id	sid	tid	token	lemma	pos
fumecheng-12165	1	1	12165	12165	NUM
fumecheng-12165	1	2	facta	facta	NOUN
fumecheng-12165	1	3	universitatis	universitatis	PROPN
fumecheng-12165	1	4	series	series	NOUN
fumecheng-12165	1	5	:	:	PUNCT
fumecheng-12165	1	6	mechanical	mechanical	ADJ
fumecheng-12165	1	7	engineering	engineering	NOUN
fumecheng-12165	1	8	vol	vol	NOUN
fumecheng-12165	1	9	.	.	PROPN
fumecheng-12165	1	10	21	21	NUM
fumecheng-12165	1	11	,	,	PUNCT
fumecheng-12165	1	12	no	no	DET
fumecheng-12165	1	13	4	4	NUM
fumecheng-12165	1	14	,	,	PUNCT
fumecheng-12165	1	15	2023	2023	NUM
fumecheng-12165	1	16	,	,	PUNCT
fumecheng-12165	1	17	pp	pp	ADJ
fumecheng-12165	1	18	.	.	PUNCT
fumecheng-12165	2	1	591	591	NUM
fumecheng-12165	2	2	614	614	NUM
fumecheng-12165	2	3	https://doi.org/10.22190/fume231004045e	https://doi.org/10.22190/fume231004045e	X
fumecheng-12165	2	4	©	©	PROPN
fumecheng-12165	2	5	2023	2023	NUM
fumecheng-12165	2	6	by	by	ADP
fumecheng-12165	2	7	university	university	PROPN
fumecheng-12165	2	8	of	of	ADP
fumecheng-12165	2	9	niš	niš	PROPN
fumecheng-12165	2	10	,	,	PUNCT
fumecheng-12165	2	11	serbia	serbia	PROPN
fumecheng-12165	2	12	|	|	ADV
fumecheng-12165	2	13	creative	creative	ADJ
fumecheng-12165	2	14	commons	common	NOUN
fumecheng-12165	2	15	license	license	NOUN
fumecheng-12165	2	16	:	:	PUNCT
fumecheng-12165	2	17	cc	cc	VERB
fumecheng-12165	2	18	by	by	ADP
fumecheng-12165	2	19	-	-	PUNCT
fumecheng-12165	2	20	nc	nc	VERB
fumecheng-12165	2	21	-	-	PUNCT
fumecheng-12165	2	22	nd	nd	ADV
fumecheng-12165	2	23	original	original	ADJ
fumecheng-12165	2	24	scientific	scientific	ADJ
fumecheng-12165	2	25	paper	paper	ADJ
fumecheng-12165	2	26	finite	finite	ADJ
fumecheng-12165	2	27	element	element	NOUN
fumecheng-12165	2	28	analysis	analysis	NOUN
fumecheng-12165	2	29	for	for	ADP
fumecheng-12165	2	30	dynamic	dynamic	ADJ
fumecheng-12165	2	31	response	response	NOUN
fumecheng-12165	2	32	of	of	ADP
fumecheng-12165	2	33	viscoelastic	viscoelastic	NOUN
fumecheng-12165	2	34	sandwiched	sandwich	VERB
fumecheng-12165	2	35	structures	structure	NOUN
fumecheng-12165	2	36	integrated	integrate	VERB
fumecheng-12165	2	37	with	with	ADP
fumecheng-12165	2	38	aluminum	aluminum	NOUN
fumecheng-12165	2	39	sheets	sheet	NOUN
fumecheng-12165	2	40	yasser	yasser	PROPN
fumecheng-12165	2	41	hamed	hamed	PROPN
fumecheng-12165	2	42	elmoghazy1,2	elmoghazy1,2	PROPN
fumecheng-12165	2	43	,	,	PUNCT
fumecheng-12165	2	44	babak	babak	PROPN
fumecheng-12165	2	45	safaei1,2,3	safaei1,2,3	NOUN
fumecheng-12165	2	46	,	,	PUNCT
fumecheng-12165	2	47	saeid	saeid	PROPN
fumecheng-12165	2	48	sahmani4	sahmani4	PROPN
fumecheng-12165	2	49	1nanotechnology	1nanotechnology	NUM
fumecheng-12165	2	50	and	and	CCONJ
fumecheng-12165	2	51	multifunctional	multifunctional	ADJ
fumecheng-12165	2	52	structures	structure	NOUN
fumecheng-12165	2	53	research	research	NOUN
fumecheng-12165	2	54	center	center	NOUN
fumecheng-12165	2	55	(	(	PUNCT
fumecheng-12165	2	56	nmsrc	nmsrc	PROPN
fumecheng-12165	2	57	)	)	PUNCT
fumecheng-12165	2	58	,	,	PUNCT
fumecheng-12165	2	59	eastern	eastern	PROPN
fumecheng-12165	2	60	mediterranean	mediterranean	PROPN
fumecheng-12165	2	61	university	university	PROPN
fumecheng-12165	2	62	,	,	PUNCT
fumecheng-12165	2	63	famagusta	famagusta	PROPN
fumecheng-12165	2	64	,	,	PUNCT
fumecheng-12165	2	65	turkey	turkey	PROPN
fumecheng-12165	2	66	2department	2department	NUM
fumecheng-12165	2	67	of	of	ADP
fumecheng-12165	2	68	mechanical	mechanical	ADJ
fumecheng-12165	2	69	engineering	engineering	NOUN
fumecheng-12165	2	70	,	,	PUNCT
fumecheng-12165	2	71	eastern	eastern	PROPN
fumecheng-12165	2	72	mediterranean	mediterranean	PROPN
fumecheng-12165	2	73	university	university	PROPN
fumecheng-12165	2	74	,	,	PUNCT
fumecheng-12165	2	75	famagusta	famagusta	PROPN
fumecheng-12165	2	76	,	,	PUNCT
fumecheng-12165	2	77	turkey	turkey	PROPN
fumecheng-12165	2	78	3department	3department	NUM
fumecheng-12165	2	79	of	of	ADP
fumecheng-12165	2	80	mechanical	mechanical	ADJ
fumecheng-12165	2	81	engineering	engineering	NOUN
fumecheng-12165	2	82	science	science	NOUN
fumecheng-12165	2	83	,	,	PUNCT
fumecheng-12165	2	84	university	university	PROPN
fumecheng-12165	2	85	of	of	ADP
fumecheng-12165	2	86	johannesburg	johannesburg	PROPN
fumecheng-12165	2	87	,	,	PUNCT
fumecheng-12165	2	88	south	south	PROPN
fumecheng-12165	2	89	africa	africa	PROPN
fumecheng-12165	3	1	4school	4school	NUM
fumecheng-12165	3	2	of	of	ADP
fumecheng-12165	3	3	science	science	NOUN
fumecheng-12165	3	4	and	and	CCONJ
fumecheng-12165	3	5	technology	technology	NOUN
fumecheng-12165	3	6	,	,	PUNCT
fumecheng-12165	3	7	the	the	DET
fumecheng-12165	3	8	university	university	NOUN
fumecheng-12165	3	9	of	of	ADP
fumecheng-12165	3	10	georgia	georgia	PROPN
fumecheng-12165	3	11	,	,	PUNCT
fumecheng-12165	3	12	tbilisi	tbilisi	PROPN
fumecheng-12165	3	13	,	,	PUNCT
fumecheng-12165	3	14	georgia	georgia	PROPN
fumecheng-12165	3	15	abstract	abstract	NOUN
fumecheng-12165	3	16	.	.	PUNCT
fumecheng-12165	4	1	passive	passive	ADJ
fumecheng-12165	4	2	vibration	vibration	NOUN
fumecheng-12165	4	3	attenuation	attenuation	NOUN
fumecheng-12165	4	4	of	of	ADP
fumecheng-12165	4	5	modern	modern	ADJ
fumecheng-12165	4	6	mechanical	mechanical	ADJ
fumecheng-12165	4	7	structures	structure	NOUN
fumecheng-12165	4	8	is	be	AUX
fumecheng-12165	4	9	one	one	NUM
fumecheng-12165	4	10	of	of	ADP
fumecheng-12165	4	11	the	the	DET
fumecheng-12165	4	12	most	most	ADV
fumecheng-12165	4	13	essential	essential	ADJ
fumecheng-12165	4	14	technologies	technology	NOUN
fumecheng-12165	4	15	applied	apply	VERB
fumecheng-12165	4	16	to	to	ADP
fumecheng-12165	4	17	the	the	DET
fumecheng-12165	4	18	arsenal	arsenal	NOUN
fumecheng-12165	4	19	of	of	ADP
fumecheng-12165	4	20	modern	modern	ADJ
fumecheng-12165	4	21	mechanical	mechanical	ADJ
fumecheng-12165	4	22	structures	structure	NOUN
fumecheng-12165	4	23	.	.	PUNCT
fumecheng-12165	5	1	in	in	ADP
fumecheng-12165	5	2	this	this	DET
fumecheng-12165	5	3	work	work	NOUN
fumecheng-12165	5	4	,	,	PUNCT
fumecheng-12165	5	5	dynamics	dynamic	NOUN
fumecheng-12165	5	6	analysis	analysis	NOUN
fumecheng-12165	5	7	is	be	AUX
fumecheng-12165	5	8	performed	perform	VERB
fumecheng-12165	5	9	on	on	ADP
fumecheng-12165	5	10	viscoelastic	viscoelastic	NOUN
fumecheng-12165	5	11	(	(	PUNCT
fumecheng-12165	5	12	ve	ve	NOUN
fumecheng-12165	5	13	)	)	PUNCT
fumecheng-12165	5	14	sandwich	sandwich	NOUN
fumecheng-12165	5	15	beam	beam	NOUN
fumecheng-12165	5	16	and	and	CCONJ
fumecheng-12165	5	17	plate	plate	NOUN
fumecheng-12165	5	18	by	by	ADP
fumecheng-12165	5	19	using	use	VERB
fumecheng-12165	5	20	finite	finite	ADJ
fumecheng-12165	5	21	element	element	NOUN
fumecheng-12165	5	22	method	method	NOUN
fumecheng-12165	5	23	.	.	PUNCT
fumecheng-12165	6	1	the	the	DET
fumecheng-12165	6	2	proposed	propose	VERB
fumecheng-12165	6	3	structure	structure	NOUN
fumecheng-12165	6	4	is	be	AUX
fumecheng-12165	6	5	composed	compose	VERB
fumecheng-12165	6	6	of	of	ADP
fumecheng-12165	6	7	a	a	DET
fumecheng-12165	6	8	ve	ve	NOUN
fumecheng-12165	6	9	core	core	NOUN
fumecheng-12165	6	10	and	and	CCONJ
fumecheng-12165	6	11	aluminum	aluminum	NOUN
fumecheng-12165	6	12	face	face	NOUN
fumecheng-12165	6	13	sheets	sheet	NOUN
fumecheng-12165	6	14	as	as	ADP
fumecheng-12165	6	15	substrate	substrate	NOUN
fumecheng-12165	6	16	layers	layer	NOUN
fumecheng-12165	6	17	on	on	ADP
fumecheng-12165	6	18	both	both	DET
fumecheng-12165	6	19	sides	side	NOUN
fumecheng-12165	6	20	of	of	ADP
fumecheng-12165	6	21	the	the	DET
fumecheng-12165	6	22	structure	structure	NOUN
fumecheng-12165	6	23	.	.	PUNCT
fumecheng-12165	7	1	small	small	ADJ
fumecheng-12165	7	2	-	-	PUNCT
fumecheng-12165	7	3	strain	strain	NOUN
fumecheng-12165	7	4	ve	ve	NOUN
fumecheng-12165	7	5	material	material	NOUN
fumecheng-12165	7	6	is	be	AUX
fumecheng-12165	7	7	modeled	model	VERB
fumecheng-12165	7	8	based	base	VERB
fumecheng-12165	7	9	on	on	ADP
fumecheng-12165	7	10	complex	complex	ADJ
fumecheng-12165	7	11	constant	constant	ADJ
fumecheng-12165	7	12	moduli	modulus	NOUN
fumecheng-12165	7	13	model	model	NOUN
fumecheng-12165	7	14	and	and	CCONJ
fumecheng-12165	7	15	numerical	numerical	ADJ
fumecheng-12165	7	16	method	method	NOUN
fumecheng-12165	7	17	is	be	AUX
fumecheng-12165	7	18	used	use	VERB
fumecheng-12165	7	19	to	to	PART
fumecheng-12165	7	20	develop	develop	VERB
fumecheng-12165	7	21	the	the	DET
fumecheng-12165	7	22	finite	finite	ADJ
fumecheng-12165	7	23	element	element	NOUN
fumecheng-12165	7	24	(	(	PUNCT
fumecheng-12165	7	25	fe	fe	NOUN
fumecheng-12165	7	26	)	)	PUNCT
fumecheng-12165	7	27	shear	shear	NOUN
fumecheng-12165	7	28	model	model	NOUN
fumecheng-12165	7	29	based	base	VERB
fumecheng-12165	7	30	on	on	ADP
fumecheng-12165	7	31	first	first	ADJ
fumecheng-12165	7	32	-	-	PUNCT
fumecheng-12165	7	33	order	order	NOUN
fumecheng-12165	7	34	shear	shear	NOUN
fumecheng-12165	7	35	deformation	deformation	NOUN
fumecheng-12165	7	36	theory	theory	NOUN
fumecheng-12165	7	37	(	(	PUNCT
fumecheng-12165	7	38	fsdt	fsdt	NOUN
fumecheng-12165	7	39	)	)	PUNCT
fumecheng-12165	7	40	and	and	CCONJ
fumecheng-12165	7	41	hamilton	hamilton	PROPN
fumecheng-12165	7	42	principle	principle	PROPN
fumecheng-12165	7	43	.	.	PUNCT
fumecheng-12165	8	1	in	in	ADP
fumecheng-12165	8	2	modal	modal	ADJ
fumecheng-12165	8	3	analysis	analysis	NOUN
fumecheng-12165	8	4	,	,	PUNCT
fumecheng-12165	8	5	model	model	NOUN
fumecheng-12165	8	6	-	-	PUNCT
fumecheng-12165	8	7	effective	effective	ADJ
fumecheng-12165	8	8	mass	mass	NOUN
fumecheng-12165	8	9	analysis	analysis	NOUN
fumecheng-12165	8	10	is	be	AUX
fumecheng-12165	8	11	performed	perform	VERB
fumecheng-12165	8	12	to	to	PART
fumecheng-12165	8	13	investigate	investigate	VERB
fumecheng-12165	8	14	its	its	PRON
fumecheng-12165	8	15	dominant	dominant	ADJ
fumecheng-12165	8	16	mode	mode	NOUN
fumecheng-12165	8	17	shape	shape	NOUN
fumecheng-12165	8	18	and	and	CCONJ
fumecheng-12165	8	19	sweet	sweet	ADJ
fumecheng-12165	8	20	spot	spot	NOUN
fumecheng-12165	8	21	at	at	ADP
fumecheng-12165	8	22	resonance	resonance	NOUN
fumecheng-12165	8	23	using	use	VERB
fumecheng-12165	8	24	c3d20	c3d20	ADJ
fumecheng-12165	8	25	and	and	CCONJ
fumecheng-12165	8	26	cps8	cps8	NOUN
fumecheng-12165	8	27	elements	element	NOUN
fumecheng-12165	8	28	.	.	PUNCT
fumecheng-12165	9	1	the	the	DET
fumecheng-12165	9	2	former	former	ADJ
fumecheng-12165	9	3	is	be	AUX
fumecheng-12165	9	4	indicated	indicate	VERB
fumecheng-12165	9	5	as	as	ADP
fumecheng-12165	9	6	a	a	DET
fumecheng-12165	9	7	3	3	NUM
fumecheng-12165	9	8	-	-	PUNCT
fumecheng-12165	9	9	d	d	NOUN
fumecheng-12165	9	10	element	element	NOUN
fumecheng-12165	9	11	with	with	ADP
fumecheng-12165	9	12	20	20	NUM
fumecheng-12165	9	13	nodes	node	NOUN
fumecheng-12165	9	14	while	while	SCONJ
fumecheng-12165	9	15	the	the	DET
fumecheng-12165	9	16	latter	latter	ADJ
fumecheng-12165	9	17	is	be	AUX
fumecheng-12165	9	18	indicated	indicate	VERB
fumecheng-12165	9	19	as	as	ADP
fumecheng-12165	9	20	a	a	DET
fumecheng-12165	9	21	2	2	NUM
fumecheng-12165	9	22	-	-	PUNCT
fumecheng-12165	9	23	d	d	NOUN
fumecheng-12165	9	24	plane	plane	NOUN
fumecheng-12165	9	25	strain	strain	NOUN
fumecheng-12165	9	26	element	element	NOUN
fumecheng-12165	9	27	with	with	ADP
fumecheng-12165	9	28	eight	eight	NUM
fumecheng-12165	9	29	nodes	node	NOUN
fumecheng-12165	9	30	.	.	PUNCT
fumecheng-12165	10	1	in	in	ADP
fumecheng-12165	10	2	harmonic	harmonic	ADJ
fumecheng-12165	10	3	analysis	analysis	NOUN
fumecheng-12165	10	4	,	,	PUNCT
fumecheng-12165	10	5	resonance	resonance	NOUN
fumecheng-12165	10	6	frequency	frequency	NOUN
fumecheng-12165	10	7	is	be	AUX
fumecheng-12165	10	8	obtained	obtain	VERB
fumecheng-12165	10	9	based	base	VERB
fumecheng-12165	10	10	on	on	ADP
fumecheng-12165	10	11	mode	mode	NOUN
fumecheng-12165	10	12	superposition	superposition	NOUN
fumecheng-12165	10	13	method	method	NOUN
fumecheng-12165	10	14	to	to	PART
fumecheng-12165	10	15	evaluate	evaluate	VERB
fumecheng-12165	10	16	the	the	DET
fumecheng-12165	10	17	steady	steady	ADJ
fumecheng-12165	10	18	-	-	PUNCT
fumecheng-12165	10	19	state	state	NOUN
fumecheng-12165	10	20	response	response	NOUN
fumecheng-12165	10	21	of	of	ADP
fumecheng-12165	10	22	ve	ve	VERB
fumecheng-12165	10	23	sandwich	sandwich	NOUN
fumecheng-12165	10	24	beam	beam	NOUN
fumecheng-12165	10	25	via	via	ADP
fumecheng-12165	10	26	maximum	maximum	ADJ
fumecheng-12165	10	27	deformation	deformation	NOUN
fumecheng-12165	10	28	.	.	PUNCT
fumecheng-12165	11	1	thereafter	thereafter	ADV
fumecheng-12165	11	2	,	,	PUNCT
fumecheng-12165	11	3	the	the	DET
fumecheng-12165	11	4	results	result	NOUN
fumecheng-12165	11	5	are	be	AUX
fumecheng-12165	11	6	compared	compare	VERB
fumecheng-12165	11	7	against	against	ADP
fumecheng-12165	11	8	analytical	analytical	ADJ
fumecheng-12165	11	9	solutions	solution	NOUN
fumecheng-12165	11	10	from	from	ADP
fumecheng-12165	11	11	the	the	DET
fumecheng-12165	11	12	literature	literature	NOUN
fumecheng-12165	11	13	.	.	PUNCT
fumecheng-12165	12	1	moreover	moreover	ADV
fumecheng-12165	12	2	,	,	PUNCT
fumecheng-12165	12	3	a	a	DET
fumecheng-12165	12	4	parametric	parametric	ADJ
fumecheng-12165	12	5	study	study	NOUN
fumecheng-12165	12	6	shows	show	VERB
fumecheng-12165	12	7	that	that	SCONJ
fumecheng-12165	12	8	the	the	DET
fumecheng-12165	12	9	natural	natural	ADJ
fumecheng-12165	12	10	frequency	frequency	NOUN
fumecheng-12165	12	11	of	of	ADP
fumecheng-12165	12	12	the	the	DET
fumecheng-12165	12	13	beam	beam	NOUN
fumecheng-12165	12	14	did	do	AUX
fumecheng-12165	12	15	not	not	PART
fumecheng-12165	12	16	change	change	VERB
fumecheng-12165	12	17	with	with	ADP
fumecheng-12165	12	18	the	the	DET
fumecheng-12165	12	19	increase	increase	NOUN
fumecheng-12165	12	20	in	in	ADP
fumecheng-12165	12	21	core	core	ADJ
fumecheng-12165	12	22	thickness	thickness	NOUN
fumecheng-12165	12	23	.	.	PUNCT
fumecheng-12165	13	1	however	however	ADV
fumecheng-12165	13	2	,	,	PUNCT
fumecheng-12165	13	3	normalized	normalize	VERB
fumecheng-12165	13	4	loss	loss	NOUN
fumecheng-12165	13	5	factor	factor	NOUN
fumecheng-12165	13	6	of	of	ADP
fumecheng-12165	13	7	ve	ve	VERB
fumecheng-12165	13	8	sandwich	sandwich	NOUN
fumecheng-12165	13	9	beam	beam	NOUN
fumecheng-12165	13	10	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	13	11	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	13	12	is	be	AUX
fumecheng-12165	13	13	directly	directly	ADV
fumecheng-12165	13	14	proportional	proportional	ADJ
fumecheng-12165	13	15	to	to	PART
fumecheng-12165	13	16	ve	ve	AUX
fumecheng-12165	13	17	damping	damp	VERB
fumecheng-12165	13	18	factor	factor	NOUN
fumecheng-12165	13	19	𝜂𝑣	𝜂𝑣	CCONJ
fumecheng-12165	14	1	and	and	CCONJ
fumecheng-12165	14	2	the	the	DET
fumecheng-12165	14	3	thickness	thickness	NOUN
fumecheng-12165	14	4	of	of	ADP
fumecheng-12165	14	5	ve	ve	NOUN
fumecheng-12165	14	6	core	core	NOUN
fumecheng-12165	14	7	layer	layer	NOUN
fumecheng-12165	14	8	.	.	PUNCT
fumecheng-12165	15	1	based	base	VERB
fumecheng-12165	15	2	on	on	ADP
fumecheng-12165	15	3	frequency	frequency	ADJ
fumecheng-12165	15	4	response	response	NOUN
fumecheng-12165	15	5	function	function	NOUN
fumecheng-12165	15	6	,	,	PUNCT
fumecheng-12165	15	7	the	the	DET
fumecheng-12165	15	8	results	result	NOUN
fumecheng-12165	15	9	of	of	ADP
fumecheng-12165	15	10	resonance	resonance	NOUN
fumecheng-12165	15	11	frequencies	frequency	NOUN
fumecheng-12165	15	12	for	for	ADP
fumecheng-12165	15	13	ve	ve	NOUN
fumecheng-12165	15	14	beam	beam	NOUN
fumecheng-12165	15	15	are	be	AUX
fumecheng-12165	15	16	in	in	ADP
fumecheng-12165	15	17	the	the	DET
fumecheng-12165	15	18	range	range	NOUN
fumecheng-12165	15	19	of	of	ADP
fumecheng-12165	15	20	modal	modal	ADJ
fumecheng-12165	15	21	natural	natural	ADJ
fumecheng-12165	15	22	frequency	frequency	NOUN
fumecheng-12165	15	23	.	.	PUNCT
fumecheng-12165	16	1	key	key	ADJ
fumecheng-12165	16	2	words	word	NOUN
fumecheng-12165	16	3	:	:	PUNCT
fumecheng-12165	16	4	viscoelastic	viscoelastic	NOUN
fumecheng-12165	16	5	,	,	PUNCT
fumecheng-12165	16	6	sandwich	sandwich	NOUN
fumecheng-12165	16	7	structure	structure	NOUN
fumecheng-12165	16	8	,	,	PUNCT
fumecheng-12165	16	9	dynamics	dynamic	VERB
fumecheng-12165	16	10	analysis	analysis	NOUN
fumecheng-12165	16	11	,	,	PUNCT
fumecheng-12165	16	12	complex	complex	ADJ
fumecheng-12165	16	13	constant	constant	ADJ
fumecheng-12165	16	14	moduli	modulus	NOUN
fumecheng-12165	16	15	,	,	PUNCT
fumecheng-12165	16	16	normalized	normalize	VERB
fumecheng-12165	16	17	loss	loss	NOUN
fumecheng-12165	16	18	factor	factor	NOUN
fumecheng-12165	16	19	received	receive	VERB
fumecheng-12165	16	20	:	:	PUNCT
fumecheng-12165	16	21	october	october	PROPN
fumecheng-12165	16	22	04	04	NUM
fumecheng-12165	16	23	,	,	PUNCT
fumecheng-12165	16	24	2023	2023	NUM
fumecheng-12165	16	25	/	/	PUNCT
fumecheng-12165	16	26	accepted	accept	VERB
fumecheng-12165	16	27	november	november	PROPN
fumecheng-12165	16	28	26	26	NUM
fumecheng-12165	16	29	,	,	PUNCT
fumecheng-12165	16	30	2023	2023	NUM
fumecheng-12165	16	31	corresponding	correspond	VERB
fumecheng-12165	16	32	author	author	NOUN
fumecheng-12165	16	33	:	:	PUNCT
fumecheng-12165	16	34	babak	babak	PROPN
fumecheng-12165	16	35	safaei	safaei	PROPN
fumecheng-12165	16	36	department	department	PROPN
fumecheng-12165	16	37	of	of	ADP
fumecheng-12165	16	38	mechanical	mechanical	ADJ
fumecheng-12165	16	39	engineering	engineering	NOUN
fumecheng-12165	16	40	,	,	PUNCT
fumecheng-12165	16	41	eastern	eastern	PROPN
fumecheng-12165	16	42	mediterranean	mediterranean	PROPN
fumecheng-12165	16	43	university	university	PROPN
fumecheng-12165	16	44	,	,	PUNCT
fumecheng-12165	16	45	famagusta	famagusta	PROPN
fumecheng-12165	16	46	,	,	PUNCT
fumecheng-12165	16	47	north	north	PROPN
fumecheng-12165	16	48	cyprus	cyprus	PROPN
fumecheng-12165	16	49	via	via	ADP
fumecheng-12165	16	50	mersin	mersin	PROPN
fumecheng-12165	16	51	10	10	NUM
fumecheng-12165	16	52	,	,	PUNCT
fumecheng-12165	16	53	turkey	turkey	PROPN
fumecheng-12165	16	54	department	department	PROPN
fumecheng-12165	16	55	of	of	ADP
fumecheng-12165	16	56	mechanical	mechanical	ADJ
fumecheng-12165	16	57	engineering	engineering	NOUN
fumecheng-12165	16	58	science	science	NOUN
fumecheng-12165	16	59	,	,	PUNCT
fumecheng-12165	16	60	university	university	PROPN
fumecheng-12165	16	61	of	of	ADP
fumecheng-12165	16	62	johannesburg	johannesburg	PROPN
fumecheng-12165	16	63	,	,	PUNCT
fumecheng-12165	16	64	gauteng	gauteng	PROPN
fumecheng-12165	16	65	2006	2006	NUM
fumecheng-12165	16	66	,	,	PUNCT
fumecheng-12165	16	67	south	south	PROPN
fumecheng-12165	16	68	africa	africa	PROPN
fumecheng-12165	16	69	e	e	PROPN
fumecheng-12165	16	70	-	-	NOUN
fumecheng-12165	16	71	mail	mail	NOUN
fumecheng-12165	16	72	:	:	PUNCT
fumecheng-12165	16	73	babak.safaei@emu.edu.tr	babak.safaei@emu.edu.tr	PROPN
fumecheng-12165	16	74	592	592	NUM
fumecheng-12165	16	75	y.	y.	PROPN
fumecheng-12165	16	76	elmoghazy	elmoghazy	PROPN
fumecheng-12165	16	77	,	,	PUNCT
fumecheng-12165	16	78	b.	b.	PROPN
fumecheng-12165	16	79	safaei	safaei	PROPN
fumecheng-12165	16	80	,	,	PUNCT
fumecheng-12165	16	81	s.	s.	PROPN
fumecheng-12165	16	82	sahmani	sahmani	PROPN
fumecheng-12165	16	83	1	1	NUM
fumecheng-12165	16	84	.	.	PUNCT
fumecheng-12165	17	1	introduction	introduction	NOUN
fumecheng-12165	17	2	the	the	DET
fumecheng-12165	17	3	key	key	ADJ
fumecheng-12165	17	4	parameters	parameter	NOUN
fumecheng-12165	17	5	to	to	PART
fumecheng-12165	17	6	obtain	obtain	VERB
fumecheng-12165	17	7	an	an	DET
fumecheng-12165	17	8	optimum	optimum	ADJ
fumecheng-12165	17	9	design	design	NOUN
fumecheng-12165	17	10	of	of	ADP
fumecheng-12165	17	11	modern	modern	ADJ
fumecheng-12165	17	12	mechanical	mechanical	ADJ
fumecheng-12165	17	13	structures	structure	NOUN
fumecheng-12165	17	14	with	with	ADP
fumecheng-12165	17	15	ideal	ideal	ADJ
fumecheng-12165	17	16	performance	performance	NOUN
fumecheng-12165	17	17	are	be	AUX
fumecheng-12165	17	18	lightweight	lightweight	ADJ
fumecheng-12165	17	19	and	and	CCONJ
fumecheng-12165	17	20	noise	noise	NOUN
fumecheng-12165	17	21	control	control	NOUN
fumecheng-12165	17	22	which	which	PRON
fumecheng-12165	17	23	directly	directly	ADV
fumecheng-12165	17	24	lead	lead	VERB
fumecheng-12165	17	25	to	to	ADP
fumecheng-12165	17	26	the	the	DET
fumecheng-12165	17	27	wide	wide	ADJ
fumecheng-12165	17	28	applications	application	NOUN
fumecheng-12165	17	29	of	of	ADP
fumecheng-12165	17	30	thin	thin	ADJ
fumecheng-12165	17	31	-	-	PUNCT
fumecheng-12165	17	32	walled	walled	ADJ
fumecheng-12165	17	33	structures	structure	NOUN
fumecheng-12165	17	34	.	.	PUNCT
fumecheng-12165	18	1	these	these	DET
fumecheng-12165	18	2	structures	structure	NOUN
fumecheng-12165	18	3	can	can	AUX
fumecheng-12165	18	4	be	be	AUX
fumecheng-12165	18	5	represented	represent	VERB
fumecheng-12165	18	6	as	as	ADP
fumecheng-12165	18	7	thin	thin	ADJ
fumecheng-12165	18	8	beams	beam	NOUN
fumecheng-12165	18	9	and	and	CCONJ
fumecheng-12165	18	10	thin	thin	ADJ
fumecheng-12165	18	11	plates	plate	NOUN
fumecheng-12165	18	12	that	that	PRON
fumecheng-12165	18	13	are	be	AUX
fumecheng-12165	18	14	extensively	extensively	ADV
fumecheng-12165	18	15	used	use	VERB
fumecheng-12165	18	16	in	in	ADP
fumecheng-12165	18	17	many	many	ADJ
fumecheng-12165	18	18	engineering	engineering	NOUN
fumecheng-12165	18	19	applications	application	NOUN
fumecheng-12165	18	20	such	such	ADJ
fumecheng-12165	18	21	as	as	ADP
fumecheng-12165	18	22	aerospace	aerospace	NOUN
fumecheng-12165	18	23	[	[	X
fumecheng-12165	18	24	1	1	NUM
fumecheng-12165	18	25	]	]	PUNCT
fumecheng-12165	18	26	,	,	PUNCT
fumecheng-12165	18	27	automobile	automobile	NOUN
fumecheng-12165	18	28	industry	industry	NOUN
fumecheng-12165	18	29	[	[	X
fumecheng-12165	18	30	2	2	NUM
fumecheng-12165	18	31	]	]	PUNCT
fumecheng-12165	18	32	,	,	PUNCT
fumecheng-12165	18	33	and	and	CCONJ
fumecheng-12165	18	34	civil	civil	ADJ
fumecheng-12165	18	35	engineering	engineering	NOUN
fumecheng-12165	18	36	[	[	X
fumecheng-12165	18	37	3	3	NUM
fumecheng-12165	18	38	]	]	PUNCT
fumecheng-12165	18	39	.	.	PUNCT
fumecheng-12165	19	1	since	since	SCONJ
fumecheng-12165	19	2	thin	thin	ADJ
fumecheng-12165	19	3	-	-	PUNCT
fumecheng-12165	19	4	walled	walled	ADJ
fumecheng-12165	19	5	structures	structure	NOUN
fumecheng-12165	19	6	are	be	AUX
fumecheng-12165	19	7	"	"	PUNCT
fumecheng-12165	19	8	light	light	ADJ
fumecheng-12165	19	9	"	"	PUNCT
fumecheng-12165	19	10	and	and	CCONJ
fumecheng-12165	19	11	"	"	PUNCT
fumecheng-12165	19	12	thin	thin	ADJ
fumecheng-12165	19	13	”	"	PUNCT
fumecheng-12165	19	14	,	,	PUNCT
fumecheng-12165	19	15	it	it	PRON
fumecheng-12165	19	16	is	be	AUX
fumecheng-12165	19	17	more	more	ADV
fumecheng-12165	19	18	likely	likely	ADJ
fumecheng-12165	19	19	to	to	PART
fumecheng-12165	19	20	augment	augment	VERB
fumecheng-12165	19	21	the	the	DET
fumecheng-12165	19	22	induced	induced	ADJ
fumecheng-12165	19	23	vibrations	vibration	NOUN
fumecheng-12165	19	24	under	under	ADP
fumecheng-12165	19	25	external	external	ADJ
fumecheng-12165	19	26	excitations	excitation	NOUN
fumecheng-12165	19	27	,	,	PUNCT
fumecheng-12165	19	28	which	which	PRON
fumecheng-12165	19	29	compromises	compromise	VERB
fumecheng-12165	19	30	the	the	DET
fumecheng-12165	19	31	stability	stability	NOUN
fumecheng-12165	19	32	of	of	ADP
fumecheng-12165	19	33	such	such	ADJ
fumecheng-12165	19	34	structures	structure	NOUN
fumecheng-12165	19	35	.	.	PUNCT
fumecheng-12165	20	1	as	as	ADP
fumecheng-12165	20	2	a	a	DET
fumecheng-12165	20	3	result	result	NOUN
fumecheng-12165	20	4	,	,	PUNCT
fumecheng-12165	20	5	the	the	DET
fumecheng-12165	20	6	vibration	vibration	NOUN
fumecheng-12165	20	7	of	of	ADP
fumecheng-12165	20	8	thin	thin	ADJ
fumecheng-12165	20	9	-	-	PUNCT
fumecheng-12165	20	10	walled	walled	ADJ
fumecheng-12165	20	11	structures	structure	NOUN
fumecheng-12165	20	12	must	must	AUX
fumecheng-12165	20	13	be	be	AUX
fumecheng-12165	20	14	controlled	control	VERB
fumecheng-12165	20	15	.	.	PUNCT
fumecheng-12165	21	1	one	one	NUM
fumecheng-12165	21	2	of	of	ADP
fumecheng-12165	21	3	the	the	DET
fumecheng-12165	21	4	approaches	approach	NOUN
fumecheng-12165	21	5	to	to	ADP
fumecheng-12165	21	6	the	the	DET
fumecheng-12165	21	7	problem	problem	NOUN
fumecheng-12165	21	8	is	be	AUX
fumecheng-12165	21	9	to	to	PART
fumecheng-12165	21	10	use	use	VERB
fumecheng-12165	21	11	active	active	ADJ
fumecheng-12165	21	12	piezoelectric	piezoelectric	ADJ
fumecheng-12165	21	13	elements	element	NOUN
fumecheng-12165	21	14	which	which	PRON
fumecheng-12165	21	15	may	may	AUX
fumecheng-12165	21	16	offer	offer	VERB
fumecheng-12165	21	17	an	an	DET
fumecheng-12165	21	18	optimal	optimal	ADJ
fumecheng-12165	21	19	damping	damp	VERB
fumecheng-12165	21	20	performance	performance	NOUN
fumecheng-12165	21	21	of	of	ADP
fumecheng-12165	21	22	thin	thin	ADJ
fumecheng-12165	21	23	-	-	PUNCT
fumecheng-12165	21	24	walled	walled	ADJ
fumecheng-12165	21	25	structures	structure	NOUN
fumecheng-12165	21	26	since	since	SCONJ
fumecheng-12165	21	27	it	it	PRON
fumecheng-12165	21	28	includes	include	VERB
fumecheng-12165	21	29	the	the	DET
fumecheng-12165	21	30	ability	ability	NOUN
fumecheng-12165	21	31	of	of	ADP
fumecheng-12165	21	32	sensing	sense	VERB
fumecheng-12165	21	33	and	and	CCONJ
fumecheng-12165	21	34	actuation	actuation	NOUN
fumecheng-12165	21	35	control	control	NOUN
fumecheng-12165	21	36	[	[	X
fumecheng-12165	21	37	4	4	NUM
fumecheng-12165	21	38	]	]	PUNCT
fumecheng-12165	21	39	.	.	PUNCT
fumecheng-12165	22	1	applying	apply	VERB
fumecheng-12165	22	2	a	a	DET
fumecheng-12165	22	3	damping	damp	VERB
fumecheng-12165	22	4	layer	layer	NOUN
fumecheng-12165	22	5	to	to	ADP
fumecheng-12165	22	6	thin	thin	ADJ
fumecheng-12165	22	7	-	-	PUNCT
fumecheng-12165	22	8	walled	wall	VERB
fumecheng-12165	22	9	structures	structure	NOUN
fumecheng-12165	22	10	to	to	PART
fumecheng-12165	22	11	control	control	VERB
fumecheng-12165	22	12	their	their	PRON
fumecheng-12165	22	13	vibrations	vibration	NOUN
fumecheng-12165	22	14	is	be	AUX
fumecheng-12165	22	15	a	a	DET
fumecheng-12165	22	16	widely	widely	ADV
fumecheng-12165	22	17	utilized	utilize	VERB
fumecheng-12165	22	18	strategy	strategy	NOUN
fumecheng-12165	22	19	in	in	ADP
fumecheng-12165	22	20	engineering	engineering	NOUN
fumecheng-12165	22	21	practice	practice	NOUN
fumecheng-12165	22	22	[	[	X
fumecheng-12165	22	23	5	5	NUM
fumecheng-12165	22	24	]	]	PUNCT
fumecheng-12165	22	25	.	.	PUNCT
fumecheng-12165	23	1	among	among	ADP
fumecheng-12165	23	2	them	they	PRON
fumecheng-12165	23	3	,	,	PUNCT
fumecheng-12165	23	4	viscoelastic	viscoelastic	NOUN
fumecheng-12165	23	5	(	(	PUNCT
fumecheng-12165	23	6	ve	ve	NOUN
fumecheng-12165	23	7	)	)	PUNCT
fumecheng-12165	23	8	materials	material	NOUN
fumecheng-12165	23	9	,	,	PUNCT
fumecheng-12165	23	10	which	which	PRON
fumecheng-12165	23	11	have	have	VERB
fumecheng-12165	23	12	good	good	ADJ
fumecheng-12165	23	13	damping	damp	VERB
fumecheng-12165	23	14	qualities	quality	NOUN
fumecheng-12165	23	15	,	,	PUNCT
fumecheng-12165	23	16	are	be	AUX
fumecheng-12165	23	17	most	most	ADV
fumecheng-12165	23	18	widely	widely	ADV
fumecheng-12165	23	19	applied	apply	VERB
fumecheng-12165	23	20	in	in	ADP
fumecheng-12165	23	21	structural	structural	ADJ
fumecheng-12165	23	22	vibration	vibration	NOUN
fumecheng-12165	23	23	as	as	ADP
fumecheng-12165	23	24	a	a	DET
fumecheng-12165	23	25	passive	passive	ADJ
fumecheng-12165	23	26	damping	damp	VERB
fumecheng-12165	23	27	treatment	treatment	NOUN
fumecheng-12165	23	28	[	[	X
fumecheng-12165	23	29	6	6	NUM
fumecheng-12165	23	30	,	,	PUNCT
fumecheng-12165	23	31	7	7	NUM
fumecheng-12165	23	32	]	]	PUNCT
fumecheng-12165	23	33	.	.	PUNCT
fumecheng-12165	24	1	a	a	DET
fumecheng-12165	24	2	typical	typical	ADJ
fumecheng-12165	24	3	passive	passive	ADJ
fumecheng-12165	24	4	damping	damp	VERB
fumecheng-12165	24	5	treatment	treatment	NOUN
fumecheng-12165	24	6	structure	structure	NOUN
fumecheng-12165	24	7	consists	consist	VERB
fumecheng-12165	24	8	of	of	ADP
fumecheng-12165	24	9	two	two	NUM
fumecheng-12165	24	10	elastic	elastic	ADJ
fumecheng-12165	24	11	layers	layer	NOUN
fumecheng-12165	24	12	and	and	CCONJ
fumecheng-12165	24	13	a	a	DET
fumecheng-12165	24	14	ve	ve	NOUN
fumecheng-12165	24	15	core	core	NOUN
fumecheng-12165	24	16	sandwiched	sandwich	VERB
fumecheng-12165	24	17	between	between	ADP
fumecheng-12165	24	18	constraining	constrain	VERB
fumecheng-12165	24	19	layer	layer	NOUN
fumecheng-12165	24	20	and	and	CCONJ
fumecheng-12165	24	21	base	base	NOUN
fumecheng-12165	24	22	beam	beam	NOUN
fumecheng-12165	24	23	.	.	PUNCT
fumecheng-12165	25	1	the	the	DET
fumecheng-12165	25	2	ve	ve	PROPN
fumecheng-12165	25	3	core	core	NOUN
fumecheng-12165	25	4	allows	allow	VERB
fumecheng-12165	25	5	vibration	vibration	NOUN
fumecheng-12165	25	6	energy	energy	NOUN
fumecheng-12165	25	7	to	to	PART
fumecheng-12165	25	8	dissipate	dissipate	VERB
fumecheng-12165	25	9	through	through	ADP
fumecheng-12165	25	10	a	a	DET
fumecheng-12165	25	11	cyclic	cyclic	ADJ
fumecheng-12165	25	12	deformation	deformation	NOUN
fumecheng-12165	25	13	,	,	PUNCT
fumecheng-12165	25	14	while	while	SCONJ
fumecheng-12165	25	15	the	the	DET
fumecheng-12165	25	16	main	main	ADJ
fumecheng-12165	25	17	advantage	advantage	NOUN
fumecheng-12165	25	18	of	of	ADP
fumecheng-12165	25	19	constraining	constrain	VERB
fumecheng-12165	25	20	layer	layer	NOUN
fumecheng-12165	25	21	is	be	AUX
fumecheng-12165	25	22	to	to	PART
fumecheng-12165	25	23	increase	increase	VERB
fumecheng-12165	25	24	periodic	periodic	ADJ
fumecheng-12165	25	25	shear	shear	NOUN
fumecheng-12165	25	26	deformation	deformation	NOUN
fumecheng-12165	25	27	and	and	CCONJ
fumecheng-12165	25	28	stress	stress	NOUN
fumecheng-12165	25	29	resistance	resistance	NOUN
fumecheng-12165	25	30	of	of	ADP
fumecheng-12165	25	31	the	the	DET
fumecheng-12165	25	32	core	core	NOUN
fumecheng-12165	25	33	,	,	PUNCT
fumecheng-12165	25	34	hence	hence	ADV
fumecheng-12165	25	35	directly	directly	ADV
fumecheng-12165	25	36	leading	lead	VERB
fumecheng-12165	25	37	to	to	ADP
fumecheng-12165	25	38	an	an	DET
fumecheng-12165	25	39	increase	increase	NOUN
fumecheng-12165	25	40	in	in	ADP
fumecheng-12165	25	41	damping	damp	VERB
fumecheng-12165	25	42	energy	energy	NOUN
fumecheng-12165	25	43	within	within	ADP
fumecheng-12165	25	44	ve	ve	NOUN
fumecheng-12165	25	45	core	core	NOUN
fumecheng-12165	25	46	[	[	X
fumecheng-12165	25	47	8	8	NUM
fumecheng-12165	25	48	]	]	PUNCT
fumecheng-12165	25	49	.	.	PUNCT
fumecheng-12165	26	1	in	in	ADP
fumecheng-12165	26	2	engineering	engineering	NOUN
fumecheng-12165	26	3	practice	practice	NOUN
fumecheng-12165	26	4	,	,	PUNCT
fumecheng-12165	26	5	sandwich	sandwich	NOUN
fumecheng-12165	26	6	structures	structure	NOUN
fumecheng-12165	26	7	have	have	VERB
fumecheng-12165	26	8	complex	complex	ADJ
fumecheng-12165	26	9	geometric	geometric	ADJ
fumecheng-12165	26	10	shapes	shape	NOUN
fumecheng-12165	26	11	and	and	CCONJ
fumecheng-12165	26	12	boundary	boundary	ADJ
fumecheng-12165	26	13	conditions	condition	NOUN
fumecheng-12165	26	14	thus	thus	ADV
fumecheng-12165	26	15	,	,	PUNCT
fumecheng-12165	26	16	such	such	ADJ
fumecheng-12165	26	17	problems	problem	NOUN
fumecheng-12165	26	18	can	can	AUX
fumecheng-12165	26	19	not	not	PART
fumecheng-12165	26	20	be	be	AUX
fumecheng-12165	26	21	effectively	effectively	ADV
fumecheng-12165	26	22	solved	solve	VERB
fumecheng-12165	26	23	by	by	ADP
fumecheng-12165	26	24	the	the	DET
fumecheng-12165	26	25	conventional	conventional	ADJ
fumecheng-12165	26	26	analytical	analytical	ADJ
fumecheng-12165	26	27	process	process	NOUN
fumecheng-12165	26	28	,	,	PUNCT
fumecheng-12165	26	29	accordingly	accordingly	ADV
fumecheng-12165	26	30	finite	finite	VERB
fumecheng-12165	26	31	element	element	NOUN
fumecheng-12165	26	32	(	(	PUNCT
fumecheng-12165	26	33	fe	fe	NOUN
fumecheng-12165	26	34	)	)	PUNCT
fumecheng-12165	26	35	approach	approach	NOUN
fumecheng-12165	26	36	is	be	AUX
fumecheng-12165	26	37	commonly	commonly	ADV
fumecheng-12165	26	38	used	use	VERB
fumecheng-12165	26	39	which	which	PRON
fumecheng-12165	26	40	may	may	AUX
fumecheng-12165	26	41	facilitate	facilitate	VERB
fumecheng-12165	26	42	the	the	DET
fumecheng-12165	26	43	computational	computational	ADJ
fumecheng-12165	26	44	complexity	complexity	NOUN
fumecheng-12165	26	45	of	of	ADP
fumecheng-12165	26	46	such	such	ADJ
fumecheng-12165	26	47	problem	problem	NOUN
fumecheng-12165	27	1	[	[	X
fumecheng-12165	27	2	9–12	9–12	X
fumecheng-12165	27	3	]	]	PUNCT
fumecheng-12165	27	4	.	.	PUNCT
fumecheng-12165	28	1	arvin	arvin	PROPN
fumecheng-12165	28	2	et	et	PROPN
fumecheng-12165	28	3	al	al	PROPN
fumecheng-12165	28	4	.	.	PUNCT
fumecheng-12165	29	1	[	[	X
fumecheng-12165	29	2	13	13	NUM
fumecheng-12165	29	3	]	]	PUNCT
fumecheng-12165	29	4	developed	develop	VERB
fumecheng-12165	29	5	four	four	NUM
fumecheng-12165	29	6	nodes	node	NOUN
fumecheng-12165	29	7	ve	ve	VERB
fumecheng-12165	29	8	sandwich	sandwich	NOUN
fumecheng-12165	29	9	beam	beam	NOUN
fumecheng-12165	29	10	element	element	NOUN
fumecheng-12165	29	11	based	base	VERB
fumecheng-12165	29	12	on	on	ADP
fumecheng-12165	29	13	higher	high	ADJ
fumecheng-12165	29	14	-	-	PUNCT
fumecheng-12165	29	15	order	order	NOUN
fumecheng-12165	29	16	shear	shear	NOUN
fumecheng-12165	29	17	deformation	deformation	NOUN
fumecheng-12165	29	18	theory	theory	NOUN
fumecheng-12165	29	19	to	to	PART
fumecheng-12165	29	20	explore	explore	VERB
fumecheng-12165	29	21	the	the	DET
fumecheng-12165	29	22	steady	steady	ADJ
fumecheng-12165	29	23	-	-	PUNCT
fumecheng-12165	29	24	state	state	NOUN
fumecheng-12165	29	25	and	and	CCONJ
fumecheng-12165	29	26	transient	transient	ADJ
fumecheng-12165	29	27	responses	response	NOUN
fumecheng-12165	29	28	of	of	ADP
fumecheng-12165	29	29	a	a	DET
fumecheng-12165	29	30	ve	ve	NOUN
fumecheng-12165	29	31	composite	composite	ADJ
fumecheng-12165	29	32	sandwich	sandwich	NOUN
fumecheng-12165	29	33	beam	beam	NOUN
fumecheng-12165	29	34	.	.	PUNCT
fumecheng-12165	30	1	wang	wang	PROPN
fumecheng-12165	30	2	and	and	CCONJ
fumecheng-12165	30	3	inman	inman	PROPN
fumecheng-12165	31	1	[	[	X
fumecheng-12165	31	2	14	14	NUM
fumecheng-12165	31	3	]	]	PUNCT
fumecheng-12165	31	4	developed	develop	VERB
fumecheng-12165	31	5	a	a	DET
fumecheng-12165	31	6	2d	2d	NUM
fumecheng-12165	31	7	fe	fe	NOUN
fumecheng-12165	31	8	model	model	NOUN
fumecheng-12165	31	9	to	to	PART
fumecheng-12165	31	10	study	study	VERB
fumecheng-12165	31	11	the	the	DET
fumecheng-12165	31	12	dynamic	dynamic	ADJ
fumecheng-12165	31	13	performance	performance	NOUN
fumecheng-12165	31	14	of	of	ADP
fumecheng-12165	31	15	a	a	DET
fumecheng-12165	31	16	hybrid	hybrid	ADJ
fumecheng-12165	31	17	composite	composite	ADJ
fumecheng-12165	31	18	sandwich	sandwich	NOUN
fumecheng-12165	31	19	beam	beam	NOUN
fumecheng-12165	31	20	by	by	ADP
fumecheng-12165	31	21	using	use	VERB
fumecheng-12165	31	22	ve	ve	VERB
fumecheng-12165	31	23	golla	golla	NOUN
fumecheng-12165	31	24	–	–	PUNCT
fumecheng-12165	31	25	hughes	hughes	NOUN
fumecheng-12165	31	26	model	model	NOUN
fumecheng-12165	31	27	(	(	PUNCT
fumecheng-12165	31	28	ghm	ghm	PROPN
fumecheng-12165	31	29	)	)	PUNCT
fumecheng-12165	31	30	.	.	PUNCT
fumecheng-12165	32	1	lin	lin	PROPN
fumecheng-12165	32	2	and	and	CCONJ
fumecheng-12165	32	3	rao	rao	PROPN
fumecheng-12165	33	1	[	[	X
fumecheng-12165	33	2	15	15	NUM
fumecheng-12165	33	3	]	]	PUNCT
fumecheng-12165	33	4	proposed	propose	VERB
fumecheng-12165	33	5	fe	fe	PROPN
fumecheng-12165	33	6	model	model	NOUN
fumecheng-12165	33	7	for	for	ADP
fumecheng-12165	33	8	vibration	vibration	NOUN
fumecheng-12165	33	9	performance	performance	NOUN
fumecheng-12165	33	10	of	of	ADP
fumecheng-12165	33	11	ve	ve	NOUN
fumecheng-12165	33	12	multiple	multiple	ADV
fumecheng-12165	33	13	-	-	PUNCT
fumecheng-12165	33	14	layered	layered	ADJ
fumecheng-12165	33	15	sandwich	sandwich	NOUN
fumecheng-12165	33	16	beam	beam	NOUN
fumecheng-12165	33	17	by	by	ADP
fumecheng-12165	33	18	incorporating	incorporate	VERB
fumecheng-12165	33	19	ve	ve	NOUN
fumecheng-12165	33	20	biot	biot	ADJ
fumecheng-12165	33	21	model	model	NOUN
fumecheng-12165	33	22	into	into	ADP
fumecheng-12165	33	23	fe	fe	PROPN
fumecheng-12165	33	24	model	model	NOUN
fumecheng-12165	33	25	.	.	PUNCT
fumecheng-12165	34	1	reddy	reddy	PROPN
fumecheng-12165	34	2	and	and	CCONJ
fumecheng-12165	34	3	panda	panda	NOUN
fumecheng-12165	34	4	[	[	X
fumecheng-12165	34	5	16	16	NUM
fumecheng-12165	34	6	]	]	PUNCT
fumecheng-12165	34	7	developed	develop	VERB
fumecheng-12165	34	8	fe	fe	PROPN
fumecheng-12165	34	9	model	model	NOUN
fumecheng-12165	34	10	to	to	PART
fumecheng-12165	34	11	explore	explore	VERB
fumecheng-12165	34	12	the	the	DET
fumecheng-12165	34	13	nonlinear	nonlinear	ADJ
fumecheng-12165	34	14	frequency	frequency	NOUN
fumecheng-12165	34	15	response	response	NOUN
fumecheng-12165	34	16	for	for	ADP
fumecheng-12165	34	17	harmonically	harmonically	ADV
fumecheng-12165	34	18	excited	excited	ADJ
fumecheng-12165	34	19	ve	ve	VERB
fumecheng-12165	34	20	sandwich	sandwich	NOUN
fumecheng-12165	34	21	beam	beam	NOUN
fumecheng-12165	34	22	based	base	VERB
fumecheng-12165	34	23	on	on	ADP
fumecheng-12165	34	24	harmonic	harmonic	ADJ
fumecheng-12165	34	25	balance	balance	NOUN
fumecheng-12165	34	26	method	method	NOUN
fumecheng-12165	34	27	considering	consider	VERB
fumecheng-12165	34	28	different	different	ADJ
fumecheng-12165	34	29	ve	ve	NOUN
fumecheng-12165	34	30	constitutive	constitutive	ADJ
fumecheng-12165	34	31	models	model	NOUN
fumecheng-12165	34	32	.	.	PUNCT
fumecheng-12165	35	1	jahan	jahan	PROPN
fumecheng-12165	35	2	et	et	PROPN
fumecheng-12165	35	3	al	al	PROPN
fumecheng-12165	35	4	.	.	PUNCT
fumecheng-12165	36	1	[	[	X
fumecheng-12165	36	2	17	17	NUM
fumecheng-12165	36	3	]	]	PUNCT
fumecheng-12165	36	4	performed	perform	VERB
fumecheng-12165	36	5	fe	fe	NOUN
fumecheng-12165	36	6	modal	modal	ADJ
fumecheng-12165	36	7	study	study	NOUN
fumecheng-12165	36	8	to	to	PART
fumecheng-12165	36	9	examine	examine	VERB
fumecheng-12165	36	10	the	the	DET
fumecheng-12165	36	11	effectiveness	effectiveness	NOUN
fumecheng-12165	36	12	and	and	CCONJ
fumecheng-12165	36	13	influential	influential	ADJ
fumecheng-12165	36	14	parameters	parameter	NOUN
fumecheng-12165	36	15	of	of	ADP
fumecheng-12165	36	16	a	a	DET
fumecheng-12165	36	17	passive	passive	ADJ
fumecheng-12165	36	18	rail	rail	NOUN
fumecheng-12165	36	19	damper	damper	NOUN
fumecheng-12165	36	20	system	system	NOUN
fumecheng-12165	36	21	using	use	VERB
fumecheng-12165	36	22	lab	lab	NOUN
fumecheng-12165	36	23	-	-	PUNCT
fumecheng-12165	36	24	scaled	scale	VERB
fumecheng-12165	36	25	model	model	NOUN
fumecheng-12165	36	26	.	.	PUNCT
fumecheng-12165	37	1	araújo	araújo	PROPN
fumecheng-12165	37	2	et	et	PROPN
fumecheng-12165	37	3	al	al	PROPN
fumecheng-12165	37	4	.	.	PUNCT
fumecheng-12165	38	1	[	[	X
fumecheng-12165	38	2	18	18	NUM
fumecheng-12165	38	3	]	]	PUNCT
fumecheng-12165	38	4	proposed	propose	VERB
fumecheng-12165	38	5	fe	fe	PROPN
fumecheng-12165	38	6	model	model	NOUN
fumecheng-12165	38	7	to	to	PART
fumecheng-12165	38	8	explore	explore	VERB
fumecheng-12165	38	9	the	the	DET
fumecheng-12165	38	10	dynamic	dynamic	ADJ
fumecheng-12165	38	11	response	response	NOUN
fumecheng-12165	38	12	of	of	ADP
fumecheng-12165	38	13	active	active	ADJ
fumecheng-12165	38	14	-	-	PUNCT
fumecheng-12165	38	15	passive	passive	ADJ
fumecheng-12165	38	16	hybrid	hybrid	ADJ
fumecheng-12165	38	17	sandwich	sandwich	NOUN
fumecheng-12165	38	18	plate	plate	NOUN
fumecheng-12165	38	19	using	use	VERB
fumecheng-12165	38	20	mixed	mixed	ADJ
fumecheng-12165	38	21	layerwise	layerwise	NOUN
fumecheng-12165	38	22	approach	approach	NOUN
fumecheng-12165	38	23	.	.	PUNCT
fumecheng-12165	39	1	although	although	SCONJ
fumecheng-12165	39	2	fe	fe	NOUN
fumecheng-12165	39	3	models	model	NOUN
fumecheng-12165	39	4	have	have	AUX
fumecheng-12165	39	5	been	be	AUX
fumecheng-12165	39	6	widely	widely	ADV
fumecheng-12165	39	7	used	use	VERB
fumecheng-12165	39	8	in	in	ADP
fumecheng-12165	39	9	the	the	DET
fumecheng-12165	39	10	dynamic	dynamic	ADJ
fumecheng-12165	39	11	modeling	modeling	NOUN
fumecheng-12165	39	12	of	of	ADP
fumecheng-12165	39	13	complex	complex	ADJ
fumecheng-12165	39	14	structures	structure	NOUN
fumecheng-12165	39	15	,	,	PUNCT
fumecheng-12165	39	16	some	some	DET
fumecheng-12165	39	17	fe	fe	NOUN
fumecheng-12165	39	18	models	model	NOUN
fumecheng-12165	39	19	are	be	AUX
fumecheng-12165	39	20	difficult	difficult	ADJ
fumecheng-12165	39	21	to	to	PART
fumecheng-12165	39	22	implement	implement	VERB
fumecheng-12165	39	23	,	,	PUNCT
fumecheng-12165	39	24	thus	thus	ADV
fumecheng-12165	39	25	some	some	DET
fumecheng-12165	39	26	researchers	researcher	NOUN
fumecheng-12165	39	27	have	have	AUX
fumecheng-12165	39	28	tried	try	VERB
fumecheng-12165	39	29	to	to	PART
fumecheng-12165	39	30	ensure	ensure	VERB
fumecheng-12165	39	31	accurate	accurate	ADJ
fumecheng-12165	39	32	modeling	modeling	NOUN
fumecheng-12165	39	33	based	base	VERB
fumecheng-12165	39	34	on	on	ADP
fumecheng-12165	39	35	searching	search	VERB
fumecheng-12165	39	36	for	for	ADP
fumecheng-12165	39	37	ways	way	NOUN
fumecheng-12165	39	38	to	to	PART
fumecheng-12165	39	39	improve	improve	VERB
fumecheng-12165	39	40	computational	computational	ADJ
fumecheng-12165	39	41	efficiency	efficiency	NOUN
fumecheng-12165	39	42	,	,	PUNCT
fumecheng-12165	39	43	such	such	ADJ
fumecheng-12165	39	44	that	that	SCONJ
fumecheng-12165	39	45	,	,	PUNCT
fumecheng-12165	39	46	some	some	DET
fumecheng-12165	39	47	models	model	NOUN
fumecheng-12165	39	48	between	between	ADP
fumecheng-12165	39	49	the	the	DET
fumecheng-12165	39	50	analytical	analytical	ADJ
fumecheng-12165	39	51	method	method	NOUN
fumecheng-12165	39	52	and	and	CCONJ
fumecheng-12165	39	53	the	the	DET
fumecheng-12165	39	54	fe	fe	NOUN
fumecheng-12165	39	55	method	method	NOUN
fumecheng-12165	39	56	,	,	PUNCT
fumecheng-12165	39	57	called	call	VERB
fumecheng-12165	39	58	semi	semi	ADJ
fumecheng-12165	39	59	-	-	ADJ
fumecheng-12165	39	60	analytical	analytical	ADJ
fumecheng-12165	39	61	semi	semi	ADJ
fumecheng-12165	39	62	-	-	ADJ
fumecheng-12165	39	63	numerical	numerical	ADJ
fumecheng-12165	39	64	method	method	NOUN
fumecheng-12165	39	65	.	.	PUNCT
fumecheng-12165	40	1	lewandowski	lewandowski	PROPN
fumecheng-12165	40	2	and	and	CCONJ
fumecheng-12165	40	3	baum	baum	PROPN
fumecheng-12165	41	1	[	[	X
fumecheng-12165	41	2	19	19	NUM
fumecheng-12165	41	3	]	]	PUNCT
fumecheng-12165	41	4	developed	develop	VERB
fumecheng-12165	41	5	mixed	mixed	ADJ
fumecheng-12165	41	6	model	model	NOUN
fumecheng-12165	41	7	to	to	PART
fumecheng-12165	41	8	anticipate	anticipate	VERB
fumecheng-12165	41	9	the	the	DET
fumecheng-12165	41	10	free	free	ADJ
fumecheng-12165	41	11	vibration	vibration	NOUN
fumecheng-12165	41	12	response	response	NOUN
fumecheng-12165	41	13	of	of	ADP
fumecheng-12165	41	14	ve	ve	VERB
fumecheng-12165	41	15	sandwich	sandwich	NOUN
fumecheng-12165	41	16	beam	beam	NOUN
fumecheng-12165	41	17	using	use	VERB
fumecheng-12165	41	18	virtual	virtual	ADJ
fumecheng-12165	41	19	work	work	NOUN
fumecheng-12165	41	20	principle	principle	NOUN
fumecheng-12165	41	21	and	and	CCONJ
fumecheng-12165	41	22	ve	ve	VERB
fumecheng-12165	41	23	zener	zener	NOUN
fumecheng-12165	41	24	model	model	NOUN
fumecheng-12165	41	25	.	.	PUNCT
fumecheng-12165	42	1	daya	daya	PROPN
fumecheng-12165	42	2	and	and	CCONJ
fumecheng-12165	42	3	potier	potier	NOUN
fumecheng-12165	42	4	-	-	PUNCT
fumecheng-12165	42	5	ferry	ferry	NOUN
fumecheng-12165	42	6	[	[	X
fumecheng-12165	42	7	20	20	NUM
fumecheng-12165	42	8	]	]	PUNCT
fumecheng-12165	42	9	established	establish	VERB
fumecheng-12165	42	10	a	a	DET
fumecheng-12165	42	11	shell	shell	ADJ
fumecheng-12165	42	12	fe	fe	NOUN
fumecheng-12165	42	13	model	model	NOUN
fumecheng-12165	42	14	using	use	VERB
fumecheng-12165	42	15	homotopy	homotopy	NOUN
fumecheng-12165	42	16	algorithm	algorithm	NOUN
fumecheng-12165	42	17	and	and	CCONJ
fumecheng-12165	42	18	asymptotic	asymptotic	ADJ
fumecheng-12165	42	19	method	method	NOUN
fumecheng-12165	42	20	to	to	PART
fumecheng-12165	42	21	solve	solve	VERB
fumecheng-12165	42	22	the	the	DET
fumecheng-12165	42	23	nonlinear	nonlinear	PROPN
fumecheng-12165	42	24	eigenvalue	eigenvalue	PROPN
fumecheng-12165	42	25	problem	problem	NOUN
fumecheng-12165	42	26	of	of	ADP
fumecheng-12165	42	27	ve	ve	VERB
fumecheng-12165	42	28	sandwich	sandwich	NOUN
fumecheng-12165	42	29	structures	structure	NOUN
fumecheng-12165	42	30	.	.	PUNCT
fumecheng-12165	43	1	koutsawa	koutsawa	PROPN
fumecheng-12165	43	2	et	et	PROPN
fumecheng-12165	43	3	al	al	PROPN
fumecheng-12165	43	4	.	.	PUNCT
fumecheng-12165	44	1	[	[	X
fumecheng-12165	44	2	21	21	NUM
fumecheng-12165	44	3	]	]	PUNCT
fumecheng-12165	44	4	investigated	investigate	VERB
fumecheng-12165	44	5	the	the	DET
fumecheng-12165	44	6	non	non	ADJ
fumecheng-12165	44	7	-	-	ADJ
fumecheng-12165	44	8	linear	linear	ADJ
fumecheng-12165	44	9	behavior	behavior	NOUN
fumecheng-12165	44	10	of	of	ADP
fumecheng-12165	44	11	a	a	DET
fumecheng-12165	44	12	laminated	laminated	ADJ
fumecheng-12165	44	13	glass	glass	NOUN
fumecheng-12165	44	14	beam	beam	NOUN
fumecheng-12165	44	15	by	by	ADP
fumecheng-12165	44	16	applying	apply	VERB
fumecheng-12165	44	17	asymptotic	asymptotic	ADJ
fumecheng-12165	44	18	numerical	numerical	ADJ
fumecheng-12165	44	19	technique	technique	NOUN
fumecheng-12165	44	20	to	to	PART
fumecheng-12165	44	21	establish	establish	VERB
fumecheng-12165	44	22	a	a	DET
fumecheng-12165	44	23	diamond	diamond	NOUN
fumecheng-12165	44	24	toolbox	toolbox	NOUN
fumecheng-12165	44	25	.	.	PUNCT
fumecheng-12165	45	1	the	the	DET
fumecheng-12165	45	2	performance	performance	NOUN
fumecheng-12165	45	3	of	of	ADP
fumecheng-12165	45	4	the	the	DET
fumecheng-12165	45	5	diamond	diamond	NOUN
fumecheng-12165	45	6	toolbox	toolbox	NOUN
fumecheng-12165	45	7	was	be	AUX
fumecheng-12165	45	8	demonstrated	demonstrate	VERB
fumecheng-12165	45	9	numerically	numerically	ADV
fumecheng-12165	45	10	and	and	CCONJ
fumecheng-12165	45	11	experimentally	experimentally	ADV
fumecheng-12165	45	12	.	.	PUNCT
fumecheng-12165	46	1	also	also	ADV
fumecheng-12165	46	2	,	,	PUNCT
fumecheng-12165	46	3	lampoh	lampoh	VERB
fumecheng-12165	46	4	et	et	PROPN
fumecheng-12165	46	5	al	al	PROPN
fumecheng-12165	46	6	.	.	PUNCT
fumecheng-12165	47	1	[	[	X
fumecheng-12165	47	2	22	22	NUM
fumecheng-12165	47	3	]	]	PUNCT
fumecheng-12165	47	4	performed	perform	VERB
fumecheng-12165	47	5	sensitivity	sensitivity	NOUN
fumecheng-12165	47	6	studies	study	NOUN
fumecheng-12165	47	7	on	on	ADP
fumecheng-12165	47	8	the	the	DET
fumecheng-12165	47	9	non	non	ADJ
fumecheng-12165	47	10	-	-	ADJ
fumecheng-12165	47	11	linear	linear	ADJ
fumecheng-12165	47	12	mechanical	mechanical	ADJ
fumecheng-12165	47	13	behavior	behavior	NOUN
fumecheng-12165	47	14	of	of	ADP
fumecheng-12165	47	15	ve	ve	VERB
fumecheng-12165	47	16	laminated	laminate	VERB
fumecheng-12165	47	17	glass	glass	NOUN
fumecheng-12165	47	18	beam	beam	NOUN
fumecheng-12165	47	19	.	.	PUNCT
fumecheng-12165	48	1	593	593	NUM
fumecheng-12165	48	2	dynamics	dynamic	NOUN
fumecheng-12165	48	3	analysis	analysis	NOUN
fumecheng-12165	48	4	of	of	ADP
fumecheng-12165	48	5	viscoelastic	viscoelastic	NOUN
fumecheng-12165	48	6	sandwiched	sandwich	VERB
fumecheng-12165	48	7	structures	structure	NOUN
fumecheng-12165	48	8	integrated	integrate	VERB
fumecheng-12165	48	9	with	with	ADP
fumecheng-12165	48	10	aluminum	aluminum	NOUN
fumecheng-12165	48	11	sheets	sheet	NOUN
fumecheng-12165	48	12	recently	recently	ADV
fumecheng-12165	48	13	,	,	PUNCT
fumecheng-12165	48	14	small	small	ADJ
fumecheng-12165	48	15	-	-	PUNCT
fumecheng-12165	48	16	size	size	NOUN
fumecheng-12165	48	17	composite	composite	ADJ
fumecheng-12165	48	18	structures	structure	NOUN
fumecheng-12165	48	19	with	with	ADP
fumecheng-12165	48	20	ve	ve	NOUN
fumecheng-12165	48	21	material	material	NOUN
fumecheng-12165	48	22	have	have	AUX
fumecheng-12165	48	23	been	be	AUX
fumecheng-12165	48	24	explored	explore	VERB
fumecheng-12165	48	25	by	by	ADP
fumecheng-12165	48	26	many	many	ADJ
fumecheng-12165	48	27	researchers	researcher	NOUN
fumecheng-12165	48	28	.	.	PUNCT
fumecheng-12165	49	1	for	for	ADP
fumecheng-12165	49	2	instance	instance	NOUN
fumecheng-12165	49	3	,	,	PUNCT
fumecheng-12165	49	4	loghman	loghman	PROPN
fumecheng-12165	49	5	et	et	PROPN
fumecheng-12165	49	6	al	al	PROPN
fumecheng-12165	49	7	.	.	PUNCT
fumecheng-12165	50	1	[	[	X
fumecheng-12165	50	2	23	23	NUM
fumecheng-12165	50	3	]	]	PUNCT
fumecheng-12165	50	4	used	use	VERB
fumecheng-12165	50	5	finite	finite	ADJ
fumecheng-12165	50	6	difference	difference	NOUN
fumecheng-12165	50	7	method	method	NOUN
fumecheng-12165	50	8	coupled	couple	VERB
fumecheng-12165	50	9	with	with	ADP
fumecheng-12165	50	10	galerkin	galerkin	ADJ
fumecheng-12165	50	11	bases	basis	NOUN
fumecheng-12165	50	12	to	to	PART
fumecheng-12165	50	13	examine	examine	VERB
fumecheng-12165	50	14	the	the	DET
fumecheng-12165	50	15	size	size	NOUN
fumecheng-12165	50	16	-	-	PUNCT
fumecheng-12165	50	17	dependent	dependent	ADJ
fumecheng-12165	50	18	vibration	vibration	NOUN
fumecheng-12165	50	19	behavior	behavior	NOUN
fumecheng-12165	50	20	of	of	ADP
fumecheng-12165	50	21	a	a	DET
fumecheng-12165	50	22	ve	ve	NOUN
fumecheng-12165	50	23	micro	micro	NOUN
fumecheng-12165	50	24	-	-	NOUN
fumecheng-12165	50	25	beam	beam	ADJ
fumecheng-12165	50	26	employing	employ	VERB
fumecheng-12165	50	27	modified	modify	VERB
fumecheng-12165	50	28	couple	couple	NOUN
fumecheng-12165	50	29	stress	stress	NOUN
fumecheng-12165	50	30	theory	theory	NOUN
fumecheng-12165	50	31	(	(	PUNCT
fumecheng-12165	50	32	mcst	mcst	PROPN
fumecheng-12165	50	33	)	)	PUNCT
fumecheng-12165	50	34	.	.	PUNCT
fumecheng-12165	51	1	li	li	PROPN
fumecheng-12165	51	2	et	et	PROPN
fumecheng-12165	51	3	al	al	PROPN
fumecheng-12165	51	4	.	.	PUNCT
fumecheng-12165	52	1	[	[	X
fumecheng-12165	52	2	24	24	NUM
fumecheng-12165	52	3	]	]	PUNCT
fumecheng-12165	52	4	analytically	analytically	ADV
fumecheng-12165	52	5	and	and	CCONJ
fumecheng-12165	52	6	experimentally	experimentally	ADV
fumecheng-12165	52	7	investigated	investigate	VERB
fumecheng-12165	52	8	the	the	DET
fumecheng-12165	52	9	nonlinear	nonlinear	ADJ
fumecheng-12165	52	10	vibration	vibration	NOUN
fumecheng-12165	52	11	response	response	NOUN
fumecheng-12165	52	12	of	of	ADP
fumecheng-12165	52	13	multiple	multiple	ADJ
fumecheng-12165	52	14	layered	layered	ADJ
fumecheng-12165	52	15	ve	ve	VERB
fumecheng-12165	52	16	composite	composite	ADJ
fumecheng-12165	52	17	sandwich	sandwich	NOUN
