id	sid	tid	token	lemma	pos
app01-7216	1	1	doi:10.14311	doi:10.14311	NOUN
app01-7216	1	2	/	/	SYM
app01-7216	1	3	app.2021.30.0087	app.2021.30.0087	PROPN
app01-7216	1	4	acta	acta	PROPN
app01-7216	1	5	polytechnica	polytechnica	PROPN
app01-7216	1	6	ctu	ctu	NOUN
app01-7216	1	7	proceedings	proceeding	NOUN
app01-7216	1	8	30:87–92	30:87–92	NUM
app01-7216	1	9	,	,	PUNCT
app01-7216	1	10	2021	2021	NUM
app01-7216	1	11	©	©	PROPN
app01-7216	1	12	czech	czech	PROPN
app01-7216	1	13	technical	technical	PROPN
app01-7216	1	14	university	university	PROPN
app01-7216	1	15	in	in	ADP
app01-7216	1	16	prague	prague	PROPN
app01-7216	1	17	,	,	PUNCT
app01-7216	1	18	2021	2021	NUM
app01-7216	1	19	available	available	ADJ
app01-7216	1	20	online	online	ADV
app01-7216	1	21	at	at	ADP
app01-7216	1	22	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-7216	1	23	beam	beam	PROPN
app01-7216	1	24	element	element	NOUN
app01-7216	1	25	under	under	ADP
app01-7216	1	26	finite	finite	ADJ
app01-7216	1	27	rotations	rotation	NOUN
app01-7216	1	28	emma	emma	PROPN
app01-7216	1	29	la	la	PROPN
app01-7216	1	30	malfa	malfa	PROPN
app01-7216	1	31	ribolla∗	ribolla∗	PROPN
app01-7216	1	32	,	,	PUNCT
app01-7216	1	33	milan	milan	PROPN
app01-7216	1	34	jirásek	jirásek	PROPN
app01-7216	1	35	,	,	PUNCT
app01-7216	1	36	martin	martin	PROPN
app01-7216	1	37	horák	horák	PROPN
app01-7216	1	38	czech	czech	PROPN
app01-7216	1	39	technical	technical	PROPN
app01-7216	1	40	university	university	PROPN
app01-7216	1	41	in	in	ADP
app01-7216	1	42	prague	prague	PROPN
app01-7216	1	43	,	,	PUNCT
app01-7216	1	44	faculty	faculty	NOUN
app01-7216	1	45	of	of	ADP
app01-7216	1	46	civil	civil	ADJ
app01-7216	1	47	engineering	engineering	NOUN
app01-7216	1	48	,	,	PUNCT
app01-7216	1	49	department	department	NOUN
app01-7216	1	50	of	of	ADP
app01-7216	1	51	mechanics	mechanic	NOUN
app01-7216	1	52	,	,	PUNCT
app01-7216	1	53	thákurova	thákurova	X
app01-7216	1	54	7	7	NUM
app01-7216	1	55	,	,	PUNCT
app01-7216	1	56	166	166	NUM
app01-7216	1	57	29	29	NUM
app01-7216	1	58	prague	prague	NOUN
app01-7216	1	59	6	6	NUM
app01-7216	1	60	,	,	PUNCT
app01-7216	1	61	czech	czech	PROPN
app01-7216	1	62	republic	republic	NOUN
app01-7216	1	63	∗	∗	NOUN
app01-7216	1	64	corresponding	correspond	VERB
app01-7216	1	65	author	author	NOUN
app01-7216	1	66	:	:	PUNCT
app01-7216	1	67	emma.la.malfa.ribolla@fsv.cvut.cz	emma.la.malfa.ribolla@fsv.cvut.cz	NOUN
app01-7216	1	68	abstract	abstract	NOUN
app01-7216	1	69	.	.	PUNCT
app01-7216	2	1	the	the	DET
app01-7216	2	2	present	present	ADJ
app01-7216	2	3	work	work	NOUN
app01-7216	2	4	focuses	focus	VERB
app01-7216	2	5	on	on	ADP
app01-7216	2	6	the	the	DET
app01-7216	2	7	2	2	NUM
app01-7216	2	8	-	-	PUNCT
app01-7216	2	9	d	d	NOUN
app01-7216	2	10	formulation	formulation	NOUN
app01-7216	2	11	of	of	ADP
app01-7216	2	12	a	a	DET
app01-7216	2	13	nonlinear	nonlinear	ADJ
app01-7216	2	14	beam	beam	NOUN
app01-7216	2	15	model	model	NOUN
app01-7216	2	16	for	for	ADP
app01-7216	2	17	slender	slender	ADJ
app01-7216	2	18	structures	structure	NOUN
app01-7216	2	19	that	that	PRON
app01-7216	2	20	can	can	AUX
app01-7216	2	21	exhibit	exhibit	VERB
app01-7216	2	22	large	large	ADJ
app01-7216	2	23	rotations	rotation	NOUN
app01-7216	2	24	of	of	ADP
app01-7216	2	25	the	the	DET
app01-7216	2	26	cross	cross	NOUN
app01-7216	2	27	sections	section	NOUN
app01-7216	2	28	while	while	SCONJ
app01-7216	2	29	remaining	remain	VERB
app01-7216	2	30	in	in	ADP
app01-7216	2	31	the	the	DET
app01-7216	2	32	small	small	ADJ
app01-7216	2	33	-	-	PUNCT
app01-7216	2	34	strain	strain	NOUN
app01-7216	2	35	regime	regime	NOUN
app01-7216	2	36	.	.	PUNCT
app01-7216	3	1	bernoulli	bernoulli	PROPN
app01-7216	3	2	-	-	PUNCT
app01-7216	3	3	euler	euler	NOUN
app01-7216	3	4	hypothesis	hypothesis	NOUN
app01-7216	3	5	that	that	PRON
app01-7216	3	6	plane	plane	NOUN
app01-7216	3	7	sections	section	NOUN
app01-7216	3	8	remain	remain	VERB
app01-7216	3	9	plane	plane	NOUN
app01-7216	3	10	and	and	CCONJ
app01-7216	3	11	perpendicular	perpendicular	NOUN
app01-7216	3	12	to	to	ADP
app01-7216	3	13	the	the	DET
app01-7216	3	14	deformed	deform	VERB
app01-7216	3	15	beam	beam	NOUN
app01-7216	3	16	centerline	centerline	NOUN
app01-7216	3	17	is	be	AUX
app01-7216	3	18	combined	combine	VERB
app01-7216	3	19	with	with	ADP
app01-7216	3	20	a	a	DET
app01-7216	3	21	linear	linear	ADJ
app01-7216	3	22	elastic	elastic	ADJ
app01-7216	3	23	stress	stress	NOUN
app01-7216	3	24	-	-	PUNCT
app01-7216	3	25	strain	strain	NOUN
app01-7216	3	26	law	law	NOUN
app01-7216	3	27	.	.	PUNCT
app01-7216	4	1	the	the	DET
app01-7216	4	2	formulation	formulation	NOUN
app01-7216	4	3	is	be	AUX
app01-7216	4	4	based	base	VERB
app01-7216	4	5	on	on	ADP
app01-7216	4	6	the	the	DET
app01-7216	4	7	integrated	integrate	VERB
app01-7216	4	8	form	form	NOUN
app01-7216	4	9	of	of	ADP
app01-7216	4	10	equilibrium	equilibrium	NOUN
app01-7216	4	11	equations	equation	NOUN
app01-7216	4	12	and	and	CCONJ
app01-7216	4	13	leads	lead	VERB
app01-7216	4	14	to	to	ADP
app01-7216	4	15	a	a	DET
app01-7216	4	16	set	set	NOUN
app01-7216	4	17	of	of	ADP
app01-7216	4	18	three	three	NUM
app01-7216	4	19	first	first	ADJ
app01-7216	4	20	-	-	PUNCT
app01-7216	4	21	order	order	NOUN
app01-7216	4	22	differential	differential	ADJ
app01-7216	4	23	equations	equation	NOUN
app01-7216	4	24	for	for	ADP
app01-7216	4	25	the	the	DET
app01-7216	4	26	displacements	displacement	NOUN
app01-7216	4	27	and	and	CCONJ
app01-7216	4	28	rotation	rotation	NOUN
app01-7216	4	29	,	,	PUNCT
app01-7216	4	30	which	which	PRON
app01-7216	4	31	are	be	AUX
app01-7216	4	32	numerically	numerically	ADV
app01-7216	4	33	integrated	integrate	VERB
app01-7216	4	34	using	use	VERB
app01-7216	4	35	a	a	DET
app01-7216	4	36	special	special	ADJ
app01-7216	4	37	version	version	NOUN
app01-7216	4	38	of	of	ADP
app01-7216	4	39	the	the	DET
app01-7216	4	40	shooting	shooting	NOUN
app01-7216	4	41	method	method	NOUN
app01-7216	4	42	.	.	PUNCT
app01-7216	5	1	the	the	DET
app01-7216	5	2	element	element	NOUN
app01-7216	5	3	has	have	AUX
app01-7216	5	4	been	be	AUX
app01-7216	5	5	implemented	implement	VERB
app01-7216	5	6	into	into	ADP
app01-7216	5	7	an	an	DET
app01-7216	5	8	open	open	ADJ
app01-7216	5	9	-	-	PUNCT
app01-7216	5	10	source	source	NOUN
app01-7216	5	11	finite	finite	PROPN
app01-7216	5	12	element	element	PROPN
app01-7216	5	13	code	code	NOUN
app01-7216	5	14	to	to	PART
app01-7216	5	15	ease	ease	VERB
app01-7216	5	16	computations	computation	NOUN
app01-7216	5	17	involving	involve	VERB
app01-7216	5	18	more	more	ADJ
app01-7216	5	19	complex	complex	ADJ
app01-7216	5	20	structures	structure	NOUN
app01-7216	5	21	.	.	PUNCT
app01-7216	6	1	numerical	numerical	ADJ
app01-7216	6	2	examples	example	NOUN
app01-7216	6	3	show	show	VERB
app01-7216	6	4	a	a	DET
app01-7216	6	5	favorable	favorable	ADJ
app01-7216	6	6	comparison	comparison	NOUN
app01-7216	6	7	with	with	ADP
app01-7216	6	8	standard	standard	ADJ
app01-7216	6	9	beam	beam	NOUN
app01-7216	6	10	elements	element	NOUN
app01-7216	6	11	formulated	formulate	VERB
app01-7216	6	12	in	in	ADP
app01-7216	6	13	the	the	DET
app01-7216	6	14	finite	finite	ADJ
app01-7216	6	15	-	-	ADJ
app01-7216	6	16	strain	strain	ADJ
app01-7216	6	17	framework	framework	NOUN
app01-7216	6	18	and	and	CCONJ
app01-7216	6	19	with	with	ADP
app01-7216	6	20	analytical	analytical	ADJ
app01-7216	6	21	solutions	solution	NOUN
app01-7216	6	22	.	.	PUNCT
app01-7216	7	1	keywords	keyword	NOUN
app01-7216	7	2	:	:	PUNCT
app01-7216	7	3	finite	finite	VERB
app01-7216	7	4	rotations	rotation	NOUN
app01-7216	7	5	,	,	PUNCT
app01-7216	7	6	nonlinear	nonlinear	ADJ
app01-7216	7	7	beam	beam	NOUN
app01-7216	7	8	,	,	PUNCT
app01-7216	7	9	shooting	shooting	NOUN
app01-7216	7	10	method	method	NOUN
app01-7216	7	11	.	.	PUNCT
app01-7216	8	1	1	1	X
app01-7216	8	2	.	.	X
app01-7216	8	3	introduction	introduction	NOUN
app01-7216	8	4	highly	highly	ADV
app01-7216	8	5	slender	slender	ADJ
app01-7216	8	6	fiberor	fiberor	NOUN
app01-7216	8	7	rod	rod	NOUN
app01-7216	8	8	-	-	PUNCT
app01-7216	8	9	like	like	ADJ
app01-7216	8	10	components	component	NOUN
app01-7216	8	11	represent	represent	VERB
app01-7216	8	12	essential	essential	ADJ
app01-7216	8	13	constituents	constituent	NOUN
app01-7216	8	14	of	of	ADP
app01-7216	8	15	mechanical	mechanical	ADJ
app01-7216	8	16	systems	system	NOUN
app01-7216	8	17	in	in	ADP
app01-7216	8	18	many	many	ADJ
app01-7216	8	19	fields	field	NOUN
app01-7216	8	20	of	of	ADP
app01-7216	8	21	application	application	NOUN
app01-7216	8	22	such	such	ADJ
app01-7216	8	23	as	as	ADP
app01-7216	8	24	civil	civil	ADJ
app01-7216	8	25	,	,	PUNCT
app01-7216	8	26	mechanical	mechanical	ADJ
app01-7216	8	27	and	and	CCONJ
app01-7216	8	28	biomedical	biomedical	ADJ
app01-7216	8	29	engineering	engineering	NOUN
app01-7216	8	30	.	.	PUNCT
app01-7216	9	1	it	it	PRON
app01-7216	9	2	is	be	AUX
app01-7216	9	3	widely	widely	ADV
app01-7216	9	4	recognized	recognize	VERB
app01-7216	9	5	that	that	SCONJ
app01-7216	9	6	slender	slender	ADJ
app01-7216	9	7	bodies	body	NOUN
app01-7216	9	8	can	can	AUX
app01-7216	9	9	be	be	AUX
app01-7216	9	10	efficiently	efficiently	ADV
app01-7216	9	11	modeled	model	VERB
app01-7216	9	12	applying	apply	VERB
app01-7216	9	13	a	a	DET
app01-7216	9	14	beam	beam	NOUN
app01-7216	9	15	theory	theory	NOUN
app01-7216	9	16	instead	instead	ADV
app01-7216	9	17	of	of	ADP
app01-7216	9	18	a	a	DET
app01-7216	9	19	3d	3d	NUM
app01-7216	9	20	continuum	continuum	ADJ
app01-7216	9	21	mechanics	mechanic	NOUN
app01-7216	9	22	theory	theory	NOUN
app01-7216	9	23	.	.	PUNCT
app01-7216	10	1	kirchoff	kirchoff	PROPN
app01-7216	10	2	proposed	propose	VERB
app01-7216	10	3	the	the	DET
app01-7216	10	4	first	first	ADJ
app01-7216	10	5	beam	beam	NOUN
app01-7216	10	6	formulation	formulation	NOUN
app01-7216	10	7	which	which	PRON
app01-7216	10	8	includes	include	VERB
app01-7216	10	9	large	large	ADJ
app01-7216	10	10	three	three	NUM
app01-7216	10	11	-	-	PUNCT
app01-7216	10	12	dimensional	dimensional	ADJ
app01-7216	10	13	deformations	deformation	NOUN
app01-7216	10	14	[	[	X
app01-7216	10	15	1	1	NUM
app01-7216	10	16	,	,	PUNCT
app01-7216	10	17	2	2	NUM
app01-7216	10	18	]	]	PUNCT
app01-7216	10	19	,	,	PUNCT
app01-7216	10	20	and	and	CCONJ
app01-7216	10	21	reissner	reissner	NOUN
app01-7216	10	22	completed	complete	VERB
app01-7216	10	23	the	the	DET
app01-7216	10	24	theory	theory	NOUN
app01-7216	10	25	for	for	ADP
app01-7216	10	26	both	both	PRON
app01-7216	10	27	two	two	NUM
app01-7216	10	28	-	-	PUNCT
app01-7216	10	29	dimensional	dimensional	ADJ
app01-7216	10	30	[	[	X
app01-7216	10	31	3	3	NUM
app01-7216	10	32	]	]	PUNCT
app01-7216	10	33	and	and	CCONJ
app01-7216	10	34	three	three	NUM
app01-7216	10	35	-	-	PUNCT
app01-7216	10	36	dimensional	dimensional	ADJ
app01-7216	10	37	cases	case	NOUN
app01-7216	10	38	[	[	X
app01-7216	10	39	4	4	NUM
app01-7216	10	40	]	]	PUNCT
app01-7216	10	41	with	with	ADP
app01-7216	10	42	two	two	NUM
app01-7216	10	43	additional	additional	ADJ
app01-7216	10	44	deformation	deformation	NOUN
app01-7216	10	45	measures	measure	NOUN
app01-7216	10	46	representing	represent	VERB
app01-7216	10	47	the	the	DET
app01-7216	10	48	shear	shear	NOUN
app01-7216	10	49	distortion	distortion	NOUN
app01-7216	10	50	of	of	ADP
app01-7216	10	51	beam	beam	NOUN
app01-7216	10	52	segments	segment	NOUN
app01-7216	10	53	.	.	PUNCT
app01-7216	11	1	reissner	reissner	PROPN
app01-7216	11	2	’s	’s	PART
app01-7216	11	3	finite	finite	ADJ
app01-7216	11	4	-	-	ADJ
app01-7216	11	5	strain	strain	ADJ
app01-7216	11	6	beam	beam	NOUN
app01-7216	11	7	theory	theory	NOUN
app01-7216	11	8	is	be	AUX
app01-7216	11	9	one	one	NUM
app01-7216	11	10	of	of	ADP
app01-7216	11	11	the	the	DET
app01-7216	11	12	most	most	ADV
app01-7216	11	13	important	important	ADJ
app01-7216	11	14	geometrically	geometrically	ADV
app01-7216	11	15	nonlinear	nonlinear	ADJ
app01-7216	11	16	models	model	NOUN
app01-7216	11	17	,	,	PUNCT
app01-7216	11	18	subsequently	subsequently	ADV
app01-7216	11	19	extended	extend	VERB
app01-7216	11	20	and	and	CCONJ
app01-7216	11	21	used	use	VERB
app01-7216	11	22	by	by	ADP
app01-7216	11	23	many	many	ADJ
app01-7216	11	24	other	other	ADJ
app01-7216	11	25	authors	author	NOUN
app01-7216	11	26	for	for	ADP
app01-7216	11	27	2	2	NUM
app01-7216	11	28	-	-	PUNCT
app01-7216	11	29	d	d	NOUN
app01-7216	11	30	and	and	CCONJ
app01-7216	11	31	3	3	NUM
app01-7216	11	32	-	-	PUNCT
app01-7216	11	33	d	d	NOUN
app01-7216	11	34	analysis	analysis	NOUN
app01-7216	11	35	of	of	ADP
app01-7216	11	36	static	static	NOUN
app01-7216	11	37	as	as	ADV
app01-7216	11	38	well	well	ADV
app01-7216	11	39	as	as	ADP
app01-7216	11	40	dynamic	dynamic	ADJ
app01-7216	11	41	problems	problem	NOUN
app01-7216	11	42	.	.	PUNCT
app01-7216	12	1	simo	simo	PROPN
app01-7216	12	2	developed	develop	VERB
app01-7216	12	3	a	a	DET
app01-7216	12	4	dynamic	dynamic	ADJ
app01-7216	12	5	formulation	formulation	NOUN
app01-7216	12	6	for	for	ADP
app01-7216	12	7	reissner	reissner	NOUN
app01-7216	12	8	’s	’s	PART
app01-7216	12	9	beam	beam	NOUN
app01-7216	13	1	[	[	X
app01-7216	13	2	5	5	NUM
app01-7216	13	3	]	]	PUNCT
app01-7216	13	4	and	and	CCONJ
app01-7216	13	5	together	together	ADV
app01-7216	13	6	with	with	ADP
app01-7216	13	7	vu	vu	NOUN
app01-7216	13	8	-	-	NOUN
app01-7216	13	9	quoc	quoc	NOUN
app01-7216	13	10	[	[	X
app01-7216	13	11	6	6	NUM
app01-7216	13	12	]	]	PUNCT
app01-7216	13	13	initiated	initiate	VERB
app01-7216	13	14	the	the	DET
app01-7216	13	15	finite	finite	ADJ
app01-7216	13	16	element	element	NOUN
app01-7216	13	17	implementation	implementation	NOUN
app01-7216	13	18	.	.	PUNCT
app01-7216	14	1	he	he	PRON
app01-7216	14	2	also	also	ADV
app01-7216	14	3	introduced	introduce	VERB
app01-7216	14	4	the	the	DET
app01-7216	14	5	useful	useful	ADJ
app01-7216	14	6	concept	concept	NOUN
app01-7216	14	7	of	of	ADP
app01-7216	14	8	a	a	DET
app01-7216	14	9	geometrically	geometrically	ADV
app01-7216	14	10	exact	exact	ADJ
app01-7216	14	11	beam	beam	NOUN
app01-7216	14	12	,	,	PUNCT
app01-7216	14	13	based	base	VERB
app01-7216	14	14	on	on	ADP
app01-7216	14	15	recasting	recast	VERB
app01-7216	14	16	reissner	reissner	NOUN
app01-7216	14	17	’s	’s	PART
app01-7216	14	18	theory	theory	NOUN
app01-7216	14	19	in	in	ADP
app01-7216	14	20	a	a	DET
app01-7216	14	21	form	form	NOUN
app01-7216	14	22	which	which	PRON
app01-7216	14	23	is	be	AUX
app01-7216	14	24	valid	valid	ADJ
app01-7216	14	25	for	for	ADP
app01-7216	14	26	any	any	DET
app01-7216	14	27	magnitude	magnitude	NOUN
app01-7216	14	28	of	of	ADP
app01-7216	14	29	displacements	displacement	NOUN
app01-7216	14	30	and	and	CCONJ
app01-7216	14	31	rotations	rotation	NOUN
app01-7216	14	32	.	.	PUNCT
app01-7216	15	1	in	in	ADP
app01-7216	15	2	this	this	DET
app01-7216	15	3	paper	paper	NOUN
app01-7216	15	4	,	,	PUNCT
app01-7216	15	5	a	a	DET
app01-7216	15	6	geometrically	geometrically	ADV
app01-7216	15	7	nonlinear	nonlinear	ADJ
app01-7216	15	8	beam	beam	NOUN
app01-7216	15	9	model	model	NOUN
app01-7216	15	10	is	be	AUX
app01-7216	15	11	formulated	formulate	VERB
app01-7216	15	12	for	for	ADP
app01-7216	15	13	the	the	DET
app01-7216	15	14	2	2	NUM
app01-7216	15	15	-	-	PUNCT
app01-7216	15	16	d	d	NOUN
app01-7216	15	17	case	case	NOUN
app01-7216	15	18	.	.	PUNCT
app01-7216	16	1	this	this	DET
app01-7216	16	2	model	model	NOUN
app01-7216	16	3	is	be	AUX
app01-7216	16	4	applicable	applicable	ADJ
app01-7216	16	5	when	when	SCONJ
app01-7216	16	6	the	the	DET
app01-7216	16	7	strains	strain	NOUN
app01-7216	16	8	remain	remain	VERB
app01-7216	16	9	in	in	ADP
app01-7216	16	10	a	a	DET
app01-7216	16	11	limited	limited	ADJ
app01-7216	16	12	range	range	NOUN
app01-7216	16	13	while	while	SCONJ
app01-7216	16	14	the	the	DET
app01-7216	16	15	rotations	rotation	NOUN
app01-7216	16	16	of	of	ADP
app01-7216	16	17	beam	beam	NOUN
app01-7216	16	18	sections	section	NOUN
app01-7216	16	19	can	can	AUX
app01-7216	16	20	become	become	VERB
app01-7216	16	21	arbitrarily	arbitrarily	ADV
app01-7216	16	22	large	large	ADJ
app01-7216	16	23	,	,	PUNCT
app01-7216	16	24	and	and	CCONJ
app01-7216	16	25	it	it	PRON
app01-7216	16	26	properly	properly	ADV
app01-7216	16	27	accounts	account	VERB
app01-7216	16	28	for	for	ADP
app01-7216	16	29	the	the	DET
app01-7216	16	30	effect	effect	NOUN
app01-7216	16	31	of	of	ADP
app01-7216	16	32	curvature	curvature	NOUN
app01-7216	16	33	on	on	ADP
app01-7216	16	34	the	the	DET
app01-7216	16	35	change	change	NOUN
app01-7216	16	36	of	of	ADP
app01-7216	16	37	distance	distance	NOUN
app01-7216	16	38	between	between	ADP
app01-7216	16	39	end	end	NOUN
app01-7216	16	40	sections	section	NOUN
app01-7216	16	41	measured	measure	VERB
app01-7216	16	42	along	along	ADP
app01-7216	16	43	the	the	DET
app01-7216	16	44	chord	chord	NOUN
app01-7216	16	45	.	.	PUNCT
app01-7216	17	1	therefore	therefore	ADV
app01-7216	17	2	the	the	DET
app01-7216	17	3	model	model	NOUN
app01-7216	17	4	considers	consider	VERB
app01-7216	17	5	large	large	ADJ
app01-7216	17	6	rotations	rotation	NOUN
app01-7216	17	7	and	and	CCONJ
app01-7216	17	8	displacements	displacement	NOUN
app01-7216	17	9	while	while	SCONJ
app01-7216	17	10	strains	strain	NOUN
app01-7216	17	11	are	be	AUX
app01-7216	17	12	treated	treat	VERB
app01-7216	17	13	as	as	ADP
app01-7216	17	14	small	small	ADJ
app01-7216	17	15	and	and	CCONJ
app01-7216	17	16	simple	simple	ADJ
app01-7216	17	17	hooke	hooke	PROPN
app01-7216	17	18	’s	’s	PART
app01-7216	17	19	law	law	NOUN
app01-7216	17	20	is	be	AUX
app01-7216	17	21	used	use	VERB
app01-7216	17	22	(	(	PUNCT
app01-7216	17	23	an	an	DET
app01-7216	17	24	extension	extension	NOUN
app01-7216	17	25	to	to	ADP
app01-7216	17	26	a	a	DET
app01-7216	17	27	nonlinear	nonlinear	ADJ
app01-7216	17	28	material	material	NOUN
app01-7216	17	29	law	law	NOUN
app01-7216	17	30	would	would	AUX
app01-7216	17	31	be	be	AUX
app01-7216	17	32	relatively	relatively	ADV
app01-7216	17	33	straightforward	straightforward	ADJ
app01-7216	17	34	)	)	PUNCT
app01-7216	17	35	.	.	PUNCT
app01-7216	18	1	cross	cross	NOUN
app01-7216	18	2	sections	section	NOUN
app01-7216	18	3	are	be	AUX
app01-7216	18	4	still	still	ADV
