id	sid	tid	token	lemma	pos
ap-624	1	1	ap04-bittnar1.vp	ap04-bittnar1.vp	PROPN
ap-624	1	2	1	1	NUM
ap-624	1	3	introduction	introduction	NOUN
ap-624	1	4	the	the	DET
ap-624	1	5	basic	basic	ADJ
ap-624	1	6	unknowns	unknown	NOUN
ap-624	1	7	are	be	AUX
ap-624	1	8	elongations	elongation	NOUN
ap-624	1	9	in	in	ADP
ap-624	1	10	the	the	DET
ap-624	1	11	directions	direction	NOUN
ap-624	1	12	of	of	ADP
ap-624	1	13	edges	edge	NOUN
ap-624	1	14	�	�	PROPN
ap-624	1	15	21	21	NUM
ap-624	1	16	,	,	PUNCT
ap-624	1	17	�	�	PROPN
ap-624	1	18	32	32	NUM
ap-624	1	19	,	,	PUNCT
ap-624	1	20	�	�	PROPN
ap-624	1	21	13	13	NUM
ap-624	1	22	and	and	CCONJ
ap-624	1	23	pure	pure	ADJ
ap-624	1	24	rotations	rotation	NOUN
ap-624	1	25	�	�	PROPN
ap-624	1	26	iz	iz	NOUN
ap-624	1	27	of	of	ADP
ap-624	1	28	a	a	DET
ap-624	1	29	small	small	ADJ
ap-624	1	30	neighbourhood	neighbourhood	NOUN
ap-624	1	31	of	of	ADP
ap-624	1	32	a	a	DET
ap-624	1	33	node	node	NOUN
ap-624	1	34	(	(	PUNCT
ap-624	1	35	considered	consider	VERB
ap-624	1	36	rigid	rigid	ADJ
ap-624	1	37	)	)	PUNCT
ap-624	1	38	about	about	ADP
ap-624	1	39	the	the	DET
ap-624	1	40	z	z	NOUN
ap-624	1	41	-	-	PUNCT
ap-624	1	42	axis	axis	NOUN
ap-624	1	43	passing	pass	VERB
ap-624	1	44	through	through	ADP
ap-624	1	45	vertex	vertex	NOUN
ap-624	1	46	i	i	PRON
ap-624	1	47	,	,	PUNCT
ap-624	2	1	where	where	SCONJ
ap-624	2	2	i	i	PRON
ap-624	2	3	�	�	PROPN
ap-624	2	4	1	1	NUM
ap-624	2	5	,	,	PUNCT
ap-624	2	6	2	2	NUM
ap-624	2	7	,	,	PUNCT
ap-624	2	8	3	3	NUM
ap-624	2	9	.	.	PUNCT
ap-624	2	10	the	the	DET
ap-624	2	11	effect	effect	NOUN
ap-624	2	12	of	of	ADP
ap-624	2	13	pure	pure	ADJ
ap-624	2	14	swing	swing	NOUN
ap-624	2	15	is	be	AUX
ap-624	2	16	transferred	transfer	VERB
ap-624	2	17	to	to	ADP
ap-624	2	18	the	the	DET
ap-624	2	19	elongations	elongation	NOUN
ap-624	2	20	of	of	ADP
ap-624	2	21	the	the	DET
ap-624	2	22	edges	edge	NOUN
ap-624	2	23	and	and	CCONJ
ap-624	2	24	is	be	AUX
ap-624	2	25	taken	take	VERB
ap-624	2	26	into	into	ADP
ap-624	2	27	account	account	NOUN
ap-624	2	28	in	in	ADP
ap-624	2	29	formulating	formulating	NOUN
ap-624	2	30	of	of	ADP
ap-624	2	31	the	the	DET
ap-624	2	32	element	element	ADJ
ap-624	2	33	stiffness	stiffness	NOUN
ap-624	2	34	matrix	matrix	NOUN
ap-624	2	35	.	.	PUNCT
ap-624	3	1	the	the	DET
ap-624	3	2	static	static	ADJ
ap-624	3	3	matrix	matrix	NOUN
ap-624	3	4	(	(	PUNCT
ap-624	3	5	see	see	VERB
ap-624	3	6	section	section	NOUN
ap-624	3	7	“	"	PUNCT
ap-624	3	8	element	element	ADJ
ap-624	3	9	stiffness	stiffness	NOUN
ap-624	3	10	matrix	matrix	NOUN
ap-624	3	11	”	"	PUNCT
ap-624	3	12	)	)	PUNCT
ap-624	3	13	supports	support	VERB
ap-624	3	14	the	the	DET
ap-624	3	15	rigid	rigid	ADJ
ap-624	3	16	body	body	NOUN
ap-624	3	17	motion	motion	NOUN
ap-624	3	18	(	(	PUNCT
ap-624	3	19	rbm	rbm	PROPN
ap-624	3	20	)	)	PUNCT
ap-624	3	21	.	.	PUNCT
ap-624	4	1	2	2	NUM
ap-624	4	2	element	element	NOUN
ap-624	4	3	displacement	displacement	ADJ
ap-624	4	4	derivation	derivation	NOUN
ap-624	4	5	of	of	ADP
ap-624	4	6	the	the	DET
ap-624	4	7	element	element	ADJ
ap-624	4	8	stiffness	stiffness	NOUN
ap-624	4	9	matrix	matrix	NOUN
ap-624	4	10	relies	rely	VERB
ap-624	4	11	on	on	ADP
ap-624	4	12	hrenikoff	hrenikoff	PROPN
ap-624	4	13	’s	’s	PART
ap-624	4	14	idea	idea	NOUN
ap-624	4	15	that	that	SCONJ
ap-624	4	16	a	a	DET
ap-624	4	17	triangular	triangular	NOUN
ap-624	4	18	element	element	NOUN
ap-624	4	19	can	can	AUX
ap-624	4	20	be	be	AUX
ap-624	4	21	represented	represent	VERB
ap-624	4	22	by	by	ADP
ap-624	4	23	a	a	DET
ap-624	4	24	system	system	NOUN
ap-624	4	25	of	of	ADP
ap-624	4	26	lines	line	NOUN
ap-624	4	27	parallel	parallel	ADJ
ap-624	4	28	to	to	ADP
ap-624	4	29	the	the	DET
ap-624	4	30	edges	edge	NOUN
ap-624	4	31	.	.	PUNCT
ap-624	5	1	owing	owe	VERB
ap-624	5	2	to	to	ADP
ap-624	5	3	this	this	DET
ap-624	5	4	idea	idea	NOUN
ap-624	5	5	we	we	PRON
ap-624	5	6	further	far	ADV
ap-624	5	7	assume	assume	VERB
ap-624	5	8	that	that	SCONJ
ap-624	5	9	displacements	displacement	NOUN
ap-624	5	10	along	along	ADP
ap-624	5	11	individual	individual	ADJ
ap-624	5	12	element	element	NOUN
ap-624	5	13	sides	side	NOUN
ap-624	5	14	are	be	AUX
ap-624	5	15	mutually	mutually	ADV
ap-624	5	16	independent	independent	ADJ
ap-624	5	17	.	.	PUNCT
ap-624	6	1	triangular	triangular	PROPN
ap-624	6	2	coordinates	coordinate	NOUN
ap-624	6	3	li	li	PROPN
ap-624	6	4	(	(	PUNCT
ap-624	6	5	appendix	appendix	VERB
ap-624	6	6	a	a	PRON
ap-624	6	7	)	)	PUNCT
ap-624	6	8	are	be	AUX
ap-624	6	9	used	use	VERB
ap-624	6	10	to	to	PART
ap-624	6	11	describe	describe	VERB
ap-624	6	12	the	the	DET
ap-624	6	13	basic	basic	ADJ
ap-624	6	14	displacement	displacement	ADJ
ap-624	6	15	field	field	NOUN
ap-624	6	16	uij(r	uij(r	PROPN
ap-624	6	17	,	,	PUNCT
ap-624	6	18	s	s	PART
ap-624	6	19	)	)	PUNCT
ap-624	6	20	derived	derive	VERB
ap-624	6	21	from	from	ADP
ap-624	6	22	pure	pure	ADJ
ap-624	6	23	deformations	deformation	NOUN
ap-624	6	24	and	and	CCONJ
ap-624	6	25	rotations	rotation	NOUN
ap-624	6	26	.	.	PUNCT
ap-624	7	1	here	here	ADV
ap-624	7	2	,	,	PUNCT
ap-624	7	3	the	the	DET
ap-624	7	4	pure	pure	ADJ
ap-624	7	5	deformations	deformation	NOUN
ap-624	7	6	are	be	AUX
ap-624	7	7	defined	define	VERB
ap-624	7	8	through	through	ADP
ap-624	7	9	elongations	elongation	NOUN
ap-624	7	10	of	of	ADP
ap-624	7	11	the	the	DET
ap-624	7	12	individual	individual	ADJ
ap-624	7	13	edges	edge	NOUN
ap-624	7	14	and	and	CCONJ
ap-624	7	15	denoted	denote	VERB
ap-624	7	16	as	as	ADP
ap-624	7	17	u21	u21	NOUN
ap-624	7	18	,	,	PUNCT
ap-624	7	19	u32	u32	PROPN
ap-624	7	20	,	,	PUNCT
ap-624	7	21	…	…	PUNCT
ap-624	7	22	,	,	PUNCT
ap-624	7	23	u13	u13	NOUN
ap-624	7	24	.	.	PUNCT
ap-624	8	1	they	they	PRON
ap-624	8	2	are	be	AUX
ap-624	8	3	composed	compose	VERB
ap-624	8	4	of	of	ADP
ap-624	8	5	two	two	NUM
ap-624	8	6	parts	part	NOUN
ap-624	8	7	–	–	PUNCT
ap-624	8	8	pure	pure	ADJ
ap-624	8	9	extensions	extension	NOUN
ap-624	8	10	due	due	ADJ
ap-624	8	11	to	to	ADP
ap-624	8	12	node	node	ADJ
ap-624	8	13	displacements	displacement	NOUN
ap-624	8	14	and	and	CCONJ
ap-624	8	15	pure	pure	ADJ
ap-624	8	16	extensions	extension	NOUN
ap-624	8	17	caused	cause	VERB
ap-624	8	18	by	by	ADP
ap-624	8	19	node	node	ADJ
ap-624	8	20	rotations	rotation	NOUN
ap-624	8	21	.	.	PUNCT
ap-624	9	1	pure	pure	ADJ
ap-624	9	2	extensions	extension	NOUN
ap-624	9	3	in	in	ADP
ap-624	9	4	terms	term	NOUN
ap-624	9	5	of	of	ADP
ap-624	9	6	nodal	nodal	ADJ
ap-624	9	7	elongations	elongation	NOUN
ap-624	9	8	.	.	PUNCT
ap-624	10	1	with	with	ADP
ap-624	10	2	the	the	DET
ap-624	10	3	help	help	NOUN
ap-624	10	4	of	of	ADP
ap-624	10	5	these	these	DET
ap-624	10	6	quantities	quantity	NOUN
ap-624	10	7	we	we	PRON
ap-624	10	8	may	may	AUX
ap-624	10	9	express	express	VERB
ap-624	10	10	the	the	DET
ap-624	10	11	elongations	elongation	NOUN
ap-624	10	12	of	of	ADP
ap-624	10	13	edges	edge	NOUN
ap-624	10	14	�	�	NOUN
ap-624	10	15	uij(r	uij(r	PROPN
ap-624	10	16	,	,	PUNCT
ap-624	10	17	s	s	PART
ap-624	10	18	)	)	PUNCT
ap-624	10	19	at	at	ADP
ap-624	10	20	the	the	DET
ap-624	10	21	point	point	NOUN
ap-624	10	22	r	r	NOUN
ap-624	10	23	,	,	PUNCT
ap-624	10	24	s	s	NOUN
ap-624	10	25	by	by	ADP
ap-624	10	26	�	�	PROPN
ap-624	10	27	�	�	PROPN
ap-624	10	28	�	�	PROPN
ap-624	10	29	u	u	NOUN
ap-624	10	30	r	r	NOUN
ap-624	10	31	s	s	NOUN
ap-624	10	32	n	n	PRON
ap-624	10	33	r	r	NOUN
ap-624	10	34	s	s	NOUN
ap-624	10	35	u	u	NOUN
ap-624	10	36	l	l	NOUN
ap-624	10	37	uij	uij	PRON
ap-624	11	1	i	i	INTJ
ap-624	11	2	ij	ij	INTJ
ap-624	12	1	i	i	PRON
ap-624	12	2	ij	ij	VERB
ap-624	12	3	(	(	PUNCT
ap-624	12	4	,	,	PUNCT
ap-624	12	5	)	)	PUNCT
ap-624	12	6	(	(	PUNCT
ap-624	12	7	,	,	PUNCT
ap-624	12	8	)	)	PUNCT
ap-624	12	9	�	�	PROPN
ap-624	12	10	�	�	PROPN
ap-624	12	11	�	�	PROPN
ap-624	12	12	�	�	PROPN
ap-624	12	13	.	.	PUNCT
ap-624	13	1	(	(	PUNCT
ap-624	13	2	1	1	X
ap-624	13	3	)	)	PUNCT
ap-624	13	4	pure	pure	ADJ
ap-624	13	5	extensions	extension	NOUN
ap-624	13	6	in	in	ADP
ap-624	13	7	terms	term	NOUN
ap-624	13	8	of	of	ADP
ap-624	13	9	nodal	nodal	NOUN
ap-624	13	10	rotations	rotation	NOUN
ap-624	13	11	.	.	PUNCT
ap-624	14	1	associating	associate	VERB
ap-624	14	2	the	the	DET
ap-624	14	3	rotation	rotation	NOUN
ap-624	14	4	in	in	ADP
ap-624	14	5	node	node	NOUN
ap-624	14	6	1	1	NUM
ap-624	14	7	with	with	ADP
ap-624	14	8	�	�	PROPN
ap-624	14	9	1	1	NUM
ap-624	14	10	�	�	PROPN
ap-624	14	11	1	1	NUM
ap-624	14	12	we	we	PRON
ap-624	14	13	write	write	VERB
ap-624	14	14	the	the	DET
ap-624	14	15	pure	pure	ADJ
ap-624	14	16	extension	extension	NOUN
ap-624	14	17	along	along	ADP
ap-624	14	18	the	the	DET
ap-624	14	19	edges	edge	NOUN
ap-624	14	20	in	in	ADP
ap-624	14	21	terms	term	NOUN
ap-624	14	22	of	of	ADP
ap-624	14	23	cubic	cubic	ADJ
ap-624	14	24	shape	shape	NOUN
ap-624	14	25	functions	function	NOUN
ap-624	14	26	in	in	ADP
ap-624	14	27	fig	fig	NOUN
ap-624	14	28	.	.	PUNCT
ap-624	15	1	2	2	X
ap-624	15	2	.	.	X
ap-624	16	1	k	k	PROPN
ap-624	17	1	k	k	PROPN
ap-624	17	2	r	r	NOUN
ap-624	17	3	s	s	PROPN
ap-624	17	4	l	l	NOUN
ap-624	17	5	l	l	NOUN
ap-624	17	6	l	l	NOUN
ap-624	17	7	r	r	NOUN
ap-624	17	8	s	s	PROPN
ap-624	17	9	l	l	NOUN
ap-624	17	10	l	l	NOUN
ap-624	17	11	l	l	X
ap-624	17	12	�	�	PROPN
ap-624	17	13	�	�	PROPN
ap-624	17	14	21	21	NUM
ap-624	17	15	2	2	NUM
ap-624	17	16	1	1	NUM
ap-624	17	17	2	2	NUM
ap-624	17	18	21	21	NUM
ap-624	17	19	1	1	NUM
ap-624	17	20	13	13	NUM
ap-624	17	21	3	3	NUM
ap-624	17	22	1	1	NUM
ap-624	17	23	2	2	NUM
ap-624	17	24	13	13	NUM
ap-624	17	25	1	1	NUM
ap-624	17	26	(	(	PUNCT
ap-624	17	27	,	,	PUNCT
ap-624	17	28	)	)	PUNCT
ap-624	17	29	,	,	PUNCT
ap-624	17	30	(	(	PUNCT
ap-624	17	31	,	,	PUNCT
ap-624	17	32	)	)	PUNCT
ap-624	17	33	,	,	PUNCT
ap-624	17	34	�	�	PROPN
ap-624	17	35	�	�	PROPN
ap-624	17	36	�	�	PROPN
ap-624	17	37	�	�	PROPN
ap-624	17	38	(	(	PUNCT
ap-624	17	39	2	2	NUM
ap-624	17	40	)	)	PUNCT
ap-624	17	41	where	where	SCONJ
ap-624	17	42	lij	lij	PROPN
ap-624	17	43	are	be	AUX
ap-624	17	44	the	the	DET
ap-624	17	45	lengths	length	NOUN
ap-624	17	46	associated	associate	VERB
ap-624	17	47	with	with	ADP
ap-624	17	48	sides	side	NOUN
ap-624	17	49	ij	ij	NOUN
ap-624	17	50	.	.	PUNCT
ap-624	18	1	rotation	rotation	NOUN
ap-624	18	2	�	�	PROPN
ap-624	18	3	i	i	PRON
ap-624	18	4	causes	cause	VERB
ap-624	18	5	in	in	ADP
ap-624	18	6	node	node	NOUN
ap-624	18	7	(	(	PUNCT
ap-624	18	8	r	r	NOUN
ap-624	18	9	,	,	PUNCT
ap-624	18	10	s	s	NOUN
ap-624	18	11	)	)	PUNCT
ap-624	18	12	two	two	NUM
ap-624	18	13	displacements	displacement	NOUN
ap-624	18	14	k	k	X
ap-624	18	15	�	�	PROPN
ap-624	18	16	ij	ij	NOUN
ap-624	18	17	perpendicular	perpendicular	NOUN
ap-624	18	18	to	to	ADP
ap-624	18	19	lines	line	NOUN
ap-624	18	20	that	that	PRON
ap-624	18	21	are	be	AUX
ap-624	18	22	parallel	parallel	ADJ
ap-624	18	23	with	with	ADP
ap-624	18	24	sides	side	NOUN
ap-624	18	25	ij	ij	X
ap-624	18	26	(	(	PUNCT
ap-624	18	27	fig	fig	NOUN
ap-624	18	28	.	.	PUNCT
ap-624	19	1	2	2	NUM
ap-624	19	2	)	)	PUNCT
ap-624	19	3	.	.	PUNCT
ap-624	20	1	superscript	superscript	PROPN
ap-624	20	2	k	k	PROPN
ap-624	20	3	means	mean	VERB
ap-624	20	4	the	the	DET
ap-624	20	5	node	node	NOUN
ap-624	20	6	about	about	ADP
ap-624	20	7	which	which	PRON
ap-624	20	8	the	the	DET
ap-624	20	9	rotation	rotation	NOUN
ap-624	20	10	takes	take	VERB
ap-624	20	11	place	place	NOUN
ap-624	20	12	.	.	PUNCT
ap-624	21	1	extensions	extension	NOUN
ap-624	21	2	�	�	NOUN
ap-624	21	3	iuij(r	iuij(r	PROPN
ap-624	21	4	,	,	PUNCT
ap-624	21	5	s	s	NOUN
ap-624	21	6	)	)	PUNCT
ap-624	21	7	of	of	ADP
ap-624	21	8	three	three	NUM
ap-624	21	9	lines	line	NOUN
ap-624	21	10	parallel	parallel	VERB
