id	sid	tid	token	lemma	pos
ap-1065	1	1	ap08_6.vp	ap08_6.vp	NOUN
ap-1065	1	2	1	1	NUM
ap-1065	1	3	introduction	introduction	NOUN
ap-1065	1	4	glass	glass	NOUN
ap-1065	1	5	is	be	AUX
ap-1065	1	6	the	the	DET
ap-1065	1	7	most	most	ADV
ap-1065	1	8	frequently	frequently	ADV
ap-1065	1	9	used	use	VERB
ap-1065	1	10	transparent	transparent	ADJ
ap-1065	1	11	material	material	NOUN
ap-1065	1	12	in	in	ADP
ap-1065	1	13	the	the	DET
ap-1065	1	14	building	building	NOUN
ap-1065	1	15	envelopes	envelope	NOUN
ap-1065	1	16	.	.	PUNCT
ap-1065	2	1	it	it	PRON
ap-1065	2	2	is	be	AUX
ap-1065	2	3	a	a	DET
ap-1065	2	4	fragile	fragile	ADJ
ap-1065	2	5	material	material	NOUN
ap-1065	2	6	,	,	PUNCT
ap-1065	2	7	which	which	PRON
ap-1065	2	8	fails	fail	VERB
ap-1065	2	9	in	in	ADP
ap-1065	2	10	a	a	DET
ap-1065	2	11	brittle	brittle	ADJ
ap-1065	2	12	manner	manner	NOUN
ap-1065	2	13	.	.	PUNCT
ap-1065	3	1	for	for	ADP
ap-1065	3	2	this	this	DET
ap-1065	3	3	reason	reason	NOUN
ap-1065	3	4	,	,	PUNCT
ap-1065	3	5	safety	safety	NOUN
ap-1065	3	6	glasses	glass	NOUN
ap-1065	3	7	are	be	AUX
ap-1065	3	8	used	use	VERB
ap-1065	3	9	in	in	ADP
ap-1065	3	10	a	a	DET
ap-1065	3	11	situation	situation	NOUN
ap-1065	3	12	when	when	SCONJ
ap-1065	3	13	there	there	PRON
ap-1065	3	14	is	be	VERB
ap-1065	3	15	a	a	DET
ap-1065	3	16	possibility	possibility	NOUN
ap-1065	3	17	of	of	ADP
ap-1065	3	18	human	human	ADJ
ap-1065	3	19	impact	impact	NOUN
ap-1065	3	20	or	or	CCONJ
ap-1065	3	21	where	where	SCONJ
ap-1065	3	22	the	the	DET
ap-1065	3	23	glass	glass	NOUN
ap-1065	3	24	could	could	AUX
ap-1065	3	25	fall	fall	VERB
ap-1065	3	26	if	if	SCONJ
ap-1065	3	27	shattered	shatter	VERB
ap-1065	3	28	.	.	PUNCT
ap-1065	4	1	laminated	laminated	ADJ
ap-1065	4	2	glass	glass	NOUN
ap-1065	4	3	is	be	AUX
ap-1065	4	4	a	a	DET
ap-1065	4	5	multi	multi	ADJ
ap-1065	4	6	-	-	ADJ
ap-1065	4	7	layer	layer	ADJ
ap-1065	4	8	material	material	NOUN
ap-1065	4	9	produced	produce	VERB
ap-1065	4	10	by	by	ADP
ap-1065	4	11	bonding	bond	VERB
ap-1065	4	12	two	two	NUM
ap-1065	4	13	or	or	CCONJ
ap-1065	4	14	more	more	ADJ
ap-1065	4	15	layers	layer	NOUN
ap-1065	4	16	of	of	ADP
ap-1065	4	17	glass	glass	NOUN
ap-1065	4	18	together	together	ADV
ap-1065	4	19	with	with	ADP
ap-1065	4	20	a	a	DET
ap-1065	4	21	plastic	plastic	ADJ
ap-1065	4	22	interlayer	interlayer	NOUN
ap-1065	4	23	,	,	PUNCT
ap-1065	4	24	typically	typically	ADV
ap-1065	4	25	made	make	VERB
ap-1065	4	26	of	of	ADP
ap-1065	4	27	polyvinyl	polyvinyl	NOUN
ap-1065	4	28	butyral	butyral	ADJ
ap-1065	4	29	(	(	PUNCT
ap-1065	4	30	pvb	pvb	PROPN
ap-1065	4	31	)	)	PUNCT
ap-1065	4	32	.	.	PUNCT
ap-1065	5	1	the	the	DET
ap-1065	5	2	interlayer	interlayer	NOUN
ap-1065	5	3	keeps	keep	VERB
ap-1065	5	4	the	the	DET
ap-1065	5	5	layers	layer	NOUN
ap-1065	5	6	of	of	ADP
ap-1065	5	7	glass	glass	NOUN
ap-1065	5	8	bonded	bond	VERB
ap-1065	5	9	even	even	ADV
ap-1065	5	10	when	when	SCONJ
ap-1065	5	11	broken	break	VERB
ap-1065	5	12	,	,	PUNCT
ap-1065	5	13	and	and	CCONJ
ap-1065	5	14	its	its	PRON
ap-1065	5	15	high	high	ADJ
ap-1065	5	16	strength	strength	NOUN
ap-1065	5	17	prevents	prevent	VERB
ap-1065	5	18	the	the	DET
ap-1065	5	19	glass	glass	NOUN
ap-1065	5	20	from	from	ADP
ap-1065	5	21	breaking	break	VERB
ap-1065	5	22	up	up	ADP
ap-1065	5	23	into	into	ADP
ap-1065	5	24	large	large	ADJ
ap-1065	5	25	sharp	sharp	ADJ
ap-1065	5	26	pieces	piece	NOUN
ap-1065	5	27	.	.	PUNCT
ap-1065	6	1	this	this	PRON
ap-1065	6	2	produces	produce	VERB
ap-1065	6	3	a	a	DET
ap-1065	6	4	characteristic	characteristic	ADJ
ap-1065	6	5	“	"	PUNCT
ap-1065	6	6	spider	spider	NOUN
ap-1065	6	7	web	web	NOUN
ap-1065	6	8	”	"	PUNCT
ap-1065	6	9	cracking	cracking	NOUN
ap-1065	6	10	pattern	pattern	NOUN
ap-1065	6	11	when	when	SCONJ
ap-1065	6	12	the	the	DET
ap-1065	6	13	impact	impact	NOUN
ap-1065	6	14	is	be	AUX
ap-1065	6	15	not	not	PART
ap-1065	6	16	powerful	powerful	ADJ
ap-1065	6	17	enough	enough	ADV
ap-1065	6	18	to	to	PART
ap-1065	6	19	completely	completely	ADV
ap-1065	6	20	pierce	pierce	VERB
ap-1065	6	21	the	the	DET
ap-1065	6	22	glass	glass	NOUN
ap-1065	6	23	.	.	PUNCT
ap-1065	7	1	multiple	multiple	ADJ
ap-1065	7	2	laminae	laminae	NOUN
ap-1065	7	3	and	and	CCONJ
ap-1065	7	4	thicker	thick	ADJ
ap-1065	7	5	glass	glass	NOUN
ap-1065	7	6	decrease	decrease	NOUN
ap-1065	7	7	the	the	DET
ap-1065	7	8	stress	stress	NOUN
ap-1065	7	9	level	level	NOUN
ap-1065	7	10	,	,	PUNCT
ap-1065	7	11	thereby	thereby	ADV
ap-1065	7	12	also	also	ADV
ap-1065	7	13	increasing	increase	VERB
ap-1065	7	14	the	the	DET
ap-1065	7	15	load	load	NOUN
ap-1065	7	16	-	-	PUNCT
ap-1065	7	17	carrying	carry	VERB
ap-1065	7	18	capacity	capacity	NOUN
ap-1065	7	19	of	of	ADP
ap-1065	7	20	the	the	DET
ap-1065	7	21	structural	structural	ADJ
ap-1065	7	22	member	member	NOUN
ap-1065	7	23	.	.	PUNCT
ap-1065	8	1	the	the	DET
ap-1065	8	2	focus	focus	NOUN
ap-1065	8	3	of	of	ADP
ap-1065	8	4	this	this	DET
ap-1065	8	5	study	study	NOUN
ap-1065	8	6	is	be	AUX
ap-1065	8	7	on	on	ADP
ap-1065	8	8	the	the	DET
ap-1065	8	9	establishing	establish	VERB
ap-1065	8	10	a	a	DET
ap-1065	8	11	simple	simple	ADJ
ap-1065	8	12	and	and	CCONJ
ap-1065	8	13	versatile	versatile	ADJ
ap-1065	8	14	framework	framework	NOUN
ap-1065	8	15	for	for	ADP
ap-1065	8	16	an	an	DET
ap-1065	8	17	analysis	analysis	NOUN
ap-1065	8	18	of	of	ADP
ap-1065	8	19	the	the	DET
ap-1065	8	20	mechanical	mechanical	ADJ
ap-1065	8	21	behavior	behavior	NOUN
ap-1065	8	22	of	of	ADP
ap-1065	8	23	laminated	laminated	ADJ
ap-1065	8	24	glass	glass	NOUN
ap-1065	8	25	units	unit	NOUN
ap-1065	8	26	.	.	PUNCT
ap-1065	9	1	to	to	PART
ap-1065	9	2	keep	keep	VERB
ap-1065	9	3	the	the	DET
ap-1065	9	4	discussion	discussion	NOUN
ap-1065	9	5	compact	compact	ADJ
ap-1065	9	6	,	,	PUNCT
ap-1065	9	7	we	we	PRON
ap-1065	9	8	restrict	restrict	VERB
ap-1065	9	9	our	our	PRON
ap-1065	9	10	attention	attention	NOUN
ap-1065	9	11	to	to	ADP
ap-1065	9	12	the	the	DET
ap-1065	9	13	linearly	linearly	ADV
ap-1065	9	14	elastic	elastic	ADJ
ap-1065	9	15	response	response	NOUN
ap-1065	9	16	of	of	ADP
ap-1065	9	17	layered	layered	ADJ
ap-1065	9	18	glass	glass	NOUN
ap-1065	9	19	beams	beam	NOUN
ap-1065	9	20	in	in	ADP
ap-1065	9	21	the	the	DET
ap-1065	9	22	small	small	ADJ
ap-1065	9	23	strain	strain	NOUN
ap-1065	9	24	regime	regime	NOUN
ap-1065	9	25	.	.	PUNCT
ap-1065	10	1	the	the	DET
ap-1065	10	2	rest	rest	NOUN
ap-1065	10	3	of	of	ADP
ap-1065	10	4	the	the	DET
ap-1065	10	5	paper	paper	NOUN
ap-1065	10	6	is	be	AUX
ap-1065	10	7	organized	organize	VERB
ap-1065	10	8	as	as	SCONJ
ap-1065	10	9	follows	follow	VERB
ap-1065	10	10	.	.	PUNCT
ap-1065	11	1	methods	method	NOUN
ap-1065	11	2	for	for	ADP
ap-1065	11	3	an	an	DET
ap-1065	11	4	analysis	analysis	NOUN
ap-1065	11	5	of	of	ADP
ap-1065	11	6	laminated	laminated	ADJ
ap-1065	11	7	glass	glass	NOUN
ap-1065	11	8	beams	beam	NOUN
ap-1065	11	9	are	be	AUX
ap-1065	11	10	introduced	introduce	VERB
ap-1065	11	11	in	in	ADP
ap-1065	11	12	section	section	NOUN
ap-1065	11	13	2	2	NUM
ap-1065	11	14	,	,	PUNCT
ap-1065	11	15	together	together	ADV
ap-1065	11	16	with	with	ADP
ap-1065	11	17	a	a	DET
ap-1065	11	18	brief	brief	ADJ
ap-1065	11	19	characterization	characterization	NOUN
ap-1065	11	20	of	of	ADP
ap-1065	11	21	the	the	DET
ap-1065	11	22	proposed	propose	VERB
ap-1065	11	23	numerical	numerical	PROPN
ap-1065	11	24	model	model	PROPN
ap-1065	11	25	.	.	PUNCT
ap-1065	12	1	the	the	DET
ap-1065	12	2	principles	principle	NOUN
ap-1065	12	3	of	of	ADP
ap-1065	12	4	the	the	DET
ap-1065	12	5	method	method	NOUN
ap-1065	12	6	are	be	AUX
ap-1065	12	7	described	describe	VERB
ap-1065	12	8	in	in	ADP
ap-1065	12	9	detail	detail	NOUN
ap-1065	12	10	in	in	ADP
ap-1065	12	11	sections	section	NOUN
ap-1065	12	12	3	3	NUM
ap-1065	12	13	and	and	CCONJ
ap-1065	12	14	4	4	NUM
ap-1065	12	15	.	.	PUNCT
ap-1065	13	1	in	in	ADP
ap-1065	13	2	particular	particular	ADJ
ap-1065	13	3	,	,	PUNCT
ap-1065	13	4	the	the	DET
ap-1065	13	5	mechanical	mechanical	ADJ
ap-1065	13	6	formulation	formulation	NOUN
ap-1065	13	7	of	of	ADP
ap-1065	13	8	the	the	DET
ap-1065	13	9	model	model	NOUN
ap-1065	13	10	is	be	AUX
ap-1065	13	11	shown	show	VERB
ap-1065	13	12	in	in	ADP
ap-1065	13	13	section	section	NOUN
ap-1065	13	14	3	3	NUM
ap-1065	13	15	.	.	PUNCT
ap-1065	13	16	finite	finite	PROPN
ap-1065	13	17	element	element	PROPN
ap-1065	13	18	discretization	discretization	NOUN
ap-1065	13	19	is	be	AUX
ap-1065	13	20	presented	present	VERB
ap-1065	13	21	in	in	ADP
ap-1065	13	22	section	section	NOUN
ap-1065	13	23	4	4	NUM
ap-1065	13	24	.	.	PUNCT
ap-1065	14	1	in	in	ADP
ap-1065	14	2	section	section	NOUN
ap-1065	14	3	5	5	NUM
ap-1065	14	4	,	,	PUNCT
ap-1065	14	5	the	the	DET
ap-1065	14	6	proposed	propose	VERB
ap-1065	14	7	numerical	numerical	ADJ
ap-1065	14	8	technique	technique	NOUN
ap-1065	14	9	is	be	AUX
ap-1065	14	10	verified	verify	VERB
ap-1065	14	11	and	and	CCONJ
ap-1065	14	12	validated	validate	VERB
ap-1065	14	13	against	against	ADP
ap-1065	14	14	a	a	DET
ap-1065	14	15	reference	reference	NOUN
ap-1065	14	16	analytical	analytical	ADJ
ap-1065	14	17	solution	solution	NOUN
ap-1065	14	18	and	and	CCONJ
ap-1065	14	19	publicly	publicly	ADV
ap-1065	14	20	available	available	ADJ
ap-1065	14	21	experimental	experimental	ADJ
ap-1065	14	22	data	datum	NOUN
ap-1065	14	23	.	.	PUNCT
ap-1065	15	1	finally	finally	ADV
ap-1065	15	2	,	,	PUNCT
ap-1065	15	3	section	section	NOUN
ap-1065	15	4	6	6	NUM
ap-1065	15	5	concludes	conclude	VERB
ap-1065	15	6	the	the	DET
ap-1065	15	7	paper	paper	NOUN
ap-1065	15	8	and	and	CCONJ
ap-1065	15	9	discusses	discuss	VERB
ap-1065	15	10	future	future	ADJ
ap-1065	15	11	extensions	extension	NOUN
ap-1065	15	12	of	of	ADP
ap-1065	15	13	the	the	DET
ap-1065	15	14	method	method	NOUN
ap-1065	15	15	.	.	PUNCT
ap-1065	16	1	2	2	NUM
ap-1065	16	2	brief	brief	ADJ
ap-1065	16	3	overview	overview	NOUN
ap-1065	16	4	of	of	ADP
ap-1065	16	5	available	available	ADJ
ap-1065	16	6	methods	method	NOUN
ap-1065	16	7	the	the	DET
ap-1065	16	8	most	most	ADV
ap-1065	16	9	frequent	frequent	ADJ
ap-1065	16	10	approach	approach	NOUN
ap-1065	16	11	to	to	ADP
ap-1065	16	12	the	the	DET
ap-1065	16	13	analysis	analysis	NOUN
ap-1065	16	14	of	of	ADP
ap-1065	16	15	glass	glass	NOUN
ap-1065	16	16	structural	structural	ADJ
ap-1065	16	17	elements	element	NOUN
ap-1065	16	18	was	be	AUX
ap-1065	16	19	,	,	PUNCT
ap-1065	16	20	for	for	ADP
ap-1065	16	21	a	a	DET
ap-1065	16	22	long	long	ADJ
ap-1065	16	23	time	time	NOUN
ap-1065	16	24	,	,	PUNCT
ap-1065	16	25	based	base	VERB
ap-1065	16	26	on	on	ADP
ap-1065	16	27	empirical	empirical	ADJ
ap-1065	16	28	knowledge	knowledge	NOUN
ap-1065	16	29	.	.	PUNCT
ap-1065	17	1	such	such	ADJ
ap-1065	17	2	relations	relation	NOUN
ap-1065	17	3	are	be	AUX
ap-1065	17	4	sufficient	sufficient	ADJ
ap-1065	17	5	for	for	ADP
ap-1065	17	6	the	the	DET
ap-1065	17	7	design	design	NOUN
ap-1065	17	8	of	of	ADP
ap-1065	17	9	traditional	traditional	ADJ
ap-1065	17	10	windows	window	NOUN
ap-1065	17	11	glasses	glass	NOUN
ap-1065	17	12	.	.	PUNCT
ap-1065	18	1	however	however	ADV
ap-1065	18	2	,	,	PUNCT
ap-1065	18	3	in	in	ADP
ap-1065	18	4	modern	modern	ADJ
ap-1065	18	5	architecture	architecture	NOUN
ap-1065	18	6	there	there	PRON
ap-1065	18	7	has	have	AUX
ap-1065	18	8	been	be	AUX
ap-1065	18	9	a	a	DET
ap-1065	18	10	steadily	steadily	ADV
ap-1065	18	11	growing	grow	VERB
ap-1065	18	12	demand	demand	NOUN
ap-1065	18	13	in	in	ADP
ap-1065	18	14	recent	recent	ADJ
ap-1065	18	15	decades	decade	NOUN
ap-1065	18	16	for	for	ADP
ap-1065	18	17	transparent	transparent	ADJ
ap-1065	18	18	materials	material	NOUN
ap-1065	18	19	for	for	ADP
ap-1065	18	20	large	large	ADJ
ap-1065	18	21	external	external	ADJ
ap-1065	18	22	walls	wall	NOUN
ap-1065	18	23	and	and	CCONJ
ap-1065	18	24	roof	roof	NOUN
ap-1065	18	25	systems	system	NOUN
ap-1065	18	26	.	.	PUNCT
ap-1065	19	1	therefore	therefore	ADV
ap-1065	19	2	,	,	PUNCT
ap-1065	19	3	a	a	DET
ap-1065	19	4	detailed	detailed	ADJ
ap-1065	19	5	analysis	analysis	NOUN
ap-1065	19	6	of	of	ADP
ap-1065	19	7	layered	layered	ADJ
ap-1065	19	8	glass	glass	NOUN
ap-1065	19	9	units	unit	NOUN
ap-1065	19	10	is	be	AUX
ap-1065	19	11	becoming	become	VERB
ap-1065	19	12	increasingly	increasingly	ADV
ap-1065	19	13	important	important	ADJ
ap-1065	19	14	in	in	ADP
ap-1065	19	15	order	order	NOUN
ap-1065	19	16	to	to	PART
ap-1065	19	17	ensure	ensure	VERB
ap-1065	19	18	reliable	reliable	ADJ
ap-1065	19	19	and	and	CCONJ
ap-1065	19	20	efficient	efficient	ADJ
ap-1065	19	21	design	design	NOUN
ap-1065	19	22	.	.	PUNCT
ap-1065	20	1	in	in	ADP
ap-1065	20	2	general	general	ADJ
ap-1065	20	3	,	,	PUNCT
ap-1065	20	4	the	the	DET
ap-1065	20	5	complex	complex	ADJ
ap-1065	20	6	behavior	behavior	NOUN
ap-1065	20	7	of	of	ADP
ap-1065	20	8	laminated	laminated	ADJ
ap-1065	20	9	glass	glass	NOUN
ap-1065	20	10	can	can	AUX
ap-1065	20	11	be	be	AUX
ap-1065	20	12	considered	consider	VERB
ap-1065	20	13	as	as	ADP
ap-1065	20	14	an	an	DET
ap-1065	20	15	intermediate	intermediate	ADJ
ap-1065	20	16	state	state	NOUN
ap-1065	20	17	of	of	ADP
ap-1065	20	18	two	two	NUM
ap-1065	20	19	limiting	limit	VERB
ap-1065	20	20	cases	case	NOUN
ap-1065	20	21	[	[	X
ap-1065	20	22	1	1	NUM
ap-1065	20	23	]	]	PUNCT
ap-1065	20	24	.	.	PUNCT
ap-1065	21	1	in	in	ADP
ap-1065	21	2	the	the	DET
ap-1065	21	3	first	first	ADJ
ap-1065	21	4	case	case	NOUN
ap-1065	21	5	,	,	PUNCT
ap-1065	21	6	the	the	DET
ap-1065	21	7	structure	structure	NOUN
ap-1065	21	8	is	be	AUX
ap-1065	21	9	treated	treat	VERB
ap-1065	21	10	as	as	ADP
ap-1065	21	11	an	an	DET
ap-1065	21	12	assembly	assembly	NOUN
ap-1065	21	13	of	of	ADP
ap-1065	21	14	two	two	NUM
ap-1065	21	15	independent	independent	ADJ
ap-1065	21	16	glass	glass	NOUN
ap-1065	21	17	plates	plate	NOUN
ap-1065	21	18	without	without	ADP
ap-1065	21	19	any	any	DET
ap-1065	21	20	interlayer	interlayer	NOUN
ap-1065	21	21	(	(	PUNCT
ap-1065	21	22	the	the	PRON
ap-1065	21	23	lower	lower	ADV
ap-1065	21	24	bound	bind	VERB
ap-1065	21	25	on	on	ADP
ap-1065	21	26	stiffness	stiffness	NOUN
ap-1065	21	27	and	and	CCONJ
ap-1065	21	28	strength	strength	NOUN
ap-1065	21	29	of	of	ADP
ap-1065	21	30	a	a	DET
ap-1065	21	31	member	member	NOUN
ap-1065	21	32	)	)	PUNCT
ap-1065	21	33	,	,	PUNCT
ap-1065	21	34	while	while	SCONJ
ap-1065	21	35	in	in	ADP
ap-1065	21	36	the	the	DET
ap-1065	21	37	second	second	ADJ
ap-1065	21	38	case	case	NOUN
ap-1065	21	39	,	,	PUNCT
ap-1065	21	40	corresponding	correspond	VERB
ap-1065	21	41	to	to	ADP
ap-1065	21	42	the	the	DET
ap-1065	21	43	upper	upper	ADJ
ap-1065	21	44	estimate	estimate	NOUN
ap-1065	21	45	of	of	ADP
ap-1065	21	46	strength	strength	NOUN
ap-1065	21	47	and	and	CCONJ
ap-1065	21	48	stiffness	stiffness	NOUN
ap-1065	21	49	,	,	PUNCT
ap-1065	21	50	the	the	DET
ap-1065	21	51	glass	glass	NOUN
ap-1065	21	52	unit	unit	NOUN
ap-1065	21	53	is	be	AUX
ap-1065	21	54	modeled	model	VERB
ap-1065	21	55	as	as	ADP
ap-1065	21	56	monolithic	monolithic	ADJ
ap-1065	21	57	glass	glass	NOUN
ap-1065	21	58	(	(	PUNCT
ap-1065	21	59	one	one	NUM
ap-1065	21	60	glass	glass	NOUN
ap-1065	21	61	plate	plate	NOUN
ap-1065	21	62	equal	equal	ADJ
ap-1065	21	63	in	in	ADP
ap-1065	21	64	thickness	thickness	NOUN
ap-1065	21	65	to	to	ADP
ap-1065	21	66	the	the	DET
ap-1065	21	67	total	total	ADJ
ap-1065	21	68	thickness	thickness	NOUN
ap-1065	21	69	of	of	ADP
ap-1065	21	70	the	the	DET
ap-1065	21	71	glass	glass	NOUN
ap-1065	21	72	plates	plate	NOUN
ap-1065	21	73	)	)	PUNCT
ap-1065	21	74	.	.	PUNCT
ap-1065	22	1	both	both	DET
ap-1065	22	2	elementary	elementary	ADJ
ap-1065	22	3	cases	case	NOUN
ap-1065	22	4	,	,	PUNCT
ap-1065	22	5	however	however	ADV
ap-1065	22	6	,	,	PUNCT
ap-1065	22	7	fail	fail	VERB
ap-1065	22	8	to	to	PART
ap-1065	22	9	correctly	correctly	ADV
ap-1065	22	10	capture	capture	VERB
ap-1065	22	11	the	the	DET
ap-1065	22	12	complex	complex	ADJ
ap-1065	22	13	interaction	interaction	NOUN
ap-1065	22	14	among	among	ADP
ap-1065	22	15	the	the	DET
ap-1065	22	16	individual	individual	ADJ
ap-1065	22	17	layers	layer	NOUN
ap-1065	22	18	,	,	PUNCT
ap-1065	22	19	leading	lead	VERB
ap-1065	22	20	to	to	ADP
ap-1065	22	21	non	non	ADJ
ap-1065	22	22	-	-	ADJ
ap-1065	22	23	optimal	optimal	ADJ
ap-1065	22	24	layer	layer	NOUN
ap-1065	22	25	thickness	thickness	NOUN
ap-1065	22	26	designs	design	NOUN
ap-1065	22	27	.	.	PUNCT
ap-1065	23	1	therefore	therefore	ADV
ap-1065	23	2	,	,	PUNCT
ap-1065	23	3	several	several	ADJ
ap-1065	23	4	alternative	alternative	ADJ
ap-1065	23	5	approaches	approach	NOUN
ap-1065	23	6	to	to	ADP
ap-1065	23	7	the	the	DET
ap-1065	23	8	analysis	analysis	NOUN