app01-7216	18	5	assumed	assume	VERB
app01-7216	18	6	to	to	PART
app01-7216	18	7	remain	remain	VERB
app01-7216	18	8	planar	planar	ADJ
app01-7216	18	9	and	and	CCONJ
app01-7216	18	10	perpendicular	perpendicular	ADJ
app01-7216	18	11	to	to	ADP
app01-7216	18	12	the	the	DET
app01-7216	18	13	deformed	deform	VERB
app01-7216	18	14	beam	beam	NOUN
app01-7216	18	15	axis	axis	NOUN
app01-7216	18	16	.	.	PUNCT
app01-7216	19	1	the	the	DET
app01-7216	19	2	formulation	formulation	NOUN
app01-7216	19	3	exploits	exploit	VERB
app01-7216	19	4	the	the	DET
app01-7216	19	5	equilibrium	equilibrium	NOUN
app01-7216	19	6	equations	equation	NOUN
app01-7216	19	7	in	in	ADP
app01-7216	19	8	their	their	PRON
app01-7216	19	9	strong	strong	ADJ
app01-7216	19	10	form	form	NOUN
app01-7216	19	11	.	.	PUNCT
app01-7216	20	1	they	they	PRON
app01-7216	20	2	are	be	AUX
app01-7216	20	3	combined	combine	VERB
app01-7216	20	4	with	with	ADP
app01-7216	20	5	the	the	DET
app01-7216	20	6	kinematic	kinematic	ADJ
app01-7216	20	7	equations	equation	NOUN
app01-7216	20	8	and	and	CCONJ
app01-7216	20	9	generalized	generalized	ADJ
app01-7216	20	10	material	material	NOUN
app01-7216	20	11	equations	equation	NOUN
app01-7216	20	12	(	(	PUNCT
app01-7216	20	13	linking	link	VERB
app01-7216	20	14	internal	internal	ADJ
app01-7216	20	15	forces	force	NOUN
app01-7216	20	16	to	to	ADP
app01-7216	20	17	the	the	DET
app01-7216	20	18	curvature	curvature	NOUN
app01-7216	20	19	and	and	CCONJ
app01-7216	20	20	centerline	centerline	NOUN
app01-7216	20	21	extension	extension	NOUN
app01-7216	20	22	)	)	PUNCT
app01-7216	20	23	and	and	CCONJ
app01-7216	20	24	then	then	ADV
app01-7216	20	25	numerically	numerically	ADV
app01-7216	20	26	integrated	integrate	VERB
app01-7216	20	27	.	.	PUNCT
app01-7216	21	1	2	2	X
app01-7216	21	2	.	.	X
app01-7216	21	3	model	model	NOUN
app01-7216	21	4	description	description	NOUN
app01-7216	21	5	2.1	2.1	NUM
app01-7216	21	6	.	.	PUNCT
app01-7216	22	1	basic	basic	ADJ
app01-7216	22	2	kinematic	kinematic	ADJ
app01-7216	22	3	assumptions	assumption	NOUN
app01-7216	22	4	in	in	ADP
app01-7216	22	5	this	this	DET
app01-7216	22	6	section	section	NOUN
app01-7216	22	7	,	,	PUNCT
app01-7216	22	8	the	the	DET
app01-7216	22	9	kinematics	kinematic	NOUN
app01-7216	22	10	of	of	ADP
app01-7216	22	11	the	the	DET
app01-7216	22	12	element	element	NOUN
app01-7216	22	13	is	be	AUX
app01-7216	22	14	presented	present	VERB
app01-7216	22	15	,	,	PUNCT
app01-7216	22	16	leading	lead	VERB
app01-7216	22	17	to	to	ADP
app01-7216	22	18	the	the	DET
app01-7216	22	19	strain	strain	NOUN
app01-7216	22	20	-	-	PUNCT
app01-7216	22	21	displacement	displacement	NOUN
app01-7216	22	22	equations	equation	NOUN
app01-7216	22	23	.	.	PUNCT
app01-7216	23	1	each	each	DET
app01-7216	23	2	beam	beam	NOUN
app01-7216	23	3	is	be	AUX
app01-7216	23	4	analyzed	analyze	VERB
app01-7216	23	5	in	in	ADP
app01-7216	23	6	its	its	PRON
app01-7216	23	7	local	local	ADJ
app01-7216	23	8	coordinate	coordinate	NOUN
app01-7216	23	9	system	system	NOUN
app01-7216	23	10	,	,	PUNCT
app01-7216	23	11	with	with	ADP
app01-7216	23	12	the	the	DET
app01-7216	23	13	x	x	ADJ
app01-7216	23	14	-	-	NOUN
app01-7216	23	15	axis	axis	ADJ
app01-7216	23	16	passing	pass	VERB
app01-7216	23	17	through	through	ADP
app01-7216	23	18	the	the	DET
app01-7216	23	19	end	end	NOUN
app01-7216	23	20	joints	joint	NOUN
app01-7216	23	21	in	in	ADP
app01-7216	23	22	the	the	DET
app01-7216	23	23	undeformed	undeformed	ADJ
app01-7216	23	24	configuration	configuration	NOUN
app01-7216	23	25	and	and	CCONJ
app01-7216	23	26	the	the	DET
app01-7216	23	27	z	z	NOUN
app01-7216	23	28	-	-	PUNCT
app01-7216	23	29	axis	axis	NOUN
app01-7216	23	30	rotated	rotate	VERB
app01-7216	23	31	by	by	ADP
app01-7216	23	32	90	90	NUM
app01-7216	23	33	◦	◦	NOUN
app01-7216	23	34	clockwise	clockwise	NOUN
app01-7216	23	35	,	,	PUNCT
app01-7216	23	36	while	while	SCONJ
app01-7216	23	37	the	the	DET
app01-7216	23	38	rotations	rotation	NOUN
app01-7216	23	39	are	be	AUX
app01-7216	23	40	positive	positive	ADJ
app01-7216	23	41	counterclockwise	counterclockwise	NOUN
app01-7216	23	42	(	(	PUNCT
app01-7216	23	43	see	see	VERB
app01-7216	23	44	figure	figure	NOUN
app01-7216	23	45	1	1	NUM
app01-7216	23	46	)	)	PUNCT
app01-7216	23	47	.	.	PUNCT
app01-7216	24	1	we	we	PRON
app01-7216	24	2	use	use	VERB
app01-7216	24	3	u	u	NOUN
app01-7216	24	4	and	and	CCONJ
app01-7216	24	5	w	w	NOUN
app01-7216	24	6	for	for	ADP
app01-7216	24	7	horizontal	horizontal	ADJ
app01-7216	24	8	and	and	CCONJ
app01-7216	24	9	vertical	vertical	ADJ
app01-7216	24	10	displacements	displacement	NOUN
app01-7216	24	11	at	at	ADP
app01-7216	24	12	an	an	DET
app01-7216	24	13	arbitrary	arbitrary	ADJ
app01-7216	24	14	point	point	NOUN
app01-7216	24	15	,	,	PUNCT
app01-7216	24	16	while	while	SCONJ
app01-7216	24	17	the	the	DET
app01-7216	24	18	displacements	displacement	NOUN
app01-7216	24	19	at	at	ADP
app01-7216	24	20	the	the	DET
app01-7216	24	21	centerline	centerline	NOUN
app01-7216	24	22	are	be	AUX
app01-7216	24	23	denoted	denote	VERB
app01-7216	24	24	by	by	ADP
app01-7216	24	25	us	we	PRON
app01-7216	24	26	and	and	CCONJ
app01-7216	24	27	ws	ws	PROPN
app01-7216	24	28	.	.	PUNCT
app01-7216	25	1	let	let	VERB
app01-7216	25	2	us	we	PRON
app01-7216	25	3	consider	consider	VERB
app01-7216	25	4	an	an	DET
app01-7216	25	5	infinitesimal	infinitesimal	ADJ
app01-7216	25	6	segment	segment	NOUN
app01-7216	25	7	of	of	ADP
app01-7216	25	8	the	the	DET
app01-7216	25	9	centerline	centerline	NOUN
app01-7216	25	10	of	of	ADP
app01-7216	25	11	initial	initial	ADJ
app01-7216	25	12	length	length	NOUN
app01-7216	25	13	dx	dx	PROPN
app01-7216	25	14	,	,	PUNCT
app01-7216	25	15	which	which	PRON
app01-7216	25	16	is	be	AUX
app01-7216	25	17	after	after	ADP
app01-7216	25	18	deformation	deformation	NOUN
app01-7216	25	19	transformed	transform	VERB
app01-7216	25	20	into	into	ADP
app01-7216	25	21	a	a	DET
app01-7216	25	22	segment	segment	NOUN
app01-7216	25	23	of	of	ADP
app01-7216	25	24	length	length	NOUN
app01-7216	25	25	dx̄	dx̄	ADV
app01-7216	25	26	=	=	PRON
app01-7216	25	27	!	!	PUNCT
app01-7216	26	1	(	(	PUNCT
app01-7216	26	2	dx	dx	X
app01-7216	26	3	+	+	CCONJ
app01-7216	27	1	dus)2	dus)2	VERB
app01-7216	27	2	+	+	NUM
app01-7216	27	3	dw2	dw2	NOUN
app01-7216	27	4	s	s	PART
app01-7216	27	5	.	.	PUNCT
app01-7216	28	1	the	the	DET
app01-7216	28	2	corresponding	correspond	VERB
app01-7216	28	3	centerline	centerline	NOUN
app01-7216	28	4	stretch	stretch	NOUN
app01-7216	28	5	can	can	AUX
app01-7216	28	6	be	be	AUX
app01-7216	28	7	expressed	express	VERB
app01-7216	28	8	as	as	ADP
app01-7216	28	9	λs	λs	NOUN
app01-7216	28	10	=	=	PUNCT
app01-7216	28	11	dx̄	dx̄	PROPN
app01-7216	28	12	dx	dx	PROPN
app01-7216	28	13	=	=	PUNCT
app01-7216	28	14	!	!	PUNCT
app01-7216	29	1	(	(	PUNCT
app01-7216	29	2	1	1	NUM
app01-7216	29	3	+	+	NUM
app01-7216	29	4	u′	u′	PROPN
app01-7216	29	5	s)2	s)2	NOUN
app01-7216	29	6	+	+	NUM
app01-7216	29	7	w′2	w′2	X
app01-7216	29	8	s	s	X
app01-7216	29	9	(	(	PUNCT
app01-7216	29	10	1	1	NUM
app01-7216	29	11	)	)	PUNCT
app01-7216	29	12	where	where	SCONJ
app01-7216	29	13	the	the	DET
app01-7216	29	14	prime	prime	ADJ
app01-7216	29	15	denotes	denote	NOUN
app01-7216	29	16	differentiation	differentiation	NOUN
app01-7216	29	17	with	with	ADP
app01-7216	29	18	respect	respect	NOUN
app01-7216	29	19	to	to	ADP
app01-7216	29	20	x.	x.	NOUN
app01-7216	29	21	the	the	DET
app01-7216	29	22	assumption	assumption	NOUN
app01-7216	29	23	of	of	ADP
app01-7216	29	24	planarity	planarity	NOUN
app01-7216	29	25	of	of	ADP
app01-7216	29	26	the	the	DET
app01-7216	29	27	deformed	deform	VERB
app01-7216	29	28	section	section	NOUN
app01-7216	29	29	and	and	CCONJ
app01-7216	29	30	of	of	ADP
app01-7216	29	31	its	its	PRON
app01-7216	29	32	perpendicularity	perpendicularity	NOUN
app01-7216	29	33	to	to	ADP
app01-7216	29	34	the	the	DET
app01-7216	29	35	deformed	deform	VERB
app01-7216	29	36	centerline	centerline	NOUN
app01-7216	29	37	implies	imply	VERB
app01-7216	29	38	that	that	SCONJ
app01-7216	29	39	the	the	DET
app01-7216	29	40	rotation	rotation	NOUN
app01-7216	29	41	angle	angle	NOUN
app01-7216	29	42	is	be	AUX
app01-7216	29	43	linked	link	VERB
app01-7216	29	44	to	to	ADP
app01-7216	29	45	the	the	DET
app01-7216	29	46	centerline	centerline	NOUN
app01-7216	29	47	displacements	displacement	NOUN
app01-7216	29	48	by	by	ADP
app01-7216	29	49	the	the	DET
app01-7216	29	50	relation	relation	NOUN
app01-7216	29	51	tan	tan	PROPN
app01-7216	29	52	ϕ	ϕ	PROPN
app01-7216	30	1	=	=	PUNCT
app01-7216	30	2	−	−	PROPN
app01-7216	30	3	dws	dws	PROPN
app01-7216	30	4	dx	dx	PROPN
app01-7216	30	5	+	+	PROPN
app01-7216	30	6	dus	dus	PROPN
app01-7216	30	7	=	=	PUNCT
app01-7216	31	1	−	−	PROPN
app01-7216	31	2	w′	w′	NOUN
app01-7216	31	3	s	s	PART
app01-7216	31	4	1	1	NUM
app01-7216	31	5	+	+	NUM
app01-7216	31	6	u′	u′	PROPN
app01-7216	31	7	s	s	X
app01-7216	31	8	(	(	PUNCT
app01-7216	31	9	2	2	NUM
app01-7216	31	10	)	)	PUNCT
app01-7216	31	11	87	87	NUM
app01-7216	32	1	http://dx.doi.org/10.14311/app.2021.30.0087	http://dx.doi.org/10.14311/app.2021.30.0087	PROPN
app01-7216	32	2	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-7216	32	3	e.	e.	PROPN
app01-7216	32	4	la	la	PROPN
app01-7216	32	5	malfa	malfa	PROPN
app01-7216	32	6	ribolla	ribolla	PROPN
app01-7216	32	7	,	,	PUNCT
app01-7216	32	8	m.	m.	NOUN
app01-7216	32	9	jirásek	jirásek	NOUN
app01-7216	32	10	,	,	PUNCT
app01-7216	32	11	m.	m.	PROPN
app01-7216	32	12	horák	horák	PROPN
app01-7216	32	13	acta	acta	PROPN
app01-7216	32	14	polytechnica	polytechnica	PROPN
app01-7216	32	15	ctu	ctu	PROPN
app01-7216	32	16	proceedings	proceeding	NOUN
app01-7216	32	17	figure	figure	VERB
app01-7216	32	18	1	1	NUM
app01-7216	32	19	.	.	PUNCT
app01-7216	33	1	kinematics	kinematic	NOUN
app01-7216	33	2	of	of	ADP
app01-7216	33	3	deformation	deformation	NOUN
app01-7216	33	4	of	of	ADP
app01-7216	33	5	the	the	DET
app01-7216	33	6	presented	present	VERB
app01-7216	33	7	nonlinear	nonlinear	PROPN
app01-7216	33	8	beam	beam	PROPN
app01-7216	33	9	model	model	NOUN
app01-7216	33	10	.	.	PUNCT
app01-7216	34	1	and	and	CCONJ
app01-7216	34	2	that	that	SCONJ
app01-7216	34	3	the	the	DET
app01-7216	34	4	displacements	displacement	NOUN
app01-7216	34	5	of	of	ADP
app01-7216	34	6	a	a	DET
app01-7216	34	7	general	general	ADJ
app01-7216	34	8	point	point	NOUN
app01-7216	34	9	with	with	ADP
app01-7216	34	10	coordinate	coordinate	NOUN
app01-7216	34	11	z	z	NOUN
app01-7216	34	12	can	can	AUX
app01-7216	34	13	be	be	AUX
app01-7216	34	14	expressed	express	VERB
app01-7216	34	15	as	as	ADP
app01-7216	34	16	u	u	X
app01-7216	34	17	=	=	PROPN
app01-7216	34	18	us	we	PRON
app01-7216	34	19	+	+	CCONJ
app01-7216	34	20	z	z	NOUN
app01-7216	34	21	sin	sin	NOUN
app01-7216	34	22	ϕ	ϕ	NOUN
app01-7216	34	23	(	(	PUNCT
app01-7216	34	24	3	3	NUM
app01-7216	34	25	)	)	PUNCT
app01-7216	34	26	w	w	NOUN
app01-7216	34	27	=	=	SYM
app01-7216	34	28	ws	ws	PROPN
app01-7216	34	29	−	−	PROPN
app01-7216	34	30	z(1	z(1	PROPN
app01-7216	34	31	−	−	PROPN
app01-7216	34	32	cos	cos	PROPN
app01-7216	34	33	ϕ	ϕ	PROPN
app01-7216	34	34	)	)	PUNCT
app01-7216	34	35	(	(	PUNCT
app01-7216	34	36	4	4	X
app01-7216	34	37	)	)	PUNCT
app01-7216	34	38	in	in	ADP
app01-7216	34	39	contrast	contrast	NOUN
app01-7216	34	40	to	to	ADP
app01-7216	34	41	the	the	DET
app01-7216	34	42	geometrically	geometrically	ADV
app01-7216	34	43	linear	linear	ADJ
app01-7216	34	44	beam	beam	NOUN
app01-7216	34	45	model	model	NOUN
app01-7216	34	46	with	with	ADP
app01-7216	34	47	u	u	X
app01-7216	34	48	=	=	PUNCT
app01-7216	34	49	us	we	PRON
app01-7216	34	50	+	+	CCONJ
app01-7216	34	51	zϕ	zϕ	PROPN
app01-7216	34	52	and	and	CCONJ
app01-7216	34	53	w	w	PROPN
app01-7216	34	54	=	=	SYM
app01-7216	34	55	ws	ws	PROPN
app01-7216	34	56	,	,	PUNCT
app01-7216	34	57	here	here	ADV
app01-7216	34	58	the	the	DET
app01-7216	34	59	vertical	vertical	ADJ
app01-7216	34	60	displacement	displacement	NOUN
app01-7216	34	61	varies	vary	VERB
app01-7216	34	62	along	along	ADP
app01-7216	34	63	the	the	DET
app01-7216	34	64	height	height	NOUN
app01-7216	34	65	of	of	ADP
app01-7216	34	66	the	the	DET
app01-7216	34	67	section	section	NOUN
app01-7216	34	68	.	.	PUNCT
app01-7216	35	1	however	however	ADV
app01-7216	35	2	,	,	PUNCT
app01-7216	35	3	the	the	DET
app01-7216	35	4	change	change	NOUN
app01-7216	35	5	of	of	ADP
app01-7216	35	6	distance	distance	NOUN
app01-7216	35	7	from	from	ADP
app01-7216	35	8	the	the	DET
app01-7216	35	9	centerline	centerline	NOUN
app01-7216	35	10	due	due	ADP
app01-7216	35	11	to	to	ADP
app01-7216	35	12	deformation	deformation	NOUN
app01-7216	35	13	perpendicular	perpendicular	NOUN
app01-7216	35	14	to	to	ADP
app01-7216	35	15	the	the	DET
app01-7216	35	16	beam	beam	NOUN
app01-7216	35	17	axis	axis	NOUN
app01-7216	35	18	is	be	AUX
app01-7216	35	19	still	still	ADV
app01-7216	35	20	neglected	neglect	VERB
app01-7216	35	21	.	.	PUNCT
app01-7216	36	1	differentiating	differentiate	VERB
app01-7216	36	2	(	(	PUNCT
app01-7216	36	3	3)–(4	3)–(4	NUM
app01-7216	36	4	)	)	PUNCT
app01-7216	36	5	with	with	ADP
app01-7216	36	6	respect	respect	NOUN
app01-7216	36	7	to	to	ADP
app01-7216	36	8	x	x	SYM
app01-7216	36	9	,	,	PUNCT
app01-7216	36	10	we	we	PRON
app01-7216	36	11	obtain	obtain	VERB
app01-7216	36	12	u′	u′	PROPN
app01-7216	36	13	=	=	SYM
app01-7216	36	14	u′	u′	X
app01-7216	36	15	s	s	PART
app01-7216	36	16	+	+	NOUN
app01-7216	36	17	z	z	PROPN
app01-7216	36	18	cos	cos	PROPN
app01-7216	36	19	ϕ	ϕ	PROPN
app01-7216	36	20	·	·	PUNCT
app01-7216	36	21	ϕ′	ϕ′	X
app01-7216	37	1	(	(	PUNCT
app01-7216	37	2	5	5	NUM
app01-7216	37	3	)	)	PUNCT
app01-7216	37	4	w′	w′	NOUN
app01-7216	38	1	=	=	PUNCT
app01-7216	38	2	w′	w′	PROPN
app01-7216	38	3	s	s	X
app01-7216	38	4	−	−	PROPN
app01-7216	38	5	z	z	PROPN
app01-7216	38	6	sin	sin	NOUN
app01-7216	38	7	ϕ	ϕ	X
app01-7216	38	8	·	·	PUNCT
app01-7216	38	9	ϕ′	ϕ′	X
app01-7216	38	10	(	(	PUNCT
app01-7216	38	11	6	6	NUM
app01-7216	38	12	)	)	PUNCT
app01-7216	38	13	and	and	CCONJ
app01-7216	38	14	we	we	PRON
app01-7216	38	15	can	can	AUX
app01-7216	38	16	express	express	VERB
app01-7216	38	17	the	the	DET
app01-7216	38	18	longitudinal	longitudinal	ADJ
app01-7216	38	19	stretch	stretch	NOUN
app01-7216	38	20	at	at	ADP
app01-7216	38	21	an	an	DET
app01-7216	38	22	arbitrary	arbitrary	ADJ
app01-7216	38	23	location	location	NOUN
app01-7216	38	24	λ	λ	NOUN
app01-7216	38	25	=	=	PUNCT
app01-7216	38	26	!	!	PUNCT
app01-7216	39	1	(	(	PUNCT
app01-7216	39	2	1	1	X
app01-7216	39	3	+	+	CCONJ
app01-7216	39	4	u′)2	u′)2	ADJ
app01-7216	39	5	+	+	NUM
app01-7216	39	6	w′2	w′2	NOUN
app01-7216	39	7	=	=	PUNCT
app01-7216	40	1	=	=	PUNCT
app01-7216	40	2	!	!	PUNCT
app01-7216	41	1	λ2	λ2	NOUN
app01-7216	41	2	s	s	PART
app01-7216	41	3	+	+	NUM
app01-7216	41	4	2zλsϕ′	2zλsϕ′	NUM
app01-7216	41	5	+	+	CCONJ
app01-7216	41	6	z2ϕ′2	z2ϕ′2	NOUN
app01-7216	41	7	=	=	SYM
app01-7216	41	8	λs	λs	NOUN
app01-7216	42	1	+	+	NUM
app01-7216	42	2	zϕ′	zϕ′	X
app01-7216	42	3	(	(	PUNCT
app01-7216	42	4	7	7	X
app01-7216	42	5	)	)	PUNCT
app01-7216	42	6	it	it	PRON
app01-7216	42	7	is	be	AUX
app01-7216	42	8	worth	worth	ADJ
app01-7216	42	9	noting	note	VERB
app01-7216	42	10	that	that	SCONJ
app01-7216	42	11	the	the	DET
app01-7216	42	12	stretch	stretch	NOUN
app01-7216	42	13	is	be	AUX
app01-7216	42	14	a	a	DET
app01-7216	42	15	linear	linear	ADJ
app01-7216	42	16	function	function	NOUN
app01-7216	42	17	of	of	ADP
app01-7216	42	18	the	the	DET
app01-7216	42	19	spatial	spatial	ADJ
app01-7216	42	20	coordinate	coordinate	NOUN
app01-7216	42	21	z.	z.	PROPN
app01-7216	43	1	consequently	consequently	ADV
app01-7216	43	2	,	,	PUNCT
app01-7216	43	3	if	if	SCONJ
app01-7216	43	4	we	we	PRON
app01-7216	43	5	use	use	VERB
app01-7216	43	6	a	a	DET
app01-7216	43	7	linear	linear	ADJ
app01-7216	43	8	stress	stress	NOUN
app01-7216	43	9	-	-	PUNCT
app01-7216	43	10	strain	strain	NOUN
app01-7216	43	11	law	law	NOUN
app01-7216	43	12	formulated	formulate	VERB
app01-7216	43	13	in	in	ADP
app01-7216	43	14	terms	term	NOUN
app01-7216	43	15	of	of	ADP
app01-7216	43	16	the	the	DET
app01-7216	43	17	biot	biot	ADJ
app01-7216	43	18	strain	strain	NOUN
app01-7216	43	19	defined	define	VERB
app01-7216	43	20	as	as	ADP
app01-7216	43	21	ε	ε	PROPN
app01-7216	43	22	=	=	SYM
app01-7216	43	23	λ	λ	PROPN
app01-7216	43	24	−	−	PROPN
app01-7216	43	25	1	1	NUM
app01-7216	43	26	,	,	PUNCT
app01-7216	43	27	the	the	DET
app01-7216	43	28	resulting	result	VERB
app01-7216	43	29	work	work	NOUN
app01-7216	43	30	-	-	PUNCT
app01-7216	43	31	conjugate	conjugate	NOUN
app01-7216	43	32	stress	stress	NOUN
app01-7216	43	33	will	will	AUX
app01-7216	43	34	be	be	AUX
app01-7216	43	35	a	a	DET
app01-7216	43	36	linear	linear	ADJ
app01-7216	43	37	function	function	NOUN
app01-7216	43	38	of	of	ADP
app01-7216	43	39	z	z	PROPN
app01-7216	43	40	,	,	PUNCT
app01-7216	43	41	too	too	ADV
app01-7216	43	42	.	.	PUNCT
app01-7216	44	1	the	the	DET
app01-7216	44	2	choice	choice	NOUN
app01-7216	44	3	of	of	ADP
app01-7216	44	4	working	work	VERB
app01-7216	44	5	with	with	ADP
app01-7216	44	6	linear	linear	ADJ
app01-7216	44	7	stress	stress	NOUN
app01-7216	44	8	-	-	PUNCT
app01-7216	44	9	strain	strain	NOUN
app01-7216	44	10	relation	relation	NOUN
app01-7216	44	11	between	between	ADP
app01-7216	44	12	the	the	DET
app01-7216	44	13	biot	biot	ADJ
app01-7216	44	14	strain	strain	NOUN
app01-7216	44	15	and	and	CCONJ
app01-7216	44	16	stress	stress	NOUN
app01-7216	44	17	can	can	AUX
app01-7216	44	18	be	be	AUX
app01-7216	44	19	justified	justify	VERB
app01-7216	44	20	in	in	ADP
app01-7216	44	21	a	a	DET
app01-7216	44	22	regime	regime	NOUN
app01-7216	44	23	where	where	SCONJ
app01-7216	44	24	the	the	DET
app01-7216	44	25	strains	strain	NOUN
app01-7216	44	26	are	be	AUX
app01-7216	44	27	assumed	assume	VERB
app01-7216	44	28	to	to	PART
app01-7216	44	29	remain	remain	VERB
app01-7216	44	30	small	small	ADJ
app01-7216	44	31	.	.	PUNCT
app01-7216	45	1	making	make	VERB
app01-7216	45	2	use	use	NOUN
app01-7216	45	3	of	of	ADP
app01-7216	45	4	(	(	PUNCT
app01-7216	45	5	7	7	NUM
app01-7216	45	6	)	)	PUNCT
app01-7216	45	7	,	,	PUNCT
app01-7216	45	8	we	we	PRON
