id	sid	tid	token	lemma	pos
app01-7194	1	1	doi:10.14311	doi:10.14311	NOUN
app01-7194	1	2	/	/	SYM
app01-7194	1	3	app.2021.30.0012	app.2021.30.0012	PROPN
app01-7194	1	4	acta	acta	PROPN
app01-7194	1	5	polytechnica	polytechnica	PROPN
app01-7194	1	6	ctu	ctu	NOUN
app01-7194	1	7	proceedings	proceeding	NOUN
app01-7194	1	8	30:12–17	30:12–17	NUM
app01-7194	1	9	,	,	PUNCT
app01-7194	1	10	2021	2021	NUM
app01-7194	1	11	©	©	PROPN
app01-7194	1	12	czech	czech	PROPN
app01-7194	1	13	technical	technical	PROPN
app01-7194	1	14	university	university	PROPN
app01-7194	1	15	in	in	ADP
app01-7194	1	16	prague	prague	PROPN
app01-7194	1	17	,	,	PUNCT
app01-7194	1	18	2021	2021	NUM
app01-7194	1	19	available	available	ADJ
app01-7194	1	20	online	online	ADV
app01-7194	1	21	at	at	ADP
app01-7194	1	22	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-7194	1	23	on	on	ADP
app01-7194	1	24	comparison	comparison	NOUN
app01-7194	1	25	of	of	ADP
app01-7194	1	26	3d	3d	PROPN
app01-7194	1	27	isogeometric	isogeometric	PROPN
app01-7194	1	28	timoshenko	timoshenko	NOUN
app01-7194	1	29	and	and	CCONJ
app01-7194	1	30	bernoulli	bernoulli	PROPN
app01-7194	1	31	beam	beam	PROPN
app01-7194	1	32	formulations	formulation	NOUN
app01-7194	1	33	edita	edita	PROPN
app01-7194	1	34	dvořáková∗	dvořáková∗	PROPN
app01-7194	1	35	,	,	PUNCT
app01-7194	1	36	bořek	bořek	NOUN
app01-7194	1	37	patzák	patzák	VERB
app01-7194	1	38	czech	czech	PROPN
app01-7194	1	39	technical	technical	PROPN
app01-7194	1	40	university	university	PROPN
app01-7194	1	41	in	in	ADP
app01-7194	1	42	prague	prague	PROPN
app01-7194	1	43	,	,	PUNCT
app01-7194	1	44	faculty	faculty	NOUN
app01-7194	1	45	of	of	ADP
app01-7194	1	46	civil	civil	ADJ
app01-7194	1	47	engineering	engineering	NOUN
app01-7194	1	48	,	,	PUNCT
app01-7194	1	49	department	department	NOUN
app01-7194	1	50	of	of	ADP
app01-7194	1	51	mechanics	mechanic	NOUN
app01-7194	1	52	,	,	PUNCT
app01-7194	1	53	thákurova	thákurova	X
app01-7194	1	54	7	7	NUM
app01-7194	1	55	,	,	PUNCT
app01-7194	1	56	166	166	NUM
app01-7194	1	57	29	29	NUM
app01-7194	1	58	prague	prague	NOUN
app01-7194	1	59	6	6	NUM
app01-7194	1	60	,	,	PUNCT
app01-7194	1	61	czech	czech	PROPN
app01-7194	1	62	republic	republic	NOUN
app01-7194	1	63	∗	∗	NOUN
app01-7194	1	64	corresponding	correspond	VERB
app01-7194	1	65	author	author	NOUN
app01-7194	1	66	:	:	PUNCT
app01-7194	1	67	edita.dvorakova@fsv.cvut.cz	edita.dvorakova@fsv.cvut.cz	PROPN
app01-7194	1	68	abstract	abstract	NOUN
app01-7194	1	69	.	.	PUNCT
app01-7194	2	1	application	application	NOUN
app01-7194	2	2	of	of	ADP
app01-7194	2	3	isogeometric	isogeometric	ADJ
app01-7194	2	4	analysis	analysis	NOUN
app01-7194	2	5	(	(	PUNCT
app01-7194	2	6	iga	iga	PROPN
app01-7194	2	7	)	)	PUNCT
app01-7194	2	8	for	for	ADP
app01-7194	2	9	curved	curved	ADJ
app01-7194	2	10	beams	beam	NOUN
app01-7194	2	11	is	be	AUX
app01-7194	2	12	very	very	ADV
app01-7194	2	13	convenient	convenient	ADJ
app01-7194	2	14	for	for	ADP
app01-7194	2	15	its	its	PRON
app01-7194	2	16	ability	ability	NOUN
app01-7194	2	17	of	of	ADP
app01-7194	2	18	exact	exact	ADJ
app01-7194	2	19	representation	representation	NOUN
app01-7194	2	20	of	of	ADP
app01-7194	2	21	curved	curved	ADJ
app01-7194	2	22	geometries	geometry	NOUN
app01-7194	2	23	.	.	PUNCT
app01-7194	3	1	several	several	ADJ
app01-7194	3	2	beam	beam	NOUN
app01-7194	3	3	formulation	formulation	NOUN
app01-7194	3	4	has	have	AUX
app01-7194	3	5	been	be	AUX
app01-7194	3	6	presented	present	VERB
app01-7194	3	7	since	since	SCONJ
app01-7194	3	8	the	the	DET
app01-7194	3	9	introduction	introduction	NOUN
app01-7194	3	10	of	of	ADP
app01-7194	3	11	iga	iga	PROPN
app01-7194	3	12	.	.	PUNCT
app01-7194	4	1	in	in	ADP
app01-7194	4	2	this	this	DET
app01-7194	4	3	paper	paper	NOUN
app01-7194	4	4	,	,	PUNCT
app01-7194	4	5	two	two	NUM
app01-7194	4	6	different	different	ADJ
app01-7194	4	7	beam	beam	NOUN
app01-7194	4	8	formulations	formulation	NOUN
app01-7194	4	9	are	be	AUX
app01-7194	4	10	presented	present	VERB
app01-7194	4	11	:	:	PUNCT
app01-7194	4	12	bernoulli	bernoulli	PROPN
app01-7194	4	13	beam	beam	PROPN
app01-7194	4	14	formulation	formulation	NOUN
app01-7194	4	15	of	of	ADP
app01-7194	4	16	a.	a.	PROPN
app01-7194	4	17	m.	m.	PROPN
app01-7194	4	18	bauer	bauer	PROPN
app01-7194	4	19	et	et	PROPN
app01-7194	4	20	al	al	PROPN
app01-7194	4	21	.	.	PUNCT
app01-7194	5	1	[	[	X
app01-7194	5	2	1	1	NUM
app01-7194	5	3	]	]	PUNCT
app01-7194	5	4	,	,	PUNCT
app01-7194	5	5	and	and	CCONJ
app01-7194	5	6	timoshenko	timoshenko	NOUN
app01-7194	5	7	beam	beam	NOUN
app01-7194	5	8	element	element	NOUN
app01-7194	5	9	introduced	introduce	VERB
app01-7194	5	10	by	by	ADP
app01-7194	5	11	g.	g.	PROPN
app01-7194	5	12	zhang	zhang	PROPN
app01-7194	5	13	et	et	PROPN
app01-7194	5	14	al	al	PROPN
app01-7194	5	15	.	.	PUNCT
app01-7194	6	1	[	[	X
app01-7194	6	2	2	2	NUM
app01-7194	6	3	]	]	PUNCT
app01-7194	6	4	.	.	PUNCT
app01-7194	7	1	both	both	DET
app01-7194	7	2	beam	beam	NOUN
app01-7194	7	3	elements	element	NOUN
app01-7194	7	4	are	be	AUX
app01-7194	7	5	implemented	implement	VERB
app01-7194	7	6	and	and	CCONJ
app01-7194	7	7	their	their	PRON
app01-7194	7	8	performance	performance	NOUN
app01-7194	7	9	is	be	AUX
app01-7194	7	10	documented	document	VERB
app01-7194	7	11	on	on	ADP
app01-7194	7	12	the	the	DET
app01-7194	7	13	fully	fully	ADV
app01-7194	7	14	threedimensional	threedimensional	ADJ
app01-7194	7	15	example	example	NOUN
app01-7194	7	16	of	of	ADP
app01-7194	7	17	helicoidal	helicoidal	ADJ
app01-7194	7	18	spring	spring	NOUN
app01-7194	7	19	.	.	PUNCT
app01-7194	8	1	keywords	keyword	NOUN
app01-7194	8	2	:	:	PUNCT
app01-7194	8	3	bernoulli	bernoulli	PROPN
app01-7194	8	4	theory	theory	NOUN
app01-7194	8	5	,	,	PUNCT
app01-7194	8	6	curved	curved	ADJ
app01-7194	8	7	beam	beam	NOUN
app01-7194	8	8	element	element	NOUN
app01-7194	8	9	,	,	PUNCT
app01-7194	8	10	isogeometric	isogeometric	ADJ
app01-7194	8	11	analysis	analysis	NOUN
app01-7194	8	12	,	,	PUNCT
app01-7194	8	13	nurbs	nurb	NOUN
app01-7194	8	14	,	,	PUNCT
app01-7194	8	15	timoshenko	timoshenko	NOUN
app01-7194	8	16	theory	theory	NOUN
app01-7194	8	17	.	.	PUNCT
app01-7194	9	1	1	1	X
app01-7194	9	2	.	.	X
app01-7194	9	3	introduction	introduction	NOUN
app01-7194	9	4	isogeometric	isogeometric	ADJ
app01-7194	9	5	analysis	analysis	NOUN
app01-7194	9	6	is	be	AUX
app01-7194	9	7	an	an	DET
app01-7194	9	8	alternative	alternative	NOUN
app01-7194	9	9	of	of	ADP
app01-7194	9	10	standard	standard	ADJ
app01-7194	9	11	finite	finite	ADJ
app01-7194	9	12	element	element	NOUN
app01-7194	9	13	analysis	analysis	NOUN
app01-7194	9	14	introduced	introduce	VERB
app01-7194	9	15	in	in	ADP
app01-7194	9	16	2005	2005	NUM
app01-7194	9	17	by	by	ADP
app01-7194	9	18	t.	t.	PROPN
app01-7194	9	19	hughes	hughes	PROPN
app01-7194	10	1	[	[	X
app01-7194	10	2	3	3	NUM
app01-7194	10	3	]	]	PUNCT
app01-7194	10	4	.	.	PUNCT
app01-7194	11	1	the	the	DET
app01-7194	11	2	crucial	crucial	ADJ
app01-7194	11	3	impulse	impulse	NOUN
app01-7194	11	4	for	for	ADP
app01-7194	11	5	its	its	PRON
app01-7194	11	6	development	development	NOUN
app01-7194	11	7	was	be	AUX
app01-7194	11	8	given	give	VERB
app01-7194	11	9	by	by	ADP
app01-7194	11	10	the	the	DET
app01-7194	11	11	desire	desire	NOUN
app01-7194	11	12	for	for	ADP
app01-7194	11	13	the	the	DET
app01-7194	11	14	automatic	automatic	ADJ
app01-7194	11	15	connection	connection	NOUN
app01-7194	11	16	between	between	ADP
app01-7194	11	17	computer	computer	NOUN
app01-7194	11	18	-	-	PUNCT
app01-7194	11	19	aided	aid	VERB
app01-7194	11	20	design	design	NOUN
app01-7194	11	21	(	(	PUNCT
app01-7194	11	22	cad	cad	NOUN
app01-7194	11	23	)	)	PUNCT
app01-7194	11	24	and	and	CCONJ
app01-7194	11	25	finite	finite	ADJ
app01-7194	11	26	element	element	NOUN
app01-7194	11	27	analysis	analysis	NOUN
app01-7194	11	28	.	.	PUNCT
app01-7194	12	1	this	this	DET
app01-7194	12	2	goal	goal	NOUN
app01-7194	12	3	has	have	AUX
app01-7194	12	4	been	be	AUX
app01-7194	12	5	achieved	achieve	VERB
app01-7194	12	6	by	by	ADP
app01-7194	12	7	the	the	DET
app01-7194	12	8	application	application	NOUN
app01-7194	12	9	of	of	ADP
app01-7194	12	10	the	the	DET
app01-7194	12	11	same	same	ADJ
app01-7194	12	12	nurbs	nurb	NOUN
app01-7194	12	13	-	-	PUNCT
app01-7194	12	14	based	base	VERB
app01-7194	12	15	geometry	geometry	NOUN
app01-7194	12	16	description	description	NOUN
app01-7194	12	17	in	in	ADP
app01-7194	12	18	cad	cad	PROPN
app01-7194	12	19	also	also	ADV
app01-7194	12	20	for	for	ADP
app01-7194	12	21	the	the	DET
app01-7194	12	22	unknown	unknown	ADJ
app01-7194	12	23	approximation	approximation	NOUN
app01-7194	12	24	in	in	ADP
app01-7194	12	25	the	the	DET
app01-7194	12	26	analysis	analysis	NOUN
app01-7194	12	27	.	.	PUNCT
app01-7194	13	1	the	the	DET
app01-7194	13	2	use	use	NOUN
app01-7194	13	3	of	of	ADP
app01-7194	13	4	cad	cad	NOUN
app01-7194	13	5	basis	basis	NOUN
app01-7194	13	6	functions	function	NOUN
app01-7194	13	7	enables	enable	VERB
app01-7194	13	8	the	the	DET
app01-7194	13	9	exact	exact	ADJ
app01-7194	13	10	description	description	NOUN
app01-7194	13	11	of	of	ADP
app01-7194	13	12	arbitrarily	arbitrarily	ADV
app01-7194	13	13	curved	curved	ADJ
app01-7194	13	14	geometries	geometry	NOUN
app01-7194	13	15	including	include	VERB
app01-7194	13	16	curved	curved	ADJ
app01-7194	13	17	beams	beam	NOUN
app01-7194	13	18	.	.	PUNCT
app01-7194	14	1	the	the	DET
app01-7194	14	2	focus	focus	NOUN
app01-7194	14	3	of	of	ADP
app01-7194	14	4	this	this	DET
app01-7194	14	5	paper	paper	NOUN
app01-7194	14	6	is	be	AUX
app01-7194	14	7	placed	place	VERB
app01-7194	14	8	on	on	ADP
app01-7194	14	9	the	the	DET
app01-7194	14	10	isogeometric	isogeometric	ADJ
app01-7194	14	11	analysis	analysis	NOUN
app01-7194	14	12	of	of	ADP
app01-7194	14	13	spatial	spatial	ADJ
app01-7194	14	14	curved	curved	ADJ
app01-7194	14	15	beams	beam	NOUN
app01-7194	14	16	.	.	PUNCT
app01-7194	15	1	two	two	NUM
app01-7194	15	2	different	different	ADJ
app01-7194	15	3	beam	beam	NOUN
app01-7194	15	4	formulations	formulation	NOUN
app01-7194	15	5	are	be	AUX
app01-7194	15	6	presented	present	VERB
app01-7194	15	7	and	and	CCONJ
app01-7194	15	8	their	their	PRON
app01-7194	15	9	performance	performance	NOUN
app01-7194	15	10	is	be	AUX
app01-7194	15	11	compared	compare	VERB
app01-7194	15	12	on	on	ADP
app01-7194	15	13	a	a	DET
app01-7194	15	14	benchmark	benchmark	NOUN
app01-7194	15	15	problem	problem	NOUN
app01-7194	15	16	.	.	PUNCT
app01-7194	16	1	the	the	DET
app01-7194	16	2	first	first	ADJ
app01-7194	16	3	beam	beam	NOUN
app01-7194	16	4	formulation	formulation	NOUN
app01-7194	16	5	is	be	AUX
app01-7194	16	6	based	base	VERB
app01-7194	16	7	on	on	ADP
app01-7194	16	8	bernoulli	bernoulli	PROPN
app01-7194	16	9	beam	beam	PROPN
app01-7194	16	10	theory	theory	NOUN
app01-7194	16	11	,	,	PUNCT
app01-7194	16	12	while	while	SCONJ
app01-7194	16	13	the	the	DET
app01-7194	16	14	timoshenko	timoshenko	ADJ
app01-7194	16	15	kinematics	kinematic	NOUN
app01-7194	16	16	is	be	AUX
app01-7194	16	17	assumed	assume	VERB
app01-7194	16	18	in	in	ADP
app01-7194	16	19	the	the	DET
app01-7194	16	20	second	second	ADJ
app01-7194	16	21	beam	beam	NOUN
app01-7194	16	22	element	element	NOUN
app01-7194	16	23	presented	present	VERB
app01-7194	16	24	.	.	PUNCT
app01-7194	17	1	2	2	X
app01-7194	17	2	.	.	X
app01-7194	17	3	nurbs	nurb	NOUN
app01-7194	17	4	-	-	PUNCT
app01-7194	17	5	based	base	VERB
app01-7194	17	6	analysis	analysis	NOUN
app01-7194	17	7	non	non	ADJ
app01-7194	17	8	-	-	ADJ
app01-7194	17	9	uniform	uniform	ADJ
app01-7194	17	10	rational	rational	ADJ
app01-7194	17	11	b	b	NOUN
app01-7194	17	12	-	-	PUNCT
app01-7194	17	13	splines	spline	NOUN
app01-7194	17	14	(	(	PUNCT
app01-7194	17	15	nurbs	nurb	NOUN
app01-7194	17	16	)	)	PUNCT
app01-7194	18	1	[	[	X
app01-7194	18	2	4	4	X
app01-7194	18	3	]	]	PUNCT
app01-7194	18	4	are	be	AUX
app01-7194	18	5	the	the	DET
app01-7194	18	6	most	most	ADV
app01-7194	18	7	widespread	widespread	ADJ
app01-7194	18	8	technology	technology	NOUN
app01-7194	18	9	used	use	VERB
app01-7194	18	10	in	in	ADP
app01-7194	18	11	cad	cad	PROPN
app01-7194	18	12	industry	industry	NOUN
app01-7194	18	13	.	.	PUNCT
app01-7194	19	1	their	their	PRON
app01-7194	19	2	fitness	fitness	NOUN
app01-7194	19	3	for	for	ADP
app01-7194	19	4	cad	cad	PROPN
app01-7194	19	5	is	be	AUX
app01-7194	19	6	rooted	root	VERB
app01-7194	19	7	in	in	ADP
app01-7194	19	8	the	the	DET
app01-7194	19	9	ability	ability	NOUN
app01-7194	19	10	of	of	ADP
app01-7194	19	11	the	the	DET
app01-7194	19	12	exact	exact	ADJ
app01-7194	19	13	description	description	NOUN
app01-7194	19	14	of	of	ADP
app01-7194	19	15	a	a	DET
app01-7194	19	16	vast	vast	ADJ
app01-7194	19	17	range	range	NOUN
app01-7194	19	18	of	of	ADP
app01-7194	19	19	geometries	geometry	NOUN
app01-7194	19	20	,	,	PUNCT
app01-7194	19	21	including	include	VERB
app01-7194	19	22	the	the	DET
app01-7194	19	23	conic	conic	ADJ
app01-7194	19	24	sections	section	NOUN
app01-7194	19	25	widely	widely	ADV
app01-7194	19	26	used	use	VERB
app01-7194	19	27	in	in	ADP
app01-7194	19	28	architectural	architectural	ADJ
app01-7194	19	29	design	design	NOUN
app01-7194	19	30	.	.	PUNCT
app01-7194	20	1	there	there	PRON
app01-7194	20	2	are	be	VERB
app01-7194	20	3	many	many	ADJ
