng-2694	144	5			NOUN
fumecheng-2694	144	6			X
fumecheng-2694	144	7			ADJ
fumecheng-2694	144	8			X
fumecheng-2694	144	9	(	(	PUNCT
fumecheng-2694	144	10	8)	8)	NUM
fumecheng-2694	144	11	the	the	DET
fumecheng-2694	144	12	electro	electro	ADJ
fumecheng-2694	144	13	-	-	PUNCT
fumecheng-2694	144	14	mechanical	mechanical	ADJ
fumecheng-2694	144	15	coupled	couple	VERB
fumecheng-2694	144	16	eigenvalue	eigenvalue	PROPN
fumecheng-2694	144	17	problem	problem	NOUN
fumecheng-2694	144	18	reads	read	VERB
fumecheng-2694	144	19	then	then	ADV
fumecheng-2694	144	20	:	:	PUNCT
fumecheng-2694	144	21	*	*	PUNCT
fumecheng-2694	144	22	uu[k	uu[k	X
fumecheng-2694	144	23	]	]	PUNCT
fumecheng-2694	144	24	²[m	²[m	ADJ
fumecheng-2694	144	25	]	]	PUNCT
fumecheng-2694	144	26	{	{	PUNCT
fumecheng-2694	144	27	u	u	NOUN
fumecheng-2694	144	28	}	}	PUNCT
fumecheng-2694	144	29	0	0	NUM
fumecheng-2694	144	30			SCONJ
fumecheng-2694	144	31			PROPN
fumecheng-2694	144	32			PROPN
fumecheng-2694	144	33	(	(	PUNCT
fumecheng-2694	144	34	9	9	X
fumecheng-2694	144	35	)	)	PUNCT
fumecheng-2694	144	36	it	it	PRON
fumecheng-2694	144	37	is	be	AUX
fumecheng-2694	144	38	obvious	obvious	ADJ
fumecheng-2694	144	39	that	that	SCONJ
fumecheng-2694	144	40	the	the	DET
fumecheng-2694	144	41	natural	natural	ADJ
fumecheng-2694	144	42	frequencies	frequency	NOUN
fumecheng-2694	144	43	and	and	CCONJ
fumecheng-2694	144	44	mode	mode	NOUN
fumecheng-2694	144	45	shapes	shape	NOUN
fumecheng-2694	144	46	are	be	AUX
fumecheng-2694	144	47	in	in	ADP
fumecheng-2694	144	48	this	this	DET
fumecheng-2694	144	49	case	case	NOUN
fumecheng-2694	144	50	influenced	influence	VERB
fumecheng-2694	144	51	by	by	ADP
fumecheng-2694	144	52	the	the	DET
fumecheng-2694	144	53	properties	property	NOUN
fumecheng-2694	144	54	of	of	ADP
fumecheng-2694	144	55	the	the	DET
fumecheng-2694	144	56	piezoelectric	piezoelectric	ADJ
fumecheng-2694	144	57	material	material	NOUN
fumecheng-2694	144	58	.	.	PUNCT
fumecheng-2694	145	1	the	the	DET
fumecheng-2694	145	2	natural	natural	ADJ
fumecheng-2694	145	3	frequencies	frequency	NOUN
fumecheng-2694	145	4	are	be	AUX
fumecheng-2694	145	5	increased	increase	VERB
fumecheng-2694	145	6	in	in	ADP
fumecheng-2694	145	7	the	the	DET
fumecheng-2694	145	8	open	open	ADJ
fumecheng-2694	145	9	electrodes	electrode	NOUN
fumecheng-2694	145	10	case	case	NOUN
fumecheng-2694	145	11	compared	compare	VERB
fumecheng-2694	145	12	to	to	ADP
fumecheng-2694	145	13	the	the	DET
fumecheng-2694	145	14	short	short	ADV
fumecheng-2694	145	15	-	-	PUNCT
fumecheng-2694	145	16	circuited	circuit	VERB
fumecheng-2694	145	17	case	case	NOUN
fumecheng-2694	145	18	because	because	SCONJ
fumecheng-2694	145	19	of	of	ADP
fumecheng-2694	145	20	the	the	DET
fumecheng-2694	145	21	additional	additional	ADJ
fumecheng-2694	145	22	stiffness	stiffness	ADJ
fumecheng-2694	145	23	term	term	NOUN
fumecheng-2694	145	24	.	.	PUNCT
fumecheng-2694	146	1	both	both	DET
fumecheng-2694	146	2	the	the	DET
fumecheng-2694	146	3	cases	case	NOUN
fumecheng-2694	146	4	are	be	AUX
fumecheng-2694	146	5	studied	study	VERB
fumecheng-2694	146	6	on	on	ADP
fumecheng-2694	146	7	the	the	DET
fumecheng-2694	146	8	same	same	ADJ
fumecheng-2694	146	9	structure	structure	NOUN
fumecheng-2694	146	10	,	,	PUNCT
fumecheng-2694	146	11	at	at	ADP
fumecheng-2694	146	12	all	all	DET
fumecheng-2694	146	13	edges	edge	NOUN
fumecheng-2694	146	14	simply	simply	ADV
fumecheng-2694	146	15	supported	support	VERB
fumecheng-2694	146	16	square	square	ADJ
fumecheng-2694	146	17	laminated	laminate	VERB
fumecheng-2694	146	18	piezoelectric	piezoelectric	NOUN
fumecheng-2694	146	19	plate	plate	NOUN
fumecheng-2694	146	20	(	(	PUNCT
fumecheng-2694	146	21	dimensions	dimension	NOUN
fumecheng-2694	146	22	aa	aa	NOUN
fumecheng-2694	146	23	=	=	SYM
fumecheng-2694	146	24	0.20.2	0.20.2	PROPN
fumecheng-2694	146	25	m	m	X
fumecheng-2694	146	26	,	,	PUNCT
fumecheng-2694	146	27	see	see	VERB
fumecheng-2694	146	28	fig	fig	NOUN
fumecheng-2694	146	29	.	.	PUNCT
fumecheng-2694	147	1	2	2	NUM
fumecheng-2694	147	2	)	)	PUNCT
fumecheng-2694	147	3	.	.	PUNCT
fumecheng-2694	148	1	fig	fig	NOUN
fumecheng-2694	148	2	.	.	PUNCT
fumecheng-2694	149	1	2	2	NUM
fumecheng-2694	149	2	geometry	geometry	NOUN
fumecheng-2694	149	3	of	of	ADP
fumecheng-2694	149	4	the	the	DET
fumecheng-2694	149	5	simply	simply	ADV
fumecheng-2694	149	6	supported	support	VERB
fumecheng-2694	149	7	plate	plate	NOUN
fumecheng-2694	149	8	with	with	ADP
fumecheng-2694	149	9	different	different	ADJ
fumecheng-2694	149	10	electric	electric	ADJ
fumecheng-2694	149	11	boundary	boundary	ADJ
fumecheng-2694	149	12	conditions	condition	NOUN
fumecheng-2694	149	13	(	(	PUNCT
fumecheng-2694	149	14	sc	sc	NOUN
fumecheng-2694	149	15	)	)	PUNCT
fumecheng-2694	149	16	and	and	CCONJ
fumecheng-2694	149	17	(	(	PUNCT
fumecheng-2694	149	18	o	o	NOUN
fumecheng-2694	149	19	)	)	PUNCT
fumecheng-2694	149	20	the	the	DET
fumecheng-2694	149	21	composite	composite	ADJ
fumecheng-2694	149	22	ply	ply	NOUN
fumecheng-2694	149	23	layup	layup	NOUN
fumecheng-2694	149	24	is	be	AUX
fumecheng-2694	149	25	[	[	X
fumecheng-2694	149	26	p/0	p/0	NUM
fumecheng-2694	149	27	°	°	NOUN
fumecheng-2694	149	28	/90	/90	NOUN
fumecheng-2694	149	29	°	°	PROPN
fumecheng-2694	149	30	0	0	NUM
fumecheng-2694	149	31	°	°	NUM
fumecheng-2694	149	32	/p	/p	X
fumecheng-2694	149	33	]	]	X
fumecheng-2694	149	34	.	.	PUNCT
fumecheng-2694	150	1	the	the	DET
fumecheng-2694	150	2	outer	outer	ADJ
fumecheng-2694	150	3	layers	layer	NOUN
fumecheng-2694	150	4	are	be	AUX
fumecheng-2694	150	5	made	make	VERB
fumecheng-2694	150	6	of	of	ADP
fumecheng-2694	150	7	piezoelectric	piezoelectric	NOUN
fumecheng-2694	150	8	ptz-4	ptz-4	NOUN
fumecheng-2694	150	9	ceramics	ceramic	NOUN
fumecheng-2694	150	10	and	and	CCONJ
fumecheng-2694	150	11	the	the	DET
fumecheng-2694	150	12	composite	composite	ADJ
fumecheng-2694	150	13	layers	layer	NOUN
fumecheng-2694	150	14	of	of	ADP
fumecheng-2694	150	15	graphite	graphite	NOUN
fumecheng-2694	150	16	epoxy	epoxy	NOUN
fumecheng-2694	150	17	(	(	PUNCT
fumecheng-2694	150	18	gr	gr	PROPN
fumecheng-2694	150	19	/	/	SYM
fumecheng-2694	150	20	ep	ep	PROPN
fumecheng-2694	150	21	)	)	PUNCT
fumecheng-2694	150	22	.	.	PUNCT
fumecheng-2694	151	1	the	the	DET
fumecheng-2694	151	2	thickness	thickness	NOUN
fumecheng-2694	151	3	of	of	ADP
fumecheng-2694	151	4	each	each	DET
fumecheng-2694	151	5	piezoelectric	piezoelectric	NOUN
fumecheng-2694	151	6	layer	layer	NOUN
fumecheng-2694	151	7	is	be	AUX
fumecheng-2694	151	8	0.0004	0.0004	NUM
fumecheng-2694	151	9	m	m	PRON
fumecheng-2694	151	10	and	and	CCONJ
fumecheng-2694	151	11	each	each	DET
fumecheng-2694	151	12	composite	composite	ADJ
fumecheng-2694	151	13	layer	layer	NOUN
fumecheng-2694	151	14	is	be	AUX
fumecheng-2694	151	15	0.001068	0.001068	NUM
fumecheng-2694	151	16	m	m	VERB
fumecheng-2694	151	17	thick	thick	ADJ
fumecheng-2694	151	18	.	.	PUNCT
fumecheng-2694	152	1	saravanos	saravano	NOUN
fumecheng-2694	153	1	[	[	X
fumecheng-2694	153	2	26	26	NUM
fumecheng-2694	153	3	]	]	PUNCT
fumecheng-2694	153	4	computed	compute	VERB
fumecheng-2694	153	5	the	the	DET
fumecheng-2694	153	6	first	first	ADJ
fumecheng-2694	153	7	natural	natural	ADJ
fumecheng-2694	153	8	frequency	frequency	NOUN
fumecheng-2694	153	9	for	for	ADP
fumecheng-2694	153	10	this	this	DET
fumecheng-2694	153	11	structure	structure	NOUN
fumecheng-2694	153	12	using	use	VERB
fumecheng-2694	153	13	different	different	ADJ
fumecheng-2694	153	14	a	a	DET
fumecheng-2694	153	15	3	3	NUM
fumecheng-2694	153	16	-	-	PUNCT
fumecheng-2694	153	17	node	node	ADJ
fumecheng-2694	153	18	piezoelectric	piezoelectric	NOUN
fumecheng-2694	153	19	shell	shell	NOUN
fumecheng-2694	153	20	element	element	NOUN
fumecheng-2694	153	21	for	for	ADP
fumecheng-2694	153	22	linear	linear	PROPN
fumecheng-2694	153	23	and	and	CCONJ
fumecheng-2694	153	24	geometrically	geometrically	ADV
fumecheng-2694	153	25	nonlinear	nonlinear	ADJ
fumecheng-2694	153	26	dynamic	dynamic	ADJ
fumecheng-2694	153	27	analysis	analysis	NOUN
fumecheng-2694	153	28	...	...	PUNCT
fumecheng-2694	153	29	37	37	NUM
fumecheng-2694	153	30	meshes	mesh	NOUN
fumecheng-2694	153	31	.	.	PUNCT
fumecheng-2694	154	1	these	these	DET
fumecheng-2694	154	2	results	result	NOUN
fumecheng-2694	154	3	are	be	AUX
fumecheng-2694	154	4	used	use	VERB
fumecheng-2694	154	5	for	for	ADP
fumecheng-2694	154	6	the	the	DET
fumecheng-2694	154	7	comparison	comparison	NOUN
fumecheng-2694	154	8	with	with	ADP
fumecheng-2694	154	9	the	the	DET
fumecheng-2694	154	10	current	current	ADJ
fumecheng-2694	154	11	formulation	formulation	NOUN
fumecheng-2694	154	12	.	.	PUNCT
fumecheng-2694	155	1	in	in	ADP
fumecheng-2694	155	2	order	order	NOUN
fumecheng-2694	155	3	to	to	PART
fumecheng-2694	155	4	make	make	VERB
fumecheng-2694	155	5	the	the	DET
fumecheng-2694	155	6	results	result	NOUN
fumecheng-2694	155	7	comparable	comparable	ADJ
fumecheng-2694	155	8	to	to	ADP
fumecheng-2694	155	9	[	[	X
fumecheng-2694	155	10	26	26	NUM
fumecheng-2694	155	11	]	]	PUNCT
fumecheng-2694	155	12	the	the	DET
fumecheng-2694	155	13	value	value	NOUN
fumecheng-2694	155	14	of	of	ADP
fumecheng-2694	155	15	density	density	NOUN
fumecheng-2694	155	16	of	of	ADP
fumecheng-2694	155	17	all	all	DET
fumecheng-2694	155	18	layers	layer	NOUN
fumecheng-2694	155	19	is	be	AUX
fumecheng-2694	155	20	set	set	VERB
fumecheng-2694	155	21	to	to	ADP
fumecheng-2694	155	22	one	one	NUM
fumecheng-2694	155	23	kg	kg	NOUN
fumecheng-2694	155	24	/	/	SYM
fumecheng-2694	155	25	m³.	m³.	PROPN
fumecheng-2694	155	26	table	table	NOUN
fumecheng-2694	155	27	2	2	NUM
fumecheng-2694	155	28	shows	show	VERB
fumecheng-2694	155	29	the	the	DET
fumecheng-2694	155	30	result	result	NOUN
fumecheng-2694	155	31	convergence	convergence	NOUN
fumecheng-2694	155	32	for	for	ADP
fumecheng-2694	155	33	the	the	DET
fumecheng-2694	155	34	first	first	ADJ
fumecheng-2694	155	35	natural	natural	ADJ
fumecheng-2694	155	36	frequency	frequency	NOUN
fumecheng-2694	155	37	determined	determine	VERB
fumecheng-2694	155	38	by	by	ADP
fumecheng-2694	155	39	using	use	VERB
fumecheng-2694	155	40	three	three	NUM
fumecheng-2694	155	41	different	different	ADJ
fumecheng-2694	155	42	meshes	mesh	NOUN
fumecheng-2694	155	43	(	(	PUNCT
fumecheng-2694	155	44	32	32	NUM
fumecheng-2694	155	45	,	,	PUNCT
fumecheng-2694	155	46	128	128	NUM
fumecheng-2694	155	47	and	and	CCONJ
fumecheng-2694	155	48	288	288	NUM
fumecheng-2694	155	49	elements	element	NOUN
fumecheng-2694	155	50	)	)	PUNCT
fumecheng-2694	155	51	.	.	PUNCT
fumecheng-2694	156	1	for	for	ADP
fumecheng-2694	156	2	an	an	DET
fumecheng-2694	156	3	easier	easy	ADJ
fumecheng-2694	156	4	comparison	comparison	NOUN
fumecheng-2694	156	5	these	these	DET
fumecheng-2694	156	6	results	result	NOUN
fumecheng-2694	156	7	are	be	AUX
fumecheng-2694	156	8	normalized	normalize	VERB
fumecheng-2694	156	9	with	with	ADP
fumecheng-2694	156	10	respect	respect	NOUN
fumecheng-2694	156	11	to	to	ADP
fumecheng-2694	156	12	a	a	DET
fumecheng-2694	156	13	reference	reference	NOUN
fumecheng-2694	156	14	solution	solution	NOUN
fumecheng-2694	156	15	.	.	PUNCT
fumecheng-2694	157	1	for	for	ADP
fumecheng-2694	157	2	the	the	DET
fumecheng-2694	157	3	sc	sc	PROPN
fumecheng-2694	157	4	-	-	PUNCT
fumecheng-2694	157	5	case	case	NOUN
fumecheng-2694	157	6	the	the	DET
fumecheng-2694	157	7	reference	reference	NOUN
fumecheng-2694	157	8	solution	solution	NOUN
fumecheng-2694	157	9	is	be	AUX
fumecheng-2694	157	10	obtained	obtain	VERB
fumecheng-2694	157	11	with	with	ADP
fumecheng-2694	157	12	abaqus	abaqus	NOUN
fumecheng-2694	157	13	using	use	VERB
fumecheng-2694	157	14	a	a	DET
fumecheng-2694	157	15	24×24	24×24	NUM
fumecheng-2694	157	16	elements	element	NOUN
fumecheng-2694	157	17	mesh	mesh	NOUN
fumecheng-2694	157	18	and	and	CCONJ
fumecheng-2694	157	19	the	the	DET
fumecheng-2694	157	20	biquadratic	biquadratic	ADJ
fumecheng-2694	157	21	s8	s8	PROPN
fumecheng-2694	157	22	element	element	NOUN
fumecheng-2694	157	23	while	while	SCONJ
fumecheng-2694	157	24	the	the	DET
fumecheng-2694	157	25	reference	reference	NOUN
fumecheng-2694	157	26	solution	solution	NOUN
fumecheng-2694	157	27	of	of	ADP
fumecheng-2694	157	28	case	case	NOUN
fumecheng-2694	157	29	(	(	PUNCT
fumecheng-2694	157	30	o	o	NOUN
fumecheng-2694	157	31	)	)	PUNCT
fumecheng-2694	157	32	is	be	AUX
fumecheng-2694	157	33	analytical	analytical	ADJ
fumecheng-2694	157	34	and	and	CCONJ
fumecheng-2694	157	35	presented	present	VERB
fumecheng-2694	157	36	in	in	ADP
fumecheng-2694	157	37	[	[	X
fumecheng-2694	157	38	26	26	NUM
fumecheng-2694	157	39	]	]	PUNCT
fumecheng-2694	157	40	.	.	PUNCT
fumecheng-2694	158	1	the	the	DET
fumecheng-2694	158	2	difference	difference	NOUN
fumecheng-2694	158	3	to	to	ADP
fumecheng-2694	158	4	the	the	DET
fumecheng-2694	158	5	reference	reference	NOUN
fumecheng-2694	158	6	solutions	solution	NOUN
fumecheng-2694	158	7	is	be	AUX
fumecheng-2694	158	8	in	in	ADP
fumecheng-2694	158	9	both	both	DET
fumecheng-2694	158	10	cases	case	NOUN
fumecheng-2694	158	11	less	less	ADJ
fumecheng-2694	158	12	than	than	ADP
fumecheng-2694	158	13	0.5	0.5	NUM
fumecheng-2694	158	14	%	%	NOUN
fumecheng-2694	158	15	for	for	ADP
fumecheng-2694	158	16	the	the	DET
fumecheng-2694	158	17	mesh	mesh	NOUN
fumecheng-2694	158	18	with	with	ADP
fumecheng-2694	158	19	288	288	NUM
fumecheng-2694	158	20	elements	element	NOUN
fumecheng-2694	158	21	.	.	PUNCT
fumecheng-2694	159	1	table	table	NOUN
fumecheng-2694	159	2	2	2	NUM
fumecheng-2694	159	3	the	the	DET
fumecheng-2694	159	4	normalized	normalize	VERB
fumecheng-2694	159	5	first	first	ADJ
fumecheng-2694	159	6	eigenfrequency	eigenfrequency	NOUN
fumecheng-2694	159	7	–	–	PUNCT
fumecheng-2694	159	8	convergence	convergence	NOUN
fumecheng-2694	159	9	analysis	analysis	NOUN
fumecheng-2694	159	10	closed	close	VERB
fumecheng-2694	159	11	circuit	circuit	NOUN
fumecheng-2694	159	12	f1,ref	f1,ref	NOUN
fumecheng-2694	159	13	=	=	NOUN
fumecheng-2694	159	14	22915	22915	NUM
fumecheng-2694	159	15	hz	hz	X
fumecheng-2694	159	16	(	(	PUNCT
fumecheng-2694	159	17	abaqus	abaqus	PROPN
fumecheng-2694	159	18	s8	s8	PROPN
fumecheng-2694	159	19	24×24	24×24	NUM
fumecheng-2694	159	20	mesh	mesh	NOUN
fumecheng-2694	159	21	)	)	PUNCT
fumecheng-2694	159	22	open	open	ADJ
fumecheng-2694	159	23	electrodes	electrode	VERB
fumecheng-2694	159	24	f1,ref	f1,ref	NOUN
fumecheng-2694	159	25	=	=	NOUN
fumecheng-2694	159	26	24594	24594	NUM
fumecheng-2694	159	27	hz	hz	VERB
fumecheng-2694	159	28	[	[	X
fumecheng-2694	159	29	26	26	NUM
fumecheng-2694	159	30	]	]	PUNCT
fumecheng-2694	159	31	mesh	mesh	NOUN
fumecheng-2694	159	32	present	present	ADJ
fumecheng-2694	159	33	abaqus	abaqus	NOUN
fumecheng-2694	159	34	[	[	X
fumecheng-2694	159	35	26	26	NUM
fumecheng-2694	159	36	]	]	X
fumecheng-2694	159	37	present	present	NOUN
fumecheng-2694	160	1	[	[	X
fumecheng-2694	160	2	26	26	NUM
fumecheng-2694	160	3	]	]	SYM
fumecheng-2694	160	4	32	32	NUM
fumecheng-2694	160	5	1.203	1.203	NUM
fumecheng-2694	160	6	1.220	1.220	NUM
fumecheng-2694	160	7	1.090	1.090	NUM
fumecheng-2694	160	8	1.193	1.193	NUM
fumecheng-2694	160	9	1.109	1.109	NUM
fumecheng-2694	160	10	128	128	NUM
fumecheng-2694	160	11	1.045	1.045	NUM
fumecheng-2694	160	12	1.050	1.050	NUM
fumecheng-2694	160	13	1.034	1.034	NUM
fumecheng-2694	160	14	1.040	1.040	NUM
fumecheng-2694	160	15	1.054	1.054	NUM
fumecheng-2694	160	16	288	288	NUM
fumecheng-2694	160	17	1.003	1.003	NUM
fumecheng-2694	160	18	1.024	1.024	NUM
fumecheng-2694	160	19	1.023	1.023	NUM
fumecheng-2694	160	20	1.001	1.001	NUM
fumecheng-2694	160	21	1.044	1.044	NUM
fumecheng-2694	160	22	4.2	4.2	NUM
fumecheng-2694	160	23	.	.	PUNCT
fumecheng-2694	161	1	transient	transient	VERB
fumecheng-2694	161	2	analysis	analysis	NOUN
fumecheng-2694	161	3	of	of	ADP
fumecheng-2694	161	4	an	an	DET
fumecheng-2694	161	5	active	active	ADJ
fumecheng-2694	161	6	beam	beam	NOUN
fumecheng-2694	161	7	structure	structure	NOUN
fumecheng-2694	161	8	(	(	PUNCT
fumecheng-2694	161	9	linear	linear	ADJ
fumecheng-2694	161	10	dynamic	dynamic	ADJ
fumecheng-2694	161	11	actuator	actuator	NOUN
fumecheng-2694	161	12	case	case	NOUN
fumecheng-2694	161	13	)	)	PUNCT
fumecheng-2694	161	14	the	the	DET
fumecheng-2694	161	15	undamped	undampe	VERB
fumecheng-2694	161	16	dynamic	dynamic	ADJ
fumecheng-2694	161	17	behavior	behavior	NOUN
fumecheng-2694	161	18	of	of	ADP
fumecheng-2694	161	19	a	a	DET
fumecheng-2694	161	20	clamped	clamp	VERB
fumecheng-2694	161	21	beam	beam	NOUN
fumecheng-2694	161	22	with	with	ADP
fumecheng-2694	161	23	two	two	NUM
fumecheng-2694	161	24	pairs	pair	NOUN
fumecheng-2694	161	25	of	of	ADP
fumecheng-2694	161	26	piezopatches	piezopatche	NOUN
fumecheng-2694	161	27	bonded	bond	VERB
fumecheng-2694	161	28	onto	onto	ADP
fumecheng-2694	161	29	its	its	PRON
fumecheng-2694	161	30	outer	outer	ADJ
