id	sid	tid	token	lemma	pos
fumecheng-449	1	1	plane	plane	NOUN
fumecheng-449	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-449	1	3	waves	wave	NOUN
fumecheng-449	1	4	in	in	ADP
fumecheng-449	1	5	infinite	infinite	ADJ
fumecheng-449	1	6	half	half	ADJ
fumecheng-449	1	7	-	-	PUNCT
fumecheng-449	1	8	space	space	NOUN
fumecheng-449	1	9	caused	cause	VERB
fumecheng-449	1	10	facta	facta	PROPN
fumecheng-449	1	11	universitatis	universitatis	PROPN
fumecheng-449	1	12	series	series	NOUN
fumecheng-449	1	13	:	:	PUNCT
fumecheng-449	1	14	mechanical	mechanical	ADJ
fumecheng-449	1	15	engineering	engineering	NOUN
fumecheng-449	1	16	vol	vol	NOUN
fumecheng-449	1	17	.	.	PROPN
fumecheng-449	2	1	12	12	NUM
fumecheng-449	2	2	,	,	PUNCT
fumecheng-449	2	3	no	no	DET
fumecheng-449	2	4	3	3	NUM
fumecheng-449	2	5	,	,	PUNCT
fumecheng-449	2	6	2014	2014	NUM
fumecheng-449	2	7	,	,	PUNCT
fumecheng-449	2	8	pp	pp	ADV
fumecheng-449	2	9	.	.	PUNCT
fumecheng-449	3	1	289	289	NUM
fumecheng-449	3	2	303	303	NUM
fumecheng-449	3	3	modes	mode	NOUN
fumecheng-449	3	4	of	of	ADP
fumecheng-449	3	5	vibration	vibration	NOUN
fumecheng-449	3	6	of	of	ADP
fumecheng-449	3	7	the	the	DET
fumecheng-449	3	8	beams	beam	NOUN
fumecheng-449	3	9	under	under	ADP
fumecheng-449	3	10	the	the	DET
fumecheng-449	3	11	influence	influence	NOUN
fumecheng-449	3	12	of	of	ADP
fumecheng-449	3	13	discontinuity	discontinuity	NOUN
fumecheng-449	3	14	in	in	ADP
fumecheng-449	3	15	foundation	foundation	NOUN
fumecheng-449	3	16	udc	udc	NOUN
fumecheng-449	3	17	519.6	519.6	NUM
fumecheng-449	3	18	+	+	SYM
fumecheng-449	3	19	531	531	NUM
fumecheng-449	3	20	vladimir	vladimir	NOUN
fumecheng-449	3	21	stojanović	stojanović	NOUN
fumecheng-449	3	22	1	1	NUM
fumecheng-449	3	23	,	,	PUNCT
fumecheng-449	3	24	pedro	pedro	PROPN
fumecheng-449	3	25	ribeiro	ribeiro	PROPN
fumecheng-449	3	26	2	2	NUM
fumecheng-449	3	27	1faculty	1faculty	NUM
fumecheng-449	3	28	of	of	ADP
fumecheng-449	3	29	mechanical	mechanical	ADJ
fumecheng-449	3	30	engineering	engineering	NOUN
fumecheng-449	3	31	,	,	PUNCT
fumecheng-449	3	32	university	university	NOUN
fumecheng-449	3	33	of	of	ADP
fumecheng-449	3	34	niš	niš	PROPN
fumecheng-449	3	35	,	,	PUNCT
fumecheng-449	3	36	serbia	serbia	PROPN
fumecheng-449	3	37	2	2	NUM
fumecheng-449	3	38	demec	demec	NOUN
fumecheng-449	3	39	,	,	PUNCT
fumecheng-449	3	40	faculty	faculty	NOUN
fumecheng-449	3	41	of	of	ADP
fumecheng-449	3	42	engineering	engineering	NOUN
fumecheng-449	3	43	,	,	PUNCT
fumecheng-449	3	44	university	university	NOUN
fumecheng-449	3	45	of	of	ADP
fumecheng-449	3	46	porto	porto	PROPN
fumecheng-449	3	47	,	,	PUNCT
fumecheng-449	3	48	portugal	portugal	PROPN
fumecheng-449	3	49	abstract	abstract	ADJ
fumecheng-449	3	50	vibrations	vibration	NOUN
fumecheng-449	3	51	of	of	ADP
fumecheng-449	3	52	the	the	DET
fumecheng-449	3	53	timoshenko	timoshenko	ADJ
fumecheng-449	3	54	beams	beam	NOUN
fumecheng-449	3	55	resting	rest	VERB
fumecheng-449	3	56	on	on	ADP
fumecheng-449	3	57	the	the	DET
fumecheng-449	3	58	winkler	winkler	NOUN
fumecheng-449	3	59	and	and	CCONJ
fumecheng-449	3	60	pasternak	pasternak	PROPN
fumecheng-449	3	61	elastic	elastic	ADJ
fumecheng-449	3	62	foundation	foundation	NOUN
fumecheng-449	3	63	with	with	ADP
fumecheng-449	3	64	discontinuity	discontinuity	NOUN
fumecheng-449	3	65	are	be	AUX
fumecheng-449	3	66	investigated	investigate	VERB
fumecheng-449	3	67	in	in	ADP
fumecheng-449	3	68	this	this	DET
fumecheng-449	3	69	paper	paper	NOUN
fumecheng-449	3	70	.	.	PUNCT
fumecheng-449	4	1	a	a	DET
fumecheng-449	4	2	p	p	ADJ
fumecheng-449	4	3	-	-	PUNCT
fumecheng-449	4	4	version	version	NOUN
fumecheng-449	4	5	finite	finite	NOUN
fumecheng-449	4	6	element	element	NOUN
fumecheng-449	4	7	method	method	NOUN
fumecheng-449	4	8	that	that	PRON
fumecheng-449	4	9	accounts	account	VERB
fumecheng-449	4	10	for	for	ADP
fumecheng-449	4	11	shear	shear	ADJ
fumecheng-449	4	12	deformation	deformation	NOUN
fumecheng-449	4	13	is	be	AUX
fumecheng-449	4	14	used	use	VERB
fumecheng-449	4	15	.	.	PUNCT
fumecheng-449	5	1	this	this	DET
fumecheng-449	5	2	p	p	NOUN
fumecheng-449	5	3	-	-	PUNCT
fumecheng-449	5	4	element	element	NOUN
fumecheng-449	5	5	has	have	VERB
fumecheng-449	5	6	special	special	ADJ
fumecheng-449	5	7	displacement	displacement	ADJ
fumecheng-449	5	8	shape	shape	NOUN
fumecheng-449	5	9	functions	function	NOUN
fumecheng-449	5	10	that	that	PRON
fumecheng-449	5	11	make	make	VERB
fumecheng-449	5	12	it	it	PRON
fumecheng-449	5	13	particularly	particularly	ADV
fumecheng-449	5	14	appropriate	appropriate	ADJ
fumecheng-449	5	15	for	for	ADP
fumecheng-449	5	16	dealing	deal	VERB
fumecheng-449	5	17	with	with	ADP
fumecheng-449	5	18	problems	problem	NOUN
fumecheng-449	5	19	with	with	ADP
fumecheng-449	5	20	discontinuities	discontinuity	NOUN
fumecheng-449	5	21	such	such	ADJ
fumecheng-449	5	22	as	as	ADP
fumecheng-449	5	23	those	those	PRON
fumecheng-449	5	24	introduced	introduce	VERB
fumecheng-449	5	25	in	in	ADP
fumecheng-449	5	26	the	the	DET
fumecheng-449	5	27	foundation	foundation	NOUN
fumecheng-449	5	28	.	.	PUNCT
fumecheng-449	6	1	a	a	DET
fumecheng-449	6	2	set	set	NOUN
fumecheng-449	6	3	of	of	ADP
fumecheng-449	6	4	ordinary	ordinary	ADJ
fumecheng-449	6	5	differential	differential	ADJ
fumecheng-449	6	6	equations	equation	NOUN
fumecheng-449	6	7	is	be	AUX
fumecheng-449	6	8	derived	derive	VERB
fumecheng-449	6	9	;	;	PUNCT
fumecheng-449	6	10	geometrical	geometrical	ADJ
fumecheng-449	6	11	non	non	NOUN
fumecheng-449	6	12	-	-	ADJ
fumecheng-449	6	13	linearity	linearity	NOUN
fumecheng-449	6	14	is	be	AUX
fumecheng-449	6	15	considered	consider	VERB
fumecheng-449	6	16	in	in	ADP
fumecheng-449	6	17	these	these	DET
fumecheng-449	6	18	equations	equation	NOUN
fumecheng-449	6	19	for	for	ADP
fumecheng-449	6	20	the	the	DET
fumecheng-449	6	21	sake	sake	NOUN
fumecheng-449	6	22	of	of	ADP
fumecheng-449	6	23	generality	generality	NOUN
fumecheng-449	6	24	and	and	CCONJ
fumecheng-449	6	25	for	for	ADP
fumecheng-449	6	26	future	future	ADJ
fumecheng-449	6	27	use	use	NOUN
fumecheng-449	6	28	.	.	PUNCT
fumecheng-449	7	1	natural	natural	ADJ
fumecheng-449	7	2	frequencies	frequency	NOUN
fumecheng-449	7	3	and	and	CCONJ
fumecheng-449	7	4	mode	mode	NOUN
fumecheng-449	7	5	shapes	shape	NOUN
fumecheng-449	7	6	of	of	ADP
fumecheng-449	7	7	vibration	vibration	NOUN
fumecheng-449	7	8	(	(	PUNCT
fumecheng-449	7	9	composed	compose	VERB
fumecheng-449	7	10	by	by	ADP
fumecheng-449	7	11	transverse	transverse	NOUN
fumecheng-449	7	12	displacements	displacement	NOUN
fumecheng-449	7	13	and	and	CCONJ
fumecheng-449	7	14	rotations	rotation	NOUN
fumecheng-449	7	15	of	of	ADP
fumecheng-449	7	16	cross	cross	NOUN
fumecheng-449	7	17	sections	section	NOUN
fumecheng-449	7	18	)	)	PUNCT
fumecheng-449	7	19	of	of	ADP
fumecheng-449	7	20	the	the	DET
fumecheng-449	7	21	shear	shear	NOUN
fumecheng-449	7	22	deformable	deformable	ADJ
fumecheng-449	7	23	beam	beam	NOUN
fumecheng-449	7	24	are	be	AUX
fumecheng-449	7	25	presented	present	VERB
fumecheng-449	7	26	for	for	ADP
fumecheng-449	7	27	diverse	diverse	ADJ
fumecheng-449	7	28	sizes	size	NOUN
fumecheng-449	7	29	and	and	CCONJ
fumecheng-449	7	30	location	location	NOUN
fumecheng-449	7	31	of	of	ADP
fumecheng-449	7	32	the	the	DET
fumecheng-449	7	33	discontinuity	discontinuity	NOUN
fumecheng-449	7	34	in	in	ADP
fumecheng-449	7	35	the	the	DET
fumecheng-449	7	36	foundation	foundation	NOUN
fumecheng-449	7	37	.	.	PUNCT
fumecheng-449	8	1	results	result	NOUN
fumecheng-449	8	2	of	of	ADP
fumecheng-449	8	3	the	the	DET
fumecheng-449	8	4	present	present	ADJ
fumecheng-449	8	5	approach	approach	NOUN
fumecheng-449	8	6	are	be	AUX
fumecheng-449	8	7	compared	compare	VERB
fumecheng-449	8	8	with	with	ADP
fumecheng-449	8	9	the	the	DET
fumecheng-449	8	10	ones	one	NOUN
fumecheng-449	8	11	computed	compute	VERB
fumecheng-449	8	12	via	via	ADP
fumecheng-449	8	13	established	establish	VERB
fumecheng-449	8	14	finite	finite	ADJ
fumecheng-449	8	15	element	element	NOUN
fumecheng-449	8	16	software	software	NOUN
fumecheng-449	8	17	for	for	ADP
fumecheng-449	8	18	various	various	ADJ
fumecheng-449	8	19	stiffness	stiffness	NOUN
fumecheng-449	8	20	of	of	ADP
fumecheng-449	8	21	the	the	DET
fumecheng-449	8	22	elastic	elastic	ADJ
fumecheng-449	8	23	support	support	NOUN
fumecheng-449	8	24	of	of	ADP
fumecheng-449	8	25	the	the	DET
fumecheng-449	8	26	winkler	winkler	NOUN
fumecheng-449	8	27	and	and	CCONJ
fumecheng-449	8	28	pasternak	pasternak	PROPN
fumecheng-449	8	29	type	type	NOUN
fumecheng-449	8	30	.	.	PUNCT
fumecheng-449	9	1	key	key	ADJ
fumecheng-449	9	2	words	word	NOUN
fumecheng-449	9	3	:	:	PUNCT
fumecheng-449	9	4	p	p	ADJ
fumecheng-449	9	5	-	-	PUNCT
fumecheng-449	9	6	version	version	NOUN
fumecheng-449	9	7	fem	fem	NOUN
fumecheng-449	9	8	,	,	PUNCT
fumecheng-449	9	9	mode	mode	NOUN
fumecheng-449	9	10	shape	shape	NOUN
fumecheng-449	9	11	,	,	PUNCT
fumecheng-449	9	12	natural	natural	ADJ
fumecheng-449	9	13	frequency	frequency	NOUN
fumecheng-449	9	14	,	,	PUNCT
fumecheng-449	9	15	foundation	foundation	NOUN
fumecheng-449	9	16	,	,	PUNCT
fumecheng-449	9	17	discontinuity	discontinuity	NOUN
fumecheng-449	9	18	,	,	PUNCT
fumecheng-449	9	19	vibrations	vibration	NOUN
fumecheng-449	9	20	1	1	NUM
fumecheng-449	9	21	.	.	PUNCT
fumecheng-449	10	1	introduction	introduction	NOUN
fumecheng-449	10	2	vibrations	vibration	NOUN
fumecheng-449	10	3	of	of	ADP
fumecheng-449	10	4	the	the	DET
fumecheng-449	10	5	beams	beam	NOUN
fumecheng-449	10	6	on	on	ADP
fumecheng-449	10	7	elastic	elastic	ADJ
fumecheng-449	10	8	foundations	foundation	NOUN
fumecheng-449	10	9	are	be	AUX
fumecheng-449	10	10	of	of	ADP
fumecheng-449	10	11	a	a	DET
fumecheng-449	10	12	wide	wide	ADJ
fumecheng-449	10	13	practical	practical	ADJ
fumecheng-449	10	14	interest	interest	NOUN
fumecheng-449	10	15	involving	involve	VERB
fumecheng-449	10	16	applications	application	NOUN
fumecheng-449	10	17	such	such	ADJ
fumecheng-449	10	18	as	as	ADP
fumecheng-449	10	19	analyses	analysis	NOUN
fumecheng-449	10	20	of	of	ADP
fumecheng-449	10	21	roads	road	NOUN
fumecheng-449	10	22	,	,	PUNCT
fumecheng-449	10	23	rail	rail	NOUN
fumecheng-449	10	24	tracks	track	NOUN
fumecheng-449	10	25	and	and	CCONJ
fumecheng-449	10	26	foundations	foundation	NOUN
fumecheng-449	10	27	of	of	ADP
fumecheng-449	10	28	diverse	diverse	ADJ
fumecheng-449	10	29	structures	structure	NOUN
fumecheng-449	10	30	.	.	PUNCT
fumecheng-449	11	1	there	there	PRON
fumecheng-449	11	2	have	have	AUX
fumecheng-449	11	3	been	be	AUX
fumecheng-449	11	4	a	a	DET
fumecheng-449	11	5	large	large	ADJ
fumecheng-449	11	6	number	number	NOUN
fumecheng-449	11	7	of	of	ADP
fumecheng-449	11	8	publications	publication	NOUN
fumecheng-449	11	9	related	relate	VERB
fumecheng-449	11	10	to	to	ADP
fumecheng-449	11	11	this	this	DET
fumecheng-449	11	12	problem	problem	NOUN
fumecheng-449	11	13	considering	consider	VERB
fumecheng-449	11	14	different	different	ADJ
fumecheng-449	11	15	types	type	NOUN
fumecheng-449	11	16	of	of	ADP
fumecheng-449	11	17	foundation	foundation	NOUN
fumecheng-449	11	18	such	such	ADJ
fumecheng-449	11	19	as	as	ADP
fumecheng-449	11	20	winkler	winkler	NOUN
fumecheng-449	11	21	,	,	PUNCT
fumecheng-449	11	22	pasternak	pasternak	NOUN
fumecheng-449	11	23	,	,	PUNCT
fumecheng-449	11	24	elastic	elastic	ADJ
fumecheng-449	11	25	or	or	CCONJ
fumecheng-449	11	26	viscoelastic	viscoelastic	ADJ
fumecheng-449	11	27	,	,	PUNCT
fumecheng-449	11	28	linear	linear	ADJ
fumecheng-449	11	29	or	or	CCONJ
fumecheng-449	11	30	non	non	ADJ
fumecheng-449	11	31	-	-	ADJ
fumecheng-449	11	32	linear	linear	ADJ
fumecheng-449	11	33	(	(	PUNCT
fumecheng-449	11	34	refs	ref	NOUN
fumecheng-449	11	35	.	.	PUNCT
fumecheng-449	12	1	[	[	X
fumecheng-449	12	2	1	1	NUM
fumecheng-449	12	3	-	-	SYM
fumecheng-449	12	4	10	10	NUM
fumecheng-449	12	5	]	]	PUNCT
fumecheng-449	12	6	)	)	PUNCT
fumecheng-449	12	7	.	.	PUNCT
fumecheng-449	13	1	for	for	ADP
fumecheng-449	13	2	example	example	NOUN
fumecheng-449	13	3	,	,	PUNCT
fumecheng-449	13	4	mamandi	mamandi	PROPN
fumecheng-449	13	5	et	et	PROPN
fumecheng-449	13	6	al	al	PROPN
fumecheng-449	13	7	.	.	PUNCT
fumecheng-449	14	1	[	[	X
fumecheng-449	14	2	4	4	X
fumecheng-449	14	3	]	]	PUNCT
fumecheng-449	14	4	have	have	AUX
fumecheng-449	14	5	studied	study	VERB
fumecheng-449	14	6	nonlinear	nonlinear	ADJ
fumecheng-449	14	7	effects	effect	NOUN
fumecheng-449	14	8	of	of	ADP
fumecheng-449	14	9	the	the	DET
fumecheng-449	14	10	elastic	elastic	ADJ
fumecheng-449	14	11	foundation	foundation	NOUN
fumecheng-449	14	12	in	in	ADP
fumecheng-449	14	13	frequency	frequency	NOUN
fumecheng-449	14	14	domain	domain	NOUN
fumecheng-449	14	15	.	.	PUNCT
fumecheng-449	15	1	investigations	investigation	NOUN
fumecheng-449	15	2	in	in	ADP
fumecheng-449	15	3	the	the	DET
fumecheng-449	15	4	nonlinear	nonlinear	ADJ
fumecheng-449	15	5	regime	regime	NOUN
fumecheng-449	15	6	,	,	PUNCT
fumecheng-449	15	7	with	with	SCONJ
fumecheng-449	15	8	the	the	DET
fumecheng-449	15	9	beam	beam	NOUN
fumecheng-449	15	10	actuated	actuate	VERB
fumecheng-449	15	11	by	by	ADP
fumecheng-449	15	12	moving	move	VERB
fumecheng-449	15	13	loads	load	NOUN
fumecheng-449	15	14	are	be	AUX
fumecheng-449	15	15	carried	carry	VERB
fumecheng-449	15	16	out	out	ADP
fumecheng-449	15	17	in	in	ADP
fumecheng-449	15	18	[	[	X
fumecheng-449	15	19	5	5	NUM
fumecheng-449	15	20	]	]	PUNCT
fumecheng-449	15	21	.	.	PUNCT
fumecheng-449	16	1	kim	kim	PROPN
fumecheng-449	16	2	and	and	CCONJ
fumecheng-449	16	3	cho	cho	PROPN
fumecheng-449	17	1	[	[	X
fumecheng-449	17	2	6	6	NUM
fumecheng-449	17	3	]	]	PUNCT
fumecheng-449	17	4	explore	explore	VERB
fumecheng-449	17	5	the	the	DET
fumecheng-449	17	6	vibration	vibration	NOUN
fumecheng-449	17	7	of	of	ADP
fumecheng-449	17	8	a	a	DET
fumecheng-449	17	9	shear	shear	NOUN
fumecheng-449	17	10	beam	beam	NOUN
fumecheng-449	17	11	-	-	PUNCT
fumecheng-449	17	12	column	column	NOUN
fumecheng-449	17	13	,	,	PUNCT
fumecheng-449	17	14	resting	rest	VERB
fumecheng-449	17	15	on	on	ADP
fumecheng-449	17	16	an	an	DET
fumecheng-449	17	17	elastic	elastic	ADJ
fumecheng-449	17	18	foundation	foundation	NOUN
fumecheng-449	17	19	when	when	SCONJ
fumecheng-449	17	20	the	the	DET
fumecheng-449	17	21	system	system	NOUN
fumecheng-449	17	22	is	be	AUX
fumecheng-449	17	23	subjected	subject	VERB
fumecheng-449	17	24	to	to	ADP
fumecheng-449	17	25	moving	move	VERB
fumecheng-449	17	26	loads	load	NOUN
fumecheng-449	17	27	of	of	ADP
fumecheng-449	17	28	either	either	CCONJ
fumecheng-449	17	29	constant	constant	ADJ
fumecheng-449	17	30	amplitude	amplitude	NOUN
fumecheng-449	17	31	or	or	CCONJ
fumecheng-449	17	32	harmonic	harmonic	ADJ
fumecheng-449	17	33	amplitude	amplitude	NOUN
fumecheng-449	17	34	variation	variation	NOUN
fumecheng-449	17	35	.	.	PUNCT
fumecheng-449	18	1	received	receive	VERB
fumecheng-449	18	2	september	september	PROPN
fumecheng-449	18	3	8	8	NUM
fumecheng-449	18	4	,	,	PUNCT
fumecheng-449	18	5	2014	2014	NUM
fumecheng-449	18	6	/	/	SYM
fumecheng-449	18	7	accepted	accept	VERB
fumecheng-449	18	8	october	october	PROPN
fumecheng-449	18	9	30	30	NUM
fumecheng-449	18	10	,	,	PUNCT
fumecheng-449	18	11	2014	2014	NUM
fumecheng-449	18	12	corresponding	correspond	VERB
fumecheng-449	18	13	author	author	NOUN
fumecheng-449	18	14	:	:	PUNCT
fumecheng-449	18	15	vladimir	vladimir	PROPN
fumecheng-449	18	16	stojanović	stojanović	PROPN
fumecheng-449	18	17	faculty	faculty	NOUN
fumecheng-449	18	18	of	of	ADP
fumecheng-449	18	19	mechanical	mechanical	ADJ
fumecheng-449	18	20	engineering	engineering	NOUN
fumecheng-449	18	21	,	,	PUNCT
fumecheng-449	18	22	department	department	NOUN
fumecheng-449	18	23	of	of	ADP
fumecheng-449	18	24	mechanics	mechanic	NOUN
fumecheng-449	18	25	,	,	PUNCT
fumecheng-449	18	26	a.	a.	PROPN
fumecheng-449	18	27	medvedeva	medvedeva	PROPN
fumecheng-449	18	28	14	14	NUM
fumecheng-449	18	29	,	,	PUNCT
fumecheng-449	18	30	18000	18000	NUM
fumecheng-449	18	31	niš	niš	NOUN
fumecheng-449	18	32	,	,	PUNCT
fumecheng-449	18	33	serbia	serbia	PROPN
fumecheng-449	18	34	e	e	NOUN
fumecheng-449	18	35	-	-	NOUN
fumecheng-449	18	36	mail	mail	NOUN
fumecheng-449	18	37	:	:	PUNCT
fumecheng-449	18	38	stojanovic.s.vladimir@gmail.com	stojanovic.s.vladimir@gmail.com	PROPN
fumecheng-449	18	39	original	original	ADJ
fumecheng-449	18	40	scientific	scientific	ADJ
fumecheng-449	18	41	paper	paper	NOUN
fumecheng-449	18	42	290	290	NUM
fumecheng-449	18	43	v.	v.	ADP
fumecheng-449	18	44	stojanović	stojanović	PROPN
fumecheng-449	18	45	,	,	PUNCT
fumecheng-449	18	46	p.	p.	PROPN
fumecheng-449	18	47	ribeiro	ribeiro	PROPN
fumecheng-449	18	48	in	in	ADP
fumecheng-449	18	49	either	either	DET
fumecheng-449	18	50	case	case	NOUN
fumecheng-449	18	51	,	,	PUNCT
fumecheng-449	18	52	the	the	DET
fumecheng-449	18	53	load	load	NOUN
fumecheng-449	18	54	moves	move	VERB
fumecheng-449	18	55	with	with	ADP
fumecheng-449	18	56	a	a	DET
fumecheng-449	18	57	constant	constant	ADJ
fumecheng-449	18	58	advance	advance	NOUN
fumecheng-449	18	59	velocity	velocity	NOUN
fumecheng-449	18	60	;	;	PUNCT
fumecheng-449	18	61	a	a	DET
fumecheng-449	18	62	good	good	ADJ
fumecheng-449	18	63	insight	insight	NOUN
fumecheng-449	18	64	of	of	ADP
fumecheng-449	18	65	the	the	DET
fumecheng-449	18	66	linear	linear	ADJ
fumecheng-449	18	67	dynamical	dynamical	ADJ
fumecheng-449	18	68	behavior	behavior	NOUN
fumecheng-449	18	69	of	of	ADP
fumecheng-449	18	70	the	the	DET
fumecheng-449	18	71	beam	beam	NOUN
fumecheng-449	18	72	on	on	ADP
fumecheng-449	18	73	elastic	elastic	ADJ
fumecheng-449	18	74	foundations	foundation	NOUN
fumecheng-449	18	75	is	be	AUX
fumecheng-449	18	76	given	give	VERB
fumecheng-449	18	77	.	.	PUNCT
fumecheng-449	19	1	a	a	DET
fumecheng-449	19	2	more	more	ADV
fumecheng-449	19	3	complex	complex	ADJ
fumecheng-449	19	4	linear	linear	ADJ
fumecheng-449	19	5	model	model	NOUN
fumecheng-449	19	6	[	[	X
fumecheng-449	19	7	7	7	X
fumecheng-449	19	8	]	]	X
fumecheng-449	19	9	is	be	AUX
fumecheng-449	19	10	also	also	ADV
fumecheng-449	19	11	of	of	ADP
fumecheng-449	19	12	great	great	ADJ
fumecheng-449	19	13	interest	interest	NOUN
fumecheng-449	19	14	for	for	ADP
fumecheng-449	19	15	understanding	understand	VERB
fumecheng-449	19	16	the	the	DET
fumecheng-449	19	17	problems	problem	NOUN
fumecheng-449	19	18	of	of	ADP
fumecheng-449	19	19	response	response	NOUN
fumecheng-449	19	20	of	of	ADP
fumecheng-449	19	21	the	the	DET
fumecheng-449	19	22	beams	beam	NOUN
fumecheng-449	19	23	resting	rest	VERB
fumecheng-449	19	24	on	on	ADP
fumecheng-449	19	25	visco	visco	ADJ
fumecheng-449	19	26	-	-	PUNCT
fumecheng-449	19	27	elastically	elastically	ADV
fumecheng-449	19	28	damped	damped	ADJ
fumecheng-449	19	29	foundation	foundation	NOUN
fumecheng-449	19	30	under	under	ADP
fumecheng-449	19	31	moving	move	VERB
fumecheng-449	19	32	sdof	sdof	ADJ
fumecheng-449	19	33	oscillators	oscillator	NOUN
fumecheng-449	19	34	with	with	ADP
fumecheng-449	19	35	a	a	DET
fumecheng-449	19	36	number	number	NOUN
fumecheng-449	19	37	of	of	ADP
fumecheng-449	19	38	internal	internal	ADJ
fumecheng-449	19	39	variables	variable	NOUN
fumecheng-449	19	40	introduced	introduce	VERB
fumecheng-449	19	41	and	and	CCONJ
fumecheng-449	19	42	with	with	ADP
fumecheng-449	19	43	the	the	DET
fumecheng-449	19	44	aim	aim	NOUN
fumecheng-449	19	45	of	of	ADP
fumecheng-449	19	46	representing	represent	VERB
fumecheng-449	19	47	the	the	DET
fumecheng-449	19	48	frequency	frequency	NOUN
fumecheng-449	19	49	-	-	PUNCT
fumecheng-449	19	50	dependent	dependent	ADJ
fumecheng-449	19	51	behavior	behavior	NOUN
fumecheng-449	19	52	of	of	ADP
fumecheng-449	19	53	the	the	DET
fumecheng-449	19	54	viscoelastic	viscoelastic	PROPN
fumecheng-449	19	55	foundation	foundation	PROPN
fumecheng-449	19	56	.	.	PUNCT
fumecheng-449	20	1	with	with	ADP
fumecheng-449	20	2	larger	large	ADJ
fumecheng-449	20	3	beam	beam	NOUN
fumecheng-449	20	4	deflections	deflection	NOUN
fumecheng-449	20	5	,	,	PUNCT
fumecheng-449	20	6	geometric	geometric	ADJ
fumecheng-449	20	7	nonlinearities	nonlinearitie	NOUN
fumecheng-449	20	8	lead	lead	VERB
fumecheng-449	20	9	to	to	ADP
fumecheng-449	20	10	motions	motion	NOUN
fumecheng-449	20	11	which	which	PRON
fumecheng-449	20	12	are	be	AUX
fumecheng-449	20	13	not	not	PART
fumecheng-449	20	14	predictable	predictable	ADJ
fumecheng-449	20	15	by	by	ADP
fumecheng-449	20	16	linear	linear	PROPN
fumecheng-449	20	17	formulations	formulation	NOUN
fumecheng-449	20	18	.	.	PUNCT
fumecheng-449	21	1	chang	chang	PROPN
fumecheng-449	21	2	and	and	CCONJ
fumecheng-449	21	3	liu	liu	PROPN
fumecheng-449	22	1	[	[	X
fumecheng-449	22	2	8	8	NUM
fumecheng-449	22	3	]	]	PUNCT
fumecheng-449	22	4	have	have	AUX
fumecheng-449	22	5	investigated	investigate	VERB
fumecheng-449	22	6	deterministic	deterministic	ADJ
fumecheng-449	22	7	and	and	CCONJ
fumecheng-449	22	8	random	random	ADJ
fumecheng-449	22	9	vibrations	vibration	NOUN
fumecheng-449	22	10	of	of	ADP
fumecheng-449	22	11	a	a	DET
fumecheng-449	22	12	nonlinear	nonlinear	ADJ
fumecheng-449	22	13	beam	beam	NOUN
fumecheng-449	22	14	on	on	ADP
fumecheng-449	22	15	an	an	DET
fumecheng-449	22	16	elastic	elastic	ADJ
fumecheng-449	22	17	foundation	foundation	NOUN
fumecheng-449	22	18	,	,	PUNCT
fumecheng-449	22	19	subjected	subject	VERB
fumecheng-449	22	20	to	to	ADP
fumecheng-449	22	21	a	a	DET
fumecheng-449	22	22	moving	move	VERB
fumecheng-449	22	23	load	load	NOUN
fumecheng-449	22	24	.	.	PUNCT
fumecheng-449	23	1	the	the	DET
fumecheng-449	23	2	nonlinear	nonlinear	ADJ
fumecheng-449	23	3	system	system	NOUN
fumecheng-449	23	4	of	of	ADP
fumecheng-449	23	5	differential	differential	ADJ
fumecheng-449	23	6	equations	equation	NOUN
fumecheng-449	23	7	is	be	AUX
fumecheng-449	23	8	solved	solve	VERB
fumecheng-449	23	9	by	by	ADP
fumecheng-449	23	10	an	an	DET
fumecheng-449	23	11	implicit	implicit	ADJ
fumecheng-449	23	12	direct	direct	ADJ
fumecheng-449	23	13	integration	integration	NOUN
fumecheng-449	23	14	method	method	NOUN
fumecheng-449	23	15	.	.	PUNCT
fumecheng-449	24	1	rotary	rotary	NOUN
fumecheng-449	24	2	inertia	inertia	NOUN
fumecheng-449	24	3	and	and	CCONJ
fumecheng-449	24	4	shear	shear	ADJ
fumecheng-449	24	5	deformation	deformation	NOUN
fumecheng-449	24	6	are	be	AUX
fumecheng-449	24	7	neglected	neglect	VERB
fumecheng-449	24	8	,	,	PUNCT
fumecheng-449	24	9	while	while	SCONJ
fumecheng-449	24	10	the	the	DET
fumecheng-449	24	11	effects	effect	NOUN
fumecheng-449	24	12	of	of	ADP
fumecheng-449	24	13	longitudinal	longitudinal	ADJ
fumecheng-449	24	14	deflections	deflection	NOUN
fumecheng-449	24	15	and	and	CCONJ
fumecheng-449	24	16	inertia	inertia	NOUN
fumecheng-449	24	17	are	be	AUX
fumecheng-449	24	18	considered	consider	VERB
fumecheng-449	24	19	,	,	PUNCT
fumecheng-449	24	20	based	base	VERB
fumecheng-449	24	21	on	on	ADP
fumecheng-449	24	22	the	the	DET
fumecheng-449	24	23	bernoulli	bernoulli	PROPN
fumecheng-449	24	24	–	–	PUNCT
fumecheng-449	24	25	euler	euler	NOUN
fumecheng-449	24	26	hypothesis	hypothesis	NOUN
fumecheng-449	24	27	.	.	PUNCT
fumecheng-449	25	1	sapountzakis	sapountzaki	NOUN
fumecheng-449	25	2	and	and	CCONJ
fumecheng-449	25	3	kampitsis	kampitsis	NOUN
fumecheng-449	25	4	[	[	X
fumecheng-449	25	5	3	3	X
fumecheng-449	25	6	]	]	PUNCT
fumecheng-449	25	7	have	have	AUX
fumecheng-449	25	8	developed	develop	VERB
fumecheng-449	25	9	a	a	DET
fumecheng-449	25	10	boundary	boundary	ADJ
fumecheng-449	25	11	element	element	NOUN
fumecheng-449	25	12	method	method	NOUN
fumecheng-449	25	13	(	(	PUNCT
fumecheng-449	25	14	bem	bem	PROPN
fumecheng-449	25	15	)	)	PUNCT
fumecheng-449	25	16	for	for	ADP
fumecheng-449	25	17	the	the	DET
fumecheng-449	25	18	geometrically	geometrically	ADV
fumecheng-449	25	19	nonlinear	nonlinear	ADJ
fumecheng-449	25	20	response	response	NOUN
fumecheng-449	25	21	of	of	ADP
fumecheng-449	25	22	shear	shear	ADJ
fumecheng-449	25	23	deformable	deformable	ADJ
fumecheng-449	25	24	beams	beam	NOUN
fumecheng-449	25	25	traversed	traverse	VERB
fumecheng-449	25	26	by	by	ADP
fumecheng-449	25	27	moving	move	VERB
fumecheng-449	25	28	loads	load	NOUN
fumecheng-449	25	29	,	,	PUNCT
fumecheng-449	25	30	resting	rest	VERB
fumecheng-449	25	31	on	on	ADP
fumecheng-449	25	32	tensionless	tensionless	PROPN
fumecheng-449	25	33	nonlinear	nonlinear	ADJ
fumecheng-449	25	34	three	three	NUM
fumecheng-449	25	35	-	-	PUNCT
fumecheng-449	25	36	parameter	parameter	NOUN
fumecheng-449	25	37	viscoelastic	viscoelastic	PROPN
fumecheng-449	25	38	foundation	foundation	PROPN
fumecheng-449	25	39	;	;	PUNCT
fumecheng-449	25	40	they	they	PRON
fumecheng-449	25	41	have	have	AUX
fumecheng-449	25	42	shown	show	VERB
fumecheng-449	25	43	that	that	SCONJ
fumecheng-449	25	44	the	the	DET
fumecheng-449	25	45	bem	bem	PROPN
fumecheng-449	25	46	may	may	AUX
fumecheng-449	25	47	be	be	AUX
fumecheng-449	25	48	advantageous	advantageous	ADJ
fumecheng-449	25	49	for	for	ADP
fumecheng-449	25	50	exploring	explore	VERB
fumecheng-449	25	51	nonlinear	nonlinear	ADJ
fumecheng-449	25	52	effects	effect	NOUN
fumecheng-449	25	53	on	on	ADP
fumecheng-449	25	54	this	this	DET
fumecheng-449	25	55	kind	kind	NOUN
fumecheng-449	25	56	of	of	ADP
fumecheng-449	25	57	problems	problem	NOUN
fumecheng-449	25	58	.	.	PUNCT
fumecheng-449	26	1	nonlinear	nonlinear	PROPN
fumecheng-449	26	2	foundation	foundation	PROPN
fumecheng-449	26	3	effects	effect	NOUN
fumecheng-449	26	4	are	be	AUX
fumecheng-449	26	5	also	also	ADV
fumecheng-449	26	6	investigated	investigate	VERB
fumecheng-449	26	7	in	in	ADP
fumecheng-449	26	8	a	a	DET
fumecheng-449	26	9	different	different	ADJ
fumecheng-449	26	10	type	type	NOUN
fumecheng-449	26	11	of	of	ADP
fumecheng-449	26	12	structures	structure	NOUN
fumecheng-449	26	13	.	.	PUNCT
fumecheng-449	27	1	malekzadeh	malekzadeh	PROPN
fumecheng-449	27	2	and	and	CCONJ
fumecheng-449	27	3	vosoughi	vosoughi	PROPN
fumecheng-449	28	1	[	[	X
fumecheng-449	28	2	9	9	NUM
fumecheng-449	28	3	]	]	PUNCT
fumecheng-449	28	4	have	have	AUX
fumecheng-449	28	5	investigated	investigate	VERB
fumecheng-449	28	6	problems	problem	NOUN
fumecheng-449	28	7	of	of	ADP
fumecheng-449	28	8	composite	composite	ADJ
fumecheng-449	28	9	thin	thin	ADJ
fumecheng-449	28	10	beams	beam	NOUN
fumecheng-449	28	11	using	use	VERB
fumecheng-449	28	12	an	an	DET
fumecheng-449	28	13	efficient	efficient	ADJ
fumecheng-449	28	14	and	and	CCONJ
fumecheng-449	28	15	accurate	accurate	ADJ
fumecheng-449	28	16	differential	differential	ADJ
fumecheng-449	28	17	quadrature	quadrature	NOUN
fumecheng-449	28	18	(	(	PUNCT
fumecheng-449	28	19	dq	dq	NOUN
fumecheng-449	28	20	)	)	PUNCT
fumecheng-449	28	21	method	method	NOUN
fumecheng-449	28	22	for	for	ADP
fumecheng-449	28	23	a	a	DET
fumecheng-449	28	24	large	large	ADJ
fumecheng-449	28	25	amplitude	amplitude	NOUN
fumecheng-449	28	26	free	free	ADJ
fumecheng-449	28	27	vibration	vibration	NOUN
fumecheng-449	28	28	analysis	analysis	NOUN
fumecheng-449	28	29	.	.	PUNCT
fumecheng-449	29	1	demeio	demeio	NOUN
fumecheng-449	29	2	and	and	CCONJ
fumecheng-449	29	3	lenci	lenci	NOUN
fumecheng-449	30	1	[	[	X
fumecheng-449	30	2	10	10	NUM
fumecheng-449	30	3	]	]	PUNCT
fumecheng-449	30	4	have	have	AUX
fumecheng-449	30	5	used	use	VERB
fumecheng-449	30	6	the	the	DET
fumecheng-449	30	7	multiple	multiple	ADJ
fumecheng-449	30	8	time	time	NOUN
fumecheng-449	30	9	scales	scale	NOUN
fumecheng-449	30	10	(	(	PUNCT
fumecheng-449	30	11	mts	mts	NOUN
fumecheng-449	30	12	)	)	PUNCT
fumecheng-449	30	13	method	method	NOUN
fumecheng-449	30	14	to	to	PART
fumecheng-449	30	15	study	study	VERB
fumecheng-449	30	16	nonlinear	nonlinear	ADJ
fumecheng-449	30	17	resonances	resonance	NOUN
fumecheng-449	30	18	of	of	ADP
fumecheng-449	30	19	a	a	DET
fumecheng-449	30	20	semi	semi	ADJ
fumecheng-449	30	21	-	-	ADJ
fumecheng-449	30	22	infinite	infinite	ADJ
fumecheng-449	30	23	cable	cable	NOUN
fumecheng-449	30	24	resting	rest	VERB
fumecheng-449	30	25	on	on	ADP
fumecheng-449	30	26	a	a	DET
fumecheng-449	30	27	nonlinear	nonlinear	ADJ
fumecheng-449	30	28	elastic	elastic	ADJ
fumecheng-449	30	29	foundation	foundation	NOUN
fumecheng-449	30	30	.	.	PUNCT
fumecheng-449	31	1	the	the	DET
fumecheng-449	31	2	finite	finite	ADJ
fumecheng-449	31	3	-	-	ADJ
fumecheng-449	31	4	element	element	ADJ
fumecheng-449	31	5	method	method	NOUN
fumecheng-449	31	6	(	(	PUNCT
fumecheng-449	31	7	fem	fem	NOUN
fumecheng-449	31	8	)	)	PUNCT
fumecheng-449	31	9	is	be	AUX
fumecheng-449	31	10	based	base	VERB
fumecheng-449	31	11	on	on	ADP
fumecheng-449	31	12	approximating	approximate	VERB
fumecheng-449	31	13	the	the	DET
fumecheng-449	31	14	solution	solution	NOUN
fumecheng-449	31	15	of	of	ADP
fumecheng-449	31	16	a	a	DET
fumecheng-449	31	17	problem	problem	NOUN
fumecheng-449	31	18	by	by	ADP
fumecheng-449	31	19	means	mean	NOUN
fumecheng-449	31	20	of	of	ADP
fumecheng-449	31	21	admissible	admissible	ADJ
fumecheng-449	31	22	functions	function	NOUN
fumecheng-449	31	23	.	.	PUNCT
fumecheng-449	32	1	in	in	ADP
fumecheng-449	32	2	the	the	DET
fumecheng-449	32	3	p	p	NOUN
fumecheng-449	32	4	-	-	PUNCT
fumecheng-449	32	5	version	version	NOUN
fumecheng-449	32	6	of	of	ADP
fumecheng-449	32	7	the	the	DET
fumecheng-449	32	8	fem	fem	NOUN
fumecheng-449	32	9	,	,	PUNCT
fumecheng-449	32	10	accuracy	accuracy	NOUN
fumecheng-449	32	11	is	be	AUX
fumecheng-449	32	12	improved	improve	VERB
fumecheng-449	32	13	by	by	ADP
fumecheng-449	32	14	increasing	increase	VERB
fumecheng-449	32	15	the	the	DET
fumecheng-449	32	16	number	number	NOUN
fumecheng-449	32	17	of	of	ADP
fumecheng-449	32	18	shape	shape	NOUN
fumecheng-449	32	19	functions	function	NOUN
fumecheng-449	32	20	over	over	ADP
fumecheng-449	32	21	the	the	DET
fumecheng-449	32	22	elements	element	NOUN
fumecheng-449	32	23	,	,	PUNCT
fumecheng-449	32	24	without	without	ADP
fumecheng-449	32	25	introducing	introduce	VERB
fumecheng-449	32	26	more	more	ADJ
fumecheng-449	32	27	elements	element	NOUN
fumecheng-449	32	28	in	in	ADP
fumecheng-449	32	29	the	the	DET
fumecheng-449	32	30	mesh	mesh	NOUN
fumecheng-449	32	31	;	;	PUNCT
fumecheng-449	32	32	it	it	PRON
fumecheng-449	32	33	has	have	AUX