app01-7194	20	4	effective	effective	ADJ
app01-7194	20	5	algorithms	algorithm	NOUN
app01-7194	20	6	developed	develop	VERB
app01-7194	20	7	for	for	ADP
app01-7194	20	8	handling	handle	VERB
app01-7194	20	9	nurbs	nurbs	NOUN
app01-7194	20	10	objects	object	NOUN
app01-7194	20	11	which	which	PRON
app01-7194	20	12	can	can	AUX
app01-7194	20	13	be	be	AUX
app01-7194	20	14	also	also	ADV
app01-7194	20	15	very	very	ADV
app01-7194	20	16	useful	useful	ADJ
app01-7194	20	17	for	for	ADP
app01-7194	20	18	isogeometric	isogeometric	ADJ
app01-7194	20	19	analysis	analysis	NOUN
app01-7194	20	20	.	.	PUNCT
app01-7194	21	1	the	the	DET
app01-7194	21	2	computational	computational	ADJ
app01-7194	21	3	domain	domain	NOUN
app01-7194	21	4	in	in	ADP
app01-7194	21	5	isogeometric	isogeometric	ADJ
app01-7194	21	6	analysis	analysis	NOUN
app01-7194	21	7	(	(	PUNCT
app01-7194	21	8	iga	iga	PROPN
app01-7194	21	9	)	)	PUNCT
app01-7194	21	10	is	be	AUX
app01-7194	21	11	firstly	firstly	ADV
app01-7194	21	12	divided	divide	VERB
app01-7194	21	13	into	into	ADP
app01-7194	21	14	patches	patch	NOUN
app01-7194	21	15	,	,	PUNCT
app01-7194	21	16	which	which	PRON
app01-7194	21	17	are	be	AUX
app01-7194	21	18	further	far	ADV
app01-7194	21	19	divided	divide	VERB
app01-7194	21	20	into	into	ADP
app01-7194	21	21	knotspans	knotspan	NOUN
app01-7194	21	22	(	(	PUNCT
app01-7194	21	23	often	often	ADV
app01-7194	21	24	referred	refer	VERB
app01-7194	21	25	to	to	ADP
app01-7194	21	26	as	as	ADP
app01-7194	21	27	elements	element	NOUN
app01-7194	21	28	in	in	ADP
app01-7194	21	29	iga	iga	PROPN
app01-7194	21	30	)	)	PUNCT
app01-7194	21	31	,	,	PUNCT
app01-7194	21	32	see	see	VERB
app01-7194	21	33	fig	fig	NOUN
app01-7194	21	34	.	.	PUNCT
app01-7194	22	1	1	1	X
app01-7194	22	2	.	.	X
app01-7194	22	3	the	the	DET
app01-7194	22	4	nurbs	nurbs	NOUN
app01-7194	22	5	curve	curve	NOUN
app01-7194	22	6	is	be	AUX
app01-7194	22	7	obtained	obtain	VERB
app01-7194	22	8	by	by	ADP
app01-7194	22	9	linear	linear	ADJ
app01-7194	22	10	combination	combination	NOUN
app01-7194	22	11	of	of	ADP
app01-7194	22	12	cartesian	cartesian	ADJ
app01-7194	22	13	coordinates	coordinate	NOUN
app01-7194	22	14	of	of	ADP
app01-7194	22	15	the	the	DET
app01-7194	22	16	control	control	NOUN
app01-7194	22	17	points	point	VERB
app01-7194	22	18	p	p	NOUN
app01-7194	22	19	and	and	CCONJ
app01-7194	22	20	nurbs	nurbs	NOUN
app01-7194	22	21	functions	function	NOUN
app01-7194	22	22	rp	rp	NOUN
app01-7194	22	23	i	i	NOUN
app01-7194	22	24	c(ξ	c(ξ	NOUN
app01-7194	22	25	)	)	PUNCT
app01-7194	22	26	=	=	SYM
app01-7194	23	1	n	n	X
app01-7194	23	2	!	!	PUNCT
app01-7194	24	1	i=1	i=1	PROPN
app01-7194	25	1	rp	rp	NOUN
app01-7194	26	1	i	i	PRON
app01-7194	26	2	(	(	PUNCT
app01-7194	26	3	ξ)pi	ξ)pi	PROPN
app01-7194	26	4	.	.	PUNCT
app01-7194	27	1	(	(	PUNCT
app01-7194	27	2	1	1	X
app01-7194	27	3	)	)	PUNCT
app01-7194	27	4	nurbs	nurb	NOUN
app01-7194	27	5	functions	function	NOUN
app01-7194	27	6	are	be	AUX
app01-7194	27	7	rational	rational	ADJ
app01-7194	27	8	polynomials	polynomial	NOUN
app01-7194	27	9	which	which	PRON
app01-7194	27	10	are	be	AUX
app01-7194	27	11	generated	generate	VERB
app01-7194	27	12	by	by	ADP
app01-7194	27	13	weighting	weight	VERB
app01-7194	27	14	b	b	NUM
app01-7194	27	15	-	-	PUNCT
app01-7194	27	16	spline	spline	NOUN
app01-7194	27	17	functions	function	NOUN
app01-7194	27	18	with	with	ADP
app01-7194	27	19	a	a	DET
app01-7194	27	20	weights	weight	NOUN
app01-7194	27	21	associated	associate	VERB
app01-7194	27	22	with	with	ADP
app01-7194	27	23	a	a	DET
app01-7194	27	24	control	control	NOUN
app01-7194	27	25	points	point	NOUN
app01-7194	27	26	.	.	PUNCT
app01-7194	28	1	b	b	X
app01-7194	28	2	-	-	PUNCT
app01-7194	28	3	spline	spline	NOUN
app01-7194	28	4	functions	function	NOUN
app01-7194	28	5	are	be	AUX
app01-7194	28	6	piecewise	piecewise	NOUN
app01-7194	28	7	polynomials	polynomial	NOUN
app01-7194	28	8	and	and	CCONJ
app01-7194	28	9	can	can	AUX
app01-7194	28	10	be	be	AUX
app01-7194	28	11	derived	derive	VERB
app01-7194	28	12	recursively	recursively	ADV
app01-7194	28	13	starting	start	VERB
app01-7194	28	14	with	with	ADP
app01-7194	28	15	a	a	DET
app01-7194	28	16	piecewise	piecewise	NOUN
app01-7194	28	17	constant	constant	ADJ
app01-7194	28	18	functions	function	NOUN
app01-7194	28	19	,	,	PUNCT
app01-7194	28	20	see	see	VERB
app01-7194	28	21	[	[	X
app01-7194	28	22	4	4	X
app01-7194	28	23	]	]	PUNCT
app01-7194	28	24	for	for	ADP
app01-7194	28	25	the	the	DET
app01-7194	28	26	detailed	detailed	ADJ
app01-7194	28	27	description	description	NOUN
app01-7194	28	28	.	.	PUNCT
app01-7194	29	1	the	the	DET
app01-7194	29	2	use	use	NOUN
app01-7194	29	3	of	of	ADP
app01-7194	29	4	nurbs	nurbs	NOUN
app01-7194	29	5	basis	basis	NOUN
app01-7194	29	6	introduces	introduce	VERB
app01-7194	29	7	some	some	DET
app01-7194	29	8	special	special	ADJ
app01-7194	29	9	aspects	aspect	NOUN
app01-7194	29	10	to	to	ADP
app01-7194	29	11	the	the	DET
app01-7194	29	12	analysis	analysis	NOUN
app01-7194	29	13	.	.	PUNCT
app01-7194	30	1	the	the	DET
app01-7194	30	2	nurbs	nurbs	PROPN
app01-7194	30	3	basis	basis	NOUN
app01-7194	30	4	functions	function	NOUN
app01-7194	30	5	are	be	AUX
app01-7194	30	6	generally	generally	ADV
app01-7194	30	7	non	non	ADJ
app01-7194	30	8	-	-	ADJ
app01-7194	30	9	iterpolatory	iterpolatory	ADJ
app01-7194	30	10	,	,	PUNCT
app01-7194	30	11	thus	thus	ADV
app01-7194	30	12	the	the	DET
app01-7194	30	13	degrees	degree	NOUN
app01-7194	30	14	of	of	ADP
app01-7194	30	15	freedom	freedom	NOUN
app01-7194	30	16	in	in	ADP
app01-7194	30	17	the	the	DET
app01-7194	30	18	control	control	NOUN
app01-7194	30	19	points	point	NOUN
app01-7194	30	20	lack	lack	VERB
app01-7194	30	21	the	the	DET
app01-7194	30	22	direct	direct	ADJ
app01-7194	30	23	physical	physical	ADJ
app01-7194	30	24	meaning	meaning	NOUN
app01-7194	30	25	.	.	PUNCT
app01-7194	31	1	additionally	additionally	ADV
app01-7194	31	2	,	,	PUNCT
app01-7194	31	3	the	the	DET
app01-7194	31	4	higher	high	ADJ
app01-7194	31	5	continuity	continuity	NOUN
app01-7194	31	6	between	between	ADP
app01-7194	31	7	knotspans	knotspan	NOUN
app01-7194	31	8	can	can	AUX
app01-7194	31	9	be	be	AUX
app01-7194	31	10	achieved	achieve	VERB
app01-7194	31	11	naturally	naturally	ADV
app01-7194	31	12	using	use	VERB
app01-7194	31	13	nurbs	nurb	NOUN
app01-7194	31	14	,	,	PUNCT
app01-7194	31	15	unlike	unlike	ADP
app01-7194	31	16	c0	c0	NOUN
app01-7194	31	17	in	in	ADP
app01-7194	31	18	standard	standard	ADJ
app01-7194	31	19	fem	fem	PROPN
app01-7194	31	20	.	.	PUNCT
app01-7194	32	1	one	one	NUM
app01-7194	32	2	of	of	ADP
app01-7194	32	3	the	the	DET
app01-7194	32	4	main	main	ADJ
app01-7194	32	5	features	feature	NOUN
app01-7194	32	6	of	of	ADP
app01-7194	32	7	iga	iga	PROPN
app01-7194	32	8	is	be	AUX
app01-7194	32	9	the	the	DET
app01-7194	32	10	fact	fact	NOUN
app01-7194	32	11	,	,	PUNCT
app01-7194	32	12	that	that	SCONJ
app01-7194	32	13	the	the	DET
app01-7194	32	14	basis	basis	NOUN
app01-7194	32	15	can	can	AUX
app01-7194	32	16	be	be	AUX
app01-7194	32	17	enriched	enrich	VERB
app01-7194	32	18	without	without	ADP
app01-7194	32	19	altering	alter	VERB
app01-7194	32	20	geometry	geometry	NOUN
app01-7194	32	21	representation	representation	NOUN
app01-7194	32	22	using	use	VERB
app01-7194	32	23	knot	knot	NOUN
app01-7194	32	24	insertion	insertion	NOUN
app01-7194	32	25	and	and	CCONJ
app01-7194	32	26	degree	degree	NOUN
app01-7194	32	27	elevation	elevation	NOUN
app01-7194	32	28	algorithms	algorithm	NOUN
app01-7194	32	29	.	.	PUNCT
app01-7194	33	1	3	3	X
app01-7194	33	2	.	.	X
app01-7194	33	3	bernoulli	bernoulli	PROPN
app01-7194	33	4	beam	beam	PROPN
app01-7194	33	5	element	element	PROPN
app01-7194	33	6	formulation	formulation	NOUN
app01-7194	33	7	the	the	DET
app01-7194	33	8	first	first	ADJ
app01-7194	33	9	presented	present	VERB
app01-7194	33	10	beam	beam	NOUN
app01-7194	33	11	formulation	formulation	NOUN
app01-7194	33	12	is	be	AUX
app01-7194	33	13	adopted	adopt	VERB
app01-7194	33	14	from	from	ADP
app01-7194	33	15	the	the	DET
app01-7194	33	16	work	work	NOUN
app01-7194	33	17	of	of	ADP
app01-7194	33	18	a.	a.	PROPN
app01-7194	33	19	m.	m.	PROPN
app01-7194	33	20	bauer	bauer	PROPN
app01-7194	33	21	et	et	PROPN
app01-7194	33	22	al	al	PROPN
app01-7194	33	23	.	.	PUNCT
app01-7194	34	1	[	[	X
app01-7194	34	2	1	1	NUM
app01-7194	34	3	]	]	PUNCT
app01-7194	34	4	.	.	PUNCT
app01-7194	35	1	the	the	DET
app01-7194	35	2	element	element	NOUN
app01-7194	35	3	is	be	AUX
app01-7194	35	4	based	base	VERB
app01-7194	35	5	on	on	ADP
app01-7194	35	6	bernoulli	bernoulli	PROPN
app01-7194	35	7	beam	beam	PROPN
app01-7194	35	8	theory	theory	NOUN
app01-7194	35	9	,	,	PUNCT
app01-7194	35	10	thus	thus	ADV
app01-7194	35	11	the	the	DET
app01-7194	35	12	orthogonality	orthogonality	NOUN
app01-7194	35	13	of	of	ADP
app01-7194	35	14	the	the	DET
app01-7194	35	15	cross	cross	NOUN
app01-7194	35	16	-	-	NOUN
app01-7194	35	17	section	section	NOUN
app01-7194	35	18	to	to	ADP
app01-7194	35	19	the	the	DET
app01-7194	35	20	center	center	NOUN
app01-7194	35	21	line	line	NOUN
app01-7194	35	22	after	after	ADP
app01-7194	35	23	deformation	deformation	NOUN
app01-7194	35	24	is	be	AUX
app01-7194	35	25	assumed	assume	VERB
app01-7194	35	26	to	to	PART
app01-7194	35	27	be	be	AUX
app01-7194	35	28	preserved	preserve	VERB
app01-7194	35	29	and	and	CCONJ
app01-7194	35	30	the	the	DET
app01-7194	35	31	crosssectional	crosssectional	ADJ
app01-7194	35	32	dimensions	dimension	NOUN
app01-7194	35	33	remain	remain	VERB
app01-7194	35	34	unchanged	unchanged	ADJ
app01-7194	35	35	.	.	PUNCT
app01-7194	36	1	the	the	DET
app01-7194	36	2	formulation	formulation	NOUN
app01-7194	36	3	accounts	account	VERB
app01-7194	36	4	for	for	ADP
app01-7194	36	5	the	the	DET
app01-7194	36	6	geometrically	geometrically	ADV
app01-7194	36	7	nonlinear	nonlinear	ADJ
app01-7194	36	8	behavior	behavior	NOUN
app01-7194	36	9	,	,	PUNCT
app01-7194	36	10	nevertheless	nevertheless	ADV
app01-7194	36	11	only	only	ADV
app01-7194	36	12	the	the	DET
app01-7194	36	13	linear	linear	ADJ
app01-7194	36	14	behavior	behavior	NOUN
app01-7194	36	15	is	be	AUX
app01-7194	36	16	studied	study	VERB
app01-7194	36	17	in	in	ADP
app01-7194	36	18	the	the	DET
app01-7194	36	19	presented	present	VERB
app01-7194	36	20	examples	example	NOUN
app01-7194	36	21	.	.	PUNCT
app01-7194	37	1	the	the	DET
app01-7194	37	2	element	element	NOUN
app01-7194	37	3	has	have	VERB
app01-7194	37	4	four	four	NUM
app01-7194	37	5	degrees	degree	NOUN
app01-7194	37	6	of	of	ADP
app01-7194	37	7	freedom	freedom	NOUN
app01-7194	37	8	in	in	ADP
app01-7194	37	9	each	each	DET
app01-7194	37	10	control	control	NOUN
app01-7194	37	11	point	point	NOUN
app01-7194	37	12	:	:	PUNCT
app01-7194	37	13	three	three	NUM
app01-7194	37	14	global	global	ADJ
app01-7194	37	15	displacements	displacement	NOUN
app01-7194	37	16	u	u	PROPN
app01-7194	37	17	,	,	PUNCT
app01-7194	37	18	v	v	NOUN
app01-7194	37	19	,	,	PUNCT
app01-7194	37	20	and	and	CCONJ
app01-7194	37	21	w	w	NOUN
app01-7194	37	22	and	and	CCONJ
app01-7194	37	23	an	an	DET
app01-7194	37	24	additional	additional	ADJ
app01-7194	37	25	degree	degree	NOUN
app01-7194	37	26	of	of	ADP
app01-7194	37	27	freedom	freedom	NOUN
app01-7194	37	28	corresponding	correspond	VERB
app01-7194	37	29	to	to	ADP
app01-7194	37	30	the	the	DET
app01-7194	37	31	rotation	rotation	NOUN
app01-7194	37	32	around	around	ADP
app01-7194	37	33	the	the	DET
app01-7194	37	34	centerline	centerline	NOUN
app01-7194	37	35	ψ	ψ	NOUN
app01-7194	37	36	.	.	PROPN
app01-7194	37	37	12	12	NUM
app01-7194	37	38	http://dx.doi.org/10.14311/app.2021.30.0012	http://dx.doi.org/10.14311/app.2021.30.0012	PROPN
app01-7194	37	39	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-7194	37	40	vol	vol	NOUN
app01-7194	37	41	.	.	PUNCT
app01-7194	38	1	30/2021	30/2021	NUM
app01-7194	38	2	comparison	comparison	NOUN
app01-7194	38	3	of	of	ADP
app01-7194	38	4	timoshenko	timoshenko	NOUN
app01-7194	38	5	and	and	CCONJ
app01-7194	38	6	bernoulli	bernoulli	NOUN
app01-7194	38	7	beams	beam	NOUN
app01-7194	38	8	n4,2	n4,2	PRON
app01-7194	38	9	⇠	⇠	PROPN
app01-7194	38	10	knotspan	knotspan	NOUN
app01-7194	38	11	patch	patch	VERB
app01-7194	38	12	continuity	continuity	NOUN
app01-7194	38	13	:	:	PUNCT
app01-7194	38	14	c0	c0	PROPN
app01-7194	38	15	c0c1c1	c0c1c1	PROPN
app01-7194	38	16	c1	c1	PROPN
app01-7194	38	17	knotspan	knotspan	PROPN
app01-7194	38	18	p	p	PROPN
app01-7194	38	19	=	=	PROPN
app01-7194	38	20	2	2	NUM
app01-7194	38	21	,	,	PUNCT
app01-7194	38	22	⌅	⌅	NOUN
app01-7194	38	23	=	=	SYM
app01-7194	38	24	{	{	PUNCT
app01-7194	38	25	0,0,0,0.5,1,1,1	0,0,0,0.5,1,1,1	NOUN
app01-7194	38	26	}	}	PUNCT
app01-7194	38	27	n1,2	n1,2	ADJ
app01-7194	38	28	n2,2	n2,2	PROPN
app01-7194	38	29	n3,2	n3,2	ADJ
app01-7194	38	30	knots	knot	NOUN
app01-7194	38	31	control	control	NOUN
app01-7194	38	32	points	point	NOUN
app01-7194	38	33	p1	p1	PROPN
app01-7194	38	34	p2	p2	NOUN
app01-7194	38	35	p4p3	p4p3	X
app01-7194	38	36	parametric	parametric	ADJ
app01-7194	38	37	space	space	NOUN
app01-7194	38	38	physical	physical	ADJ
app01-7194	38	39	space	space	NOUN
app01-7194	38	40	x	x	X
app01-7194	38	41	y	y	NOUN
app01-7194	38	42	figure	figure	NOUN
app01-7194	38	43	1	1	NUM
app01-7194	38	44	.	.	PUNCT
