id	sid	tid	token	lemma	pos
fumecheng-8241	1	1	8241	8241	NUM
fumecheng-8241	1	2	facta	facta	PROPN
fumecheng-8241	1	3	universitatis	universitatis	PROPN
fumecheng-8241	1	4	series	series	NOUN
fumecheng-8241	1	5	:	:	PUNCT
fumecheng-8241	1	6	mechanical	mechanical	ADJ
fumecheng-8241	1	7	engineering	engineering	NOUN
fumecheng-8241	1	8	https://doi.org/10.22190/fume220320037	https://doi.org/10.22190/fume220320037	PROPN
fumecheng-8241	1	9	t	t	PROPN
fumecheng-8241	1	10	©	©	PROPN
fumecheng-8241	1	11	2021	2021	NUM
fumecheng-8241	1	12	by	by	ADP
fumecheng-8241	1	13	university	university	PROPN
fumecheng-8241	1	14	of	of	ADP
fumecheng-8241	1	15	niš	niš	PROPN
fumecheng-8241	1	16	,	,	PUNCT
fumecheng-8241	1	17	serbia	serbia	PROPN
fumecheng-8241	1	18	|	|	ADV
fumecheng-8241	1	19	creative	creative	ADJ
fumecheng-8241	1	20	commons	common	NOUN
fumecheng-8241	1	21	license	license	NOUN
fumecheng-8241	1	22	:	:	PUNCT
fumecheng-8241	1	23	cc	cc	VERB
fumecheng-8241	1	24	by	by	ADP
fumecheng-8241	1	25	-	-	PUNCT
fumecheng-8241	1	26	nc	nc	VERB
fumecheng-8241	1	27	-	-	PUNCT
fumecheng-8241	1	28	nd	nd	ADV
fumecheng-8241	1	29	original	original	ADJ
fumecheng-8241	1	30	scientific	scientific	ADJ
fumecheng-8241	1	31	paper	paper	VERB
fumecheng-8241	1	32	analytic	analytic	ADJ
fumecheng-8241	1	33	approximate	approximate	ADJ
fumecheng-8241	1	34	solution	solution	NOUN
fumecheng-8241	1	35	for	for	ADP
fumecheng-8241	1	36	nonlinear	nonlinear	ADJ
fumecheng-8241	1	37	dynamicmodeling	dynamicmodeling	NOUN
fumecheng-8241	1	38	of	of	ADP
fumecheng-8241	1	39	the	the	DET
fumecheng-8241	1	40	rotating	rotate	VERB
fumecheng-8241	1	41	elastic	elastic	ADJ
fumecheng-8241	1	42	2d	2d	NOUN
fumecheng-8241	1	43	beam	beam	NOUN
fumecheng-8241	1	44	with	with	ADP
fumecheng-8241	1	45	a	a	DET
fumecheng-8241	1	46	single	single	ADJ
fumecheng-8241	1	47	crack	crack	NOUN
fumecheng-8241	1	48	arash	arash	PROPN
fumecheng-8241	1	49	tavakoli	tavakoli	NOUN
fumecheng-8241	1	50	maleki1	maleki1	PROPN
fumecheng-8241	1	51	,	,	PUNCT
fumecheng-8241	1	52	milad	milad	NOUN
fumecheng-8241	1	53	azimi2	azimi2	PROPN
fumecheng-8241	1	54	,	,	PUNCT
fumecheng-8241	1	55	samad	samad	PROPN
fumecheng-8241	1	56	moradi3	moradi3	PROPN
fumecheng-8241	1	57	1k.n	1k.n	NUM
fumecheng-8241	1	58	.	.	NOUN
fumecheng-8241	1	59	toosi	toosi	PROPN
fumecheng-8241	1	60	university	university	PROPN
fumecheng-8241	1	61	of	of	ADP
fumecheng-8241	1	62	technology	technology	PROPN
fumecheng-8241	1	63	,	,	PUNCT
fumecheng-8241	1	64	tehran	tehran	PROPN
fumecheng-8241	1	65	,	,	PUNCT
fumecheng-8241	1	66	iran	iran	PROPN
fumecheng-8241	1	67	2aerospace	2aerospace	NUM
fumecheng-8241	1	68	research	research	NOUN
fumecheng-8241	1	69	institute	institute	NOUN
fumecheng-8241	1	70	(	(	PUNCT
fumecheng-8241	1	71	ministry	ministry	PROPN
fumecheng-8241	1	72	of	of	ADP
fumecheng-8241	1	73	science	science	PROPN
fumecheng-8241	1	74	,	,	PUNCT
fumecheng-8241	1	75	research	research	NOUN
fumecheng-8241	1	76	,	,	PUNCT
fumecheng-8241	1	77	and	and	CCONJ
fumecheng-8241	1	78	technology	technology	NOUN
fumecheng-8241	1	79	)	)	PUNCT
fumecheng-8241	1	80	,	,	PUNCT
fumecheng-8241	1	81	tehran	tehran	PROPN
fumecheng-8241	1	82	,	,	PUNCT
fumecheng-8241	1	83	iran	iran	PROPN
fumecheng-8241	1	84	3islamic	3islamic	PROPN
fumecheng-8241	1	85	azad	azad	PROPN
fumecheng-8241	1	86	university	university	PROPN
fumecheng-8241	1	87	,	,	PUNCT
fumecheng-8241	1	88	north	north	NOUN
fumecheng-8241	1	89	tehran	tehran	PROPN
fumecheng-8241	1	90	branch	branch	NOUN
fumecheng-8241	1	91	,	,	PUNCT
fumecheng-8241	1	92	tehran	tehran	PROPN
fumecheng-8241	1	93	,	,	PUNCT
fumecheng-8241	1	94	iran	iran	PROPN
fumecheng-8241	1	95	abstract	abstract	ADJ
fumecheng-8241	1	96	.	.	PUNCT
fumecheng-8241	2	1	in	in	ADP
fumecheng-8241	2	2	this	this	DET
fumecheng-8241	2	3	paper	paper	NOUN
fumecheng-8241	2	4	,	,	PUNCT
fumecheng-8241	2	5	the	the	DET
fumecheng-8241	2	6	2d	2d	NUM
fumecheng-8241	2	7	lateral	lateral	ADJ
fumecheng-8241	2	8	vibration	vibration	NOUN
fumecheng-8241	2	9	analysis	analysis	NOUN
fumecheng-8241	2	10	of	of	ADP
fumecheng-8241	2	11	a	a	DET
fumecheng-8241	2	12	rotating	rotate	VERB
fumecheng-8241	2	13	cracked	crack	VERB
fumecheng-8241	2	14	beam	beam	NOUN
fumecheng-8241	2	15	as	as	ADP
fumecheng-8241	2	16	a	a	DET
fumecheng-8241	2	17	rotary	rotary	ADJ
fumecheng-8241	2	18	structure	structure	NOUN
fumecheng-8241	2	19	is	be	AUX
fumecheng-8241	2	20	investigated	investigate	VERB
fumecheng-8241	2	21	through	through	ADP
fumecheng-8241	2	22	the	the	DET
fumecheng-8241	2	23	homotopy	homotopy	NOUN
fumecheng-8241	2	24	perturbation	perturbation	NOUN
fumecheng-8241	2	25	analysis	analysis	NOUN
fumecheng-8241	2	26	and	and	CCONJ
fumecheng-8241	2	27	compared	compare	VERB
fumecheng-8241	2	28	with	with	ADP
fumecheng-8241	2	29	the	the	DET
fumecheng-8241	2	30	numerical	numerical	PROPN
fumecheng-8241	2	31	newmark	newmark	PROPN
fumecheng-8241	2	32	-	-	PUNCT
fumecheng-8241	2	33	beta	beta	PROPN
fumecheng-8241	2	34	(	(	PUNCT
fumecheng-8241	2	35	nβ	nβ	NOUN
fumecheng-8241	2	36	)	)	PUNCT
fumecheng-8241	2	37	algorithm	algorithm	NOUN
fumecheng-8241	2	38	.	.	PUNCT
fumecheng-8241	3	1	the	the	DET
fumecheng-8241	3	2	structure	structure	NOUN
fumecheng-8241	3	3	and	and	CCONJ
fumecheng-8241	3	4	crack	crack	NOUN
fumecheng-8241	3	5	are	be	AUX
fumecheng-8241	3	6	modeled	model	VERB
fumecheng-8241	3	7	as	as	ADP
fumecheng-8241	3	8	the	the	DET
fumecheng-8241	3	9	euler	euler	NOUN
fumecheng-8241	3	10	-	-	PUNCT
fumecheng-8241	3	11	bernoulli	bernoulli	PROPN
fumecheng-8241	3	12	(	(	PUNCT
fumecheng-8241	3	13	eb	eb	PROPN
fumecheng-8241	3	14	)	)	PUNCT
fumecheng-8241	3	15	theory	theory	NOUN
fumecheng-8241	3	16	and	and	CCONJ
fumecheng-8241	3	17	simple	simple	ADJ
fumecheng-8241	3	18	torsional	torsional	ADJ
fumecheng-8241	3	19	spring	spring	NOUN
fumecheng-8241	3	20	,	,	PUNCT
fumecheng-8241	3	21	respectively	respectively	ADV
fumecheng-8241	3	22	.	.	PUNCT
fumecheng-8241	4	1	the	the	DET
fumecheng-8241	4	2	nonlinear	nonlinear	ADJ
fumecheng-8241	4	3	equations	equation	NOUN
fumecheng-8241	4	4	of	of	ADP
fumecheng-8241	4	5	motion	motion	NOUN
fumecheng-8241	4	6	are	be	AUX
fumecheng-8241	4	7	derived	derive	VERB
fumecheng-8241	4	8	using	use	VERB
fumecheng-8241	4	9	galerkin	galerkin	NOUN
fumecheng-8241	4	10	and	and	CCONJ
fumecheng-8241	4	11	the	the	DET
fumecheng-8241	4	12	assumed	assumed	ADJ
fumecheng-8241	4	13	mode	mode	NOUN
fumecheng-8241	4	14	method	method	NOUN
fumecheng-8241	4	15	(	(	PUNCT
fumecheng-8241	4	16	amm	amm	PROPN
fumecheng-8241	4	17	)	)	PUNCT
fumecheng-8241	4	18	.	.	PUNCT
fumecheng-8241	5	1	the	the	DET
fumecheng-8241	5	2	system	system	NOUN
fumecheng-8241	5	3	’s	’s	PART
fumecheng-8241	5	4	stability	stability	NOUN
fumecheng-8241	5	5	is	be	AUX
fumecheng-8241	5	6	analyzed	analyze	VERB
fumecheng-8241	5	7	through	through	ADP
fumecheng-8241	5	8	phase	phase	NOUN
fumecheng-8241	5	9	plane	plane	NOUN
fumecheng-8241	5	10	and	and	CCONJ
fumecheng-8241	5	11	time	time	NOUN
fumecheng-8241	5	12	response	response	NOUN
fumecheng-8241	5	13	for	for	ADP
fumecheng-8241	5	14	different	different	ADJ
fumecheng-8241	5	15	angular	angular	ADJ
fumecheng-8241	5	16	velocities	velocity	NOUN
fumecheng-8241	5	17	of	of	ADP
fumecheng-8241	5	18	the	the	DET
fumecheng-8241	5	19	base	base	NOUN
fumecheng-8241	5	20	,	,	PUNCT
fumecheng-8241	5	21	initial	initial	ADJ
fumecheng-8241	5	22	values	value	NOUN
fumecheng-8241	5	23	,	,	PUNCT
fumecheng-8241	5	24	external	external	ADJ
fumecheng-8241	5	25	disturbances	disturbance	NOUN
fumecheng-8241	5	26	,	,	PUNCT
fumecheng-8241	5	27	crack	crack	VERB
fumecheng-8241	5	28	stiffness	stiffness	NOUN
fumecheng-8241	5	29	,	,	PUNCT
fumecheng-8241	5	30	and	and	CCONJ
fumecheng-8241	5	31	locations	location	NOUN
fumecheng-8241	5	32	.	.	PUNCT
fumecheng-8241	6	1	a	a	DET
fumecheng-8241	6	2	comparative	comparative	ADJ
fumecheng-8241	6	3	study	study	NOUN
fumecheng-8241	6	4	presents	present	VERB
fumecheng-8241	6	5	simulation	simulation	NOUN
fumecheng-8241	6	6	results	result	VERB
fumecheng-8241	6	7	for	for	ADP
fumecheng-8241	6	8	free	free	ADJ
fumecheng-8241	6	9	(	(	PUNCT
fumecheng-8241	6	10	first	first	ADJ
fumecheng-8241	6	11	nonlinear	nonlinear	ADJ
fumecheng-8241	6	12	frequency	frequency	NOUN
fumecheng-8241	6	13	)	)	PUNCT
fumecheng-8241	6	14	and	and	CCONJ
fumecheng-8241	6	15	forced	force	VERB
fumecheng-8241	6	16	vibration	vibration	NOUN
fumecheng-8241	6	17	.	.	PUNCT
fumecheng-8241	7	1	it	it	PRON
fumecheng-8241	7	2	is	be	AUX
fumecheng-8241	7	3	shown	show	VERB
fumecheng-8241	7	4	that	that	SCONJ
fumecheng-8241	7	5	the	the	DET
fumecheng-8241	7	6	proposed	propose	VERB
fumecheng-8241	7	7	semi	semi	ADJ
fumecheng-8241	7	8	-	-	ADJ
fumecheng-8241	7	9	analytical	analytical	ADJ
fumecheng-8241	7	10	approach	approach	NOUN
fumecheng-8241	7	11	is	be	AUX
fumecheng-8241	7	12	beneficial	beneficial	ADJ
fumecheng-8241	7	13	as	as	SCONJ
fumecheng-8241	7	14	it	it	PRON
fumecheng-8241	7	15	provides	provide	VERB
fumecheng-8241	7	16	a	a	DET
fumecheng-8241	7	17	benchmark	benchmark	NOUN
fumecheng-8241	7	18	for	for	ADP
fumecheng-8241	7	19	a	a	DET
fumecheng-8241	7	20	more	more	ADV
fumecheng-8241	7	21	precise	precise	ADJ
fumecheng-8241	7	22	analysis	analysis	NOUN
fumecheng-8241	7	23	and	and	CCONJ
fumecheng-8241	7	24	further	further	ADJ
fumecheng-8241	7	25	investigation	investigation	NOUN
fumecheng-8241	7	26	of	of	ADP
fumecheng-8241	7	27	cracked	crack	VERB
fumecheng-8241	7	28	rotary	rotary	ADJ
fumecheng-8241	7	29	structures	structure	NOUN
fumecheng-8241	7	30	.	.	PUNCT
fumecheng-8241	8	1	key	key	ADJ
fumecheng-8241	8	2	words	word	NOUN
fumecheng-8241	8	3	:	:	PUNCT
fumecheng-8241	8	4	assumed	assume	VERB
fumecheng-8241	8	5	mode	mode	NOUN
fumecheng-8241	8	6	,	,	PUNCT
fumecheng-8241	8	7	crack	crack	NOUN
fumecheng-8241	8	8	,	,	PUNCT
fumecheng-8241	8	9	homotopy	homotopy	VERB
fumecheng-8241	8	10	perturbation	perturbation	NOUN
fumecheng-8241	8	11	,	,	PUNCT
fumecheng-8241	8	12	newmark	newmark	NOUN
fumecheng-8241	8	13	-	-	PUNCT
fumecheng-8241	8	14	beta	beta	NOUN
fumecheng-8241	8	15	,	,	PUNCT
fumecheng-8241	8	16	nonlinear	nonlinear	ADJ
fumecheng-8241	8	17	vibration	vibration	NOUN
fumecheng-8241	8	18	,	,	PUNCT
fumecheng-8241	8	19	rotating	rotate	VERB
fumecheng-8241	8	20	beam	beam	NOUN
fumecheng-8241	8	21	1	1	NUM
fumecheng-8241	8	22	.	.	PUNCT
fumecheng-8241	9	1	introduction	introduction	NOUN
fumecheng-8241	9	2	dynamic	dynamic	ADJ
fumecheng-8241	9	3	modeling	modeling	NOUN
fumecheng-8241	9	4	and	and	CCONJ
fumecheng-8241	9	5	vibration	vibration	NOUN
fumecheng-8241	9	6	analysis	analysis	NOUN
fumecheng-8241	9	7	of	of	ADP
fumecheng-8241	9	8	rotating	rotate	VERB
fumecheng-8241	9	9	structures	structure	NOUN
fumecheng-8241	9	10	,	,	PUNCT
fumecheng-8241	9	11	including	include	VERB
fumecheng-8241	9	12	rotor	rotor	NOUN
fumecheng-8241	9	13	blades	blade	NOUN
fumecheng-8241	9	14	,	,	PUNCT
fumecheng-8241	9	15	helicopters	helicopter	NOUN
fumecheng-8241	9	16	,	,	PUNCT
fumecheng-8241	9	17	flexible	flexible	ADJ
fumecheng-8241	9	18	spacecraft	spacecraft	NOUN
fumecheng-8241	9	19	,	,	PUNCT
fumecheng-8241	9	20	flexible	flexible	ADJ
fumecheng-8241	9	21	link	link	NOUN
fumecheng-8241	9	22	manipulators	manipulator	NOUN
fumecheng-8241	9	23	,	,	PUNCT
fumecheng-8241	9	24	wind	wind	NOUN
fumecheng-8241	9	25	turbines	turbine	NOUN
fumecheng-8241	9	26	,	,	PUNCT
fumecheng-8241	9	27	etc	etc	X
fumecheng-8241	9	28	.	.	X
fumecheng-8241	9	29	(	(	PUNCT
fumecheng-8241	9	30	for	for	ADP
fumecheng-8241	9	31	aviation	aviation	NOUN
fumecheng-8241	9	32	,	,	PUNCT
fumecheng-8241	9	33	space	space	NOUN
fumecheng-8241	9	34	,	,	PUNCT
fumecheng-8241	9	35	and	and	CCONJ
fumecheng-8241	9	36	power	power	NOUN
fumecheng-8241	9	37	generation	generation	NOUN
fumecheng-8241	9	38	industries	industry	NOUN
fumecheng-8241	9	39	)	)	PUNCT
fumecheng-8241	9	40	,	,	PUNCT
fumecheng-8241	9	41	have	have	AUX
fumecheng-8241	9	42	been	be	AUX
fumecheng-8241	9	43	extensively	extensively	ADV
fumecheng-8241	9	44	studied	study	VERB
fumecheng-8241	9	45	.	.	PUNCT
fumecheng-8241	10	1	however	however	ADV
fumecheng-8241	10	2	,	,	PUNCT
fumecheng-8241	10	3	they	they	PRON
fumecheng-8241	10	4	neglect	neglect	VERB
fumecheng-8241	10	5	some	some	DET
fumecheng-8241	10	6	concerns	concern	NOUN
fumecheng-8241	10	7	or	or	CCONJ
fumecheng-8241	10	8	factors	factor	NOUN
fumecheng-8241	10	9	using	use	VERB
fumecheng-8241	10	10	approximations	approximation	NOUN
fumecheng-8241	10	11	in	in	ADP
fumecheng-8241	10	12	the	the	DET
fumecheng-8241	10	13	modeling	modeling	NOUN
fumecheng-8241	10	14	procedure	procedure	NOUN
fumecheng-8241	10	15	.	.	PUNCT
fumecheng-8241	11	1	several	several	ADJ
fumecheng-8241	11	2	studies	study	NOUN
fumecheng-8241	11	3	have	have	AUX
fumecheng-8241	11	4	been	be	AUX
fumecheng-8241	11	5	concerned	concern	VERB
fumecheng-8241	11	6	with	with	ADP
fumecheng-8241	11	7	getting	get	VERB
fumecheng-8241	11	8	simplified	simplified	ADJ
fumecheng-8241	11	9	solutions	solution	NOUN
fumecheng-8241	11	10	for	for	ADP
fumecheng-8241	11	11	a	a	DET
fumecheng-8241	11	12	free	free	ADJ
fumecheng-8241	11	13	and	and	CCONJ
fumecheng-8241	11	14	forced	force	VERB
fumecheng-8241	11	15	vibration	vibration	NOUN
fumecheng-8241	11	16	analysis	analysis	NOUN
fumecheng-8241	11	17	of	of	ADP
fumecheng-8241	11	18	rotating	rotate	VERB
fumecheng-8241	11	19	structures	structure	NOUN
fumecheng-8241	11	20	[	[	X
fumecheng-8241	11	21	1	1	NUM
fumecheng-8241	11	22	-	-	SYM
fumecheng-8241	11	23	3	3	NUM
fumecheng-8241	11	24	]	]	PUNCT
fumecheng-8241	11	25	.	.	PUNCT
fumecheng-8241	12	1	these	these	DET
fumecheng-8241	12	2	approaches	approach	NOUN
fumecheng-8241	12	3	reduce	reduce	VERB
fumecheng-8241	12	4	received	received	ADJ
fumecheng-8241	12	5	:	:	PUNCT
fumecheng-8241	12	6	march	march	PROPN
fumecheng-8241	12	7	20	20	NUM
fumecheng-8241	12	8	,	,	PUNCT
fumecheng-8241	12	9	2022	2022	NUM
fumecheng-8241	12	10	/	/	SYM
fumecheng-8241	12	11	accepted	accept	VERB
fumecheng-8241	12	12	september	september	PROPN
fumecheng-8241	12	13	14	14	NUM
fumecheng-8241	12	14	,	,	PUNCT
fumecheng-8241	12	15	2022	2022	NUM
fumecheng-8241	12	16	corresponding	correspond	VERB
fumecheng-8241	12	17	author	author	NOUN
fumecheng-8241	12	18	:	:	PUNCT
fumecheng-8241	12	19	miladazimi	miladazimi	PROPN
fumecheng-8241	12	20	aerospace	aerospace	PROPN
fumecheng-8241	12	21	research	research	PROPN
fumecheng-8241	12	22	institute	institute	PROPN
fumecheng-8241	12	23	(	(	PUNCT
fumecheng-8241	12	24	ministry	ministry	PROPN
fumecheng-8241	12	25	of	of	ADP
fumecheng-8241	12	26	science	science	PROPN
fumecheng-8241	12	27	,	,	PUNCT
fumecheng-8241	12	28	research	research	NOUN
fumecheng-8241	12	29	and	and	CCONJ
fumecheng-8241	12	30	technology	technology	NOUN
fumecheng-8241	12	31	)	)	PUNCT
fumecheng-8241	12	32	,	,	PUNCT
fumecheng-8241	12	33	shahrak	shahrak	NOUN
fumecheng-8241	12	34	-	-	PUNCT
fumecheng-8241	12	35	e	e	NOUN
fumecheng-8241	12	36	-	-	NOUN
fumecheng-8241	12	37	gharb	gharb	NOUN
fumecheng-8241	12	38	,	,	PUNCT
fumecheng-8241	12	39	iranzamin	iranzamin	PROPN
fumecheng-8241	12	40	ave	ave	PROPN
fumecheng-8241	12	41	.	.	PROPN
fumecheng-8241	12	42	,	,	PUNCT
fumecheng-8241	12	43	mahestan	mahestan	PROPN
fumecheng-8241	12	44	st	st	PROPN
fumecheng-8241	12	45	.	.	PROPN
fumecheng-8241	12	46	,	,	PUNCT
fumecheng-8241	12	47	tehran	tehran	PROPN
fumecheng-8241	12	48	,	,	PUNCT
fumecheng-8241	12	49	iran	iran	PROPN
fumecheng-8241	12	50	.	.	PUNCT
fumecheng-8241	13	1	e	e	X
fumecheng-8241	13	2	-	-	NOUN
fumecheng-8241	13	3	mail	mail	NOUN
fumecheng-8241	13	4	:	:	PUNCT
fumecheng-8241	13	5	azimi.m@ari.ac.ir	azimi.m@ari.ac.ir	PROPN
fumecheng-8241	13	6	2	2	NUM
fumecheng-8241	13	7	a.	a.	NOUN
fumecheng-8241	13	8	tavakoli	tavakoli	PROPN
fumecheng-8241	13	9	maleki	maleki	NOUN
fumecheng-8241	13	10	,	,	PUNCT
fumecheng-8241	13	11	m.	m.	NOUN
fumecheng-8241	13	12	azimi	azimi	PROPN
fumecheng-8241	13	13	,	,	PUNCT
fumecheng-8241	13	14	s.	s.	PROPN
fumecheng-8241	13	15	moradi	moradi	VERB
fumecheng-8241	13	16	computational	computational	ADJ
fumecheng-8241	13	17	actions	action	NOUN
fumecheng-8241	13	18	and	and	CCONJ
fumecheng-8241	13	19	degrees	degree	NOUN
fumecheng-8241	13	20	of	of	ADP
fumecheng-8241	13	21	freedom	freedom	NOUN
fumecheng-8241	13	22	,	,	PUNCT
fumecheng-8241	13	23	while	while	SCONJ
fumecheng-8241	13	24	the	the	DET
fumecheng-8241	13	25	accuracy	accuracy	NOUN
fumecheng-8241	13	26	incorporates	incorporate	VERB
fumecheng-8241	13	27	the	the	DET
fumecheng-8241	13	28	nonlinear	nonlinear	ADJ
fumecheng-8241	13	29	behavior	behavior	NOUN
fumecheng-8241	13	30	of	of	ADP
fumecheng-8241	13	31	systems	system	NOUN
fumecheng-8241	13	32	remains	remain	VERB
fumecheng-8241	13	33	.	.	PUNCT
fumecheng-8241	14	1	one	one	NUM
fumecheng-8241	14	2	of	of	ADP
fumecheng-8241	14	3	the	the	DET
fumecheng-8241	14	4	common	common	ADJ
fumecheng-8241	14	5	structural	structural	ADJ
fumecheng-8241	14	6	nonlinearity	nonlinearity	NOUN
fumecheng-8241	14	7	sources	source	NOUN
fumecheng-8241	14	8	is	be	AUX
fumecheng-8241	14	9	caused	cause	VERB
fumecheng-8241	14	10	by	by	ADP
fumecheng-8241	14	11	cracks	crack	NOUN
fumecheng-8241	14	12	[	[	X
fumecheng-8241	14	13	4	4	NUM
fumecheng-8241	14	14	,	,	PUNCT
fumecheng-8241	14	15	5	5	NUM
fumecheng-8241	14	16	]	]	PUNCT
fumecheng-8241	14	17	.	.	PUNCT
fumecheng-8241	15	1	the	the	DET
fumecheng-8241	15	2	structural	structural	ADJ
fumecheng-8241	15	3	members	member	NOUN
fumecheng-8241	15	4	,	,	PUNCT
fumecheng-8241	15	5	particularly	particularly	ADV
fumecheng-8241	15	6	rotating	rotate	VERB
fumecheng-8241	15	7	structures	structure	NOUN
fumecheng-8241	15	8	,	,	PUNCT
fumecheng-8241	15	9	may	may	AUX
fumecheng-8241	15	10	experience	experience	VERB
fumecheng-8241	15	11	internal	internal	ADJ
fumecheng-8241	15	12	/	/	SYM
fumecheng-8241	15	13	external	external	ADJ
fumecheng-8241	15	14	disturbances	disturbance	NOUN
fumecheng-8241	15	15	that	that	PRON
fumecheng-8241	15	16	may	may	AUX
fumecheng-8241	15	17	result	result	VERB
fumecheng-8241	15	18	in	in	ADP
fumecheng-8241	15	19	structural	structural	ADJ
fumecheng-8241	15	20	cracks	crack	NOUN
fumecheng-8241	15	21	.	.	PUNCT
fumecheng-8241	16	1	the	the	DET
fumecheng-8241	16	2	stiffness	stiffness	NOUN
fumecheng-8241	16	3	of	of	ADP
fumecheng-8241	16	4	the	the	DET
fumecheng-8241	16	5	cracked	crack	VERB
fumecheng-8241	16	6	structure	structure	NOUN
fumecheng-8241	16	7	is	be	AUX
fumecheng-8241	16	8	reduced	reduce	VERB
fumecheng-8241	16	9	locally	locally	ADV
fumecheng-8241	16	10	;	;	PUNCT
fumecheng-8241	16	11	as	as	ADP
fumecheng-8241	16	12	a	a	DET
fumecheng-8241	16	13	result	result	NOUN
fumecheng-8241	16	14	,	,	PUNCT
fumecheng-8241	16	15	the	the	DET
fumecheng-8241	16	16	stability	stability	NOUN
fumecheng-8241	16	17	and	and	CCONJ
fumecheng-8241	16	18	dynamic	dynamic	ADJ
fumecheng-8241	16	19	behaviors	behavior	NOUN
fumecheng-8241	16	20	of	of	ADP
fumecheng-8241	16	21	the	the	DET
fumecheng-8241	16	22	system	system	NOUN
fumecheng-8241	16	23	are	be	AUX
fumecheng-8241	16	24	affected	affect	VERB
fumecheng-8241	16	25	by	by	ADP
fumecheng-8241	16	26	crack	crack	NOUN
fumecheng-8241	16	27	characteristics	characteristic	NOUN
fumecheng-8241	16	28	and	and	CCONJ
fumecheng-8241	16	29	location	location	NOUN
fumecheng-8241	16	30	.	.	PUNCT
fumecheng-8241	17	1	therefore	therefore	ADV
fumecheng-8241	17	2	,	,	PUNCT
fumecheng-8241	17	3	exact	exact	ADJ
fumecheng-8241	17	4	modeling	modeling	NOUN
fumecheng-8241	17	5	of	of	ADP
fumecheng-8241	17	6	the	the	DET
fumecheng-8241	17	7	defected	defect	VERB
fumecheng-8241	17	8	structure	structure	NOUN
fumecheng-8241	17	9	is	be	AUX
fumecheng-8241	17	10	of	of	ADP
fumecheng-8241	17	11	great	great	ADJ
fumecheng-8241	17	12	significance	significance	NOUN
fumecheng-8241	17	13	in	in	ADP
fumecheng-8241	17	14	predicting	predict	VERB
fumecheng-8241	17	15	stability	stability	NOUN
fumecheng-8241	17	16	,	,	PUNCT
fumecheng-8241	17	17	vibration	vibration	NOUN
fumecheng-8241	17	18	behavior	behavior	NOUN
fumecheng-8241	17	19	,	,	PUNCT
fumecheng-8241	17	20	and	and	CCONJ
fumecheng-8241	17	21	structural	structural	ADJ
fumecheng-8241	17	22	health	health	NOUN
fumecheng-8241	17	23	monitoring	monitoring	NOUN
fumecheng-8241	17	24	[	[	X
fumecheng-8241	17	25	6	6	NUM
fumecheng-8241	17	26	-	-	SYM
fumecheng-8241	17	27	8	8	NUM
fumecheng-8241	17	28	]	]	PUNCT
fumecheng-8241	17	29	.	.	PUNCT
fumecheng-8241	18	1	numerous	numerous	ADJ
fumecheng-8241	18	2	research	research	NOUN
fumecheng-8241	18	3	studies	study	NOUN
fumecheng-8241	18	4	exist	exist	VERB
fumecheng-8241	18	5	on	on	ADP
fumecheng-8241	18	6	the	the	DET
fumecheng-8241	18	7	dynamic	dynamic	ADJ
fumecheng-8241	18	8	response	response	NOUN
fumecheng-8241	18	9	of	of	ADP
fumecheng-8241	18	10	structures	structure	NOUN
fumecheng-8241	18	11	,	,	PUNCT
fumecheng-8241	18	12	including	include	VERB
fumecheng-8241	18	13	cracks	crack	NOUN
fumecheng-8241	18	14	[	[	PUNCT
fumecheng-8241	18	15	9	9	NUM
fumecheng-8241	18	16	-	-	SYM
fumecheng-8241	18	17	11	11	NUM
fumecheng-8241	18	18	]	]	PUNCT
fumecheng-8241	18	19	.	.	PUNCT
fumecheng-8241	19	1	this	this	DET
fumecheng-8241	19	2	article	article	NOUN
fumecheng-8241	19	3	focuses	focus	VERB
fumecheng-8241	19	4	on	on	ADP
