id	sid	tid	token	lemma	pos
app01-4642	1	1	acta	acta	PROPN
app01-4642	1	2	polytechnica	polytechnica	PROPN
app01-4642	1	3	ctu	ctu	PROPN
app01-4642	1	4	proceedings	proceeding	NOUN
app01-4642	1	5	doi:10.14311	doi:10.14311	PROPN
app01-4642	1	6	/	/	SYM
app01-4642	1	7	app.2017.13.0109	app.2017.13.0109	PROPN
app01-4642	1	8	acta	acta	PROPN
app01-4642	1	9	polytechnica	polytechnica	PROPN
app01-4642	1	10	ctu	ctu	NOUN
app01-4642	1	11	proceedings	proceeding	NOUN
app01-4642	1	12	13:109–114	13:109–114	NUM
app01-4642	1	13	,	,	PUNCT
app01-4642	1	14	2017	2017	NUM
app01-4642	1	15	©	©	PROPN
app01-4642	1	16	czech	czech	PROPN
app01-4642	1	17	technical	technical	PROPN
app01-4642	1	18	university	university	PROPN
app01-4642	1	19	in	in	ADP
app01-4642	1	20	prague	prague	PROPN
app01-4642	1	21	,	,	PUNCT
app01-4642	1	22	2017	2017	NUM
app01-4642	1	23	available	available	ADJ
app01-4642	1	24	online	online	ADV
app01-4642	1	25	at	at	ADP
app01-4642	1	26	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-4642	1	27	variationally	variationally	ADV
app01-4642	1	28	-	-	PUNCT
app01-4642	1	29	based	base	VERB
app01-4642	1	30	effective	effective	ADJ
app01-4642	1	31	dynamic	dynamic	ADJ
app01-4642	1	32	thickness	thickness	NOUN
app01-4642	1	33	for	for	ADP
app01-4642	1	34	laminated	laminated	ADJ
app01-4642	1	35	glass	glass	NOUN
app01-4642	1	36	beams	beam	NOUN
app01-4642	1	37	jaroslav	jaroslav	PROPN
app01-4642	1	38	schmidt∗	schmidt∗	PROPN
app01-4642	1	39	,	,	PUNCT
app01-4642	1	40	alena	alena	PROPN
app01-4642	1	41	zemanová	zemanová	PROPN
app01-4642	1	42	,	,	PUNCT
app01-4642	1	43	tomáš	tomáš	PROPN
app01-4642	1	44	janda	janda	PROPN
app01-4642	1	45	,	,	PUNCT
app01-4642	1	46	jan	jan	PROPN
app01-4642	1	47	zeman	zeman	PROPN
app01-4642	1	48	,	,	PUNCT
app01-4642	1	49	michal	michal	PROPN
app01-4642	1	50	šejnoha	šejnoha	PROPN
app01-4642	1	51	czech	czech	PROPN
app01-4642	1	52	technical	technical	PROPN
app01-4642	1	53	university	university	PROPN
app01-4642	1	54	in	in	ADP
app01-4642	1	55	prague	prague	PROPN
app01-4642	1	56	,	,	PUNCT
app01-4642	1	57	faculty	faculty	NOUN
app01-4642	1	58	of	of	ADP
app01-4642	1	59	civil	civil	ADJ
app01-4642	1	60	engineering	engineering	NOUN
app01-4642	1	61	,	,	PUNCT
app01-4642	1	62	thákurova	thákurova	X
app01-4642	1	63	7	7	NUM
app01-4642	1	64	,	,	PUNCT
app01-4642	1	65	166	166	NUM
app01-4642	1	66	29	29	NUM
app01-4642	1	67	prague	prague	NOUN
app01-4642	1	68	6	6	NUM
app01-4642	1	69	,	,	PUNCT
app01-4642	1	70	czech	czech	PROPN
app01-4642	1	71	republic	republic	NOUN
app01-4642	1	72	∗	∗	NOUN
app01-4642	1	73	corresponding	correspond	VERB
app01-4642	1	74	author	author	NOUN
app01-4642	1	75	:	:	PUNCT
app01-4642	1	76	jarasit@gmail.com	jarasit@gmail.com	X
app01-4642	2	1	abstract	abstract	ADJ
app01-4642	2	2	.	.	PUNCT
app01-4642	3	1	laminated	laminated	ADJ
app01-4642	3	2	glass	glass	NOUN
app01-4642	3	3	,	,	PUNCT
app01-4642	3	4	consisting	consist	VERB
app01-4642	3	5	of	of	ADP
app01-4642	3	6	glass	glass	NOUN
app01-4642	3	7	layers	layer	NOUN
app01-4642	3	8	connected	connect	VERB
app01-4642	3	9	with	with	ADP
app01-4642	3	10	transparent	transparent	ADJ
app01-4642	3	11	foils	foil	NOUN
app01-4642	3	12	,	,	PUNCT
app01-4642	3	13	has	have	AUX
app01-4642	3	14	found	find	VERB
app01-4642	3	15	its	its	PRON
app01-4642	3	16	applications	application	NOUN
app01-4642	3	17	in	in	ADP
app01-4642	3	18	civil	civil	ADJ
app01-4642	3	19	,	,	PUNCT
app01-4642	3	20	automotive	automotive	ADJ
app01-4642	3	21	,	,	PUNCT
app01-4642	3	22	or	or	CCONJ
app01-4642	3	23	marine	marine	ADJ
app01-4642	3	24	engineering	engineering	NOUN
app01-4642	3	25	.	.	PUNCT
app01-4642	4	1	due	due	ADP
app01-4642	4	2	to	to	ADP
app01-4642	4	3	a	a	DET
app01-4642	4	4	high	high	ADJ
app01-4642	4	5	contrast	contrast	NOUN
app01-4642	4	6	in	in	ADP
app01-4642	4	7	layer	layer	NOUN
app01-4642	4	8	properties	property	NOUN
app01-4642	4	9	,	,	PUNCT
app01-4642	4	10	mechanical	mechanical	ADJ
app01-4642	4	11	response	response	NOUN
app01-4642	4	12	of	of	ADP
app01-4642	4	13	laminated	laminated	ADJ
app01-4642	4	14	glass	glass	NOUN
app01-4642	4	15	structures	structure	NOUN
app01-4642	4	16	can	can	AUX
app01-4642	4	17	not	not	PART
app01-4642	4	18	be	be	AUX
app01-4642	4	19	predicted	predict	VERB
app01-4642	4	20	using	use	VERB
app01-4642	4	21	classical	classical	ADJ
app01-4642	4	22	laminate	laminate	NOUN
app01-4642	4	23	theories	theory	NOUN
app01-4642	4	24	.	.	PUNCT
app01-4642	5	1	on	on	ADP
app01-4642	5	2	the	the	DET
app01-4642	5	3	other	other	ADJ
app01-4642	5	4	hand	hand	NOUN
app01-4642	5	5	,	,	PUNCT
app01-4642	5	6	engineering	engineering	NOUN
app01-4642	5	7	applications	application	NOUN
app01-4642	5	8	demand	demand	VERB
app01-4642	5	9	easy	easy	ADJ
app01-4642	5	10	-	-	PUNCT
app01-4642	5	11	to	to	PART
app01-4642	5	12	-	-	PUNCT
app01-4642	5	13	use	use	VERB
app01-4642	5	14	formulas	formula	NOUN
app01-4642	5	15	of	of	ADP
app01-4642	5	16	acceptable	acceptable	ADJ
app01-4642	5	17	accuracy	accuracy	NOUN
app01-4642	5	18	.	.	PUNCT
app01-4642	6	1	this	this	DET
app01-4642	6	2	contribution	contribution	NOUN
app01-4642	6	3	addresses	address	VERB
app01-4642	6	4	such	such	ADJ
app01-4642	6	5	simplified	simplified	ADJ
app01-4642	6	6	models	model	NOUN
app01-4642	6	7	for	for	ADP
app01-4642	6	8	free	free	ADJ
app01-4642	6	9	vibrations	vibration	NOUN
app01-4642	6	10	of	of	ADP
app01-4642	6	11	laminated	laminated	ADJ
app01-4642	6	12	glass	glass	NOUN
app01-4642	6	13	beams	beam	NOUN
app01-4642	6	14	,	,	PUNCT
app01-4642	6	15	with	with	ADP
app01-4642	6	16	the	the	DET
app01-4642	6	17	goal	goal	NOUN
app01-4642	6	18	to	to	PART
app01-4642	6	19	determine	determine	VERB
app01-4642	6	20	their	their	PRON
app01-4642	6	21	natural	natural	ADJ
app01-4642	6	22	frequencies	frequency	NOUN
app01-4642	6	23	and	and	CCONJ
app01-4642	6	24	modal	modal	NOUN
app01-4642	6	25	damping	damp	VERB
app01-4642	6	26	properties	property	NOUN
app01-4642	6	27	.	.	PUNCT
app01-4642	7	1	our	our	PRON
app01-4642	7	2	strategy	strategy	NOUN
app01-4642	7	3	is	be	AUX
app01-4642	7	4	to	to	PART
app01-4642	7	5	approximate	approximate	VERB
app01-4642	7	6	the	the	DET
app01-4642	7	7	complex	complex	ADJ
app01-4642	7	8	behavior	behavior	NOUN
app01-4642	7	9	of	of	ADP
app01-4642	7	10	a	a	DET
app01-4642	7	11	laminated	laminated	ADJ
app01-4642	7	12	structure	structure	NOUN
app01-4642	7	13	with	with	ADP
app01-4642	7	14	that	that	PRON
app01-4642	7	15	of	of	ADP
app01-4642	7	16	an	an	DET
app01-4642	7	17	equivalent	equivalent	ADJ
app01-4642	7	18	monolithic	monolithic	ADJ
app01-4642	7	19	beam	beam	NOUN
app01-4642	7	20	.	.	PUNCT
app01-4642	8	1	its	its	PRON
app01-4642	8	2	effective	effective	ADJ
app01-4642	8	3	thickness	thickness	NOUN
app01-4642	8	4	is	be	AUX
app01-4642	8	5	determined	determine	VERB
app01-4642	8	6	by	by	ADP
app01-4642	8	7	the	the	DET
app01-4642	8	8	variational	variational	ADJ
app01-4642	8	9	method	method	NOUN
app01-4642	8	10	proposed	propose	VERB
app01-4642	8	11	by	by	ADP
app01-4642	8	12	galuppi	galuppi	NOUN
app01-4642	8	13	and	and	CCONJ
app01-4642	8	14	royer	royer	PROPN
app01-4642	8	15	-	-	PUNCT
app01-4642	8	16	carfagni	carfagni	NOUN
app01-4642	8	17	for	for	ADP
app01-4642	8	18	static	static	ADJ
app01-4642	8	19	problems	problem	NOUN
app01-4642	8	20	,	,	PUNCT
app01-4642	8	21	which	which	PRON
app01-4642	8	22	we	we	PRON
app01-4642	8	23	extended	extend	VERB
app01-4642	8	24	for	for	ADP
app01-4642	8	25	modal	modal	ADJ
app01-4642	8	26	analysis	analysis	NOUN
app01-4642	8	27	.	.	PUNCT
app01-4642	9	1	we	we	PRON
app01-4642	9	2	show	show	VERB
app01-4642	9	3	that	that	SCONJ
app01-4642	9	4	this	this	DET
app01-4642	9	5	new	new	ADJ
app01-4642	9	6	approach	approach	NOUN
app01-4642	9	7	overcomes	overcome	VERB
app01-4642	9	8	inaccuracies	inaccuracy	NOUN
app01-4642	9	9	of	of	ADP
app01-4642	9	10	the	the	DET
app01-4642	9	11	currently	currently	ADV
app01-4642	9	12	used	use	VERB
app01-4642	9	13	dynamic	dynamic	ADJ
app01-4642	9	14	effective	effective	ADJ
app01-4642	9	15	thickness	thickness	NOUN
app01-4642	9	16	model	model	NOUN
app01-4642	9	17	by	by	ADP
app01-4642	9	18	lópez	lópez	NOUN
app01-4642	9	19	-	-	PUNCT
app01-4642	9	20	aenlle	aenlle	PROPN
app01-4642	9	21	and	and	CCONJ
app01-4642	9	22	pelayo	pelayo	PROPN
app01-4642	9	23	.	.	PUNCT
app01-4642	10	1	keywords	keyword	NOUN
app01-4642	10	2	:	:	PUNCT
app01-4642	10	3	laminated	laminated	ADJ
app01-4642	10	4	glass	glass	NOUN
app01-4642	10	5	,	,	PUNCT
app01-4642	10	6	dynamic	dynamic	ADJ
app01-4642	10	7	effective	effective	ADJ
app01-4642	10	8	thickness	thickness	NOUN
app01-4642	10	9	,	,	PUNCT
app01-4642	10	10	modal	modal	ADJ
app01-4642	10	11	analysis	analysis	NOUN
app01-4642	10	12	.	.	PUNCT
app01-4642	11	1	1	1	X
app01-4642	11	2	.	.	X
app01-4642	11	3	motivation	motivation	NOUN
app01-4642	11	4	in	in	ADP
app01-4642	11	5	the	the	DET
app01-4642	11	6	past	past	NOUN
app01-4642	11	7	,	,	PUNCT
app01-4642	11	8	glass	glass	NOUN
app01-4642	11	9	was	be	AUX
app01-4642	11	10	seen	see	VERB
app01-4642	11	11	as	as	ADP
app01-4642	11	12	an	an	DET
app01-4642	11	13	infill	infill	NOUN
app01-4642	11	14	material	material	NOUN
app01-4642	11	15	for	for	ADP
app01-4642	11	16	transparent	transparent	ADJ
app01-4642	11	17	areas	area	NOUN
app01-4642	11	18	with	with	ADP
app01-4642	11	19	no	no	DET
app01-4642	11	20	load	load	NOUN
app01-4642	11	21	-	-	PUNCT
app01-4642	11	22	bearing	bear	VERB
app01-4642	11	23	function	function	NOUN
app01-4642	11	24	in	in	ADP
app01-4642	11	25	a	a	DET
app01-4642	11	26	structural	structural	ADJ
app01-4642	11	27	system	system	NOUN
app01-4642	11	28	.	.	PUNCT
app01-4642	12	1	the	the	DET
app01-4642	12	2	invention	invention	NOUN
app01-4642	12	3	of	of	ADP
app01-4642	12	4	laminated	laminated	ADJ
app01-4642	12	5	glass	glass	NOUN
app01-4642	12	6	became	become	VERB
app01-4642	12	7	one	one	NUM
app01-4642	12	8	of	of	ADP
app01-4642	12	9	the	the	DET
app01-4642	12	10	milestones	milestone	NOUN
app01-4642	12	11	that	that	PRON
app01-4642	12	12	allowed	allow	VERB
app01-4642	12	13	glass	glass	NOUN
app01-4642	12	14	to	to	PART
app01-4642	12	15	attain	attain	VERB
app01-4642	12	16	a	a	DET
app01-4642	12	17	genuine	genuine	ADJ
app01-4642	12	18	structural	structural	ADJ
app01-4642	12	19	role	role	NOUN
app01-4642	12	20	[	[	X
app01-4642	12	21	1	1	NUM
app01-4642	12	22	]	]	PUNCT
app01-4642	12	23	.	.	PUNCT
app01-4642	13	1	starting	start	VERB
app01-4642	13	2	from	from	ADP
app01-4642	13	3	windscreens	windscreen	NOUN
app01-4642	13	4	in	in	ADP
app01-4642	13	5	the	the	DET
app01-4642	13	6	car	car	NOUN
app01-4642	13	7	industry	industry	NOUN
app01-4642	13	8	,	,	PUNCT
app01-4642	13	9	its	its	PRON
app01-4642	13	10	use	use	NOUN
app01-4642	13	11	has	have	AUX
app01-4642	13	12	expanded	expand	VERB
app01-4642	13	13	into	into	ADP
app01-4642	13	14	other	other	ADJ
app01-4642	13	15	fields	field	NOUN
app01-4642	13	16	of	of	ADP
app01-4642	13	17	industry	industry	NOUN
app01-4642	13	18	,	,	PUNCT
app01-4642	13	19	including	include	VERB
app01-4642	13	20	civil	civil	ADJ
app01-4642	13	21	engineering	engineering	NOUN
app01-4642	13	22	.	.	PUNCT
app01-4642	14	1	today	today	NOUN
app01-4642	14	2	,	,	PUNCT
app01-4642	14	3	layered	layered	ADJ
app01-4642	14	4	glass	glass	NOUN
app01-4642	14	5	is	be	AUX
app01-4642	14	6	used	use	VERB
app01-4642	14	7	,	,	PUNCT
app01-4642	14	8	for	for	ADP
app01-4642	14	9	example	example	NOUN
app01-4642	14	10	,	,	PUNCT
app01-4642	14	11	for	for	ADP
app01-4642	14	12	floor	floor	NOUN
app01-4642	14	13	and	and	CCONJ
app01-4642	14	14	roof	roof	NOUN
app01-4642	14	15	systems	system	NOUN
app01-4642	14	16	,	,	PUNCT
app01-4642	14	17	columns	column	NOUN
app01-4642	14	18	,	,	PUNCT
app01-4642	14	19	staircases	staircase	NOUN
app01-4642	14	20	etc	etc	X
app01-4642	14	21	.	.	X
app01-4642	14	22	laminated	laminated	ADJ
app01-4642	14	23	glass	glass	NOUN
app01-4642	14	24	is	be	AUX
app01-4642	14	25	a	a	DET
app01-4642	14	26	layered	layered	ADJ
app01-4642	14	27	composite	composite	ADJ
app01-4642	14	28	material	material	NOUN
app01-4642	14	29	consisting	consist	VERB
app01-4642	14	30	of	of	ADP
app01-4642	14	31	several	several	ADJ
app01-4642	14	32	layers	layer	NOUN
app01-4642	14	33	of	of	ADP
app01-4642	14	34	glass	glass	NOUN
app01-4642	14	35	and	and	CCONJ
app01-4642	14	36	polymer	polymer	NOUN
app01-4642	14	37	.	.	PUNCT
app01-4642	15	1	apart	apart	ADV
app01-4642	15	2	from	from	ADP
app01-4642	15	3	its	its	PRON
app01-4642	15	4	primary	primary	ADJ
app01-4642	15	5	function	function	NOUN
app01-4642	15	6	in	in	ADP
app01-4642	15	7	enhancing	enhance	VERB
app01-4642	15	8	the	the	DET
app01-4642	15	9	post	post	ADJ
app01-4642	15	10	-	-	ADJ
app01-4642	15	11	peak	peak	ADJ
app01-4642	15	12	load	load	NOUN
app01-4642	15	13	-	-	PUNCT
app01-4642	15	14	bearing	bear	VERB
app01-4642	15	15	capacity	capacity	NOUN
app01-4642	15	16	,	,	PUNCT
app01-4642	15	17	the	the	DET
app01-4642	15	18	polymer	polymer	NOUN
app01-4642	15	19	interlayer	interlayer	NOUN
app01-4642	15	20	also	also	ADV
app01-4642	15	21	provides	provide	VERB
app01-4642	15	22	damping	damping	NOUN
app01-4642	15	23	of	of	ADP
app01-4642	15	24	vibrations	vibration	NOUN
app01-4642	15	25	[	[	X
app01-4642	15	26	2	2	NUM
app01-4642	15	27	]	]	PUNCT
app01-4642	15	28	.	.	PUNCT
app01-4642	16	1	therefore	therefore	ADV
app01-4642	16	2	,	,	PUNCT
app01-4642	16	3	it	it	PRON
app01-4642	16	4	can	can	AUX
app01-4642	16	5	also	also	ADV
app01-4642	16	6	reduce	reduce	VERB
app01-4642	16	7	the	the	DET
app01-4642	16	8	possible	possible	ADJ
app01-4642	16	9	noise	noise	NOUN
app01-4642	16	10	and	and	CCONJ
app01-4642	16	11	vibration	vibration	NOUN
app01-4642	16	12	problems	problem	NOUN
app01-4642	16	13	,	,	PUNCT
app01-4642	16	14	which	which	PRON
app01-4642	16	15	can	can	AUX
app01-4642	16	16	occur	occur	VERB
app01-4642	16	17	in	in	ADP
app01-4642	16	18	structures	structure	NOUN
app01-4642	16	19	under	under	ADP
app01-4642	16	20	dynamic	dynamic	ADJ
app01-4642	16	21	loading	loading	NOUN
app01-4642	16	22	.	.	PUNCT
app01-4642	17	1	on	on	ADP
app01-4642	17	2	the	the	DET
app01-4642	17	3	other	other	ADJ
app01-4642	17	4	hand	hand	NOUN
app01-4642	17	5	,	,	PUNCT
app01-4642	17	6	the	the	DET
app01-4642	17	7	nature	nature	NOUN
app01-4642	17	8	of	of	ADP
app01-4642	17	9	the	the	DET
app01-4642	17	10	polymer	polymer	NOUN
app01-4642	17	11	response	response	NOUN
app01-4642	17	12	is	be	AUX
app01-4642	17	13	strongly	strongly	ADV
app01-4642	17	14	frequency	frequency	NOUN
app01-4642	17	15	-	-	PUNCT
app01-4642	17	16	dependent	dependent	ADJ
app01-4642	17	17	and	and	CCONJ
app01-4642	17	18	also	also	ADV
app01-4642	17	19	temperature	temperature	NOUN
app01-4642	17	20	-	-	PUNCT
app01-4642	17	21	sensitive	sensitive	ADJ
app01-4642	17	22	,	,	PUNCT
app01-4642	17	23	e.g.	e.g.	ADV
app01-4642	17	24	,	,	PUNCT
app01-4642	17	25	[	[	X
app01-4642	17	26	3	3	NUM
app01-4642	17	27	]	]	PUNCT
app01-4642	17	28	,	,	PUNCT
app01-4642	17	29	[	[	X
app01-4642	17	30	4	4	NUM
app01-4642	17	31	]	]	PUNCT
app01-4642	17	32	,	,	PUNCT
app01-4642	17	33	or	or	CCONJ
app01-4642	17	34	[	[	X
app01-4642	17	35	5	5	NUM
app01-4642	17	36	]	]	PUNCT
app01-4642	17	37	.	.	PUNCT
app01-4642	18	1	its	its	PRON
app01-4642	18	2	behavior	behavior	NOUN
app01-4642	18	3	is	be	AUX
app01-4642	18	4	often	often	ADV
app01-4642	18	5	described	describe	VERB
app01-4642	18	6	by	by	ADP
app01-4642	18	7	a	a	DET
app01-4642	18	8	complex	complex	ADV
app01-4642	18	9	-	-	PUNCT
app01-4642	18	10	valued	value	VERB
app01-4642	18	11	dynamic	dynamic	ADJ
app01-4642	18	12	shear	shear	NOUN
app01-4642	18	13	modulus	modulus	NOUN
app01-4642	18	14	,	,	PUNCT
app01-4642	18	15	see	see	VERB
app01-4642	18	16	figure	figure	NOUN
app01-4642	18	17	1	1	NUM
app01-4642	18	18	.	.	PUNCT
app01-4642	19	1	this	this	DET
app01-4642	19	2	complex	complex	ADV
app01-4642	19	3	-	-	PUNCT
app01-4642	19	4	valued	value	VERB
app01-4642	19	5	formulation	formulation	NOUN
app01-4642	19	6	allows	allow	VERB
app01-4642	19	7	us	we	PRON
app01-4642	19	8	to	to	PART
app01-4642	19	9	transmit	transmit	VERB
app01-4642	19	10	the	the	DET
app01-4642	19	11	information	information	NOUN
app01-4642	19	12	about	about	ADP
app01-4642	19	13	the	the	DET
app01-4642	19	14	resonance	resonance	NOUN
app01-4642	19	15	behavior	behavior	NOUN
app01-4642	19	16	and	and	CCONJ
app01-4642	19	17	damping	damp	VERB
app01-4642	19	18	of	of	ADP
app01-4642	19	19	the	the	DET
app01-4642	19	20	structural	structural	ADJ
app01-4642	19	21	element	element	NOUN
app01-4642	19	22	in	in	ADP
app01-4642	19	23	a	a	DET
app01-4642	19	24	single	single	ADJ
app01-4642	19	25	complex	complex	ADJ
app01-4642	19	26	number	number	NOUN
app01-4642	19	27	.	.	PUNCT
app01-4642	20	1	for	for	ADP
app01-4642	20	2	these	these	DET
app01-4642	20	3	reasons	reason	NOUN
app01-4642	20	4	,	,	PUNCT
app01-4642	20	5	the	the	DET
app01-4642	20	6	eigenvalue	eigenvalue	PROPN
app01-4642	20	7	problem	problem	NOUN
app01-4642	20	8	which	which	PRON
app01-4642	20	9	describes	describe	VERB
app01-4642	20	10	the	the	DET
app01-4642	20	11	free	free	ADJ
app01-4642	20	12	vibrations	vibration	NOUN
app01-4642	20	13	of	of	ADP
app01-4642	20	14	laminated	laminated	ADJ
app01-4642	20	15	glass	glass	NOUN
app01-4642	20	16	becomes	become	VERB
app01-4642	20	17	complex	complex	ADJ
app01-4642	20	18	and	and	CCONJ
app01-4642	20	19	nonlinear	nonlinear	ADJ
app01-4642	20	20	;	;	PUNCT
app01-4642	20	21	see	see	VERB
app01-4642	20	22	section	section	NOUN
app01-4642	20	23	2.1	2.1	NUM
app01-4642	20	24	for	for	ADP
app01-4642	20	25	more	more	ADJ
app01-4642	20	26	details	detail	NOUN
app01-4642	20	27	.	.	PUNCT
app01-4642	21	1	to	to	ADP
app01-4642	21	2	the	the	DET
app01-4642	21	3	best	good	ADJ
app01-4642	21	4	of	of	ADP
app01-4642	21	5	our	our	PRON
app01-4642	21	6	knowledge	knowledge	NOUN
app01-4642	21	7	,	,	PUNCT
app01-4642	21	8	such	such	ADJ
app01-4642	21	9	type	type	NOUN
app01-4642	21	10	of	of	ADP
app01-4642	21	11	problems	problem	NOUN
app01-4642	21	12	can	can	AUX
app01-4642	21	13	not	not	PART
app01-4642	21	14	be	be	AUX
app01-4642	21	15	currently	currently	ADV
app01-4642	21	16	addressed	address	VERB
app01-4642	21	17	with	with	ADP
app01-4642	21	18	standard	standard	ADJ
app01-4642	21	19	finite	finite	PROPN
app01-4642	21	20	element	element	NOUN