fumecheng-12165	52	18	plate	plate	NOUN
fumecheng-12165	52	19	and	and	CCONJ
fumecheng-12165	52	20	the	the	DET
fumecheng-12165	52	21	equation	equation	NOUN
fumecheng-12165	52	22	of	of	ADP
fumecheng-12165	52	23	motion	motion	NOUN
fumecheng-12165	52	24	derived	derive	VERB
fumecheng-12165	52	25	based	base	VERB
fumecheng-12165	52	26	on	on	ADP
fumecheng-12165	52	27	von	von	PROPN
fumecheng-12165	52	28	karman	karman	PROPN
fumecheng-12165	52	29	approach	approach	PROPN
fumecheng-12165	52	30	.	.	PUNCT
fumecheng-12165	53	1	their	their	PRON
fumecheng-12165	53	2	analytical	analytical	ADJ
fumecheng-12165	53	3	model	model	NOUN
fumecheng-12165	53	4	was	be	AUX
fumecheng-12165	53	5	developed	develop	VERB
fumecheng-12165	53	6	based	base	VERB
fumecheng-12165	53	7	on	on	ADP
fumecheng-12165	53	8	strain	strain	ADJ
fumecheng-12165	53	9	energy	energy	NOUN
fumecheng-12165	53	10	principle	principle	NOUN
fumecheng-12165	53	11	and	and	CCONJ
fumecheng-12165	53	12	validated	validate	VERB
fumecheng-12165	53	13	against	against	ADP
fumecheng-12165	53	14	experimental	experimental	ADJ
fumecheng-12165	53	15	nonlinear	nonlinear	ADJ
fumecheng-12165	53	16	vibration	vibration	NOUN
fumecheng-12165	53	17	characteristics	characteristic	NOUN
fumecheng-12165	53	18	.	.	PUNCT
fumecheng-12165	54	1	rahmani	rahmani	PROPN
fumecheng-12165	54	2	et	et	PROPN
fumecheng-12165	54	3	al	al	PROPN
fumecheng-12165	54	4	.	.	PUNCT
fumecheng-12165	55	1	[	[	X
fumecheng-12165	55	2	25	25	NUM
fumecheng-12165	55	3	]	]	PUNCT
fumecheng-12165	55	4	utilized	utilize	VERB
fumecheng-12165	55	5	a	a	DET
fumecheng-12165	55	6	comprehensive	comprehensive	ADJ
fumecheng-12165	55	7	mathematicalmechanical	mathematicalmechanical	ADJ
fumecheng-12165	55	8	model	model	NOUN
fumecheng-12165	55	9	based	base	VERB
fumecheng-12165	55	10	on	on	ADP
fumecheng-12165	55	11	higher	high	ADJ
fumecheng-12165	55	12	-	-	PUNCT
fumecheng-12165	55	13	order	order	NOUN
fumecheng-12165	55	14	,	,	PUNCT
fumecheng-12165	55	15	nonlocal	nonlocal	ADJ
fumecheng-12165	55	16	eringen	eringen	PROPN
fumecheng-12165	55	17	’s	’s	PART
fumecheng-12165	55	18	theory	theory	NOUN
fumecheng-12165	55	19	,	,	PUNCT
fumecheng-12165	55	20	and	and	CCONJ
fumecheng-12165	55	21	mcst	mcst	ADJ
fumecheng-12165	55	22	theory	theory	NOUN
fumecheng-12165	55	23	to	to	PART
fumecheng-12165	55	24	explore	explore	VERB
fumecheng-12165	55	25	the	the	DET
fumecheng-12165	55	26	wave	wave	NOUN
fumecheng-12165	55	27	propagation	propagation	NOUN
fumecheng-12165	55	28	of	of	ADP
fumecheng-12165	55	29	rotating	rotate	VERB
fumecheng-12165	55	30	ve	ve	NOUN
fumecheng-12165	55	31	nanobeams	nanobeam	NOUN
fumecheng-12165	55	32	including	include	VERB
fumecheng-12165	55	33	the	the	DET
fumecheng-12165	55	34	influence	influence	NOUN
fumecheng-12165	55	35	of	of	ADP
fumecheng-12165	55	36	many	many	ADJ
fumecheng-12165	55	37	parameters	parameter	NOUN
fumecheng-12165	55	38	on	on	ADP
fumecheng-12165	55	39	wave	wave	NOUN
fumecheng-12165	55	40	propagation	propagation	NOUN
fumecheng-12165	55	41	frequencies	frequency	NOUN
fumecheng-12165	55	42	,	,	PUNCT
fumecheng-12165	55	43	such	such	ADJ
fumecheng-12165	55	44	as	as	ADP
fumecheng-12165	55	45	nonlocal	nonlocal	ADJ
fumecheng-12165	55	46	parameter	parameter	NOUN
fumecheng-12165	55	47	and	and	CCONJ
fumecheng-12165	55	48	thermal	thermal	ADJ
fumecheng-12165	55	49	gradient	gradient	NOUN
fumecheng-12165	55	50	.	.	PUNCT
fumecheng-12165	56	1	yuan	yuan	NOUN
fumecheng-12165	56	2	et	et	PROPN
fumecheng-12165	56	3	al	al	PROPN
fumecheng-12165	56	4	.	.	PUNCT
fumecheng-12165	57	1	[	[	X
fumecheng-12165	57	2	26	26	NUM
fumecheng-12165	57	3	]	]	PUNCT
fumecheng-12165	57	4	studied	study	VERB
fumecheng-12165	57	5	the	the	DET
fumecheng-12165	57	6	dynamic	dynamic	ADJ
fumecheng-12165	57	7	stability	stability	NOUN
fumecheng-12165	57	8	of	of	ADP
fumecheng-12165	57	9	fgm	fgm	PROPN
fumecheng-12165	57	10	composite	composite	ADJ
fumecheng-12165	57	11	microcells	microcell	NOUN
fumecheng-12165	57	12	integrated	integrate	VERB
fumecheng-12165	57	13	with	with	ADP
fumecheng-12165	57	14	a	a	DET
fumecheng-12165	57	15	nonlinear	nonlinear	ADJ
fumecheng-12165	57	16	ve	ve	NOUN
fumecheng-12165	57	17	foundation	foundation	NOUN
fumecheng-12165	57	18	under	under	ADP
fumecheng-12165	57	19	size	size	NOUN
fumecheng-12165	57	20	-	-	PUNCT
fumecheng-12165	57	21	dependent	dependent	ADJ
fumecheng-12165	57	22	gradient	gradient	NOUN
fumecheng-12165	57	23	.	.	PUNCT
fumecheng-12165	58	1	jalaei	jalaei	NOUN
fumecheng-12165	58	2	et	et	PROPN
fumecheng-12165	58	3	al	al	PROPN
fumecheng-12165	58	4	.	.	PUNCT
fumecheng-12165	59	1	[	[	X
fumecheng-12165	59	2	27	27	NUM
fumecheng-12165	59	3	]	]	PUNCT
fumecheng-12165	59	4	proposed	propose	VERB
fumecheng-12165	59	5	the	the	DET
fumecheng-12165	59	6	transient	transient	ADJ
fumecheng-12165	59	7	response	response	NOUN
fumecheng-12165	59	8	of	of	ADP
fumecheng-12165	59	9	small	small	ADJ
fumecheng-12165	59	10	-	-	PUNCT
fumecheng-12165	59	11	size	size	NOUN
fumecheng-12165	59	12	visco	visco	ADJ
fumecheng-12165	59	13	-	-	ADJ
fumecheng-12165	59	14	porous	porous	ADJ
fumecheng-12165	59	15	fg	fg	NOUN
fumecheng-12165	59	16	structure	structure	NOUN
fumecheng-12165	59	17	exposed	expose	VERB
fumecheng-12165	59	18	to	to	ADP
fumecheng-12165	59	19	transverse	transverse	NOUN
fumecheng-12165	59	20	loads	load	NOUN
fumecheng-12165	59	21	and	and	CCONJ
fumecheng-12165	59	22	magnetic	magnetic	ADJ
fumecheng-12165	59	23	field	field	NOUN
fumecheng-12165	59	24	based	base	VERB
fumecheng-12165	59	25	on	on	ADP
fumecheng-12165	59	26	eringen	eringen	PROPN
fumecheng-12165	59	27	’s	’s	PART
fumecheng-12165	59	28	nonlocal	nonlocal	ADJ
fumecheng-12165	59	29	strain	strain	NOUN
fumecheng-12165	59	30	gradient	gradient	NOUN
fumecheng-12165	59	31	theory	theory	NOUN
fumecheng-12165	59	32	.	.	PUNCT
fumecheng-12165	60	1	youzera	youzera	NOUN
fumecheng-12165	60	2	et	et	PROPN
fumecheng-12165	60	3	al	al	PROPN
fumecheng-12165	60	4	.	.	PUNCT
fumecheng-12165	61	1	[	[	X
fumecheng-12165	61	2	28	28	NUM
fumecheng-12165	61	3	]	]	PUNCT
fumecheng-12165	61	4	proposed	propose	VERB
fumecheng-12165	61	5	an	an	DET
fumecheng-12165	61	6	applicable	applicable	ADJ
fumecheng-12165	61	7	analytical	analytical	ADJ
fumecheng-12165	61	8	model	model	NOUN
fumecheng-12165	61	9	for	for	ADP
fumecheng-12165	61	10	the	the	DET
fumecheng-12165	61	11	forced	force	VERB
fumecheng-12165	61	12	vibration	vibration	NOUN
fumecheng-12165	61	13	analysis	analysis	NOUN
fumecheng-12165	61	14	and	and	CCONJ
fumecheng-12165	61	15	nonlinear	nonlinear	ADJ
fumecheng-12165	61	16	associated	associate	VERB
fumecheng-12165	61	17	loss	loss	NOUN
fumecheng-12165	61	18	factor	factor	NOUN
fumecheng-12165	61	19	of	of	ADP
fumecheng-12165	61	20	ve	ve	PROPN
fumecheng-12165	61	21	-	-	PUNCT
fumecheng-12165	61	22	fgm	fgm	PROPN
fumecheng-12165	61	23	composite	composite	ADJ
fumecheng-12165	61	24	beam	beam	NOUN
fumecheng-12165	61	25	by	by	ADP
fumecheng-12165	61	26	using	use	VERB
fumecheng-12165	61	27	zig	zig	NOUN
fumecheng-12165	61	28	-	-	PUNCT
fumecheng-12165	61	29	zag	zag	NOUN
fumecheng-12165	61	30	theory	theory	NOUN
fumecheng-12165	61	31	coupled	couple	VERB
fumecheng-12165	61	32	with	with	ADP
fumecheng-12165	61	33	hsdt	hsdt	NOUN
fumecheng-12165	61	34	.	.	PUNCT
fumecheng-12165	62	1	the	the	DET
fumecheng-12165	62	2	governing	govern	VERB
fumecheng-12165	62	3	sixth	sixth	ADJ
fumecheng-12165	62	4	-	-	PUNCT
fumecheng-12165	62	5	order	order	NOUN
fumecheng-12165	62	6	differential	differential	ADJ
fumecheng-12165	62	7	equilibrium	equilibrium	NOUN
fumecheng-12165	62	8	equation	equation	NOUN
fumecheng-12165	62	9	of	of	ADP
fumecheng-12165	62	10	motion	motion	NOUN
fumecheng-12165	62	11	is	be	AUX
fumecheng-12165	62	12	derived	derive	VERB
fumecheng-12165	62	13	using	use	VERB
fumecheng-12165	62	14	virtual	virtual	ADJ
fumecheng-12165	62	15	work	work	NOUN
fumecheng-12165	62	16	principle	principle	NOUN
fumecheng-12165	62	17	.	.	PUNCT
fumecheng-12165	63	1	karmi	karmi	PROPN
fumecheng-12165	63	2	et	et	PROPN
fumecheng-12165	63	3	al	al	PROPN
fumecheng-12165	63	4	.	.	PUNCT
fumecheng-12165	64	1	[	[	X
fumecheng-12165	64	2	29	29	NUM
fumecheng-12165	64	3	]	]	PUNCT
fumecheng-12165	64	4	established	establish	VERB
fumecheng-12165	64	5	a	a	DET
fumecheng-12165	64	6	numerical	numerical	ADJ
fumecheng-12165	64	7	approach	approach	NOUN
fumecheng-12165	64	8	based	base	VERB
fumecheng-12165	64	9	on	on	ADP
fumecheng-12165	64	10	modal	modal	ADJ
fumecheng-12165	64	11	stability	stability	NOUN
fumecheng-12165	64	12	procedure	procedure	NOUN
fumecheng-12165	64	13	(	(	PUNCT
fumecheng-12165	64	14	msp	msp	PROPN
fumecheng-12165	64	15	)	)	PUNCT
fumecheng-12165	64	16	to	to	PART
fumecheng-12165	64	17	explore	explore	VERB
fumecheng-12165	64	18	the	the	DET
fumecheng-12165	64	19	vibroacoustic	vibroacoustic	ADJ
fumecheng-12165	64	20	behavior	behavior	NOUN
fumecheng-12165	64	21	of	of	ADP
fumecheng-12165	64	22	sandwich	sandwich	NOUN
fumecheng-12165	64	23	beam	beam	NOUN
fumecheng-12165	64	24	integrated	integrate	VERB
fumecheng-12165	64	25	with	with	ADP
fumecheng-12165	64	26	frequency	frequency	NOUN
fumecheng-12165	64	27	and	and	CCONJ
fumecheng-12165	64	28	temperature	temperature	NOUN
fumecheng-12165	64	29	-	-	PUNCT
fumecheng-12165	64	30	dependent	dependent	ADJ
fumecheng-12165	64	31	ve	ve	NOUN
fumecheng-12165	64	32	core	core	NOUN
fumecheng-12165	64	33	.	.	PUNCT
fumecheng-12165	65	1	hereby	hereby	ADV
fumecheng-12165	65	2	,	,	PUNCT
fumecheng-12165	65	3	research	research	NOUN
fumecheng-12165	65	4	methodology	methodology	NOUN
fumecheng-12165	65	5	for	for	ADP
fumecheng-12165	65	6	dynamic	dynamic	ADJ
fumecheng-12165	65	7	analysis	analysis	NOUN
fumecheng-12165	65	8	of	of	ADP
fumecheng-12165	65	9	ve	ve	VERB
fumecheng-12165	65	10	sandwich	sandwich	NOUN
fumecheng-12165	65	11	structures	structure	NOUN
fumecheng-12165	65	12	is	be	AUX
fumecheng-12165	65	13	proposed	propose	VERB
fumecheng-12165	65	14	by	by	ADP
fumecheng-12165	65	15	using	use	VERB
fumecheng-12165	65	16	finite	finite	ADJ
fumecheng-12165	65	17	element	element	NOUN
fumecheng-12165	65	18	method	method	NOUN
fumecheng-12165	65	19	.	.	PUNCT
fumecheng-12165	66	1	in	in	ADP
fumecheng-12165	66	2	the	the	DET
fumecheng-12165	66	3	pre	pre	ADJ
fumecheng-12165	66	4	-	-	ADJ
fumecheng-12165	66	5	processing	processing	ADJ
fumecheng-12165	66	6	step	step	NOUN
fumecheng-12165	66	7	,	,	PUNCT
fumecheng-12165	66	8	the	the	DET
fumecheng-12165	66	9	integral	integral	ADJ
fumecheng-12165	66	10	fe	fe	PROPN
fumecheng-12165	66	11	shear	shear	PROPN
fumecheng-12165	66	12	beam	beam	PROPN
fumecheng-12165	66	13	element	element	NOUN
fumecheng-12165	66	14	is	be	AUX
fumecheng-12165	66	15	developed	develop	VERB
fumecheng-12165	66	16	based	base	VERB
fumecheng-12165	66	17	on	on	ADP
fumecheng-12165	66	18	first	first	ADJ
fumecheng-12165	66	19	-	-	PUNCT
fumecheng-12165	66	20	order	order	NOUN
fumecheng-12165	66	21	shear	shear	NOUN
fumecheng-12165	66	22	deformation	deformation	NOUN
fumecheng-12165	66	23	theory	theory	NOUN
fumecheng-12165	66	24	(	(	PUNCT
fumecheng-12165	66	25	fsdt	fsdt	NOUN
fumecheng-12165	66	26	)	)	PUNCT
fumecheng-12165	66	27	since	since	SCONJ
fumecheng-12165	66	28	the	the	DET
fumecheng-12165	66	29	ve	ve	NOUN
fumecheng-12165	66	30	core	core	NOUN
fumecheng-12165	66	31	layer	layer	NOUN
fumecheng-12165	66	32	demonstrates	demonstrate	VERB
fumecheng-12165	66	33	considerable	considerable	ADJ
fumecheng-12165	66	34	shear	shear	NOUN
fumecheng-12165	66	35	deformation	deformation	NOUN
fumecheng-12165	66	36	behavior	behavior	NOUN
fumecheng-12165	66	37	under	under	ADP
fumecheng-12165	66	38	different	different	ADJ
fumecheng-12165	66	39	loading	loading	NOUN
fumecheng-12165	66	40	conditions	condition	NOUN
fumecheng-12165	66	41	.	.	PUNCT
fumecheng-12165	67	1	the	the	DET
fumecheng-12165	67	2	beam	beam	NOUN
fumecheng-12165	67	3	’s	’s	PART
fumecheng-12165	67	4	equation	equation	NOUN
fumecheng-12165	67	5	of	of	ADP
fumecheng-12165	67	6	motion	motion	NOUN
fumecheng-12165	67	7	is	be	AUX
fumecheng-12165	67	8	derived	derive	VERB
fumecheng-12165	67	9	based	base	VERB
fumecheng-12165	67	10	on	on	ADP
fumecheng-12165	67	11	hamilton	hamilton	PROPN
fumecheng-12165	67	12	principle	principle	PROPN
fumecheng-12165	67	13	.	.	PUNCT
fumecheng-12165	68	1	the	the	DET
fumecheng-12165	68	2	numerical	numerical	ADJ
fumecheng-12165	68	3	results	result	NOUN
fumecheng-12165	68	4	are	be	AUX
fumecheng-12165	68	5	compared	compare	VERB
fumecheng-12165	68	6	against	against	ADP
fumecheng-12165	68	7	analytical	analytical	ADJ
fumecheng-12165	68	8	models	model	NOUN
fumecheng-12165	68	9	from	from	ADP
fumecheng-12165	68	10	previous	previous	ADJ
fumecheng-12165	68	11	literature	literature	NOUN
fumecheng-12165	68	12	.	.	PUNCT
fumecheng-12165	69	1	further	far	ADV
fumecheng-12165	69	2	,	,	PUNCT
fumecheng-12165	69	3	the	the	DET
fumecheng-12165	69	4	steady	steady	ADJ
fumecheng-12165	69	5	-	-	PUNCT
fumecheng-12165	69	6	state	state	NOUN
fumecheng-12165	69	7	frequency	frequency	NOUN
fumecheng-12165	69	8	response	response	NOUN
fumecheng-12165	69	9	is	be	AUX
fumecheng-12165	69	10	obtained	obtain	VERB
fumecheng-12165	69	11	for	for	ADP
fumecheng-12165	69	12	optimizing	optimize	VERB
fumecheng-12165	69	13	the	the	DET
fumecheng-12165	69	14	design	design	NOUN
fumecheng-12165	69	15	and	and	CCONJ
fumecheng-12165	69	16	ensuring	ensure	VERB
fumecheng-12165	69	17	the	the	DET
fumecheng-12165	69	18	structural	structural	ADJ
fumecheng-12165	69	19	integrity	integrity	NOUN
fumecheng-12165	69	20	of	of	ADP
fumecheng-12165	69	21	such	such	ADJ
fumecheng-12165	69	22	system	system	NOUN
fumecheng-12165	69	23	.	.	PUNCT
fumecheng-12165	70	1	this	this	DET
fumecheng-12165	70	2	work	work	NOUN
fumecheng-12165	70	3	aims	aim	VERB
fumecheng-12165	70	4	to	to	PART
fumecheng-12165	70	5	achieve	achieve	VERB
fumecheng-12165	70	6	an	an	DET
fumecheng-12165	70	7	appropriate	appropriate	ADJ
fumecheng-12165	70	8	design	design	NOUN
fumecheng-12165	70	9	for	for	ADP
fumecheng-12165	70	10	both	both	DET
fumecheng-12165	70	11	ve	ve	AUX
fumecheng-12165	70	12	beam	beam	NOUN
fumecheng-12165	70	13	and	and	CCONJ
fumecheng-12165	70	14	plate	plate	VERB
fumecheng-12165	70	15	with	with	ADP
fumecheng-12165	70	16	integrated	integrate	VERB
fumecheng-12165	70	17	aluminum	aluminum	NOUN
fumecheng-12165	70	18	sheets	sheet	NOUN
fumecheng-12165	70	19	by	by	ADP
fumecheng-12165	70	20	investigating	investigate	VERB
fumecheng-12165	70	21	their	their	PRON
fumecheng-12165	70	22	damping	damp	VERB
fumecheng-12165	70	23	characteristics	characteristic	NOUN
fumecheng-12165	70	24	,	,	PUNCT
fumecheng-12165	70	25	including	include	VERB
fumecheng-12165	70	26	the	the	DET
fumecheng-12165	70	27	effects	effect	NOUN
fumecheng-12165	70	28	of	of	ADP
fumecheng-12165	70	29	ve	ve	NOUN
fumecheng-12165	70	30	loss	loss	NOUN
fumecheng-12165	70	31	factor	factor	NOUN
fumecheng-12165	70	32	𝜂𝑣	𝜂𝑣	NOUN
fumecheng-12165	70	33	and	and	CCONJ
fumecheng-12165	70	34	thickness	thickness	NOUN
fumecheng-12165	70	35	of	of	ADP
fumecheng-12165	70	36	the	the	DET
fumecheng-12165	70	37	ve	ve	NOUN
fumecheng-12165	70	38	core	core	NOUN
fumecheng-12165	70	39	layer	layer	NOUN
fumecheng-12165	70	40	.	.	PUNCT
fumecheng-12165	71	1	2	2	X
fumecheng-12165	71	2	.	.	X
fumecheng-12165	71	3	shear	shear	NOUN
fumecheng-12165	71	4	model	model	NOUN
fumecheng-12165	71	5	kinematics	kinematics	PROPN
fumecheng-12165	71	6	relationships	relationship	VERB
fumecheng-12165	71	7	the	the	DET
fumecheng-12165	71	8	geometric	geometric	ADJ
fumecheng-12165	71	9	configurations	configuration	NOUN
fumecheng-12165	71	10	and	and	CCONJ
fumecheng-12165	71	11	deformation	deformation	NOUN
fumecheng-12165	71	12	of	of	ADP
fumecheng-12165	71	13	typical	typical	ADJ
fumecheng-12165	71	14	ve	ve	NOUN
fumecheng-12165	71	15	sandwich	sandwich	NOUN
fumecheng-12165	71	16	beams	beam	NOUN
fumecheng-12165	71	17	are	be	AUX
fumecheng-12165	71	18	demonstrated	demonstrate	VERB
fumecheng-12165	71	19	in	in	ADP
fumecheng-12165	71	20	fig	fig	NOUN
fumecheng-12165	71	21	.	.	PUNCT
fumecheng-12165	72	1	1	1	X
fumecheng-12165	72	2	.	.	X
fumecheng-12165	73	1	here	here	ADV
fumecheng-12165	73	2	.	.	PUNCT
fumecheng-12165	74	1	ℎ1	ℎ1	PROPN
fumecheng-12165	74	2	,	,	PUNCT
fumecheng-12165	74	3	ℎ2	ℎ2	NOUN
fumecheng-12165	74	4	and	and	CCONJ
fumecheng-12165	74	5	h	h	NOUN
fumecheng-12165	74	6	are	be	AUX
fumecheng-12165	74	7	the	the	DET
fumecheng-12165	74	8	thickness	thickness	NOUN
fumecheng-12165	74	9	of	of	ADP
fumecheng-12165	74	10	upper	upper	ADJ
fumecheng-12165	74	11	layer	layer	NOUN
fumecheng-12165	74	12	,	,	PUNCT
fumecheng-12165	74	13	lower	low	ADJ
fumecheng-12165	74	14	layer	layer	NOUN
fumecheng-12165	74	15	and	and	CCONJ
fumecheng-12165	74	16	the	the	DET
fumecheng-12165	74	17	total	total	ADJ
fumecheng-12165	74	18	thickness	thickness	NOUN
fumecheng-12165	74	19	of	of	ADP
fumecheng-12165	74	20	the	the	DET
fumecheng-12165	74	21	ve	ve	NOUN
fumecheng-12165	74	22	sandwich	sandwich	NOUN
fumecheng-12165	74	23	beam	beam	NOUN
fumecheng-12165	74	24	,	,	PUNCT
fumecheng-12165	74	25	respectively	respectively	ADV
fumecheng-12165	74	26	,	,	PUNCT
fumecheng-12165	74	27	and	and	CCONJ
fumecheng-12165	74	28	l	l	NOUN
fumecheng-12165	74	29	is	be	AUX
fumecheng-12165	74	30	the	the	DET
fumecheng-12165	74	31	span	span	NOUN
fumecheng-12165	74	32	of	of	ADP
fumecheng-12165	74	33	ve	ve	VERB
fumecheng-12165	74	34	sandwich	sandwich	NOUN
fumecheng-12165	74	35	beam	beam	NOUN
fumecheng-12165	74	36	.	.	PUNCT
fumecheng-12165	75	1	the	the	DET
fumecheng-12165	75	2	shear	shear	NOUN
fumecheng-12165	75	3	strain	strain	NOUN
fumecheng-12165	75	4	of	of	ADP
fumecheng-12165	75	5	ve	ve	NOUN
fumecheng-12165	75	6	layer	layer	NOUN
fumecheng-12165	75	7	𝛾𝑥𝑧	𝛾𝑥𝑧	NOUN
fumecheng-12165	75	8	and	and	CCONJ
fumecheng-12165	75	9	rotation	rotation	NOUN
fumecheng-12165	75	10	of	of	ADP
fumecheng-12165	75	11	ve	ve	PROPN
fumecheng-12165	75	12	sandwich	sandwich	NOUN
fumecheng-12165	75	13	beam	beam	NOUN
fumecheng-12165	75	14	𝜃	𝜃	PRON
fumecheng-12165	75	15	could	could	AUX
fumecheng-12165	75	16	be	be	AUX
fumecheng-12165	75	17	expressed	express	VERB
fumecheng-12165	75	18	as	as	ADP
fumecheng-12165	75	19	[	[	X
fumecheng-12165	75	20	30	30	NUM
fumecheng-12165	75	21	]	]	NUM
fumecheng-12165	75	22	:	:	PUNCT
fumecheng-12165	75	23	𝛾𝑥𝑧	𝛾𝑥𝑧	NOUN
fumecheng-12165	75	24	=	=	PUNCT
fumecheng-12165	75	25	𝜃	𝜃	PROPN
fumecheng-12165	75	26	+	+	NUM
fumecheng-12165	75	27	𝜑𝑥	𝜑𝑥	PROPN
fumecheng-12165	75	28	(	(	PUNCT
fumecheng-12165	75	29	1	1	NUM
fumecheng-12165	75	30	)	)	PUNCT
fumecheng-12165	75	31	where	where	SCONJ
fumecheng-12165	75	32	𝜑𝑥	𝜑𝑥	PROPN
fumecheng-12165	75	33	is	be	AUX
fumecheng-12165	75	34	the	the	DET
fumecheng-12165	75	35	shear	shear	NOUN
fumecheng-12165	75	36	angle	angle	NOUN
fumecheng-12165	75	37	of	of	ADP
fumecheng-12165	75	38	ve	ve	NOUN
fumecheng-12165	75	39	core	core	NOUN
fumecheng-12165	75	40	since	since	SCONJ
fumecheng-12165	75	41	the	the	DET
fumecheng-12165	75	42	two	two	NUM
fumecheng-12165	75	43	elastic	elastic	ADJ
fumecheng-12165	75	44	layers	layer	NOUN
fumecheng-12165	75	45	are	be	AUX
fumecheng-12165	75	46	treated	treat	VERB
fumecheng-12165	75	47	as	as	ADP
fumecheng-12165	75	48	eulerbernoulli	eulerbernoulli	NOUN
fumecheng-12165	75	49	beams	beam	NOUN
fumecheng-12165	75	50	neglecting	neglect	VERB
fumecheng-12165	75	51	shear	shear	ADJ
fumecheng-12165	75	52	deformation	deformation	NOUN
fumecheng-12165	75	53	.	.	PUNCT
fumecheng-12165	76	1	594	594	NUM
fumecheng-12165	76	2	y.	y.	PROPN
fumecheng-12165	76	3	elmoghazy	elmoghazy	PROPN
fumecheng-12165	76	4	,	,	PUNCT
fumecheng-12165	76	5	b.	b.	PROPN
fumecheng-12165	76	6	safaei	safaei	PROPN
fumecheng-12165	76	7	,	,	PUNCT
fumecheng-12165	76	8	s.	s.	PROPN
fumecheng-12165	76	9	sahmani	sahmani	PROPN
fumecheng-12165	76	10	to	to	PART
fumecheng-12165	76	11	simplify	simplify	VERB
fumecheng-12165	76	12	fe	fe	NOUN
fumecheng-12165	76	13	modeling	modeling	NOUN
fumecheng-12165	76	14	and	and	CCONJ
fumecheng-12165	76	15	formulation	formulation	VERB
fumecheng-12165	76	16	the	the	DET
fumecheng-12165	76	17	following	follow	VERB
fumecheng-12165	76	18	basic	basic	ADJ
fumecheng-12165	76	19	assumptions	assumption	NOUN
fumecheng-12165	76	20	are	be	AUX
fumecheng-12165	76	21	proposed	propose	VERB
fumecheng-12165	76	22	:	:	PUNCT
fumecheng-12165	76	23	1	1	X
fumecheng-12165	76	24	.	.	X
fumecheng-12165	76	25	shear	shear	ADJ
fumecheng-12165	76	26	deformation	deformation	NOUN
fumecheng-12165	76	27	is	be	AUX
fumecheng-12165	76	28	negligible	negligible	ADJ
fumecheng-12165	76	29	for	for	ADP
fumecheng-12165	76	30	elastic	elastic	ADJ
fumecheng-12165	76	31	layers	layer	NOUN
fumecheng-12165	76	32	.	.	PUNCT
fumecheng-12165	77	1	2	2	X
fumecheng-12165	77	2	.	.	X
fumecheng-12165	77	3	the	the	DET
fumecheng-12165	77	4	vibrations	vibration	NOUN
fumecheng-12165	77	5	of	of	ADP
fumecheng-12165	77	6	the	the	DET
fumecheng-12165	77	7	ve	ve	NOUN
fumecheng-12165	77	8	sandwich	sandwich	NOUN
fumecheng-12165	77	9	beam	beam	NOUN
fumecheng-12165	77	10	is	be	AUX
fumecheng-12165	77	11	dissipated	dissipate	VERB
fumecheng-12165	77	12	through	through	ADP
fumecheng-12165	77	13	periodic	periodic	ADJ
fumecheng-12165	77	14	shear	shear	NOUN
fumecheng-12165	77	15	deformation	deformation	NOUN
fumecheng-12165	77	16	of	of	ADP
fumecheng-12165	77	17	the	the	DET
fumecheng-12165	77	18	ve	ve	NOUN
fumecheng-12165	77	19	layer	layer	NOUN
fumecheng-12165	77	20	.	.	PUNCT
fumecheng-12165	78	1	3	3	X
fumecheng-12165	78	2	.	.	X
fumecheng-12165	78	3	all	all	DET
fumecheng-12165	78	4	layers	layer	NOUN
fumecheng-12165	78	5	of	of	ADP
fumecheng-12165	78	6	ve	ve	VERB
fumecheng-12165	78	7	sandwich	sandwich	NOUN
fumecheng-12165	78	8	beam	beam	NOUN
fumecheng-12165	78	9	have	have	VERB
fumecheng-12165	78	10	the	the	DET
fumecheng-12165	78	11	same	same	ADJ
fumecheng-12165	78	12	transverse	transverse	NOUN
fumecheng-12165	78	13	displacement	displacement	NOUN
fumecheng-12165	78	14	𝑤.	𝑤.	NOUN
fumecheng-12165	78	15	4	4	NUM
fumecheng-12165	78	16	.	.	PUNCT
fumecheng-12165	79	1	all	all	DET
fumecheng-12165	79	2	layer	layer	NOUN
fumecheng-12165	79	3	interaction	interaction	NOUN
fumecheng-12165	79	4	is	be	AUX
fumecheng-12165	79	5	constrained	constrain	VERB
fumecheng-12165	79	6	.	.	PUNCT
fumecheng-12165	80	1	5	5	X
fumecheng-12165	80	2	.	.	X
fumecheng-12165	80	3	ve	ve	PROPN
fumecheng-12165	80	4	material	material	NOUN
fumecheng-12165	80	5	is	be	AUX
fumecheng-12165	80	6	considered	consider	VERB
fumecheng-12165	80	7	as	as	ADP
fumecheng-12165	80	8	small	small	ADJ
fumecheng-12165	80	9	strain	strain	NOUN
fumecheng-12165	80	10	linear	linear	PROPN
fumecheng-12165	80	11	ve	ve	PROPN
fumecheng-12165	80	12	.	.	PROPN
fumecheng-12165	80	13	fig	fig	NOUN
fumecheng-12165	80	14	.	.	PUNCT
fumecheng-12165	81	1	1	1	NUM
fumecheng-12165	81	2	passive	passive	ADJ
fumecheng-12165	81	3	damping	damp	VERB
fumecheng-12165	81	4	treatment	treatment	NOUN
fumecheng-12165	81	5	illustration	illustration	NOUN
fumecheng-12165	81	6	for	for	ADP
fumecheng-12165	81	7	typical	typical	ADJ
fumecheng-12165	81	8	ve	ve	VERB
fumecheng-12165	81	9	sandwich	sandwich	NOUN
fumecheng-12165	81	10	beam	beam	NOUN
fumecheng-12165	81	11	with	with	ADP
fumecheng-12165	81	12	a	a	DET
fumecheng-12165	81	13	deformed	deform	VERB
fumecheng-12165	81	14	shear	shear	NOUN
fumecheng-12165	81	15	configuration	configuration	NOUN
fumecheng-12165	81	16	axial	axial	ADJ
fumecheng-12165	81	17	and	and	CCONJ
fumecheng-12165	81	18	transverse	transverse	NOUN
fumecheng-12165	81	19	displacements	displacement	NOUN
fumecheng-12165	81	20	𝑢(𝑖)(𝑥	𝑢(𝑖)(𝑥	NUM
fumecheng-12165	81	21	,	,	PUNCT
fumecheng-12165	81	22	𝑧	𝑧	NOUN
fumecheng-12165	81	23	,	,	PUNCT
fumecheng-12165	81	24	𝑡	𝑡	NOUN
fumecheng-12165	81	25	)	)	PUNCT
fumecheng-12165	81	26	,	,	PUNCT
fumecheng-12165	81	27	𝑤(𝑖)(𝑥	𝑤(𝑖)(𝑥	PROPN
fumecheng-12165	81	28	,	,	PUNCT
fumecheng-12165	81	29	𝑧	𝑧	NOUN
fumecheng-12165	81	30	,	,	PUNCT
fumecheng-12165	81	31	𝑡	𝑡	NOUN
fumecheng-12165	81	32	)	)	PUNCT
fumecheng-12165	81	33	respectively	respectively	ADV
fumecheng-12165	81	34	,	,	PUNCT
fumecheng-12165	81	35	at	at	ADP
fumecheng-12165	81	36	any	any	DET
fumecheng-12165	81	37	point	point	NOUN
fumecheng-12165	81	38	within	within	ADP
fumecheng-12165	81	39	the	the	DET
fumecheng-12165	81	40	elastic	elastic	ADJ
fumecheng-12165	81	41	layers	layer	NOUN
fumecheng-12165	81	42	could	could	AUX
fumecheng-12165	81	43	be	be	AUX
fumecheng-12165	81	44	expressed	express	VERB
fumecheng-12165	81	45	as	as	ADP
fumecheng-12165	81	46	[	[	X
fumecheng-12165	81	47	31	31	NUM
fumecheng-12165	81	48	]	]	SYM
fumecheng-12165	81	49	:	:	PUNCT
fumecheng-12165	81	50	𝑢(𝑖)(𝑥	𝑢(𝑖)(𝑥	SYM
fumecheng-12165	81	51	,	,	PUNCT
fumecheng-12165	81	52	𝑧	𝑧	NOUN
fumecheng-12165	81	53	,	,	PUNCT
fumecheng-12165	81	54	𝑡	𝑡	NOUN
fumecheng-12165	81	55	)	)	PUNCT
fumecheng-12165	81	56	=	=	SYM
fumecheng-12165	81	57	𝑢𝑖(𝑥	𝑢𝑖(𝑥	X
fumecheng-12165	81	58	,	,	PUNCT
fumecheng-12165	81	59	𝑡	𝑡	NOUN
fumecheng-12165	81	60	)	)	PUNCT
fumecheng-12165	81	61	−	−	PROPN
fumecheng-12165	81	62	𝑧𝑖	𝑧𝑖	NUM
fumecheng-12165	81	63	𝜕𝑤𝑖(𝑥,𝑡	𝜕𝑤𝑖(𝑥,𝑡	ADJ
fumecheng-12165	81	64	)	)	PUNCT
fumecheng-12165	81	65	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	81	66	𝑤(𝑖)(𝑥	𝑤(𝑖)(𝑥	PROPN
fumecheng-12165	81	67	,	,	PUNCT
fumecheng-12165	81	68	𝑧	𝑧	NOUN
fumecheng-12165	81	69	,	,	PUNCT
fumecheng-12165	81	70	𝑡	𝑡	NOUN
fumecheng-12165	81	71	)	)	PUNCT
fumecheng-12165	81	72	=	=	SYM
fumecheng-12165	82	1	𝑤𝑖(𝑥	𝑤𝑖(𝑥	X
fumecheng-12165	82	2	,	,	PUNCT
fumecheng-12165	82	3	𝑡	𝑡	NOUN
fumecheng-12165	82	4	)	)	PUNCT
fumecheng-12165	82	5	}	}	PUNCT
fumecheng-12165	82	6	𝑖	𝑖	X
fumecheng-12165	82	7	=	=	SYM
fumecheng-12165	82	8	𝑐	𝑐	PROPN
fumecheng-12165	82	9	,	,	PUNCT
fumecheng-12165	82	10	𝑏	𝑏	PROPN
fumecheng-12165	82	11	(	(	PUNCT
fumecheng-12165	82	12	2	2	NUM
fumecheng-12165	82	13	)	)	PUNCT
fumecheng-12165	83	1	where	where	SCONJ
fumecheng-12165	83	2	𝑢𝑖(𝑥	𝑢𝑖(𝑥	NUM
fumecheng-12165	83	3	,	,	PUNCT
fumecheng-12165	83	4	𝑡	𝑡	NOUN
fumecheng-12165	83	5	)	)	PUNCT
fumecheng-12165	83	6	and	and	CCONJ
fumecheng-12165	83	7	𝑤𝑖	𝑤𝑖	ADP
fumecheng-12165	83	8	(	(	PUNCT
fumecheng-12165	83	9	𝑥	𝑥	NOUN
fumecheng-12165	83	10	,	,	PUNCT
fumecheng-12165	83	11	𝑡	𝑡	NOUN
fumecheng-12165	83	12	)	)	PUNCT
fumecheng-12165	83	13	are	be	AUX
fumecheng-12165	83	14	the	the	DET
fumecheng-12165	83	15	axial	axial	ADJ
fumecheng-12165	83	16	and	and	CCONJ
fumecheng-12165	83	17	transverse	transverse	NOUN
fumecheng-12165	83	18	displacements	displacement	NOUN
fumecheng-12165	83	19	,	,	PUNCT
fumecheng-12165	83	20	at	at	ADP
fumecheng-12165	83	21	the	the	DET
fumecheng-12165	83	22	centroid	centroid	NOUN
fumecheng-12165	83	23	point	point	NOUN
fumecheng-12165	83	24	of	of	ADP
fumecheng-12165	83	25	elastic	elastic	ADJ
fumecheng-12165	83	26	layers	layer	NOUN
fumecheng-12165	83	27	,	,	PUNCT
fumecheng-12165	83	28	respectively	respectively	ADV
fumecheng-12165	83	29	.	.	PUNCT
fumecheng-12165	84	1	the	the	DET
fumecheng-12165	84	2	relative	relative	ADJ
fumecheng-12165	84	3	kinematics	kinematic	NOUN
fumecheng-12165	84	4	relations	relation	NOUN
fumecheng-12165	84	5	of	of	ADP
fumecheng-12165	84	6	ve	ve	NOUN
fumecheng-12165	84	7	core	core	NOUN
fumecheng-12165	84	8	shear	shear	NOUN
fumecheng-12165	84	9	strain	strain	NOUN
fumecheng-12165	84	10	𝛾𝑥𝑧	𝛾𝑥𝑧	NOUN
fumecheng-12165	84	11	and	and	CCONJ
fumecheng-12165	84	12	axial	axial	ADJ
fumecheng-12165	84	13	displacement	displacement	NOUN
fumecheng-12165	84	14	𝑢𝑣	𝑢𝑣	NOUN
fumecheng-12165	84	15	can	can	AUX
fumecheng-12165	84	16	be	be	AUX
fumecheng-12165	84	17	derived	derive	VERB
fumecheng-12165	84	18	using	use	VERB
fumecheng-12165	84	19	local	local	ADJ
fumecheng-12165	84	20	coordinate	coordinate	NOUN
fumecheng-12165	84	21	system	system	NOUN
fumecheng-12165	84	22	and	and	CCONJ
fumecheng-12165	84	23	fsdt	fsdt	NOUN
fumecheng-12165	84	24	[	[	X
fumecheng-12165	84	25	32	32	NUM
fumecheng-12165	84	26	]	]	PUNCT
fumecheng-12165	84	27	as	as	ADP
fumecheng-12165	84	28	:	:	PUNCT
fumecheng-12165	84	29	𝑢𝑣	𝑢𝑣	NOUN
fumecheng-12165	84	30	=	=	SYM
fumecheng-12165	84	31	1	1	NUM
fumecheng-12165	84	32	2	2	NUM
fumecheng-12165	84	33	(	(	PUNCT
fumecheng-12165	84	34	𝑢𝑐	𝑢𝑐	VERB
fumecheng-12165	84	35	+	+	CCONJ
fumecheng-12165	84	36	𝑢𝑏	𝑢𝑏	ADJ
fumecheng-12165	84	37	)	)	PUNCT
fumecheng-12165	84	38	+	+	CCONJ
fumecheng-12165	84	39	1	1	NUM
fumecheng-12165	84	40	4	4	NUM
fumecheng-12165	84	41	(	(	PUNCT
fumecheng-12165	84	42	ℎ1−ℎ2	ℎ1−ℎ2	NOUN
fumecheng-12165	84	43	)	)	PUNCT
fumecheng-12165	84	44	𝜕𝑤	𝜕𝑤	VERB
fumecheng-12165	84	45	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	84	46	(	(	PUNCT
fumecheng-12165	84	47	3	3	X
fumecheng-12165	84	48	)	)	PUNCT
fumecheng-12165	84	49	𝛾𝑥𝑧	𝛾𝑥𝑧	NOUN
fumecheng-12165	84	50	=	=	SYM
fumecheng-12165	84	51	1	1	NUM
fumecheng-12165	84	52	𝐻−(ℎ1+ℎ2	𝐻−(ℎ1+ℎ2	PROPN
fumecheng-12165	84	53	)	)	PUNCT
fumecheng-12165	85	1	[	[	X
fumecheng-12165	85	2	(	(	PUNCT
fumecheng-12165	85	3	𝑢𝑐	𝑢𝑐	VERB
fumecheng-12165	85	4	−	−	VERB
fumecheng-12165	85	5	𝑢𝑏	𝑢𝑏	ADP
fumecheng-12165	85	6	)	)	PUNCT
fumecheng-12165	85	7	+	+	CCONJ
fumecheng-12165	85	8	(	(	PUNCT
fumecheng-12165	85	9	ℎ1+ℎ2	ℎ1+ℎ2	PROPN
fumecheng-12165	85	10	2	2	NUM
fumecheng-12165	85	11	+	+	CCONJ
fumecheng-12165	85	12	(	(	PUNCT
fumecheng-12165	85	13	𝐻	𝐻	PROPN
fumecheng-12165	85	14	−	−	PROPN
fumecheng-12165	85	15	(	(	PUNCT
fumecheng-12165	85	16	ℎ1+ℎ2	ℎ1+ℎ2	NOUN
fumecheng-12165	85	17	)	)	PUNCT
fumecheng-12165	85	18	)	)	PUNCT
fumecheng-12165	85	19	𝜕𝑤	𝜕𝑤	VERB
fumecheng-12165	85	20	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	85	21	]	]	PUNCT
fumecheng-12165	85	22	(	(	PUNCT
fumecheng-12165	85	23	4	4	X
fumecheng-12165	85	24	)	)	PUNCT
fumecheng-12165	85	25	595	595	NUM
fumecheng-12165	85	26	dynamics	dynamic	NOUN
fumecheng-12165	85	27	analysis	analysis	NOUN
fumecheng-12165	85	28	of	of	ADP
fumecheng-12165	85	29	viscoelastic	viscoelastic	NOUN
fumecheng-12165	85	30	sandwiched	sandwich	VERB
fumecheng-12165	85	31	structures	structure	NOUN
fumecheng-12165	85	32	integrated	integrate	VERB
fumecheng-12165	85	33	with	with	ADP
fumecheng-12165	85	34	aluminum	aluminum	NOUN
fumecheng-12165	85	35	sheets	sheet	NOUN
fumecheng-12165	85	36	3	3	NUM
fumecheng-12165	85	37	.	.	X
fumecheng-12165	85	38	finite	finite	PROPN
fumecheng-12165	85	39	element	element	NOUN
fumecheng-12165	85	40	modelling	model	VERB
fumecheng-12165	85	41	3.1	3.1	NUM
fumecheng-12165	85	42	.	.	PUNCT
fumecheng-12165	86	1	degrees	degree	NOUN
fumecheng-12165	86	2	of	of	ADP
fumecheng-12165	86	3	freedom	freedom	NOUN
fumecheng-12165	86	4	and	and	CCONJ
fumecheng-12165	86	5	shape	shape	NOUN
fumecheng-12165	86	6	functions	function	NOUN
fumecheng-12165	86	7	of	of	ADP
fumecheng-12165	86	8	proposed	propose	VERB
fumecheng-12165	86	9	beam	beam	NOUN
fumecheng-12165	86	10	model	model	NOUN
fumecheng-12165	86	11	the	the	DET
fumecheng-12165	86	12	integral	integral	ADJ
fumecheng-12165	86	13	shear	shear	NOUN
fumecheng-12165	86	14	beam	beam	NOUN
fumecheng-12165	86	15	element	element	NOUN
fumecheng-12165	86	16	with	with	ADP
fumecheng-12165	86	17	two	two	NUM
fumecheng-12165	86	18	nodes	node	NOUN
fumecheng-12165	86	19	i	i	PRON
fumecheng-12165	86	20	and	and	CCONJ
fumecheng-12165	86	21	j	j	PROPN
fumecheng-12165	86	22	is	be	AUX
fumecheng-12165	86	23	shown	show	VERB
fumecheng-12165	86	24	in	in	ADP
fumecheng-12165	86	25	fig	fig	NOUN
fumecheng-12165	86	26	.	.	PUNCT
fumecheng-12165	87	1	2	2	X
fumecheng-12165	87	2	.	.	X
fumecheng-12165	87	3	each	each	DET
fumecheng-12165	87	4	node	node	NOUN
fumecheng-12165	87	5	had	have	VERB
fumecheng-12165	87	6	four	four	NUM
fumecheng-12165	87	7	dof	dof	NOUN
fumecheng-12165	87	8	with	with	ADP
fumecheng-12165	87	9	lateral	lateral	ADJ
fumecheng-12165	87	10	displacement	displacement	NOUN
fumecheng-12165	87	11	𝑤	𝑤	X
fumecheng-12165	87	12	along	along	ADP
fumecheng-12165	87	13	z	z	NOUN
fumecheng-12165	87	14	-	-	PUNCT
fumecheng-12165	87	15	direction	direction	NOUN
fumecheng-12165	87	16	,	,	PUNCT
fumecheng-12165	87	17	rotation	rotation	NOUN
fumecheng-12165	87	18	𝜃	𝜃	NOUN
fumecheng-12165	87	19	about	about	ADP
fumecheng-12165	87	20	x	x	NOUN
fumecheng-12165	87	21	-	-	NOUN
fumecheng-12165	87	22	axis	axis	ADJ
fumecheng-12165	87	23	,	,	PUNCT
fumecheng-12165	87	24	and	and	CCONJ
fumecheng-12165	87	25	axial	axial	ADJ
fumecheng-12165	87	26	displacements	displacement	NOUN
fumecheng-12165	87	27	of	of	ADP
fumecheng-12165	87	28	elastic	elastic	ADJ
fumecheng-12165	87	29	layers	layer	NOUN
fumecheng-12165	87	30	𝑢𝑐	𝑢𝑐	VERB
fumecheng-12165	87	31	and	and	CCONJ
fumecheng-12165	87	32	𝑢𝑏.	𝑢𝑏.	VERB
fumecheng-12165	87	33	the	the	DET
fumecheng-12165	87	34	total	total	ADJ
fumecheng-12165	87	35	set	set	NOUN
fumecheng-12165	87	36	of	of	ADP
fumecheng-12165	87	37	element	element	NOUN
fumecheng-12165	87	38	nodal	nodal	NOUN
fumecheng-12165	87	39	displacements	displacement	NOUN
fumecheng-12165	87	40	{	{	PUNCT
fumecheng-12165	87	41	𝑑𝑒	𝑑𝑒	INTJ
fumecheng-12165	87	42	}	}	PUNCT
fumecheng-12165	87	43	are	be	AUX
fumecheng-12165	87	44	given	give	VERB
fumecheng-12165	87	45	as	as	ADP
fumecheng-12165	87	46	:	:	PUNCT
fumecheng-12165	87	47	{	{	PUNCT
fumecheng-12165	87	48	𝑑𝑒	𝑑𝑒	INTJ
fumecheng-12165	87	49	}	}	PUNCT
fumecheng-12165	87	50	=	=	SYM
fumecheng-12165	87	51	{	{	PUNCT
fumecheng-12165	87	52	𝑑𝑖	𝑑𝑖	PROPN
fumecheng-12165	87	53	𝑑𝑗	𝑑𝑗	PROPN
fumecheng-12165	87	54	}	}	PUNCT
fumecheng-12165	87	55	=	=	SYM
fumecheng-12165	87	56	{	{	PUNCT
fumecheng-12165	87	57	𝑤𝑖	𝑤𝑖	NOUN
fumecheng-12165	87	58	𝜃𝑖	𝜃𝑖	PRON
fumecheng-12165	87	59	𝑢𝑏𝑖	𝑢𝑏𝑖	PROPN
fumecheng-12165	87	60	𝑢𝑐𝑖	𝑢𝑐𝑖	NOUN
fumecheng-12165	87	61	𝑤𝑗	𝑤𝑗	INTJ
fumecheng-12165	87	62	𝜃𝑗	𝜃𝑗	NOUN
fumecheng-12165	87	63	𝑢𝑏𝑗	𝑢𝑏𝑗	ADJ
fumecheng-12165	87	64	𝑢𝑐𝑗}𝑇	𝑢𝑐𝑗}𝑇	PROPN
fumecheng-12165	87	65	(	(	PUNCT
fumecheng-12165	87	66	5	5	NUM
fumecheng-12165	87	67	)	)	PUNCT
fumecheng-12165	87	68	θi	θi	NOUN
fumecheng-12165	87	69	θj	θj	NOUN
fumecheng-12165	87	70	wi	wi	PROPN
fumecheng-12165	87	71	wj	wj	PROPN
fumecheng-12165	87	72	uci	uci	PROPN
fumecheng-12165	87	73	ubi	ubi	PROPN
fumecheng-12165	87	74	ucj	ucj	PROPN
fumecheng-12165	87	75	ubj	ubj	INTJ
fumecheng-12165	88	1	i	i	PRON
fumecheng-12165	88	2	j	j	PROPN
fumecheng-12165	88	3	zc	zc	NOUN
fumecheng-12165	88	4	zb	zb	PROPN
fumecheng-12165	88	5	u1	u1	PROPN
fumecheng-12165	88	6	u2	u2	PROPN
fumecheng-12165	88	7	fig	fig	PROPN
fumecheng-12165	88	8	.	.	PUNCT
fumecheng-12165	89	1	2	2	NUM
fumecheng-12165	89	2	integral	integral	ADJ
fumecheng-12165	89	3	shear	shear	NOUN
fumecheng-12165	89	4	beam	beam	NOUN
fumecheng-12165	89	5	element	element	NOUN
fumecheng-12165	89	6	the	the	DET
fumecheng-12165	89	7	transverse	transverse	ADJ
fumecheng-12165	89	8	displacement	displacement	ADJ
fumecheng-12165	89	9	field	field	NOUN
fumecheng-12165	89	10	𝑤(𝑥	𝑤(𝑥	NOUN
fumecheng-12165	89	11	)	)	PUNCT
fumecheng-12165	89	12	,	,	PUNCT
fumecheng-12165	89	13	rotation	rotation	NOUN
fumecheng-12165	89	14	field	field	NOUN
fumecheng-12165	89	15	𝜃(𝑥	𝜃(𝑥	NOUN
fumecheng-12165	89	16	)	)	PUNCT
fumecheng-12165	90	1	=	=	SYM
fumecheng-12165	90	2	𝜕𝑤	𝜕𝑤	VERB
fumecheng-12165	90	3	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	90	4	,	,	PUNCT
fumecheng-12165	90	5	and	and	CCONJ
fumecheng-12165	90	6	axial	axial	ADJ
fumecheng-12165	90	7	displacement	displacement	ADJ
fumecheng-12165	90	8	field	field	NOUN
fumecheng-12165	90	9	of	of	ADP
fumecheng-12165	90	10	elastic	elastic	ADJ
fumecheng-12165	90	11	layers	layer	NOUN
fumecheng-12165	90	12	𝑢𝑏(𝑥	𝑢𝑏(𝑥	NOUN
fumecheng-12165	90	13	)	)	PUNCT
fumecheng-12165	90	14	and	and	CCONJ
fumecheng-12165	90	15	𝑢𝑐(𝑥	𝑢𝑐(𝑥	NUM
fumecheng-12165	90	16	)	)	PUNCT
fumecheng-12165	90	17	are	be	AUX
fumecheng-12165	90	18	expressed	express	VERB
fumecheng-12165	90	19	as	as	ADP
fumecheng-12165	90	20	a	a	DET
fumecheng-12165	90	21	cubic	cubic	ADJ
fumecheng-12165	90	22	polynomial	polynomial	ADJ
fumecheng-12165	90	23	function	function	NOUN
fumecheng-12165	90	24	:	:	PUNCT
fumecheng-12165	90	25	𝑤(𝑥	𝑤(𝑥	X
fumecheng-12165	90	26	)	)	PUNCT
fumecheng-12165	90	27	=	=	SYM
fumecheng-12165	90	28	𝑐0	𝑐0	NOUN
fumecheng-12165	90	29	+	+	NOUN
fumecheng-12165	90	30	𝑐1𝑠	𝑐1𝑠	NOUN
fumecheng-12165	90	31	+	+	CCONJ
fumecheng-12165	90	32	𝑐2𝑠	𝑐2𝑠	NOUN
fumecheng-12165	90	33	2	2	NUM
fumecheng-12165	90	34	+	+	NUM
fumecheng-12165	90	35	𝑐3𝑠	𝑐3𝑠	X
fumecheng-12165	90	36	3	3	NUM
fumecheng-12165	90	37	(	(	PUNCT
fumecheng-12165	90	38	6	6	NUM
fumecheng-12165	90	39	)	)	PUNCT
fumecheng-12165	90	40	𝜃(𝑥	𝜃(𝑥	NOUN
fumecheng-12165	90	41	)	)	PUNCT
fumecheng-12165	91	1	=	=	VERB
fumecheng-12165	91	2	𝑐1	𝑐1	NOUN
fumecheng-12165	91	3	+	+	CCONJ
fumecheng-12165	91	4	2𝑐2𝑠	2𝑐2𝑠	ADJ
fumecheng-12165	91	5	+	+	NUM
fumecheng-12165	91	6	3𝑐3𝑠	3𝑐3𝑠	NUM
fumecheng-12165	91	7	2	2	NUM
fumecheng-12165	91	8	(	(	PUNCT
fumecheng-12165	91	9	7	7	NUM
fumecheng-12165	91	10	)	)	PUNCT
fumecheng-12165	91	11	𝑢𝑏(𝑥	𝑢𝑏(𝑥	NOUN
fumecheng-12165	91	12	)	)	PUNCT
fumecheng-12165	91	13	=	=	SYM
fumecheng-12165	91	14	𝑐4	𝑐4	NOUN
fumecheng-12165	91	15	+	+	CCONJ
fumecheng-12165	91	16	𝑐5𝑠	𝑐5𝑠	X
fumecheng-12165	91	17	,	,	PUNCT
fumecheng-12165	91	18	 	 	SPACE
fumecheng-12165	91	19	𝑢𝑐(𝑥	𝑢𝑐(𝑥	ADJ
fumecheng-12165	91	20	)	)	PUNCT
fumecheng-12165	91	21	=	=	SYM
fumecheng-12165	91	22	𝑐6	𝑐6	NOUN
fumecheng-12165	91	23	+	+	CCONJ
fumecheng-12165	91	24	𝑐7𝑠	𝑐7𝑠	PROPN
fumecheng-12165	91	25	(	(	PUNCT
fumecheng-12165	91	26	8)	8)	NUM
fumecheng-12165	91	27	where	where	SCONJ
fumecheng-12165	91	28	𝑠	𝑠	PROPN
fumecheng-12165	91	29	=	=	PRON
fumecheng-12165	91	30	𝑥/𝑙𝑒	𝑥/𝑙𝑒	PROPN
fumecheng-12165	91	31	represents	represent	VERB
fumecheng-12165	91	32	the	the	DET
fumecheng-12165	91	33	normalized	normalize	VERB
fumecheng-12165	91	34	coordinate	coordinate	NOUN
fumecheng-12165	91	35	with	with	ADP
fumecheng-12165	91	36	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	91	37	being	be	AUX
fumecheng-12165	91	38	equivalent	equivalent	ADJ
fumecheng-12165	91	39	element	element	NOUN
fumecheng-12165	91	40	length	length	NOUN
fumecheng-12165	91	41	.	.	PUNCT
fumecheng-12165	92	1	from	from	ADP
fumecheng-12165	92	2	eqs	eqs	PROPN
fumecheng-12165	92	3	.	.	PUNCT
fumecheng-12165	93	1	(	(	PUNCT
fumecheng-12165	93	2	6	6	NUM
fumecheng-12165	93	3	)	)	PUNCT
fumecheng-12165	93	4	,	,	PUNCT
fumecheng-12165	93	5	(	(	PUNCT
fumecheng-12165	93	6	7	7	NUM
fumecheng-12165	93	7	)	)	PUNCT
fumecheng-12165	93	8	,	,	PUNCT
fumecheng-12165	93	9	and	and	CCONJ
fumecheng-12165	93	10	(	(	PUNCT
fumecheng-12165	93	11	8)	8)	NUM
fumecheng-12165	93	12	the	the	DET
fumecheng-12165	93	13	element	element	ADJ
fumecheng-12165	93	14	displacement	displacement	NOUN
fumecheng-12165	93	15	field	field	NOUN
fumecheng-12165	93	16	within	within	ADP
fumecheng-12165	93	17	the	the	DET
fumecheng-12165	93	18	element	element	NOUN
fumecheng-12165	93	19	could	could	AUX
fumecheng-12165	93	20	be	be	AUX
fumecheng-12165	93	21	expressed	express	VERB
fumecheng-12165	93	22	in	in	ADP
fumecheng-12165	93	23	matrix	matrix	NOUN
fumecheng-12165	93	24	form	form	NOUN
fumecheng-12165	93	25	as	as	ADP
fumecheng-12165	93	26	:	:	PUNCT
fumecheng-12165	93	27	{	{	PUNCT
fumecheng-12165	93	28	𝑤	𝑤	PART
fumecheng-12165	93	29	𝜃	𝜃	NOUN
fumecheng-12165	93	30	𝑢𝑏	𝑢𝑏	ADV
fumecheng-12165	93	31	𝑢𝑐	𝑢𝑐	VERB
fumecheng-12165	93	32	}	}	PUNCT
fumecheng-12165	93	33	=	=	PROPN
fumecheng-12165	94	1	[	[	X
fumecheng-12165	94	2	𝑇]{𝑐	𝑇]{𝑐	NOUN
fumecheng-12165	94	3	}	}	PUNCT
fumecheng-12165	94	4	=	=	PUNCT
fumecheng-12165	94	5	[	[	PUNCT
fumecheng-12165	94	6	1	1	NUM
fumecheng-12165	94	7	𝑠	𝑠	NUM
fumecheng-12165	94	8	𝑠2	𝑠2	NOUN
fumecheng-12165	94	9	𝑠3	𝑠3	NOUN
fumecheng-12165	94	10	0	0	NUM
fumecheng-12165	94	11	0	0	NUM
fumecheng-12165	94	12	0	0	NUM
fumecheng-12165	94	13	0	0	NUM
fumecheng-12165	94	14	0	0	NUM
fumecheng-12165	94	15	1	1	NUM
fumecheng-12165	94	16	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	94	17	2𝑠	2𝑠	PROPN
fumecheng-12165	94	18	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	94	19	3𝑠2	3𝑠2	NUM
fumecheng-12165	94	20	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	94	21	0	0	NUM
fumecheng-12165	94	22	0	0	NUM
fumecheng-12165	94	23	0	0	NUM
fumecheng-12165	94	24	0	0	NUM
fumecheng-12165	94	25	0	0	NUM
fumecheng-12165	94	26	0	0	NUM
fumecheng-12165	94	27	0	0	NUM
fumecheng-12165	94	28	0	0	NUM
fumecheng-12165	94	29	1	1	NUM
fumecheng-12165	94	30	𝑠	𝑠	NUM
fumecheng-12165	94	31	0	0	NUM
fumecheng-12165	94	32	0	0	NUM
fumecheng-12165	94	33	0	0	NUM
fumecheng-12165	94	34	0	0	NUM
fumecheng-12165	94	35	0	0	NUM
fumecheng-12165	94	36	0	0	NUM
fumecheng-12165	94	37	0	0	NUM
fumecheng-12165	94	38	0	0	NUM
fumecheng-12165	94	39	1	1	NUM
fumecheng-12165	94	40	𝑠	𝑠	NOUN
fumecheng-12165	94	41	]	]	X
fumecheng-12165	94	42	{	{	PUNCT
fumecheng-12165	94	43	𝑐0	𝑐0	NOUN
fumecheng-12165	94	44	𝑐1	𝑐1	NOUN
fumecheng-12165	94	45	𝑐3	𝑐3	NOUN
fumecheng-12165	94	46	⋮	⋮	NOUN
fumecheng-12165	94	47	𝑐7	𝑐7	VERB
fumecheng-12165	94	48	}	}	PUNCT
fumecheng-12165	94	49	(	(	PUNCT
fumecheng-12165	94	50	9	9	NUM
fumecheng-12165	94	51	)	)	PUNCT
fumecheng-12165	94	52	where	where	SCONJ
fumecheng-12165	94	53	𝑠	𝑠	NOUN
fumecheng-12165	94	54	=	=	PRON
fumecheng-12165	94	55	𝑥/𝑙𝑒	𝑥/𝑙𝑒	PROPN
fumecheng-12165	94	56	represents	represent	VERB
fumecheng-12165	94	57	the	the	DET
fumecheng-12165	94	58	normalized	normalize	VERB
fumecheng-12165	94	59	coordinate	coordinate	NOUN
fumecheng-12165	94	60	with	with	ADP
fumecheng-12165	94	61	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	94	62	being	be	AUX
fumecheng-12165	94	63	equivalent	equivalent	ADJ
fumecheng-12165	94	64	element	element	NOUN
fumecheng-12165	94	65	length	length	NOUN
fumecheng-12165	94	66	.	.	PUNCT
fumecheng-12165	95	1	{	{	PUNCT
fumecheng-12165	95	2	𝑐	𝑐	NOUN
fumecheng-12165	95	3	}	}	PUNCT
fumecheng-12165	95	4	and	and	CCONJ
fumecheng-12165	95	5	[	[	X
fumecheng-12165	95	6	𝑇	𝑇	X
fumecheng-12165	95	7	]	]	X
fumecheng-12165	95	8	are	be	AUX
fumecheng-12165	95	9	the	the	DET
fumecheng-12165	95	10	coefficient	coefficient	NOUN
fumecheng-12165	95	11	matrix	matrix	NOUN
fumecheng-12165	95	12	and	and	CCONJ
fumecheng-12165	95	13	polynomial	polynomial	ADJ
fumecheng-12165	95	14	matrix	matrix	NOUN
fumecheng-12165	95	15	,	,	PUNCT
fumecheng-12165	95	16	respectively	respectively	ADV
fumecheng-12165	95	17	which	which	PRON
fumecheng-12165	95	18	can	can	AUX
fumecheng-12165	95	19	be	be	AUX
fumecheng-12165	95	20	represented	represent	VERB
fumecheng-12165	95	21	by	by	ADP
fumecheng-12165	95	22	element	element	NOUN
fumecheng-12165	95	23	nodal	nodal	NOUN
fumecheng-12165	95	24	displacements	displacement	NOUN
fumecheng-12165	95	25	{	{	PUNCT
fumecheng-12165	95	26	𝑑𝑒	𝑑𝑒	INTJ
fumecheng-12165	95	27	}	}	PUNCT
fumecheng-12165	95	28	explicitly	explicitly	ADV
fumecheng-12165	95	29	in	in	ADP
fumecheng-12165	95	30	matrix	matrix	NOUN
fumecheng-12165	95	31	form	form	NOUN
fumecheng-12165	95	32	as	as	ADP
fumecheng-12165	95	33	[	[	X
fumecheng-12165	95	34	32	32	NUM
fumecheng-12165	95	35	]	]	PUNCT
fumecheng-12165	95	36	:	:	PUNCT
fumecheng-12165	95	37	{	{	PUNCT
fumecheng-12165	95	38	𝑑	𝑑	NOUN
fumecheng-12165	95	39	}	}	PUNCT
fumecheng-12165	95	40	=	=	PROPN
fumecheng-12165	96	1	[	[	X
fumecheng-12165	96	2	𝑇]{𝑐	𝑇]{𝑐	NOUN
fumecheng-12165	96	3	}	}	PUNCT
fumecheng-12165	96	4	=	=	PUNCT
fumecheng-12165	97	1	[	[	X
fumecheng-12165	97	2	𝑇][𝑄−1]{𝑑𝑒	𝑇][𝑄−1]{𝑑𝑒	X
fumecheng-12165	97	3	}	}	PUNCT
fumecheng-12165	97	4	=	=	PUNCT
fumecheng-12165	98	1	[	[	X
fumecheng-12165	98	2	𝑁]{𝑑𝑒	𝑁]{𝑑𝑒	X
fumecheng-12165	98	3	}	}	PUNCT
fumecheng-12165	98	4	(	(	PUNCT
fumecheng-12165	98	5	10	10	NUM
fumecheng-12165	98	6	)	)	PUNCT
fumecheng-12165	98	7	where	where	SCONJ
fumecheng-12165	98	8	n	n	PRON
fumecheng-12165	98	9	is	be	AUX
fumecheng-12165	98	10	the	the	DET
fumecheng-12165	98	11	shape	shape	NOUN
fumecheng-12165	98	12	function	function	NOUN
fumecheng-12165	98	13	matrix	matrix	NOUN
fumecheng-12165	98	14	corresponding	correspond	VERB
fumecheng-12165	98	15	to	to	ADP
fumecheng-12165	98	16	the	the	DET
fumecheng-12165	98	17	four	four	NUM
fumecheng-12165	98	18	nodal	nodal	NOUN
fumecheng-12165	98	19	dof	dof	NOUN
fumecheng-12165	98	20	of	of	ADP
fumecheng-12165	98	21	each	each	DET
fumecheng-12165	98	22	node	node	NOUN
fumecheng-12165	98	23	in	in	ADP
fumecheng-12165	98	24	the	the	DET
fumecheng-12165	98	25	form	form	NOUN
fumecheng-12165	98	26	of	of	ADP
fumecheng-12165	98	27	4×8	4×8	NOUN
fumecheng-12165	98	28	matrix	matrix	NOUN
fumecheng-12165	98	29	and	and	CCONJ
fumecheng-12165	98	30	𝑄	𝑄	PRON
fumecheng-12165	98	31	is	be	AUX
fumecheng-12165	98	32	8×8	8×8	NUM
fumecheng-12165	98	33	matrix	matrix	NOUN
fumecheng-12165	98	34	that	that	PRON
fumecheng-12165	98	35	depends	depend	VERB
fumecheng-12165	98	36	on	on	ADP
fumecheng-12165	98	37	the	the	DET
fumecheng-12165	98	38	applied	apply	VERB
fumecheng-12165	98	39	boundary	boundary	ADJ
fumecheng-12165	98	40	condition	condition	NOUN
fumecheng-12165	98	41	.	.	PUNCT
fumecheng-12165	99	1	using	use	VERB
fumecheng-12165	99	2	eq	eq	X
fumecheng-12165	99	3	.	.	PUNCT
fumecheng-12165	100	1	(	(	PUNCT
fumecheng-12165	100	2	10	10	NUM
fumecheng-12165	100	3	)	)	PUNCT
fumecheng-12165	100	4	and	and	CCONJ
fumecheng-12165	100	5	applying	apply	VERB
fumecheng-12165	100	6	the	the	DET
fumecheng-12165	100	7	c	c	NOUN
fumecheng-12165	100	8	-	-	PUNCT
fumecheng-12165	100	9	f	f	PROPN
fumecheng-12165	100	10	boundary	boundary	ADJ
fumecheng-12165	100	11	condition	condition	NOUN
fumecheng-12165	100	12	,	,	PUNCT
fumecheng-12165	100	13	the	the	DET
fumecheng-12165	100	14	𝑄	𝑄	PROPN
fumecheng-12165	100	15	matrix	matrix	NOUN
fumecheng-12165	100	16	is	be	AUX
fumecheng-12165	100	17	obtained	obtain	VERB
fumecheng-12165	100	18	in	in	ADP
fumecheng-12165	100	19	a	a	DET
fumecheng-12165	100	20	matrix	matrix	NOUN
fumecheng-12165	100	21	form	form	NOUN
fumecheng-12165	100	22	as	as	ADP
fumecheng-12165	100	23	:	:	PUNCT
fumecheng-12165	100	24	596	596	NUM
fumecheng-12165	100	25	y.	y.	PROPN
fumecheng-12165	100	26	elmoghazy	elmoghazy	PROPN
fumecheng-12165	100	27	,	,	PUNCT
fumecheng-12165	100	28	b.	b.	PROPN
fumecheng-12165	100	29	safaei	safaei	PROPN
fumecheng-12165	100	30	,	,	PUNCT
fumecheng-12165	100	31	s.	s.	PROPN
fumecheng-12165	100	32	sahmani	sahmani	PROPN
fumecheng-12165	100	33	𝑄	𝑄	PROPN
fumecheng-12165	101	1	=	=	PUNCT
fumecheng-12165	101	2	[	[	PUNCT
fumecheng-12165	101	3	1	1	NUM
fumecheng-12165	101	4	1	1	NUM
fumecheng-12165	101	5	1	1	NUM
fumecheng-12165	101	6	1	1	NUM
fumecheng-12165	101	7	0	0	NUM
fumecheng-12165	101	8	0	0	NUM
fumecheng-12165	101	9	0	0	NUM
fumecheng-12165	101	10	0	0	NUM
fumecheng-12165	101	11	0	0	NUM
fumecheng-12165	101	12	1	1	NUM
fumecheng-12165	101	13	𝑙𝑒	𝑙𝑒	NUM
fumecheng-12165	101	14	2	2	NUM
fumecheng-12165	101	15	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	101	16	3	3	NUM
fumecheng-12165	101	17	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	101	18	0	0	NUM
fumecheng-12165	101	19	0	0	NUM
fumecheng-12165	101	20	0	0	NUM
fumecheng-12165	101	21	0	0	NUM
fumecheng-12165	101	22	0	0	NUM
fumecheng-12165	101	23	0	0	NUM
fumecheng-12165	101	24	0	0	NUM
fumecheng-12165	101	25	0	0	NUM
fumecheng-12165	101	26	1	1	NUM
fumecheng-12165	101	27	1	1	NUM
fumecheng-12165	101	28	0	0	NUM
fumecheng-12165	101	29	0	0	NUM
fumecheng-12165	101	30	0	0	NUM
fumecheng-12165	101	31	0	0	NUM
fumecheng-12165	101	32	0	0	NUM
fumecheng-12165	101	33	0	0	NUM
fumecheng-12165	101	34	0	0	NUM
fumecheng-12165	101	35	0	0	NUM
fumecheng-12165	101	36	1	1	NUM
fumecheng-12165	101	37	1	1	NUM
fumecheng-12165	101	38	1	1	NUM
fumecheng-12165	101	39	0	0	NUM
fumecheng-12165	101	40	0	0	NUM
fumecheng-12165	101	41	0	0	NUM
fumecheng-12165	101	42	0	0	NUM
fumecheng-12165	101	43	0	0	NUM
fumecheng-12165	101	44	0	0	NUM
fumecheng-12165	101	45	0	0	NUM
fumecheng-12165	101	46	0	0	NUM
fumecheng-12165	101	47	1	1	NUM
fumecheng-12165	101	48	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	101	49	0	0	NUM
fumecheng-12165	101	50	0	0	NUM
fumecheng-12165	101	51	0	0	NUM
fumecheng-12165	101	52	0	0	NUM
fumecheng-12165	101	53	0	0	NUM
fumecheng-12165	101	54	0	0	NUM
fumecheng-12165	101	55	0	0	NUM
fumecheng-12165	101	56	0	0	NUM
fumecheng-12165	101	57	0	0	NUM
fumecheng-12165	101	58	0	0	NUM
fumecheng-12165	101	59	1	1	NUM
fumecheng-12165	101	60	0	0	NUM
fumecheng-12165	101	61	0	0	NUM
fumecheng-12165	101	62	0	0	NUM
fumecheng-12165	101	63	0	0	NUM
fumecheng-12165	101	64	0	0	NUM
fumecheng-12165	101	65	0	0	NUM
fumecheng-12165	101	66	0	0	NUM
fumecheng-12165	101	67	0	0	NUM
fumecheng-12165	101	68	0	0	NUM
fumecheng-12165	101	69	1	1	NUM
fumecheng-12165	101	70	0	0	NUM
fumecheng-12165	101	71	]	]	X
fumecheng-12165	101	72	(	(	PUNCT
fumecheng-12165	101	73	11	11	NUM
fumecheng-12165	101	74	)	)	PUNCT
fumecheng-12165	101	75	the	the	DET
fumecheng-12165	101	76	shape	shape	NOUN
fumecheng-12165	101	77	function	function	NOUN
fumecheng-12165	101	78	is	be	AUX
fumecheng-12165	101	79	obtained	obtain	VERB
fumecheng-12165	101	80	after	after	ADP
fumecheng-12165	101	81	the	the	DET
fumecheng-12165	101	82	decoupling	decoupling	NOUN
fumecheng-12165	101	83	-	-	PUNCT
fumecheng-12165	101	84	inversion	inversion	NOUN
fumecheng-12165	101	85	operation	operation	NOUN
fumecheng-12165	101	86	using	use	VERB
fumecheng-12165	101	87	𝑄−1	𝑄−1	PROPN
fumecheng-12165	101	88	as	as	ADP
fumecheng-12165	101	89	:	:	PUNCT
fumecheng-12165	101	90	[	[	X
fumecheng-12165	101	91	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	101	92	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	101	93	′	′	NUM
fumecheng-12165	101	94	𝑁1	𝑁1	PROPN
fumecheng-12165	101	95	𝑁2	𝑁2	NOUN
fumecheng-12165	101	96	]	]	PUNCT
fumecheng-12165	101	97	𝑇	𝑇	PROPN
fumecheng-12165	101	98	=	=	SYM
fumecheng-12165	101	99	𝑇𝑄−1	𝑇𝑄−1	NOUN
fumecheng-12165	101	100	(	(	PUNCT
fumecheng-12165	101	101	12	12	NUM
fumecheng-12165	101	102	)	)	PUNCT
fumecheng-12165	101	103	the	the	DET
fumecheng-12165	101	104	generalized	generalize	VERB
fumecheng-12165	101	105	shape	shape	NOUN
fumecheng-12165	101	106	function	function	NOUN
fumecheng-12165	101	107	matrix	matrix	NOUN
fumecheng-12165	101	108	is	be	AUX
fumecheng-12165	101	109	obtained	obtain	VERB
fumecheng-12165	101	110	as	as	ADP
fumecheng-12165	101	111	a	a	DET
fumecheng-12165	101	112	column	column	NOUN
fumecheng-12165	101	113	matrix	matrix	NOUN
fumecheng-12165	102	1	[	[	X
fumecheng-12165	102	2	13	13	NUM
fumecheng-12165	102	3	]	]	SYM
fumecheng-12165	102	4	:	:	PUNCT
fumecheng-12165	102	5	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	102	6	=	=	PUNCT
fumecheng-12165	102	7	[	[	PUNCT
fumecheng-12165	102	8	1	1	NUM
fumecheng-12165	102	9	−	−	NUM
fumecheng-12165	102	10	3𝑠2	3𝑠2	NUM
fumecheng-12165	102	11	+	+	NOUN
fumecheng-12165	102	12	2𝑠3	2𝑠3	NUM