fumecheng-449	32	34	been	be	AUX
fumecheng-449	32	35	often	often	ADV
fumecheng-449	32	36	found	find	VERB
fumecheng-449	32	37	that	that	SCONJ
fumecheng-449	32	38	the	the	DET
fumecheng-449	32	39	p	p	ADJ
fumecheng-449	32	40	-	-	PUNCT
fumecheng-449	32	41	version	version	NOUN
fumecheng-449	32	42	fem	fem	NOUN
fumecheng-449	32	43	is	be	AUX
fumecheng-449	32	44	an	an	DET
fumecheng-449	32	45	efficient	efficient	ADJ
fumecheng-449	32	46	approach	approach	NOUN
fumecheng-449	32	47	to	to	ADP
fumecheng-449	32	48	the	the	DET
fumecheng-449	32	49	study	study	NOUN
fumecheng-449	32	50	of	of	ADP
fumecheng-449	32	51	mechanical	mechanical	ADJ
fumecheng-449	32	52	systems	system	NOUN
fumecheng-449	32	53	vibrations	vibration	NOUN
fumecheng-449	33	1	[	[	X
fumecheng-449	33	2	11	11	NUM
fumecheng-449	33	3	-	-	SYM
fumecheng-449	33	4	21	21	NUM
fumecheng-449	33	5	]	]	PUNCT
fumecheng-449	33	6	.	.	PUNCT
fumecheng-449	34	1	recently	recently	ADV
fumecheng-449	34	2	,	,	PUNCT
fumecheng-449	34	3	new	new	ADJ
fumecheng-449	34	4	shape	shape	NOUN
fumecheng-449	34	5	functions	function	NOUN
fumecheng-449	34	6	have	have	AUX
fumecheng-449	34	7	been	be	AUX
fumecheng-449	34	8	proposed	propose	VERB
fumecheng-449	34	9	to	to	PART
fumecheng-449	34	10	be	be	AUX
fumecheng-449	34	11	used	use	VERB
fumecheng-449	34	12	when	when	SCONJ
fumecheng-449	34	13	the	the	DET
fumecheng-449	34	14	p	p	ADJ
fumecheng-449	34	15	-	-	PUNCT
fumecheng-449	34	16	version	version	NOUN
fumecheng-449	34	17	finite	finite	NOUN
fumecheng-449	34	18	element	element	NOUN
fumecheng-449	34	19	method	method	NOUN
fumecheng-449	34	20	is	be	AUX
fumecheng-449	34	21	applied	apply	VERB
fumecheng-449	34	22	to	to	ADP
fumecheng-449	34	23	problems	problem	NOUN
fumecheng-449	34	24	with	with	ADP
fumecheng-449	34	25	steep	steep	ADJ
fumecheng-449	34	26	changes	change	NOUN
fumecheng-449	34	27	in	in	ADP
fumecheng-449	34	28	the	the	DET
fumecheng-449	34	29	domain	domain	NOUN
fumecheng-449	34	30	[	[	X
fumecheng-449	34	31	22	22	NUM
fumecheng-449	34	32	]	]	PUNCT
fumecheng-449	34	33	.	.	PUNCT
fumecheng-449	35	1	in	in	ADP
fumecheng-449	35	2	the	the	DET
fumecheng-449	35	3	later	later	ADJ
fumecheng-449	35	4	work	work	NOUN
fumecheng-449	35	5	,	,	PUNCT
fumecheng-449	35	6	shear	shear	VERB
fumecheng-449	35	7	deformable	deformable	ADJ
fumecheng-449	35	8	beams	beam	NOUN
fumecheng-449	35	9	with	with	ADP
fumecheng-449	35	10	discontinuity	discontinuity	NOUN
fumecheng-449	35	11	in	in	ADP
fumecheng-449	35	12	the	the	DET
fumecheng-449	35	13	cross	cross	NOUN
fumecheng-449	35	14	section	section	NOUN
fumecheng-449	35	15	,	,	PUNCT
fumecheng-449	35	16	due	due	ADP
fumecheng-449	35	17	to	to	ADP
fumecheng-449	35	18	a	a	DET
fumecheng-449	35	19	notch	notch	NOUN
fumecheng-449	35	20	,	,	PUNCT
fumecheng-449	35	21	are	be	AUX
fumecheng-449	35	22	analyzed	analyze	VERB
fumecheng-449	35	23	.	.	PUNCT
fumecheng-449	36	1	the	the	DET
fumecheng-449	36	2	two	two	NUM
fumecheng-449	36	3	shape	shape	NOUN
fumecheng-449	36	4	functions	function	NOUN
fumecheng-449	36	5	for	for	ADP
fumecheng-449	36	6	p	p	NOUN
fumecheng-449	36	7	-	-	PUNCT
fumecheng-449	36	8	version	version	NOUN
fumecheng-449	36	9	beam	beam	NOUN
fumecheng-449	36	10	elements	element	NOUN
fumecheng-449	36	11	lead	lead	VERB
fumecheng-449	36	12	to	to	ADP
fumecheng-449	36	13	a	a	DET
fumecheng-449	36	14	significant	significant	ADJ
fumecheng-449	36	15	improvement	improvement	NOUN
fumecheng-449	36	16	of	of	ADP
fumecheng-449	36	17	the	the	DET
fumecheng-449	36	18	efficiency	efficiency	NOUN
fumecheng-449	36	19	of	of	ADP
fumecheng-449	36	20	the	the	DET
fumecheng-449	36	21	p	p	NOUN
fumecheng-449	36	22	-	-	PUNCT
fumecheng-449	36	23	version	version	NOUN
fumecheng-449	36	24	fem	fem	NOUN
fumecheng-449	36	25	in	in	ADP
fumecheng-449	36	26	the	the	DET
fumecheng-449	36	27	presence	presence	NOUN
fumecheng-449	36	28	of	of	ADP
fumecheng-449	36	29	notches	notch	NOUN
fumecheng-449	36	30	.	.	PUNCT
fumecheng-449	37	1	this	this	DET
fumecheng-449	37	2	work	work	NOUN
fumecheng-449	37	3	explores	explore	VERB
fumecheng-449	37	4	the	the	DET
fumecheng-449	37	5	influence	influence	NOUN
fumecheng-449	37	6	of	of	ADP
fumecheng-449	37	7	discontinuity	discontinuity	NOUN
fumecheng-449	37	8	of	of	ADP
fumecheng-449	37	9	foundations	foundation	NOUN
fumecheng-449	37	10	on	on	ADP
fumecheng-449	37	11	the	the	DET
fumecheng-449	37	12	natural	natural	ADJ
fumecheng-449	37	13	frequencies	frequency	NOUN
fumecheng-449	37	14	and	and	CCONJ
fumecheng-449	37	15	mode	mode	NOUN
fumecheng-449	37	16	shapes	shape	NOUN
fumecheng-449	37	17	of	of	ADP
fumecheng-449	37	18	beams	beam	NOUN
fumecheng-449	37	19	,	,	PUNCT
fumecheng-449	37	20	for	for	ADP
fumecheng-449	37	21	various	various	ADJ
fumecheng-449	37	22	sizes	size	NOUN
fumecheng-449	37	23	and	and	CCONJ
fumecheng-449	37	24	locations	location	NOUN
fumecheng-449	37	25	of	of	ADP
fumecheng-449	37	26	the	the	DET
fumecheng-449	37	27	discontinuity	discontinuity	NOUN
fumecheng-449	37	28	.	.	PUNCT
fumecheng-449	38	1	in	in	ADP
fumecheng-449	38	2	the	the	DET
fumecheng-449	38	3	real	real	ADJ
fumecheng-449	38	4	world	world	NOUN
fumecheng-449	38	5	,	,	PUNCT
fumecheng-449	38	6	one	one	NUM
fumecheng-449	38	7	example	example	NOUN
fumecheng-449	38	8	of	of	ADP
fumecheng-449	38	9	occurrence	occurrence	NOUN
fumecheng-449	38	10	of	of	ADP
fumecheng-449	38	11	large	large	ADJ
fumecheng-449	38	12	discontinuity	discontinuity	NOUN
fumecheng-449	38	13	in	in	ADP
fumecheng-449	38	14	a	a	DET
fumecheng-449	38	15	foundation	foundation	NOUN
fumecheng-449	38	16	is	be	AUX
fumecheng-449	38	17	provided	provide	VERB
fumecheng-449	38	18	by	by	ADP
fumecheng-449	38	19	a	a	DET
fumecheng-449	38	20	railway	railway	NOUN
fumecheng-449	38	21	crossing	cross	VERB
fumecheng-449	38	22	a	a	DET
fumecheng-449	38	23	bridge	bridge	NOUN
fumecheng-449	38	24	;	;	PUNCT
fumecheng-449	38	25	in	in	ADP
fumecheng-449	38	26	a	a	DET
fumecheng-449	38	27	simple	simple	ADJ
fumecheng-449	38	28	model	model	NOUN
fumecheng-449	38	29	,	,	PUNCT
fumecheng-449	38	30	the	the	DET
fumecheng-449	38	31	beam	beam	NOUN
fumecheng-449	38	32	with	with	ADP
fumecheng-449	38	33	discontinuity	discontinuity	NOUN
fumecheng-449	38	34	in	in	ADP
fumecheng-449	38	35	the	the	DET
fumecheng-449	38	36	foundation	foundation	NOUN
fumecheng-449	38	37	would	would	AUX
fumecheng-449	38	38	represent	represent	VERB
fumecheng-449	38	39	the	the	DET
fumecheng-449	38	40	bridge	bridge	NOUN
fumecheng-449	38	41	.	.	PUNCT
fumecheng-449	39	1	a	a	DET
fumecheng-449	39	2	second	second	ADJ
fumecheng-449	39	3	type	type	NOUN
fumecheng-449	39	4	of	of	ADP
fumecheng-449	39	5	real	real	ADJ
fumecheng-449	39	6	world	world	NOUN
fumecheng-449	39	7	example	example	NOUN
fumecheng-449	39	8	,	,	PUNCT
fumecheng-449	39	9	this	this	DET
fumecheng-449	39	10	time	time	NOUN
fumecheng-449	39	11	with	with	ADP
fumecheng-449	39	12	a	a	DET
fumecheng-449	39	13	discontinuity	discontinuity	NOUN
fumecheng-449	39	14	of	of	ADP
fumecheng-449	39	15	small	small	ADJ
fumecheng-449	39	16	length	length	NOUN
fumecheng-449	39	17	,	,	PUNCT
fumecheng-449	39	18	is	be	AUX
fumecheng-449	39	19	an	an	DET
fumecheng-449	39	20	anomaly	anomaly	NOUN
fumecheng-449	39	21	in	in	ADP
fumecheng-449	39	22	the	the	DET
fumecheng-449	39	23	subsoil	subsoil	NOUN
fumecheng-449	39	24	,	,	PUNCT
fumecheng-449	39	25	which	which	PRON
fumecheng-449	39	26	occurs	occur	VERB
fumecheng-449	39	27	very	very	ADV
fumecheng-449	39	28	often	often	ADV
fumecheng-449	39	29	.	.	PUNCT
fumecheng-449	40	1	two	two	NUM
fumecheng-449	40	2	types	type	NOUN
fumecheng-449	40	3	of	of	ADP
fumecheng-449	40	4	foundation	foundation	NOUN
fumecheng-449	40	5	(	(	PUNCT
fumecheng-449	40	6	winkler	winkler	NOUN
fumecheng-449	40	7	and	and	CCONJ
fumecheng-449	40	8	pasternak	pasternak	PROPN
fumecheng-449	40	9	)	)	PUNCT
fumecheng-449	40	10	are	be	AUX
fumecheng-449	40	11	considered	consider	VERB
fumecheng-449	40	12	.	.	PUNCT
fumecheng-449	41	1	thefirst	thefirst	VERB
fumecheng-449	41	2	order	order	NOUN
fumecheng-449	41	3	shear	shear	NOUN
fumecheng-449	41	4	deformation	deformation	NOUN
fumecheng-449	41	5	theory	theory	NOUN
fumecheng-449	41	6	is	be	AUX
fumecheng-449	41	7	used	use	VERB
fumecheng-449	41	8	because	because	SCONJ
fumecheng-449	41	9	it	it	PRON
fumecheng-449	41	10	provides	provide	VERB
fumecheng-449	41	11	more	more	ADV
fumecheng-449	41	12	accurate	accurate	ADJ
fumecheng-449	41	13	results	result	NOUN
fumecheng-449	41	14	than	than	ADP
fumecheng-449	41	15	bernoulli	bernoulli	NOUN
fumecheng-449	41	16	-	-	PUNCT
fumecheng-449	41	17	euler	euler	NOUN
fumecheng-449	41	18	formulations	formulation	NOUN
fumecheng-449	41	19	,	,	PUNCT
fumecheng-449	41	20	particularly	particularly	ADV
fumecheng-449	41	21	in	in	ADP
fumecheng-449	41	22	the	the	DET
fumecheng-449	41	23	case	case	NOUN
fumecheng-449	41	24	of	of	ADP
fumecheng-449	41	25	thick	thick	ADJ
fumecheng-449	41	26	beams	beam	NOUN
fumecheng-449	41	27	.	.	PUNCT
fumecheng-449	42	1	the	the	DET
fumecheng-449	42	2	equations	equation	NOUN
fumecheng-449	42	3	of	of	ADP
fumecheng-449	42	4	motion	motion	NOUN
fumecheng-449	42	5	are	be	AUX
fumecheng-449	42	6	obtained	obtain	VERB
fumecheng-449	42	7	by	by	ADP
fumecheng-449	42	8	the	the	DET
fumecheng-449	42	9	principle	principle	NOUN
fumecheng-449	42	10	of	of	ADP
fumecheng-449	42	11	virtual	virtual	ADJ
fumecheng-449	42	12	work	work	NOUN
fumecheng-449	42	13	[	[	X
fumecheng-449	42	14	23	23	NUM
fumecheng-449	42	15	]	]	PUNCT
fumecheng-449	42	16	.	.	PUNCT
fumecheng-449	43	1	although	although	SCONJ
fumecheng-449	43	2	only	only	ADJ
fumecheng-449	43	3	linear	linear	ADJ
fumecheng-449	43	4	analyses	analysis	NOUN
fumecheng-449	43	5	are	be	AUX
fumecheng-449	43	6	performed	perform	VERB
fumecheng-449	43	7	in	in	ADP
fumecheng-449	43	8	the	the	DET
fumecheng-449	43	9	numerical	numerical	ADJ
fumecheng-449	43	10	tests	test	NOUN
fumecheng-449	43	11	,	,	PUNCT
fumecheng-449	43	12	the	the	DET
fumecheng-449	43	13	presented	present	VERB
fumecheng-449	43	14	model	model	NOUN
fumecheng-449	43	15	includes	include	VERB
fumecheng-449	43	16	geometrical	geometrical	ADJ
fumecheng-449	43	17	non	non	ADJ
fumecheng-449	43	18	-	-	ADJ
fumecheng-449	43	19	linear	linear	ADJ
fumecheng-449	43	20	effects	effect	NOUN
fumecheng-449	43	21	for	for	ADP
fumecheng-449	43	22	future	future	ADJ
fumecheng-449	43	23	use	use	NOUN
fumecheng-449	43	24	.	.	PUNCT
fumecheng-449	44	1	the	the	DET
fumecheng-449	44	2	model	model	NOUN
fumecheng-449	44	3	is	be	AUX
fumecheng-449	44	4	validated	validate	VERB
fumecheng-449	44	5	by	by	ADP
fumecheng-449	44	6	comparison	comparison	NOUN
fumecheng-449	44	7	with	with	ADP
fumecheng-449	44	8	finite	finite	PROPN
fumecheng-449	44	9	element	element	NOUN
fumecheng-449	44	10	software	software	NOUN
fumecheng-449	44	11	ansys	ansys	PROPN
fumecheng-449	45	1	[	[	X
fumecheng-449	45	2	25	25	NUM
fumecheng-449	45	3	]	]	PUNCT
fumecheng-449	45	4	in	in	ADP
fumecheng-449	45	5	the	the	DET
fumecheng-449	45	6	computation	computation	NOUN
fumecheng-449	45	7	of	of	ADP
fumecheng-449	45	8	natural	natural	ADJ
fumecheng-449	45	9	frequencies	frequency	NOUN
fumecheng-449	45	10	.	.	PUNCT
fumecheng-449	46	1	modes	mode	NOUN
fumecheng-449	46	2	of	of	ADP
fumecheng-449	46	3	vibration	vibration	NOUN
fumecheng-449	46	4	of	of	ADP
fumecheng-449	46	5	beams	beam	NOUN
fumecheng-449	46	6	under	under	ADP
fumecheng-449	46	7	the	the	DET
fumecheng-449	46	8	influence	influence	NOUN
fumecheng-449	46	9	of	of	ADP
fumecheng-449	46	10	variable	variable	ADJ
fumecheng-449	46	11	discontinuity	discontinuity	NOUN
fumecheng-449	46	12	in	in	ADP
fumecheng-449	46	13	foundation	foundation	NOUN
fumecheng-449	46	14	291	291	NUM
fumecheng-449	46	15	2	2	NUM
fumecheng-449	46	16	.	.	PUNCT
fumecheng-449	46	17	mathematical	mathematical	ADJ
fumecheng-449	46	18	model	model	NOUN
fumecheng-449	46	19	and	and	CCONJ
fumecheng-449	46	20	equations	equation	NOUN
fumecheng-449	46	21	of	of	ADP
fumecheng-449	46	22	motion	motion	NOUN
fumecheng-449	46	23	the	the	DET
fumecheng-449	46	24	physical	physical	ADJ
fumecheng-449	46	25	model	model	NOUN
fumecheng-449	46	26	is	be	AUX
fumecheng-449	46	27	defined	define	VERB
fumecheng-449	46	28	by	by	ADP
fumecheng-449	46	29	beam	beam	NOUN
fumecheng-449	46	30	's	's	PART
fumecheng-449	46	31	length	length	NOUN
fumecheng-449	46	32	l	l	NOUN
fumecheng-449	46	33	,	,	PUNCT
fumecheng-449	46	34	width	width	ADJ
fumecheng-449	46	35	b	b	NOUN
fumecheng-449	46	36	and	and	CCONJ
fumecheng-449	46	37	thickness	thickness	NOUN
fumecheng-449	46	38	h.	h.	PROPN
fumecheng-449	46	39	the	the	DET
fumecheng-449	46	40	discontinuity	discontinuity	NOUN
fumecheng-449	46	41	in	in	ADP
fumecheng-449	46	42	the	the	DET
fumecheng-449	46	43	foundation	foundation	NOUN
fumecheng-449	46	44	is	be	AUX
fumecheng-449	46	45	defined	define	VERB
fumecheng-449	46	46	by	by	ADP
fumecheng-449	46	47	l1	l1	PROPN
fumecheng-449	46	48	and	and	CCONJ
fumecheng-449	46	49	l2	l2	NOUN
fumecheng-449	46	50	visualized	visualize	VERB
fumecheng-449	46	51	in	in	ADP
fumecheng-449	46	52	fig	fig	NOUN
fumecheng-449	46	53	.	.	PUNCT
fumecheng-449	47	1	1	1	X
fumecheng-449	47	2	.	.	PUNCT
fumecheng-449	48	1	the	the	DET
fumecheng-449	48	2	beam	beam	NOUN
fumecheng-449	48	3	material	material	NOUN
fumecheng-449	48	4	is	be	AUX
fumecheng-449	48	5	assumed	assume	VERB
fumecheng-449	48	6	to	to	PART
fumecheng-449	48	7	be	be	AUX
fumecheng-449	48	8	elastic	elastic	ADJ
fumecheng-449	48	9	,	,	PUNCT
fumecheng-449	48	10	homogeneous	homogeneous	ADJ
fumecheng-449	48	11	and	and	CCONJ
fumecheng-449	48	12	isotropic	isotropic	NOUN
fumecheng-449	48	13	.	.	PUNCT
fumecheng-449	49	1	the	the	DET
fumecheng-449	49	2	foundation	foundation	NOUN
fumecheng-449	49	3	is	be	AUX
fumecheng-449	49	4	represented	represent	VERB
fumecheng-449	49	5	by	by	ADP
fumecheng-449	49	6	an	an	DET
fumecheng-449	49	7	elastic	elastic	ADJ
fumecheng-449	49	8	layer	layer	NOUN
fumecheng-449	49	9	of	of	ADP
fumecheng-449	49	10	the	the	DET
fumecheng-449	49	11	winkler	winkler	NOUN
fumecheng-449	49	12	's	's	PART
fumecheng-449	49	13	and	and	CCONJ
fumecheng-449	49	14	pasternak	pasternak	PROPN
fumecheng-449	49	15	type	type	NOUN
fumecheng-449	49	16	(	(	PUNCT
fumecheng-449	49	17	neglecting	neglect	VERB
fumecheng-449	49	18	the	the	DET
fumecheng-449	49	19	shear	shear	NOUN
fumecheng-449	49	20	layer	layer	NOUN
fumecheng-449	49	21	reduces	reduce	VERB
fumecheng-449	49	22	the	the	DET
fumecheng-449	49	23	foundation	foundation	NOUN
fumecheng-449	49	24	to	to	ADP
fumecheng-449	49	25	winkler	winkler	PROPN
fumecheng-449	49	26	type	type	NOUN
fumecheng-449	49	27	)	)	PUNCT
fumecheng-449	49	28	.	.	PUNCT
fumecheng-449	50	1	more	more	ADJ
fumecheng-449	50	2	details	detail	NOUN
fumecheng-449	50	3	on	on	ADP
fumecheng-449	50	4	the	the	DET
fumecheng-449	50	5	two	two	NUM
fumecheng-449	50	6	types	type	NOUN
fumecheng-449	50	7	of	of	ADP
fumecheng-449	50	8	foundation	foundation	NOUN
fumecheng-449	50	9	are	be	AUX
fumecheng-449	50	10	given	give	VERB
fumecheng-449	50	11	in	in	ADP
fumecheng-449	50	12	ref	ref	NOUN
fumecheng-449	50	13	.	.	PUNCT
fumecheng-449	51	1	[	[	X
fumecheng-449	51	2	3	3	NUM
fumecheng-449	51	3	]	]	PUNCT
fumecheng-449	51	4	.	.	PUNCT
fumecheng-449	52	1	co	co	VERB
fumecheng-449	52	2	-	-	ADJ
fumecheng-449	52	3	ordinate	ordinate	VERB
fumecheng-449	52	4	axis	axis	NOUN
fumecheng-449	52	5	x	x	X
fumecheng-449	52	6	and	and	CCONJ
fumecheng-449	52	7	z	z	NOUN
fumecheng-449	52	8	are	be	AUX
fumecheng-449	52	9	also	also	ADV
fumecheng-449	52	10	shown	show	VERB
fumecheng-449	52	11	in	in	ADP
fumecheng-449	52	12	fig	fig	NOUN
fumecheng-449	52	13	.	.	PUNCT
fumecheng-449	53	1	1	1	X
fumecheng-449	53	2	.	.	X
fumecheng-449	53	3	fig	fig	NOUN
fumecheng-449	53	4	.	.	PUNCT
fumecheng-449	54	1	1	1	NUM
fumecheng-449	54	2	timoshenko	timoshenko	NOUN
fumecheng-449	54	3	beam	beam	NOUN
fumecheng-449	54	4	supported	support	VERB
fumecheng-449	54	5	by	by	ADP
fumecheng-449	54	6	elastic	elastic	ADJ
fumecheng-449	54	7	foundation	foundation	NOUN
fumecheng-449	54	8	with	with	ADP
fumecheng-449	54	9	discontinuity	discontinuity	NOUN
fumecheng-449	54	10	non	non	ADJ
fumecheng-449	54	11	-	-	ADJ
fumecheng-449	54	12	dimensional	dimensional	ADJ
fumecheng-449	54	13	co	co	NOUN
fumecheng-449	54	14	-	-	NOUN
fumecheng-449	54	15	ordinate	ordinate	ADJ
fumecheng-449	54	16	,	,	PUNCT
fumecheng-449	54	17	ξ	ξ	PROPN
fumecheng-449	54	18	,	,	PUNCT
fumecheng-449	54	19	represented	represent	VERB
fumecheng-449	54	20	in	in	ADP
fumecheng-449	54	21	fig	fig	NOUN
fumecheng-449	54	22	.	.	PUNCT
fumecheng-449	55	1	1	1	NUM
fumecheng-449	55	2	is	be	AUX
fumecheng-449	55	3	the	the	DET
fumecheng-449	55	4	local	local	ADJ
fumecheng-449	55	5	coordinate	coordinate	NOUN
fumecheng-449	55	6	typical	typical	ADJ
fumecheng-449	55	7	of	of	ADP
fumecheng-449	55	8	the	the	DET
fumecheng-449	55	9	finite	finite	ADJ
fumecheng-449	55	10	element	element	NOUN
fumecheng-449	55	11	method	method	NOUN
fumecheng-449	55	12	.	.	PUNCT
fumecheng-449	56	1	adopting	adopt	VERB
fumecheng-449	56	2	the	the	DET
fumecheng-449	56	3	first	first	ADJ
fumecheng-449	56	4	order	order	NOUN
fumecheng-449	56	5	shear	shear	NOUN
fumecheng-449	56	6	deformation	deformation	NOUN
fumecheng-449	56	7	theory	theory	NOUN
fumecheng-449	56	8	[	[	X
fumecheng-449	56	9	29	29	NUM
fumecheng-449	56	10	]	]	PUNCT
fumecheng-449	56	11	,	,	PUNCT
fumecheng-449	56	12	the	the	DET
fumecheng-449	56	13	displacement	displacement	ADJ
fumecheng-449	56	14	field	field	NOUN
fumecheng-449	56	15	of	of	ADP
fumecheng-449	56	16	the	the	DET
fumecheng-449	56	17	model	model	NOUN
fumecheng-449	56	18	is	be	AUX
fumecheng-449	56	19	given	give	VERB
fumecheng-449	56	20	by	by	ADP
fumecheng-449	56	21	:	:	PUNCT
fumecheng-449	56	22	0	0	NUM
fumecheng-449	56	23	0	0	NUM
fumecheng-449	56	24	(	(	PUNCT
fumecheng-449	56	25	)	)	PUNCT
fumecheng-449	56	26	,	,	PUNCT
fumecheng-449	56	27	,	,	PUNCT
fumecheng-449	56	28	,	,	PUNCT
fumecheng-449	56	29	,	,	PUNCT
fumecheng-449	56	30	(	(	PUNCT
fumecheng-449	56	31	)	)	PUNCT
fumecheng-449	56	32	(	(	PUNCT
fumecheng-449	56	33	)	)	PUNCT
fumecheng-449	56	34	u	u	NOUN
fumecheng-449	56	35	u	u	NOUN
fumecheng-449	56	36	zx	zx	NOUN
fumecheng-449	56	37	z	z	PROPN
fumecheng-449	56	38	t	t	PROPN
fumecheng-449	56	39	x	x	SYM
fumecheng-449	56	40	t	t	NOUN
fumecheng-449	56	41	x	x	X
fumecheng-449	56	42	t	t	NOUN
fumecheng-449	56	43			PROPN
fumecheng-449	56	44	,	,	PUNCT
fumecheng-449	56	45	(	(	PUNCT
fumecheng-449	56	46	1	1	NUM
fumecheng-449	56	47	)	)	PUNCT
fumecheng-449	56	48	0	0	NUM
fumecheng-449	56	49	(	(	PUNCT
fumecheng-449	56	50	,	,	PUNCT
fumecheng-449	56	51	,	,	PUNCT
fumecheng-449	56	52	)	)	PUNCT
fumecheng-449	56	53	(	(	PUNCT
fumecheng-449	56	54	,	,	PUNCT
fumecheng-449	56	55	)	)	PUNCT
fumecheng-449	56	56	w	w	X
fumecheng-449	56	57	x	x	PROPN
fumecheng-449	56	58	z	z	NOUN
fumecheng-449	56	59	t	t	PROPN
fumecheng-449	56	60	w	w	NOUN
fumecheng-449	56	61	x	x	X
fumecheng-449	56	62	t	t	PROPN
fumecheng-449	56	63	,	,	PUNCT
fumecheng-449	56	64	(	(	PUNCT
fumecheng-449	56	65	2	2	X
fumecheng-449	56	66	)	)	PUNCT
fumecheng-449	56	67	where	where	SCONJ
fumecheng-449	56	68	superscript	superscript	PROPN
fumecheng-449	56	69	“	"	PUNCT
fumecheng-449	56	70	0	0	NUM
fumecheng-449	56	71	”	"	PUNCT
fumecheng-449	56	72	indicates	indicate	VERB
fumecheng-449	56	73	axis	axis	NOUN
fumecheng-449	56	74	x	x	NOUN
fumecheng-449	56	75	,	,	PUNCT
fumecheng-449	56	76	which	which	PRON
fumecheng-449	56	77	crosses	cross	VERB
fumecheng-449	56	78	the	the	DET
fumecheng-449	56	79	cross	cross	NOUN
fumecheng-449	56	80	section	section	NOUN
fumecheng-449	56	81	centroids	centroid	NOUN
fumecheng-449	56	82	and	and	CCONJ
fumecheng-449	56	83	t	t	NOUN
fumecheng-449	56	84	represents	represent	VERB
fumecheng-449	56	85	time	time	NOUN
fumecheng-449	56	86	.	.	PUNCT
fumecheng-449	57	1	letters	letter	NOUN
fumecheng-449	57	2	u	u	PROPN
fumecheng-449	57	3	and	and	CCONJ
fumecheng-449	57	4	w	w	PROPN
fumecheng-449	57	5	represent	represent	NOUN
fumecheng-449	57	6	,	,	PUNCT
fumecheng-449	57	7	respectively	respectively	ADV
fumecheng-449	57	8	,	,	PUNCT
fumecheng-449	57	9	the	the	DET
fumecheng-449	57	10	displacement	displacement	ADJ
fumecheng-449	57	11	components	component	NOUN
fumecheng-449	57	12	along	along	ADP
fumecheng-449	57	13	axes	axis	NOUN
fumecheng-449	57	14	x	x	PUNCT
fumecheng-449	57	15	and	and	CCONJ
fumecheng-449	57	16	z.	z.	PROPN
fumecheng-449	58	1	the	the	DET
fumecheng-449	58	2	independent	independent	ADJ
fumecheng-449	58	3	rotation	rotation	NOUN
fumecheng-449	58	4	of	of	ADP
fumecheng-449	58	5	cross	cross	NOUN
fumecheng-449	58	6	-	-	NOUN
fumecheng-449	58	7	sections	section	NOUN
fumecheng-449	58	8	about	about	ADP
fumecheng-449	58	9	the	the	DET
fumecheng-449	58	10	axis	axis	NOUN
fumecheng-449	58	11	parallel	parallel	NOUN
fumecheng-449	58	12	to	to	ADP
fumecheng-449	58	13	y	y	PROPN
fumecheng-449	58	14	is	be	AUX
fumecheng-449	58	15	given	give	VERB
fumecheng-449	58	16	by	by	ADP
fumecheng-449	58	17	θ	θ	PROPN
fumecheng-449	58	18	0	0	PUNCT
fumecheng-449	58	19	(	(	PUNCT
fumecheng-449	58	20	x	x	X
fumecheng-449	58	21	,	,	PUNCT
fumecheng-449	58	22	t	t	PROPN
fumecheng-449	58	23	)	)	PUNCT
fumecheng-449	58	24	.	.	PUNCT
fumecheng-449	59	1	for	for	ADP
fumecheng-449	59	2	the	the	DET
fumecheng-449	59	3	sake	sake	NOUN
fumecheng-449	59	4	of	of	ADP
fumecheng-449	59	5	generality	generality	NOUN
fumecheng-449	59	6	,	,	PUNCT
fumecheng-449	59	7	geometrical	geometrical	ADJ
fumecheng-449	59	8	non	non	ADJ
fumecheng-449	59	9	-	-	ADJ
fumecheng-449	59	10	linearity	linearity	NOUN
fumecheng-449	59	11	will	will	AUX
fumecheng-449	59	12	be	be	AUX
fumecheng-449	59	13	considered	consider	VERB
fumecheng-449	59	14	in	in	ADP
fumecheng-449	59	15	the	the	DET
fumecheng-449	59	16	formulation	formulation	NOUN
fumecheng-449	59	17	.	.	PUNCT
fumecheng-449	60	1	the	the	DET
fumecheng-449	60	2	longitudinal	longitudinal	ADJ
fumecheng-449	60	3	and	and	CCONJ
fumecheng-449	60	4	shear	shear	NOUN
fumecheng-449	60	5	strains	strain	NOUN
fumecheng-449	60	6	are	be	AUX
fumecheng-449	60	7	,	,	PUNCT
fumecheng-449	60	8	therefore	therefore	ADV
fumecheng-449	60	9	,	,	PUNCT
fumecheng-449	60	10	written	write	VERB
fumecheng-449	60	11	as	as	ADP
fumecheng-449	60	12	:	:	PUNCT
fumecheng-449	60	13	0	0	NUM
fumecheng-449	60	14	0	0	NUM
fumecheng-449	60	15	2	2	NUM
fumecheng-449	60	16	0	0	NUM
fumecheng-449	60	17	,	,	PUNCT
fumecheng-449	60	18	,	,	PUNCT
fumecheng-449	60	19	,	,	PUNCT
fumecheng-449	60	20	(	(	PUNCT
fumecheng-449	60	21	)	)	PUNCT
fumecheng-449	60	22	(	(	PUNCT
fumecheng-449	60	23	)	)	PUNCT
fumecheng-449	60	24	(	(	PUNCT
fumecheng-449	60	25	)	)	PUNCT
fumecheng-449	60	26	(	(	PUNCT
fumecheng-449	60	27	)	)	PUNCT
fumecheng-449	60	28	1	1	NUM
fumecheng-449	60	29	,	,	PUNCT
fumecheng-449	60	30	,	,	PUNCT
fumecheng-449	60	31	(	(	PUNCT
fumecheng-449	60	32	,	,	PUNCT
fumecheng-449	60	33	)	)	PUNCT
fumecheng-449	60	34	z	z	NOUN
fumecheng-449	60	35	,	,	PUNCT
fumecheng-449	61	1	2	2	NUM
fumecheng-449	61	2	x	x	SYM
fumecheng-449	61	3	x	x	PUNCT
fumecheng-449	61	4	x	x	X
fumecheng-449	61	5	xx	xx	NUM
fumecheng-449	61	6	t	t	X
fumecheng-449	61	7	u	u	NOUN
fumecheng-449	61	8	x	x	PROPN
fumecheng-449	61	9	t	t	PROPN
fumecheng-449	61	10	w	w	PROPN
fumecheng-449	61	11	x	x	SYM
fumecheng-449	61	12	t	t	NOUN
fumecheng-449	61	13	x	x	SYM
fumecheng-449	61	14	t	t	PROPN
fumecheng-449	61	15			NOUN
fumecheng-449	61	16			ADV
fumecheng-449	61	17			PUNCT
fumecheng-449	61	18	,	,	PUNCT
fumecheng-449	61	19	(	(	PUNCT
fumecheng-449	61	20	3	3	X
fumecheng-449	61	21	)	)	PUNCT
fumecheng-449	61	22	0	0	NUM
fumecheng-449	61	23	0	0	NUM
fumecheng-449	61	24	,	,	PUNCT
fumecheng-449	61	25	(	(	PUNCT
fumecheng-449	61	26	)	)	PUNCT
fumecheng-449	61	27	(	(	PUNCT
fumecheng-449	61	28	,	,	PUNCT
fumecheng-449	61	29	,	,	PUNCT
fumecheng-449	61	30	)	)	PUNCT
fumecheng-449	61	31	(	(	PUNCT
fumecheng-449	61	32	)	)	PUNCT
fumecheng-449	61	33	,	,	PUNCT
fumecheng-449	61	34	xz	xz	PROPN
fumecheng-449	61	35	xx	xx	NUM
fumecheng-449	61	36	t	t	PROPN
fumecheng-449	61	37	w	w	PROPN
fumecheng-449	61	38	x	x	SYM
fumecheng-449	61	39	t	t	PROPN
fumecheng-449	61	40	x	x	SYM
fumecheng-449	61	41	t	t	PROPN
fumecheng-449	61	42			PROPN
fumecheng-449	61	43			X
fumecheng-449	61	44	.	.	PUNCT
fumecheng-449	62	1	(	(	PUNCT
fumecheng-449	62	2	4	4	X
fumecheng-449	62	3	)	)	PUNCT
fumecheng-449	62	4	a	a	DET
fumecheng-449	62	5	comma	comma	NOUN
fumecheng-449	62	6	in	in	ADP
fumecheng-449	62	7	subscript	subscript	NOUN
fumecheng-449	62	8	,	,	PUNCT
fumecheng-449	62	9	followed	follow	VERB
fumecheng-449	62	10	by	by	ADP
fumecheng-449	62	11	a	a	DET
fumecheng-449	62	12	variable	variable	NOUN
fumecheng-449	62	13	,	,	PUNCT
fumecheng-449	62	14	represents	represent	VERB
fumecheng-449	62	15	partial	partial	ADJ
fumecheng-449	62	16	derivation	derivation	NOUN
fumecheng-449	62	17	with	with	ADP
fumecheng-449	62	18	respect	respect	NOUN
fumecheng-449	62	19	to	to	ADP
fumecheng-449	62	20	the	the	DET
fumecheng-449	62	21	latter	latter	ADJ
fumecheng-449	62	22	.	.	PUNCT
fumecheng-449	63	1	vector	vector	NOUN
fumecheng-449	63	2	d0(ξ	d0(ξ	PROPN
fumecheng-449	63	3	,	,	PUNCT
fumecheng-449	63	4	t	t	PROPN
fumecheng-449	63	5	)	)	PUNCT
fumecheng-449	63	6	,	,	PUNCT
fumecheng-449	63	7	which	which	PRON
fumecheng-449	63	8	is	be	AUX
fumecheng-449	63	9	formed	form	VERB
fumecheng-449	63	10	by	by	ADP
fumecheng-449	63	11	the	the	DET
fumecheng-449	63	12	components	component	NOUN
fumecheng-449	63	13	of	of	ADP
fumecheng-449	63	14	displacement	displacement	NOUN
fumecheng-449	63	15	,	,	PUNCT
fumecheng-449	63	16	is	be	AUX
fumecheng-449	63	17	written	write	VERB
fumecheng-449	63	18	as	as	ADP
fumecheng-449	63	19	the	the	DET
fumecheng-449	63	20	product	product	NOUN
fumecheng-449	63	21	of	of	ADP
fumecheng-449	63	22	shape	shape	NOUN
fumecheng-449	63	23	functions	function	NOUN
fumecheng-449	63	24	by	by	ADP
fumecheng-449	63	25	the	the	DET
fumecheng-449	63	26	generalized	generalized	ADJ
fumecheng-449	63	27	coordinates	coordinate	NOUN
fumecheng-449	63	28	:	:	PUNCT
fumecheng-449	63	29	292	292	NUM
fumecheng-449	63	30	v.	v.	ADP
fumecheng-449	63	31	stojanović	stojanović	PROPN
fumecheng-449	63	32	,	,	PUNCT
fumecheng-449	63	33	p.	p.	NOUN
fumecheng-449	63	34	ribeiro	ribeiro	PROPN
fumecheng-449	63	35	0	0	PUNCT
fumecheng-449	64	1	(	(	PUNCT
fumecheng-449	64	2	)	)	PUNCT
fumecheng-449	64	3	,	,	PUNCT
fumecheng-449	64	4	  	  	SPACE
fumecheng-449	64	5	(	(	PUNCT
fumecheng-449	64	6	)	)	PUNCT
fumecheng-449	64	7	  	  	SPACE
fumecheng-449	64	8	(	(	PUNCT
fumecheng-449	64	9	)	)	PUNCT
fumecheng-449	64	10	t	t	PROPN
fumecheng-449	64	11	t	t	NUM
fumecheng-449	64	12	d	d	PROPN
fumecheng-449	64	13	n	n	CCONJ
fumecheng-449	64	14	q	q	NOUN
fumecheng-449	64	15	,	,	PUNCT
fumecheng-449	64	16	(	(	PUNCT
fumecheng-449	64	17	5	5	NUM
fumecheng-449	64	18	)	)	PUNCT
fumecheng-449	64	19	0	0	NUM
fumecheng-449	65	1	t	t	NOUN
fumecheng-449	65	2	0	0	NUM
fumecheng-449	65	3	t	t	NOUN
fumecheng-449	65	4	0	0	NUM
fumecheng-449	65	5	t	t	PROPN
fumecheng-449	65	6	(	(	PUNCT
fumecheng-449	65	7	)	)	PUNCT
fumecheng-449	65	8	(	(	PUNCT
fumecheng-449	65	9	)	)	PUNCT
fumecheng-449	65	10	(	(	PUNCT
fumecheng-449	65	11	)	)	PUNCT
fumecheng-449	65	12	(	(	PUNCT
fumecheng-449	65	13	)	)	PUNCT
fumecheng-449	65	14	(	(	PUNCT
fumecheng-449	65	15	)	)	PUNCT
fumecheng-449	65	16	(	(	PUNCT
fumecheng-449	65	17	)	)	PUNCT
fumecheng-449	65	18	(	(	PUNCT
fumecheng-449	65	19	)	)	PUNCT
fumecheng-449	65	20	(	(	PUNCT
fumecheng-449	65	21	)	)	PUNCT
fumecheng-449	65	22	(	(	PUNCT
fumecheng-449	65	23	)	)	PUNCT
fumecheng-449	65	24	,	,	PUNCT
fumecheng-449	65	25	  	  	SPACE
fumecheng-449	65	26	0	0	NUM
fumecheng-449	65	27	0	0	NUM
fumecheng-449	65	28	,	,	PUNCT
fumecheng-449	65	29	    	    	SPACE
fumecheng-449	65	30	0	0	NUM
fumecheng-449	65	31	0	0	NUM
fumecheng-449	65	32	,	,	PUNCT
fumecheng-449	65	33	  	  	SPACE
fumecheng-449	65	34	0	0	NUM
fumecheng-449	65	35	0	0	NUM
fumecheng-449	66	1	u	u	PROPN
fumecheng-449	66	2	w	w	PROPN
fumecheng-449	66	3	u	u	PROPN
fumecheng-449	66	4	t	t	PROPN
fumecheng-449	66	5	w	w	PROPN
fumecheng-449	66	6	t	t	PROPN
fumecheng-449	66	7	t	t	PROPN
fumecheng-449	66	8	t	t	X
fumecheng-449	66	9	tt	tt	X
fumecheng-449	66	10			X
fumecheng-449	66	11			VERB
fumecheng-449	66	12			SYM
fumecheng-449	66	13			VERB
fumecheng-449	66	14			NOUN
fumecheng-449	66	15			SYM
fumecheng-449	66	16			NOUN
fumecheng-449	66	17			X
fumecheng-449	66	18			NOUN
fumecheng-449	67	1			PROPN
fumecheng-449	67	2			NUM
fumecheng-449	67	3			NOUN
fumecheng-449	67	4			NOUN
fumecheng-449	68	1			ADP
fumecheng-449	68	2			NUM
fumecheng-449	68	3			PRON
fumecheng-449	68	4			NOUN
fumecheng-449	68	5			X
fumecheng-449	68	6			NUM
fumecheng-449	68	7			NUM
fumecheng-449	68	8			NUM
fumecheng-449	68	9			PROPN
fumecheng-449	68	10			X
fumecheng-449	68	11			INTJ
fumecheng-449	68	12			NUM
fumecheng-449	68	13			PROPN
fumecheng-449	68	14			NOUN
fumecheng-449	68	15			NUM
fumecheng-449	68	16			NUM
fumecheng-449	68	17			NUM
fumecheng-449	68	18			PRON
fumecheng-449	68	19			PROPN
fumecheng-449	68	20			PUNCT
fumecheng-449	68	21			PROPN
fumecheng-449	69	1			PROPN
fumecheng-449	69	2			PROPN
fumecheng-449	69	3			VERB
fumecheng-449	69	4			PROPN
fumecheng-449	69	5	u	u	PROPN
fumecheng-449	69	6	w	w	PROPN
fumecheng-449	69	7	θ	θ	PROPN
fumecheng-449	69	8	n	n	CCONJ
fumecheng-449	69	9	q	q	PROPN
fumecheng-449	69	10	n	n	PROPN
fumecheng-449	69	11	q	q	NOUN
fumecheng-449	69	12	qn	qn	INTJ
fumecheng-449	69	13	.	.	PUNCT
fumecheng-449	70	1	(	(	PUNCT
fumecheng-449	70	2	6	6	NUM
fumecheng-449	70	3	)	)	PUNCT
fumecheng-449	70	4	in	in	ADP
fumecheng-449	70	5	the	the	DET
fumecheng-449	70	6	equation	equation	NOUN
fumecheng-449	70	7	above	above	ADV
fumecheng-449	70	8	,	,	PUNCT
fumecheng-449	70	9	n	n	CCONJ
fumecheng-449	70	10	u	u	NOUN
fumecheng-449	70	11	(	(	PUNCT
fumecheng-449	70	12	ξ	ξ	NOUN
fumecheng-449	70	13	)	)	PUNCT
fumecheng-449	70	14	,	,	PUNCT
fumecheng-449	70	15	n	n	PROPN
fumecheng-449	70	16	w	w	PROPN
fumecheng-449	70	17	(	(	PUNCT
fumecheng-449	70	18	ξ	ξ	NOUN
fumecheng-449	70	19	)	)	PUNCT