ap-624	21	11	with	with	ADP
ap-624	21	12	edges	edge	NOUN
ap-624	21	13	,	,	PUNCT
ap-624	21	14	which	which	PRON
ap-624	21	15	pass	pass	VERB
ap-624	21	16	point	point	NOUN
ap-624	21	17	(	(	PUNCT
ap-624	21	18	r	r	NOUN
ap-624	21	19	,	,	PUNCT
ap-624	21	20	s	s	PART
ap-624	21	21	)	)	PUNCT
ap-624	21	22	,	,	PUNCT
ap-624	21	23	due	due	ADP
ap-624	21	24	to	to	ADP
ap-624	21	25	the	the	DET
ap-624	21	26	vertex	vertex	NOUN
ap-624	21	27	rotations	rotation	NOUN
ap-624	21	28	�	�	X
ap-624	21	29	i	i	PRON
ap-624	21	30	(	(	PUNCT
ap-624	21	31	superscript	superscript	PROPN
ap-624	21	32	�	�	PROPN
ap-624	21	33	i	i	NOUN
ap-624	21	34	)	)	PUNCT
ap-624	21	35	need	need	VERB
ap-624	21	36	to	to	PART
ap-624	21	37	be	be	AUX
ap-624	21	38	expressed	express	VERB
ap-624	21	39	.	.	PUNCT
ap-624	22	1	these	these	DET
ap-624	22	2	elongations	elongation	NOUN
ap-624	22	3	�	�	VERB
ap-624	22	4	iuij(r	iuij(r	PROPN
ap-624	22	5	,	,	PUNCT
ap-624	22	6	s	s	PART
ap-624	22	7	)	)	PUNCT
ap-624	22	8	are	be	AUX
ap-624	22	9	obtained	obtain	VERB
ap-624	22	10	by	by	ADP
ap-624	22	11	projecting	project	VERB
ap-624	22	12	k	k	PROPN
ap-624	22	13	�	�	PROPN
ap-624	22	14	ij	ij	NOUN
ap-624	22	15	in	in	ADP
ap-624	22	16	the	the	DET
ap-624	22	17	corresponding	corresponding	ADJ
ap-624	22	18	directions	direction	NOUN
ap-624	22	19	ij	ij	NOUN
ap-624	22	20	.	.	PUNCT
ap-624	23	1	elongations	elongation	NOUN
ap-624	23	2	from	from	ADP
ap-624	23	3	the	the	DET
ap-624	23	4	rotation	rotation	NOUN
ap-624	23	5	in	in	ADP
ap-624	23	6	node	node	PROPN
ap-624	23	7	1	1	NUM
ap-624	23	8	(	(	PUNCT
ap-624	23	9	fig	fig	NOUN
ap-624	23	10	.	.	PUNCT
ap-624	24	1	3	3	X
ap-624	24	2	)	)	PUNCT
ap-624	24	3	can	can	AUX
ap-624	24	4	be	be	AUX
ap-624	24	5	written	write	VERB
ap-624	24	6	as	as	ADP
ap-624	24	7	©	©	PROPN
ap-624	24	8	czech	czech	PROPN
ap-624	24	9	technical	technical	PROPN
ap-624	24	10	university	university	PROPN
ap-624	24	11	publishing	publishing	NOUN
ap-624	24	12	house	house	NOUN
ap-624	24	13	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-624	24	14	75	75	NUM
ap-624	24	15	acta	acta	PROPN
ap-624	24	16	polytechnica	polytechnica	PROPN
ap-624	24	17	vol	vol	NOUN
ap-624	24	18	.	.	PROPN
ap-624	25	1	44	44	NUM
ap-624	25	2	no	no	NOUN
ap-624	25	3	.	.	PUNCT
ap-624	26	1	5–6/2004	5–6/2004	NUM
ap-624	26	2	membrane	membrane	NOUN
ap-624	26	3	triangles	triangle	NOUN
ap-624	26	4	with	with	ADP
ap-624	26	5	drilling	drilling	NOUN
ap-624	26	6	degrees	degree	NOUN
ap-624	26	7	of	of	ADP
ap-624	26	8	freedom	freedom	NOUN
ap-624	26	9	p.	p.	PROPN
ap-624	26	10	fajman	fajman	NOUN
ap-624	26	11	an	an	DET
ap-624	26	12	accurate	accurate	ADJ
ap-624	26	13	triangular	triangular	NOUN
ap-624	26	14	plane	plane	NOUN
ap-624	26	15	element	element	NOUN
ap-624	26	16	with	with	ADP
ap-624	26	17	drilling	drilling	NOUN
ap-624	26	18	degrees	degree	NOUN
ap-624	26	19	of	of	ADP
ap-624	26	20	freedom	freedom	NOUN
ap-624	26	21	is	be	AUX
ap-624	26	22	shown	show	VERB
ap-624	26	23	in	in	ADP
ap-624	26	24	this	this	DET
ap-624	26	25	paper	paper	NOUN
ap-624	26	26	.	.	PUNCT
ap-624	27	1	this	this	DET
ap-624	27	2	element	element	NOUN
ap-624	27	3	can	can	AUX
ap-624	27	4	be	be	AUX
ap-624	27	5	successfully	successfully	ADV
ap-624	27	6	used	use	VERB
ap-624	27	7	for	for	ADP
ap-624	27	8	solving	solve	VERB
ap-624	27	9	linear	linear	NOUN
ap-624	27	10	and	and	CCONJ
ap-624	27	11	nonlinear	nonlinear	ADJ
ap-624	27	12	problems	problem	NOUN
ap-624	27	13	.	.	PUNCT
ap-624	28	1	the	the	DET
ap-624	28	2	main	main	ADJ
ap-624	28	3	advantage	advantage	NOUN
ap-624	28	4	of	of	ADP
ap-624	28	5	this	this	DET
ap-624	28	6	element	element	NOUN
ap-624	28	7	is	be	AUX
ap-624	28	8	that	that	SCONJ
ap-624	28	9	the	the	DET
ap-624	28	10	stiffness	stiffness	ADJ
ap-624	28	11	matrix	matrix	NOUN
ap-624	28	12	is	be	AUX
ap-624	28	13	obtained	obtain	VERB
ap-624	28	14	from	from	ADP
ap-624	28	15	pure	pure	ADJ
ap-624	28	16	deformations	deformation	NOUN
ap-624	28	17	–	–	PUNCT
ap-624	28	18	elongations	elongation	NOUN
ap-624	28	19	of	of	ADP
ap-624	28	20	the	the	DET
ap-624	28	21	edges	edge	NOUN
ap-624	28	22	.	.	PUNCT
ap-624	29	1	this	this	DET
ap-624	29	2	aproach	aproach	NOUN
ap-624	29	3	is	be	AUX
ap-624	29	4	very	very	ADV
ap-624	29	5	suitable	suitable	ADJ
ap-624	29	6	for	for	ADP
ap-624	29	7	nonlinear	nonlinear	ADJ
ap-624	29	8	analysis	analysis	NOUN
ap-624	29	9	,	,	PUNCT
ap-624	29	10	where	where	SCONJ
ap-624	29	11	the	the	DET
ap-624	29	12	unbalanced	unbalanced	ADJ
ap-624	29	13	forces	force	NOUN
ap-624	29	14	can	can	AUX
ap-624	29	15	be	be	AUX
ap-624	29	16	obtained	obtain	VERB
ap-624	29	17	directly	directly	ADV
ap-624	29	18	from	from	ADP
ap-624	29	19	elongations	elongation	NOUN
ap-624	29	20	of	of	ADP
ap-624	29	21	edges	edge	NOUN
ap-624	29	22	.	.	PUNCT
ap-624	30	1	keywords	keyword	NOUN
ap-624	30	2	:	:	PUNCT
ap-624	30	3	triangular	triangular	NOUN
ap-624	30	4	,	,	PUNCT
ap-624	30	5	element	element	NOUN
ap-624	30	6	,	,	PUNCT
ap-624	30	7	elongations	elongation	NOUN
ap-624	30	8	,	,	PUNCT
ap-624	30	9	rigid	rigid	ADJ
ap-624	30	10	,	,	PUNCT
ap-624	30	11	displacement	displacement	NOUN
ap-624	30	12	.	.	PUNCT
ap-624	31	1	1	1	NUM
ap-624	31	2	2	2	NUM
ap-624	31	3	3	3	NUM
ap-624	31	4	r	r	NOUN
ap-624	31	5	,	,	PUNCT
ap-624	31	6	s	s	NOUN
ap-624	31	7	�	�	PROPN
ap-624	31	8	u21	u21	PROPN
ap-624	31	9	�	�	PROPN
ap-624	31	10	u21(r	u21(r	NOUN
ap-624	31	11	,	,	PUNCT
ap-624	31	12	s	s	NOUN
ap-624	31	13	)	)	PUNCT
ap-624	31	14	1	1	NUM
ap-624	31	15	2	2	NUM
ap-624	31	16	3	3	NUM
ap-624	31	17	r	r	NOUN
ap-624	31	18	,	,	PUNCT
ap-624	31	19	s	s	PROPN
ap-624	31	20	n2(r	n2(r	PROPN
ap-624	31	21	,	,	PUNCT
ap-624	31	22	s	s	PART
ap-624	31	23	)	)	PUNCT
ap-624	31	24	=	=	NOUN
ap-624	31	25	l2	l2	NOUN
ap-624	31	26	s	s	NOUN
ap-624	31	27	r	r	NOUN
ap-624	31	28	fig	fig	NOUN
ap-624	31	29	.	.	PUNCT
ap-624	32	1	1	1	NUM
ap-624	32	2	:	:	PUNCT
ap-624	32	3	node	node	ADJ
ap-624	32	4	displacement	displacement	ADJ
ap-624	32	5	field	field	NOUN
ap-624	32	6	�	�	PROPN
ap-624	32	7	u21(r	u21(r	NOUN
ap-624	32	8	,	,	PUNCT
ap-624	32	9	s	s	NOUN
ap-624	32	10	)	)	PUNCT
ap-624	32	11	1	1	NUM
ap-624	32	12	2	2	NUM
ap-624	32	13	3	3	NUM
ap-624	32	14	r	r	NOUN
ap-624	32	15	,	,	PUNCT
ap-624	32	16	s	s	NOUN
ap-624	32	17	1	1	NUM
ap-624	32	18	�	�	NOUN
ap-624	32	19	13(r	13(r	NUM
ap-624	32	20	,	,	PUNCT
ap-624	32	21	s	s	PART
ap-624	32	22	)	)	PUNCT
ap-624	32	23	1	1	NUM
ap-624	32	24	�	�	PROPN
ap-624	32	25	21(r	21(r	NUM
ap-624	32	26	,	,	PUNCT
ap-624	32	27	s	s	NOUN
ap-624	32	28	)	)	PUNCT
ap-624	32	29	1	1	NUM
ap-624	32	30	fig	fig	NOUN
ap-624	32	31	.	.	PUNCT
ap-624	33	1	2	2	NUM
ap-624	33	2	:	:	PUNCT
ap-624	33	3	extension	extension	NOUN
ap-624	33	4	from	from	ADP
ap-624	33	5	pure	pure	ADJ
ap-624	33	6	rotation	rotation	NOUN
ap-624	33	7	�	�	PROPN
ap-624	33	8	1	1	NUM
ap-624	33	9	�	�	PROPN
ap-624	33	10	1	1	NUM
ap-624	33	11	�	�	PROPN
ap-624	33	12	�	�	PROPN
ap-624	33	13	1	1	NUM
ap-624	33	14	1	1	NUM
ap-624	33	15	21	21	NUM
ap-624	33	16	21	21	NUM
ap-624	33	17	1	1	NUM
ap-624	33	18	13	13	NUM
ap-624	33	19	13	13	NUM
ap-624	33	20	1	1	NUM
ap-624	33	21	21	21	NUM
ap-624	33	22	2	2	NUM
ap-624	33	23	1	1	NUM
ap-624	33	24	2	2	NUM
ap-624	33	25	21	21	NUM
ap-624	33	26	u	u	NOUN
ap-624	33	27	r	r	NOUN
ap-624	33	28	s	s	PROPN
ap-624	33	29	l	l	NOUN
ap-624	33	30	l	l	NOUN
ap-624	33	31	l	l	NOUN
ap-624	34	1	ij	ij	INTJ
ap-624	34	2	ij	ij	INTJ
ap-624	34	3	ij	ij	INTJ
ap-624	35	1	i	i	PRON
ap-624	35	2	(	(	PUNCT
ap-624	35	3	,	,	PUNCT
ap-624	35	4	)	)	PUNCT
ap-624	35	5	�	�	PROPN
ap-624	35	6	�	�	PROPN
ap-624	35	7	�	�	PROPN
ap-624	35	8	�	�	PROPN
ap-624	35	9	�	�	PROPN
ap-624	35	10	�	�	PROPN
ap-624	35	11	�	�	PROPN
ap-624	35	12	n	n	ADP
ap-624	35	13	t	t	PROPN
ap-624	35	14	n	n	ADP
ap-624	35	15	t	t	PROPN
ap-624	35	16	n	n	ADP
ap-624	35	17	t	t	PROPN
ap-624	35	18	j	j	PROPN
ap-624	35	19	ijl	ijl	PROPN
ap-624	35	20	l	l	PROPN
ap-624	35	21	l	l	X
ap-624	35	22	�	�	X
ap-624	35	23	�	�	PROPN
ap-624	35	24	1	1	NUM
ap-624	35	25	13	13	NUM
ap-624	35	26	3	3	NUM
ap-624	35	27	1	1	NUM
ap-624	35	28	2	2	NUM
ap-624	35	29	13n	13n	NOUN
ap-624	35	30	t	t	PROPN
ap-624	35	31	,	,	PUNCT
ap-624	35	32	(	(	PUNCT
ap-624	35	33	3	3	X
ap-624	35	34	)	)	PUNCT
ap-624	35	35	where	where	SCONJ
ap-624	35	36	i	i	PRON
ap-624	35	37	�	�	PROPN
ap-624	35	38	2	2	NUM
ap-624	35	39	,	,	PUNCT
ap-624	35	40	3	3	NUM
ap-624	35	41	,	,	PUNCT
ap-624	35	42	1	1	NUM
ap-624	35	43	and	and	CCONJ
ap-624	35	44	j	j	PROPN
ap-624	35	45	�	�	PROPN
ap-624	35	46	1	1	NUM
ap-624	35	47	,	,	PUNCT
ap-624	35	48	2	2	NUM
ap-624	35	49	,	,	PUNCT
ap-624	35	50	3	3	NUM
ap-624	35	51	,	,	PUNCT
ap-624	35	52	and	and	CCONJ
ap-624	35	53	{	{	PUNCT
ap-624	35	54	}	}	PUNCT
ap-624	35	55	{	{	PUNCT
ap-624	35	56	,	,	PUNCT
ap-624	35	57	}	}	PUNCT
ap-624	35	58	{	{	PUNCT
ap-624	35	59	cos	cos	X
ap-624	35	60	,	,	PUNCT
ap-624	35	61	sin	sin	NOUN
ap-624	35	62	}	}	PUNCT
ap-624	35	63	n	n	CCONJ
ap-624	35	64	ij	ij	NOUN
ap-624	35	65	xij	xij	PROPN
ap-624	35	66	yij	yij	PROPN
ap-624	35	67	nij	nij	PROPN
ap-624	35	68	nijn	nijn	PROPN
ap-624	35	69	n	n	CCONJ
ap-624	35	70	�	�	PROPN
ap-624	35	71	�	�	PROPN
ap-624	35	72	�	�	PROPN
ap-624	35	73	�	�	PROPN
ap-624	35	74	is	be	AUX
ap-624	35	75	the	the	DET
ap-624	35	76	outward	outward	ADJ
ap-624	35	77	unit	unit	NOUN
ap-624	35	78	normal	normal	ADJ
ap-624	35	79	vector	vector	NOUN
ap-624	35	80	of	of	ADP
ap-624	35	81	the	the	DET
ap-624	35	82	element	element	ADJ
ap-624	35	83	side	side	NOUN
ap-624	35	84	ij	ij	NOUN
ap-624	35	85	,	,	PUNCT
ap-624	35	86	{	{	PUNCT
ap-624	35	87	}	}	PUNCT
ap-624	35	88	{	{	PUNCT
ap-624	35	89	,	,	PUNCT
ap-624	35	90	}	}	PUNCT
ap-624	35	91	{	{	PUNCT
ap-624	35	92	cos	cos	X
ap-624	35	93	,	,	PUNCT
ap-624	35	94	sin	sin	NOUN
ap-624	35	95	}	}	PUNCT
ap-624	35	96	t	t	NOUN
ap-624	35	97	ij	ij	NOUN
ap-624	35	98	xij	xij	PROPN
ap-624	35	99	yij	yij	PROPN
ap-624	35	100	nij	nij	PROPN
ap-624	35	101	nijt	nijt	PROPN
ap-624	35	102	t	t	PROPN
ap-624	35	103	�	�	PROPN
ap-624	35	104	�	�	PROPN
ap-624	35	105	�	�	PROPN
ap-624	35	106	�	�	PROPN
ap-624	35	107	is	be	AUX
ap-624	35	108	the	the	DET
ap-624	35	109	unit	unit	NOUN
ap-624	35	110	vector	vector	NOUN
ap-624	35	111	of	of	ADP
ap-624	35	112	the	the	DET
ap-624	35	113	element	element	ADJ
ap-624	35	114	side	side	NOUN
ap-624	35	115	ij	ij	X
ap-624	35	116	(	(	PUNCT
ap-624	35	117	fig	fig	NOUN
ap-624	35	118	.	.	PUNCT
ap-624	35	119	4	4	NUM
ap-624	35	120	)	)	PUNCT
ap-624	35	121	.	.	PUNCT
ap-624	36	1	the	the	DET
ap-624	36	2	other	other	ADJ
ap-624	36	3	contributions	contribution	NOUN
ap-624	36	4	from	from	ADP
ap-624	36	5	the	the	DET
ap-624	36	6	rotations	rotation	NOUN
ap-624	36	7	in	in	ADP
ap-624	36	8	nodes	node	NOUN
ap-624	36	9	2	2	NUM
ap-624	36	10	and	and	CCONJ
ap-624	36	11	3	3	NUM
ap-624	36	12	are	be	AUX
ap-624	36	13	obtained	obtain	VERB
ap-624	36	14	by	by	ADP
ap-624	36	15	cyclic	cyclic	ADJ
ap-624	36	16	index	index	NOUN
ap-624	36	17	replacement	replacement	NOUN
ap-624	36	18	.	.	PUNCT
ap-624	37	1	elongation	elongation	NOUN
ap-624	37	2	�	�	PROPN
ap-624	38	1	i	i	PRON
ap-624	38	2	iju	iju	NOUN
ap-624	38	3	r	r	NOUN
ap-624	38	4	s	s	PROPN
ap-624	38	5	(	(	PUNCT
ap-624	38	6	,	,	PUNCT
ap-624	38	7	)	)	PUNCT
ap-624	38	8	from	from	ADP
ap-624	38	9	three	three	NUM
ap-624	38	10	node	node	ADJ
ap-624	38	11	rotations	rotation	NOUN
ap-624	38	12	are	be	AUX
ap-624	38	13	obtained	obtain	VERB
ap-624	38	14	by	by	ADP
ap-624	38	15	summation	summation	NOUN
ap-624	38	16	of	of	ADP
ap-624	38	17	the	the	DET
ap-624	38	18	separate	separate	ADJ
ap-624	38	19	contributions	contribution	NOUN
ap-624	38	20	�	�	NOUN