ap-1065	23	9	of	of	ADP
ap-1065	23	10	layered	layered	ADJ
ap-1065	23	11	glass	glass	NOUN
ap-1065	23	12	structures	structure	NOUN
ap-1065	23	13	have	have	AUX
ap-1065	23	14	been	be	AUX
ap-1065	23	15	proposed	propose	VERB
ap-1065	23	16	in	in	ADP
ap-1065	23	17	the	the	DET
ap-1065	23	18	literature	literature	NOUN
ap-1065	23	19	.	.	PUNCT
ap-1065	24	1	these	these	DET
ap-1065	24	2	methods	method	NOUN
ap-1065	24	3	can	can	AUX
ap-1065	24	4	be	be	AUX
ap-1065	24	5	categorized	categorize	VERB
ap-1065	24	6	into	into	ADP
ap-1065	24	7	three	three	NUM
ap-1065	24	8	basic	basic	ADJ
ap-1065	24	9	groups	group	NOUN
ap-1065	24	10	:	:	PUNCT
ap-1065	24	11	�	�	PROPN
ap-1065	24	12	methods	method	NOUN
ap-1065	24	13	calibrated	calibrate	VERB
ap-1065	24	14	with	with	ADP
ap-1065	24	15	respect	respect	NOUN
ap-1065	24	16	to	to	ADP
ap-1065	24	17	experimental	experimental	ADJ
ap-1065	24	18	measurements	measurement	NOUN
ap-1065	24	19	[	[	X
ap-1065	24	20	2	2	NUM
ap-1065	24	21	]	]	PUNCT
ap-1065	24	22	,	,	PUNCT
ap-1065	24	23	�	�	PROPN
ap-1065	24	24	analytical	analytical	ADJ
ap-1065	24	25	approaches	approach	NOUN
ap-1065	24	26	[	[	X
ap-1065	24	27	3	3	NUM
ap-1065	24	28	,	,	PUNCT
ap-1065	24	29	4	4	NUM
ap-1065	24	30	,	,	PUNCT
ap-1065	24	31	5	5	NUM
ap-1065	24	32	]	]	PUNCT
ap-1065	24	33	,	,	PUNCT
ap-1065	24	34	�	�	PROPN
ap-1065	24	35	numerical	numerical	ADJ
ap-1065	24	36	models	model	NOUN
ap-1065	24	37	typically	typically	ADV
ap-1065	24	38	based	base	VERB
ap-1065	24	39	on	on	ADP
ap-1065	24	40	detailed	detailed	ADJ
ap-1065	24	41	finite	finite	ADJ
ap-1065	24	42	element	element	NOUN
ap-1065	24	43	simulations	simulation	NOUN
ap-1065	24	44	[	[	X
ap-1065	24	45	6	6	NUM
ap-1065	24	46	,	,	PUNCT
ap-1065	24	47	7	7	NUM
ap-1065	24	48	]	]	PUNCT
ap-1065	24	49	.	.	PUNCT
ap-1065	25	1	the	the	DET
ap-1065	25	2	applicability	applicability	NOUN
ap-1065	25	3	of	of	ADP
ap-1065	25	4	analytical	analytical	ADJ
ap-1065	25	5	approaches	approach	NOUN
ap-1065	25	6	to	to	ADP
ap-1065	25	7	practical	practical	ADJ
ap-1065	25	8	(	(	PUNCT
ap-1065	25	9	usually	usually	ADV
ap-1065	25	10	large	large	ADJ
ap-1065	25	11	-	-	PUNCT
ap-1065	25	12	scale	scale	NOUN
ap-1065	25	13	)	)	PUNCT
ap-1065	25	14	structures	structure	NOUN
ap-1065	25	15	is	be	AUX
ap-1065	25	16	far	far	ADV
ap-1065	25	17	from	from	ADP
ap-1065	25	18	being	be	AUX
ap-1065	25	19	straightforward	straightforward	ADJ
ap-1065	25	20	.	.	PUNCT
ap-1065	26	1	in	in	ADP
ap-1065	26	2	particular	particular	ADJ
ap-1065	26	3	,	,	PUNCT
ap-1065	26	4	the	the	DET
ap-1065	26	5	closed	close	VERB
ap-1065	26	6	-	-	PUNCT
ap-1065	26	7	form	form	NOUN
ap-1065	26	8	solution	solution	NOUN
ap-1065	26	9	of	of	ADP
ap-1065	26	10	the	the	DET
ap-1065	26	11	resulting	result	VERB
ap-1065	26	12	equations	equation	NOUN
ap-1065	26	13	is	be	AUX
ap-1065	26	14	possible	possible	ADJ
ap-1065	26	15	only	only	ADV
ap-1065	26	16	for	for	ADP
ap-1065	26	17	very	very	ADV
ap-1065	26	18	specific	specific	ADJ
ap-1065	26	19	boundary	boundary	ADJ
ap-1065	26	20	conditions	condition	NOUN
ap-1065	26	21	,	,	PUNCT
ap-1065	26	22	and	and	CCONJ
ap-1065	26	23	the	the	DET
ap-1065	26	24	equations	equation	NOUN
ap-1065	26	25	therefore	therefore	ADV
ap-1065	26	26	have	have	VERB
ap-1065	26	27	to	to	PART
ap-1065	26	28	be	be	AUX
ap-1065	26	29	solved	solve	VERB
ap-1065	26	30	by	by	ADP
ap-1065	26	31	an	an	DET
ap-1065	26	32	appropriate	appropriate	ADJ
ap-1065	26	33	numerical	numerical	ADJ
ap-1065	26	34	method	method	NOUN
ap-1065	26	35	.	.	PUNCT
ap-1065	27	1	moreover	moreover	ADV
ap-1065	27	2	,	,	PUNCT
ap-1065	27	3	the	the	DET
ap-1065	27	4	analytical	analytical	ADJ
ap-1065	27	5	approaches	approach	NOUN
ap-1065	27	6	are	be	AUX
ap-1065	27	7	rather	rather	ADV
ap-1065	27	8	difficult	difficult	ADJ
ap-1065	27	9	to	to	PART
ap-1065	27	10	generalize	generalize	VERB
ap-1065	27	11	to	to	ADP
ap-1065	27	12	beams	beam	NOUN
ap-1065	27	13	with	with	ADP
ap-1065	27	14	multiple	multiple	ADJ
ap-1065	27	15	layers	layer	NOUN
ap-1065	27	16	.	.	PUNCT
ap-1065	28	1	therefore	therefore	ADV
ap-1065	28	2	,	,	PUNCT
ap-1065	28	3	it	it	PRON
ap-1065	28	4	appears	appear	VERB
ap-1065	28	5	to	to	PART
ap-1065	28	6	be	be	AUX
ap-1065	28	7	advantageous	advantageous	ADJ
ap-1065	28	8	to	to	PART
ap-1065	28	9	formulate	formulate	VERB
ap-1065	28	10	the	the	DET
ap-1065	28	11	problem	problem	NOUN
ap-1065	28	12	directly	directly	ADV
ap-1065	28	13	in	in	ADP
ap-1065	28	14	the	the	DET
ap-1065	28	15	discretized	discretized	ADJ
ap-1065	28	16	form	form	NOUN
ap-1065	28	17	,	,	PUNCT
ap-1065	28	18	typically	typically	ADV
ap-1065	28	19	based	base	VERB
ap-1065	28	20	on	on	ADP
ap-1065	28	21	the	the	DET
ap-1065	28	22	finite	finite	PROPN
ap-1065	28	23	element	element	NOUN
ap-1065	28	24	method	method	NOUN
ap-1065	28	25	(	(	PUNCT
ap-1065	28	26	fem	fem	PROPN
ap-1065	28	27	)	)	PUNCT
ap-1065	28	28	.	.	PUNCT
ap-1065	29	1	nevertheless	nevertheless	ADV
ap-1065	29	2	,	,	PUNCT
ap-1065	29	3	we	we	PRON
ap-1065	29	4	would	would	AUX
ap-1065	29	5	like	like	VERB
ap-1065	29	6	to	to	PART
ap-1065	29	7	avoid	avoid	VERB
ap-1065	29	8	fully	fully	ADV
ap-1065	29	9	resolved	resolve	VERB
ap-1065	29	10	twoor	twoor	ADJ
ap-1065	29	11	three	three	NUM
ap-1065	29	12	-	-	PUNCT
ap-1065	29	13	dimensional	dimensional	ADJ
ap-1065	29	14	simulations	simulation	NOUN
ap-1065	29	15	,	,	PUNCT
ap-1065	29	16	cf	cf	NOUN
ap-1065	29	17	.	.	PUNCT
ap-1065	30	1	[	[	X
ap-1065	30	2	6	6	NUM
ap-1065	30	3	,	,	PUNCT
ap-1065	30	4	7	7	NUM
ap-1065	30	5	]	]	PUNCT
ap-1065	30	6	,	,	PUNCT
ap-1065	30	7	which	which	PRON
ap-1065	30	8	lead	lead	VERB
ap-1065	30	9	to	to	ADP
ap-1065	30	10	unnecessarily	unnecessarily	ADV
ap-1065	30	11	expensive	expensive	ADJ
ap-1065	30	12	calculations	calculation	NOUN
ap-1065	30	13	.	.	PUNCT
ap-1065	31	1	in	in	ADP
ap-1065	31	2	this	this	DET
ap-1065	31	3	paper	paper	NOUN
ap-1065	31	4	,	,	PUNCT
ap-1065	31	5	we	we	PRON
ap-1065	31	6	propose	propose	VERB
ap-1065	31	7	a	a	DET
ap-1065	31	8	simple	simple	ADJ
ap-1065	31	9	fem	fem	NOUN
ap-1065	31	10	model	model	NOUN
ap-1065	31	11	inspired	inspire	VERB
ap-1065	31	12	by	by	ADP
ap-1065	31	13	a	a	DET
ap-1065	31	14	specific	specific	ADJ
ap-1065	31	15	class	class	NOUN
ap-1065	31	16	of	of	ADP
ap-1065	31	17	refined	refined	ADJ
ap-1065	31	18	plate	plate	NOUN
ap-1065	31	19	theories	theory	NOUN
ap-1065	31	20	[	[	X
ap-1065	31	21	8	8	NUM
ap-1065	31	22	,	,	PUNCT
ap-1065	31	23	9	9	NUM
ap-1065	31	24	,	,	PUNCT
ap-1065	31	25	10	10	NUM
ap-1065	31	26	]	]	PUNCT
ap-1065	31	27	.	.	PUNCT
ap-1065	32	1	in	in	ADP
ap-1065	32	2	this	this	DET
ap-1065	32	3	framework	framework	NOUN
ap-1065	32	4	,	,	PUNCT
ap-1065	32	5	each	each	DET
ap-1065	32	6	layer	layer	NOUN
ap-1065	32	7	is	be	AUX
ap-1065	32	8	treated	treat	VERB
ap-1065	32	9	as	as	ADP
ap-1065	32	10	a	a	DET
ap-1065	32	11	timoshenko	timoshenko	ADJ
ap-1065	32	12	beam	beam	NOUN
ap-1065	32	13	with	with	ADP
ap-1065	32	14	independent	independent	ADJ
ap-1065	32	15	kinematics	kinematic	NOUN
ap-1065	32	16	.	.	PUNCT
ap-1065	33	1	the	the	DET
ap-1065	33	2	interaction	interaction	NOUN
ap-1065	33	3	between	between	ADP
ap-1065	33	4	the	the	DET
ap-1065	33	5	individual	individual	ADJ
ap-1065	33	6	layers	layer	NOUN
ap-1065	33	7	is	be	AUX
ap-1065	33	8	captured	capture	VERB
ap-1065	33	9	by	by	ADP
ap-1065	33	10	the	the	DET
ap-1065	33	11	lagrange	lagrange	NOUN
ap-1065	33	12	multipliers	multiplier	NOUN
ap-1065	33	13	(	(	PUNCT
ap-1065	33	14	with	with	ADP
ap-1065	33	15	a	a	DET
ap-1065	33	16	physical	physical	ADJ
ap-1065	33	17	meaning	meaning	NOUN
ap-1065	33	18	of	of	ADP
ap-1065	33	19	shear	shear	NOUN
ap-1065	33	20	stresses	stress	NOUN
ap-1065	33	21	)	)	PUNCT
ap-1065	33	22	,	,	PUNCT
ap-1065	33	23	which	which	PRON
ap-1065	33	24	result	result	VERB
ap-1065	33	25	from	from	ADP
ap-1065	33	26	the	the	DET
ap-1065	33	27	conditions	condition	NOUN
ap-1065	33	28	of	of	ADP
ap-1065	33	29	the	the	DET
ap-1065	33	30	compatibility	compatibility	NOUN
ap-1065	33	31	of	of	ADP
ap-1065	33	32	the	the	DET
ap-1065	33	33	inter	inter	ADJ
ap-1065	33	34	-	-	ADJ
ap-1065	33	35	layer	layer	ADJ
ap-1065	33	36	displacements	displacement	NOUN
ap-1065	33	37	.	.	PUNCT
ap-1065	34	1	such	such	DET
ap-1065	34	2	a	a	DET
ap-1065	34	3	refined	refined	ADJ
ap-1065	34	4	approach	approach	NOUN
ap-1065	34	5	circumvents	circumvent	VERB
ap-1065	34	6	the	the	DET
ap-1065	34	7	limitation	limitation	NOUN
ap-1065	34	8	of	of	ADP
ap-1065	34	9	similar	similar	ADJ
ap-1065	34	10	models	model	NOUN
ap-1065	34	11	available	available	ADJ
ap-1065	34	12	in	in	ADP
ap-1065	34	13	typical	typical	ADJ
ap-1065	34	14	commercial	commercial	ADJ
ap-1065	34	15	fem	fem	NOUN
ap-1065	34	16	systems	system	NOUN
ap-1065	34	17	,	,	PUNCT
ap-1065	34	18	which	which	PRON
ap-1065	34	19	employ	employ	VERB
ap-1065	34	20	a	a	DET
ap-1065	34	21	single	single	ADJ
ap-1065	34	22	set	set	NOUN
ap-1065	34	23	of	of	ADP
ap-1065	34	24	kinematic	kinematic	ADJ
ap-1065	34	25	variables	variable	NOUN
ap-1065	34	26	and	and	CCONJ
ap-1065	34	27	average	average	VERB
ap-1065	34	28	the	the	DET
ap-1065	34	29	mechanical	mechanical	ADJ
ap-1065	34	30	response	response	NOUN
ap-1065	34	31	through	through	ADP
ap-1065	34	32	the	the	DET
ap-1065	34	33	thickness	thickness	NOUN
ap-1065	34	34	of	of	ADP
ap-1065	34	35	the	the	DET
ap-1065	34	36	beam	beam	NOUN
ap-1065	34	37	,	,	PUNCT
ap-1065	34	38	e.g.	e.g.	ADV
ap-1065	34	39	[	[	X
ap-1065	34	40	11	11	NUM
ap-1065	34	41	]	]	PUNCT
ap-1065	34	42	.	.	PUNCT
ap-1065	35	1	unlike	unlike	ADP
ap-1065	35	2	the	the	DET
ap-1065	35	3	proposed	propose	VERB
ap-1065	35	4	approach	approach	NOUN
ap-1065	35	5	,	,	PUNCT
ap-1065	35	6	the	the	DET
ap-1065	35	7	averaging	averaging	NOUN
ap-1065	35	8	operation	operation	NOUN
ap-1065	35	9	is	be	AUX
ap-1065	35	10	too	too	ADV
ap-1065	35	11	coarse	coarse	ADJ
ap-1065	35	12	to	to	PART
ap-1065	35	13	correctly	correctly	ADV
ap-1065	35	14	represent	represent	VERB
ap-1065	35	15	the	the	DET
ap-1065	35	16	inter	inter	ADJ
ap-1065	35	17	-	-	ADJ
ap-1065	35	18	layer	layer	NOUN
ap-1065	35	19	interactions	interaction	NOUN
ap-1065	35	20	,	,	PUNCT
ap-1065	35	21	see	see	VERB
ap-1065	35	22	section	section	NOUN
ap-1065	35	23	5	5	NUM
ap-1065	35	24	for	for	ADP
ap-1065	35	25	a	a	DET
ap-1065	35	26	concrete	concrete	ADJ
ap-1065	35	27	example	example	NOUN
ap-1065	35	28	.	.	PUNCT
ap-1065	36	1	22	22	NUM
ap-1065	37	1	©	©	PROPN
ap-1065	37	2	czech	czech	PROPN
ap-1065	37	3	technical	technical	PROPN
ap-1065	37	4	university	university	PROPN
ap-1065	37	5	publishing	publishing	NOUN
ap-1065	37	6	house	house	NOUN
ap-1065	37	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1065	37	8	acta	acta	PROPN
ap-1065	37	9	polytechnica	polytechnica	PROPN
ap-1065	37	10	vol	vol	NOUN
ap-1065	37	11	.	.	PUNCT
ap-1065	38	1	48	48	NUM
ap-1065	38	2	no	no	NOUN
ap-1065	38	3	.	.	PUNCT
ap-1065	39	1	6/2008	6/2008	NUM
ap-1065	39	2	simple	simple	ADJ
ap-1065	39	3	numerical	numerical	ADJ
ap-1065	39	4	model	model	NOUN
ap-1065	39	5	of	of	ADP
ap-1065	39	6	laminated	laminate	VERB
ap-1065	39	7	glass	glass	NOUN
ap-1065	39	8	beams	beam	NOUN
ap-1065	39	9	a.	a.	NOUN
ap-1065	39	10	zemanová	zemanová	PROPN
ap-1065	39	11	,	,	PUNCT
ap-1065	39	12	j.	j.	PROPN
ap-1065	39	13	zeman	zeman	PROPN
ap-1065	39	14	,	,	PUNCT
ap-1065	39	15	m.	m.	NOUN
ap-1065	39	16	šejnoha	šejnoha	PROPN
ap-1065	39	17	this	this	DET
ap-1065	39	18	paper	paper	NOUN
ap-1065	39	19	presents	present	VERB
ap-1065	39	20	a	a	DET
ap-1065	39	21	simple	simple	ADJ
ap-1065	39	22	finite	finite	ADJ
ap-1065	39	23	element	element	NOUN
ap-1065	39	24	model	model	NOUN
ap-1065	39	25	aimed	aim	VERB
ap-1065	39	26	at	at	ADP
ap-1065	39	27	efficient	efficient	ADJ
ap-1065	39	28	simulation	simulation	NOUN
ap-1065	39	29	of	of	ADP
ap-1065	39	30	layered	layered	ADJ
ap-1065	39	31	glass	glass	NOUN
ap-1065	39	32	units	unit	NOUN
ap-1065	39	33	.	.	PUNCT
ap-1065	40	1	the	the	DET
ap-1065	40	2	approach	approach	NOUN
ap-1065	40	3	is	be	AUX
ap-1065	40	4	based	base	VERB
ap-1065	40	5	on	on	ADP
ap-1065	40	6	considering	consider	VERB
ap-1065	40	7	the	the	DET
ap-1065	40	8	independent	independent	ADJ
ap-1065	40	9	kinematics	kinematic	NOUN
ap-1065	40	10	of	of	ADP
ap-1065	40	11	each	each	DET
ap-1065	40	12	layer	layer	NOUN
ap-1065	40	13	,	,	PUNCT
ap-1065	40	14	tied	tie	VERB
ap-1065	40	15	together	together	ADV
ap-1065	40	16	via	via	ADP
ap-1065	40	17	lagrange	lagrange	NOUN
ap-1065	40	18	multipliers	multiplier	NOUN
ap-1065	40	19	.	.	PUNCT
ap-1065	41	1	validation	validation	NOUN
ap-1065	41	2	and	and	CCONJ
ap-1065	41	3	verification	verification	NOUN
ap-1065	41	4	of	of	ADP
ap-1065	41	5	the	the	DET
ap-1065	41	6	resulting	result	VERB
ap-1065	41	7	model	model	NOUN
ap-1065	41	8	against	against	ADP
ap-1065	41	9	independent	independent	ADJ
ap-1065	41	10	data	datum	NOUN
ap-1065	41	11	demonstrate	demonstrate	VERB
ap-1065	41	12	its	its	PRON
ap-1065	41	13	accuracy	accuracy	NOUN
ap-1065	41	14	,	,	PUNCT
ap-1065	41	15	showing	show	VERB
ap-1065	41	16	its	its	PRON
ap-1065	41	17	potential	potential	NOUN
ap-1065	41	18	for	for	ADP
ap-1065	41	19	generalization	generalization	NOUN
ap-1065	41	20	towards	towards	ADP
ap-1065	41	21	more	more	ADJ
ap-1065	41	22	complex	complex	ADJ
ap-1065	41	23	problems	problem	NOUN
ap-1065	41	24	.	.	PUNCT
ap-1065	42	1	keywords	keyword	NOUN
ap-1065	42	2	:	:	PUNCT
ap-1065	42	3	laminated	laminated	ADJ
ap-1065	42	4	glass	glass	NOUN
ap-1065	42	5	beams	beam	NOUN
ap-1065	42	6	,	,	PUNCT
ap-1065	42	7	finite	finite	ADJ
ap-1065	42	8	element	element	NOUN
ap-1065	42	9	method	method	NOUN
ap-1065	42	10	,	,	PUNCT
ap-1065	42	11	lagrange	lagrange	NOUN
ap-1065	42	12	multipliers	multiplier	NOUN
ap-1065	42	13	.	.	PUNCT
ap-1065	43	1	3	3	NUM
ap-1065	43	2	mechanical	mechanical	ADJ
ap-1065	43	3	model	model	NOUN
ap-1065	43	4	of	of	ADP
ap-1065	43	5	laminated	laminate	VERB
ap-1065	43	6	beams	beam	NOUN
ap-1065	43	7	as	as	SCONJ
ap-1065	43	8	illustrated	illustrate	VERB
ap-1065	43	9	in	in	ADP
ap-1065	43	10	fig	fig	NOUN
ap-1065	43	11	.	.	PUNCT
ap-1065	44	1	1	1	NUM
ap-1065	44	2	,	,	PUNCT
ap-1065	44	3	laminated	laminate	VERB
ap-1065	44	4	glasses	glass	NOUN
ap-1065	44	5	consist	consist	VERB
ap-1065	44	6	mostly	mostly	ADV
ap-1065	44	7	of	of	ADP
ap-1065	44	8	three	three	NUM
ap-1065	44	9	layers	layer	NOUN
ap-1065	44	10	.	.	PUNCT
ap-1065	45	1	a	a	DET
ap-1065	45	2	local	local	ADJ
ap-1065	45	3	coordinate	coordinate	NOUN
ap-1065	45	4	system	system	NOUN
ap-1065	45	5	is	be	AUX
ap-1065	45	6	attached	attach	VERB
ap-1065	45	7	to	to	ADP
ap-1065	45	8	each	each	DET
ap-1065	45	9	layer	layer	NOUN
ap-1065	45	10	to	to	PART
ap-1065	45	11	allow	allow	VERB
ap-1065	45	12	for	for	ADP
ap-1065	45	13	an	an	DET
ap-1065	45	14	efficient	efficient	ADJ
ap-1065	45	15	treatment	treatment	NOUN
ap-1065	45	16	of	of	ADP
ap-1065	45	17	independent	independent	ADJ
ap-1065	45	18	kinematics	kinematic	NOUN
ap-1065	45	19	.	.	PUNCT
ap-1065	46	1	in	in	ADP
ap-1065	46	2	the	the	DET
ap-1065	46	3	following	follow	VERB
ap-1065	46	4	text	text	NOUN
ap-1065	46	5	,	,	PUNCT
ap-1065	46	6	a	a	DET
ap-1065	46	7	quantity	quantity	NOUN
ap-1065	46	8	a	a	DET
ap-1065	46	9	expressed	express	VERB
ap-1065	46	10	in	in	ADP
ap-1065	46	11	the	the	DET
ap-1065	46	12	local	local	ADJ
ap-1065	46	13	coordinate	coordinate	NOUN
ap-1065	46	14	system	system	NOUN
ap-1065	46	15	associated	associate	VERB
ap-1065	46	16	with	with	ADP
ap-1065	46	17	the	the	DET
ap-1065	46	18	i	i	PROPN
ap-1065	46	19	-	-	PUNCT
ap-1065	46	20	th	th	VERB
ap-1065	46	21	layer	layer	NOUN
ap-1065	46	22	is	be	AUX
ap-1065	46	23	denoted	denote	VERB
ap-1065	46	24	as	as	ADP
ap-1065	46	25	a	a	DET
ap-1065	46	26	i	i	NOUN
ap-1065	46	27	(	(	PUNCT
ap-1065	46	28	)	)	PUNCT
ap-1065	46	29	,	,	PUNCT
ap-1065	46	30	whereas	whereas	SCONJ
ap-1065	46	31	a	a	DET
ap-1065	46	32	variable	variable	NOUN
ap-1065	46	33	without	without	ADP
ap-1065	46	34	an	an	DET
ap-1065	46	35	index	index	NOUN
ap-1065	46	36	represents	represent	VERB
ap-1065	46	37	a	a	DET
ap-1065	46	38	globally	globally	ADV
ap-1065	46	39	defined	define	VERB
ap-1065	46	40	quantity	quantity	NOUN
ap-1065	46	41	,	,	PUNCT
ap-1065	46	42	cf	cf	NOUN
ap-1065	46	43	.	.	PUNCT
ap-1065	46	44	fig	fig	NOUN
ap-1065	46	45	.	.	PUNCT
ap-1065	47	1	1	1	X
ap-1065	47	2	.	.	X
ap-1065	47	3	each	each	DET
ap-1065	47	4	layer	layer	NOUN
ap-1065	47	5	is	be	AUX
ap-1065	47	6	modeled	model	VERB
ap-1065	47	7	using	use	VERB
ap-1065	47	8	the	the	DET
ap-1065	47	9	timoshenko	timoshenko	ADJ
ap-1065	47	10	beam	beam	NOUN
ap-1065	47	11	theory	theory	NOUN