fumecheng-12165	102	13	𝑥	𝑥	PRON
fumecheng-12165	102	14	−	−	NUM
fumecheng-12165	102	15	2𝑥2	2𝑥2	NUM
fumecheng-12165	102	16	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	102	17	+	+	CCONJ
fumecheng-12165	102	18	𝑥3	𝑥3	NOUN
fumecheng-12165	102	19	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	102	20	2	2	NUM
fumecheng-12165	102	21	0	0	NUM
fumecheng-12165	102	22	0	0	NUM
fumecheng-12165	102	23	3𝑠2	3𝑠2	NUM
fumecheng-12165	102	24	−	−	PROPN
fumecheng-12165	102	25	2𝑠3	2𝑠3	NUM
fumecheng-12165	102	26	𝑥3	𝑥3	NOUN
fumecheng-12165	102	27	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	102	28	2	2	NUM
fumecheng-12165	102	29	−	−	NOUN
fumecheng-12165	102	30	𝑥2	𝑥2	NOUN
fumecheng-12165	102	31	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	102	32	0	0	NUM
fumecheng-12165	102	33	0	0	NUM
fumecheng-12165	102	34	]	]	PUNCT
fumecheng-12165	102	35	𝑇	𝑇	PROPN
fumecheng-12165	102	36	,	,	PUNCT
fumecheng-12165	102	37	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	102	38	′	′	NUM
fumecheng-12165	103	1	=	=	PUNCT
fumecheng-12165	104	1	[	[	PUNCT
fumecheng-12165	104	2	6	6	NUM
fumecheng-12165	104	3	(	(	PUNCT
fumecheng-12165	104	4	𝑥2	𝑥2	NOUN
fumecheng-12165	104	5	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	104	6	3	3	NUM
fumecheng-12165	104	7	−	−	NOUN
fumecheng-12165	105	1	𝑥	𝑥	PRON
fumecheng-12165	106	1	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	107	1	2	2	NUM
fumecheng-12165	107	2	)	)	PUNCT
fumecheng-12165	108	1	1	1	NUM
fumecheng-12165	108	2	−	−	NOUN
fumecheng-12165	108	3	4𝑠	4𝑠	NOUN
fumecheng-12165	108	4	+	+	CCONJ
fumecheng-12165	108	5	3𝑠2	3𝑠2	NUM
fumecheng-12165	108	6	0	0	SYM
fumecheng-12165	108	7	0	0	NUM
fumecheng-12165	109	1	−6	−6	NOUN
fumecheng-12165	110	1	(	(	PUNCT
fumecheng-12165	110	2	𝑥2	𝑥2	NOUN
fumecheng-12165	110	3	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	110	4	3	3	NUM
fumecheng-12165	110	5	−	−	NOUN
fumecheng-12165	111	1	𝑥	𝑥	PRON
fumecheng-12165	112	1	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	112	2	2	2	NUM
fumecheng-12165	112	3	)	)	PUNCT
fumecheng-12165	112	4	−2𝑠	−2𝑠	PROPN
fumecheng-12165	113	1	+	+	PUNCT
fumecheng-12165	113	2	3𝑠2	3𝑠2	NUM
fumecheng-12165	113	3	0	0	NUM
fumecheng-12165	113	4	0	0	NUM
fumecheng-12165	113	5	]	]	PUNCT
fumecheng-12165	113	6	𝑇	𝑇	PROPN
fumecheng-12165	113	7	,	,	PUNCT
fumecheng-12165	113	8	𝑁1	𝑁1	X
fumecheng-12165	113	9	=	=	PUNCT
fumecheng-12165	114	1	[	[	PUNCT
fumecheng-12165	114	2	0	0	NUM
fumecheng-12165	114	3	0	0	NUM
fumecheng-12165	114	4	1	1	NUM
fumecheng-12165	114	5	−	−	NOUN
fumecheng-12165	114	6	𝑠	𝑠	NUM
fumecheng-12165	114	7	0	0	NUM
fumecheng-12165	114	8	0	0	NUM
fumecheng-12165	114	9	0	0	NUM
fumecheng-12165	114	10	𝑠	𝑠	NOUN
fumecheng-12165	114	11	0	0	NUM
fumecheng-12165	114	12	]	]	PUNCT
fumecheng-12165	114	13	𝑇	𝑇	PROPN
fumecheng-12165	114	14	,	,	PUNCT
fumecheng-12165	114	15	𝑁2	𝑁2	NOUN
fumecheng-12165	114	16	=	=	PUNCT
fumecheng-12165	114	17	[	[	PUNCT
fumecheng-12165	114	18	0	0	NUM
fumecheng-12165	114	19	0	0	NUM
fumecheng-12165	114	20	0	0	NUM
fumecheng-12165	114	21	1	1	NUM
fumecheng-12165	114	22	−	−	NOUN
fumecheng-12165	114	23	𝑠	𝑠	NUM
fumecheng-12165	114	24	0	0	NUM
fumecheng-12165	114	25	0	0	NUM
fumecheng-12165	114	26	0	0	NUM
fumecheng-12165	115	1	𝑠	𝑠	X
fumecheng-12165	115	2	]	]	X
fumecheng-12165	115	3	𝑇	𝑇	PROPN
fumecheng-12165	115	4	the	the	DET
fumecheng-12165	115	5	displacements	displacement	NOUN
fumecheng-12165	115	6	filed	file	VERB
fumecheng-12165	115	7	within	within	ADP
fumecheng-12165	115	8	the	the	DET
fumecheng-12165	115	9	element	element	NOUN
fumecheng-12165	115	10	could	could	AUX
fumecheng-12165	115	11	be	be	AUX
fumecheng-12165	115	12	then	then	ADV
fumecheng-12165	115	13	determined	determine	VERB
fumecheng-12165	115	14	by	by	ADP
fumecheng-12165	115	15	the	the	DET
fumecheng-12165	115	16	nodal	nodal	ADJ
fumecheng-12165	115	17	displacement	displacement	NOUN
fumecheng-12165	115	18	of	of	ADP
fumecheng-12165	115	19	element	element	NOUN
fumecheng-12165	115	20	through	through	ADP
fumecheng-12165	115	21	shape	shape	NOUN
fumecheng-12165	115	22	functions	function	NOUN
fumecheng-12165	115	23	interpolation	interpolation	NOUN
fumecheng-12165	115	24	:	:	PUNCT
fumecheng-12165	115	25	𝑤	𝑤	X
fumecheng-12165	115	26	=	=	SYM
fumecheng-12165	115	27	𝑁𝑥𝑑	𝑁𝑥𝑑	PROPN
fumecheng-12165	115	28	𝑒	𝑒	PART
fumecheng-12165	115	29	,	,	PUNCT
fumecheng-12165	115	30	𝜃	𝜃	NOUN
fumecheng-12165	115	31	=	=	SYM
fumecheng-12165	115	32	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	115	33	′𝑑𝑒	′𝑑𝑒	NOUN
fumecheng-12165	115	34	,	,	PUNCT
fumecheng-12165	115	35	𝑢𝑏	𝑢𝑏	ADP
fumecheng-12165	115	36	=	=	PUNCT
fumecheng-12165	115	37	𝑁1𝑑	𝑁1𝑑	NOUN
fumecheng-12165	115	38	𝑒	𝑒	VERB
fumecheng-12165	115	39	,	,	PUNCT
fumecheng-12165	115	40	𝑢𝑐	𝑢𝑐	VERB
fumecheng-12165	115	41	=	=	SYM
fumecheng-12165	115	42	𝑁2𝑑	𝑁2𝑑	PROPN
fumecheng-12165	115	43	𝑒	𝑒	PROPN
fumecheng-12165	115	44	,	,	PUNCT
fumecheng-12165	115	45	𝑢𝑣	𝑢𝑣	NOUN
fumecheng-12165	115	46	=	=	SYM
fumecheng-12165	115	47	𝑁3𝑑	𝑁3𝑑	PROPN
fumecheng-12165	115	48	𝑒	𝑒	PART
fumecheng-12165	115	49	,	,	PUNCT
fumecheng-12165	115	50	𝛾	𝛾	X
fumecheng-12165	115	51	=	=	PUNCT
fumecheng-12165	115	52	𝑁4𝑑	𝑁4𝑑	PROPN
fumecheng-12165	115	53	𝑒	𝑒	PROPN
fumecheng-12165	115	54	where	where	SCONJ
fumecheng-12165	115	55	𝑁3	𝑁3	PROPN
fumecheng-12165	115	56	and	and	CCONJ
fumecheng-12165	115	57	𝑁4	𝑁4	NOUN
fumecheng-12165	115	58	were	be	AUX
fumecheng-12165	115	59	derived	derive	VERB
fumecheng-12165	115	60	based	base	VERB
fumecheng-12165	115	61	on	on	ADP
fumecheng-12165	115	62	the	the	DET
fumecheng-12165	115	63	relative	relative	ADJ
fumecheng-12165	115	64	kinematics	kinematic	NOUN
fumecheng-12165	115	65	relations	relation	NOUN
fumecheng-12165	115	66	𝛾𝑥𝑧	𝛾𝑥𝑧	PROPN
fumecheng-12165	115	67	and	and	CCONJ
fumecheng-12165	115	68	𝑢𝑣	𝑢𝑣	PROPN
fumecheng-12165	115	69	in	in	ADP
fumecheng-12165	115	70	eqs	eqs	PROPN
fumecheng-12165	115	71	.	.	PUNCT
fumecheng-12165	116	1	(	(	PUNCT
fumecheng-12165	116	2	3	3	X
fumecheng-12165	116	3	)	)	PUNCT
fumecheng-12165	116	4	and	and	CCONJ
fumecheng-12165	116	5	(	(	PUNCT
fumecheng-12165	116	6	4	4	X
fumecheng-12165	116	7	)	)	PUNCT
fumecheng-12165	116	8	as	as	SCONJ
fumecheng-12165	116	9	follows	follow	VERB
fumecheng-12165	116	10	:	:	PUNCT
fumecheng-12165	116	11	𝑁3	𝑁3	PROPN
fumecheng-12165	116	12	=	=	NOUN
fumecheng-12165	116	13	1	1	NUM
fumecheng-12165	116	14	2	2	NUM
fumecheng-12165	116	15	[	[	X
fumecheng-12165	116	16	(	(	PUNCT
fumecheng-12165	116	17	𝑁1	𝑁1	PROPN
fumecheng-12165	116	18	+	+	NOUN
fumecheng-12165	116	19	𝑁2	𝑁2	NOUN
fumecheng-12165	116	20	)	)	PUNCT
fumecheng-12165	117	1	+	+	CCONJ
fumecheng-12165	117	2	(	(	PUNCT
fumecheng-12165	117	3	ℎ1+ℎ3	ℎ1+ℎ3	PROPN
fumecheng-12165	117	4	2	2	NUM
fumecheng-12165	117	5	)	)	PUNCT
fumecheng-12165	117	6	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	117	7	′	′	NUM
fumecheng-12165	117	8	]	]	X
fumecheng-12165	117	9	(	(	PUNCT
fumecheng-12165	117	10	13	13	NUM
fumecheng-12165	117	11	)	)	PUNCT
fumecheng-12165	117	12	𝑁4	𝑁4	NOUN
fumecheng-12165	117	13	=	=	SYM
fumecheng-12165	117	14	1	1	NUM
fumecheng-12165	117	15	𝐻−(ℎ1+ℎ2	𝐻−(ℎ1+ℎ2	PROPN
fumecheng-12165	117	16	)	)	PUNCT
fumecheng-12165	118	1	[	[	X
fumecheng-12165	118	2	(	(	PUNCT
fumecheng-12165	118	3	𝑁2	𝑁2	NOUN
fumecheng-12165	118	4	−	−	X
fumecheng-12165	118	5	𝑁1	𝑁1	PROPN
fumecheng-12165	118	6	)	)	PUNCT
fumecheng-12165	118	7	+	+	CCONJ
fumecheng-12165	118	8	(	(	PUNCT
fumecheng-12165	118	9	ℎ1+ℎ3	ℎ1+ℎ3	PROPN
fumecheng-12165	118	10	2	2	NUM
fumecheng-12165	118	11	+	+	CCONJ
fumecheng-12165	118	12	(	(	PUNCT
fumecheng-12165	118	13	𝐻	𝐻	PROPN
fumecheng-12165	118	14	−	−	PROPN
fumecheng-12165	118	15	(	(	PUNCT
fumecheng-12165	118	16	ℎ1+ℎ2))𝑁𝑥	ℎ1+ℎ2))𝑁𝑥	NOUN
fumecheng-12165	118	17	′	′	NOUN
fumecheng-12165	118	18	]	]	X
fumecheng-12165	118	19	(	(	PUNCT
fumecheng-12165	118	20	14	14	NUM
fumecheng-12165	118	21	)	)	PUNCT
fumecheng-12165	118	22	3.2	3.2	NUM
fumecheng-12165	118	23	.	.	PUNCT
fumecheng-12165	119	1	element	element	ADJ
fumecheng-12165	119	2	stiffness	stiffness	NOUN
fumecheng-12165	119	3	matrix	matrix	NOUN
fumecheng-12165	119	4	the	the	DET
fumecheng-12165	119	5	principle	principle	NOUN
fumecheng-12165	119	6	of	of	ADP
fumecheng-12165	119	7	strain	strain	ADJ
fumecheng-12165	119	8	energy	energy	NOUN
fumecheng-12165	119	9	can	can	AUX
fumecheng-12165	119	10	be	be	AUX
fumecheng-12165	119	11	applied	apply	VERB
fumecheng-12165	119	12	to	to	PART
fumecheng-12165	119	13	obtain	obtain	VERB
fumecheng-12165	119	14	element	element	ADJ
fumecheng-12165	119	15	stiffness	stiffness	NOUN
fumecheng-12165	119	16	matrix	matrix	NOUN
fumecheng-12165	119	17	of	of	ADP
fumecheng-12165	119	18	ve	ve	VERB
fumecheng-12165	119	19	sandwich	sandwich	NOUN
fumecheng-12165	119	20	beam	beam	NOUN
fumecheng-12165	119	21	.	.	PUNCT
fumecheng-12165	120	1	in	in	ADP
fumecheng-12165	120	2	general	general	ADJ
fumecheng-12165	120	3	,	,	PUNCT
fumecheng-12165	120	4	the	the	DET
fumecheng-12165	120	5	elastic	elastic	ADJ
fumecheng-12165	120	6	strain	strain	NOUN
fumecheng-12165	120	7	energy	energy	NOUN
fumecheng-12165	120	8	is	be	AUX
fumecheng-12165	120	9	expressed	express	VERB
fumecheng-12165	120	10	as	as	ADP
fumecheng-12165	120	11	:	:	PUNCT
fumecheng-12165	120	12	𝑈	𝑈	PROPN
fumecheng-12165	120	13	=	=	PUNCT
fumecheng-12165	120	14	∫	∫	PROPN
fumecheng-12165	120	15	𝜎2	𝜎2	NOUN
fumecheng-12165	120	16	2𝐸	2𝐸	PROPN
fumecheng-12165	120	17	𝑉	𝑉	PROPN
fumecheng-12165	120	18	𝑑𝑉	𝑑𝑉	ADP
fumecheng-12165	120	19	(	(	PUNCT
fumecheng-12165	120	20	15	15	NUM
fumecheng-12165	120	21	)	)	PUNCT
fumecheng-12165	120	22	3.2.1	3.2.1	NUM
fumecheng-12165	120	23	.	.	PUNCT
fumecheng-12165	121	1	strain	strain	VERB
fumecheng-12165	121	2	energy	energy	NOUN
fumecheng-12165	121	3	due	due	ADP
fumecheng-12165	121	4	to	to	ADP
fumecheng-12165	121	5	axial	axial	ADJ
fumecheng-12165	121	6	loading	loading	NOUN
fumecheng-12165	121	7	based	base	VERB
fumecheng-12165	121	8	on	on	ADP
fumecheng-12165	121	9	eq	eq	PROPN
fumecheng-12165	121	10	.	.	PUNCT
fumecheng-12165	122	1	(	(	PUNCT
fumecheng-12165	122	2	15	15	NUM
fumecheng-12165	122	3	)	)	PUNCT
fumecheng-12165	122	4	,	,	PUNCT
fumecheng-12165	122	5	the	the	DET
fumecheng-12165	122	6	strain	strain	NOUN
fumecheng-12165	122	7	energy	energy	NOUN
fumecheng-12165	122	8	due	due	ADP
fumecheng-12165	122	9	to	to	ADP
fumecheng-12165	122	10	axial	axial	ADJ
fumecheng-12165	122	11	loading	loading	NOUN
fumecheng-12165	122	12	of	of	ADP
fumecheng-12165	122	13	elastic	elastic	ADJ
fumecheng-12165	122	14	layer	layer	NOUN
fumecheng-12165	122	15	𝑈𝑎	𝑈𝑎	PROPN
fumecheng-12165	122	16	is	be	AUX
fumecheng-12165	122	17	:	:	PUNCT
fumecheng-12165	122	18	𝑈𝑎	𝑈𝑎	NOUN
fumecheng-12165	122	19	=	=	SYM
fumecheng-12165	122	20	𝐸𝐴	𝐸𝐴	PROPN
fumecheng-12165	122	21	2	2	NUM
fumecheng-12165	122	22	∫	∫	NOUN
fumecheng-12165	122	23	휀2𝑑𝑥	휀2𝑑𝑥	X
fumecheng-12165	122	24	(	(	PUNCT
fumecheng-12165	122	25	16	16	NUM
fumecheng-12165	122	26	)	)	PUNCT
fumecheng-12165	122	27	597	597	NUM
fumecheng-12165	122	28	dynamics	dynamic	NOUN
fumecheng-12165	122	29	analysis	analysis	NOUN
fumecheng-12165	122	30	of	of	ADP
fumecheng-12165	122	31	viscoelastic	viscoelastic	NOUN
fumecheng-12165	122	32	sandwiched	sandwich	VERB
fumecheng-12165	122	33	structures	structure	NOUN
fumecheng-12165	122	34	integrated	integrate	VERB
fumecheng-12165	122	35	with	with	ADP
fumecheng-12165	122	36	aluminum	aluminum	NOUN
fumecheng-12165	122	37	sheets	sheet	NOUN
fumecheng-12165	122	38	the	the	DET
fumecheng-12165	122	39	definition	definition	NOUN
fumecheng-12165	122	40	of	of	ADP
fumecheng-12165	122	41	axial	axial	ADJ
fumecheng-12165	122	42	strain	strain	NOUN
fumecheng-12165	122	43	was	be	AUX
fumecheng-12165	122	44	defined	define	VERB
fumecheng-12165	122	45	as	as	ADP
fumecheng-12165	122	46	the	the	DET
fumecheng-12165	122	47	rate	rate	NOUN
fumecheng-12165	122	48	change	change	NOUN
fumecheng-12165	122	49	of	of	ADP
fumecheng-12165	122	50	the	the	DET
fumecheng-12165	122	51	displacement	displacement	NOUN
fumecheng-12165	122	52	:	:	PUNCT
fumecheng-12165	122	53	휀	휀	X
fumecheng-12165	122	54	=	=	SYM
fumecheng-12165	122	55	𝜕𝑢	𝜕𝑢	NOUN
fumecheng-12165	122	56	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	122	57	(	(	PUNCT
fumecheng-12165	122	58	17	17	NUM
fumecheng-12165	122	59	)	)	PUNCT
fumecheng-12165	122	60	substituting	substitute	VERB
fumecheng-12165	122	61	eq	eq	ADP
fumecheng-12165	122	62	.	.	PUNCT
fumecheng-12165	123	1	(	(	PUNCT
fumecheng-12165	123	2	17	17	NUM
fumecheng-12165	123	3	)	)	PUNCT
fumecheng-12165	123	4	into	into	ADP
fumecheng-12165	123	5	eq	eq	NOUN
fumecheng-12165	123	6	.	.	PUNCT
fumecheng-12165	124	1	(	(	PUNCT
fumecheng-12165	124	2	16	16	NUM
fumecheng-12165	124	3	)	)	PUNCT
fumecheng-12165	124	4	yields	yield	NOUN
fumecheng-12165	124	5	[	[	PUNCT
fumecheng-12165	124	6	32	32	NUM
fumecheng-12165	124	7	]	]	PUNCT
fumecheng-12165	124	8	:	:	PUNCT
fumecheng-12165	125	1	𝑈𝑎	𝑈𝑎	NOUN
fumecheng-12165	125	2	=	=	SYM
fumecheng-12165	125	3	1	1	NUM
fumecheng-12165	125	4	2	2	NUM
fumecheng-12165	125	5	𝐸𝐴∫	𝐸𝐴∫	NOUN
fumecheng-12165	125	6	(	(	PUNCT
fumecheng-12165	125	7	𝜕𝑢	𝜕𝑢	NOUN
fumecheng-12165	125	8	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	125	9	)	)	PUNCT
fumecheng-12165	125	10	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	125	11	0	0	NUM
fumecheng-12165	125	12	2	2	NUM
fumecheng-12165	125	13	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	125	14	=	=	SYM
fumecheng-12165	125	15	1	1	NUM
fumecheng-12165	125	16	2	2	NUM
fumecheng-12165	125	17	𝑑𝑒𝑇𝐾𝑒𝑖	𝑑𝑒𝑇𝐾𝑒𝑖	PROPN
fumecheng-12165	125	18	𝑒	𝑒	PRON
fumecheng-12165	125	19	𝑑𝑒	𝑑𝑒	NOUN
fumecheng-12165	125	20	(	(	PUNCT
fumecheng-12165	125	21	18	18	NUM
fumecheng-12165	125	22	)	)	PUNCT
fumecheng-12165	125	23	𝑈𝑎𝑐	𝑈𝑎𝑐	PROPN
fumecheng-12165	125	24	=	=	NOUN
fumecheng-12165	125	25	1	1	NUM
fumecheng-12165	125	26	2	2	NUM
fumecheng-12165	125	27	𝐸𝑐𝐴𝑐	𝐸𝑐𝐴𝑐	PROPN
fumecheng-12165	125	28	∫	∫	PROPN
fumecheng-12165	125	29	(	(	PUNCT
fumecheng-12165	125	30	𝜕𝑢𝑐	𝜕𝑢𝑐	X
fumecheng-12165	125	31	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	125	32	)	)	PUNCT
fumecheng-12165	125	33	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	125	34	0	0	NUM
fumecheng-12165	125	35	2	2	NUM
fumecheng-12165	125	36	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	125	37	=	=	SYM
fumecheng-12165	125	38	1	1	NUM
fumecheng-12165	125	39	2	2	NUM
fumecheng-12165	125	40	𝑑𝑒	𝑑𝑒	NOUN
fumecheng-12165	125	41	𝑇	𝑇	PROPN
fumecheng-12165	125	42	𝐾𝑒𝑐	𝐾𝑒𝑐	PROPN
fumecheng-12165	125	43	𝑒	𝑒	PROPN
fumecheng-12165	125	44	𝑑𝑒	𝑑𝑒	NOUN
fumecheng-12165	125	45	(	(	PUNCT
fumecheng-12165	125	46	19	19	NUM
fumecheng-12165	125	47	)	)	PUNCT
fumecheng-12165	125	48	𝑈𝑎𝑏	𝑈𝑎𝑏	PROPN
fumecheng-12165	125	49	=	=	SYM
fumecheng-12165	125	50	1	1	NUM
fumecheng-12165	125	51	2	2	NUM
fumecheng-12165	125	52	𝐸𝑏𝐴𝑏	𝐸𝑏𝐴𝑏	PROPN
fumecheng-12165	125	53	∫	∫	NOUN
fumecheng-12165	125	54	(	(	PUNCT
fumecheng-12165	125	55	𝜕𝑢𝑏	𝜕𝑢𝑏	ADV
fumecheng-12165	125	56	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	125	57	)	)	PUNCT
fumecheng-12165	125	58	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	125	59	0	0	NUM
fumecheng-12165	125	60	2	2	NUM
fumecheng-12165	125	61	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	125	62	=	=	SYM
fumecheng-12165	125	63	1	1	NUM
fumecheng-12165	125	64	2	2	NUM
fumecheng-12165	125	65	𝑑𝑒	𝑑𝑒	ADP
fumecheng-12165	125	66	𝑇	𝑇	PROPN
fumecheng-12165	126	1	𝐾𝑒𝑏	𝐾𝑒𝑏	ADV
fumecheng-12165	126	2	𝑒	𝑒	PROPN
fumecheng-12165	126	3	𝑑𝑒	𝑑𝑒	INTJ
fumecheng-12165	126	4	(	(	PUNCT
fumecheng-12165	126	5	20	20	NUM
fumecheng-12165	126	6	)	)	PUNCT
fumecheng-12165	126	7	the	the	DET
fumecheng-12165	126	8	element	element	ADJ
fumecheng-12165	126	9	stiffness	stiffness	NOUN
fumecheng-12165	126	10	matrix	matrix	NOUN
fumecheng-12165	126	11	of	of	ADP
fumecheng-12165	126	12	base	base	NOUN
fumecheng-12165	126	13	and	and	CCONJ
fumecheng-12165	126	14	constraining	constrain	VERB
fumecheng-12165	126	15	layers	layer	NOUN
fumecheng-12165	126	16	,	,	PUNCT
fumecheng-12165	126	17	corresponding	correspond	VERB
fumecheng-12165	126	18	to	to	ADP
fumecheng-12165	126	19	axial	axial	ADJ
fumecheng-12165	126	20	strain	strain	NOUN
fumecheng-12165	126	21	energy	energy	NOUN
fumecheng-12165	126	22	𝐾𝑎𝑏	𝐾𝑎𝑏	PROPN
fumecheng-12165	126	23	𝑒	𝑒	PROPN
fumecheng-12165	126	24	and	and	CCONJ
fumecheng-12165	126	25	𝐾𝑎𝑐	𝐾𝑎𝑐	PROPN
fumecheng-12165	126	26	𝑒	𝑒	PROPN
fumecheng-12165	126	27	,	,	PUNCT
fumecheng-12165	126	28	respectively	respectively	ADV
fumecheng-12165	126	29	can	can	AUX
fumecheng-12165	126	30	be	be	AUX
fumecheng-12165	126	31	expressed	express	VERB
fumecheng-12165	126	32	as	as	ADP
fumecheng-12165	126	33	:	:	PUNCT
fumecheng-12165	126	34	𝐾𝑎𝑏	𝐾𝑎𝑏	PROPN
fumecheng-12165	126	35	𝑒	𝑒	PROPN
fumecheng-12165	126	36	=	=	PRON
fumecheng-12165	126	37	𝐸𝑏𝐴𝑏	𝐸𝑏𝐴𝑏	PROPN
fumecheng-12165	126	38	∫	∫	NOUN
fumecheng-12165	126	39	[	[	PUNCT
fumecheng-12165	126	40	𝜕𝑁1	𝜕𝑁1	PROPN
fumecheng-12165	126	41	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	126	42	]	]	PUNCT
fumecheng-12165	126	43	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	126	44	0	0	NUM
fumecheng-12165	126	45	𝑇	𝑇	PROPN
fumecheng-12165	126	46	[	[	PUNCT
fumecheng-12165	126	47	𝜕𝑁1	𝜕𝑁1	PROPN
fumecheng-12165	126	48	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	126	49	]	]	PUNCT
fumecheng-12165	126	50	𝑑𝑥	𝑑𝑥	X
fumecheng-12165	126	51	(	(	PUNCT
fumecheng-12165	126	52	21	21	NUM
fumecheng-12165	126	53	)	)	PUNCT
fumecheng-12165	126	54	𝐾𝑎𝑐	𝐾𝑎𝑐	PROPN
fumecheng-12165	126	55	𝑒	𝑒	PROPN
fumecheng-12165	126	56	=	=	SYM
fumecheng-12165	126	57	𝐸𝑐𝐴𝑐	𝐸𝑐𝐴𝑐	PROPN
fumecheng-12165	126	58	∫	∫	PROPN
fumecheng-12165	126	59	[	[	PUNCT
fumecheng-12165	126	60	𝜕𝑁2	𝜕𝑁2	PROPN
fumecheng-12165	126	61	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	126	62	]	]	PUNCT
fumecheng-12165	126	63	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	126	64	0	0	NUM
fumecheng-12165	126	65	𝑇	𝑇	PROPN
fumecheng-12165	126	66	[	[	PUNCT
fumecheng-12165	126	67	𝜕𝑁2	𝜕𝑁2	NOUN
fumecheng-12165	126	68	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	126	69	]	]	PUNCT
fumecheng-12165	126	70	𝑑𝑥	𝑑𝑥	X
fumecheng-12165	126	71	(	(	PUNCT
fumecheng-12165	126	72	22	22	NUM
fumecheng-12165	126	73	)	)	PUNCT
fumecheng-12165	126	74	3.2.2	3.2.2	NUM
fumecheng-12165	126	75	.	.	PUNCT
fumecheng-12165	127	1	strain	strain	NOUN
fumecheng-12165	127	2	energy	energy	NOUN
fumecheng-12165	127	3	due	due	ADP
fumecheng-12165	127	4	to	to	ADP
fumecheng-12165	127	5	bending	bend	VERB
fumecheng-12165	127	6	loading	load	VERB
fumecheng-12165	127	7	the	the	DET
fumecheng-12165	127	8	elastic	elastic	ADJ
fumecheng-12165	127	9	strain	strain	NOUN
fumecheng-12165	127	10	energy	energy	NOUN
fumecheng-12165	127	11	due	due	ADP
fumecheng-12165	127	12	to	to	ADP
fumecheng-12165	127	13	flexural	flexural	ADJ
fumecheng-12165	127	14	bending	bending	NOUN
fumecheng-12165	127	15	in	in	ADP
fumecheng-12165	127	16	the	the	DET
fumecheng-12165	127	17	beam	beam	NOUN
fumecheng-12165	127	18	is	be	AUX
fumecheng-12165	127	19	given	give	VERB
fumecheng-12165	127	20	by	by	ADP
fumecheng-12165	127	21	:	:	PUNCT
fumecheng-12165	127	22	𝑈𝑏	𝑈𝑏	ADJ
fumecheng-12165	127	23	=	=	PUNCT
fumecheng-12165	127	24	∫	∫	PROPN
fumecheng-12165	127	25	𝑀2(𝑥	𝑀2(𝑥	PROPN
fumecheng-12165	127	26	)	)	PUNCT
fumecheng-12165	127	27	𝑦2	𝑦2	PROPN
fumecheng-12165	127	28	2𝐸𝐼2	2𝐸𝐼2	NUM
fumecheng-12165	127	29	𝑉	𝑉	PROPN
fumecheng-12165	127	30	𝑑𝑉	𝑑𝑉	ADP
fumecheng-12165	127	31	(	(	PUNCT
fumecheng-12165	127	32	23	23	NUM
fumecheng-12165	127	33	)	)	PUNCT
fumecheng-12165	127	34	the	the	DET
fumecheng-12165	127	35	flexural	flexural	ADJ
fumecheng-12165	127	36	bending	bending	NOUN
fumecheng-12165	127	37	of	of	ADP
fumecheng-12165	127	38	the	the	DET
fumecheng-12165	127	39	element	element	NOUN
fumecheng-12165	127	40	is	be	AUX
fumecheng-12165	127	41	given	give	VERB
fumecheng-12165	127	42	by	by	ADP
fumecheng-12165	127	43	:	:	PUNCT
fumecheng-12165	127	44	𝑀(𝑥	𝑀(𝑥	NUM
fumecheng-12165	127	45	)	)	PUNCT
fumecheng-12165	127	46	𝐸𝐼	𝐸𝐼	PROPN
fumecheng-12165	127	47	=	=	SYM
fumecheng-12165	128	1	𝜕2𝑤	𝜕2𝑤	PROPN
fumecheng-12165	128	2	𝜕𝑥2	𝜕𝑥2	PROPN
fumecheng-12165	128	3	(	(	PUNCT
fumecheng-12165	128	4	24	24	NUM
fumecheng-12165	128	5	)	)	PUNCT
fumecheng-12165	128	6	substituting	substitute	VERB
fumecheng-12165	128	7	eq	eq	NOUN
fumecheng-12165	128	8	.	.	PROPN
fumecheng-12165	128	9	24	24	NUM
fumecheng-12165	128	10	into	into	ADP
fumecheng-12165	128	11	eq	eq	NOUN
fumecheng-12165	128	12	.	.	PROPN
fumecheng-12165	128	13	23	23	NUM
fumecheng-12165	128	14	,	,	PUNCT
fumecheng-12165	128	15	the	the	DET
fumecheng-12165	128	16	bending	bend	VERB
fumecheng-12165	128	17	strain	strain	NOUN
fumecheng-12165	128	18	energy	energy	NOUN
fumecheng-12165	128	19	of	of	ADP
fumecheng-12165	128	20	elastic	elastic	ADJ
fumecheng-12165	128	21	layers	layer	NOUN
fumecheng-12165	128	22	is	be	AUX
fumecheng-12165	128	23	given	give	VERB
fumecheng-12165	128	24	as	as	ADP
fumecheng-12165	128	25	:	:	PUNCT
fumecheng-12165	128	26	𝑈𝑏	𝑈𝑏	ADJ
fumecheng-12165	128	27	=	=	NOUN
fumecheng-12165	128	28	𝐸	𝐸	PROPN
fumecheng-12165	128	29	2	2	NUM
fumecheng-12165	128	30	∬	∬	NOUN
fumecheng-12165	128	31	(	(	PUNCT
fumecheng-12165	128	32	𝜕2𝑤	𝜕2𝑤	ADP
fumecheng-12165	128	33	𝜕𝑥2	𝜕𝑥2	NOUN
fumecheng-12165	128	34	)	)	PUNCT
fumecheng-12165	128	35	2	2	NUM
fumecheng-12165	128	36	𝑦2𝑑𝐴	𝑦2𝑑𝐴	NOUN
fumecheng-12165	128	37	𝑑𝑥	𝑑𝑥	VERB
fumecheng-12165	128	38	(	(	PUNCT
fumecheng-12165	128	39	25	25	NUM
fumecheng-12165	128	40	)	)	PUNCT
fumecheng-12165	128	41	𝑈𝑏	𝑈𝑏	NOUN
fumecheng-12165	128	42	=	=	NOUN
fumecheng-12165	128	43	1	1	NUM
fumecheng-12165	128	44	2	2	NUM
fumecheng-12165	128	45	𝐸𝐼	𝐸𝐼	PROPN
fumecheng-12165	128	46	∫	∫	NOUN
fumecheng-12165	128	47	(	(	PUNCT
fumecheng-12165	128	48	𝜕2𝑤	𝜕2𝑤	ADP
fumecheng-12165	128	49	𝜕𝑥2	𝜕𝑥2	NOUN
fumecheng-12165	128	50	)	)	PUNCT
fumecheng-12165	128	51	2	2	NUM
fumecheng-12165	128	52	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	128	53	=	=	SYM
fumecheng-12165	128	54	1	1	NUM
fumecheng-12165	128	55	2	2	NUM
fumecheng-12165	128	56	𝑑𝑒𝑇𝐾𝑏	𝑑𝑒𝑇𝐾𝑏	X
fumecheng-12165	128	57	𝑒𝑑𝑒	𝑒𝑑𝑒	X
fumecheng-12165	128	58	(	(	PUNCT
fumecheng-12165	128	59	26	26	NUM
fumecheng-12165	128	60	)	)	PUNCT
fumecheng-12165	128	61	𝑈𝑏𝑐	𝑈𝑏𝑐	PROPN
fumecheng-12165	128	62	=	=	NOUN
fumecheng-12165	128	63	1	1	NUM
fumecheng-12165	128	64	2	2	NUM
fumecheng-12165	128	65	𝐸𝑐𝐼𝑐	𝐸𝑐𝐼𝑐	NOUN
fumecheng-12165	128	66	∫	∫	NOUN
fumecheng-12165	128	67	(	(	PUNCT
fumecheng-12165	128	68	(	(	PUNCT
fumecheng-12165	128	69	𝜕2𝑤	𝜕2𝑤	ADP
fumecheng-12165	128	70	𝜕𝑥2	𝜕𝑥2	NOUN
fumecheng-12165	128	71	)	)	PUNCT
fumecheng-12165	128	72	2	2	X
fumecheng-12165	128	73	)	)	PUNCT
fumecheng-12165	128	74	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	128	75	0	0	NUM
fumecheng-12165	128	76	2	2	NUM
fumecheng-12165	128	77	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	128	78	=	=	SYM
fumecheng-12165	128	79	1	1	NUM
fumecheng-12165	128	80	2	2	NUM
fumecheng-12165	128	81	𝑑𝑒𝑇𝐾𝑏𝑐	𝑑𝑒𝑇𝐾𝑏𝑐	PROPN
fumecheng-12165	128	82	𝑒	𝑒	VERB
fumecheng-12165	128	83	𝑑𝑒	𝑑𝑒	NOUN
fumecheng-12165	128	84	(	(	PUNCT
fumecheng-12165	128	85	27	27	NUM
fumecheng-12165	128	86	)	)	PUNCT
fumecheng-12165	129	1	𝑈𝑏𝑏	𝑈𝑏𝑏	NOUN
fumecheng-12165	129	2	=	=	NOUN
fumecheng-12165	129	3	1	1	NUM
fumecheng-12165	129	4	2	2	NUM
fumecheng-12165	129	5	𝐸𝑏𝐼𝑏	𝐸𝑏𝐼𝑏	NOUN
fumecheng-12165	129	6	∫	∫	PROPN
fumecheng-12165	129	7	(	(	PUNCT
fumecheng-12165	129	8	(	(	PUNCT
fumecheng-12165	129	9	𝜕2𝑤	𝜕2𝑤	ADP
fumecheng-12165	129	10	𝜕𝑥2	𝜕𝑥2	NOUN
fumecheng-12165	129	11	)	)	PUNCT
fumecheng-12165	129	12	2	2	X
fumecheng-12165	129	13	)	)	PUNCT
fumecheng-12165	129	14	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	129	15	0	0	NUM
fumecheng-12165	129	16	2	2	NUM
fumecheng-12165	129	17	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	129	18	=	=	SYM
fumecheng-12165	129	19	1	1	NUM
fumecheng-12165	129	20	2	2	NUM
fumecheng-12165	130	1	𝑑𝑒𝑇𝐾𝑏𝑏	𝑑𝑒𝑇𝐾𝑏𝑏	ADV
fumecheng-12165	130	2	𝑒	𝑒	PROPN
fumecheng-12165	130	3	𝑑𝑒	𝑑𝑒	INTJ
fumecheng-12165	130	4	(	(	PUNCT
fumecheng-12165	130	5	28	28	NUM
fumecheng-12165	130	6	)	)	PUNCT
fumecheng-12165	130	7	the	the	DET
fumecheng-12165	130	8	element	element	ADJ
fumecheng-12165	130	9	stiffness	stiffness	NOUN
fumecheng-12165	130	10	matrix	matrix	NOUN
fumecheng-12165	130	11	of	of	ADP
fumecheng-12165	130	12	constraining	constrain	VERB
fumecheng-12165	130	13	and	and	CCONJ
fumecheng-12165	130	14	base	base	ADJ
fumecheng-12165	130	15	layers	layer	NOUN
fumecheng-12165	130	16	,	,	PUNCT
fumecheng-12165	130	17	corresponding	correspond	VERB
fumecheng-12165	130	18	to	to	ADP
fumecheng-12165	130	19	bending	bend	VERB
fumecheng-12165	130	20	strain	strain	NOUN
fumecheng-12165	130	21	energy	energy	NOUN
fumecheng-12165	130	22	𝐾𝑏𝑐	𝐾𝑏𝑐	PROPN
fumecheng-12165	130	23	𝑒	𝑒	PROPN
fumecheng-12165	130	24	and	and	CCONJ
fumecheng-12165	130	25	𝐾𝑏𝑏	𝐾𝑏𝑏	PROPN
fumecheng-12165	130	26	𝑒	𝑒	PART
fumecheng-12165	130	27	,	,	PUNCT
fumecheng-12165	130	28	respectively	respectively	ADV
fumecheng-12165	130	29	can	can	AUX
fumecheng-12165	130	30	then	then	ADV
fumecheng-12165	130	31	be	be	AUX
fumecheng-12165	130	32	expressed	express	VERB
fumecheng-12165	130	33	as	as	ADP
fumecheng-12165	130	34	:	:	PUNCT
fumecheng-12165	130	35	𝐾𝑏𝑏	𝐾𝑏𝑏	PROPN
fumecheng-12165	130	36	𝑒	𝑒	PROPN
fumecheng-12165	130	37	=	=	PUNCT
fumecheng-12165	130	38	𝐸𝑏𝐼𝑏	𝐸𝑏𝐼𝑏	PROPN
fumecheng-12165	130	39	∫	∫	PROPN
fumecheng-12165	130	40	[	[	PUNCT
fumecheng-12165	130	41	𝜕𝑁𝑥	𝜕𝑁𝑥	NOUN
fumecheng-12165	130	42	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	130	43	]	]	PUNCT
fumecheng-12165	130	44	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	130	45	0	0	NUM
fumecheng-12165	130	46	𝑇	𝑇	PROPN
fumecheng-12165	130	47	[	[	PUNCT
fumecheng-12165	130	48	𝜕𝑁𝑥	𝜕𝑁𝑥	NOUN
fumecheng-12165	130	49	𝜕𝑥	𝜕𝑥	X
fumecheng-12165	130	50	]	]	PUNCT
fumecheng-12165	130	51	𝑑𝑥	𝑑𝑥	X
fumecheng-12165	130	52	(	(	PUNCT
fumecheng-12165	130	53	29	29	NUM
fumecheng-12165	130	54	)	)	PUNCT
fumecheng-12165	131	1	𝐾𝑏𝑐	𝐾𝑏𝑐	VERB
fumecheng-12165	131	2	𝑒	𝑒	PART
fumecheng-12165	131	3	=	=	PUNCT
fumecheng-12165	131	4	𝐸𝑐𝐼𝑐	𝐸𝑐𝐼𝑐	PROPN
fumecheng-12165	131	5	∫	∫	PROPN
fumecheng-12165	131	6	[	[	PUNCT
fumecheng-12165	131	7	𝜕𝑁2	𝜕𝑁2	PROPN
fumecheng-12165	131	8	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	131	9	]	]	PUNCT
fumecheng-12165	131	10	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	131	11	0	0	NUM
fumecheng-12165	131	12	𝑇	𝑇	PROPN
fumecheng-12165	131	13	[	[	PUNCT
fumecheng-12165	131	14	𝜕𝑁2	𝜕𝑁2	NOUN
fumecheng-12165	131	15	𝜕𝑥	𝜕𝑥	NOUN
fumecheng-12165	131	16	]	]	PUNCT
fumecheng-12165	131	17	𝑑𝑥	𝑑𝑥	X
fumecheng-12165	131	18	(	(	PUNCT
fumecheng-12165	131	19	30	30	NUM
fumecheng-12165	131	20	)	)	PUNCT
fumecheng-12165	131	21	598	598	NUM
fumecheng-12165	131	22	y.	y.	PROPN
fumecheng-12165	131	23	elmoghazy	elmoghazy	PROPN
fumecheng-12165	131	24	,	,	PUNCT
fumecheng-12165	131	25	b.	b.	PROPN
fumecheng-12165	131	26	safaei	safaei	PROPN
fumecheng-12165	131	27	,	,	PUNCT
fumecheng-12165	131	28	s.	s.	PROPN
fumecheng-12165	131	29	sahmani	sahmani	PROPN
fumecheng-12165	131	30	3.2.3	3.2.3	PROPN
fumecheng-12165	131	31	.	.	PUNCT
fumecheng-12165	131	32	strain	strain	NOUN
fumecheng-12165	131	33	energy	energy	NOUN
fumecheng-12165	131	34	due	due	ADP
fumecheng-12165	131	35	to	to	ADP
fumecheng-12165	131	36	shear	shear	NOUN
fumecheng-12165	131	37	loading	loading	NOUN
fumecheng-12165	131	38	strain	strain	NOUN
fumecheng-12165	131	39	energy	energy	NOUN
fumecheng-12165	131	40	due	due	ADP
fumecheng-12165	131	41	to	to	ADP
fumecheng-12165	131	42	shear	shear	NOUN
fumecheng-12165	131	43	loading	loading	NOUN
fumecheng-12165	131	44	can	can	AUX
fumecheng-12165	131	45	be	be	AUX
fumecheng-12165	131	46	derived	derive	VERB
fumecheng-12165	131	47	as	as	ADP
fumecheng-12165	131	48	𝑈𝑠ℎ𝑒𝑎𝑟	𝑈𝑠ℎ𝑒𝑎𝑟	PROPN
fumecheng-12165	131	49	=	=	PUNCT
fumecheng-12165	131	50	∫	∫	PROPN
fumecheng-12165	131	51	𝜏2	𝜏2	PROPN
fumecheng-12165	131	52	2𝐺	2𝐺	PROPN
fumecheng-12165	131	53	𝑑𝑣	𝑑𝑣	PROPN
fumecheng-12165	131	54	=	=	NOUN
fumecheng-12165	131	55	𝐺𝛾2	𝐺𝛾2	X
fumecheng-12165	131	56	2	2	NUM
fumecheng-12165	131	57	∫𝑑𝑣	∫𝑑𝑣	NOUN
fumecheng-12165	131	58	(	(	PUNCT
fumecheng-12165	131	59	31	31	NUM
fumecheng-12165	131	60	)	)	PUNCT
fumecheng-12165	131	61	𝑈𝑠ℎ𝑒𝑎𝑟	𝑈𝑠ℎ𝑒𝑎𝑟	NOUN
fumecheng-12165	131	62	=	=	PUNCT
fumecheng-12165	131	63	𝐺∗𝛾2	𝐺∗𝛾2	NOUN
fumecheng-12165	131	64	2	2	NUM
fumecheng-12165	131	65	∬𝑑𝐴	∬𝑑𝐴	ADV
fumecheng-12165	131	66	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	131	67	(	(	PUNCT
fumecheng-12165	131	68	32	32	NUM
fumecheng-12165	131	69	)	)	PUNCT
fumecheng-12165	131	70	𝑈𝑠ℎ𝑒𝑎𝑟	𝑈𝑠ℎ𝑒𝑎𝑟	NOUN
fumecheng-12165	131	71	=	=	NOUN
fumecheng-12165	131	72	1	1	NUM
fumecheng-12165	131	73	2	2	NUM
fumecheng-12165	131	74	𝐺∗𝐴𝑣	𝐺∗𝐴𝑣	X
fumecheng-12165	131	75	∫	∫	PROPN
fumecheng-12165	131	76	𝛾2	𝛾2	NOUN
fumecheng-12165	131	77	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	131	78	0	0	PUNCT
fumecheng-12165	131	79	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	131	80	=	=	SYM
fumecheng-12165	131	81	1	1	NUM
fumecheng-12165	131	82	2	2	NUM
fumecheng-12165	131	83	𝑑𝑒𝑇𝐾𝑠	𝑑𝑒𝑇𝐾𝑠	ADJ
fumecheng-12165	131	84	𝑒𝑑𝑒	𝑒𝑑𝑒	X
fumecheng-12165	131	85	(	(	PUNCT
fumecheng-12165	131	86	33	33	NUM
fumecheng-12165	131	87	)	)	PUNCT
fumecheng-12165	132	1	𝐾𝑠	𝐾𝑠	PROPN
fumecheng-12165	132	2	𝑒	𝑒	PROPN
fumecheng-12165	132	3	is	be	AUX
fumecheng-12165	132	4	the	the	DET
fumecheng-12165	132	5	shear	shear	NOUN
fumecheng-12165	132	6	element	element	ADJ
fumecheng-12165	132	7	stiffness	stiffness	NOUN
fumecheng-12165	132	8	matrix	matrix	NOUN
fumecheng-12165	132	9	associated	associate	VERB
fumecheng-12165	132	10	with	with	ADP
fumecheng-12165	132	11	shear	shear	NOUN
fumecheng-12165	132	12	strain	strain	NOUN
fumecheng-12165	132	13	energy	energy	NOUN
fumecheng-12165	132	14	such	such	ADJ
fumecheng-12165	132	15	that	that	SCONJ
fumecheng-12165	132	16	:	:	PUNCT
fumecheng-12165	132	17	𝐾𝑠	𝐾𝑠	PROPN
fumecheng-12165	132	18	𝑒	𝑒	ADP
fumecheng-12165	132	19	=	=	PUNCT
fumecheng-12165	132	20	𝐺∗𝐴𝑣	𝐺∗𝐴𝑣	PUNCT
fumecheng-12165	132	21	∫	∫	PROPN
fumecheng-12165	132	22	𝑁4	𝑁4	NOUN
fumecheng-12165	133	1	𝑇𝑙𝑒	𝑇𝑙𝑒	PROPN
fumecheng-12165	133	2	0	0	NUM
fumecheng-12165	133	3	𝑁4𝑑𝑥	𝑁4𝑑𝑥	PROPN
fumecheng-12165	133	4	(	(	PUNCT
fumecheng-12165	133	5	34	34	NUM
fumecheng-12165	133	6	)	)	PUNCT
fumecheng-12165	133	7	the	the	DET
fumecheng-12165	133	8	total	total	ADJ
fumecheng-12165	133	9	elastic	elastic	ADJ
fumecheng-12165	133	10	element	element	NOUN
fumecheng-12165	133	11	stiffness	stiffness	NOUN
fumecheng-12165	133	12	matrix	matrix	NOUN
fumecheng-12165	134	1	𝐾𝑒	𝐾𝑒	ADP
fumecheng-12165	134	2	𝑒	𝑒	PROPN
fumecheng-12165	134	3	can	can	AUX
fumecheng-12165	134	4	be	be	AUX
fumecheng-12165	134	5	expressed	express	VERB
fumecheng-12165	134	6	as	as	ADP
fumecheng-12165	134	7	:	:	PUNCT
fumecheng-12165	134	8	𝐾𝑒	𝐾𝑒	PROPN
fumecheng-12165	134	9	𝑒	𝑒	NOUN
fumecheng-12165	134	10	=	=	PUNCT
fumecheng-12165	135	1	𝐾𝑒𝑏	𝐾𝑒𝑏	ADV
fumecheng-12165	135	2	𝑒	𝑒	PROPN
fumecheng-12165	135	3	+	+	CCONJ
fumecheng-12165	135	4	𝐾𝑒𝑐	𝐾𝑒𝑐	VERB
fumecheng-12165	135	5	𝑒	𝑒	ADP
fumecheng-12165	135	6	+	+	CCONJ
fumecheng-12165	136	1	𝐾𝑏	𝐾𝑏	ADP
fumecheng-12165	136	2	𝑏	𝑏	PROPN
fumecheng-12165	136	3	𝑒	𝑒	PROPN
fumecheng-12165	136	4	+	+	CCONJ
fumecheng-12165	136	5	𝐾𝑏	𝐾𝑏	PROPN
fumecheng-12165	136	6	𝑐	𝑐	PROPN
fumecheng-12165	136	7	𝑒	𝑒	PROPN
fumecheng-12165	136	8	(	(	PUNCT
fumecheng-12165	136	9	35	35	NUM
fumecheng-12165	136	10	)	)	PUNCT
fumecheng-12165	136	11	the	the	DET
fumecheng-12165	136	12	element	element	ADJ
fumecheng-12165	136	13	stiffness	stiffness	NOUN
fumecheng-12165	136	14	matrix	matrix	NOUN
fumecheng-12165	136	15	then	then	ADV
fumecheng-12165	136	16	could	could	AUX
fumecheng-12165	136	17	be	be	AUX
fumecheng-12165	136	18	expressed	express	VERB
fumecheng-12165	136	19	as	as	ADP
fumecheng-12165	136	20	:	:	PUNCT
fumecheng-12165	136	21	𝐾𝑒⏟	𝐾𝑒⏟	PROPN
fumecheng-12165	136	22	⌊8×8⌋	⌊8×8⌋	PROPN
fumecheng-12165	136	23	=	=	PUNCT
fumecheng-12165	136	24	[	[	PUNCT
fumecheng-12165	137	1	[	[	X
fumecheng-12165	137	2	𝐾𝑒𝑏	𝐾𝑒𝑏	ADV
fumecheng-12165	137	3	𝑒	𝑒	ADV
fumecheng-12165	137	4	]	]	PUNCT
fumecheng-12165	138	1	[	[	X
fumecheng-12165	138	2	𝐾𝑏𝑏	𝐾𝑏𝑏	X
fumecheng-12165	138	3	𝑒	𝑒	X
fumecheng-12165	138	4	]	]	PUNCT
fumecheng-12165	139	1	[	[	X
fumecheng-12165	139	2	𝐾𝑏𝑐	𝐾𝑏𝑐	NOUN
fumecheng-12165	139	3	𝑒	𝑒	X
fumecheng-12165	139	4	]	]	PUNCT
fumecheng-12165	140	1	[	[	X
fumecheng-12165	140	2	𝐾𝑒𝑐	𝐾𝑒𝑐	VERB
fumecheng-12165	140	3	𝑒	𝑒	X
fumecheng-12165	140	4	]	]	PUNCT
fumecheng-12165	140	5	]	]	PUNCT
fumecheng-12165	140	6	+	+	CCONJ
fumecheng-12165	140	7	𝐾𝑠	𝐾𝑠	PROPN
fumecheng-12165	140	8	𝑒⏟	𝑒⏟	DET
fumecheng-12165	140	9	⌊8×8⌋	⌊8×8⌋	PROPN
fumecheng-12165	140	10	(	(	PUNCT
fumecheng-12165	140	11	36	36	NUM
fumecheng-12165	140	12	)	)	PUNCT
fumecheng-12165	140	13	where	where	SCONJ
fumecheng-12165	140	14	𝐾𝑒	𝐾𝑒	PROPN
fumecheng-12165	140	15	is	be	AUX
fumecheng-12165	140	16	the	the	DET
fumecheng-12165	140	17	total	total	ADJ
fumecheng-12165	140	18	element	element	NOUN
fumecheng-12165	140	19	stiffness	stiffness	NOUN
fumecheng-12165	140	20	matrix	matrix	NOUN
fumecheng-12165	140	21	obtained	obtain	VERB
fumecheng-12165	140	22	as	as	ADP
fumecheng-12165	140	23	the	the	DET
fumecheng-12165	140	24	summation	summation	NOUN
fumecheng-12165	140	25	of	of	ADP
fumecheng-12165	140	26	elastic	elastic	ADJ
fumecheng-12165	140	27	element	element	NOUN
fumecheng-12165	140	28	stiffness	stiffness	NOUN
fumecheng-12165	140	29	matrix	matrix	NOUN
fumecheng-12165	140	30	𝐾𝑒	𝐾𝑒	ADP
fumecheng-12165	140	31	𝑒	𝑒	ADJ
fumecheng-12165	140	32	and	and	CCONJ
fumecheng-12165	140	33	shear	shear	ADJ
fumecheng-12165	140	34	stiffness	stiffness	ADJ
fumecheng-12165	140	35	element	element	NOUN
fumecheng-12165	140	36	matrix	matrix	NOUN
fumecheng-12165	140	37	𝐾𝑠	𝐾𝑠	PROPN
fumecheng-12165	140	38	𝑒	𝑒	ADJ
fumecheng-12165	140	39	of	of	ADP
fumecheng-12165	140	40	ve	ve	NOUN
fumecheng-12165	140	41	sandwich	sandwich	NOUN
fumecheng-12165	140	42	beam	beam	NOUN
fumecheng-12165	140	43	.	.	PUNCT
fumecheng-12165	141	1	3.3	3.3	NUM
fumecheng-12165	141	2	.	.	PUNCT
fumecheng-12165	142	1	element	element	NOUN
fumecheng-12165	142	2	mass	mass	NOUN
fumecheng-12165	142	3	matrix	matrix	NOUN
fumecheng-12165	142	4	to	to	PART
fumecheng-12165	142	5	obtain	obtain	VERB
fumecheng-12165	142	6	the	the	DET
fumecheng-12165	142	7	element	element	ADJ
fumecheng-12165	142	8	mass	mass	NOUN
fumecheng-12165	142	9	matrix	matrix	NOUN
fumecheng-12165	142	10	,	,	PUNCT
fumecheng-12165	142	11	the	the	DET
fumecheng-12165	142	12	principle	principle	NOUN
fumecheng-12165	142	13	of	of	ADP
fumecheng-12165	142	14	kinetic	kinetic	ADJ
fumecheng-12165	142	15	energy	energy	NOUN
fumecheng-12165	142	16	is	be	AUX
fumecheng-12165	142	17	applied	apply	VERB
fumecheng-12165	142	18	.	.	PUNCT
fumecheng-12165	143	1	by	by	ADP
fumecheng-12165	143	2	considering	consider	VERB
fumecheng-12165	143	3	the	the	DET
fumecheng-12165	143	4	axial	axial	ADJ
fumecheng-12165	143	5	and	and	CCONJ
fumecheng-12165	143	6	rotational	rotational	ADJ
fumecheng-12165	143	7	loading	loading	NOUN
fumecheng-12165	143	8	associated	associate	VERB
fumecheng-12165	143	9	with	with	ADP
fumecheng-12165	143	10	kinetic	kinetic	ADJ
fumecheng-12165	143	11	energy	energy	NOUN
fumecheng-12165	143	12	,	,	PUNCT
fumecheng-12165	143	13	the	the	DET
fumecheng-12165	143	14	total	total	ADJ
fumecheng-12165	143	15	kinetic	kinetic	ADJ
fumecheng-12165	143	16	energy	energy	NOUN
fumecheng-12165	143	17	𝑇	𝑇	PROPN
fumecheng-12165	143	18	of	of	ADP
fumecheng-12165	143	19	ve	ve	VERB
fumecheng-12165	143	20	sandwich	sandwich	NOUN
fumecheng-12165	143	21	beam	beam	NOUN
fumecheng-12165	143	22	is	be	AUX
fumecheng-12165	143	23	evaluated	evaluate	VERB
fumecheng-12165	143	24	as	as	ADP
fumecheng-12165	143	25	:	:	PUNCT
fumecheng-12165	143	26	𝑇	𝑇	NOUN
fumecheng-12165	143	27	=	=	SYM
fumecheng-12165	143	28	1	1	NUM
fumecheng-12165	143	29	2	2	NUM
fumecheng-12165	143	30	(	(	PUNCT
fumecheng-12165	143	31	𝜌𝑐𝐴𝑐	𝜌𝑐𝐴𝑐	NOUN
fumecheng-12165	143	32	+	+	CCONJ
fumecheng-12165	143	33	𝜌𝑣𝐴𝑣	𝜌𝑣𝐴𝑣	PROPN
fumecheng-12165	143	34	+	+	CCONJ
fumecheng-12165	143	35	𝜌𝑏𝐴𝑏	𝜌𝑏𝐴𝑏	NOUN
fumecheng-12165	143	36	)	)	PUNCT
fumecheng-12165	143	37	∫	∫	PROPN
fumecheng-12165	143	38	�	�	PROPN
fumecheng-12165	143	39	̇	̇	PROPN
fumecheng-12165	143	40	�	�	PROPN
fumecheng-12165	143	41	2	2	NUM
fumecheng-12165	143	42	𝑑𝑥	𝑑𝑥	VERB
fumecheng-12165	143	43	+	+	ADJ
fumecheng-12165	143	44	1	1	NUM
fumecheng-12165	143	45	2	2	NUM
fumecheng-12165	143	46	(	(	PUNCT
fumecheng-12165	143	47	𝜌𝑐𝐴𝑐	𝜌𝑐𝐴𝑐	NOUN
fumecheng-12165	143	48	+	+	CCONJ
fumecheng-12165	143	49	𝜌𝑣𝐴𝑣	𝜌𝑣𝐴𝑣	PROPN
fumecheng-12165	143	50	+	+	CCONJ
fumecheng-12165	143	51	𝜌𝑏𝐴𝑏	𝜌𝑏𝐴𝑏	NOUN
fumecheng-12165	143	52	)	)	PUNCT
fumecheng-12165	143	53	∫	∫	PROPN
fumecheng-12165	143	54	�	�	PROPN
fumecheng-12165	143	55	̇	̇	PROPN
fumecheng-12165	143	56	�	�	PROPN
fumecheng-12165	143	57	2	2	NUM
fumecheng-12165	143	58	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	143	59	(	(	PUNCT
fumecheng-12165	143	60	37	37	NUM
fumecheng-12165	143	61	)	)	PUNCT
fumecheng-12165	143	62	the	the	DET
fumecheng-12165	143	63	kinetic	kinetic	ADJ
fumecheng-12165	143	64	energy	energy	NOUN
fumecheng-12165	143	65	corresponding	correspond	VERB
fumecheng-12165	143	66	to	to	ADP
fumecheng-12165	143	67	the	the	DET
fumecheng-12165	143	68	axial	axial	ADJ
fumecheng-12165	143	69	and	and	CCONJ
fumecheng-12165	143	70	bending	bend	VERB
fumecheng-12165	143	71	loading	loading	NOUN
fumecheng-12165	143	72	of	of	ADP
fumecheng-12165	143	73	each	each	DET
fumecheng-12165	143	74	layer	layer	NOUN
fumecheng-12165	143	75	is	be	AUX
fumecheng-12165	143	76	:	:	PUNCT
fumecheng-12165	144	1	𝑇𝑎𝑐	𝑇𝑎𝑐	PROPN
fumecheng-12165	144	2	=	=	NOUN
fumecheng-12165	144	3	1	1	NUM
fumecheng-12165	144	4	2	2	NUM
fumecheng-12165	144	5	𝜌𝑐𝐴𝑐	𝜌𝑐𝐴𝑐	NOUN
fumecheng-12165	144	6	∫	∫	PROPN
fumecheng-12165	144	7	(	(	PUNCT
fumecheng-12165	144	8	𝜕𝑢𝑐	𝜕𝑢𝑐	PROPN
fumecheng-12165	144	9	𝜕𝑡	𝜕𝑡	PROPN
fumecheng-12165	144	10	)	)	PUNCT
fumecheng-12165	144	11	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	144	12	0	0	NUM
fumecheng-12165	144	13	2	2	NUM
fumecheng-12165	144	14	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	144	15	=	=	SYM
fumecheng-12165	144	16	1	1	NUM
fumecheng-12165	144	17	2	2	NUM
fumecheng-12165	144	18	�	�	PROPN
fumecheng-12165	144	19	̇	̇	NOUN
fumecheng-12165	144	20	�	�	PROPN
fumecheng-12165	144	21	𝑒	𝑒	PROPN
fumecheng-12165	144	22	𝑇	𝑇	PROPN
fumecheng-12165	144	23	𝑀𝑒𝑐	𝑀𝑒𝑐	PROPN
fumecheng-12165	144	24	𝑒	𝑒	PROPN
fumecheng-12165	144	25	�	�	PROPN
fumecheng-12165	144	26	̇	̇	PROPN
fumecheng-12165	144	27	�	�	PROPN
fumecheng-12165	144	28	𝑒	𝑒	X
fumecheng-12165	144	29	(	(	PUNCT
fumecheng-12165	144	30	38	38	NUM
fumecheng-12165	144	31	)	)	PUNCT
fumecheng-12165	144	32	𝑇𝑏𝑐	𝑇𝑏𝑐	NOUN
fumecheng-12165	144	33	=	=	SYM
fumecheng-12165	144	34	1	1	NUM
fumecheng-12165	144	35	2	2	NUM
fumecheng-12165	144	36	𝜌𝑐𝐴𝑐	𝜌𝑐𝐴𝑐	NOUN
fumecheng-12165	144	37	∫	∫	PROPN
fumecheng-12165	144	38	(	(	PUNCT
fumecheng-12165	144	39	𝜕𝑤	𝜕𝑤	VERB
fumecheng-12165	144	40	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-12165	144	41	)	)	PUNCT
fumecheng-12165	144	42	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	144	43	0	0	NUM
fumecheng-12165	144	44	2	2	NUM
fumecheng-12165	144	45	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	144	46	=	=	SYM
fumecheng-12165	144	47	1	1	NUM
fumecheng-12165	144	48	2	2	NUM
fumecheng-12165	144	49	�	�	PROPN
fumecheng-12165	144	50	̇	̇	NOUN
fumecheng-12165	144	51	�	�	PROPN
fumecheng-12165	144	52	𝑒	𝑒	PROPN
fumecheng-12165	144	53	𝑇	𝑇	PROPN
fumecheng-12165	144	54	𝑀𝑏𝑐	𝑀𝑏𝑐	PROPN
fumecheng-12165	144	55	𝑒	𝑒	PROPN
fumecheng-12165	144	56	�	�	PROPN
fumecheng-12165	144	57	̇	̇	PROPN
fumecheng-12165	144	58	�	�	PROPN
fumecheng-12165	144	59	𝑒	𝑒	X
fumecheng-12165	144	60	(	(	PUNCT
fumecheng-12165	144	61	39	39	NUM
fumecheng-12165	144	62	)	)	PUNCT
fumecheng-12165	144	63	𝑇𝑎𝑏	𝑇𝑎𝑏	NOUN
fumecheng-12165	144	64	=	=	SYM
fumecheng-12165	144	65	1	1	NUM
fumecheng-12165	144	66	2	2	NUM
fumecheng-12165	144	67	𝜌𝑏𝐴𝑏	𝜌𝑏𝐴𝑏	NOUN
fumecheng-12165	144	68	∫	∫	NOUN
fumecheng-12165	144	69	(	(	PUNCT
fumecheng-12165	144	70	𝜕𝑢𝑏	𝜕𝑢𝑏	PUNCT
fumecheng-12165	144	71	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-12165	144	72	)	)	PUNCT
fumecheng-12165	144	73	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	144	74	0	0	NUM
fumecheng-12165	144	75	2	2	NUM
fumecheng-12165	144	76	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	144	77	=	=	SYM
fumecheng-12165	144	78	1	1	NUM
fumecheng-12165	144	79	2	2	NUM
fumecheng-12165	144	80	�	�	PROPN
fumecheng-12165	144	81	̇	̇	NOUN
fumecheng-12165	144	82	�	�	PROPN
fumecheng-12165	144	83	𝑒	𝑒	PROPN
fumecheng-12165	144	84	𝑇	𝑇	PROPN
fumecheng-12165	144	85	𝑀𝑒𝑏	𝑀𝑒𝑏	PROPN
fumecheng-12165	144	86	𝑒	𝑒	PROPN
fumecheng-12165	144	87	�	�	PROPN
fumecheng-12165	144	88	̇	̇	PROPN
fumecheng-12165	144	89	�	�	PROPN
fumecheng-12165	144	90	𝑒	𝑒	PART
fumecheng-12165	144	91	(	(	PUNCT
fumecheng-12165	144	92	40	40	NUM
fumecheng-12165	144	93	)	)	PUNCT
fumecheng-12165	144	94	𝑇𝑏𝑏	𝑇𝑏𝑏	NOUN
fumecheng-12165	144	95	=	=	SYM
fumecheng-12165	144	96	1	1	NUM
fumecheng-12165	144	97	2	2	NUM
fumecheng-12165	144	98	𝜌𝑏𝐴𝑏	𝜌𝑏𝐴𝑏	NOUN
fumecheng-12165	144	99	∫	∫	NOUN
fumecheng-12165	144	100	(	(	PUNCT
fumecheng-12165	144	101	𝜕𝑤	𝜕𝑤	VERB
fumecheng-12165	144	102	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-12165	144	103	)	)	PUNCT
fumecheng-12165	144	104	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	145	1	0	0	NUM
fumecheng-12165	145	2	2	2	NUM
fumecheng-12165	145	3	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	145	4	=	=	SYM
fumecheng-12165	145	5	1	1	NUM
fumecheng-12165	145	6	2	2	NUM
fumecheng-12165	145	7	�	�	PROPN
fumecheng-12165	145	8	̇	̇	NOUN
fumecheng-12165	145	9	�	�	PROPN
fumecheng-12165	146	1	𝑒	𝑒	PROPN
fumecheng-12165	146	2	𝑇	𝑇	PROPN
fumecheng-12165	146	3	𝑀𝑏𝑏	𝑀𝑏𝑏	PROPN
fumecheng-12165	146	4	𝑒	𝑒	PROPN
fumecheng-12165	146	5	�	�	PROPN
fumecheng-12165	146	6	̇	̇	PROPN
fumecheng-12165	146	7	�	�	PROPN
fumecheng-12165	146	8	𝑒	𝑒	X
fumecheng-12165	146	9	(	(	PUNCT
fumecheng-12165	146	10	41	41	NUM
fumecheng-12165	146	11	)	)	PUNCT
fumecheng-12165	147	1	𝑇𝑎𝑣	𝑇𝑎𝑣	VERB
fumecheng-12165	147	2	=	=	SYM
fumecheng-12165	147	3	1	1	NUM
fumecheng-12165	147	4	2	2	NUM
fumecheng-12165	147	5	𝜌𝑣𝐴𝑣	𝜌𝑣𝐴𝑣	PROPN
fumecheng-12165	147	6	∫	∫	PROPN
fumecheng-12165	147	7	(	(	PUNCT
fumecheng-12165	147	8	𝜕𝑢𝑣	𝜕𝑢𝑣	ADJ
fumecheng-12165	147	9	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-12165	147	10	)	)	PUNCT
fumecheng-12165	147	11	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	147	12	0	0	NUM
fumecheng-12165	147	13	2	2	NUM
fumecheng-12165	147	14	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	147	15	=	=	SYM
fumecheng-12165	147	16	1	1	NUM
fumecheng-12165	147	17	2	2	NUM
fumecheng-12165	147	18	�	�	PROPN
fumecheng-12165	147	19	̇	̇	NOUN
fumecheng-12165	147	20	�	�	PROPN
fumecheng-12165	147	21	𝑒	𝑒	PROPN
fumecheng-12165	147	22	𝑇	𝑇	PROPN
fumecheng-12165	147	23	𝑀𝑒𝑐	𝑀𝑒𝑐	PROPN
fumecheng-12165	147	24	𝑒	𝑒	PROPN
fumecheng-12165	147	25	�	�	PROPN
fumecheng-12165	147	26	̇	̇	PROPN
fumecheng-12165	147	27	�	�	PROPN
fumecheng-12165	147	28	𝑒	𝑒	X
fumecheng-12165	147	29	(	(	PUNCT
fumecheng-12165	147	30	42	42	NUM
fumecheng-12165	147	31	)	)	PUNCT
fumecheng-12165	148	1	𝑇𝑏𝑣	𝑇𝑏𝑣	NOUN
fumecheng-12165	148	2	=	=	SYM
fumecheng-12165	148	3	1	1	NUM
fumecheng-12165	148	4	2	2	NUM
fumecheng-12165	148	5	𝜌𝑣𝐴𝑣	𝜌𝑣𝐴𝑣	PROPN
fumecheng-12165	148	6	∫	∫	PROPN
fumecheng-12165	148	7	(	(	PUNCT
fumecheng-12165	148	8	𝜕𝑤	𝜕𝑤	VERB
fumecheng-12165	148	9	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-12165	148	10	)	)	PUNCT
fumecheng-12165	148	11	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	148	12	0	0	NUM
fumecheng-12165	148	13	2	2	NUM
fumecheng-12165	148	14	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	148	15	=	=	SYM
fumecheng-12165	148	16	1	1	NUM
fumecheng-12165	148	17	2	2	NUM
fumecheng-12165	148	18	�	�	PROPN
fumecheng-12165	148	19	̇	̇	NOUN
fumecheng-12165	148	20	�	�	PROPN
fumecheng-12165	149	1	𝑒	𝑒	PROPN
fumecheng-12165	149	2	𝑇	𝑇	PROPN
fumecheng-12165	149	3	𝑀𝑏𝑣	𝑀𝑏𝑣	PROPN
fumecheng-12165	149	4	𝑒	𝑒	PROPN
fumecheng-12165	149	5	�	�	PROPN
fumecheng-12165	149	6	̇	̇	NOUN
fumecheng-12165	149	7	�	�	PROPN
fumecheng-12165	149	8	𝑒	𝑒	X
fumecheng-12165	149	9	(	(	PUNCT
fumecheng-12165	149	10	43	43	NUM
fumecheng-12165	149	11	)	)	PUNCT
fumecheng-12165	149	12	where	where	SCONJ
fumecheng-12165	149	13	𝑇𝑎𝑐	𝑇𝑎𝑐	PROPN
fumecheng-12165	149	14	,	,	PUNCT
fumecheng-12165	149	15	𝑇𝑎𝑏and	𝑇𝑎𝑏and	PROPN
fumecheng-12165	149	16	𝑇𝑎𝑣	𝑇𝑎𝑣	PROPN
fumecheng-12165	149	17	are	be	AUX
fumecheng-12165	149	18	kinetic	kinetic	ADJ
fumecheng-12165	149	19	energies	energy	NOUN
fumecheng-12165	149	20	of	of	ADP
fumecheng-12165	149	21	the	the	DET
fumecheng-12165	149	22	constraining	constraining	ADJ
fumecheng-12165	149	23	,	,	PUNCT
fumecheng-12165	149	24	base	base	NOUN
fumecheng-12165	149	25	,	,	PUNCT
fumecheng-12165	149	26	and	and	CCONJ
fumecheng-12165	149	27	core	core	NOUN
fumecheng-12165	149	28	layers	layer	NOUN
fumecheng-12165	149	29	that	that	PRON
fumecheng-12165	149	30	correspond	correspond	VERB
fumecheng-12165	149	31	to	to	ADP
fumecheng-12165	149	32	axial	axial	ADJ
fumecheng-12165	149	33	loading	loading	NOUN
fumecheng-12165	149	34	,	,	PUNCT
fumecheng-12165	149	35	respectively	respectively	ADV
fumecheng-12165	149	36	.	.	PUNCT
fumecheng-12165	150	1	𝑇𝑏𝑐	𝑇𝑏𝑐	PROPN
fumecheng-12165	150	2	,	,	PUNCT
fumecheng-12165	150	3	𝑇𝑏𝑏	𝑇𝑏𝑏	PROPN
fumecheng-12165	150	4	and	and	CCONJ
fumecheng-12165	150	5	𝑇𝑏𝑣	𝑇𝑏𝑣	PROPN
fumecheng-12165	150	6	are	be	AUX
fumecheng-12165	150	7	kinetic	kinetic	ADJ
fumecheng-12165	150	8	energies	energy	NOUN
fumecheng-12165	150	9	of	of	ADP
fumecheng-12165	150	10	constraining	constrain	VERB
fumecheng-12165	150	11	,	,	PUNCT
fumecheng-12165	150	12	base	base	NOUN
fumecheng-12165	150	13	,	,	PUNCT
fumecheng-12165	150	14	and	and	CCONJ
fumecheng-12165	150	15	core	core	NOUN
fumecheng-12165	150	16	layers	layer	NOUN
fumecheng-12165	150	17	corresponding	correspond	VERB
fumecheng-12165	150	18	to	to	ADP
fumecheng-12165	150	19	bending	bend	VERB
fumecheng-12165	150	20	loading	loading	NOUN
fumecheng-12165	150	21	,	,	PUNCT
fumecheng-12165	150	22	respectively	respectively	ADV
fumecheng-12165	150	23	.	.	PUNCT
fumecheng-12165	151	1	599	599	NUM
fumecheng-12165	151	2	dynamics	dynamic	NOUN
fumecheng-12165	151	3	analysis	analysis	NOUN
fumecheng-12165	151	4	of	of	ADP
fumecheng-12165	151	5	viscoelastic	viscoelastic	NOUN
fumecheng-12165	151	6	sandwiched	sandwich	VERB
fumecheng-12165	151	7	structures	structure	NOUN
fumecheng-12165	151	8	integrated	integrate	VERB
fumecheng-12165	151	9	with	with	ADP
fumecheng-12165	151	10	aluminum	aluminum	NOUN
fumecheng-12165	151	11	sheets	sheet	NOUN
fumecheng-12165	151	12	the	the	DET
fumecheng-12165	151	13	element	element	NOUN
fumecheng-12165	151	14	mass	mass	NOUN
fumecheng-12165	151	15	matrices	matrix	NOUN
fumecheng-12165	151	16	associated	associate	VERB
fumecheng-12165	151	17	with	with	ADP
fumecheng-12165	151	18	elastic	elastic	ADJ
fumecheng-12165	151	19	layers	layer	NOUN
fumecheng-12165	151	20	and	and	CCONJ
fumecheng-12165	151	21	ve	ve	VERB
fumecheng-12165	151	22	core	core	NOUN
fumecheng-12165	151	23	layer	layer	NOUN
fumecheng-12165	151	24	corresponding	correspond	VERB
fumecheng-12165	151	25	to	to	ADP
fumecheng-12165	151	26	axial	axial	ADJ
fumecheng-12165	151	27	and	and	CCONJ
fumecheng-12165	151	28	bending	bend	VERB
fumecheng-12165	151	29	loading	load	VERB
fumecheng-12165	151	30	𝑀𝑎𝑐	𝑀𝑎𝑐	ADV
fumecheng-12165	151	31	𝑒	𝑒	NOUN
fumecheng-12165	151	32	,	,	PUNCT
fumecheng-12165	151	33	𝑀𝑏𝑐	𝑀𝑏𝑐	PROPN
fumecheng-12165	151	34	𝑒	𝑒	PROPN
fumecheng-12165	151	35	,	,	PUNCT
fumecheng-12165	151	36	𝑀𝑎𝑏	𝑀𝑎𝑏	PROPN
fumecheng-12165	151	37	𝑒	𝑒	ADV
fumecheng-12165	151	38	,	,	PUNCT
fumecheng-12165	151	39	𝑀𝑏𝑏	𝑀𝑏𝑏	PROPN
fumecheng-12165	151	40	𝑒	𝑒	PROPN
fumecheng-12165	151	41	,	,	PUNCT
fumecheng-12165	151	42	𝑀𝑎𝑣	𝑀𝑎𝑣	PROPN
fumecheng-12165	151	43	𝑒	𝑒	NOUN
fumecheng-12165	151	44	and	and	CCONJ
fumecheng-12165	151	45	𝑀𝑏𝑣	𝑀𝑏𝑣	PROPN
fumecheng-12165	151	46	𝑒	𝑒	NOUN
fumecheng-12165	151	47	are	be	AUX
fumecheng-12165	151	48	expressed	express	VERB
fumecheng-12165	151	49	using	use	VERB
fumecheng-12165	151	50	the	the	DET
fumecheng-12165	151	51	element	element	NOUN
fumecheng-12165	151	52	shape	shape	NOUN
fumecheng-12165	151	53	functions	function	NOUN
fumecheng-12165	151	54	as	as	ADP
fumecheng-12165	151	55	:	:	PUNCT
fumecheng-12165	151	56	𝑀𝑎𝑐	𝑀𝑎𝑐	NOUN
fumecheng-12165	151	57	𝑒	𝑒	NOUN
fumecheng-12165	151	58	=	=	PUNCT
fumecheng-12165	151	59	𝜌𝑐𝐴𝑐	𝜌𝑐𝐴𝑐	NOUN
fumecheng-12165	151	60	∫	∫	NOUN
fumecheng-12165	151	61	𝑁2	𝑁2	NOUN
fumecheng-12165	152	1	𝑇𝑙𝑒	𝑇𝑙𝑒	PROPN
fumecheng-12165	152	2	0	0	NUM
fumecheng-12165	152	3	𝑁2𝑑𝑥,𝑀𝑏𝑐	𝑁2𝑑𝑥,𝑀𝑏𝑐	PROPN
fumecheng-12165	152	4	𝑒	𝑒	PART
fumecheng-12165	152	5	=	=	PUNCT
fumecheng-12165	152	6	𝜌𝑐𝐴𝑐	𝜌𝑐𝐴𝑐	NOUN
fumecheng-12165	152	7	∫	∫	PROPN
fumecheng-12165	152	8	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	152	9	𝑇𝑁𝑥	𝑇𝑁𝑥	NOUN
fumecheng-12165	152	10	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	152	11	0	0	NUM
fumecheng-12165	152	12	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	152	13	(	(	PUNCT
fumecheng-12165	152	14	44	44	NUM
fumecheng-12165	152	15	)	)	PUNCT
fumecheng-12165	153	1	𝑀𝑎𝑏	𝑀𝑎𝑏	PROPN
fumecheng-12165	153	2	𝑒	𝑒	ADP
fumecheng-12165	153	3	=	=	PUNCT
fumecheng-12165	153	4	𝜌𝑏𝐴𝑏	𝜌𝑏𝐴𝑏	NOUN
fumecheng-12165	153	5	∫	∫	PROPN
fumecheng-12165	153	6	𝑁1	𝑁1	PROPN
fumecheng-12165	153	7	𝑇𝑁1	𝑇𝑁1	PROPN
fumecheng-12165	153	8	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	153	9	0	0	NUM
fumecheng-12165	153	10	𝑑𝑥,𝑀𝑏𝑏	𝑑𝑥,𝑀𝑏𝑏	PROPN
fumecheng-12165	153	11	𝑒	𝑒	PROPN
fumecheng-12165	153	12	=	=	SYM
fumecheng-12165	153	13	𝜌𝑏𝐴𝑏	𝜌𝑏𝐴𝑏	PRON
fumecheng-12165	154	1	∫	∫	PROPN
fumecheng-12165	154	2	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	154	3	𝑇𝑁𝑥	𝑇𝑁𝑥	NOUN
fumecheng-12165	154	4	𝑙𝑒	𝑙𝑒	NOUN
fumecheng-12165	154	5	0	0	NUM
fumecheng-12165	154	6	𝑑𝑥	𝑑𝑥	NOUN
fumecheng-12165	154	7	(	(	PUNCT
fumecheng-12165	154	8	45	45	NUM
fumecheng-12165	154	9	)	)	PUNCT
fumecheng-12165	154	10	𝑀𝑎𝑣	𝑀𝑎𝑣	PROPN
fumecheng-12165	154	11	𝑒	𝑒	PROPN
fumecheng-12165	154	12	=	=	VERB
fumecheng-12165	154	13	𝜌𝑣𝐴𝑣	𝜌𝑣𝐴𝑣	PROPN
fumecheng-12165	154	14	∫	∫	PROPN
fumecheng-12165	154	15	𝑁3	𝑁3	PROPN
fumecheng-12165	154	16	𝑇𝑁3	𝑇𝑁3	PROPN
fumecheng-12165	154	17	𝑙𝑒	𝑙𝑒	PROPN
fumecheng-12165	154	18	0	0	PROPN
fumecheng-12165	154	19	𝑑𝑥,𝑀𝑏𝑣	𝑑𝑥,𝑀𝑏𝑣	NOUN
fumecheng-12165	154	20	𝑒	𝑒	PROPN
fumecheng-12165	154	21	=	=	PUNCT
fumecheng-12165	154	22	𝜌𝑣𝐴𝑣	𝜌𝑣𝐴𝑣	PROPN
fumecheng-12165	154	23	∫	∫	PROPN
fumecheng-12165	154	24	𝑁𝑥	𝑁𝑥	PROPN
fumecheng-12165	155	1	𝑇𝑙𝑒	𝑇𝑙𝑒	PROPN
fumecheng-12165	155	2	0	0	NUM
fumecheng-12165	155	3	𝑁𝑥𝑑𝑥	𝑁𝑥𝑑𝑥	PROPN