ap-624	38	21	1u	1u	NUM
ap-624	38	22	r	r	NOUN
ap-624	38	23	sij	sij	PROPN
ap-624	38	24	(	(	PUNCT
ap-624	38	25	,	,	PUNCT
ap-624	38	26	)	)	PUNCT
ap-624	38	27	,	,	PUNCT
ap-624	38	28	�	�	PROPN
ap-624	38	29	2u	2u	PROPN
ap-624	38	30	r	r	PROPN
ap-624	38	31	sij	sij	PROPN
ap-624	38	32	(	(	PUNCT
ap-624	38	33	,	,	PUNCT
ap-624	38	34	)	)	PUNCT
ap-624	38	35	,	,	PUNCT
ap-624	38	36	�	�	PROPN
ap-624	38	37	3u	3u	PROPN
ap-624	38	38	r	r	PROPN
ap-624	38	39	sij	sij	PROPN
ap-624	38	40	(	(	PUNCT
ap-624	38	41	,	,	PUNCT
ap-624	38	42	)	)	PUNCT
ap-624	38	43	.	.	PUNCT
ap-624	39	1	the	the	DET
ap-624	39	2	total	total	ADJ
ap-624	39	3	displacements	displacement	NOUN
ap-624	39	4	along	along	ADP
ap-624	39	5	the	the	DET
ap-624	39	6	element	element	NOUN
ap-624	39	7	sides	side	NOUN
ap-624	39	8	in	in	ADP
ap-624	39	9	node	node	NOUN
ap-624	39	10	(	(	PUNCT
ap-624	39	11	r	r	NOUN
ap-624	39	12	,	,	PUNCT
ap-624	39	13	s	s	PART
ap-624	39	14	)	)	PUNCT
ap-624	39	15	due	due	ADP
ap-624	39	16	to	to	ADP
ap-624	39	17	the	the	DET
ap-624	39	18	�	�	NOUN
ap-624	39	19	uij	uij	NOUN
ap-624	39	20	(	(	PUNCT
ap-624	39	21	eq	eq	NOUN
ap-624	39	22	.	.	NOUN
ap-624	39	23	1	1	NUM
ap-624	39	24	)	)	PUNCT
ap-624	39	25	and	and	CCONJ
ap-624	39	26	�	�	PRON
ap-624	39	27	uij	uij	PRON
ap-624	39	28	(	(	PUNCT
ap-624	39	29	eq	eq	NOUN
ap-624	39	30	.	.	NOUN
ap-624	39	31	3	3	NUM
ap-624	39	32	)	)	PUNCT
ap-624	39	33	may	may	AUX
ap-624	39	34	be	be	AUX
ap-624	39	35	expressed	express	VERB
ap-624	39	36	u	u	PROPN
ap-624	39	37	r	r	NOUN
ap-624	39	38	s	s	PROPN
ap-624	39	39	l	l	NOUN
ap-624	39	40	u	u	NOUN
ap-624	39	41	l	l	NOUN
ap-624	39	42	l	l	NOUN
ap-624	39	43	l	l	X
ap-624	39	44	l	l	NOUN
ap-624	39	45	l	l	NOUN
ap-624	39	46	lij	lij	NOUN
ap-624	40	1	i	i	PRON
ap-624	40	2	ij	ij	VERB
ap-624	41	1	i	i	NOUN
ap-624	41	2	jk	jk	PROPN
ap-624	42	1	k	k	PROPN
ap-624	42	2	j	j	PROPN
ap-624	43	1	i	i	PRON
ap-624	43	2	j	j	PROPN
ap-624	44	1	jk	jk	PROPN
ap-624	44	2	k	k	PROPN
ap-624	45	1	i	i	PRON
ap-624	45	2	j	j	PROPN
ap-624	45	3	(	(	PUNCT
ap-624	45	4	,	,	PUNCT
ap-624	45	5	)	)	PUNCT
ap-624	45	6	sin	sin	PROPN
ap-624	45	7	sin	sin	PROPN
ap-624	45	8	�	�	PROPN
ap-624	45	9	�	�	PROPN
ap-624	45	10	�	�	PROPN
ap-624	45	11	�	�	PROPN
ap-624	45	12	�	�	PROPN
ap-624	45	13	�	�	PROPN
ap-624	45	14	�	�	PROPN
ap-624	45	15	�	�	PROPN
ap-624	45	16	2	2	NUM
ap-624	45	17	2	2	NUM
ap-624	45	18	,	,	PUNCT
ap-624	45	19	(	(	PUNCT
ap-624	45	20	4	4	NUM
ap-624	45	21	)	)	PUNCT
ap-624	45	22	or	or	CCONJ
ap-624	45	23	more	more	ADV
ap-624	45	24	compactly	compactly	ADV
ap-624	45	25	u	u	X
ap-624	45	26	nu	nu	PROPN
ap-624	45	27	*	*	PROPN
ap-624	45	28	*	*	PUNCT
ap-624	45	29	(	(	PUNCT
ap-624	45	30	,	,	PUNCT
ap-624	45	31	)	)	PUNCT
ap-624	45	32	r	r	NOUN
ap-624	45	33	s	s	PROPN
ap-624	45	34	�	�	PROPN
ap-624	45	35	,	,	PUNCT
ap-624	45	36	(	(	PUNCT
ap-624	45	37	5	5	X
ap-624	45	38	)	)	PUNCT
ap-624	45	39	where	where	SCONJ
ap-624	45	40	vector	vector	NOUN
ap-624	45	41	u	u	NOUN
ap-624	45	42	*	*	PROPN
ap-624	45	43	(	(	PUNCT
ap-624	45	44	,	,	PUNCT
ap-624	45	45	)	)	PUNCT
ap-624	45	46	{	{	PUNCT
ap-624	45	47	(	(	PUNCT
ap-624	45	48	,	,	PUNCT
ap-624	45	49	)	)	PUNCT
ap-624	45	50	,	,	PUNCT
ap-624	45	51	(	(	PUNCT
ap-624	45	52	,	,	PUNCT
ap-624	45	53	)	)	PUNCT
ap-624	45	54	,	,	PUNCT
ap-624	45	55	(	(	PUNCT
ap-624	45	56	,	,	PUNCT
ap-624	45	57	)	)	PUNCT
ap-624	45	58	}	}	PUNCT
ap-624	45	59	r	r	NOUN
ap-624	45	60	s	s	NOUN
ap-624	45	61	u	u	NOUN
ap-624	45	62	r	r	NOUN
ap-624	45	63	s	s	NOUN
ap-624	45	64	u	u	NOUN
ap-624	45	65	r	r	NOUN
ap-624	45	66	s	s	NOUN
ap-624	45	67	u	u	NOUN
ap-624	45	68	r	r	NOUN
ap-624	45	69	s	s	PROPN
ap-624	45	70	t	t	PROPN
ap-624	45	71	�	�	PROPN
ap-624	45	72	21	21	NUM
ap-624	45	73	32	32	NUM
ap-624	45	74	13	13	NUM
ap-624	45	75	represents	represent	VERB
ap-624	45	76	the	the	DET
ap-624	45	77	pure	pure	ADJ
ap-624	45	78	displacements	displacement	NOUN
ap-624	45	79	of	of	ADP
ap-624	45	80	node	node	NOUN
ap-624	45	81	(	(	PUNCT
ap-624	45	82	r	r	NOUN
ap-624	45	83	,	,	PUNCT
ap-624	45	84	s	s	PART
ap-624	45	85	)	)	PUNCT
ap-624	45	86	in	in	ADP
ap-624	45	87	the	the	DET
ap-624	45	88	directions	direction	NOUN
ap-624	45	89	of	of	ADP
ap-624	45	90	sides	side	NOUN
ap-624	45	91	ij	ij	VERB
ap-624	45	92	,	,	PUNCT
ap-624	45	93	u	u	NOUN
ap-624	45	94	*	*	PUNCT
ap-624	45	95	(	(	PUNCT
ap-624	45	96	,	,	PUNCT
ap-624	45	97	)	)	PUNCT
ap-624	45	98	{	{	PUNCT
ap-624	45	99	,	,	PUNCT
ap-624	45	100	,	,	PUNCT
ap-624	45	101	,	,	PUNCT
ap-624	45	102	,	,	PUNCT
ap-624	45	103	,	,	PUNCT
ap-624	45	104	}	}	PUNCT
ap-624	45	105	r	r	NOUN
ap-624	45	106	s	s	VERB
ap-624	45	107	u	u	NOUN
ap-624	45	108	u	u	NOUN
ap-624	45	109	u	u	PROPN
ap-624	45	110	t	t	PROPN
ap-624	45	111	�	�	PROPN
ap-624	45	112	�	�	PROPN
ap-624	45	113	�	�	PROPN
ap-624	45	114	�	�	PROPN
ap-624	45	115	21	21	NUM
ap-624	45	116	32	32	NUM
ap-624	45	117	13	13	NUM
ap-624	45	118	1	1	NUM
ap-624	45	119	2	2	NUM
ap-624	45	120	3	3	NUM
ap-624	45	121	�	�	PROPN
ap-624	45	122	�	�	PROPN
ap-624	45	123	�	�	PROPN
ap-624	45	124	is	be	AUX
ap-624	45	125	the	the	DET
ap-624	45	126	vector	vector	NOUN
ap-624	45	127	of	of	ADP
ap-624	45	128	six	six	NUM
ap-624	45	129	element	element	ADJ
ap-624	45	130	conectors	conector	NOUN
ap-624	45	131	–	–	PUNCT
ap-624	45	132	elongations	elongation	NOUN
ap-624	45	133	of	of	ADP
ap-624	45	134	the	the	DET
ap-624	45	135	sides	side	NOUN
ap-624	45	136	and	and	CCONJ
ap-624	45	137	pure	pure	ADJ
ap-624	45	138	node	node	ADJ
ap-624	45	139	rotations	rotation	NOUN
ap-624	45	140	,	,	PUNCT
ap-624	45	141	and	and	CCONJ
ap-624	45	142	n	n	PRON
ap-624	45	143	is	be	AUX
ap-624	45	144	the	the	DET
ap-624	45	145	(	(	PUNCT
ap-624	45	146	3×6	3×6	NUM
ap-624	45	147	)	)	PUNCT
ap-624	45	148	matrix	matrix	NOUN
ap-624	45	149	composed	compose	VERB
ap-624	45	150	of	of	ADP
ap-624	45	151	the	the	DET
ap-624	45	152	linear	linear	ADJ
ap-624	45	153	and	and	CCONJ
ap-624	45	154	cubic	cubic	ADJ
ap-624	45	155	functions	function	NOUN
ap-624	45	156	obtained	obtain	VERB
ap-624	45	157	directly	directly	ADV
ap-624	45	158	from	from	ADP
ap-624	45	159	eq	eq	ADP
ap-624	45	160	.	.	PUNCT
ap-624	46	1	(	(	PUNCT
ap-624	46	2	4	4	NUM
ap-624	46	3	)	)	PUNCT
ap-624	46	4	for	for	ADP
ap-624	46	5	i	i	PRON
ap-624	46	6	�	�	PROPN
ap-624	46	7	2	2	NUM
ap-624	46	8	,	,	PUNCT
ap-624	46	9	3	3	NUM
ap-624	46	10	,	,	PUNCT
ap-624	46	11	1	1	NUM
ap-624	46	12	and	and	CCONJ
ap-624	46	13	j	j	PROPN
ap-624	46	14	�	�	PROPN
ap-624	46	15	1	1	NUM
ap-624	46	16	,	,	PUNCT
ap-624	46	17	2	2	NUM
ap-624	46	18	,	,	PUNCT
ap-624	46	19	3	3	NUM
ap-624	46	20	.	.	NOUN
ap-624	46	21	3	3	NUM
ap-624	46	22	pure	pure	ADJ
ap-624	46	23	element	element	NOUN
ap-624	46	24	stiffness	stiffness	NOUN
ap-624	46	25	matrix	matrix	NOUN
ap-624	46	26	the	the	DET
ap-624	46	27	individual	individual	ADJ
ap-624	46	28	components	component	NOUN
ap-624	46	29	of	of	ADP
ap-624	46	30	the	the	DET
ap-624	46	31	side	side	NOUN
ap-624	46	32	strains	strain	NOUN
ap-624	46	33	are	be	AUX
ap-624	46	34	obtained	obtain	VERB
ap-624	46	35	from	from	ADP
ap-624	46	36	the	the	DET
ap-624	46	37	pure	pure	ADJ
ap-624	46	38	displacement	displacement	NOUN
ap-624	46	39	vector	vector	NOUN
ap-624	46	40	u	u	NOUN
ap-624	46	41	*	*	PUNCT
ap-624	46	42	(	(	PUNCT
ap-624	46	43	,	,	PUNCT
ap-624	46	44	)	)	PUNCT
ap-624	46	45	r	r	NOUN
ap-624	46	46	s	s	AUX
ap-624	46	47	using	use	VERB
ap-624	46	48	the	the	DET
ap-624	46	49	geometrical	geometrical	ADJ
ap-624	46	50	equations	equation	NOUN
ap-624	46	51	�	�	VERB
ap-624	47	1	ij	ij	X
ap-624	48	1	ij	ij	INTJ
ap-624	48	2	ij	ij	INTJ
ap-624	48	3	ij	ij	INTJ
ap-624	48	4	ij	ij	INTJ
ap-624	48	5	j	j	PROPN
ap-624	49	1	ij	ij	INTJ
ap-624	49	2	ij	ij	INTJ
ap-624	50	1	i	i	PRON
ap-624	50	2	u	u	VERB
ap-624	50	3	r	r	NOUN
ap-624	50	4	s	s	PROPN
ap-624	50	5	s	s	NOUN
ap-624	50	6	u	u	NOUN
ap-624	50	7	r	r	NOUN
ap-624	50	8	s	s	PROPN
ap-624	51	1	l	l	NOUN
ap-624	51	2	l	l	NOUN
ap-624	51	3	u	u	NOUN
ap-624	52	1	r	r	NOUN
ap-624	52	2	s	s	PROPN
ap-624	52	3	l	l	NOUN
ap-624	52	4	l	l	X
ap-624	52	5	�	�	PROPN
ap-624	52	6	�	�	PROPN
ap-624	52	7	�	�	PROPN
ap-624	53	1	d	d	PROPN
ap-624	53	2	d	d	PROPN
ap-624	53	3	d	d	X
ap-624	53	4	d	d	PROPN
ap-624	53	5	d	d	X
ap-624	53	6	d	d	X
ap-624	53	7	(	(	PUNCT
ap-624	53	8	,	,	PUNCT
ap-624	53	9	)	)	PUNCT
ap-624	53	10	(	(	PUNCT
ap-624	53	11	,	,	PUNCT
ap-624	53	12	)	)	PUNCT
ap-624	53	13	(	(	PUNCT
ap-624	53	14	,	,	PUNCT
ap-624	53	15	)	)	PUNCT
ap-624	53	16	.	.	PUNCT
ap-624	54	1	(	(	PUNCT
ap-624	54	2	6	6	X
ap-624	54	3	)	)	PUNCT
ap-624	54	4	note	note	NOUN
ap-624	54	5	that	that	SCONJ
ap-624	54	6	�	�	NOUN
ap-624	54	7	ij	ij	NOUN
ap-624	54	8	corresponds	correspond	VERB
ap-624	54	9	to	to	ADP
ap-624	54	10	a	a	DET
ap-624	54	11	relative	relative	ADJ
ap-624	54	12	deformation	deformation	NOUN
ap-624	54	13	along	along	ADP
ap-624	54	14	the	the	DET
ap-624	54	15	side	side	NOUN
ap-624	54	16	ij	ij	NOUN
ap-624	54	17	.	.	PUNCT
ap-624	55	1	substituting	substitute	VERB
ap-624	55	2	eq	eq	ADP
ap-624	55	3	.	.	PUNCT
ap-624	56	1	(	(	PUNCT
ap-624	56	2	5	5	NUM
ap-624	56	3	)	)	PUNCT
ap-624	56	4	into	into	ADP
ap-624	56	5	eq	eq	NOUN
ap-624	56	6	.	.	PUNCT
ap-624	57	1	(	(	PUNCT
ap-624	57	2	6	6	NUM
ap-624	57	3	)	)	PUNCT
ap-624	57	4	gives	give	VERB
ap-624	57	5	�	�	PROPN
ap-624	57	6	*	*	PUNCT
ap-624	57	7	*	*	PUNCT
ap-624	57	8	�	�	PROPN
ap-624	57	9	bu	bu	ADJ
ap-624	57	10	,	,	PUNCT
ap-624	57	11	(	(	PUNCT
ap-624	57	12	7	7	X
ap-624	57	13	)	)	PUNCT
ap-624	57	14	where	where	SCONJ
ap-624	57	15	�	�	PROPN
ap-624	57	16	*	*	PUNCT
ap-624	57	17	{	{	PUNCT
ap-624	57	18	,	,	PUNCT
ap-624	57	19	,	,	PUNCT
ap-624	57	20	}	}	PUNCT
ap-624	57	21	�	�	PROPN
ap-624	57	22	�	�	PROPN
ap-624	57	23	�	�	PROPN
ap-624	57	24	�	�	PROPN
ap-624	57	25	21	21	NUM
ap-624	57	26	32	32	NUM
ap-624	57	27	13	13	NUM
ap-624	57	28	t	t	NOUN
ap-624	57	29	and	and	CCONJ
ap-624	57	30	b	b	PROPN
ap-624	57	31	is	be	AUX
ap-624	57	32	the	the	DET
ap-624	57	33	element	element	NOUN
ap-624	57	34	strain	strain	NOUN
ap-624	57	35	matrix	matrix	NOUN
ap-624	57	36	with	with	ADP
ap-624	57	37	the	the	DET
ap-624	57	38	components	component	NOUN
ap-624	57	39	b	b	PROPN
ap-624	57	40	n	n	CCONJ
ap-624	57	41	lik	lik	VERB
ap-624	57	42	ik	ik	PROPN
ap-624	57	43	ij	ij	PROPN
ap-624	57	44	�	�	PROPN
ap-624	57	45	�	�	PROPN
ap-624	57	46	�	�	PROPN
ap-624	57	47	(	(	PUNCT
ap-624	57	48	k	k	PROPN
ap-624	57	49	�	�	PROPN
ap-624	57	50	1	1	NUM
ap-624	57	51	,	,	PUNCT
ap-624	57	52	…	…	PUNCT
ap-624	57	53	,	,	PUNCT
ap-624	57	54	6	6	NUM
ap-624	57	55	)	)	PUNCT
ap-624	57	56	.	.	PUNCT
ap-624	58	1	components	component	NOUN
ap-624	58	2	of	of	ADP
ap-624	58	3	the	the	DET
ap-624	58	4	engineering	engineering	NOUN
ap-624	58	5	strain	strain	NOUN
ap-624	58	6	�	�	PROPN
ap-624	58	7	�	�	PROPN
ap-624	58	8	{	{	PUNCT
ap-624	58	9	,	,	PUNCT
ap-624	58	10	,	,	PUNCT
ap-624	58	11	}	}	PUNCT
ap-624	58	12	�	�	PROPN
ap-624	58	13	�	�	PROPN
ap-624	58	14	�	�	PROPN
ap-624	58	15	x	x	PROPN
ap-624	58	16	y	y	NOUN
ap-624	58	17	xy	xy	PROPN
ap-624	58	18	t	t	PROPN
ap-624	58	19	are	be	AUX
ap-624	58	20	obtained	obtain	VERB
ap-624	58	21	applying	apply	VERB
ap-624	58	22	standard	standard	ADJ
ap-624	58	23	transformation	transformation	NOUN
ap-624	58	24	as	as	ADP
ap-624	58	25	�	�	PROPN
ap-624	58	26	�	�	PROPN
ap-624	58	27	�	�	PROPN
ap-624	58	28	�	�	PROPN
ap-624	58	29	�	�	PROPN
ap-624	59	1	ij	ij	PROPN
ap-624	59	2	ij	ij	INTJ
ap-624	59	3	ij	ij	INTJ
ap-624	59	4	ij	ij	INTJ
ap-624	59	5	ij	ij	INTJ
ap-624	59	6	�	�	PROPN
ap-624	59	7	�	�	PROPN
ap-624	59	8	{	{	PUNCT
ap-624	59	9	cos	cos	PROPN
ap-624	59	10	,	,	PUNCT
ap-624	59	11	sin	sin	NOUN
ap-624	59	12	,	,	PUNCT