fumecheng-449	70	20	and	and	CCONJ
fumecheng-449	70	21	n	n	PRON
fumecheng-449	70	22	θ	θ	PROPN
fumecheng-449	70	23	(	(	PUNCT
fumecheng-449	70	24	ξ	ξ	NOUN
fumecheng-449	70	25	)	)	PUNCT
fumecheng-449	70	26	are	be	AUX
fumecheng-449	70	27	,	,	PUNCT
fumecheng-449	70	28	respectively	respectively	ADV
fumecheng-449	70	29	,	,	PUNCT
fumecheng-449	70	30	the	the	DET
fumecheng-449	70	31	in	in	ADP
fumecheng-449	70	32	-	-	PUNCT
fumecheng-449	70	33	plane	plane	NOUN
fumecheng-449	70	34	,	,	PUNCT
fumecheng-449	70	35	the	the	DET
fumecheng-449	70	36	out	out	ADV
fumecheng-449	70	37	-	-	PUNCT
fumecheng-449	70	38	ofplane	ofplane	ADJ
fumecheng-449	70	39	and	and	CCONJ
fumecheng-449	70	40	rotation	rotation	NOUN
fumecheng-449	70	41	shape	shape	NOUN
fumecheng-449	70	42	functions	function	NOUN
fumecheng-449	70	43	,	,	PUNCT
fumecheng-449	70	44	which	which	PRON
fumecheng-449	70	45	together	together	ADV
fumecheng-449	70	46	form	form	VERB
fumecheng-449	70	47	the	the	DET
fumecheng-449	70	48	matrix	matrix	NOUN
fumecheng-449	70	49	of	of	ADP
fumecheng-449	70	50	shape	shape	NOUN
fumecheng-449	70	51	functions	function	NOUN
fumecheng-449	70	52	n(ξ	n(ξ	NOUN
fumecheng-449	70	53	)	)	PUNCT
fumecheng-449	70	54	.	.	PUNCT
fumecheng-449	71	1	time	time	NOUN
fumecheng-449	71	2	dependent	dependent	ADJ
fumecheng-449	71	3	generalized	generalized	ADJ
fumecheng-449	71	4	displacements	displacement	NOUN
fumecheng-449	71	5	are	be	AUX
fumecheng-449	71	6	represented	represent	VERB
fumecheng-449	71	7	by	by	ADP
fumecheng-449	71	8	:	:	PUNCT
fumecheng-449	71	9	qu(t	qu(t	NUM
fumecheng-449	71	10	)	)	PUNCT
fumecheng-449	71	11	(	(	PUNCT
fumecheng-449	71	12	generalized	generalize	VERB
fumecheng-449	71	13	longitudinal	longitudinal	ADJ
fumecheng-449	71	14	displacements	displacement	NOUN
fumecheng-449	71	15	)	)	PUNCT
fumecheng-449	71	16	;	;	PUNCT
fumecheng-449	71	17	qw(t	qw(t	X
fumecheng-449	71	18	)	)	PUNCT
fumecheng-449	71	19	(	(	PUNCT
fumecheng-449	71	20	generalized	generalize	VERB
fumecheng-449	71	21	transverse	transverse	NOUN
fumecheng-449	71	22	displacements	displacement	NOUN
fumecheng-449	71	23	)	)	PUNCT
fumecheng-449	71	24	;	;	PUNCT
fumecheng-449	72	1	qθ(t	qθ(t	NOUN
fumecheng-449	72	2	)	)	PUNCT
fumecheng-449	72	3	(	(	PUNCT
fumecheng-449	72	4	generalized	generalize	VERB
fumecheng-449	72	5	rotations	rotation	NOUN
fumecheng-449	72	6	about	about	ADP
fumecheng-449	72	7	y	y	PROPN
fumecheng-449	72	8	axis	axis	NOUN
fumecheng-449	72	9	)	)	PUNCT
fumecheng-449	72	10	.	.	PUNCT
fumecheng-449	73	1	the	the	DET
fumecheng-449	73	2	shape	shape	NOUN
fumecheng-449	73	3	functions	function	NOUN
fumecheng-449	73	4	associated	associate	VERB
fumecheng-449	73	5	to	to	ADP
fumecheng-449	73	6	the	the	DET
fumecheng-449	73	7	discontinuity	discontinuity	NOUN
fumecheng-449	73	8	are	be	AUX
fumecheng-449	73	9	represented	represent	VERB
fumecheng-449	73	10	by	by	ADP
fumecheng-449	73	11	superscript	superscript	NOUN
fumecheng-449	73	12	“	"	PUNCT
fumecheng-449	73	13	d	d	NOUN
fumecheng-449	73	14	”	"	PUNCT
fumecheng-449	73	15	.	.	PUNCT
fumecheng-449	74	1	consequently	consequently	ADV
fumecheng-449	74	2	,	,	PUNCT
fumecheng-449	74	3	the	the	DET
fumecheng-449	74	4	row	row	NOUN
fumecheng-449	74	5	vectors	vector	NOUN
fumecheng-449	74	6	of	of	ADP
fumecheng-449	74	7	longitudinal	longitudinal	ADJ
fumecheng-449	74	8	,	,	PUNCT
fumecheng-449	74	9	transverse	transverse	NOUN
fumecheng-449	74	10	and	and	CCONJ
fumecheng-449	74	11	rotation	rotation	NOUN
fumecheng-449	74	12	shape	shape	NOUN
fumecheng-449	74	13	functions	function	NOUN
fumecheng-449	74	14	,	,	PUNCT
fumecheng-449	74	15	are	be	AUX
fumecheng-449	74	16	respectively	respectively	ADV
fumecheng-449	74	17	,	,	PUNCT
fumecheng-449	74	18	the	the	DET
fumecheng-449	74	19	following	follow	VERB
fumecheng-449	74	20	:	:	PUNCT
fumecheng-449	74	21	t	t	PROPN
fumecheng-449	74	22	1	1	NUM
fumecheng-449	74	23	2	2	NUM
fumecheng-449	74	24	1	1	NUM
fumecheng-449	74	25	2	2	NUM
fumecheng-449	74	26	1	1	NUM
fumecheng-449	74	27	2	2	NUM
fumecheng-449	74	28	1	1	NUM
fumecheng-449	74	29	2	2	NUM
fumecheng-449	74	30	3	3	NUM
fumecheng-449	74	31	,	,	PUNCT
fumecheng-449	74	32	,	,	PUNCT
fumecheng-449	74	33	  	  	SPACE
fumecheng-449	74	34	,	,	PUNCT
fumecheng-449	74	35	,	,	PUNCT
fumecheng-449	74	36	(	(	PUNCT
fumecheng-449	74	37	)	)	PUNCT
fumecheng-449	74	38	(	(	PUNCT
fumecheng-449	74	39	)	)	PUNCT
fumecheng-449	74	40	(	(	PUNCT
fumecheng-449	74	41	)	)	PUNCT
fumecheng-449	74	42	(	(	PUNCT
fumecheng-449	74	43	)	)	PUNCT
fumecheng-449	74	44	(	(	PUNCT
fumecheng-449	74	45	  	  	SPACE
fumecheng-449	74	46	|	|	ADV
fumecheng-449	74	47	          	          	SPACE
fumecheng-449	74	48	)	)	PUNCT
fumecheng-449	74	49	    	    	SPACE
fumecheng-449	74	50	2	2	NUM
fumecheng-449	74	51	2	2	NUM
fumecheng-449	74	52	u	u	NOUN
fumecheng-449	74	53	d	d	PROPN
fumecheng-449	74	54	d	d	X
fumecheng-449	74	55	pu	pu	PROPN
fumecheng-449	74	56	l	l	PROPN
fumecheng-449	74	57	l	l	X
fumecheng-449	74	58	l	l	X
fumecheng-449	74	59	l	l	NOUN
fumecheng-449	74	60	f	f	X
fumecheng-449	74	61	l	l	NOUN
fumecheng-449	74	62	f	f	X
fumecheng-449	75	1	l	l	NOUN
fumecheng-449	75	2	f	f	X
fumecheng-449	76	1	f	f	X
fumecheng-449	76	2	f	f	NOUN
fumecheng-449	76	3	f	f	NOUN
fumecheng-449	77	1			NOUN
fumecheng-449	77	2			NOUN
fumecheng-449	77	3			NOUN
fumecheng-449	77	4			NOUN
fumecheng-449	77	5			NOUN
fumecheng-449	77	6			X
fumecheng-449	77	7			NUM
fumecheng-449	77	8			NUM
fumecheng-449	77	9			VERB
fumecheng-449	77	10			PROPN
fumecheng-449	77	11			NOUN
fumecheng-449	77	12			NOUN
fumecheng-449	77	13			PROPN
fumecheng-449	77	14			NUM
fumecheng-449	77	15			NOUN
fumecheng-449	78	1			PROPN
fumecheng-449	79	1			PROPN
fumecheng-449	79	2			PROPN
fumecheng-449	80	1			PROPN
fumecheng-449	80	2			PROPN
fumecheng-449	80	3			PROPN
fumecheng-449	80	4			PROPN
fumecheng-449	80	5			PROPN
fumecheng-449	80	6	n	n	PROPN
fumecheng-449	80	7	,	,	PUNCT
fumecheng-449	80	8	(	(	PUNCT
fumecheng-449	80	9	7	7	X
fumecheng-449	80	10	)	)	PUNCT
fumecheng-449	80	11	t	t	NOUN
fumecheng-449	81	1	1	1	NUM
fumecheng-449	81	2	2	2	NUM
fumecheng-449	81	3	1	1	NUM
fumecheng-449	81	4	2	2	NUM
fumecheng-449	81	5	1	1	NUM
fumecheng-449	81	6	2	2	NUM
fumecheng-449	81	7	1	1	NUM
fumecheng-449	81	8	2	2	NUM
fumecheng-449	81	9	3	3	NUM
fumecheng-449	81	10	,	,	PUNCT
fumecheng-449	81	11	,	,	PUNCT
fumecheng-449	81	12	  	  	SPACE
fumecheng-449	81	13	,	,	PUNCT
fumecheng-449	81	14	,	,	PUNCT
fumecheng-449	81	15	 	 	SPACE
fumecheng-449	81	16	|	|	ADV
fumecheng-449	81	17	            	            	SPACE
fumecheng-449	81	18	2	2	NUM
fumecheng-449	81	19	2	2	NUM
fumecheng-449	81	20	(	(	PUNCT
fumecheng-449	81	21	)	)	PUNCT
fumecheng-449	81	22	(	(	PUNCT
fumecheng-449	81	23	)	)	PUNCT
fumecheng-449	81	24	(	(	PUNCT
fumecheng-449	81	25	)	)	PUNCT
fumecheng-449	81	26	(	(	PUNCT
fumecheng-449	81	27	)	)	PUNCT
fumecheng-449	81	28	(	(	PUNCT
fumecheng-449	81	29	)	)	PUNCT
fumecheng-449	82	1	w	w	PROPN
fumecheng-449	82	2	d	d	PROPN
fumecheng-449	82	3	d	d	X
fumecheng-449	82	4	pw	pw	PROPN
fumecheng-449	82	5	l	l	NOUN
fumecheng-449	82	6	l	l	NOUN
fumecheng-449	82	7	l	l	X
fumecheng-449	82	8	l	l	NOUN
fumecheng-449	82	9	f	f	X
fumecheng-449	83	1	l	l	NOUN
fumecheng-449	83	2	f	f	X
fumecheng-449	83	3	l	l	NOUN
fumecheng-449	83	4	f	f	X
fumecheng-449	84	1	f	f	X
fumecheng-449	84	2	f	f	NOUN
fumecheng-449	84	3	f	f	NOUN
fumecheng-449	85	1			NOUN
fumecheng-449	85	2			NOUN
fumecheng-449	85	3			NOUN
fumecheng-449	85	4			NOUN
fumecheng-449	85	5			NOUN
fumecheng-449	85	6			X
fumecheng-449	85	7			NUM
fumecheng-449	85	8			NUM
fumecheng-449	85	9			VERB
fumecheng-449	85	10			PROPN
fumecheng-449	85	11			NOUN
fumecheng-449	85	12			NOUN
fumecheng-449	85	13			PROPN
fumecheng-449	85	14			NUM
fumecheng-449	85	15			NOUN
fumecheng-449	86	1			PROPN
fumecheng-449	87	1			PROPN
fumecheng-449	87	2			PROPN
fumecheng-449	88	1			PROPN
fumecheng-449	88	2			PROPN
fumecheng-449	88	3			PROPN
fumecheng-449	88	4			PROPN
fumecheng-449	88	5			PROPN
fumecheng-449	88	6	n	n	PROPN
fumecheng-449	88	7	,	,	PUNCT
fumecheng-449	88	8	(	(	PUNCT
fumecheng-449	88	9	8)	8)	NUM
fumecheng-449	88	10	t	t	NOUN
fumecheng-449	88	11	1	1	NUM
fumecheng-449	88	12	2	2	NUM
fumecheng-449	88	13	1	1	NUM
fumecheng-449	88	14	2	2	NUM
fumecheng-449	88	15	1	1	NUM
fumecheng-449	88	16	2	2	NUM
fumecheng-449	88	17	1	1	NUM
fumecheng-449	88	18	2	2	NUM
fumecheng-449	88	19	3	3	NUM
fumecheng-449	88	20	,	,	PUNCT
fumecheng-449	88	21	,	,	PUNCT
fumecheng-449	88	22	  	  	SPACE
fumecheng-449	88	23	,	,	PUNCT
fumecheng-449	88	24	,	,	PUNCT
fumecheng-449	88	25	(	(	PUNCT
fumecheng-449	88	26	)	)	PUNCT
fumecheng-449	88	27	(	(	PUNCT
fumecheng-449	88	28	)	)	PUNCT
fumecheng-449	88	29	(	(	PUNCT
fumecheng-449	88	30	)	)	PUNCT
fumecheng-449	88	31	(	(	PUNCT
fumecheng-449	88	32	)	)	PUNCT
fumecheng-449	88	33	(	(	PUNCT
fumecheng-449	88	34	 	 	SPACE
fumecheng-449	88	35	|	|	ADV
fumecheng-449	88	36	              	              	SPACE
fumecheng-449	88	37	)	)	PUNCT
fumecheng-449	89	1	2	2	NUM
fumecheng-449	89	2	2	2	NUM
fumecheng-449	89	3	d	d	NOUN
fumecheng-449	89	4	d	d	X
fumecheng-449	89	5	p	p	NOUN
fumecheng-449	89	6	l	l	NOUN
fumecheng-449	89	7	l	l	NOUN
fumecheng-449	89	8	l	l	NOUN
fumecheng-449	89	9	l	l	NOUN
fumecheng-449	89	10	f	f	X
fumecheng-449	89	11	l	l	NOUN
fumecheng-449	89	12	f	f	X
fumecheng-449	89	13	l	l	NOUN
fumecheng-449	89	14	f	f	X
fumecheng-449	89	15	f	f	PROPN
fumecheng-449	89	16	f	f	PROPN
fumecheng-449	89	17	f	f	PROPN
fumecheng-449	89	18			NOUN
fumecheng-449	90	1			NOUN
fumecheng-449	90	2			NOUN
fumecheng-449	90	3			NOUN
fumecheng-449	90	4			NOUN
fumecheng-449	90	5			NOUN
fumecheng-449	90	6			X
fumecheng-449	90	7			NUM
fumecheng-449	90	8			NUM
fumecheng-449	90	9			VERB
fumecheng-449	90	10			PROPN
fumecheng-449	90	11			NOUN
fumecheng-449	90	12			NOUN
fumecheng-449	90	13			PROPN
fumecheng-449	90	14			NUM
fumecheng-449	90	15			NOUN
fumecheng-449	91	1			PROPN
fumecheng-449	92	1			PROPN
fumecheng-449	92	2			PROPN
fumecheng-449	93	1			PROPN
fumecheng-449	93	2			PROPN
fumecheng-449	93	3			PROPN
fumecheng-449	93	4			PROPN
fumecheng-449	93	5			PROPN
fumecheng-449	93	6	n	n	PROPN
fumecheng-449	93	7	,	,	PUNCT
fumecheng-449	93	8	(	(	PUNCT
fumecheng-449	93	9	9	9	X
fumecheng-449	93	10	)	)	PUNCT
fumecheng-449	93	11	the	the	DET
fumecheng-449	93	12	total	total	ADJ
fumecheng-449	93	13	numbers	number	NOUN
fumecheng-449	93	14	of	of	ADP
fumecheng-449	93	15	longitudinal	longitudinal	ADJ
fumecheng-449	93	16	,	,	PUNCT
fumecheng-449	93	17	transverse	transverse	ADJ
fumecheng-449	93	18	and	and	CCONJ
fumecheng-449	93	19	rotational	rotational	ADJ
fumecheng-449	93	20	shape	shape	NOUN
fumecheng-449	93	21	functions	function	NOUN
fumecheng-449	93	22	employed	employ	VERB
fumecheng-449	93	23	are	be	AUX
fumecheng-449	93	24	,	,	PUNCT
fumecheng-449	93	25	respectively	respectively	ADV
fumecheng-449	93	26	,	,	PUNCT
fumecheng-449	93	27	pu	pu	PROPN
fumecheng-449	93	28	,	,	PUNCT
fumecheng-449	93	29	pw	pw	PROPN
fumecheng-449	93	30	,	,	PUNCT
fumecheng-449	93	31	and	and	CCONJ
fumecheng-449	93	32	pθ	pθ	VERB
fumecheng-449	93	33	plus	plus	CCONJ
fumecheng-449	93	34	two	two	NUM
fumecheng-449	93	35	(	(	PUNCT
fumecheng-449	93	36	due	due	ADP
fumecheng-449	93	37	to	to	ADP
fumecheng-449	93	38	functions	function	NOUN
fumecheng-449	93	39	f1	f1	PROPN
fumecheng-449	93	40	d	d	PROPN
fumecheng-449	93	41	and	and	CCONJ
fumecheng-449	93	42	f2	f2	PROPN
fumecheng-449	93	43	d	d	PROPN
fumecheng-449	93	44	)	)	PUNCT
fumecheng-449	93	45	.	.	PUNCT
fumecheng-449	94	1	the	the	DET
fumecheng-449	94	2	last	last	ADJ
fumecheng-449	94	3	two	two	NUM
fumecheng-449	94	4	functions	function	NOUN
fumecheng-449	94	5	are	be	AUX
fumecheng-449	94	6	here	here	ADV
fumecheng-449	94	7	associated	associate	VERB
fumecheng-449	94	8	to	to	ADP
fumecheng-449	94	9	the	the	DET
fumecheng-449	94	10	discontinuity	discontinuity	NOUN
fumecheng-449	94	11	of	of	ADP
fumecheng-449	94	12	the	the	DET
fumecheng-449	94	13	foundation	foundation	NOUN
fumecheng-449	94	14	and	and	CCONJ
fumecheng-449	94	15	are	be	AUX
fumecheng-449	94	16	explained	explain	VERB
fumecheng-449	94	17	in	in	ADP
fumecheng-449	94	18	detail	detail	NOUN
fumecheng-449	94	19	in	in	ADP
fumecheng-449	94	20	ref	ref	NOUN
fumecheng-449	94	21	.	.	PUNCT
fumecheng-449	95	1	[	[	X
fumecheng-449	95	2	22	22	NUM
fumecheng-449	95	3	]	]	PUNCT
fumecheng-449	95	4	.	.	PUNCT
fumecheng-449	96	1	in	in	ADP
fumecheng-449	96	2	the	the	DET
fumecheng-449	96	3	p	p	NOUN
fumecheng-449	96	4	-	-	PUNCT
fumecheng-449	96	5	version	version	NOUN
fumecheng-449	96	6	finite	finite	NOUN
fumecheng-449	96	7	element	element	NOUN
fumecheng-449	96	8	method	method	NOUN
fumecheng-449	96	9	,	,	PUNCT
fumecheng-449	96	10	the	the	DET
fumecheng-449	96	11	number	number	NOUN
fumecheng-449	96	12	of	of	ADP
fumecheng-449	96	13	elements	element	NOUN
fumecheng-449	96	14	is	be	AUX
fumecheng-449	96	15	essentially	essentially	ADV
fumecheng-449	96	16	defined	define	VERB
fumecheng-449	96	17	by	by	ADP
fumecheng-449	96	18	the	the	DET
fumecheng-449	96	19	geometry	geometry	NOUN
fumecheng-449	96	20	of	of	ADP
fumecheng-449	96	21	the	the	DET
fumecheng-449	96	22	structure	structure	NOUN
fumecheng-449	96	23	to	to	PART
fumecheng-449	96	24	analyze	analyze	VERB
fumecheng-449	96	25	.	.	PUNCT
fumecheng-449	97	1	for	for	ADP
fumecheng-449	97	2	example	example	NOUN
fumecheng-449	97	3	,	,	PUNCT
fumecheng-449	97	4	in	in	ADP
fumecheng-449	97	5	ref	ref	NOUN
fumecheng-449	97	6	.	.	PUNCT
fumecheng-449	98	1	[	[	X
fumecheng-449	98	2	14	14	NUM
fumecheng-449	98	3	]	]	PUNCT
fumecheng-449	98	4	a	a	DET
fumecheng-449	98	5	portal	portal	ADJ
fumecheng-449	98	6	plane	plane	NOUN
fumecheng-449	98	7	frame	frame	NOUN
fumecheng-449	98	8	constituted	constitute	VERB
fumecheng-449	98	9	by	by	ADP
fumecheng-449	98	10	three	three	NUM
fumecheng-449	98	11	straight	straight	ADJ
fumecheng-449	98	12	beams	beam	NOUN
fumecheng-449	98	13	is	be	AUX
fumecheng-449	98	14	analyzed	analyze	VERB
fumecheng-449	98	15	using	use	VERB
fumecheng-449	98	16	three	three	NUM
fumecheng-449	98	17	p	p	ADJ
fumecheng-449	98	18	-	-	PUNCT
fumecheng-449	98	19	version	version	NOUN
fumecheng-449	98	20	beam	beam	NOUN
fumecheng-449	98	21	elements	element	NOUN
fumecheng-449	98	22	.	.	PUNCT
fumecheng-449	99	1	but	but	CCONJ
fumecheng-449	99	2	localized	localize	VERB
fumecheng-449	99	3	steep	steep	ADJ
fumecheng-449	99	4	variations	variation	NOUN
fumecheng-449	99	5	,	,	PUNCT
fumecheng-449	99	6	as	as	SCONJ
fumecheng-449	99	7	the	the	DET
fumecheng-449	99	8	ones	one	NOUN
fumecheng-449	99	9	introduced	introduce	VERB
fumecheng-449	99	10	by	by	ADP
fumecheng-449	99	11	discontinuity	discontinuity	NOUN
fumecheng-449	99	12	,	,	PUNCT
fumecheng-449	99	13	are	be	AUX
fumecheng-449	99	14	thought	think	VERB
fumecheng-449	99	15	to	to	PART
fumecheng-449	99	16	advocate	advocate	VERB
fumecheng-449	99	17	the	the	DET
fumecheng-449	99	18	use	use	NOUN
fumecheng-449	99	19	of	of	ADP
fumecheng-449	99	20	several	several	ADJ
fumecheng-449	99	21	elements	element	NOUN
fumecheng-449	99	22	,	,	PUNCT
fumecheng-449	99	23	diminishing	diminish	VERB
fumecheng-449	99	24	the	the	DET
fumecheng-449	99	25	interest	interest	NOUN
fumecheng-449	99	26	of	of	ADP
fumecheng-449	99	27	p	p	NOUN
fumecheng-449	99	28	-	-	PUNCT
fumecheng-449	99	29	elements	element	NOUN
fumecheng-449	99	30	.	.	PUNCT
fumecheng-449	100	1	shape	shape	NOUN
fumecheng-449	100	2	functions	function	NOUN
fumecheng-449	100	3	f1	f1	PROPN
fumecheng-449	100	4	d	d	PROPN
fumecheng-449	100	5	and	and	CCONJ
fumecheng-449	100	6	f2	f2	PROPN
fumecheng-449	100	7	d	d	AUX
fumecheng-449	100	8	provide	provide	VERB
fumecheng-449	100	9	an	an	DET
fumecheng-449	100	10	answer	answer	NOUN
fumecheng-449	100	11	to	to	ADP
fumecheng-449	100	12	this	this	DET
fumecheng-449	100	13	disadvantage	disadvantage	NOUN
fumecheng-449	100	14	of	of	ADP
fumecheng-449	100	15	the	the	DET
fumecheng-449	100	16	p	p	ADJ
fumecheng-449	100	17	-	-	PUNCT
fumecheng-449	100	18	version	version	NOUN
fumecheng-449	100	19	approach	approach	NOUN
fumecheng-449	100	20	.	.	PUNCT
fumecheng-449	101	1	polynomial	polynomial	ADJ
fumecheng-449	101	2	of	of	ADP
fumecheng-449	101	3	types	type	NOUN
fumecheng-449	101	4	f1(ξ	f1(ξ	SYM
fumecheng-449	101	5	)	)	PUNCT
fumecheng-449	101	6	f4(ξ	f4(ξ	NOUN
fumecheng-449	101	7	)	)	PUNCT
fumecheng-449	101	8	represent	represent	VERB
fumecheng-449	101	9	hermit	hermit	ADJ
fumecheng-449	101	10	cubics	cubic	NOUN
fumecheng-449	102	1	[	[	X
fumecheng-449	102	2	18	18	NUM
fumecheng-449	102	3	]	]	PUNCT
fumecheng-449	102	4	.	.	PUNCT
fumecheng-449	103	1	the	the	DET
fumecheng-449	103	2	constitutive	constitutive	ADJ
fumecheng-449	103	3	equation	equation	NOUN
fumecheng-449	103	4	of	of	ADP
fumecheng-449	103	5	an	an	DET
fumecheng-449	103	6	isotropic	isotropic	ADJ
fumecheng-449	103	7	beam	beam	NOUN
fumecheng-449	103	8	is	be	AUX
fumecheng-449	103	9	:	:	PUNCT
fumecheng-449	103	10	0	0	NUM
fumecheng-449	103	11	0	0	NUM
fumecheng-449	104	1	x	x	SYM
fumecheng-449	104	2	x	x	SYM
fumecheng-449	104	3	xz	xz	PROPN
fumecheng-449	104	4	xz	xz	PROPN
fumecheng-449	104	5	e	e	PROPN
fumecheng-449	104	6	g	g	PROPN
fumecheng-449	104	7			PROPN
fumecheng-449	104	8			PROPN
fumecheng-449	104	9			NOUN
fumecheng-449	104	10			ADJ
fumecheng-449	104	11			NOUN
fumecheng-449	105	1			NUM
fumecheng-449	105	2			ADP
fumecheng-449	105	3			VERB
fumecheng-449	106	1			PUNCT
fumecheng-449	106	2			NOUN
fumecheng-449	106	3			PROPN
fumecheng-449	106	4			PROPN
fumecheng-449	106	5			PROPN
fumecheng-449	106	6			PROPN
fumecheng-449	106	7			VERB
fumecheng-449	106	8			NOUN
fumecheng-449	106	9			VERB
fumecheng-449	107	1			NOUN
fumecheng-449	108	1			NOUN
fumecheng-449	108	2			NUM
fumecheng-449	108	3			PROPN
fumecheng-449	108	4	σ	σ	NUM
fumecheng-449	108	5	dε	dε	VERB
fumecheng-449	108	6	,	,	PUNCT
fumecheng-449	108	7	(	(	PUNCT
fumecheng-449	108	8	10	10	NUM
fumecheng-449	108	9	)	)	PUNCT
fumecheng-449	108	10	where	where	SCONJ
fumecheng-449	108	11	e	e	NOUN
fumecheng-449	108	12	is	be	AUX
fumecheng-449	108	13	the	the	DET
fumecheng-449	108	14	young	young	ADJ
fumecheng-449	108	15	modulus	modulus	NOUN
fumecheng-449	108	16	and	and	CCONJ
fumecheng-449	108	17	g=	g=	NOUN
fumecheng-449	108	18	e/[2(1+ν	e/[2(1+ν	PROPN
fumecheng-449	108	19	)	)	PUNCT
fumecheng-449	108	20	]	]	PUNCT
fumecheng-449	108	21	is	be	AUX
fumecheng-449	108	22	the	the	DET
fumecheng-449	108	23	shear	shear	NOUN
fumecheng-449	108	24	modulus	modulus	NOUN
fumecheng-449	108	25	of	of	ADP
fumecheng-449	108	26	elasticity	elasticity	NOUN
fumecheng-449	108	27	,	,	PUNCT
fumecheng-449	108	28	with	with	ADP
fumecheng-449	108	29	ν	ν	PRON
fumecheng-449	108	30	representing	represent	VERB
fumecheng-449	108	31	poisson	poisson	NOUN
fumecheng-449	108	32	ratio	ratio	NOUN
fumecheng-449	108	33	.	.	PUNCT
fumecheng-449	109	1	in	in	ADP
fumecheng-449	109	2	eq	eq	ADP
fumecheng-449	109	3	.	.	PUNCT
fumecheng-449	110	1	(	(	PUNCT
fumecheng-449	110	2	10	10	NUM
fumecheng-449	110	3	)	)	PUNCT
fumecheng-449	110	4	d	d	NOUN
fumecheng-449	110	5	represents	represent	VERB
fumecheng-449	110	6	matrix	matrix	NOUN
fumecheng-449	110	7	of	of	ADP
fumecheng-449	110	8	elastic	elastic	ADJ
fumecheng-449	110	9	constants	constant	NOUN
fumecheng-449	110	10	,	,	PUNCT
fumecheng-449	110	11	σ	σ	PROPN
fumecheng-449	110	12	and	and	CCONJ
fumecheng-449	110	13	ε	ε	PROPN
fumecheng-449	110	14	,	,	PUNCT
fumecheng-449	110	15	respectively	respectively	ADV
fumecheng-449	110	16	,	,	PUNCT
fumecheng-449	110	17	the	the	DET
fumecheng-449	110	18	non	non	ADJ
fumecheng-449	110	19	-	-	ADJ
fumecheng-449	110	20	zero	zero	ADJ
fumecheng-449	110	21	stresses	stress	NOUN
fumecheng-449	110	22	and	and	CCONJ
fumecheng-449	110	23	the	the	DET
fumecheng-449	110	24	strains	strain	NOUN
fumecheng-449	110	25	in	in	ADP
fumecheng-449	110	26	form	form	NOUN
fumecheng-449	110	27	of	of	ADP
fumecheng-449	110	28	vectors	vector	NOUN
fumecheng-449	110	29	.	.	PUNCT
fumecheng-449	111	1	shear	shear	NOUN
fumecheng-449	111	2	correction	correction	NOUN
fumecheng-449	111	3	factor	factor	NOUN
fumecheng-449	111	4	λ	λ	PROPN
fumecheng-449	111	5	employed	employ	VERB
fumecheng-449	111	6	is	be	AUX
fumecheng-449	111	7	λ=(5	λ=(5	NOUN
fumecheng-449	111	8	+	+	NOUN
fumecheng-449	111	9	5ν)/(6	5ν)/(6	NOUN
fumecheng-449	111	10	+	+	NOUN
fumecheng-449	111	11	5ν	5ν	NUM
fumecheng-449	111	12	)	)	PUNCT
fumecheng-449	111	13	,	,	PUNCT
fumecheng-449	111	14	as	as	SCONJ
fumecheng-449	111	15	given	give	VERB
fumecheng-449	111	16	in	in	ADP
fumecheng-449	111	17	ref	ref	NOUN
fumecheng-449	111	18	.	.	PUNCT
fumecheng-449	112	1	[	[	X
fumecheng-449	112	2	26	26	NUM
fumecheng-449	112	3	]	]	PUNCT
fumecheng-449	112	4	,	,	PUNCT
fumecheng-449	112	5	because	because	SCONJ
fumecheng-449	112	6	of	of	ADP
fumecheng-449	112	7	the	the	DET
fumecheng-449	112	8	good	good	ADJ
fumecheng-449	112	9	agreement	agreement	NOUN
fumecheng-449	112	10	with	with	ADP
fumecheng-449	112	11	the	the	DET
fumecheng-449	112	12	experimentally	experimentally	ADV
fumecheng-449	112	13	obtained	obtain	VERB
fumecheng-449	112	14	results	result	NOUN
fumecheng-449	112	15	[	[	X
fumecheng-449	112	16	27	27	NUM
fumecheng-449	112	17	]	]	PUNCT
fumecheng-449	112	18	.	.	PUNCT
fumecheng-449	113	1	the	the	DET
fumecheng-449	113	2	longitudinal	longitudinal	ADJ
fumecheng-449	113	3	strain	strain	NOUN
fumecheng-449	113	4	is	be	AUX
fumecheng-449	113	5	:	:	PUNCT
fumecheng-449	113	6	0	0	NUM
fumecheng-449	113	7	0	0	NUM
fumecheng-449	113	8	1	1	NUM
fumecheng-449	113	9	     	     	SPACE
fumecheng-449	113	10	0	0	NUM
fumecheng-449	113	11	p	p	X
fumecheng-449	113	12	p	p	X
fumecheng-449	113	13	l	l	NOUN
fumecheng-449	113	14	x	x	X
fumecheng-449	113	15	b	b	PROPN
fumecheng-449	113	16	z	z	PROPN
fumecheng-449	113	17			PROPN
fumecheng-449	113	18			PROPN
fumecheng-449	113	19			PROPN
fumecheng-449	113	20			PROPN
fumecheng-449	113	21			NOUN
fumecheng-449	113	22			PROPN
fumecheng-449	113	23			X
fumecheng-449	113	24			ADV
fumecheng-449	114	1			ADJ
fumecheng-449	114	2			NUM
fumecheng-449	114	3			NUM
fumecheng-449	114	4			NUM
fumecheng-449	114	5			PROPN
fumecheng-449	114	6			VERB
fumecheng-449	114	7			PROPN
fumecheng-449	114	8			PROPN
fumecheng-449	115	1			NUM
fumecheng-449	115	2			NOUN
fumecheng-449	116	1			NOUN
fumecheng-449	116	2			PROPN
fumecheng-449	116	3			PROPN
fumecheng-449	116	4			PROPN
fumecheng-449	116	5			PROPN
fumecheng-449	116	6			PROPN
fumecheng-449	116	7			NUM
fumecheng-449	116	8			PROPN
fumecheng-449	116	9			NOUN
fumecheng-449	116	10			PROPN
fumecheng-449	116	11			NOUN
fumecheng-449	116	12	,	,	PUNCT
fumecheng-449	116	13	(	(	PUNCT
fumecheng-449	116	14	11	11	NUM
fumecheng-449	116	15	)	)	PUNCT
fumecheng-449	116	16	modes	mode	NOUN
fumecheng-449	116	17	of	of	ADP
fumecheng-449	116	18	vibration	vibration	NOUN
fumecheng-449	116	19	of	of	ADP
fumecheng-449	116	20	beams	beam	NOUN
fumecheng-449	116	21	under	under	ADP
fumecheng-449	116	22	the	the	DET
fumecheng-449	116	23	influence	influence	NOUN
fumecheng-449	116	24	of	of	ADP
fumecheng-449	116	25	variable	variable	ADJ
fumecheng-449	116	26	discontinuity	discontinuity	NOUN
fumecheng-449	116	27	in	in	ADP
fumecheng-449	116	28	foundation	foundation	NOUN
fumecheng-449	116	29	293	293	NUM
fumecheng-449	116	30	where	where	SCONJ
fumecheng-449	116	31	ε0	ε0	PROPN
fumecheng-449	116	32	p	p	NOUN
fumecheng-449	116	33	and	and	CCONJ
fumecheng-449	116	34	zε0	zε0	PROPN
fumecheng-449	116	35	b	b	PROPN
fumecheng-449	116	36	represent	represent	ADJ
fumecheng-449	116	37	longitudinal	longitudinal	ADJ
fumecheng-449	116	38	and	and	CCONJ
fumecheng-449	116	39	bending	bend	VERB
fumecheng-449	116	40	strains	strain	NOUN
fumecheng-449	116	41	,	,	PUNCT
fumecheng-449	116	42	and	and	CCONJ
fumecheng-449	116	43	εl	εl	ADP
fumecheng-449	116	44	p	p	X
fumecheng-449	116	45	geometrically	geometrically	ADV
fumecheng-449	116	46	non	non	ADJ
fumecheng-449	116	47	-	-	ADJ
fumecheng-449	116	48	linear	linear	ADJ
fumecheng-449	116	49	longitudinal	longitudinal	ADJ
fumecheng-449	116	50	strain	strain	NOUN
fumecheng-449	116	51	.	.	PUNCT
fumecheng-449	117	1	these	these	DET
fumecheng-449	117	2	strains	strain	NOUN
fumecheng-449	117	3	are	be	AUX
fumecheng-449	117	4	:	:	PUNCT
fumecheng-449	117	5	t	t	PROPN
fumecheng-449	117	6	t	t	PROPN
fumecheng-449	117	7	t	t	PROPN
fumecheng-449	117	8	t	t	PROPN
fumecheng-449	117	9	t	t	PROPN
fumecheng-449	117	10	t	t	PROPN
fumecheng-449	117	11	,	,	PUNCT
fumecheng-449	117	12	0	0	NUM
fumecheng-449	117	13	,	,	PUNCT
fumecheng-449	117	14	,	,	PUNCT
fumecheng-449	117	15	,	,	PUNCT
fumecheng-449	117	16	,	,	PUNCT
fumecheng-449	117	17	0	0	NUM
fumecheng-449	117	18	2	2	NUM
fumecheng-449	117	19	2	2	NUM
fumecheng-449	117	20	2	2	NUM
fumecheng-449	117	21	2	2	NUM
fumecheng-449	117	22	2	2	NUM
fumecheng-449	117	23	,	,	PUNCT
fumecheng-449	117	24	,	,	PUNCT
fumecheng-449	117	25	,	,	PUNCT
fumecheng-449	117	26	p	p	PROPN
fumecheng-449	117	27	pu	pu	PROPN
fumecheng-449	117	28	b	b	PROPN
fumecheng-449	117	29	w	w	PROPN
fumecheng-449	117	30	w	w	PROPN
fumecheng-449	117	31	w	w	PROPN
fumecheng-449	117	32	xzl	xzl	PROPN
fumecheng-449	117	33	l	l	NOUN
fumecheng-449	117	34	l	l	NOUN
fumecheng-449	117	35	ll	ll	AUX
fumecheng-449	117	36			VERB
fumecheng-449	117	37			NOUN
fumecheng-449	117	38			VERB
fumecheng-449	117	39			PROPN
fumecheng-449	117	40			PUNCT
fumecheng-449	118	1			PROPN
fumecheng-449	118	2			NUM
fumecheng-449	119	1			NOUN
fumecheng-449	120	1			NOUN
fumecheng-449	120	2			NOUN
fumecheng-449	121	1			NOUN
fumecheng-449	121	2			INTJ
fumecheng-449	122	1			PROPN
fumecheng-449	122	2			PROPN
fumecheng-449	122	3			X
fumecheng-449	123	1			X
fumecheng-449	123	2			NOUN
fumecheng-449	123	3			SYM
fumecheng-449	123	4			VERB
fumecheng-449	123	5			NOUN
fumecheng-449	123	6			NUM
fumecheng-449	123	7			PROPN
fumecheng-449	123	8			PROPN
fumecheng-449	123	9			NUM
fumecheng-449	123	10	w	w	NOUN
fumecheng-449	123	11	u	u	PROPN
fumecheng-449	123	12	θ	θ	PROPN
fumecheng-449	123	13	w	w	PROPN
fumecheng-449	123	14	w	w	PROPN
fumecheng-449	123	15	θ	θ	PROPN
fumecheng-449	123	16	q	q	PROPN
fumecheng-449	123	17	n	n	PROPN
fumecheng-449	123	18	q	q	NOUN
fumecheng-449	123	19	n	n	CCONJ
fumecheng-449	123	20	q	q	NOUN
fumecheng-449	123	21	q	q	PROPN
fumecheng-449	123	22	n	n	CCONJ
fumecheng-449	123	23	n	n	CCONJ
fumecheng-449	123	24	q	q	NOUN
fumecheng-449	123	25	n	n	CCONJ
fumecheng-449	123	26	n	n	PRON
fumecheng-449	123	27	q	q	NOUN
fumecheng-449	123	28	.	.	PUNCT
fumecheng-449	124	1	(	(	PUNCT
fumecheng-449	124	2	12	12	X
fumecheng-449	124	3	)	)	PUNCT
fumecheng-449	124	4	integrating	integrate	VERB
fumecheng-449	124	5	the	the	DET
fumecheng-449	124	6	normal	normal	ADJ
fumecheng-449	124	7	stress	stress	NOUN
fumecheng-449	124	8	,	,	PUNCT
fumecheng-449	124	9	the	the	DET
fumecheng-449	124	10	shear	shear	NOUN
fumecheng-449	124	11	stress	stress	NOUN
fumecheng-449	124	12	and	and	CCONJ
fumecheng-449	124	13	the	the	DET
fumecheng-449	124	14	moment	moment	NOUN
fumecheng-449	124	15	of	of	ADP
fumecheng-449	124	16	the	the	DET
fumecheng-449	124	17	normal	normal	ADJ
fumecheng-449	124	18	stress	stress	NOUN
fumecheng-449	124	19	we	we	PRON
fumecheng-449	124	20	obtain	obtain	VERB
fumecheng-449	124	21	:	:	PUNCT
fumecheng-449	124	22	0	0	NUM
fumecheng-449	124	23	0	0	NUM
fumecheng-449	124	24	,	,	PUNCT
fumecheng-449	124	25	  	  	SPACE
fumecheng-449	124	26	2(1	2(1	NUM
fumecheng-449	124	27	)	)	PUNCT
fumecheng-449	124	28	0	0	PUNCT
fumecheng-449	125	1	p	p	X
fumecheng-449	125	2	p	p	X
fumecheng-449	125	3	l	l	NOUN
fumecheng-449	125	4	x	x	X
fumecheng-449	125	5	xzb	xzb	PROPN
fumecheng-449	125	6	t	t	PROPN
fumecheng-449	125	7	a	a	DET
fumecheng-449	125	8	b	b	PROPN
fumecheng-449	125	9	eh	eh	INTJ
fumecheng-449	125	10	q	q	PROPN
fumecheng-449	125	11	m	m	PROPN
fumecheng-449	125	12	b	b	PROPN
fumecheng-449	125	13	d	d	X
fumecheng-449	125	14			PROPN
fumecheng-449	125	15			VERB
fumecheng-449	125	16			ADP
fumecheng-449	125	17			NOUN
fumecheng-449	125	18			NOUN
fumecheng-449	125	19			NOUN
fumecheng-449	125	20			X
fumecheng-449	125	21			ADP
fumecheng-449	125	22			NOUN
fumecheng-449	126	1			X
fumecheng-449	126	2			NUM
fumecheng-449	126	3			NOUN
fumecheng-449	127	1			NUM
fumecheng-449	127	2			NUM
fumecheng-449	127	3			NUM
fumecheng-449	127	4			NUM
fumecheng-449	127	5			PROPN
fumecheng-449	127	6			NOUN
fumecheng-449	127	7			ADV
fumecheng-449	127	8			PROPN
fumecheng-449	127	9			INTJ
fumecheng-449	128	1			NUM
fumecheng-449	128	2			NUM
fumecheng-449	128	3			PROPN
fumecheng-449	128	4			VERB
fumecheng-449	128	5			NOUN
fumecheng-449	128	6			PROPN
fumecheng-449	128	7			PROPN
fumecheng-449	128	8			NOUN
fumecheng-449	128	9			PROPN
fumecheng-449	128	10			PROPN
fumecheng-449	128	11			VERB
fumecheng-449	128	12			PROPN
fumecheng-449	128	13			NUM
fumecheng-449	128	14			NUM
fumecheng-449	128	15			PROPN
fumecheng-449	128	16			NOUN
fumecheng-449	128	17			PROPN
fumecheng-449	128	18			NOUN
fumecheng-449	128	19	,	,	PUNCT
fumecheng-449	128	20	(	(	PUNCT
fumecheng-449	128	21	13	13	NUM
fumecheng-449	128	22	)	)	PUNCT
fumecheng-449	129	1	where	where	SCONJ
fumecheng-449	129	2	:	:	PUNCT
fumecheng-449	129	3	3	3	NUM
fumecheng-449	129	4	2	2	NUM
fumecheng-449	129	5	,	,	PUNCT
fumecheng-449	129	6	,	,	PUNCT
fumecheng-449	129	7	(	(	PUNCT
fumecheng-449	129	8	1	1	NUM
fumecheng-449	129	9	,	,	PUNCT
fumecheng-449	129	10	  	  	SPACE
fumecheng-449	129	11	,	,	PUNCT
fumecheng-449	129	12	  	  	SPACE
fumecheng-449	129	13	)	)	PUNCT
fumecheng-449	129	14	 	 	SPACE
fumecheng-449	129	15	dz	dz	PROPN
fumecheng-449	129	16	,	,	PUNCT
fumecheng-449	129	17	0	0	NUM
fumecheng-449	129	18	,	,	PUNCT
fumecheng-449	129	19	12	12	NUM
fumecheng-449	129	20	z	z	NOUN
fumecheng-449	129	21	eh	eh	INTJ
fumecheng-449	129	22	a	a	DET
fumecheng-449	129	23	b	b	PROPN
fumecheng-449	130	1	d	d	NOUN
fumecheng-449	130	2	z	z	NOUN
fumecheng-449	130	3	z	z	NOUN
fumecheng-449	130	4	e	e	NOUN
fumecheng-449	130	5	a	a	DET
fumecheng-449	130	6	eh	eh	INTJ
fumecheng-449	130	7	b	b	PROPN
fumecheng-449	130	8	d	d	PROPN
fumecheng-449	130	9			PROPN
fumecheng-449	131	1			PROPN
fumecheng-449	131	2			NUM