fumecheng-8241	19	5	cracked	cracked	ADJ
fumecheng-8241	19	6	and	and	CCONJ
fumecheng-8241	19	7	healthy	healthy	ADJ
fumecheng-8241	19	8	structures	structure	NOUN
fumecheng-8241	19	9	with	with	ADP
fumecheng-8241	19	10	rotating	rotate	VERB
fumecheng-8241	19	11	bases	basis	NOUN
fumecheng-8241	19	12	.	.	PUNCT
fumecheng-8241	20	1	the	the	DET
fumecheng-8241	20	2	rotating	rotate	VERB
fumecheng-8241	20	3	eb	eb	PROPN
fumecheng-8241	20	4	beam	beam	NOUN
fumecheng-8241	20	5	with	with	ADP
fumecheng-8241	20	6	a	a	DET
fumecheng-8241	20	7	crack	crack	NOUN
fumecheng-8241	20	8	at	at	ADP
fumecheng-8241	20	9	its	its	PRON
fumecheng-8241	20	10	edge	edge	NOUN
fumecheng-8241	20	11	considering	consider	VERB
fumecheng-8241	20	12	centrifugal	centrifugal	ADJ
fumecheng-8241	20	13	forces	force	NOUN
fumecheng-8241	20	14	as	as	ADP
fumecheng-8241	20	15	an	an	DET
fumecheng-8241	20	16	additional	additional	ADJ
fumecheng-8241	20	17	stiffness	stiffness	NOUN
fumecheng-8241	20	18	is	be	AUX
fumecheng-8241	20	19	analyzed	analyze	VERB
fumecheng-8241	20	20	and	and	CCONJ
fumecheng-8241	20	21	modeled	model	VERB
fumecheng-8241	20	22	by	by	ADP
fumecheng-8241	20	23	yashar	yashar	INTJ
fumecheng-8241	20	24	et	et	PROPN
fumecheng-8241	20	25	al	al	PROPN
fumecheng-8241	20	26	.	.	PUNCT
fumecheng-8241	21	1	[	[	X
fumecheng-8241	21	2	12	12	NUM
fumecheng-8241	21	3	]	]	PUNCT
fumecheng-8241	21	4	.	.	PUNCT
fumecheng-8241	22	1	they	they	PRON
fumecheng-8241	22	2	investigated	investigate	VERB
fumecheng-8241	22	3	the	the	DET
fumecheng-8241	22	4	natural	natural	ADJ
fumecheng-8241	22	5	frequencies	frequency	NOUN
fumecheng-8241	22	6	and	and	CCONJ
fumecheng-8241	22	7	the	the	DET
fumecheng-8241	22	8	vibration	vibration	NOUN
fumecheng-8241	22	9	modes	mode	NOUN
fumecheng-8241	22	10	along	along	ADP
fumecheng-8241	22	11	the	the	DET
fumecheng-8241	22	12	flap	flap	NOUN
fumecheng-8241	22	13	and	and	CCONJ
fumecheng-8241	22	14	chord	chord	NOUN
fumecheng-8241	22	15	of	of	ADP
fumecheng-8241	22	16	the	the	DET
fumecheng-8241	22	17	cracked	crack	VERB
fumecheng-8241	22	18	rotary	rotary	NOUN
fumecheng-8241	22	19	beam	beam	NOUN
fumecheng-8241	22	20	using	use	VERB
fumecheng-8241	22	21	rayleigh	rayleigh	PROPN
fumecheng-8241	22	22	-	-	PUNCT
fumecheng-8241	22	23	ritz	ritz	PROPN
fumecheng-8241	22	24	and	and	CCONJ
fumecheng-8241	22	25	fem	fem	PROPN
fumecheng-8241	22	26	.	.	PUNCT
fumecheng-8241	23	1	an	an	DET
fumecheng-8241	23	2	analytical	analytical	ADJ
fumecheng-8241	23	3	method	method	NOUN
fumecheng-8241	23	4	for	for	ADP
fumecheng-8241	23	5	the	the	DET
fumecheng-8241	23	6	free	free	ADJ
fumecheng-8241	23	7	vibration	vibration	NOUN
fumecheng-8241	23	8	analysis	analysis	NOUN
fumecheng-8241	23	9	of	of	ADP
fumecheng-8241	23	10	the	the	DET
fumecheng-8241	23	11	rotating	rotating	NOUN
fumecheng-8241	23	12	cracked	crack	VERB
fumecheng-8241	23	13	functionally	functionally	ADV
fumecheng-8241	23	14	graded	grade	VERB
fumecheng-8241	23	15	materials	material	NOUN
fumecheng-8241	23	16	(	(	PUNCT
fumecheng-8241	23	17	fgm	fgm	PROPN
fumecheng-8241	23	18	)	)	PUNCT
fumecheng-8241	23	19	structure	structure	NOUN
fumecheng-8241	23	20	is	be	AUX
fumecheng-8241	23	21	investigated	investigate	VERB
fumecheng-8241	23	22	by	by	ADP
fumecheng-8241	23	23	wei	wei	PROPN
fumecheng-8241	23	24	et	et	PROPN
fumecheng-8241	23	25	al	al	PROPN
fumecheng-8241	23	26	.	.	PUNCT
fumecheng-8241	24	1	[	[	X
fumecheng-8241	24	2	13	13	NUM
fumecheng-8241	24	3	]	]	PUNCT
fumecheng-8241	24	4	.	.	PUNCT
fumecheng-8241	25	1	the	the	DET
fumecheng-8241	25	2	advantage	advantage	NOUN
fumecheng-8241	25	3	of	of	ADP
fumecheng-8241	25	4	the	the	DET
fumecheng-8241	25	5	proposed	propose	VERB
fumecheng-8241	25	6	method	method	NOUN
fumecheng-8241	25	7	is	be	AUX
fumecheng-8241	25	8	that	that	SCONJ
fumecheng-8241	25	9	the	the	DET
fumecheng-8241	25	10	eigenvalues	eigenvalue	NOUN
fumecheng-8241	25	11	can	can	AUX
fumecheng-8241	25	12	be	be	AUX
fumecheng-8241	25	13	extracted	extract	VERB
fumecheng-8241	25	14	with	with	ADP
fumecheng-8241	25	15	the	the	DET
fumecheng-8241	25	16	desired	desire	VERB
fumecheng-8241	25	17	number	number	NOUN
fumecheng-8241	25	18	of	of	ADP
fumecheng-8241	25	19	cracks	crack	NOUN
fumecheng-8241	25	20	.	.	PUNCT
fumecheng-8241	26	1	the	the	DET
fumecheng-8241	26	2	classical	classical	ADJ
fumecheng-8241	26	3	rayleighritz	rayleighritz	NOUN
fumecheng-8241	26	4	method	method	NOUN
fumecheng-8241	26	5	is	be	AUX
fumecheng-8241	26	6	used	use	VERB
fumecheng-8241	26	7	to	to	PART
fumecheng-8241	26	8	investigate	investigate	VERB
fumecheng-8241	26	9	the	the	DET
fumecheng-8241	26	10	effects	effect	NOUN
fumecheng-8241	26	11	of	of	ADP
fumecheng-8241	26	12	angular	angular	ADJ
fumecheng-8241	26	13	velocity	velocity	NOUN
fumecheng-8241	26	14	,	,	PUNCT
fumecheng-8241	27	1	crack	crack	VERB
fumecheng-8241	27	2	depth	depth	NOUN
fumecheng-8241	27	3	,	,	PUNCT
fumecheng-8241	27	4	and	and	CCONJ
fumecheng-8241	27	5	location	location	NOUN
fumecheng-8241	27	6	,	,	PUNCT
fumecheng-8241	27	7	on	on	ADP
fumecheng-8241	27	8	nonlinear	nonlinear	ADJ
fumecheng-8241	27	9	bending	bend	VERB
fumecheng-8241	27	10	vibrations	vibration	NOUN
fumecheng-8241	27	11	of	of	ADP
fumecheng-8241	27	12	large	large	ADJ
fumecheng-8241	27	13	-	-	PUNCT
fumecheng-8241	27	14	amplitude	amplitude	NOUN
fumecheng-8241	27	15	rotating	rotate	VERB
fumecheng-8241	27	16	timoshenko	timoshenko	NOUN
fumecheng-8241	27	17	beam	beam	NOUN
fumecheng-8241	27	18	considering	consider	VERB
fumecheng-8241	27	19	the	the	DET
fumecheng-8241	27	20	rotational	rotational	ADJ
fumecheng-8241	27	21	axial	axial	ADJ
fumecheng-8241	27	22	stiffness	stiffness	NOUN
fumecheng-8241	27	23	[	[	X
fumecheng-8241	27	24	14	14	NUM
fumecheng-8241	27	25	]	]	PUNCT
fumecheng-8241	27	26	.	.	PUNCT
fumecheng-8241	28	1	the	the	DET
fumecheng-8241	28	2	crack	crack	NOUN
fumecheng-8241	28	3	is	be	AUX
fumecheng-8241	28	4	modeled	model	VERB
fumecheng-8241	28	5	as	as	ADP
fumecheng-8241	28	6	a	a	DET
fumecheng-8241	28	7	torsional	torsional	ADJ
fumecheng-8241	28	8	spring	spring	NOUN
fumecheng-8241	28	9	that	that	PRON
fumecheng-8241	28	10	divides	divide	VERB
fumecheng-8241	28	11	the	the	DET
fumecheng-8241	28	12	beam	beam	NOUN
fumecheng-8241	28	13	into	into	ADP
fumecheng-8241	28	14	two	two	NUM
fumecheng-8241	28	15	sections	section	NOUN
fumecheng-8241	28	16	.	.	PUNCT
fumecheng-8241	29	1	the	the	DET
fumecheng-8241	29	2	ritz	ritz	PROPN
fumecheng-8241	29	3	and	and	CCONJ
fumecheng-8241	29	4	the	the	DET
fumecheng-8241	29	5	differential	differential	ADJ
fumecheng-8241	29	6	quadrature	quadrature	NOUN
fumecheng-8241	29	7	approaches	approach	NOUN
fumecheng-8241	29	8	are	be	AUX
fumecheng-8241	29	9	applied	apply	VERB
fumecheng-8241	29	10	to	to	PART
fumecheng-8241	29	11	investigate	investigate	VERB
fumecheng-8241	29	12	the	the	DET
fumecheng-8241	29	13	effects	effect	NOUN
fumecheng-8241	29	14	of	of	ADP
fumecheng-8241	29	15	crack	crack	NOUN
fumecheng-8241	29	16	characteristics	characteristic	NOUN
fumecheng-8241	29	17	and	and	CCONJ
fumecheng-8241	29	18	material	material	NOUN
fumecheng-8241	29	19	properties	property	NOUN
fumecheng-8241	29	20	on	on	ADP
fumecheng-8241	29	21	the	the	DET
fumecheng-8241	29	22	linear	linear	ADJ
fumecheng-8241	29	23	and	and	CCONJ
fumecheng-8241	29	24	nonlinear	nonlinear	ADJ
fumecheng-8241	29	25	frequency	frequency	NOUN
fumecheng-8241	29	26	of	of	ADP
fumecheng-8241	29	27	the	the	DET
fumecheng-8241	29	28	fgm	fgm	PROPN
fumecheng-8241	29	29	based	base	VERB
fumecheng-8241	29	30	on	on	ADP
fumecheng-8241	29	31	the	the	DET
fumecheng-8241	29	32	timoshenko	timoshenko	ADJ
fumecheng-8241	29	33	beam	beam	NOUN
fumecheng-8241	29	34	with	with	ADP
fumecheng-8241	29	35	different	different	ADJ
fumecheng-8241	29	36	boundary	boundary	ADJ
fumecheng-8241	29	37	conditions	condition	NOUN
fumecheng-8241	29	38	by	by	ADP
fumecheng-8241	29	39	kitiporancha	kitiporancha	PROPN
fumecheng-8241	29	40	et	et	PROPN
fumecheng-8241	29	41	al	al	PROPN
fumecheng-8241	29	42	.	.	PUNCT
fumecheng-8241	30	1	[	[	X
fumecheng-8241	30	2	15	15	NUM
fumecheng-8241	30	3	]	]	PUNCT
fumecheng-8241	30	4	.	.	PUNCT
fumecheng-8241	31	1	afshari	afshari	PROPN
fumecheng-8241	31	2	et	et	PROPN
fumecheng-8241	31	3	al	al	PROPN
fumecheng-8241	31	4	.	.	PROPN
fumecheng-8241	31	5	investigated	investigate	VERB
fumecheng-8241	31	6	the	the	DET
fumecheng-8241	31	7	vibration	vibration	NOUN
fumecheng-8241	31	8	modeling	modeling	NOUN
fumecheng-8241	31	9	of	of	ADP
fumecheng-8241	31	10	the	the	DET
fumecheng-8241	31	11	eb	eb	PROPN
fumecheng-8241	31	12	beam	beam	PROPN
fumecheng-8241	31	13	with	with	ADP
fumecheng-8241	31	14	continuous	continuous	ADJ
fumecheng-8241	31	15	crack	crack	NOUN
fumecheng-8241	31	16	(	(	PUNCT
fumecheng-8241	31	17	not	not	PART
fumecheng-8241	31	18	as	as	ADP
fumecheng-8241	31	19	a	a	DET
fumecheng-8241	31	20	discontinuous	discontinuous	ADJ
fumecheng-8241	31	21	torsional	torsional	ADJ
fumecheng-8241	31	22	spring	spring	NOUN
fumecheng-8241	31	23	)	)	PUNCT
fumecheng-8241	31	24	in	in	ADP
fumecheng-8241	31	25	the	the	DET
fumecheng-8241	31	26	presence	presence	NOUN
fumecheng-8241	31	27	of	of	ADP
fumecheng-8241	31	28	piezoelectric	piezoelectric	NOUN
fumecheng-8241	31	29	(	(	PUNCT
fumecheng-8241	31	30	pzt	pzt	NOUN
fumecheng-8241	31	31	)	)	PUNCT
fumecheng-8241	31	32	patches	patch	NOUN
fumecheng-8241	31	33	.	.	PUNCT
fumecheng-8241	32	1	they	they	PRON
fumecheng-8241	32	2	analyzed	analyze	VERB
fumecheng-8241	32	3	the	the	DET
fumecheng-8241	32	4	crack	crack	NOUN
fumecheng-8241	32	5	growth	growth	NOUN
fumecheng-8241	32	6	by	by	ADP
fumecheng-8241	32	7	applying	apply	VERB
fumecheng-8241	32	8	the	the	DET
fumecheng-8241	32	9	pzt	pzt	NOUN
fumecheng-8241	32	10	function	function	NOUN
fumecheng-8241	32	11	to	to	ADP
fumecheng-8241	32	12	the	the	DET
fumecheng-8241	32	13	structure	structure	NOUN
fumecheng-8241	32	14	[	[	X
fumecheng-8241	32	15	16	16	NUM
fumecheng-8241	32	16	]	]	PUNCT
fumecheng-8241	32	17	.	.	PUNCT
fumecheng-8241	33	1	a	a	DET
fumecheng-8241	33	2	quadratic	quadratic	ADJ
fumecheng-8241	33	3	b	b	NOUN
fumecheng-8241	33	4	-	-	PUNCT
fumecheng-8241	33	5	spline	spline	NOUN
fumecheng-8241	33	6	fem	fem	NOUN
fumecheng-8241	33	7	and	and	CCONJ
fumecheng-8241	33	8	galerkin	galerkin	ADJ
fumecheng-8241	33	9	methods	method	NOUN
fumecheng-8241	33	10	are	be	AUX
fumecheng-8241	33	11	used	use	VERB
fumecheng-8241	33	12	to	to	PART
fumecheng-8241	33	13	study	study	VERB
fumecheng-8241	33	14	the	the	DET
fumecheng-8241	33	15	free	free	ADJ
fumecheng-8241	33	16	vibrations	vibration	NOUN
fumecheng-8241	33	17	of	of	ADP
fumecheng-8241	33	18	the	the	DET
fumecheng-8241	33	19	rotating	rotate	VERB
fumecheng-8241	33	20	eb	eb	PROPN
fumecheng-8241	33	21	beam	beam	PROPN
fumecheng-8241	34	1	[	[	X
fumecheng-8241	34	2	17	17	NUM
fumecheng-8241	34	3	]	]	PUNCT
fumecheng-8241	34	4	.	.	PUNCT
fumecheng-8241	35	1	latalski	latalski	PROPN
fumecheng-8241	35	2	et	et	PROPN
fumecheng-8241	36	1	al	al	PROPN
fumecheng-8241	36	2	.	.	PROPN
fumecheng-8241	36	3	studied	study	VERB
fumecheng-8241	36	4	bending	bend	VERB
fumecheng-8241	36	5	-	-	PUNCT
fumecheng-8241	36	6	twisting	twist	VERB
fumecheng-8241	36	7	vibrations	vibration	NOUN
fumecheng-8241	36	8	of	of	ADP
fumecheng-8241	36	9	the	the	DET
fumecheng-8241	36	10	rotating	rotate	VERB
fumecheng-8241	36	11	thin	thin	ADJ
fumecheng-8241	36	12	-	-	PUNCT
fumecheng-8241	36	13	walled	walled	ADJ
fumecheng-8241	36	14	composite	composite	ADJ
fumecheng-8241	36	15	structure	structure	NOUN
fumecheng-8241	36	16	attached	attach	VERB
fumecheng-8241	36	17	to	to	ADP
fumecheng-8241	36	18	a	a	DET
fumecheng-8241	36	19	hub	hub	NOUN
fumecheng-8241	36	20	[	[	X
fumecheng-8241	36	21	18	18	NUM
fumecheng-8241	36	22	]	]	PUNCT
fumecheng-8241	36	23	.	.	PUNCT
fumecheng-8241	37	1	in	in	ADP
fumecheng-8241	37	2	this	this	DET
fumecheng-8241	37	3	study	study	NOUN
fumecheng-8241	37	4	,	,	PUNCT
fumecheng-8241	37	5	the	the	DET
fumecheng-8241	37	6	system	system	NOUN
fumecheng-8241	37	7	’s	’s	PART
fumecheng-8241	37	8	partial	partial	ADJ
fumecheng-8241	37	9	differential	differential	ADJ
fumecheng-8241	37	10	equations	equation	NOUN
fumecheng-8241	37	11	and	and	CCONJ
fumecheng-8241	37	12	mathematical	mathematical	ADJ
fumecheng-8241	37	13	model	model	NOUN
fumecheng-8241	37	14	are	be	AUX
fumecheng-8241	37	15	derived	derive	VERB
fumecheng-8241	37	16	considering	consider	VERB
fumecheng-8241	37	17	rotational	rotational	ADJ
fumecheng-8241	37	18	inertia	inertia	NOUN
fumecheng-8241	37	19	,	,	PUNCT
fumecheng-8241	37	20	material	material	NOUN
fumecheng-8241	37	21	anisotropy	anisotropy	NOUN
fumecheng-8241	37	22	,	,	PUNCT
fumecheng-8241	37	23	and	and	CCONJ
fumecheng-8241	37	24	transverse	transverse	ADJ
fumecheng-8241	37	25	shear	shear	NOUN
fumecheng-8241	37	26	and	and	CCONJ
fumecheng-8241	37	27	reduced	reduce	VERB
fumecheng-8241	37	28	to	to	ADP
fumecheng-8241	37	29	ordinary	ordinary	ADJ
fumecheng-8241	37	30	differential	differential	ADJ
fumecheng-8241	37	31	equations	equation	NOUN
fumecheng-8241	37	32	by	by	ADP
fumecheng-8241	37	33	the	the	DET
fumecheng-8241	37	34	galerkin	galerkin	PROPN
fumecheng-8241	37	35	approach	approach	NOUN
fumecheng-8241	37	36	.	.	PUNCT
fumecheng-8241	38	1	zeng	zeng	PROPN
fumecheng-8241	38	2	et	et	PROPN
fumecheng-8241	38	3	al	al	PROPN
fumecheng-8241	38	4	.	.	PROPN
fumecheng-8241	38	5	analyzed	analyze	VERB
fumecheng-8241	38	6	axial	axial	ADJ
fumecheng-8241	38	7	-	-	PUNCT
fumecheng-8241	38	8	torsional	torsional	ADJ
fumecheng-8241	38	9	,	,	PUNCT
fumecheng-8241	38	10	flap	flap	NOUN
fumecheng-8241	38	11	-	-	PUNCT
fumecheng-8241	38	12	wise	wise	ADJ
fumecheng-8241	38	13	-	-	PUNCT
fumecheng-8241	38	14	chord	chord	NOUN
fumecheng-8241	38	15	-	-	PUNCT
fumecheng-8241	38	16	wise	wise	ADJ
fumecheng-8241	38	17	coupled	couple	VERB
fumecheng-8241	38	18	vibrations	vibration	NOUN
fumecheng-8241	38	19	of	of	ADP
fumecheng-8241	38	20	a	a	DET
fumecheng-8241	38	21	rotating	rotate	VERB
fumecheng-8241	38	22	pre	pre	ADJ
fumecheng-8241	38	23	-	-	ADJ
fumecheng-8241	38	24	twisted	twisted	ADJ
fumecheng-8241	38	25	beam	beam	NOUN
fumecheng-8241	38	26	using	use	VERB
fumecheng-8241	38	27	fem	fem	NOUN
fumecheng-8241	38	28	and	and	CCONJ
fumecheng-8241	38	29	hamiltonian	hamiltonian	ADJ
fumecheng-8241	38	30	approaches	approach	NOUN
fumecheng-8241	38	31	[	[	X
fumecheng-8241	38	32	19	19	NUM
fumecheng-8241	38	33	]	]	PUNCT
fumecheng-8241	38	34	.	.	PUNCT
fumecheng-8241	39	1	gawryluk	gawryluk	PROPN
fumecheng-8241	39	2	et	et	PROPN
fumecheng-8241	39	3	al	al	PROPN
fumecheng-8241	39	4	.	.	PROPN
fumecheng-8241	39	5	investigated	investigate	VERB
fumecheng-8241	39	6	the	the	DET
fumecheng-8241	39	7	dynamical	dynamical	ADJ
fumecheng-8241	39	8	response	response	NOUN
fumecheng-8241	39	9	of	of	ADP
fumecheng-8241	39	10	a	a	DET
fumecheng-8241	39	11	rotating	rotate	VERB
fumecheng-8241	39	12	composite	composite	ADJ
fumecheng-8241	39	13	beam	beam	NOUN
fumecheng-8241	39	14	with	with	ADP
fumecheng-8241	39	15	a	a	DET
fumecheng-8241	39	16	constant	constant	ADJ
fumecheng-8241	39	17	velocity	velocity	NOUN
fumecheng-8241	39	18	caused	cause	VERB
fumecheng-8241	39	19	by	by	ADP
fumecheng-8241	39	20	harmonic	harmonic	ADJ
fumecheng-8241	39	21	excitation	excitation	NOUN
fumecheng-8241	39	22	from	from	ADP
fumecheng-8241	39	23	a	a	DET
fumecheng-8241	39	24	macro	macro	ADJ
fumecheng-8241	39	25	fiber	fiber	NOUN
fumecheng-8241	39	26	composite	composite	NOUN
fumecheng-8241	39	27	(	(	PUNCT
fumecheng-8241	39	28	mfc	mfc	NOUN
fumecheng-8241	39	29	)	)	PUNCT
fumecheng-8241	39	30	motor	motor	NOUN
fumecheng-8241	39	31	by	by	ADP
fumecheng-8241	39	32	fem	fem	NOUN
fumecheng-8241	40	1	[	[	X
fumecheng-8241	40	2	20	20	NUM
fumecheng-8241	40	3	]	]	PUNCT
fumecheng-8241	40	4	.	.	PUNCT
fumecheng-8241	41	1	in	in	ADP
fumecheng-8241	41	2	this	this	DET
fumecheng-8241	41	3	approach	approach	NOUN
fumecheng-8241	41	4	,	,	PUNCT
fumecheng-8241	41	5	the	the	DET
fumecheng-8241	41	6	pzt	pzt	NOUN
fumecheng-8241	41	7	materials	material	NOUN
fumecheng-8241	41	8	have	have	AUX
fumecheng-8241	41	9	been	be	AUX
fumecheng-8241	41	10	used	use	VERB
fumecheng-8241	41	11	as	as	ADP
fumecheng-8241	41	12	an	an	DET
fumecheng-8241	41	13	additional	additional	ADJ
fumecheng-8241	41	14	excitation	excitation	NOUN
fumecheng-8241	41	15	source	source	NOUN
fumecheng-8241	41	16	.	.	PUNCT
fumecheng-8241	42	1	dibble	dibble	PROPN
fumecheng-8241	42	2	et	et	PROPN
fumecheng-8241	42	3	al	al	PROPN
fumecheng-8241	42	4	.	.	PROPN
fumecheng-8241	42	5	analyzed	analyze	VERB
fumecheng-8241	42	6	the	the	DET
fumecheng-8241	42	7	aero	aero	ADJ
fumecheng-8241	42	8	-	-	ADJ
fumecheng-8241	42	9	elastic	elastic	ADJ
fumecheng-8241	42	10	eigenvalues	eigenvalue	NOUN
fumecheng-8241	42	11	of	of	ADP
fumecheng-8241	42	12	a	a	DET
fumecheng-8241	42	13	rotating	rotate	VERB
fumecheng-8241	42	14	blade	blade	NOUN
fumecheng-8241	42	15	under	under	ADP
fumecheng-8241	42	16	a	a	DET
fumecheng-8241	42	17	variable	variable	ADJ
fumecheng-8241	42	18	angular	angular	ADJ
fumecheng-8241	42	19	velocity	velocity	NOUN
fumecheng-8241	42	20	and	and	CCONJ
fumecheng-8241	42	21	compressive	compressive	ADJ
fumecheng-8241	42	22	loading	loading	NOUN
fumecheng-8241	42	23	using	use	VERB
fumecheng-8241	42	24	the	the	DET
fumecheng-8241	42	25	boundary	boundary	ADJ
fumecheng-8241	42	26	value	value	NOUN
fumecheng-8241	42	27	problem	problem	NOUN
fumecheng-8241	42	28	[	[	X
fumecheng-8241	42	29	21	21	NUM
fumecheng-8241	42	30	]	]	PUNCT
fumecheng-8241	42	31	.	.	PUNCT
fumecheng-8241	43	1	they	they	PRON
fumecheng-8241	43	2	investigated	investigate	VERB
fumecheng-8241	43	3	the	the	DET
fumecheng-8241	43	4	effect	effect	NOUN
fumecheng-8241	43	5	of	of	ADP
fumecheng-8241	43	6	compressive	compressive	ADJ
fumecheng-8241	43	7	and	and	CCONJ
fumecheng-8241	43	8	aerodynamic	aerodynamic	ADJ
fumecheng-8241	43	9	loading	loading	NOUN
fumecheng-8241	43	10	on	on	ADP
fumecheng-8241	43	11	the	the	DET
fumecheng-8241	43	12	reduction	reduction	NOUN
fumecheng-8241	43	13	of	of	ADP
fumecheng-8241	43	14	the	the	DET
fumecheng-8241	43	15	rotary	rotary	ADJ
fumecheng-8241	43	16	blade	blade	NOUN
fumecheng-8241	43	17	velocity	velocity	NOUN
fumecheng-8241	43	18	.	.	PUNCT
fumecheng-8241	44	1	the	the	DET
fumecheng-8241	44	2	rayleigh	rayleigh	PROPN
fumecheng-8241	44	3	-	-	PUNCT
fumecheng-8241	44	4	ritz	ritz	PROPN
fumecheng-8241	44	5	approach	approach	NOUN
fumecheng-8241	44	6	is	be	AUX
fumecheng-8241	44	7	utilized	utilize	VERB
fumecheng-8241	44	8	to	to	PART
fumecheng-8241	44	9	study	study	VERB
fumecheng-8241	44	10	the	the	DET
fumecheng-8241	44	11	effects	effect	NOUN
fumecheng-8241	44	12	of	of	ADP
fumecheng-8241	44	13	angular	angular	ADJ
fumecheng-8241	44	14	velocity	velocity	NOUN
fumecheng-8241	44	15	,	,	PUNCT
fumecheng-8241	44	16	hub	hub	NOUN
fumecheng-8241	44	17	radius	radius	NOUN
fumecheng-8241	44	18	,	,	PUNCT
fumecheng-8241	44	19	and	and	CCONJ
fumecheng-8241	44	20	other	other	ADJ
fumecheng-8241	44	21	characteristics	characteristic	NOUN
fumecheng-8241	44	22	of	of	ADP
fumecheng-8241	44	23	a	a	DET
fumecheng-8241	44	24	pre	pre	ADJ
fumecheng-8241	44	25	-	-	ADJ
fumecheng-8241	44	26	twisted	twisted	ADJ
fumecheng-8241	44	27	rotating	rotate	VERB
fumecheng-8241	44	28	composite	composite	ADJ
fumecheng-8241	44	29	blade	blade	NOUN
fumecheng-8241	44	30	on	on	ADP
fumecheng-8241	44	31	vibrational	vibrational	ADJ
fumecheng-8241	44	32	behavior	behavior	NOUN
fumecheng-8241	44	33	(	(	PUNCT
fumecheng-8241	44	34	natural	natural	ADJ
fumecheng-8241	44	35	frequencies	frequency	NOUN
fumecheng-8241	44	36	and	and	CCONJ
fumecheng-8241	44	37	mode	mode	NOUN
fumecheng-8241	44	38	shapes	shape	NOUN
fumecheng-8241	44	39	)	)	PUNCT
fumecheng-8241	44	40	,	,	PUNCT
fumecheng-8241	44	41	considering	consider	VERB
fumecheng-8241	44	42	the	the	DET
fumecheng-8241	44	43	effects	effect	NOUN
fumecheng-8241	44	44	of	of	ADP
fumecheng-8241	44	45	coriolis	corioli	NOUN
fumecheng-8241	44	46	and	and	CCONJ
fumecheng-8241	44	47	centrifugal	centrifugal	ADJ
fumecheng-8241	44	48	forces	force	NOUN
fumecheng-8241	44	49	[	[	X
fumecheng-8241	44	50	22	22	NUM
fumecheng-8241	44	51	]	]	PUNCT
fumecheng-8241	44	52	.	.	PUNCT
fumecheng-8241	45	1	a	a	DET
fumecheng-8241	45	2	dynamic	dynamic	ADJ
fumecheng-8241	45	3	analysis	analysis	NOUN
fumecheng-8241	45	4	of	of	ADP
fumecheng-8241	45	5	rotating	rotate	VERB
fumecheng-8241	45	6	(	(	PUNCT
fumecheng-8241	45	7	eb	eb	NOUN
fumecheng-8241	45	8	)	)	PUNCT
fumecheng-8241	45	9	beam	beam	NOUN
fumecheng-8241	45	10	analytic	analytic	ADJ
fumecheng-8241	45	11	approximate	approximate	ADJ
fumecheng-8241	45	12	solution	solution	NOUN
fumecheng-8241	45	13	for	for	ADP
fumecheng-8241	45	14	nonlinear	nonlinear	ADJ
fumecheng-8241	45	15	dynamic	dynamic	ADJ
fumecheng-8241	45	16	analysis	analysis	NOUN
fumecheng-8241	45	17	of	of	ADP
fumecheng-8241	45	18	rotating	rotate	VERB
fumecheng-8241	45	19	elastic	elastic	ADJ
fumecheng-8241	45	20	beam	beam	NOUN
fumecheng-8241	45	21	3	3	NUM
fumecheng-8241	45	22	using	use	VERB
fumecheng-8241	45	23	power	power	NOUN
fumecheng-8241	45	24	series	series	NOUN
fumecheng-8241	45	25	solution	solution	NOUN
fumecheng-8241	45	26	and	and	CCONJ