fumecheng-2694	161	31	surfaces	surface	NOUN
fumecheng-2694	161	32	is	be	AUX
fumecheng-2694	161	33	studied	study	VERB
fumecheng-2694	161	34	in	in	ADP
fumecheng-2694	161	35	this	this	DET
fumecheng-2694	161	36	example	example	NOUN
fumecheng-2694	161	37	.	.	PUNCT
fumecheng-2694	162	1	the	the	DET
fumecheng-2694	162	2	beam	beam	NOUN
fumecheng-2694	162	3	geometry	geometry	NOUN
fumecheng-2694	162	4	is	be	AUX
fumecheng-2694	162	5	depicted	depict	VERB
fumecheng-2694	162	6	in	in	ADP
fumecheng-2694	162	7	fig	fig	NOUN
fumecheng-2694	162	8	.	.	PUNCT
fumecheng-2694	163	1	3	3	X
fumecheng-2694	163	2	.	.	X
fumecheng-2694	163	3	it	it	PRON
fumecheng-2694	163	4	is	be	AUX
fumecheng-2694	163	5	made	make	VERB
fumecheng-2694	163	6	of	of	ADP
fumecheng-2694	163	7	aluminum	aluminum	NOUN
fumecheng-2694	163	8	,	,	PUNCT
fumecheng-2694	163	9	while	while	SCONJ
fumecheng-2694	163	10	the	the	DET
fumecheng-2694	163	11	piezopatches	piezopatche	NOUN
fumecheng-2694	163	12	are	be	AUX
fumecheng-2694	163	13	made	make	VERB
fumecheng-2694	163	14	of	of	ADP
fumecheng-2694	163	15	pic	pic	NOUN
fumecheng-2694	163	16	151	151	NUM
fumecheng-2694	163	17	(	(	PUNCT
fumecheng-2694	163	18	table	table	NOUN
fumecheng-2694	163	19	1	1	NUM
fumecheng-2694	163	20	)	)	PUNCT
fumecheng-2694	163	21	.	.	PUNCT
fumecheng-2694	164	1	fig	fig	NOUN
fumecheng-2694	164	2	.	.	PUNCT
fumecheng-2694	165	1	3	3	NUM
fumecheng-2694	165	2	geometry	geometry	NOUN
fumecheng-2694	165	3	of	of	ADP
fumecheng-2694	165	4	the	the	DET
fumecheng-2694	165	5	active	active	ADJ
fumecheng-2694	165	6	beam	beam	NOUN
fumecheng-2694	165	7	structure	structure	NOUN
fumecheng-2694	165	8	with	with	ADP
fumecheng-2694	165	9	two	two	NUM
fumecheng-2694	165	10	pairs	pair	NOUN
fumecheng-2694	165	11	of	of	ADP
fumecheng-2694	165	12	piezopatches	piezopatche	NOUN
fumecheng-2694	165	13	the	the	DET
fumecheng-2694	165	14	oppositely	oppositely	ADV
fumecheng-2694	165	15	polarized	polarize	VERB
fumecheng-2694	165	16	piezopatches	piezopatche	NOUN
fumecheng-2694	165	17	are	be	AUX
fumecheng-2694	165	18	subjected	subject	VERB
fumecheng-2694	165	19	to	to	ADP
fumecheng-2694	165	20	a	a	DET
fumecheng-2694	165	21	time	time	NOUN
fumecheng-2694	165	22	-	-	PUNCT
fumecheng-2694	165	23	varying	vary	VERB
fumecheng-2694	165	24	voltage	voltage	NOUN
fumecheng-2694	165	25	.	.	PUNCT
fumecheng-2694	166	1	the	the	DET
fumecheng-2694	166	2	voltage	voltage	NOUN
fumecheng-2694	166	3	is	be	AUX
fumecheng-2694	166	4	a	a	DET
fumecheng-2694	166	5	sinusoidal	sinusoidal	ADJ
fumecheng-2694	166	6	function	function	NOUN
fumecheng-2694	166	7	with	with	ADP
fumecheng-2694	166	8	amplitude	amplitude	NOUN
fumecheng-2694	166	9	of	of	ADP
fumecheng-2694	166	10	100	100	NUM
fumecheng-2694	166	11	v	v	NOUN
fumecheng-2694	166	12	and	and	CCONJ
fumecheng-2694	166	13	frequency	frequency	NOUN
fumecheng-2694	166	14	of	of	ADP
fumecheng-2694	166	15	100	100	NUM
fumecheng-2694	166	16	hz	hz	NOUN
fumecheng-2694	166	17	.	.	PUNCT
fumecheng-2694	167	1	this	this	PRON
fumecheng-2694	167	2	induces	induce	VERB
fumecheng-2694	167	3	time	time	NOUN
fumecheng-2694	167	4	-	-	PUNCT
fumecheng-2694	167	5	varying	vary	VERB
fumecheng-2694	167	6	bending	bend	VERB
fumecheng-2694	167	7	moments	moment	NOUN
fumecheng-2694	167	8	with	with	ADP
fumecheng-2694	167	9	respect	respect	NOUN
fumecheng-2694	167	10	to	to	ADP
fumecheng-2694	167	11	the	the	DET
fumecheng-2694	167	12	structure	structure	NOUN
fumecheng-2694	167	13	’s	’s	PART
fumecheng-2694	167	14	mid	mid	NOUN
fumecheng-2694	167	15	-	-	NOUN
fumecheng-2694	167	16	surface	surface	NOUN
fumecheng-2694	167	17	,	,	PUNCT
fumecheng-2694	167	18	which	which	PRON
fumecheng-2694	167	19	are	be	AUX
fumecheng-2694	167	20	uniformly	uniformly	ADV
fumecheng-2694	167	21	distributed	distribute	VERB
fumecheng-2694	167	22	over	over	ADP
fumecheng-2694	167	23	the	the	DET
fumecheng-2694	167	24	patch	patch	NOUN
fumecheng-2694	167	25	edges	edge	NOUN
fumecheng-2694	167	26	.	.	PUNCT
fumecheng-2694	168	1	the	the	DET
fumecheng-2694	168	2	resulting	result	VERB
fumecheng-2694	168	3	transverse	transverse	NOUN
fumecheng-2694	168	4	beam	beam	NOUN
fumecheng-2694	168	5	tip	tip	NOUN
fumecheng-2694	168	6	deflection	deflection	NOUN
fumecheng-2694	168	7	(	(	PUNCT
fumecheng-2694	168	8	w	w	NOUN
fumecheng-2694	168	9	)	)	PUNCT
fumecheng-2694	168	10	is	be	AUX
fumecheng-2694	168	11	observed	observe	VERB
fumecheng-2694	168	12	in	in	ADP
fumecheng-2694	168	13	a	a	DET
fumecheng-2694	168	14	time	time	NOUN
fumecheng-2694	168	15	interval	interval	NOUN
fumecheng-2694	168	16	of	of	ADP
fumecheng-2694	168	17	0.1	0.1	NUM
fumecheng-2694	168	18	s	s	NOUN
fumecheng-2694	168	19	with	with	ADP
fumecheng-2694	168	20	constant	constant	ADJ
fumecheng-2694	168	21	time	time	NOUN
fumecheng-2694	168	22	-	-	PUNCT
fumecheng-2694	168	23	step	step	NOUN
fumecheng-2694	168	24	of	of	ADP
fumecheng-2694	168	25	0.0001	0.0001	NUM
fumecheng-2694	168	26	s	s	NOUN
fumecheng-2694	168	27	(	(	PUNCT
fumecheng-2694	168	28	1000	1000	NUM
fumecheng-2694	168	29	steps	step	NOUN
fumecheng-2694	168	30	)	)	PUNCT
fumecheng-2694	168	31	using	use	VERB
fumecheng-2694	168	32	the	the	DET
fumecheng-2694	168	33	newmark	newmark	NOUN
fumecheng-2694	168	34	time	time	NOUN
fumecheng-2694	168	35	integration	integration	NOUN
fumecheng-2694	168	36	scheme	scheme	NOUN
fumecheng-2694	169	1	[	[	X
fumecheng-2694	169	2	25	25	NUM
fumecheng-2694	169	3	]	]	PUNCT
fumecheng-2694	169	4	.	.	PUNCT
fumecheng-2694	170	1	the	the	DET
fumecheng-2694	170	2	first	first	ADJ
fumecheng-2694	170	3	three	three	NUM
fumecheng-2694	170	4	eigenfrequencies	eigenfrequencie	NOUN
fumecheng-2694	170	5	of	of	ADP
fumecheng-2694	170	6	the	the	DET
fumecheng-2694	170	7	beam	beam	NOUN
fumecheng-2694	170	8	considered	consider	VERB
fumecheng-2694	170	9	as	as	ADP
fumecheng-2694	170	10	a	a	DET
fumecheng-2694	170	11	purely	purely	ADV
fumecheng-2694	170	12	mechanical	mechanical	ADJ
fumecheng-2694	170	13	structure	structure	NOUN
fumecheng-2694	170	14	are	be	AUX
fumecheng-2694	170	15	31.1	31.1	NUM
fumecheng-2694	170	16	hz	hz	NOUN
fumecheng-2694	170	17	,	,	PUNCT
fumecheng-2694	170	18	131.8	131.8	NUM
fumecheng-2694	170	19	hz	hz	NOUN
fumecheng-2694	170	20	and	and	CCONJ
fumecheng-2694	170	21	349.9	349.9	NUM
fumecheng-2694	170	22	hz	hz	NOUN
fumecheng-2694	170	23	.	.	PUNCT
fumecheng-2694	171	1	hence	hence	ADV
fumecheng-2694	171	2	the	the	DET
fumecheng-2694	171	3	answer	answer	NOUN
fumecheng-2694	171	4	of	of	ADP
fumecheng-2694	171	5	the	the	DET
fumecheng-2694	171	6	structure	structure	NOUN
fumecheng-2694	171	7	subjected	subject	VERB
fumecheng-2694	171	8	to	to	ADP
fumecheng-2694	171	9	an	an	DET
fumecheng-2694	171	10	excitation	excitation	NOUN
fumecheng-2694	171	11	with	with	ADP
fumecheng-2694	171	12	the	the	DET
fumecheng-2694	171	13	frequency	frequency	NOUN
fumecheng-2694	171	14	of	of	ADP
fumecheng-2694	171	15	100	100	NUM
fumecheng-2694	171	16	hz	hz	X
fumecheng-2694	171	17	is	be	AUX
fumecheng-2694	171	18	dominated	dominate	VERB
fumecheng-2694	171	19	by	by	ADP
fumecheng-2694	171	20	the	the	DET
fumecheng-2694	171	21	first	first	ADJ
fumecheng-2694	171	22	38	38	NUM
fumecheng-2694	171	23	g.	g.	NOUN
fumecheng-2694	171	24	rama	rama	PROPN
fumecheng-2694	171	25	two	two	NUM
fumecheng-2694	171	26	natural	natural	ADJ
fumecheng-2694	171	27	mode	mode	NOUN
fumecheng-2694	171	28	shapes	shape	NOUN
fumecheng-2694	171	29	.	.	PUNCT
fumecheng-2694	172	1	the	the	DET
fumecheng-2694	172	2	transient	transient	ADJ
fumecheng-2694	172	3	analysis	analysis	NOUN
fumecheng-2694	172	4	is	be	AUX
fumecheng-2694	172	5	carried	carry	VERB
fumecheng-2694	172	6	out	out	ADP
fumecheng-2694	172	7	using	use	VERB
fumecheng-2694	172	8	a	a	DET
fumecheng-2694	172	9	fe	fe	NOUN
fumecheng-2694	172	10	mesh	mesh	NOUN
fumecheng-2694	172	11	with	with	ADP
fumecheng-2694	172	12	320	320	NUM
fumecheng-2694	172	13	elements	element	NOUN
fumecheng-2694	172	14	,	,	PUNCT
fumecheng-2694	172	15	which	which	PRON
fumecheng-2694	172	16	yielded	yield	VERB
fumecheng-2694	172	17	a	a	DET
fumecheng-2694	172	18	converged	converge	VERB
fumecheng-2694	172	19	solution	solution	NOUN
fumecheng-2694	172	20	for	for	ADP
fumecheng-2694	172	21	the	the	DET
fumecheng-2694	172	22	first	first	ADJ
fumecheng-2694	172	23	three	three	NUM
fumecheng-2694	172	24	eigenfrequencies	eigenfrequencie	NOUN
fumecheng-2694	172	25	and	and	CCONJ
fumecheng-2694	172	26	mode	mode	NOUN
fumecheng-2694	172	27	shapes	shape	NOUN
fumecheng-2694	172	28	.	.	PUNCT
fumecheng-2694	173	1	for	for	ADP
fumecheng-2694	173	2	the	the	DET
fumecheng-2694	173	3	purpose	purpose	NOUN
fumecheng-2694	173	4	of	of	ADP
fumecheng-2694	173	5	verification	verification	NOUN
fumecheng-2694	173	6	,	,	PUNCT
fumecheng-2694	173	7	a	a	DET
fumecheng-2694	173	8	transient	transient	ADJ
fumecheng-2694	173	9	analysis	analysis	NOUN
fumecheng-2694	173	10	of	of	ADP
fumecheng-2694	173	11	the	the	DET
fumecheng-2694	173	12	same	same	ADJ
fumecheng-2694	173	13	structure	structure	NOUN
fumecheng-2694	173	14	was	be	AUX
fumecheng-2694	173	15	computed	compute	VERB
fumecheng-2694	173	16	in	in	ADP
fumecheng-2694	173	17	abaqus	abaqus	NOUN
fumecheng-2694	173	18	using	use	VERB
fumecheng-2694	173	19	the	the	DET
fumecheng-2694	173	20	s3	s3	PROPN
fumecheng-2694	173	21	shell	shell	NOUN
fumecheng-2694	173	22	element	element	NOUN
fumecheng-2694	173	23	,	,	PUNCT
fumecheng-2694	173	24	the	the	DET
fumecheng-2694	173	25	same	same	ADJ
fumecheng-2694	173	26	mesh	mesh	NOUN
fumecheng-2694	173	27	and	and	CCONJ
fumecheng-2694	173	28	time	time	NOUN
fumecheng-2694	173	29	-	-	PUNCT
fumecheng-2694	173	30	step	step	NOUN
fumecheng-2694	173	31	,	,	PUNCT
fumecheng-2694	173	32	whereby	whereby	SCONJ
fumecheng-2694	173	33	the	the	DET
fumecheng-2694	173	34	equivalent	equivalent	ADJ
fumecheng-2694	173	35	mechanical	mechanical	ADJ
fumecheng-2694	173	36	nodal	nodal	NOUN
fumecheng-2694	173	37	excitations	excitation	NOUN
fumecheng-2694	173	38	were	be	AUX
fumecheng-2694	173	39	pre	pre	ADJ
fumecheng-2694	173	40	-	-	VERB
fumecheng-2694	173	41	computed	computed	ADJ
fumecheng-2694	173	42	and	and	CCONJ
fumecheng-2694	173	43	directly	directly	ADV
fumecheng-2694	173	44	applied	apply	VERB
fumecheng-2694	173	45	.	.	PUNCT
fumecheng-2694	174	1	the	the	DET
fumecheng-2694	174	2	obtained	obtain	VERB
fumecheng-2694	174	3	time	time	NOUN
fumecheng-2694	174	4	histories	history	NOUN
fumecheng-2694	174	5	of	of	ADP
fumecheng-2694	174	6	the	the	DET
fumecheng-2694	174	7	tip	tip	NOUN
fumecheng-2694	174	8	deflection	deflection	NOUN
fumecheng-2694	174	9	are	be	AUX
fumecheng-2694	174	10	shown	show	VERB
fumecheng-2694	174	11	in	in	ADP
fumecheng-2694	174	12	fig	fig	NOUN
fumecheng-2694	174	13	.	.	PUNCT
fumecheng-2694	175	1	4	4	X
fumecheng-2694	175	2	.	.	X
fumecheng-2694	175	3	the	the	DET
fumecheng-2694	175	4	results	result	NOUN
fumecheng-2694	175	5	of	of	ADP
fumecheng-2694	175	6	the	the	DET
fumecheng-2694	175	7	present	present	ADJ
fumecheng-2694	175	8	formulation	formulation	NOUN
fumecheng-2694	175	9	are	be	AUX
fumecheng-2694	175	10	in	in	ADP
fumecheng-2694	175	11	a	a	DET
fumecheng-2694	175	12	very	very	ADV
fumecheng-2694	175	13	good	good	ADJ
fumecheng-2694	175	14	agreement	agreement	NOUN
fumecheng-2694	175	15	with	with	ADP
fumecheng-2694	175	16	those	those	PRON
fumecheng-2694	175	17	from	from	ADP
fumecheng-2694	175	18	abaqus	abaqus	PROPN
fumecheng-2694	175	19	.	.	PUNCT
fumecheng-2694	176	1	fig	fig	NOUN
fumecheng-2694	176	2	.	.	PUNCT
fumecheng-2694	177	1	3	3	NUM
fumecheng-2694	177	2	linear	linear	ADJ
fumecheng-2694	177	3	dynamic	dynamic	ADJ
fumecheng-2694	177	4	behavior	behavior	NOUN
fumecheng-2694	177	5	of	of	ADP
fumecheng-2694	177	6	the	the	DET
fumecheng-2694	177	7	active	active	ADJ
fumecheng-2694	177	8	beam	beam	NOUN
fumecheng-2694	177	9	(	(	PUNCT
fumecheng-2694	177	10	1000	1000	NUM
fumecheng-2694	177	11	steps	step	NOUN
fumecheng-2694	177	12	)	)	PUNCT
fumecheng-2694	177	13	4.3	4.3	NUM
fumecheng-2694	177	14	.	.	PUNCT
fumecheng-2694	178	1	nonlinear	nonlinear	ADJ
fumecheng-2694	178	2	dynamic	dynamic	ADJ
fumecheng-2694	178	3	analysis	analysis	NOUN
fumecheng-2694	178	4	of	of	ADP
fumecheng-2694	178	5	a	a	DET
fumecheng-2694	178	6	two	two	NUM
fumecheng-2694	178	7	-	-	PUNCT
fumecheng-2694	178	8	edge	edge	NOUN
fumecheng-2694	178	9	-	-	PUNCT
fumecheng-2694	178	10	simply	simply	ADV
fumecheng-2694	178	11	-	-	PUNCT
fumecheng-2694	178	12	supported	support	VERB
fumecheng-2694	178	13	laminate	laminate	NOUN
fumecheng-2694	178	14	the	the	DET
fumecheng-2694	178	15	previous	previous	ADJ
fumecheng-2694	178	16	example	example	NOUN
fumecheng-2694	178	17	was	be	AUX
fumecheng-2694	178	18	computed	compute	VERB
fumecheng-2694	178	19	using	use	VERB
fumecheng-2694	178	20	the	the	DET
fumecheng-2694	178	21	assumption	assumption	NOUN
fumecheng-2694	178	22	of	of	ADP
fumecheng-2694	178	23	linearity	linearity	NOUN
fumecheng-2694	178	24	.	.	PUNCT
fumecheng-2694	179	1	hence	hence	ADV
fumecheng-2694	179	2	,	,	PUNCT
fumecheng-2694	179	3	the	the	DET
fumecheng-2694	179	4	structural	structural	ADJ
fumecheng-2694	179	5	stiffness	stiffness	NOUN
fumecheng-2694	179	6	and	and	CCONJ
fumecheng-2694	179	7	induced	induced	ADJ
fumecheng-2694	179	8	piezoelectric	piezoelectric	NOUN
fumecheng-2694	179	9	loads	load	NOUN
fumecheng-2694	179	10	were	be	AUX
fumecheng-2694	179	11	calculated	calculate	VERB
fumecheng-2694	179	12	using	use	VERB
fumecheng-2694	179	13	the	the	DET
fumecheng-2694	179	14	initial	initial	ADJ
fumecheng-2694	179	15	configuration	configuration	NOUN
fumecheng-2694	179	16	as	as	ADP
fumecheng-2694	179	17	a	a	DET
fumecheng-2694	179	18	reference	reference	NOUN
fumecheng-2694	179	19	configuration	configuration	NOUN
fumecheng-2694	179	20	.	.	PUNCT
fumecheng-2694	180	1	this	this	DET
fumecheng-2694	180	2	example	example	NOUN
fumecheng-2694	180	3	will	will	AUX
fumecheng-2694	180	4	be	be	AUX
fumecheng-2694	180	5	calculated	calculate	VERB
fumecheng-2694	180	6	using	use	VERB
fumecheng-2694	180	7	both	both	CCONJ
fumecheng-2694	180	8	the	the	DET
fumecheng-2694	180	9	assumption	assumption	NOUN
fumecheng-2694	180	10	of	of	ADP
fumecheng-2694	180	11	linearity	linearity	NOUN
fumecheng-2694	180	12	and	and	CCONJ
fumecheng-2694	180	13	a	a	DET
fumecheng-2694	180	14	geometrically	geometrically	ADV
fumecheng-2694	180	15	nonlinear	nonlinear	ADJ
fumecheng-2694	180	16	approach	approach	NOUN
fumecheng-2694	180	17	.	.	PUNCT
fumecheng-2694	181	1	the	the	DET
fumecheng-2694	181	2	geometry	geometry	NOUN
fumecheng-2694	181	3	of	of	ADP
fumecheng-2694	181	4	the	the	DET
fumecheng-2694	181	5	laminate	laminate	ADJ
fumecheng-2694	181	6	composite	composite	ADJ
fumecheng-2694	181	7	plate	plate	NOUN
fumecheng-2694	181	8	simply	simply	ADV
fumecheng-2694	181	9	supported	support	VERB
fumecheng-2694	181	10	over	over	ADP
fumecheng-2694	181	11	two	two	NUM
fumecheng-2694	181	12	shorter	short	ADJ
fumecheng-2694	181	13	parallel	parallel	ADJ
fumecheng-2694	181	14	edges	edge	NOUN
fumecheng-2694	181	15	is	be	AUX
fumecheng-2694	181	16	shown	show	VERB
fumecheng-2694	181	17	in	in	ADP
fumecheng-2694	181	18	fig	fig	NOUN
fumecheng-2694	181	19	.	.	PUNCT
fumecheng-2694	182	1	5	5	X
fumecheng-2694	182	2	.	.	X
fumecheng-2694	182	3	the	the	DET
fumecheng-2694	182	4	laminate	laminate	NOUN
fumecheng-2694	182	5	consists	consist	VERB
fumecheng-2694	182	6	of	of	ADP
fumecheng-2694	182	7	three	three	NUM
fumecheng-2694	182	8	layers	layer	NOUN
fumecheng-2694	182	9	.	.	PUNCT
fumecheng-2694	183	1	the	the	DET
fumecheng-2694	183	2	aluminum	aluminum	ADJ
fumecheng-2694	183	3	mid	mid	NOUN
fumecheng-2694	183	4	-	-	NOUN
fumecheng-2694	183	5	layer	layer	NOUN
fumecheng-2694	183	6	is	be	AUX
fumecheng-2694	183	7	0.5	0.5	NUM
fumecheng-2694	183	8	mm	mm	NOUN
fumecheng-2694	183	9	thick	thick	ADJ
fumecheng-2694	183	10	and	and	CCONJ
fumecheng-2694	183	11	each	each	DET
fumecheng-2694	183	12	outer	outer	ADJ
fumecheng-2694	183	13	ptz-4	ptz-4	NOUN
fumecheng-2694	183	14	layer	layer	NOUN
fumecheng-2694	183	15	has	have	VERB
fumecheng-2694	183	16	a	a	DET
fumecheng-2694	183	17	thickness	thickness	NOUN
fumecheng-2694	183	18	of	of	ADP
fumecheng-2694	183	19	0.25	0.25	NUM
fumecheng-2694	183	20	mm	mm	NOUN
fumecheng-2694	183	21	.	.	PUNCT
fumecheng-2694	183	22	fig	fig	NOUN
fumecheng-2694	183	23	.	.	PUNCT
fumecheng-2694	184	1	5	5	NUM
fumecheng-2694	184	2	geometry	geometry	NOUN
fumecheng-2694	184	3	of	of	ADP
fumecheng-2694	184	4	the	the	DET
fumecheng-2694	184	5	two	two	NUM
fumecheng-2694	184	6	-	-	PUNCT
fumecheng-2694	184	7	edge	edge	NOUN
fumecheng-2694	184	8	-	-	PUNCT
fumecheng-2694	184	9	simply	simply	ADV
fumecheng-2694	184	10	-	-	PUNCT
fumecheng-2694	184	11	supported	support	VERB
fumecheng-2694	184	12	structure	structure	NOUN
fumecheng-2694	184	13	the	the	DET
fumecheng-2694	184	14	same	same	ADJ