ap-624	59	13	sin	sin	NOUN
ap-624	59	14	cos	cos	NOUN
ap-624	59	15	}	}	SYM
ap-624	59	16	2	2	NUM
ap-624	59	17	2	2	NUM
ap-624	59	18	�	�	NOUN
ap-624	59	19	,	,	PUNCT
ap-624	59	20	and	and	CCONJ
ap-624	59	21	in	in	ADP
ap-624	59	22	matrix	matrix	NOUN
ap-624	59	23	notation	notation	NOUN
ap-624	59	24	�	�	PROPN
ap-624	59	25	�	�	PROPN
ap-624	59	26	�	�	PROPN
ap-624	59	27	�	�	PROPN
ap-624	59	28	*	*	PUNCT
ap-624	59	29	*	*	PUNCT
ap-624	59	30	�	�	PROPN
ap-624	59	31	�	�	PROPN
ap-624	59	32	�	�	PROPN
ap-624	59	33	�	�	PROPN
ap-624	59	34	�	�	PROPN
ap-624	59	35	a	a	DET
ap-624	59	36	a	a	DET
ap-624	59	37	1	1	NUM
ap-624	59	38	.	.	PUNCT
ap-624	60	1	(	(	PUNCT
ap-624	60	2	8)	8)	NUM
ap-624	60	3	substituting	substitute	VERB
ap-624	60	4	eq	eq	NOUN
ap-624	60	5	.	.	PUNCT
ap-624	61	1	(	(	PUNCT
ap-624	61	2	7	7	NUM
ap-624	61	3	)	)	PUNCT
ap-624	61	4	into	into	ADP
ap-624	61	5	(	(	PUNCT
ap-624	61	6	8)	8)	NUM
ap-624	61	7	finally	finally	ADV
ap-624	61	8	provides	provide	VERB
ap-624	61	9	�	�	PROPN
ap-624	61	10	�	�	PROPN
ap-624	61	11	�	�	PROPN
ap-624	61	12	a	a	DET
ap-624	61	13	bu1	bu1	NOUN
ap-624	61	14	*	*	X
ap-624	61	15	.	.	PUNCT
ap-624	62	1	(	(	PUNCT
ap-624	62	2	9	9	X
ap-624	62	3	)	)	PUNCT
ap-624	62	4	the	the	DET
ap-624	62	5	finite	finite	PROPN
ap-624	62	6	element	element	NOUN
ap-624	62	7	formulation	formulation	NOUN
ap-624	62	8	used	use	VERB
ap-624	62	9	in	in	ADP
ap-624	62	10	this	this	DET
ap-624	62	11	paper	paper	NOUN
ap-624	62	12	is	be	AUX
ap-624	62	13	based	base	VERB
ap-624	62	14	on	on	ADP
ap-624	62	15	the	the	DET
ap-624	62	16	principle	principle	NOUN
ap-624	62	17	of	of	ADP
ap-624	62	18	minimum	minimum	ADJ
ap-624	62	19	potential	potential	ADJ
ap-624	62	20	energy	energy	NOUN
ap-624	62	21	.	.	PUNCT
ap-624	63	1	the	the	DET
ap-624	63	2	element	element	ADJ
ap-624	63	3	stiffness	stiffness	NOUN
ap-624	63	4	matrix	matrix	NOUN
ap-624	63	5	is	be	AUX
ap-624	63	6	calculated	calculate	VERB
ap-624	63	7	by	by	ADP
ap-624	63	8	considering	consider	VERB
ap-624	63	9	the	the	DET
ap-624	63	10	strain	strain	ADJ
ap-624	63	11	energy	energy	NOUN
ap-624	63	12	in	in	ADP
ap-624	63	13	the	the	DET
ap-624	63	14	form	form	NOUN
ap-624	63	15	e	e	PROPN
ap-624	63	16	v	v	ADP
ap-624	63	17	vi	vi	PROPN
ap-624	63	18	s	s	PROPN
ap-624	63	19	t	t	NOUN
ap-624	63	20	v	v	NOUN
ap-624	63	21	t	t	PROPN
ap-624	63	22	t	t	PROPN
ap-624	63	23	v	v	ADP
ap-624	63	24	t	t	PROPN
ap-624	63	25	t	t	PROPN
ap-624	63	26	(	(	PUNCT
ap-624	63	27	)	)	PUNCT
ap-624	63	28	*	*	PUNCT
ap-624	64	1	*	*	PUNCT
ap-624	64	2	*	*	PUNCT
ap-624	64	3	,	,	PUNCT
ap-624	64	4	�	�	PROPN
ap-624	64	5	�	�	PROPN
ap-624	64	6	�	�	PROPN
ap-624	64	7	�	�	PROPN
ap-624	64	8	�	�	PROPN
ap-624	64	9	�	�	PROPN
ap-624	64	10	�	�	PROPN
ap-624	64	11	�	�	PROPN
ap-624	64	12	�	�	PROPN
ap-624	64	13	1	1	NUM
ap-624	64	14	2	2	NUM
ap-624	64	15	1	1	NUM
ap-624	64	16	2	2	NUM
ap-624	64	17	1	1	NUM
ap-624	64	18	2	2	NUM
ap-624	64	19	1	1	NUM
ap-624	64	20	�	�	PROPN
ap-624	64	21	�	�	PROPN
ap-624	64	22	d	d	PROPN
ap-624	64	23	du	du	PROPN
ap-624	64	24	b	b	PROPN
ap-624	64	25	a	a	PROPN
ap-624	64	26	d	d	PROPN
ap-624	64	27	a	a	DET
ap-624	64	28	b	b	X
ap-624	64	29	u	u	NOUN
ap-624	64	30	k	k	PROPN
ap-624	64	31	b	b	PROPN
ap-624	64	32	a	a	PROPN
ap-624	64	33	d	d	X
ap-624	64	34	a	a	DET
ap-624	64	35	�	�	PROPN
ap-624	64	36	�	�	PROPN
ap-624	64	37	1bdv	1bdv	PROPN
ap-624	64	38	v	v	NOUN
ap-624	64	39	,	,	PUNCT
ap-624	64	40	(	(	PUNCT
ap-624	64	41	10	10	NUM
ap-624	64	42	)	)	PUNCT
ap-624	64	43	where	where	SCONJ
ap-624	64	44	d	d	NOUN
ap-624	64	45	is	be	AUX
ap-624	64	46	the	the	DET
ap-624	64	47	elastic	elastic	ADJ
ap-624	64	48	material	material	NOUN
ap-624	64	49	stiffness	stiffness	NOUN
ap-624	64	50	matrix	matrix	NOUN
ap-624	64	51	.	.	PUNCT
ap-624	65	1	seven	seven	NUM
ap-624	65	2	gauss	gauss	ADJ
ap-624	65	3	integration	integration	NOUN
ap-624	65	4	points	point	NOUN
ap-624	65	5	with	with	ADP
ap-624	65	6	�	�	PROPN
ap-624	65	7	(	(	PUNCT
ap-624	65	8	)	)	PUNCT
ap-624	65	9	h5	h5	PROPN
ap-624	65	10	need	need	VERB
ap-624	65	11	to	to	PART
ap-624	65	12	be	be	AUX
ap-624	65	13	used	use	VERB
ap-624	65	14	for	for	ADP
ap-624	65	15	numerical	numerical	ADJ
ap-624	65	16	evalutions	evalution	NOUN
ap-624	65	17	of	of	ADP
ap-624	65	18	k	k	NOUN
ap-624	65	19	*	*	PUNCT
ap-624	65	20	,	,	PUNCT
ap-624	65	21	as	as	SCONJ
ap-624	65	22	the	the	DET
ap-624	65	23	stiffness	stiffness	ADJ
ap-624	65	24	matrix	matrix	NOUN
ap-624	65	25	contains	contain	VERB
ap-624	65	26	functions	function	NOUN
ap-624	65	27	of	of	ADP
ap-624	65	28	the	the	DET
ap-624	65	29	fourth	fourth	ADJ
ap-624	65	30	order	order	NOUN
ap-624	65	31	.	.	PUNCT
ap-624	66	1	4	4	NUM
ap-624	66	2	element	element	NOUN
ap-624	66	3	stiffness	stiffness	NOUN
ap-624	66	4	matrix	matrix	NOUN
ap-624	66	5	the	the	DET
ap-624	66	6	pure	pure	ADJ
ap-624	66	7	element	element	NOUN
ap-624	66	8	stiffness	stiffness	NOUN
ap-624	66	9	matrix	matrix	NOUN
ap-624	66	10	is	be	AUX
ap-624	66	11	extended	extend	VERB
ap-624	66	12	by	by	ADP
ap-624	66	13	including	include	VERB
ap-624	66	14	the	the	DET
ap-624	66	15	rigid	rigid	ADJ
ap-624	66	16	body	body	NOUN
ap-624	66	17	motions	motion	NOUN
ap-624	66	18	through	through	ADP
ap-624	66	19	the	the	DET
ap-624	66	20	static	static	ADJ
ap-624	66	21	matrix	matrix	NOUN
ap-624	66	22	t	t	NOUN
ap-624	66	23	obtained	obtain	VERB
ap-624	66	24	from	from	ADP
ap-624	66	25	the	the	DET
ap-624	66	26	relations	relation	NOUN
ap-624	66	27	between	between	ADP
ap-624	66	28	the	the	DET
ap-624	66	29	pure	pure	ADJ
ap-624	66	30	displacements	displacement	NOUN
ap-624	66	31	u	u	NOUN
ap-624	66	32	*	*	PUNCT
ap-624	66	33	{	{	PUNCT
ap-624	66	34	,	,	PUNCT
ap-624	66	35	,	,	PUNCT
ap-624	66	36	,	,	PUNCT
ap-624	66	37	,	,	PUNCT
ap-624	66	38	,	,	PUNCT
ap-624	66	39	}	}	PUNCT
ap-624	66	40	�	�	PROPN
ap-624	66	41	�	�	PROPN
ap-624	66	42	�	�	PROPN
ap-624	66	43	�	�	PROPN
ap-624	66	44	u	u	NOUN
ap-624	66	45	u	u	NOUN
ap-624	66	46	u	u	NOUN
ap-624	66	47	t	t	PROPN
ap-624	66	48	21	21	NUM
ap-624	66	49	32	32	NUM
ap-624	66	50	13	13	NUM
ap-624	66	51	1	1	NUM
ap-624	66	52	2	2	NUM
ap-624	66	53	3	3	NUM
ap-624	66	54	�	�	PROPN
ap-624	66	55	�	�	PROPN
ap-624	66	56	�	�	PROPN
ap-624	66	57	and	and	CCONJ
ap-624	66	58	the	the	DET
ap-624	66	59	global	global	ADJ
ap-624	66	60	node	node	PROPN
ap-624	66	61	displacements	displacement	NOUN
ap-624	66	62	u	u	PROPN
ap-624	66	63	�	�	PROPN
ap-624	66	64	{	{	PUNCT
ap-624	66	65	,	,	PUNCT
ap-624	66	66	,	,	PUNCT
ap-624	66	67	,	,	PUNCT
ap-624	66	68	,	,	PUNCT
ap-624	66	69	,	,	PUNCT
ap-624	66	70	,	,	PUNCT
ap-624	66	71	,	,	PUNCT
ap-624	66	72	,	,	PUNCT
ap-624	66	73	}	}	PUNCT
ap-624	66	74	u	u	NOUN
ap-624	66	75	v	v	ADP
ap-624	66	76	u	u	NOUN
ap-624	66	77	v	v	ADP
ap-624	66	78	u	u	NOUN
ap-624	66	79	v	v	ADP
ap-624	66	80	t	t	PROPN
ap-624	66	81	1	1	NUM
ap-624	66	82	1	1	NUM
ap-624	66	83	1	1	NUM
ap-624	66	84	2	2	NUM
ap-624	66	85	2	2	NUM
ap-624	66	86	2	2	NUM
ap-624	66	87	3	3	NUM
ap-624	66	88	3	3	NUM
ap-624	66	89	3	3	NUM
ap-624	66	90	�	�	PROPN
ap-624	66	91	�	�	PROPN
ap-624	66	92	�	�	PROPN
ap-624	66	93	.	.	PUNCT
ap-624	67	1	rigid	rigid	ADJ
ap-624	67	2	body	body	NOUN
ap-624	67	3	motions	motion	NOUN
ap-624	67	4	of	of	ADP
ap-624	67	5	the	the	DET
ap-624	67	6	edges	edge	NOUN
ap-624	67	7	are	be	AUX
ap-624	67	8	decomposed	decompose	VERB
ap-624	67	9	into	into	ADP
ap-624	67	10	translations	translation	NOUN
ap-624	67	11	and	and	CCONJ
ap-624	67	12	rotations	rotation	NOUN
ap-624	67	13	.	.	PUNCT
ap-624	68	1	the	the	DET
ap-624	68	2	relations	relation	NOUN
ap-624	68	3	between	between	ADP
ap-624	68	4	elongations	elongation	NOUN
ap-624	68	5	of	of	ADP
ap-624	68	6	edges	edge	NOUN
ap-624	68	7	�	�	PROPN
ap-624	68	8	uij	uij	PRON
ap-624	68	9	and	and	CCONJ
ap-624	68	10	cartesian	cartesian	ADJ
ap-624	68	11	displacements	displacement	NOUN
ap-624	68	12	ui	ui	PROPN
ap-624	68	13	,	,	PUNCT
ap-624	68	14	vi	vi	PROPN
ap-624	68	15	at	at	ADP
ap-624	68	16	the	the	DET
ap-624	68	17	nodes	node	NOUN
ap-624	68	18	are	be	AUX
ap-624	68	19	evident	evident	ADJ
ap-624	68	20	from	from	ADP
ap-624	68	21	fig	fig	NOUN
ap-624	68	22	.	.	PUNCT
ap-624	69	1	5	5	NUM
ap-624	69	2	�	�	PROPN
ap-624	69	3	�	�	PROPN
ap-624	69	4	�	�	PROPN
ap-624	69	5	u	u	NOUN
ap-624	69	6	r	r	NOUN
ap-624	69	7	s	s	VERB
ap-624	69	8	u	u	NOUN
ap-624	69	9	v	v	ADP
ap-624	69	10	u	u	X
ap-624	69	11	u	u	NOUN
ap-624	69	12	ij	ij	INTJ
ap-624	69	13	ij	ij	INTJ
ap-624	69	14	ij	ij	INTJ
ap-624	70	1	ij	ij	INTJ
ap-624	70	2	ij	ij	INTJ
ap-624	71	1	i	i	PRON
ap-624	71	2	j	j	PROPN
ap-624	72	1	ij	ij	INTJ
ap-624	72	2	(	(	PUNCT
ap-624	72	3	,	,	PUNCT
ap-624	72	4	)	)	PUNCT
ap-624	72	5	cos	cos	ADP
ap-624	72	6	sin	sin	NOUN
ap-624	72	7	(	(	PUNCT
ap-624	72	8	)	)	PUNCT
ap-624	72	9	cos	cos	PROPN
ap-624	72	10	(	(	PUNCT
ap-624	72	11	�	�	PROPN
ap-624	72	12	�	�	PROPN
ap-624	72	13	�	�	PROPN
ap-624	72	14	�	�	PROPN
ap-624	72	15	�	�	PROPN
ap-624	72	16	�	�	PROPN
ap-624	72	17	�	�	PROPN
ap-624	72	18	�	�	PROPN
ap-624	72	19	�	�	PROPN
ap-624	72	20	�	�	PROPN
ap-624	72	21	�	�	PROPN
ap-624	72	22	v	v	NOUN
ap-624	72	23	vi	vi	PROPN
ap-624	72	24	j	j	PROPN
ap-624	72	25	ij	ij	PROPN
ap-624	72	26	�	�	PROPN
ap-624	72	27	)	)	PUNCT
ap-624	72	28	sin	sin	NOUN
ap-624	72	29	.	.	PUNCT
ap-624	73	1	�	�	PROPN
ap-624	73	2	(	(	PUNCT
ap-624	73	3	11	11	NUM
ap-624	73	4	)	)	PUNCT
ap-624	73	5	76	76	NUM
ap-624	74	1	©	©	PROPN
ap-624	74	2	czech	czech	PROPN
ap-624	74	3	technical	technical	PROPN
ap-624	74	4	university	university	PROPN
ap-624	74	5	publishing	publishing	NOUN
ap-624	74	6	house	house	NOUN
ap-624	74	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-624	74	8	acta	acta	PROPN
ap-624	74	9	polytechnica	polytechnica	PROPN
ap-624	74	10	vol	vol	NOUN
ap-624	74	11	.	.	PROPN
ap-624	75	1	44	44	NUM
ap-624	75	2	no	no	NOUN
ap-624	75	3	.	.	PUNCT
ap-624	76	1	5–6/2004	5–6/2004	NUM
ap-624	76	2	1	1	NUM
ap-624	76	3	2	2	NUM
ap-624	76	4	3	3	NUM
ap-624	76	5	1	1	NUM
ap-624	76	6	�	�	PROPN
ap-624	76	7	21	21	NUM
ap-624	76	8	�	�	PROPN
ap-624	76	9	u23	u23	PROPN
ap-624	76	10	�	�	PROPN
ap-624	76	11	u13	u13	PROPN
ap-624	76	12	fig	fig	NOUN
ap-624	76	13	.	.	PUNCT
ap-624	77	1	3	3	NUM
ap-624	77	2	:	:	PUNCT
ap-624	77	3	relation	relation	NOUN
ap-624	77	4	between	between	ADP
ap-624	77	5	node	node	ADJ
ap-624	77	6	rotation	rotation	NOUN
ap-624	77	7	1	1	NUM
ap-624	77	8	and	and	CCONJ
ap-624	77	9	elongations	elongation	NOUN
ap-624	77	10	1	1	NUM
ap-624	77	11	2	2	NUM
ap-624	77	12	3	3	NUM
ap-624	77	13	x	x	SYM
ap-624	77	14	y	y	PROPN
ap-624	77	15	n21	n21	PROPN
ap-624	77	16	n13	n13	PROPN
ap-624	77	17	n32	n32	PROPN
ap-624	77	18	t13	t13	NOUN
ap-624	77	19	t21	t21	PROPN
ap-624	77	20	t32	t32	NOUN
ap-624	77	21	�	�	PROPN
ap-624	77	22	1	1	NUM
ap-624	77	23	�	�	PROPN
ap-624	77	24	2	2	NUM
ap-624	77	25	�	�	PROPN
ap-624	77	26	3	3	NUM
ap-624	77	27	fig	fig	NOUN
ap-624	77	28	.	.	PUNCT
ap-624	78	1	4	4	NUM
ap-624	78	2	:	:	PUNCT
ap-624	78	3	introducing	introduce	VERB
ap-624	78	4	geometrical	geometrical	ADJ
ap-624	78	5	quantity	quantity	NOUN
ap-624	78	6	the	the	DET
ap-624	78	7	relations	relation	NOUN
ap-624	78	8	among	among	ADP
ap-624	78	9	pure	pure	ADJ
ap-624	78	10	vertex	vertex	NOUN
ap-624	78	11	rotations	rotation	NOUN
ap-624	78	12	�	�	VERB
ap-624	78	13	i	i	PRON
ap-624	78	14	and	and	CCONJ
ap-624	78	15	node	node	ADJ
ap-624	78	16	rotations	rotation	NOUN
ap-624	78	17	�	�	VERB
ap-624	78	18	i	i	PRON
ap-624	78	19	shown	show	VERB
ap-624	78	20	in	in	ADP
ap-624	78	21	fig	fig	NOUN
ap-624	78	22	.	.	PUNCT
ap-624	79	1	6	6	NUM
ap-624	79	2	,	,	PUNCT
ap-624	79	3	are	be	AUX
ap-624	79	4	�	�	PROPN