fumecheng-8241	45	27	numerical	numerical	ADJ
fumecheng-8241	45	28	simulations	simulation	NOUN
fumecheng-8241	45	29	is	be	AUX
fumecheng-8241	45	30	done	do	VERB
fumecheng-8241	45	31	considering	consider	VERB
fumecheng-8241	45	32	tapering	taper	VERB
fumecheng-8241	45	33	effects	effect	NOUN
fumecheng-8241	45	34	[	[	X
fumecheng-8241	45	35	23	23	NUM
fumecheng-8241	45	36	]	]	PUNCT
fumecheng-8241	45	37	.	.	PUNCT
fumecheng-8241	46	1	different	different	ADJ
fumecheng-8241	46	2	researchers	researcher	NOUN
fumecheng-8241	46	3	also	also	ADV
fumecheng-8241	46	4	investigated	investigate	VERB
fumecheng-8241	46	5	the	the	DET
fumecheng-8241	46	6	dynamic	dynamic	ADJ
fumecheng-8241	46	7	analysis	analysis	NOUN
fumecheng-8241	46	8	of	of	ADP
fumecheng-8241	46	9	rotor	rotor	NOUN
fumecheng-8241	46	10	blades	blade	NOUN
fumecheng-8241	46	11	as	as	SCONJ
fumecheng-8241	46	12	coupled	couple	VERB
fumecheng-8241	46	13	rigid	rigid	ADJ
fumecheng-8241	46	14	-	-	PUNCT
fumecheng-8241	46	15	flexible	flexible	ADJ
fumecheng-8241	46	16	systems	system	NOUN
fumecheng-8241	46	17	[	[	X
fumecheng-8241	46	18	24	24	NUM
fumecheng-8241	46	19	,	,	PUNCT
fumecheng-8241	46	20	25	25	NUM
fumecheng-8241	46	21	]	]	PUNCT
fumecheng-8241	46	22	.	.	PUNCT
fumecheng-8241	47	1	several	several	ADJ
fumecheng-8241	47	2	analytical	analytical	ADJ
fumecheng-8241	47	3	solutions	solution	NOUN
fumecheng-8241	47	4	have	have	AUX
fumecheng-8241	47	5	been	be	AUX
fumecheng-8241	47	6	presented	present	VERB
fumecheng-8241	47	7	for	for	ADP
fumecheng-8241	47	8	nonlinear	nonlinear	ADJ
fumecheng-8241	47	9	vibration	vibration	NOUN
fumecheng-8241	47	10	analysis	analysis	NOUN
fumecheng-8241	47	11	of	of	ADP
fumecheng-8241	47	12	non	non	ADJ
fumecheng-8241	47	13	-	-	ADJ
fumecheng-8241	47	14	rotating	rotating	ADJ
fumecheng-8241	47	15	structures	structure	NOUN
fumecheng-8241	47	16	.	.	PUNCT
fumecheng-8241	48	1	using	use	VERB
fumecheng-8241	48	2	a	a	DET
fumecheng-8241	48	3	nonlocal	nonlocal	ADJ
fumecheng-8241	48	4	strain	strain	NOUN
fumecheng-8241	48	5	gradient	gradient	NOUN
fumecheng-8241	48	6	theory	theory	NOUN
fumecheng-8241	48	7	,	,	PUNCT
fumecheng-8241	48	8	nonlinear	nonlinear	ADJ
fumecheng-8241	48	9	vibration	vibration	NOUN
fumecheng-8241	48	10	,	,	PUNCT
fumecheng-8241	48	11	bending	bending	NOUN
fumecheng-8241	48	12	,	,	PUNCT
fumecheng-8241	48	13	and	and	CCONJ
fumecheng-8241	48	14	buckling	buckling	NOUN
fumecheng-8241	48	15	of	of	ADP
fumecheng-8241	48	16	functionally	functionally	ADV
fumecheng-8241	48	17	graded	grade	VERB
fumecheng-8241	48	18	nano	nano	NOUN
fumecheng-8241	48	19	beams	beam	NOUN
fumecheng-8241	48	20	on	on	ADP
fumecheng-8241	48	21	an	an	DET
fumecheng-8241	48	22	elastic	elastic	ADJ
fumecheng-8241	48	23	foundation	foundation	NOUN
fumecheng-8241	48	24	are	be	AUX
fumecheng-8241	48	25	investigated	investigate	VERB
fumecheng-8241	48	26	[	[	X
fumecheng-8241	48	27	26	26	NUM
fumecheng-8241	48	28	]	]	PUNCT
fumecheng-8241	48	29	.	.	PUNCT
fumecheng-8241	49	1	sedighi	sedighi	PROPN
fumecheng-8241	49	2	et	et	PROPN
fumecheng-8241	49	3	al	al	PROPN
fumecheng-8241	49	4	.	.	PUNCT
fumecheng-8241	50	1	propose	propose	VERB
fumecheng-8241	50	2	a	a	DET
fumecheng-8241	50	3	parameter	parameter	NOUN
fumecheng-8241	50	4	expansion	expansion	NOUN
fumecheng-8241	50	5	method	method	NOUN
fumecheng-8241	50	6	(	(	PUNCT
fumecheng-8241	50	7	pem	pem	NOUN
fumecheng-8241	50	8	)	)	PUNCT
fumecheng-8241	50	9	for	for	ADP
fumecheng-8241	50	10	an	an	DET
fumecheng-8241	50	11	exact	exact	ADJ
fumecheng-8241	50	12	nonlinear	nonlinear	ADJ
fumecheng-8241	50	13	vibration	vibration	NOUN
fumecheng-8241	50	14	analysis	analysis	NOUN
fumecheng-8241	50	15	of	of	ADP
fumecheng-8241	50	16	a	a	DET
fumecheng-8241	50	17	buckled	buckled	ADJ
fumecheng-8241	50	18	beam	beam	NOUN
fumecheng-8241	50	19	considering	consider	VERB
fumecheng-8241	50	20	dead	dead	ADJ
fumecheng-8241	50	21	zone	zone	NOUN
fumecheng-8241	50	22	boundary	boundary	ADJ
fumecheng-8241	50	23	conditions	condition	NOUN
fumecheng-8241	50	24	[	[	X
fumecheng-8241	50	25	27	27	NUM
fumecheng-8241	50	26	]	]	PUNCT
fumecheng-8241	50	27	.	.	PUNCT
fumecheng-8241	51	1	as	as	SCONJ
fumecheng-8241	51	2	can	can	AUX
fumecheng-8241	51	3	be	be	AUX
fumecheng-8241	51	4	seen	see	VERB
fumecheng-8241	51	5	from	from	ADP
fumecheng-8241	51	6	the	the	DET
fumecheng-8241	51	7	literature	literature	NOUN
fumecheng-8241	51	8	,	,	PUNCT
fumecheng-8241	51	9	much	much	ADV
fumecheng-8241	51	10	less	less	ADJ
fumecheng-8241	51	11	research	research	NOUN
fumecheng-8241	51	12	on	on	ADP
fumecheng-8241	51	13	analytical	analytical	ADJ
fumecheng-8241	51	14	approaches	approach	NOUN
fumecheng-8241	51	15	for	for	ADP
fumecheng-8241	51	16	vibration	vibration	NOUN
fumecheng-8241	51	17	analysis	analysis	NOUN
fumecheng-8241	51	18	of	of	ADP
fumecheng-8241	51	19	cracked	crack	VERB
fumecheng-8241	51	20	rotating	rotate	VERB
fumecheng-8241	51	21	structures	structure	NOUN
fumecheng-8241	51	22	has	have	AUX
fumecheng-8241	51	23	been	be	AUX
fumecheng-8241	51	24	reported	report	VERB
fumecheng-8241	51	25	compared	compare	VERB
fumecheng-8241	51	26	to	to	ADP
fumecheng-8241	51	27	the	the	DET
fumecheng-8241	51	28	numerous	numerous	ADJ
fumecheng-8241	51	29	numerical	numerical	ADJ
fumecheng-8241	51	30	investigations	investigation	NOUN
fumecheng-8241	51	31	of	of	ADP
fumecheng-8241	51	32	such	such	ADJ
fumecheng-8241	51	33	systems	system	NOUN
fumecheng-8241	51	34	.	.	PUNCT
fumecheng-8241	52	1	on	on	ADP
fumecheng-8241	52	2	the	the	DET
fumecheng-8241	52	3	other	other	ADJ
fumecheng-8241	52	4	hand	hand	NOUN
fumecheng-8241	52	5	,	,	PUNCT
fumecheng-8241	52	6	it	it	PRON
fumecheng-8241	52	7	is	be	AUX
fumecheng-8241	52	8	required	require	VERB
fumecheng-8241	52	9	to	to	PART
fumecheng-8241	52	10	precisely	precisely	ADV
fumecheng-8241	52	11	study	study	VERB
fumecheng-8241	52	12	the	the	DET
fumecheng-8241	52	13	effects	effect	NOUN
fumecheng-8241	52	14	of	of	ADP
fumecheng-8241	52	15	significant	significant	ADJ
fumecheng-8241	52	16	parameters	parameter	NOUN
fumecheng-8241	52	17	on	on	ADP
fumecheng-8241	52	18	the	the	DET
fumecheng-8241	52	19	dynamic	dynamic	ADJ
fumecheng-8241	52	20	behavior	behavior	NOUN
fumecheng-8241	52	21	of	of	ADP
fumecheng-8241	52	22	nonlinear	nonlinear	ADJ
fumecheng-8241	52	23	systems	system	NOUN
fumecheng-8241	52	24	.	.	PUNCT
fumecheng-8241	53	1	the	the	DET
fumecheng-8241	53	2	problem	problem	NOUN
fumecheng-8241	53	3	can	can	AUX
fumecheng-8241	53	4	be	be	AUX
fumecheng-8241	53	5	easily	easily	ADV
fumecheng-8241	53	6	handled	handle	VERB
fumecheng-8241	53	7	by	by	ADP
fumecheng-8241	53	8	driving	drive	VERB
fumecheng-8241	53	9	analytical	analytical	ADJ
fumecheng-8241	53	10	models	model	NOUN
fumecheng-8241	53	11	and	and	CCONJ
fumecheng-8241	53	12	solving	solve	VERB
fumecheng-8241	53	13	approaches	approach	NOUN
fumecheng-8241	53	14	,	,	PUNCT
fumecheng-8241	53	15	especially	especially	ADV
fumecheng-8241	53	16	for	for	ADP
fumecheng-8241	53	17	complex	complex	ADJ
fumecheng-8241	53	18	multi	multi	ADJ
fumecheng-8241	53	19	-	-	ADJ
fumecheng-8241	53	20	body	body	ADJ
fumecheng-8241	53	21	dynamics	dynamic	NOUN
fumecheng-8241	53	22	.	.	PUNCT
fumecheng-8241	54	1	therefore	therefore	ADV
fumecheng-8241	54	2	,	,	PUNCT
fumecheng-8241	54	3	new	new	ADJ
fumecheng-8241	54	4	methods	method	NOUN
fumecheng-8241	54	5	have	have	AUX
fumecheng-8241	54	6	been	be	AUX
fumecheng-8241	54	7	proposed	propose	VERB
fumecheng-8241	54	8	to	to	PART
fumecheng-8241	54	9	deal	deal	VERB
fumecheng-8241	54	10	with	with	ADP
fumecheng-8241	54	11	nonlinear	nonlinear	ADJ
fumecheng-8241	54	12	problems	problem	NOUN
fumecheng-8241	54	13	such	such	ADJ
fumecheng-8241	54	14	as	as	ADP
fumecheng-8241	54	15	hamiltonian	hamiltonian	ADJ
fumecheng-8241	55	1	[	[	X
fumecheng-8241	55	2	28	28	NUM
fumecheng-8241	55	3	]	]	PUNCT
fumecheng-8241	55	4	,	,	PUNCT
fumecheng-8241	55	5	energy	energy	NOUN
fumecheng-8241	55	6	balanced	balance	VERB
fumecheng-8241	55	7	[	[	PUNCT
fumecheng-8241	55	8	29	29	NUM
fumecheng-8241	55	9	]	]	PUNCT
fumecheng-8241	55	10	,	,	PUNCT
fumecheng-8241	55	11	multiple	multiple	ADJ
fumecheng-8241	55	12	scales	scale	NOUN
fumecheng-8241	55	13	[	[	X
fumecheng-8241	55	14	30	30	NUM
fumecheng-8241	55	15	]	]	PUNCT
fumecheng-8241	55	16	,	,	PUNCT
fumecheng-8241	55	17	differential	differential	ADJ
fumecheng-8241	55	18	transform	transform	NOUN
fumecheng-8241	55	19	method	method	NOUN
fumecheng-8241	55	20	[	[	X
fumecheng-8241	55	21	31	31	NUM
fumecheng-8241	55	22	]	]	PUNCT
fumecheng-8241	55	23	,	,	PUNCT
fumecheng-8241	55	24	variation	variation	NOUN
fumecheng-8241	55	25	[	[	X
fumecheng-8241	55	26	32	32	NUM
fumecheng-8241	55	27	]	]	PUNCT
fumecheng-8241	55	28	,	,	PUNCT
fumecheng-8241	55	29	and	and	CCONJ
fumecheng-8241	55	30	homotopy	homotopy	VERB
fumecheng-8241	55	31	perturbation	perturbation	NOUN
fumecheng-8241	55	32	approaches	approach	NOUN
fumecheng-8241	55	33	[	[	X
fumecheng-8241	55	34	33	33	NUM
fumecheng-8241	55	35	,	,	PUNCT
fumecheng-8241	55	36	34	34	NUM
fumecheng-8241	55	37	]	]	PUNCT
fumecheng-8241	55	38	.	.	PUNCT
fumecheng-8241	56	1	the	the	DET
fumecheng-8241	56	2	homotopy	homotopy	NOUN
fumecheng-8241	56	3	perturbation	perturbation	NOUN
fumecheng-8241	56	4	method	method	NOUN
fumecheng-8241	56	5	(	(	PUNCT
fumecheng-8241	56	6	hpm	hpm	NOUN
fumecheng-8241	56	7	)	)	PUNCT
fumecheng-8241	56	8	is	be	AUX
fumecheng-8241	56	9	the	the	DET
fumecheng-8241	56	10	one	one	NOUN
fumecheng-8241	56	11	that	that	PRON
fumecheng-8241	56	12	provides	provide	VERB
fumecheng-8241	56	13	remarkably	remarkably	ADV
fumecheng-8241	56	14	fast	fast	ADJ
fumecheng-8241	56	15	convergence	convergence	NOUN
fumecheng-8241	56	16	with	with	ADP
fumecheng-8241	56	17	high	high	ADJ
fumecheng-8241	56	18	accuracy	accuracy	NOUN
fumecheng-8241	56	19	in	in	ADP
fumecheng-8241	56	20	series	series	NOUN
fumecheng-8241	56	21	solutions	solution	NOUN
fumecheng-8241	56	22	for	for	ADP
fumecheng-8241	56	23	highly	highly	ADV
fumecheng-8241	56	24	nonlinear	nonlinear	ADJ
fumecheng-8241	56	25	systems	system	NOUN
fumecheng-8241	56	26	and	and	CCONJ
fumecheng-8241	56	27	is	be	AUX
fumecheng-8241	56	28	not	not	PART
fumecheng-8241	56	29	restricted	restrict	VERB
fumecheng-8241	56	30	by	by	ADP
fumecheng-8241	56	31	the	the	DET
fumecheng-8241	56	32	assumption	assumption	NOUN
fumecheng-8241	56	33	of	of	ADP
fumecheng-8241	56	34	a	a	DET
fumecheng-8241	56	35	small	small	ADJ
fumecheng-8241	56	36	number	number	NOUN
fumecheng-8241	56	37	that	that	PRON
fumecheng-8241	56	38	existed	exist	VERB
fumecheng-8241	56	39	in	in	ADP
fumecheng-8241	56	40	conventional	conventional	ADJ
fumecheng-8241	56	41	perturbation	perturbation	NOUN
fumecheng-8241	56	42	approaches	approach	NOUN
fumecheng-8241	56	43	[	[	X
fumecheng-8241	56	44	35	35	NUM
fumecheng-8241	56	45	-	-	SYM
fumecheng-8241	56	46	37	37	NUM
fumecheng-8241	56	47	]	]	PUNCT
fumecheng-8241	56	48	.	.	PUNCT
fumecheng-8241	57	1	essentially	essentially	ADV
fumecheng-8241	57	2	,	,	PUNCT
fumecheng-8241	57	3	this	this	DET
fumecheng-8241	57	4	approach	approach	NOUN
fumecheng-8241	57	5	is	be	AUX
fumecheng-8241	57	6	a	a	DET
fumecheng-8241	57	7	hybrid	hybrid	NOUN
fumecheng-8241	57	8	of	of	ADP
fumecheng-8241	57	9	the	the	DET
fumecheng-8241	57	10	traditional	traditional	ADJ
fumecheng-8241	57	11	perturbation	perturbation	NOUN
fumecheng-8241	57	12	and	and	CCONJ
fumecheng-8241	57	13	homotopy	homotopy	NOUN
fumecheng-8241	57	14	approaches	approach	NOUN
fumecheng-8241	57	15	,	,	PUNCT
fumecheng-8241	57	16	which	which	PRON
fumecheng-8241	57	17	have	have	AUX
fumecheng-8241	57	18	been	be	AUX
fumecheng-8241	57	19	successfully	successfully	ADV
fumecheng-8241	57	20	applied	apply	VERB
fumecheng-8241	57	21	to	to	ADP
fumecheng-8241	57	22	nonlinear	nonlinear	ADJ
fumecheng-8241	57	23	oscillations	oscillation	NOUN
fumecheng-8241	57	24	,	,	PUNCT
fumecheng-8241	57	25	wave	wave	NOUN
fumecheng-8241	57	26	,	,	PUNCT
fumecheng-8241	57	27	integral	integral	ADJ
fumecheng-8241	57	28	,	,	PUNCT
fumecheng-8241	57	29	heat	heat	NOUN
fumecheng-8241	57	30	conduction	conduction	NOUN
fumecheng-8241	57	31	/	/	SYM
fumecheng-8241	57	32	convection	convection	NOUN
fumecheng-8241	57	33	/	/	SYM
fumecheng-8241	57	34	radiation	radiation	NOUN
fumecheng-8241	57	35	equations	equation	NOUN
fumecheng-8241	57	36	,	,	PUNCT
fumecheng-8241	57	37	dispersion	dispersion	NOUN
fumecheng-8241	57	38	equations	equation	NOUN
fumecheng-8241	57	39	,	,	PUNCT
fumecheng-8241	57	40	etc	etc	X
fumecheng-8241	57	41	.	.	X
fumecheng-8241	58	1	there	there	PRON
fumecheng-8241	58	2	are	be	VERB
fumecheng-8241	58	3	several	several	ADJ
fumecheng-8241	58	4	approaches	approach	NOUN
fumecheng-8241	58	5	with	with	ADP
fumecheng-8241	58	6	the	the	DET
fumecheng-8241	58	7	same	same	ADJ
fumecheng-8241	58	8	characteristics	characteristic	NOUN
fumecheng-8241	58	9	,	,	PUNCT
fumecheng-8241	58	10	such	such	ADJ
fumecheng-8241	58	11	as	as	ADP
fumecheng-8241	58	12	modified	modified	ADJ
fumecheng-8241	58	13	hpm	hpm	NOUN
fumecheng-8241	58	14	[	[	X
fumecheng-8241	58	15	38	38	NUM
fumecheng-8241	58	16	,	,	PUNCT
fumecheng-8241	58	17	39	39	NUM
fumecheng-8241	58	18	]	]	PUNCT
fumecheng-8241	58	19	,	,	PUNCT
fumecheng-8241	58	20	global	global	ADJ
fumecheng-8241	58	21	error	error	NOUN
fumecheng-8241	58	22	minimization	minimization	NOUN
fumecheng-8241	58	23	method	method	NOUN
fumecheng-8241	58	24	[	[	X
fumecheng-8241	58	25	40	40	NUM
fumecheng-8241	58	26	]	]	PUNCT
fumecheng-8241	58	27	,	,	PUNCT
fumecheng-8241	58	28	book	book	NOUN
fumecheng-8241	58	29	-	-	PUNCT
fumecheng-8241	58	30	keeping	keep	VERB
fumecheng-8241	58	31	parameter	parameter	NOUN
fumecheng-8241	58	32	perturbation	perturbation	NOUN
fumecheng-8241	58	33	method	method	NOUN
fumecheng-8241	58	34	[	[	X
fumecheng-8241	58	35	41	41	NUM
fumecheng-8241	58	36	]	]	PUNCT
fumecheng-8241	58	37	,	,	PUNCT
fumecheng-8241	58	38	energy	energy	NOUN
fumecheng-8241	58	39	balance	balance	NOUN
fumecheng-8241	58	40	method	method	NOUN
fumecheng-8241	58	41	[	[	X
fumecheng-8241	58	42	42	42	NUM
fumecheng-8241	58	43	]	]	PUNCT
fumecheng-8241	58	44	,	,	PUNCT
fumecheng-8241	58	45	and	and	CCONJ
fumecheng-8241	58	46	he	he	PRON
fumecheng-8241	58	47	’s	’	VERB
fumecheng-8241	58	48	frequency	frequency	NOUN
fumecheng-8241	58	49	formulation	formulation	NOUN
fumecheng-8241	58	50	[	[	X
fumecheng-8241	58	51	43	43	NUM
fumecheng-8241	58	52	]	]	PUNCT
fumecheng-8241	58	53	.	.	PUNCT
fumecheng-8241	59	1	this	this	DET
fumecheng-8241	59	2	study	study	NOUN
fumecheng-8241	59	3	proposes	propose	VERB
fumecheng-8241	59	4	a	a	DET
fumecheng-8241	59	5	new	new	ADJ
fumecheng-8241	59	6	methodology	methodology	NOUN
fumecheng-8241	59	7	for	for	ADP
fumecheng-8241	59	8	free	free	ADJ
fumecheng-8241	59	9	/	/	SYM
fumecheng-8241	59	10	forced	force	VERB
fumecheng-8241	59	11	vibration	vibration	NOUN
fumecheng-8241	59	12	and	and	CCONJ
fumecheng-8241	59	13	stability	stability	NOUN
fumecheng-8241	59	14	analysis	analysis	NOUN
fumecheng-8241	59	15	of	of	ADP
fumecheng-8241	59	16	a	a	DET
fumecheng-8241	59	17	rotating	rotate	VERB
fumecheng-8241	59	18	cracked	crack	VERB
fumecheng-8241	59	19	structure	structure	NOUN
fumecheng-8241	59	20	(	(	PUNCT
fumecheng-8241	59	21	a	a	DET
fumecheng-8241	59	22	flexible	flexible	ADJ
fumecheng-8241	59	23	cantilever	cantilever	NOUN
fumecheng-8241	59	24	beam	beam	NOUN
fumecheng-8241	59	25	attached	attach	VERB
fumecheng-8241	59	26	to	to	ADP
fumecheng-8241	59	27	the	the	DET
fumecheng-8241	59	28	rotating	rotate	VERB
fumecheng-8241	59	29	hub	hub	NOUN
fumecheng-8241	59	30	considering	consider	VERB
fumecheng-8241	59	31	centrifugal	centrifugal	ADJ
fumecheng-8241	59	32	stiffening	stiffening	NOUN
fumecheng-8241	59	33	effects	effect	NOUN
fumecheng-8241	59	34	)	)	PUNCT
fumecheng-8241	59	35	using	use	VERB
fumecheng-8241	59	36	a	a	DET
fumecheng-8241	59	37	high	high	ADJ
fumecheng-8241	59	38	-	-	PUNCT
fumecheng-8241	59	39	deformation	deformation	NOUN
fumecheng-8241	59	40	homotopy	homotopy	NOUN
fumecheng-8241	59	41	perturbation	perturbation	NOUN
fumecheng-8241	59	42	approach	approach	NOUN
fumecheng-8241	59	43	(	(	PUNCT
fumecheng-8241	59	44	a	a	DET
fumecheng-8241	59	45	semi	semi	ADJ
fumecheng-8241	59	46	-	-	ADJ
fumecheng-8241	59	47	analytical	analytical	ADJ
fumecheng-8241	59	48	method).the	method).the	DET
fumecheng-8241	59	49	nonlinear	nonlinear	ADJ
fumecheng-8241	59	50	partial	partial	ADJ
fumecheng-8241	59	51	equations	equation	NOUN
fumecheng-8241	59	52	of	of	ADP
fumecheng-8241	59	53	the	the	DET
fumecheng-8241	59	54	motion	motion	NOUN
fumecheng-8241	59	55	of	of	ADP
fumecheng-8241	59	56	the	the	DET
fumecheng-8241	59	57	system	system	NOUN
fumecheng-8241	59	58	applying	apply	VERB
fumecheng-8241	59	59	the	the	DET
fumecheng-8241	59	60	galerkin	galerkin	ADJ
fumecheng-8241	59	61	method	method	NOUN
fumecheng-8241	59	62	lead	lead	VERB
fumecheng-8241	59	63	to	to	ADP
fumecheng-8241	59	64	a	a	DET
fumecheng-8241	59	65	nonlinear	nonlinear	ADJ
fumecheng-8241	59	66	second	second	ADJ
fumecheng-8241	59	67	-	-	PUNCT
fumecheng-8241	59	68	order	order	NOUN
fumecheng-8241	59	69	ordinary	ordinary	ADJ
fumecheng-8241	59	70	differential	differential	ADJ
fumecheng-8241	59	71	equation	equation	NOUN
fumecheng-8241	59	72	(	(	PUNCT
fumecheng-8241	59	73	node	node	NOUN
fumecheng-8241	59	74	)	)	PUNCT
fumecheng-8241	59	75	.	.	PUNCT
fumecheng-8241	60	1	next	next	ADV
fumecheng-8241	60	2	,	,	PUNCT
fumecheng-8241	60	3	a	a	DET
fumecheng-8241	60	4	semi	semi	ADJ
fumecheng-8241	60	5	-	-	ADJ
fumecheng-8241	60	6	analytical	analytical	ADJ
fumecheng-8241	60	7	technique	technique	NOUN
fumecheng-8241	60	8	is	be	AUX
fumecheng-8241	60	9	developed	develop	VERB
fumecheng-8241	60	10	to	to	PART
fumecheng-8241	60	11	establish	establish	VERB
fumecheng-8241	60	12	a	a	DET
fumecheng-8241	60	13	more	more	ADV
fumecheng-8241	60	14	precise	precise	ADJ
fumecheng-8241	60	15	and	and	CCONJ
fumecheng-8241	60	16	reliable	reliable	ADJ
fumecheng-8241	60	17	solution	solution	NOUN
fumecheng-8241	60	18	for	for	ADP
fumecheng-8241	60	19	the	the	DET
fumecheng-8241	60	20	system	system	NOUN
fumecheng-8241	60	21	's	's	PART
fumecheng-8241	60	22	nonlinear	nonlinear	ADJ
fumecheng-8241	60	23	natural	natural	ADJ
fumecheng-8241	60	24	frequencies	frequency	NOUN
fumecheng-8241	60	25	and	and	CCONJ
fumecheng-8241	60	26	time	time	NOUN
fumecheng-8241	60	27	response	response	NOUN
fumecheng-8241	60	28	to	to	PART
fumecheng-8241	60	29	study	study	VERB
fumecheng-8241	60	30	different	different	ADJ
fumecheng-8241	60	31	parameter	parameter	NOUN
fumecheng-8241	60	32	effects	effect	NOUN
fumecheng-8241	60	33	on	on	ADP
fumecheng-8241	60	34	the	the	DET
fumecheng-8241	60	35	stability	stability	NOUN
fumecheng-8241	60	36	analysis	analysis	NOUN
fumecheng-8241	60	37	of	of	ADP
fumecheng-8241	60	38	cracked	crack	VERB
fumecheng-8241	60	39	rotating	rotate	VERB
fumecheng-8241	60	40	structures	structure	NOUN
fumecheng-8241	60	41	.	.	PUNCT
fumecheng-8241	61	1	the	the	DET
fumecheng-8241	61	2	main	main	ADJ
fumecheng-8241	61	3	contributions	contribution	NOUN
fumecheng-8241	61	4	are	be	AUX
fumecheng-8241	61	5	prepared	prepare	VERB
fumecheng-8241	61	6	so	so	SCONJ
fumecheng-8241	61	7	that	that	SCONJ
fumecheng-8241	61	8	the	the	DET
fumecheng-8241	61	9	2d	2d	NOUN
fumecheng-8241	61	10	coupled	couple	VERB
fumecheng-8241	61	11	dynamic	dynamic	ADJ
fumecheng-8241	61	12	equations	equation	NOUN
fumecheng-8241	61	13	of	of	ADP
fumecheng-8241	61	14	the	the	DET
fumecheng-8241	61	15	motion	motion	NOUN
fumecheng-8241	61	16	of	of	ADP
fumecheng-8241	61	17	a	a	DET
fumecheng-8241	61	18	rotating	rotate	VERB
fumecheng-8241	61	19	elastic	elastic	ADJ
fumecheng-8241	61	20	cracked	crack	VERB
fumecheng-8241	61	21	beam	beam	NOUN
fumecheng-8241	61	22	are	be	AUX
fumecheng-8241	61	23	formulated	formulate	VERB
fumecheng-8241	61	24	considering	consider	VERB
fumecheng-8241	61	25	centrifugal	centrifugal	ADJ
fumecheng-8241	61	26	stiffness	stiffness	NOUN
fumecheng-8241	61	27	while	while	SCONJ
fumecheng-8241	61	28	hpm	hpm	NOUN
fumecheng-8241	61	29	(	(	PUNCT
fumecheng-8241	61	30	with	with	ADP
fumecheng-8241	61	31	high	high	ADJ
fumecheng-8241	61	32	-	-	PUNCT
fumecheng-8241	61	33	order	order	NOUN
fumecheng-8241	61	34	deformation	deformation	NOUN
fumecheng-8241	61	35	configuration	configuration	NOUN
fumecheng-8241	61	36	)	)	PUNCT
fumecheng-8241	61	37	with	with	SCONJ
fumecheng-8241	61	38	second	second	ADJ
fumecheng-8241	61	39	-	-	PUNCT
fumecheng-8241	61	40	order	order	NOUN
fumecheng-8241	61	41	approximation	approximation	NOUN
fumecheng-8241	61	42	is	be	AUX
fumecheng-8241	61	43	constructed	construct	VERB
fumecheng-8241	61	44	to	to	PART
fumecheng-8241	61	45	solve	solve	VERB
fumecheng-8241	61	46	the	the	DET
fumecheng-8241	61	47	problem	problem	NOUN
fumecheng-8241	61	48	.	.	PUNCT
fumecheng-8241	62	1	the	the	DET
fumecheng-8241	62	2	proposed	propose	VERB
fumecheng-8241	62	3	approach	approach	NOUN
fumecheng-8241	62	4	serves	serve	VERB
fumecheng-8241	62	5	as	as	SCONJ
fumecheng-8241	62	6	the	the	DET
fumecheng-8241	62	7	foundation	foundation	NOUN
fumecheng-8241	62	8	for	for	ADP
fumecheng-8241	62	9	generalizing	generalize	VERB
fumecheng-8241	62	10	and	and	CCONJ
