id	sid	tid	token	lemma	pos
fumecheng-1617	1	1	plane	plane	NOUN
fumecheng-1617	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-1617	1	3	waves	wave	NOUN
fumecheng-1617	1	4	in	in	ADP
fumecheng-1617	1	5	infinite	infinite	ADJ
fumecheng-1617	1	6	half	half	ADJ
fumecheng-1617	1	7	-	-	PUNCT
fumecheng-1617	1	8	space	space	NOUN
fumecheng-1617	1	9	caused	cause	VERB
fumecheng-1617	1	10	facta	facta	PROPN
fumecheng-1617	1	11	universitatis	universitatis	PROPN
fumecheng-1617	1	12	series	series	NOUN
fumecheng-1617	1	13	:	:	PUNCT
fumecheng-1617	1	14	mechanical	mechanical	ADJ
fumecheng-1617	1	15	engineering	engineering	NOUN
fumecheng-1617	1	16	vol	vol	NOUN
fumecheng-1617	1	17	.	.	PUNCT
fumecheng-1617	2	1	14	14	NUM
fumecheng-1617	2	2	,	,	PUNCT
fumecheng-1617	2	3	no	no	DET
fumecheng-1617	2	4	2	2	NUM
fumecheng-1617	2	5	,	,	PUNCT
fumecheng-1617	2	6	2016	2016	NUM
fumecheng-1617	2	7	,	,	PUNCT
fumecheng-1617	2	8	pp	pp	ADJ
fumecheng-1617	2	9	.	.	PUNCT
fumecheng-1617	3	1	227	227	NUM
fumecheng-1617	3	2	240	240	NUM
fumecheng-1617	3	3	original	original	ADJ
fumecheng-1617	3	4	scientific	scientific	ADJ
fumecheng-1617	3	5	paper	paper	NOUN
fumecheng-1617	3	6	1an	1an	ADJ
fumecheng-1617	3	7	efficient	efficient	ADJ
fumecheng-1617	3	8	co	co	ADJ
fumecheng-1617	3	9	-	-	ADJ
fumecheng-1617	3	10	rotational	rotational	ADJ
fumecheng-1617	3	11	fem	fem	NOUN
fumecheng-1617	3	12	formulation	formulation	NOUN
fumecheng-1617	3	13	using	use	VERB
fumecheng-1617	3	14	a	a	DET
fumecheng-1617	3	15	projector	projector	NOUN
fumecheng-1617	3	16	matrix	matrix	NOUN
fumecheng-1617	3	17	udc	udc	NOUN
fumecheng-1617	3	18	531:519.6	531:519.6	NUM
fumecheng-1617	3	19	viet	viet	PROPN
fumecheng-1617	3	20	anh	anh	PROPN
fumecheng-1617	3	21	nguyen	nguyen	NOUN
fumecheng-1617	3	22	,	,	PUNCT
fumecheng-1617	3	23	manfred	manfred	ADJ
fumecheng-1617	3	24	zehn	zehn	PROPN
fumecheng-1617	3	25	,	,	PUNCT
fumecheng-1617	3	26	dragan	dragan	VERB
fumecheng-1617	3	27	marinković	marinković	ADJ
fumecheng-1617	3	28	structural	structural	ADJ
fumecheng-1617	3	29	mechanics	mechanic	NOUN
fumecheng-1617	3	30	department	department	PROPN
fumecheng-1617	3	31	,	,	PUNCT
fumecheng-1617	3	32	berlin	berlin	PROPN
fumecheng-1617	3	33	institute	institute	PROPN
fumecheng-1617	3	34	of	of	ADP
fumecheng-1617	3	35	technology	technology	PROPN
fumecheng-1617	3	36	,	,	PUNCT
fumecheng-1617	3	37	germany	germany	PROPN
fumecheng-1617	3	38	abstract	abstract	NOUN
fumecheng-1617	3	39	.	.	PUNCT
fumecheng-1617	4	1	co	co	VERB
fumecheng-1617	4	2	-	-	ADJ
fumecheng-1617	4	3	rotational	rotational	ADJ
fumecheng-1617	4	4	finite	finite	NOUN
fumecheng-1617	4	5	element	element	NOUN
fumecheng-1617	4	6	(	(	PUNCT
fumecheng-1617	4	7	fe	fe	NOUN
fumecheng-1617	4	8	)	)	PUNCT
fumecheng-1617	4	9	formulations	formulation	NOUN
fumecheng-1617	4	10	can	can	AUX
fumecheng-1617	4	11	be	be	AUX
fumecheng-1617	4	12	seen	see	VERB
fumecheng-1617	4	13	as	as	ADP
fumecheng-1617	4	14	a	a	DET
fumecheng-1617	4	15	very	very	ADV
fumecheng-1617	4	16	efficient	efficient	ADJ
fumecheng-1617	4	17	approach	approach	NOUN
fumecheng-1617	4	18	to	to	ADP
fumecheng-1617	4	19	resolving	resolve	VERB
fumecheng-1617	4	20	geometrically	geometrically	ADV
fumecheng-1617	4	21	nonlinear	nonlinear	ADJ
fumecheng-1617	4	22	problems	problem	NOUN
fumecheng-1617	4	23	in	in	ADP
fumecheng-1617	4	24	the	the	DET
fumecheng-1617	4	25	field	field	NOUN
fumecheng-1617	4	26	of	of	ADP
fumecheng-1617	4	27	structural	structural	ADJ
fumecheng-1617	4	28	mechanics	mechanic	NOUN
fumecheng-1617	4	29	.	.	PUNCT
fumecheng-1617	5	1	a	a	DET
fumecheng-1617	5	2	number	number	NOUN
fumecheng-1617	5	3	of	of	ADP
fumecheng-1617	5	4	co	co	ADJ
fumecheng-1617	5	5	-	-	ADJ
fumecheng-1617	5	6	rotational	rotational	ADJ
fumecheng-1617	5	7	fe	fe	X
fumecheng-1617	5	8	formulations	formulation	NOUN
fumecheng-1617	5	9	have	have	AUX
fumecheng-1617	5	10	been	be	AUX
fumecheng-1617	5	11	well	well	ADV
fumecheng-1617	5	12	documented	document	VERB
fumecheng-1617	5	13	for	for	ADP
fumecheng-1617	5	14	shell	shell	NOUN
fumecheng-1617	5	15	and	and	CCONJ
fumecheng-1617	5	16	beam	beam	NOUN
fumecheng-1617	5	17	structures	structure	NOUN
fumecheng-1617	5	18	in	in	ADP
fumecheng-1617	5	19	the	the	DET
fumecheng-1617	5	20	available	available	ADJ
fumecheng-1617	5	21	literature	literature	NOUN
fumecheng-1617	5	22	.	.	PUNCT
fumecheng-1617	6	1	the	the	DET
fumecheng-1617	6	2	purpose	purpose	NOUN
fumecheng-1617	6	3	of	of	ADP
fumecheng-1617	6	4	this	this	DET
fumecheng-1617	6	5	paper	paper	NOUN
fumecheng-1617	6	6	is	be	AUX
fumecheng-1617	6	7	to	to	PART
fumecheng-1617	6	8	present	present	VERB
fumecheng-1617	6	9	a	a	DET
fumecheng-1617	6	10	co	co	ADJ
fumecheng-1617	6	11	-	-	ADJ
fumecheng-1617	6	12	rotational	rotational	ADJ
fumecheng-1617	6	13	fem	fem	NOUN
fumecheng-1617	6	14	formulation	formulation	NOUN
fumecheng-1617	6	15	for	for	ADP
fumecheng-1617	6	16	fast	fast	ADJ
fumecheng-1617	6	17	and	and	CCONJ
fumecheng-1617	6	18	highly	highly	ADV
fumecheng-1617	6	19	efficient	efficient	ADJ
fumecheng-1617	6	20	computation	computation	NOUN
fumecheng-1617	6	21	of	of	ADP
fumecheng-1617	6	22	large	large	ADJ
fumecheng-1617	6	23	three	three	NUM
fumecheng-1617	6	24	-	-	PUNCT
fumecheng-1617	6	25	dimensional	dimensional	ADJ
fumecheng-1617	6	26	elastic	elastic	ADJ
fumecheng-1617	6	27	deformations	deformation	NOUN
fumecheng-1617	6	28	.	.	PUNCT
fumecheng-1617	7	1	on	on	ADP
fumecheng-1617	7	2	the	the	DET
fumecheng-1617	7	3	one	one	NUM
fumecheng-1617	7	4	hand	hand	NOUN
fumecheng-1617	7	5	,	,	PUNCT
fumecheng-1617	7	6	the	the	DET
fumecheng-1617	7	7	approach	approach	NOUN
fumecheng-1617	7	8	aims	aim	VERB
fumecheng-1617	7	9	at	at	ADP
fumecheng-1617	7	10	a	a	DET
fumecheng-1617	7	11	simple	simple	ADJ
fumecheng-1617	7	12	way	way	NOUN
fumecheng-1617	7	13	of	of	ADP
fumecheng-1617	7	14	separating	separate	VERB
fumecheng-1617	7	15	the	the	DET
fumecheng-1617	7	16	element	element	ADJ
fumecheng-1617	7	17	rigid	rigid	ADJ
fumecheng-1617	7	18	-	-	PUNCT
fumecheng-1617	7	19	body	body	NOUN
fumecheng-1617	7	20	rotation	rotation	NOUN
fumecheng-1617	7	21	and	and	CCONJ
fumecheng-1617	7	22	the	the	DET
fumecheng-1617	7	23	elastic	elastic	ADJ
fumecheng-1617	7	24	deformational	deformational	ADJ
fumecheng-1617	7	25	part	part	NOUN
fumecheng-1617	7	26	by	by	ADP
fumecheng-1617	7	27	means	mean	NOUN
fumecheng-1617	7	28	of	of	ADP
fumecheng-1617	7	29	the	the	DET
fumecheng-1617	7	30	polar	polar	ADJ
fumecheng-1617	7	31	decomposition	decomposition	NOUN
fumecheng-1617	7	32	of	of	ADP
fumecheng-1617	7	33	deformation	deformation	NOUN
fumecheng-1617	7	34	gradient	gradient	NOUN
fumecheng-1617	7	35	.	.	PUNCT
fumecheng-1617	8	1	on	on	ADP
fumecheng-1617	8	2	the	the	DET
fumecheng-1617	8	3	other	other	ADJ
fumecheng-1617	8	4	hand	hand	NOUN
fumecheng-1617	8	5	,	,	PUNCT
fumecheng-1617	8	6	a	a	DET
fumecheng-1617	8	7	consistent	consistent	ADJ
fumecheng-1617	8	8	linearization	linearization	NOUN
fumecheng-1617	8	9	is	be	AUX
fumecheng-1617	8	10	introduced	introduce	VERB
fumecheng-1617	8	11	to	to	PART
fumecheng-1617	8	12	derive	derive	VERB
fumecheng-1617	8	13	the	the	DET
fumecheng-1617	8	14	internal	internal	ADJ
fumecheng-1617	8	15	force	force	NOUN
fumecheng-1617	8	16	vector	vector	NOUN
fumecheng-1617	8	17	and	and	CCONJ
fumecheng-1617	8	18	the	the	DET
fumecheng-1617	8	19	tangent	tangent	ADJ
fumecheng-1617	8	20	stiffness	stiffness	NOUN
fumecheng-1617	8	21	matrix	matrix	NOUN
fumecheng-1617	8	22	based	base	VERB
fumecheng-1617	8	23	on	on	ADP
fumecheng-1617	8	24	the	the	DET
fumecheng-1617	8	25	total	total	ADJ
fumecheng-1617	8	26	lagrangian	lagrangian	ADJ
fumecheng-1617	8	27	formulation	formulation	NOUN
fumecheng-1617	8	28	.	.	PUNCT
fumecheng-1617	9	1	it	it	PRON
fumecheng-1617	9	2	results	result	VERB
fumecheng-1617	9	3	in	in	ADP
fumecheng-1617	9	4	a	a	DET
fumecheng-1617	9	5	nonlinear	nonlinear	ADJ
fumecheng-1617	9	6	projector	projector	NOUN
fumecheng-1617	9	7	matrix	matrix	NOUN
fumecheng-1617	9	8	.	.	PUNCT
fumecheng-1617	10	1	in	in	ADP
fumecheng-1617	10	2	this	this	DET
fumecheng-1617	10	3	way	way	NOUN
fumecheng-1617	10	4	,	,	PUNCT
fumecheng-1617	10	5	it	it	PRON
fumecheng-1617	10	6	ensures	ensure	VERB
fumecheng-1617	10	7	the	the	DET
fumecheng-1617	10	8	force	force	NOUN
fumecheng-1617	10	9	equilibrium	equilibrium	NOUN
fumecheng-1617	10	10	of	of	ADP
fumecheng-1617	10	11	each	each	DET
fumecheng-1617	10	12	element	element	NOUN
fumecheng-1617	10	13	and	and	CCONJ
fumecheng-1617	10	14	enables	enable	VERB
fumecheng-1617	10	15	a	a	DET
fumecheng-1617	10	16	relatively	relatively	ADV
fumecheng-1617	10	17	straightforward	straightforward	ADJ
fumecheng-1617	10	18	upgrade	upgrade	NOUN
fumecheng-1617	10	19	of	of	ADP
fumecheng-1617	10	20	the	the	DET
fumecheng-1617	10	21	finite	finite	ADJ
fumecheng-1617	10	22	elements	element	NOUN
fumecheng-1617	10	23	for	for	ADP
fumecheng-1617	10	24	linear	linear	ADJ
fumecheng-1617	10	25	analysis	analysis	NOUN
fumecheng-1617	10	26	to	to	ADP
fumecheng-1617	10	27	the	the	DET
fumecheng-1617	10	28	finite	finite	ADJ
fumecheng-1617	10	29	elements	element	NOUN
fumecheng-1617	10	30	for	for	ADP
fumecheng-1617	10	31	geometrically	geometrically	ADV
fumecheng-1617	10	32	non	non	ADJ
fumecheng-1617	10	33	-	-	ADJ
fumecheng-1617	10	34	linear	linear	ADJ
fumecheng-1617	10	35	analysis	analysis	NOUN
fumecheng-1617	10	36	.	.	PUNCT
fumecheng-1617	11	1	in	in	ADP
fumecheng-1617	11	2	this	this	DET
fumecheng-1617	11	3	work	work	NOUN
fumecheng-1617	11	4	,	,	PUNCT
fumecheng-1617	11	5	a	a	DET
fumecheng-1617	11	6	simple	simple	ADJ
fumecheng-1617	11	7	4	4	NUM
fumecheng-1617	11	8	-	-	PUNCT
fumecheng-1617	11	9	node	node	ADJ
fumecheng-1617	11	10	tetrahedral	tetrahedral	ADJ
fumecheng-1617	11	11	element	element	NOUN
fumecheng-1617	11	12	is	be	AUX
fumecheng-1617	11	13	used	use	VERB
fumecheng-1617	11	14	.	.	PUNCT
fumecheng-1617	12	1	to	to	PART
fumecheng-1617	12	2	demonstrate	demonstrate	VERB
fumecheng-1617	12	3	the	the	DET
fumecheng-1617	12	4	efficiency	efficiency	NOUN
fumecheng-1617	12	5	and	and	CCONJ
fumecheng-1617	12	6	accuracy	accuracy	NOUN
fumecheng-1617	12	7	of	of	ADP
fumecheng-1617	12	8	the	the	DET
fumecheng-1617	12	9	proposed	propose	VERB
fumecheng-1617	12	10	formulation	formulation	NOUN
fumecheng-1617	12	11	,	,	PUNCT
fumecheng-1617	12	12	nonlinear	nonlinear	ADJ
fumecheng-1617	12	13	results	result	NOUN
fumecheng-1617	12	14	from	from	ADP
fumecheng-1617	12	15	abaqus	abaqus	NOUN
fumecheng-1617	12	16	are	be	AUX
fumecheng-1617	12	17	used	use	VERB
fumecheng-1617	12	18	as	as	ADP
fumecheng-1617	12	19	a	a	DET
fumecheng-1617	12	20	reference	reference	NOUN
fumecheng-1617	12	21	.	.	PUNCT
fumecheng-1617	13	1	key	key	ADJ
fumecheng-1617	13	2	words	word	NOUN
fumecheng-1617	13	3	:	:	PUNCT
fumecheng-1617	13	4	co	co	ADJ
fumecheng-1617	13	5	-	-	ADJ
fumecheng-1617	13	6	rotational	rotational	ADJ
fumecheng-1617	13	7	fem	fem	NOUN
fumecheng-1617	13	8	,	,	PUNCT
fumecheng-1617	13	9	tetrahedral	tetrahedral	ADJ
fumecheng-1617	13	10	element	element	NOUN
fumecheng-1617	13	11	,	,	PUNCT
fumecheng-1617	13	12	projector	projector	NOUN
fumecheng-1617	13	13	matrix	matrix	NOUN
fumecheng-1617	13	14	,	,	PUNCT
fumecheng-1617	13	15	polar	polar	ADJ
fumecheng-1617	13	16	decomposition	decomposition	NOUN
fumecheng-1617	13	17	,	,	PUNCT
fumecheng-1617	13	18	newton	newton	PROPN
fumecheng-1617	13	19	-	-	PUNCT
fumecheng-1617	13	20	raphson	raphson	NOUN
fumecheng-1617	13	21	-	-	PUNCT
fumecheng-1617	13	22	method	method	NOUN
fumecheng-1617	13	23	1	1	NUM
fumecheng-1617	13	24	.	.	PUNCT
fumecheng-1617	13	25	introduction	introduction	NOUN
fumecheng-1617	13	26	beside	beside	ADP
fumecheng-1617	13	27	the	the	DET
fumecheng-1617	13	28	updated	update	VERB
fumecheng-1617	13	29	(	(	PUNCT
fumecheng-1617	13	30	ul	ul	INTJ
fumecheng-1617	13	31	)	)	PUNCT
fumecheng-1617	13	32	and	and	CCONJ
fumecheng-1617	13	33	total	total	ADJ
fumecheng-1617	13	34	(	(	PUNCT
fumecheng-1617	13	35	tl	tl	PROPN
fumecheng-1617	13	36	)	)	PUNCT
fumecheng-1617	13	37	lagrangian	lagrangian	ADJ
fumecheng-1617	13	38	formulation	formulation	NOUN
fumecheng-1617	13	39	,	,	PUNCT
fumecheng-1617	13	40	the	the	DET
fumecheng-1617	13	41	co	co	NOUN
fumecheng-1617	13	42	-	-	NOUN
fumecheng-1617	13	43	rotational	rotational	ADJ
fumecheng-1617	13	44	(	(	PUNCT
fumecheng-1617	13	45	cr	cr	NOUN
fumecheng-1617	13	46	)	)	PUNCT
fumecheng-1617	13	47	finite	finite	PROPN
fumecheng-1617	13	48	element	element	NOUN
fumecheng-1617	13	49	(	(	PUNCT
fumecheng-1617	13	50	fe	fe	NOUN
fumecheng-1617	13	51	)	)	PUNCT
fumecheng-1617	13	52	formulations	formulation	NOUN
fumecheng-1617	13	53	represent	represent	VERB
fumecheng-1617	13	54	an	an	DET
fumecheng-1617	13	55	efficient	efficient	ADJ
fumecheng-1617	13	56	approach	approach	NOUN
fumecheng-1617	13	57	to	to	PART
fumecheng-1617	13	58	handle	handle	VERB
fumecheng-1617	13	59	large	large	ADJ
fumecheng-1617	13	60	non	non	ADJ
fumecheng-1617	13	61	-	-	ADJ
fumecheng-1617	13	62	linear	linear	ADJ
fumecheng-1617	13	63	deformations	deformation	NOUN
fumecheng-1617	13	64	of	of	ADP
fumecheng-1617	13	65	flexible	flexible	ADJ
fumecheng-1617	13	66	structures	structure	NOUN
fumecheng-1617	13	67	.	.	PUNCT
fumecheng-1617	14	1	as	as	SCONJ
fumecheng-1617	14	2	it	it	PRON
fumecheng-1617	14	3	allows	allow	VERB
fumecheng-1617	14	4	a	a	DET
fumecheng-1617	14	5	relatively	relatively	ADV
fumecheng-1617	14	6	straightforward	straightforward	ADJ
fumecheng-1617	14	7	upgrade	upgrade	NOUN
fumecheng-1617	14	8	of	of	ADP
fumecheng-1617	14	9	the	the	DET
fumecheng-1617	14	10	finite	finite	ADJ
fumecheng-1617	14	11	elements	element	NOUN
fumecheng-1617	14	12	for	for	ADP
fumecheng-1617	14	13	linear	linear	ADJ
fumecheng-1617	14	14	analysis	analysis	NOUN
fumecheng-1617	14	15	to	to	ADP
fumecheng-1617	14	16	the	the	DET
fumecheng-1617	14	17	finite	finite	ADJ
fumecheng-1617	14	18	elements	element	NOUN
fumecheng-1617	14	19	for	for	ADP
fumecheng-1617	14	20	geometrically	geometrically	ADV
fumecheng-1617	14	21	received	receive	VERB
fumecheng-1617	14	22	february	february	PROPN
fumecheng-1617	14	23	15	15	NUM
fumecheng-1617	14	24	,	,	PUNCT
fumecheng-1617	14	25	2016	2016	NUM
fumecheng-1617	14	26	/	/	SYM
fumecheng-1617	14	27	accepted	accept	VERB
fumecheng-1617	14	28	july	july	PROPN
fumecheng-1617	14	29	16	16	NUM
fumecheng-1617	14	30	,	,	PUNCT
fumecheng-1617	14	31	2016	2016	NUM
fumecheng-1617	14	32	corresponding	correspond	VERB
fumecheng-1617	14	33	author	author	NOUN
fumecheng-1617	14	34	:	:	PUNCT
fumecheng-1617	14	35	viet	viet	PROPN
fumecheng-1617	14	36	anh	anh	PROPN
fumecheng-1617	14	37	nguyen	nguyen	PROPN
fumecheng-1617	14	38	tub	tub	PROPN
fumecheng-1617	14	39	,	,	PUNCT
fumecheng-1617	14	40	structural	structural	ADJ
fumecheng-1617	14	41	mechanics	mechanic	NOUN
fumecheng-1617	14	42	department	department	PROPN
fumecheng-1617	14	43	,	,	PUNCT
fumecheng-1617	14	44	strasse	strasse	PROPN
fumecheng-1617	14	45	des	des	PROPN
fumecheng-1617	14	46	17	17	NUM
fumecheng-1617	14	47	.	.	PUNCT
fumecheng-1617	15	1	juni	juni	PROPN
fumecheng-1617	15	2	135	135	NUM
fumecheng-1617	15	3	,	,	PUNCT
fumecheng-1617	15	4	10623	10623	NUM
fumecheng-1617	15	5	berlin	berlin	PROPN
fumecheng-1617	15	6	e	e	PROPN
fumecheng-1617	15	7	-	-	NOUN
fumecheng-1617	15	8	mail	mail	NOUN
fumecheng-1617	15	9	:	:	PUNCT
fumecheng-1617	15	10	viet.a.nguyen@tu-berlin.de	viet.a.nguyen@tu-berlin.de	NOUN
fumecheng-1617	15	11	228	228	NUM
fumecheng-1617	15	12	v.	v.	ADP
fumecheng-1617	15	13	a	a	DET
fumecheng-1617	15	14	nguyen	nguyen	NOUN
fumecheng-1617	15	15	,	,	PUNCT
fumecheng-1617	15	16	m.	m.	NOUN
fumecheng-1617	15	17	zehn	zehn	PROPN
fumecheng-1617	15	18	,	,	PUNCT
fumecheng-1617	15	19	d.	d.	PROPN
fumecheng-1617	15	20	marinković	marinković	PROPN
fumecheng-1617	15	21	non	non	ADJ
fumecheng-1617	15	22	-	-	ADJ
fumecheng-1617	15	23	linear	linear	ADJ
fumecheng-1617	15	24	analysis	analysis	NOUN
fumecheng-1617	15	25	,	,	PUNCT
fumecheng-1617	15	26	the	the	DET
fumecheng-1617	15	27	co	co	ADJ
fumecheng-1617	15	28	-	-	ADJ
fumecheng-1617	15	29	rotational	rotational	ADJ
fumecheng-1617	15	30	approach	approach	NOUN
fumecheng-1617	15	31	has	have	AUX
fumecheng-1617	15	32	attracted	attract	VERB
fumecheng-1617	15	33	significant	significant	ADJ
fumecheng-1617	15	34	interest	interest	NOUN
fumecheng-1617	15	35	over	over	ADP
fumecheng-1617	15	36	the	the	DET
fumecheng-1617	15	37	past	past	ADJ
fumecheng-1617	15	38	years	year	NOUN
fumecheng-1617	15	39	[	[	X
fumecheng-1617	15	40	1	1	NUM
fumecheng-1617	15	41	]	]	PUNCT
fumecheng-1617	15	42	.	.	PUNCT
fumecheng-1617	16	1	the	the	DET
fumecheng-1617	16	2	main	main	ADJ
fumecheng-1617	16	3	idea	idea	NOUN
fumecheng-1617	16	4	of	of	ADP
fumecheng-1617	16	5	the	the	DET
fumecheng-1617	16	6	approach	approach	NOUN
fumecheng-1617	16	7	is	be	AUX
fumecheng-1617	16	8	to	to	PART
fumecheng-1617	16	9	decompose	decompose	VERB
fumecheng-1617	16	10	the	the	DET
fumecheng-1617	16	11	total	total	ADJ
fumecheng-1617	16	12	motion	motion	NOUN
fumecheng-1617	16	13	of	of	ADP
fumecheng-1617	16	14	each	each	DET
fumecheng-1617	16	15	finite	finite	ADJ
fumecheng-1617	16	16	element	element	NOUN
fumecheng-1617	16	17	into	into	ADP
fumecheng-1617	16	18	a	a	DET
fumecheng-1617	16	19	rigid	rigid	ADJ
fumecheng-1617	16	20	-	-	PUNCT
fumecheng-1617	16	21	body	body	NOUN
fumecheng-1617	16	22	rotation	rotation	NOUN
fumecheng-1617	16	23	and	and	CCONJ
fumecheng-1617	16	24	a	a	DET
fumecheng-1617	16	25	moderate	moderate	ADJ
fumecheng-1617	16	26	deformational	deformational	ADJ
fumecheng-1617	16	27	part	part	NOUN
fumecheng-1617	16	28	,	,	PUNCT
fumecheng-1617	16	29	which	which	PRON
fumecheng-1617	16	30	can	can	AUX
fumecheng-1617	16	31	be	be	AUX
fumecheng-1617	16	32	measured	measure	VERB
fumecheng-1617	16	33	within	within	ADP
fumecheng-1617	16	34	a	a	DET
fumecheng-1617	16	35	local	local	ADJ
fumecheng-1617	16	36	element	element	NOUN
fumecheng-1617	16	37	coordinate	coordinate	NOUN
fumecheng-1617	16	38	frame	frame	NOUN
fumecheng-1617	16	39	.	.	PUNCT
fumecheng-1617	17	1	the	the	DET
fumecheng-1617	17	2	local	local	ADJ
fumecheng-1617	17	3	frame	frame	NOUN
fumecheng-1617	17	4	can	can	AUX
fumecheng-1617	17	5	be	be	AUX
fumecheng-1617	17	6	defined	define	VERB
fumecheng-1617	17	7	at	at	ADP
fumecheng-1617	17	8	an	an	DET
fumecheng-1617	17	9	arbitrary	arbitrary	ADJ
fumecheng-1617	17	10	point	point	NOUN
fumecheng-1617	17	11	of	of	ADP
fumecheng-1617	17	12	the	the	DET
fumecheng-1617	17	13	element	element	NOUN
fumecheng-1617	17	14	.	.	PUNCT
fumecheng-1617	18	1	it	it	PRON
fumecheng-1617	18	2	is	be	AUX
fumecheng-1617	18	3	attached	attach	VERB
fumecheng-1617	18	4	to	to	ADP
fumecheng-1617	18	5	the	the	DET
fumecheng-1617	18	6	element	element	NOUN
fumecheng-1617	18	7	and	and	CCONJ
fumecheng-1617	18	8	performs	perform	VERB
fumecheng-1617	18	9	the	the	DET
fumecheng-1617	18	10	same	same	ADJ
fumecheng-1617	18	11	rigidbody	rigidbody	NOUN
fumecheng-1617	18	12	rotation	rotation	NOUN
fumecheng-1617	18	13	and	and	CCONJ
fumecheng-1617	18	14	translation	translation	NOUN
fumecheng-1617	18	15	as	as	ADP
fumecheng-1617	18	16	the	the	DET
fumecheng-1617	18	17	element	element	NOUN
fumecheng-1617	18	18	itself	itself	PRON
fumecheng-1617	18	19	.	.	PUNCT
fumecheng-1617	19	1	material	material	PROPN
fumecheng-1617	19	2	deformational	deformational	ADJ
fumecheng-1617	19	3	response	response	NOUN
fumecheng-1617	19	4	is	be	AUX
fumecheng-1617	19	5	determined	determine	VERB
fumecheng-1617	19	6	with	with	ADP
fumecheng-1617	19	7	respect	respect	NOUN
fumecheng-1617	19	8	to	to	ADP
fumecheng-1617	19	9	this	this	DET
fumecheng-1617	19	10	local	local	ADJ
fumecheng-1617	19	11	frame	frame	NOUN
fumecheng-1617	19	12	,	,	PUNCT
fumecheng-1617	19	13	while	while	SCONJ
fumecheng-1617	19	14	geometric	geometric	ADJ
fumecheng-1617	19	15	non	non	NOUN
fumecheng-1617	19	16	-	-	NOUN
fumecheng-1617	19	17	linearities	linearity	NOUN
fumecheng-1617	19	18	are	be	AUX
fumecheng-1617	19	19	accounted	account	VERB
fumecheng-1617	19	20	for	for	ADP
fumecheng-1617	19	21	by	by	ADP
fumecheng-1617	19	22	means	mean	NOUN
fumecheng-1617	19	23	of	of	ADP
fumecheng-1617	19	24	the	the	DET
fumecheng-1617	19	25	large	large	ADJ
fumecheng-1617	19	26	rigid	rigid	ADJ
fumecheng-1617	19	27	-	-	PUNCT
fumecheng-1617	19	28	body	body	NOUN
fumecheng-1617	19	29	rotation	rotation	NOUN
fumecheng-1617	19	30	.	.	PUNCT
fumecheng-1617	20	1	for	for	ADP
fumecheng-1617	20	2	sufficiently	sufficiently	ADV
fumecheng-1617	20	3	small	small	ADJ
fumecheng-1617	20	4	local	local	ADJ
fumecheng-1617	20	5	strains	strain	NOUN
fumecheng-1617	20	6	,	,	PUNCT
fumecheng-1617	20	7	the	the	DET
fumecheng-1617	20	8	constant	constant	ADJ
fumecheng-1617	20	9	strain	strain	NOUN
fumecheng-1617	20	10	-	-	PUNCT
fumecheng-1617	20	11	displacement	displacement	NOUN
fumecheng-1617	20	12	matrix	matrix	NOUN
fumecheng-1617	20	13	can	can	AUX
fumecheng-1617	20	14	be	be	AUX
fumecheng-1617	20	15	applied	apply	VERB
fumecheng-1617	20	16	[	[	PUNCT
fumecheng-1617	20	17	2	2	NUM
fumecheng-1617	20	18	]	]	PUNCT
fumecheng-1617	20	19	.	.	PUNCT
fumecheng-1617	21	1	in	in	ADP
fumecheng-1617	21	2	the	the	DET
fumecheng-1617	21	3	past	past	ADJ
fumecheng-1617	21	4	decade	decade	NOUN
fumecheng-1617	21	5	,	,	PUNCT
fumecheng-1617	21	6	many	many	ADJ
fumecheng-1617	21	7	co	co	ADJ
fumecheng-1617	21	8	-	-	ADJ
fumecheng-1617	21	9	rotational	rotational	ADJ
fumecheng-1617	21	10	frameworks	framework	NOUN
fumecheng-1617	21	11	for	for	ADP
fumecheng-1617	21	12	the	the	DET
fumecheng-1617	21	13	geometrically	geometrically	ADV
fumecheng-1617	21	14	non	non	ADJ
fumecheng-1617	21	15	-	-	ADJ
fumecheng-1617	21	16	linear	linear	ADJ
fumecheng-1617	21	17	analysis	analysis	NOUN
fumecheng-1617	21	18	of	of	ADP
fumecheng-1617	21	19	flexible	flexible	ADJ
fumecheng-1617	21	20	structures	structure	NOUN
fumecheng-1617	21	21	were	be	AUX
fumecheng-1617	21	22	developed	develop	VERB
fumecheng-1617	21	23	.	.	PUNCT
fumecheng-1617	22	1	even	even	ADV
fumecheng-1617	22	2	some	some	DET
fumecheng-1617	22	3	classic	classic	ADJ
fumecheng-1617	22	4	,	,	PUNCT
fumecheng-1617	22	5	lagrangian	lagrangian	ADJ
fumecheng-1617	22	6	formulation	formulation	NOUN
fumecheng-1617	22	7	based	base	VERB
fumecheng-1617	22	8	developments	development	NOUN
fumecheng-1617	22	9	used	use	VERB
fumecheng-1617	22	10	certain	certain	ADJ
fumecheng-1617	22	11	aspects	aspect	NOUN
fumecheng-1617	22	12	of	of	ADP
fumecheng-1617	22	13	the	the	DET
fumecheng-1617	22	14	co	co	ADJ
fumecheng-1617	22	15	-	-	ADJ
fumecheng-1617	22	16	rotational	rotational	ADJ
fumecheng-1617	22	17	formulation	formulation	NOUN
fumecheng-1617	22	18	such	such	ADJ
fumecheng-1617	22	19	as	as	ADP
fumecheng-1617	22	20	the	the	DET
fumecheng-1617	22	21	element	element	NOUN
fumecheng-1617	22	22	attached	attach	VERB
fumecheng-1617	22	23	co	co	ADJ
fumecheng-1617	22	24	-	-	ADJ
fumecheng-1617	22	25	rotational	rotational	ADJ
fumecheng-1617	22	26	frame	frame	NOUN
fumecheng-1617	22	27	to	to	PART
fumecheng-1617	22	28	determine	determine	VERB
fumecheng-1617	22	29	the	the	DET
fumecheng-1617	22	30	true	true	ADJ
fumecheng-1617	22	31	strains	strain	NOUN
fumecheng-1617	22	32	and	and	CCONJ
fumecheng-1617	22	33	stresses	stress	VERB
fumecheng-1617	22	34	[	[	X
fumecheng-1617	22	35	3	3	NUM
fumecheng-1617	22	36	]	]	PUNCT
fumecheng-1617	22	37	.	.	PUNCT
fumecheng-1617	23	1	a	a	DET
fumecheng-1617	23	2	rather	rather	ADV
fumecheng-1617	23	3	thorough	thorough	ADJ
fumecheng-1617	23	4	and	and	CCONJ
fumecheng-1617	23	5	systematic	systematic	ADJ
fumecheng-1617	23	6	description	description	NOUN
fumecheng-1617	23	7	of	of	ADP
fumecheng-1617	23	8	the	the	DET
fumecheng-1617	23	9	small	small	ADJ
fumecheng-1617	23	10	-	-	PUNCT
fumecheng-1617	23	11	strain	strain	NOUN
fumecheng-1617	23	12	co	co	ADJ
fumecheng-1617	23	13	-	-	ADJ
fumecheng-1617	23	14	rotational	rotational	ADJ
fumecheng-1617	23	15	finite	finite	ADJ
fumecheng-1617	23	16	shell	shell	NOUN
fumecheng-1617	23	17	and	and	CCONJ
fumecheng-1617	23	18	beam	beam	NOUN
fumecheng-1617	23	19	elements	element	NOUN
fumecheng-1617	23	20	is	be	AUX
fumecheng-1617	23	21	available	available	ADJ
fumecheng-1617	23	22	in	in	ADP
fumecheng-1617	23	23	the	the	DET
fumecheng-1617	23	24	literature	literature	NOUN
fumecheng-1617	23	25	[	[	X
fumecheng-1617	23	26	1	1	NUM
fumecheng-1617	23	27	,	,	PUNCT
fumecheng-1617	23	28	4	4	NUM
fumecheng-1617	23	29	,	,	PUNCT
fumecheng-1617	23	30	5	5	NUM
fumecheng-1617	23	31	]	]	PUNCT
fumecheng-1617	23	32	.	.	PUNCT
fumecheng-1617	24	1	in	in	ADP
fumecheng-1617	24	2	those	those	DET
fumecheng-1617	24	3	developments	development	NOUN
fumecheng-1617	24	4	,	,	PUNCT
fumecheng-1617	24	5	a	a	DET
fumecheng-1617	24	6	local	local	ADJ
fumecheng-1617	24	7	frame	frame	NOUN
fumecheng-1617	24	8	was	be	AUX
fumecheng-1617	24	9	defined	define	VERB
fumecheng-1617	24	10	at	at	ADP
fumecheng-1617	24	11	an	an	DET
fumecheng-1617	24	12	arbitrary	arbitrary	ADJ
fumecheng-1617	24	13	node	node	NOUN
fumecheng-1617	24	14	of	of	ADP
fumecheng-1617	24	15	the	the	DET
fumecheng-1617	24	16	element	element	NOUN
fumecheng-1617	24	17	.	.	PUNCT
fumecheng-1617	25	1	the	the	DET
fumecheng-1617	25	2	orientation	orientation	NOUN
fumecheng-1617	25	3	change	change	NOUN
fumecheng-1617	25	4	of	of	ADP
fumecheng-1617	25	5	the	the	DET
fumecheng-1617	25	6	local	local	ADJ
fumecheng-1617	25	7	frame	frame	NOUN
fumecheng-1617	25	8	was	be	AUX
fumecheng-1617	25	9	used	use	VERB
fumecheng-1617	25	10	to	to	PART
fumecheng-1617	25	11	represent	represent	VERB
fumecheng-1617	25	12	the	the	DET
fumecheng-1617	25	13	element	element	ADJ
fumecheng-1617	25	14	rigid	rigid	ADJ
fumecheng-1617	25	15	-	-	PUNCT
fumecheng-1617	25	16	body	body	NOUN
fumecheng-1617	25	17	rotation	rotation	NOUN
fumecheng-1617	25	18	.	.	PUNCT
fumecheng-1617	26	1	on	on	ADP
fumecheng-1617	26	2	this	this	DET
fumecheng-1617	26	3	basis	basis	NOUN
fumecheng-1617	26	4	,	,	PUNCT
fumecheng-1617	26	5	the	the	DET
fumecheng-1617	26	6	rotationfree	rotationfree	ADJ
fumecheng-1617	26	7	nodal	nodal	NOUN
fumecheng-1617	26	8	displacements	displacement	NOUN
fumecheng-1617	26	9	are	be	AUX
fumecheng-1617	26	10	determined	determine	VERB
fumecheng-1617	26	11	by	by	ADP
fumecheng-1617	26	12	filtering	filter	VERB
fumecheng-1617	26	13	out	out	ADP
fumecheng-1617	26	14	the	the	DET
fumecheng-1617	26	15	rigid	rigid	ADJ
fumecheng-1617	26	16	body	body	NOUN
fumecheng-1617	26	17	rotation	rotation	NOUN
fumecheng-1617	26	18	from	from	ADP
fumecheng-1617	26	19	the	the	DET
fumecheng-1617	26	20	global	global	ADJ
fumecheng-1617	26	21	displacements	displacement	NOUN
fumecheng-1617	26	22	.	.	PUNCT
fumecheng-1617	27	1	furthermore	furthermore	ADV
fumecheng-1617	27	2	,	,	PUNCT
fumecheng-1617	27	3	the	the	DET
fumecheng-1617	27	4	internal	internal	ADJ
fumecheng-1617	27	5	element	element	NOUN
fumecheng-1617	27	6	forces	force	NOUN
fumecheng-1617	27	7	were	be	AUX
fumecheng-1617	27	8	derived	derive	VERB
fumecheng-1617	27	9	using	use	VERB
fumecheng-1617	27	10	a	a	DET
fumecheng-1617	27	11	consistent	consistent	ADJ
fumecheng-1617	27	12	linearization	linearization	NOUN
fumecheng-1617	27	13	of	of	ADP
fumecheng-1617	27	14	the	the	DET
fumecheng-1617	27	15	internal	internal	ADJ
fumecheng-1617	27	16	element	element	NOUN
fumecheng-1617	27	17	energy	energy	NOUN
fumecheng-1617	27	18	with	with	ADP
fumecheng-1617	27	19	respect	respect	NOUN
fumecheng-1617	27	20	to	to	ADP
fumecheng-1617	27	21	the	the	DET
fumecheng-1617	27	22	global	global	ADJ
fumecheng-1617	27	23	element	element	NOUN
fumecheng-1617	27	24	displacements	displacement	NOUN
fumecheng-1617	27	25	.	.	PUNCT
fumecheng-1617	28	1	marinkovic	marinkovic	ADJ
fumecheng-1617	28	2	and	and	CCONJ
fumecheng-1617	28	3	zehn	zehn	NOUN
fumecheng-1617	29	1	[	[	X
fumecheng-1617	29	2	2	2	NUM
fumecheng-1617	29	3	]	]	PUNCT
fumecheng-1617	29	4	presented	present	VERB
fumecheng-1617	29	5	a	a	DET
fumecheng-1617	29	6	simplified	simplified	ADJ
fumecheng-1617	29	7	co	co	ADJ
fumecheng-1617	29	8	-	-	ADJ
fumecheng-1617	29	9	rotational	rotational	ADJ
fumecheng-1617	29	10	fe	fe	NOUN
fumecheng-1617	29	11	formulation	formulation	NOUN
fumecheng-1617	29	12	using	use	VERB
fumecheng-1617	29	13	the	the	DET
fumecheng-1617	29	14	linear	linear	ADJ
fumecheng-1617	29	15	tetrahedral	tetrahedral	ADJ
fumecheng-1617	29	16	element	element	NOUN
fumecheng-1617	29	17	for	for	ADP
fumecheng-1617	29	18	highly	highly	ADV
fumecheng-1617	29	19	efficient	efficient	ADJ
fumecheng-1617	29	20	computation	computation	NOUN
fumecheng-1617	29	21	of	of	ADP
fumecheng-1617	29	22	geometrically	geometrically	ADV
fumecheng-1617	29	23	nonlinear	nonlinear	ADJ
fumecheng-1617	29	24	deformations	deformation	NOUN
fumecheng-1617	29	25	in	in	ADP
fumecheng-1617	29	26	the	the	DET
fumecheng-1617	29	27	field	field	NOUN
fumecheng-1617	29	28	of	of	ADP
fumecheng-1617	29	29	multibody	multibody	ADJ
fumecheng-1617	29	30	systems	system	NOUN
fumecheng-1617	29	31	(	(	PUNCT
fumecheng-1617	29	32	mbs	mb	NOUN
fumecheng-1617	29	33	)	)	PUNCT
fumecheng-1617	29	34	and	and	CCONJ
fumecheng-1617	29	35	realtime	realtime	ADJ
fumecheng-1617	29	36	simulations	simulation	NOUN
fumecheng-1617	29	37	.	.	PUNCT
fumecheng-1617	30	1	this	this	DET
fumecheng-1617	30	2	development	development	NOUN
fumecheng-1617	30	3	was	be	AUX
fumecheng-1617	30	4	based	base	VERB
fumecheng-1617	30	5	on	on	ADP
fumecheng-1617	30	6	a	a	DET
fumecheng-1617	30	7	single	single	ADJ
fumecheng-1617	30	8	co	co	ADJ
fumecheng-1617	30	9	-	-	ADJ
fumecheng-1617	30	10	rotational	rotational	ADJ
fumecheng-1617	30	11	frame	frame	NOUN
fumecheng-1617	30	12	per	per	ADP
fumecheng-1617	30	13	finite	finite	ADJ
fumecheng-1617	30	14	element	element	NOUN
fumecheng-1617	30	15	and	and	CCONJ
fumecheng-1617	30	16	a	a	DET
fumecheng-1617	30	17	linear	linear	ADJ
fumecheng-1617	30	18	element	element	NOUN
fumecheng-1617	30	19	stiffness	stiffness	NOUN
fumecheng-1617	30	20	matrix	matrix	NOUN
fumecheng-1617	30	21	with	with	ADP
fumecheng-1617	30	22	respect	respect	NOUN
fumecheng-1617	30	23	to	to	ADP
fumecheng-1617	30	24	the	the	DET
fumecheng-1617	30	25	co	co	ADJ
fumecheng-1617	30	26	-	-	ADJ
fumecheng-1617	30	27	rotational	rotational	ADJ
fumecheng-1617	30	28	frame	frame	NOUN
fumecheng-1617	30	29	.	.	PUNCT
fumecheng-1617	31	1	in	in	ADP
fumecheng-1617	31	2	the	the	DET
fumecheng-1617	31	3	work	work	NOUN
fumecheng-1617	31	4	of	of	ADP