app01-7194	38	45	description	description	NOUN
app01-7194	38	46	of	of	ADP
app01-7194	38	47	b	b	NOUN
app01-7194	38	48	-	-	PUNCT
app01-7194	38	49	spline	spline	NOUN
app01-7194	38	50	(	(	PUNCT
app01-7194	38	51	nurbs	nurbs	PROPN
app01-7194	38	52	)	)	PUNCT
app01-7194	38	53	finite	finite	PROPN
app01-7194	38	54	element	element	NOUN
app01-7194	38	55	geometry	geometry	NOUN
app01-7194	38	56	.	.	PUNCT
app01-7194	39	1	the	the	DET
app01-7194	39	2	geometry	geometry	NOUN
app01-7194	39	3	is	be	AUX
app01-7194	39	4	modeled	model	VERB
app01-7194	39	5	by	by	ADP
app01-7194	39	6	one	one	NUM
app01-7194	39	7	patch	patch	NOUN
app01-7194	39	8	consisting	consist	VERB
app01-7194	39	9	of	of	ADP
app01-7194	39	10	two	two	NUM
app01-7194	39	11	knotspans	knotspan	NOUN
app01-7194	39	12	with	with	ADP
app01-7194	39	13	quadratic	quadratic	ADJ
app01-7194	39	14	nurbs	nurb	NOUN
app01-7194	39	15	approximation	approximation	NOUN
app01-7194	39	16	.	.	PUNCT
app01-7194	40	1	in	in	ADP
app01-7194	40	2	the	the	DET
app01-7194	40	3	following	following	NOUN
app01-7194	40	4	,	,	PUNCT
app01-7194	40	5	the	the	DET
app01-7194	40	6	standard	standard	ADJ
app01-7194	40	7	notation	notation	NOUN
app01-7194	40	8	using	use	VERB
app01-7194	40	9	upper	upper	ADJ
app01-7194	40	10	-	-	PUNCT
app01-7194	40	11	case	case	NOUN
app01-7194	40	12	and	and	CCONJ
app01-7194	40	13	lower	low	ADJ
app01-7194	40	14	-	-	PUNCT
app01-7194	40	15	case	case	NOUN
app01-7194	40	16	letters	letter	NOUN
app01-7194	40	17	for	for	ADP
app01-7194	40	18	the	the	DET
app01-7194	40	19	undeformed	undeformed	ADJ
app01-7194	40	20	and	and	CCONJ
app01-7194	40	21	deformed	deformed	ADJ
app01-7194	40	22	configuration	configuration	NOUN
app01-7194	40	23	,	,	PUNCT
app01-7194	40	24	respectively	respectively	ADV
app01-7194	40	25	,	,	PUNCT
app01-7194	40	26	is	be	AUX
app01-7194	40	27	adopted	adopt	VERB
app01-7194	40	28	.	.	PUNCT
app01-7194	41	1	the	the	DET
app01-7194	41	2	geometry	geometry	NOUN
app01-7194	41	3	description	description	NOUN
app01-7194	41	4	is	be	AUX
app01-7194	41	5	illustrated	illustrate	VERB
app01-7194	41	6	in	in	ADP
app01-7194	41	7	figure	figure	NOUN
app01-7194	41	8	2	2	NUM
app01-7194	41	9	.	.	PUNCT
app01-7194	42	1	the	the	DET
app01-7194	42	2	three	three	NUM
app01-7194	42	3	-	-	PUNCT
app01-7194	42	4	dimensional	dimensional	ADJ
app01-7194	42	5	beam	beam	NOUN
app01-7194	42	6	approximation	approximation	NOUN
app01-7194	42	7	can	can	AUX
app01-7194	42	8	be	be	AUX
app01-7194	42	9	reduced	reduce	VERB
app01-7194	42	10	to	to	ADP
app01-7194	42	11	the	the	DET
app01-7194	42	12	center	center	NOUN
app01-7194	42	13	line	line	NOUN
app01-7194	42	14	given	give	VERB
app01-7194	42	15	by	by	ADP
app01-7194	42	16	the	the	DET
app01-7194	42	17	position	position	NOUN
app01-7194	42	18	vector	vector	NOUN
app01-7194	42	19	xc	xc	PROPN
app01-7194	42	20	(	(	PUNCT
app01-7194	42	21	xc	xc	PROPN
app01-7194	42	22	)	)	PUNCT
app01-7194	42	23	xc	xc	PROPN
app01-7194	43	1	=	=	PUNCT
app01-7194	43	2	!	!	PUNCT
app01-7194	44	1	i	i	PRON
app01-7194	44	2	rp	rp	VERB
app01-7194	45	1	i	i	PRON
app01-7194	45	2	x̂i	x̂i	PROPN
app01-7194	45	3	,	,	PUNCT
app01-7194	45	4	(	(	PUNCT
app01-7194	45	5	2	2	X
app01-7194	45	6	)	)	PUNCT
app01-7194	45	7	xc	xc	NOUN
app01-7194	46	1	=	=	PUNCT
app01-7194	46	2	!	!	PUNCT
app01-7194	47	1	i	i	PRON
app01-7194	47	2	rp	rp	VERB
app01-7194	48	1	i	i	PRON
app01-7194	48	2	x̂i	x̂i	PROPN
app01-7194	48	3	,	,	PUNCT
app01-7194	48	4	(	(	PUNCT
app01-7194	48	5	3	3	X
app01-7194	48	6	)	)	PUNCT
app01-7194	48	7	where	where	SCONJ
app01-7194	48	8	x̂i	x̂i	PUNCT
app01-7194	48	9	are	be	AUX
app01-7194	48	10	the	the	DET
app01-7194	48	11	control	control	NOUN
app01-7194	48	12	points	point	NOUN
app01-7194	48	13	coordinates	coordinate	NOUN
app01-7194	48	14	and	and	CCONJ
app01-7194	48	15	rp	rp	NOUN
app01-7194	49	1	i	i	PRON
app01-7194	49	2	are	be	AUX
app01-7194	49	3	the	the	DET
app01-7194	49	4	corresponding	corresponding	ADJ
app01-7194	49	5	basis	basis	NOUN
app01-7194	49	6	functions	function	NOUN
app01-7194	49	7	.	.	PUNCT
app01-7194	50	1	deformed	deform	VERB
app01-7194	50	2	position	position	NOUN
app01-7194	50	3	vector	vector	NOUN
app01-7194	50	4	is	be	AUX
app01-7194	50	5	given	give	VERB
app01-7194	50	6	as	as	ADP
app01-7194	50	7	x̂i	x̂i	PROPN
app01-7194	50	8	=	=	SYM
app01-7194	50	9	x̂i	x̂i	PROPN
app01-7194	51	1	+	+	NUM
app01-7194	51	2	ûi	ûi	PROPN
app01-7194	51	3	,	,	PUNCT
app01-7194	51	4	(	(	PUNCT
app01-7194	51	5	4	4	X
app01-7194	51	6	)	)	PUNCT
app01-7194	51	7	where	where	SCONJ
app01-7194	51	8	ûi	ûi	PROPN
app01-7194	51	9	is	be	AUX
app01-7194	51	10	a	a	DET
app01-7194	51	11	vector	vector	NOUN
app01-7194	51	12	of	of	ADP
app01-7194	51	13	global	global	ADJ
app01-7194	51	14	degrees	degree	NOUN
app01-7194	51	15	of	of	ADP
app01-7194	51	16	freedom	freedom	NOUN
app01-7194	51	17	(	(	PUNCT
app01-7194	51	18	u	u	NOUN
app01-7194	51	19	,	,	PUNCT
app01-7194	51	20	v	v	NOUN
app01-7194	51	21	,	,	PUNCT
app01-7194	51	22	w	w	NOUN
app01-7194	51	23	)	)	PUNCT
app01-7194	51	24	.	.	PUNCT
app01-7194	52	1	the	the	DET
app01-7194	52	2	cross	cross	ADJ
app01-7194	52	3	-	-	ADJ
app01-7194	52	4	section	section	ADJ
app01-7194	52	5	orientation	orientation	NOUN
app01-7194	52	6	is	be	AUX
app01-7194	52	7	described	describe	VERB
app01-7194	52	8	by	by	ADP
app01-7194	52	9	a	a	DET
app01-7194	52	10	moving	move	VERB
app01-7194	52	11	trihedral	trihedral	NOUN
app01-7194	52	12	given	give	VERB
app01-7194	52	13	by	by	ADP
app01-7194	52	14	the	the	DET
app01-7194	52	15	base	base	NOUN
app01-7194	52	16	vectors	vector	NOUN
app01-7194	52	17	ai	ai	VERB
app01-7194	52	18	(	(	PUNCT
app01-7194	52	19	ai	ai	VERB
app01-7194	52	20	)	)	PUNCT
app01-7194	52	21	with	with	ADP
app01-7194	52	22	i	i	PROPN
app01-7194	52	23	∈	∈	PROPN
app01-7194	52	24	{	{	PUNCT
app01-7194	52	25	1	1	NUM
app01-7194	52	26	,	,	PUNCT
app01-7194	52	27	2	2	NUM
app01-7194	52	28	,	,	PUNCT
app01-7194	52	29	3	3	NUM
app01-7194	52	30	}	}	PUNCT
app01-7194	52	31	.	.	PUNCT
app01-7194	53	1	with	with	ADP
app01-7194	53	2	assumption	assumption	NOUN
app01-7194	53	3	of	of	ADP
app01-7194	53	4	bernoulli	bernoulli	PROPN
app01-7194	53	5	kinematics	kinematic	NOUN
app01-7194	53	6	,	,	PUNCT
app01-7194	53	7	a	a	DET
app01-7194	53	8	position	position	NOUN
app01-7194	53	9	vector	vector	NOUN
app01-7194	53	10	of	of	ADP
app01-7194	53	11	an	an	DET
app01-7194	53	12	arbitrary	arbitrary	ADJ
app01-7194	53	13	point	point	NOUN
app01-7194	53	14	of	of	ADP
app01-7194	53	15	a	a	DET
app01-7194	53	16	beam	beam	NOUN
app01-7194	53	17	continuum	continuum	NOUN
app01-7194	53	18	given	give	VERB
app01-7194	53	19	by	by	ADP
app01-7194	53	20	coordinates	coordinate	NOUN
app01-7194	53	21	x	x	SYM
app01-7194	53	22	(	(	PUNCT
app01-7194	53	23	x	x	X
app01-7194	53	24	)	)	PUNCT
app01-7194	53	25	can	can	AUX
app01-7194	53	26	be	be	AUX
app01-7194	53	27	expressed	express	VERB
app01-7194	53	28	as	as	ADP
app01-7194	53	29	x(θ1	x(θ1	PROPN
app01-7194	53	30	,	,	PUNCT
app01-7194	53	31	θ2	θ2	PROPN
app01-7194	53	32	,	,	PUNCT
app01-7194	53	33	θ3	θ3	PROPN
app01-7194	53	34	)	)	PUNCT
app01-7194	53	35	=	=	PUNCT
app01-7194	54	1	xc(θ1	xc(θ1	NUM
app01-7194	54	2	)	)	PUNCT
app01-7194	55	1	+	+	CCONJ
app01-7194	55	2	θ2a2(θ1	θ2a2(θ1	X
app01-7194	55	3	)	)	PUNCT
app01-7194	56	1	+	+	CCONJ
app01-7194	56	2	θ3a3(θ1	θ3a3(θ1	X
app01-7194	56	3	)	)	PUNCT
app01-7194	56	4	,	,	PUNCT
app01-7194	56	5	(	(	PUNCT
app01-7194	56	6	5	5	NUM
app01-7194	56	7	)	)	PUNCT
app01-7194	56	8	x(θ1	x(θ1	PROPN
app01-7194	56	9	,	,	PUNCT
app01-7194	56	10	θ2	θ2	PROPN
app01-7194	56	11	,	,	PUNCT
app01-7194	56	12	θ3	θ3	PROPN
app01-7194	56	13	)	)	PUNCT
app01-7194	56	14	=	=	PUNCT
app01-7194	56	15	xc(θ1	xc(θ1	NUM
app01-7194	56	16	)	)	PUNCT
app01-7194	57	1	+	+	CCONJ
app01-7194	57	2	θ2a2(θ1	θ2a2(θ1	X
app01-7194	57	3	)	)	PUNCT
app01-7194	58	1	+	+	CCONJ
app01-7194	58	2	θ3a3(θ1	θ3a3(θ1	X
app01-7194	58	3	)	)	PUNCT
app01-7194	59	1	,	,	PUNCT
app01-7194	59	2	(	(	PUNCT
app01-7194	59	3	6	6	NUM
app01-7194	59	4	)	)	PUNCT
app01-7194	59	5	where	where	SCONJ
app01-7194	59	6	θi	θi	X
app01-7194	59	7	are	be	AUX
app01-7194	59	8	the	the	DET
app01-7194	59	9	convective	convective	ADJ
app01-7194	59	10	contravariant	contravariant	ADJ
app01-7194	59	11	coordinates	coordinate	NOUN
app01-7194	59	12	.	.	PUNCT
app01-7194	60	1	the	the	DET
app01-7194	60	2	first	first	ADJ
app01-7194	60	3	components	component	NOUN
app01-7194	60	4	of	of	ADP
app01-7194	60	5	a	a	DET
app01-7194	60	6	moving	move	VERB
app01-7194	60	7	trihedral	trihedral	ADJ
app01-7194	60	8	a1	a1	NOUN
app01-7194	60	9	and	and	CCONJ
app01-7194	60	10	a1	a1	NOUN
app01-7194	60	11	are	be	AUX
app01-7194	60	12	aligned	align	VERB
app01-7194	60	13	with	with	ADP
app01-7194	60	14	a	a	DET
app01-7194	60	15	normalized	normalize	VERB
app01-7194	60	16	tangents	tangent	NOUN
app01-7194	60	17	t	t	PROPN
app01-7194	60	18	and	and	CCONJ
app01-7194	60	19	t	t	PROPN
app01-7194	60	20	,	,	PUNCT
app01-7194	60	21	respectively	respectively	ADV
app01-7194	60	22	,	,	PUNCT
app01-7194	60	23	and	and	CCONJ
app01-7194	60	24	are	be	AUX
app01-7194	60	25	computed	compute	VERB
app01-7194	60	26	as	as	ADP
app01-7194	60	27	a	a	DET
app01-7194	60	28	linear	linear	ADJ
app01-7194	60	29	combination	combination	NOUN
app01-7194	60	30	of	of	ADP
app01-7194	60	31	the	the	DET
app01-7194	60	32	control	control	NOUN
app01-7194	60	33	points	point	NOUN
app01-7194	60	34	coordinates	coordinate	NOUN
app01-7194	60	35	and	and	CCONJ
app01-7194	60	36	the	the	DET
app01-7194	60	37	derivatives	derivative	NOUN
app01-7194	60	38	of	of	ADP
app01-7194	60	39	the	the	DET
app01-7194	60	40	basis	basis	NOUN
app01-7194	60	41	functions	function	NOUN
app01-7194	60	42	.	.	PUNCT
app01-7194	61	1	the	the	DET
app01-7194	61	2	remaining	remain	VERB
app01-7194	61	3	components	component	NOUN
app01-7194	61	4	aα	aα	NOUN
app01-7194	61	5	with	with	ADP
app01-7194	61	6	α	α	PROPN
app01-7194	61	7	∈	∈	PROPN
app01-7194	61	8	{	{	PUNCT
app01-7194	61	9	2	2	NUM
app01-7194	61	10	,	,	PUNCT
app01-7194	61	11	3	3	NUM
app01-7194	61	12	}	}	PUNCT
app01-7194	61	13	are	be	AUX
app01-7194	61	14	orthogonal	orthogonal	ADJ
app01-7194	61	15	to	to	ADP
app01-7194	61	16	the	the	DET
app01-7194	61	17	tangent	tangent	NOUN
app01-7194	61	18	of	of	ADP
app01-7194	61	19	the	the	DET
app01-7194	61	20	center	center	NOUN
app01-7194	61	21	line	line	NOUN
app01-7194	61	22	(	(	PUNCT
app01-7194	61	23	resp	resp	NOUN
app01-7194	61	24	.	.	PUNCT
app01-7194	62	1	a1	a1	NOUN
app01-7194	62	2	)	)	PUNCT
app01-7194	62	3	and	and	CCONJ
app01-7194	62	4	are	be	AUX
app01-7194	62	5	derived	derive	VERB
app01-7194	62	6	from	from	ADP
app01-7194	62	7	the	the	DET
app01-7194	62	8	reference	reference	NOUN
app01-7194	62	9	trihedral	trihedral	NOUN
app01-7194	62	10	,	,	PUNCT
app01-7194	62	11	given	give	VERB
app01-7194	62	12	by	by	ADP
app01-7194	62	13	a0	a0	PROPN
app01-7194	62	14	α	α	PROPN
app01-7194	62	15	,	,	PUNCT
app01-7194	62	16	t0	t0	PROPN
app01-7194	62	17	,	,	PUNCT
app01-7194	62	18	using	use	VERB
app01-7194	62	19	two	two	NUM
app01-7194	62	20	key	key	ADJ
app01-7194	62	21	operations	operation	NOUN
app01-7194	62	22	used	use	VERB
app01-7194	62	23	for	for	ADP
app01-7194	62	24	the	the	DET
app01-7194	62	25	alignment	alignment	NOUN
app01-7194	62	26	at	at	ADP
app01-7194	62	27	the	the	DET
app01-7194	62	28	desired	desire	VERB
app01-7194	62	29	position	position	NOUN
app01-7194	62	30	.	.	PUNCT
app01-7194	63	1	these	these	DET
app01-7194	63	2	operations	operation	NOUN
app01-7194	63	3	are	be	AUX
app01-7194	63	4	illustrated	illustrate	VERB
app01-7194	63	5	in	in	ADP
app01-7194	63	6	figure	figure	NOUN
app01-7194	63	7	3	3	NUM
app01-7194	63	8	.	.	PUNCT
app01-7194	63	9	analogical	analogical	ADJ
app01-7194	63	10	procedures	procedure	NOUN
app01-7194	63	11	denoted	denote	VERB
app01-7194	63	12	as	as	ADP
app01-7194	63	13	λ(t	λ(t	PROPN
app01-7194	63	14	,	,	PUNCT
app01-7194	63	15	t	t	PROPN
app01-7194	63	16	)	)	PUNCT
app01-7194	63	17	and	and	CCONJ
app01-7194	63	18	r̄t(ψ	r̄t(ψ	NOUN
app01-7194	63	19	)	)	PUNCT
app01-7194	63	20	are	be	AUX
app01-7194	63	21	used	use	VERB
app01-7194	63	22	to	to	PART
app01-7194	63	23	align	align	VERB
app01-7194	63	24	the	the	DET
app01-7194	63	25	moving	move	VERB
app01-7194	63	26	trihedral	trihedral	NOUN
app01-7194	63	27	of	of	ADP
app01-7194	63	28	the	the	DET
app01-7194	63	29	undeformed	undeformed	ADJ
app01-7194	63	30	to	to	ADP
app01-7194	63	31	the	the	DET
app01-7194	63	32	deformed	deform	VERB
app01-7194	63	33	configuration	configuration	NOUN
app01-7194	63	34	.	.	PUNCT
app01-7194	64	1	by	by	ADP
app01-7194	64	2	substituting	substitute	VERB
app01-7194	64	3	geometric	geometric	ADJ
app01-7194	64	4	relations	relation	NOUN
app01-7194	64	5	into	into	ADP
app01-7194	64	6	the	the	DET
app01-7194	64	7	definition	definition	NOUN
app01-7194	64	8	of	of	ADP
app01-7194	64	9	green	green	ADJ
app01-7194	64	10	-	-	PUNCT
app01-7194	64	11	lagrange	lagrange	NOUN
app01-7194	64	12	strain	strain	NOUN
app01-7194	64	13	tensor	tensor	NOUN
app01-7194	64	14	,	,	PUNCT
app01-7194	64	15	the	the	DET
app01-7194	64	16	individual	individual	ADJ
app01-7194	64	17	components	component	NOUN
app01-7194	64	18	of	of	ADP
app01-7194	64	19	the	the	DET
app01-7194	64	20	tensor	tensor	NOUN
app01-7194	64	21	can	can	AUX
app01-7194	64	22	be	be	AUX
app01-7194	64	23	derived	derive	VERB