fumecheng-2694	184	15	type	type	NOUN
fumecheng-2694	184	16	of	of	ADP
fumecheng-2694	184	17	excitation	excitation	NOUN
fumecheng-2694	184	18	from	from	ADP
fumecheng-2694	184	19	the	the	DET
fumecheng-2694	184	20	previous	previous	ADJ
fumecheng-2694	184	21	case	case	NOUN
fumecheng-2694	184	22	is	be	AUX
fumecheng-2694	184	23	used	use	VERB
fumecheng-2694	184	24	here	here	ADV
fumecheng-2694	184	25	as	as	ADV
fumecheng-2694	184	26	well	well	ADV
fumecheng-2694	184	27	.	.	PUNCT
fumecheng-2694	185	1	it	it	PRON
fumecheng-2694	185	2	is	be	AUX
fumecheng-2694	185	3	the	the	DET
fumecheng-2694	185	4	timevariable	timevariable	ADJ
fumecheng-2694	185	5	electric	electric	ADJ
fumecheng-2694	185	6	voltage	voltage	NOUN
fumecheng-2694	185	7	with	with	ADP
fumecheng-2694	185	8	amplitude	amplitude	NOUN
fumecheng-2694	185	9	of	of	ADP
fumecheng-2694	185	10	100	100	NUM
fumecheng-2694	185	11	v	v	NOUN
fumecheng-2694	185	12	and	and	CCONJ
fumecheng-2694	185	13	frequency	frequency	NOUN
fumecheng-2694	185	14	of	of	ADP
fumecheng-2694	185	15	100	100	NUM
fumecheng-2694	185	16	hz	hz	NOUN
fumecheng-2694	185	17	.	.	PUNCT
fumecheng-2694	186	1	the	the	DET
fumecheng-2694	186	2	response	response	NOUN
fumecheng-2694	186	3	of	of	ADP
fumecheng-2694	186	4	the	the	DET
fumecheng-2694	186	5	structure	structure	NOUN
fumecheng-2694	186	6	is	be	AUX
fumecheng-2694	186	7	computed	compute	VERB
fumecheng-2694	186	8	for	for	ADP
fumecheng-2694	186	9	a	a	DET
fumecheng-2694	186	10	time	time	NOUN
fumecheng-2694	186	11	interval	interval	NOUN
fumecheng-2694	186	12	of	of	ADP
fumecheng-2694	186	13	0.1	0.1	NUM
fumecheng-2694	186	14	s	s	NOUN
fumecheng-2694	186	15	with	with	ADP
fumecheng-2694	186	16	a	a	DET
fumecheng-2694	186	17	constant	constant	ADJ
fumecheng-2694	186	18	time	time	NOUN
fumecheng-2694	186	19	-	-	PUNCT
fumecheng-2694	186	20	step	step	NOUN
fumecheng-2694	186	21	of	of	ADP
fumecheng-2694	186	22	0.0001	0.0001	NUM
fumecheng-2694	186	23	s	s	NOUN
fumecheng-2694	186	24	using	use	VERB
fumecheng-2694	186	25	the	the	DET
fumecheng-2694	186	26	newmark	newmark	PROPN
fumecheng-2694	186	27	scheme	scheme	NOUN
fumecheng-2694	186	28	.	.	PUNCT
fumecheng-2694	187	1	the	the	DET
fumecheng-2694	187	2	comparison	comparison	NOUN
fumecheng-2694	187	3	between	between	ADP
fumecheng-2694	187	4	linear	linear	PROPN
fumecheng-2694	187	5	and	and	CCONJ
fumecheng-2694	187	6	nonlinear	nonlinear	ADJ
fumecheng-2694	187	7	dynamic	dynamic	ADJ
fumecheng-2694	187	8	response	response	NOUN
fumecheng-2694	187	9	is	be	AUX
fumecheng-2694	187	10	obvious	obvious	ADJ
fumecheng-2694	187	11	in	in	ADP
fumecheng-2694	187	12	fig	fig	NOUN
fumecheng-2694	187	13	.	.	PUNCT
fumecheng-2694	188	1	6	6	NUM
fumecheng-2694	188	2	.	.	X
fumecheng-2694	188	3	it	it	PRON
fumecheng-2694	188	4	shows	show	VERB
fumecheng-2694	188	5	that	that	SCONJ
fumecheng-2694	188	6	,	,	PUNCT
fumecheng-2694	188	7	even	even	ADV
fumecheng-2694	188	8	in	in	ADP
fumecheng-2694	188	9	the	the	DET
fumecheng-2694	188	10	range	range	NOUN
fumecheng-2694	188	11	of	of	ADP
fumecheng-2694	188	12	relatively	relatively	ADV
fumecheng-2694	188	13	small	small	ADJ
fumecheng-2694	188	14	deformations	deformation	NOUN
fumecheng-2694	188	15	,	,	PUNCT
fumecheng-2694	188	16	the	the	DET
fumecheng-2694	188	17	linear	linear	NOUN
fumecheng-2694	188	18	and	and	CCONJ
fumecheng-2694	188	19	the	the	DET
fumecheng-2694	188	20	geometrically	geometrically	ADV
fumecheng-2694	188	21	nonlinear	nonlinear	ADJ
fumecheng-2694	188	22	response	response	NOUN
fumecheng-2694	188	23	could	could	AUX
fumecheng-2694	188	24	differ	differ	VERB
fumecheng-2694	188	25	significantly	significantly	ADV
fumecheng-2694	188	26	.	.	PUNCT
fumecheng-2694	189	1	such	such	DET
fumecheng-2694	189	2	a	a	DET
fumecheng-2694	189	3	result	result	NOUN
fumecheng-2694	189	4	emphasizes	emphasize	VERB
fumecheng-2694	189	5	the	the	DET
fumecheng-2694	189	6	a	a	DET
fumecheng-2694	189	7	3	3	NUM
fumecheng-2694	189	8	-	-	PUNCT
fumecheng-2694	189	9	node	node	ADJ
fumecheng-2694	189	10	piezoelectric	piezoelectric	NOUN
fumecheng-2694	189	11	shell	shell	NOUN
fumecheng-2694	189	12	element	element	NOUN
fumecheng-2694	189	13	for	for	ADP
fumecheng-2694	189	14	linear	linear	PROPN
fumecheng-2694	189	15	and	and	CCONJ
fumecheng-2694	189	16	geometrically	geometrically	ADV
fumecheng-2694	189	17	nonlinear	nonlinear	ADJ
fumecheng-2694	189	18	dynamic	dynamic	ADJ
fumecheng-2694	189	19	analysis	analysis	NOUN
fumecheng-2694	189	20	...	...	PUNCT
fumecheng-2694	189	21	39	39	NUM
fumecheng-2694	189	22	necessity	necessity	NOUN
fumecheng-2694	189	23	of	of	ADP
fumecheng-2694	189	24	taking	take	VERB
fumecheng-2694	189	25	into	into	ADP
fumecheng-2694	189	26	account	account	NOUN
fumecheng-2694	189	27	nonlinear	nonlinear	ADJ
fumecheng-2694	189	28	effects	effect	NOUN
fumecheng-2694	189	29	.	.	PUNCT
fumecheng-2694	190	1	the	the	DET
fumecheng-2694	190	2	geometrically	geometrically	ADV
fumecheng-2694	190	3	nonlinear	nonlinear	ADJ
fumecheng-2694	190	4	computation	computation	NOUN
fumecheng-2694	190	5	is	be	AUX
fumecheng-2694	190	6	verified	verify	VERB
fumecheng-2694	190	7	by	by	ADP
fumecheng-2694	190	8	means	mean	NOUN
fumecheng-2694	190	9	of	of	ADP
fumecheng-2694	190	10	abaqus	abaqus	NOUN
fumecheng-2694	190	11	.	.	PUNCT
fumecheng-2694	191	1	as	as	SCONJ
fumecheng-2694	191	2	already	already	ADV
fumecheng-2694	191	3	mentioned	mention	VERB
fumecheng-2694	191	4	in	in	ADP
fumecheng-2694	191	5	the	the	DET
fumecheng-2694	191	6	previous	previous	ADJ
fumecheng-2694	191	7	example	example	NOUN
fumecheng-2694	191	8	,	,	PUNCT
fumecheng-2694	191	9	the	the	DET
fumecheng-2694	191	10	equivalent	equivalent	ADJ
fumecheng-2694	191	11	mechanical	mechanical	ADJ
fumecheng-2694	191	12	excitation	excitation	NOUN
fumecheng-2694	191	13	is	be	AUX
fumecheng-2694	191	14	first	first	ADJ
fumecheng-2694	191	15	pre	pre	ADJ
fumecheng-2694	191	16	-	-	VERB
fumecheng-2694	191	17	computed	computed	ADJ
fumecheng-2694	191	18	and	and	CCONJ
fumecheng-2694	191	19	then	then	ADV
fumecheng-2694	191	20	directly	directly	ADV
fumecheng-2694	191	21	applied	apply	VERB
fumecheng-2694	191	22	in	in	ADP
fumecheng-2694	191	23	abaqus	abaqus	NOUN
fumecheng-2694	191	24	.	.	PUNCT
fumecheng-2694	192	1	it	it	PRON
fumecheng-2694	192	2	should	should	AUX
fumecheng-2694	192	3	be	be	AUX
fumecheng-2694	192	4	emphasized	emphasize	VERB
fumecheng-2694	192	5	that	that	SCONJ
fumecheng-2694	192	6	the	the	DET
fumecheng-2694	192	7	induced	induced	ADJ
fumecheng-2694	192	8	bending	bend	VERB
fumecheng-2694	192	9	moments	moment	NOUN
fumecheng-2694	192	10	are	be	AUX
fumecheng-2694	192	11	of	of	ADP
fumecheng-2694	192	12	the	the	DET
fumecheng-2694	192	13	follower	follower	NOUN
fumecheng-2694	192	14	type	type	NOUN
fumecheng-2694	192	15	as	as	SCONJ
fumecheng-2694	192	16	their	their	PRON
fumecheng-2694	192	17	orientation	orientation	NOUN
fumecheng-2694	192	18	depends	depend	VERB
fumecheng-2694	192	19	on	on	ADP
fumecheng-2694	192	20	the	the	DET
fumecheng-2694	192	21	current	current	ADJ
fumecheng-2694	192	22	structural	structural	ADJ
fumecheng-2694	192	23	configuration	configuration	NOUN
fumecheng-2694	192	24	,	,	PUNCT
fumecheng-2694	192	25	and	and	CCONJ
fumecheng-2694	192	26	this	this	PRON
fumecheng-2694	192	27	is	be	AUX
fumecheng-2694	192	28	how	how	SCONJ
fumecheng-2694	192	29	they	they	PRON
fumecheng-2694	192	30	are	be	AUX
fumecheng-2694	192	31	defined	define	VERB
fumecheng-2694	192	32	in	in	ADP
fumecheng-2694	192	33	abaqus	abaqus	NOUN
fumecheng-2694	192	34	(	(	PUNCT
fumecheng-2694	192	35	the	the	DET
fumecheng-2694	192	36	option	option	NOUN
fumecheng-2694	192	37	‘	'	PUNCT
fumecheng-2694	192	38	follow	follow	VERB
fumecheng-2694	192	39	nodal	nodal	NOUN
fumecheng-2694	192	40	rotation	rotation	NOUN
fumecheng-2694	192	41	’	'	PUNCT
fumecheng-2694	192	42	was	be	AUX
fumecheng-2694	192	43	used	use	VERB
fumecheng-2694	192	44	)	)	PUNCT
fumecheng-2694	192	45	.	.	PUNCT
fumecheng-2694	193	1	again	again	ADV
fumecheng-2694	193	2	,	,	PUNCT
fumecheng-2694	193	3	observing	observe	VERB
fumecheng-2694	193	4	the	the	DET
fumecheng-2694	193	5	structure	structure	NOUN
fumecheng-2694	193	6	’s	’s	PART
fumecheng-2694	193	7	mid	mid	ADJ
fumecheng-2694	193	8	-	-	ADJ
fumecheng-2694	193	9	point	point	NOUN
fumecheng-2694	193	10	deflection	deflection	NOUN
fumecheng-2694	193	11	,	,	PUNCT
fumecheng-2694	193	12	practically	practically	ADV
fumecheng-2694	193	13	congruent	congruent	ADJ
fumecheng-2694	193	14	geometrically	geometrically	ADV
fumecheng-2694	193	15	nonlinear	nonlinear	ADJ
fumecheng-2694	193	16	results	result	NOUN
fumecheng-2694	193	17	obtained	obtain	VERB
fumecheng-2694	193	18	by	by	ADP
fumecheng-2694	193	19	means	mean	NOUN
fumecheng-2694	193	20	of	of	ADP
fumecheng-2694	193	21	the	the	DET
fumecheng-2694	193	22	developed	develop	VERB
fumecheng-2694	193	23	element	element	NOUN
fumecheng-2694	193	24	and	and	CCONJ
fumecheng-2694	193	25	in	in	ADP
fumecheng-2694	193	26	abaqus	abaqus	NOUN
fumecheng-2694	193	27	can	can	AUX
fumecheng-2694	193	28	be	be	AUX
fumecheng-2694	193	29	seen	see	VERB
fumecheng-2694	193	30	in	in	ADP
fumecheng-2694	193	31	fig	fig	NOUN
fumecheng-2694	193	32	.	.	PUNCT
fumecheng-2694	194	1	6	6	NUM
fumecheng-2694	194	2	.	.	X
fumecheng-2694	194	3	fig	fig	NOUN
fumecheng-2694	194	4	.	.	PUNCT
fumecheng-2694	195	1	6	6	NUM
fumecheng-2694	195	2	two	two	NUM
fumecheng-2694	195	3	-	-	PUNCT
fumecheng-2694	195	4	edge	edge	NOUN
fumecheng-2694	195	5	-	-	PUNCT
fumecheng-2694	195	6	simply	simply	ADV
fumecheng-2694	195	7	supported	support	VERB
fumecheng-2694	195	8	structure	structure	NOUN
fumecheng-2694	195	9	under	under	ADP
fumecheng-2694	195	10	harmonic	harmonic	ADJ
fumecheng-2694	195	11	excitation	excitation	NOUN
fumecheng-2694	195	12	4.4	4.4	NUM
fumecheng-2694	195	13	.	.	PUNCT
fumecheng-2694	196	1	clamped	clamp	VERB
fumecheng-2694	196	2	piezoelectric	piezoelectric	ADJ
fumecheng-2694	196	3	plate	plate	NOUN
fumecheng-2694	196	4	(	(	PUNCT
fumecheng-2694	196	5	linear	linear	ADJ
fumecheng-2694	196	6	dynamic	dynamic	ADJ
fumecheng-2694	196	7	sensor	sensor	NOUN
fumecheng-2694	196	8	case	case	NOUN
fumecheng-2694	196	9	)	)	PUNCT
fumecheng-2694	196	10	a	a	DET
fumecheng-2694	196	11	composite	composite	ADJ
fumecheng-2694	196	12	plate	plate	NOUN
fumecheng-2694	196	13	clamped	clamp	VERB
fumecheng-2694	196	14	over	over	ADP
fumecheng-2694	196	15	one	one	NUM
fumecheng-2694	196	16	edge	edge	NOUN
fumecheng-2694	196	17	is	be	AUX
fumecheng-2694	196	18	considered	consider	VERB
fumecheng-2694	196	19	next	next	ADV
fumecheng-2694	196	20	.	.	PUNCT
fumecheng-2694	197	1	the	the	DET
fumecheng-2694	197	2	plate	plate	NOUN
fumecheng-2694	197	3	geometry	geometry	NOUN
fumecheng-2694	197	4	is	be	AUX
fumecheng-2694	197	5	shown	show	VERB
fumecheng-2694	197	6	in	in	ADP
fumecheng-2694	197	7	fig	fig	NOUN
fumecheng-2694	197	8	7	7	NUM
fumecheng-2694	197	9	.	.	PUNCT
fumecheng-2694	198	1	the	the	DET
fumecheng-2694	198	2	composite	composite	ADJ
fumecheng-2694	198	3	consists	consist	VERB
fumecheng-2694	198	4	of	of	ADP
fumecheng-2694	198	5	six	six	NUM
fumecheng-2694	198	6	layers	layer	NOUN
fumecheng-2694	198	7	.	.	PUNCT
fumecheng-2694	199	1	the	the	DET
fumecheng-2694	199	2	outer	outer	ADJ
fumecheng-2694	199	3	two	two	NUM
fumecheng-2694	199	4	are	be	AUX
fumecheng-2694	199	5	oppositely	oppositely	ADV
fumecheng-2694	199	6	polarized	polarize	VERB
fumecheng-2694	199	7	ptz	ptz	PROPN
fumecheng-2694	199	8	layers	layer	NOUN
fumecheng-2694	199	9	and	and	CCONJ
fumecheng-2694	199	10	the	the	DET
fumecheng-2694	199	11	remaining	remain	VERB
fumecheng-2694	199	12	four	four	NUM
fumecheng-2694	199	13	are	be	AUX
fumecheng-2694	199	14	t300/976	t300/976	NOUN
fumecheng-2694	199	15	plies	ply	NOUN
fumecheng-2694	199	16	.	.	PUNCT
fumecheng-2694	200	1	each	each	DET
fumecheng-2694	200	2	t300/976	t300/976	NOUN
fumecheng-2694	200	3	layer	layer	NOUN
fumecheng-2694	200	4	has	have	VERB
fumecheng-2694	200	5	a	a	DET
fumecheng-2694	200	6	thickness	thickness	NOUN
fumecheng-2694	200	7	of	of	ADP
fumecheng-2694	200	8	0.25	0.25	NUM
fumecheng-2694	200	9	mm	mm	NOUN
fumecheng-2694	200	10	and	and	CCONJ
fumecheng-2694	200	11	each	each	DET
fumecheng-2694	200	12	ptz	ptz	PROPN
fumecheng-2694	200	13	layer	layer	NOUN
fumecheng-2694	200	14	is	be	AUX
fumecheng-2694	200	15	0.1	0.1	NUM
fumecheng-2694	200	16	mm	mm	NOUN
fumecheng-2694	200	17	thick	thick	ADJ
fumecheng-2694	200	18	.	.	PUNCT
fumecheng-2694	201	1	the	the	DET
fumecheng-2694	201	2	antisymmetric	antisymmetric	ADJ
fumecheng-2694	201	3	composite	composite	ADJ
fumecheng-2694	201	4	stacking	stacking	NOUN
fumecheng-2694	201	5	sequence	sequence	NOUN
fumecheng-2694	201	6	is	be	AUX
fumecheng-2694	201	7	[	[	X
fumecheng-2694	201	8	p/-45	p/-45	NOUN
fumecheng-2694	201	9	°	°	NOUN
fumecheng-2694	201	10	/45	/45	NOUN
fumecheng-2694	201	11	°	°	NOUN
fumecheng-2694	201	12	/-45	/-45	NOUN
fumecheng-2694	201	13	°	°	NOUN
fumecheng-2694	201	14	/45	/45	NOUN
fumecheng-2694	201	15	°	°	NOUN
fumecheng-2694	201	16	/p	/p	SYM
fumecheng-2694	201	17	]	]	X
fumecheng-2694	201	18	with	with	ADP
fumecheng-2694	201	19	respect	respect	NOUN
fumecheng-2694	201	20	to	to	ADP
fumecheng-2694	201	21	the	the	DET
fumecheng-2694	201	22	global	global	ADJ
fumecheng-2694	201	23	x	x	NOUN
fumecheng-2694	201	24	-	-	NOUN
fumecheng-2694	201	25	axis	axis	ADJ
fumecheng-2694	201	26	.	.	PUNCT
fumecheng-2694	202	1	this	this	DET
fumecheng-2694	202	2	structure	structure	NOUN
fumecheng-2694	202	3	has	have	AUX
fumecheng-2694	202	4	been	be	AUX
fumecheng-2694	202	5	already	already	ADV
fumecheng-2694	202	6	considered	consider	VERB
fumecheng-2694	202	7	in	in	ADP
fumecheng-2694	202	8	the	the	DET
fumecheng-2694	202	9	available	available	ADJ
fumecheng-2694	202	10	literature	literature	NOUN
fumecheng-2694	202	11	[	[	X
fumecheng-2694	202	12	27	27	NUM
fumecheng-2694	202	13	,	,	PUNCT
fumecheng-2694	202	14	28	28	NUM
fumecheng-2694	202	15	]	]	PUNCT
fumecheng-2694	202	16	as	as	ADP
fumecheng-2694	202	17	a	a	DET
fumecheng-2694	202	18	static	static	ADJ
fumecheng-2694	202	19	linear	linear	ADJ
fumecheng-2694	202	20	actuator	actuator	NOUN
fumecheng-2694	202	21	case	case	NOUN
fumecheng-2694	202	22	.	.	PUNCT
fumecheng-2694	203	1	for	for	ADP
fumecheng-2694	203	2	this	this	DET
fumecheng-2694	203	3	reason	reason	NOUN
fumecheng-2694	203	4	,	,	PUNCT
fumecheng-2694	203	5	the	the	DET
fumecheng-2694	203	6	exact	exact	ADJ
fumecheng-2694	203	7	same	same	ADJ
fumecheng-2694	203	8	static	static	ADJ
fumecheng-2694	203	9	case	case	NOUN
fumecheng-2694	203	10	will	will	AUX
fumecheng-2694	203	11	be	be	AUX
fumecheng-2694	203	12	computed	compute	VERB
fumecheng-2694	203	13	here	here	ADV
fumecheng-2694	203	14	first	first	ADV
fumecheng-2694	203	15	.	.	PUNCT
fumecheng-2694	204	1	after	after	ADP
fumecheng-2694	204	2	that	that	PRON
fumecheng-2694	204	3	,	,	PUNCT
fumecheng-2694	204	4	a	a	DET
fumecheng-2694	204	5	dynamic	dynamic	ADJ
fumecheng-2694	204	6	sensor	sensor	NOUN
fumecheng-2694	204	7	case	case	NOUN
fumecheng-2694	204	8	will	will	AUX
fumecheng-2694	204	9	be	be	AUX
fumecheng-2694	204	10	addressed	address	VERB
fumecheng-2694	204	11	.	.	PUNCT
fumecheng-2694	205	1	in	in	ADP
fumecheng-2694	205	2	the	the	DET
fumecheng-2694	205	3	linear	linear	ADJ
fumecheng-2694	205	4	static	static	ADJ
fumecheng-2694	205	5	case	case	NOUN
fumecheng-2694	205	6	a	a	DET
fumecheng-2694	205	7	uniform	uniform	ADJ
fumecheng-2694	205	8	surface	surface	NOUN
fumecheng-2694	205	9	load	load	NOUN
fumecheng-2694	205	10	p	p	NOUN
fumecheng-2694	205	11	=	=	NOUN
fumecheng-2694	205	12	100	100	NUM
fumecheng-2694	205	13	n	n	CCONJ
fumecheng-2694	205	14	/	/	SYM
fumecheng-2694	205	15	m²	m²	NOUN
fumecheng-2694	205	16	acts	act	VERB
fumecheng-2694	205	17	upon	upon	SCONJ
fumecheng-2694	205	18	the	the	DET
fumecheng-2694	205	19	plate	plate	NOUN
fumecheng-2694	205	20	.	.	PUNCT
fumecheng-2694	206	1	both	both	DET
fumecheng-2694	206	2	ptz	ptz	PROPN
fumecheng-2694	206	3	layers	layer	NOUN
fumecheng-2694	206	4	are	be	AUX
fumecheng-2694	206	5	used	use	VERB
fumecheng-2694	206	6	as	as	SCONJ
fumecheng-2694	206	7	actuators	actuator	NOUN
fumecheng-2694	206	8	subjected	subject	VERB
fumecheng-2694	206	9	to	to	ADP
fumecheng-2694	206	10	three	three	NUM
fumecheng-2694	206	11	different	different	ADJ
fumecheng-2694	206	12	voltages	voltage	NOUN
fumecheng-2694	206	13	:	:	PUNCT
fumecheng-2694	206	14	0	0	NUM
fumecheng-2694	206	15	v	v	NOUN
fumecheng-2694	206	16	,	,	PUNCT
fumecheng-2694	206	17	30	30	NUM
fumecheng-2694	206	18	v	v	NOUN
fumecheng-2694	206	19	and	and	CCONJ
fumecheng-2694	206	20	50	50	NUM
fumecheng-2694	206	21	v.	v.	ADP
fumecheng-2694	206	22	fig	fig	NOUN
fumecheng-2694	206	23	.	.	PUNCT
fumecheng-2694	207	1	7	7	NUM
fumecheng-2694	207	2	clamped	clamp	VERB
fumecheng-2694	207	3	piezoelectric	piezoelectric	NOUN