ap-1065	47	12	supplemented	supplement	VERB
ap-1065	47	13	with	with	ADP
ap-1065	47	14	membrane	membrane	NOUN
ap-1065	47	15	effects	effect	NOUN
ap-1065	47	16	.	.	PUNCT
ap-1065	48	1	hence	hence	ADV
ap-1065	48	2	,	,	PUNCT
ap-1065	48	3	the	the	DET
ap-1065	48	4	following	follow	VERB
ap-1065	48	5	kinematic	kinematic	ADJ
ap-1065	48	6	assumptions	assumption	NOUN
ap-1065	48	7	are	be	AUX
ap-1065	48	8	adopted	adopt	VERB
ap-1065	48	9	�	�	PROPN
ap-1065	48	10	the	the	DET
ap-1065	48	11	cross	cross	NOUN
ap-1065	48	12	sections	section	NOUN
ap-1065	48	13	remain	remain	VERB
ap-1065	48	14	planar	planar	ADJ
ap-1065	48	15	but	but	CCONJ
ap-1065	48	16	not	not	PART
ap-1065	48	17	necessarily	necessarily	ADV
ap-1065	48	18	perpendicular	perpendicular	ADJ
ap-1065	48	19	to	to	ADP
ap-1065	48	20	the	the	DET
ap-1065	48	21	deformed	deform	VERB
ap-1065	48	22	beam	beam	NOUN
ap-1065	48	23	axis	axis	NOUN
ap-1065	48	24	,	,	PUNCT
ap-1065	48	25	�	�	PROPN
ap-1065	48	26	the	the	DET
ap-1065	48	27	vertical	vertical	ADJ
ap-1065	48	28	displacement	displacement	NOUN
ap-1065	48	29	does	do	AUX
ap-1065	48	30	not	not	PART
ap-1065	48	31	vary	vary	VERB
ap-1065	48	32	along	along	ADP
ap-1065	48	33	the	the	DET
ap-1065	48	34	height	height	NOUN
ap-1065	48	35	of	of	ADP
ap-1065	48	36	the	the	DET
ap-1065	48	37	beam	beam	NOUN
ap-1065	48	38	(	(	PUNCT
ap-1065	48	39	when	when	SCONJ
ap-1065	48	40	compared	compare	VERB
ap-1065	48	41	to	to	ADP
ap-1065	48	42	the	the	DET
ap-1065	48	43	magnitude	magnitude	NOUN
ap-1065	48	44	of	of	ADP
ap-1065	48	45	the	the	DET
ap-1065	48	46	displacement	displacement	NOUN
ap-1065	48	47	)	)	PUNCT
ap-1065	48	48	.	.	PUNCT
ap-1065	49	1	under	under	ADP
ap-1065	49	2	these	these	DET
ap-1065	49	3	assumptions	assumption	NOUN
ap-1065	49	4	,	,	PUNCT
ap-1065	49	5	the	the	DET
ap-1065	49	6	non	non	ADJ
ap-1065	49	7	-	-	ADJ
ap-1065	49	8	zero	zero	ADJ
ap-1065	49	9	displacement	displacement	ADJ
ap-1065	49	10	components	component	NOUN
ap-1065	49	11	in	in	ADP
ap-1065	49	12	each	each	DET
ap-1065	49	13	layer	layer	NOUN
ap-1065	49	14	are	be	AUX
ap-1065	49	15	parametrized	parametrize	VERB
ap-1065	49	16	as	as	ADP
ap-1065	49	17	:	:	PUNCT
ap-1065	49	18	u	u	NOUN
ap-1065	49	19	x	x	NOUN
ap-1065	49	20	z	z	NOUN
ap-1065	49	21	u	u	NOUN
ap-1065	49	22	x	x	X
ap-1065	49	23	x	x	X
ap-1065	49	24	zi	zi	VERB
ap-1065	50	1	i	i	INTJ
ap-1065	50	2	i	i	PRON
ap-1065	51	1	i	i	PRON
ap-1065	51	2	i	i	PRON
ap-1065	51	3	(	(	PUNCT
ap-1065	51	4	)	)	PUNCT
ap-1065	51	5	(	(	PUNCT
ap-1065	51	6	)	)	PUNCT
ap-1065	51	7	(	(	PUNCT
ap-1065	51	8	)	)	PUNCT
ap-1065	51	9	(	(	PUNCT
ap-1065	51	10	)	)	PUNCT
ap-1065	51	11	(	(	PUNCT
ap-1065	51	12	)	)	PUNCT
ap-1065	51	13	(	(	PUNCT
ap-1065	51	14	,	,	PUNCT
ap-1065	51	15	)	)	PUNCT
ap-1065	51	16	(	(	PUNCT
ap-1065	51	17	,	,	PUNCT
ap-1065	51	18	)	)	PUNCT
ap-1065	51	19	(	(	PUNCT
ap-1065	51	20	)	)	PUNCT
ap-1065	51	21	�	�	PROPN
ap-1065	51	22	�	�	PROPN
ap-1065	51	23	0	0	NUM
ap-1065	51	24	�	�	PROPN
ap-1065	51	25	,	,	PUNCT
ap-1065	51	26	w	w	PROPN
ap-1065	51	27	x	x	X
ap-1065	51	28	z	z	VERB
ap-1065	51	29	w	w	PROPN
ap-1065	51	30	xi	xi	INTJ
ap-1065	51	31	i	i	PROPN
ap-1065	51	32	(	(	PUNCT
ap-1065	51	33	)	)	PUNCT
ap-1065	51	34	(	(	PUNCT
ap-1065	51	35	)	)	PUNCT
ap-1065	51	36	(	(	PUNCT
ap-1065	51	37	,	,	PUNCT
ap-1065	51	38	)	)	PUNCT
ap-1065	51	39	(	(	PUNCT
ap-1065	51	40	)	)	PUNCT
ap-1065	51	41	�	�	PROPN
ap-1065	51	42	,	,	PUNCT
ap-1065	51	43	where	where	SCONJ
ap-1065	51	44	i	i	PRON
ap-1065	51	45	�	�	VERB
ap-1065	51	46	1	1	NUM
ap-1065	51	47	2	2	NUM
ap-1065	51	48	3	3	NUM
ap-1065	51	49	,	,	PUNCT
ap-1065	51	50	,	,	PUNCT
ap-1065	51	51	and	and	CCONJ
ap-1065	51	52	z	z	NOUN
ap-1065	51	53	i	i	PRON
ap-1065	51	54	(	(	PUNCT
ap-1065	51	55	)	)	PUNCT
ap-1065	51	56	is	be	AUX
ap-1065	51	57	measured	measure	VERB
ap-1065	51	58	in	in	ADP
ap-1065	51	59	the	the	DET
ap-1065	51	60	local	local	ADJ
ap-1065	51	61	coordinate	coordinate	NOUN
ap-1065	51	62	system	system	NOUN
ap-1065	51	63	from	from	ADP
ap-1065	51	64	the	the	DET
ap-1065	51	65	middle	middle	ADJ
ap-1065	51	66	plane	plane	NOUN
ap-1065	51	67	of	of	ADP
ap-1065	51	68	the	the	DET
ap-1065	51	69	i	i	PROPN
ap-1065	51	70	-	-	PUNCT
ap-1065	51	71	th	th	VERB
ap-1065	51	72	layer	layer	NOUN
ap-1065	51	73	.	.	PUNCT
ap-1065	52	1	the	the	DET
ap-1065	52	2	inter	inter	ADJ
ap-1065	52	3	-	-	ADJ
ap-1065	52	4	layer	layer	ADJ
ap-1065	52	5	interaction	interaction	NOUN
ap-1065	52	6	is	be	AUX
ap-1065	52	7	ensured	ensure	VERB
ap-1065	52	8	via	via	ADP
ap-1065	52	9	the	the	DET
ap-1065	52	10	continuity	continuity	NOUN
ap-1065	52	11	conditions	condition	NOUN
ap-1065	52	12	specified	specify	VERB
ap-1065	52	13	on	on	ADP
ap-1065	52	14	the	the	DET
ap-1065	52	15	interfaces	interface	NOUN
ap-1065	52	16	between	between	ADP
ap-1065	52	17	the	the	DET
ap-1065	52	18	layers	layer	NOUN
ap-1065	52	19	in	in	ADP
ap-1065	52	20	the	the	DET
ap-1065	52	21	form	form	NOUN
ap-1065	52	22	(	(	PUNCT
ap-1065	52	23	i	i	NOUN
ap-1065	52	24	�	�	VERB
ap-1065	52	25	1	1	NUM
ap-1065	52	26	2	2	NUM
ap-1065	52	27	,	,	PUNCT
ap-1065	52	28	)	)	PUNCT
ap-1065	52	29	u	u	NOUN
ap-1065	52	30	x	x	NOUN
ap-1065	52	31	h	h	NOUN
ap-1065	53	1	u	u	NOUN
ap-1065	53	2	x	x	INTJ
ap-1065	53	3	hi	hi	INTJ
ap-1065	54	1	i	i	INTJ
ap-1065	54	2	i	i	PRON
ap-1065	55	1	i	i	INTJ
ap-1065	55	2	(	(	PUNCT
ap-1065	55	3	)	)	PUNCT
ap-1065	55	4	(	(	PUNCT
ap-1065	55	5	)	)	PUNCT
ap-1065	55	6	(	(	PUNCT
ap-1065	55	7	)	)	PUNCT
ap-1065	55	8	(	(	PUNCT
ap-1065	55	9	)	)	PUNCT
ap-1065	55	10	(	(	PUNCT
ap-1065	55	11	,	,	PUNCT
ap-1065	55	12	)	)	PUNCT
ap-1065	55	13	(	(	PUNCT
ap-1065	55	14	,	,	PUNCT
ap-1065	55	15	)	)	PUNCT
ap-1065	55	16	2	2	NUM
ap-1065	55	17	2	2	NUM
ap-1065	55	18	01	01	NUM
ap-1065	55	19	1	1	NUM
ap-1065	55	20	�	�	PROPN
ap-1065	55	21	�	�	PROPN
ap-1065	55	22	�	�	PROPN
ap-1065	55	23	�	�	PROPN
ap-1065	55	24	�	�	PROPN
ap-1065	55	25	.	.	PUNCT
ap-1065	56	1	(	(	PUNCT
ap-1065	56	2	1	1	X
ap-1065	56	3	)	)	PUNCT
ap-1065	56	4	the	the	DET
ap-1065	56	5	strain	strain	NOUN
ap-1065	56	6	field	field	NOUN
ap-1065	56	7	in	in	ADP
ap-1065	56	8	the	the	DET
ap-1065	56	9	i	i	PROPN
ap-1065	56	10	-	-	PUNCT
ap-1065	56	11	th	th	NOUN
ap-1065	56	12	layer	layer	NOUN
ap-1065	56	13	follows	follow	VERB
ap-1065	56	14	from	from	ADP
ap-1065	56	15	the	the	DET
ap-1065	56	16	strain	strain	NOUN
ap-1065	56	17	-	-	PUNCT
ap-1065	56	18	displacement	displacement	NOUN
ap-1065	56	19	relations	relation	NOUN
ap-1065	56	20	[	[	X
ap-1065	56	21	12	12	NUM
ap-1065	56	22	,	,	PUNCT
ap-1065	56	23	11	11	NUM
ap-1065	56	24	]	]	SYM
ap-1065	56	25	�	�	PROPN
ap-1065	56	26	�	�	PROPN
ap-1065	56	27	�	�	PROPN
ap-1065	56	28	�	�	PROPN
ap-1065	57	1	x	x	PUNCT
ap-1065	58	1	i	i	PRON
ap-1065	59	1	i	i	PRON
ap-1065	60	1	i	i	PRON
ap-1065	61	1	i	i	PRON
ap-1065	62	1	i	i	PRON
ap-1065	63	1	i	i	VERB
ap-1065	63	2	x	x	VERB
ap-1065	63	3	z	z	VERB
ap-1065	63	4	u	u	NOUN
ap-1065	63	5	x	x	X
ap-1065	63	6	x	x	X
ap-1065	63	7	z	z	PUNCT
ap-1065	63	8	u	u	NOUN
ap-1065	63	9	x	x	NOUN
ap-1065	63	10	x	x	SYM
ap-1065	63	11	x	x	X
ap-1065	63	12	(	(	PUNCT
ap-1065	63	13	)	)	PUNCT
ap-1065	63	14	(	(	PUNCT
ap-1065	63	15	)	)	PUNCT
ap-1065	63	16	(	(	PUNCT
ap-1065	63	17	)	)	PUNCT
ap-1065	63	18	(	(	PUNCT
ap-1065	63	19	)	)	PUNCT
ap-1065	63	20	(	(	PUNCT
ap-1065	63	21	)	)	PUNCT
ap-1065	63	22	(	(	PUNCT
ap-1065	63	23	)	)	PUNCT
ap-1065	63	24	(	(	PUNCT
ap-1065	63	25	,	,	PUNCT
ap-1065	63	26	)	)	PUNCT
ap-1065	63	27	(	(	PUNCT
ap-1065	63	28	,	,	PUNCT
ap-1065	63	29	)	)	PUNCT
ap-1065	63	30	(	(	PUNCT
ap-1065	63	31	,	,	PUNCT
ap-1065	63	32	)	)	PUNCT
ap-1065	63	33	�	�	PROPN
ap-1065	63	34	�	�	PROPN
ap-1065	63	35	�	�	PROPN
ap-1065	63	36	d	d	PROPN
ap-1065	63	37	d	d	PROPN
ap-1065	63	38	d	d	PROPN
ap-1065	63	39	d	d	PROPN
ap-1065	63	40	0	0	NUM
ap-1065	63	41	(	(	PUNCT
ap-1065	63	42	)	)	PUNCT
ap-1065	63	43	(	(	PUNCT
ap-1065	63	44	)	)	PUNCT
ap-1065	63	45	x	x	X
ap-1065	64	1	z	z	NOUN
ap-1065	64	2	i	i	PRON
ap-1065	64	3	,	,	PUNCT
ap-1065	64	4	�	�	PROPN
ap-1065	64	5	�	�	PROPN
ap-1065	64	6	�	�	PROPN
ap-1065	64	7	�	�	PROPN
ap-1065	64	8	�	�	PROPN
ap-1065	64	9	�	�	PROPN
ap-1065	64	10	xz	xz	PROPN
ap-1065	65	1	i	i	PRON
ap-1065	65	2	i	i	PRON
ap-1065	66	1	i	i	PRON
ap-1065	66	2	i	i	PRON
ap-1065	66	3	ix	ix	ADP
ap-1065	66	4	u	u	NOUN
ap-1065	66	5	z	z	NOUN
ap-1065	66	6	x	x	PROPN
ap-1065	66	7	z	z	NOUN
ap-1065	66	8	w	w	NOUN
ap-1065	66	9	x	x	PUNCT
ap-1065	66	10	x	x	PUNCT
ap-1065	66	11	x	x	X
ap-1065	66	12	w	w	NOUN
ap-1065	66	13	x	x	X
ap-1065	66	14	(	(	PUNCT
ap-1065	66	15	)	)	PUNCT
ap-1065	66	16	(	(	PUNCT
ap-1065	66	17	)	)	PUNCT
ap-1065	66	18	(	(	PUNCT
ap-1065	66	19	)	)	PUNCT
ap-1065	66	20	(	(	PUNCT
ap-1065	66	21	)	)	PUNCT
ap-1065	66	22	(	(	PUNCT
ap-1065	66	23	)	)	PUNCT
ap-1065	66	24	(	(	PUNCT
ap-1065	66	25	)	)	PUNCT
ap-1065	66	26	(	(	PUNCT
ap-1065	66	27	,	,	PUNCT
ap-1065	66	28	)	)	PUNCT
ap-1065	66	29	(	(	PUNCT
ap-1065	66	30	)	)	PUNCT
ap-1065	66	31	(	(	PUNCT
ap-1065	66	32	)	)	PUNCT
ap-1065	66	33	(	(	PUNCT
ap-1065	66	34	�	�	PROPN
ap-1065	66	35	�	�	PROPN
ap-1065	66	36	�	�	PROPN
ap-1065	66	37	�	�	PROPN
ap-1065	66	38	d	d	PROPN
ap-1065	66	39	d	d	PROPN
ap-1065	66	40	x	x	PROPN
ap-1065	66	41	)	)	PUNCT
ap-1065	66	42	,	,	PUNCT
ap-1065	66	43	(	(	PUNCT
ap-1065	66	44	2	2	X
ap-1065	66	45	)	)	PUNCT
ap-1065	66	46	which	which	PRON
ap-1065	66	47	,	,	PUNCT
ap-1065	66	48	when	when	SCONJ
ap-1065	66	49	combined	combine	VERB
ap-1065	66	50	with	with	ADP
ap-1065	66	51	the	the	DET
ap-1065	66	52	constitutive	constitutive	ADJ
ap-1065	66	53	equations	equation	NOUN
ap-1065	66	54	of	of	ADP
ap-1065	66	55	each	each	DET
ap-1065	66	56	layer	layer	NOUN
ap-1065	66	57	expressed	express	VERB
ap-1065	66	58	in	in	ADP
ap-1065	66	59	terms	term	NOUN
ap-1065	66	60	of	of	ADP
ap-1065	66	61	young	young	ADJ
ap-1065	66	62	’s	’s	PART
ap-1065	66	63	modulus	modulus	ADJ
ap-1065	66	64	e	e	PROPN
ap-1065	66	65	and	and	CCONJ
ap-1065	66	66	the	the	DET
ap-1065	66	67	shear	shear	NOUN
ap-1065	66	68	modulus	modulus	NOUN
ap-1065	66	69	g	g	PROPN
ap-1065	66	70	:	:	PUNCT
ap-1065	66	71	�	�	PROPN
ap-1065	66	72	�	�	PROPN
ap-1065	66	73	x	x	PROPN
ap-1065	67	1	i	i	PRON
ap-1065	67	2	i	i	PRON
ap-1065	68	1	i	i	VERB
ap-1065	68	2	x	x	VERB
ap-1065	69	1	i	i	PRON
ap-1065	69	2	ix	ix	VERB
ap-1065	70	1	z	z	NOUN
ap-1065	70	2	e	e	NOUN
ap-1065	70	3	x	x	PROPN
ap-1065	70	4	z	z	NOUN
ap-1065	70	5	(	(	PUNCT
ap-1065	70	6	)	)	PUNCT
ap-1065	70	7	(	(	PUNCT
ap-1065	70	8	)	)	PUNCT
ap-1065	70	9	(	(	PUNCT
ap-1065	70	10	)	)	PUNCT
ap-1065	70	11	(	(	PUNCT
ap-1065	70	12	)	)	PUNCT
ap-1065	70	13	(	(	PUNCT
ap-1065	70	14	)	)	PUNCT
ap-1065	70	15	(	(	PUNCT
ap-1065	70	16	,	,	PUNCT
ap-1065	70	17	)	)	PUNCT
ap-1065	70	18	(	(	PUNCT
ap-1065	70	19	,	,	PUNCT
ap-1065	70	20	)	)	PUNCT
ap-1065	70	21	�	�	PROPN
ap-1065	70	22	and	and	CCONJ
ap-1065	70	23	�	�	PROPN
ap-1065	70	24	�	�	PROPN
ap-1065	70	25	xz	xz	PROPN
ap-1065	71	1	i	i	PRON
ap-1065	71	2	i	i	PRON
ap-1065	72	1	xz	xz	INTJ
ap-1065	72	2	ix	ix	ADV
ap-1065	72	3	g	g	PROPN
ap-1065	72	4	x	x	PROPN
ap-1065	72	5	(	(	PUNCT
ap-1065	72	6	)	)	PUNCT
ap-1065	72	7	(	(	PUNCT
ap-1065	72	8	)	)	PUNCT
ap-1065	72	9	(	(	PUNCT
ap-1065	72	10	)	)	PUNCT
ap-1065	72	11	(	(	PUNCT
ap-1065	72	12	)	)	PUNCT
ap-1065	72	13	(	(	PUNCT
ap-1065	72	14	)	)	PUNCT
ap-1065	72	15	�	�	PROPN
ap-1065	72	16	,	,	PUNCT
ap-1065	72	17	yield	yield	VERB
ap-1065	72	18	the	the	DET
ap-1065	72	19	expressions	expression	NOUN
ap-1065	72	20	for	for	ADP
ap-1065	72	21	the	the	DET
ap-1065	72	22	internal	internal	ADJ
ap-1065	72	23	forces	force	NOUN
ap-1065	72	24	as	as	ADP
ap-1065	72	25	n	n	NOUN
ap-1065	72	26	x	x	PROPN
ap-1065	72	27	e	e	X
ap-1065	72	28	a	a	DET
ap-1065	72	29	u	u	NOUN
ap-1065	72	30	x	x	NOUN
ap-1065	72	31	xx	xx	NUM
ap-1065	73	1	i	i	PRON
ap-1065	74	1	i	i	PRON
ap-1065	75	1	i	i	PRON
ap-1065	75	2	i	i	INTJ
ap-1065	75	3	(	(	PUNCT
ap-1065	75	4	)	)	PUNCT
ap-1065	75	5	(	(	PUNCT
ap-1065	75	6	)	)	PUNCT
ap-1065	75	7	(	(	PUNCT
ap-1065	75	8	)	)	PUNCT
ap-1065	75	9	(	(	PUNCT
ap-1065	75	10	)	)	PUNCT
ap-1065	75	11	(	(	PUNCT
ap-1065	75	12	)	)	PUNCT
ap-1065	75	13	(	(	PUNCT
ap-1065	75	14	,	,	PUNCT
ap-1065	75	15	)	)	PUNCT
ap-1065	75	16	�	�	PROPN
ap-1065	75	17	d	d	PROPN
ap-1065	75	18	d	d	PROPN
ap-1065	75	19	0	0	NUM
ap-1065	75	20	,	,	PUNCT
ap-1065	75	21	v	v	NOUN
ap-1065	75	22	x	x	SYM
ap-1065	75	23	kg	kg	NOUN
ap-1065	75	24	a	a	DET
ap-1065	75	25	x	x	X
ap-1065	75	26	w	w	NOUN
ap-1065	75	27	x	x	PUNCT
ap-1065	75	28	xz	xz	NOUN
ap-1065	76	1	i	i	PRON
ap-1065	76	2	i	i	PRON
ap-1065	77	1	i	i	PRON
ap-1065	77	2	i	i	PRON
ap-1065	77	3	(	(	PUNCT
ap-1065	77	4	)	)	PUNCT
ap-1065	77	5	(	(	PUNCT
ap-1065	77	6	)	)	PUNCT
ap-1065	77	7	(	(	PUNCT
ap-1065	77	8	)	)	PUNCT
ap-1065	77	9	(	(	PUNCT
ap-1065	77	10	)	)	PUNCT
ap-1065	77	11	(	(	PUNCT
ap-1065	77	12	)	)	PUNCT
ap-1065	77	13	(	(	PUNCT
ap-1065	77	14	)	)	PUNCT
ap-1065	77	15	(	(	PUNCT
ap-1065	77	16	)	)	PUNCT
ap-1065	77	17	�	�	PROPN
ap-1065	77	18	�	�	PROPN
ap-1065	77	19	�	�	PROPN
ap-1065	77	20	�	�	PROPN
ap-1065	77	21	�	�	PROPN
ap-1065	77	22	�	�	PROPN
ap-1065	77	23	d	d	PROPN
ap-1065	77	24	d	d	PROPN
ap-1065	77	25	,	,	PUNCT
ap-1065	77	26	m	m	VERB
ap-1065	77	27	x	x	X
ap-1065	77	28	e	e	X
ap-1065	77	29	i	i	NOUN
ap-1065	77	30	x	x	VERB
ap-1065	78	1	xy	xy	INTJ
ap-1065	78	2	i	i	PRON
ap-1065	79	1	i	i	PRON
ap-1065	80	1	i	i	PRON
ap-1065	80	2	i	i	INTJ
ap-1065	80	3	(	(	PUNCT
ap-1065	80	4	)	)	PUNCT
ap-1065	80	5	(	(	PUNCT
ap-1065	80	6	)	)	PUNCT
ap-1065	80	7	(	(	PUNCT
ap-1065	80	8	)	)	PUNCT
ap-1065	80	9	(	(	PUNCT
ap-1065	80	10	)	)	PUNCT
ap-1065	80	11	(	(	PUNCT
ap-1065	80	12	)	)	PUNCT
ap-1065	80	13	(	(	PUNCT
ap-1065	80	14	)	)	PUNCT
ap-1065	80	15	�	�	PROPN
ap-1065	80	16	d	d	PROPN
ap-1065	80	17	d	d	PROPN
ap-1065	80	18	�	�	PROPN
ap-1065	80	19	,	,	PUNCT
ap-1065	80	20	where	where	SCONJ
ap-1065	80	21	b	b	NOUN
ap-1065	80	22	and	and	CCONJ
ap-1065	80	23	h	h	NOUN
ap-1065	80	24	i	i	PRON
ap-1065	80	25	(	(	PUNCT
ap-1065	80	26	)	)	PUNCT
ap-1065	80	27	are	be	AUX
ap-1065	80	28	the	the	DET
ap-1065	80	29	width	width	ADJ
ap-1065	80	30	and	and	CCONJ
ap-1065	80	31	height	height	NOUN
ap-1065	80	32	of	of	ADP
ap-1065	80	33	the	the	DET
ap-1065	80	34	i	i	PROPN
ap-1065	80	35	-	-	PUNCT
ap-1065	80	36	th	th	X
ap-1065	80	37	layer	layer	NOUN
ap-1065	80	38	,	,	PUNCT
ap-1065	80	39	recall	recall	VERB
ap-1065	80	40	fig	fig	NOUN
ap-1065	80	41	.	.	PUNCT
ap-1065	81	1	1	1	NUM
ap-1065	81	2	,	,	PUNCT
ap-1065	81	3	and	and	CCONJ
ap-1065	81	4	k	k	PROPN
ap-1065	81	5	�	�	PROPN
ap-1065	81	6	5	5	NUM
ap-1065	81	7	6	6	NUM
ap-1065	81	8	,	,	PUNCT
ap-1065	81	9	a	a	DET
ap-1065	81	10	bhi	bhi	NOUN
ap-1065	81	11	i	i	NOUN
ap-1065	81	12	(	(	PUNCT
ap-1065	81	13	)	)	PUNCT
ap-1065	81	14	(	(	PUNCT
ap-1065	81	15	)	)	PUNCT
ap-1065	81	16	�	�	PROPN
ap-1065	81	17	and	and	CCONJ
ap-1065	81	18	i	i	PRON
ap-1065	82	1	b	b	PROPN
ap-1065	83	1	hi	hi	INTJ
ap-1065	84	1	i	i	INTJ
ap-1065	84	2	(	(	PUNCT
ap-1065	84	3	)	)	PUNCT
ap-1065	84	4	(	(	PUNCT
ap-1065	84	5	)	)	PUNCT
ap-1065	84	6	(	(	PUNCT
ap-1065	84	7	)	)	PUNCT
ap-1065	84	8	�	�	PROPN
ap-1065	84	9	1	1	NUM
ap-1065	84	10	12	12	NUM
ap-1065	84	11	3	3	NUM
ap-1065	84	12	stand	stand	NOUN
ap-1065	84	13	for	for	ADP
ap-1065	84	14	the	the	DET
ap-1065	84	15	shear	shear	NOUN
ap-1065	84	16	correction	correction	NOUN
ap-1065	84	17	factor	factor	NOUN
ap-1065	84	18	,	,	PUNCT
ap-1065	84	19	the	the	DET
ap-1065	84	20	cross	cross	ADJ
ap-1065	84	21	-	-	ADJ
ap-1065	84	22	section	section	ADJ
ap-1065	84	23	area	area	NOUN
ap-1065	84	24	and	and	CCONJ
ap-1065	84	25	the	the	DET
ap-1065	84	26	moment	moment	NOUN
ap-1065	84	27	of	of	ADP
ap-1065	84	28	inertia	inertia	NOUN
ap-1065	84	29	of	of	ADP
ap-1065	84	30	the	the	DET
ap-1065	84	31	i	i	PROPN
ap-1065	84	32	-	-	PUNCT
ap-1065	84	33	th	th	X
ap-1065	84	34	layer	layer	NOUN
ap-1065	84	35	,	,	PUNCT
ap-1065	84	36	respectively	respectively	ADV
ap-1065	84	37	.	.	PUNCT
ap-1065	85	1	to	to	PART
ap-1065	85	2	proceed	proceed	VERB
ap-1065	85	3	,	,	PUNCT
ap-1065	85	4	consider	consider	VERB
ap-1065	85	5	the	the	DET
ap-1065	85	6	weak	weak	ADJ
ap-1065	85	7	form	form	NOUN
ap-1065	85	8	of	of	ADP
ap-1065	85	9	the	the	DET
ap-1065	85	10	governing	govern	VERB
ap-1065	85	11	equations	equation	NOUN
ap-1065	85	12	,	,	PUNCT
ap-1065	85	13	written	write	VERB
ap-1065	85	14	for	for	ADP
ap-1065	85	15	the	the	DET
ap-1065	85	16	i	i	PROPN
ap-1065	85	17	-	-	PUNCT
ap-1065	85	18	th	th	VERB
ap-1065	85	19	layer	layer	NOUN
ap-1065	85	20	(	(	PUNCT
ap-1065	85	21	the	the	DET
ap-1065	85	22	subscripts	subscript	NOUN
ap-1065	85	23	�	�	NOUN
ap-1065	85	24	x	x	SYM
ap-1065	85	25	and	and	CCONJ
ap-1065	85	26	�	�	PROPN
ap-1065	85	27	z	z	PROPN