app01-7194	64	24	as	as	ADP
app01-7194	64	25	e11	e11	NOUN
app01-7194	64	26	=	=	SYM
app01-7194	64	27	1	1	NUM
app01-7194	64	28	2(a11	2(a11	NUM
app01-7194	64	29	−	−	PROPN
app01-7194	64	30	a11	a11	PROPN
app01-7194	64	31	)	)	PUNCT
app01-7194	64	32	"	"	PUNCT
app01-7194	65	1	#	#	SYM
app01-7194	65	2	$	$	NUM
app01-7194	65	3	%	%	NOUN
app01-7194	65	4	ε	ε	PROPN
app01-7194	66	1	+	+	PROPN
app01-7194	66	2	θ2	θ2	PROPN
app01-7194	66	3	a2,1	a2,1	PROPN
app01-7194	66	4	·	·	PUNCT
app01-7194	66	5	a1	a1	NOUN
app01-7194	66	6	−	−	PROPN
app01-7194	66	7	a2,1	a2,1	PROPN
app01-7194	66	8	·	·	PUNCT
app01-7194	66	9	a1	a1	NOUN
app01-7194	66	10	"	"	PUNCT
app01-7194	66	11	#	#	SYM
app01-7194	66	12	$	$	NUM
app01-7194	66	13	%	%	NOUN
app01-7194	66	14	κ21	κ21	NOUN
app01-7194	67	1	+	+	PROPN
app01-7194	67	2	θ3	θ3	PROPN
app01-7194	67	3	a3,1	a3,1	PROPN
app01-7194	67	4	·	·	PUNCT
app01-7194	67	5	a1	a1	NOUN
app01-7194	67	6	−	−	PROPN
app01-7194	67	7	a3,1	a3,1	PROPN
app01-7194	67	8	·	·	PUNCT
app01-7194	67	9	a1	a1	NOUN
app01-7194	67	10	"	"	PUNCT
app01-7194	67	11	#	#	SYM
app01-7194	67	12	$	$	NUM
app01-7194	67	13	%	%	NOUN
app01-7194	67	14	κ31	κ31	ADJ
app01-7194	67	15	.	.	PUNCT
app01-7194	68	1	(	(	PUNCT
app01-7194	68	2	7	7	X
app01-7194	68	3	)	)	PUNCT
app01-7194	68	4	the	the	DET
app01-7194	68	5	diagonal	diagonal	ADJ
app01-7194	68	6	terms	term	NOUN
app01-7194	68	7	eαα	eαα	ADJ
app01-7194	68	8	as	as	ADV
app01-7194	68	9	well	well	ADV
app01-7194	68	10	as	as	ADP
app01-7194	68	11	the	the	DET
app01-7194	68	12	shear	shear	NOUN
app01-7194	68	13	term	term	NOUN
app01-7194	68	14	e23	e23	NOUN
app01-7194	68	15	are	be	AUX
app01-7194	68	16	equal	equal	ADJ
app01-7194	68	17	to	to	ADP
app01-7194	68	18	zero	zero	NUM
app01-7194	68	19	.	.	PUNCT
app01-7194	69	1	this	this	DET
app01-7194	69	2	yields	yield	NOUN
app01-7194	69	3	from	from	ADP
app01-7194	69	4	the	the	DET
app01-7194	69	5	bernoulli	bernoulli	PROPN
app01-7194	69	6	assumptions	assumption	NOUN
app01-7194	69	7	(	(	PUNCT
app01-7194	69	8	undeformable	undeformable	ADJ
app01-7194	69	9	cross	cross	NOUN
app01-7194	69	10	-	-	NOUN
app01-7194	69	11	section	section	NOUN
app01-7194	69	12	)	)	PUNCT
app01-7194	69	13	.	.	PUNCT
app01-7194	70	1	for	for	ADP
app01-7194	70	2	the	the	DET
app01-7194	70	3	off	off	ADJ
app01-7194	70	4	-	-	PUNCT
app01-7194	70	5	diagonal	diagonal	ADJ
app01-7194	70	6	terms	term	NOUN
app01-7194	70	7	e12	e12	NOUN
app01-7194	70	8	,	,	PUNCT
app01-7194	70	9	e13	e13	PROPN
app01-7194	70	10	e1α	e1α	X
app01-7194	70	11	=	=	PUNCT
app01-7194	70	12	1	1	NUM
app01-7194	70	13	2θβ	2θβ	NOUN
app01-7194	70	14	(	(	PUNCT
app01-7194	70	15	aβ,1	aβ,1	NOUN
app01-7194	70	16	·	·	PUNCT
app01-7194	70	17	aα	aα	NOUN
app01-7194	70	18	−	−	NOUN
app01-7194	70	19	(	(	PUNCT
app01-7194	70	20	aβ,1	aβ,1	NOUN
app01-7194	70	21	·	·	PUNCT
app01-7194	70	22	aα	aα	NUM
app01-7194	70	23	)	)	PUNCT
app01-7194	70	24	"	"	PUNCT
app01-7194	70	25	#	#	SYM
app01-7194	70	26	$	$	NUM
app01-7194	70	27	%	%	NOUN
app01-7194	70	28	κβα	κβα	NOUN
app01-7194	70	29	,	,	PUNCT
app01-7194	70	30	(	(	PUNCT
app01-7194	70	31	8)	8)	NUM
app01-7194	70	32	where	where	SCONJ
app01-7194	70	33	(	(	PUNCT
app01-7194	70	34	α	α	NOUN
app01-7194	70	35	,	,	PUNCT
app01-7194	70	36	β	β	NOUN
app01-7194	70	37	)	)	PUNCT
app01-7194	70	38	∈	∈	NOUN
app01-7194	70	39	{	{	PUNCT
app01-7194	70	40	(	(	PUNCT
app01-7194	70	41	2	2	NUM
app01-7194	70	42	,	,	PUNCT
app01-7194	70	43	3	3	NUM
app01-7194	70	44	)	)	PUNCT
app01-7194	70	45	,	,	PUNCT
app01-7194	70	46	(	(	PUNCT
app01-7194	70	47	3	3	NUM
app01-7194	70	48	,	,	PUNCT
app01-7194	70	49	2	2	NUM
app01-7194	70	50	)	)	PUNCT
app01-7194	70	51	}	}	PUNCT
app01-7194	70	52	.	.	PUNCT
app01-7194	71	1	the	the	DET
app01-7194	71	2	relations	relation	NOUN
app01-7194	71	3	between	between	ADP
app01-7194	71	4	strains	strain	NOUN
app01-7194	71	5	and	and	CCONJ
app01-7194	71	6	displacements	displacement	NOUN
app01-7194	71	7	are	be	AUX
app01-7194	71	8	not	not	PART
app01-7194	71	9	linear	linear	ADJ
app01-7194	71	10	and	and	CCONJ
app01-7194	71	11	to	to	ADP
app01-7194	71	12	the	the	DET
app01-7194	71	13	purposes	purpose	NOUN
app01-7194	71	14	of	of	ADP
app01-7194	71	15	the	the	DET
app01-7194	71	16	linear	linear	ADJ
app01-7194	71	17	analysis	analysis	NOUN
app01-7194	71	18	considered	consider	VERB
app01-7194	71	19	in	in	ADP
app01-7194	71	20	this	this	DET
app01-7194	71	21	paper	paper	NOUN
app01-7194	71	22	need	need	VERB
app01-7194	71	23	to	to	PART
app01-7194	71	24	be	be	AUX
app01-7194	71	25	linearized	linearize	VERB
app01-7194	71	26	.	.	PUNCT
app01-7194	72	1	the	the	DET
app01-7194	72	2	energetically	energetically	ADV
app01-7194	72	3	conjugated	conjugate	VERB
app01-7194	72	4	stress	stress	ADJ
app01-7194	72	5	tensor	tensor	NOUN
app01-7194	72	6	to	to	ADP
app01-7194	72	7	the	the	DET
app01-7194	72	8	greenlagrange	greenlagrange	NOUN
app01-7194	72	9	strain	strain	NOUN
app01-7194	72	10	tensor	tensor	NOUN
app01-7194	72	11	is	be	AUX
app01-7194	72	12	the	the	DET
app01-7194	72	13	second	second	ADJ
app01-7194	72	14	piola	piola	PROPN
app01-7194	72	15	-	-	PUNCT
app01-7194	72	16	kirchhoff	kirchhoff	PROPN
app01-7194	72	17	tensor	tensor	NOUN
app01-7194	72	18	.	.	PUNCT
app01-7194	73	1	the	the	DET
app01-7194	73	2	stiffness	stiffness	ADJ
app01-7194	73	3	matrix	matrix	NOUN
app01-7194	73	4	is	be	AUX
app01-7194	73	5	obtained	obtain	VERB
app01-7194	73	6	by	by	ADP
app01-7194	73	7	a	a	DET
app01-7194	73	8	standard	standard	ADJ
app01-7194	73	9	procedure	procedure	NOUN
app01-7194	73	10	[	[	X
app01-7194	73	11	5	5	NUM
app01-7194	73	12	]	]	PUNCT
app01-7194	73	13	.	.	PUNCT
app01-7194	74	1	the	the	DET
app01-7194	74	2	fully	fully	ADV
app01-7194	74	3	derived	derive	VERB
app01-7194	74	4	equations	equation	NOUN
app01-7194	74	5	for	for	ADP
app01-7194	74	6	the	the	DET
app01-7194	74	7	presented	present	VERB
app01-7194	74	8	beam	beam	NOUN
app01-7194	74	9	formulation	formulation	NOUN
app01-7194	74	10	can	can	AUX
app01-7194	74	11	be	be	AUX
app01-7194	74	12	found	find	VERB
app01-7194	74	13	in	in	ADP
app01-7194	74	14	[	[	X
app01-7194	74	15	1	1	NUM
app01-7194	74	16	]	]	PUNCT
app01-7194	74	17	.	.	PUNCT
app01-7194	75	1	4	4	X
app01-7194	75	2	.	.	X
app01-7194	75	3	timoshenko	timoshenko	ADJ
app01-7194	75	4	beam	beam	NOUN
app01-7194	75	5	element	element	NOUN
app01-7194	75	6	formulation	formulation	NOUN
app01-7194	75	7	the	the	DET
app01-7194	75	8	second	second	ADJ
app01-7194	75	9	beam	beam	NOUN
app01-7194	75	10	element	element	NOUN
app01-7194	75	11	presented	present	VERB
app01-7194	75	12	here	here	ADV
app01-7194	75	13	has	have	AUX
app01-7194	75	14	been	be	AUX
app01-7194	75	15	proposed	propose	VERB
app01-7194	75	16	by	by	ADP
app01-7194	75	17	g.	g.	PROPN
app01-7194	75	18	zhang	zhang	PROPN
app01-7194	75	19	et	et	PROPN
app01-7194	75	20	al	al	PROPN
app01-7194	75	21	.	.	PUNCT
app01-7194	76	1	[	[	X
app01-7194	76	2	2	2	NUM
app01-7194	76	3	]	]	PUNCT
app01-7194	76	4	.	.	PUNCT
app01-7194	77	1	the	the	DET
app01-7194	77	2	beam	beam	NOUN
app01-7194	77	3	formu13	formu13	PROPN
app01-7194	77	4	edita	edita	PROPN
app01-7194	77	5	dvořáková	dvořáková	PROPN
app01-7194	77	6	,	,	PUNCT
app01-7194	77	7	bořek	bořek	PROPN
app01-7194	77	8	patzák	patzák	VERB
app01-7194	77	9	acta	acta	PROPN
app01-7194	77	10	polytechnica	polytechnica	PROPN
app01-7194	77	11	ctu	ctu	NOUN
app01-7194	77	12	proceedings	proceeding	NOUN
app01-7194	77	13	a1(	a1(	VERB
app01-7194	77	14	✓	✓	ADJ
app01-7194	77	15	1	1	NUM
app01-7194	77	16	)	)	PUNCT
app01-7194	77	17	a2(	a2(	VERB
app01-7194	77	18	✓	✓	ADJ
app01-7194	77	19	1	1	NUM
app01-7194	77	20	)	)	PUNCT
app01-7194	77	21	a3(	a3(	NOUN
app01-7194	77	22	✓	✓	ADJ
app01-7194	77	23	1	1	NUM
app01-7194	77	24	)	)	PUNCT
app01-7194	77	25	a1(	a1(	NOUN
app01-7194	77	26	✓	✓	ADJ
app01-7194	77	27	1	1	NUM
app01-7194	77	28	)	)	PUNCT
app01-7194	77	29	a3(	a3(	NOUN
app01-7194	77	30	✓	✓	ADJ
app01-7194	77	31	1	1	NUM
app01-7194	77	32	)	)	PUNCT
app01-7194	77	33	a2(	a2(	VERB
app01-7194	77	34	✓	✓	ADJ
app01-7194	77	35	1	1	NUM
app01-7194	77	36	)	)	PUNCT
app01-7194	77	37	u(	u(	NUM
app01-7194	77	38	✓	✓	ADJ
app01-7194	77	39	1	1	NUM
app01-7194	77	40	,	,	PUNCT
app01-7194	77	41	✓	✓	ADJ
app01-7194	77	42	2	2	NUM
app01-7194	77	43	,	,	PUNCT
app01-7194	77	44	✓	✓	ADJ
app01-7194	77	45	3	3	NUM
app01-7194	77	46	)	)	PUNCT
app01-7194	77	47	x(	x(	X
app01-7194	77	48	✓	✓	ADJ
app01-7194	77	49	1	1	NUM
app01-7194	77	50	,	,	PUNCT
app01-7194	77	51	✓	✓	ADJ
app01-7194	77	52	2	2	NUM
app01-7194	77	53	,	,	PUNCT
app01-7194	77	54	✓	✓	ADJ
app01-7194	77	55	3	3	NUM
app01-7194	77	56	)	)	PUNCT
app01-7194	77	57	xc(	xc(	NUM
app01-7194	77	58	✓	✓	NOUN
app01-7194	77	59	1	1	NUM
app01-7194	77	60	)	)	PUNCT
app01-7194	77	61	xc(	xc(	SYM
app01-7194	77	62	✓	✓	NOUN
app01-7194	77	63	1	1	NUM
app01-7194	77	64	)	)	PUNCT
app01-7194	77	65	x	x	X
app01-7194	77	66	y	y	PROPN
app01-7194	77	67	z	z	NOUN
app01-7194	77	68	figure	figure	NOUN
app01-7194	77	69	2	2	NUM
app01-7194	77	70	.	.	X
app01-7194	77	71	illustration	illustration	NOUN
app01-7194	77	72	of	of	ADP
app01-7194	77	73	the	the	DET
app01-7194	77	74	bernoulli	bernoulli	PROPN
app01-7194	77	75	beam	beam	NOUN
app01-7194	77	76	in	in	ADP
app01-7194	77	77	its	its	PRON
app01-7194	77	78	undeformed	undeformed	ADJ
app01-7194	77	79	and	and	CCONJ
app01-7194	77	80	deformed	deformed	ADJ
app01-7194	77	81	configurations	configuration	NOUN
app01-7194	77	82	.	.	PUNCT
app01-7194	78	1	t0	t0	PROPN
app01-7194	78	2	t0	t0	PROPN
app01-7194	78	3	a0	a0	PROPN
app01-7194	78	4	2	2	NUM
app01-7194	78	5	a0	a0	PROPN
app01-7194	78	6	3	3	NUM
app01-7194	78	7	t	t	PROPN
app01-7194	78	8	⇤	⇤	PROPN
app01-7194	78	9	(	(	PUNCT
app01-7194	78	10	t0	t0	PROPN
app01-7194	78	11	,	,	PUNCT
app01-7194	78	12	t	t	NOUN
app01-7194	78	13	)	)	PUNCT
app01-7194	79	1	⇤	⇤	PROPN
app01-7194	79	2	(	(	PUNCT
app01-7194	79	3	t0	t0	PROPN
app01-7194	79	4	,	,	PUNCT
app01-7194	79	5	t	t	NOUN
app01-7194	79	6	)	)	PUNCT
app01-7194	79	7	⇤	⇤	PROPN
app01-7194	79	8	(	(	PUNCT
app01-7194	79	9	t0	t0	PROPN
app01-7194	79	10	,	,	PUNCT
app01-7194	79	11	t	t	PROPN
app01-7194	79	12	)	)	PUNCT
app01-7194	79	13	a0	a0	PROPN
app01-7194	79	14	3	3	NUM
app01-7194	79	15	a0	a0	PROPN
app01-7194	79	16	3	3	NUM
app01-7194	79	17	⇤	⇤	PROPN
app01-7194	79	18	(	(	PUNCT
app01-7194	79	19	t0	t0	PROPN
app01-7194	79	20	,	,	PUNCT
app01-7194	79	21	t	t	PROPN
app01-7194	79	22	)	)	PUNCT
app01-7194	79	23	a0	a0	PROPN
app01-7194	79	24	2	2	NUM
app01-7194	79	25	t0	t0	PROPN
app01-7194	79	26	a0	a0	PROPN
app01-7194	79	27	2	2	NUM
app01-7194	79	28	a0	a0	PROPN
app01-7194	79	29	3	3	NUM
app01-7194	79	30	t	t	PROPN
app01-7194	79	31	⇤	⇤	PROPN
app01-7194	79	32	(	(	PUNCT
app01-7194	79	33	t0	t0	PROPN
app01-7194	79	34	,	,	PUNCT
app01-7194	79	35	t	t	PROPN
app01-7194	79	36	)	)	PUNCT
app01-7194	79	37	a0	a0	PROPN
app01-7194	79	38	3	3	NUM
app01-7194	79	39	⇤	⇤	PROPN
app01-7194	79	40	(	(	PUNCT
app01-7194	79	41	t0	t0	PROPN
app01-7194	79	42	,	,	PUNCT
app01-7194	79	43	t	t	PROPN
app01-7194	79	44	)	)	PUNCT
app01-7194	79	45	a0	a0	PROPN
app01-7194	79	46	2	2	NUM
app01-7194	79	47	r̄t	r̄t	PROPN
app01-7194	79	48	(	(	PUNCT
app01-7194	79	49	)	)	PUNCT
app01-7194	79	50	r̄t	r̄t	PROPN
app01-7194	79	51	(	(	PUNCT
app01-7194	79	52	)	)	PUNCT
app01-7194	79	53	a3	a3	PROPN
app01-7194	79	54	a2	a2	PROPN
app01-7194	79	55	figure	figure	NOUN
app01-7194	79	56	3	3	NUM
app01-7194	79	57	.	.	PUNCT
app01-7194	80	1	the	the	DET
app01-7194	80	2	λ(t0	λ(t0	PROPN
app01-7194	80	3	,	,	PUNCT
app01-7194	80	4	t	t	PROPN
app01-7194	80	5	)	)	PUNCT
app01-7194	80	6	and	and	CCONJ
app01-7194	80	7	r̄t(ψ	r̄t(ψ	NOUN
app01-7194	80	8	)	)	PUNCT
app01-7194	80	9	operations	operation	NOUN
app01-7194	80	10	used	use	VERB
app01-7194	80	11	for	for	ADP
app01-7194	80	12	the	the	DET
app01-7194	80	13	alignment	alignment	NOUN
app01-7194	80	14	of	of	ADP
app01-7194	80	15	the	the	DET
app01-7194	80	16	bernoulli	bernoulli	PROPN
app01-7194	80	17	beam	beam	PROPN
app01-7194	80	18	cross	cross	NOUN
app01-7194	80	19	-	-	NOUN
app01-7194	80	20	section	section	NOUN
app01-7194	80	21	at	at	ADP
app01-7194	80	22	the	the	DET
app01-7194	80	23	current	current	ADJ
app01-7194	80	24	position	position	NOUN
app01-7194	80	25	.	.	PUNCT
app01-7194	81	1	t(s	t(s	PROPN
app01-7194	81	2	)	)	PUNCT
app01-7194	81	3	n(s	n(s	PROPN
app01-7194	81	4	)	)	PUNCT
app01-7194	81	5	b(s	b(	NOUN
app01-7194	81	6	)	)	PUNCT
app01-7194	81	7	ut	ut	PROPN
app01-7194	81	8	✓	✓	PROPN
app01-7194	81	9	t	t	X
app01-7194	81	10	ub	ub	ADP
app01-7194	81	11	✓	✓	PROPN
app01-7194	81	12	b	b	X
app01-7194	81	13	un	un	PROPN
app01-7194	81	14	✓	✓	PROPN
app01-7194	81	15	n	n	DET
app01-7194	81	16	r(s	r(s	PROPN
app01-7194	81	17	)	)	PUNCT
app01-7194	81	18	figure	figure	NOUN
app01-7194	81	19	4	4	NUM
app01-7194	81	20	.	.	PUNCT
app01-7194	81	21	local	local	ADJ
app01-7194	81	22	coordination	coordination	NOUN
app01-7194	81	23	system	system	NOUN
app01-7194	81	24	and	and	CCONJ
app01-7194	81	25	degrees	degree	NOUN
app01-7194	81	26	of	of	ADP
app01-7194	81	27	freedom	freedom	NOUN
app01-7194	81	28	of	of	ADP
app01-7194	81	29	timoshenko	timoshenko	ADJ
app01-7194	81	30	beam	beam	NOUN
app01-7194	81	31	element	element	NOUN
app01-7194	81	32	.	.	PUNCT
app01-7194	82	1	lation	lation	NOUN
app01-7194	82	2	is	be	AUX
app01-7194	82	3	based	base	VERB
app01-7194	82	4	o	o	NOUN