fumecheng-8241	62	11	implementing	implement	VERB
fumecheng-8241	62	12	the	the	DET
fumecheng-8241	62	13	hpm	hpm	NOUN
fumecheng-8241	62	14	for	for	ADP
fumecheng-8241	62	15	a	a	DET
fumecheng-8241	62	16	broader	broad	ADJ
fumecheng-8241	62	17	class	class	NOUN
fumecheng-8241	62	18	of	of	ADP
fumecheng-8241	62	19	structural	structural	ADJ
fumecheng-8241	62	20	dynamics	dynamic	NOUN
fumecheng-8241	62	21	problems	problem	NOUN
fumecheng-8241	62	22	referred	refer	VERB
fumecheng-8241	62	23	to	to	ADP
fumecheng-8241	62	24	as	as	ADP
fumecheng-8241	62	25	rigid	rigid	ADJ
fumecheng-8241	62	26	-	-	PUNCT
fumecheng-8241	62	27	flexible	flexible	ADJ
fumecheng-8241	62	28	body	body	NOUN
fumecheng-8241	62	29	problems	problem	NOUN
fumecheng-8241	62	30	.	.	PUNCT
fumecheng-8241	63	1	this	this	DET
fumecheng-8241	63	2	paper	paper	NOUN
fumecheng-8241	63	3	is	be	AUX
fumecheng-8241	63	4	organized	organize	VERB
fumecheng-8241	63	5	as	as	SCONJ
fumecheng-8241	63	6	follows	follow	VERB
fumecheng-8241	63	7	:	:	PUNCT
fumecheng-8241	63	8	the	the	DET
fumecheng-8241	63	9	dynamic	dynamic	ADJ
fumecheng-8241	63	10	equation	equation	NOUN
fumecheng-8241	63	11	of	of	ADP
fumecheng-8241	63	12	the	the	DET
fumecheng-8241	63	13	motion	motion	NOUN
fumecheng-8241	63	14	of	of	ADP
fumecheng-8241	63	15	the	the	DET
fumecheng-8241	63	16	rotating	rotate	VERB
fumecheng-8241	63	17	cracked	crack	VERB
fumecheng-8241	63	18	structure	structure	NOUN
fumecheng-8241	63	19	is	be	AUX
fumecheng-8241	63	20	derived	derive	VERB
fumecheng-8241	63	21	in	in	ADP
fumecheng-8241	63	22	section	section	NOUN
fumecheng-8241	63	23	2	2	NUM
fumecheng-8241	63	24	and	and	CCONJ
fumecheng-8241	63	25	solved	solve	VERB
fumecheng-8241	63	26	by	by	ADP
fumecheng-8241	63	27	a	a	DET
fumecheng-8241	63	28	high	high	ADJ
fumecheng-8241	63	29	-	-	PUNCT
fumecheng-8241	63	30	order	order	NOUN
fumecheng-8241	63	31	deformation	deformation	NOUN
fumecheng-8241	63	32	hpm	hpm	NOUN
fumecheng-8241	63	33	in	in	ADP
fumecheng-8241	63	34	section	section	NOUN
fumecheng-8241	63	35	3	3	NUM
fumecheng-8241	63	36	.	.	PUNCT
fumecheng-8241	64	1	in	in	ADP
fumecheng-8241	64	2	section	section	NOUN
fumecheng-8241	64	3	4	4	NUM
fumecheng-8241	64	4	,	,	PUNCT
fumecheng-8241	64	5	numerical	numerical	ADJ
fumecheng-8241	64	6	and	and	CCONJ
fumecheng-8241	64	7	analytical	analytical	ADJ
fumecheng-8241	64	8	simulations	simulation	NOUN
fumecheng-8241	64	9	are	be	AUX
fumecheng-8241	64	10	given	give	VERB
fumecheng-8241	64	11	and	and	CCONJ
fumecheng-8241	64	12	compared	compare	VERB
fumecheng-8241	64	13	for	for	ADP
fumecheng-8241	64	14	verifications	verification	NOUN
fumecheng-8241	64	15	.	.	PUNCT
fumecheng-8241	65	1	finally	finally	ADV
fumecheng-8241	65	2	,	,	PUNCT
fumecheng-8241	65	3	in	in	ADP
fumecheng-8241	65	4	section	section	NOUN
fumecheng-8241	65	5	5	5	NUM
fumecheng-8241	65	6	,	,	PUNCT
fumecheng-8241	65	7	the	the	DET
fumecheng-8241	65	8	conclusions	conclusion	NOUN
fumecheng-8241	65	9	are	be	AUX
fumecheng-8241	65	10	drawn	draw	VERB
fumecheng-8241	65	11	.	.	PUNCT
fumecheng-8241	66	1	the	the	DET
fumecheng-8241	66	2	predefined	predefine	VERB
fumecheng-8241	66	3	styles	style	NOUN
fumecheng-8241	66	4	are	be	AUX
fumecheng-8241	66	5	to	to	PART
fumecheng-8241	66	6	be	be	AUX
fumecheng-8241	66	7	used	use	VERB
fumecheng-8241	66	8	.	.	PUNCT
fumecheng-8241	67	1	4	4	NUM
fumecheng-8241	67	2	a.	a.	NOUN
fumecheng-8241	67	3	tavakoli	tavakoli	PROPN
fumecheng-8241	67	4	maleki	maleki	NOUN
fumecheng-8241	67	5	,	,	PUNCT
fumecheng-8241	67	6	m.	m.	NOUN
fumecheng-8241	67	7	azimi	azimi	PROPN
fumecheng-8241	67	8	,	,	PUNCT
fumecheng-8241	67	9	s.	s.	PROPN
fumecheng-8241	67	10	moradi	moradi	PROPN
fumecheng-8241	67	11	2	2	X
fumecheng-8241	67	12	.	.	PUNCT
fumecheng-8241	67	13	governing	govern	VERB
fumecheng-8241	67	14	equations	equation	NOUN
fumecheng-8241	67	15	of	of	ADP
fumecheng-8241	67	16	motion	motion	NOUN
fumecheng-8241	67	17	the	the	DET
fumecheng-8241	67	18	cracked	crack	VERB
fumecheng-8241	67	19	rotating	rotate	VERB
fumecheng-8241	67	20	-	-	PUNCT
fumecheng-8241	67	21	beam	beam	NOUN
fumecheng-8241	67	22	configuration	configuration	NOUN
fumecheng-8241	67	23	is	be	AUX
fumecheng-8241	67	24	shown	show	VERB
fumecheng-8241	67	25	in	in	ADP
fumecheng-8241	67	26	fig	fig	NOUN
fumecheng-8241	67	27	.	.	PUNCT
fumecheng-8241	68	1	1	1	X
fumecheng-8241	68	2	.	.	PUNCT
fumecheng-8241	68	3	the	the	DET
fumecheng-8241	68	4	structural	structural	ADJ
fumecheng-8241	68	5	model	model	NOUN
fumecheng-8241	68	6	is	be	AUX
fumecheng-8241	68	7	considered	consider	VERB
fumecheng-8241	68	8	an	an	DET
fumecheng-8241	68	9	eb	eb	PROPN
fumecheng-8241	68	10	isotropic	isotropic	NOUN
fumecheng-8241	68	11	and	and	CCONJ
fumecheng-8241	68	12	uniform	uniform	ADJ
fumecheng-8241	68	13	cantilevered	cantilever	VERB
fumecheng-8241	68	14	beam	beam	NOUN
fumecheng-8241	68	15	with	with	ADP
fumecheng-8241	68	16	density	density	NOUN
fumecheng-8241	68	17	ρ	ρ	PROPN
fumecheng-8241	68	18	,	,	PUNCT
fumecheng-8241	68	19	length	length	NOUN
fumecheng-8241	68	20	l	l	NOUN
fumecheng-8241	68	21	,	,	PUNCT
fumecheng-8241	68	22	cross	cross	ADJ
fumecheng-8241	68	23	-	-	ADJ
fumecheng-8241	68	24	section	section	ADJ
fumecheng-8241	68	25	area	area	NOUN
fumecheng-8241	68	26	a	a	DET
fumecheng-8241	68	27	,	,	PUNCT
fumecheng-8241	68	28	modulus	modulus	NOUN
fumecheng-8241	68	29	of	of	ADP
fumecheng-8241	68	30	elasticity	elasticity	NOUN
fumecheng-8241	68	31	e	e	NOUN
fumecheng-8241	68	32	,	,	PUNCT
fumecheng-8241	68	33	and	and	CCONJ
fumecheng-8241	68	34	a	a	DET
fumecheng-8241	68	35	single	single	ADJ
fumecheng-8241	68	36	-	-	PUNCT
fumecheng-8241	68	37	axis	axis	NOUN
fumecheng-8241	68	38	(	(	PUNCT
fumecheng-8241	68	39	about	about	ADP
fumecheng-8241	68	40	z	z	NOUN
fumecheng-8241	68	41	-	-	PUNCT
fumecheng-8241	68	42	direction	direction	NOUN
fumecheng-8241	68	43	)	)	PUNCT
fumecheng-8241	68	44	rotating	rotate	VERB
fumecheng-8241	68	45	hub	hub	NOUN
fumecheng-8241	68	46	with	with	ADP
fumecheng-8241	68	47	an	an	DET
fumecheng-8241	68	48	angular	angular	ADJ
fumecheng-8241	68	49	velocity	velocity	NOUN
fumecheng-8241	68	50	.	.	PUNCT
fumecheng-8241	68	51	the	the	DET
fumecheng-8241	68	52	crack	crack	NOUN
fumecheng-8241	68	53	is	be	AUX
fumecheng-8241	68	54	assumed	assume	VERB
fumecheng-8241	68	55	to	to	PART
fumecheng-8241	68	56	be	be	AUX
fumecheng-8241	68	57	perpendicular	perpendicular	ADJ
fumecheng-8241	68	58	to	to	ADP
fumecheng-8241	68	59	the	the	DET
fumecheng-8241	68	60	beam	beam	NOUN
fumecheng-8241	68	61	's	's	PART
fumecheng-8241	68	62	surface	surface	NOUN
fumecheng-8241	68	63	and	and	CCONJ
fumecheng-8241	68	64	open	open	ADJ
fumecheng-8241	68	65	at	at	ADP
fumecheng-8241	68	66	all	all	DET
fumecheng-8241	68	67	times	time	NOUN
fumecheng-8241	68	68	.	.	PUNCT
fumecheng-8241	69	1	it	it	PRON
fumecheng-8241	69	2	appears	appear	VERB
fumecheng-8241	69	3	as	as	ADP
fumecheng-8241	69	4	a	a	DET
fumecheng-8241	69	5	discontinuity	discontinuity	NOUN
fumecheng-8241	69	6	that	that	PRON
fumecheng-8241	69	7	affects	affect	VERB
fumecheng-8241	69	8	the	the	DET
fumecheng-8241	69	9	structure	structure	NOUN
fumecheng-8241	69	10	's	's	PART
fumecheng-8241	69	11	local	local	ADJ
fumecheng-8241	69	12	stiffness	stiffness	NOUN
fumecheng-8241	69	13	,	,	PUNCT
fumecheng-8241	69	14	the	the	DET
fumecheng-8241	69	15	same	same	ADJ
fumecheng-8241	69	16	as	as	ADP
fumecheng-8241	69	17	a	a	DET
fumecheng-8241	69	18	mass	mass	NOUN
fumecheng-8241	69	19	-	-	PUNCT
fumecheng-8241	69	20	less	less	ADV
fumecheng-8241	69	21	torsional	torsional	ADJ
fumecheng-8241	69	22	spring	spring	NOUN
fumecheng-8241	69	23	(	(	PUNCT
fumecheng-8241	69	24	with	with	ADP
fumecheng-8241	69	25	stiffness	stiffness	NOUN
fumecheng-8241	69	26	k	k	NOUN
fumecheng-8241	69	27	)	)	PUNCT
fumecheng-8241	69	28	.	.	PUNCT
fumecheng-8241	70	1	fig	fig	NOUN
fumecheng-8241	70	2	.	.	PUNCT
fumecheng-8241	71	1	1	1	NUM
fumecheng-8241	71	2	rotating	rotate	VERB
fumecheng-8241	71	3	cantilevered	cantilever	VERB
fumecheng-8241	71	4	cracked	crack	VERB
fumecheng-8241	71	5	structure	structure	NOUN
fumecheng-8241	71	6	the	the	DET
fumecheng-8241	71	7	three	three	NUM
fumecheng-8241	71	8	-	-	PUNCT
fumecheng-8241	71	9	dimensional	dimensional	ADJ
fumecheng-8241	71	10	(	(	PUNCT
fumecheng-8241	71	11	3d	3d	NOUN
fumecheng-8241	71	12	)	)	PUNCT
fumecheng-8241	71	13	displacement	displacement	ADJ
fumecheng-8241	71	14	field	field	NOUN
fumecheng-8241	71	15	for	for	ADP
fumecheng-8241	71	16	the	the	DET
fumecheng-8241	71	17	eb	eb	PROPN
fumecheng-8241	71	18	beam	beam	PROPN
fumecheng-8241	71	19	is	be	AUX
fumecheng-8241	71	20	considered	consider	VERB
fumecheng-8241	71	21	as	as	ADP
fumecheng-8241	71	22	:	:	PUNCT
fumecheng-8241	71	23	,	,	PUNCT
fumecheng-8241	71	24	,	,	PUNCT
fumecheng-8241	71	25	x	x	PUNCT
fumecheng-8241	71	26	y	y	PROPN
fumecheng-8241	71	27	zu	zu	NUM
fumecheng-8241	71	28	u	u	NOUN
fumecheng-8241	71	29	zw	zw	PROPN
fumecheng-8241	71	30	y	y	PROPN
fumecheng-8241	71	31	u	u	PROPN
fumecheng-8241	71	32	u	u	NOUN
fumecheng-8241	71	33	w	w	NUM
fumecheng-8241	71	34			PROPN
fumecheng-8241	71	35			PROPN
fumecheng-8241	71	36			PROPN
fumecheng-8241	71	37			PROPN
fumecheng-8241	71	38			ADV
fumecheng-8241	71	39			NOUN
fumecheng-8241	71	40	(	(	PUNCT
fumecheng-8241	71	41	1	1	X
fumecheng-8241	71	42	)	)	PUNCT
fumecheng-8241	71	43	considering	consider	VERB
fumecheng-8241	71	44	that	that	SCONJ
fumecheng-8241	71	45	large	large	ADJ
fumecheng-8241	71	46	deformations	deformation	NOUN
fumecheng-8241	71	47	involve	involve	VERB
fumecheng-8241	71	48	nonlinear	nonlinear	ADJ
fumecheng-8241	71	49	problems	problem	NOUN
fumecheng-8241	71	50	,	,	PUNCT
fumecheng-8241	71	51	the	the	DET
fumecheng-8241	71	52	displacement	displacement	NOUN
fumecheng-8241	71	53	strains	strain	NOUN
fumecheng-8241	71	54	are	be	AUX
fumecheng-8241	71	55	expressed	express	VERB
fumecheng-8241	71	56	as	as	ADP
fumecheng-8241	71	57	:	:	PUNCT
fumecheng-8241	71	58			PROPN
fumecheng-8241	71	59			PROPN
fumecheng-8241	71	60	,	,	PUNCT
fumecheng-8241	71	61	,	,	PUNCT
fumecheng-8241	71	62	,	,	PUNCT
fumecheng-8241	71	63	,	,	PUNCT
fumecheng-8241	71	64	1	1	NUM
fumecheng-8241	71	65	,	,	PUNCT
fumecheng-8241	71	66	,	,	PUNCT
fumecheng-8241	71	67	,	,	PUNCT
fumecheng-8241	71	68	,	,	PUNCT
fumecheng-8241	71	69	,	,	PUNCT
fumecheng-8241	71	70	2	2	NUM
fumecheng-8241	71	71	ij	ij	INTJ
fumecheng-8241	71	72	i	i	PRON
fumecheng-8241	72	1	j	j	PROPN
fumecheng-8241	73	1	j	j	INTJ
fumecheng-8241	74	1	i	i	PRON
fumecheng-8241	75	1	i	i	PRON
fumecheng-8241	75	2	k	k	PROPN
fumecheng-8241	76	1	j	j	PROPN
fumecheng-8241	76	2	ku	ku	PROPN
fumecheng-8241	76	3	u	u	PROPN
fumecheng-8241	76	4	u	u	PROPN
fumecheng-8241	76	5	u	u	NOUN
fumecheng-8241	76	6	i	i	NOUN
fumecheng-8241	76	7	j	j	PROPN
fumecheng-8241	77	1	k	k	NOUN
fumecheng-8241	77	2	x	x	PUNCT
fumecheng-8241	77	3	y	y	PROPN
fumecheng-8241	77	4	z	z	PROPN
fumecheng-8241	77	5			PROPN
fumecheng-8241	77	6			ADV
fumecheng-8241	77	7			PUNCT
fumecheng-8241	77	8			PROPN
fumecheng-8241	77	9	(	(	PUNCT
fumecheng-8241	77	10	2	2	X
fumecheng-8241	77	11	)	)	PUNCT
fumecheng-8241	77	12	considering	consider	VERB
fumecheng-8241	77	13	u=0	u=0	INTJ
fumecheng-8241	77	14	in	in	ADP
fumecheng-8241	77	15	ux	ux	ADJ
fumecheng-8241	77	16	displacement	displacement	ADJ
fumecheng-8241	77	17	field	field	NOUN
fumecheng-8241	77	18	,	,	PUNCT
fumecheng-8241	77	19	using	use	VERB
fumecheng-8241	77	20	the	the	DET
fumecheng-8241	77	21	energy	energy	NOUN
fumecheng-8241	77	22	approach	approach	NOUN
fumecheng-8241	77	23	,	,	PUNCT
fumecheng-8241	77	24	the	the	DET
fumecheng-8241	77	25	equations	equation	NOUN
fumecheng-8241	77	26	of	of	ADP
fumecheng-8241	77	27	the	the	DET
fumecheng-8241	77	28	motion	motion	NOUN
fumecheng-8241	77	29	can	can	AUX
fumecheng-8241	77	30	be	be	AUX
fumecheng-8241	77	31	obtained	obtain	VERB
fumecheng-8241	77	32	by	by	ADP
fumecheng-8241	77	33	the	the	DET
fumecheng-8241	77	34	hamilton	hamilton	PROPN
fumecheng-8241	77	35	principle	principle	PROPN
fumecheng-8241	77	36	described	describe	VERB
fumecheng-8241	77	37	by	by	ADP
fumecheng-8241	77	38	[	[	X
fumecheng-8241	77	39	44	44	NUM
fumecheng-8241	77	40	]	]	X
fumecheng-8241	77	41	:	:	PUNCT
fumecheng-8241	77	42			NOUN
fumecheng-8241	77	43			SYM
fumecheng-8241	77	44	2	2	NUM
fumecheng-8241	77	45	1	1	NUM
fumecheng-8241	77	46	0	0	NUM
fumecheng-8241	77	47	t	t	NOUN
fumecheng-8241	77	48	t	t	PROPN
fumecheng-8241	77	49	t	t	PROPN
fumecheng-8241	77	50	u	u	PROPN
fumecheng-8241	77	51	w	w	PROPN
fumecheng-8241	77	52	dt	dt	PROPN
fumecheng-8241	77	53			PROPN
fumecheng-8241	77	54			VERB
fumecheng-8241	77	55			PROPN
fumecheng-8241	77	56	(	(	PUNCT
fumecheng-8241	77	57	3	3	NUM
fumecheng-8241	77	58	)	)	PUNCT
fumecheng-8241	77	59	where	where	SCONJ
fumecheng-8241	77	60	t	t	PROPN
fumecheng-8241	77	61	,	,	PUNCT
fumecheng-8241	77	62	u	u	NOUN
fumecheng-8241	77	63	,	,	PUNCT
fumecheng-8241	77	64	and	and	CCONJ
fumecheng-8241	77	65	w	w	NOUN
fumecheng-8241	77	66	are	be	AUX
fumecheng-8241	77	67	the	the	DET
fumecheng-8241	77	68	kinetic	kinetic	NOUN
fumecheng-8241	77	69	,	,	PUNCT
fumecheng-8241	77	70	potential	potential	ADJ
fumecheng-8241	77	71	,	,	PUNCT
fumecheng-8241	77	72	and	and	CCONJ
fumecheng-8241	77	73	work	work	NOUN
fumecheng-8241	77	74	done	do	VERB
fumecheng-8241	77	75	by	by	ADP
fumecheng-8241	77	76	the	the	DET
fumecheng-8241	77	77	external	external	ADJ
fumecheng-8241	77	78	forces	force	NOUN
fumecheng-8241	77	79	,	,	PUNCT
fumecheng-8241	77	80	respectively	respectively	ADV
fumecheng-8241	77	81	,	,	PUNCT
fumecheng-8241	77	82	written	write	VERB
fumecheng-8241	77	83	as	as	ADP
fumecheng-8241	77	84	:	:	PUNCT
fumecheng-8241	77	85			NOUN
fumecheng-8241	77	86			PROPN
fumecheng-8241	77	87	2	2	NUM
fumecheng-8241	77	88	2	2	NUM
fumecheng-8241	77	89	2	2	NUM
fumecheng-8241	77	90	0	0	NUM
fumecheng-8241	77	91	1	1	NUM
fumecheng-8241	77	92	1	1	NUM
fumecheng-8241	77	93	=	=	SYM
fumecheng-8241	77	94	d	d	SYM
fumecheng-8241	77	95	2	2	NUM
fumecheng-8241	77	96	2	2	NUM
fumecheng-8241	77	97	l	l	NOUN
fumecheng-8241	77	98	t	t	NOUN
fumecheng-8241	77	99	a	a	DET
fumecheng-8241	77	100	w	w	PROPN
fumecheng-8241	77	101	dx	dx	PROPN
fumecheng-8241	77	102			ADP
fumecheng-8241	77	103			PROPN
fumecheng-8241	77	104			PROPN
fumecheng-8241	77	105	v	v	VERB
fumecheng-8241	77	106			PROPN
fumecheng-8241	77	107			PROPN
fumecheng-8241	77	108	2	2	NUM
fumecheng-8241	77	109	2	2	NUM
fumecheng-8241	77	110	ij	ij	NOUN
fumecheng-8241	77	111	11	11	NUM
fumecheng-8241	77	112	0	0	NUM
fumecheng-8241	77	113	2	2	NUM
fumecheng-8241	77	114	2	2	NUM
fumecheng-8241	77	115	0	0	NUM
fumecheng-8241	77	116	1	1	NUM
fumecheng-8241	77	117	1	1	NUM
fumecheng-8241	77	118	=	=	SYM
fumecheng-8241	77	119	d	d	SYM
fumecheng-8241	77	120	2	2	NUM
fumecheng-8241	77	121	2	2	NUM
fumecheng-8241	77	122	l	l	NOUN
fumecheng-8241	77	123	ij	ij	NOUN
fumecheng-8241	77	124	a	a	DET
fumecheng-8241	77	125	l	l	NOUN
fumecheng-8241	77	126	zz	zz	PUNCT
fumecheng-8241	77	127	yy	yy	INTJ
fumecheng-8241	77	128	u	u	X
fumecheng-8241	77	129	y	y	PROPN
fumecheng-8241	77	130	zw	zw	PROPN
fumecheng-8241	77	131	w	w	PROPN
fumecheng-8241	77	132	dadx	dadx	PROPN
fumecheng-8241	77	133	m	m	VERB
fumecheng-8241	77	134	m	m	VERB
fumecheng-8241	77	135	w	w	PROPN
fumecheng-8241	77	136	n	n	PROPN
fumecheng-8241	77	137	w	w	PROPN
fumecheng-8241	77	138	dx	dx	PROPN
fumecheng-8241	77	139			PROPN
fumecheng-8241	77	140			PROPN
fumecheng-8241	77	141			PROPN
fumecheng-8241	77	142			NUM
fumecheng-8241	77	143			NOUN
fumecheng-8241	77	144			NUM
fumecheng-8241	77	145			NUM
fumecheng-8241	77	146			NOUN
fumecheng-8241	77	147			NOUN
fumecheng-8241	77	148			PROPN
fumecheng-8241	77	149			PROPN
fumecheng-8241	78	1			PROPN
fumecheng-8241	78	2			PROPN
fumecheng-8241	78	3			PROPN
fumecheng-8241	78	4			VERB
fumecheng-8241	78	5			NOUN
fumecheng-8241	78	6			PROPN
fumecheng-8241	78	7			CCONJ
fumecheng-8241	78	8			PROPN
fumecheng-8241	78	9			PROPN
fumecheng-8241	79	1			PRON
fumecheng-8241	79	2			PROPN
fumecheng-8241	79	3			ADJ
fumecheng-8241	79	4			ADP
fumecheng-8241	79	5			PROPN
fumecheng-8241	79	6			PROPN
fumecheng-8241	79	7			PUNCT
fumecheng-8241	79	8			ADJ
fumecheng-8241	80	1			PROPN
fumecheng-8241	81	1			PROPN
fumecheng-8241	81	2			X
fumecheng-8241	81	3	(	(	PUNCT
fumecheng-8241	81	4	4	4	X
fumecheng-8241	81	5	)	)	PUNCT
fumecheng-8241	81	6	analytic	analytic	ADJ
fumecheng-8241	81	7	approximate	approximate	ADJ
fumecheng-8241	81	8	solution	solution	NOUN
fumecheng-8241	81	9	for	for	ADP
fumecheng-8241	81	10	nonlinear	nonlinear	ADJ
fumecheng-8241	81	11	dynamic	dynamic	ADJ
fumecheng-8241	81	12	analysis	analysis	NOUN
fumecheng-8241	81	13	of	of	ADP
fumecheng-8241	81	14	rotating	rotate	VERB
fumecheng-8241	81	15	elastic	elastic	ADJ
fumecheng-8241	81	16	beam	beam	NOUN
fumecheng-8241	81	17	5	5	NUM
fumecheng-8241	81	18			NOUN
fumecheng-8241	81	19			SYM
fumecheng-8241	81	20			NOUN
fumecheng-8241	81	21			PUNCT
fumecheng-8241	81	22			PROPN
fumecheng-8241	81	23			PROPN
fumecheng-8241	82	1	2	2	NUM
fumecheng-8241	82	2	2	2	NUM
fumecheng-8241	82	3	0	0	NUM
fumecheng-8241	82	4	0	0	NUM
fumecheng-8241	82	5	2	2	NUM
fumecheng-8241	82	6	2	2	NUM
fumecheng-8241	82	7	2	2	NUM
fumecheng-8241	82	8	2	2	NUM
fumecheng-8241	82	9	2	2	NUM
fumecheng-8241	82	10	0	0	NUM
fumecheng-8241	82	11	0	0	NUM
fumecheng-8241	82	12	1	1	NUM
fumecheng-8241	82	13	1	1	NUM
fumecheng-8241	82	14	2	2	NUM
fumecheng-8241	82	15	2	2	NUM
fumecheng-8241	82	16	1	1	NUM
fumecheng-8241	82	17	1	1	NUM
fumecheng-8241	82	18	2	2	NUM
fumecheng-8241	82	19	l	l	NOUN
fumecheng-8241	82	20	l	l	NOUN
fumecheng-8241	82	21	ext	ext	NOUN
fumecheng-8241	82	22	r	r	NOUN
fumecheng-8241	82	23	y	y	PROPN
fumecheng-8241	82	24	z	z	NOUN
fumecheng-8241	82	25	r	r	NOUN
fumecheng-8241	82	26	l	l	NOUN
fumecheng-8241	82	27	l	l	NOUN
fumecheng-8241	82	28	y	y	PROPN
fumecheng-8241	82	29	z	z	PROPN
fumecheng-8241	82	30	w	w	PROPN
fumecheng-8241	82	31	w	w	PROPN
fumecheng-8241	82	32	w	w	PROPN
fumecheng-8241	82	33	f	f	PROPN
fumecheng-8241	82	34	f	f	PROPN
fumecheng-8241	82	35	w	w	PROPN
fumecheng-8241	82	36	dx	dx	PROPN
fumecheng-8241	83	1	f	f	PROPN
fumecheng-8241	83	2	w	w	PROPN
fumecheng-8241	83	3	dx	dx	PROPN
fumecheng-8241	83	4	x	x	PROPN
fumecheng-8241	83	5	f	f	PROPN
fumecheng-8241	83	6	f	f	PROPN
fumecheng-8241	83	7	w	w	PROPN
fumecheng-8241	83	8	dx	dx	PROPN
fumecheng-8241	83	9	a	a	DET
fumecheng-8241	83	10	l	l	NOUN
fumecheng-8241	83	11	w	w	NOUN
fumecheng-8241	83	12	dx	dx	PROPN
fumecheng-8241	83	13	l	l	NOUN
fumecheng-8241	83	14			NUM
fumecheng-8241	83	15			PROPN
fumecheng-8241	83	16			NOUN
fumecheng-8241	83	17			ADP
fumecheng-8241	83	18			PRON
fumecheng-8241	83	19			NOUN
fumecheng-8241	84	1			ADP
fumecheng-8241	84	2			ADJ
fumecheng-8241	84	3			PROPN
fumecheng-8241	85	1			PROPN
fumecheng-8241	85	2			PROPN
fumecheng-8241	85	3			ADV
fumecheng-8241	85	4			PUNCT
fumecheng-8241	85	5			VERB
fumecheng-8241	85	6			ADJ
fumecheng-8241	85	7			PROPN
fumecheng-8241	85	8			PROPN
fumecheng-8241	85	9			NOUN
fumecheng-8241	85	10			PROPN
fumecheng-8241	85	11			PROPN
fumecheng-8241	85	12			ADJ
fumecheng-8241	85	13			PROPN
fumecheng-8241	85	14			PUNCT
fumecheng-8241	85	15			PROPN
fumecheng-8241	85	16			PROPN
fumecheng-8241	85	17			PROPN
fumecheng-8241	85	18			PROPN
fumecheng-8241	85	19			NOUN
fumecheng-8241	85	20			X
fumecheng-8241	86	1			VERB
fumecheng-8241	86	2			NOUN
fumecheng-8241	86	3			NOUN
fumecheng-8241	86	4			PUNCT
fumecheng-8241	86	5			X
fumecheng-8241	86	6			NOUN
fumecheng-8241	86	7			X
fumecheng-8241	87	1	with	with	ADP
fumecheng-8241	87	2	:	:	PUNCT
fumecheng-8241	87	3	11	11	NUM
fumecheng-8241	87	4	11	11	NUM
fumecheng-8241	87	5	11	11	NUM
fumecheng-8241	87	6	,	,	PUNCT
fumecheng-8241	87	7	,	,	PUNCT
fumecheng-8241	87	8	yy	yy	PROPN
fumecheng-8241	87	9	zz	zz	PROPN
fumecheng-8241	87	10	a	a	DET
fumecheng-8241	87	11	a	a	DET
fumecheng-8241	87	12	a	a	DET
fumecheng-8241	87	13	m	m	NOUN
fumecheng-8241	87	14	z	z	NOUN
fumecheng-8241	87	15	da	da	NOUN
fumecheng-8241	87	16	m	m	VERB
fumecheng-8241	87	17	yda	yda	NOUN
fumecheng-8241	87	18	n	n	ADV
fumecheng-8241	87	19	da	da	PROPN
fumecheng-8241	87	20			PROPN
fumecheng-8241	87	21			NOUN
fumecheng-8241	87	22			NOUN
fumecheng-8241	87	23			NOUN
fumecheng-8241	87	24			X
fumecheng-8241	87	25			X
fumecheng-8241	87	26	(	(	PUNCT
fumecheng-8241	87	27	5	5	NUM
fumecheng-8241	87	28	)	)	PUNCT
fumecheng-8241	87	29	where	where	SCONJ
fumecheng-8241	87	30	wext	wext	NOUN
fumecheng-8241	87	31	is	be	AUX
fumecheng-8241	87	32	the	the	DET
fumecheng-8241	87	33	work	work	NOUN
fumecheng-8241	87	34	done	do	VERB
fumecheng-8241	87	35	by	by	ADP
fumecheng-8241	87	36	external	external	ADJ
fumecheng-8241	87	37	forces	force	NOUN
fumecheng-8241	87	38	fy	fy	PROPN
fumecheng-8241	87	39	,	,	PUNCT
fumecheng-8241	87	40	fz	fz	X
fumecheng-8241	87	41	(	(	PUNCT
fumecheng-8241	87	42	such	such	ADJ
fumecheng-8241	87	43	as	as	ADP
fumecheng-8241	87	44	fluid	fluid	ADJ
fumecheng-8241	87	45	or	or	CCONJ
fumecheng-8241	87	46	external	external	ADJ
fumecheng-8241	87	47	excitation	excitation	NOUN
fumecheng-8241	87	48	)	)	PUNCT
fumecheng-8241	87	49	,	,	PUNCT
fumecheng-8241	87	50	wr	wr	PROPN
fumecheng-8241	87	51	is	be	AUX
fumecheng-8241	87	52	the	the	DET
fumecheng-8241	87	53	work	work	NOUN