fumecheng-2694	207	4	plate	plate	NOUN
fumecheng-2694	207	5	subjected	subject	VERB
fumecheng-2694	207	6	to	to	ADP
fumecheng-2694	207	7	uniform	uniform	ADJ
fumecheng-2694	207	8	surface	surface	NOUN
fumecheng-2694	207	9	load	load	NOUN
fumecheng-2694	207	10	40	40	NUM
fumecheng-2694	207	11	g.	g.	PROPN
fumecheng-2694	207	12	rama	rama	PROPN
fumecheng-2694	207	13	the	the	DET
fumecheng-2694	207	14	shape	shape	NOUN
fumecheng-2694	207	15	of	of	ADP
fumecheng-2694	207	16	the	the	DET
fumecheng-2694	207	17	plate	plate	NOUN
fumecheng-2694	207	18	centerline	centerline	NOUN
fumecheng-2694	207	19	is	be	AUX
fumecheng-2694	207	20	computed	compute	VERB
fumecheng-2694	207	21	using	use	VERB
fumecheng-2694	207	22	a	a	DET
fumecheng-2694	207	23	mesh	mesh	NOUN
fumecheng-2694	207	24	of	of	ADP
fumecheng-2694	207	25	200	200	NUM
fumecheng-2694	207	26	elements	element	NOUN
fumecheng-2694	207	27	.	.	PUNCT
fumecheng-2694	208	1	the	the	DET
fumecheng-2694	208	2	comparison	comparison	NOUN
fumecheng-2694	208	3	between	between	ADP
fumecheng-2694	208	4	the	the	DET
fumecheng-2694	208	5	obtained	obtain	VERB
fumecheng-2694	208	6	results	result	NOUN
fumecheng-2694	208	7	and	and	CCONJ
fumecheng-2694	208	8	the	the	DET
fumecheng-2694	208	9	solutions	solution	NOUN
fumecheng-2694	208	10	of	of	ADP
fumecheng-2694	208	11	lam	lam	PROPN
fumecheng-2694	208	12	et	et	PROPN
fumecheng-2694	208	13	al	al	PROPN
fumecheng-2694	208	14	.	.	PUNCT
fumecheng-2694	209	1	[	[	X
fumecheng-2694	209	2	27	27	NUM
fumecheng-2694	209	3	]	]	PUNCT
fumecheng-2694	209	4	and	and	CCONJ
fumecheng-2694	209	5	zhang	zhang	PROPN
fumecheng-2694	210	1	[	[	X
fumecheng-2694	210	2	28	28	NUM
fumecheng-2694	210	3	]	]	PUNCT
fumecheng-2694	210	4	shows	show	VERB
fumecheng-2694	210	5	a	a	DET
fumecheng-2694	210	6	rather	rather	ADV
fumecheng-2694	210	7	good	good	ADJ
fumecheng-2694	210	8	agreement	agreement	NOUN
fumecheng-2694	210	9	.	.	PUNCT
fumecheng-2694	211	1	for	for	ADP
fumecheng-2694	211	2	the	the	DET
fumecheng-2694	211	3	sake	sake	NOUN
fumecheng-2694	211	4	of	of	ADP
fumecheng-2694	211	5	better	well	ADJ
fumecheng-2694	211	6	readability	readability	NOUN
fumecheng-2694	211	7	,	,	PUNCT
fumecheng-2694	211	8	only	only	ADV
fumecheng-2694	211	9	the	the	DET
fumecheng-2694	211	10	results	result	NOUN
fumecheng-2694	211	11	of	of	ADP
fumecheng-2694	211	12	lam	lam	PROPN
fumecheng-2694	211	13	et	et	PROPN
fumecheng-2694	211	14	al	al	PROPN
fumecheng-2694	211	15	.	.	PUNCT
fumecheng-2694	212	1	[	[	X
fumecheng-2694	212	2	27	27	NUM
fumecheng-2694	212	3	]	]	PUNCT
fumecheng-2694	212	4	and	and	CCONJ
fumecheng-2694	212	5	those	those	PRON
fumecheng-2694	212	6	obtained	obtain	VERB
fumecheng-2694	212	7	by	by	ADP
fumecheng-2694	212	8	the	the	DET
fumecheng-2694	212	9	present	present	ADJ
fumecheng-2694	212	10	formulation	formulation	NOUN
fumecheng-2694	212	11	are	be	AUX
fumecheng-2694	212	12	presented	present	VERB
fumecheng-2694	212	13	in	in	ADP
fumecheng-2694	212	14	fig	fig	NOUN
fumecheng-2694	212	15	.	.	PUNCT
fumecheng-2694	213	1	8	8	NUM
fumecheng-2694	213	2	.	.	X
fumecheng-2694	213	3	fig	fig	NOUN
fumecheng-2694	213	4	.	.	PUNCT
fumecheng-2694	214	1	8	8	NUM
fumecheng-2694	214	2	centerline	centerline	NOUN
fumecheng-2694	214	3	deflection	deflection	NOUN
fumecheng-2694	214	4	subjected	subject	VERB
fumecheng-2694	214	5	to	to	ADP
fumecheng-2694	214	6	uniform	uniform	ADJ
fumecheng-2694	214	7	load	load	NOUN
fumecheng-2694	214	8	and	and	CCONJ
fumecheng-2694	214	9	different	different	ADJ
fumecheng-2694	214	10	input	input	NOUN
fumecheng-2694	214	11	voltages	voltage	NOUN
fumecheng-2694	214	12	in	in	ADP
fumecheng-2694	214	13	the	the	DET
fumecheng-2694	214	14	linear	linear	ADJ
fumecheng-2694	214	15	dynamic	dynamic	ADJ
fumecheng-2694	214	16	analysis	analysis	NOUN
fumecheng-2694	214	17	,	,	PUNCT
fumecheng-2694	214	18	the	the	DET
fumecheng-2694	214	19	piezolayers	piezolayer	NOUN
fumecheng-2694	214	20	are	be	AUX
fumecheng-2694	214	21	used	use	VERB
fumecheng-2694	214	22	as	as	ADP
fumecheng-2694	214	23	sensors	sensor	NOUN
fumecheng-2694	214	24	and	and	CCONJ
fumecheng-2694	214	25	the	the	DET
fumecheng-2694	214	26	composite	composite	ADJ
fumecheng-2694	214	27	plate	plate	NOUN
fumecheng-2694	214	28	is	be	AUX
fumecheng-2694	214	29	subjected	subject	VERB
fumecheng-2694	214	30	to	to	PART
fumecheng-2694	214	31	harmonic	harmonic	VERB
fumecheng-2694	214	32	varying	vary	VERB
fumecheng-2694	214	33	concentrated	concentrated	ADJ
fumecheng-2694	214	34	force	force	NOUN
fumecheng-2694	214	35	.	.	PUNCT
fumecheng-2694	215	1	the	the	DET
fumecheng-2694	215	2	force	force	NOUN
fumecheng-2694	215	3	acts	act	VERB
fumecheng-2694	215	4	at	at	ADP
fumecheng-2694	215	5	point	point	NOUN
fumecheng-2694	215	6	a	a	DET
fumecheng-2694	215	7	(	(	PUNCT
fumecheng-2694	215	8	see	see	VERB
fumecheng-2694	215	9	fig	fig	NOUN
fumecheng-2694	215	10	.	.	PUNCT
fumecheng-2694	216	1	9	9	NUM
fumecheng-2694	216	2	)	)	PUNCT
fumecheng-2694	216	3	with	with	ADP
fumecheng-2694	216	4	an	an	DET
fumecheng-2694	216	5	amplitude	amplitude	NOUN
fumecheng-2694	216	6	of	of	ADP
fumecheng-2694	216	7	0.2	0.2	NUM
fumecheng-2694	216	8	n	n	NOUN
fumecheng-2694	216	9	and	and	CCONJ
fumecheng-2694	216	10	frequency	frequency	NOUN
fumecheng-2694	216	11	of	of	ADP
fumecheng-2694	216	12	1	1	NUM
fumecheng-2694	216	13	hz	hz	NOUN
fumecheng-2694	216	14	.	.	PUNCT
fumecheng-2694	217	1	the	the	DET
fumecheng-2694	217	2	induced	induced	ADJ
fumecheng-2694	217	3	sensor	sensor	NOUN
fumecheng-2694	217	4	voltage	voltage	NOUN
fumecheng-2694	217	5	of	of	ADP
fumecheng-2694	217	6	the	the	DET
fumecheng-2694	217	7	lower	low	ADJ
fumecheng-2694	217	8	layer	layer	NOUN
fumecheng-2694	217	9	is	be	AUX
fumecheng-2694	217	10	observed	observe	VERB
fumecheng-2694	217	11	in	in	ADP
fumecheng-2694	217	12	a	a	DET
fumecheng-2694	217	13	period	period	NOUN
fumecheng-2694	217	14	of	of	ADP
fumecheng-2694	217	15	4	4	NUM
fumecheng-2694	217	16	s	s	NOUN
fumecheng-2694	217	17	with	with	ADP
fumecheng-2694	217	18	a	a	DET
fumecheng-2694	217	19	time	time	NOUN
fumecheng-2694	217	20	-	-	PUNCT
fumecheng-2694	217	21	step	step	NOUN
fumecheng-2694	217	22	of	of	ADP
fumecheng-2694	217	23	0.005	0.005	NUM
fumecheng-2694	217	24	s	s	NOUN
fumecheng-2694	217	25	using	use	VERB
fumecheng-2694	217	26	the	the	DET
fumecheng-2694	217	27	newmark	newmark	NOUN
fumecheng-2694	217	28	scheme	scheme	NOUN
fumecheng-2694	217	29	and	and	CCONJ
fumecheng-2694	217	30	the	the	DET
fumecheng-2694	217	31	same	same	ADJ
fumecheng-2694	217	32	mesh	mesh	NOUN
fumecheng-2694	217	33	as	as	ADP
fumecheng-2694	217	34	in	in	ADP
fumecheng-2694	217	35	the	the	DET
fumecheng-2694	217	36	previous	previous	ADJ
fumecheng-2694	217	37	static	static	ADJ
fumecheng-2694	217	38	analysis	analysis	NOUN
fumecheng-2694	217	39	.	.	PUNCT
fumecheng-2694	218	1	fig	fig	NOUN
fumecheng-2694	218	2	.	.	PUNCT
fumecheng-2694	219	1	9	9	NUM
fumecheng-2694	219	2	clamped	clamp	VERB
fumecheng-2694	219	3	piezoelectric	piezoelectric	NOUN
fumecheng-2694	219	4	plate	plate	NOUN
fumecheng-2694	219	5	subjected	subject	VERB
fumecheng-2694	219	6	to	to	AUX
fumecheng-2694	219	7	harmonic	harmonic	VERB
fumecheng-2694	219	8	varying	vary	VERB
fumecheng-2694	219	9	concentrated	concentrated	ADJ
fumecheng-2694	219	10	force	force	NOUN
fumecheng-2694	219	11	zhang	zhang	PROPN
fumecheng-2694	219	12	et	et	PROPN
fumecheng-2694	219	13	al	al	PROPN
fumecheng-2694	219	14	.	.	PUNCT
fumecheng-2694	220	1	[	[	X
fumecheng-2694	220	2	29	29	NUM
fumecheng-2694	220	3	]	]	PUNCT
fumecheng-2694	220	4	studied	study	VERB
fumecheng-2694	220	5	this	this	DET
fumecheng-2694	220	6	example	example	NOUN
fumecheng-2694	220	7	using	use	VERB
fumecheng-2694	220	8	the	the	DET
fumecheng-2694	220	9	sh851uri	sh851uri	NOUN
fumecheng-2694	220	10	biquadratic	biquadratic	ADJ
fumecheng-2694	220	11	shell	shell	NOUN
fumecheng-2694	220	12	element	element	NOUN
fumecheng-2694	220	13	(	(	PUNCT
fumecheng-2694	220	14	uniformly	uniformly	ADV
fumecheng-2694	220	15	reduced	reduce	VERB
fumecheng-2694	220	16	integration	integration	NOUN
fumecheng-2694	220	17	)	)	PUNCT
fumecheng-2694	220	18	along	along	ADP
fumecheng-2694	220	19	with	with	ADP
fumecheng-2694	220	20	the	the	DET
fumecheng-2694	220	21	modal	modal	ADJ
fumecheng-2694	220	22	superposition	superposition	NOUN
fumecheng-2694	220	23	method	method	NOUN
fumecheng-2694	220	24	using	use	VERB
fumecheng-2694	220	25	the	the	DET
fumecheng-2694	220	26	first	first	ADJ
fumecheng-2694	220	27	12	12	NUM
fumecheng-2694	220	28	modes	mode	NOUN
fumecheng-2694	220	29	.	.	PUNCT
fumecheng-2694	221	1	fig	fig	NOUN
fumecheng-2694	221	2	.	.	PUNCT
fumecheng-2694	222	1	10	10	NUM
fumecheng-2694	222	2	shows	show	VERB
fumecheng-2694	222	3	a	a	DET
fumecheng-2694	222	4	good	good	ADJ
fumecheng-2694	222	5	agreement	agreement	NOUN
fumecheng-2694	222	6	in	in	ADP
fumecheng-2694	222	7	the	the	DET
fumecheng-2694	222	8	amplitude	amplitude	NOUN
fumecheng-2694	222	9	and	and	CCONJ
fumecheng-2694	222	10	frequency	frequency	NOUN
fumecheng-2694	222	11	of	of	ADP
fumecheng-2694	222	12	the	the	DET
fumecheng-2694	222	13	sensor	sensor	NOUN
fumecheng-2694	222	14	potential	potential	ADJ
fumecheng-2694	222	15	response	response	NOUN
fumecheng-2694	222	16	between	between	ADP
fumecheng-2694	222	17	the	the	DET
fumecheng-2694	222	18	current	current	ADJ
fumecheng-2694	222	19	formulation	formulation	NOUN
fumecheng-2694	222	20	and	and	CCONJ
fumecheng-2694	222	21	zhang	zhang	PROPN
fumecheng-2694	222	22	et	et	PROPN
fumecheng-2694	222	23	al	al	PROPN
fumecheng-2694	222	24	.	.	PUNCT
fumecheng-2694	223	1	[	[	X
fumecheng-2694	223	2	29	29	NUM
fumecheng-2694	223	3	]	]	PUNCT
fumecheng-2694	223	4	.	.	PUNCT
fumecheng-2694	224	1	the	the	DET
fumecheng-2694	224	2	minor	minor	ADJ
fumecheng-2694	224	3	local	local	ADJ
fumecheng-2694	224	4	differences	difference	NOUN
fumecheng-2694	224	5	are	be	AUX
fumecheng-2694	224	6	attributed	attribute	VERB
fumecheng-2694	224	7	to	to	ADP
fumecheng-2694	224	8	a	a	DET
fumecheng-2694	224	9	different	different	ADJ
fumecheng-2694	224	10	time	time	NOUN
fumecheng-2694	224	11	-	-	PUNCT
fumecheng-2694	224	12	step	step	NOUN
fumecheng-2694	224	13	(	(	PUNCT
fumecheng-2694	224	14	not	not	PART
fumecheng-2694	224	15	specified	specify	VERB
fumecheng-2694	224	16	in	in	ADP
fumecheng-2694	224	17	[	[	X
fumecheng-2694	224	18	29	29	NUM
fumecheng-2694	224	19	]	]	PUNCT
fumecheng-2694	224	20	)	)	PUNCT
fumecheng-2694	224	21	and	and	CCONJ
fumecheng-2694	224	22	a	a	DET
fumecheng-2694	224	23	different	different	ADJ
fumecheng-2694	224	24	damping	damp	VERB
fumecheng-2694	224	25	definition	definition	NOUN
fumecheng-2694	224	26	.	.	PUNCT
fumecheng-2694	225	1	a	a	DET
fumecheng-2694	225	2	3	3	NUM
fumecheng-2694	225	3	-	-	PUNCT
fumecheng-2694	225	4	node	node	ADJ
fumecheng-2694	225	5	piezoelectric	piezoelectric	NOUN
fumecheng-2694	225	6	shell	shell	NOUN
fumecheng-2694	225	7	element	element	NOUN
fumecheng-2694	225	8	for	for	ADP
fumecheng-2694	225	9	linear	linear	PROPN
fumecheng-2694	225	10	and	and	CCONJ
fumecheng-2694	225	11	geometrically	geometrically	ADV
fumecheng-2694	225	12	nonlinear	nonlinear	ADJ
fumecheng-2694	225	13	dynamic	dynamic	ADJ
fumecheng-2694	225	14	analysis	analysis	NOUN
fumecheng-2694	225	15	...	...	PUNCT
fumecheng-2694	225	16	41	41	NUM
fumecheng-2694	225	17	fig	fig	NOUN
fumecheng-2694	225	18	.	.	PUNCT
fumecheng-2694	226	1	10	10	NUM
fumecheng-2694	226	2	dynamic	dynamic	ADJ
fumecheng-2694	226	3	sensor	sensor	NOUN
fumecheng-2694	226	4	response	response	NOUN
fumecheng-2694	226	5	of	of	ADP
fumecheng-2694	226	6	piezoelectric	piezoelectric	ADJ
fumecheng-2694	226	7	plate	plate	NOUN
fumecheng-2694	226	8	under	under	ADP
fumecheng-2694	226	9	harmonic	harmonic	ADJ
fumecheng-2694	226	10	concentrate	concentrate	NOUN
fumecheng-2694	226	11	force	force	NOUN
fumecheng-2694	226	12	4.5	4.5	NUM
fumecheng-2694	226	13	.	.	PUNCT
fumecheng-2694	227	1	simply	simply	ADV
fumecheng-2694	227	2	supported	support	VERB
fumecheng-2694	227	3	piezoelectric	piezoelectric	ADJ
fumecheng-2694	227	4	plate	plate	NOUN
fumecheng-2694	227	5	(	(	PUNCT
fumecheng-2694	227	6	nonlinear	nonlinear	ADJ
fumecheng-2694	227	7	dynamic	dynamic	ADJ
fumecheng-2694	227	8	sensor	sensor	NOUN
fumecheng-2694	227	9	case	case	NOUN
fumecheng-2694	227	10	)	)	PUNCT
fumecheng-2694	227	11	the	the	DET
fumecheng-2694	227	12	next	next	ADJ
fumecheng-2694	227	13	example	example	NOUN
fumecheng-2694	227	14	illustrates	illustrate	VERB
fumecheng-2694	227	15	the	the	DET
fumecheng-2694	227	16	influence	influence	NOUN
fumecheng-2694	227	17	of	of	ADP
fumecheng-2694	227	18	geometrically	geometrically	ADV
fumecheng-2694	227	19	nonlinear	nonlinear	ADJ
fumecheng-2694	227	20	effects	effect	NOUN
fumecheng-2694	227	21	on	on	ADP
fumecheng-2694	227	22	the	the	DET
fumecheng-2694	227	23	dynamic	dynamic	ADJ
fumecheng-2694	227	24	sensor	sensor	NOUN
fumecheng-2694	227	25	response	response	NOUN
fumecheng-2694	227	26	when	when	SCONJ
fumecheng-2694	227	27	piezoelectric	piezoelectric	ADJ
fumecheng-2694	227	28	plate	plate	NOUN
fumecheng-2694	227	29	structures	structure	NOUN
fumecheng-2694	227	30	are	be	AUX
fumecheng-2694	227	31	considered	consider	VERB
fumecheng-2694	227	32	.	.	PUNCT
fumecheng-2694	228	1	fig	fig	NOUN
fumecheng-2694	228	2	.	.	PUNCT
fumecheng-2694	229	1	11	11	NUM
fumecheng-2694	229	2	shows	show	VERB
fumecheng-2694	229	3	the	the	DET
fumecheng-2694	229	4	plate	plate	NOUN
fumecheng-2694	229	5	geometry	geometry	NOUN
fumecheng-2694	229	6	together	together	ADV
fumecheng-2694	229	7	with	with	ADP
fumecheng-2694	229	8	the	the	DET
fumecheng-2694	229	9	boundary	boundary	ADJ
fumecheng-2694	229	10	conditions	condition	NOUN
fumecheng-2694	229	11	.	.	PUNCT
fumecheng-2694	230	1	the	the	DET
fumecheng-2694	230	2	laminate	laminate	NOUN
fumecheng-2694	230	3	consists	consist	VERB
fumecheng-2694	230	4	of	of	ADP
fumecheng-2694	230	5	three	three	NUM
fumecheng-2694	230	6	layers	layer	NOUN
fumecheng-2694	230	7	.	.	PUNCT
fumecheng-2694	231	1	the	the	DET
fumecheng-2694	231	2	outer	outer	ADJ
fumecheng-2694	231	3	two	two	NUM
fumecheng-2694	231	4	are	be	AUX
fumecheng-2694	231	5	oppositely	oppositely	ADV
fumecheng-2694	231	6	polarized	polarize	VERB
fumecheng-2694	231	7	piezoelectric	piezoelectric	ADJ
fumecheng-2694	231	8	ptz	ptz	X
fumecheng-2694	231	9	layers	layer	NOUN
fumecheng-2694	231	10	with	with	ADP
fumecheng-2694	231	11	a	a	DET
fumecheng-2694	231	12	thickness	thickness	NOUN
fumecheng-2694	231	13	of	of	ADP
fumecheng-2694	231	14	0.1	0.1	NUM
fumecheng-2694	231	15	mm	mm	NOUN
fumecheng-2694	231	16	,	,	PUNCT
fumecheng-2694	231	17	while	while	SCONJ
fumecheng-2694	231	18	the	the	DET
fumecheng-2694	231	19	mid	mid	NOUN
fumecheng-2694	231	20	-	-	NOUN
fumecheng-2694	231	21	layer	layer	NOUN
fumecheng-2694	231	22	is	be	AUX
fumecheng-2694	231	23	0.5	0.5	NUM
fumecheng-2694	231	24	mm	mm	NOUN
fumecheng-2694	231	25	thick	thick	NOUN
fumecheng-2694	231	26	and	and	CCONJ
fumecheng-2694	231	27	made	make	VERB
fumecheng-2694	231	28	of	of	ADP
fumecheng-2694	231	29	steel	steel	NOUN
fumecheng-2694	231	30	.	.	PUNCT
fumecheng-2694	232	1	the	the	DET
fumecheng-2694	232	2	plate	plate	NOUN
fumecheng-2694	232	3	is	be	AUX
fumecheng-2694	232	4	discretized	discretize	VERB
fumecheng-2694	232	5	so	so	SCONJ
fumecheng-2694	232	6	that	that	SCONJ
fumecheng-2694	232	7	the	the	DET
fumecheng-2694	232	8	fe	fe	PROPN
fumecheng-2694	232	9	mesh	mesh	NOUN
fumecheng-2694	232	10	consists	consist	VERB
fumecheng-2694	232	11	of	of	ADP
fumecheng-2694	232	12	512	512	NUM
fumecheng-2694	232	13	elements	element	NOUN
fumecheng-2694	232	14	.	.	PUNCT
fumecheng-2694	233	1	the	the	DET
fumecheng-2694	233	2	plate	plate	NOUN
fumecheng-2694	233	3	is	be	AUX
fumecheng-2694	233	4	subjected	subject	VERB
fumecheng-2694	233	5	to	to	ADP
fumecheng-2694	233	6	a	a	DET
fumecheng-2694	233	7	concentrated	concentrated	ADJ
fumecheng-2694	233	8	force	force	NOUN
fumecheng-2694	233	9	with	with	ADP
fumecheng-2694	233	10	periodic	periodic	ADJ
fumecheng-2694	233	11	time	time	NOUN
fumecheng-2694	233	12	dependent	dependent	ADJ
fumecheng-2694	233	13	amplitude	amplitude	NOUN
fumecheng-2694	233	14	(	(	PUNCT
fumecheng-2694	233	15	see	see	VERB
fumecheng-2694	233	16	fig	fig	NOUN
fumecheng-2694	233	17	.	.	PUNCT
fumecheng-2694	234	1	11	11	NUM
fumecheng-2694	234	2	)	)	PUNCT
fumecheng-2694	234	3	.	.	PUNCT
fumecheng-2694	235	1	the	the	DET
fumecheng-2694	235	2	vertical	vertical	ADJ
fumecheng-2694	235	3	displacement	displacement	NOUN
fumecheng-2694	235	4	of	of	ADP
fumecheng-2694	235	5	point	point	NOUN
fumecheng-2694	235	6	b	b	PROPN
fumecheng-2694	235	7	(	(	PUNCT
fumecheng-2694	235	8	see	see	VERB
fumecheng-2694	235	9	fig	fig	NOUN
fumecheng-2694	235	10	.	.	PUNCT
fumecheng-2694	236	1	10	10	NUM