app01-7194	82	5	the	the	DET
app01-7194	82	6	timoshenko	timoshenko	ADJ
app01-7194	82	7	beam	beam	NOUN
app01-7194	82	8	theory	theory	NOUN
app01-7194	82	9	and	and	CCONJ
app01-7194	82	10	is	be	AUX
app01-7194	82	11	derived	derive	VERB
app01-7194	82	12	in	in	ADP
app01-7194	82	13	local	local	ADJ
app01-7194	82	14	coordinate	coordinate	NOUN
app01-7194	82	15	system	system	NOUN
app01-7194	82	16	(	(	PUNCT
app01-7194	82	17	t	t	PROPN
app01-7194	82	18	,	,	PUNCT
app01-7194	82	19	n	n	CCONJ
app01-7194	82	20	,	,	PUNCT
app01-7194	82	21	b	b	NOUN
app01-7194	82	22	)	)	PUNCT
app01-7194	82	23	,	,	PUNCT
app01-7194	82	24	where	where	SCONJ
app01-7194	82	25	t	t	NOUN
app01-7194	82	26	,	,	PUNCT
app01-7194	82	27	n	n	CCONJ
app01-7194	82	28	,	,	PUNCT
app01-7194	82	29	b	b	NOUN
app01-7194	82	30	are	be	AUX
app01-7194	82	31	tangent	tangent	ADJ
app01-7194	82	32	,	,	PUNCT
app01-7194	82	33	normal	normal	ADJ
app01-7194	82	34	and	and	CCONJ
app01-7194	82	35	binormal	binormal	ADJ
app01-7194	82	36	vectors	vector	NOUN
app01-7194	82	37	.	.	PUNCT
app01-7194	83	1	there	there	PRON
app01-7194	83	2	are	be	VERB
app01-7194	83	3	six	six	NUM
app01-7194	83	4	independent	independent	ADJ
app01-7194	83	5	unknowns	unknown	NOUN
app01-7194	83	6	:	:	PUNCT
app01-7194	83	7	tangential	tangential	ADJ
app01-7194	83	8	displacement	displacement	NOUN
app01-7194	83	9	ut	ut	PROPN
app01-7194	83	10	,	,	PUNCT
app01-7194	83	11	normal	normal	ADJ
app01-7194	83	12	displacement	displacement	ADJ
app01-7194	83	13	un	un	NOUN
app01-7194	83	14	,	,	PUNCT
app01-7194	83	15	binormal	binormal	ADJ
app01-7194	83	16	displacement	displacement	NOUN
app01-7194	83	17	ub	ub	X
app01-7194	83	18	and	and	CCONJ
app01-7194	83	19	rotations	rotation	NOUN
app01-7194	83	20	θt	θt	PROPN
app01-7194	83	21	,	,	PUNCT
app01-7194	83	22	θn	θn	PROPN
app01-7194	83	23	,	,	PUNCT
app01-7194	83	24	θb	θb	X
app01-7194	83	25	(	(	PUNCT
app01-7194	83	26	see	see	VERB
app01-7194	83	27	fig	fig	NOUN
app01-7194	83	28	.	.	PUNCT
app01-7194	83	29	4	4	NUM
app01-7194	83	30	)	)	PUNCT
app01-7194	83	31	.	.	PUNCT
app01-7194	84	1	a	a	DET
app01-7194	84	2	strain	strain	NOUN
app01-7194	84	3	-	-	PUNCT
app01-7194	84	4	displacement	displacement	NOUN
app01-7194	84	5	matrix	matrix	NOUN
app01-7194	84	6	b	b	NOUN
app01-7194	84	7	is	be	AUX
app01-7194	84	8	defined	define	VERB
app01-7194	84	9	as	as	ADP
app01-7194	84	10	ε	ε	PROPN
app01-7194	84	11	=	=	SYM
app01-7194	84	12	br	br	PROPN
app01-7194	84	13	,	,	PUNCT
app01-7194	84	14	(	(	PUNCT
app01-7194	84	15	9	9	X
app01-7194	84	16	)	)	PUNCT
app01-7194	84	17	where	where	SCONJ
app01-7194	84	18	ε	ε	PROPN
app01-7194	84	19	=	=	PRON
app01-7194	84	20	{	{	PUNCT
app01-7194	84	21	εm	εm	PROPN
app01-7194	84	22	,	,	PUNCT
app01-7194	84	23	γn	γn	NUM
app01-7194	84	24	,	,	PUNCT
app01-7194	84	25	γb	γb	NOUN
app01-7194	84	26	,	,	PUNCT
app01-7194	84	27	χt	χt	ADV
app01-7194	84	28	,	,	PUNCT
app01-7194	84	29	χn	χn	ADV
app01-7194	84	30	,	,	PUNCT
app01-7194	84	31	χb}t	χb}t	NOUN
app01-7194	84	32	and	and	CCONJ
app01-7194	84	33	r	r	NOUN
app01-7194	84	34	=	=	SYM
app01-7194	84	35	{	{	PUNCT
app01-7194	84	36	ut	ut	PROPN
app01-7194	84	37	,	,	PUNCT
app01-7194	84	38	un	un	PROPN
app01-7194	84	39	,	,	PUNCT
app01-7194	84	40	ub	ub	ADP
app01-7194	84	41	,	,	PUNCT
app01-7194	84	42	θt	θt	PROPN
app01-7194	84	43	,	,	PUNCT
app01-7194	84	44	θn	θn	PROPN
app01-7194	84	45	,	,	PUNCT
app01-7194	84	46	θb}t	θb}t	PROPN
app01-7194	84	47	.	.	PUNCT
app01-7194	85	1	b	b	PROPN
app01-7194	85	2	is	be	AUX
app01-7194	85	3	derived	derive	VERB
app01-7194	85	4	from	from	ADP
app01-7194	85	5	the	the	DET
app01-7194	85	6	following	follow	VERB
app01-7194	85	7	relations	relation	NOUN
app01-7194	85	8	for	for	ADP
app01-7194	85	9	membrane	membrane	NOUN
app01-7194	85	10	strain	strain	NOUN
app01-7194	85	11	εm	εm	PROPN
app01-7194	85	12	,	,	PUNCT
app01-7194	85	13	shear	shear	NOUN
app01-7194	85	14	strains	strain	VERB
app01-7194	85	15	γn	γn	NOUN
app01-7194	85	16	and	and	CCONJ
app01-7194	85	17	γb	γb	NOUN
app01-7194	85	18	,	,	PUNCT
app01-7194	85	19	torsional	torsional	ADJ
app01-7194	85	20	strain	strain	NOUN
app01-7194	85	21	χt	χt	ADP
app01-7194	85	22	,	,	PUNCT
app01-7194	85	23	and	and	CCONJ
app01-7194	86	1	bending	bend	VERB
app01-7194	86	2	strains	strain	NOUN
app01-7194	86	3	χn	χn	X
app01-7194	86	4	and	and	CCONJ
app01-7194	86	5	χb	χb	ADP
app01-7194	86	6	εm	εm	NOUN
app01-7194	86	7	=	=	PUNCT
app01-7194	86	8	u′	u′	PROPN
app01-7194	86	9	t	t	NOUN
app01-7194	86	10	−	−	PROPN
app01-7194	86	11	κun	κun	NOUN
app01-7194	86	12	,	,	PUNCT
app01-7194	86	13	χt	χt	ADP
app01-7194	86	14	=	=	NOUN
app01-7194	86	15	θ′	θ′	NOUN
app01-7194	86	16	t	t	NOUN
app01-7194	86	17	−	−	NOUN
app01-7194	86	18	κθn	κθn	NOUN
app01-7194	86	19	,	,	PUNCT
app01-7194	86	20	γn	γn	ADP
app01-7194	86	21	=	=	SYM
app01-7194	86	22	κut	κut	PROPN
app01-7194	86	23	+	+	PUNCT
app01-7194	86	24	u′	u′	PROPN
app01-7194	86	25	n	n	CCONJ
app01-7194	86	26	−	−	PROPN
app01-7194	86	27	τub	τub	NOUN
app01-7194	87	1	−	−	PROPN
app01-7194	87	2	θb	θb	PROPN
app01-7194	87	3	,	,	PUNCT
app01-7194	87	4	χn	χn	X
app01-7194	87	5	=	=	NOUN
app01-7194	87	6	κθt	κθt	NOUN
app01-7194	87	7	+	+	CCONJ
app01-7194	87	8	θ′	θ′	NOUN
app01-7194	87	9	n	n	CCONJ
app01-7194	87	10	−	−	PROPN
app01-7194	87	11	τθb	τθb	PROPN
app01-7194	87	12	,	,	PUNCT
app01-7194	87	13	(	(	PUNCT
app01-7194	87	14	10	10	NUM
app01-7194	87	15	)	)	PUNCT
app01-7194	87	16	γb	γb	NOUN
app01-7194	87	17	=	=	SYM
app01-7194	87	18	τun	τun	NOUN
app01-7194	87	19	+	+	CCONJ
app01-7194	87	20	u′	u′	PROPN
app01-7194	87	21	b	b	PROPN
app01-7194	87	22	+	+	CCONJ
app01-7194	87	23	θn	θn	PROPN
app01-7194	87	24	,	,	PUNCT
app01-7194	87	25	χb	χb	PRON
app01-7194	87	26	=	=	PUNCT
app01-7194	87	27	τθn	τθn	X
app01-7194	87	28	+	+	CCONJ
app01-7194	87	29	θ′	θ′	NOUN
app01-7194	87	30	b.	b.	NOUN
app01-7194	87	31	curvature	curvature	NOUN
app01-7194	87	32	κ	κ	PROPN
app01-7194	87	33	is	be	AUX
app01-7194	87	34	given	give	VERB
app01-7194	87	35	as	as	ADP
app01-7194	87	36	κ	κ	PROPN
app01-7194	87	37	=	=	PROPN
app01-7194	87	38	&	&	CCONJ
app01-7194	87	39	&	&	CCONJ
app01-7194	87	40	&	&	PROPN
app01-7194	87	41	&	&	CCONJ
app01-7194	87	42	&	&	PROPN
app01-7194	87	43	&	&	PROPN
app01-7194	87	44	&	&	PROPN
app01-7194	87	45	&	&	CCONJ
app01-7194	87	46	d2r(s	d2r(s	PROPN
app01-7194	87	47	)	)	PUNCT
app01-7194	87	48	ds2	ds2	PROPN
app01-7194	87	49	&	&	CCONJ
app01-7194	87	50	&	&	PROPN
app01-7194	87	51	&	&	PROPN
app01-7194	87	52	&	&	CCONJ
app01-7194	87	53	&	&	PROPN
app01-7194	87	54	&	&	PROPN
app01-7194	87	55	&	&	PROPN
app01-7194	87	56	&	&	CCONJ
app01-7194	87	57	(	(	PUNCT
app01-7194	87	58	11	11	NUM
app01-7194	87	59	)	)	PUNCT
app01-7194	87	60	and	and	CCONJ
app01-7194	87	61	torsion	torsion	NOUN
app01-7194	87	62	τ	τ	PROPN
app01-7194	87	63	τ	τ	X
app01-7194	87	64	=	=	SYM
app01-7194	87	65	dn(s	dn(s	X
app01-7194	87	66	)	)	PUNCT
app01-7194	87	67	ds	ds	ADJ
app01-7194	87	68	b(s	b(	NOUN
app01-7194	87	69	)	)	PUNCT
app01-7194	87	70	,	,	PUNCT
app01-7194	87	71	(	(	PUNCT
app01-7194	87	72	12	12	NUM
app01-7194	87	73	)	)	PUNCT
app01-7194	87	74	where	where	SCONJ
app01-7194	87	75	r(s	r(s	NOUN
app01-7194	87	76	)	)	PUNCT
app01-7194	87	77	is	be	AUX
app01-7194	87	78	the	the	DET
app01-7194	87	79	position	position	NOUN
app01-7194	87	80	vector	vector	NOUN
app01-7194	87	81	and	and	CCONJ
app01-7194	87	82	s	s	NOUN
app01-7194	87	83	is	be	AUX
app01-7194	87	84	the	the	DET
app01-7194	87	85	curvilinear	curvilinear	ADJ
app01-7194	87	86	coordinate	coordinate	NOUN
app01-7194	87	87	measured	measure	VERB
app01-7194	87	88	along	along	ADP
app01-7194	87	89	the	the	DET
app01-7194	87	90	centerline	centerline	NOUN
app01-7194	87	91	of	of	ADP
app01-7194	87	92	the	the	DET
app01-7194	87	93	beam	beam	NOUN
app01-7194	87	94	.	.	PUNCT
app01-7194	88	1	conjugated	conjugate	VERB
app01-7194	88	2	generalized	generalize	VERB
app01-7194	88	3	stress	stress	NOUN
app01-7194	88	4	vector	vector	NOUN
app01-7194	88	5	contains	contain	VERB
app01-7194	88	6	normal	normal	ADJ
app01-7194	88	7	and	and	CCONJ
app01-7194	88	8	shear	shear	NOUN
app01-7194	88	9	forces	force	NOUN
app01-7194	88	10	,	,	PUNCT
app01-7194	88	11	and	and	CCONJ
app01-7194	88	12	torsional	torsional	ADJ
app01-7194	88	13	and	and	CCONJ
app01-7194	88	14	bending	bend	VERB
app01-7194	88	15	moments	moment	NOUN
app01-7194	88	16	.	.	PUNCT
app01-7194	89	1	similarly	similarly	ADV
app01-7194	89	2	to	to	ADP
app01-7194	89	3	the	the	DET
app01-7194	89	4	previous	previous	ADJ
app01-7194	89	5	formulation	formulation	NOUN
app01-7194	89	6	,	,	PUNCT
app01-7194	89	7	by	by	ADP
app01-7194	89	8	following	follow	VERB
app01-7194	89	9	standard	standard	ADJ
app01-7194	89	10	procedure	procedure	NOUN
app01-7194	89	11	the	the	DET
app01-7194	89	12	stiffness	stiffness	ADJ
app01-7194	89	13	matrix	matrix	NOUN
app01-7194	89	14	is	be	AUX
app01-7194	89	15	obtained	obtain	VERB
app01-7194	89	16	.	.	PUNCT
app01-7194	90	1	4.1	4.1	NUM
app01-7194	90	2	.	.	PUNCT
app01-7194	91	1	numerical	numerical	ADJ
app01-7194	91	2	locking	lock	VERB
app01-7194	91	3	the	the	DET
app01-7194	91	4	well	well	ADV
app01-7194	91	5	-	-	PUNCT
app01-7194	91	6	known	know	VERB
app01-7194	91	7	drawback	drawback	NOUN
app01-7194	91	8	of	of	ADP
app01-7194	91	9	the	the	DET
app01-7194	91	10	timoshenko	timoshenko	ADJ
app01-7194	91	11	beam	beam	NOUN
app01-7194	91	12	element	element	NOUN
app01-7194	91	13	formulations	formulation	NOUN
app01-7194	91	14	is	be	AUX
app01-7194	91	15	numerical	numerical	ADJ
app01-7194	91	16	locking	locking	NOUN
app01-7194	91	17	.	.	PUNCT
app01-7194	92	1	locking	lock	VERB
app01-7194	92	2	phenomena	phenomena	NOUN
app01-7194	92	3	rises	rise	VERB
app01-7194	92	4	from	from	ADP
app01-7194	92	5	the	the	DET
app01-7194	92	6	use	use	NOUN
app01-7194	92	7	of	of	ADP
app01-7194	92	8	the	the	DET
app01-7194	92	9	same	same	ADJ
app01-7194	92	10	approximation	approximation	NOUN
app01-7194	92	11	order	order	NOUN
app01-7194	92	12	for	for	ADP
app01-7194	92	13	displacements	displacement	NOUN
app01-7194	92	14	and	and	CCONJ
app01-7194	92	15	for	for	ADP
app01-7194	92	16	rotations	rotation	NOUN
app01-7194	92	17	,	,	PUNCT
app01-7194	92	18	which	which	PRON
app01-7194	92	19	leads	lead	VERB
app01-7194	92	20	to	to	ADP
app01-7194	92	21	the	the	DET
app01-7194	92	22	shear	shear	NOUN
app01-7194	92	23	strains	strain	NOUN
app01-7194	92	24	of	of	ADP
app01-7194	92	25	a	a	DET
app01-7194	92	26	higher	high	ADJ
app01-7194	92	27	order	order	NOUN
app01-7194	92	28	than	than	ADP
app01-7194	92	29	bending	bend	VERB
app01-7194	92	30	moments	moment	NOUN
app01-7194	92	31	.	.	PUNCT
app01-7194	93	1	several	several	ADJ
app01-7194	93	2	methods	method	NOUN
app01-7194	93	3	for	for	ADP
app01-7194	93	4	unlocking	unlock	VERB
app01-7194	93	5	beam	beam	NOUN
app01-7194	93	6	elements	element	NOUN
app01-7194	93	7	are	be	AUX
app01-7194	93	8	available	available	ADJ
app01-7194	93	9	,	,	PUNCT
app01-7194	93	10	b̄-method	b̄-method	PROPN
app01-7194	94	1	[	[	X
app01-7194	94	2	6	6	NUM
app01-7194	94	3	]	]	PUNCT
app01-7194	94	4	is	be	AUX
app01-7194	94	5	used	use	VERB
app01-7194	94	6	for	for	ADP
app01-7194	94	7	the	the	DET
app01-7194	94	8	purposes	purpose	NOUN
app01-7194	94	9	of	of	ADP
app01-7194	94	10	14	14	NUM
app01-7194	94	11	vol	vol	NOUN
app01-7194	94	12	.	.	PUNCT
app01-7194	95	1	30/2021	30/2021	NUM
app01-7194	95	2	comparison	comparison	NOUN
app01-7194	95	3	of	of	ADP
app01-7194	95	4	timoshenko	timoshenko	NOUN
app01-7194	95	5	and	and	CCONJ
app01-7194	95	6	bernoulli	bernoulli	NOUN
app01-7194	95	7	beams	beam	NOUN
app01-7194	95	8	this	this	DET
app01-7194	95	9	study	study	NOUN
app01-7194	95	10	.	.	PUNCT
app01-7194	96	1	this	this	DET
app01-7194	96	2	method	method	NOUN
app01-7194	96	3	is	be	AUX
app01-7194	96	4	based	base	VERB
app01-7194	96	5	on	on	ADP
app01-7194	96	6	the	the	DET
app01-7194	96	7	projection	projection	NOUN
app01-7194	96	8	of	of	ADP
app01-7194	96	9	the	the	DET
app01-7194	96	10	membrane	membrane	NOUN
app01-7194	96	11	and	and	CCONJ
app01-7194	96	12	shear	shear	NOUN
app01-7194	96	13	strains	strain	VERB
app01-7194	96	14	onto	onto	ADP
app01-7194	96	15	a	a	DET
app01-7194	96	16	basis	basis	NOUN
app01-7194	96	17	of	of	ADP
app01-7194	96	18	a	a	DET
app01-7194	96	19	lower	low	ADJ
app01-7194	96	20	order	order	NOUN
app01-7194	96	21	,	,	PUNCT
app01-7194	96	22	leading	lead	VERB
app01-7194	96	23	to	to	ADP
app01-7194	96	24	the	the	DET
app01-7194	96	25	removal	removal	NOUN
app01-7194	96	26	of	of	ADP
app01-7194	96	27	the	the	DET
app01-7194	96	28	locking	locking	NOUN
app01-7194	96	29	.	.	PUNCT
app01-7194	97	1	see	see	VERB
app01-7194	98	1	[	[	X
app01-7194	98	2	6	6	NUM
app01-7194	98	3	]	]	PUNCT
app01-7194	98	4	for	for	ADP
app01-7194	98	5	the	the	DET
app01-7194	98	6	detailed	detailed	ADJ
app01-7194	98	7	description	description	NOUN
app01-7194	98	8	of	of	ADP
app01-7194	98	9	the	the	DET
app01-7194	98	10	method	method	NOUN
app01-7194	98	11	.	.	PUNCT
app01-7194	99	1	5	5	NUM
app01-7194	99	2	.	.	X
app01-7194	99	3	numerical	numerical	ADJ
app01-7194	99	4	examples	example	NOUN
app01-7194	99	5	both	both	PRON
app01-7194	99	6	presented	present	VERB
app01-7194	99	7	beam	beam	NOUN
app01-7194	99	8	formulations	formulation	NOUN
app01-7194	99	9	have	have	AUX
app01-7194	99	10	been	be	AUX
app01-7194	99	11	implemented	implement	VERB