ap-624	79	5	�	�	PROPN
ap-624	79	6	i	i	PRON
ap-624	79	7	i	i	PROPN
ap-624	79	8	�	�	PROPN
ap-624	79	9	�	�	PROPN
ap-624	79	10	�	�	PROPN
ap-624	79	11	,	,	PUNCT
ap-624	79	12	(	(	PUNCT
ap-624	79	13	12	12	NUM
ap-624	79	14	)	)	PUNCT
ap-624	79	15	where	where	SCONJ
ap-624	79	16	�	�	NOUN
ap-624	79	17	i	i	PRON
ap-624	79	18	is	be	AUX
ap-624	79	19	the	the	DET
ap-624	79	20	pure	pure	ADJ
ap-624	79	21	rotation	rotation	NOUN
ap-624	79	22	,	,	PUNCT
ap-624	79	23	�	�	PROPN
ap-624	79	24	i	i	PRON
ap-624	79	25	represents	represent	VERB
ap-624	79	26	the	the	DET
ap-624	79	27	node	node	ADJ
ap-624	79	28	rotation	rotation	NOUN
ap-624	79	29	,	,	PUNCT
ap-624	79	30	�	�	PROPN
ap-624	79	31	corresponds	correspond	VERB
ap-624	79	32	to	to	ADP
ap-624	79	33	a	a	DET
ap-624	79	34	rigid	rigid	ADJ
ap-624	79	35	body	body	NOUN
ap-624	79	36	rotation	rotation	NOUN
ap-624	79	37	given	give	VERB
ap-624	79	38	by	by	ADP
ap-624	79	39	�	�	PROPN
ap-624	79	40	�	�	PROPN
ap-624	79	41	�	�	PROPN
ap-624	79	42	�	�	PROPN
ap-624	79	43	�	�	PROPN
ap-624	79	44	�	�	PROPN
ap-624	79	45	�	�	PROPN
ap-624	79	46	�	�	PROPN
ap-624	79	47	�	�	PROPN
ap-624	79	48	1	1	NUM
ap-624	79	49	2	2	NUM
ap-624	79	50	�	�	PROPN
ap-624	79	51	�	�	PROPN
ap-624	79	52	�	�	PROPN
ap-624	79	53	�	�	PROPN
ap-624	79	54	u	u	PROPN
ap-624	79	55	y	y	PROPN
ap-624	79	56	v	v	NOUN
ap-624	79	57	x	x	X
ap-624	79	58	.	.	PUNCT
ap-624	80	1	(	(	PUNCT
ap-624	80	2	13	13	NUM
ap-624	80	3	)	)	PUNCT
ap-624	80	4	the	the	DET
ap-624	80	5	contribution	contribution	NOUN
ap-624	80	6	of	of	ADP
ap-624	80	7	the	the	DET
ap-624	80	8	pure	pure	ADJ
ap-624	80	9	rotations	rotation	NOUN
ap-624	80	10	to	to	ADP
ap-624	80	11	the	the	DET
ap-624	80	12	nodal	nodal	NOUN
ap-624	80	13	displacements	displacement	NOUN
ap-624	80	14	u	u	NOUN
ap-624	80	15	,	,	PUNCT
ap-624	80	16	v	v	NOUN
ap-624	80	17	in	in	ADP
ap-624	80	18	eq	eq	ADP
ap-624	80	19	.	.	PUNCT
ap-624	81	1	(	(	PUNCT
ap-624	81	2	13	13	NUM
ap-624	81	3	)	)	PUNCT
ap-624	81	4	is	be	AUX
ap-624	81	5	neglected	neglect	VERB
ap-624	81	6	,	,	PUNCT
ap-624	81	7	since	since	SCONJ
ap-624	81	8	they	they	PRON
ap-624	81	9	cause	cause	VERB
ap-624	81	10	no	no	DET
ap-624	81	11	translations	translation	NOUN
ap-624	81	12	of	of	ADP
ap-624	81	13	the	the	DET
ap-624	81	14	apex	apex	NOUN
ap-624	81	15	of	of	ADP
ap-624	81	16	a	a	DET
ap-624	81	17	triangle	triangle	NOUN
ap-624	81	18	.	.	PUNCT
ap-624	82	1	when	when	SCONJ
ap-624	82	2	using	use	VERB
ap-624	82	3	linear	linear	NOUN
ap-624	82	4	functions	function	NOUN
ap-624	82	5	,	,	PUNCT
ap-624	82	6	the	the	DET
ap-624	82	7	displacement	displacement	ADJ
ap-624	82	8	field	field	NOUN
ap-624	82	9	assumes	assume	VERB
ap-624	82	10	the	the	DET
ap-624	82	11	form	form	NOUN
ap-624	82	12	.	.	PUNCT
ap-624	83	1	u	u	PRON
ap-624	83	2	l	l	NOUN
ap-624	83	3	u	u	NOUN
ap-624	83	4	v	v	ADP
ap-624	83	5	l	l	NOUN
ap-624	83	6	v	v	NOUN
ap-624	83	7	l	l	NOUN
ap-624	83	8	u	u	NOUN
ap-624	83	9	y	y	PROPN
ap-624	83	10	r	r	NOUN
ap-624	83	11	s	s	VERB
ap-624	84	1	i	i	PRON
ap-624	85	1	i	i	PRON
ap-624	86	1	i	i	VERB
ap-624	87	1	r	r	NOUN
ap-624	87	2	s	s	VERB
ap-624	87	3	i	i	PRON
ap-624	88	1	i	i	PRON
ap-624	88	2	i	i	PRON
ap-624	89	1	i	i	PRON
ap-624	89	2	i	i	PRON
ap-624	90	1	i	i	PRON
ap-624	90	2	i	i	PRON
ap-624	90	3	(	(	PUNCT
ap-624	90	4	,	,	PUNCT
ap-624	90	5	)	)	PUNCT
ap-624	90	6	,	,	PUNCT
ap-624	90	7	(	(	PUNCT
ap-624	90	8	,	,	PUNCT
ap-624	90	9	)	)	PUNCT
ap-624	90	10	,	,	PUNCT
ap-624	90	11	,	,	PUNCT
ap-624	90	12	,	,	PUNCT
ap-624	90	13	�	�	PROPN
ap-624	90	14	�	�	PROPN
ap-624	90	15	�	�	PROPN
ap-624	90	16	�	�	PROPN
ap-624	90	17	�	�	PROPN
ap-624	90	18	�	�	PROPN
ap-624	90	19	�	�	PROPN
ap-624	90	20	�	�	PROPN
ap-624	90	21	1	1	NUM
ap-624	90	22	3	3	NUM
ap-624	90	23	1	1	NUM
ap-624	90	24	3	3	NUM
ap-624	90	25	1	1	NUM
ap-624	90	26	2	2	NUM
ap-624	90	27	�	�	PROPN
ap-624	90	28	�	�	PROPN
ap-624	90	29	�	�	PROPN
ap-624	90	30	�	�	PROPN
ap-624	90	31	�	�	PROPN
ap-624	90	32	�	�	PROPN
ap-624	90	33	�	�	PROPN
ap-624	90	34	�	�	PROPN
ap-624	90	35	�	�	PROPN
ap-624	90	36	�	�	PROPN
ap-624	90	37	�	�	PROPN
ap-624	90	38	�	�	PROPN
ap-624	90	39	�	�	PROPN
ap-624	90	40	�	�	PROPN
ap-624	90	41	�	�	PROPN
ap-624	90	42	�	�	PROPN
ap-624	90	43	�	�	PROPN
ap-624	90	44	�	�	PROPN
ap-624	90	45	�	�	PROPN
ap-624	90	46	�	�	PROPN
ap-624	90	47	�	�	PROPN
ap-624	90	48	1	1	NUM
ap-624	90	49	3	3	NUM
ap-624	90	50	1	1	NUM
ap-624	90	51	3	3	NUM
ap-624	90	52	1	1	NUM
ap-624	90	53	3	3	NUM
ap-624	90	54	1	1	NUM
ap-624	90	55	4	4	NUM
ap-624	90	56	,	,	PUNCT
ap-624	90	57	,	,	PUNCT
ap-624	90	58	,	,	PUNCT
ap-624	90	59	�	�	PROPN
ap-624	90	60	�	�	PROPN
ap-624	90	61	l	l	PROPN
ap-624	90	62	v	v	NOUN
ap-624	90	63	x	x	SYM
ap-624	90	64	a	a	PRON
ap-624	90	65	c	c	NOUN
ap-624	90	66	u	u	PROPN
ap-624	90	67	b	b	PROPN
ap-624	90	68	v	v	INTJ
ap-624	91	1	i	i	PRON
ap-624	91	2	i	i	PRON
ap-624	92	1	i	i	PRON
ap-624	92	2	i	i	PRON
ap-624	93	1	i	i	PRON
ap-624	93	2	i	i	PRON
ap-624	94	1	i	i	PRON
ap-624	94	2	i	i	PRON
ap-624	95	1	i	i	PROPN
ap-624	95	2	�	�	PROPN
ap-624	95	3	�	�	PROPN
ap-624	95	4	�	�	PROPN
ap-624	95	5	�	�	PROPN
ap-624	95	6	�	�	PROPN
ap-624	95	7	�	�	PROPN
ap-624	95	8	�	�	PROPN
ap-624	95	9	�	�	PROPN
ap-624	95	10	�	�	PROPN
ap-624	95	11	1	1	NUM
ap-624	95	12	3	3	NUM
ap-624	95	13	,	,	PUNCT
ap-624	95	14	.	.	PUNCT
ap-624	96	1	(	(	PUNCT
ap-624	96	2	14	14	X
ap-624	96	3	)	)	PUNCT
ap-624	96	4	combining	combine	VERB
ap-624	96	5	eqs	eqs	PROPN
ap-624	96	6	.	.	PUNCT
ap-624	97	1	(	(	PUNCT
ap-624	97	2	12	12	NUM
ap-624	97	3	)	)	PUNCT
ap-624	97	4	,	,	PUNCT
ap-624	97	5	(	(	PUNCT
ap-624	97	6	13	13	NUM
ap-624	97	7	)	)	PUNCT
ap-624	97	8	,	,	PUNCT
ap-624	97	9	(	(	PUNCT
ap-624	97	10	14	14	NUM
ap-624	97	11	)	)	PUNCT
ap-624	97	12	,	,	PUNCT
ap-624	97	13	provides	provide	VERB
ap-624	97	14	the	the	DET
ap-624	97	15	relation	relation	NOUN
ap-624	97	16	between	between	ADP
ap-624	97	17	pure	pure	ADJ
ap-624	97	18	displacements	displacement	NOUN
ap-624	97	19	u	u	NOUN
ap-624	97	20	*	*	PUNCT
ap-624	97	21	and	and	CCONJ
ap-624	97	22	node	node	ADJ
ap-624	97	23	displacements	displacement	NOUN
ap-624	97	24	u	u	NOUN
ap-624	97	25	in	in	ADP
ap-624	97	26	the	the	DET
ap-624	97	27	form	form	NOUN
ap-624	97	28	u	u	PROPN
ap-624	97	29	tu	tu	PROPN
ap-624	97	30	*	*	PROPN
ap-624	97	31	�	�	PROPN
ap-624	97	32	,	,	PUNCT
ap-624	97	33	(	(	PUNCT
ap-624	97	34	15	15	NUM
ap-624	97	35	)	)	PUNCT
ap-624	97	36	where	where	SCONJ
ap-624	97	37	u	u	PROPN
ap-624	97	38	�	�	PROPN
ap-624	97	39	{	{	PUNCT
ap-624	97	40	,	,	PUNCT
ap-624	97	41	,	,	PUNCT
ap-624	97	42	,	,	PUNCT
ap-624	97	43	,	,	PUNCT
ap-624	97	44	,	,	PUNCT
ap-624	97	45	,	,	PUNCT
ap-624	97	46	,	,	PUNCT
ap-624	97	47	,	,	PUNCT
ap-624	97	48	}	}	PUNCT
ap-624	97	49	u	u	NOUN
ap-624	97	50	v	v	ADP
ap-624	97	51	u	u	NOUN
ap-624	97	52	v	v	ADP
ap-624	97	53	u	u	NOUN
ap-624	97	54	v	v	ADP
ap-624	97	55	t	t	PROPN
ap-624	97	56	1	1	NUM
ap-624	97	57	1	1	NUM
ap-624	97	58	1	1	NUM
ap-624	97	59	2	2	NUM
ap-624	97	60	2	2	NUM
ap-624	97	61	2	2	NUM
ap-624	97	62	3	3	NUM
ap-624	97	63	3	3	NUM
ap-624	97	64	3	3	NUM
ap-624	97	65	�	�	PROPN
ap-624	97	66	�	�	PROPN
ap-624	97	67	�	�	PROPN
ap-624	97	68	is	be	AUX
ap-624	97	69	the	the	DET
ap-624	97	70	vector	vector	NOUN
ap-624	97	71	of	of	ADP
ap-624	97	72	nodal	nodal	ADJ
ap-624	97	73	degrees	degree	NOUN
ap-624	97	74	of	of	ADP
ap-624	97	75	freedom	freedom	NOUN
ap-624	97	76	(	(	PUNCT
ap-624	97	77	ui	ui	PROPN
ap-624	97	78	,	,	PUNCT
ap-624	97	79	vi	vi	PROPN
ap-624	97	80	are	be	AUX
ap-624	97	81	nodal	nodal	ADJ
ap-624	97	82	cartesian	cartesian	ADJ
ap-624	97	83	displacements	displacement	NOUN
ap-624	97	84	and	and	CCONJ
ap-624	97	85	�	�	NOUN
ap-624	97	86	i	i	PRON
ap-624	97	87	are	be	AUX
ap-624	97	88	nodal	nodal	NOUN
ap-624	97	89	rotations	rotation	NOUN
ap-624	97	90	)	)	PUNCT
ap-624	97	91	.	.	PUNCT
ap-624	98	1	note	note	VERB
ap-624	98	2	that	that	SCONJ
ap-624	98	3	the	the	DET
ap-624	98	4	static	static	ADJ
ap-624	98	5	matrix	matrix	NOUN
ap-624	98	6	t	t	NOUN
ap-624	98	7	is	be	AUX
ap-624	98	8	constant	constant	ADJ
ap-624	98	9	and	and	CCONJ
ap-624	98	10	does	do	AUX
ap-624	98	11	not	not	PART
ap-624	98	12	cause	cause	VERB
ap-624	98	13	any	any	DET
ap-624	98	14	artifical	artifical	ADJ
ap-624	98	15	strain	strain	NOUN
ap-624	98	16	or	or	CCONJ
ap-624	98	17	stress	stress	NOUN
ap-624	98	18	during	during	ADP
ap-624	98	19	the	the	DET
ap-624	98	20	pure	pure	ADJ
ap-624	98	21	rigid	rigid	ADJ
ap-624	98	22	body	body	NOUN
ap-624	98	23	motions	motion	NOUN
ap-624	98	24	.	.	PUNCT
ap-624	99	1	relationship	relationship	NOUN
ap-624	99	2	(	(	PUNCT
ap-624	99	3	15	15	NUM
ap-624	99	4	)	)	PUNCT
ap-624	99	5	is	be	AUX
ap-624	99	6	used	use	VERB
ap-624	99	7	in	in	ADP
ap-624	99	8	the	the	DET
ap-624	99	9	expression	expression	NOUN
ap-624	99	10	for	for	ADP
ap-624	99	11	the	the	DET
ap-624	99	12	strain	strain	ADJ
ap-624	99	13	energy	energy	NOUN
ap-624	99	14	(	(	PUNCT
ap-624	99	15	10	10	NUM
ap-624	99	16	)	)	PUNCT
ap-624	99	17	,	,	PUNCT
ap-624	99	18	from	from	ADP
ap-624	99	19	which	which	PRON
ap-624	99	20	the	the	DET
ap-624	99	21	element	element	ADJ
ap-624	99	22	stiffness	stiffness	NOUN
ap-624	99	23	matrix	matrix	NOUN
ap-624	99	24	k	k	NOUN
ap-624	99	25	is	be	AUX
ap-624	99	26	obtained	obtain	VERB
ap-624	99	27	ei	ei	ADP
ap-624	99	28	s	s	X
ap-624	99	29	(	(	PUNCT
ap-624	99	30	)	)	PUNCT
ap-624	99	31	*	*	PUNCT
ap-624	99	32	*	*	PUNCT
ap-624	99	33	�	�	PROPN
ap-624	99	34	�	�	PROPN
ap-624	99	35	�	�	PROPN
ap-624	99	36	1	1	NUM
ap-624	99	37	2	2	NUM
ap-624	99	38	u	u	NOUN
ap-624	100	1	t	t	PROPN
ap-624	100	2	k	k	PROPN
ap-624	101	1	tu	tu	PROPN
ap-624	101	2	k	k	PROPN
ap-624	102	1	t	t	PROPN
ap-624	102	2	k	k	PROPN
ap-624	102	3	tt	tt	PROPN
ap-624	102	4	t	t	PROPN
ap-624	102	5	t	t	PROPN
ap-624	102	6	.	.	PUNCT
ap-624	103	1	4.1	4.1	NUM
ap-624	103	2	cantilever	cantilever	NOUN
ap-624	103	3	beam	beam	NOUN
ap-624	103	4	under	under	ADP
ap-624	103	5	tip	tip	NOUN
ap-624	103	6	load	load	VERB
ap-624	103	7	a	a	DET
ap-624	103	8	standard	standard	ADJ
ap-624	103	9	test	test	NOUN
ap-624	103	10	example	example	NOUN
ap-624	103	11	often	often	ADV
ap-624	103	12	used	use	VERB
ap-624	103	13	in	in	ADP
ap-624	103	14	the	the	DET
ap-624	103	15	literature	literature	NOUN
ap-624	103	16	corresponds	correspond	VERB
ap-624	103	17	to	to	ADP
ap-624	103	18	a	a	DET
ap-624	103	19	shear	shear	NOUN
ap-624	103	20	-	-	PUNCT
ap-624	103	21	loaded	load	VERB
ap-624	103	22	cantilever	cantilever	NOUN
ap-624	103	23	beam	beam	NOUN
ap-624	103	24	.	.	PUNCT
ap-624	104	1	in	in	ADP
ap-624	104	2	particular	particular	ADJ
ap-624	104	3	a	a	DET
ap-624	104	4	cantilever	cantilever	NOUN
ap-624	104	5	beam	beam	NOUN
ap-624	104	6	of	of	ADP
ap-624	104	7	rectangular	rectangular	PROPN
ap-624	104	8	cross	cross	PROPN
ap-624	104	9	section	section	NOUN
ap-624	104	10	is	be	AUX
ap-624	104	11	subjected	subject	VERB
ap-624	104	12	to	to	PART
ap-624	104	13	parabolic	parabolic	VERB
ap-624	104	14	traction	traction	NOUN
ap-624	104	15	at	at	ADP
ap-624	104	16	its	its	PRON
ap-624	104	17	tip	tip	NOUN
ap-624	104	18	with	with	ADP
ap-624	104	19	the	the	DET
ap-624	104	20	resultant	resultant	NOUN
ap-624	104	21	f	f	PROPN
ap-624	104	22	equal	equal	ADJ
ap-624	104	23	to	to	ADP
ap-624	104	24	40	40	NUM
ap-624	104	25	kn	kn	PROPN
ap-624	104	26	.	.	PUNCT
ap-624	105	1	the	the	DET
ap-624	105	2	geometry	geometry	NOUN
ap-624	105	3	and	and	CCONJ
ap-624	105	4	boundary	boundary	ADJ
ap-624	105	5	conditions	condition	NOUN
ap-624	105	6	of	of	ADP
ap-624	105	7	the	the	DET
ap-624	105	8	beam	beam	NOUN
ap-624	105	9	are	be	AUX
ap-624	105	10	shown	show	VERB