fumecheng-2694	236	2	)	)	PUNCT
fumecheng-2694	237	1	and	and	CCONJ
fumecheng-2694	237	2	sensor	sensor	NOUN
fumecheng-2694	237	3	response	response	NOUN
fumecheng-2694	237	4	of	of	ADP
fumecheng-2694	237	5	the	the	DET
fumecheng-2694	237	6	upper	upper	ADJ
fumecheng-2694	237	7	(	(	PUNCT
fumecheng-2694	237	8	1	1	NUM
fumecheng-2694	237	9	)	)	PUNCT
fumecheng-2694	237	10	and	and	CCONJ
fumecheng-2694	237	11	lower	low	ADJ
fumecheng-2694	237	12	(	(	PUNCT
fumecheng-2694	237	13	2	2	NUM
fumecheng-2694	237	14	)	)	PUNCT
fumecheng-2694	237	15	layers	layer	NOUN
fumecheng-2694	237	16	is	be	AUX
fumecheng-2694	237	17	observed	observe	VERB
fumecheng-2694	237	18	in	in	ADP
fumecheng-2694	237	19	a	a	DET
fumecheng-2694	237	20	time	time	NOUN
fumecheng-2694	237	21	period	period	NOUN
fumecheng-2694	237	22	of	of	ADP
fumecheng-2694	237	23	0.2	0.2	NUM
fumecheng-2694	237	24	s	s	NOUN
fumecheng-2694	237	25	using	use	VERB
fumecheng-2694	237	26	a	a	DET
fumecheng-2694	237	27	time	time	NOUN
fumecheng-2694	237	28	-	-	PUNCT
fumecheng-2694	237	29	step	step	NOUN
fumecheng-2694	237	30	of	of	ADP
fumecheng-2694	237	31	0.005	0.005	NUM
fumecheng-2694	237	32	s.	s.	PROPN
fumecheng-2694	237	33	fig	fig	PROPN
fumecheng-2694	237	34	.	.	PUNCT
fumecheng-2694	238	1	11	11	NUM
fumecheng-2694	238	2	simply	simply	ADV
fumecheng-2694	238	3	supported	support	VERB
fumecheng-2694	238	4	piezoelectric	piezoelectric	ADJ
fumecheng-2694	238	5	plate	plate	NOUN
fumecheng-2694	238	6	geometry	geometry	NOUN
fumecheng-2694	238	7	in	in	ADP
fumecheng-2694	238	8	the	the	DET
fumecheng-2694	238	9	first	first	ADJ
fumecheng-2694	238	10	step	step	NOUN
fumecheng-2694	238	11	the	the	DET
fumecheng-2694	238	12	dynamic	dynamic	ADJ
fumecheng-2694	238	13	response	response	NOUN
fumecheng-2694	238	14	of	of	ADP
fumecheng-2694	238	15	the	the	DET
fumecheng-2694	238	16	structure	structure	NOUN
fumecheng-2694	238	17	is	be	AUX
fumecheng-2694	238	18	determined	determine	VERB
fumecheng-2694	238	19	with	with	ADP
fumecheng-2694	238	20	abaqus	abaqus	NOUN
fumecheng-2694	238	21	using	use	VERB
fumecheng-2694	238	22	the	the	DET
fumecheng-2694	238	23	same	same	ADJ
fumecheng-2694	238	24	mesh	mesh	NOUN
fumecheng-2694	238	25	and	and	CCONJ
fumecheng-2694	238	26	time	time	NOUN
fumecheng-2694	238	27	-	-	PUNCT
fumecheng-2694	238	28	step	step	NOUN
fumecheng-2694	238	29	.	.	PUNCT
fumecheng-2694	239	1	fig	fig	NOUN
fumecheng-2694	239	2	.	.	PUNCT
fumecheng-2694	240	1	12	12	NUM
fumecheng-2694	240	2	shows	show	VERB
fumecheng-2694	240	3	the	the	DET
fumecheng-2694	240	4	vertical	vertical	ADJ
fumecheng-2694	240	5	deflection	deflection	NOUN
fumecheng-2694	240	6	of	of	ADP
fumecheng-2694	240	7	point	point	NOUN
fumecheng-2694	240	8	b	b	NOUN
fumecheng-2694	240	9	computed	compute	VERB
fumecheng-2694	240	10	as	as	ADP
fumecheng-2694	240	11	linear	linear	ADJ
fumecheng-2694	240	12	and	and	CCONJ
fumecheng-2694	240	13	geometrically	geometrically	ADV
fumecheng-2694	240	14	nonlinear	nonlinear	ADJ
fumecheng-2694	240	15	dynamic	dynamic	ADJ
fumecheng-2694	240	16	response	response	NOUN
fumecheng-2694	240	17	.	.	PUNCT
fumecheng-2694	241	1	again	again	ADV
fumecheng-2694	241	2	,	,	PUNCT
fumecheng-2694	241	3	a	a	DET
fumecheng-2694	241	4	good	good	ADJ
fumecheng-2694	241	5	agreement	agreement	NOUN
fumecheng-2694	241	6	between	between	ADP
fumecheng-2694	241	7	the	the	DET
fumecheng-2694	241	8	results	result	NOUN
fumecheng-2694	241	9	from	from	ADP
fumecheng-2694	241	10	abaqus	abaqus	NOUN
fumecheng-2694	241	11	and	and	CCONJ
fumecheng-2694	241	12	the	the	DET
fumecheng-2694	241	13	present	present	ADJ
fumecheng-2694	241	14	formulation	formulation	NOUN
fumecheng-2694	241	15	can	can	AUX
fumecheng-2694	241	16	be	be	AUX
fumecheng-2694	241	17	noticed	notice	VERB
fumecheng-2694	241	18	.	.	PUNCT
fumecheng-2694	242	1	42	42	NUM
fumecheng-2694	242	2	g.	g.	PROPN
fumecheng-2694	242	3	rama	rama	PROPN
fumecheng-2694	242	4	fig	fig	PROPN
fumecheng-2694	242	5	.	.	PUNCT
fumecheng-2694	243	1	12	12	NUM
fumecheng-2694	243	2	vertical	vertical	ADJ
fumecheng-2694	243	3	deflection	deflection	NOUN
fumecheng-2694	243	4	of	of	ADP
fumecheng-2694	243	5	a	a	DET
fumecheng-2694	243	6	simply	simply	ADV
fumecheng-2694	243	7	supported	support	VERB
fumecheng-2694	243	8	piezoelectric	piezoelectric	ADJ
fumecheng-2694	243	9	plate	plate	NOUN
fumecheng-2694	243	10	under	under	ADP
fumecheng-2694	243	11	harmonic	harmonic	ADJ
fumecheng-2694	243	12	excitation	excitation	NOUN
fumecheng-2694	243	13	in	in	ADP
fumecheng-2694	243	14	the	the	DET
fumecheng-2694	243	15	second	second	ADJ
fumecheng-2694	243	16	step	step	NOUN
fumecheng-2694	243	17	,	,	PUNCT
fumecheng-2694	243	18	the	the	DET
fumecheng-2694	243	19	linear	linear	ADJ
fumecheng-2694	243	20	and	and	CCONJ
fumecheng-2694	243	21	nonlinear	nonlinear	ADJ
fumecheng-2694	243	22	sensor	sensor	NOUN
fumecheng-2694	243	23	voltage	voltage	NOUN
fumecheng-2694	243	24	response	response	NOUN
fumecheng-2694	243	25	is	be	AUX
fumecheng-2694	243	26	computed	compute	VERB
fumecheng-2694	243	27	for	for	ADP
fumecheng-2694	243	28	the	the	DET
fumecheng-2694	243	29	same	same	ADJ
fumecheng-2694	243	30	test	test	NOUN
fumecheng-2694	243	31	case	case	NOUN
fumecheng-2694	243	32	.	.	PUNCT
fumecheng-2694	244	1	the	the	DET
fumecheng-2694	244	2	obtained	obtain	VERB
fumecheng-2694	244	3	results	result	NOUN
fumecheng-2694	244	4	for	for	ADP
fumecheng-2694	244	5	the	the	DET
fumecheng-2694	244	6	upper	upper	ADJ
fumecheng-2694	244	7	(	(	PUNCT
fumecheng-2694	244	8	1	1	NUM
fumecheng-2694	244	9	)	)	PUNCT
fumecheng-2694	244	10	and	and	CCONJ
fumecheng-2694	244	11	lower	low	ADJ
fumecheng-2694	244	12	(	(	PUNCT
fumecheng-2694	244	13	2	2	NUM
fumecheng-2694	244	14	)	)	PUNCT
fumecheng-2694	244	15	piezoelectric	piezoelectric	NOUN
fumecheng-2694	244	16	layers	layer	NOUN
fumecheng-2694	244	17	are	be	AUX
fumecheng-2694	244	18	presented	present	VERB
fumecheng-2694	244	19	in	in	ADP
fumecheng-2694	244	20	fig	fig	NOUN
fumecheng-2694	244	21	.	.	PUNCT
fumecheng-2694	245	1	13	13	NUM
fumecheng-2694	245	2	.	.	PUNCT
fumecheng-2694	246	1	in	in	ADP
fumecheng-2694	246	2	the	the	DET
fumecheng-2694	246	3	linear	linear	ADJ
fumecheng-2694	246	4	analysis	analysis	NOUN
fumecheng-2694	246	5	,	,	PUNCT
fumecheng-2694	246	6	the	the	DET
fumecheng-2694	246	7	stiffness	stiffness	ADJ
fumecheng-2694	246	8	matrix	matrix	NOUN
fumecheng-2694	246	9	is	be	AUX
fumecheng-2694	246	10	determined	determine	VERB
fumecheng-2694	246	11	for	for	ADP
fumecheng-2694	246	12	the	the	DET
fumecheng-2694	246	13	initial	initial	ADJ
fumecheng-2694	246	14	configuration	configuration	NOUN
fumecheng-2694	246	15	and	and	CCONJ
fumecheng-2694	246	16	the	the	DET
fumecheng-2694	246	17	mechanical	mechanical	ADJ
fumecheng-2694	246	18	excitation	excitation	NOUN
fumecheng-2694	246	19	leads	lead	VERB
fumecheng-2694	246	20	to	to	ADP
fumecheng-2694	246	21	bending	bend	VERB
fumecheng-2694	246	22	deformation	deformation	NOUN
fumecheng-2694	246	23	.	.	PUNCT
fumecheng-2694	247	1	as	as	ADP
fumecheng-2694	247	2	a	a	DET
fumecheng-2694	247	3	result	result	NOUN
fumecheng-2694	247	4	of	of	ADP
fumecheng-2694	247	5	the	the	DET
fumecheng-2694	247	6	opposite	opposite	ADJ
fumecheng-2694	247	7	polarization	polarization	NOUN
fumecheng-2694	247	8	of	of	ADP
fumecheng-2694	247	9	the	the	DET
fumecheng-2694	247	10	ptz	ptz	PROPN
fumecheng-2694	247	11	layers	layer	NOUN
fumecheng-2694	247	12	,	,	PUNCT
fumecheng-2694	247	13	the	the	DET
fumecheng-2694	247	14	computed	computed	ADJ
fumecheng-2694	247	15	sensor	sensor	NOUN
fumecheng-2694	247	16	voltages	voltage	NOUN
fumecheng-2694	247	17	of	of	ADP
fumecheng-2694	247	18	the	the	DET
fumecheng-2694	247	19	layer	layer	NOUN
fumecheng-2694	247	20	(	(	PUNCT
fumecheng-2694	247	21	1	1	NUM
fumecheng-2694	247	22	)	)	PUNCT
fumecheng-2694	247	23	and	and	CCONJ
fumecheng-2694	247	24	(	(	PUNCT
fumecheng-2694	247	25	2	2	X
fumecheng-2694	247	26	)	)	PUNCT
fumecheng-2694	247	27	are	be	AUX
fumecheng-2694	247	28	equal	equal	ADJ
fumecheng-2694	247	29	(	(	PUNCT
fumecheng-2694	247	30	see	see	VERB
fumecheng-2694	247	31	fig	fig	NOUN
fumecheng-2694	247	32	.	.	PUNCT
fumecheng-2694	248	1	13	13	NUM
fumecheng-2694	248	2	)	)	PUNCT
fumecheng-2694	248	3	.	.	PUNCT
fumecheng-2694	249	1	in	in	ADP
fumecheng-2694	249	2	the	the	DET
fumecheng-2694	249	3	nonlinear	nonlinear	ADJ
fumecheng-2694	249	4	analysis	analysis	NOUN
fumecheng-2694	249	5	the	the	DET
fumecheng-2694	249	6	stiffness	stiffness	ADJ
fumecheng-2694	249	7	matrix	matrix	NOUN
fumecheng-2694	249	8	changes	change	NOUN
fumecheng-2694	249	9	continuously	continuously	ADV
fumecheng-2694	249	10	with	with	ADP
fumecheng-2694	249	11	the	the	DET
fumecheng-2694	249	12	structural	structural	ADJ
fumecheng-2694	249	13	deformation	deformation	NOUN
fumecheng-2694	249	14	.	.	PUNCT
fumecheng-2694	250	1	the	the	DET
fumecheng-2694	250	2	deformation	deformation	NOUN
fumecheng-2694	250	3	involves	involve	VERB
fumecheng-2694	250	4	membrane	membrane	NOUN
fumecheng-2694	250	5	and	and	CCONJ
fumecheng-2694	250	6	bending	bend	VERB
fumecheng-2694	250	7	effects	effect	NOUN
fumecheng-2694	250	8	and	and	CCONJ
fumecheng-2694	250	9	,	,	PUNCT
fumecheng-2694	250	10	consequently	consequently	ADV
fumecheng-2694	250	11	,	,	PUNCT
fumecheng-2694	250	12	the	the	DET
fumecheng-2694	250	13	sensor	sensor	NOUN
fumecheng-2694	250	14	voltages	voltage	NOUN
fumecheng-2694	250	15	of	of	ADP
fumecheng-2694	250	16	the	the	DET
fumecheng-2694	250	17	upper	upper	ADJ
fumecheng-2694	250	18	and	and	CCONJ
fumecheng-2694	250	19	lower	low	ADJ
fumecheng-2694	250	20	layer	layer	NOUN
fumecheng-2694	250	21	differ	differ	VERB
fumecheng-2694	250	22	.	.	PUNCT
fumecheng-2694	251	1	the	the	DET
fumecheng-2694	251	2	difference	difference	NOUN
fumecheng-2694	251	3	between	between	ADP
fumecheng-2694	251	4	the	the	DET
fumecheng-2694	251	5	linear	linear	NOUN
fumecheng-2694	251	6	and	and	CCONJ
fumecheng-2694	251	7	the	the	DET
fumecheng-2694	251	8	nonlinear	nonlinear	ADJ
fumecheng-2694	251	9	results	result	NOUN
fumecheng-2694	251	10	depends	depend	VERB
fumecheng-2694	251	11	on	on	ADP
fumecheng-2694	251	12	the	the	DET
fumecheng-2694	251	13	boundary	boundary	ADJ
fumecheng-2694	251	14	and	and	CCONJ
fumecheng-2694	251	15	loading	loading	NOUN
fumecheng-2694	251	16	conditions	condition	NOUN
fumecheng-2694	251	17	.	.	PUNCT
fumecheng-2694	252	1	in	in	ADP
fumecheng-2694	252	2	this	this	DET
fumecheng-2694	252	3	case	case	NOUN
fumecheng-2694	252	4	,	,	PUNCT
fumecheng-2694	252	5	one	one	PRON
fumecheng-2694	252	6	can	can	AUX
fumecheng-2694	252	7	easily	easily	ADV
fumecheng-2694	252	8	notice	notice	VERB
fumecheng-2694	252	9	the	the	DET
fumecheng-2694	252	10	differences	difference	NOUN
fumecheng-2694	252	11	in	in	ADP
fumecheng-2694	252	12	periods	period	NOUN
fumecheng-2694	252	13	and	and	CCONJ
fumecheng-2694	252	14	amplitudes	amplitude	NOUN
fumecheng-2694	252	15	of	of	ADP
fumecheng-2694	252	16	the	the	DET
fumecheng-2694	252	17	linear	linear	ADJ
fumecheng-2694	252	18	and	and	CCONJ
fumecheng-2694	252	19	nonlinear	nonlinear	ADJ
fumecheng-2694	252	20	sensor	sensor	NOUN
fumecheng-2694	252	21	response	response	NOUN
fumecheng-2694	252	22	,	,	PUNCT
fumecheng-2694	252	23	demonstrating	demonstrate	VERB
fumecheng-2694	252	24	the	the	DET
fumecheng-2694	252	25	importance	importance	NOUN
fumecheng-2694	252	26	to	to	PART
fumecheng-2694	252	27	account	account	VERB
fumecheng-2694	252	28	for	for	ADP
fumecheng-2694	252	29	the	the	DET
fumecheng-2694	252	30	geometrically	geometrically	ADV
fumecheng-2694	252	31	nonlinear	nonlinear	ADJ
fumecheng-2694	252	32	effects	effect	NOUN
fumecheng-2694	252	33	for	for	ADP
fumecheng-2694	252	34	adequate	adequate	ADJ
fumecheng-2694	252	35	accuracy	accuracy	NOUN
fumecheng-2694	252	36	.	.	PUNCT
fumecheng-2694	253	1	fig	fig	NOUN
fumecheng-2694	253	2	.	.	PUNCT
fumecheng-2694	254	1	13	13	NUM
fumecheng-2694	254	2	sensor	sensor	NOUN
fumecheng-2694	254	3	voltage	voltage	NOUN
fumecheng-2694	254	4	response	response	NOUN
fumecheng-2694	254	5	of	of	ADP
fumecheng-2694	254	6	a	a	DET
fumecheng-2694	254	7	simply	simply	ADV
fumecheng-2694	254	8	supported	support	VERB
fumecheng-2694	254	9	piezoelectric	piezoelectric	ADJ
fumecheng-2694	254	10	plate	plate	NOUN
fumecheng-2694	254	11	under	under	ADP
fumecheng-2694	254	12	harmonic	harmonic	ADJ
fumecheng-2694	254	13	excitation	excitation	NOUN
fumecheng-2694	254	14	a	a	DET
fumecheng-2694	254	15	3	3	NUM
fumecheng-2694	254	16	-	-	PUNCT
fumecheng-2694	254	17	node	node	ADJ
fumecheng-2694	254	18	piezoelectric	piezoelectric	NOUN
fumecheng-2694	254	19	shell	shell	NOUN
fumecheng-2694	254	20	element	element	NOUN
fumecheng-2694	254	21	for	for	ADP
fumecheng-2694	254	22	linear	linear	PROPN
fumecheng-2694	254	23	and	and	CCONJ
fumecheng-2694	254	24	geometrically	geometrically	ADV
fumecheng-2694	254	25	nonlinear	nonlinear	ADJ
fumecheng-2694	254	26	dynamic	dynamic	ADJ
fumecheng-2694	254	27	analysis	analysis	NOUN
fumecheng-2694	254	28	...	...	PUNCT
fumecheng-2694	254	29	43	43	NUM
fumecheng-2694	254	30	5	5	NUM
fumecheng-2694	254	31	.	.	PUNCT
fumecheng-2694	255	1	conclusions	conclusion	NOUN
fumecheng-2694	255	2	the	the	DET
fumecheng-2694	255	3	dynamics	dynamic	NOUN
fumecheng-2694	255	4	is	be	AUX
fumecheng-2694	255	5	of	of	ADP
fumecheng-2694	255	6	particular	particular	ADJ
fumecheng-2694	255	7	importance	importance	NOUN
fumecheng-2694	255	8	for	for	ADP
fumecheng-2694	255	9	smart	smart	ADJ
fumecheng-2694	255	10	structures	structure	NOUN
fumecheng-2694	255	11	as	as	SCONJ
fumecheng-2694	255	12	their	their	PRON
fumecheng-2694	255	13	advantages	advantage	NOUN
fumecheng-2694	255	14	are	be	AUX
fumecheng-2694	255	15	quite	quite	ADV
fumecheng-2694	255	16	often	often	ADV
fumecheng-2694	255	17	used	use	VERB
fumecheng-2694	255	18	to	to	PART
fumecheng-2694	255	19	achieve	achieve	VERB
fumecheng-2694	255	20	active	active	ADJ
fumecheng-2694	255	21	vibration	vibration	NOUN
fumecheng-2694	255	22	suppression	suppression	NOUN
fumecheng-2694	255	23	,	,	PUNCT
fumecheng-2694	255	24	radiated	radiate	VERB
fumecheng-2694	255	25	noise	noise	NOUN
fumecheng-2694	255	26	attenuation	attenuation	NOUN
fumecheng-2694	255	27	,	,	PUNCT
fumecheng-2694	255	28	etc	etc	X
fumecheng-2694	255	29	.	.	X
fumecheng-2694	255	30	simulation	simulation	NOUN
fumecheng-2694	255	31	of	of	ADP
fumecheng-2694	255	32	the	the	DET
fumecheng-2694	255	33	smart	smart	ADJ
fumecheng-2694	255	34	structures	structure	NOUN
fumecheng-2694	255	35	dynamic	dynamic	ADJ
fumecheng-2694	255	36	behavior	behavior	NOUN
fumecheng-2694	255	37	is	be	AUX
fumecheng-2694	255	38	a	a	DET
fumecheng-2694	255	39	significant	significant	ADJ
fumecheng-2694	255	40	prerequisite	prerequisite	NOUN
fumecheng-2694	255	41	for	for	ADP
fumecheng-2694	255	42	their	their	PRON
fumecheng-2694	255	43	successful	successful	ADJ
fumecheng-2694	255	44	design	design	NOUN
fumecheng-2694	255	45	,	,	PUNCT
fumecheng-2694	255	46	including	include	VERB
fumecheng-2694	255	47	control	control	NOUN
fumecheng-2694	255	48	laws	law	NOUN
fumecheng-2694	255	49	,	,	PUNCT
fumecheng-2694	255	50	i.e.	i.e.	X
fumecheng-2694	255	51	algorithms	algorithm	NOUN
fumecheng-2694	255	52	that	that	PRON
fumecheng-2694	255	53	define	define	VERB
fumecheng-2694	255	54	the	the	DET
fumecheng-2694	255	55	control	control	NOUN
fumecheng-2694	255	56	strategy	strategy	NOUN
fumecheng-2694	255	57	.	.	PUNCT
fumecheng-2694	256	1	the	the	DET
fumecheng-2694	256	2	recently	recently	ADV
fumecheng-2694	256	3	developed	develop	VERB
fumecheng-2694	256	4	linear	linear	PROPN
fumecheng-2694	256	5	triangular	triangular	NOUN
fumecheng-2694	256	6	shell	shell	NOUN
fumecheng-2694	256	7	type	type	NOUN
fumecheng-2694	256	8	finite	finite	ADJ
fumecheng-2694	256	9	element	element	NOUN
fumecheng-2694	256	10	[	[	X
fumecheng-2694	256	11	22	22	NUM
fumecheng-2694	256	12	]	]	PUNCT
fumecheng-2694	256	13	was	be	AUX
fumecheng-2694	256	14	used	use	VERB
fumecheng-2694	256	15	in	in	ADP
fumecheng-2694	256	16	this	this	DET
fumecheng-2694	256	17	paper	paper	NOUN
fumecheng-2694	256	18	to	to	PART
fumecheng-2694	256	19	perform	perform	VERB
fumecheng-2694	256	20	dynamic	dynamic	ADJ
fumecheng-2694	256	21	analyses	analysis	NOUN
fumecheng-2694	256	22	of	of	ADP
fumecheng-2694	256	23	thin	thin	ADJ
fumecheng-2694	256	24	-	-	PUNCT
fumecheng-2694	256	25	walled	walled	ADJ
fumecheng-2694	256	26	piezoelectric	piezoelectric	NOUN
fumecheng-2694	256	27	laminated	laminate	VERB
fumecheng-2694	256	28	structures	structure	NOUN
fumecheng-2694	256	29	.	.	PUNCT
fumecheng-2694	257	1	both	both	CCONJ
fumecheng-2694	257	2	linear	linear	ADJ
fumecheng-2694	257	3	and	and	CCONJ
fumecheng-2694	257	4	geometrically	geometrically	ADV
fumecheng-2694	257	5	nonlinear	nonlinear	ADJ
fumecheng-2694	257	6	computations	computation	NOUN