ap-1065	85	28	related	relate	VERB
ap-1065	85	29	to	to	ADP
ap-1065	85	30	internal	internal	ADJ
ap-1065	85	31	forces	force	NOUN
ap-1065	85	32	and	and	CCONJ
ap-1065	85	33	kinematics	kinematic	NOUN
ap-1065	85	34	-	-	PUNCT
ap-1065	85	35	related	relate	VERB
ap-1065	85	36	quantities	quantity	NOUN
ap-1065	85	37	are	be	AUX
ap-1065	85	38	omitted	omit	VERB
ap-1065	85	39	from	from	ADP
ap-1065	85	40	now	now	ADV
ap-1065	85	41	on	on	ADV
ap-1065	85	42	,	,	PUNCT
ap-1065	85	43	for	for	ADP
ap-1065	85	44	the	the	DET
ap-1065	85	45	sake	sake	NOUN
ap-1065	85	46	of	of	ADP
ap-1065	85	47	brevity	brevity	NOUN
ap-1065	85	48	)	)	PUNCT
ap-1065	86	1	d	d	NOUN
ap-1065	86	2	d	d	PUNCT
ap-1065	86	3	d	d	PROPN
ap-1065	86	4	d	d	PROPN
ap-1065	86	5	d(i	d(i	PROPN
ap-1065	86	6	)	)	PUNCT
ap-1065	86	7	(	(	PUNCT
ap-1065	86	8	i	i	NOUN
ap-1065	86	9	)	)	PUNCT
ap-1065	86	10	(	(	PUNCT
ap-1065	86	11	i	i	NOUN
ap-1065	86	12	)	)	PUNCT
ap-1065	86	13	(	(	PUNCT
ap-1065	86	14	i	i	NOUN
ap-1065	86	15	)	)	PUNCT
ap-1065	86	16	(	(	PUNCT
ap-1065	86	17	i	i	NOUN
ap-1065	86	18	)	)	PUNCT
ap-1065	86	19	x	x	SYM
ap-1065	86	20	u	u	NOUN
ap-1065	86	21	x	x	X
ap-1065	86	22	e	e	NOUN
ap-1065	86	23	a	a	X
ap-1065	86	24	x	x	SYM
ap-1065	86	25	u	u	NOUN
ap-1065	86	26	x	x	NOUN
ap-1065	86	27	x	x	PUNCT
ap-1065	86	28	u	u	NOUN
ap-1065	86	29	x	x	X
ap-1065	86	30	f	f	NOUN
ap-1065	86	31	l	l	NOUN
ap-1065	86	32	x	x	X
ap-1065	86	33	�	�	PROPN
ap-1065	86	34	(	(	PUNCT
ap-1065	86	35	)	)	PUNCT
ap-1065	86	36	)	)	PUNCT
ap-1065	87	1	(	(	PUNCT
ap-1065	87	2	(	(	PUNCT
ap-1065	87	3	)	)	PUNCT
ap-1065	87	4	)	)	PUNCT
ap-1065	87	5	(	(	PUNCT
ap-1065	87	6	)	)	PUNCT
ap-1065	87	7	(	(	PUNCT
ap-1065	87	8	0	0	NUM
ap-1065	87	9	�	�	PROPN
ap-1065	87	10	�	�	PROPN
ap-1065	87	11	�	�	PROPN
ap-1065	88	1	i	i	NOUN
ap-1065	88	2	l	l	NOUN
ap-1065	88	3	l	l	NOUN
ap-1065	89	1	x	x	PUNCT
ap-1065	89	2	x	x	PUNCT
ap-1065	89	3	u	u	NOUN
ap-1065	89	4	x	x	X
ap-1065	89	5	n	n	PROPN
ap-1065	89	6	x	x	NOUN
ap-1065	89	7	)	)	PUNCT
ap-1065	89	8	(	(	PUNCT
ap-1065	89	9	)	)	PUNCT
ap-1065	89	10	(	(	PUNCT
ap-1065	89	11	)	)	PUNCT
ap-1065	89	12	,	,	PUNCT
ap-1065	89	13	(	(	PUNCT
ap-1065	89	14	)	)	PUNCT
ap-1065	89	15	d	d	NOUN
ap-1065	89	16	(	(	PUNCT
ap-1065	89	17	i	i	NOUN
ap-1065	89	18	)	)	PUNCT
ap-1065	89	19	�	�	PROPN
ap-1065	89	20	�	�	PROPN
ap-1065	89	21	0	0	NUM
ap-1065	89	22	0	0	NUM
ap-1065	90	1	d	d	NOUN
ap-1065	90	2	d	d	PROPN
ap-1065	90	3	d	d	PROPN
ap-1065	90	4	(	(	PUNCT
ap-1065	90	5	)	)	PUNCT
ap-1065	90	6	d	d	NOUN
ap-1065	90	7	(	(	PUNCT
ap-1065	90	8	i	i	NOUN
ap-1065	90	9	)	)	PUNCT
ap-1065	90	10	(	(	PUNCT
ap-1065	90	11	i	i	NOUN
ap-1065	90	12	)	)	PUNCT
ap-1065	90	13	(	(	PUNCT
ap-1065	90	14	i	i	NOUN
ap-1065	90	15	)	)	PUNCT
ap-1065	90	16	x	x	PUNCT
ap-1065	91	1	w	w	X
ap-1065	91	2	x	x	X
ap-1065	91	3	kg	kg	PROPN
ap-1065	91	4	a	a	DET
ap-1065	91	5	x	x	X
ap-1065	91	6	x	x	X
ap-1065	91	7	w	w	NOUN
ap-1065	91	8	x	x	X
ap-1065	91	9	f	f	NOUN
ap-1065	91	10	x	x	X
ap-1065	91	11	x	x	X
ap-1065	91	12	w	w	NOUN
ap-1065	91	13	l	l	NOUN
ap-1065	91	14	z	z	VERB
ap-1065	92	1	i	i	PRON
ap-1065	92	2	�	�	PROPN
ap-1065	92	3	�	�	PROPN
ap-1065	92	4	(	(	PUNCT
ap-1065	92	5	)	)	PUNCT
ap-1065	92	6	)	)	PUNCT
ap-1065	92	7	(	(	PUNCT
ap-1065	92	8	)	)	PUNCT
ap-1065	92	9	(	(	PUNCT
ap-1065	92	10	)	)	PUNCT
ap-1065	92	11	(	(	PUNCT
ap-1065	92	12	)	)	PUNCT
ap-1065	92	13	0	0	NUM
ap-1065	92	14	�	�	PROPN
ap-1065	92	15	�	�	PROPN
ap-1065	92	16	�	�	PROPN
ap-1065	92	17	�	�	PROPN
ap-1065	92	18	(	(	PUNCT
ap-1065	92	19	)	)	PUNCT
ap-1065	92	20	(	(	PUNCT
ap-1065	92	21	)	)	PUNCT
ap-1065	92	22	,	,	PUNCT
ap-1065	92	23	x	x	PROPN
ap-1065	92	24	v	v	X
ap-1065	92	25	x	x	SYM
ap-1065	92	26	l	l	NOUN
ap-1065	92	27	l	l	NOUN
ap-1065	92	28	(	(	PUNCT
ap-1065	92	29	i	i	NOUN
ap-1065	92	30	)	)	PUNCT
ap-1065	92	31	0	0	NUM
ap-1065	92	32	0	0	NUM
ap-1065	92	33	�	�	PROPN
ap-1065	92	34	d	d	NOUN
ap-1065	92	35	d	d	PROPN
ap-1065	92	36	d	d	PROPN
ap-1065	92	37	d	d	PROPN
ap-1065	92	38	d(i	d(i	PROPN
ap-1065	92	39	)	)	PUNCT
ap-1065	92	40	(	(	PUNCT
ap-1065	92	41	i	i	NOUN
ap-1065	92	42	)	)	PUNCT
ap-1065	92	43	(	(	PUNCT
ap-1065	92	44	i	i	NOUN
ap-1065	92	45	)	)	PUNCT
ap-1065	92	46	(	(	PUNCT
ap-1065	92	47	i	i	NOUN
ap-1065	92	48	)	)	PUNCT
ap-1065	92	49	(	(	PUNCT
ap-1065	92	50	i	i	NOUN
ap-1065	92	51	)	)	PUNCT
ap-1065	92	52	(	(	PUNCT
ap-1065	92	53	i	i	NOUN
ap-1065	92	54	x	x	X
ap-1065	92	55	x	x	PUNCT
ap-1065	92	56	e	e	X
ap-1065	92	57	i	i	NOUN
ap-1065	92	58	x	x	X
ap-1065	92	59	x	x	PUNCT
ap-1065	92	60	x	x	PUNCT
ap-1065	92	61	x	x	SYM
ap-1065	92	62	m	m	VERB
ap-1065	92	63	l	l	X
ap-1065	92	64	�	�	PROPN
ap-1065	92	65	�	�	PROPN
ap-1065	92	66	�	�	PROPN
ap-1065	92	67	�	�	PROPN
ap-1065	92	68	(	(	PUNCT
ap-1065	92	69	)	)	PUNCT
ap-1065	92	70	)	)	PUNCT
ap-1065	92	71	(	(	PUNCT
ap-1065	92	72	(	(	PUNCT
ap-1065	92	73	)	)	PUNCT
ap-1065	92	74	)	)	PUNCT
ap-1065	92	75	(	(	PUNCT
ap-1065	92	76	)	)	PUNCT
ap-1065	92	77	0	0	NUM
ap-1065	92	78	�	�	PROPN
ap-1065	92	79	�	�	PROPN
ap-1065	92	80	�	�	PROPN
ap-1065	92	81	)	)	PUNCT
ap-1065	92	82	(	(	PUNCT
ap-1065	92	83	)	)	PUNCT
ap-1065	92	84	,	,	PUNCT
ap-1065	92	85	x	x	X
ap-1065	92	86	l	l	NOUN
ap-1065	92	87	0	0	NUM
ap-1065	92	88	�	�	PROPN
ap-1065	92	89	�	�	PROPN
ap-1065	92	90	�	�	PROPN
ap-1065	92	91	(	(	PUNCT
ap-1065	92	92	i	i	PROPN
ap-1065	92	93	)	)	PUNCT
ap-1065	92	94	(	(	PUNCT
ap-1065	92	95	i	i	NOUN
ap-1065	92	96	)	)	PUNCT
ap-1065	92	97	(	(	PUNCT
ap-1065	92	98	i	i	NOUN
ap-1065	92	99	)	)	PUNCT
ap-1065	92	100	(	(	PUNCT
ap-1065	92	101	i	i	NOUN
ap-1065	92	102	)	)	PUNCT
ap-1065	92	103	(	(	PUNCT
ap-1065	92	104	i	i	NOUN
ap-1065	92	105	)	)	PUNCT
ap-1065	92	106	d	d	PROPN
ap-1065	93	1	d	d	X
ap-1065	93	2	d	d	PROPN
ap-1065	93	3	(	(	PUNCT
ap-1065	93	4	)	)	PUNCT
ap-1065	93	5	(	(	PUNCT
ap-1065	93	6	)	)	PUNCT
ap-1065	93	7	(	(	PUNCT
ap-1065	93	8	)	)	PUNCT
ap-1065	93	9	(	(	PUNCT
ap-1065	93	10	(	(	PUNCT
ap-1065	93	11	)	)	PUNCT
ap-1065	93	12	)	)	PUNCT
ap-1065	94	1	x	x	X
ap-1065	94	2	kg	kg	PROPN
ap-1065	94	3	a	a	DET
ap-1065	94	4	x	x	X
ap-1065	94	5	x	x	X
ap-1065	94	6	x	x	SYM
ap-1065	94	7	w	w	NOUN
ap-1065	94	8	x	x	SYM
ap-1065	94	9	x	x	SYM
ap-1065	94	10	�	�	PROPN
ap-1065	94	11	�	�	PROPN
ap-1065	94	12	�	�	PROPN
ap-1065	94	13	�	�	PROPN
ap-1065	94	14	�	�	PROPN
ap-1065	94	15	�	�	PROPN
ap-1065	94	16	�	�	PROPN
ap-1065	94	17	�	�	PROPN
ap-1065	94	18	0	0	NUM
ap-1065	94	19	0	0	NUM
ap-1065	94	20	l	l	NOUN
ap-1065	94	21	�	�	PROPN
ap-1065	94	22	�	�	PROPN
ap-1065	94	23	,	,	PUNCT
ap-1065	94	24	to	to	PART
ap-1065	94	25	be	be	AUX
ap-1065	94	26	satisfied	satisfied	ADJ
ap-1065	94	27	for	for	ADP
ap-1065	94	28	arbitrary	arbitrary	ADJ
ap-1065	94	29	admissible	admissible	ADJ
ap-1065	94	30	test	test	NOUN
ap-1065	94	31	fields	field	NOUN
ap-1065	94	32	u(i	u(i	NOUN
ap-1065	94	33	)	)	PUNCT
ap-1065	94	34	,	,	PUNCT
ap-1065	94	35	�	�	PROPN
ap-1065	94	36	(	(	PUNCT
ap-1065	94	37	i	i	PROPN
ap-1065	94	38	)	)	PUNCT
ap-1065	94	39	and	and	CCONJ
ap-1065	94	40	w.	w.	PROPN
ap-1065	94	41	in	in	ADP
ap-1065	94	42	particular	particular	ADJ
ap-1065	94	43	,	,	PUNCT
ap-1065	94	44	the	the	DET
ap-1065	94	45	first	first	ADJ
ap-1065	94	46	three	three	NUM
ap-1065	94	47	equations	equation	NOUN
ap-1065	94	48	correspond	correspond	VERB
ap-1065	94	49	to	to	ADP
ap-1065	94	50	equilibrium	equilibrium	NOUN
ap-1065	94	51	conditions	condition	NOUN
ap-1065	94	52	written	write	VERB
ap-1065	94	53	for	for	ADP
ap-1065	94	54	normal	normal	ADJ
ap-1065	94	55	and	and	CCONJ
ap-1065	94	56	shear	shear	NOUN
ap-1065	94	57	forces	force	NOUN
ap-1065	94	58	and	and	CCONJ
ap-1065	94	59	bending	bend	VERB
ap-1065	94	60	moments	moment	NOUN
ap-1065	94	61	,	,	PUNCT
ap-1065	94	62	respectively	respectively	ADV
ap-1065	94	63	.	.	PUNCT
ap-1065	95	1	the	the	DET
ap-1065	95	2	last	last	ADJ
ap-1065	95	3	identity	identity	NOUN
ap-1065	95	4	enforces	enforce	VERB
ap-1065	95	5	the	the	DET
ap-1065	95	6	geometrical	geometrical	ADJ
ap-1065	95	7	relation	relation	NOUN
ap-1065	95	8	(	(	PUNCT
ap-1065	95	9	2	2	NUM
ap-1065	95	10	)	)	PUNCT
ap-1065	95	11	in	in	ADP
ap-1065	95	12	the	the	DET
ap-1065	95	13	integral	integral	ADJ
ap-1065	95	14	form	form	NOUN
ap-1065	95	15	,	,	PUNCT
ap-1065	95	16	thereby	thereby	ADV
ap-1065	95	17	allowing	allow	VERB
ap-1065	95	18	to	to	PART
ap-1065	95	19	treat	treat	VERB
ap-1065	95	20	the	the	DET
ap-1065	95	21	shear	shear	NOUN
ap-1065	95	22	strain	strain	NOUN
ap-1065	95	23	as	as	ADP
ap-1065	95	24	an	an	DET
ap-1065	95	25	independent	independent	ADJ
ap-1065	95	26	field	field	NOUN
ap-1065	95	27	in	in	ADP
ap-1065	95	28	the	the	DET
ap-1065	95	29	discretization	discretization	NOUN
ap-1065	95	30	procedure	procedure	NOUN
ap-1065	95	31	to	to	PART
ap-1065	95	32	be	be	AUX
ap-1065	95	33	discussed	discuss	VERB
ap-1065	95	34	next	next	ADV
ap-1065	95	35	.	.	PUNCT
ap-1065	96	1	further	further	ADJ
ap-1065	96	2	note	note	VERB
ap-1065	96	3	that	that	SCONJ
ap-1065	96	4	the	the	DET
ap-1065	96	5	continuity	continuity	NOUN
ap-1065	96	6	conditions	condition	NOUN
ap-1065	96	7	(	(	PUNCT
ap-1065	96	8	1	1	X
ap-1065	96	9	)	)	PUNCT
ap-1065	96	10	will	will	AUX
ap-1065	96	11	be	be	AUX
ap-1065	96	12	introduced	introduce	VERB
ap-1065	96	13	directly	directly	ADV
ap-1065	96	14	into	into	ADP
ap-1065	96	15	the	the	DET
ap-1065	96	16	discretized	discretized	ADJ
ap-1065	96	17	formulation	formulation	NOUN
ap-1065	96	18	,	,	PUNCT
ap-1065	96	19	as	as	SCONJ
ap-1065	96	20	explained	explain	VERB
ap-1065	96	21	in	in	ADP
ap-1065	96	22	the	the	DET
ap-1065	96	23	following	follow	VERB
ap-1065	96	24	section	section	NOUN
ap-1065	96	25	.	.	PUNCT
ap-1065	97	1	4	4	NUM
ap-1065	97	2	finite	finite	PROPN
ap-1065	97	3	element	element	NOUN
ap-1065	97	4	discretization	discretization	NOUN
ap-1065	97	5	to	to	PART
ap-1065	97	6	keep	keep	VERB
ap-1065	97	7	the	the	DET
ap-1065	97	8	discretization	discretization	NOUN
ap-1065	97	9	procedure	procedure	NOUN
ap-1065	97	10	transparent	transparent	ADJ
ap-1065	97	11	,	,	PUNCT
ap-1065	97	12	it	it	PRON
ap-1065	97	13	is	be	AUX
ap-1065	97	14	assumed	assume	VERB
ap-1065	97	15	that	that	SCONJ
ap-1065	97	16	each	each	DET
ap-1065	97	17	layer	layer	NOUN
ap-1065	97	18	of	of	ADP
ap-1065	97	19	the	the	DET
ap-1065	97	20	laminated	laminate	VERB
ap-1065	97	21	beam	beam	NOUN
ap-1065	97	22	is	be	AUX
ap-1065	97	23	divided	divide	VERB
ap-1065	97	24	into	into	ADP
ap-1065	97	25	©	©	PROPN
ap-1065	97	26	czech	czech	PROPN
ap-1065	97	27	technical	technical	PROPN
ap-1065	97	28	university	university	PROPN
ap-1065	97	29	publishing	publishing	NOUN
ap-1065	97	30	house	house	NOUN
ap-1065	97	31	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1065	97	32	23	23	NUM
ap-1065	97	33	acta	acta	PROPN
ap-1065	97	34	polytechnica	polytechnica	PROPN
ap-1065	97	35	vol	vol	NOUN
ap-1065	97	36	.	.	PUNCT
ap-1065	98	1	48	48	NUM
ap-1065	98	2	no	no	NOUN
ap-1065	98	3	.	.	PUNCT
ap-1065	99	1	6/2008	6/2008	NOUN
ap-1065	100	1	y	y	NOUN
ap-1065	100	2	x	x	PROPN
ap-1065	101	1	z	z	X
ap-1065	101	2	,	,	PUNCT
ap-1065	101	3	w	w	PROPN
ap-1065	101	4	1	1	NUM
ap-1065	101	5	2	2	NUM
ap-1065	101	6	3	3	NUM
ap-1065	101	7	x	x	NOUN
ap-1065	101	8	,	,	PUNCT
ap-1065	101	9	u	u	NOUN
ap-1065	101	10	(	(	PUNCT
ap-1065	101	11	1	1	NUM
ap-1065	101	12	)	)	PUNCT
ap-1065	101	13	�	�	PROPN
ap-1065	101	14	(	(	PUNCT
ap-1065	101	15	1	1	NUM
ap-1065	101	16	)	)	PUNCT
ap-1065	101	17	h	h	NOUN
ap-1065	101	18	(	(	PUNCT
ap-1065	101	19	1	1	NUM
ap-1065	101	20	)	)	PUNCT
ap-1065	101	21	z	z	NOUN
ap-1065	101	22	,	,	PUNCT
ap-1065	101	23	w	w	PROPN
ap-1065	101	24	(	(	PUNCT
ap-1065	101	25	1	1	X
ap-1065	101	26	)	)	PUNCT
ap-1065	101	27	h	h	NOUN
ap-1065	101	28	(	(	PUNCT
ap-1065	101	29	2	2	NUM
ap-1065	101	30	)	)	PUNCT
ap-1065	101	31	h	h	NOUN
ap-1065	101	32	(	(	PUNCT
ap-1065	101	33	3	3	NUM
ap-1065	101	34	)	)	PUNCT
ap-1065	101	35	�	�	PROPN
ap-1065	101	36	(	(	PUNCT
ap-1065	101	37	2	2	NUM
ap-1065	101	38	)	)	PUNCT
ap-1065	101	39	�	�	PROPN
ap-1065	101	40	(	(	PUNCT
ap-1065	101	41	3	3	NUM
ap-1065	101	42	)	)	PUNCT
ap-1065	101	43	x	x	NOUN
ap-1065	101	44	,	,	PUNCT
ap-1065	101	45	u	u	NOUN
ap-1065	101	46	(	(	PUNCT
ap-1065	101	47	2	2	NUM
ap-1065	101	48	)	)	PUNCT
ap-1065	101	49	x	x	NOUN
ap-1065	101	50	,	,	PUNCT
ap-1065	101	51	u	u	NOUN
ap-1065	101	52	(	(	PUNCT
ap-1065	101	53	3)z	3)z	NUM
ap-1065	101	54	,	,	PUNCT
ap-1065	101	55	w	w	NOUN
ap-1065	101	56	(	(	PUNCT
ap-1065	101	57	2	2	NUM
ap-1065	101	58	)	)	PUNCT
ap-1065	101	59	z	z	NOUN
ap-1065	101	60	,	,	PUNCT
ap-1065	101	61	w	w	PROPN
ap-1065	101	62	(	(	PUNCT
ap-1065	101	63	3	3	NUM
ap-1065	101	64	)	)	PUNCT
ap-1065	101	65	glass	glass	NOUN
ap-1065	101	66	pvb	pvb	NOUN
ap-1065	101	67	glass	glass	NOUN
ap-1065	101	68	fig	fig	NOUN
ap-1065	101	69	.	.	PUNCT
ap-1065	102	1	1	1	NUM
ap-1065	102	2	:	:	PUNCT
ap-1065	102	3	kinematics	kinematic	NOUN
ap-1065	102	4	of	of	ADP
ap-1065	102	5	a	a	DET
ap-1065	102	6	laminated	laminated	ADJ
ap-1065	102	7	beam	beam	NOUN
ap-1065	102	8	an	an	DET
ap-1065	102	9	identical	identical	ADJ
ap-1065	102	10	number	number	NOUN
ap-1065	102	11	of	of	ADP
ap-1065	102	12	elements	element	NOUN
ap-1065	102	13	,	,	PUNCT
ap-1065	102	14	leading	lead	VERB
ap-1065	102	15	to	to	ADP
ap-1065	102	16	the	the	DET
ap-1065	102	17	discretization	discretization	NOUN
ap-1065	102	18	scheme	scheme	NOUN
ap-1065	102	19	illustrated	illustrate	VERB
ap-1065	102	20	in	in	ADP
ap-1065	102	21	fig	fig	NOUN
ap-1065	102	22	.	.	PUNCT
ap-1065	103	1	2	2	X
ap-1065	103	2	.	.	X
ap-1065	103	3	following	follow	VERB
ap-1065	103	4	the	the	DET
ap-1065	103	5	standard	standard	ADJ
ap-1065	103	6	conforming	conform	VERB
ap-1065	103	7	finite	finite	PROPN
ap-1065	103	8	element	element	NOUN
ap-1065	103	9	machinery	machinery	NOUN
ap-1065	103	10	,	,	PUNCT
ap-1065	103	11	e.g.	e.g.	ADV
ap-1065	103	12	[	[	X
ap-1065	103	13	12	12	NUM
ap-1065	103	14	,	,	PUNCT
ap-1065	103	15	11	11	NUM
ap-1065	103	16	]	]	PUNCT
ap-1065	103	17	,	,	PUNCT
ap-1065	103	18	we	we	PRON
ap-1065	103	19	express	express	VERB
ap-1065	103	20	the	the	DET
ap-1065	103	21	searched	searched	ADJ
ap-1065	103	22	and	and	CCONJ
ap-1065	103	23	test	test	NOUN
ap-1065	103	24	displacement	displacement	ADJ
ap-1065	103	25	fields	field	NOUN
ap-1065	103	26	at	at	ADP
ap-1065	103	27	the	the	DET
ap-1065	103	28	element	element	ADJ
ap-1065	103	29	level	level	NOUN
ap-1065	103	30	in	in	ADP
ap-1065	103	31	the	the	DET
ap-1065	103	32	form	form	NOUN
ap-1065	103	33	u	u	NOUN
ap-1065	103	34	x	x	NOUN
ap-1065	103	35	x	x	PUNCT
ap-1065	103	36	u	u	NOUN
ap-1065	103	37	x	x	X
ap-1065	103	38	xe	xe	PROPN
ap-1065	103	39	i	i	NOUN
ap-1065	103	40	e	e	NOUN
ap-1065	103	41	u	u	NOUN
ap-1065	103	42	i	i	X
ap-1065	103	43	e	e	VERB
ap-1065	103	44	u	u	NOUN
ap-1065	103	45	i	i	X
ap-1065	103	46	e	e	VERB
ap-1065	103	47	i	i	NOUN
ap-1065	103	48	e	e	VERB
ap-1065	103	49	u	u	NOUN
ap-1065	103	50	i	i	X
ap-1065	103	51	e	e	X
ap-1065	103	52	(	(	PUNCT
ap-1065	103	53	)	)	PUNCT
ap-1065	103	54	,	,	PUNCT
ap-1065	103	55	(	(	PUNCT
ap-1065	103	56	)	)	PUNCT
ap-1065	103	57	,	,	PUNCT
ap-1065	103	58	(	(	PUNCT
ap-1065	103	59	)	)	PUNCT
ap-1065	103	60	(	(	PUNCT
ap-1065	103	61	)	)	PUNCT
ap-1065	103	62	,	,	PUNCT
ap-1065	103	63	(	(	PUNCT
ap-1065	103	64	)	)	PUNCT
ap-1065	103	65	(	(	PUNCT
ap-1065	103	66	)	)	PUNCT
ap-1065	103	67	(	(	PUNCT
ap-1065	103	68	)	)	PUNCT
ap-1065	103	69	,	,	PUNCT
ap-1065	103	70	(	(	PUNCT
ap-1065	103	71	)	)	PUNCT
ap-1065	103	72	(	(	PUNCT
ap-1065	103	73	)	)	PUNCT
ap-1065	103	74	�	�	PROPN
ap-1065	103	75	�	�	PROPN
ap-1065	103	76	n	n	ADP
ap-1065	103	77	r	r	NOUN
ap-1065	103	78	n	n	NOUN
ap-1065	103	79	r	r	NOUN
ap-1065	103	80	,	,	PUNCT
ap-1065	103	81	(	(	PUNCT
ap-1065	103	82	)	)	PUNCT
ap-1065	103	83	,	,	PUNCT
ap-1065	103	84	,	,	PUNCT
ap-1065	103	85	,	,	PUNCT
ap-1065	103	86	,	,	PUNCT
ap-1065	103	87	(	(	PUNCT
ap-1065	103	88	)	)	PUNCT
ap-1065	103	89	,	,	PUNCT
ap-1065	103	90	(	(	PUNCT
ap-1065	103	91	)	)	PUNCT
ap-1065	103	92	(	(	PUNCT
ap-1065	103	93	)	)	PUNCT
ap-1065	103	94	,	,	PUNCT
ap-1065	103	95	(	(	PUNCT
ap-1065	103	96	)	)	PUNCT
ap-1065	103	97	(	(	PUNCT
ap-1065	103	98	)	)	PUNCT
ap-1065	103	99	,	,	PUNCT
ap-1065	103	100	(	(	PUNCT
ap-1065	103	101	u	u	NOUN
ap-1065	103	102	i	i	NOUN
ap-1065	103	103	e	e	X
ap-1065	103	104	e	e	X
ap-1065	103	105	w	w	PROPN
ap-1065	103	106	e	e	PROPN
ap-1065	103	107	w	w	PROPN
ap-1065	103	108	e	e	PROPN
ap-1065	103	109	e	e	X
ap-1065	103	110	w	w	PROPN
ap-1065	103	111	e	e	PROPN
ap-1065	103	112	w	w	PROPN
ap-1065	103	113	e	e	NOUN
ap-1065	103	114	i	i	NOUN
ap-1065	103	115	w	w	VERB
ap-1065	103	116	x	x	X
ap-1065	103	117	x	x	X
ap-1065	103	118	w	w	NOUN
ap-1065	103	119	x	x	SYM
ap-1065	103	120	x	x	X
ap-1065	103	121	�	�	PROPN