app01-7216	45	9	can	can	AUX
app01-7216	45	10	express	express	VERB
app01-7216	45	11	the	the	DET
app01-7216	45	12	biot	biot	ADJ
app01-7216	45	13	strain	strain	NOUN
app01-7216	45	14	as	as	ADP
app01-7216	45	15	ε	ε	PROPN
app01-7216	45	16	=	=	SYM
app01-7216	45	17	λ	λ	X
app01-7216	45	18	−	−	NOUN
app01-7216	45	19	1	1	NUM
app01-7216	45	20	=	=	SYM
app01-7216	45	21	λs	λs	NOUN
app01-7216	45	22	−	−	NUM
app01-7216	45	23	1	1	NUM
app01-7216	46	1	+	+	NOUN
app01-7216	46	2	zϕ′	zϕ′	NUM
app01-7216	46	3	=	=	PUNCT
app01-7216	47	1	εs	εs	ADP
app01-7216	47	2	+	+	X
app01-7216	47	3	zκ	zκ	PROPN
app01-7216	47	4	(	(	PUNCT
app01-7216	47	5	8)	8)	NUM
app01-7216	47	6	where	where	SCONJ
app01-7216	47	7	εs	εs	ADP
app01-7216	47	8	=	=	PUNCT
app01-7216	47	9	λs	λs	NOUN
app01-7216	47	10	−	−	PROPN
app01-7216	47	11	1	1	NUM
app01-7216	47	12	=	=	PUNCT
app01-7216	47	13	!	!	PUNCT
app01-7216	48	1	(	(	PUNCT
app01-7216	48	2	1	1	NUM
app01-7216	48	3	+	+	NUM
app01-7216	48	4	u′	u′	PROPN
app01-7216	48	5	s)2	s)2	NOUN
app01-7216	48	6	+	+	NUM
app01-7216	48	7	w′2	w′2	X
app01-7216	48	8	s	s	PART
app01-7216	48	9	−	−	PROPN
app01-7216	48	10	1	1	NUM
app01-7216	48	11	(	(	PUNCT
app01-7216	48	12	9	9	NUM
app01-7216	48	13	)	)	PUNCT
app01-7216	48	14	is	be	AUX
app01-7216	48	15	the	the	DET
app01-7216	48	16	strain	strain	NOUN
app01-7216	48	17	at	at	ADP
app01-7216	48	18	the	the	DET
app01-7216	48	19	centerline	centerline	NOUN
app01-7216	48	20	and	and	CCONJ
app01-7216	48	21	κ	κ	NOUN
app01-7216	48	22	=	=	PUNCT
app01-7216	48	23	ϕ′	ϕ′	X
app01-7216	48	24	(	(	PUNCT
app01-7216	48	25	10	10	NUM
app01-7216	48	26	)	)	PUNCT
app01-7216	48	27	is	be	AUX
app01-7216	48	28	the	the	DET
app01-7216	48	29	curvature	curvature	NOUN
app01-7216	48	30	.	.	PUNCT
app01-7216	49	1	2.2	2.2	NUM
app01-7216	49	2	.	.	PUNCT
app01-7216	49	3	stress	stress	NOUN
app01-7216	49	4	resultants	resultant	NOUN
app01-7216	49	5	and	and	CCONJ
app01-7216	49	6	equilibrium	equilibrium	NOUN
app01-7216	49	7	based	base	VERB
app01-7216	49	8	on	on	ADP
app01-7216	49	9	(	(	PUNCT
app01-7216	49	10	8)	8)	NUM
app01-7216	49	11	combined	combine	VERB
app01-7216	49	12	with	with	ADP
app01-7216	49	13	hooke	hooke	PROPN
app01-7216	49	14	’s	’s	PART
app01-7216	49	15	law	law	NOUN
app01-7216	49	16	σ	σ	NOUN
app01-7216	49	17	=	=	PUNCT
app01-7216	49	18	e	e	PROPN
app01-7216	49	19	ε	ε	PROPN
app01-7216	49	20	,	,	PUNCT
app01-7216	49	21	quantities	quantity	NOUN
app01-7216	49	22	εs	εs	VERB
app01-7216	49	23	and	and	CCONJ
app01-7216	49	24	κ	κ	PRON
app01-7216	49	25	that	that	PRON
app01-7216	49	26	characterize	characterize	VERB
app01-7216	49	27	the	the	DET
app01-7216	49	28	deformation	deformation	NOUN
app01-7216	49	29	of	of	ADP
app01-7216	49	30	an	an	DET
app01-7216	49	31	infinitesimal	infinitesimal	ADJ
app01-7216	49	32	beam	beam	NOUN
app01-7216	49	33	segment	segment	NOUN
app01-7216	49	34	can	can	AUX
app01-7216	49	35	be	be	AUX
app01-7216	49	36	linked	link	VERB
app01-7216	49	37	to	to	ADP
app01-7216	49	38	the	the	DET
app01-7216	49	39	normal	normal	ADJ
app01-7216	49	40	force	force	NOUN
app01-7216	49	41	n	n	NOUN
app01-7216	49	42	and	and	CCONJ
app01-7216	49	43	bending	bend	VERB
app01-7216	49	44	moment	moment	NOUN
app01-7216	49	45	m	m	VERB
app01-7216	49	46	by	by	ADP
app01-7216	49	47	the	the	DET
app01-7216	49	48	standard	standard	ADJ
app01-7216	49	49	linear	linear	PROPN
app01-7216	49	50	relations	relation	NOUN
app01-7216	49	51	n	n	NOUN
app01-7216	49	52	=	=	PUNCT
app01-7216	49	53	"	"	PUNCT
app01-7216	49	54	a	a	DET
app01-7216	49	55	σ	σ	X
app01-7216	49	56	da	da	X
app01-7216	49	57	=	=	PUNCT
app01-7216	49	58	"	"	PUNCT
app01-7216	49	59	a	a	DET
app01-7216	49	60	e(εs	e(εs	PROPN
app01-7216	49	61	+	+	CCONJ
app01-7216	49	62	zκ	zκ	NOUN
app01-7216	49	63	)	)	PUNCT
app01-7216	49	64	da	da	PROPN
app01-7216	49	65	=	=	PUNCT
app01-7216	49	66	ea	ea	PROPN
app01-7216	49	67	εs	εs	ADP
app01-7216	49	68	(	(	PUNCT
app01-7216	49	69	11	11	NUM
app01-7216	49	70	)	)	PUNCT
app01-7216	49	71	m	m	VERB
app01-7216	49	72	=	=	PUNCT
app01-7216	49	73	"	"	PUNCT
app01-7216	49	74	a	a	DET
app01-7216	49	75	zσ	zσ	NOUN
app01-7216	49	76	da	da	NOUN
app01-7216	49	77	=	=	PUNCT
app01-7216	49	78	"	"	PUNCT
app01-7216	49	79	a	a	DET
app01-7216	49	80	ez(εs	ez(εs	NOUN
app01-7216	49	81	+	+	CCONJ
app01-7216	49	82	zκ	zκ	NOUN
app01-7216	49	83	)	)	PUNCT
app01-7216	49	84	da	da	PROPN
app01-7216	49	85	=	=	PUNCT
app01-7216	49	86	ei	ei	X
app01-7216	49	87	κ	κ	X
app01-7216	49	88	(	(	PUNCT
app01-7216	49	89	12	12	NUM
app01-7216	49	90	)	)	PUNCT
app01-7216	49	91	in	in	ADP
app01-7216	49	92	which	which	PRON
app01-7216	49	93	ea	ea	PRON
app01-7216	49	94	is	be	VERB
app01-7216	49	95	the	the	DET
app01-7216	49	96	sectional	sectional	ADJ
app01-7216	49	97	axial	axial	ADJ
app01-7216	49	98	stiffness	stiffness	NOUN
app01-7216	49	99	and	and	CCONJ
app01-7216	49	100	ei	ei	NOUN
app01-7216	49	101	is	be	AUX
app01-7216	49	102	the	the	DET
app01-7216	49	103	sectional	sectional	ADJ
app01-7216	49	104	bending	bending	NOUN
app01-7216	49	105	stiffness	stiffness	NOUN
app01-7216	49	106	.	.	PUNCT
app01-7216	50	1	as	as	ADP
app01-7216	50	2	usual	usual	ADJ
app01-7216	50	3	,	,	PUNCT
app01-7216	50	4	e	e	PROPN
app01-7216	50	5	denotes	denote	VERB
app01-7216	50	6	young	young	PROPN
app01-7216	50	7	’s	’s	PART
app01-7216	50	8	modulus	modulus	NOUN
app01-7216	50	9	,	,	PUNCT
app01-7216	50	10	a	a	PRON
app01-7216	50	11	is	be	AUX
app01-7216	50	12	the	the	DET
app01-7216	50	13	sectional	sectional	ADJ
app01-7216	50	14	area	area	NOUN
app01-7216	50	15	and	and	CCONJ
app01-7216	50	16	i	i	PRON
app01-7216	50	17	is	be	AUX
app01-7216	50	18	the	the	DET
app01-7216	50	19	sectional	sectional	ADJ
app01-7216	50	20	moment	moment	NOUN
app01-7216	50	21	of	of	ADP
app01-7216	50	22	inertia	inertia	NOUN
app01-7216	50	23	.	.	PUNCT
app01-7216	51	1	the	the	DET
app01-7216	51	2	structure	structure	NOUN
app01-7216	51	3	is	be	AUX
app01-7216	51	4	assumed	assume	VERB
app01-7216	51	5	to	to	PART
app01-7216	51	6	be	be	AUX
app01-7216	51	7	loaded	load	VERB
app01-7216	51	8	only	only	ADV
app01-7216	51	9	at	at	ADP
app01-7216	51	10	its	its	PRON
app01-7216	51	11	joints	joint	NOUN
app01-7216	51	12	,	,	PUNCT
app01-7216	51	13	i.e.	i.e.	X
app01-7216	51	14	,	,	PUNCT
app01-7216	51	15	no	no	DET
app01-7216	51	16	external	external	ADJ
app01-7216	51	17	loads	load	NOUN
app01-7216	51	18	are	be	AUX
app01-7216	51	19	applied	apply	VERB
app01-7216	51	20	on	on	ADP
app01-7216	51	21	individual	individual	ADJ
app01-7216	51	22	beams	beam	NOUN
app01-7216	51	23	,	,	PUNCT
app01-7216	51	24	and	and	CCONJ
app01-7216	51	25	so	so	ADV
app01-7216	51	26	the	the	DET
app01-7216	51	27	internal	internal	ADJ
app01-7216	51	28	forces	force	NOUN
app01-7216	51	29	in	in	ADP
app01-7216	51	30	each	each	DET
app01-7216	51	31	beam	beam	NOUN
app01-7216	51	32	can	can	AUX
app01-7216	51	33	be	be	AUX
app01-7216	51	34	expressed	express	VERB
app01-7216	51	35	in	in	ADP
app01-7216	51	36	terms	term	NOUN
app01-7216	51	37	of	of	ADP
app01-7216	51	38	the	the	DET
app01-7216	51	39	end	end	NOUN
app01-7216	51	40	forces	force	NOUN
app01-7216	51	41	and	and	CCONJ
app01-7216	51	42	moments	moment	NOUN
app01-7216	51	43	,	,	PUNCT
app01-7216	51	44	based	base	VERB
app01-7216	51	45	on	on	ADP
app01-7216	51	46	equilibrium	equilibrium	NOUN
app01-7216	51	47	conditions	condition	NOUN
app01-7216	51	48	written	write	VERB
app01-7216	51	49	for	for	ADP
app01-7216	51	50	the	the	DET
app01-7216	51	51	deformed	deform	VERB
app01-7216	51	52	configuration	configuration	NOUN
app01-7216	51	53	.	.	PUNCT
app01-7216	52	1	from	from	ADP
app01-7216	52	2	equilibrium	equilibrium	NOUN
app01-7216	52	3	of	of	ADP
app01-7216	52	4	the	the	DET
app01-7216	52	5	finite	finite	ADJ
app01-7216	52	6	beam	beam	NOUN
app01-7216	52	7	segment	segment	NOUN
app01-7216	52	8	between	between	ADP
app01-7216	52	9	the	the	DET
app01-7216	52	10	left	left	ADJ
app01-7216	52	11	end	end	NOUN
app01-7216	52	12	section	section	NOUN
app01-7216	52	13	and	and	CCONJ
app01-7216	52	14	a	a	DET
app01-7216	52	15	generic	generic	ADJ
app01-7216	52	16	section	section	NOUN
app01-7216	52	17	x	x	PRON
app01-7216	52	18	,	,	PUNCT
app01-7216	52	19	one	one	NUM
app01-7216	52	20	can	can	AUX
app01-7216	52	21	,	,	PUNCT
app01-7216	52	22	according	accord	VERB
app01-7216	52	23	to	to	ADP
app01-7216	52	24	fig	fig	NOUN
app01-7216	52	25	.	.	PUNCT
app01-7216	53	1	2	2	NUM
app01-7216	53	2	,	,	PUNCT
app01-7216	53	3	derive	derive	ADJ
app01-7216	53	4	expressions	expression	NOUN
app01-7216	53	5	n(x	n(x	ADJ
app01-7216	53	6	)	)	PUNCT
app01-7216	53	7	=	=	SYM
app01-7216	53	8	−xab	−xab	NOUN
app01-7216	53	9	cos	cos	NOUN
app01-7216	53	10	ϕ(x	ϕ(x	PROPN
app01-7216	53	11	)	)	PUNCT
app01-7216	54	1	+	+	CCONJ
app01-7216	54	2	zab	zab	PROPN
app01-7216	54	3	sin	sin	NOUN
app01-7216	54	4	ϕ(x	ϕ(x	PROPN
app01-7216	54	5	)	)	PUNCT
app01-7216	54	6	(	(	PUNCT
app01-7216	54	7	13	13	NUM
app01-7216	54	8	)	)	PUNCT
app01-7216	54	9	m(x	m(x	NOUN
app01-7216	54	10	)	)	PUNCT
app01-7216	54	11	=	=	PUNCT
app01-7216	54	12	−mab	−mab	X
app01-7216	55	1	+	+	CCONJ
app01-7216	55	2	xabws(x	xabws(x	NUM
app01-7216	55	3	)	)	PUNCT
app01-7216	56	1	−	−	PROPN
app01-7216	57	1	zab(x	zab(x	PROPN
app01-7216	57	2	+	+	CCONJ
app01-7216	57	3	us(x	us(x	NUM
app01-7216	57	4	)	)	PUNCT
app01-7216	57	5	)	)	PUNCT
app01-7216	58	1	(	(	PUNCT
app01-7216	58	2	14	14	NUM
app01-7216	58	3	)	)	PUNCT
app01-7216	58	4	in	in	ADP
app01-7216	58	5	which	which	PRON
app01-7216	58	6	xab	xab	PROPN
app01-7216	58	7	,	,	PUNCT
app01-7216	58	8	and	and	CCONJ
app01-7216	58	9	zab	zab	PROPN
app01-7216	58	10	are	be	AUX
app01-7216	58	11	the	the	DET
app01-7216	58	12	left	left	ADJ
app01-7216	58	13	-	-	PUNCT
app01-7216	58	14	end	end	NOUN
app01-7216	58	15	forces	force	NOUN
app01-7216	58	16	(	(	PUNCT
app01-7216	58	17	positive	positive	ADJ
app01-7216	58	18	to	to	ADP
app01-7216	58	19	the	the	DET
app01-7216	58	20	right	right	NOUN
app01-7216	58	21	and	and	CCONJ
app01-7216	58	22	downwards	downward	NOUN
app01-7216	58	23	)	)	PUNCT
app01-7216	58	24	and	and	CCONJ
app01-7216	58	25	mab	mab	PROPN
app01-7216	58	26	is	be	AUX
app01-7216	58	27	the	the	DET
app01-7216	58	28	left	left	ADJ
app01-7216	58	29	-	-	PUNCT
app01-7216	58	30	end	end	NOUN
app01-7216	58	31	moment	moment	NOUN
app01-7216	58	32	(	(	PUNCT
app01-7216	58	33	positive	positive	ADJ
app01-7216	58	34	counterclockwise	counterclockwise	NOUN
app01-7216	58	35	)	)	PUNCT
app01-7216	58	36	.	.	PUNCT
app01-7216	59	1	for	for	ADP
app01-7216	59	2	the	the	DET
app01-7216	59	3	sake	sake	NOUN
app01-7216	59	4	of	of	ADP
app01-7216	59	5	brevity	brevity	NOUN
app01-7216	59	6	,	,	PUNCT
app01-7216	59	7	we	we	PRON
app01-7216	59	8	will	will	AUX
app01-7216	59	9	consider	consider	VERB
app01-7216	59	10	the	the	DET
app01-7216	59	11	moment	moment	NOUN
app01-7216	59	12	as	as	ADP
app01-7216	59	13	one	one	NUM
app01-7216	59	14	of	of	ADP
app01-7216	59	15	the	the	DET
app01-7216	59	16	(	(	PUNCT
app01-7216	59	17	generalized	generalized	ADJ
app01-7216	59	18	)	)	PUNCT
app01-7216	59	19	forces	force	NOUN
app01-7216	59	20	,	,	PUNCT
app01-7216	59	21	and	and	CCONJ
app01-7216	59	22	,	,	PUNCT
app01-7216	59	23	in	in	ADP
app01-7216	59	24	a	a	DET
app01-7216	59	25	similar	similar	ADJ
app01-7216	59	26	spirit	spirit	NOUN
app01-7216	59	27	,	,	PUNCT
app01-7216	59	28	the	the	DET
app01-7216	59	29	rotation	rotation	NOUN
app01-7216	59	30	as	as	ADP
app01-7216	59	31	one	one	NUM
app01-7216	59	32	of	of	ADP
app01-7216	59	33	the	the	DET
app01-7216	59	34	(	(	PUNCT
app01-7216	59	35	generalized	generalized	ADJ
app01-7216	59	36	)	)	PUNCT
app01-7216	59	37	displacements	displacement	NOUN
app01-7216	59	38	.	.	PUNCT
app01-7216	60	1	since	since	SCONJ
app01-7216	60	2	the	the	DET
app01-7216	60	3	internal	internal	ADJ
app01-7216	60	4	forces	force	NOUN
app01-7216	60	5	are	be	AUX
app01-7216	60	6	involved	involve	VERB
app01-7216	60	7	only	only	ADV
app01-7216	60	8	algebraically	algebraically	ADV
app01-7216	60	9	,	,	PUNCT
app01-7216	60	10	they	they	PRON
app01-7216	60	11	can	can	AUX
app01-7216	60	12	be	be	AUX
app01-7216	60	13	easily	easily	ADV
app01-7216	60	14	eliminated	eliminate	VERB
app01-7216	60	15	and	and	CCONJ
app01-7216	60	16	equations	equation	NOUN
app01-7216	60	17	(	(	PUNCT
app01-7216	60	18	2	2	NUM
app01-7216	60	19	)	)	PUNCT
app01-7216	60	20	and	and	CCONJ
app01-7216	60	21	(	(	PUNCT
app01-7216	60	22	9)–(14	9)–(14	NOUN
app01-7216	60	23	)	)	PUNCT
app01-7216	60	24	can	can	AUX
app01-7216	60	25	be	be	AUX
app01-7216	60	26	converted	convert	VERB
app01-7216	60	27	into	into	ADP
app01-7216	60	28	the	the	DET
app01-7216	60	29	following	follow	VERB
app01-7216	60	30	set	set	NOUN
app01-7216	60	31	of	of	ADP
app01-7216	60	32	first	first	ADJ
app01-7216	60	33	-	-	PUNCT
app01-7216	60	34	order	order	NOUN
app01-7216	60	35	differential	differential	ADJ
app01-7216	60	36	equations	equation	NOUN
app01-7216	60	37	for	for	ADP
app01-7216	60	38	unknown	unknown	ADJ
app01-7216	60	39	functions	function	NOUN
app01-7216	60	40	us	we	PRON
app01-7216	60	41	,	,	PUNCT
app01-7216	60	42	ws	ws	PROPN
app01-7216	60	43	and	and	CCONJ
app01-7216	60	44	ϕ	ϕ	NOUN
app01-7216	60	45	:	:	PUNCT
app01-7216	61	1	ϕ′(x	ϕ′(x	NUM
app01-7216	61	2	)	)	PUNCT
app01-7216	61	3	=	=	PUNCT
app01-7216	61	4	−mab	−mab	X
app01-7216	62	1	+	+	CCONJ
app01-7216	62	2	xabws(x	xabws(x	NUM
app01-7216	62	3	)	)	PUNCT
app01-7216	63	1	−	−	PROPN
app01-7216	64	1	zab(x	zab(x	PROPN
app01-7216	64	2	+	+	CCONJ
app01-7216	64	3	us(x	us(x	NUM
app01-7216	64	4	)	)	PUNCT
app01-7216	64	5	)	)	PUNCT
app01-7216	65	1	ei	ei	NOUN
app01-7216	65	2	(	(	PUNCT
app01-7216	65	3	15	15	NUM
app01-7216	65	4	)	)	PUNCT
app01-7216	65	5	u′	u′	PROPN
app01-7216	65	6	s(x	s(x	PROPN
app01-7216	65	7	)	)	PUNCT
app01-7216	65	8	=	=	SYM
app01-7216	65	9	−1	−1	NOUN
app01-7216	66	1	+	+	CCONJ
app01-7216	66	2	cos	cos	PROPN
app01-7216	66	3	ϕ(x)+	ϕ(x)+	ADJ
app01-7216	66	4	+	+	NUM
app01-7216	66	5	−xab	−xab	NOUN
app01-7216	66	6	cos	cos	NOUN
app01-7216	66	7	ϕ(x	ϕ(x	PROPN
app01-7216	66	8	)	)	PUNCT
app01-7216	67	1	+	+	CCONJ
app01-7216	67	2	zab	zab	PROPN
app01-7216	67	3	sin	sin	NOUN
app01-7216	67	4	ϕ(x	ϕ(x	PROPN
app01-7216	67	5	)	)	PUNCT
app01-7216	67	6	ea	ea	PROPN
app01-7216	67	7	cos	cos	PROPN
app01-7216	67	8	ϕ(x	ϕ(x	PROPN
app01-7216	67	9	)	)	PUNCT
app01-7216	67	10	(	(	PUNCT
app01-7216	67	11	16	16	NUM
app01-7216	67	12	)	)	PUNCT
app01-7216	67	13	88	88	NUM
app01-7216	67	14	vol	vol	NOUN
app01-7216	67	15	.	.	PUNCT
app01-7216	67	16	30/2021	30/2021	NUM
app01-7216	67	17	beam	beam	NOUN
app01-7216	67	18	element	element	NOUN
app01-7216	67	19	under	under	ADP
app01-7216	67	20	finite	finite	ADJ
app01-7216	67	21	rotations	rotation	NOUN
app01-7216	67	22	m(x	m(x	NOUN
app01-7216	67	23	)	)	PUNCT
app01-7216	67	24	n(x	n(x	PROPN
app01-7216	67	25	)	)	PUNCT
app01-7216	67	26	x	x	X
app01-7216	67	27	z	z	PROPN
app01-7216	67	28	xab	xab	PROPN
app01-7216	67	29	zab	zab	PROPN
app01-7216	67	30	mab	mab	PROPN
app01-7216	67	31	x	x	PUNCT
app01-7216	67	32	us	us	PROPN
app01-7216	67	33	ws	ws	NOUN
app01-7216	67	34	!	!	PUNCT
app01-7216	68	1	x̃	x̃	PROPN
app01-7216	68	2	z̃	z̃	PROPN
app01-7216	68	3	ã	ã	PROPN
app01-7216	68	4	a	a	DET
app01-7216	68	5	figure	figure	NOUN
app01-7216	68	6	2	2	NUM
app01-7216	68	7	.	.	PUNCT
app01-7216	68	8	schematic	schematic	ADJ
app01-7216	68	9	representation	representation	NOUN
app01-7216	68	10	of	of	ADP
app01-7216	68	11	beam	beam	ADJ
app01-7216	68	12	internal	internal	ADJ
app01-7216	68	13	forces	force	NOUN
app01-7216	68	14	at	at	ADP
app01-7216	68	15	a	a	DET
app01-7216	68	16	general	general	PROPN
app01-7216	68	17	cross	cross	NOUN
app01-7216	68	18	section	section	NOUN
app01-7216	68	19	x	x	PUNCT
app01-7216	68	20	and	and	CCONJ
app01-7216	68	21	left	left	ADJ
app01-7216	68	22	-	-	PUNCT
app01-7216	68	23	end	end	NOUN
app01-7216	68	24	forces	force	NOUN
app01-7216	68	25	and	and	CCONJ
app01-7216	68	26	moment	moment	NOUN
app01-7216	68	27	.	.	PUNCT
app01-7216	69	1	w′	w′	PROPN
app01-7216	69	2	s(x	s(x	PROPN
app01-7216	69	3	)	)	PUNCT
app01-7216	70	1	=	=	SYM
app01-7216	71	1	−	−	PROPN
app01-7216	71	2	sin	sin	NOUN
app01-7216	71	3	ϕ(x)+	ϕ(x)+	NUM
app01-7216	71	4	+	+	NUM
app01-7216	71	5	xab	xab	PROPN
app01-7216	71	6	cos	cos	PROPN
app01-7216	71	7	ϕ(x	ϕ(x	PROPN
app01-7216	71	8	)	)	PUNCT
app01-7216	71	9	−	−	PROPN
app01-7216	71	10	zab	zab	PROPN
app01-7216	71	11	sin	sin	PROPN
app01-7216	71	12	ϕ(x	ϕ(x	PROPN
app01-7216	71	13	)	)	PUNCT
app01-7216	71	14	ea	ea	NOUN
app01-7216	71	15	sin	sin	NOUN
app01-7216	71	16	ϕ(x	ϕ(x	PROPN
app01-7216	71	17	)	)	PUNCT
app01-7216	71	18	(	(	PUNCT
app01-7216	71	19	17	17	NUM
app01-7216	71	20	)	)	PUNCT
app01-7216	71	21	these	these	DET
app01-7216	71	22	equations	equation	NOUN
app01-7216	71	23	are	be	AUX
app01-7216	71	24	accurate	accurate	ADJ
app01-7216	71	25	even	even	ADV
app01-7216	71	26	for	for	ADP
app01-7216	71	27	very	very	ADV
app01-7216	71	28	large	large	ADJ
app01-7216	71	29	rotations	rotation	NOUN
app01-7216	71	30	.	.	PUNCT
app01-7216	72	1	the	the	DET
app01-7216	72	2	only	only	ADJ
app01-7216	72	3	limitation	limitation	NOUN
app01-7216	72	4	is	be	AUX
app01-7216	72	5	that	that	SCONJ
app01-7216	72	6	the	the	DET
app01-7216	72	7	strain	strain	NOUN
app01-7216	72	8	remains	remain	VERB
app01-7216	72	9	small	small	ADJ
app01-7216	72	10	,	,	PUNCT
app01-7216	72	11	which	which	PRON
app01-7216	72	12	is	be	AUX
app01-7216	72	13	true	true	ADJ
app01-7216	72	14	if	if	SCONJ
app01-7216	72	15	εs	εs	ADP
app01-7216	72	16	≪	≪	ADJ
app01-7216	72	17	1	1	NUM
app01-7216	72	18	and	and	CCONJ
app01-7216	72	19	hκ	hκ	NOUN
app01-7216	72	20	≪	≪	ADJ
app01-7216	72	21	1	1	NUM
app01-7216	72	22	where	where	SCONJ
app01-7216	72	23	h	h	NOUN
app01-7216	72	24	is	be	AUX
app01-7216	72	25	the	the	DET
app01-7216	72	26	depth	depth	NOUN
app01-7216	72	27	of	of	ADP
app01-7216	72	28	the	the	DET
app01-7216	72	29	cross	cross	NOUN
app01-7216	72	30	section	section	NOUN
app01-7216	72	31	.	.	PUNCT
app01-7216	73	1	in	in	ADP
app01-7216	73	2	the	the	DET
app01-7216	73	3	context	context	NOUN
app01-7216	73	4	of	of	ADP
app01-7216	73	5	a	a	DET
app01-7216	73	6	finite	finite	ADJ
app01-7216	73	7	element	element	NOUN
app01-7216	73	8	analysis	analysis	NOUN
app01-7216	73	9	,	,	PUNCT