fumecheng-8241	87	54	done	do	VERB
fumecheng-8241	87	55	by	by	ADP
fumecheng-8241	87	56	the	the	DET
fumecheng-8241	87	57	rotational	rotational	ADJ
fumecheng-8241	87	58	forces	force	NOUN
fumecheng-8241	87	59	(	(	PUNCT
fumecheng-8241	87	60	affecting	affect	VERB
fumecheng-8241	87	61	the	the	DET
fumecheng-8241	87	62	structure	structure	NOUN
fumecheng-8241	87	63	’s	’s	PART
fumecheng-8241	87	64	stiffness	stiffness	NOUN
fumecheng-8241	87	65	)	)	PUNCT
fumecheng-8241	87	66	.	.	PUNCT
fumecheng-8241	88	1	now	now	ADV
fumecheng-8241	88	2	by	by	ADP
fumecheng-8241	88	3	proper	proper	ADJ
fumecheng-8241	88	4	substitution	substitution	NOUN
fumecheng-8241	88	5	of	of	ADP
fumecheng-8241	88	6	t	t	PROPN
fumecheng-8241	88	7	,	,	PUNCT
fumecheng-8241	88	8	u	u	NOUN
fumecheng-8241	88	9	,	,	PUNCT
fumecheng-8241	88	10	and	and	CCONJ
fumecheng-8241	88	11	w	w	NOUN
fumecheng-8241	88	12	into	into	ADP
fumecheng-8241	88	13	lagrange	lagrange	PROPN
fumecheng-8241	88	14	’s	’s	PART
fumecheng-8241	88	15	equation	equation	NOUN
fumecheng-8241	88	16	,	,	PUNCT
fumecheng-8241	88	17	applying	apply	VERB
fumecheng-8241	88	18	the	the	DET
fumecheng-8241	88	19	calculus	calculus	NOUN
fumecheng-8241	88	20	of	of	ADP
fumecheng-8241	88	21	variation	variation	NOUN
fumecheng-8241	88	22	,	,	PUNCT
fumecheng-8241	88	23	the	the	DET
fumecheng-8241	88	24	system	system	NOUN
fumecheng-8241	88	25	of	of	ADP
fumecheng-8241	88	26	nonlinear	nonlinear	ADJ
fumecheng-8241	88	27	differential	differential	ADJ
fumecheng-8241	88	28	equations	equation	NOUN
fumecheng-8241	88	29	of	of	ADP
fumecheng-8241	88	30	motion	motion	NOUN
fumecheng-8241	88	31	is	be	AUX
fumecheng-8241	88	32	obtained	obtain	VERB
fumecheng-8241	88	33	as	as	ADP
fumecheng-8241	88	34	:	:	PUNCT
fumecheng-8241	88	35			PROPN
fumecheng-8241	88	36			PROPN
fumecheng-8241	88	37			PROPN
fumecheng-8241	88	38			PROPN
fumecheng-8241	88	39	2	2	NUM
fumecheng-8241	88	40	2	2	NUM
fumecheng-8241	88	41	2	2	NUM
fumecheng-8241	88	42	2	2	NUM
fumecheng-8241	88	43	2	2	NUM
fumecheng-8241	88	44	2	2	NUM
fumecheng-8241	88	45	2	2	NUM
fumecheng-8241	88	46	2	2	NUM
fumecheng-8241	88	47	2	2	NUM
fumecheng-8241	88	48	2	2	NUM
fumecheng-8241	88	49	1	1	NUM
fumecheng-8241	88	50	1	1	NUM
fumecheng-8241	88	51	(	(	PUNCT
fumecheng-8241	88	52	,	,	PUNCT
fumecheng-8241	88	53	)	)	PUNCT
fumecheng-8241	88	54	2	2	NUM
fumecheng-8241	88	55	2	2	NUM
fumecheng-8241	88	56	1	1	NUM
fumecheng-8241	88	57	1	1	NUM
fumecheng-8241	88	58	(	(	PUNCT
fumecheng-8241	88	59	,	,	PUNCT
fumecheng-8241	88	60	)	)	PUNCT
fumecheng-8241	88	61	2	2	NUM
fumecheng-8241	88	62	2	2	NUM
fumecheng-8241	88	63	zz	zz	NOUN
fumecheng-8241	89	1	y	y	NOUN
fumecheng-8241	89	2	yy	yy	INTJ
fumecheng-8241	89	3	z	z	PROPN
fumecheng-8241	89	4	ae	ae	PROPN
fumecheng-8241	89	5	x	x	PROPN
fumecheng-8241	90	1	a	a	PRON
fumecheng-8241	90	2	ei	ei	X
fumecheng-8241	90	3	w	w	NOUN
fumecheng-8241	90	4	a	a	DET
fumecheng-8241	90	5	l	l	NOUN
fumecheng-8241	90	6	f	f	X
fumecheng-8241	91	1	x	x	SYM
fumecheng-8241	91	2	t	t	NOUN
fumecheng-8241	91	3	l	l	NOUN
fumecheng-8241	91	4	ae	ae	PROPN
fumecheng-8241	91	5	x	x	INTJ
fumecheng-8241	91	6	aw	aw	INTJ
fumecheng-8241	91	7	ei	ei	INTJ
fumecheng-8241	92	1	w	w	PROPN
fumecheng-8241	92	2	w	w	PROPN
fumecheng-8241	92	3	w	w	PROPN
fumecheng-8241	92	4	a	a	PROPN
fumecheng-8241	92	5	l	l	NOUN
fumecheng-8241	92	6	w	w	NOUN
fumecheng-8241	92	7	f	f	PROPN
fumecheng-8241	92	8	x	x	X
fumecheng-8241	92	9	t	t	PROPN
fumecheng-8241	92	10	l	l	NOUN
fumecheng-8241	92	11			ADP
fumecheng-8241	92	12			PRON
fumecheng-8241	92	13			NOUN
fumecheng-8241	92	14			NUM
fumecheng-8241	92	15			NOUN
fumecheng-8241	92	16			ADP
fumecheng-8241	92	17			PROPN
fumecheng-8241	92	18			ADP
fumecheng-8241	92	19			PROPN
fumecheng-8241	92	20			ADP
fumecheng-8241	92	21			X
fumecheng-8241	92	22			PROPN
fumecheng-8241	92	23			PROPN
fumecheng-8241	92	24			VERB
fumecheng-8241	92	25			NOUN
fumecheng-8241	93	1			CCONJ
fumecheng-8241	93	2			ADJ
fumecheng-8241	93	3			ADJ
fumecheng-8241	93	4			PUNCT
fumecheng-8241	93	5			PROPN
fumecheng-8241	93	6			VERB
fumecheng-8241	93	7			PROPN
fumecheng-8241	93	8			PROPN
fumecheng-8241	93	9			PROPN
fumecheng-8241	93	10			PRON
fumecheng-8241	93	11			VERB
fumecheng-8241	93	12			X
fumecheng-8241	94	1			PROPN
fumecheng-8241	94	2			PROPN
fumecheng-8241	94	3			PROPN
fumecheng-8241	94	4			PROPN
fumecheng-8241	94	5			NOUN
fumecheng-8241	94	6			NOUN
fumecheng-8241	94	7			PROPN
fumecheng-8241	94	8			PROPN
fumecheng-8241	94	9			NOUN
fumecheng-8241	94	10			PROPN
fumecheng-8241	94	11			PROPN
fumecheng-8241	94	12			VERB
fumecheng-8241	94	13			NOUN
fumecheng-8241	95	1			CCONJ
fumecheng-8241	95	2			ADJ
fumecheng-8241	95	3			ADJ
fumecheng-8241	95	4			PUNCT
fumecheng-8241	95	5			PROPN
fumecheng-8241	95	6			VERB
fumecheng-8241	95	7			PROPN
fumecheng-8241	95	8			PROPN
fumecheng-8241	95	9			PROPN
fumecheng-8241	95	10			PRON
fumecheng-8241	95	11			VERB
fumecheng-8241	95	12			X
fumecheng-8241	96	1			PROPN
fumecheng-8241	96	2			PROPN
fumecheng-8241	96	3			PROPN
fumecheng-8241	96	4			PROPN
fumecheng-8241	96	5			NOUN
fumecheng-8241	96	6			NOUN
fumecheng-8241	96	7			PROPN
fumecheng-8241	96	8			PROPN
fumecheng-8241	96	9	(	(	PUNCT
fumecheng-8241	96	10	6	6	NUM
fumecheng-8241	96	11	)	)	PUNCT
fumecheng-8241	96	12	physically	physically	ADV
fumecheng-8241	96	13	,	,	PUNCT
fumecheng-8241	96	14	a	a	DET
fumecheng-8241	96	15	crack	crack	NOUN
fumecheng-8241	96	16	appears	appear	VERB
fumecheng-8241	96	17	as	as	ADP
fumecheng-8241	96	18	a	a	DET
fumecheng-8241	96	19	discontinuity	discontinuity	NOUN
fumecheng-8241	96	20	in	in	ADP
fumecheng-8241	96	21	geometry	geometry	NOUN
fumecheng-8241	96	22	and	and	CCONJ
fumecheng-8241	96	23	introduces	introduce	VERB
fumecheng-8241	96	24	considerable	considerable	ADJ
fumecheng-8241	96	25	local	local	ADJ
fumecheng-8241	96	26	flexibility	flexibility	NOUN
fumecheng-8241	96	27	.	.	PUNCT
fumecheng-8241	97	1	in	in	ADP
fumecheng-8241	97	2	vibration	vibration	NOUN
fumecheng-8241	97	3	problems	problem	NOUN
fumecheng-8241	97	4	,	,	PUNCT
fumecheng-8241	97	5	the	the	DET
fumecheng-8241	97	6	cracks	crack	NOUN
fumecheng-8241	97	7	can	can	AUX
fumecheng-8241	97	8	be	be	AUX
fumecheng-8241	97	9	approximated	approximate	VERB
fumecheng-8241	97	10	by	by	ADP
fumecheng-8241	97	11	a	a	DET
fumecheng-8241	97	12	torsion	torsion	NOUN
fumecheng-8241	97	13	spring	spring	NOUN
fumecheng-8241	98	1	[	[	X
fumecheng-8241	98	2	45	45	NUM
fumecheng-8241	98	3	]	]	PUNCT
fumecheng-8241	98	4	.	.	PUNCT
fumecheng-8241	98	5	suppose	suppose	VERB
fumecheng-8241	98	6	that	that	SCONJ
fumecheng-8241	98	7	the	the	DET
fumecheng-8241	98	8	crack	crack	NOUN
fumecheng-8241	98	9	only	only	ADV
fumecheng-8241	98	10	acts	act	VERB
fumecheng-8241	98	11	on	on	ADP
fumecheng-8241	98	12	the	the	DET
fumecheng-8241	98	13	z	z	NOUN
fumecheng-8241	98	14	-	-	NOUN
fumecheng-8241	98	15	direction	direction	NOUN
fumecheng-8241	98	16	.	.	PUNCT
fumecheng-8241	99	1	it	it	PRON
fumecheng-8241	99	2	can	can	AUX
fumecheng-8241	99	3	divide	divide	VERB
fumecheng-8241	99	4	the	the	DET
fumecheng-8241	99	5	continuous	continuous	ADJ
fumecheng-8241	99	6	structure	structure	NOUN
fumecheng-8241	99	7	into	into	ADP
fumecheng-8241	99	8	two	two	NUM
fumecheng-8241	99	9	zones	zone	NOUN
fumecheng-8241	99	10	.	.	PUNCT
fumecheng-8241	100	1	to	to	PART
fumecheng-8241	100	2	connect	connect	VERB
fumecheng-8241	100	3	these	these	DET
fumecheng-8241	100	4	zones	zone	NOUN
fumecheng-8241	100	5	,	,	PUNCT
fumecheng-8241	100	6	considering	consider	VERB
fumecheng-8241	100	7	vertical	vertical	ADJ
fumecheng-8241	100	8	displacement	displacement	NOUN
fumecheng-8241	100	9	,	,	PUNCT
fumecheng-8241	100	10	shear	shear	NOUN
fumecheng-8241	100	11	forces	force	NOUN
fumecheng-8241	100	12	,	,	PUNCT
fumecheng-8241	100	13	and	and	CCONJ
fumecheng-8241	100	14	bending	bend	VERB
fumecheng-8241	100	15	moments	moment	NOUN
fumecheng-8241	100	16	from	from	ADP
fumecheng-8241	100	17	equalities	equality	NOUN
fumecheng-8241	100	18	over	over	ADP
fumecheng-8241	100	19	both	both	DET
fumecheng-8241	100	20	sides	side	NOUN
fumecheng-8241	100	21	of	of	ADP
fumecheng-8241	100	22	the	the	DET
fumecheng-8241	100	23	crack	crack	NOUN
fumecheng-8241	100	24	,	,	PUNCT
fumecheng-8241	100	25	we	we	PRON
fumecheng-8241	100	26	have	have	VERB
fumecheng-8241	100	27	:	:	PUNCT
fumecheng-8241	100	28	1	1	NUM
fumecheng-8241	100	29	2	2	NUM
fumecheng-8241	100	30	1	1	NUM
fumecheng-8241	100	31	2	2	NUM
fumecheng-8241	100	32	2	2	NUM
fumecheng-8241	100	33	1	1	NUM
fumecheng-8241	100	34	1	1	NUM
fumecheng-8241	100	35	(	(	PUNCT
fumecheng-8241	100	36	)	)	PUNCT
fumecheng-8241	100	37	(	(	PUNCT
fumecheng-8241	100	38	)	)	PUNCT
fumecheng-8241	100	39	,	,	PUNCT
fumecheng-8241	100	40	(	(	PUNCT
fumecheng-8241	100	41	)	)	PUNCT
fumecheng-8241	100	42	(	(	PUNCT
fumecheng-8241	100	43	)	)	PUNCT
fumecheng-8241	100	44	,	,	PUNCT
fumecheng-8241	100	45	(	(	PUNCT
fumecheng-8241	100	46	)	)	PUNCT
fumecheng-8241	100	47	(	(	PUNCT
fumecheng-8241	100	48	)	)	PUNCT
fumecheng-8241	100	49	(	(	PUNCT
fumecheng-8241	100	50	)	)	PUNCT
fumecheng-8241	100	51	w	w	ADP
fumecheng-8241	100	52	a	a	DET
fumecheng-8241	100	53	w	w	NOUN
fumecheng-8241	100	54	a	a	DET
fumecheng-8241	100	55	w	w	NOUN
fumecheng-8241	100	56	a	a	DET
fumecheng-8241	100	57	w	w	NOUN
fumecheng-8241	100	58	a	a	DET
fumecheng-8241	100	59	w	w	NOUN
fumecheng-8241	100	60	a	a	DET
fumecheng-8241	100	61	w	w	NOUN
fumecheng-8241	100	62	a	a	DET
fumecheng-8241	100	63	kw	kw	NOUN
fumecheng-8241	100	64	a	a	PROPN
fumecheng-8241	100	65			NOUN
fumecheng-8241	101	1			PROPN
fumecheng-8241	101	2			PROPN
fumecheng-8241	101	3			NOUN
fumecheng-8241	102	1			NUM
fumecheng-8241	102	2			PROPN
fumecheng-8241	102	3			NUM
fumecheng-8241	102	4	(	(	PUNCT
fumecheng-8241	102	5	7	7	NUM
fumecheng-8241	102	6	)	)	PUNCT
fumecheng-8241	102	7	where	where	SCONJ
fumecheng-8241	102	8	k	k	PROPN
fumecheng-8241	102	9	and	and	CCONJ
fumecheng-8241	102	10	a	a	PRON
fumecheng-8241	102	11	are	be	AUX
fumecheng-8241	102	12	the	the	DET
fumecheng-8241	102	13	crack	crack	NOUN
fumecheng-8241	102	14	stiffness	stiffness	NOUN
fumecheng-8241	102	15	and	and	CCONJ
fumecheng-8241	102	16	location	location	NOUN
fumecheng-8241	102	17	measured	measure	VERB
fumecheng-8241	102	18	from	from	ADP
fumecheng-8241	102	19	the	the	DET
fumecheng-8241	102	20	roots	root	NOUN
fumecheng-8241	102	21	of	of	ADP
fumecheng-8241	102	22	the	the	DET
fumecheng-8241	102	23	beam	beam	NOUN
fumecheng-8241	102	24	,	,	PUNCT
fumecheng-8241	102	25	respectively	respectively	ADV
fumecheng-8241	102	26	.	.	PUNCT
fumecheng-8241	103	1	it	it	PRON
fumecheng-8241	103	2	is	be	AUX
fumecheng-8241	103	3	also	also	ADV
fumecheng-8241	103	4	necessary	necessary	ADJ
fumecheng-8241	103	5	to	to	PART
fumecheng-8241	103	6	add	add	VERB
fumecheng-8241	103	7	four	four	NUM
fumecheng-8241	103	8	boundary	boundary	ADJ
fumecheng-8241	103	9	conditions	condition	NOUN
fumecheng-8241	103	10	:	:	PUNCT
fumecheng-8241	103	11	1	1	NUM
fumecheng-8241	103	12	1	1	NUM
fumecheng-8241	103	13	1	1	NUM
fumecheng-8241	103	14	1	1	NUM
fumecheng-8241	103	15	1	1	NUM
fumecheng-8241	103	16	1	1	NUM
fumecheng-8241	103	17	1	1	NUM
fumecheng-8241	103	18	(	(	PUNCT
fumecheng-8241	103	19	0	0	NUM
fumecheng-8241	103	20	)	)	PUNCT
fumecheng-8241	103	21	(	(	PUNCT
fumecheng-8241	103	22	0	0	NUM
fumecheng-8241	103	23	)	)	PUNCT
fumecheng-8241	103	24	(	(	PUNCT
fumecheng-8241	103	25	)	)	PUNCT
fumecheng-8241	103	26	(	(	PUNCT
fumecheng-8241	103	27	)	)	PUNCT
fumecheng-8241	103	28	0	0	NUM
fumecheng-8241	104	1	(	(	PUNCT
fumecheng-8241	104	2	0	0	NUM
fumecheng-8241	104	3	)	)	PUNCT
fumecheng-8241	104	4	(	(	PUNCT
fumecheng-8241	104	5	0	0	NUM
fumecheng-8241	104	6	)	)	PUNCT
fumecheng-8241	104	7	(	(	PUNCT
fumecheng-8241	104	8	)	)	PUNCT
fumecheng-8241	104	9	(	(	PUNCT
fumecheng-8241	104	10	)	)	PUNCT
fumecheng-8241	104	11	0	0	PUNCT
fumecheng-8241	105	1	w	w	PROPN
fumecheng-8241	105	2	w	w	PROPN
fumecheng-8241	105	3	w	w	PROPN
fumecheng-8241	105	4	l	l	PROPN
fumecheng-8241	105	5	w	w	PROPN
fumecheng-8241	105	6	l	l	NOUN
fumecheng-8241	105	7	l	l	NOUN
fumecheng-8241	106	1	l	l	ADP
fumecheng-8241	106	2			PRON
fumecheng-8241	106	3			PRON
fumecheng-8241	106	4			PRON
fumecheng-8241	106	5			PROPN
fumecheng-8241	106	6			PROPN
fumecheng-8241	106	7			NOUN
fumecheng-8241	107	1			PROPN
fumecheng-8241	107	2			NUM
fumecheng-8241	107	3			PROPN
fumecheng-8241	107	4			PROPN
fumecheng-8241	107	5			PROPN
fumecheng-8241	107	6			NOUN
fumecheng-8241	107	7			PROPN
fumecheng-8241	107	8			NUM
fumecheng-8241	107	9			NOUN
fumecheng-8241	107	10	(	(	PUNCT
fumecheng-8241	107	11	8)	8)	NUM
fumecheng-8241	107	12	with	with	ADP
fumecheng-8241	107	13	:	:	PUNCT
fumecheng-8241	107	14	1	1	NUM
fumecheng-8241	107	15	1	1	NUM
fumecheng-8241	107	16	1	1	NUM
fumecheng-8241	107	17	1	1	NUM
fumecheng-8241	107	18	1	1	NUM
fumecheng-8241	107	19	2	2	NUM
fumecheng-8241	107	20	2	2	NUM
fumecheng-8241	107	21	2	2	NUM
fumecheng-8241	107	22	2	2	NUM
fumecheng-8241	107	23	2	2	NUM
fumecheng-8241	107	24	3	3	NUM
fumecheng-8241	107	25	3	3	NUM
fumecheng-8241	107	26	3	3	NUM
fumecheng-8241	107	27	3	3	NUM
fumecheng-8241	107	28	(	(	PUNCT
fumecheng-8241	107	29	)	)	PUNCT
fumecheng-8241	107	30	sinh	sinh	PROPN
fumecheng-8241	107	31	(	(	PUNCT
fumecheng-8241	107	32	)	)	PUNCT
fumecheng-8241	107	33	cosh	cosh	PROPN
fumecheng-8241	107	34	(	(	PUNCT
fumecheng-8241	107	35	)	)	PUNCT
fumecheng-8241	107	36	sin	sin	NOUN
fumecheng-8241	107	37	(	(	PUNCT
fumecheng-8241	107	38	)	)	PUNCT
fumecheng-8241	107	39	sin	sin	NOUN
fumecheng-8241	107	40	(	(	PUNCT
fumecheng-8241	107	41	)	)	PUNCT
fumecheng-8241	107	42	(	(	PUNCT
fumecheng-8241	107	43	)	)	PUNCT
fumecheng-8241	107	44	sinh	sinh	PROPN
fumecheng-8241	107	45	(	(	PUNCT
fumecheng-8241	107	46	)	)	PUNCT
fumecheng-8241	107	47	cosh	cosh	PROPN
fumecheng-8241	107	48	(	(	PUNCT
fumecheng-8241	107	49	)	)	PUNCT
fumecheng-8241	107	50	sin	sin	NOUN
fumecheng-8241	107	51	(	(	PUNCT
fumecheng-8241	107	52	)	)	PUNCT
fumecheng-8241	107	53	sin	sin	NOUN
fumecheng-8241	107	54	(	(	PUNCT
fumecheng-8241	107	55	)	)	PUNCT
fumecheng-8241	107	56	(	(	PUNCT
fumecheng-8241	107	57	)	)	PUNCT
fumecheng-8241	107	58	sinh	sinh	PROPN
fumecheng-8241	107	59	(	(	PUNCT
fumecheng-8241	107	60	)	)	PUNCT
fumecheng-8241	107	61	cosh	cosh	PROPN
fumecheng-8241	107	62	(	(	PUNCT
fumecheng-8241	107	63	)	)	PUNCT
fumecheng-8241	107	64	sin	sin	NOUN
fumecheng-8241	107	65	(	(	PUNCT
fumecheng-8241	107	66	)	)	PUNCT
fumecheng-8241	107	67	sin	sin	NOUN
fumecheng-8241	107	68	(	(	PUNCT
fumecheng-8241	107	69	)	)	PUNCT
fumecheng-8241	107	70	w	w	NOUN
fumecheng-8241	107	71	x	x	PUNCT
fumecheng-8241	107	72	a	a	PRON
fumecheng-8241	107	73	x	x	X
fumecheng-8241	107	74	b	b	NOUN
fumecheng-8241	107	75	x	x	NOUN
fumecheng-8241	107	76	c	c	NOUN
fumecheng-8241	107	77	x	x	SYM
fumecheng-8241	107	78	d	d	NOUN
fumecheng-8241	107	79	x	x	X
fumecheng-8241	107	80	w	w	NOUN
fumecheng-8241	107	81	x	x	DET
fumecheng-8241	107	82	a	a	PRON
fumecheng-8241	107	83	x	x	X
fumecheng-8241	107	84	b	b	NOUN
fumecheng-8241	107	85	x	x	NOUN
fumecheng-8241	107	86	c	c	NOUN
fumecheng-8241	107	87	x	x	SYM
fumecheng-8241	108	1	d	d	NOUN
fumecheng-8241	108	2	x	x	X
fumecheng-8241	108	3	v	v	NOUN
fumecheng-8241	108	4	x	x	SYM
fumecheng-8241	108	5	a	a	PRON
fumecheng-8241	108	6	x	x	X
fumecheng-8241	108	7	b	b	NOUN
fumecheng-8241	108	8	x	x	NOUN
fumecheng-8241	108	9	c	c	NOUN
fumecheng-8241	108	10	x	x	SYM
fumecheng-8241	109	1	d	d	NOUN
fumecheng-8241	109	2	x	x	X
fumecheng-8241	109	3			X
fumecheng-8241	109	4			ADJ
fumecheng-8241	109	5			ADJ
fumecheng-8241	109	6			ADJ
fumecheng-8241	109	7			ADJ
fumecheng-8241	109	8			ADJ
fumecheng-8241	109	9			ADJ
fumecheng-8241	109	10			ADJ
fumecheng-8241	109	11			ADJ
fumecheng-8241	109	12			ADJ
fumecheng-8241	109	13			ADJ
fumecheng-8241	109	14			X
fumecheng-8241	109	15			PROPN
fumecheng-8241	109	16			PROPN
fumecheng-8241	109	17			PUNCT
fumecheng-8241	109	18			PROPN
fumecheng-8241	109	19			PROPN
fumecheng-8241	109	20			PROPN
fumecheng-8241	109	21			PUNCT
fumecheng-8241	109	22			PUNCT
fumecheng-8241	109	23			PROPN
fumecheng-8241	109	24			ADP
fumecheng-8241	109	25			ADJ
fumecheng-8241	109	26			PROPN
fumecheng-8241	109	27			ADV
fumecheng-8241	109	28			PUNCT
fumecheng-8241	109	29			X
fumecheng-8241	109	30	(	(	PUNCT
fumecheng-8241	109	31	9	9	X
fumecheng-8241	109	32	)	)	PUNCT
fumecheng-8241	109	33	applying	apply	VERB
fumecheng-8241	109	34	b.c	b.c	NOUN
fumecheng-8241	109	35	for	for	ADP
fumecheng-8241	109	36	w(x	w(x	PROPN
fumecheng-8241	109	37	)	)	PUNCT
fumecheng-8241	109	38	and	and	CCONJ
fumecheng-8241	109	39	v(x	v(x	PROPN
fumecheng-8241	109	40	)	)	PUNCT
fumecheng-8241	109	41	,	,	PUNCT
fumecheng-8241	109	42	determining	determine	VERB
fumecheng-8241	109	43	unknown	unknown	ADJ
fumecheng-8241	109	44	coefficients	coefficient	NOUN
fumecheng-8241	109	45	ai	ai	VERB
fumecheng-8241	109	46	and	and	CCONJ
fumecheng-8241	109	47	bi	bi	NOUN
fumecheng-8241	109	48	in	in	ADP
fumecheng-8241	109	49	the	the	DET
fumecheng-8241	109	50	above	above	ADJ
fumecheng-8241	109	51	equation	equation	NOUN
fumecheng-8241	109	52	,	,	PUNCT
fumecheng-8241	109	53	one	one	PRON
fumecheng-8241	109	54	can	can	AUX
fumecheng-8241	109	55	remove	remove	VERB
fumecheng-8241	109	56	the	the	DET
fumecheng-8241	109	57	spatial	spatial	ADJ
fumecheng-8241	109	58	part	part	NOUN
fumecheng-8241	109	59	of	of	ADP
fumecheng-8241	109	60	the	the	DET
fumecheng-8241	109	61	equations	equation	NOUN
fumecheng-8241	109	62	using	use	VERB
fumecheng-8241	109	63	the	the	DET
fumecheng-8241	109	64	orthogonality	orthogonality	NOUN
fumecheng-8241	109	65	of	of	ADP
fumecheng-8241	109	66	the	the	DET
fumecheng-8241	109	67	linear	linear	PROPN
fumecheng-8241	109	68	modes	mode	NOUN
fumecheng-8241	109	69	.	.	PUNCT
fumecheng-8241	110	1	by	by	ADP
fumecheng-8241	110	2	applying	apply	VERB
fumecheng-8241	110	3	the	the	DET
fumecheng-8241	110	4	galerkin	galerkin	ADJ
fumecheng-8241	110	5	method	method	NOUN
fumecheng-8241	110	6	,	,	PUNCT
fumecheng-8241	110	7	the	the	DET
fumecheng-8241	110	8	nonlinear	nonlinear	ADJ
fumecheng-8241	110	9	system	system	NOUN
fumecheng-8241	110	10	of	of	ADP
fumecheng-8241	110	11	pde	pde	PROPN
fumecheng-8241	110	12	(	(	PUNCT
fumecheng-8241	110	13	nspde	nspde	NOUN
fumecheng-8241	110	14	)	)	PUNCT
fumecheng-8241	110	15	eq	eq	NOUN
fumecheng-8241	110	16	.	.	PUNCT
fumecheng-8241	111	1	(	(	PUNCT
fumecheng-8241	111	2	6	6	NUM
fumecheng-8241	111	3	)	)	PUNCT
fumecheng-8241	111	4	is	be	AUX
fumecheng-8241	111	5	converted	convert	VERB
fumecheng-8241	111	6	to	to	ADP
fumecheng-8241	111	7	nonlinear	nonlinear	ADJ
fumecheng-8241	111	8	node	node	NOUN
fumecheng-8241	111	9	as	as	ADP
fumecheng-8241	111	10	:	:	PUNCT
fumecheng-8241	111	11	6	6	NUM
fumecheng-8241	111	12	a.	a.	NOUN
fumecheng-8241	111	13	tavakoli	tavakoli	PROPN
fumecheng-8241	111	14	maleki	maleki	NOUN
fumecheng-8241	111	15	,	,	PUNCT
fumecheng-8241	111	16	m.	m.	NOUN
fumecheng-8241	111	17	azimi	azimi	PROPN
fumecheng-8241	111	18	,	,	PUNCT
fumecheng-8241	111	19	s.	s.	PROPN
fumecheng-8241	111	20	moradi	moradi	VERB
fumecheng-8241	111	21	3	3	NUM
fumecheng-8241	111	22	(	(	PUNCT
fumecheng-8241	111	23	)	)	PUNCT
fumecheng-8241	111	24	(	(	PUNCT
fumecheng-8241	111	25	0	0	NUM
fumecheng-8241	111	26	)	)	PUNCT
fumecheng-8241	111	27	,	,	PUNCT
fumecheng-8241	111	28	(	(	PUNCT
fumecheng-8241	111	29	0	0	NUM
fumecheng-8241	111	30	)	)	PUNCT
fumecheng-8241	111	31	0	0	NUM
fumecheng-8241	112	1	mt	mt	PROPN
fumecheng-8241	113	1	ct	ct	INTJ
fumecheng-8241	113	2	gt	gt	PROPN
fumecheng-8241	113	3	kt	kt	PROPN
fumecheng-8241	113	4	f	f	PROPN
fumecheng-8241	113	5	t	t	PROPN
fumecheng-8241	113	6	t	t	PROPN
fumecheng-8241	113	7	a	a	DET
fumecheng-8241	113	8	t	t	PROPN
fumecheng-8241	113	9			ADV
fumecheng-8241	113	10			PUNCT
fumecheng-8241	113	11			PUNCT
fumecheng-8241	114	1			PROPN
fumecheng-8241	115	1			NUM
fumecheng-8241	115	2			NOUN
fumecheng-8241	115	3	(	(	PUNCT
fumecheng-8241	115	4	10	10	NUM
fumecheng-8241	115	5	)	)	PUNCT
fumecheng-8241	115	6	with	with	ADP
fumecheng-8241	115	7	:	:	PUNCT
fumecheng-8241	115	8	2	2	NUM
fumecheng-8241	115	9	4	4	NUM
fumecheng-8241	115	10	2	2	NUM
fumecheng-8241	115	11	0	0	NUM
fumecheng-8241	115	12	0	0	NUM
fumecheng-8241	115	13	2	2	NUM
fumecheng-8241	115	14	2	2	NUM
fumecheng-8241	115	15	4	4	NUM
fumecheng-8241	115	16	2	2	NUM
fumecheng-8241	115	17	1	1	NUM
fumecheng-8241	115	18	2	2	NUM
fumecheng-8241	115	19	0	0	NUM
fumecheng-8241	115	20	0	0	NUM
fumecheng-8241	115	21	(	(	PUNCT
fumecheng-8241	115	22	)	)	PUNCT
fumecheng-8241	115	23	(	(	PUNCT
fumecheng-8241	115	24	)	)	PUNCT
fumecheng-8241	115	25	(	(	PUNCT
fumecheng-8241	115	26	)	)	PUNCT
fumecheng-8241	115	27	(	(	PUNCT
fumecheng-8241	115	28	)	)	PUNCT
fumecheng-8241	115	29	(	(	PUNCT
fumecheng-8241	115	30	)	)	PUNCT
fumecheng-8241	115	31	l	l	NOUN
fumecheng-8241	115	32	l	l	NOUN
fumecheng-8241	115	33	a	a	DET
fumecheng-8241	115	34	l	l	NOUN
fumecheng-8241	115	35	l	l	NOUN
fumecheng-8241	115	36	a	a	X
fumecheng-8241	115	37	m	m	NOUN
fumecheng-8241	115	38	a	a	DET
fumecheng-8241	115	39	w	w	NOUN
fumecheng-8241	115	40	x	x	X
fumecheng-8241	115	41	dx	dx	PROPN
fumecheng-8241	115	42	v	v	INTJ
fumecheng-8241	115	43	x	x	PROPN
fumecheng-8241	115	44	d	d	NOUN
fumecheng-8241	115	45	a	a	DET