app01-7194	99	12	and	and	CCONJ
app01-7194	99	13	their	their	PRON
app01-7194	99	14	performance	performance	NOUN
app01-7194	99	15	has	have	AUX
app01-7194	99	16	been	be	AUX
app01-7194	99	17	evaluated	evaluate	VERB
app01-7194	99	18	on	on	ADP
app01-7194	99	19	the	the	DET
app01-7194	99	20	fully	fully	ADV
app01-7194	99	21	three	three	NUM
app01-7194	99	22	-	-	PUNCT
app01-7194	99	23	dimensional	dimensional	ADJ
app01-7194	99	24	example	example	NOUN
app01-7194	99	25	of	of	ADP
app01-7194	99	26	helicoidal	helicoidal	ADJ
app01-7194	99	27	spring	spring	NOUN
app01-7194	99	28	cantilever	cantilever	NOUN
app01-7194	99	29	subjected	subject	VERB
app01-7194	99	30	to	to	ADP
app01-7194	99	31	the	the	DET
app01-7194	99	32	continuous	continuous	ADJ
app01-7194	99	33	constant	constant	ADJ
app01-7194	99	34	force	force	NOUN
app01-7194	99	35	load	load	NOUN
app01-7194	99	36	[	[	X
app01-7194	99	37	2	2	NUM
app01-7194	99	38	]	]	PUNCT
app01-7194	99	39	(	(	PUNCT
app01-7194	99	40	see	see	VERB
app01-7194	99	41	figure	figure	NOUN
app01-7194	99	42	5	5	NUM
app01-7194	99	43	)	)	PUNCT
app01-7194	99	44	.	.	PUNCT
app01-7194	100	1	three	three	NUM
app01-7194	100	2	main	main	ADJ
app01-7194	100	3	aspects	aspect	NOUN
app01-7194	100	4	have	have	AUX
app01-7194	100	5	been	be	AUX
app01-7194	100	6	studied	study	VERB
app01-7194	100	7	:	:	PUNCT
app01-7194	100	8	numerical	numerical	ADJ
app01-7194	100	9	locking	locking	NOUN
app01-7194	100	10	of	of	ADP
app01-7194	100	11	timoshenko	timoshenko	NOUN
app01-7194	100	12	beam	beam	NOUN
app01-7194	100	13	,	,	PUNCT
app01-7194	100	14	comparison	comparison	NOUN
app01-7194	100	15	of	of	ADP
app01-7194	100	16	convergence	convergence	NOUN
app01-7194	100	17	of	of	ADP
app01-7194	100	18	the	the	DET
app01-7194	100	19	bernoulli	bernoulli	NOUN
app01-7194	100	20	and	and	CCONJ
app01-7194	100	21	timoshenko	timoshenko	NOUN
app01-7194	100	22	beam	beam	NOUN
app01-7194	100	23	formulations	formulation	NOUN
app01-7194	100	24	,	,	PUNCT
app01-7194	100	25	and	and	CCONJ
app01-7194	100	26	error	error	NOUN
app01-7194	100	27	of	of	ADP
app01-7194	100	28	the	the	DET
app01-7194	100	29	bernoulli	bernoulli	PROPN
app01-7194	100	30	formulation	formulation	NOUN
app01-7194	100	31	caused	cause	VERB
app01-7194	100	32	by	by	ADP
app01-7194	100	33	the	the	DET
app01-7194	100	34	neglect	neglect	NOUN
app01-7194	100	35	of	of	ADP
app01-7194	100	36	the	the	DET
app01-7194	100	37	shear	shear	NOUN
app01-7194	100	38	effects	effect	NOUN
app01-7194	100	39	.	.	PUNCT
app01-7194	101	1	5.1	5.1	NUM
app01-7194	101	2	.	.	PUNCT
app01-7194	101	3	numerical	numerical	ADJ
app01-7194	101	4	locking	locking	NOUN
app01-7194	101	5	firstly	firstly	ADV
app01-7194	101	6	,	,	PUNCT
app01-7194	101	7	the	the	DET
app01-7194	101	8	removal	removal	NOUN
app01-7194	101	9	of	of	ADP
app01-7194	101	10	the	the	DET
app01-7194	101	11	numerical	numerical	ADJ
app01-7194	101	12	locking	locking	NOUN
app01-7194	101	13	of	of	ADP
app01-7194	101	14	the	the	DET
app01-7194	101	15	timoshenko	timoshenko	ADJ
app01-7194	101	16	beam	beam	NOUN
app01-7194	101	17	formulation	formulation	NOUN
app01-7194	101	18	has	have	AUX
app01-7194	101	19	been	be	AUX
app01-7194	101	20	verified	verify	VERB
app01-7194	101	21	.	.	PUNCT
app01-7194	102	1	the	the	DET
app01-7194	102	2	presented	present	VERB
app01-7194	102	3	timoshenko	timoshenko	NOUN
app01-7194	102	4	formulation	formulation	NOUN
app01-7194	102	5	without	without	ADP
app01-7194	102	6	and	and	CCONJ
app01-7194	102	7	with	with	ADP
app01-7194	102	8	locking	locking	NOUN
app01-7194	102	9	treatment	treatment	NOUN
app01-7194	102	10	have	have	AUX
app01-7194	102	11	been	be	AUX
app01-7194	102	12	compared	compare	VERB
app01-7194	102	13	using	use	VERB
app01-7194	102	14	the	the	DET
app01-7194	102	15	example	example	NOUN
app01-7194	102	16	of	of	ADP
app01-7194	102	17	the	the	DET
app01-7194	102	18	thin	thin	ADJ
app01-7194	102	19	helix	helix	NOUN
app01-7194	102	20	depicted	depict	VERB
app01-7194	102	21	in	in	ADP
app01-7194	102	22	figure	figure	NOUN
app01-7194	102	23	5	5	NUM
app01-7194	102	24	.	.	PUNCT
app01-7194	103	1	the	the	DET
app01-7194	103	2	convergence	convergence	NOUN
app01-7194	103	3	of	of	ADP
app01-7194	103	4	the	the	DET
app01-7194	103	5	tip	tip	NOUN
app01-7194	103	6	vertical	vertical	ADJ
app01-7194	103	7	displacement	displacement	NOUN
app01-7194	103	8	has	have	AUX
app01-7194	103	9	been	be	AUX
app01-7194	103	10	observed	observe	VERB
app01-7194	103	11	.	.	PUNCT
app01-7194	104	1	additionally	additionally	ADV
app01-7194	104	2	,	,	PUNCT
app01-7194	104	3	the	the	DET
app01-7194	104	4	results	result	NOUN
app01-7194	104	5	have	have	AUX
app01-7194	104	6	been	be	AUX
app01-7194	104	7	compared	compare	VERB
app01-7194	104	8	to	to	ADP
app01-7194	104	9	the	the	DET
app01-7194	104	10	standard	standard	ADJ
app01-7194	104	11	fem	fem	NOUN
app01-7194	104	12	beam	beam	NOUN
app01-7194	104	13	element	element	NOUN
app01-7194	104	14	with	with	ADP
app01-7194	104	15	cubic	cubic	ADJ
app01-7194	104	16	approximation	approximation	NOUN
app01-7194	104	17	,	,	PUNCT
app01-7194	104	18	which	which	PRON
app01-7194	104	19	is	be	AUX
app01-7194	104	20	naturally	naturally	ADV
app01-7194	104	21	locking	locking	NOUN
app01-7194	104	22	-	-	PUNCT
app01-7194	104	23	free	free	ADJ
app01-7194	104	24	[	[	X
app01-7194	104	25	5	5	NUM
app01-7194	104	26	]	]	PUNCT
app01-7194	104	27	.	.	PUNCT
app01-7194	105	1	as	as	SCONJ
app01-7194	105	2	expected	expect	VERB
app01-7194	105	3	,	,	PUNCT
app01-7194	105	4	the	the	DET
app01-7194	105	5	numerical	numerical	ADJ
app01-7194	105	6	locking	locking	NOUN
app01-7194	105	7	can	can	AUX
app01-7194	105	8	be	be	AUX
app01-7194	105	9	observed	observe	VERB
app01-7194	105	10	when	when	SCONJ
app01-7194	105	11	no	no	DET
app01-7194	105	12	locking	locking	NOUN
app01-7194	105	13	treatment	treatment	NOUN
app01-7194	105	14	is	be	AUX
app01-7194	105	15	used	use	VERB
app01-7194	105	16	.	.	PUNCT
app01-7194	106	1	the	the	DET
app01-7194	106	2	convergence	convergence	NOUN
app01-7194	106	3	of	of	ADP
app01-7194	106	4	the	the	DET
app01-7194	106	5	isogeometric	isogeometric	ADJ
app01-7194	106	6	beam	beam	NOUN
app01-7194	106	7	is	be	AUX
app01-7194	106	8	significantly	significantly	ADV
app01-7194	106	9	deteriorated	deteriorate	VERB
app01-7194	106	10	in	in	ADP
app01-7194	106	11	comparison	comparison	NOUN
app01-7194	106	12	with	with	ADP
app01-7194	106	13	the	the	DET
app01-7194	106	14	standard	standard	ADJ
app01-7194	106	15	fem	fem	NOUN
app01-7194	106	16	beam	beam	NOUN
app01-7194	106	17	element	element	NOUN
app01-7194	106	18	.	.	PUNCT
app01-7194	107	1	when	when	SCONJ
app01-7194	107	2	b̄-locking	b̄-locking	NOUN
app01-7194	107	3	treatment	treatment	NOUN
app01-7194	107	4	is	be	AUX
app01-7194	107	5	used	use	VERB
app01-7194	107	6	a	a	DET
app01-7194	107	7	superior	superior	ADJ
app01-7194	107	8	convergence	convergence	NOUN
app01-7194	107	9	is	be	AUX
app01-7194	107	10	obtained	obtain	VERB
app01-7194	107	11	.	.	PUNCT
app01-7194	108	1	the	the	DET
app01-7194	108	2	slow	slow	ADJ
app01-7194	108	3	convergence	convergence	NOUN
app01-7194	108	4	of	of	ADP
app01-7194	108	5	the	the	DET
app01-7194	108	6	traditional	traditional	ADJ
app01-7194	108	7	fem	fem	NOUN
app01-7194	108	8	beam	beam	NOUN
app01-7194	108	9	is	be	AUX
app01-7194	108	10	due	due	ADJ
app01-7194	108	11	to	to	ADP
app01-7194	108	12	the	the	DET
app01-7194	108	13	inability	inability	NOUN
app01-7194	108	14	to	to	PART
app01-7194	108	15	exactly	exactly	ADV
app01-7194	108	16	represent	represent	VERB
app01-7194	108	17	curved	curved	ADJ
app01-7194	108	18	geometry	geometry	NOUN
app01-7194	108	19	.	.	PUNCT
app01-7194	109	1	see	see	VERB
app01-7194	109	2	figure	figure	NOUN
app01-7194	109	3	6	6	NUM
app01-7194	109	4	for	for	ADP
app01-7194	109	5	the	the	DET
app01-7194	109	6	results	result	NOUN
app01-7194	109	7	.	.	PUNCT
app01-7194	110	1	on	on	ADP
app01-7194	110	2	the	the	DET
app01-7194	110	3	other	other	ADJ
app01-7194	110	4	hand	hand	NOUN
app01-7194	110	5	,	,	PUNCT
app01-7194	110	6	isogeometric	isogeometric	ADJ
app01-7194	110	7	formulation	formulation	NOUN
app01-7194	110	8	with	with	ADP
app01-7194	110	9	the	the	DET
app01-7194	110	10	locking	locking	NOUN
app01-7194	110	11	treatment	treatment	NOUN
app01-7194	110	12	provides	provide	VERB
app01-7194	110	13	superior	superior	ADJ
app01-7194	110	14	convergency	convergency	NOUN
app01-7194	110	15	.	.	PUNCT
app01-7194	111	1	5.2	5.2	NUM
app01-7194	111	2	.	.	PUNCT
app01-7194	112	1	convergence	convergence	NOUN
app01-7194	112	2	comparison	comparison	NOUN
app01-7194	112	3	in	in	ADP
app01-7194	112	4	order	order	NOUN
app01-7194	112	5	to	to	PART
app01-7194	112	6	compare	compare	VERB
app01-7194	112	7	the	the	DET
app01-7194	112	8	timoshenko	timoshenko	NOUN
app01-7194	112	9	and	and	CCONJ
app01-7194	112	10	the	the	DET
app01-7194	112	11	bernoulli	bernoulli	PROPN
app01-7194	112	12	beam	beam	PROPN
app01-7194	112	13	formulations	formulation	NOUN
app01-7194	112	14	the	the	DET
app01-7194	112	15	error	error	NOUN
app01-7194	112	16	of	of	ADP
app01-7194	112	17	the	the	DET
app01-7194	112	18	vertical	vertical	ADJ
app01-7194	112	19	tip	tip	NOUN
app01-7194	112	20	displacement	displacement	NOUN
app01-7194	112	21	has	have	AUX
app01-7194	112	22	been	be	AUX
app01-7194	112	23	calculated	calculate	VERB
app01-7194	112	24	as	as	ADP
app01-7194	112	25	e	e	NOUN
app01-7194	112	26	=	=	NOUN
app01-7194	112	27	wref	wref	NOUN
app01-7194	112	28	−	−	NOUN
app01-7194	112	29	w	w	NOUN
app01-7194	112	30	wref	wref	NOUN
app01-7194	112	31	.	.	PUNCT
app01-7194	113	1	(	(	PUNCT
app01-7194	113	2	13	13	NUM
app01-7194	113	3	)	)	PUNCT
app01-7194	113	4	the	the	DET
app01-7194	113	5	reference	reference	NOUN
app01-7194	113	6	solution	solution	NOUN
app01-7194	113	7	have	have	AUX
app01-7194	113	8	been	be	AUX
app01-7194	113	9	calculated	calculate	VERB
app01-7194	113	10	using	use	VERB
app01-7194	113	11	fine	fine	ADJ
app01-7194	113	12	mesh	mesh	NOUN
app01-7194	113	13	consisting	consist	VERB
app01-7194	113	14	of	of	ADP
app01-7194	113	15	320	320	NUM
app01-7194	113	16	control	control	NOUN
app01-7194	113	17	points	point	NOUN
app01-7194	113	18	individually	individually	ADV
app01-7194	113	19	for	for	ADP
app01-7194	113	20	each	each	DET
app01-7194	113	21	formulation	formulation	NOUN
app01-7194	113	22	.	.	PUNCT
app01-7194	114	1	the	the	DET
app01-7194	114	2	results	result	NOUN
app01-7194	114	3	are	be	AUX
app01-7194	114	4	shown	show	VERB
app01-7194	114	5	in	in	ADP
app01-7194	114	6	figure	figure	NOUN
app01-7194	114	7	7	7	NUM
app01-7194	114	8	.	.	PUNCT
app01-7194	115	1	the	the	DET
app01-7194	115	2	better	well	ADJ
app01-7194	115	3	convergence	convergence	NOUN
app01-7194	115	4	is	be	AUX
app01-7194	115	5	provided	provide	VERB
app01-7194	115	6	by	by	ADP
app01-7194	115	7	the	the	DET
app01-7194	115	8	presented	present	VERB
app01-7194	115	9	bernoulli	bernoulli	PROPN
app01-7194	115	10	beam	beam	PROPN
app01-7194	115	11	formulation	formulation	NOUN
app01-7194	115	12	,	,	PUNCT
app01-7194	115	13	nevertheless	nevertheless	ADV
app01-7194	115	14	,	,	PUNCT
app01-7194	115	15	the	the	DET
app01-7194	115	16	timoshenko	timoshenko	ADJ
app01-7194	115	17	beam	beam	NOUN
app01-7194	115	18	element	element	NOUN
app01-7194	115	19	performs	perform	VERB
app01-7194	115	20	also	also	ADV
app01-7194	115	21	very	very	ADV
app01-7194	115	22	well	well	ADV
app01-7194	115	23	.	.	PUNCT
app01-7194	116	1	5.3	5.3	NUM
app01-7194	116	2	.	.	PUNCT
app01-7194	117	1	applicability	applicability	NOUN
app01-7194	117	2	of	of	ADP
app01-7194	117	3	bernoulli	bernoulli	PROPN
app01-7194	117	4	formulation	formulation	NOUN
app01-7194	117	5	finally	finally	ADV
app01-7194	117	6	,	,	PUNCT
app01-7194	117	7	the	the	DET
app01-7194	117	8	applicability	applicability	NOUN
app01-7194	117	9	of	of	ADP
app01-7194	117	10	the	the	DET
app01-7194	117	11	bernoulli	bernoulli	PROPN
app01-7194	117	12	beam	beam	PROPN
app01-7194	117	13	formulation	formulation	NOUN
app01-7194	117	14	has	have	AUX
app01-7194	117	15	been	be	AUX
app01-7194	117	16	assessed	assess	VERB
app01-7194	117	17	.	.	PUNCT
app01-7194	118	1	the	the	DET
app01-7194	118	2	reference	reference	NOUN
app01-7194	118	3	solution	solution	NOUN
app01-7194	118	4	of	of	ADP
app01-7194	118	5	the	the	DET
app01-7194	118	6	timoshenko	timoshenko	ADJ
app01-7194	118	7	beam	beam	NOUN
app01-7194	118	8	formulation	formulation	NOUN
app01-7194	118	9	has	have	AUX
app01-7194	118	10	been	be	AUX
app01-7194	118	11	used	use	VERB
app01-7194	118	12	r1	r1	PROPN
app01-7194	118	13	r2	r2	PROPN
app01-7194	118	14	helicoidal	helicoidal	ADJ
app01-7194	118	15	spring	spring	NOUN
app01-7194	118	16	:	:	PUNCT
app01-7194	118	17	r	r	NOUN
app01-7194	118	18	=	=	SYM
app01-7194	118	19	2	2	NUM
app01-7194	118	20	m	m	NOUN
app01-7194	118	21	h	h	NOUN
app01-7194	118	22	=	=	SYM
app01-7194	118	23	3	3	NUM
app01-7194	118	24	m	m	NOUN
app01-7194	118	25	load	load	NOUN
app01-7194	118	26	:	:	PUNCT
app01-7194	118	27	f	f	X
app01-7194	118	28	=	=	SYM
app01-7194	118	29	3	3	NUM
app01-7194	118	30	kn	kn	PROPN
app01-7194	118	31	/	/	PROPN
app01-7194	118	32	m	m	PROPN
app01-7194	118	33	cross	cross	NOUN
app01-7194	118	34	-	-	NOUN
app01-7194	118	35	section	section	NOUN
app01-7194	118	36	:	:	PUNCT
app01-7194	118	37	r1	r1	PROPN