fumecheng-1617	31	5	crisfield	crisfield	NOUN
fumecheng-1617	31	6	and	and	CCONJ
fumecheng-1617	31	7	moita	moita	VERB
fumecheng-1617	31	8	[	[	X
fumecheng-1617	31	9	6	6	NUM
fumecheng-1617	31	10	,	,	PUNCT
fumecheng-1617	31	11	7	7	NUM
fumecheng-1617	31	12	]	]	PUNCT
fumecheng-1617	31	13	,	,	PUNCT
fumecheng-1617	31	14	a	a	DET
fumecheng-1617	31	15	co	co	ADJ
fumecheng-1617	31	16	-	-	ADJ
fumecheng-1617	31	17	rotational	rotational	ADJ
fumecheng-1617	31	18	hexahedral	hexahedral	ADJ
fumecheng-1617	31	19	element	element	NOUN
fumecheng-1617	31	20	has	have	AUX
fumecheng-1617	31	21	been	be	AUX
fumecheng-1617	31	22	developed	develop	VERB
fumecheng-1617	31	23	that	that	PRON
fumecheng-1617	31	24	enabled	enable	VERB
fumecheng-1617	31	25	computation	computation	NOUN
fumecheng-1617	31	26	of	of	ADP
fumecheng-1617	31	27	deformations	deformation	NOUN
fumecheng-1617	31	28	involving	involve	VERB
fumecheng-1617	31	29	large	large	ADJ
fumecheng-1617	31	30	strains	strain	NOUN
fumecheng-1617	31	31	.	.	PUNCT
fumecheng-1617	32	1	for	for	ADP
fumecheng-1617	32	2	this	this	DET
fumecheng-1617	32	3	purpose	purpose	NOUN
fumecheng-1617	32	4	,	,	PUNCT
fumecheng-1617	32	5	incompatible	incompatible	ADJ
fumecheng-1617	32	6	displacement	displacement	ADJ
fumecheng-1617	32	7	modes	mode	NOUN
fumecheng-1617	32	8	were	be	AUX
fumecheng-1617	32	9	used	use	VERB
fumecheng-1617	32	10	to	to	PART
fumecheng-1617	32	11	enhance	enhance	VERB
fumecheng-1617	32	12	the	the	DET
fumecheng-1617	32	13	accuracy	accuracy	NOUN
fumecheng-1617	32	14	of	of	ADP
fumecheng-1617	32	15	computing	compute	VERB
fumecheng-1617	32	16	the	the	DET
fumecheng-1617	32	17	local	local	ADJ
fumecheng-1617	32	18	element	element	NOUN
fumecheng-1617	32	19	displacements	displacement	NOUN
fumecheng-1617	32	20	.	.	PUNCT
fumecheng-1617	33	1	in	in	ADP
fumecheng-1617	33	2	addition	addition	NOUN
fumecheng-1617	33	3	,	,	PUNCT
fumecheng-1617	33	4	the	the	DET
fumecheng-1617	33	5	element	element	NOUN
fumecheng-1617	33	6	force	force	NOUN
fumecheng-1617	33	7	vector	vector	NOUN
fumecheng-1617	33	8	and	and	CCONJ
fumecheng-1617	33	9	stiffness	stiffness	ADJ
fumecheng-1617	33	10	matrix	matrix	NOUN
fumecheng-1617	33	11	were	be	AUX
fumecheng-1617	33	12	estimated	estimate	VERB
fumecheng-1617	33	13	using	use	VERB
fumecheng-1617	33	14	the	the	DET
fumecheng-1617	33	15	assumption	assumption	NOUN
fumecheng-1617	33	16	that	that	SCONJ
fumecheng-1617	33	17	the	the	DET
fumecheng-1617	33	18	spin	spin	NOUN
fumecheng-1617	33	19	at	at	ADP
fumecheng-1617	33	20	the	the	DET
fumecheng-1617	33	21	element	element	NOUN
fumecheng-1617	33	22	centroid	centroid	NOUN
fumecheng-1617	33	23	was	be	AUX
fumecheng-1617	33	24	zero	zero	NUM
fumecheng-1617	33	25	.	.	PUNCT
fumecheng-1617	34	1	espath	espath	PROPN
fumecheng-1617	34	2	et	et	PROPN
fumecheng-1617	34	3	al	al	PROPN
fumecheng-1617	34	4	.	.	PUNCT
fumecheng-1617	35	1	[	[	X
fumecheng-1617	35	2	8	8	NUM
fumecheng-1617	35	3	]	]	PUNCT
fumecheng-1617	35	4	used	use	VERB
fumecheng-1617	35	5	the	the	DET
fumecheng-1617	35	6	co	co	ADJ
fumecheng-1617	35	7	-	-	ADJ
fumecheng-1617	35	8	rotational	rotational	ADJ
fumecheng-1617	35	9	approach	approach	NOUN
fumecheng-1617	35	10	in	in	ADP
fumecheng-1617	35	11	combination	combination	NOUN
fumecheng-1617	35	12	with	with	ADP
fumecheng-1617	35	13	the	the	DET
fumecheng-1617	35	14	nurbs	nurbs	NOUN
fumecheng-1617	35	15	-	-	PUNCT
fumecheng-1617	35	16	based	base	VERB
fumecheng-1617	35	17	isogeometric	isogeometric	ADJ
fumecheng-1617	35	18	fem	fem	NOUN
fumecheng-1617	35	19	to	to	PART
fumecheng-1617	35	20	solve	solve	VERB
fumecheng-1617	35	21	geometrically	geometrically	ADV
fumecheng-1617	35	22	nonlinear	nonlinear	ADJ
fumecheng-1617	35	23	dynamic	dynamic	ADJ
fumecheng-1617	35	24	problems	problem	NOUN
fumecheng-1617	35	25	.	.	PUNCT
fumecheng-1617	36	1	in	in	ADP
fumecheng-1617	36	2	this	this	DET
fumecheng-1617	36	3	work	work	NOUN
fumecheng-1617	36	4	,	,	PUNCT
fumecheng-1617	36	5	a	a	DET
fumecheng-1617	36	6	co	co	ADJ
fumecheng-1617	36	7	-	-	ADJ
fumecheng-1617	36	8	rotational	rotational	ADJ
fumecheng-1617	36	9	formulation	formulation	NOUN
fumecheng-1617	36	10	for	for	ADP
fumecheng-1617	36	11	the	the	DET
fumecheng-1617	36	12	non	non	ADJ
fumecheng-1617	36	13	-	-	ADJ
fumecheng-1617	36	14	linear	linear	ADJ
fumecheng-1617	36	15	static	static	ADJ
fumecheng-1617	36	16	fe	fe	NOUN
fumecheng-1617	36	17	analysis	analysis	NOUN
fumecheng-1617	36	18	is	be	AUX
fumecheng-1617	36	19	given	give	VERB
fumecheng-1617	36	20	using	use	VERB
fumecheng-1617	36	21	the	the	DET
fumecheng-1617	36	22	tetrahedral	tetrahedral	ADJ
fumecheng-1617	36	23	element	element	NOUN
fumecheng-1617	36	24	with	with	ADP
fumecheng-1617	36	25	the	the	DET
fumecheng-1617	36	26	volume	volume	NOUN
fumecheng-1617	36	27	coordinates	coordinate	NOUN
fumecheng-1617	36	28	as	as	ADP
fumecheng-1617	36	29	linear	linear	PROPN
fumecheng-1617	36	30	shape	shape	NOUN
fumecheng-1617	36	31	functions	function	NOUN
fumecheng-1617	36	32	.	.	PUNCT
fumecheng-1617	37	1	the	the	DET
fumecheng-1617	37	2	rigid	rigid	ADJ
fumecheng-1617	37	3	-	-	PUNCT
fumecheng-1617	37	4	body	body	NOUN
fumecheng-1617	37	5	rotation	rotation	NOUN
fumecheng-1617	37	6	is	be	AUX
fumecheng-1617	37	7	estimated	estimate	VERB
fumecheng-1617	37	8	by	by	ADP
fumecheng-1617	37	9	the	the	DET
fumecheng-1617	37	10	polar	polar	ADJ
fumecheng-1617	37	11	decomposition	decomposition	NOUN
fumecheng-1617	37	12	of	of	ADP
fumecheng-1617	37	13	the	the	DET
fumecheng-1617	37	14	deformation	deformation	NOUN
fumecheng-1617	37	15	gradient	gradient	NOUN
fumecheng-1617	37	16	,	,	PUNCT
fumecheng-1617	37	17	which	which	PRON
fumecheng-1617	37	18	is	be	AUX
fumecheng-1617	37	19	determined	determine	VERB
fumecheng-1617	37	20	based	base	VERB
fumecheng-1617	37	21	on	on	ADP
fumecheng-1617	37	22	the	the	DET
fumecheng-1617	37	23	initial	initial	ADJ
fumecheng-1617	37	24	and	and	CCONJ
fumecheng-1617	37	25	deformed	deform	VERB
fumecheng-1617	37	26	element	element	NOUN
fumecheng-1617	37	27	configurations	configuration	NOUN
fumecheng-1617	37	28	.	.	PUNCT
fumecheng-1617	38	1	in	in	ADP
fumecheng-1617	38	2	addition	addition	NOUN
fumecheng-1617	38	3	,	,	PUNCT
fumecheng-1617	38	4	the	the	DET
fumecheng-1617	38	5	internal	internal	ADJ
fumecheng-1617	38	6	element	element	NOUN
fumecheng-1617	38	7	forces	force	NOUN
fumecheng-1617	38	8	and	and	CCONJ
fumecheng-1617	38	9	element	element	ADJ
fumecheng-1617	38	10	stiffness	stiffness	NOUN
fumecheng-1617	38	11	matrix	matrix	NOUN
fumecheng-1617	38	12	are	be	AUX
fumecheng-1617	38	13	computed	compute	VERB
fumecheng-1617	38	14	using	use	VERB
fumecheng-1617	38	15	directly	directly	ADV
fumecheng-1617	38	16	the	the	DET
fumecheng-1617	38	17	consistent	consistent	ADJ
fumecheng-1617	38	18	variations	variation	NOUN
fumecheng-1617	38	19	of	of	ADP
fumecheng-1617	38	20	the	the	DET
fumecheng-1617	38	21	internal	internal	ADJ
fumecheng-1617	38	22	element	element	NOUN
fumecheng-1617	38	23	energy	energy	NOUN
fumecheng-1617	38	24	with	with	ADP
fumecheng-1617	38	25	respect	respect	NOUN
fumecheng-1617	38	26	to	to	ADP
fumecheng-1617	38	27	the	the	DET
fumecheng-1617	38	28	global	global	ADJ
fumecheng-1617	38	29	displacements	displacement	NOUN
fumecheng-1617	38	30	.	.	PUNCT
fumecheng-1617	39	1	a	a	DET
fumecheng-1617	39	2	resulting	result	VERB
fumecheng-1617	39	3	projector	projector	NOUN
fumecheng-1617	39	4	matrix	matrix	NOUN
fumecheng-1617	39	5	is	be	AUX
fumecheng-1617	39	6	used	use	VERB
fumecheng-1617	39	7	to	to	PART
fumecheng-1617	39	8	improve	improve	VERB
fumecheng-1617	39	9	the	the	DET
fumecheng-1617	39	10	results	result	NOUN
fumecheng-1617	39	11	.	.	PUNCT
fumecheng-1617	40	1	the	the	DET
fumecheng-1617	40	2	paper	paper	NOUN
fumecheng-1617	40	3	is	be	AUX
fumecheng-1617	40	4	organized	organize	VERB
fumecheng-1617	40	5	as	as	SCONJ
fumecheng-1617	40	6	follows	follow	VERB
fumecheng-1617	40	7	.	.	PUNCT
fumecheng-1617	41	1	after	after	ADP
fumecheng-1617	41	2	the	the	DET
fumecheng-1617	41	3	introduction	introduction	NOUN
fumecheng-1617	41	4	,	,	PUNCT
fumecheng-1617	41	5	in	in	ADP
fumecheng-1617	41	6	the	the	DET
fumecheng-1617	41	7	second	second	ADJ
fumecheng-1617	41	8	section	section	NOUN
fumecheng-1617	41	9	,	,	PUNCT
fumecheng-1617	41	10	the	the	DET
fumecheng-1617	41	11	co	co	ADJ
fumecheng-1617	41	12	-	-	ADJ
fumecheng-1617	41	13	rotational	rotational	ADJ
fumecheng-1617	41	14	kinematics	kinematic	NOUN
fumecheng-1617	41	15	and	and	CCONJ
fumecheng-1617	41	16	the	the	DET
fumecheng-1617	41	17	method	method	NOUN
fumecheng-1617	41	18	to	to	PART
fumecheng-1617	41	19	handle	handle	VERB
fumecheng-1617	41	20	the	the	DET
fumecheng-1617	41	21	rigid	rigid	ADJ
fumecheng-1617	41	22	-	-	PUNCT
fumecheng-1617	41	23	body	body	NOUN
fumecheng-1617	41	24	rotation	rotation	NOUN
fumecheng-1617	41	25	for	for	ADP
fumecheng-1617	41	26	the	the	DET
fumecheng-1617	41	27	tetrahedral	tetrahedral	ADJ
fumecheng-1617	41	28	element	element	NOUN
fumecheng-1617	41	29	are	be	AUX
fumecheng-1617	41	30	presented	present	VERB
fumecheng-1617	41	31	.	.	PUNCT
fumecheng-1617	42	1	the	the	DET
fumecheng-1617	42	2	derivation	derivation	NOUN
fumecheng-1617	42	3	of	of	ADP
fumecheng-1617	42	4	the	the	DET
fumecheng-1617	42	5	internal	internal	ADJ
fumecheng-1617	42	6	force	force	NOUN
fumecheng-1617	42	7	vector	vector	NOUN
fumecheng-1617	42	8	and	and	CCONJ
fumecheng-1617	42	9	the	the	DET
fumecheng-1617	42	10	tangent	tangent	ADJ
fumecheng-1617	42	11	stiffness	stiffness	NOUN
fumecheng-1617	42	12	matrix	matrix	NOUN
fumecheng-1617	42	13	are	be	AUX
fumecheng-1617	42	14	given	give	VERB
fumecheng-1617	42	15	in	in	ADP
fumecheng-1617	42	16	the	the	DET
fumecheng-1617	42	17	third	third	ADJ
fumecheng-1617	42	18	section	section	NOUN
fumecheng-1617	42	19	.	.	PUNCT
fumecheng-1617	43	1	the	the	DET
fumecheng-1617	43	2	fourth	fourth	ADJ
fumecheng-1617	43	3	section	section	NOUN
fumecheng-1617	43	4	gives	give	VERB
fumecheng-1617	43	5	the	the	DET
fumecheng-1617	43	6	numerical	numerical	ADJ
fumecheng-1617	43	7	procedure	procedure	NOUN
fumecheng-1617	43	8	of	of	ADP
fumecheng-1617	43	9	the	the	DET
fumecheng-1617	43	10	co	co	ADJ
fumecheng-1617	43	11	-	-	ADJ
fumecheng-1617	43	12	rotational	rotational	ADJ
fumecheng-1617	43	13	fem	fem	NOUN
fumecheng-1617	43	14	as	as	ADP
fumecheng-1617	43	15	a	a	DET
fumecheng-1617	43	16	flow	flow	NOUN
fumecheng-1617	43	17	chart	chart	NOUN
fumecheng-1617	43	18	followed	follow	VERB
fumecheng-1617	43	19	by	by	ADP
fumecheng-1617	43	20	a	a	DET
fumecheng-1617	43	21	couple	couple	NOUN
fumecheng-1617	43	22	of	of	ADP
fumecheng-1617	43	23	numerical	numerical	ADJ
fumecheng-1617	43	24	examples	example	NOUN
fumecheng-1617	43	25	to	to	PART
fumecheng-1617	43	26	verify	verify	VERB
fumecheng-1617	43	27	the	the	DET
fumecheng-1617	43	28	accuracy	accuracy	NOUN
fumecheng-1617	43	29	and	and	CCONJ
fumecheng-1617	43	30	to	to	PART
fumecheng-1617	43	31	assess	assess	VERB
fumecheng-1617	43	32	the	the	DET
fumecheng-1617	43	33	method	method	NOUN
fumecheng-1617	43	34	efficiency	efficiency	NOUN
fumecheng-1617	43	35	.	.	PUNCT
fumecheng-1617	44	1	finally	finally	ADV
fumecheng-1617	44	2	,	,	PUNCT
fumecheng-1617	44	3	based	base	VERB
fumecheng-1617	44	4	on	on	ADP
fumecheng-1617	44	5	the	the	DET
fumecheng-1617	44	6	obtained	obtain	VERB
fumecheng-1617	44	7	results	result	NOUN
fumecheng-1617	44	8	,	,	PUNCT
fumecheng-1617	44	9	conclusions	conclusion	NOUN
fumecheng-1617	44	10	are	be	AUX
fumecheng-1617	44	11	drawn	draw	VERB
fumecheng-1617	44	12	.	.	PUNCT
fumecheng-1617	45	1	an	an	DET
fumecheng-1617	45	2	efficient	efficient	ADJ
fumecheng-1617	45	3	co	co	ADJ
fumecheng-1617	45	4	-	-	ADJ
fumecheng-1617	45	5	rotational	rotational	ADJ
fumecheng-1617	45	6	fem	fem	NOUN
fumecheng-1617	45	7	formulation	formulation	NOUN
fumecheng-1617	45	8	using	use	VERB
fumecheng-1617	45	9	a	a	DET
fumecheng-1617	45	10	projector	projector	NOUN
fumecheng-1617	45	11	matrix	matrix	NOUN
fumecheng-1617	45	12	229	229	NUM
fumecheng-1617	45	13	2	2	NUM
fumecheng-1617	45	14	.	.	PUNCT
fumecheng-1617	45	15	non	non	ADJ
fumecheng-1617	45	16	-	-	ADJ
fumecheng-1617	45	17	linear	linear	ADJ
fumecheng-1617	45	18	co	co	ADJ
fumecheng-1617	45	19	-	-	ADJ
fumecheng-1617	45	20	rotational	rotational	ADJ
fumecheng-1617	45	21	element	element	NOUN
fumecheng-1617	45	22	kinematics	kinematic	NOUN
fumecheng-1617	45	23	in	in	ADP
fumecheng-1617	45	24	this	this	DET
fumecheng-1617	45	25	section	section	NOUN
fumecheng-1617	45	26	,	,	PUNCT
fumecheng-1617	45	27	important	important	ADJ
fumecheng-1617	45	28	kinematical	kinematical	ADJ
fumecheng-1617	45	29	relations	relation	NOUN
fumecheng-1617	45	30	for	for	ADP
fumecheng-1617	45	31	the	the	DET
fumecheng-1617	45	32	calculation	calculation	NOUN
fumecheng-1617	45	33	of	of	ADP
fumecheng-1617	45	34	the	the	DET
fumecheng-1617	45	35	purely	purely	ADV
fumecheng-1617	45	36	deformational	deformational	ADJ
fumecheng-1617	45	37	part	part	NOUN
fumecheng-1617	45	38	are	be	AUX
fumecheng-1617	45	39	given	give	VERB
fumecheng-1617	45	40	.	.	PUNCT
fumecheng-1617	46	1	in	in	ADP
fumecheng-1617	46	2	addition	addition	NOUN
fumecheng-1617	46	3	,	,	PUNCT
fumecheng-1617	46	4	a	a	DET
fumecheng-1617	46	5	method	method	NOUN
fumecheng-1617	46	6	to	to	PART
fumecheng-1617	46	7	calculate	calculate	VERB
fumecheng-1617	46	8	the	the	DET
fumecheng-1617	46	9	rigid	rigid	ADJ
fumecheng-1617	46	10	-	-	PUNCT
fumecheng-1617	46	11	body	body	NOUN
fumecheng-1617	46	12	rotation	rotation	NOUN
fumecheng-1617	46	13	by	by	ADP
fumecheng-1617	46	14	means	mean	NOUN
fumecheng-1617	46	15	of	of	ADP
fumecheng-1617	46	16	the	the	DET
fumecheng-1617	46	17	newton	newton	PROPN
fumecheng-1617	46	18	-	-	PUNCT
fumecheng-1617	46	19	raphson	raphson	NOUN
fumecheng-1617	46	20	iteration	iteration	NOUN
fumecheng-1617	46	21	is	be	AUX
fumecheng-1617	46	22	described	describe	VERB
fumecheng-1617	46	23	in	in	ADP
fumecheng-1617	46	24	detail	detail	NOUN
fumecheng-1617	46	25	.	.	PUNCT
fumecheng-1617	47	1	2.1	2.1	NUM
fumecheng-1617	47	2	.	.	PUNCT
fumecheng-1617	47	3	rotation	rotation	NOUN
fumecheng-1617	47	4	-	-	PUNCT
fumecheng-1617	47	5	free	free	ADJ
fumecheng-1617	47	6	element	element	NOUN
fumecheng-1617	47	7	displacements	displacement	NOUN
fumecheng-1617	47	8	two	two	NUM
fumecheng-1617	47	9	coordinate	coordinate	NOUN
fumecheng-1617	47	10	systems	system	NOUN
fumecheng-1617	47	11	are	be	AUX
fumecheng-1617	47	12	applied	apply	VERB
fumecheng-1617	47	13	to	to	PART
fumecheng-1617	47	14	fully	fully	ADV
fumecheng-1617	47	15	describe	describe	VERB
fumecheng-1617	47	16	the	the	DET
fumecheng-1617	47	17	motion	motion	NOUN
fumecheng-1617	47	18	of	of	ADP
fumecheng-1617	47	19	an	an	DET
fumecheng-1617	47	20	element	element	NOUN
fumecheng-1617	47	21	.	.	PUNCT
fumecheng-1617	48	1	a	a	DET
fumecheng-1617	48	2	fixed	fix	VERB
fumecheng-1617	48	3	global	global	ADJ
fumecheng-1617	48	4	coordinate	coordinate	NOUN
fumecheng-1617	48	5	system	system	NOUN
fumecheng-1617	48	6	(	(	PUNCT
fumecheng-1617	48	7	xg	xg	PROPN
fumecheng-1617	48	8	,	,	PUNCT
fumecheng-1617	48	9	yg	yg	PROPN
fumecheng-1617	48	10	,	,	PUNCT
fumecheng-1617	48	11	zg	zg	PROPN
fumecheng-1617	48	12	)	)	PUNCT
fumecheng-1617	48	13	measures	measure	VERB
fumecheng-1617	48	14	the	the	DET
fumecheng-1617	48	15	global	global	ADJ
fumecheng-1617	48	16	nodal	nodal	NOUN
fumecheng-1617	48	17	positions	position	NOUN
fumecheng-1617	48	18	,	,	PUNCT
fumecheng-1617	48	19	whereas	whereas	SCONJ
fumecheng-1617	48	20	a	a	DET
fumecheng-1617	48	21	local	local	ADJ
fumecheng-1617	48	22	co	co	ADJ
fumecheng-1617	48	23	-	-	ADJ
fumecheng-1617	48	24	rotational	rotational	ADJ
fumecheng-1617	48	25	system	system	NOUN
fumecheng-1617	48	26	(	(	PUNCT
fumecheng-1617	48	27	xl	xl	PROPN
fumecheng-1617	48	28	,	,	PUNCT
fumecheng-1617	48	29	yl	yl	NOUN
fumecheng-1617	48	30	,	,	PUNCT
fumecheng-1617	48	31	zl	zl	NOUN
fumecheng-1617	48	32	)	)	PUNCT
fumecheng-1617	48	33	is	be	AUX
fumecheng-1617	48	34	defined	define	VERB
fumecheng-1617	48	35	at	at	ADP
fumecheng-1617	48	36	a	a	DET
fumecheng-1617	48	37	node	node	NOUN
fumecheng-1617	48	38	and	and	CCONJ
fumecheng-1617	48	39	rigidly	rigidly	ADV
fumecheng-1617	48	40	translated	translate	VERB
fumecheng-1617	48	41	and	and	CCONJ
fumecheng-1617	48	42	rotated	rotate	VERB
fumecheng-1617	48	43	with	with	ADP
fumecheng-1617	48	44	the	the	DET
fumecheng-1617	48	45	element	element	NOUN
fumecheng-1617	48	46	.	.	PUNCT
fumecheng-1617	49	1	while	while	SCONJ
fumecheng-1617	49	2	it	it	PRON
fumecheng-1617	49	3	moves	move	VERB
fumecheng-1617	49	4	with	with	ADP
fumecheng-1617	49	5	the	the	DET
fumecheng-1617	49	6	element	element	NOUN
fumecheng-1617	49	7	,	,	PUNCT
fumecheng-1617	49	8	it	it	PRON
fumecheng-1617	49	9	remains	remain	VERB
fumecheng-1617	49	10	an	an	DET
fumecheng-1617	49	11	orthogonal	orthogonal	ADJ
fumecheng-1617	49	12	frame	frame	NOUN
fumecheng-1617	49	13	.	.	PUNCT
fumecheng-1617	50	1	the	the	DET
fumecheng-1617	50	2	motion	motion	NOUN
fumecheng-1617	50	3	of	of	ADP
fumecheng-1617	50	4	an	an	DET
fumecheng-1617	50	5	element	element	NOUN
fumecheng-1617	50	6	from	from	ADP
fumecheng-1617	50	7	the	the	DET
fumecheng-1617	50	8	initial	initial	ADJ
fumecheng-1617	50	9	(	(	PUNCT
fumecheng-1617	50	10	undeformed	undeformed	ADJ
fumecheng-1617	50	11	)	)	PUNCT
fumecheng-1617	50	12	to	to	ADP
fumecheng-1617	50	13	the	the	DET
fumecheng-1617	50	14	current	current	ADJ
fumecheng-1617	50	15	(	(	PUNCT
fumecheng-1617	50	16	deformed	deformed	ADJ
fumecheng-1617	50	17	)	)	PUNCT
fumecheng-1617	50	18	configuration	configuration	NOUN
fumecheng-1617	50	19	is	be	AUX
fumecheng-1617	50	20	depicted	depict	VERB
fumecheng-1617	50	21	in	in	ADP
fumecheng-1617	50	22	fig	fig	NOUN
fumecheng-1617	50	23	.	.	PUNCT
fumecheng-1617	51	1	1	1	X
fumecheng-1617	51	2	.	.	X
fumecheng-1617	51	3	origin	origin	NOUN
fumecheng-1617	51	4	0	0	NUM
fumecheng-1617	51	5	of	of	ADP
fumecheng-1617	51	6	the	the	DET
fumecheng-1617	51	7	local	local	ADJ
fumecheng-1617	51	8	element	element	NOUN
fumecheng-1617	51	9	system	system	NOUN
fumecheng-1617	51	10	is	be	AUX
fumecheng-1617	51	11	here	here	ADV
fumecheng-1617	51	12	defined	define	VERB
fumecheng-1617	51	13	at	at	ADP
fumecheng-1617	51	14	one	one	NUM
fumecheng-1617	51	15	of	of	ADP
fumecheng-1617	51	16	the	the	DET
fumecheng-1617	51	17	nodes	node	NOUN
fumecheng-1617	51	18	.	.	PUNCT
fumecheng-1617	52	1	in	in	ADP
fumecheng-1617	52	2	the	the	DET
fumecheng-1617	52	3	initial	initial	ADJ
fumecheng-1617	52	4	configuration	configuration	NOUN
fumecheng-1617	52	5	,	,	PUNCT
fumecheng-1617	52	6	the	the	DET
fumecheng-1617	52	7	element	element	NOUN
fumecheng-1617	52	8	has	have	VERB
fumecheng-1617	52	9	an	an	DET
fumecheng-1617	52	10	orientation	orientation	NOUN
fumecheng-1617	52	11	matrix	matrix	NOUN
fumecheng-1617	52	12	t0	t0	PROPN
fumecheng-1617	52	13	that	that	PRON
fumecheng-1617	52	14	remains	remain	VERB
fumecheng-1617	52	15	constant	constant	ADJ
fumecheng-1617	52	16	during	during	ADP
fumecheng-1617	52	17	the	the	DET
fumecheng-1617	52	18	analysis	analysis	NOUN
fumecheng-1617	52	19	.	.	PUNCT
fumecheng-1617	53	1	the	the	DET
fumecheng-1617	53	2	current	current	ADJ
fumecheng-1617	53	3	deformed	deform	VERB
fumecheng-1617	53	4	configuration	configuration	NOUN
fumecheng-1617	53	5	can	can	AUX
fumecheng-1617	53	6	be	be	AUX
fumecheng-1617	53	7	transformed	transform	VERB
fumecheng-1617	53	8	back	back	ADV
fumecheng-1617	53	9	to	to	ADP
fumecheng-1617	53	10	the	the	DET
fumecheng-1617	53	11	initial	initial	ADJ
fumecheng-1617	53	12	one	one	NUM
fumecheng-1617	53	13	by	by	ADP
fumecheng-1617	53	14	matrix	matrix	NOUN
fumecheng-1617	53	15	(	(	PUNCT
fumecheng-1617	53	16	t0	t0	NOUN
fumecheng-1617	53	17	t+δt	t+δt	NOUN
fumecheng-1617	53	18	r	r	NOUN
fumecheng-1617	53	19	(	(	PUNCT
fumecheng-1617	53	20	i))t	i))t	PROPN
fumecheng-1617	53	21	,	,	PUNCT
fumecheng-1617	53	22	where	where	SCONJ
fumecheng-1617	53	23	t+δt	t+δt	NOUN
fumecheng-1617	53	24	r	r	NOUN
fumecheng-1617	53	25	(	(	PUNCT
fumecheng-1617	53	26	i	i	NOUN
fumecheng-1617	53	27	)	)	PUNCT
fumecheng-1617	53	28	is	be	AUX
fumecheng-1617	53	29	the	the	DET
fumecheng-1617	53	30	rigid	rigid	ADJ
fumecheng-1617	53	31	-	-	PUNCT
fumecheng-1617	53	32	body	body	NOUN
fumecheng-1617	53	33	rotation	rotation	NOUN
fumecheng-1617	53	34	matrix	matrix	NOUN
fumecheng-1617	53	35	determined	determine	VERB
fumecheng-1617	53	36	in	in	ADP
fumecheng-1617	53	37	each	each	DET
fumecheng-1617	53	38	iteration	iteration	NOUN
fumecheng-1617	53	39	i	i	PRON
fumecheng-1617	53	40	within	within	ADP
fumecheng-1617	53	41	the	the	DET
fumecheng-1617	53	42	increment	increment	NOUN
fumecheng-1617	53	43	at	at	ADP
fumecheng-1617	53	44	time	time	NOUN
fumecheng-1617	53	45	t+δt	t+δt	PROPN
fumecheng-1617	53	46	.	.	PUNCT
fumecheng-1617	54	1	fig	fig	NOUN
fumecheng-1617	54	2	.	.	PUNCT
fumecheng-1617	55	1	1	1	NUM
fumecheng-1617	55	2	the	the	DET
fumecheng-1617	55	3	co	co	ADJ
fumecheng-1617	55	4	-	-	ADJ
fumecheng-1617	55	5	rotational	rotational	ADJ
fumecheng-1617	55	6	description	description	NOUN
fumecheng-1617	55	7	of	of	ADP
fumecheng-1617	55	8	the	the	DET
fumecheng-1617	55	9	tetrahedral	tetrahedral	ADJ
fumecheng-1617	55	10	element	element	NOUN
fumecheng-1617	55	11	kinematics	kinematic	NOUN
fumecheng-1617	55	12	by	by	ADP
fumecheng-1617	55	13	comparing	compare	VERB
fumecheng-1617	55	14	the	the	DET
fumecheng-1617	55	15	back	back	NOUN
fumecheng-1617	55	16	rotated	rotate	VERB
fumecheng-1617	55	17	with	with	ADP
fumecheng-1617	55	18	the	the	DET
fumecheng-1617	55	19	initial	initial	ADJ
fumecheng-1617	55	20	element	element	NOUN
fumecheng-1617	55	21	configuration	configuration	NOUN
fumecheng-1617	55	22	,	,	PUNCT
fumecheng-1617	55	23	the	the	DET
fumecheng-1617	55	24	pure	pure	ADJ
fumecheng-1617	55	25	deformational	deformational	ADJ
fumecheng-1617	55	26	displacements	displacement	NOUN
fumecheng-1617	55	27	of	of	ADP
fumecheng-1617	55	28	node	node	PROPN
fumecheng-1617	55	29	j	j	PROPN
fumecheng-1617	55	30	are	be	AUX
fumecheng-1617	55	31	computed	compute	VERB
fumecheng-1617	55	32	as	as	SCONJ
fumecheng-1617	55	33	shown	show	VERB
fumecheng-1617	55	34	in	in	ADP
fumecheng-1617	55	35	[	[	X
fumecheng-1617	55	36	9	9	NUM
fumecheng-1617	55	37	]	]	SYM
fumecheng-1617	55	38	:	:	PUNCT
fumecheng-1617	56	1	t	t	X
fumecheng-1617	56	2	δt	δt	X
fumecheng-1617	56	3	(	(	PUNCT
fumecheng-1617	56	4	i	i	NOUN
fumecheng-1617	56	5	)	)	PUNCT
fumecheng-1617	56	6	t	t	PROPN
fumecheng-1617	56	7	δt	δt	X
fumecheng-1617	56	8	(	(	PUNCT
fumecheng-1617	56	9	i	i	NOUN
fumecheng-1617	56	10	)	)	PUNCT
fumecheng-1617	56	11	t	t	PROPN
fumecheng-1617	56	12	t	t	X
fumecheng-1617	56	13	δt	δt	PROPN
fumecheng-1617	56	14	(	(	PUNCT
fumecheng-1617	56	15	i	i	NOUN
fumecheng-1617	56	16	)	)	PUNCT
fumecheng-1617	56	17	t	t	PROPN
fumecheng-1617	56	18	δt	δt	X
fumecheng-1617	56	19	(	(	PUNCT
fumecheng-1617	56	20	i	i	NOUN
fumecheng-1617	56	21	)	)	PUNCT
fumecheng-1617	56	22	t	t	PROPN
fumecheng-1617	56	23	j	j	PROPN
fumecheng-1617	56	24	0	0	PUNCT
fumecheng-1617	57	1	j	j	PROPN
fumecheng-1617	57	2	0	0	NUM
fumecheng-1617	57	3	0	0	NUM
fumecheng-1617	57	4	j	j	PROPN
fumecheng-1617	57	5	0	0	NUM
fumecheng-1617	57	6	(	(	PUNCT
fumecheng-1617	57	7	)	)	PUNCT
fumecheng-1617	57	8	(	(	PUNCT
fumecheng-1617	57	9	)	)	PUNCT
fumecheng-1617	57	10	(	(	PUNCT
fumecheng-1617	57	11	)	)	PUNCT
fumecheng-1617	57	12			PROPN
fumecheng-1617	57	13			VERB
fumecheng-1617	57	14			PUNCT
fumecheng-1617	57	15			PROPN
fumecheng-1617	57	16			PROPN
fumecheng-1617	57	17			PROPN
fumecheng-1617	57	18	u	u	VERB
fumecheng-1617	57	19	t	t	NOUN
fumecheng-1617	57	20	r	r	NOUN
fumecheng-1617	57	21	x	x	PUNCT
fumecheng-1617	57	22	x	x	X
fumecheng-1617	57	23	t	t	NOUN
fumecheng-1617	57	24	x	x	SYM
fumecheng-1617	57	25	x	x	SYM
fumecheng-1617	57	26	,	,	PUNCT
fumecheng-1617	57	27	(	(	PUNCT
fumecheng-1617	57	28	1	1	X
fumecheng-1617	57	29	)	)	PUNCT
fumecheng-1617	57	30	where	where	SCONJ
fumecheng-1617	57	31	t+δt	t+δt	NOUN
fumecheng-1617	57	32	xj	xj	PROPN
fumecheng-1617	57	33	(	(	PUNCT
fumecheng-1617	57	34	i	i	NOUN
fumecheng-1617	57	35	)	)	PUNCT
fumecheng-1617	57	36	and	and	CCONJ
fumecheng-1617	57	37	t+δt	t+δt	NOUN
fumecheng-1617	57	38	x0	x0	PROPN
fumecheng-1617	57	39	(	(	PUNCT
fumecheng-1617	57	40	j	j	NOUN
fumecheng-1617	57	41	)	)	PUNCT
fumecheng-1617	57	42	are	be	AUX
fumecheng-1617	57	43	the	the	DET
fumecheng-1617	57	44	actual	actual	ADJ
fumecheng-1617	57	45	global	global	ADJ
fumecheng-1617	57	46	nodal	nodal	NOUN
fumecheng-1617	57	47	position	position	NOUN
fumecheng-1617	57	48	of	of	ADP
fumecheng-1617	57	49	node	node	PROPN
fumecheng-1617	57	50	j	j	PROPN
fumecheng-1617	57	51	and	and	CCONJ
fumecheng-1617	57	52	the	the	DET
fumecheng-1617	57	53	origin	origin	NOUN
fumecheng-1617	57	54	of	of	ADP
fumecheng-1617	57	55	the	the	DET
fumecheng-1617	57	56	co	co	ADJ
fumecheng-1617	57	57	-	-	ADJ
fumecheng-1617	57	58	rotational	rotational	ADJ
fumecheng-1617	57	59	system	system	NOUN
fumecheng-1617	57	60	(	(	PUNCT
fumecheng-1617	57	61	crs	crs	PROPN
fumecheng-1617	57	62	)	)	PUNCT
fumecheng-1617	57	63	,	,	PUNCT
fumecheng-1617	57	64	respectively	respectively	ADV
fumecheng-1617	57	65	.	.	PUNCT
fumecheng-1617	58	1	similarly	similarly	ADV
fumecheng-1617	58	2	,	,	PUNCT
fumecheng-1617	58	3	xj	xj	PROPN
fumecheng-1617	58	4	and	and	CCONJ
fumecheng-1617	58	5	x0	x0	PROPN
fumecheng-1617	58	6	represent	represent	VERB
fumecheng-1617	58	7	their	their	PRON
fumecheng-1617	58	8	counterparts	counterpart	NOUN
fumecheng-1617	58	9	in	in	ADP
fumecheng-1617	58	10	the	the	DET
fumecheng-1617	58	11	initial	initial	ADJ
fumecheng-1617	58	12	element	element	NOUN
fumecheng-1617	58	13	configuration	configuration	NOUN
fumecheng-1617	58	14	.	.	PUNCT
fumecheng-1617	59	1	2.2	2.2	NUM
fumecheng-1617	59	2	.	.	PUNCT
fumecheng-1617	59	3	rigid	rigid	ADJ
fumecheng-1617	59	4	-	-	PUNCT
fumecheng-1617	59	5	body	body	NOUN
fumecheng-1617	59	6	rotation	rotation	NOUN
fumecheng-1617	59	7	in	in	ADP
fumecheng-1617	59	8	general	general	ADJ
fumecheng-1617	59	9	,	,	PUNCT
fumecheng-1617	59	10	rigid	rigid	ADJ
fumecheng-1617	59	11	-	-	PUNCT
fumecheng-1617	59	12	body	body	NOUN
fumecheng-1617	59	13	rotation	rotation	NOUN
fumecheng-1617	59	14	r	r	NOUN
fumecheng-1617	59	15	at	at	ADP
fumecheng-1617	59	16	a	a	DET
fumecheng-1617	59	17	point	point	NOUN
fumecheng-1617	59	18	of	of	ADP
fumecheng-1617	59	19	a	a	DET
fumecheng-1617	59	20	deformable	deformable	ADJ
fumecheng-1617	59	21	3d	3d	NUM
fumecheng-1617	59	22	-	-	PUNCT
fumecheng-1617	59	23	continuum	continuum	ADJ
fumecheng-1617	59	24	can	can	AUX
fumecheng-1617	59	25	be	be	AUX
fumecheng-1617	59	26	calculated	calculate	VERB
fumecheng-1617	59	27	by	by	ADP
fumecheng-1617	59	28	the	the	DET
fumecheng-1617	59	29	polar	polar	ADJ
fumecheng-1617	59	30	decomposition	decomposition	NOUN
fumecheng-1617	59	31	of	of	ADP
fumecheng-1617	59	32	deformation	deformation	NOUN
fumecheng-1617	59	33	gradient	gradient	NOUN
fumecheng-1617	59	34	,	,	PUNCT
fumecheng-1617	59	35	f	f	X
fumecheng-1617	59	36	,	,	PUNCT
fumecheng-1617	59	37	which	which	PRON
fumecheng-1617	59	38	is	be	AUX
fumecheng-1617	59	39	given	give	VERB
fumecheng-1617	59	40	as	as	ADP
fumecheng-1617	59	41	:	:	PUNCT
fumecheng-1617	59	42	ruf	ruf	NOUN
fumecheng-1617	59	43			NOUN
fumecheng-1617	59	44	.	.	PUNCT
fumecheng-1617	60	1	(	(	PUNCT
fumecheng-1617	60	2	2	2	NUM
fumecheng-1617	60	3	)	)	PUNCT
fumecheng-1617	60	4	230	230	NUM
fumecheng-1617	60	5	v.	v.	ADP
fumecheng-1617	60	6	a	a	DET
fumecheng-1617	60	7	nguyen	nguyen	NOUN
fumecheng-1617	60	8	,	,	PUNCT
fumecheng-1617	60	9	m.	m.	NOUN
fumecheng-1617	60	10	zehn	zehn	PROPN
fumecheng-1617	60	11	,	,	PUNCT
fumecheng-1617	60	12	d.	d.	PROPN
fumecheng-1617	60	13	marinković	marinković	PROPN
fumecheng-1617	60	14	where	where	SCONJ
fumecheng-1617	60	15	u	u	NOUN
fumecheng-1617	60	16	is	be	AUX
fumecheng-1617	60	17	the	the	DET
fumecheng-1617	60	18	right	right	ADJ
fumecheng-1617	60	19	stretch	stretch	NOUN
fumecheng-1617	60	20	matrix	matrix	NOUN
fumecheng-1617	60	21	that	that	PRON
fumecheng-1617	60	22	describes	describe	VERB
fumecheng-1617	60	23	the	the	DET
fumecheng-1617	60	24	non	non	ADJ
fumecheng-1617	60	25	-	-	ADJ
fumecheng-1617	60	26	linear	linear	ADJ
fumecheng-1617	60	27	deformation	deformation	NOUN
fumecheng-1617	60	28	of	of	ADP
fumecheng-1617	60	29	an	an	DET
fumecheng-1617	60	30	infinitesimal	infinitesimal	ADJ
fumecheng-1617	60	31	small	small	ADJ
fumecheng-1617	60	32	volume	volume	NOUN
fumecheng-1617	60	33	around	around	ADP
fumecheng-1617	60	34	the	the	DET
fumecheng-1617	60	35	considered	consider	VERB
fumecheng-1617	60	36	point	point	NOUN
fumecheng-1617	60	37	.	.	PUNCT
fumecheng-1617	61	1	for	for	ADP
fumecheng-1617	61	2	3d	3d	NUM
fumecheng-1617	61	3	solid	solid	ADJ
fumecheng-1617	61	4	finite	finite	ADJ
fumecheng-1617	61	5	elements	element	NOUN
fumecheng-1617	61	6	,	,	PUNCT
fumecheng-1617	61	7	the	the	DET
fumecheng-1617	61	8	deformation	deformation	NOUN
fumecheng-1617	61	9	gradient	gradient	NOUN
fumecheng-1617	61	10	is	be	AUX
fumecheng-1617	61	11	typically	typically	ADV
fumecheng-1617	61	12	determined	determined	ADJ
fumecheng-1617	61	13	at	at	ADP
fumecheng-1617	61	14	the	the	DET
fumecheng-1617	61	15	integration	integration	NOUN
fumecheng-1617	61	16	points	point	NOUN
fumecheng-1617	61	17	of	of	ADP
fumecheng-1617	61	18	the	the	DET
fumecheng-1617	61	19	element	element	NOUN
fumecheng-1617	61	20	.	.	PUNCT
fumecheng-1617	62	1	however	however	ADV
fumecheng-1617	62	2	,	,	PUNCT
fumecheng-1617	62	3	since	since	SCONJ
fumecheng-1617	62	4	a	a	DET
fumecheng-1617	62	5	linear	linear	PROPN
fumecheng-1617	62	6	3d	3d	PROPN
fumecheng-1617	62	7	tetrahedral	tetrahedral	ADJ
fumecheng-1617	62	8	element	element	NOUN
fumecheng-1617	62	9	is	be	AUX
fumecheng-1617	62	10	used	use	VERB
fumecheng-1617	62	11	in	in	ADP
fumecheng-1617	62	12	this	this	DET
fumecheng-1617	62	13	paper	paper	NOUN
fumecheng-1617	62	14	,	,	PUNCT
fumecheng-1617	62	15	whose	whose	DET
fumecheng-1617	62	16	shape	shape	NOUN
fumecheng-1617	62	17	functions	function	NOUN
fumecheng-1617	62	18	derivatives	derivative	NOUN
fumecheng-1617	62	19	are	be	AUX
fumecheng-1617	62	20	constant	constant	ADJ
fumecheng-1617	62	21	over	over	ADP
fumecheng-1617	62	22	the	the	DET
fumecheng-1617	62	23	volume	volume	NOUN
fumecheng-1617	62	24	of	of	ADP
fumecheng-1617	62	25	the	the	DET
fumecheng-1617	62	26	element	element	NOUN
fumecheng-1617	62	27	,	,	PUNCT