fumecheng-12165	155	4	(	(	PUNCT
fumecheng-12165	155	5	46	46	NUM
fumecheng-12165	155	6	)	)	PUNCT
fumecheng-12165	155	7	the	the	DET
fumecheng-12165	155	8	element	element	NOUN
fumecheng-12165	155	9	mass	mass	NOUN
fumecheng-12165	155	10	matrix	matrix	NOUN
fumecheng-12165	155	11	𝑀𝑒	𝑀𝑒	NOUN
fumecheng-12165	155	12	is	be	AUX
fumecheng-12165	155	13	given	give	VERB
fumecheng-12165	155	14	as	as	ADP
fumecheng-12165	155	15	:	:	PUNCT
fumecheng-12165	155	16	𝑀𝑒⏟	𝑀𝑒⏟	ADJ
fumecheng-12165	155	17	⌊8×8⌋	⌊8×8⌋	NOUN
fumecheng-12165	155	18	=	=	PUNCT
fumecheng-12165	155	19	𝑀𝑎𝑐	𝑀𝑎𝑐	PROPN
fumecheng-12165	155	20	𝑒	𝑒	X
fumecheng-12165	155	21	+	+	CCONJ
fumecheng-12165	155	22	𝑀𝑏𝑐	𝑀𝑏𝑐	PROPN
fumecheng-12165	155	23	𝑒	𝑒	PROPN
fumecheng-12165	156	1	+	+	X
fumecheng-12165	157	1	𝑀𝑎𝑏	𝑀𝑎𝑏	PROPN
fumecheng-12165	157	2	𝑒	𝑒	ADP
fumecheng-12165	158	1	+	+	CCONJ
fumecheng-12165	159	1	𝑀𝑏𝑏	𝑀𝑏𝑏	PROPN
fumecheng-12165	159	2	𝑒	𝑒	NOUN
fumecheng-12165	159	3	+	+	PROPN
fumecheng-12165	159	4	𝑀a𝑣	𝑀a𝑣	PROPN
fumecheng-12165	159	5	𝑒	𝑒	NOUN
fumecheng-12165	159	6	+	+	PROPN
fumecheng-12165	159	7	𝑀𝑏𝑣	𝑀𝑏𝑣	PROPN
fumecheng-12165	159	8	𝑒	𝑒	PROPN
fumecheng-12165	159	9	(	(	PUNCT
fumecheng-12165	159	10	47	47	NUM
fumecheng-12165	159	11	)	)	PUNCT
fumecheng-12165	159	12	3.4	3.4	NUM
fumecheng-12165	159	13	.	.	PUNCT
fumecheng-12165	160	1	finite	finite	PROPN
fumecheng-12165	160	2	element	element	NOUN
fumecheng-12165	160	3	equation	equation	NOUN
fumecheng-12165	160	4	of	of	ADP
fumecheng-12165	160	5	motion	motion	NOUN
fumecheng-12165	160	6	after	after	ADP
fumecheng-12165	160	7	assembling	assemble	VERB
fumecheng-12165	160	8	the	the	DET
fumecheng-12165	160	9	global	global	ADJ
fumecheng-12165	160	10	stiffness	stiffness	NOUN
fumecheng-12165	160	11	and	and	CCONJ
fumecheng-12165	160	12	mass	mass	ADJ
fumecheng-12165	160	13	matrix	matrix	NOUN
fumecheng-12165	160	14	of	of	ADP
fumecheng-12165	160	15	the	the	DET
fumecheng-12165	160	16	structure	structure	NOUN
fumecheng-12165	161	1	,	,	PUNCT
fumecheng-12165	161	2	the	the	DET
fumecheng-12165	161	3	hamilton	hamilton	PROPN
fumecheng-12165	161	4	variation	variation	PROPN
fumecheng-12165	161	5	principle	principle	NOUN
fumecheng-12165	161	6	is	be	AUX
fumecheng-12165	161	7	used	use	VERB
fumecheng-12165	161	8	to	to	PART
fumecheng-12165	161	9	derive	derive	VERB
fumecheng-12165	161	10	the	the	DET
fumecheng-12165	161	11	dynamic	dynamic	ADJ
fumecheng-12165	161	12	equation	equation	NOUN
fumecheng-12165	161	13	of	of	ADP
fumecheng-12165	161	14	the	the	DET
fumecheng-12165	161	15	ve	ve	PROPN
fumecheng-12165	161	16	sandwich	sandwich	NOUN
fumecheng-12165	161	17	beam	beam	NOUN
fumecheng-12165	161	18	:	:	PUNCT
fumecheng-12165	161	19	∫	∫	PROPN
fumecheng-12165	161	20	𝛿(𝑇	𝛿(𝑇	PROPN
fumecheng-12165	161	21	−	−	PROPN
fumecheng-12165	161	22	𝑈	𝑈	PROPN
fumecheng-12165	161	23	)	)	PUNCT
fumecheng-12165	161	24	𝑡2	𝑡2	PROPN
fumecheng-12165	161	25	𝑡1	𝑡1	NOUN
fumecheng-12165	161	26	𝑑𝑡	𝑑𝑡	ADP
fumecheng-12165	161	27	+	+	CCONJ
fumecheng-12165	161	28	∫	∫	PROPN
fumecheng-12165	161	29	𝛿𝑤	𝛿𝑤	PROPN
fumecheng-12165	161	30	𝑡2	𝑡2	PROPN
fumecheng-12165	161	31	𝑡1	𝑡1	NOUN
fumecheng-12165	161	32	𝑑𝑡	𝑑𝑡	ADP
fumecheng-12165	161	33	=	=	SYM
fumecheng-12165	161	34	0	0	PROPN
fumecheng-12165	161	35	(	(	PUNCT
fumecheng-12165	161	36	48	48	NUM
fumecheng-12165	161	37	)	)	PUNCT
fumecheng-12165	161	38	after	after	ADP
fumecheng-12165	161	39	applying	apply	VERB
fumecheng-12165	161	40	eq	eq	ADP
fumecheng-12165	161	41	.	.	PUNCT
fumecheng-12165	162	1	(	(	PUNCT
fumecheng-12165	162	2	48	48	NUM
fumecheng-12165	162	3	)	)	PUNCT
fumecheng-12165	162	4	,	,	PUNCT
fumecheng-12165	162	5	the	the	DET
fumecheng-12165	162	6	ve	ve	VERB
fumecheng-12165	162	7	sandwich	sandwich	NOUN
fumecheng-12165	162	8	beam	beam	NOUN
fumecheng-12165	162	9	equation	equation	NOUN
fumecheng-12165	162	10	of	of	ADP
fumecheng-12165	162	11	motion	motion	NOUN
fumecheng-12165	162	12	is	be	AUX
fumecheng-12165	162	13	expressed	express	VERB
fumecheng-12165	162	14	as	as	ADP
fumecheng-12165	162	15	:	:	PUNCT
fumecheng-12165	162	16	𝑀𝑒	𝑀𝑒	PROPN
fumecheng-12165	162	17	�	�	PROPN
fumecheng-12165	162	18	̈	̈	X
fumecheng-12165	162	19	�	�	NOUN
fumecheng-12165	162	20	𝑒	𝑒	NOUN
fumecheng-12165	162	21	+	+	PUNCT
fumecheng-12165	163	1	𝐾𝑒	𝐾𝑒	ADV
fumecheng-12165	163	2	𝑒𝑑𝑒	𝑒𝑑𝑒	ADJ
fumecheng-12165	163	3	+	+	X
fumecheng-12165	164	1	𝐾𝑣	𝐾𝑣	ADJ
fumecheng-12165	164	2	𝑒𝑑𝑒	𝑒𝑑𝑒	X
fumecheng-12165	164	3	=	=	SYM
fumecheng-12165	164	4	𝐹𝑒	𝐹𝑒	PROPN
fumecheng-12165	164	5	(	(	PUNCT
fumecheng-12165	164	6	49	49	NUM
fumecheng-12165	164	7	)	)	PUNCT
fumecheng-12165	164	8	3.5	3.5	NUM
fumecheng-12165	164	9	.	.	PUNCT
fumecheng-12165	165	1	linear	linear	ADJ
fumecheng-12165	165	2	vibration	vibration	NOUN
fumecheng-12165	165	3	eigenvalue	eigenvalue	NOUN
fumecheng-12165	165	4	problem	problem	NOUN
fumecheng-12165	165	5	(	(	PUNCT
fumecheng-12165	165	6	constant	constant	ADJ
fumecheng-12165	165	7	complex	complex	ADJ
fumecheng-12165	165	8	modulus	modulus	NOUN
fumecheng-12165	165	9	)	)	PUNCT
fumecheng-12165	165	10	the	the	DET
fumecheng-12165	165	11	complex	complex	ADJ
fumecheng-12165	165	12	constant	constant	ADJ
fumecheng-12165	165	13	elastic	elastic	ADJ
fumecheng-12165	165	14	modulus	modulus	NOUN
fumecheng-12165	165	15	of	of	ADP
fumecheng-12165	165	16	ve	ve	PROPN
fumecheng-12165	165	17	material	material	NOUN
fumecheng-12165	165	18	e	e	NOUN
fumecheng-12165	165	19	is	be	AUX
fumecheng-12165	165	20	expressed	express	VERB
fumecheng-12165	165	21	as	as	ADP
fumecheng-12165	165	22	:	:	PUNCT
fumecheng-12165	165	23	𝐸∗	𝐸∗	NOUN
fumecheng-12165	165	24	=	=	SYM
fumecheng-12165	165	25	𝐸′	𝐸′	PROPN
fumecheng-12165	165	26	+	+	SYM
fumecheng-12165	165	27	𝑗𝐸′′	𝑗𝐸′′	PROPN
fumecheng-12165	165	28	(	(	PUNCT
fumecheng-12165	165	29	50	50	NUM
fumecheng-12165	165	30	)	)	PUNCT
fumecheng-12165	165	31	where	where	SCONJ
fumecheng-12165	165	32	𝐸′	𝐸′	PROPN
fumecheng-12165	165	33	is	be	AUX
fumecheng-12165	165	34	the	the	DET
fumecheng-12165	165	35	real	real	ADJ
fumecheng-12165	165	36	part	part	NOUN
fumecheng-12165	165	37	,	,	PUNCT
fumecheng-12165	165	38	also	also	ADV
fumecheng-12165	165	39	called	call	VERB
fumecheng-12165	165	40	storage	storage	NOUN
fumecheng-12165	165	41	modulus	modulus	NOUN
fumecheng-12165	165	42	,	,	PUNCT
fumecheng-12165	165	43	and	and	CCONJ
fumecheng-12165	165	44	𝐸′′	𝐸′′	NOUN
fumecheng-12165	165	45	is	be	AUX
fumecheng-12165	165	46	the	the	DET
fumecheng-12165	165	47	imaginary	imaginary	ADJ
fumecheng-12165	165	48	part	part	NOUN
fumecheng-12165	165	49	which	which	PRON
fumecheng-12165	165	50	is	be	AUX
fumecheng-12165	165	51	called	call	VERB
fumecheng-12165	165	52	energy	energy	NOUN
fumecheng-12165	165	53	dissipation	dissipation	NOUN
fumecheng-12165	165	54	modulus	modulus	NOUN
fumecheng-12165	165	55	.	.	PUNCT
fumecheng-12165	166	1	𝜂𝑣	𝜂𝑣	VERB
fumecheng-12165	167	1	=	=	PUNCT
fumecheng-12165	167	2	𝐸′′	𝐸′′	PROPN
fumecheng-12165	167	3	𝐸′	𝐸′	PROPN
fumecheng-12165	167	4	is	be	AUX
fumecheng-12165	167	5	ve	ve	NOUN
fumecheng-12165	167	6	loss	loss	NOUN
fumecheng-12165	167	7	factor	factor	NOUN
fumecheng-12165	167	8	,	,	PUNCT
fumecheng-12165	167	9	which	which	PRON
fumecheng-12165	167	10	is	be	AUX
fumecheng-12165	167	11	the	the	DET
fumecheng-12165	167	12	ratio	ratio	NOUN
fumecheng-12165	167	13	of	of	ADP
fumecheng-12165	167	14	energy	energy	NOUN
fumecheng-12165	167	15	dissipation	dissipation	NOUN
fumecheng-12165	167	16	modulus	modulus	NOUN
fumecheng-12165	167	17	to	to	PART
fumecheng-12165	167	18	storage	storage	VERB
fumecheng-12165	167	19	energy	energy	NOUN
fumecheng-12165	167	20	modulus	modulus	NOUN
fumecheng-12165	167	21	.	.	PUNCT
fumecheng-12165	168	1	the	the	DET
fumecheng-12165	168	2	loss	loss	NOUN
fumecheng-12165	168	3	factor	factor	NOUN
fumecheng-12165	168	4	of	of	ADP
fumecheng-12165	168	5	ve	ve	PROPN
fumecheng-12165	168	6	material	material	NOUN
fumecheng-12165	168	7	physically	physically	ADV
fumecheng-12165	168	8	represents	represent	VERB
fumecheng-12165	168	9	the	the	DET
fumecheng-12165	168	10	ratio	ratio	NOUN
fumecheng-12165	168	11	of	of	ADP
fumecheng-12165	168	12	the	the	DET
fumecheng-12165	168	13	energy	energy	NOUN
fumecheng-12165	168	14	consumed	consume	VERB
fumecheng-12165	168	15	from	from	ADP
fumecheng-12165	168	16	ve	ve	PROPN
fumecheng-12165	168	17	material	material	NOUN
fumecheng-12165	168	18	to	to	PART
fumecheng-12165	168	19	total	total	VERB
fumecheng-12165	168	20	energy	energy	NOUN
fumecheng-12165	168	21	.	.	PUNCT
fumecheng-12165	169	1	many	many	ADJ
fumecheng-12165	169	2	researchers	researcher	NOUN
fumecheng-12165	169	3	have	have	AUX
fumecheng-12165	169	4	used	use	VERB
fumecheng-12165	169	5	constant	constant	ADJ
fumecheng-12165	169	6	shear	shear	NOUN
fumecheng-12165	169	7	complex	complex	ADJ
fumecheng-12165	169	8	modulus	modulus	NOUN
fumecheng-12165	169	9	to	to	PART
fumecheng-12165	169	10	obtain	obtain	VERB
fumecheng-12165	169	11	a	a	DET
fumecheng-12165	169	12	simple	simple	ADJ
fumecheng-12165	169	13	dynamic	dynamic	ADJ
fumecheng-12165	169	14	equation	equation	NOUN
fumecheng-12165	169	15	by	by	ADP
fumecheng-12165	169	16	applying	apply	VERB
fumecheng-12165	169	17	a	a	DET
fumecheng-12165	169	18	simple	simple	ADJ
fumecheng-12165	169	19	harmonic	harmonic	ADJ
fumecheng-12165	169	20	excitation	excitation	NOUN
fumecheng-12165	169	21	force	force	NOUN
fumecheng-12165	169	22	[	[	X
fumecheng-12165	169	23	33	33	NUM
fumecheng-12165	169	24	]	]	PUNCT
fumecheng-12165	169	25	and	and	CCONJ
fumecheng-12165	169	26	eq	eq	NOUN
fumecheng-12165	169	27	.	.	PUNCT
fumecheng-12165	170	1	(	(	PUNCT
fumecheng-12165	170	2	49	49	NUM
fumecheng-12165	170	3	)	)	PUNCT
fumecheng-12165	170	4	could	could	AUX
fumecheng-12165	170	5	be	be	AUX
fumecheng-12165	170	6	expressed	express	VERB
fumecheng-12165	170	7	as	as	ADP
fumecheng-12165	170	8	:	:	PUNCT
fumecheng-12165	170	9	𝑀𝑒	𝑀𝑒	PROPN
fumecheng-12165	170	10	�	�	PROPN
fumecheng-12165	170	11	̈	̈	X
fumecheng-12165	170	12	�	�	NOUN
fumecheng-12165	170	13	𝑒	𝑒	X
fumecheng-12165	170	14	+	+	X
fumecheng-12165	170	15	𝑑𝑒𝐾𝑒	𝑑𝑒𝐾𝑒	PROPN
fumecheng-12165	170	16	=	=	SYM
fumecheng-12165	170	17	0	0	PROPN
fumecheng-12165	170	18	(	(	PUNCT
fumecheng-12165	170	19	51	51	NUM
fumecheng-12165	170	20	)	)	PUNCT
fumecheng-12165	170	21	where	where	SCONJ
fumecheng-12165	170	22	𝐾𝑒	𝐾𝑒	PROPN
fumecheng-12165	170	23	,	,	PUNCT
fumecheng-12165	170	24	𝑀𝑒	𝑀𝑒	PROPN
fumecheng-12165	170	25	are	be	AUX
fumecheng-12165	170	26	the	the	DET
fumecheng-12165	170	27	total	total	ADJ
fumecheng-12165	170	28	stiffness	stiffness	ADJ
fumecheng-12165	170	29	matrix	matrix	NOUN
fumecheng-12165	170	30	and	and	CCONJ
fumecheng-12165	170	31	total	total	ADJ
fumecheng-12165	170	32	mass	mass	ADJ
fumecheng-12165	170	33	matrix	matrix	NOUN
fumecheng-12165	170	34	of	of	ADP
fumecheng-12165	170	35	the	the	DET
fumecheng-12165	170	36	ve	ve	NOUN
fumecheng-12165	170	37	sandwich	sandwich	NOUN
fumecheng-12165	170	38	beam	beam	NOUN
fumecheng-12165	170	39	,	,	PUNCT
fumecheng-12165	170	40	respectively	respectively	ADV
fumecheng-12165	170	41	.	.	PUNCT
fumecheng-12165	171	1	then	then	ADV
fumecheng-12165	171	2	,	,	PUNCT
fumecheng-12165	171	3	the	the	DET
fumecheng-12165	171	4	eigenvalue	eigenvalue	PROPN
fumecheng-12165	171	5	problem	problem	NOUN
fumecheng-12165	171	6	is	be	AUX
fumecheng-12165	171	7	expressed	express	VERB
fumecheng-12165	171	8	as	as	ADP
fumecheng-12165	171	9	(	(	PUNCT
fumecheng-12165	171	10	𝐾𝑒	𝐾𝑒	INTJ
fumecheng-12165	171	11	−	−	PROPN
fumecheng-12165	171	12	𝜔∗2𝑀𝑒)𝑋	𝜔∗2𝑀𝑒)𝑋	ADV
fumecheng-12165	171	13	=	=	SYM
fumecheng-12165	171	14	0	0	NUM
fumecheng-12165	171	15	(	(	PUNCT
fumecheng-12165	171	16	52	52	NUM
fumecheng-12165	171	17	)	)	PUNCT
fumecheng-12165	171	18	where	where	SCONJ
fumecheng-12165	171	19	𝜔∗	𝜔∗	PROPN
fumecheng-12165	171	20	is	be	AUX
fumecheng-12165	171	21	the	the	DET
fumecheng-12165	171	22	complex	complex	ADJ
fumecheng-12165	171	23	frequency	frequency	NOUN
fumecheng-12165	171	24	,	,	PUNCT
fumecheng-12165	171	25	and	and	CCONJ
fumecheng-12165	171	26	x	x	X
fumecheng-12165	171	27	is	be	AUX
fumecheng-12165	171	28	the	the	DET
fumecheng-12165	171	29	complex	complex	ADJ
fumecheng-12165	171	30	eigenmodes	eigenmode	NOUN
fumecheng-12165	171	31	of	of	ADP
fumecheng-12165	171	32	ve	ve	VERB
fumecheng-12165	171	33	sandwich	sandwich	NOUN
fumecheng-12165	171	34	beam	beam	NOUN
fumecheng-12165	171	35	.	.	PUNCT
fumecheng-12165	172	1	natural	natural	ADJ
fumecheng-12165	172	2	frequency	frequency	NOUN
fumecheng-12165	172	3	𝜔𝑛	𝜔𝑛	NOUN
fumecheng-12165	172	4	and	and	CCONJ
fumecheng-12165	172	5	model	model	NOUN
fumecheng-12165	172	6	loss	loss	NOUN
fumecheng-12165	172	7	factor	factor	NOUN
fumecheng-12165	172	8	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	172	9	are	be	AUX
fumecheng-12165	172	10	calculated	calculate	VERB
fumecheng-12165	172	11	as	as	SCONJ
fumecheng-12165	172	12	follows	follow	VERB
fumecheng-12165	172	13	:	:	PUNCT
fumecheng-12165	172	14	𝜔𝑛	𝜔𝑛	NOUN
fumecheng-12165	172	15	=	=	SYM
fumecheng-12165	172	16	√𝑅𝑒𝜔	√𝑅𝑒𝜔	PART
fumecheng-12165	172	17	∗	∗	NOUN
fumecheng-12165	172	18	(	(	PUNCT
fumecheng-12165	172	19	53	53	NUM
fumecheng-12165	172	20	)	)	PUNCT
fumecheng-12165	172	21	600	600	NUM
fumecheng-12165	172	22	y.	y.	PROPN
fumecheng-12165	172	23	elmoghazy	elmoghazy	PROPN
fumecheng-12165	172	24	,	,	PUNCT
fumecheng-12165	172	25	b.	b.	PROPN
fumecheng-12165	172	26	safaei	safaei	PROPN
fumecheng-12165	172	27	,	,	PUNCT
fumecheng-12165	172	28	s.	s.	PROPN
fumecheng-12165	172	29	sahmani	sahmani	PROPN
fumecheng-12165	172	30	4	4	NUM
fumecheng-12165	172	31	.	.	PUNCT
fumecheng-12165	173	1	numerical	numerical	ADJ
fumecheng-12165	173	2	results	result	NOUN
fumecheng-12165	173	3	and	and	CCONJ
fumecheng-12165	173	4	validation	validation	NOUN
fumecheng-12165	173	5	4.1	4.1	NUM
fumecheng-12165	173	6	.	.	PUNCT
fumecheng-12165	173	7	normal	normal	ADJ
fumecheng-12165	173	8	mode	mode	NOUN
fumecheng-12165	173	9	analysis	analysis	NOUN
fumecheng-12165	173	10	(	(	PUNCT
fumecheng-12165	173	11	free	free	ADJ
fumecheng-12165	173	12	vibration	vibration	NOUN
fumecheng-12165	173	13	)	)	PUNCT
fumecheng-12165	173	14	normal	normal	ADJ
fumecheng-12165	173	15	modal	modal	ADJ
fumecheng-12165	173	16	analysis	analysis	NOUN
fumecheng-12165	173	17	is	be	AUX
fumecheng-12165	173	18	a	a	DET
fumecheng-12165	173	19	prerequisite	prerequisite	ADJ
fumecheng-12165	173	20	step	step	NOUN
fumecheng-12165	173	21	in	in	ADP
fumecheng-12165	173	22	modeling	model	VERB
fumecheng-12165	173	23	the	the	DET
fumecheng-12165	173	24	dynamic	dynamic	ADJ
fumecheng-12165	173	25	behavior	behavior	NOUN
fumecheng-12165	173	26	of	of	ADP
fumecheng-12165	173	27	ve	ve	VERB
fumecheng-12165	173	28	sandwich	sandwich	NOUN
fumecheng-12165	173	29	structures	structure	NOUN
fumecheng-12165	173	30	.	.	PUNCT
fumecheng-12165	174	1	it	it	PRON
fumecheng-12165	174	2	is	be	AUX
fumecheng-12165	174	3	a	a	DET
fumecheng-12165	174	4	semi	semi	ADJ
fumecheng-12165	174	5	-	-	ADJ
fumecheng-12165	174	6	final	final	ADJ
fumecheng-12165	174	7	step	step	NOUN
fumecheng-12165	174	8	that	that	PRON
fumecheng-12165	174	9	gives	give	VERB
fumecheng-12165	174	10	theoretical	theoretical	ADJ
fumecheng-12165	174	11	values	value	NOUN
fumecheng-12165	174	12	for	for	ADP
fumecheng-12165	174	13	eigenvalues	eigenvalue	NOUN
fumecheng-12165	174	14	and	and	CCONJ
fumecheng-12165	174	15	eigenvectors	eigenvector	NOUN
fumecheng-12165	174	16	that	that	PRON
fumecheng-12165	174	17	have	have	VERB
fumecheng-12165	174	18	no	no	DET
fumecheng-12165	174	19	physical	physical	ADJ
fumecheng-12165	174	20	meaning	meaning	NOUN
fumecheng-12165	174	21	unless	unless	SCONJ
fumecheng-12165	174	22	normal	normal	ADJ
fumecheng-12165	174	23	model	model	NOUN
fumecheng-12165	174	24	analysis	analysis	NOUN
fumecheng-12165	174	25	is	be	AUX
fumecheng-12165	174	26	paired	pair	VERB
fumecheng-12165	174	27	with	with	ADP
fumecheng-12165	174	28	harmonic	harmonic	ADJ
fumecheng-12165	174	29	or	or	CCONJ
fumecheng-12165	174	30	time	time	NOUN
fumecheng-12165	174	31	response	response	NOUN
fumecheng-12165	174	32	analysis	analysis	NOUN
fumecheng-12165	174	33	.	.	PUNCT
fumecheng-12165	175	1	the	the	DET
fumecheng-12165	175	2	mechanical	mechanical	ADJ
fumecheng-12165	175	3	and	and	CCONJ
fumecheng-12165	175	4	geometrical	geometrical	ADJ
fumecheng-12165	175	5	properties	property	NOUN
fumecheng-12165	175	6	of	of	ADP
fumecheng-12165	175	7	elastic	elastic	ADJ
fumecheng-12165	175	8	and	and	CCONJ
fumecheng-12165	175	9	core	core	NOUN
fumecheng-12165	175	10	layers	layer	NOUN
fumecheng-12165	175	11	of	of	ADP
fumecheng-12165	175	12	ve	ve	VERB
fumecheng-12165	175	13	sandwich	sandwich	NOUN
fumecheng-12165	175	14	beam	beam	NOUN
fumecheng-12165	175	15	are	be	AUX
fumecheng-12165	175	16	summarized	summarize	VERB
fumecheng-12165	175	17	in	in	ADP
fumecheng-12165	175	18	table	table	NOUN
fumecheng-12165	175	19	1	1	NUM
fumecheng-12165	175	20	.	.	PUNCT
fumecheng-12165	175	21	table	table	NOUN
fumecheng-12165	175	22	1	1	NUM
fumecheng-12165	175	23	materials	material	NOUN
fumecheng-12165	175	24	mechanical	mechanical	ADJ
fumecheng-12165	175	25	properties	property	NOUN
fumecheng-12165	175	26	and	and	CCONJ
fumecheng-12165	175	27	geometrical	geometrical	ADJ
fumecheng-12165	175	28	specifications	specification	NOUN
fumecheng-12165	175	29	of	of	ADP
fumecheng-12165	175	30	ve	ve	VERB
fumecheng-12165	175	31	sandwich	sandwich	NOUN
fumecheng-12165	175	32	beam	beam	NOUN
fumecheng-12165	175	33	[	[	X
fumecheng-12165	175	34	33	33	NUM
fumecheng-12165	175	35	]	]	PUNCT
fumecheng-12165	175	36	aluminum	aluminum	NOUN
fumecheng-12165	175	37	layers	layer	NOUN
fumecheng-12165	175	38	ve	ve	VERB
fumecheng-12165	175	39	core	core	NOUN
fumecheng-12165	175	40	layer	layer	NOUN
fumecheng-12165	175	41	young	young	ADJ
fumecheng-12165	175	42	modulus	modulus	NOUN
fumecheng-12165	175	43	(	(	PUNCT
fumecheng-12165	175	44	mpa	mpa	PROPN
fumecheng-12165	175	45	)	)	PUNCT
fumecheng-12165	175	46	6.9×	6.9×	NOUN
fumecheng-12165	175	47	104	104	NUM
fumecheng-12165	175	48	1.794×(1	1.794×(1	NUM
fumecheng-12165	175	49	+	+	NOUN
fumecheng-12165	175	50	0.3i	0.3i	NOUN
fumecheng-12165	175	51	)	)	PUNCT
fumecheng-12165	175	52	poisson	poisson	NOUN
fumecheng-12165	175	53	’s	’s	PART
fumecheng-12165	175	54	ration	ration	NOUN
fumecheng-12165	175	55	0.3	0.3	NUM
fumecheng-12165	175	56	0.3	0.3	NUM
fumecheng-12165	175	57	loss	loss	NOUN
fumecheng-12165	175	58	factor	factor	NOUN
fumecheng-12165	175	59	0.1,0.6,1,1.5	0.1,0.6,1,1.5	PUNCT
fumecheng-12165	175	60	density	density	NOUN
fumecheng-12165	175	61	(	(	PUNCT
fumecheng-12165	175	62	kg	kg	NOUN
fumecheng-12165	175	63	/	/	SYM
fumecheng-12165	175	64	m3	m3	PROPN
fumecheng-12165	175	65	)	)	PUNCT
fumecheng-12165	175	66	2766	2766	NUM
fumecheng-12165	175	67	968.1	968.1	NUM
fumecheng-12165	175	68	length	length	NOUN
fumecheng-12165	175	69	(	(	PUNCT
fumecheng-12165	175	70	mm	mm	NOUN
fumecheng-12165	175	71	)	)	PUNCT
fumecheng-12165	175	72	177.8	177.8	NUM
fumecheng-12165	175	73	177.8	177.8	NUM
fumecheng-12165	175	74	width	width	NOUN
fumecheng-12165	175	75	(	(	PUNCT
fumecheng-12165	175	76	mm	mm	NOUN
fumecheng-12165	175	77	)	)	PUNCT
fumecheng-12165	175	78	12.7	12.7	NUM
fumecheng-12165	175	79	12.7	12.7	NUM
fumecheng-12165	175	80	thickness	thickness	NOUN
fumecheng-12165	175	81	(	(	PUNCT
fumecheng-12165	175	82	mm	mm	NOUN
fumecheng-12165	175	83	)	)	PUNCT
fumecheng-12165	175	84	1.52	1.52	NUM
fumecheng-12165	175	85	0.127	0.127	NUM
fumecheng-12165	175	86	4.1.1	4.1.1	NUM
fumecheng-12165	175	87	.	.	PUNCT
fumecheng-12165	176	1	case	case	NOUN
fumecheng-12165	176	2	study	study	VERB
fumecheng-12165	176	3	#	#	SYM
fumecheng-12165	176	4	1	1	NUM
fumecheng-12165	176	5	:	:	PUNCT
fumecheng-12165	176	6	c	c	X
fumecheng-12165	176	7	-	-	PUNCT
fumecheng-12165	176	8	f	f	NOUN
fumecheng-12165	176	9	ve	ve	VERB
fumecheng-12165	176	10	sandwich	sandwich	NOUN
fumecheng-12165	176	11	beam	beam	NOUN
fumecheng-12165	176	12	to	to	PART
fumecheng-12165	176	13	study	study	VERB
fumecheng-12165	176	14	the	the	DET
fumecheng-12165	176	15	linear	linear	ADJ
fumecheng-12165	176	16	vibration	vibration	NOUN
fumecheng-12165	176	17	of	of	ADP
fumecheng-12165	176	18	ve	ve	VERB
fumecheng-12165	176	19	sandwich	sandwich	NOUN
fumecheng-12165	176	20	structures	structure	NOUN
fumecheng-12165	176	21	,	,	PUNCT
fumecheng-12165	176	22	a	a	DET
fumecheng-12165	176	23	cantilever	cantilever	NOUN
fumecheng-12165	176	24	beam	beam	NOUN
fumecheng-12165	176	25	was	be	AUX
fumecheng-12165	176	26	discretized	discretize	VERB
fumecheng-12165	176	27	into	into	ADP
fumecheng-12165	176	28	30	30	NUM
fumecheng-12165	176	29	elements	element	NOUN
fumecheng-12165	176	30	.	.	PUNCT
fumecheng-12165	177	1	in	in	ADP
fumecheng-12165	177	2	this	this	DET
fumecheng-12165	177	3	case	case	NOUN
fumecheng-12165	177	4	,	,	PUNCT
fumecheng-12165	177	5	ve	ve	NOUN
fumecheng-12165	177	6	material	material	NOUN
fumecheng-12165	177	7	is	be	AUX
fumecheng-12165	177	8	independent	independent	ADJ
fumecheng-12165	177	9	from	from	ADP
fumecheng-12165	177	10	young	young	PROPN
fumecheng-12165	177	11	’s	’s	PART
fumecheng-12165	177	12	modulus	modulus	PROPN
fumecheng-12165	177	13	e.	e.	PROPN
fumecheng-12165	177	14	the	the	DET
fumecheng-12165	177	15	mechanical	mechanical	ADJ
fumecheng-12165	177	16	and	and	CCONJ
fumecheng-12165	177	17	geometrical	geometrical	ADJ
fumecheng-12165	177	18	properties	property	NOUN
fumecheng-12165	177	19	of	of	ADP
fumecheng-12165	177	20	elastic	elastic	ADJ
fumecheng-12165	177	21	and	and	CCONJ
fumecheng-12165	177	22	core	core	NOUN
fumecheng-12165	177	23	layers	layer	NOUN
fumecheng-12165	177	24	of	of	ADP
fumecheng-12165	177	25	ve	ve	VERB
fumecheng-12165	177	26	sandwich	sandwich	NOUN
fumecheng-12165	177	27	beam	beam	NOUN
fumecheng-12165	177	28	are	be	AUX
fumecheng-12165	177	29	summarized	summarize	VERB
fumecheng-12165	177	30	in	in	ADP
fumecheng-12165	177	31	table	table	NOUN
fumecheng-12165	177	32	1	1	NUM
fumecheng-12165	177	33	.	.	PUNCT
fumecheng-12165	178	1	a	a	DET
fumecheng-12165	178	2	matlab	matlab	PROPN
fumecheng-12165	178	3	code	code	NOUN
fumecheng-12165	178	4	was	be	AUX
fumecheng-12165	178	5	developed	develop	VERB
fumecheng-12165	178	6	to	to	PART
fumecheng-12165	178	7	solve	solve	VERB
fumecheng-12165	178	8	the	the	DET
fumecheng-12165	178	9	eigenvalues	eigenvalue	NOUN
fumecheng-12165	178	10	problem	problem	NOUN
fumecheng-12165	178	11	.	.	PUNCT
fumecheng-12165	179	1	in	in	ADP
fumecheng-12165	179	2	addition	addition	NOUN
fumecheng-12165	179	3	,	,	PUNCT
fumecheng-12165	179	4	2d	2d	NUM
fumecheng-12165	179	5	and	and	CCONJ
fumecheng-12165	179	6	3d	3d	NUM
fumecheng-12165	179	7	finite	finite	PROPN
fumecheng-12165	179	8	element	element	NOUN
fumecheng-12165	179	9	models	model	NOUN
fumecheng-12165	179	10	were	be	AUX
fumecheng-12165	179	11	built	build	VERB
fumecheng-12165	179	12	using	use	VERB
fumecheng-12165	179	13	fe	fe	NOUN
fumecheng-12165	179	14	solver	solver	PROPN
fumecheng-12165	179	15	software	software	NOUN
fumecheng-12165	179	16	abaqus	abaqus	NOUN
fumecheng-12165	179	17	to	to	PART
fumecheng-12165	179	18	show	show	VERB
fumecheng-12165	179	19	the	the	DET
fumecheng-12165	179	20	efficiency	efficiency	NOUN
fumecheng-12165	179	21	of	of	ADP
fumecheng-12165	179	22	the	the	DET
fumecheng-12165	179	23	numerical	numerical	ADJ
fumecheng-12165	179	24	approach	approach	NOUN
fumecheng-12165	179	25	.	.	PUNCT
fumecheng-12165	180	1	for	for	ADP
fumecheng-12165	180	2	mesh	mesh	NOUN
fumecheng-12165	180	3	modeling	modeling	NOUN
fumecheng-12165	180	4	,	,	PUNCT
fumecheng-12165	180	5	2d	2d	NOUN
fumecheng-12165	180	6	and	and	CCONJ
fumecheng-12165	180	7	3d	3d	PROPN
fumecheng-12165	180	8	fe	fe	PROPN
fumecheng-12165	180	9	models	model	NOUN
fumecheng-12165	180	10	were	be	AUX
fumecheng-12165	180	11	built	build	VERB
fumecheng-12165	180	12	using	use	VERB
fumecheng-12165	180	13	abaqus	abaqus	NOUN
fumecheng-12165	180	14	software	software	NOUN
fumecheng-12165	180	15	.	.	PUNCT
fumecheng-12165	181	1	the	the	DET
fumecheng-12165	181	2	eight	eight	NUM
fumecheng-12165	181	3	-	-	PUNCT
fumecheng-12165	181	4	node	node	ADJ
fumecheng-12165	181	5	continuum	continuum	ADJ
fumecheng-12165	181	6	quadratic	quadratic	ADJ
fumecheng-12165	181	7	brick	brick	NOUN
fumecheng-12165	181	8	element	element	NOUN
fumecheng-12165	181	9	cps8	cps8	NOUN
fumecheng-12165	181	10	is	be	AUX
fumecheng-12165	181	11	used	use	VERB
fumecheng-12165	181	12	to	to	PART
fumecheng-12165	181	13	discretize	discretize	VERB
fumecheng-12165	181	14	the	the	DET
fumecheng-12165	181	15	2d	2d	NUM
fumecheng-12165	181	16	model	model	NOUN
fumecheng-12165	181	17	,	,	PUNCT
fumecheng-12165	181	18	while	while	SCONJ
fumecheng-12165	181	19	the	the	DET
fumecheng-12165	181	20	20	20	NUM
fumecheng-12165	181	21	-	-	PUNCT
fumecheng-12165	181	22	node	node	NOUN
fumecheng-12165	181	23	c3d20	c3d20	VERB
fumecheng-12165	181	24	was	be	AUX
fumecheng-12165	181	25	used	use	VERB
fumecheng-12165	181	26	to	to	PART
fumecheng-12165	181	27	discretize	discretize	VERB
fumecheng-12165	181	28	the	the	DET
fumecheng-12165	181	29	3d	3d	PROPN
fumecheng-12165	181	30	model	model	NOUN
fumecheng-12165	181	31	.	.	PUNCT
fumecheng-12165	182	1	the	the	DET
fumecheng-12165	182	2	sizing	sizing	NOUN
fumecheng-12165	182	3	control	control	NOUN
fumecheng-12165	182	4	technique	technique	NOUN
fumecheng-12165	182	5	is	be	AUX
fumecheng-12165	182	6	used	use	VERB
fumecheng-12165	182	7	with	with	ADP
fumecheng-12165	182	8	a	a	DET
fumecheng-12165	182	9	maximum	maximum	ADJ
fumecheng-12165	182	10	mesh	mesh	NOUN
fumecheng-12165	182	11	global	global	ADJ
fumecheng-12165	182	12	size	size	NOUN
fumecheng-12165	182	13	of	of	ADP
fumecheng-12165	182	14	0.5	0.5	NUM
fumecheng-12165	182	15	mm	mm	NOUN
fumecheng-12165	182	16	and	and	CCONJ
fumecheng-12165	182	17	maximum	maximum	ADJ
fumecheng-12165	182	18	deviation	deviation	NOUN
fumecheng-12165	182	19	factor	factor	NOUN
fumecheng-12165	182	20	of	of	ADP
fumecheng-12165	182	21	0.1	0.1	NUM
fumecheng-12165	182	22	.	.	PUNCT
fumecheng-12165	183	1	table	table	NOUN
fumecheng-12165	183	2	1	1	NUM
fumecheng-12165	183	3	gives	give	VERB
fumecheng-12165	183	4	the	the	DET
fumecheng-12165	183	5	specifications	specification	NOUN
fumecheng-12165	183	6	of	of	ADP
fumecheng-12165	183	7	cps8	cps8	NOUN
fumecheng-12165	183	8	and	and	CCONJ
fumecheng-12165	183	9	c3d20	c3d20	PROPN
fumecheng-12165	183	10	.	.	PUNCT
fumecheng-12165	184	1	based	base	VERB
fumecheng-12165	184	2	on	on	ADP
fumecheng-12165	184	3	euler	euler	PROPN
fumecheng-12165	184	4	-	-	PUNCT
fumecheng-12165	184	5	bernoulli	bernoulli	PROPN
fumecheng-12165	184	6	beam	beam	NOUN
fumecheng-12165	184	7	theory	theory	NOUN
fumecheng-12165	184	8	,	,	PUNCT
fumecheng-12165	184	9	the	the	DET
fumecheng-12165	184	10	natural	natural	ADJ
fumecheng-12165	184	11	frequencies	frequency	NOUN
fumecheng-12165	184	12	of	of	ADP
fumecheng-12165	184	13	a	a	DET
fumecheng-12165	184	14	base	base	NOUN
fumecheng-12165	184	15	beam	beam	NOUN
fumecheng-12165	184	16	without	without	ADP
fumecheng-12165	184	17	ve	ve	NOUN
fumecheng-12165	184	18	core	core	NOUN
fumecheng-12165	184	19	and	and	CCONJ
fumecheng-12165	184	20	constraining	constrain	VERB
fumecheng-12165	184	21	layer	layer	NOUN
fumecheng-12165	184	22	are	be	AUX
fumecheng-12165	184	23	calculated	calculate	VERB
fumecheng-12165	184	24	as	as	ADP
fumecheng-12165	184	25	:	:	PUNCT
fumecheng-12165	184	26	𝜔𝑛	𝜔𝑛	ADP
fumecheng-12165	184	27	=	=	PUNCT
fumecheng-12165	184	28	𝐴𝑛	𝐴𝑛	PROPN
fumecheng-12165	184	29	2𝜋𝐿2	2𝜋𝐿2	PROPN
fumecheng-12165	184	30	√	√	NUM
fumecheng-12165	184	31	𝐸𝐼	𝐸𝐼	PROPN
fumecheng-12165	184	32	𝜌𝐴	𝜌𝐴	PROPN
fumecheng-12165	184	33	(	(	PUNCT
fumecheng-12165	184	34	54	54	NUM
fumecheng-12165	184	35	)	)	PUNCT
fumecheng-12165	184	36	where	where	SCONJ
fumecheng-12165	184	37	𝐸	𝐸	PROPN
fumecheng-12165	184	38	is	be	AUX
fumecheng-12165	184	39	the	the	DET
fumecheng-12165	184	40	modulus	modulus	NOUN
fumecheng-12165	184	41	of	of	ADP
fumecheng-12165	184	42	elasticity	elasticity	NOUN
fumecheng-12165	184	43	,	,	PUNCT
fumecheng-12165	184	44	𝐼	𝐼	PROPN
fumecheng-12165	184	45	is	be	AUX
fumecheng-12165	184	46	the	the	DET
fumecheng-12165	184	47	cross	cross	ADJ
fumecheng-12165	184	48	-	-	ADJ
fumecheng-12165	184	49	sectional	sectional	ADJ
fumecheng-12165	184	50	moment	moment	NOUN
fumecheng-12165	184	51	of	of	ADP
fumecheng-12165	184	52	inertia	inertia	NOUN
fumecheng-12165	184	53	of	of	ADP
fumecheng-12165	184	54	the	the	DET
fumecheng-12165	184	55	base	base	NOUN
fumecheng-12165	184	56	beam	beam	NOUN
fumecheng-12165	184	57	,	,	PUNCT
fumecheng-12165	184	58	𝜌	𝜌	X
fumecheng-12165	184	59	is	be	AUX
fumecheng-12165	184	60	material	material	ADJ
fumecheng-12165	184	61	density	density	NOUN
fumecheng-12165	184	62	,	,	PUNCT
fumecheng-12165	184	63	and	and	CCONJ
fumecheng-12165	184	64	𝐴	𝐴	PROPN
fumecheng-12165	184	65	is	be	AUX
fumecheng-12165	184	66	the	the	DET
fumecheng-12165	184	67	cross	cross	ADJ
fumecheng-12165	184	68	-	-	ADJ
fumecheng-12165	184	69	sectional	sectional	ADJ
fumecheng-12165	184	70	area	area	NOUN
fumecheng-12165	184	71	of	of	ADP
fumecheng-12165	184	72	the	the	DET
fumecheng-12165	184	73	beam	beam	NOUN
fumecheng-12165	184	74	.	.	PUNCT
fumecheng-12165	185	1	according	accord	VERB
fumecheng-12165	185	2	to	to	ADP
fumecheng-12165	185	3	eq	eq	PROPN
fumecheng-12165	185	4	.	.	PUNCT
fumecheng-12165	186	1	(	(	PUNCT
fumecheng-12165	186	2	54	54	NUM
fumecheng-12165	186	3	)	)	PUNCT
fumecheng-12165	186	4	,	,	PUNCT
fumecheng-12165	186	5	the	the	DET
fumecheng-12165	186	6	first	first	ADJ
fumecheng-12165	186	7	fundamental	fundamental	ADJ
fumecheng-12165	186	8	natural	natural	ADJ
fumecheng-12165	186	9	frequencies	frequency	NOUN
fumecheng-12165	186	10	of	of	ADP
fumecheng-12165	186	11	the	the	DET
fumecheng-12165	186	12	base	base	NOUN
fumecheng-12165	186	13	beam	beam	NOUN
fumecheng-12165	186	14	without	without	ADP
fumecheng-12165	186	15	ve	ve	NOUN
fumecheng-12165	186	16	core	core	NOUN
fumecheng-12165	186	17	and	and	CCONJ
fumecheng-12165	186	18	constraining	constrain	VERB
fumecheng-12165	186	19	layer	layer	NOUN
fumecheng-12165	186	20	are	be	AUX
fumecheng-12165	186	21	calculated	calculate	VERB
fumecheng-12165	186	22	as	as	ADP
fumecheng-12165	186	23	38.83hz	38.83hz	NUM
fumecheng-12165	186	24	and	and	CCONJ
fumecheng-12165	186	25	247.1hz	247.1hz	NUM
fumecheng-12165	186	26	.	.	PUNCT
fumecheng-12165	187	1	601	601	NUM
fumecheng-12165	187	2	dynamics	dynamic	VERB
fumecheng-12165	187	3	analysis	analysis	NOUN
fumecheng-12165	187	4	of	of	ADP
fumecheng-12165	187	5	viscoelastic	viscoelastic	NOUN
fumecheng-12165	187	6	sandwiched	sandwich	VERB
fumecheng-12165	187	7	structures	structure	NOUN
fumecheng-12165	187	8	integrated	integrate	VERB
fumecheng-12165	187	9	with	with	ADP
fumecheng-12165	187	10	aluminum	aluminum	NOUN
fumecheng-12165	187	11	sheets	sheet	NOUN
fumecheng-12165	187	12	it	it	PRON
fumecheng-12165	187	13	is	be	AUX
fumecheng-12165	187	14	worth	worth	ADJ
fumecheng-12165	187	15	pointing	point	VERB
fumecheng-12165	187	16	out	out	ADP
fumecheng-12165	187	17	that	that	SCONJ
fumecheng-12165	187	18	,	,	PUNCT
fumecheng-12165	187	19	with	with	ADP
fumecheng-12165	187	20	the	the	DET
fumecheng-12165	187	21	addition	addition	NOUN
fumecheng-12165	187	22	of	of	ADP
fumecheng-12165	187	23	a	a	DET
fumecheng-12165	187	24	ve	ve	NOUN
fumecheng-12165	187	25	layer	layer	NOUN
fumecheng-12165	187	26	and	and	CCONJ
fumecheng-12165	187	27	a	a	DET
fumecheng-12165	187	28	constrained	constrain	VERB
fumecheng-12165	187	29	layer	layer	NOUN
fumecheng-12165	187	30	,	,	PUNCT
fumecheng-12165	187	31	the	the	DET
fumecheng-12165	187	32	stiffness	stiffness	NOUN
fumecheng-12165	187	33	and	and	CCONJ
fumecheng-12165	187	34	mass	mass	NOUN
fumecheng-12165	187	35	are	be	AUX
fumecheng-12165	187	36	increased	increase	VERB
fumecheng-12165	187	37	accordingly	accordingly	ADV
fumecheng-12165	187	38	.	.	PUNCT
fumecheng-12165	188	1	from	from	ADP
fumecheng-12165	188	2	eq	eq	ADP
fumecheng-12165	188	3	.	.	PUNCT
fumecheng-12165	189	1	(	(	PUNCT
fumecheng-12165	189	2	54	54	NUM
fumecheng-12165	189	3	)	)	PUNCT
fumecheng-12165	189	4	,	,	PUNCT
fumecheng-12165	189	5	an	an	DET
fumecheng-12165	189	6	increase	increase	NOUN
fumecheng-12165	189	7	in	in	ADP
fumecheng-12165	189	8	structure	structure	NOUN
fumecheng-12165	189	9	stiffness	stiffness	NOUN
fumecheng-12165	189	10	leads	lead	VERB
fumecheng-12165	189	11	to	to	ADP
fumecheng-12165	189	12	an	an	DET
fumecheng-12165	189	13	increase	increase	NOUN
fumecheng-12165	189	14	in	in	ADP
fumecheng-12165	189	15	the	the	DET
fumecheng-12165	189	16	natural	natural	ADJ
fumecheng-12165	189	17	frequency	frequency	NOUN
fumecheng-12165	189	18	of	of	ADP
fumecheng-12165	189	19	the	the	DET
fumecheng-12165	189	20	structure	structure	NOUN
fumecheng-12165	189	21	,	,	PUNCT
fumecheng-12165	189	22	while	while	SCONJ
fumecheng-12165	189	23	an	an	DET
fumecheng-12165	189	24	increase	increase	NOUN
fumecheng-12165	189	25	in	in	ADP
fumecheng-12165	189	26	the	the	DET
fumecheng-12165	189	27	additional	additional	ADJ
fumecheng-12165	189	28	mass	mass	NOUN
fumecheng-12165	189	29	leads	lead	VERB
fumecheng-12165	189	30	to	to	ADP
fumecheng-12165	189	31	a	a	DET
fumecheng-12165	189	32	decrease	decrease	NOUN
fumecheng-12165	189	33	in	in	ADP
fumecheng-12165	189	34	the	the	DET
fumecheng-12165	189	35	natural	natural	ADJ
fumecheng-12165	189	36	frequency	frequency	NOUN
fumecheng-12165	189	37	.	.	PUNCT
fumecheng-12165	190	1	according	accord	VERB
fumecheng-12165	190	2	to	to	ADP
fumecheng-12165	190	3	table	table	NOUN
fumecheng-12165	190	4	1	1	NUM
fumecheng-12165	190	5	,	,	PUNCT
fumecheng-12165	190	6	the	the	DET
fumecheng-12165	190	7	density	density	NOUN
fumecheng-12165	190	8	of	of	ADP
fumecheng-12165	190	9	ve	ve	NOUN
fumecheng-12165	190	10	core	core	NOUN
fumecheng-12165	190	11	is	be	AUX
fumecheng-12165	190	12	about	about	ADV
fumecheng-12165	190	13	half	half	NOUN
fumecheng-12165	190	14	of	of	ADP
fumecheng-12165	190	15	elastic	elastic	ADJ
fumecheng-12165	190	16	layer	layer	NOUN
fumecheng-12165	190	17	's	's	PART
fumecheng-12165	190	18	density	density	NOUN
fumecheng-12165	190	19	,	,	PUNCT
fumecheng-12165	190	20	however	however	ADV
fumecheng-12165	190	21	,	,	PUNCT
fumecheng-12165	190	22	the	the	DET
fumecheng-12165	190	23	stiffness	stiffness	NOUN
fumecheng-12165	190	24	of	of	ADP
fumecheng-12165	190	25	the	the	DET
fumecheng-12165	190	26	ve	ve	NOUN
fumecheng-12165	190	27	core	core	NOUN
fumecheng-12165	190	28	is	be	AUX
fumecheng-12165	190	29	almost	almost	ADV
fumecheng-12165	190	30	negligible	negligible	ADJ
fumecheng-12165	190	31	compared	compare	VERB
fumecheng-12165	190	32	to	to	ADP
fumecheng-12165	190	33	stiffness	stiffness	NOUN
fumecheng-12165	190	34	of	of	ADP
fumecheng-12165	190	35	the	the	DET
fumecheng-12165	190	36	elastic	elastic	ADJ
fumecheng-12165	190	37	layers	layer	NOUN
fumecheng-12165	190	38	.	.	PUNCT
fumecheng-12165	191	1	accordingly	accordingly	ADV
fumecheng-12165	191	2	,	,	PUNCT
fumecheng-12165	191	3	the	the	DET
fumecheng-12165	191	4	effect	effect	NOUN
fumecheng-12165	191	5	of	of	ADP
fumecheng-12165	191	6	the	the	DET
fumecheng-12165	191	7	additional	additional	ADJ
fumecheng-12165	191	8	mass	mass	NOUN
fumecheng-12165	191	9	on	on	ADP
fumecheng-12165	191	10	the	the	DET
fumecheng-12165	191	11	natural	natural	ADJ
fumecheng-12165	191	12	frequency	frequency	NOUN
fumecheng-12165	191	13	is	be	AUX
fumecheng-12165	191	14	much	much	ADV
fumecheng-12165	191	15	greater	great	ADJ
fumecheng-12165	191	16	than	than	ADP
fumecheng-12165	191	17	the	the	DET
fumecheng-12165	191	18	effect	effect	NOUN
fumecheng-12165	191	19	the	the	DET
fumecheng-12165	191	20	additional	additional	ADJ
fumecheng-12165	191	21	stiffness	stiffness	NOUN
fumecheng-12165	191	22	.	.	PUNCT
fumecheng-12165	192	1	for	for	ADP
fumecheng-12165	192	2	the	the	DET
fumecheng-12165	192	3	sake	sake	NOUN
fumecheng-12165	192	4	of	of	ADP
fumecheng-12165	192	5	comparison	comparison	NOUN
fumecheng-12165	192	6	,	,	PUNCT
fumecheng-12165	192	7	the	the	DET
fumecheng-12165	192	8	first	first	ADJ
fumecheng-12165	192	9	six	six	NUM
fumecheng-12165	192	10	natural	natural	ADJ
fumecheng-12165	192	11	frequencies	frequency	NOUN
fumecheng-12165	192	12	and	and	CCONJ
fumecheng-12165	192	13	normalized	normalize	VERB
fumecheng-12165	192	14	loss	loss	NOUN
fumecheng-12165	192	15	factor	factor	NOUN
fumecheng-12165	192	16	of	of	ADP
fumecheng-12165	192	17	ve	ve	VERB
fumecheng-12165	192	18	sandwich	sandwich	NOUN
fumecheng-12165	192	19	beam	beam	NOUN
fumecheng-12165	192	20	were	be	AUX
fumecheng-12165	192	21	calculated	calculate	VERB
fumecheng-12165	192	22	using	use	VERB
fumecheng-12165	192	23	three	three	NUM
fumecheng-12165	192	24	different	different	ADJ
fumecheng-12165	192	25	elements	element	NOUN
fumecheng-12165	192	26	based	base	VERB
fumecheng-12165	192	27	on	on	ADP
fumecheng-12165	192	28	shear	shear	ADJ
fumecheng-12165	192	29	energy	energy	NOUN
fumecheng-12165	192	30	consumption	consumption	NOUN
fumecheng-12165	192	31	assumption	assumption	NOUN
fumecheng-12165	192	32	when	when	SCONJ
fumecheng-12165	192	33	the	the	DET
fumecheng-12165	192	34	loss	loss	NOUN
fumecheng-12165	192	35	factor	factor	NOUN
fumecheng-12165	192	36	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	192	37	[	[	X
fumecheng-12165	192	38	0.1	0.1	NUM
fumecheng-12165	192	39	,	,	PUNCT
fumecheng-12165	192	40	0.6	0.6	NUM
fumecheng-12165	192	41	,	,	PUNCT
fumecheng-12165	192	42	1.5	1.5	NUM
fumecheng-12165	192	43	]	]	PUNCT
fumecheng-12165	192	44	.	.	PUNCT
fumecheng-12165	193	1	table	table	NOUN
fumecheng-12165	193	2	2	2	NUM
fumecheng-12165	193	3	mesh	mesh	NOUN
fumecheng-12165	193	4	specifications	specification	NOUN
fumecheng-12165	193	5	of	of	ADP
fumecheng-12165	193	6	cps8	cps8	NOUN
fumecheng-12165	193	7	and	and	CCONJ
fumecheng-12165	193	8	c3d20	c3d20	VERB
fumecheng-12165	193	9	elements	element	NOUN
fumecheng-12165	193	10	implemented	implement	VERB
fumecheng-12165	193	11	in	in	ADP
fumecheng-12165	193	12	abaqus	abaqus	PROPN
fumecheng-12165	193	13	element	element	NOUN
fumecheng-12165	193	14	description	description	NOUN
fumecheng-12165	193	15	schematic	schematic	ADJ
fumecheng-12165	193	16	ndof	ndof	NOUN
fumecheng-12165	193	17	/	/	SYM
fumecheng-12165	193	18	node	node	NOUN
fumecheng-12165	193	19	cps8	cps8	NOUN
fumecheng-12165	193	20	▪	▪	ADV
fumecheng-12165	193	21	continuum	continuum	ADJ
fumecheng-12165	193	22	biquadratic	biquadratic	NOUN
fumecheng-12165	193	23	.	.	PUNCT
fumecheng-12165	194	1	▪	▪	ADJ
fumecheng-12165	194	2	8	8	NUM
fumecheng-12165	194	3	-	-	PUNCT
fumecheng-12165	194	4	nodes	node	NOUN
fumecheng-12165	194	5	.	.	PUNCT
fumecheng-12165	195	1	▪	▪	ADJ
fumecheng-12165	195	2	plane	plane	NOUN
fumecheng-12165	195	3	stress	stress	NOUN
fumecheng-12165	195	4	2	2	NUM
fumecheng-12165	195	5	translations	translation	NOUN
fumecheng-12165	195	6	c3d20	c3d20	VERB
fumecheng-12165	195	7	▪	▪	ADV
fumecheng-12165	195	8	continuum	continuum	ADJ
fumecheng-12165	195	9	quadratic	quadratic	ADJ
fumecheng-12165	195	10	brick	brick	NOUN
fumecheng-12165	195	11	.	.	PUNCT
fumecheng-12165	196	1	▪	▪	NOUN
fumecheng-12165	196	2	20	20	NUM
fumecheng-12165	196	3	-	-	PUNCT
fumecheng-12165	196	4	nodes	node	NOUN
fumecheng-12165	196	5	.	.	PUNCT
fumecheng-12165	197	1	3	3	NUM
fumecheng-12165	197	2	translations	translation	NOUN
fumecheng-12165	197	3	table	table	NOUN
fumecheng-12165	197	4	3	3	NUM
fumecheng-12165	197	5	shows	show	VERB
fumecheng-12165	197	6	that	that	SCONJ
fumecheng-12165	197	7	fe	fe	ADJ
fumecheng-12165	197	8	shear	shear	NOUN
fumecheng-12165	197	9	models	model	NOUN
fumecheng-12165	197	10	,	,	PUNCT
fumecheng-12165	197	11	real	real	ADJ
fumecheng-12165	197	12	eigenmodes	eigenmode	NOUN
fumecheng-12165	197	13	(	(	PUNCT
fumecheng-12165	197	14	rm	rm	NOUN
fumecheng-12165	197	15	)	)	PUNCT
fumecheng-12165	197	16	and	and	CCONJ
fumecheng-12165	197	17	asymptotic	asymptotic	ADJ
fumecheng-12165	197	18	numerical	numerical	ADJ
fumecheng-12165	197	19	method	method	NOUN
fumecheng-12165	197	20	(	(	PUNCT
fumecheng-12165	197	21	anm	anm	INTJ
fumecheng-12165	197	22	)	)	PUNCT
fumecheng-12165	197	23	all	all	PRON
fumecheng-12165	197	24	had	have	VERB
fumecheng-12165	197	25	good	good	ADJ
fumecheng-12165	197	26	accuracy	accuracy	NOUN
fumecheng-12165	197	27	in	in	ADP
fumecheng-12165	197	28	calculating	calculate	VERB
fumecheng-12165	197	29	the	the	DET
fumecheng-12165	197	30	first	first	ADJ
fumecheng-12165	197	31	six	six	NUM
fumecheng-12165	197	32	natural	natural	ADJ
fumecheng-12165	197	33	frequency	frequency	NOUN
fumecheng-12165	197	34	of	of	ADP
fumecheng-12165	197	35	ve	ve	VERB
fumecheng-12165	197	36	sandwich	sandwich	NOUN
fumecheng-12165	197	37	beam	beam	NOUN
fumecheng-12165	197	38	under	under	ADP
fumecheng-12165	197	39	c	c	PROPN
fumecheng-12165	197	40	-	-	PUNCT
fumecheng-12165	197	41	f	f	NOUN
fumecheng-12165	197	42	boundary	boundary	ADJ
fumecheng-12165	197	43	condition	condition	NOUN
fumecheng-12165	197	44	against	against	ADP
fumecheng-12165	197	45	the	the	DET
fumecheng-12165	197	46	analytical	analytical	ADJ
fumecheng-12165	197	47	solution	solution	NOUN
fumecheng-12165	197	48	[	[	X
fumecheng-12165	197	49	34	34	NUM
fumecheng-12165	197	50	]	]	PUNCT
fumecheng-12165	197	51	.	.	PUNCT
fumecheng-12165	198	1	table	table	NOUN
fumecheng-12165	198	2	4	4	NUM
fumecheng-12165	198	3	shows	show	NOUN
fumecheng-12165	198	4	normalized	normalize	VERB
fumecheng-12165	198	5	loss	loss	NOUN
fumecheng-12165	198	6	factor	factor	NOUN
fumecheng-12165	198	7	of	of	ADP
fumecheng-12165	198	8	c	c	PROPN
fumecheng-12165	198	9	-	-	PUNCT
fumecheng-12165	198	10	f	f	NOUN
fumecheng-12165	198	11	ve	ve	VERB
fumecheng-12165	198	12	sandwich	sandwich	NOUN
fumecheng-12165	198	13	beam	beam	NOUN
fumecheng-12165	198	14	with	with	ADP
fumecheng-12165	198	15	different	different	ADJ
fumecheng-12165	198	16	𝜂𝑣.	𝜂𝑣.	NOUN
fumecheng-12165	198	17	in	in	ADP
fumecheng-12165	198	18	comparison	comparison	NOUN
fumecheng-12165	198	19	,	,	PUNCT
fumecheng-12165	198	20	the	the	DET
fumecheng-12165	198	21	accuracy	accuracy	NOUN
fumecheng-12165	198	22	of	of	ADP
fumecheng-12165	198	23	fe	fe	PROPN
fumecheng-12165	198	24	shear	shear	PROPN
fumecheng-12165	198	25	model	model	NOUN
fumecheng-12165	198	26	was	be	AUX
fumecheng-12165	198	27	the	the	DET
fumecheng-12165	198	28	highest	high	ADJ
fumecheng-12165	198	29	compared	compare	VERB
fumecheng-12165	198	30	with	with	ADP
fumecheng-12165	198	31	the	the	DET
fumecheng-12165	198	32	analytical	analytical	ADJ
fumecheng-12165	198	33	method	method	NOUN
fumecheng-12165	198	34	[	[	X
fumecheng-12165	198	35	34	34	NUM
fumecheng-12165	198	36	]	]	PUNCT
fumecheng-12165	198	37	,	,	PUNCT
fumecheng-12165	198	38	the	the	DET
fumecheng-12165	198	39	error	error	NOUN
fumecheng-12165	198	40	range	range	NOUN
fumecheng-12165	198	41	was	be	AUX
fumecheng-12165	198	42	0	0	NUM
fumecheng-12165	198	43	-	-	SYM
fumecheng-12165	198	44	0.15	0.15	NUM
fumecheng-12165	198	45	%	%	NOUN
fumecheng-12165	198	46	followed	follow	VERB
fumecheng-12165	198	47	by	by	ADP
fumecheng-12165	198	48	c3d20	c3d20	PROPN
fumecheng-12165	198	49	element	element	NOUN
fumecheng-12165	198	50	with	with	ADP
fumecheng-12165	198	51	an	an	DET
fumecheng-12165	198	52	error	error	NOUN
fumecheng-12165	198	53	range	range	NOUN
fumecheng-12165	198	54	of	of	ADP
fumecheng-12165	198	55	0	0	NUM
fumecheng-12165	198	56	-	-	SYM
fumecheng-12165	198	57	5.918	5.918	NUM
fumecheng-12165	198	58	%	%	NOUN
fumecheng-12165	198	59	and	and	CCONJ
fumecheng-12165	198	60	an	an	DET
fumecheng-12165	198	61	average	average	ADJ
fumecheng-12165	198	62	error	error	NOUN
fumecheng-12165	198	63	of	of	ADP
fumecheng-12165	198	64	0.2	0.2	NUM
fumecheng-12165	198	65	%	%	NOUN
fumecheng-12165	198	66	;	;	PUNCT
fumecheng-12165	198	67	cps8	cps8	NOUN
fumecheng-12165	198	68	element	element	NOUN
fumecheng-12165	198	69	was	be	AUX
fumecheng-12165	198	70	the	the	DET
fumecheng-12165	198	71	third	third	ADJ
fumecheng-12165	198	72	with	with	ADP
fumecheng-12165	198	73	an	an	DET
fumecheng-12165	198	74	error	error	NOUN
fumecheng-12165	198	75	range	range	NOUN
fumecheng-12165	198	76	of	of	ADP
fumecheng-12165	198	77	0	0	NUM
fumecheng-12165	198	78	-	-	SYM
fumecheng-12165	198	79	6.565	6.565	NUM
fumecheng-12165	198	80	%	%	NOUN
fumecheng-12165	198	81	and	and	CCONJ
fumecheng-12165	198	82	an	an	DET
fumecheng-12165	198	83	average	average	ADJ
fumecheng-12165	198	84	error	error	NOUN
fumecheng-12165	198	85	of	of	ADP
fumecheng-12165	198	86	0.858	0.858	NUM
fumecheng-12165	198	87	%	%	NOUN
fumecheng-12165	198	88	and	and	CCONJ
fumecheng-12165	198	89	rm	rm	PROPN
fumecheng-12165	198	90	method	method	NOUN
fumecheng-12165	198	91	had	have	VERB
fumecheng-12165	198	92	the	the	DET
fumecheng-12165	198	93	lowest	low	ADJ
fumecheng-12165	198	94	accuracy	accuracy	NOUN
fumecheng-12165	198	95	,	,	PUNCT
fumecheng-12165	198	96	with	with	ADP
fumecheng-12165	198	97	the	the	DET
fumecheng-12165	198	98	lowest	low	ADJ
fumecheng-12165	198	99	error	error	NOUN
fumecheng-12165	198	100	value	value	NOUN
fumecheng-12165	198	101	of	of	ADP
fumecheng-12165	198	102	0	0	NUM
fumecheng-12165	198	103	%	%	NOUN
fumecheng-12165	198	104	,	,	PUNCT
fumecheng-12165	198	105	the	the	DET
fumecheng-12165	198	106	highest	high	ADJ
fumecheng-12165	198	107	error	error	NOUN
fumecheng-12165	198	108	value	value	NOUN
fumecheng-12165	198	109	of	of	ADP
fumecheng-12165	198	110	8.892	8.892	NUM
fumecheng-12165	198	111	%	%	NOUN
fumecheng-12165	198	112	and	and	CCONJ
fumecheng-12165	198	113	an	an	DET
fumecheng-12165	198	114	average	average	ADJ
fumecheng-12165	198	115	error	error	NOUN
fumecheng-12165	198	116	of	of	ADP
fumecheng-12165	198	117	0.97	0.97	NUM
fumecheng-12165	198	118	%	%	NOUN
fumecheng-12165	198	119	.	.	PUNCT
fumecheng-12165	199	1	602	602	NUM
fumecheng-12165	199	2	y.	y.	PROPN
fumecheng-12165	199	3	elmoghazy	elmoghazy	PROPN
fumecheng-12165	199	4	,	,	PUNCT
fumecheng-12165	199	5	b.	b.	PROPN
fumecheng-12165	199	6	safaei	safaei	PROPN
fumecheng-12165	199	7	,	,	PUNCT
fumecheng-12165	199	8	s.	s.	PROPN
fumecheng-12165	199	9	sahmani	sahmani	PROPN
fumecheng-12165	199	10	although	although	SCONJ
fumecheng-12165	199	11	rm	rm	PROPN
fumecheng-12165	199	12	approach	approach	NOUN
fumecheng-12165	199	13	had	have	VERB
fumecheng-12165	199	14	a	a	DET
fumecheng-12165	199	15	slightly	slightly	ADV
fumecheng-12165	199	16	higher	high	ADJ
fumecheng-12165	199	17	average	average	ADJ
fumecheng-12165	199	18	error	error	NOUN
fumecheng-12165	199	19	than	than	ADP
fumecheng-12165	199	20	anm	anm	PROPN
fumecheng-12165	199	21	method	method	PROPN
fumecheng-12165	199	22	,	,	PUNCT
fumecheng-12165	199	23	rm	rm	PROPN
fumecheng-12165	199	24	method	method	NOUN
fumecheng-12165	199	25	could	could	AUX
fumecheng-12165	199	26	not	not	PART
fumecheng-12165	199	27	be	be	AUX
fumecheng-12165	199	28	deemed	deem	VERB
fumecheng-12165	199	29	accurate	accurate	ADJ
fumecheng-12165	199	30	.	.	PUNCT
fumecheng-12165	200	1	because	because	SCONJ
fumecheng-12165	200	2	rm	rm	PROPN
fumecheng-12165	200	3	approach	approach	NOUN
fumecheng-12165	200	4	only	only	ADV
fumecheng-12165	200	5	considers	consider	VERB
fumecheng-12165	200	6	the	the	DET
fumecheng-12165	200	7	real	real	ADJ
fumecheng-12165	200	8	part	part	NOUN
fumecheng-12165	200	9	of	of	ADP
fumecheng-12165	200	10	natural	natural	ADJ
fumecheng-12165	200	11	frequency	frequency	NOUN
fumecheng-12165	200	12	,	,	PUNCT
fumecheng-12165	200	13	which	which	PRON
fumecheng-12165	200	14	contradicts	contradict	VERB
fumecheng-12165	200	15	reality	reality	NOUN
fumecheng-12165	200	16	.	.	PUNCT
fumecheng-12165	201	1	although	although	SCONJ
fumecheng-12165	201	2	the	the	DET
fumecheng-12165	201	3	prediction	prediction	NOUN
fumecheng-12165	201	4	results	result	NOUN
fumecheng-12165	201	5	of	of	ADP
fumecheng-12165	201	6	natural	natural	ADJ
fumecheng-12165	201	7	frequency	frequency	NOUN
fumecheng-12165	201	8	by	by	ADP
fumecheng-12165	201	9	rm	rm	NOUN
fumecheng-12165	201	10	method	method	NOUN
fumecheng-12165	201	11	were	be	AUX
fumecheng-12165	201	12	close	close	ADJ
fumecheng-12165	201	13	to	to	ADP
fumecheng-12165	201	14	analytical	analytical	ADJ
fumecheng-12165	201	15	solutions	solution	NOUN
fumecheng-12165	201	16	when	when	SCONJ
fumecheng-12165	201	17	the	the	DET
fumecheng-12165	201	18	loss	loss	NOUN
fumecheng-12165	201	19	factor	factor	NOUN
fumecheng-12165	201	20	𝜂𝑣	𝜂𝑣	CCONJ
fumecheng-12165	201	21	was	be	AUX
fumecheng-12165	201	22	small	small	ADJ
fumecheng-12165	201	23	but	but	CCONJ
fumecheng-12165	201	24	when	when	SCONJ
fumecheng-12165	201	25	the	the	DET
fumecheng-12165	201	26	loss	loss	NOUN
fumecheng-12165	201	27	factor	factor	NOUN
fumecheng-12165	201	28	𝜂𝑣	𝜂𝑣	CCONJ
fumecheng-12165	201	29	was	be	AUX
fumecheng-12165	201	30	increased	increase	VERB
fumecheng-12165	201	31	to	to	ADP
fumecheng-12165	201	32	1.5	1.5	NUM
fumecheng-12165	201	33	,	,	PUNCT
fumecheng-12165	201	34	the	the	DET
fumecheng-12165	201	35	prediction	prediction	NOUN
fumecheng-12165	201	36	error	error	NOUN
fumecheng-12165	201	37	of	of	ADP
fumecheng-12165	201	38	natural	natural	ADJ
fumecheng-12165	201	39	frequency	frequency	NOUN
fumecheng-12165	201	40	reached	reach	VERB
fumecheng-12165	201	41	8.892	8.892	NUM
fumecheng-12165	201	42	%	%	NOUN
fumecheng-12165	201	43	.	.	PUNCT
fumecheng-12165	202	1	on	on	ADP
fumecheng-12165	202	2	the	the	DET
fumecheng-12165	202	3	other	other	ADJ
fumecheng-12165	202	4	hand	hand	NOUN
fumecheng-12165	202	5	,	,	PUNCT
fumecheng-12165	202	6	the	the	DET
fumecheng-12165	202	7	prediction	prediction	NOUN
fumecheng-12165	202	8	error	error	NOUN
fumecheng-12165	202	9	of	of	ADP
fumecheng-12165	202	10	anm	anm	PROPN
fumecheng-12165	202	11	for	for	ADP
fumecheng-12165	202	12	natural	natural	ADJ
fumecheng-12165	202	13	frequency	frequency	NOUN
fumecheng-12165	202	14	was	be	AUX
fumecheng-12165	202	15	very	very	ADV
fumecheng-12165	202	16	consistent	consistent	ADJ
fumecheng-12165	202	17	and	and	CCONJ
fumecheng-12165	202	18	did	do	AUX
fumecheng-12165	202	19	not	not	PART
fumecheng-12165	202	20	fluctuate	fluctuate	VERB
fumecheng-12165	202	21	much	much	ADV
fumecheng-12165	202	22	,	,	PUNCT
fumecheng-12165	202	23	thus	thus	ADV
fumecheng-12165	202	24	the	the	DET
fumecheng-12165	202	25	calculated	calculated	ADJ
fumecheng-12165	202	26	loss	loss	NOUN
fumecheng-12165	202	27	factor	factor	NOUN
fumecheng-12165	202	28	of	of	ADP
fumecheng-12165	202	29	anm	anm	PROPN
fumecheng-12165	202	30	for	for	ADP
fumecheng-12165	202	31	natural	natural	ADJ
fumecheng-12165	202	32	frequency	frequency	NOUN
fumecheng-12165	202	33	was	be	AUX