app01-4642	21	21	systems	system	NOUN
app01-4642	21	22	used	use	VERB
app01-4642	21	23	in	in	ADP
app01-4642	21	24	civil	civil	ADJ
app01-4642	21	25	engineering	engineering	NOUN
app01-4642	21	26	.	.	PUNCT
app01-4642	22	1	as	as	SCONJ
app01-4642	22	2	engineering	engineering	NOUN
app01-4642	22	3	practice	practice	NOUN
app01-4642	22	4	demands	demand	VERB
app01-4642	22	5	easy	easy	ADJ
app01-4642	22	6	-	-	PUNCT
app01-4642	22	7	to	to	ADP
app01-4642	22	8	-	-	PUNCT
app01-4642	22	9	use	use	NOUN
app01-4642	22	10	approaches	approach	NOUN
app01-4642	22	11	of	of	ADP
app01-4642	22	12	acceptable	acceptable	ADJ
app01-4642	22	13	accuracy	accuracy	NOUN
app01-4642	22	14	,	,	PUNCT
app01-4642	22	15	this	this	DET
app01-4642	22	16	contribution	contribution	NOUN
app01-4642	22	17	addresses	address	NOUN
app01-4642	22	18	simplified	simplify	VERB
app01-4642	22	19	models	model	NOUN
app01-4642	22	20	for	for	ADP
app01-4642	22	21	free	free	ADJ
app01-4642	22	22	vibrations	vibration	NOUN
app01-4642	22	23	of	of	ADP
app01-4642	22	24	laminated	laminated	ADJ
app01-4642	22	25	glass	glass	NOUN
app01-4642	22	26	beams	beam	NOUN
app01-4642	22	27	,	,	PUNCT
app01-4642	22	28	with	with	ADP
app01-4642	22	29	the	the	DET
app01-4642	22	30	goal	goal	NOUN
app01-4642	22	31	to	to	PART
app01-4642	22	32	determine	determine	VERB
app01-4642	22	33	their	their	PRON
app01-4642	22	34	natural	natural	ADJ
app01-4642	22	35	frequencies	frequency	NOUN
app01-4642	22	36	and	and	CCONJ
app01-4642	22	37	modal	modal	NOUN
app01-4642	22	38	damping	damp	VERB
app01-4642	22	39	properties	property	NOUN
app01-4642	22	40	.	.	PUNCT
app01-4642	23	1	our	our	PRON
app01-4642	23	2	focus	focus	NOUN
app01-4642	23	3	is	be	AUX
app01-4642	23	4	on	on	ADP
app01-4642	23	5	the	the	DET
app01-4642	23	6	effective	effective	ADJ
app01-4642	23	7	thickness	thickness	NOUN
app01-4642	23	8	approaches	approach	NOUN
app01-4642	23	9	–	–	PUNCT
app01-4642	23	10	one	one	NUM
app01-4642	23	11	group	group	NOUN
app01-4642	23	12	of	of	ADP
app01-4642	23	13	the	the	DET
app01-4642	23	14	simplified	simplified	ADJ
app01-4642	23	15	methods	method	NOUN
app01-4642	23	16	popular	popular	ADJ
app01-4642	23	17	in	in	ADP
app01-4642	23	18	the	the	DET
app01-4642	23	19	design	design	NOUN
app01-4642	23	20	of	of	ADP
app01-4642	23	21	laminated	laminated	ADJ
app01-4642	23	22	glass	glass	NOUN
app01-4642	23	23	structures	structure	NOUN
app01-4642	23	24	,	,	PUNCT
app01-4642	23	25	e.g.	e.g.	ADV
app01-4642	23	26	,	,	PUNCT
app01-4642	23	27	[	[	X
app01-4642	23	28	6	6	NUM
app01-4642	23	29	]	]	PUNCT
app01-4642	23	30	,	,	PUNCT
app01-4642	23	31	[	[	X
app01-4642	23	32	7	7	NUM
app01-4642	23	33	]	]	PUNCT
app01-4642	23	34	,	,	PUNCT
app01-4642	23	35	[	[	X
app01-4642	23	36	8	8	NUM
app01-4642	23	37	]	]	PUNCT
app01-4642	23	38	.	.	PUNCT
app01-4642	24	1	in	in	ADP
app01-4642	24	2	particular	particular	ADJ
app01-4642	24	3	,	,	PUNCT
app01-4642	24	4	we	we	PRON
app01-4642	24	5	demonstrate	demonstrate	VERB
app01-4642	24	6	on	on	ADP
app01-4642	24	7	selected	select	VERB
app01-4642	24	8	examples	example	NOUN
app01-4642	24	9	the	the	DET
app01-4642	24	10	(	(	PUNCT
app01-4642	24	11	in)accuracy	in)accuracy	NOUN
app01-4642	24	12	of	of	ADP
app01-4642	24	13	the	the	DET
app01-4642	24	14	state	state	NOUN
app01-4642	24	15	-	-	PUNCT
app01-4642	24	16	of	of	ADP
app01-4642	24	17	-	-	PUNCT
app01-4642	24	18	the	the	DET
app01-4642	24	19	-	-	PUNCT
app01-4642	24	20	art	art	NOUN
app01-4642	24	21	effective	effective	ADJ
app01-4642	24	22	thickness	thickness	NOUN
app01-4642	24	23	approaches	approach	NOUN
app01-4642	24	24	from	from	ADP
app01-4642	24	25	literature	literature	NOUN
app01-4642	24	26	,	,	PUNCT
app01-4642	24	27	and	and	CCONJ
app01-4642	24	28	we	we	PRON
app01-4642	24	29	discuss	discuss	VERB
app01-4642	24	30	our	our	PRON
app01-4642	24	31	proposal	proposal	NOUN
app01-4642	24	32	how	how	SCONJ
app01-4642	24	33	to	to	PART
app01-4642	24	34	increase	increase	VERB
app01-4642	24	35	their	their	PRON
app01-4642	24	36	accuracy	accuracy	NOUN
app01-4642	24	37	by	by	ADP
app01-4642	24	38	employing	employ	VERB
app01-4642	24	39	principles	principle	NOUN
app01-4642	24	40	of	of	ADP
app01-4642	24	41	variationally	variationally	ADV
app01-4642	24	42	-	-	PUNCT
app01-4642	24	43	based	base	VERB
app01-4642	24	44	effective	effective	ADJ
app01-4642	24	45	thickness	thickness	NOUN
app01-4642	24	46	methods	method	NOUN
app01-4642	24	47	.	.	PUNCT
app01-4642	25	1	the	the	DET
app01-4642	25	2	structure	structure	NOUN
app01-4642	25	3	of	of	ADP
app01-4642	25	4	the	the	DET
app01-4642	25	5	paper	paper	NOUN
app01-4642	25	6	is	be	AUX
app01-4642	25	7	as	as	SCONJ
app01-4642	25	8	follows	follow	VERB
app01-4642	25	9	.	.	PUNCT
app01-4642	26	1	in	in	ADP
app01-4642	26	2	section	section	NOUN
app01-4642	26	3	2	2	NUM
app01-4642	26	4	,	,	PUNCT
app01-4642	26	5	we	we	PRON
app01-4642	26	6	briefly	briefly	ADV
app01-4642	26	7	describe	describe	VERB
app01-4642	26	8	all	all	DET
app01-4642	26	9	approaches	approach	NOUN
app01-4642	26	10	used	use	VERB
app01-4642	26	11	in	in	ADP
app01-4642	26	12	this	this	DET
app01-4642	26	13	study	study	NOUN
app01-4642	26	14	.	.	PUNCT
app01-4642	27	1	the	the	DET
app01-4642	27	2	examples	example	NOUN
app01-4642	27	3	are	be	AUX
app01-4642	27	4	introduced	introduce	VERB
app01-4642	27	5	and	and	CCONJ
app01-4642	27	6	the	the	DET
app01-4642	27	7	results	result	NOUN
app01-4642	27	8	of	of	ADP
app01-4642	27	9	our	our	PRON
app01-4642	27	10	comparison	comparison	NOUN
app01-4642	27	11	are	be	AUX
app01-4642	27	12	discussed	discuss	VERB
app01-4642	27	13	in	in	ADP
app01-4642	27	14	section	section	NOUN
app01-4642	27	15	3	3	NUM
app01-4642	27	16	.	.	PUNCT
app01-4642	28	1	finally	finally	ADV
app01-4642	28	2	,	,	PUNCT
app01-4642	28	3	the	the	DET
app01-4642	28	4	main	main	ADJ
app01-4642	28	5	findings	finding	NOUN
app01-4642	28	6	of	of	ADP
app01-4642	28	7	our	our	PRON
app01-4642	28	8	study	study	NOUN
app01-4642	28	9	are	be	AUX
app01-4642	28	10	summarized	summarize	VERB
app01-4642	28	11	in	in	ADP
app01-4642	28	12	section	section	NOUN
app01-4642	28	13	4	4	NUM
app01-4642	28	14	.	.	NOUN
app01-4642	28	15	2	2	NUM
app01-4642	28	16	.	.	NOUN
app01-4642	28	17	methods	method	NOUN
app01-4642	28	18	three	three	NUM
app01-4642	28	19	methods	method	NOUN
app01-4642	28	20	for	for	ADP
app01-4642	28	21	vibration	vibration	NOUN
app01-4642	28	22	analysis	analysis	NOUN
app01-4642	28	23	of	of	ADP
app01-4642	28	24	laminated	laminated	ADJ
app01-4642	28	25	glass	glass	NOUN
app01-4642	28	26	beams	beam	NOUN
app01-4642	28	27	are	be	AUX
app01-4642	28	28	used	use	VERB
app01-4642	28	29	in	in	ADP
app01-4642	28	30	this	this	DET
app01-4642	28	31	section	section	NOUN
app01-4642	28	32	.	.	PUNCT
app01-4642	29	1	the	the	DET
app01-4642	29	2	first	first	ADJ
app01-4642	29	3	method	method	NOUN
app01-4642	29	4	is	be	AUX
app01-4642	29	5	based	base	VERB
app01-4642	29	6	on	on	ADP
app01-4642	29	7	solving	solve	VERB
app01-4642	29	8	the	the	DET
app01-4642	29	9	nonlinear	nonlinear	ADJ
app01-4642	29	10	and	and	CCONJ
app01-4642	29	11	complex	complex	ADJ
app01-4642	29	12	eigenvalue	eigenvalue	NOUN
app01-4642	29	13	problem	problem	NOUN
app01-4642	29	14	using	use	VERB
app01-4642	29	15	a	a	DET
app01-4642	29	16	finite	finite	ADJ
app01-4642	29	17	element	element	NOUN
app01-4642	29	18	discretization	discretization	NOUN
app01-4642	29	19	and	and	CCONJ
app01-4642	29	20	the	the	DET
app01-4642	29	21	newton	newton	PROPN
app01-4642	29	22	method	method	NOUN
app01-4642	29	23	.	.	PUNCT
app01-4642	30	1	this	this	DET
app01-4642	30	2	method	method	NOUN
app01-4642	30	3	provides	provide	VERB
app01-4642	30	4	us	we	PRON
app01-4642	30	5	with	with	ADP
app01-4642	30	6	a	a	DET
app01-4642	30	7	reference	reference	NOUN
app01-4642	30	8	solution	solution	NOUN
app01-4642	30	9	to	to	PART
app01-4642	30	10	assess	assess	VERB
app01-4642	30	11	the	the	DET
app01-4642	30	12	accuracy	accuracy	NOUN
app01-4642	30	13	of	of	ADP
app01-4642	30	14	effective	effective	ADJ
app01-4642	30	15	thickness	thickness	NOUN
app01-4642	30	16	approaches	approach	NOUN
app01-4642	30	17	.	.	PUNCT
app01-4642	31	1	the	the	DET
app01-4642	31	2	second	second	ADJ
app01-4642	31	3	method	method	NOUN
app01-4642	31	4	is	be	AUX
app01-4642	31	5	the	the	DET
app01-4642	31	6	dynamic	dynamic	ADJ
app01-4642	31	7	effective	effective	ADJ
app01-4642	31	8	thickness	thickness	NOUN
app01-4642	31	9	method	method	NOUN
app01-4642	31	10	(	(	PUNCT
app01-4642	31	11	det	det	PROPN
app01-4642	31	12	)	)	PUNCT
app01-4642	31	13	proposed	propose	VERB
app01-4642	31	14	by	by	ADP
app01-4642	31	15	lópez	lópez	NOUN
app01-4642	31	16	-	-	PUNCT
app01-4642	31	17	aenlle	aenlle	PROPN
app01-4642	31	18	and	and	CCONJ
app01-4642	31	19	pelayo	pelayo	PROPN
app01-4642	31	20	[	[	X
app01-4642	31	21	6	6	NUM
app01-4642	31	22	]	]	PUNCT
app01-4642	31	23	.	.	PUNCT
app01-4642	32	1	finally	finally	ADV
app01-4642	32	2	,	,	PUNCT
app01-4642	32	3	the	the	DET
app01-4642	32	4	last	last	ADJ
app01-4642	32	5	method	method	NOUN
app01-4642	32	6	is	be	AUX
app01-4642	32	7	derived	derive	VERB
app01-4642	32	8	from	from	ADP
app01-4642	32	9	the	the	DET
app01-4642	32	10	enhanced	enhance	VERB
app01-4642	32	11	effective	effective	ADJ
app01-4642	32	12	thickness	thickness	NOUN
app01-4642	32	13	approach	approach	NOUN
app01-4642	32	14	(	(	PUNCT
app01-4642	32	15	eet	eet	X
app01-4642	32	16	)	)	PUNCT
app01-4642	32	17	by	by	ADP
app01-4642	32	18	galuppi	galuppi	NOUN
app01-4642	32	19	and	and	CCONJ
app01-4642	32	20	royer	royer	NOUN
app01-4642	32	21	-	-	PUNCT
app01-4642	32	22	carfagni	carfagni	NOUN
app01-4642	32	23	for	for	ADP
app01-4642	32	24	deflections	deflection	NOUN
app01-4642	32	25	under	under	ADP
app01-4642	32	26	static	static	ADJ
app01-4642	32	27	loading	loading	NOUN
app01-4642	32	28	[	[	X
app01-4642	32	29	7	7	NUM
app01-4642	32	30	]	]	PUNCT
app01-4642	32	31	,	,	PUNCT
app01-4642	32	32	which	which	PRON
app01-4642	32	33	we	we	PRON
app01-4642	32	34	adjusted	adjust	VERB
app01-4642	32	35	for	for	ADP
app01-4642	32	36	modal	modal	ADJ
app01-4642	32	37	analysis	analysis	NOUN
app01-4642	32	38	.	.	PUNCT
app01-4642	33	1	109	109	NUM
app01-4642	33	2	http://dx.doi.org/10.14311/app.2017.13.0109	http://dx.doi.org/10.14311/app.2017.13.0109	PROPN
app01-4642	33	3	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-4642	33	4	j.	j.	PROPN
app01-4642	33	5	schmidt	schmidt	PROPN
app01-4642	33	6	,	,	PUNCT
app01-4642	33	7	a.	a.	NOUN
app01-4642	33	8	zemanová	zemanová	PROPN
app01-4642	33	9	,	,	PUNCT
app01-4642	33	10	t.	t.	PROPN
app01-4642	33	11	janda	janda	PROPN
app01-4642	33	12	et	et	PROPN
app01-4642	33	13	al	al	PROPN
app01-4642	33	14	.	.	PROPN
app01-4642	33	15	acta	acta	PROPN
app01-4642	33	16	polytechnica	polytechnica	PROPN
app01-4642	33	17	ctu	ctu	NOUN
app01-4642	33	18	proceedings	proceeding	NOUN
app01-4642	33	19	10−1	10−1	NUM
app01-4642	33	20	100	100	NUM
app01-4642	33	21	101	101	NUM
app01-4642	33	22	102	102	NUM
app01-4642	33	23	103	103	NUM
app01-4642	33	24	frequency	frequency	NOUN
app01-4642	33	25	[	[	X
app01-4642	33	26	hz	hz	X
app01-4642	33	27	]	]	X
app01-4642	33	28	10−3	10−3	NUM
app01-4642	33	29	10−2	10−2	NUM
app01-4642	33	30	10−1	10−1	NUM
app01-4642	33	31	100	100	NUM
app01-4642	33	32	101	101	NUM
app01-4642	33	33	102	102	NUM
app01-4642	33	34	103	103	NUM
app01-4642	33	35	s	s	NOUN
app01-4642	33	36	h	h	NOUN
app01-4642	33	37	e	e	NOUN
app01-4642	33	38	a	a	DET
app01-4642	33	39	r	r	NOUN
app01-4642	33	40	m	m	NOUN
app01-4642	33	41	o	o	NOUN
app01-4642	33	42	d	d	X
app01-4642	33	43	u	u	X
app01-4642	33	44	l	l	X
app01-4642	33	45	u	u	NOUN
app01-4642	33	46	s	s	X
app01-4642	33	47	[	[	X
app01-4642	33	48	m	m	X
app01-4642	33	49	p	p	NOUN
app01-4642	33	50	a	a	X
app01-4642	33	51	]	]	X
app01-4642	33	52	25	25	NUM
app01-4642	33	53	◦	◦	NOUN
app01-4642	33	54	c	c	NOUN
app01-4642	33	55	50	50	NUM
app01-4642	33	56	◦	◦	NOUN
app01-4642	33	57	c	c	NOUN
app01-4642	33	58	storage	storage	NOUN
app01-4642	33	59	modulus	modulus	NOUN
app01-4642	33	60	loss	loss	NOUN
app01-4642	33	61	modulus	modulus	NOUN
app01-4642	33	62	figure	figure	NOUN
app01-4642	33	63	1	1	NUM
app01-4642	33	64	.	.	PUNCT
app01-4642	34	1	the	the	DET
app01-4642	34	2	frequency	frequency	ADJ
app01-4642	34	3	dependence	dependence	NOUN
app01-4642	34	4	of	of	ADP
app01-4642	34	5	the	the	DET
app01-4642	34	6	real	real	ADJ
app01-4642	34	7	and	and	CCONJ
app01-4642	34	8	imaginary	imaginary	ADJ
app01-4642	34	9	part	part	NOUN
app01-4642	34	10	of	of	ADP
app01-4642	34	11	the	the	DET
app01-4642	34	12	complex	complex	ADJ
app01-4642	34	13	shear	shear	NOUN
app01-4642	34	14	modulus	modulus	NOUN
app01-4642	34	15	for	for	ADP
app01-4642	34	16	polyvinyl	polyvinyl	NOUN
app01-4642	34	17	butyral	butyral	ADJ
app01-4642	34	18	(	(	PUNCT
app01-4642	34	19	pvb	pvb	NOUN
app01-4642	34	20	)	)	PUNCT
app01-4642	34	21	according	accord	VERB
app01-4642	34	22	to	to	ADP
app01-4642	34	23	[	[	X
app01-4642	34	24	3	3	NUM
app01-4642	34	25	]	]	PUNCT
app01-4642	34	26	.	.	PUNCT
app01-4642	35	1	for	for	ADP
app01-4642	35	2	the	the	DET
app01-4642	35	3	sake	sake	NOUN
app01-4642	35	4	of	of	ADP
app01-4642	35	5	simplicity	simplicity	NOUN
app01-4642	35	6	,	,	PUNCT
app01-4642	35	7	we	we	PRON
app01-4642	35	8	focus	focus	VERB
app01-4642	35	9	on	on	ADP
app01-4642	35	10	the	the	DET
app01-4642	35	11	most	most	ADV
app01-4642	35	12	common	common	ADJ
app01-4642	35	13	case	case	NOUN
app01-4642	35	14	of	of	ADP
app01-4642	35	15	laminated	laminated	ADJ
app01-4642	35	16	glass	glass	NOUN
app01-4642	35	17	configuration	configuration	NOUN
app01-4642	35	18	–	–	PUNCT
app01-4642	35	19	a	a	DET
app01-4642	35	20	threelayered	threelayere	VERB
app01-4642	35	21	beam	beam	NOUN
app01-4642	35	22	.	.	PUNCT
app01-4642	36	1	however	however	ADV
app01-4642	36	2	,	,	PUNCT
app01-4642	36	3	the	the	DET
app01-4642	36	4	generalization	generalization	NOUN
app01-4642	36	5	of	of	ADP
app01-4642	36	6	all	all	DET
app01-4642	36	7	methods	method	NOUN
app01-4642	36	8	for	for	ADP
app01-4642	36	9	multi	multi	ADJ
app01-4642	36	10	-	-	ADJ
app01-4642	36	11	layered	layered	ADJ
app01-4642	36	12	beams	beam	NOUN
app01-4642	36	13	can	can	AUX
app01-4642	36	14	be	be	AUX
app01-4642	36	15	also	also	ADV
app01-4642	36	16	found	find	VERB
app01-4642	36	17	in	in	ADP
app01-4642	36	18	the	the	DET
app01-4642	36	19	literature	literature	NOUN
app01-4642	36	20	[	[	X
app01-4642	36	21	9	9	NUM
app01-4642	36	22	]	]	PUNCT
app01-4642	36	23	.	.	PUNCT
app01-4642	37	1	in	in	ADP
app01-4642	37	2	our	our	PRON
app01-4642	37	3	analysis	analysis	NOUN
app01-4642	37	4	,	,	PUNCT
app01-4642	37	5	we	we	PRON
app01-4642	37	6	consider	consider	VERB
app01-4642	37	7	a	a	DET
app01-4642	37	8	threelayered	threelayere	VERB
app01-4642	37	9	beam	beam	NOUN
app01-4642	37	10	with	with	ADP
app01-4642	37	11	the	the	DET
app01-4642	37	12	same	same	ADJ
app01-4642	37	13	material	material	NOUN
app01-4642	37	14	parameters	parameter	NOUN
app01-4642	37	15	for	for	ADP
app01-4642	37	16	both	both	DET
app01-4642	37	17	glass	glass	NOUN
app01-4642	37	18	layers	layer	NOUN
app01-4642	37	19	and	and	CCONJ
app01-4642	37	20	with	with	ADP
app01-4642	37	21	constant	constant	ADJ
app01-4642	37	22	properties	property	NOUN
app01-4642	37	23	along	along	ADP
app01-4642	37	24	the	the	DET
app01-4642	37	25	length	length	NOUN
app01-4642	37	26	according	accord	VERB
app01-4642	37	27	to	to	PART
app01-4642	37	28	figure	figure	NOUN
app01-4642	37	29	2	2	NUM
app01-4642	37	30	.	.	PUNCT
app01-4642	38	1	then	then	ADV
app01-4642	38	2	,	,	PUNCT
app01-4642	38	3	the	the	DET
app01-4642	38	4	crosssection	crosssection	NOUN
app01-4642	38	5	areas	area	NOUN
app01-4642	38	6	ai	ai	VERB
app01-4642	38	7	and	and	CCONJ
app01-4642	38	8	the	the	DET
app01-4642	38	9	second	second	ADJ
app01-4642	38	10	moments	moment	NOUN
app01-4642	38	11	of	of	ADP
app01-4642	38	12	area	area	PROPN
app01-4642	38	13	ii	ii	PROPN
app01-4642	38	14	are	be	AUX
app01-4642	38	15	defined	define	VERB
app01-4642	38	16	by	by	ADP
app01-4642	38	17	the	the	DET
app01-4642	38	18	standard	standard	PROPN
app01-4642	38	19	relations	relation	NOUN
app01-4642	38	20	ii	ii	NOUN
app01-4642	39	1	=	=	SYM
app01-4642	39	2	1	1	NUM
app01-4642	39	3	12bh	12bh	NOUN
app01-4642	39	4	3	3	NUM
app01-4642	39	5	i	i	PRON
app01-4642	39	6	,	,	PUNCT
app01-4642	39	7	ai	ai	VERB
app01-4642	39	8	=	=	ADJ
app01-4642	39	9	bhi	bhi	PROPN
app01-4642	39	10	,	,	PUNCT
app01-4642	39	11	i	i	PRON
app01-4642	39	12	=	=	PUNCT
app01-4642	39	13	{	{	PUNCT
app01-4642	39	14	1	1	NUM
app01-4642	39	15	,	,	PUNCT
app01-4642	39	16	2	2	NUM
app01-4642	39	17	,	,	PUNCT
app01-4642	39	18	3	3	NUM
app01-4642	39	19	}	}	PUNCT
app01-4642	39	20	,	,	PUNCT
app01-4642	39	21	(	(	PUNCT
app01-4642	39	22	1	1	X
app01-4642	39	23	)	)	PUNCT
app01-4642	39	24	where	where	SCONJ
app01-4642	39	25	b	b	NOUN
app01-4642	39	26	and	and	CCONJ
app01-4642	39	27	hi	hi	INTJ
app01-4642	39	28	stand	stand	VERB
app01-4642	39	29	for	for	ADP
app01-4642	39	30	the	the	DET
app01-4642	39	31	width	width	NOUN
app01-4642	39	32	and	and	CCONJ
app01-4642	39	33	the	the	DET
app01-4642	39	34	thicknesses	thickness	NOUN
app01-4642	39	35	of	of	ADP
app01-4642	39	36	the	the	DET
app01-4642	39	37	layers	layer	NOUN
app01-4642	39	38	;	;	PUNCT
app01-4642	39	39	see	see	VERB
app01-4642	39	40	figure	figure	NOUN
app01-4642	39	41	2	2	NUM
app01-4642	39	42	.	.	NOUN
app01-4642	39	43	2.1	2.1	NUM
app01-4642	39	44	.	.	PUNCT
app01-4642	40	1	reference	reference	NOUN
app01-4642	40	2	method	method	NOUN
app01-4642	40	3	(	(	PUNCT
app01-4642	40	4	rm	rm	NOUN
app01-4642	40	5	)	)	PUNCT
app01-4642	40	6	our	our	PRON
app01-4642	40	7	reference	reference	NOUN
app01-4642	40	8	method	method	NOUN
app01-4642	40	9	is	be	AUX
app01-4642	40	10	based	base	VERB
app01-4642	40	11	on	on	ADP
app01-4642	40	12	the	the	DET
app01-4642	40	13	finite	finite	PROPN
app01-4642	40	14	element	element	NOUN
app01-4642	40	15	method	method	NOUN
app01-4642	40	16	(	(	PUNCT
app01-4642	40	17	fem	fem	NOUN
app01-4642	40	18	)	)	PUNCT
app01-4642	40	19	together	together	ADV
app01-4642	40	20	with	with	ADP
app01-4642	40	21	the	the	DET
app01-4642	40	22	newton	newton	PROPN
app01-4642	40	23	method	method	NOUN
app01-4642	40	24	due	due	ADP
app01-4642	40	25	to	to	ADP
app01-4642	40	26	the	the	DET