fumecheng-8241	115	46	w	w	X
fumecheng-8241	115	47	x	x	X
fumecheng-8241	115	48	dx	dx	PROPN
fumecheng-8241	115	49	w	w	PROPN
fumecheng-8241	115	50	x	x	PROPN
fumecheng-8241	115	51	dx	dx	PROPN
fumecheng-8241	115	52	v	v	INTJ
fumecheng-8241	115	53	x	x	PROPN
fumecheng-8241	115	54	dx	dx	PROPN
fumecheng-8241	115	55			ADP
fumecheng-8241	115	56			PROPN
fumecheng-8241	115	57			PROPN
fumecheng-8241	115	58			ADP
fumecheng-8241	115	59			X
fumecheng-8241	115	60			NOUN
fumecheng-8241	115	61			ADP
fumecheng-8241	115	62			PROPN
fumecheng-8241	115	63			NOUN
fumecheng-8241	116	1			NOUN
fumecheng-8241	116	2			PROPN
fumecheng-8241	116	3			PROPN
fumecheng-8241	116	4			ADP
fumecheng-8241	116	5			NOUN
fumecheng-8241	116	6			NOUN
fumecheng-8241	116	7			NUM
fumecheng-8241	116	8			PROPN
fumecheng-8241	116	9			PUNCT
fumecheng-8241	116	10			VERB
fumecheng-8241	116	11			NOUN
fumecheng-8241	116	12			PROPN
fumecheng-8241	116	13			NUM
fumecheng-8241	116	14			PROPN
fumecheng-8241	116	15			PROPN
fumecheng-8241	116	16			PROPN
fumecheng-8241	116	17			ADP
fumecheng-8241	116	18			X
fumecheng-8241	116	19			X
fumecheng-8241	116	20			X
fumecheng-8241	116	21			PUNCT
fumecheng-8241	116	22	(	(	PUNCT
fumecheng-8241	116	23	11	11	NUM
fumecheng-8241	116	24	)	)	PUNCT
fumecheng-8241	116	25			NOUN
fumecheng-8241	116	26			NOUN
fumecheng-8241	117	1			PUNCT
fumecheng-8241	117	2			PROPN
fumecheng-8241	117	3			NOUN
fumecheng-8241	118	1			PUNCT
fumecheng-8241	118	2			PROPN
fumecheng-8241	118	3			NOUN
fumecheng-8241	119	1			PUNCT
fumecheng-8241	119	2			PROPN
fumecheng-8241	119	3			NOUN
fumecheng-8241	120	1			PUNCT
fumecheng-8241	120	2			PROPN
fumecheng-8241	120	3			NOUN
fumecheng-8241	121	1			PROPN
fumecheng-8241	121	2	2	2	NUM
fumecheng-8241	121	3	2	2	NUM
fumecheng-8241	121	4	2	2	NUM
fumecheng-8241	121	5	2	2	NUM
fumecheng-8241	121	6	0	0	NUM
fumecheng-8241	121	7	0	0	NUM
fumecheng-8241	121	8	2	2	NUM
fumecheng-8241	121	9	2	2	NUM
fumecheng-8241	121	10	2	2	NUM
fumecheng-8241	121	11	2	2	NUM
fumecheng-8241	121	12	2	2	NUM
fumecheng-8241	121	13	2	2	NUM
fumecheng-8241	121	14	1	1	NUM
fumecheng-8241	121	15	1	1	NUM
fumecheng-8241	121	16	1	1	NUM
fumecheng-8241	121	17	2	2	NUM
fumecheng-8241	121	18	2	2	NUM
fumecheng-8241	121	19	2	2	NUM
fumecheng-8241	121	20	0	0	NUM
fumecheng-8241	121	21	0	0	NUM
fumecheng-8241	121	22	2	2	NUM
fumecheng-8241	121	23	2	2	NUM
fumecheng-8241	121	24	l	l	NOUN
fumecheng-8241	121	25	l	l	NOUN
fumecheng-8241	121	26	a	a	DET
fumecheng-8241	121	27	l	l	NOUN
fumecheng-8241	121	28	l	l	NOUN
fumecheng-8241	122	1	a	a	PRON
fumecheng-8241	122	2	ae	ae	PROPN
fumecheng-8241	122	3	g	g	PROPN
fumecheng-8241	122	4	w	w	PROPN
fumecheng-8241	122	5	v	v	PROPN
fumecheng-8241	122	6	w	w	PROPN
fumecheng-8241	122	7	w	w	PROPN
fumecheng-8241	122	8	dx	dx	PROPN
fumecheng-8241	122	9	v	v	ADP
fumecheng-8241	122	10	v	v	PROPN
fumecheng-8241	122	11	w	w	PROPN
fumecheng-8241	122	12	v	v	ADP
fumecheng-8241	122	13	dx	dx	PROPN
fumecheng-8241	122	14	ae	ae	PROPN
fumecheng-8241	122	15	w	w	PROPN
fumecheng-8241	122	16	v	v	PROPN
fumecheng-8241	122	17	w	w	PROPN
fumecheng-8241	122	18	w	w	PROPN
fumecheng-8241	122	19	dx	dx	PROPN
fumecheng-8241	122	20	w	w	PROPN
fumecheng-8241	122	21	v	v	PROPN
fumecheng-8241	122	22	w	w	PROPN
fumecheng-8241	122	23	w	w	PROPN
fumecheng-8241	122	24	dx	dx	PROPN
fumecheng-8241	122	25	v	v	ADP
fumecheng-8241	122	26	v	v	PROPN
fumecheng-8241	122	27	w	w	PROPN
fumecheng-8241	122	28	v	v	ADP
fumecheng-8241	122	29	dx	dx	PROPN
fumecheng-8241	122	30			ADP
fumecheng-8241	122	31			PROPN
fumecheng-8241	123	1			ADV
fumecheng-8241	123	2			ADV
fumecheng-8241	123	3			ADV
fumecheng-8241	124	1			ADV
fumecheng-8241	124	2			ADV
fumecheng-8241	124	3			ADV
fumecheng-8241	124	4			PROPN
fumecheng-8241	125	1			ADV
fumecheng-8241	125	2			VERB
fumecheng-8241	125	3			PUNCT
fumecheng-8241	125	4			NOUN
fumecheng-8241	125	5			PROPN
fumecheng-8241	125	6			PROPN
fumecheng-8241	125	7			X
fumecheng-8241	126	1			NOUN
fumecheng-8241	126	2			CCONJ
fumecheng-8241	127	1			ADV
fumecheng-8241	127	2			ADV
fumecheng-8241	127	3			ADV
fumecheng-8241	128	1			ADV
fumecheng-8241	129	1			ADV
fumecheng-8241	130	1			ADV
fumecheng-8241	131	1			ADV
fumecheng-8241	132	1			ADV
fumecheng-8241	133	1			ADV
fumecheng-8241	133	2			PROPN
fumecheng-8241	133	3			ADV
fumecheng-8241	133	4			VERB
fumecheng-8241	133	5			PUNCT
fumecheng-8241	133	6			VERB
fumecheng-8241	133	7			VERB
fumecheng-8241	133	8			NOUN
fumecheng-8241	133	9			PROPN
fumecheng-8241	133	10			PROPN
fumecheng-8241	133	11			X
fumecheng-8241	133	12			X
fumecheng-8241	133	13			X
fumecheng-8241	133	14			X
fumecheng-8241	133	15			PUNCT
fumecheng-8241	133	16	(	(	PUNCT
fumecheng-8241	133	17	12	12	NUM
fumecheng-8241	133	18	)	)	SYM
fumecheng-8241	133	19	2	2	NUM
fumecheng-8241	133	20	2	2	NUM
fumecheng-8241	133	21	4	4	NUM
fumecheng-8241	133	22	2	2	NUM
fumecheng-8241	133	23	4	4	NUM
fumecheng-8241	133	24	2	2	NUM
fumecheng-8241	133	25	2	2	NUM
fumecheng-8241	133	26	2	2	NUM
fumecheng-8241	133	27	0	0	NUM
fumecheng-8241	133	28	0	0	NUM
fumecheng-8241	133	29	0	0	NUM
fumecheng-8241	133	30	0	0	NUM
fumecheng-8241	133	31	2	2	NUM
fumecheng-8241	133	32	4	4	NUM
fumecheng-8241	133	33	2	2	NUM
fumecheng-8241	133	34	2	2	NUM
fumecheng-8241	133	35	4	4	NUM
fumecheng-8241	133	36	2	2	NUM
fumecheng-8241	133	37	2	2	NUM
fumecheng-8241	133	38	2	2	NUM
fumecheng-8241	133	39	1	1	NUM
fumecheng-8241	133	40	2	2	NUM
fumecheng-8241	133	41	1	1	NUM
fumecheng-8241	133	42	1	1	NUM
fumecheng-8241	133	43	0	0	NUM
fumecheng-8241	133	44	0	0	NUM
fumecheng-8241	133	45	0	0	NUM
fumecheng-8241	133	46	1	1	NUM
fumecheng-8241	133	47	1	1	NUM
fumecheng-8241	133	48	1	1	NUM
fumecheng-8241	133	49	2	2	NUM
fumecheng-8241	133	50	1	1	NUM
fumecheng-8241	133	51	1	1	NUM
fumecheng-8241	133	52	2	2	NUM
fumecheng-8241	133	53	l	l	NOUN
fumecheng-8241	133	54	l	l	NOUN
fumecheng-8241	133	55	l	l	NOUN
fumecheng-8241	133	56	l	l	NOUN
fumecheng-8241	133	57	a	a	DET
fumecheng-8241	133	58	l	l	NOUN
fumecheng-8241	133	59	l	l	NOUN
fumecheng-8241	133	60	a	a	DET
fumecheng-8241	133	61	a	a	DET
fumecheng-8241	133	62	x	x	X
fumecheng-8241	133	63	x	x	SYM
fumecheng-8241	133	64	k	k	PROPN
fumecheng-8241	133	65	ei	ei	PROPN
fumecheng-8241	133	66	w	w	PROPN
fumecheng-8241	133	67	dx	dx	PROPN
fumecheng-8241	133	68	v	v	ADP
fumecheng-8241	133	69	dx	dx	PROPN
fumecheng-8241	133	70	a	a	DET
fumecheng-8241	133	71	l	l	PROPN
fumecheng-8241	133	72	w	w	PROPN
fumecheng-8241	134	1	w	w	PROPN
fumecheng-8241	134	2	dx	dx	PROPN
fumecheng-8241	134	3	v	v	PROPN
fumecheng-8241	134	4	v	v	ADP
fumecheng-8241	134	5	dx	dx	PROPN
fumecheng-8241	134	6	l	l	NOUN
fumecheng-8241	134	7	l	l	NOUN
fumecheng-8241	134	8	x	x	PUNCT
fumecheng-8241	135	1	ei	ei	X
fumecheng-8241	135	2	w	w	PROPN
fumecheng-8241	135	3	dx	dx	PROPN
fumecheng-8241	135	4	w	w	PROPN
fumecheng-8241	135	5	dx	dx	PROPN
fumecheng-8241	135	6	v	v	ADP
fumecheng-8241	135	7	dx	dx	PROPN
fumecheng-8241	135	8	a	a	DET
fumecheng-8241	135	9	l	l	PROPN
fumecheng-8241	135	10	w	w	PROPN
fumecheng-8241	135	11	w	w	PROPN
fumecheng-8241	135	12	dx	dx	PROPN
fumecheng-8241	135	13	l	l	PROPN
fumecheng-8241	135	14	w	w	PROPN
fumecheng-8241	135	15			X
fumecheng-8241	135	16			ADJ
fumecheng-8241	135	17			ADP
fumecheng-8241	135	18			X
fumecheng-8241	135	19			ADJ
fumecheng-8241	135	20			X
fumecheng-8241	135	21			ADP
fumecheng-8241	135	22			VERB
fumecheng-8241	135	23			PROPN
fumecheng-8241	135	24			PROPN
fumecheng-8241	135	25			NOUN
fumecheng-8241	135	26			PROPN
fumecheng-8241	135	27			PROPN
fumecheng-8241	135	28			NUM
fumecheng-8241	135	29			NUM
fumecheng-8241	135	30			PROPN
fumecheng-8241	135	31			NOUN
fumecheng-8241	135	32			PROPN
fumecheng-8241	136	1			ADJ
fumecheng-8241	136	2			PROPN
fumecheng-8241	136	3			PUNCT
fumecheng-8241	136	4			PROPN
fumecheng-8241	136	5			PROPN
fumecheng-8241	136	6			PROPN
fumecheng-8241	136	7			CCONJ
fumecheng-8241	136	8			PROPN
fumecheng-8241	136	9			PROPN
fumecheng-8241	137	1			PROPN
fumecheng-8241	137	2			NOUN
fumecheng-8241	137	3			PROPN
fumecheng-8241	138	1			NUM
fumecheng-8241	138	2			NOUN
fumecheng-8241	139	1			PROPN
fumecheng-8241	139	2			PROPN
fumecheng-8241	139	3			NOUN
fumecheng-8241	140	1			PROPN
fumecheng-8241	140	2			PROPN
fumecheng-8241	140	3			PROPN
fumecheng-8241	140	4			NOUN
fumecheng-8241	140	5			PROPN
fumecheng-8241	140	6			NOUN
fumecheng-8241	140	7			PROPN
fumecheng-8241	140	8			NUM
fumecheng-8241	140	9			NOUN
fumecheng-8241	140	10			NOUN
fumecheng-8241	140	11			PROPN
fumecheng-8241	140	12			NOUN
fumecheng-8241	140	13			NOUN
fumecheng-8241	140	14			NOUN
fumecheng-8241	140	15			ADP
fumecheng-8241	140	16			NOUN
fumecheng-8241	140	17			PROPN
fumecheng-8241	140	18			PROPN
fumecheng-8241	140	19			VERB
fumecheng-8241	140	20			NUM
fumecheng-8241	140	21			NUM
fumecheng-8241	140	22			NOUN
fumecheng-8241	140	23			NOUN
fumecheng-8241	140	24			ADJ
fumecheng-8241	141	1			PROPN
fumecheng-8241	141	2			ADV
fumecheng-8241	141	3			PUNCT
fumecheng-8241	141	4			PROPN
fumecheng-8241	141	5			PROPN
fumecheng-8241	141	6			NOUN
fumecheng-8241	141	7			NOUN
fumecheng-8241	141	8			NUM
fumecheng-8241	141	9			PROPN
fumecheng-8241	141	10			NUM
fumecheng-8241	141	11			PROPN
fumecheng-8241	142	1			NOUN
fumecheng-8241	142	2			ADJ
fumecheng-8241	142	3			VERB
fumecheng-8241	142	4			NOUN
fumecheng-8241	142	5			NOUN
fumecheng-8241	142	6			NOUN
fumecheng-8241	142	7			PROPN
fumecheng-8241	142	8			PROPN
fumecheng-8241	142	9			PROPN
fumecheng-8241	142	10			PROPN
fumecheng-8241	142	11			PUNCT
fumecheng-8241	142	12			PUNCT
fumecheng-8241	142	13			X
fumecheng-8241	142	14			X
fumecheng-8241	143	1			X
fumecheng-8241	143	2			X
fumecheng-8241	144	1			NOUN
fumecheng-8241	144	2			NOUN
fumecheng-8241	145	1			SYM
fumecheng-8241	145	2	2	2	NUM
fumecheng-8241	145	3	2	2	NUM
fumecheng-8241	145	4	2	2	NUM
fumecheng-8241	145	5	2	2	NUM
fumecheng-8241	145	6	0	0	NUM
fumecheng-8241	145	7	1	1	NUM
fumecheng-8241	145	8	1	1	NUM
fumecheng-8241	145	9	l	l	NOUN
fumecheng-8241	145	10	l	l	NOUN
fumecheng-8241	145	11	a	a	X
fumecheng-8241	145	12	x	x	X
fumecheng-8241	145	13	x	x	SYM
fumecheng-8241	145	14	w	w	PROPN
fumecheng-8241	145	15	dx	dx	PROPN
fumecheng-8241	145	16	v	v	PROPN
fumecheng-8241	145	17	v	v	ADP
fumecheng-8241	145	18	dx	dx	PROPN
fumecheng-8241	145	19	l	l	PROPN
fumecheng-8241	145	20	l	l	NOUN
fumecheng-8241	146	1			NOUN
fumecheng-8241	146	2			NOUN
fumecheng-8241	146	3			PROPN
fumecheng-8241	146	4			NOUN
fumecheng-8241	146	5			NOUN
fumecheng-8241	146	6			NUM
fumecheng-8241	146	7			PROPN
fumecheng-8241	146	8			NOUN
fumecheng-8241	146	9			PROPN
fumecheng-8241	146	10			PROPN
fumecheng-8241	146	11			ADV
fumecheng-8241	146	12			PROPN
fumecheng-8241	146	13			PROPN
fumecheng-8241	147	1			PROPN
fumecheng-8241	147	2			CCONJ
fumecheng-8241	147	3			PROPN
fumecheng-8241	148	1			PROPN
fumecheng-8241	148	2			PROPN
fumecheng-8241	148	3			NOUN
fumecheng-8241	149	1			PROPN
fumecheng-8241	149	2			PROPN
fumecheng-8241	149	3			VERB
fumecheng-8241	149	4			NOUN
fumecheng-8241	149	5			PROPN
fumecheng-8241	149	6			NOUN
fumecheng-8241	149	7			NOUN
fumecheng-8241	149	8			NOUN
fumecheng-8241	149	9			PROPN
fumecheng-8241	149	10			NOUN
fumecheng-8241	149	11			NUM
fumecheng-8241	149	12			X
fumecheng-8241	149	13			X
fumecheng-8241	149	14	(	(	PUNCT
fumecheng-8241	149	15	13	13	NUM
fumecheng-8241	149	16	)	)	PUNCT
fumecheng-8241	149	17			NOUN
fumecheng-8241	149	18			PUNCT
fumecheng-8241	149	19	1	1	NUM
fumecheng-8241	149	20	2	2	NUM
fumecheng-8241	149	21	0	0	NUM
fumecheng-8241	149	22	0	0	NUM
fumecheng-8241	149	23	0	0	NUM
fumecheng-8241	149	24	(	(	PUNCT
fumecheng-8241	149	25	)	)	PUNCT
fumecheng-8241	149	26	l	l	NOUN
fumecheng-8241	149	27	a	a	DET
fumecheng-8241	149	28	l	l	NOUN
fumecheng-8241	149	29	l	l	NOUN
fumecheng-8241	149	30	z	z	NOUN
fumecheng-8241	149	31	y	y	PROPN
fumecheng-8241	149	32	z	z	PROPN
fumecheng-8241	149	33	z	z	VERB
fumecheng-8241	150	1	y	y	PROPN
fumecheng-8241	150	2	a	a	DET
fumecheng-8241	150	3	f	f	PROPN
fumecheng-8241	150	4	t	t	PROPN
fumecheng-8241	150	5	wf	wf	PROPN
fumecheng-8241	150	6	vf	vf	PROPN
fumecheng-8241	150	7	dx	dx	PROPN
fumecheng-8241	150	8	w	w	PROPN
fumecheng-8241	150	9	f	f	PROPN
fumecheng-8241	150	10	dx	dx	PROPN
fumecheng-8241	150	11	w	w	PROPN
fumecheng-8241	150	12	f	f	PROPN
fumecheng-8241	150	13	dx	dx	PROPN
fumecheng-8241	150	14	vf	vf	PROPN
fumecheng-8241	150	15	dx	dx	PROPN
fumecheng-8241	150	16			ADV
fumecheng-8241	150	17			NUM
fumecheng-8241	150	18			X
fumecheng-8241	150	19			NUM
fumecheng-8241	150	20			NOUN
fumecheng-8241	150	21			X
fumecheng-8241	150	22			PUNCT
fumecheng-8241	150	23	(	(	PUNCT
fumecheng-8241	150	24	14	14	NUM
fumecheng-8241	150	25	)	)	PUNCT
fumecheng-8241	150	26	and	and	CCONJ
fumecheng-8241	150	27	c=	c=	VERB
fumecheng-8241	150	28	αm+βk	αm+βk	PROPN
fumecheng-8241	150	29	as	as	ADP
fumecheng-8241	150	30	a	a	DET
fumecheng-8241	150	31	rayleigh	rayleigh	NOUN
fumecheng-8241	150	32	damping	damp	VERB
fumecheng-8241	150	33	coefficient	coefficient	NOUN
fumecheng-8241	150	34	with	with	ADP
fumecheng-8241	150	35	positive	positive	ADJ
fumecheng-8241	150	36	constants	constant	NOUN
fumecheng-8241	150	37	α	α	NOUN
fumecheng-8241	150	38	and	and	CCONJ
fumecheng-8241	150	39	β	β	X
fumecheng-8241	150	40	.	.	PUNCT
fumecheng-8241	151	1	it	it	PRON
fumecheng-8241	151	2	is	be	AUX
fumecheng-8241	151	3	noteworthy	noteworthy	ADJ
fumecheng-8241	151	4	that	that	SCONJ
fumecheng-8241	151	5	the	the	DET
fumecheng-8241	151	6	integral	integral	ADJ
fumecheng-8241	151	7	limits	limit	NOUN
fumecheng-8241	151	8	defined	define	VERB
fumecheng-8241	151	9	in	in	ADP
fumecheng-8241	151	10	m	m	PROPN
fumecheng-8241	151	11	,	,	PUNCT
fumecheng-8241	151	12	g	g	PROPN
fumecheng-8241	151	13	,	,	PUNCT
fumecheng-8241	151	14	k	k	NOUN
fumecheng-8241	151	15	,	,	PUNCT
fumecheng-8241	151	16	and	and	CCONJ
fumecheng-8241	151	17	f	f	X
fumecheng-8241	151	18	,	,	PUNCT
fumecheng-8241	151	19	as	as	ADV
fumecheng-8241	151	20	well	well	ADV
fumecheng-8241	151	21	as	as	ADP
fumecheng-8241	151	22	eq	eq	ADJ
fumecheng-8241	151	23	.	.	PUNCT
fumecheng-8241	152	1	(	(	PUNCT
fumecheng-8241	152	2	7	7	NUM
fumecheng-8241	152	3	)	)	PUNCT
fumecheng-8241	152	4	,	,	PUNCT
fumecheng-8241	152	5	introduce	introduce	VERB
fumecheng-8241	152	6	the	the	DET
fumecheng-8241	152	7	beam	beam	NOUN
fumecheng-8241	152	8	as	as	ADP
fumecheng-8241	152	9	a	a	DET
fumecheng-8241	152	10	two	two	NUM
fumecheng-8241	152	11	-	-	PUNCT
fumecheng-8241	152	12	part	part	NOUN
fumecheng-8241	152	13	structure	structure	NOUN
fumecheng-8241	152	14	separated	separate	VERB
fumecheng-8241	152	15	by	by	ADP
fumecheng-8241	152	16	a	a	DET
fumecheng-8241	152	17	crack	crack	NOUN
fumecheng-8241	152	18	.	.	PUNCT
fumecheng-8241	153	1	3	3	X
fumecheng-8241	153	2	.	.	X
fumecheng-8241	153	3	homotopy	homotopy	NOUN
fumecheng-8241	153	4	perturbation	perturbation	NOUN
fumecheng-8241	153	5	solution	solution	NOUN
fumecheng-8241	153	6	(	(	PUNCT
fumecheng-8241	153	7	high	high	ADJ
fumecheng-8241	153	8	order	order	NOUN
fumecheng-8241	153	9	deformation	deformation	NOUN
fumecheng-8241	153	10	)	)	PUNCT
fumecheng-8241	153	11	in	in	ADP
fumecheng-8241	153	12	this	this	DET
fumecheng-8241	153	13	section	section	NOUN
fumecheng-8241	153	14	,	,	PUNCT
fumecheng-8241	153	15	we	we	PRON
fumecheng-8241	153	16	discuss	discuss	VERB
fumecheng-8241	153	17	the	the	DET
fumecheng-8241	153	18	idea	idea	NOUN
fumecheng-8241	153	19	of	of	ADP
fumecheng-8241	153	20	hpm	hpm	NOUN
fumecheng-8241	153	21	to	to	PART
fumecheng-8241	153	22	solve	solve	VERB
fumecheng-8241	153	23	eq	eq	ADP
fumecheng-8241	153	24	.	.	PUNCT
fumecheng-8241	154	1	(	(	PUNCT
fumecheng-8241	154	2	10	10	NUM
fumecheng-8241	154	3	)	)	PUNCT
fumecheng-8241	154	4	.	.	PUNCT
fumecheng-8241	155	1	now	now	ADV
fumecheng-8241	155	2	,	,	PUNCT
fumecheng-8241	155	3	let	let	VERB
fumecheng-8241	155	4	:	:	PUNCT
fumecheng-8241	155	5	(	(	PUNCT
fumecheng-8241	155	6	)	)	PUNCT
fumecheng-8241	155	7	(	(	PUNCT
fumecheng-8241	155	8	)	)	PUNCT
fumecheng-8241	155	9	,	,	PUNCT
fumecheng-8241	155	10	t	t	PROPN
fumecheng-8241	155	11	t	t	PROPN
fumecheng-8241	155	12	u	u	NOUN
fumecheng-8241	155	13	t	t	PROPN
fumecheng-8241	155	14			NOUN
fumecheng-8241	155	15			PUNCT
fumecheng-8241	155	16			NUM
fumecheng-8241	155	17	(	(	PUNCT
fumecheng-8241	155	18	15	15	NUM
fumecheng-8241	155	19	)	)	PUNCT
fumecheng-8241	155	20	substituting	substitute	VERB
fumecheng-8241	155	21	eq	eq	PROPN
fumecheng-8241	155	22	.	.	PUNCT
fumecheng-8241	156	1	(	(	PUNCT
fumecheng-8241	156	2	15	15	NUM
fumecheng-8241	156	3	)	)	PUNCT
fumecheng-8241	156	4	into	into	ADP
fumecheng-8241	156	5	the	the	DET
fumecheng-8241	156	6	homogenous	homogenous	ADJ
fumecheng-8241	156	7	un	un	ADJ
fumecheng-8241	156	8	-	-	ADJ
fumecheng-8241	156	9	damped	damped	ADJ
fumecheng-8241	156	10	form	form	NOUN
fumecheng-8241	156	11	of	of	ADP
fumecheng-8241	156	12	eq	eq	PROPN
fumecheng-8241	156	13	.	.	PUNCT
fumecheng-8241	157	1	(	(	PUNCT
fumecheng-8241	157	2	10	10	NUM
fumecheng-8241	157	3	)	)	PUNCT
fumecheng-8241	157	4	and	and	CCONJ
fumecheng-8241	157	5	defining	define	VERB
fumecheng-8241	157	6	/k	/k	PUNCT
fumecheng-8241	157	7	m	m	NOUN
fumecheng-8241	157	8	,	,	PUNCT
fumecheng-8241	157	9	/g	/g	PUNCT
fumecheng-8241	157	10	m	m	NOUN
fumecheng-8241	157	11	,	,	PUNCT
fumecheng-8241	157	12	and	and	CCONJ
fumecheng-8241	157	13	/f	/f	PUNCT
fumecheng-8241	157	14	m	m	NOUN
fumecheng-8241	157	15	yields	yield	VERB
fumecheng-8241	157	16	:	:	PUNCT
fumecheng-8241	157	17	2	2	NUM
fumecheng-8241	157	18	3	3	NUM
fumecheng-8241	157	19	*	*	SYM
fumecheng-8241	157	20	0	0	PUNCT
fumecheng-8241	157	21	(	(	PUNCT
fumecheng-8241	157	22	0	0	NUM
fumecheng-8241	157	23	)	)	PUNCT
fumecheng-8241	157	24	,	,	PUNCT
fumecheng-8241	157	25	(	(	PUNCT
fumecheng-8241	157	26	0	0	NUM
fumecheng-8241	157	27	)	)	PUNCT
fumecheng-8241	157	28	0	0	NUM
fumecheng-8241	158	1	u	u	NOUN
fumecheng-8241	158	2	u	u	NOUN
fumecheng-8241	158	3	u	u	X
fumecheng-8241	158	4	u	u	X
fumecheng-8241	158	5	u	u	X
fumecheng-8241	158	6	u	u	NOUN
fumecheng-8241	158	7			PROPN
fumecheng-8241	158	8			ADV
fumecheng-8241	158	9			PUNCT
fumecheng-8241	159	1			PROPN
fumecheng-8241	160	1			NUM
fumecheng-8241	160	2			NOUN
fumecheng-8241	160	3	(	(	PUNCT
fumecheng-8241	160	4	16	16	NUM
fumecheng-8241	160	5	)	)	PUNCT
fumecheng-8241	160	6	analytic	analytic	ADJ
fumecheng-8241	160	7	approximate	approximate	ADJ
fumecheng-8241	160	8	solution	solution	NOUN
fumecheng-8241	160	9	for	for	ADP
fumecheng-8241	160	10	nonlinear	nonlinear	ADJ
fumecheng-8241	160	11	dynamic	dynamic	ADJ
fumecheng-8241	160	12	analysis	analysis	NOUN
fumecheng-8241	160	13	of	of	ADP
fumecheng-8241	160	14	rotating	rotate	VERB
fumecheng-8241	160	15	elastic	elastic	ADJ
fumecheng-8241	160	16	beam	beam	NOUN
fumecheng-8241	160	17	7	7	NUM
fumecheng-8241	160	18	the	the	DET
fumecheng-8241	160	19	initial	initial	ADJ
fumecheng-8241	160	20	solution	solution	NOUN
fumecheng-8241	160	21	for	for	ADP
fumecheng-8241	160	22	u(t	u(t	NOUN
fumecheng-8241	160	23	)	)	PUNCT
fumecheng-8241	160	24	will	will	AUX
fumecheng-8241	160	25	be	be	AUX
fumecheng-8241	160	26	:	:	PUNCT
fumecheng-8241	160	27	*	*	PUNCT
fumecheng-8241	160	28	0	0	PUNCT
fumecheng-8241	160	29	(	(	PUNCT
fumecheng-8241	160	30	)	)	PUNCT
fumecheng-8241	160	31	cos	cos	PROPN
fumecheng-8241	160	32	(	(	PUNCT
fumecheng-8241	160	33	)	)	PUNCT
fumecheng-8241	160	34	u	u	NOUN
fumecheng-8241	160	35	t	t	PROPN
fumecheng-8241	160	36	u	u	NOUN
fumecheng-8241	160	37			X
fumecheng-8241	160	38	(	(	PUNCT
fumecheng-8241	160	39	17	17	NUM
fumecheng-8241	160	40	)	)	PUNCT
fumecheng-8241	160	41	constructing	construct	VERB
fumecheng-8241	160	42	homotopy	homotopy	NOUN
fumecheng-8241	160	43	for	for	ADP
fumecheng-8241	160	44	eq	eq	PROPN
fumecheng-8241	160	45	.	.	PUNCT
fumecheng-8241	161	1	(	(	PUNCT
fumecheng-8241	161	2	16	16	NUM
fumecheng-8241	161	3	)	)	PUNCT
fumecheng-8241	161	4	,	,	PUNCT
fumecheng-8241	161	5	we	we	PRON
fumecheng-8241	161	6	have	have	VERB
fumecheng-8241	161	7	:	:	PUNCT
fumecheng-8241	161	8			VERB
fumecheng-8241	161	9	1	1	NOUN
fumecheng-8241	161	10	ˆ	ˆ	PROPN
fumecheng-8241	161	11	(	(	PUNCT
fumecheng-8241	161	12	)	)	PUNCT
fumecheng-8241	161	13	(	(	PUNCT
fumecheng-8241	161	14	)	)	PUNCT
fumecheng-8241	161	15	(	(	PUNCT
fumecheng-8241	161	16	)	)	PUNCT
fumecheng-8241	161	17	(	(	PUNCT
fumecheng-8241	161	18	)	)	PUNCT
fumecheng-8241	161	19	m	m	VERB
fumecheng-8241	161	20	m	m	VERB
fumecheng-8241	161	21	m	m	VERB
fumecheng-8241	161	22	m	m	VERB
fumecheng-8241	161	23	nu	nu	INTJ
fumecheng-8241	161	24	u	u	ADJ
fumecheng-8241	162	1	h	h	NOUN
fumecheng-8241	162	2	r	r	PROPN
fumecheng-8241	162	3			NOUN
fumecheng-8241	162	4			PROPN
fumecheng-8241	162	5			PROPN
fumecheng-8241	162	6	u	u	NOUN
fumecheng-8241	162	7	(	(	PUNCT
fumecheng-8241	162	8	18	18	NUM
fumecheng-8241	162	9	)	)	PUNCT
fumecheng-8241	162	10	with	with	ADP
fumecheng-8241	162	11	:	:	PUNCT
fumecheng-8241	162	12			NOUN
fumecheng-8241	162	13			PROPN
fumecheng-8241	162	14			PROPN
fumecheng-8241	162	15			PROPN
fumecheng-8241	162	16	,	,	PUNCT
fumecheng-8241	162	17	,	,	PUNCT
fumecheng-8241	162	18	q	q	PROPN
fumecheng-8241	162	19	q	q	PROPN
fumecheng-8241	162	20			VERB
fumecheng-8241	162	21			PUNCT
fumecheng-8241	162	22	(	(	PUNCT