ap-624	105	11	in	in	ADP
ap-624	105	12	fig	fig	NOUN
ap-624	105	13	.	.	PUNCT
ap-624	106	1	7	7	X
ap-624	106	2	.	.	X
ap-624	106	3	the	the	DET
ap-624	106	4	beam	beam	NOUN
ap-624	106	5	thickness	thickness	NOUN
ap-624	106	6	is	be	AUX
ap-624	106	7	1	1	NUM
ap-624	106	8	m.	m.	NOUN
ap-624	106	9	the	the	DET
ap-624	106	10	following	follow	VERB
ap-624	106	11	material	material	NOUN
ap-624	106	12	properties	property	NOUN
ap-624	106	13	are	be	AUX
ap-624	106	14	used	use	VERB
ap-624	106	15	:	:	PUNCT
ap-624	106	16	young‘s	young‘s	ADJ
ap-624	106	17	modulus	modulus	NOUN
ap-624	106	18	e	e	X
ap-624	106	19	�	�	PROPN
ap-624	106	20	30000	30000	NUM
ap-624	106	21	kpa	kpa	PROPN
ap-624	106	22	and	and	CCONJ
ap-624	106	23	poisson	poisson	PROPN
ap-624	106	24	’s	’s	PART
ap-624	106	25	ratio	ratio	NOUN
ap-624	106	26	�	�	PROPN
ap-624	106	27	0.25	0.25	NUM
ap-624	106	28	.	.	PUNCT
ap-624	107	1	the	the	DET
ap-624	107	2	vertical	vertical	ADJ
ap-624	107	3	deflection	deflection	NOUN
ap-624	107	4	at	at	ADP
ap-624	107	5	point	point	NOUN
ap-624	107	6	c	c	NOUN
ap-624	107	7	according	accord	VERB
ap-624	107	8	to	to	ADP
ap-624	107	9	the	the	DET
ap-624	107	10	theory	theory	NOUN
ap-624	107	11	of	of	ADP
ap-624	107	12	elasticity	elasticity	NOUN
ap-624	107	13	,	,	PUNCT
ap-624	107	14	ref	ref	NOUN
ap-624	107	15	.	.	PUNCT
ap-624	108	1	[	[	X
ap-624	108	2	6	6	NUM
ap-624	108	3	]	]	PUNCT
ap-624	108	4	,	,	PUNCT
ap-624	108	5	is	be	AUX
ap-624	108	6	wc	wc	PROPN
ap-624	108	7	�	�	PROPN
ap-624	108	8	0.3558	0.3558	NUM
ap-624	108	9	m.	m.	NOUN
ap-624	108	10	table	table	NOUN
ap-624	108	11	1	1	NUM
ap-624	108	12	lists	list	VERB
ap-624	108	13	the	the	DET
ap-624	108	14	numerical	numerical	ADJ
ap-624	108	15	results	result	NOUN
ap-624	108	16	obtained	obtain	VERB
ap-624	108	17	for	for	ADP
ap-624	108	18	the	the	DET
ap-624	108	19	tip	tip	NOUN
ap-624	108	20	deflection	deflection	NOUN
ap-624	108	21	.	.	PUNCT
ap-624	109	1	these	these	PRON
ap-624	109	2	are	be	AUX
ap-624	109	3	compared	compare	VERB
ap-624	109	4	with	with	ADP
ap-624	109	5	the	the	DET
ap-624	109	6	results	result	NOUN
ap-624	109	7	obtained	obtain	VERB
ap-624	109	8	using	use	VERB
ap-624	109	9	the	the	DET
ap-624	109	10	constant	constant	ADJ
ap-624	109	11	strain	strain	NOUN
ap-624	109	12	triangle	triangle	NOUN
ap-624	109	13	(	(	PUNCT
ap-624	109	14	cst	cst	PROPN
ap-624	109	15	)	)	PUNCT
ap-624	109	16	,	,	PUNCT
ap-624	109	17	the	the	DET
ap-624	109	18	linear	linear	ADJ
ap-624	109	19	strain	strain	NOUN
ap-624	109	20	triangle	triangle	NOUN
ap-624	109	21	(	(	PUNCT
ap-624	109	22	lst	lst	NOUN
ap-624	109	23	)	)	PUNCT
ap-624	109	24	,	,	PUNCT
ap-624	109	25	the	the	DET
ap-624	109	26	element	element	NOUN
ap-624	109	27	of	of	ADP
ap-624	109	28	allman	allman	NOUN
ap-624	109	29	[	[	X
ap-624	109	30	1	1	X
ap-624	109	31	]	]	PUNCT
ap-624	109	32	and	and	CCONJ
ap-624	109	33	lee	lee	PROPN
ap-624	110	1	[	[	X
ap-624	110	2	5	5	NUM
ap-624	110	3	]	]	PUNCT
ap-624	110	4	.	.	PUNCT
ap-624	111	1	the	the	DET
ap-624	111	2	values	value	NOUN
ap-624	111	3	of	of	ADP
ap-624	111	4	the	the	DET
ap-624	111	5	tip	tip	NOUN
ap-624	111	6	deflection	deflection	NOUN
ap-624	111	7	obtained	obtain	VERB
ap-624	111	8	with	with	ADP
ap-624	111	9	the	the	DET
ap-624	111	10	present	present	ADJ
ap-624	111	11	element	element	NOUN
ap-624	111	12	are	be	AUX
ap-624	111	13	closer	close	ADJ
ap-624	111	14	to	to	ADP
ap-624	111	15	the	the	DET
ap-624	111	16	exact	exact	ADJ
ap-624	111	17	solution	solution	NOUN
ap-624	111	18	than	than	ADP
ap-624	111	19	those	those	PRON
ap-624	111	20	obtained	obtain	VERB
ap-624	111	21	using	use	VERB
ap-624	111	22	the	the	DET
ap-624	111	23	cst	cst	PROPN
ap-624	111	24	and	and	CCONJ
ap-624	111	25	the	the	DET
ap-624	111	26	element	element	NOUN
ap-624	111	27	due	due	ADP
ap-624	111	28	to	to	ADP
ap-624	111	29	lee	lee	PROPN
ap-624	111	30	.	.	PUNCT
ap-624	112	1	the	the	DET
ap-624	112	2	high	high	ADJ
ap-624	112	3	accuracy	accuracy	NOUN
ap-624	112	4	of	of	ADP
ap-624	112	5	the	the	DET
ap-624	112	6	results	result	NOUN
ap-624	112	7	calculated	calculate	VERB
ap-624	112	8	here	here	ADV
ap-624	112	9	with	with	ADP
ap-624	112	10	a	a	DET
ap-624	112	11	mesh	mesh	NOUN
ap-624	112	12	of	of	ADP
ap-624	112	13	128	128	NUM
ap-624	112	14	elements	element	NOUN
ap-624	112	15	is	be	AUX
ap-624	112	16	particularly	particularly	ADV
ap-624	112	17	noteworthy	noteworthy	ADJ
ap-624	112	18	(	(	PUNCT
ap-624	112	19	even	even	ADV
ap-624	112	20	outperforming	outperform	VERB
ap-624	112	21	allman	allman	PROPN
ap-624	112	22	’s	’s	PART
ap-624	112	23	element	element	NOUN
ap-624	112	24	)	)	PUNCT
ap-624	112	25	.	.	PUNCT
ap-624	113	1	77	77	NUM
ap-624	113	2	acta	acta	PROPN
ap-624	113	3	polytechnica	polytechnica	PROPN
ap-624	113	4	vol	vol	NOUN
ap-624	113	5	.	.	PROPN
ap-624	113	6	44	44	NUM
ap-624	113	7	no	no	NOUN
ap-624	113	8	.	.	PUNCT
ap-624	114	1	5–6/2004	5–6/2004	NUM
ap-624	114	2	1	1	NUM
ap-624	114	3	2	2	NUM
ap-624	114	4	3	3	NUM
ap-624	114	5	u1	u1	NOUN
ap-624	114	6	v1	v1	NOUN
ap-624	114	7	u1	u1	PROPN
ap-624	114	8	�	�	PROPN
ap-624	114	9	u12	u12	PROPN
ap-624	114	10	v1	v1	PROPN
ap-624	114	11	�	�	PROPN
ap-624	114	12	v12	v12	VERB
ap-624	114	13	u3	u3	NOUN
ap-624	114	14	v3	v3	PROPN
ap-624	114	15	x	x	PROPN
ap-624	114	16	y	y	PROPN
ap-624	114	17	u2	u2	PROPN
ap-624	114	18	v2	v2	PROPN
ap-624	114	19	fig	fig	NOUN
ap-624	114	20	.	.	PUNCT
ap-624	115	1	5	5	NUM
ap-624	115	2	:	:	PUNCT
ap-624	115	3	rigid	rigid	ADJ
ap-624	115	4	body	body	NOUN
ap-624	115	5	motions	motion	NOUN
ap-624	115	6	–	–	PUNCT
ap-624	115	7	translation	translation	NOUN
ap-624	115	8	1	1	NUM
ap-624	115	9	2	2	NUM
ap-624	115	10	3	3	NUM
ap-624	115	11	�	�	PROPN
ap-624	115	12	1	1	NUM
ap-624	115	13	x	x	SYM
ap-624	115	14	y	y	PROPN
ap-624	115	15	�	�	PROPN
ap-624	115	16	�	�	PROPN
ap-624	115	17	�	�	PROPN
ap-624	115	18	1	1	NUM
ap-624	115	19	fig	fig	NOUN
ap-624	115	20	.	.	PUNCT
ap-624	116	1	6	6	NUM
ap-624	116	2	rigid	rigid	ADJ
ap-624	116	3	body	body	NOUN
ap-624	116	4	motions	motion	NOUN
ap-624	116	5	rotation	rotation	VERB
ap-624	116	6	4.8	4.8	NUM
ap-624	116	7	m	m	NOUN
ap-624	116	8	1	1	NUM
ap-624	117	1	.2	.2	NUM
ap-624	118	1	x	x	PUNCT
ap-624	119	1	y	y	NOUN
ap-624	119	2	f	f	NOUN
ap-624	119	3	=	=	NOUN
ap-624	120	1	4	4	NUM
ap-624	120	2	0	0	NUM
ap-624	120	3	k	k	PROPN
ap-624	120	4	n	n	PROPN
ap-624	120	5	c	c	NOUN
ap-624	120	6	5	5	NUM
ap-624	120	7	0	0	NUM
ap-624	120	8	4	4	NUM
ap-624	120	9	1	1	NUM
ap-624	120	10	.6	.6	NUM
ap-624	120	11	6	6	NUM
ap-624	120	12	4	4	NUM
ap-624	120	13	1	1	NUM
ap-624	120	14	.6	.6	NUM
ap-624	120	15	6	6	NUM
ap-624	120	16	reserve	reserve	NOUN
ap-624	120	17	linear	linear	PROPN
ap-624	120	18	loading	loading	NOUN
ap-624	120	19	fig	fig	NOUN
ap-624	120	20	.	.	PUNCT
ap-624	121	1	7	7	NUM
ap-624	121	2	:	:	PUNCT
ap-624	121	3	cantilever	cantilever	NOUN
ap-624	121	4	beam	beam	NOUN
ap-624	121	5	the	the	DET
ap-624	121	6	three	three	NUM
ap-624	121	7	adopted	adopted	ADJ
ap-624	121	8	mesh	mesh	NOUN
ap-624	121	9	patterns	pattern	NOUN
ap-624	121	10	are	be	AUX
ap-624	121	11	shown	show	VERB
ap-624	121	12	in	in	ADP
ap-624	121	13	fig	fig	NOUN
ap-624	121	14	.	.	PUNCT
ap-624	122	1	8	8	NUM
ap-624	122	2	.	.	X
ap-624	122	3	4.2	4.2	NUM
ap-624	122	4	cantilever	cantilever	NOUN
ap-624	122	5	beam	beam	NOUN
ap-624	122	6	under	under	ADP
ap-624	122	7	end	end	NOUN
ap-624	122	8	moment	moment	NOUN
ap-624	122	9	the	the	DET
ap-624	122	10	next	next	ADJ
ap-624	122	11	example	example	NOUN
ap-624	122	12	is	be	AUX
ap-624	122	13	a	a	DET
ap-624	122	14	cantilever	cantilever	NOUN
ap-624	122	15	beam	beam	NOUN
ap-624	122	16	subjected	subject	VERB
ap-624	122	17	to	to	ADP
ap-624	122	18	the	the	DET
ap-624	122	19	end	end	NOUN
ap-624	122	20	moment	moment	NOUN
ap-624	122	21	m	m	VERB
ap-624	122	22	�	�	PROPN
ap-624	122	23	100	100	NUM
ap-624	122	24	.	.	PUNCT
ap-624	123	1	the	the	DET
ap-624	123	2	specimen	speciman	NOUN
ap-624	123	3	dimensions	dimension	VERB
ap-624	123	4	together	together	ADV
ap-624	123	5	with	with	ADP
ap-624	123	6	the	the	DET
ap-624	123	7	support	support	NOUN
ap-624	123	8	and	and	CCONJ
ap-624	123	9	loading	loading	NOUN
ap-624	123	10	conditions	condition	NOUN
ap-624	123	11	are	be	AUX
ap-624	123	12	illustrated	illustrate	VERB
ap-624	123	13	in	in	ADP
ap-624	123	14	fig	fig	NOUN
ap-624	123	15	.	.	PUNCT
ap-624	124	1	10	10	NUM
ap-624	124	2	.	.	PUNCT
ap-624	125	1	the	the	DET
ap-624	125	2	modulus	modulus	NOUN
ap-624	125	3	of	of	ADP
ap-624	125	4	elasticity	elasticity	NOUN
ap-624	125	5	and	and	CCONJ
ap-624	125	6	the	the	DET
ap-624	125	7	poisson	poisson	PROPN
ap-624	125	8	ratio	ratio	NOUN
ap-624	125	9	are	be	AUX
ap-624	125	10	set	set	VERB
ap-624	125	11	equal	equal	ADJ
ap-624	125	12	to	to	ADP
ap-624	125	13	e	e	PROPN
ap-624	125	14	�	�	PROPN
ap-624	125	15	768	768	NUM
ap-624	125	16	,	,	PUNCT
ap-624	125	17	�	�	PROPN
ap-624	125	18	0.25	0.25	NUM
ap-624	125	19	so	so	SCONJ
ap-624	125	20	that	that	SCONJ
ap-624	125	21	the	the	DET
ap-624	125	22	exact	exact	ADJ
ap-624	125	23	tip	tip	NOUN
ap-624	125	24	deflection	deflection	NOUN
ap-624	125	25	is	be	AUX
ap-624	125	26	100	100	NUM
ap-624	125	27	.	.	PUNCT
ap-624	126	1	the	the	DET
ap-624	126	2	adopted	adopt	VERB
ap-624	126	3	mesh	mesh	NOUN
ap-624	126	4	patterns	pattern	NOUN
ap-624	126	5	ranging	range	VERB
ap-624	126	6	from	from	ADP
ap-624	126	7	32×2	32×2	NUM
ap-624	126	8	to	to	ADP
ap-624	126	9	2×2	2×2	NUM
ap-624	126	10	(	(	PUNCT
ap-624	126	11	fig	fig	NOUN
ap-624	126	12	.	.	PUNCT
ap-624	126	13	11	11	NUM
ap-624	126	14	)	)	PUNCT
ap-624	126	15	are	be	AUX
ap-624	126	16	used	use	VERB
ap-624	126	17	to	to	PART
ap-624	126	18	examine	examine	VERB
ap-624	126	19	the	the	DET
ap-624	126	20	element	element	NOUN
ap-624	126	21	aspect	aspect	NOUN
ap-624	126	22	ratio	ratio	NOUN
ap-624	126	23	ranging	range	VERB
ap-624	126	24	from	from	ADP
ap-624	126	25	1:1	1:1	NUM
ap-624	126	26	to	to	ADP
ap-624	126	27	16:1	16:1	PROPN
ap-624	126	28	.	.	PUNCT
ap-624	127	1	this	this	DET
ap-624	127	2	element	element	NOUN
ap-624	127	3	performs	perform	VERB
ap-624	127	4	well	well	ADV
ap-624	127	5	for	for	ADP
ap-624	127	6	unit	unit	NOUN
ap-624	127	7	aspect	aspect	NOUN
ap-624	127	8	ratios	ratio	NOUN
ap-624	127	9	,	,	PUNCT
ap-624	127	10	but	but	CCONJ
ap-624	127	11	rapidly	rapidly	ADV
ap-624	127	12	becomes	become	VERB
ap-624	127	13	worse	bad	ADJ
ap-624	127	14	for	for	ADP
ap-624	127	15	aspect	aspect	NOUN
ap-624	127	16	ratios	ratio	NOUN
ap-624	127	17	over	over	ADP
ap-624	127	18	2:1	2:1	NUM
ap-624	127	19	.	.	PUNCT
ap-624	128	1	the	the	DET
ap-624	128	2	results	result	NOUN
ap-624	128	3	for	for	ADP
ap-624	128	4	the	the	DET
ap-624	128	5	present	present	ADJ
ap-624	128	6	element	element	NOUN
ap-624	128	7	are	be	AUX
ap-624	128	8	compared	compare	VERB
ap-624	128	9	in	in	ADP
ap-624	128	10	fig	fig	NOUN
ap-624	128	11	.	.	PUNCT
ap-624	129	1	12	12	NUM
ap-624	129	2	with	with	ADP
ap-624	129	3	the	the	DET
ap-624	129	4	results	result	NOUN
ap-624	129	5	obtained	obtain	VERB
ap-624	129	6	using	use	VERB
ap-624	129	7	the	the	DET
ap-624	129	8	constant	constant	ADJ
ap-624	129	9	strain	strain	NOUN
ap-624	129	10	triangle	triangle	NOUN
ap-624	129	11	(	(	PUNCT
ap-624	129	12	cst	cst	PROPN
ap-624	129	13	)	)	PUNCT
ap-624	129	14	,	,	PUNCT
ap-624	129	15	the	the	DET
ap-624	129	16	element	element	NOUN
ap-624	129	17	of	of	ADP
ap-624	129	18	allman	allman	NOUN
ap-624	130	1	[	[	X
ap-624	130	2	1	1	X
ap-624	130	3	]	]	PUNCT
ap-624	130	4	and	and	CCONJ
ap-624	130	5	the	the	DET
ap-624	130	6	effand	effand	ADJ
ap-624	130	7	element	element	NOUN