fumecheng-449	131	3			PROPN
fumecheng-449	131	4	.	.	PUNCT
fumecheng-449	132	1	(	(	PUNCT
fumecheng-449	132	2	14	14	NUM
fumecheng-449	132	3	)	)	PUNCT
fumecheng-449	132	4	the	the	DET
fumecheng-449	132	5	equations	equation	NOUN
fumecheng-449	132	6	of	of	ADP
fumecheng-449	132	7	motion	motion	NOUN
fumecheng-449	132	8	are	be	AUX
fumecheng-449	132	9	achieved	achieve	VERB
fumecheng-449	132	10	by	by	ADP
fumecheng-449	132	11	the	the	DET
fumecheng-449	132	12	principle	principle	NOUN
fumecheng-449	132	13	of	of	ADP
fumecheng-449	132	14	virtual	virtual	ADJ
fumecheng-449	132	15	work	work	NOUN
fumecheng-449	132	16	,	,	PUNCT
fumecheng-449	132	17	according	accord	VERB
fumecheng-449	132	18	to	to	ADP
fumecheng-449	132	19	which	which	PRON
fumecheng-449	132	20	:	:	PUNCT
fumecheng-449	132	21	0	0	NUM
fumecheng-449	132	22	in	in	ADP
fumecheng-449	132	23	v	v	NUM
fumecheng-449	132	24	exw	exw	PROPN
fumecheng-449	132	25	w	w	PROPN
fumecheng-449	132	26	w	w	PROPN
fumecheng-449	132	27			PROPN
fumecheng-449	132	28			NUM
fumecheng-449	132	29			ADV
fumecheng-449	132	30			NUM
fumecheng-449	132	31	,	,	PUNCT
fumecheng-449	132	32	(	(	PUNCT
fumecheng-449	132	33	15	15	NUM
fumecheng-449	132	34	)	)	PUNCT
fumecheng-449	132	35	where	where	SCONJ
fumecheng-449	132	36	δwin	δwin	ADJ
fumecheng-449	132	37	,	,	PUNCT
fumecheng-449	132	38	δwv	δwv	NOUN
fumecheng-449	132	39	and	and	CCONJ
fumecheng-449	132	40	δwex	δwex	NOUN
fumecheng-449	132	41	are	be	AUX
fumecheng-449	132	42	,	,	PUNCT
fumecheng-449	132	43	in	in	ADP
fumecheng-449	132	44	this	this	DET
fumecheng-449	132	45	order	order	NOUN
fumecheng-449	132	46	,	,	PUNCT
fumecheng-449	132	47	virtual	virtual	ADJ
fumecheng-449	132	48	works	work	NOUN
fumecheng-449	132	49	done	do	VERB
fumecheng-449	132	50	by	by	ADP
fumecheng-449	132	51	inertia	inertia	NOUN
fumecheng-449	132	52	,	,	PUNCT
fumecheng-449	132	53	internal	internal	ADJ
fumecheng-449	132	54	and	and	CCONJ
fumecheng-449	132	55	external	external	ADJ
fumecheng-449	132	56	forces	force	NOUN
fumecheng-449	132	57	due	due	ADP
fumecheng-449	132	58	to	to	ADP
fumecheng-449	132	59	a	a	DET
fumecheng-449	132	60	virtual	virtual	ADJ
fumecheng-449	132	61	displacement	displacement	NOUN
fumecheng-449	132	62	with	with	ADP
fumecheng-449	132	63	components	component	NOUN
fumecheng-449	132	64	δu	δu	ADP
fumecheng-449	132	65	,	,	PUNCT
fumecheng-449	132	66	δw	δw	VERB
fumecheng-449	132	67	and	and	CCONJ
fumecheng-449	132	68	δ.	δ.	VERB
fumecheng-449	132	69	these	these	DET
fumecheng-449	132	70	components	component	NOUN
fumecheng-449	132	71	form	form	VERB
fumecheng-449	132	72	vector	vector	NOUN
fumecheng-449	132	73	δd	δd	NOUN
fumecheng-449	132	74	,	,	PUNCT
fumecheng-449	132	75	as	as	SCONJ
fumecheng-449	132	76	follows	follow	VERB
fumecheng-449	132	77	:	:	PUNCT
fumecheng-449	132	78	  	  	SPACE
fumecheng-449	132	79	u	u	NOUN
fumecheng-449	132	80	w	w	NOUN
fumecheng-449	132	81			NOUN
fumecheng-449	132	82			ADP
fumecheng-449	133	1			NUM
fumecheng-449	133	2			NUM
fumecheng-449	133	3			NOUN
fumecheng-449	133	4			PROPN
fumecheng-449	133	5			INTJ
fumecheng-449	134	1			NUM
fumecheng-449	134	2			NUM
fumecheng-449	134	3			NUM
fumecheng-449	134	4			PROPN
fumecheng-449	135	1			NUM
fumecheng-449	135	2			NUM
fumecheng-449	135	3			NUM
fumecheng-449	135	4			NUM
fumecheng-449	135	5			NOUN
fumecheng-449	135	6	d	d	PRON
fumecheng-449	135	7	n	n	PRON
fumecheng-449	135	8	q	q	NOUN
fumecheng-449	135	9	.	.	PUNCT
fumecheng-449	136	1	(	(	PUNCT
fumecheng-449	136	2	16	16	NUM
fumecheng-449	136	3	)	)	PUNCT
fumecheng-449	136	4	the	the	DET
fumecheng-449	136	5	virtual	virtual	ADJ
fumecheng-449	136	6	work	work	NOUN
fumecheng-449	136	7	of	of	ADP
fumecheng-449	136	8	internal	internal	ADJ
fumecheng-449	136	9	forces	force	NOUN
fumecheng-449	136	10	is	be	AUX
fumecheng-449	136	11	:	:	PUNCT
fumecheng-449	137	1	t	t	PROPN
fumecheng-449	137	2	t	t	PROPN
fumecheng-449	137	3	0	0	NUM
fumecheng-449	137	4	0	0	NUM
fumecheng-449	137	5	t	t	NOUN
fumecheng-449	137	6	t	t	NOUN
fumecheng-449	137	7	0	0	NUM
fumecheng-449	137	8	0	0	NUM
fumecheng-449	138	1	d	d	X
fumecheng-449	138	2	dx	dx	PROPN
fumecheng-449	138	3	(	(	PUNCT
fumecheng-449	138	4	)	)	PUNCT
fumecheng-449	138	5	0	0	NUM
fumecheng-449	138	6	0	0	NUM
fumecheng-449	139	1	p	p	NOUN
fumecheng-449	139	2	pp	pp	ADP
fumecheng-449	139	3	p	p	PROPN
fumecheng-449	139	4	l	l	NOUN
fumecheng-449	139	5	l	l	NOUN
fumecheng-449	139	6	v	v	PROPN
fumecheng-449	139	7	b	b	PROPN
fumecheng-449	139	8	b	b	PROPN
fumecheng-449	139	9	v	v	ADP
fumecheng-449	139	10	l	l	NOUN
fumecheng-449	139	11	a	a	PRON
fumecheng-449	139	12	b	b	PROPN
fumecheng-449	139	13	w	w	PROPN
fumecheng-449	139	14	v	v	PROPN
fumecheng-449	139	15	b	b	PROPN
fumecheng-449	139	16	b	b	PROPN
fumecheng-449	140	1	d	d	PROPN
fumecheng-449	140	2			NOUN
fumecheng-449	140	3			INTJ
fumecheng-449	140	4			PROPN
fumecheng-449	140	5			NUM
fumecheng-449	140	6			PROPN
fumecheng-449	140	7			NUM
fumecheng-449	140	8			ADJ
fumecheng-449	140	9			PROPN
fumecheng-449	140	10			NOUN
fumecheng-449	140	11			PROPN
fumecheng-449	140	12			NOUN
fumecheng-449	140	13			PROPN
fumecheng-449	140	14			X
fumecheng-449	140	15			ADP
fumecheng-449	140	16			NOUN
fumecheng-449	141	1			NUM
fumecheng-449	141	2			NOUN
fumecheng-449	141	3			AUX
fumecheng-449	142	1			NOUN
fumecheng-449	142	2			NUM
fumecheng-449	142	3			NUM
fumecheng-449	142	4			NUM
fumecheng-449	142	5			NUM
fumecheng-449	142	6			NUM
fumecheng-449	142	7			NUM
fumecheng-449	142	8			NUM
fumecheng-449	142	9			PROPN
fumecheng-449	142	10			PROPN
fumecheng-449	142	11			VERB
fumecheng-449	142	12			PROPN
fumecheng-449	142	13			PROPN
fumecheng-449	142	14			PROPN
fumecheng-449	142	15			PUNCT
fumecheng-449	142	16			X
fumecheng-449	142	17			PROPN
fumecheng-449	142	18			PROPN
fumecheng-449	143	1			NUM
fumecheng-449	143	2			NOUN
fumecheng-449	144	1			NUM
fumecheng-449	144	2			NUM
fumecheng-449	144	3			PROPN
fumecheng-449	144	4			VERB
fumecheng-449	144	5			NOUN
fumecheng-449	145	1			PROPN
fumecheng-449	145	2			PROPN
fumecheng-449	145	3			PUNCT
fumecheng-449	146	1			NUM
fumecheng-449	146	2			NUM
fumecheng-449	146	3			NUM
fumecheng-449	146	4			ADV
fumecheng-449	146	5			VERB
fumecheng-449	146	6			NOUN
fumecheng-449	146	7			NUM
fumecheng-449	146	8			NUM
fumecheng-449	146	9			PROPN
fumecheng-449	146	10			PROPN
fumecheng-449	147	1			PROPN
fumecheng-449	147	2			NOUN
fumecheng-449	147	3			X
fumecheng-449	148	1			PROPN
fumecheng-449	148	2			PROPN
fumecheng-449	148	3			NOUN
fumecheng-449	148	4			NOUN
fumecheng-449	148	5			PUNCT
fumecheng-449	148	6	ε	ε	PROPN
fumecheng-449	149	1	σ	σ	INTJ
fumecheng-449	149	2	q	q	X
fumecheng-449	150	1	k	k	X
fumecheng-449	150	2	q	q	X
fumecheng-449	150	3	q	q	X
fumecheng-449	150	4	,	,	PUNCT
fumecheng-449	150	5	(	(	PUNCT
fumecheng-449	150	6	17	17	NUM
fumecheng-449	150	7	)	)	PUNCT
fumecheng-449	150	8	and	and	CCONJ
fumecheng-449	150	9	the	the	DET
fumecheng-449	150	10	virtual	virtual	ADJ
fumecheng-449	150	11	work	work	NOUN
fumecheng-449	150	12	of	of	ADP
fumecheng-449	150	13	the	the	DET
fumecheng-449	150	14	inertia	inertia	NOUN
fumecheng-449	150	15	forces	force	NOUN
fumecheng-449	150	16	is	be	AUX
fumecheng-449	150	17	:	:	PUNCT
fumecheng-449	150	18	t	t	PROPN
fumecheng-449	150	19	din	din	VERB
fumecheng-449	150	20	v	v	PROPN
fumecheng-449	150	21	w	w	PROPN
fumecheng-449	150	22	v	v	PROPN
fumecheng-449	150	23			NOUN
fumecheng-449	150	24			NOUN
fumecheng-449	150	25			PROPN
fumecheng-449	150	26	d	d	PROPN
fumecheng-449	150	27	d	d	PROPN
fumecheng-449	150	28	/	/	SYM
fumecheng-449	150	29	2	2	NUM
fumecheng-449	150	30	/	/	SYM
fumecheng-449	150	31	2	2	NUM
fumecheng-449	150	32	t	t	NOUN
fumecheng-449	150	33	/	/	SYM
fumecheng-449	150	34	2	2	NUM
fumecheng-449	150	35	/	/	SYM
fumecheng-449	150	36	2	2	NUM
fumecheng-449	150	37	(	(	PUNCT
fumecheng-449	150	38	)	)	PUNCT
fumecheng-449	150	39	 	 	SPACE
fumecheng-449	150	40	dx	dx	PROPN
fumecheng-449	150	41	 	 	SPACE
fumecheng-449	150	42	dz	dz	PROPN
fumecheng-449	150	43	h	h	PROPN
fumecheng-449	150	44	l	l	NOUN
fumecheng-449	150	45	h	h	NOUN
fumecheng-449	151	1	l	l	NOUN
fumecheng-449	151	2	b	b	X
fumecheng-449	151	3	uu	uu	PRON
fumecheng-449	151	4	ww	ww	NOUN
fumecheng-449	151	5			NUM
fumecheng-449	151	6			NUM
fumecheng-449	151	7			NUM
fumecheng-449	151	8			PROPN
fumecheng-449	151	9			PROPN
fumecheng-449	151	10			PROPN
fumecheng-449	151	11			PUNCT
fumecheng-449	151	12			PROPN
fumecheng-449	151	13			PUNCT
fumecheng-449	151	14	q	q	PROPN
fumecheng-449	151	15	mq	mq	PROPN
fumecheng-449	151	16	,	,	PUNCT
fumecheng-449	151	17	(	(	PUNCT
fumecheng-449	151	18	18	18	NUM
fumecheng-449	151	19	)	)	PUNCT
fumecheng-449	151	20	where	where	SCONJ
fumecheng-449	151	21	ρ	ρ	PROPN
fumecheng-449	151	22	is	be	AUX
fumecheng-449	151	23	the	the	DET
fumecheng-449	151	24	mass	mass	NOUN
fumecheng-449	151	25	per	per	ADP
fumecheng-449	151	26	unit	unit	NOUN
fumecheng-449	151	27	volume	volume	NOUN
fumecheng-449	151	28	,	,	PUNCT
fumecheng-449	151	29	m	m	VERB
fumecheng-449	151	30	the	the	DET
fumecheng-449	151	31	mass	mass	ADJ
fumecheng-449	151	32	matrix	matrix	NOUN
fumecheng-449	151	33	and	and	CCONJ
fumecheng-449	151	34	 	 	SPACE
fumecheng-449	151	35	d	d	NOUN
fumecheng-449	152	1	=	=	NOUN
fumecheng-449	152	2	d	d	PROPN
fumecheng-449	152	3	2	2	NUM
fumecheng-449	152	4	d	d	NOUN
fumecheng-449	152	5	/	/	SYM
fumecheng-449	152	6	dt	dt	NOUN
fumecheng-449	152	7	2	2	NUM
fumecheng-449	152	8	.	.	PUNCT
fumecheng-449	153	1	the	the	DET
fumecheng-449	153	2	virtual	virtual	ADJ
fumecheng-449	153	3	work	work	NOUN
fumecheng-449	153	4	of	of	ADP
fumecheng-449	153	5	external	external	ADJ
fumecheng-449	153	6	forces	force	NOUN
fumecheng-449	153	7	is	be	AUX
fumecheng-449	153	8	given	give	VERB
fumecheng-449	153	9	by	by	ADP
fumecheng-449	153	10	:	:	PUNCT
fumecheng-449	153	11	2	2	NUM
fumecheng-449	153	12	2	2	NUM
fumecheng-449	153	13	(	(	PUNCT
fumecheng-449	153	14	,	,	PUNCT
fumecheng-449	153	15	)	)	PUNCT
fumecheng-449	153	16	(	(	PUNCT
fumecheng-449	153	17	)	)	PUNCT
fumecheng-449	153	18	(	(	PUNCT
fumecheng-449	153	19	)	)	PUNCT
fumecheng-449	153	20	(	(	PUNCT
fumecheng-449	153	21	,	,	PUNCT
fumecheng-449	153	22	)	)	PUNCT
fumecheng-449	153	23	(	(	PUNCT
fumecheng-449	153	24	,	,	PUNCT
fumecheng-449	153	25	)	)	PUNCT
fumecheng-449	153	26	(	(	PUNCT
fumecheng-449	153	27	,	,	PUNCT
fumecheng-449	153	28	)	)	PUNCT
fumecheng-449	153	29	(	(	PUNCT
fumecheng-449	153	30	,	,	PUNCT
fumecheng-449	153	31	)	)	PUNCT
fumecheng-449	153	32	[	[	PUNCT
fumecheng-449	153	33	(	(	PUNCT
fumecheng-449	153	34	)	)	PUNCT
fumecheng-449	153	35	(	(	PUNCT
fumecheng-449	153	36	)	)	PUNCT
fumecheng-449	153	37	(	(	PUNCT
fumecheng-449	153	38	,	,	PUNCT
fumecheng-449	153	39	)	)	PUNCT
fumecheng-449	153	40	]	]	PUNCT
fumecheng-449	153	41	(	(	PUNCT
fumecheng-449	153	42	,	,	PUNCT
fumecheng-449	153	43	)	)	PUNCT
fumecheng-449	153	44	[	[	PUNCT
fumecheng-449	153	45	(	(	PUNCT
fumecheng-449	153	46	)	)	PUNCT
fumecheng-449	153	47	(	(	PUNCT
fumecheng-449	153	48	)	)	PUNCT
fumecheng-449	153	49	(	(	PUNCT
fumecheng-449	153	50	,	,	PUNCT
fumecheng-449	153	51	)	)	PUNCT
fumecheng-449	153	52	]	]	PUNCT
fumecheng-449	154	1	(	(	PUNCT
fumecheng-449	154	2	,	,	PUNCT
fumecheng-449	154	3	)	)	PUNCT
fumecheng-449	154	4	{	{	PUNCT
fumecheng-449	154	5	}	}	PUNCT
fumecheng-449	154	6	j	j	PROPN
fumecheng-449	155	1	d	d	X
fumecheng-449	155	2	ex	ex	PROPN
fumecheng-449	155	3	w	w	PROPN
fumecheng-449	155	4	j	j	PROPN
fumecheng-449	155	5	w	w	PROPN
fumecheng-449	155	6	w	w	PROPN
fumecheng-449	155	7	p	p	PROPN
fumecheng-449	155	8	l	l	PROPN
fumecheng-449	155	9	j	j	PROPN
fumecheng-449	155	10	d	d	X
fumecheng-449	155	11	j	j	PROPN
fumecheng-449	155	12	d	d	X
fumecheng-449	155	13	u	u	NOUN
fumecheng-449	155	14	j	j	PROPN
fumecheng-449	155	15	u	u	X
fumecheng-449	155	16	j	j	PROPN
fumecheng-449	155	17	t	t	PROPN
fumecheng-449	155	18	u	u	PROPN
fumecheng-449	155	19	w	w	PROPN
fumecheng-449	155	20	w	w	PROPN
fumecheng-449	155	21	x	x	PROPN
fumecheng-449	155	22	t	t	PROPN
fumecheng-449	155	23	w	w	PROPN
fumecheng-449	155	24	p	p	PROPN
fumecheng-449	155	25	t	t	PROPN
fumecheng-449	155	26	x	x	PUNCT
fumecheng-449	156	1	x	x	X
fumecheng-449	156	2	p	p	X
fumecheng-449	156	3	x	x	X
fumecheng-449	156	4	t	t	X
fumecheng-449	156	5	k	k	PROPN
fumecheng-449	156	6	w	w	PROPN
fumecheng-449	156	7	x	x	SYM
fumecheng-449	156	8	t	t	PROPN
fumecheng-449	156	9	w	w	PROPN
fumecheng-449	156	10	x	x	PROPN
fumecheng-449	156	11	t	t	PROPN
fumecheng-449	156	12	k	k	PROPN
fumecheng-449	156	13	w	w	PROPN
fumecheng-449	156	14	x	x	SYM
fumecheng-449	156	15	t	t	NOUN
fumecheng-449	156	16	x	x	X
fumecheng-449	156	17	p	p	X
fumecheng-449	156	18	t	t	NOUN
fumecheng-449	156	19	x	x	PUNCT
fumecheng-449	157	1	x	x	X
fumecheng-449	157	2	p	p	X
fumecheng-449	157	3	x	x	X
fumecheng-449	157	4	t	t	X
fumecheng-449	157	5	u	u	X
fumecheng-449	157	6	x	x	PROPN
fumecheng-449	157	7	t	t	PROPN
fumecheng-449	157	8	m	m	PROPN
fumecheng-449	157	9	t	t	NOUN
fumecheng-449	157	10	x	x	PUNCT
fumecheng-449	157	11	x	x	X
fumecheng-449	157	12	m	m	VERB
fumecheng-449	157	13	x	x	SYM
fumecheng-449	157	14	t	t	NOUN
fumecheng-449	157	15	x	x	X
fumecheng-449	157	16	t	t	PROPN
fumecheng-449	157	17	q	q	X
fumecheng-449	157	18	q	q	PUNCT
fumecheng-449	157	19	q	q	VERB
fumecheng-449	157	20			NUM
fumecheng-449	157	21			NUM
fumecheng-449	157	22			NUM
fumecheng-449	157	23			NUM
fumecheng-449	157	24			NUM
fumecheng-449	157	25			NUM
fumecheng-449	157	26			NUM
fumecheng-449	157	27			NOUN
fumecheng-449	157	28			NUM
fumecheng-449	157	29			NUM
fumecheng-449	157	30			NUM
fumecheng-449	157	31			PROPN
fumecheng-449	157	32			PROPN
fumecheng-449	157	33			PROPN
fumecheng-449	157	34			ADV
fumecheng-449	157	35			PROPN
fumecheng-449	157	36			VERB
fumecheng-449	157	37			VERB
fumecheng-449	157	38			PROPN
fumecheng-449	157	39			ADJ
fumecheng-449	157	40			PROPN
fumecheng-449	157	41			ADV
fumecheng-449	157	42			PROPN
fumecheng-449	157	43			ADV
fumecheng-449	157	44			PUNCT
fumecheng-449	157	45			PROPN
fumecheng-449	157	46			VERB
fumecheng-449	157	47			ADV
fumecheng-449	158	1			PROPN
fumecheng-449	158	2			NUM
fumecheng-449	158	3			NOUN
fumecheng-449	158	4			NUM
fumecheng-449	158	5			NOUN
fumecheng-449	158	6			NUM
fumecheng-449	158	7			NOUN
fumecheng-449	158	8			NUM
fumecheng-449	158	9			NUM
fumecheng-449	158	10			NUM
fumecheng-449	158	11			NUM
fumecheng-449	158	12			PROPN
fumecheng-449	158	13			NUM
fumecheng-449	158	14			PROPN
fumecheng-449	158	15			PROPN
fumecheng-449	159	1			PROPN
fumecheng-449	159	2			PROPN
fumecheng-449	159	3			PUNCT
fumecheng-449	159	4	e	e	X
fumecheng-449	159	5	u	u	NOUN
fumecheng-449	159	6	e	e	PROPN
fumecheng-449	159	7	w	w	PROPN
fumecheng-449	159	8	e	e	PROPN
fumecheng-449	159	9	f	f	PROPN
fumecheng-449	159	10	f	f	PROPN
fumecheng-449	159	11	m	m	PROPN
fumecheng-449	159	12	(	(	PUNCT
fumecheng-449	159	13	19	19	NUM
fumecheng-449	159	14	)	)	PUNCT
fumecheng-449	159	15	294	294	NUM
fumecheng-449	159	16	v.	v.	ADP
fumecheng-449	159	17	stojanović	stojanović	PROPN
fumecheng-449	159	18	,	,	PUNCT
fumecheng-449	159	19	p.	p.	PROPN
fumecheng-449	159	20	ribeiro	ribeiro	PROPN
fumecheng-449	159	21	where	where	SCONJ
fumecheng-449	159	22	{	{	PUNCT
fumecheng-449	159	23	fu	fu	NOUN
fumecheng-449	159	24	e	e	PROPN
fumecheng-449	159	25	(	(	PUNCT
fumecheng-449	159	26	t	t	PROPN
fumecheng-449	159	27	)	)	PUNCT
fumecheng-449	159	28	,	,	PUNCT
fumecheng-449	159	29	fw	fw	PROPN
fumecheng-449	159	30	e	e	PROPN
fumecheng-449	159	31	(	(	PUNCT
fumecheng-449	159	32	t	t	PROPN
fumecheng-449	159	33	)	)	PUNCT
fumecheng-449	159	34	,	,	PUNCT
fumecheng-449	159	35	m	m	VERB
fumecheng-449	159	36	e	e	X
fumecheng-449	159	37	(	(	PUNCT
fumecheng-449	159	38	t	t	PROPN
fumecheng-449	159	39	)	)	PUNCT
fumecheng-449	159	40	}	}	PUNCT
fumecheng-449	159	41	represents	represent	VERB
fumecheng-449	159	42	the	the	DET
fumecheng-449	159	43	vector	vector	NOUN
fumecheng-449	159	44	of	of	ADP
fumecheng-449	159	45	generalized	generalized	ADJ
fumecheng-449	159	46	external	external	ADJ
fumecheng-449	159	47	forces	force	NOUN
fumecheng-449	159	48	and	and	CCONJ
fumecheng-449	159	49	δ(xxj	δ(xxj	NOUN
fumecheng-449	159	50	)	)	PUNCT
fumecheng-449	159	51	represents	represent	VERB
fumecheng-449	159	52	dirac	dirac	NOUN
fumecheng-449	159	53	delta	delta	NOUN
fumecheng-449	159	54	function	function	NOUN
fumecheng-449	159	55	.	.	PUNCT
fumecheng-449	160	1	p	p	X
fumecheng-449	160	2	j	j	PROPN
fumecheng-449	160	3	(	(	PUNCT
fumecheng-449	160	4	t	t	PROPN
fumecheng-449	160	5	)	)	PUNCT
fumecheng-449	160	6	and	and	CCONJ
fumecheng-449	160	7	m	m	PROPN
fumecheng-449	160	8	j	j	PROPN
fumecheng-449	160	9	(	(	PUNCT
fumecheng-449	160	10	t	t	PROPN
fumecheng-449	160	11	)	)	PUNCT
fumecheng-449	160	12	are	be	AUX
fumecheng-449	160	13	concentrated	concentrated	ADJ
fumecheng-449	160	14	forces	force	NOUN
fumecheng-449	160	15	or	or	CCONJ
fumecheng-449	160	16	moments	moment	NOUN
fumecheng-449	160	17	acting	act	VERB
fumecheng-449	160	18	at	at	ADP
fumecheng-449	160	19	point	point	NOUN
fumecheng-449	160	20	x	x	X
fumecheng-449	160	21	=	=	NOUN
fumecheng-449	160	22	xj	xj	NOUN
fumecheng-449	160	23	,	,	PUNCT
fumecheng-449	160	24	p	p	PROPN
fumecheng-449	160	25	d	d	X
fumecheng-449	160	26	(	(	PUNCT
fumecheng-449	160	27	t	t	PROPN
fumecheng-449	160	28	)	)	PUNCT
fumecheng-449	160	29	and	and	CCONJ
fumecheng-449	160	30	m	m	AUX
fumecheng-449	160	31	d	d	X
fumecheng-449	160	32	(	(	PUNCT
fumecheng-449	160	33	t	t	NOUN
fumecheng-449	160	34	)	)	PUNCT
fumecheng-449	160	35	are	be	AUX
fumecheng-449	160	36	distributed	distribute	VERB
fumecheng-449	160	37	forces	force	NOUN
fumecheng-449	160	38	or	or	CCONJ
fumecheng-449	160	39	moments	moment	NOUN
fumecheng-449	160	40	.	.	PUNCT
fumecheng-449	161	1	in	in	ADP
fumecheng-449	161	2	the	the	DET
fumecheng-449	161	3	eq	eq	NOUN
fumecheng-449	161	4	.	.	PUNCT
fumecheng-449	161	5	(	(	PUNCT
fumecheng-449	161	6	19	19	NUM
fumecheng-449	161	7	)	)	PUNCT
fumecheng-449	161	8	kw	kw	PROPN
fumecheng-449	161	9	and	and	CCONJ
fumecheng-449	161	10	kp	kp	PROPN
fumecheng-449	161	11	represent	represent	VERB
fumecheng-449	161	12	,	,	PUNCT
fumecheng-449	161	13	respectively	respectively	ADV
fumecheng-449	161	14	,	,	PUNCT
fumecheng-449	161	15	the	the	DET
fumecheng-449	161	16	winkler	winkler	NOUN
fumecheng-449	161	17	and	and	CCONJ
fumecheng-449	161	18	pasternak	pasternak	PROPN
fumecheng-449	161	19	stiffness	stiffness	NOUN
fumecheng-449	161	20	and	and	CCONJ
fumecheng-449	161	21	shear	shear	PROPN
fumecheng-449	161	22	foundation	foundation	PROPN
fumecheng-449	161	23	moduli	modulus	NOUN
fumecheng-449	161	24	.	.	PUNCT
fumecheng-449	162	1	using	use	VERB
fumecheng-449	162	2	the	the	DET
fumecheng-449	162	3	virtual	virtual	ADJ
fumecheng-449	162	4	work	work	NOUN
fumecheng-449	162	5	principle	principle	NOUN
fumecheng-449	162	6	,	,	PUNCT
fumecheng-449	162	7	including	include	VERB
fumecheng-449	162	8	the	the	DET
fumecheng-449	162	9	foundation	foundation	NOUN
fumecheng-449	162	10	effect	effect	NOUN
fumecheng-449	162	11	,	,	PUNCT
fumecheng-449	162	12	the	the	DET
fumecheng-449	162	13	following	follow	VERB
fumecheng-449	162	14	equations	equation	NOUN
fumecheng-449	162	15	of	of	ADP
fumecheng-449	162	16	motion	motion	NOUN
fumecheng-449	162	17	are	be	AUX
fumecheng-449	162	18	obtained	obtain	VERB
fumecheng-449	162	19	:	:	PUNCT
fumecheng-449	162	20			NOUN
fumecheng-449	162	21			PROPN
fumecheng-449	162	22			NOUN
fumecheng-449	162	23			PUNCT
fumecheng-449	162	24			NOUN
fumecheng-449	162	25			PUNCT
fumecheng-449	162	26	11	11	NUM
fumecheng-449	162	27	12	12	NUM
fumecheng-449	162	28	21	21	NUM
fumecheng-449	162	29	22	22	NUM
fumecheng-449	162	30	2	2	NUM
fumecheng-449	162	31	3	3	NUM
fumecheng-449	162	32	4	4	NUM
fumecheng-449	162	33	0	0	NUM
fumecheng-449	162	34	00	00	NUM
fumecheng-449	162	35	0	0	NUM
fumecheng-449	162	36	0	0	NUM
fumecheng-449	162	37	0	0	NUM
fumecheng-449	162	38	0	0	NUM
fumecheng-449	162	39	0	0	NUM
fumecheng-449	162	40	0	0	NUM
fumecheng-449	162	41	0	0	NUM
fumecheng-449	162	42	0	0	NUM
fumecheng-449	162	43	0	0	NUM
fumecheng-449	162	44	0	0	NUM
fumecheng-449	162	45	0	0	NUM
fumecheng-449	162	46	0	0	NUM
fumecheng-449	162	47	0	0	NUM
fumecheng-449	162	48	ll	ll	PROPN
fumecheng-449	163	1	b	b	PROPN
fumecheng-449	163	2	w	w	NOUN
fumecheng-449	163	3	p	p	NOUN
fumecheng-449	163	4	r	r	NOUN
fumecheng-449	163	5	b	b	PROPN
fumecheng-449	163	6	n	n	CCONJ
fumecheng-449	163	7	n	n	CCONJ
fumecheng-449	163	8	n	n	PROPN
fumecheng-449	163	9			NUM
fumecheng-449	163	10			NUM
fumecheng-449	163	11			NUM
fumecheng-449	163	12			NUM
fumecheng-449	164	1			PROPN
fumecheng-449	164	2			ADJ
fumecheng-449	164	3			NOUN
fumecheng-449	164	4			ADV
fumecheng-449	165	1			NOUN
fumecheng-449	165	2			NOUN
fumecheng-449	166	1			ADP
fumecheng-449	166	2			NOUN
fumecheng-449	166	3			NOUN
fumecheng-449	166	4			NOUN
fumecheng-449	166	5			NUM
fumecheng-449	166	6			NUM
fumecheng-449	166	7			NUM
fumecheng-449	166	8			NUM
fumecheng-449	166	9			NOUN
fumecheng-449	166	10			NOUN
fumecheng-449	166	11			X
fumecheng-449	166	12			NOUN
fumecheng-449	166	13			PROPN
fumecheng-449	166	14			PROPN
fumecheng-449	167	1			NUM
fumecheng-449	167	2			NOUN
fumecheng-449	167	3			NUM
fumecheng-449	167	4			NOUN
fumecheng-449	167	5			NOUN
fumecheng-449	167	6			NOUN
fumecheng-449	167	7			NOUN
fumecheng-449	167	8			NUM
fumecheng-449	167	9			NUM
fumecheng-449	167	10			NUM
fumecheng-449	167	11			NUM
fumecheng-449	167	12			ADV
fumecheng-449	167	13			PROPN
fumecheng-449	167	14			PROPN
fumecheng-449	167	15			PUNCT
fumecheng-449	167	16			PROPN
fumecheng-449	167	17			PROPN
fumecheng-449	167	18			PROPN
fumecheng-449	167	19			VERB
fumecheng-449	167	20			PROPN
fumecheng-449	167	21			PROPN
fumecheng-449	167	22			NOUN
fumecheng-449	167	23			ADP
fumecheng-449	167	24			NOUN
fumecheng-449	168	1			X
fumecheng-449	168	2			NOUN
fumecheng-449	168	3			NOUN
fumecheng-449	168	4			NUM
fumecheng-449	168	5			NUM
fumecheng-449	168	6			NUM
fumecheng-449	168	7			NUM
fumecheng-449	168	8			NUM
fumecheng-449	168	9			ADV
fumecheng-449	168	10			ADJ
fumecheng-449	168	11			NOUN
fumecheng-449	169	1			NUM
fumecheng-449	169	2			NOUN
fumecheng-449	170	1			NUM
fumecheng-449	170	2			NOUN
fumecheng-449	170	3			NOUN
fumecheng-449	170	4			NOUN
fumecheng-449	170	5			NUM
fumecheng-449	170	6			NUM
fumecheng-449	170	7			NUM
fumecheng-449	170	8			PRON
fumecheng-449	171	1			PROPN
fumecheng-449	171	2			PUNCT
fumecheng-449	171	3			NOUN
fumecheng-449	171	4			NUM
fumecheng-449	171	5			PROPN
fumecheng-449	171	6			PROPN
fumecheng-449	171	7			PROPN
fumecheng-449	171	8			PROPN
fumecheng-449	171	9	u	u	PROPN
fumecheng-449	171	10	u	u	PROPN
fumecheng-449	171	11	w	w	PROPN
fumecheng-449	171	12	w	w	PROPN
fumecheng-449	171	13	θ	θ	PROPN
fumecheng-449	171	14	θ	θ	X
fumecheng-449	171	15	e	e	X
fumecheng-449	171	16	w	w	NOUN
fumecheng-449	171	17	uu	uu	ADP
fumecheng-449	171	18	e	e	PROPN
fumecheng-449	171	19	w	w	PROPN
fumecheng-449	171	20	w	w	PROPN
fumecheng-449	171	21	w	w	PROPN
fumecheng-449	171	22	w	w	PROPN
fumecheng-449	171	23	e	e	PROPN
fumecheng-449	171	24	θ	θ	PROPN
fumecheng-449	171	25	km	km	X
fumecheng-449	171	26	q	q	NOUN
fumecheng-449	171	27	q	q	NOUN
fumecheng-449	171	28	m	m	VERB
fumecheng-449	171	29	q	q	NOUN
fumecheng-449	172	1	k	k	PROPN
fumecheng-449	172	2	k	k	PROPN
fumecheng-449	173	1	k	k	PROPN
fumecheng-449	173	2	k	k	X
fumecheng-449	173	3	q	q	X
fumecheng-449	174	1	q	q	X
fumecheng-449	174	2	qm	qm	PROPN
fumecheng-449	175	1	k	k	PROPN
fumecheng-449	175	2	k	k	PROPN
fumecheng-449	176	1	k	k	PROPN
fumecheng-449	176	2	k	k	X
fumecheng-449	176	3	q	q	X
fumecheng-449	177	1	fq	fq	PROPN
fumecheng-449	177	2	k	k	PROPN
fumecheng-449	177	3	q	q	PROPN
fumecheng-449	178	1	k	k	X
fumecheng-449	178	2	q	q	X
fumecheng-449	178	3	q	q	X
fumecheng-449	179	1	f	f	X
fumecheng-449	179	2	q	q	NOUN
fumecheng-449	179	3	m	m	NOUN
fumecheng-449	179	4	(	(	PUNCT
fumecheng-449	179	5	20	20	NUM
fumecheng-449	179	6	)	)	PUNCT
fumecheng-449	179	7	matrices	matrix	NOUN
fumecheng-449	179	8	of	of	ADP
fumecheng-449	179	9	type	type	NOUN
fumecheng-449	179	10	m	m	PROPN
fumecheng-449	179	11	and	and	CCONJ
fumecheng-449	179	12	k	k	PROPN
fumecheng-449	179	13	are	be	AUX
fumecheng-449	179	14	constant	constant	ADJ
fumecheng-449	179	15	matrices	matrix	NOUN
fumecheng-449	179	16	that	that	PRON
fumecheng-449	179	17	originate	originate	VERB
fumecheng-449	179	18	linear	linear	ADJ
fumecheng-449	179	19	terms	term	NOUN
fumecheng-449	179	20	in	in	ADP
fumecheng-449	179	21	the	the	DET
fumecheng-449	179	22	equations	equation	NOUN
fumecheng-449	179	23	of	of	ADP
fumecheng-449	179	24	motion	motion	NOUN
fumecheng-449	179	25	,	,	PUNCT
fumecheng-449	179	26	of	of	ADP
fumecheng-449	179	27	the	the	DET
fumecheng-449	179	28	latter	latter	ADJ
fumecheng-449	179	29	type	type	NOUN
fumecheng-449	179	30	,	,	PUNCT
fumecheng-449	179	31	matrices	matrice	VERB
fumecheng-449	179	32	k	k	PROPN
fumecheng-449	179	33	w	w	PROPN
fumecheng-449	179	34	and	and	CCONJ
fumecheng-449	179	35	k	k	PROPN
fumecheng-449	179	36	p	p	PROPN
fumecheng-449	179	37	represent	represent	VERB
fumecheng-449	179	38	linear	linear	ADJ
fumecheng-449	179	39	influences	influence	NOUN
fumecheng-449	179	40	of	of	ADP
fumecheng-449	179	41	the	the	DET
fumecheng-449	179	42	foundation	foundation	NOUN
fumecheng-449	179	43	with	with	ADP
fumecheng-449	179	44	discontinuity	discontinuity	NOUN
fumecheng-449	179	45	and	and	CCONJ
fumecheng-449	179	46	are	be	AUX
fumecheng-449	179	47	not	not	PART
fumecheng-449	179	48	introduced	introduce	VERB
fumecheng-449	179	49	in	in	ADP
fumecheng-449	179	50	[	[	X
fumecheng-449	179	51	22	22	NUM
fumecheng-449	179	52	]	]	PUNCT
fumecheng-449	179	53	.	.	PUNCT
fumecheng-449	180	1	the	the	DET
fumecheng-449	180	2	matrices	matrix	NOUN
fumecheng-449	180	3	that	that	PRON
fumecheng-449	180	4	depend	depend	VERB
fumecheng-449	180	5	on	on	ADP
fumecheng-449	180	6	wq	wq	PROPN
fumecheng-449	180	7	(	(	PUNCT
fumecheng-449	180	8	t	t	PROPN
fumecheng-449	180	9	)	)	PUNCT
fumecheng-449	180	10	kn	kn	NOUN
fumecheng-449	180	11	2	2	NUM
fumecheng-449	180	12	,	,	PUNCT
fumecheng-449	180	13	kn	kn	PROPN
fumecheng-449	180	14	3	3	NUM
fumecheng-449	180	15	and	and	CCONJ
fumecheng-449	180	16	matrix	matrix	NOUN
fumecheng-449	180	17	kn	kn	PROPN
fumecheng-449	180	18	4	4	NUM
fumecheng-449	180	19	–	–	PUNCT
fumecheng-449	180	20	lead	lead	NOUN
fumecheng-449	180	21	to	to	ADP
fumecheng-449	180	22	non	non	ADJ
fumecheng-449	180	23	-	-	ADJ
fumecheng-449	180	24	linear	linear	ADJ
fumecheng-449	180	25	terms	term	NOUN
fumecheng-449	180	26	.	.	PUNCT
fumecheng-449	181	1	the	the	DET
fumecheng-449	181	2	superscripts	superscripts	PROPN
fumecheng-449	181	3	l	l	PROPN
fumecheng-449	181	4	,	,	PUNCT
fumecheng-449	181	5	b	b	NOUN
fumecheng-449	181	6	,	,	PUNCT
fumecheng-449	181	7	r	r	NOUN
fumecheng-449	181	8	and	and	CCONJ
fumecheng-449	181	9	γ	γ	NOUN
fumecheng-449	181	10	represent	represent	VERB
fumecheng-449	181	11	,	,	PUNCT
fumecheng-449	181	12	respectively	respectively	ADV
fumecheng-449	181	13	,	,	PUNCT
fumecheng-449	181	14	longitudinal	longitudinal	ADJ
fumecheng-449	181	15	,	,	PUNCT
fumecheng-449	181	16	bending	bending	NOUN
fumecheng-449	181	17	,	,	PUNCT
fumecheng-449	181	18	cross	cross	NOUN
fumecheng-449	181	19	section	section	NOUN
fumecheng-449	181	20	rotation	rotation	NOUN
fumecheng-449	181	21	and	and	CCONJ
fumecheng-449	181	22	shear	shear	NOUN
fumecheng-449	181	23	effects	effect	NOUN
fumecheng-449	181	24	.	.	PUNCT
fumecheng-449	182	1	adding	add	VERB
fumecheng-449	182	2	rayleigh	rayleigh	ADJ
fumecheng-449	182	3	-	-	PUNCT
fumecheng-449	182	4	type	type	NOUN
fumecheng-449	182	5	damping	damping	NOUN
fumecheng-449	182	6	,	,	PUNCT
fumecheng-449	182	7	with	with	ADP
fumecheng-449	182	8	damping	damp	VERB
fumecheng-449	182	9	coefficients	coefficient	NOUN
fumecheng-449	182	10	αr	αr	ADP
fumecheng-449	182	11	and	and	CCONJ
fumecheng-449	182	12	βr	βr	INTJ
fumecheng-449	182	13	,	,	PUNCT
fumecheng-449	182	14	one	one	NOUN
fumecheng-449	182	15	obtains	obtain	VERB
fumecheng-449	182	16	the	the	DET
fumecheng-449	182	17	equations	equation	NOUN
fumecheng-449	182	18	of	of	ADP
fumecheng-449	182	19	motion	motion	NOUN
fumecheng-449	182	20	(	(	PUNCT
fumecheng-449	182	21	in	in	ADP
fumecheng-449	182	22	a	a	DET
fumecheng-449	182	23	more	more	ADV
fumecheng-449	182	24	condensed	condensed	ADJ
fumecheng-449	182	25	notation	notation	NOUN
fumecheng-449	182	26	)	)	PUNCT
fumecheng-449	182	27	:	:	PUNCT
fumecheng-449	182	28	n	n	CCONJ
fumecheng-449	182	29	(	(	PUNCT
fumecheng-449	182	30	)	)	PUNCT
fumecheng-449	182	31	(	(	PUNCT
fumecheng-449	182	32	)	)	PUNCT
fumecheng-449	182	33	(	(	PUNCT
fumecheng-449	182	34	)	)	PUNCT
fumecheng-449	182	35	(	(	PUNCT
fumecheng-449	182	36	)	)	PUNCT
fumecheng-449	182	37	(	(	PUNCT
fumecheng-449	182	38	(	(	PUNCT
fumecheng-449	182	39	)	)	PUNCT
fumecheng-449	182	40	)	)	PUNCT
fumecheng-449	182	41	(	(	PUNCT
fumecheng-449	182	42	)	)	PUNCT
fumecheng-449	182	43	(	(	PUNCT
fumecheng-449	182	44	)	)	PUNCT
fumecheng-449	182	45	(	(	PUNCT
fumecheng-449	182	46	)	)	PUNCT
fumecheng-449	182	47	(	(	PUNCT
fumecheng-449	182	48	)	)	PUNCT
fumecheng-449	182	49	r	r	NOUN
fumecheng-449	182	50	rt	rt	PROPN
fumecheng-449	182	51	t	t	PROPN
fumecheng-449	182	52	t	t	PROPN
fumecheng-449	182	53	t	t	PROPN
fumecheng-449	182	54	t	t	PROPN
fumecheng-449	182	55	t	t	PROPN
fumecheng-449	182	56			PROPN
fumecheng-449	182	57			PROPN
fumecheng-449	182	58			PROPN
fumecheng-449	182	59			PUNCT
fumecheng-449	182	60	mq	mq	NOUN
fumecheng-449	182	61	k	k	X
fumecheng-449	182	62	q	q	X
fumecheng-449	183	1	m	m	VERB
fumecheng-449	183	2	q	q	X
fumecheng-449	184	1	k	k	X
fumecheng-449	184	2	k	k	X
fumecheng-449	184	3	q	q	X
fumecheng-449	184	4	q	q	X
fumecheng-449	184	5	f	f	X
fumecheng-449	184	6	.	.	PUNCT
fumecheng-449	185	1	(	(	PUNCT
fumecheng-449	185	2	21	21	NUM
fumecheng-449	185	3	)	)	PUNCT
fumecheng-449	185	4	the	the	DET
fumecheng-449	185	5	mass	mass	ADJ
fumecheng-449	185	6	and	and	CCONJ
fumecheng-449	185	7	stiffness	stiffness	ADJ
fumecheng-449	185	8	matrices	matrix	NOUN
fumecheng-449	185	9	have	have	VERB
fumecheng-449	185	10	the	the	DET