app01-4642	40	27	nonlinearity	nonlinearity	NOUN
app01-4642	40	28	of	of	ADP
app01-4642	40	29	the	the	DET
app01-4642	40	30	solved	solve	VERB
app01-4642	40	31	eigenvalue	eigenvalue	PROPN
app01-4642	40	32	problem	problem	NOUN
app01-4642	40	33	.	.	PUNCT
app01-4642	41	1	the	the	DET
app01-4642	41	2	system	system	NOUN
app01-4642	41	3	of	of	ADP
app01-4642	41	4	equations	equation	NOUN
app01-4642	41	5	of	of	ADP
app01-4642	41	6	natural	natural	ADJ
app01-4642	41	7	vibrations	vibration	NOUN
app01-4642	41	8	is	be	AUX
app01-4642	41	9	written	write	VERB
app01-4642	41	10	in	in	ADP
app01-4642	41	11	the	the	DET
app01-4642	41	12	fem	fem	NOUN
app01-4642	41	13	matrix	matrix	NOUN
app01-4642	41	14	form	form	NOUN
app01-4642	41	15	as	as	SCONJ
app01-4642	41	16	follows	follow	VERB
app01-4642	41	17	(	(	PUNCT
app01-4642	41	18	k(ω)−	k(ω)−	PROPN
app01-4642	41	19	ω2	ω2	PROPN
app01-4642	41	20	m	m	NOUN
app01-4642	41	21	)	)	PUNCT
app01-4642	41	22	u	u	NOUN
app01-4642	41	23	=	=	PROPN
app01-4642	41	24	0	0	NUM
app01-4642	41	25	,	,	PUNCT
app01-4642	41	26	(	(	PUNCT
app01-4642	41	27	2	2	X
app01-4642	41	28	)	)	PUNCT
app01-4642	41	29	where	where	SCONJ
app01-4642	41	30	ω	ω	PROPN
app01-4642	41	31	is	be	AUX
app01-4642	41	32	the	the	DET
app01-4642	41	33	natural	natural	ADJ
app01-4642	41	34	angular	angular	ADJ
app01-4642	41	35	frequency	frequency	NOUN
app01-4642	41	36	,	,	PUNCT
app01-4642	41	37	u	u	PROPN
app01-4642	41	38	is	be	AUX
app01-4642	41	39	the	the	DET
app01-4642	41	40	corresponding	correspond	VERB
app01-4642	41	41	vector	vector	NOUN
app01-4642	41	42	of	of	ADP
app01-4642	41	43	the	the	DET
app01-4642	41	44	mode	mode	NOUN
app01-4642	41	45	shape	shape	NOUN
app01-4642	41	46	,	,	PUNCT
app01-4642	41	47	k(ω	k(ω	PROPN
app01-4642	41	48	)	)	PUNCT
app01-4642	41	49	is	be	AUX
app01-4642	41	50	the	the	DET
app01-4642	41	51	complex	complex	ADJ
app01-4642	41	52	frequency	frequency	NOUN
app01-4642	41	53	-	-	PUNCT
app01-4642	41	54	dependent	dependent	ADJ
app01-4642	41	55	stiffness	stiffness	NOUN
app01-4642	41	56	matrix	matrix	NOUN
app01-4642	41	57	,	,	PUNCT
app01-4642	41	58	and	and	CCONJ
app01-4642	41	59	m	m	PROPN
app01-4642	41	60	is	be	AUX
app01-4642	41	61	the	the	DET
app01-4642	41	62	real	real	ADV
app01-4642	41	63	constant	constant	ADJ
app01-4642	41	64	mass	mass	NOUN
app01-4642	41	65	matrix	matrix	NOUN
app01-4642	41	66	.	.	PUNCT
app01-4642	42	1	the	the	DET
app01-4642	42	2	eigenvalue	eigenvalue	PROPN
app01-4642	42	3	problem	problem	NOUN
app01-4642	42	4	described	describe	VERB
app01-4642	42	5	by	by	ADP
app01-4642	42	6	eq	eq	PROPN
app01-4642	42	7	.	.	PUNCT
app01-4642	43	1	(	(	PUNCT
app01-4642	43	2	2	2	X
app01-4642	43	3	)	)	PUNCT
app01-4642	43	4	specifies	specify	VERB
app01-4642	43	5	the	the	DET
app01-4642	43	6	mode	mode	NOUN
app01-4642	43	7	shape	shape	NOUN
app01-4642	43	8	up	up	ADP
app01-4642	43	9	to	to	ADP
app01-4642	43	10	an	an	DET
app01-4642	43	11	arbitrary	arbitrary	ADJ
app01-4642	43	12	constant	constant	ADJ
app01-4642	43	13	.	.	PUNCT
app01-4642	44	1	therefore	therefore	ADV
app01-4642	44	2	,	,	PUNCT
app01-4642	44	3	we	we	PRON
app01-4642	44	4	use	use	VERB
app01-4642	44	5	a	a	DET
app01-4642	44	6	regularization	regularization	NOUN
app01-4642	44	7	condition	condition	NOUN
app01-4642	44	8	u0	u0	ADJ
app01-4642	44	9	t(u	t(u	PROPN
app01-4642	44	10	−u0	−u0	NOUN
app01-4642	44	11	)	)	PUNCT
app01-4642	45	1	=	=	SYM
app01-4642	45	2	0	0	NUM
app01-4642	45	3	,	,	PUNCT
app01-4642	45	4	(	(	PUNCT
app01-4642	45	5	3	3	X
app01-4642	45	6	)	)	PUNCT
app01-4642	45	7	in	in	ADP
app01-4642	45	8	order	order	NOUN
app01-4642	45	9	to	to	PART
app01-4642	45	10	ensure	ensure	VERB
app01-4642	45	11	the	the	DET
app01-4642	45	12	uniqueness	uniqueness	NOUN
app01-4642	45	13	of	of	ADP
app01-4642	45	14	the	the	DET
app01-4642	45	15	solution	solution	NOUN
app01-4642	45	16	.	.	PUNCT
app01-4642	46	1	here	here	ADV
app01-4642	46	2	,	,	PUNCT
app01-4642	46	3	u0	u0	PROPN
app01-4642	46	4	is	be	AUX
app01-4642	46	5	the	the	DET
app01-4642	46	6	initial	initial	ADJ
app01-4642	46	7	mode	mode	NOUN
app01-4642	46	8	shape	shape	NOUN
app01-4642	46	9	solving	solve	VERB
app01-4642	46	10	the	the	DET
app01-4642	46	11	real	real	ADJ
app01-4642	46	12	eigenvalue	eigenvalue	NOUN
app01-4642	46	13	problem	problem	NOUN
app01-4642	46	14	with	with	ADP
app01-4642	46	15	the	the	DET
app01-4642	46	16	constant	constant	ADJ
app01-4642	46	17	stiffness	stiffness	NOUN
app01-4642	46	18	matrix	matrix	NOUN
app01-4642	46	19	accounting	accounting	NOUN
app01-4642	46	20	only	only	ADV
app01-4642	46	21	for	for	ADP
app01-4642	46	22	the	the	DET
app01-4642	46	23	initial	initial	ADJ
app01-4642	46	24	shear	shear	NOUN
app01-4642	46	25	modulus	modulus	NOUN
app01-4642	46	26	of	of	ADP
app01-4642	46	27	the	the	DET
app01-4642	46	28	polymer	polymer	NOUN
app01-4642	46	29	interlayer	interlayer	NOUN
app01-4642	46	30	.	.	PUNCT
app01-4642	47	1	for	for	ADP
app01-4642	47	2	each	each	DET
app01-4642	47	3	initial	initial	ADJ
app01-4642	47	4	eigen	eigen	NOUN
app01-4642	47	5	-	-	PUNCT
app01-4642	47	6	pair	pair	NOUN
app01-4642	47	7	ω0	ω0	NOUN
app01-4642	47	8	and	and	CCONJ
app01-4642	47	9	u0	u0	ADJ
app01-4642	47	10	,	,	PUNCT
app01-4642	47	11	we	we	PRON
app01-4642	47	12	solve	solve	VERB
app01-4642	47	13	iteratively	iteratively	ADV
app01-4642	47	14	a	a	DET
app01-4642	47	15	linearized	linearize	VERB
app01-4642	47	16	system	system	NOUN
app01-4642	47	17	of	of	ADP
app01-4642	47	18	equations	equation	NOUN
app01-4642	47	19	,	,	PUNCT
app01-4642	47	20	derived	derive	VERB
app01-4642	47	21	by	by	ADP
app01-4642	47	22	the	the	DET
app01-4642	47	23	newton	newton	PROPN
app01-4642	47	24	method	method	NOUN
app01-4642	47	25	[	[	X
app01-4642	47	26	10	10	NUM
app01-4642	47	27	]	]	PUNCT
app01-4642	47	28	from	from	ADP
app01-4642	47	29	eq	eq	ADP
app01-4642	47	30	.	.	PUNCT
app01-4642	48	1	(	(	PUNCT
app01-4642	48	2	2	2	NUM
app01-4642	48	3	)	)	PUNCT
app01-4642	48	4	and	and	CCONJ
app01-4642	48	5	eq	eq	NOUN
app01-4642	48	6	.	.	PUNCT
app01-4642	49	1	(	(	PUNCT
app01-4642	49	2	3	3	NUM
app01-4642	49	3	)	)	PUNCT
app01-4642	49	4	,	,	PUNCT
app01-4642	49	5	until	until	SCONJ
app01-4642	49	6	the	the	DET
app01-4642	49	7	convergence	convergence	NOUN
app01-4642	49	8	is	be	AUX
app01-4642	49	9	achieved	achieve	VERB
app01-4642	49	10	.	.	PUNCT
app01-4642	50	1	then	then	ADV
app01-4642	50	2	,	,	PUNCT
app01-4642	50	3	the	the	DET
app01-4642	50	4	natural	natural	ADJ
app01-4642	50	5	frequencies	frequency	NOUN
app01-4642	50	6	fhz	fhz	ADJ
app01-4642	50	7	and	and	CCONJ
app01-4642	50	8	the	the	DET
app01-4642	50	9	loss	loss	NOUN
app01-4642	50	10	factors	factor	NOUN
app01-4642	50	11	η	η	PROPN
app01-4642	50	12	(	(	PUNCT
app01-4642	50	13	representing	represent	VERB
app01-4642	50	14	damping	damp	VERB
app01-4642	50	15	)	)	PUNCT
app01-4642	50	16	correspond	correspond	VERB
app01-4642	50	17	to	to	ADP
app01-4642	50	18	the	the	DET
app01-4642	50	19	real	real	ADJ
app01-4642	50	20	part	part	NOUN
app01-4642	50	21	and	and	CCONJ
app01-4642	50	22	to	to	ADP
app01-4642	50	23	the	the	DET
app01-4642	50	24	ratio	ratio	NOUN
app01-4642	50	25	of	of	ADP
app01-4642	50	26	imaginary	imaginary	ADJ
app01-4642	50	27	and	and	CCONJ
app01-4642	50	28	real	real	ADJ
app01-4642	50	29	part	part	NOUN
app01-4642	50	30	of	of	ADP
app01-4642	50	31	the	the	DET
app01-4642	50	32	complex	complex	ADJ
app01-4642	50	33	eigen	eigen	NOUN
app01-4642	50	34	-	-	PUNCT
app01-4642	50	35	frequencies	frequency	NOUN
app01-4642	50	36	fhz	fhz	ADJ
app01-4642	50	37	=	=	SYM
app01-4642	50	38	√	√	NUM
app01-4642	50	39	re[ω2	re[ω2	PROPN
app01-4642	50	40	]	]	X
app01-4642	50	41	2π	2π	NOUN
app01-4642	50	42	,	,	PUNCT
app01-4642	50	43	(	(	PUNCT
app01-4642	50	44	4a	4a	NUM
app01-4642	50	45	)	)	PUNCT
app01-4642	50	46	η	η	PROPN
app01-4642	50	47	=	=	SYM
app01-4642	50	48	im[ω2	im[ω2	PROPN
app01-4642	50	49	]	]	PUNCT
app01-4642	50	50	re[ω2	re[ω2	PROPN
app01-4642	50	51	]	]	PUNCT
app01-4642	50	52	.	.	PUNCT
app01-4642	51	1	(	(	PUNCT
app01-4642	51	2	4b	4b	X
app01-4642	51	3	)	)	PUNCT
app01-4642	51	4	this	this	DET
app01-4642	51	5	numerical	numerical	ADJ
app01-4642	51	6	solution	solution	NOUN
app01-4642	51	7	converges	converge	VERB
app01-4642	51	8	for	for	ADP
app01-4642	51	9	a	a	DET
app01-4642	51	10	small	small	ADJ
app01-4642	51	11	stopping	stopping	NOUN
app01-4642	51	12	tolerance	tolerance	NOUN
app01-4642	51	13	to	to	ADP
app01-4642	51	14	the	the	DET
app01-4642	51	15	exact	exact	ADJ
app01-4642	51	16	solution	solution	NOUN
app01-4642	51	17	.	.	PUNCT
app01-4642	52	1	that	that	PRON
app01-4642	52	2	is	be	AUX
app01-4642	52	3	why	why	SCONJ
app01-4642	52	4	this	this	DET
app01-4642	52	5	method	method	NOUN
app01-4642	52	6	is	be	AUX
app01-4642	52	7	taken	take	VERB
app01-4642	52	8	as	as	ADP
app01-4642	52	9	the	the	DET
app01-4642	52	10	reference	reference	NOUN
app01-4642	52	11	one	one	NUM
app01-4642	52	12	,	,	PUNCT
app01-4642	52	13	when	when	SCONJ
app01-4642	52	14	assessing	assess	VERB
app01-4642	52	15	the	the	DET
app01-4642	52	16	accuracy	accuracy	NOUN
app01-4642	52	17	of	of	ADP
app01-4642	52	18	the	the	DET
app01-4642	52	19	simplified	simplified	ADJ
app01-4642	52	20	methods	method	NOUN
app01-4642	52	21	considered	consider	VERB
app01-4642	52	22	next	next	ADV
app01-4642	52	23	.	.	PUNCT
app01-4642	53	1	2.2	2.2	NUM
app01-4642	53	2	.	.	PUNCT
app01-4642	53	3	dynamic	dynamic	ADJ
app01-4642	53	4	effective	effective	ADJ
app01-4642	53	5	thickness	thickness	NOUN
app01-4642	53	6	(	(	PUNCT
app01-4642	53	7	det	det	PROPN
app01-4642	53	8	)	)	PUNCT
app01-4642	53	9	to	to	ADP
app01-4642	53	10	our	our	PRON
app01-4642	53	11	best	good	ADJ
app01-4642	53	12	knowledge	knowledge	NOUN
app01-4642	53	13	,	,	PUNCT
app01-4642	53	14	only	only	ADV
app01-4642	53	15	one	one	NUM
app01-4642	53	16	effective	effective	ADJ
app01-4642	53	17	thickness	thickness	NOUN
app01-4642	53	18	approach	approach	NOUN
app01-4642	53	19	for	for	ADP
app01-4642	53	20	modal	modal	ADJ
app01-4642	53	21	analysis	analysis	NOUN
app01-4642	53	22	of	of	ADP
app01-4642	53	23	laminated	laminated	ADJ
app01-4642	53	24	glass	glass	NOUN
app01-4642	53	25	beams	beam	NOUN
app01-4642	53	26	can	can	AUX
app01-4642	53	27	be	be	AUX
app01-4642	53	28	found	find	VERB
app01-4642	53	29	in	in	ADP
app01-4642	53	30	literature	literature	NOUN
app01-4642	53	31	.	.	PUNCT
app01-4642	54	1	this	this	DET
app01-4642	54	2	approach	approach	NOUN
app01-4642	54	3	by	by	ADP
app01-4642	54	4	lópezaenlle	lópezaenlle	NOUN
app01-4642	54	5	and	and	CCONJ
app01-4642	54	6	pelayo	pelayo	PROPN
app01-4642	54	7	[	[	X
app01-4642	54	8	6	6	NUM
app01-4642	54	9	]	]	PUNCT
app01-4642	54	10	is	be	AUX
app01-4642	54	11	derived	derive	VERB
app01-4642	54	12	from	from	ADP
app01-4642	54	13	a	a	DET
app01-4642	54	14	closed	closed	ADJ
app01-4642	54	15	-	-	PUNCT
app01-4642	54	16	form	form	NOUN
app01-4642	54	17	solution	solution	NOUN
app01-4642	54	18	of	of	ADP
app01-4642	54	19	free	free	ADJ
app01-4642	54	20	vibration	vibration	NOUN
app01-4642	54	21	for	for	ADP
app01-4642	54	22	a	a	DET
app01-4642	54	23	three	three	NUM
app01-4642	54	24	-	-	PUNCT
app01-4642	54	25	layer	layer	NOUN
app01-4642	54	26	beam	beam	NOUN
app01-4642	54	27	with	with	ADP
app01-4642	54	28	simply	simply	ADV
app01-4642	54	29	-	-	PUNCT
app01-4642	54	30	supported	support	VERB
app01-4642	54	31	ends	end	NOUN
app01-4642	54	32	.	.	PUNCT
app01-4642	55	1	for	for	ADP
app01-4642	55	2	the	the	DET
app01-4642	55	3	other	other	ADJ
app01-4642	55	4	boundary	boundary	ADJ
app01-4642	55	5	conditions	condition	NOUN
app01-4642	55	6	,	,	PUNCT
app01-4642	55	7	the	the	DET
app01-4642	55	8	authors	author	NOUN
app01-4642	55	9	adjust	adjust	VERB
app01-4642	55	10	the	the	DET
app01-4642	55	11	formulation	formulation	NOUN
app01-4642	55	12	using	use	VERB
app01-4642	55	13	the	the	DET
app01-4642	55	14	wavenumbers	wavenumber	NOUN
app01-4642	55	15	of	of	ADP
app01-4642	55	16	an	an	DET
app01-4642	55	17	euler	euler	NOUN
app01-4642	55	18	-	-	PUNCT
app01-4642	55	19	bernoulli	bernoulli	NOUN
app01-4642	55	20	beam	beam	NOUN
app01-4642	55	21	,	,	PUNCT
app01-4642	55	22	see	see	VERB
app01-4642	55	23	ahead	ahead	ADV
app01-4642	55	24	eq	eq	ADP
app01-4642	55	25	.	.	PUNCT
app01-4642	56	1	(	(	PUNCT
app01-4642	56	2	7	7	NUM
app01-4642	56	3	)	)	PUNCT
app01-4642	56	4	and	and	CCONJ
app01-4642	56	5	table	table	NOUN
app01-4642	56	6	2	2	NUM
app01-4642	56	7	.	.	PUNCT
app01-4642	57	1	the	the	DET
app01-4642	57	2	analytical	analytical	ADJ
app01-4642	57	3	expression	expression	NOUN
app01-4642	57	4	for	for	ADP
app01-4642	57	5	this	this	DET
app01-4642	57	6	dynamic	dynamic	ADJ
app01-4642	57	7	effective	effective	ADJ
app01-4642	57	8	thickness	thickness	NOUN
app01-4642	57	9	has	have	VERB
app01-4642	57	10	the	the	DET
app01-4642	57	11	following	follow	VERB
app01-4642	57	12	form	form	NOUN
app01-4642	57	13	hef(ω	hef(ω	PROPN
app01-4642	57	14	)	)	PUNCT
app01-4642	57	15	=	=	SYM
app01-4642	57	16	3	3	NUM
app01-4642	57	17	√√√√(h3	√√√√(h3	NOUN
app01-4642	57	18	1	1	NUM
app01-4642	57	19	+	+	NUM
app01-4642	57	20	h3	h3	NOUN
app01-4642	57	21	3	3	NUM
app01-4642	57	22	)	)	PUNCT
app01-4642	57	23	(	(	PUNCT
app01-4642	57	24	1	1	NUM
app01-4642	57	25	+	+	NUM
app01-4642	57	26	y	y	PROPN
app01-4642	57	27	1	1	NUM
app01-4642	57	28	+	+	CCONJ
app01-4642	57	29	h1	h1	PROPN
app01-4642	57	30	q(ω)(h1+h3	q(ω)(h1+h3	NOUN
app01-4642	57	31	)	)	PUNCT
app01-4642	57	32	)	)	PUNCT
app01-4642	57	33	,	,	PUNCT
app01-4642	57	34	(	(	PUNCT
app01-4642	57	35	5	5	X
app01-4642	57	36	)	)	PUNCT
app01-4642	57	37	where	where	SCONJ
app01-4642	57	38	y	y	PROPN
app01-4642	57	39	is	be	AUX
app01-4642	57	40	a	a	DET
app01-4642	57	41	geometric	geometric	ADJ
app01-4642	57	42	parameter	parameter	NOUN
app01-4642	57	43	,	,	PUNCT
app01-4642	57	44	which	which	PRON
app01-4642	57	45	depends	depend	VERB
app01-4642	57	46	only	only	ADV
app01-4642	57	47	on	on	ADP
app01-4642	57	48	the	the	DET
app01-4642	57	49	thicknesses	thickness	NOUN
app01-4642	57	50	of	of	ADP
app01-4642	57	51	layers	layer	NOUN
app01-4642	57	52	and	and	CCONJ
app01-4642	57	53	is	be	AUX
app01-4642	57	54	given	give	VERB
app01-4642	57	55	by	by	ADP
app01-4642	57	56	y	y	PROPN
app01-4642	57	57	=	=	SYM
app01-4642	57	58	12h1h3(0.5h1	12h1h3(0.5h1	PROPN
app01-4642	57	59	+	+	CCONJ
app01-4642	57	60	h2	h2	PROPN
app01-4642	57	61	+	+	CCONJ
app01-4642	57	62	0.5h3	0.5h3	NOUN
app01-4642	57	63	)	)	PUNCT
app01-4642	57	64	(	(	PUNCT
app01-4642	57	65	h3	h3	NOUN
app01-4642	57	66	1	1	NUM
app01-4642	57	67	+	+	NUM
app01-4642	57	68	h3	h3	NOUN
app01-4642	57	69	3)(h1	3)(h1	NUM
app01-4642	57	70	+	+	NUM
app01-4642	57	71	h3	h3	NOUN
app01-4642	57	72	)	)	PUNCT
app01-4642	57	73	,	,	PUNCT
app01-4642	57	74	(	(	PUNCT
app01-4642	57	75	6	6	NUM
app01-4642	57	76	)	)	PUNCT
app01-4642	57	77	and	and	CCONJ
app01-4642	57	78	q(ω	q(ω	NOUN
app01-4642	57	79	)	)	PUNCT
app01-4642	57	80	is	be	AUX
app01-4642	57	81	a	a	DET
app01-4642	57	82	material	material	NOUN
app01-4642	57	83	parameter	parameter	NOUN
app01-4642	57	84	given	give	VERB
app01-4642	57	85	by	by	ADP
app01-4642	57	86	the	the	DET
app01-4642	57	87	identity	identity	NOUN
app01-4642	57	88	q(ω	q(ω	NOUN
app01-4642	57	89	)	)	PUNCT
app01-4642	57	90	=	=	PUNCT
app01-4642	58	1	g2(ω	g2(ω	NOUN
app01-4642	58	2	)	)	PUNCT
app01-4642	58	3	e1h3h2β2	e1h3h2β2	PROPN
app01-4642	58	4	n	n	CCONJ
app01-4642	58	5	.	.	PUNCT
app01-4642	59	1	(	(	PUNCT
app01-4642	59	2	7	7	X
app01-4642	59	3	)	)	PUNCT
app01-4642	59	4	in	in	ADP
app01-4642	59	5	this	this	DET
app01-4642	59	6	equation	equation	NOUN
app01-4642	59	7	,	,	PUNCT
app01-4642	59	8	g2(ω	g2(ω	PROPN
app01-4642	59	9	)	)	PUNCT
app01-4642	59	10	is	be	AUX
app01-4642	59	11	the	the	DET
app01-4642	59	12	frequency	frequency	NOUN
app01-4642	59	13	-	-	PUNCT
app01-4642	59	14	dependent	dependent	ADJ
app01-4642	59	15	complex	complex	ADJ
app01-4642	59	16	shear	shear	NOUN
app01-4642	59	17	modulus	modulus	NOUN
app01-4642	59	18	of	of	ADP
app01-4642	59	19	the	the	DET
app01-4642	59	20	interlayer	interlayer	NOUN
app01-4642	59	21	,	,	PUNCT
app01-4642	59	22	e1	e1	PROPN
app01-4642	59	23	is	be	AUX
app01-4642	59	24	the	the	DET
app01-4642	59	25	young	young	ADJ
app01-4642	59	26	modulus	modulus	NOUN
app01-4642	59	27	of	of	ADP
app01-4642	59	28	glass	glass	NOUN
app01-4642	59	29	layers	layer	NOUN
app01-4642	59	30	,	,	PUNCT
app01-4642	59	31	and	and	CCONJ
app01-4642	59	32	βn	βn	NOUN
app01-4642	59	33	is	be	AUX
app01-4642	59	34	the	the	DET
app01-4642	59	35	wavenumber	wavenumber	NOUN
app01-4642	59	36	corresponding	correspond	VERB
app01-4642	59	37	to	to	ADP
app01-4642	59	38	the	the	DET
app01-4642	59	39	given	give	VERB
app01-4642	59	40	boundary	boundary	ADJ
app01-4642	59	41	conditions	condition	NOUN
app01-4642	59	42	and	and	CCONJ
app01-4642	59	43	to	to	ADP
app01-4642	59	44	the	the	DET
app01-4642	59	45	n	n	ADV
app01-4642	59	46	-	-	PUNCT
app01-4642	59	47	th	th	VERB
app01-4642	59	48	mode	mode	NOUN
app01-4642	59	49	,	,	PUNCT
app01-4642	59	50	see	see	VERB
app01-4642	59	51	ahead	ahead	ADV
app01-4642	59	52	table	table	NOUN
app01-4642	59	53	2	2	NUM
app01-4642	59	54	.	.	PUNCT
app01-4642	60	1	because	because	SCONJ
app01-4642	60	2	the	the	DET
app01-4642	60	3	shear	shear	NOUN
app01-4642	60	4	modulus	modulus	NOUN
app01-4642	60	5	g2(ω	g2(ω	NOUN
app01-4642	60	6	)	)	PUNCT
app01-4642	60	7	is	be	AUX
app01-4642	60	8	complex	complex	ADV
app01-4642	60	9	-	-	PUNCT
app01-4642	60	10	valued	value	VERB
app01-4642	60	11	,	,	PUNCT
app01-4642	60	12	the	the	DET
app01-4642	60	13	effective	effective	ADJ
app01-4642	60	14	thickness	thickness	NOUN
app01-4642	60	15	from	from	ADP
app01-4642	60	16	eq	eq	PROPN
app01-4642	60	17	.	.	PUNCT
app01-4642	61	1	(	(	PUNCT
app01-4642	61	2	5	5	NUM
app01-4642	61	3	)	)	PUNCT
app01-4642	61	4	is	be	AUX
app01-4642	61	5	also	also	ADV
app01-4642	61	6	complex	complex	ADJ
app01-4642	61	7	.	.	PUNCT
app01-4642	62	1	then	then	ADV
app01-4642	62	2	,	,	PUNCT
app01-4642	62	3	the	the	DET
app01-4642	62	4	complex	complex	ADV
app01-4642	62	5	-	-	PUNCT
app01-4642	62	6	valued	value	VERB
app01-4642	62	7	natural	natural	ADJ
app01-4642	62	8	angular	angular	ADJ
app01-4642	62	9	frequencies	frequency	NOUN
app01-4642	62	10	can	can	AUX
app01-4642	62	11	be	be	AUX
app01-4642	62	12	expressed	express	VERB
app01-4642	62	13	analytically	analytically	ADV
app01-4642	62	14	,	,	PUNCT