app01-7194	118	38	=	=	PUNCT
app01-7194	118	39	0.11	0.11	NUM
app01-7194	118	40	m	m	NOUN
app01-7194	118	41	r2	r2	NOUN
app01-7194	118	42	=	=	PUNCT
app01-7194	118	43	0.15	0.15	NUM
app01-7194	118	44	m	m	NOUN
app01-7194	118	45	material	material	NOUN
app01-7194	118	46	:	:	PUNCT
app01-7194	118	47	e	e	NOUN
app01-7194	118	48	=	=	SYM
app01-7194	118	49	200	200	NUM
app01-7194	118	50	gpa	gpa	PROPN
app01-7194	118	51	figure	figure	NOUN
app01-7194	118	52	5	5	NUM
app01-7194	118	53	.	.	PUNCT
app01-7194	118	54	helicoidal	helicoidal	ADJ
app01-7194	118	55	spring	spring	NOUN
app01-7194	118	56	cantilever	cantilever	NOUN
app01-7194	118	57	subjected	subject	VERB
app01-7194	118	58	to	to	ADP
app01-7194	118	59	the	the	DET
app01-7194	118	60	constant	constant	ADJ
app01-7194	118	61	force	force	NOUN
app01-7194	118	62	load	load	NOUN
app01-7194	118	63	and	and	CCONJ
app01-7194	118	64	its	its	PRON
app01-7194	118	65	cross	cross	NOUN
app01-7194	118	66	-	-	NOUN
app01-7194	118	67	section	section	NOUN
app01-7194	118	68	.	.	PUNCT
app01-7194	119	1	in	in	ADP
app01-7194	119	2	order	order	NOUN
app01-7194	119	3	to	to	PART
app01-7194	119	4	verify	verify	VERB
app01-7194	119	5	the	the	DET
app01-7194	119	6	error	error	NOUN
app01-7194	119	7	caused	cause	VERB
app01-7194	119	8	by	by	ADP
app01-7194	119	9	the	the	DET
app01-7194	119	10	neglect	neglect	NOUN
app01-7194	119	11	of	of	ADP
app01-7194	119	12	the	the	DET
app01-7194	119	13	shear	shear	NOUN
app01-7194	119	14	effects	effect	NOUN
app01-7194	119	15	.	.	PUNCT
app01-7194	120	1	the	the	DET
app01-7194	120	2	analysis	analysis	NOUN
app01-7194	120	3	has	have	AUX
app01-7194	120	4	been	be	AUX
app01-7194	120	5	performed	perform	VERB
app01-7194	120	6	for	for	ADP
app01-7194	120	7	five	five	NUM
app01-7194	120	8	different	different	ADJ
app01-7194	120	9	cross	cros	NOUN
app01-7194	120	10	-	-	NOUN
app01-7194	120	11	sections	section	NOUN
app01-7194	120	12	in	in	ADP
app01-7194	120	13	order	order	NOUN
app01-7194	120	14	to	to	PART
app01-7194	120	15	assess	assess	VERB
app01-7194	120	16	the	the	DET
app01-7194	120	17	behavior	behavior	NOUN
app01-7194	120	18	of	of	ADP
app01-7194	120	19	beams	beam	NOUN
app01-7194	120	20	with	with	ADP
app01-7194	120	21	various	various	ADJ
app01-7194	120	22	thickness	thickness	NOUN
app01-7194	120	23	/	/	SYM
app01-7194	120	24	length	length	NOUN
app01-7194	120	25	ratios	ratio	NOUN
app01-7194	120	26	.	.	PUNCT
app01-7194	121	1	the	the	DET
app01-7194	121	2	results	result	NOUN
app01-7194	121	3	can	can	AUX
app01-7194	121	4	be	be	AUX
app01-7194	121	5	observed	observe	VERB
app01-7194	121	6	in	in	ADP
app01-7194	121	7	table	table	NOUN
app01-7194	121	8	1	1	NUM
app01-7194	121	9	.	.	PUNCT
app01-7194	122	1	as	as	SCONJ
app01-7194	122	2	expected	expect	VERB
app01-7194	122	3	,	,	PUNCT
app01-7194	122	4	the	the	DET
app01-7194	122	5	error	error	NOUN
app01-7194	122	6	rises	rise	VERB
app01-7194	122	7	significantly	significantly	ADV
app01-7194	122	8	with	with	ADP
app01-7194	122	9	the	the	DET
app01-7194	122	10	increasing	increase	VERB
app01-7194	122	11	radius	radius	NOUN
app01-7194	122	12	of	of	ADP
app01-7194	122	13	the	the	DET
app01-7194	122	14	cross	cross	NOUN
app01-7194	122	15	-	-	NOUN
app01-7194	122	16	section	section	NOUN
app01-7194	122	17	.	.	PUNCT
app01-7194	123	1	r1	r1	PROPN
app01-7194	123	2	0.11	0.11	NUM
app01-7194	123	3	0.31	0.31	NUM
app01-7194	123	4	0.51	0.51	NUM
app01-7194	123	5	0.71	0.71	NUM
app01-7194	123	6	0.91	0.91	NUM
app01-7194	123	7	r2	r2	NOUN
app01-7194	123	8	0.15	0.15	NUM
app01-7194	123	9	0.35	0.35	NUM
app01-7194	123	10	0.55	0.55	NUM
app01-7194	123	11	0.75	0.75	NUM
app01-7194	123	12	0.95	0.95	NUM
app01-7194	123	13	r2	r2	NOUN
app01-7194	123	14	/	/	SYM
app01-7194	123	15	l	l	NOUN
app01-7194	123	16	0.012	0.012	NUM
app01-7194	123	17	0.027	0.027	NUM
app01-7194	123	18	0.042	0.042	NUM
app01-7194	123	19	0.058	0.058	NUM
app01-7194	123	20	0.074	0.074	NUM
app01-7194	123	21	error	error	NOUN
app01-7194	123	22	0.7	0.7	NUM
app01-7194	123	23	%	%	NOUN
app01-7194	123	24	4.5	4.5	NUM
app01-7194	123	25	%	%	NOUN
app01-7194	123	26	10.9	10.9	NUM
app01-7194	123	27	%	%	NOUN
app01-7194	123	28	18.7	18.7	NUM
app01-7194	123	29	%	%	NOUN
app01-7194	123	30	27.1	27.1	NUM
app01-7194	123	31	%	%	NOUN
app01-7194	123	32	table	table	NOUN
app01-7194	123	33	1	1	NUM
app01-7194	123	34	.	.	PUNCT
app01-7194	124	1	the	the	DET
app01-7194	124	2	error	error	NOUN
app01-7194	124	3	of	of	ADP
app01-7194	124	4	bernoulli	bernoulli	PROPN
app01-7194	124	5	beam	beam	NOUN
app01-7194	124	6	formulation	formulation	NOUN
app01-7194	124	7	to	to	ADP
app01-7194	124	8	the	the	DET
app01-7194	124	9	timoshenko	timoshenko	ADJ
app01-7194	124	10	reference	reference	NOUN
app01-7194	124	11	solution	solution	NOUN
app01-7194	124	12	for	for	ADP
app01-7194	124	13	different	different	ADJ
app01-7194	124	14	crosssections	crosssection	NOUN
app01-7194	124	15	.	.	PUNCT
app01-7194	125	1	6	6	X
app01-7194	125	2	.	.	X
app01-7194	125	3	conclusions	conclusion	NOUN
app01-7194	125	4	two	two	NUM
app01-7194	125	5	isogeometric	isogeometric	ADJ
app01-7194	125	6	beam	beam	NOUN
app01-7194	125	7	elements	element	NOUN
app01-7194	125	8	have	have	AUX
app01-7194	125	9	been	be	AUX
app01-7194	125	10	implemented	implement	VERB
app01-7194	125	11	:	:	PUNCT
app01-7194	125	12	the	the	DET
app01-7194	125	13	bernoulli	bernoulli	PROPN
app01-7194	125	14	beam	beam	PROPN
app01-7194	125	15	element	element	NOUN
app01-7194	125	16	based	base	VERB
app01-7194	125	17	on	on	ADP
app01-7194	125	18	the	the	DET
app01-7194	125	19	work	work	NOUN
app01-7194	125	20	of	of	ADP
app01-7194	125	21	a.	a.	PROPN
app01-7194	125	22	m.	m.	PROPN
app01-7194	125	23	bauer	bauer	PROPN
app01-7194	125	24	et	et	PROPN
app01-7194	125	25	al	al	PROPN
app01-7194	125	26	.	.	PUNCT
app01-7194	126	1	[	[	X
app01-7194	126	2	1	1	X
app01-7194	126	3	]	]	PUNCT
app01-7194	126	4	and	and	CCONJ
app01-7194	126	5	the	the	DET
app01-7194	126	6	timoshenko	timoshenko	ADJ
app01-7194	126	7	beam	beam	NOUN
app01-7194	126	8	element	element	NOUN
app01-7194	126	9	presented	present	VERB
app01-7194	126	10	by	by	ADP
app01-7194	126	11	g.	g.	PROPN
app01-7194	126	12	zhang	zhang	PROPN
app01-7194	126	13	et	et	PROPN
app01-7194	126	14	al	al	PROPN
app01-7194	126	15	.	.	PUNCT
app01-7194	127	1	[	[	X
app01-7194	127	2	2	2	X
app01-7194	127	3	]	]	PUNCT
app01-7194	127	4	with	with	ADP
app01-7194	127	5	b̄method	b̄method	NOUN
app01-7194	127	6	[	[	X
app01-7194	127	7	6	6	NUM
app01-7194	127	8	]	]	PUNCT
app01-7194	127	9	used	use	VERB
app01-7194	127	10	as	as	ADP
app01-7194	127	11	a	a	DET
app01-7194	127	12	locking	locking	NOUN
app01-7194	127	13	treatment	treatment	NOUN
app01-7194	127	14	.	.	PUNCT
app01-7194	128	1	three	three	NUM
app01-7194	128	2	main	main	ADJ
app01-7194	128	3	aspects	aspect	NOUN
app01-7194	128	4	have	have	AUX
app01-7194	128	5	been	be	AUX
app01-7194	128	6	observed	observe	VERB
app01-7194	128	7	in	in	ADP
app01-7194	128	8	order	order	NOUN
app01-7194	128	9	to	to	PART
app01-7194	128	10	compare	compare	VERB
app01-7194	128	11	the	the	DET
app01-7194	128	12	performance	performance	NOUN
app01-7194	128	13	of	of	ADP
app01-7194	128	14	the	the	DET
app01-7194	128	15	presented	present	VERB
app01-7194	128	16	formulations	formulation	NOUN
app01-7194	128	17	.	.	PUNCT
app01-7194	129	1	firstly	firstly	ADV
app01-7194	129	2	,	,	PUNCT
app01-7194	129	3	the	the	DET
app01-7194	129	4	numerical	numerical	ADJ
app01-7194	129	5	locking	locking	NOUN
app01-7194	129	6	of	of	ADP
app01-7194	129	7	the	the	DET
app01-7194	129	8	timoshenko	timoshenko	ADJ
app01-7194	129	9	beam	beam	NOUN
app01-7194	129	10	element	element	NOUN
app01-7194	129	11	has	have	AUX
app01-7194	129	12	been	be	AUX
app01-7194	129	13	documented	document	VERB
app01-7194	129	14	and	and	CCONJ
app01-7194	129	15	the	the	DET
app01-7194	129	16	suitability	suitability	NOUN
app01-7194	129	17	of	of	ADP
app01-7194	129	18	the	the	DET
app01-7194	129	19	locking	locking	NOUN
app01-7194	129	20	treatment	treatment	NOUN
app01-7194	129	21	used	use	VERB
app01-7194	129	22	has	have	AUX
app01-7194	129	23	been	be	AUX
app01-7194	129	24	verified	verify	VERB
app01-7194	129	25	.	.	PUNCT
app01-7194	130	1	secondly	secondly	ADV
app01-7194	130	2	,	,	PUNCT
app01-7194	130	3	the	the	DET
app01-7194	130	4	convergence	convergence	NOUN
app01-7194	130	5	properties	property	NOUN
app01-7194	130	6	of	of	ADP
app01-7194	130	7	both	both	DET
app01-7194	130	8	15	15	NUM
app01-7194	130	9	edita	edita	PROPN
app01-7194	130	10	dvořáková	dvořáková	PROPN
app01-7194	130	11	,	,	PUNCT
app01-7194	130	12	bořek	bořek	PROPN
app01-7194	130	13	patzák	patzák	VERB
app01-7194	130	14	acta	acta	PROPN
app01-7194	130	15	polytechnica	polytechnica	PROPN
app01-7194	130	16	ctu	ctu	NOUN
app01-7194	130	17	proceedings	proceeding	NOUN
app01-7194	130	18	-0.023	-0.023	X
app01-7194	130	19	-0.0229	-0.0229	PROPN
app01-7194	130	20	-0.0228	-0.0228	PROPN
app01-7194	130	21	-0.0227	-0.0227	PROPN
app01-7194	130	22	-0.0226	-0.0226	NOUN
app01-7194	130	23	-0.0225	-0.0225	PUNCT
app01-7194	130	24	-0.0224	-0.0224	PUNCT
app01-7194	130	25	-0.0223	-0.0223	VERB
app01-7194	131	1	20	20	NUM
app01-7194	131	2	40	40	NUM
app01-7194	131	3	60	60	NUM
app01-7194	131	4	80	80	NUM
app01-7194	131	5	100	100	NUM
app01-7194	131	6	120	120	NUM
app01-7194	131	7	140	140	NUM
app01-7194	131	8	160	160	NUM
app01-7194	131	9	ve	ve	NOUN
app01-7194	131	10	rti	rti	X
app01-7194	131	11	ca	ca	PROPN
app01-7194	131	12	l	l	NOUN
app01-7194	131	13	t	t	NOUN
app01-7194	131	14	ip	ip	NOUN
app01-7194	131	15	d	d	NOUN
app01-7194	131	16	is	be	AUX
app01-7194	131	17	pl	pl	INTJ
app01-7194	131	18	ac	ac	ADV
app01-7194	131	19	em	em	PRON
app01-7194	131	20	en	en	PROPN
app01-7194	131	21	t	t	NOUN
app01-7194	131	22	number	number	NOUN
app01-7194	131	23	of	of	ADP
app01-7194	131	24	control	control	NOUN
app01-7194	131	25	points	point	NOUN
app01-7194	131	26	(	(	PUNCT
app01-7194	131	27	nodes	node	NOUN
app01-7194	131	28	)	)	PUNCT
app01-7194	131	29	ref	ref	VERB
app01-7194	131	30	timoshenko	timoshenko	ADJ
app01-7194	131	31	timoshenko	timoshenko	NOUN
app01-7194	131	32	bbar	bbar	NOUN
app01-7194	131	33	fem	fem	PROPN
app01-7194	131	34	-0.02293	-0.02293	PROPN
app01-7194	131	35	-0.02292	-0.02292	PROPN
app01-7194	131	36	-0.02291	-0.02291	PROPN
app01-7194	131	37	-0.02290	-0.02290	PROPN
app01-7194	131	38	-0.02289	-0.02289	PROPN
app01-7194	131	39	-0.02288	-0.02288	PUNCT
app01-7194	132	1	-0.02287	-0.02287	NOUN
app01-7194	132	2	20	20	NUM
app01-7194	133	1	40	40	NUM
app01-7194	133	2	60	60	NUM
app01-7194	133	3	80	80	NUM
app01-7194	133	4	100	100	NUM
app01-7194	133	5	120	120	NUM
app01-7194	133	6	140	140	NUM
app01-7194	133	7	160	160	NUM
app01-7194	133	8	ve	ve	NOUN
app01-7194	133	9	rti	rti	X
app01-7194	133	10	ca	ca	PROPN
app01-7194	133	11	l	l	NOUN
app01-7194	133	12	t	t	NOUN
app01-7194	133	13	ip	ip	NOUN
app01-7194	133	14	d	d	NOUN
app01-7194	133	15	is	be	AUX
app01-7194	133	16	pl	pl	INTJ
app01-7194	133	17	ac	ac	ADV
app01-7194	133	18	em	em	PRON
app01-7194	133	19	en	en	PROPN
app01-7194	133	20	t	t	NOUN
app01-7194	133	21	number	number	NOUN
app01-7194	133	22	of	of	ADP
app01-7194	133	23	control	control	NOUN
app01-7194	133	24	points	point	NOUN
app01-7194	133	25	(	(	PUNCT
app01-7194	133	26	nodes	node	NOUN
app01-7194	133	27	)	)	PUNCT
app01-7194	133	28	ref	ref	NOUN
app01-7194	133	29	timoshenko	timoshenko	NOUN
app01-7194	133	30	bbar	bbar	PROPN
app01-7194	133	31	fem	fem	PROPN
app01-7194	133	32	figure	figure	NOUN
app01-7194	133	33	6	6	NUM
app01-7194	133	34	.	.	PUNCT
app01-7194	133	35	comparison	comparison	NOUN
app01-7194	133	36	of	of	ADP
app01-7194	133	37	timoshenko	timoshenko	ADJ
app01-7194	133	38	beam	beam	NOUN
app01-7194	133	39	element	element	NOUN
app01-7194	133	40	with	with	ADP
app01-7194	133	41	no	no	DET
app01-7194	133	42	locking	locking	NOUN
app01-7194	133	43	treatment	treatment	NOUN
app01-7194	133	44	with	with	ADP
app01-7194	133	45	timoshenko	timoshenko	ADJ
app01-7194	133	46	beam	beam	NOUN
app01-7194	133	47	element	element	NOUN
app01-7194	133	48	using	use	VERB
app01-7194	133	49	b̄-method	b̄-method	PROPN
app01-7194	133	50	and	and	CCONJ
app01-7194	133	51	with	with	ADP
app01-7194	133	52	naturally	naturally	ADV
app01-7194	133	53	locking	locking	NOUN
app01-7194	133	54	-	-	PUNCT
app01-7194	133	55	free	free	ADJ
app01-7194	133	56	standard	standard	ADJ
app01-7194	133	57	fem	fem	NOUN
app01-7194	133	58	beam	beam	NOUN
app01-7194	133	59	element	element	NOUN
app01-7194	133	60	.	.	PUNCT
app01-7194	134	1	the	the	DET
app01-7194	134	2	vertical	vertical	ADJ
app01-7194	134	3	axis	axis	NOUN
app01-7194	134	4	corresponds	correspond	VERB
app01-7194	134	5	to	to	ADP
app01-7194	134	6	the	the	DET
app01-7194	134	7	vertical	vertical	ADJ
app01-7194	134	8	tip	tip	PROPN
app01-7194	134	9	displacement	displacement	PROPN
app01-7194	134	10	w	w	PROPN
app01-7194	134	11	,	,	PUNCT
app01-7194	134	12	the	the	DET
app01-7194	134	13	horizontal	horizontal	ADJ
app01-7194	134	14	axis	axis	NOUN
app01-7194	134	15	corresponds	correspond	VERB
app01-7194	134	16	to	to	ADP
app01-7194	134	17	the	the	DET
app01-7194	134	18	number	number	NOUN
app01-7194	134	19	of	of	ADP
app01-7194	134	20	nodes	node	NOUN
app01-7194	134	21	(	(	PUNCT
app01-7194	134	22	control	control	NOUN
app01-7194	134	23	points	point	NOUN