app01-7216	73	10	the	the	DET
app01-7216	73	11	joint	joint	ADJ
app01-7216	73	12	displacements	displacement	NOUN
app01-7216	73	13	are	be	AUX
app01-7216	73	14	global	global	ADJ
app01-7216	73	15	degrees	degree	NOUN
app01-7216	73	16	of	of	ADP
app01-7216	73	17	freedom	freedom	NOUN
app01-7216	73	18	that	that	PRON
app01-7216	73	19	are	be	AUX
app01-7216	73	20	determined	determine	VERB
app01-7216	73	21	by	by	ADP
app01-7216	73	22	equilibrium	equilibrium	NOUN
app01-7216	73	23	iterations	iteration	NOUN
app01-7216	73	24	on	on	ADP
app01-7216	73	25	the	the	DET
app01-7216	73	26	structural	structural	ADJ
app01-7216	73	27	level	level	NOUN
app01-7216	73	28	.	.	PUNCT
app01-7216	74	1	in	in	ADP
app01-7216	74	2	each	each	DET
app01-7216	74	3	iteration	iteration	NOUN
app01-7216	74	4	,	,	PUNCT
app01-7216	74	5	one	one	PRON
app01-7216	74	6	needs	need	VERB
app01-7216	74	7	to	to	PART
app01-7216	74	8	determine	determine	VERB
app01-7216	74	9	,	,	PUNCT
app01-7216	74	10	for	for	ADP
app01-7216	74	11	each	each	DET
app01-7216	74	12	beam	beam	NOUN
app01-7216	74	13	,	,	PUNCT
app01-7216	74	14	the	the	DET
app01-7216	74	15	end	end	NOUN
app01-7216	74	16	forces	force	NOUN
app01-7216	74	17	that	that	PRON
app01-7216	74	18	correspond	correspond	VERB
app01-7216	74	19	to	to	ADP
app01-7216	74	20	the	the	DET
app01-7216	74	21	given	give	VERB
app01-7216	74	22	joint	joint	ADJ
app01-7216	74	23	displacements	displacement	NOUN
app01-7216	74	24	and	and	CCONJ
app01-7216	74	25	rotations	rotation	NOUN
app01-7216	74	26	.	.	PUNCT
app01-7216	75	1	this	this	PRON
app01-7216	75	2	means	mean	VERB
app01-7216	75	3	that	that	SCONJ
app01-7216	75	4	constants	constant	NOUN
app01-7216	75	5	xab	xab	PROPN
app01-7216	75	6	,	,	PUNCT
app01-7216	75	7	zab	zab	PROPN
app01-7216	75	8	and	and	CCONJ
app01-7216	75	9	mab	mab	PROPN
app01-7216	75	10	in	in	ADP
app01-7216	75	11	(	(	PUNCT
app01-7216	75	12	15)–(17	15)–(17	NUM
app01-7216	75	13	)	)	PUNCT
app01-7216	75	14	are	be	AUX
app01-7216	75	15	not	not	PART
app01-7216	75	16	known	know	VERB
app01-7216	75	17	in	in	ADP
app01-7216	75	18	advance	advance	NOUN
app01-7216	75	19	.	.	PUNCT
app01-7216	76	1	on	on	ADP
app01-7216	76	2	the	the	DET
app01-7216	76	3	other	other	ADJ
app01-7216	76	4	hand	hand	NOUN
app01-7216	76	5	,	,	PUNCT
app01-7216	76	6	the	the	DET
app01-7216	76	7	displacements	displacement	NOUN
app01-7216	76	8	at	at	ADP
app01-7216	76	9	both	both	DET
app01-7216	76	10	end	end	NOUN
app01-7216	76	11	sections	section	NOUN
app01-7216	76	12	are	be	AUX
app01-7216	76	13	prescribed	prescribe	VERB
app01-7216	76	14	.	.	PUNCT
app01-7216	77	1	at	at	ADP
app01-7216	77	2	the	the	DET
app01-7216	77	3	left	left	ADJ
app01-7216	77	4	end	end	NOUN
app01-7216	77	5	,	,	PUNCT
app01-7216	77	6	conditions	condition	NOUN
app01-7216	77	7	ϕ(0	ϕ(0	PRON
app01-7216	77	8	)	)	PUNCT
app01-7216	78	1	=	=	PRON
app01-7216	78	2	ϕa	ϕa	PROPN
app01-7216	78	3	(	(	PUNCT
app01-7216	78	4	18	18	NUM
app01-7216	78	5	)	)	PUNCT
app01-7216	78	6	us(0	us(0	NOUN
app01-7216	78	7	)	)	PUNCT
app01-7216	78	8	=	=	SYM
app01-7216	78	9	ua	ua	PROPN
app01-7216	78	10	(	(	PUNCT
app01-7216	78	11	19	19	NUM
app01-7216	78	12	)	)	PUNCT
app01-7216	78	13	ws(0	ws(0	NOUN
app01-7216	78	14	)	)	PUNCT
app01-7216	78	15	=	=	SYM
app01-7216	78	16	wa	wa	X
app01-7216	78	17	(	(	PUNCT
app01-7216	78	18	20	20	NUM
app01-7216	78	19	)	)	PUNCT
app01-7216	78	20	can	can	AUX
app01-7216	78	21	be	be	AUX
app01-7216	78	22	considered	consider	VERB
app01-7216	78	23	as	as	ADP
app01-7216	78	24	initial	initial	ADJ
app01-7216	78	25	conditions	condition	NOUN
app01-7216	78	26	for	for	ADP
app01-7216	78	27	first	first	ADJ
app01-7216	78	28	-	-	PUNCT
app01-7216	78	29	order	order	NOUN
app01-7216	78	30	differential	differential	ADJ
app01-7216	78	31	equations	equation	NOUN
app01-7216	78	32	(	(	PUNCT
app01-7216	78	33	15)–(17	15)–(17	NUM
app01-7216	78	34	)	)	PUNCT
app01-7216	78	35	.	.	PUNCT
app01-7216	79	1	if	if	SCONJ
app01-7216	79	2	the	the	DET
app01-7216	79	3	values	value	NOUN
app01-7216	79	4	of	of	ADP
app01-7216	79	5	xab	xab	PROPN
app01-7216	79	6	,	,	PUNCT
app01-7216	79	7	zab	zab	PROPN
app01-7216	79	8	and	and	CCONJ
app01-7216	79	9	mab	mab	PROPN
app01-7216	79	10	are	be	AUX
app01-7216	79	11	somehow	somehow	ADV
app01-7216	79	12	estimated	estimate	VERB
app01-7216	79	13	,	,	PUNCT
app01-7216	79	14	these	these	DET
app01-7216	79	15	equations	equation	NOUN
app01-7216	79	16	can	can	AUX
app01-7216	79	17	be	be	AUX
app01-7216	79	18	integrated	integrate	VERB
app01-7216	79	19	,	,	PUNCT
app01-7216	79	20	at	at	ADP
app01-7216	79	21	least	least	ADJ
app01-7216	79	22	numerically	numerically	ADV
app01-7216	79	23	,	,	PUNCT
app01-7216	79	24	and	and	CCONJ
app01-7216	79	25	the	the	DET
app01-7216	79	26	values	value	NOUN
app01-7216	79	27	of	of	ADP
app01-7216	79	28	ϕ(l	ϕ(l	PROPN
app01-7216	79	29	)	)	PUNCT
app01-7216	79	30	,	,	PUNCT
app01-7216	79	31	us(l	us(l	NUM
app01-7216	79	32	)	)	PUNCT
app01-7216	79	33	and	and	CCONJ
app01-7216	79	34	ws(l	ws(l	NOUN
app01-7216	79	35	)	)	PUNCT
app01-7216	79	36	can	can	AUX
app01-7216	79	37	be	be	AUX
app01-7216	79	38	determined	determine	VERB
app01-7216	79	39	.	.	PUNCT
app01-7216	80	1	the	the	DET
app01-7216	80	2	values	value	NOUN
app01-7216	80	3	of	of	ADP
app01-7216	80	4	forces	force	NOUN
app01-7216	80	5	xab	xab	PROPN
app01-7216	80	6	,	,	PUNCT
app01-7216	80	7	zab	zab	PROPN
app01-7216	80	8	and	and	CCONJ
app01-7216	80	9	mab	mab	PROPN
app01-7216	80	10	then	then	ADV
app01-7216	80	11	need	need	VERB
app01-7216	80	12	to	to	PART
app01-7216	80	13	be	be	AUX
app01-7216	80	14	adjusted	adjust	VERB
app01-7216	80	15	such	such	ADJ
app01-7216	80	16	that	that	SCONJ
app01-7216	80	17	the	the	DET
app01-7216	80	18	resulting	result	VERB
app01-7216	80	19	kinematic	kinematic	ADJ
app01-7216	80	20	quantities	quantity	NOUN
app01-7216	80	21	at	at	ADP
app01-7216	80	22	the	the	DET
app01-7216	80	23	right	right	ADJ
app01-7216	80	24	end	end	NOUN
app01-7216	80	25	satisfy	satisfy	VERB
app01-7216	80	26	the	the	DET
app01-7216	80	27	remaining	remain	VERB
app01-7216	80	28	boundary	boundary	ADJ
app01-7216	80	29	conditions	condition	NOUN
app01-7216	80	30	ϕ(l	ϕ(l	NOUN
app01-7216	80	31	)	)	PUNCT
app01-7216	80	32	=	=	SYM
app01-7216	81	1	ϕb	ϕb	ADJ
app01-7216	81	2	(	(	PUNCT
app01-7216	81	3	21	21	NUM
app01-7216	81	4	)	)	PUNCT
app01-7216	81	5	us(l	us(l	NUM
app01-7216	81	6	)	)	PUNCT
app01-7216	81	7	=	=	SYM
app01-7216	81	8	ub	ub	INTJ
app01-7216	81	9	(	(	PUNCT
app01-7216	81	10	22	22	NUM
app01-7216	81	11	)	)	PUNCT
app01-7216	81	12	ws(l	ws(l	X
app01-7216	81	13	)	)	PUNCT
app01-7216	81	14	=	=	SYM
app01-7216	81	15	wb	wb	PROPN
app01-7216	81	16	(	(	PUNCT
app01-7216	81	17	23	23	NUM
app01-7216	81	18	)	)	PUNCT
app01-7216	81	19	for	for	ADP
app01-7216	81	20	a	a	DET
app01-7216	81	21	given	give	VERB
app01-7216	81	22	set	set	NOUN
app01-7216	81	23	of	of	ADP
app01-7216	81	24	end	end	NOUN
app01-7216	81	25	displacements	displacement	NOUN
app01-7216	81	26	,	,	PUNCT
app01-7216	81	27	the	the	DET
app01-7216	81	28	initial	initial	ADJ
app01-7216	81	29	estimate	estimate	NOUN
app01-7216	81	30	of	of	ADP
app01-7216	81	31	the	the	DET
app01-7216	81	32	left	left	ADJ
app01-7216	81	33	-	-	PUNCT
app01-7216	81	34	end	end	NOUN
app01-7216	81	35	forces	force	NOUN
app01-7216	81	36	can	can	AUX
app01-7216	81	37	be	be	AUX
app01-7216	81	38	constructed	construct	VERB
app01-7216	81	39	based	base	VERB
app01-7216	81	40	on	on	ADP
app01-7216	81	41	linear	linear	PROPN
app01-7216	81	42	beam	beam	NOUN
app01-7216	81	43	theory	theory	NOUN
app01-7216	81	44	,	,	PUNCT
app01-7216	81	45	or	or	CCONJ
app01-7216	81	46	on	on	ADP
app01-7216	81	47	the	the	DET
app01-7216	81	48	values	value	NOUN
app01-7216	81	49	at	at	ADP
app01-7216	81	50	the	the	DET
app01-7216	81	51	end	end	NOUN
app01-7216	81	52	of	of	ADP
app01-7216	81	53	the	the	DET
app01-7216	81	54	previous	previous	ADJ
app01-7216	81	55	step	step	NOUN
app01-7216	81	56	if	if	SCONJ
app01-7216	81	57	the	the	DET
app01-7216	81	58	calculation	calculation	NOUN
app01-7216	81	59	is	be	AUX
app01-7216	81	60	done	do	VERB
app01-7216	81	61	in	in	ADP
app01-7216	81	62	the	the	DET
app01-7216	81	63	context	context	NOUN
app01-7216	81	64	of	of	ADP
app01-7216	81	65	an	an	DET
app01-7216	81	66	incremental	incremental	ADJ
app01-7216	81	67	iterative	iterative	NOUN
app01-7216	81	68	structural	structural	ADJ
app01-7216	81	69	analysis	analysis	NOUN
app01-7216	81	70	.	.	PUNCT
app01-7216	82	1	in	in	ADP
app01-7216	82	2	fact	fact	NOUN
app01-7216	82	3	,	,	PUNCT
app01-7216	82	4	the	the	DET
app01-7216	82	5	suggested	suggest	VERB
app01-7216	82	6	approach	approach	NOUN
app01-7216	82	7	is	be	AUX
app01-7216	82	8	a	a	DET
app01-7216	82	9	special	special	ADJ
app01-7216	82	10	version	version	NOUN
app01-7216	82	11	of	of	ADP
app01-7216	82	12	the	the	DET
app01-7216	82	13	shooting	shooting	NOUN
app01-7216	82	14	method	method	NOUN
app01-7216	82	15	.	.	PUNCT
app01-7216	83	1	normally	normally	ADV
app01-7216	83	2	,	,	PUNCT
app01-7216	83	3	the	the	DET
app01-7216	83	4	shooting	shooting	NOUN
app01-7216	83	5	method	method	NOUN
app01-7216	83	6	iterates	iterate	VERB
app01-7216	83	7	on	on	ADP
app01-7216	83	8	some	some	PRON
app01-7216	83	9	of	of	ADP
app01-7216	83	10	the	the	DET
app01-7216	83	11	initial	initial	ADJ
app01-7216	83	12	values	value	NOUN
app01-7216	83	13	.	.	PUNCT
app01-7216	84	1	actually	actually	ADV
app01-7216	84	2	,	,	PUNCT
app01-7216	84	3	the	the	DET
app01-7216	84	4	left	leave	VERB
app01-7216	84	5	-	-	PUNCT
app01-7216	84	6	end	end	NOUN
app01-7216	84	7	forces	force	NOUN
app01-7216	84	8	would	would	AUX
app01-7216	84	9	appear	appear	VERB
app01-7216	84	10	in	in	ADP
app01-7216	84	11	static	static	ADJ
app01-7216	84	12	boundary	boundary	ADJ
app01-7216	84	13	conditions	condition	NOUN
app01-7216	84	14	at	at	ADP
app01-7216	84	15	the	the	DET
app01-7216	84	16	left	left	ADJ
app01-7216	84	17	end	end	NOUN
app01-7216	84	18	,	,	PUNCT
app01-7216	84	19	which	which	PRON
app01-7216	84	20	make	make	VERB
app01-7216	84	21	it	it	PRON
app01-7216	84	22	possible	possible	ADJ
app01-7216	84	23	to	to	PART
app01-7216	84	24	integrate	integrate	VERB
app01-7216	84	25	the	the	DET
app01-7216	84	26	differential	differential	ADJ
app01-7216	84	27	equations	equation	NOUN
app01-7216	84	28	of	of	ADP
app01-7216	84	29	equilibrium	equilibrium	NOUN
app01-7216	84	30	and	and	CCONJ
app01-7216	84	31	proceed	proceed	VERB
app01-7216	84	32	from	from	ADP
app01-7216	84	33	external	external	ADJ
app01-7216	84	34	forces	force	NOUN
app01-7216	84	35	to	to	ADP
app01-7216	84	36	internal	internal	ADJ
app01-7216	84	37	forces	force	NOUN
app01-7216	84	38	.	.	PUNCT
app01-7216	85	1	here	here	ADV
app01-7216	85	2	,	,	PUNCT
app01-7216	85	3	the	the	DET
app01-7216	85	4	equilibrium	equilibrium	NOUN
app01-7216	85	5	equations	equation	NOUN
app01-7216	85	6	were	be	AUX
app01-7216	85	7	directly	directly	ADV
app01-7216	85	8	presented	present	VERB
app01-7216	85	9	in	in	ADP
app01-7216	85	10	their	their	PRON
app01-7216	85	11	integrated	integrate	VERB
app01-7216	85	12	form	form	NOUN
app01-7216	85	13	(	(	PUNCT
app01-7216	85	14	13)–(14	13)–(14	NUM
app01-7216	85	15	)	)	PUNCT
app01-7216	85	16	,	,	PUNCT
app01-7216	85	17	and	and	CCONJ
app01-7216	85	18	the	the	DET
app01-7216	85	19	unknown	unknown	ADJ
app01-7216	85	20	variables	variable	NOUN
app01-7216	85	21	play	play	VERB
app01-7216	85	22	the	the	DET
app01-7216	85	23	role	role	NOUN
app01-7216	85	24	of	of	ADP
app01-7216	85	25	integration	integration	NOUN
app01-7216	85	26	constants	constant	NOUN
app01-7216	85	27	instead	instead	ADV
app01-7216	85	28	of	of	ADP
app01-7216	85	29	boundary	boundary	ADJ
app01-7216	85	30	values	value	NOUN
app01-7216	85	31	.	.	PUNCT
app01-7216	86	1	2.3	2.3	NUM
app01-7216	86	2	.	.	PUNCT
app01-7216	86	3	numerical	numerical	ADJ
app01-7216	86	4	solution	solution	NOUN
app01-7216	86	5	the	the	DET
app01-7216	86	6	suggested	suggest	VERB
app01-7216	86	7	numerical	numerical	ADJ
app01-7216	86	8	approach	approach	NOUN
app01-7216	86	9	is	be	AUX
app01-7216	86	10	based	base	VERB
app01-7216	86	11	on	on	ADP
app01-7216	86	12	the	the	DET
app01-7216	86	13	full	full	ADJ
app01-7216	86	14	form	form	NOUN
app01-7216	86	15	of	of	ADP
app01-7216	86	16	equations	equation	NOUN
app01-7216	86	17	(	(	PUNCT
app01-7216	86	18	15)–(17	15)–(17	NUM
app01-7216	86	19	)	)	PUNCT
app01-7216	86	20	.	.	PUNCT
app01-7216	87	1	the	the	DET
app01-7216	87	2	right	right	ADJ
app01-7216	87	3	-	-	PUNCT
app01-7216	87	4	end	end	NOUN
app01-7216	87	5	displacements	displacement	NOUN
app01-7216	87	6	ub	ub	ADP
app01-7216	87	7	,	,	PUNCT
app01-7216	87	8	wb	wb	PROPN
app01-7216	87	9	and	and	CCONJ
app01-7216	87	10	ϕb	ϕb	ADV
app01-7216	87	11	can	can	AUX
app01-7216	87	12	be	be	AUX
app01-7216	87	13	evaluated	evaluate	VERB
app01-7216	87	14	if	if	SCONJ
app01-7216	87	15	the	the	DET
app01-7216	87	16	left	leave	VERB
app01-7216	87	17	-	-	PUNCT
app01-7216	87	18	end	end	NOUN
app01-7216	87	19	displacements	displacement	NOUN
app01-7216	87	20	ua	ua	PROPN
app01-7216	87	21	,	,	PUNCT
app01-7216	87	22	wa	wa	NOUN
app01-7216	87	23	and	and	CCONJ
app01-7216	87	24	ϕa	ϕa	PROPN
app01-7216	87	25	and	and	CCONJ
app01-7216	87	26	the	the	DET
app01-7216	87	27	left	left	ADJ
app01-7216	87	28	-	-	PUNCT
app01-7216	87	29	end	end	NOUN
app01-7216	87	30	forces	force	NOUN
app01-7216	87	31	xab	xab	PROPN
app01-7216	87	32	,	,	PUNCT
app01-7216	87	33	zab	zab	PROPN
app01-7216	87	34	and	and	CCONJ
app01-7216	87	35	mab	mab	PROPN
app01-7216	87	36	are	be	AUX
app01-7216	87	37	given	give	VERB
app01-7216	87	38	.	.	PUNCT
app01-7216	88	1	to	to	ADP
app01-7216	88	2	this	this	DET
app01-7216	88	3	end	end	NOUN
app01-7216	88	4	,	,	PUNCT
app01-7216	88	5	the	the	DET
app01-7216	88	6	derivatives	derivative	NOUN
app01-7216	88	7	in	in	ADP
app01-7216	88	8	(	(	PUNCT
app01-7216	88	9	15)–(17	15)–(17	NUM
app01-7216	88	10	)	)	PUNCT
app01-7216	88	11	can	can	AUX
app01-7216	88	12	be	be	AUX
app01-7216	88	13	replaced	replace	VERB
app01-7216	88	14	by	by	ADP
app01-7216	88	15	finite	finite	ADJ
app01-7216	88	16	differences	difference	NOUN
app01-7216	88	17	and	and	CCONJ
app01-7216	88	18	the	the	DET
app01-7216	88	19	interval	interval	NOUN
app01-7216	88	20	[	[	X
app01-7216	88	21	0	0	NUM
app01-7216	88	22	,	,	PUNCT
app01-7216	88	23	l	l	NOUN
app01-7216	88	24	]	]	PUNCT
app01-7216	88	25	is	be	AUX
app01-7216	88	26	divided	divide	VERB
app01-7216	88	27	into	into	ADP
app01-7216	88	28	n	n	PRON
app01-7216	88	29	equally	equally	ADV
app01-7216	88	30	sized	sized	ADJ
app01-7216	88	31	numerical	numerical	ADJ
app01-7216	88	32	segments	segment	NOUN
app01-7216	88	33	.	.	PUNCT
app01-7216	89	1	mapping	mapping	NOUN
app01-7216	89	2	of	of	ADP
app01-7216	89	3	the	the	DET
app01-7216	89	4	right	right	ADJ
app01-7216	89	5	-	-	PUNCT
app01-7216	89	6	end	end	NOUN
app01-7216	89	7	displacements	displacement	NOUN
app01-7216	89	8	,	,	PUNCT
app01-7216	89	9	rotation	rotation	NOUN
app01-7216	89	10	,	,	PUNCT
app01-7216	89	11	forces	force	NOUN
app01-7216	89	12	and	and	CCONJ
app01-7216	89	13	moment	moment	NOUN
app01-7216	89	14	based	base	VERB
app01-7216	89	15	on	on	ADP
app01-7216	89	16	the	the	DET
app01-7216	89	17	left	leave	VERB
app01-7216	89	18	-	-	PUNCT
app01-7216	89	19	end	end	NOUN
app01-7216	89	20	displacements	displacement	NOUN
app01-7216	89	21	and	and	CCONJ
app01-7216	89	22	rotation	rotation	NOUN
app01-7216	89	23	can	can	AUX
app01-7216	89	24	formally	formally	ADV
app01-7216	89	25	be	be	AUX
app01-7216	89	26	described	describe	VERB
app01-7216	89	27	by	by	ADP
app01-7216	89	28	ub	ub	NOUN
app01-7216	89	29	=	=	SYM
app01-7216	89	30	g(fab	g(fab	PROPN
app01-7216	89	31	,	,	PUNCT
app01-7216	89	32	ua	ua	PROPN
app01-7216	89	33	)	)	PUNCT
app01-7216	89	34	(	(	PUNCT
app01-7216	89	35	24	24	NUM
app01-7216	89	36	)	)	PUNCT
app01-7216	89	37	where	where	SCONJ
app01-7216	89	38	ua	ua	NOUN
app01-7216	89	39	=	=	NOUN
app01-7216	89	40	#	#	PROPN
app01-7216	89	41	$	$	PROPN
app01-7216	89	42	ua	ua	PROPN
app01-7216	89	43	wa	wa	PROPN
app01-7216	89	44	ϕa	ϕa	PROPN
app01-7216	89	45	%	%	PROPN
app01-7216	89	46	&	&	CCONJ
app01-7216	89	47	,	,	PUNCT
app01-7216	89	48	ub	ub	ADV
app01-7216	89	49	=	=	NOUN
app01-7216	89	50	#	#	NOUN
app01-7216	89	51	$	$	SYM
app01-7216	89	52	ub	ub	ADP
app01-7216	89	53	wb	wb	NOUN
app01-7216	90	1	ϕb	ϕb	INTJ
app01-7216	90	2	%	%	INTJ
app01-7216	90	3	&	&	CCONJ
app01-7216	90	4	,	,	PUNCT
app01-7216	90	5	(	(	PUNCT
app01-7216	90	6	25	25	NUM
app01-7216	90	7	)	)	PUNCT
app01-7216	90	8	fab	fab	NOUN
app01-7216	90	9	=	=	NOUN
app01-7216	90	10	#	#	NOUN
app01-7216	90	11	$	$	SYM
app01-7216	90	12	xab	xab	PROPN
app01-7216	90	13	zab	zab	PROPN
app01-7216	90	14	mab	mab	PROPN
app01-7216	90	15	%	%	PROPN
app01-7216	90	16	&	&	CCONJ
app01-7216	90	17	and	and	CCONJ
app01-7216	90	18	g	g	PROPN
app01-7216	90	19	is	be	AUX
app01-7216	90	20	a	a	DET
app01-7216	90	21	column	column	NOUN
app01-7216	90	22	matrix	matrix	NOUN
app01-7216	90	23	of	of	ADP
app01-7216	90	24	three	three	NUM
app01-7216	90	25	functions	function	NOUN
app01-7216	90	26	of	of	ADP
app01-7216	90	27	six	six	NUM
app01-7216	90	28	variables	variable	NOUN
app01-7216	90	29	.	.	PUNCT
app01-7216	91	1	for	for	ADP
app01-7216	91	2	given	give	VERB
app01-7216	91	3	values	value	NOUN
app01-7216	91	4	of	of	ADP
app01-7216	91	5	ua	ua	PROPN
app01-7216	91	6	and	and	CCONJ
app01-7216	91	7	ub	ub	PROPN
app01-7216	91	8	,	,	PUNCT
app01-7216	91	9	equation	equation	NOUN
app01-7216	91	10	(	(	PUNCT
app01-7216	91	11	24	24	NUM
app01-7216	91	12	)	)	PUNCT
app01-7216	91	13	represents	represent	VERB
app01-7216	91	14	a	a	DET
app01-7216	91	15	set	set	NOUN
app01-7216	91	16	of	of	ADP
app01-7216	91	17	three	three	NUM
app01-7216	91	18	nonlinear	nonlinear	ADJ
app01-7216	91	19	algebraic	algebraic	ADJ
app01-7216	91	20	equations	equation	NOUN
app01-7216	91	21	for	for	ADP
app01-7216	91	22	unknowns	unknown	NOUN
app01-7216	91	23	fab	fab	NOUN
app01-7216	91	24	.	.	PUNCT
app01-7216	92	1	the	the	DET
app01-7216	92	2	solution	solution	NOUN
app01-7216	92	3	is	be	AUX
app01-7216	92	4	found	find	VERB
app01-7216	92	5	by	by	ADP
app01-7216	92	6	the	the	DET
app01-7216	92	7	newton	newton	PROPN
app01-7216	92	8	-	-	PUNCT