app01-4642	62	15	similarly	similarly	ADV
app01-4642	62	16	as	as	ADP
app01-4642	62	17	for	for	ADP
app01-4642	62	18	the	the	DET
app01-4642	62	19	monolithic	monolithic	ADJ
app01-4642	62	20	beam	beam	NOUN
app01-4642	62	21	ω2	ω2	PROPN
app01-4642	62	22	=	=	PROPN
app01-4642	62	23	β4	β4	PROPN
app01-4642	62	24	ne1h	ne1h	PROPN
app01-4642	62	25	3	3	NUM
app01-4642	62	26	ef(ω	ef(ω	NOUN
app01-4642	62	27	)	)	PUNCT
app01-4642	62	28	12m̄	12m̄	NUM
app01-4642	62	29	,	,	PUNCT
app01-4642	62	30	(	(	PUNCT
app01-4642	62	31	8)	8)	NUM
app01-4642	62	32	110	110	NUM
app01-4642	62	33	vol	vol	NOUN
app01-4642	62	34	.	.	PUNCT
app01-4642	63	1	13/2017	13/2017	NUM
app01-4642	63	2	variationally	variationally	ADV
app01-4642	63	3	-	-	PUNCT
app01-4642	63	4	based	base	VERB
app01-4642	63	5	effective	effective	ADJ
app01-4642	63	6	dynamic	dynamic	ADJ
app01-4642	63	7	thickness	thickness	NOUN
app01-4642	63	8	h1	h1	PROPN
app01-4642	63	9	h2	h2	PROPN
app01-4642	63	10	h3	h3	NOUN
app01-4642	63	11	l	l	NOUN
app01-4642	63	12	b	b	PROPN
app01-4642	63	13	figure	figure	NOUN
app01-4642	63	14	2	2	NUM
app01-4642	63	15	.	.	PUNCT
app01-4642	64	1	the	the	DET
app01-4642	64	2	layout	layout	NOUN
app01-4642	64	3	of	of	ADP
app01-4642	64	4	a	a	DET
app01-4642	64	5	three	three	NUM
app01-4642	64	6	-	-	PUNCT
app01-4642	64	7	layered	layered	ADJ
app01-4642	64	8	laminated	laminate	VERB
app01-4642	64	9	glass	glass	NOUN
app01-4642	64	10	beam	beam	NOUN
app01-4642	64	11	.	.	PUNCT
app01-4642	65	1	where	where	SCONJ
app01-4642	65	2	m̄	m̄	NOUN
app01-4642	65	3	=	=	PUNCT
app01-4642	65	4	ρ1h1	ρ1h1	X
app01-4642	65	5	+	+	PUNCT
app01-4642	65	6	ρ2h2	ρ2h2	X
app01-4642	65	7	+	+	NUM
app01-4642	65	8	ρ3h3	ρ3h3	SYM
app01-4642	65	9	(	(	PUNCT
app01-4642	65	10	9	9	NUM
app01-4642	65	11	)	)	PUNCT
app01-4642	65	12	is	be	AUX
app01-4642	65	13	the	the	DET
app01-4642	65	14	effective	effective	ADJ
app01-4642	65	15	mass	mass	NOUN
app01-4642	65	16	per	per	ADP
app01-4642	65	17	unit	unit	NOUN
app01-4642	65	18	of	of	ADP
app01-4642	65	19	length	length	NOUN
app01-4642	65	20	and	and	CCONJ
app01-4642	65	21	width	width	NOUN
app01-4642	65	22	.	.	PUNCT
app01-4642	66	1	the	the	DET
app01-4642	66	2	natural	natural	ADJ
app01-4642	66	3	frequencies	frequency	NOUN
app01-4642	66	4	fhz	fhz	ADJ
app01-4642	66	5	and	and	CCONJ
app01-4642	66	6	loss	loss	NOUN
app01-4642	66	7	factors	factor	NOUN
app01-4642	66	8	η	η	X
app01-4642	66	9	are	be	AUX
app01-4642	66	10	obtained	obtain	VERB
app01-4642	66	11	from	from	ADP
app01-4642	66	12	this	this	DET
app01-4642	66	13	complex	complex	ADV
app01-4642	66	14	-	-	PUNCT
app01-4642	66	15	valued	value	VERB
app01-4642	66	16	angular	angular	ADJ
app01-4642	66	17	frequency	frequency	NOUN
app01-4642	66	18	ω	ω	PROPN
app01-4642	66	19	according	accord	VERB
app01-4642	66	20	to	to	ADP
app01-4642	66	21	eq	eq	PROPN
app01-4642	66	22	.	.	PUNCT
app01-4642	67	1	(	(	PUNCT
app01-4642	67	2	4	4	NUM
app01-4642	67	3	)	)	PUNCT
app01-4642	67	4	.	.	PUNCT
app01-4642	68	1	2.3	2.3	NUM
app01-4642	68	2	.	.	PUNCT
app01-4642	68	3	enhanced	enhance	VERB
app01-4642	68	4	effective	effective	ADJ
app01-4642	68	5	thickness	thickness	NOUN
app01-4642	68	6	(	(	PUNCT
app01-4642	68	7	eet	eet	X
app01-4642	68	8	)	)	PUNCT
app01-4642	68	9	firstly	firstly	ADV
app01-4642	68	10	,	,	PUNCT
app01-4642	68	11	we	we	PRON
app01-4642	68	12	introduce	introduce	VERB
app01-4642	68	13	the	the	DET
app01-4642	68	14	formula	formula	NOUN
app01-4642	68	15	for	for	ADP
app01-4642	68	16	the	the	DET
app01-4642	68	17	deflectioneffective	deflectioneffective	ADJ
app01-4642	68	18	thickness	thickness	NOUN
app01-4642	68	19	according	accord	VERB
app01-4642	68	20	to	to	ADP
app01-4642	68	21	galuppi	galuppi	NOUN
app01-4642	68	22	and	and	CCONJ
app01-4642	68	23	royercarfagni	royercarfagni	VERB
app01-4642	68	24	[	[	X
app01-4642	68	25	7	7	NUM
app01-4642	68	26	]	]	PUNCT
app01-4642	68	27	,	,	PUNCT
app01-4642	68	28	and	and	CCONJ
app01-4642	68	29	subsequently	subsequently	ADV
app01-4642	68	30	,	,	PUNCT
app01-4642	68	31	we	we	PRON
app01-4642	68	32	propose	propose	VERB
app01-4642	68	33	its	its	PRON
app01-4642	68	34	extension	extension	NOUN
app01-4642	68	35	to	to	ADP
app01-4642	68	36	the	the	DET
app01-4642	68	37	free	free	ADJ
app01-4642	68	38	vibration	vibration	NOUN
app01-4642	68	39	analysis	analysis	NOUN
app01-4642	68	40	.	.	PUNCT
app01-4642	69	1	to	to	PART
app01-4642	69	2	shorten	shorten	VERB
app01-4642	69	3	the	the	DET
app01-4642	69	4	notation	notation	NOUN
app01-4642	69	5	,	,	PUNCT
app01-4642	69	6	h	h	NOUN
app01-4642	69	7	is	be	AUX
app01-4642	69	8	defined	define	VERB
app01-4642	69	9	as	as	ADP
app01-4642	69	10	a	a	DET
app01-4642	69	11	distance	distance	NOUN
app01-4642	69	12	of	of	ADP
app01-4642	69	13	centerlines	centerline	NOUN
app01-4642	69	14	of	of	ADP
app01-4642	69	15	glass	glass	NOUN
app01-4642	69	16	layers	layer	NOUN
app01-4642	69	17	,	,	PUNCT
app01-4642	69	18	so	so	SCONJ
app01-4642	69	19	that	that	SCONJ
app01-4642	69	20	h	h	NOUN
app01-4642	69	21	=	=	SYM
app01-4642	69	22	h2	h2	PROPN
app01-4642	69	23	+	+	CCONJ
app01-4642	69	24	0.5(h1	0.5(h1	NUM
app01-4642	69	25	+	+	NUM
app01-4642	69	26	h3	h3	NOUN
app01-4642	69	27	)	)	PUNCT
app01-4642	69	28	.	.	PUNCT
app01-4642	70	1	(	(	PUNCT
app01-4642	70	2	10	10	NUM
app01-4642	70	3	)	)	PUNCT
app01-4642	70	4	further	far	ADV
app01-4642	70	5	,	,	PUNCT
app01-4642	70	6	itot	itot	ADJ
app01-4642	70	7	is	be	AUX
app01-4642	70	8	the	the	DET
app01-4642	70	9	second	second	ADJ
app01-4642	70	10	moment	moment	NOUN
app01-4642	70	11	of	of	ADP
app01-4642	70	12	area	area	NOUN
app01-4642	70	13	of	of	ADP
app01-4642	70	14	glass	glass	NOUN
app01-4642	70	15	layers	layer	NOUN
app01-4642	70	16	for	for	ADP
app01-4642	70	17	the	the	DET
app01-4642	70	18	monolithic	monolithic	ADJ
app01-4642	70	19	case	case	NOUN
app01-4642	70	20	itot	itot	ADJ
app01-4642	70	21	=	=	PROPN
app01-4642	70	22	i1	i1	PROPN
app01-4642	70	23	+	+	CCONJ
app01-4642	70	24	i3	i3	NOUN
app01-4642	70	25	+	+	CCONJ
app01-4642	70	26	a1a3	a1a3	PUNCT
app01-4642	70	27	a1	a1	NOUN
app01-4642	70	28	+	+	PROPN
app01-4642	70	29	a3	a3	NOUN
app01-4642	70	30	h2	h2	NOUN
app01-4642	70	31	,	,	PUNCT
app01-4642	70	32	(	(	PUNCT
app01-4642	70	33	11	11	NUM
app01-4642	70	34	)	)	PUNCT
app01-4642	70	35	and	and	CCONJ
app01-4642	70	36	is	be	AUX
app01-4642	70	37	is	be	AUX
app01-4642	70	38	the	the	DET
app01-4642	70	39	last	last	ADJ
app01-4642	70	40	term	term	NOUN
app01-4642	70	41	from	from	ADP
app01-4642	70	42	(	(	PUNCT
app01-4642	70	43	11	11	NUM
app01-4642	70	44	)	)	PUNCT
app01-4642	70	45	divided	divide	VERB
app01-4642	70	46	by	by	ADP
app01-4642	70	47	the	the	DET
app01-4642	70	48	width	width	NOUN
app01-4642	70	49	of	of	ADP
app01-4642	70	50	the	the	DET
app01-4642	70	51	beam	beam	PROPN
app01-4642	70	52	b	b	PROPN
app01-4642	70	53	,	,	PUNCT
app01-4642	70	54	thus	thus	ADV
app01-4642	70	55	is	be	AUX
app01-4642	70	56	=	=	PUNCT
app01-4642	70	57	h1h3	h1h3	NOUN
app01-4642	70	58	h1	h1	NOUN
app01-4642	70	59	+	+	CCONJ
app01-4642	70	60	h3	h3	NOUN
app01-4642	70	61	h2	h2	NOUN
app01-4642	70	62	.	.	PUNCT
app01-4642	71	1	(	(	PUNCT
app01-4642	71	2	12	12	NUM
app01-4642	71	3	)	)	PUNCT
app01-4642	71	4	using	use	VERB
app01-4642	71	5	these	these	DET
app01-4642	71	6	quantities	quantity	NOUN
app01-4642	71	7	,	,	PUNCT
app01-4642	71	8	the	the	DET
app01-4642	71	9	enhanced	enhanced	ADJ
app01-4642	71	10	effective	effective	ADJ
app01-4642	71	11	thickness	thickness	NOUN
app01-4642	71	12	for	for	ADP
app01-4642	71	13	the	the	DET
app01-4642	71	14	deflection	deflection	NOUN
app01-4642	71	15	under	under	ADP
app01-4642	71	16	static	static	ADJ
app01-4642	71	17	loading	loading	NOUN
app01-4642	71	18	from	from	ADP
app01-4642	71	19	[	[	X
app01-4642	71	20	7	7	NUM
app01-4642	71	21	]	]	PUNCT
app01-4642	71	22	has	have	VERB
app01-4642	71	23	the	the	DET
app01-4642	71	24	following	follow	VERB
app01-4642	71	25	form	form	NOUN
app01-4642	71	26	hef	hef	NOUN
app01-4642	71	27	=	=	NOUN
app01-4642	71	28	3	3	NUM
app01-4642	71	29	√√√√√	√√√√√	SYM
app01-4642	71	30	1	1	NUM
app01-4642	71	31	ζ	ζ	NOUN
app01-4642	71	32	h3	h3	NOUN
app01-4642	71	33	1	1	NUM
app01-4642	71	34	+	+	NUM
app01-4642	71	35	h3	h3	NOUN
app01-4642	71	36	3	3	NUM
app01-4642	72	1	+	+	CCONJ
app01-4642	72	2	12is	12is	ADJ
app01-4642	73	1	+	+	CCONJ
app01-4642	73	2	1−	1−	NUM
app01-4642	73	3	ζ	ζ	NOUN
app01-4642	73	4	h3	h3	NOUN
app01-4642	73	5	1	1	NUM
app01-4642	73	6	+	+	NUM
app01-4642	73	7	h3	h3	NOUN
app01-4642	73	8	3	3	NUM
app01-4642	73	9	,	,	PUNCT
app01-4642	73	10	(	(	PUNCT
app01-4642	73	11	13	13	NUM
app01-4642	73	12	)	)	PUNCT
app01-4642	73	13	where	where	SCONJ
app01-4642	73	14	ζ	ζ	NOUN
app01-4642	73	15	is	be	AUX
app01-4642	73	16	the	the	DET
app01-4642	73	17	coefficient	coefficient	NOUN
app01-4642	73	18	of	of	ADP
app01-4642	73	19	shear	shear	ADJ
app01-4642	73	20	cohesion	cohesion	NOUN
app01-4642	73	21	ζ	ζ	NOUN
app01-4642	73	22	=	=	SYM
app01-4642	73	23	1	1	NUM
app01-4642	73	24	1	1	NUM
app01-4642	73	25	+	+	CCONJ
app01-4642	73	26	i1	i1	NOUN
app01-4642	73	27	+	+	CCONJ
app01-4642	73	28	i3	i3	PROPN
app01-4642	73	29	µitot	µitot	ADJ
app01-4642	73	30	a1a3	a1a3	PUNCT
app01-4642	73	31	a1	a1	NOUN
app01-4642	73	32	+	+	PROPN
app01-4642	73	33	a3	a3	NOUN
app01-4642	73	34	ψ	ψ	X
app01-4642	73	35	,	,	PUNCT
app01-4642	73	36	(	(	PUNCT
app01-4642	73	37	14	14	NUM
app01-4642	73	38	)	)	PUNCT
app01-4642	73	39	and	and	CCONJ
app01-4642	73	40	µ	µ	X
app01-4642	73	41	is	be	AUX
app01-4642	73	42	the	the	DET
app01-4642	73	43	non	non	ADJ
app01-4642	73	44	-	-	ADJ
app01-4642	73	45	dimensional	dimensional	ADJ
app01-4642	73	46	ratio	ratio	NOUN
app01-4642	73	47	of	of	ADP
app01-4642	73	48	the	the	DET
app01-4642	73	49	glass	glass	NOUN
app01-4642	73	50	and	and	CCONJ
app01-4642	73	51	interlayer	interlayer	NOUN
app01-4642	73	52	stiffnesses	stiffnesse	VERB
app01-4642	73	53	µ	µ	NOUN
app01-4642	73	54	=	=	SYM
app01-4642	73	55	g2b	g2b	NOUN
app01-4642	73	56	e1h2	e1h2	PROPN
app01-4642	73	57	.	.	PUNCT
app01-4642	74	1	(	(	PUNCT
app01-4642	74	2	15	15	NUM
app01-4642	74	3	)	)	PUNCT
app01-4642	74	4	finally	finally	ADV
app01-4642	74	5	,	,	PUNCT
app01-4642	74	6	ψ	ψ	X
app01-4642	74	7	is	be	AUX
app01-4642	74	8	a	a	DET
app01-4642	74	9	coefficient	coefficient	NOUN
app01-4642	74	10	which	which	PRON
app01-4642	74	11	depends	depend	VERB
app01-4642	74	12	on	on	ADP
app01-4642	74	13	the	the	DET
app01-4642	74	14	shape	shape	NOUN
app01-4642	74	15	of	of	ADP
app01-4642	74	16	the	the	DET
app01-4642	74	17	deflection	deflection	NOUN
app01-4642	74	18	curve	curve	NOUN
app01-4642	74	19	and	and	CCONJ
app01-4642	74	20	is	be	AUX
app01-4642	74	21	described	describe	VERB
app01-4642	74	22	by	by	ADP
app01-4642	74	23	the	the	DET
app01-4642	74	24	following	follow	VERB
app01-4642	74	25	equation	equation	NOUN
app01-4642	74	26	ψ	ψ	X
app01-4642	74	27	=	=	PUNCT
app01-4642	74	28	∫	∫	PROPN
app01-4642	74	29	l	l	NOUN
app01-4642	74	30	0	0	PUNCT
app01-4642	74	31	(	(	PUNCT
app01-4642	74	32	g′′(x))2dx∫	g′′(x))2dx∫	ADJ
app01-4642	74	33	l	l	NOUN
app01-4642	74	34	0	0	PUNCT
app01-4642	75	1	(	(	PUNCT
app01-4642	75	2	g′(x))2dx	g′(x))2dx	PROPN
app01-4642	75	3	,	,	PUNCT
app01-4642	75	4	(	(	PUNCT
app01-4642	75	5	16	16	X
app01-4642	75	6	)	)	PUNCT
app01-4642	75	7	geometry	geometry	NOUN
app01-4642	75	8	length	length	NOUN
app01-4642	75	9	l	l	PROPN
app01-4642	75	10	=	=	SYM
app01-4642	75	11	1	1	NUM
app01-4642	75	12	m	m	NOUN
app01-4642	75	13	width	width	NOUN
app01-4642	75	14	b	b	NOUN
app01-4642	75	15	=	=	SYM
app01-4642	75	16	0.1	0.1	NUM
app01-4642	75	17	m	m	NOUN
app01-4642	75	18	thicknesses	thickness	NOUN
app01-4642	75	19	of	of	ADP
app01-4642	75	20	glass	glass	NOUN
app01-4642	75	21	h1	h1	NOUN
app01-4642	75	22	=	=	PUNCT
app01-4642	75	23	h3	h3	NOUN
app01-4642	75	24	=	=	SYM
app01-4642	75	25	10	10	NUM
app01-4642	75	26	mm	mm	NOUN
app01-4642	75	27	thickness	thickness	NOUN
app01-4642	75	28	of	of	ADP
app01-4642	75	29	interlayer	interlayer	NOUN
app01-4642	75	30	h2	h2	PROPN
app01-4642	75	31	=	=	PROPN
app01-4642	75	32	1.52	1.52	NUM
app01-4642	75	33	mm	mm	NOUN
app01-4642	75	34	glass	glass	NOUN
app01-4642	75	35	density	density	NOUN
app01-4642	75	36	ρ1	ρ1	NOUN
app01-4642	75	37	=	=	SYM
app01-4642	75	38	ρ3	ρ3	NOUN
app01-4642	75	39	=	=	SYM
app01-4642	75	40	2500	2500	NUM
app01-4642	75	41	kg	kg	NOUN
app01-4642	75	42	/	/	SYM
app01-4642	75	43	m3	m3	PROPN
app01-4642	75	44	poisson	poisson	PROPN
app01-4642	75	45	’s	’s	PART
app01-4642	75	46	ratio	ratio	NOUN
app01-4642	75	47	ν1	ν1	NOUN
app01-4642	75	48	=	=	NOUN
app01-4642	75	49	ν3	ν3	NOUN
app01-4642	75	50	=	=	SYM
app01-4642	75	51	0.22	0.22	NUM
app01-4642	75	52	young	young	ADJ
app01-4642	75	53	’s	’s	PART
app01-4642	75	54	modulus	modulus	NOUN
app01-4642	75	55	e1	e1	NOUN
app01-4642	75	56	=	=	SYM
app01-4642	75	57	e3	e3	NOUN
app01-4642	75	58	=	=	SYM
app01-4642	75	59	72	72	NUM
app01-4642	75	60	gpa	gpa	PROPN
app01-4642	75	61	interlayer	interlayer	NOUN
app01-4642	75	62	density	density	NOUN
app01-4642	75	63	ρ2	ρ2	PROPN
app01-4642	75	64	=	=	SYM
app01-4642	75	65	1100	1100	NUM
app01-4642	75	66	kg	kg	NOUN
app01-4642	75	67	/	/	SYM
app01-4642	75	68	m3	m3	PROPN
app01-4642	75	69	poisson	poisson	PROPN
app01-4642	75	70	’s	’s	PART
app01-4642	75	71	ratio	ratio	NOUN
app01-4642	75	72	ν2	ν2	NOUN
app01-4642	75	73	=	=	SYM
app01-4642	75	74	0.49	0.49	NUM
app01-4642	75	75	prony	prony	ADJ
app01-4642	75	76	series	series	NOUN
app01-4642	75	77	for	for	SCONJ
app01-4642	75	78	gmm	gmm	PRON
app01-4642	75	79	taken	take	VERB
app01-4642	75	80	from	from	ADP
app01-4642	75	81	[	[	X
app01-4642	75	82	3	3	NUM
app01-4642	75	83	]	]	ADJ
app01-4642	75	84	table	table	NOUN
app01-4642	75	85	1	1	NUM
app01-4642	75	86	.	.	PUNCT
app01-4642	76	1	the	the	DET
app01-4642	76	2	properties	property	NOUN
app01-4642	76	3	of	of	ADP
app01-4642	76	4	laminated	laminated	ADJ
app01-4642	76	5	glass	glass	NOUN
app01-4642	76	6	beams	beam	NOUN
app01-4642	76	7	(	(	PUNCT
app01-4642	76	8	gmm	gmm	X
app01-4642	76	9	–	–	PUNCT
app01-4642	76	10	generalized	generalize	VERB
app01-4642	76	11	maxwell	maxwell	PROPN
app01-4642	76	12	model	model	PROPN
app01-4642	76	13	)	)	PUNCT
app01-4642	76	14	.	.	PUNCT
app01-4642	77	1	where	where	SCONJ
app01-4642	77	2	the	the	DET
app01-4642	77	3	deflection	deflection	NOUN
app01-4642	77	4	curve	curve	NOUN
app01-4642	77	5	is	be	AUX
app01-4642	77	6	represented	represent	VERB
app01-4642	77	7	by	by	ADP
app01-4642	77	8	the	the	DET
app01-4642	77	9	function	function	NOUN
app01-4642	77	10	g(x	g(x	PROPN
app01-4642	77	11	)	)	PUNCT
app01-4642	77	12	,	,	PUNCT
app01-4642	77	13	which	which	PRON
app01-4642	77	14	describes	describe	VERB
app01-4642	77	15	the	the	DET
app01-4642	77	16	shape	shape	NOUN
app01-4642	77	17	of	of	ADP
app01-4642	77	18	the	the	DET
app01-4642	77	19	curve	curve	NOUN
app01-4642	77	20	regardless	regardless	ADV
app01-4642	77	21	of	of	ADP
app01-4642	77	22	the	the	DET
app01-4642	77	23	stiffness	stiffness	NOUN
app01-4642	77	24	of	of	ADP
app01-4642	77	25	the	the	DET
app01-4642	77	26	beam	beam	NOUN
app01-4642	77	27	.	.	PUNCT
app01-4642	78	1	this	this	DET
app01-4642	78	2	deflection	deflection	NOUN
app01-4642	78	3	-	-	PUNCT
app01-4642	78	4	effective	effective	ADJ
app01-4642	78	5	thickness	thickness	NOUN
app01-4642	78	6	was	be	AUX
app01-4642	78	7	derived	derive	VERB
app01-4642	78	8	by	by	ADP
app01-4642	78	9	minimization	minimization	NOUN
app01-4642	78	10	of	of	ADP
app01-4642	78	11	the	the	DET
app01-4642	78	12	strain	strain	ADJ
app01-4642	78	13	energy	energy	NOUN
app01-4642	78	14	functional	functional	ADJ
app01-4642	78	15	for	for	ADP
app01-4642	78	16	a	a	DET
app01-4642	78	17	laminated	laminate	VERB
app01-4642	78	18	glass	glass	NOUN
app01-4642	78	19	beam	beam	NOUN
app01-4642	78	20	in	in	ADP
app01-4642	78	21	bending	bend	VERB
app01-4642	78	22	under	under	ADP
app01-4642	78	23	static	static	ADJ
app01-4642	78	24	loading	loading	NOUN
app01-4642	78	25	.	.	PUNCT
app01-4642	79	1	for	for	ADP
app01-4642	79	2	its	its	PRON
app01-4642	79	3	use	use	NOUN
app01-4642	79	4	in	in	ADP
app01-4642	79	5	modal	modal	ADJ
app01-4642	79	6	analysis	analysis	NOUN
app01-4642	79	7	,	,	PUNCT
app01-4642	79	8	we	we	PRON
app01-4642	79	9	made	make	VERB
app01-4642	79	10	just	just	ADV
app01-4642	79	11	two	two	NUM
app01-4642	79	12	intuitive	intuitive	ADJ
app01-4642	79	13	adjustments	adjustment	NOUN
app01-4642	79	14	of	of	ADP
app01-4642	79	15	this	this	DET
app01-4642	79	16	method	method	NOUN
app01-4642	79	17	:	:	PUNCT
app01-4642	79	18	(	(	PUNCT
app01-4642	79	19	1	1	NUM
app01-4642	79	20	.	.	PUNCT
app01-4642	79	21	)	)	PUNCT
app01-4642	80	1	we	we	PRON
app01-4642	80	2	used	use	VERB
app01-4642	80	3	the	the	DET
app01-4642	80	4	complex	complex	ADV
app01-4642	80	5	-	-	PUNCT
app01-4642	80	6	valued	value	VERB
app01-4642	80	7	interlayer	interlayer	NOUN
app01-4642	80	8	shear	shear	NOUN
app01-4642	80	9	modulus	modulus	NOUN
app01-4642	80	10	g2(ω	g2(ω	NOUN
app01-4642	80	11	)	)	PUNCT
app01-4642	80	12	in	in	ADP
app01-4642	80	13	eq	eq	ADP
app01-4642	80	14	.	.	PUNCT
app01-4642	81	1	(	(	PUNCT
app01-4642	81	2	15	15	NUM
app01-4642	81	3	)	)	PUNCT
app01-4642	81	4	.	.	PUNCT
app01-4642	82	1	(	(	PUNCT
app01-4642	82	2	2	2	NUM
app01-4642	82	3	.	.	NUM
app01-4642	82	4	)	)	PUNCT
app01-4642	83	1	we	we	PRON
app01-4642	83	2	replaced	replace	VERB
app01-4642	83	3	the	the	DET
app01-4642	83	4	shape	shape	NOUN
app01-4642	83	5	function	function	NOUN
app01-4642	83	6	of	of	ADP
app01-4642	83	7	the	the	DET
app01-4642	83	8	deflection	deflection	NOUN
app01-4642	83	9	under	under	ADP
app01-4642	83	10	static	static	ADJ
app01-4642	83	11	loading	loading	NOUN
app01-4642	83	12	in	in	ADP
app01-4642	83	13	eq	eq	ADP
app01-4642	83	14	.	.	PUNCT
app01-4642	84	1	(	(	PUNCT
app01-4642	84	2	16	16	NUM
app01-4642	84	3	)	)	PUNCT
app01-4642	84	4	with	with	ADP
app01-4642	84	5	the	the	DET
app01-4642	84	6	one	one	NUM
app01-4642	84	7	corresponding	corresponding	NOUN
app01-4642	84	8	to	to	ADP
app01-4642	84	9	the	the	DET
app01-4642	84	10	n	n	ADV
app01-4642	84	11	-	-	PUNCT
app01-4642	84	12	th	th	VERB
app01-4642	84	13	mode	mode	NOUN
app01-4642	84	14	shape	shape	NOUN
app01-4642	84	15	of	of	ADP
app01-4642	84	16	a	a	DET
app01-4642	84	17	monolithic	monolithic	ADJ
app01-4642	84	18	beam	beam	NOUN
app01-4642	84	19	under	under	ADP