fumecheng-449	185	11	following	follow	VERB
fumecheng-449	185	12	forms	form	NOUN
fumecheng-449	185	13	:	:	PUNCT
fumecheng-449	185	14	2	2	NUM
fumecheng-449	185	15	1	1	NUM
fumecheng-449	185	16	1	1	NUM
fumecheng-449	185	17	1	1	NUM
fumecheng-449	185	18	t	t	NOUN
fumecheng-449	185	19	2	2	NUM
fumecheng-449	185	20	2	2	NUM
fumecheng-449	185	21	t	t	NOUN
fumecheng-449	186	1	21	21	NUM
fumecheng-449	186	2	d	d	NOUN
fumecheng-449	186	3	d	d	SYM
fumecheng-449	186	4	2	2	NUM
fumecheng-449	186	5	2	2	NUM
fumecheng-449	186	6	c	c	NOUN
fumecheng-449	186	7	c	c	NOUN
fumecheng-449	186	8	l	l	NOUN
fumecheng-449	186	9	l	l	X
fumecheng-449	186	10	l	l	X
fumecheng-449	186	11	l	l	X
fumecheng-449	186	12	l	l	NOUN
fumecheng-449	187	1	hbl	hbl	NOUN
fumecheng-449	187	2	hbl	hbl	PROPN
fumecheng-449	187	3			PROPN
fumecheng-449	187	4			PRON
fumecheng-449	187	5			VERB
fumecheng-449	187	6			PUNCT
fumecheng-449	187	7			ADP
fumecheng-449	187	8			ADP
fumecheng-449	187	9			PROPN
fumecheng-449	187	10	m	m	PUNCT
fumecheng-449	187	11	n	n	CCONJ
fumecheng-449	187	12	n	n	CCONJ
fumecheng-449	187	13	n	n	CCONJ
fumecheng-449	187	14	n	n	CCONJ
fumecheng-449	187	15	u	u	NOUN
fumecheng-449	187	16	u	u	X
fumecheng-449	187	17	u	u	NOUN
fumecheng-449	187	18	u	u	NOUN
fumecheng-449	187	19	,	,	PUNCT
fumecheng-449	187	20	(	(	PUNCT
fumecheng-449	187	21	22	22	NUM
fumecheng-449	187	22	)	)	SYM
fumecheng-449	187	23	2	2	NUM
fumecheng-449	187	24	1	1	NUM
fumecheng-449	187	25	1	1	NUM
fumecheng-449	187	26	1	1	NUM
fumecheng-449	187	27	t	t	NOUN
fumecheng-449	187	28	2	2	NUM
fumecheng-449	187	29	2	2	NUM
fumecheng-449	187	30	t	t	NOUN
fumecheng-449	187	31	21	21	NUM
fumecheng-449	187	32	d	d	NOUN
fumecheng-449	187	33	d	d	SYM
fumecheng-449	187	34	2	2	NUM
fumecheng-449	187	35	2	2	NUM
fumecheng-449	187	36	c	c	NOUN
fumecheng-449	187	37	c	c	NOUN
fumecheng-449	187	38	l	l	NOUN
fumecheng-449	187	39	l	l	NOUN
fumecheng-449	187	40	b	b	X
fumecheng-449	187	41	l	l	NOUN
fumecheng-449	187	42	l	l	NOUN
fumecheng-449	188	1	hbl	hbl	NOUN
fumecheng-449	188	2	hbl	hbl	PROPN
fumecheng-449	188	3			PROPN
fumecheng-449	188	4			PRON
fumecheng-449	188	5			VERB
fumecheng-449	188	6			PUNCT
fumecheng-449	188	7			ADP
fumecheng-449	188	8			ADP
fumecheng-449	188	9			PROPN
fumecheng-449	188	10	m	m	PUNCT
fumecheng-449	188	11	n	n	CCONJ
fumecheng-449	188	12	n	n	CCONJ
fumecheng-449	188	13	n	n	CCONJ
fumecheng-449	188	14	n	n	PROPN
fumecheng-449	188	15	w	w	PROPN
fumecheng-449	188	16	w	w	PROPN
fumecheng-449	188	17	w	w	PROPN
fumecheng-449	188	18	w	w	PROPN
fumecheng-449	188	19	,	,	PUNCT
fumecheng-449	188	20	(	(	PUNCT
fumecheng-449	188	21	23	23	NUM
fumecheng-449	188	22	)	)	SYM
fumecheng-449	188	23	2	2	NUM
fumecheng-449	188	24	1	1	NUM
fumecheng-449	188	25	1	1	NUM
fumecheng-449	188	26	1	1	NUM
fumecheng-449	188	27	t	t	NOUN
fumecheng-449	188	28	2	2	NUM
fumecheng-449	188	29	2	2	NUM
fumecheng-449	188	30	t	t	NOUN
fumecheng-449	188	31	21	21	NUM
fumecheng-449	188	32	d	d	NOUN
fumecheng-449	188	33	d	d	SYM
fumecheng-449	188	34	2	2	NUM
fumecheng-449	188	35	2	2	NUM
fumecheng-449	188	36	c	c	NOUN
fumecheng-449	188	37	c	c	NOUN
fumecheng-449	188	38	l	l	NOUN
fumecheng-449	188	39	l	l	NOUN
fumecheng-449	188	40	r	r	NOUN
fumecheng-449	188	41	l	l	NOUN
fumecheng-449	188	42	l	l	NOUN
fumecheng-449	188	43	hbl	hbl	NOUN
fumecheng-449	188	44	hbl	hbl	PROPN
fumecheng-449	188	45			PROPN
fumecheng-449	188	46			PRON
fumecheng-449	188	47			PRON
fumecheng-449	188	48			NUM
fumecheng-449	188	49			PUNCT
fumecheng-449	188	50			ADP
fumecheng-449	188	51			ADP
fumecheng-449	188	52			PROPN
fumecheng-449	188	53	m	m	PUNCT
fumecheng-449	188	54	n	n	CCONJ
fumecheng-449	188	55	n	n	CCONJ
fumecheng-449	188	56	n	n	CCONJ
fumecheng-449	188	57	n	n	NOUN
fumecheng-449	188	58	θ	θ	NOUN
fumecheng-449	188	59	θ	θ	NOUN
fumecheng-449	188	60	θ	θ	X
fumecheng-449	188	61	θ	θ	NOUN
fumecheng-449	188	62	,	,	PUNCT
fumecheng-449	188	63	(	(	PUNCT
fumecheng-449	188	64	24	24	NUM
fumecheng-449	188	65	)	)	PUNCT
fumecheng-449	188	66	2	2	NUM
fumecheng-449	188	67	11	11	NUM
fumecheng-449	188	68	1	1	NUM
fumecheng-449	188	69	t	t	NOUN
fumecheng-449	188	70	2	2	NUM
fumecheng-449	188	71	2	2	NUM
fumecheng-449	188	72	t	t	NOUN
fumecheng-449	188	73	21	21	NUM
fumecheng-449	188	74	2	2	NUM
fumecheng-449	188	75	2	2	NUM
fumecheng-449	188	76	d	d	NOUN
fumecheng-449	188	77	d	d	NOUN
fumecheng-449	188	78	c	c	NOUN
fumecheng-449	188	79	c	c	NOUN
fumecheng-449	188	80	l	l	NOUN
fumecheng-449	188	81	l	l	X
fumecheng-449	188	82	l	l	X
fumecheng-449	188	83	l	l	X
fumecheng-449	188	84	l	l	X
fumecheng-449	188	85	ehb	ehb	PROPN
fumecheng-449	189	1	d	d	X
fumecheng-449	189	2	d	d	X
fumecheng-449	189	3	ehb	ehb	PROPN
fumecheng-449	190	1	d	d	NOUN
fumecheng-449	190	2	d	d	X
fumecheng-449	190	3	l	l	NOUN
fumecheng-449	191	1	d	d	X
fumecheng-449	191	2	d	d	X
fumecheng-449	191	3	l	l	NOUN
fumecheng-449	191	4	d	d	X
fumecheng-449	191	5	d	d	X
fumecheng-449	191	6			PROPN
fumecheng-449	191	7			NOUN
fumecheng-449	191	8			NOUN
fumecheng-449	191	9			PUNCT
fumecheng-449	191	10			NOUN
fumecheng-449	191	11			NOUN
fumecheng-449	191	12			NOUN
fumecheng-449	191	13			NOUN
fumecheng-449	191	14			NOUN
fumecheng-449	191	15	n	n	CCONJ
fumecheng-449	191	16	n	n	CCONJ
fumecheng-449	191	17	n	n	CCONJ
fumecheng-449	191	18	n	n	NOUN
fumecheng-449	191	19	k	k	X
fumecheng-449	191	20	u	u	X
fumecheng-449	191	21	u	u	X
fumecheng-449	191	22	u	u	NOUN
fumecheng-449	191	23	u	u	NOUN
fumecheng-449	191	24	,	,	PUNCT
fumecheng-449	191	25	(	(	PUNCT
fumecheng-449	191	26	25	25	NUM
fumecheng-449	191	27	)	)	PUNCT
fumecheng-449	191	28	modes	mode	NOUN
fumecheng-449	191	29	of	of	ADP
fumecheng-449	191	30	vibration	vibration	NOUN
fumecheng-449	191	31	of	of	ADP
fumecheng-449	191	32	beams	beam	NOUN
fumecheng-449	191	33	under	under	ADP
fumecheng-449	191	34	the	the	DET
fumecheng-449	191	35	influence	influence	NOUN
fumecheng-449	191	36	of	of	ADP
fumecheng-449	191	37	variable	variable	ADJ
fumecheng-449	191	38	discontinuity	discontinuity	NOUN
fumecheng-449	191	39	in	in	ADP
fumecheng-449	191	40	foundation	foundation	NOUN
fumecheng-449	191	41	295	295	NUM
fumecheng-449	191	42	1	1	NUM
fumecheng-449	191	43	11	11	NUM
fumecheng-449	191	44	2	2	NUM
fumecheng-449	191	45	11	11	NUM
fumecheng-449	191	46	1	1	NUM
fumecheng-449	191	47	t	t	NOUN
fumecheng-449	191	48	2	2	NUM
fumecheng-449	191	49	2	2	NUM
fumecheng-449	191	50	t	t	NOUN
fumecheng-449	191	51	21	21	NUM
fumecheng-449	191	52	2	2	NUM
fumecheng-449	191	53	2	2	NUM
fumecheng-449	191	54	d	d	NOUN
fumecheng-449	191	55	d	d	NOUN
fumecheng-449	191	56	c	c	NOUN
fumecheng-449	191	57	c	c	NOUN
fumecheng-449	191	58	l	l	NOUN
fumecheng-449	191	59	l	l	X
fumecheng-449	191	60	l	l	X
fumecheng-449	191	61	l	l	NOUN
fumecheng-449	191	62	ghb	ghb	PROPN
fumecheng-449	192	1	d	d	PROPN
fumecheng-449	192	2	d	d	PROPN
fumecheng-449	192	3	ghb	ghb	PROPN
fumecheng-449	193	1	d	d	PROPN
fumecheng-449	193	2	d	d	PROPN
fumecheng-449	193	3	l	l	NOUN
fumecheng-449	194	1	d	d	X
fumecheng-449	194	2	d	d	X
fumecheng-449	194	3	l	l	NOUN
fumecheng-449	194	4	d	d	X
fumecheng-449	194	5	d	d	X
fumecheng-449	194	6			PROPN
fumecheng-449	194	7			NOUN
fumecheng-449	194	8			NUM
fumecheng-449	194	9			NOUN
fumecheng-449	194	10			NUM
fumecheng-449	194	11			ADJ
fumecheng-449	194	12			ADJ
fumecheng-449	194	13			NOUN
fumecheng-449	194	14			NOUN
fumecheng-449	194	15			NOUN
fumecheng-449	194	16			NOUN
fumecheng-449	194	17			PUNCT
fumecheng-449	194	18			NOUN
fumecheng-449	194	19	n	n	CCONJ
fumecheng-449	194	20	n	n	CCONJ
fumecheng-449	194	21	n	n	CCONJ
fumecheng-449	194	22	n	n	ADV
fumecheng-449	194	23	k	k	PROPN
fumecheng-449	194	24	w	w	PROPN
fumecheng-449	194	25	w	w	PROPN
fumecheng-449	194	26	w	w	PROPN
fumecheng-449	194	27	w	w	PROPN
fumecheng-449	194	28	,	,	PUNCT
fumecheng-449	194	29	(	(	PUNCT
fumecheng-449	194	30	26	26	NUM
fumecheng-449	194	31	)	)	PUNCT
fumecheng-449	194	32	12	12	NUM
fumecheng-449	194	33	2	2	NUM
fumecheng-449	194	34	11	11	NUM
fumecheng-449	194	35	2	2	NUM
fumecheng-449	194	36	1	1	NUM
fumecheng-449	194	37	t	t	NOUN
fumecheng-449	194	38	2	2	NUM
fumecheng-449	194	39	t	t	NOUN
fumecheng-449	194	40	21	21	NUM
fumecheng-449	194	41	d	d	NOUN
fumecheng-449	194	42	c	c	NOUN
fumecheng-449	194	43	c	c	NOUN
fumecheng-449	194	44	l	l	NOUN
fumecheng-449	194	45	l	l	X
fumecheng-449	194	46	l	l	X
fumecheng-449	194	47	l	l	PUNCT
fumecheng-449	195	1	d	d	X
fumecheng-449	195	2	d	d	X
fumecheng-449	195	3	ghb	ghb	PROPN
fumecheng-449	195	4	ghb	ghb	PROPN
fumecheng-449	195	5	d	d	PROPN
fumecheng-449	195	6	d	d	PROPN
fumecheng-449	195	7	d	d	X
fumecheng-449	195	8			PROPN
fumecheng-449	195	9			NOUN
fumecheng-449	195	10			NUM
fumecheng-449	195	11			NOUN
fumecheng-449	195	12			NUM
fumecheng-449	195	13			ADJ
fumecheng-449	195	14			NOUN
fumecheng-449	195	15			X
fumecheng-449	195	16			NOUN
fumecheng-449	195	17			PUNCT
fumecheng-449	195	18			NOUN
fumecheng-449	195	19	n	n	CCONJ
fumecheng-449	195	20	n	n	CCONJ
fumecheng-449	195	21	k	k	PROPN
fumecheng-449	195	22	n	n	CCONJ
fumecheng-449	195	23	n	n	PROPN
fumecheng-449	195	24	w	w	PROPN
fumecheng-449	195	25	w	w	PROPN
fumecheng-449	195	26	θ	θ	PROPN
fumecheng-449	195	27	θ	θ	NOUN
fumecheng-449	195	28	,	,	PUNCT
fumecheng-449	195	29	(	(	PUNCT
fumecheng-449	195	30	27	27	NUM
fumecheng-449	195	31	)	)	PUNCT
fumecheng-449	195	32	21	21	NUM
fumecheng-449	195	33	2	2	NUM
fumecheng-449	195	34	11	11	NUM
fumecheng-449	195	35	t	t	NOUN
fumecheng-449	195	36	2	2	NUM
fumecheng-449	195	37	t	t	NOUN
fumecheng-449	195	38	1	1	NUM
fumecheng-449	195	39	2	2	NUM
fumecheng-449	195	40	21	21	NUM
fumecheng-449	195	41	d	d	NOUN
fumecheng-449	195	42	c	c	NOUN
fumecheng-449	195	43	c	c	NOUN
fumecheng-449	195	44	l	l	NOUN
fumecheng-449	195	45	l	l	X
fumecheng-449	196	1	l	l	X
fumecheng-449	196	2	l	l	PUNCT
fumecheng-449	196	3	d	d	X
fumecheng-449	196	4	d	d	X
fumecheng-449	196	5	ghb	ghb	PROPN
fumecheng-449	196	6	d	d	PROPN
fumecheng-449	196	7	ghb	ghb	PROPN
fumecheng-449	196	8	d	d	PROPN
fumecheng-449	196	9	d	d	X
fumecheng-449	196	10			PROPN
fumecheng-449	196	11			NOUN
fumecheng-449	196	12			NUM
fumecheng-449	196	13			NOUN
fumecheng-449	196	14			NUM
fumecheng-449	196	15			ADJ
fumecheng-449	196	16			NOUN
fumecheng-449	196	17			X
fumecheng-449	196	18			NOUN
fumecheng-449	196	19			PUNCT
fumecheng-449	196	20			NOUN
fumecheng-449	196	21	n	n	CCONJ
fumecheng-449	196	22	n	n	CCONJ
fumecheng-449	196	23	k	k	PROPN
fumecheng-449	196	24	n	n	CCONJ
fumecheng-449	196	25	n	n	PROPN
fumecheng-449	196	26	w	w	PROPN
fumecheng-449	196	27	w	w	PROPN
fumecheng-449	196	28	θ	θ	PROPN
fumecheng-449	196	29	θ	θ	NOUN
fumecheng-449	196	30	,	,	PUNCT
fumecheng-449	196	31	(	(	PUNCT
fumecheng-449	196	32	28	28	NUM
fumecheng-449	196	33	)	)	PUNCT
fumecheng-449	196	34	22	22	NUM
fumecheng-449	196	35	2	2	NUM
fumecheng-449	196	36	1	1	NUM
fumecheng-449	196	37	1	1	NUM
fumecheng-449	196	38	t	t	NOUN
fumecheng-449	196	39	1	1	NUM
fumecheng-449	196	40	2	2	NUM
fumecheng-449	196	41	t	t	NOUN
fumecheng-449	196	42	2	2	NUM
fumecheng-449	196	43	21	21	NUM
fumecheng-449	196	44	2	2	NUM
fumecheng-449	196	45	2	2	NUM
fumecheng-449	196	46	d	d	NOUN
fumecheng-449	196	47	d	d	NOUN
fumecheng-449	196	48	c	c	NOUN
fumecheng-449	196	49	c	c	NOUN
fumecheng-449	196	50	l	l	NOUN
fumecheng-449	196	51	l	l	X
fumecheng-449	196	52	l	l	NOUN
fumecheng-449	196	53	l	l	NOUN
fumecheng-449	196	54	ghbl	ghbl	PROPN
fumecheng-449	196	55	ghbl	ghbl	VERB
fumecheng-449	196	56			VERB
fumecheng-449	196	57			PRON
fumecheng-449	196	58			NOUN
fumecheng-449	196	59			NOUN
fumecheng-449	196	60			NUM
fumecheng-449	196	61			ADJ
fumecheng-449	196	62			ADJ
fumecheng-449	196	63			NOUN
fumecheng-449	196	64	k	k	NOUN
fumecheng-449	196	65	n	n	CCONJ
fumecheng-449	196	66	n	n	CCONJ
fumecheng-449	196	67	n	n	CCONJ
fumecheng-449	196	68	n	n	NOUN
fumecheng-449	196	69	θ	θ	NOUN
fumecheng-449	196	70	θ	θ	NOUN
fumecheng-449	196	71	θ	θ	X
fumecheng-449	196	72	θ	θ	NOUN
fumecheng-449	196	73	,	,	PUNCT
fumecheng-449	196	74	(	(	PUNCT
fumecheng-449	196	75	29	29	NUM
fumecheng-449	196	76	)	)	SYM
fumecheng-449	196	77	1	1	NUM
fumecheng-449	196	78	2	2	NUM
fumecheng-449	196	79	2	2	NUM
fumecheng-449	196	80	1	1	NUM
fumecheng-449	196	81	1	1	NUM
fumecheng-449	196	82	1	1	NUM
fumecheng-449	196	83	t	t	NOUN
fumecheng-449	196	84	2	2	NUM
fumecheng-449	196	85	2	2	NUM
fumecheng-449	196	86	t	t	NOUN
fumecheng-449	196	87	21	21	NUM
fumecheng-449	196	88	d	d	NOUN
fumecheng-449	196	89	d	d	SYM
fumecheng-449	196	90	2	2	NUM
fumecheng-449	196	91	2	2	NUM
fumecheng-449	196	92	l	l	NOUN
fumecheng-449	196	93	l	l	NOUN
fumecheng-449	196	94	w	w	PROPN
fumecheng-449	196	95	w	w	PROPN
fumecheng-449	196	96	w	w	PROPN
fumecheng-449	196	97	l	l	PROPN
fumecheng-449	196	98	l	l	NOUN
fumecheng-449	196	99	l	l	NOUN
fumecheng-449	196	100	l	l	NOUN
fumecheng-449	197	1	k	k	X
fumecheng-449	197	2	k	k	PROPN
fumecheng-449	197	3			PROPN
fumecheng-449	197	4			PROPN
fumecheng-449	197	5			NOUN
fumecheng-449	197	6			PUNCT
fumecheng-449	197	7	k	k	NOUN
fumecheng-449	197	8	n	n	CCONJ
fumecheng-449	197	9	n	n	CCONJ
fumecheng-449	197	10	n	n	CCONJ
fumecheng-449	197	11	n	n	PROPN
fumecheng-449	197	12	w	w	PROPN
fumecheng-449	197	13	w	w	PROPN
fumecheng-449	197	14	w	w	PROPN
fumecheng-449	197	15	w	w	PROPN
fumecheng-449	197	16	,	,	PUNCT
fumecheng-449	197	17	(	(	PUNCT
fumecheng-449	197	18	30	30	NUM
fumecheng-449	197	19	)	)	SYM
fumecheng-449	197	20	1	1	NUM
fumecheng-449	197	21	2	2	NUM
fumecheng-449	197	22	2	2	NUM
fumecheng-449	197	23	11	11	NUM
fumecheng-449	197	24	1	1	NUM
fumecheng-449	197	25	t	t	NOUN
fumecheng-449	197	26	2	2	NUM
fumecheng-449	197	27	2	2	NUM
fumecheng-449	197	28	t	t	NOUN
fumecheng-449	197	29	21	21	NUM
fumecheng-449	197	30	2	2	NUM
fumecheng-449	197	31	2	2	NUM
fumecheng-449	197	32	d	d	NOUN
fumecheng-449	197	33	d	d	NOUN
fumecheng-449	197	34	l	l	NOUN
fumecheng-449	197	35	l	l	NOUN
fumecheng-449	198	1	p	p	NOUN
fumecheng-449	198	2	p	p	X
fumecheng-449	198	3	p	p	PROPN
fumecheng-449	198	4	l	l	NOUN
fumecheng-449	198	5	l	l	NOUN
fumecheng-449	199	1	d	d	PUNCT
fumecheng-449	200	1	d	d	X
fumecheng-449	200	2	d	d	X
fumecheng-449	200	3	d	d	X
fumecheng-449	200	4	k	k	PROPN
fumecheng-449	201	1	k	k	PROPN
fumecheng-449	201	2	l	l	PUNCT
fumecheng-449	202	1	d	d	PUNCT
fumecheng-449	203	1	d	d	X
fumecheng-449	203	2	l	l	NOUN
fumecheng-449	203	3	d	d	X
fumecheng-449	203	4	d	d	X
fumecheng-449	203	5			PROPN
fumecheng-449	203	6			NOUN
fumecheng-449	203	7			NOUN
fumecheng-449	203	8			PUNCT
fumecheng-449	203	9			NOUN
fumecheng-449	203	10			NOUN
fumecheng-449	203	11			NOUN
fumecheng-449	203	12			NOUN
fumecheng-449	203	13			NOUN
fumecheng-449	203	14	n	n	CCONJ
fumecheng-449	203	15	n	n	CCONJ
fumecheng-449	203	16	n	n	CCONJ
fumecheng-449	203	17	n	n	ADV
fumecheng-449	203	18	k	k	PROPN
fumecheng-449	203	19	w	w	PROPN
fumecheng-449	203	20	w	w	PROPN
fumecheng-449	203	21	w	w	PROPN
fumecheng-449	203	22	w	w	PROPN
fumecheng-449	203	23	,	,	PUNCT
fumecheng-449	203	24	(	(	PUNCT
fumecheng-449	203	25	31	31	NUM
fumecheng-449	203	26	)	)	SYM
fumecheng-449	203	27	2	2	NUM
fumecheng-449	203	28	t	t	NOUN
fumecheng-449	203	29	t11	t11	NOUN
fumecheng-449	203	30	1	1	NUM
fumecheng-449	203	31	2	2	NUM
fumecheng-449	203	32	2	2	NUM
fumecheng-449	203	33	2	2	NUM
fumecheng-449	203	34	0	0	NUM
fumecheng-449	203	35	0	0	NUM
fumecheng-449	203	36	2	2	NUM
fumecheng-449	203	37	2	2	NUM
fumecheng-449	203	38	21	21	NUM
fumecheng-449	203	39	(	(	PUNCT
fumecheng-449	203	40	)	)	PUNCT
fumecheng-449	203	41	2	2	NUM
fumecheng-449	203	42	2	2	NUM
fumecheng-449	203	43	d	d	NOUN
fumecheng-449	203	44	d	d	NOUN
fumecheng-449	203	45	c	c	NOUN
fumecheng-449	203	46	c	c	NOUN
fumecheng-449	203	47	l	l	NOUN
fumecheng-449	203	48	l	l	NOUN
fumecheng-449	203	49	n	n	ADP
fumecheng-449	203	50	l	l	NOUN
fumecheng-449	203	51	l	l	X
fumecheng-449	203	52	dw	dw	PROPN
fumecheng-449	203	53	dwebh	dwebh	PROPN
fumecheng-449	203	54	d	d	PROPN
fumecheng-449	204	1	d	d	PROPN
fumecheng-449	204	2	ebh	ebh	NOUN
fumecheng-449	204	3	d	d	NOUN
fumecheng-449	204	4	d	d	PROPN
fumecheng-449	204	5	d	d	PROPN
fumecheng-449	204	6	d	d	PROPN
fumecheng-449	204	7	d	d	PROPN
fumecheng-449	204	8	d	d	X
fumecheng-449	204	9	d	d	X
fumecheng-449	204	10	dl	dl	NOUN
fumecheng-449	204	11	l	l	NOUN
fumecheng-449	204	12			NOUN
fumecheng-449	204	13			NOUN
fumecheng-449	204	14			NOUN
fumecheng-449	204	15			NOUN
fumecheng-449	204	16			NOUN
fumecheng-449	204	17			NOUN
fumecheng-449	204	18			NOUN
fumecheng-449	204	19			VERB
fumecheng-449	204	20			NOUN
fumecheng-449	204	21			PRON
fumecheng-449	204	22			NUM
fumecheng-449	204	23	w	w	ADP
fumecheng-449	204	24	n	n	CCONJ
fumecheng-449	204	25	n	n	CCONJ
fumecheng-449	204	26	n	n	CCONJ
fumecheng-449	204	27	n	n	ADV
fumecheng-449	204	28	k	k	NOUN
fumecheng-449	204	29	q	q	PUNCT
fumecheng-449	204	30	u	u	PROPN
fumecheng-449	204	31	w	w	PROPN
fumecheng-449	204	32	u	u	PROPN
fumecheng-449	204	33	w	w	PROPN
fumecheng-449	204	34	,	,	PUNCT
fumecheng-449	204	35	(	(	PUNCT
fumecheng-449	204	36	32	32	NUM
fumecheng-449	204	37	)	)	PUNCT
fumecheng-449	204	38	t3	t3	PROPN
fumecheng-449	204	39	22	22	NUM
fumecheng-449	204	40	(	(	PUNCT
fumecheng-449	204	41	)	)	PUNCT
fumecheng-449	204	42	(	(	PUNCT
fumecheng-449	204	43	)	)	PUNCT
fumecheng-449	204	44	n	n	X
fumecheng-449	204	45	nw	nw	NOUN
fumecheng-449	204	46	wk	wk	INTJ
fumecheng-449	204	47	q	q	PROPN
fumecheng-449	204	48	k	k	PROPN
fumecheng-449	204	49	q	q	X
fumecheng-449	204	50	,	,	PUNCT
fumecheng-449	204	51	(	(	PUNCT
fumecheng-449	204	52	33	33	NUM
fumecheng-449	204	53	)	)	SYM
fumecheng-449	204	54	2	2	NUM
fumecheng-449	204	55	t	t	NOUN
fumecheng-449	204	56	t12	t12	NOUN
fumecheng-449	204	57	21	21	NUM
fumecheng-449	204	58	1	1	NUM
fumecheng-449	204	59	2	2	NUM
fumecheng-449	204	60	2	2	NUM
fumecheng-449	204	61	4	4	NUM
fumecheng-449	204	62	0	0	NUM
fumecheng-449	204	63	0	0	NUM
fumecheng-449	204	64	3	3	NUM
fumecheng-449	204	65	3	3	NUM
fumecheng-449	204	66	21	21	NUM
fumecheng-449	204	67	4	4	NUM
fumecheng-449	204	68	(	(	PUNCT
fumecheng-449	204	69	)	)	PUNCT
fumecheng-449	204	70	4	4	NUM
fumecheng-449	204	71	d	d	NOUN
fumecheng-449	205	1	d	d	NOUN
fumecheng-449	205	2	c	c	NOUN
fumecheng-449	205	3	c	c	NOUN
fumecheng-449	205	4	l	l	NOUN
fumecheng-449	205	5	l	l	NOUN
fumecheng-449	205	6	n	n	ADP
fumecheng-449	205	7	l	l	NOUN
fumecheng-449	205	8	l	l	X
fumecheng-449	205	9	dw	dw	PROPN
fumecheng-449	205	10	dwebh	dwebh	PROPN
fumecheng-449	205	11	d	d	PROPN
fumecheng-449	205	12	d	d	PROPN
fumecheng-449	205	13	ebh	ebh	NOUN
fumecheng-449	206	1	d	d	NOUN
fumecheng-449	206	2	d	d	PROPN
fumecheng-449	206	3	d	d	PROPN
fumecheng-449	206	4	d	d	PROPN
fumecheng-449	206	5	d	d	PROPN
fumecheng-449	206	6	d	d	X
fumecheng-449	206	7	d	d	X
fumecheng-449	206	8	dl	dl	NOUN
fumecheng-449	206	9	l	l	NOUN
fumecheng-449	206	10			NOUN
fumecheng-449	206	11			NOUN
fumecheng-449	206	12			NOUN
fumecheng-449	206	13			NOUN
fumecheng-449	206	14			NOUN
fumecheng-449	206	15			NOUN
fumecheng-449	206	16			NOUN
fumecheng-449	206	17			VERB
fumecheng-449	206	18			PROPN
fumecheng-449	206	19			NOUN
fumecheng-449	206	20			PROPN
fumecheng-449	206	21			NOUN
fumecheng-449	206	22			NOUN
fumecheng-449	206	23			PROPN
fumecheng-449	206	24			PROPN
fumecheng-449	206	25			PROPN
fumecheng-449	206	26			PROPN
fumecheng-449	206	27			PROPN
fumecheng-449	207	1			PROPN
fumecheng-449	207	2			PROPN
fumecheng-449	207	3			PROPN
fumecheng-449	207	4			NOUN
fumecheng-449	207	5			PUNCT
fumecheng-449	207	6	w	w	NUM
fumecheng-449	207	7	n	n	CCONJ
fumecheng-449	207	8	n	n	CCONJ
fumecheng-449	207	9	n	n	CCONJ
fumecheng-449	207	10	n	n	ADV
fumecheng-449	207	11	k	k	NOUN
fumecheng-449	207	12	q	q	PUNCT
fumecheng-449	207	13	w	w	PROPN
fumecheng-449	207	14	w	w	PROPN
fumecheng-449	207	15	w	w	PROPN
fumecheng-449	207	16	w	w	PROPN
fumecheng-449	207	17	,	,	PUNCT
fumecheng-449	207	18	(	(	PUNCT
fumecheng-449	207	19	34	34	NUM
fumecheng-449	207	20	)	)	SYM
fumecheng-449	207	21	2	2	NUM
fumecheng-449	207	22	t	t	NOUN
fumecheng-449	207	23	t11	t11	NOUN
fumecheng-449	207	24	1	1	NUM
fumecheng-449	207	25	2	2	NUM
fumecheng-449	207	26	2	2	NUM
fumecheng-449	207	27	2	2	NUM
fumecheng-449	207	28	0	0	NUM
fumecheng-449	207	29	0	0	NUM
fumecheng-449	207	30	2	2	NUM
fumecheng-449	207	31	2	2	NUM
fumecheng-449	207	32	21	21	NUM
fumecheng-449	207	33	(	(	PUNCT
fumecheng-449	207	34	)	)	PUNCT
fumecheng-449	207	35	2	2	NUM
fumecheng-449	207	36	2	2	NUM
fumecheng-449	207	37	d	d	NOUN
fumecheng-449	207	38	d	d	NOUN
fumecheng-449	207	39	c	c	NOUN
fumecheng-449	207	40	c	c	NOUN
fumecheng-449	207	41	l	l	NOUN
fumecheng-449	207	42	l	l	NOUN
fumecheng-449	207	43	n	n	ADP
fumecheng-449	207	44	l	l	NOUN
fumecheng-449	207	45	l	l	X
fumecheng-449	207	46	dw	dw	PROPN
fumecheng-449	208	1	dwebh	dwebh	PROPN
fumecheng-449	208	2	d	d	PROPN
fumecheng-449	208	3	d	d	PROPN
fumecheng-449	208	4	ebh	ebh	NOUN
fumecheng-449	209	1	d	d	NOUN
fumecheng-449	209	2	d	d	PROPN
fumecheng-449	209	3	d	d	PROPN
fumecheng-449	209	4	d	d	PROPN
fumecheng-449	209	5	d	d	PROPN
fumecheng-449	209	6	d	d	X
fumecheng-449	209	7	d	d	X
fumecheng-449	209	8	dl	dl	NOUN
fumecheng-449	209	9	l	l	NOUN
fumecheng-449	209	10			NOUN
fumecheng-449	209	11			NOUN
fumecheng-449	209	12			NOUN
fumecheng-449	209	13			NOUN
fumecheng-449	209	14			NOUN
fumecheng-449	209	15			NOUN
fumecheng-449	209	16			NOUN
fumecheng-449	209	17			VERB
fumecheng-449	209	18			NOUN
fumecheng-449	209	19			PRON
fumecheng-449	209	20			NUM
fumecheng-449	209	21	w	w	ADP
fumecheng-449	209	22	n	n	CCONJ
fumecheng-449	209	23	n	n	CCONJ
fumecheng-449	209	24	n	n	CCONJ
fumecheng-449	209	25	n	n	ADV
fumecheng-449	209	26	k	k	NOUN
fumecheng-449	209	27	q	q	PUNCT
fumecheng-449	209	28	u	u	PROPN
fumecheng-449	209	29	w	w	PROPN
fumecheng-449	209	30	u	u	PROPN
fumecheng-449	209	31	w	w	PROPN
fumecheng-449	209	32	,	,	PUNCT
fumecheng-449	209	33	(	(	PUNCT
fumecheng-449	209	34	35	35	NUM
fumecheng-449	209	35	)	)	PUNCT
fumecheng-449	209	36	where	where	SCONJ
fumecheng-449	209	37	lc=(l1+l2)/2	lc=(l1+l2)/2	PROPN
fumecheng-449	209	38	.	.	PROPN
fumecheng-449	210	1	3	3	NUM
fumecheng-449	210	2	.	.	NOUN
fumecheng-449	210	3	natural	natural	ADJ
fumecheng-449	210	4	frequencies	frequency	NOUN
fumecheng-449	210	5	and	and	CCONJ
fumecheng-449	210	6	mode	mode	NOUN
fumecheng-449	210	7	shapes	shape	VERB
fumecheng-449	210	8	the	the	DET
fumecheng-449	210	9	p	p	NOUN
fumecheng-449	210	10	-	-	PUNCT
fumecheng-449	210	11	fem	fem	NOUN
fumecheng-449	210	12	will	will	AUX
fumecheng-449	210	13	be	be	AUX
fumecheng-449	210	14	applied	apply	VERB
fumecheng-449	210	15	to	to	PART
fumecheng-449	210	16	derive	derive	VERB
fumecheng-449	210	17	a	a	DET
fumecheng-449	210	18	model	model	NOUN
fumecheng-449	210	19	for	for	ADP
fumecheng-449	210	20	a	a	DET
fumecheng-449	210	21	clamped	clamp	VERB
fumecheng-449	210	22	-	-	PUNCT
fumecheng-449	210	23	clamped	clamp	VERB
fumecheng-449	210	24	beam	beam	NOUN
fumecheng-449	210	25	with	with	ADP
fumecheng-449	210	26	geometric	geometric	ADJ
fumecheng-449	210	27	and	and	CCONJ
fumecheng-449	210	28	material	material	NOUN
fumecheng-449	210	29	properties	property	NOUN
fumecheng-449	210	30	based	base	VERB
fumecheng-449	210	31	on	on	ADP
fumecheng-449	210	32	an	an	DET
fumecheng-449	210	33	example	example	NOUN
fumecheng-449	210	34	from	from	ADP
fumecheng-449	210	35	ref	ref	NOUN
fumecheng-449	210	36	.	.	PUNCT
fumecheng-449	211	1	[	[	X
fumecheng-449	211	2	3	3	NUM
fumecheng-449	211	3	]	]	PUNCT
fumecheng-449	211	4	.	.	PUNCT
fumecheng-449	212	1	used	use	VERB
fumecheng-449	212	2	data	datum	NOUN
fumecheng-449	212	3	about	about	ADP
fumecheng-449	212	4	the	the	DET
fumecheng-449	212	5	296	296	NUM
fumecheng-449	212	6	v.	v.	ADP
fumecheng-449	212	7	stojanović	stojanović	NOUN
fumecheng-449	212	8	,	,	PUNCT
fumecheng-449	212	9	p.	p.	PROPN
fumecheng-449	212	10	ribeiro	ribeiro	PROPN
fumecheng-449	212	11	beam	beam	PROPN
fumecheng-449	212	12	are	be	AUX
fumecheng-449	212	13	:	:	PUNCT
fumecheng-449	212	14	l=10	l=10	NOUN
fumecheng-449	212	15	m	m	PRON
fumecheng-449	212	16	,	,	PUNCT
fumecheng-449	212	17	e=210gpa	e=210gpa	NOUN
fumecheng-449	212	18	,	,	PUNCT
fumecheng-449	212	19	g=77gpa	g=77gpa	NOUN
fumecheng-449	212	20	,	,	PUNCT
fumecheng-449	212	21	i=30.55	i=30.55	PROPN
fumecheng-449	212	22	*	*	SYM
fumecheng-449	212	23	10	10	NUM
fumecheng-449	212	24	-6	-6	NOUN
fumecheng-449	212	25	m	m	NOUN
fumecheng-449	212	26	4	4	NUM
fumecheng-449	212	27	,	,	PUNCT
fumecheng-449	212	28	a=30.55	a=30.55	NOUN
fumecheng-449	212	29	*	*	SYM
fumecheng-449	212	30	10	10	NUM
fumecheng-449	212	31	-6	-6	NOUN
fumecheng-449	212	32	m	m	NOUN
fumecheng-449	212	33	2	2	NUM
fumecheng-449	212	34	,	,	PUNCT
fumecheng-449	212	35	ρ=7850kg	ρ=7850kg	PUNCT
fumecheng-449	212	36	/	/	SYM
fumecheng-449	212	37	m	m	NOUN
fumecheng-449	212	38	3	3	NUM
fumecheng-449	212	39	,	,	PUNCT
fumecheng-449	212	40	kw1=20mpa	kw1=20mpa	PROPN
fumecheng-449	212	41	,	,	PUNCT
fumecheng-449	212	42	kp1=69kn	kp1=69kn	PROPN
fumecheng-449	212	43	,	,	PUNCT
fumecheng-449	212	44	kw2=35mpa	kw2=35mpa	PROPN
fumecheng-449	212	45	,	,	PUNCT
fumecheng-449	212	46	kp2=200kn	kp2=200kn	NOUN
fumecheng-449	212	47	.	.	PUNCT
fumecheng-449	213	1	fig	fig	NOUN
fumecheng-449	213	2	.	.	PUNCT
fumecheng-449	214	1	2	2	NUM
fumecheng-449	214	2	timoshenko	timoshenko	NOUN
fumecheng-449	214	3	beam	beam	NOUN
fumecheng-449	214	4	supported	support	VERB
fumecheng-449	214	5	by	by	ADP
fumecheng-449	214	6	the	the	DET
fumecheng-449	214	7	elastic	elastic	ADJ
fumecheng-449	214	8	foundation	foundation	NOUN
fumecheng-449	214	9	without	without	ADP
fumecheng-449	214	10	discontinuity	discontinuity	NOUN
fumecheng-449	214	11	(	(	PUNCT
fumecheng-449	214	12	case	case	NOUN
fumecheng-449	214	13	1	1	NUM
fumecheng-449	214	14	)	)	PUNCT
fumecheng-449	214	15	fig	fig	NOUN
fumecheng-449	214	16	.	.	PUNCT
fumecheng-449	215	1	3	3	NUM
fumecheng-449	215	2	timoshenko	timoshenko	NOUN
fumecheng-449	215	3	beam	beam	NOUN
fumecheng-449	215	4	supported	support	VERB
fumecheng-449	215	5	by	by	ADP
fumecheng-449	215	6	the	the	DET
fumecheng-449	215	7	elastic	elastic	ADJ
fumecheng-449	215	8	foundation	foundation	NOUN
fumecheng-449	215	9	with	with	ADP
fumecheng-449	215	10	discontinuity	discontinuity	NOUN
fumecheng-449	215	11	l1=1.67	l1=1.67	NOUN
fumecheng-449	215	12	m	m	PROPN
fumecheng-449	215	13	,	,	PUNCT
fumecheng-449	215	14	l2=1.85	l2=1.85	PROPN
fumecheng-449	215	15	m	m	PROPN
fumecheng-449	215	16	(	(	PUNCT
fumecheng-449	215	17	case	case	NOUN
fumecheng-449	215	18	2	2	NUM
fumecheng-449	215	19	)	)	PUNCT
fumecheng-449	215	20	four	four	NUM
fumecheng-449	215	21	cases	case	NOUN
fumecheng-449	215	22	of	of	ADP
fumecheng-449	215	23	the	the	DET
fumecheng-449	215	24	shear	shear	NOUN
fumecheng-449	215	25	deformable	deformable	ADJ
fumecheng-449	215	26	beam	beam	NOUN
fumecheng-449	215	27	on	on	ADP
fumecheng-449	215	28	elastic	elastic	ADJ
fumecheng-449	215	29	foundation	foundation	NOUN
fumecheng-449	215	30	are	be	AUX
fumecheng-449	215	31	shown	show	VERB
fumecheng-449	215	32	on	on	ADP
fumecheng-449	215	33	figs	fig	NOUN
fumecheng-449	215	34	.	.	PUNCT
fumecheng-449	216	1	2	2	NUM
fumecheng-449	216	2	,	,	PUNCT
fumecheng-449	216	3	3	3	NUM
fumecheng-449	216	4	,	,	PUNCT
fumecheng-449	216	5	4	4	NUM
fumecheng-449	216	6	and	and	CCONJ
fumecheng-449	216	7	5	5	NUM
fumecheng-449	216	8	.	.	X
fumecheng-449	217	1	for	for	ADP
fumecheng-449	217	2	the	the	DET
fumecheng-449	217	3	presented	present	VERB
fumecheng-449	217	4	cases	case	NOUN
fumecheng-449	217	5	and	and	CCONJ
fumecheng-449	217	6	two	two	NUM
fumecheng-449	217	7	types	type	NOUN
fumecheng-449	217	8	of	of	ADP
fumecheng-449	217	9	foundation	foundation	NOUN
fumecheng-449	217	10	,	,	PUNCT
fumecheng-449	217	11	natural	natural	ADJ
fumecheng-449	217	12	frequencies	frequency	NOUN
fumecheng-449	217	13	are	be	AUX
fumecheng-449	217	14	given	give	VERB
fumecheng-449	217	15	in	in	ADP
fumecheng-449	217	16	tables	table	NOUN
fumecheng-449	217	17	1	1	NUM
fumecheng-449	217	18	-	-	SYM
fumecheng-449	217	19	8	8	NUM
fumecheng-449	217	20	.	.	PUNCT
fumecheng-449	218	1	for	for	ADP
fumecheng-449	218	2	the	the	DET
fumecheng-449	218	3	case	case	NOUN
fumecheng-449	218	4	without	without	ADP
fumecheng-449	218	5	discontinuity	discontinuity	NOUN
fumecheng-449	218	6	in	in	ADP
fumecheng-449	218	7	foundation	foundation	NOUN
fumecheng-449	218	8	,	,	PUNCT
fumecheng-449	218	9	natural	natural	ADJ
fumecheng-449	218	10	frequencies	frequency	NOUN
fumecheng-449	218	11	for	for	ADP
fumecheng-449	218	12	simply	simply	ADV
fumecheng-449	218	13	supported	support	VERB
fumecheng-449	218	14	beam	beam	NOUN
fumecheng-449	218	15	can	can	AUX
fumecheng-449	218	16	be	be	AUX
fumecheng-449	218	17	easily	easily	ADV
fumecheng-449	218	18	obtained	obtain	VERB
fumecheng-449	218	19	from	from	ADP
fumecheng-449	218	20	the	the	DET
fumecheng-449	218	21	frequency	frequency	NOUN
fumecheng-449	218	22	equation	equation	NOUN
fumecheng-449	218	23	(	(	PUNCT
fumecheng-449	218	24	27	27	NUM
fumecheng-449	218	25	)	)	PUNCT
fumecheng-449	218	26	of	of	ADP
fumecheng-449	218	27	ref	ref	NOUN
fumecheng-449	218	28	.	.	PUNCT
fumecheng-449	219	1	[	[	X
fumecheng-449	219	2	24	24	NUM
fumecheng-449	219	3	]	]	PUNCT
fumecheng-449	219	4	,	,	PUNCT
fumecheng-449	219	5	for	for	ADP
fumecheng-449	219	6	the	the	DET
fumecheng-449	219	7	timoshenko	timoshenko	ADJ
fumecheng-449	219	8	theory	theory	NOUN
fumecheng-449	219	9	,	,	PUNCT
fumecheng-449	219	10	by	by	ADP
fumecheng-449	219	11	setting	set	VERB
fumecheng-449	219	12	m=1	m=1	PROPN
fumecheng-449	219	13	.	.	PUNCT
fumecheng-449	219	14	fig	fig	NOUN
fumecheng-449	219	15	.	.	PUNCT
fumecheng-449	220	1	4	4	NUM
fumecheng-449	220	2	timoshenko	timoshenko	NOUN
fumecheng-449	220	3	beam	beam	NOUN
fumecheng-449	220	4	supported	support	VERB
fumecheng-449	220	5	by	by	ADP
fumecheng-449	220	6	the	the	DET
fumecheng-449	220	7	elastic	elastic	ADJ
fumecheng-449	220	8	foundation	foundation	NOUN
fumecheng-449	220	9	with	with	ADP
fumecheng-449	220	10	discontinuity	discontinuity	NOUN
fumecheng-449	220	11	l1=1.67	l1=1.67	PROPN
fumecheng-449	220	12	m	m	PROPN
fumecheng-449	220	13	,	,	PUNCT
fumecheng-449	220	14	l2=2.6	l2=2.6	PROPN
fumecheng-449	220	15	m	m	PART
fumecheng-449	220	16	(	(	PUNCT