ap-1065	103	122	�	�	PROPN
ap-1065	103	123	n	n	ADP
ap-1065	103	124	r	r	NOUN
ap-1065	103	125	n	n	CCONJ
ap-1065	103	126	r	r	NOUN
ap-1065	103	127	�	�	PROPN
ap-1065	103	128	x	x	PUNCT
ap-1065	103	129	x	x	PUNCT
ap-1065	103	130	x	x	X
ap-1065	103	131	xe	xe	INTJ
ap-1065	103	132	i	i	NOUN
ap-1065	103	133	e	e	VERB
ap-1065	104	1	i	i	PRON
ap-1065	104	2	e	e	VERB
ap-1065	105	1	i	i	NOUN
ap-1065	105	2	e	e	VERB
ap-1065	105	3	i	i	NOUN
ap-1065	105	4	e	e	VERB
ap-1065	105	5	i	i	PROPN
ap-1065	105	6	)	)	PUNCT
ap-1065	105	7	(	(	PUNCT
ap-1065	105	8	)	)	PUNCT
ap-1065	105	9	,	,	PUNCT
ap-1065	105	10	(	(	PUNCT
ap-1065	105	11	)	)	PUNCT
ap-1065	105	12	(	(	PUNCT
ap-1065	105	13	)	)	PUNCT
ap-1065	105	14	,	,	PUNCT
ap-1065	105	15	,	,	PUNCT
ap-1065	105	16	(	(	PUNCT
ap-1065	105	17	)	)	PUNCT
ap-1065	105	18	,	,	PUNCT
ap-1065	105	19	(	(	PUNCT
ap-1065	105	20	)	)	PUNCT
ap-1065	105	21	(	(	PUNCT
ap-1065	105	22	)	)	PUNCT
ap-1065	105	23	,	,	PUNCT
ap-1065	105	24	(	(	PUNCT
ap-1065	105	25	)	)	PUNCT
ap-1065	105	26	,	,	PUNCT
ap-1065	105	27	(	(	PUNCT
ap-1065	105	28	)	)	PUNCT
ap-1065	105	29	�	�	PROPN
ap-1065	105	30	�	�	PROPN
ap-1065	105	31	n	n	ADP
ap-1065	105	32	r	r	NOUN
ap-1065	105	33	n	n	CCONJ
ap-1065	105	34	r	r	PROPN
ap-1065	105	35	�	�	PROPN
ap-1065	105	36	�	�	PROPN
ap-1065	105	37	�	�	PROPN
ap-1065	105	38	�	�	PROPN
ap-1065	105	39	�	�	PROPN
ap-1065	105	40	�	�	PROPN
ap-1065	105	41	�	�	PROPN
ap-1065	105	42	�	�	PROPN
ap-1065	105	43	�	�	PROPN
ap-1065	105	44	�	�	PROPN
ap-1065	105	45	e	e	NOUN
ap-1065	105	46	i	i	NOUN
ap-1065	105	47	e	e	VERB
ap-1065	106	1	i	i	NOUN
ap-1065	106	2	e	e	VERB
ap-1065	107	1	i	i	NOUN
ap-1065	107	2	e	e	VERB
ap-1065	108	1	i	i	PRON
ap-1065	108	2	e	e	VERB
ap-1065	108	3	i	i	PRON
ap-1065	108	4	ex	ex	VERB
ap-1065	108	5	x	x	PUNCT
ap-1065	108	6	x	x	SYM
ap-1065	108	7	x	x	NOUN
ap-1065	108	8	(	(	PUNCT
ap-1065	108	9	)	)	PUNCT
ap-1065	108	10	,	,	PUNCT
ap-1065	108	11	(	(	PUNCT
ap-1065	108	12	)	)	PUNCT
ap-1065	108	13	,	,	PUNCT
ap-1065	108	14	(	(	PUNCT
ap-1065	108	15	)	)	PUNCT
ap-1065	108	16	(	(	PUNCT
ap-1065	108	17	)	)	PUNCT
ap-1065	108	18	,	,	PUNCT
ap-1065	108	19	(	(	PUNCT
ap-1065	108	20	)	)	PUNCT
ap-1065	108	21	(	(	PUNCT
ap-1065	108	22	)	)	PUNCT
ap-1065	108	23	(	(	PUNCT
ap-1065	108	24	)	)	PUNCT
ap-1065	108	25	,	,	PUNCT
ap-1065	108	26	(	(	PUNCT
ap-1065	108	27	)	)	PUNCT
ap-1065	108	28	(	(	PUNCT
ap-1065	108	29	)	)	PUNCT
ap-1065	108	30	�	�	PROPN
ap-1065	108	31	�	�	PROPN
ap-1065	108	32	n	n	ADP
ap-1065	108	33	r	r	NOUN
ap-1065	108	34	n	n	NOUN
ap-1065	108	35	r	r	NOUN
ap-1065	108	36	,	,	PUNCT
ap-1065	108	37	(	(	PUNCT
ap-1065	108	38	)	)	PUNCT
ap-1065	108	39	,	,	PUNCT
ap-1065	108	40	�	�	PROPN
ap-1065	109	1	i	i	PRON
ap-1065	109	2	where	where	SCONJ
ap-1065	109	3	e	e	NOUN
ap-1065	109	4	is	be	AUX
ap-1065	109	5	used	use	VERB
ap-1065	109	6	to	to	PART
ap-1065	109	7	denote	denote	VERB
ap-1065	109	8	the	the	DET
ap-1065	109	9	element	element	ADJ
ap-1065	109	10	number	number	NOUN
ap-1065	109	11	,	,	PUNCT
ap-1065	109	12	�	�	PROPN
ap-1065	109	13	e	e	NOUN
ap-1065	109	14	and	and	CCONJ
ap-1065	109	15	�	�	PROPN
ap-1065	109	16	e	e	PROPN
ap-1065	109	17	denote	denote	VERB
ap-1065	109	18	a	a	DET
ap-1065	109	19	relevant	relevant	ADJ
ap-1065	109	20	searched	search	VERB
ap-1065	109	21	and	and	CCONJ
ap-1065	109	22	test	test	NOUN
ap-1065	109	23	field	field	NOUN
ap-1065	109	24	restricted	restrict	VERB
ap-1065	109	25	to	to	ADP
ap-1065	109	26	the	the	DET
ap-1065	109	27	e	e	NOUN
ap-1065	109	28	-	-	ADJ
ap-1065	109	29	th	th	VERB
ap-1065	109	30	element	element	NOUN
ap-1065	109	31	,	,	PUNCT
ap-1065	109	32	ne	ne	X
ap-1065	109	33	i	i	PRON
ap-1065	109	34	,	,	PUNCT
ap-1065	109	35	•	•	PRON
ap-1065	109	36	(	(	PUNCT
ap-1065	109	37	)	)	PUNCT
ap-1065	109	38	is	be	AUX
ap-1065	109	39	the	the	DET
ap-1065	109	40	associated	associated	ADJ
ap-1065	109	41	matrix	matrix	NOUN
ap-1065	109	42	of	of	ADP
ap-1065	109	43	the	the	DET
ap-1065	109	44	basis	basis	NOUN
ap-1065	109	45	functions	function	NOUN
ap-1065	109	46	and	and	CCONJ
ap-1065	109	47	re	re	NOUN
ap-1065	109	48	i	i	PRON
ap-1065	109	49	,	,	PUNCT
ap-1065	109	50	•	•	PRON
ap-1065	109	51	(	(	PUNCT
ap-1065	109	52	)	)	PUNCT
ap-1065	109	53	is	be	AUX
ap-1065	109	54	the	the	DET
ap-1065	109	55	matrix	matrix	NOUN
ap-1065	109	56	of	of	ADP
ap-1065	109	57	nodal	nodal	NOUN
ap-1065	109	58	unknowns	unknown	NOUN
ap-1065	109	59	.	.	PUNCT
ap-1065	110	1	in	in	ADP
ap-1065	110	2	the	the	DET
ap-1065	110	3	actual	actual	ADJ
ap-1065	110	4	implementation	implementation	NOUN
ap-1065	110	5	,	,	PUNCT
ap-1065	110	6	the	the	DET
ap-1065	110	7	fields	field	NOUN
ap-1065	110	8	u(i	u(i	NOUN
ap-1065	110	9	)	)	PUNCT
ap-1065	110	10	,	,	PUNCT
ap-1065	110	11	we	we	PRON
ap-1065	110	12	and	and	CCONJ
ap-1065	110	13	�	�	PROPN
ap-1065	110	14	e	e	PROPN
ap-1065	110	15	i	i	PROPN
ap-1065	110	16	(	(	PUNCT
ap-1065	110	17	)	)	PUNCT
ap-1065	110	18	,	,	PUNCT
ap-1065	110	19	as	as	ADV
ap-1065	110	20	well	well	ADV
ap-1065	110	21	as	as	ADP
ap-1065	110	22	the	the	DET
ap-1065	110	23	corresponding	corresponding	ADJ
ap-1065	110	24	test	test	NOUN
ap-1065	110	25	quantities	quantity	NOUN
ap-1065	110	26	,	,	PUNCT
ap-1065	110	27	are	be	AUX
ap-1065	110	28	assumed	assume	VERB
ap-1065	110	29	to	to	PART
ap-1065	110	30	be	be	AUX
ap-1065	110	31	piecewise	piecewise	NOUN
ap-1065	110	32	linear	linear	NOUN
ap-1065	110	33	.	.	PUNCT
ap-1065	111	1	to	to	PART
ap-1065	111	2	obtain	obtain	VERB
ap-1065	111	3	a	a	DET
ap-1065	111	4	locking	locking	NOUN
ap-1065	111	5	-	-	PUNCT
ap-1065	111	6	free	free	ADJ
ap-1065	111	7	element	element	NOUN
ap-1065	111	8	,	,	PUNCT
ap-1065	111	9	the	the	DET
ap-1065	111	10	shear	shear	NOUN
ap-1065	111	11	strain	strain	VERB
ap-1065	111	12	�	�	PROPN
ap-1065	111	13	e	e	ADP
ap-1065	111	14	i	i	PROPN
ap-1065	111	15	(	(	PUNCT
ap-1065	111	16	)	)	PUNCT
ap-1065	111	17	is	be	AUX
ap-1065	111	18	taken	take	VERB
ap-1065	111	19	as	as	ADV
ap-1065	111	20	constant	constant	ADJ
ap-1065	111	21	and	and	CCONJ
ap-1065	111	22	is	be	AUX
ap-1065	111	23	eliminated	eliminate	VERB
ap-1065	111	24	using	use	VERB
ap-1065	111	25	static	static	ADJ
ap-1065	111	26	condensation	condensation	NOUN
ap-1065	111	27	,	,	PUNCT
ap-1065	111	28	see	see	VERB
ap-1065	111	29	[	[	X
ap-1065	111	30	12	12	NUM
ap-1065	111	31	,	,	PUNCT
ap-1065	111	32	11	11	NUM
ap-1065	111	33	]	]	PUNCT
ap-1065	111	34	for	for	ADP
ap-1065	111	35	additional	additional	ADJ
ap-1065	111	36	details	detail	NOUN
ap-1065	111	37	.	.	PUNCT
ap-1065	112	1	to	to	PART
ap-1065	112	2	simplify	simplify	VERB
ap-1065	112	3	the	the	DET
ap-1065	112	4	further	further	ADJ
ap-1065	112	5	treatment	treatment	NOUN
ap-1065	112	6	,	,	PUNCT
ap-1065	112	7	we	we	PRON
ap-1065	112	8	consider	consider	VERB
ap-1065	112	9	the	the	DET
ap-1065	112	10	following	follow	VERB
ap-1065	112	11	partitioning	partitioning	NOUN
ap-1065	112	12	of	of	ADP
ap-1065	112	13	the	the	DET
ap-1065	112	14	stiffness	stiffness	ADJ
ap-1065	112	15	matrix	matrix	NOUN
ap-1065	112	16	k	k	NOUN
ap-1065	112	17	and	and	CCONJ
ap-1065	112	18	the	the	DET
ap-1065	112	19	right	right	ADJ
ap-1065	112	20	hand	hand	NOUN
ap-1065	112	21	side	side	NOUN
ap-1065	112	22	matrix	matrix	NOUN
ap-1065	112	23	r	r	NOUN
ap-1065	112	24	related	relate	VERB
ap-1065	112	25	to	to	ADP
ap-1065	112	26	the	the	DET
ap-1065	112	27	e	e	NOUN
ap-1065	112	28	-	-	NOUN
ap-1065	112	29	th	th	VERB
ap-1065	112	30	element	element	NOUN
ap-1065	112	31	and	and	CCONJ
ap-1065	112	32	the	the	DET
ap-1065	112	33	i	i	PROPN
ap-1065	112	34	-	-	PUNCT
ap-1065	112	35	th	th	X
ap-1065	112	36	layer	layer	NOUN
ap-1065	112	37	after	after	ADP
ap-1065	112	38	static	static	ADJ
ap-1065	112	39	condensation	condensation	NOUN
ap-1065	112	40	:	:	PUNCT
ap-1065	113	1	k	k	PROPN
ap-1065	113	2	k	k	PROPN
ap-1065	113	3	k	k	PROPN
ap-1065	113	4	k	k	NOUN
ap-1065	113	5	r	r	NOUN
ap-1065	113	6	r	r	NOUN
ap-1065	113	7	re	re	NOUN
ap-1065	114	1	i	i	PRON
ap-1065	114	2	ew	ew	INTJ
ap-1065	114	3	i	i	PRON
ap-1065	114	4	we	we	PRON
ap-1065	115	1	i	i	VERB
ap-1065	115	2	w	w	VERB
ap-1065	116	1	i	i	NOUN
ap-1065	116	2	e	e	VERB
ap-1065	117	1	i	i	NOUN
ap-1065	117	2	e	e	VERB
ap-1065	117	3	w	w	PROPN
ap-1065	117	4	e	e	PROPN
ap-1065	117	5	(	(	PUNCT
ap-1065	117	6	)	)	PUNCT
ap-1065	117	7	(	(	PUNCT
ap-1065	117	8	)	)	PUNCT
ap-1065	117	9	(	(	PUNCT
ap-1065	117	10	)	)	PUNCT
ap-1065	117	11	(	(	PUNCT
ap-1065	117	12	)	)	PUNCT
ap-1065	117	13	(	(	PUNCT
ap-1065	117	14	)	)	PUNCT
ap-1065	117	15	,	,	PUNCT
ap-1065	117	16	�	�	PROPN
ap-1065	117	17	�	�	PROPN
ap-1065	117	18	�	�	PROPN
ap-1065	117	19	�	�	PROPN
ap-1065	117	20	�	�	PROPN
ap-1065	117	21	�	�	PROPN
ap-1065	117	22	�	�	PROPN
ap-1065	117	23	�	�	PROPN
ap-1065	117	24	�	�	PROPN
ap-1065	117	25	�	�	PROPN
ap-1065	117	26	�	�	PROPN
ap-1065	117	27	�	�	PROPN
ap-1065	117	28	�	�	PROPN
ap-1065	117	29	�	�	PROPN
ap-1065	117	30	�	�	PROPN
ap-1065	117	31	�	�	PROPN
ap-1065	117	32	�	�	PROPN
ap-1065	117	33	(	(	PUNCT
ap-1065	117	34	)	)	PUNCT
ap-1065	117	35	,	,	PUNCT
ap-1065	117	36	(	(	PUNCT
ap-1065	117	37	)	)	PUNCT
ap-1065	118	1	i	i	PRON
ap-1065	118	2	e	e	VERB
ap-1065	118	3	w	w	PROPN
ap-1065	118	4	ir	ir	PROPN
ap-1065	118	5	�	�	PROPN
ap-1065	118	6	�	�	PROPN
ap-1065	118	7	�	�	PROPN
ap-1065	118	8	�	�	PROPN
ap-1065	118	9	�	�	PROPN
ap-1065	118	10	�	�	PROPN
ap-1065	118	11	�	�	PROPN
ap-1065	118	12	�	�	PROPN
ap-1065	118	13	,	,	PUNCT
ap-1065	118	14	where	where	SCONJ
ap-1065	118	15	k	k	PROPN
ap-1065	118	16	kew	kew	VERB
ap-1065	118	17	i	i	PRON
ap-1065	118	18	we	we	PRON
ap-1065	118	19	i	i	PRON
ap-1065	118	20	(	(	PUNCT
ap-1065	118	21	)	)	PUNCT
ap-1065	118	22	(	(	PUNCT
ap-1065	118	23	)	)	PUNCT
ap-1065	118	24	(	(	PUNCT
ap-1065	118	25	)	)	PUNCT
ap-1065	118	26	�	�	PROPN
ap-1065	118	27	t	t	PROPN
ap-1065	118	28	and	and	CCONJ
ap-1065	118	29	�	�	PROPN
ap-1065	118	30	r	r	NOUN
ap-1065	118	31	re	re	VERB
ap-1065	118	32	i	i	PROPN
ap-1065	118	33	e	e	PROPN
ap-1065	118	34	a	a	PRON
ap-1065	118	35	i	i	NOUN
ap-1065	118	36	e	e	PROPN
ap-1065	118	37	b	b	NOUN
ap-1065	119	1	i	i	PRON
ap-1065	119	2	e	e	VERB
ap-1065	119	3	a	a	PROPN
ap-1065	119	4	i	i	NOUN
ap-1065	119	5	e	e	PROPN
ap-1065	119	6	b	b	NOUN
ap-1065	119	7	i	i	X
ap-1065	119	8	e	e	VERB
ap-1065	119	9	w	w	PROPN
ap-1065	119	10	e	e	PROPN
ap-1065	119	11	au	au	PROPN
ap-1065	119	12	u	u	PROPN
ap-1065	119	13	w	w	PROPN
ap-1065	119	14	w	w	PROPN
ap-1065	119	15	(	(	PUNCT
ap-1065	119	16	)	)	PUNCT
ap-1065	119	17	,	,	PUNCT
ap-1065	119	18	(	(	PUNCT
ap-1065	119	19	)	)	PUNCT
ap-1065	119	20	,	,	PUNCT
ap-1065	119	21	(	(	PUNCT
ap-1065	119	22	)	)	PUNCT
ap-1065	119	23	,	,	PUNCT
ap-1065	119	24	(	(	PUNCT
ap-1065	119	25	)	)	PUNCT
ap-1065	119	26	,	,	PUNCT
ap-1065	119	27	(	(	PUNCT
ap-1065	119	28	)	)	PUNCT
ap-1065	119	29	,	,	PUNCT
ap-1065	119	30	,	,	PUNCT
ap-1065	119	31	,	,	PUNCT
ap-1065	119	32	,	,	PUNCT
ap-1065	119	33	,	,	PUNCT
ap-1065	119	34	,	,	PUNCT
ap-1065	119	35	,	,	PUNCT
ap-1065	119	36	�	�	PROPN
ap-1065	119	37	�	�	PROPN
ap-1065	119	38	�	�	PROPN
ap-1065	119	39	�	�	PROPN
ap-1065	119	40	t	t	PROPN
ap-1065	119	41	�	�	PROPN
ap-1065	119	42	e	e	PROPN
ap-1065	119	43	b	b	PROPN
ap-1065	119	44	,	,	PUNCT
ap-1065	119	45	.	.	PUNCT
ap-1065	120	1	t	t	PROPN
ap-1065	120	2	considering	consider	VERB
ap-1065	120	3	all	all	DET
ap-1065	120	4	three	three	NUM
ap-1065	120	5	layers	layer	NOUN
ap-1065	120	6	in	in	ADP
ap-1065	120	7	fig	fig	NOUN
ap-1065	120	8	.	.	PUNCT
ap-1065	120	9	2	2	NUM
ap-1065	120	10	together	together	ADV
ap-1065	120	11	gives	give	VERB
ap-1065	120	12	the	the	DET
ap-1065	120	13	resulting	result	VERB
ap-1065	120	14	system	system	NOUN
ap-1065	120	15	of	of	ADP
ap-1065	120	16	governing	govern	VERB
ap-1065	120	17	equations	equation	NOUN
ap-1065	120	18	in	in	ADP
ap-1065	120	19	the	the	DET
ap-1065	120	20	form	form	NOUN
ap-1065	121	1	k	k	PROPN
ap-1065	121	2	k	k	PROPN
ap-1065	122	1	k	k	PROPN
ap-1065	122	2	k	k	PROPN
ap-1065	122	3	e	e	PROPN
ap-1065	122	4	k	k	PROPN
ap-1065	122	5	k	k	PROPN
ap-1065	122	6	k	k	PROPN
ap-1065	122	7	k	k	PROPN
ap-1065	122	8	e	e	X
ap-1065	122	9	ew	ew	NOUN
ap-1065	122	10	e	e	X
ap-1065	122	11	ew	ew	NOUN
ap-1065	122	12	e	e	NOUN
ap-1065	122	13	e	e	NOUN
ap-1065	122	14	ew	ew	INTJ
ap-1065	122	15	we	we	PRON
ap-1065	122	16	w	w	VERB
ap-1065	122	17	(	(	PUNCT
ap-1065	122	18	)	)	PUNCT
ap-1065	122	19	(	(	PUNCT
ap-1065	122	20	)	)	PUNCT
ap-1065	122	21	(	(	PUNCT
ap-1065	122	22	)	)	PUNCT
ap-1065	122	23	(	(	PUNCT
ap-1065	122	24	)	)	PUNCT
ap-1065	122	25	(	(	PUNCT
ap-1065	122	26	)	)	PUNCT
ap-1065	122	27	(	(	PUNCT
ap-1065	122	28	)	)	PUNCT
ap-1065	122	29	(	(	PUNCT
ap-1065	122	30	)	)	PUNCT
ap-1065	122	31	1	1	NUM
ap-1065	122	32	1	1	NUM
ap-1065	122	33	2	2	NUM
ap-1065	122	34	2	2	NUM
ap-1065	122	35	3	3	NUM
ap-1065	122	36	3	3	NUM
ap-1065	122	37	1	1	NUM
ap-1065	122	38	0	0	NUM
ap-1065	122	39	0	0	NUM
ap-1065	122	40	0	0	NUM
ap-1065	122	41	0	0	NUM
ap-1065	122	42	0	0	NUM
ap-1065	122	43	0	0	NUM
ap-1065	122	44	t	t	NOUN
ap-1065	122	45	e	e	X
ap-1065	122	46	we	we	PRON
ap-1065	122	47	w	w	VERB
ap-1065	122	48	w	w	PROPN
ap-1065	122	49	w	w	PROPN
ap-1065	122	50	e	e	PROPN
ap-1065	122	51	e	e	X
ap-1065	122	52	(	(	PUNCT
ap-1065	122	53	)	)	PUNCT
ap-1065	122	54	(	(	PUNCT
ap-1065	122	55	)	)	PUNCT
ap-1065	122	56	(	(	PUNCT
ap-1065	122	57	)	)	PUNCT
ap-1065	122	58	(	(	PUNCT
ap-1065	122	59	)	)	PUNCT
ap-1065	122	60	(	(	PUNCT
ap-1065	122	61	)	)	SYM
ap-1065	122	62	2	2	NUM
ap-1065	122	63	3	3	NUM
ap-1065	122	64	1	1	NUM
ap-1065	122	65	2	2	NUM
ap-1065	122	66	3	3	NUM
ap-1065	122	67	0	0	NUM
ap-1065	122	68	0	0	NUM
ap-1065	122	69	0	0	NUM
ap-1065	123	1	k	k	NOUN
ap-1065	123	2	k	k	PROPN
ap-1065	123	3	k	k	PROPN
ap-1065	123	4	k	k	PROPN
ap-1065	123	5	e	e	PROPN
ap-1065	123	6	r	r	PROPN
ap-1065	123	7	�	�	PROPN
ap-1065	123	8	�	�	PROPN
ap-1065	123	9	�	�	PROPN
ap-1065	123	10	�	�	PROPN
ap-1065	123	11	�	�	PROPN
ap-1065	123	12	�	�	PROPN
ap-1065	123	13	�	�	PROPN
ap-1065	123	14	�	�	PROPN
ap-1065	123	15	�	�	PROPN
ap-1065	123	16	�	�	PROPN
ap-1065	123	17	�	�	PROPN
ap-1065	123	18	�	�	PROPN
ap-1065	123	19	�	�	PROPN
ap-1065	123	20	�	�	PROPN
ap-1065	123	21	�	�	PROPN
ap-1065	123	22	�	�	PROPN
ap-1065	123	23	�	�	PROPN
ap-1065	123	24	�	�	PROPN
ap-1065	123	25	(	(	PUNCT
ap-1065	123	26	)	)	PUNCT
ap-1065	123	27	(	(	PUNCT
ap-1065	123	28	)	)	PUNCT
ap-1065	123	29	(	(	PUNCT
ap-1065	123	30	)	)	PUNCT
ap-1065	123	31	,	,	PUNCT
ap-1065	123	32	(	(	PUNCT
ap-1065	123	33	)	)	PUNCT
ap-1065	123	34	(	(	PUNCT
ap-1065	123	35	)	)	PUNCT
ap-1065	123	36	1	1	NUM
ap-1065	123	37	2	2	NUM
ap-1065	123	38	3	3	NUM
ap-1065	123	39	4	4	NUM
ap-1065	123	40	1	1	NUM
ap-1065	123	41	1	1	NUM
ap-1065	123	42	2	2	NUM
ap-1065	123	43	r	r	NOUN
ap-1065	123	44	r	r	NOUN
ap-1065	123	45	r	r	NOUN
ap-1065	123	46	r	r	NOUN
ap-1065	123	47	r	r	NOUN
ap-1065	123	48	e	e	NOUN
ap-1065	123	49	e	e	X
ap-1065	123	50	e	e	X
ap-1065	123	51	w	w	PROPN
ap-1065	123	52	(	(	PUNCT
ap-1065	123	53	)	)	PUNCT
ap-1065	123	54	e	e	X
ap-1065	123	55	e	e	PART
ap-1065	123	56	�	�	PROPN
ap-1065	123	57	�	�	PROPN
ap-1065	123	58	�	�	PROPN
ap-1065	123	59	�	�	PROPN
ap-1065	123	60	�	�	PROPN
ap-1065	123	61	�	�	PROPN
ap-1065	123	62	�	�	PROPN
ap-1065	123	63	�	�	PROPN
ap-1065	123	64	�	�	PROPN
ap-1065	123	65	�	�	PROPN
ap-1065	123	66	�	�	PROPN
ap-1065	123	67	�	�	PROPN
ap-1065	123	68	�	�	PROPN
ap-1065	123	69	�	�	PROPN
ap-1065	123	70	�	�	PROPN
ap-1065	123	71	�	�	PROPN
ap-1065	123	72	�	�	PROPN
ap-1065	123	73	�	�	PROPN
ap-1065	124	1	r	r	NOUN
ap-1065	124	2	r	r	NOUN
ap-1065	124	3	r	r	NOUN
ap-1065	124	4	r	r	NOUN
ap-1065	124	5	e	e	X
ap-1065	124	6	e	e	X
ap-1065	124	7	w	w	PROPN
ap-1065	124	8	e	e	PROPN
ap-1065	124	9	w	w	PROPN
ap-1065	124	10	e	e	PROPN
ap-1065	124	11	w	w	PROPN
ap-1065	124	12	(	(	PUNCT
ap-1065	124	13	)	)	PUNCT
ap-1065	124	14	,	,	PUNCT
ap-1065	124	15	(	(	PUNCT
ap-1065	124	16	)	)	PUNCT
ap-1065	124	17	,	,	PUNCT
ap-1065	124	18	(	(	PUNCT
ap-1065	124	19	)	)	PUNCT
ap-1065	124	20	,	,	PUNCT
ap-1065	124	21	(	(	PUNCT
ap-1065	124	22	)	)	PUNCT
ap-1065	124	23	,	,	PUNCT
ap-1065	124	24	3	3	NUM
ap-1065	124	25	1	1	NUM
ap-1065	124	26	2	2	NUM
ap-1065	124	27	3	3	NUM
ap-1065	124	28	0	0	NUM
ap-1065	124	29	�	�	PROPN
ap-1065	124	30	�	�	PROPN
ap-1065	124	31	�	�	PROPN
ap-1065	124	32	�	�	PROPN
ap-1065	124	33	�	�	PROPN
ap-1065	124	34	�	�	PROPN
ap-1065	124	35	�	�	PROPN
ap-1065	124	36	�	�	PROPN
ap-1065	124	37	�	�	PROPN
ap-1065	124	38	�	�	PROPN
ap-1065	124	39	�	�	PROPN
ap-1065	124	40	�	�	PROPN
ap-1065	124	41	�	�	PROPN
ap-1065	124	42	�	�	PROPN
ap-1065	124	43	�	�	PROPN
ap-1065	124	44	�	�	PROPN
ap-1065	124	45	�	�	PROPN
ap-1065	124	46	�	�	PROPN
ap-1065	124	47	where	where	SCONJ
ap-1065	124	48	the	the	DET