fumecheng-12165	202	34	generally	generally	ADV
fumecheng-12165	202	35	accurate	accurate	ADJ
fumecheng-12165	202	36	.	.	PUNCT
fumecheng-12165	203	1	as	as	ADP
fumecheng-12165	203	2	a	a	DET
fumecheng-12165	203	3	result	result	NOUN
fumecheng-12165	203	4	,	,	PUNCT
fumecheng-12165	203	5	the	the	DET
fumecheng-12165	203	6	prediction	prediction	NOUN
fumecheng-12165	203	7	accuracies	accuracy	NOUN
fumecheng-12165	203	8	of	of	ADP
fumecheng-12165	203	9	the	the	DET
fumecheng-12165	203	10	five	five	NUM
fumecheng-12165	203	11	numerical	numerical	ADJ
fumecheng-12165	203	12	approaches	approach	NOUN
fumecheng-12165	203	13	for	for	ADP
fumecheng-12165	203	14	the	the	DET
fumecheng-12165	203	15	natural	natural	ADJ
fumecheng-12165	203	16	frequency	frequency	NOUN
fumecheng-12165	203	17	of	of	ADP
fumecheng-12165	203	18	c	c	PROPN
fumecheng-12165	203	19	-	-	PUNCT
fumecheng-12165	203	20	f	f	NOUN
fumecheng-12165	203	21	ve	ve	VERB
fumecheng-12165	203	22	sandwich	sandwich	NOUN
fumecheng-12165	203	23	beam	beam	NOUN
fumecheng-12165	203	24	in	in	ADP
fumecheng-12165	203	25	this	this	DET
fumecheng-12165	203	26	work	work	NOUN
fumecheng-12165	203	27	were	be	AUX
fumecheng-12165	203	28	ranked	rank	VERB
fumecheng-12165	203	29	as	as	SCONJ
fumecheng-12165	203	30	follows	follow	VERB
fumecheng-12165	203	31	:	:	PUNCT
fumecheng-12165	203	32	integral	integral	ADJ
fumecheng-12165	203	33	shear	shear	NOUN
fumecheng-12165	203	34	element	element	NOUN
fumecheng-12165	203	35	>	>	X
fumecheng-12165	203	36	c3d20	c3d20	VERB
fumecheng-12165	203	37	>	>	X
fumecheng-12165	203	38	cps8	cps8	PROPN
fumecheng-12165	203	39	>	>	X
fumecheng-12165	203	40	anm	anm	PROPN
fumecheng-12165	203	41	>	>	X
fumecheng-12165	203	42	rm	rm	PROPN
fumecheng-12165	203	43	.	.	PROPN
fumecheng-12165	203	44	table	table	NOUN
fumecheng-12165	203	45	3	3	NUM
fumecheng-12165	203	46	linear	linear	ADJ
fumecheng-12165	203	47	frequencies	frequency	NOUN
fumecheng-12165	203	48	of	of	ADP
fumecheng-12165	203	49	the	the	DET
fumecheng-12165	203	50	c	c	PROPN
fumecheng-12165	203	51	-	-	PUNCT
fumecheng-12165	203	52	f	f	NOUN
fumecheng-12165	203	53	ve	ve	VERB
fumecheng-12165	203	54	sandwich	sandwich	NOUN
fumecheng-12165	203	55	beam	beam	NOUN
fumecheng-12165	203	56	with	with	ADP
fumecheng-12165	203	57	different	different	ADJ
fumecheng-12165	203	58	𝜼𝒗	𝜼𝒗	PROPN
fumecheng-12165	203	59	𝜼𝒗	𝜼𝒗	ADJ
fumecheng-12165	203	60	analytical	analytical	ADJ
fumecheng-12165	203	61	[	[	X
fumecheng-12165	203	62	34	34	NUM
fumecheng-12165	203	63	]	]	X
fumecheng-12165	203	64	cps8	cps8	PROPN
fumecheng-12165	203	65	fe	fe	PROPN
fumecheng-12165	203	66	model	model	PROPN
fumecheng-12165	203	67	rm	rm	PROPN
fumecheng-12165	204	1	[	[	X
fumecheng-12165	204	2	35	35	NUM
fumecheng-12165	204	3	]	]	X
fumecheng-12165	204	4	c3d20	c3d20	VERB
fumecheng-12165	204	5	anm	anm	INTJ
fumecheng-12165	205	1	[	[	X
fumecheng-12165	205	2	36	36	NUM
fumecheng-12165	205	3	]	]	X
fumecheng-12165	205	4	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	PROPN
fumecheng-12165	205	5	)	)	PUNCT
fumecheng-12165	205	6	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	VERB
fumecheng-12165	205	7	)	)	PUNCT
fumecheng-12165	205	8	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	VERB
fumecheng-12165	205	9	)	)	PUNCT
fumecheng-12165	205	10	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	VERB
fumecheng-12165	205	11	)	)	PUNCT
fumecheng-12165	205	12	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	VERB
fumecheng-12165	205	13	)	)	PUNCT
fumecheng-12165	205	14	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	PROPN
fumecheng-12165	205	15	)	)	PUNCT
fumecheng-12165	205	16	0.1	0.1	NUM
fumecheng-12165	205	17	64.1	64.1	NUM
fumecheng-12165	205	18	64.1	64.1	NUM
fumecheng-12165	205	19	64.1	64.1	NUM
fumecheng-12165	205	20	64.1	64.1	NUM
fumecheng-12165	205	21	64.5	64.5	NUM
fumecheng-12165	205	22	64.5	64.5	NUM
fumecheng-12165	205	23	296.4	296.4	NUM
fumecheng-12165	205	24	296.5	296.5	NUM
fumecheng-12165	205	25	296.3	296.3	NUM
fumecheng-12165	205	26	296.6	296.6	NUM
fumecheng-12165	205	27	298.6	298.6	NUM
fumecheng-12165	205	28	298.9	298.9	NUM
fumecheng-12165	205	29	743.7	743.7	NUM
fumecheng-12165	205	30	743.6	743.6	NUM
fumecheng-12165	205	31	743.4	743.4	NUM
fumecheng-12165	205	32	744.3	744.3	NUM
fumecheng-12165	205	33	750.1	750.1	NUM
fumecheng-12165	205	34	746.5	746.5	NUM
fumecheng-12165	205	35	1393.9	1393.9	NUM
fumecheng-12165	205	36	1392.6	1392.6	NUM
fumecheng-12165	205	37	1393.4	1393.4	NUM
fumecheng-12165	205	38	1395.2	1395.2	NUM
fumecheng-12165	205	39	1408.3	1408.3	NUM
fumecheng-12165	205	40	1407.7	1407.7	NUM
fumecheng-12165	205	41	2261.1	2261.1	NUM
fumecheng-12165	205	42	2256.7	2256.7	NUM
fumecheng-12165	205	43	2260.2	2260.2	NUM
fumecheng-12165	205	44	2263.4	2263.4	NUM
fumecheng-12165	205	45	2288.4	2288.4	NUM
fumecheng-12165	205	46	2286.2	2286.2	NUM
fumecheng-12165	205	47	3343.6	3343.6	NUM
fumecheng-12165	205	48	3332.8	3332.8	NUM
fumecheng-12165	205	49	3342.3	3342.3	NUM
fumecheng-12165	205	50	3347.3	3347.3	NUM
fumecheng-12165	205	51	3388.7	3388.7	NUM
fumecheng-12165	205	52	3385.7	3385.7	NUM
fumecheng-12165	205	53	0.6	0.6	NUM
fumecheng-12165	205	54	65.5	65.5	NUM
fumecheng-12165	205	55	64.3	64.3	NUM
fumecheng-12165	205	56	65.4	65.4	NUM
fumecheng-12165	205	57	64.1	64.1	NUM
fumecheng-12165	205	58	64.7	64.7	NUM
fumecheng-12165	205	59	65.9	65.9	NUM
fumecheng-12165	205	60	298.9	298.9	NUM
fumecheng-12165	205	61	297.4	297.4	NUM
fumecheng-12165	205	62	298.8	298.8	NUM
fumecheng-12165	205	63	296.6	296.6	NUM
fumecheng-12165	205	64	299.5	299.5	NUM
fumecheng-12165	205	65	303.1	303.1	NUM
fumecheng-12165	205	66	745.5	745.5	NUM
fumecheng-12165	205	67	744.5	744.5	NUM
fumecheng-12165	205	68	745.2	745.2	NUM
fumecheng-12165	205	69	744.3	744.3	NUM
fumecheng-12165	205	70	751	751	NUM
fumecheng-12165	205	71	752.3	752.3	NUM
fumecheng-12165	205	72	1394.9	1394.9	NUM
fumecheng-12165	205	73	1393.1	1393.1	NUM
fumecheng-12165	205	74	1394.3	1394.3	NUM
fumecheng-12165	205	75	1395.2	1395.2	NUM
fumecheng-12165	205	76	1409	1409	NUM
fumecheng-12165	205	77	1412.7	1412.7	NUM
fumecheng-12165	205	78	2261.7	2261.7	NUM
fumecheng-12165	205	79	2257	2257	NUM
fumecheng-12165	205	80	2260.8	2260.8	NUM
fumecheng-12165	205	81	2263.4	2263.4	NUM
fumecheng-12165	205	82	2289	2289	NUM
fumecheng-12165	205	83	2290.6	2290.6	NUM
fumecheng-12165	205	84	3344	3344	NUM
fumecheng-12165	205	85	3333	3333	NUM
fumecheng-12165	205	86	3342.6	3342.6	NUM
fumecheng-12165	205	87	3374.3	3374.3	NUM
fumecheng-12165	205	88	3389	3389	NUM
fumecheng-12165	205	89	3389.5	3389.5	NUM
fumecheng-12165	205	90	1	1	NUM
fumecheng-12165	205	91	67.4	67.4	NUM
fumecheng-12165	205	92	64.7	64.7	NUM
fumecheng-12165	205	93	67.4	67.4	NUM
fumecheng-12165	205	94	64.1	64.1	NUM
fumecheng-12165	205	95	65.1	65.1	NUM
fumecheng-12165	205	96	67.8	67.8	NUM
fumecheng-12165	205	97	302.8	302.8	NUM
fumecheng-12165	205	98	299.1	299.1	NUM
fumecheng-12165	205	99	302.7	302.7	NUM
fumecheng-12165	205	100	296.6	296.6	NUM
fumecheng-12165	205	101	301	301	NUM
fumecheng-12165	205	102	309.1	309.1	NUM
fumecheng-12165	205	103	748.6	748.6	NUM
fumecheng-12165	205	104	746.1	746.1	NUM
fumecheng-12165	205	105	748.4	748.4	NUM
fumecheng-12165	205	106	744.3	744.3	NUM
fumecheng-12165	205	107	753	753	NUM
fumecheng-12165	205	108	761.1	761.1	NUM
fumecheng-12165	205	109	1396.6	1396.6	NUM
fumecheng-12165	205	110	1394	1394	NUM
fumecheng-12165	205	111	1396	1396	NUM
fumecheng-12165	205	112	1395.2	1395.2	NUM
fumecheng-12165	205	113	1410	1410	NUM
fumecheng-12165	205	114	1420.6	1420.6	NUM
fumecheng-12165	205	115	2262.8	2262.8	NUM
fumecheng-12165	205	116	2257.6	2257.6	NUM
fumecheng-12165	205	117	2261.9	2261.9	NUM
fumecheng-12165	205	118	2263.4	2263.4	NUM
fumecheng-12165	205	119	2289	2289	NUM
fumecheng-12165	205	120	2297.9	2297.9	NUM
fumecheng-12165	205	121	3345	3345	NUM
fumecheng-12165	205	122	3333.3	3333.3	NUM
fumecheng-12165	205	123	3343.4	3343.4	NUM
fumecheng-12165	205	124	3374.3	3374.3	NUM
fumecheng-12165	205	125	3389	3389	NUM
fumecheng-12165	205	126	3395.9	3395.9	NUM
fumecheng-12165	205	127	1.5	1.5	NUM
fumecheng-12165	205	128	69.8	69.8	NUM
fumecheng-12165	205	129	65.5	65.5	NUM
fumecheng-12165	205	130	69.9	69.9	NUM
fumecheng-12165	205	131	64.1	64.1	NUM
fumecheng-12165	205	132	65.9	65.9	NUM
fumecheng-12165	205	133	67.8	67.8	NUM
fumecheng-12165	205	134	308.8	308.8	NUM
fumecheng-12165	205	135	302.3	302.3	NUM
fumecheng-12165	205	136	308.7	308.7	NUM
fumecheng-12165	205	137	296.6	296.6	NUM
fumecheng-12165	205	138	304	304	NUM
fumecheng-12165	205	139	309.1	309.1	NUM
fumecheng-12165	205	140	754	754	NUM
fumecheng-12165	205	141	749	749	NUM
fumecheng-12165	205	142	754.2	754.2	NUM
fumecheng-12165	205	143	744.3	744.3	NUM
fumecheng-12165	205	144	756	756	NUM
fumecheng-12165	205	145	761.1	761.1	NUM
fumecheng-12165	205	146	1399.7	1399.7	NUM
fumecheng-12165	205	147	1395.8	1395.8	NUM
fumecheng-12165	205	148	1399.1	1399.1	NUM
fumecheng-12165	205	149	1395.2	1395.2	NUM
fumecheng-12165	205	150	1412	1412	NUM
fumecheng-12165	205	151	1420.6	1420.6	NUM
fumecheng-12165	205	152	2265	2265	NUM
fumecheng-12165	205	153	2258.7	2258.7	NUM
fumecheng-12165	205	154	2264.1	2264.1	NUM
fumecheng-12165	205	155	2263.4	2263.4	NUM
fumecheng-12165	205	156	2290	2290	NUM
fumecheng-12165	205	157	2297.9	2297.9	NUM
fumecheng-12165	205	158	3346	3346	NUM
fumecheng-12165	205	159	3333.9	3333.9	NUM
fumecheng-12165	205	160	3344.7	3344.7	NUM
fumecheng-12165	205	161	3374.3	3374.3	NUM
fumecheng-12165	205	162	3390	3390	NUM
fumecheng-12165	205	163	3395.9	3395.9	NUM
fumecheng-12165	205	164	average	average	ADJ
fumecheng-12165	205	165	error	error	NOUN
fumecheng-12165	205	166	(	(	PUNCT
fumecheng-12165	205	167	%	%	INTJ
fumecheng-12165	205	168	)	)	PUNCT
fumecheng-12165	206	1	≈	≈	NOUN
fumecheng-12165	206	2	0.858	0.858	NUM
fumecheng-12165	206	3	0.03	0.03	NUM
fumecheng-12165	206	4	0.94	0.94	NUM
fumecheng-12165	206	5	0.2	0.2	NUM
fumecheng-12165	206	6	0.97	0.97	NUM
fumecheng-12165	206	7	603	603	NUM
fumecheng-12165	206	8	dynamics	dynamic	NOUN
fumecheng-12165	206	9	analysis	analysis	NOUN
fumecheng-12165	206	10	of	of	ADP
fumecheng-12165	206	11	viscoelastic	viscoelastic	NOUN
fumecheng-12165	206	12	sandwiched	sandwich	VERB
fumecheng-12165	206	13	structures	structure	NOUN
fumecheng-12165	206	14	integrated	integrate	VERB
fumecheng-12165	206	15	with	with	ADP
fumecheng-12165	206	16	aluminum	aluminum	NOUN
fumecheng-12165	206	17	sheets	sheet	NOUN
fumecheng-12165	206	18	table	table	NOUN
fumecheng-12165	206	19	4	4	NUM
fumecheng-12165	206	20	shows	show	VERB
fumecheng-12165	206	21	that	that	SCONJ
fumecheng-12165	206	22	the	the	DET
fumecheng-12165	206	23	accuracy	accuracy	NOUN
fumecheng-12165	206	24	of	of	ADP
fumecheng-12165	206	25	the	the	DET
fumecheng-12165	206	26	fe	fe	PROPN
fumecheng-12165	206	27	shear	shear	NOUN
fumecheng-12165	206	28	element	element	NOUN
fumecheng-12165	206	29	models	model	NOUN
fumecheng-12165	206	30	implemented	implement	VERB
fumecheng-12165	206	31	in	in	ADP
fumecheng-12165	206	32	this	this	DET
fumecheng-12165	206	33	study	study	NOUN
fumecheng-12165	206	34	is	be	AUX
fumecheng-12165	206	35	very	very	ADV
fumecheng-12165	206	36	high	high	ADJ
fumecheng-12165	206	37	in	in	ADP
fumecheng-12165	206	38	predicting	predict	VERB
fumecheng-12165	206	39	model	model	NOUN
fumecheng-12165	206	40	loss	loss	NOUN
fumecheng-12165	206	41	factor	factor	NOUN
fumecheng-12165	206	42	for	for	ADP
fumecheng-12165	206	43	the	the	DET
fumecheng-12165	206	44	first	first	ADJ
fumecheng-12165	206	45	six	six	NUM
fumecheng-12165	206	46	modes	mode	NOUN
fumecheng-12165	206	47	of	of	ADP
fumecheng-12165	206	48	ve	ve	VERB
fumecheng-12165	206	49	sandwich	sandwich	NOUN
fumecheng-12165	206	50	beam	beam	NOUN
fumecheng-12165	206	51	structure	structure	NOUN
fumecheng-12165	206	52	.	.	PUNCT
fumecheng-12165	207	1	with	with	ADP
fumecheng-12165	207	2	an	an	DET
fumecheng-12165	207	3	error	error	NOUN
fumecheng-12165	207	4	range	range	NOUN
fumecheng-12165	207	5	of	of	ADP
fumecheng-12165	207	6	0	0	NUM
fumecheng-12165	207	7	%	%	NOUN
fumecheng-12165	207	8	to	to	ADP
fumecheng-12165	207	9	11.45	11.45	NUM
fumecheng-12165	207	10	%	%	NOUN
fumecheng-12165	207	11	and	and	CCONJ
fumecheng-12165	207	12	an	an	DET
fumecheng-12165	207	13	average	average	ADJ
fumecheng-12165	207	14	error	error	NOUN
fumecheng-12165	207	15	of	of	ADP
fumecheng-12165	207	16	2.38	2.38	NUM
fumecheng-12165	207	17	%	%	NOUN
fumecheng-12165	207	18	,	,	PUNCT
fumecheng-12165	207	19	anm	anm	PROPN
fumecheng-12165	208	1	[	[	X
fumecheng-12165	208	2	36	36	NUM
fumecheng-12165	208	3	]	]	PUNCT
fumecheng-12165	208	4	was	be	AUX
fumecheng-12165	208	5	the	the	DET
fumecheng-12165	208	6	most	most	ADV
fumecheng-12165	208	7	accurate	accurate	ADJ
fumecheng-12165	208	8	one	one	NUM
fumecheng-12165	208	9	.	.	PUNCT
fumecheng-12165	209	1	in	in	ADP
fumecheng-12165	209	2	addition	addition	NOUN
fumecheng-12165	209	3	,	,	PUNCT
fumecheng-12165	209	4	c3d20	c3d20	PROPN
fumecheng-12165	209	5	element	element	NOUN
fumecheng-12165	209	6	had	have	VERB
fumecheng-12165	209	7	an	an	DET
fumecheng-12165	209	8	error	error	NOUN
fumecheng-12165	209	9	range	range	NOUN
fumecheng-12165	209	10	of	of	ADP
fumecheng-12165	209	11	0	0	NUM
fumecheng-12165	209	12	-	-	SYM
fumecheng-12165	209	13	14.7	14.7	NUM
fumecheng-12165	209	14	%	%	NOUN
fumecheng-12165	209	15	,	,	PUNCT
fumecheng-12165	209	16	with	with	ADP
fumecheng-12165	209	17	an	an	DET
fumecheng-12165	209	18	average	average	NOUN
fumecheng-12165	209	19	of	of	ADP
fumecheng-12165	209	20	4.19	4.19	NUM
fumecheng-12165	209	21	%	%	NOUN
fumecheng-12165	209	22	,	,	PUNCT
fumecheng-12165	209	23	which	which	PRON
fumecheng-12165	209	24	placed	place	VERB
fumecheng-12165	209	25	it	it	PRON
fumecheng-12165	209	26	second	second	ADJ
fumecheng-12165	209	27	.	.	PUNCT
fumecheng-12165	210	1	rm	rm	NOUN
fumecheng-12165	211	1	[	[	X
fumecheng-12165	211	2	35	35	NUM
fumecheng-12165	211	3	]	]	PUNCT
fumecheng-12165	211	4	,	,	PUNCT
fumecheng-12165	211	5	which	which	PRON
fumecheng-12165	211	6	had	have	VERB
fumecheng-12165	211	7	a	a	DET
fumecheng-12165	211	8	minimum	minimum	ADJ
fumecheng-12165	211	9	error	error	NOUN
fumecheng-12165	211	10	of	of	ADP
fumecheng-12165	211	11	0	0	NUM
fumecheng-12165	211	12	%	%	NOUN
fumecheng-12165	211	13	and	and	CCONJ
fumecheng-12165	211	14	a	a	DET
fumecheng-12165	211	15	maximum	maximum	ADJ
fumecheng-12165	211	16	error	error	NOUN
fumecheng-12165	211	17	of	of	ADP
fumecheng-12165	211	18	8.892	8.892	NUM
fumecheng-12165	211	19	%	%	NOUN
fumecheng-12165	211	20	,	,	PUNCT
fumecheng-12165	211	21	had	have	VERB
fumecheng-12165	211	22	the	the	DET
fumecheng-12165	211	23	lowest	low	ADJ
fumecheng-12165	211	24	accuracy	accuracy	NOUN
fumecheng-12165	211	25	.	.	PUNCT
fumecheng-12165	212	1	the	the	DET
fumecheng-12165	212	2	results	result	NOUN
fumecheng-12165	212	3	showed	show	VERB
fumecheng-12165	212	4	a	a	DET
fumecheng-12165	212	5	significant	significant	ADJ
fumecheng-12165	212	6	improvement	improvement	NOUN
fumecheng-12165	212	7	in	in	ADP
fumecheng-12165	212	8	the	the	DET
fumecheng-12165	212	9	overall	overall	ADJ
fumecheng-12165	212	10	damping	damp	VERB
fumecheng-12165	212	11	performance	performance	NOUN
fumecheng-12165	212	12	of	of	ADP
fumecheng-12165	212	13	the	the	DET
fumecheng-12165	212	14	c	c	PROPN
fumecheng-12165	212	15	-	-	PUNCT
fumecheng-12165	212	16	f	f	NOUN
fumecheng-12165	212	17	ve	ve	VERB
fumecheng-12165	212	18	sandwich	sandwich	NOUN
fumecheng-12165	212	19	beam	beam	NOUN
fumecheng-12165	212	20	as	as	SCONJ
fumecheng-12165	212	21	the	the	DET
fumecheng-12165	212	22	loss	loss	NOUN
fumecheng-12165	212	23	factor	factor	NOUN
fumecheng-12165	212	24	𝜂𝑣was	𝜂𝑣wa	VERB
fumecheng-12165	212	25	increased	increase	VERB
fumecheng-12165	212	26	.	.	PUNCT
fumecheng-12165	213	1	when	when	SCONJ
fumecheng-12165	213	2	low	low	ADJ
fumecheng-12165	213	3	frequencies	frequency	NOUN
fumecheng-12165	213	4	were	be	AUX
fumecheng-12165	213	5	close	close	ADJ
fumecheng-12165	213	6	to	to	ADP
fumecheng-12165	213	7	loading	loading	NOUN
fumecheng-12165	213	8	frequencies	frequency	NOUN
fumecheng-12165	213	9	,	,	PUNCT
fumecheng-12165	213	10	they	they	PRON
fumecheng-12165	213	11	could	could	AUX
fumecheng-12165	213	12	generate	generate	VERB
fumecheng-12165	213	13	huge	huge	ADJ
fumecheng-12165	213	14	amplitudes	amplitude	NOUN
fumecheng-12165	213	15	,	,	PUNCT
fumecheng-12165	213	16	causing	cause	VERB
fumecheng-12165	213	17	what	what	PRON
fumecheng-12165	213	18	is	be	AUX
fumecheng-12165	213	19	known	know	VERB
fumecheng-12165	213	20	as	as	ADP
fumecheng-12165	213	21	resonance	resonance	NOUN
fumecheng-12165	213	22	.	.	PUNCT
fumecheng-12165	214	1	table	table	NOUN
fumecheng-12165	214	2	4	4	NUM
fumecheng-12165	214	3	normalized	normalize	VERB
fumecheng-12165	214	4	loss	loss	NOUN
fumecheng-12165	214	5	factor	factor	NOUN
fumecheng-12165	214	6	of	of	ADP
fumecheng-12165	214	7	c	c	PROPN
fumecheng-12165	214	8	-	-	PUNCT
fumecheng-12165	214	9	f	f	NOUN
fumecheng-12165	214	10	ve	ve	VERB
fumecheng-12165	214	11	sandwich	sandwich	NOUN
fumecheng-12165	214	12	beam	beam	NOUN
fumecheng-12165	214	13	with	with	ADP
fumecheng-12165	214	14	different	different	ADJ
fumecheng-12165	214	15	𝜼𝒗	𝜼𝒗	PROPN
fumecheng-12165	214	16	𝜼𝒗	𝜼𝒗	ADJ
fumecheng-12165	214	17	analytical	analytical	ADJ
fumecheng-12165	214	18	[	[	X
fumecheng-12165	214	19	34	34	NUM
fumecheng-12165	214	20	]	]	X
fumecheng-12165	214	21	cps8	cps8	PROPN
fumecheng-12165	214	22	rm	rm	PROPN
fumecheng-12165	215	1	[	[	X
fumecheng-12165	215	2	35	35	NUM
fumecheng-12165	215	3	]	]	X
fumecheng-12165	215	4	c3d20	c3d20	VERB
fumecheng-12165	215	5	anm	anm	INTJ
fumecheng-12165	216	1	[	[	X
fumecheng-12165	216	2	36	36	NUM
fumecheng-12165	216	3	]	]	PUNCT
fumecheng-12165	216	4	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	216	5	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	216	6	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	216	7	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	216	8	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	216	9	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	216	10	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	216	11	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	216	12	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	216	13	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	216	14	0.1	0.1	NUM
fumecheng-12165	216	15	0.281	0.281	NUM
fumecheng-12165	216	16	0.283	0.283	NUM
fumecheng-12165	216	17	0.283	0.283	NUM
fumecheng-12165	216	18	0.282	0.282	NUM
fumecheng-12165	216	19	0.281	0.281	NUM
fumecheng-12165	216	20	0.242	0.242	NUM
fumecheng-12165	216	21	0.242	0.242	NUM
fumecheng-12165	216	22	0.243	0.243	NUM
fumecheng-12165	216	23	0.241	0.241	NUM
fumecheng-12165	216	24	0.242	0.242	NUM
fumecheng-12165	216	25	0.154	0.154	NUM
fumecheng-12165	216	26	0.154	0.154	NUM
fumecheng-12165	216	27	0.154	0.154	NUM
fumecheng-12165	216	28	0.153	0.153	NUM
fumecheng-12165	216	29	0.154	0.154	NUM
fumecheng-12165	216	30	0.088	0.088	NUM
fumecheng-12165	216	31	0.089	0.089	NUM
fumecheng-12165	216	32	0.089	0.089	NUM
fumecheng-12165	216	33	0.088	0.088	NUM
fumecheng-12165	216	34	0.089	0.089	NUM
fumecheng-12165	216	35	0.057	0.057	NUM
fumecheng-12165	216	36	0.057	0.057	NUM
fumecheng-12165	216	37	0.057	0.057	NUM
fumecheng-12165	216	38	0.056	0.056	NUM
fumecheng-12165	216	39	0.057	0.057	NUM
fumecheng-12165	216	40	0.039	0.039	NUM
fumecheng-12165	216	41	0.039	0.039	NUM
fumecheng-12165	216	42	0.039	0.039	NUM
fumecheng-12165	216	43	0.038	0.038	NUM
fumecheng-12165	216	44	0.039	0.039	NUM
fumecheng-12165	216	45	0.6	0.6	NUM
fumecheng-12165	216	46	0.246	0.246	NUM
fumecheng-12165	216	47	0.281	0.281	NUM
fumecheng-12165	216	48	0.283	0.283	NUM
fumecheng-12165	216	49	0.280	0.280	NUM
fumecheng-12165	216	50	0.247	0.247	NUM
fumecheng-12165	216	51	0.232	0.232	NUM
fumecheng-12165	216	52	0.241	0.241	NUM
fumecheng-12165	216	53	0.243	0.243	NUM
fumecheng-12165	216	54	0.239	0.239	NUM
fumecheng-12165	216	55	0.224	0.224	NUM
fumecheng-12165	216	56	0.152	0.152	NUM
fumecheng-12165	216	57	0.154	0.154	NUM
fumecheng-12165	216	58	0.154	0.154	NUM
fumecheng-12165	216	59	0.152	0.152	NUM
fumecheng-12165	216	60	0.150	0.150	NUM
fumecheng-12165	216	61	0.088	0.088	NUM
fumecheng-12165	216	62	0.089	0.089	NUM
fumecheng-12165	216	63	0.089	0.089	NUM
fumecheng-12165	216	64	0.088	0.088	NUM
fumecheng-12165	216	65	0.088	0.088	NUM
fumecheng-12165	216	66	0.057	0.057	NUM
fumecheng-12165	216	67	0.057	0.057	NUM
fumecheng-12165	216	68	0.057	0.057	NUM
fumecheng-12165	216	69	0.056	0.056	NUM
fumecheng-12165	216	70	0.057	0.057	NUM
fumecheng-12165	216	71	0.039	0.039	NUM
fumecheng-12165	216	72	0.039	0.039	NUM
fumecheng-12165	216	73	0.039	0.039	NUM
fumecheng-12165	216	74	0.038	0.038	NUM
fumecheng-12165	216	75	0.039	0.039	NUM
fumecheng-12165	216	76	1	1	NUM
fumecheng-12165	216	77	0.202	0.202	NUM
fumecheng-12165	216	78	0.277	0.277	NUM
fumecheng-12165	216	79	0.283	0.283	NUM
fumecheng-12165	216	80	0.276	0.276	NUM
fumecheng-12165	216	81	0.204	0.204	NUM
fumecheng-12165	216	82	0.217	0.217	NUM
fumecheng-12165	216	83	0.238	0.238	NUM
fumecheng-12165	216	84	0.243	0.243	NUM
fumecheng-12165	216	85	0.236	0.236	NUM
fumecheng-12165	216	86	0.201	0.201	NUM
fumecheng-12165	216	87	0.150	0.150	NUM
fumecheng-12165	216	88	0.153	0.153	NUM
fumecheng-12165	216	89	0.154	0.154	NUM
fumecheng-12165	216	90	0.152	0.152	NUM
fumecheng-12165	216	91	0.142	0.142	NUM
fumecheng-12165	216	92	0.088	0.088	NUM
fumecheng-12165	216	93	0.089	0.089	NUM
fumecheng-12165	216	94	0.089	0.089	NUM
fumecheng-12165	216	95	0.088	0.088	NUM
fumecheng-12165	216	96	0.086	0.086	NUM
fumecheng-12165	216	97	0.057	0.057	NUM
fumecheng-12165	216	98	0.057	0.057	NUM
fumecheng-12165	216	99	0.057	0.057	NUM
fumecheng-12165	216	100	0.056	0.056	NUM
fumecheng-12165	216	101	0.057	0.057	NUM
fumecheng-12165	216	102	0.038	0.038	NUM
fumecheng-12165	216	103	0.039	0.039	NUM
fumecheng-12165	216	104	0.039	0.039	NUM
fumecheng-12165	216	105	0.038	0.038	NUM
fumecheng-12165	216	106	0.037	0.037	NUM
fumecheng-12165	216	107	1.5	1.5	NUM
fumecheng-12165	216	108	0.153	0.153	NUM
fumecheng-12165	216	109	0.271	0.271	NUM
fumecheng-12165	216	110	0.283	0.283	NUM
fumecheng-12165	216	111	0.270	0.270	NUM
fumecheng-12165	216	112	0.155	0.155	NUM
fumecheng-12165	216	113	0.197	0.197	NUM
fumecheng-12165	216	114	0.232	0.232	NUM
fumecheng-12165	216	115	0.243	0.243	NUM
fumecheng-12165	216	116	0.231	0.231	NUM
fumecheng-12165	216	117	0.176	0.176	NUM
fumecheng-12165	216	118	0.146	0.146	NUM
fumecheng-12165	216	119	0.152	0.152	NUM
fumecheng-12165	216	120	0.154	0.154	NUM
fumecheng-12165	216	121	0.150	0.150	NUM
fumecheng-12165	216	122	0.131	0.131	NUM
fumecheng-12165	216	123	0.087	0.087	NUM
fumecheng-12165	216	124	0.088	0.088	NUM
fumecheng-12165	216	125	0.089	0.089	NUM
fumecheng-12165	216	126	0.087	0.087	NUM
fumecheng-12165	216	127	0.083	0.083	NUM
fumecheng-12165	216	128	0.056	0.056	NUM
fumecheng-12165	216	129	0.057	0.057	NUM
fumecheng-12165	216	130	0.057	0.057	NUM
fumecheng-12165	216	131	0.056	0.056	NUM
fumecheng-12165	216	132	0.056	0.056	NUM
fumecheng-12165	216	133	0.038	0.038	NUM
fumecheng-12165	216	134	0.039	0.039	NUM
fumecheng-12165	216	135	0.039	0.039	NUM
fumecheng-12165	216	136	0.038	0.038	NUM
fumecheng-12165	216	137	0.039	0.039	NUM
fumecheng-12165	216	138	average	average	ADJ
fumecheng-12165	216	139	error	error	NOUN
fumecheng-12165	216	140	(	(	PUNCT
fumecheng-12165	216	141	%	%	INTJ
fumecheng-12165	216	142	)	)	PUNCT
fumecheng-12165	217	1	≈	≈	PROPN
fumecheng-12165	217	2	5.42	5.42	NUM
fumecheng-12165	217	3	6.02	6.02	NUM
fumecheng-12165	217	4	4.19	4.19	NUM
fumecheng-12165	217	5	2.38	2.38	NUM
fumecheng-12165	217	6	fig	fig	NOUN
fumecheng-12165	217	7	.	.	PUNCT
fumecheng-12165	218	1	3	3	NUM
fumecheng-12165	218	2	shows	show	VERB
fumecheng-12165	218	3	relative	relative	ADJ
fumecheng-12165	218	4	changes	change	NOUN
fumecheng-12165	218	5	in	in	ADP
fumecheng-12165	218	6	normalized	normalize	VERB
fumecheng-12165	218	7	deflection	deflection	NOUN
fumecheng-12165	218	8	amplitudes	amplitude	NOUN
fumecheng-12165	218	9	for	for	ADP
fumecheng-12165	218	10	the	the	DET
fumecheng-12165	218	11	first	first	ADJ
fumecheng-12165	218	12	three	three	NUM
fumecheng-12165	218	13	eigenmodes	eigenmode	NOUN
fumecheng-12165	218	14	of	of	ADP
fumecheng-12165	218	15	c	c	PROPN
fumecheng-12165	218	16	-	-	PUNCT
fumecheng-12165	218	17	f	f	NOUN
fumecheng-12165	218	18	ve	ve	VERB
fumecheng-12165	218	19	sandwich	sandwich	NOUN
fumecheng-12165	218	20	beam	beam	NOUN
fumecheng-12165	218	21	with	with	ADP
fumecheng-12165	218	22	a	a	DET
fumecheng-12165	218	23	different	different	ADJ
fumecheng-12165	218	24	loss	loss	NOUN
fumecheng-12165	218	25	factor	factor	NOUN
fumecheng-12165	218	26	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	218	27	[	[	X
fumecheng-12165	218	28	0.1	0.1	NUM
fumecheng-12165	218	29	,	,	PUNCT
fumecheng-12165	218	30	0.6	0.6	NUM
fumecheng-12165	218	31	,	,	PUNCT
fumecheng-12165	218	32	1.5	1.5	NUM
fumecheng-12165	218	33	]	]	PUNCT
fumecheng-12165	218	34	.	.	PUNCT
fumecheng-12165	219	1	it	it	PRON
fumecheng-12165	219	2	could	could	AUX
fumecheng-12165	219	3	be	be	AUX
fumecheng-12165	219	4	noticed	notice	VERB
fumecheng-12165	219	5	that	that	SCONJ
fumecheng-12165	219	6	both	both	CCONJ
fumecheng-12165	219	7	real	real	ADJ
fumecheng-12165	219	8	and	and	CCONJ
fumecheng-12165	219	9	imaginary	imaginary	ADJ
fumecheng-12165	219	10	parts	part	NOUN
fumecheng-12165	219	11	had	have	VERB
fumecheng-12165	219	12	different	different	ADJ
fumecheng-12165	219	13	amplitudes	amplitude	NOUN
fumecheng-12165	219	14	but	but	CCONJ
fumecheng-12165	219	15	the	the	DET
fumecheng-12165	219	16	same	same	ADJ
fumecheng-12165	219	17	mode	mode	NOUN
fumecheng-12165	219	18	shapes	shape	NOUN
fumecheng-12165	219	19	.	.	PUNCT
fumecheng-12165	220	1	for	for	ADP
fumecheng-12165	220	2	high	high	ADJ
fumecheng-12165	220	3	loss	loss	NOUN
fumecheng-12165	220	4	factor	factor	NOUN
fumecheng-12165	220	5	𝜂𝑣	𝜂𝑣	ADP
fumecheng-12165	220	6	,	,	PUNCT
fumecheng-12165	220	7	the	the	DET
fumecheng-12165	220	8	imaginary	imaginary	ADJ
fumecheng-12165	220	9	part	part	NOUN
fumecheng-12165	220	10	of	of	ADP
fumecheng-12165	220	11	the	the	DET
fumecheng-12165	220	12	complex	complex	ADJ
fumecheng-12165	220	13	eigenmodes	eigenmode	NOUN
fumecheng-12165	220	14	was	be	AUX
fumecheng-12165	220	15	significant	significant	ADJ
fumecheng-12165	220	16	which	which	PRON
fumecheng-12165	220	17	affected	affect	VERB
fumecheng-12165	220	18	the	the	DET
fumecheng-12165	220	19	damping	damp	VERB
fumecheng-12165	220	20	performance	performance	NOUN
fumecheng-12165	220	21	of	of	ADP
fumecheng-12165	220	22	the	the	DET
fumecheng-12165	220	23	whole	whole	ADJ
fumecheng-12165	220	24	structure	structure	NOUN
fumecheng-12165	220	25	.	.	PUNCT
fumecheng-12165	221	1	604	604	NUM
fumecheng-12165	221	2	y.	y.	PROPN
fumecheng-12165	221	3	elmoghazy	elmoghazy	PROPN
fumecheng-12165	221	4	,	,	PUNCT
fumecheng-12165	221	5	b.	b.	PROPN
fumecheng-12165	221	6	safaei	safaei	PROPN
fumecheng-12165	221	7	,	,	PUNCT
fumecheng-12165	221	8	s.	s.	PROPN
fumecheng-12165	221	9	sahmani	sahmani	PROPN
fumecheng-12165	221	10	fig	fig	PROPN
fumecheng-12165	221	11	.	.	PUNCT
fumecheng-12165	222	1	3	3	NUM
fumecheng-12165	222	2	the	the	DET
fumecheng-12165	222	3	complex	complex	NOUN
fumecheng-12165	222	4	normalized	normalize	VERB
fumecheng-12165	222	5	eigenmodes	eigenmode	NOUN
fumecheng-12165	222	6	of	of	ADP
fumecheng-12165	222	7	c	c	PROPN
fumecheng-12165	222	8	-	-	PUNCT
fumecheng-12165	222	9	f	f	NOUN
fumecheng-12165	222	10	ve	ve	VERB
fumecheng-12165	222	11	sandwich	sandwich	NOUN
fumecheng-12165	222	12	beam	beam	NOUN
fumecheng-12165	222	13	with	with	ADP
fumecheng-12165	222	14	𝜼𝒗=	𝜼𝒗=	PROPN
fumecheng-12165	223	1	[	[	X
fumecheng-12165	223	2	0.1	0.1	NUM
fumecheng-12165	223	3	,	,	PUNCT
fumecheng-12165	223	4	0.6	0.6	NUM
fumecheng-12165	223	5	,	,	PUNCT
fumecheng-12165	223	6	1.5	1.5	NUM
fumecheng-12165	223	7	]	]	PUNCT
fumecheng-12165	223	8	(	(	PUNCT
fumecheng-12165	223	9	a	a	PRON
fumecheng-12165	223	10	)	)	PUNCT
fumecheng-12165	223	11	mode	mode	NOUN
fumecheng-12165	223	12	1	1	NUM
fumecheng-12165	223	13	;	;	PUNCT
fumecheng-12165	223	14	(	(	PUNCT
fumecheng-12165	223	15	b	b	X
fumecheng-12165	223	16	)	)	PUNCT
fumecheng-12165	223	17	mode	mode	NOUN
fumecheng-12165	223	18	2	2	NUM
fumecheng-12165	223	19	;	;	PUNCT
fumecheng-12165	223	20	(	(	PUNCT
fumecheng-12165	223	21	c	c	X
fumecheng-12165	223	22	)	)	PUNCT
fumecheng-12165	223	23	mode	mode	NOUN
fumecheng-12165	223	24	3	3	NUM
fumecheng-12165	223	25	4.1.2	4.1.2	NUM
fumecheng-12165	223	26	.	.	PUNCT
fumecheng-12165	223	27	case	case	NOUN
fumecheng-12165	223	28	study	study	NOUN
fumecheng-12165	223	29	#	#	SYM
fumecheng-12165	223	30	2	2	NUM
fumecheng-12165	223	31	:	:	PUNCT
fumecheng-12165	223	32	s	s	X
fumecheng-12165	223	33	-	-	PUNCT
fumecheng-12165	223	34	s	s	X
fumecheng-12165	223	35	ve	ve	VERB
fumecheng-12165	223	36	sandwich	sandwich	NOUN
fumecheng-12165	223	37	beam	beam	NOUN
fumecheng-12165	223	38	for	for	ADP
fumecheng-12165	223	39	the	the	DET
fumecheng-12165	223	40	same	same	ADJ
fumecheng-12165	223	41	mechanical	mechanical	ADJ
fumecheng-12165	223	42	and	and	CCONJ
fumecheng-12165	223	43	geometrical	geometrical	ADJ
fumecheng-12165	223	44	properties	property	NOUN
fumecheng-12165	223	45	shown	show	VERB
fumecheng-12165	223	46	in	in	ADP
fumecheng-12165	223	47	table	table	NOUN
fumecheng-12165	223	48	1	1	NUM
fumecheng-12165	223	49	,	,	PUNCT
fumecheng-12165	223	50	the	the	DET
fumecheng-12165	223	51	linear	linear	ADJ
fumecheng-12165	223	52	vibration	vibration	NOUN
fumecheng-12165	223	53	characterizations	characterization	NOUN
fumecheng-12165	223	54	of	of	ADP
fumecheng-12165	223	55	s	s	NOUN
fumecheng-12165	223	56	-	-	PUNCT
fumecheng-12165	223	57	s	s	NOUN
fumecheng-12165	223	58	supported	support	VERB
fumecheng-12165	223	59	boundary	boundary	ADJ
fumecheng-12165	223	60	ve	ve	VERB
fumecheng-12165	223	61	sandwich	sandwich	NOUN
fumecheng-12165	223	62	beam	beam	NOUN
fumecheng-12165	223	63	are	be	AUX
fumecheng-12165	223	64	considered	consider	VERB
fumecheng-12165	223	65	.	.	PUNCT
fumecheng-12165	224	1	in	in	ADP
fumecheng-12165	224	2	this	this	DET
fumecheng-12165	224	3	study	study	NOUN
fumecheng-12165	224	4	,	,	PUNCT
fumecheng-12165	224	5	based	base	VERB
fumecheng-12165	224	6	on	on	ADP
fumecheng-12165	224	7	rao	rao	PROPN
fumecheng-12165	224	8	analytical	analytical	ADJ
fumecheng-12165	224	9	model	model	NOUN
fumecheng-12165	224	10	[	[	X
fumecheng-12165	224	11	37	37	NUM
fumecheng-12165	224	12	]	]	PUNCT
fumecheng-12165	224	13	,	,	PUNCT
fumecheng-12165	224	14	the	the	DET
fumecheng-12165	224	15	prediction	prediction	NOUN
fumecheng-12165	224	16	accuracy	accuracy	NOUN
fumecheng-12165	224	17	of	of	ADP
fumecheng-12165	224	18	the	the	DET
fumecheng-12165	224	19	natural	natural	ADJ
fumecheng-12165	224	20	frequency	frequency	NOUN
fumecheng-12165	224	21	and	and	CCONJ
fumecheng-12165	224	22	loss	loss	NOUN
fumecheng-12165	224	23	factor	factor	NOUN
fumecheng-12165	224	24	of	of	ADP
fumecheng-12165	224	25	the	the	DET
fumecheng-12165	224	26	ve	ve	NOUN
fumecheng-12165	224	27	sandwich	sandwich	NOUN
fumecheng-12165	224	28	beam	beam	NOUN
fumecheng-12165	224	29	structure	structure	NOUN
fumecheng-12165	224	30	are	be	AUX
fumecheng-12165	224	31	compared	compare	VERB
fumecheng-12165	224	32	.	.	PUNCT
fumecheng-12165	225	1	it	it	PRON
fumecheng-12165	225	2	is	be	AUX
fumecheng-12165	225	3	seen	see	VERB
fumecheng-12165	225	4	from	from	ADP
fumecheng-12165	225	5	tables	table	NOUN
fumecheng-12165	225	6	5	5	NUM
fumecheng-12165	225	7	and	and	CCONJ
fumecheng-12165	225	8	6	6	NUM
fumecheng-12165	225	9	that	that	SCONJ
fumecheng-12165	225	10	all	all	DET
fumecheng-12165	225	11	models	model	NOUN
fumecheng-12165	225	12	,	,	PUNCT
fumecheng-12165	225	13	had	have	VERB
fumecheng-12165	225	14	high	high	ADJ
fumecheng-12165	225	15	accuracy	accuracy	NOUN
fumecheng-12165	225	16	in	in	ADP
fumecheng-12165	225	17	calculating	calculate	VERB
fumecheng-12165	225	18	the	the	DET
fumecheng-12165	225	19	first	first	ADJ
fumecheng-12165	225	20	six	six	NUM
fumecheng-12165	225	21	natural	natural	ADJ
fumecheng-12165	225	22	frequencies	frequency	NOUN
fumecheng-12165	225	23	of	of	ADP
fumecheng-12165	225	24	ve	ve	VERB
fumecheng-12165	225	25	sandwich	sandwich	NOUN
fumecheng-12165	225	26	beam	beam	NOUN
fumecheng-12165	225	27	in	in	ADP
fumecheng-12165	225	28	comparison	comparison	NOUN
fumecheng-12165	225	29	with	with	ADP
fumecheng-12165	225	30	analytical	analytical	ADJ
fumecheng-12165	225	31	solution	solution	NOUN
fumecheng-12165	225	32	[	[	X
fumecheng-12165	225	33	37	37	NUM
fumecheng-12165	225	34	]	]	PUNCT
fumecheng-12165	225	35	.	.	PUNCT
fumecheng-12165	226	1	for	for	ADP
fumecheng-12165	226	2	s	s	PROPN
fumecheng-12165	226	3	-	-	PUNCT
fumecheng-12165	226	4	s	s	NOUN
fumecheng-12165	226	5	boundary	boundary	ADJ
fumecheng-12165	226	6	condition	condition	NOUN
fumecheng-12165	226	7	,	,	PUNCT
fumecheng-12165	226	8	cps8	cps8	PROPN
fumecheng-12165	226	9	had	have	VERB
fumecheng-12165	226	10	0.59	0.59	NUM
fumecheng-12165	226	11	%	%	NOUN
fumecheng-12165	226	12	average	average	ADJ
fumecheng-12165	226	13	relative	relative	ADJ
fumecheng-12165	226	14	error	error	NOUN
fumecheng-12165	226	15	and	and	CCONJ
fumecheng-12165	226	16	c3d20	c3d20	PROPN
fumecheng-12165	226	17	had	have	VERB
fumecheng-12165	226	18	the	the	DET
fumecheng-12165	226	19	lowest	low	ADJ
fumecheng-12165	226	20	accuracy	accuracy	NOUN
fumecheng-12165	226	21	of	of	ADP
fumecheng-12165	226	22	3.6	3.6	NUM
fumecheng-12165	226	23	%	%	NOUN
fumecheng-12165	226	24	.	.	PUNCT
fumecheng-12165	227	1	on	on	ADP
fumecheng-12165	227	2	the	the	DET
fumecheng-12165	227	3	other	other	ADJ
fumecheng-12165	227	4	hand	hand	NOUN
fumecheng-12165	227	5	,	,	PUNCT
fumecheng-12165	227	6	from	from	ADP
fumecheng-12165	227	7	table	table	NOUN
fumecheng-12165	227	8	6	6	NUM
fumecheng-12165	227	9	it	it	PRON
fumecheng-12165	227	10	was	be	AUX
fumecheng-12165	227	11	noticed	notice	VERB
fumecheng-12165	227	12	that	that	SCONJ
fumecheng-12165	227	13	both	both	DET
fumecheng-12165	227	14	models	model	NOUN
fumecheng-12165	227	15	had	have	VERB
fumecheng-12165	227	16	relatively	relatively	ADV
fumecheng-12165	227	17	high	high	ADJ
fumecheng-12165	227	18	accuracy	accuracy	NOUN
fumecheng-12165	227	19	in	in	ADP
fumecheng-12165	227	20	predicting	predict	VERB
fumecheng-12165	227	21	the	the	DET
fumecheng-12165	227	22	first	first	ADJ
fumecheng-12165	227	23	six	six	NUM
fumecheng-12165	227	24	loss	loss	NOUN
fumecheng-12165	227	25	factors	factor	NOUN
fumecheng-12165	227	26	of	of	ADP
fumecheng-12165	227	27	s	s	NOUN
fumecheng-12165	227	28	-	-	PUNCT
fumecheng-12165	227	29	s	s	NOUN
fumecheng-12165	227	30	ve	ve	NOUN
fumecheng-12165	227	31	sandwich	sandwich	NOUN
fumecheng-12165	227	32	beam	beam	NOUN
fumecheng-12165	227	33	compared	compare	VERB
fumecheng-12165	227	34	with	with	ADP
fumecheng-12165	227	35	analytical	analytical	ADJ
fumecheng-12165	227	36	solution	solution	NOUN
fumecheng-12165	227	37	[	[	X
fumecheng-12165	227	38	37	37	NUM
fumecheng-12165	227	39	]	]	PUNCT
fumecheng-12165	227	40	.	.	PUNCT
fumecheng-12165	228	1	as	as	ADP
fumecheng-12165	228	2	a	a	DET
fumecheng-12165	228	3	result	result	NOUN
fumecheng-12165	228	4	,	,	PUNCT
fumecheng-12165	228	5	it	it	PRON
fumecheng-12165	228	6	means	mean	VERB
fumecheng-12165	228	7	that	that	SCONJ
fumecheng-12165	228	8	the	the	DET
fumecheng-12165	228	9	prediction	prediction	NOUN
fumecheng-12165	228	10	accuracy	accuracy	NOUN
fumecheng-12165	228	11	of	of	ADP
fumecheng-12165	228	12	the	the	DET
fumecheng-12165	228	13	numerical	numerical	ADJ
fumecheng-12165	228	14	approaches	approach	NOUN
fumecheng-12165	228	15	for	for	ADP
fumecheng-12165	228	16	the	the	DET
fumecheng-12165	228	17	natural	natural	ADJ
fumecheng-12165	228	18	frequency	frequency	NOUN
fumecheng-12165	228	19	of	of	ADP
fumecheng-12165	228	20	s	s	NOUN
fumecheng-12165	228	21	-	-	PUNCT
fumecheng-12165	228	22	s	s	NOUN
fumecheng-12165	228	23	ve	ve	NOUN
fumecheng-12165	228	24	sandwich	sandwich	NOUN
fumecheng-12165	228	25	beam	beam	NOUN
fumecheng-12165	228	26	in	in	ADP
fumecheng-12165	228	27	this	this	DET
fumecheng-12165	228	28	work	work	NOUN
fumecheng-12165	228	29	is	be	AUX
fumecheng-12165	228	30	ranked	rank	VERB
fumecheng-12165	228	31	as	as	SCONJ
fumecheng-12165	228	32	follows	follow	VERB
fumecheng-12165	228	33	:	:	PUNCT
fumecheng-12165	228	34	cps8	cps8	PROPN
fumecheng-12165	228	35	>	>	X
fumecheng-12165	228	36	c3d20	c3d20	PROPN
fumecheng-12165	228	37	.	.	PUNCT
fumecheng-12165	229	1	the	the	DET
fumecheng-12165	229	2	dynamic	dynamic	ADJ
fumecheng-12165	229	3	characteristics	characteristic	NOUN
fumecheng-12165	229	4	of	of	ADP
fumecheng-12165	229	5	ve	ve	VERB
fumecheng-12165	229	6	sandwich	sandwich	NOUN
fumecheng-12165	229	7	beam	beam	NOUN
fumecheng-12165	229	8	were	be	AUX
fumecheng-12165	229	9	studied	study	VERB
fumecheng-12165	229	10	,	,	PUNCT
fumecheng-12165	229	11	and	and	CCONJ
fumecheng-12165	229	12	the	the	DET
fumecheng-12165	229	13	natural	natural	ADJ
fumecheng-12165	229	14	frequency	frequency	NOUN
fumecheng-12165	229	15	of	of	ADP
fumecheng-12165	229	16	ve	ve	VERB
fumecheng-12165	229	17	sandwich	sandwich	NOUN
fumecheng-12165	229	18	beam	beam	NOUN
fumecheng-12165	229	19	system	system	NOUN
fumecheng-12165	229	20	was	be	AUX
fumecheng-12165	229	21	larger	large	ADJ
fumecheng-12165	229	22	under	under	ADP
fumecheng-12165	229	23	s	s	NOUN
fumecheng-12165	229	24	-	-	PUNCT
fumecheng-12165	229	25	s	s	NOUN
fumecheng-12165	229	26	boundary	boundary	ADJ
fumecheng-12165	229	27	conditions	condition	NOUN
fumecheng-12165	229	28	.	.	PUNCT
fumecheng-12165	230	1	the	the	DET
fumecheng-12165	230	2	fundamental	fundamental	ADJ
fumecheng-12165	230	3	loss	loss	NOUN
fumecheng-12165	230	4	factor	factor	NOUN
fumecheng-12165	230	5	of	of	ADP
fumecheng-12165	230	6	ve	ve	VERB
fumecheng-12165	230	7	sandwich	sandwich	NOUN
fumecheng-12165	230	8	beams	beam	NOUN
fumecheng-12165	230	9	with	with	ADP
fumecheng-12165	230	10	c	c	NOUN
fumecheng-12165	230	11	-	-	PUNCT
fumecheng-12165	230	12	f	f	PROPN
fumecheng-12165	230	13	boundary	boundary	ADJ
fumecheng-12165	230	14	conditions	condition	NOUN
fumecheng-12165	230	15	was	be	AUX
fumecheng-12165	230	16	higher	high	ADJ
fumecheng-12165	230	17	than	than	ADP
fumecheng-12165	230	18	that	that	PRON
fumecheng-12165	230	19	for	for	ADP
fumecheng-12165	230	20	ve	ve	VERB
fumecheng-12165	230	21	sandwich	sandwich	NOUN
fumecheng-12165	230	22	beams	beam	NOUN
fumecheng-12165	230	23	with	with	ADP
fumecheng-12165	230	24	s	s	NOUN
fumecheng-12165	230	25	-	-	PUNCT
fumecheng-12165	230	26	s	s	X
fumecheng-12165	230	27	boundary	boundary	ADJ
fumecheng-12165	230	28	(	(	PUNCT
fumecheng-12165	230	29	c	c	NOUN
fumecheng-12165	230	30	)	)	PUNCT
fumecheng-12165	230	31	(	(	PUNCT
fumecheng-12165	230	32	a	a	X
fumecheng-12165	230	33	)	)	PUNCT
fumecheng-12165	230	34	(	(	PUNCT
fumecheng-12165	230	35	b	b	X
fumecheng-12165	230	36	)	)	PUNCT
fumecheng-12165	230	37	605	605	NUM
fumecheng-12165	230	38	dynamics	dynamic	NOUN
fumecheng-12165	230	39	analysis	analysis	NOUN
fumecheng-12165	230	40	of	of	ADP
fumecheng-12165	230	41	viscoelastic	viscoelastic	NOUN
fumecheng-12165	230	42	sandwiched	sandwich	VERB
fumecheng-12165	230	43	structures	structure	NOUN
fumecheng-12165	230	44	integrated	integrate	VERB
fumecheng-12165	230	45	with	with	ADP
fumecheng-12165	230	46	aluminum	aluminum	NOUN
fumecheng-12165	230	47	sheets	sheet	NOUN
fumecheng-12165	230	48	conditions	condition	NOUN
fumecheng-12165	230	49	.	.	PUNCT
fumecheng-12165	231	1	for	for	ADP
fumecheng-12165	231	2	high	high	ADJ
fumecheng-12165	231	3	values	value	NOUN
fumecheng-12165	231	4	of	of	ADP
fumecheng-12165	231	5	loss	loss	NOUN
fumecheng-12165	231	6	factor	factor	NOUN
fumecheng-12165	231	7	of	of	ADP
fumecheng-12165	231	8	ve	ve	NOUN
fumecheng-12165	231	9	material	material	NOUN
fumecheng-12165	231	10	,	,	PUNCT
fumecheng-12165	231	11	the	the	DET
fumecheng-12165	231	12	imaginary	imaginary	ADJ
fumecheng-12165	231	13	part	part	NOUN
fumecheng-12165	231	14	of	of	ADP
fumecheng-12165	231	15	the	the	DET
fumecheng-12165	231	16	stiffness	stiffness	ADJ
fumecheng-12165	231	17	matrix	matrix	NOUN
fumecheng-12165	231	18	was	be	AUX
fumecheng-12165	231	19	considered	consider	VERB
fumecheng-12165	231	20	which	which	PRON
fumecheng-12165	231	21	implied	imply	VERB
fumecheng-12165	231	22	the	the	DET
fumecheng-12165	231	23	existence	existence	NOUN
fumecheng-12165	231	24	of	of	ADP
fumecheng-12165	231	25	not	not	PART
fumecheng-12165	231	26	only	only	ADV
fumecheng-12165	231	27	storage	storage	NOUN
fumecheng-12165	231	28	modulus	modulus	NOUN
fumecheng-12165	231	29	but	but	CCONJ
fumecheng-12165	231	30	,	,	PUNCT
fumecheng-12165	231	31	also	also	ADV
fumecheng-12165	231	32	loss	loss	NOUN
fumecheng-12165	231	33	modulus	modulus	NOUN
fumecheng-12165	231	34	.	.	PUNCT
fumecheng-12165	232	1	as	as	SCONJ
fumecheng-12165	232	2	can	can	AUX
fumecheng-12165	232	3	be	be	AUX
fumecheng-12165	232	4	noticed	notice	VERB
fumecheng-12165	232	5	from	from	ADP
fumecheng-12165	232	6	fig	fig	NOUN
fumecheng-12165	232	7	.	.	PUNCT
fumecheng-12165	233	1	4	4	NUM
fumecheng-12165	233	2	,	,	PUNCT
fumecheng-12165	233	3	the	the	DET
fumecheng-12165	233	4	first	first	ADJ
fumecheng-12165	233	5	normalized	normalize	VERB
fumecheng-12165	233	6	fundamental	fundamental	ADJ
fumecheng-12165	233	7	complex	complex	ADJ
fumecheng-12165	233	8	vibration	vibration	NOUN
fumecheng-12165	233	9	modes	mode	NOUN
fumecheng-12165	233	10	of	of	ADP
fumecheng-12165	233	11	s	s	NOUN
fumecheng-12165	233	12	-	-	PUNCT
fumecheng-12165	233	13	s	s	NOUN
fumecheng-12165	233	14	ve	ve	NOUN
fumecheng-12165	233	15	sandwich	sandwich	NOUN
fumecheng-12165	233	16	beam	beam	NOUN
fumecheng-12165	233	17	with	with	ADP
fumecheng-12165	233	18	different	different	ADJ
fumecheng-12165	233	19	damping	damp	VERB
fumecheng-12165	233	20	factor	factor	NOUN
fumecheng-12165	233	21	of	of	ADP
fumecheng-12165	233	22	ve	ve	VERB
fumecheng-12165	233	23	core	core	NOUN
fumecheng-12165	233	24	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	234	1	[	[	X
fumecheng-12165	234	2	0.1,0.6,1.5	0.1,0.6,1.5	X
fumecheng-12165	234	3	]	]	X
fumecheng-12165	234	4	using	use	VERB
fumecheng-12165	234	5	the	the	DET
fumecheng-12165	234	6	2d	2d	NUM
fumecheng-12165	234	7	plan	plan	NOUN
fumecheng-12165	234	8	stress	stress	NOUN
fumecheng-12165	234	9	element	element	NOUN
fumecheng-12165	234	10	cps8	cps8	NOUN
fumecheng-12165	234	11	implemented	implement	VERB
fumecheng-12165	234	12	in	in	ADP
fumecheng-12165	234	13	abaqus	abaqus	NOUN
fumecheng-12165	234	14	.	.	PUNCT
fumecheng-12165	235	1	the	the	DET
fumecheng-12165	235	2	results	result	NOUN
fumecheng-12165	235	3	show	show	VERB
fumecheng-12165	235	4	that	that	SCONJ
fumecheng-12165	235	5	the	the	DET
fumecheng-12165	235	6	relative	relative	ADJ
fumecheng-12165	235	7	amplitude	amplitude	NOUN
fumecheng-12165	235	8	difference	difference	NOUN
fumecheng-12165	235	9	between	between	ADP
fumecheng-12165	235	10	real	real	ADJ
fumecheng-12165	235	11	and	and	CCONJ
fumecheng-12165	235	12	imaginary	imaginary	ADJ
fumecheng-12165	235	13	modes	mode	NOUN
fumecheng-12165	235	14	was	be	AUX
fumecheng-12165	235	15	increased	increase	VERB
fumecheng-12165	235	16	as	as	SCONJ
fumecheng-12165	235	17	the	the	DET
fumecheng-12165	235	18	loss	loss	NOUN
fumecheng-12165	235	19	factor	factor	NOUN
fumecheng-12165	235	20	increased	increase	VERB
fumecheng-12165	235	21	so	so	SCONJ
fumecheng-12165	235	22	that	that	SCONJ
fumecheng-12165	235	23	the	the	DET
fumecheng-12165	235	24	imaginary	imaginary	ADJ
fumecheng-12165	235	25	part	part	NOUN
fumecheng-12165	235	26	of	of	ADP
fumecheng-12165	235	27	the	the	DET
fumecheng-12165	235	28	complex	complex	ADJ
fumecheng-12165	235	29	fundamental	fundamental	ADJ
fumecheng-12165	235	30	vibration	vibration	NOUN
fumecheng-12165	235	31	modes	mode	NOUN
fumecheng-12165	235	32	was	be	AUX
fumecheng-12165	235	33	significant	significant	ADJ
fumecheng-12165	235	34	and	and	CCONJ
fumecheng-12165	235	35	could	could	AUX
fumecheng-12165	235	36	not	not	PART
fumecheng-12165	235	37	be	be	AUX
fumecheng-12165	235	38	neglected	neglect	VERB
fumecheng-12165	235	39	.	.	PUNCT
fumecheng-12165	236	1	the	the	DET
fumecheng-12165	236	2	flowchart	flowchart	NOUN
fumecheng-12165	236	3	of	of	ADP
fumecheng-12165	236	4	the	the	DET
fumecheng-12165	236	5	employed	employ	VERB
fumecheng-12165	236	6	methodology	methodology	NOUN
fumecheng-12165	236	7	for	for	ADP
fumecheng-12165	236	8	dynamics	dynamic	NOUN
fumecheng-12165	236	9	analysis	analysis	NOUN
fumecheng-12165	236	10	of	of	ADP
fumecheng-12165	236	11	sandwich	sandwich	NOUN
fumecheng-12165	236	12	beam	beam	NOUN
fumecheng-12165	236	13	is	be	AUX
fumecheng-12165	236	14	shown	show	VERB
fumecheng-12165	236	15	in	in	ADP
fumecheng-12165	236	16	fig	fig	NOUN
fumecheng-12165	236	17	.	.	PUNCT
fumecheng-12165	237	1	5	5	X
fumecheng-12165	237	2	.	.	X
fumecheng-12165	237	3	in	in	ADP
fumecheng-12165	237	4	the	the	DET
fumecheng-12165	237	5	pre	pre	ADJ
fumecheng-12165	237	6	-	-	ADJ
fumecheng-12165	237	7	processing	processing	ADJ
fumecheng-12165	237	8	stage	stage	NOUN
fumecheng-12165	237	9	,	,	PUNCT
fumecheng-12165	237	10	material	material	NOUN
fumecheng-12165	237	11	model	model	NOUN
fumecheng-12165	237	12	and	and	CCONJ
fumecheng-12165	237	13	tie	tie	VERB
fumecheng-12165	237	14	constraints	constraint	NOUN
fumecheng-12165	237	15	between	between	ADP
fumecheng-12165	237	16	the	the	DET
fumecheng-12165	237	17	layers	layer	NOUN
fumecheng-12165	237	18	are	be	AUX
fumecheng-12165	237	19	defined	define	VERB
fumecheng-12165	237	20	.	.	PUNCT
fumecheng-12165	238	1	also	also	ADV
fumecheng-12165	238	2	,	,	PUNCT
fumecheng-12165	238	3	the	the	DET
fumecheng-12165	238	4	process	process	NOUN
fumecheng-12165	238	5	involves	involve	VERB
fumecheng-12165	238	6	assigning	assign	VERB
fumecheng-12165	238	7	appropriate	appropriate	ADJ
fumecheng-12165	238	8	element	element	NOUN
fumecheng-12165	238	9	models	model	NOUN
fumecheng-12165	238	10	and	and	CCONJ
fumecheng-12165	238	11	defining	define	VERB
fumecheng-12165	238	12	c	c	NOUN
fumecheng-12165	238	13	-	-	PUNCT
fumecheng-12165	238	14	c	c	NOUN
fumecheng-12165	238	15	and	and	CCONJ
fumecheng-12165	238	16	s	s	NOUN
fumecheng-12165	238	17	-	-	PUNCT
fumecheng-12165	238	18	s	s	NOUN
fumecheng-12165	238	19	boundary	boundary	ADJ
fumecheng-12165	238	20	conditions	condition	NOUN
fumecheng-12165	238	21	.	.	PUNCT
fumecheng-12165	239	1	in	in	ADP
fumecheng-12165	239	2	post	post	ADJ
fumecheng-12165	239	3	-	-	ADJ
fumecheng-12165	239	4	processing	processing	NOUN
fumecheng-12165	239	5	,	,	PUNCT
fumecheng-12165	239	6	the	the	DET
fumecheng-12165	239	7	free	free	ADJ
fumecheng-12165	239	8	vibration	vibration	NOUN
fumecheng-12165	239	9	response	response	NOUN
fumecheng-12165	239	10	results	result	NOUN
fumecheng-12165	239	11	are	be	AUX
fumecheng-12165	239	12	interpreted	interpret	VERB
fumecheng-12165	239	13	based	base	VERB
fumecheng-12165	239	14	on	on	ADP
fumecheng-12165	239	15	tracking	track	VERB
fumecheng-12165	239	16	model	model	NOUN
fumecheng-12165	239	17	effective	effective	ADJ
fumecheng-12165	239	18	mass	mass	NOUN
fumecheng-12165	239	19	.	.	PUNCT
fumecheng-12165	240	1	in	in	ADP
fumecheng-12165	240	2	addition	addition	NOUN
fumecheng-12165	240	3	,	,	PUNCT
fumecheng-12165	240	4	the	the	DET
fumecheng-12165	240	5	parametric	parametric	ADJ
fumecheng-12165	240	6	study	study	NOUN
fumecheng-12165	240	7	stage	stage	NOUN
fumecheng-12165	240	8	involves	involve	VERB
fumecheng-12165	240	9	investigation	investigation	NOUN
fumecheng-12165	240	10	of	of	ADP
fumecheng-12165	240	11	ve	ve	PROPN
fumecheng-12165	240	12	parameters	parameter	NOUN
fumecheng-12165	240	13	'	'	PART
fumecheng-12165	240	14	effects	effect	NOUN
fumecheng-12165	240	15	on	on	ADP
fumecheng-12165	240	16	free	free	ADJ
fumecheng-12165	240	17	vibration	vibration	NOUN
fumecheng-12165	240	18	response	response	NOUN
fumecheng-12165	240	19	of	of	ADP
fumecheng-12165	240	20	sandwich	sandwich	NOUN
fumecheng-12165	240	21	beam	beam	NOUN
fumecheng-12165	240	22	.	.	PUNCT
fumecheng-12165	241	1	in	in	ADP
fumecheng-12165	241	2	the	the	DET
fumecheng-12165	241	3	last	last	ADJ
fumecheng-12165	241	4	stage	stage	NOUN
fumecheng-12165	241	5	,	,	PUNCT
fumecheng-12165	241	6	steady	steady	ADJ
fumecheng-12165	241	7	state	state	NOUN
fumecheng-12165	241	8	forced	force	VERB
fumecheng-12165	241	9	vibration	vibration	NOUN
fumecheng-12165	241	10	response	response	NOUN
fumecheng-12165	241	11	with	with	ADP
fumecheng-12165	241	12	different	different	ADJ
fumecheng-12165	241	13	values	value	NOUN
fumecheng-12165	241	14	of	of	ADP
fumecheng-12165	241	15	𝜂𝑣	𝜂𝑣	ADV
fumecheng-12165	241	16	is	be	AUX
fumecheng-12165	241	17	obtained	obtain	VERB
fumecheng-12165	241	18	by	by	ADP
fumecheng-12165	241	19	utilizing	utilize	VERB
fumecheng-12165	241	20	mode	mode	NOUN
fumecheng-12165	241	21	superposition	superposition	NOUN
fumecheng-12165	241	22	method	method	NOUN
fumecheng-12165	241	23	that	that	PRON
fumecheng-12165	241	24	implies	imply	VERB
fumecheng-12165	241	25	the	the	DET
fumecheng-12165	241	26	representation	representation	NOUN
fumecheng-12165	241	27	of	of	ADP
fumecheng-12165	241	28	each	each	DET
fumecheng-12165	241	29	eigenmode	eigenmode	NOUN
fumecheng-12165	241	30	as	as	ADP
fumecheng-12165	241	31	an	an	DET
fumecheng-12165	241	32	independent	independent	ADJ
fumecheng-12165	241	33	pattern	pattern	NOUN
fumecheng-12165	241	34	of	of	ADP
fumecheng-12165	241	35	motion	motion	NOUN
fumecheng-12165	241	36	.	.	PUNCT
fumecheng-12165	242	1	table	table	NOUN
fumecheng-12165	242	2	5	5	NUM
fumecheng-12165	242	3	linear	linear	ADJ
fumecheng-12165	242	4	frequencies	frequency	NOUN
fumecheng-12165	242	5	of	of	ADP
fumecheng-12165	242	6	s	s	NOUN
fumecheng-12165	242	7	-	-	PUNCT
fumecheng-12165	242	8	s	s	NOUN
fumecheng-12165	242	9	ve	ve	NOUN
fumecheng-12165	242	10	sandwich	sandwich	NOUN
fumecheng-12165	242	11	beam	beam	NOUN
fumecheng-12165	242	12	with	with	ADP
fumecheng-12165	242	13	different	different	ADJ
fumecheng-12165	242	14	𝜼𝒗	𝜼𝒗	PROPN
fumecheng-12165	242	15	𝜼𝒗	𝜼𝒗	ADJ
fumecheng-12165	242	16	analytical	analytical	ADJ
fumecheng-12165	242	17	[	[	X
fumecheng-12165	242	18	37	37	NUM
fumecheng-12165	242	19	]	]	PUNCT
fumecheng-12165	242	20	cps8	cps8	NOUN
fumecheng-12165	242	21	element	element	NOUN
fumecheng-12165	242	22	c3d20	c3d20	PROPN