app01-7194	134	24	)	)	PUNCT
app01-7194	134	25	.	.	PUNCT
app01-7194	135	1	16	16	NUM
app01-7194	135	2	vol	vol	NOUN
app01-7194	135	3	.	.	PUNCT
app01-7194	136	1	30/2021	30/2021	NUM
app01-7194	136	2	comparison	comparison	NOUN
app01-7194	136	3	of	of	ADP
app01-7194	136	4	timoshenko	timoshenko	NOUN
app01-7194	136	5	and	and	CCONJ
app01-7194	136	6	bernoulli	bernoulli	NOUN
app01-7194	136	7	beams	beam	NOUN
app01-7194	136	8	0	0	PROPN
app01-7194	136	9	1x10	1x10	NUM
app01-7194	136	10	-	-	SYM
app01-7194	136	11	6	6	NUM
app01-7194	136	12	2x10	2x10	NUM
app01-7194	136	13	-	-	SYM
app01-7194	136	14	6	6	NUM
app01-7194	136	15	3x10	3x10	NUM
app01-7194	136	16	-	-	SYM
app01-7194	136	17	6	6	NUM
app01-7194	136	18	4x10	4x10	NUM
app01-7194	136	19	-	-	SYM
app01-7194	136	20	6	6	NUM
app01-7194	136	21	5x10	5x10	NUM
app01-7194	136	22	-	-	SYM
app01-7194	136	23	6	6	NUM
app01-7194	136	24	6x10	6x10	PROPN
app01-7194	136	25	-	-	PUNCT
app01-7194	136	26	6	6	NUM
app01-7194	136	27	7x10	7x10	NUM
app01-7194	136	28	-	-	SYM
app01-7194	136	29	6	6	NUM
app01-7194	136	30	8x10	8x10	NUM
app01-7194	136	31	-	-	PUNCT
app01-7194	136	32	6	6	NUM
app01-7194	136	33	9x10	9x10	NUM
app01-7194	136	34	-	-	SYM
app01-7194	136	35	6	6	NUM
app01-7194	136	36	30	30	NUM
app01-7194	136	37	35	35	NUM
app01-7194	136	38	40	40	NUM
app01-7194	136	39	45	45	NUM
app01-7194	136	40	50	50	NUM
app01-7194	136	41	55	55	NUM
app01-7194	136	42	60	60	NUM
app01-7194	136	43	65	65	NUM
app01-7194	136	44	70	70	NUM
app01-7194	136	45	75	75	NUM
app01-7194	136	46	er	er	INTJ
app01-7194	136	47	ro	ro	NOUN
app01-7194	137	1	r	r	NOUN
app01-7194	137	2	o	o	X
app01-7194	137	3	f	f	X
app01-7194	138	1	t	t	NOUN
app01-7194	138	2	he	he	PRON
app01-7194	138	3	v	v	ADP
app01-7194	138	4	er	er	INTJ
app01-7194	138	5	tic	tic	ADJ
app01-7194	138	6	al	al	PROPN
app01-7194	138	7	ti	ti	PROPN
app01-7194	138	8	p	p	PROPN
app01-7194	138	9	d	d	PROPN
app01-7194	138	10	is	be	AUX
app01-7194	138	11	pl	pl	INTJ
app01-7194	138	12	ac	ac	ADV
app01-7194	138	13	em	em	PRON
app01-7194	138	14	en	en	PROPN
app01-7194	138	15	t	t	NOUN
app01-7194	138	16	number	number	NOUN
app01-7194	138	17	of	of	ADP
app01-7194	138	18	control	control	NOUN
app01-7194	138	19	points	point	NOUN
app01-7194	138	20	(	(	PUNCT
app01-7194	138	21	nodes	node	NOUN
app01-7194	138	22	)	)	PUNCT
app01-7194	138	23	bernoulli	bernoulli	PROPN
app01-7194	139	1	timoshenko	timoshenko	NOUN
app01-7194	139	2	bbar	bbar	PROPN
app01-7194	139	3	figure	figure	NOUN
app01-7194	139	4	7	7	NUM
app01-7194	139	5	.	.	PUNCT
app01-7194	139	6	comparison	comparison	NOUN
app01-7194	139	7	of	of	ADP
app01-7194	139	8	covergence	covergence	NOUN
app01-7194	139	9	of	of	ADP
app01-7194	139	10	timoshenko	timoshenko	ADJ
app01-7194	139	11	beam	beam	NOUN
app01-7194	139	12	element	element	NOUN
app01-7194	139	13	and	and	CCONJ
app01-7194	139	14	bernoulli	bernoulli	PROPN
app01-7194	139	15	beam	beam	PROPN
app01-7194	139	16	element	element	NOUN
app01-7194	139	17	.	.	PUNCT
app01-7194	140	1	the	the	DET
app01-7194	140	2	vertical	vertical	ADJ
app01-7194	140	3	axis	axis	NOUN
app01-7194	140	4	corresponds	correspond	VERB
app01-7194	140	5	to	to	ADP
app01-7194	140	6	the	the	DET
app01-7194	140	7	erro	erro	NOUN
app01-7194	140	8	of	of	ADP
app01-7194	140	9	vertical	vertical	ADJ
app01-7194	140	10	tip	tip	PROPN
app01-7194	140	11	displacement	displacement	PROPN
app01-7194	140	12	w	w	PROPN
app01-7194	140	13	,	,	PUNCT
app01-7194	140	14	the	the	DET
app01-7194	140	15	horizontal	horizontal	ADJ
app01-7194	140	16	axis	axis	NOUN
app01-7194	140	17	corresponds	correspond	VERB
app01-7194	140	18	to	to	ADP
app01-7194	140	19	the	the	DET
app01-7194	140	20	number	number	NOUN
app01-7194	140	21	of	of	ADP
app01-7194	140	22	nodes	node	NOUN
app01-7194	140	23	(	(	PUNCT
app01-7194	140	24	control	control	NOUN
app01-7194	140	25	points	point	NOUN
app01-7194	140	26	)	)	PUNCT
app01-7194	140	27	.	.	PUNCT
app01-7194	141	1	the	the	DET
app01-7194	141	2	error	error	NOUN
app01-7194	141	3	is	be	AUX
app01-7194	141	4	calculated	calculate	VERB
app01-7194	141	5	with	with	ADP
app01-7194	141	6	respect	respect	NOUN
app01-7194	141	7	to	to	ADP
app01-7194	141	8	the	the	DET
app01-7194	141	9	reference	reference	NOUN
app01-7194	141	10	solution	solution	NOUN
app01-7194	141	11	of	of	ADP
app01-7194	141	12	particular	particular	ADJ
app01-7194	141	13	beam	beam	NOUN
app01-7194	141	14	theory	theory	NOUN
app01-7194	141	15	.	.	PUNCT
app01-7194	142	1	formulations	formulation	NOUN
app01-7194	142	2	have	have	AUX
app01-7194	142	3	been	be	AUX
app01-7194	142	4	analyzed	analyze	VERB
app01-7194	142	5	,	,	PUNCT
app01-7194	142	6	proving	prove	VERB
app01-7194	142	7	the	the	DET
app01-7194	142	8	better	well	ADJ
app01-7194	142	9	behavior	behavior	NOUN
app01-7194	142	10	of	of	ADP
app01-7194	142	11	the	the	DET
app01-7194	142	12	bernoulli	bernoulli	PROPN
app01-7194	142	13	formulation	formulation	NOUN
app01-7194	142	14	.	.	PUNCT
app01-7194	143	1	finally	finally	ADV
app01-7194	143	2	,	,	PUNCT
app01-7194	143	3	the	the	DET
app01-7194	143	4	applicability	applicability	NOUN
app01-7194	143	5	of	of	ADP
app01-7194	143	6	the	the	DET
app01-7194	143	7	bernoulli	bernoulli	PROPN
app01-7194	143	8	beam	beam	PROPN
app01-7194	143	9	element	element	NOUN
app01-7194	143	10	only	only	ADV
app01-7194	143	11	to	to	ADP
app01-7194	143	12	the	the	DET
app01-7194	143	13	thin	thin	ADJ
app01-7194	143	14	structures	structure	NOUN
app01-7194	143	15	has	have	AUX
app01-7194	143	16	been	be	AUX
app01-7194	143	17	demonstrated	demonstrate	VERB
app01-7194	143	18	.	.	PUNCT
app01-7194	144	1	the	the	DET
app01-7194	144	2	superior	superior	ADJ
app01-7194	144	3	convergence	convergence	NOUN
app01-7194	144	4	compared	compare	VERB
app01-7194	144	5	to	to	ADP
app01-7194	144	6	the	the	DET
app01-7194	144	7	traditional	traditional	ADJ
app01-7194	144	8	fem	fem	NOUN
app01-7194	144	9	formulation	formulation	NOUN
app01-7194	144	10	can	can	AUX
app01-7194	144	11	be	be	AUX
app01-7194	144	12	observed	observe	VERB
app01-7194	144	13	for	for	ADP
app01-7194	144	14	both	both	DET
app01-7194	144	15	formulations	formulation	NOUN
app01-7194	144	16	.	.	PUNCT
app01-7194	145	1	acknowledgements	acknowledgement	NOUN
app01-7194	145	2	the	the	DET
app01-7194	145	3	financial	financial	ADJ
app01-7194	145	4	support	support	NOUN
app01-7194	145	5	of	of	ADP
app01-7194	145	6	this	this	DET
app01-7194	145	7	research	research	NOUN
app01-7194	145	8	by	by	ADP
app01-7194	145	9	the	the	DET
app01-7194	145	10	grant	grant	PROPN
app01-7194	145	11	agency	agency	NOUN
app01-7194	145	12	of	of	ADP
app01-7194	145	13	the	the	DET
app01-7194	145	14	czech	czech	PROPN
app01-7194	145	15	technical	technical	PROPN
app01-7194	145	16	university	university	PROPN
app01-7194	145	17	in	in	ADP
app01-7194	145	18	prague	prague	PROPN
app01-7194	145	19	(	(	PUNCT
app01-7194	145	20	sgs	sgs	PROPN
app01-7194	145	21	project	project	NOUN
app01-7194	145	22	no	no	INTJ
app01-7194	145	23	.	.	PUNCT
app01-7194	146	1	sgs20/038	sgs20/038	PROPN
app01-7194	146	2	/	/	SYM
app01-7194	146	3	ohk1/1t/11	ohk1/1t/11	PROPN
app01-7194	146	4	)	)	PUNCT
app01-7194	146	5	is	be	AUX
app01-7194	146	6	gratefully	gratefully	ADV
app01-7194	146	7	acknowledged	acknowledge	VERB
app01-7194	146	8	.	.	PUNCT
app01-7194	147	1	references	reference	NOUN
app01-7194	147	2	[	[	X
app01-7194	147	3	1	1	NUM
app01-7194	147	4	]	]	PUNCT
app01-7194	147	5	a.	a.	NOUN
app01-7194	147	6	bauer	bauer	PROPN
app01-7194	147	7	,	,	PUNCT
app01-7194	147	8	m.	m.	NOUN
app01-7194	147	9	breitenberger	breitenberger	PROPN
app01-7194	147	10	,	,	PUNCT
app01-7194	147	11	b.	b.	PROPN
app01-7194	147	12	philipp	philipp	PROPN
app01-7194	147	13	,	,	PUNCT
app01-7194	147	14	et	et	PROPN
app01-7194	147	15	al	al	PROPN
app01-7194	147	16	.	.	PROPN
app01-7194	148	1	nonlinear	nonlinear	PROPN
app01-7194	148	2	isogeometric	isogeometric	PROPN
app01-7194	148	3	spatial	spatial	PROPN
app01-7194	148	4	bernoulli	bernoulli	PROPN
app01-7194	148	5	beam	beam	NOUN
app01-7194	148	6	.	.	PUNCT
app01-7194	149	1	computer	computer	NOUN
app01-7194	149	2	methods	method	NOUN
app01-7194	149	3	in	in	ADP
app01-7194	149	4	applied	applied	ADJ
app01-7194	149	5	mechanics	mechanic	NOUN
app01-7194	149	6	and	and	CCONJ
app01-7194	149	7	engineering	engineering	NOUN
app01-7194	149	8	303:101–127	303:101–127	NUM
app01-7194	149	9	,	,	PUNCT
app01-7194	149	10	2016	2016	NUM
app01-7194	149	11	.	.	PUNCT
app01-7194	150	1	[	[	X
app01-7194	150	2	2	2	X
app01-7194	150	3	]	]	PUNCT
app01-7194	150	4	g.	g.	PROPN
app01-7194	150	5	zhang	zhang	PROPN
app01-7194	150	6	,	,	PUNCT
app01-7194	150	7	r.	r.	PROPN
app01-7194	150	8	alberdi	alberdi	PROPN
app01-7194	150	9	,	,	PUNCT
app01-7194	150	10	k.	k.	PROPN
app01-7194	150	11	khandelwal	khandelwal	PROPN
app01-7194	150	12	.	.	PUNCT
app01-7194	151	1	analysis	analysis	NOUN
app01-7194	151	2	of	of	ADP
app01-7194	151	3	three	three	NUM
app01-7194	151	4	-	-	PUNCT
app01-7194	151	5	dimensional	dimensional	ADJ
app01-7194	151	6	curved	curved	ADJ
app01-7194	151	7	beams	beam	NOUN
app01-7194	151	8	using	use	VERB
app01-7194	151	9	isogeometric	isogeometric	ADJ
app01-7194	151	10	approach	approach	NOUN
app01-7194	151	11	.	.	PUNCT
app01-7194	152	1	engineering	engineering	NOUN
app01-7194	152	2	structures	structure	NOUN
app01-7194	152	3	117:560–574	117:560–574	NUM
app01-7194	152	4	,	,	PUNCT
app01-7194	152	5	2016	2016	NUM
app01-7194	152	6	.	.	PUNCT
app01-7194	153	1	[	[	X
app01-7194	153	2	3	3	X
app01-7194	153	3	]	]	PUNCT
app01-7194	153	4	t.	t.	PROPN
app01-7194	153	5	j.	j.	PROPN
app01-7194	153	6	r.	r.	PROPN
app01-7194	153	7	hughes	hughes	PROPN
app01-7194	153	8	,	,	PUNCT
app01-7194	153	9	j.	j.	PROPN
app01-7194	153	10	a.	a.	PROPN
app01-7194	153	11	cottrell	cottrell	PROPN
app01-7194	153	12	,	,	PUNCT
app01-7194	153	13	y.	y.	PROPN
app01-7194	153	14	bazilevs	bazilevs	PROPN
app01-7194	153	15	.	.	PUNCT
app01-7194	154	1	isogeometric	isogeometric	ADJ
app01-7194	154	2	analysis	analysis	NOUN
app01-7194	154	3	:	:	PUNCT
app01-7194	154	4	cad	cad	NOUN
app01-7194	154	5	,	,	PUNCT
app01-7194	154	6	finite	finite	ADJ
app01-7194	154	7	elements	element	NOUN
app01-7194	154	8	,	,	PUNCT
app01-7194	154	9	nurbs	nurb	NOUN
app01-7194	154	10	,	,	PUNCT
app01-7194	154	11	exact	exact	ADJ
app01-7194	154	12	geometry	geometry	NOUN
app01-7194	154	13	and	and	CCONJ
app01-7194	154	14	mesh	mesh	NOUN
app01-7194	154	15	refinement	refinement	NOUN
app01-7194	154	16	.	.	PUNCT
app01-7194	155	1	comput	comput	NOUN
app01-7194	155	2	methods	method	NOUN
app01-7194	155	3	appl	appl	PROPN
app01-7194	155	4	mech	mech	NOUN
app01-7194	155	5	engrg	engrg	PROPN
app01-7194	155	6	194:4135–4195	194:4135–4195	NUM
app01-7194	155	7	,	,	PUNCT
app01-7194	155	8	2005	2005	NUM
app01-7194	155	9	.	.	PUNCT
app01-7194	156	1	[	[	X
app01-7194	156	2	4	4	X
app01-7194	156	3	]	]	PUNCT
app01-7194	156	4	l.	l.	PROPN
app01-7194	156	5	piegl	piegl	PROPN
app01-7194	156	6	,	,	PUNCT
app01-7194	156	7	w.	w.	PROPN
app01-7194	156	8	tiller	tiller	NOUN
app01-7194	156	9	.	.	PUNCT
app01-7194	157	1	the	the	DET
app01-7194	157	2	nurbs	nurbs	PROPN
app01-7194	157	3	book	book	PROPN
app01-7194	157	4	.	.	PUNCT
app01-7194	157	5	springer	springer	NOUN
app01-7194	157	6	-	-	PUNCT
app01-7194	157	7	verlag	verlag	PROPN
app01-7194	157	8	berlin	berlin	PROPN
app01-7194	157	9	heidelberg	heidelberg	PROPN
app01-7194	157	10	,	,	PUNCT
app01-7194	157	11	new	new	PROPN
app01-7194	157	12	york	york	PROPN
app01-7194	157	13	,	,	PUNCT
app01-7194	157	14	1997	1997	NUM
app01-7194	157	15	.	.	PUNCT
app01-7194	158	1	[	[	X
app01-7194	158	2	5	5	X
app01-7194	158	3	]	]	PUNCT
app01-7194	158	4	z.	z.	PROPN
app01-7194	158	5	bittnar	bittnar	PROPN
app01-7194	158	6	,	,	PUNCT
app01-7194	158	7	j.	j.	PROPN
app01-7194	158	8	šejnoha	šejnoha	PROPN
app01-7194	158	9	.	.	PUNCT
app01-7194	159	1	numerické	numerické	NOUN
app01-7194	159	2	metody	metody	ADJ
app01-7194	159	3	mechaniky	mechaniky	NOUN
app01-7194	159	4	1	1	NUM
app01-7194	159	5	.	.	PUNCT
app01-7194	160	1	české	české	PROPN
app01-7194	160	2	vysoké	vysoké	PROPN
app01-7194	160	3	učení	učení	PROPN
app01-7194	160	4	technické	technické	PROPN
app01-7194	160	5	,	,	PUNCT
app01-7194	160	6	praha	praha	PROPN
app01-7194	160	7	,	,	PUNCT
app01-7194	160	8	1992	1992	NUM
app01-7194	160	9	.	.	PUNCT
app01-7194	161	1	[	[	X
app01-7194	161	2	6	6	NUM
app01-7194	161	3	]	]	PUNCT
app01-7194	161	4	r.	r.	NOUN
app01-7194	161	5	bouclier	bouclier	NOUN
app01-7194	161	6	,	,	PUNCT
app01-7194	161	7	t.	t.	NOUN
app01-7194	161	8	elguedj	elguedj	NOUN
app01-7194	161	9	.	.	PUNCT
app01-7194	162	1	locking	lock	VERB
app01-7194	162	2	free	free	ADJ
app01-7194	162	3	isogeometric	isogeometric	ADJ
app01-7194	162	4	formulations	formulation	NOUN
app01-7194	162	5	of	of	ADP
app01-7194	162	6	curved	curved	ADJ
app01-7194	162	7	thick	thick	ADJ
app01-7194	162	8	beams	beam	NOUN
app01-7194	162	9	.	.	PUNCT
app01-7194	163	1	comput	comput	ADJ
app01-7194	163	2	methods	method	NOUN
app01-7194	163	3	appl	appl	PROPN
app01-7194	163	4	mech	mech	NOUN
app01-7194	163	5	engrg	engrg	PROPN
app01-7194	163	6	245	245	NUM
app01-7194	163	7	-	-	PUNCT
app01-7194	163	8	246:144–162	246:144–162	NUM
app01-7194	163	9	,	,	PUNCT
app01-7194	163	10	2012	2012	NUM
app01-7194	163	11	.	.	PUNCT
app01-7194	164	1	17	17	NUM