fumecheng-449	220	17	case	case	NOUN
fumecheng-449	220	18	3	3	NUM
fumecheng-449	220	19	)	)	PUNCT
fumecheng-449	220	20	modes	mode	NOUN
fumecheng-449	220	21	of	of	ADP
fumecheng-449	220	22	vibration	vibration	NOUN
fumecheng-449	220	23	of	of	ADP
fumecheng-449	220	24	beams	beam	NOUN
fumecheng-449	220	25	under	under	ADP
fumecheng-449	220	26	the	the	DET
fumecheng-449	220	27	influence	influence	NOUN
fumecheng-449	220	28	of	of	ADP
fumecheng-449	220	29	variable	variable	ADJ
fumecheng-449	220	30	discontinuity	discontinuity	NOUN
fumecheng-449	220	31	in	in	ADP
fumecheng-449	220	32	foundation	foundation	PROPN
fumecheng-449	220	33	297	297	NUM
fumecheng-449	220	34	fig	fig	NOUN
fumecheng-449	220	35	.	.	PUNCT
fumecheng-449	221	1	5	5	NUM
fumecheng-449	221	2	timoshenko	timoshenko	NOUN
fumecheng-449	221	3	beam	beam	NOUN
fumecheng-449	221	4	supported	support	VERB
fumecheng-449	221	5	by	by	ADP
fumecheng-449	221	6	the	the	DET
fumecheng-449	221	7	elastic	elastic	ADJ
fumecheng-449	221	8	foundation	foundation	NOUN
fumecheng-449	221	9	with	with	ADP
fumecheng-449	221	10	discontinuity	discontinuity	NOUN
fumecheng-449	221	11	l1	l1	PROPN
fumecheng-449	221	12	=	=	PRON
fumecheng-449	221	13	l/6	l/6	X
fumecheng-449	221	14	(	(	PUNCT
fumecheng-449	221	15	case	case	NOUN
fumecheng-449	221	16	4	4	NUM
fumecheng-449	221	17	)	)	PUNCT
fumecheng-449	221	18	the	the	DET
fumecheng-449	221	19	ansys	ansys	PROPN
fumecheng-449	221	20	h	h	NOUN
fumecheng-449	221	21	-	-	PUNCT
fumecheng-449	221	22	version	version	NOUN
fumecheng-449	221	23	element	element	NOUN
fumecheng-449	221	24	used	use	VERB
fumecheng-449	221	25	is	be	AUX
fumecheng-449	221	26	element	element	ADJ
fumecheng-449	221	27	beam	beam	NOUN
fumecheng-449	221	28	189	189	NUM
fumecheng-449	221	29	,	,	PUNCT
fumecheng-449	221	30	which	which	PRON
fumecheng-449	221	31	has	have	VERB
fumecheng-449	221	32	3	3	NUM
fumecheng-449	221	33	nodes	node	NOUN
fumecheng-449	221	34	with	with	ADP
fumecheng-449	221	35	six	six	NUM
fumecheng-449	221	36	degrees	degree	NOUN
fumecheng-449	221	37	of	of	ADP
fumecheng-449	221	38	freedom	freedom	NOUN
fumecheng-449	221	39	at	at	ADP
fumecheng-449	221	40	each	each	DET
fumecheng-449	221	41	node	node	NOUN
fumecheng-449	221	42	(	(	PUNCT
fumecheng-449	221	43	but	but	CCONJ
fumecheng-449	221	44	to	to	PART
fumecheng-449	221	45	analyze	analyze	VERB
fumecheng-449	221	46	vibrations	vibration	NOUN
fumecheng-449	221	47	in	in	ADP
fumecheng-449	221	48	a	a	DET
fumecheng-449	221	49	plane	plane	NOUN
fumecheng-449	221	50	only	only	ADV
fumecheng-449	221	51	3	3	NUM
fumecheng-449	221	52	degrees	degree	NOUN
fumecheng-449	221	53	of	of	ADP
fumecheng-449	221	54	freedom	freedom	NOUN
fumecheng-449	221	55	per	per	ADP
fumecheng-449	221	56	node	node	NOUN
fumecheng-449	221	57	are	be	AUX
fumecheng-449	221	58	required	require	VERB
fumecheng-449	221	59	)	)	PUNCT
fumecheng-449	221	60	.	.	PUNCT
fumecheng-449	222	1	beam189	beam189	PROPN
fumecheng-449	222	2	is	be	AUX
fumecheng-449	222	3	an	an	DET
fumecheng-449	222	4	element	element	NOUN
fumecheng-449	222	5	based	base	VERB
fumecheng-449	222	6	on	on	ADP
fumecheng-449	222	7	the	the	DET
fumecheng-449	222	8	timoshenko	timoshenko	ADJ
fumecheng-449	222	9	beam	beam	NOUN
fumecheng-449	222	10	theory	theory	NOUN
fumecheng-449	222	11	and	and	CCONJ
fumecheng-449	222	12	suitable	suitable	ADJ
fumecheng-449	222	13	for	for	ADP
fumecheng-449	222	14	analyzing	analyze	VERB
fumecheng-449	222	15	slender	slender	NOUN
fumecheng-449	222	16	to	to	ADP
fumecheng-449	222	17	moderately	moderately	ADV
fumecheng-449	222	18	thick	thick	ADJ
fumecheng-449	222	19	beam	beam	NOUN
fumecheng-449	222	20	structures	structure	NOUN
fumecheng-449	222	21	.	.	PUNCT
fumecheng-449	223	1	the	the	DET
fumecheng-449	223	2	current	current	ADJ
fumecheng-449	223	3	results	result	NOUN
fumecheng-449	223	4	from	from	ADP
fumecheng-449	223	5	ansys	ansys	PROPN
fumecheng-449	223	6	are	be	AUX
fumecheng-449	223	7	obtained	obtain	VERB
fumecheng-449	223	8	with	with	ADP
fumecheng-449	223	9	100	100	NUM
fumecheng-449	223	10	elements	element	NOUN
fumecheng-449	223	11	.	.	PUNCT
fumecheng-449	224	1	table	table	NOUN
fumecheng-449	224	2	1	1	NUM
fumecheng-449	224	3	natural	natural	ADJ
fumecheng-449	224	4	frequencies	frequency	NOUN
fumecheng-449	224	5	[	[	X
fumecheng-449	224	6	hz	hz	X
fumecheng-449	224	7	]	]	X
fumecheng-449	224	8	of	of	ADP
fumecheng-449	224	9	a	a	DET
fumecheng-449	224	10	clamped	clamp	VERB
fumecheng-449	224	11	-	-	PUNCT
fumecheng-449	224	12	clamped	clamp	VERB
fumecheng-449	224	13	beam	beam	NOUN
fumecheng-449	224	14	case	case	NOUN
fumecheng-449	224	15	1	1	NUM
fumecheng-449	224	16	for	for	ADP
fumecheng-449	224	17	kw1	kw1	NOUN
fumecheng-449	224	18	and	and	CCONJ
fumecheng-449	224	19	kp1	kp1	PROPN
fumecheng-449	224	20	mode	mode	PROPN
fumecheng-449	224	21	winkler	winkler	PROPN
fumecheng-449	224	22	pasternak	pasternak	PROPN
fumecheng-449	224	23	ansys	ansys	PROPN
fumecheng-449	224	24	beam189	beam189	PROPN
fumecheng-449	224	25	100	100	NUM
fumecheng-449	224	26	elements	element	NOUN
fumecheng-449	224	27	p	p	NOUN
fumecheng-449	224	28	-	-	PUNCT
fumecheng-449	224	29	fem	fem	NOUN
fumecheng-449	224	30	(	(	PUNCT
fumecheng-449	224	31	30sf	30sf	NOUN
fumecheng-449	224	32	)	)	PUNCT
fumecheng-449	224	33	ansys	ansys	PROPN
fumecheng-449	224	34	beam189	beam189	PROPN
fumecheng-449	224	35	100	100	NUM
fumecheng-449	224	36	elements	element	NOUN
fumecheng-449	224	37	p	p	NOUN
fumecheng-449	224	38	-	-	PUNCT
fumecheng-449	224	39	fem	fem	NOUN
fumecheng-449	224	40	(	(	PUNCT
fumecheng-449	224	41	30sf	30sf	NOUN
fumecheng-449	224	42	)	)	PUNCT
fumecheng-449	224	43	1	1	NUM
fumecheng-449	225	1	92.5	92.5	NUM
fumecheng-449	225	2	92.33	92.33	NUM
fumecheng-449	225	3	92.4	92.4	NUM
fumecheng-449	225	4	92.35	92.35	NUM
fumecheng-449	225	5	2	2	NUM
fumecheng-449	225	6	97.2	97.2	NUM
fumecheng-449	225	7	96.90	96.90	NUM
fumecheng-449	225	8	97.1	97.1	NUM
fumecheng-449	225	9	96.97	96.97	NUM
fumecheng-449	225	10	3	3	NUM
fumecheng-449	225	11	111.3	111.3	NUM
fumecheng-449	225	12	110.45	110.45	NUM
fumecheng-449	225	13	111.2	111.2	NUM
fumecheng-449	225	14	110.58	110.58	NUM
fumecheng-449	225	15	4	4	NUM
fumecheng-449	225	16	137.4	137.4	NUM
fumecheng-449	225	17	136.66	136.66	NUM
fumecheng-449	225	18	137.3	137.3	NUM
fumecheng-449	225	19	136.84	136.84	NUM
fumecheng-449	225	20	table	table	NOUN
fumecheng-449	225	21	2	2	NUM
fumecheng-449	225	22	natural	natural	ADJ
fumecheng-449	225	23	frequencies	frequency	NOUN
fumecheng-449	225	24	[	[	X
fumecheng-449	225	25	hz	hz	X
fumecheng-449	225	26	]	]	X
fumecheng-449	225	27	of	of	ADP
fumecheng-449	225	28	a	a	DET
fumecheng-449	225	29	clamped	clamp	VERB
fumecheng-449	225	30	-	-	PUNCT
fumecheng-449	225	31	clamped	clamp	VERB
fumecheng-449	225	32	beam	beam	NOUN
fumecheng-449	225	33	case	case	NOUN
fumecheng-449	225	34	2	2	NUM
fumecheng-449	225	35	for	for	ADP
fumecheng-449	225	36	kw1	kw1	NOUN
fumecheng-449	225	37	and	and	CCONJ
fumecheng-449	225	38	kp1	kp1	PROPN
fumecheng-449	225	39	mode	mode	PROPN
fumecheng-449	225	40	winkler	winkler	PROPN
fumecheng-449	225	41	pasternak	pasternak	PROPN
fumecheng-449	225	42	ansys	ansys	PROPN
fumecheng-449	225	43	beam189	beam189	PROPN
fumecheng-449	225	44	100	100	NUM
fumecheng-449	225	45	elements	element	NOUN
fumecheng-449	225	46	p	p	NOUN
fumecheng-449	225	47	-	-	PUNCT
fumecheng-449	225	48	fem	fem	NOUN
fumecheng-449	225	49	(	(	PUNCT
fumecheng-449	225	50	30sf	30sf	NOUN
fumecheng-449	225	51	)	)	PUNCT
fumecheng-449	225	52	ansys	ansys	PROPN
fumecheng-449	225	53	beam189	beam189	PROPN
fumecheng-449	225	54	100	100	NUM
fumecheng-449	225	55	elements	element	NOUN
fumecheng-449	225	56	p	p	NOUN
fumecheng-449	225	57	-	-	PUNCT
fumecheng-449	225	58	fem	fem	NOUN
fumecheng-449	225	59	(	(	PUNCT
fumecheng-449	225	60	30sf	30sf	NOUN
fumecheng-449	225	61	)	)	PUNCT
fumecheng-449	225	62	1	1	NUM
fumecheng-449	225	63	90.7	90.7	NUM
fumecheng-449	225	64	90.55	90.55	NUM
fumecheng-449	225	65	90.7	90.7	NUM
fumecheng-449	225	66	90.57	90.57	NUM
fumecheng-449	225	67	2	2	NUM
fumecheng-449	225	68	95.8	95.8	NUM
fumecheng-449	225	69	95.59	95.59	NUM
fumecheng-449	225	70	95.9	95.9	NUM
fumecheng-449	225	71	95.65	95.65	NUM
fumecheng-449	225	72	3	3	NUM
fumecheng-449	225	73	110.5	110.5	NUM
fumecheng-449	225	74	110.27	110.27	NUM
fumecheng-449	225	75	110.6	110.6	NUM
fumecheng-449	225	76	110.40	110.40	NUM
fumecheng-449	225	77	4	4	NUM
fumecheng-449	225	78	136.5	136.5	NUM
fumecheng-449	225	79	136.27	136.27	NUM
fumecheng-449	225	80	136.6	136.6	NUM
fumecheng-449	225	81	136.45	136.45	NUM
fumecheng-449	225	82	298	298	NUM
fumecheng-449	225	83	v.	v.	ADP
fumecheng-449	225	84	stojanović	stojanović	PROPN
fumecheng-449	225	85	,	,	PUNCT
fumecheng-449	225	86	p.	p.	PROPN
fumecheng-449	225	87	ribeiro	ribeiro	PROPN
fumecheng-449	225	88	table	table	NOUN
fumecheng-449	225	89	3	3	NUM
fumecheng-449	225	90	natural	natural	ADJ
fumecheng-449	225	91	frequencies	frequency	NOUN
fumecheng-449	225	92	[	[	X
fumecheng-449	225	93	hz	hz	X
fumecheng-449	225	94	]	]	X
fumecheng-449	225	95	of	of	ADP
fumecheng-449	225	96	a	a	DET
fumecheng-449	225	97	clamped	clamp	VERB
fumecheng-449	225	98	-	-	PUNCT
fumecheng-449	225	99	clamped	clamp	VERB
fumecheng-449	225	100	beam	beam	NOUN
fumecheng-449	225	101	case	case	NOUN
fumecheng-449	225	102	3	3	NUM
fumecheng-449	225	103	for	for	ADP
fumecheng-449	225	104	kw1	kw1	NOUN
fumecheng-449	225	105	and	and	CCONJ
fumecheng-449	225	106	kp1	kp1	PROPN
fumecheng-449	225	107	mode	mode	PROPN
fumecheng-449	225	108	winkler	winkler	PROPN
fumecheng-449	225	109	pasternak	pasternak	PROPN
fumecheng-449	225	110	ansys	ansys	PROPN
fumecheng-449	225	111	beam189	beam189	PROPN
fumecheng-449	225	112	100	100	NUM
fumecheng-449	225	113	elements	element	NOUN
fumecheng-449	225	114	p	p	NOUN
fumecheng-449	225	115	-	-	PUNCT
fumecheng-449	225	116	fem	fem	NOUN
fumecheng-449	225	117	(	(	PUNCT
fumecheng-449	225	118	30sf	30sf	NOUN
fumecheng-449	225	119	)	)	PUNCT
fumecheng-449	225	120	ansys	ansys	PROPN
fumecheng-449	225	121	beam189	beam189	PROPN
fumecheng-449	225	122	100	100	NUM
fumecheng-449	225	123	elements	element	NOUN
fumecheng-449	225	124	p	p	NOUN
fumecheng-449	225	125	-	-	PUNCT
fumecheng-449	225	126	fem	fem	NOUN
fumecheng-449	225	127	(	(	PUNCT
fumecheng-449	225	128	30sf	30sf	NOUN
fumecheng-449	225	129	)	)	PUNCT
fumecheng-449	225	130	1	1	NUM
fumecheng-449	225	131	77.2	77.2	NUM
fumecheng-449	225	132	77.07	77.07	NUM
fumecheng-449	225	133	77.3	77.3	NUM
fumecheng-449	225	134	77.08	77.08	NUM
fumecheng-449	225	135	2	2	NUM
fumecheng-449	225	136	94.3	94.3	NUM
fumecheng-449	225	137	94.06	94.06	NUM
fumecheng-449	225	138	94.4	94.4	NUM
fumecheng-449	225	139	94.11	94.11	NUM
fumecheng-449	225	140	3	3	NUM
fumecheng-449	225	141	108.5	108.5	NUM
fumecheng-449	225	142	108.26	108.26	NUM
fumecheng-449	225	143	108.6	108.6	NUM
fumecheng-449	225	144	108.38	108.38	NUM
fumecheng-449	225	145	4	4	NUM
fumecheng-449	225	146	136.1	136.1	NUM
fumecheng-449	225	147	135.85	135.85	NUM
fumecheng-449	225	148	136.2	136.2	NUM
fumecheng-449	225	149	136.02	136.02	NUM
fumecheng-449	225	150	table	table	NOUN
fumecheng-449	225	151	4	4	NUM
fumecheng-449	225	152	natural	natural	ADJ
fumecheng-449	225	153	frequencies	frequency	NOUN
fumecheng-449	225	154	[	[	X
fumecheng-449	225	155	hz	hz	X
fumecheng-449	225	156	]	]	X
fumecheng-449	225	157	of	of	ADP
fumecheng-449	225	158	a	a	DET
fumecheng-449	225	159	clamped	clamp	VERB
fumecheng-449	225	160	-	-	PUNCT
fumecheng-449	225	161	clamped	clamp	VERB
fumecheng-449	225	162	beam	beam	NOUN
fumecheng-449	225	163	case	case	NOUN
fumecheng-449	225	164	4	4	NUM
fumecheng-449	225	165	for	for	ADP
fumecheng-449	225	166	kw1	kw1	NOUN
fumecheng-449	225	167	and	and	CCONJ
fumecheng-449	225	168	kp1	kp1	PROPN
fumecheng-449	225	169	mode	mode	PROPN
fumecheng-449	225	170	winkler	winkler	PROPN
fumecheng-449	225	171	pasternak	pasternak	PROPN
fumecheng-449	225	172	ansys	ansys	PROPN
fumecheng-449	225	173	beam189	beam189	PROPN
fumecheng-449	225	174	100	100	NUM
fumecheng-449	225	175	elements	element	NOUN
fumecheng-449	225	176	p	p	NOUN
fumecheng-449	225	177	-	-	PUNCT
fumecheng-449	225	178	fem	fem	NOUN
fumecheng-449	225	179	(	(	PUNCT
fumecheng-449	225	180	30sf	30sf	NOUN
fumecheng-449	225	181	)	)	PUNCT
fumecheng-449	225	182	ansys	ansys	PROPN
fumecheng-449	225	183	beam189	beam189	PROPN
fumecheng-449	225	184	100	100	NUM
fumecheng-449	225	185	elements	element	NOUN
fumecheng-449	225	186	p	p	NOUN
fumecheng-449	225	187	-	-	PUNCT
fumecheng-449	225	188	fem	fem	NOUN
fumecheng-449	225	189	(	(	PUNCT
fumecheng-449	225	190	30sf	30sf	NOUN
fumecheng-449	225	191	)	)	PUNCT
fumecheng-449	225	192	1	1	NUM
fumecheng-449	225	193	35.3	35.3	NUM
fumecheng-449	225	194	35.08	35.08	NUM
fumecheng-449	225	195	35.3	35.3	NUM
fumecheng-449	225	196	35.06	35.06	NUM
fumecheng-449	225	197	2	2	NUM
fumecheng-449	225	198	59.6	59.6	NUM
fumecheng-449	225	199	59.30	59.30	NUM
fumecheng-449	225	200	59.6	59.6	NUM
fumecheng-449	225	201	59.30	59.30	NUM
fumecheng-449	225	202	3	3	NUM
fumecheng-449	225	203	77.5	77.5	NUM
fumecheng-449	225	204	77.31	77.31	NUM
fumecheng-449	225	205	77.5	77.5	NUM
fumecheng-449	225	206	77.33	77.33	NUM
fumecheng-449	225	207	4	4	NUM
fumecheng-449	225	208	104.5	104.5	NUM
fumecheng-449	225	209	104.33	104.33	NUM
fumecheng-449	225	210	104.5	104.5	NUM
fumecheng-449	225	211	104.42	104.42	NUM
fumecheng-449	225	212	changes	change	NOUN
fumecheng-449	225	213	in	in	ADP
fumecheng-449	225	214	the	the	DET
fumecheng-449	225	215	natural	natural	ADJ
fumecheng-449	225	216	frequencies	frequency	NOUN
fumecheng-449	225	217	have	have	VERB
fumecheng-449	225	218	a	a	DET
fumecheng-449	225	219	tendency	tendency	NOUN
fumecheng-449	225	220	of	of	ADP
fumecheng-449	225	221	decreasing	decrease	VERB
fumecheng-449	225	222	as	as	ADP
fumecheng-449	225	223	the	the	DET
fumecheng-449	225	224	discontinuity	discontinuity	NOUN
fumecheng-449	225	225	in	in	ADP
fumecheng-449	225	226	the	the	DET
fumecheng-449	225	227	foundation	foundation	NOUN
fumecheng-449	225	228	increases	increase	NOUN
fumecheng-449	225	229	.	.	PUNCT
fumecheng-449	226	1	this	this	DET
fumecheng-449	226	2	model	model	NOUN
fumecheng-449	226	3	is	be	AUX
fumecheng-449	226	4	important	important	ADJ
fumecheng-449	226	5	for	for	ADP
fumecheng-449	226	6	analysis	analysis	NOUN
fumecheng-449	226	7	because	because	SCONJ
fumecheng-449	226	8	of	of	ADP
fumecheng-449	226	9	the	the	DET
fumecheng-449	226	10	easy	easy	ADJ
fumecheng-449	226	11	generalization	generalization	NOUN
fumecheng-449	226	12	of	of	ADP
fumecheng-449	226	13	the	the	DET
fumecheng-449	226	14	discontinuity	discontinuity	NOUN
fumecheng-449	226	15	in	in	ADP
fumecheng-449	226	16	the	the	DET
fumecheng-449	226	17	foundation	foundation	NOUN
fumecheng-449	226	18	.	.	PUNCT
fumecheng-449	227	1	non	non	ADJ
fumecheng-449	227	2	-	-	ADJ
fumecheng-449	227	3	linear	linear	ADJ
fumecheng-449	227	4	matrices	matrix	NOUN
fumecheng-449	227	5	are	be	AUX
fumecheng-449	227	6	just	just	ADV
fumecheng-449	227	7	obtained	obtain	VERB
fumecheng-449	227	8	and	and	CCONJ
fumecheng-449	227	9	presented	present	VERB
fumecheng-449	227	10	in	in	ADP
fumecheng-449	227	11	the	the	DET
fumecheng-449	227	12	work	work	NOUN
fumecheng-449	227	13	and	and	CCONJ
fumecheng-449	227	14	can	can	AUX
fumecheng-449	227	15	be	be	AUX
fumecheng-449	227	16	used	use	VERB
fumecheng-449	227	17	for	for	ADP
fumecheng-449	227	18	a	a	DET
fumecheng-449	227	19	further	further	ADJ
fumecheng-449	227	20	nonlinear	nonlinear	ADJ
fumecheng-449	227	21	analysis	analysis	NOUN
fumecheng-449	227	22	in	in	ADP
fumecheng-449	227	23	the	the	DET
fumecheng-449	227	24	time	time	NOUN
fumecheng-449	227	25	domain	domain	NOUN
fumecheng-449	227	26	.	.	PUNCT
fumecheng-449	228	1	table	table	NOUN
fumecheng-449	228	2	5	5	NUM
fumecheng-449	228	3	natural	natural	ADJ
fumecheng-449	228	4	frequencies	frequency	NOUN
fumecheng-449	228	5	[	[	X
fumecheng-449	228	6	hz	hz	X
fumecheng-449	228	7	]	]	X
fumecheng-449	228	8	of	of	ADP
fumecheng-449	228	9	a	a	DET
fumecheng-449	228	10	clamped	clamp	VERB
fumecheng-449	228	11	-	-	PUNCT
fumecheng-449	228	12	clamped	clamp	VERB
fumecheng-449	228	13	beam	beam	NOUN
fumecheng-449	228	14	case	case	NOUN
fumecheng-449	228	15	1	1	NUM
fumecheng-449	228	16	for	for	ADP
fumecheng-449	228	17	kw2	kw2	PROPN
fumecheng-449	228	18	and	and	CCONJ
fumecheng-449	228	19	kp2	kp2	VERB
fumecheng-449	228	20	mode	mode	PROPN
fumecheng-449	228	21	winkler	winkler	PROPN
fumecheng-449	228	22	pasternak	pasternak	PROPN
fumecheng-449	228	23	ansys	ansys	PROPN
fumecheng-449	228	24	beam189	beam189	PROPN
fumecheng-449	228	25	100	100	NUM
fumecheng-449	228	26	elements	element	NOUN
fumecheng-449	228	27	p	p	NOUN
fumecheng-449	228	28	-	-	PUNCT
fumecheng-449	228	29	fem	fem	NOUN
fumecheng-449	228	30	(	(	PUNCT
fumecheng-449	228	31	30sf	30sf	NOUN
fumecheng-449	228	32	)	)	PUNCT
fumecheng-449	228	33	ansys	ansys	PROPN
fumecheng-449	228	34	beam189	beam189	PROPN
fumecheng-449	228	35	100	100	NUM
fumecheng-449	228	36	elements	element	NOUN
fumecheng-449	228	37	p	p	NOUN
fumecheng-449	228	38	-	-	PUNCT
fumecheng-449	228	39	fem	fem	NOUN
fumecheng-449	228	40	(	(	PUNCT
fumecheng-449	228	41	30sf	30sf	NOUN
fumecheng-449	228	42	)	)	PUNCT
fumecheng-449	229	1	1	1	NUM
fumecheng-449	229	2	122.1	122.1	NUM
fumecheng-449	229	3	121.74	121.74	NUM
fumecheng-449	229	4	122.2	122.2	NUM
fumecheng-449	229	5	121.78	121.78	NUM
fumecheng-449	229	6	2	2	NUM
fumecheng-449	229	7	126.5	126.5	NUM
fumecheng-449	229	8	125.20	125.20	NUM
fumecheng-449	229	9	126.6	126.6	NUM
fumecheng-449	229	10	125.36	125.36	NUM
fumecheng-449	229	11	3	3	NUM
fumecheng-449	229	12	136.1	136.1	NUM
fumecheng-449	229	13	135.91	135.91	NUM
fumecheng-449	229	14	136.2	136.2	NUM
fumecheng-449	229	15	136.22	136.22	NUM
fumecheng-449	229	16	4	4	NUM
fumecheng-449	229	17	158.1	158.1	NUM
fumecheng-449	229	18	157.90	157.90	NUM
fumecheng-449	229	19	158.2	158.2	NUM
fumecheng-449	229	20	158.35	158.35	NUM
fumecheng-449	229	21	table	table	NOUN
fumecheng-449	229	22	6	6	NUM
fumecheng-449	229	23	natural	natural	ADJ
fumecheng-449	229	24	frequencies	frequency	NOUN
fumecheng-449	229	25	[	[	X
fumecheng-449	229	26	hz	hz	X
fumecheng-449	229	27	]	]	X
fumecheng-449	229	28	of	of	ADP
fumecheng-449	229	29	a	a	DET
fumecheng-449	229	30	clamped	clamp	VERB
fumecheng-449	229	31	-	-	PUNCT
fumecheng-449	229	32	clamped	clamp	VERB
fumecheng-449	229	33	beam	beam	NOUN
fumecheng-449	229	34	case	case	NOUN
fumecheng-449	229	35	2	2	NUM
fumecheng-449	229	36	for	for	ADP
fumecheng-449	229	37	kw2	kw2	PROPN
fumecheng-449	229	38	and	and	CCONJ
fumecheng-449	229	39	kp2	kp2	VERB
fumecheng-449	229	40	mode	mode	PROPN
fumecheng-449	229	41	winkler	winkler	PROPN
fumecheng-449	229	42	pasternak	pasternak	PROPN
fumecheng-449	229	43	ansys	ansys	PROPN
fumecheng-449	229	44	beam189	beam189	PROPN
fumecheng-449	229	45	100	100	NUM
fumecheng-449	229	46	elements	element	NOUN
fumecheng-449	229	47	p	p	NOUN
fumecheng-449	229	48	-	-	PUNCT
fumecheng-449	229	49	fem	fem	NOUN
fumecheng-449	229	50	(	(	PUNCT
fumecheng-449	229	51	30sf	30sf	NOUN
fumecheng-449	229	52	)	)	PUNCT
fumecheng-449	229	53	ansys	ansys	PROPN
fumecheng-449	229	54	beam189	beam189	PROPN
fumecheng-449	229	55	100	100	NUM
fumecheng-449	229	56	elements	element	NOUN
fumecheng-449	229	57	p	p	NOUN
fumecheng-449	229	58	-	-	PUNCT
fumecheng-449	229	59	fem	fem	NOUN
fumecheng-449	229	60	(	(	PUNCT
fumecheng-449	229	61	30sf	30sf	NOUN
fumecheng-449	229	62	)	)	PUNCT
fumecheng-449	229	63	1	1	NUM
fumecheng-449	229	64	119.2	119.2	NUM
fumecheng-449	229	65	118.84	118.84	NUM
fumecheng-449	229	66	119.3	119.3	NUM
fumecheng-449	229	67	118.90	118.90	NUM
fumecheng-449	229	68	2	2	NUM
fumecheng-449	229	69	124.1	124.1	NUM
fumecheng-449	229	70	123.81	123.81	NUM
fumecheng-449	229	71	124.2	124.2	NUM
fumecheng-449	229	72	123.94	123.94	NUM
fumecheng-449	229	73	3	3	NUM
fumecheng-449	229	74	135.9	135.9	NUM
fumecheng-449	229	75	135.68	135.68	NUM
fumecheng-449	229	76	136.1	136.1	NUM
fumecheng-449	229	77	135.98	135.98	NUM
fumecheng-449	229	78	4	4	NUM
fumecheng-449	229	79	157.6	157.6	NUM
fumecheng-449	229	80	157.33	157.33	NUM
fumecheng-449	229	81	157.7	157.7	NUM
fumecheng-449	229	82	157.77	157.77	NUM
fumecheng-449	229	83	modes	mode	NOUN
fumecheng-449	229	84	of	of	ADP
fumecheng-449	229	85	vibration	vibration	NOUN
fumecheng-449	229	86	of	of	ADP
fumecheng-449	229	87	beams	beam	NOUN
fumecheng-449	229	88	under	under	ADP
fumecheng-449	229	89	the	the	DET
fumecheng-449	229	90	influence	influence	NOUN
fumecheng-449	229	91	of	of	ADP
fumecheng-449	229	92	variable	variable	ADJ
fumecheng-449	229	93	discontinuity	discontinuity	NOUN
fumecheng-449	229	94	in	in	ADP
fumecheng-449	229	95	foundation	foundation	NOUN
fumecheng-449	229	96	299	299	NUM
fumecheng-449	229	97	table	table	NOUN
fumecheng-449	229	98	7	7	NUM
fumecheng-449	229	99	natural	natural	ADJ
fumecheng-449	229	100	frequencies	frequency	NOUN
fumecheng-449	229	101	[	[	X
fumecheng-449	229	102	hz	hz	X
fumecheng-449	229	103	]	]	X
fumecheng-449	229	104	of	of	ADP
fumecheng-449	229	105	a	a	DET
fumecheng-449	229	106	clamped	clamp	VERB
fumecheng-449	229	107	-	-	PUNCT
fumecheng-449	229	108	clamped	clamp	VERB
fumecheng-449	229	109	beam	beam	NOUN
fumecheng-449	229	110	case	case	NOUN
fumecheng-449	229	111	3	3	NUM
fumecheng-449	229	112	for	for	ADP
fumecheng-449	229	113	kw2	kw2	PROPN
fumecheng-449	229	114	and	and	CCONJ
fumecheng-449	229	115	kp2	kp2	VERB
fumecheng-449	229	116	mode	mode	PROPN
fumecheng-449	229	117	winkler	winkler	PROPN
fumecheng-449	229	118	pasternak	pasternak	PROPN
fumecheng-449	229	119	ansys	ansys	PROPN
fumecheng-449	229	120	beam189	beam189	PROPN
fumecheng-449	229	121	100	100	NUM
fumecheng-449	229	122	elements	element	NOUN
fumecheng-449	229	123	p	p	NOUN
fumecheng-449	229	124	-	-	PUNCT
fumecheng-449	229	125	fem	fem	NOUN
fumecheng-449	229	126	(	(	PUNCT
fumecheng-449	229	127	30sf	30sf	NOUN
fumecheng-449	229	128	)	)	PUNCT
fumecheng-449	229	129	ansys	ansys	PROPN
fumecheng-449	229	130	beam189	beam189	PROPN
fumecheng-449	229	131	100	100	NUM
fumecheng-449	229	132	elements	element	NOUN
fumecheng-449	229	133	p	p	NOUN
fumecheng-449	229	134	-	-	PUNCT
fumecheng-449	229	135	fem	fem	NOUN
fumecheng-449	229	136	(	(	PUNCT
fumecheng-449	229	137	30sf	30sf	NOUN
fumecheng-449	229	138	)	)	PUNCT
fumecheng-449	229	139	1	1	NUM
fumecheng-449	229	140	97.2	97.2	NUM
fumecheng-449	229	141	97.09	97.09	NUM
fumecheng-449	229	142	97.2	97.2	NUM
fumecheng-449	229	143	97.10	97.10	NUM
fumecheng-449	229	144	2	2	NUM
fumecheng-449	229	145	123.1	123.1	NUM
fumecheng-449	229	146	122.88	122.88	NUM
fumecheng-449	229	147	123.1	123.1	NUM
fumecheng-449	229	148	122.96	122.96	NUM
fumecheng-449	229	149	3	3	NUM
fumecheng-449	229	150	133.7	133.7	NUM
fumecheng-449	229	151	133.54	133.54	NUM
fumecheng-449	229	152	133.7	133.7	NUM
fumecheng-449	229	153	133.83	133.83	NUM
fumecheng-449	229	154	4	4	NUM
fumecheng-449	229	155	156.9	156.9	NUM
fumecheng-449	229	156	156.66	156.66	NUM
fumecheng-449	229	157	156.9	156.9	NUM
fumecheng-449	229	158	157.10	157.10	NUM
fumecheng-449	229	159	to	to	PART
fumecheng-449	229	160	understand	understand	VERB
fumecheng-449	229	161	the	the	DET
fumecheng-449	229	162	effect	effect	NOUN
fumecheng-449	229	163	of	of	ADP
fumecheng-449	229	164	the	the	DET
fumecheng-449	229	165	foundation	foundation	NOUN
fumecheng-449	229	166	on	on	ADP
fumecheng-449	229	167	the	the	DET
fumecheng-449	229	168	vibration	vibration	NOUN
fumecheng-449	229	169	modes	mode	NOUN
fumecheng-449	229	170	,	,	PUNCT
fumecheng-449	229	171	natural	natural	ADJ
fumecheng-449	229	172	frequencies	frequency	NOUN
fumecheng-449	229	173	are	be	AUX
fumecheng-449	229	174	not	not	PART
fumecheng-449	229	175	enough	enough	ADJ
fumecheng-449	229	176	.	.	PUNCT
fumecheng-449	230	1	it	it	PRON
fumecheng-449	230	2	is	be	AUX
fumecheng-449	230	3	important	important	ADJ
fumecheng-449	230	4	to	to	PART
fumecheng-449	230	5	present	present	VERB
fumecheng-449	230	6	the	the	DET
fumecheng-449	230	7	changes	change	NOUN
fumecheng-449	230	8	in	in	ADP
fumecheng-449	230	9	the	the	DET
fumecheng-449	230	10	natural	natural	ADJ
fumecheng-449	230	11	mode	mode	NOUN
fumecheng-449	230	12	shapes	shape	NOUN
fumecheng-449	230	13	.	.	PUNCT
fumecheng-449	231	1	in	in	ADP
fumecheng-449	231	2	figs	fig	NOUN
fumecheng-449	231	3	.	.	PUNCT
fumecheng-449	232	1	6	6	NUM
fumecheng-449	232	2	-	-	SYM
fumecheng-449	232	3	11	11	NUM
fumecheng-449	232	4	natural	natural	ADJ
fumecheng-449	232	5	mode	mode	NOUN
fumecheng-449	232	6	shapes	shape	NOUN
fumecheng-449	232	7	are	be	AUX
fumecheng-449	232	8	presented	present	VERB
fumecheng-449	232	9	for	for	ADP
fumecheng-449	232	10	all	all	DET
fumecheng-449	232	11	the	the	DET
fumecheng-449	232	12	cases	case	NOUN
fumecheng-449	232	13	of	of	ADP
fumecheng-449	232	14	discontinuity	discontinuity	NOUN
fumecheng-449	232	15	in	in	ADP
fumecheng-449	232	16	the	the	DET
fumecheng-449	232	17	foundation	foundation	NOUN
fumecheng-449	232	18	.	.	PUNCT
fumecheng-449	233	1	it	it	PRON
fumecheng-449	233	2	is	be	AUX
fumecheng-449	233	3	evident	evident	ADJ
fumecheng-449	233	4	that	that	SCONJ
fumecheng-449	233	5	the	the	DET
fumecheng-449	233	6	effect	effect	NOUN
fumecheng-449	233	7	of	of	ADP
fumecheng-449	233	8	the	the	DET
fumecheng-449	233	9	discontinuity	discontinuity	NOUN
fumecheng-449	233	10	results	result	NOUN
fumecheng-449	233	11	in	in	ADP
fumecheng-449	233	12	the	the	DET
fumecheng-449	233	13	change	change	NOUN
fumecheng-449	233	14	in	in	ADP
fumecheng-449	233	15	natural	natural	ADJ
fumecheng-449	233	16	transverse	transverse	NOUN
fumecheng-449	233	17	and	and	CCONJ
fumecheng-449	233	18	rotation	rotation	NOUN
fumecheng-449	233	19	mode	mode	NOUN
fumecheng-449	233	20	shape	shape	NOUN
fumecheng-449	233	21	.	.	PUNCT
fumecheng-449	234	1	it	it	PRON
fumecheng-449	234	2	is	be	AUX
fumecheng-449	234	3	important	important	ADJ
fumecheng-449	234	4	to	to	PART
fumecheng-449	234	5	underline	underline	VERB
fumecheng-449	234	6	that	that	SCONJ
fumecheng-449	234	7	the	the	DET
fumecheng-449	234	8	asymmetrical	asymmetrical	ADJ
fumecheng-449	234	9	mode	mode	NOUN
fumecheng-449	234	10	shapes	shape	NOUN
fumecheng-449	234	11	appear	appear	VERB
fumecheng-449	234	12	when	when	SCONJ
fumecheng-449	234	13	the	the	DET
fumecheng-449	234	14	discontinuity	discontinuity	NOUN
fumecheng-449	234	15	exists	exist	VERB
fumecheng-449	234	16	on	on	ADP
fumecheng-449	234	17	one	one	NUM
fumecheng-449	234	18	side	side	NOUN
fumecheng-449	234	19	of	of	ADP
fumecheng-449	234	20	the	the	DET
fumecheng-449	234	21	beam	beam	NOUN
fumecheng-449	234	22	.	.	PUNCT
fumecheng-449	235	1	table	table	NOUN
fumecheng-449	235	2	8	8	NUM
fumecheng-449	235	3	natural	natural	ADJ
fumecheng-449	235	4	frequencies	frequency	NOUN
fumecheng-449	235	5	[	[	X
fumecheng-449	235	6	hz	hz	X
fumecheng-449	235	7	]	]	X
fumecheng-449	235	8	of	of	ADP
fumecheng-449	235	9	a	a	DET
fumecheng-449	235	10	clamped	clamp	VERB
fumecheng-449	235	11	-	-	PUNCT
fumecheng-449	235	12	clamped	clamp	VERB
fumecheng-449	235	13	beam	beam	NOUN
fumecheng-449	235	14	case	case	NOUN
fumecheng-449	235	15	4	4	NUM
fumecheng-449	235	16	for	for	ADP
fumecheng-449	235	17	kw2	kw2	PROPN
fumecheng-449	235	18	and	and	CCONJ
fumecheng-449	235	19	kp2	kp2	VERB
fumecheng-449	235	20	mode	mode	PROPN
fumecheng-449	235	21	winkler	winkler	PROPN
fumecheng-449	235	22	pasternak	pasternak	PROPN
fumecheng-449	235	23	ansys	ansys	PROPN
fumecheng-449	235	24	beam189	beam189	PROPN
fumecheng-449	235	25	100	100	NUM
fumecheng-449	235	26	elements	element	NOUN
fumecheng-449	235	27	p	p	NOUN
fumecheng-449	235	28	-	-	PUNCT
fumecheng-449	235	29	fem	fem	NOUN
fumecheng-449	235	30	(	(	PUNCT
fumecheng-449	235	31	30sf	30sf	NOUN
fumecheng-449	235	32	)	)	PUNCT
fumecheng-449	235	33	ansys	ansys	PROPN
fumecheng-449	235	34	beam189	beam189	PROPN
fumecheng-449	235	35	100	100	NUM
fumecheng-449	235	36	elements	element	NOUN
fumecheng-449	235	37	p	p	NOUN
fumecheng-449	235	38	-	-	PUNCT
fumecheng-449	235	39	fem	fem	NOUN
fumecheng-449	235	40	(	(	PUNCT
fumecheng-449	235	41	30sf	30sf	NOUN
fumecheng-449	235	42	)	)	PUNCT
fumecheng-449	235	43	1	1	NUM
fumecheng-449	235	44	39.9	39.9	NUM
fumecheng-449	235	45	39.71	39.71	NUM
fumecheng-449	235	46	39.9	39.9	NUM
fumecheng-449	235	47	39.65	39.65	NUM
fumecheng-449	235	48	2	2	NUM
fumecheng-449	235	49	59.5	59.5	NUM
fumecheng-449	235	50	59.30	59.30	NUM
fumecheng-449	235	51	59.5	59.5	NUM
fumecheng-449	235	52	59.30	59.30	NUM
fumecheng-449	235	53	3	3	NUM
fumecheng-449	235	54	92.5	92.5	NUM
fumecheng-449	235	55	92.37	92.37	NUM
fumecheng-449	235	56	92.5	92.5	NUM
fumecheng-449	235	57	92.38	92.38	NUM
fumecheng-449	235	58	4	4	NUM
fumecheng-449	235	59	117.9	117.9	NUM
fumecheng-449	235	60	117.75	117.75	NUM
fumecheng-449	235	61	117.9	117.9	NUM
fumecheng-449	235	62	117.75	117.75	NUM
fumecheng-449	235	63	fig	fig	NOUN
fumecheng-449	235	64	.	.	PUNCT
fumecheng-449	236	1	6	6	NUM
fumecheng-449	236	2	transverse	transverse	NOUN
fumecheng-449	236	3	components	component	NOUN
fumecheng-449	236	4	of	of	ADP
fumecheng-449	236	5	mode	mode	NOUN
fumecheng-449	236	6	shapes	shape	NOUN
fumecheng-449	236	7	mode	mode	VERB
fumecheng-449	236	8	1	1	NUM
fumecheng-449	236	9	300	300	NUM
fumecheng-449	236	10	v.	v.	ADP
fumecheng-449	236	11	stojanović	stojanović	PROPN
fumecheng-449	236	12	,	,	PUNCT
fumecheng-449	236	13	p.	p.	PROPN
fumecheng-449	236	14	ribeiro	ribeiro	PROPN
fumecheng-449	236	15	fig	fig	PROPN
fumecheng-449	236	16	.	.	PUNCT
fumecheng-449	237	1	7	7	NUM
fumecheng-449	237	2	transverse	transverse	NOUN
fumecheng-449	237	3	components	component	NOUN
fumecheng-449	237	4	of	of	ADP
fumecheng-449	237	5	mode	mode	NOUN
fumecheng-449	237	6	shapes	shape	NOUN
fumecheng-449	237	7	mode	mode	NOUN
fumecheng-449	237	8	2	2	NUM
fumecheng-449	237	9	fig	fig	NOUN
fumecheng-449	237	10	.	.	PUNCT
fumecheng-449	238	1	8	8	NUM
fumecheng-449	238	2	transverse	transverse	NOUN
fumecheng-449	238	3	components	component	NOUN
fumecheng-449	238	4	of	of	ADP
fumecheng-449	238	5	mode	mode	NOUN