ap-1065	124	49	matrix	matrix	NOUN
ap-1065	124	50	stores	store	VERB
ap-1065	124	51	the	the	DET
ap-1065	124	52	nodal	nodal	ADJ
ap-1065	124	53	values	value	NOUN
ap-1065	124	54	of	of	ADP
ap-1065	124	55	the	the	DET
ap-1065	124	56	lagrange	lagrange	NOUN
ap-1065	124	57	multipliers	multiplier	NOUN
ap-1065	124	58	,	,	PUNCT
ap-1065	124	59	associated	associate	VERB
ap-1065	124	60	with	with	ADP
ap-1065	124	61	the	the	DET
ap-1065	124	62	compatibility	compatibility	NOUN
ap-1065	124	63	constraint	constraint	NOUN
ap-1065	124	64	(	(	PUNCT
ap-1065	124	65	1	1	NUM
ap-1065	124	66	)	)	PUNCT
ap-1065	124	67	,	,	PUNCT
ap-1065	124	68	and	and	CCONJ
ap-1065	124	69	the	the	DET
ap-1065	124	70	matrix	matrix	NOUN
ap-1065	124	71	ee	ee	ADP
ap-1065	124	72	h	h	NOUN
ap-1065	124	73	h	h	PROPN
ap-1065	125	1	h	h	PROPN
ap-1065	125	2	h	h	PROPN
ap-1065	125	3	�	�	PROPN
ap-1065	125	4	�	�	PROPN
ap-1065	125	5	�	�	PROPN
ap-1065	125	6	1	1	NUM
ap-1065	125	7	0	0	NUM
ap-1065	125	8	0	0	NUM
ap-1065	125	9	1	1	NUM
ap-1065	125	10	0	0	NUM
ap-1065	125	11	0	0	NUM
ap-1065	125	12	0	0	NUM
ap-1065	125	13	0	0	NUM
ap-1065	125	14	0	0	NUM
ap-1065	125	15	0	0	NUM
ap-1065	125	16	0	0	NUM
ap-1065	125	17	1	1	NUM
ap-1065	125	18	0	0	NUM
ap-1065	125	19	0	0	NUM
ap-1065	125	20	1	1	NUM
ap-1065	125	21	0	0	NUM
ap-1065	125	22	0	0	NUM
ap-1065	125	23	0	0	NUM
ap-1065	125	24	0	0	NUM
ap-1065	125	25	0	0	NUM
ap-1065	125	26	0	0	NUM
ap-1065	125	27	0	0	NUM
ap-1065	125	28	0	0	NUM
ap-1065	125	29	0	0	NUM
ap-1065	125	30	1	1	NUM
ap-1065	125	31	1	1	NUM
ap-1065	125	32	2	2	NUM
ap-1065	125	33	1	1	NUM
ap-1065	125	34	2	2	NUM
ap-1065	125	35	2	2	NUM
ap-1065	125	36	2	2	NUM
ap-1065	125	37	2	2	NUM
ap-1065	125	38	2	2	NUM
ap-1065	125	39	(	(	PUNCT
ap-1065	125	40	)	)	PUNCT
ap-1065	125	41	(	(	PUNCT
ap-1065	125	42	)	)	PUNCT
ap-1065	125	43	(	(	PUNCT
ap-1065	125	44	)	)	PUNCT
ap-1065	125	45	(	(	PUNCT
ap-1065	125	46	)	)	PUNCT
ap-1065	125	47	0	0	NUM
ap-1065	125	48	0	0	NUM
ap-1065	125	49	1	1	NUM
ap-1065	125	50	0	0	NUM
ap-1065	125	51	0	0	NUM
ap-1065	125	52	0	0	NUM
ap-1065	125	53	0	0	NUM
ap-1065	125	54	0	0	NUM
ap-1065	125	55	0	0	NUM
ap-1065	125	56	0	0	NUM
ap-1065	125	57	1	1	NUM
ap-1065	125	58	0	0	NUM
ap-1065	125	59	0	0	NUM
ap-1065	125	60	1	1	NUM
ap-1065	125	61	0	0	NUM
ap-1065	125	62	2	2	NUM
ap-1065	125	63	3	3	NUM
ap-1065	125	64	2	2	NUM
ap-1065	125	65	3	3	NUM
ap-1065	125	66	2	2	NUM
ap-1065	125	67	2	2	NUM
ap-1065	125	68	2	2	NUM
ap-1065	125	69	2	2	NUM
ap-1065	125	70	h	h	NOUN
ap-1065	125	71	h	h	NOUN
ap-1065	125	72	h	h	NOUN
ap-1065	125	73	h	h	NOUN
ap-1065	125	74	(	(	PUNCT
ap-1065	125	75	)	)	PUNCT
ap-1065	125	76	(	(	PUNCT
ap-1065	125	77	)	)	PUNCT
ap-1065	126	1	(	(	PUNCT
ap-1065	126	2	)	)	PUNCT
ap-1065	126	3	(	(	PUNCT
ap-1065	126	4	)	)	PUNCT
ap-1065	126	5	�	�	PROPN
ap-1065	126	6	�	�	PROPN
ap-1065	126	7	�	�	PROPN
ap-1065	126	8	�	�	PROPN
ap-1065	126	9	�	�	PROPN
ap-1065	126	10	�	�	PROPN
ap-1065	126	11	�	�	PROPN
ap-1065	126	12	�	�	PROPN
ap-1065	126	13	�	�	PROPN
ap-1065	126	14	�	�	PROPN
ap-1065	126	15	�	�	PROPN
ap-1065	126	16	�	�	PROPN
ap-1065	126	17	�	�	PROPN
ap-1065	126	18	�	�	PROPN
ap-1065	126	19	�	�	PROPN
ap-1065	126	20	�	�	PROPN
ap-1065	126	21	�	�	PROPN
ap-1065	126	22	�	�	PROPN
ap-1065	126	23	implements	implement	VERB
ap-1065	126	24	the	the	DET
ap-1065	126	25	tying	tie	VERB
ap-1065	126	26	conditions	condition	NOUN
ap-1065	126	27	.	.	PUNCT
ap-1065	127	1	5	5	NUM
ap-1065	127	2	verification	verification	NOUN
ap-1065	127	3	and	and	CCONJ
ap-1065	127	4	validation	validation	NOUN
ap-1065	127	5	of	of	ADP
ap-1065	127	6	the	the	DET
ap-1065	127	7	numerical	numerical	ADJ
ap-1065	127	8	model	model	NOUN
ap-1065	127	9	to	to	PART
ap-1065	127	10	verify	verify	VERB
ap-1065	127	11	and	and	CCONJ
ap-1065	127	12	validate	validate	VERB
ap-1065	127	13	the	the	DET
ap-1065	127	14	performance	performance	NOUN
ap-1065	127	15	of	of	ADP
ap-1065	127	16	the	the	DET
ap-1065	127	17	present	present	ADJ
ap-1065	127	18	approach	approach	NOUN
ap-1065	127	19	,	,	PUNCT
ap-1065	127	20	the	the	DET
ap-1065	127	21	previously	previously	ADV
ap-1065	127	22	described	describe	VERB
ap-1065	127	23	fem	fem	NOUN
ap-1065	127	24	model	model	NOUN
ap-1065	127	25	was	be	AUX
ap-1065	127	26	implemented	implement	VERB
ap-1065	127	27	using	use	VERB
ap-1065	127	28	the	the	DET
ap-1065	127	29	matlab	matlab	PROPN
ap-1065	127	30	®	®	NOUN
ap-1065	127	31	system	system	NOUN
ap-1065	127	32	and	and	CCONJ
ap-1065	127	33	compared	compare	VERB
ap-1065	127	34	with	with	ADP
ap-1065	127	35	predictions	prediction	NOUN
ap-1065	127	36	of	of	ADP
ap-1065	127	37	the	the	DET
ap-1065	127	38	analytical	analytical	ADJ
ap-1065	127	39	model	model	NOUN
ap-1065	127	40	and	and	CCONJ
ap-1065	127	41	experimental	experimental	ADJ
ap-1065	127	42	data	datum	NOUN
ap-1065	127	43	for	for	ADP
ap-1065	127	44	a	a	DET
ap-1065	127	45	three	three	NUM
ap-1065	127	46	-	-	PUNCT
ap-1065	127	47	point	point	NOUN
ap-1065	127	48	bending	bend	VERB
ap-1065	127	49	test	test	NOUN
ap-1065	127	50	on	on	ADP
ap-1065	127	51	the	the	DET
ap-1065	127	52	simply	simply	ADV
ap-1065	127	53	supported	support	VERB
ap-1065	127	54	laminated	laminated	ADJ
ap-1065	127	55	glass	glass	NOUN
ap-1065	127	56	beam	beam	NOUN
ap-1065	127	57	presented	present	VERB
ap-1065	127	58	in	in	ADP
ap-1065	127	59	[	[	X
ap-1065	127	60	5	5	NUM
ap-1065	127	61	]	]	PUNCT
ap-1065	127	62	,	,	PUNCT
ap-1065	127	63	see	see	VERB
ap-1065	127	64	also	also	ADV
ap-1065	127	65	fig	fig	VERB
ap-1065	127	66	.	.	PUNCT
ap-1065	128	1	3	3	X
ap-1065	128	2	.	.	X
ap-1065	128	3	the	the	DET
ap-1065	128	4	width	width	NOUN
ap-1065	128	5	of	of	ADP
ap-1065	128	6	the	the	DET
ap-1065	128	7	beam	beam	NOUN
ap-1065	128	8	is	be	AUX
ap-1065	128	9	b	b	PROPN
ap-1065	128	10	�	�	PROPN
ap-1065	128	11	01	01	NUM
ap-1065	128	12	.	.	PUNCT
ap-1065	129	1	m	m	PROPN
ap-1065	129	2	and	and	CCONJ
ap-1065	129	3	the	the	DET
ap-1065	129	4	material	material	NOUN
ap-1065	129	5	data	datum	NOUN
ap-1065	129	6	of	of	ADP
ap-1065	129	7	individual	individual	ADJ
ap-1065	129	8	components	component	NOUN
ap-1065	129	9	of	of	ADP
ap-1065	129	10	the	the	DET
ap-1065	129	11	structure	structure	NOUN
ap-1065	129	12	are	be	AUX
ap-1065	129	13	available	available	ADJ
ap-1065	129	14	in	in	ADP
ap-1065	129	15	table	table	NOUN
ap-1065	129	16	1	1	NUM
ap-1065	129	17	.	.	PUNCT
ap-1065	130	1	the	the	DET
ap-1065	130	2	modulus	modulus	NOUN
ap-1065	130	3	of	of	ADP
ap-1065	130	4	elasticity	elasticity	NOUN
ap-1065	130	5	of	of	ADP
ap-1065	130	6	the	the	DET
ap-1065	130	7	glass	glass	NOUN
ap-1065	130	8	is	be	AUX
ap-1065	130	9	slightly	slightly	ADV
ap-1065	130	10	lower	low	ADJ
ap-1065	130	11	than	than	ADP
ap-1065	130	12	the	the	DET
ap-1065	130	13	conventional	conventional	ADJ
ap-1065	130	14	24	24	NUM
ap-1065	130	15	©	©	PROPN
ap-1065	130	16	czech	czech	PROPN
ap-1065	130	17	technical	technical	PROPN
ap-1065	130	18	university	university	PROPN
ap-1065	130	19	publishing	publishing	NOUN
ap-1065	130	20	house	house	NOUN
ap-1065	130	21	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1065	130	22	acta	acta	PROPN
ap-1065	130	23	polytechnica	polytechnica	PROPN
ap-1065	130	24	vol	vol	NOUN
ap-1065	130	25	.	.	PUNCT
ap-1065	131	1	48	48	NUM
ap-1065	131	2	no	no	NOUN
ap-1065	131	3	.	.	PUNCT
ap-1065	132	1	6/2008	6/2008	NOUN
ap-1065	133	1	y	y	NOUN
ap-1065	133	2	x	x	PROPN
ap-1065	134	1	z	z	X
ap-1065	134	2	,	,	PUNCT
ap-1065	134	3	w	w	PROPN
ap-1065	134	4	i	i	PRON
ap-1065	134	5	�	�	PROPN
ap-1065	134	6	(	(	PUNCT
ap-1065	134	7	)	)	PUNCT
ap-1065	134	8	i	i	PRON
ap-1065	134	9	e	e	NOUN
ap-1065	134	10	,	,	PUNCT
ap-1065	134	11	a	a	DET
ap-1065	134	12	we	we	PRON
ap-1065	134	13	,	,	PUNCT
ap-1065	134	14	a	a	DET
ap-1065	134	15	�	�	PROPN
ap-1065	134	16	(	(	PUNCT
ap-1065	134	17	)	)	PUNCT
ap-1065	134	18	i	i	PRON
ap-1065	134	19	e	e	VERB
ap-1065	134	20	a	a	DET
ap-1065	134	21	b	b	X
ap-1065	134	22	u	u	NOUN
ap-1065	134	23	(	(	PUNCT
ap-1065	134	24	)	)	PUNCT
ap-1065	134	25	i	i	PRON
ap-1065	134	26	e	e	PROPN
ap-1065	134	27	,	,	PUNCT
ap-1065	134	28	b	b	X
ap-1065	134	29	we	we	PRON
ap-1065	134	30	,	,	PUNCT
ap-1065	134	31	b	b	X
ap-1065	134	32	l	l	X
ap-1065	134	33	e	e	X
ap-1065	134	34	�	�	PROPN
ap-1065	134	35	(	(	PUNCT
ap-1065	134	36	)	)	PUNCT
ap-1065	134	37	i	i	PRON
ap-1065	134	38	e	e	PROPN
ap-1065	134	39	,	,	PUNCT
ap-1065	134	40	b	b	PROPN
ap-1065	134	41	u	u	NOUN
ap-1065	134	42	(	(	PUNCT
ap-1065	134	43	)	)	PUNCT
ap-1065	134	44	i	i	PRON
ap-1065	134	45	e	e	NOUN
ap-1065	134	46	,	,	PUNCT
ap-1065	134	47	a	a	DET
ap-1065	134	48	fig	fig	NOUN
ap-1065	134	49	.	.	PUNCT
ap-1065	135	1	2	2	NUM
ap-1065	135	2	:	:	PUNCT
ap-1065	135	3	finite	finite	PROPN
ap-1065	135	4	element	element	NOUN
ap-1065	135	5	discretization	discretization	NOUN
ap-1065	135	6	of	of	ADP
ap-1065	135	7	the	the	DET
ap-1065	135	8	i	i	PROPN
ap-1065	135	9	-	-	PUNCT
ap-1065	135	10	th	th	VERB
ap-1065	135	11	layer	layer	NOUN
ap-1065	135	12	f	f	PROPN
ap-1065	135	13	glass	glass	NOUN
ap-1065	135	14	5	5	NUM
ap-1065	135	15	mm	mm	INTJ
ap-1065	135	16	pvb	pvb	NOUN
ap-1065	135	17	0.38	0.38	NUM
ap-1065	135	18	mm	mm	NOUN
ap-1065	135	19	glass	glass	NOUN
ap-1065	135	20	5	5	NUM
ap-1065	135	21	mm	mm	NOUN
ap-1065	135	22	10	10	NUM
ap-1065	135	23	cm40	cm40	PROPN
ap-1065	135	24	cm	cm	NOUN
ap-1065	135	25	strain	strain	NOUN
ap-1065	135	26	gage	gage	NOUN
ap-1065	135	27	40	40	NUM
ap-1065	135	28	cm10	cm10	PROPN
ap-1065	135	29	cm	cm	NOUN
ap-1065	135	30	fig	fig	NOUN
ap-1065	135	31	.	.	PUNCT
ap-1065	136	1	3	3	NUM
ap-1065	136	2	:	:	SYM
ap-1065	136	3	three	three	NUM
ap-1065	136	4	point	point	NOUN
ap-1065	136	5	bending	bend	VERB
ap-1065	136	6	setup	setup	NOUN
ap-1065	136	7	for	for	ADP
ap-1065	136	8	simply	simply	ADV
ap-1065	136	9	supported	support	VERB
ap-1065	136	10	beam	beam	NOUN
ap-1065	136	11	glass	glass	NOUN
ap-1065	136	12	pvb	pvb	NOUN
ap-1065	136	13	layer	layer	NOUN
ap-1065	136	14	young	young	PROPN
ap-1065	136	15	’s	’s	PART
ap-1065	136	16	modulus	modulus	NOUN
ap-1065	136	17	,	,	PUNCT
ap-1065	136	18	e	e	PROPN
ap-1065	136	19	64.5	64.5	NUM
ap-1065	136	20	gpa	gpa	PROPN
ap-1065	136	21	1.287	1.287	NUM
ap-1065	136	22	mpa	mpa	NOUN
ap-1065	136	23	poisson	poisson	PROPN
ap-1065	136	24	’s	’s	PART
ap-1065	136	25	ratio	ratio	NOUN
ap-1065	136	26	,	,	PUNCT
ap-1065	136	27	�	�	PROPN
ap-1065	136	28	0.23	0.23	NUM
ap-1065	136	29	0.4	0.4	NUM
ap-1065	136	30	table	table	NOUN
ap-1065	136	31	1	1	NUM
ap-1065	136	32	:	:	PUNCT
ap-1065	136	33	material	material	NOUN
ap-1065	136	34	data	datum	NOUN
ap-1065	136	35	values	value	NOUN
ap-1065	136	36	of	of	ADP
ap-1065	136	37	70–73	70–73	NUM
ap-1065	136	38	gpa	gpa	PROPN
ap-1065	136	39	reported	report	VERB
ap-1065	136	40	in	in	ADP
ap-1065	136	41	the	the	DET
ap-1065	136	42	literature	literature	NOUN
ap-1065	136	43	,	,	PUNCT
ap-1065	136	44	and	and	CCONJ
ap-1065	136	45	is	be	AUX
ap-1065	136	46	specific	specific	ADJ
ap-1065	136	47	for	for	ADP
ap-1065	136	48	the	the	DET
ap-1065	136	49	material	material	NOUN
ap-1065	136	50	employed	employ	VERB
ap-1065	136	51	in	in	ADP
ap-1065	136	52	the	the	DET
ap-1065	136	53	experiment	experiment	NOUN
ap-1065	136	54	.	.	PUNCT
ap-1065	137	1	moreover	moreover	ADV
ap-1065	137	2	,	,	PUNCT
ap-1065	137	3	as	as	SCONJ
ap-1065	137	4	the	the	DET
ap-1065	137	5	pvb	pvb	NOUN
ap-1065	137	6	layer	layer	NOUN
ap-1065	137	7	shows	show	VERB
ap-1065	137	8	viscoelastic	viscoelastic	ADJ
ap-1065	137	9	and	and	CCONJ
ap-1065	137	10	temperature	temperature	NOUN
ap-1065	137	11	-	-	PUNCT
ap-1065	137	12	dependent	dependent	ADJ
ap-1065	137	13	behavior	behavior	NOUN
ap-1065	137	14	,	,	PUNCT
ap-1065	137	15	the	the	DET
ap-1065	137	16	modulus	modulus	NOUN
ap-1065	137	17	of	of	ADP
ap-1065	137	18	elasticity	elasticity	NOUN
ap-1065	137	19	corresponds	correspond	VERB
ap-1065	137	20	to	to	ADP
ap-1065	137	21	an	an	DET
ap-1065	137	22	effective	effective	ADJ
ap-1065	137	23	secant	secant	ADJ
ap-1065	137	24	value	value	NOUN
ap-1065	137	25	related	relate	VERB
ap-1065	137	26	to	to	PART
ap-1065	137	27	load	load	VERB
ap-1065	137	28	duration	duration	NOUN
ap-1065	137	29	of	of	ADP
ap-1065	137	30	s	s	NOUN
ap-1065	137	31	and	and	CCONJ
ap-1065	137	32	temperature	temperature	NOUN
ap-1065	137	33	of	of	ADP
ap-1065	137	34	22	22	NUM
ap-1065	137	35	°	°	NOUN
ap-1065	137	36	c	c	NOUN
ap-1065	137	37	.	.	PUNCT
ap-1065	138	1	table	table	NOUN
ap-1065	138	2	2	2	NUM
ap-1065	138	3	summarizes	summarize	NOUN
ap-1065	138	4	the	the	DET
ap-1065	138	5	values	value	NOUN
ap-1065	138	6	of	of	ADP
ap-1065	138	7	the	the	DET
ap-1065	138	8	mid	mid	ADJ
ap-1065	138	9	-	-	ADJ
ap-1065	138	10	span	span	NOUN
ap-1065	138	11	deflection	deflection	NOUN
ap-1065	138	12	for	for	ADP
ap-1065	138	13	a	a	DET
ap-1065	138	14	representative	representative	ADJ
ap-1065	138	15	load	load	NOUN
ap-1065	138	16	level	level	NOUN
ap-1065	138	17	determined	determine	VERB
ap-1065	138	18	by	by	ADP
ap-1065	138	19	fe	fe	NOUN
ap-1065	138	20	-	-	PUNCT
ap-1065	138	21	based	base	VERB
ap-1065	138	22	discretization	discretization	NOUN
ap-1065	138	23	using	use	VERB
ap-1065	138	24	60	60	NUM
ap-1065	138	25	elements	element	NOUN
ap-1065	138	26	(	(	PUNCT
ap-1065	138	27	30	30	NUM
ap-1065	138	28	when	when	SCONJ
ap-1065	138	29	symmetry	symmetry	NOUN
ap-1065	138	30	of	of	ADP
ap-1065	138	31	the	the	DET
ap-1065	138	32	problem	problem	NOUN
ap-1065	138	33	is	be	AUX
ap-1065	138	34	exploited	exploit	VERB
ap-1065	138	35	)	)	PUNCT
ap-1065	138	36	and	and	CCONJ
ap-1065	138	37	the	the	DET
ap-1065	138	38	corresponding	corresponding	ADJ
ap-1065	138	39	experimental	experimental	ADJ
ap-1065	138	40	values	value	NOUN
ap-1065	138	41	.	.	PUNCT
ap-1065	139	1	note	note	VERB
ap-1065	139	2	that	that	SCONJ
ap-1065	139	3	the	the	DET
ap-1065	139	4	discretization	discretization	NOUN
ap-1065	139	5	is	be	AUX
ap-1065	139	6	sufficient	sufficient	ADJ
ap-1065	139	7	to	to	PART
ap-1065	139	8	achieve	achieve	VERB
ap-1065	139	9	three	three	NUM
ap-1065	139	10	-	-	PUNCT
ap-1065	139	11	digit	digit	NOUN
ap-1065	139	12	accuracy	accuracy	NOUN
ap-1065	139	13	in	in	ADP
ap-1065	139	14	the	the	DET
ap-1065	139	15	mid	mid	ADJ
ap-1065	139	16	-	-	ADJ
ap-1065	139	17	span	span	NOUN
ap-1065	139	18	deflection	deflection	NOUN
ap-1065	139	19	.	.	PUNCT
ap-1065	140	1	in	in	ADP
ap-1065	140	2	addition	addition	NOUN
ap-1065	140	3	to	to	ADP
ap-1065	140	4	the	the	DET
ap-1065	140	5	results	result	NOUN
ap-1065	140	6	obtained	obtain	VERB
ap-1065	140	7	by	by	ADP
ap-1065	140	8	the	the	DET
ap-1065	140	9	analytical	analytical	ADJ
ap-1065	140	10	method	method	NOUN
ap-1065	140	11	proposed	propose	VERB
ap-1065	140	12	by	by	ADP
ap-1065	140	13	asik	asik	PROPN
ap-1065	140	14	and	and	CCONJ
ap-1065	140	15	tezcan	tezcan	ADJ
ap-1065	140	16	in	in	ADP
ap-1065	140	17	[	[	X
ap-1065	140	18	5	5	NUM
ap-1065	140	19	]	]	PUNCT
ap-1065	140	20	,	,	PUNCT
ap-1065	140	21	the	the	DET
ap-1065	140	22	results	result	NOUN
ap-1065	140	23	of	of	ADP
ap-1065	140	24	the	the	DET
ap-1065	140	25	analysis	analysis	NOUN
ap-1065	140	26	using	use	VERB
ap-1065	140	27	adina	adina	PROPN
ap-1065	140	28	®	®	NOUN
ap-1065	140	29	system	system	NOUN
ap-1065	140	30	and	and	CCONJ
ap-1065	140	31	the	the	DET
ap-1065	140	32	elementary	elementary	ADJ
ap-1065	140	33	lower	low	ADJ
ap-1065	140	34	and	and	CCONJ
ap-1065	140	35	upper	upper	ADJ
ap-1065	140	36	bounds	bound	NOUN
ap-1065	140	37	are	be	AUX
ap-1065	140	38	included	include	VERB
ap-1065	140	39	.	.	PUNCT
ap-1065	141	1	in	in	ADP
ap-1065	141	2	particular	particular	ADJ
ap-1065	141	3	,	,	PUNCT
ap-1065	141	4	the	the	DET
ap-1065	141	5	adina	adina	PROPN
ap-1065	141	6	®	®	PROPN
ap-1065	141	7	model	model	NOUN
ap-1065	141	8	is	be	AUX
ap-1065	141	9	based	base	VERB
ap-1065	141	10	on	on	ADP
ap-1065	141	11	the	the	DET
ap-1065	141	12	classical	classical	ADJ
ap-1065	141	13	laminate	laminate	NOUN
ap-1065	141	14	theory	theory	NOUN
ap-1065	141	15	,	,	PUNCT
ap-1065	141	16	cf	cf	NOUN
ap-1065	141	17	.	.	PUNCT
ap-1065	142	1	[	[	X
ap-1065	142	2	11	11	NUM
ap-1065	142	3	]	]	PUNCT
ap-1065	142	4	,	,	PUNCT
ap-1065	142	5	whereas	whereas	SCONJ
ap-1065	142	6	the	the	DET
ap-1065	142	7	two	two	NUM
ap-1065	142	8	simplified	simplified	ADJ
ap-1065	142	9	approaches	approach	NOUN
ap-1065	142	10	assume	assume	VERB
ap-1065	142	11	zero	zero	NUM
ap-1065	142	12	or	or	CCONJ
ap-1065	142	13	infinite	infinite	ADJ
ap-1065	142	14	compliance	compliance	NOUN
ap-1065	142	15	of	of	ADP
ap-1065	142	16	the	the	DET
ap-1065	142	17	interlayer	interlayer	NOUN
ap-1065	142	18	,	,	PUNCT
ap-1065	142	19	recall	recall	VERB
ap-1065	142	20	also	also	ADV