ap-624	130	8	due	due	ADP
ap-624	130	9	to	to	PART
ap-624	130	10	felippa	felippa	VERB
ap-624	130	11	and	and	CCONJ
ap-624	130	12	alexander	alexander	NOUN
ap-624	131	1	[	[	X
ap-624	131	2	2	2	NUM
ap-624	131	3	,	,	PUNCT
ap-624	131	4	3	3	NUM
ap-624	131	5	]	]	PUNCT
ap-624	131	6	.	.	PUNCT
ap-624	132	1	numerical	numerical	ADJ
ap-624	132	2	results	result	NOUN
ap-624	132	3	for	for	ADP
ap-624	132	4	the	the	DET
ap-624	132	5	tip	tip	NOUN
ap-624	132	6	deflexion	deflexion	PROPN
ap-624	132	7	wc	wc	PROPN
ap-624	132	8	at	at	ADP
ap-624	132	9	point	point	NOUN
ap-624	132	10	c	c	PROPN
ap-624	132	11	are	be	AUX
ap-624	132	12	also	also	ADV
ap-624	132	13	given	give	VERB
ap-624	132	14	in	in	ADP
ap-624	132	15	table	table	NOUN
ap-624	132	16	2	2	NUM
ap-624	132	17	.	.	X
ap-624	132	18	78	78	NUM
ap-624	132	19	acta	acta	PROPN
ap-624	132	20	polytechnica	polytechnica	PROPN
ap-624	132	21	vol	vol	NOUN
ap-624	132	22	.	.	PROPN
ap-624	133	1	44	44	NUM
ap-624	133	2	no	no	NOUN
ap-624	133	3	.	.	PUNCT
ap-624	134	1	5–6/2004	5–6/2004	NUM
ap-624	134	2	number	number	NOUN
ap-624	134	3	of	of	ADP
ap-624	134	4	elements	element	NOUN
ap-624	134	5	deflection	deflection	NOUN
ap-624	134	6	wc	wc	PROPN
ap-624	134	7	(	(	PUNCT
ap-624	134	8	m	m	PROPN
ap-624	134	9	)	)	PUNCT
ap-624	135	1	cst	cst	PROPN
ap-624	135	2	lst	lst	PROPN
ap-624	135	3	allman	allman	PROPN
ap-624	135	4	lee	lee	PROPN
ap-624	135	5	present	present	ADJ
ap-624	135	6	8	8	NUM
ap-624	135	7	0.0909	0.0909	NUM
ap-624	135	8	0.2696	0.2696	NUM
ap-624	135	9	0.2068	0.2068	NUM
ap-624	135	10	0.240	0.240	NUM
ap-624	135	11	32	32	NUM
ap-624	135	12	0.1988	0.1988	NUM
ap-624	135	13	0.3550	0.3550	NUM
ap-624	135	14	0.3261	0.3261	NUM
ap-624	135	15	0.2958	0.2958	NUM
ap-624	135	16	0.3151	0.3151	NUM
ap-624	135	17	128	128	NUM
ap-624	135	18	0.3115	0.3115	NUM
ap-624	135	19	0.3556	0.3556	NUM
ap-624	135	20	0.3471	0.3471	NUM
ap-624	135	21	0.3388	0.3388	NUM
ap-624	135	22	0.3480	0.3480	NUM
ap-624	135	23	table	table	NOUN
ap-624	135	24	1	1	NUM
ap-624	135	25	0.240	0.240	NUM
ap-624	135	26	0.315	0.315	NUM
ap-624	135	27	0.348	0.348	NUM
ap-624	135	28	fig	fig	NOUN
ap-624	135	29	.	.	PUNCT
ap-624	136	1	8	8	NUM
ap-624	136	2	:	:	PUNCT
ap-624	136	3	mesh	mesh	NOUN
ap-624	136	4	patterns	pattern	NOUN
ap-624	136	5	250	250	NUM
ap-624	136	6	exact	exact	ADJ
ap-624	136	7	=	=	NOUN
ap-624	136	8	0.3558	0.3558	NUM
ap-624	136	9	0.296	0.296	NUM
ap-624	136	10	0.3470.348	0.3470.348	NUM
ap-624	136	11	w	w	NOUN
ap-624	136	12	c	c	NOUN
ap-624	136	13	0.269	0.269	NUM
ap-624	136	14	0.3	0.3	NUM
ap-624	136	15	50	50	NUM
ap-624	136	16	150	150	NUM
ap-624	136	17	300100	300100	NUM
ap-624	136	18	200	200	NUM
ap-624	136	19	allman	allman	NOUN
ap-624	136	20	0.35	0.35	NUM
ap-624	136	21	0.25	0.25	NUM
ap-624	136	22	2	2	NUM
ap-624	136	23	4	4	NUM
ap-624	136	24	0	0	NUM
ap-624	136	25	7	7	NUM
ap-624	136	26	2	2	NUM
ap-624	136	27	0.315	0.315	NUM
ap-624	136	28	present	present	ADJ
ap-624	136	29	2	2	NUM
ap-624	136	30	4	4	NUM
ap-624	136	31	0.326	0.326	NUM
ap-624	136	32	lee	lee	PROPN
ap-624	136	33	0.240	0.240	NUM
ap-624	136	34	number	number	NOUN
ap-624	136	35	of	of	ADP
ap-624	136	36	equations	equation	NOUN
ap-624	136	37	0.339	0.339	NUM
ap-624	136	38	fig	fig	NOUN
ap-624	136	39	.	.	PUNCT
ap-624	137	1	9	9	NUM
ap-624	137	2	:	:	PUNCT
ap-624	137	3	dependence	dependence	NOUN
ap-624	137	4	of	of	ADP
ap-624	137	5	the	the	DET
ap-624	137	6	deflection	deflection	NOUN
ap-624	137	7	wc	wc	NOUN
ap-624	137	8	on	on	ADP
ap-624	137	9	the	the	DET
ap-624	137	10	number	number	NOUN
ap-624	137	11	of	of	ADP
ap-624	137	12	equations	equation	NOUN
ap-624	137	13	32	32	NUM
ap-624	137	14	m	m	NOUN
ap-624	137	15	2	2	NUM
ap-624	137	16	x	x	SYM
ap-624	137	17	y	y	PROPN
ap-624	137	18	m=100	m=100	PROPN
ap-624	137	19	c	c	NOUN
ap-624	137	20	fig	fig	NOUN
ap-624	137	21	.	.	PUNCT
ap-624	138	1	10	10	NUM
ap-624	138	2	:	:	PUNCT
ap-624	138	3	cantilever	cantilever	NOUN
ap-624	138	4	beam	beam	NOUN
ap-624	138	5	number	number	NOUN
ap-624	138	6	of	of	ADP
ap-624	138	7	elements	element	NOUN
ap-624	138	8	deflection	deflection	NOUN
ap-624	138	9	wc	wc	PROPN
ap-624	138	10	(	(	PUNCT
ap-624	138	11	m	m	PROPN
ap-624	138	12	)	)	PUNCT
ap-624	138	13	cst	cst	PROPN
ap-624	138	14	effand	effand	PROPN
ap-624	138	15	allman	allman	PROPN
ap-624	138	16	3i	3i	PROPN
ap-624	138	17	allman	allman	NOUN
ap-624	138	18	7	7	NUM
ap-624	138	19	i	i	PRON
ap-624	138	20	present	present	VERB
ap-624	138	21	2×2	2×2	NOUN
ap-624	138	22	1.28	1.28	NUM
ap-624	138	23	100.07	100.07	NUM
ap-624	138	24	0.39	0.39	NUM
ap-624	138	25	0.16	0.16	NUM
ap-624	138	26	1.10	1.10	NUM
ap-624	138	27	4×2	4×2	NOUN
ap-624	138	28	4.82	4.82	NUM
ap-624	138	29	99.96	99.96	NUM
ap-624	138	30	5.42	5.42	NUM
ap-624	138	31	2.47	2.47	NUM
ap-624	138	32	3.31	3.31	NUM
ap-624	138	33	8×2	8×2	NUM
ap-624	138	34	15.75	15.75	NUM
ap-624	138	35	99.99	99.99	NUM
ap-624	138	36	38.32	38.32	NUM
ap-624	138	37	24.25	24.25	NUM
ap-624	138	38	25.53	25.53	NUM
ap-624	138	39	16×2	16×2	PROPN
ap-624	138	40	36.36	36.36	NUM
ap-624	138	41	99.99	99.99	NUM
ap-624	138	42	76.48	76.48	NUM
ap-624	138	43	69.09	69.09	NUM
ap-624	138	44	69.70	69.70	NUM
ap-624	138	45	table	table	NOUN
ap-624	138	46	2	2	NUM
ap-624	138	47	:	:	PUNCT
ap-624	138	48	tip	tip	NOUN
ap-624	138	49	deflections	deflection	NOUN
ap-624	138	50	for	for	ADP
ap-624	138	51	a	a	DET
ap-624	138	52	beam	beam	NOUN
ap-624	138	53	under	under	ADP
ap-624	138	54	end	end	NOUN
ap-624	138	55	moment	moment	NOUN
ap-624	138	56	1.10	1.10	NUM
ap-624	138	57	25.5	25.5	NUM
ap-624	138	58	fig	fig	NOUN
ap-624	138	59	.	.	PUNCT
ap-624	139	1	11	11	NUM
ap-624	139	2	:	:	PUNCT
ap-624	139	3	mesh	mesh	NOUN
ap-624	139	4	patterns	pattern	NOUN
ap-624	139	5	2×2	2×2	NOUN
ap-624	139	6	,	,	PUNCT
ap-624	139	7	8×2	8×2	NUM
ap-624	139	8	5	5	NUM
ap-624	139	9	conclusions	conclusion	NOUN
ap-624	139	10	this	this	DET
ap-624	139	11	paper	paper	NOUN
ap-624	139	12	presents	present	VERB
ap-624	139	13	the	the	DET
ap-624	139	14	derivation	derivation	NOUN
ap-624	139	15	of	of	ADP
ap-624	139	16	a	a	DET
ap-624	139	17	simple	simple	ADJ
ap-624	139	18	triangular	triangular	NOUN
ap-624	139	19	membrane	membrane	NOUN
ap-624	139	20	finite	finite	NOUN
ap-624	139	21	element	element	NOUN
ap-624	139	22	using	use	VERB
ap-624	139	23	the	the	DET
ap-624	139	24	principle	principle	NOUN
ap-624	139	25	of	of	ADP
ap-624	139	26	minimum	minimum	ADJ
ap-624	139	27	potential	potential	ADJ
ap-624	139	28	energy	energy	NOUN
ap-624	139	29	.	.	PUNCT
ap-624	140	1	the	the	DET
ap-624	140	2	formulation	formulation	NOUN
ap-624	140	3	of	of	ADP
ap-624	140	4	two	two	NUM
ap-624	140	5	stiffness	stiffness	ADJ
ap-624	140	6	matrices	matrix	NOUN
ap-624	140	7	–	–	PUNCT
ap-624	140	8	the	the	DET
ap-624	140	9	pure	pure	ADJ
ap-624	140	10	stiffness	stiffness	NOUN
ap-624	140	11	matrix	matrix	NOUN
ap-624	140	12	depending	depend	VERB
ap-624	140	13	on	on	ADP
ap-624	140	14	elongations	elongation	NOUN
ap-624	140	15	of	of	ADP
ap-624	140	16	the	the	DET
ap-624	140	17	edges	edge	NOUN
ap-624	140	18	and	and	CCONJ
ap-624	140	19	the	the	DET
ap-624	140	20	global	global	ADJ
ap-624	140	21	matrix	matrix	NOUN
ap-624	140	22	depending	depend	VERB
ap-624	140	23	on	on	ADP
ap-624	140	24	nodal	nodal	NOUN
ap-624	140	25	displacements	displacement	NOUN
ap-624	140	26	ui	ui	PROPN
ap-624	140	27	,	,	PUNCT
ap-624	140	28	vi	vi	PROPN
ap-624	140	29	,	,	PUNCT
ap-624	140	30	�	�	PROPN
ap-624	140	31	i	i	PRON
ap-624	140	32	–	–	PUNCT
ap-624	140	33	enables	enable	VERB
ap-624	140	34	nonlinear	nonlinear	ADJ
ap-624	140	35	problems	problem	NOUN
ap-624	140	36	to	to	PART
ap-624	140	37	be	be	AUX
ap-624	140	38	solved	solve	VERB
ap-624	140	39	more	more	ADV
ap-624	140	40	effectively	effectively	ADV
ap-624	140	41	and	and	CCONJ
ap-624	140	42	quickly	quickly	ADV
ap-624	140	43	due	due	ADP
ap-624	140	44	to	to	ADP
ap-624	140	45	the	the	DET
ap-624	140	46	simple	simple	ADJ
ap-624	140	47	calculation	calculation	NOUN
ap-624	140	48	of	of	ADP
ap-624	140	49	the	the	DET
ap-624	140	50	unbalanced	unbalanced	ADJ
ap-624	140	51	forces	force	NOUN
ap-624	140	52	.	.	PUNCT
ap-624	141	1	it	it	PRON
ap-624	141	2	is	be	AUX
ap-624	141	3	advantage	advantage	NOUN
ap-624	141	4	in	in	ADP
ap-624	141	5	comparison	comparison	NOUN
ap-624	141	6	with	with	ADP
ap-624	141	7	quadrilateral	quadrilateral	ADJ
ap-624	141	8	elements	element	NOUN
ap-624	141	9	[	[	X
ap-624	141	10	4	4	NUM
ap-624	141	11	]	]	PUNCT
ap-624	141	12	.	.	PUNCT
ap-624	142	1	the	the	DET
ap-624	142	2	element	element	NOUN
ap-624	142	3	can	can	AUX
ap-624	142	4	represent	represent	VERB
ap-624	142	5	exactly	exactly	ADV
ap-624	142	6	all	all	DET
ap-624	142	7	constant	constant	ADJ
ap-624	142	8	strain	strain	NOUN
ap-624	142	9	states	state	NOUN
ap-624	142	10	.	.	PUNCT
ap-624	143	1	the	the	DET
ap-624	143	2	numerical	numerical	ADJ
ap-624	143	3	results	result	NOUN
ap-624	143	4	from	from	ADP
ap-624	143	5	the	the	DET
ap-624	143	6	selected	select	VERB
ap-624	143	7	test	test	NOUN
ap-624	143	8	example	example	NOUN
ap-624	143	9	show	show	VERB
ap-624	143	10	that	that	SCONJ
ap-624	143	11	quite	quite	ADV
ap-624	143	12	acceptable	acceptable	ADJ
ap-624	143	13	accuracy	accuracy	NOUN
ap-624	143	14	is	be	AUX
ap-624	143	15	achieved	achieve	VERB
ap-624	143	16	for	for	ADP
ap-624	143	17	practical	practical	ADJ
ap-624	143	18	applications	application	NOUN
ap-624	143	19	.	.	PUNCT
ap-624	144	1	appendix	appendix	VERB
ap-624	144	2	a	a	DET
ap-624	144	3	area	area	NOUN
ap-624	144	4	coordinates	coordinate	VERB
ap-624	144	5	the	the	DET
ap-624	144	6	use	use	NOUN
ap-624	144	7	of	of	ADP
ap-624	144	8	area	area	NOUN
ap-624	144	9	coordinates	coordinate	NOUN
ap-624	144	10	enables	enable	VERB
ap-624	144	11	the	the	DET
ap-624	144	12	relation	relation	NOUN
ap-624	144	13	for	for	ADP
ap-624	144	14	one	one	NUM
ap-624	144	15	edge	edge	NOUN
ap-624	144	16	or	or	CCONJ
ap-624	144	17	one	one	NUM
ap-624	144	18	vertex	vertex	NOUN
ap-624	144	19	to	to	PART
ap-624	144	20	be	be	AUX
ap-624	144	21	derived	derive	VERB
ap-624	144	22	.	.	PUNCT
ap-624	145	1	the	the	DET
ap-624	145	2	other	other	ADJ
ap-624	145	3	relations	relation	NOUN
ap-624	145	4	are	be	AUX
ap-624	145	5	obtained	obtain	VERB
ap-624	145	6	by	by	ADP
ap-624	145	7	cyclic	cyclic	ADJ
ap-624	145	8	substitution	substitution	NOUN
ap-624	145	9	i	i	PRON
ap-624	145	10	from	from	ADP
ap-624	145	11	1	1	NUM
ap-624	145	12	to	to	ADP
ap-624	145	13	2	2	NUM
ap-624	145	14	,	,	PUNCT
ap-624	145	15	from	from	ADP
ap-624	145	16	2	2	NUM
ap-624	145	17	to	to	ADP
ap-624	145	18	3	3	NUM
ap-624	145	19	,	,	PUNCT
ap-624	145	20	from	from	ADP
ap-624	145	21	3	3	NUM
ap-624	145	22	to	to	PART
ap-624	145	23	1	1	NUM
ap-624	145	24	.	.	PUNCT
ap-624	146	1	l	l	NOUN
ap-624	146	2	a	a	DET
ap-624	146	3	a	a	DET
ap-624	146	4	a	a	DET
ap-624	146	5	b	b	NOUN
ap-624	146	6	x	x	SYM
ap-624	146	7	c	c	NOUN
ap-624	146	8	y	y	NOUN
ap-624	146	9	ai	ai	VERB
ap-624	146	10	i	i	PRON
ap-624	147	1	i	i	PRON
ap-624	148	1	i	i	PRON
ap-624	149	1	i	i	PROPN
ap-624	149	2	�	�	PROPN
ap-624	149	3	�	�	PROPN
ap-624	149	4	�	�	PROPN
ap-624	149	5	�	�	PROPN
ap-624	149	6	(	(	PUNCT
ap-624	149	7	)	)	PUNCT
ap-624	149	8	2	2	NUM
ap-624	149	9	,	,	PUNCT
ap-624	149	10	where	where	SCONJ
ap-624	149	11	a	a	PRON
ap-624	149	12	is	be	AUX
ap-624	149	13	the	the	DET
ap-624	149	14	area	area	NOUN
ap-624	149	15	of	of	ADP
ap-624	149	16	the	the	DET
ap-624	149	17	triangle	triangle	NOUN
ap-624	149	18	,	,	PUNCT
ap-624	149	19	a	a	PRON
ap-624	149	20	x	x	X
ap-624	149	21	y	y	NOUN
ap-624	149	22	x	x	PROPN
ap-624	149	23	y	y	PROPN