fumecheng-449	238	6	shapes	shape	NOUN
fumecheng-449	238	7	mode	mode	VERB
fumecheng-449	238	8	3	3	NUM
fumecheng-449	238	9	fig	fig	NOUN
fumecheng-449	238	10	.	.	PUNCT
fumecheng-449	239	1	9	9	NUM
fumecheng-449	239	2	cross	cross	NOUN
fumecheng-449	239	3	section	section	NOUN
fumecheng-449	239	4	rotation	rotation	NOUN
fumecheng-449	239	5	components	component	NOUN
fumecheng-449	239	6	of	of	ADP
fumecheng-449	239	7	mode	mode	NOUN
fumecheng-449	239	8	shapes	shape	NOUN
fumecheng-449	239	9	mode	mode	VERB
fumecheng-449	239	10	1	1	NUM
fumecheng-449	239	11	modes	mode	NOUN
fumecheng-449	239	12	of	of	ADP
fumecheng-449	239	13	vibration	vibration	NOUN
fumecheng-449	239	14	of	of	ADP
fumecheng-449	239	15	beams	beam	NOUN
fumecheng-449	239	16	under	under	ADP
fumecheng-449	239	17	the	the	DET
fumecheng-449	239	18	influence	influence	NOUN
fumecheng-449	239	19	of	of	ADP
fumecheng-449	239	20	variable	variable	ADJ
fumecheng-449	239	21	discontinuity	discontinuity	NOUN
fumecheng-449	239	22	in	in	ADP
fumecheng-449	239	23	foundation	foundation	NOUN
fumecheng-449	239	24	301	301	NUM
fumecheng-449	239	25	fig	fig	NOUN
fumecheng-449	239	26	.	.	PUNCT
fumecheng-449	240	1	10	10	NUM
fumecheng-449	240	2	cross	cross	NOUN
fumecheng-449	240	3	section	section	NOUN
fumecheng-449	240	4	rotation	rotation	NOUN
fumecheng-449	240	5	components	component	NOUN
fumecheng-449	240	6	of	of	ADP
fumecheng-449	240	7	mode	mode	NOUN
fumecheng-449	240	8	shapes	shape	NOUN
fumecheng-449	240	9	mode	mode	NOUN
fumecheng-449	240	10	2	2	NUM
fumecheng-449	240	11	fig	fig	NOUN
fumecheng-449	240	12	.	.	PUNCT
fumecheng-449	241	1	11	11	NUM
fumecheng-449	241	2	cross	cross	NOUN
fumecheng-449	241	3	section	section	NOUN
fumecheng-449	241	4	rotation	rotation	NOUN
fumecheng-449	241	5	components	component	NOUN
fumecheng-449	241	6	of	of	ADP
fumecheng-449	241	7	mode	mode	NOUN
fumecheng-449	241	8	shapes	shape	NOUN
fumecheng-449	241	9	mode	mode	VERB
fumecheng-449	241	10	3	3	NUM
fumecheng-449	241	11	for	for	ADP
fumecheng-449	241	12	the	the	DET
fumecheng-449	241	13	cases	case	NOUN
fumecheng-449	241	14	2	2	NUM
fumecheng-449	241	15	and	and	CCONJ
fumecheng-449	241	16	3	3	NUM
fumecheng-449	241	17	the	the	DET
fumecheng-449	241	18	obtained	obtain	VERB
fumecheng-449	241	19	results	result	NOUN
fumecheng-449	241	20	have	have	VERB
fumecheng-449	241	21	a	a	DET
fumecheng-449	241	22	significant	significant	ADJ
fumecheng-449	241	23	importance	importance	NOUN
fumecheng-449	241	24	in	in	ADP
fumecheng-449	241	25	understanding	understand	VERB
fumecheng-449	241	26	the	the	DET
fumecheng-449	241	27	vibrations	vibration	NOUN
fumecheng-449	241	28	of	of	ADP
fumecheng-449	241	29	the	the	DET
fumecheng-449	241	30	geometrically	geometrically	ADV
fumecheng-449	241	31	asymmetrical	asymmetrical	ADJ
fumecheng-449	241	32	model	model	NOUN
fumecheng-449	241	33	.	.	PUNCT
fumecheng-449	242	1	the	the	DET
fumecheng-449	242	2	advantages	advantage	NOUN
fumecheng-449	242	3	of	of	ADP
fumecheng-449	242	4	the	the	DET
fumecheng-449	242	5	p	p	NOUN
fumecheng-449	242	6	-	-	PUNCT
fumecheng-449	242	7	fem	fem	NOUN
fumecheng-449	242	8	model	model	NOUN
fumecheng-449	242	9	are	be	AUX
fumecheng-449	242	10	better	well	ADJ
fumecheng-449	242	11	approximations	approximation	NOUN
fumecheng-449	242	12	of	of	ADP
fumecheng-449	242	13	the	the	DET
fumecheng-449	242	14	solutions	solution	NOUN
fumecheng-449	242	15	in	in	ADP
fumecheng-449	242	16	comparison	comparison	NOUN
fumecheng-449	242	17	with	with	ADP
fumecheng-449	242	18	commercial	commercial	ADJ
fumecheng-449	242	19	software	software	NOUN
fumecheng-449	242	20	ansys	ansys	NOUN
fumecheng-449	242	21	(	(	PUNCT
fumecheng-449	242	22	convergence	convergence	NOUN
fumecheng-449	242	23	occurs	occur	VERB
fumecheng-449	242	24	from	from	ADP
fumecheng-449	242	25	above	above	ADP
fumecheng-449	242	26	in	in	ADP
fumecheng-449	242	27	the	the	DET
fumecheng-449	242	28	p	p	NOUN
fumecheng-449	242	29	-	-	PUNCT
fumecheng-449	242	30	version	version	NOUN
fumecheng-449	242	31	fem	fem	NOUN
fumecheng-449	242	32	,	,	PUNCT
fumecheng-449	242	33	and	and	CCONJ
fumecheng-449	242	34	our	our	PRON
fumecheng-449	242	35	values	value	NOUN
fumecheng-449	242	36	are	be	AUX
fumecheng-449	242	37	lower	low	ADJ
fumecheng-449	242	38	than	than	ADP
fumecheng-449	242	39	the	the	DET
fumecheng-449	242	40	ones	one	NOUN
fumecheng-449	242	41	of	of	ADP
fumecheng-449	242	42	ansys	ansys	PROPN
fumecheng-449	242	43	)	)	PUNCT
fumecheng-449	242	44	,	,	PUNCT
fumecheng-449	242	45	with	with	ADP
fumecheng-449	242	46	a	a	DET
fumecheng-449	242	47	lower	low	ADJ
fumecheng-449	242	48	number	number	NOUN
fumecheng-449	242	49	degrees	degree	NOUN
fumecheng-449	242	50	of	of	ADP
fumecheng-449	242	51	freedom	freedom	NOUN
fumecheng-449	242	52	.	.	PUNCT
fumecheng-449	243	1	in	in	ADP
fumecheng-449	243	2	a	a	DET
fumecheng-449	243	3	number	number	NOUN
fumecheng-449	243	4	of	of	ADP
fumecheng-449	243	5	cases	case	NOUN
fumecheng-449	243	6	,	,	PUNCT
fumecheng-449	243	7	the	the	DET
fumecheng-449	243	8	values	value	NOUN
fumecheng-449	243	9	computed	compute	VERB
fumecheng-449	243	10	via	via	ADP
fumecheng-449	243	11	ansys	ansys	PROPN
fumecheng-449	243	12	for	for	ADP
fumecheng-449	243	13	the	the	DET
fumecheng-449	243	14	natural	natural	ADJ
fumecheng-449	243	15	frequencies	frequency	NOUN
fumecheng-449	243	16	of	of	ADP
fumecheng-449	243	17	vibration	vibration	NOUN
fumecheng-449	243	18	considering	consider	VERB
fumecheng-449	243	19	the	the	DET
fumecheng-449	243	20	pasternak	pasternak	PROPN
fumecheng-449	243	21	and	and	CCONJ
fumecheng-449	243	22	winkler	winkler	NOUN
fumecheng-449	243	23	type	type	PROPN
fumecheng-449	243	24	foundation	foundation	NOUN
fumecheng-449	243	25	were	be	AUX
fumecheng-449	243	26	the	the	DET
fumecheng-449	243	27	same	same	ADJ
fumecheng-449	243	28	.	.	PUNCT
fumecheng-449	244	1	this	this	PRON
fumecheng-449	244	2	rarely	rarely	ADV
fumecheng-449	244	3	occurrs	occurrs	VERB
fumecheng-449	244	4	with	with	ADP
fumecheng-449	244	5	the	the	DET
fumecheng-449	244	6	pversion	pversion	NOUN
fumecheng-449	244	7	model	model	NOUN
fumecheng-449	244	8	,	,	PUNCT
fumecheng-449	244	9	which	which	PRON
fumecheng-449	244	10	generally	generally	ADV
fumecheng-449	244	11	allows	allow	VERB
fumecheng-449	244	12	to	to	PART
fumecheng-449	244	13	detect	detect	VERB
fumecheng-449	244	14	the	the	DET
fumecheng-449	244	15	effect	effect	NOUN
fumecheng-449	244	16	of	of	ADP
fumecheng-449	244	17	the	the	DET
fumecheng-449	244	18	shear	shear	NOUN
fumecheng-449	244	19	layer	layer	NOUN
fumecheng-449	244	20	.	.	PUNCT
fumecheng-449	245	1	5	5	X
fumecheng-449	245	2	.	.	X
fumecheng-449	245	3	conclusions	conclusion	NOUN
fumecheng-449	245	4	vibrations	vibration	NOUN
fumecheng-449	245	5	of	of	ADP
fumecheng-449	245	6	shear	shear	ADJ
fumecheng-449	245	7	deformable	deformable	ADJ
fumecheng-449	245	8	beams	beam	NOUN
fumecheng-449	245	9	,	,	PUNCT
fumecheng-449	245	10	elastically	elastically	ADV
fumecheng-449	245	11	connected	connect	VERB
fumecheng-449	245	12	to	to	ADP
fumecheng-449	245	13	a	a	DET
fumecheng-449	245	14	foundation	foundation	NOUN
fumecheng-449	245	15	with	with	ADP
fumecheng-449	245	16	discontinuity	discontinuity	NOUN
fumecheng-449	245	17	,	,	PUNCT
fumecheng-449	245	18	are	be	AUX
fumecheng-449	245	19	investigated	investigate	VERB
fumecheng-449	245	20	in	in	ADP
fumecheng-449	245	21	this	this	DET
fumecheng-449	245	22	paper	paper	NOUN
fumecheng-449	245	23	.	.	PUNCT
fumecheng-449	246	1	a	a	DET
fumecheng-449	246	2	p	p	ADJ
fumecheng-449	246	3	-	-	PUNCT
fumecheng-449	246	4	version	version	NOUN
fumecheng-449	246	5	finite	finite	NOUN
fumecheng-449	246	6	element	element	NOUN
fumecheng-449	246	7	based	base	VERB
fumecheng-449	246	8	on	on	ADP
fumecheng-449	246	9	the	the	DET
fumecheng-449	246	10	timoshenko	timoshenko	ADJ
fumecheng-449	246	11	theory	theory	NOUN
fumecheng-449	246	12	for	for	ADP
fumecheng-449	246	13	bending	bending	NOUN
fumecheng-449	246	14	is	be	AUX
fumecheng-449	246	15	applied	apply	VERB
fumecheng-449	246	16	.	.	PUNCT
fumecheng-449	247	1	the	the	DET
fumecheng-449	247	2	frequencies	frequency	NOUN
fumecheng-449	247	3	obtained	obtain	VERB
fumecheng-449	247	4	agree	agree	VERB
fumecheng-449	247	5	with	with	ADP
fumecheng-449	247	6	the	the	DET
fumecheng-449	247	7	ones	one	NOUN
fumecheng-449	247	8	computed	compute	VERB
fumecheng-449	247	9	via	via	ADP
fumecheng-449	247	10	well	well	ADV
fumecheng-449	247	11	know	know	INTJ
fumecheng-449	247	12	finite	finite	PROPN
fumecheng-449	247	13	element	element	NOUN
fumecheng-449	247	14	software	software	NOUN
fumecheng-449	247	15	.	.	PUNCT
fumecheng-449	248	1	the	the	DET
fumecheng-449	248	2	developed	develop	VERB
fumecheng-449	248	3	matrices	matrix	NOUN
fumecheng-449	248	4	are	be	AUX
fumecheng-449	248	5	easily	easily	ADV
fumecheng-449	248	6	applicable	applicable	ADJ
fumecheng-449	248	7	to	to	ADP
fumecheng-449	248	8	any	any	DET
fumecheng-449	248	9	size	size	NOUN
fumecheng-449	248	10	of	of	ADP
fumecheng-449	248	11	discontinuity	discontinuity	NOUN
fumecheng-449	248	12	in	in	ADP
fumecheng-449	248	13	the	the	DET
fumecheng-449	248	14	foundation	foundation	NOUN
fumecheng-449	248	15	,	,	PUNCT
fumecheng-449	248	16	simply	simply	ADV
fumecheng-449	248	17	taking	take	VERB
fumecheng-449	248	18	into	into	ADP
fumecheng-449	248	19	account	account	NOUN
fumecheng-449	248	20	changes	change	NOUN
fumecheng-449	248	21	302	302	NUM
fumecheng-449	248	22	v.	v.	ADP
fumecheng-449	248	23	stojanović	stojanović	PROPN
fumecheng-449	248	24	,	,	PUNCT
fumecheng-449	248	25	p.	p.	PROPN
fumecheng-449	248	26	ribeiro	ribeiro	PROPN
fumecheng-449	248	27	in	in	ADP
fumecheng-449	248	28	the	the	DET
fumecheng-449	248	29	boundaries	boundary	NOUN
fumecheng-449	248	30	of	of	ADP
fumecheng-449	248	31	the	the	DET
fumecheng-449	248	32	discontinuity	discontinuity	NOUN
fumecheng-449	248	33	.	.	PUNCT
fumecheng-449	249	1	various	various	ADJ
fumecheng-449	249	2	discontinuity	discontinuity	NOUN
fumecheng-449	249	3	cases	case	NOUN
fumecheng-449	249	4	(	(	PUNCT
fumecheng-449	249	5	when	when	SCONJ
fumecheng-449	249	6	the	the	DET
fumecheng-449	249	7	centre	centre	NOUN
fumecheng-449	249	8	of	of	ADP
fumecheng-449	249	9	the	the	DET
fumecheng-449	249	10	discontinuity	discontinuity	NOUN
fumecheng-449	249	11	is	be	AUX
fumecheng-449	249	12	not	not	PART
fumecheng-449	249	13	under	under	ADP
fumecheng-449	249	14	the	the	DET
fumecheng-449	249	15	middle	middle	NOUN
fumecheng-449	249	16	of	of	ADP
fumecheng-449	249	17	the	the	DET
fumecheng-449	249	18	beam	beam	NOUN
fumecheng-449	249	19	)	)	PUNCT
fumecheng-449	249	20	lead	lead	VERB
fumecheng-449	249	21	to	to	ADP
fumecheng-449	249	22	asymmetrical	asymmetrical	ADJ
fumecheng-449	249	23	vibrations	vibration	NOUN
fumecheng-449	249	24	.	.	PUNCT
fumecheng-449	250	1	this	this	PRON
fumecheng-449	250	2	is	be	AUX
fumecheng-449	250	3	made	make	VERB
fumecheng-449	250	4	evident	evident	ADJ
fumecheng-449	250	5	by	by	ADP
fumecheng-449	250	6	the	the	DET
fumecheng-449	250	7	mode	mode	NOUN
fumecheng-449	250	8	shapes	shape	NOUN
fumecheng-449	250	9	presented	present	VERB
fumecheng-449	250	10	.	.	PUNCT
fumecheng-449	251	1	the	the	DET
fumecheng-449	251	2	p	p	ADJ
fumecheng-449	251	3	-	-	PUNCT
fumecheng-449	251	4	version	version	NOUN
fumecheng-449	251	5	finite	finite	NOUN
fumecheng-449	251	6	element	element	NOUN
fumecheng-449	251	7	method	method	NOUN
fumecheng-449	251	8	developed	develop	VERB
fumecheng-449	251	9	gives	give	VERB
fumecheng-449	251	10	the	the	DET
fumecheng-449	251	11	possibility	possibility	NOUN
fumecheng-449	251	12	for	for	ADP
fumecheng-449	251	13	a	a	DET
fumecheng-449	251	14	further	further	ADJ
fumecheng-449	251	15	non	non	ADJ
fumecheng-449	251	16	-	-	ADJ
fumecheng-449	251	17	linear	linear	ADJ
fumecheng-449	251	18	analysis	analysis	NOUN
fumecheng-449	251	19	of	of	ADP
fumecheng-449	251	20	the	the	DET
fumecheng-449	251	21	vibrations	vibration	NOUN
fumecheng-449	251	22	of	of	ADP
fumecheng-449	251	23	the	the	DET
fumecheng-449	251	24	beams	beam	NOUN
fumecheng-449	251	25	resting	rest	VERB
fumecheng-449	251	26	on	on	ADP
fumecheng-449	251	27	a	a	DET
fumecheng-449	251	28	foundation	foundation	NOUN
fumecheng-449	251	29	with	with	ADP
fumecheng-449	251	30	discontinuity	discontinuity	NOUN
fumecheng-449	251	31	.	.	PUNCT
fumecheng-449	252	1	acknowledgements	acknowledgement	NOUN
fumecheng-449	252	2	:	:	PUNCT
fumecheng-449	252	3	first	first	ADJ
fumecheng-449	252	4	author	author	NOUN
fumecheng-449	252	5	acknowledges	acknowledge	VERB
fumecheng-449	252	6	the	the	DET
fumecheng-449	252	7	ministry	ministry	PROPN
fumecheng-449	252	8	of	of	ADP
fumecheng-449	252	9	science	science	PROPN
fumecheng-449	252	10	and	and	CCONJ
fumecheng-449	252	11	environment	environment	NOUN
fumecheng-449	252	12	protection	protection	NOUN
fumecheng-449	252	13	of	of	ADP
fumecheng-449	252	14	the	the	DET
fumecheng-449	252	15	republic	republic	NOUN
fumecheng-449	252	16	of	of	ADP
fumecheng-449	252	17	serbia	serbia	PROPN
fumecheng-449	252	18	,	,	PUNCT
fumecheng-449	252	19	grant	grant	NOUN
fumecheng-449	252	20	n0	n0	NUM
fumecheng-449	252	21	on	on	ADP
fumecheng-449	252	22	174011	174011	NUM
fumecheng-449	252	23	.	.	PUNCT
fumecheng-449	253	1	references	reference	NOUN
fumecheng-449	253	2	1	1	NUM
fumecheng-449	253	3	.	.	PUNCT
fumecheng-449	253	4	wang	wang	PROPN
fumecheng-449	253	5	t.	t.	PROPN
fumecheng-449	253	6	m.	m.	PROPN
fumecheng-449	253	7	,	,	PUNCT
fumecheng-449	253	8	stephens	stephens	PROPN
fumecheng-449	253	9	j.	j.	PROPN
fumecheng-449	253	10	e.	e.	PROPN
fumecheng-449	253	11	,	,	PUNCT
fumecheng-449	253	12	1977	1977	NUM
fumecheng-449	253	13	,	,	PUNCT
fumecheng-449	253	14	natural	natural	ADJ
fumecheng-449	253	15	frequencies	frequency	NOUN
fumecheng-449	253	16	of	of	ADP
fumecheng-449	253	17	timoshenko	timoshenko	ADJ
fumecheng-449	253	18	beams	beam	NOUN
fumecheng-449	253	19	on	on	ADP
fumecheng-449	253	20	pasternak	pasternak	PROPN
fumecheng-449	253	21	foundations	foundations	PROPN
fumecheng-449	253	22	,	,	PUNCT
fumecheng-449	253	23	journal	journal	NOUN
fumecheng-449	253	24	of	of	ADP
fumecheng-449	253	25	sound	sound	NOUN
fumecheng-449	253	26	and	and	CCONJ
fumecheng-449	253	27	vibration	vibration	NOUN
fumecheng-449	253	28	,	,	PUNCT
fumecheng-449	253	29	5	5	NUM
fumecheng-449	253	30	,	,	PUNCT
fumecheng-449	253	31	pp	pp	ADJ
fumecheng-449	253	32	.	.	PUNCT
fumecheng-449	254	1	149–155	149–155	NUM
fumecheng-449	254	2	.	.	NOUN
fumecheng-449	254	3	2	2	NUM
fumecheng-449	254	4	.	.	X
fumecheng-449	254	5	sun	sun	PROPN
fumecheng-449	254	6	l.	l.	PROPN
fumecheng-449	254	7	,	,	PUNCT
fumecheng-449	254	8	2001	2001	NUM
fumecheng-449	254	9	,	,	PUNCT
fumecheng-449	254	10	a	a	DET
fumecheng-449	254	11	closed	closed	ADJ
fumecheng-449	254	12	-	-	PUNCT
fumecheng-449	254	13	form	form	NOUN
fumecheng-449	254	14	solution	solution	NOUN
fumecheng-449	254	15	of	of	ADP
fumecheng-449	254	16	a	a	DET
fumecheng-449	254	17	bernoulli	bernoulli	NOUN
fumecheng-449	254	18	-	-	PUNCT
fumecheng-449	254	19	euler	euler	NOUN
fumecheng-449	254	20	beam	beam	NOUN
fumecheng-449	254	21	on	on	ADP
fumecheng-449	254	22	a	a	DET
fumecheng-449	254	23	viscoelastic	viscoelastic	ADJ
fumecheng-449	254	24	foundation	foundation	NOUN
fumecheng-449	254	25	under	under	ADP
fumecheng-449	254	26	harmonic	harmonic	ADJ
fumecheng-449	254	27	line	line	NOUN
fumecheng-449	254	28	loads	load	NOUN
fumecheng-449	254	29	,	,	PUNCT
fumecheng-449	254	30	journal	journal	NOUN
fumecheng-449	254	31	of	of	ADP
fumecheng-449	254	32	sound	sound	NOUN
fumecheng-449	254	33	and	and	CCONJ
fumecheng-449	254	34	vibration	vibration	NOUN
fumecheng-449	254	35	,	,	PUNCT
fumecheng-449	254	36	242	242	NUM
fumecheng-449	254	37	,	,	PUNCT
fumecheng-449	254	38	pp	pp	ADJ
fumecheng-449	254	39	.	.	PUNCT
fumecheng-449	255	1	619–627	619–627	NUM
fumecheng-449	255	2	.	.	PUNCT
fumecheng-449	256	1	3	3	X
fumecheng-449	256	2	.	.	X
fumecheng-449	256	3	sapountzakis	sapountzakis	PROPN
fumecheng-449	256	4	e.	e.	PROPN
fumecheng-449	256	5	j.	j.	PROPN
fumecheng-449	256	6	,	,	PUNCT
fumecheng-449	256	7	kampitsis	kampitsis	PROPN
fumecheng-449	256	8	a.	a.	PROPN
fumecheng-449	256	9	e.	e.	PROPN
fumecheng-449	256	10	,	,	PUNCT
fumecheng-449	256	11	2011	2011	NUM
fumecheng-449	256	12	,	,	PUNCT
fumecheng-449	256	13	nonlinear	nonlinear	ADJ
fumecheng-449	256	14	response	response	NOUN
fumecheng-449	256	15	of	of	ADP
fumecheng-449	256	16	shear	shear	ADJ
fumecheng-449	256	17	deformable	deformable	ADJ
fumecheng-449	256	18	beams	beam	NOUN
fumecheng-449	256	19	on	on	ADP
fumecheng-449	256	20	tensionless	tensionless	PROPN
fumecheng-449	256	21	nonlinear	nonlinear	PROPN
fumecheng-449	256	22	viscoelastic	viscoelastic	PROPN
fumecheng-449	256	23	foundation	foundation	NOUN
fumecheng-449	256	24	under	under	ADP
fumecheng-449	256	25	moving	move	VERB
fumecheng-449	256	26	loads	load	NOUN
fumecheng-449	256	27	,	,	PUNCT
fumecheng-449	256	28	journal	journal	NOUN
fumecheng-449	256	29	of	of	ADP
fumecheng-449	256	30	sound	sound	NOUN
fumecheng-449	256	31	and	and	CCONJ
fumecheng-449	256	32	vibration	vibration	NOUN
fumecheng-449	256	33	,	,	PUNCT
fumecheng-449	256	34	330	330	NUM
fumecheng-449	256	35	,	,	PUNCT
fumecheng-449	256	36	pp	pp	ADJ
fumecheng-449	256	37	.	.	PUNCT
fumecheng-449	257	1	5410–5426	5410–5426	NUM
fumecheng-449	257	2	.	.	PUNCT
fumecheng-449	258	1	4	4	X
fumecheng-449	258	2	.	.	X
fumecheng-449	258	3	mamandi	mamandi	PROPN
fumecheng-449	258	4	a.	a.	PROPN
fumecheng-449	258	5	,	,	PUNCT
fumecheng-449	258	6	kargarnovin	kargarnovin	PROPN
fumecheng-449	258	7	m.	m.	PROPN
fumecheng-449	258	8	h.	h.	PROPN
fumecheng-449	258	9	,	,	PUNCT
fumecheng-449	258	10	farsi	farsi	PROPN
fumecheng-449	258	11	s.	s.	PROPN
fumecheng-449	258	12	,	,	PUNCT
fumecheng-449	258	13	2012	2012	NUM
fumecheng-449	258	14	,	,	PUNCT
fumecheng-449	258	15	dynamic	dynamic	ADJ
fumecheng-449	258	16	analysis	analysis	NOUN
fumecheng-449	258	17	of	of	ADP
fumecheng-449	258	18	a	a	DET
fumecheng-449	258	19	simply	simply	ADV
fumecheng-449	258	20	supported	support	VERB
fumecheng-449	258	21	beam	beam	NOUN
fumecheng-449	258	22	resting	rest	VERB
fumecheng-449	258	23	on	on	ADP
fumecheng-449	258	24	a	a	DET
fumecheng-449	258	25	nonlinear	nonlinear	ADJ
fumecheng-449	258	26	elastic	elastic	ADJ
fumecheng-449	258	27	foundation	foundation	NOUN
fumecheng-449	258	28	under	under	ADP
fumecheng-449	258	29	compressive	compressive	ADJ
fumecheng-449	258	30	axial	axial	ADJ
fumecheng-449	258	31	load	load	NOUN
fumecheng-449	258	32	using	use	VERB
fumecheng-449	258	33	nonlinear	nonlinear	ADJ
fumecheng-449	258	34	normal	normal	ADJ
fumecheng-449	258	35	modes	mode	NOUN
fumecheng-449	258	36	techniques	technique	NOUN
fumecheng-449	258	37	under	under	ADP
fumecheng-449	258	38	three	three	NUM
fumecheng-449	258	39	-	-	PUNCT
fumecheng-449	258	40	to	to	ADP
fumecheng-449	258	41	-	-	PUNCT
fumecheng-449	258	42	one	one	NUM
fumecheng-449	258	43	internal	internal	ADJ
fumecheng-449	258	44	resonance	resonance	NOUN
fumecheng-449	258	45	condition	condition	NOUN
fumecheng-449	258	46	,	,	PUNCT
fumecheng-449	258	47	nonlinear	nonlinear	ADJ
fumecheng-449	258	48	dynamics	dynamic	NOUN
fumecheng-449	258	49	,	,	PUNCT
fumecheng-449	258	50	70	70	NUM
fumecheng-449	258	51	,	,	PUNCT
fumecheng-449	258	52	pp	pp	ADJ
fumecheng-449	258	53	.	.	PUNCT
fumecheng-449	259	1	1147–1172	1147–1172	NUM
fumecheng-449	259	2	.	.	PUNCT
fumecheng-449	260	1	5	5	X
fumecheng-449	260	2	.	.	X
fumecheng-449	260	3	chen	chen	PROPN
fumecheng-449	260	4	j.-s	j.-s	PROPN
fumecheng-449	260	5	.	.	PUNCT
fumecheng-449	260	6	,	,	PUNCT
fumecheng-449	260	7	chen	chen	PROPN
fumecheng-449	260	8	y.-k	y.-k	PROPN
fumecheng-449	260	9	.	.	PUNCT
fumecheng-449	260	10	,	,	PUNCT
fumecheng-449	260	11	2011	2011	NUM
fumecheng-449	260	12	,	,	PUNCT
fumecheng-449	260	13	steady	steady	ADJ
fumecheng-449	260	14	state	state	NOUN
fumecheng-449	260	15	and	and	CCONJ
fumecheng-449	260	16	stability	stability	NOUN
fumecheng-449	260	17	of	of	ADP
fumecheng-449	260	18	a	a	DET
fumecheng-449	260	19	beam	beam	NOUN
fumecheng-449	260	20	on	on	ADP
fumecheng-449	260	21	a	a	DET
fumecheng-449	260	22	damped	damped	NOUN
fumecheng-449	260	23	tensionless	tensionless	PROPN
fumecheng-449	260	24	foundation	foundation	NOUN
fumecheng-449	260	25	under	under	ADP
fumecheng-449	260	26	a	a	DET
fumecheng-449	260	27	moving	move	VERB
fumecheng-449	260	28	load	load	NOUN
fumecheng-449	260	29	,	,	PUNCT
fumecheng-449	260	30	international	international	ADJ
fumecheng-449	260	31	journal	journal	NOUN
fumecheng-449	260	32	of	of	ADP
fumecheng-449	260	33	non	non	ADJ
fumecheng-449	260	34	-	-	ADJ
fumecheng-449	260	35	linear	linear	ADJ
fumecheng-449	260	36	mechanics	mechanic	NOUN
fumecheng-449	260	37	,	,	PUNCT
fumecheng-449	260	38	46	46	NUM
fumecheng-449	260	39	,	,	PUNCT
fumecheng-449	260	40	pp	pp	ADJ
fumecheng-449	260	41	.	.	PUNCT
fumecheng-449	261	1	180–185	180–185	NUM
fumecheng-449	261	2	.	.	NOUN
fumecheng-449	262	1	6	6	NUM
fumecheng-449	262	2	.	.	X
fumecheng-449	262	3	kim	kim	PROPN
fumecheng-449	262	4	s.-m	s.-m	PROPN
fumecheng-449	262	5	.	.	PUNCT
fumecheng-449	263	1	,	,	PUNCT
fumecheng-449	263	2	cho	cho	PROPN
fumecheng-449	263	3	y.-h	y.-h	PROPN
fumecheng-449	263	4	.	.	PROPN
fumecheng-449	263	5	,	,	PUNCT
fumecheng-449	263	6	2006	2006	NUM
fumecheng-449	263	7	,	,	PUNCT
fumecheng-449	263	8	vibration	vibration	NOUN
fumecheng-449	263	9	and	and	CCONJ
fumecheng-449	263	10	dynamic	dynamic	ADJ
fumecheng-449	263	11	buckling	buckling	NOUN
fumecheng-449	263	12	of	of	ADP
fumecheng-449	263	13	shear	shear	NOUN
fumecheng-449	263	14	beam	beam	NOUN
fumecheng-449	263	15	-	-	PUNCT
fumecheng-449	263	16	columns	column	NOUN
fumecheng-449	263	17	on	on	ADP
fumecheng-449	263	18	elastic	elastic	ADJ
fumecheng-449	263	19	foundation	foundation	NOUN
fumecheng-449	263	20	under	under	ADP
fumecheng-449	263	21	moving	move	VERB
fumecheng-449	263	22	harmonic	harmonic	ADJ
fumecheng-449	263	23	loads	load	NOUN
fumecheng-449	263	24	,	,	PUNCT
fumecheng-449	263	25	international	international	ADJ
fumecheng-449	263	26	journal	journal	NOUN
fumecheng-449	263	27	of	of	ADP
fumecheng-449	263	28	solids	solid	NOUN
fumecheng-449	263	29	and	and	CCONJ
fumecheng-449	263	30	structures	structure	NOUN
fumecheng-449	263	31	,	,	PUNCT
fumecheng-449	263	32	43	43	NUM
fumecheng-449	263	33	,	,	PUNCT
fumecheng-449	263	34	pp	pp	ADJ
fumecheng-449	263	35	.	.	PUNCT
fumecheng-449	264	1	393–412	393–412	NUM
fumecheng-449	264	2	.	.	PUNCT
fumecheng-449	265	1	7	7	X
fumecheng-449	265	2	.	.	X
fumecheng-449	265	3	muscolino	muscolino	PROPN
fumecheng-449	265	4	g.	g.	PROPN
fumecheng-449	265	5	,	,	PUNCT
fumecheng-449	265	6	palmeri	palmeri	NOUN
fumecheng-449	265	7	a.	a.	NOUN
fumecheng-449	265	8	,	,	PUNCT
fumecheng-449	265	9	2007	2007	NUM
fumecheng-449	265	10	,	,	PUNCT
fumecheng-449	265	11	response	response	NOUN
fumecheng-449	265	12	of	of	ADP
fumecheng-449	265	13	beams	beam	NOUN
fumecheng-449	265	14	resting	rest	VERB
fumecheng-449	265	15	on	on	ADP
fumecheng-449	265	16	viscoelastically	viscoelastically	ADV
fumecheng-449	265	17	damped	damp	VERB
fumecheng-449	265	18	foundation	foundation	NOUN
fumecheng-449	265	19	to	to	ADP
fumecheng-449	265	20	moving	move	VERB
fumecheng-449	265	21	oscillators	oscillator	NOUN
fumecheng-449	265	22	,	,	PUNCT
fumecheng-449	265	23	international	international	ADJ
fumecheng-449	265	24	journal	journal	NOUN
fumecheng-449	265	25	of	of	ADP
fumecheng-449	265	26	solids	solid	NOUN
fumecheng-449	265	27	and	and	CCONJ
fumecheng-449	265	28	structures	structure	NOUN
fumecheng-449	265	29	,	,	PUNCT
fumecheng-449	265	30	44	44	NUM
fumecheng-449	265	31	,	,	PUNCT
fumecheng-449	265	32	pp	pp	PROPN
fumecheng-449	265	33	.	.	PUNCT
fumecheng-449	265	34	1317–1336	1317–1336	NUM
fumecheng-449	265	35	.	.	PUNCT
fumecheng-449	266	1	8	8	NUM
fumecheng-449	266	2	.	.	X
fumecheng-449	266	3	chang	chang	PROPN
fumecheng-449	266	4	t.-p	t.-p	PROPN
fumecheng-449	266	5	.	.	PROPN
fumecheng-449	266	6	,	,	PUNCT
fumecheng-449	266	7	liu	liu	PROPN
fumecheng-449	266	8	y.-n	y.-n	PROPN
fumecheng-449	266	9	.	.	PUNCT
fumecheng-449	266	10	,	,	PUNCT
fumecheng-449	266	11	1996	1996	NUM
fumecheng-449	266	12	,	,	PUNCT
fumecheng-449	266	13	dynamic	dynamic	ADJ
fumecheng-449	266	14	finite	finite	NOUN
fumecheng-449	266	15	element	element	NOUN
fumecheng-449	266	16	analysis	analysis	NOUN
fumecheng-449	266	17	of	of	ADP
fumecheng-449	266	18	a	a	DET
fumecheng-449	266	19	nonlinear	nonlinear	ADJ
fumecheng-449	266	20	beam	beam	NOUN
fumecheng-449	266	21	subjected	subject	VERB
fumecheng-449	266	22	to	to	ADP
fumecheng-449	266	23	a	a	DET
fumecheng-449	266	24	moving	move	VERB
fumecheng-449	266	25	load	load	NOUN
fumecheng-449	266	26	,	,	PUNCT
fumecheng-449	266	27	international	international	ADJ
fumecheng-449	266	28	journal	journal	NOUN
fumecheng-449	266	29	of	of	ADP
fumecheng-449	266	30	solids	solid	NOUN
fumecheng-449	266	31	and	and	CCONJ
fumecheng-449	266	32	structures	structure	NOUN
fumecheng-449	266	33	,	,	PUNCT
fumecheng-449	266	34	33	33	NUM
fumecheng-449	266	35	,	,	PUNCT
fumecheng-449	266	36	pp	pp	ADJ
fumecheng-449	266	37	.	.	PUNCT
fumecheng-449	267	1	1673–1688	1673–1688	NUM
fumecheng-449	267	2	.	.	PUNCT
fumecheng-449	268	1	9	9	X
fumecheng-449	268	2	.	.	X
fumecheng-449	268	3	malekzadeh	malekzadeh	PROPN
fumecheng-449	269	1	p.	p.	PROPN
fumecheng-449	269	2	,	,	PUNCT
fumecheng-449	269	3	vosoughi	vosoughi	PROPN
fumecheng-449	269	4	a.	a.	PROPN
fumecheng-449	269	5	r.	r.	PROPN
fumecheng-449	269	6	,	,	PUNCT
fumecheng-449	269	7	2009	2009	NUM
fumecheng-449	269	8	,	,	PUNCT
fumecheng-449	269	9	dqm	dqm	X
fumecheng-449	269	10	large	large	ADJ
fumecheng-449	269	11	amplitude	amplitude	NOUN
fumecheng-449	269	12	vibration	vibration	NOUN
fumecheng-449	269	13	of	of	ADP
fumecheng-449	269	14	composite	composite	ADJ
fumecheng-449	269	15	beams	beam	NOUN
fumecheng-449	269	16	on	on	ADP
fumecheng-449	269	17	nonlinear	nonlinear	ADJ
fumecheng-449	269	18	elastic	elastic	ADJ
fumecheng-449	269	19	foundations	foundation	NOUN
fumecheng-449	269	20	with	with	ADP
fumecheng-449	269	21	restrained	restrained	ADJ
fumecheng-449	269	22	edges	edge	NOUN
fumecheng-449	269	23	,	,	PUNCT
fumecheng-449	269	24	communications	communication	NOUN
fumecheng-449	269	25	in	in	ADP
fumecheng-449	269	26	nonlinear	nonlinear	ADJ
fumecheng-449	269	27	science	science	NOUN
fumecheng-449	269	28	and	and	CCONJ
fumecheng-449	269	29	numerical	numerical	PROPN
fumecheng-449	269	30	simulation	simulation	PROPN
fumecheng-449	269	31	,	,	PUNCT
fumecheng-449	269	32	14	14	NUM
fumecheng-449	269	33	,	,	PUNCT
fumecheng-449	269	34	pp	pp	ADJ
fumecheng-449	269	35	.	.	PUNCT
fumecheng-449	270	1	906–915	906–915	NUM
fumecheng-449	270	2	.	.	X
fumecheng-449	271	1	10	10	NUM
fumecheng-449	271	2	.	.	PUNCT
fumecheng-449	271	3	demeio	demeio	PROPN
fumecheng-449	271	4	l.	l.	PROPN
fumecheng-449	271	5	,	,	PUNCT
fumecheng-449	271	6	lenci	lenci	PROPN
fumecheng-449	271	7	s.	s.	PROPN
fumecheng-449	271	8	,	,	PUNCT
fumecheng-449	271	9	2013	2013	NUM
fumecheng-449	271	10	,	,	PUNCT
fumecheng-449	271	11	nonlinear	nonlinear	ADJ
fumecheng-449	271	12	resonances	resonance	NOUN
fumecheng-449	271	13	of	of	ADP
fumecheng-449	271	14	a	a	DET
fumecheng-449	271	15	semi	semi	ADJ
fumecheng-449	271	16	-	-	ADJ
fumecheng-449	271	17	infinite	infinite	ADJ
fumecheng-449	271	18	cable	cable	NOUN
fumecheng-449	271	19	on	on	ADP
fumecheng-449	271	20	a	a	DET
fumecheng-449	271	21	nonlinear	nonlinear	ADJ
fumecheng-449	271	22	elastic	elastic	ADJ
fumecheng-449	271	23	foundation	foundation	NOUN
fumecheng-449	271	24	,	,	PUNCT
fumecheng-449	271	25	communications	communication	NOUN
fumecheng-449	271	26	in	in	ADP
fumecheng-449	271	27	nonlinear	nonlinear	ADJ
fumecheng-449	271	28	science	science	NOUN
fumecheng-449	271	29	and	and	CCONJ
fumecheng-449	271	30	numerical	numerical	PROPN
fumecheng-449	271	31	simulation	simulation	PROPN
fumecheng-449	271	32	,	,	PUNCT
fumecheng-449	271	33	18	18	NUM
fumecheng-449	271	34	,	,	PUNCT
fumecheng-449	271	35	pp	pp	ADJ
fumecheng-449	271	36	.	.	PUNCT
fumecheng-449	272	1	785–798	785–798	NUM
fumecheng-449	272	2	.	.	PUNCT
fumecheng-449	273	1	11	11	NUM
fumecheng-449	273	2	.	.	X
fumecheng-449	273	3	szabó	szabó	PROPN
fumecheng-449	273	4	b.	b.	PROPN
fumecheng-449	273	5	,	,	PUNCT
fumecheng-449	273	6	babuska	babuska	PROPN
fumecheng-449	273	7	i.	i.	PROPN
fumecheng-449	273	8	,	,	PUNCT
fumecheng-449	273	9	1991	1991	NUM
fumecheng-449	273	10	,	,	PUNCT
fumecheng-449	273	11	finite	finite	NOUN
fumecheng-449	273	12	element	element	NOUN
fumecheng-449	273	13	analysis	analysis	NOUN
fumecheng-449	273	14	,	,	PUNCT
fumecheng-449	273	15	john	john	PROPN
fumecheng-449	273	16	wiley	wiley	PROPN
fumecheng-449	273	17	&	&	CCONJ
fumecheng-449	273	18	sons	son	NOUN
fumecheng-449	273	19	.	.	PUNCT
fumecheng-449	274	1	12	12	NUM
fumecheng-449	274	2	.	.	PUNCT
fumecheng-449	275	1	ribeiro	ribeiro	PROPN
fumecheng-449	275	2	p.	p.	PROPN
fumecheng-449	275	3	,	,	PUNCT
fumecheng-449	275	4	2004	2004	NUM
fumecheng-449	275	5	,	,	PUNCT
fumecheng-449	275	6	a	a	DET
fumecheng-449	275	7	p	p	NOUN
fumecheng-449	275	8	-	-	PUNCT
fumecheng-449	275	9	version	version	NOUN
fumecheng-449	275	10	,	,	PUNCT
fumecheng-449	275	11	first	first	ADJ
fumecheng-449	275	12	order	order	NOUN
fumecheng-449	275	13	shear	shear	NOUN
fumecheng-449	275	14	deformation	deformation	NOUN
fumecheng-449	275	15	,	,	PUNCT
fumecheng-449	275	16	finite	finite	ADJ
fumecheng-449	275	17	element	element	NOUN
fumecheng-449	275	18	for	for	ADP
fumecheng-449	275	19	geometrically	geometrically	ADV
fumecheng-449	275	20	non	non	ADJ
fumecheng-449	275	21	-	-	ADJ
fumecheng-449	275	22	linear	linear	ADJ
fumecheng-449	275	23	vibration	vibration	NOUN
fumecheng-449	275	24	of	of	ADP
fumecheng-449	275	25	curved	curved	ADJ
fumecheng-449	275	26	beams	beam	NOUN
fumecheng-449	275	27	,	,	PUNCT
fumecheng-449	275	28	international	international	ADJ
fumecheng-449	275	29	journal	journal	NOUN
fumecheng-449	275	30	for	for	ADP
fumecheng-449	275	31	numerical	numerical	ADJ