ap-1065	142	21	the	the	DET
ap-1065	142	22	discussion	discussion	NOUN
ap-1065	142	23	in	in	ADP
ap-1065	142	24	section	section	NOUN
ap-1065	142	25	2	2	NUM
ap-1065	142	26	.	.	PUNCT
ap-1065	143	1	in	in	ADP
ap-1065	143	2	the	the	DET
ap-1065	143	3	following	follow	VERB
ap-1065	143	4	discussion	discussion	NOUN
ap-1065	143	5	,	,	PUNCT
ap-1065	143	6	e.g.	e.g.	ADV
ap-1065	143	7	�	�	PROPN
ap-1065	143	8	exp	exp	NOUN
ap-1065	143	9	num	num	ADJ
ap-1065	143	10	denotes	denote	NOUN
ap-1065	143	11	the	the	DET
ap-1065	143	12	relative	relative	ADJ
ap-1065	143	13	error	error	NOUN
ap-1065	143	14	between	between	ADP
ap-1065	143	15	the	the	DET
ap-1065	143	16	numerical	numerical	ADJ
ap-1065	143	17	prediction	prediction	NOUN
ap-1065	143	18	and	and	CCONJ
ap-1065	143	19	reference	reference	NOUN
ap-1065	143	20	experimental	experimental	ADJ
ap-1065	143	21	value	value	NOUN
ap-1065	143	22	,	,	PUNCT
ap-1065	143	23	while	while	SCONJ
ap-1065	143	24	e.g.	e.g.	ADV
ap-1065	143	25	�	�	NOUN
ap-1065	143	26	an	an	PRON
ap-1065	143	27	is	be	AUX
ap-1065	143	28	used	use	VERB
ap-1065	143	29	for	for	ADP
ap-1065	143	30	the	the	DET
ap-1065	143	31	error	error	NOUN
ap-1065	143	32	of	of	ADP
ap-1065	143	33	the	the	DET
ap-1065	143	34	analytical	analytical	ADJ
ap-1065	143	35	solution	solution	NOUN
ap-1065	143	36	when	when	SCONJ
ap-1065	143	37	compared	compare	VERB
ap-1065	143	38	to	to	ADP
ap-1065	143	39	the	the	DET
ap-1065	143	40	candidate	candidate	NOUN
ap-1065	143	41	approaches	approach	NOUN
ap-1065	143	42	.	.	PUNCT
ap-1065	144	1	clearly	clearly	ADV
ap-1065	144	2	,	,	PUNCT
ap-1065	144	3	the	the	DET
ap-1065	144	4	results	result	NOUN
ap-1065	144	5	of	of	ADP
ap-1065	144	6	the	the	DET
ap-1065	144	7	last	last	ADJ
ap-1065	144	8	three	three	NUM
ap-1065	144	9	methods	method	NOUN
ap-1065	144	10	differ	differ	VERB
ap-1065	144	11	substantially	substantially	ADV
ap-1065	144	12	from	from	ADP
ap-1065	144	13	the	the	DET
ap-1065	144	14	experimental	experimental	ADJ
ap-1065	144	15	data	datum	NOUN
ap-1065	144	16	and	and	CCONJ
ap-1065	144	17	also	also	ADV
ap-1065	144	18	from	from	ADP
ap-1065	144	19	the	the	DET
ap-1065	144	20	analytical	analytical	ADJ
ap-1065	144	21	results	result	NOUN
ap-1065	144	22	.	.	PUNCT
ap-1065	145	1	the	the	DET
ap-1065	145	2	proposed	propose	VERB
ap-1065	145	3	numerical	numerical	PROPN
ap-1065	145	4	model	model	PROPN
ap-1065	145	5	,	,	PUNCT
ap-1065	145	6	on	on	ADP
ap-1065	145	7	the	the	DET
ap-1065	145	8	other	other	ADJ
ap-1065	145	9	hand	hand	NOUN
ap-1065	145	10	,	,	PUNCT
ap-1065	145	11	shows	show	VERB
ap-1065	145	12	a	a	DET
ap-1065	145	13	response	response	NOUN
ap-1065	145	14	almost	almost	ADV
ap-1065	145	15	identical	identical	ADJ
ap-1065	145	16	to	to	ADP
ap-1065	145	17	the	the	DET
ap-1065	145	18	analytical	analytical	ADJ
ap-1065	145	19	method	method	NOUN
ap-1065	145	20	,	,	PUNCT
ap-1065	145	21	which	which	PRON
ap-1065	145	22	deviates	deviate	VERB
ap-1065	145	23	from	from	ADP
ap-1065	145	24	the	the	DET
ap-1065	145	25	experimental	experimental	ADJ
ap-1065	145	26	measurement	measurement	NOUN
ap-1065	145	27	by	by	ADP
ap-1065	145	28	less	less	ADJ
ap-1065	145	29	than	than	ADP
ap-1065	145	30	6	6	NUM
ap-1065	145	31	%	%	NOUN
ap-1065	145	32	.	.	PUNCT
ap-1065	146	1	such	such	ADJ
ap-1065	146	2	accuracy	accuracy	NOUN
ap-1065	146	3	can	can	AUX
ap-1065	146	4	be	be	AUX
ap-1065	146	5	considered	consider	VERB
ap-1065	146	6	as	as	ADV
ap-1065	146	7	sufficient	sufficient	ADJ
ap-1065	146	8	from	from	ADP
ap-1065	146	9	the	the	DET
ap-1065	146	10	practical	practical	ADJ
ap-1065	146	11	point	point	NOUN
ap-1065	146	12	of	of	ADP
ap-1065	146	13	view	view	NOUN
ap-1065	146	14	.	.	PUNCT
ap-1065	147	1	to	to	PART
ap-1065	147	2	further	far	ADV
ap-1065	147	3	confirm	confirm	VERB
ap-1065	147	4	the	the	DET
ap-1065	147	5	predictive	predictive	ADJ
ap-1065	147	6	capacities	capacity	NOUN
ap-1065	147	7	of	of	ADP
ap-1065	147	8	the	the	DET
ap-1065	147	9	proposed	propose	VERB
ap-1065	147	10	numerical	numerical	ADJ
ap-1065	147	11	scheme	scheme	NOUN
ap-1065	147	12	,	,	PUNCT
ap-1065	147	13	a	a	DET
ap-1065	147	14	response	response	NOUN
ap-1065	147	15	corresponding	correspond	VERB
ap-1065	147	16	to	to	ADP
ap-1065	147	17	a	a	DET
ap-1065	147	18	proportionally	proportionally	ADV
ap-1065	147	19	increasing	increase	VERB
ap-1065	147	20	load	load	NOUN
ap-1065	147	21	was	be	AUX
ap-1065	147	22	investigated	investigate	VERB
ap-1065	147	23	.	.	PUNCT
ap-1065	148	1	the	the	DET
ap-1065	148	2	results	result	NOUN
ap-1065	148	3	appear	appear	VERB
ap-1065	148	4	in	in	ADP
ap-1065	148	5	tables	table	NOUN
ap-1065	148	6	3	3	NUM
ap-1065	148	7	and	and	CCONJ
ap-1065	148	8	4	4	NUM
ap-1065	148	9	.	.	PUNCT
ap-1065	148	10	again	again	ADV
ap-1065	148	11	,	,	PUNCT
ap-1065	148	12	the	the	DET
ap-1065	148	13	method	method	NOUN
ap-1065	148	14	seems	seem	VERB
ap-1065	148	15	to	to	PART
ap-1065	148	16	be	be	AUX
ap-1065	148	17	suf	suf	PROPN
ap-1065	148	18	©	©	PROPN
ap-1065	148	19	czech	czech	PROPN
ap-1065	148	20	technical	technical	PROPN
ap-1065	148	21	university	university	PROPN
ap-1065	148	22	publishing	publishing	NOUN
ap-1065	148	23	house	house	NOUN
ap-1065	148	24	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1065	148	25	25	25	NUM
ap-1065	148	26	acta	acta	PROPN
ap-1065	148	27	polytechnica	polytechnica	PROPN
ap-1065	148	28	vol	vol	NOUN
ap-1065	148	29	.	.	PUNCT
ap-1065	149	1	48	48	NUM
ap-1065	149	2	no	no	NOUN
ap-1065	149	3	.	.	PUNCT
ap-1065	150	1	6/2008	6/2008	NOUN
ap-1065	150	2	model	model	NOUN
ap-1065	150	3	central	central	ADJ
ap-1065	150	4	deflection	deflection	NOUN
ap-1065	150	5	[	[	X
ap-1065	150	6	mm	mm	X
ap-1065	150	7	]	]	X
ap-1065	150	8	�	�	PROPN
ap-1065	150	9	exp	exp	NOUN
ap-1065	150	10	[	[	X
ap-1065	150	11	%	%	X
ap-1065	150	12	]	]	X
ap-1065	150	13	�	�	PROPN
ap-1065	150	14	an	an	DET
ap-1065	150	15	[	[	X
ap-1065	150	16	%	%	NOUN
ap-1065	150	17	]	]	X
ap-1065	150	18	laminated	laminated	ADJ
ap-1065	150	19	glass	glass	NOUN
ap-1065	150	20	beam	beam	NOUN
ap-1065	150	21	:	:	PUNCT
ap-1065	150	22	thickness	thickness	NOUN
ap-1065	151	1	[	[	X
ap-1065	151	2	mm	mm	X
ap-1065	151	3	]	]	X
ap-1065	151	4	5/0.38/5	5/0.38/5	NUM
ap-1065	151	5	(	(	PUNCT
ap-1065	151	6	glass	glass	NOUN
ap-1065	151	7	/	/	SYM
ap-1065	151	8	pvb	pvb	NOUN
ap-1065	151	9	/	/	SYM
ap-1065	151	10	glass	glass	NOUN
ap-1065	151	11	)	)	PUNCT
ap-1065	151	12	experiment	experiment	NOUN
ap-1065	151	13	1.27	1.27	NUM
ap-1065	151	14	–	–	PUNCT
ap-1065	151	15	�	�	PROPN
ap-1065	151	16	5.2	5.2	NUM
ap-1065	151	17	analytical	analytical	ADJ
ap-1065	151	18	model	model	NOUN
ap-1065	151	19	1.34	1.34	NUM
ap-1065	151	20	5.5	5.5	NUM
ap-1065	151	21	–	–	PUNCT
ap-1065	151	22	numerical	numerical	ADJ
ap-1065	151	23	model	model	NOUN
ap-1065	151	24	1.34	1.34	NUM
ap-1065	151	25	5.5	5.5	NUM
ap-1065	151	26	0.0	0.0	NUM
ap-1065	151	27	adina	adina	PROPN
ap-1065	151	28	®	®	PROPN
ap-1065	151	29	(	(	PUNCT
ap-1065	151	30	multi	multi	ADJ
ap-1065	151	31	-	-	ADJ
ap-1065	151	32	layered	layered	ADJ
ap-1065	151	33	shell	shell	NOUN
ap-1065	151	34	)	)	PUNCT
ap-1065	151	35	0.89	0.89	NUM
ap-1065	151	36	�	�	PROPN
ap-1065	151	37	30.2	30.2	NUM
ap-1065	151	38	�	�	NOUN
ap-1065	151	39	33.8	33.8	NUM
ap-1065	151	40	monolithic	monolithic	ADJ
ap-1065	151	41	glass	glass	NOUN
ap-1065	151	42	beam	beam	NOUN
ap-1065	151	43	:	:	PUNCT
ap-1065	151	44	thickness	thickness	NOUN
ap-1065	152	1	[	[	X
ap-1065	152	2	mm	mm	X
ap-1065	152	3	]	]	X
ap-1065	152	4	10	10	NUM
ap-1065	152	5	(	(	PUNCT
ap-1065	152	6	glass+glass	glass+glass	PROPN
ap-1065	152	7	)	)	PUNCT
ap-1065	152	8	analytical	analytical	ADJ
ap-1065	152	9	model	model	NOUN
ap-1065	152	10	0.99	0.99	NUM
ap-1065	152	11	�	�	PROPN
ap-1065	152	12	21.8	21.8	NUM
ap-1065	152	13	�	�	PROPN
ap-1065	152	14	25.9	25.9	NUM
ap-1065	152	15	two	two	NUM
ap-1065	152	16	independent	independent	ADJ
ap-1065	152	17	glass	glass	NOUN
ap-1065	152	18	beams	beam	NOUN
ap-1065	152	19	:	:	PUNCT
ap-1065	152	20	thickness	thickness	PROPN
ap-1065	153	1	[	[	X
ap-1065	153	2	mm	mm	X
ap-1065	153	3	]	]	X
ap-1065	153	4	5/5	5/5	NUM
ap-1065	153	5	(	(	PUNCT
ap-1065	153	6	without	without	ADP
ap-1065	153	7	any	any	DET
ap-1065	153	8	interlayer	interlayer	NOUN
ap-1065	153	9	)	)	PUNCT
ap-1065	153	10	analytical	analytical	ADJ
ap-1065	153	11	model	model	NOUN
ap-1065	153	12	3.97	3.97	NUM
ap-1065	153	13	212.6	212.6	NUM
ap-1065	153	14	196.2	196.2	NUM
ap-1065	153	15	table	table	NOUN
ap-1065	153	16	2	2	NUM
ap-1065	153	17	:	:	PUNCT
ap-1065	153	18	comparison	comparison	NOUN
ap-1065	153	19	of	of	ADP
ap-1065	153	20	results	result	NOUN
ap-1065	153	21	for	for	ADP
ap-1065	153	22	a	a	DET
ap-1065	153	23	simply	simply	ADV
ap-1065	153	24	supported	support	VERB
ap-1065	153	25	beam	beam	NOUN
ap-1065	153	26	(	(	PUNCT
ap-1065	153	27	load	load	NOUN
ap-1065	153	28	50	50	NUM
ap-1065	153	29	n	n	CCONJ
ap-1065	153	30	)	)	PUNCT
ap-1065	153	31	load	load	NOUN
ap-1065	153	32	[	[	X
ap-1065	153	33	n	n	X
ap-1065	153	34	]	]	X
ap-1065	153	35	central	central	ADJ
ap-1065	153	36	deflection	deflection	NOUN
ap-1065	154	1	[	[	X
ap-1065	154	2	mm	mm	X
ap-1065	154	3	]	]	X
ap-1065	154	4	wexp	wexp	PROPN
ap-1065	154	5	wan	wan	PROPN
ap-1065	154	6	�	�	PROPN
ap-1065	154	7	exp	exp	PROPN
ap-1065	154	8	an	an	DET
ap-1065	154	9	[	[	X
ap-1065	154	10	%	%	X
ap-1065	154	11	]	]	X
ap-1065	154	12	wnum	wnum	PROPN
ap-1065	154	13	�	�	PROPN
ap-1065	154	14	exp	exp	NOUN
ap-1065	154	15	num	num	PROPN
ap-1065	155	1	[	[	X
ap-1065	155	2	%	%	X
ap-1065	155	3	]	]	X
ap-1065	155	4	�	�	PROPN
ap-1065	155	5	an	an	DET
ap-1065	155	6	num	num	ADJ
ap-1065	156	1	[	[	X
ap-1065	156	2	%	%	X
ap-1065	156	3	]	]	X
ap-1065	156	4	50	50	NUM
ap-1065	156	5	1.27	1.27	NUM
ap-1065	156	6	1.34	1.34	NUM
ap-1065	156	7	5.51	5.51	NUM
ap-1065	156	8	1.34	1.34	NUM
ap-1065	156	9	5.51	5.51	NUM
ap-1065	156	10	0.00	0.00	NUM
ap-1065	156	11	100	100	NUM
ap-1065	156	12	2.55	2.55	NUM
ap-1065	156	13	2.69	2.69	NUM
ap-1065	156	14	5.49	5.49	NUM
ap-1065	156	15	2.68	2.68	NUM
ap-1065	156	16	5.10	5.10	NUM
ap-1065	156	17	�	�	PROPN
ap-1065	156	18	0.37	0.37	NUM
ap-1065	156	19	150	150	NUM
ap-1065	156	20	4.12	4.12	NUM
ap-1065	156	21	4.03	4.03	NUM
ap-1065	156	22	�	�	PROPN
ap-1065	156	23	2.18	2.18	NUM
ap-1065	156	24	4.02	4.02	NUM
ap-1065	156	25	�	�	PROPN
ap-1065	156	26	2.43	2.43	NUM
ap-1065	156	27	�	�	NOUN
ap-1065	156	28	0.25	0.25	NUM
ap-1065	156	29	200	200	NUM
ap-1065	156	30	5.57	5.57	NUM
ap-1065	156	31	5.38	5.38	NUM
ap-1065	156	32	�	�	PROPN
ap-1065	156	33	3.41	3.41	NUM
ap-1065	156	34	5.36	5.36	NUM
ap-1065	156	35	�	�	PROPN
ap-1065	156	36	3.77	3.77	NUM
ap-1065	156	37	�	�	NOUN
ap-1065	156	38	0.37	0.37	NUM
ap-1065	156	39	table	table	NOUN
ap-1065	156	40	3	3	NUM
ap-1065	156	41	:	:	PUNCT
ap-1065	156	42	comparison	comparison	NOUN
ap-1065	156	43	of	of	ADP
ap-1065	156	44	deflections	deflection	NOUN
ap-1065	156	45	for	for	ADP
ap-1065	156	46	a	a	DET
ap-1065	156	47	simply	simply	ADV
ap-1065	156	48	supported	support	VERB
ap-1065	156	49	beam	beam	NOUN
ap-1065	156	50	load	load	NOUN
ap-1065	156	51	[	[	X
ap-1065	156	52	n	n	CCONJ
ap-1065	156	53	]	]	X
ap-1065	156	54	maximum	maximum	ADJ
ap-1065	156	55	strain	strain	NOUN
ap-1065	156	56	[	[	PUNCT
ap-1065	156	57	×10	×10	NOUN
ap-1065	156	58	-	-	SYM
ap-1065	156	59	6	6	NUM
ap-1065	156	60	]	]	PUNCT
ap-1065	156	61	maximum	maximum	ADJ
ap-1065	156	62	stress	stress	NOUN
ap-1065	156	63	[	[	X
ap-1065	156	64	mpa	mpa	X
ap-1065	156	65	]	]	X
ap-1065	156	66	�	�	PROPN
ap-1065	156	67	an	an	DET
ap-1065	156	68	�	�	PROPN
ap-1065	156	69	num	num	PROPN
ap-1065	156	70	�	�	PROPN
ap-1065	156	71	an	an	DET
ap-1065	156	72	num	num	ADJ
ap-1065	157	1	[	[	X
ap-1065	157	2	%	%	X
ap-1065	157	3	]	]	X
ap-1065	157	4	�	�	PROPN
ap-1065	157	5	an	an	DET
ap-1065	157	6	�	�	PROPN
ap-1065	157	7	num	num	PROPN
ap-1065	157	8	�	�	PROPN
ap-1065	158	1	an	an	DET
ap-1065	158	2	num	num	NOUN
ap-1065	159	1	[	[	X
ap-1065	159	2	%	%	X
ap-1065	159	3	]	]	X
ap-1065	159	4	50	50	NUM
ap-1065	159	5	112	112	NUM
ap-1065	159	6	114	114	NUM
ap-1065	159	7	1.79	1.79	NUM
ap-1065	159	8	7.23	7.23	NUM
ap-1065	159	9	7.34	7.34	NUM
ap-1065	159	10	1.52	1.52	NUM
ap-1065	159	11	100	100	NUM
ap-1065	159	12	224	224	NUM
ap-1065	159	13	228	228	NUM
ap-1065	159	14	1.79	1.79	NUM
ap-1065	159	15	14.45	14.45	NUM
ap-1065	159	16	14.68	14.68	NUM
ap-1065	159	17	1.59	1.59	NUM
ap-1065	159	18	150	150	NUM
ap-1065	159	19	336	336	NUM
ap-1065	159	20	341	341	NUM
ap-1065	159	21	1.49	1.49	NUM
ap-1065	159	22	21.68	21.68	NUM
ap-1065	159	23	22.02	22.02	NUM
ap-1065	159	24	1.57	1.57	NUM
ap-1065	159	25	200	200	NUM
ap-1065	159	26	448	448	NUM
ap-1065	159	27	455	455	NUM
ap-1065	159	28	1.56	1.56	NUM
ap-1065	159	29	28.9	28.9	NUM
ap-1065	159	30	29.36	29.36	NUM
ap-1065	159	31	1.59	1.59	NUM
ap-1065	159	32	table	table	NOUN
ap-1065	159	33	4	4	NUM
ap-1065	159	34	.	.	PUNCT
ap-1065	159	35	comparison	comparison	NOUN
ap-1065	159	36	of	of	ADP
ap-1065	159	37	stresses	stress	NOUN
ap-1065	159	38	and	and	CCONJ
ap-1065	159	39	strains	strain	NOUN
ap-1065	159	40	for	for	ADP
ap-1065	159	41	a	a	DET
ap-1065	159	42	simply	simply	ADV
ap-1065	159	43	supported	support	VERB
ap-1065	159	44	beam	beam	NOUN
ap-1065	159	45	ficiently	ficiently	ADV
ap-1065	159	46	accurate	accurate	ADJ
ap-1065	159	47	in	in	ADP
ap-1065	159	48	the	the	DET
ap-1065	159	49	investigated	investigate	VERB
ap-1065	159	50	range	range	NOUN
ap-1065	159	51	of	of	ADP
ap-1065	159	52	loads	load	NOUN
ap-1065	159	53	when	when	SCONJ
ap-1065	159	54	considering	consider	VERB
ap-1065	159	55	the	the	DET
ap-1065	159	56	values	value	NOUN
ap-1065	159	57	of	of	ADP
ap-1065	159	58	deflections	deflection	NOUN
ap-1065	159	59	as	as	ADV
ap-1065	159	60	well	well	ADV
ap-1065	159	61	as	as	ADP
ap-1065	159	62	the	the	DET
ap-1065	159	63	values	value	NOUN
ap-1065	159	64	of	of	ADP
ap-1065	159	65	local	local	ADJ
ap-1065	159	66	stresses	stress	NOUN
ap-1065	159	67	and	and	CCONJ
ap-1065	159	68	strains	strain	NOUN
ap-1065	159	69	.	.	PUNCT
ap-1065	160	1	6	6	NUM
ap-1065	160	2	conclusions	conclusion	NOUN
ap-1065	160	3	as	as	SCONJ
ap-1065	160	4	shown	show	VERB
ap-1065	160	5	by	by	ADP
ap-1065	160	6	the	the	DET
ap-1065	160	7	presented	present	VERB
ap-1065	160	8	results	result	NOUN
ap-1065	160	9	,	,	PUNCT
ap-1065	160	10	the	the	DET
ap-1065	160	11	proposed	propose	VERB
ap-1065	160	12	numerical	numerical	ADJ
ap-1065	160	13	method	method	NOUN
ap-1065	160	14	is	be	AUX
ap-1065	160	15	well	well	ADV
ap-1065	160	16	-	-	PUNCT
ap-1065	160	17	suited	suit	VERB
ap-1065	160	18	for	for	ADP
ap-1065	160	19	modeling	model	VERB
ap-1065	160	20	laminated	laminate	VERB
ap-1065	160	21	glass	glass	NOUN
ap-1065	160	22	beams	beam	NOUN
ap-1065	160	23	,	,	PUNCT
ap-1065	160	24	mainly	mainly	ADV
ap-1065	160	25	because	because	SCONJ
ap-1065	160	26	of	of	ADP
ap-1065	160	27	its	its	PRON
ap-1065	160	28	low	low	ADJ
ap-1065	160	29	computational	computational	ADJ
ap-1065	160	30	cost	cost	NOUN
ap-1065	160	31	and	and	CCONJ
ap-1065	160	32	its	its	PRON
ap-1065	160	33	accurate	accurate	ADJ
ap-1065	160	34	representation	representation	NOUN
ap-1065	160	35	of	of	ADP
ap-1065	160	36	the	the	DET
ap-1065	160	37	behavior	behavior	NOUN
ap-1065	160	38	of	of	ADP
ap-1065	160	39	the	the	DET
ap-1065	160	40	structural	structural	ADJ
ap-1065	160	41	member	member	NOUN
ap-1065	160	42	.	.	PUNCT
ap-1065	161	1	future	future	ADJ
ap-1065	161	2	improvements	improvement	NOUN
ap-1065	161	3	of	of	ADP
ap-1065	161	4	the	the	DET
ap-1065	161	5	model	model	NOUN
ap-1065	161	6	will	will	AUX
ap-1065	161	7	consider	consider	VERB
ap-1065	161	8	large	large	ADJ
ap-1065	161	9	deflections	deflection	NOUN
ap-1065	161	10	and	and	CCONJ
ap-1065	161	11	the	the	DET
ap-1065	161	12	time	time	NOUN
ap-1065	161	13	-	-	PUNCT
ap-1065	161	14	dependent	dependent	ADJ
ap-1065	161	15	response	response	NOUN
ap-1065	161	16	of	of	ADP
ap-1065	161	17	the	the	DET
ap-1065	161	18	interlayer	interlayer	NOUN
ap-1065	161	19	and	and	CCONJ
ap-1065	161	20	will	will	AUX
ap-1065	161	21	be	be	AUX
ap-1065	161	22	reported	report	VERB
ap-1065	161	23	separately	separately	ADV
ap-1065	161	24	.	.	PUNCT
ap-1065	162	1	acknowledgment	acknowledgment	NOUN
ap-1065	162	2	the	the	DET
ap-1065	162	3	support	support	NOUN
ap-1065	162	4	provided	provide	VERB
ap-1065	162	5	by	by	ADP
ap-1065	162	6	gačr	gačr	NOUN
ap-1065	162	7	grant	grant	NOUN
ap-1065	162	8	no	no	NOUN
ap-1065	162	9	.	.	PUNCT
ap-1065	163	1	106/07/1244	106/07/1244	PROPN
ap-1065	163	2	is	be	AUX
ap-1065	163	3	gratefully	gratefully	ADV
ap-1065	163	4	acknowledged	acknowledge	VERB