app01-4642	84	20	given	give	VERB
app01-4642	84	21	boundary	boundary	ADJ
app01-4642	84	22	conditions	condition	NOUN
app01-4642	84	23	.	.	PUNCT
app01-4642	85	1	this	this	DET
app01-4642	85	2	adjustment	adjustment	NOUN
app01-4642	85	3	leads	lead	VERB
app01-4642	85	4	to	to	ADP
app01-4642	85	5	a	a	DET
app01-4642	85	6	complex	complex	ADJ
app01-4642	85	7	effective	effective	ADJ
app01-4642	85	8	thickness	thickness	NOUN
app01-4642	85	9	in	in	ADP
app01-4642	85	10	eq	eq	ADP
app01-4642	85	11	.	.	PUNCT
app01-4642	86	1	(	(	PUNCT
app01-4642	86	2	13	13	NUM
app01-4642	86	3	)	)	PUNCT
app01-4642	86	4	,	,	PUNCT
app01-4642	86	5	similarly	similarly	ADV
app01-4642	86	6	to	to	ADP
app01-4642	86	7	the	the	DET
app01-4642	86	8	det	det	PROPN
app01-4642	86	9	approach	approach	NOUN
app01-4642	86	10	.	.	PUNCT
app01-4642	87	1	for	for	ADP
app01-4642	87	2	the	the	DET
app01-4642	87	3	evaluation	evaluation	NOUN
app01-4642	87	4	of	of	ADP
app01-4642	87	5	the	the	DET
app01-4642	87	6	natural	natural	ADJ
app01-4642	87	7	frequencies	frequency	NOUN
app01-4642	87	8	and	and	CCONJ
app01-4642	87	9	the	the	DET
app01-4642	87	10	damping	damping	NOUN
app01-4642	87	11	,	,	PUNCT
app01-4642	87	12	we	we	PRON
app01-4642	87	13	again	again	ADV
app01-4642	87	14	use	use	VERB
app01-4642	87	15	eq	eq	NOUN
app01-4642	87	16	.	.	PUNCT
app01-4642	88	1	(	(	PUNCT
app01-4642	88	2	4	4	NUM
app01-4642	88	3	)	)	PUNCT
app01-4642	88	4	.	.	PUNCT
app01-4642	89	1	3	3	X
app01-4642	89	2	.	.	X
app01-4642	89	3	comparison	comparison	NOUN
app01-4642	89	4	of	of	ADP
app01-4642	89	5	methods	method	NOUN
app01-4642	89	6	3.1	3.1	NUM
app01-4642	89	7	.	.	PUNCT
app01-4642	90	1	examples	example	NOUN
app01-4642	90	2	in	in	ADP
app01-4642	90	3	this	this	DET
app01-4642	90	4	section	section	NOUN
app01-4642	90	5	,	,	PUNCT
app01-4642	90	6	we	we	PRON
app01-4642	90	7	discuss	discuss	VERB
app01-4642	90	8	the	the	DET
app01-4642	90	9	applicability	applicability	NOUN
app01-4642	90	10	of	of	ADP
app01-4642	90	11	effective	effective	ADJ
app01-4642	90	12	thickness	thickness	NOUN
app01-4642	90	13	approaches	approach	NOUN
app01-4642	90	14	in	in	ADP
app01-4642	90	15	modal	modal	ADJ
app01-4642	90	16	analysis	analysis	NOUN
app01-4642	90	17	and	and	CCONJ
app01-4642	90	18	how	how	SCONJ
app01-4642	90	19	our	our	PRON
app01-4642	90	20	adjustment	adjustment	NOUN
app01-4642	90	21	changes	change	VERB
app01-4642	90	22	the	the	DET
app01-4642	90	23	errors	error	NOUN
app01-4642	90	24	of	of	ADP
app01-4642	90	25	the	the	DET
app01-4642	90	26	method	method	NOUN
app01-4642	90	27	.	.	PUNCT
app01-4642	91	1	the	the	DET
app01-4642	91	2	comparison	comparison	NOUN
app01-4642	91	3	is	be	AUX
app01-4642	91	4	provided	provide	VERB
app01-4642	91	5	for	for	ADP
app01-4642	91	6	three	three	NUM
app01-4642	91	7	types	type	NOUN
app01-4642	91	8	of	of	ADP
app01-4642	91	9	boundary	boundary	ADJ
app01-4642	91	10	conditions	condition	NOUN
app01-4642	91	11	:	:	PUNCT
app01-4642	91	12	simply	simply	ADV
app01-4642	91	13	-	-	PUNCT
app01-4642	91	14	supported	support	VERB
app01-4642	91	15	,	,	PUNCT
app01-4642	91	16	fixed	fix	VERB
app01-4642	91	17	-	-	PUNCT
app01-4642	91	18	fixed	fix	VERB
app01-4642	91	19	,	,	PUNCT
app01-4642	91	20	and	and	CCONJ
app01-4642	91	21	free	free	ADV
app01-4642	91	22	-	-	PUNCT
app01-4642	91	23	free	free	ADJ
app01-4642	91	24	.	.	PUNCT
app01-4642	91	25	111	111	NUM
app01-4642	91	26	j.	j.	PROPN
app01-4642	91	27	schmidt	schmidt	PROPN
app01-4642	91	28	,	,	PUNCT
app01-4642	91	29	a.	a.	NOUN
app01-4642	91	30	zemanová	zemanová	PROPN
app01-4642	91	31	,	,	PUNCT
app01-4642	92	1	t.	t.	PROPN
app01-4642	92	2	janda	janda	PROPN
app01-4642	92	3	et	et	PROPN
app01-4642	92	4	al	al	PROPN
app01-4642	92	5	.	.	PROPN
app01-4642	93	1	acta	acta	PROPN
app01-4642	93	2	polytechnica	polytechnica	PROPN
app01-4642	93	3	ctu	ctu	PROPN
app01-4642	93	4	proceedings	proceeding	NOUN
app01-4642	93	5	mode	mode	VERB
app01-4642	93	6	shape	shape	NOUN
app01-4642	93	7	functions	function	NOUN
app01-4642	93	8	simply	simply	ADV
app01-4642	93	9	-	-	PUNCT
app01-4642	93	10	supported	support	VERB
app01-4642	93	11	beam	beam	NOUN
app01-4642	93	12	g(x	g(x	NOUN
app01-4642	93	13	)	)	PUNCT
app01-4642	94	1	=	=	VERB
app01-4642	94	2	sin	sin	NOUN
app01-4642	94	3	nπx	nπx	NOUN
app01-4642	94	4	l	l	NOUN
app01-4642	94	5	fixed	fix	VERB
app01-4642	94	6	-	-	PUNCT
app01-4642	94	7	fixed	fix	VERB
app01-4642	94	8	beam	beam	NOUN
app01-4642	94	9	g(x	g(x	NOUN
app01-4642	94	10	)	)	PUNCT
app01-4642	95	1	=	=	VERB
app01-4642	95	2	cosh	cosh	PROPN
app01-4642	95	3	βnx−	βnx−	SYM
app01-4642	95	4	cosβnx−	cosβnx−	PROPN
app01-4642	95	5	sinh	sinh	PROPN
app01-4642	95	6	βnl	βnl	PROPN
app01-4642	96	1	+	+	CCONJ
app01-4642	96	2	sin	sin	NOUN
app01-4642	96	3	βnl	βnl	NOUN
app01-4642	96	4	cosh	cosh	PROPN
app01-4642	96	5	βnl	βnl	NOUN
app01-4642	97	1	−	−	PROPN
app01-4642	97	2	cosβnl	cosβnl	NOUN
app01-4642	97	3	(	(	PUNCT
app01-4642	97	4	sinh	sinh	NOUN
app01-4642	97	5	βnx−	βnx−	PUNCT
app01-4642	97	6	sin	sin	NOUN
app01-4642	97	7	βnx	βnx	NOUN
app01-4642	97	8	)	)	PUNCT
app01-4642	97	9	free	free	ADJ
app01-4642	97	10	-	-	PUNCT
app01-4642	97	11	free	free	ADJ
app01-4642	97	12	beam	beam	NOUN
app01-4642	97	13	g(x	g(x	NOUN
app01-4642	97	14	)	)	PUNCT
app01-4642	98	1	=	=	VERB
app01-4642	98	2	sinh	sinh	NOUN
app01-4642	98	3	βnx+	βnx+	PROPN
app01-4642	98	4	sin	sin	NOUN
app01-4642	98	5	βnx−	βnx−	ADV
app01-4642	98	6	sinh	sinh	VERB
app01-4642	98	7	βnl	βnl	NOUN
app01-4642	98	8	−	−	PROPN
app01-4642	98	9	sin	sin	NOUN
app01-4642	98	10	βnl	βnl	PROPN
app01-4642	98	11	cosh	cosh	PROPN
app01-4642	99	1	βnl	βnl	NOUN
app01-4642	99	2	−	−	PROPN
app01-4642	99	3	cosβnl	cosβnl	NOUN
app01-4642	99	4	(	(	PUNCT
app01-4642	99	5	cosh	cosh	PROPN
app01-4642	99	6	βnx+	βnx+	ADJ
app01-4642	99	7	cosβnx	cosβnx	NOUN
app01-4642	99	8	)	)	PUNCT
app01-4642	99	9	table	table	NOUN
app01-4642	99	10	2	2	NUM
app01-4642	99	11	.	.	PUNCT
app01-4642	100	1	the	the	DET
app01-4642	100	2	overview	overview	NOUN
app01-4642	100	3	of	of	ADP
app01-4642	100	4	the	the	DET
app01-4642	100	5	n	n	ADV
app01-4642	100	6	-	-	PUNCT
app01-4642	100	7	th	th	VERB
app01-4642	100	8	mode	mode	NOUN
app01-4642	100	9	shape	shape	NOUN
app01-4642	100	10	functions	function	NOUN
app01-4642	100	11	for	for	ADP
app01-4642	100	12	the	the	DET
app01-4642	100	13	coordinate	coordinate	NOUN
app01-4642	100	14	x	x	PUNCT
app01-4642	100	15	∈	∈	PROPN
app01-4642	100	16	〈	〈	PROPN
app01-4642	100	17	0	0	NUM
app01-4642	100	18	,	,	PUNCT
app01-4642	100	19	l	l	NOUN
app01-4642	100	20	〉	〉	NOUN
app01-4642	100	21	for	for	ADP
app01-4642	100	22	a	a	DET
app01-4642	100	23	simply	simply	ADV
app01-4642	100	24	-	-	PUNCT
app01-4642	100	25	supported	support	VERB
app01-4642	100	26	,	,	PUNCT
app01-4642	100	27	fixed	fix	VERB
app01-4642	100	28	-	-	PUNCT
app01-4642	100	29	fixed	fix	VERB
app01-4642	100	30	,	,	PUNCT
app01-4642	100	31	and	and	CCONJ
app01-4642	100	32	free	free	ADJ
app01-4642	100	33	-	-	PUNCT
app01-4642	100	34	free	free	ADJ
app01-4642	100	35	beam	beam	NOUN
app01-4642	100	36	.	.	PUNCT
app01-4642	101	1	(	(	PUNCT
app01-4642	101	2	the	the	DET
app01-4642	101	3	products	product	NOUN
app01-4642	101	4	of	of	ADP
app01-4642	101	5	the	the	DET
app01-4642	101	6	wavenumbers	wavenumber	NOUN
app01-4642	101	7	and	and	CCONJ
app01-4642	101	8	the	the	DET
app01-4642	101	9	beam	beam	NOUN
app01-4642	101	10	length	length	PROPN
app01-4642	101	11	βnl	βnl	PROPN
app01-4642	101	12	for	for	ADP
app01-4642	101	13	the	the	DET
app01-4642	101	14	first	first	ADJ
app01-4642	101	15	three	three	NUM
app01-4642	101	16	modes	mode	NOUN
app01-4642	101	17	are	be	AUX
app01-4642	101	18	β1l	β1l	NUM
app01-4642	101	19	=	=	SYM
app01-4642	101	20	4.7300	4.7300	NUM
app01-4642	101	21	,	,	PUNCT
app01-4642	101	22	β2l	β2l	PUNCT
app01-4642	101	23	=	=	SYM
app01-4642	101	24	7.8532	7.8532	NUM
app01-4642	101	25	,	,	PUNCT
app01-4642	101	26	and	and	CCONJ
app01-4642	101	27	β3l	β3l	X
app01-4642	101	28	=	=	SYM
app01-4642	101	29	10.996	10.996	NUM
app01-4642	101	30	.	.	PUNCT
app01-4642	101	31	)	)	PUNCT
app01-4642	102	1	the	the	DET
app01-4642	102	2	geometry	geometry	NOUN
app01-4642	102	3	and	and	CCONJ
app01-4642	102	4	the	the	DET
app01-4642	102	5	material	material	NOUN
app01-4642	102	6	properties	property	NOUN
app01-4642	102	7	of	of	ADP
app01-4642	102	8	glass	glass	NOUN
app01-4642	102	9	and	and	CCONJ
app01-4642	102	10	interlayer	interlayer	NOUN
app01-4642	102	11	appear	appear	VERB
app01-4642	102	12	in	in	ADP
app01-4642	102	13	table	table	NOUN
app01-4642	102	14	1	1	NUM
app01-4642	102	15	.	.	PUNCT
app01-4642	103	1	whereas	whereas	SCONJ
app01-4642	103	2	glass	glass	NOUN
app01-4642	103	3	is	be	AUX
app01-4642	103	4	treated	treat	VERB
app01-4642	103	5	as	as	ADP
app01-4642	103	6	an	an	DET
app01-4642	103	7	elastic	elastic	ADJ
app01-4642	103	8	material	material	NOUN
app01-4642	103	9	,	,	PUNCT
app01-4642	103	10	the	the	DET
app01-4642	103	11	viscoelastic	viscoelastic	ADJ
app01-4642	103	12	behavior	behavior	NOUN
app01-4642	103	13	of	of	ADP
app01-4642	103	14	polymer	polymer	NOUN
app01-4642	103	15	,	,	PUNCT
app01-4642	103	16	which	which	PRON
app01-4642	103	17	is	be	AUX
app01-4642	103	18	in	in	ADP
app01-4642	103	19	our	our	PRON
app01-4642	103	20	case	case	NOUN
app01-4642	103	21	polyvinyl	polyvinyl	NOUN
app01-4642	103	22	butyral	butyral	ADJ
app01-4642	103	23	(	(	PUNCT
app01-4642	103	24	pvb	pvb	PROPN
app01-4642	103	25	)	)	PUNCT
app01-4642	103	26	,	,	PUNCT
app01-4642	103	27	is	be	AUX
app01-4642	103	28	described	describe	VERB
app01-4642	103	29	using	use	VERB
app01-4642	103	30	a	a	DET
app01-4642	103	31	generalized	generalized	ADJ
app01-4642	103	32	maxwell	maxwell	NOUN
app01-4642	103	33	model	model	NOUN
app01-4642	103	34	,	,	PUNCT
app01-4642	103	35	whose	whose	DET
app01-4642	103	36	parameters	parameter	NOUN
app01-4642	103	37	are	be	AUX
app01-4642	103	38	taken	take	VERB
app01-4642	103	39	from	from	ADP
app01-4642	103	40	[	[	X
app01-4642	103	41	3	3	NUM
app01-4642	103	42	]	]	PUNCT
app01-4642	103	43	.	.	PUNCT
app01-4642	104	1	due	due	ADP
app01-4642	104	2	to	to	ADP
app01-4642	104	3	the	the	DET
app01-4642	104	4	temperature	temperature	NOUN
app01-4642	104	5	-	-	PUNCT
app01-4642	104	6	sensitiveness	sensitiveness	NOUN
app01-4642	104	7	of	of	ADP
app01-4642	104	8	pvb	pvb	NOUN
app01-4642	104	9	,	,	PUNCT
app01-4642	104	10	two	two	NUM
app01-4642	104	11	different	different	ADJ
app01-4642	104	12	ambient	ambient	ADJ
app01-4642	104	13	temperatures	temperature	NOUN
app01-4642	104	14	were	be	AUX
app01-4642	104	15	assumed	assume	VERB
app01-4642	104	16	–	–	PUNCT
app01-4642	104	17	the	the	DET
app01-4642	104	18	room	room	NOUN
app01-4642	104	19	temperature	temperature	NOUN
app01-4642	104	20	25	25	NUM
app01-4642	104	21	◦	◦	NOUN
app01-4642	104	22	c	c	NOUN
app01-4642	104	23	and	and	CCONJ
app01-4642	104	24	the	the	DET
app01-4642	104	25	temperature	temperature	NOUN
app01-4642	104	26	50	50	NUM
app01-4642	104	27	◦	◦	NOUN
app01-4642	104	28	c	c	NOUN
app01-4642	104	29	corresponding	correspond	VERB
app01-4642	104	30	to	to	ADP
app01-4642	104	31	an	an	DET
app01-4642	104	32	external	external	ADJ
app01-4642	104	33	panel	panel	NOUN
app01-4642	104	34	under	under	ADP
app01-4642	104	35	summer	summer	NOUN
app01-4642	104	36	sunlight	sunlight	NOUN
app01-4642	104	37	.	.	PUNCT
app01-4642	105	1	3.2	3.2	NUM
app01-4642	105	2	.	.	PUNCT
app01-4642	105	3	evaluation	evaluation	NOUN
app01-4642	105	4	of	of	ADP
app01-4642	105	5	shape	shape	NOUN
app01-4642	105	6	coefficients	coefficient	NOUN
app01-4642	105	7	recall	recall	VERB
app01-4642	105	8	that	that	SCONJ
app01-4642	105	9	our	our	PRON
app01-4642	105	10	extension	extension	NOUN
app01-4642	105	11	of	of	ADP
app01-4642	105	12	the	the	DET
app01-4642	105	13	enhanced	enhanced	ADJ
app01-4642	105	14	effective	effective	ADJ
app01-4642	105	15	thickness	thickness	NOUN
app01-4642	105	16	approach	approach	NOUN
app01-4642	105	17	[	[	X
app01-4642	105	18	7	7	X
app01-4642	105	19	]	]	PUNCT
app01-4642	105	20	to	to	ADP
app01-4642	105	21	the	the	DET
app01-4642	105	22	modal	modal	ADJ
app01-4642	105	23	analysis	analysis	NOUN
app01-4642	105	24	of	of	ADP
app01-4642	105	25	laminated	laminated	ADJ
app01-4642	105	26	glass	glass	NOUN
app01-4642	105	27	beams	beam	NOUN
app01-4642	105	28	requires	require	VERB
app01-4642	105	29	the	the	DET
app01-4642	105	30	evaluation	evaluation	NOUN
app01-4642	105	31	of	of	ADP
app01-4642	105	32	the	the	DET
app01-4642	105	33	shape	shape	NOUN
app01-4642	105	34	coefficients	coefficient	VERB
app01-4642	105	35	ψ	ψ	ADP
app01-4642	105	36	according	accord	VERB
app01-4642	105	37	eq	eq	ADP
app01-4642	105	38	.	.	PUNCT
app01-4642	106	1	(	(	PUNCT
app01-4642	106	2	16	16	NUM
app01-4642	106	3	)	)	PUNCT
app01-4642	106	4	.	.	PUNCT
app01-4642	107	1	for	for	ADP
app01-4642	107	2	these	these	DET
app01-4642	107	3	coefficients	coefficient	NOUN
app01-4642	107	4	,	,	PUNCT
app01-4642	107	5	we	we	PRON
app01-4642	107	6	need	need	VERB
app01-4642	107	7	mode	mode	NOUN
app01-4642	107	8	shape	shape	NOUN
app01-4642	107	9	functions	function	NOUN
app01-4642	107	10	corresponding	correspond	VERB
app01-4642	107	11	to	to	ADP
app01-4642	107	12	the	the	DET
app01-4642	107	13	three	three	NUM
app01-4642	107	14	given	give	VERB
app01-4642	107	15	boundary	boundary	ADJ
app01-4642	107	16	conditions	condition	NOUN
app01-4642	107	17	.	.	PUNCT
app01-4642	108	1	their	their	PRON
app01-4642	108	2	overview	overview	NOUN
app01-4642	108	3	taken	take	VERB
app01-4642	108	4	from	from	ADP
app01-4642	108	5	[	[	X
app01-4642	108	6	11	11	NUM
app01-4642	108	7	]	]	PUNCT
app01-4642	108	8	is	be	AUX
app01-4642	108	9	shown	show	VERB
app01-4642	108	10	in	in	ADP
app01-4642	108	11	table	table	NOUN
app01-4642	108	12	2	2	NUM
app01-4642	108	13	.	.	PUNCT
app01-4642	109	1	for	for	ADP
app01-4642	109	2	a	a	DET
app01-4642	109	3	simplysupported	simplysupporte	VERB
app01-4642	109	4	beam	beam	NOUN
app01-4642	109	5	,	,	PUNCT
app01-4642	109	6	one	one	NUM
app01-4642	109	7	closed	closed	ADJ
app01-4642	109	8	-	-	PUNCT
app01-4642	109	9	form	form	NOUN
app01-4642	109	10	expression	expression	NOUN
app01-4642	109	11	can	can	AUX
app01-4642	109	12	be	be	AUX
app01-4642	109	13	written	write	VERB
app01-4642	109	14	for	for	ADP
app01-4642	109	15	all	all	DET
app01-4642	109	16	mode	mode	NOUN
app01-4642	109	17	shape	shape	NOUN
app01-4642	109	18	functions	function	NOUN
app01-4642	109	19	;	;	PUNCT
app01-4642	109	20	however	however	ADV
app01-4642	109	21	,	,	PUNCT
app01-4642	109	22	the	the	DET
app01-4642	109	23	formulas	formula	NOUN
app01-4642	109	24	for	for	ADP
app01-4642	109	25	the	the	DET
app01-4642	109	26	other	other	ADJ
app01-4642	109	27	boundary	boundary	ADJ
app01-4642	109	28	conditions	condition	NOUN
app01-4642	109	29	are	be	AUX
app01-4642	109	30	more	more	ADV
app01-4642	109	31	involved	involved	ADJ
app01-4642	109	32	and	and	CCONJ
app01-4642	109	33	contain	contain	VERB
app01-4642	109	34	a	a	DET
app01-4642	109	35	product	product	NOUN
app01-4642	109	36	of	of	ADP
app01-4642	109	37	the	the	DET
app01-4642	109	38	wavenumbers	wavenumber	NOUN
app01-4642	109	39	βn	βn	ADJ
app01-4642	109	40	and	and	CCONJ
app01-4642	109	41	the	the	DET
app01-4642	109	42	beam	beam	NOUN
app01-4642	109	43	length	length	PROPN
app01-4642	109	44	l	l	PROPN
app01-4642	109	45	that	that	PRON
app01-4642	109	46	needs	need	VERB
app01-4642	109	47	to	to	PART
app01-4642	109	48	be	be	AUX
app01-4642	109	49	evaluated	evaluate	VERB
app01-4642	109	50	numerically	numerically	ADV
app01-4642	109	51	from	from	ADP
app01-4642	109	52	a	a	DET
app01-4642	109	53	characteristic	characteristic	ADJ
app01-4642	109	54	equation	equation	NOUN
app01-4642	109	55	for	for	ADP
app01-4642	109	56	free	free	ADJ
app01-4642	109	57	vibrations	vibration	NOUN
app01-4642	109	58	[	[	X
app01-4642	109	59	11	11	NUM
app01-4642	109	60	]	]	PUNCT
app01-4642	109	61	.	.	PUNCT
app01-4642	110	1	then	then	ADV
app01-4642	110	2	,	,	PUNCT
app01-4642	110	3	we	we	PRON
app01-4642	110	4	used	use	VERB
app01-4642	110	5	the	the	DET
app01-4642	110	6	integral	integral	ADJ
app01-4642	110	7	formula	formula	NOUN
app01-4642	110	8	eq	eq	ADP
app01-4642	110	9	.	.	PUNCT
app01-4642	111	1	(	(	PUNCT
app01-4642	111	2	16	16	NUM
app01-4642	111	3	)	)	PUNCT
app01-4642	111	4	and	and	CCONJ
app01-4642	111	5	evaluated	evaluate	VERB
app01-4642	111	6	,	,	PUNCT
app01-4642	111	7	for	for	ADP
app01-4642	111	8	all	all	DET
app01-4642	111	9	boundary	boundary	ADJ
app01-4642	111	10	conditions	condition	NOUN
app01-4642	111	11	,	,	PUNCT
app01-4642	111	12	the	the	DET
app01-4642	111	13	shape	shape	NOUN
app01-4642	111	14	coefficients	coefficient	VERB
app01-4642	111	15	ψ	ψ	VERB
app01-4642	111	16	summarized	summarize	VERB
app01-4642	111	17	in	in	ADP
app01-4642	111	18	table	table	NOUN
app01-4642	111	19	3	3	NUM
app01-4642	111	20	using	use	VERB
app01-4642	111	21	the	the	DET
app01-4642	111	22	mode	mode	NOUN
app01-4642	111	23	shape	shape	NOUN
app01-4642	111	24	functions	function	NOUN
app01-4642	111	25	for	for	ADP
app01-4642	111	26	a	a	DET
app01-4642	111	27	monolithic	monolithic	ADJ
app01-4642	111	28	euler	euler	NOUN
app01-4642	111	29	-	-	PUNCT
app01-4642	111	30	bernoulli	bernoulli	NOUN
app01-4642	111	31	beam	beam	NOUN
app01-4642	111	32	from	from	ADP
app01-4642	111	33	table	table	NOUN
app01-4642	111	34	2	2	NUM
app01-4642	111	35	.	.	PUNCT
app01-4642	111	36	with	with	ADP
app01-4642	111	37	these	these	DET
app01-4642	111	38	results	result	NOUN
app01-4642	111	39	at	at	ADP
app01-4642	111	40	hand	hand	NOUN
app01-4642	111	41	,	,	PUNCT
app01-4642	111	42	we	we	PRON
app01-4642	111	43	can	can	AUX
app01-4642	111	44	calculate	calculate	VERB
app01-4642	111	45	the	the	DET
app01-4642	111	46	complex	complex	ADJ
app01-4642	111	47	enhanced	enhance	VERB
app01-4642	111	48	effective	effective	ADJ
app01-4642	111	49	thickness	thickness	NOUN
app01-4642	111	50	and	and	CCONJ
app01-4642	111	51	subsequently	subsequently	ADV
app01-4642	111	52	the	the	DET
app01-4642	111	53	natural	natural	ADJ
app01-4642	111	54	frequencies	frequency	NOUN
app01-4642	111	55	and	and	CCONJ
app01-4642	111	56	the	the	DET
app01-4642	111	57	loss	loss	NOUN
app01-4642	111	58	factors	factor	NOUN
app01-4642	111	59	for	for	ADP
app01-4642	111	60	our	our	PRON
app01-4642	111	61	comparison	comparison	NOUN