fumecheng-449	275	32	methods	method	NOUN
fumecheng-449	275	33	in	in	ADP
fumecheng-449	275	34	engineering	engineering	NOUN
fumecheng-449	275	35	,	,	PUNCT
fumecheng-449	275	36	61	61	NUM
fumecheng-449	275	37	,	,	PUNCT
fumecheng-449	275	38	pp	pp	ADJ
fumecheng-449	275	39	.	.	PUNCT
fumecheng-449	275	40	2696	2696	NUM
fumecheng-449	275	41	-	-	SYM
fumecheng-449	275	42	2715	2715	NUM
fumecheng-449	275	43	.	.	PUNCT
fumecheng-449	276	1	13	13	NUM
fumecheng-449	276	2	.	.	PUNCT
fumecheng-449	277	1	ribeiro	ribeiro	PROPN
fumecheng-449	277	2	p.	p.	PROPN
fumecheng-449	277	3	,	,	PUNCT
fumecheng-449	277	4	2010	2010	NUM
fumecheng-449	277	5	,	,	PUNCT
fumecheng-449	277	6	free	free	ADJ
fumecheng-449	277	7	periodic	periodic	ADJ
fumecheng-449	277	8	vibrations	vibration	NOUN
fumecheng-449	277	9	of	of	ADP
fumecheng-449	277	10	beams	beam	NOUN
fumecheng-449	277	11	with	with	ADP
fumecheng-449	277	12	large	large	ADJ
fumecheng-449	277	13	displacements	displacement	NOUN
fumecheng-449	277	14	and	and	CCONJ
fumecheng-449	277	15	initial	initial	ADJ
fumecheng-449	277	16	plastic	plastic	NOUN
fumecheng-449	277	17	strains	strain	NOUN
fumecheng-449	277	18	,	,	PUNCT
fumecheng-449	277	19	international	international	ADJ
fumecheng-449	277	20	journal	journal	NOUN
fumecheng-449	277	21	of	of	ADP
fumecheng-449	277	22	mechanical	mechanical	ADJ
fumecheng-449	277	23	sciences	science	NOUN
fumecheng-449	277	24	,	,	PUNCT
fumecheng-449	277	25	52	52	NUM
fumecheng-449	277	26	,	,	PUNCT
fumecheng-449	277	27	pp	pp	ADJ
fumecheng-449	277	28	.	.	PUNCT
fumecheng-449	277	29	1407–1418	1407–1418	NUM
fumecheng-449	277	30	.	.	PUNCT
fumecheng-449	278	1	14	14	NUM
fumecheng-449	278	2	.	.	PUNCT
fumecheng-449	279	1	ribeiro	ribeiro	PROPN
fumecheng-449	279	2	p.	p.	PROPN
fumecheng-449	279	3	,	,	PUNCT
fumecheng-449	279	4	2001	2001	NUM
fumecheng-449	279	5	,	,	PUNCT
fumecheng-449	279	6	hierarchical	hierarchical	ADJ
fumecheng-449	279	7	finite	finite	ADJ
fumecheng-449	279	8	element	element	NOUN
fumecheng-449	279	9	analyses	analysis	NOUN
fumecheng-449	279	10	of	of	ADP
fumecheng-449	279	11	geometrically	geometrically	ADV
fumecheng-449	279	12	non	non	ADJ
fumecheng-449	279	13	-	-	ADJ
fumecheng-449	279	14	linear	linear	ADJ
fumecheng-449	279	15	vibration	vibration	NOUN
fumecheng-449	279	16	of	of	ADP
fumecheng-449	279	17	beams	beam	NOUN
fumecheng-449	279	18	and	and	CCONJ
fumecheng-449	279	19	plane	plane	NOUN
fumecheng-449	279	20	frames	frame	NOUN
fumecheng-449	279	21	,	,	PUNCT
fumecheng-449	279	22	journal	journal	NOUN
fumecheng-449	279	23	of	of	ADP
fumecheng-449	279	24	sound	sound	NOUN
fumecheng-449	279	25	and	and	CCONJ
fumecheng-449	279	26	vibration	vibration	NOUN
fumecheng-449	279	27	,	,	PUNCT
fumecheng-449	279	28	246	246	NUM
fumecheng-449	279	29	,	,	PUNCT
fumecheng-449	279	30	pp	pp	ADJ
fumecheng-449	279	31	.	.	PUNCT
fumecheng-449	280	1	225	225	NUM
fumecheng-449	280	2	-	-	SYM
fumecheng-449	280	3	244	244	NUM
fumecheng-449	280	4	.	.	PUNCT
fumecheng-449	281	1	15	15	NUM
fumecheng-449	281	2	.	.	PUNCT
fumecheng-449	282	1	ribeiro	ribeiro	PROPN
fumecheng-449	282	2	p.	p.	PROPN
fumecheng-449	282	3	,	,	PUNCT
fumecheng-449	282	4	2004	2004	NUM
fumecheng-449	282	5	,	,	PUNCT
fumecheng-449	282	6	non	non	ADJ
fumecheng-449	282	7	-	-	ADJ
fumecheng-449	282	8	linear	linear	ADJ
fumecheng-449	282	9	forced	force	VERB
fumecheng-449	282	10	vibrations	vibration	NOUN
fumecheng-449	282	11	of	of	ADP
fumecheng-449	282	12	thin	thin	ADJ
fumecheng-449	282	13	/	/	SYM
fumecheng-449	282	14	thick	thick	ADJ
fumecheng-449	282	15	beams	beam	NOUN
fumecheng-449	282	16	and	and	CCONJ
fumecheng-449	282	17	plates	plate	NOUN
fumecheng-449	282	18	by	by	ADP
fumecheng-449	282	19	the	the	DET
fumecheng-449	282	20	finite	finite	ADJ
fumecheng-449	282	21	element	element	NOUN
fumecheng-449	282	22	and	and	CCONJ
fumecheng-449	282	23	shooting	shooting	NOUN
fumecheng-449	282	24	methods	method	NOUN
fumecheng-449	282	25	,	,	PUNCT
fumecheng-449	282	26	computers	computer	NOUN
fumecheng-449	282	27	&	&	CCONJ
fumecheng-449	282	28	structures	structure	NOUN
fumecheng-449	282	29	,	,	PUNCT
fumecheng-449	282	30	82	82	NUM
fumecheng-449	282	31	,	,	PUNCT
fumecheng-449	282	32	pp	pp	ADJ
fumecheng-449	282	33	.	.	PUNCT
fumecheng-449	283	1	1413–1423	1413–1423	NUM
fumecheng-449	283	2	.	.	X
fumecheng-449	284	1	16	16	NUM
fumecheng-449	284	2	.	.	PUNCT
fumecheng-449	285	1	han	han	PROPN
fumecheng-449	285	2	w.	w.	PROPN
fumecheng-449	285	3	,	,	PUNCT
fumecheng-449	285	4	petyt	petyt	ADJ
fumecheng-449	285	5	m.	m.	NOUN
fumecheng-449	285	6	,	,	PUNCT
fumecheng-449	285	7	1996	1996	NUM
fumecheng-449	285	8	,	,	PUNCT
fumecheng-449	285	9	linear	linear	ADJ
fumecheng-449	285	10	vibration	vibration	NOUN
fumecheng-449	285	11	analysis	analysis	NOUN
fumecheng-449	285	12	of	of	ADP
fumecheng-449	285	13	laminated	laminated	ADJ
fumecheng-449	285	14	rectangular	rectangular	ADJ
fumecheng-449	285	15	plates	plate	NOUN
fumecheng-449	285	16	using	use	VERB
fumecheng-449	285	17	the	the	DET
fumecheng-449	285	18	hierarchical	hierarchical	ADJ
fumecheng-449	285	19	finite	finite	ADJ
fumecheng-449	285	20	element	element	NOUN
fumecheng-449	285	21	method	method	NOUN
fumecheng-449	285	22	,	,	PUNCT
fumecheng-449	285	23	part	part	NOUN
fumecheng-449	285	24	1	1	NUM
fumecheng-449	285	25	:	:	PUNCT
fumecheng-449	285	26	free	free	ADJ
fumecheng-449	285	27	vibration	vibration	NOUN
fumecheng-449	285	28	analysis	analysis	NOUN
fumecheng-449	285	29	,	,	PUNCT
fumecheng-449	285	30	computers	computer	NOUN
fumecheng-449	285	31	&	&	CCONJ
fumecheng-449	285	32	structures	structure	NOUN
fumecheng-449	285	33	,	,	PUNCT
fumecheng-449	285	34	61	61	NUM
fumecheng-449	285	35	,	,	PUNCT
fumecheng-449	285	36	pp	pp	ADJ
fumecheng-449	285	37	.	.	PUNCT
fumecheng-449	286	1	705	705	NUM
fumecheng-449	286	2	-	-	SYM
fumecheng-449	286	3	712	712	NUM
fumecheng-449	286	4	.	.	PUNCT
fumecheng-449	287	1	17	17	NUM
fumecheng-449	287	2	.	.	PUNCT
fumecheng-449	288	1	bardell	bardell	PROPN
fumecheng-449	288	2	n.	n.	PROPN
fumecheng-449	288	3	s.	s.	PROPN
fumecheng-449	288	4	,	,	PUNCT
fumecheng-449	288	5	1989	1989	NUM
fumecheng-449	288	6	,	,	PUNCT
fumecheng-449	288	7	the	the	DET
fumecheng-449	288	8	application	application	NOUN
fumecheng-449	288	9	of	of	ADP
fumecheng-449	288	10	symbolic	symbolic	ADJ
fumecheng-449	288	11	computing	computing	NOUN
fumecheng-449	288	12	to	to	ADP
fumecheng-449	288	13	the	the	DET
fumecheng-449	288	14	hierarchical	hierarchical	ADJ
fumecheng-449	288	15	finite	finite	ADJ
fumecheng-449	288	16	element	element	NOUN
fumecheng-449	288	17	method	method	NOUN
fumecheng-449	288	18	,	,	PUNCT
fumecheng-449	288	19	international	international	ADJ
fumecheng-449	288	20	journal	journal	NOUN
fumecheng-449	288	21	for	for	ADP
fumecheng-449	288	22	numerical	numerical	ADJ
fumecheng-449	288	23	methods	method	NOUN
fumecheng-449	288	24	in	in	ADP
fumecheng-449	288	25	engineering	engineering	NOUN
fumecheng-449	288	26	,	,	PUNCT
fumecheng-449	288	27	28	28	NUM
fumecheng-449	288	28	,	,	PUNCT
fumecheng-449	288	29	pp	pp	ADJ
fumecheng-449	288	30	.	.	PUNCT
fumecheng-449	288	31	1181	1181	NUM
fumecheng-449	288	32	-	-	SYM
fumecheng-449	288	33	1204	1204	NUM
fumecheng-449	288	34	.	.	PUNCT
fumecheng-449	289	1	18	18	NUM
fumecheng-449	289	2	.	.	PUNCT
fumecheng-449	289	3	bardell	bardell	PROPN
fumecheng-449	289	4	n.	n.	PROPN
fumecheng-449	289	5	s.	s.	PROPN
fumecheng-449	289	6	,	,	PUNCT
fumecheng-449	289	7	langley	langley	PROPN
fumecheng-449	289	8	r.	r.	PROPN
fumecheng-449	289	9	s.	s.	PROPN
fumecheng-449	289	10	,	,	PUNCT
fumecheng-449	289	11	dunsdon	dunsdon	PROPN
fumecheng-449	289	12	j.	j.	PROPN
fumecheng-449	289	13	m.	m.	PROPN
fumecheng-449	289	14	,	,	PUNCT
fumecheng-449	289	15	aglietti	aglietti	NOUN
fumecheng-449	289	16	g.	g.	PROPN
fumecheng-449	289	17	s.	s.	PROPN
fumecheng-449	289	18	,	,	PUNCT
fumecheng-449	289	19	1999	1999	NUM
fumecheng-449	289	20	,	,	PUNCT
fumecheng-449	289	21	an	an	DET
fumecheng-449	289	22	h	h	NOUN
fumecheng-449	289	23	-	-	PUNCT
fumecheng-449	289	24	p	p	ADJ
fumecheng-449	289	25	finite	finite	ADJ
fumecheng-449	289	26	element	element	NOUN
fumecheng-449	289	27	vibration	vibration	NOUN
fumecheng-449	289	28	analysis	analysis	NOUN
fumecheng-449	289	29	of	of	ADP
fumecheng-449	289	30	open	open	ADJ
fumecheng-449	289	31	conical	conical	ADJ
fumecheng-449	289	32	sandwich	sandwich	NOUN
fumecheng-449	289	33	panels	panel	NOUN
fumecheng-449	289	34	and	and	CCONJ
fumecheng-449	289	35	conical	conical	ADJ
fumecheng-449	289	36	sandwich	sandwich	NOUN
fumecheng-449	289	37	frusta	frusta	PROPN
fumecheng-449	289	38	,	,	PUNCT
fumecheng-449	289	39	journal	journal	NOUN
fumecheng-449	289	40	of	of	ADP
fumecheng-449	289	41	sound	sound	NOUN
fumecheng-449	289	42	and	and	CCONJ
fumecheng-449	289	43	vibration	vibration	NOUN
fumecheng-449	289	44	,	,	PUNCT
fumecheng-449	289	45	226	226	NUM
fumecheng-449	289	46	,	,	PUNCT
fumecheng-449	289	47	pp	pp	ADJ
fumecheng-449	289	48	.	.	PUNCT
fumecheng-449	290	1	345	345	NUM
fumecheng-449	290	2	-	-	SYM
fumecheng-449	290	3	377	377	NUM
fumecheng-449	290	4	.	.	NOUN
fumecheng-449	291	1	19	19	NUM
fumecheng-449	291	2	.	.	PUNCT
fumecheng-449	292	1	ribeiro	ribeiro	PROPN
fumecheng-449	292	2	p.	p.	PROPN
fumecheng-449	292	3	,	,	PUNCT
fumecheng-449	292	4	2003	2003	NUM
fumecheng-449	292	5	,	,	PUNCT
fumecheng-449	292	6	a	a	DET
fumecheng-449	292	7	hierarchical	hierarchical	ADJ
fumecheng-449	292	8	finite	finite	NOUN
fumecheng-449	292	9	element	element	NOUN
fumecheng-449	292	10	for	for	ADP
fumecheng-449	292	11	geometrically	geometrically	ADV
fumecheng-449	292	12	non	non	ADJ
fumecheng-449	292	13	-	-	ADJ
fumecheng-449	292	14	linear	linear	ADJ
fumecheng-449	292	15	vibration	vibration	NOUN
fumecheng-449	292	16	of	of	ADP
fumecheng-449	292	17	doubly	doubly	ADV
fumecheng-449	292	18	curved	curve	VERB
fumecheng-449	292	19	,	,	PUNCT
fumecheng-449	292	20	moderately	moderately	ADV
fumecheng-449	292	21	thick	thick	ADJ
fumecheng-449	292	22	isotropic	isotropic	ADJ
fumecheng-449	292	23	shallow	shallow	ADJ
fumecheng-449	292	24	shells	shell	NOUN
fumecheng-449	292	25	,	,	PUNCT
fumecheng-449	292	26	international	international	ADJ
fumecheng-449	292	27	journal	journal	NOUN
fumecheng-449	292	28	for	for	ADP
fumecheng-449	292	29	numerical	numerical	ADJ
fumecheng-449	292	30	methods	method	NOUN
fumecheng-449	292	31	in	in	ADP
fumecheng-449	292	32	engineering	engineering	NOUN
fumecheng-449	292	33	,	,	PUNCT
fumecheng-449	292	34	56	56	NUM
fumecheng-449	292	35	,	,	PUNCT
fumecheng-449	292	36	pp	pp	ADJ
fumecheng-449	292	37	.	.	PUNCT
fumecheng-449	293	1	715	715	NUM
fumecheng-449	293	2	-	-	SYM
fumecheng-449	293	3	738	738	NUM
fumecheng-449	293	4	.	.	PUNCT
fumecheng-449	293	5	20	20	NUM
fumecheng-449	293	6	.	.	PUNCT
fumecheng-449	294	1	stoykov	stoykov	PROPN
fumecheng-449	294	2	s.	s.	PROPN
fumecheng-449	294	3	,	,	PUNCT
fumecheng-449	294	4	ribeiro	ribeiro	PROPN
fumecheng-449	294	5	p.	p.	PROPN
fumecheng-449	294	6	,	,	PUNCT
fumecheng-449	294	7	2010	2010	NUM
fumecheng-449	294	8	,	,	PUNCT
fumecheng-449	294	9	nonlinear	nonlinear	ADJ
fumecheng-449	294	10	forced	force	VERB
fumecheng-449	294	11	vibrations	vibration	NOUN
fumecheng-449	294	12	and	and	CCONJ
fumecheng-449	294	13	static	static	ADJ
fumecheng-449	294	14	deformations	deformation	NOUN
fumecheng-449	294	15	of	of	ADP
fumecheng-449	294	16	3d	3d	NUM
fumecheng-449	294	17	beams	beam	NOUN
fumecheng-449	294	18	with	with	ADP
fumecheng-449	294	19	rectangular	rectangular	PROPN
fumecheng-449	294	20	cross	cross	NOUN
fumecheng-449	294	21	section	section	NOUN
fumecheng-449	294	22	:	:	PUNCT
fumecheng-449	294	23	the	the	DET
fumecheng-449	294	24	influence	influence	NOUN
fumecheng-449	294	25	of	of	ADP
fumecheng-449	294	26	warping	warping	NOUN
fumecheng-449	294	27	,	,	PUNCT
fumecheng-449	294	28	shear	shear	ADJ
fumecheng-449	294	29	deformation	deformation	NOUN
fumecheng-449	294	30	and	and	CCONJ
fumecheng-449	294	31	longitudinal	longitudinal	ADJ
fumecheng-449	294	32	displacements	displacement	NOUN
fumecheng-449	294	33	,	,	PUNCT
fumecheng-449	294	34	international	international	ADJ
fumecheng-449	294	35	journal	journal	NOUN
fumecheng-449	294	36	of	of	ADP
fumecheng-449	294	37	mechanical	mechanical	ADJ
fumecheng-449	294	38	sciences	science	NOUN
fumecheng-449	294	39	,	,	PUNCT
fumecheng-449	294	40	52	52	NUM
fumecheng-449	294	41	,	,	PUNCT
fumecheng-449	294	42	pp	pp	ADJ
fumecheng-449	294	43	.	.	PUNCT
fumecheng-449	294	44	1505–1521	1505–1521	NUM
fumecheng-449	294	45	.	.	PUNCT
fumecheng-449	295	1	modes	mode	NOUN
fumecheng-449	295	2	of	of	ADP
fumecheng-449	295	3	vibration	vibration	NOUN
fumecheng-449	295	4	of	of	ADP
fumecheng-449	295	5	beams	beam	NOUN
fumecheng-449	295	6	under	under	ADP
fumecheng-449	295	7	the	the	DET
fumecheng-449	295	8	influence	influence	NOUN
fumecheng-449	295	9	of	of	ADP
fumecheng-449	295	10	variable	variable	ADJ
fumecheng-449	295	11	discontinuity	discontinuity	NOUN
fumecheng-449	295	12	in	in	ADP
fumecheng-449	295	13	foundation	foundation	NOUN
fumecheng-449	295	14	303	303	NUM
fumecheng-449	295	15	21	21	NUM
fumecheng-449	295	16	.	.	PUNCT
fumecheng-449	296	1	houmat	houmat	PROPN
fumecheng-449	296	2	a.	a.	PROPN
fumecheng-449	296	3	,	,	PUNCT
fumecheng-449	296	4	2005	2005	NUM
fumecheng-449	296	5	,	,	PUNCT
fumecheng-449	296	6	free	free	ADJ
fumecheng-449	296	7	vibration	vibration	NOUN
fumecheng-449	296	8	analysis	analysis	NOUN
fumecheng-449	296	9	of	of	ADP
fumecheng-449	296	10	membranes	membrane	NOUN
fumecheng-449	296	11	using	use	VERB
fumecheng-449	296	12	the	the	DET
fumecheng-449	296	13	h	h	NOUN
fumecheng-449	296	14	-	-	PUNCT
fumecheng-449	296	15	p	p	ADJ
fumecheng-449	296	16	version	version	NOUN
fumecheng-449	296	17	of	of	ADP
fumecheng-449	296	18	the	the	DET
fumecheng-449	296	19	finite	finite	PROPN
fumecheng-449	296	20	element	element	NOUN
fumecheng-449	296	21	method	method	NOUN
fumecheng-449	296	22	,	,	PUNCT
fumecheng-449	296	23	journal	journal	NOUN
fumecheng-449	296	24	of	of	ADP
fumecheng-449	296	25	sound	sound	NOUN
fumecheng-449	296	26	and	and	CCONJ
fumecheng-449	296	27	vibration	vibration	NOUN
fumecheng-449	296	28	,	,	PUNCT
fumecheng-449	296	29	282	282	NUM
fumecheng-449	296	30	,	,	PUNCT
fumecheng-449	296	31	pp	pp	ADJ
fumecheng-449	296	32	.	.	PUNCT
fumecheng-449	297	1	401	401	NUM
fumecheng-449	297	2	-	-	SYM
fumecheng-449	297	3	410	410	NUM
fumecheng-449	297	4	.	.	PUNCT
fumecheng-449	298	1	22	22	NUM
fumecheng-449	298	2	.	.	PUNCT
fumecheng-449	299	1	stojanović	stojanović	PROPN
fumecheng-449	300	1	v.	v.	PROPN
fumecheng-449	300	2	,	,	PUNCT
fumecheng-449	300	3	ribeiro	ribeiro	PROPN
fumecheng-449	300	4	p.	p.	PROPN
fumecheng-449	300	5	,	,	PUNCT
fumecheng-449	300	6	stoykov	stoykov	PROPN
fumecheng-449	300	7	s.	s.	PROPN
fumecheng-449	300	8	,	,	PUNCT
fumecheng-449	300	9	2013	2013	NUM
fumecheng-449	300	10	,	,	PUNCT
fumecheng-449	300	11	non	non	ADJ
fumecheng-449	300	12	-	-	ADJ
fumecheng-449	300	13	linear	linear	ADJ
fumecheng-449	300	14	vibration	vibration	NOUN
fumecheng-449	300	15	of	of	ADP
fumecheng-449	300	16	timoshenko	timoshenko	ADJ
fumecheng-449	300	17	damaged	damage	VERB
fumecheng-449	300	18	beams	beam	NOUN
fumecheng-449	300	19	by	by	ADP
fumecheng-449	300	20	a	a	DET
fumecheng-449	300	21	new	new	ADJ
fumecheng-449	300	22	p	p	ADJ
fumecheng-449	300	23	-	-	PUNCT
fumecheng-449	300	24	version	version	NOUN
fumecheng-449	300	25	finite	finite	NOUN
fumecheng-449	300	26	element	element	NOUN
fumecheng-449	300	27	method	method	NOUN
fumecheng-449	300	28	,	,	PUNCT
fumecheng-449	300	29	computers	computer	NOUN
fumecheng-449	300	30	&	&	CCONJ
fumecheng-449	300	31	structures	structure	NOUN
fumecheng-449	300	32	,	,	PUNCT
fumecheng-449	300	33	120	120	NUM
fumecheng-449	300	34	,	,	PUNCT
fumecheng-449	300	35	pp	pp	ADJ
fumecheng-449	300	36	.	.	PUNCT
fumecheng-449	301	1	107–119	107–119	NUM
fumecheng-449	301	2	.	.	NOUN
fumecheng-449	302	1	23	23	NUM
fumecheng-449	302	2	.	.	PUNCT
fumecheng-449	302	3	petyt	petyt	ADJ
fumecheng-449	302	4	m.	m.	NOUN
fumecheng-449	302	5	,	,	PUNCT
fumecheng-449	302	6	1990	1990	NUM
fumecheng-449	302	7	,	,	PUNCT
fumecheng-449	302	8	introduction	introduction	NOUN
fumecheng-449	302	9	to	to	PART
fumecheng-449	302	10	finite	finite	VERB
fumecheng-449	302	11	element	element	ADJ
fumecheng-449	302	12	vibration	vibration	NOUN
fumecheng-449	302	13	analysis	analysis	NOUN
fumecheng-449	302	14	,	,	PUNCT
fumecheng-449	302	15	cambridge	cambridge	PROPN
fumecheng-449	302	16	university	university	PROPN
fumecheng-449	302	17	press	press	PROPN
fumecheng-449	302	18	,	,	PUNCT
fumecheng-449	302	19	cambridge	cambridge	PROPN
fumecheng-449	302	20	.	.	PROPN
fumecheng-449	303	1	24	24	NUM
fumecheng-449	303	2	.	.	PUNCT
fumecheng-449	304	1	stojanović	stojanović	PROPN
fumecheng-449	305	1	v.	v.	PROPN
fumecheng-449	305	2	,	,	PUNCT
fumecheng-449	305	3	kozić	kozić	PROPN
fumecheng-449	305	4	p.	p.	PROPN
fumecheng-449	305	5	,	,	PUNCT
fumecheng-449	305	6	janevski	janevski	PROPN
fumecheng-449	305	7	g.	g.	PROPN
fumecheng-449	305	8	,	,	PUNCT
fumecheng-449	305	9	2013	2013	NUM
fumecheng-449	305	10	,	,	PUNCT
fumecheng-449	305	11	exact	exact	ADJ
fumecheng-449	305	12	closed	closed	ADJ
fumecheng-449	305	13	-	-	PUNCT
fumecheng-449	305	14	form	form	NOUN
fumecheng-449	305	15	solutions	solution	NOUN
fumecheng-449	305	16	for	for	ADP
fumecheng-449	305	17	the	the	DET
fumecheng-449	305	18	natural	natural	ADJ
fumecheng-449	305	19	frequencies	frequency	NOUN
fumecheng-449	305	20	and	and	CCONJ
fumecheng-449	305	21	stability	stability	NOUN
fumecheng-449	305	22	of	of	ADP
fumecheng-449	305	23	elastically	elastically	ADV
fumecheng-449	305	24	connected	connect	VERB
fumecheng-449	305	25	multiple	multiple	ADJ
fumecheng-449	305	26	beam	beam	NOUN
fumecheng-449	305	27	system	system	NOUN
fumecheng-449	305	28	using	use	VERB
fumecheng-449	305	29	timoshenko	timoshenko	NOUN
fumecheng-449	305	30	and	and	CCONJ
fumecheng-449	305	31	high	high	ADJ
fumecheng-449	305	32	order	order	NOUN
fumecheng-449	305	33	shear	shear	NOUN
fumecheng-449	305	34	deformation	deformation	NOUN
fumecheng-449	305	35	theory	theory	NOUN
fumecheng-449	305	36	,	,	PUNCT
fumecheng-449	305	37	journal	journal	NOUN
fumecheng-449	305	38	of	of	ADP
fumecheng-449	305	39	sound	sound	NOUN
fumecheng-449	305	40	and	and	CCONJ
fumecheng-449	305	41	vibration	vibration	NOUN
fumecheng-449	305	42	,	,	PUNCT
fumecheng-449	305	43	332	332	NUM
fumecheng-449	305	44	,	,	PUNCT
fumecheng-449	305	45	pp	pp	ADJ
fumecheng-449	305	46	.	.	PUNCT
fumecheng-449	306	1	563	563	NUM
fumecheng-449	306	2	-	-	SYM
fumecheng-449	306	3	576	576	NUM
fumecheng-449	306	4	.	.	PUNCT
fumecheng-449	307	1	25	25	NUM
fumecheng-449	307	2	.	.	PUNCT
fumecheng-449	307	3	ansys	ansys	PROPN
fumecheng-449	307	4	,	,	PUNCT
fumecheng-449	307	5	2009	2009	NUM
fumecheng-449	307	6	,	,	PUNCT
fumecheng-449	307	7	workbench	workbench	NOUN
fumecheng-449	307	8	user	user	NOUN
fumecheng-449	307	9	’s	’s	PART
fumecheng-449	307	10	guide	guide	NOUN
fumecheng-449	307	11	.	.	PUNCT
fumecheng-449	308	1	26	26	NUM
fumecheng-449	308	2	.	.	PUNCT
fumecheng-449	309	1	kaneko	kaneko	PROPN
fumecheng-449	309	2	t.	t.	PROPN
fumecheng-449	309	3	,	,	PUNCT
fumecheng-449	309	4	1975	1975	NUM
fumecheng-449	309	5	,	,	PUNCT
fumecheng-449	309	6	on	on	ADP
fumecheng-449	309	7	timoshenko	timoshenko	NOUN
fumecheng-449	309	8	’s	’s	PART
fumecheng-449	309	9	correction	correction	NOUN
fumecheng-449	309	10	for	for	ADP
fumecheng-449	309	11	shear	shear	NOUN
fumecheng-449	309	12	in	in	ADP
fumecheng-449	309	13	vibrating	vibrating	NOUN
fumecheng-449	309	14	beams	beam	NOUN
fumecheng-449	309	15	,	,	PUNCT
fumecheng-449	309	16	journal	journal	NOUN
fumecheng-449	309	17	of	of	ADP
fumecheng-449	309	18	physics	physics	PROPN
fumecheng-449	309	19	d	d	PROPN
fumecheng-449	309	20	,	,	PUNCT
fumecheng-449	309	21	8	8	NUM
fumecheng-449	309	22	,	,	PUNCT
fumecheng-449	309	23	pp	pp	ADJ
fumecheng-449	309	24	.	.	PUNCT
fumecheng-449	310	1	1927–1936	1927–1936	NUM
fumecheng-449	310	2	.	.	PUNCT
fumecheng-449	311	1	27	27	NUM
fumecheng-449	311	2	.	.	PUNCT
fumecheng-449	312	1	hutchinson	hutchinson	PROPN
fumecheng-449	312	2	jr	jr	PROPN
fumecheng-449	312	3	.	.	PROPN
fumecheng-449	312	4	,	,	PUNCT
fumecheng-449	312	5	2001	2001	NUM
fumecheng-449	312	6	,	,	PUNCT
fumecheng-449	312	7	shear	shear	NOUN
fumecheng-449	312	8	coefficients	coefficient	NOUN
fumecheng-449	312	9	for	for	ADP
fumecheng-449	312	10	timoshenko	timoshenko	ADJ
fumecheng-449	312	11	beam	beam	NOUN
fumecheng-449	312	12	theory	theory	NOUN
fumecheng-449	312	13	,	,	PUNCT
fumecheng-449	312	14	journal	journal	NOUN
fumecheng-449	312	15	of	of	ADP
fumecheng-449	312	16	applied	apply	VERB
fumecheng-449	312	17	mechanics	mechanic	NOUN
fumecheng-449	312	18	,	,	PUNCT
fumecheng-449	312	19	68	68	NUM
fumecheng-449	312	20	,	,	PUNCT
fumecheng-449	312	21	pp	pp	ADJ
fumecheng-449	312	22	.	.	PUNCT
fumecheng-449	313	1	87–92	87–92	NUM
fumecheng-449	313	2	.	.	PUNCT
fumecheng-449	314	1	28	28	NUM
fumecheng-449	314	2	.	.	PUNCT
fumecheng-449	315	1	wolfe	wolfe	PROPN
fumecheng-449	315	2	h.	h.	PROPN
fumecheng-449	315	3	,	,	PUNCT
fumecheng-449	315	4	1995	1995	NUM
fumecheng-449	315	5	,	,	PUNCT
fumecheng-449	315	6	an	an	DET
fumecheng-449	315	7	experimental	experimental	ADJ
fumecheng-449	315	8	investigation	investigation	NOUN
fumecheng-449	315	9	of	of	ADP
fumecheng-449	315	10	nonlinear	nonlinear	ADJ
fumecheng-449	315	11	behaviour	behaviour	NOUN
fumecheng-449	315	12	of	of	ADP
fumecheng-449	315	13	beams	beam	NOUN
fumecheng-449	315	14	and	and	CCONJ
fumecheng-449	315	15	plates	plate	NOUN
fumecheng-449	315	16	excited	excited	ADJ
fumecheng-449	315	17	to	to	ADP
fumecheng-449	315	18	high	high	ADJ
fumecheng-449	315	19	levels	level	NOUN
fumecheng-449	315	20	of	of	ADP
fumecheng-449	315	21	dynamic	dynamic	ADJ
fumecheng-449	315	22	response	response	NOUN
fumecheng-449	315	23	,	,	PUNCT
fumecheng-449	315	24	phd	phd	NOUN
fumecheng-449	315	25	thesis	thesis	NOUN
fumecheng-449	315	26	,	,	PUNCT
fumecheng-449	315	27	university	university	NOUN
fumecheng-449	315	28	of	of	ADP
fumecheng-449	315	29	southampton	southampton	PROPN
fumecheng-449	315	30	.	.	PUNCT
fumecheng-449	316	1	29	29	NUM
fumecheng-449	316	2	.	.	PUNCT
fumecheng-449	317	1	wang	wang	PROPN
fumecheng-449	317	2	c.	c.	PROPN
fumecheng-449	317	3	m.	m.	PROPN
fumecheng-449	317	4	,	,	PUNCT
fumecheng-449	317	5	reddy	reddy	PROPN
fumecheng-449	317	6	j.	j.	PROPN
fumecheng-449	317	7	n.	n.	PROPN
fumecheng-449	317	8	and	and	CCONJ
fumecheng-449	317	9	lee	lee	PROPN
fumecheng-449	317	10	k.	k.	PROPN
fumecheng-449	317	11	h.	h.	PROPN
fumecheng-449	317	12	,	,	PUNCT
fumecheng-449	317	13	2000	2000	NUM
fumecheng-449	317	14	,	,	PUNCT
fumecheng-449	317	15	shear	shear	VERB
fumecheng-449	317	16	deformable	deformable	ADJ
fumecheng-449	317	17	beams	beam	NOUN
fumecheng-449	317	18	and	and	CCONJ
fumecheng-449	317	19	plates	plate	NOUN
fumecheng-449	317	20	,	,	PUNCT
fumecheng-449	317	21	elsevier	elsevier	NOUN
fumecheng-449	317	22	,	,	PUNCT
fumecheng-449	317	23	relationships	relationship	NOUN
fumecheng-449	317	24	with	with	ADP
fumecheng-449	317	25	classical	classical	ADJ
fumecheng-449	317	26	solutions	solution	NOUN
fumecheng-449	317	27	.	.	PUNCT
fumecheng-449	318	1	modovi	modovi	PROPN
fumecheng-449	318	2	oscilacija	oscilacija	PROPN
fumecheng-449	318	3	nosača	nosača	PROPN
fumecheng-449	318	4	pod	pod	PROPN
fumecheng-449	318	5	uticajem	uticajem	NOUN
fumecheng-449	318	6	promenljivog	promenljivog	NOUN
fumecheng-449	318	7	diskontinuiteta	diskontinuiteta	VERB
fumecheng-449	318	8	u	u	PRON
fumecheng-449	318	9	podlozi	podlozi	NOUN
fumecheng-449	318	10	oscilacije	oscilacije	VERB
fumecheng-449	318	11	nosača	nosača	ADJ
fumecheng-449	318	12	timoshenko	timoshenko	NOUN
fumecheng-449	318	13	-	-	PUNCT
fumecheng-449	318	14	vog	vog	PROPN
fumecheng-449	318	15	tipa	tipa	PROPN
fumecheng-449	318	16	na	na	PUNCT
fumecheng-449	318	17	winkler	winkler	PROPN
fumecheng-449	318	18	-	-	PUNCT
fumecheng-449	318	19	ovoj	ovoj	PROPN
fumecheng-449	318	20	i	i	PROPN
fumecheng-449	318	21	pasternak	pasternak	PROPN
fumecheng-449	318	22	-	-	PUNCT
fumecheng-449	318	23	ovoj	ovoj	PROPN
fumecheng-449	318	24	podlozi	podlozi	PROPN
fumecheng-449	318	25	sa	sa	PROPN
fumecheng-449	318	26	promenljivim	promenljivim	PROPN
fumecheng-449	318	27	diskontinuitetom	diskontinuitetom	PROPN
fumecheng-449	318	28	razmatrane	razmatrane	PROPN
fumecheng-449	318	29	su	su	PROPN
fumecheng-449	318	30	u	u	PROPN
fumecheng-449	318	31	ovom	ovom	PROPN
fumecheng-449	318	32	radu	radu	PROPN
fumecheng-449	318	33	.	.	PROPN
fumecheng-449	318	34	razvijena	razvijena	PROPN
fumecheng-449	318	35	je	je	PROPN
fumecheng-449	318	36	p	p	PROPN
fumecheng-449	318	37	-	-	PUNCT
fumecheng-449	318	38	verzija	verzija	NOUN
fumecheng-449	318	39	metode	metode	PROPN
fumecheng-449	318	40	konačnih	konačnih	PROPN
fumecheng-449	318	41	elemenata	elemenata	PROPN
fumecheng-449	318	42	za	za	PROPN
fumecheng-449	318	43	oscilacije	oscilacije	PROPN
fumecheng-449	318	44	deformabilnih	deformabilnih	PROPN
fumecheng-449	318	45	nosača	nosača	PROPN
fumecheng-449	318	46	na	na	AUX
fumecheng-449	318	47	elastičnoj	elastičnoj	VERB
fumecheng-449	318	48	podlozi	podlozi	NOUN
fumecheng-449	318	49	.	.	PUNCT
fumecheng-449	319	1	u	u	PRON
fumecheng-449	319	2	studiji	studiji	PROPN
fumecheng-449	319	3	je	je	PROPN
fumecheng-449	319	4	korišćen	korišćen	PROPN
fumecheng-449	319	5	pelement	pelement	PROPN
fumecheng-449	319	6	koji	koji	PROPN
fumecheng-449	319	7	je	je	PROPN
fumecheng-449	319	8	proizašao	proizašao	PROPN
fumecheng-449	319	9	upotrebom	upotrebom	PROPN
fumecheng-449	319	10	posebno	posebno	PROPN
fumecheng-449	319	11	razvijenih	razvijenih	PROPN
fumecheng-449	319	12	oblika	oblika	PROPN
fumecheng-449	319	13	funkcija	funkcija	PROPN
fumecheng-449	319	14	primenjenih	primenjenih	NOUN
fumecheng-449	319	15	na	na	ADP
fumecheng-449	319	16	nosačima	nosačima	PROPN
fumecheng-449	319	17	sa	sa	PROPN
fumecheng-449	319	18	oštećenjem	oštećenjem	PROPN
fumecheng-449	320	1	i	i	PRON
fumecheng-449	320	2	upotrebljen	upotrebljen	INTJ
fumecheng-449	321	1	na	na	INTJ
fumecheng-449	321	2	modelu	modelu	PROPN
fumecheng-449	321	3	sa	sa	PROPN
fumecheng-449	321	4	osnovom	osnovom	PROPN
fumecheng-449	321	5	koja	koja	PROPN
fumecheng-449	321	6	sadrži	sadrži	PROPN
fumecheng-449	321	7	diskontinuitet	diskontinuitet	PROPN
fumecheng-449	321	8	.	.	PUNCT
fumecheng-449	322	1	novina	novina	PROPN
fumecheng-449	322	2	ove	ove	PROPN
fumecheng-449	322	3	studije	studije	PROPN
fumecheng-449	322	4	predstavlja	predstavlja	PROPN
fumecheng-449	322	5	laku	laku	PROPN
fumecheng-449	322	6	generalizaciju	generalizaciju	NOUN
fumecheng-449	322	7	pristupa	pristupa	NOUN
fumecheng-449	322	8	pri	pri	PROPN
fumecheng-449	322	9	određivanju	određivanju	PROPN
fumecheng-449	322	10	prirodnih	prirodnih	PROPN
fumecheng-449	322	11	frekvencija	frekvencija	PROPN
fumecheng-449	322	12	,	,	PUNCT
fumecheng-449	322	13	opštih	opštih	X
fumecheng-449	322	14	oblika	oblika	X
fumecheng-449	322	15	oscilovanja	oscilovanja	ADV
fumecheng-449	322	16	(	(	PUNCT
fumecheng-449	322	17	transverzalnih	transverzalnih	ADV
fumecheng-449	323	1	i	i	PRON
fumecheng-449	323	2	rotacija	rotacija	VERB
fumecheng-449	323	3	poprečnih	poprečnih	PROPN
fumecheng-449	323	4	preseka	preseka	PROPN
fumecheng-449	323	5	)	)	PUNCT
fumecheng-449	323	6	nosača	nosača	PROPN
fumecheng-449	323	7	za	za	PROPN
fumecheng-449	323	8	proizvoljno	proizvoljno	PROPN
fumecheng-449	323	9	izabrane	izabrane	PROPN
fumecheng-449	323	10	veličine	veličine	PROPN
fumecheng-449	323	11	i	i	PRON
fumecheng-449	323	12	lokacije	lokacije	VERB
fumecheng-449	323	13	diskontinuiteta	diskontinuiteta	PROPN
fumecheng-449	323	14	.	.	PUNCT
fumecheng-449	324	1	izveden	izveden	PROPN
fumecheng-449	324	2	je	je	PROPN
fumecheng-449	324	3	sistem	sistem	PROPN
fumecheng-449	324	4	parcijalnih	parcijalnih	PROPN
fumecheng-449	324	5	diferencijalnih	diferencijalnih	PROPN
fumecheng-449	324	6	jednačina	jednačina	PROPN
fumecheng-449	324	7	koji	koji	PROPN
fumecheng-449	324	8	omogućava	omogućava	PROPN
fumecheng-449	324	9	dalje	dalje	PROPN
fumecheng-449	324	10	istraživanje	istraživanje	PROPN
fumecheng-449	324	11	u	u	PROPN
fumecheng-449	324	12	nelinearnom	nelinearnom	PROPN
fumecheng-449	324	13	vremenskom	vremenskom	PROPN
fumecheng-449	324	14	domenu	domenu	PROPN
fumecheng-449	324	15	oscilovanja	oscilovanja	NOUN
fumecheng-449	324	16	.	.	PUNCT
fumecheng-449	325	1	u	u	PROPN
fumecheng-449	325	2	radu	radu	PROPN
fumecheng-449	325	3	su	su	PROPN
fumecheng-449	325	4	prikazana	prikazana	PROPN
fumecheng-449	325	5	poređenja	poređenja	PROPN
fumecheng-449	325	6	rezultata	rezultata	VERB
fumecheng-449	325	7	sa	sa	PROPN
fumecheng-449	325	8	različitim	različitim	PROPN
fumecheng-449	325	9	vrednostima	vrednostima	PROPN
fumecheng-449	325	10	krutosti	krutosti	VERB
fumecheng-449	325	11	nelinearne	nelinearne	ADJ
fumecheng-449	325	12	elastične	elastične	NOUN
fumecheng-449	325	13	osnove	osnove	ADJ
fumecheng-449	325	14	winkler	winkler	NOUN
fumecheng-449	325	15	-	-	PUNCT
fumecheng-449	325	16	ovog	ovog	NOUN
fumecheng-449	325	17	i	i	PRON
fumecheng-449	325	18	pasternak	pasternak	NOUN
fumecheng-449	325	19	-	-	PUNCT
fumecheng-449	325	20	ovog	ovog	NOUN
fumecheng-449	325	21	tipa	tipa	NOUN
fumecheng-449	325	22	.	.	PUNCT
fumecheng-449	326	1	ključne	ključne	PROPN
fumecheng-449	326	2	reči	reči	NOUN
fumecheng-449	326	3	:	:	PUNCT
fumecheng-449	326	4	p	p	NUM
fumecheng-449	326	5	-	-	PUNCT
fumecheng-449	326	6	verzija	verzija	NOUN
fumecheng-449	326	7	mke	mke	PROPN
fumecheng-449	326	8	,	,	PUNCT
fumecheng-449	326	9	osnovni	osnovni	PROPN
fumecheng-449	326	10	oblik	oblik	PROPN
fumecheng-449	326	11	oscilovanja	oscilovanja	ADP
fumecheng-449	326	12	,	,	PUNCT
fumecheng-449	326	13	prirodna	prirodna	ADV
fumecheng-449	326	14	frekvencija	frekvencija	ADJ
fumecheng-449	326	15	,	,	PUNCT
fumecheng-449	326	16	diskontinuitet	diskontinuitet	NOUN
fumecheng-449	326	17	,	,	PUNCT
fumecheng-449	326	18	oscilacije	oscilacije	NOUN
fumecheng-449	326	19	.	.	PUNCT