fumecheng-8241	162	23	19	19	NUM
fumecheng-8241	162	24	)	)	PUNCT
fumecheng-8241	162	25			NOUN
fumecheng-8241	162	26			X
fumecheng-8241	163	1			PROPN
fumecheng-8241	163	2	(	(	PUNCT
fumecheng-8241	163	3	1	1	NUM
fumecheng-8241	163	4	)	)	PUNCT
fumecheng-8241	163	5	(	(	PUNCT
fumecheng-8241	163	6	1	1	NUM
fumecheng-8241	163	7	)	)	PUNCT
fumecheng-8241	163	8	0	0	NUM
fumecheng-8241	163	9	,	,	PUNCT
fumecheng-8241	163	10	(	(	PUNCT
fumecheng-8241	163	11	)	)	PUNCT
fumecheng-8241	163	12	(	(	PUNCT
fumecheng-8241	163	13	1	1	NUM
fumecheng-8241	163	14	)	)	PUNCT
fumecheng-8241	163	15	!	!	PUNCT
fumecheng-8241	164	1	m	m	VERB
fumecheng-8241	164	2	m	m	VERB
fumecheng-8241	164	3	n	n	ADV
fumecheng-8241	164	4	m	m	NOUN
fumecheng-8241	164	5	q	q	NOUN
fumecheng-8241	164	6	q	q	X
fumecheng-8241	165	1	r	r	NOUN
fumecheng-8241	165	2	m	m	NOUN
fumecheng-8241	165	3	q	q	NOUN
fumecheng-8241	165	4			NUM
fumecheng-8241	165	5			NOUN
fumecheng-8241	165	6			PROPN
fumecheng-8241	165	7			ADJ
fumecheng-8241	165	8			PROPN
fumecheng-8241	165	9			PROPN
fumecheng-8241	165	10			PROPN
fumecheng-8241	165	11	u	u	PROPN
fumecheng-8241	165	12	(	(	PUNCT
fumecheng-8241	165	13	20	20	NUM
fumecheng-8241	165	14	)	)	PUNCT
fumecheng-8241	165	15			NOUN
fumecheng-8241	165	16			NOUN
fumecheng-8241	166	1			PROPN
fumecheng-8241	166	2	2	2	NUM
fumecheng-8241	166	3	3,q	3,q	NUM
fumecheng-8241	166	4			NOUN
fumecheng-8241	166	5			ADV
fumecheng-8241	166	6			PROPN
fumecheng-8241	166	7	(	(	PUNCT
fumecheng-8241	166	8	21	21	NUM
fumecheng-8241	166	9	)	)	PUNCT
fumecheng-8241	166	10	0	0	NUM
fumecheng-8241	166	11	1	1	NUM
fumecheng-8241	166	12	1	1	NUM
fumecheng-8241	166	13	1	1	NUM
fumecheng-8241	166	14	m	m	NOUN
fumecheng-8241	166	15	m	m	VERB
fumecheng-8241	166	16			NOUN
fumecheng-8241	166	17			NUM
fumecheng-8241	166	18			X
fumecheng-8241	166	19	(	(	PUNCT
fumecheng-8241	166	20	22	22	NUM
fumecheng-8241	166	21	)	)	PUNCT
fumecheng-8241	166	22	0	0	NUM
fumecheng-8241	167	1	n	n	CCONJ
fumecheng-8241	167	2	n	n	CCONJ
fumecheng-8241	167	3	n	n	CCONJ
fumecheng-8241	167	4	q	q	NOUN
fumecheng-8241	167	5			VERB
fumecheng-8241	167	6			NUM
fumecheng-8241	167	7			NOUN
fumecheng-8241	167	8	(	(	PUNCT
fumecheng-8241	167	9	23	23	NUM
fumecheng-8241	167	10	)	)	PUNCT
fumecheng-8241	167	11			NOUN
fumecheng-8241	167	12			PUNCT
fumecheng-8241	167	13	1	1	NUM
fumecheng-8241	167	14	2	2	NUM
fumecheng-8241	167	15	0	0	NUM
fumecheng-8241	167	16	0	0	NUM
fumecheng-8241	167	17	1	1	NUM
fumecheng-8241	167	18	2	2	NUM
fumecheng-8241	167	19	1	1	NUM
fumecheng-8241	167	20	,	,	PUNCT
fumecheng-8241	167	21	(	(	PUNCT
fumecheng-8241	167	22	)	)	PUNCT
fumecheng-8241	167	23	....	....	PUNCT
fumecheng-8241	167	24	n	n	CCONJ
fumecheng-8241	167	25	n	n	CCONJ
fumecheng-8241	167	26	n	n	CCONJ
fumecheng-8241	167	27	q	q	NOUN
fumecheng-8241	167	28	u	u	X
fumecheng-8241	167	29	u	u	NOUN
fumecheng-8241	167	30	t	t	PROPN
fumecheng-8241	167	31	q	q	PROPN
fumecheng-8241	167	32	u	u	PROPN
fumecheng-8241	167	33	q	q	PROPN
fumecheng-8241	167	34	u	u	NOUN
fumecheng-8241	167	35	q	q	X
fumecheng-8241	167	36	u	u	PROPN
fumecheng-8241	167	37			NOUN
fumecheng-8241	167	38			PRON
fumecheng-8241	167	39			PROPN
fumecheng-8241	167	40			ADV
fumecheng-8241	167	41			PROPN
fumecheng-8241	167	42			ADJ
fumecheng-8241	167	43			PUNCT
fumecheng-8241	167	44			NOUN
fumecheng-8241	167	45	(	(	PUNCT
fumecheng-8241	167	46	24	24	NUM
fumecheng-8241	167	47	)	)	PUNCT
fumecheng-8241	167	48	where	where	SCONJ
fumecheng-8241	167	49	ℕ	ℕ	PROPN
fumecheng-8241	167	50	,	,	PUNCT
fumecheng-8241	167	51	,	,	PUNCT
fumecheng-8241	167	52	ĥ	ĥ	X
fumecheng-8241	167	53	,	,	PUNCT
fumecheng-8241	167	54	q	q	X
fumecheng-8241	167	55	,	,	PUNCT
fumecheng-8241	167	56	and	and	CCONJ
fumecheng-8241	167	57	(	(	PUNCT
fumecheng-8241	167	58	)	)	PUNCT
fumecheng-8241	167	59			NOUN
fumecheng-8241	167	60	are	be	AUX
fumecheng-8241	167	61	nonlinear	nonlinear	ADJ
fumecheng-8241	167	62	operator	operator	NOUN
fumecheng-8241	167	63	,	,	PUNCT
fumecheng-8241	167	64	linear	linear	ADJ
fumecheng-8241	167	65	operator	operator	NOUN
fumecheng-8241	167	66	,	,	PUNCT
fumecheng-8241	167	67	auxiliary	auxiliary	NOUN
fumecheng-8241	167	68	constant	constant	ADJ
fumecheng-8241	167	69	,	,	PUNCT
fumecheng-8241	167	70	perturbation	perturbation	NOUN
fumecheng-8241	167	71	,	,	PUNCT
fumecheng-8241	167	72	and	and	CCONJ
fumecheng-8241	167	73	auxiliary	auxiliary	ADJ
fumecheng-8241	167	74	parameters	parameter	NOUN
fumecheng-8241	167	75	,	,	PUNCT
fumecheng-8241	167	76	respectively	respectively	ADV
fumecheng-8241	167	77	.	.	PUNCT
fumecheng-8241	168	1	for	for	ADP
fumecheng-8241	168	2	n=1	n=1	PROPN
fumecheng-8241	168	3	,	,	PUNCT
fumecheng-8241	168	4	we	we	PRON
fumecheng-8241	168	5	have	have	VERB
fumecheng-8241	168	6	:	:	PUNCT
fumecheng-8241	168	7			VERB
fumecheng-8241	168	8	1	1	NOUN
fumecheng-8241	168	9	1	1	NUM
fumecheng-8241	168	10	ˆ	ˆ	NOUN
fumecheng-8241	168	11	(	(	PUNCT
fumecheng-8241	168	12	)	)	PUNCT
fumecheng-8241	168	13	(	(	PUNCT
fumecheng-8241	168	14	)	)	PUNCT
fumecheng-8241	168	15	(	(	PUNCT
fumecheng-8241	168	16	)	)	PUNCT
fumecheng-8241	169	1	nu	nu	INTJ
fumecheng-8241	169	2	h	h	PROPN
fumecheng-8241	169	3	r	r	PROPN
fumecheng-8241	169	4			VERB
fumecheng-8241	169	5	u	u	NOUN
fumecheng-8241	169	6	(	(	PUNCT
fumecheng-8241	169	7	25	25	NUM
fumecheng-8241	169	8	)	)	PUNCT
fumecheng-8241	170	1	where	where	SCONJ
fumecheng-8241	170	2	:	:	PUNCT
fumecheng-8241	170	3			PROPN
fumecheng-8241	170	4			NOUN
fumecheng-8241	170	5	0	0	NOUN
fumecheng-8241	170	6	2	2	NUM
fumecheng-8241	170	7	3	3	NUM
fumecheng-8241	170	8	1	1	NUM
fumecheng-8241	170	9	1	1	NUM
fumecheng-8241	170	10	0	0	NUM
fumecheng-8241	170	11	0	0	NUM
fumecheng-8241	170	12	0	0	NUM
fumecheng-8241	170	13	00	00	NUM
fumecheng-8241	170	14	0	0	NUM
fumecheng-8241	170	15	,	,	PUNCT
fumecheng-8241	170	16	(	(	PUNCT
fumecheng-8241	170	17	)	)	PUNCT
fumecheng-8241	170	18	q	q	NOUN
fumecheng-8241	170	19	q	q	NOUN
fumecheng-8241	170	20	r	r	NOUN
fumecheng-8241	170	21	u	u	NOUN
fumecheng-8241	170	22	u	u	NOUN
fumecheng-8241	170	23	u	u	NOUN
fumecheng-8241	170	24	q	q	NOUN
fumecheng-8241	170	25			VERB
fumecheng-8241	170	26			PROPN
fumecheng-8241	170	27			NUM
fumecheng-8241	170	28			ADJ
fumecheng-8241	170	29			PROPN
fumecheng-8241	170	30			PROPN
fumecheng-8241	170	31			ADV
fumecheng-8241	170	32			PUNCT
fumecheng-8241	170	33			PROPN
fumecheng-8241	170	34	u	u	PROPN
fumecheng-8241	170	35	(	(	PUNCT
fumecheng-8241	170	36	26	26	NUM
fumecheng-8241	170	37	)	)	PUNCT
fumecheng-8241	170	38	substituting	substitute	VERB
fumecheng-8241	170	39	eq	eq	PROPN
fumecheng-8241	170	40	.	.	PUNCT
fumecheng-8241	170	41	(	(	PUNCT
fumecheng-8241	170	42	24	24	NUM
fumecheng-8241	170	43	)	)	PUNCT
fumecheng-8241	170	44	into	into	ADP
fumecheng-8241	170	45	eq	eq	NOUN
fumecheng-8241	170	46	.	.	PUNCT
fumecheng-8241	171	1	(	(	PUNCT
fumecheng-8241	171	2	21	21	NUM
fumecheng-8241	171	3	)	)	PUNCT
fumecheng-8241	171	4	yields	yield	NOUN
fumecheng-8241	171	5	:	:	PUNCT
fumecheng-8241	171	6	2	2	NUM
fumecheng-8241	171	7	3	3	NUM
fumecheng-8241	171	8	1	1	NUM
fumecheng-8241	171	9	1	1	NUM
fumecheng-8241	171	10	0	0	NUM
fumecheng-8241	171	11	0	0	NUM
fumecheng-8241	171	12	0	0	NUM
fumecheng-8241	172	1	0u	0u	ADJ
fumecheng-8241	172	2	u	u	NOUN
fumecheng-8241	172	3	u	u	NOUN
fumecheng-8241	172	4	u	u	NOUN
fumecheng-8241	172	5	u	u	PROPN
fumecheng-8241	172	6			PROPN
fumecheng-8241	172	7			ADV
fumecheng-8241	172	8			X
fumecheng-8241	172	9	(	(	PUNCT
fumecheng-8241	172	10	27	27	NUM
fumecheng-8241	172	11	)	)	PUNCT
fumecheng-8241	172	12	also	also	ADV
fumecheng-8241	172	13	,	,	PUNCT
fumecheng-8241	172	14	with	with	ADP
fumecheng-8241	172	15	substituting	substitute	VERB
fumecheng-8241	172	16	eq	eq	ADP
fumecheng-8241	172	17	.	.	PUNCT
fumecheng-8241	172	18	(	(	PUNCT
fumecheng-8241	172	19	17	17	NUM
fumecheng-8241	172	20	)	)	PUNCT
fumecheng-8241	172	21	into	into	ADP
fumecheng-8241	172	22	eq	eq	NOUN
fumecheng-8241	172	23	.	.	PUNCT
fumecheng-8241	172	24	(	(	PUNCT
fumecheng-8241	172	25	27	27	NUM
fumecheng-8241	172	26	)	)	PUNCT
fumecheng-8241	173	1	,	,	PUNCT
fumecheng-8241	173	2	we	we	PRON
fumecheng-8241	173	3	have	have	VERB
fumecheng-8241	173	4	:	:	PUNCT
fumecheng-8241	173	5			NOUN
fumecheng-8241	173	6			PUNCT
fumecheng-8241	173	7			NOUN
fumecheng-8241	174	1			NOUN
fumecheng-8241	175	1			PUNCT
fumecheng-8241	175	2			NOUN
fumecheng-8241	175	3			PROPN
fumecheng-8241	175	4	3	3	NUM
fumecheng-8241	175	5	2	2	NUM
fumecheng-8241	175	6	*	*	PUNCT
fumecheng-8241	176	1	*	*	PUNCT
fumecheng-8241	176	2	*	*	PUNCT
fumecheng-8241	176	3	1	1	NUM
fumecheng-8241	176	4	1	1	NUM
fumecheng-8241	176	5	0	0	NUM
fumecheng-8241	176	6	cos	cos	PROPN
fumecheng-8241	176	7	cos	cos	PROPN
fumecheng-8241	176	8	cosu	cosu	VERB
fumecheng-8241	176	9	u	u	PROPN
fumecheng-8241	176	10	u	u	NOUN
fumecheng-8241	176	11	u	u	X
fumecheng-8241	176	12	u	u	VERB
fumecheng-8241	176	13			NOUN
fumecheng-8241	176	14			NOUN
fumecheng-8241	176	15			PROPN
fumecheng-8241	176	16			PROPN
fumecheng-8241	176	17			PUNCT
fumecheng-8241	176	18			X
fumecheng-8241	176	19	(	(	PUNCT
fumecheng-8241	176	20	28	28	NUM
fumecheng-8241	176	21	)	)	PUNCT
fumecheng-8241	176	22	with	with	ADP
fumecheng-8241	176	23	some	some	DET
fumecheng-8241	176	24	simplification	simplification	NOUN
fumecheng-8241	176	25	,	,	PUNCT
fumecheng-8241	176	26	eq	eq	NOUN
fumecheng-8241	176	27	.	.	PUNCT
fumecheng-8241	177	1	(	(	PUNCT
fumecheng-8241	177	2	28	28	NUM
fumecheng-8241	177	3	)	)	PUNCT
fumecheng-8241	177	4	can	can	AUX
fumecheng-8241	177	5	be	be	AUX
fumecheng-8241	177	6	expressed	express	VERB
fumecheng-8241	177	7	as	as	ADP
fumecheng-8241	177	8	:	:	PUNCT
fumecheng-8241	177	9	8	8	NUM
fumecheng-8241	177	10	a.	a.	NOUN
fumecheng-8241	177	11	tavakoli	tavakoli	PROPN
fumecheng-8241	177	12	maleki	maleki	NOUN
fumecheng-8241	177	13	,	,	PUNCT
fumecheng-8241	177	14	m.	m.	NOUN
fumecheng-8241	177	15	azimi	azimi	PROPN
fumecheng-8241	177	16	,	,	PUNCT
fumecheng-8241	177	17	s.	s.	PROPN
fumecheng-8241	177	18	moradi	moradi	PROPN
fumecheng-8241	177	19			PROPN
fumecheng-8241	178	1			PUNCT
fumecheng-8241	178	2			NOUN
fumecheng-8241	178	3			SYM
fumecheng-8241	178	4			NOUN
fumecheng-8241	178	5			SYM
fumecheng-8241	178	6			NOUN
fumecheng-8241	178	7			SYM
fumecheng-8241	178	8			NOUN
fumecheng-8241	178	9			SYM
fumecheng-8241	178	10			NOUN
fumecheng-8241	178	11			PUNCT
fumecheng-8241	178	12	2	2	NUM
fumecheng-8241	178	13	*	*	PUNCT
fumecheng-8241	178	14	*	*	SYM
fumecheng-8241	178	15	3	3	NUM
fumecheng-8241	178	16	*	*	SYM
fumecheng-8241	178	17	1	1	NUM
fumecheng-8241	178	18	1	1	NUM
fumecheng-8241	178	19	0	0	NUM
fumecheng-8241	178	20	*	*	SYM
fumecheng-8241	178	21	3	3	NUM
fumecheng-8241	178	22	2	2	NUM
fumecheng-8241	178	23	*	*	PUNCT
fumecheng-8241	178	24	*	*	PUNCT
fumecheng-8241	178	25	*	*	PUNCT
fumecheng-8241	178	26	3	3	NUM
fumecheng-8241	178	27	0	0	NUM
fumecheng-8241	178	28	3	3	NUM
fumecheng-8241	178	29	1	1	NUM
fumecheng-8241	178	30	cos	cos	PROPN
fumecheng-8241	178	31	cos	cos	PROPN
fumecheng-8241	178	32	cos	cos	PROPN
fumecheng-8241	178	33	3	3	PROPN
fumecheng-8241	178	34	cos	cos	PROPN
fumecheng-8241	178	35	4	4	NUM
fumecheng-8241	178	36	4	4	NUM
fumecheng-8241	178	37	3	3	NUM
fumecheng-8241	178	38	cos	cos	PROPN
fumecheng-8241	178	39	cos	cos	PROPN
fumecheng-8241	178	40	3	3	NUM
fumecheng-8241	178	41	4	4	NUM
fumecheng-8241	178	42	4	4	NUM
fumecheng-8241	178	43	u	u	NOUN
fumecheng-8241	178	44	u	u	NOUN
fumecheng-8241	178	45	u	u	NOUN
fumecheng-8241	178	46	u	u	X
fumecheng-8241	178	47	u	u	X
fumecheng-8241	178	48	u	u	X
fumecheng-8241	178	49	u	u	X
fumecheng-8241	178	50	u	u	X
fumecheng-8241	178	51	u	u	NOUN
fumecheng-8241	178	52			X
fumecheng-8241	178	53			NOUN
fumecheng-8241	178	54			NOUN
fumecheng-8241	178	55			NOUN
fumecheng-8241	178	56			ADV
fumecheng-8241	178	57			X
fumecheng-8241	178	58			NOUN
fumecheng-8241	178	59			PROPN
fumecheng-8241	178	60			NOUN
fumecheng-8241	178	61			PROPN
fumecheng-8241	178	62			PROPN
fumecheng-8241	178	63			PROPN
fumecheng-8241	178	64			PROPN
fumecheng-8241	178	65			PUNCT
fumecheng-8241	178	66			PROPN
fumecheng-8241	178	67			PROPN
fumecheng-8241	178	68			PROPN
fumecheng-8241	178	69			NOUN
fumecheng-8241	178	70			NOUN
fumecheng-8241	178	71			NOUN
fumecheng-8241	178	72			PROPN
fumecheng-8241	178	73			PROPN
fumecheng-8241	178	74			PUNCT
fumecheng-8241	178	75			PUNCT
fumecheng-8241	178	76			PROPN
fumecheng-8241	178	77			PROPN
fumecheng-8241	178	78			PROPN
fumecheng-8241	178	79			NOUN
fumecheng-8241	178	80	(	(	PUNCT
fumecheng-8241	178	81	29	29	NUM
fumecheng-8241	178	82	)	)	PUNCT
fumecheng-8241	178	83	the	the	DET
fumecheng-8241	178	84	secular	secular	ADJ
fumecheng-8241	178	85	term	term	NOUN
fumecheng-8241	178	86	cos(τ	cos(τ	PROPN
fumecheng-8241	178	87	)	)	PUNCT
fumecheng-8241	178	88	has	have	VERB
fumecheng-8241	178	89	to	to	PART
fumecheng-8241	178	90	be	be	AUX
fumecheng-8241	178	91	eliminated	eliminate	VERB
fumecheng-8241	178	92	for	for	ADP
fumecheng-8241	178	93	the	the	DET
fumecheng-8241	178	94	next	next	ADJ
fumecheng-8241	178	95	iterations	iteration	NOUN
fumecheng-8241	178	96	,	,	PUNCT
fumecheng-8241	178	97	so	so	SCONJ
fumecheng-8241	178	98	its	its	PRON
fumecheng-8241	178	99	coefficient	coefficient	NOUN
fumecheng-8241	178	100	must	must	AUX
fumecheng-8241	178	101	be	be	AUX
fumecheng-8241	178	102	zero	zero	NUM
fumecheng-8241	178	103	:	:	PUNCT
fumecheng-8241	178	104	2	2	NUM
fumecheng-8241	178	105	*	*	PUNCT
fumecheng-8241	178	106	*	*	PUNCT
fumecheng-8241	179	1	*	*	PUNCT
fumecheng-8241	179	2	3	3	NUM
fumecheng-8241	179	3	0	0	NUM
fumecheng-8241	179	4	3	3	NUM
fumecheng-8241	179	5	0	0	NUM
fumecheng-8241	179	6	4	4	NUM
fumecheng-8241	179	7	u	u	NOUN
fumecheng-8241	179	8	u	u	PROPN
fumecheng-8241	179	9	u	u	PROPN
fumecheng-8241	179	10			ADV
fumecheng-8241	179	11			PUNCT
fumecheng-8241	179	12			PROPN
fumecheng-8241	179	13	(	(	PUNCT
fumecheng-8241	179	14	30	30	NUM
fumecheng-8241	179	15	)	)	PUNCT
fumecheng-8241	179	16	which	which	PRON
fumecheng-8241	179	17	results	result	VERB
fumecheng-8241	179	18	in	in	ADP
fumecheng-8241	179	19	:	:	PUNCT
fumecheng-8241	179	20	*	*	PUNCT
fumecheng-8241	179	21	2	2	NUM
fumecheng-8241	179	22	0	0	NUM
fumecheng-8241	179	23	3	3	NUM
fumecheng-8241	179	24	4	4	NUM
fumecheng-8241	179	25	u	u	ADJ
fumecheng-8241	179	26			ADP
fumecheng-8241	179	27			PUNCT
fumecheng-8241	179	28	(	(	PUNCT
fumecheng-8241	179	29	31	31	NUM
fumecheng-8241	179	30	)	)	PUNCT
fumecheng-8241	179	31	rewriting	rewrite	VERB
fumecheng-8241	179	32	eq	eq	ADP
fumecheng-8241	179	33	.	.	PUNCT
fumecheng-8241	179	34	(	(	PUNCT
fumecheng-8241	179	35	29	29	NUM
fumecheng-8241	179	36	)	)	PUNCT
fumecheng-8241	179	37	without	without	ADP
fumecheng-8241	179	38	secular	secular	ADJ
fumecheng-8241	179	39	terms	term	NOUN
fumecheng-8241	179	40	yields	yield	NOUN
fumecheng-8241	179	41	:	:	PUNCT
fumecheng-8241	179	42			NOUN
fumecheng-8241	179	43			PUNCT
fumecheng-8241	179	44	*	*	SYM
fumecheng-8241	179	45	3	3	NUM
fumecheng-8241	179	46	1	1	NUM
fumecheng-8241	179	47	1	1	NUM
fumecheng-8241	179	48	cos	cos	NOUN
fumecheng-8241	180	1	3	3	NUM
fumecheng-8241	180	2	4	4	NUM
fumecheng-8241	180	3	u	u	NOUN
fumecheng-8241	180	4	u	u	NOUN
fumecheng-8241	180	5	u	u	NOUN
fumecheng-8241	180	6			ADJ
fumecheng-8241	180	7			PROPN
fumecheng-8241	180	8	(	(	PUNCT
fumecheng-8241	180	9	32	32	NUM
fumecheng-8241	180	10	)	)	PUNCT
fumecheng-8241	180	11	repeating	repeat	VERB
fumecheng-8241	180	12	for	for	ADP
fumecheng-8241	180	13	n=2	n=2	PRON
fumecheng-8241	180	14	and	and	CCONJ
fumecheng-8241	180	15	some	some	DET
fumecheng-8241	180	16	simplification	simplification	NOUN
fumecheng-8241	180	17	,	,	PUNCT
fumecheng-8241	180	18	we	we	PRON
fumecheng-8241	180	19	have	have	VERB
fumecheng-8241	180	20	:	:	PUNCT
fumecheng-8241	180	21	2	2	NUM
fumecheng-8241	180	22	2	2	NUM
fumecheng-8241	180	23	*	*	SYM
fumecheng-8241	180	24	2	2	NUM
fumecheng-8241	180	25	2	2	NUM
fumecheng-8241	180	26	*	*	SYM
fumecheng-8241	180	27	2	2	NUM
fumecheng-8241	180	28	2	2	NUM
fumecheng-8241	180	29	*	*	SYM
fumecheng-8241	180	30	43	43	NUM
fumecheng-8241	180	31	3	3	NUM
fumecheng-8241	180	32	21	21	NUM
fumecheng-8241	180	33	4	4	NUM
fumecheng-8241	180	34	2	2	NUM
fumecheng-8241	180	35	32	32	NUM
fumecheng-8241	180	36	u	u	NOUN
fumecheng-8241	180	37	u	u	NOUN
fumecheng-8241	180	38	u	u	NOUN
fumecheng-8241	180	39			NOUN
fumecheng-8241	180	40			PROPN
fumecheng-8241	180	41			PROPN
fumecheng-8241	180	42			ADV
fumecheng-8241	180	43			PUNCT
fumecheng-8241	180	44			PUNCT
fumecheng-8241	180	45			PROPN
fumecheng-8241	180	46			PROPN
fumecheng-8241	180	47			PROPN
fumecheng-8241	180	48			NOUN
fumecheng-8241	180	49	(	(	PUNCT
fumecheng-8241	180	50	33	33	NUM
fumecheng-8241	180	51	)	)	PUNCT
fumecheng-8241	180	52	0	0	NUM
fumecheng-8241	181	1	1	1	NUM
fumecheng-8241	181	2	...	...	PUNCT
fumecheng-8241	181	3	u	u	PRON
fumecheng-8241	181	4	u	u	NOUN
fumecheng-8241	181	5	u	u	X
fumecheng-8241	181	6			PUNCT
fumecheng-8241	181	7			X
fumecheng-8241	181	8	(	(	PUNCT
fumecheng-8241	181	9	34	34	NUM
fumecheng-8241	181	10	)	)	PUNCT
fumecheng-8241	181	11	in	in	ADP
fumecheng-8241	181	12	order	order	NOUN
fumecheng-8241	181	13	to	to	PART
fumecheng-8241	181	14	obtain	obtain	VERB
fumecheng-8241	181	15	the	the	DET
fumecheng-8241	181	16	time	time	NOUN
fumecheng-8241	181	17	response	response	NOUN
fumecheng-8241	181	18	analysis	analysis	NOUN
fumecheng-8241	181	19	to	to	ADP
fumecheng-8241	181	20	external	external	ADJ
fumecheng-8241	181	21	disturbance	disturbance	NOUN
fumecheng-8241	181	22			NOUN
fumecheng-8241	182	1	0	0	INTJ
fumecheng-8241	182	2	cos	cos	X
fumecheng-8241	182	3			NOUN
fumecheng-8241	182	4	of	of	ADP
fumecheng-8241	182	5	system	system	NOUN
fumecheng-8241	182	6	eq	eq	ADJ
fumecheng-8241	182	7	.	.	PUNCT
fumecheng-8241	183	1	(	(	PUNCT
fumecheng-8241	183	2	10	10	NUM
fumecheng-8241	183	3	)	)	PUNCT
fumecheng-8241	183	4	,	,	PUNCT
fumecheng-8241	183	5	reconstructing	reconstruct	VERB
fumecheng-8241	183	6	eq	eq	ADP
fumecheng-8241	183	7	.	.	PUNCT
fumecheng-8241	184	1	(	(	PUNCT
fumecheng-8241	184	2	29	29	NUM
fumecheng-8241	184	3	)	)	PUNCT
fumecheng-8241	184	4	as	as	ADP
fumecheng-8241	184	5	:	:	PUNCT
fumecheng-8241	184	6			NOUN
fumecheng-8241	184	7			PROPN
fumecheng-8241	184	8			NOUN
fumecheng-8241	184	9			SYM
fumecheng-8241	184	10			NOUN
fumecheng-8241	185	1			SYM
fumecheng-8241	185	2			NOUN
fumecheng-8241	185	3			SYM
fumecheng-8241	185	4			NOUN
fumecheng-8241	185	5			SYM
fumecheng-8241	185	6			NOUN
fumecheng-8241	185	7			SYM
fumecheng-8241	185	8			NOUN
fumecheng-8241	185	9			SYM
fumecheng-8241	185	10			NOUN
fumecheng-8241	185	11			PUNCT
fumecheng-8241	185	12	2	2	NUM
fumecheng-8241	185	13	*	*	PUNCT
fumecheng-8241	185	14	*	*	SYM
fumecheng-8241	185	15	3	3	NUM
fumecheng-8241	185	16	*	*	SYM
fumecheng-8241	185	17	1	1	NUM
fumecheng-8241	185	18	1	1	NUM
fumecheng-8241	185	19	0	0	NUM
fumecheng-8241	185	20	0	0	NUM
fumecheng-8241	185	21	*	*	SYM
fumecheng-8241	185	22	3	3	NUM
fumecheng-8241	185	23	2	2	NUM
fumecheng-8241	185	24	*	*	PUNCT
fumecheng-8241	185	25	*	*	PUNCT
fumecheng-8241	186	1	*	*	PUNCT
fumecheng-8241	186	2	3	3	NUM
fumecheng-8241	186	3	0	0	NUM
fumecheng-8241	186	4	0	0	NUM
fumecheng-8241	186	5	3	3	NUM
fumecheng-8241	186	6	1	1	NUM
fumecheng-8241	186	7	cos	cos	PROPN
fumecheng-8241	186	8	cos	cos	PROPN
fumecheng-8241	186	9	cos	cos	PROPN
fumecheng-8241	186	10	3	3	PROPN
fumecheng-8241	186	11	cos	cos	PROPN
fumecheng-8241	186	12	cos	cos	PROPN
fumecheng-8241	186	13	4	4	NUM
fumecheng-8241	186	14	4	4	NUM
fumecheng-8241	186	15	3	3	NUM
fumecheng-8241	186	16	cos	cos	PROPN
fumecheng-8241	186	17	cos	cos	PROPN
fumecheng-8241	186	18	3	3	PROPN
fumecheng-8241	186	19	cos	cos	PROPN
fumecheng-8241	186	20	4	4	NUM
fumecheng-8241	186	21	4	4	NUM
fumecheng-8241	186	22	u	u	NOUN
fumecheng-8241	186	23	u	u	NOUN
fumecheng-8241	186	24	u	u	NOUN
fumecheng-8241	186	25	u	u	X
fumecheng-8241	186	26	u	u	X
fumecheng-8241	186	27	u	u	X
fumecheng-8241	186	28	u	u	X
fumecheng-8241	186	29	u	u	X
fumecheng-8241	186	30	u	u	NOUN
fumecheng-8241	186	31			X
fumecheng-8241	186	32			NOUN
fumecheng-8241	187	1			NOUN
fumecheng-8241	187	2			NOUN
fumecheng-8241	187	3			NOUN
fumecheng-8241	187	4			ADV
fumecheng-8241	187	5			X
fumecheng-8241	187	6			NOUN
fumecheng-8241	187	7			NOUN
fumecheng-8241	187	8			NOUN
fumecheng-8241	187	9			NOUN
fumecheng-8241	187	10			PROPN
fumecheng-8241	187	11			PROPN
fumecheng-8241	187	12			PROPN
fumecheng-8241	187	13			PROPN
fumecheng-8241	187	14			PUNCT
fumecheng-8241	187	15			PUNCT
fumecheng-8241	187	16			PROPN
fumecheng-8241	187	17			PROPN
fumecheng-8241	187	18			PROPN
fumecheng-8241	187	19			NOUN
fumecheng-8241	187	20			NOUN
fumecheng-8241	187	21			NOUN
fumecheng-8241	187	22			PROPN
fumecheng-8241	187	23			PROPN
fumecheng-8241	187	24			ADV
fumecheng-8241	187	25			PUNCT
fumecheng-8241	187	26			PUNCT
fumecheng-8241	187	27			PROPN
fumecheng-8241	187	28			PROPN
fumecheng-8241	187	29			PROPN
fumecheng-8241	187	30			NOUN
fumecheng-8241	187	31	(	(	PUNCT
fumecheng-8241	187	32	35	35	NUM
fumecheng-8241	187	33	)	)	PUNCT
fumecheng-8241	187	34	with	with	ADP
fumecheng-8241	187	35	ft	ft	NOUN
fumecheng-8241	187	36			X
fumecheng-8241	187	37	,	,	PUNCT
fumecheng-8241	187	38	where	where	SCONJ