fumecheng-1617	62	28	there	there	PRON
fumecheng-1617	62	29	is	be	VERB
fumecheng-1617	62	30	a	a	DET
fumecheng-1617	62	31	unique	unique	ADJ
fumecheng-1617	62	32	rotational	rotational	ADJ
fumecheng-1617	62	33	matrix	matrix	NOUN
fumecheng-1617	62	34	that	that	PRON
fumecheng-1617	62	35	describes	describe	VERB
fumecheng-1617	62	36	the	the	DET
fumecheng-1617	62	37	rigid	rigid	ADJ
fumecheng-1617	62	38	-	-	PUNCT
fumecheng-1617	62	39	body	body	NOUN
fumecheng-1617	62	40	rotation	rotation	NOUN
fumecheng-1617	62	41	between	between	ADP
fumecheng-1617	62	42	two	two	NUM
fumecheng-1617	62	43	element	element	NOUN
fumecheng-1617	62	44	configurations	configuration	NOUN
fumecheng-1617	62	45	.	.	PUNCT
fumecheng-1617	63	1	there	there	PRON
fumecheng-1617	63	2	are	be	VERB
fumecheng-1617	63	3	various	various	ADJ
fumecheng-1617	63	4	approaches	approach	NOUN
fumecheng-1617	63	5	to	to	PART
fumecheng-1617	63	6	compute	compute	VERB
fumecheng-1617	63	7	the	the	DET
fumecheng-1617	63	8	deformation	deformation	NOUN
fumecheng-1617	63	9	gradient	gradient	NOUN
fumecheng-1617	63	10	[	[	X
fumecheng-1617	63	11	1	1	NUM
fumecheng-1617	63	12	,	,	PUNCT
fumecheng-1617	63	13	6	6	NUM
fumecheng-1617	63	14	]	]	PUNCT
fumecheng-1617	63	15	.	.	PUNCT
fumecheng-1617	64	1	in	in	ADP
fumecheng-1617	64	2	this	this	DET
fumecheng-1617	64	3	work	work	NOUN
fumecheng-1617	64	4	,	,	PUNCT
fumecheng-1617	64	5	the	the	DET
fumecheng-1617	64	6	newton	newton	PROPN
fumecheng-1617	64	7	-	-	PUNCT
fumecheng-1617	64	8	raphson	raphson	NOUN
fumecheng-1617	64	9	method	method	NOUN
fumecheng-1617	64	10	,	,	PUNCT
fumecheng-1617	64	11	as	as	SCONJ
fumecheng-1617	64	12	described	describe	VERB
fumecheng-1617	64	13	by	by	ADP
fumecheng-1617	64	14	rankin	rankin	PROPN
fumecheng-1617	65	1	[	[	X
fumecheng-1617	65	2	5	5	NUM
fumecheng-1617	65	3	]	]	PUNCT
fumecheng-1617	65	4	,	,	PUNCT
fumecheng-1617	65	5	is	be	AUX
fumecheng-1617	65	6	applied	apply	VERB
fumecheng-1617	65	7	.	.	PUNCT
fumecheng-1617	66	1	in	in	ADP
fumecheng-1617	66	2	the	the	DET
fumecheng-1617	66	3	first	first	ADJ
fumecheng-1617	66	4	step	step	NOUN
fumecheng-1617	66	5	,	,	PUNCT
fumecheng-1617	66	6	the	the	DET
fumecheng-1617	66	7	deformation	deformation	NOUN
fumecheng-1617	66	8	gradient	gradient	NOUN
fumecheng-1617	66	9	is	be	AUX
fumecheng-1617	66	10	estimated	estimate	VERB
fumecheng-1617	66	11	at	at	ADP
fumecheng-1617	66	12	the	the	DET
fumecheng-1617	66	13	center	center	NOUN
fumecheng-1617	66	14	of	of	ADP
fumecheng-1617	66	15	each	each	DET
fumecheng-1617	66	16	element	element	NOUN
fumecheng-1617	66	17	,	,	PUNCT
fumecheng-1617	66	18	which	which	PRON
fumecheng-1617	66	19	generally	generally	ADV
fumecheng-1617	66	20	requires	require	VERB
fumecheng-1617	66	21	a	a	DET
fumecheng-1617	66	22	choice	choice	NOUN
fumecheng-1617	66	23	of	of	ADP
fumecheng-1617	66	24	alternative	alternative	ADJ
fumecheng-1617	66	25	shape	shape	NOUN
fumecheng-1617	66	26	functions	function	NOUN
fumecheng-1617	66	27	at	at	ADP
fumecheng-1617	66	28	the	the	DET
fumecheng-1617	66	29	center	center	NOUN
fumecheng-1617	66	30	of	of	ADP
fumecheng-1617	66	31	the	the	DET
fumecheng-1617	66	32	element	element	NOUN
fumecheng-1617	66	33	.	.	PUNCT
fumecheng-1617	67	1	the	the	DET
fumecheng-1617	67	2	deformation	deformation	NOUN
fumecheng-1617	67	3	gradient	gradient	NOUN
fumecheng-1617	67	4	matrix	matrix	NOUN
fumecheng-1617	67	5	of	of	ADP
fumecheng-1617	67	6	an	an	DET
fumecheng-1617	67	7	element	element	NOUN
fumecheng-1617	67	8	in	in	ADP
fumecheng-1617	67	9	iteration	iteration	NOUN
fumecheng-1617	67	10	i	i	PRON
fumecheng-1617	67	11	within	within	ADP
fumecheng-1617	67	12	the	the	DET
fumecheng-1617	67	13	increment	increment	NOUN
fumecheng-1617	67	14	at	at	ADP
fumecheng-1617	67	15	time	time	NOUN
fumecheng-1617	67	16	t+∆t	t+∆t	PROPN
fumecheng-1617	67	17	is	be	AUX
fumecheng-1617	67	18	given	give	VERB
fumecheng-1617	67	19	as	as	ADP
fumecheng-1617	67	20	:	:	PUNCT
fumecheng-1617	67	21			X
fumecheng-1617	67	22			NOUN
fumecheng-1617	67	23			NUM
fumecheng-1617	68	1			NUM
fumecheng-1617	69	1	k	k	NOUN
fumecheng-1617	69	2	1j	1j	NUM
fumecheng-1617	69	3	t(i	t(i	NUM
fumecheng-1617	69	4	)	)	PUNCT
fumecheng-1617	70	1	j	j	PROPN
fumecheng-1617	70	2	tt	tt	PROPN
fumecheng-1617	70	3	j	j	PROPN
fumecheng-1617	70	4	0t(i)tt	0t(i)tt	PROPN
fumecheng-1617	70	5	xvf	xvf	PROPN
fumecheng-1617	70	6	,	,	PUNCT
fumecheng-1617	70	7	(	(	PUNCT
fumecheng-1617	70	8	3	3	X
fumecheng-1617	70	9	)	)	PUNCT
fumecheng-1617	70	10	where	where	SCONJ
fumecheng-1617	70	11	the	the	DET
fumecheng-1617	70	12	summation	summation	NOUN
fumecheng-1617	70	13	runs	run	VERB
fumecheng-1617	70	14	over	over	ADP
fumecheng-1617	70	15	all	all	DET
fumecheng-1617	70	16	element	element	NOUN
fumecheng-1617	70	17	nodes	node	NOUN
fumecheng-1617	70	18	,	,	PUNCT
fumecheng-1617	70	19	while	while	SCONJ
fumecheng-1617	70	20	constant	constant	ADJ
fumecheng-1617	70	21	interpolation	interpolation	NOUN
fumecheng-1617	70	22	function	function	VERB
fumecheng-1617	70	23	derivative	derivative	ADJ
fumecheng-1617	70	24	0vj	0vj	NOUN
fumecheng-1617	70	25	of	of	ADP
fumecheng-1617	70	26	a	a	DET
fumecheng-1617	70	27	node	node	PROPN
fumecheng-1617	70	28	j	j	PROPN
fumecheng-1617	70	29	is	be	AUX
fumecheng-1617	70	30	calculated	calculate	VERB
fumecheng-1617	70	31	as	as	ADP
fumecheng-1617	70	32	:	:	PUNCT
fumecheng-1617	70	33	t	t	PROPN
fumecheng-1617	71	1	jjj10	jjj10	PROPN
fumecheng-1617	71	2	j	j	PROPN
fumecheng-1617	71	3	0	0	NUM
fumecheng-1617	71	4	ggg	ggg	NOUN
fumecheng-1617	71	5			PROPN
fumecheng-1617	71	6			PROPN
fumecheng-1617	71	7			X
fumecheng-1617	71	8			NOUN
fumecheng-1617	71	9			VERB
fumecheng-1617	71	10			PROPN
fumecheng-1617	71	11			PROPN
fumecheng-1617	71	12			PROPN
fumecheng-1617	71	13			VERB
fumecheng-1617	71	14			PROPN
fumecheng-1617	71	15			CCONJ
fumecheng-1617	71	16			ADJ
fumecheng-1617	71	17			PROPN
fumecheng-1617	71	18			PROPN
fumecheng-1617	71	19	jv	jv	NOUN
fumecheng-1617	71	20	,	,	PUNCT
fumecheng-1617	71	21	(	(	PUNCT
fumecheng-1617	71	22	4	4	NUM
fumecheng-1617	71	23	)	)	PUNCT
fumecheng-1617	71	24	and	and	CCONJ
fumecheng-1617	71	25	it	it	PRON
fumecheng-1617	71	26	depends	depend	VERB
fumecheng-1617	71	27	only	only	ADV
fumecheng-1617	71	28	on	on	ADP
fumecheng-1617	71	29	shape	shape	NOUN
fumecheng-1617	71	30	functions	function	NOUN
fumecheng-1617	71	31	gj	gj	NOUN
fumecheng-1617	71	32	and	and	CCONJ
fumecheng-1617	71	33	the	the	DET
fumecheng-1617	71	34	initial	initial	ADJ
fumecheng-1617	71	35	element	element	NOUN
fumecheng-1617	71	36	geometry	geometry	NOUN
fumecheng-1617	71	37	[	[	X
fumecheng-1617	71	38	10	10	NUM
fumecheng-1617	71	39	]	]	PUNCT
fumecheng-1617	71	40	and	and	CCONJ
fumecheng-1617	71	41	finally	finally	ADV
fumecheng-1617	71	42	,	,	PUNCT
fumecheng-1617	71	43	(	(	PUNCT
fumecheng-1617	71	44	i	i	NOUN
fumecheng-1617	71	45	)	)	PUNCT
fumecheng-1617	72	1	j	j	PROPN
fumecheng-1617	72	2	tt	tt	PROPN
fumecheng-1617	72	3	x	x	PUNCT
fumecheng-1617	72	4			ADP
fumecheng-1617	72	5	is	be	AUX
fumecheng-1617	72	6	the	the	DET
fumecheng-1617	72	7	local	local	ADJ
fumecheng-1617	72	8	nodal	nodal	NOUN
fumecheng-1617	72	9	coordinate	coordinate	NOUN
fumecheng-1617	72	10	vector	vector	NOUN
fumecheng-1617	72	11	that	that	PRON
fumecheng-1617	72	12	can	can	AUX
fumecheng-1617	72	13	be	be	AUX
fumecheng-1617	72	14	given	give	VERB
fumecheng-1617	72	15	as	as	ADP
fumecheng-1617	72	16	:	:	PUNCT
fumecheng-1617	72	17	t	t	PROPN
fumecheng-1617	72	18	δt	δt	X
fumecheng-1617	72	19	(	(	PUNCT
fumecheng-1617	72	20	i	i	NOUN
fumecheng-1617	72	21	)	)	PUNCT
fumecheng-1617	72	22	t	t	PROPN
fumecheng-1617	72	23	t	t	X
fumecheng-1617	72	24	δt	δt	PROPN
fumecheng-1617	72	25	(	(	PUNCT
fumecheng-1617	72	26	i	i	NOUN
fumecheng-1617	72	27	)	)	PUNCT
fumecheng-1617	72	28	j	j	PROPN
fumecheng-1617	72	29	0	0	NUM
fumecheng-1617	73	1	j	j	PROPN
fumecheng-1617	73	2	0	0	PROPN
fumecheng-1617	73	3	j	j	PROPN
fumecheng-1617	73	4	(	(	PUNCT
fumecheng-1617	73	5	)	)	PUNCT
fumecheng-1617	73	6			ADJ
fumecheng-1617	73	7			ADJ
fumecheng-1617	73	8			PROPN
fumecheng-1617	73	9	x	x	PROPN
fumecheng-1617	73	10	t	t	PROPN
fumecheng-1617	73	11	x	x	PUNCT
fumecheng-1617	73	12	x	x	SYM
fumecheng-1617	73	13	u	u	NOUN
fumecheng-1617	73	14	(	(	PUNCT
fumecheng-1617	73	15	5	5	NUM
fumecheng-1617	73	16	)	)	PUNCT
fumecheng-1617	73	17	in	in	ADP
fumecheng-1617	73	18	eq	eq	ADP
fumecheng-1617	73	19	.	.	PUNCT
fumecheng-1617	74	1	(	(	PUNCT
fumecheng-1617	74	2	4	4	NUM
fumecheng-1617	74	3	)	)	PUNCT
fumecheng-1617	74	4	0	0	NUM
fumecheng-1617	75	1	j	j	NOUN
fumecheng-1617	75	2	is	be	AUX
fumecheng-1617	75	3	the	the	DET
fumecheng-1617	75	4	constant	constant	ADJ
fumecheng-1617	75	5	jacobian	jacobian	ADJ
fumecheng-1617	75	6	matrix	matrix	NOUN
fumecheng-1617	75	7	of	of	ADP
fumecheng-1617	75	8	the	the	DET
fumecheng-1617	75	9	dimension	dimension	NOUN
fumecheng-1617	75	10	3×3	3×3	NUM
fumecheng-1617	75	11	,	,	PUNCT
fumecheng-1617	75	12	which	which	PRON
fumecheng-1617	75	13	transforms	transform	VERB
fumecheng-1617	75	14	an	an	DET
fumecheng-1617	75	15	infinitesimal	infinitesimal	ADJ
fumecheng-1617	75	16	small	small	ADJ
fumecheng-1617	75	17	volume	volume	NOUN
fumecheng-1617	75	18	element	element	NOUN
fumecheng-1617	75	19	from	from	ADP
fumecheng-1617	75	20	the	the	DET
fumecheng-1617	75	21	natural	natural	ADJ
fumecheng-1617	75	22	(	(	PUNCT
fumecheng-1617	75	23	ξ	ξ	PROPN
fumecheng-1617	75	24	,	,	PUNCT
fumecheng-1617	75	25	η	η	NOUN
fumecheng-1617	75	26	,	,	PUNCT
fumecheng-1617	75	27			NOUN
fumecheng-1617	75	28	)	)	PUNCT
fumecheng-1617	75	29	to	to	ADP
fumecheng-1617	75	30	co	co	VERB
fumecheng-1617	75	31	-	-	ADJ
fumecheng-1617	75	32	rotational	rotational	ADJ
fumecheng-1617	75	33	cartesian	cartesian	ADJ
fumecheng-1617	75	34	frame	frame	NOUN
fumecheng-1617	75	35	(	(	PUNCT
fumecheng-1617	75	36	xl	xl	PROPN
fumecheng-1617	75	37	,	,	PUNCT
fumecheng-1617	75	38	yl	yl	NOUN
fumecheng-1617	75	39	,	,	PUNCT
fumecheng-1617	75	40	zl	zl	NOUN
fumecheng-1617	75	41	)	)	PUNCT
fumecheng-1617	75	42	in	in	ADP
fumecheng-1617	75	43	the	the	DET
fumecheng-1617	75	44	undeformed	undeformed	ADJ
fumecheng-1617	75	45	configuration	configuration	NOUN
fumecheng-1617	75	46	[	[	X
fumecheng-1617	75	47	11	11	NUM
fumecheng-1617	75	48	]	]	PUNCT
fumecheng-1617	75	49	.	.	PUNCT
fumecheng-1617	76	1	a	a	DET
fumecheng-1617	76	2	3d	3d	PROPN
fumecheng-1617	76	3	finite	finite	PROPN
fumecheng-1617	76	4	rotation	rotation	NOUN
fumecheng-1617	76	5	matrix	matrix	NOUN
fumecheng-1617	76	6	about	about	ADP
fumecheng-1617	76	7	a	a	DET
fumecheng-1617	76	8	rotation	rotation	NOUN
fumecheng-1617	76	9	axis	axis	NOUN
fumecheng-1617	76	10	r	r	NOUN
fumecheng-1617	76	11	in	in	ADP
fumecheng-1617	76	12	space	space	NOUN
fumecheng-1617	76	13	can	can	AUX
fumecheng-1617	76	14	be	be	AUX
fumecheng-1617	76	15	expressed	express	VERB
fumecheng-1617	76	16	as	as	ADP
fumecheng-1617	76	17	the	the	DET
fumecheng-1617	76	18	exponential	exponential	NOUN
fumecheng-1617	76	19	of	of	ADP
fumecheng-1617	76	20	a	a	DET
fumecheng-1617	76	21	3×3	3×3	NUM
fumecheng-1617	76	22	skew	skew	ADJ
fumecheng-1617	76	23	-	-	PUNCT
fumecheng-1617	76	24	symmetric	symmetric	ADJ
fumecheng-1617	76	25	matrix	matrix	NOUN
fumecheng-1617	76	26	s	s	PART
fumecheng-1617	76	27	[	[	X
fumecheng-1617	76	28	12	12	NUM
fumecheng-1617	76	29	]	]	X
fumecheng-1617	76	30	:	:	PUNCT
fumecheng-1617	76	31	2	2	NUM
fumecheng-1617	76	32	2	2	NUM
fumecheng-1617	76	33	2	2	NUM
fumecheng-1617	76	34	sin	sin	NOUN
fumecheng-1617	76	35	sin	sin	NOUN
fumecheng-1617	76	36	1	1	NUM
fumecheng-1617	76	37	2	2	NUM
fumecheng-1617	76	38	exp	exp	NOUN
fumecheng-1617	76	39	2	2	NUM
fumecheng-1617	76	40	2	2	NUM
fumecheng-1617	76	41			NOUN
fumecheng-1617	76	42			NOUN
fumecheng-1617	76	43			PROPN
fumecheng-1617	77	1			PROPN
fumecheng-1617	77	2			PROPN
fumecheng-1617	77	3			VERB
fumecheng-1617	78	1			PROPN
fumecheng-1617	78	2			PROPN
fumecheng-1617	78	3			PROPN
fumecheng-1617	78	4			NOUN
fumecheng-1617	78	5			PROPN
fumecheng-1617	78	6			PROPN
fumecheng-1617	78	7			PUNCT
fumecheng-1617	78	8			PUNCT
fumecheng-1617	79	1			PROPN
fumecheng-1617	79	2			PROPN
fumecheng-1617	80	1			PROPN
fumecheng-1617	80	2			PROPN
fumecheng-1617	81	1			PROPN
fumecheng-1617	81	2			NOUN
fumecheng-1617	81	3	r	r	NOUN
fumecheng-1617	81	4	s	s	VERB
fumecheng-1617	81	5	i	i	NOUN
fumecheng-1617	81	6	s	s	PROPN
fumecheng-1617	81	7	s	s	X
fumecheng-1617	81	8	(	(	PUNCT
fumecheng-1617	81	9	6	6	NUM
fumecheng-1617	81	10	)	)	PUNCT
fumecheng-1617	81	11	where	where	SCONJ
fumecheng-1617	81	12	skew	skew	NOUN
fumecheng-1617	81	13	-	-	PUNCT
fumecheng-1617	81	14	symmetric	symmetric	ADJ
fumecheng-1617	81	15	matrix	matrix	NOUN
fumecheng-1617	81	16	s	s	PART
fumecheng-1617	81	17	is	be	AUX
fumecheng-1617	81	18	defined	define	VERB
fumecheng-1617	81	19	by	by	ADP
fumecheng-1617	81	20	:	:	PUNCT
fumecheng-1617	82	1			PROPN
fumecheng-1617	82	2			PROPN
fumecheng-1617	82	3			PROPN
fumecheng-1617	82	4			PROPN
fumecheng-1617	82	5			X
fumecheng-1617	82	6			NOUN
fumecheng-1617	82	7			NOUN
fumecheng-1617	82	8			NOUN
fumecheng-1617	82	9			NOUN
fumecheng-1617	82	10			PROPN
fumecheng-1617	82	11			NOUN
fumecheng-1617	82	12			PROPN
fumecheng-1617	82	13			PROPN
fumecheng-1617	82	14			NUM
fumecheng-1617	82	15	0χ	0χ	NOUN
fumecheng-1617	82	16	0ψ	0ψ	NOUN
fumecheng-1617	82	17	χψ0	χψ0	ADP
fumecheng-1617	83	1	θspin	θspin	NOUN
fumecheng-1617	83	2	s	s	PART
fumecheng-1617	83	3	(	(	PUNCT
fumecheng-1617	83	4	7	7	NUM
fumecheng-1617	83	5	)	)	PUNCT
fumecheng-1617	83	6	and	and	CCONJ
fumecheng-1617	83	7	where	where	SCONJ
fumecheng-1617	83	8	so	so	ADV
fumecheng-1617	83	9	-	-	PUNCT
fumecheng-1617	83	10	called	call	VERB
fumecheng-1617	83	11	rotational	rotational	ADJ
fumecheng-1617	83	12	pseudo	pseudo	NOUN
fumecheng-1617	83	13	-	-	NOUN
fumecheng-1617	83	14	vector	vector	ADJ
fumecheng-1617	83	15	rθ	rθ	NOUN
fumecheng-1617	83	16			NOUN
fumecheng-1617	83	17	,	,	PUNCT
fumecheng-1617	83	18	which	which	PRON
fumecheng-1617	83	19	represents	represent	VERB
fumecheng-1617	83	20	a	a	DET
fumecheng-1617	83	21	finite	finite	ADJ
fumecheng-1617	83	22	rotation	rotation	NOUN
fumecheng-1617	83	23	θ	θ	PROPN
fumecheng-1617	83	24	along	along	ADP
fumecheng-1617	83	25	axis	axis	ADJ
fumecheng-1617	83	26	r	r	NOUN
fumecheng-1617	83	27	,	,	PUNCT
fumecheng-1617	83	28	is	be	AUX
fumecheng-1617	83	29	defined	define	VERB
fumecheng-1617	83	30	by	by	ADP
fumecheng-1617	83	31	rotations	rotation	NOUN
fumecheng-1617	83	32			ADJ
fumecheng-1617	83	33	,	,	PUNCT
fumecheng-1617	83	34			NOUN
fumecheng-1617	83	35	and	and	CCONJ
fumecheng-1617	83	36			NOUN
fumecheng-1617	83	37	around	around	ADP
fumecheng-1617	83	38	the	the	DET
fumecheng-1617	83	39	axes	axis	NOUN
fumecheng-1617	83	40	of	of	ADP
fumecheng-1617	83	41	the	the	DET
fumecheng-1617	83	42	cartesian	cartesian	ADJ
fumecheng-1617	83	43	system	system	NOUN
fumecheng-1617	83	44	,	,	PUNCT
fumecheng-1617	83	45	ex	ex	NOUN
fumecheng-1617	83	46	,	,	PUNCT
fumecheng-1617	83	47	ey	ey	X
fumecheng-1617	83	48	and	and	CCONJ
fumecheng-1617	83	49	ez	ez	PROPN
fumecheng-1617	83	50	,	,	PUNCT
fumecheng-1617	83	51	respectively	respectively	ADV
fumecheng-1617	83	52	,	,	PUNCT
fumecheng-1617	83	53	so	so	SCONJ
fumecheng-1617	83	54	that	that	SCONJ
fumecheng-1617	83	55	:	:	PUNCT
fumecheng-1617	83	56	an	an	DET
fumecheng-1617	83	57	efficient	efficient	ADJ
fumecheng-1617	83	58	co	co	ADJ
fumecheng-1617	83	59	-	-	ADJ
fumecheng-1617	83	60	rotational	rotational	ADJ
fumecheng-1617	83	61	fem	fem	NOUN
fumecheng-1617	83	62	formulation	formulation	NOUN
fumecheng-1617	83	63	using	use	VERB
fumecheng-1617	83	64	a	a	DET
fumecheng-1617	83	65	projector	projector	NOUN
fumecheng-1617	83	66	matrix	matrix	NOUN
fumecheng-1617	83	67	231	231	NUM
fumecheng-1617	83	68	zyx	zyx	PROPN
fumecheng-1617	83	69	eeeθ	eeeθ	PROPN
fumecheng-1617	83	70			PROPN
fumecheng-1617	83	71	(	(	PUNCT
fumecheng-1617	83	72	8)	8)	NUM
fumecheng-1617	83	73	variation	variation	NOUN
fumecheng-1617	83	74	of	of	ADP
fumecheng-1617	83	75	eq	eq	PROPN
fumecheng-1617	83	76	.	.	PUNCT
fumecheng-1617	84	1	(	(	PUNCT
fumecheng-1617	84	2	6	6	NUM
fumecheng-1617	84	3	)	)	PUNCT
fumecheng-1617	84	4	yields	yield	NOUN
fumecheng-1617	84	5	:	:	PUNCT
fumecheng-1617	84	6	spin	spin	NOUN
fumecheng-1617	84	7	(	(	PUNCT
fumecheng-1617	84	8	)	)	PUNCT
fumecheng-1617	84	9			NUM
fumecheng-1617	84	10			PROPN
fumecheng-1617	84	11	r	r	PROPN
fumecheng-1617	84	12	θ	θ	NOUN
fumecheng-1617	84	13	r	r	NOUN
fumecheng-1617	84	14	(	(	PUNCT
fumecheng-1617	84	15	9	9	X
fumecheng-1617	84	16	)	)	PUNCT
fumecheng-1617	84	17	using	use	VERB
fumecheng-1617	84	18	the	the	DET
fumecheng-1617	84	19	polar	polar	ADJ
fumecheng-1617	84	20	decomposition	decomposition	NOUN
fumecheng-1617	84	21	,	,	PUNCT
fumecheng-1617	84	22	eq	eq	NOUN
fumecheng-1617	84	23	.	.	PUNCT
fumecheng-1617	85	1	(	(	PUNCT
fumecheng-1617	85	2	2	2	NUM
fumecheng-1617	85	3	)	)	PUNCT
fumecheng-1617	85	4	,	,	PUNCT
fumecheng-1617	85	5	and	and	CCONJ
fumecheng-1617	85	6	the	the	DET
fumecheng-1617	85	7	orthogonality	orthogonality	NOUN
fumecheng-1617	85	8	property	property	NOUN
fumecheng-1617	85	9	of	of	ADP
fumecheng-1617	85	10	the	the	DET
fumecheng-1617	85	11	rotation	rotation	NOUN
fumecheng-1617	85	12	matrix	matrix	NOUN
fumecheng-1617	85	13	,	,	PUNCT
fumecheng-1617	85	14	the	the	DET
fumecheng-1617	85	15	variation	variation	NOUN
fumecheng-1617	85	16	of	of	ADP
fumecheng-1617	85	17	the	the	DET
fumecheng-1617	85	18	right	right	ADJ
fumecheng-1617	85	19	stretch	stretch	NOUN
fumecheng-1617	85	20	matrix	matrix	NOUN
fumecheng-1617	85	21	is	be	AUX
fumecheng-1617	85	22	obtained	obtain	VERB
fumecheng-1617	85	23	in	in	ADP
fumecheng-1617	85	24	the	the	DET
fumecheng-1617	85	25	same	same	ADJ
fumecheng-1617	85	26	way	way	NOUN
fumecheng-1617	85	27	:	:	PUNCT
fumecheng-1617	85	28	spin	spin	NOUN
fumecheng-1617	85	29	(	(	PUNCT
fumecheng-1617	85	30	)	)	PUNCT
fumecheng-1617	85	31			NUM
fumecheng-1617	85	32			ADJ
fumecheng-1617	85	33	u	u	NOUN
fumecheng-1617	85	34	θ	θ	NOUN
fumecheng-1617	85	35	u	u	NOUN
fumecheng-1617	85	36	(	(	PUNCT
fumecheng-1617	85	37	10	10	NUM
fumecheng-1617	85	38	)	)	PUNCT
fumecheng-1617	85	39	and	and	CCONJ
fumecheng-1617	85	40	the	the	DET
fumecheng-1617	85	41	following	follow	VERB
fumecheng-1617	85	42	relationship	relationship	NOUN
fumecheng-1617	85	43	can	can	AUX
fumecheng-1617	85	44	be	be	AUX
fumecheng-1617	85	45	derived	derive	VERB
fumecheng-1617	86	1	[	[	PUNCT
fumecheng-1617	86	2	5	5	NUM
fumecheng-1617	86	3	]	]	SYM
fumecheng-1617	86	4	:	:	PUNCT
fumecheng-1617	86	5	2	2	NUM
fumecheng-1617	86	6	(	(	PUNCT
fumecheng-1617	86	7	axial	axial	ADJ
fumecheng-1617	86	8	)	)	PUNCT
fumecheng-1617	86	9	(	(	PUNCT
fumecheng-1617	86	10	trace	trace	NOUN
fumecheng-1617	86	11	)	)	PUNCT
fumecheng-1617	86	12			NOUN
fumecheng-1617	86	13			NUM
fumecheng-1617	86	14			NUM
fumecheng-1617	86	15			NOUN
fumecheng-1617	86	16	u	u	NUM
fumecheng-1617	86	17	i	i	PRON
fumecheng-1617	86	18	u	u	VERB
fumecheng-1617	86	19	u	u	ADJ
fumecheng-1617	86	20	θ	θ	PROPN
fumecheng-1617	86	21	(	(	PUNCT
fumecheng-1617	86	22	11	11	NUM
fumecheng-1617	86	23	)	)	PUNCT
fumecheng-1617	86	24	this	this	DET
fumecheng-1617	86	25	equation	equation	NOUN
fumecheng-1617	86	26	is	be	AUX
fumecheng-1617	86	27	a	a	DET
fumecheng-1617	86	28	basis	basis	NOUN
fumecheng-1617	86	29	to	to	PART
fumecheng-1617	86	30	develop	develop	VERB
fumecheng-1617	86	31	an	an	DET
fumecheng-1617	86	32	iterative	iterative	NOUN
fumecheng-1617	86	33	process	process	NOUN
fumecheng-1617	86	34	in	in	ADP
fumecheng-1617	86	35	order	order	NOUN
fumecheng-1617	86	36	to	to	PART
fumecheng-1617	86	37	perform	perform	VERB
fumecheng-1617	86	38	the	the	DET
fumecheng-1617	86	39	polar	polar	ADJ
fumecheng-1617	86	40	decomposition	decomposition	NOUN
fumecheng-1617	86	41	.	.	PUNCT
fumecheng-1617	87	1	generally	generally	ADV
fumecheng-1617	87	2	,	,	PUNCT
fumecheng-1617	87	3	the	the	DET
fumecheng-1617	87	4	axial	axial	ADJ
fumecheng-1617	87	5	operator	operator	NOUN
fumecheng-1617	87	6	in	in	ADP
fumecheng-1617	87	7	eq	eq	ADP
fumecheng-1617	87	8	.	.	PUNCT
fumecheng-1617	88	1	(	(	PUNCT
fumecheng-1617	88	2	11	11	NUM
fumecheng-1617	88	3	)	)	PUNCT
fumecheng-1617	88	4	is	be	AUX
fumecheng-1617	88	5	the	the	DET
fumecheng-1617	88	6	inverse	inverse	NOUN
fumecheng-1617	88	7	of	of	ADP
fumecheng-1617	88	8	the	the	DET
fumecheng-1617	88	9	spin	spin	NOUN
fumecheng-1617	88	10	operator	operator	NOUN
fumecheng-1617	88	11	and	and	CCONJ
fumecheng-1617	88	12	it	it	PRON
fumecheng-1617	88	13	yields	yield	VERB
fumecheng-1617	88	14	an	an	DET
fumecheng-1617	88	15	axial	axial	ADJ
fumecheng-1617	88	16	vector	vector	NOUN
fumecheng-1617	88	17	a	a	NOUN
fumecheng-1617	88	18	from	from	ADP
fumecheng-1617	88	19	the	the	DET
fumecheng-1617	88	20	skew	skew	ADJ
fumecheng-1617	88	21	-	-	PUNCT
fumecheng-1617	88	22	symmetric	symmetric	ADJ
fumecheng-1617	88	23	part	part	NOUN
fumecheng-1617	88	24	of	of	ADP
fumecheng-1617	88	25	a	a	DET
fumecheng-1617	88	26	quadratic	quadratic	ADJ
fumecheng-1617	88	27	matrix	matrix	NOUN
fumecheng-1617	88	28	a	a	PRON
fumecheng-1617	88	29	by	by	ADP
fumecheng-1617	88	30	:	:	PUNCT
fumecheng-1617	88	31			PROPN
fumecheng-1617	88	32			PROPN
fumecheng-1617	88	33			NUM
fumecheng-1617	88	34			PRON
fumecheng-1617	88	35			PROPN
fumecheng-1617	88	36			PROPN
fumecheng-1617	88	37			NOUN
fumecheng-1617	88	38			NUM
fumecheng-1617	88	39	t	t	NOUN
fumecheng-1617	88	40	2	2	NUM
fumecheng-1617	88	41	1	1	NUM
fumecheng-1617	88	42	axial)spin	axial)spin	PROPN
fumecheng-1617	88	43	(	(	PUNCT
fumecheng-1617	88	44	axial	axial	ADJ
fumecheng-1617	88	45	aaaa	aaaa	NOUN
fumecheng-1617	88	46	(	(	PUNCT
fumecheng-1617	88	47	12	12	NUM
fumecheng-1617	88	48	)	)	PUNCT
fumecheng-1617	88	49	eq	eq	NOUN
fumecheng-1617	88	50	.	.	PUNCT
fumecheng-1617	89	1	(	(	PUNCT
fumecheng-1617	89	2	11	11	NUM
fumecheng-1617	89	3	)	)	PUNCT
fumecheng-1617	89	4	describes	describe	VERB
fumecheng-1617	89	5	a	a	DET
fumecheng-1617	89	6	way	way	NOUN
fumecheng-1617	89	7	to	to	PART
fumecheng-1617	89	8	calculate	calculate	VERB
fumecheng-1617	89	9	the	the	DET
fumecheng-1617	89	10	change	change	NOUN
fumecheng-1617	89	11	of	of	ADP
fumecheng-1617	89	12	pseudo	pseudo	NOUN
fumecheng-1617	89	13	vector	vector	NOUN
fumecheng-1617	89	14	δθ	δθ	NOUN
fumecheng-1617	89	15	with	with	ADP
fumecheng-1617	89	16	a	a	DET
fumecheng-1617	89	17	given	give	VERB
fumecheng-1617	89	18	right	right	ADJ
fumecheng-1617	89	19	stretch	stretch	NOUN
fumecheng-1617	89	20	matrix	matrix	NOUN
fumecheng-1617	89	21	u.	u.	NOUN
fumecheng-1617	89	22	hence	hence	ADV
fumecheng-1617	89	23	,	,	PUNCT
fumecheng-1617	89	24	the	the	DET
fumecheng-1617	89	25	change	change	NOUN
fumecheng-1617	89	26	of	of	ADP
fumecheng-1617	89	27	rotation	rotation	NOUN
fumecheng-1617	89	28	matrix	matrix	NOUN
fumecheng-1617	89	29	r	r	NOUN
fumecheng-1617	89	30	and	and	CCONJ
fumecheng-1617	89	31	the	the	DET
fumecheng-1617	89	32	actual	actual	ADJ
fumecheng-1617	89	33	right	right	ADJ
fumecheng-1617	89	34	stretch	stretch	NOUN
fumecheng-1617	89	35	matrix	matrix	NOUN
fumecheng-1617	89	36	in	in	ADP
fumecheng-1617	89	37	the	the	DET
fumecheng-1617	89	38	next	next	ADJ
fumecheng-1617	89	39	iteration	iteration	NOUN
fumecheng-1617	89	40	step	step	NOUN
fumecheng-1617	89	41	can	can	AUX
fumecheng-1617	89	42	be	be	AUX
fumecheng-1617	89	43	obtained	obtain	VERB
fumecheng-1617	89	44	using	use	VERB
fumecheng-1617	89	45	eqs	eqs	PROPN
fumecheng-1617	89	46	.	.	PUNCT
fumecheng-1617	90	1	(	(	PUNCT
fumecheng-1617	90	2	6	6	NUM
fumecheng-1617	90	3	)	)	PUNCT
fumecheng-1617	90	4	and	and	CCONJ
fumecheng-1617	90	5	(	(	PUNCT
fumecheng-1617	90	6	10	10	NUM
fumecheng-1617	90	7	)	)	PUNCT
fumecheng-1617	90	8	.	.	PUNCT
fumecheng-1617	91	1	this	this	DET
fumecheng-1617	91	2	iterative	iterative	NOUN
fumecheng-1617	91	3	process	process	NOUN
fumecheng-1617	91	4	is	be	AUX
fumecheng-1617	91	5	terminated	terminate	VERB
fumecheng-1617	91	6	when	when	SCONJ
fumecheng-1617	91	7	u	u	PRON
fumecheng-1617	91	8	becomes	become	VERB
fumecheng-1617	91	9	symmetric	symmetric	ADJ
fumecheng-1617	91	10	:	:	PUNCT
fumecheng-1617	92	1	0u	0u	ADJ
fumecheng-1617	92	2			PROPN
fumecheng-1617	92	3	axial	axial	ADJ
fumecheng-1617	92	4	(	(	PUNCT
fumecheng-1617	92	5	13	13	NUM
fumecheng-1617	92	6	)	)	PUNCT
fumecheng-1617	92	7	the	the	DET
fumecheng-1617	92	8	method	method	NOUN
fumecheng-1617	92	9	is	be	AUX
fumecheng-1617	92	10	performed	perform	VERB
fumecheng-1617	92	11	through	through	ADP
fumecheng-1617	92	12	the	the	DET
fumecheng-1617	92	13	following	follow	VERB
fumecheng-1617	92	14	steps	step	NOUN
fumecheng-1617	92	15	.	.	PUNCT
fumecheng-1617	93	1	in	in	ADP
fumecheng-1617	93	2	the	the	DET
fumecheng-1617	93	3	first	first	ADJ
fumecheng-1617	93	4	step	step	NOUN
fumecheng-1617	93	5	,	,	PUNCT
fumecheng-1617	93	6	deformation	deformation	NOUN
fumecheng-1617	93	7	gradient	gradient	NOUN
fumecheng-1617	93	8	f	f	PROPN
fumecheng-1617	93	9	is	be	AUX
fumecheng-1617	93	10	computed	compute	VERB
fumecheng-1617	93	11	using	use	VERB
fumecheng-1617	93	12	eq	eq	ADP
fumecheng-1617	93	13	.	.	PUNCT
fumecheng-1617	94	1	(	(	PUNCT
fumecheng-1617	94	2	3	3	NUM
fumecheng-1617	94	3	)	)	PUNCT
fumecheng-1617	94	4	and	and	CCONJ
fumecheng-1617	94	5	the	the	DET
fumecheng-1617	94	6	right	right	ADJ
fumecheng-1617	94	7	stretch	stretch	NOUN
fumecheng-1617	94	8	matrix	matrix	NOUN
fumecheng-1617	94	9	is	be	AUX
fumecheng-1617	94	10	initialized	initialize	VERB
fumecheng-1617	94	11	by	by	ADP
fumecheng-1617	94	12	:	:	PUNCT
fumecheng-1617	94	13	fu	fu	PROPN
fumecheng-1617	94	14	(0	(0	PROPN
fumecheng-1617	94	15	)	)	PUNCT
fumecheng-1617	94	16	(	(	PUNCT
fumecheng-1617	94	17	14	14	NUM
fumecheng-1617	94	18	)	)	PUNCT
fumecheng-1617	94	19	the	the	DET
fumecheng-1617	94	20	iterative	iterative	NOUN
fumecheng-1617	94	21	process	process	NOUN
fumecheng-1617	94	22	is	be	AUX
fumecheng-1617	94	23	performed	perform	VERB
fumecheng-1617	94	24	as	as	SCONJ
fumecheng-1617	94	25	follows	follow	VERB
fumecheng-1617	94	26	:	:	PUNCT
fumecheng-1617	94	27	(	(	PUNCT
fumecheng-1617	94	28	n	n	CCONJ
fumecheng-1617	94	29	)	)	PUNCT
fumecheng-1617	94	30	(	(	PUNCT
fumecheng-1617	94	31	n	n	CCONJ
fumecheng-1617	94	32	)	)	PUNCT
fumecheng-1617	94	33	(	(	PUNCT
fumecheng-1617	94	34	n	n	CCONJ
fumecheng-1617	94	35	)	)	PUNCT
fumecheng-1617	94	36	(	(	PUNCT
fumecheng-1617	94	37	n	n	X
fumecheng-1617	94	38	1)2(axial	1)2(axial	NUM
fumecheng-1617	94	39	)	)	PUNCT
fumecheng-1617	94	40	(	(	PUNCT
fumecheng-1617	94	41	trace	trace	NOUN
fumecheng-1617	94	42	)	)	PUNCT
fumecheng-1617	95	1			PROPN
fumecheng-1617	95	2			NUM
fumecheng-1617	95	3			PROPN
fumecheng-1617	95	4	u	u	NOUN
fumecheng-1617	96	1	i	i	PRON
fumecheng-1617	96	2	u	u	VERB
fumecheng-1617	96	3	u	u	X
fumecheng-1617	96	4	θ	θ	X
fumecheng-1617	96	5	(	(	PUNCT
fumecheng-1617	96	6	n	n	NOUN
fumecheng-1617	96	7	1	1	NUM
fumecheng-1617	96	8	)	)	PUNCT
fumecheng-1617	96	9	(	(	PUNCT
fumecheng-1617	96	10	n	n	PRON
fumecheng-1617	96	11	1)exp(spin	1)exp(spin	NOUN
fumecheng-1617	96	12	(	(	PUNCT
fumecheng-1617	96	13	)	)	PUNCT
fumecheng-1617	96	14	)	)	PUNCT
fumecheng-1617	96	15			PROPN
fumecheng-1617	97	1			PROPN
fumecheng-1617	97	2			PROPN
fumecheng-1617	98	1	r	r	NUM
fumecheng-1617	98	2	θ	θ	X
fumecheng-1617	98	3	(	(	PUNCT
fumecheng-1617	98	4	15	15	NUM
fumecheng-1617	98	5	)	)	PUNCT
fumecheng-1617	98	6	(	(	PUNCT
fumecheng-1617	98	7	n)1)(n1)(n	n)1)(n1)(n	PROPN
fumecheng-1617	98	8	uru	uru	PROPN
fumecheng-1617	98	9			PROPN
fumecheng-1617	98	10			PROPN
fumecheng-1617	98	11	the	the	DET
fumecheng-1617	98	12	iteration	iteration	NOUN
fumecheng-1617	98	13	is	be	AUX
fumecheng-1617	98	14	terminated	terminate	VERB
fumecheng-1617	98	15	,	,	PUNCT
fumecheng-1617	98	16	if	if	SCONJ
fumecheng-1617	98	17	the	the	DET
fumecheng-1617	98	18	magnitude	magnitude	NOUN
fumecheng-1617	98	19	of	of	ADP
fumecheng-1617	98	20	vector	vector	NOUN
fumecheng-1617	98	21	axialu(n	axialu(n	PROPN
fumecheng-1617	98	22	)	)	PUNCT
fumecheng-1617	98	23	is	be	AUX
fumecheng-1617	98	24	smaller	small	ADJ
fumecheng-1617	98	25	than	than	ADP
fumecheng-1617	98	26	a	a	DET
fumecheng-1617	98	27	predefined	predefine	VERB
fumecheng-1617	98	28	tolerance	tolerance	NOUN
fumecheng-1617	98	29	t	t	NOUN
fumecheng-1617	98	30	:	:	PUNCT
fumecheng-1617	98	31	taxial	taxial	ADJ
fumecheng-1617	98	32	(	(	PUNCT
fumecheng-1617	98	33	n	n	CCONJ
fumecheng-1617	98	34	)	)	PUNCT
fumecheng-1617	98	35	u	u	X
fumecheng-1617	98	36	(	(	PUNCT
fumecheng-1617	98	37	16	16	NUM
fumecheng-1617	98	38	)	)	PUNCT
fumecheng-1617	98	39	232	232	NUM
fumecheng-1617	98	40	v.	v.	ADP
fumecheng-1617	98	41	a	a	DET
fumecheng-1617	98	42	nguyen	nguyen	NOUN
fumecheng-1617	98	43	,	,	PUNCT
fumecheng-1617	98	44	m.	m.	NOUN
fumecheng-1617	98	45	zehn	zehn	PROPN
fumecheng-1617	98	46	,	,	PUNCT
fumecheng-1617	98	47	d.	d.	PROPN
fumecheng-1617	98	48	marinković	marinković	PROPN
fumecheng-1617	98	49	3	3	X
fumecheng-1617	98	50	.	.	PUNCT
fumecheng-1617	98	51	internal	internal	ADJ
fumecheng-1617	98	52	element	element	NOUN
fumecheng-1617	98	53	forces	force	NOUN
fumecheng-1617	98	54	and	and	CCONJ
fumecheng-1617	98	55	tangent	tangent	ADJ
fumecheng-1617	98	56	stiffness	stiffness	ADJ
fumecheng-1617	98	57	matrix	matrix	NOUN
fumecheng-1617	98	58	to	to	PART
fumecheng-1617	98	59	guarantee	guarantee	VERB
fumecheng-1617	98	60	the	the	DET
fumecheng-1617	98	61	quadratic	quadratic	ADJ
fumecheng-1617	98	62	convergence	convergence	NOUN
fumecheng-1617	98	63	of	of	ADP
fumecheng-1617	98	64	the	the	DET
fumecheng-1617	98	65	newton	newton	PROPN
fumecheng-1617	98	66	-	-	PUNCT
fumecheng-1617	98	67	raphson	raphson	PROPN
fumecheng-1617	98	68	method	method	NOUN
fumecheng-1617	98	69	,	,	PUNCT
fumecheng-1617	98	70	the	the	DET
fumecheng-1617	98	71	internal	internal	ADJ
fumecheng-1617	98	72	force	force	NOUN
fumecheng-1617	98	73	vector	vector	NOUN
fumecheng-1617	98	74	of	of	ADP
fumecheng-1617	98	75	each	each	DET
fumecheng-1617	98	76	element	element	NOUN
fumecheng-1617	98	77	can	can	AUX
fumecheng-1617	98	78	be	be	AUX
fumecheng-1617	98	79	formulated	formulate	VERB
fumecheng-1617	98	80	using	use	VERB
fumecheng-1617	98	81	variation	variation	NOUN
fumecheng-1617	98	82	of	of	ADP
fumecheng-1617	98	83	the	the	DET
fumecheng-1617	98	84	internal	internal	ADJ
fumecheng-1617	98	85	element	element	NOUN
fumecheng-1617	98	86	energy	energy	NOUN
fumecheng-1617	98	87	.	.	PUNCT
fumecheng-1617	99	1	on	on	ADP