fumecheng-2694	257	7	were	be	AUX
fumecheng-2694	257	8	performed	perform	VERB
fumecheng-2694	257	9	.	.	PUNCT
fumecheng-2694	258	1	actuator	actuator	NOUN
fumecheng-2694	258	2	and	and	CCONJ
fumecheng-2694	258	3	sensor	sensor	NOUN
fumecheng-2694	258	4	cases	case	NOUN
fumecheng-2694	258	5	were	be	AUX
fumecheng-2694	258	6	considered	consider	VERB
fumecheng-2694	258	7	.	.	PUNCT
fumecheng-2694	259	1	for	for	ADP
fumecheng-2694	259	2	the	the	DET
fumecheng-2694	259	3	nonlinear	nonlinear	ADJ
fumecheng-2694	259	4	computations	computation	NOUN
fumecheng-2694	259	5	,	,	PUNCT
fumecheng-2694	259	6	the	the	DET
fumecheng-2694	259	7	co	co	ADJ
fumecheng-2694	259	8	-	-	ADJ
fumecheng-2694	259	9	rotational	rotational	ADJ
fumecheng-2694	259	10	fe	fe	NOUN
fumecheng-2694	259	11	formulation	formulation	NOUN
fumecheng-2694	259	12	was	be	AUX
fumecheng-2694	259	13	used	use	VERB
fumecheng-2694	259	14	.	.	PUNCT
fumecheng-2694	260	1	the	the	DET
fumecheng-2694	260	2	verification	verification	NOUN
fumecheng-2694	260	3	of	of	ADP
fumecheng-2694	260	4	the	the	DET
fumecheng-2694	260	5	results	result	NOUN
fumecheng-2694	260	6	was	be	AUX
fumecheng-2694	260	7	done	do	VERB
fumecheng-2694	260	8	using	use	VERB
fumecheng-2694	260	9	either	either	CCONJ
fumecheng-2694	260	10	results	result	NOUN
fumecheng-2694	260	11	available	available	ADJ
fumecheng-2694	260	12	in	in	ADP
fumecheng-2694	260	13	the	the	DET
fumecheng-2694	260	14	literature	literature	NOUN
fumecheng-2694	260	15	or	or	CCONJ
fumecheng-2694	260	16	the	the	DET
fumecheng-2694	260	17	results	result	NOUN
fumecheng-2694	260	18	from	from	ADP
fumecheng-2694	260	19	abaqus	abaqus	NOUN
fumecheng-2694	260	20	by	by	ADP
fumecheng-2694	260	21	properly	properly	ADV
fumecheng-2694	260	22	prepared	prepare	VERB
fumecheng-2694	260	23	equivalent	equivalent	ADJ
fumecheng-2694	260	24	mechanical	mechanical	ADJ
fumecheng-2694	260	25	models	model	NOUN
fumecheng-2694	260	26	.	.	PUNCT
fumecheng-2694	261	1	a	a	DET
fumecheng-2694	261	2	high	high	ADJ
fumecheng-2694	261	3	agreement	agreement	NOUN
fumecheng-2694	261	4	of	of	ADP
fumecheng-2694	261	5	the	the	DET
fumecheng-2694	261	6	results	result	NOUN
fumecheng-2694	261	7	validates	validate	VERB
fumecheng-2694	261	8	the	the	DET
fumecheng-2694	261	9	developed	develop	VERB
fumecheng-2694	261	10	element	element	NOUN
fumecheng-2694	261	11	.	.	PUNCT
fumecheng-2694	262	1	furthermore	furthermore	ADV
fumecheng-2694	262	2	,	,	PUNCT
fumecheng-2694	262	3	the	the	DET
fumecheng-2694	262	4	geometrically	geometrically	ADV
fumecheng-2694	262	5	nonlinear	nonlinear	ADJ
fumecheng-2694	262	6	examples	example	NOUN
fumecheng-2694	262	7	demonstrate	demonstrate	VERB
fumecheng-2694	262	8	that	that	SCONJ
fumecheng-2694	262	9	,	,	PUNCT
fumecheng-2694	262	10	depending	depend	VERB
fumecheng-2694	262	11	on	on	ADP
fumecheng-2694	262	12	the	the	DET
fumecheng-2694	262	13	boundary	boundary	ADJ
fumecheng-2694	262	14	and	and	CCONJ
fumecheng-2694	262	15	loading	loading	NOUN
fumecheng-2694	262	16	conditions	condition	NOUN
fumecheng-2694	262	17	,	,	PUNCT
fumecheng-2694	262	18	the	the	DET
fumecheng-2694	262	19	nonlinear	nonlinear	ADJ
fumecheng-2694	262	20	effects	effect	NOUN
fumecheng-2694	262	21	can	can	AUX
fumecheng-2694	262	22	play	play	VERB
fumecheng-2694	262	23	a	a	DET
fumecheng-2694	262	24	significant	significant	ADJ
fumecheng-2694	262	25	role	role	NOUN
fumecheng-2694	262	26	even	even	ADV
fumecheng-2694	262	27	when	when	SCONJ
fumecheng-2694	262	28	relatively	relatively	ADV
fumecheng-2694	262	29	small	small	ADJ
fumecheng-2694	262	30	deformations	deformation	NOUN
fumecheng-2694	262	31	are	be	AUX
fumecheng-2694	262	32	caused	cause	VERB
fumecheng-2694	262	33	.	.	PUNCT
fumecheng-2694	263	1	this	this	PRON
fumecheng-2694	263	2	is	be	AUX
fumecheng-2694	263	3	particularly	particularly	ADV
fumecheng-2694	263	4	valid	valid	ADJ
fumecheng-2694	263	5	for	for	ADP
fumecheng-2694	263	6	thin	thin	ADJ
fumecheng-2694	263	7	-	-	PUNCT
fumecheng-2694	263	8	walled	walled	ADJ
fumecheng-2694	263	9	structures	structure	NOUN
fumecheng-2694	263	10	.	.	PUNCT
fumecheng-2694	264	1	references	reference	NOUN
fumecheng-2694	264	2	1	1	NUM
fumecheng-2694	264	3	.	.	PUNCT
fumecheng-2694	265	1	benjeddou	benjeddou	NOUN
fumecheng-2694	265	2	,	,	PUNCT
fumecheng-2694	265	3	a.	a.	NOUN
fumecheng-2694	265	4	,	,	PUNCT
fumecheng-2694	265	5	2000	2000	NUM
fumecheng-2694	265	6	,	,	PUNCT
fumecheng-2694	265	7	advances	advance	NOUN
fumecheng-2694	265	8	in	in	ADP
fumecheng-2694	265	9	piezoelectric	piezoelectric	ADJ
fumecheng-2694	265	10	finite	finite	ADJ
fumecheng-2694	265	11	element	element	NOUN
fumecheng-2694	265	12	modeling	modeling	NOUN
fumecheng-2694	265	13	of	of	ADP
fumecheng-2694	265	14	adaptive	adaptive	ADJ
fumecheng-2694	265	15	structural	structural	ADJ
fumecheng-2694	265	16	elements	element	NOUN
fumecheng-2694	265	17	:	:	PUNCT
fumecheng-2694	265	18	a	a	DET
fumecheng-2694	265	19	survey	survey	NOUN
fumecheng-2694	265	20	,	,	PUNCT
fumecheng-2694	265	21	computers	computer	NOUN
fumecheng-2694	265	22	and	and	CCONJ
fumecheng-2694	265	23	structures	structure	NOUN
fumecheng-2694	265	24	,	,	PUNCT
fumecheng-2694	265	25	76	76	NUM
fumecheng-2694	265	26	,	,	PUNCT
fumecheng-2694	265	27	pp	pp	ADJ
fumecheng-2694	265	28	.	.	PUNCT
fumecheng-2694	266	1	347	347	NUM
fumecheng-2694	266	2	-	-	SYM
fumecheng-2694	266	3	363	363	NUM
fumecheng-2694	266	4	.	.	PUNCT
fumecheng-2694	267	1	2	2	NUM
fumecheng-2694	267	2	.	.	X
fumecheng-2694	267	3	lee	lee	PROPN
fumecheng-2694	267	4	,	,	PUNCT
fumecheng-2694	267	5	s.	s.	PROPN
fumecheng-2694	267	6	,	,	PUNCT
fumecheng-2694	267	7	cho	cho	PROPN
fumecheng-2694	267	8	,	,	PUNCT
fumecheng-2694	267	9	b.c	b.c	PROPN
fumecheng-2694	267	10	.	.	PROPN
fumecheng-2694	267	11	,	,	PUNCT
fumecheng-2694	267	12	park	park	PROPN
fumecheng-2694	267	13	,	,	PUNCT
fumecheng-2694	267	14	h.c	h.c	PROPN
fumecheng-2694	267	15	.	.	PROPN
fumecheng-2694	267	16	,	,	PUNCT
fumecheng-2694	267	17	goo	goo	PROPN
fumecheng-2694	267	18	,	,	PUNCT
fumecheng-2694	267	19	n.s	n.s	PROPN
fumecheng-2694	267	20	.	.	PROPN
fumecheng-2694	267	21	,	,	PUNCT
fumecheng-2694	267	22	yoon	yoon	PROPN
fumecheng-2694	267	23	,	,	PUNCT
fumecheng-2694	267	24	k.j	k.j	PROPN
fumecheng-2694	267	25	.	.	PROPN
fumecheng-2694	267	26	,	,	PUNCT
fumecheng-2694	267	27	2004	2004	NUM
fumecheng-2694	267	28	,	,	PUNCT
fumecheng-2694	267	29	piezoelectric	piezoelectric	ADJ
fumecheng-2694	267	30	actuator	actuator	NOUN
fumecheng-2694	267	31	–	–	PUNCT
fumecheng-2694	267	32	sensor	sensor	NOUN
fumecheng-2694	267	33	analysis	analysis	NOUN
fumecheng-2694	267	34	using	use	VERB
fumecheng-2694	267	35	a	a	DET
fumecheng-2694	267	36	three	three	NUM
fumecheng-2694	267	37	-	-	PUNCT
fumecheng-2694	267	38	dimensional	dimensional	ADJ
fumecheng-2694	267	39	assumed	assume	VERB
fumecheng-2694	267	40	strain	strain	NOUN
fumecheng-2694	267	41	solid	solid	ADJ
fumecheng-2694	267	42	element	element	NOUN
fumecheng-2694	267	43	,	,	PUNCT
fumecheng-2694	267	44	journal	journal	NOUN
fumecheng-2694	267	45	of	of	ADP
fumecheng-2694	267	46	intelligent	intelligent	ADJ
fumecheng-2694	267	47	material	material	NOUN
fumecheng-2694	267	48	systems	system	NOUN
fumecheng-2694	267	49	and	and	CCONJ
fumecheng-2694	267	50	structures	structure	NOUN
fumecheng-2694	267	51	,	,	PUNCT
fumecheng-2694	267	52	15	15	NUM
fumecheng-2694	267	53	,	,	PUNCT
fumecheng-2694	267	54	pp	pp	ADJ
fumecheng-2694	267	55	.	.	PUNCT
fumecheng-2694	267	56	329	329	NUM
fumecheng-2694	267	57	-	-	SYM
fumecheng-2694	267	58	338	338	NUM
fumecheng-2694	267	59	.	.	PUNCT
fumecheng-2694	268	1	3	3	X
fumecheng-2694	268	2	.	.	X
fumecheng-2694	268	3	willberg	willberg	PROPN
fumecheng-2694	268	4	,	,	PUNCT
fumecheng-2694	268	5	c.	c.	PROPN
fumecheng-2694	268	6	,	,	PUNCT
fumecheng-2694	268	7	gabbert	gabbert	PROPN
fumecheng-2694	268	8	,	,	PUNCT
fumecheng-2694	268	9	u.	u.	PROPN
fumecheng-2694	268	10	,	,	PUNCT
fumecheng-2694	268	11	2012	2012	NUM
fumecheng-2694	268	12	,	,	PUNCT
fumecheng-2694	268	13	development	development	NOUN
fumecheng-2694	268	14	of	of	ADP
fumecheng-2694	268	15	a	a	DET
fumecheng-2694	268	16	three	three	NUM
fumecheng-2694	268	17	-	-	PUNCT
fumecheng-2694	268	18	dimensional	dimensional	ADJ
fumecheng-2694	268	19	piezoelectric	piezoelectric	ADJ
fumecheng-2694	268	20	isogeometric	isogeometric	ADJ
fumecheng-2694	268	21	finite	finite	PROPN
fumecheng-2694	268	22	element	element	NOUN
fumecheng-2694	268	23	for	for	ADP
fumecheng-2694	268	24	smart	smart	ADJ
fumecheng-2694	268	25	structure	structure	NOUN
fumecheng-2694	268	26	applications	application	NOUN
fumecheng-2694	268	27	,	,	PUNCT
fumecheng-2694	268	28	acta	acta	PROPN
fumecheng-2694	268	29	mechanica	mechanica	PROPN
fumecheng-2694	268	30	,	,	PUNCT
fumecheng-2694	268	31	223	223	NUM
fumecheng-2694	268	32	,	,	PUNCT
fumecheng-2694	268	33	pp	pp	ADJ
fumecheng-2694	268	34	.	.	PUNCT
fumecheng-2694	268	35	1837	1837	NUM
fumecheng-2694	268	36	-	-	SYM
fumecheng-2694	268	37	1850	1850	NUM
fumecheng-2694	268	38	.	.	PUNCT
fumecheng-2694	269	1	4	4	NUM
fumecheng-2694	269	2	.	.	NOUN
fumecheng-2694	269	3	dvorkin	dvorkin	X
fumecheng-2694	269	4	,	,	PUNCT
fumecheng-2694	269	5	e.n	e.n	PROPN
fumecheng-2694	269	6	.	.	PROPN
fumecheng-2694	269	7	,	,	PUNCT
fumecheng-2694	269	8	bathe	bathe	VERB
fumecheng-2694	269	9	,	,	PUNCT
fumecheng-2694	269	10	k.j	k.j	PROPN
fumecheng-2694	269	11	.	.	PROPN
fumecheng-2694	269	12	,	,	PUNCT
fumecheng-2694	269	13	1984	1984	NUM
fumecheng-2694	269	14	,	,	PUNCT
fumecheng-2694	269	15	a	a	DET
fumecheng-2694	269	16	continuum	continuum	ADJ
fumecheng-2694	269	17	mechanics	mechanic	NOUN
fumecheng-2694	269	18	based	base	VERB
fumecheng-2694	269	19	four	four	NUM
fumecheng-2694	269	20	-	-	PUNCT
fumecheng-2694	269	21	node	node	ADJ
fumecheng-2694	269	22	shell	shell	NOUN
fumecheng-2694	269	23	element	element	NOUN
fumecheng-2694	269	24	for	for	ADP
fumecheng-2694	269	25	general	general	ADJ
fumecheng-2694	269	26	non	non	ADJ
fumecheng-2694	269	27	-	-	ADJ
fumecheng-2694	269	28	linear	linear	ADJ
fumecheng-2694	269	29	analysis	analysis	NOUN
fumecheng-2694	269	30	,	,	PUNCT
fumecheng-2694	269	31	engineering	engineering	NOUN
fumecheng-2694	269	32	computations	computation	NOUN
fumecheng-2694	269	33	,	,	PUNCT
fumecheng-2694	269	34	1	1	NUM
fumecheng-2694	269	35	,	,	PUNCT
fumecheng-2694	269	36	pp	pp	ADJ
fumecheng-2694	269	37	.	.	PUNCT
fumecheng-2694	270	1	77–88	77–88	NUM
fumecheng-2694	270	2	.	.	NOUN
fumecheng-2694	271	1	5	5	NUM
fumecheng-2694	271	2	.	.	X
fumecheng-2694	271	3	huang	huang	PROPN
fumecheng-2694	271	4	,	,	PUNCT
fumecheng-2694	271	5	h.c	h.c	PROPN
fumecheng-2694	271	6	.	.	PROPN
fumecheng-2694	271	7	,	,	PUNCT
fumecheng-2694	271	8	hinton	hinton	PROPN
fumecheng-2694	271	9	,	,	PUNCT
fumecheng-2694	271	10	e.	e.	PROPN
fumecheng-2694	271	11	,	,	PUNCT
fumecheng-2694	271	12	1986	1986	NUM
fumecheng-2694	271	13	,	,	PUNCT
fumecheng-2694	271	14	a	a	DET
fumecheng-2694	271	15	new	new	ADJ
fumecheng-2694	271	16	nine	nine	NUM
fumecheng-2694	271	17	node	node	NOUN
fumecheng-2694	271	18	degenerated	degenerate	VERB
fumecheng-2694	271	19	shell	shell	NOUN
fumecheng-2694	271	20	element	element	NOUN
fumecheng-2694	271	21	with	with	ADP
fumecheng-2694	271	22	enhanced	enhanced	ADJ
fumecheng-2694	271	23	membrane	membrane	NOUN
fumecheng-2694	271	24	and	and	CCONJ
fumecheng-2694	271	25	shear	shear	NOUN
fumecheng-2694	271	26	interpolation	interpolation	NOUN
fumecheng-2694	271	27	,	,	PUNCT
fumecheng-2694	271	28	international	international	ADJ
fumecheng-2694	271	29	journal	journal	NOUN
fumecheng-2694	271	30	for	for	ADP
fumecheng-2694	271	31	numerical	numerical	ADJ
fumecheng-2694	271	32	methods	method	NOUN
fumecheng-2694	271	33	in	in	ADP
fumecheng-2694	271	34	engineering	engineering	NOUN
fumecheng-2694	271	35	.	.	PUNCT
fumecheng-2694	272	1	22(1	22(1	NUM
fumecheng-2694	272	2	)	)	PUNCT
fumecheng-2694	272	3	,	,	PUNCT
fumecheng-2694	272	4	pp	pp	ADP
fumecheng-2694	272	5	.	.	PUNCT
fumecheng-2694	273	1	73	73	NUM
fumecheng-2694	273	2	-	-	SYM
fumecheng-2694	273	3	92	92	NUM
fumecheng-2694	273	4	.	.	PUNCT
fumecheng-2694	274	1	6	6	NUM
fumecheng-2694	274	2	.	.	X
fumecheng-2694	274	3	bletzinger	bletzinger	NOUN
fumecheng-2694	274	4	,	,	PUNCT
fumecheng-2694	274	5	k.u	k.u	PROPN
fumecheng-2694	274	6	.	.	PROPN
fumecheng-2694	274	7	,	,	PUNCT
fumecheng-2694	274	8	bischoff	bischoff	PROPN
fumecheng-2694	274	9	,	,	PUNCT
fumecheng-2694	274	10	m.	m.	NOUN
fumecheng-2694	274	11	,	,	PUNCT
fumecheng-2694	274	12	ramm	ramm	PROPN
fumecheng-2694	274	13	,	,	PUNCT
fumecheng-2694	274	14	e.	e.	PROPN
fumecheng-2694	274	15	,	,	PUNCT
fumecheng-2694	274	16	2000	2000	NUM
fumecheng-2694	274	17	,	,	PUNCT
fumecheng-2694	274	18	a	a	DET
fumecheng-2694	274	19	unified	unified	ADJ
fumecheng-2694	274	20	approach	approach	NOUN
fumecheng-2694	274	21	for	for	ADP
fumecheng-2694	274	22	shear	shear	NOUN
fumecheng-2694	274	23	-	-	PUNCT
fumecheng-2694	274	24	locking	locking	NOUN
fumecheng-2694	274	25	-	-	PUNCT
fumecheng-2694	274	26	free	free	ADJ
fumecheng-2694	274	27	triangular	triangular	NOUN
fumecheng-2694	274	28	and	and	CCONJ
fumecheng-2694	274	29	rectangular	rectangular	ADJ
fumecheng-2694	274	30	shell	shell	NOUN
fumecheng-2694	274	31	finite	finite	NOUN
fumecheng-2694	274	32	elements	element	NOUN
fumecheng-2694	274	33	,	,	PUNCT
fumecheng-2694	274	34	computers	computer	NOUN
fumecheng-2694	274	35	&	&	CCONJ
fumecheng-2694	274	36	structures	structure	NOUN
fumecheng-2694	274	37	,	,	PUNCT
fumecheng-2694	274	38	75(3	75(3	NUM
fumecheng-2694	274	39	)	)	PUNCT
fumecheng-2694	274	40	,	,	PUNCT
fumecheng-2694	274	41	pp	pp	PROPN
fumecheng-2694	274	42	.	.	PUNCT
fumecheng-2694	275	1	321	321	NUM
fumecheng-2694	275	2	-	-	SYM
fumecheng-2694	275	3	334	334	NUM
fumecheng-2694	275	4	.	.	PUNCT
fumecheng-2694	276	1	7	7	X
fumecheng-2694	276	2	.	.	X
fumecheng-2694	276	3	marinkovic	marinkovic	PROPN
fumecheng-2694	276	4	,	,	PUNCT
fumecheng-2694	276	5	d.	d.	PROPN
fumecheng-2694	276	6	,	,	PUNCT
fumecheng-2694	276	7	köppe	köppe	PROPN
fumecheng-2694	276	8	,	,	PUNCT
fumecheng-2694	276	9	h.	h.	PROPN
fumecheng-2694	276	10	,	,	PUNCT
fumecheng-2694	276	11	gabbert	gabbert	PROPN
fumecheng-2694	276	12	,	,	PUNCT
fumecheng-2694	276	13	u.	u.	PROPN
fumecheng-2694	276	14	,	,	PUNCT
fumecheng-2694	276	15	2006	2006	NUM
fumecheng-2694	276	16	,	,	PUNCT
fumecheng-2694	276	17	numerically	numerically	ADV
fumecheng-2694	276	18	efficient	efficient	ADJ
fumecheng-2694	276	19	finite	finite	ADJ
fumecheng-2694	276	20	element	element	NOUN
fumecheng-2694	276	21	formulation	formulation	NOUN
fumecheng-2694	276	22	for	for	ADP
fumecheng-2694	276	23	modeling	model	VERB
fumecheng-2694	276	24	active	active	ADJ
fumecheng-2694	276	25	composite	composite	ADJ
fumecheng-2694	276	26	laminates	laminate	NOUN
fumecheng-2694	276	27	,	,	PUNCT
fumecheng-2694	276	28	mechanics	mechanic	NOUN
fumecheng-2694	276	29	of	of	ADP
fumecheng-2694	276	30	advanced	advanced	ADJ
fumecheng-2694	276	31	materials	material	NOUN
fumecheng-2694	276	32	and	and	CCONJ
fumecheng-2694	276	33	structures	structure	NOUN
fumecheng-2694	276	34	,	,	PUNCT
fumecheng-2694	276	35	13	13	NUM
fumecheng-2694	276	36	,	,	PUNCT
fumecheng-2694	276	37	pp	pp	ADJ
fumecheng-2694	276	38	.	.	PUNCT
fumecheng-2694	277	1	379	379	NUM
fumecheng-2694	277	2	-	-	SYM
fumecheng-2694	277	3	392	392	NUM
fumecheng-2694	277	4	.	.	NOUN
fumecheng-2694	277	5	8	8	NUM
fumecheng-2694	277	6	.	.	PUNCT
fumecheng-2694	277	7	marinković	marinković	ADJ
fumecheng-2694	277	8	,	,	PUNCT
fumecheng-2694	277	9	d.	d.	PROPN
fumecheng-2694	277	10	,	,	PUNCT
fumecheng-2694	277	11	marinković	marinković	PROPN
fumecheng-2694	277	12	,	,	PUNCT
fumecheng-2694	277	13	z.	z.	PROPN
fumecheng-2694	277	14	,	,	PUNCT
fumecheng-2694	277	15	2012	2012	NUM
fumecheng-2694	277	16	,	,	PUNCT
fumecheng-2694	277	17	on	on	ADP
fumecheng-2694	277	18	fem	fem	NOUN
fumecheng-2694	277	19	modeling	modeling	NOUN
fumecheng-2694	277	20	of	of	ADP
fumecheng-2694	277	21	piezoelectric	piezoelectric	ADJ
fumecheng-2694	277	22	actuators	actuator	NOUN
fumecheng-2694	277	23	and	and	CCONJ
fumecheng-2694	277	24	sensors	sensor	NOUN
fumecheng-2694	277	25	for	for	ADP
fumecheng-2694	277	26	thin	thin	ADJ
fumecheng-2694	277	27	-	-	PUNCT
fumecheng-2694	277	28	walled	walled	ADJ
fumecheng-2694	277	29	structures	structure	NOUN
fumecheng-2694	277	30	,	,	PUNCT
fumecheng-2694	277	31	smart	smart	ADJ
fumecheng-2694	277	32	structures	structure	NOUN
fumecheng-2694	277	33	and	and	CCONJ
fumecheng-2694	277	34	systems	system	NOUN
fumecheng-2694	277	35	,	,	PUNCT
fumecheng-2694	277	36	9(5	9(5	NUM
fumecheng-2694	277	37	)	)	PUNCT
fumecheng-2694	277	38	,	,	PUNCT
fumecheng-2694	277	39	pp	pp	ADP
fumecheng-2694	277	40	.	.	PUNCT
fumecheng-2694	278	1	411	411	NUM
fumecheng-2694	278	2	-	-	SYM