fumecheng-12165	242	23	element	element	NOUN
fumecheng-12165	242	24	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	PROPN
fumecheng-12165	242	25	)	)	PUNCT
fumecheng-12165	242	26	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	PROPN
fumecheng-12165	242	27	)	)	PUNCT
fumecheng-12165	242	28	𝜔𝑛(𝐻𝑧	𝜔𝑛(𝐻𝑧	VERB
fumecheng-12165	242	29	)	)	PUNCT
fumecheng-12165	242	30	0.1	0.1	NUM
fumecheng-12165	242	31	148.51	148.51	NUM
fumecheng-12165	242	32	148.44	148.44	NUM
fumecheng-12165	242	33	148.55	148.55	NUM
fumecheng-12165	242	34	488.47	488.47	NUM
fumecheng-12165	242	35	488.19	488.19	NUM
fumecheng-12165	242	36	489.797	489.797	NUM
fumecheng-12165	242	37	1034.69	1034.69	NUM
fumecheng-12165	242	38	1033.5	1033.5	NUM
fumecheng-12165	242	39	1040.57	1040.57	NUM
fumecheng-12165	242	40	1795.13	1795.13	NUM
fumecheng-12165	242	41	1791.56	1791.56	NUM
fumecheng-12165	242	42	1408.3	1408.3	NUM
fumecheng-12165	242	43	2771.49	2771.49	NUM
fumecheng-12165	242	44	2763	2763	NUM
fumecheng-12165	242	45	2288.4	2288.4	NUM
fumecheng-12165	242	46	3964.28	3964.28	NUM
fumecheng-12165	242	47	3946.95	3946.95	NUM
fumecheng-12165	242	48	3388.7	3388.7	NUM
fumecheng-12165	242	49	0.6	0.6	NUM
fumecheng-12165	242	50	150.71	150.71	NUM
fumecheng-12165	242	51	149.23	149.23	NUM
fumecheng-12165	242	52	149.34	149.34	NUM
fumecheng-12165	242	53	489.75	489.75	NUM
fumecheng-12165	242	54	489.01	489.01	NUM
fumecheng-12165	242	55	490.61	490.61	NUM
fumecheng-12165	242	56	1035.38	1035.38	NUM
fumecheng-12165	242	57	1034.01	1034.01	NUM
fumecheng-12165	242	58	1041.08	1041.08	NUM
fumecheng-12165	242	59	1795.54	1795.54	NUM
fumecheng-12165	242	60	1791.89	1791.89	NUM
fumecheng-12165	242	61	1811.05	1811.05	NUM
fumecheng-12165	242	62	2771.76	2771.76	NUM
fumecheng-12165	242	63	2763.23	2763.23	NUM
fumecheng-12165	242	64	2802.92	2802.92	NUM
fumecheng-12165	242	65	3964.47	3964.47	NUM
fumecheng-12165	242	66	3947.11	3947.11	NUM
fumecheng-12165	243	1	4016.7	4016.7	NUM
fumecheng-12165	243	2	1	1	NUM
fumecheng-12165	243	3	154.42	154.42	NUM
fumecheng-12165	243	4	150.62	150.62	NUM
fumecheng-12165	243	5	150.73	150.73	NUM
fumecheng-12165	243	6	492.06	492.06	NUM
fumecheng-12165	243	7	490.48	490.48	NUM
fumecheng-12165	243	8	492.08	492.08	NUM
fumecheng-12165	243	9	1036.63	1036.63	NUM
fumecheng-12165	243	10	1034.95	1034.95	NUM
fumecheng-12165	243	11	1042.02	1042.02	NUM
fumecheng-12165	243	12	1796.3	1796.3	NUM
fumecheng-12165	243	13	1792.5	1792.5	NUM
fumecheng-12165	243	14	1811.65	1811.65	NUM
fumecheng-12165	243	15	2772.27	2772.27	NUM
fumecheng-12165	243	16	2763.64	2763.64	NUM
fumecheng-12165	243	17	2803.33	2803.33	NUM
fumecheng-12165	243	18	3964.83	3964.83	NUM
fumecheng-12165	243	19	3947.41	3947.41	NUM
fumecheng-12165	243	20	4016.99	4016.99	NUM
fumecheng-12165	243	21	1.5	1.5	NUM
fumecheng-12165	243	22	160.72	160.72	NUM
fumecheng-12165	243	23	153.16	153.16	NUM
fumecheng-12165	243	24	153.27	153.27	NUM
fumecheng-12165	243	25	496.49	496.49	NUM
fumecheng-12165	243	26	493.29	493.29	NUM
fumecheng-12165	243	27	494.89	494.89	NUM
fumecheng-12165	243	28	1039.07	1039.07	NUM
fumecheng-12165	243	29	1036.78	1036.78	NUM
fumecheng-12165	243	30	1043.84	1043.84	NUM
fumecheng-12165	243	31	1797.78	1797.78	NUM
fumecheng-12165	243	32	1793.68	1793.68	NUM
fumecheng-12165	243	33	1812.82	1812.82	NUM
fumecheng-12165	243	34	2773.25	2773.25	NUM
fumecheng-12165	243	35	2764.45	2764.45	NUM
fumecheng-12165	243	36	2804.12	2804.12	NUM
fumecheng-12165	243	37	3965.52	3965.52	NUM
fumecheng-12165	243	38	3947.99	3947.99	NUM
fumecheng-12165	243	39	4017.55	4017.55	NUM
fumecheng-12165	243	40	average	average	ADJ
fumecheng-12165	243	41	error	error	NOUN
fumecheng-12165	243	42	(	(	PUNCT
fumecheng-12165	243	43	%	%	INTJ
fumecheng-12165	243	44	)	)	PUNCT
fumecheng-12165	244	1	≈	≈	PROPN
fumecheng-12165	244	2	0.59	0.59	NUM
fumecheng-12165	244	3	3.60	3.60	NUM
fumecheng-12165	244	4	606	606	NUM
fumecheng-12165	244	5	y.	y.	PROPN
fumecheng-12165	244	6	elmoghazy	elmoghazy	PROPN
fumecheng-12165	244	7	,	,	PUNCT
fumecheng-12165	244	8	b.	b.	PROPN
fumecheng-12165	244	9	safaei	safaei	PROPN
fumecheng-12165	244	10	,	,	PUNCT
fumecheng-12165	244	11	s.	s.	PROPN
fumecheng-12165	244	12	sahmani	sahmani	PROPN
fumecheng-12165	244	13	table	table	PROPN
fumecheng-12165	244	14	6	6	NUM
fumecheng-12165	244	15	normalized	normalize	VERB
fumecheng-12165	244	16	loss	loss	NOUN
fumecheng-12165	244	17	factor	factor	NOUN
fumecheng-12165	244	18	of	of	ADP
fumecheng-12165	244	19	s	s	NOUN
fumecheng-12165	244	20	-	-	PUNCT
fumecheng-12165	244	21	s	s	NOUN
fumecheng-12165	244	22	ve	ve	NOUN
fumecheng-12165	244	23	sandwich	sandwich	NOUN
fumecheng-12165	244	24	beam	beam	NOUN
fumecheng-12165	244	25	with	with	ADP
fumecheng-12165	244	26	different	different	ADJ
fumecheng-12165	244	27	𝜼𝒗	𝜼𝒗	PROPN
fumecheng-12165	244	28	𝜼𝒗	𝜼𝒗	ADJ
fumecheng-12165	244	29	analytical	analytical	ADJ
fumecheng-12165	244	30	[	[	X
fumecheng-12165	244	31	37	37	NUM
fumecheng-12165	244	32	]	]	PUNCT
fumecheng-12165	244	33	cps8	cps8	NOUN
fumecheng-12165	244	34	element	element	NOUN
fumecheng-12165	244	35	c3d20	c3d20	VERB
fumecheng-12165	244	36	element	element	NOUN
fumecheng-12165	244	37	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	244	38	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	244	39	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	244	40	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	244	41	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	244	42	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	244	43	0.1	0.1	NUM
fumecheng-12165	244	44	0.107	0.107	NUM
fumecheng-12165	244	45	0.1069	0.1069	NUM
fumecheng-12165	244	46	0.1063	0.1063	NUM
fumecheng-12165	244	47	0.065	0.065	NUM
fumecheng-12165	244	48	0.0651	0.0651	NUM
fumecheng-12165	244	49	0.0644	0.0644	NUM
fumecheng-12165	244	50	0.043	0.043	NUM
fumecheng-12165	244	51	0.0433	0.0433	NUM
fumecheng-12165	244	52	0.0426	0.0426	NUM
fumecheng-12165	244	53	0.031	0.031	NUM
fumecheng-12165	244	54	0.0307	0.0307	NUM
fumecheng-12165	244	55	0.03	0.03	NUM
fumecheng-12165	244	56	0.3328	0.3328	NUM
fumecheng-12165	244	57	0.3468	0.3468	NUM
fumecheng-12165	244	58	0.3465	0.3465	NUM
fumecheng-12165	244	59	0.1943	0.1943	NUM
fumecheng-12165	244	60	0.195	0.195	NUM
fumecheng-12165	244	61	0.1945	0.1945	NUM
fumecheng-12165	244	62	0.6	0.6	NUM
fumecheng-12165	245	1	0.1068	0.1068	NUM
fumecheng-12165	245	2	0.1068	0.1068	NUM
fumecheng-12165	245	3	0.1062	0.1062	NUM
fumecheng-12165	245	4	0.0652	0.0652	NUM
fumecheng-12165	245	5	0.0651	0.0651	NUM
fumecheng-12165	245	6	0.0644	0.0644	NUM
fumecheng-12165	245	7	0.0433	0.0433	NUM
fumecheng-12165	245	8	0.0433	0.0433	NUM
fumecheng-12165	245	9	0.0426	0.0426	NUM
fumecheng-12165	245	10	0.0308	0.0308	NUM
fumecheng-12165	245	11	0.0307	0.0307	NUM
fumecheng-12165	245	12	0.03	0.03	NUM
fumecheng-12165	245	13	0.305	0.305	NUM
fumecheng-12165	245	14	0.3405	0.3405	NUM
fumecheng-12165	245	15	0.3402	0.3402	NUM
fumecheng-12165	245	16	0.192	0.192	NUM
fumecheng-12165	245	17	0.1938	0.1938	NUM
fumecheng-12165	245	18	0.1933	0.1933	NUM
fumecheng-12165	245	19	1	1	NUM
fumecheng-12165	245	20	0.106	0.106	NUM
fumecheng-12165	245	21	0.1066	0.1066	NUM
fumecheng-12165	245	22	0.106	0.106	NUM
fumecheng-12165	245	23	0.065	0.065	NUM
fumecheng-12165	245	24	0.0651	0.0651	NUM
fumecheng-12165	245	25	0.0644	0.0644	NUM
fumecheng-12165	245	26	0.043	0.043	NUM
fumecheng-12165	245	27	0.0433	0.0433	NUM
fumecheng-12165	245	28	0.0426	0.0426	NUM
fumecheng-12165	245	29	0.031	0.031	NUM
fumecheng-12165	245	30	0.0307	0.0307	NUM
fumecheng-12165	245	31	0.03	0.03	NUM
fumecheng-12165	245	32	0.2626	0.2626	NUM
fumecheng-12165	245	33	0.3292	0.3292	NUM
fumecheng-12165	245	34	0.27	0.27	NUM
fumecheng-12165	245	35	0.1871	0.1871	NUM
fumecheng-12165	245	36	0.1916	0.1916	NUM
fumecheng-12165	245	37	0.231	0.231	NUM
fumecheng-12165	245	38	1.5	1.5	NUM
fumecheng-12165	245	39	0.1059	0.1059	NUM
fumecheng-12165	245	40	0.1063	0.1063	NUM
fumecheng-12165	245	41	0.15	0.15	NUM
fumecheng-12165	245	42	0.065	0.065	NUM
fumecheng-12165	245	43	0.065	0.065	NUM
fumecheng-12165	245	44	0.087	0.087	NUM
fumecheng-12165	245	45	0.0433	0.0433	NUM
fumecheng-12165	245	46	0.0432	0.0432	NUM
fumecheng-12165	245	47	0.056	0.056	NUM
fumecheng-12165	245	48	0.0308	0.0308	NUM
fumecheng-12165	245	49	0.0307	0.0307	NUM
fumecheng-12165	245	50	0.038	0.038	NUM
fumecheng-12165	245	51	0.0410	0.0410	NUM
fumecheng-12165	245	52	0.0432	0.0432	NUM
fumecheng-12165	245	53	0.0510	0.0510	NUM
fumecheng-12165	245	54	3346	3346	NUM
fumecheng-12165	245	55	3333.9	3333.9	NUM
fumecheng-12165	245	56	3390	3390	NUM
fumecheng-12165	245	57	average	average	ADJ
fumecheng-12165	245	58	error	error	NOUN
fumecheng-12165	245	59	(	(	PUNCT
fumecheng-12165	245	60	%	%	INTJ
fumecheng-12165	245	61	)	)	PUNCT
fumecheng-12165	246	1	≈	≈	PROPN
fumecheng-12165	246	2	1.8	1.8	NUM
fumecheng-12165	246	3	6.28	6.28	NUM
fumecheng-12165	246	4	4.1.3	4.1.3	NUM
fumecheng-12165	246	5	.	.	PUNCT
fumecheng-12165	247	1	case	case	NOUN
fumecheng-12165	247	2	study	study	NOUN
fumecheng-12165	247	3	#	#	SYM
fumecheng-12165	247	4	3	3	NUM
fumecheng-12165	247	5	:	:	SYM
fumecheng-12165	247	6	four	four	NUM
fumecheng-12165	247	7	-	-	PUNCT
fumecheng-12165	247	8	sided	sided	ADJ
fumecheng-12165	247	9	s	s	NOUN
fumecheng-12165	247	10	-	-	PUNCT
fumecheng-12165	247	11	s	s	NOUN
fumecheng-12165	247	12	sandwich	sandwich	NOUN
fumecheng-12165	247	13	plate	plate	NOUN
fumecheng-12165	247	14	the	the	DET
fumecheng-12165	247	15	material	material	NOUN
fumecheng-12165	247	16	and	and	CCONJ
fumecheng-12165	247	17	geometrical	geometrical	ADJ
fumecheng-12165	247	18	specifications	specification	NOUN
fumecheng-12165	247	19	of	of	ADP
fumecheng-12165	247	20	ssss	ssss	NOUN
fumecheng-12165	247	21	ve	ve	NOUN
fumecheng-12165	247	22	plate	plate	NOUN
fumecheng-12165	247	23	structure	structure	NOUN
fumecheng-12165	247	24	are	be	AUX
fumecheng-12165	247	25	shown	show	VERB
fumecheng-12165	247	26	in	in	ADP
fumecheng-12165	247	27	table	table	NOUN
fumecheng-12165	247	28	7	7	NUM
fumecheng-12165	247	29	.	.	PUNCT
fumecheng-12165	248	1	the	the	DET
fumecheng-12165	248	2	natural	natural	ADJ
fumecheng-12165	248	3	frequencies	frequency	NOUN
fumecheng-12165	248	4	and	and	CCONJ
fumecheng-12165	248	5	loss	loss	NOUN
fumecheng-12165	248	6	factors	factor	NOUN
fumecheng-12165	248	7	of	of	ADP
fumecheng-12165	248	8	the	the	DET
fumecheng-12165	248	9	structure	structure	NOUN
fumecheng-12165	248	10	are	be	AUX
fumecheng-12165	248	11	calculated	calculate	VERB
fumecheng-12165	248	12	using	use	VERB
fumecheng-12165	248	13	the	the	DET
fumecheng-12165	248	14	developed	develop	VERB
fumecheng-12165	248	15	fe	fe	NOUN
fumecheng-12165	248	16	model	model	NOUN
fumecheng-12165	248	17	implemented	implement	VERB
fumecheng-12165	248	18	in	in	ADP
fumecheng-12165	248	19	abaqus	abaqus	NOUN
fumecheng-12165	248	20	and	and	CCONJ
fumecheng-12165	248	21	compared	compare	VERB
fumecheng-12165	248	22	with	with	ADP
fumecheng-12165	248	23	the	the	DET
fumecheng-12165	248	24	results	result	NOUN
fumecheng-12165	248	25	obtained	obtain	VERB
fumecheng-12165	248	26	by	by	ADP
fumecheng-12165	248	27	johnson	johnson	PROPN
fumecheng-12165	248	28	and	and	CCONJ
fumecheng-12165	248	29	kienholz	kienholz	VERB
fumecheng-12165	249	1	[	[	X
fumecheng-12165	249	2	38	38	NUM
fumecheng-12165	249	3	]	]	PUNCT
fumecheng-12165	249	4	,	,	PUNCT
fumecheng-12165	249	5	who	who	PRON
fumecheng-12165	249	6	used	use	VERB
fumecheng-12165	249	7	modal	modal	NOUN
fumecheng-12165	249	8	strain	strain	NOUN
fumecheng-12165	249	9	energy	energy	NOUN
fumecheng-12165	249	10	method	method	NOUN
fumecheng-12165	249	11	(	(	PUNCT
fumecheng-12165	249	12	mse	mse	NOUN
fumecheng-12165	249	13	)	)	PUNCT
fumecheng-12165	249	14	implemented	implement	VERB
fumecheng-12165	249	15	in	in	ADP
fumecheng-12165	249	16	nastran	nastran	ADJ
fumecheng-12165	249	17	commercial	commercial	ADJ
fumecheng-12165	249	18	software	software	NOUN
fumecheng-12165	249	19	to	to	PART
fumecheng-12165	249	20	calculate	calculate	VERB
fumecheng-12165	249	21	the	the	DET
fumecheng-12165	249	22	natural	natural	ADJ
fumecheng-12165	249	23	frequency	frequency	NOUN
fumecheng-12165	249	24	and	and	CCONJ
fumecheng-12165	249	25	loss	loss	NOUN
fumecheng-12165	249	26	factor	factor	NOUN
fumecheng-12165	249	27	of	of	ADP
fumecheng-12165	249	28	ve	ve	VERB
fumecheng-12165	249	29	sandwich	sandwich	NOUN
fumecheng-12165	249	30	structures	structure	NOUN
fumecheng-12165	249	31	.	.	PUNCT
fumecheng-12165	250	1	the	the	DET
fumecheng-12165	250	2	ve	ve	NOUN
fumecheng-12165	250	3	sandwich	sandwich	NOUN
fumecheng-12165	250	4	plate	plate	NOUN
fumecheng-12165	250	5	in	in	ADP
fumecheng-12165	250	6	this	this	DET
fumecheng-12165	250	7	study	study	NOUN
fumecheng-12165	250	8	is	be	AUX
fumecheng-12165	250	9	discretized	discretize	VERB
fumecheng-12165	250	10	into	into	ADP
fumecheng-12165	250	11	2200×120	2200×120	NUM
fumecheng-12165	250	12	and	and	CCONJ
fumecheng-12165	250	13	1050×255	1050×255	NUM
fumecheng-12165	250	14	meshed	mesh	VERB
fumecheng-12165	250	15	areas	area	NOUN
fumecheng-12165	250	16	using	use	VERB
fumecheng-12165	250	17	c3d20	c3d20	PROPN
fumecheng-12165	250	18	element	element	NOUN
fumecheng-12165	250	19	along	along	ADP
fumecheng-12165	250	20	with	with	ADP
fumecheng-12165	250	21	the	the	DET
fumecheng-12165	250	22	length	length	NOUN
fumecheng-12165	250	23	and	and	CCONJ
fumecheng-12165	250	24	width	width	ADJ
fumecheng-12165	250	25	directions	direction	NOUN
fumecheng-12165	250	26	during	during	ADP
fumecheng-12165	250	27	the	the	DET
fumecheng-12165	250	28	calculation	calculation	NOUN
fumecheng-12165	250	29	.	.	PUNCT
fumecheng-12165	251	1	in	in	ADP
fumecheng-12165	251	2	adition	adition	NOUN
fumecheng-12165	251	3	,	,	PUNCT
fumecheng-12165	251	4	the	the	DET
fumecheng-12165	251	5	mesh	mesh	NOUN
fumecheng-12165	251	6	specification	specification	NOUN
fumecheng-12165	251	7	of	of	ADP
fumecheng-12165	251	8	c3d20	c3d20	VERB
fumecheng-12165	251	9	element	element	NOUN
fumecheng-12165	251	10	elements	element	NOUN
fumecheng-12165	251	11	implemented	implement	VERB
fumecheng-12165	251	12	in	in	ADP
fumecheng-12165	251	13	abaqus	abaqus	NOUN
fumecheng-12165	251	14	is	be	AUX
fumecheng-12165	251	15	shown	show	VERB
fumecheng-12165	251	16	in	in	ADP
fumecheng-12165	251	17	table	table	NOUN
fumecheng-12165	251	18	2	2	NUM
fumecheng-12165	251	19	.	.	PUNCT
fumecheng-12165	251	20	607	607	NUM
fumecheng-12165	251	21	dynamics	dynamic	NOUN
fumecheng-12165	251	22	analysis	analysis	NOUN
fumecheng-12165	251	23	of	of	ADP
fumecheng-12165	251	24	viscoelastic	viscoelastic	NOUN
fumecheng-12165	251	25	sandwiched	sandwich	VERB
fumecheng-12165	251	26	structures	structure	NOUN
fumecheng-12165	251	27	integrated	integrate	VERB
fumecheng-12165	251	28	with	with	ADP
fumecheng-12165	251	29	aluminum	aluminum	NOUN
fumecheng-12165	251	30	sheets	sheet	NOUN
fumecheng-12165	251	31	fig	fig	NOUN
fumecheng-12165	251	32	.	.	PUNCT
fumecheng-12165	252	1	4	4	NUM
fumecheng-12165	252	2	the	the	DET
fumecheng-12165	252	3	complex	complex	NOUN
fumecheng-12165	252	4	normalized	normalize	VERB
fumecheng-12165	252	5	eigenmodes	eigenmode	NOUN
fumecheng-12165	252	6	of	of	ADP
fumecheng-12165	252	7	s	s	NOUN
fumecheng-12165	252	8	-	-	PUNCT
fumecheng-12165	252	9	s	s	NOUN
fumecheng-12165	252	10	ve	ve	NOUN
fumecheng-12165	252	11	sandwich	sandwich	NOUN
fumecheng-12165	252	12	beam	beam	NOUN
fumecheng-12165	252	13	with	with	ADP
fumecheng-12165	252	14	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	252	15	[	[	X
fumecheng-12165	252	16	0.1	0.1	NUM
fumecheng-12165	252	17	,	,	PUNCT
fumecheng-12165	252	18	0.6	0.6	NUM
fumecheng-12165	252	19	,	,	PUNCT
fumecheng-12165	252	20	1.5	1.5	NUM
fumecheng-12165	252	21	]	]	PUNCT
fumecheng-12165	252	22	(	(	PUNCT
fumecheng-12165	252	23	a	a	PRON
fumecheng-12165	252	24	)	)	PUNCT
fumecheng-12165	252	25	mode	mode	NOUN
fumecheng-12165	252	26	1	1	NUM
fumecheng-12165	252	27	;	;	PUNCT
fumecheng-12165	252	28	(	(	PUNCT
fumecheng-12165	252	29	b	b	X
fumecheng-12165	252	30	)	)	PUNCT
fumecheng-12165	252	31	mode	mode	NOUN
fumecheng-12165	252	32	2	2	NUM
fumecheng-12165	252	33	;	;	PUNCT
fumecheng-12165	252	34	(	(	PUNCT
fumecheng-12165	252	35	c	c	X
fumecheng-12165	252	36	)	)	PUNCT
fumecheng-12165	252	37	mode	mode	NOUN
fumecheng-12165	252	38	3	3	NUM
fumecheng-12165	252	39	table	table	NOUN
fumecheng-12165	252	40	7	7	NUM
fumecheng-12165	252	41	mechanical	mechanical	ADJ
fumecheng-12165	252	42	and	and	CCONJ
fumecheng-12165	252	43	geometrical	geometrical	ADJ
fumecheng-12165	252	44	specifications	specification	NOUN
fumecheng-12165	252	45	of	of	ADP
fumecheng-12165	252	46	ve	ve	VERB
fumecheng-12165	252	47	ssss	ssss	NOUN
fumecheng-12165	252	48	ve	ve	NOUN
fumecheng-12165	252	49	sandwich	sandwich	NOUN
fumecheng-12165	252	50	plate	plate	NOUN
fumecheng-12165	252	51	[	[	X
fumecheng-12165	252	52	38	38	NUM
fumecheng-12165	252	53	]	]	PUNCT
fumecheng-12165	252	54	properties	property	NOUN
fumecheng-12165	252	55	elastic	elastic	ADJ
fumecheng-12165	252	56	layers	layer	NOUN
fumecheng-12165	252	57	ve	ve	VERB
fumecheng-12165	252	58	core	core	NOUN
fumecheng-12165	252	59	layer	layer	NOUN
fumecheng-12165	252	60	young	young	ADJ
fumecheng-12165	252	61	modulus	modulus	NOUN
fumecheng-12165	252	62	(	(	PUNCT
fumecheng-12165	252	63	pa	pa	PROPN
fumecheng-12165	252	64	)	)	PUNCT
fumecheng-12165	253	1	6.89×	6.89×	NUM
fumecheng-12165	253	2	1010	1010	NUM
fumecheng-12165	253	3	1.794×106	1.794×106	NUM
fumecheng-12165	253	4	poisson	poisson	PROPN
fumecheng-12165	253	5	’s	’s	PART
fumecheng-12165	253	6	ration	ration	NOUN
fumecheng-12165	253	7	0.3	0.3	NUM
fumecheng-12165	253	8	0.49	0.49	NUM
fumecheng-12165	253	9	density	density	NOUN
fumecheng-12165	253	10	(	(	PUNCT
fumecheng-12165	253	11	kg	kg	PROPN
fumecheng-12165	253	12	/	/	SYM
fumecheng-12165	253	13	m3	m3	PROPN
fumecheng-12165	253	14	)	)	PUNCT
fumecheng-12165	253	15	loss	loss	NOUN
fumecheng-12165	253	16	factor	factor	NOUN
fumecheng-12165	253	17	2740	2740	NUM
fumecheng-12165	253	18	999	999	NUM
fumecheng-12165	253	19	0.5	0.5	NUM
fumecheng-12165	253	20	length	length	NOUN
fumecheng-12165	253	21	(	(	PUNCT
fumecheng-12165	253	22	mm	mm	NOUN
fumecheng-12165	253	23	)	)	PUNCT
fumecheng-12165	253	24	348	348	NUM
fumecheng-12165	253	25	348	348	NUM
fumecheng-12165	253	26	width	width	NOUN
fumecheng-12165	253	27	(	(	PUNCT
fumecheng-12165	253	28	mm	mm	NOUN
fumecheng-12165	253	29	)	)	PUNCT
fumecheng-12165	253	30	304.8	304.8	NUM
fumecheng-12165	253	31	304.8	304.8	NUM
fumecheng-12165	253	32	thickness	thickness	NOUN
fumecheng-12165	253	33	(	(	PUNCT
fumecheng-12165	253	34	mm	mm	NOUN
fumecheng-12165	253	35	)	)	PUNCT
fumecheng-12165	253	36	0.762	0.762	NUM
fumecheng-12165	253	37	0.254	0.254	NUM
fumecheng-12165	253	38	the	the	DET
fumecheng-12165	253	39	mode	mode	NOUN
fumecheng-12165	253	40	shapes	shape	NOUN
fumecheng-12165	253	41	of	of	ADP
fumecheng-12165	253	42	the	the	DET
fumecheng-12165	253	43	ve	ve	NOUN
fumecheng-12165	253	44	sandwich	sandwich	NOUN
fumecheng-12165	253	45	plate	plate	NOUN
fumecheng-12165	253	46	associated	associate	VERB
fumecheng-12165	253	47	with	with	ADP
fumecheng-12165	253	48	the	the	DET
fumecheng-12165	253	49	first	first	ADJ
fumecheng-12165	253	50	fundamentals	fundamental	NOUN
fumecheng-12165	253	51	natural	natural	ADJ
fumecheng-12165	253	52	frequency	frequency	NOUN
fumecheng-12165	253	53	obtained	obtain	VERB
fumecheng-12165	253	54	using	use	VERB
fumecheng-12165	253	55	c3d20	c3d20	PROPN
fumecheng-12165	253	56	element	element	NOUN
fumecheng-12165	253	57	are	be	AUX
fumecheng-12165	253	58	shown	show	VERB
fumecheng-12165	253	59	in	in	ADP
fumecheng-12165	253	60	fig	fig	NOUN
fumecheng-12165	253	61	.	.	PUNCT
fumecheng-12165	254	1	6	6	NUM
fumecheng-12165	254	2	.	.	PUNCT
fumecheng-12165	254	3	the	the	DET
fumecheng-12165	254	4	sweet	sweet	ADJ
fumecheng-12165	254	5	spot	spot	NOUN
fumecheng-12165	254	6	could	could	AUX
fumecheng-12165	254	7	be	be	AUX
fumecheng-12165	254	8	visualized	visualize	VERB
fumecheng-12165	254	9	which	which	PRON
fumecheng-12165	254	10	showed	show	VERB
fumecheng-12165	254	11	the	the	DET
fumecheng-12165	254	12	maximum	maximum	ADJ
fumecheng-12165	254	13	deformation	deformation	NOUN
fumecheng-12165	254	14	location	location	NOUN
fumecheng-12165	254	15	points	point	NOUN
fumecheng-12165	254	16	.	.	PUNCT
fumecheng-12165	255	1	(	(	PUNCT
fumecheng-12165	255	2	c	c	X
fumecheng-12165	255	3	)	)	PUNCT
fumecheng-12165	255	4	(	(	PUNCT
fumecheng-12165	255	5	a	a	X
fumecheng-12165	255	6	)	)	PUNCT
fumecheng-12165	255	7	(	(	PUNCT
fumecheng-12165	255	8	b	b	NOUN
fumecheng-12165	255	9	)	)	PUNCT
fumecheng-12165	255	10	608	608	NUM
fumecheng-12165	255	11	y.	y.	PROPN
fumecheng-12165	255	12	elmoghazy	elmoghazy	PROPN
fumecheng-12165	255	13	,	,	PUNCT
fumecheng-12165	255	14	b.	b.	PROPN
fumecheng-12165	255	15	safaei	safaei	PROPN
fumecheng-12165	255	16	,	,	PUNCT
fumecheng-12165	255	17	s.	s.	PROPN
fumecheng-12165	255	18	sahmani	sahmani	PROPN
fumecheng-12165	255	19	fig	fig	PROPN
fumecheng-12165	255	20	.	.	PUNCT
fumecheng-12165	256	1	5	5	NUM
fumecheng-12165	256	2	flow	flow	NOUN
fumecheng-12165	256	3	chart	chart	NOUN
fumecheng-12165	256	4	of	of	ADP
fumecheng-12165	256	5	the	the	DET
fumecheng-12165	256	6	proposed	propose	VERB
fumecheng-12165	256	7	dynamics	dynamic	NOUN
fumecheng-12165	256	8	analysis	analysis	NOUN
fumecheng-12165	256	9	methodology	methodology	NOUN
fumecheng-12165	256	10	pre	pre	ADJ
fumecheng-12165	256	11	-	-	ADJ
fumecheng-12165	256	12	processing	processing	ADJ
fumecheng-12165	256	13	meshing	meshing	NOUN
fumecheng-12165	256	14	test	test	NOUN
fumecheng-12165	257	1	no	no	INTJ
fumecheng-12165	257	2	yes	yes	INTJ
fumecheng-12165	258	1	no	no	DET
fumecheng-12165	258	2	normal	normal	ADJ
fumecheng-12165	258	3	mode	mode	NOUN
fumecheng-12165	258	4	analysis	analysis	NOUN
fumecheng-12165	258	5	problem	problem	NOUN
fumecheng-12165	258	6	definition	definition	NOUN
fumecheng-12165	258	7	-mechanical	-mechanical	ADJ
fumecheng-12165	258	8	and	and	CCONJ
fumecheng-12165	258	9	geometrical	geometrical	ADJ
fumecheng-12165	258	10	specifications	specification	NOUN
fumecheng-12165	258	11	kinematics	kinematic	NOUN
fumecheng-12165	258	12	formulation	formulation	NOUN
fumecheng-12165	258	13	-fsdt	-fsdt	NOUN
fumecheng-12165	258	14	degree	degree	NOUN
fumecheng-12165	258	15	of	of	ADP
fumecheng-12165	258	16	freedom	freedom	NOUN
fumecheng-12165	258	17	-interpolation	-interpolation	NOUN
fumecheng-12165	258	18	shape	shape	NOUN
fumecheng-12165	258	19	function	function	NOUN
fumecheng-12165	258	20	fem	fem	NOUN
fumecheng-12165	258	21	mechanical	mechanical	PROPN
fumecheng-12165	258	22	assembly	assembly	PROPN
fumecheng-12165	258	23	-𝐾𝑒	-𝐾𝑒	PUNCT
fumecheng-12165	258	24	-𝑀𝑒	-𝑀𝑒	PUNCT
fumecheng-12165	258	25	discretization	discretization	NOUN
fumecheng-12165	258	26	(	(	PUNCT
fumecheng-12165	258	27	ke	ke	NOUN
fumecheng-12165	258	28	−ω∗2me)x	−ω∗2me)x	NOUN
fumecheng-12165	258	29	=	=	SYM
fumecheng-12165	258	30	0	0	NUM
fumecheng-12165	258	31	integral	integral	ADJ
fumecheng-12165	258	32	beam	beam	NOUN
fumecheng-12165	258	33	element	element	PROPN
fumecheng-12165	258	34	fe	fe	PROPN
fumecheng-12165	258	35	model	model	NOUN
fumecheng-12165	258	36	-abaqus	-abaqus	NOUN
fumecheng-12165	258	37	/	/	SYM
fumecheng-12165	258	38	explicit	explicit	ADJ
fumecheng-12165	258	39	boundary	boundary	ADJ
fumecheng-12165	258	40	conditions	condition	NOUN
fumecheng-12165	258	41	model	model	NOUN
fumecheng-12165	258	42	meshing	meshing	NOUN
fumecheng-12165	258	43	contact	contact	NOUN
fumecheng-12165	258	44	-tie	-tie	PUNCT
fumecheng-12165	258	45	constrains	constrain	VERB
fumecheng-12165	258	46	cps8	cps8	NOUN
fumecheng-12165	258	47	/	/	SYM
fumecheng-12165	258	48	c3d20	c3d20	PROPN
fumecheng-12165	258	49	element	element	NOUN
fumecheng-12165	258	50	complex	complex	ADJ
fumecheng-12165	258	51	frequency	frequency	NOUN
fumecheng-12165	258	52	𝝎∗	𝝎∗	PROPN
fumecheng-12165	258	53	material	material	NOUN
fumecheng-12165	258	54	loss	loss	NOUN
fumecheng-12165	258	55	factor	factor	NOUN
fumecheng-12165	258	56	𝜼𝒗	𝜼𝒗	NOUN
fumecheng-12165	258	57	ve	ve	PROPN
fumecheng-12165	258	58	core	core	NOUN
fumecheng-12165	258	59	thickness	thickness	NOUN
fumecheng-12165	258	60	model	model	NOUN
fumecheng-12165	258	61	frequency	frequency	PROPN
fumecheng-12165	258	62	𝝎𝒏	𝝎𝒏	PROPN
fumecheng-12165	258	63	model	model	NOUN
fumecheng-12165	258	64	loss	loss	NOUN
fumecheng-12165	258	65	factor	factor	NOUN
fumecheng-12165	258	66	𝜼𝒏	𝜼𝒏	ADV
fumecheng-12165	258	67	𝝎𝒏	𝝎𝒏	PROPN
fumecheng-12165	258	68	=	=	PUNCT
fumecheng-12165	258	69	√𝑹𝒆𝝎∗	√𝑹𝒆𝝎∗	NOUN
fumecheng-12165	258	70	harmonic	harmonic	VERB
fumecheng-12165	258	71	load	load	NOUN
fumecheng-12165	258	72	excitations	excitation	NOUN
fumecheng-12165	258	73	frf	frf	NUM
fumecheng-12165	258	74	steady	steady	ADJ
fumecheng-12165	258	75	-	-	PUNCT
fumecheng-12165	258	76	state	state	NOUN
fumecheng-12165	258	77	response	response	NOUN
fumecheng-12165	258	78	parametric	parametric	ADJ
fumecheng-12165	258	79	study	study	NOUN
fumecheng-12165	258	80	609	609	NUM
fumecheng-12165	258	81	dynamics	dynamic	NOUN
fumecheng-12165	258	82	analysis	analysis	NOUN
fumecheng-12165	258	83	of	of	ADP
fumecheng-12165	258	84	viscoelastic	viscoelastic	NOUN
fumecheng-12165	258	85	sandwiched	sandwich	VERB
fumecheng-12165	258	86	structures	structure	NOUN
fumecheng-12165	258	87	integrated	integrate	VERB
fumecheng-12165	258	88	with	with	ADP
fumecheng-12165	258	89	aluminum	aluminum	NOUN
fumecheng-12165	258	90	sheets	sheet	NOUN
fumecheng-12165	258	91	fig	fig	NOUN
fumecheng-12165	258	92	.	.	PUNCT
fumecheng-12165	259	1	6	6	NUM
fumecheng-12165	259	2	fundamental	fundamental	ADJ
fumecheng-12165	259	3	eigenmodes	eigenmode	NOUN
fumecheng-12165	259	4	shape	shape	NOUN
fumecheng-12165	259	5	of	of	ADP
fumecheng-12165	259	6	viscoelastic	viscoelastic	ADJ
fumecheng-12165	259	7	sandwich	sandwich	NOUN
fumecheng-12165	259	8	ssss	ssss	NOUN
fumecheng-12165	259	9	plate	plate	NOUN
fumecheng-12165	259	10	:	:	PUNCT
fumecheng-12165	259	11	(	(	PUNCT
fumecheng-12165	259	12	a	a	X
fumecheng-12165	259	13	)	)	PUNCT
fumecheng-12165	259	14	first	first	ADJ
fumecheng-12165	259	15	mode	mode	NOUN
fumecheng-12165	259	16	,	,	PUNCT
fumecheng-12165	259	17	(	(	PUNCT
fumecheng-12165	259	18	b	b	X
fumecheng-12165	259	19	)	)	PUNCT
fumecheng-12165	259	20	second	second	ADJ
fumecheng-12165	259	21	mode	mode	NOUN
fumecheng-12165	259	22	,	,	PUNCT
fumecheng-12165	259	23	(	(	PUNCT
fumecheng-12165	259	24	c	c	X
fumecheng-12165	259	25	)	)	PUNCT
fumecheng-12165	259	26	third	third	ADJ
fumecheng-12165	259	27	mode	mode	NOUN
fumecheng-12165	259	28	,	,	PUNCT
fumecheng-12165	259	29	(	(	PUNCT
fumecheng-12165	259	30	d	d	X
fumecheng-12165	259	31	)	)	PUNCT
fumecheng-12165	259	32	forth	forth	ADV
fumecheng-12165	259	33	mode	mode	NOUN
fumecheng-12165	259	34	tables	table	NOUN
fumecheng-12165	259	35	8	8	NUM
fumecheng-12165	259	36	and	and	CCONJ
fumecheng-12165	259	37	9	9	NUM
fumecheng-12165	259	38	show	show	VERB
fumecheng-12165	259	39	the	the	DET
fumecheng-12165	259	40	calculated	calculate	VERB
fumecheng-12165	259	41	results	result	NOUN
fumecheng-12165	259	42	of	of	ADP
fumecheng-12165	259	43	natural	natural	ADJ
fumecheng-12165	259	44	frequency	frequency	NOUN
fumecheng-12165	259	45	and	and	CCONJ
fumecheng-12165	259	46	normalized	normalize	VERB
fumecheng-12165	259	47	loss	loss	NOUN
fumecheng-12165	259	48	factor	factor	NOUN
fumecheng-12165	259	49	,	,	PUNCT
fumecheng-12165	259	50	respectively	respectively	ADV
fumecheng-12165	259	51	.	.	PUNCT
fumecheng-12165	260	1	it	it	PRON
fumecheng-12165	260	2	is	be	AUX
fumecheng-12165	260	3	clear	clear	ADJ
fumecheng-12165	260	4	from	from	ADP
fumecheng-12165	260	5	tables	table	NOUN
fumecheng-12165	260	6	8	8	NUM
fumecheng-12165	260	7	and	and	CCONJ
fumecheng-12165	260	8	9	9	NUM
fumecheng-12165	260	9	that	that	PRON
fumecheng-12165	260	10	c3d20	c3d20	VERB
fumecheng-12165	260	11	element	element	NOUN
fumecheng-12165	260	12	had	have	VERB
fumecheng-12165	260	13	good	good	ADJ
fumecheng-12165	260	14	accuracy	accuracy	NOUN
fumecheng-12165	260	15	in	in	ADP
fumecheng-12165	260	16	predicting	predict	VERB
fumecheng-12165	260	17	the	the	DET
fumecheng-12165	260	18	damping	damp	VERB
fumecheng-12165	260	19	characteristics	characteristic	NOUN
fumecheng-12165	260	20	of	of	ADP
fumecheng-12165	260	21	ve	ve	VERB
fumecheng-12165	260	22	sandwich	sandwich	NOUN
fumecheng-12165	260	23	ssss	ssss	NOUN
fumecheng-12165	260	24	plate	plate	NOUN
fumecheng-12165	260	25	against	against	ADP
fumecheng-12165	260	26	analytical	analytical	ADJ
fumecheng-12165	260	27	solution	solution	NOUN
fumecheng-12165	260	28	with	with	ADP
fumecheng-12165	260	29	an	an	DET
fumecheng-12165	260	30	average	average	ADJ
fumecheng-12165	260	31	error	error	NOUN
fumecheng-12165	260	32	in	in	ADP
fumecheng-12165	260	33	predicting	predict	VERB
fumecheng-12165	260	34	the	the	DET
fumecheng-12165	260	35	fundamental	fundamental	ADJ
fumecheng-12165	260	36	natural	natural	ADJ
fumecheng-12165	260	37	frequency	frequency	NOUN
fumecheng-12165	260	38	of	of	ADP
fumecheng-12165	260	39	less	less	ADJ
fumecheng-12165	260	40	than	than	ADP
fumecheng-12165	260	41	0.4	0.4	NUM
fumecheng-12165	260	42	%	%	NOUN
fumecheng-12165	260	43	and	and	CCONJ
fumecheng-12165	260	44	an	an	DET
fumecheng-12165	260	45	average	average	ADJ
fumecheng-12165	260	46	error	error	NOUN
fumecheng-12165	260	47	of	of	ADP
fumecheng-12165	260	48	less	less	ADJ
fumecheng-12165	260	49	than	than	ADP
fumecheng-12165	260	50	6.5	6.5	NUM
fumecheng-12165	260	51	%	%	NOUN
fumecheng-12165	260	52	in	in	ADP
fumecheng-12165	260	53	predicting	predict	VERB
fumecheng-12165	260	54	the	the	DET
fumecheng-12165	260	55	damping	damp	VERB
fumecheng-12165	260	56	loss	loss	NOUN
fumecheng-12165	260	57	factor	factor	NOUN
fumecheng-12165	260	58	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	260	59	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	260	60	of	of	ADP
fumecheng-12165	260	61	ve	ve	NOUN
fumecheng-12165	260	62	sandwich	sandwich	NOUN
fumecheng-12165	260	63	plate	plate	NOUN
fumecheng-12165	260	64	.	.	PUNCT
fumecheng-12165	261	1	in	in	ADP
fumecheng-12165	261	2	addition	addition	NOUN
fumecheng-12165	261	3	,	,	PUNCT
fumecheng-12165	261	4	it	it	PRON
fumecheng-12165	261	5	can	can	AUX
fumecheng-12165	261	6	be	be	AUX
fumecheng-12165	261	7	noticed	notice	VERB
fumecheng-12165	261	8	from	from	ADP
fumecheng-12165	261	9	tables	table	NOUN
fumecheng-12165	261	10	8	8	NUM
fumecheng-12165	261	11	and	and	CCONJ
fumecheng-12165	261	12	9	9	NUM
fumecheng-12165	261	13	that	that	PRON
fumecheng-12165	261	14	,	,	PUNCT
fumecheng-12165	261	15	while	while	SCONJ
fumecheng-12165	261	16	increasing	increase	VERB
fumecheng-12165	261	17	the	the	DET
fumecheng-12165	261	18	mesh	mesh	NOUN
fumecheng-12165	261	19	size	size	NOUN
fumecheng-12165	261	20	the	the	DET
fumecheng-12165	261	21	error	error	NOUN
fumecheng-12165	261	22	slightly	slightly	ADV
fumecheng-12165	261	23	decreases	decrease	VERB
fumecheng-12165	261	24	but	but	CCONJ
fumecheng-12165	261	25	this	this	PRON
fumecheng-12165	261	26	increases	increase	VERB
fumecheng-12165	261	27	the	the	DET
fumecheng-12165	261	28	time	time	NOUN
fumecheng-12165	261	29	computation	computation	NOUN
fumecheng-12165	261	30	of	of	ADP
fumecheng-12165	261	31	the	the	DET
fumecheng-12165	261	32	whole	whole	ADJ
fumecheng-12165	261	33	fe	fe	NOUN
fumecheng-12165	261	34	process	process	NOUN
fumecheng-12165	261	35	.	.	PUNCT
fumecheng-12165	262	1	thus	thus	ADV
fumecheng-12165	262	2	,	,	PUNCT
fumecheng-12165	262	3	there	there	PRON
fumecheng-12165	262	4	exists	exist	VERB
fumecheng-12165	262	5	a	a	DET
fumecheng-12165	262	6	trade	trade	NOUN
fumecheng-12165	262	7	-	-	PUNCT
fumecheng-12165	262	8	off	off	NOUN
fumecheng-12165	262	9	between	between	ADP
fumecheng-12165	262	10	mesh	mesh	NOUN
fumecheng-12165	262	11	refinement	refinement	NOUN
fumecheng-12165	262	12	and	and	CCONJ
fumecheng-12165	262	13	computational	computational	ADJ
fumecheng-12165	262	14	efficiency	efficiency	NOUN
fumecheng-12165	262	15	in	in	ADP
fumecheng-12165	262	16	the	the	DET
fumecheng-12165	262	17	fe	fe	NOUN
fumecheng-12165	262	18	analysis	analysis	NOUN
fumecheng-12165	262	19	.	.	PUNCT
fumecheng-12165	263	1	table	table	NOUN
fumecheng-12165	263	2	8	8	NUM
fumecheng-12165	263	3	linear	linear	NOUN
fumecheng-12165	263	4	complex	complex	ADJ
fumecheng-12165	263	5	natural	natural	ADJ
fumecheng-12165	263	6	frequencies	frequency	NOUN
fumecheng-12165	263	7	of	of	ADP
fumecheng-12165	263	8	ve	ve	VERB
fumecheng-12165	263	9	sandwich	sandwich	NOUN
fumecheng-12165	263	10	plate	plate	NOUN
fumecheng-12165	263	11	obtained	obtain	VERB
fumecheng-12165	263	12	for	for	ADP
fumecheng-12165	263	13	different	different	ADJ
fumecheng-12165	263	14	mesh	mesh	NOUN
fumecheng-12165	263	15	sizes	size	NOUN
fumecheng-12165	263	16	of	of	ADP
fumecheng-12165	263	17	c3d20	c3d20	PROPN
fumecheng-12165	263	18	element	element	NOUN
fumecheng-12165	263	19	mode	mode	NOUN
fumecheng-12165	263	20	mse	mse	PROPN
fumecheng-12165	263	21	method	method	NOUN
fumecheng-12165	264	1	[	[	X
fumecheng-12165	264	2	38	38	NUM
fumecheng-12165	264	3	]	]	PUNCT
fumecheng-12165	264	4	c3d20	c3d20	VERB
fumecheng-12165	264	5	2200×120	2200×120	NUM
fumecheng-12165	264	6	c3d20	c3d20	VERB
fumecheng-12165	264	7	1050×255	1050×255	NUM
fumecheng-12165	264	8	natural	natural	ADJ
fumecheng-12165	264	9	frequency	frequency	NOUN
fumecheng-12165	264	10	𝜔𝑛	𝜔𝑛	NOUN
fumecheng-12165	264	11	(	(	PUNCT
fumecheng-12165	264	12	hz	hz	NOUN
fumecheng-12165	264	13	)	)	PUNCT
fumecheng-12165	264	14	natural	natural	ADJ
fumecheng-12165	264	15	frequency	frequency	NOUN
fumecheng-12165	264	16	𝜔𝑛	𝜔𝑛	NOUN
fumecheng-12165	264	17	(	(	PUNCT
fumecheng-12165	264	18	hz	hz	NOUN
fumecheng-12165	264	19	)	)	PUNCT
fumecheng-12165	264	20	error	error	NOUN
fumecheng-12165	264	21	(	(	PUNCT
fumecheng-12165	264	22	%	%	INTJ
fumecheng-12165	264	23	)	)	PUNCT
fumecheng-12165	264	24	natural	natural	ADJ
fumecheng-12165	264	25	frequency	frequency	NOUN
fumecheng-12165	264	26	𝜔𝑛	𝜔𝑛	NOUN
fumecheng-12165	264	27	(	(	PUNCT
fumecheng-12165	264	28	hz	hz	NOUN
fumecheng-12165	264	29	)	)	PUNCT
fumecheng-12165	264	30	error	error	NOUN
fumecheng-12165	264	31	(	(	PUNCT
fumecheng-12165	264	32	%	%	NOUN
fumecheng-12165	264	33	)	)	PUNCT
fumecheng-12165	264	34	1	1	NUM
fumecheng-12165	264	35	57.4	57.4	NUM
fumecheng-12165	264	36	57.3	57.3	NUM
fumecheng-12165	264	37	0.174	0.174	NUM
fumecheng-12165	264	38	57.2	57.2	NUM
fumecheng-12165	264	39	0.348	0.348	NUM
fumecheng-12165	264	40	2	2	NUM
fumecheng-12165	264	41	113.2	113.2	NUM
fumecheng-12165	264	42	113.5	113.5	NUM
fumecheng-12165	264	43	0.265	0.265	NUM
fumecheng-12165	264	44	113.3	113.3	NUM
fumecheng-12165	264	45	0.088	0.088	NUM
fumecheng-12165	264	46	3	3	NUM
fumecheng-12165	264	47	129.3	129.3	NUM
fumecheng-12165	264	48	129.5	129.5	NUM
fumecheng-12165	264	49	0.155	0.155	NUM
fumecheng-12165	264	50	129.1	129.1	NUM
fumecheng-12165	264	51	0.155	0.155	NUM
fumecheng-12165	264	52	4	4	NUM
fumecheng-12165	264	53	179.3	179.3	NUM
fumecheng-12165	264	54	177.7	177.7	NUM
fumecheng-12165	264	55	0.892	0.892	NUM
fumecheng-12165	264	56	177.1	177.1	NUM
fumecheng-12165	264	57	1.227	1.227	NUM
fumecheng-12165	264	58	average	average	ADJ
fumecheng-12165	264	59	0.372	0.372	NUM
fumecheng-12165	264	60	0.454	0.454	NUM
fumecheng-12165	264	61	table	table	NOUN
fumecheng-12165	264	62	9	9	NUM
fumecheng-12165	264	63	normalized	normalize	VERB
fumecheng-12165	264	64	loss	loss	NOUN
fumecheng-12165	264	65	factor	factor	NOUN
fumecheng-12165	264	66	of	of	ADP
fumecheng-12165	264	67	ve	ve	VERB
fumecheng-12165	264	68	sandwich	sandwich	NOUN
fumecheng-12165	264	69	plate	plate	NOUN
fumecheng-12165	264	70	obtained	obtain	VERB
fumecheng-12165	264	71	for	for	ADP
fumecheng-12165	264	72	different	different	ADJ
fumecheng-12165	264	73	mesh	mesh	NOUN
fumecheng-12165	264	74	sizes	size	NOUN
fumecheng-12165	264	75	of	of	ADP
fumecheng-12165	264	76	c3d20	c3d20	PROPN
fumecheng-12165	264	77	element	element	NOUN
fumecheng-12165	264	78	mode	mode	NOUN
fumecheng-12165	264	79	mse	mse	PROPN
fumecheng-12165	264	80	method	method	NOUN
fumecheng-12165	265	1	[	[	X
fumecheng-12165	265	2	38	38	NUM
fumecheng-12165	265	3	]	]	PUNCT
fumecheng-12165	265	4	c3d20	c3d20	VERB
fumecheng-12165	265	5	2200×120	2200×120	NUM
fumecheng-12165	265	6	c3d20	c3d20	NUM
fumecheng-12165	265	7	1050×255	1050×255	NUM
fumecheng-12165	265	8	loss	loss	NOUN
fumecheng-12165	265	9	factor	factor	NOUN
fumecheng-12165	265	10	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	265	11	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	265	12	loss	loss	NOUN
fumecheng-12165	265	13	factor	factor	NOUN
fumecheng-12165	265	14	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	265	15	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	265	16	error	error	NOUN
fumecheng-12165	265	17	(	(	PUNCT
fumecheng-12165	265	18	%	%	INTJ
fumecheng-12165	265	19	)	)	PUNCT
fumecheng-12165	265	20	loss	loss	NOUN
fumecheng-12165	265	21	factor	factor	NOUN
fumecheng-12165	265	22	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	265	23	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	265	24	error	error	NOUN
fumecheng-12165	265	25	(	(	PUNCT
fumecheng-12165	265	26	%	%	NOUN
fumecheng-12165	265	27	)	)	PUNCT
fumecheng-12165	265	28	1	1	NUM
fumecheng-12165	265	29	0.352	0.352	NUM
fumecheng-12165	265	30	0.366	0.366	NUM
fumecheng-12165	265	31	3.98	3.98	NUM
fumecheng-12165	265	32	0.366	0.366	NUM
fumecheng-12165	265	33	3.963	3.963	NUM
fumecheng-12165	265	34	2	2	NUM
fumecheng-12165	265	35	0.376	0.376	NUM
fumecheng-12165	265	36	0.394	0.394	NUM
fumecheng-12165	265	37	4.79	4.79	NUM
fumecheng-12165	265	38	0.396	0.396	NUM
fumecheng-12165	265	39	5.342	5.342	NUM
fumecheng-12165	265	40	3	3	NUM
fumecheng-12165	265	41	0.376	0.376	NUM
fumecheng-12165	265	42	0.390	0.390	NUM
fumecheng-12165	265	43	3.72	3.72	NUM
fumecheng-12165	265	44	0.391	0.391	NUM
fumecheng-12165	265	45	4.038	4.038	NUM
fumecheng-12165	265	46	4	4	NUM
fumecheng-12165	265	47	0.306	0.306	NUM
fumecheng-12165	265	48	0.346	0.346	NUM
fumecheng-12165	265	49	13.07	13.07	NUM
fumecheng-12165	265	50	0.348	0.348	NUM
fumecheng-12165	265	51	13.835	13.835	NUM
fumecheng-12165	265	52	average	average	NOUN
fumecheng-12165	265	53	6.39	6.39	NUM
fumecheng-12165	265	54	6.794	6.794	NUM
fumecheng-12165	265	55	a	a	PRON
fumecheng-12165	265	56	)	)	PUNCT
fumecheng-12165	265	57	first	first	ADJ
fumecheng-12165	265	58	mode	mode	PROPN
fumecheng-12165	265	59	b	b	NOUN
fumecheng-12165	265	60	)	)	PUNCT
fumecheng-12165	265	61	second	second	ADJ
fumecheng-12165	265	62	mode	mode	NOUN
fumecheng-12165	265	63	c	c	NOUN
fumecheng-12165	265	64	)	)	PUNCT
fumecheng-12165	265	65	third	third	ADJ
fumecheng-12165	265	66	mode	mode	NOUN
fumecheng-12165	265	67	d	d	NOUN
fumecheng-12165	265	68	)	)	PUNCT
fumecheng-12165	265	69	forth	forth	ADV
fumecheng-12165	265	70	mode	mode	NOUN
fumecheng-12165	265	71	610	610	NUM
fumecheng-12165	265	72	y.	y.	PROPN
fumecheng-12165	265	73	elmoghazy	elmoghazy	PROPN
fumecheng-12165	265	74	,	,	PUNCT
fumecheng-12165	265	75	b.	b.	PROPN
fumecheng-12165	265	76	safaei	safaei	PROPN
fumecheng-12165	265	77	,	,	PUNCT
fumecheng-12165	265	78	s.	s.	PROPN
fumecheng-12165	265	79	sahmani	sahmani	PROPN
fumecheng-12165	265	80	4.2	4.2	NUM
fumecheng-12165	265	81	.	.	PUNCT
fumecheng-12165	266	1	parametric	parametric	ADJ
fumecheng-12165	266	2	studies	study	NOUN
fumecheng-12165	266	3	it	it	PRON
fumecheng-12165	266	4	is	be	AUX
fumecheng-12165	266	5	required	require	VERB
fumecheng-12165	266	6	to	to	PART
fumecheng-12165	266	7	examine	examine	VERB
fumecheng-12165	266	8	the	the	DET
fumecheng-12165	266	9	effects	effect	NOUN
fumecheng-12165	266	10	of	of	ADP
fumecheng-12165	266	11	various	various	ADJ
fumecheng-12165	266	12	parameters	parameter	NOUN
fumecheng-12165	266	13	on	on	ADP
fumecheng-12165	266	14	the	the	DET
fumecheng-12165	266	15	vibration	vibration	NOUN
fumecheng-12165	266	16	characteristics	characteristic	NOUN
fumecheng-12165	266	17	of	of	ADP
fumecheng-12165	266	18	ve	ve	VERB
fumecheng-12165	266	19	sandwich	sandwich	NOUN
fumecheng-12165	266	20	beam	beam	NOUN
fumecheng-12165	266	21	.	.	PUNCT
fumecheng-12165	267	1	the	the	DET
fumecheng-12165	267	2	thickness	thickness	NOUN
fumecheng-12165	267	3	of	of	ADP
fumecheng-12165	267	4	the	the	DET
fumecheng-12165	267	5	core	core	NOUN
fumecheng-12165	267	6	and	and	CCONJ
fumecheng-12165	267	7	ve	ve	VERB
fumecheng-12165	267	8	core	core	NOUN
fumecheng-12165	267	9	loss	loss	NOUN
fumecheng-12165	267	10	factor	factor	NOUN
fumecheng-12165	267	11	are	be	AUX
fumecheng-12165	267	12	varied	varied	ADJ
fumecheng-12165	267	13	which	which	PRON
fumecheng-12165	267	14	affects	affect	VERB
fumecheng-12165	267	15	natural	natural	ADJ
fumecheng-12165	267	16	frequency	frequency	NOUN
fumecheng-12165	267	17	and	and	CCONJ
fumecheng-12165	267	18	mode	mode	NOUN
fumecheng-12165	267	19	shape	shape	NOUN
fumecheng-12165	267	20	.	.	PUNCT
fumecheng-12165	268	1	4.2.1	4.2.1	NUM
fumecheng-12165	268	2	effect	effect	NOUN
fumecheng-12165	268	3	of	of	ADP
fumecheng-12165	268	4	ve	ve	NOUN
fumecheng-12165	268	5	material	material	NOUN
fumecheng-12165	268	6	loss	loss	NOUN
fumecheng-12165	268	7	factor	factor	NOUN
fumecheng-12165	268	8	on	on	ADP
fumecheng-12165	268	9	the	the	DET
fumecheng-12165	268	10	dynamic	dynamic	ADJ
fumecheng-12165	268	11	characteristics	characteristic	NOUN
fumecheng-12165	268	12	of	of	ADP
fumecheng-12165	268	13	ve	ve	VERB
fumecheng-12165	268	14	sandwich	sandwich	NOUN
fumecheng-12165	268	15	beam	beam	NOUN
fumecheng-12165	268	16	to	to	PART
fumecheng-12165	268	17	study	study	VERB
fumecheng-12165	268	18	the	the	DET
fumecheng-12165	268	19	influence	influence	NOUN
fumecheng-12165	268	20	of	of	ADP
fumecheng-12165	268	21	ve	ve	NOUN
fumecheng-12165	268	22	loss	loss	NOUN
fumecheng-12165	268	23	factor	factor	NOUN
fumecheng-12165	268	24	on	on	ADP
fumecheng-12165	268	25	the	the	DET
fumecheng-12165	268	26	dynamic	dynamic	ADJ
fumecheng-12165	268	27	characteristics	characteristic	NOUN
fumecheng-12165	268	28	of	of	ADP
fumecheng-12165	268	29	natural	natural	ADJ
fumecheng-12165	268	30	frequency	frequency	NOUN
fumecheng-12165	268	31	,	,	PUNCT
fumecheng-12165	268	32	ve	ve	NOUN
fumecheng-12165	268	33	loss	loss	NOUN
fumecheng-12165	268	34	factor	factor	NOUN
fumecheng-12165	268	35	is	be	AUX
fumecheng-12165	268	36	varied	varied	ADJ
fumecheng-12165	268	37	in	in	ADP
fumecheng-12165	268	38	the	the	DET
fumecheng-12165	268	39	range	range	NOUN
fumecheng-12165	268	40	of	of	ADP
fumecheng-12165	268	41	0.1	0.1	NUM
fumecheng-12165	268	42	to	to	ADP
fumecheng-12165	268	43	1.5	1.5	NUM
fumecheng-12165	268	44	and	and	CCONJ
fumecheng-12165	268	45	the	the	DET
fumecheng-12165	268	46	change	change	NOUN
fumecheng-12165	268	47	trends	trend	NOUN
fumecheng-12165	268	48	of	of	ADP
fumecheng-12165	268	49	natural	natural	ADJ
fumecheng-12165	268	50	frequency	frequency	NOUN
fumecheng-12165	268	51	and	and	CCONJ
fumecheng-12165	268	52	normalized	normalize	VERB
fumecheng-12165	268	53	loss	loss	NOUN
fumecheng-12165	268	54	factor	factor	NOUN
fumecheng-12165	268	55	corresponding	correspond	VERB
fumecheng-12165	268	56	to	to	ADP
fumecheng-12165	268	57	the	the	DET
fumecheng-12165	268	58	fundamental	fundamental	ADJ
fumecheng-12165	268	59	modes	mode	NOUN
fumecheng-12165	268	60	of	of	ADP
fumecheng-12165	268	61	c	c	PROPN
fumecheng-12165	268	62	-	-	PUNCT
fumecheng-12165	268	63	f	f	NOUN
fumecheng-12165	268	64	ve	ve	AUX
fumecheng-12165	268	65	sandwich	sandwich	NOUN
fumecheng-12165	268	66	beam	beam	NOUN
fumecheng-12165	268	67	are	be	AUX
fumecheng-12165	268	68	illustrated	illustrate	VERB
fumecheng-12165	268	69	in	in	ADP
fumecheng-12165	268	70	fig	fig	NOUN
fumecheng-12165	268	71	.	.	PUNCT
fumecheng-12165	269	1	7	7	X
fumecheng-12165	269	2	.	.	X
fumecheng-12165	269	3	the	the	DET
fumecheng-12165	269	4	fundamental	fundamental	ADJ
fumecheng-12165	269	5	natural	natural	ADJ
fumecheng-12165	269	6	frequencies	frequency	NOUN
fumecheng-12165	269	7	of	of	ADP
fumecheng-12165	269	8	ve	ve	VERB
fumecheng-12165	269	9	sandwich	sandwich	NOUN
fumecheng-12165	269	10	beams	beam	NOUN
fumecheng-12165	269	11	only	only	ADV
fumecheng-12165	269	12	increased	increase	VERB
fumecheng-12165	269	13	minimally	minimally	ADV
fumecheng-12165	269	14	when	when	SCONJ
fumecheng-12165	269	15	the	the	DET
fumecheng-12165	269	16	loss	loss	NOUN
fumecheng-12165	269	17	factor	factor	NOUN
fumecheng-12165	269	18	was	be	AUX
fumecheng-12165	269	19	increased	increase	VERB
fumecheng-12165	269	20	from	from	ADP
fumecheng-12165	269	21	0.1	0.1	NUM
fumecheng-12165	269	22	to	to	ADP
fumecheng-12165	269	23	1.5	1.5	NUM
fumecheng-12165	269	24	,	,	PUNCT
fumecheng-12165	269	25	indicating	indicate	VERB
fumecheng-12165	269	26	that	that	SCONJ
fumecheng-12165	269	27	𝜂𝑣	𝜂𝑣	AUX
fumecheng-12165	269	28	have	have	VERB
fumecheng-12165	269	29	little	little	ADJ
fumecheng-12165	269	30	effect	effect	NOUN
fumecheng-12165	269	31	on	on	ADP
fumecheng-12165	269	32	the	the	DET
fumecheng-12165	269	33	natural	natural	ADJ
fumecheng-12165	269	34	frequencies	frequency	NOUN
fumecheng-12165	269	35	of	of	ADP
fumecheng-12165	269	36	ve	ve	VERB
fumecheng-12165	269	37	sandwich	sandwich	NOUN
fumecheng-12165	269	38	beams	beam	NOUN
fumecheng-12165	269	39	.	.	PUNCT
fumecheng-12165	270	1	constant	constant	ADJ
fumecheng-12165	270	2	complex	complex	ADJ
fumecheng-12165	270	3	module	module	NOUN
fumecheng-12165	270	4	𝐸′(1	𝐸′(1	NOUN
fumecheng-12165	270	5	+	+	CCONJ
fumecheng-12165	270	6	𝑗𝜂𝑣	𝑗𝜂𝑣	NOUN
fumecheng-12165	270	7	)	)	PUNCT
fumecheng-12165	270	8	,	,	PUNCT
fumecheng-12165	270	9	showed	show	VERB
fumecheng-12165	270	10	that	that	SCONJ
fumecheng-12165	270	11	the	the	DET
fumecheng-12165	270	12	complex	complex	ADJ
fumecheng-12165	270	13	elastic	elastic	ADJ
fumecheng-12165	270	14	modulus	modulus	NOUN
fumecheng-12165	270	15	𝐸∗	𝐸∗	NOUN
fumecheng-12165	270	16	of	of	ADP
fumecheng-12165	270	17	ve	ve	PROPN
fumecheng-12165	270	18	material	material	NOUN
fumecheng-12165	270	19	is	be	AUX
fumecheng-12165	270	20	directly	directly	ADV
fumecheng-12165	270	21	proportional	proportional	ADJ
fumecheng-12165	270	22	to	to	ADP
fumecheng-12165	270	23	the	the	DET
fumecheng-12165	270	24	loss	loss	NOUN
fumecheng-12165	270	25	factor	factor	NOUN
fumecheng-12165	270	26	.	.	PUNCT
fumecheng-12165	271	1	in	in	ADP
fumecheng-12165	271	2	addition	addition	NOUN
fumecheng-12165	271	3	,	,	PUNCT
fumecheng-12165	271	4	the	the	DET
fumecheng-12165	271	5	stiffness	stiffness	NOUN
fumecheng-12165	271	6	of	of	ADP
fumecheng-12165	271	7	ve	ve	NOUN
fumecheng-12165	271	8	layer	layer	NOUN
fumecheng-12165	271	9	and	and	CCONJ
fumecheng-12165	271	10	the	the	DET
fumecheng-12165	271	11	stiffness	stiffness	NOUN
fumecheng-12165	271	12	of	of	ADP
fumecheng-12165	271	13	the	the	DET
fumecheng-12165	271	14	entire	entire	ADJ
fumecheng-12165	271	15	ve	ve	VERB
fumecheng-12165	271	16	sandwich	sandwich	NOUN
fumecheng-12165	271	17	beam	beam	NOUN
fumecheng-12165	271	18	increased	increase	VERB
fumecheng-12165	271	19	.	.	PUNCT
fumecheng-12165	272	1	since	since	SCONJ
fumecheng-12165	272	2	the	the	DET
fumecheng-12165	272	3	mass	mass	NOUN
fumecheng-12165	272	4	of	of	ADP
fumecheng-12165	272	5	ve	ve	VERB
fumecheng-12165	272	6	sandwich	sandwich	NOUN
fumecheng-12165	272	7	beam	beam	NOUN
fumecheng-12165	272	8	did	do	AUX
fumecheng-12165	272	9	not	not	PART
fumecheng-12165	272	10	vary	vary	VERB
fumecheng-12165	272	11	,	,	PUNCT
fumecheng-12165	272	12	the	the	DET
fumecheng-12165	272	13	fundamental	fundamental	ADJ
fumecheng-12165	272	14	frequency	frequency	NOUN
fumecheng-12165	272	15	of	of	ADP
fumecheng-12165	272	16	the	the	DET
fumecheng-12165	272	17	beam	beam	NOUN
fumecheng-12165	272	18	was	be	AUX
fumecheng-12165	272	19	increased	increase	VERB
fumecheng-12165	272	20	.	.	PUNCT
fumecheng-12165	273	1	however	however	ADV
fumecheng-12165	273	2	,	,	PUNCT
fumecheng-12165	273	3	as	as	SCONJ
fumecheng-12165	273	4	shown	show	VERB
fumecheng-12165	273	5	in	in	ADP
fumecheng-12165	273	6	table	table	NOUN
fumecheng-12165	273	7	1	1	NUM
fumecheng-12165	273	8	,	,	PUNCT
fumecheng-12165	273	9	the	the	DET
fumecheng-12165	273	10	elastic	elastic	ADJ
fumecheng-12165	273	11	modulus	modulus	NOUN
fumecheng-12165	273	12	of	of	ADP
fumecheng-12165	273	13	ve	ve	NOUN
fumecheng-12165	273	14	layer	layer	NOUN
fumecheng-12165	273	15	was	be	AUX
fumecheng-12165	273	16	four	four	NUM
fumecheng-12165	273	17	times	time	NOUN
fumecheng-12165	273	18	lower	low	ADJ
fumecheng-12165	273	19	than	than	ADP
fumecheng-12165	273	20	the	the	DET
fumecheng-12165	273	21	elastic	elastic	ADJ
fumecheng-12165	273	22	modulus	modulus	NOUN
fumecheng-12165	273	23	of	of	ADP
fumecheng-12165	273	24	elastic	elastic	ADJ
fumecheng-12165	273	25	layers	layer	NOUN
fumecheng-12165	273	26	,	,	PUNCT
fumecheng-12165	273	27	thus	thus	ADV
fumecheng-12165	273	28	the	the	DET
fumecheng-12165	273	29	increase	increase	NOUN
fumecheng-12165	273	30	in	in	ADP
fumecheng-12165	273	31	stiffness	stiffness	NOUN
fumecheng-12165	273	32	induced	induce	VERB
fumecheng-12165	273	33	by	by	ADP
fumecheng-12165	273	34	the	the	DET
fumecheng-12165	273	35	loss	loss	NOUN
fumecheng-12165	273	36	factor	factor	NOUN
fumecheng-12165	273	37	of	of	ADP
fumecheng-12165	273	38	ve	ve	NOUN
fumecheng-12165	273	39	layer	layer	NOUN
fumecheng-12165	273	40	could	could	AUX
fumecheng-12165	273	41	only	only	ADV
fumecheng-12165	273	42	make	make	VERB
fumecheng-12165	273	43	ve	ve	AUX
fumecheng-12165	273	44	sandwich	sandwich	VERB
fumecheng-12165	273	45	c	c	NOUN
fumecheng-12165	273	46	-	-	PUNCT
fumecheng-12165	273	47	f	f	PROPN
fumecheng-12165	273	48	beam	beam	NOUN
fumecheng-12165	273	49	stiffer	stiff	ADJ
fumecheng-12165	273	50	.	.	PUNCT
fumecheng-12165	274	1	under	under	ADP
fumecheng-12165	274	2	the	the	DET
fumecheng-12165	274	3	condition	condition	NOUN
fumecheng-12165	274	4	of	of	ADP
fumecheng-12165	274	5	constant	constant	ADJ
fumecheng-12165	274	6	mass	mass	NOUN
fumecheng-12165	274	7	,	,	PUNCT
fumecheng-12165	274	8	the	the	DET
fumecheng-12165	274	9	natural	natural	ADJ
fumecheng-12165	274	10	frequencies	frequency	NOUN
fumecheng-12165	274	11	of	of	ADP
fumecheng-12165	274	12	ve	ve	VERB
fumecheng-12165	274	13	sandwich	sandwich	NOUN
fumecheng-12165	274	14	c	c	PROPN
fumecheng-12165	274	15	-	-	PUNCT
fumecheng-12165	274	16	f	f	PROPN
fumecheng-12165	274	17	beam	beam	NOUN