fumecheng-1617	99	2	this	this	DET
fumecheng-1617	99	3	basis	basis	NOUN
fumecheng-1617	99	4	,	,	PUNCT
fumecheng-1617	99	5	the	the	DET
fumecheng-1617	99	6	tangent	tangent	NOUN
fumecheng-1617	99	7	element	element	NOUN
fumecheng-1617	99	8	stiffness	stiffness	NOUN
fumecheng-1617	99	9	matrix	matrix	NOUN
fumecheng-1617	99	10	is	be	AUX
fumecheng-1617	99	11	estimated	estimate	VERB
fumecheng-1617	99	12	by	by	ADP
fumecheng-1617	99	13	a	a	DET
fumecheng-1617	99	14	consistent	consistent	ADJ
fumecheng-1617	99	15	linearization	linearization	NOUN
fumecheng-1617	99	16	of	of	ADP
fumecheng-1617	99	17	the	the	DET
fumecheng-1617	99	18	element	element	NOUN
fumecheng-1617	99	19	force	force	NOUN
fumecheng-1617	99	20	with	with	ADP
fumecheng-1617	99	21	respect	respect	NOUN
fumecheng-1617	99	22	to	to	ADP
fumecheng-1617	99	23	the	the	DET
fumecheng-1617	99	24	global	global	ADJ
fumecheng-1617	99	25	nodal	nodal	NOUN
fumecheng-1617	99	26	displacements	displacement	NOUN
fumecheng-1617	99	27	.	.	PUNCT
fumecheng-1617	100	1	3.1	3.1	NUM
fumecheng-1617	100	2	.	.	PUNCT
fumecheng-1617	100	3	internal	internal	ADJ
fumecheng-1617	100	4	element	element	NOUN
fumecheng-1617	100	5	force	force	NOUN
fumecheng-1617	100	6	vector	vector	VERB
fumecheng-1617	100	7	the	the	DET
fumecheng-1617	100	8	incremental	incremental	ADJ
fumecheng-1617	100	9	/	/	SYM
fumecheng-1617	100	10	iterative	iterative	NOUN
fumecheng-1617	100	11	newton	newton	PROPN
fumecheng-1617	100	12	-	-	PUNCT
fumecheng-1617	100	13	raphson	raphson	NOUN
fumecheng-1617	100	14	solution	solution	NOUN
fumecheng-1617	100	15	(	(	PUNCT
fumecheng-1617	100	16	nrs	nrs	PROPN
fumecheng-1617	100	17	)	)	PUNCT
fumecheng-1617	100	18	for	for	ADP
fumecheng-1617	100	19	non	non	ADJ
fumecheng-1617	100	20	-	-	ADJ
fumecheng-1617	100	21	linear	linear	ADJ
fumecheng-1617	100	22	static	static	ADJ
fumecheng-1617	100	23	structural	structural	ADJ
fumecheng-1617	100	24	mechanical	mechanical	ADJ
fumecheng-1617	100	25	problems	problem	NOUN
fumecheng-1617	100	26	requires	require	VERB
fumecheng-1617	100	27	a	a	DET
fumecheng-1617	100	28	known	know	VERB
fumecheng-1617	100	29	solution	solution	NOUN
fumecheng-1617	100	30	at	at	ADP
fumecheng-1617	100	31	time	time	NOUN
fumecheng-1617	100	32	t	t	PROPN
fumecheng-1617	100	33	and	and	CCONJ
fumecheng-1617	100	34	estimates	estimate	VERB
fumecheng-1617	100	35	the	the	DET
fumecheng-1617	100	36	next	next	ADJ
fumecheng-1617	100	37	configuration	configuration	NOUN
fumecheng-1617	100	38	at	at	ADP
fumecheng-1617	100	39	time	time	NOUN
fumecheng-1617	100	40	t+δt	t+δt	NOUN
fumecheng-1617	100	41	using	use	VERB
fumecheng-1617	100	42	an	an	DET
fumecheng-1617	100	43	iterative	iterative	NOUN
fumecheng-1617	100	44	process	process	NOUN
fumecheng-1617	100	45	.	.	PUNCT
fumecheng-1617	101	1	the	the	DET
fumecheng-1617	101	2	equations	equation	NOUN
fumecheng-1617	101	3	for	for	ADP
fumecheng-1617	101	4	an	an	DET
fumecheng-1617	101	5	assembled	assemble	VERB
fumecheng-1617	101	6	finite	finite	ADJ
fumecheng-1617	101	7	element	element	NOUN
fumecheng-1617	101	8	structure	structure	NOUN
fumecheng-1617	101	9	in	in	ADP
fumecheng-1617	101	10	the	the	DET
fumecheng-1617	101	11	iteration	iteration	NOUN
fumecheng-1617	101	12	step	step	NOUN
fumecheng-1617	101	13	i	i	PRON
fumecheng-1617	101	14	can	can	AUX
fumecheng-1617	101	15	be	be	AUX
fumecheng-1617	101	16	written	write	VERB
fumecheng-1617	101	17	as	as	ADP
fumecheng-1617	101	18	:	:	PUNCT
fumecheng-1617	101	19	(	(	PUNCT
fumecheng-1617	101	20	i	i	NOUN
fumecheng-1617	101	21	)	)	PUNCT
fumecheng-1617	101	22	gint	gint	PROPN
fumecheng-1617	101	23	,	,	PUNCT
fumecheng-1617	101	24	δtt	δtt	PROPN
fumecheng-1617	101	25	ext	ext	NOUN
fumecheng-1617	101	26	tt1)(i	tt1)(i	PROPN
fumecheng-1617	101	27	g	g	ADP
fumecheng-1617	101	28	δtt(i	δtt(i	PROPN
fumecheng-1617	101	29	)	)	PUNCT
fumecheng-1617	101	30	g	g	NOUN
fumecheng-1617	101	31	δtt	δtt	ADJ
fumecheng-1617	101	32	ffuk	ffuk	NOUN
fumecheng-1617	101	33			NOUN
fumecheng-1617	101	34			PROPN
fumecheng-1617	101	35	1)(i	1)(i	NUM
fumecheng-1617	101	36	g	g	PROPN
fumecheng-1617	101	37	δtt(i	δtt(i	PROPN
fumecheng-1617	101	38	)	)	PUNCT
fumecheng-1617	101	39	g	g	PROPN
fumecheng-1617	101	40	δtt1)(i	δtt1)(i	PROPN
fumecheng-1617	101	41	g	g	PROPN
fumecheng-1617	101	42	δtt	δtt	ADJ
fumecheng-1617	101	43			NOUN
fumecheng-1617	101	44			PROPN
fumecheng-1617	101	45	uuu	uuu	PROPN
fumecheng-1617	101	46	,	,	PUNCT
fumecheng-1617	101	47	(	(	PUNCT
fumecheng-1617	101	48	17	17	NUM
fumecheng-1617	101	49	)	)	PUNCT
fumecheng-1617	101	50	where	where	SCONJ
fumecheng-1617	101	51	t+δt	t+δt	NOUN
fumecheng-1617	101	52	kg	kg	X
fumecheng-1617	101	53	(	(	PUNCT
fumecheng-1617	101	54	i	i	NOUN
fumecheng-1617	101	55	)	)	PUNCT
fumecheng-1617	101	56	is	be	AUX
fumecheng-1617	101	57	the	the	DET
fumecheng-1617	101	58	assembled	assemble	VERB
fumecheng-1617	101	59	global	global	ADJ
fumecheng-1617	101	60	stiffness	stiffness	NOUN
fumecheng-1617	101	61	matrix	matrix	NOUN
fumecheng-1617	101	62	,	,	PUNCT
fumecheng-1617	101	63	t+δt	t+δt	NOUN
fumecheng-1617	101	64	ug	ug	X
fumecheng-1617	101	65	(	(	PUNCT
fumecheng-1617	101	66	i	i	NOUN
fumecheng-1617	101	67	)	)	PUNCT
fumecheng-1617	101	68	and	and	CCONJ
fumecheng-1617	101	69	t+δt∆ug	t+δt∆ug	NOUN
fumecheng-1617	101	70	(	(	PUNCT
fumecheng-1617	101	71	i+1	i+1	NOUN
fumecheng-1617	101	72	)	)	PUNCT
fumecheng-1617	101	73	represent	represent	VERB
fumecheng-1617	101	74	the	the	DET
fumecheng-1617	101	75	global	global	ADJ
fumecheng-1617	101	76	and	and	CCONJ
fumecheng-1617	101	77	incremental	incremental	ADJ
fumecheng-1617	101	78	nodal	nodal	NOUN
fumecheng-1617	101	79	displacements	displacement	NOUN
fumecheng-1617	101	80	while	while	SCONJ
fumecheng-1617	101	81	t+δt	t+δt	NOUN
fumecheng-1617	101	82	fext	fext	NOUN
fumecheng-1617	101	83	and	and	CCONJ
fumecheng-1617	101	84	(	(	PUNCT
fumecheng-1617	101	85	i	i	NOUN
fumecheng-1617	101	86	)	)	PUNCT
fumecheng-1617	101	87	gint	gint	PROPN
fumecheng-1617	101	88	,	,	PUNCT
fumecheng-1617	101	89	δtt	δtt	PROPN
fumecheng-1617	101	90	f	f	PROPN
fumecheng-1617	101	91			ADV
fumecheng-1617	101	92	are	be	AUX
fumecheng-1617	101	93	the	the	DET
fumecheng-1617	101	94	global	global	ADJ
fumecheng-1617	101	95	external	external	ADJ
fumecheng-1617	101	96	and	and	CCONJ
fumecheng-1617	101	97	internal	internal	ADJ
fumecheng-1617	101	98	force	force	NOUN
fumecheng-1617	101	99	vectors	vector	NOUN
fumecheng-1617	101	100	,	,	PUNCT
fumecheng-1617	101	101	respectively	respectively	ADV
fumecheng-1617	101	102	.	.	PUNCT
fumecheng-1617	102	1	in	in	ADP
fumecheng-1617	102	2	general	general	ADJ
fumecheng-1617	102	3	,	,	PUNCT
fumecheng-1617	102	4	the	the	DET
fumecheng-1617	102	5	internal	internal	ADJ
fumecheng-1617	102	6	force	force	NOUN
fumecheng-1617	102	7	vector	vector	NOUN
fumecheng-1617	102	8	can	can	AUX
fumecheng-1617	102	9	be	be	AUX
fumecheng-1617	102	10	computed	compute	VERB
fumecheng-1617	102	11	by	by	ADP
fumecheng-1617	102	12	the	the	DET
fumecheng-1617	102	13	variation	variation	NOUN
fumecheng-1617	102	14	of	of	ADP
fumecheng-1617	102	15	the	the	DET
fumecheng-1617	102	16	internal	internal	ADJ
fumecheng-1617	102	17	element	element	NOUN
fumecheng-1617	102	18	energy	energy	NOUN
fumecheng-1617	102	19	with	with	ADP
fumecheng-1617	102	20	respect	respect	NOUN
fumecheng-1617	102	21	to	to	ADP
fumecheng-1617	102	22	global	global	ADJ
fumecheng-1617	102	23	element	element	NOUN
fumecheng-1617	102	24	displacement	displacement	NOUN
fumecheng-1617	102	25	vector	vector	NOUN
fumecheng-1617	102	26	t+δt	t+δt	NOUN
fumecheng-1617	102	27	ue	ue	PROPN
fumecheng-1617	102	28	(	(	PUNCT
fumecheng-1617	102	29	i	i	NOUN
fumecheng-1617	102	30	)	)	PUNCT
fumecheng-1617	102	31	as	as	ADP
fumecheng-1617	102	32	:	:	PUNCT
fumecheng-1617	102	33	(	(	PUNCT
fumecheng-1617	102	34	i	i	NOUN
fumecheng-1617	102	35	)	)	PUNCT
fumecheng-1617	102	36	e	e	PROPN
fumecheng-1617	102	37	tt	tt	PROPN
fumecheng-1617	102	38	(	(	PUNCT
fumecheng-1617	102	39	i	i	NOUN
fumecheng-1617	102	40	)	)	PUNCT
fumecheng-1617	102	41	inte	inte	NOUN
fumecheng-1617	102	42	,	,	PUNCT
fumecheng-1617	102	43	tt	tt	PROPN
fumecheng-1617	102	44	(	(	PUNCT
fumecheng-1617	102	45	i	i	PROPN
fumecheng-1617	102	46	)	)	PUNCT
fumecheng-1617	102	47	ge	ge	PROPN
fumecheng-1617	102	48	,	,	PUNCT
fumecheng-1617	102	49	δtt	δtt	PROPN
fumecheng-1617	102	50	w	w	PROPN
fumecheng-1617	102	51	u	u	PROPN
fumecheng-1617	102	52	f	f	PROPN
fumecheng-1617	102	53			ADP
fumecheng-1617	102	54			ADP
fumecheng-1617	102	55			ADJ
fumecheng-1617	102	56			ADJ
fumecheng-1617	102	57			PROPN
fumecheng-1617	102	58			NUM
fumecheng-1617	102	59	,	,	PUNCT
fumecheng-1617	102	60	(	(	PUNCT
fumecheng-1617	102	61	18	18	NUM
fumecheng-1617	102	62	)	)	PUNCT
fumecheng-1617	102	63	where	where	SCONJ
fumecheng-1617	102	64	t+δt	t+δt	NOUN
fumecheng-1617	102	65	ue	ue	INTJ
fumecheng-1617	102	66	(	(	PUNCT
fumecheng-1617	102	67	i	i	NOUN
fumecheng-1617	102	68	)	)	PUNCT
fumecheng-1617	102	69	is	be	AUX
fumecheng-1617	102	70	represented	represent	VERB
fumecheng-1617	102	71	as	as	ADP
fumecheng-1617	102	72	the	the	DET
fumecheng-1617	102	73	global	global	ADJ
fumecheng-1617	102	74	element	element	PROPN
fumecheng-1617	102	75	displacement	displacement	NOUN
fumecheng-1617	102	76	vector	vector	NOUN
fumecheng-1617	102	77	in	in	ADP
fumecheng-1617	102	78	the	the	DET
fumecheng-1617	102	79	form	form	NOUN
fumecheng-1617	102	80	:	:	PUNCT
fumecheng-1617	102	81	t	t	PROPN
fumecheng-1617	102	82	t	t	PROPN
fumecheng-1617	102	83	tt	tt	PROPN
fumecheng-1617	102	84	t	t	PROPN
fumecheng-1617	102	85	(	(	PUNCT
fumecheng-1617	102	86	i	i	NOUN
fumecheng-1617	102	87	)	)	PUNCT
fumecheng-1617	102	88	t	t	PROPN
fumecheng-1617	102	89	t	t	PROPN
fumecheng-1617	102	90	(	(	PUNCT
fumecheng-1617	102	91	i	i	NOUN
fumecheng-1617	102	92	)	)	PUNCT
fumecheng-1617	103	1	t	t	PROPN
fumecheng-1617	103	2	t	t	PROPN
fumecheng-1617	103	3	(	(	PUNCT
fumecheng-1617	103	4	i	i	NOUN
fumecheng-1617	103	5	)	)	PUNCT
fumecheng-1617	103	6	t	t	PROPN
fumecheng-1617	103	7	t	t	PROPN
fumecheng-1617	103	8	(	(	PUNCT
fumecheng-1617	103	9	i	i	NOUN
fumecheng-1617	103	10	)	)	PUNCT
fumecheng-1617	103	11	t	t	PROPN
fumecheng-1617	104	1	e	e	NOUN
fumecheng-1617	104	2	1	1	NUM
fumecheng-1617	104	3	2	2	NUM
fumecheng-1617	104	4	k	k	NOUN
fumecheng-1617	104	5	[	[	PUNCT
fumecheng-1617	104	6	...	...	PUNCT
fumecheng-1617	104	7	]	]	X
fumecheng-1617	104	8			PROPN
fumecheng-1617	104	9			PROPN
fumecheng-1617	104	10			PROPN
fumecheng-1617	104	11	u	u	VERB
fumecheng-1617	104	12	u	u	X
fumecheng-1617	104	13	u	u	NOUN
fumecheng-1617	104	14	u	u	PROPN
fumecheng-1617	104	15	.	.	PUNCT
fumecheng-1617	105	1	(	(	PUNCT
fumecheng-1617	105	2	19	19	NUM
fumecheng-1617	105	3	)	)	PUNCT
fumecheng-1617	105	4	it	it	PRON
fumecheng-1617	105	5	should	should	AUX
fumecheng-1617	105	6	be	be	AUX
fumecheng-1617	105	7	noted	note	VERB
fumecheng-1617	105	8	here	here	ADV
fumecheng-1617	105	9	that	that	SCONJ
fumecheng-1617	105	10	internal	internal	ADJ
fumecheng-1617	105	11	element	element	NOUN
fumecheng-1617	105	12	energy	energy	NOUN
fumecheng-1617	105	13	(	(	PUNCT
fumecheng-1617	105	14	i	i	NOUN
fumecheng-1617	105	15	)	)	PUNCT
fumecheng-1617	105	16	inte	inte	NOUN
fumecheng-1617	105	17	,	,	PUNCT
fumecheng-1617	105	18	tt	tt	PROPN
fumecheng-1617	105	19	w	w	PROPN
fumecheng-1617	105	20	is	be	AUX
fumecheng-1617	105	21	unaffected	unaffected	ADJ
fumecheng-1617	105	22	by	by	ADP
fumecheng-1617	105	23	the	the	DET
fumecheng-1617	105	24	rigid	rigid	ADJ
fumecheng-1617	105	25	-	-	PUNCT
fumecheng-1617	105	26	body	body	NOUN
fumecheng-1617	105	27	motion	motion	NOUN
fumecheng-1617	105	28	.	.	PUNCT
fumecheng-1617	106	1	in	in	ADP
fumecheng-1617	106	2	the	the	DET
fumecheng-1617	106	3	tl	tl	PROPN
fumecheng-1617	106	4	formulation	formulation	NOUN
fumecheng-1617	106	5	,	,	PUNCT
fumecheng-1617	106	6	the	the	DET
fumecheng-1617	106	7	2nd	2nd	ADJ
fumecheng-1617	106	8	piola	piola	PROPN
fumecheng-1617	106	9	-	-	PUNCT
fumecheng-1617	106	10	kirchhoff	kirchhoff	PROPN
fumecheng-1617	106	11	stress	stress	NOUN
fumecheng-1617	106	12	and	and	CCONJ
fumecheng-1617	106	13	the	the	DET
fumecheng-1617	106	14	greenlagrange	greenlagrange	NOUN
fumecheng-1617	106	15	strain	strain	NOUN
fumecheng-1617	106	16	are	be	AUX
fumecheng-1617	106	17	used	use	VERB
fumecheng-1617	106	18	to	to	PART
fumecheng-1617	106	19	compute	compute	VERB
fumecheng-1617	106	20	the	the	DET
fumecheng-1617	106	21	internal	internal	ADJ
fumecheng-1617	106	22	element	element	NOUN
fumecheng-1617	106	23	energy	energy	NOUN
fumecheng-1617	106	24	.	.	PUNCT
fumecheng-1617	107	1	because	because	SCONJ
fumecheng-1617	107	2	they	they	PRON
fumecheng-1617	107	3	are	be	AUX
fumecheng-1617	107	4	invariant	invariant	ADJ
fumecheng-1617	107	5	with	with	ADP
fumecheng-1617	107	6	respect	respect	NOUN
fumecheng-1617	107	7	to	to	ADP
fumecheng-1617	107	8	the	the	DET
fumecheng-1617	107	9	rigid	rigid	ADJ
fumecheng-1617	107	10	-	-	PUNCT
fumecheng-1617	107	11	body	body	NOUN
fumecheng-1617	107	12	rotation	rotation	NOUN
fumecheng-1617	107	13	,	,	PUNCT
fumecheng-1617	107	14	it	it	PRON
fumecheng-1617	107	15	can	can	AUX
fumecheng-1617	107	16	be	be	AUX
fumecheng-1617	107	17	written	write	VERB
fumecheng-1617	107	18	[	[	X
fumecheng-1617	107	19	10	10	NUM
fumecheng-1617	107	20	]	]	SYM
fumecheng-1617	107	21	:	:	PUNCT
fumecheng-1617	107	22	0	0	NUM
fumecheng-1617	107	23	e	e	X
fumecheng-1617	107	24	t	t	PROPN
fumecheng-1617	107	25	t	t	PROPN
fumecheng-1617	107	26	t	t	PROPN
fumecheng-1617	107	27	(	(	PUNCT
fumecheng-1617	107	28	i	i	NOUN
fumecheng-1617	107	29	)	)	PUNCT
fumecheng-1617	107	30	t	t	PROPN
fumecheng-1617	107	31	t	t	PROPN
fumecheng-1617	107	32	(	(	PUNCT
fumecheng-1617	107	33	i	i	NOUN
fumecheng-1617	107	34	)	)	PUNCT
fumecheng-1617	107	35	t	t	PROPN
fumecheng-1617	107	36	t	t	PROPN
fumecheng-1617	107	37	(	(	PUNCT
fumecheng-1617	107	38	i	i	NOUN
fumecheng-1617	107	39	)	)	PUNCT
fumecheng-1617	107	40	0	0	PUNCT
fumecheng-1617	108	1	e	e	NOUN
fumecheng-1617	108	2	,	,	PUNCT
fumecheng-1617	108	3	int	int	NOUN
fumecheng-1617	108	4	e	e	PROPN
fumecheng-1617	108	5	v	v	PROPN
fumecheng-1617	108	6	w	w	PROPN
fumecheng-1617	108	7	(	(	PUNCT
fumecheng-1617	108	8	)	)	PUNCT
fumecheng-1617	108	9	(	(	PUNCT
fumecheng-1617	108	10	)	)	PUNCT
fumecheng-1617	108	11	d	d	PRON
fumecheng-1617	108	12	v	v	NOUN
fumecheng-1617	108	13			PROPN
fumecheng-1617	108	14			VERB
fumecheng-1617	108	15			PRON
fumecheng-1617	108	16			ADJ
fumecheng-1617	108	17	e	e	X
fumecheng-1617	108	18	s	s	X
fumecheng-1617	108	19	,	,	PUNCT
fumecheng-1617	108	20	(	(	PUNCT
fumecheng-1617	108	21	20	20	NUM
fumecheng-1617	108	22	)	)	PUNCT
fumecheng-1617	108	23	where	where	SCONJ
fumecheng-1617	108	24	(	(	PUNCT
fumecheng-1617	108	25	i)tt	i)tt	NOUN
fumecheng-1617	108	26	s	s	AUX
fumecheng-1617	108	27			ADJ
fumecheng-1617	108	28	is	be	AUX
fumecheng-1617	108	29	the	the	DET
fumecheng-1617	108	30	2nd	2nd	ADJ
fumecheng-1617	108	31	piola	piola	PROPN
fumecheng-1617	108	32	-	-	PUNCT
fumecheng-1617	108	33	kirchhoff	kirchhoff	PROPN
fumecheng-1617	108	34	stress	stress	NOUN
fumecheng-1617	108	35	matrix	matrix	NOUN
fumecheng-1617	108	36	expressed	express	VERB
fumecheng-1617	108	37	in	in	ADP
fumecheng-1617	108	38	the	the	DET
fumecheng-1617	108	39	actual	actual	ADJ
fumecheng-1617	108	40	cr	cr	PROPN
fumecheng-1617	108	41	frame	frame	NOUN
fumecheng-1617	108	42	and	and	CCONJ
fumecheng-1617	108	43	d0ve	d0ve	NOUN
fumecheng-1617	108	44	is	be	AUX
fumecheng-1617	108	45	an	an	DET
fumecheng-1617	108	46	infinitesimal	infinitesimal	ADJ
fumecheng-1617	108	47	small	small	ADJ
fumecheng-1617	108	48	volume	volume	NOUN
fumecheng-1617	108	49	in	in	ADP
fumecheng-1617	108	50	the	the	DET
fumecheng-1617	108	51	initial	initial	ADJ
fumecheng-1617	108	52	element	element	NOUN
fumecheng-1617	108	53	configuration	configuration	NOUN
fumecheng-1617	108	54	.	.	PUNCT
fumecheng-1617	109	1	in	in	ADP
fumecheng-1617	109	2	addition	addition	NOUN
fumecheng-1617	109	3	,	,	PUNCT
fumecheng-1617	109	4	(	(	PUNCT
fumecheng-1617	109	5	i)tt	i)tt	PROPN
fumecheng-1617	109	6	e	e	NOUN
fumecheng-1617	109	7			ADP
fumecheng-1617	109	8	denotes	denote	NOUN
fumecheng-1617	109	9	the	the	DET
fumecheng-1617	109	10	green	green	ADJ
fumecheng-1617	109	11	-	-	PUNCT
fumecheng-1617	109	12	lagrange	lagrange	NOUN
fumecheng-1617	109	13	strain	strain	NOUN
fumecheng-1617	109	14	with	with	ADP
fumecheng-1617	109	15	respect	respect	NOUN
fumecheng-1617	109	16	to	to	ADP
fumecheng-1617	109	17	the	the	DET
fumecheng-1617	109	18	actual	actual	ADJ
fumecheng-1617	109	19	cr	cr	NOUN
fumecheng-1617	109	20	frame	frame	PROPN
fumecheng-1617	109	21	as	as	ADP
fumecheng-1617	109	22	:	:	PUNCT
fumecheng-1617	109	23	t	t	PROPN
fumecheng-1617	109	24	t	t	PROPN
fumecheng-1617	109	25	(	(	PUNCT
fumecheng-1617	109	26	i	i	NOUN
fumecheng-1617	109	27	)	)	PUNCT
fumecheng-1617	109	28	t	t	PROPN
fumecheng-1617	109	29	t	t	PROPN
fumecheng-1617	109	30	(	(	PUNCT
fumecheng-1617	109	31	i	i	NOUN
fumecheng-1617	109	32	)	)	PUNCT
fumecheng-1617	110	1	t	t	PROPN
fumecheng-1617	110	2	t	t	PROPN
fumecheng-1617	110	3	(	(	PUNCT
fumecheng-1617	110	4	i	i	NOUN
fumecheng-1617	110	5	)	)	PUNCT
fumecheng-1617	110	6	t	t	PROPN
fumecheng-1617	110	7	t	t	PROPN
fumecheng-1617	110	8	(	(	PUNCT
fumecheng-1617	110	9	i	i	NOUN
fumecheng-1617	110	10	)	)	PUNCT
fumecheng-1617	111	1	l	l	NOUN
fumecheng-1617	111	2	nl	nl	NOUN
fumecheng-1617	111	3	e	e	NOUN
fumecheng-1617	111	4	{	{	PUNCT
fumecheng-1617	111	5	}	}	PUNCT
fumecheng-1617	111	6			PROPN
fumecheng-1617	111	7			PROPN
fumecheng-1617	111	8			PROPN
fumecheng-1617	111	9			VERB
fumecheng-1617	111	10			PROPN
fumecheng-1617	111	11			ADJ
fumecheng-1617	111	12	e	e	PROPN
fumecheng-1617	111	13	b	b	PROPN
fumecheng-1617	111	14	b	b	PROPN
fumecheng-1617	111	15	u	u	PROPN
fumecheng-1617	111	16	,	,	PUNCT
fumecheng-1617	111	17	(	(	PUNCT
fumecheng-1617	111	18	21	21	NUM
fumecheng-1617	111	19	)	)	PUNCT
fumecheng-1617	111	20	where	where	SCONJ
fumecheng-1617	111	21	(	(	PUNCT
fumecheng-1617	111	22	i	i	NOUN
fumecheng-1617	111	23	)	)	PUNCT
fumecheng-1617	111	24	nl	nl	PROPN
fumecheng-1617	111	25	tt	tt	PROPN
fumecheng-1617	111	26	b	b	PROPN
fumecheng-1617	111	27			PROPN
fumecheng-1617	111	28	is	be	AUX
fumecheng-1617	111	29	the	the	DET
fumecheng-1617	111	30	non	non	ADJ
fumecheng-1617	111	31	-	-	ADJ
fumecheng-1617	111	32	linear	linear	ADJ
fumecheng-1617	111	33	strain	strain	NOUN
fumecheng-1617	111	34	-	-	PUNCT
fumecheng-1617	111	35	displacement	displacement	NOUN
fumecheng-1617	111	36	matrix	matrix	NOUN
fumecheng-1617	111	37	and	and	CCONJ
fumecheng-1617	111	38	is	be	AUX
fumecheng-1617	111	39	used	use	VERB
fumecheng-1617	111	40	to	to	PART
fumecheng-1617	111	41	describe	describe	VERB
fumecheng-1617	111	42	large	large	ADJ
fumecheng-1617	111	43	strain	strain	NOUN
fumecheng-1617	111	44	problems	problem	NOUN
fumecheng-1617	111	45	[	[	X
fumecheng-1617	111	46	11	11	NUM
fumecheng-1617	111	47	]	]	PUNCT
fumecheng-1617	111	48	.	.	PUNCT
fumecheng-1617	112	1	matrix	matrix	NOUN
fumecheng-1617	112	2	(	(	PUNCT
fumecheng-1617	112	3	i	i	NOUN
fumecheng-1617	112	4	)	)	PUNCT
fumecheng-1617	112	5	l	l	PROPN
fumecheng-1617	113	1	tt	tt	PROPN
fumecheng-1617	113	2	b	b	PROPN
fumecheng-1617	113	3			NOUN
fumecheng-1617	113	4	can	can	AUX
fumecheng-1617	113	5	be	be	AUX
fumecheng-1617	113	6	decomposed	decompose	VERB
fumecheng-1617	113	7	in	in	ADP
fumecheng-1617	113	8	two	two	NUM
fumecheng-1617	113	9	parts	part	NOUN
fumecheng-1617	113	10	:	:	PUNCT
fumecheng-1617	113	11	an	an	DET
fumecheng-1617	113	12	efficient	efficient	ADJ
fumecheng-1617	113	13	co	co	ADJ
fumecheng-1617	113	14	-	-	ADJ
fumecheng-1617	113	15	rotational	rotational	ADJ
fumecheng-1617	113	16	fem	fem	NOUN
fumecheng-1617	113	17	formulation	formulation	NOUN
fumecheng-1617	113	18	using	use	VERB
fumecheng-1617	113	19	a	a	DET
fumecheng-1617	113	20	projector	projector	NOUN
fumecheng-1617	113	21	matrix	matrix	NOUN
fumecheng-1617	113	22	233	233	NUM
fumecheng-1617	113	23	(	(	PUNCT
fumecheng-1617	113	24	i	i	NOUN
fumecheng-1617	113	25	)	)	PUNCT
fumecheng-1617	113	26	l1	l1	PROPN
fumecheng-1617	113	27	tt	tt	PROPN
fumecheng-1617	113	28	l0	l0	PROPN
fumecheng-1617	113	29	(	(	PUNCT
fumecheng-1617	113	30	i	i	NOUN
fumecheng-1617	113	31	)	)	PUNCT
fumecheng-1617	113	32	l	l	PROPN
fumecheng-1617	113	33	tt	tt	PROPN
fumecheng-1617	113	34	bbb	bbb	PROPN
fumecheng-1617	113	35			PROPN
fumecheng-1617	113	36			ADV
fumecheng-1617	113	37	,	,	PUNCT
fumecheng-1617	113	38	(	(	PUNCT
fumecheng-1617	113	39	22	22	NUM
fumecheng-1617	113	40	)	)	PUNCT
fumecheng-1617	113	41	where	where	SCONJ
fumecheng-1617	113	42	l0b	l0b	ADJ
fumecheng-1617	113	43	only	only	ADV
fumecheng-1617	113	44	depends	depend	VERB
fumecheng-1617	113	45	on	on	ADP
fumecheng-1617	113	46	the	the	DET
fumecheng-1617	113	47	derivatives	derivative	NOUN
fumecheng-1617	113	48	of	of	ADP
fumecheng-1617	113	49	the	the	DET
fumecheng-1617	113	50	interpolation	interpolation	NOUN
fumecheng-1617	113	51	functions	function	NOUN
fumecheng-1617	113	52	with	with	ADP
fumecheng-1617	113	53	respect	respect	NOUN
fumecheng-1617	113	54	to	to	ADP
fumecheng-1617	113	55	the	the	DET
fumecheng-1617	113	56	natural	natural	ADJ
fumecheng-1617	113	57	coordinates	coordinate	NOUN
fumecheng-1617	113	58	in	in	ADP
fumecheng-1617	113	59	the	the	DET
fumecheng-1617	113	60	initial	initial	ADJ
fumecheng-1617	113	61	cr	cr	NOUN
fumecheng-1617	113	62	system	system	NOUN
fumecheng-1617	113	63	and	and	CCONJ
fumecheng-1617	113	64	,	,	PUNCT
fumecheng-1617	113	65	hence	hence	ADV
fumecheng-1617	113	66	,	,	PUNCT
fumecheng-1617	113	67	is	be	AUX
fumecheng-1617	113	68	constant	constant	ADJ
fumecheng-1617	113	69	.	.	PUNCT
fumecheng-1617	114	1	on	on	ADP
fumecheng-1617	114	2	the	the	DET
fumecheng-1617	114	3	other	other	ADJ
fumecheng-1617	114	4	hand	hand	NOUN
fumecheng-1617	114	5	,	,	PUNCT
fumecheng-1617	114	6	(	(	PUNCT
fumecheng-1617	114	7	i	i	NOUN
fumecheng-1617	114	8	)	)	PUNCT
fumecheng-1617	114	9	l1	l1	PROPN
fumecheng-1617	114	10	tt	tt	PROPN
fumecheng-1617	114	11	b	b	PROPN
fumecheng-1617	114	12			PROPN
fumecheng-1617	114	13	is	be	AUX
fumecheng-1617	114	14	estimated	estimate	VERB
fumecheng-1617	114	15	using	use	VERB
fumecheng-1617	114	16	the	the	DET
fumecheng-1617	114	17	local	local	ADJ
fumecheng-1617	114	18	nodal	nodal	NOUN
fumecheng-1617	114	19	displacements	displacement	NOUN
fumecheng-1617	114	20	from	from	ADP
fumecheng-1617	114	21	the	the	DET
fumecheng-1617	114	22	previous	previous	ADJ
fumecheng-1617	114	23	iteration	iteration	NOUN
fumecheng-1617	114	24	step	step	NOUN
fumecheng-1617	114	25	[	[	X
fumecheng-1617	114	26	11	11	NUM
fumecheng-1617	114	27	]	]	PUNCT
fumecheng-1617	114	28	.	.	PUNCT
fumecheng-1617	115	1	in	in	ADP
fumecheng-1617	115	2	this	this	DET
fumecheng-1617	115	3	paper	paper	NOUN
fumecheng-1617	115	4	,	,	PUNCT
fumecheng-1617	115	5	only	only	ADV
fumecheng-1617	115	6	small	small	ADJ
fumecheng-1617	115	7	elastic	elastic	ADJ
fumecheng-1617	115	8	strains	strain	NOUN
fumecheng-1617	115	9	are	be	AUX
fumecheng-1617	115	10	considered	consider	VERB
fumecheng-1617	115	11	and	and	CCONJ
fumecheng-1617	115	12	hence	hence	ADV
fumecheng-1617	115	13	,	,	PUNCT
fumecheng-1617	115	14	(	(	PUNCT
fumecheng-1617	115	15	i	i	NOUN
fumecheng-1617	115	16	)	)	PUNCT
fumecheng-1617	115	17	l1	l1	PROPN
fumecheng-1617	115	18	tt	tt	PROPN
fumecheng-1617	116	1	b	b	PROPN
fumecheng-1617	116	2			ADP
fumecheng-1617	117	1	and	and	CCONJ
fumecheng-1617	117	2	(	(	PUNCT
fumecheng-1617	117	3	i	i	NOUN
fumecheng-1617	117	4	)	)	PUNCT
fumecheng-1617	117	5	nl	nl	PROPN
fumecheng-1617	117	6	tt	tt	PROPN
fumecheng-1617	117	7	b	b	PROPN
fumecheng-1617	117	8			NOUN
fumecheng-1617	117	9	can	can	AUX
fumecheng-1617	117	10	be	be	AUX
fumecheng-1617	117	11	neglected	neglect	VERB
fumecheng-1617	117	12	.	.	PUNCT
fumecheng-1617	118	1	in	in	ADP
fumecheng-1617	118	2	case	case	NOUN
fumecheng-1617	118	3	of	of	ADP
fumecheng-1617	118	4	small	small	ADJ
fumecheng-1617	118	5	strains	strain	NOUN
fumecheng-1617	118	6	,	,	PUNCT
fumecheng-1617	118	7	the	the	DET
fumecheng-1617	118	8	2nd	2nd	ADJ
fumecheng-1617	118	9	piola	piola	PROPN
fumecheng-1617	118	10	-	-	PUNCT
fumecheng-1617	118	11	kirchhoff	kirchhoff	PROPN
fumecheng-1617	118	12	stress	stress	NOUN
fumecheng-1617	118	13	components	component	NOUN
fumecheng-1617	118	14	are	be	AUX
fumecheng-1617	118	15	equal	equal	ADJ
fumecheng-1617	118	16	to	to	ADP
fumecheng-1617	118	17	the	the	DET
fumecheng-1617	118	18	cauchy	cauchy	PROPN
fumecheng-1617	118	19	stress	stress	NOUN
fumecheng-1617	118	20	components	component	NOUN
fumecheng-1617	118	21	expressed	express	VERB
fumecheng-1617	118	22	in	in	ADP
fumecheng-1617	118	23	the	the	DET
fumecheng-1617	118	24	cr	cr	PROPN
fumecheng-1617	118	25	element	element	PROPN
fumecheng-1617	118	26	frame	frame	NOUN
fumecheng-1617	118	27	:	:	PUNCT
fumecheng-1617	118	28	(	(	PUNCT
fumecheng-1617	118	29	i)tt(i)tt	i)tt(i)tt	PROPN
fumecheng-1617	118	30	σs	σs	ADP
fumecheng-1617	118	31			PROPN
fumecheng-1617	118	32			X
fumecheng-1617	118	33	[	[	X
fumecheng-1617	118	34	11	11	NUM
fumecheng-1617	118	35	]	]	PUNCT
fumecheng-1617	118	36	.	.	PUNCT
fumecheng-1617	119	1	hence	hence	ADV
fumecheng-1617	119	2	,	,	PUNCT
fumecheng-1617	119	3	the	the	DET
fumecheng-1617	119	4	global	global	ADJ
fumecheng-1617	119	5	internal	internal	ADJ
fumecheng-1617	119	6	element	element	NOUN
fumecheng-1617	119	7	forces	force	NOUN
fumecheng-1617	119	8	,	,	PUNCT
fumecheng-1617	119	9	eq	eq	NOUN
fumecheng-1617	119	10	.	.	PUNCT
fumecheng-1617	119	11	(	(	PUNCT
fumecheng-1617	119	12	18	18	NUM
fumecheng-1617	119	13	)	)	PUNCT
fumecheng-1617	119	14	,	,	PUNCT
fumecheng-1617	119	15	can	can	AUX
fumecheng-1617	119	16	be	be	AUX
fumecheng-1617	119	17	rewritten	rewrite	VERB
fumecheng-1617	119	18	as	as	ADP
fumecheng-1617	119	19	:	:	PUNCT
fumecheng-1617	119	20	e	e	X
fumecheng-1617	119	21	0(i)tt	0(i)tt	PROPN
fumecheng-1617	119	22	v	v	ADP
fumecheng-1617	119	23	t	t	X
fumecheng-1617	119	24	l0t(i	l0t(i	PROPN
fumecheng-1617	119	25	)	)	PUNCT
fumecheng-1617	120	1	e	e	X
fumecheng-1617	120	2	tt	tt	PROPN
fumecheng-1617	120	3	t(i	t(i	PROPN
fumecheng-1617	120	4	)	)	PUNCT
fumecheng-1617	121	1	e	e	X
fumecheng-1617	121	2	tt	tt	PROPN
fumecheng-1617	121	3	(	(	PUNCT
fumecheng-1617	121	4	i	i	NOUN
fumecheng-1617	121	5	)	)	PUNCT
fumecheng-1617	121	6	inte	inte	NOUN
fumecheng-1617	121	7	,	,	PUNCT
fumecheng-1617	121	8	δtt	δtt	ADJ
fumecheng-1617	121	9	vd	vd	X
fumecheng-1617	121	10	e	e	X
fumecheng-1617	121	11	0	0	PROPN
fumecheng-1617	121	12	σb	σb	ADP
fumecheng-1617	121	13	u	u	PROPN
fumecheng-1617	121	14	u	u	NOUN
fumecheng-1617	121	15	f	f	PROPN
fumecheng-1617	121	16			NOUN
fumecheng-1617	121	17			ADP
fumecheng-1617	121	18			ADP
fumecheng-1617	121	19			PROPN
fumecheng-1617	121	20			PUNCT
fumecheng-1617	121	21			PROPN
fumecheng-1617	121	22			PROPN
fumecheng-1617	121	23			NUM
fumecheng-1617	121	24	.	.	PUNCT
fumecheng-1617	122	1	(	(	PUNCT
fumecheng-1617	122	2	23	23	NUM
fumecheng-1617	122	3	)	)	PUNCT
fumecheng-1617	122	4	the	the	DET
fumecheng-1617	122	5	derivative	derivative	NOUN
fumecheng-1617	122	6	in	in	ADP
fumecheng-1617	122	7	front	front	NOUN
fumecheng-1617	122	8	of	of	ADP
fumecheng-1617	122	9	the	the	DET
fumecheng-1617	122	10	integral	integral	NOUN
fumecheng-1617	122	11	in	in	ADP
fumecheng-1617	122	12	eq	eq	ADP
fumecheng-1617	122	13	.	.	PUNCT
fumecheng-1617	123	1	(	(	PUNCT
fumecheng-1617	123	2	23	23	NUM
fumecheng-1617	123	3	)	)	PUNCT
fumecheng-1617	123	4	describes	describe	VERB
fumecheng-1617	123	5	the	the	DET
fumecheng-1617	123	6	change	change	NOUN
fumecheng-1617	123	7	of	of	ADP
fumecheng-1617	123	8	the	the	DET
fumecheng-1617	123	9	approximate	approximate	ADJ
fumecheng-1617	123	10	rotation	rotation	NOUN
fumecheng-1617	123	11	-	-	PUNCT
fumecheng-1617	123	12	free	free	ADJ
fumecheng-1617	123	13	element	element	NOUN
fumecheng-1617	123	14	displacement	displacement	NOUN
fumecheng-1617	123	15	vector	vector	NOUN
fumecheng-1617	123	16	with	with	ADP
fumecheng-1617	123	17	respect	respect	NOUN
fumecheng-1617	123	18	to	to	ADP
fumecheng-1617	123	19	the	the	DET
fumecheng-1617	123	20	global	global	ADJ
fumecheng-1617	123	21	nodal	nodal	NOUN
fumecheng-1617	123	22	displacements	displacement	NOUN
fumecheng-1617	123	23	and	and	CCONJ
fumecheng-1617	123	24	is	be	AUX
fumecheng-1617	123	25	introduced	introduce	VERB
fumecheng-1617	123	26	as	as	ADP
fumecheng-1617	123	27	a	a	DET
fumecheng-1617	123	28	non	non	ADJ
fumecheng-1617	123	29	-	-	ADJ
fumecheng-1617	123	30	linear	linear	ADJ
fumecheng-1617	123	31	projector	projector	NOUN
fumecheng-1617	123	32	matrix	matrix	NOUN
fumecheng-1617	123	33	into	into	ADP
fumecheng-1617	123	34	the	the	DET
fumecheng-1617	123	35	global	global	ADJ
fumecheng-1617	123	36	system	system	NOUN
fumecheng-1617	123	37	.	.	PUNCT
fumecheng-1617	124	1	detailed	detailed	ADJ
fumecheng-1617	124	2	discussions	discussion	NOUN
fumecheng-1617	124	3	about	about	ADP
fumecheng-1617	124	4	the	the	DET
fumecheng-1617	124	5	roles	role	NOUN
fumecheng-1617	124	6	and	and	CCONJ
fumecheng-1617	124	7	derivation	derivation	NOUN
fumecheng-1617	124	8	of	of	ADP
fumecheng-1617	124	9	the	the	DET
fumecheng-1617	124	10	projector	projector	NOUN
fumecheng-1617	124	11	matrix	matrix	NOUN
fumecheng-1617	124	12	can	can	AUX
fumecheng-1617	124	13	be	be	AUX
fumecheng-1617	124	14	found	find	VERB
fumecheng-1617	124	15	in	in	ADP
fumecheng-1617	124	16	[	[	X
fumecheng-1617	124	17	1	1	NUM
fumecheng-1617	124	18	,	,	PUNCT
fumecheng-1617	124	19	4	4	NUM
fumecheng-1617	124	20	,	,	PUNCT
fumecheng-1617	124	21	13	13	NUM
fumecheng-1617	124	22	]	]	PUNCT
fumecheng-1617	124	23	.	.	PUNCT
fumecheng-1617	125	1	finally	finally	ADV
fumecheng-1617	125	2	,	,	PUNCT
fumecheng-1617	125	3	the	the	DET
fumecheng-1617	125	4	projector	projector	NOUN
fumecheng-1617	125	5	matrix	matrix	NOUN
fumecheng-1617	125	6	,	,	PUNCT
fumecheng-1617	125	7	expressed	express	VERB
fumecheng-1617	125	8	in	in	ADP
fumecheng-1617	125	9	the	the	DET
fumecheng-1617	125	10	co	co	ADJ
fumecheng-1617	125	11	-	-	ADJ
fumecheng-1617	125	12	rotational	rotational	ADJ
fumecheng-1617	125	13	frame	frame	NOUN
fumecheng-1617	125	14	,	,	PUNCT
fumecheng-1617	125	15	is	be	AUX
fumecheng-1617	125	16	given	give	VERB
fumecheng-1617	125	17	as	as	ADP
fumecheng-1617	125	18	:	:	PUNCT
fumecheng-1617	125	19	t(i)tt(i	t(i)tt(i	NUM
fumecheng-1617	125	20	)	)	PUNCT
fumecheng-1617	125	21	s	s	VERB