fumecheng-2694	278	3	426	426	NUM
fumecheng-2694	278	4	.	.	NOUN
fumecheng-2694	279	1	9	9	NUM
fumecheng-2694	279	2	.	.	X
fumecheng-2694	280	1	nestorovic	nestorovic	ADJ
fumecheng-2694	280	2	,	,	PUNCT
fumecheng-2694	280	3	t.	t.	PROPN
fumecheng-2694	280	4	,	,	PUNCT
fumecheng-2694	280	5	shabadi	shabadi	NOUN
fumecheng-2694	280	6	,	,	PUNCT
fumecheng-2694	280	7	s.	s.	PROPN
fumecheng-2694	280	8	,	,	PUNCT
fumecheng-2694	280	9	marinković	marinković	PROPN
fumecheng-2694	280	10	,	,	PUNCT
fumecheng-2694	280	11	d.	d.	PROPN
fumecheng-2694	280	12	,	,	PUNCT
fumecheng-2694	280	13	trajkov	trajkov	PROPN
fumecheng-2694	280	14	,	,	PUNCT
fumecheng-2694	280	15	m.	m.	NOUN
fumecheng-2694	280	16	,	,	PUNCT
fumecheng-2694	280	17	2014	2014	NUM
fumecheng-2694	280	18	,	,	PUNCT
fumecheng-2694	280	19	user	user	NOUN
fumecheng-2694	280	20	defined	define	VERB
fumecheng-2694	280	21	finite	finite	ADJ
fumecheng-2694	280	22	element	element	NOUN
fumecheng-2694	280	23	for	for	ADP
fumecheng-2694	280	24	modeling	modeling	NOUN
fumecheng-2694	280	25	and	and	CCONJ
fumecheng-2694	280	26	analysis	analysis	NOUN
fumecheng-2694	280	27	of	of	ADP
fumecheng-2694	280	28	active	active	ADJ
fumecheng-2694	280	29	piezoelectric	piezoelectric	ADJ
fumecheng-2694	280	30	shell	shell	NOUN
fumecheng-2694	280	31	structures	structure	NOUN
fumecheng-2694	280	32	,	,	PUNCT
fumecheng-2694	280	33	meccanica	meccanica	PROPN
fumecheng-2694	280	34	,	,	PUNCT
fumecheng-2694	280	35	49(8	49(8	PROPN
fumecheng-2694	280	36	)	)	PUNCT
fumecheng-2694	280	37	,	,	PUNCT
fumecheng-2694	280	38	pp	pp	ADP
fumecheng-2694	280	39	.	.	PUNCT
fumecheng-2694	281	1	1763	1763	NUM
fumecheng-2694	281	2	-	-	SYM
fumecheng-2694	281	3	1774	1774	NUM
fumecheng-2694	281	4	.	.	PUNCT
fumecheng-2694	282	1	10	10	NUM
fumecheng-2694	282	2	.	.	PUNCT
fumecheng-2694	283	1	zemčík	zemčík	PROPN
fumecheng-2694	283	2	,	,	PUNCT
fumecheng-2694	283	3	b.	b.	PROPN
fumecheng-2694	283	4	,	,	PUNCT
fumecheng-2694	283	5	rolfes	rolfes	PROPN
fumecheng-2694	283	6	,	,	PUNCT
fumecheng-2694	283	7	r.	r.	PROPN
fumecheng-2694	283	8	,	,	PUNCT
fumecheng-2694	283	9	rose	rise	VERB
fumecheng-2694	283	10	,	,	PUNCT
fumecheng-2694	283	11	m.	m.	NOUN
fumecheng-2694	283	12	,	,	PUNCT
fumecheng-2694	283	13	teßmer	teßmer	PROPN
fumecheng-2694	283	14	,	,	PUNCT
fumecheng-2694	283	15	j.	j.	PROPN
fumecheng-2694	283	16	,	,	PUNCT
fumecheng-2694	283	17	2007	2007	NUM
fumecheng-2694	283	18	,	,	PUNCT
fumecheng-2694	283	19	high	high	ADJ
fumecheng-2694	283	20	-	-	PUNCT
fumecheng-2694	283	21	performance	performance	NOUN
fumecheng-2694	283	22	four	four	NUM
fumecheng-2694	283	23	-	-	PUNCT
fumecheng-2694	283	24	node	node	ADJ
fumecheng-2694	283	25	shell	shell	NOUN
fumecheng-2694	283	26	element	element	NOUN
fumecheng-2694	283	27	with	with	ADP
fumecheng-2694	283	28	piezoelectric	piezoelectric	ADJ
fumecheng-2694	283	29	coupling	coupling	NOUN
fumecheng-2694	283	30	for	for	ADP
fumecheng-2694	283	31	the	the	DET
fumecheng-2694	283	32	analysis	analysis	NOUN
fumecheng-2694	283	33	of	of	ADP
fumecheng-2694	283	34	smart	smart	ADJ
fumecheng-2694	283	35	laminated	laminate	VERB
fumecheng-2694	283	36	structures	structure	NOUN
fumecheng-2694	283	37	,	,	PUNCT
fumecheng-2694	283	38	international	international	ADJ
fumecheng-2694	283	39	journal	journal	NOUN
fumecheng-2694	283	40	for	for	ADP
fumecheng-2694	283	41	numerical	numerical	ADJ
fumecheng-2694	283	42	methods	method	NOUN
fumecheng-2694	283	43	in	in	ADP
fumecheng-2694	283	44	engineering	engineering	NOUN
fumecheng-2694	283	45	,	,	PUNCT
fumecheng-2694	283	46	70(8	70(8	NUM
fumecheng-2694	283	47	)	)	PUNCT
fumecheng-2694	283	48	,	,	PUNCT
fumecheng-2694	283	49	pp	pp	PROPN
fumecheng-2694	283	50	.	.	PUNCT
fumecheng-2694	284	1	934	934	NUM
fumecheng-2694	284	2	-	-	SYM
fumecheng-2694	284	3	961	961	NUM
fumecheng-2694	284	4	.	.	PUNCT
fumecheng-2694	285	1	11	11	NUM
fumecheng-2694	285	2	.	.	X
fumecheng-2694	286	1	yang	yang	PROPN
fumecheng-2694	286	2	,	,	PUNCT
fumecheng-2694	286	3	lammering	lammering	PROPN
fumecheng-2694	286	4	,	,	PUNCT
fumecheng-2694	286	5	r.	r.	PROPN
fumecheng-2694	286	6	,	,	PUNCT
fumecheng-2694	286	7	mesecke	mesecke	NOUN
fumecheng-2694	286	8	-	-	PUNCT
fumecheng-2694	286	9	rischmann	rischmann	PROPN
fumecheng-2694	286	10	,	,	PUNCT
fumecheng-2694	286	11	s.	s.	PROPN
fumecheng-2694	286	12	,	,	PUNCT
fumecheng-2694	286	13	2004	2004	NUM
fumecheng-2694	286	14	,	,	PUNCT
fumecheng-2694	286	15	advanced	advanced	ADJ
fumecheng-2694	286	16	shell	shell	ADJ
fumecheng-2694	286	17	element	element	NOUN
fumecheng-2694	286	18	formulations	formulation	NOUN
fumecheng-2694	286	19	for	for	ADP
fumecheng-2694	286	20	coupled	couple	VERB
fumecheng-2694	286	21	electromechanical	electromechanical	ADJ
fumecheng-2694	286	22	systems	system	NOUN
fumecheng-2694	286	23	fan	fan	PROPN
fumecheng-2694	286	24	,	,	PUNCT
fumecheng-2694	286	25	proc	proc	NOUN
fumecheng-2694	286	26	.	.	PUNCT
fumecheng-2694	287	1	appl	appl	PROPN
fumecheng-2694	287	2	.	.	PROPN
fumecheng-2694	287	3	math	math	PROPN
fumecheng-2694	287	4	.	.	PUNCT
fumecheng-2694	288	1	mech	mech	PROPN
fumecheng-2694	288	2	.	.	PROPN
fumecheng-2694	288	3	,	,	PUNCT
fumecheng-2694	288	4	4	4	NUM
fumecheng-2694	288	5	,	,	PUNCT
fumecheng-2694	288	6	pp	pp	ADJ
fumecheng-2694	288	7	.	.	PUNCT
fumecheng-2694	289	1	386–387	386–387	NUM
fumecheng-2694	289	2	.	.	NOUN
fumecheng-2694	290	1	12	12	NUM
fumecheng-2694	290	2	.	.	PUNCT
fumecheng-2694	291	1	nguyen	nguyen	NOUN
fumecheng-2694	291	2	-	-	PUNCT
fumecheng-2694	291	3	thoi	thoi	NOUN
fumecheng-2694	291	4	,	,	PUNCT
fumecheng-2694	291	5	t	t	PROPN
fumecheng-2694	291	6	,	,	PUNCT
fumecheng-2694	291	7	phung	phung	PROPN
fumecheng-2694	291	8	-	-	PUNCT
fumecheng-2694	291	9	van	van	PROPN
fumecheng-2694	291	10	,	,	PUNCT
fumecheng-2694	291	11	p.	p.	NOUN
fumecheng-2694	291	12	,	,	PUNCT
fumecheng-2694	291	13	thai	thai	PROPN
fumecheng-2694	291	14	-	-	PUNCT
fumecheng-2694	291	15	hoang	hoang	PROPN
fumecheng-2694	291	16	,	,	PUNCT
fumecheng-2694	291	17	c.	c.	PROPN
fumecheng-2694	291	18	,	,	PUNCT
fumecheng-2694	291	19	nguyen	nguyen	PROPN
fumecheng-2694	291	20	-	-	PUNCT
fumecheng-2694	291	21	xuan	xuan	PROPN
fumecheng-2694	291	22	,	,	PUNCT
fumecheng-2694	291	23	h.	h.	PROPN
fumecheng-2694	291	24	,	,	PUNCT
fumecheng-2694	291	25	2013	2013	NUM
fumecheng-2694	291	26	,	,	PUNCT
fumecheng-2694	291	27	a	a	DET
fumecheng-2694	291	28	cell	cell	NOUN
fumecheng-2694	291	29	-	-	PUNCT
fumecheng-2694	291	30	based	base	VERB
fumecheng-2694	291	31	smoothed	smooth	VERB
fumecheng-2694	291	32	discrete	discrete	ADJ
fumecheng-2694	291	33	shear	shear	NOUN
fumecheng-2694	291	34	gap	gap	NOUN
fumecheng-2694	291	35	method	method	NOUN
fumecheng-2694	291	36	(	(	PUNCT
fumecheng-2694	291	37	cs	cs	ADJ
fumecheng-2694	291	38	-	-	ADJ
fumecheng-2694	291	39	dsg3	dsg3	ADJ
fumecheng-2694	291	40	)	)	PUNCT
fumecheng-2694	291	41	using	use	VERB
fumecheng-2694	291	42	triangular	triangular	NOUN
fumecheng-2694	291	43	elements	element	NOUN
fumecheng-2694	291	44	for	for	ADP
fumecheng-2694	291	45	static	static	ADJ
fumecheng-2694	291	46	and	and	CCONJ
fumecheng-2694	291	47	free	free	ADJ
fumecheng-2694	291	48	vibration	vibration	NOUN
fumecheng-2694	291	49	analyses	analysis	NOUN
fumecheng-2694	291	50	of	of	ADP
fumecheng-2694	291	51	shell	shell	ADJ
fumecheng-2694	291	52	structures	structure	NOUN
fumecheng-2694	291	53	,	,	PUNCT
fumecheng-2694	291	54	international	international	ADJ
fumecheng-2694	291	55	journal	journal	NOUN
fumecheng-2694	291	56	of	of	ADP
fumecheng-2694	291	57	mechanical	mechanical	ADJ
fumecheng-2694	291	58	sciences	science	NOUN
fumecheng-2694	291	59	,	,	PUNCT
fumecheng-2694	291	60	74	74	NUM
fumecheng-2694	291	61	,	,	PUNCT
fumecheng-2694	291	62	pp	pp	ADJ
fumecheng-2694	291	63	.	.	PUNCT
fumecheng-2694	292	1	32	32	NUM
fumecheng-2694	292	2	-	-	SYM
fumecheng-2694	292	3	45	45	NUM
fumecheng-2694	292	4	.	.	NOUN
fumecheng-2694	293	1	13	13	NUM
fumecheng-2694	293	2	.	.	PUNCT
fumecheng-2694	294	1	carrera	carrera	PROPN
fumecheng-2694	294	2	,	,	PUNCT
fumecheng-2694	294	3	e.	e.	PROPN
fumecheng-2694	294	4	,	,	PUNCT
fumecheng-2694	294	5	2003	2003	NUM
fumecheng-2694	294	6	,	,	PUNCT
fumecheng-2694	294	7	theories	theory	NOUN
fumecheng-2694	294	8	and	and	CCONJ
fumecheng-2694	294	9	finite	finite	ADJ
fumecheng-2694	294	10	elements	element	NOUN
fumecheng-2694	294	11	for	for	ADP
fumecheng-2694	294	12	multilayered	multilayered	ADJ
fumecheng-2694	294	13	plates	plate	NOUN
fumecheng-2694	294	14	and	and	CCONJ
fumecheng-2694	294	15	shells	shell	NOUN
fumecheng-2694	294	16	:	:	PUNCT
fumecheng-2694	294	17	a	a	DET
fumecheng-2694	294	18	unified	unified	ADJ
fumecheng-2694	294	19	compact	compact	ADJ
fumecheng-2694	294	20	formulation	formulation	NOUN
fumecheng-2694	294	21	with	with	ADP
fumecheng-2694	294	22	numerical	numerical	ADJ
fumecheng-2694	294	23	assessment	assessment	NOUN
fumecheng-2694	294	24	and	and	CCONJ
fumecheng-2694	294	25	benchmarking	benchmarking	NOUN
fumecheng-2694	294	26	,	,	PUNCT
fumecheng-2694	294	27	arch	arch	NOUN
fumecheng-2694	294	28	.	.	PUNCT
fumecheng-2694	295	1	comput	comput	NOUN
fumecheng-2694	295	2	.	.	PUNCT
fumecheng-2694	296	1	meth	meth	NOUN
fumecheng-2694	296	2	.	.	PUNCT
fumecheng-2694	297	1	engng	engng	ADJ
fumecheng-2694	297	2	,	,	PUNCT
fumecheng-2694	297	3	10	10	NUM
fumecheng-2694	297	4	,	,	PUNCT
fumecheng-2694	297	5	pp	pp	ADJ
fumecheng-2694	297	6	.	.	PUNCT
fumecheng-2694	298	1	215–296	215–296	NUM
fumecheng-2694	298	2	.	.	PUNCT
fumecheng-2694	299	1	14	14	NUM
fumecheng-2694	299	2	.	.	PUNCT
fumecheng-2694	300	1	cinefra	cinefra	NOUN
fumecheng-2694	300	2	,	,	PUNCT
fumecheng-2694	300	3	m.	m.	NOUN
fumecheng-2694	300	4	,	,	PUNCT
fumecheng-2694	300	5	carrera	carrera	PROPN
fumecheng-2694	300	6	,	,	PUNCT
fumecheng-2694	300	7	e.	e.	PROPN
fumecheng-2694	300	8	,	,	PUNCT
fumecheng-2694	300	9	valvano	valvano	PROPN
fumecheng-2694	300	10	,	,	PUNCT
fumecheng-2694	300	11	s.	s.	PROPN
fumecheng-2694	300	12	,	,	PUNCT
fumecheng-2694	300	13	2015	2015	NUM
fumecheng-2694	300	14	,	,	PUNCT
fumecheng-2694	300	15	variable	variable	ADJ
fumecheng-2694	300	16	kinematic	kinematic	ADJ
fumecheng-2694	300	17	shell	shell	NOUN
fumecheng-2694	300	18	elements	element	NOUN
fumecheng-2694	300	19	for	for	ADP
fumecheng-2694	300	20	the	the	DET
fumecheng-2694	300	21	analysis	analysis	NOUN
fumecheng-2694	300	22	of	of	ADP
fumecheng-2694	300	23	electro	electro	ADJ
fumecheng-2694	300	24	-	-	PUNCT
fumecheng-2694	300	25	mechanical	mechanical	ADJ
fumecheng-2694	300	26	problems	problem	NOUN
fumecheng-2694	300	27	,	,	PUNCT
fumecheng-2694	300	28	mechanics	mechanic	NOUN
fumecheng-2694	300	29	of	of	ADP
fumecheng-2694	300	30	advanced	advanced	ADJ
fumecheng-2694	300	31	materials	material	NOUN
fumecheng-2694	300	32	and	and	CCONJ
fumecheng-2694	300	33	structures	structure	NOUN
fumecheng-2694	300	34	,	,	PUNCT
fumecheng-2694	300	35	22(1	22(1	NUM
fumecheng-2694	300	36	-	-	SYM
fumecheng-2694	300	37	2	2	NUM
fumecheng-2694	300	38	)	)	PUNCT
fumecheng-2694	300	39	,	,	PUNCT
fumecheng-2694	300	40	pp	pp	ADV
fumecheng-2694	300	41	.	.	PUNCT
fumecheng-2694	301	1	77–106	77–106	X
fumecheng-2694	301	2	.	.	PUNCT
fumecheng-2694	302	1	15	15	NUM
fumecheng-2694	302	2	.	.	PUNCT
fumecheng-2694	303	1	cinefra	cinefra	NOUN
fumecheng-2694	303	2	,	,	PUNCT
fumecheng-2694	303	3	m.	m.	NOUN
fumecheng-2694	303	4	,	,	PUNCT
fumecheng-2694	303	5	valvano	valvano	NOUN
fumecheng-2694	303	6	,	,	PUNCT
fumecheng-2694	303	7	s.	s.	PROPN
fumecheng-2694	303	8	,	,	PUNCT
fumecheng-2694	303	9	carrera	carrera	PROPN
fumecheng-2694	303	10	,	,	PUNCT
fumecheng-2694	303	11	e.	e.	PROPN
fumecheng-2694	303	12	,	,	PUNCT
fumecheng-2694	303	13	2015	2015	NUM
fumecheng-2694	303	14	,	,	PUNCT
fumecheng-2694	303	15	a	a	DET
fumecheng-2694	303	16	layer	layer	NOUN
fumecheng-2694	303	17	-	-	PUNCT
fumecheng-2694	303	18	wise	wise	ADJ
fumecheng-2694	303	19	mitc9	mitc9	NOUN
fumecheng-2694	303	20	finite	finite	PROPN
fumecheng-2694	303	21	element	element	NOUN
fumecheng-2694	303	22	for	for	ADP
fumecheng-2694	303	23	the	the	DET
fumecheng-2694	303	24	free	free	ADJ
fumecheng-2694	303	25	-	-	PUNCT
fumecheng-2694	303	26	vibration	vibration	NOUN
fumecheng-2694	303	27	analysis	analysis	NOUN
fumecheng-2694	303	28	of	of	ADP
fumecheng-2694	303	29	plates	plate	NOUN
fumecheng-2694	303	30	with	with	ADP
fumecheng-2694	303	31	piezo	piezo	NOUN
fumecheng-2694	303	32	-	-	NOUN
fumecheng-2694	303	33	patches	patch	NOUN
fumecheng-2694	303	34	,	,	PUNCT
fumecheng-2694	303	35	international	international	ADJ
fumecheng-2694	303	36	journal	journal	NOUN
fumecheng-2694	303	37	of	of	ADP
fumecheng-2694	303	38	smart	smart	ADJ
fumecheng-2694	303	39	and	and	CCONJ
fumecheng-2694	303	40	nano	nano	NOUN
fumecheng-2694	303	41	materials	material	NOUN
fumecheng-2694	303	42	,	,	PUNCT
fumecheng-2694	303	43	6(2	6(2	NUM
fumecheng-2694	303	44	)	)	PUNCT
fumecheng-2694	303	45	,	,	PUNCT
fumecheng-2694	303	46	pp	pp	ADP
fumecheng-2694	303	47	.	.	PUNCT
fumecheng-2694	304	1	84–104	84–104	PROPN
fumecheng-2694	304	2	.	.	PUNCT
fumecheng-2694	305	1	http://www.sciencedirect.com/science/journal/00457949	http://www.sciencedirect.com/science/journal/00457949	X
fumecheng-2694	305	2	44	44	NUM
fumecheng-2694	305	3	g.	g.	PROPN
fumecheng-2694	305	4	rama	rama	PROPN
fumecheng-2694	305	5	16	16	NUM
fumecheng-2694	305	6	.	.	PUNCT
fumecheng-2694	306	1	milazzo	milazzo	PROPN
fumecheng-2694	306	2	,	,	PUNCT
fumecheng-2694	306	3	a.	a.	NOUN
fumecheng-2694	306	4	,	,	PUNCT
fumecheng-2694	306	5	2016	2016	NUM
fumecheng-2694	306	6	,	,	PUNCT
fumecheng-2694	306	7	unified	unified	ADJ
fumecheng-2694	306	8	formulation	formulation	NOUN
fumecheng-2694	306	9	for	for	ADP
fumecheng-2694	306	10	a	a	DET
fumecheng-2694	306	11	family	family	NOUN
fumecheng-2694	306	12	of	of	ADP
fumecheng-2694	306	13	advanced	advanced	ADJ
fumecheng-2694	306	14	finite	finite	ADJ
fumecheng-2694	306	15	elements	element	NOUN
fumecheng-2694	306	16	for	for	ADP
fumecheng-2694	306	17	smart	smart	ADJ
fumecheng-2694	306	18	multilayered	multilayere	VERB
fumecheng-2694	306	19	plates	plate	NOUN
fumecheng-2694	306	20	,	,	PUNCT
fumecheng-2694	306	21	mechanics	mechanic	NOUN
fumecheng-2694	306	22	of	of	ADP
fumecheng-2694	306	23	advanced	advanced	ADJ
fumecheng-2694	306	24	materials	material	NOUN
fumecheng-2694	306	25	and	and	CCONJ
fumecheng-2694	306	26	structures	structure	NOUN
fumecheng-2694	306	27	,	,	PUNCT
fumecheng-2694	306	28	23(9	23(9	NUM
fumecheng-2694	306	29	)	)	PUNCT
fumecheng-2694	306	30	,	,	PUNCT
fumecheng-2694	306	31	pp	pp	ADP
fumecheng-2694	306	32	.	.	PUNCT
fumecheng-2694	307	1	971	971	NUM
fumecheng-2694	307	2	-	-	SYM
fumecheng-2694	307	3	980	980	NUM
fumecheng-2694	307	4	.	.	NOUN
fumecheng-2694	308	1	17	17	NUM
fumecheng-2694	308	2	.	.	PUNCT
fumecheng-2694	309	1	tzou	tzou	PROPN
fumecheng-2694	309	2	,	,	PUNCT
fumecheng-2694	309	3	h.s	h.s	PROPN
fumecheng-2694	309	4	.	.	PROPN
fumecheng-2694	309	5	,	,	PUNCT
fumecheng-2694	309	6	bao	bao	PROPN
fumecheng-2694	309	7	,	,	PUNCT
fumecheng-2694	309	8	y.	y.	NOUN
fumecheng-2694	309	9	,	,	PUNCT
fumecheng-2694	309	10	1997	1997	NUM
fumecheng-2694	309	11	,	,	PUNCT
fumecheng-2694	309	12	nonlinear	nonlinear	ADJ
fumecheng-2694	309	13	piezothermoelasticity	piezothermoelasticity	NOUN
fumecheng-2694	309	14	and	and	CCONJ
fumecheng-2694	309	15	multi	multi	ADJ
fumecheng-2694	309	16	-	-	ADJ
fumecheng-2694	309	17	field	field	ADJ
fumecheng-2694	309	18	actuations	actuation	NOUN
fumecheng-2694	309	19	,	,	PUNCT
fumecheng-2694	309	20	part	part	NOUN
fumecheng-2694	309	21	1	1	NUM
fumecheng-2694	309	22	:	:	PUNCT
fumecheng-2694	309	23	nonlinear	nonlinear	ADJ
fumecheng-2694	309	24	anisotropic	anisotropic	NOUN
fumecheng-2694	309	25	piezothermoelastic	piezothermoelastic	ADJ
fumecheng-2694	309	26	shell	shell	NOUN
fumecheng-2694	309	27	elements	element	NOUN
fumecheng-2694	309	28	,	,	PUNCT
fumecheng-2694	309	29	journal	journal	NOUN
fumecheng-2694	309	30	of	of	ADP
fumecheng-2694	309	31	vibration	vibration	NOUN
fumecheng-2694	309	32	and	and	CCONJ
fumecheng-2694	309	33	acoustics	acoustic	NOUN
fumecheng-2694	309	34	,	,	PUNCT
fumecheng-2694	309	35	119	119	NUM
fumecheng-2694	309	36	,	,	PUNCT
fumecheng-2694	309	37	pp	pp	ADJ
fumecheng-2694	309	38	.	.	PUNCT
fumecheng-2694	310	1	374–381	374–381	NUM
fumecheng-2694	310	2	.	.	PUNCT
fumecheng-2694	311	1	18	18	NUM
fumecheng-2694	311	2	.	.	X
fumecheng-2694	311	3	rabinovitch	rabinovitch	VERB
fumecheng-2694	311	4	,	,	PUNCT
fumecheng-2694	311	5	o.	o.	NOUN
fumecheng-2694	311	6	,	,	PUNCT
fumecheng-2694	311	7	2005	2005	NUM
fumecheng-2694	311	8	,	,	PUNCT
fumecheng-2694	311	9	geometrically	geometrically	ADV
fumecheng-2694	311	10	nonlinear	nonlinear	ADJ
fumecheng-2694	311	11	behavior	behavior	NOUN
fumecheng-2694	311	12	of	of	ADP
fumecheng-2694	311	13	piezoelectric	piezoelectric	ADJ