app01-4642	111	62	.	.	PUNCT
app01-4642	112	1	3.3	3.3	NUM
app01-4642	112	2	.	.	PUNCT
app01-4642	112	3	results	result	NOUN
app01-4642	112	4	and	and	CCONJ
app01-4642	112	5	discussion	discussion	NOUN
app01-4642	112	6	in	in	ADP
app01-4642	112	7	this	this	DET
app01-4642	112	8	section	section	NOUN
app01-4642	112	9	,	,	PUNCT
app01-4642	112	10	the	the	DET
app01-4642	112	11	results	result	NOUN
app01-4642	112	12	obtained	obtain	VERB
app01-4642	112	13	by	by	ADP
app01-4642	112	14	the	the	DET
app01-4642	112	15	reference	reference	NOUN
app01-4642	112	16	method	method	NOUN
app01-4642	112	17	(	(	PUNCT
app01-4642	112	18	rm	rm	PROPN
app01-4642	112	19	)	)	PUNCT
app01-4642	112	20	,	,	PUNCT
app01-4642	112	21	the	the	DET
app01-4642	112	22	effective	effective	ADJ
app01-4642	112	23	thickness	thickness	NOUN
app01-4642	112	24	approaches	approach	NOUN
app01-4642	112	25	from	from	ADP
app01-4642	112	26	[	[	X
app01-4642	112	27	6	6	NUM
app01-4642	112	28	]	]	PUNCT
app01-4642	112	29	(	(	PUNCT
app01-4642	112	30	det	det	PROPN
app01-4642	112	31	)	)	PUNCT
app01-4642	112	32	or	or	CCONJ
app01-4642	112	33	from	from	ADP
app01-4642	112	34	[	[	X
app01-4642	112	35	7	7	NUM
app01-4642	112	36	]	]	X
app01-4642	112	37	(	(	PUNCT
app01-4642	112	38	eet	eet	X
app01-4642	112	39	)	)	PUNCT
app01-4642	112	40	,	,	PUNCT
app01-4642	112	41	their	their	PRON
app01-4642	112	42	errors	error	NOUN
app01-4642	112	43	,	,	PUNCT
app01-4642	112	44	and	and	CCONJ
app01-4642	112	45	their	their	PRON
app01-4642	112	46	comparison	comparison	NOUN
app01-4642	112	47	are	be	AUX
app01-4642	112	48	shown	show	VERB
app01-4642	112	49	.	.	PUNCT
app01-4642	113	1	the	the	DET
app01-4642	113	2	first	first	ADJ
app01-4642	113	3	three	three	NUM
app01-4642	113	4	natural	natural	ADJ
app01-4642	113	5	frequencies	frequency	NOUN
app01-4642	113	6	fhz	fhz	ADJ
app01-4642	113	7	and	and	CCONJ
app01-4642	113	8	loss	loss	NOUN
app01-4642	113	9	factors	factor	NOUN
app01-4642	113	10	η	η	X
app01-4642	113	11	are	be	AUX
app01-4642	113	12	summarized	summarize	VERB
app01-4642	113	13	in	in	ADP
app01-4642	113	14	table	table	NOUN
app01-4642	113	15	4	4	NUM
app01-4642	113	16	.	.	PUNCT
app01-4642	114	1	the	the	DET
app01-4642	114	2	errors	error	NOUN
app01-4642	114	3	of	of	ADP
app01-4642	114	4	the	the	DET
app01-4642	114	5	effective	effective	ADJ
app01-4642	114	6	thickness	thickness	NOUN
app01-4642	114	7	approaches	approach	NOUN
app01-4642	114	8	are	be	AUX
app01-4642	114	9	evaluated	evaluate	VERB
app01-4642	114	10	against	against	ADP
app01-4642	114	11	the	the	DET
app01-4642	114	12	reference	reference	NOUN
app01-4642	114	13	method	method	NOUN
app01-4642	114	14	based	base	VERB
app01-4642	114	15	on	on	ADP
app01-4642	114	16	the	the	DET
app01-4642	114	17	finite	finite	PROPN
app01-4642	114	18	element	element	NOUN
app01-4642	114	19	complex	complex	ADJ
app01-4642	114	20	-	-	PUNCT
app01-4642	114	21	eigenvalue	eigenvalue	NOUN
app01-4642	114	22	solver	solver	NOUN
app01-4642	114	23	.	.	PUNCT
app01-4642	115	1	shape	shape	NOUN
app01-4642	115	2	coefficients	coefficient	NOUN
app01-4642	115	3	ψ	ψ	ADP
app01-4642	115	4	beam	beam	NOUN
app01-4642	115	5	mode	mode	NOUN
app01-4642	115	6	1	1	NUM
app01-4642	115	7	2	2	NUM
app01-4642	115	8	3	3	NUM
app01-4642	115	9	simply	simply	ADV
app01-4642	115	10	-	-	PUNCT
app01-4642	115	11	supported	support	VERB
app01-4642	115	12	π2	π2	ADJ
app01-4642	115	13	l2	l2	NOUN
app01-4642	115	14	(	(	PUNCT
app01-4642	115	15	2π)2	2π)2	NUM
app01-4642	115	16	l2	l2	NOUN
app01-4642	115	17	(	(	PUNCT
app01-4642	115	18	3π)2	3π)2	NUM
app01-4642	115	19	l2	l2	NOUN
app01-4642	115	20	fixed	fix	VERB
app01-4642	115	21	-	-	PUNCT
app01-4642	115	22	fixed	fix	VERB
app01-4642	115	23	40.7	40.7	NUM
app01-4642	115	24	l2	l2	NOUN
app01-4642	115	25	82.6	82.6	NUM
app01-4642	115	26	l2	l2	NOUN
app01-4642	115	27	148	148	NUM
app01-4642	115	28	l2	l2	NOUN
app01-4642	115	29	free	free	ADJ
app01-4642	115	30	-	-	PUNCT
app01-4642	115	31	free	free	ADJ
app01-4642	115	32	10.1	10.1	NUM
app01-4642	115	33	l2	l2	NOUN
app01-4642	115	34	34.9	34.9	NUM
app01-4642	115	35	l2	l2	NOUN
app01-4642	115	36	78.2	78.2	NUM
app01-4642	115	37	l2	l2	NOUN
app01-4642	115	38	table	table	NOUN
app01-4642	115	39	3	3	NUM
app01-4642	115	40	.	.	PUNCT
app01-4642	115	41	summary	summary	NOUN
app01-4642	115	42	of	of	ADP
app01-4642	115	43	the	the	DET
app01-4642	115	44	shape	shape	NOUN
app01-4642	115	45	coefficients	coefficient	VERB
app01-4642	115	46	ψ	ψ	NOUN
app01-4642	115	47	for	for	ADP
app01-4642	115	48	three	three	NUM
app01-4642	115	49	different	different	ADJ
app01-4642	115	50	boundary	boundary	ADJ
app01-4642	115	51	conditions	condition	NOUN
app01-4642	115	52	and	and	CCONJ
app01-4642	115	53	the	the	DET
app01-4642	115	54	first	first	ADJ
app01-4642	115	55	three	three	NUM
app01-4642	115	56	mode	mode	NOUN
app01-4642	115	57	shapes	shape	NOUN
app01-4642	115	58	.	.	PUNCT
app01-4642	116	1	it	it	PRON
app01-4642	116	2	is	be	AUX
app01-4642	116	3	evident	evident	ADJ
app01-4642	116	4	from	from	ADP
app01-4642	116	5	the	the	DET
app01-4642	116	6	first	first	ADJ
app01-4642	116	7	two	two	NUM
app01-4642	116	8	subtables	subtable	NOUN
app01-4642	116	9	in	in	ADP
app01-4642	116	10	table	table	NOUN
app01-4642	116	11	4	4	NUM
app01-4642	116	12	that	that	PRON
app01-4642	116	13	the	the	DET
app01-4642	116	14	adjusted	adjust	VERB
app01-4642	116	15	eet	eet	NOUN
app01-4642	116	16	approach	approach	NOUN
app01-4642	116	17	gives	give	VERB
app01-4642	116	18	the	the	DET
app01-4642	116	19	same	same	ADJ
app01-4642	116	20	results	result	NOUN
app01-4642	116	21	as	as	ADP
app01-4642	116	22	the	the	DET
app01-4642	116	23	det	det	PROPN
app01-4642	116	24	method	method	NOUN
app01-4642	116	25	for	for	ADP
app01-4642	116	26	the	the	DET
app01-4642	116	27	simply	simply	ADV
app01-4642	116	28	-	-	PUNCT
app01-4642	116	29	supported	support	VERB
app01-4642	116	30	beam	beam	NOUN
app01-4642	116	31	for	for	ADP
app01-4642	116	32	both	both	DET
app01-4642	116	33	temperatures	temperature	NOUN
app01-4642	116	34	.	.	PUNCT
app01-4642	117	1	both	both	DET
app01-4642	117	2	effective	effective	ADJ
app01-4642	117	3	thickness	thickness	NOUN
app01-4642	117	4	methods	method	NOUN
app01-4642	117	5	give	give	VERB
app01-4642	117	6	the	the	DET
app01-4642	117	7	errors	error	NOUN
app01-4642	117	8	in	in	ADP
app01-4642	117	9	natural	natural	ADJ
app01-4642	117	10	frequencies	frequency	NOUN
app01-4642	117	11	less	less	ADJ
app01-4642	117	12	than	than	ADP
app01-4642	117	13	1	1	NUM
app01-4642	117	14	%	%	NOUN
app01-4642	117	15	and	and	CCONJ
app01-4642	117	16	in	in	ADP
app01-4642	117	17	loss	loss	NOUN
app01-4642	117	18	factors	factor	NOUN
app01-4642	117	19	less	less	ADJ
app01-4642	117	20	than	than	ADP
app01-4642	117	21	10	10	NUM
app01-4642	117	22	%	%	NOUN
app01-4642	117	23	.	.	PUNCT
app01-4642	118	1	for	for	ADP
app01-4642	118	2	the	the	DET
app01-4642	118	3	room	room	NOUN
app01-4642	118	4	temperature	temperature	NOUN
app01-4642	118	5	,	,	PUNCT
app01-4642	118	6	even	even	ADV
app01-4642	118	7	the	the	DET
app01-4642	118	8	errors	error	NOUN
app01-4642	118	9	in	in	ADP
app01-4642	118	10	loss	loss	NOUN
app01-4642	118	11	factors	factor	NOUN
app01-4642	118	12	are	be	AUX
app01-4642	118	13	under	under	ADP
app01-4642	118	14	1	1	NUM
app01-4642	118	15	%	%	NOUN
app01-4642	118	16	.	.	PUNCT
app01-4642	119	1	for	for	ADP
app01-4642	119	2	the	the	DET
app01-4642	119	3	two	two	NUM
app01-4642	119	4	other	other	ADJ
app01-4642	119	5	boundary	boundary	ADJ
app01-4642	119	6	condition	condition	NOUN
app01-4642	119	7	,	,	PUNCT
app01-4642	119	8	the	the	DET
app01-4642	119	9	det	det	PROPN
app01-4642	119	10	approach	approach	NOUN
app01-4642	119	11	provides	provide	VERB
app01-4642	119	12	quite	quite	ADV
app01-4642	119	13	good	good	ADJ
app01-4642	119	14	predictions	prediction	NOUN
app01-4642	119	15	for	for	ADP
app01-4642	119	16	natural	natural	ADJ
app01-4642	119	17	frequencies	frequency	NOUN
app01-4642	119	18	with	with	ADP
app01-4642	119	19	the	the	DET
app01-4642	119	20	errors	error	NOUN
app01-4642	119	21	under	under	ADP
app01-4642	119	22	13	13	NUM
app01-4642	119	23	%	%	NOUN
app01-4642	119	24	.	.	PUNCT
app01-4642	120	1	however	however	ADV
app01-4642	120	2	,	,	PUNCT
app01-4642	120	3	the	the	DET
app01-4642	120	4	errors	error	NOUN
app01-4642	120	5	in	in	ADP
app01-4642	120	6	loss	loss	NOUN
app01-4642	120	7	factors	factor	NOUN
app01-4642	120	8	can	can	AUX
app01-4642	120	9	be	be	AUX
app01-4642	120	10	very	very	ADV
app01-4642	120	11	high	high	ADJ
app01-4642	120	12	(	(	PUNCT
app01-4642	120	13	up	up	ADP
app01-4642	120	14	to	to	PART
app01-4642	120	15	80	80	NUM
app01-4642	120	16	%	%	NOUN
app01-4642	120	17	)	)	PUNCT
app01-4642	120	18	.	.	PUNCT
app01-4642	121	1	therefore	therefore	ADV
app01-4642	121	2	,	,	PUNCT
app01-4642	121	3	this	this	DET
app01-4642	121	4	method	method	NOUN
app01-4642	121	5	is	be	AUX
app01-4642	121	6	mostly	mostly	ADV
app01-4642	121	7	unable	unable	ADJ
app01-4642	121	8	to	to	PART
app01-4642	121	9	provide	provide	VERB
app01-4642	121	10	a	a	DET
app01-4642	121	11	good	good	ADJ
app01-4642	121	12	estimation	estimation	NOUN
app01-4642	121	13	of	of	ADP
app01-4642	121	14	damping	damp	VERB
app01-4642	121	15	.	.	PUNCT
app01-4642	122	1	the	the	DET
app01-4642	122	2	adjusted	adjust	VERB
app01-4642	122	3	eet	eet	NOUN
app01-4642	122	4	approach	approach	NOUN
app01-4642	122	5	helps	help	VERB
app01-4642	122	6	to	to	PART
app01-4642	122	7	overcome	overcome	VERB
app01-4642	122	8	these	these	DET
app01-4642	122	9	inaccuracies	inaccuracy	NOUN
app01-4642	122	10	.	.	PUNCT
app01-4642	123	1	for	for	ADP
app01-4642	123	2	the	the	DET
app01-4642	123	3	fixed	fix	VERB
app01-4642	123	4	-	-	PUNCT
app01-4642	123	5	fixed	fix	VERB
app01-4642	123	6	beam	beam	NOUN
app01-4642	123	7	,	,	PUNCT
app01-4642	123	8	this	this	DET
app01-4642	123	9	approach	approach	NOUN
app01-4642	123	10	gives	give	VERB
app01-4642	123	11	the	the	DET
app01-4642	123	12	largest	large	ADJ
app01-4642	123	13	error	error	NOUN
app01-4642	123	14	in	in	ADP
app01-4642	123	15	natural	natural	ADJ
app01-4642	123	16	frequencies	frequency	NOUN
app01-4642	123	17	3	3	NUM
app01-4642	123	18	%	%	NOUN
app01-4642	123	19	(	(	PUNCT
app01-4642	123	20	against	against	ADP
app01-4642	123	21	the	the	DET
app01-4642	123	22	8	8	NUM
app01-4642	123	23	%	%	NOUN
app01-4642	123	24	error	error	NOUN
app01-4642	123	25	by	by	ADP
app01-4642	123	26	the	the	DET
app01-4642	123	27	det	det	PROPN
app01-4642	123	28	)	)	PUNCT
app01-4642	123	29	and	and	CCONJ
app01-4642	123	30	in	in	ADP
app01-4642	123	31	loss	loss	NOUN
app01-4642	123	32	factors	factor	NOUN
app01-4642	123	33	9	9	NUM
app01-4642	123	34	%	%	NOUN
app01-4642	123	35	(	(	PUNCT
app01-4642	123	36	against	against	ADP
app01-4642	123	37	the	the	DET
app01-4642	123	38	44	44	NUM
app01-4642	123	39	%	%	NOUN
app01-4642	123	40	error	error	NOUN
app01-4642	123	41	by	by	ADP
app01-4642	123	42	the	the	DET
app01-4642	123	43	det	det	PROPN
app01-4642	123	44	)	)	PUNCT
app01-4642	123	45	.	.	PUNCT
app01-4642	124	1	for	for	ADP
app01-4642	124	2	the	the	DET
app01-4642	124	3	free	free	ADJ
app01-4642	124	4	-	-	PUNCT
app01-4642	124	5	free	free	ADJ
app01-4642	124	6	beam	beam	NOUN
app01-4642	124	7	,	,	PUNCT
app01-4642	124	8	the	the	DET
app01-4642	124	9	largest	large	ADJ
app01-4642	124	10	value	value	NOUN
app01-4642	124	11	of	of	ADP
app01-4642	124	12	errors	error	NOUN
app01-4642	124	13	in	in	ADP
app01-4642	124	14	natural	natural	ADJ
app01-4642	124	15	frequencies	frequency	NOUN
app01-4642	124	16	is	be	AUX
app01-4642	124	17	3	3	NUM
app01-4642	124	18	%	%	NOUN
app01-4642	124	19	(	(	PUNCT
app01-4642	124	20	against	against	ADP
app01-4642	124	21	the	the	DET
app01-4642	124	22	13	13	NUM
app01-4642	124	23	%	%	NOUN
app01-4642	124	24	error	error	NOUN
app01-4642	124	25	by	by	ADP
app01-4642	124	26	the	the	DET
app01-4642	124	27	det	det	PROPN
app01-4642	124	28	)	)	PUNCT
app01-4642	124	29	and	and	CCONJ
app01-4642	124	30	in	in	ADP
app01-4642	124	31	loss	loss	NOUN
app01-4642	124	32	factors	factor	NOUN
app01-4642	124	33	19	19	NUM
app01-4642	124	34	%	%	NOUN
app01-4642	124	35	(	(	PUNCT
app01-4642	124	36	against	against	ADP
app01-4642	124	37	the	the	DET
app01-4642	124	38	78	78	NUM
app01-4642	124	39	%	%	NOUN
app01-4642	124	40	error	error	NOUN
app01-4642	124	41	by	by	ADP
app01-4642	124	42	the	the	DET
app01-4642	124	43	det	det	PROPN
app01-4642	124	44	)	)	PUNCT
app01-4642	124	45	.	.	PUNCT
app01-4642	125	1	this	this	PRON
app01-4642	125	2	demonstrates	demonstrate	VERB
app01-4642	125	3	that	that	SCONJ
app01-4642	125	4	our	our	PRON
app01-4642	125	5	intuitive	intuitive	ADJ
app01-4642	125	6	extension	extension	NOUN
app01-4642	125	7	of	of	ADP
app01-4642	125	8	the	the	DET
app01-4642	125	9	variationally	variationally	ADV
app01-4642	125	10	-	-	PUNCT
app01-4642	125	11	based	base	VERB
app01-4642	125	12	enhanced	enhanced	ADJ
app01-4642	125	13	effective	effective	ADJ
app01-4642	125	14	thickness	thickness	NOUN
app01-4642	125	15	concept	concept	NOUN
app01-4642	125	16	from	from	ADP
app01-4642	125	17	[	[	X
app01-4642	125	18	7	7	X
app01-4642	125	19	]	]	PUNCT
app01-4642	125	20	provides	provide	VERB
app01-4642	125	21	better	well	ADJ
app01-4642	125	22	(	(	PUNCT
app01-4642	125	23	or	or	CCONJ
app01-4642	125	24	for	for	ADP
app01-4642	125	25	the	the	DET
app01-4642	125	26	simplysupported	simplysupporte	VERB
app01-4642	125	27	beam	beam	NOUN
app01-4642	125	28	the	the	DET
app01-4642	125	29	same	same	ADJ
app01-4642	125	30	)	)	PUNCT
app01-4642	125	31	estimates	estimate	NOUN
app01-4642	125	32	of	of	ADP
app01-4642	125	33	both	both	CCONJ
app01-4642	125	34	the	the	DET
app01-4642	125	35	natural	natural	ADJ
app01-4642	125	36	frequencies	frequency	NOUN
app01-4642	125	37	and	and	CCONJ
app01-4642	125	38	loss	loss	NOUN
app01-4642	125	39	factors	factor	NOUN
app01-4642	125	40	for	for	ADP
app01-4642	125	41	laminated	laminated	ADJ
app01-4642	125	42	glass	glass	NOUN
app01-4642	125	43	beams	beam	NOUN
app01-4642	125	44	.	.	PUNCT
app01-4642	126	1	112	112	NUM
app01-4642	126	2	vol	vol	NOUN
app01-4642	126	3	.	.	PUNCT
app01-4642	127	1	13/2017	13/2017	NUM
app01-4642	127	2	variationally	variationally	ADV
app01-4642	127	3	-	-	PUNCT
app01-4642	127	4	based	base	VERB
app01-4642	127	5	effective	effective	ADJ
app01-4642	127	6	dynamic	dynamic	ADJ
app01-4642	127	7	thickness	thickness	NOUN
app01-4642	127	8	simply	simply	ADV
app01-4642	127	9	-	-	PUNCT
app01-4642	127	10	supported	support	VERB
app01-4642	127	11	beam	beam	NOUN
app01-4642	127	12	at	at	ADP
app01-4642	127	13	25	25	NUM
app01-4642	127	14	◦	◦	PROPN
app01-4642	127	15	c	c	PROPN
app01-4642	127	16	mode	mode	NOUN
app01-4642	127	17	natural	natural	ADJ
app01-4642	127	18	frequency	frequency	NOUN
app01-4642	127	19	[	[	X
app01-4642	127	20	hz	hz	X
app01-4642	127	21	]	]	X
app01-4642	127	22	error	error	NOUN
app01-4642	127	23	[	[	X
app01-4642	127	24	%	%	X
app01-4642	127	25	]	]	X
app01-4642	127	26	mode	mode	NOUN
app01-4642	127	27	loss	loss	NOUN
app01-4642	127	28	factor	factor	NOUN
app01-4642	127	29	[	[	X
app01-4642	127	30	%	%	X
app01-4642	127	31	]	]	X
app01-4642	127	32	error	error	NOUN
app01-4642	127	33	[	[	X
app01-4642	127	34	%	%	X
app01-4642	127	35	]	]	X
app01-4642	127	36	rm	rm	PROPN
app01-4642	127	37	det	det	PROPN
app01-4642	127	38	eet	eet	X
app01-4642	127	39	det	det	PROPN
app01-4642	127	40	eet	eet	PROPN
app01-4642	127	41	rm	rm	PROPN
app01-4642	127	42	det	det	PROPN
app01-4642	127	43	eet	eet	X
app01-4642	127	44	det	det	PROPN
app01-4642	127	45	eet	eet	VERB
app01-4642	127	46	1	1	NUM
app01-4642	127	47	52.03	52.03	NUM
app01-4642	127	48	52.07	52.07	NUM
app01-4642	127	49	52.07	52.07	NUM
app01-4642	127	50	0.09	0.09	NUM
app01-4642	127	51	0.09	0.09	NUM
app01-4642	127	52	1	1	NUM
app01-4642	127	53	1.93	1.93	NUM
app01-4642	127	54	1.93	1.93	NUM
app01-4642	127	55	1.93	1.93	NUM
app01-4642	127	56	-0.25	-0.25	NUM
app01-4642	127	57	-0.25	-0.25	NUM
app01-4642	127	58	2	2	NUM
app01-4642	127	59	197.9	197.9	NUM
app01-4642	127	60	198.5	198.5	NUM
app01-4642	127	61	198.5	198.5	NUM
app01-4642	127	62	0.30	0.30	NUM
app01-4642	127	63	0.30	0.30	NUM
app01-4642	127	64	2	2	NUM
app01-4642	127	65	4.24	4.24	NUM
app01-4642	127	66	4.23	4.23	NUM
app01-4642	127	67	4.23	4.23	NUM
app01-4642	127	68	-0.32	-0.32	NUM
app01-4642	127	69	-0.32	-0.32	NUM
app01-4642	127	70	3	3	NUM
app01-4642	127	71	419.1	419.1	NUM
app01-4642	127	72	421.4	421.4	NUM
app01-4642	127	73	421.4	421.4	NUM
app01-4642	127	74	0.56	0.56	NUM
app01-4642	127	75	0.56	0.56	NUM
app01-4642	127	76	3	3	NUM
app01-4642	127	77	6.15	6.15	NUM
app01-4642	127	78	6.14	6.14	NUM
app01-4642	127	79	6.14	6.14	NUM
app01-4642	127	80	-0.20	-0.20	X
app01-4642	127	81	-0.20	-0.20	PUNCT
app01-4642	127	82	simply	simply	ADV
app01-4642	127	83	-	-	PUNCT
app01-4642	127	84	supported	support	VERB
app01-4642	127	85	beam	beam	NOUN
app01-4642	127	86	at	at	ADP
app01-4642	127	87	50	50	NUM
app01-4642	127	88	◦	◦	NOUN
app01-4642	127	89	c	c	NOUN
app01-4642	127	90	mode	mode	NOUN
app01-4642	127	91	natural	natural	ADJ
app01-4642	127	92	frequency	frequency	NOUN
app01-4642	127	93	[	[	X
app01-4642	127	94	hz	hz	X
app01-4642	127	95	]	]	X
app01-4642	127	96	error	error	NOUN
app01-4642	127	97	[	[	X
app01-4642	127	98	%	%	X
app01-4642	127	99	]	]	X
app01-4642	127	100	mode	mode	NOUN
app01-4642	127	101	loss	loss	NOUN
app01-4642	127	102	factor	factor	NOUN
app01-4642	127	103	[	[	X
app01-4642	127	104	%	%	X
app01-4642	127	105	]	]	X
app01-4642	127	106	error	error	NOUN
app01-4642	127	107	[	[	X
app01-4642	127	108	%	%	X
app01-4642	127	109	]	]	X
app01-4642	127	110	rm	rm	PROPN
app01-4642	127	111	det	det	PROPN
app01-4642	127	112	eet	eet	X
app01-4642	127	113	det	det	PROPN
app01-4642	127	114	eet	eet	PROPN
app01-4642	127	115	rm	rm	PROPN
app01-4642	127	116	det	det	PROPN
app01-4642	127	117	eet	eet	X
app01-4642	127	118	det	det	PROPN
app01-4642	127	119	eet	eet	X
app01-4642	127	120	1	1	NUM
app01-4642	127	121	30.81	30.81	NUM
app01-4642	127	122	30.97	30.97	NUM
app01-4642	127	123	30.97	30.97	NUM
app01-4642	127	124	0.53	0.53	NUM
app01-4642	127	125	0.53	0.53	NUM
app01-4642	127	126	1	1	NUM
app01-4642	127	127	24.41	24.41	NUM
app01-4642	127	128	22.17	22.17	NUM
app01-4642	127	129	22.17	22.17	NUM
app01-4642	127	130	-9.18	-9.18	X