fumecheng-1617	125	22	tt(i)tt	tt(i)tt	ADJ
fumecheng-1617	125	23			PROPN
fumecheng-1617	125	24			NUM
fumecheng-1617	125	25			ADJ
fumecheng-1617	125	26	ppip	ppip	NOUN
fumecheng-1617	125	27	,	,	PUNCT
fumecheng-1617	125	28	(	(	PUNCT
fumecheng-1617	125	29	24	24	NUM
fumecheng-1617	125	30	)	)	PUNCT
fumecheng-1617	125	31	where	where	SCONJ
fumecheng-1617	125	32	i	i	PRON
fumecheng-1617	125	33	is	be	AUX
fumecheng-1617	125	34	the	the	DET
fumecheng-1617	125	35	3k×3k	3k×3k	NUM
fumecheng-1617	125	36	identity	identity	NOUN
fumecheng-1617	125	37	matrix	matrix	NOUN
fumecheng-1617	125	38	and	and	CCONJ
fumecheng-1617	125	39	(	(	PUNCT
fumecheng-1617	125	40	i	i	NOUN
fumecheng-1617	125	41	)	)	PUNCT
fumecheng-1617	125	42	s	s	AUX
fumecheng-1617	125	43	tt	tt	PROPN
fumecheng-1617	125	44	p	p	NOUN
fumecheng-1617	125	45			ADP
fumecheng-1617	125	46	is	be	AUX
fumecheng-1617	125	47	the	the	DET
fumecheng-1617	125	48	lever	lever	ADJ
fumecheng-1617	125	49	-	-	PUNCT
fumecheng-1617	125	50	arm	arm	NOUN
fumecheng-1617	125	51	matrix	matrix	NOUN
fumecheng-1617	125	52	of	of	ADP
fumecheng-1617	125	53	the	the	DET
fumecheng-1617	125	54	dimension	dimension	NOUN
fumecheng-1617	125	55	3k×3	3k×3	NUM
fumecheng-1617	125	56	:	:	PUNCT
fumecheng-1617	125	57	t	t	PROPN
fumecheng-1617	125	58	t	t	PROPN
fumecheng-1617	125	59	(	(	PUNCT
fumecheng-1617	125	60	i	i	NOUN
fumecheng-1617	125	61	)	)	PUNCT
fumecheng-1617	125	62	t	t	PROPN
fumecheng-1617	125	63	δt	δt	X
fumecheng-1617	125	64	(	(	PUNCT
fumecheng-1617	125	65	i	i	NOUN
fumecheng-1617	125	66	)	)	PUNCT
fumecheng-1617	126	1	t	t	PROPN
fumecheng-1617	126	2	δt	δt	X
fumecheng-1617	126	3	(	(	PUNCT
fumecheng-1617	126	4	i	i	NOUN
fumecheng-1617	126	5	)	)	PUNCT
fumecheng-1617	126	6	t	t	PROPN
fumecheng-1617	126	7	δt	δt	X
fumecheng-1617	126	8	(	(	PUNCT
fumecheng-1617	126	9	i	i	NOUN
fumecheng-1617	126	10	)	)	PUNCT
fumecheng-1617	126	11	t	t	PROPN
fumecheng-1617	126	12	s	s	PART
fumecheng-1617	126	13	1	1	NUM
fumecheng-1617	126	14	2	2	NUM
fumecheng-1617	126	15	k[spin	k[spin	NOUN
fumecheng-1617	126	16	(	(	PUNCT
fumecheng-1617	126	17	)	)	PUNCT
fumecheng-1617	126	18	spin	spin	NOUN
fumecheng-1617	126	19	(	(	PUNCT
fumecheng-1617	126	20	)	)	PUNCT
fumecheng-1617	126	21	...	...	PUNCT
fumecheng-1617	127	1	spin	spin	NOUN
fumecheng-1617	127	2	(	(	PUNCT
fumecheng-1617	127	3	)	)	PUNCT
fumecheng-1617	127	4	]	]	PUNCT
fumecheng-1617	127	5			PROPN
fumecheng-1617	127	6			ADV
fumecheng-1617	127	7			PUNCT
fumecheng-1617	127	8	p	p	ADV
fumecheng-1617	127	9	x	x	X
fumecheng-1617	127	10	x	x	SYM
fumecheng-1617	127	11	x	x	X
fumecheng-1617	127	12	(	(	PUNCT
fumecheng-1617	127	13	25	25	NUM
fumecheng-1617	127	14	)	)	PUNCT
fumecheng-1617	127	15	and	and	CCONJ
fumecheng-1617	127	16	(	(	PUNCT
fumecheng-1617	127	17	i)tt	i)tt	PROPN
fumecheng-1617	127	18			PROPN
fumecheng-1617	127	19			ADP
fumecheng-1617	127	20	p	p	NOUN
fumecheng-1617	127	21	represents	represent	VERB
fumecheng-1617	127	22	the	the	DET
fumecheng-1617	127	23	non	non	ADJ
fumecheng-1617	127	24	-	-	ADJ
fumecheng-1617	127	25	linear	linear	ADJ
fumecheng-1617	127	26	rotation	rotation	NOUN
fumecheng-1617	127	27	-	-	PUNCT
fumecheng-1617	127	28	projector	projector	NOUN
fumecheng-1617	127	29	matrix	matrix	NOUN
fumecheng-1617	127	30	of	of	ADP
fumecheng-1617	127	31	the	the	DET
fumecheng-1617	127	32	dimension	dimension	NOUN
fumecheng-1617	127	33	3×3k	3×3k	NUM
fumecheng-1617	127	34	,	,	PUNCT
fumecheng-1617	127	35	which	which	PRON
fumecheng-1617	127	36	allows	allow	VERB
fumecheng-1617	127	37	to	to	PART
fumecheng-1617	127	38	find	find	VERB
fumecheng-1617	127	39	the	the	DET
fumecheng-1617	127	40	best	well	ADV
fumecheng-1617	127	41	-	-	PUNCT
fumecheng-1617	127	42	fit	fit	ADJ
fumecheng-1617	127	43	co	co	ADJ
fumecheng-1617	127	44	-	-	ADJ
fumecheng-1617	127	45	rotational	rotational	ADJ
fumecheng-1617	127	46	element	element	NOUN
fumecheng-1617	127	47	configuration	configuration	NOUN
fumecheng-1617	127	48	as	as	ADP
fumecheng-1617	127	49	[	[	X
fumecheng-1617	127	50	1	1	NUM
fumecheng-1617	127	51	]	]	PUNCT
fumecheng-1617	127	52	:	:	PUNCT
fumecheng-1617	127	53			PROPN
fumecheng-1617	127	54			PROPN
fumecheng-1617	127	55			NOUN
fumecheng-1617	127	56			NOUN
fumecheng-1617	127	57			PROPN
fumecheng-1617	127	58			PROPN
fumecheng-1617	128	1			PROPN
fumecheng-1617	128	2			NOUN
fumecheng-1617	128	3			PROPN
fumecheng-1617	128	4			NUM
fumecheng-1617	128	5			PROPN
fumecheng-1617	128	6			NUM
fumecheng-1617	128	7			PROPN
fumecheng-1617	128	8			NOUN
fumecheng-1617	128	9			PRON
fumecheng-1617	128	10			ADP
fumecheng-1617	128	11			ADP
fumecheng-1617	128	12			ADP
fumecheng-1617	128	13			ADP
fumecheng-1617	128	14			ADP
fumecheng-1617	128	15			ADP
fumecheng-1617	128	16			PROPN
fumecheng-1617	128	17			ADP
fumecheng-1617	128	18	(	(	PUNCT
fumecheng-1617	128	19	i	i	NOUN
fumecheng-1617	128	20	)	)	PUNCT
fumecheng-1617	129	1	k	k	PROPN
fumecheng-1617	129	2	tt	tt	PROPN
fumecheng-1617	129	3	(	(	PUNCT
fumecheng-1617	129	4	i)tt	i)tt	PROPN
fumecheng-1617	129	5	(	(	PUNCT
fumecheng-1617	129	6	i	i	NOUN
fumecheng-1617	129	7	)	)	PUNCT
fumecheng-1617	129	8	2	2	NUM
fumecheng-1617	129	9	tt	tt	PROPN
fumecheng-1617	129	10	(	(	PUNCT
fumecheng-1617	129	11	i)tt	i)tt	PROPN
fumecheng-1617	129	12	(	(	PUNCT
fumecheng-1617	129	13	i	i	NOUN
fumecheng-1617	129	14	)	)	PUNCT
fumecheng-1617	129	15	1	1	NUM
fumecheng-1617	129	16	tt	tt	PROPN
fumecheng-1617	129	17	(	(	PUNCT
fumecheng-1617	129	18	i)tt	i)tt	PROPN
fumecheng-1617	129	19	t(i)tt	t(i)tt	NUM
fumecheng-1617	129	20	...	...	PUNCT
fumecheng-1617	129	21	uuu	uuu	PROPN
fumecheng-1617	129	22	p	p	PROPN
fumecheng-1617	129	23	.	.	PUNCT
fumecheng-1617	130	1	(	(	PUNCT
fumecheng-1617	130	2	26	26	NUM
fumecheng-1617	130	3	)	)	PUNCT
fumecheng-1617	130	4	it	it	PRON
fumecheng-1617	130	5	can	can	AUX
fumecheng-1617	130	6	be	be	AUX
fumecheng-1617	130	7	rewritten	rewrite	VERB
fumecheng-1617	130	8	as	as	ADP
fumecheng-1617	130	9	:	:	PUNCT
fumecheng-1617	130	10	s	s	X
fumecheng-1617	130	11	0	0	NUM
fumecheng-1617	130	12	-	-	SYM
fumecheng-1617	130	13	1(i)ttt(i)tt	1(i)ttt(i)tt	NUM
fumecheng-1617	130	14	gup	gup	NOUN
fumecheng-1617	130	15			PROPN
fumecheng-1617	130	16			ADP
fumecheng-1617	130	17			PROPN
fumecheng-1617	130	18			ADP
fumecheng-1617	130	19			PROPN
fumecheng-1617	130	20	(	(	PUNCT
fumecheng-1617	130	21	27	27	NUM
fumecheng-1617	130	22	)	)	PUNCT
fumecheng-1617	130	23	with	with	ADP
fumecheng-1617	130	24	the	the	DET
fumecheng-1617	130	25	3×3	3×3	NUM
fumecheng-1617	130	26	matrix	matrix	NOUN
fumecheng-1617	130	27	:	:	PUNCT
fumecheng-1617	130	28	k	k	PROPN
fumecheng-1617	130	29	t	t	PROPN
fumecheng-1617	130	30	t	t	PROPN
fumecheng-1617	130	31	(	(	PUNCT
fumecheng-1617	130	32	i	i	NOUN
fumecheng-1617	130	33	)	)	PUNCT
fumecheng-1617	130	34	0	0	NUM
fumecheng-1617	131	1	t	t	PROPN
fumecheng-1617	131	2	t	t	X
fumecheng-1617	131	3	δt	δt	X
fumecheng-1617	131	4	(	(	PUNCT
fumecheng-1617	131	5	i	i	NOUN
fumecheng-1617	131	6	)	)	PUNCT
fumecheng-1617	131	7	t	t	PROPN
fumecheng-1617	131	8	δt	δt	X
fumecheng-1617	131	9	(	(	PUNCT
fumecheng-1617	131	10	i	i	NOUN
fumecheng-1617	131	11	)	)	PUNCT
fumecheng-1617	131	12	0	0	PUNCT
fumecheng-1617	132	1	t	t	PROPN
fumecheng-1617	132	2	j	j	PROPN
fumecheng-1617	133	1	j	j	PROPN
fumecheng-1617	133	2	j	j	PROPN
fumecheng-1617	133	3	j	j	PROPN
fumecheng-1617	133	4	j	j	PROPN
fumecheng-1617	133	5	1	1	NUM
fumecheng-1617	133	6	{	{	PUNCT
fumecheng-1617	133	7	(	(	PUNCT
fumecheng-1617	133	8	)	)	PUNCT
fumecheng-1617	133	9	(	(	PUNCT
fumecheng-1617	133	10	)	)	PUNCT
fumecheng-1617	133	11	}	}	PUNCT
fumecheng-1617	133	12			PROPN
fumecheng-1617	133	13			ADV
fumecheng-1617	133	14			VERB
fumecheng-1617	133	15			PROPN
fumecheng-1617	133	16			PROPN
fumecheng-1617	133	17			PROPN
fumecheng-1617	133	18	u	u	NOUN
fumecheng-1617	134	1	i	i	PRON
fumecheng-1617	134	2	v	v	VERB
fumecheng-1617	134	3	x	x	SYM
fumecheng-1617	134	4	x	x	SYM
fumecheng-1617	134	5	v	v	X
fumecheng-1617	134	6	(	(	PUNCT
fumecheng-1617	134	7	28	28	NUM
fumecheng-1617	134	8	)	)	PUNCT
fumecheng-1617	134	9	and	and	CCONJ
fumecheng-1617	134	10	the	the	DET
fumecheng-1617	134	11	constant	constant	ADJ
fumecheng-1617	134	12	3×3k	3×3k	NUM
fumecheng-1617	134	13	matrix	matrix	NOUN
fumecheng-1617	134	14	:	:	PUNCT
fumecheng-1617	134	15	0	0	NUM
fumecheng-1617	134	16	0	0	NUM
fumecheng-1617	134	17	0	0	NUM
fumecheng-1617	134	18	0	0	NUM
fumecheng-1617	134	19	s	s	NOUN
fumecheng-1617	134	20	1	1	NUM
fumecheng-1617	134	21	2	2	NUM
fumecheng-1617	134	22	k[spin	k[spin	NOUN
fumecheng-1617	134	23	(	(	PUNCT
fumecheng-1617	134	24	)	)	PUNCT
fumecheng-1617	134	25	spin	spin	NOUN
fumecheng-1617	134	26	(	(	PUNCT
fumecheng-1617	134	27	)	)	PUNCT
fumecheng-1617	134	28	...	...	PUNCT
fumecheng-1617	135	1	spin	spin	NOUN
fumecheng-1617	135	2	(	(	PUNCT
fumecheng-1617	135	3	)	)	PUNCT
fumecheng-1617	135	4	]	]	X
fumecheng-1617	135	5	g	g	NOUN
fumecheng-1617	135	6	v	v	ADP
fumecheng-1617	135	7	v	v	NOUN
fumecheng-1617	135	8	v	v	NOUN
fumecheng-1617	135	9	.	.	PUNCT
fumecheng-1617	136	1	(	(	PUNCT
fumecheng-1617	136	2	29	29	NUM
fumecheng-1617	136	3	)	)	PUNCT
fumecheng-1617	136	4	234	234	NUM
fumecheng-1617	136	5	v.	v.	ADP
fumecheng-1617	136	6	a	a	DET
fumecheng-1617	136	7	nguyen	nguyen	NOUN
fumecheng-1617	136	8	,	,	PUNCT
fumecheng-1617	136	9	m.	m.	NOUN
fumecheng-1617	136	10	zehn	zehn	PROPN
fumecheng-1617	136	11	,	,	PUNCT
fumecheng-1617	136	12	d.	d.	PROPN
fumecheng-1617	136	13	marinković	marinković	PROPN
fumecheng-1617	136	14	in	in	ADP
fumecheng-1617	136	15	the	the	DET
fumecheng-1617	136	16	case	case	NOUN
fumecheng-1617	136	17	of	of	ADP
fumecheng-1617	136	18	linear	linear	ADJ
fumecheng-1617	136	19	elastic	elastic	ADJ
fumecheng-1617	136	20	materials	material	NOUN
fumecheng-1617	136	21	,	,	PUNCT
fumecheng-1617	136	22	the	the	DET
fumecheng-1617	136	23	co	co	ADJ
fumecheng-1617	136	24	-	-	ADJ
fumecheng-1617	136	25	rotational	rotational	ADJ
fumecheng-1617	136	26	cauchy	cauchy	NOUN
fumecheng-1617	136	27	stress	stress	NOUN
fumecheng-1617	136	28	is	be	AUX
fumecheng-1617	136	29	computed	compute	VERB
fumecheng-1617	136	30	using	use	VERB
fumecheng-1617	136	31	the	the	DET
fumecheng-1617	136	32	material	material	ADJ
fumecheng-1617	136	33	constitutive	constitutive	ADJ
fumecheng-1617	136	34	law	law	NOUN
fumecheng-1617	136	35	:	:	PUNCT
fumecheng-1617	136	36	(	(	PUNCT
fumecheng-1617	136	37	i)tt(i)tt	i)tt(i)tt	AUX
fumecheng-1617	136	38	εhσ	εhσ	PROPN
fumecheng-1617	136	39			PROPN
fumecheng-1617	136	40			NOUN
fumecheng-1617	136	41	,	,	PUNCT
fumecheng-1617	136	42	(	(	PUNCT
fumecheng-1617	136	43	30	30	NUM
fumecheng-1617	136	44	)	)	PUNCT
fumecheng-1617	136	45	with	with	ADP
fumecheng-1617	136	46	constant	constant	ADJ
fumecheng-1617	136	47	hooke	hooke	NOUN
fumecheng-1617	136	48	’s	’s	PART
fumecheng-1617	136	49	matrix	matrix	NOUN
fumecheng-1617	136	50	h	h	NOUN
fumecheng-1617	136	51	and	and	CCONJ
fumecheng-1617	136	52	linear	linear	ADJ
fumecheng-1617	136	53	local	local	ADJ
fumecheng-1617	136	54	strain	strain	NOUN
fumecheng-1617	136	55	matrix	matrix	NOUN
fumecheng-1617	136	56	(	(	PUNCT
fumecheng-1617	136	57	i)tt	i)tt	PROPN
fumecheng-1617	136	58	ε	ε	PROPN
fumecheng-1617	136	59			ADP
fumecheng-1617	136	60	,	,	PUNCT
fumecheng-1617	136	61	which	which	PRON
fumecheng-1617	136	62	is	be	AUX
fumecheng-1617	136	63	obtained	obtain	VERB
fumecheng-1617	136	64	using	use	VERB
fumecheng-1617	136	65	the	the	DET
fumecheng-1617	136	66	rotation	rotation	NOUN
fumecheng-1617	136	67	-	-	PUNCT
fumecheng-1617	136	68	free	free	ADJ
fumecheng-1617	136	69	displacements	displacement	NOUN
fumecheng-1617	136	70	[	[	X
fumecheng-1617	136	71	7	7	NUM
fumecheng-1617	136	72	]	]	NUM
fumecheng-1617	136	73	:	:	PUNCT
fumecheng-1617	136	74	(	(	PUNCT
fumecheng-1617	136	75	i	i	NOUN
fumecheng-1617	136	76	)	)	PUNCT
fumecheng-1617	137	1	e	e	VERB
fumecheng-1617	137	2	tt	tt	PROPN
fumecheng-1617	137	3	l0	l0	INTJ
fumecheng-1617	138	1	(	(	PUNCT
fumecheng-1617	138	2	i)tt	i)tt	PROPN
fumecheng-1617	138	3	ubε	ubε	VERB
fumecheng-1617	138	4			PROPN
fumecheng-1617	138	5			PROPN
fumecheng-1617	138	6	.	.	PUNCT
fumecheng-1617	139	1	(	(	PUNCT
fumecheng-1617	139	2	31	31	NUM
fumecheng-1617	139	3	)	)	PUNCT
fumecheng-1617	139	4	finally	finally	ADV
fumecheng-1617	139	5	,	,	PUNCT
fumecheng-1617	139	6	the	the	DET
fumecheng-1617	139	7	internal	internal	ADJ
fumecheng-1617	139	8	element	element	NOUN
fumecheng-1617	139	9	forces	force	NOUN
fumecheng-1617	139	10	for	for	ADP
fumecheng-1617	139	11	a	a	DET
fumecheng-1617	139	12	linear	linear	ADJ
fumecheng-1617	139	13	tetrahedral	tetrahedral	ADJ
fumecheng-1617	139	14	element	element	NOUN
fumecheng-1617	139	15	can	can	AUX
fumecheng-1617	139	16	be	be	AUX
fumecheng-1617	139	17	written	write	VERB
fumecheng-1617	139	18	in	in	ADP
fumecheng-1617	139	19	the	the	DET
fumecheng-1617	139	20	closed	closed	ADJ
fumecheng-1617	139	21	form	form	NOUN
fumecheng-1617	139	22	:	:	PUNCT
fumecheng-1617	139	23	(	(	PUNCT
fumecheng-1617	139	24	i	i	NOUN
fumecheng-1617	139	25	)	)	PUNCT
fumecheng-1617	139	26	e	e	VERB
fumecheng-1617	139	27	tt	tt	PROPN
fumecheng-1617	139	28	e	e	PROPN
fumecheng-1617	139	29	t(i)tt(i)δtt	t(i)tt(i)δtt	PROPN
fumecheng-1617	139	30	0	0	PUNCT
fumecheng-1617	140	1	(	(	PUNCT
fumecheng-1617	140	2	i	i	NOUN
fumecheng-1617	140	3	)	)	PUNCT
fumecheng-1617	140	4	inte	inte	NOUN
fumecheng-1617	140	5	,	,	PUNCT
fumecheng-1617	140	6	δtt	δtt	ADJ
fumecheng-1617	140	7	ukprtf	ukprtf	NOUN
fumecheng-1617	140	8			PROPN
fumecheng-1617	140	9			PROPN
fumecheng-1617	140	10	.	.	PUNCT
fumecheng-1617	141	1	(	(	PUNCT
fumecheng-1617	141	2	32	32	NUM
fumecheng-1617	141	3	)	)	PUNCT
fumecheng-1617	141	4	the	the	DET
fumecheng-1617	141	5	operator	operator	NOUN
fumecheng-1617	141	6	a	a	PRON
fumecheng-1617	141	7	is	be	AUX
fumecheng-1617	141	8	a	a	DET
fumecheng-1617	141	9	3k×3k	3k×3k	NUM
fumecheng-1617	141	10	diagonal	diagonal	ADJ
fumecheng-1617	141	11	matrix	matrix	NOUN
fumecheng-1617	141	12	of	of	ADP
fumecheng-1617	141	13	submatrices	submatrice	NOUN
fumecheng-1617	141	14	a	a	PRON
fumecheng-1617	141	15	,	,	PUNCT
fumecheng-1617	141	16	and	and	CCONJ
fumecheng-1617	141	17	ek	ek	PROPN
fumecheng-1617	141	18	denoting	denote	VERB
fumecheng-1617	141	19	the	the	DET
fumecheng-1617	141	20	element	element	ADJ
fumecheng-1617	141	21	stiffness	stiffness	NOUN
fumecheng-1617	141	22	matrix	matrix	NOUN
fumecheng-1617	141	23	with	with	ADP
fumecheng-1617	141	24	:	:	PUNCT
fumecheng-1617	141	25	el0	el0	PROPN
fumecheng-1617	141	26	t	t	PROPN
fumecheng-1617	141	27	l0e	l0e	VERB
fumecheng-1617	142	1	vbhbk	vbhbk	INTJ
fumecheng-1617	142	2			NUM
fumecheng-1617	142	3	(	(	PUNCT
fumecheng-1617	142	4	33	33	NUM
fumecheng-1617	142	5	)	)	PUNCT
fumecheng-1617	142	6	where	where	SCONJ
fumecheng-1617	142	7	ve	ve	NOUN
fumecheng-1617	142	8	is	be	AUX
fumecheng-1617	142	9	the	the	DET
fumecheng-1617	142	10	volume	volume	NOUN
fumecheng-1617	142	11	of	of	ADP
fumecheng-1617	142	12	a	a	DET
fumecheng-1617	142	13	tetrahedral	tetrahedral	ADJ
fumecheng-1617	142	14	element	element	NOUN
fumecheng-1617	142	15	.	.	PUNCT
fumecheng-1617	143	1	matrix	matrix	NOUN
fumecheng-1617	143	2	ek	ek	PROPN
fumecheng-1617	143	3	is	be	AUX
fumecheng-1617	143	4	constant	constant	ADJ
fumecheng-1617	143	5	and	and	CCONJ
fumecheng-1617	143	6	,	,	PUNCT
fumecheng-1617	143	7	therefore	therefore	ADV
fumecheng-1617	143	8	,	,	PUNCT
fumecheng-1617	143	9	calculated	calculate	VERB
fumecheng-1617	143	10	once	once	ADV
fumecheng-1617	143	11	and	and	CCONJ
fumecheng-1617	143	12	saved	save	VERB
fumecheng-1617	143	13	.	.	PUNCT
fumecheng-1617	144	1	in	in	ADP
fumecheng-1617	144	2	this	this	DET
fumecheng-1617	144	3	way	way	NOUN
fumecheng-1617	144	4	,	,	PUNCT
fumecheng-1617	144	5	the	the	DET
fumecheng-1617	144	6	computational	computational	ADJ
fumecheng-1617	144	7	effort	effort	NOUN
fumecheng-1617	144	8	is	be	AUX
fumecheng-1617	144	9	reduced	reduce	VERB
fumecheng-1617	144	10	.	.	PUNCT
fumecheng-1617	145	1	3.2	3.2	NUM
fumecheng-1617	145	2	.	.	PUNCT
fumecheng-1617	145	3	tangent	tangent	PROPN
fumecheng-1617	145	4	element	element	NOUN
fumecheng-1617	145	5	stiffness	stiffness	NOUN
fumecheng-1617	145	6	matrix	matrix	NOUN
fumecheng-1617	145	7	the	the	DET
fumecheng-1617	145	8	tangent	tangent	NOUN
fumecheng-1617	145	9	element	element	NOUN
fumecheng-1617	145	10	stiffness	stiffness	NOUN
fumecheng-1617	145	11	matrix	matrix	NOUN
fumecheng-1617	145	12	,	,	PUNCT
fumecheng-1617	145	13	expressed	express	VERB
fumecheng-1617	145	14	in	in	ADP
fumecheng-1617	145	15	the	the	DET
fumecheng-1617	145	16	global	global	ADJ
fumecheng-1617	145	17	coordinate	coordinate	NOUN
fumecheng-1617	145	18	system	system	NOUN
fumecheng-1617	145	19	,	,	PUNCT
fumecheng-1617	145	20	can	can	AUX
fumecheng-1617	145	21	be	be	AUX
fumecheng-1617	145	22	calculated	calculate	VERB
fumecheng-1617	145	23	by	by	ADP
fumecheng-1617	145	24	the	the	DET
fumecheng-1617	145	25	variation	variation	NOUN
fumecheng-1617	145	26	of	of	ADP
fumecheng-1617	145	27	the	the	DET
fumecheng-1617	145	28	global	global	ADJ
fumecheng-1617	145	29	internal	internal	ADJ
fumecheng-1617	145	30	element	element	NOUN
fumecheng-1617	145	31	forces	force	NOUN
fumecheng-1617	145	32	with	with	ADP
fumecheng-1617	145	33	respect	respect	NOUN
fumecheng-1617	145	34	to	to	ADP
fumecheng-1617	145	35	the	the	DET
fumecheng-1617	145	36	global	global	ADJ
fumecheng-1617	145	37	element	element	NOUN
fumecheng-1617	145	38	displacements	displacement	NOUN
fumecheng-1617	145	39	[	[	X
fumecheng-1617	145	40	1	1	NUM
fumecheng-1617	145	41	]	]	NUM
fumecheng-1617	145	42	:	:	PUNCT
fumecheng-1617	145	43	(	(	PUNCT
fumecheng-1617	145	44	i	i	NOUN
fumecheng-1617	145	45	)	)	PUNCT
fumecheng-1617	145	46	e	e	PROPN
fumecheng-1617	145	47	tt	tt	PROPN
fumecheng-1617	145	48	(	(	PUNCT
fumecheng-1617	145	49	i	i	NOUN
fumecheng-1617	145	50	)	)	PUNCT
fumecheng-1617	145	51	inte	inte	NOUN
fumecheng-1617	145	52	,	,	PUNCT
fumecheng-1617	145	53	δtt	δtt	PROPN
fumecheng-1617	145	54	(	(	PUNCT
fumecheng-1617	145	55	i	i	NOUN
fumecheng-1617	145	56	)	)	PUNCT
fumecheng-1617	145	57	te	te	PROPN
fumecheng-1617	145	58	,	,	PUNCT
fumecheng-1617	145	59	tt	tt	PROPN
fumecheng-1617	145	60	u	u	PROPN
fumecheng-1617	145	61	f	f	PROPN
fumecheng-1617	145	62	k	k	PROPN
fumecheng-1617	145	63			ADP
fumecheng-1617	145	64			PROPN
fumecheng-1617	145	65			ADP
fumecheng-1617	145	66			ADJ
fumecheng-1617	145	67			PROPN
fumecheng-1617	145	68			PRON
fumecheng-1617	145	69	.	.	PUNCT
fumecheng-1617	146	1	(	(	PUNCT
fumecheng-1617	146	2	34	34	NUM
fumecheng-1617	146	3	)	)	PUNCT
fumecheng-1617	146	4	applying	apply	VERB
fumecheng-1617	146	5	the	the	DET
fumecheng-1617	146	6	product	product	NOUN
fumecheng-1617	146	7	rule	rule	NOUN
fumecheng-1617	146	8	to	to	ADP
fumecheng-1617	146	9	eq	eq	PROPN
fumecheng-1617	146	10	.	.	PUNCT
fumecheng-1617	147	1	(	(	PUNCT
fumecheng-1617	147	2	32	32	NUM
fumecheng-1617	147	3	)	)	PUNCT
fumecheng-1617	147	4	,	,	PUNCT
fumecheng-1617	147	5	one	one	PRON
fumecheng-1617	147	6	obtains	obtain	VERB
fumecheng-1617	147	7	:	:	PUNCT
fumecheng-1617	147	8	(	(	PUNCT
fumecheng-1617	147	9	i	i	NOUN
fumecheng-1617	147	10	)	)	PUNCT
fumecheng-1617	148	1	e	e	AUX
fumecheng-1617	148	2	tt	tt	PROPN
fumecheng-1617	148	3	(	(	PUNCT
fumecheng-1617	148	4	i	i	NOUN
fumecheng-1617	148	5	)	)	PUNCT
fumecheng-1617	148	6	e	e	VERB
fumecheng-1617	148	7	tt	tt	PROPN
fumecheng-1617	148	8	e	e	PROPN
fumecheng-1617	148	9	t(i)tt(i)δtt	t(i)tt(i)δtt	PROPN
fumecheng-1617	148	10	0	0	PUNCT
fumecheng-1617	149	1	(	(	PUNCT
fumecheng-1617	149	2	i	i	NOUN
fumecheng-1617	149	3	)	)	PUNCT
fumecheng-1617	149	4	e	e	VERB
fumecheng-1617	149	5	tt	tt	PROPN
fumecheng-1617	149	6	e(i	e(i	PROPN
fumecheng-1617	149	7	)	)	PUNCT
fumecheng-1617	149	8	e	e	NOUN
fumecheng-1617	149	9	tt	tt	PROPN
fumecheng-1617	149	10	t(i)tt	t(i)tt	NUM
fumecheng-1617	149	11	(	(	PUNCT
fumecheng-1617	149	12	i)δtt	i)δtt	PROPN
fumecheng-1617	149	13	0	0	PUNCT
fumecheng-1617	150	1	(	(	PUNCT
fumecheng-1617	150	2	i	i	NOUN
fumecheng-1617	150	3	)	)	PUNCT
fumecheng-1617	151	1	e	e	VERB
fumecheng-1617	151	2	tt	tt	PROPN
fumecheng-1617	151	3	e	e	PROPN
fumecheng-1617	151	4	t(i)tt	t(i)tt	NUM
fumecheng-1617	151	5	(	(	PUNCT
fumecheng-1617	151	6	i	i	NOUN
fumecheng-1617	151	7	)	)	PUNCT
fumecheng-1617	151	8	e	e	PROPN
fumecheng-1617	151	9	tt	tt	PROPN
fumecheng-1617	151	10	(	(	PUNCT
fumecheng-1617	151	11	i)δtt	i)δtt	PROPN
fumecheng-1617	151	12	0(i	0(i	NUM
fumecheng-1617	151	13	)	)	PUNCT
fumecheng-1617	151	14	te	te	PROPN
fumecheng-1617	151	15	,	,	PUNCT
fumecheng-1617	151	16	tt	tt	PROPN
fumecheng-1617	151	17	u	u	PROPN
fumecheng-1617	151	18	u	u	PROPN
fumecheng-1617	151	19	kprt	kprt	PROPN
fumecheng-1617	151	20	uk	uk	PROPN
fumecheng-1617	151	21	u	u	PROPN
fumecheng-1617	151	22	p	p	PROPN
fumecheng-1617	151	23	rtukp	rtukp	PROPN
fumecheng-1617	151	24	u	u	PROPN
fumecheng-1617	151	25	rt	rt	PROPN
fumecheng-1617	151	26	k	k	PROPN
fumecheng-1617	151	27			ADP
fumecheng-1617	151	28			NUM
fumecheng-1617	151	29			NOUN
fumecheng-1617	151	30			ADJ
fumecheng-1617	151	31			ADP
fumecheng-1617	151	32			ADP
fumecheng-1617	151	33			PROPN
fumecheng-1617	151	34			ADP
fumecheng-1617	151	35			PROPN
fumecheng-1617	151	36			ADP
fumecheng-1617	151	37			PROPN
fumecheng-1617	151	38			PROPN
fumecheng-1617	151	39			PROPN
fumecheng-1617	151	40			PUNCT
fumecheng-1617	151	41			PROPN
fumecheng-1617	151	42			PROPN
fumecheng-1617	151	43			PROPN
fumecheng-1617	151	44			ADJ
fumecheng-1617	151	45			PROPN
fumecheng-1617	151	46			PRON
fumecheng-1617	151	47	(	(	PUNCT
fumecheng-1617	151	48	35	35	NUM
fumecheng-1617	151	49	)	)	PUNCT
fumecheng-1617	151	50	more	more	ADJ
fumecheng-1617	151	51	details	detail	NOUN
fumecheng-1617	151	52	on	on	ADP
fumecheng-1617	151	53	eq	eq	ADP
fumecheng-1617	151	54	.	.	PUNCT
fumecheng-1617	152	1	(	(	PUNCT
fumecheng-1617	152	2	35	35	NUM
fumecheng-1617	152	3	)	)	PUNCT
fumecheng-1617	152	4	are	be	AUX
fumecheng-1617	152	5	available	available	ADJ
fumecheng-1617	152	6	in	in	ADP
fumecheng-1617	152	7	[	[	X
fumecheng-1617	152	8	1	1	NUM
fumecheng-1617	152	9	,	,	PUNCT
fumecheng-1617	152	10	4	4	NUM
fumecheng-1617	152	11	,	,	PUNCT
fumecheng-1617	152	12	5	5	NUM
fumecheng-1617	152	13	]	]	PUNCT
fumecheng-1617	152	14	.	.	PUNCT
fumecheng-1617	153	1	the	the	DET
fumecheng-1617	153	2	variations	variation	NOUN
fumecheng-1617	153	3	in	in	ADP
fumecheng-1617	153	4	eq	eq	ADP
fumecheng-1617	153	5	.	.	PUNCT
fumecheng-1617	153	6	(	(	PUNCT
fumecheng-1617	153	7	35	35	NUM
fumecheng-1617	153	8	)	)	PUNCT
fumecheng-1617	153	9	are	be	AUX
fumecheng-1617	153	10	:	:	PUNCT
fumecheng-1617	153	11	(	(	PUNCT
fumecheng-1617	153	12	i	i	NOUN
fumecheng-1617	153	13	)	)	PUNCT
fumecheng-1617	153	14	e	e	PROPN
fumecheng-1617	153	15	tt	tt	PROPN
fumecheng-1617	153	16	t	t	PROPN
fumecheng-1617	153	17	(	(	PUNCT
fumecheng-1617	153	18	i)δtt	i)δtt	PROPN
fumecheng-1617	153	19	0	0	PUNCT
fumecheng-1617	154	1	(	(	PUNCT
fumecheng-1617	154	2	i)tt(i	i)tt(i	ADV
fumecheng-1617	154	3	)	)	PUNCT
fumecheng-1617	154	4	e	e	NOUN
fumecheng-1617	154	5	tt	tt	PROPN
fumecheng-1617	154	6	urtpu	urtpu	PROPN
fumecheng-1617	154	7			X
fumecheng-1617	154	8			PROPN
fumecheng-1617	154	9	,	,	PUNCT
fumecheng-1617	154	10	(	(	PUNCT
fumecheng-1617	154	11	36	36	NUM
fumecheng-1617	154	12	)	)	PUNCT
fumecheng-1617	154	13	t	t	NOUN
fumecheng-1617	154	14	δt	δt	X
fumecheng-1617	154	15	(	(	PUNCT
fumecheng-1617	154	16	i	i	NOUN
fumecheng-1617	154	17	)	)	PUNCT
fumecheng-1617	154	18	t	t	PROPN
fumecheng-1617	154	19	δt	δt	X
fumecheng-1617	154	20	(	(	PUNCT
fumecheng-1617	154	21	i	i	NOUN
fumecheng-1617	154	22	)	)	PUNCT
fumecheng-1617	154	23	t	t	PROPN
fumecheng-1617	154	24	t	t	PROPN
fumecheng-1617	154	25	(	(	PUNCT
fumecheng-1617	154	26	i)spin	i)spin	NOUN
fumecheng-1617	154	27	(	(	PUNCT
fumecheng-1617	154	28	)	)	PUNCT
fumecheng-1617	154	29			ADV
fumecheng-1617	154	30			PUNCT
fumecheng-1617	154	31			VERB
fumecheng-1617	154	32			PROPN
fumecheng-1617	154	33			ADJ
fumecheng-1617	154	34	r	r	ADJ
fumecheng-1617	154	35	r	r	NOUN
fumecheng-1617	154	36	,	,	PUNCT
fumecheng-1617	154	37	(	(	PUNCT
fumecheng-1617	154	38	37	37	NUM
fumecheng-1617	154	39	)	)	PUNCT
fumecheng-1617	154	40	t(i)tt(i	t(i)tt(i	NUM
fumecheng-1617	154	41	)	)	PUNCT
fumecheng-1617	154	42	s	s	PART
fumecheng-1617	154	43	tt(i)tt(i)tt	tt(i)tt(i)tt	NOUN
fumecheng-1617	154	44			PROPN
fumecheng-1617	154	45			PROPN
fumecheng-1617	154	46			PROPN
fumecheng-1617	154	47	pppp	pppp	PROPN
fumecheng-1617	154	48	.	.	PUNCT
fumecheng-1617	155	1	(	(	PUNCT
fumecheng-1617	155	2	38	38	NUM
fumecheng-1617	155	3	)	)	PUNCT
fumecheng-1617	155	4	an	an	DET
fumecheng-1617	155	5	efficient	efficient	ADJ
fumecheng-1617	155	6	co	co	ADJ
fumecheng-1617	155	7	-	-	ADJ
fumecheng-1617	155	8	rotational	rotational	ADJ
fumecheng-1617	155	9	fem	fem	NOUN
fumecheng-1617	155	10	formulation	formulation	NOUN
fumecheng-1617	155	11	using	use	VERB
fumecheng-1617	155	12	a	a	DET
fumecheng-1617	155	13	projector	projector	NOUN
fumecheng-1617	155	14	matrix	matrix	NOUN
fumecheng-1617	155	15	235	235	NUM
fumecheng-1617	155	16	substituting	substitute	VERB
fumecheng-1617	155	17	eqs	eqs	PROPN
fumecheng-1617	155	18	.	.	PUNCT
fumecheng-1617	156	1	(	(	PUNCT
fumecheng-1617	156	2	36	36	NUM
fumecheng-1617	156	3	)	)	PUNCT
fumecheng-1617	156	4	,	,	PUNCT
fumecheng-1617	156	5	(	(	PUNCT
fumecheng-1617	156	6	37	37	NUM
fumecheng-1617	156	7	)	)	PUNCT
fumecheng-1617	156	8	and	and	CCONJ
fumecheng-1617	156	9	(	(	PUNCT
fumecheng-1617	156	10	38	38	NUM
fumecheng-1617	156	11	)	)	PUNCT
fumecheng-1617	156	12	into	into	ADP
fumecheng-1617	156	13	eq	eq	NOUN
fumecheng-1617	156	14	.	.	PUNCT
fumecheng-1617	157	1	(	(	PUNCT
fumecheng-1617	157	2	35	35	NUM
fumecheng-1617	157	3	)	)	PUNCT
fumecheng-1617	157	4	,	,	PUNCT
fumecheng-1617	157	5	the	the	DET
fumecheng-1617	157	6	resulting	result	VERB
fumecheng-1617	157	7	global	global	ADJ
fumecheng-1617	157	8	tangent	tangent	NOUN
fumecheng-1617	157	9	stiffness	stiffness	NOUN
fumecheng-1617	157	10	matrix	matrix	NOUN
fumecheng-1617	157	11	is	be	AUX
fumecheng-1617	157	12	generally	generally	ADV
fumecheng-1617	157	13	asymmetric	asymmetric	ADJ
fumecheng-1617	157	14	and	and	CCONJ
fumecheng-1617	157	15	given	give	VERB
fumecheng-1617	157	16	as	as	ADP
fumecheng-1617	157	17	:	:	PUNCT
fumecheng-1617	157	18	t	t	PROPN
fumecheng-1617	157	19	(	(	PUNCT
fumecheng-1617	157	20	i)δtt	i)δtt	PROPN
fumecheng-1617	157	21	0	0	PUNCT
fumecheng-1617	158	1	(	(	PUNCT
fumecheng-1617	158	2	i	i	NOUN
fumecheng-1617	158	3	)	)	PUNCT
fumecheng-1617	158	4	te	te	PROPN
fumecheng-1617	158	5	,	,	PUNCT
fumecheng-1617	158	6	tt(i)δtt	tt(i)δtt	X
fumecheng-1617	158	7	0	0	PUNCT
fumecheng-1617	159	1	(	(	PUNCT
fumecheng-1617	159	2	i	i	NOUN
fumecheng-1617	159	3	)	)	PUNCT
fumecheng-1617	159	4	te	te	PROPN
fumecheng-1617	159	5	,	,	PUNCT
fumecheng-1617	159	6	tt	tt	PROPN
fumecheng-1617	159	7	rtkrtk	rtkrtk	VERB
fumecheng-1617	159	8			VERB
fumecheng-1617	159	9			ADV
fumecheng-1617	159	10	,	,	PUNCT
fumecheng-1617	159	11	(	(	PUNCT
fumecheng-1617	159	12	39	39	NUM
fumecheng-1617	159	13	)	)	PUNCT
fumecheng-1617	159	14	where	where	SCONJ
fumecheng-1617	159	15	(	(	PUNCT
fumecheng-1617	159	16	i	i	NOUN
fumecheng-1617	159	17	)	)	PUNCT
fumecheng-1617	159	18	te	te	PROPN
fumecheng-1617	159	19	,	,	PUNCT
fumecheng-1617	159	20	tt	tt	PROPN
fumecheng-1617	159	21	k	k	PROPN
fumecheng-1617	159	22			PROPN
fumecheng-1617	159	23	is	be	AUX
fumecheng-1617	159	24	the	the	DET
fumecheng-1617	159	25	local	local	ADJ
fumecheng-1617	159	26	tangent	tangent	NOUN
fumecheng-1617	159	27	element	element	NOUN
fumecheng-1617	159	28	stiffness	stiffness	NOUN
fumecheng-1617	159	29	that	that	PRON
fumecheng-1617	159	30	can	can	AUX
fumecheng-1617	159	31	be	be	AUX
fumecheng-1617	159	32	expressed	express	VERB
fumecheng-1617	159	33	as	as	ADP
fumecheng-1617	159	34	:	:	PUNCT
fumecheng-1617	159	35	t	t	PROPN
fumecheng-1617	159	36	tt	tt	X
fumecheng-1617	159	37	t	t	PROPN
fumecheng-1617	159	38	(	(	PUNCT
fumecheng-1617	159	39	i	i	NOUN
fumecheng-1617	159	40	)	)	PUNCT
fumecheng-1617	159	41	t	t	PROPN
fumecheng-1617	159	42	t	t	PROPN
fumecheng-1617	159	43	(	(	PUNCT
fumecheng-1617	159	44	i	i	NOUN
fumecheng-1617	159	45	)	)	PUNCT
fumecheng-1617	159	46	t	t	PROPN
fumecheng-1617	159	47	t	t	PROPN
fumecheng-1617	159	48	(	(	PUNCT
fumecheng-1617	159	49	i	i	NOUN
fumecheng-1617	159	50	)	)	PUNCT
fumecheng-1617	160	1	t	t	PROPN
fumecheng-1617	160	2	δt	δt	X
fumecheng-1617	160	3	(	(	PUNCT
fumecheng-1617	160	4	i	i	NOUN
fumecheng-1617	160	5	)	)	PUNCT
fumecheng-1617	160	6	t	t	PROPN
fumecheng-1617	160	7	t	t	PROPN
fumecheng-1617	160	8	(	(	PUNCT
fumecheng-1617	160	9	i	i	NOUN
fumecheng-1617	160	10	)	)	PUNCT
fumecheng-1617	160	11	t	t	PROPN
fumecheng-1617	160	12	t	t	PROPN
fumecheng-1617	160	13	(	(	PUNCT
fumecheng-1617	160	14	i	i	NOUN
fumecheng-1617	160	15	)	)	PUNCT
fumecheng-1617	160	16	t	t	PROPN
fumecheng-1617	160	17	δt	δt	X
fumecheng-1617	160	18	(	(	PUNCT
fumecheng-1617	160	19	i	i	NOUN
fumecheng-1617	160	20	)	)	PUNCT
fumecheng-1617	160	21	t	t	PROPN
fumecheng-1617	160	22	t	t	PROPN
fumecheng-1617	160	23	t	t	PROPN
fumecheng-1617	160	24	(	(	PUNCT
fumecheng-1617	160	25	i	i	NOUN
fumecheng-1617	160	26	)	)	PUNCT
fumecheng-1617	160	27	e	e	PROPN
fumecheng-1617	160	28	,	,	PUNCT
fumecheng-1617	160	29	t	t	PROPN
fumecheng-1617	160	30	e	e	PROPN
fumecheng-1617	160	31	e	e	PROPN
fumecheng-1617	160	32	,	,	PUNCT
fumecheng-1617	160	33	int	int	NOUN
fumecheng-1617	160	34	e	e	NOUN
fumecheng-1617	160	35	,	,	PUNCT
fumecheng-1617	160	36	int[spin	int[spin	ADV
fumecheng-1617	160	37	]	]	PUNCT
fumecheng-1617	161	1	[	[	X
fumecheng-1617	161	2	spin	spin	X
fumecheng-1617	161	3	]	]	X
fumecheng-1617	161	4			PROPN
fumecheng-1617	161	5			PROPN
fumecheng-1617	161	6			PROPN
fumecheng-1617	161	7			PUNCT
fumecheng-1617	161	8			PROPN
fumecheng-1617	161	9			PROPN
fumecheng-1617	161	10			PUNCT
fumecheng-1617	161	11			PROPN
fumecheng-1617	161	12			PROPN
fumecheng-1617	161	13			PROPN
fumecheng-1617	161	14			PROPN
fumecheng-1617	161	15	k	k	NOUN
fumecheng-1617	162	1	p	p	X
fumecheng-1617	162	2	k	k	PROPN
fumecheng-1617	163	1	p	p	X
fumecheng-1617	163	2	f	f	X
fumecheng-1617	164	1	p	p	X
fumecheng-1617	164	2	p	p	X
fumecheng-1617	164	3	f	f	X
fumecheng-1617	164	4	p	p	X
fumecheng-1617	164	5	(	(	PUNCT
fumecheng-1617	164	6	40	40	NUM
fumecheng-1617	164	7	)	)	PUNCT
fumecheng-1617	164	8	where	where	SCONJ
fumecheng-1617	164	9	t	t	PROPN
fumecheng-1617	164	10	δt	δt	X