fumecheng-12165	274	18	are	be	AUX
fumecheng-12165	274	19	only	only	ADV
fumecheng-12165	274	20	increased	increase	VERB
fumecheng-12165	274	21	slightly	slightly	ADV
fumecheng-12165	274	22	with	with	ADP
fumecheng-12165	274	23	a	a	DET
fumecheng-12165	274	24	small	small	ADJ
fumecheng-12165	274	25	increase	increase	NOUN
fumecheng-12165	274	26	in	in	ADP
fumecheng-12165	274	27	stiffness	stiffness	NOUN
fumecheng-12165	274	28	.	.	PUNCT
fumecheng-12165	275	1	in	in	ADP
fumecheng-12165	275	2	addition	addition	NOUN
fumecheng-12165	275	3	,	,	PUNCT
fumecheng-12165	275	4	when	when	SCONJ
fumecheng-12165	275	5	the	the	DET
fumecheng-12165	275	6	loss	loss	NOUN
fumecheng-12165	275	7	factor	factor	NOUN
fumecheng-12165	275	8	of	of	ADP
fumecheng-12165	275	9	ve	ve	PROPN
fumecheng-12165	275	10	material	material	NOUN
fumecheng-12165	275	11	𝜂𝑣	𝜂𝑣	X
fumecheng-12165	275	12	is	be	AUX
fumecheng-12165	275	13	increased	increase	VERB
fumecheng-12165	275	14	,	,	PUNCT
fumecheng-12165	275	15	the	the	DET
fumecheng-12165	275	16	normalized	normalize	VERB
fumecheng-12165	275	17	loss	loss	NOUN
fumecheng-12165	275	18	factor	factor	NOUN
fumecheng-12165	275	19	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	275	20	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	275	21	of	of	ADP
fumecheng-12165	275	22	ve	ve	VERB
fumecheng-12165	275	23	sandwich	sandwich	NOUN
fumecheng-12165	275	24	beam	beam	NOUN
fumecheng-12165	275	25	increased	increase	VERB
fumecheng-12165	275	26	linearly	linearly	ADV
fumecheng-12165	275	27	,	,	PUNCT
fumecheng-12165	275	28	implying	imply	VERB
fumecheng-12165	275	29	that	that	SCONJ
fumecheng-12165	275	30	the	the	DET
fumecheng-12165	275	31	loss	loss	NOUN
fumecheng-12165	275	32	factor	factor	NOUN
fumecheng-12165	275	33	of	of	ADP
fumecheng-12165	275	34	ve	ve	PROPN
fumecheng-12165	275	35	material	material	NOUN
fumecheng-12165	275	36	𝜂𝑣	𝜂𝑣	CCONJ
fumecheng-12165	275	37	had	have	VERB
fumecheng-12165	275	38	a	a	DET
fumecheng-12165	275	39	significant	significant	ADJ
fumecheng-12165	275	40	impact	impact	NOUN
fumecheng-12165	275	41	on	on	ADP
fumecheng-12165	275	42	the	the	DET
fumecheng-12165	275	43	loss	loss	NOUN
fumecheng-12165	275	44	factor	factor	NOUN
fumecheng-12165	275	45	of	of	ADP
fumecheng-12165	275	46	ve	ve	VERB
fumecheng-12165	275	47	sandwich	sandwich	NOUN
fumecheng-12165	275	48	beam	beam	NOUN
fumecheng-12165	275	49	and	and	CCONJ
fumecheng-12165	275	50	energy	energy	NOUN
fumecheng-12165	275	51	dissipation	dissipation	NOUN
fumecheng-12165	275	52	capacity	capacity	NOUN
fumecheng-12165	275	53	of	of	ADP
fumecheng-12165	275	54	ve	ve	NOUN
fumecheng-12165	275	55	material	material	NOUN
fumecheng-12165	275	56	is	be	AUX
fumecheng-12165	275	57	characterized	characterize	VERB
fumecheng-12165	275	58	by	by	ADP
fumecheng-12165	275	59	its	its	PRON
fumecheng-12165	275	60	loss	loss	NOUN
fumecheng-12165	275	61	factor	factor	NOUN
fumecheng-12165	275	62	.	.	PUNCT
fumecheng-12165	276	1	fig	fig	NOUN
fumecheng-12165	276	2	.	.	PUNCT
fumecheng-12165	277	1	7	7	NUM
fumecheng-12165	278	1	the	the	DET
fumecheng-12165	278	2	effect	effect	NOUN
fumecheng-12165	278	3	of	of	ADP
fumecheng-12165	278	4	𝜂𝑣	𝜂𝑣	ADV
fumecheng-12165	278	5	on	on	ADP
fumecheng-12165	278	6	the	the	DET
fumecheng-12165	278	7	dynamic	dynamic	ADJ
fumecheng-12165	278	8	characteristics	characteristic	NOUN
fumecheng-12165	278	9	of	of	ADP
fumecheng-12165	278	10	c	c	PROPN
fumecheng-12165	278	11	-	-	PUNCT
fumecheng-12165	278	12	f	f	NOUN
fumecheng-12165	278	13	ve	ve	AUX
fumecheng-12165	278	14	sandwich	sandwich	NOUN
fumecheng-12165	278	15	beam	beam	VERB
fumecheng-12165	278	16	611	611	NUM
fumecheng-12165	278	17	dynamics	dynamic	NOUN
fumecheng-12165	278	18	analysis	analysis	NOUN
fumecheng-12165	278	19	of	of	ADP
fumecheng-12165	278	20	viscoelastic	viscoelastic	NOUN
fumecheng-12165	278	21	sandwiched	sandwich	VERB
fumecheng-12165	278	22	structures	structure	NOUN
fumecheng-12165	278	23	integrated	integrate	VERB
fumecheng-12165	278	24	with	with	ADP
fumecheng-12165	278	25	aluminum	aluminum	NOUN
fumecheng-12165	278	26	sheets	sheet	NOUN
fumecheng-12165	278	27	4.2.2	4.2.2	NUM
fumecheng-12165	278	28	.	.	PUNCT
fumecheng-12165	279	1	effect	effect	NOUN
fumecheng-12165	279	2	of	of	ADP
fumecheng-12165	279	3	ve	ve	VERB
fumecheng-12165	279	4	core	core	NOUN
fumecheng-12165	279	5	layer	layer	NOUN
fumecheng-12165	279	6	thickness	thickness	NOUN
fumecheng-12165	279	7	on	on	ADP
fumecheng-12165	279	8	the	the	DET
fumecheng-12165	279	9	dynamic	dynamic	ADJ
fumecheng-12165	279	10	characteristics	characteristic	NOUN
fumecheng-12165	279	11	of	of	ADP
fumecheng-12165	279	12	ve	ve	VERB
fumecheng-12165	279	13	sandwich	sandwich	NOUN
fumecheng-12165	279	14	beam	beam	NOUN
fumecheng-12165	279	15	core	core	NOUN
fumecheng-12165	279	16	thickness	thickness	NOUN
fumecheng-12165	279	17	is	be	AUX
fumecheng-12165	279	18	varied	varied	ADJ
fumecheng-12165	279	19	from	from	ADP
fumecheng-12165	279	20	0.5	0.5	NUM
fumecheng-12165	279	21	to	to	PART
fumecheng-12165	279	22	6.5	6.5	NUM
fumecheng-12165	279	23	mm	mm	NOUN
fumecheng-12165	279	24	to	to	PART
fumecheng-12165	279	25	study	study	VERB
fumecheng-12165	279	26	its	its	PRON
fumecheng-12165	279	27	influence	influence	NOUN
fumecheng-12165	279	28	on	on	ADP
fumecheng-12165	279	29	the	the	DET
fumecheng-12165	279	30	dynamic	dynamic	ADJ
fumecheng-12165	279	31	characteristics	characteristic	NOUN
fumecheng-12165	279	32	𝜔𝒏	𝜔𝒏	PROPN
fumecheng-12165	279	33	and	and	CCONJ
fumecheng-12165	279	34	normalized	normalize	VERB
fumecheng-12165	279	35	loss	loss	NOUN
fumecheng-12165	279	36	factor	factor	NOUN
fumecheng-12165	279	37	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	279	38	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	279	39	.	.	PUNCT
fumecheng-12165	280	1	indeed	indeed	ADV
fumecheng-12165	280	2	,	,	PUNCT
fumecheng-12165	280	3	the	the	DET
fumecheng-12165	280	4	natural	natural	ADJ
fumecheng-12165	280	5	frequency	frequency	NOUN
fumecheng-12165	280	6	of	of	ADP
fumecheng-12165	280	7	the	the	DET
fumecheng-12165	280	8	system	system	NOUN
fumecheng-12165	280	9	slightly	slightly	ADV
fumecheng-12165	280	10	decreased	decrease	VERB
fumecheng-12165	280	11	as	as	SCONJ
fumecheng-12165	280	12	the	the	DET
fumecheng-12165	280	13	thickness	thickness	NOUN
fumecheng-12165	280	14	of	of	ADP
fumecheng-12165	280	15	ve	ve	NOUN
fumecheng-12165	280	16	layer	layer	NOUN
fumecheng-12165	280	17	increased	increase	VERB
fumecheng-12165	280	18	,	,	PUNCT
fumecheng-12165	280	19	as	as	SCONJ
fumecheng-12165	280	20	seen	see	VERB
fumecheng-12165	280	21	in	in	ADP
fumecheng-12165	280	22	fig	fig	NOUN
fumecheng-12165	280	23	.	.	PUNCT
fumecheng-12165	281	1	8	8	X
fumecheng-12165	281	2	.	.	X
fumecheng-12165	281	3	increase	increase	VERB
fumecheng-12165	281	4	in	in	ADP
fumecheng-12165	281	5	the	the	DET
fumecheng-12165	281	6	stiffness	stiffness	NOUN
fumecheng-12165	281	7	of	of	ADP
fumecheng-12165	281	8	ve	ve	VERB
fumecheng-12165	281	9	sandwich	sandwich	NOUN
fumecheng-12165	281	10	beam	beam	NOUN
fumecheng-12165	281	11	system	system	NOUN
fumecheng-12165	281	12	generated	generate	VERB
fumecheng-12165	281	13	by	by	ADP
fumecheng-12165	281	14	increasing	increase	VERB
fumecheng-12165	281	15	the	the	DET
fumecheng-12165	281	16	thickness	thickness	NOUN
fumecheng-12165	281	17	of	of	ADP
fumecheng-12165	281	18	the	the	DET
fumecheng-12165	281	19	ve	ve	NOUN
fumecheng-12165	281	20	layer	layer	NOUN
fumecheng-12165	281	21	was	be	AUX
fumecheng-12165	281	22	much	much	ADV
fumecheng-12165	281	23	smaller	small	ADJ
fumecheng-12165	281	24	than	than	ADP
fumecheng-12165	281	25	the	the	DET
fumecheng-12165	281	26	increase	increase	NOUN
fumecheng-12165	281	27	in	in	ADP
fumecheng-12165	281	28	the	the	DET
fumecheng-12165	281	29	whole	whole	ADJ
fumecheng-12165	281	30	c	c	NOUN
fumecheng-12165	281	31	-	-	PUNCT
fumecheng-12165	281	32	f	f	NOUN
fumecheng-12165	282	1	ve	ve	AUX
fumecheng-12165	282	2	sandwich	sandwich	NOUN
fumecheng-12165	282	3	beam	beam	NOUN
fumecheng-12165	282	4	stiffness	stiffness	NOUN
fumecheng-12165	282	5	since	since	SCONJ
fumecheng-12165	282	6	the	the	DET
fumecheng-12165	282	7	elastic	elastic	ADJ
fumecheng-12165	282	8	modulus	modulus	NOUN
fumecheng-12165	282	9	of	of	ADP
fumecheng-12165	282	10	ve	ve	NOUN
fumecheng-12165	282	11	layer	layer	NOUN
fumecheng-12165	282	12	was	be	AUX
fumecheng-12165	282	13	four	four	NUM
fumecheng-12165	282	14	times	time	NOUN
fumecheng-12165	282	15	lower	low	ADJ
fumecheng-12165	282	16	than	than	ADP
fumecheng-12165	282	17	elastic	elastic	ADJ
fumecheng-12165	282	18	modulus	modulus	NOUN
fumecheng-12165	282	19	of	of	ADP
fumecheng-12165	282	20	elastic	elastic	ADJ
fumecheng-12165	282	21	layers	layer	NOUN
fumecheng-12165	282	22	and	and	CCONJ
fumecheng-12165	282	23	the	the	DET
fumecheng-12165	282	24	mass	mass	NOUN
fumecheng-12165	282	25	of	of	ADP
fumecheng-12165	282	26	the	the	DET
fumecheng-12165	282	27	core	core	NOUN
fumecheng-12165	282	28	was	be	AUX
fumecheng-12165	282	29	about	about	ADV
fumecheng-12165	282	30	50	50	NUM
fumecheng-12165	282	31	%	%	NOUN
fumecheng-12165	282	32	of	of	ADP
fumecheng-12165	282	33	elastic	elastic	ADJ
fumecheng-12165	282	34	layers	layer	NOUN
fumecheng-12165	282	35	mass	mass	PROPN
fumecheng-12165	282	36	.	.	PUNCT
fumecheng-12165	283	1	the	the	DET
fumecheng-12165	283	2	changing	changing	NOUN
fumecheng-12165	283	3	of	of	ADP
fumecheng-12165	283	4	the	the	DET
fumecheng-12165	283	5	normalized	normalize	VERB
fumecheng-12165	283	6	loss	loss	NOUN
fumecheng-12165	283	7	factor	factor	NOUN
fumecheng-12165	283	8	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	283	9	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	283	10	for	for	ADP
fumecheng-12165	283	11	c	c	NOUN
fumecheng-12165	283	12	-	-	PUNCT
fumecheng-12165	283	13	f	f	PROPN
fumecheng-12165	283	14	beam	beam	NOUN
fumecheng-12165	283	15	was	be	AUX
fumecheng-12165	283	16	more	more	ADV
fumecheng-12165	283	17	significant	significant	ADJ
fumecheng-12165	283	18	than	than	ADP
fumecheng-12165	283	19	the	the	DET
fumecheng-12165	283	20	changing	change	VERB
fumecheng-12165	283	21	trend	trend	NOUN
fumecheng-12165	283	22	of	of	ADP
fumecheng-12165	283	23	natural	natural	ADJ
fumecheng-12165	283	24	frequency	frequency	NOUN
fumecheng-12165	283	25	,	,	PUNCT
fumecheng-12165	283	26	which	which	PRON
fumecheng-12165	283	27	was	be	AUX
fumecheng-12165	283	28	related	relate	VERB
fumecheng-12165	283	29	to	to	ADP
fumecheng-12165	283	30	the	the	DET
fumecheng-12165	283	31	damping	damp	VERB
fumecheng-12165	283	32	nature	nature	NOUN
fumecheng-12165	283	33	of	of	ADP
fumecheng-12165	283	34	ve	ve	NOUN
fumecheng-12165	283	35	material	material	NOUN
fumecheng-12165	283	36	.	.	PUNCT
fumecheng-12165	284	1	fig	fig	NOUN
fumecheng-12165	284	2	.	.	PUNCT
fumecheng-12165	284	3	8	8	NUM
fumecheng-12165	285	1	the	the	DET
fumecheng-12165	285	2	effect	effect	NOUN
fumecheng-12165	285	3	of	of	ADP
fumecheng-12165	285	4	core	core	ADJ
fumecheng-12165	285	5	thickness	thickness	NOUN
fumecheng-12165	285	6	on	on	ADP
fumecheng-12165	285	7	the	the	DET
fumecheng-12165	285	8	dynamic	dynamic	ADJ
fumecheng-12165	285	9	characteristics	characteristic	NOUN
fumecheng-12165	285	10	of	of	ADP
fumecheng-12165	285	11	c	c	PROPN
fumecheng-12165	285	12	-	-	PUNCT
fumecheng-12165	285	13	f	f	AUX
fumecheng-12165	285	14	ve	ve	AUX
fumecheng-12165	285	15	sandwich	sandwich	NOUN
fumecheng-12165	285	16	beam	beam	VERB
fumecheng-12165	285	17	4.3	4.3	NUM
fumecheng-12165	285	18	.	.	PUNCT
fumecheng-12165	286	1	frequency	frequency	PROPN
fumecheng-12165	286	2	response	response	NOUN
fumecheng-12165	286	3	analysis	analysis	NOUN
fumecheng-12165	286	4	harmonic	harmonic	ADJ
fumecheng-12165	286	5	analysis	analysis	NOUN
fumecheng-12165	286	6	is	be	AUX
fumecheng-12165	286	7	required	require	VERB
fumecheng-12165	286	8	to	to	PART
fumecheng-12165	286	9	ensure	ensure	VERB
fumecheng-12165	286	10	that	that	SCONJ
fumecheng-12165	286	11	the	the	DET
fumecheng-12165	286	12	system	system	NOUN
fumecheng-12165	286	13	will	will	AUX
fumecheng-12165	286	14	successfully	successfully	ADV
fumecheng-12165	286	15	overcome	overcome	VERB
fumecheng-12165	286	16	resonance	resonance	NOUN
fumecheng-12165	286	17	and	and	CCONJ
fumecheng-12165	286	18	harmful	harmful	ADJ
fumecheng-12165	286	19	effects	effect	NOUN
fumecheng-12165	286	20	and	and	CCONJ
fumecheng-12165	286	21	mode	mode	NOUN
fumecheng-12165	286	22	superposition	superposition	NOUN
fumecheng-12165	286	23	method	method	NOUN
fumecheng-12165	286	24	is	be	AUX
fumecheng-12165	286	25	used	use	VERB
fumecheng-12165	286	26	based	base	VERB
fumecheng-12165	286	27	on	on	ADP
fumecheng-12165	286	28	linear	linear	PROPN
fumecheng-12165	286	29	iterations	iteration	NOUN
fumecheng-12165	286	30	of	of	ADP
fumecheng-12165	286	31	mode	mode	NOUN
fumecheng-12165	286	32	shapes	shape	NOUN
fumecheng-12165	286	33	to	to	PART
fumecheng-12165	286	34	obtain	obtain	VERB
fumecheng-12165	286	35	the	the	DET
fumecheng-12165	286	36	frequency	frequency	NOUN
fumecheng-12165	286	37	response	response	NOUN
fumecheng-12165	286	38	function	function	NOUN
fumecheng-12165	286	39	(	(	PUNCT
fumecheng-12165	286	40	frf	frf	PROPN
fumecheng-12165	286	41	)	)	PUNCT
fumecheng-12165	286	42	.	.	PUNCT
fumecheng-12165	287	1	the	the	DET
fumecheng-12165	287	2	frequency	frequency	NOUN
fumecheng-12165	287	3	response	response	NOUN
fumecheng-12165	287	4	curves	curve	NOUN
fumecheng-12165	287	5	were	be	AUX
fumecheng-12165	287	6	then	then	ADV
fumecheng-12165	287	7	generated	generate	VERB
fumecheng-12165	287	8	to	to	PART
fumecheng-12165	287	9	capture	capture	VERB
fumecheng-12165	287	10	the	the	DET
fumecheng-12165	287	11	steady	steady	ADJ
fumecheng-12165	287	12	-	-	PUNCT
fumecheng-12165	287	13	state	state	NOUN
fumecheng-12165	287	14	vibration	vibration	NOUN
fumecheng-12165	287	15	response	response	NOUN
fumecheng-12165	287	16	of	of	ADP
fumecheng-12165	287	17	ve	ve	VERB
fumecheng-12165	287	18	sandwich	sandwich	NOUN
fumecheng-12165	287	19	beam	beam	NOUN
fumecheng-12165	287	20	across	across	ADP
fumecheng-12165	287	21	specific	specific	ADJ
fumecheng-12165	287	22	frequency	frequency	NOUN
fumecheng-12165	287	23	range	range	NOUN
fumecheng-12165	287	24	.	.	PUNCT
fumecheng-12165	288	1	4.3.1	4.3.1	X
fumecheng-12165	288	2	.	.	PUNCT
fumecheng-12165	288	3	steady	steady	ADJ
fumecheng-12165	288	4	-	-	PUNCT
fumecheng-12165	288	5	state	state	NOUN
fumecheng-12165	288	6	dynamics	dynamic	NOUN
fumecheng-12165	288	7	of	of	ADP
fumecheng-12165	288	8	ve	ve	VERB
fumecheng-12165	288	9	sandwich	sandwich	NOUN
fumecheng-12165	288	10	beam	beam	NOUN
fumecheng-12165	288	11	/	/	SYM
fumecheng-12165	288	12	plate	plate	NOUN
fumecheng-12165	288	13	to	to	PART
fumecheng-12165	288	14	excite	excite	VERB
fumecheng-12165	288	15	the	the	DET
fumecheng-12165	288	16	first	first	ADJ
fumecheng-12165	288	17	three	three	NUM
fumecheng-12165	288	18	fundamental	fundamental	ADJ
fumecheng-12165	288	19	mode	mode	NOUN
fumecheng-12165	288	20	shapes	shape	NOUN
fumecheng-12165	288	21	,	,	PUNCT
fumecheng-12165	288	22	a	a	DET
fumecheng-12165	288	23	harmonic	harmonic	ADJ
fumecheng-12165	288	24	concentrated	concentrated	ADJ
fumecheng-12165	288	25	force	force	NOUN
fumecheng-12165	288	26	was	be	AUX
fumecheng-12165	288	27	applied	apply	VERB
fumecheng-12165	288	28	at	at	ADP
fumecheng-12165	288	29	point	point	NOUN
fumecheng-12165	288	30	p	p	X
fumecheng-12165	288	31	=	=	X
fumecheng-12165	288	32	(	(	PUNCT
fumecheng-12165	288	33	59.27	59.27	NUM
fumecheng-12165	288	34	,	,	PUNCT
fumecheng-12165	288	35	6.3	6.3	NUM
fumecheng-12165	288	36	)	)	PUNCT
fumecheng-12165	288	37	mm	mm	NOUN
fumecheng-12165	288	38	located	locate	VERB
fumecheng-12165	288	39	along	along	ADP
fumecheng-12165	288	40	beam	beam	PROPN
fumecheng-12165	288	41	length	length	NOUN
fumecheng-12165	288	42	,	,	PUNCT
fumecheng-12165	288	43	with	with	ADP
fumecheng-12165	288	44	magnetite	magnetite	NOUN
fumecheng-12165	288	45	of	of	ADP
fumecheng-12165	288	46	𝐹0	𝐹0	NOUN
fumecheng-12165	288	47	=	=	SYM
fumecheng-12165	288	48	100	100	NUM
fumecheng-12165	288	49	n.	n.	NOUN
fumecheng-12165	288	50	the	the	DET
fumecheng-12165	288	51	system	system	NOUN
fumecheng-12165	288	52	linear	linear	NOUN
fumecheng-12165	288	53	frequency	frequency	NOUN
fumecheng-12165	288	54	response	response	NOUN
fumecheng-12165	288	55	(	(	PUNCT
fumecheng-12165	288	56	frf	frf	NOUN
fumecheng-12165	288	57	)	)	PUNCT
fumecheng-12165	288	58	is	be	AUX
fumecheng-12165	288	59	shown	show	VERB
fumecheng-12165	288	60	in	in	ADP
fumecheng-12165	288	61	fig	fig	NOUN
fumecheng-12165	288	62	.	.	PUNCT
fumecheng-12165	289	1	9	9	NUM
fumecheng-12165	289	2	with	with	ADP
fumecheng-12165	289	3	different	different	ADJ
fumecheng-12165	289	4	loss	loss	NOUN
fumecheng-12165	289	5	factor	factor	NOUN
fumecheng-12165	289	6	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	290	1	[	[	X
fumecheng-12165	290	2	0.3	0.3	NUM
fumecheng-12165	290	3	,	,	PUNCT
fumecheng-12165	290	4	0.6	0.6	NUM
fumecheng-12165	290	5	,	,	PUNCT
fumecheng-12165	290	6	1	1	NUM
fumecheng-12165	290	7	]	]	PUNCT
fumecheng-12165	290	8	.	.	PUNCT
fumecheng-12165	291	1	it	it	PRON
fumecheng-12165	291	2	could	could	AUX
fumecheng-12165	291	3	be	be	AUX
fumecheng-12165	291	4	noticed	notice	VERB
fumecheng-12165	291	5	from	from	ADP
fumecheng-12165	291	6	fig	fig	NOUN
fumecheng-12165	291	7	.	.	PUNCT
fumecheng-12165	292	1	9	9	NUM
fumecheng-12165	292	2	that	that	SCONJ
fumecheng-12165	292	3	the	the	DET
fumecheng-12165	292	4	effect	effect	NOUN
fumecheng-12165	292	5	of	of	ADP
fumecheng-12165	292	6	the	the	DET
fumecheng-12165	292	7	loss	loss	NOUN
fumecheng-12165	292	8	factor	factor	NOUN
fumecheng-12165	292	9	was	be	AUX
fumecheng-12165	292	10	significant	significant	ADJ
fumecheng-12165	292	11	,	,	PUNCT
fumecheng-12165	292	12	as	as	SCONJ
fumecheng-12165	292	13	the	the	DET
fumecheng-12165	292	14	system	system	NOUN
fumecheng-12165	292	15	had	have	VERB
fumecheng-12165	292	16	minimum	minimum	ADJ
fumecheng-12165	292	17	amplitude	amplitude	NOUN
fumecheng-12165	292	18	response	response	NOUN
fumecheng-12165	292	19	when	when	SCONJ
fumecheng-12165	292	20	loss	loss	NOUN
fumecheng-12165	292	21	factor	factor	NOUN
fumecheng-12165	292	22	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	292	23	1	1	NUM
fumecheng-12165	292	24	.	.	PUNCT
fumecheng-12165	293	1	the	the	DET
fumecheng-12165	293	2	maximum	maximum	ADJ
fumecheng-12165	293	3	response	response	NOUN
fumecheng-12165	293	4	of	of	ADP
fumecheng-12165	293	5	the	the	DET
fumecheng-12165	293	6	system	system	NOUN
fumecheng-12165	293	7	was	be	AUX
fumecheng-12165	293	8	within	within	ADP
fumecheng-12165	293	9	the	the	DET
fumecheng-12165	293	10	range	range	NOUN
fumecheng-12165	293	11	of	of	ADP
fumecheng-12165	293	12	the	the	DET
fumecheng-12165	293	13	first	first	ADJ
fumecheng-12165	293	14	fundamental	fundamental	ADJ
fumecheng-12165	293	15	natural	natural	ADJ
fumecheng-12165	293	16	frequency	frequency	NOUN
fumecheng-12165	293	17	that	that	PRON
fumecheng-12165	293	18	had	have	VERB
fumecheng-12165	293	19	the	the	DET
fumecheng-12165	293	20	highest	high	ADJ
fumecheng-12165	293	21	value	value	NOUN
fumecheng-12165	293	22	of	of	ADP
fumecheng-12165	293	23	effective	effective	ADJ
fumecheng-12165	293	24	mass	mass	NOUN
fumecheng-12165	293	25	along	along	ADP
fumecheng-12165	293	26	the	the	DET
fumecheng-12165	293	27	direction	direction	NOUN
fumecheng-12165	293	28	of	of	ADP
fumecheng-12165	293	29	applied	applied	ADJ
fumecheng-12165	293	30	load	load	NOUN
fumecheng-12165	293	31	.	.	PUNCT
fumecheng-12165	294	1	612	612	NUM
fumecheng-12165	294	2	y.	y.	PROPN
fumecheng-12165	294	3	elmoghazy	elmoghazy	PROPN
fumecheng-12165	294	4	,	,	PUNCT
fumecheng-12165	294	5	b.	b.	PROPN
fumecheng-12165	294	6	safaei	safaei	PROPN
fumecheng-12165	294	7	,	,	PUNCT
fumecheng-12165	294	8	s.	s.	PROPN
fumecheng-12165	294	9	sahmani	sahmani	PROPN
fumecheng-12165	294	10	in	in	ADP
fumecheng-12165	294	11	addition	addition	NOUN
fumecheng-12165	294	12	,	,	PUNCT
fumecheng-12165	294	13	fig	fig	NOUN
fumecheng-12165	294	14	.	.	PUNCT
fumecheng-12165	295	1	9	9	NUM
fumecheng-12165	295	2	shows	show	VERB
fumecheng-12165	295	3	that	that	SCONJ
fumecheng-12165	295	4	the	the	DET
fumecheng-12165	295	5	system	system	NOUN
fumecheng-12165	295	6	tends	tend	VERB
fumecheng-12165	295	7	to	to	PART
fumecheng-12165	295	8	vibrate	vibrate	VERB
fumecheng-12165	295	9	with	with	ADP
fumecheng-12165	295	10	maximum	maximum	ADJ
fumecheng-12165	295	11	amplitude	amplitude	NOUN
fumecheng-12165	295	12	at	at	ADP
fumecheng-12165	295	13	natural	natural	ADJ
fumecheng-12165	295	14	frequency	frequency	NOUN
fumecheng-12165	295	15	values	value	NOUN
fumecheng-12165	295	16	.	.	PUNCT
fumecheng-12165	296	1	this	this	PRON
fumecheng-12165	296	2	occurs	occur	VERB
fumecheng-12165	296	3	since	since	SCONJ
fumecheng-12165	296	4	the	the	DET
fumecheng-12165	296	5	natural	natural	ADJ
fumecheng-12165	296	6	frequency	frequency	NOUN
fumecheng-12165	296	7	of	of	ADP
fumecheng-12165	296	8	the	the	DET
fumecheng-12165	296	9	structure	structure	NOUN
fumecheng-12165	296	10	matches	match	VERB
fumecheng-12165	296	11	the	the	DET
fumecheng-12165	296	12	excitation	excitation	NOUN
fumecheng-12165	296	13	frequency	frequency	NOUN
fumecheng-12165	296	14	,	,	PUNCT
fumecheng-12165	296	15	leading	lead	VERB
fumecheng-12165	296	16	to	to	ADP
fumecheng-12165	296	17	a	a	DET
fumecheng-12165	296	18	resonance	resonance	NOUN
fumecheng-12165	296	19	condition	condition	NOUN
fumecheng-12165	296	20	that	that	PRON
fumecheng-12165	296	21	can	can	AUX
fumecheng-12165	296	22	potentially	potentially	ADV
fumecheng-12165	296	23	cause	cause	VERB
fumecheng-12165	296	24	failure	failure	NOUN
fumecheng-12165	296	25	effects	effect	NOUN
fumecheng-12165	296	26	in	in	ADP
fumecheng-12165	296	27	the	the	DET
fumecheng-12165	296	28	system	system	NOUN
fumecheng-12165	296	29	.	.	PUNCT
fumecheng-12165	297	1	fig	fig	NOUN
fumecheng-12165	297	2	.	.	PUNCT
fumecheng-12165	298	1	9	9	NUM
fumecheng-12165	298	2	linear	linear	ADJ
fumecheng-12165	298	3	frequency	frequency	NOUN
fumecheng-12165	298	4	response	response	NOUN
fumecheng-12165	298	5	curve	curve	NOUN
fumecheng-12165	298	6	of	of	ADP
fumecheng-12165	298	7	fundamental	fundamental	ADJ
fumecheng-12165	298	8	complex	complex	ADJ
fumecheng-12165	298	9	modes	mode	NOUN
fumecheng-12165	298	10	for	for	ADP
fumecheng-12165	298	11	c	c	PROPN
fumecheng-12165	298	12	-	-	PUNCT
fumecheng-12165	298	13	f	f	NOUN
fumecheng-12165	298	14	ve	ve	VERB
fumecheng-12165	298	15	sandwich	sandwich	NOUN
fumecheng-12165	298	16	beam	beam	NOUN
fumecheng-12165	298	17	with	with	ADP
fumecheng-12165	298	18	𝜂𝑣=	𝜂𝑣=	NOUN
fumecheng-12165	298	19	[	[	X
fumecheng-12165	298	20	0.3	0.3	NUM
fumecheng-12165	298	21	,	,	PUNCT
fumecheng-12165	298	22	0.6	0.6	NUM
fumecheng-12165	298	23	,	,	PUNCT
fumecheng-12165	298	24	0.1	0.1	NUM
fumecheng-12165	298	25	]	]	SYM
fumecheng-12165	298	26	5	5	NUM
fumecheng-12165	298	27	.	.	PUNCT
fumecheng-12165	298	28	conclusions	conclusion	NOUN
fumecheng-12165	298	29	in	in	ADP
fumecheng-12165	298	30	the	the	DET
fumecheng-12165	298	31	present	present	ADJ
fumecheng-12165	298	32	work	work	NOUN
fumecheng-12165	298	33	,	,	PUNCT
fumecheng-12165	298	34	dynamic	dynamic	ADJ
fumecheng-12165	298	35	analysis	analysis	NOUN
fumecheng-12165	298	36	was	be	AUX
fumecheng-12165	298	37	examined	examine	VERB
fumecheng-12165	298	38	to	to	PART
fumecheng-12165	298	39	evaluate	evaluate	VERB
fumecheng-12165	298	40	the	the	DET
fumecheng-12165	298	41	damping	damp	VERB
fumecheng-12165	298	42	characteristics	characteristic	NOUN
fumecheng-12165	298	43	of	of	ADP
fumecheng-12165	298	44	ve	ve	VERB
fumecheng-12165	298	45	sandwich	sandwich	NOUN
fumecheng-12165	298	46	structures	structure	NOUN
fumecheng-12165	298	47	,	,	PUNCT
fumecheng-12165	298	48	including	include	VERB
fumecheng-12165	298	49	natural	natural	ADJ
fumecheng-12165	298	50	frequency	frequency	NOUN
fumecheng-12165	298	51	and	and	CCONJ
fumecheng-12165	298	52	normalized	normalize	VERB
fumecheng-12165	298	53	loss	loss	NOUN
fumecheng-12165	298	54	factor	factor	NOUN
fumecheng-12165	298	55	𝜂𝑛	𝜂𝑛	NOUN
fumecheng-12165	298	56	𝜂𝑣⁄	𝜂𝑣⁄	NOUN
fumecheng-12165	298	57	based	base	VERB
fumecheng-12165	298	58	on	on	ADP
fumecheng-12165	298	59	longitudinal	longitudinal	ADJ
fumecheng-12165	298	60	shear	shear	NOUN
fumecheng-12165	298	61	deformation	deformation	NOUN
fumecheng-12165	298	62	assumption	assumption	NOUN
fumecheng-12165	298	63	.	.	PUNCT
fumecheng-12165	299	1	the	the	DET
fumecheng-12165	299	2	obtained	obtain	VERB
fumecheng-12165	299	3	numerical	numerical	ADJ
fumecheng-12165	299	4	results	result	NOUN
fumecheng-12165	299	5	were	be	AUX
fumecheng-12165	299	6	compared	compare	VERB
fumecheng-12165	299	7	against	against	ADP
fumecheng-12165	299	8	analytical	analytical	ADJ
fumecheng-12165	299	9	model	model	NOUN
fumecheng-12165	299	10	to	to	PART
fumecheng-12165	299	11	validate	validate	VERB
fumecheng-12165	299	12	the	the	DET
fumecheng-12165	299	13	proposed	propose	VERB
fumecheng-12165	299	14	fe	fe	NOUN
fumecheng-12165	299	15	models	model	NOUN
fumecheng-12165	299	16	.	.	PUNCT
fumecheng-12165	300	1	the	the	DET
fumecheng-12165	300	2	numerical	numerical	ADJ
fumecheng-12165	300	3	results	result	NOUN
fumecheng-12165	300	4	showed	show	VERB
fumecheng-12165	300	5	that	that	SCONJ
fumecheng-12165	300	6	all	all	DET
fumecheng-12165	300	7	numerical	numerical	ADJ
fumecheng-12165	300	8	fe	fe	PROPN
fumecheng-12165	300	9	models	model	NOUN
fumecheng-12165	300	10	are	be	AUX
fumecheng-12165	300	11	applicable	applicable	ADJ
fumecheng-12165	300	12	for	for	ADP
fumecheng-12165	300	13	approximating	approximate	VERB
fumecheng-12165	300	14	the	the	DET
fumecheng-12165	300	15	damping	damp	VERB
fumecheng-12165	300	16	characteristics	characteristic	NOUN
fumecheng-12165	300	17	of	of	ADP
fumecheng-12165	300	18	ve	ve	VERB
fumecheng-12165	300	19	sandwich	sandwich	NOUN
fumecheng-12165	300	20	beam	beam	NOUN
fumecheng-12165	300	21	.	.	PUNCT
fumecheng-12165	301	1	the	the	DET
fumecheng-12165	301	2	integral	integral	ADJ
fumecheng-12165	301	3	shear	shear	NOUN
fumecheng-12165	301	4	element	element	NOUN
fumecheng-12165	301	5	model	model	NOUN
fumecheng-12165	301	6	was	be	AUX
fumecheng-12165	301	7	developed	develop	VERB
fumecheng-12165	301	8	using	use	VERB
fumecheng-12165	301	9	fe	fe	NOUN
fumecheng-12165	301	10	formulation	formulation	NOUN
fumecheng-12165	301	11	had	have	VERB
fumecheng-12165	301	12	the	the	DET
fumecheng-12165	301	13	lowest	low	ADJ
fumecheng-12165	301	14	error	error	NOUN
fumecheng-12165	301	15	range	range	NOUN
fumecheng-12165	301	16	among	among	ADP
fumecheng-12165	301	17	other	other	ADJ
fumecheng-12165	301	18	models	model	NOUN
fumecheng-12165	301	19	.	.	PUNCT
fumecheng-12165	302	1	in	in	ADP
fumecheng-12165	302	2	addition	addition	NOUN
fumecheng-12165	302	3	,	,	PUNCT
fumecheng-12165	302	4	the	the	DET
fumecheng-12165	302	5	linear	linear	ADJ
fumecheng-12165	302	6	complex	complex	ADJ
fumecheng-12165	302	7	natural	natural	ADJ
fumecheng-12165	302	8	frequency	frequency	NOUN
fumecheng-12165	302	9	of	of	ADP
fumecheng-12165	302	10	ve	ve	PROPN
fumecheng-12165	302	11	sandwich	sandwich	NOUN
fumecheng-12165	302	12	plate	plate	NOUN
fumecheng-12165	302	13	were	be	AUX
fumecheng-12165	302	14	obtained	obtain	VERB
fumecheng-12165	302	15	for	for	ADP
fumecheng-12165	302	16	different	different	ADJ
fumecheng-12165	302	17	mesh	mesh	NOUN
fumecheng-12165	302	18	sizes	size	NOUN
fumecheng-12165	302	19	of	of	ADP
fumecheng-12165	302	20	c3d20	c3d20	VERB
fumecheng-12165	302	21	element	element	NOUN
fumecheng-12165	302	22	.	.	PUNCT
fumecheng-12165	303	1	the	the	DET
fumecheng-12165	303	2	element	element	NOUN
fumecheng-12165	303	3	shows	show	VERB
fumecheng-12165	303	4	high	high	ADJ
fumecheng-12165	303	5	accuracy	accuracy	NOUN
fumecheng-12165	303	6	in	in	ADP
fumecheng-12165	303	7	predicting	predict	VERB
fumecheng-12165	303	8	damping	damp	VERB
fumecheng-12165	303	9	characteristics	characteristic	NOUN
fumecheng-12165	303	10	of	of	ADP
fumecheng-12165	303	11	ve	ve	AUX
fumecheng-12165	303	12	sandwiched	sandwich	VERB
fumecheng-12165	303	13	plate	plate	NOUN
fumecheng-12165	303	14	structure	structure	NOUN
fumecheng-12165	303	15	.	.	PUNCT
fumecheng-12165	304	1	finally	finally	ADV
fumecheng-12165	304	2	,	,	PUNCT
fumecheng-12165	304	3	a	a	DET
fumecheng-12165	304	4	parametric	parametric	ADJ
fumecheng-12165	304	5	study	study	NOUN
fumecheng-12165	304	6	was	be	AUX
fumecheng-12165	304	7	performed	perform	VERB
fumecheng-12165	304	8	to	to	PART
fumecheng-12165	304	9	study	study	VERB
fumecheng-12165	304	10	the	the	DET
fumecheng-12165	304	11	effect	effect	NOUN
fumecheng-12165	304	12	of	of	ADP
fumecheng-12165	304	13	various	various	ADJ
fumecheng-12165	304	14	parameters	parameter	NOUN
fumecheng-12165	304	15	on	on	ADP
fumecheng-12165	304	16	the	the	DET
fumecheng-12165	304	17	dynamic	dynamic	ADJ
fumecheng-12165	304	18	characteristics	characteristic	NOUN
fumecheng-12165	304	19	of	of	ADP
fumecheng-12165	304	20	ve	ve	VERB
fumecheng-12165	304	21	sandwich	sandwich	NOUN
fumecheng-12165	304	22	beam	beam	NOUN
fumecheng-12165	304	23	.	.	PUNCT
fumecheng-12165	305	1	the	the	PRON
fumecheng-12165	305	2	obtained	obtain	VERB
fumecheng-12165	305	3	keys	key	NOUN
fumecheng-12165	305	4	conclusion	conclusion	NOUN
fumecheng-12165	305	5	is	be	AUX
fumecheng-12165	305	6	demonstrated	demonstrate	VERB
fumecheng-12165	305	7	as	as	SCONJ
fumecheng-12165	305	8	follows	follow	VERB
fumecheng-12165	305	9	:	:	PUNCT
fumecheng-12165	305	10	▪	▪	X
fumecheng-12165	305	11	increasing	increase	VERB
fumecheng-12165	305	12	ve	ve	NOUN
fumecheng-12165	305	13	layer	layer	NOUN
fumecheng-12165	305	14	thickness	thickness	NOUN
fumecheng-12165	305	15	decreased	decrease	VERB
fumecheng-12165	305	16	the	the	DET
fumecheng-12165	305	17	natural	natural	ADJ
fumecheng-12165	305	18	frequency	frequency	NOUN
fumecheng-12165	305	19	and	and	CCONJ
fumecheng-12165	305	20	loss	loss	NOUN
fumecheng-12165	305	21	factor	factor	NOUN
fumecheng-12165	305	22	of	of	ADP
fumecheng-12165	305	23	the	the	DET
fumecheng-12165	305	24	ve	ve	NOUN
fumecheng-12165	305	25	sandwich	sandwich	NOUN
fumecheng-12165	305	26	beam	beam	NOUN
fumecheng-12165	305	27	.	.	PUNCT
fumecheng-12165	306	1	▪	▪	NOUN
fumecheng-12165	306	2	the	the	DET
fumecheng-12165	306	3	loss	loss	NOUN
fumecheng-12165	306	4	factor	factor	NOUN
fumecheng-12165	306	5	of	of	ADP
fumecheng-12165	306	6	ve	ve	NOUN
fumecheng-12165	306	7	layer	layer	NOUN
fumecheng-12165	306	8	𝜂𝑣	𝜂𝑣	CCONJ
fumecheng-12165	306	9	had	have	VERB
fumecheng-12165	306	10	a	a	DET
fumecheng-12165	306	11	significant	significant	ADJ
fumecheng-12165	306	12	effect	effect	NOUN
fumecheng-12165	306	13	on	on	ADP
fumecheng-12165	306	14	the	the	DET
fumecheng-12165	306	15	overall	overall	ADJ
fumecheng-12165	306	16	loss	loss	NOUN
fumecheng-12165	306	17	factor	factor	NOUN
fumecheng-12165	306	18	of	of	ADP
fumecheng-12165	306	19	the	the	DET
fumecheng-12165	306	20	structure	structure	NOUN
fumecheng-12165	306	21	,	,	PUNCT
fumecheng-12165	306	22	whereas	whereas	SCONJ
fumecheng-12165	306	23	it	it	PRON
fumecheng-12165	306	24	had	have	VERB
fumecheng-12165	306	25	no	no	DET
fumecheng-12165	306	26	significant	significant	ADJ
fumecheng-12165	306	27	effect	effect	NOUN
fumecheng-12165	306	28	on	on	ADP
fumecheng-12165	306	29	natural	natural	ADJ
fumecheng-12165	306	30	frequency	frequency	NOUN
fumecheng-12165	306	31	.	.	PUNCT
fumecheng-12165	307	1	▪	▪	NOUN
fumecheng-12165	307	2	the	the	DET
fumecheng-12165	307	3	calculated	calculated	ADJ
fumecheng-12165	307	4	resonance	resonance	NOUN
fumecheng-12165	307	5	frequencies	frequency	NOUN
fumecheng-12165	307	6	for	for	ADP
fumecheng-12165	307	7	ve	ve	NOUN
fumecheng-12165	307	8	beam	beam	NOUN
fumecheng-12165	307	9	are	be	AUX
fumecheng-12165	307	10	in	in	ADP
fumecheng-12165	307	11	the	the	DET
fumecheng-12165	307	12	range	range	NOUN
fumecheng-12165	307	13	of	of	ADP
fumecheng-12165	307	14	modal	modal	ADJ
fumecheng-12165	307	15	natural	natural	ADJ
fumecheng-12165	307	16	frequency	frequency	NOUN
fumecheng-12165	307	17	.	.	PUNCT
fumecheng-12165	308	1	613	613	NUM
fumecheng-12165	308	2	dynamics	dynamic	NOUN
fumecheng-12165	308	3	analysis	analysis	NOUN
fumecheng-12165	308	4	of	of	ADP
fumecheng-12165	308	5	viscoelastic	viscoelastic	NOUN
fumecheng-12165	308	6	sandwiched	sandwich	VERB
fumecheng-12165	308	7	structures	structure	NOUN
fumecheng-12165	308	8	integrated	integrate	VERB
fumecheng-12165	308	9	with	with	ADP
fumecheng-12165	308	10	aluminum	aluminum	NOUN
fumecheng-12165	308	11	sheets	sheet	NOUN
fumecheng-12165	308	12	in	in	ADP
fumecheng-12165	308	13	summary	summary	NOUN
fumecheng-12165	308	14	,	,	PUNCT
fumecheng-12165	308	15	the	the	DET
fumecheng-12165	308	16	proposed	propose	VERB
fumecheng-12165	308	17	study	study	NOUN
fumecheng-12165	308	18	provides	provide	VERB
fumecheng-12165	308	19	valuable	valuable	ADJ
fumecheng-12165	308	20	insights	insight	NOUN
fumecheng-12165	308	21	into	into	ADP
fumecheng-12165	308	22	the	the	DET
fumecheng-12165	308	23	dynamics	dynamic	NOUN
fumecheng-12165	308	24	of	of	ADP
fumecheng-12165	308	25	ve	ve	AUX
fumecheng-12165	308	26	sandwiched	sandwich	VERB
fumecheng-12165	308	27	structures	structure	NOUN
fumecheng-12165	308	28	integrated	integrate	VERB
fumecheng-12165	308	29	with	with	ADP
fumecheng-12165	308	30	aluminum	aluminum	NOUN
fumecheng-12165	308	31	sheets	sheet	NOUN
fumecheng-12165	308	32	,	,	PUNCT
fumecheng-12165	308	33	offering	offer	VERB
fumecheng-12165	308	34	a	a	DET
fumecheng-12165	308	35	comprehensive	comprehensive	ADJ
fumecheng-12165	308	36	understanding	understanding	NOUN
fumecheng-12165	308	37	of	of	ADP
fumecheng-12165	308	38	the	the	DET
fumecheng-12165	308	39	factors	factor	NOUN
fumecheng-12165	308	40	affecting	affect	VERB
fumecheng-12165	308	41	their	their	PRON
fumecheng-12165	308	42	damping	damp	VERB
fumecheng-12165	308	43	characteristics	characteristic	NOUN
fumecheng-12165	308	44	.	.	PUNCT
fumecheng-12165	309	1	references	reference	NOUN
fumecheng-12165	309	2	1	1	NUM
fumecheng-12165	309	3	.	.	PUNCT
fumecheng-12165	309	4	cunha	cunha	NOUN
fumecheng-12165	309	5	-	-	PUNCT
fumecheng-12165	309	6	filho	filho	PROPN
fumecheng-12165	309	7	,	,	PUNCT
fumecheng-12165	309	8	a.g	a.g	PROPN
fumecheng-12165	309	9	.	.	PROPN
fumecheng-12165	309	10	,	,	PUNCT
fumecheng-12165	309	11	de	de	X
fumecheng-12165	309	12	lima	lima	PROPN
fumecheng-12165	309	13	,	,	PUNCT
fumecheng-12165	309	14	a.m.g	a.m.g	NOUN
fumecheng-12165	309	15	.	.	PROPN
fumecheng-12165	309	16	,	,	PUNCT
fumecheng-12165	309	17	donadon	donadon	PROPN
fumecheng-12165	309	18	,	,	PUNCT
fumecheng-12165	309	19	m.v	m.v	PROPN
fumecheng-12165	309	20	.	.	PROPN
fumecheng-12165	309	21	,	,	PUNCT
fumecheng-12165	309	22	leão	leão	PROPN
fumecheng-12165	309	23	,	,	PUNCT
fumecheng-12165	309	24	l.s	l.s	PROPN
fumecheng-12165	309	25	.	.	PROPN
fumecheng-12165	309	26	,	,	PUNCT
fumecheng-12165	309	27	2016	2016	NUM
fumecheng-12165	309	28	,	,	PUNCT
fumecheng-12165	309	29	flutter	flutter	NOUN
fumecheng-12165	309	30	suppression	suppression	NOUN
fumecheng-12165	309	31	of	of	ADP
fumecheng-12165	309	32	plates	plate	NOUN
fumecheng-12165	309	33	subjected	subject	VERB
fumecheng-12165	309	34	to	to	ADP
fumecheng-12165	309	35	supersonic	supersonic	ADJ
fumecheng-12165	309	36	flow	flow	NOUN
fumecheng-12165	309	37	using	use	VERB
fumecheng-12165	309	38	passive	passive	ADJ
fumecheng-12165	309	39	constrained	constrain	VERB
fumecheng-12165	309	40	viscoelastic	viscoelastic	ADJ
fumecheng-12165	309	41	layers	layer	NOUN
fumecheng-12165	309	42	and	and	CCONJ
fumecheng-12165	309	43	golla	golla	NOUN
fumecheng-12165	309	44	-	-	PUNCT
fumecheng-12165	309	45	hughes	hughes	PROPN
fumecheng-12165	309	46	-	-	PUNCT
fumecheng-12165	309	47	mctavish	mctavish	PROPN
fumecheng-12165	309	48	method	method	NOUN
fumecheng-12165	309	49	,	,	PUNCT
fumecheng-12165	309	50	aerospace	aerospace	NOUN
fumecheng-12165	309	51	science	science	NOUN
fumecheng-12165	309	52	and	and	CCONJ
fumecheng-12165	309	53	technology	technology	NOUN
fumecheng-12165	309	54	,	,	PUNCT
fumecheng-12165	309	55	52	52	NUM
fumecheng-12165	309	56	,	,	PUNCT
fumecheng-12165	309	57	pp	pp	ADJ
fumecheng-12165	309	58	.	.	PUNCT
fumecheng-12165	310	1	70–80	70–80	NUM
fumecheng-12165	310	2	.	.	X
fumecheng-12165	311	1	2	2	NUM
fumecheng-12165	311	2	.	.	X
fumecheng-12165	311	3	kim	kim	PROPN
fumecheng-12165	311	4	,	,	PUNCT
fumecheng-12165	311	5	s.y	s.y	PROPN
fumecheng-12165	311	6	.	.	PROPN
fumecheng-12165	311	7	,	,	PUNCT
fumecheng-12165	311	8	kim	kim	PROPN
fumecheng-12165	311	9	,	,	PUNCT
fumecheng-12165	311	10	s.h	s.h	PROPN
fumecheng-12165	311	11	.	.	PROPN
fumecheng-12165	311	12	,	,	PUNCT
fumecheng-12165	311	13	oh	oh	INTJ
fumecheng-12165	311	14	,	,	PUNCT
fumecheng-12165	311	15	h.j	h.j	PROPN
fumecheng-12165	311	16	.	.	PROPN
fumecheng-12165	311	17	,	,	PUNCT
fumecheng-12165	311	18	leeh	leeh	ADJ
fumecheng-12165	311	19	,	,	PUNCT
fumecheng-12165	311	20	s.h	s.h	PROPN
fumecheng-12165	311	21	.	.	PROPN
fumecheng-12165	311	22	,	,	PUNCT
fumecheng-12165	311	23	youn	youn	PROPN
fumecheng-12165	311	24	,	,	PUNCT
fumecheng-12165	311	25	j.r	j.r	PROPN
fumecheng-12165	311	26	.	.	PROPN
fumecheng-12165	311	27	,	,	PUNCT
fumecheng-12165	311	28	2010	2010	NUM
fumecheng-12165	311	29	,	,	PUNCT
fumecheng-12165	311	30	residual	residual	ADJ
fumecheng-12165	311	31	stress	stress	NOUN
fumecheng-12165	311	32	and	and	CCONJ
fumecheng-12165	311	33	viscoelastic	viscoelastic	ADJ
fumecheng-12165	311	34	deformation	deformation	NOUN
fumecheng-12165	311	35	of	of	ADP
fumecheng-12165	311	36	film	film	NOUN
fumecheng-12165	311	37	insert	insert	NOUN
fumecheng-12165	311	38	molded	mold	VERB
fumecheng-12165	311	39	automotive	automotive	ADJ
fumecheng-12165	311	40	parts	part	NOUN
fumecheng-12165	311	41	,	,	PUNCT
fumecheng-12165	311	42	journal	journal	NOUN
fumecheng-12165	311	43	of	of	ADP
fumecheng-12165	311	44	applied	apply	VERB
fumecheng-12165	311	45	polymer	polymer	NOUN
fumecheng-12165	311	46	science	science	NOUN
fumecheng-12165	311	47	,	,	PUNCT
fumecheng-12165	311	48	118(5	118(5	NUM
fumecheng-12165	311	49	)	)	PUNCT
fumecheng-12165	311	50	,	,	PUNCT
fumecheng-12165	311	51	pp	pp	ADP
fumecheng-12165	311	52	.	.	PUNCT
fumecheng-12165	312	1	2530–2540	2530–2540	NUM
fumecheng-12165	312	2	.	.	PUNCT
fumecheng-12165	313	1	3	3	X
fumecheng-12165	313	2	.	.	X
fumecheng-12165	313	3	ye	ye	PROPN
fumecheng-12165	313	4	,	,	PUNCT
fumecheng-12165	313	5	k.	k.	PROPN
fumecheng-12165	313	6	,	,	PUNCT
fumecheng-12165	313	7	li	li	PROPN
fumecheng-12165	313	8	,	,	PUNCT
fumecheng-12165	313	9	l.	l.	PROPN
fumecheng-12165	313	10	,	,	PUNCT
fumecheng-12165	313	11	tang	tang	PROPN
fumecheng-12165	313	12	,	,	PUNCT
fumecheng-12165	313	13	j.	j.	PROPN
fumecheng-12165	313	14	,	,	PUNCT
fumecheng-12165	313	15	2003	2003	NUM
fumecheng-12165	313	16	,	,	PUNCT
fumecheng-12165	313	17	stochastic	stochastic	ADJ
fumecheng-12165	313	18	seismic	seismic	ADJ
fumecheng-12165	313	19	response	response	NOUN
fumecheng-12165	313	20	of	of	ADP
fumecheng-12165	313	21	structures	structure	NOUN
fumecheng-12165	313	22	with	with	ADP
fumecheng-12165	313	23	added	add	VERB
fumecheng-12165	313	24	viscoelastic	viscoelastic	ADJ
fumecheng-12165	313	25	dampers	damper	NOUN
fumecheng-12165	313	26	modeled	model	VERB
fumecheng-12165	313	27	by	by	ADP
fumecheng-12165	313	28	fractional	fractional	ADJ
fumecheng-12165	313	29	derivative	derivative	ADJ
fumecheng-12165	313	30	,	,	PUNCT
fumecheng-12165	313	31	earthquake	earthquake	NOUN
fumecheng-12165	313	32	engineering	engineering	NOUN
fumecheng-12165	313	33	and	and	CCONJ
fumecheng-12165	313	34	engineering	engineering	NOUN
fumecheng-12165	313	35	vibration	vibration	NOUN
fumecheng-12165	313	36	,	,	PUNCT
fumecheng-12165	313	37	2(1	2(1	NUM
fumecheng-12165	313	38	)	)	PUNCT
fumecheng-12165	313	39	,	,	PUNCT
fumecheng-12165	313	40	pp	pp	ADP
fumecheng-12165	313	41	.	.	PUNCT
fumecheng-12165	314	1	133–139	133–139	NUM
fumecheng-12165	314	2	.	.	NOUN
fumecheng-12165	314	3	4	4	NUM
fumecheng-12165	314	4	.	.	X
fumecheng-12165	314	5	milić	milić	NOUN
fumecheng-12165	314	6	,	,	PUNCT
fumecheng-12165	314	7	p.	p.	NOUN
fumecheng-12165	314	8	,	,	PUNCT
fumecheng-12165	314	9	marinković	marinković	PROPN
fumecheng-12165	314	10	,	,	PUNCT
fumecheng-12165	314	11	d.	d.	PROPN
fumecheng-12165	314	12	,	,	PUNCT
fumecheng-12165	314	13	klinge	klinge	PROPN
fumecheng-12165	314	14	,	,	PUNCT
fumecheng-12165	314	15	s.	s.	PROPN
fumecheng-12165	314	16	,	,	PUNCT
fumecheng-12165	314	17	ćojbašić	ćojbašić	PROPN
fumecheng-12165	314	18	,	,	PUNCT
fumecheng-12165	314	19	ž	ž	PROPN
fumecheng-12165	314	20	.	.	PROPN
fumecheng-12165	314	21	,	,	PUNCT
fumecheng-12165	314	22	2023	2023	NUM
fumecheng-12165	314	23	,	,	PUNCT
fumecheng-12165	314	24	reissner	reissner	NOUN
fumecheng-12165	314	25	-	-	PUNCT
fumecheng-12165	314	26	mindlin	mindlin	NOUN
fumecheng-12165	314	27	based	base	VERB
fumecheng-12165	314	28	isogeometric	isogeometric	ADJ
fumecheng-12165	314	29	finite	finite	PROPN
fumecheng-12165	314	30	element	element	NOUN
fumecheng-12165	314	31	formulation	formulation	NOUN
fumecheng-12165	314	32	for	for	ADP
fumecheng-12165	314	33	piezoelectric	piezoelectric	ADJ
fumecheng-12165	314	34	active	active	ADJ
fumecheng-12165	314	35	laminated	laminated	ADJ
fumecheng-12165	314	36	shells	shell	NOUN
fumecheng-12165	314	37	,	,	PUNCT
fumecheng-12165	314	38	tehnički	tehnički	PROPN
fumecheng-12165	314	39	vjesnik	vjesnik	PROPN
fumecheng-12165	314	40	,	,	PUNCT
fumecheng-12165	314	41	30(2	30(2	NUM
fumecheng-12165	314	42	)	)	PUNCT
fumecheng-12165	314	43	,	,	PUNCT
fumecheng-12165	314	44	pp	pp	PROPN
fumecheng-12165	314	45	.	.	PUNCT
fumecheng-12165	315	1	416	416	NUM
fumecheng-12165	315	2	-	-	SYM
fumecheng-12165	315	3	425	425	NUM
fumecheng-12165	315	4	.	.	NOUN
fumecheng-12165	316	1	5	5	NUM
fumecheng-12165	316	2	.	.	X
fumecheng-12165	316	3	gröhlich	gröhlich	PROPN
fumecheng-12165	316	4	,	,	PUNCT
fumecheng-12165	316	5	m.	m.	NOUN
fumecheng-12165	316	6	,	,	PUNCT
fumecheng-12165	316	7	böswald	böswald	NOUN
fumecheng-12165	316	8	,	,	PUNCT
fumecheng-12165	316	9	m.	m.	NOUN
fumecheng-12165	316	10	,	,	PUNCT
fumecheng-12165	316	11	wallaschek	wallaschek	PROPN
fumecheng-12165	316	12	,	,	PUNCT
fumecheng-12165	316	13	j.	j.	PROPN
fumecheng-12165	316	14	,	,	PUNCT
fumecheng-12165	316	15	2023	2023	NUM
fumecheng-12165	316	16	,	,	PUNCT
fumecheng-12165	316	17	viscoelastic	viscoelastic	ADJ
fumecheng-12165	316	18	damping	damp	VERB
fumecheng-12165	316	19	design	design	NOUN
fumecheng-12165	316	20	–	–	PUNCT
fumecheng-12165	316	21	a	a	DET
fumecheng-12165	316	22	novel	novel	ADJ
fumecheng-12165	316	23	approach	approach	NOUN
fumecheng-12165	316	24	for	for	ADP
fumecheng-12165	316	25	shape	shape	NOUN
fumecheng-12165	316	26	optimization	optimization	NOUN
fumecheng-12165	316	27	of	of	ADP
fumecheng-12165	316	28	constrained	constrain	VERB
fumecheng-12165	316	29	layer	layer	NOUN
fumecheng-12165	316	30	damping	damp	VERB
fumecheng-12165	316	31	treatments	treatment	NOUN
fumecheng-12165	316	32	at	at	ADP
fumecheng-12165	316	33	different	different	ADJ
fumecheng-12165	316	34	ambient	ambient	ADJ
fumecheng-12165	316	35	temperatures	temperature	NOUN
fumecheng-12165	316	36	,	,	PUNCT
fumecheng-12165	316	37	journal	journal	NOUN
fumecheng-12165	316	38	of	of	ADP
fumecheng-12165	316	39	sound	sound	NOUN
fumecheng-12165	316	40	and	and	CCONJ
fumecheng-12165	316	41	vibration	vibration	NOUN
fumecheng-12165	316	42	,	,	PUNCT
fumecheng-12165	316	43	555	555	NUM
fumecheng-12165	316	44	,	,	PUNCT
fumecheng-12165	316	45	117703	117703	NUM
fumecheng-12165	316	46	.	.	PUNCT
fumecheng-12165	317	1	6	6	NUM
fumecheng-12165	317	2	.	.	X
fumecheng-12165	317	3	ganguly	ganguly	PROPN
fumecheng-12165	317	4	,	,	PUNCT
fumecheng-12165	317	5	k.	k.	PROPN
fumecheng-12165	317	6	,	,	PUNCT
fumecheng-12165	317	7	roy	roy	PROPN
fumecheng-12165	317	8	,	,	PUNCT
fumecheng-12165	317	9	h.	h.	PROPN
fumecheng-12165	317	10	,	,	PUNCT
fumecheng-12165	317	11	2021	2021	NUM
fumecheng-12165	317	12	,	,	PUNCT
fumecheng-12165	317	13	modelling	modelling	NOUN
fumecheng-12165	317	14	and	and	CCONJ
fumecheng-12165	317	15	analysis	analysis	NOUN
fumecheng-12165	317	16	of	of	ADP
fumecheng-12165	317	17	viscoelastic	viscoelastic	ADJ
fumecheng-12165	317	18	laminated	laminate	VERB
fumecheng-12165	317	19	composite	composite	ADJ
fumecheng-12165	317	20	shaft	shaft	NOUN
fumecheng-12165	317	21	:	:	PUNCT
fumecheng-12165	317	22	an	an	DET
fumecheng-12165	317	23	operator	operator	NOUN
fumecheng-12165	317	24	-	-	PUNCT
fumecheng-12165	317	25	based	base	VERB
fumecheng-12165	317	26	finite	finite	PROPN
fumecheng-12165	317	27	element	element	NOUN
fumecheng-12165	317	28	approach	approach	NOUN
fumecheng-12165	317	29	,	,	PUNCT
fumecheng-12165	317	30	archive	archive	NOUN
fumecheng-12165	317	31	of	of	ADP
fumecheng-12165	317	32	applied	apply	VERB
fumecheng-12165	317	33	mechanics	mechanic	NOUN
fumecheng-12165	317	34	,	,	PUNCT
fumecheng-12165	317	35	91(1	91(1	NUM
fumecheng-12165	317	36	)	)	PUNCT
fumecheng-12165	317	37	,	,	PUNCT
fumecheng-12165	317	38	pp	pp	ADJ
fumecheng-12165	317	39	.	.	PUNCT
fumecheng-12165	318	1	343–362	343–362	NUM
fumecheng-12165	318	2	.	.	PUNCT
fumecheng-12165	319	1	7	7	X
fumecheng-12165	319	2	.	.	X
fumecheng-12165	319	3	wang	wang	PROPN
fumecheng-12165	319	4	,	,	PUNCT
fumecheng-12165	319	5	f.	f.	PROPN
fumecheng-12165	319	6	,	,	PUNCT
fumecheng-12165	319	7	liao	liao	PROPN
fumecheng-12165	319	8	,	,	PUNCT
fumecheng-12165	319	9	j.	j.	PROPN
fumecheng-12165	319	10	,	,	PUNCT
fumecheng-12165	319	11	huang	huang	PROPN
fumecheng-12165	319	12	,	,	PUNCT
fumecheng-12165	319	13	c.	c.	PROPN
fumecheng-12165	319	14	,	,	PUNCT
fumecheng-12165	319	15	yu	yu	PROPN
fumecheng-12165	319	16	,	,	PUNCT
fumecheng-12165	319	17	h.	h.	PROPN
fumecheng-12165	319	18	,	,	PUNCT
fumecheng-12165	319	19	yan	yan	PROPN
fumecheng-12165	319	20	,	,	PUNCT
fumecheng-12165	319	21	j.	j.	PROPN
fumecheng-12165	319	22	,	,	PUNCT
fumecheng-12165	319	23	li	li	PROPN
fumecheng-12165	319	24	,	,	PUNCT
fumecheng-12165	319	25	h.	h.	PROPN
fumecheng-12165	319	26	,	,	PUNCT
fumecheng-12165	319	27	2022	2022	NUM
fumecheng-12165	319	28	,	,	PUNCT
fumecheng-12165	319	29	study	study	NOUN
fumecheng-12165	319	30	on	on	ADP
fumecheng-12165	319	31	the	the	DET
fumecheng-12165	319	32	damping	damp	VERB
fumecheng-12165	319	33	dynamics	dynamic	NOUN
fumecheng-12165	319	34	characteristics	characteristic	NOUN
fumecheng-12165	319	35	of	of	ADP
fumecheng-12165	319	36	a	a	DET
fumecheng-12165	319	37	viscoelastic	viscoelastic	ADJ
fumecheng-12165	319	38	damping	damp	VERB
fumecheng-12165	319	39	material	material	NOUN
fumecheng-12165	319	40	,	,	PUNCT
fumecheng-12165	319	41	process	process	NOUN
fumecheng-12165	319	42	,	,	PUNCT
fumecheng-12165	319	43	10(4	10(4	NUM
fumecheng-12165	319	44	)	)	PUNCT
fumecheng-12165	319	45	,	,	PUNCT
fumecheng-12165	319	46	635	635	NUM
fumecheng-12165	319	47	.	.	NOUN
fumecheng-12165	319	48	8	8	NUM
fumecheng-12165	319	49	.	.	X
fumecheng-12165	320	1	zenkour	zenkour	NOUN
fumecheng-12165	320	2	,	,	PUNCT
fumecheng-12165	320	3	a.m.	a.m.	ADV
fumecheng-12165	320	4	,	,	PUNCT
fumecheng-12165	320	5	el	el	PROPN
fumecheng-12165	320	6	-	-	PUNCT
fumecheng-12165	320	7	mekawy	mekawy	PROPN
fumecheng-12165	320	8	,	,	PUNCT
fumecheng-12165	320	9	h.f	h.f	PROPN
fumecheng-12165	320	10	.	.	PROPN
fumecheng-12165	320	11	,	,	PUNCT
fumecheng-12165	320	12	2018	2018	NUM
fumecheng-12165	320	13	,	,	PUNCT
fumecheng-12165	320	14	stresses	stress	NOUN
fumecheng-12165	320	15	in	in	ADP
fumecheng-12165	320	16	inhomogeneous	inhomogeneous	ADJ
fumecheng-12165	320	17	elastic	elastic	ADJ
fumecheng-12165	320	18	–	–	PUNCT
fumecheng-12165	320	19	viscoelastic	viscoelastic	ADJ
fumecheng-12165	320	20	–	–	PUNCT
fumecheng-12165	320	21	elastic	elastic	ADJ
fumecheng-12165	320	22	sandwich	sandwich	NOUN
fumecheng-12165	320	23	plates	plate	NOUN
fumecheng-12165	320	24	via	via	ADP
fumecheng-12165	320	25	hyperbolic	hyperbolic	ADJ
fumecheng-12165	320	26	shear	shear	NOUN
fumecheng-12165	320	27	deformation	deformation	NOUN
fumecheng-12165	320	28	theory	theory	NOUN
fumecheng-12165	320	29	,	,	PUNCT
fumecheng-12165	320	30	journal	journal	NOUN
fumecheng-12165	320	31	of	of	ADP
fumecheng-12165	320	32	the	the	DET
fumecheng-12165	320	33	brazilian	brazilian	ADJ
fumecheng-12165	320	34	society	society	NOUN
fumecheng-12165	320	35	of	of	ADP
fumecheng-12165	320	36	mechanical	mechanical	ADJ
fumecheng-12165	320	37	sciences	science	NOUN
fumecheng-12165	320	38	and	and	CCONJ
fumecheng-12165	320	39	engineering	engineering	NOUN
fumecheng-12165	320	40	,	,	PUNCT
fumecheng-12165	320	41	40(7	40(7	NOUN
fumecheng-12165	320	42	)	)	PUNCT
fumecheng-12165	320	43	,	,	PUNCT
fumecheng-12165	320	44	363	363	NUM
fumecheng-12165	320	45	.	.	X
fumecheng-12165	321	1	9	9	NUM
fumecheng-12165	321	2	.	.	X
fumecheng-12165	322	1	marinkovic	marinkovic	PROPN
fumecheng-12165	322	2	,	,	PUNCT
fumecheng-12165	322	3	d.	d.	PROPN
fumecheng-12165	322	4	,	,	PUNCT
fumecheng-12165	322	5	zehn	zehn	PROPN
fumecheng-12165	322	6	,	,	PUNCT
fumecheng-12165	322	7	m.	m.	NOUN
fumecheng-12165	322	8	,	,	PUNCT
fumecheng-12165	322	9	marinkovic	marinkovic	PROPN
fumecheng-12165	322	10	,	,	PUNCT
fumecheng-12165	322	11	z.	z.	PROPN
fumecheng-12165	322	12	,	,	PUNCT
fumecheng-12165	322	13	2012	2012	NUM
fumecheng-12165	322	14	,	,	PUNCT
fumecheng-12165	322	15	finite	finite	ADJ
fumecheng-12165	322	16	element	element	NOUN
fumecheng-12165	322	17	formulations	formulation	NOUN
fumecheng-12165	322	18	for	for	ADP
fumecheng-12165	322	19	effective	effective	ADJ
fumecheng-12165	322	20	computations	computation	NOUN
fumecheng-12165	322	21	of	of	ADP
fumecheng-12165	322	22	geometrically	geometrically	ADV
fumecheng-12165	322	23	nonlinear	nonlinear	ADJ
fumecheng-12165	322	24	deformations	deformation	NOUN
fumecheng-12165	322	25	,	,	PUNCT
fumecheng-12165	322	26	advances	advance	NOUN
fumecheng-12165	322	27	in	in	ADP
fumecheng-12165	322	28	engineering	engineering	NOUN
fumecheng-12165	322	29	software	software	NOUN
fumecheng-12165	322	30	,	,	PUNCT
fumecheng-12165	322	31	50(1	50(1	PROPN
fumecheng-12165	322	32	)	)	PUNCT
fumecheng-12165	322	33	,	,	PUNCT
fumecheng-12165	322	34	pp	pp	PROPN
fumecheng-12165	322	35	.	.	PUNCT
fumecheng-12165	323	1	3–11	3–11	NOUN
fumecheng-12165	323	2	.	.	PROPN
fumecheng-12165	324	1	10	10	NUM
fumecheng-12165	324	2	.	.	X
fumecheng-12165	324	3	safaei	safaei	PROPN
fumecheng-12165	324	4	,	,	PUNCT