app01-7216	92	9	raphson	raphson	PROPN
app01-7216	92	10	method	method	NOUN
app01-7216	92	11	,	,	PUNCT
app01-7216	92	12	using	use	VERB
app01-7216	92	13	the	the	DET
app01-7216	92	14	recursive	recursive	ADJ
app01-7216	92	15	formula	formula	NOUN
app01-7216	92	16	δf	δf	INTJ
app01-7216	92	17	(	(	PUNCT
app01-7216	92	18	k	k	NOUN
app01-7216	92	19	)	)	PUNCT
app01-7216	92	20	ab	ab	NOUN
app01-7216	92	21	=	=	PUNCT
app01-7216	92	22	g−1	g−1	PROPN
app01-7216	92	23	'	'	PUNCT
app01-7216	92	24	f	f	NOUN
app01-7216	92	25	(	(	PUNCT
app01-7216	92	26	k	k	NOUN
app01-7216	92	27	)	)	PUNCT
app01-7216	92	28	ab	ab	PROPN
app01-7216	92	29	,	,	PUNCT
app01-7216	92	30	ua	ua	PROPN
app01-7216	92	31	(	(	PUNCT
app01-7216	92	32	'	'	PUNCT
app01-7216	92	33	ub	ub	INTJ
app01-7216	92	34	−	−	PROPN
app01-7216	92	35	g	g	NOUN
app01-7216	92	36	'	'	PUNCT
app01-7216	92	37	f	f	NOUN
app01-7216	92	38	(	(	PUNCT
app01-7216	92	39	k	k	NOUN
app01-7216	92	40	)	)	PUNCT
app01-7216	92	41	ab	ab	PROPN
app01-7216	92	42	,	,	PUNCT
app01-7216	92	43	ua	ua	PROPN
app01-7216	92	44	(	(	PUNCT
app01-7216	92	45	(	(	PUNCT
app01-7216	92	46	(	(	PUNCT
app01-7216	92	47	26	26	NUM
app01-7216	92	48	)	)	PUNCT
app01-7216	92	49	f	f	NOUN
app01-7216	92	50	(	(	PUNCT
app01-7216	92	51	k+1	k+1	NOUN
app01-7216	92	52	)	)	PUNCT
app01-7216	93	1	ab	ab	NOUN
app01-7216	93	2	=	=	SYM
app01-7216	93	3	f	f	PROPN
app01-7216	93	4	(	(	PUNCT
app01-7216	93	5	k	k	NOUN
app01-7216	93	6	)	)	PUNCT
app01-7216	93	7	ab	ab	PROPN
app01-7216	94	1	+	+	CCONJ
app01-7216	94	2	δf	δf	INTJ
app01-7216	94	3	(	(	PUNCT
app01-7216	94	4	k	k	NOUN
app01-7216	94	5	)	)	PUNCT
app01-7216	94	6	ab	ab	PROPN
app01-7216	94	7	,	,	PUNCT
app01-7216	94	8	k	k	PROPN
app01-7216	94	9	=	=	SYM
app01-7216	94	10	0	0	NUM
app01-7216	94	11	,	,	PUNCT
app01-7216	94	12	1	1	NUM
app01-7216	94	13	,	,	PUNCT
app01-7216	94	14	2	2	NUM
app01-7216	94	15	,	,	PUNCT
app01-7216	94	16	.	.	PUNCT
app01-7216	94	17	.	.	PUNCT
app01-7216	94	18	.	.	PUNCT
app01-7216	95	1	(	(	PUNCT
app01-7216	95	2	27	27	NUM
app01-7216	95	3	)	)	PUNCT
app01-7216	95	4	where	where	SCONJ
app01-7216	95	5	g	g	NOUN
app01-7216	95	6	=	=	SYM
app01-7216	95	7	∂g	∂g	PROPN
app01-7216	95	8	∂fab	∂fab	PRON
app01-7216	95	9	(	(	PUNCT
app01-7216	95	10	28	28	NUM
app01-7216	95	11	)	)	PUNCT
app01-7216	95	12	is	be	AUX
app01-7216	95	13	the	the	DET
app01-7216	95	14	jacobi	jacobi	PROPN
app01-7216	95	15	matrix	matrix	NOUN
app01-7216	95	16	of	of	ADP
app01-7216	95	17	mapping	map	VERB
app01-7216	95	18	g	g	NOUN
app01-7216	95	19	with	with	ADP
app01-7216	95	20	respect	respect	NOUN
app01-7216	95	21	to	to	ADP
app01-7216	95	22	variables	variable	NOUN
app01-7216	95	23	fab	fab	ADJ
app01-7216	95	24	.	.	PUNCT
app01-7216	96	1	the	the	DET
app01-7216	96	2	entries	entry	NOUN
app01-7216	96	3	of	of	ADP
app01-7216	96	4	the	the	DET
app01-7216	96	5	jacobi	jacobi	PROPN
app01-7216	96	6	matrix	matrix	NOUN
app01-7216	96	7	are	be	AUX
app01-7216	96	8	evaluated	evaluate	VERB
app01-7216	96	9	numerically	numerically	ADV
app01-7216	96	10	using	use	VERB
app01-7216	96	11	the	the	DET
app01-7216	96	12	linearized	linearize	VERB
app01-7216	96	13	version	version	NOUN
app01-7216	96	14	of	of	ADP
app01-7216	96	15	the	the	DET
app01-7216	96	16	computational	computational	ADJ
app01-7216	96	17	scheme	scheme	NOUN
app01-7216	96	18	.	.	PUNCT
app01-7216	97	1	once	once	SCONJ
app01-7216	97	2	the	the	DET
app01-7216	97	3	left	leave	VERB
app01-7216	97	4	-	-	PUNCT
app01-7216	97	5	end	end	NOUN
app01-7216	97	6	forces	force	NOUN
app01-7216	97	7	have	have	AUX
app01-7216	97	8	converged	converge	VERB
app01-7216	97	9	,	,	PUNCT
app01-7216	97	10	the	the	DET
app01-7216	97	11	right	right	ADJ
app01-7216	97	12	-	-	PUNCT
app01-7216	97	13	end	end	NOUN
app01-7216	97	14	forces	force	NOUN
app01-7216	97	15	are	be	AUX
app01-7216	97	16	easily	easily	ADV
app01-7216	97	17	evaluated	evaluate	VERB
app01-7216	97	18	from	from	ADP
app01-7216	97	19	equilibrium	equilibrium	NOUN
app01-7216	97	20	conditions	condition	NOUN
app01-7216	97	21	written	write	VERB
app01-7216	97	22	for	for	ADP
app01-7216	97	23	the	the	DET
app01-7216	97	24	whole	whole	ADJ
app01-7216	97	25	beam	beam	NOUN
app01-7216	97	26	.	.	PUNCT
app01-7216	98	1	the	the	DET
app01-7216	98	2	foregoing	forego	VERB
app01-7216	98	3	equations	equation	NOUN
app01-7216	98	4	were	be	AUX
app01-7216	98	5	formulated	formulate	VERB
app01-7216	98	6	in	in	ADP
app01-7216	98	7	a	a	DET
app01-7216	98	8	local	local	ADJ
app01-7216	98	9	coordinate	coordinate	NOUN
app01-7216	98	10	system	system	NOUN
app01-7216	98	11	aligned	align	VERB
app01-7216	98	12	with	with	ADP
app01-7216	98	13	the	the	DET
app01-7216	98	14	undeformed	undeformed	ADJ
app01-7216	98	15	89	89	NUM
app01-7216	98	16	e.	e.	PROPN
app01-7216	98	17	la	la	PROPN
app01-7216	98	18	malfa	malfa	PROPN
app01-7216	98	19	ribolla	ribolla	NOUN
app01-7216	98	20	,	,	PUNCT
app01-7216	98	21	m.	m.	NOUN
app01-7216	98	22	jirásek	jirásek	NOUN
app01-7216	98	23	,	,	PUNCT
app01-7216	98	24	m.	m.	PROPN
app01-7216	98	25	horák	horák	PROPN
app01-7216	98	26	acta	acta	PROPN
app01-7216	98	27	polytechnica	polytechnica	PROPN
app01-7216	98	28	ctu	ctu	PROPN
app01-7216	98	29	proceedings	proceeding	NOUN
app01-7216	98	30	m	m	AUX
app01-7216	98	31	figure	figure	VERB
app01-7216	99	1	3	3	NUM
app01-7216	99	2	.	.	PUNCT
app01-7216	100	1	pure	pure	ADJ
app01-7216	100	2	bending	bending	NOUN
app01-7216	100	3	of	of	ADP
app01-7216	100	4	a	a	DET
app01-7216	100	5	cantilever	cantilever	NOUN
app01-7216	100	6	beam	beam	NOUN
app01-7216	100	7	subjected	subject	VERB
app01-7216	100	8	to	to	PART
app01-7216	100	9	end	end	NOUN
app01-7216	100	10	moment	moment	NOUN
app01-7216	100	11	.	.	PUNCT
app01-7216	101	1	beam	beam	PROPN
app01-7216	101	2	.	.	PUNCT
app01-7216	102	1	since	since	SCONJ
app01-7216	102	2	the	the	DET
app01-7216	102	3	deformed	deform	VERB
app01-7216	102	4	shape	shape	NOUN
app01-7216	102	5	of	of	ADP
app01-7216	102	6	the	the	DET
app01-7216	102	7	beam	beam	NOUN
app01-7216	102	8	and	and	CCONJ
app01-7216	102	9	the	the	DET
app01-7216	102	10	distribution	distribution	NOUN
app01-7216	102	11	of	of	ADP
app01-7216	102	12	internal	internal	ADJ
app01-7216	102	13	forces	force	NOUN
app01-7216	102	14	must	must	AUX
app01-7216	102	15	be	be	AUX
app01-7216	102	16	invariant	invariant	ADJ
app01-7216	102	17	with	with	ADP
app01-7216	102	18	respect	respect	NOUN
app01-7216	102	19	to	to	ADP
app01-7216	102	20	rigid	rigid	ADJ
app01-7216	102	21	-	-	PUNCT
app01-7216	102	22	body	body	NOUN
app01-7216	102	23	translations	translation	NOUN
app01-7216	102	24	and	and	CCONJ
app01-7216	102	25	rotations	rotation	NOUN
app01-7216	102	26	,	,	PUNCT
app01-7216	102	27	one	one	PRON
app01-7216	102	28	can	can	AUX
app01-7216	102	29	also	also	ADV
app01-7216	102	30	use	use	VERB
app01-7216	102	31	a	a	DET
app01-7216	102	32	rotated	rotate	VERB
app01-7216	102	33	coordinate	coordinate	NOUN
app01-7216	102	34	system	system	NOUN
app01-7216	102	35	x̃	x̃	PROPN
app01-7216	102	36	−	−	PROPN
app01-7216	102	37	z̃	z̃	PROPN
app01-7216	102	38	with	with	ADP
app01-7216	102	39	the	the	DET
app01-7216	102	40	origin	origin	NOUN
app01-7216	102	41	located	locate	VERB
app01-7216	102	42	at	at	ADP
app01-7216	102	43	the	the	DET
app01-7216	102	44	left	left	ADJ
app01-7216	102	45	end	end	NOUN
app01-7216	102	46	of	of	ADP
app01-7216	102	47	the	the	DET
app01-7216	102	48	beam	beam	NOUN
app01-7216	102	49	in	in	ADP
app01-7216	102	50	the	the	DET
app01-7216	102	51	deformed	deform	VERB
app01-7216	102	52	configuration	configuration	NOUN
app01-7216	102	53	(	(	PUNCT
app01-7216	102	54	point	point	NOUN
app01-7216	102	55	ã	ã	PROPN
app01-7216	102	56	in	in	ADP
app01-7216	102	57	fig	fig	NOUN
app01-7216	102	58	.	.	PUNCT
app01-7216	103	1	2	2	NUM
app01-7216	103	2	)	)	PUNCT
app01-7216	103	3	and	and	CCONJ
app01-7216	103	4	with	with	ADP
app01-7216	103	5	the	the	DET
app01-7216	103	6	x̃	x̃	PROPN
app01-7216	103	7	axis	axis	NOUN
app01-7216	103	8	in	in	ADP
app01-7216	103	9	the	the	DET
app01-7216	103	10	direction	direction	NOUN
app01-7216	103	11	of	of	ADP
app01-7216	103	12	the	the	DET
app01-7216	103	13	tangent	tangent	NOUN
app01-7216	103	14	to	to	ADP
app01-7216	103	15	the	the	DET
app01-7216	103	16	deformed	deform	VERB
app01-7216	103	17	centerline	centerline	NOUN
app01-7216	103	18	at	at	ADP
app01-7216	103	19	the	the	DET
app01-7216	103	20	left	left	ADJ
app01-7216	103	21	end	end	NOUN
app01-7216	103	22	.	.	PUNCT
app01-7216	104	1	with	with	ADP
app01-7216	104	2	respect	respect	NOUN
app01-7216	104	3	to	to	ADP
app01-7216	104	4	this	this	DET
app01-7216	104	5	coordinate	coordinate	NOUN
app01-7216	104	6	system	system	NOUN
app01-7216	104	7	,	,	PUNCT
app01-7216	104	8	the	the	DET
app01-7216	104	9	left	leave	VERB
app01-7216	104	10	-	-	PUNCT
app01-7216	104	11	end	end	NOUN
app01-7216	104	12	displacements	displacement	NOUN
app01-7216	104	13	are	be	AUX
app01-7216	104	14	always	always	ADV
app01-7216	104	15	zero	zero	NUM
app01-7216	104	16	,	,	PUNCT
app01-7216	104	17	and	and	CCONJ
app01-7216	104	18	so	so	ADV
app01-7216	104	19	ua	ua	PROPN
app01-7216	104	20	can	can	AUX
app01-7216	104	21	be	be	AUX
app01-7216	104	22	omitted	omit	VERB
app01-7216	104	23	from	from	ADP
app01-7216	104	24	the	the	DET
app01-7216	104	25	list	list	NOUN
app01-7216	104	26	of	of	ADP
app01-7216	104	27	arguments	argument	NOUN
app01-7216	104	28	of	of	ADP
app01-7216	104	29	function	function	NOUN
app01-7216	104	30	g.	g.	PROPN
app01-7216	104	31	of	of	ADP
app01-7216	104	32	course	course	ADV
app01-7216	104	33	,	,	PUNCT
app01-7216	104	34	the	the	DET
app01-7216	104	35	rightend	rightend	NOUN
app01-7216	104	36	displacements	displacement	NOUN
app01-7216	104	37	ub	ub	VERB
app01-7216	104	38	must	must	AUX
app01-7216	104	39	be	be	AUX
app01-7216	104	40	computed	compute	VERB
app01-7216	104	41	from	from	ADP
app01-7216	104	42	the	the	DET
app01-7216	104	43	global	global	ADJ
app01-7216	104	44	components	component	NOUN
app01-7216	104	45	of	of	ADP
app01-7216	104	46	the	the	DET
app01-7216	104	47	joint	joint	ADJ
app01-7216	104	48	displacements	displacement	NOUN
app01-7216	104	49	using	use	VERB
app01-7216	104	50	an	an	DET
app01-7216	104	51	appropriate	appropriate	ADJ
app01-7216	104	52	transformation	transformation	NOUN
app01-7216	104	53	rule	rule	NOUN
app01-7216	104	54	,	,	PUNCT
app01-7216	104	55	and	and	CCONJ
app01-7216	104	56	the	the	DET
app01-7216	104	57	end	end	NOUN
app01-7216	104	58	forces	force	NOUN
app01-7216	104	59	obtained	obtain	VERB
app01-7216	104	60	by	by	ADP
app01-7216	104	61	the	the	DET
app01-7216	104	62	iterative	iterative	NOUN
app01-7216	104	63	process	process	NOUN
app01-7216	104	64	(	(	PUNCT
app01-7216	104	65	26)–(27	26)–(27	NUM
app01-7216	104	66	)	)	PUNCT
app01-7216	104	67	must	must	AUX
app01-7216	104	68	be	be	AUX
app01-7216	104	69	transformed	transform	VERB
app01-7216	104	70	back	back	ADV
app01-7216	104	71	into	into	ADP
app01-7216	104	72	the	the	DET
app01-7216	104	73	global	global	ADJ
app01-7216	104	74	coordinate	coordinate	NOUN
app01-7216	104	75	system	system	NOUN
app01-7216	104	76	.	.	PUNCT
app01-7216	105	1	consistent	consistent	ADJ
app01-7216	105	2	linearization	linearization	NOUN
app01-7216	105	3	of	of	ADP
app01-7216	105	4	the	the	DET
app01-7216	105	5	relation	relation	NOUN
app01-7216	105	6	between	between	ADP
app01-7216	105	7	the	the	DET
app01-7216	105	8	end	end	NOUN
app01-7216	105	9	forces	force	NOUN
app01-7216	105	10	and	and	CCONJ
app01-7216	105	11	end	end	VERB
app01-7216	105	12	displacements	displacement	NOUN
app01-7216	105	13	leads	lead	VERB
app01-7216	105	14	to	to	ADP
app01-7216	105	15	the	the	DET
app01-7216	105	16	element	element	ADJ
app01-7216	105	17	tangent	tangent	NOUN
app01-7216	105	18	stiffness	stiffness	NOUN
app01-7216	105	19	matrix	matrix	NOUN
app01-7216	105	20	.	.	PUNCT
app01-7216	106	1	details	detail	NOUN
app01-7216	106	2	will	will	AUX
app01-7216	106	3	be	be	AUX
app01-7216	106	4	presented	present	VERB
app01-7216	106	5	in	in	ADP
app01-7216	106	6	a	a	DET
app01-7216	106	7	full	full	ADJ
app01-7216	106	8	journal	journal	NOUN
app01-7216	106	9	paper	paper	NOUN
app01-7216	106	10	.	.	PUNCT
app01-7216	107	1	3	3	X
app01-7216	107	2	.	.	X
app01-7216	107	3	numerical	numerical	ADJ
app01-7216	107	4	examples	example	NOUN
app01-7216	107	5	a	a	DET
app01-7216	107	6	nonlinear	nonlinear	ADJ
app01-7216	107	7	beam	beam	NOUN
app01-7216	107	8	element	element	NOUN
app01-7216	107	9	based	base	VERB
app01-7216	107	10	on	on	ADP
app01-7216	107	11	the	the	DET
app01-7216	107	12	proposed	propose	VERB
app01-7216	107	13	approach	approach	NOUN
app01-7216	107	14	has	have	AUX
app01-7216	107	15	been	be	AUX
app01-7216	107	16	implemented	implement	VERB
app01-7216	107	17	into	into	ADP
app01-7216	107	18	oofem	oofem	NOUN
app01-7216	107	19	[	[	X
app01-7216	107	20	7	7	NUM
app01-7216	107	21	,	,	PUNCT
app01-7216	107	22	8	8	NUM
app01-7216	107	23	]	]	PUNCT
app01-7216	107	24	,	,	PUNCT
app01-7216	107	25	an	an	DET
app01-7216	107	26	object	object	NOUN
app01-7216	107	27	-	-	PUNCT
app01-7216	107	28	oriented	orient	VERB
app01-7216	107	29	finite	finite	NOUN
app01-7216	107	30	element	element	PROPN
app01-7216	107	31	code	code	PROPN
app01-7216	107	32	.	.	PUNCT
app01-7216	108	1	to	to	PART
app01-7216	108	2	verify	verify	VERB
app01-7216	108	3	the	the	DET
app01-7216	108	4	implementation	implementation	NOUN
app01-7216	108	5	and	and	CCONJ
app01-7216	108	6	demonstrate	demonstrate	VERB
app01-7216	108	7	the	the	DET
app01-7216	108	8	potential	potential	NOUN
app01-7216	108	9	of	of	ADP
app01-7216	108	10	the	the	DET
app01-7216	108	11	suggested	suggest	VERB
app01-7216	108	12	approach	approach	NOUN
app01-7216	108	13	,	,	PUNCT
app01-7216	108	14	two	two	NUM
app01-7216	108	15	examples	example	NOUN
app01-7216	108	16	involving	involve	VERB
app01-7216	108	17	simple	simple	ADJ
app01-7216	108	18	structures	structure	NOUN
app01-7216	108	19	are	be	AUX
app01-7216	108	20	shown	show	VERB
app01-7216	108	21	next	next	ADV
app01-7216	108	22	.	.	PUNCT
app01-7216	109	1	3.1	3.1	NUM
app01-7216	109	2	.	.	PUNCT
app01-7216	110	1	pure	pure	ADJ
app01-7216	110	2	bending	bending	NOUN
app01-7216	110	3	of	of	ADP
app01-7216	110	4	a	a	DET
app01-7216	110	5	cantilever	cantilever	NOUN
app01-7216	110	6	beam	beam	NOUN
app01-7216	110	7	the	the	DET
app01-7216	110	8	first	first	ADJ
app01-7216	110	9	test	test	NOUN
app01-7216	110	10	is	be	AUX
app01-7216	110	11	a	a	DET
app01-7216	110	12	cantilever	cantilever	NOUN
app01-7216	110	13	of	of	ADP
app01-7216	110	14	length	length	NOUN
app01-7216	110	15	l	l	NOUN
app01-7216	110	16	=	=	SYM
app01-7216	110	17	8	8	NUM
app01-7216	110	18	and	and	CCONJ
app01-7216	110	19	bending	bend	VERB
app01-7216	110	20	stiffness	stiffness	NOUN
app01-7216	110	21	ei	ei	NOUN
app01-7216	110	22	=	=	SYM
app01-7216	110	23	1	1	NUM
app01-7216	110	24	loaded	load	VERB
app01-7216	110	25	by	by	ADP
app01-7216	110	26	a	a	DET
app01-7216	110	27	concentrated	concentrated	ADJ
app01-7216	110	28	end	end	NOUN
app01-7216	110	29	moment	moment	NOUN
app01-7216	110	30	m	m	INTJ
app01-7216	110	31	on	on	ADP
app01-7216	110	32	its	its	PRON
app01-7216	110	33	right	right	ADJ
app01-7216	110	34	-	-	PUNCT
app01-7216	110	35	end	end	NOUN
app01-7216	110	36	.	.	PUNCT
app01-7216	111	1	the	the	DET
app01-7216	111	2	exact	exact	ADJ
app01-7216	111	3	solution	solution	NOUN
app01-7216	111	4	to	to	ADP
app01-7216	111	5	this	this	DET
app01-7216	111	6	problem	problem	NOUN
app01-7216	111	7	is	be	AUX
app01-7216	111	8	a	a	DET
app01-7216	111	9	circular	circular	ADJ
app01-7216	111	10	arc	arc	NOUN
app01-7216	111	11	with	with	ADP
app01-7216	111	12	radius	radius	NOUN
app01-7216	111	13	r	r	NOUN
app01-7216	111	14	=	=	SYM
app01-7216	111	15	ei	ei	PROPN
app01-7216	111	16	/	/	SYM
app01-7216	111	17	m	m	PROPN
app01-7216	111	18	.	.	PUNCT
app01-7216	112	1	an	an	DET
app01-7216	112	2	applied	applied	ADJ
app01-7216	112	3	end	end	NOUN
app01-7216	112	4	moment	moment	NOUN
app01-7216	112	5	,	,	PUNCT
app01-7216	112	6	m	m	VERB
app01-7216	112	7	=	=	PUNCT
app01-7216	112	8	π/4	π/4	NUM
app01-7216	112	9	,	,	PUNCT
app01-7216	112	10	will	will	AUX
app01-7216	112	11	force	force	VERB
app01-7216	112	12	the	the	DET
app01-7216	112	13	rod	rod	NOUN
app01-7216	112	14	to	to	PART
app01-7216	112	15	deform	deform	VERB
app01-7216	112	16	into	into	ADP
app01-7216	112	17	a	a	DET
app01-7216	112	18	full	full	ADJ
app01-7216	112	19	closed	closed	ADJ
app01-7216	112	20	circle	circle	NOUN
app01-7216	112	21	.	.	PUNCT
app01-7216	113	1	in	in	ADP
app01-7216	113	2	this	this	DET
app01-7216	113	3	example	example	NOUN
app01-7216	113	4	,	,	PUNCT
app01-7216	113	5	the	the	DET
app01-7216	113	6	moment	moment	NOUN
app01-7216	113	7	is	be	AUX
app01-7216	113	8	applied	apply	VERB
app01-7216	113	9	in	in	ADP
app01-7216	113	10	six	six	NUM
app01-7216	113	11	load	load	NOUN
app01-7216	113	12	steps	step	NOUN
app01-7216	113	13	,	,	PUNCT
app01-7216	113	14	making	make	VERB
app01-7216	113	15	the	the	DET
app01-7216	113	16	rod	rod	NOUN
app01-7216	113	17	wind	wind	NOUN
app01-7216	113	18	around	around	ADP
app01-7216	113	19	itself	itself	PRON
app01-7216	113	20	at	at	ADP
app01-7216	113	21	the	the	DET
app01-7216	113	22	end	end	NOUN
app01-7216	113	23	of	of	ADP
app01-7216	113	24	the	the	DET
app01-7216	113	25	sixth	sixth	ADJ
app01-7216	113	26	step	step	NOUN
app01-7216	113	27	.	.	PUNCT
app01-7216	114	1	the	the	DET
app01-7216	114	2	deformed	deform	VERB
app01-7216	114	3	shape	shape	NOUN
app01-7216	114	4	of	of	ADP
app01-7216	114	5	the	the	DET
app01-7216	114	6	beam	beam	NOUN
app01-7216	114	7	at	at	ADP
app01-7216	114	8	the	the	DET
app01-7216	114	9	end	end	NOUN
app01-7216	114	10	of	of	ADP
app01-7216	114	11	each	each	DET
app01-7216	114	12	step	step	NOUN
app01-7216	114	13	is	be	AUX
app01-7216	114	14	depicted	depict	VERB
app01-7216	114	15	in	in	ADP
app01-7216	114	16	fig	fig	NOUN
app01-7216	114	17	.	.	PUNCT
app01-7216	115	1	3	3	X
app01-7216	115	2	.	.	X
app01-7216	115	3	the	the	DET
app01-7216	115	4	solution	solution	NOUN
app01-7216	115	5	of	of	ADP
app01-7216	115	6	the	the	DET
app01-7216	115	7	presented	present	VERB
app01-7216	115	8	figure	figure	NOUN
app01-7216	115	9	4	4	NUM