fumecheng-1617	164	11	(	(	PUNCT
fumecheng-1617	164	12	i	i	NOUN
fumecheng-1617	164	13	)	)	PUNCT
fumecheng-1617	164	14	e	e	X
fumecheng-1617	164	15	,	,	PUNCT
fumecheng-1617	164	16	int[spin	int[spin	ADV
fumecheng-1617	164	17	]	]	PUNCT
fumecheng-1617	164	18			ADV
fumecheng-1617	164	19	f	f	PROPN
fumecheng-1617	164	20	represents	represent	VERB
fumecheng-1617	164	21	a	a	DET
fumecheng-1617	164	22	3k×3	3k×3	NUM
fumecheng-1617	164	23	matrix	matrix	NOUN
fumecheng-1617	164	24	that	that	PRON
fumecheng-1617	164	25	contains	contain	VERB
fumecheng-1617	164	26	k	k	PROPN
fumecheng-1617	164	27	spin	spin	NOUN
fumecheng-1617	164	28	-	-	PUNCT
fumecheng-1617	164	29	matrices	matrix	NOUN
fumecheng-1617	164	30	of	of	ADP
fumecheng-1617	164	31	the	the	DET
fumecheng-1617	164	32	local	local	ADJ
fumecheng-1617	164	33	nodal	nodal	NOUN
fumecheng-1617	164	34	force	force	NOUN
fumecheng-1617	164	35	vectors	vector	NOUN
fumecheng-1617	164	36	:	:	PUNCT
fumecheng-1617	165	1	t	t	PROPN
fumecheng-1617	165	2	δt	δt	X
fumecheng-1617	165	3	(	(	PUNCT
fumecheng-1617	165	4	i	i	NOUN
fumecheng-1617	165	5	)	)	PUNCT
fumecheng-1617	165	6	t	t	PROPN
fumecheng-1617	165	7	δt	δt	X
fumecheng-1617	165	8	(	(	PUNCT
fumecheng-1617	165	9	i	i	NOUN
fumecheng-1617	165	10	)	)	PUNCT
fumecheng-1617	165	11	t	t	PROPN
fumecheng-1617	165	12	t	t	X
fumecheng-1617	165	13	δt	δt	PROPN
fumecheng-1617	165	14	(	(	PUNCT
fumecheng-1617	165	15	i	i	NOUN
fumecheng-1617	165	16	)	)	PUNCT
fumecheng-1617	165	17	t	t	PROPN
fumecheng-1617	165	18	t	t	X
fumecheng-1617	165	19	δt	δt	PROPN
fumecheng-1617	165	20	(	(	PUNCT
fumecheng-1617	165	21	i	i	NOUN
fumecheng-1617	165	22	)	)	PUNCT
fumecheng-1617	165	23	t	t	PROPN
fumecheng-1617	165	24	t	t	PROPN
fumecheng-1617	165	25	e	e	PROPN
fumecheng-1617	165	26	,	,	PUNCT
fumecheng-1617	165	27	int	int	PROPN
fumecheng-1617	165	28	1,int	1,int	NUM
fumecheng-1617	165	29	2,int	2,int	NUM
fumecheng-1617	165	30	k	k	NOUN
fumecheng-1617	165	31	,	,	PUNCT
fumecheng-1617	165	32	int[spin	int[spin	ADV
fumecheng-1617	165	33	]	]	PUNCT
fumecheng-1617	166	1	[	[	X
fumecheng-1617	166	2	spin	spin	X
fumecheng-1617	166	3	(	(	PUNCT
fumecheng-1617	166	4	)	)	PUNCT
fumecheng-1617	166	5	spin	spin	NOUN
fumecheng-1617	166	6	(	(	PUNCT
fumecheng-1617	166	7	)	)	PUNCT
fumecheng-1617	166	8	...	...	PUNCT
fumecheng-1617	167	1	spin	spin	NOUN
fumecheng-1617	167	2	(	(	PUNCT
fumecheng-1617	167	3	)	)	PUNCT
fumecheng-1617	167	4	]	]	PUNCT
fumecheng-1617	167	5			PROPN
fumecheng-1617	167	6			VERB
fumecheng-1617	167	7			PROPN
fumecheng-1617	167	8	f	f	PUNCT
fumecheng-1617	167	9	f	f	PROPN
fumecheng-1617	167	10	f	f	PROPN
fumecheng-1617	167	11	f	f	PROPN
fumecheng-1617	167	12	,	,	PUNCT
fumecheng-1617	167	13	(	(	PUNCT
fumecheng-1617	167	14	41	41	NUM
fumecheng-1617	167	15	)	)	PUNCT
fumecheng-1617	167	16	with	with	ADP
fumecheng-1617	167	17	local	local	ADJ
fumecheng-1617	167	18	element	element	NOUN
fumecheng-1617	167	19	forces	force	NOUN
fumecheng-1617	167	20	(	(	PUNCT
fumecheng-1617	167	21	i	i	NOUN
fumecheng-1617	167	22	)	)	PUNCT
fumecheng-1617	167	23	inte	inte	NOUN
fumecheng-1617	167	24	,	,	PUNCT
fumecheng-1617	167	25	δtt	δtt	PROPN
fumecheng-1617	167	26	f	f	PROPN
fumecheng-1617	167	27			ADV
fumecheng-1617	167	28	computed	compute	VERB
fumecheng-1617	167	29	as	as	SCONJ
fumecheng-1617	167	30	follows	follow	VERB
fumecheng-1617	167	31	:	:	PUNCT
fumecheng-1617	167	32	(	(	PUNCT
fumecheng-1617	167	33	i	i	NOUN
fumecheng-1617	167	34	)	)	PUNCT
fumecheng-1617	167	35	e	e	VERB
fumecheng-1617	167	36	tt	tt	PROPN
fumecheng-1617	167	37	e	e	PROPN
fumecheng-1617	167	38	t(i)tt(i	t(i)tt(i	PROPN
fumecheng-1617	167	39	)	)	PUNCT
fumecheng-1617	167	40	inte	inte	NOUN
fumecheng-1617	167	41	,	,	PUNCT
fumecheng-1617	167	42	δtt	δtt	PROPN
fumecheng-1617	167	43	ukpf	ukpf	NOUN
fumecheng-1617	167	44			PROPN
fumecheng-1617	167	45			PROPN
fumecheng-1617	167	46	.	.	PUNCT
fumecheng-1617	168	1	(	(	PUNCT
fumecheng-1617	168	2	42	42	X
fumecheng-1617	168	3	)	)	PUNCT
fumecheng-1617	168	4	simo	simo	NOUN
fumecheng-1617	169	1	[	[	X
fumecheng-1617	169	2	14	14	NUM
fumecheng-1617	169	3	]	]	PUNCT
fumecheng-1617	169	4	has	have	AUX
fumecheng-1617	169	5	shown	show	VERB
fumecheng-1617	169	6	that	that	SCONJ
fumecheng-1617	169	7	the	the	DET
fumecheng-1617	169	8	symmetric	symmetric	ADJ
fumecheng-1617	169	9	part	part	NOUN
fumecheng-1617	169	10	of	of	ADP
fumecheng-1617	169	11	the	the	DET
fumecheng-1617	169	12	global	global	ADJ
fumecheng-1617	169	13	tangent	tangent	PROPN
fumecheng-1617	169	14	element	element	NOUN
fumecheng-1617	169	15	stiffness	stiffness	NOUN
fumecheng-1617	169	16	matrix	matrix	NOUN
fumecheng-1617	169	17	is	be	AUX
fumecheng-1617	169	18	sufficient	sufficient	ADJ
fumecheng-1617	169	19	for	for	ADP
fumecheng-1617	169	20	a	a	DET
fumecheng-1617	169	21	quadratic	quadratic	ADJ
fumecheng-1617	169	22	rate	rate	NOUN
fumecheng-1617	169	23	of	of	ADP
fumecheng-1617	169	24	convergence	convergence	NOUN
fumecheng-1617	169	25	of	of	ADP
fumecheng-1617	169	26	the	the	DET
fumecheng-1617	169	27	newton	newton	PROPN
fumecheng-1617	169	28	-	-	PUNCT
fumecheng-1617	169	29	raphson	raphson	PROPN
fumecheng-1617	169	30	method	method	NOUN
fumecheng-1617	169	31	,	,	PUNCT
fumecheng-1617	169	32	hence	hence	ADV
fumecheng-1617	169	33	:	:	PUNCT
fumecheng-1617	169	34	t	t	PROPN
fumecheng-1617	169	35	t	t	PROPN
fumecheng-1617	169	36	t	t	PROPN
fumecheng-1617	169	37	(	(	PUNCT
fumecheng-1617	169	38	i	i	NOUN
fumecheng-1617	169	39	)	)	PUNCT
fumecheng-1617	169	40	t	t	PROPN
fumecheng-1617	169	41	δt	δt	X
fumecheng-1617	169	42	(	(	PUNCT
fumecheng-1617	169	43	i	i	NOUN
fumecheng-1617	169	44	)	)	PUNCT
fumecheng-1617	169	45	t	t	PROPN
fumecheng-1617	169	46	t	t	PROPN
fumecheng-1617	169	47	(	(	PUNCT
fumecheng-1617	169	48	i	i	NOUN
fumecheng-1617	169	49	)	)	PUNCT
fumecheng-1617	169	50	t	t	PROPN
fumecheng-1617	169	51	δt	δt	X
fumecheng-1617	169	52	(	(	PUNCT
fumecheng-1617	169	53	i	i	NOUN
fumecheng-1617	169	54	)	)	PUNCT
fumecheng-1617	169	55	e	e	PROPN
fumecheng-1617	169	56	,	,	PUNCT
fumecheng-1617	169	57	t	t	PROPN
fumecheng-1617	169	58	sym	sym	NOUN
fumecheng-1617	169	59	0	0	NUM
fumecheng-1617	170	1	e	e	PROPN
fumecheng-1617	170	2	,	,	PUNCT
fumecheng-1617	170	3	t	t	PROPN
fumecheng-1617	170	4	sym	sym	NOUN
fumecheng-1617	170	5	0	0	NUM
fumecheng-1617	170	6	(	(	PUNCT
fumecheng-1617	170	7	)	)	PUNCT
fumecheng-1617	170	8	(	(	PUNCT
fumecheng-1617	170	9	)	)	PUNCT
fumecheng-1617	170	10			PROPN
fumecheng-1617	170	11			PUNCT
fumecheng-1617	170	12			PROPN
fumecheng-1617	170	13	k	k	VERB
fumecheng-1617	170	14	t	t	PROPN
fumecheng-1617	170	15	r	r	NOUN
fumecheng-1617	170	16	k	k	PROPN
fumecheng-1617	170	17	t	t	PROPN
fumecheng-1617	170	18	r	r	NOUN
fumecheng-1617	170	19	,	,	PUNCT
fumecheng-1617	170	20	(	(	PUNCT
fumecheng-1617	170	21	43	43	NUM
fumecheng-1617	170	22	)	)	PUNCT
fumecheng-1617	170	23	where	where	SCONJ
fumecheng-1617	170	24	the	the	DET
fumecheng-1617	170	25	symmetric	symmetric	ADJ
fumecheng-1617	170	26	part	part	NOUN
fumecheng-1617	170	27	of	of	ADP
fumecheng-1617	170	28	the	the	DET
fumecheng-1617	170	29	local	local	ADJ
fumecheng-1617	170	30	tangent	tangent	NOUN
fumecheng-1617	170	31	element	element	NOUN
fumecheng-1617	170	32	stiffness	stiffness	NOUN
fumecheng-1617	170	33	is	be	AUX
fumecheng-1617	170	34	given	give	VERB
fumecheng-1617	170	35	as	as	ADP
fumecheng-1617	170	36	:	:	PUNCT
fumecheng-1617	170	37	tt	tt	PROPN
fumecheng-1617	170	38	t	t	PROPN
fumecheng-1617	170	39	(	(	PUNCT
fumecheng-1617	170	40	i	i	NOUN
fumecheng-1617	170	41	)	)	PUNCT
fumecheng-1617	170	42	t	t	PROPN
fumecheng-1617	170	43	t	t	PROPN
fumecheng-1617	170	44	(	(	PUNCT
fumecheng-1617	170	45	i	i	NOUN
fumecheng-1617	170	46	)	)	PUNCT
fumecheng-1617	171	1	t	t	PROPN
fumecheng-1617	171	2	t	t	PROPN
fumecheng-1617	171	3	(	(	PUNCT
fumecheng-1617	171	4	i	i	NOUN
fumecheng-1617	171	5	)	)	PUNCT
fumecheng-1617	171	6	t	t	PROPN
fumecheng-1617	171	7	t	t	PROPN
fumecheng-1617	171	8	(	(	PUNCT
fumecheng-1617	171	9	i	i	NOUN
fumecheng-1617	171	10	)	)	PUNCT
fumecheng-1617	172	1	t	t	PROPN
fumecheng-1617	172	2	δt	δt	X
fumecheng-1617	172	3	(	(	PUNCT
fumecheng-1617	172	4	i	i	NOUN
fumecheng-1617	172	5	)	)	PUNCT
fumecheng-1617	172	6	t	t	PROPN
fumecheng-1617	172	7	e	e	PROPN
fumecheng-1617	172	8	,	,	PUNCT
fumecheng-1617	172	9	t	t	PROPN
fumecheng-1617	172	10	sym	sym	PROPN
fumecheng-1617	172	11	e	e	PROPN
fumecheng-1617	172	12	e	e	PROPN
fumecheng-1617	172	13	,	,	PUNCT
fumecheng-1617	172	14	int	int	PROPN
fumecheng-1617	172	15	t	t	PROPN
fumecheng-1617	172	16	tt	tt	PROPN
fumecheng-1617	172	17	t	t	PROPN
fumecheng-1617	172	18	(	(	PUNCT
fumecheng-1617	172	19	i	i	NOUN
fumecheng-1617	172	20	)	)	PUNCT
fumecheng-1617	172	21	t	t	PROPN
fumecheng-1617	172	22	δt	δt	X
fumecheng-1617	172	23	(	(	PUNCT
fumecheng-1617	172	24	i	i	NOUN
fumecheng-1617	172	25	)	)	PUNCT
fumecheng-1617	172	26	t	t	PROPN
fumecheng-1617	172	27	t	t	PROPN
fumecheng-1617	172	28	(	(	PUNCT
fumecheng-1617	172	29	i	i	NOUN
fumecheng-1617	172	30	)	)	PUNCT
fumecheng-1617	172	31	e	e	NOUN
fumecheng-1617	172	32	,	,	PUNCT
fumecheng-1617	172	33	int	int	NOUN
fumecheng-1617	172	34	1	1	NUM
fumecheng-1617	172	35	(	(	PUNCT
fumecheng-1617	172	36	)	)	PUNCT
fumecheng-1617	173	1	[	[	X
fumecheng-1617	173	2	spin	spin	X
fumecheng-1617	173	3	]	]	X
fumecheng-1617	173	4	2	2	NUM
fumecheng-1617	173	5	1	1	NUM
fumecheng-1617	173	6	[	[	X
fumecheng-1617	173	7	spin	spin	X
fumecheng-1617	173	8	]	]	PUNCT
fumecheng-1617	173	9	2	2	NUM
fumecheng-1617	173	10			PROPN
fumecheng-1617	173	11			PROPN
fumecheng-1617	173	12			PROPN
fumecheng-1617	173	13			PROPN
fumecheng-1617	173	14			PUNCT
fumecheng-1617	173	15			PROPN
fumecheng-1617	173	16			PROPN
fumecheng-1617	173	17			PUNCT
fumecheng-1617	173	18			PROPN
fumecheng-1617	173	19			PROPN
fumecheng-1617	173	20			PROPN
fumecheng-1617	173	21			PROPN
fumecheng-1617	173	22			PROPN
fumecheng-1617	173	23			PROPN
fumecheng-1617	173	24	k	k	PROPN
fumecheng-1617	174	1	p	p	X
fumecheng-1617	175	1	k	k	PROPN
fumecheng-1617	175	2	p	p	X
fumecheng-1617	175	3	p	p	X
fumecheng-1617	175	4	f	f	X
fumecheng-1617	175	5	p	p	X
fumecheng-1617	175	6	f	f	X
fumecheng-1617	175	7	p	p	X
fumecheng-1617	175	8	(	(	PUNCT
fumecheng-1617	175	9	44	44	NUM
fumecheng-1617	175	10	)	)	PUNCT
fumecheng-1617	175	11	a	a	DET
fumecheng-1617	175	12	detailed	detailed	ADJ
fumecheng-1617	175	13	discussion	discussion	NOUN
fumecheng-1617	175	14	about	about	ADP
fumecheng-1617	175	15	the	the	DET
fumecheng-1617	175	16	tangent	tangent	ADJ
fumecheng-1617	175	17	stiffness	stiffness	NOUN
fumecheng-1617	175	18	matrix	matrix	NOUN
fumecheng-1617	175	19	in	in	ADP
fumecheng-1617	175	20	eq	eq	PROPN
fumecheng-1617	175	21	.	.	PUNCT
fumecheng-1617	176	1	(	(	PUNCT
fumecheng-1617	176	2	44	44	NUM
fumecheng-1617	176	3	)	)	PUNCT
fumecheng-1617	176	4	can	can	AUX
fumecheng-1617	176	5	be	be	AUX
fumecheng-1617	176	6	found	find	VERB
fumecheng-1617	176	7	in	in	ADP
fumecheng-1617	176	8	[	[	X
fumecheng-1617	176	9	1	1	NUM
fumecheng-1617	176	10	]	]	PUNCT
fumecheng-1617	176	11	.	.	PUNCT
fumecheng-1617	177	1	4	4	X
fumecheng-1617	177	2	.	.	X
fumecheng-1617	177	3	co	co	ADJ
fumecheng-1617	177	4	-	-	ADJ
fumecheng-1617	177	5	rotational	rotational	ADJ
fumecheng-1617	177	6	computational	computational	ADJ
fumecheng-1617	177	7	procedure	procedure	NOUN
fumecheng-1617	177	8	and	and	CCONJ
fumecheng-1617	177	9	numerical	numerical	ADJ
fumecheng-1617	177	10	examples	example	NOUN
fumecheng-1617	177	11	the	the	DET
fumecheng-1617	177	12	proposed	propose	VERB
fumecheng-1617	177	13	co	co	ADJ
fumecheng-1617	177	14	-	-	ADJ
fumecheng-1617	177	15	rotational	rotational	ADJ
fumecheng-1617	177	16	framework	framework	NOUN
fumecheng-1617	177	17	for	for	ADP
fumecheng-1617	177	18	the	the	DET
fumecheng-1617	177	19	calculation	calculation	NOUN
fumecheng-1617	177	20	of	of	ADP
fumecheng-1617	177	21	small	small	ADJ
fumecheng-1617	177	22	elastic	elastic	ADJ
fumecheng-1617	177	23	strains	strain	NOUN
fumecheng-1617	177	24	but	but	CCONJ
fumecheng-1617	177	25	large	large	ADJ
fumecheng-1617	177	26	rotation	rotation	NOUN
fumecheng-1617	177	27	structural	structural	ADJ
fumecheng-1617	177	28	problems	problem	NOUN
fumecheng-1617	177	29	is	be	AUX
fumecheng-1617	177	30	summarized	summarize	VERB
fumecheng-1617	177	31	in	in	ADP
fumecheng-1617	177	32	fig	fig	NOUN
fumecheng-1617	177	33	.	.	PUNCT
fumecheng-1617	178	1	2	2	NUM
fumecheng-1617	179	1	and	and	CCONJ
fumecheng-1617	179	2	has	have	AUX
fumecheng-1617	179	3	been	be	AUX
fumecheng-1617	179	4	implemented	implement	VERB
fumecheng-1617	179	5	in	in	ADP
fumecheng-1617	179	6	the	the	DET
fumecheng-1617	179	7	commercial	commercial	ADJ
fumecheng-1617	179	8	fe	fe	PROPN
fumecheng-1617	179	9	software	software	NOUN
fumecheng-1617	179	10	package	package	NOUN
fumecheng-1617	179	11	abaqus	abaqus	NOUN
fumecheng-1617	179	12	using	use	VERB
fumecheng-1617	179	13	the	the	DET
fumecheng-1617	179	14	user	user	NOUN
fumecheng-1617	179	15	-	-	PUNCT
fumecheng-1617	179	16	defined	define	VERB
fumecheng-1617	179	17	-	-	PUNCT
fumecheng-1617	179	18	element	element	NOUN
fumecheng-1617	179	19	subroutine	subroutine	NOUN
fumecheng-1617	179	20	uel	uel	NOUN
fumecheng-1617	180	1	[	[	X
fumecheng-1617	180	2	15	15	NUM
fumecheng-1617	180	3	]	]	PUNCT
fumecheng-1617	180	4	.	.	PUNCT
fumecheng-1617	181	1	all	all	DET
fumecheng-1617	181	2	constant	constant	ADJ
fumecheng-1617	181	3	variables	variable	NOUN
fumecheng-1617	181	4	are	be	AUX
fumecheng-1617	181	5	computed	compute	VERB
fumecheng-1617	181	6	once	once	ADV
fumecheng-1617	181	7	and	and	CCONJ
fumecheng-1617	181	8	saved	save	VERB
fumecheng-1617	181	9	in	in	ADP
fumecheng-1617	181	10	the	the	DET
fumecheng-1617	181	11	initialization	initialization	NOUN
fumecheng-1617	181	12	step	step	NOUN
fumecheng-1617	181	13	.	.	PUNCT
fumecheng-1617	182	1	the	the	DET
fumecheng-1617	182	2	equilibrium	equilibrium	NOUN
fumecheng-1617	182	3	of	of	ADP
fumecheng-1617	182	4	the	the	DET
fumecheng-1617	182	5	structure	structure	NOUN
fumecheng-1617	182	6	in	in	ADP
fumecheng-1617	182	7	each	each	DET
fumecheng-1617	182	8	increment	increment	NOUN
fumecheng-1617	182	9	is	be	AUX
fumecheng-1617	182	10	computed	compute	VERB
fumecheng-1617	182	11	by	by	ADP
fumecheng-1617	182	12	an	an	DET
fumecheng-1617	182	13	iterative	iterative	NOUN
fumecheng-1617	182	14	process	process	NOUN
fumecheng-1617	182	15	.	.	PUNCT
fumecheng-1617	183	1	the	the	DET
fumecheng-1617	183	2	non	non	ADJ
fumecheng-1617	183	3	-	-	ADJ
fumecheng-1617	183	4	linear	linear	ADJ
fumecheng-1617	183	5	projector	projector	NOUN
fumecheng-1617	183	6	matrix	matrix	NOUN
fumecheng-1617	183	7	and	and	CCONJ
fumecheng-1617	183	8	the	the	DET
fumecheng-1617	183	9	element	element	ADJ
fumecheng-1617	183	10	rigid	rigid	ADJ
fumecheng-1617	183	11	-	-	PUNCT
fumecheng-1617	183	12	body	body	NOUN
fumecheng-1617	183	13	rotation	rotation	NOUN
fumecheng-1617	183	14	are	be	AUX
fumecheng-1617	183	15	estimated	estimate	VERB
fumecheng-1617	183	16	using	use	VERB
fumecheng-1617	183	17	the	the	DET
fumecheng-1617	183	18	global	global	ADJ
fumecheng-1617	183	19	nodal	nodal	NOUN
fumecheng-1617	183	20	positions	position	NOUN
fumecheng-1617	183	21	in	in	ADP
fumecheng-1617	183	22	each	each	DET
fumecheng-1617	183	23	iteration	iteration	NOUN
fumecheng-1617	183	24	step	step	NOUN
fumecheng-1617	183	25	.	.	PUNCT
fumecheng-1617	184	1	furthermore	furthermore	ADV
fumecheng-1617	184	2	,	,	PUNCT
fumecheng-1617	184	3	the	the	DET
fumecheng-1617	184	4	global	global	ADJ
fumecheng-1617	184	5	tangent	tangent	NOUN
fumecheng-1617	184	6	element	element	NOUN
fumecheng-1617	184	7	stiffness	stiffness	NOUN
fumecheng-1617	184	8	matrix	matrix	NOUN
fumecheng-1617	184	9	and	and	CCONJ
fumecheng-1617	184	10	the	the	DET
fumecheng-1617	184	11	global	global	ADJ
fumecheng-1617	184	12	internal	internal	ADJ
fumecheng-1617	184	13	element	element	NOUN
fumecheng-1617	184	14	forces	force	NOUN
fumecheng-1617	184	15	are	be	AUX
fumecheng-1617	184	16	computed	compute	VERB
fumecheng-1617	184	17	in	in	ADP
fumecheng-1617	184	18	order	order	NOUN
fumecheng-1617	184	19	to	to	PART
fumecheng-1617	184	20	assemble	assemble	VERB
fumecheng-1617	184	21	the	the	DET
fumecheng-1617	184	22	global	global	ADJ
fumecheng-1617	184	23	system	system	NOUN
fumecheng-1617	184	24	of	of	ADP
fumecheng-1617	184	25	equations	equation	NOUN
fumecheng-1617	184	26	for	for	ADP
fumecheng-1617	184	27	the	the	DET
fumecheng-1617	184	28	whole	whole	ADJ
fumecheng-1617	184	29	structure	structure	NOUN
fumecheng-1617	184	30	.	.	PUNCT
fumecheng-1617	185	1	the	the	DET
fumecheng-1617	185	2	solution	solution	NOUN
fumecheng-1617	185	3	in	in	ADP
fumecheng-1617	185	4	the	the	DET
fumecheng-1617	185	5	current	current	ADJ
fumecheng-1617	185	6	load	load	NOUN
fumecheng-1617	185	7	increment	increment	NOUN
fumecheng-1617	185	8	is	be	AUX
fumecheng-1617	185	9	obtained	obtain	VERB
fumecheng-1617	185	10	when	when	SCONJ
fumecheng-1617	185	11	the	the	DET
fumecheng-1617	185	12	convergence	convergence	NOUN
fumecheng-1617	185	13	condition	condition	NOUN
fumecheng-1617	185	14	is	be	AUX
fumecheng-1617	185	15	satisfied	satisfied	ADJ
fumecheng-1617	185	16	.	.	PUNCT
fumecheng-1617	186	1	236	236	NUM
fumecheng-1617	186	2	v.	v.	ADP
fumecheng-1617	186	3	a	a	DET
fumecheng-1617	186	4	nguyen	nguyen	NOUN
fumecheng-1617	186	5	,	,	PUNCT
fumecheng-1617	186	6	m.	m.	NOUN
fumecheng-1617	186	7	zehn	zehn	PROPN
fumecheng-1617	186	8	,	,	PUNCT
fumecheng-1617	186	9	d.	d.	PROPN
fumecheng-1617	186	10	marinković	marinković	PROPN
fumecheng-1617	186	11	fig	fig	PROPN
fumecheng-1617	186	12	.	.	PUNCT
fumecheng-1617	187	1	2	2	NUM
fumecheng-1617	188	1	the	the	DET
fumecheng-1617	188	2	presented	present	VERB
fumecheng-1617	188	3	co	co	ADJ
fumecheng-1617	188	4	-	-	ADJ
fumecheng-1617	188	5	rotational	rotational	ADJ
fumecheng-1617	188	6	fem	fem	NOUN
fumecheng-1617	188	7	with	with	ADP
fumecheng-1617	188	8	the	the	DET
fumecheng-1617	188	9	projector	projector	NOUN
fumecheng-1617	188	10	matrix	matrix	NOUN
fumecheng-1617	188	11	this	this	DET
fumecheng-1617	188	12	paper	paper	NOUN
fumecheng-1617	188	13	is	be	AUX
fumecheng-1617	188	14	focused	focus	VERB
fumecheng-1617	188	15	on	on	ADP
fumecheng-1617	188	16	the	the	DET
fumecheng-1617	188	17	geometrically	geometrically	ADV
fumecheng-1617	188	18	non	non	ADJ
fumecheng-1617	188	19	-	-	ADJ
fumecheng-1617	188	20	linear	linear	ADJ
fumecheng-1617	188	21	static	static	ADJ
fumecheng-1617	188	22	analysis	analysis	NOUN
fumecheng-1617	188	23	with	with	ADP
fumecheng-1617	188	24	linear	linear	ADJ
fumecheng-1617	188	25	elastic	elastic	ADJ
fumecheng-1617	188	26	material	material	NOUN
fumecheng-1617	188	27	.	.	PUNCT
fumecheng-1617	189	1	all	all	DET
fumecheng-1617	189	2	the	the	DET
fumecheng-1617	189	3	numerical	numerical	ADJ
fumecheng-1617	189	4	examples	example	NOUN
fumecheng-1617	189	5	are	be	AUX
fumecheng-1617	189	6	computed	compute	VERB
fumecheng-1617	189	7	in	in	ADP
fumecheng-1617	189	8	abaqus	abaqus	NOUN
fumecheng-1617	189	9	.	.	PUNCT
fumecheng-1617	190	1	the	the	DET
fumecheng-1617	190	2	results	result	NOUN
fumecheng-1617	190	3	obtained	obtain	VERB
fumecheng-1617	190	4	by	by	ADP
fumecheng-1617	190	5	the	the	DET
fumecheng-1617	190	6	presented	present	VERB
fumecheng-1617	190	7	cr	cr	NOUN
fumecheng-1617	190	8	formulation	formulation	NOUN
fumecheng-1617	190	9	are	be	AUX
fumecheng-1617	190	10	compared	compare	VERB
fumecheng-1617	190	11	to	to	ADP
fumecheng-1617	190	12	the	the	DET
fumecheng-1617	190	13	abaqus	abaqus	NOUN
fumecheng-1617	190	14	results	result	NOUN
fumecheng-1617	190	15	to	to	PART
fumecheng-1617	190	16	verify	verify	VERB
fumecheng-1617	190	17	the	the	DET
fumecheng-1617	190	18	accuracy	accuracy	NOUN
fumecheng-1617	190	19	and	and	CCONJ
fumecheng-1617	190	20	assess	assess	VERB
fumecheng-1617	190	21	the	the	DET
fumecheng-1617	190	22	efficiency	efficiency	NOUN
fumecheng-1617	190	23	of	of	ADP
fumecheng-1617	190	24	the	the	DET
fumecheng-1617	190	25	presented	present	VERB
fumecheng-1617	190	26	approach	approach	NOUN
fumecheng-1617	190	27	.	.	PUNCT
fumecheng-1617	191	1	an	an	DET
fumecheng-1617	191	2	efficient	efficient	ADJ
fumecheng-1617	191	3	co	co	ADJ
fumecheng-1617	191	4	-	-	ADJ
fumecheng-1617	191	5	rotational	rotational	ADJ
fumecheng-1617	191	6	fem	fem	NOUN
fumecheng-1617	191	7	formulation	formulation	NOUN
fumecheng-1617	191	8	using	use	VERB
fumecheng-1617	191	9	a	a	DET
fumecheng-1617	191	10	projector	projector	NOUN
fumecheng-1617	191	11	matrix	matrix	NOUN
fumecheng-1617	191	12	237	237	NUM
fumecheng-1617	191	13	4.1	4.1	NUM
fumecheng-1617	191	14	.	.	PUNCT
fumecheng-1617	192	1	a	a	DET
fumecheng-1617	192	2	clamped	clamp	VERB
fumecheng-1617	192	3	solid	solid	ADJ
fumecheng-1617	192	4	block	block	NOUN
fumecheng-1617	192	5	in	in	ADP
fumecheng-1617	192	6	the	the	DET
fumecheng-1617	192	7	first	first	ADJ
fumecheng-1617	192	8	example	example	NOUN
fumecheng-1617	192	9	,	,	PUNCT
fumecheng-1617	192	10	the	the	DET
fumecheng-1617	192	11	static	static	NOUN
fumecheng-1617	192	12	geometrically	geometrically	ADV
fumecheng-1617	192	13	non	non	ADJ
fumecheng-1617	192	14	-	-	ADJ
fumecheng-1617	192	15	linear	linear	ADJ
fumecheng-1617	192	16	analysis	analysis	NOUN
fumecheng-1617	192	17	of	of	ADP
fumecheng-1617	192	18	a	a	DET
fumecheng-1617	192	19	clamped	clamp	VERB
fumecheng-1617	192	20	solid	solid	ADJ
fumecheng-1617	192	21	block	block	NOUN
fumecheng-1617	192	22	exposed	expose	VERB
fumecheng-1617	192	23	to	to	ADP
fumecheng-1617	192	24	a	a	DET
fumecheng-1617	192	25	single	single	ADJ
fumecheng-1617	192	26	force	force	NOUN
fumecheng-1617	192	27	is	be	AUX
fumecheng-1617	192	28	represented	represent	VERB
fumecheng-1617	192	29	.	.	PUNCT
fumecheng-1617	193	1	the	the	DET
fumecheng-1617	193	2	solid	solid	ADJ
fumecheng-1617	193	3	block	block	NOUN
fumecheng-1617	193	4	,	,	PUNCT
fumecheng-1617	193	5	fig	fig	NOUN
fumecheng-1617	193	6	.	.	PUNCT
fumecheng-1617	194	1	3	3	NUM
fumecheng-1617	194	2	,	,	PUNCT
fumecheng-1617	194	3	is	be	AUX
fumecheng-1617	194	4	made	make	VERB
fumecheng-1617	194	5	of	of	ADP
fumecheng-1617	194	6	steel	steel	NOUN
fumecheng-1617	194	7	(	(	PUNCT
fumecheng-1617	194	8	e=210000	e=210000	ADJ
fumecheng-1617	194	9	n	n	CCONJ
fumecheng-1617	194	10	/	/	SYM
fumecheng-1617	194	11	mm2	mm2	PROPN
fumecheng-1617	194	12	and	and	CCONJ
fumecheng-1617	194	13	ν	ν	X
fumecheng-1617	194	14	=	=	SYM
fumecheng-1617	194	15	0.3	0.3	NUM
fumecheng-1617	194	16	)	)	PUNCT
fumecheng-1617	194	17	with	with	ADP
fumecheng-1617	194	18	the	the	DET
fumecheng-1617	194	19	dimensions	dimension	NOUN
fumecheng-1617	195	1	400×200×50	400×200×50	PRON
fumecheng-1617	196	1	mm	mm	INTJ
fumecheng-1617	196	2	.	.	PUNCT
fumecheng-1617	197	1	the	the	DET
fumecheng-1617	197	2	single	single	ADJ
fumecheng-1617	197	3	force	force	NOUN
fumecheng-1617	197	4	f	f	PROPN
fumecheng-1617	197	5	acts	act	VERB
fumecheng-1617	197	6	at	at	ADP
fumecheng-1617	197	7	point	point	NOUN
fumecheng-1617	197	8	p	p	NOUN
fumecheng-1617	197	9	in	in	ADP
fumecheng-1617	197	10	the	the	DET
fumecheng-1617	197	11	global	global	ADJ
fumecheng-1617	197	12	z	z	NOUN
fumecheng-1617	197	13	-	-	PUNCT
fumecheng-1617	197	14	direction	direction	NOUN
fumecheng-1617	197	15	and	and	CCONJ
fumecheng-1617	197	16	has	have	VERB
fumecheng-1617	197	17	the	the	DET
fumecheng-1617	197	18	magnitude	magnitude	NOUN
fumecheng-1617	197	19	of	of	ADP
fumecheng-1617	197	20	1.5×107	1.5×107	NUM
fumecheng-1617	197	21	n.	n.	NOUN
fumecheng-1617	197	22	the	the	DET
fumecheng-1617	197	23	fe	fe	PROPN
fumecheng-1617	197	24	mesh	mesh	NOUN
fumecheng-1617	197	25	contains	contain	VERB
fumecheng-1617	197	26	1420	1420	NUM
fumecheng-1617	197	27	linear	linear	ADJ
fumecheng-1617	197	28	tetrahedral	tetrahedral	ADJ
fumecheng-1617	197	29	elements	element	NOUN
fumecheng-1617	197	30	c3d4	c3d4	NOUN
fumecheng-1617	197	31	.	.	PUNCT
fumecheng-1617	198	1	the	the	DET
fumecheng-1617	198	2	resulting	result	VERB
fumecheng-1617	198	3	deformation	deformation	NOUN
fumecheng-1617	198	4	is	be	AUX
fumecheng-1617	198	5	bending	bend	VERB
fumecheng-1617	198	6	-	-	PUNCT
fumecheng-1617	198	7	dominated	dominate	VERB
fumecheng-1617	198	8	but	but	CCONJ
fumecheng-1617	198	9	also	also	ADV
fumecheng-1617	198	10	accompanied	accompany	VERB
fumecheng-1617	198	11	by	by	ADP
fumecheng-1617	198	12	torsion	torsion	NOUN
fumecheng-1617	198	13	.	.	PUNCT
fumecheng-1617	199	1	fig	fig	NOUN
fumecheng-1617	199	2	.	.	PUNCT
fumecheng-1617	200	1	3	3	NUM
fumecheng-1617	200	2	geometry	geometry	NOUN
fumecheng-1617	200	3	and	and	CCONJ
fumecheng-1617	200	4	boundary	boundary	ADJ
fumecheng-1617	200	5	conditions	condition	NOUN
fumecheng-1617	200	6	of	of	ADP
fumecheng-1617	200	7	the	the	DET
fumecheng-1617	200	8	solid	solid	ADJ
fumecheng-1617	200	9	block	block	NOUN
fumecheng-1617	200	10	(	(	PUNCT
fumecheng-1617	200	11	left	left	ADV
fumecheng-1617	200	12	)	)	PUNCT
fumecheng-1617	200	13	,	,	PUNCT
fumecheng-1617	200	14	fe	fe	X
fumecheng-1617	200	15	mesh	mesh	NOUN
fumecheng-1617	200	16	with	with	ADP
fumecheng-1617	200	17	1420	1420	NUM
fumecheng-1617	200	18	c3d4elements	c3d4element	NOUN
fumecheng-1617	200	19	(	(	PUNCT
fumecheng-1617	200	20	right	right	ADJ
fumecheng-1617	200	21	)	)	PUNCT
fumecheng-1617	200	22	in	in	ADP
fumecheng-1617	200	23	fig	fig	NOUN
fumecheng-1617	200	24	.	.	PUNCT
fumecheng-1617	201	1	4	4	NUM
fumecheng-1617	201	2	,	,	PUNCT
fumecheng-1617	201	3	the	the	DET
fumecheng-1617	201	4	development	development	NOUN
fumecheng-1617	201	5	of	of	ADP
fumecheng-1617	201	6	global	global	ADJ
fumecheng-1617	201	7	displacements	displacement	NOUN
fumecheng-1617	201	8	of	of	ADP
fumecheng-1617	201	9	point	point	NOUN
fumecheng-1617	201	10	p	p	NOUN
fumecheng-1617	201	11	with	with	ADP
fumecheng-1617	201	12	the	the	DET
fumecheng-1617	201	13	increasing	increase	VERB
fumecheng-1617	201	14	force	force	NOUN
fumecheng-1617	201	15	is	be	AUX
fumecheng-1617	201	16	presented	present	VERB
fumecheng-1617	201	17	.	.	PUNCT
fumecheng-1617	202	1	a	a	DET
fumecheng-1617	202	2	very	very	ADV
fumecheng-1617	202	3	good	good	ADJ
fumecheng-1617	202	4	agreement	agreement	NOUN
fumecheng-1617	202	5	of	of	ADP
fumecheng-1617	202	6	the	the	DET
fumecheng-1617	202	7	obtained	obtain	VERB
fumecheng-1617	202	8	results	result	NOUN
fumecheng-1617	202	9	by	by	ADP
fumecheng-1617	202	10	the	the	DET
fumecheng-1617	202	11	presented	present	VERB
fumecheng-1617	202	12	cr	cr	NOUN
fumecheng-1617	202	13	formulation	formulation	NOUN
fumecheng-1617	202	14	and	and	CCONJ
fumecheng-1617	202	15	those	those	PRON
fumecheng-1617	202	16	from	from	ADP
fumecheng-1617	202	17	abaqus	abaqus	NOUN
fumecheng-1617	202	18	is	be	AUX
fumecheng-1617	202	19	observable	observable	ADJ
fumecheng-1617	202	20	.	.	PUNCT
fumecheng-1617	203	1	in	in	ADP
fumecheng-1617	203	2	addition	addition	NOUN
fumecheng-1617	203	3	,	,	PUNCT
fumecheng-1617	203	4	the	the	DET
fumecheng-1617	203	5	displacements	displacement	NOUN
fumecheng-1617	203	6	in	in	ADP
fumecheng-1617	203	7	x-	x-	PROPN
fumecheng-1617	203	8	,	,	PUNCT
fumecheng-1617	203	9	yand	yand	PROPN
fumecheng-1617	203	10	z	z	NOUN
fumecheng-1617	203	11	-	-	PUNCT
fumecheng-1617	203	12	direction	direction	NOUN
fumecheng-1617	203	13	of	of	ADP
fumecheng-1617	203	14	point	point	NOUN
fumecheng-1617	203	15	p	p	NOUN
fumecheng-1617	203	16	are	be	AUX
fumecheng-1617	203	17	given	give	VERB
fumecheng-1617	203	18	in	in	ADP
fumecheng-1617	203	19	tab	tab	NOUN
fumecheng-1617	203	20	.	.	PUNCT
fumecheng-1617	204	1	1	1	X
fumecheng-1617	204	2	.	.	X
fumecheng-1617	205	1	the	the	DET
fumecheng-1617	205	2	column	column	NOUN
fumecheng-1617	205	3	entitled	entitle	VERB
fumecheng-1617	205	4	“	"	PUNCT
fumecheng-1617	205	5	error	error	NOUN
fumecheng-1617	205	6	”	"	PUNCT
fumecheng-1617	205	7	gives	give	VERB
fumecheng-1617	205	8	the	the	DET
fumecheng-1617	205	9	relative	relative	ADJ
fumecheng-1617	205	10	difference	difference	NOUN
fumecheng-1617	205	11	with	with	ADP
fumecheng-1617	205	12	respect	respect	NOUN
fumecheng-1617	205	13	to	to	ADP
fumecheng-1617	205	14	the	the	DET
fumecheng-1617	205	15	abaqus	abaqus	NOUN
fumecheng-1617	205	16	solution	solution	NOUN
fumecheng-1617	205	17	.	.	PUNCT
fumecheng-1617	206	1	it	it	PRON
fumecheng-1617	206	2	should	should	AUX
fumecheng-1617	206	3	be	be	AUX
fumecheng-1617	206	4	emphasized	emphasize	VERB
fumecheng-1617	206	5	that	that	SCONJ
fumecheng-1617	206	6	this	this	DET
fumecheng-1617	206	7	example	example	NOUN
fumecheng-1617	206	8	involves	involve	VERB
fumecheng-1617	206	9	the	the	DET
fumecheng-1617	206	10	maximum	maximum	ADJ
fumecheng-1617	206	11	principal	principal	ADJ
fumecheng-1617	206	12	logarithmic	logarithmic	ADJ
fumecheng-1617	206	13	strains	strain	NOUN
fumecheng-1617	206	14	of	of	ADP
fumecheng-1617	206	15	20	20	NUM
fumecheng-1617	206	16	%	%	NOUN
fumecheng-1617	206	17	.	.	PUNCT
fumecheng-1617	207	1	fig	fig	NOUN
fumecheng-1617	207	2	.	.	PUNCT
fumecheng-1617	208	1	4	4	NUM
fumecheng-1617	208	2	displacements	displacement	NOUN
fumecheng-1617	208	3	in	in	ADP
fumecheng-1617	208	4	three	three	NUM
fumecheng-1617	208	5	directions	direction	NOUN
fumecheng-1617	208	6	of	of	ADP
fumecheng-1617	208	7	the	the	DET
fumecheng-1617	208	8	solid	solid	ADJ
fumecheng-1617	208	9	block	block	NOUN
fumecheng-1617	208	10	for	for	ADP
fumecheng-1617	208	11	the	the	DET
fumecheng-1617	208	12	load	load	NOUN
fumecheng-1617	208	13	case	case	NOUN
fumecheng-1617	208	14	1.5×107	1.5×107	NUM
fumecheng-1617	208	15	n	n	CCONJ
fumecheng-1617	208	16	(	(	PUNCT
fumecheng-1617	208	17	left	left	ADJ
fumecheng-1617	208	18	)	)	PUNCT
fumecheng-1617	208	19	,	,	PUNCT
fumecheng-1617	208	20	deformation	deformation	NOUN
fumecheng-1617	208	21	state	state	NOUN
fumecheng-1617	208	22	with	with	ADP
fumecheng-1617	208	23	deformation	deformation	NOUN
fumecheng-1617	208	24	scale	scale	NOUN
fumecheng-1617	208	25	factor	factor	NOUN
fumecheng-1617	208	26	1	1	NUM
fumecheng-1617	208	27	(	(	PUNCT
fumecheng-1617	208	28	right	right	NOUN
fumecheng-1617	208	29	)	)	PUNCT
fumecheng-1617	208	30	238	238	NUM
fumecheng-1617	208	31	v.	v.	ADP
fumecheng-1617	208	32	a	a	DET
fumecheng-1617	208	33	nguyen	nguyen	NOUN
fumecheng-1617	208	34	,	,	PUNCT
fumecheng-1617	208	35	m.	m.	NOUN
fumecheng-1617	208	36	zehn	zehn	PROPN
fumecheng-1617	208	37	,	,	PUNCT
fumecheng-1617	208	38	d.	d.	PROPN
fumecheng-1617	208	39	marinković	marinković	PROPN
fumecheng-1617	208	40	to	to	PART
fumecheng-1617	208	41	assess	assess	VERB