fumecheng-12165	324	5	b.	b.	PROPN
fumecheng-12165	324	6	,	,	PUNCT
fumecheng-12165	324	7	onyibo	onyibo	PROPN
fumecheng-12165	324	8	,	,	PUNCT
fumecheng-12165	324	9	e.c	e.c	PROPN
fumecheng-12165	324	10	.	.	PROPN
fumecheng-12165	324	11	,	,	PUNCT
fumecheng-12165	324	12	hurdoganoglu	hurdoganoglu	PROPN
fumecheng-12165	324	13	,	,	PUNCT
fumecheng-12165	324	14	d.	d.	PROPN
fumecheng-12165	324	15	,	,	PUNCT
fumecheng-12165	324	16	2022	2022	NUM
fumecheng-12165	324	17	,	,	PUNCT
fumecheng-12165	324	18	effect	effect	NOUN
fumecheng-12165	324	19	of	of	ADP
fumecheng-12165	324	20	static	static	ADJ
fumecheng-12165	324	21	and	and	CCONJ
fumecheng-12165	324	22	harmonic	harmonic	ADJ
fumecheng-12165	324	23	loading	loading	NOUN
fumecheng-12165	324	24	on	on	ADP
fumecheng-12165	324	25	the	the	DET
fumecheng-12165	324	26	honeycomb	honeycomb	NOUN
fumecheng-12165	324	27	sandwich	sandwich	NOUN
fumecheng-12165	324	28	beam	beam	NOUN
fumecheng-12165	324	29	by	by	ADP
fumecheng-12165	324	30	using	use	VERB
fumecheng-12165	324	31	finite	finite	ADJ
fumecheng-12165	324	32	element	element	NOUN
fumecheng-12165	324	33	method	method	NOUN
fumecheng-12165	324	34	,	,	PUNCT
fumecheng-12165	324	35	facta	facta	PROPN
fumecheng-12165	324	36	universitatis	universitatis	PROPN
fumecheng-12165	324	37	-	-	PUNCT
fumecheng-12165	324	38	series	series	NOUN
fumecheng-12165	324	39	mechanical	mechanical	ADJ
fumecheng-12165	324	40	engineering	engineering	NOUN
fumecheng-12165	324	41	,	,	PUNCT
fumecheng-12165	324	42	20(2	20(2	NUM
fumecheng-12165	324	43	)	)	PUNCT
fumecheng-12165	324	44	,	,	PUNCT
fumecheng-12165	324	45	pp	pp	ADJ
fumecheng-12165	324	46	.	.	PUNCT
fumecheng-12165	325	1	279–306	279–306	NUM
fumecheng-12165	325	2	.	.	PUNCT
fumecheng-12165	326	1	11	11	NUM
fumecheng-12165	326	2	.	.	X
fumecheng-12165	327	1	safaei	safaei	PROPN
fumecheng-12165	327	2	,	,	PUNCT
fumecheng-12165	327	3	b.	b.	PROPN
fumecheng-12165	327	4	,	,	PUNCT
fumecheng-12165	327	5	onyibo	onyibo	PROPN
fumecheng-12165	327	6	,	,	PUNCT
fumecheng-12165	327	7	e.c	e.c	PROPN
fumecheng-12165	327	8	.	.	PROPN
fumecheng-12165	327	9	,	,	PUNCT
fumecheng-12165	327	10	hurdoganoglu	hurdoganoglu	PROPN
fumecheng-12165	327	11	,	,	PUNCT
fumecheng-12165	327	12	d.	d.	PROPN
fumecheng-12165	327	13	,	,	PUNCT
fumecheng-12165	327	14	2022	2022	NUM
fumecheng-12165	327	15	,	,	PUNCT
fumecheng-12165	327	16	thermal	thermal	ADJ
fumecheng-12165	327	17	buckling	buckling	NOUN
fumecheng-12165	327	18	and	and	CCONJ
fumecheng-12165	327	19	bending	bend	VERB
fumecheng-12165	327	20	analyses	analysis	NOUN
fumecheng-12165	327	21	of	of	ADP
fumecheng-12165	327	22	carbon	carbon	NOUN
fumecheng-12165	327	23	foam	foam	NOUN
fumecheng-12165	327	24	beams	beam	NOUN
fumecheng-12165	327	25	sandwiched	sandwich	VERB
fumecheng-12165	327	26	by	by	ADP
fumecheng-12165	327	27	composite	composite	ADJ
fumecheng-12165	327	28	faces	face	NOUN
fumecheng-12165	327	29	under	under	ADP
fumecheng-12165	327	30	axial	axial	ADJ
fumecheng-12165	327	31	compression	compression	NOUN
fumecheng-12165	327	32	,	,	PUNCT
fumecheng-12165	327	33	facta	facta	PROPN
fumecheng-12165	327	34	universitatis	universitatis	PROPN
fumecheng-12165	327	35	-	-	PUNCT
fumecheng-12165	327	36	series	series	NOUN
fumecheng-12165	327	37	mechanical	mechanical	ADJ
fumecheng-12165	327	38	engineering	engineering	NOUN
fumecheng-12165	327	39	,	,	PUNCT
fumecheng-12165	327	40	20(3	20(3	NOUN
fumecheng-12165	327	41	)	)	PUNCT
fumecheng-12165	327	42	,	,	PUNCT
fumecheng-12165	327	43	pp	pp	ADJ
fumecheng-12165	327	44	.	.	PUNCT
fumecheng-12165	328	1	589	589	NUM
fumecheng-12165	328	2	-	-	SYM
fumecheng-12165	328	3	615	615	NUM
fumecheng-12165	328	4	.	.	PUNCT
fumecheng-12165	329	1	12	12	NUM
fumecheng-12165	329	2	.	.	PUNCT
fumecheng-12165	330	1	safaei	safaei	PROPN
fumecheng-12165	330	2	,	,	PUNCT
fumecheng-12165	330	3	b.	b.	PROPN
fumecheng-12165	330	4	,	,	PUNCT
fumecheng-12165	330	5	onyibo	onyibo	PROPN
fumecheng-12165	330	6	,	,	PUNCT
fumecheng-12165	330	7	e.c	e.c	PROPN
fumecheng-12165	330	8	,	,	PUNCT
fumecheng-12165	330	9	goren	goren	PROPN
fumecheng-12165	330	10	,	,	PUNCT
fumecheng-12165	330	11	m.	m.	NOUN
fumecheng-12165	330	12	,	,	PUNCT
fumecheng-12165	330	13	kotrasova	kotrasova	PROPN
fumecheng-12165	330	14	,	,	PUNCT
fumecheng-12165	330	15	k.	k.	PROPN
fumecheng-12165	330	16	,	,	PUNCT
fumecheng-12165	330	17	yang	yang	PROPN
fumecheng-12165	330	18	,	,	PUNCT
fumecheng-12165	330	19	z.	z.	PROPN
fumecheng-12165	330	20	,	,	PUNCT
fumecheng-12165	330	21	arman	arman	PROPN
fumecheng-12165	330	22	,	,	PUNCT
fumecheng-12165	330	23	s.	s.	PROPN
fumecheng-12165	330	24	,	,	PUNCT
fumecheng-12165	330	25	asmael	asmael	PROPN
fumecheng-12165	330	26	,	,	PUNCT
fumecheng-12165	330	27	m.	m.	NOUN
fumecheng-12165	330	28	,	,	PUNCT
fumecheng-12165	330	29	2023	2023	NUM
fumecheng-12165	330	30	,	,	PUNCT
fumecheng-12165	330	31	free	free	ADJ
fumecheng-12165	330	32	vibration	vibration	NOUN
fumecheng-12165	330	33	investigation	investigation	NOUN
fumecheng-12165	330	34	on	on	ADP
fumecheng-12165	330	35	rve	rve	PROPN
fumecheng-12165	330	36	of	of	ADP
fumecheng-12165	330	37	proposed	propose	VERB
fumecheng-12165	330	38	honeycomb	honeycomb	NOUN
fumecheng-12165	330	39	sandwich	sandwich	NOUN
fumecheng-12165	330	40	beam	beam	NOUN
fumecheng-12165	330	41	and	and	CCONJ
fumecheng-12165	330	42	material	material	NOUN
fumecheng-12165	330	43	selection	selection	NOUN
fumecheng-12165	330	44	optimization	optimization	NOUN
fumecheng-12165	330	45	,	,	PUNCT
fumecheng-12165	330	46	facta	facta	PROPN
fumecheng-12165	330	47	universitatis	universitatis	PROPN
fumecheng-12165	330	48	-	-	PUNCT
fumecheng-12165	330	49	series	series	NOUN
fumecheng-12165	330	50	mechanical	mechanical	ADJ
fumecheng-12165	330	51	engineering	engineering	NOUN
fumecheng-12165	330	52	,	,	PUNCT
fumecheng-12165	330	53	21(1	21(1	NUM
fumecheng-12165	330	54	)	)	PUNCT
fumecheng-12165	330	55	,	,	PUNCT
fumecheng-12165	330	56	pp	pp	ADP
fumecheng-12165	330	57	.	.	PUNCT
fumecheng-12165	331	1	31–50	31–50	NUM
fumecheng-12165	331	2	.	.	PUNCT
fumecheng-12165	332	1	13	13	NUM
fumecheng-12165	332	2	.	.	PUNCT
fumecheng-12165	333	1	arvin	arvin	PROPN
fumecheng-12165	333	2	,	,	PUNCT
fumecheng-12165	333	3	h.	h.	PROPN
fumecheng-12165	333	4	,	,	PUNCT
fumecheng-12165	333	5	sadighi	sadighi	PROPN
fumecheng-12165	333	6	,	,	PUNCT
fumecheng-12165	333	7	m.	m.	NOUN
fumecheng-12165	333	8	,	,	PUNCT
fumecheng-12165	333	9	ohadi	ohadi	NOUN
fumecheng-12165	333	10	,	,	PUNCT
fumecheng-12165	333	11	a.r	a.r	PROPN
fumecheng-12165	333	12	.	.	PROPN
fumecheng-12165	333	13	,	,	PUNCT
fumecheng-12165	333	14	2010	2010	NUM
fumecheng-12165	333	15	,	,	PUNCT
fumecheng-12165	333	16	a	a	DET
fumecheng-12165	333	17	numerical	numerical	ADJ
fumecheng-12165	333	18	study	study	NOUN
fumecheng-12165	333	19	of	of	ADP
fumecheng-12165	333	20	free	free	ADJ
fumecheng-12165	333	21	and	and	CCONJ
fumecheng-12165	333	22	forced	force	VERB
fumecheng-12165	333	23	vibration	vibration	NOUN
fumecheng-12165	333	24	of	of	ADP
fumecheng-12165	333	25	composite	composite	ADJ
fumecheng-12165	333	26	sandwich	sandwich	NOUN
fumecheng-12165	333	27	beam	beam	NOUN
fumecheng-12165	333	28	with	with	ADP
fumecheng-12165	333	29	viscoelastic	viscoelastic	NOUN
fumecheng-12165	333	30	core	core	NOUN
fumecheng-12165	333	31	,	,	PUNCT
fumecheng-12165	333	32	composite	composite	ADJ
fumecheng-12165	333	33	structures	structure	NOUN
fumecheng-12165	333	34	,	,	PUNCT
fumecheng-12165	333	35	92(4	92(4	NOUN
fumecheng-12165	333	36	)	)	PUNCT
fumecheng-12165	333	37	,	,	PUNCT
fumecheng-12165	333	38	pp	pp	ADP
fumecheng-12165	333	39	.	.	PUNCT
fumecheng-12165	334	1	996–1008	996–1008	X
fumecheng-12165	334	2	.	.	PUNCT
fumecheng-12165	335	1	14	14	NUM
fumecheng-12165	335	2	.	.	PUNCT
fumecheng-12165	336	1	wang	wang	PROPN
fumecheng-12165	336	2	,	,	PUNCT
fumecheng-12165	336	3	y.	y.	PROPN
fumecheng-12165	336	4	,	,	PUNCT
fumecheng-12165	336	5	inman	inman	PROPN
fumecheng-12165	336	6	,	,	PUNCT
fumecheng-12165	336	7	d.j	d.j	PROPN
fumecheng-12165	336	8	.	.	PROPN
fumecheng-12165	336	9	,	,	PUNCT
fumecheng-12165	336	10	2013	2013	NUM
fumecheng-12165	336	11	,	,	PUNCT
fumecheng-12165	336	12	finite	finite	NOUN
fumecheng-12165	336	13	element	element	NOUN
fumecheng-12165	336	14	analysis	analysis	NOUN
fumecheng-12165	336	15	and	and	CCONJ
fumecheng-12165	336	16	experimental	experimental	ADJ
fumecheng-12165	336	17	study	study	NOUN
fumecheng-12165	336	18	on	on	ADP
fumecheng-12165	336	19	dynamic	dynamic	ADJ
fumecheng-12165	336	20	properties	property	NOUN
fumecheng-12165	336	21	of	of	ADP
fumecheng-12165	336	22	a	a	DET
fumecheng-12165	336	23	composite	composite	ADJ
fumecheng-12165	336	24	beam	beam	NOUN
fumecheng-12165	336	25	with	with	ADP
fumecheng-12165	336	26	viscoelastic	viscoelastic	ADJ
fumecheng-12165	336	27	damping	damping	NOUN
fumecheng-12165	336	28	,	,	PUNCT
fumecheng-12165	336	29	.	.	PUNCT
fumecheng-12165	337	1	journal	journal	PROPN
fumecheng-12165	337	2	of	of	ADP
fumecheng-12165	337	3	sound	sound	NOUN
fumecheng-12165	337	4	and	and	CCONJ
fumecheng-12165	337	5	vibration	vibration	NOUN
fumecheng-12165	337	6	,	,	PUNCT
fumecheng-12165	337	7	332(23	332(23	NUM
fumecheng-12165	337	8	)	)	PUNCT
fumecheng-12165	337	9	,	,	PUNCT
fumecheng-12165	337	10	pp	pp	ADJ
fumecheng-12165	337	11	.	.	PUNCT
fumecheng-12165	338	1	6177–6191	6177–6191	NUM
fumecheng-12165	338	2	.	.	PUNCT
fumecheng-12165	339	1	15	15	NUM
fumecheng-12165	339	2	.	.	PUNCT
fumecheng-12165	340	1	lin	lin	PROPN
fumecheng-12165	340	2	,	,	PUNCT
fumecheng-12165	340	3	f.	f.	PROPN
fumecheng-12165	340	4	,	,	PUNCT
fumecheng-12165	340	5	rao	rao	PROPN
fumecheng-12165	340	6	,	,	PUNCT
fumecheng-12165	340	7	m.d	m.d	PROPN
fumecheng-12165	340	8	.	.	PROPN
fumecheng-12165	340	9	,	,	PUNCT
fumecheng-12165	340	10	2010	2010	NUM
fumecheng-12165	340	11	,	,	PUNCT
fumecheng-12165	340	12	vibration	vibration	NOUN
fumecheng-12165	340	13	analysis	analysis	NOUN
fumecheng-12165	340	14	of	of	ADP
fumecheng-12165	340	15	a	a	DET
fumecheng-12165	340	16	multiple	multiple	ADJ
fumecheng-12165	340	17	-	-	PUNCT
fumecheng-12165	340	18	layered	layered	ADJ
fumecheng-12165	340	19	viscoelastic	viscoelastic	ADJ
fumecheng-12165	340	20	structure	structure	NOUN
fumecheng-12165	340	21	using	use	VERB
fumecheng-12165	340	22	the	the	DET
fumecheng-12165	340	23	biot	biot	ADJ
fumecheng-12165	340	24	damping	damp	VERB
fumecheng-12165	340	25	model	model	NOUN
fumecheng-12165	340	26	,	,	PUNCT
fumecheng-12165	340	27	aiaa	aiaa	PROPN
fumecheng-12165	340	28	journal	journal	PROPN
fumecheng-12165	340	29	,	,	PUNCT
fumecheng-12165	340	30	48(3	48(3	PROPN
fumecheng-12165	340	31	)	)	PUNCT
fumecheng-12165	340	32	,	,	PUNCT
fumecheng-12165	340	33	pp	pp	ADP
fumecheng-12165	340	34	.	.	PUNCT
fumecheng-12165	341	1	624–634	624–634	NUM
fumecheng-12165	341	2	.	.	NOUN
fumecheng-12165	342	1	16	16	NUM
fumecheng-12165	342	2	.	.	PUNCT
fumecheng-12165	342	3	shashidhar	shashidhar	PROPN
fumecheng-12165	342	4	,	,	PUNCT
fumecheng-12165	342	5	r.r	r.r	PROPN
fumecheng-12165	342	6	.	.	PROPN
fumecheng-12165	342	7	,	,	PUNCT
fumecheng-12165	342	8	panda	panda	NOUN
fumecheng-12165	342	9	s	s	PROPN
fumecheng-12165	342	10	,	,	PUNCT
fumecheng-12165	342	11	2023	2023	NUM
fumecheng-12165	342	12	,	,	PUNCT
fumecheng-12165	342	13	a	a	DET
fumecheng-12165	342	14	generalized	generalize	VERB
fumecheng-12165	342	15	finite	finite	ADJ
fumecheng-12165	342	16	element	element	NOUN
fumecheng-12165	342	17	formulation	formulation	NOUN
fumecheng-12165	342	18	for	for	ADP
fumecheng-12165	342	19	nonlinear	nonlinear	ADJ
fumecheng-12165	342	20	frequency	frequency	NOUN
fumecheng-12165	342	21	response	response	NOUN
fumecheng-12165	342	22	analysis	analysis	NOUN
fumecheng-12165	342	23	of	of	ADP
fumecheng-12165	342	24	viscoelastic	viscoelastic	ADJ
fumecheng-12165	342	25	sandwich	sandwich	NOUN
fumecheng-12165	342	26	beams	beam	NOUN
fumecheng-12165	342	27	using	use	VERB
fumecheng-12165	342	28	harmonic	harmonic	ADJ
fumecheng-12165	342	29	balance	balance	NOUN
fumecheng-12165	342	30	method	method	NOUN
fumecheng-12165	342	31	,	,	PUNCT
fumecheng-12165	342	32	archive	archive	NOUN
fumecheng-12165	342	33	of	of	ADP
fumecheng-12165	342	34	applied	apply	VERB
fumecheng-12165	342	35	mechanics	mechanic	NOUN
fumecheng-12165	342	36	,	,	PUNCT
fumecheng-12165	342	37	93	93	NUM
fumecheng-12165	342	38	,	,	PUNCT
fumecheng-12165	342	39	pp	pp	ADJ
fumecheng-12165	342	40	.	.	PUNCT
fumecheng-12165	343	1	2209–2241	2209–2241	NUM
fumecheng-12165	343	2	.	.	PUNCT
fumecheng-12165	344	1	17	17	NUM
fumecheng-12165	344	2	.	.	X
fumecheng-12165	345	1	jahan	jahan	PROPN
fumecheng-12165	345	2	,	,	PUNCT
fumecheng-12165	345	3	a.	a.	PROPN
fumecheng-12165	345	4	,	,	PUNCT
fumecheng-12165	345	5	kuchak	kuchak	PROPN
fumecheng-12165	345	6	,	,	PUNCT
fumecheng-12165	345	7	t.	t.	PROPN
fumecheng-12165	345	8	,	,	PUNCT
fumecheng-12165	345	9	dragan	dragan	NOUN
fumecheng-12165	345	10	,	,	PUNCT
fumecheng-12165	345	11	m.	m.	NOUN
fumecheng-12165	345	12	,	,	PUNCT
fumecheng-12165	345	13	zehn	zehn	NOUN
fumecheng-12165	345	14	,	,	PUNCT
fumecheng-12165	345	15	m.	m.	NOUN
fumecheng-12165	345	16	,	,	PUNCT
fumecheng-12165	345	17	2021	2021	NUM
fumecheng-12165	345	18	,	,	PUNCT
fumecheng-12165	345	19	parametric	parametric	ADJ
fumecheng-12165	345	20	investigation	investigation	NOUN
fumecheng-12165	345	21	of	of	ADP
fumecheng-12165	345	22	a	a	DET
fumecheng-12165	345	23	rail	rail	NOUN
fumecheng-12165	345	24	damper	damper	NOUN
fumecheng-12165	345	25	design	design	NOUN
fumecheng-12165	345	26	based	base	VERB
fumecheng-12165	345	27	on	on	ADP
fumecheng-12165	345	28	a	a	DET
fumecheng-12165	345	29	lab	lab	NOUN
fumecheng-12165	345	30	-	-	PUNCT
fumecheng-12165	345	31	scaled	scale	VERB
fumecheng-12165	345	32	model	model	NOUN
fumecheng-12165	345	33	,	,	PUNCT
fumecheng-12165	345	34	journal	journal	NOUN
fumecheng-12165	345	35	of	of	ADP
fumecheng-12165	345	36	vibration	vibration	NOUN
fumecheng-12165	345	37	engineering	engineering	NOUN
fumecheng-12165	345	38	&	&	CCONJ
fumecheng-12165	345	39	technologies	technology	NOUN
fumecheng-12165	345	40	,	,	PUNCT
fumecheng-12165	345	41	9(1	9(1	NUM
fumecheng-12165	345	42	)	)	PUNCT
fumecheng-12165	345	43	,	,	PUNCT
fumecheng-12165	345	44	pp	pp	ADP
fumecheng-12165	345	45	.	.	PUNCT
fumecheng-12165	346	1	51	51	NUM
fumecheng-12165	346	2	-	-	SYM
fumecheng-12165	346	3	60	60	NUM
fumecheng-12165	346	4	.	.	PUNCT
fumecheng-12165	347	1	18	18	NUM
fumecheng-12165	347	2	.	.	PUNCT
fumecheng-12165	348	1	araújo	araújo	PROPN
fumecheng-12165	348	2	,	,	PUNCT
fumecheng-12165	348	3	a.l	a.l	PROPN
fumecheng-12165	348	4	.	.	PROPN
fumecheng-12165	348	5	,	,	PUNCT
fumecheng-12165	348	6	mota	mota	PROPN
fumecheng-12165	348	7	soares	soares	PROPN
fumecheng-12165	348	8	,	,	PUNCT
fumecheng-12165	348	9	c.m	c.m	PROPN
fumecheng-12165	348	10	.	.	PROPN
fumecheng-12165	348	11	,	,	PUNCT
fumecheng-12165	348	12	mota	mota	PROPN
fumecheng-12165	348	13	soares	soares	PROPN
fumecheng-12165	348	14	,	,	PUNCT
fumecheng-12165	348	15	c.a	c.a	PROPN
fumecheng-12165	348	16	.	.	PROPN
fumecheng-12165	348	17	,	,	PUNCT
fumecheng-12165	348	18	2010	2010	NUM
fumecheng-12165	348	19	,	,	PUNCT
fumecheng-12165	348	20	a	a	DET
fumecheng-12165	348	21	viscoelastic	viscoelastic	ADJ
fumecheng-12165	348	22	sandwich	sandwich	NOUN
fumecheng-12165	348	23	finite	finite	PROPN
fumecheng-12165	348	24	element	element	NOUN
fumecheng-12165	348	25	model	model	NOUN
fumecheng-12165	348	26	for	for	ADP
fumecheng-12165	348	27	the	the	DET
fumecheng-12165	348	28	analysis	analysis	NOUN
fumecheng-12165	348	29	of	of	ADP
fumecheng-12165	348	30	passive	passive	ADJ
fumecheng-12165	348	31	,	,	PUNCT
fumecheng-12165	348	32	active	active	ADJ
fumecheng-12165	348	33	and	and	CCONJ
fumecheng-12165	348	34	hybrid	hybrid	ADJ
fumecheng-12165	348	35	structures	structure	NOUN
fumecheng-12165	348	36	,	,	PUNCT
fumecheng-12165	348	37	applied	apply	VERB
fumecheng-12165	348	38	composite	composite	ADJ
fumecheng-12165	348	39	materials	material	NOUN
fumecheng-12165	348	40	,	,	PUNCT
fumecheng-12165	348	41	17(5	17(5	NUM
fumecheng-12165	348	42	)	)	PUNCT
fumecheng-12165	348	43	,	,	PUNCT
fumecheng-12165	348	44	pp	pp	ADP
fumecheng-12165	348	45	.	.	PUNCT
fumecheng-12165	349	1	529–542	529–542	NUM
fumecheng-12165	349	2	.	.	PUNCT
fumecheng-12165	350	1	19	19	NUM
fumecheng-12165	350	2	.	.	PUNCT
fumecheng-12165	351	1	lewandowski	lewandowski	PROPN
fumecheng-12165	351	2	r	r	PROPN
fumecheng-12165	351	3	,	,	PUNCT
fumecheng-12165	351	4	baum	baum	PROPN
fumecheng-12165	351	5	m	m	PROPN
fumecheng-12165	351	6	,	,	PUNCT
fumecheng-12165	351	7	2015	2015	NUM
fumecheng-12165	351	8	,	,	PUNCT
fumecheng-12165	351	9	dynamic	dynamic	ADJ
fumecheng-12165	351	10	characteristics	characteristic	NOUN
fumecheng-12165	351	11	of	of	ADP
fumecheng-12165	351	12	multilayered	multilayered	ADJ
fumecheng-12165	351	13	beams	beam	NOUN
fumecheng-12165	351	14	with	with	ADP
fumecheng-12165	351	15	viscoelastic	viscoelastic	ADJ
fumecheng-12165	351	16	layers	layer	NOUN
fumecheng-12165	351	17	described	describe	VERB
fumecheng-12165	351	18	by	by	ADP
fumecheng-12165	351	19	the	the	DET
fumecheng-12165	351	20	fractional	fractional	ADJ
fumecheng-12165	351	21	zener	zener	NOUN
fumecheng-12165	351	22	model	model	NOUN
fumecheng-12165	351	23	,	,	PUNCT
fumecheng-12165	351	24	archive	archive	NOUN
fumecheng-12165	351	25	of	of	ADP
fumecheng-12165	351	26	applied	apply	VERB
fumecheng-12165	351	27	mechanics	mechanic	NOUN
fumecheng-12165	351	28	,	,	PUNCT
fumecheng-12165	351	29	85(12	85(12	NUM
fumecheng-12165	351	30	)	)	PUNCT
fumecheng-12165	351	31	,	,	PUNCT
fumecheng-12165	351	32	pp	pp	ADJ
fumecheng-12165	351	33	.	.	PUNCT
fumecheng-12165	351	34	1793–1814	1793–1814	NUM
fumecheng-12165	351	35	.	.	PUNCT
fumecheng-12165	352	1	20	20	NUM
fumecheng-12165	352	2	.	.	X
fumecheng-12165	353	1	daya	daya	PROPN
fumecheng-12165	353	2	e.m	e.m	PROPN
fumecheng-12165	353	3	,	,	PUNCT
fumecheng-12165	353	4	potier	potier	NOUN
fumecheng-12165	353	5	-	-	PUNCT
fumecheng-12165	353	6	ferry	ferry	NOUN
fumecheng-12165	353	7	m	m	PROPN
fumecheng-12165	353	8	,	,	PUNCT
fumecheng-12165	353	9	2002	2002	NUM
fumecheng-12165	353	10	,	,	PUNCT
fumecheng-12165	353	11	a	a	DET
fumecheng-12165	353	12	shell	shell	ADJ
fumecheng-12165	353	13	finite	finite	NOUN
fumecheng-12165	353	14	element	element	NOUN
fumecheng-12165	353	15	for	for	ADP
fumecheng-12165	353	16	viscoelastically	viscoelastically	ADV
fumecheng-12165	353	17	damped	damped	ADJ
fumecheng-12165	353	18	sandwich	sandwich	NOUN
fumecheng-12165	353	19	structures	structure	NOUN
fumecheng-12165	353	20	,	,	PUNCT
fumecheng-12165	353	21	revue	revue	PROPN
fumecheng-12165	353	22	europeenne	europeenne	PROPN
fumecheng-12165	353	23	des	des	PROPN
fumecheng-12165	353	24	elements	elements	PROPN
fumecheng-12165	353	25	,	,	PUNCT
fumecheng-12165	353	26	11(1	11(1	NUM
fumecheng-12165	353	27	)	)	PUNCT
fumecheng-12165	353	28	,	,	PUNCT
fumecheng-12165	353	29	pp	pp	ADJ
fumecheng-12165	353	30	.	.	PUNCT
fumecheng-12165	354	1	39–56	39–56	NUM
fumecheng-12165	354	2	.	.	NOUN
fumecheng-12165	355	1	21	21	NUM
fumecheng-12165	355	2	.	.	PUNCT
fumecheng-12165	356	1	koutsawa	koutsawa	PROPN
fumecheng-12165	356	2	,	,	PUNCT
fumecheng-12165	356	3	y.	y.	PROPN
fumecheng-12165	356	4	,	,	PUNCT
fumecheng-12165	356	5	charpentier	charpentier	PROPN
fumecheng-12165	356	6	,	,	PUNCT
fumecheng-12165	356	7	i.	i.	PROPN
fumecheng-12165	356	8	,	,	PUNCT
fumecheng-12165	356	9	daya	daya	PROPN
fumecheng-12165	356	10	,	,	PUNCT
fumecheng-12165	356	11	e.m	e.m	PROPN
fumecheng-12165	356	12	.	.	PROPN
fumecheng-12165	356	13	,	,	PUNCT
fumecheng-12165	356	14	cherkaoui	cherkaoui	PROPN
fumecheng-12165	356	15	,	,	PUNCT
fumecheng-12165	356	16	m.	m.	NOUN
fumecheng-12165	356	17	,	,	PUNCT
fumecheng-12165	356	18	2008	2008	NUM
fumecheng-12165	356	19	,	,	PUNCT
fumecheng-12165	356	20	a	a	DET
fumecheng-12165	356	21	generic	generic	ADJ
fumecheng-12165	356	22	approach	approach	NOUN
fumecheng-12165	356	23	for	for	ADP
fumecheng-12165	356	24	the	the	DET
fumecheng-12165	356	25	solution	solution	NOUN
fumecheng-12165	356	26	of	of	ADP
fumecheng-12165	356	27	nonlinear	nonlinear	ADJ
fumecheng-12165	356	28	residual	residual	ADJ
fumecheng-12165	356	29	equations	equation	NOUN
fumecheng-12165	356	30	part	part	VERB
fumecheng-12165	356	31	i	i	PRON
fumecheng-12165	356	32	:	:	PUNCT
fumecheng-12165	356	33	the	the	DET
fumecheng-12165	356	34	diamant	diamant	NOUN
fumecheng-12165	356	35	toolbox	toolbox	NOUN
fumecheng-12165	356	36	,	,	PUNCT
fumecheng-12165	356	37	computer	computer	NOUN
fumecheng-12165	356	38	methods	method	NOUN
fumecheng-12165	356	39	in	in	ADP
fumecheng-12165	356	40	applied	applied	ADJ
fumecheng-12165	356	41	mechanics	mechanic	NOUN
fumecheng-12165	356	42	and	and	CCONJ
fumecheng-12165	356	43	engineering	engineering	NOUN
fumecheng-12165	356	44	,	,	PUNCT
fumecheng-12165	356	45	198(3	198(3	NUM
fumecheng-12165	356	46	)	)	PUNCT
fumecheng-12165	356	47	,	,	PUNCT
fumecheng-12165	356	48	pp	pp	ADP
fumecheng-12165	356	49	.	.	PUNCT
fumecheng-12165	357	1	572–577	572–577	NUM
fumecheng-12165	357	2	.	.	PUNCT
fumecheng-12165	358	1	614	614	NUM
fumecheng-12165	358	2	y.	y.	PROPN
fumecheng-12165	358	3	elmoghazy	elmoghazy	PROPN
fumecheng-12165	358	4	,	,	PUNCT
fumecheng-12165	358	5	b.	b.	PROPN
fumecheng-12165	358	6	safaei	safaei	PROPN
fumecheng-12165	358	7	,	,	PUNCT
fumecheng-12165	358	8	s.	s.	PROPN
fumecheng-12165	358	9	sahmani	sahmani	PROPN
fumecheng-12165	358	10	22	22	NUM
fumecheng-12165	358	11	.	.	PUNCT
fumecheng-12165	359	1	lampoh	lampoh	PROPN
fumecheng-12165	359	2	,	,	PUNCT
fumecheng-12165	359	3	k.	k.	PROPN
fumecheng-12165	359	4	,	,	PUNCT
fumecheng-12165	359	5	charpentier	charpentier	PROPN
fumecheng-12165	359	6	,	,	PUNCT
fumecheng-12165	359	7	i.	i.	PROPN
fumecheng-12165	359	8	,	,	PUNCT
fumecheng-12165	359	9	daya	daya	PROPN
fumecheng-12165	359	10	,	,	PUNCT
fumecheng-12165	359	11	e.m	e.m	PROPN
fumecheng-12165	359	12	.	.	PROPN
fumecheng-12165	359	13	,	,	PUNCT
fumecheng-12165	359	14	2011	2011	NUM
fumecheng-12165	359	15	,	,	PUNCT
fumecheng-12165	359	16	a	a	DET
fumecheng-12165	359	17	generic	generic	ADJ
fumecheng-12165	359	18	approach	approach	NOUN
fumecheng-12165	359	19	for	for	ADP
fumecheng-12165	359	20	the	the	DET
fumecheng-12165	359	21	solution	solution	NOUN
fumecheng-12165	359	22	of	of	ADP
fumecheng-12165	359	23	nonlinear	nonlinear	ADJ
fumecheng-12165	359	24	residual	residual	ADJ
fumecheng-12165	359	25	equations	equation	NOUN
fumecheng-12165	359	26	.	.	PUNCT
fumecheng-12165	360	1	part	part	NOUN
fumecheng-12165	360	2	iii	iii	NOUN
fumecheng-12165	360	3	:	:	PUNCT
fumecheng-12165	360	4	sensitivity	sensitivity	NOUN
fumecheng-12165	360	5	computations	computation	NOUN
fumecheng-12165	360	6	,	,	PUNCT
fumecheng-12165	360	7	computer	computer	NOUN
fumecheng-12165	360	8	methods	method	NOUN
fumecheng-12165	360	9	in	in	ADP
fumecheng-12165	360	10	applied	applied	ADJ
fumecheng-12165	360	11	mechanics	mechanic	NOUN
fumecheng-12165	360	12	and	and	CCONJ
fumecheng-12165	360	13	engineering	engineering	NOUN
fumecheng-12165	360	14	200(45	200(45	NUM
fumecheng-12165	360	15	-	-	SYM
fumecheng-12165	360	16	46	46	NUM
fumecheng-12165	360	17	)	)	PUNCT
fumecheng-12165	360	18	,	,	PUNCT
fumecheng-12165	360	19	pp	pp	ADP
fumecheng-12165	360	20	.	.	PUNCT
fumecheng-12165	361	1	2983–2990	2983–2990	NUM
fumecheng-12165	361	2	.	.	NOUN
fumecheng-12165	362	1	23	23	NUM
fumecheng-12165	362	2	.	.	PUNCT
fumecheng-12165	363	1	loghman	loghman	PROPN
fumecheng-12165	363	2	,	,	PUNCT
fumecheng-12165	363	3	e.	e.	PROPN
fumecheng-12165	363	4	,	,	PUNCT
fumecheng-12165	363	5	bakhtiari	bakhtiari	PROPN
fumecheng-12165	363	6	-	-	PUNCT
fumecheng-12165	363	7	nejad	nejad	PROPN
fumecheng-12165	363	8	,	,	PUNCT
fumecheng-12165	363	9	f.	f.	PROPN
fumecheng-12165	363	10	,	,	PUNCT
fumecheng-12165	363	11	kamali	kamali	PROPN
fumecheng-12165	363	12	,	,	PUNCT
fumecheng-12165	363	13	e.a	e.a	PROPN
fumecheng-12165	363	14	.	.	PROPN
fumecheng-12165	363	15	,	,	PUNCT
fumecheng-12165	363	16	abbaszadeh	abbaszadeh	PROPN
fumecheng-12165	363	17	,	,	PUNCT
fumecheng-12165	363	18	m.	m.	NOUN
fumecheng-12165	363	19	,	,	PUNCT
fumecheng-12165	363	20	amabili	amabili	NOUN
fumecheng-12165	363	21	,	,	PUNCT
fumecheng-12165	363	22	m.	m.	NOUN
fumecheng-12165	363	23	,	,	PUNCT
fumecheng-12165	363	24	2021	2021	NUM
fumecheng-12165	363	25	,	,	PUNCT
fumecheng-12165	363	26	nonlinear	nonlinear	ADJ
fumecheng-12165	363	27	vibration	vibration	NOUN
fumecheng-12165	363	28	of	of	ADP
fumecheng-12165	363	29	fractional	fractional	ADJ
fumecheng-12165	363	30	viscoelastic	viscoelastic	PROPN
fumecheng-12165	363	31	micro	micro	NOUN
fumecheng-12165	363	32	-	-	NOUN
fumecheng-12165	363	33	beams	beam	NOUN
fumecheng-12165	363	34	,	,	PUNCT
fumecheng-12165	363	35	international	international	ADJ
fumecheng-12165	363	36	journal	journal	NOUN
fumecheng-12165	363	37	of	of	ADP
fumecheng-12165	363	38	non	non	ADJ
fumecheng-12165	363	39	-	-	ADJ
fumecheng-12165	363	40	linear	linear	ADJ
fumecheng-12165	363	41	mechanics	mechanic	NOUN
fumecheng-12165	363	42	,	,	PUNCT
fumecheng-12165	363	43	137	137	NUM
fumecheng-12165	363	44	,	,	PUNCT
fumecheng-12165	363	45	103811	103811	NUM
fumecheng-12165	363	46	.	.	PUNCT
fumecheng-12165	364	1	24	24	NUM
fumecheng-12165	364	2	.	.	PUNCT
fumecheng-12165	365	1	li	li	PROPN
fumecheng-12165	365	2	,	,	PUNCT
fumecheng-12165	365	3	h.	h.	PROPN
fumecheng-12165	365	4	,	,	PUNCT
fumecheng-12165	365	5	li	li	PROPN
fumecheng-12165	365	6	,	,	PUNCT
fumecheng-12165	365	7	z.	z.	PROPN
fumecheng-12165	365	8	,	,	PUNCT
fumecheng-12165	365	9	safaei	safaei	PROPN
fumecheng-12165	365	10	,	,	PUNCT
fumecheng-12165	365	11	b.	b.	PROPN
fumecheng-12165	365	12	,	,	PUNCT
fumecheng-12165	365	13	rong	rong	PROPN
fumecheng-12165	365	14	,	,	PUNCT
fumecheng-12165	365	15	w.	w.	PROPN
fumecheng-12165	365	16	,	,	PUNCT
fumecheng-12165	365	17	wang	wang	PROPN
fumecheng-12165	365	18	,	,	PUNCT
fumecheng-12165	365	19	w.	w.	PROPN
fumecheng-12165	365	20	,	,	PUNCT
fumecheng-12165	365	21	qin	qin	PROPN
fumecheng-12165	365	22	,	,	PUNCT
fumecheng-12165	365	23	z.	z.	PROPN
fumecheng-12165	365	24	,	,	PUNCT
fumecheng-12165	365	25	xiong	xiong	PROPN
fumecheng-12165	365	26	,	,	PUNCT
fumecheng-12165	365	27	z.	z.	PROPN
fumecheng-12165	365	28	,	,	PUNCT
fumecheng-12165	365	29	2021	2021	NUM
fumecheng-12165	365	30	,	,	PUNCT
fumecheng-12165	365	31	nonlinear	nonlinear	ADJ
fumecheng-12165	365	32	vibration	vibration	NOUN
fumecheng-12165	365	33	analysis	analysis	NOUN
fumecheng-12165	365	34	of	of	ADP
fumecheng-12165	365	35	fiber	fiber	NOUN
fumecheng-12165	365	36	metal	metal	NOUN
fumecheng-12165	365	37	laminated	laminate	VERB
fumecheng-12165	365	38	plates	plate	NOUN
fumecheng-12165	365	39	with	with	ADP
fumecheng-12165	365	40	multiple	multiple	ADJ
fumecheng-12165	365	41	viscoelastic	viscoelastic	ADJ
fumecheng-12165	365	42	layers	layer	NOUN
fumecheng-12165	365	43	,	,	PUNCT
fumecheng-12165	365	44	thin	thin	ADJ
fumecheng-12165	365	45	-	-	PUNCT
fumecheng-12165	365	46	walled	walled	ADJ
fumecheng-12165	365	47	structures,168	structures,168	NOUN
fumecheng-12165	365	48	,	,	PUNCT
fumecheng-12165	365	49	108297	108297	NUM
fumecheng-12165	365	50	.	.	PUNCT
fumecheng-12165	366	1	25	25	NUM
fumecheng-12165	366	2	.	.	PUNCT
fumecheng-12165	366	3	rahmani	rahmani	PROPN
fumecheng-12165	366	4	,	,	PUNCT
fumecheng-12165	366	5	a.	a.	NOUN
fumecheng-12165	366	6	,	,	PUNCT
fumecheng-12165	366	7	safaei	safaei	NOUN
fumecheng-12165	366	8	,	,	PUNCT
fumecheng-12165	366	9	b.	b.	PROPN
fumecheng-12165	366	10	,	,	PUNCT
fumecheng-12165	366	11	qin	qin	PROPN
fumecheng-12165	366	12	,	,	PUNCT
fumecheng-12165	366	13	z.	z.	PROPN
fumecheng-12165	366	14	,	,	PUNCT
fumecheng-12165	366	15	2022	2022	NUM
fumecheng-12165	366	16	,	,	PUNCT
fumecheng-12165	366	17	on	on	ADP
fumecheng-12165	366	18	wave	wave	NOUN
fumecheng-12165	366	19	propagation	propagation	NOUN
fumecheng-12165	366	20	of	of	ADP
fumecheng-12165	366	21	rotating	rotate	VERB
fumecheng-12165	366	22	viscoelastic	viscoelastic	ADJ
fumecheng-12165	366	23	nanobeams	nanobeam	NOUN
fumecheng-12165	366	24	with	with	ADP
fumecheng-12165	366	25	temperature	temperature	NOUN
fumecheng-12165	366	26	effects	effect	NOUN
fumecheng-12165	366	27	by	by	ADP
fumecheng-12165	366	28	using	use	VERB
fumecheng-12165	366	29	modified	modify	VERB
fumecheng-12165	366	30	couple	couple	NOUN
fumecheng-12165	366	31	stress	stress	NOUN
fumecheng-12165	366	32	-	-	PUNCT
fumecheng-12165	366	33	based	base	VERB
fumecheng-12165	366	34	nonlocal	nonlocal	ADJ
fumecheng-12165	366	35	eringen	eringen	PROPN
fumecheng-12165	366	36	’s	’s	PART
fumecheng-12165	366	37	theory	theory	NOUN
fumecheng-12165	366	38	,	,	PUNCT
fumecheng-12165	366	39	engineering	engineering	NOUN
fumecheng-12165	366	40	with	with	ADP
fumecheng-12165	366	41	computers	computer	NOUN
fumecheng-12165	366	42	,	,	PUNCT
fumecheng-12165	366	43	38(4	38(4	NUM
fumecheng-12165	366	44	)	)	PUNCT
fumecheng-12165	366	45	,	,	PUNCT
fumecheng-12165	366	46	pp	pp	ADP
fumecheng-12165	366	47	.	.	PUNCT
fumecheng-12165	367	1	2681–2701	2681–2701	NUM
fumecheng-12165	367	2	.	.	X
fumecheng-12165	368	1	26	26	NUM
fumecheng-12165	368	2	.	.	PUNCT
fumecheng-12165	368	3	yuan	yuan	NOUN
fumecheng-12165	368	4	,	,	PUNCT
fumecheng-12165	368	5	y.	y.	PROPN
fumecheng-12165	368	6	,	,	PUNCT
fumecheng-12165	368	7	zhao	zhao	PROPN
fumecheng-12165	368	8	,	,	PUNCT
fumecheng-12165	368	9	x.	x.	PROPN
fumecheng-12165	368	10	,	,	PUNCT
fumecheng-12165	368	11	zhao	zhao	PROPN
fumecheng-12165	368	12	,	,	PUNCT
fumecheng-12165	368	13	y.	y.	PROPN
fumecheng-12165	368	14	,	,	PUNCT
fumecheng-12165	368	15	sahmani	sahmani	NOUN
fumecheng-12165	368	16	,	,	PUNCT
fumecheng-12165	368	17	s.	s.	PROPN
fumecheng-12165	368	18	,	,	PUNCT
fumecheng-12165	368	19	safaei	safaei	PROPN
fumecheng-12165	368	20	,	,	PUNCT
fumecheng-12165	368	21	b.	b.	NOUN
fumecheng-12165	368	22	,	,	PUNCT
fumecheng-12165	368	23	2021	2021	NUM
fumecheng-12165	368	24	,	,	PUNCT
fumecheng-12165	368	25	dynamic	dynamic	ADJ
fumecheng-12165	368	26	stability	stability	NOUN
fumecheng-12165	368	27	of	of	ADP
fumecheng-12165	368	28	nonlocal	nonlocal	ADJ
fumecheng-12165	368	29	strain	strain	NOUN
fumecheng-12165	368	30	gradient	gradient	PROPN
fumecheng-12165	368	31	fgm	fgm	PROPN
fumecheng-12165	368	32	truncated	truncate	VERB
fumecheng-12165	368	33	conical	conical	NOUN
fumecheng-12165	368	34	microshells	microshell	NOUN
fumecheng-12165	368	35	integrated	integrate	VERB
fumecheng-12165	368	36	with	with	ADP
fumecheng-12165	368	37	magnetostrictive	magnetostrictive	ADJ
fumecheng-12165	368	38	facesheets	facesheet	NOUN
fumecheng-12165	368	39	resting	rest	VERB
fumecheng-12165	368	40	on	on	ADP
fumecheng-12165	368	41	a	a	DET
fumecheng-12165	368	42	nonlinear	nonlinear	ADJ
fumecheng-12165	368	43	viscoelastic	viscoelastic	PROPN
fumecheng-12165	368	44	foundation	foundation	PROPN
fumecheng-12165	368	45	,	,	PUNCT
fumecheng-12165	368	46	thin	thin	ADJ
fumecheng-12165	368	47	-	-	PUNCT
fumecheng-12165	368	48	walled	walled	ADJ
fumecheng-12165	368	49	structures	structure	NOUN
fumecheng-12165	368	50	,	,	PUNCT
fumecheng-12165	368	51	159	159	NUM
fumecheng-12165	368	52	,	,	PUNCT
fumecheng-12165	368	53	107249	107249	NUM
fumecheng-12165	368	54	.	.	PUNCT
fumecheng-12165	369	1	27	27	NUM
fumecheng-12165	369	2	.	.	PUNCT
fumecheng-12165	369	3	jalaei	jalaei	NOUN
fumecheng-12165	369	4	,	,	PUNCT
fumecheng-12165	369	5	m.h	m.h	PROPN
fumecheng-12165	369	6	.	.	PROPN
fumecheng-12165	369	7	,	,	PUNCT
fumecheng-12165	369	8	thai	thai	PROPN
fumecheng-12165	369	9	,	,	PUNCT
fumecheng-12165	369	10	h.t	h.t	PROPN
fumecheng-12165	369	11	.	.	PROPN
fumecheng-12165	369	12	,	,	PUNCT
fumecheng-12165	369	13	civalek	civalek	NOUN
fumecheng-12165	369	14	,	,	PUNCT
fumecheng-12165	369	15	2022	2022	NUM
fumecheng-12165	369	16	,	,	PUNCT
fumecheng-12165	369	17	on	on	ADP
fumecheng-12165	369	18	viscoelastic	viscoelastic	ADJ
fumecheng-12165	369	19	transient	transient	ADJ
fumecheng-12165	369	20	response	response	NOUN
fumecheng-12165	369	21	of	of	ADP
fumecheng-12165	369	22	magnetically	magnetically	ADV
fumecheng-12165	369	23	imperfect	imperfect	ADJ
fumecheng-12165	369	24	functionally	functionally	ADV
fumecheng-12165	369	25	graded	grade	VERB
fumecheng-12165	369	26	nanobeams	nanobeam	NOUN
fumecheng-12165	369	27	,	,	PUNCT
fumecheng-12165	369	28	international	international	ADJ
fumecheng-12165	369	29	journal	journal	NOUN
fumecheng-12165	369	30	of	of	ADP
fumecheng-12165	369	31	engineering	engineering	NOUN
fumecheng-12165	369	32	science	science	NOUN
fumecheng-12165	369	33	,	,	PUNCT
fumecheng-12165	369	34	172	172	NUM
fumecheng-12165	369	35	,	,	PUNCT
fumecheng-12165	369	36	103629	103629	NUM
fumecheng-12165	369	37	.	.	PUNCT
fumecheng-12165	370	1	28	28	NUM
fumecheng-12165	370	2	.	.	PUNCT
fumecheng-12165	371	1	youzera	youzera	PROPN
fumecheng-12165	371	2	,	,	PUNCT
fumecheng-12165	371	3	h.	h.	PROPN
fumecheng-12165	371	4	,	,	PUNCT
fumecheng-12165	371	5	selim	selim	PROPN
fumecheng-12165	371	6	saleh	saleh	PROPN
fumecheng-12165	371	7	,	,	PUNCT
fumecheng-12165	371	8	m.m	m.m	PROPN
fumecheng-12165	371	9	.	.	PROPN
fumecheng-12165	371	10	,	,	PUNCT
fumecheng-12165	371	11	ghazwani	ghazwani	ADJ
fumecheng-12165	371	12	,	,	PUNCT
fumecheng-12165	371	13	m.h	m.h	PROPN
fumecheng-12165	371	14	.	.	PROPN
fumecheng-12165	371	15	,	,	PUNCT
fumecheng-12165	371	16	meftah	meftah	PROPN
fumecheng-12165	371	17	,	,	PUNCT
fumecheng-12165	371	18	s.a	s.a	PROPN
fumecheng-12165	371	19	.	.	PROPN
fumecheng-12165	371	20	,	,	PUNCT
fumecheng-12165	371	21	tounsi	tounsi	PROPN
fumecheng-12165	371	22	,	,	PUNCT
fumecheng-12165	371	23	a.	a.	NOUN
fumecheng-12165	371	24	,	,	PUNCT
fumecheng-12165	371	25	cuong	cuong	PROPN
fumecheng-12165	371	26	-	-	PUNCT
fumecheng-12165	371	27	le	le	PROPN
fumecheng-12165	371	28	,	,	PUNCT
fumecheng-12165	371	29	t.	t.	PROPN
fumecheng-12165	371	30	,	,	PUNCT
fumecheng-12165	371	31	2023	2023	NUM
fumecheng-12165	371	32	,	,	PUNCT
fumecheng-12165	371	33	nonlinear	nonlinear	ADJ
fumecheng-12165	371	34	damping	damp	VERB
fumecheng-12165	371	35	and	and	CCONJ
fumecheng-12165	371	36	forced	force	VERB
fumecheng-12165	371	37	vibration	vibration	NOUN
fumecheng-12165	371	38	analysis	analysis	NOUN
fumecheng-12165	371	39	of	of	ADP
fumecheng-12165	371	40	sandwich	sandwich	NOUN
fumecheng-12165	371	41	functionally	functionally	ADV
fumecheng-12165	371	42	graded	grade	VERB
fumecheng-12165	371	43	material	material	NOUN
fumecheng-12165	371	44	beams	beam	NOUN
fumecheng-12165	371	45	with	with	ADP
fumecheng-12165	371	46	composite	composite	ADJ
fumecheng-12165	371	47	viscoelastic	viscoelastic	NOUN
fumecheng-12165	371	48	core	core	NOUN
fumecheng-12165	371	49	layer	layer	NOUN
fumecheng-12165	371	50	,	,	PUNCT
fumecheng-12165	371	51	mechanics	mechanic	NOUN
fumecheng-12165	371	52	based	base	VERB
fumecheng-12165	371	53	design	design	NOUN
fumecheng-12165	371	54	of	of	ADP
fumecheng-12165	371	55	structures	structure	NOUN
fumecheng-12165	371	56	and	and	CCONJ
fumecheng-12165	371	57	machines	machine	NOUN
fumecheng-12165	371	58	,	,	PUNCT
fumecheng-12165	371	59	doi:10.1080/15397734.2023.2229911	doi:10.1080/15397734.2023.2229911	PROPN
fumecheng-12165	371	60	.	.	PROPN
fumecheng-12165	371	61	29	29	NUM
fumecheng-12165	371	62	.	.	PUNCT
fumecheng-12165	372	1	karmi	karmi	PROPN
fumecheng-12165	372	2	,	,	PUNCT
fumecheng-12165	372	3	y.	y.	PROPN
fumecheng-12165	372	4	,	,	PUNCT
fumecheng-12165	372	5	tekili	tekili	NOUN
fumecheng-12165	372	6	,	,	PUNCT
fumecheng-12165	372	7	s.	s.	PROPN
fumecheng-12165	372	8	,	,	PUNCT
fumecheng-12165	372	9	khadri	khadri	PROPN
fumecheng-12165	372	10	,	,	PUNCT
fumecheng-12165	372	11	y.	y.	PROPN
fumecheng-12165	372	12	,	,	PUNCT
fumecheng-12165	372	13	boumediri	boumediri	PROPN
fumecheng-12165	372	14	,	,	PUNCT
fumecheng-12165	372	15	h.	h.	PROPN
fumecheng-12165	372	16	,	,	PUNCT
fumecheng-12165	372	17	2023	2023	NUM
fumecheng-12165	372	18	,	,	PUNCT
fumecheng-12165	372	19	vibroacoustic	vibroacoustic	ADJ
fumecheng-12165	372	20	analysis	analysis	NOUN
fumecheng-12165	372	21	in	in	ADP
fumecheng-12165	372	22	the	the	DET
fumecheng-12165	372	23	thermal	thermal	ADJ
fumecheng-12165	372	24	environment	environment	NOUN
fumecheng-12165	372	25	of	of	ADP
fumecheng-12165	372	26	pcld	pcld	NOUN
fumecheng-12165	372	27	sandwich	sandwich	NOUN
fumecheng-12165	372	28	beams	beam	NOUN
fumecheng-12165	372	29	with	with	ADP
fumecheng-12165	372	30	frequency	frequency	NOUN
fumecheng-12165	372	31	and	and	CCONJ
fumecheng-12165	372	32	temperature	temperature	NOUN
fumecheng-12165	372	33	dependent	dependent	ADJ
fumecheng-12165	372	34	viscoelastic	viscoelastic	NOUN
fumecheng-12165	372	35	cores	core	NOUN
fumecheng-12165	372	36	,	,	PUNCT
fumecheng-12165	372	37	journal	journal	NOUN
fumecheng-12165	372	38	of	of	ADP
fumecheng-12165	372	39	vibration	vibration	NOUN
fumecheng-12165	372	40	engineering	engineering	NOUN
fumecheng-12165	372	41	&	&	CCONJ
fumecheng-12165	372	42	technologies	technology	NOUN
fumecheng-12165	372	43	,	,	PUNCT
fumecheng-12165	372	44	doi:10.1007	doi:10.1007	NOUN
fumecheng-12165	372	45	/	/	SYM
fumecheng-12165	372	46	s42417	s42417	PROPN
fumecheng-12165	372	47	-	-	PUNCT
fumecheng-12165	372	48	023	023	NUM
fumecheng-12165	372	49	-	-	PUNCT
fumecheng-12165	372	50	01065	01065	NUM
fumecheng-12165	372	51	-	-	PUNCT
fumecheng-12165	372	52	6	6	NUM
fumecheng-12165	372	53	.	.	NOUN
fumecheng-12165	372	54	30	30	NUM
fumecheng-12165	372	55	.	.	PUNCT
fumecheng-12165	373	1	chen	chen	PROPN
fumecheng-12165	373	2	,	,	PUNCT
fumecheng-12165	373	3	q.	q.	PROPN
fumecheng-12165	373	4	,	,	PUNCT
fumecheng-12165	373	5	chan	chan	PROPN
fumecheng-12165	373	6	y.w	y.w	PROPN
fumecheng-12165	373	7	.	.	PROPN
fumecheng-12165	373	8	,	,	PUNCT
fumecheng-12165	373	9	2000	2000	NUM
fumecheng-12165	373	10	,	,	PUNCT
fumecheng-12165	373	11	integral	integral	ADJ
fumecheng-12165	373	12	finite	finite	ADJ
fumecheng-12165	373	13	element	element	NOUN
fumecheng-12165	373	14	method	method	NOUN
fumecheng-12165	373	15	for	for	ADP
fumecheng-12165	373	16	dynamical	dynamical	ADJ
fumecheng-12165	373	17	analysis	analysis	NOUN
fumecheng-12165	373	18	of	of	ADP
fumecheng-12165	373	19	elastic	elastic	ADJ
fumecheng-12165	373	20	–	–	PUNCT
fumecheng-12165	373	21	viscoelastic	viscoelastic	ADJ
fumecheng-12165	373	22	composite	composite	ADJ
fumecheng-12165	373	23	structures	structure	NOUN
fumecheng-12165	373	24	,	,	PUNCT
fumecheng-12165	373	25	computers	computer	NOUN
fumecheng-12165	373	26	&	&	CCONJ
fumecheng-12165	373	27	structures	structure	NOUN
fumecheng-12165	373	28	,	,	PUNCT
fumecheng-12165	373	29	74(1	74(1	NOUN
fumecheng-12165	373	30	)	)	PUNCT
fumecheng-12165	373	31	,	,	PUNCT
fumecheng-12165	373	32	pp	pp	PROPN
fumecheng-12165	373	33	.	.	PUNCT
fumecheng-12165	374	1	51–64	51–64	NUM
fumecheng-12165	374	2	.	.	PUNCT
fumecheng-12165	375	1	31	31	NUM
fumecheng-12165	375	2	.	.	PUNCT
fumecheng-12165	376	1	baber	baber	PROPN
fumecheng-12165	376	2	,	,	PUNCT
fumecheng-12165	376	3	t.t	t.t	PROPN
fumecheng-12165	376	4	.	.	PROPN
fumecheng-12165	376	5	,	,	PUNCT
fumecheng-12165	376	6	maddox	maddox	PROPN
fumecheng-12165	376	7	,	,	PUNCT
fumecheng-12165	376	8	r.a	r.a	PROPN
fumecheng-12165	376	9	.	.	PROPN
fumecheng-12165	376	10	,	,	PUNCT
fumecheng-12165	376	11	orozco	orozco	PROPN
fumecheng-12165	376	12	,	,	PUNCT
fumecheng-12165	376	13	c.e	c.e	PROPN
fumecheng-12165	376	14	.	.	PROPN
fumecheng-12165	376	15	,	,	PUNCT
fumecheng-12165	376	16	1998	1998	NUM
fumecheng-12165	376	17	,	,	PUNCT
fumecheng-12165	376	18	a	a	DET
fumecheng-12165	376	19	finite	finite	ADJ
fumecheng-12165	376	20	element	element	NOUN
fumecheng-12165	376	21	model	model	NOUN
fumecheng-12165	376	22	for	for	ADP
fumecheng-12165	376	23	harmonically	harmonically	ADV
fumecheng-12165	376	24	excited	excite	VERB
fumecheng-12165	376	25	viscoelastic	viscoelastic	ADJ
fumecheng-12165	376	26	sandwich	sandwich	NOUN
fumecheng-12165	376	27	beams	beam	NOUN
fumecheng-12165	376	28	,	,	PUNCT
fumecheng-12165	376	29	computers	computer	NOUN
fumecheng-12165	376	30	&	&	CCONJ
fumecheng-12165	376	31	structures	structure	NOUN
fumecheng-12165	376	32	;	;	PUNCT
fumecheng-12165	376	33	66(1	66(1	X
fumecheng-12165	376	34	)	)	PUNCT
fumecheng-12165	376	35	,	,	PUNCT
fumecheng-12165	376	36	pp	pp	ADP
fumecheng-12165	376	37	.	.	PUNCT
fumecheng-12165	377	1	105–113	105–113	NUM
fumecheng-12165	377	2	.	.	PUNCT
fumecheng-12165	378	1	32	32	NUM
fumecheng-12165	378	2	.	.	PUNCT
fumecheng-12165	379	1	huang	huang	PROPN
fumecheng-12165	379	2	,	,	PUNCT
fumecheng-12165	379	3	z.	z.	PROPN
fumecheng-12165	379	4	,	,	PUNCT
fumecheng-12165	379	5	qin	qin	PROPN
fumecheng-12165	379	6	,	,	PUNCT
fumecheng-12165	379	7	z.	z.	PROPN
fumecheng-12165	379	8	,	,	PUNCT
fumecheng-12165	379	9	chu	chu	PROPN
fumecheng-12165	379	10	,	,	PUNCT
fumecheng-12165	379	11	f.	f.	PROPN
fumecheng-12165	379	12	,	,	PUNCT
fumecheng-12165	379	13	2016	2016	NUM
fumecheng-12165	379	14	,	,	PUNCT
fumecheng-12165	379	15	damping	damp	VERB
fumecheng-12165	379	16	mechanism	mechanism	NOUN
fumecheng-12165	379	17	of	of	ADP
fumecheng-12165	379	18	elastic	elastic	ADJ
fumecheng-12165	379	19	-	-	PUNCT
fumecheng-12165	379	20	viscoelastic	viscoelastic	NOUN
fumecheng-12165	379	21	-	-	PUNCT
fumecheng-12165	379	22	elastic	elastic	ADJ
fumecheng-12165	379	23	sandwich	sandwich	NOUN
fumecheng-12165	379	24	structures	structure	NOUN
fumecheng-12165	379	25	,	,	PUNCT
fumecheng-12165	379	26	composite	composite	ADJ
fumecheng-12165	379	27	structures	structure	NOUN
fumecheng-12165	379	28	,	,	PUNCT
fumecheng-12165	379	29	153	153	NUM
fumecheng-12165	379	30	,	,	PUNCT
fumecheng-12165	379	31	pp	pp	ADJ
fumecheng-12165	379	32	.	.	PUNCT
fumecheng-12165	380	1	96–107	96–107	NUM
fumecheng-12165	380	2	.	.	PUNCT
fumecheng-12165	381	1	33	33	NUM
fumecheng-12165	381	2	.	.	PUNCT
fumecheng-12165	382	1	daya	daya	PROPN
fumecheng-12165	382	2	,	,	PUNCT
fumecheng-12165	382	3	e.m	e.m	PROPN
fumecheng-12165	382	4	.	.	PROPN
fumecheng-12165	382	5	,	,	PUNCT
fumecheng-12165	382	6	potier	potier	NOUN
fumecheng-12165	382	7	-	-	PUNCT
fumecheng-12165	382	8	ferry	ferry	NOUN
fumecheng-12165	382	9	m.	m.	NOUN
fumecheng-12165	382	10	,	,	PUNCT
fumecheng-12165	382	11	2001	2001	NUM
fumecheng-12165	382	12	,	,	PUNCT
fumecheng-12165	382	13	numerical	numerical	ADJ
fumecheng-12165	382	14	method	method	NOUN
fumecheng-12165	382	15	for	for	ADP
fumecheng-12165	382	16	nonlinear	nonlinear	ADJ
fumecheng-12165	382	17	eigenvalue	eigenvalue	NOUN
fumecheng-12165	382	18	problems	problem	NOUN
fumecheng-12165	382	19	application	application	NOUN
fumecheng-12165	382	20	to	to	ADP
fumecheng-12165	382	21	vibrations	vibration	NOUN
fumecheng-12165	382	22	of	of	ADP
fumecheng-12165	382	23	viscoelastic	viscoelastic	ADJ
fumecheng-12165	382	24	structures	structure	NOUN
fumecheng-12165	382	25	,	,	PUNCT
fumecheng-12165	382	26	computers	computer	NOUN
fumecheng-12165	382	27	and	and	CCONJ
fumecheng-12165	382	28	structures	structure	NOUN
fumecheng-12165	382	29	,	,	PUNCT
fumecheng-12165	382	30	79(5	79(5	NOUN
fumecheng-12165	382	31	)	)	PUNCT
fumecheng-12165	382	32	,	,	PUNCT
fumecheng-12165	382	33	pp	pp	ADP
fumecheng-12165	382	34	.	.	PUNCT
fumecheng-12165	383	1	533–541	533–541	NUM
fumecheng-12165	383	2	.	.	PUNCT
fumecheng-12165	384	1	34	34	NUM
fumecheng-12165	384	2	.	.	PUNCT
fumecheng-12165	384	3	soni	soni	PROPN
fumecheng-12165	384	4	,	,	PUNCT
fumecheng-12165	384	5	m.l	m.l	PROPN
fumecheng-12165	384	6	.	.	PROPN
fumecheng-12165	384	7	,	,	PUNCT
fumecheng-12165	384	8	bogner	bogner	PROPN
fumecheng-12165	384	9	,	,	PUNCT
fumecheng-12165	384	10	f.k	f.k	PROPN
fumecheng-12165	384	11	.	.	PROPN
fumecheng-12165	384	12	,	,	PUNCT
fumecheng-12165	384	13	1982	1982	NUM
fumecheng-12165	384	14	,	,	PUNCT
fumecheng-12165	384	15	finite	finite	ADJ
fumecheng-12165	384	16	element	element	NOUN
fumecheng-12165	384	17	vibration	vibration	NOUN
fumecheng-12165	384	18	analysis	analysis	NOUN
fumecheng-12165	384	19	of	of	ADP
fumecheng-12165	384	20	damped	damped	NOUN
fumecheng-12165	384	21	structures	structure	NOUN
fumecheng-12165	384	22	,	,	PUNCT
fumecheng-12165	384	23	aiaa	aiaa	PROPN
fumecheng-12165	384	24	journal	journal	PROPN
fumecheng-12165	384	25	20(5	20(5	PROPN
fumecheng-12165	384	26	)	)	PUNCT
fumecheng-12165	384	27	,	,	PUNCT
fumecheng-12165	384	28	pp	pp	ADP
fumecheng-12165	384	29	.	.	PUNCT
fumecheng-12165	385	1	700–707	700–707	NUM
fumecheng-12165	385	2	.	.	PUNCT
fumecheng-12165	386	1	35	35	NUM
fumecheng-12165	386	2	.	.	PUNCT
fumecheng-12165	387	1	abdoun	abdoun	PROPN
fumecheng-12165	387	2	,	,	PUNCT
fumecheng-12165	387	3	f.	f.	PROPN
fumecheng-12165	387	4	,	,	PUNCT
fumecheng-12165	387	5	azrar	azrar	NOUN
fumecheng-12165	387	6	,	,	PUNCT
fumecheng-12165	387	7	l.	l.	PROPN
fumecheng-12165	387	8	,	,	PUNCT
fumecheng-12165	387	9	daya	daya	PROPN
fumecheng-12165	387	10	,	,	PUNCT
fumecheng-12165	387	11	e.m	e.m	PROPN
fumecheng-12165	387	12	.	.	PROPN
fumecheng-12165	387	13	,	,	PUNCT
fumecheng-12165	387	14	potier	potier	NOUN
fumecheng-12165	387	15	-	-	PUNCT
fumecheng-12165	387	16	ferry	ferry	NOUN
fumecheng-12165	387	17	,	,	PUNCT
fumecheng-12165	387	18	m.	m.	NOUN
fumecheng-12165	387	19	,	,	PUNCT
fumecheng-12165	387	20	2008	2008	NUM
fumecheng-12165	387	21	,	,	PUNCT
fumecheng-12165	387	22	forced	force	VERB
fumecheng-12165	387	23	harmonic	harmonic	ADJ
fumecheng-12165	387	24	response	response	NOUN
fumecheng-12165	387	25	of	of	ADP
fumecheng-12165	387	26	viscoelastic	viscoelastic	ADJ
fumecheng-12165	387	27	structures	structure	NOUN
fumecheng-12165	387	28	by	by	ADP
fumecheng-12165	387	29	an	an	DET
fumecheng-12165	387	30	asymptotic	asymptotic	ADJ
fumecheng-12165	387	31	numerical	numerical	ADJ
fumecheng-12165	387	32	method	method	NOUN
fumecheng-12165	387	33	,	,	PUNCT
fumecheng-12165	387	34	computers	computer	NOUN
fumecheng-12165	387	35	&	&	CCONJ
fumecheng-12165	387	36	structures	structure	NOUN
fumecheng-12165	387	37	,	,	PUNCT
fumecheng-12165	387	38	87(1	87(1	NOUN
fumecheng-12165	387	39	-	-	SYM
fumecheng-12165	387	40	2	2	NUM
fumecheng-12165	387	41	)	)	PUNCT
fumecheng-12165	387	42	,	,	PUNCT
fumecheng-12165	387	43	pp	pp	PROPN
fumecheng-12165	387	44	.	.	PUNCT
fumecheng-12165	388	1	91	91	NUM
fumecheng-12165	388	2	-	-	SYM
fumecheng-12165	388	3	100	100	NUM
fumecheng-12165	388	4	.	.	PUNCT
fumecheng-12165	389	1	36	36	NUM
fumecheng-12165	389	2	.	.	PUNCT
fumecheng-12165	390	1	bilasse	bilasse	PROPN
fumecheng-12165	390	2	,	,	PUNCT
fumecheng-12165	390	3	m.	m.	NOUN
fumecheng-12165	390	4	,	,	PUNCT
fumecheng-12165	390	5	daya	daya	PROPN
fumecheng-12165	390	6	,	,	PUNCT
fumecheng-12165	390	7	e.m	e.m	PROPN
fumecheng-12165	390	8	.	.	PROPN
fumecheng-12165	390	9	,	,	PUNCT
fumecheng-12165	390	10	azrar	azrar	NOUN
fumecheng-12165	390	11	,	,	PUNCT
fumecheng-12165	390	12	l.	l.	PROPN
fumecheng-12165	390	13	,	,	PUNCT
fumecheng-12165	390	14	2010	2010	NUM
fumecheng-12165	390	15	,	,	PUNCT
fumecheng-12165	390	16	linear	linear	ADJ
fumecheng-12165	390	17	and	and	CCONJ
fumecheng-12165	390	18	nonlinear	nonlinear	ADJ
fumecheng-12165	390	19	vibrations	vibration	NOUN
fumecheng-12165	390	20	analysis	analysis	NOUN
fumecheng-12165	390	21	of	of	ADP
fumecheng-12165	390	22	viscoelastic	viscoelastic	ADJ
fumecheng-12165	390	23	sandwich	sandwich	NOUN
fumecheng-12165	390	24	beams	beam	NOUN
fumecheng-12165	390	25	,	,	PUNCT
fumecheng-12165	390	26	journal	journal	NOUN
fumecheng-12165	390	27	of	of	ADP
fumecheng-12165	390	28	sound	sound	NOUN
fumecheng-12165	390	29	and	and	CCONJ
fumecheng-12165	390	30	vibration	vibration	NOUN
fumecheng-12165	390	31	,	,	PUNCT
fumecheng-12165	390	32	29(23	29(23	NOUN
fumecheng-12165	390	33	)	)	PUNCT
fumecheng-12165	390	34	,	,	PUNCT
fumecheng-12165	390	35	pp	pp	ADP
fumecheng-12165	390	36	.	.	PUNCT
fumecheng-12165	391	1	4950	4950	NUM
fumecheng-12165	391	2	-	-	SYM
fumecheng-12165	391	3	4969	4969	NUM
fumecheng-12165	391	4	.	.	PUNCT
fumecheng-12165	392	1	37	37	NUM
fumecheng-12165	392	2	.	.	X
fumecheng-12165	392	3	rao	rao	PROPN
fumecheng-12165	392	4	,	,	PUNCT
fumecheng-12165	392	5	d.k	d.k	PROPN
fumecheng-12165	392	6	.	.	PROPN
fumecheng-12165	392	7	,	,	PUNCT
fumecheng-12165	392	8	1978	1978	NUM
fumecheng-12165	392	9	,	,	PUNCT
fumecheng-12165	392	10	frequency	frequency	NOUN
fumecheng-12165	392	11	and	and	CCONJ
fumecheng-12165	392	12	loss	loss	NOUN
fumecheng-12165	392	13	factors	factor	NOUN
fumecheng-12165	392	14	of	of	ADP
fumecheng-12165	392	15	sandwich	sandwich	NOUN
fumecheng-12165	392	16	beams	beam	NOUN
fumecheng-12165	392	17	under	under	ADP
fumecheng-12165	392	18	various	various	ADJ
fumecheng-12165	392	19	boundary	boundary	ADJ
fumecheng-12165	392	20	conditions	condition	NOUN
fumecheng-12165	392	21	,	,	PUNCT
fumecheng-12165	392	22	journal	journal	NOUN
fumecheng-12165	392	23	of	of	ADP
fumecheng-12165	392	24	mechanical	mechanical	ADJ
fumecheng-12165	392	25	engineering	engineering	NOUN
fumecheng-12165	392	26	science	science	NOUN
fumecheng-12165	392	27	,	,	PUNCT
fumecheng-12165	392	28	20(2	20(2	NUM
fumecheng-12165	392	29	)	)	PUNCT
fumecheng-12165	392	30	,	,	PUNCT
fumecheng-12165	392	31	pp	pp	ADP
fumecheng-12165	392	32	.	.	PUNCT
fumecheng-12165	393	1	271–282	271–282	NUM
fumecheng-12165	393	2	.	.	PUNCT
fumecheng-12165	394	1	38	38	NUM
fumecheng-12165	394	2	.	.	PUNCT
fumecheng-12165	395	1	johnson	johnson	PROPN
fumecheng-12165	395	2	,	,	PUNCT
fumecheng-12165	395	3	c.	c.	PROPN
fumecheng-12165	395	4	,	,	PUNCT
fumecheng-12165	395	5	kienholz	kienholz	PROPN
fumecheng-12165	395	6	,	,	PUNCT
fumecheng-12165	395	7	d.	d.	PROPN
fumecheng-12165	395	8	,	,	PUNCT
fumecheng-12165	395	9	1982	1982	NUM
fumecheng-12165	395	10	,	,	PUNCT
fumecheng-12165	395	11	finite	finite	PROPN
fumecheng-12165	395	12	element	element	NOUN
fumecheng-12165	395	13	prediction	prediction	NOUN
fumecheng-12165	395	14	of	of	ADP
fumecheng-12165	395	15	damping	damp	VERB
fumecheng-12165	395	16	in	in	ADP
fumecheng-12165	395	17	structures	structure	NOUN
fumecheng-12165	395	18	with	with	ADP
fumecheng-12165	395	19	constrained	constrain	VERB
fumecheng-12165	395	20	viscoelastic	viscoelastic	ADJ
fumecheng-12165	395	21	layers	layer	NOUN
fumecheng-12165	395	22	,	,	PUNCT
fumecheng-12165	395	23	aiaa	aiaa	ADJ
fumecheng-12165	395	24	journal	journal	PROPN
fumecheng-12165	395	25	,	,	PUNCT
fumecheng-12165	395	26	20(9	20(9	NUM
fumecheng-12165	395	27	)	)	PUNCT
fumecheng-12165	395	28	,	,	PUNCT
fumecheng-12165	395	29	pp	pp	ADJ
fumecheng-12165	395	30	.	.	PUNCT
fumecheng-12165	395	31	1284–1290	1284–1290	NUM
fumecheng-12165	395	32	.	.	PUNCT