app01-4642	127	131	-9.18	-9.18	X
app01-4642	127	132	2	2	NUM
app01-4642	127	133	108.1	108.1	NUM
app01-4642	127	134	108.5	108.5	NUM
app01-4642	127	135	108.5	108.5	NUM
app01-4642	127	136	0.42	0.42	NUM
app01-4642	127	137	0.42	0.42	NUM
app01-4642	127	138	2	2	NUM
app01-4642	127	139	16.89	16.89	NUM
app01-4642	127	140	16.25	16.25	NUM
app01-4642	127	141	16.25	16.25	NUM
app01-4642	127	142	-3.81	-3.81	NUM
app01-4642	128	1	-3.81	-3.81	NUM
app01-4642	128	2	3	3	NUM
app01-4642	128	3	232.0	232.0	NUM
app01-4642	128	4	233.1	233.1	NUM
app01-4642	128	5	233.1	233.1	NUM
app01-4642	128	6	0.47	0.47	NUM
app01-4642	128	7	0.47	0.47	NUM
app01-4642	128	8	3	3	NUM
app01-4642	128	9	14.46	14.46	NUM
app01-4642	128	10	13.90	13.90	NUM
app01-4642	128	11	13.90	13.90	NUM
app01-4642	128	12	-3.84	-3.84	NOUN
app01-4642	128	13	-3.84	-3.84	NUM
app01-4642	128	14	fixed	fix	VERB
app01-4642	128	15	-	-	PUNCT
app01-4642	128	16	fixed	fix	VERB
app01-4642	128	17	beam	beam	NOUN
app01-4642	128	18	at	at	ADP
app01-4642	128	19	25	25	NUM
app01-4642	128	20	◦	◦	PROPN
app01-4642	128	21	c	c	PROPN
app01-4642	128	22	mode	mode	NOUN
app01-4642	128	23	natural	natural	ADJ
app01-4642	128	24	frequency	frequency	NOUN
app01-4642	128	25	[	[	X
app01-4642	128	26	hz	hz	X
app01-4642	128	27	]	]	X
app01-4642	128	28	error	error	NOUN
app01-4642	128	29	[	[	X
app01-4642	128	30	%	%	X
app01-4642	128	31	]	]	X
app01-4642	128	32	mode	mode	NOUN
app01-4642	128	33	loss	loss	NOUN
app01-4642	128	34	factor	factor	NOUN
app01-4642	128	35	[	[	X
app01-4642	128	36	%	%	X
app01-4642	128	37	]	]	X
app01-4642	128	38	error	error	NOUN
app01-4642	128	39	[	[	X
app01-4642	128	40	%	%	X
app01-4642	128	41	]	]	X
app01-4642	128	42	rm	rm	PROPN
app01-4642	128	43	det	det	PROPN
app01-4642	128	44	eet	eet	X
app01-4642	128	45	det	det	PROPN
app01-4642	128	46	eet	eet	PROPN
app01-4642	128	47	rm	rm	PROPN
app01-4642	128	48	det	det	PROPN
app01-4642	128	49	eet	eet	X
app01-4642	128	50	det	det	PROPN
app01-4642	128	51	eet	eet	VERB
app01-4642	128	52	1	1	NUM
app01-4642	128	53	110.2	110.2	NUM
app01-4642	128	54	115.4	115.4	NUM
app01-4642	128	55	111.3	111.3	NUM
app01-4642	128	56	4.78	4.78	NUM
app01-4642	128	57	1.09	1.09	NUM
app01-4642	128	58	1	1	NUM
app01-4642	128	59	5.42	5.42	NUM
app01-4642	128	60	3.09	3.09	NUM
app01-4642	128	61	5.08	5.08	NUM
app01-4642	128	62	-43.05	-43.05	PROPN
app01-4642	128	63	-6.27	-6.27	PROPN
app01-4642	128	64	2	2	NUM
app01-4642	128	65	285.3	285.3	NUM
app01-4642	128	66	301.4	301.4	NUM
app01-4642	128	67	292.7	292.7	NUM
app01-4642	128	68	5.65	5.65	NUM
app01-4642	128	69	2.59	2.59	NUM
app01-4642	128	70	2	2	NUM
app01-4642	128	71	7.15	7.15	NUM
app01-4642	128	72	5.29	5.29	NUM
app01-4642	128	73	6.50	6.50	NUM
app01-4642	128	74	-25.94	-25.94	PROPN
app01-4642	128	75	-9.02	-9.02	NUM
app01-4642	128	76	3	3	NUM
app01-4642	128	77	527.2	527.2	NUM
app01-4642	128	78	556.3	556.3	NUM
app01-4642	128	79	541.1	541.1	NUM
app01-4642	128	80	5.53	5.53	NUM
app01-4642	128	81	2.65	2.65	NUM
app01-4642	128	82	3	3	NUM
app01-4642	128	83	7.86	7.86	NUM
app01-4642	128	84	6.74	6.74	NUM
app01-4642	128	85	7.56	7.56	NUM
app01-4642	128	86	-14.28	-14.28	NUM
app01-4642	128	87	-3.82	-3.82	NUM
app01-4642	128	88	fixed	fix	VERB
app01-4642	128	89	-	-	PUNCT
app01-4642	128	90	fixed	fix	VERB
app01-4642	128	91	beam	beam	NOUN
app01-4642	128	92	at	at	ADP
app01-4642	128	93	50	50	NUM
app01-4642	128	94	◦	◦	NOUN
app01-4642	128	95	c	c	NOUN
app01-4642	128	96	mode	mode	NOUN
app01-4642	128	97	natural	natural	ADJ
app01-4642	128	98	frequency	frequency	NOUN
app01-4642	128	99	[	[	X
app01-4642	128	100	hz	hz	X
app01-4642	128	101	]	]	X
app01-4642	128	102	error	error	NOUN
app01-4642	128	103	[	[	X
app01-4642	128	104	%	%	X
app01-4642	128	105	]	]	X
app01-4642	128	106	mode	mode	NOUN
app01-4642	128	107	loss	loss	NOUN
app01-4642	128	108	factor	factor	NOUN
app01-4642	128	109	[	[	X
app01-4642	128	110	%	%	X
app01-4642	128	111	]	]	X
app01-4642	128	112	error	error	NOUN
app01-4642	128	113	[	[	X
app01-4642	128	114	%	%	X
app01-4642	128	115	]	]	X
app01-4642	128	116	rm	rm	PROPN
app01-4642	128	117	det	det	PROPN
app01-4642	128	118	eet	eet	X
app01-4642	128	119	det	det	PROPN
app01-4642	128	120	eet	eet	PROPN
app01-4642	128	121	rm	rm	PROPN
app01-4642	128	122	det	det	PROPN
app01-4642	128	123	eet	eet	X
app01-4642	128	124	det	det	PROPN
app01-4642	128	125	eet	eet	VERB
app01-4642	128	126	1	1	NUM
app01-4642	128	127	60.06	60.06	NUM
app01-4642	128	128	64.63	64.63	NUM
app01-4642	128	129	60.21	60.21	NUM
app01-4642	128	130	7.62	7.62	NUM
app01-4642	128	131	0.25	0.25	NUM
app01-4642	128	132	1	1	NUM
app01-4642	128	133	12.99	12.99	NUM
app01-4642	128	134	18.74	18.74	NUM
app01-4642	128	135	12.72	12.72	NUM
app01-4642	128	136	44.19	44.19	NUM
app01-4642	128	137	-2.14	-2.14	PRON
app01-4642	128	138	2	2	NUM
app01-4642	128	139	160.2	160.2	NUM
app01-4642	128	140	164.6	164.6	NUM
app01-4642	128	141	160.9	160.9	NUM
app01-4642	128	142	2.79	2.79	NUM
app01-4642	128	143	0.46	0.46	NUM
app01-4642	128	144	2	2	NUM
app01-4642	128	145	11.51	11.51	NUM
app01-4642	128	146	14.91	14.91	NUM
app01-4642	128	147	11.80	11.80	NUM
app01-4642	128	148	29.52	29.52	NUM
app01-4642	128	149	2.49	2.49	NUM
app01-4642	128	150	3	3	NUM
app01-4642	128	151	308.8	308.8	NUM
app01-4642	128	152	314.0	314.0	NUM
app01-4642	128	153	310.2	310.2	NUM
app01-4642	128	154	1.66	1.66	NUM
app01-4642	128	155	0.43	0.43	NUM
app01-4642	128	156	3	3	NUM
app01-4642	128	157	10.98	10.98	NUM
app01-4642	128	158	12.89	12.89	NUM
app01-4642	128	159	10.87	10.87	NUM
app01-4642	128	160	17.39	17.39	NUM
app01-4642	128	161	-1.03	-1.03	NUM
app01-4642	128	162	free	free	ADJ
app01-4642	128	163	-	-	PUNCT
app01-4642	128	164	free	free	ADJ
app01-4642	128	165	beam	beam	NOUN
app01-4642	128	166	at	at	ADP
app01-4642	128	167	25	25	NUM
app01-4642	128	168	◦	◦	PROPN
app01-4642	128	169	c	c	PROPN
app01-4642	128	170	mode	mode	NOUN
app01-4642	128	171	natural	natural	ADJ
app01-4642	128	172	frequency	frequency	NOUN
app01-4642	128	173	[	[	X
app01-4642	128	174	hz	hz	X
app01-4642	128	175	]	]	X
app01-4642	128	176	error	error	NOUN
app01-4642	128	177	[	[	X
app01-4642	128	178	%	%	X
app01-4642	128	179	]	]	X
app01-4642	128	180	mode	mode	NOUN
app01-4642	128	181	loss	loss	NOUN
app01-4642	128	182	factor	factor	NOUN
app01-4642	128	183	[	[	X
app01-4642	128	184	%	%	X
app01-4642	128	185	]	]	X
app01-4642	128	186	error	error	NOUN
app01-4642	128	187	[	[	X
app01-4642	128	188	%	%	X
app01-4642	128	189	]	]	X
app01-4642	128	190	rm	rm	PROPN
app01-4642	128	191	det	det	PROPN
app01-4642	128	192	eet	eet	X
app01-4642	128	193	det	det	PROPN
app01-4642	128	194	eet	eet	PROPN
app01-4642	128	195	rm	rm	PROPN
app01-4642	128	196	det	det	PROPN
app01-4642	128	197	eet	eet	X
app01-4642	128	198	det	det	PROPN
app01-4642	128	199	eet	eet	VERB
app01-4642	128	200	1	1	NUM
app01-4642	128	201	117.8	117.8	NUM
app01-4642	128	202	115.4	115.4	NUM
app01-4642	128	203	118.4	118.4	NUM
app01-4642	128	204	-2.00	-2.00	NUM
app01-4642	128	205	0.56	0.56	NUM
app01-4642	128	206	1	1	NUM
app01-4642	128	207	1.73	1.73	NUM
app01-4642	128	208	3.09	3.09	NUM
app01-4642	128	209	1.50	1.50	NUM
app01-4642	128	210	78.05	78.05	NUM
app01-4642	128	211	-13.64	-13.64	X
app01-4642	128	212	2	2	NUM
app01-4642	128	213	307.9	307.9	NUM
app01-4642	128	214	301.4	301.4	NUM
app01-4642	128	215	314.1	314.1	NUM
app01-4642	128	216	-2.12	-2.12	NUM
app01-4642	128	217	2.00	2.00	NUM
app01-4642	128	218	2	2	NUM
app01-4642	128	219	4.13	4.13	NUM
app01-4642	128	220	5.29	5.29	NUM
app01-4642	128	221	3.37	3.37	NUM
app01-4642	128	222	28.20	28.20	NUM
app01-4642	128	223	-18.41	-18.41	NOUN
app01-4642	128	224	3	3	NUM
app01-4642	128	225	568.4	568.4	NUM
app01-4642	128	226	556.3	556.3	NUM
app01-4642	128	227	584.5	584.5	NUM
app01-4642	128	228	-2.12	-2.12	NUM
app01-4642	128	229	2.84	2.84	NUM
app01-4642	128	230	3	3	NUM
app01-4642	128	231	5.77	5.77	NUM
app01-4642	128	232	6.74	6.74	NUM
app01-4642	128	233	5.04	5.04	NUM
app01-4642	128	234	16.74	16.74	NUM
app01-4642	128	235	-12.64	-12.64	NUM
app01-4642	128	236	free	free	ADJ
app01-4642	128	237	-	-	PUNCT
app01-4642	128	238	free	free	ADJ
app01-4642	128	239	beam	beam	NOUN
app01-4642	128	240	at	at	ADP
app01-4642	128	241	50	50	NUM
app01-4642	128	242	◦	◦	NOUN
app01-4642	128	243	c	c	NOUN
app01-4642	128	244	mode	mode	NOUN
app01-4642	128	245	natural	natural	ADJ
app01-4642	128	246	frequency	frequency	NOUN
app01-4642	128	247	[	[	X
app01-4642	128	248	hz	hz	X
app01-4642	128	249	]	]	X
app01-4642	128	250	error	error	NOUN
app01-4642	128	251	[	[	X
app01-4642	128	252	%	%	X
app01-4642	128	253	]	]	X
app01-4642	128	254	mode	mode	NOUN
app01-4642	128	255	loss	loss	NOUN
app01-4642	128	256	factor	factor	NOUN
app01-4642	128	257	[	[	X
app01-4642	128	258	%	%	X
app01-4642	128	259	]	]	X
app01-4642	128	260	error	error	NOUN
app01-4642	128	261	[	[	X
app01-4642	128	262	%	%	X
app01-4642	128	263	]	]	X
app01-4642	128	264	rm	rm	PROPN
app01-4642	128	265	det	det	PROPN
app01-4642	128	266	eet	eet	X
app01-4642	128	267	det	det	PROPN
app01-4642	128	268	eet	eet	PROPN
app01-4642	128	269	rm	rm	PROPN
app01-4642	128	270	det	det	PROPN
app01-4642	128	271	eet	eet	X
app01-4642	128	272	det	det	PROPN
app01-4642	128	273	eet	eet	VERB
app01-4642	128	274	1	1	NUM
app01-4642	128	275	73.95	73.95	NUM
app01-4642	128	276	64.63	64.63	NUM
app01-4642	128	277	74.62	74.62	NUM
app01-4642	128	278	-12.60	-12.60	PROPN
app01-4642	129	1	0.90	0.90	NUM
app01-4642	129	2	1	1	NUM
app01-4642	129	3	26.44	26.44	NUM
app01-4642	129	4	18.74	18.74	NUM
app01-4642	129	5	25.39	25.39	NUM
app01-4642	129	6	-29.13	-29.13	PROPN
app01-4642	129	7	-3.96	-3.96	NUM
app01-4642	129	8	2	2	NUM
app01-4642	129	9	170.5	170.5	NUM
app01-4642	129	10	164.6	164.6	NUM
app01-4642	129	11	175.6	175.6	NUM
app01-4642	129	12	-3.45	-3.45	NUM
app01-4642	129	13	2.97	2.97	NUM
app01-4642	129	14	2	2	NUM
app01-4642	129	15	20.85	20.85	NUM
app01-4642	129	16	14.91	14.91	NUM
app01-4642	129	17	22.20	22.20	NUM
app01-4642	129	18	-28.51	-28.51	PROPN
app01-4642	129	19	6.48	6.48	NUM
app01-4642	129	20	3	3	NUM
app01-4642	129	21	322.5	322.5	NUM
app01-4642	129	22	314.0	314.0	NUM
app01-4642	129	23	325.3	325.3	NUM
app01-4642	129	24	-2.66	-2.66	NUM
app01-4642	129	25	0.86	0.86	NUM
app01-4642	129	26	3	3	NUM
app01-4642	129	27	17.57	17.57	NUM
app01-4642	129	28	12.89	12.89	NUM
app01-4642	129	29	18.20	18.20	NUM
app01-4642	129	30	-26.61	-26.61	PROPN
app01-4642	129	31	3.62	3.62	NUM
app01-4642	129	32	table	table	NOUN
app01-4642	129	33	4	4	NUM
app01-4642	129	34	.	.	PUNCT
app01-4642	129	35	natural	natural	ADJ
app01-4642	129	36	frequencies	frequency	NOUN
app01-4642	129	37	and	and	CCONJ
app01-4642	129	38	loss	loss	NOUN
app01-4642	129	39	factors	factor	NOUN
app01-4642	129	40	for	for	ADP
app01-4642	129	41	the	the	DET
app01-4642	129	42	three	three	NUM
app01-4642	129	43	-	-	PUNCT
app01-4642	129	44	layer	layer	NOUN
app01-4642	129	45	laminated	laminate	VERB
app01-4642	129	46	glass	glass	NOUN
app01-4642	129	47	beam	beam	NOUN
app01-4642	129	48	for	for	ADP
app01-4642	129	49	the	the	DET
app01-4642	129	50	first	first	ADJ
app01-4642	129	51	three	three	NUM
app01-4642	129	52	modes	mode	NOUN
app01-4642	129	53	determined	determine	VERB
app01-4642	129	54	by	by	ADP
app01-4642	129	55	the	the	DET
app01-4642	129	56	reference	reference	NOUN
app01-4642	129	57	method	method	NOUN
app01-4642	129	58	(	(	PUNCT
app01-4642	129	59	rm	rm	PROPN
app01-4642	129	60	)	)	PUNCT
app01-4642	129	61	,	,	PUNCT
app01-4642	129	62	the	the	DET
app01-4642	129	63	dynamic	dynamic	ADJ
app01-4642	129	64	effective	effective	ADJ
app01-4642	129	65	thickness	thickness	NOUN
app01-4642	129	66	method	method	NOUN
app01-4642	129	67	(	(	PUNCT
app01-4642	129	68	det	det	PROPN
app01-4642	129	69	)	)	PUNCT
app01-4642	129	70	,	,	PUNCT
app01-4642	129	71	and	and	CCONJ
app01-4642	129	72	the	the	DET
app01-4642	129	73	adjusted	adjust	VERB
app01-4642	129	74	enhanced	enhanced	ADJ
app01-4642	129	75	effective	effective	ADJ
app01-4642	129	76	thickness	thickness	NOUN
app01-4642	129	77	approach	approach	NOUN
app01-4642	129	78	(	(	PUNCT
app01-4642	129	79	eet	eet	X
app01-4642	129	80	)	)	PUNCT
app01-4642	129	81	with	with	ADP
app01-4642	129	82	their	their	PRON
app01-4642	129	83	errors	error	NOUN
app01-4642	129	84	against	against	ADP
app01-4642	129	85	the	the	DET
app01-4642	129	86	reference	reference	NOUN
app01-4642	129	87	method	method	NOUN
app01-4642	129	88	(	(	PUNCT
app01-4642	129	89	rm	rm	NOUN
app01-4642	129	90	)	)	PUNCT
app01-4642	129	91	.	.	PUNCT
app01-4642	130	1	113	113	NUM
app01-4642	130	2	j.	j.	PROPN
app01-4642	130	3	schmidt	schmidt	PROPN
app01-4642	130	4	,	,	PUNCT
app01-4642	130	5	a.	a.	NOUN
app01-4642	130	6	zemanová	zemanová	PROPN
app01-4642	130	7	,	,	PUNCT
app01-4642	130	8	t.	t.	PROPN
app01-4642	130	9	janda	janda	PROPN
app01-4642	130	10	et	et	PROPN
app01-4642	130	11	al	al	PROPN
app01-4642	130	12	.	.	PROPN
app01-4642	131	1	acta	acta	PROPN
app01-4642	131	2	polytechnica	polytechnica	PROPN
app01-4642	131	3	ctu	ctu	NOUN
app01-4642	131	4	proceedings	proceeding	NOUN
app01-4642	131	5	4	4	NUM
app01-4642	131	6	.	.	PUNCT
app01-4642	131	7	conclusions	conclusion	NOUN
app01-4642	131	8	finally	finally	ADV
app01-4642	131	9	,	,	PUNCT
app01-4642	131	10	we	we	PRON
app01-4642	131	11	would	would	AUX
app01-4642	131	12	like	like	VERB
app01-4642	131	13	to	to	PART
app01-4642	131	14	summarize	summarize	VERB
app01-4642	131	15	that	that	SCONJ
app01-4642	131	16	in	in	ADP
app01-4642	131	17	this	this	DET
app01-4642	131	18	paper	paper	NOUN
app01-4642	131	19	•	•	NOUN
app01-4642	131	20	we	we	PRON
app01-4642	131	21	verified	verify	VERB
app01-4642	131	22	the	the	DET
app01-4642	131	23	effective	effective	ADJ
app01-4642	131	24	thickness	thickness	NOUN
app01-4642	131	25	approaches	approach	NOUN
app01-4642	131	26	against	against	ADP
app01-4642	131	27	the	the	DET
app01-4642	131	28	finite	finite	PROPN
app01-4642	131	29	element	element	NOUN
app01-4642	131	30	complex	complex	ADJ
app01-4642	131	31	-	-	PUNCT
app01-4642	131	32	eigenvalue	eigenvalue	NOUN
app01-4642	131	33	solver	solver	NOUN
app01-4642	131	34	,	,	PUNCT
app01-4642	131	35	and	and	CCONJ
app01-4642	131	36	•	•	X
app01-4642	131	37	we	we	PRON
app01-4642	131	38	proposed	propose	VERB
app01-4642	131	39	a	a	DET
app01-4642	131	40	new	new	ADJ
app01-4642	131	41	dynamic	dynamic	ADJ
app01-4642	131	42	effective	effective	ADJ
app01-4642	131	43	thickness	thickness	NOUN
app01-4642	131	44	concept	concept	NOUN
app01-4642	131	45	derived	derive	VERB
app01-4642	131	46	from	from	ADP
app01-4642	131	47	[	[	X
app01-4642	131	48	7	7	NUM
app01-4642	131	49	]	]	PUNCT
app01-4642	131	50	.	.	PUNCT
app01-4642	132	1	it	it	PRON
app01-4642	132	2	follows	follow	VERB
app01-4642	132	3	from	from	ADP
app01-4642	132	4	our	our	PRON
app01-4642	132	5	comparison	comparison	NOUN
app01-4642	132	6	that	that	SCONJ
app01-4642	132	7	this	this	PRON
app01-4642	132	8	extended	extended	ADJ
app01-4642	132	9	enhanced	enhance	VERB
app01-4642	132	10	effective	effective	ADJ
app01-4642	132	11	thickness	thickness	NOUN
app01-4642	132	12	method	method	NOUN
app01-4642	132	13	•	•	NUM
app01-4642	132	14	provides	provide	VERB
app01-4642	132	15	the	the	DET
app01-4642	132	16	same	same	ADJ
app01-4642	132	17	results	result	NOUN
app01-4642	132	18	for	for	ADP
app01-4642	132	19	the	the	DET
app01-4642	132	20	simply	simply	ADV
app01-4642	132	21	-	-	PUNCT
app01-4642	132	22	supported	support	VERB
app01-4642	132	23	beam	beam	NOUN
app01-4642	132	24	as	as	ADP
app01-4642	132	25	the	the	DET
app01-4642	132	26	dynamic	dynamic	ADJ
app01-4642	132	27	effective	effective	ADJ
app01-4642	132	28	thickness	thickness	NOUN
app01-4642	132	29	from	from	ADP
app01-4642	132	30	[	[	X
app01-4642	132	31	6	6	NUM
app01-4642	132	32	]	]	PUNCT
app01-4642	132	33	with	with	ADP
app01-4642	132	34	the	the	DET
app01-4642	132	35	errors	error	NOUN
app01-4642	132	36	less	less	ADJ
app01-4642	132	37	than	than	ADP
app01-4642	132	38	1	1	NUM
app01-4642	132	39	%	%	NOUN
app01-4642	132	40	in	in	ADP
app01-4642	132	41	natural	natural	ADJ
app01-4642	132	42	frequencies	frequency	NOUN
app01-4642	132	43	and	and	CCONJ
app01-4642	132	44	10	10	NUM
app01-4642	132	45	%	%	NOUN
app01-4642	132	46	in	in	ADP
app01-4642	132	47	loss	loss	NOUN
app01-4642	132	48	factors	factor	NOUN
app01-4642	132	49	,	,	PUNCT
app01-4642	132	50	and	and	CCONJ
app01-4642	132	51	•	•	ADV
app01-4642	132	52	improves	improve	VERB
app01-4642	132	53	the	the	DET
app01-4642	132	54	estimates	estimate	NOUN
app01-4642	132	55	of	of	ADP
app01-4642	132	56	natural	natural	ADJ
app01-4642	132	57	frequencies	frequency	NOUN
app01-4642	132	58	and	and	CCONJ
app01-4642	132	59	loss	loss	NOUN
app01-4642	132	60	factors	factor	NOUN
app01-4642	132	61	for	for	ADP
app01-4642	132	62	the	the	DET
app01-4642	132	63	other	other	ADJ
app01-4642	132	64	two	two	NUM
app01-4642	132	65	boundary	boundary	ADJ
app01-4642	132	66	conditions	condition	NOUN
app01-4642	132	67	with	with	ADP
app01-4642	132	68	the	the	DET
app01-4642	132	69	errors	error	NOUN
app01-4642	132	70	less	less	ADJ
app01-4642	132	71	than	than	ADP
app01-4642	132	72	3	3	NUM
app01-4642	132	73	%	%	NOUN
app01-4642	132	74	in	in	ADP
app01-4642	132	75	natural	natural	ADJ
app01-4642	132	76	frequencies	frequency	NOUN
app01-4642	132	77	and	and	CCONJ
app01-4642	132	78	19	19	NUM
app01-4642	132	79	%	%	NOUN
app01-4642	132	80	in	in	ADP
app01-4642	132	81	loss	loss	NOUN
app01-4642	132	82	factors	factor	NOUN
app01-4642	132	83	.	.	PUNCT
app01-4642	133	1	in	in	ADP
app01-4642	133	2	our	our	PRON
app01-4642	133	3	future	future	ADJ
app01-4642	133	4	work	work	NOUN
app01-4642	133	5	,	,	PUNCT
app01-4642	133	6	we	we	PRON
app01-4642	133	7	would	would	AUX
app01-4642	133	8	like	like	VERB
app01-4642	133	9	to	to	PART
app01-4642	133	10	justify	justify	VERB
app01-4642	133	11	this	this	DET
app01-4642	133	12	intuitive	intuitive	ADJ
app01-4642	133	13	approach	approach	NOUN
app01-4642	133	14	by	by	ADP
app01-4642	133	15	rigorously	rigorously	ADV
app01-4642	133	16	extending	extend	VERB
app01-4642	133	17	the	the	DET
app01-4642	133	18	variationally	variationally	ADV
app01-4642	133	19	-	-	PUNCT
app01-4642	133	20	based	base	VERB
app01-4642	133	21	derivation	derivation	NOUN
app01-4642	133	22	of	of	ADP