fumecheng-1617	208	42	the	the	DET
fumecheng-1617	208	43	efficiency	efficiency	NOUN
fumecheng-1617	208	44	of	of	ADP
fumecheng-1617	208	45	this	this	DET
fumecheng-1617	208	46	formulation	formulation	NOUN
fumecheng-1617	208	47	,	,	PUNCT
fumecheng-1617	208	48	the	the	DET
fumecheng-1617	208	49	number	number	NOUN
fumecheng-1617	208	50	of	of	ADP
fumecheng-1617	208	51	iteration	iteration	NOUN
fumecheng-1617	208	52	steps	step	NOUN
fumecheng-1617	208	53	used	use	VERB
fumecheng-1617	208	54	by	by	ADP
fumecheng-1617	208	55	abaqus	abaqus	NOUN
fumecheng-1617	208	56	as	as	ADV
fumecheng-1617	208	57	well	well	ADV
fumecheng-1617	208	58	as	as	ADP
fumecheng-1617	208	59	by	by	ADP
fumecheng-1617	208	60	the	the	DET
fumecheng-1617	208	61	cr	cr	PROPN
fumecheng-1617	208	62	formulation	formulation	NOUN
fumecheng-1617	208	63	is	be	AUX
fumecheng-1617	208	64	also	also	ADV
fumecheng-1617	208	65	listed	list	VERB
fumecheng-1617	208	66	in	in	ADP
fumecheng-1617	208	67	tab	tab	NOUN
fumecheng-1617	208	68	.	.	PUNCT
fumecheng-1617	209	1	1	1	X
fumecheng-1617	209	2	.	.	X
fumecheng-1617	209	3	the	the	DET
fumecheng-1617	209	4	geometrically	geometrically	ADV
fumecheng-1617	209	5	nonlinear	nonlinear	ADJ
fumecheng-1617	209	6	analysis	analysis	NOUN
fumecheng-1617	209	7	was	be	AUX
fumecheng-1617	209	8	performed	perform	VERB
fumecheng-1617	209	9	in	in	ADP
fumecheng-1617	209	10	abaqus	abaqus	NOUN
fumecheng-1617	209	11	once	once	ADV
fumecheng-1617	209	12	setting	set	VERB
fumecheng-1617	209	13	the	the	DET
fumecheng-1617	209	14	automatic	automatic	ADJ
fumecheng-1617	209	15	load	load	NOUN
fumecheng-1617	209	16	increment	increment	NOUN
fumecheng-1617	209	17	size	size	NOUN
fumecheng-1617	209	18	(	(	PUNCT
fumecheng-1617	209	19	initial	initial	ADJ
fumecheng-1617	209	20	increment	increment	NOUN
fumecheng-1617	209	21	size	size	NOUN
fumecheng-1617	209	22	:	:	PUNCT
fumecheng-1617	209	23	0.2	0.2	NUM
fumecheng-1617	209	24	,	,	PUNCT
fumecheng-1617	209	25	minimum	minimum	ADJ
fumecheng-1617	209	26	size	size	NOUN
fumecheng-1617	209	27	:	:	PUNCT
fumecheng-1617	209	28	10	10	NUM
fumecheng-1617	209	29	-	-	SYM
fumecheng-1617	209	30	5	5	NUM
fumecheng-1617	209	31	,	,	PUNCT
fumecheng-1617	209	32	maximum	maximum	ADJ
fumecheng-1617	209	33	size	size	NOUN
fumecheng-1617	209	34	1	1	NUM
fumecheng-1617	209	35	)	)	PUNCT
fumecheng-1617	209	36	and	and	CCONJ
fumecheng-1617	209	37	then	then	ADV
fumecheng-1617	209	38	again	again	ADV
fumecheng-1617	209	39	with	with	ADP
fumecheng-1617	209	40	the	the	DET
fumecheng-1617	209	41	fixed	fix	VERB
fumecheng-1617	209	42	load	load	NOUN
fumecheng-1617	209	43	increment	increment	NOUN
fumecheng-1617	209	44	size	size	NOUN
fumecheng-1617	209	45	of	of	ADP
fumecheng-1617	209	46	0.4	0.4	NUM
fumecheng-1617	209	47	.	.	PUNCT
fumecheng-1617	210	1	abaqus	abaqus	NOUN
fumecheng-1617	210	2	needed	need	VERB
fumecheng-1617	210	3	38	38	NUM
fumecheng-1617	210	4	iterations	iteration	NOUN
fumecheng-1617	210	5	with	with	ADP
fumecheng-1617	210	6	the	the	DET
fumecheng-1617	210	7	automatic	automatic	ADJ
fumecheng-1617	210	8	increment	increment	NOUN
fumecheng-1617	210	9	size	size	NOUN
fumecheng-1617	210	10	but	but	CCONJ
fumecheng-1617	210	11	did	do	AUX
fumecheng-1617	210	12	not	not	PART
fumecheng-1617	210	13	converge	converge	VERB
fumecheng-1617	210	14	with	with	ADP
fumecheng-1617	210	15	the	the	DET
fumecheng-1617	210	16	fixed	fix	VERB
fumecheng-1617	210	17	increment	increment	NOUN
fumecheng-1617	210	18	size	size	NOUN
fumecheng-1617	210	19	used	use	VERB
fumecheng-1617	210	20	.	.	PUNCT
fumecheng-1617	211	1	in	in	ADP
fumecheng-1617	211	2	contrast	contrast	NOUN
fumecheng-1617	211	3	,	,	PUNCT
fumecheng-1617	211	4	the	the	DET
fumecheng-1617	211	5	cr	cr	PROPN
fumecheng-1617	211	6	formulation	formulation	NOUN
fumecheng-1617	211	7	has	have	AUX
fumecheng-1617	211	8	converged	converge	VERB
fumecheng-1617	211	9	after	after	ADP
fumecheng-1617	211	10	24	24	NUM
fumecheng-1617	211	11	iterations	iteration	NOUN
fumecheng-1617	211	12	in	in	ADP
fumecheng-1617	211	13	the	the	DET
fumecheng-1617	211	14	case	case	NOUN
fumecheng-1617	211	15	of	of	ADP
fumecheng-1617	211	16	automatic	automatic	ADJ
fumecheng-1617	211	17	increment	increment	NOUN
fumecheng-1617	211	18	size	size	NOUN
fumecheng-1617	211	19	and	and	CCONJ
fumecheng-1617	211	20	after	after	ADP
fumecheng-1617	211	21	only	only	ADV
fumecheng-1617	211	22	12	12	NUM
fumecheng-1617	211	23	iterations	iteration	NOUN
fumecheng-1617	211	24	with	with	ADP
fumecheng-1617	211	25	the	the	DET
fumecheng-1617	211	26	fixed	fix	VERB
fumecheng-1617	211	27	increment	increment	NOUN
fumecheng-1617	211	28	size	size	NOUN
fumecheng-1617	211	29	.	.	PUNCT
fumecheng-1617	212	1	the	the	DET
fumecheng-1617	212	2	result	result	NOUN
fumecheng-1617	212	3	is	be	AUX
fumecheng-1617	212	4	reduction	reduction	NOUN
fumecheng-1617	212	5	of	of	ADP
fumecheng-1617	212	6	computational	computational	ADJ
fumecheng-1617	212	7	time	time	NOUN
fumecheng-1617	212	8	of	of	ADP
fumecheng-1617	212	9	about	about	ADV
fumecheng-1617	212	10	68	68	NUM
fumecheng-1617	212	11	%	%	NOUN
fumecheng-1617	212	12	.	.	PUNCT
fumecheng-1617	213	1	it	it	PRON
fumecheng-1617	213	2	can	can	AUX
fumecheng-1617	213	3	be	be	AUX
fumecheng-1617	213	4	noted	note	VERB
fumecheng-1617	213	5	that	that	SCONJ
fumecheng-1617	213	6	the	the	DET
fumecheng-1617	213	7	presented	present	VERB
fumecheng-1617	213	8	approach	approach	NOUN
fumecheng-1617	213	9	also	also	ADV
fumecheng-1617	213	10	allows	allow	VERB
fumecheng-1617	213	11	for	for	ADP
fumecheng-1617	213	12	relatively	relatively	ADV
fumecheng-1617	213	13	large	large	ADJ
fumecheng-1617	213	14	increments	increment	NOUN
fumecheng-1617	213	15	.	.	PUNCT
fumecheng-1617	214	1	table	table	NOUN
fumecheng-1617	214	2	1	1	NUM
fumecheng-1617	214	3	results	result	NOUN
fumecheng-1617	214	4	for	for	ADP
fumecheng-1617	214	5	the	the	DET
fumecheng-1617	214	6	clamped	clamp	VERB
fumecheng-1617	214	7	solid	solid	ADJ
fumecheng-1617	214	8	block	block	NOUN
fumecheng-1617	214	9	cases	case	NOUN
fumecheng-1617	214	10	abaqus	abaqus	PROPN
fumecheng-1617	214	11	cr	cr	NOUN
fumecheng-1617	214	12	-	-	PUNCT
fumecheng-1617	214	13	fem	fem	NOUN
fumecheng-1617	214	14	error	error	NOUN
fumecheng-1617	214	15	x	x	X
fumecheng-1617	214	16	direction	direction	NOUN
fumecheng-1617	214	17	-30.78	-30.78	INTJ
fumecheng-1617	214	18	-30.70	-30.70	NOUN
fumecheng-1617	214	19	0,3	0,3	NUM
fumecheng-1617	214	20	%	%	NOUN
fumecheng-1617	214	21	y	y	NOUN
fumecheng-1617	214	22	direction	direction	NOUN
fumecheng-1617	214	23	-132.12	-132.12	PROPN
fumecheng-1617	214	24	-132.81	-132.81	PROPN
fumecheng-1617	214	25	0.5	0.5	NUM
fumecheng-1617	214	26	%	%	NOUN
fumecheng-1617	214	27	z	z	NOUN
fumecheng-1617	214	28	direction	direction	NOUN
fumecheng-1617	214	29	262.28	262.28	NUM
fumecheng-1617	214	30	261.34	261.34	NUM
fumecheng-1617	214	31	0.4	0.4	NUM
fumecheng-1617	214	32	%	%	NOUN
fumecheng-1617	214	33	automatic	automatic	ADJ
fumecheng-1617	214	34	38	38	NUM
fumecheng-1617	214	35	iter	iter	NOUN
fumecheng-1617	214	36	.	.	PUNCT
fumecheng-1617	215	1	24	24	NUM
fumecheng-1617	215	2	iter	iter	NOUN
fumecheng-1617	215	3	.	.	PUNCT
fumecheng-1617	216	1	direct	direct	ADJ
fumecheng-1617	216	2	fails	fail	VERB
fumecheng-1617	216	3	12	12	NUM
fumecheng-1617	216	4	iter	iter	NOUN
fumecheng-1617	216	5	.	.	PUNCT
fumecheng-1617	217	1	max	max	PROPN
fumecheng-1617	217	2	.	.	PROPN
fumecheng-1617	217	3	log	log	PROPN
fumecheng-1617	217	4	.	.	PUNCT
fumecheng-1617	218	1	strains	strain	VERB
fumecheng-1617	218	2	20	20	NUM
fumecheng-1617	218	3	%	%	NOUN
fumecheng-1617	218	4	20	20	NUM
fumecheng-1617	218	5	%	%	NOUN
fumecheng-1617	218	6	4.2	4.2	NUM
fumecheng-1617	218	7	.	.	PUNCT
fumecheng-1617	219	1	a	a	DET
fumecheng-1617	219	2	three	three	NUM
fumecheng-1617	219	3	dimensional	dimensional	ADJ
fumecheng-1617	219	4	curved	curved	ADJ
fumecheng-1617	219	5	beam	beam	NOUN
fumecheng-1617	219	6	in	in	ADP
fumecheng-1617	219	7	the	the	DET
fumecheng-1617	219	8	second	second	ADJ
fumecheng-1617	219	9	example	example	NOUN
fumecheng-1617	219	10	,	,	PUNCT
fumecheng-1617	219	11	a	a	DET
fumecheng-1617	219	12	three	three	NUM
fumecheng-1617	219	13	dimensional	dimensional	ADJ
fumecheng-1617	219	14	curved	curved	ADJ
fumecheng-1617	219	15	beam	beam	NOUN
fumecheng-1617	219	16	with	with	ADP
fumecheng-1617	219	17	a	a	DET
fumecheng-1617	219	18	single	single	ADJ
fumecheng-1617	219	19	force	force	NOUN
fumecheng-1617	219	20	f	f	PROPN
fumecheng-1617	219	21	of	of	ADP
fumecheng-1617	219	22	5.5×105	5.5×105	PROPN
fumecheng-1617	219	23	n	n	NOUN
fumecheng-1617	219	24	at	at	ADP
fumecheng-1617	219	25	point	point	NOUN
fumecheng-1617	219	26	p	p	NOUN
fumecheng-1617	219	27	is	be	AUX
fumecheng-1617	219	28	considered	consider	VERB
fumecheng-1617	219	29	.	.	PUNCT
fumecheng-1617	220	1	the	the	DET
fumecheng-1617	220	2	geometry	geometry	NOUN
fumecheng-1617	220	3	and	and	CCONJ
fumecheng-1617	220	4	the	the	DET
fumecheng-1617	220	5	boundary	boundary	ADJ
fumecheng-1617	220	6	conditions	condition	NOUN
fumecheng-1617	220	7	are	be	AUX
fumecheng-1617	220	8	given	give	VERB
fumecheng-1617	220	9	in	in	ADP
fumecheng-1617	220	10	fig	fig	NOUN
fumecheng-1617	220	11	.	.	PUNCT
fumecheng-1617	221	1	5	5	X
fumecheng-1617	221	2	.	.	PUNCT
fumecheng-1617	221	3	the	the	DET
fumecheng-1617	221	4	curved	curved	ADJ
fumecheng-1617	221	5	beam	beam	NOUN
fumecheng-1617	221	6	is	be	AUX
fumecheng-1617	221	7	made	make	VERB
fumecheng-1617	221	8	of	of	ADP
fumecheng-1617	221	9	steel	steel	NOUN
fumecheng-1617	221	10	(	(	PUNCT
fumecheng-1617	221	11	e	e	NOUN
fumecheng-1617	221	12	=	=	SYM
fumecheng-1617	221	13	21000	21000	NUM
fumecheng-1617	221	14	n	n	CCONJ
fumecheng-1617	221	15	/	/	SYM
fumecheng-1617	221	16	mm2	mm2	PROPN
fumecheng-1617	221	17	and	and	CCONJ
fumecheng-1617	221	18	ν	ν	X
fumecheng-1617	221	19	=	=	SYM
fumecheng-1617	221	20	0.3	0.3	NUM
fumecheng-1617	221	21	)	)	PUNCT
fumecheng-1617	221	22	with	with	ADP
fumecheng-1617	221	23	the	the	DET
fumecheng-1617	221	24	arc	arc	NOUN
fumecheng-1617	221	25	length	length	NOUN
fumecheng-1617	221	26	of	of	ADP
fumecheng-1617	221	27	0.5×π×450	0.5×π×450	PROPN
fumecheng-1617	221	28	mm	mm	INTJ
fumecheng-1617	221	29	.	.	PUNCT
fumecheng-1617	222	1	the	the	DET
fumecheng-1617	222	2	cross	cross	NOUN
fumecheng-1617	222	3	-	-	NOUN
fumecheng-1617	222	4	section	section	NOUN
fumecheng-1617	222	5	has	have	VERB
fumecheng-1617	222	6	dimensions	dimension	NOUN
fumecheng-1617	222	7	of	of	ADP
fumecheng-1617	222	8	40	40	NUM
fumecheng-1617	222	9	mm	mm	NOUN
fumecheng-1617	222	10	×	×	NOUN
fumecheng-1617	222	11	40	40	NUM
fumecheng-1617	222	12	mm	mm	NOUN
fumecheng-1617	222	13	.	.	PUNCT
fumecheng-1617	223	1	the	the	DET
fumecheng-1617	223	2	curved	curved	ADJ
fumecheng-1617	223	3	beam	beam	NOUN
fumecheng-1617	223	4	is	be	AUX
fumecheng-1617	223	5	clamped	clamp	VERB
fumecheng-1617	223	6	on	on	ADP
fumecheng-1617	223	7	a	a	DET
fumecheng-1617	223	8	one	one	NUM
fumecheng-1617	223	9	end	end	NOUN
fumecheng-1617	223	10	and	and	CCONJ
fumecheng-1617	223	11	discretized	discretize	VERB
fumecheng-1617	223	12	by	by	ADP
fumecheng-1617	223	13	3652	3652	NUM
fumecheng-1617	223	14	linear	linear	ADJ
fumecheng-1617	223	15	tetrahedral	tetrahedral	ADJ
fumecheng-1617	223	16	elements	element	NOUN
fumecheng-1617	223	17	c3d4	c3d4	NOUN
fumecheng-1617	223	18	.	.	PROPN
fumecheng-1617	224	1	again	again	ADV
fumecheng-1617	224	2	,	,	PUNCT
fumecheng-1617	224	3	the	the	DET
fumecheng-1617	224	4	deformational	deformational	ADJ
fumecheng-1617	224	5	behavior	behavior	NOUN
fumecheng-1617	224	6	can	can	AUX
fumecheng-1617	224	7	be	be	AUX
fumecheng-1617	224	8	seen	see	VERB
fumecheng-1617	224	9	as	as	ADP
fumecheng-1617	224	10	a	a	DET
fumecheng-1617	224	11	combination	combination	NOUN
fumecheng-1617	224	12	of	of	ADP
fumecheng-1617	224	13	bending	bending	NOUN
fumecheng-1617	224	14	and	and	CCONJ
fumecheng-1617	224	15	torsion	torsion	NOUN
fumecheng-1617	224	16	.	.	PUNCT
fumecheng-1617	225	1	to	to	PART
fumecheng-1617	225	2	evaluate	evaluate	VERB
fumecheng-1617	225	3	the	the	DET
fumecheng-1617	225	4	results	result	NOUN
fumecheng-1617	225	5	,	,	PUNCT
fumecheng-1617	225	6	the	the	DET
fumecheng-1617	225	7	displacements	displacement	NOUN
fumecheng-1617	225	8	of	of	ADP
fumecheng-1617	225	9	point	point	NOUN
fumecheng-1617	225	10	p	p	NOUN
fumecheng-1617	225	11	from	from	ADP
fumecheng-1617	225	12	the	the	DET
fumecheng-1617	225	13	geometrically	geometrically	ADV
fumecheng-1617	225	14	non	non	ADJ
fumecheng-1617	225	15	-	-	ADJ
fumecheng-1617	225	16	linear	linear	ADJ
fumecheng-1617	225	17	calculations	calculation	NOUN
fumecheng-1617	225	18	in	in	ADP
fumecheng-1617	225	19	abaqus	abaqus	NOUN
fumecheng-1617	225	20	and	and	CCONJ
fumecheng-1617	225	21	from	from	ADP
fumecheng-1617	225	22	this	this	DET
fumecheng-1617	225	23	cr	cr	NOUN
fumecheng-1617	225	24	formulation	formulation	NOUN
fumecheng-1617	225	25	are	be	AUX
fumecheng-1617	225	26	given	give	VERB
fumecheng-1617	225	27	in	in	ADP
fumecheng-1617	225	28	fig	fig	NOUN
fumecheng-1617	225	29	.	.	PUNCT
fumecheng-1617	226	1	6	6	NUM
fumecheng-1617	226	2	.	.	X
fumecheng-1617	226	3	a	a	DET
fumecheng-1617	226	4	very	very	ADV
fumecheng-1617	226	5	good	good	ADJ
fumecheng-1617	226	6	agreement	agreement	NOUN
fumecheng-1617	226	7	is	be	AUX
fumecheng-1617	226	8	obvious	obvious	ADJ
fumecheng-1617	226	9	in	in	ADP
fumecheng-1617	226	10	this	this	DET
fumecheng-1617	226	11	case	case	NOUN
fumecheng-1617	226	12	as	as	ADV
fumecheng-1617	226	13	well	well	ADV
fumecheng-1617	226	14	.	.	PUNCT
fumecheng-1617	227	1	the	the	DET
fumecheng-1617	227	2	detailed	detailed	ADJ
fumecheng-1617	227	3	values	value	NOUN
fumecheng-1617	227	4	are	be	AUX
fumecheng-1617	227	5	given	give	VERB
fumecheng-1617	227	6	in	in	ADP
fumecheng-1617	227	7	tab	tab	NOUN
fumecheng-1617	227	8	.	.	PUNCT
fumecheng-1617	228	1	2	2	NUM
fumecheng-1617	228	2	.	.	X
fumecheng-1617	228	3	fig	fig	NOUN
fumecheng-1617	228	4	.	.	PUNCT
fumecheng-1617	229	1	5	5	NUM
fumecheng-1617	229	2	geometry	geometry	NOUN
fumecheng-1617	229	3	and	and	CCONJ
fumecheng-1617	229	4	boundary	boundary	ADJ
fumecheng-1617	229	5	conditions	condition	NOUN
fumecheng-1617	229	6	of	of	ADP
fumecheng-1617	229	7	the	the	DET
fumecheng-1617	229	8	curved	curved	ADJ
fumecheng-1617	229	9	beam	beam	NOUN
fumecheng-1617	229	10	for	for	ADP
fumecheng-1617	229	11	the	the	DET
fumecheng-1617	229	12	load	load	NOUN
fumecheng-1617	229	13	case	case	NOUN
fumecheng-1617	229	14	5.5×105	5.5×105	NUM
fumecheng-1617	229	15	n	n	CCONJ
fumecheng-1617	229	16	(	(	PUNCT
fumecheng-1617	229	17	left	left	ADJ
fumecheng-1617	229	18	)	)	PUNCT
fumecheng-1617	229	19	,	,	PUNCT
fumecheng-1617	229	20	mesh	mesh	VERB
fumecheng-1617	229	21	with	with	ADP
fumecheng-1617	229	22	3652	3652	NUM
fumecheng-1617	229	23	c3d4	c3d4	PROPN
fumecheng-1617	229	24	elements	element	NOUN
fumecheng-1617	229	25	(	(	PUNCT
fumecheng-1617	229	26	right	right	ADJ
fumecheng-1617	229	27	)	)	PUNCT
fumecheng-1617	229	28	an	an	DET
fumecheng-1617	229	29	efficient	efficient	ADJ
fumecheng-1617	229	30	co	co	ADJ
fumecheng-1617	229	31	-	-	ADJ
fumecheng-1617	229	32	rotational	rotational	ADJ
fumecheng-1617	229	33	fem	fem	NOUN
fumecheng-1617	229	34	formulation	formulation	NOUN
fumecheng-1617	229	35	using	use	VERB
fumecheng-1617	229	36	a	a	DET
fumecheng-1617	229	37	projector	projector	NOUN
fumecheng-1617	229	38	matrix	matrix	NOUN
fumecheng-1617	229	39	239	239	NUM
fumecheng-1617	229	40	fig	fig	NOUN
fumecheng-1617	229	41	.	.	PUNCT
fumecheng-1617	230	1	6	6	NUM
fumecheng-1617	230	2	displacements	displacement	NOUN
fumecheng-1617	230	3	[	[	X
fumecheng-1617	230	4	mm	mm	X
fumecheng-1617	230	5	]	]	X
fumecheng-1617	230	6	in	in	ADP
fumecheng-1617	230	7	three	three	NUM
fumecheng-1617	230	8	directions	direction	NOUN
fumecheng-1617	230	9	of	of	ADP
fumecheng-1617	230	10	the	the	DET
fumecheng-1617	230	11	curved	curved	ADJ
fumecheng-1617	230	12	beam	beam	NOUN
fumecheng-1617	230	13	with	with	ADP
fumecheng-1617	230	14	3652	3652	NUM
fumecheng-1617	230	15	c3d4	c3d4	PROPN
fumecheng-1617	230	16	elements	element	NOUN
fumecheng-1617	230	17	(	(	PUNCT
fumecheng-1617	230	18	left	left	ADV
fumecheng-1617	230	19	)	)	PUNCT
fumecheng-1617	230	20	,	,	PUNCT
fumecheng-1617	230	21	deformation	deformation	NOUN
fumecheng-1617	230	22	state	state	NOUN
fumecheng-1617	230	23	with	with	ADP
fumecheng-1617	230	24	deformation	deformation	NOUN
fumecheng-1617	230	25	scale	scale	NOUN
fumecheng-1617	230	26	factor	factor	NOUN
fumecheng-1617	230	27	1	1	NUM
fumecheng-1617	230	28	(	(	PUNCT
fumecheng-1617	230	29	right	right	ADV
fumecheng-1617	230	30	)	)	PUNCT
fumecheng-1617	230	31	the	the	DET
fumecheng-1617	230	32	maximal	maximal	ADJ
fumecheng-1617	230	33	error	error	NOUN
fumecheng-1617	230	34	in	in	ADP
fumecheng-1617	230	35	the	the	DET
fumecheng-1617	230	36	displacement	displacement	ADJ
fumecheng-1617	230	37	components	component	NOUN
fumecheng-1617	230	38	is	be	AUX
fumecheng-1617	230	39	in	in	ADP
fumecheng-1617	230	40	the	the	DET
fumecheng-1617	230	41	y	y	NOUN
fumecheng-1617	230	42	-	-	PUNCT
fumecheng-1617	230	43	direction	direction	NOUN
fumecheng-1617	230	44	and	and	CCONJ
fumecheng-1617	230	45	reads	read	VERB
fumecheng-1617	230	46	1.9	1.9	NUM
fumecheng-1617	230	47	%	%	NOUN
fumecheng-1617	230	48	.	.	PUNCT
fumecheng-1617	231	1	as	as	ADP
fumecheng-1617	231	2	for	for	ADP
fumecheng-1617	231	3	the	the	DET
fumecheng-1617	231	4	efficiency	efficiency	NOUN
fumecheng-1617	231	5	,	,	PUNCT
fumecheng-1617	231	6	performing	perform	VERB
fumecheng-1617	231	7	the	the	DET
fumecheng-1617	231	8	computation	computation	NOUN
fumecheng-1617	231	9	with	with	ADP
fumecheng-1617	231	10	an	an	DET
fumecheng-1617	231	11	automatic	automatic	ADJ
fumecheng-1617	231	12	(	(	PUNCT
fumecheng-1617	231	13	initial	initial	ADJ
fumecheng-1617	231	14	increment	increment	NOUN
fumecheng-1617	231	15	size	size	NOUN
fumecheng-1617	231	16	:	:	PUNCT
fumecheng-1617	231	17	0.2	0.2	NUM
fumecheng-1617	231	18	,	,	PUNCT
fumecheng-1617	231	19	minimum	minimum	ADJ
fumecheng-1617	231	20	size	size	NOUN
fumecheng-1617	231	21	:	:	PUNCT
fumecheng-1617	231	22	10	10	NUM
fumecheng-1617	231	23	-	-	SYM
fumecheng-1617	231	24	5	5	NUM
fumecheng-1617	231	25	,	,	PUNCT
fumecheng-1617	231	26	maximum	maximum	ADJ
fumecheng-1617	231	27	size	size	NOUN
fumecheng-1617	231	28	1	1	NUM
fumecheng-1617	231	29	)	)	PUNCT
fumecheng-1617	231	30	and	and	CCONJ
fumecheng-1617	231	31	fixed	fix	VERB
fumecheng-1617	231	32	load	load	NOUN
fumecheng-1617	231	33	increment	increment	NOUN
fumecheng-1617	231	34	size	size	NOUN
fumecheng-1617	231	35	of	of	ADP
fumecheng-1617	231	36	0.3	0.3	NUM
fumecheng-1617	231	37	,	,	PUNCT
fumecheng-1617	231	38	abaqus	abaqus	NOUN
fumecheng-1617	231	39	needed	need	VERB
fumecheng-1617	231	40	31	31	NUM
fumecheng-1617	231	41	iterations	iteration	NOUN
fumecheng-1617	231	42	for	for	ADP
fumecheng-1617	231	43	the	the	DET
fumecheng-1617	231	44	both	both	DET
fumecheng-1617	231	45	cases	case	NOUN
fumecheng-1617	231	46	.	.	PUNCT
fumecheng-1617	232	1	in	in	ADP
fumecheng-1617	232	2	contrast	contrast	NOUN
fumecheng-1617	232	3	,	,	PUNCT
fumecheng-1617	232	4	the	the	DET
fumecheng-1617	232	5	cr	cr	NOUN
fumecheng-1617	232	6	-	-	PUNCT
fumecheng-1617	232	7	formulation	formulation	NOUN
fumecheng-1617	232	8	required	require	VERB
fumecheng-1617	232	9	24	24	NUM
fumecheng-1617	232	10	iterations	iteration	NOUN
fumecheng-1617	232	11	for	for	ADP
fumecheng-1617	232	12	the	the	DET
fumecheng-1617	232	13	automatic	automatic	ADJ
fumecheng-1617	232	14	increment	increment	NOUN
fumecheng-1617	232	15	size	size	NOUN
fumecheng-1617	232	16	and	and	CCONJ
fumecheng-1617	232	17	only	only	ADV
fumecheng-1617	232	18	13	13	NUM
fumecheng-1617	232	19	iterations	iteration	NOUN
fumecheng-1617	232	20	for	for	ADP
fumecheng-1617	232	21	the	the	DET
fumecheng-1617	232	22	fixed	fix	VERB
fumecheng-1617	232	23	one	one	NOUN
fumecheng-1617	232	24	.	.	PUNCT
fumecheng-1617	233	1	in	in	ADP
fumecheng-1617	233	2	addition	addition	NOUN
fumecheng-1617	233	3	,	,	PUNCT
fumecheng-1617	233	4	the	the	DET
fumecheng-1617	233	5	computed	computed	ADJ
fumecheng-1617	233	6	maximum	maximum	ADJ
fumecheng-1617	233	7	principal	principal	ADJ
fumecheng-1617	233	8	logarithmic	logarithmic	ADJ
fumecheng-1617	233	9	strain	strain	NOUN
fumecheng-1617	233	10	was	be	AUX
fumecheng-1617	233	11	in	in	ADP
fumecheng-1617	233	12	this	this	DET
fumecheng-1617	233	13	case	case	NOUN
fumecheng-1617	233	14	7	7	NUM
fumecheng-1617	233	15	%	%	NOUN
fumecheng-1617	233	16	.	.	PUNCT
fumecheng-1617	234	1	the	the	DET
fumecheng-1617	234	2	computational	computational	ADJ
fumecheng-1617	234	3	time	time	NOUN
fumecheng-1617	234	4	was	be	AUX
fumecheng-1617	234	5	reduced	reduce	VERB
fumecheng-1617	234	6	by	by	ADP
fumecheng-1617	234	7	58	58	NUM
fumecheng-1617	234	8	%	%	NOUN
fumecheng-1617	234	9	.	.	PUNCT
fumecheng-1617	235	1	table	table	NOUN
fumecheng-1617	235	2	2	2	NUM
fumecheng-1617	235	3	results	result	NOUN
fumecheng-1617	235	4	for	for	ADP
fumecheng-1617	235	5	the	the	DET
fumecheng-1617	235	6	curved	curved	ADJ
fumecheng-1617	235	7	clamped	clamp	VERB
fumecheng-1617	235	8	beam	beam	NOUN
fumecheng-1617	235	9	cases	case	NOUN
fumecheng-1617	235	10	abaqus	abaqus	PROPN
fumecheng-1617	235	11	cr	cr	PROPN
fumecheng-1617	235	12	-	-	PUNCT
fumecheng-1617	235	13	fem	fem	NOUN
fumecheng-1617	235	14	error	error	NOUN
fumecheng-1617	235	15	x	x	X
fumecheng-1617	235	16	direction	direction	NOUN
fumecheng-1617	235	17	198.62	198.62	NUM
fumecheng-1617	235	18	201.85	201.85	NUM
fumecheng-1617	235	19	1.6	1.6	NUM
fumecheng-1617	235	20	%	%	NOUN
fumecheng-1617	235	21	y	y	PROPN
fumecheng-1617	235	22	direction	direction	NOUN
fumecheng-1617	236	1	-142.98	-142.98	INTJ
fumecheng-1617	236	2	-140.27	-140.27	PROPN
fumecheng-1617	236	3	1.9	1.9	NUM
fumecheng-1617	236	4	%	%	NOUN
fumecheng-1617	236	5	z	z	NOUN
fumecheng-1617	236	6	direction	direction	NOUN
fumecheng-1617	236	7	470.03	470.03	NUM
fumecheng-1617	236	8	470.75	470.75	NUM
fumecheng-1617	236	9	0.2	0.2	NUM
fumecheng-1617	236	10	%	%	NOUN
fumecheng-1617	236	11	automatic	automatic	ADJ
fumecheng-1617	236	12	31	31	NUM
fumecheng-1617	236	13	iter	iter	NOUN
fumecheng-1617	236	14	.	.	PUNCT
fumecheng-1617	237	1	24	24	NUM
fumecheng-1617	237	2	iter	iter	NOUN
fumecheng-1617	237	3	.	.	PUNCT
fumecheng-1617	238	1	direct	direct	ADJ
fumecheng-1617	238	2	31	31	NUM
fumecheng-1617	238	3	iter	iter	NOUN
fumecheng-1617	238	4	.	.	PUNCT
fumecheng-1617	239	1	13	13	NUM
fumecheng-1617	239	2	iter	iter	NOUN
fumecheng-1617	239	3	.	.	PUNCT
fumecheng-1617	240	1	max	max	PROPN
fumecheng-1617	240	2	.	.	PROPN
fumecheng-1617	240	3	log	log	PROPN
fumecheng-1617	240	4	.	.	PUNCT
fumecheng-1617	241	1	strains	strain	VERB
fumecheng-1617	241	2	7	7	NUM
fumecheng-1617	241	3	%	%	NOUN
fumecheng-1617	241	4	7	7	NUM
fumecheng-1617	241	5	%	%	NOUN
fumecheng-1617	241	6	5	5	NUM
fumecheng-1617	241	7	.	.	PUNCT
fumecheng-1617	242	1	conclusions	conclusion	NOUN
fumecheng-1617	242	2	the	the	DET
fumecheng-1617	242	3	paper	paper	NOUN
fumecheng-1617	242	4	presented	present	VERB
fumecheng-1617	242	5	a	a	DET
fumecheng-1617	242	6	co	co	ADJ
fumecheng-1617	242	7	-	-	ADJ
fumecheng-1617	242	8	rotational	rotational	ADJ
fumecheng-1617	242	9	fe	fe	NOUN
fumecheng-1617	242	10	formulation	formulation	NOUN
fumecheng-1617	242	11	to	to	PART
fumecheng-1617	242	12	simulate	simulate	VERB
fumecheng-1617	242	13	geometrically	geometrically	ADV
fumecheng-1617	242	14	non	non	ADJ
fumecheng-1617	242	15	-	-	ADJ
fumecheng-1617	242	16	linear	linear	ADJ
fumecheng-1617	242	17	elastic	elastic	ADJ
fumecheng-1617	242	18	behavior	behavior	NOUN
fumecheng-1617	242	19	of	of	ADP
fumecheng-1617	242	20	3d	3d	PROPN
fumecheng-1617	242	21	structures	structure	NOUN
fumecheng-1617	242	22	.	.	PUNCT
fumecheng-1617	243	1	a	a	DET
fumecheng-1617	243	2	systematic	systematic	ADJ
fumecheng-1617	243	3	derivation	derivation	NOUN
fumecheng-1617	243	4	of	of	ADP
fumecheng-1617	243	5	the	the	DET
fumecheng-1617	243	6	numerical	numerical	ADJ
fumecheng-1617	243	7	procedure	procedure	NOUN
fumecheng-1617	243	8	is	be	AUX
fumecheng-1617	243	9	given	give	VERB
fumecheng-1617	243	10	as	as	ADV
fumecheng-1617	243	11	well	well	ADV
fumecheng-1617	243	12	as	as	ADP
fumecheng-1617	243	13	a	a	DET
fumecheng-1617	243	14	couple	couple	NOUN
fumecheng-1617	243	15	of	of	ADP
fumecheng-1617	243	16	examples	example	NOUN
fumecheng-1617	243	17	.	.	PUNCT
fumecheng-1617	244	1	the	the	DET
fumecheng-1617	244	2	basis	basis	NOUN
fumecheng-1617	244	3	of	of	ADP
fumecheng-1617	244	4	the	the	DET
fumecheng-1617	244	5	proposed	propose	VERB
fumecheng-1617	244	6	calculation	calculation	NOUN
fumecheng-1617	244	7	framework	framework	NOUN
fumecheng-1617	244	8	is	be	AUX
fumecheng-1617	244	9	a	a	DET
fumecheng-1617	244	10	co	co	ADJ
fumecheng-1617	244	11	-	-	ADJ
fumecheng-1617	244	12	rotational	rotational	ADJ
fumecheng-1617	244	13	fe	fe	NOUN
fumecheng-1617	244	14	-	-	NOUN
fumecheng-1617	244	15	formulation	formulation	NOUN
fumecheng-1617	244	16	for	for	ADP
fumecheng-1617	244	17	3d	3d	PROPN
fumecheng-1617	244	18	geometrically	geometrically	ADV
fumecheng-1617	244	19	non	non	ADJ
fumecheng-1617	244	20	-	-	ADJ
fumecheng-1617	244	21	linear	linear	ADJ
fumecheng-1617	244	22	deformations	deformation	NOUN
fumecheng-1617	244	23	,	,	PUNCT
fumecheng-1617	244	24	where	where	SCONJ
fumecheng-1617	244	25	the	the	DET
fumecheng-1617	244	26	large	large	ADJ
fumecheng-1617	244	27	element	element	ADJ
fumecheng-1617	244	28	rigid	rigid	ADJ
fumecheng-1617	244	29	body	body	NOUN
fumecheng-1617	244	30	rotation	rotation	NOUN
fumecheng-1617	244	31	and	and	CCONJ
fumecheng-1617	244	32	small	small	ADJ
fumecheng-1617	244	33	elastic	elastic	ADJ
fumecheng-1617	244	34	displacements	displacement	NOUN
fumecheng-1617	244	35	can	can	AUX
fumecheng-1617	244	36	be	be	AUX
fumecheng-1617	244	37	separately	separately	ADV
fumecheng-1617	244	38	treated	treat	VERB
fumecheng-1617	244	39	in	in	ADP
fumecheng-1617	244	40	an	an	DET
fumecheng-1617	244	41	elegant	elegant	ADJ
fumecheng-1617	244	42	manner	manner	NOUN
fumecheng-1617	244	43	.	.	PUNCT
fumecheng-1617	245	1	the	the	DET
fumecheng-1617	245	2	element	element	ADJ
fumecheng-1617	245	3	rigid	rigid	ADJ
fumecheng-1617	245	4	-	-	PUNCT
fumecheng-1617	245	5	body	body	NOUN
fumecheng-1617	245	6	rotation	rotation	NOUN
fumecheng-1617	245	7	is	be	AUX
fumecheng-1617	245	8	efficiently	efficiently	ADV
fumecheng-1617	245	9	computed	compute	VERB
fumecheng-1617	245	10	using	use	VERB
fumecheng-1617	245	11	the	the	DET
fumecheng-1617	245	12	polar	polar	ADJ
fumecheng-1617	245	13	decomposition	decomposition	NOUN
fumecheng-1617	245	14	of	of	ADP
fumecheng-1617	245	15	the	the	DET
fumecheng-1617	245	16	deformation	deformation	NOUN
fumecheng-1617	245	17	gradient	gradient	NOUN
fumecheng-1617	245	18	,	,	PUNCT
fumecheng-1617	245	19	where	where	SCONJ
fumecheng-1617	245	20	the	the	DET
fumecheng-1617	245	21	newton	newton	PROPN
fumecheng-1617	245	22	-	-	PUNCT
fumecheng-1617	245	23	raphson	raphson	PROPN
fumecheng-1617	245	24	iterative	iterative	NOUN
fumecheng-1617	245	25	method	method	NOUN
fumecheng-1617	245	26	is	be	AUX
fumecheng-1617	245	27	applied	apply	VERB
fumecheng-1617	245	28	.	.	PUNCT
fumecheng-1617	246	1	the	the	DET
fumecheng-1617	246	2	rotation	rotation	NOUN
fumecheng-1617	246	3	-	-	PUNCT
fumecheng-1617	246	4	free	free	ADJ
fumecheng-1617	246	5	nodal	nodal	NOUN
fumecheng-1617	246	6	displacements	displacement	NOUN
fumecheng-1617	246	7	,	,	PUNCT
fumecheng-1617	246	8	given	give	VERB
fumecheng-1617	246	9	with	with	ADP
fumecheng-1617	246	10	respect	respect	NOUN
fumecheng-1617	246	11	to	to	ADP
fumecheng-1617	246	12	the	the	DET
fumecheng-1617	246	13	local	local	ADJ
fumecheng-1617	246	14	cr	cr	PROPN
fumecheng-1617	246	15	element	element	NOUN
fumecheng-1617	246	16	coordinate	coordinate	NOUN
fumecheng-1617	246	17	system	system	NOUN
fumecheng-1617	246	18	,	,	PUNCT
fumecheng-1617	246	19	are	be	AUX
fumecheng-1617	246	20	assumed	assume	VERB
fumecheng-1617	246	21	to	to	PART
fumecheng-1617	246	22	be	be	AUX
fumecheng-1617	246	23	small	small	ADJ
fumecheng-1617	246	24	.	.	PUNCT
fumecheng-1617	247	1	the	the	DET
fumecheng-1617	247	2	internal	internal	ADJ
fumecheng-1617	247	3	element	element	NOUN
fumecheng-1617	247	4	force	force	NOUN
fumecheng-1617	247	5	vector	vector	NOUN
fumecheng-1617	247	6	and	and	CCONJ
fumecheng-1617	247	7	the	the	DET
fumecheng-1617	247	8	tangent	tangent	NOUN
fumecheng-1617	247	9	element	element	NOUN
fumecheng-1617	247	10	stiffness	stiffness	NOUN
fumecheng-1617	247	11	matrix	matrix	NOUN
fumecheng-1617	247	12	are	be	AUX
fumecheng-1617	247	13	240	240	NUM
fumecheng-1617	247	14	v.	v.	ADP
fumecheng-1617	247	15	a	a	DET
fumecheng-1617	247	16	nguyen	nguyen	NOUN
fumecheng-1617	247	17	,	,	PUNCT
fumecheng-1617	247	18	m.	m.	NOUN
fumecheng-1617	247	19	zehn	zehn	PROPN
fumecheng-1617	247	20	,	,	PUNCT
fumecheng-1617	247	21	d.	d.	PROPN
fumecheng-1617	247	22	marinković	marinković	PROPN
fumecheng-1617	247	23	estimated	estimate	VERB
fumecheng-1617	247	24	using	use	VERB
fumecheng-1617	247	25	a	a	DET
fumecheng-1617	247	26	consistent	consistent	ADJ
fumecheng-1617	247	27	linearization	linearization	NOUN
fumecheng-1617	247	28	of	of	ADP
fumecheng-1617	247	29	the	the	DET
fumecheng-1617	247	30	internal	internal	ADJ
fumecheng-1617	247	31	element	element	NOUN
fumecheng-1617	247	32	energy	energy	NOUN
fumecheng-1617	247	33	with	with	ADP
fumecheng-1617	247	34	respect	respect	NOUN
fumecheng-1617	247	35	to	to	ADP
fumecheng-1617	247	36	the	the	DET
fumecheng-1617	247	37	global	global	ADJ
fumecheng-1617	247	38	element	element	NOUN
fumecheng-1617	247	39	displacements	displacement	NOUN
fumecheng-1617	247	40	.	.	PUNCT
fumecheng-1617	248	1	this	this	DET
fumecheng-1617	248	2	results	result	VERB
fumecheng-1617	248	3	in	in	ADP
fumecheng-1617	248	4	a	a	DET
fumecheng-1617	248	5	non	non	ADJ
fumecheng-1617	248	6	-	-	ADJ
fumecheng-1617	248	7	linear	linear	ADJ
fumecheng-1617	248	8	projector	projector	NOUN
fumecheng-1617	248	9	matrix	matrix	NOUN
fumecheng-1617	248	10	,	,	PUNCT
fumecheng-1617	248	11	which	which	PRON
fumecheng-1617	248	12	generally	generally	ADV
fumecheng-1617	248	13	improves	improve	VERB
fumecheng-1617	248	14	the	the	DET
fumecheng-1617	248	15	obtained	obtain	VERB
fumecheng-1617	248	16	results	result	NOUN