app01-7216	115	10	.	.	PUNCT
app01-7216	115	11	close	close	VERB
app01-7216	115	12	-	-	PUNCT
app01-7216	115	13	up	up	ADP
app01-7216	115	14	view	view	NOUN
app01-7216	115	15	of	of	ADP
app01-7216	115	16	the	the	DET
app01-7216	115	17	solution	solution	NOUN
app01-7216	115	18	at	at	ADP
app01-7216	115	19	the	the	DET
app01-7216	115	20	end	end	NOUN
app01-7216	115	21	of	of	ADP
app01-7216	115	22	the	the	DET
app01-7216	115	23	sixth	sixth	ADJ
app01-7216	115	24	step	step	NOUN
app01-7216	115	25	using	use	VERB
app01-7216	115	26	6,10,20	6,10,20	NUM
app01-7216	115	27	,	,	PUNCT
app01-7216	115	28	and	and	CCONJ
app01-7216	115	29	50	50	NUM
app01-7216	115	30	segments	segment	NOUN
app01-7216	115	31	.	.	PUNCT
app01-7216	116	1	nonlinear	nonlinear	ADJ
app01-7216	116	2	model	model	NOUN
app01-7216	116	3	is	be	AUX
app01-7216	116	4	compared	compare	VERB
app01-7216	116	5	with	with	ADP
app01-7216	116	6	the	the	DET
app01-7216	116	7	one	one	NOUN
app01-7216	116	8	obtained	obtain	VERB
app01-7216	116	9	by	by	ADP
app01-7216	116	10	employing	employ	VERB
app01-7216	116	11	the	the	DET
app01-7216	116	12	geometrically	geometrically	ADV
app01-7216	116	13	exact	exact	ADJ
app01-7216	116	14	finite	finite	PROPN
app01-7216	116	15	beam	beam	NOUN
app01-7216	116	16	element	element	NOUN
app01-7216	116	17	by	by	ADP
app01-7216	116	18	simo	simo	PROPN
app01-7216	116	19	and	and	CCONJ
app01-7216	116	20	vu	vu	NOUN
app01-7216	116	21	-	-	NOUN
app01-7216	116	22	quoc	quoc	PRON
app01-7216	117	1	[	[	X
app01-7216	117	2	6	6	NUM
app01-7216	117	3	]	]	PUNCT
app01-7216	117	4	with	with	ADP
app01-7216	117	5	a	a	DET
app01-7216	117	6	mesh	mesh	NOUN
app01-7216	117	7	of	of	ADP
app01-7216	117	8	eight	eight	NUM
app01-7216	117	9	elements	element	NOUN
app01-7216	117	10	.	.	PUNCT
app01-7216	118	1	the	the	DET
app01-7216	118	2	exact	exact	ADJ
app01-7216	118	3	solution	solution	NOUN
app01-7216	118	4	is	be	AUX
app01-7216	118	5	reported	report	VERB
app01-7216	118	6	as	as	ADV
app01-7216	118	7	well	well	ADV
app01-7216	118	8	.	.	PUNCT
app01-7216	119	1	the	the	DET
app01-7216	119	2	overall	overall	ADJ
app01-7216	119	3	agreement	agreement	NOUN
app01-7216	119	4	is	be	AUX
app01-7216	119	5	good	good	ADJ
app01-7216	119	6	,	,	PUNCT
app01-7216	119	7	and	and	CCONJ
app01-7216	119	8	the	the	DET
app01-7216	119	9	simulation	simulation	NOUN
app01-7216	119	10	based	base	VERB
app01-7216	119	11	on	on	ADP
app01-7216	119	12	the	the	DET
app01-7216	119	13	present	present	ADJ
app01-7216	119	14	model	model	NOUN
app01-7216	119	15	,	,	PUNCT
app01-7216	119	16	which	which	PRON
app01-7216	119	17	uses	use	VERB
app01-7216	119	18	only	only	ADV
app01-7216	119	19	one	one	NUM
app01-7216	119	20	two	two	NUM
app01-7216	119	21	-	-	PUNCT
app01-7216	119	22	noded	nod	VERB
app01-7216	119	23	element	element	NOUN
app01-7216	119	24	,	,	PUNCT
app01-7216	119	25	is	be	AUX
app01-7216	119	26	closer	close	ADJ
app01-7216	119	27	to	to	ADP
app01-7216	119	28	the	the	DET
app01-7216	119	29	analytical	analytical	ADJ
app01-7216	119	30	solution	solution	NOUN
app01-7216	119	31	.	.	PUNCT
app01-7216	120	1	the	the	DET
app01-7216	120	2	example	example	NOUN
app01-7216	120	3	demonstrates	demonstrate	VERB
app01-7216	120	4	that	that	SCONJ
app01-7216	120	5	the	the	DET
app01-7216	120	6	present	present	ADJ
app01-7216	120	7	model	model	NOUN
app01-7216	120	8	allows	allow	VERB
app01-7216	120	9	for	for	ADP
app01-7216	120	10	a	a	DET
app01-7216	120	11	dramatic	dramatic	ADJ
app01-7216	120	12	reduction	reduction	NOUN
app01-7216	120	13	of	of	ADP
app01-7216	120	14	the	the	DET
app01-7216	120	15	number	number	NOUN
app01-7216	120	16	of	of	ADP
app01-7216	120	17	global	global	ADJ
app01-7216	120	18	degrees	degree	NOUN
app01-7216	120	19	of	of	ADP
app01-7216	120	20	freedom	freedom	NOUN
app01-7216	120	21	,	,	PUNCT
app01-7216	120	22	but	but	CCONJ
app01-7216	120	23	of	of	ADP
app01-7216	120	24	course	course	NOUN
app01-7216	120	25	the	the	DET
app01-7216	120	26	number	number	NOUN
app01-7216	120	27	of	of	ADP
app01-7216	120	28	segments	segment	NOUN
app01-7216	120	29	n	n	PRON
app01-7216	120	30	used	use	VERB
app01-7216	120	31	for	for	ADP
app01-7216	120	32	numerical	numerical	ADJ
app01-7216	120	33	integration	integration	NOUN
app01-7216	120	34	of	of	ADP
app01-7216	120	35	the	the	DET
app01-7216	120	36	governing	govern	VERB
app01-7216	120	37	equations	equation	NOUN
app01-7216	120	38	(	(	PUNCT
app01-7216	120	39	15)–(17	15)–(17	NUM
app01-7216	120	40	)	)	PUNCT
app01-7216	120	41	must	must	AUX
app01-7216	120	42	be	be	AUX
app01-7216	120	43	chosen	choose	VERB
app01-7216	120	44	high	high	ADJ
app01-7216	120	45	enough	enough	ADV
app01-7216	120	46	to	to	PART
app01-7216	120	47	provide	provide	VERB
app01-7216	120	48	a	a	DET
app01-7216	120	49	good	good	ADJ
app01-7216	120	50	approximation	approximation	NOUN
app01-7216	120	51	.	.	PUNCT
app01-7216	121	1	the	the	DET
app01-7216	121	2	presented	present	VERB
app01-7216	121	3	results	result	NOUN
app01-7216	121	4	have	have	AUX
app01-7216	121	5	been	be	AUX
app01-7216	121	6	obtained	obtain	VERB
app01-7216	121	7	using	use	VERB
app01-7216	121	8	100	100	NUM
app01-7216	121	9	segments	segment	NOUN
app01-7216	121	10	.	.	PUNCT
app01-7216	122	1	a	a	DET
app01-7216	122	2	close	close	VERB
app01-7216	122	3	-	-	PUNCT
app01-7216	122	4	up	up	ADP
app01-7216	122	5	view	view	NOUN
app01-7216	122	6	of	of	ADP
app01-7216	122	7	the	the	DET
app01-7216	122	8	sixth	sixth	ADJ
app01-7216	122	9	step	step	NOUN
app01-7216	122	10	circle	circle	NOUN
app01-7216	122	11	is	be	AUX
app01-7216	122	12	showed	show	VERB
app01-7216	122	13	in	in	ADP
app01-7216	122	14	fig	fig	NOUN
app01-7216	122	15	.	.	PUNCT
app01-7216	123	1	5	5	NUM
app01-7216	123	2	for	for	ADP
app01-7216	123	3	calculations	calculation	NOUN
app01-7216	123	4	in	in	ADP
app01-7216	123	5	which	which	PRON
app01-7216	123	6	6	6	NUM
app01-7216	123	7	,	,	PUNCT
app01-7216	123	8	10	10	NUM
app01-7216	123	9	,	,	PUNCT
app01-7216	123	10	20	20	NUM
app01-7216	123	11	and	and	CCONJ
app01-7216	123	12	50	50	NUM
app01-7216	123	13	numerical	numerical	ADJ
app01-7216	123	14	segments	segment	NOUN
app01-7216	123	15	were	be	AUX
app01-7216	123	16	employed	employ	VERB
app01-7216	123	17	.	.	PUNCT
app01-7216	124	1	to	to	PART
app01-7216	124	2	ease	ease	VERB
app01-7216	124	3	the	the	DET
app01-7216	124	4	interpretation	interpretation	NOUN
app01-7216	124	5	of	of	ADP
app01-7216	124	6	the	the	DET
app01-7216	124	7	results	result	NOUN
app01-7216	124	8	we	we	PRON
app01-7216	124	9	plot	plot	VERB
app01-7216	124	10	straight	straight	ADJ
app01-7216	124	11	segments	segment	NOUN
app01-7216	124	12	in	in	ADP
app01-7216	124	13	between	between	ADP
app01-7216	124	14	the	the	DET
app01-7216	124	15	integration	integration	NOUN
app01-7216	124	16	points	point	VERB
app01-7216	124	17	even	even	ADV
app01-7216	124	18	though	though	SCONJ
app01-7216	124	19	the	the	DET
app01-7216	124	20	curvature	curvature	NOUN
app01-7216	124	21	is	be	AUX
app01-7216	124	22	constant	constant	ADJ
app01-7216	124	23	along	along	ADP
app01-7216	124	24	the	the	DET
app01-7216	124	25	beam	beam	NOUN
app01-7216	124	26	.	.	PUNCT
app01-7216	125	1	it	it	PRON
app01-7216	125	2	turns	turn	VERB
app01-7216	125	3	out	out	ADP
app01-7216	125	4	that	that	SCONJ
app01-7216	125	5	20	20	NUM
app01-7216	125	6	segments	segment	NOUN
app01-7216	125	7	provide	provide	VERB
app01-7216	125	8	an	an	DET
app01-7216	125	9	acceptable	acceptable	ADJ
app01-7216	125	10	solution	solution	NOUN
app01-7216	125	11	,	,	PUNCT
app01-7216	125	12	which	which	PRON
app01-7216	125	13	is	be	AUX
app01-7216	125	14	further	far	ADV
app01-7216	125	15	improved	improve	VERB
app01-7216	125	16	and	and	CCONJ
app01-7216	125	17	gets	get	VERB
app01-7216	125	18	close	close	ADJ
app01-7216	125	19	to	to	ADP
app01-7216	125	20	the	the	DET
app01-7216	125	21	analytical	analytical	ADJ
app01-7216	125	22	one	one	NOUN
app01-7216	125	23	if	if	SCONJ
app01-7216	125	24	50	50	NUM
app01-7216	125	25	segments	segment	NOUN
app01-7216	125	26	are	be	AUX
app01-7216	125	27	used	use	VERB
app01-7216	125	28	.	.	PUNCT
app01-7216	126	1	it	it	PRON
app01-7216	126	2	is	be	AUX
app01-7216	126	3	also	also	ADV
app01-7216	126	4	noted	note	VERB
app01-7216	126	5	that	that	SCONJ
app01-7216	126	6	even	even	ADV
app01-7216	126	7	with	with	ADP
app01-7216	126	8	just	just	ADV
app01-7216	126	9	10	10	NUM
app01-7216	126	10	segments	segment	NOUN
app01-7216	126	11	the	the	DET
app01-7216	126	12	method	method	NOUN
app01-7216	126	13	provides	provide	VERB
app01-7216	126	14	an	an	DET
app01-7216	126	15	accurate	accurate	ADJ
app01-7216	126	16	estimation	estimation	NOUN
app01-7216	126	17	of	of	ADP
app01-7216	126	18	displacements	displacement	NOUN
app01-7216	126	19	at	at	ADP
app01-7216	126	20	the	the	DET
app01-7216	126	21	integration	integration	NOUN
app01-7216	126	22	points	point	NOUN
app01-7216	126	23	.	.	PUNCT
app01-7216	127	1	to	to	PART
app01-7216	127	2	better	well	ADV
app01-7216	127	3	quantify	quantify	VERB
app01-7216	127	4	the	the	DET
app01-7216	127	5	previous	previous	ADJ
app01-7216	127	6	comparisons	comparison	NOUN
app01-7216	127	7	,	,	PUNCT
app01-7216	127	8	we	we	PRON
app01-7216	127	9	calculated	calculate	VERB
app01-7216	127	10	the	the	DET
app01-7216	127	11	sum	sum	NOUN
app01-7216	127	12	of	of	ADP
app01-7216	127	13	the	the	DET
app01-7216	127	14	distances	distance	NOUN
app01-7216	127	15	between	between	ADP
app01-7216	127	16	the	the	DET
app01-7216	127	17	the	the	DET
app01-7216	127	18	analytical	analytical	NOUN
app01-7216	127	19	and	and	CCONJ
app01-7216	127	20	the	the	DET
app01-7216	127	21	computed	computed	ADJ
app01-7216	127	22	solutions	solution	NOUN
app01-7216	127	23	,	,	PUNCT
app01-7216	127	24	normalized	normalize	VERB
app01-7216	127	25	with	with	ADP
app01-7216	127	26	respect	respect	NOUN
app01-7216	127	27	to	to	ADP
app01-7216	127	28	the	the	DET
app01-7216	127	29	number	number	NOUN
app01-7216	127	30	of	of	ADP
app01-7216	127	31	sample	sample	NOUN
app01-7216	127	32	points	point	NOUN
app01-7216	127	33	.	.	PUNCT
app01-7216	128	1	the	the	DET
app01-7216	128	2	results	result	NOUN
app01-7216	128	3	for	for	ADP
app01-7216	128	4	the	the	DET
app01-7216	128	5	sixth	sixth	ADJ
app01-7216	128	6	load	load	NOUN
app01-7216	128	7	step	step	NOUN
app01-7216	128	8	are	be	AUX
app01-7216	128	9	reported	report	VERB
app01-7216	128	10	in	in	ADP
app01-7216	128	11	table	table	NOUN
app01-7216	128	12	1	1	NUM
app01-7216	128	13	.	.	PUNCT
app01-7216	129	1	already	already	ADV
app01-7216	129	2	for	for	ADP
app01-7216	129	3	8	8	NUM
app01-7216	129	4	integration	integration	NOUN
app01-7216	129	5	segments	segment	NOUN
app01-7216	129	6	,	,	PUNCT
app01-7216	129	7	the	the	DET
app01-7216	129	8	error	error	NOUN
app01-7216	129	9	is	be	AUX
app01-7216	129	10	smaller	small	ADJ
app01-7216	129	11	that	that	SCONJ
app01-7216	129	12	5	5	NUM
app01-7216	129	13	%	%	NOUN
app01-7216	129	14	.	.	PUNCT
app01-7216	130	1	the	the	DET
app01-7216	130	2	results	result	NOUN
app01-7216	130	3	indicate	indicate	VERB
app01-7216	130	4	that	that	SCONJ
app01-7216	130	5	comparable	comparable	ADJ
app01-7216	130	6	accuracy	accuracy	NOUN
app01-7216	130	7	can	can	AUX
app01-7216	130	8	be	be	AUX
app01-7216	130	9	obtained	obtain	VERB
app01-7216	130	10	if	if	SCONJ
app01-7216	130	11	the	the	DET
app01-7216	130	12	present	present	ADJ
app01-7216	130	13	method	method	NOUN
app01-7216	130	14	replaces	replace	VERB
app01-7216	130	15	traditional	traditional	ADJ
app01-7216	130	16	finite	finite	ADJ
app01-7216	130	17	elements	element	NOUN
app01-7216	130	18	by	by	ADP
app01-7216	130	19	the	the	DET
app01-7216	130	20	same	same	ADJ
app01-7216	130	21	number	number	NOUN
app01-7216	130	22	of	of	ADP
app01-7216	130	23	integration	integration	NOUN
app01-7216	130	24	segments	segment	NOUN
app01-7216	130	25	located	locate	VERB
app01-7216	130	26	within	within	ADP
app01-7216	130	27	one	one	NUM
app01-7216	130	28	single	single	ADJ
app01-7216	130	29	finite	finite	NOUN
app01-7216	130	30	element	element	NOUN
app01-7216	130	31	.	.	PUNCT
app01-7216	131	1	3.2	3.2	NUM
app01-7216	131	2	.	.	PUNCT
app01-7216	131	3	clamped	clamp	VERB
app01-7216	131	4	-	-	PUNCT
app01-7216	131	5	hinged	hinge	VERB
app01-7216	131	6	circular	circular	ADJ
app01-7216	131	7	arch	arch	ADJ
app01-7216	131	8	subject	subject	NOUN
app01-7216	131	9	to	to	ADP
app01-7216	131	10	point	point	NOUN
app01-7216	131	11	load	load	NOUN
app01-7216	131	12	the	the	DET
app01-7216	131	13	second	second	ADJ
app01-7216	131	14	example	example	NOUN
app01-7216	131	15	deals	deal	VERB
app01-7216	131	16	with	with	ADP
app01-7216	131	17	an	an	DET
app01-7216	131	18	arch	arch	ADJ
app01-7216	131	19	instability	instability	NOUN
app01-7216	131	20	after	after	ADP
app01-7216	131	21	large	large	ADJ
app01-7216	131	22	asymmetrical	asymmetrical	ADJ
app01-7216	131	23	deflections	deflection	NOUN
app01-7216	131	24	.	.	PUNCT
app01-7216	132	1	this	this	DET
app01-7216	132	2	specific	specific	ADJ
app01-7216	132	3	90	90	NUM
app01-7216	132	4	vol	vol	NOUN
app01-7216	132	5	.	.	PUNCT
app01-7216	133	1	30/2021	30/2021	NUM
app01-7216	133	2	beam	beam	NOUN
app01-7216	133	3	element	element	NOUN
app01-7216	133	4	under	under	ADP
app01-7216	133	5	finite	finite	ADJ
app01-7216	133	6	rotations	rotation	NOUN
app01-7216	133	7	model	model	NOUN
app01-7216	133	8	error	error	NOUN
app01-7216	133	9	[	[	X
app01-7216	133	10	%	%	X
app01-7216	133	11	]	]	X
app01-7216	133	12	simo	simo	NOUN
app01-7216	133	13	and	and	CCONJ
app01-7216	133	14	vu	vu	PROPN
app01-7216	133	15	-	-	NOUN
app01-7216	133	16	quoc	quoc	PRON
app01-7216	133	17	[	[	X
app01-7216	133	18	6	6	NUM
app01-7216	133	19	]	]	SYM
app01-7216	133	20	2.98	2.98	NUM
app01-7216	133	21	present	present	ADJ
app01-7216	133	22	approach	approach	NOUN
app01-7216	133	23	,	,	PUNCT
app01-7216	133	24	101	101	NUM
app01-7216	133	25	segments	segment	NOUN
app01-7216	133	26	0.23	0.23	NUM
app01-7216	133	27	present	present	ADJ
app01-7216	133	28	approach	approach	NOUN
app01-7216	133	29	,	,	PUNCT
app01-7216	133	30	50	50	NUM
app01-7216	133	31	segments	segment	NOUN
app01-7216	133	32	0.29	0.29	NUM
app01-7216	133	33	present	present	ADJ
app01-7216	133	34	approach	approach	NOUN
app01-7216	133	35	,	,	PUNCT
app01-7216	133	36	20	20	NUM
app01-7216	133	37	segments	segment	NOUN
app01-7216	133	38	0.70	0.70	NUM
app01-7216	133	39	present	present	ADJ
app01-7216	133	40	approach	approach	NOUN
app01-7216	133	41	,	,	PUNCT
app01-7216	133	42	10	10	NUM
app01-7216	133	43	segments	segment	NOUN
app01-7216	133	44	2.13	2.13	NUM
app01-7216	133	45	present	present	ADJ
app01-7216	133	46	approach	approach	NOUN
app01-7216	133	47	,	,	PUNCT
app01-7216	133	48	8	8	NUM
app01-7216	133	49	segments	segment	NOUN
app01-7216	133	50	3.17	3.17	NUM
app01-7216	133	51	present	present	ADJ
app01-7216	133	52	approach	approach	NOUN
app01-7216	133	53	,	,	PUNCT
app01-7216	133	54	6	6	NUM
app01-7216	133	55	segments	segment	NOUN
app01-7216	133	56	5.39	5.39	NUM
app01-7216	133	57	table	table	NOUN
app01-7216	133	58	1	1	NUM
app01-7216	133	59	.	.	X
app01-7216	133	60	sum	sum	NOUN
app01-7216	133	61	of	of	ADP
app01-7216	133	62	the	the	DET
app01-7216	133	63	absolute	absolute	ADJ
app01-7216	133	64	values	value	NOUN
app01-7216	133	65	of	of	ADP
app01-7216	133	66	the	the	DET
app01-7216	133	67	differences	difference	NOUN
app01-7216	133	68	between	between	ADP
app01-7216	133	69	the	the	DET
app01-7216	133	70	exact	exact	NOUN
app01-7216	133	71	and	and	CCONJ
app01-7216	133	72	the	the	DET
app01-7216	133	73	computed	computed	ADJ
app01-7216	133	74	displacement	displacement	ADJ
app01-7216	133	75	solutions	solution	NOUN
app01-7216	133	76	calculated	calculate	VERB
app01-7216	133	77	for	for	ADP
app01-7216	133	78	the	the	DET
app01-7216	133	79	sixth	sixth	ADJ
app01-7216	133	80	load	load	NOUN
app01-7216	133	81	step	step	NOUN
app01-7216	133	82	.	.	PUNCT
app01-7216	134	1	the	the	DET
app01-7216	134	2	model	model	NOUN
app01-7216	134	3	of	of	ADP
app01-7216	134	4	simo	simo	PROPN
app01-7216	134	5	and	and	CCONJ
app01-7216	134	6	vu	vu	NOUN
app01-7216	134	7	-	-	NOUN
app01-7216	134	8	quoc	quoc	PRON
app01-7216	134	9	[	[	X
app01-7216	134	10	6	6	NUM
app01-7216	134	11	]	]	PUNCT
app01-7216	134	12	uses	use	VERB
app01-7216	134	13	an	an	DET
app01-7216	134	14	eight	eight	NUM
app01-7216	134	15	-	-	PUNCT
app01-7216	134	16	element	element	NOUN
app01-7216	134	17	mesh	mesh	NOUN
app01-7216	134	18	while	while	SCONJ
app01-7216	134	19	the	the	DET
app01-7216	134	20	presented	present	VERB
app01-7216	134	21	beam	beam	NOUN
app01-7216	134	22	model	model	NOUN
app01-7216	134	23	uses	use	VERB
app01-7216	134	24	one	one	NUM
app01-7216	134	25	element	element	NOUN
app01-7216	134	26	with	with	ADP
app01-7216	134	27	a	a	DET
app01-7216	134	28	variable	variable	ADJ
app01-7216	134	29	number	number	NOUN
app01-7216	134	30	of	of	ADP
app01-7216	134	31	segments	segment	NOUN
app01-7216	134	32	of	of	ADP
app01-7216	134	33	the	the	DET
app01-7216	134	34	integration	integration	NOUN
app01-7216	134	35	scheme	scheme	NOUN
app01-7216	134	36	.	.	PUNCT
app01-7216	135	1	figure	figure	NOUN
app01-7216	135	2	5	5	NUM
app01-7216	135	3	.	.	PUNCT
app01-7216	135	4	circular	circular	ADJ
app01-7216	135	5	arch	arch	ADJ
app01-7216	135	6	geometry	geometry	NOUN
app01-7216	135	7	.	.	PUNCT
app01-7216	136	1	problem	problem	NOUN
app01-7216	136	2	was	be	AUX
app01-7216	136	3	investigated	investigate	VERB
app01-7216	136	4	by	by	ADP
app01-7216	136	5	many	many	ADJ
app01-7216	136	6	authors	author	NOUN
app01-7216	136	7	[	[	X
app01-7216	136	8	6	6	NUM
app01-7216	136	9	,	,	PUNCT
app01-7216	136	10	9	9	NUM
app01-7216	136	11	]	]	PUNCT
app01-7216	136	12	and	and	CCONJ
app01-7216	136	13	the	the	DET
app01-7216	136	14	exact	exact	ADJ
app01-7216	136	15	solution	solution	NOUN
app01-7216	136	16	based	base	VERB
app01-7216	136	17	on	on	ADP
app01-7216	136	18	the	the	DET
app01-7216	136	19	kirchhoff	kirchhoff	NOUN
app01-7216	136	20	-	-	PUNCT
app01-7216	136	21	love	love	NOUN
app01-7216	136	22	theory	theory	NOUN
app01-7216	136	23	was	be	AUX
app01-7216	136	24	given	give	VERB
app01-7216	136	25	by	by	ADP
app01-7216	136	26	dadeppo	dadeppo	NOUN