app01-4642	133	23	the	the	DET
app01-4642	133	24	effective	effective	ADJ
app01-4642	133	25	thickness	thickness	NOUN
app01-4642	133	26	from	from	ADP
app01-4642	133	27	[	[	X
app01-4642	133	28	7	7	NUM
app01-4642	133	29	]	]	PUNCT
app01-4642	133	30	to	to	ADP
app01-4642	133	31	the	the	DET
app01-4642	133	32	dynamic	dynamic	ADJ
app01-4642	133	33	problems	problem	NOUN
app01-4642	133	34	.	.	PUNCT
app01-4642	134	1	acknowledgements	acknowledgement	NOUN
app01-4642	134	2	this	this	DET
app01-4642	134	3	publication	publication	NOUN
app01-4642	134	4	was	be	AUX
app01-4642	134	5	supported	support	VERB
app01-4642	134	6	by	by	ADP
app01-4642	134	7	the	the	DET
app01-4642	134	8	czech	czech	PROPN
app01-4642	134	9	science	science	PROPN
app01-4642	134	10	foundation	foundation	PROPN
app01-4642	134	11	,	,	PUNCT
app01-4642	134	12	the	the	DET
app01-4642	134	13	grant	grant	NOUN
app01-4642	134	14	no	no	INTJ
app01-4642	134	15	.	.	NOUN
app01-4642	134	16	16	16	NUM
app01-4642	134	17	-	-	PUNCT
app01-4642	134	18	14770s	14770s	NUM
app01-4642	134	19	and	and	CCONJ
app01-4642	134	20	by	by	ADP
app01-4642	134	21	the	the	DET
app01-4642	134	22	grant	grant	PROPN
app01-4642	134	23	agency	agency	NOUN
app01-4642	134	24	of	of	ADP
app01-4642	134	25	the	the	DET
app01-4642	134	26	czech	czech	PROPN
app01-4642	134	27	technical	technical	PROPN
app01-4642	134	28	university	university	PROPN
app01-4642	134	29	in	in	ADP
app01-4642	134	30	prague	prague	PROPN
app01-4642	134	31	,	,	PUNCT
app01-4642	134	32	grant	grant	VERB
app01-4642	134	33	no	no	INTJ
app01-4642	134	34	.	.	PUNCT
app01-4642	135	1	sgs17/043	sgs17/043	VERB
app01-4642	135	2	/	/	SYM
app01-4642	135	3	ohk1/1t/11	ohk1/1t/11	PROPN
app01-4642	135	4	.	.	PUNCT
app01-4642	136	1	references	reference	NOUN
app01-4642	136	2	[	[	X
app01-4642	136	3	1	1	NUM
app01-4642	136	4	]	]	PUNCT
app01-4642	136	5	m.	m.	NOUN
app01-4642	136	6	haldimann	haldimann	PROPN
app01-4642	136	7	,	,	PUNCT
app01-4642	136	8	a.	a.	NOUN
app01-4642	136	9	luible	luible	ADJ
app01-4642	136	10	,	,	PUNCT
app01-4642	136	11	m.	m.	NOUN
app01-4642	136	12	overend	overend	PROPN
app01-4642	136	13	.	.	PUNCT
app01-4642	137	1	structural	structural	ADJ
app01-4642	137	2	use	use	NOUN
app01-4642	137	3	of	of	ADP
app01-4642	137	4	glass	glass	NOUN
app01-4642	137	5	,	,	PUNCT
app01-4642	137	6	vol	vol	NOUN
app01-4642	137	7	.	.	PROPN
app01-4642	137	8	10	10	NUM
app01-4642	137	9	of	of	ADP
app01-4642	137	10	structural	structural	ADJ
app01-4642	137	11	engineering	engineering	NOUN
app01-4642	137	12	documents	document	NOUN
app01-4642	137	13	.	.	PUNCT
app01-4642	138	1	iabse	iabse	PROPN
app01-4642	138	2	,	,	PUNCT
app01-4642	138	3	zürich	zürich	PROPN
app01-4642	138	4	,	,	PUNCT
app01-4642	138	5	switzerland	switzerland	PROPN
app01-4642	138	6	,	,	PUNCT
app01-4642	138	7	2008	2008	NUM
app01-4642	138	8	.	.	PUNCT
app01-4642	139	1	[	[	X
app01-4642	139	2	2	2	X
app01-4642	139	3	]	]	PUNCT
app01-4642	139	4	z.	z.	PROPN
app01-4642	139	5	huang	huang	PROPN
app01-4642	139	6	,	,	PUNCT
app01-4642	139	7	z.	z.	PROPN
app01-4642	139	8	qin	qin	PROPN
app01-4642	139	9	,	,	PUNCT
app01-4642	139	10	f.	f.	PROPN
app01-4642	139	11	chu	chu	PROPN
app01-4642	139	12	.	.	PUNCT
app01-4642	140	1	damping	damp	VERB
app01-4642	140	2	mechanism	mechanism	NOUN
app01-4642	140	3	of	of	ADP
app01-4642	140	4	elastic	elastic	ADJ
app01-4642	140	5	-	-	PUNCT
app01-4642	140	6	viscoelastic	viscoelastic	NOUN
app01-4642	140	7	-	-	PUNCT
app01-4642	140	8	elastic	elastic	ADJ
app01-4642	140	9	sandwich	sandwich	NOUN
app01-4642	140	10	structures	structure	NOUN
app01-4642	140	11	.	.	PUNCT
app01-4642	141	1	composite	composite	ADJ
app01-4642	141	2	structures	structure	NOUN
app01-4642	141	3	153:96–107	153:96–107	NUM
app01-4642	141	4	,	,	PUNCT
app01-4642	141	5	2016	2016	NUM
app01-4642	141	6	.	.	PUNCT
app01-4642	142	1	doi:10.1016	doi:10.1016	PROPN
app01-4642	142	2	/	/	SYM
app01-4642	142	3	j.compstruct.2016.05.105	j.compstruct.2016.05.105	PROPN
app01-4642	142	4	.	.	PUNCT
app01-4642	143	1	[	[	X
app01-4642	143	2	3	3	X
app01-4642	143	3	]	]	X
app01-4642	143	4	y.	y.	PROPN
app01-4642	143	5	shitanoki	shitanoki	PROPN
app01-4642	143	6	,	,	PUNCT
app01-4642	143	7	s.	s.	PROPN
app01-4642	143	8	bennison	bennison	PROPN
app01-4642	143	9	,	,	PUNCT
app01-4642	143	10	y.	y.	PROPN
app01-4642	143	11	koike	koike	PROPN
app01-4642	143	12	.	.	PUNCT
app01-4642	144	1	a	a	DET
app01-4642	144	2	practical	practical	ADJ
app01-4642	144	3	,	,	PUNCT
app01-4642	144	4	nondestructive	nondestructive	ADJ
app01-4642	144	5	method	method	NOUN
app01-4642	144	6	to	to	PART
app01-4642	144	7	determine	determine	VERB
app01-4642	144	8	the	the	DET
app01-4642	144	9	shear	shear	NOUN
app01-4642	144	10	relaxation	relaxation	NOUN
app01-4642	144	11	modulus	modulus	NOUN
app01-4642	144	12	behavior	behavior	NOUN
app01-4642	144	13	of	of	ADP
app01-4642	144	14	polymeric	polymeric	ADJ
app01-4642	144	15	interlayers	interlayer	NOUN
app01-4642	144	16	for	for	ADP
app01-4642	144	17	laminated	laminated	ADJ
app01-4642	144	18	glass	glass	NOUN
app01-4642	144	19	.	.	PUNCT
app01-4642	145	1	polymer	polymer	NOUN
app01-4642	145	2	testing	testing	NOUN
app01-4642	145	3	37:59–67	37:59–67	NUM
app01-4642	145	4	,	,	PUNCT
app01-4642	145	5	2014	2014	NUM
app01-4642	145	6	.	.	PUNCT
app01-4642	146	1	doi:10.1016	doi:10.1016	PROPN
app01-4642	146	2	/	/	SYM
app01-4642	146	3	j.polymertesting.2014.04.011	j.polymertesting.2014.04.011	PROPN
app01-4642	146	4	.	.	PUNCT
app01-4642	147	1	[	[	X
app01-4642	147	2	4	4	NUM
app01-4642	147	3	]	]	X
app01-4642	147	4	i.	i.	PROPN
app01-4642	147	5	mohagheghian	mohagheghian	PROPN
app01-4642	147	6	,	,	PUNCT
app01-4642	147	7	y.	y.	PROPN
app01-4642	147	8	wang	wang	PROPN
app01-4642	147	9	,	,	PUNCT
app01-4642	147	10	l.	l.	PROPN
app01-4642	147	11	jiang	jiang	PROPN
app01-4642	147	12	,	,	PUNCT
app01-4642	147	13	et	et	PROPN
app01-4642	147	14	al	al	PROPN
app01-4642	147	15	.	.	PUNCT
app01-4642	147	16	quasi	quasi	ADJ
app01-4642	147	17	-	-	ADJ
app01-4642	147	18	static	static	ADJ
app01-4642	147	19	bending	bending	NOUN
app01-4642	147	20	and	and	CCONJ
app01-4642	147	21	low	low	ADJ
app01-4642	147	22	velocity	velocity	NOUN
app01-4642	147	23	impact	impact	NOUN
app01-4642	147	24	performance	performance	NOUN
app01-4642	147	25	of	of	ADP
app01-4642	147	26	monolithic	monolithic	ADJ
app01-4642	147	27	and	and	CCONJ
app01-4642	147	28	laminated	laminated	ADJ
app01-4642	147	29	glass	glass	NOUN
app01-4642	147	30	windows	window	NOUN
app01-4642	147	31	employing	employ	VERB
app01-4642	147	32	chemically	chemically	ADV
app01-4642	147	33	strengthened	strengthen	VERB
app01-4642	147	34	glass	glass	NOUN
app01-4642	147	35	.	.	PUNCT
app01-4642	148	1	european	european	PROPN
app01-4642	148	2	journal	journal	PROPN
app01-4642	148	3	of	of	ADP
app01-4642	148	4	mechanics	mechanic	NOUN
app01-4642	148	5	–	–	PUNCT
app01-4642	148	6	a	a	DET
app01-4642	148	7	/	/	SYM
app01-4642	148	8	solids	solid	NOUN
app01-4642	148	9	63:165–186	63:165–186	NOUN
app01-4642	148	10	,	,	PUNCT
app01-4642	148	11	2017	2017	NUM
app01-4642	148	12	.	.	PUNCT
app01-4642	149	1	doi:10.1016	doi:10.1016	PROPN
app01-4642	149	2	/	/	SYM
app01-4642	149	3	j.euromechsol.2017.01.006	j.euromechsol.2017.01.006	PROPN
app01-4642	149	4	.	.	PUNCT
app01-4642	150	1	[	[	X
app01-4642	150	2	5	5	NUM
app01-4642	150	3	]	]	X
app01-4642	150	4	l.	l.	PROPN
app01-4642	150	5	andreozzi	andreozzi	PROPN
app01-4642	150	6	,	,	PUNCT
app01-4642	150	7	s.	s.	PROPN
app01-4642	150	8	b.	b.	PROPN
app01-4642	150	9	bati	bati	PROPN
app01-4642	150	10	,	,	PUNCT
app01-4642	150	11	m.	m.	NOUN
app01-4642	150	12	fagone	fagone	PROPN
app01-4642	150	13	,	,	PUNCT
app01-4642	150	14	et	et	PROPN
app01-4642	150	15	al	al	PROPN
app01-4642	150	16	.	.	PUNCT
app01-4642	150	17	dynamic	dynamic	ADJ
app01-4642	150	18	torsion	torsion	NOUN
app01-4642	150	19	tests	test	NOUN
app01-4642	150	20	to	to	PART
app01-4642	150	21	characterize	characterize	VERB
app01-4642	150	22	the	the	DET
app01-4642	150	23	thermo	thermo	NOUN
app01-4642	150	24	-	-	PUNCT
app01-4642	150	25	viscoelastic	viscoelastic	ADJ
app01-4642	150	26	properties	property	NOUN
app01-4642	150	27	of	of	ADP
app01-4642	150	28	polymeric	polymeric	ADJ
app01-4642	150	29	interlayers	interlayer	NOUN
app01-4642	150	30	for	for	ADP
app01-4642	150	31	laminated	laminated	ADJ
app01-4642	150	32	glass	glass	NOUN
app01-4642	150	33	.	.	PUNCT
app01-4642	151	1	construction	construction	NOUN
app01-4642	151	2	and	and	CCONJ
app01-4642	151	3	building	building	NOUN
app01-4642	151	4	materials	material	NOUN
app01-4642	151	5	65:1–13	65:1–13	NUM
app01-4642	151	6	,	,	PUNCT
app01-4642	151	7	2014	2014	NUM
app01-4642	151	8	.	.	PUNCT
app01-4642	152	1	doi:10.1016	doi:10.1016	PROPN
app01-4642	152	2	/	/	SYM
app01-4642	152	3	j.conbuildmat.2014.04.003	j.conbuildmat.2014.04.003	PROPN
app01-4642	152	4	.	.	PUNCT
app01-4642	153	1	[	[	X
app01-4642	153	2	6	6	NUM
app01-4642	153	3	]	]	PUNCT
app01-4642	153	4	m.	m.	NOUN
app01-4642	153	5	lópez	lópez	PROPN
app01-4642	153	6	-	-	PUNCT
app01-4642	153	7	aenlle	aenlle	PROPN
app01-4642	153	8	,	,	PUNCT
app01-4642	153	9	f.	f.	PROPN
app01-4642	153	10	pelayo	pelayo	PROPN
app01-4642	153	11	.	.	PUNCT
app01-4642	154	1	dynamic	dynamic	ADJ
app01-4642	154	2	effective	effective	ADJ
app01-4642	154	3	thickness	thickness	NOUN
app01-4642	154	4	in	in	ADP
app01-4642	154	5	laminated	laminate	VERB
app01-4642	154	6	-	-	PUNCT
app01-4642	154	7	glass	glass	NOUN
app01-4642	154	8	beams	beam	NOUN
app01-4642	154	9	and	and	CCONJ
app01-4642	154	10	plates	plate	NOUN
app01-4642	154	11	.	.	PUNCT
app01-4642	155	1	composites	composite	NOUN
app01-4642	155	2	:	:	PUNCT
app01-4642	155	3	part	part	NOUN
app01-4642	155	4	b	b	PROPN
app01-4642	155	5	67:332–347	67:332–347	PROPN
app01-4642	155	6	,	,	PUNCT
app01-4642	155	7	2014	2014	NUM
app01-4642	155	8	.	.	PUNCT
app01-4642	156	1	[	[	X
app01-4642	156	2	7	7	X
app01-4642	156	3	]	]	X
app01-4642	156	4	l.	l.	PROPN
app01-4642	156	5	galuppi	galuppi	PROPN
app01-4642	156	6	,	,	PUNCT
app01-4642	156	7	g.	g.	PROPN
app01-4642	156	8	f.	f.	PROPN
app01-4642	156	9	royer	royer	PROPN
app01-4642	156	10	-	-	PUNCT
app01-4642	156	11	carfagni	carfagni	PROPN
app01-4642	156	12	.	.	PUNCT
app01-4642	157	1	effective	effective	ADJ
app01-4642	157	2	thickness	thickness	NOUN
app01-4642	157	3	of	of	ADP
app01-4642	157	4	laminated	laminated	ADJ
app01-4642	157	5	glass	glass	NOUN
app01-4642	157	6	beams	beam	NOUN
app01-4642	157	7	:	:	PUNCT
app01-4642	157	8	new	new	ADJ
app01-4642	157	9	expression	expression	NOUN
app01-4642	157	10	via	via	ADP
app01-4642	157	11	a	a	DET
app01-4642	157	12	variational	variational	ADJ
app01-4642	157	13	approach	approach	NOUN
app01-4642	157	14	.	.	PUNCT
app01-4642	158	1	engineering	engineering	NOUN
app01-4642	158	2	structures	structure	NOUN
app01-4642	158	3	38:53	38:53	NUM
app01-4642	158	4	–	–	PUNCT
app01-4642	158	5	67	67	NUM
app01-4642	158	6	,	,	PUNCT
app01-4642	158	7	2012	2012	NUM
app01-4642	158	8	.	.	PUNCT
app01-4642	159	1	doi:10.1016	doi:10.1016	PROPN
app01-4642	159	2	/	/	SYM
app01-4642	159	3	j.engstruct.2011.12.039	j.engstruct.2011.12.039	PROPN
app01-4642	159	4	.	.	PUNCT
app01-4642	160	1	[	[	X
app01-4642	160	2	8	8	NUM
app01-4642	160	3	]	]	X
app01-4642	160	4	l.	l.	PROPN
app01-4642	160	5	galuppi	galuppi	PROPN
app01-4642	160	6	,	,	PUNCT
app01-4642	160	7	g.	g.	PROPN
app01-4642	160	8	royer	royer	PROPN
app01-4642	160	9	-	-	PUNCT
app01-4642	160	10	carfagni	carfagni	PROPN
app01-4642	160	11	.	.	PUNCT
app01-4642	161	1	the	the	DET
app01-4642	161	2	effective	effective	ADJ
app01-4642	161	3	thickness	thickness	NOUN
app01-4642	161	4	of	of	ADP
app01-4642	161	5	laminated	laminated	ADJ
app01-4642	161	6	glass	glass	NOUN
app01-4642	161	7	:	:	PUNCT
app01-4642	161	8	inconsistency	inconsistency	NOUN
app01-4642	161	9	of	of	ADP
app01-4642	161	10	the	the	DET
app01-4642	161	11	formulation	formulation	NOUN
app01-4642	161	12	in	in	ADP
app01-4642	161	13	a	a	DET
app01-4642	161	14	proposal	proposal	NOUN
app01-4642	161	15	of	of	ADP
app01-4642	161	16	en	en	NOUN
app01-4642	161	17	-	-	NOUN
app01-4642	161	18	standards	standard	NOUN
app01-4642	161	19	.	.	PUNCT
app01-4642	162	1	composites	composite	VERB
app01-4642	162	2	part	part	NOUN
app01-4642	162	3	b	b	NOUN
app01-4642	162	4	:	:	PUNCT
app01-4642	162	5	engineering	engineer	VERB
app01-4642	162	6	55:109–118	55:109–118	NUM
app01-4642	162	7	,	,	PUNCT
app01-4642	162	8	2013	2013	NUM
app01-4642	162	9	.	.	PUNCT
app01-4642	163	1	[	[	X
app01-4642	163	2	9	9	NUM
app01-4642	163	3	]	]	PUNCT
app01-4642	163	4	f.	f.	PROPN
app01-4642	163	5	pelayo	pelayo	PROPN
app01-4642	163	6	,	,	PUNCT
app01-4642	163	7	m.	m.	NOUN
app01-4642	163	8	lópez	lópez	PROPN
app01-4642	163	9	-	-	PUNCT
app01-4642	163	10	aenlle	aenlle	NOUN
app01-4642	163	11	.	.	PUNCT
app01-4642	163	12	natural	natural	ADJ
app01-4642	163	13	frequencies	frequency	NOUN
app01-4642	163	14	and	and	CCONJ
app01-4642	163	15	damping	damp	VERB
app01-4642	163	16	ratios	ratio	NOUN
app01-4642	163	17	of	of	ADP
app01-4642	163	18	multi	multi	ADJ
app01-4642	163	19	-	-	ADJ
app01-4642	163	20	layered	layered	ADJ
app01-4642	163	21	laminated	laminate	VERB
app01-4642	163	22	glass	glass	NOUN
app01-4642	163	23	beams	beam	NOUN
app01-4642	163	24	using	use	VERB
app01-4642	163	25	a	a	DET
app01-4642	163	26	dynamic	dynamic	ADJ
app01-4642	163	27	effective	effective	ADJ
app01-4642	163	28	thickness	thickness	NOUN
app01-4642	163	29	.	.	PUNCT
app01-4642	164	1	journal	journal	PROPN
app01-4642	164	2	of	of	ADP
app01-4642	164	3	sandwich	sandwich	NOUN
app01-4642	164	4	structures	structure	NOUN
app01-4642	164	5	and	and	CCONJ
app01-4642	164	6	materials	material	NOUN
app01-4642	164	7	0:1–25	0:1–25	NOUN
app01-4642	164	8	,	,	PUNCT
app01-4642	164	9	2017	2017	NUM
app01-4642	164	10	.	.	PUNCT
app01-4642	165	1	doi:10.1177/1099636217695479	doi:10.1177/1099636217695479	PROPN
app01-4642	165	2	.	.	PUNCT
app01-4642	166	1	[	[	X
app01-4642	166	2	10	10	NUM
app01-4642	166	3	]	]	PUNCT
app01-4642	166	4	k.	k.	PROPN
app01-4642	166	5	schreiber	schreiber	PROPN
app01-4642	166	6	.	.	PUNCT
app01-4642	167	1	nonlinear	nonlinear	PROPN
app01-4642	167	2	eigenvalue	eigenvalue	PROPN
app01-4642	167	3	problems	problem	NOUN
app01-4642	167	4	:	:	PUNCT
app01-4642	167	5	newton	newton	NOUN
app01-4642	167	6	-	-	PUNCT
app01-4642	167	7	type	type	NOUN
app01-4642	167	8	methods	method	NOUN
app01-4642	167	9	and	and	CCONJ
app01-4642	167	10	nonlinear	nonlinear	ADJ
app01-4642	167	11	rayleigh	rayleigh	PROPN
app01-4642	167	12	functionals	functional	NOUN
app01-4642	167	13	.	.	PUNCT
app01-4642	168	1	ph.d	ph.d	PROPN
app01-4642	168	2	.	.	PUNCT
app01-4642	169	1	thesis	thesis	NOUN
app01-4642	169	2	,	,	PUNCT
app01-4642	169	3	technischen	technischen	NOUN
app01-4642	169	4	universitat	universitat	ADJ
app01-4642	169	5	berlin	berlin	PROPN
app01-4642	169	6	,	,	PUNCT
app01-4642	169	7	2008	2008	NUM
app01-4642	169	8	.	.	PUNCT
app01-4642	170	1	[	[	X
app01-4642	170	2	11	11	NUM
app01-4642	170	3	]	]	PUNCT
app01-4642	170	4	r.	r.	PROPN
app01-4642	170	5	w.	w.	PROPN
app01-4642	170	6	clough	clough	PROPN
app01-4642	170	7	,	,	PUNCT
app01-4642	170	8	j.	j.	PROPN
app01-4642	170	9	penzien	penzien	PROPN
app01-4642	170	10	.	.	PUNCT
app01-4642	170	11	dynamics	dynamic	NOUN
app01-4642	170	12	of	of	ADP
app01-4642	170	13	structures	structure	NOUN
app01-4642	170	14	.	.	PUNCT
app01-4642	171	1	computers	computer	NOUN
app01-4642	171	2	&	&	CCONJ
app01-4642	171	3	structures	structure	NOUN
app01-4642	171	4	,	,	PUNCT
app01-4642	171	5	inc	inc	PROPN
app01-4642	171	6	,	,	PUNCT
app01-4642	171	7	2003	2003	NUM
app01-4642	171	8	.	.	PUNCT
app01-4642	172	1	114	114	NUM
app01-4642	172	2	http://dx.doi.org/10.1016/j.compstruct.2016.05.105	http://dx.doi.org/10.1016/j.compstruct.2016.05.105	PROPN
app01-4642	172	3	http://dx.doi.org/10.1016/j.polymertesting.2014.04.011	http://dx.doi.org/10.1016/j.polymertesting.2014.04.011	NOUN
app01-4642	172	4	http://dx.doi.org/10.1016/j.euromechsol.2017.01.006	http://dx.doi.org/10.1016/j.euromechsol.2017.01.006	ADJ
app01-4642	172	5	http://dx.doi.org/10.1016/j.conbuildmat.2014.04.003	http://dx.doi.org/10.1016/j.conbuildmat.2014.04.003	PROPN
app01-4642	172	6	http://dx.doi.org/10.1016/j.engstruct.2011.12.039	http://dx.doi.org/10.1016/j.engstruct.2011.12.039	PROPN
app01-4642	172	7	http://dx.doi.org/10.1177/1099636217695479	http://dx.doi.org/10.1177/1099636217695479	PROPN
app01-4642	172	8	acta	acta	PROPN
app01-4642	172	9	polytechnica	polytechnica	PROPN
app01-4642	172	10	ctu	ctu	NOUN
app01-4642	172	11	proceedings	proceeding	NOUN
app01-4642	172	12	13:110–115	13:110–115	NUM
app01-4642	172	13	,	,	PUNCT
app01-4642	172	14	2017	2017	NUM
app01-4642	172	15	1	1	NUM
app01-4642	172	16	motivation	motivation	NOUN
app01-4642	172	17	2	2	NUM
app01-4642	172	18	methods	method	NOUN
app01-4642	172	19	2.1	2.1	NUM
app01-4642	172	20	reference	reference	NOUN
app01-4642	172	21	method	method	NOUN
app01-4642	172	22	(	(	PUNCT
app01-4642	172	23	rm	rm	NOUN
app01-4642	172	24	)	)	PUNCT
app01-4642	172	25	2.2	2.2	NUM
app01-4642	172	26	dynamic	dynamic	ADJ
app01-4642	172	27	effective	effective	ADJ
app01-4642	172	28	thickness	thickness	NOUN
app01-4642	172	29	(	(	PUNCT
app01-4642	172	30	det	det	PROPN
app01-4642	172	31	)	)	PUNCT
app01-4642	172	32	2.3	2.3	NUM
app01-4642	172	33	enhanced	enhance	VERB
app01-4642	172	34	effective	effective	ADJ
app01-4642	172	35	thickness	thickness	NOUN
app01-4642	172	36	(	(	PUNCT
app01-4642	172	37	eet	eet	X
app01-4642	172	38	)	)	PUNCT
app01-4642	172	39	3	3	NUM
app01-4642	172	40	comparison	comparison	NOUN
app01-4642	172	41	of	of	ADP
app01-4642	172	42	methods	method	NOUN
app01-4642	172	43	3.1	3.1	NUM
app01-4642	172	44	examples	example	NOUN
app01-4642	172	45	3.2	3.2	NUM
app01-4642	172	46	evaluation	evaluation	NOUN
app01-4642	172	47	of	of	ADP
app01-4642	172	48	shape	shape	NOUN
app01-4642	172	49	coefficients	coefficient	VERB
app01-4642	172	50	3.3	3.3	NUM
app01-4642	172	51	results	result	NOUN
app01-4642	172	52	and	and	CCONJ
app01-4642	172	53	discussion	discussion	NOUN
app01-4642	172	54	4	4	NUM
app01-4642	172	55	conclusions	conclusion	NOUN
app01-4642	172	56	acknowledgements	acknowledgement	NOUN
app01-4642	172	57	references	reference	NOUN