fumecheng-1617	248	17	.	.	PUNCT
fumecheng-1617	249	1	finally	finally	ADV
fumecheng-1617	249	2	,	,	PUNCT
fumecheng-1617	249	3	the	the	DET
fumecheng-1617	249	4	presented	present	VERB
fumecheng-1617	249	5	approach	approach	NOUN
fumecheng-1617	249	6	allows	allow	VERB
fumecheng-1617	249	7	the	the	DET
fumecheng-1617	249	8	linear	linear	ADJ
fumecheng-1617	249	9	tetrahedral	tetrahedral	ADJ
fumecheng-1617	249	10	element	element	NOUN
fumecheng-1617	249	11	to	to	PART
fumecheng-1617	249	12	be	be	AUX
fumecheng-1617	249	13	easily	easily	ADV
fumecheng-1617	249	14	upgraded	upgrade	VERB
fumecheng-1617	249	15	into	into	ADP
fumecheng-1617	249	16	the	the	DET
fumecheng-1617	249	17	element	element	NOUN
fumecheng-1617	249	18	for	for	ADP
fumecheng-1617	249	19	the	the	DET
fumecheng-1617	249	20	geometrically	geometrically	ADV
fumecheng-1617	249	21	non	non	ADJ
fumecheng-1617	249	22	-	-	ADJ
fumecheng-1617	249	23	linear	linear	ADJ
fumecheng-1617	249	24	analysis	analysis	NOUN
fumecheng-1617	249	25	,	,	PUNCT
fumecheng-1617	249	26	requiring	require	VERB
fumecheng-1617	249	27	rather	rather	ADV
fumecheng-1617	249	28	small	small	ADJ
fumecheng-1617	249	29	modifications	modification	NOUN
fumecheng-1617	249	30	.	.	PUNCT
fumecheng-1617	250	1	a	a	DET
fumecheng-1617	250	2	very	very	ADV
fumecheng-1617	250	3	good	good	ADJ
fumecheng-1617	250	4	agreement	agreement	NOUN
fumecheng-1617	250	5	between	between	ADP
fumecheng-1617	250	6	the	the	DET
fumecheng-1617	250	7	results	result	NOUN
fumecheng-1617	250	8	from	from	ADP
fumecheng-1617	250	9	abaqus	abaqus	NOUN
fumecheng-1617	250	10	and	and	CCONJ
fumecheng-1617	250	11	the	the	DET
fumecheng-1617	250	12	proposed	propose	VERB
fumecheng-1617	250	13	cr	cr	NOUN
fumecheng-1617	250	14	formulation	formulation	PROPN
fumecheng-1617	250	15	validates	validate	VERB
fumecheng-1617	250	16	the	the	DET
fumecheng-1617	250	17	high	high	ADJ
fumecheng-1617	250	18	accuracy	accuracy	NOUN
fumecheng-1617	250	19	of	of	ADP
fumecheng-1617	250	20	the	the	DET
fumecheng-1617	250	21	presented	present	VERB
fumecheng-1617	250	22	approach	approach	NOUN
fumecheng-1617	250	23	.	.	PUNCT
fumecheng-1617	251	1	it	it	PRON
fumecheng-1617	251	2	was	be	AUX
fumecheng-1617	251	3	also	also	ADV
fumecheng-1617	251	4	demonstrated	demonstrate	VERB
fumecheng-1617	251	5	that	that	SCONJ
fumecheng-1617	251	6	the	the	DET
fumecheng-1617	251	7	computational	computational	ADJ
fumecheng-1617	251	8	effort	effort	NOUN
fumecheng-1617	251	9	could	could	AUX
fumecheng-1617	251	10	be	be	AUX
fumecheng-1617	251	11	significantly	significantly	ADV
fumecheng-1617	251	12	reduced	reduce	VERB
fumecheng-1617	251	13	by	by	ADP
fumecheng-1617	251	14	using	use	VERB
fumecheng-1617	251	15	large	large	ADJ
fumecheng-1617	251	16	load	load	NOUN
fumecheng-1617	251	17	increments	increment	NOUN
fumecheng-1617	251	18	.	.	PUNCT
fumecheng-1617	252	1	this	this	DET
fumecheng-1617	252	2	fact	fact	NOUN
fumecheng-1617	252	3	particularly	particularly	ADV
fumecheng-1617	252	4	gains	gain	VERB
fumecheng-1617	252	5	importance	importance	NOUN
fumecheng-1617	252	6	if	if	SCONJ
fumecheng-1617	252	7	the	the	DET
fumecheng-1617	252	8	method	method	NOUN
fumecheng-1617	252	9	is	be	AUX
fumecheng-1617	252	10	used	use	VERB
fumecheng-1617	252	11	in	in	ADP
fumecheng-1617	252	12	combination	combination	NOUN
fumecheng-1617	252	13	with	with	ADP
fumecheng-1617	252	14	the	the	DET
fumecheng-1617	252	15	advantages	advantage	NOUN
fumecheng-1617	252	16	of	of	ADP
fumecheng-1617	252	17	modern	modern	ADJ
fumecheng-1617	252	18	hardware	hardware	NOUN
fumecheng-1617	252	19	tools	tool	NOUN
fumecheng-1617	252	20	[	[	X
fumecheng-1617	252	21	16	16	NUM
fumecheng-1617	252	22	]	]	PUNCT
fumecheng-1617	252	23	.	.	PUNCT
fumecheng-1617	253	1	the	the	DET
fumecheng-1617	253	2	problems	problem	NOUN
fumecheng-1617	253	3	in	in	ADP
fumecheng-1617	253	4	the	the	DET
fumecheng-1617	253	5	field	field	NOUN
fumecheng-1617	253	6	of	of	ADP
fumecheng-1617	253	7	structural	structural	ADJ
fumecheng-1617	253	8	mechanics	mechanic	NOUN
fumecheng-1617	253	9	with	with	ADP
fumecheng-1617	253	10	large	large	ADJ
fumecheng-1617	253	11	rigid	rigid	ADJ
fumecheng-1617	253	12	-	-	PUNCT
fumecheng-1617	253	13	body	body	NOUN
fumecheng-1617	253	14	rotation	rotation	NOUN
fumecheng-1617	253	15	and	and	CCONJ
fumecheng-1617	253	16	with	with	ADP
fumecheng-1617	253	17	relatively	relatively	ADV
fumecheng-1617	253	18	large	large	ADJ
fumecheng-1617	253	19	strains	strain	NOUN
fumecheng-1617	253	20	can	can	AUX
fumecheng-1617	253	21	be	be	AUX
fumecheng-1617	253	22	efficiently	efficiently	ADV
fumecheng-1617	253	23	solved	solve	VERB
fumecheng-1617	253	24	using	use	VERB
fumecheng-1617	253	25	the	the	DET
fumecheng-1617	253	26	projector	projector	NOUN
fumecheng-1617	253	27	matrix	matrix	NOUN
fumecheng-1617	253	28	.	.	PUNCT
fumecheng-1617	254	1	with	with	ADP
fumecheng-1617	254	2	those	those	DET
fumecheng-1617	254	3	properties	property	NOUN
fumecheng-1617	254	4	,	,	PUNCT
fumecheng-1617	254	5	the	the	DET
fumecheng-1617	254	6	presented	present	VERB
fumecheng-1617	254	7	formulation	formulation	NOUN
fumecheng-1617	254	8	could	could	AUX
fumecheng-1617	254	9	be	be	AUX
fumecheng-1617	254	10	embedded	embed	VERB
fumecheng-1617	254	11	into	into	ADP
fumecheng-1617	254	12	the	the	DET
fumecheng-1617	254	13	software	software	NOUN
fumecheng-1617	254	14	packages	package	NOUN
fumecheng-1617	254	15	for	for	ADP
fumecheng-1617	254	16	multi	multi	ADJ
fumecheng-1617	254	17	-	-	ADJ
fumecheng-1617	254	18	body	body	ADJ
fumecheng-1617	254	19	system	system	NOUN
fumecheng-1617	254	20	simulation	simulation	NOUN
fumecheng-1617	254	21	to	to	PART
fumecheng-1617	254	22	provide	provide	VERB
fumecheng-1617	254	23	a	a	DET
fumecheng-1617	254	24	greater	great	ADJ
fumecheng-1617	254	25	versatility	versatility	NOUN
fumecheng-1617	254	26	compared	compare	VERB
fumecheng-1617	254	27	to	to	ADP
fumecheng-1617	254	28	existing	exist	VERB
fumecheng-1617	254	29	solutions	solution	NOUN
fumecheng-1617	254	30	in	in	ADP
fumecheng-1617	254	31	describing	describe	VERB
fumecheng-1617	254	32	flexible	flexible	ADJ
fumecheng-1617	254	33	bodies	body	NOUN
fumecheng-1617	254	34	undergoing	undergo	VERB
fumecheng-1617	254	35	large	large	ADJ
fumecheng-1617	254	36	rigid	rigid	ADJ
fumecheng-1617	254	37	-	-	PUNCT
fumecheng-1617	254	38	body	body	NOUN
fumecheng-1617	254	39	rotation	rotation	NOUN
fumecheng-1617	254	40	.	.	PUNCT
fumecheng-1617	255	1	references	reference	NOUN
fumecheng-1617	255	2	1	1	NUM
fumecheng-1617	255	3	.	.	PUNCT
fumecheng-1617	255	4	felippa	felippa	PROPN
fumecheng-1617	255	5	,	,	PUNCT
fumecheng-1617	255	6	c.	c.	PROPN
fumecheng-1617	255	7	a.	a.	PROPN
fumecheng-1617	255	8	,	,	PUNCT
fumecheng-1617	255	9	haugen	haugen	PROPN
fumecheng-1617	255	10	,	,	PUNCT
fumecheng-1617	255	11	b.	b.	PROPN
fumecheng-1617	255	12	,	,	PUNCT
fumecheng-1617	255	13	2005	2005	NUM
fumecheng-1617	255	14	,	,	PUNCT
fumecheng-1617	255	15	unifield	unifield	VERB
fumecheng-1617	255	16	formulation	formulation	NOUN
fumecheng-1617	255	17	of	of	ADP
fumecheng-1617	255	18	small	small	ADJ
fumecheng-1617	255	19	-	-	PUNCT
fumecheng-1617	255	20	strain	strain	NOUN
fumecheng-1617	255	21	corotational	corotational	ADJ
fumecheng-1617	255	22	finite	finite	ADJ
fumecheng-1617	255	23	elements	element	NOUN
fumecheng-1617	255	24	:	:	PUNCT
fumecheng-1617	255	25	i.	i.	PROPN
fumecheng-1617	255	26	theory	theory	PROPN
fumecheng-1617	255	27	,	,	PUNCT
fumecheng-1617	255	28	center	center	NOUN
fumecheng-1617	255	29	for	for	ADP
fumecheng-1617	255	30	aerospace	aerospace	NOUN
fumecheng-1617	255	31	structures	structure	NOUN
fumecheng-1617	255	32	,	,	PUNCT
fumecheng-1617	255	33	college	college	NOUN
fumecheng-1617	255	34	of	of	ADP
fumecheng-1617	255	35	engineering	engineering	NOUN
fumecheng-1617	255	36	,	,	PUNCT
fumecheng-1617	255	37	university	university	NOUN
fumecheng-1617	255	38	of	of	ADP
fumecheng-1617	255	39	colorado	colorado	PROPN
fumecheng-1617	255	40	.	.	PUNCT
fumecheng-1617	256	1	2	2	NUM
fumecheng-1617	256	2	.	.	X
fumecheng-1617	256	3	marinković	marinković	ADJ
fumecheng-1617	256	4	,	,	PUNCT
fumecheng-1617	256	5	d.	d.	PROPN
fumecheng-1617	256	6	,	,	PUNCT
fumecheng-1617	256	7	zehn	zehn	PROPN
fumecheng-1617	256	8	,	,	PUNCT
fumecheng-1617	256	9	m.	m.	NOUN
fumecheng-1617	256	10	,	,	PUNCT
fumecheng-1617	256	11	2012	2012	NUM
fumecheng-1617	256	12	,	,	PUNCT
fumecheng-1617	256	13	finite	finite	ADJ
fumecheng-1617	256	14	element	element	NOUN
fumecheng-1617	256	15	formulations	formulation	NOUN
fumecheng-1617	256	16	for	for	ADP
fumecheng-1617	256	17	effective	effective	ADJ
fumecheng-1617	256	18	computations	computation	NOUN
fumecheng-1617	256	19	of	of	ADP
fumecheng-1617	256	20	geometrically	geometrically	ADV
fumecheng-1617	256	21	nonlinear	nonlinear	ADJ
fumecheng-1617	256	22	deformations	deformation	NOUN
fumecheng-1617	256	23	,	,	PUNCT
fumecheng-1617	256	24	advances	advance	NOUN
fumecheng-1617	256	25	in	in	ADP
fumecheng-1617	256	26	engineering	engineering	NOUN
fumecheng-1617	256	27	software	software	NOUN
fumecheng-1617	256	28	,	,	PUNCT
fumecheng-1617	256	29	50	50	NUM
fumecheng-1617	256	30	,	,	PUNCT
fumecheng-1617	256	31	pp	pp	ADJ
fumecheng-1617	256	32	.	.	PUNCT
fumecheng-1617	257	1	3	3	NUM
fumecheng-1617	257	2	-	-	SYM
fumecheng-1617	257	3	11	11	NUM
fumecheng-1617	257	4	.	.	PUNCT
fumecheng-1617	258	1	3	3	X
fumecheng-1617	258	2	.	.	X
fumecheng-1617	258	3	marinković	marinković	PROPN
fumecheng-1617	258	4	d.	d.	PROPN
fumecheng-1617	258	5	,	,	PUNCT
fumecheng-1617	258	6	köppe	köppe	PROPN
fumecheng-1617	258	7	,	,	PUNCT
fumecheng-1617	258	8	h.	h.	PROPN
fumecheng-1617	258	9	,	,	PUNCT
fumecheng-1617	258	10	gabbert	gabbert	PROPN
fumecheng-1617	258	11	,	,	PUNCT
fumecheng-1617	258	12	u.	u.	PROPN
fumecheng-1617	258	13	,	,	PUNCT
fumecheng-1617	258	14	2008	2008	NUM
fumecheng-1617	258	15	,	,	PUNCT
fumecheng-1617	258	16	degenerated	degenerate	VERB
fumecheng-1617	258	17	shell	shell	ADJ
fumecheng-1617	258	18	element	element	NOUN
fumecheng-1617	258	19	for	for	ADP
fumecheng-1617	258	20	geometrically	geometrically	ADV
fumecheng-1617	258	21	nonlinear	nonlinear	ADJ
fumecheng-1617	258	22	analysis	analysis	NOUN
fumecheng-1617	258	23	of	of	ADP
fumecheng-1617	258	24	thin	thin	ADJ
fumecheng-1617	258	25	-	-	PUNCT
fumecheng-1617	258	26	walled	walled	ADJ
fumecheng-1617	258	27	piezoelectric	piezoelectric	ADJ
fumecheng-1617	258	28	active	active	ADJ
fumecheng-1617	258	29	structures	structure	NOUN
fumecheng-1617	258	30	,	,	PUNCT
fumecheng-1617	258	31	smart	smart	ADJ
fumecheng-1617	258	32	materials	material	NOUN
fumecheng-1617	258	33	and	and	CCONJ
fumecheng-1617	258	34	structures	structure	NOUN
fumecheng-1617	258	35	,	,	PUNCT
fumecheng-1617	258	36	17(1	17(1	NUM
fumecheng-1617	258	37	)	)	PUNCT
fumecheng-1617	258	38	,	,	PUNCT
fumecheng-1617	258	39	pp	pp	PROPN
fumecheng-1617	258	40	.	.	PUNCT
fumecheng-1617	259	1	1	1	NUM
fumecheng-1617	259	2	-	-	SYM
fumecheng-1617	259	3	10	10	NUM
fumecheng-1617	259	4	.	.	PUNCT
fumecheng-1617	260	1	4	4	NUM
fumecheng-1617	260	2	.	.	X
fumecheng-1617	260	3	nour	nour	PROPN
fumecheng-1617	260	4	-	-	PUNCT
fumecheng-1617	260	5	omid	omid	PROPN
fumecheng-1617	260	6	,	,	PUNCT
fumecheng-1617	260	7	b.	b.	PROPN
fumecheng-1617	260	8	,	,	PUNCT
fumecheng-1617	260	9	rankin	rankin	PROPN
fumecheng-1617	260	10	,	,	PUNCT
fumecheng-1617	260	11	c.	c.	PROPN
fumecheng-1617	260	12	,	,	PUNCT
fumecheng-1617	260	13	1991	1991	NUM
fumecheng-1617	260	14	,	,	PUNCT
fumecheng-1617	260	15	finite	finite	ADJ
fumecheng-1617	260	16	rotation	rotation	NOUN
fumecheng-1617	260	17	analysis	analysis	NOUN
fumecheng-1617	260	18	and	and	CCONJ
fumecheng-1617	260	19	consistent	consistent	ADJ
fumecheng-1617	260	20	linearization	linearization	NOUN
fumecheng-1617	260	21	using	use	VERB
fumecheng-1617	260	22	projectors	projector	NOUN
fumecheng-1617	260	23	,	,	PUNCT
fumecheng-1617	260	24	computer	computer	NOUN
fumecheng-1617	260	25	methods	method	NOUN
fumecheng-1617	260	26	in	in	ADP
fumecheng-1617	260	27	applied	applied	ADJ
fumecheng-1617	260	28	mechanics	mechanic	NOUN
fumecheng-1617	260	29	and	and	CCONJ
fumecheng-1617	260	30	engineering	engineering	NOUN
fumecheng-1617	260	31	,	,	PUNCT
fumecheng-1617	260	32	93	93	NUM
fumecheng-1617	260	33	,	,	PUNCT
fumecheng-1617	260	34	pp	pp	ADJ
fumecheng-1617	260	35	.	.	PUNCT
fumecheng-1617	261	1	353	353	NUM
fumecheng-1617	261	2	-	-	SYM
fumecheng-1617	261	3	384	384	NUM
fumecheng-1617	261	4	.	.	NOUN
fumecheng-1617	262	1	5	5	NUM
fumecheng-1617	262	2	.	.	PUNCT
fumecheng-1617	262	3	rankin	rankin	PROPN
fumecheng-1617	262	4	,	,	PUNCT
fumecheng-1617	262	5	c.	c.	PROPN
fumecheng-1617	262	6	,	,	PUNCT
fumecheng-1617	262	7	2006	2006	NUM
fumecheng-1617	262	8	,	,	PUNCT
fumecheng-1617	262	9	application	application	NOUN
fumecheng-1617	262	10	of	of	ADP
fumecheng-1617	262	11	linear	linear	PROPN
fumecheng-1617	262	12	finite	finite	ADJ
fumecheng-1617	262	13	elements	element	NOUN
fumecheng-1617	262	14	to	to	PART
fumecheng-1617	262	15	finite	finite	VERB
fumecheng-1617	262	16	strain	strain	NOUN
fumecheng-1617	262	17	using	use	VERB
fumecheng-1617	262	18	corotation	corotation	NOUN
fumecheng-1617	262	19	,	,	PUNCT
fumecheng-1617	262	20	rhombus	rhombus	NOUN
fumecheng-1617	262	21	consultants	consultant	NOUN
fumecheng-1617	262	22	group	group	PROPN
fumecheng-1617	262	23	,	,	PUNCT
fumecheng-1617	262	24	inc	inc	PROPN
fumecheng-1617	262	25	.	.	PROPN
fumecheng-1617	262	26	,	,	PUNCT
fumecheng-1617	262	27	palo	palo	PROPN
fumecheng-1617	262	28	alto	alto	PROPN
fumecheng-1617	262	29	.	.	PUNCT
fumecheng-1617	263	1	6	6	X
fumecheng-1617	263	2	.	.	X
fumecheng-1617	263	3	crisfield	crisfield	PROPN
fumecheng-1617	263	4	,	,	PUNCT
fumecheng-1617	263	5	m.	m.	NOUN
fumecheng-1617	263	6	,	,	PUNCT
fumecheng-1617	263	7	moita	moita	PROPN
fumecheng-1617	263	8	,	,	PUNCT
fumecheng-1617	263	9	f.	f.	PROPN
fumecheng-1617	263	10	,	,	PUNCT
fumecheng-1617	263	11	1996	1996	NUM
fumecheng-1617	263	12	,	,	PUNCT
fumecheng-1617	263	13	a	a	DET
fumecheng-1617	263	14	unified	unified	ADJ
fumecheng-1617	263	15	co	co	ADJ
fumecheng-1617	263	16	-	-	ADJ
fumecheng-1617	263	17	rotational	rotational	ADJ
fumecheng-1617	263	18	framework	framework	NOUN
fumecheng-1617	263	19	for	for	ADP
fumecheng-1617	263	20	solids	solid	NOUN
fumecheng-1617	263	21	,	,	PUNCT
fumecheng-1617	263	22	shells	shell	NOUN
fumecheng-1617	263	23	and	and	CCONJ
fumecheng-1617	263	24	beams	beam	NOUN
fumecheng-1617	263	25	,	,	PUNCT
fumecheng-1617	263	26	international	international	ADJ
fumecheng-1617	263	27	journal	journal	NOUN
fumecheng-1617	263	28	of	of	ADP
fumecheng-1617	263	29	solids	solid	NOUN
fumecheng-1617	263	30	and	and	CCONJ
fumecheng-1617	263	31	structures	structure	NOUN
fumecheng-1617	263	32	,	,	PUNCT
fumecheng-1617	263	33	33(20	33(20	NUM
fumecheng-1617	263	34	-	-	SYM
fumecheng-1617	263	35	22	22	NUM
fumecheng-1617	263	36	)	)	PUNCT
fumecheng-1617	263	37	,	,	PUNCT
fumecheng-1617	263	38	pp	pp	PROPN
fumecheng-1617	263	39	.	.	PUNCT
fumecheng-1617	264	1	2969	2969	NUM
fumecheng-1617	264	2	-	-	SYM
fumecheng-1617	264	3	2992	2992	NUM
fumecheng-1617	264	4	.	.	PUNCT
fumecheng-1617	265	1	7	7	X
fumecheng-1617	265	2	.	.	NUM
fumecheng-1617	265	3	moita	moita	PROPN
fumecheng-1617	265	4	,	,	PUNCT
fumecheng-1617	265	5	g.f	g.f	PROPN
fumecheng-1617	265	6	.	.	PROPN
fumecheng-1617	265	7	,	,	PUNCT
fumecheng-1617	265	8	crisfield	crisfield	PROPN
fumecheng-1617	265	9	m.a	m.a	PROPN
fumecheng-1617	265	10	.	.	PROPN
fumecheng-1617	265	11	,	,	PUNCT
fumecheng-1617	265	12	1996	1996	NUM
fumecheng-1617	265	13	,	,	PUNCT
fumecheng-1617	265	14	a	a	DET
fumecheng-1617	265	15	finite	finite	ADJ
fumecheng-1617	265	16	element	element	NOUN
fumecheng-1617	265	17	formulation	formulation	NOUN
fumecheng-1617	265	18	using	use	VERB
fumecheng-1617	265	19	the	the	DET
fumecheng-1617	265	20	corotational	corotational	ADJ
fumecheng-1617	265	21	technique	technique	NOUN
fumecheng-1617	265	22	,	,	PUNCT
fumecheng-1617	265	23	international	international	ADJ
fumecheng-1617	265	24	journal	journal	NOUN
fumecheng-1617	265	25	for	for	ADP
fumecheng-1617	265	26	numerical	numerical	ADJ
fumecheng-1617	265	27	methods	method	NOUN
fumecheng-1617	265	28	in	in	ADP
fumecheng-1617	265	29	engineering	engineering	NOUN
fumecheng-1617	265	30	,	,	PUNCT
fumecheng-1617	265	31	39(22	39(22	NUM
fumecheng-1617	265	32	)	)	PUNCT
fumecheng-1617	265	33	,	,	PUNCT
fumecheng-1617	266	1	pp	pp	ADJ
fumecheng-1617	266	2	.	.	PUNCT
fumecheng-1617	267	1	3775	3775	NUM
fumecheng-1617	267	2	-	-	SYM
fumecheng-1617	267	3	3792	3792	NUM
fumecheng-1617	267	4	.	.	PUNCT
fumecheng-1617	268	1	8	8	NUM
fumecheng-1617	268	2	.	.	PUNCT
fumecheng-1617	269	1	espath	espath	NOUN
fumecheng-1617	269	2	,	,	PUNCT
fumecheng-1617	269	3	l.f.r	l.f.r	NOUN
fumecheng-1617	269	4	,	,	PUNCT
fumecheng-1617	269	5	braun	braun	NOUN
fumecheng-1617	269	6	,	,	PUNCT
fumecheng-1617	269	7	a.l	a.l	PROPN
fumecheng-1617	269	8	.	.	PROPN
fumecheng-1617	269	9	,	,	PUNCT
fumecheng-1617	269	10	awruch	awruch	ADJ
fumecheng-1617	269	11	,	,	PUNCT
fumecheng-1617	269	12	a.l	a.l	PROPN
fumecheng-1617	269	13	.	.	PROPN
fumecheng-1617	269	14	,	,	PUNCT
fumecheng-1617	269	15	dalcin	dalcin	PROPN
fumecheng-1617	269	16	,	,	PUNCT
fumecheng-1617	269	17	l.d	l.d	PROPN
fumecheng-1617	269	18	.	.	PROPN
fumecheng-1617	269	19	,	,	PUNCT
fumecheng-1617	269	20	2015	2015	NUM
fumecheng-1617	269	21	,	,	PUNCT
fumecheng-1617	269	22	a	a	DET
fumecheng-1617	269	23	nurbs	nurbs	NOUN
fumecheng-1617	269	24	-	-	PUNCT
fumecheng-1617	269	25	based	base	VERB
fumecheng-1617	269	26	finite	finite	PROPN
fumecheng-1617	269	27	element	element	NOUN
fumecheng-1617	269	28	model	model	NOUN
fumecheng-1617	269	29	applied	apply	VERB
fumecheng-1617	269	30	to	to	ADP
fumecheng-1617	269	31	geometrically	geometrically	ADV
fumecheng-1617	269	32	nonlinear	nonlinear	ADJ
fumecheng-1617	269	33	elastodynamics	elastodynamic	NOUN
fumecheng-1617	269	34	using	use	VERB
fumecheng-1617	269	35	a	a	DET
fumecheng-1617	269	36	corotational	corotational	ADJ
fumecheng-1617	269	37	approach	approach	NOUN
fumecheng-1617	269	38	,	,	PUNCT
fumecheng-1617	269	39	international	international	ADJ
fumecheng-1617	269	40	journal	journal	NOUN
fumecheng-1617	269	41	for	for	ADP
fumecheng-1617	269	42	numerical	numerical	ADJ
fumecheng-1617	269	43	methods	method	NOUN
fumecheng-1617	269	44	in	in	ADP
fumecheng-1617	269	45	engineering	engineering	NOUN
fumecheng-1617	269	46	,	,	PUNCT
fumecheng-1617	269	47	102(13	102(13	NUM
fumecheng-1617	269	48	)	)	PUNCT
fumecheng-1617	269	49	,	,	PUNCT
fumecheng-1617	269	50	pp	pp	ADP
fumecheng-1617	269	51	.	.	PUNCT
fumecheng-1617	270	1	1839	1839	NUM
fumecheng-1617	270	2	-	-	SYM
fumecheng-1617	270	3	1868	1868	NUM
fumecheng-1617	270	4	.	.	PUNCT
fumecheng-1617	271	1	9	9	X
fumecheng-1617	271	2	.	.	X
fumecheng-1617	271	3	nguyen	nguyen	NOUN
fumecheng-1617	271	4	,	,	PUNCT
fumecheng-1617	271	5	v.a	v.a	PROPN
fumecheng-1617	271	6	.	.	PROPN
fumecheng-1617	271	7	,	,	PUNCT
fumecheng-1617	271	8	zehn	zehn	PROPN
fumecheng-1617	271	9	,	,	PUNCT
fumecheng-1617	271	10	m.	m.	NOUN
fumecheng-1617	271	11	,	,	PUNCT
fumecheng-1617	271	12	marinković	marinković	PROPN
fumecheng-1617	271	13	,	,	PUNCT
fumecheng-1617	271	14	d.	d.	PROPN
fumecheng-1617	271	15	,	,	PUNCT
fumecheng-1617	271	16	2014	2014	NUM
fumecheng-1617	271	17	,	,	PUNCT
fumecheng-1617	271	18	effiziente	effiziente	PROPN
fumecheng-1617	271	19	berechnung	berechnung	PROPN
fumecheng-1617	271	20	von	von	PROPN
fumecheng-1617	271	21	geometrischen	geometrischen	PROPN
fumecheng-1617	271	22	und	und	PROPN
fumecheng-1617	271	23	materiellen	materiellen	VERB
fumecheng-1617	271	24	nichtlinearitäten	nichtlinearitäten	VERB
fumecheng-1617	271	25	mit	mit	PROPN
fumecheng-1617	271	26	einer	einer	PROPN
fumecheng-1617	271	27	co	co	ADJ
fumecheng-1617	271	28	-	-	ADJ
fumecheng-1617	271	29	rotationalen	rotationalen	ADJ
fumecheng-1617	271	30	finite	finite	ADJ
fumecheng-1617	271	31	-	-	PUNCT
fumecheng-1617	271	32	elemente	elemente	ADJ
fumecheng-1617	271	33	-	-	PUNCT
fumecheng-1617	271	34	formulierung	formulierung	ADJ
fumecheng-1617	271	35	,	,	PUNCT
fumecheng-1617	271	36	deutschsprachige	deutschsprachige	VERB
fumecheng-1617	271	37	nafems	nafem	NOUN
fumecheng-1617	271	38	konferenz	konferenz	PROPN
fumecheng-1617	271	39	,	,	PUNCT
fumecheng-1617	271	40	bamberg	bamberg	PROPN
fumecheng-1617	271	41	,	,	PUNCT
fumecheng-1617	271	42	germany	germany	PROPN
fumecheng-1617	271	43	.	.	PUNCT
fumecheng-1617	272	1	10	10	NUM
fumecheng-1617	272	2	.	.	PUNCT
fumecheng-1617	272	3	crisfield	crisfield	PROPN
fumecheng-1617	272	4	,	,	PUNCT
fumecheng-1617	272	5	m.a	m.a	PROPN
fumecheng-1617	272	6	.	.	PROPN
fumecheng-1617	272	7	,	,	PUNCT
fumecheng-1617	272	8	2000	2000	NUM
fumecheng-1617	272	9	,	,	PUNCT
fumecheng-1617	272	10	non	non	ADJ
fumecheng-1617	272	11	-	-	ADJ
fumecheng-1617	272	12	linear	linear	ADJ
fumecheng-1617	272	13	finite	finite	ADJ
fumecheng-1617	272	14	element	element	NOUN
fumecheng-1617	272	15	analysis	analysis	NOUN
fumecheng-1617	272	16	of	of	ADP
fumecheng-1617	272	17	solids	solid	NOUN
fumecheng-1617	272	18	and	and	CCONJ
fumecheng-1617	272	19	structures	structure	NOUN
fumecheng-1617	272	20	,	,	PUNCT
fumecheng-1617	272	21	volume	volume	NOUN
fumecheng-1617	272	22	i	i	PRON
fumecheng-1617	272	23	,	,	PUNCT
fumecheng-1617	272	24	essentials	essential	NOUN
fumecheng-1617	272	25	,	,	PUNCT
fumecheng-1617	272	26	johns	johns	PROPN
fumecheng-1617	272	27	wiley	wiley	PROPN
fumecheng-1617	272	28	&	&	CCONJ
fumecheng-1617	272	29	sons	sons	PROPN
fumecheng-1617	272	30	ltd	ltd	PROPN
fumecheng-1617	272	31	,	,	PUNCT
fumecheng-1617	272	32	baffins	baffin	NOUN
fumecheng-1617	272	33	lane	lane	PROPN
fumecheng-1617	272	34	,	,	PUNCT
fumecheng-1617	272	35	chichester	chichester	PROPN
fumecheng-1617	272	36	.	.	PUNCT
fumecheng-1617	273	1	11	11	NUM
fumecheng-1617	273	2	.	.	PUNCT
fumecheng-1617	274	1	bathe	bathe	VERB
fumecheng-1617	274	2	,	,	PUNCT
fumecheng-1617	274	3	k.j	k.j	PROPN
fumecheng-1617	274	4	.	.	PROPN
fumecheng-1617	274	5	,	,	PUNCT
fumecheng-1617	274	6	1996	1996	NUM
fumecheng-1617	274	7	,	,	PUNCT
fumecheng-1617	274	8	finite	finite	PROPN
fumecheng-1617	274	9	element	element	NOUN
fumecheng-1617	274	10	procedures	procedure	NOUN
fumecheng-1617	274	11	,	,	PUNCT
fumecheng-1617	274	12	prentice	prentice	NOUN
fumecheng-1617	274	13	-	-	PUNCT
fumecheng-1617	274	14	hall	hall	NOUN
fumecheng-1617	274	15	,	,	PUNCT
fumecheng-1617	274	16	inc	inc	PROPN
fumecheng-1617	274	17	.	.	PROPN
fumecheng-1617	274	18	,	,	PUNCT
fumecheng-1617	274	19	englewood	englewood	PROPN
fumecheng-1617	274	20	cliffs	cliffs	PROPN
fumecheng-1617	274	21	,	,	PUNCT
fumecheng-1617	274	22	new	new	PROPN
fumecheng-1617	274	23	jersey	jersey	PROPN
fumecheng-1617	274	24	.	.	PUNCT
fumecheng-1617	275	1	12	12	NUM
fumecheng-1617	275	2	.	.	PUNCT
fumecheng-1617	275	3	argyris	argyris	PROPN
fumecheng-1617	275	4	,	,	PUNCT
fumecheng-1617	275	5	j.h	j.h	PROPN
fumecheng-1617	275	6	.	.	PROPN
fumecheng-1617	275	7	,	,	PUNCT
fumecheng-1617	275	8	1982	1982	NUM
fumecheng-1617	275	9	,	,	PUNCT
fumecheng-1617	275	10	an	an	DET
fumecheng-1617	275	11	excursion	excursion	NOUN
fumecheng-1617	275	12	into	into	ADP
fumecheng-1617	275	13	large	large	ADJ
fumecheng-1617	275	14	rotations	rotation	NOUN
fumecheng-1617	275	15	,	,	PUNCT
fumecheng-1617	275	16	computer	computer	NOUN
fumecheng-1617	275	17	methods	method	NOUN
fumecheng-1617	275	18	in	in	ADP
fumecheng-1617	275	19	applied	applied	ADJ
fumecheng-1617	275	20	mechanics	mechanic	NOUN
fumecheng-1617	275	21	and	and	CCONJ
fumecheng-1617	275	22	engineering	engineering	NOUN
fumecheng-1617	275	23	,	,	PUNCT
fumecheng-1617	275	24	32(1	32(1	NUM
fumecheng-1617	275	25	-	-	SYM
fumecheng-1617	275	26	3	3	NUM
fumecheng-1617	275	27	)	)	PUNCT
fumecheng-1617	275	28	,	,	PUNCT
fumecheng-1617	275	29	pp	pp	CCONJ
fumecheng-1617	275	30	,	,	PUNCT
fumecheng-1617	275	31	85	85	NUM
fumecheng-1617	275	32	-	-	SYM
fumecheng-1617	275	33	155	155	NUM
fumecheng-1617	275	34	.	.	NOUN
fumecheng-1617	275	35	13	13	NUM
fumecheng-1617	275	36	.	.	X
fumecheng-1617	276	1	mostafa	mostafa	PROPN
fumecheng-1617	276	2	,	,	PUNCT
fumecheng-1617	276	3	m.	m.	PROPN
fumecheng-1617	276	4	,	,	PUNCT
fumecheng-1617	276	5	sivaselvan	sivaselvan	PROPN
fumecheng-1617	276	6	,	,	PUNCT
fumecheng-1617	276	7	m.v	m.v	PROPN
fumecheng-1617	276	8	.	.	PROPN
fumecheng-1617	276	9	,	,	PUNCT
fumecheng-1617	276	10	felippa	felippa	PROPN
fumecheng-1617	276	11	,	,	PUNCT
fumecheng-1617	276	12	c.a	c.a	PROPN
fumecheng-1617	276	13	.	.	PROPN
fumecheng-1617	276	14	,	,	PUNCT
fumecheng-1617	276	15	2013	2013	NUM
fumecheng-1617	276	16	,	,	PUNCT
fumecheng-1617	276	17	reusing	reuse	VERB
fumecheng-1617	276	18	linear	linear	ADJ
fumecheng-1617	276	19	finite	finite	ADJ
fumecheng-1617	276	20	elements	element	NOUN
fumecheng-1617	276	21	in	in	ADP
fumecheng-1617	276	22	material	material	NOUN
fumecheng-1617	276	23	and	and	CCONJ
fumecheng-1617	276	24	geometrically	geometrically	ADV
fumecheng-1617	276	25	nonlinear	nonlinear	ADJ
fumecheng-1617	276	26	analysis	analysis	NOUN
fumecheng-1617	276	27	-	-	PUNCT
fumecheng-1617	276	28	applications	application	NOUN
fumecheng-1617	276	29	to	to	ADP
fumecheng-1617	276	30	the	the	DET
fumecheng-1617	276	31	plane	plane	NOUN
fumecheng-1617	276	32	stress	stress	NOUN
fumecheng-1617	276	33	problems	problem	NOUN
fumecheng-1617	276	34	,	,	PUNCT
fumecheng-1617	276	35	finite	finite	VERB
fumecheng-1617	276	36	elements	element	NOUN
fumecheng-1617	276	37	in	in	ADP
fumecheng-1617	276	38	analysis	analysis	NOUN
fumecheng-1617	276	39	and	and	CCONJ
fumecheng-1617	276	40	design	design	NOUN
fumecheng-1617	276	41	,	,	PUNCT
fumecheng-1617	276	42	69	69	NUM
fumecheng-1617	276	43	,	,	PUNCT
fumecheng-1617	276	44	pp	pp	ADJ
fumecheng-1617	276	45	.	.	PUNCT
fumecheng-1617	277	1	62	62	NUM
fumecheng-1617	277	2	-	-	SYM
fumecheng-1617	277	3	72	72	NUM
fumecheng-1617	277	4	.	.	PUNCT
fumecheng-1617	278	1	14	14	NUM
fumecheng-1617	278	2	.	.	PUNCT
fumecheng-1617	279	1	simo	simo	PROPN
fumecheng-1617	279	2	,	,	PUNCT
fumecheng-1617	279	3	j.c	j.c	PROPN
fumecheng-1617	279	4	.	.	PROPN
fumecheng-1617	279	5	,	,	PUNCT
fumecheng-1617	279	6	1985	1985	NUM
fumecheng-1617	279	7	,	,	PUNCT
fumecheng-1617	279	8	a	a	DET
fumecheng-1617	279	9	finite	finite	ADJ
fumecheng-1617	279	10	strain	strain	NOUN
fumecheng-1617	279	11	formulation	formulation	NOUN
fumecheng-1617	279	12	.	.	PUNCT
fumecheng-1617	280	1	the	the	DET
fumecheng-1617	280	2	three	three	NUM
fumecheng-1617	280	3	-	-	PUNCT
fumecheng-1617	280	4	dimensional	dimensional	ADJ
fumecheng-1617	280	5	problem	problem	NOUN
fumecheng-1617	280	6	.	.	PUNCT
fumecheng-1617	281	1	part	part	NOUN
fumecheng-1617	281	2	1	1	NUM
fumecheng-1617	281	3	,	,	PUNCT
fumecheng-1617	281	4	computer	computer	NOUN
fumecheng-1617	281	5	methods	method	NOUN
fumecheng-1617	281	6	in	in	ADP
fumecheng-1617	281	7	applied	applied	ADJ
fumecheng-1617	281	8	mechanics	mechanic	NOUN
fumecheng-1617	281	9	and	and	CCONJ
fumecheng-1617	281	10	engineering	engineering	NOUN
fumecheng-1617	281	11	,	,	PUNCT
fumecheng-1617	281	12	49	49	NUM
fumecheng-1617	281	13	,	,	PUNCT
fumecheng-1617	281	14	pp	pp	ADJ
fumecheng-1617	281	15	.	.	PUNCT
fumecheng-1617	282	1	55	55	NUM
fumecheng-1617	282	2	-	-	SYM
fumecheng-1617	282	3	70	70	NUM
fumecheng-1617	282	4	.	.	PUNCT
fumecheng-1617	283	1	15	15	NUM
fumecheng-1617	283	2	.	.	PUNCT
fumecheng-1617	283	3	park	park	NOUN
fumecheng-1617	283	4	,	,	PUNCT
fumecheng-1617	283	5	k.	k.	PROPN
fumecheng-1617	283	6	,	,	PUNCT
fumecheng-1617	283	7	paulino	paulino	PROPN
fumecheng-1617	283	8	,	,	PUNCT
fumecheng-1617	283	9	g.h	g.h	PROPN
fumecheng-1617	283	10	.	.	PROPN
fumecheng-1617	283	11	,	,	PUNCT
fumecheng-1617	283	12	2012	2012	NUM
fumecheng-1617	283	13	,	,	PUNCT
fumecheng-1617	283	14	computational	computational	ADJ
fumecheng-1617	283	15	implementation	implementation	NOUN
fumecheng-1617	283	16	of	of	ADP
fumecheng-1617	283	17	ppr	ppr	NOUN
fumecheng-1617	283	18	potential	potential	NOUN
fumecheng-1617	283	19	-	-	PUNCT
fumecheng-1617	283	20	based	base	VERB
fumecheng-1617	283	21	cohesive	cohesive	ADJ
fumecheng-1617	283	22	model	model	NOUN
fumecheng-1617	283	23	in	in	ADP
fumecheng-1617	283	24	abaqus	abaqus	NOUN
fumecheng-1617	283	25	:	:	PUNCT
fumecheng-1617	283	26	educational	educational	ADJ
fumecheng-1617	283	27	perspective	perspective	NOUN
fumecheng-1617	283	28	,	,	PUNCT
fumecheng-1617	283	29	engineering	engineering	NOUN
fumecheng-1617	283	30	fracture	fracture	NOUN
fumecheng-1617	283	31	mechanics	mechanic	NOUN
fumecheng-1617	283	32	,	,	PUNCT
fumecheng-1617	283	33	93	93	NUM
fumecheng-1617	283	34	,	,	PUNCT
fumecheng-1617	283	35	pp	pp	ADJ
fumecheng-1617	283	36	.	.	PUNCT
fumecheng-1617	284	1	239	239	NUM
fumecheng-1617	284	2	-	-	SYM
fumecheng-1617	284	3	262	262	NUM
fumecheng-1617	284	4	.	.	PUNCT
fumecheng-1617	285	1	16	16	NUM
fumecheng-1617	285	2	.	.	PUNCT
fumecheng-1617	286	1	nutti	nutti	PROPN
fumecheng-1617	286	2	,	,	PUNCT
fumecheng-1617	286	3	b.	b.	PROPN
fumecheng-1617	286	4	,	,	PUNCT
fumecheng-1617	286	5	marinković	marinković	PROPN
fumecheng-1617	286	6	,	,	PUNCT
fumecheng-1617	286	7	d.	d.	PROPN
fumecheng-1617	286	8	,	,	PUNCT
fumecheng-1617	286	9	2014	2014	NUM
fumecheng-1617	286	10	,	,	PUNCT
fumecheng-1617	286	11	an	an	DET
fumecheng-1617	286	12	approach	approach	NOUN
fumecheng-1617	286	13	to	to	ADP
fumecheng-1617	286	14	efficient	efficient	ADJ
fumecheng-1617	286	15	fem	fem	NOUN
fumecheng-1617	286	16	simulations	simulation	NOUN
fumecheng-1617	286	17	on	on	ADP
fumecheng-1617	286	18	graphics	graphic	NOUN
fumecheng-1617	286	19	processing	processing	NOUN
fumecheng-1617	286	20	units	unit	NOUN
fumecheng-1617	286	21	using	use	VERB
fumecheng-1617	286	22	cuda	cuda	NOUN
fumecheng-1617	286	23	,	,	PUNCT
fumecheng-1617	286	24	facta	facta	PROPN
fumecheng-1617	286	25	universitatis	universitatis	PROPN
fumecheng-1617	286	26	series	series	NOUN
fumecheng-1617	286	27	:	:	PUNCT
fumecheng-1617	286	28	mechanical	mechanical	ADJ
fumecheng-1617	286	29	engineering	engineering	NOUN
fumecheng-1617	286	30	,	,	PUNCT
fumecheng-1617	286	31	12(1	12(1	NUM
fumecheng-1617	286	32	)	)	PUNCT
fumecheng-1617	286	33	,	,	PUNCT
fumecheng-1617	286	34	pp	pp	PROPN
fumecheng-1617	286	35	.	.	PUNCT
fumecheng-1617	287	1	15	15	NUM
fumecheng-1617	287	2	-	-	SYM
fumecheng-1617	287	3	25	25	NUM
fumecheng-1617	287	4	.	.	PUNCT