app01-7216	136	27	and	and	CCONJ
app01-7216	136	28	schmidt	schmidt	NOUN
app01-7216	137	1	[	[	X
app01-7216	137	2	10	10	NUM
app01-7216	137	3	]	]	PUNCT
app01-7216	137	4	.	.	PUNCT
app01-7216	138	1	the	the	DET
app01-7216	138	2	arch	arch	NOUN
app01-7216	138	3	is	be	AUX
app01-7216	138	4	circular	circular	ADJ
app01-7216	138	5	with	with	ADP
app01-7216	138	6	one	one	NUM
app01-7216	138	7	boundary	boundary	NOUN
app01-7216	138	8	clamped	clamp	VERB
app01-7216	138	9	and	and	CCONJ
app01-7216	138	10	the	the	DET
app01-7216	138	11	other	other	ADJ
app01-7216	138	12	boundary	boundary	ADJ
app01-7216	138	13	hinged	hinged	NOUN
app01-7216	138	14	,	,	PUNCT
app01-7216	138	15	and	and	CCONJ
app01-7216	138	16	is	be	AUX
app01-7216	138	17	loaded	load	VERB
app01-7216	138	18	by	by	ADP
app01-7216	138	19	a	a	DET
app01-7216	138	20	point	point	NOUN
app01-7216	138	21	load	load	NOUN
app01-7216	138	22	,	,	PUNCT
app01-7216	138	23	as	as	SCONJ
app01-7216	138	24	shown	show	VERB
app01-7216	138	25	in	in	ADP
app01-7216	138	26	fig	fig	NOUN
app01-7216	138	27	.	.	PUNCT
app01-7216	139	1	5	5	X
app01-7216	139	2	.	.	X
app01-7216	139	3	the	the	DET
app01-7216	139	4	cross	cross	NOUN
app01-7216	139	5	section	section	NOUN
app01-7216	139	6	of	of	ADP
app01-7216	139	7	the	the	DET
app01-7216	139	8	beam	beam	NOUN
app01-7216	139	9	is	be	AUX
app01-7216	139	10	a	a	DET
app01-7216	139	11	rectangle	rectangle	NOUN
app01-7216	139	12	of	of	ADP
app01-7216	139	13	depth	depth	NOUN
app01-7216	139	14	h	h	NOUN
app01-7216	139	15	=	=	NOUN
app01-7216	139	16	2.289	2.289	NUM
app01-7216	139	17	and	and	CCONJ
app01-7216	139	18	width	width	ADJ
app01-7216	139	19	t	t	NOUN
app01-7216	139	20	=	=	SYM
app01-7216	139	21	1.0	1.0	NUM
app01-7216	139	22	.	.	PUNCT
app01-7216	140	1	the	the	DET
app01-7216	140	2	elastic	elastic	ADJ
app01-7216	140	3	modulus	modulus	NOUN
app01-7216	140	4	is	be	AUX
app01-7216	140	5	set	set	VERB
app01-7216	140	6	to	to	ADP
app01-7216	140	7	e	e	PROPN
app01-7216	140	8	=	=	SYM
app01-7216	140	9	1.0	1.0	NUM
app01-7216	140	10	×	×	NOUN
app01-7216	140	11	106	106	NUM
app01-7216	140	12	and	and	CCONJ
app01-7216	140	13	the	the	DET
app01-7216	140	14	poisson	poisson	PROPN
app01-7216	140	15	ratio	ratio	NOUN
app01-7216	140	16	is	be	AUX
app01-7216	140	17	zero	zero	NUM
app01-7216	140	18	.	.	PUNCT
app01-7216	141	1	geometrical	geometrical	ADJ
app01-7216	141	2	and	and	CCONJ
app01-7216	141	3	constitutive	constitutive	ADJ
app01-7216	141	4	parameters	parameter	NOUN
app01-7216	141	5	are	be	AUX
app01-7216	141	6	dimensionless	dimensionless	ADJ
app01-7216	141	7	meaning	mean	VERB
app01-7216	141	8	that	that	SCONJ
app01-7216	141	9	any	any	DET
app01-7216	141	10	length	length	NOUN
app01-7216	141	11	or	or	CCONJ
app01-7216	141	12	force	force	NOUN
app01-7216	141	13	scale	scale	NOUN
app01-7216	141	14	can	can	AUX
app01-7216	141	15	be	be	AUX
app01-7216	141	16	used	use	VERB
app01-7216	141	17	for	for	ADP
app01-7216	141	18	these	these	DET
app01-7216	141	19	values	value	NOUN
app01-7216	141	20	.	.	PUNCT
app01-7216	142	1	simo	simo	PROPN
app01-7216	142	2	and	and	CCONJ
app01-7216	142	3	vu	vu	PROPN
app01-7216	142	4	-	-	NOUN
app01-7216	142	5	quoc	quoc	PRON
app01-7216	142	6	[	[	X
app01-7216	142	7	6	6	NUM
app01-7216	142	8	]	]	PUNCT
app01-7216	142	9	performed	perform	VERB
app01-7216	142	10	a	a	DET
app01-7216	142	11	fe	fe	NOUN
app01-7216	142	12	analysis	analysis	NOUN
app01-7216	142	13	with	with	ADP
app01-7216	142	14	a	a	DET
app01-7216	142	15	forty	forty	NUM
app01-7216	142	16	-	-	PUNCT
app01-7216	142	17	element	element	NOUN
app01-7216	142	18	mesh	mesh	NOUN
app01-7216	142	19	,	,	PUNCT
app01-7216	142	20	leading	lead	VERB
app01-7216	142	21	to	to	ADP
app01-7216	142	22	a	a	DET
app01-7216	142	23	buckling	buckle	VERB
app01-7216	142	24	load	load	NOUN
app01-7216	142	25	of	of	ADP
app01-7216	142	26	9.0528	9.0528	NUM
app01-7216	142	27	ei	ei	NOUN
app01-7216	142	28	/	/	SYM
app01-7216	142	29	r2	r2	NOUN
app01-7216	142	30	,	,	PUNCT
app01-7216	142	31	while	while	SCONJ
app01-7216	142	32	wood	wood	NOUN
app01-7216	142	33	and	and	CCONJ
app01-7216	142	34	zienkiewicz	zienkiewicz	NOUN
app01-7216	143	1	[	[	X
app01-7216	143	2	9	9	NUM
app01-7216	143	3	]	]	PUNCT
app01-7216	143	4	calculated	calculate	VERB
app01-7216	143	5	a	a	DET
app01-7216	143	6	buckling	buckle	VERB
app01-7216	143	7	load	load	NOUN
app01-7216	143	8	of	of	ADP
app01-7216	143	9	9.24	9.24	NUM
app01-7216	143	10	ei	ei	NOUN
app01-7216	143	11	/	/	SYM
app01-7216	143	12	r2	r2	PROPN
app01-7216	143	13	.	.	PUNCT
app01-7216	144	1	the	the	DET
app01-7216	144	2	exact	exact	ADJ
app01-7216	144	3	value	value	NOUN
app01-7216	144	4	of	of	ADP
app01-7216	144	5	the	the	DET
app01-7216	144	6	buckling	buckle	VERB
app01-7216	144	7	load	load	NOUN
app01-7216	144	8	reported	report	VERB
app01-7216	144	9	by	by	ADP
app01-7216	144	10	dadeppo	dadeppo	NOUN
app01-7216	144	11	and	and	CCONJ
app01-7216	144	12	schmidt	schmidt	NOUN
app01-7216	144	13	[	[	X
app01-7216	144	14	10	10	NUM
app01-7216	144	15	]	]	PUNCT
app01-7216	144	16	is	be	AUX
app01-7216	144	17	8.97	8.97	NUM
app01-7216	144	18	ei	ei	NOUN
app01-7216	144	19	/	/	SYM
app01-7216	144	20	r2	r2	PROPN
app01-7216	144	21	.	.	PUNCT
app01-7216	145	1	in	in	ADP
app01-7216	145	2	our	our	PRON
app01-7216	145	3	simulations	simulation	NOUN
app01-7216	145	4	,	,	PUNCT
app01-7216	145	5	we	we	PRON
app01-7216	145	6	used	use	VERB
app01-7216	145	7	forty	forty	NUM
app01-7216	145	8	elements	element	NOUN
app01-7216	145	9	as	as	ADV
app01-7216	145	10	well	well	ADV
app01-7216	145	11	,	,	PUNCT
app01-7216	145	12	each	each	PRON
app01-7216	145	13	with	with	ADP
app01-7216	145	14	four	four	NUM
app01-7216	145	15	integration	integration	NOUN
app01-7216	145	16	segments	segment	NOUN
app01-7216	145	17	,	,	PUNCT
app01-7216	145	18	and	and	CCONJ
app01-7216	145	19	we	we	PRON
app01-7216	145	20	obtained	obtain	VERB
app01-7216	145	21	a	a	DET
app01-7216	145	22	buckling	buckle	VERB
app01-7216	145	23	load	load	NOUN
app01-7216	145	24	of	of	ADP
app01-7216	145	25	8.9874	8.9874	NUM
app01-7216	145	26	ei	ei	NOUN
app01-7216	145	27	/	/	SYM
app01-7216	145	28	r2	r2	PROPN
app01-7216	145	29	,	,	PUNCT
app01-7216	145	30	which	which	PRON
app01-7216	145	31	is	be	AUX
app01-7216	145	32	very	very	ADV
app01-7216	145	33	close	close	ADJ
app01-7216	145	34	to	to	ADP
app01-7216	145	35	the	the	DET
app01-7216	145	36	analytical	analytical	ADJ
app01-7216	145	37	solution	solution	NOUN
app01-7216	145	38	and	and	CCONJ
app01-7216	145	39	exhibits	exhibit	VERB
app01-7216	145	40	a	a	DET
app01-7216	145	41	relative	relative	ADJ
app01-7216	145	42	error	error	NOUN
app01-7216	145	43	less	less	ADJ
app01-7216	145	44	than	than	ADP
app01-7216	145	45	0.02	0.02	NUM
app01-7216	145	46	%	%	NOUN
app01-7216	145	47	.	.	PUNCT
app01-7216	146	1	the	the	DET
app01-7216	146	2	full	full	ADJ
app01-7216	146	3	comparison	comparison	NOUN
app01-7216	146	4	with	with	ADP
app01-7216	146	5	the	the	DET
app01-7216	146	6	analytical	analytical	ADJ
app01-7216	146	7	solution	solution	NOUN
app01-7216	146	8	is	be	AUX
app01-7216	146	9	reported	report	VERB
app01-7216	146	10	in	in	ADP
app01-7216	146	11	fig	fig	NOUN
app01-7216	146	12	.	.	PUNCT
app01-7216	147	1	6	6	NUM
app01-7216	147	2	where	where	SCONJ
app01-7216	147	3	we	we	PRON
app01-7216	147	4	plot	plot	VERB
app01-7216	147	5	the	the	DET
app01-7216	147	6	load	load	NOUN
app01-7216	147	7	-	-	PUNCT
app01-7216	147	8	displacement	displacement	NOUN
app01-7216	147	9	and	and	CCONJ
app01-7216	147	10	the	the	DET
app01-7216	147	11	load	load	NOUN
app01-7216	147	12	-	-	PUNCT
app01-7216	147	13	rotation	rotation	NOUN
app01-7216	147	14	curves	curve	NOUN
app01-7216	147	15	relative	relative	ADJ
app01-7216	147	16	to	to	ADP
app01-7216	147	17	the	the	DET
app01-7216	147	18	top	top	NOUN
app01-7216	147	19	of	of	ADP
app01-7216	147	20	the	the	DET
app01-7216	147	21	arch	arch	NOUN
app01-7216	147	22	(	(	PUNCT
app01-7216	147	23	loaded	loaded	ADJ
app01-7216	147	24	point	point	NOUN
app01-7216	147	25	)	)	PUNCT
app01-7216	147	26	.	.	PUNCT
app01-7216	148	1	again	again	ADV
app01-7216	148	2	,	,	PUNCT
app01-7216	148	3	the	the	DET
app01-7216	148	4	analytical	analytical	ADJ
app01-7216	148	5	solution	solution	NOUN
app01-7216	148	6	is	be	AUX
app01-7216	148	7	satisfactorily	satisfactorily	ADV
app01-7216	148	8	reproduced	reproduce	VERB
app01-7216	148	9	.	.	PUNCT
app01-7216	149	1	the	the	DET
app01-7216	149	2	deformed	deform	VERB
app01-7216	149	3	configurations	configuration	NOUN
app01-7216	149	4	for	for	ADP
app01-7216	149	5	the	the	DET
app01-7216	149	6	four	four	NUM
app01-7216	149	7	load	load	NOUN
app01-7216	149	8	levels	level	NOUN
app01-7216	149	9	numbered	number	VERB
app01-7216	149	10	in	in	ADP
app01-7216	149	11	the	the	DET
app01-7216	149	12	curves	curve	NOUN
app01-7216	149	13	are	be	AUX
app01-7216	149	14	also	also	ADV
app01-7216	149	15	shown	show	VERB
app01-7216	149	16	together	together	ADV
app01-7216	149	17	with	with	ADP
app01-7216	149	18	the	the	DET
app01-7216	149	19	bending	bend	VERB
app01-7216	149	20	moments	moment	NOUN
app01-7216	149	21	indicated	indicate	VERB
app01-7216	149	22	by	by	ADP
app01-7216	149	23	colors	color	NOUN
app01-7216	149	24	.	.	PUNCT
app01-7216	150	1	the	the	DET
app01-7216	150	2	calculation	calculation	NOUN
app01-7216	150	3	was	be	AUX
app01-7216	150	4	completed	complete	VERB
app01-7216	150	5	in	in	ADP
app01-7216	150	6	612	612	NUM
app01-7216	150	7	load	load	NOUN
app01-7216	150	8	steps	step	NOUN
app01-7216	150	9	using	use	VERB
app01-7216	150	10	the	the	DET
app01-7216	150	11	arc	arc	NOUN
app01-7216	150	12	-	-	PUNCT
app01-7216	150	13	length	length	NOUN
app01-7216	150	14	method	method	NOUN
app01-7216	150	15	with	with	ADP
app01-7216	150	16	a	a	DET
app01-7216	150	17	1	1	NUM
app01-7216	150	18	2	2	NUM
app01-7216	150	19	3	3	NUM
app01-7216	150	20	4	4	NUM
app01-7216	150	21	1	1	NUM
app01-7216	150	22	2	2	NUM
app01-7216	150	23	3	3	NUM
app01-7216	150	24	4	4	NUM
app01-7216	150	25	1	1	NUM
app01-7216	150	26	2	2	NUM
app01-7216	150	27	3	3	NUM
app01-7216	150	28	1	1	NUM
app01-7216	150	29	2	2	NUM
app01-7216	150	30	3	3	NUM
app01-7216	150	31	4	4	NUM
app01-7216	150	32	figure	figure	NOUN
app01-7216	150	33	6	6	NUM
app01-7216	150	34	.	.	PUNCT
app01-7216	150	35	load	load	NOUN
app01-7216	150	36	-	-	PUNCT
app01-7216	150	37	displacements	displacement	NOUN
app01-7216	150	38	and	and	CCONJ
app01-7216	150	39	load	load	NOUN
app01-7216	150	40	-	-	PUNCT
app01-7216	150	41	rotation	rotation	NOUN
app01-7216	150	42	of	of	ADP
app01-7216	150	43	the	the	DET
app01-7216	150	44	top	top	NOUN
app01-7216	150	45	of	of	ADP
app01-7216	150	46	the	the	DET
app01-7216	150	47	arch	arch	ADJ
app01-7216	150	48	(	(	PUNCT
app01-7216	150	49	top	top	NOUN
app01-7216	150	50	)	)	PUNCT
app01-7216	150	51	.	.	PUNCT
app01-7216	151	1	grey	grey	PROPN
app01-7216	151	2	-	-	PUNCT
app01-7216	151	3	dashed	dash	VERB
app01-7216	151	4	line	line	NOUN
app01-7216	151	5	represents	represent	VERB
app01-7216	151	6	the	the	DET
app01-7216	151	7	analytical	analytical	ADJ
app01-7216	151	8	solution	solution	NOUN
app01-7216	151	9	reported	report	VERB
app01-7216	151	10	by	by	ADP
app01-7216	151	11	dadeppo	dadeppo	NOUN
app01-7216	151	12	and	and	CCONJ
app01-7216	151	13	schmidt	schmidt	NOUN
app01-7216	151	14	[	[	X
app01-7216	151	15	10	10	NUM
app01-7216	151	16	]	]	PUNCT
app01-7216	151	17	.	.	PUNCT
app01-7216	152	1	deformed	deform	VERB
app01-7216	152	2	shapes	shape	NOUN
app01-7216	152	3	and	and	CCONJ
app01-7216	152	4	moment	moment	NOUN
app01-7216	152	5	trend	trend	NOUN
app01-7216	152	6	along	along	ADP
app01-7216	152	7	the	the	DET
app01-7216	152	8	arch	arch	ADJ
app01-7216	152	9	relative	relative	NOUN
app01-7216	152	10	to	to	ADP
app01-7216	152	11	the	the	DET
app01-7216	152	12	four	four	NUM
app01-7216	152	13	load	load	NOUN
app01-7216	152	14	levels	level	NOUN
app01-7216	152	15	numbered	number	VERB
app01-7216	152	16	in	in	ADP
app01-7216	152	17	the	the	DET
app01-7216	152	18	top	top	ADJ
app01-7216	152	19	curves	curve	NOUN
app01-7216	152	20	.	.	PUNCT
app01-7216	153	1	maximum	maximum	ADJ
app01-7216	153	2	number	number	NOUN
app01-7216	153	3	of	of	ADP
app01-7216	153	4	3	3	NUM
app01-7216	153	5	iterations	iteration	NOUN
app01-7216	153	6	per	per	ADP
app01-7216	153	7	step	step	NOUN
app01-7216	153	8	.	.	PUNCT
app01-7216	154	1	it	it	PRON
app01-7216	154	2	is	be	AUX
app01-7216	154	3	noted	note	VERB
app01-7216	154	4	that	that	SCONJ
app01-7216	154	5	simo	simo	PROPN
app01-7216	154	6	and	and	CCONJ
app01-7216	154	7	vu	vu	NOUN
app01-7216	154	8	-	-	NOUN
app01-7216	154	9	quoc	quoc	PRON
app01-7216	154	10	[	[	X
app01-7216	154	11	6	6	NUM
app01-7216	154	12	]	]	PUNCT
app01-7216	154	13	and	and	CCONJ
app01-7216	154	14	wood	wood	NOUN
app01-7216	154	15	and	and	CCONJ
app01-7216	154	16	zienkiewicz	zienkiewicz	NOUN
app01-7216	154	17	[	[	X
app01-7216	154	18	9	9	NUM
app01-7216	154	19	]	]	PUNCT
app01-7216	154	20	show	show	VERB
app01-7216	154	21	a	a	DET
app01-7216	154	22	longer	long	ADJ
app01-7216	154	23	snap	snap	VERB
app01-7216	154	24	-	-	PUNCT
app01-7216	154	25	through	through	ADP
app01-7216	154	26	behavior	behavior	NOUN
app01-7216	154	27	together	together	ADV
app01-7216	154	28	with	with	ADP
app01-7216	154	29	the	the	DET
app01-7216	154	30	associated	associated	ADJ
app01-7216	154	31	deformed	deform	VERB
app01-7216	154	32	shapes	shape	NOUN
app01-7216	154	33	even	even	ADV
app01-7216	154	34	though	though	SCONJ
app01-7216	154	35	the	the	DET
app01-7216	154	36	response	response	NOUN
app01-7216	154	37	is	be	AUX
app01-7216	154	38	not	not	PART
app01-7216	154	39	reasonable	reasonable	ADJ
app01-7216	154	40	because	because	SCONJ
app01-7216	154	41	of	of	ADP
app01-7216	154	42	non	non	ADJ
app01-7216	154	43	-	-	ADJ
app01-7216	154	44	physical	physical	ADJ
app01-7216	154	45	penetration	penetration	NOUN
app01-7216	154	46	of	of	ADP
app01-7216	154	47	the	the	DET
app01-7216	154	48	left	left	ADJ
app01-7216	154	49	support	support	NOUN
app01-7216	154	50	into	into	ADP
app01-7216	154	51	the	the	DET
app01-7216	154	52	structure	structure	NOUN
app01-7216	154	53	.	.	PUNCT
app01-7216	155	1	this	this	DET
app01-7216	155	2	aspect	aspect	NOUN
app01-7216	155	3	was	be	AUX
app01-7216	155	4	investigated	investigate	VERB
app01-7216	155	5	by	by	ADP
app01-7216	155	6	simo	simo	PROPN
app01-7216	155	7	et	et	PROPN
app01-7216	155	8	al	al	PROPN
app01-7216	155	9	.	.	PUNCT
app01-7216	156	1	[	[	X
app01-7216	156	2	11	11	NUM
app01-7216	156	3	]	]	PUNCT
app01-7216	156	4	,	,	PUNCT
app01-7216	156	5	who	who	PRON
app01-7216	156	6	showed	show	VERB
app01-7216	156	7	that	that	SCONJ
app01-7216	156	8	a	a	DET
app01-7216	156	9	contact	contact	NOUN
app01-7216	156	10	constraint	constraint	NOUN
app01-7216	156	11	condition	condition	NOUN
app01-7216	156	12	on	on	ADP
app01-7216	156	13	the	the	DET
app01-7216	156	14	left	left	ADJ
app01-7216	156	15	support	support	NOUN
app01-7216	156	16	needs	need	VERB
app01-7216	156	17	to	to	PART
app01-7216	156	18	be	be	AUX
app01-7216	156	19	introduced	introduce	VERB
app01-7216	156	20	to	to	PART
app01-7216	156	21	obtain	obtain	VERB
app01-7216	156	22	a	a	DET
app01-7216	156	23	more	more	ADV
app01-7216	156	24	realistic	realistic	ADJ
app01-7216	156	25	solution	solution	NOUN
app01-7216	156	26	.	.	PUNCT
app01-7216	157	1	for	for	ADP
app01-7216	157	2	the	the	DET
app01-7216	157	3	aim	aim	NOUN
app01-7216	157	4	of	of	ADP
app01-7216	157	5	91	91	NUM
app01-7216	157	6	e.	e.	PROPN
app01-7216	157	7	la	la	PROPN
app01-7216	157	8	malfa	malfa	PROPN
app01-7216	157	9	ribolla	ribolla	NOUN
app01-7216	157	10	,	,	PUNCT
app01-7216	157	11	m.	m.	NOUN
app01-7216	157	12	jirásek	jirásek	NOUN
app01-7216	157	13	,	,	PUNCT
app01-7216	157	14	m.	m.	PROPN
app01-7216	157	15	horák	horák	PROPN
app01-7216	157	16	acta	acta	PROPN
app01-7216	157	17	polytechnica	polytechnica	PROPN
app01-7216	157	18	ctu	ctu	NOUN
app01-7216	157	19	proceedings	proceeding	NOUN
app01-7216	157	20	this	this	DET
app01-7216	157	21	paper	paper	NOUN
app01-7216	157	22	we	we	PRON
app01-7216	157	23	did	do	AUX
app01-7216	157	24	not	not	PART
app01-7216	157	25	consider	consider	VERB
app01-7216	157	26	contact	contact	NOUN
app01-7216	157	27	activation	activation	NOUN
app01-7216	157	28	and	and	CCONJ
app01-7216	157	29	the	the	DET
app01-7216	157	30	subsequent	subsequent	ADJ
app01-7216	157	31	stiffening	stiffening	NOUN
app01-7216	157	32	effect	effect	NOUN
app01-7216	157	33	in	in	ADP
app01-7216	157	34	the	the	DET
app01-7216	157	35	structure	structure	NOUN
app01-7216	157	36	even	even	ADV
app01-7216	157	37	though	though	SCONJ
app01-7216	157	38	this	this	DET
app01-7216	157	39	extension	extension	NOUN
app01-7216	157	40	could	could	AUX
app01-7216	157	41	be	be	AUX
app01-7216	157	42	added	add	VERB
app01-7216	157	43	.	.	PUNCT
app01-7216	158	1	4	4	X
app01-7216	158	2	.	.	X
app01-7216	158	3	conclusions	conclusion	NOUN
app01-7216	158	4	we	we	PRON
app01-7216	158	5	present	present	VERB
app01-7216	158	6	an	an	DET
app01-7216	158	7	efficient	efficient	ADJ
app01-7216	158	8	formulation	formulation	NOUN
app01-7216	158	9	for	for	ADP
app01-7216	158	10	a	a	DET
app01-7216	158	11	geometrically	geometrically	ADV
app01-7216	158	12	nonlinear	nonlinear	ADJ
app01-7216	158	13	beam	beam	NOUN
app01-7216	158	14	model	model	NOUN
app01-7216	158	15	that	that	PRON
app01-7216	158	16	accounts	account	VERB
app01-7216	158	17	for	for	ADP
app01-7216	158	18	arbitrarily	arbitrarily	ADV
app01-7216	158	19	large	large	ADJ
app01-7216	158	20	rotations	rotation	NOUN
app01-7216	158	21	of	of	ADP
app01-7216	158	22	the	the	DET
app01-7216	158	23	beam	beam	NOUN
app01-7216	158	24	sections	section	NOUN
app01-7216	158	25	and	and	CCONJ
app01-7216	158	26	the	the	DET
app01-7216	158	27	effect	effect	NOUN
app01-7216	158	28	of	of	ADP
app01-7216	158	29	curvature	curvature	NOUN
app01-7216	158	30	on	on	ADP
app01-7216	158	31	the	the	DET
app01-7216	158	32	change	change	NOUN
app01-7216	158	33	of	of	ADP
app01-7216	158	34	distance	distance	NOUN
app01-7216	158	35	between	between	ADP
app01-7216	158	36	end	end	NOUN
app01-7216	158	37	sections	section	NOUN
app01-7216	158	38	measured	measure	VERB
app01-7216	158	39	along	along	ADP