ap-1065	163	5	.	.	PUNCT
ap-1065	164	1	references	reference	NOUN
ap-1065	164	2	[	[	X
ap-1065	164	3	1	1	NUM
ap-1065	164	4	]	]	PUNCT
ap-1065	164	5	vallabhan	vallabhan	ADJ
ap-1065	164	6	,	,	PUNCT
ap-1065	164	7	c.	c.	PROPN
ap-1065	164	8	v.	v.	PROPN
ap-1065	164	9	g.	g.	PROPN
ap-1065	164	10	,	,	PUNCT
ap-1065	164	11	minor	minor	PROPN
ap-1065	164	12	,	,	PUNCT
ap-1065	164	13	j.	j.	PROPN
ap-1065	164	14	e.	e.	PROPN
ap-1065	164	15	,	,	PUNCT
ap-1065	164	16	nagalla	nagalla	PROPN
ap-1065	164	17	,	,	PUNCT
ap-1065	164	18	s.	s.	PROPN
ap-1065	164	19	r.	r.	PROPN
ap-1065	164	20	:	:	PUNCT
ap-1065	164	21	stress	stress	NOUN
ap-1065	164	22	in	in	ADP
ap-1065	164	23	layered	layered	ADJ
ap-1065	164	24	glass	glass	NOUN
ap-1065	164	25	units	unit	NOUN
ap-1065	164	26	and	and	CCONJ
ap-1065	164	27	monolithic	monolithic	ADJ
ap-1065	164	28	glass	glass	NOUN
ap-1065	164	29	plates	plate	NOUN
ap-1065	164	30	,	,	PUNCT
ap-1065	164	31	journal	journal	NOUN
ap-1065	164	32	of	of	ADP
ap-1065	164	33	structural	structural	ADJ
ap-1065	164	34	engineering	engineering	NOUN
ap-1065	164	35	,	,	PUNCT
ap-1065	164	36	vol	vol	NOUN
ap-1065	164	37	.	.	PROPN
ap-1065	164	38	113	113	NUM
ap-1065	164	39	(	(	PUNCT
ap-1065	164	40	1987	1987	NUM
ap-1065	164	41	)	)	PUNCT
ap-1065	164	42	,	,	PUNCT
ap-1065	164	43	p.	p.	NOUN
ap-1065	164	44	36–43	36–43	NUM
ap-1065	164	45	.	.	PUNCT
ap-1065	165	1	[	[	X
ap-1065	165	2	2	2	NUM
ap-1065	165	3	]	]	PUNCT
ap-1065	165	4	norville	norville	PROPN
ap-1065	165	5	,	,	PUNCT
ap-1065	165	6	h.	h.	PROPN
ap-1065	165	7	s.	s.	PROPN
ap-1065	165	8	,	,	PUNCT
ap-1065	165	9	king	king	PROPN
ap-1065	165	10	,	,	PUNCT
ap-1065	165	11	k.	k.	PROPN
ap-1065	165	12	w.	w.	PROPN
ap-1065	165	13	,	,	PUNCT
ap-1065	165	14	swofford	swofford	PROPN
ap-1065	165	15	,	,	PUNCT
ap-1065	165	16	j.	j.	PROPN
ap-1065	165	17	l.	l.	PROPN
ap-1065	165	18	:	:	PUNCT
ap-1065	165	19	behavior	behavior	NOUN
ap-1065	165	20	and	and	CCONJ
ap-1065	165	21	strength	strength	NOUN
ap-1065	165	22	of	of	ADP
ap-1065	165	23	laminated	laminated	ADJ
ap-1065	165	24	glass	glass	NOUN
ap-1065	165	25	,	,	PUNCT
ap-1065	165	26	journal	journal	NOUN
ap-1065	165	27	of	of	ADP
ap-1065	165	28	engineering	engineering	NOUN
ap-1065	165	29	mechanics	mechanic	NOUN
ap-1065	165	30	,	,	PUNCT
ap-1065	165	31	vol	vol	NOUN
ap-1065	165	32	.	.	PROPN
ap-1065	165	33	124	124	NUM
ap-1065	165	34	(	(	PUNCT
ap-1065	165	35	1998	1998	NUM
ap-1065	165	36	)	)	PUNCT
ap-1065	165	37	,	,	PUNCT
ap-1065	165	38	p.	p.	NOUN
ap-1065	165	39	46–53	46–53	NUM
ap-1065	165	40	.	.	PUNCT
ap-1065	166	1	[	[	X
ap-1065	166	2	3	3	NUM
ap-1065	166	3	]	]	PUNCT
ap-1065	166	4	vallabhan	vallabhan	NOUN
ap-1065	166	5	,	,	PUNCT
ap-1065	166	6	c.	c.	PROPN
ap-1065	166	7	v.	v.	PROPN
ap-1065	166	8	g.	g.	PROPN
ap-1065	166	9	,	,	PUNCT
ap-1065	166	10	das	das	PROPN
ap-1065	166	11	,	,	PUNCT
ap-1065	166	12	y.	y.	PROPN
ap-1065	166	13	c.	c.	PROPN
ap-1065	166	14	,	,	PUNCT
ap-1065	166	15	magdi	magdi	PROPN
ap-1065	166	16	,	,	PUNCT
ap-1065	166	17	m.	m.	NOUN
ap-1065	166	18	,	,	PUNCT
ap-1065	166	19	asik	asik	PROPN
ap-1065	166	20	,	,	PUNCT
ap-1065	166	21	m.	m.	NOUN
ap-1065	166	22	,	,	PUNCT
ap-1065	166	23	bailey	bailey	PROPN
ap-1065	166	24	,	,	PUNCT
ap-1065	166	25	j.	j.	PROPN
ap-1065	166	26	r.	r.	PROPN
ap-1065	166	27	:	:	PUNCT
ap-1065	166	28	analysis	analysis	NOUN
ap-1065	166	29	of	of	ADP
ap-1065	166	30	laminated	laminated	ADJ
ap-1065	166	31	glass	glass	NOUN
ap-1065	166	32	units	unit	NOUN
ap-1065	166	33	,	,	PUNCT
ap-1065	166	34	journal	journal	NOUN
ap-1065	166	35	of	of	ADP
ap-1065	166	36	structural	structural	ADJ
ap-1065	166	37	engineering	engineering	NOUN
ap-1065	166	38	,	,	PUNCT
ap-1065	166	39	vol	vol	NOUN
ap-1065	166	40	.	.	PROPN
ap-1065	166	41	113	113	NUM
ap-1065	166	42	(	(	PUNCT
ap-1065	166	43	1993	1993	NUM
ap-1065	166	44	)	)	PUNCT
ap-1065	166	45	,	,	PUNCT
ap-1065	166	46	p.	p.	NOUN
ap-1065	166	47	1572–1585	1572–1585	NUM
ap-1065	166	48	.	.	PUNCT
ap-1065	167	1	[	[	X
ap-1065	167	2	4	4	NUM
ap-1065	167	3	]	]	X
ap-1065	167	4	asik	asik	PROPN
ap-1065	167	5	,	,	PUNCT
ap-1065	167	6	m.	m.	NOUN
ap-1065	167	7	z.	z.	PROPN
ap-1065	167	8	:	:	PUNCT
ap-1065	167	9	laminated	laminate	VERB
ap-1065	167	10	glass	glass	NOUN
ap-1065	167	11	plates	plate	NOUN
ap-1065	167	12	:	:	PUNCT
ap-1065	167	13	revealing	reveal	VERB
ap-1065	167	14	of	of	ADP
ap-1065	167	15	nonlinear	nonlinear	ADJ
ap-1065	167	16	behavior	behavior	NOUN
ap-1065	167	17	,	,	PUNCT
ap-1065	167	18	computers	computer	NOUN
ap-1065	167	19	and	and	CCONJ
ap-1065	167	20	structures	structure	NOUN
ap-1065	167	21	,	,	PUNCT
ap-1065	167	22	vol	vol	NOUN
ap-1065	167	23	.	.	PROPN
ap-1065	167	24	81	81	NUM
ap-1065	167	25	(	(	PUNCT
ap-1065	167	26	2003	2003	NUM
ap-1065	167	27	)	)	PUNCT
ap-1065	167	28	,	,	PUNCT
ap-1065	167	29	p.	p.	NOUN
ap-1065	167	30	2659–2671	2659–2671	NUM
ap-1065	167	31	.	.	PUNCT
ap-1065	168	1	[	[	X
ap-1065	168	2	5	5	NUM
ap-1065	168	3	]	]	X
ap-1065	168	4	asik	asik	PROPN
ap-1065	168	5	,	,	PUNCT
ap-1065	168	6	m.	m.	NOUN
ap-1065	168	7	z.	z.	PROPN
ap-1065	168	8	,	,	PUNCT
ap-1065	168	9	tezcan	tezcan	PROPN
ap-1065	168	10	,	,	PUNCT
ap-1065	168	11	s.	s.	PROPN
ap-1065	168	12	:	:	PUNCT
ap-1065	168	13	a	a	DET
ap-1065	168	14	mathematical	mathematical	ADJ
ap-1065	168	15	model	model	NOUN
ap-1065	168	16	for	for	ADP
ap-1065	168	17	the	the	DET
ap-1065	168	18	behavior	behavior	NOUN
ap-1065	168	19	of	of	ADP
ap-1065	168	20	laminated	laminated	ADJ
ap-1065	168	21	glass	glass	NOUN
ap-1065	168	22	beams	beam	NOUN
ap-1065	168	23	,	,	PUNCT
ap-1065	168	24	computers	computer	NOUN
ap-1065	168	25	and	and	CCONJ
ap-1065	168	26	structures	structure	NOUN
ap-1065	168	27	vol	vol	NOUN
ap-1065	168	28	.	.	PUNCT
ap-1065	168	29	83	83	NUM
ap-1065	168	30	(	(	PUNCT
ap-1065	168	31	2005	2005	NUM
ap-1065	168	32	)	)	PUNCT
ap-1065	168	33	,	,	PUNCT
ap-1065	168	34	p.	p.	NOUN
ap-1065	168	35	1742–1753	1742–1753	NUM
ap-1065	168	36	.	.	PUNCT
ap-1065	169	1	[	[	X
ap-1065	169	2	6	6	NUM
ap-1065	169	3	]	]	SYM
ap-1065	169	4	duser	duser	NOUN
ap-1065	169	5	,	,	PUNCT
ap-1065	169	6	a.	a.	NOUN
ap-1065	169	7	v.	v.	PROPN
ap-1065	169	8	,	,	PUNCT
ap-1065	169	9	jagota	jagota	PROPN
ap-1065	169	10	,	,	PUNCT
ap-1065	169	11	a.	a.	PROPN
ap-1065	169	12	,	,	PUNCT
ap-1065	169	13	bennison	bennison	PROPN
ap-1065	169	14	,	,	PUNCT
ap-1065	169	15	s.	s.	PROPN
ap-1065	169	16	j.	j.	PROPN
ap-1065	169	17	:	:	PUNCT
ap-1065	169	18	analysis	analysis	NOUN
ap-1065	169	19	of	of	ADP
ap-1065	169	20	glass	glass	NOUN
ap-1065	169	21	/	/	SYM
ap-1065	169	22	polyvinyl	polyvinyl	NOUN
ap-1065	169	23	butyral	butyral	ADJ
ap-1065	169	24	laminates	laminate	NOUN
ap-1065	169	25	subjected	subject	VERB
ap-1065	169	26	to	to	ADP
ap-1065	169	27	uniform	uniform	ADJ
ap-1065	169	28	pressure	pressure	NOUN
ap-1065	169	29	,	,	PUNCT
ap-1065	169	30	journal	journal	NOUN
ap-1065	169	31	of	of	ADP
ap-1065	169	32	engineering	engineering	NOUN
ap-1065	169	33	mechanics	mechanic	NOUN
ap-1065	169	34	,	,	PUNCT
ap-1065	169	35	vol	vol	NOUN
ap-1065	169	36	.	.	PROPN
ap-1065	169	37	125	125	NUM
ap-1065	169	38	(	(	PUNCT
ap-1065	169	39	1999	1999	NUM
ap-1065	169	40	)	)	PUNCT
ap-1065	169	41	,	,	PUNCT
ap-1065	169	42	p.	p.	NOUN
ap-1065	169	43	435–442	435–442	NUM
ap-1065	169	44	.	.	PUNCT
ap-1065	170	1	[	[	X
ap-1065	170	2	7	7	NUM
ap-1065	170	3	]	]	X
ap-1065	170	4	ivanov	ivanov	PROPN
ap-1065	170	5	,	,	PUNCT
ap-1065	170	6	i.	i.	PROPN
ap-1065	170	7	v.	v.	PROPN
ap-1065	170	8	:	:	PUNCT
ap-1065	170	9	analysis	analysis	NOUN
ap-1065	170	10	,	,	PUNCT
ap-1065	170	11	modelling	modelling	NOUN
ap-1065	170	12	,	,	PUNCT
ap-1065	170	13	and	and	CCONJ
ap-1065	170	14	optimization	optimization	NOUN
ap-1065	170	15	of	of	ADP
ap-1065	170	16	laminated	laminated	ADJ
ap-1065	170	17	glasses	glass	NOUN
ap-1065	170	18	as	as	ADP
ap-1065	170	19	plane	plane	NOUN
ap-1065	170	20	beam	beam	NOUN
ap-1065	170	21	,	,	PUNCT
ap-1065	170	22	international	international	ADJ
ap-1065	170	23	journal	journal	NOUN
ap-1065	170	24	of	of	ADP
ap-1065	170	25	solids	solid	NOUN
ap-1065	170	26	and	and	CCONJ
ap-1065	170	27	structures	structure	NOUN
ap-1065	170	28	,	,	PUNCT
ap-1065	170	29	vol	vol	NOUN
ap-1065	170	30	.	.	PROPN
ap-1065	170	31	43	43	NUM
ap-1065	170	32	(	(	PUNCT
ap-1065	170	33	2006	2006	NUM
ap-1065	170	34	)	)	PUNCT
ap-1065	170	35	,	,	PUNCT
ap-1065	170	36	p.	p.	NOUN
ap-1065	170	37	6887–6907	6887–6907	NUM
ap-1065	170	38	.	.	PUNCT
ap-1065	171	1	[	[	X
ap-1065	171	2	8	8	NUM
ap-1065	171	3	]	]	X
ap-1065	171	4	mau	mau	PROPN
ap-1065	171	5	,	,	PUNCT
ap-1065	171	6	s.	s.	PROPN
ap-1065	171	7	t.	t.	PROPN
ap-1065	171	8	:	:	PUNCT
ap-1065	171	9	a	a	DET
ap-1065	171	10	refined	refined	ADJ
ap-1065	171	11	laminated	laminate	VERB
ap-1065	171	12	plate	plate	NOUN
ap-1065	171	13	theory	theory	NOUN
ap-1065	171	14	,	,	PUNCT
ap-1065	171	15	journal	journal	NOUN
ap-1065	171	16	of	of	ADP
ap-1065	171	17	applied	apply	VERB
ap-1065	171	18	mechanics	mechanic	NOUN
ap-1065	171	19	–	–	PUNCT
ap-1065	171	20	transactions	transaction	NOUN
ap-1065	171	21	of	of	ADP
ap-1065	171	22	the	the	DET
ap-1065	171	23	asme	asme	PROPN
ap-1065	171	24	,	,	PUNCT
ap-1065	171	25	vol	vol	NOUN
ap-1065	171	26	.	.	PROPN
ap-1065	171	27	40	40	NUM
ap-1065	171	28	(	(	PUNCT
ap-1065	171	29	1973	1973	NUM
ap-1065	171	30	)	)	PUNCT
ap-1065	171	31	,	,	PUNCT
ap-1065	171	32	no	no	INTJ
ap-1065	171	33	.	.	NOUN
ap-1065	171	34	2	2	NUM
ap-1065	171	35	,	,	PUNCT
ap-1065	171	36	p.	p.	NOUN
ap-1065	171	37	606–607	606–607	NUM
ap-1065	171	38	.	.	PUNCT
ap-1065	172	1	[	[	X
ap-1065	172	2	9	9	NUM
ap-1065	172	3	]	]	SYM
ap-1065	172	4	šejnoha	šejnoha	PROPN
ap-1065	172	5	,	,	PUNCT
ap-1065	172	6	m.	m.	NOUN
ap-1065	172	7	:	:	PUNCT
ap-1065	172	8	micromechanical	micromechanical	ADJ
ap-1065	172	9	modeling	modeling	NOUN
ap-1065	172	10	of	of	ADP
ap-1065	172	11	unidirectional	unidirectional	ADJ
ap-1065	172	12	fibrous	fibrous	ADJ
ap-1065	172	13	composite	composite	ADJ
ap-1065	172	14	plies	ply	NOUN
ap-1065	172	15	and	and	CCONJ
ap-1065	172	16	laminates	laminate	NOUN
ap-1065	172	17	,	,	PUNCT
ap-1065	172	18	ph.d	ph.d	PROPN
ap-1065	172	19	.	.	PUNCT
ap-1065	173	1	thesis	thesis	PROPN
ap-1065	173	2	,	,	PUNCT
ap-1065	173	3	rensselaer	rensselaer	PROPN
ap-1065	173	4	polytechnic	polytechnic	PROPN
ap-1065	173	5	institute	institute	PROPN
ap-1065	173	6	,	,	PUNCT
ap-1065	173	7	troy	troy	PROPN
ap-1065	173	8	,	,	PUNCT
ap-1065	173	9	ny	ny	PROPN
ap-1065	173	10	(	(	PUNCT
ap-1065	173	11	1996	1996	NUM
ap-1065	173	12	)	)	PUNCT
ap-1065	173	13	.	.	PUNCT
ap-1065	174	1	[	[	X
ap-1065	174	2	10	10	NUM
ap-1065	174	3	]	]	PUNCT
ap-1065	174	4	matouš	matouš	ADJ
ap-1065	174	5	,	,	PUNCT
ap-1065	174	6	k.	k.	PROPN
ap-1065	174	7	,	,	PUNCT
ap-1065	174	8	šejnoha	šejnoha	PROPN
ap-1065	174	9	,	,	PUNCT
ap-1065	174	10	m.	m.	NOUN
ap-1065	174	11	,	,	PUNCT
ap-1065	174	12	šejnoha	šejnoha	PROPN
ap-1065	174	13	,	,	PUNCT
ap-1065	174	14	j.	j.	PROPN
ap-1065	174	15	:	:	PUNCT
ap-1065	174	16	energy	energy	NOUN
ap-1065	174	17	based	base	VERB
ap-1065	174	18	optimization	optimization	NOUN
ap-1065	174	19	of	of	ADP
ap-1065	174	20	layered	layered	ADJ
ap-1065	174	21	beam	beam	NOUN
ap-1065	174	22	structures	structure	NOUN
ap-1065	174	23	,	,	PUNCT
ap-1065	174	24	acta	acta	PROPN
ap-1065	174	25	polytechnica	polytechnica	PROPN
ap-1065	174	26	,	,	PUNCT
ap-1065	174	27	vol	vol	NOUN
ap-1065	174	28	.	.	PROPN
ap-1065	175	1	38	38	NUM
ap-1065	175	2	(	(	PUNCT
ap-1065	175	3	1998	1998	NUM
ap-1065	175	4	)	)	PUNCT
ap-1065	175	5	,	,	PUNCT
ap-1065	175	6	no	no	INTJ
ap-1065	175	7	.	.	NOUN
ap-1065	175	8	2	2	NUM
ap-1065	175	9	,	,	PUNCT
ap-1065	175	10	p.	p.	NOUN
ap-1065	175	11	5–15	5–15	PROPN
ap-1065	175	12	.	.	PUNCT
ap-1065	176	1	[	[	X
ap-1065	176	2	11	11	NUM
ap-1065	176	3	]	]	X
ap-1065	176	4	bathe	bathe	NOUN
ap-1065	176	5	,	,	PUNCT
ap-1065	176	6	k.	k.	PROPN
ap-1065	176	7	j.	j.	PROPN
ap-1065	176	8	:	:	PUNCT
ap-1065	176	9	finite	finite	PROPN
ap-1065	176	10	element	element	NOUN
ap-1065	176	11	procedures	procedure	NOUN
ap-1065	176	12	,	,	PUNCT
ap-1065	176	13	2nd	2nd	PROPN
ap-1065	176	14	edition	edition	NOUN
ap-1065	176	15	,	,	PUNCT
ap-1065	176	16	prentice	prentice	NOUN
ap-1065	176	17	hall	hall	PROPN
ap-1065	176	18	,	,	PUNCT
ap-1065	176	19	1996	1996	NUM
ap-1065	176	20	.	.	PUNCT
ap-1065	177	1	[	[	X
ap-1065	177	2	12	12	NUM
ap-1065	177	3	]	]	X
ap-1065	177	4	bittnar	bittnar	PROPN
ap-1065	177	5	,	,	PUNCT
ap-1065	177	6	z.	z.	PROPN
ap-1065	177	7	,	,	PUNCT
ap-1065	177	8	šejnoha	šejnoha	PROPN
ap-1065	177	9	,	,	PUNCT
ap-1065	177	10	j.	j.	PROPN
ap-1065	177	11	:	:	PUNCT
ap-1065	177	12	numerical	numerical	ADJ
ap-1065	177	13	methods	method	NOUN
ap-1065	177	14	in	in	ADP
ap-1065	177	15	structural	structural	ADJ
ap-1065	177	16	mechanics	mechanic	NOUN
ap-1065	177	17	,	,	PUNCT
ap-1065	177	18	asce	asce	PROPN
ap-1065	177	19	press	press	PROPN
ap-1065	177	20	and	and	CCONJ
ap-1065	177	21	thomas	thomas	PROPN
ap-1065	177	22	telford	telford	PROPN
ap-1065	177	23	ltd	ltd	PROPN
ap-1065	177	24	,	,	PUNCT
ap-1065	177	25	new	new	PROPN
ap-1065	177	26	york	york	PROPN
ap-1065	177	27	and	and	CCONJ
ap-1065	177	28	london	london	PROPN
ap-1065	177	29	,	,	PUNCT
ap-1065	177	30	1996	1996	NUM
ap-1065	177	31	.	.	PUNCT
ap-1065	178	1	ing	ing	ADJ
ap-1065	178	2	.	.	PUNCT
ap-1065	179	1	alena	alena	PROPN
ap-1065	179	2	zemanová	zemanová	PROPN
ap-1065	179	3	e	e	PROPN
ap-1065	179	4	-	-	NOUN
ap-1065	179	5	mail	mail	NOUN
ap-1065	179	6	:	:	PUNCT
ap-1065	179	7	zemanova.alena@gmail.com	zemanova.alena@gmail.com	PROPN
ap-1065	179	8	doc	doc	PROPN
ap-1065	179	9	.	.	PROPN
ap-1065	180	1	ing	ing	PROPN
ap-1065	180	2	.	.	PUNCT
ap-1065	181	1	jan	jan	PROPN
ap-1065	181	2	zeman	zeman	PROPN
ap-1065	181	3	,	,	PUNCT
ap-1065	181	4	ph.d	ph.d	PROPN
ap-1065	181	5	.	.	PUNCT
ap-1065	181	6	phone	phone	NOUN
ap-1065	181	7	:	:	PUNCT
ap-1065	181	8	+420	+420	PROPN
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ap-1065	181	10	354	354	NUM
ap-1065	181	11	482	482	NUM
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ap-1065	181	13	:	:	PUNCT
ap-1065	181	14	+420	+420	PROPN
ap-1065	181	15	224	224	NUM
ap-1065	181	16	310	310	NUM
ap-1065	181	17	775	775	NUM
ap-1065	181	18	e	e	NOUN
ap-1065	181	19	-	-	NOUN
ap-1065	181	20	mail	mail	NOUN
ap-1065	181	21	:	:	PUNCT
ap-1065	181	22	zemanj@cml.fsv.cvut.cz	zemanj@cml.fsv.cvut.cz	NOUN
ap-1065	181	23	[	[	X
ap-1065	181	24	url	url	X
ap-1065	181	25	]	]	X
ap-1065	181	26	:	:	PUNCT
ap-1065	181	27	http://mech.fsv.cvut.cz/	http://mech.fsv.cvut.cz/	X
ap-1065	181	28	zemanj	zemanj	PROPN
ap-1065	181	29	mech	mech	PROPN
ap-1065	181	30	department	department	PROPN
ap-1065	181	31	of	of	ADP
ap-1065	181	32	mechanics	mechanic	NOUN
ap-1065	181	33	prof	prof	PROPN
ap-1065	181	34	.	.	PUNCT
ap-1065	182	1	ing	ing	PROPN
ap-1065	182	2	.	.	PUNCT
ap-1065	183	1	michal	michal	PROPN
ap-1065	183	2	šejnoha	šejnoha	PROPN
ap-1065	183	3	,	,	PUNCT
ap-1065	183	4	ph.d	ph.d	PROPN
ap-1065	183	5	.	.	PUNCT
ap-1065	184	1	e	e	X
ap-1065	184	2	-	-	NOUN
ap-1065	184	3	mail	mail	NOUN
ap-1065	184	4	:	:	PUNCT
ap-1065	184	5	sejnom@fsv.cvut.cz	sejnom@fsv.cvut.cz	PROPN
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ap-1065	184	9	centre	centre	NOUN
ap-1065	184	10	for	for	ADP
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ap-1065	184	12	design	design	NOUN
ap-1065	184	13	of	of	ADP
ap-1065	184	14	advances	advance	NOUN
ap-1065	184	15	structures	structure	NOUN
ap-1065	184	16	czech	czech	PROPN
ap-1065	184	17	technical	technical	PROPN
ap-1065	184	18	university	university	PROPN
ap-1065	184	19	in	in	ADP
ap-1065	184	20	prague	prague	PROPN
ap-1065	184	21	faculty	faculty	NOUN
ap-1065	184	22	of	of	ADP
ap-1065	184	23	civil	civil	ADJ
ap-1065	184	24	engineering	engineering	NOUN
ap-1065	184	25	thákurova	thákurova	VERB
ap-1065	184	26	7	7	NUM
ap-1065	184	27	166	166	NUM
ap-1065	184	28	29	29	NUM
ap-1065	184	29	prague	prague	NOUN
ap-1065	184	30	6	6	NUM
ap-1065	184	31	,	,	PUNCT
ap-1065	184	32	czech	czech	PROPN
ap-1065	184	33	republic	republic	NOUN
ap-1065	184	34	26	26	NUM
ap-1065	184	35	©	©	PROPN
ap-1065	184	36	czech	czech	PROPN
ap-1065	184	37	technical	technical	PROPN
ap-1065	184	38	university	university	PROPN
ap-1065	184	39	publishing	publishing	NOUN
ap-1065	184	40	house	house	NOUN
ap-1065	184	41	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1065	184	42	acta	acta	PROPN
ap-1065	184	43	polytechnica	polytechnica	PROPN
ap-1065	184	44	vol	vol	NOUN
ap-1065	184	45	.	.	PUNCT
ap-1065	185	1	48	48	NUM
ap-1065	185	2	no	no	NOUN
ap-1065	185	3	.	.	PUNCT
ap-1065	186	1	6/2008	6/2008	NUM