ap-624	149	24	b	b	PROPN
ap-624	149	25	y	y	PROPN
ap-624	149	26	y	y	PROPN
ap-624	149	27	c	c	PROPN
ap-624	149	28	x	x	SYM
ap-624	149	29	xi	xi	PROPN
ap-624	150	1	j	j	PROPN
ap-624	150	2	k	k	PROPN
ap-624	151	1	k	k	PROPN
ap-624	151	2	j	j	PROPN
ap-624	152	1	i	i	PRON
ap-624	152	2	j	j	PROPN
ap-624	153	1	k	k	INTJ
ap-624	154	1	i	i	PRON
ap-624	154	2	j	j	PROPN
ap-624	154	3	k	k	PROPN
ap-624	154	4	�	�	PROPN
ap-624	154	5	�	�	PROPN
ap-624	154	6	�	�	PROPN
ap-624	154	7	�	�	PROPN
ap-624	154	8	�	�	PROPN
ap-624	154	9	�	�	PROPN
ap-624	154	10	,	,	PUNCT
ap-624	154	11	,	,	PUNCT
ap-624	154	12	,	,	PUNCT
ap-624	154	13	and	and	CCONJ
ap-624	154	14	xi	xi	PROPN
ap-624	154	15	,	,	PUNCT
ap-624	154	16	yi	yi	PROPN
ap-624	154	17	are	be	AUX
ap-624	154	18	the	the	DET
ap-624	154	19	coordinates	coordinate	NOUN
ap-624	154	20	of	of	ADP
ap-624	154	21	the	the	DET
ap-624	154	22	node	node	NOUN
ap-624	154	23	in	in	ADP
ap-624	154	24	fig.13	fig.13	PROPN
ap-624	154	25	.	.	PUNCT
ap-624	155	1	acknowledgment	acknowledgment	NOUN
ap-624	155	2	financial	financial	ADJ
ap-624	155	3	support	support	NOUN
ap-624	155	4	from	from	ADP
ap-624	155	5	gačr	gačr	NOUN
ap-624	155	6	103	103	NUM
ap-624	155	7	02	02	NUM
ap-624	155	8	0658	0658	NUM
ap-624	155	9	and	and	CCONJ
ap-624	155	10	msm	msm	NOUN
ap-624	155	11	210000001	210000001	NUM
ap-624	155	12	is	be	AUX
ap-624	155	13	gratefully	gratefully	ADV
ap-624	155	14	acknowledged	acknowledge	VERB
ap-624	155	15	.	.	PUNCT
ap-624	156	1	references	reference	NOUN
ap-624	156	2	[	[	X
ap-624	156	3	1	1	NUM
ap-624	156	4	]	]	PUNCT
ap-624	156	5	allman	allman	PROPN
ap-624	156	6	d.	d.	PROPN
ap-624	156	7	j	j	PROPN
ap-624	156	8	:	:	PUNCT
ap-624	156	9	“	"	PUNCT
ap-624	156	10	a	a	DET
ap-624	156	11	compatible	compatible	ADJ
ap-624	156	12	triangular	triangular	NOUN
ap-624	156	13	element	element	NOUN
ap-624	156	14	including	include	VERB
ap-624	156	15	vertex	vertex	NOUN
ap-624	156	16	rigid	rigid	ADJ
ap-624	156	17	rotations	rotation	NOUN
ap-624	156	18	for	for	ADP
ap-624	156	19	plane	plane	NOUN
ap-624	156	20	elasticity	elasticity	NOUN
ap-624	156	21	,	,	PUNCT
ap-624	156	22	analysis	analysis	NOUN
ap-624	156	23	.	.	PUNCT
ap-624	156	24	”	"	PUNCT
ap-624	157	1	computer	computer	NOUN
ap-624	157	2	&	&	CCONJ
ap-624	157	3	structures	structure	NOUN
ap-624	157	4	,	,	PUNCT
ap-624	157	5	vol	vol	NOUN
ap-624	157	6	.	.	PROPN
ap-624	157	7	19	19	NUM
ap-624	157	8	(	(	PUNCT
ap-624	157	9	1984	1984	NUM
ap-624	157	10	)	)	PUNCT
ap-624	157	11	.	.	PUNCT
ap-624	158	1	[	[	X
ap-624	158	2	2	2	X
ap-624	158	3	]	]	PUNCT
ap-624	158	4	bergan	bergan	NOUN
ap-624	158	5	p.	p.	PROPN
ap-624	158	6	g.	g.	PROPN
ap-624	158	7	,	,	PUNCT
ap-624	158	8	felippa	felippa	PROPN
ap-624	158	9	c.	c.	PROPN
ap-624	158	10	a.	a.	PROPN
ap-624	158	11	:	:	PUNCT
ap-624	158	12	“	"	PUNCT
ap-624	158	13	a	a	DET
ap-624	158	14	triangular	triangular	NOUN
ap-624	158	15	membrane	membrane	NOUN
ap-624	158	16	element	element	NOUN
ap-624	158	17	with	with	ADP
ap-624	158	18	rotational	rotational	ADJ
ap-624	158	19	degrees	degree	NOUN
ap-624	158	20	of	of	ADP
ap-624	158	21	freedom	freedom	NOUN
ap-624	158	22	.	.	PUNCT
ap-624	158	23	”	"	PUNCT
ap-624	159	1	computer	computer	NOUN
ap-624	159	2	methods	method	NOUN
ap-624	159	3	in	in	ADP
ap-624	159	4	app	app	PROPN
ap-624	159	5	.	.	PROPN
ap-624	159	6	mech	mech	PROPN
ap-624	159	7	.	.	PUNCT
ap-624	159	8	and	and	CCONJ
ap-624	159	9	eng	eng	PROPN
ap-624	159	10	.	.	PROPN
ap-624	159	11	,	,	PUNCT
ap-624	159	12	vol	vol	NOUN
ap-624	159	13	.	.	PROPN
ap-624	159	14	50	50	NUM
ap-624	159	15	(	(	PUNCT
ap-624	159	16	1985	1985	NUM
ap-624	159	17	)	)	PUNCT
ap-624	159	18	,	,	PUNCT
ap-624	159	19	p.	p.	NOUN
ap-624	159	20	25–69	25–69	NUM
ap-624	159	21	.	.	PUNCT
ap-624	160	1	[	[	X
ap-624	160	2	3	3	NUM
ap-624	160	3	]	]	PUNCT
ap-624	160	4	felippa	felippa	PROPN
ap-624	160	5	c.	c.	PROPN
ap-624	160	6	a.	a.	PROPN
ap-624	160	7	,	,	PUNCT
ap-624	160	8	alexander	alexander	PROPN
ap-624	160	9	s.	s.	PROPN
ap-624	160	10	:	:	PUNCT
ap-624	160	11	“	"	PUNCT
ap-624	160	12	membrane	membrane	NOUN
ap-624	160	13	triangles	triangle	NOUN
ap-624	160	14	with	with	ADP
ap-624	160	15	corner	corner	NOUN
ap-624	160	16	drilling	drilling	NOUN
ap-624	160	17	freedoms	freedom	NOUN
ap-624	160	18	–	–	PUNCT
ap-624	160	19	iii	iii	X
ap-624	160	20	.	.	NOUN
ap-624	160	21	implementation	implementation	NOUN
ap-624	160	22	and	and	CCONJ
ap-624	160	23	performance	performance	NOUN
ap-624	160	24	evalution	evalution	NOUN
ap-624	160	25	.	.	PUNCT
ap-624	160	26	”	"	PUNCT
ap-624	161	1	finite	finite	ADJ
ap-624	161	2	elements	element	NOUN
ap-624	161	3	in	in	ADP
ap-624	161	4	analysis	analysis	NOUN
ap-624	161	5	and	and	CCONJ
ap-624	161	6	design	design	NOUN
ap-624	161	7	,	,	PUNCT
ap-624	161	8	vol	vol	NOUN
ap-624	161	9	.	.	PROPN
ap-624	161	10	12	12	NUM
ap-624	161	11	(	(	PUNCT
ap-624	161	12	1992	1992	NUM
ap-624	161	13	)	)	PUNCT
ap-624	161	14	,	,	PUNCT
ap-624	162	1	p.	p.	NOUN
ap-624	162	2	203–239	203–239	NUM
ap-624	162	3	.	.	PUNCT
ap-624	163	1	[	[	X
ap-624	163	2	4	4	X
ap-624	163	3	]	]	X
ap-624	163	4	ibrahimbegovic	ibrahimbegovic	ADJ
ap-624	163	5	a.	a.	NOUN
ap-624	163	6	,	,	PUNCT
ap-624	163	7	taylor	taylor	PROPN
ap-624	163	8	r.	r.	PROPN
ap-624	163	9	l.	l.	PROPN
ap-624	163	10	,	,	PUNCT
ap-624	163	11	wilson	wilson	PROPN
ap-624	163	12	e.	e.	PROPN
ap-624	163	13	l.	l.	PROPN
ap-624	163	14	:	:	PUNCT
ap-624	163	15	“	"	PUNCT
ap-624	163	16	a	a	DET
ap-624	163	17	robust	robust	ADJ
ap-624	163	18	quadrilateral	quadrilateral	ADJ
ap-624	163	19	membrane	membrane	NOUN
ap-624	163	20	finite	finite	NOUN
ap-624	163	21	element	element	NOUN
ap-624	163	22	with	with	ADP
ap-624	163	23	drilling	drilling	NOUN
ap-624	163	24	degrees	degree	NOUN
ap-624	163	25	of	of	ADP
ap-624	163	26	freedom	freedom	NOUN
ap-624	163	27	.	.	PUNCT
ap-624	163	28	”	"	PUNCT
ap-624	164	1	int	int	NOUN
ap-624	164	2	.	.	PUNCT
ap-624	165	1	journal	journal	PROPN
ap-624	165	2	for	for	ADP
ap-624	165	3	numerical	numerical	ADJ
ap-624	165	4	meth	meth	NOUN
ap-624	165	5	.	.	PUNCT
ap-624	166	1	in	in	ADP
ap-624	166	2	.	.	PUNCT
ap-624	167	1	eng	eng	PROPN
ap-624	167	2	.	.	PROPN
ap-624	167	3	,	,	PUNCT
ap-624	167	4	vol	vol	NOUN
ap-624	167	5	.	.	PROPN
ap-624	167	6	30	30	NUM
ap-624	167	7	(	(	PUNCT
ap-624	167	8	1990	1990	NUM
ap-624	167	9	)	)	PUNCT
ap-624	167	10	,	,	PUNCT
ap-624	167	11	p.	p.	NOUN
ap-624	167	12	445–457	445–457	NUM
ap-624	167	13	.	.	PUNCT
ap-624	168	1	[	[	X
ap-624	168	2	5	5	X
ap-624	168	3	]	]	X
ap-624	168	4	lee	lee	PROPN
ap-624	168	5	s.	s.	PROPN
ap-624	168	6	c.	c.	PROPN
ap-624	168	7	,	,	PUNCT
ap-624	168	8	yoo	yoo	PROPN
ap-624	168	9	ch	ch	PROPN
ap-624	168	10	.	.	PUNCT
ap-624	168	11	h.	h.	PROPN
ap-624	168	12	:	:	PUNCT
ap-624	168	13	“	"	PUNCT
ap-624	168	14	a	a	DET
ap-624	168	15	novel	novel	ADJ
ap-624	168	16	shell	shell	NOUN
ap-624	168	17	element	element	NOUN
ap-624	168	18	including	include	VERB
ap-624	168	19	in	in	ADP
ap-624	168	20	plane	plane	NOUN
ap-624	168	21	torque	torque	NOUN
ap-624	168	22	effect	effect	NOUN
ap-624	168	23	.	.	PUNCT
ap-624	168	24	”	"	PUNCT
ap-624	168	25	computer	computer	NOUN
ap-624	168	26	&	&	CCONJ
ap-624	168	27	structures	structure	NOUN
ap-624	168	28	,	,	PUNCT
ap-624	168	29	vol	vol	NOUN
ap-624	168	30	.	.	PROPN
ap-624	168	31	28	28	NUM
ap-624	168	32	(	(	PUNCT
ap-624	168	33	1988	1988	NUM
ap-624	168	34	)	)	PUNCT
ap-624	168	35	.	.	PUNCT
ap-624	169	1	[	[	X
ap-624	169	2	6	6	NUM
ap-624	169	3	]	]	PUNCT
ap-624	169	4	timoshenko	timoshenko	ADJ
ap-624	169	5	s.	s.	PROPN
ap-624	169	6	,	,	PUNCT
ap-624	169	7	goodier	goodier	PROPN
ap-624	169	8	j.	j.	PROPN
ap-624	169	9	n.	n.	PROPN
ap-624	169	10	:	:	PUNCT
ap-624	169	11	“	"	PUNCT
ap-624	169	12	theory	theory	NOUN
ap-624	169	13	of	of	ADP
ap-624	169	14	elasticity	elasticity	NOUN
ap-624	169	15	.	.	PUNCT
ap-624	169	16	”	"	PUNCT
ap-624	170	1	3rd	3rd	ADJ
ap-624	170	2	edn	edn	PROPN
ap-624	170	3	.	.	PUNCT
ap-624	170	4	,	,	PUNCT
ap-624	170	5	mcgraw	mcgraw	PROPN
ap-624	170	6	-	-	PUNCT
ap-624	170	7	hill	hill	PROPN
ap-624	170	8	,	,	PUNCT
ap-624	170	9	new	new	PROPN
ap-624	170	10	york	york	PROPN
ap-624	170	11	,	,	PUNCT
ap-624	170	12	1970	1970	NUM
ap-624	170	13	.	.	PUNCT
ap-624	171	1	petr	petr	PROPN
ap-624	171	2	fajman	fajman	PROPN
ap-624	171	3	phone	phone	NOUN
ap-624	171	4	:	:	PUNCT
ap-624	171	5	+420	+420	PROPN
ap-624	171	6	224	224	NUM
ap-624	171	7	354	354	NUM
ap-624	171	8	473	473	NUM
ap-624	171	9	e	e	NOUN
ap-624	171	10	-	-	NOUN
ap-624	171	11	mail	mail	NOUN
ap-624	171	12	:	:	PUNCT
ap-624	171	13	fajman@fsv.cvut.cz	fajman@fsv.cvut.cz	NOUN
ap-624	171	14	department	department	NOUN
ap-624	171	15	of	of	ADP
ap-624	171	16	structural	structural	ADJ
ap-624	171	17	mechanics	mechanic	NOUN
ap-624	171	18	czech	czech	PROPN
ap-624	171	19	technical	technical	PROPN
ap-624	171	20	university	university	PROPN
ap-624	171	21	faculty	faculty	NOUN
ap-624	171	22	of	of	ADP
ap-624	171	23	civil	civil	ADJ
ap-624	171	24	engineering	engineering	NOUN
ap-624	171	25	thákurova	thákurova	VERB
ap-624	171	26	7	7	NUM
ap-624	171	27	166	166	NUM
ap-624	171	28	29	29	NUM
ap-624	171	29	praha	praha	NOUN
ap-624	171	30	6	6	NUM
ap-624	171	31	,	,	PUNCT
ap-624	171	32	czech	czech	PROPN
ap-624	171	33	republic	republic	NOUN
ap-624	171	34	79	79	NUM
ap-624	171	35	acta	acta	PROPN
ap-624	171	36	polytechnica	polytechnica	PROPN
ap-624	171	37	vol	vol	NOUN
ap-624	171	38	.	.	PROPN
ap-624	172	1	44	44	NUM
ap-624	172	2	no	no	NOUN
ap-624	172	3	.	.	PUNCT
ap-624	173	1	5–6/2004	5–6/2004	NUM
ap-624	173	2	number	number	NOUN
ap-624	173	3	of	of	ADP
ap-624	173	4	equations	equation	NOUN
ap-624	173	5	exact	exact	VERB
ap-624	173	6	100	100	NUM
ap-624	173	7	�	�	PROPN
ap-624	173	8	3	3	NUM
ap-624	173	9	6	6	NUM
ap-624	173	10	3.3	3.3	NUM
ap-624	173	11	7	7	NUM
ap-624	173	12	2	2	NUM
ap-624	173	13	w	w	NOUN
ap-624	173	14	c	c	NOUN
ap-624	173	15	0.0	0.0	NUM
ap-624	173	16	15050	15050	NUM
ap-624	173	17	100	100	NUM
ap-624	173	18	present	present	ADJ
ap-624	173	19	effan	effan	NOUN
ap-624	173	20	100	100	NUM
ap-624	173	21	50	50	NUM
ap-624	173	22	87.1	87.1	NUM
ap-624	173	23	2	2	NUM
ap-624	173	24	8	8	NUM
ap-624	173	25	8	8	NUM
ap-624	173	26	69.7	69.7	NUM
ap-624	173	27	1	1	NUM
ap-624	173	28	8	8	NUM
ap-624	173	29	25.5	25.5	NUM
ap-624	173	30	1	1	NUM
ap-624	173	31	4	4	NUM
ap-624	173	32	4	4	NUM
ap-624	173	33	allman	allman	NOUN
ap-624	173	34	200	200	NUM
ap-624	173	35	250	250	NUM
ap-624	173	36	cst	cst	PROPN
ap-624	173	37	2×2	2×2	NUM
ap-624	173	38	4×2	4×2	NUM
ap-624	173	39	8×2	8×2	NUM
ap-624	173	40	16×2	16×2	NUM
ap-624	173	41	32×2mesh	32×2mesh	DET
ap-624	173	42	fig	fig	NOUN
ap-624	173	43	.	.	PUNCT
ap-624	174	1	12	12	NUM
ap-624	174	2	:	:	PUNCT
ap-624	174	3	dependence	dependence	NOUN
ap-624	174	4	of	of	ADP
ap-624	174	5	deflection	deflection	NOUN
ap-624	174	6	wc	wc	NOUN
ap-624	174	7	and	and	CCONJ
ap-624	174	8	number	number	NOUN
ap-624	174	9	of	of	ADP
ap-624	174	10	equations	equation	NOUN
ap-624	174	11	1	1	NUM
ap-624	174	12	2	2	NUM
ap-624	174	13	3	3	NUM
ap-624	174	14	x	x	SYM
ap-624	174	15	y	y	NOUN
ap-624	174	16	x2	x2	PROPN
ap-624	175	1	x1	x1	NUM
ap-624	175	2	x3	x3	ADJ
ap-624	175	3	y1	y1	NOUN
ap-624	175	4	y2	y2	NOUN
ap-624	175	5	y3	y3	NOUN
ap-624	175	6	a1	a1	NOUN
ap-624	175	7	a2	a2	PROPN
ap-624	175	8	a3	a3	NOUN
ap-624	175	9	(	(	PUNCT
ap-624	175	10	x	x	NOUN
ap-624	175	11	,	,	PUNCT
ap-624	175	12	y	y	NOUN
ap-624	175	13	)	)	PUNCT
ap-624	175	14	fig	fig	NOUN
ap-624	175	15	.	.	PUNCT
ap-624	176	1	13	13	NUM
ap-624	176	2	:	:	PUNCT
ap-624	176	3	area	area	NOUN
ap-624	176	4	coordinates	coordinate	VERB