app01-7216	158	40	the	the	DET
app01-7216	158	41	chord	chord	NOUN
app01-7216	158	42	.	.	PUNCT
app01-7216	159	1	in	in	ADP
app01-7216	159	2	the	the	DET
app01-7216	159	3	first	first	ADJ
app01-7216	159	4	stage	stage	NOUN
app01-7216	159	5	,	,	PUNCT
app01-7216	159	6	the	the	DET
app01-7216	159	7	model	model	NOUN
app01-7216	159	8	is	be	AUX
app01-7216	159	9	restricted	restrict	VERB
app01-7216	159	10	to	to	ADP
app01-7216	159	11	the	the	DET
app01-7216	159	12	small	small	ADJ
app01-7216	159	13	-	-	PUNCT
app01-7216	159	14	strain	strain	NOUN
app01-7216	159	15	framework	framework	NOUN
app01-7216	159	16	and	and	CCONJ
app01-7216	159	17	cross	cross	NOUN
app01-7216	159	18	sections	section	NOUN
app01-7216	159	19	are	be	AUX
app01-7216	159	20	still	still	ADV
app01-7216	159	21	assumed	assume	VERB
app01-7216	159	22	to	to	PART
app01-7216	159	23	remain	remain	VERB
app01-7216	159	24	planar	planar	ADJ
app01-7216	159	25	and	and	CCONJ
app01-7216	159	26	perpendicular	perpendicular	ADJ
app01-7216	159	27	to	to	ADP
app01-7216	159	28	the	the	DET
app01-7216	159	29	deformed	deform	VERB
app01-7216	159	30	beam	beam	NOUN
app01-7216	159	31	axis	axis	NOUN
app01-7216	159	32	.	.	PUNCT
app01-7216	160	1	equilibrium	equilibrium	NOUN
app01-7216	160	2	equations	equation	NOUN
app01-7216	160	3	in	in	ADP
app01-7216	160	4	their	their	PRON
app01-7216	160	5	strong	strong	ADJ
app01-7216	160	6	form	form	NOUN
app01-7216	160	7	are	be	AUX
app01-7216	160	8	combined	combine	VERB
app01-7216	160	9	with	with	ADP
app01-7216	160	10	the	the	DET
app01-7216	160	11	kinematic	kinematic	ADJ
app01-7216	160	12	equations	equation	NOUN
app01-7216	160	13	and	and	CCONJ
app01-7216	160	14	generalized	generalized	ADJ
app01-7216	160	15	material	material	NOUN
app01-7216	160	16	equations	equation	NOUN
app01-7216	160	17	and	and	CCONJ
app01-7216	160	18	then	then	ADV
app01-7216	160	19	numerically	numerically	ADV
app01-7216	160	20	integrated	integrate	VERB
app01-7216	160	21	using	use	VERB
app01-7216	160	22	a	a	DET
app01-7216	160	23	special	special	ADJ
app01-7216	160	24	version	version	NOUN
app01-7216	160	25	of	of	ADP
app01-7216	160	26	the	the	DET
app01-7216	160	27	shooting	shooting	NOUN
app01-7216	160	28	method	method	NOUN
app01-7216	160	29	.	.	PUNCT
app01-7216	161	1	two	two	NUM
app01-7216	161	2	examples	example	NOUN
app01-7216	161	3	show	show	VERB
app01-7216	161	4	the	the	DET
app01-7216	161	5	capabilities	capability	NOUN
app01-7216	161	6	of	of	ADP
app01-7216	161	7	the	the	DET
app01-7216	161	8	element	element	NOUN
app01-7216	161	9	to	to	PART
app01-7216	161	10	replicate	replicate	VERB
app01-7216	161	11	analytical	analytical	ADJ
app01-7216	161	12	results	result	NOUN
app01-7216	161	13	in	in	ADP
app01-7216	161	14	a	a	DET
app01-7216	161	15	more	more	ADV
app01-7216	161	16	accurate	accurate	ADJ
app01-7216	161	17	way	way	NOUN
app01-7216	161	18	with	with	ADP
app01-7216	161	19	respect	respect	NOUN
app01-7216	161	20	to	to	ADP
app01-7216	161	21	existing	exist	VERB
app01-7216	161	22	beam	beam	NOUN
app01-7216	161	23	finite	finite	ADJ
app01-7216	161	24	elements	element	NOUN
app01-7216	161	25	that	that	PRON
app01-7216	161	26	account	account	VERB
app01-7216	161	27	for	for	ADP
app01-7216	161	28	geometric	geometric	ADJ
app01-7216	161	29	nonlinearities	nonlinearitie	NOUN
app01-7216	161	30	.	.	PUNCT
app01-7216	162	1	moreover	moreover	ADV
app01-7216	162	2	,	,	PUNCT
app01-7216	162	3	the	the	DET
app01-7216	162	4	h	h	NOUN
app01-7216	162	5	-	-	PUNCT
app01-7216	162	6	refinement	refinement	NOUN
app01-7216	162	7	of	of	ADP
app01-7216	162	8	finite	finite	ADJ
app01-7216	162	9	elements	element	NOUN
app01-7216	162	10	,	,	PUNCT
app01-7216	162	11	which	which	PRON
app01-7216	162	12	increases	increase	VERB
app01-7216	162	13	the	the	DET
app01-7216	162	14	number	number	NOUN
app01-7216	162	15	of	of	ADP
app01-7216	162	16	global	global	ADJ
app01-7216	162	17	unknowns	unknown	NOUN
app01-7216	162	18	and	and	CCONJ
app01-7216	162	19	is	be	AUX
app01-7216	162	20	thus	thus	ADV
app01-7216	162	21	computationally	computationally	ADV
app01-7216	162	22	demanding	demanding	ADJ
app01-7216	162	23	,	,	PUNCT
app01-7216	162	24	can	can	AUX
app01-7216	162	25	be	be	AUX
app01-7216	162	26	substituted	substitute	VERB
app01-7216	162	27	by	by	ADP
app01-7216	162	28	employing	employ	VERB
app01-7216	162	29	a	a	DET
app01-7216	162	30	proper	proper	ADJ
app01-7216	162	31	number	number	NOUN
app01-7216	162	32	of	of	ADP
app01-7216	162	33	segments	segment	NOUN
app01-7216	162	34	in	in	ADP
app01-7216	162	35	the	the	DET
app01-7216	162	36	integration	integration	NOUN
app01-7216	162	37	scheme	scheme	NOUN
app01-7216	162	38	,	,	PUNCT
app01-7216	162	39	while	while	SCONJ
app01-7216	162	40	keeping	keep	VERB
app01-7216	162	41	the	the	DET
app01-7216	162	42	number	number	NOUN
app01-7216	162	43	of	of	ADP
app01-7216	162	44	elements	element	NOUN
app01-7216	162	45	limited	limit	VERB
app01-7216	162	46	.	.	PUNCT
app01-7216	163	1	the	the	DET
app01-7216	163	2	element	element	NOUN
app01-7216	163	3	will	will	AUX
app01-7216	163	4	be	be	AUX
app01-7216	163	5	extended	extend	VERB
app01-7216	163	6	into	into	ADP
app01-7216	163	7	a	a	DET
app01-7216	163	8	formulation	formulation	NOUN
app01-7216	163	9	that	that	PRON
app01-7216	163	10	takes	take	VERB
app01-7216	163	11	into	into	ADP
app01-7216	163	12	account	account	NOUN
app01-7216	163	13	an	an	DET
app01-7216	163	14	initial	initial	ADJ
app01-7216	163	15	curvature	curvature	NOUN
app01-7216	163	16	and	and	CCONJ
app01-7216	163	17	also	also	ADV
app01-7216	163	18	accounts	account	VERB
app01-7216	163	19	for	for	ADP
app01-7216	163	20	a	a	DET
app01-7216	163	21	possible	possible	ADJ
app01-7216	163	22	contact	contact	NOUN
app01-7216	163	23	mechanism	mechanism	NOUN
app01-7216	163	24	activation	activation	NOUN
app01-7216	163	25	.	.	PUNCT
app01-7216	164	1	acknowledgements	acknowledgement	NOUN
app01-7216	164	2	the	the	DET
app01-7216	164	3	authors	author	NOUN
app01-7216	164	4	acknowledge	acknowledge	VERB
app01-7216	164	5	the	the	DET
app01-7216	164	6	support	support	NOUN
app01-7216	164	7	of	of	ADP
app01-7216	164	8	the	the	DET
app01-7216	164	9	czech	czech	PROPN
app01-7216	164	10	science	science	NOUN
app01-7216	164	11	foundation	foundation	PROPN
app01-7216	164	12	(	(	PUNCT
app01-7216	164	13	project	project	VERB
app01-7216	164	14	no	no	NOUN
app01-7216	164	15	.	.	NOUN
app01-7216	164	16	19	19	NUM
app01-7216	164	17	-	-	PUNCT
app01-7216	164	18	26143x	26143x	NUM
app01-7216	164	19	)	)	PUNCT
app01-7216	164	20	.	.	PUNCT
app01-7216	165	1	references	reference	NOUN
app01-7216	165	2	[	[	X
app01-7216	165	3	1	1	NUM
app01-7216	165	4	]	]	X
app01-7216	165	5	g.	g.	PROPN
app01-7216	165	6	kirchhoff	kirchhoff	PROPN
app01-7216	165	7	.	.	PUNCT
app01-7216	166	1	ueber	ueber	PROPN
app01-7216	166	2	das	das	PROPN
app01-7216	166	3	gleichgewicht	gleichgewicht	PROPN
app01-7216	166	4	und	und	VERB
app01-7216	166	5	die	die	NOUN
app01-7216	166	6	bewegung	bewegung	PROPN
app01-7216	166	7	eines	eine	NOUN
app01-7216	166	8	unendlich	unendlich	PROPN
app01-7216	166	9	dünnen	dünnen	PROPN
app01-7216	166	10	elastischen	elastischen	ADP
app01-7216	166	11	stabes	stabe	NOUN
app01-7216	166	12	.	.	PUNCT
app01-7216	167	1	journal	journal	PROPN
app01-7216	167	2	für	für	PROPN
app01-7216	167	3	die	die	VERB
app01-7216	167	4	reine	reine	PROPN
app01-7216	167	5	und	und	PROPN
app01-7216	167	6	angewandte	angewandte	PROPN
app01-7216	167	7	mathematik	mathematik	PROPN
app01-7216	167	8	1859(56):285–313	1859(56):285–313	NUM
app01-7216	167	9	,	,	PUNCT
app01-7216	167	10	1859	1859	NUM
app01-7216	167	11	.	.	PUNCT
app01-7216	168	1	[	[	X
app01-7216	168	2	2	2	X
app01-7216	168	3	]	]	PUNCT
app01-7216	168	4	e.	e.	PROPN
app01-7216	168	5	h.	h.	PROPN
app01-7216	168	6	dill	dill	PROPN
app01-7216	168	7	.	.	PUNCT
app01-7216	169	1	kirchhoff	kirchhoff	PROPN
app01-7216	169	2	’s	’s	PART
app01-7216	169	3	theory	theory	NOUN
app01-7216	169	4	of	of	ADP
app01-7216	169	5	rods	rod	NOUN
app01-7216	169	6	.	.	PUNCT
app01-7216	170	1	archive	archive	NOUN
app01-7216	170	2	for	for	ADP
app01-7216	170	3	history	history	NOUN
app01-7216	170	4	of	of	ADP
app01-7216	170	5	exact	exact	ADJ
app01-7216	170	6	sciences	science	NOUN
app01-7216	170	7	44(1):1–23	44(1):1–23	NUM
app01-7216	170	8	,	,	PUNCT
app01-7216	170	9	1992	1992	NUM
app01-7216	170	10	.	.	PUNCT
app01-7216	171	1	[	[	X
app01-7216	171	2	3	3	X
app01-7216	171	3	]	]	PUNCT
app01-7216	171	4	e.	e.	PROPN
app01-7216	171	5	reissner	reissner	PROPN
app01-7216	171	6	.	.	PUNCT
app01-7216	172	1	on	on	ADP
app01-7216	172	2	one	one	NUM
app01-7216	172	3	-	-	PUNCT
app01-7216	172	4	dimensional	dimensional	ADJ
app01-7216	172	5	finite	finite	ADJ
app01-7216	172	6	-	-	ADJ
app01-7216	172	7	strain	strain	ADJ
app01-7216	172	8	beam	beam	NOUN
app01-7216	172	9	theory	theory	NOUN
app01-7216	172	10	:	:	PUNCT
app01-7216	172	11	the	the	DET
app01-7216	172	12	plane	plane	NOUN
app01-7216	172	13	problem	problem	NOUN
app01-7216	172	14	.	.	PUNCT
app01-7216	173	1	zeitschrift	zeitschrift	PROPN
app01-7216	173	2	für	für	PROPN
app01-7216	173	3	angewandte	angewandte	PROPN
app01-7216	173	4	mathematik	mathematik	PROPN
app01-7216	173	5	und	und	PROPN
app01-7216	173	6	physik	physik	PROPN
app01-7216	173	7	zamp	zamp	PROPN
app01-7216	173	8	23(5):795–804	23(5):795–804	PROPN
app01-7216	173	9	,	,	PUNCT
app01-7216	173	10	1972	1972	NUM
app01-7216	173	11	.	.	PUNCT
app01-7216	174	1	[	[	X
app01-7216	174	2	4	4	X
app01-7216	174	3	]	]	PUNCT
app01-7216	174	4	e.	e.	PROPN
app01-7216	174	5	reissner	reissner	PROPN
app01-7216	174	6	.	.	PUNCT
app01-7216	175	1	on	on	ADP
app01-7216	175	2	finite	finite	ADJ
app01-7216	175	3	deformations	deformation	NOUN
app01-7216	175	4	of	of	ADP
app01-7216	175	5	space	space	NOUN
app01-7216	175	6	-	-	PUNCT
app01-7216	175	7	curved	curve	VERB
app01-7216	175	8	beams	beam	NOUN
app01-7216	175	9	.	.	PUNCT
app01-7216	176	1	zeitschrift	zeitschrift	PROPN
app01-7216	176	2	für	für	PROPN
app01-7216	176	3	angewandte	angewandte	PROPN
app01-7216	176	4	mathematik	mathematik	PROPN
app01-7216	176	5	und	und	PROPN
app01-7216	176	6	physik	physik	PROPN
app01-7216	176	7	zamp	zamp	PROPN
app01-7216	176	8	32(6):734–744	32(6):734–744	NOUN
app01-7216	176	9	,	,	PUNCT
app01-7216	176	10	1981	1981	NUM
app01-7216	176	11	.	.	PUNCT
app01-7216	177	1	[	[	X
app01-7216	177	2	5	5	X
app01-7216	177	3	]	]	PUNCT
app01-7216	177	4	j.	j.	PROPN
app01-7216	177	5	c.	c.	PROPN
app01-7216	177	6	simo	simo	PROPN
app01-7216	177	7	.	.	PUNCT
app01-7216	178	1	a	a	DET
app01-7216	178	2	finite	finite	ADJ
app01-7216	178	3	strain	strain	NOUN
app01-7216	178	4	beam	beam	NOUN
app01-7216	178	5	formulation	formulation	NOUN
app01-7216	178	6	.	.	PUNCT
app01-7216	179	1	the	the	DET
app01-7216	179	2	three	three	NUM
app01-7216	179	3	-	-	PUNCT
app01-7216	179	4	dimensional	dimensional	ADJ
app01-7216	179	5	dynamic	dynamic	ADJ
app01-7216	179	6	problem	problem	NOUN
app01-7216	179	7	.	.	PUNCT
app01-7216	180	1	i.	i.	NOUN
app01-7216	180	2	computer	computer	NOUN
app01-7216	180	3	methods	method	NOUN
app01-7216	180	4	in	in	ADP
app01-7216	180	5	applied	applied	ADJ
app01-7216	180	6	mechanics	mechanic	NOUN
app01-7216	180	7	and	and	CCONJ
app01-7216	180	8	engineering	engineering	NOUN
app01-7216	180	9	49(1):55–70	49(1):55–70	NUM
app01-7216	180	10	,	,	PUNCT
app01-7216	180	11	1985	1985	NUM
app01-7216	180	12	.	.	PUNCT
app01-7216	181	1	[	[	X
app01-7216	181	2	6	6	NUM
app01-7216	181	3	]	]	PUNCT
app01-7216	181	4	j.	j.	PROPN
app01-7216	181	5	c.	c.	PROPN
app01-7216	181	6	simo	simo	PROPN
app01-7216	181	7	,	,	PUNCT
app01-7216	181	8	l.	l.	PROPN
app01-7216	181	9	vu	vu	PROPN
app01-7216	181	10	-	-	PUNCT
app01-7216	181	11	quoc	quoc	PROPN
app01-7216	181	12	.	.	PUNCT
app01-7216	182	1	a	a	DET
app01-7216	182	2	three	three	NUM
app01-7216	182	3	-	-	PUNCT
app01-7216	182	4	dimensional	dimensional	ADJ
app01-7216	182	5	finite	finite	ADJ
app01-7216	182	6	-	-	ADJ
app01-7216	182	7	strain	strain	ADJ
app01-7216	182	8	rod	rod	NOUN
app01-7216	182	9	model	model	NOUN
app01-7216	182	10	.	.	PUNCT
app01-7216	183	1	part	part	PROPN
app01-7216	183	2	ii	ii	PROPN
app01-7216	183	3	:	:	PUNCT
app01-7216	183	4	computational	computational	ADJ
app01-7216	183	5	aspects	aspect	NOUN
app01-7216	183	6	.	.	PUNCT
app01-7216	184	1	computer	computer	NOUN
app01-7216	184	2	methods	method	NOUN
app01-7216	184	3	in	in	ADP
app01-7216	184	4	applied	applied	ADJ
app01-7216	184	5	mechanics	mechanic	NOUN
app01-7216	184	6	and	and	CCONJ
app01-7216	184	7	engineering	engineering	NOUN
app01-7216	184	8	58(1):79–116	58(1):79–116	NUM
app01-7216	184	9	,	,	PUNCT
app01-7216	184	10	1986	1986	NUM
app01-7216	184	11	.	.	PUNCT
app01-7216	185	1	[	[	X
app01-7216	185	2	7	7	X
app01-7216	185	3	]	]	X
app01-7216	185	4	b.	b.	PROPN
app01-7216	185	5	patzák	patzák	PROPN
app01-7216	185	6	,	,	PUNCT
app01-7216	185	7	z.	z.	PROPN
app01-7216	185	8	bittnar	bittnar	PROPN
app01-7216	185	9	.	.	PUNCT
app01-7216	186	1	design	design	NOUN
app01-7216	186	2	of	of	ADP
app01-7216	186	3	object	object	NOUN
app01-7216	186	4	oriented	orient	VERB
app01-7216	186	5	finite	finite	PROPN
app01-7216	186	6	element	element	PROPN
app01-7216	186	7	code	code	PROPN
app01-7216	186	8	.	.	PUNCT
app01-7216	187	1	advances	advance	NOUN
app01-7216	187	2	in	in	ADP
app01-7216	187	3	engineering	engineering	NOUN
app01-7216	187	4	software	software	NOUN
app01-7216	187	5	32(10	32(10	NUM
app01-7216	187	6	-	-	SYM
app01-7216	187	7	11):759–767	11):759–767	NUM
app01-7216	187	8	,	,	PUNCT
app01-7216	187	9	2001	2001	NUM
app01-7216	187	10	.	.	PUNCT
app01-7216	188	1	[	[	X
app01-7216	188	2	8	8	NUM
app01-7216	188	3	]	]	X
app01-7216	188	4	b.	b.	PROPN
app01-7216	188	5	patzák	patzák	PROPN
app01-7216	188	6	.	.	PUNCT
app01-7216	189	1	oofem	oofem	PROPN
app01-7216	189	2	—	—	PUNCT
app01-7216	189	3	an	an	DET
app01-7216	189	4	object	object	NOUN
app01-7216	189	5	-	-	PUNCT
app01-7216	189	6	oriented	orient	VERB
app01-7216	189	7	simulation	simulation	NOUN
app01-7216	189	8	tool	tool	NOUN
app01-7216	189	9	for	for	ADP
app01-7216	189	10	advanced	advanced	ADJ
app01-7216	189	11	modeling	modeling	NOUN
app01-7216	189	12	of	of	ADP
app01-7216	189	13	materials	material	NOUN
app01-7216	189	14	and	and	CCONJ
app01-7216	189	15	structures	structure	NOUN
app01-7216	189	16	.	.	PUNCT
app01-7216	190	1	acta	acta	PROPN
app01-7216	190	2	polytechnica	polytechnica	PROPN
app01-7216	190	3	52(6	52(6	PROPN
app01-7216	190	4	)	)	PUNCT
app01-7216	190	5	,	,	PUNCT
app01-7216	190	6	2012	2012	NUM
app01-7216	190	7	.	.	PUNCT
app01-7216	191	1	[	[	X
app01-7216	191	2	9	9	NUM
app01-7216	191	3	]	]	PUNCT
app01-7216	191	4	r.	r.	PROPN
app01-7216	191	5	d.	d.	PROPN
app01-7216	191	6	wood	wood	PROPN
app01-7216	191	7	,	,	PUNCT
app01-7216	191	8	o.	o.	PROPN
app01-7216	191	9	zienkiewicz	zienkiewicz	PROPN
app01-7216	191	10	.	.	PUNCT
app01-7216	192	1	geometrically	geometrically	ADV
app01-7216	192	2	nonlinear	nonlinear	VERB
app01-7216	192	3	finite	finite	PROPN
app01-7216	192	4	element	element	NOUN
app01-7216	192	5	analysis	analysis	NOUN
app01-7216	192	6	of	of	ADP
app01-7216	192	7	beams	beam	NOUN
app01-7216	192	8	,	,	PUNCT
app01-7216	192	9	frames	frame	NOUN
app01-7216	192	10	,	,	PUNCT
app01-7216	192	11	arches	arch	NOUN
app01-7216	192	12	and	and	CCONJ
app01-7216	192	13	axisymmetric	axisymmetric	ADJ
app01-7216	192	14	shells	shell	NOUN
app01-7216	192	15	.	.	PUNCT
app01-7216	193	1	computers	computer	NOUN
app01-7216	193	2	&	&	CCONJ
app01-7216	193	3	structures	structure	NOUN
app01-7216	193	4	7(6):725–735	7(6):725–735	NUM
app01-7216	193	5	,	,	PUNCT
app01-7216	193	6	1977	1977	NUM
app01-7216	193	7	.	.	PUNCT
app01-7216	194	1	[	[	X
app01-7216	194	2	10	10	NUM
app01-7216	194	3	]	]	X
app01-7216	194	4	d.	d.	PROPN
app01-7216	194	5	dadeppo	dadeppo	PROPN
app01-7216	194	6	,	,	PUNCT
app01-7216	194	7	r.	r.	PROPN
app01-7216	194	8	schmidt	schmidt	PROPN
app01-7216	194	9	.	.	PUNCT
app01-7216	195	1	instability	instability	NOUN
app01-7216	195	2	of	of	ADP
app01-7216	195	3	clamped	clamp	VERB
app01-7216	195	4	-	-	PUNCT
app01-7216	195	5	hinged	hinge	VERB
app01-7216	195	6	circular	circular	ADJ
app01-7216	195	7	arches	arch	NOUN
app01-7216	195	8	subjected	subject	VERB
app01-7216	195	9	to	to	ADP
app01-7216	195	10	a	a	DET
app01-7216	195	11	point	point	NOUN
app01-7216	195	12	load	load	NOUN
app01-7216	195	13	.	.	PUNCT
app01-7216	196	1	journal	journal	NOUN
app01-7216	196	2	of	of	ADP
app01-7216	196	3	applied	apply	VERB
app01-7216	196	4	mechanics	mechanic	NOUN
app01-7216	196	5	,	,	PUNCT
app01-7216	196	6	transactions	transaction	NOUN
app01-7216	196	7	asme	asme	PROPN
app01-7216	196	8	42(4):894–896	42(4):894–896	PROPN
app01-7216	196	9	,	,	PUNCT
app01-7216	196	10	1975	1975	NUM
app01-7216	196	11	.	.	PUNCT
app01-7216	197	1	[	[	X
app01-7216	197	2	11	11	NUM
app01-7216	197	3	]	]	PUNCT
app01-7216	197	4	j.	j.	PROPN
app01-7216	197	5	simo	simo	PROPN
app01-7216	197	6	,	,	PUNCT
app01-7216	197	7	p.	p.	PROPN
app01-7216	197	8	wriggers	wrigger	NOUN
app01-7216	197	9	,	,	PUNCT
app01-7216	197	10	k.	k.	PROPN
app01-7216	197	11	schweizerhof	schweizerhof	PROPN
app01-7216	197	12	,	,	PUNCT
app01-7216	197	13	r.	r.	PROPN
app01-7216	197	14	taylor	taylor	PROPN
app01-7216	197	15	.	.	PUNCT
app01-7216	198	1	finite	finite	VERB
app01-7216	198	2	deformation	deformation	NOUN
app01-7216	198	3	post	post	ADJ
app01-7216	198	4	-	-	ADJ
app01-7216	198	5	buckling	buckling	ADJ
app01-7216	198	6	analysis	analysis	NOUN
app01-7216	198	7	involving	involve	VERB
app01-7216	198	8	inelasticity	inelasticity	NOUN
app01-7216	198	9	and	and	CCONJ
app01-7216	198	10	contact	contact	NOUN
app01-7216	198	11	constraints	constraint	NOUN
app01-7216	198	12	.	.	PUNCT
app01-7216	199	1	international	international	ADJ
app01-7216	199	2	journal	journal	PROPN
app01-7216	199	3	for	for	ADP
app01-7216	199	4	numerical	numerical	ADJ
app01-7216	199	5	methods	method	NOUN
app01-7216	199	6	in	in	ADP
app01-7216	199	7	engineering	engineer	VERB
app01-7216	199	8	23(5):779–800	23(5):779–800	PROPN
app01-7216	199	9	,	,	PUNCT
app01-7216	199	10	1986	1986	NUM
app01-7216	199	11	.	.	PUNCT
app01-7216	200	1	92	92	NUM