fumecheng-2694	311	14	laminated	laminate	VERB
fumecheng-2694	311	15	plates	plate	NOUN
fumecheng-2694	311	16	,	,	PUNCT
fumecheng-2694	311	17	smart	smart	ADJ
fumecheng-2694	311	18	materials	material	NOUN
fumecheng-2694	311	19	and	and	CCONJ
fumecheng-2694	311	20	structures	structure	NOUN
fumecheng-2694	311	21	,	,	PUNCT
fumecheng-2694	311	22	14(4	14(4	NUM
fumecheng-2694	311	23	)	)	PUNCT
fumecheng-2694	311	24	,	,	PUNCT
fumecheng-2694	311	25	pp	pp	ADP
fumecheng-2694	311	26	.	.	PUNCT
fumecheng-2694	312	1	785	785	NUM
fumecheng-2694	312	2	-	-	SYM
fumecheng-2694	312	3	798	798	NUM
fumecheng-2694	312	4	.	.	PUNCT
fumecheng-2694	313	1	19	19	NUM
fumecheng-2694	313	2	.	.	PUNCT
fumecheng-2694	314	1	kulkarni	kulkarni	PROPN
fumecheng-2694	314	2	,	,	PUNCT
fumecheng-2694	314	3	s.a	s.a	PROPN
fumecheng-2694	314	4	.	.	PROPN
fumecheng-2694	314	5	,	,	PUNCT
fumecheng-2694	314	6	bajoria	bajoria	PROPN
fumecheng-2694	314	7	,	,	PUNCT
fumecheng-2694	314	8	k.m	k.m	PROPN
fumecheng-2694	314	9	.	.	PROPN
fumecheng-2694	314	10	,	,	PUNCT
fumecheng-2694	314	11	2007	2007	NUM
fumecheng-2694	314	12	,	,	PUNCT
fumecheng-2694	314	13	large	large	ADJ
fumecheng-2694	314	14	deformation	deformation	NOUN
fumecheng-2694	314	15	analysis	analysis	NOUN
fumecheng-2694	314	16	of	of	ADP
fumecheng-2694	314	17	piezolaminated	piezolaminate	VERB
fumecheng-2694	314	18	smart	smart	ADJ
fumecheng-2694	314	19	structures	structure	NOUN
fumecheng-2694	314	20	using	use	VERB
fumecheng-2694	314	21	higher	high	ADJ
fumecheng-2694	314	22	-	-	PUNCT
fumecheng-2694	314	23	order	order	NOUN
fumecheng-2694	314	24	shear	shear	NOUN
fumecheng-2694	314	25	deformation	deformation	NOUN
fumecheng-2694	314	26	theory	theory	NOUN
fumecheng-2694	314	27	,	,	PUNCT
fumecheng-2694	314	28	smart	smart	ADJ
fumecheng-2694	314	29	materials	material	NOUN
fumecheng-2694	314	30	and	and	CCONJ
fumecheng-2694	314	31	structures	structure	NOUN
fumecheng-2694	314	32	,	,	PUNCT
fumecheng-2694	314	33	16	16	NUM
fumecheng-2694	314	34	,	,	PUNCT
fumecheng-2694	314	35	pp	pp	ADJ
fumecheng-2694	314	36	.	.	PUNCT
fumecheng-2694	314	37	1506	1506	NUM
fumecheng-2694	314	38	-	-	SYM
fumecheng-2694	314	39	1516	1516	NUM
fumecheng-2694	314	40	.	.	PUNCT
fumecheng-2694	315	1	20	20	NUM
fumecheng-2694	315	2	.	.	X
fumecheng-2694	315	3	lentzen	lentzen	PROPN
fumecheng-2694	315	4	,	,	PUNCT
fumecheng-2694	315	5	s.	s.	PROPN
fumecheng-2694	315	6	,	,	PUNCT
fumecheng-2694	315	7	klosowski	klosowski	PROPN
fumecheng-2694	315	8	,	,	PUNCT
fumecheng-2694	315	9	p.	p.	PROPN
fumecheng-2694	315	10	,	,	PUNCT
fumecheng-2694	315	11	schmidt	schmidt	PROPN
fumecheng-2694	315	12	,	,	PUNCT
fumecheng-2694	315	13	r.	r.	PROPN
fumecheng-2694	315	14	,	,	PUNCT
fumecheng-2694	315	15	2007	2007	NUM
fumecheng-2694	315	16	,	,	PUNCT
fumecheng-2694	315	17	geometrically	geometrically	ADV
fumecheng-2694	315	18	nonlinear	nonlinear	VERB
fumecheng-2694	315	19	finite	finite	PROPN
fumecheng-2694	315	20	element	element	PROPN
fumecheng-2694	315	21	simulation	simulation	NOUN
fumecheng-2694	315	22	of	of	ADP
fumecheng-2694	315	23	smart	smart	ADJ
fumecheng-2694	315	24	piezolaminated	piezolaminate	VERB
fumecheng-2694	315	25	plates	plate	NOUN
fumecheng-2694	315	26	and	and	CCONJ
fumecheng-2694	315	27	shells	shell	NOUN
fumecheng-2694	315	28	,	,	PUNCT
fumecheng-2694	315	29	smart	smart	ADJ
fumecheng-2694	315	30	materials	material	NOUN
fumecheng-2694	315	31	and	and	CCONJ
fumecheng-2694	315	32	structures	structure	NOUN
fumecheng-2694	315	33	,	,	PUNCT
fumecheng-2694	315	34	16	16	NUM
fumecheng-2694	315	35	,	,	PUNCT
fumecheng-2694	315	36	pp	pp	ADJ
fumecheng-2694	315	37	.	.	PUNCT
fumecheng-2694	316	1	2265	2265	NUM
fumecheng-2694	316	2	-	-	SYM
fumecheng-2694	316	3	2274	2274	NUM
fumecheng-2694	316	4	.	.	PUNCT
fumecheng-2694	317	1	21	21	NUM
fumecheng-2694	317	2	.	.	PUNCT
fumecheng-2694	317	3	klinkel	klinkel	PROPN
fumecheng-2694	317	4	,	,	PUNCT
fumecheng-2694	317	5	s.	s.	PROPN
fumecheng-2694	317	6	,	,	PUNCT
fumecheng-2694	317	7	wagner	wagner	PROPN
fumecheng-2694	317	8	,	,	PUNCT
fumecheng-2694	317	9	w.	w.	PROPN
fumecheng-2694	317	10	,	,	PUNCT
fumecheng-2694	317	11	2008	2008	NUM
fumecheng-2694	317	12	,	,	PUNCT
fumecheng-2694	317	13	a	a	DET
fumecheng-2694	317	14	piezoelectric	piezoelectric	ADJ
fumecheng-2694	317	15	solid	solid	ADJ
fumecheng-2694	317	16	shell	shell	NOUN
fumecheng-2694	317	17	element	element	NOUN
fumecheng-2694	317	18	based	base	VERB
fumecheng-2694	317	19	on	on	ADP
fumecheng-2694	317	20	a	a	DET
fumecheng-2694	317	21	mixed	mixed	ADJ
fumecheng-2694	317	22	variational	variational	ADJ
fumecheng-2694	317	23	formulation	formulation	NOUN
fumecheng-2694	317	24	for	for	ADP
fumecheng-2694	317	25	geometrically	geometrically	ADV
fumecheng-2694	317	26	linear	linear	ADJ
fumecheng-2694	317	27	and	and	CCONJ
fumecheng-2694	317	28	nonlinear	nonlinear	ADJ
fumecheng-2694	317	29	applications	application	NOUN
fumecheng-2694	317	30	,	,	PUNCT
fumecheng-2694	317	31	computers	computer	NOUN
fumecheng-2694	317	32	and	and	CCONJ
fumecheng-2694	317	33	structures	structure	NOUN
fumecheng-2694	317	34	,	,	PUNCT
fumecheng-2694	317	35	86(1	86(1	PROPN
fumecheng-2694	317	36	-	-	PUNCT
fumecheng-2694	317	37	2	2	NUM
fumecheng-2694	317	38	)	)	PUNCT
fumecheng-2694	317	39	,	,	PUNCT
fumecheng-2694	317	40	pp	pp	PROPN
fumecheng-2694	317	41	.	.	PUNCT
fumecheng-2694	318	1	38	38	NUM
fumecheng-2694	318	2	-	-	SYM
fumecheng-2694	318	3	46	46	NUM
fumecheng-2694	318	4	.	.	PUNCT
fumecheng-2694	319	1	22	22	NUM
fumecheng-2694	319	2	.	.	PUNCT
fumecheng-2694	320	1	rama	rama	PROPN
fumecheng-2694	320	2	,	,	PUNCT
fumecheng-2694	320	3	g.	g.	PROPN
fumecheng-2694	320	4	,	,	PUNCT
fumecheng-2694	320	5	marinković	marinković	PROPN
fumecheng-2694	320	6	,	,	PUNCT
fumecheng-2694	320	7	d.	d.	PROPN
fumecheng-2694	320	8	,	,	PUNCT
fumecheng-2694	320	9	zehn	zehn	PROPN
fumecheng-2694	320	10	,	,	PUNCT
fumecheng-2694	320	11	m.	m.	NOUN
fumecheng-2694	320	12	,	,	PUNCT
fumecheng-2694	320	13	2017	2017	NUM
fumecheng-2694	320	14	,	,	PUNCT
fumecheng-2694	320	15	efficient	efficient	ADJ
fumecheng-2694	320	16	3	3	NUM
fumecheng-2694	320	17	-	-	PUNCT
fumecheng-2694	320	18	node	node	ADJ
fumecheng-2694	320	19	finite	finite	PROPN
fumecheng-2694	320	20	shell	shell	NOUN
fumecheng-2694	320	21	element	element	NOUN
fumecheng-2694	320	22	for	for	ADP
fumecheng-2694	320	23	linear	linear	PROPN
fumecheng-2694	320	24	and	and	CCONJ
fumecheng-2694	320	25	geometrically	geometrically	ADV
fumecheng-2694	320	26	nonlinear	nonlinear	VERB
fumecheng-2694	320	27	analysis	analysis	NOUN
fumecheng-2694	320	28	of	of	ADP
fumecheng-2694	320	29	piezoelectric	piezoelectric	ADJ
fumecheng-2694	320	30	laminated	laminate	VERB
fumecheng-2694	320	31	structures	structure	NOUN
fumecheng-2694	320	32	,	,	PUNCT
fumecheng-2694	320	33	journal	journal	NOUN
fumecheng-2694	320	34	of	of	ADP
fumecheng-2694	320	35	intelligent	intelligent	ADJ
fumecheng-2694	320	36	material	material	NOUN
fumecheng-2694	320	37	systems	system	NOUN
fumecheng-2694	320	38	and	and	CCONJ
fumecheng-2694	320	39	structures	structure	NOUN
fumecheng-2694	320	40	,	,	PUNCT
fumecheng-2694	320	41	accepted	accept	VERB
fumecheng-2694	320	42	for	for	ADP
fumecheng-2694	320	43	publishing	publishing	NOUN
fumecheng-2694	320	44	.	.	PUNCT
fumecheng-2694	321	1	23	23	NUM
fumecheng-2694	321	2	.	.	PUNCT
fumecheng-2694	322	1	marinković	marinković	ADJ
fumecheng-2694	322	2	,	,	PUNCT
fumecheng-2694	322	3	d.	d.	PROPN
fumecheng-2694	322	4	,	,	PUNCT
fumecheng-2694	322	5	zehn	zehn	PROPN
fumecheng-2694	322	6	,	,	PUNCT
fumecheng-2694	322	7	m.	m.	NOUN
fumecheng-2694	322	8	,	,	PUNCT
fumecheng-2694	322	9	marinković	marinković	PROPN
fumecheng-2694	322	10	,	,	PUNCT
fumecheng-2694	322	11	z.	z.	PROPN
fumecheng-2694	322	12	,	,	PUNCT
fumecheng-2694	322	13	2012	2012	NUM
fumecheng-2694	322	14	,	,	PUNCT
fumecheng-2694	322	15	finite	finite	ADJ
fumecheng-2694	322	16	element	element	NOUN
fumecheng-2694	322	17	formulations	formulation	NOUN
fumecheng-2694	322	18	for	for	ADP
fumecheng-2694	322	19	effective	effective	ADJ
fumecheng-2694	322	20	computations	computation	NOUN
fumecheng-2694	322	21	of	of	ADP
fumecheng-2694	322	22	geometrically	geometrically	ADV
fumecheng-2694	322	23	nonlinear	nonlinear	ADJ
fumecheng-2694	322	24	deformations	deformation	NOUN
fumecheng-2694	322	25	,	,	PUNCT
fumecheng-2694	322	26	advances	advance	NOUN
fumecheng-2694	322	27	in	in	ADP
fumecheng-2694	322	28	engineering	engineering	NOUN
fumecheng-2694	322	29	software	software	NOUN
fumecheng-2694	322	30	,	,	PUNCT
fumecheng-2694	322	31	50	50	NUM
fumecheng-2694	322	32	,	,	PUNCT
fumecheng-2694	322	33	pp	pp	ADJ
fumecheng-2694	322	34	.	.	PUNCT
fumecheng-2694	323	1	3	3	NUM
fumecheng-2694	323	2	-	-	SYM
fumecheng-2694	323	3	11	11	NUM
fumecheng-2694	323	4	.	.	X
fumecheng-2694	324	1	24	24	NUM
fumecheng-2694	324	2	.	.	PUNCT
fumecheng-2694	324	3	tiersten	tiersten	VERB
fumecheng-2694	324	4	,	,	PUNCT
fumecheng-2694	324	5	h.f	h.f	PROPN
fumecheng-2694	324	6	.	.	PROPN
fumecheng-2694	324	7	,	,	PUNCT
fumecheng-2694	324	8	1969	1969	NUM
fumecheng-2694	324	9	,	,	PUNCT
fumecheng-2694	324	10	linear	linear	ADJ
fumecheng-2694	324	11	piezoelectric	piezoelectric	NOUN
fumecheng-2694	324	12	plate	plate	NOUN
fumecheng-2694	324	13	vibrations	vibration	NOUN
fumecheng-2694	324	14	,	,	PUNCT
fumecheng-2694	324	15	springer	springer	NOUN
fumecheng-2694	324	16	,	,	PUNCT
fumecheng-2694	324	17	plenum	plenum	PROPN
fumecheng-2694	324	18	,	,	PUNCT
fumecheng-2694	324	19	new	new	PROPN
fumecheng-2694	324	20	york	york	PROPN
fumecheng-2694	324	21	.	.	PUNCT
fumecheng-2694	325	1	25	25	NUM
fumecheng-2694	325	2	.	.	PUNCT
fumecheng-2694	326	1	bathe	bathe	VERB
fumecheng-2694	326	2	,	,	PUNCT
fumecheng-2694	326	3	k.j	k.j	PROPN
fumecheng-2694	326	4	.	.	PROPN
fumecheng-2694	326	5	,	,	PUNCT
fumecheng-2694	326	6	1996	1996	NUM
fumecheng-2694	326	7	,	,	PUNCT
fumecheng-2694	326	8	finite	finite	PROPN
fumecheng-2694	326	9	element	element	NOUN
fumecheng-2694	326	10	procedures	procedure	NOUN
fumecheng-2694	326	11	in	in	ADP
fumecheng-2694	326	12	engineering	engineering	NOUN
fumecheng-2694	326	13	analysis	analysis	NOUN
fumecheng-2694	326	14	,	,	PUNCT
fumecheng-2694	326	15	prentice	prentice	NOUN
fumecheng-2694	326	16	hall	hall	PROPN
fumecheng-2694	326	17	,	,	PUNCT
fumecheng-2694	326	18	inc	inc	PROPN
fumecheng-2694	326	19	.	.	PROPN
fumecheng-2694	326	20	,	,	PUNCT
fumecheng-2694	326	21	englewood	englewood	PROPN
fumecheng-2694	326	22	cliffs	cliffs	PROPN
fumecheng-2694	326	23	,	,	PUNCT
fumecheng-2694	326	24	new	new	PROPN
fumecheng-2694	326	25	jersey	jersey	PROPN
fumecheng-2694	326	26	.	.	PUNCT
fumecheng-2694	327	1	26	26	NUM
fumecheng-2694	327	2	.	.	PUNCT
fumecheng-2694	328	1	saravanos	saravano	NOUN
fumecheng-2694	328	2	,	,	PUNCT
fumecheng-2694	328	3	d.a	d.a	PROPN
fumecheng-2694	328	4	.	.	PROPN
fumecheng-2694	328	5	,	,	PUNCT
fumecheng-2694	328	6	heyliger	heyliger	PROPN
fumecheng-2694	328	7	,	,	PUNCT
fumecheng-2694	328	8	p.r	p.r	PROPN
fumecheng-2694	328	9	.	.	PROPN
fumecheng-2694	328	10	,	,	PUNCT
fumecheng-2694	328	11	hopkins	hopkins	PROPN
fumecheng-2694	328	12	d.a	d.a	PROPN
fumecheng-2694	328	13	.	.	PROPN
fumecheng-2694	328	14	,	,	PUNCT
fumecheng-2694	328	15	1996	1996	NUM
fumecheng-2694	328	16	,	,	PUNCT
fumecheng-2694	328	17	layerwise	layerwise	VERB
fumecheng-2694	328	18	mechanics	mechanic	NOUN
fumecheng-2694	328	19	and	and	CCONJ
fumecheng-2694	328	20	finite	finite	ADJ
fumecheng-2694	328	21	element	element	NOUN
fumecheng-2694	328	22	for	for	ADP
fumecheng-2694	328	23	the	the	DET
fumecheng-2694	328	24	dynamic	dynamic	ADJ
fumecheng-2694	328	25	analysis	analysis	NOUN
fumecheng-2694	328	26	of	of	ADP
fumecheng-2694	328	27	piezoelectric	piezoelectric	ADJ
fumecheng-2694	328	28	composite	composite	ADJ
fumecheng-2694	328	29	plates	plate	NOUN
fumecheng-2694	328	30	,	,	PUNCT
fumecheng-2694	328	31	int	int	NOUN
fumecheng-2694	328	32	.	.	PUNCT
fumecheng-2694	329	1	j.	j.	PROPN
fumecheng-2694	329	2	solids	solids	PROPN
fumecheng-2694	329	3	struct	struct	NOUN
fumecheng-2694	329	4	.	.	PUNCT
fumecheng-2694	329	5	,	,	PUNCT
fumecheng-2694	329	6	4	4	NUM
fumecheng-2694	329	7	,	,	PUNCT
fumecheng-2694	329	8	pp	pp	ADP
fumecheng-2694	329	9	359–78	359–78	NOUN
fumecheng-2694	329	10	.	.	PUNCT
fumecheng-2694	330	1	27	27	NUM
fumecheng-2694	330	2	.	.	PUNCT
fumecheng-2694	331	1	lam	lam	PROPN
fumecheng-2694	331	2	,	,	PUNCT
fumecheng-2694	331	3	k.y	k.y	PROPN
fumecheng-2694	331	4	.	.	PROPN
fumecheng-2694	331	5	,	,	PUNCT
fumecheng-2694	331	6	peng	peng	PROPN
fumecheng-2694	331	7	x.q	x.q	PROPN
fumecheng-2694	331	8	.	.	PROPN
fumecheng-2694	331	9	,	,	PUNCT
fumecheng-2694	331	10	liu	liu	PROPN
fumecheng-2694	331	11	g.r	g.r	PROPN
fumecheng-2694	331	12	.	.	PROPN
fumecheng-2694	331	13	,	,	PUNCT
fumecheng-2694	331	14	reddy	reddy	PROPN
fumecheng-2694	331	15	j.n	j.n	PROPN
fumecheng-2694	331	16	.	.	PROPN
fumecheng-2694	331	17	,	,	PUNCT
fumecheng-2694	331	18	1997	1997	NUM
fumecheng-2694	331	19	,	,	PUNCT
fumecheng-2694	331	20	a	a	DET
fumecheng-2694	331	21	finite	finite	ADJ
fumecheng-2694	331	22	-	-	ADJ
fumecheng-2694	331	23	element	element	ADJ
fumecheng-2694	331	24	model	model	NOUN
fumecheng-2694	331	25	for	for	ADP
fumecheng-2694	331	26	piezoelectric	piezoelectric	ADJ
fumecheng-2694	331	27	composite	composite	ADJ
fumecheng-2694	331	28	laminates	laminate	NOUN
fumecheng-2694	331	29	,	,	PUNCT
fumecheng-2694	331	30	smart	smart	ADJ
fumecheng-2694	331	31	mater	mater	NOUN
fumecheng-2694	331	32	.	.	PUNCT
fumecheng-2694	331	33	struct	struct	NOUN
fumecheng-2694	331	34	.	.	PUNCT
fumecheng-2694	331	35	,	,	PUNCT
fumecheng-2694	331	36	6	6	NUM
fumecheng-2694	331	37	,	,	PUNCT
fumecheng-2694	331	38	pp	pp	ADJ
fumecheng-2694	331	39	.	.	PUNCT
fumecheng-2694	332	1	583	583	NUM
fumecheng-2694	332	2	-	-	SYM
fumecheng-2694	332	3	591	591	NUM
fumecheng-2694	332	4	.	.	PUNCT
fumecheng-2694	333	1	28	28	NUM
fumecheng-2694	333	2	.	.	X
fumecheng-2694	334	1	zhang	zhang	PROPN
fumecheng-2694	334	2	,	,	PUNCT
fumecheng-2694	334	3	s.	s.	PROPN
fumecheng-2694	334	4	,	,	PUNCT
fumecheng-2694	334	5	2014	2014	NUM
fumecheng-2694	334	6	,	,	PUNCT
fumecheng-2694	334	7	nonlinear	nonlinear	NOUN
fumecheng-2694	334	8	fe	fe	X
fumecheng-2694	334	9	simulation	simulation	NOUN
fumecheng-2694	334	10	and	and	CCONJ
fumecheng-2694	334	11	active	active	ADJ
fumecheng-2694	334	12	vibration	vibration	NOUN
fumecheng-2694	334	13	control	control	NOUN
fumecheng-2694	334	14	of	of	ADP
fumecheng-2694	334	15	piezoelectric	piezoelectric	NOUN
fumecheng-2694	334	16	laminated	laminate	VERB
fumecheng-2694	334	17	thin	thin	ADJ
fumecheng-2694	334	18	-	-	PUNCT
fumecheng-2694	334	19	walled	walled	ADJ
fumecheng-2694	334	20	smart	smart	ADJ
fumecheng-2694	334	21	structures	structure	NOUN
fumecheng-2694	334	22	,	,	PUNCT
fumecheng-2694	334	23	phd	phd	NOUN
fumecheng-2694	334	24	thesis	thesis	NOUN
fumecheng-2694	334	25	,	,	PUNCT
fumecheng-2694	334	26	institute	institute	PROPN
fumecheng-2694	334	27	of	of	ADP
fumecheng-2694	334	28	general	general	ADJ
fumecheng-2694	334	29	mechanics	mechanic	NOUN
fumecheng-2694	334	30	rwth	rwth	PROPN
fumecheng-2694	334	31	aachen	aachen	PROPN
fumecheng-2694	334	32	university	university	PROPN
fumecheng-2694	334	33	.	.	PUNCT
fumecheng-2694	335	1	29	29	NUM
fumecheng-2694	335	2	.	.	X
fumecheng-2694	336	1	zhang	zhang	PROPN
fumecheng-2694	336	2	,	,	PUNCT
fumecheng-2694	336	3	s.	s.	PROPN
fumecheng-2694	336	4	,	,	PUNCT
fumecheng-2694	336	5	schmidt	schmidt	PROPN
fumecheng-2694	336	6	,	,	PUNCT
fumecheng-2694	336	7	r.	r.	PROPN
fumecheng-2694	336	8	,	,	PUNCT
fumecheng-2694	336	9	qin	qin	PROPN
fumecheng-2694	336	10	,	,	PUNCT
fumecheng-2694	336	11	x.	x.	NOUN
fumecheng-2694	336	12	,	,	PUNCT
fumecheng-2694	336	13	2015	2015	NUM
fumecheng-2694	336	14	,	,	PUNCT
fumecheng-2694	336	15	active	active	ADJ
fumecheng-2694	336	16	vibration	vibration	NOUN
fumecheng-2694	336	17	control	control	NOUN
fumecheng-2694	336	18	of	of	ADP
fumecheng-2694	336	19	piezoelectric	piezoelectric	NOUN
fumecheng-2694	336	20	bonded	bond	VERB
fumecheng-2694	336	21	smart	smart	ADJ
fumecheng-2694	336	22	structures	structure	NOUN
fumecheng-2694	336	23	using	use	VERB
fumecheng-2694	336	24	pid	pid	NOUN
fumecheng-2694	336	25	algorithm	algorithm	NOUN
fumecheng-2694	336	26	,	,	PUNCT
fumecheng-2694	336	27	chinese	chinese	ADJ
fumecheng-2694	336	28	journal	journal	PROPN
fumecheng-2694	336	29	of	of	ADP
fumecheng-2694	336	30	aeronautics	aeronautic	NOUN
fumecheng-2694	336	31	,	,	PUNCT
fumecheng-2694	336	32	28(1	28(1	NOUN
fumecheng-2694	336	33	)	)	PUNCT
fumecheng-2694	336	34	,	,	PUNCT
fumecheng-2694	336	35	pp	pp	ADJ
fumecheng-2694	336	36	.	.	PUNCT
fumecheng-2694	337	1	305	305	NUM
fumecheng-2694	337	2	-	-	SYM
fumecheng-2694	337	3	313	313	NUM
fumecheng-2694	337	4	.	.	PUNCT