fumecheng-8241	187	39	ωf	ωf	PROPN
fumecheng-8241	187	40	is	be	AUX
fumecheng-8241	187	41	defined	define	VERB
fumecheng-8241	187	42	as	as	ADP
fumecheng-8241	187	43	an	an	DET
fumecheng-8241	187	44	excitation	excitation	NOUN
fumecheng-8241	187	45	frequency	frequency	NOUN
fumecheng-8241	187	46	.	.	PUNCT
fumecheng-8241	188	1	eliminating	eliminate	VERB
fumecheng-8241	188	2	secular	secular	ADJ
fumecheng-8241	188	3	terms	term	NOUN
fumecheng-8241	188	4	and	and	CCONJ
fumecheng-8241	188	5	rewriting	rewrite	VERB
fumecheng-8241	188	6	eq	eq	ADP
fumecheng-8241	188	7	.	.	PUNCT
fumecheng-8241	189	1	(	(	PUNCT
fumecheng-8241	189	2	35	35	NUM
fumecheng-8241	189	3	)	)	PUNCT
fumecheng-8241	189	4	as	as	ADP
fumecheng-8241	189	5	:	:	PUNCT
fumecheng-8241	189	6			NOUN
fumecheng-8241	189	7			PROPN
fumecheng-8241	189	8			NOUN
fumecheng-8241	189	9			PUNCT
fumecheng-8241	190	1	*	*	PUNCT
fumecheng-8241	190	2	3	3	NUM
fumecheng-8241	190	3	1	1	NUM
fumecheng-8241	190	4	1	1	NUM
fumecheng-8241	190	5	0	0	NUM
fumecheng-8241	190	6	1	1	NUM
fumecheng-8241	190	7	1cos	1cos	NUM
fumecheng-8241	190	8	3	3	NUM
fumecheng-8241	190	9	cos	co	NOUN
fumecheng-8241	190	10	,	,	PUNCT
fumecheng-8241	190	11	(	(	PUNCT
fumecheng-8241	190	12	0	0	NUM
fumecheng-8241	190	13	)	)	PUNCT
fumecheng-8241	190	14	0	0	NUM
fumecheng-8241	190	15	,	,	PUNCT
fumecheng-8241	190	16	(	(	PUNCT
fumecheng-8241	190	17	0	0	NUM
fumecheng-8241	190	18	)	)	PUNCT
fumecheng-8241	190	19	0	0	NUM
fumecheng-8241	191	1	4	4	NUM
fumecheng-8241	191	2	u	u	NOUN
fumecheng-8241	191	3	u	u	NOUN
fumecheng-8241	191	4	u	u	X
fumecheng-8241	191	5	u	u	X
fumecheng-8241	191	6	u	u	PROPN
fumecheng-8241	191	7			PROPN
fumecheng-8241	191	8			PRON
fumecheng-8241	191	9			VERB
fumecheng-8241	191	10			NOUN
fumecheng-8241	191	11			NOUN
fumecheng-8241	191	12	(	(	PUNCT
fumecheng-8241	191	13	36	36	NUM
fumecheng-8241	191	14	)	)	PUNCT
fumecheng-8241	191	15	the	the	DET
fumecheng-8241	191	16	solution	solution	NOUN
fumecheng-8241	191	17	is	be	AUX
fumecheng-8241	191	18	given	give	VERB
fumecheng-8241	191	19	by	by	ADP
fumecheng-8241	191	20	:	:	PUNCT
fumecheng-8241	191	21			NOUN
fumecheng-8241	191	22			PUNCT
fumecheng-8241	191	23	*	*	SYM
fumecheng-8241	191	24	3	3	NUM
fumecheng-8241	191	25	*	*	SYM
fumecheng-8241	191	26	3	3	NUM
fumecheng-8241	191	27	1	1	NUM
fumecheng-8241	191	28	0	0	NUM
fumecheng-8241	191	29	0cos	0co	NOUN
fumecheng-8241	191	30	(	(	PUNCT
fumecheng-8241	191	31	)	)	PUNCT
fumecheng-8241	191	32	cos(3	cos(3	NOUN
fumecheng-8241	191	33	23	23	NUM
fumecheng-8241	191	34	)	)	PUNCT
fumecheng-8241	191	35	cos	cos	ADP
fumecheng-8241	191	36	2	2	NUM
fumecheng-8241	191	37	3	3	NUM
fumecheng-8241	191	38	u	u	NOUN
fumecheng-8241	191	39	u	u	NOUN
fumecheng-8241	191	40	u	u	NOUN
fumecheng-8241	191	41	f	f	PROPN
fumecheng-8241	191	42	f	f	PROPN
fumecheng-8241	191	43			VERB
fumecheng-8241	191	44			PROPN
fumecheng-8241	191	45			ADJ
fumecheng-8241	191	46			NOUN
fumecheng-8241	191	47			NOUN
fumecheng-8241	191	48			PROPN
fumecheng-8241	191	49			PROPN
fumecheng-8241	191	50			CCONJ
fumecheng-8241	191	51			PROPN
fumecheng-8241	191	52			NOUN
fumecheng-8241	191	53	(	(	PUNCT
fumecheng-8241	191	54	37	37	NUM
fumecheng-8241	191	55	)	)	PUNCT
fumecheng-8241	191	56	analytic	analytic	ADJ
fumecheng-8241	191	57	approximate	approximate	ADJ
fumecheng-8241	191	58	solution	solution	NOUN
fumecheng-8241	191	59	for	for	ADP
fumecheng-8241	191	60	nonlinear	nonlinear	ADJ
fumecheng-8241	191	61	dynamic	dynamic	ADJ
fumecheng-8241	191	62	analysis	analysis	NOUN
fumecheng-8241	191	63	of	of	ADP
fumecheng-8241	191	64	rotating	rotate	VERB
fumecheng-8241	191	65	elastic	elastic	ADJ
fumecheng-8241	191	66	beam	beam	NOUN
fumecheng-8241	191	67	9	9	NUM
fumecheng-8241	191	68	4	4	NUM
fumecheng-8241	191	69	.	.	PUNCT
fumecheng-8241	191	70	simulation	simulation	NOUN
fumecheng-8241	191	71	results	result	VERB
fumecheng-8241	191	72	the	the	DET
fumecheng-8241	191	73	simulation	simulation	NOUN
fumecheng-8241	191	74	results	result	NOUN
fumecheng-8241	191	75	have	have	AUX
fumecheng-8241	191	76	been	be	AUX
fumecheng-8241	191	77	investigated	investigate	VERB
fumecheng-8241	191	78	to	to	PART
fumecheng-8241	191	79	study	study	VERB
fumecheng-8241	191	80	the	the	DET
fumecheng-8241	191	81	system	system	NOUN
fumecheng-8241	191	82	’s	’s	PART
fumecheng-8241	191	83	performance	performance	NOUN
fumecheng-8241	191	84	in	in	ADP
fumecheng-8241	191	85	the	the	DET
fumecheng-8241	191	86	main	main	ADJ
fumecheng-8241	191	87	parameter	parameter	NOUN
fumecheng-8241	191	88	variation	variation	NOUN
fumecheng-8241	191	89	.	.	PUNCT
fumecheng-8241	192	1	the	the	DET
fumecheng-8241	192	2	effective	effective	ADJ
fumecheng-8241	192	3	parameters	parameter	NOUN
fumecheng-8241	192	4	of	of	ADP
fumecheng-8241	192	5	the	the	DET
fumecheng-8241	192	6	problem	problem	NOUN
fumecheng-8241	192	7	are	be	AUX
fumecheng-8241	192	8	:	:	PUNCT
fumecheng-8241	192	9	crack	crack	VERB
fumecheng-8241	192	10	location	location	NOUN
fumecheng-8241	192	11	,	,	PUNCT
fumecheng-8241	192	12	corresponding	correspond	VERB
fumecheng-8241	192	13	torsional	torsional	ADJ
fumecheng-8241	192	14	stiffness	stiffness	NOUN
fumecheng-8241	192	15	,	,	PUNCT
fumecheng-8241	192	16	angular	angular	ADJ
fumecheng-8241	192	17	velocity	velocity	NOUN
fumecheng-8241	192	18	,	,	PUNCT
fumecheng-8241	192	19	external	external	ADJ
fumecheng-8241	192	20	force	force	NOUN
fumecheng-8241	192	21	,	,	PUNCT
fumecheng-8241	192	22	and	and	CCONJ
fumecheng-8241	192	23	initial	initial	ADJ
fumecheng-8241	192	24	values	value	NOUN
fumecheng-8241	192	25	.	.	PUNCT
fumecheng-8241	193	1	in	in	ADP
fumecheng-8241	193	2	each	each	DET
fumecheng-8241	193	3	case	case	NOUN
fumecheng-8241	193	4	,	,	PUNCT
fumecheng-8241	193	5	time	time	NOUN
fumecheng-8241	193	6	responses	response	NOUN
fumecheng-8241	193	7	and	and	CCONJ
fumecheng-8241	193	8	phase	phase	NOUN
fumecheng-8241	193	9	diagrams	diagram	NOUN
fumecheng-8241	193	10	have	have	AUX
fumecheng-8241	193	11	been	be	AUX
fumecheng-8241	193	12	obtained	obtain	VERB
fumecheng-8241	193	13	.	.	PUNCT
fumecheng-8241	194	1	in	in	ADP
fumecheng-8241	194	2	the	the	DET
fumecheng-8241	194	3	simulations	simulation	NOUN
fumecheng-8241	194	4	,	,	PUNCT
fumecheng-8241	194	5	the	the	DET
fumecheng-8241	194	6	physical	physical	ADJ
fumecheng-8241	194	7	parameters	parameter	NOUN
fumecheng-8241	194	8	used	use	VERB
fumecheng-8241	194	9	to	to	PART
fumecheng-8241	194	10	describe	describe	VERB
fumecheng-8241	194	11	the	the	DET
fumecheng-8241	194	12	system	system	NOUN
fumecheng-8241	194	13	are	be	AUX
fumecheng-8241	194	14	considered	consider	VERB
fumecheng-8241	194	15	to	to	PART
fumecheng-8241	194	16	be	be	AUX
fumecheng-8241	194	17	:	:	PUNCT
fumecheng-8241	194	18	l=12	l=12	PROPN
fumecheng-8241	194	19	(	(	PUNCT
fumecheng-8241	194	20	m	m	NOUN
fumecheng-8241	194	21	)	)	PUNCT
fumecheng-8241	194	22	,	,	PUNCT
fumecheng-8241	195	1	e=210	e=210	PROPN
fumecheng-8241	195	2	(	(	PUNCT
fumecheng-8241	195	3	gpa	gpa	PROPN
fumecheng-8241	195	4	)	)	PUNCT
fumecheng-8241	195	5	,	,	PUNCT
fumecheng-8241	195	6	ρ=7800(kg	ρ=7800(kg	PROPN
fumecheng-8241	195	7	/	/	SYM
fumecheng-8241	195	8	m3),a	m3),a	NOUN
fumecheng-8241	195	9	=	=	NOUN
fumecheng-8241	195	10	bh=(0.6×0.04	bh=(0.6×0.04	NOUN
fumecheng-8241	195	11	)	)	PUNCT
fumecheng-8241	195	12	(	(	PUNCT
fumecheng-8241	195	13	m2	m2	PROPN
fumecheng-8241	195	14	)	)	PUNCT
fumecheng-8241	195	15	.	.	PUNCT
fumecheng-8241	196	1	the	the	DET
fumecheng-8241	196	2	system	system	NOUN
fumecheng-8241	196	3	performance	performance	NOUN
fumecheng-8241	196	4	in	in	ADP
fumecheng-8241	196	5	terms	term	NOUN
fumecheng-8241	196	6	of	of	ADP
fumecheng-8241	196	7	fundamental	fundamental	ADJ
fumecheng-8241	196	8	nonlinear	nonlinear	ADJ
fumecheng-8241	196	9	natural	natural	ADJ
fumecheng-8241	196	10	frequency	frequency	NOUN
fumecheng-8241	196	11	(	(	PUNCT
fumecheng-8241	196	12	fnnf	fnnf	NOUN
fumecheng-8241	196	13	)	)	PUNCT
fumecheng-8241	196	14	is	be	AUX
fumecheng-8241	196	15	analyzed	analyze	VERB
fumecheng-8241	196	16	for	for	ADP
fumecheng-8241	196	17	different	different	ADJ
fumecheng-8241	196	18	cases	case	NOUN
fumecheng-8241	196	19	.	.	PUNCT
fumecheng-8241	197	1	table	table	NOUN
fumecheng-8241	197	2	1	1	NUM
fumecheng-8241	197	3	shows	show	VERB
fumecheng-8241	197	4	the	the	DET
fumecheng-8241	197	5	effects	effect	NOUN
fumecheng-8241	197	6	of	of	ADP
fumecheng-8241	197	7	three	three	NUM
fumecheng-8241	197	8	different	different	ADJ
fumecheng-8241	197	9	input	input	NOUN
fumecheng-8241	197	10	base	base	NOUN
fumecheng-8241	197	11	angular	angular	ADJ
fumecheng-8241	197	12	velocities	velocity	NOUN
fumecheng-8241	197	13			PROPN
fumecheng-8241	198	1	(	(	PUNCT
fumecheng-8241	198	2	rad	rad	PROPN
fumecheng-8241	198	3	/	/	SYM
fumecheng-8241	198	4	s	s	NOUN
fumecheng-8241	198	5	)	)	PUNCT
fumecheng-8241	199	1	on	on	ADP
fumecheng-8241	199	2	fnnf	fnnf	NOUN
fumecheng-8241	199	3	.	.	PUNCT
fumecheng-8241	200	1	in	in	ADP
fumecheng-8241	200	2	this	this	DET
fumecheng-8241	200	3	case	case	NOUN
fumecheng-8241	200	4	,	,	PUNCT
fumecheng-8241	200	5	the	the	DET
fumecheng-8241	200	6	equivalent	equivalent	ADJ
fumecheng-8241	200	7	torsion	torsion	NOUN
fumecheng-8241	200	8	spring	spring	NOUN
fumecheng-8241	200	9	stiffness	stiffness	NOUN
fumecheng-8241	200	10	is	be	AUX
fumecheng-8241	200	11	k=1×106(n.mm	k=1×106(n.mm	NOUN
fumecheng-8241	200	12	/	/	SYM
fumecheng-8241	200	13	rad	rad	NOUN
fumecheng-8241	200	14	)	)	PUNCT
fumecheng-8241	200	15	,	,	PUNCT
fumecheng-8241	200	16	the	the	DET
fumecheng-8241	200	17	initial	initial	ADJ
fumecheng-8241	200	18	value	value	NOUN
fumecheng-8241	200	19	is	be	AUX
fumecheng-8241	200	20	u*=0.01	u*=0.01	ADV
fumecheng-8241	200	21	,	,	PUNCT
fumecheng-8241	200	22	and	and	CCONJ
fumecheng-8241	200	23	the	the	DET
fumecheng-8241	200	24	crack	crack	NOUN
fumecheng-8241	200	25	location	location	NOUN
fumecheng-8241	200	26	is	be	AUX
fumecheng-8241	200	27	a=6	a=6	X
fumecheng-8241	200	28	(	(	PUNCT
fumecheng-8241	200	29	m	m	NOUN
fumecheng-8241	200	30	)	)	PUNCT
fumecheng-8241	200	31	or	or	CCONJ
fumecheng-8241	200	32	c	c	X
fumecheng-8241	200	33	=	=	SYM
fumecheng-8241	200	34	a	a	PRON
fumecheng-8241	200	35	/	/	SYM
fumecheng-8241	200	36	l=0.5	l=0.5	VERB
fumecheng-8241	200	37	.	.	PUNCT
fumecheng-8241	201	1	table	table	NOUN
fumecheng-8241	201	2	1	1	NUM
fumecheng-8241	201	3	fnnf	fnnf	NOUN
fumecheng-8241	201	4	for	for	ADP
fumecheng-8241	201	5	different	different	ADJ
fumecheng-8241	201	6	angular	angular	ADJ
fumecheng-8241	201	7	velocities	velocity	NOUN
fumecheng-8241	201	8			PROPN
fumecheng-8241	201	9	parameter	parameter	PROPN
fumecheng-8241	201	10	=0	=0	SYM
fumecheng-8241	201	11	=5	=5	PROPN
fumecheng-8241	201	12	=10	=10	PRON
fumecheng-8241	201	13	ω	ω	NUM
fumecheng-8241	201	14	0.8216	0.8216	NUM
fumecheng-8241	201	15	6.661	6.661	NUM
fumecheng-8241	201	16	11.5759	11.5759	NUM
fumecheng-8241	201	17	table	table	NOUN
fumecheng-8241	201	18	2	2	NUM
fumecheng-8241	201	19	fnnf	fnnf	NOUN
fumecheng-8241	201	20	for	for	ADP
fumecheng-8241	201	21	different	different	ADJ
fumecheng-8241	201	22	crack	crack	NOUN
fumecheng-8241	201	23	location	location	NOUN
fumecheng-8241	201	24	c	c	NOUN
fumecheng-8241	201	25	parameter	parameter	NOUN
fumecheng-8241	201	26	c=0.1	c=0.1	NOUN
fumecheng-8241	201	27	c=0.3	c=0.3	NOUN
fumecheng-8241	201	28	c=0.5	c=0.5	ADP
fumecheng-8241	201	29	c=0.7	c=0.7	ADJ
fumecheng-8241	201	30	c=0.9	c=0.9	ADJ
fumecheng-8241	201	31	ω	ω	NUM
fumecheng-8241	201	32	4.294	4.294	NUM
fumecheng-8241	201	33	5.433	5.433	NUM
fumecheng-8241	201	34	6.661	6.661	NUM
fumecheng-8241	201	35	7.373	7.373	NUM
fumecheng-8241	201	36	8.169	8.169	NUM
fumecheng-8241	201	37	table	table	NOUN
fumecheng-8241	201	38	3	3	NUM
fumecheng-8241	201	39	fnnf	fnnf	NOUN
fumecheng-8241	201	40	for	for	ADP
fumecheng-8241	201	41	different	different	ADJ
fumecheng-8241	201	42	crack	crack	NOUN
fumecheng-8241	201	43	stiffness	stiffness	NOUN
fumecheng-8241	201	44	k	k	PROPN
fumecheng-8241	201	45	parameter	parameter	NOUN
fumecheng-8241	201	46	k=∞	k=∞	PROPN
fumecheng-8241	201	47	k=1e6	k=1e6	PROPN
fumecheng-8241	201	48	k=1e5	k=1e5	PROPN
fumecheng-8241	201	49	ω	ω	NUM
fumecheng-8241	201	50	7.187	7.187	NUM
fumecheng-8241	201	51	6.661	6.661	NUM
fumecheng-8241	201	52	4.663	4.663	NUM
fumecheng-8241	201	53	moreover	moreover	ADV
fumecheng-8241	201	54	,	,	PUNCT
fumecheng-8241	201	55	the	the	DET
fumecheng-8241	201	56	effects	effect	NOUN
fumecheng-8241	201	57	of	of	ADP
fumecheng-8241	201	58	crack	crack	NOUN
fumecheng-8241	201	59	characteristics	characteristic	NOUN
fumecheng-8241	201	60	on	on	ADP
fumecheng-8241	201	61	fnnf	fnnf	NOUN
fumecheng-8241	201	62	are	be	AUX
fumecheng-8241	201	63	shown	show	VERB
fumecheng-8241	201	64	in	in	ADP
fumecheng-8241	201	65	tables	table	NOUN
fumecheng-8241	201	66	2	2	NUM
fumecheng-8241	201	67	and	and	CCONJ
fumecheng-8241	201	68	3	3	NUM
fumecheng-8241	201	69	,	,	PUNCT
fumecheng-8241	201	70	respectively	respectively	ADV
fumecheng-8241	201	71	.	.	PUNCT
fumecheng-8241	202	1	clearly	clearly	ADV
fumecheng-8241	202	2	,	,	PUNCT
fumecheng-8241	202	3	with	with	ADP
fumecheng-8241	202	4	the	the	DET
fumecheng-8241	202	5	increase	increase	NOUN
fumecheng-8241	202	6	in	in	ADP
fumecheng-8241	202	7	the	the	DET
fumecheng-8241	202	8	angular	angular	ADJ
fumecheng-8241	202	9	velocity	velocity	NOUN
fumecheng-8241	202	10	crack	crack	NOUN
fumecheng-8241	202	11	stiffness	stiffness	NOUN
fumecheng-8241	202	12	,	,	PUNCT
fumecheng-8241	202	13	the	the	DET
fumecheng-8241	202	14	fnnf	fnnf	NOUN
fumecheng-8241	202	15	of	of	ADP
fumecheng-8241	202	16	the	the	DET
fumecheng-8241	202	17	cracked	crack	VERB
fumecheng-8241	202	18	and	and	CCONJ
fumecheng-8241	202	19	the	the	DET
fumecheng-8241	202	20	uncracked	uncracked	ADJ
fumecheng-8241	202	21	beam	beam	NOUN
fumecheng-8241	202	22	becomes	become	VERB
fumecheng-8241	202	23	closer	close	ADJ
fumecheng-8241	202	24	to	to	ADP
fumecheng-8241	202	25	each	each	DET
fumecheng-8241	202	26	other	other	ADJ
fumecheng-8241	202	27	.	.	PUNCT
fumecheng-8241	203	1	in	in	ADP
fumecheng-8241	203	2	addition	addition	NOUN
fumecheng-8241	203	3	,	,	PUNCT
fumecheng-8241	203	4	for	for	ADP
fumecheng-8241	203	5	cracks	crack	NOUN
fumecheng-8241	203	6	near	near	ADP
fumecheng-8241	203	7	the	the	DET
fumecheng-8241	203	8	clamped	clamp	VERB
fumecheng-8241	203	9	boundary	boundary	NOUN
fumecheng-8241	203	10	,	,	PUNCT
fumecheng-8241	203	11	the	the	DET
fumecheng-8241	203	12	fnnf	fnnf	NOUN
fumecheng-8241	203	13	value	value	NOUN
fumecheng-8241	203	14	is	be	AUX
fumecheng-8241	203	15	decreased	decrease	VERB
fumecheng-8241	203	16	.	.	PUNCT
fumecheng-8241	204	1	it	it	PRON
fumecheng-8241	204	2	can	can	AUX
fumecheng-8241	204	3	also	also	ADV
fumecheng-8241	204	4	be	be	AUX
fumecheng-8241	204	5	found	find	VERB
fumecheng-8241	204	6	that	that	SCONJ
fumecheng-8241	204	7	,	,	PUNCT
fumecheng-8241	204	8	for	for	ADP
fumecheng-8241	204	9	fixed	fix	VERB
fumecheng-8241	204	10	crack	crack	NOUN
fumecheng-8241	204	11	properties	property	NOUN
fumecheng-8241	204	12	,	,	PUNCT
fumecheng-8241	204	13	the	the	DET
fumecheng-8241	204	14	fnnf	fnnf	NOUN
fumecheng-8241	204	15	increases	increase	VERB
fumecheng-8241	204	16	with	with	ADP
fumecheng-8241	204	17	increasing	increase	VERB
fumecheng-8241	204	18	angular	angular	ADJ
fumecheng-8241	204	19	velocity	velocity	NOUN
fumecheng-8241	204	20	due	due	ADP
fumecheng-8241	204	21	to	to	ADP
fumecheng-8241	204	22	the	the	DET
fumecheng-8241	204	23	centrifugal	centrifugal	ADJ
fumecheng-8241	204	24	stiffness	stiffness	NOUN
fumecheng-8241	204	25	.	.	PUNCT
fumecheng-8241	205	1	in	in	ADP
fumecheng-8241	205	2	the	the	DET
fumecheng-8241	205	3	following	following	NOUN
fumecheng-8241	205	4	,	,	PUNCT
fumecheng-8241	205	5	a	a	DET
fumecheng-8241	205	6	comprehensive	comprehensive	ADJ
fumecheng-8241	205	7	parameter	parameter	NOUN
fumecheng-8241	205	8	analysis	analysis	NOUN
fumecheng-8241	205	9	was	be	AUX
fumecheng-8241	205	10	performed	perform	VERB
fumecheng-8241	205	11	to	to	PART
fumecheng-8241	205	12	examine	examine	VERB
fumecheng-8241	205	13	how	how	SCONJ
fumecheng-8241	205	14	the	the	DET
fumecheng-8241	205	15	initial	initial	ADJ
fumecheng-8241	205	16	value	value	NOUN
fumecheng-8241	205	17	,	,	PUNCT
fumecheng-8241	205	18	hub	hub	NOUN
fumecheng-8241	205	19	rotational	rotational	ADJ
fumecheng-8241	205	20	speed	speed	NOUN
fumecheng-8241	205	21	,	,	PUNCT
fumecheng-8241	205	22	crack	crack	VERB
fumecheng-8241	205	23	stiffness	stiffness	NOUN
fumecheng-8241	205	24	and	and	CCONJ
fumecheng-8241	205	25	crack	crack	VERB
fumecheng-8241	205	26	location	location	NOUN
fumecheng-8241	205	27	affect	affect	VERB
fumecheng-8241	205	28	the	the	DET
fumecheng-8241	205	29	free	free	ADJ
fumecheng-8241	205	30	and	and	CCONJ
fumecheng-8241	205	31	force	force	VERB
fumecheng-8241	205	32	vibration	vibration	NOUN
fumecheng-8241	205	33	responses	response	NOUN
fumecheng-8241	205	34	of	of	ADP
fumecheng-8241	205	35	the	the	DET
fumecheng-8241	205	36	system	system	NOUN
fumecheng-8241	205	37	analytically	analytically	ADV
fumecheng-8241	205	38	and	and	CCONJ
fumecheng-8241	205	39	numerically	numerically	ADV
fumecheng-8241	205	40	.	.	PUNCT
fumecheng-8241	206	1	in	in	ADP
fumecheng-8241	206	2	order	order	NOUN
fumecheng-8241	206	3	to	to	PART
fumecheng-8241	206	4	demonstrate	demonstrate	VERB
fumecheng-8241	206	5	the	the	DET
fumecheng-8241	206	6	effectiveness	effectiveness	NOUN
fumecheng-8241	206	7	of	of	ADP
fumecheng-8241	206	8	the	the	DET
fumecheng-8241	206	9	proposed	propose	VERB
fumecheng-8241	206	10	approach	approach	NOUN
fumecheng-8241	206	11	,	,	PUNCT
fumecheng-8241	206	12	a	a	DET
fumecheng-8241	206	13	comparison	comparison	NOUN
fumecheng-8241	206	14	is	be	AUX
fumecheng-8241	206	15	carried	carry	VERB
fumecheng-8241	206	16	out	out	ADP
fumecheng-8241	206	17	between	between	ADP
fumecheng-8241	206	18	hpm	hpm	NOUN
fumecheng-8241	206	19	with	with	ADP
fumecheng-8241	206	20	high	high	ADJ
fumecheng-8241	206	21	deformation	deformation	NOUN
fumecheng-8241	206	22	and	and	CCONJ
fumecheng-8241	206	23	the	the	DET
fumecheng-8241	206	24	runge	runge	NOUN
fumecheng-8241	206	25	-	-	PUNCT
fumecheng-8241	206	26	kutta	kutta	NOUN
fumecheng-8241	206	27	(	(	PUNCT
fumecheng-8241	206	28	4th	4th	ADJ
fumecheng-8241	206	29	order	order	NOUN
fumecheng-8241	206	30	)	)	PUNCT
fumecheng-8241	206	31	numerical	numerical	ADJ
fumecheng-8241	206	32	approach	approach	NOUN
fumecheng-8241	206	33	.	.	PUNCT
fumecheng-8241	207	1	it	it	PRON
fumecheng-8241	207	2	can	can	AUX
fumecheng-8241	207	3	be	be	AUX
fumecheng-8241	207	4	seen	see	VERB
fumecheng-8241	207	5	that	that	SCONJ
fumecheng-8241	207	6	both	both	DET
fumecheng-8241	207	7	methods	method	NOUN
fumecheng-8241	207	8	behave	behave	VERB
fumecheng-8241	207	9	similarly	similarly	ADV
fumecheng-8241	207	10	,	,	PUNCT
fumecheng-8241	207	11	with	with	ADP
fumecheng-8241	207	12	a	a	DET
fumecheng-8241	207	13	slight	slight	ADJ
fumecheng-8241	207	14	deviation	deviation	NOUN
fumecheng-8241	207	15	observed	observe	VERB
fumecheng-8241	207	16	at	at	ADP
fumecheng-8241	207	17	higher	high	ADJ
fumecheng-8241	207	18	deformation	deformation	NOUN
fumecheng-8241	207	19	rates	rate	NOUN
fumecheng-8241	207	20	.	.	PUNCT
fumecheng-8241	208	1	the	the	DET
fumecheng-8241	208	2	system	system	NOUN
fumecheng-8241	208	3	performance	performance	NOUN
fumecheng-8241	208	4	in	in	ADP
fumecheng-8241	208	5	the	the	DET
fumecheng-8241	208	6	case	case	NOUN
fumecheng-8241	208	7	of	of	ADP
fumecheng-8241	208	8	free	free	ADJ
fumecheng-8241	208	9	vibration	vibration	NOUN
fumecheng-8241	208	10	phase	phase	NOUN
fumecheng-8241	208	11	diagrams	diagram	NOUN
fumecheng-8241	208	12	is	be	AUX
fumecheng-8241	208	13	illustrated	illustrate	VERB
fumecheng-8241	208	14	in	in	ADP
fumecheng-8241	208	15	figs	fig	NOUN
fumecheng-8241	208	16	.	.	PUNCT
fumecheng-8241	209	1	2	2	NUM
fumecheng-8241	209	2	-	-	SYM
fumecheng-8241	209	3	5	5	NUM
fumecheng-8241	209	4	.	.	PUNCT
fumecheng-8241	210	1	in	in	ADP
fumecheng-8241	210	2	order	order	NOUN
fumecheng-8241	210	3	to	to	PART
fumecheng-8241	210	4	verify	verify	VERB
fumecheng-8241	210	5	the	the	DET
fumecheng-8241	210	6	accuracy	accuracy	NOUN
fumecheng-8241	210	7	of	of	ADP
fumecheng-8241	210	8	the	the	DET
fumecheng-8241	210	9	hpm	hpm	NOUN
fumecheng-8241	210	10	,	,	PUNCT
fumecheng-8241	210	11	the	the	DET
fumecheng-8241	210	12	results	result	NOUN
fumecheng-8241	210	13	are	be	AUX
fumecheng-8241	210	14	compared	compare	VERB
fumecheng-8241	210	15	with	with	ADP
fumecheng-8241	210	16	the	the	DET
fumecheng-8241	210	17	nβ	nβ	ADJ
fumecheng-8241	210	18	algorithm	algorithm	NOUN
fumecheng-8241	210	19	.	.	PUNCT
fumecheng-8241	211	1	as	as	SCONJ
fumecheng-8241	211	2	shown	show	VERB
fumecheng-8241	211	3	in	in	ADP
fumecheng-8241	211	4	fig	fig	NOUN
fumecheng-8241	211	5	.	.	PUNCT
fumecheng-8241	212	1	2	2	NUM
fumecheng-8241	212	2	,	,	PUNCT
fumecheng-8241	212	3	the	the	DET
fumecheng-8241	212	4	system	system	NOUN
fumecheng-8241	212	5	's	's	PART
fumecheng-8241	212	6	stability	stability	NOUN
fumecheng-8241	212	7	is	be	AUX
fumecheng-8241	212	8	preserved	preserve	VERB
fumecheng-8241	212	9	for	for	ADP
fumecheng-8241	212	10	all	all	DET
fumecheng-8241	212	11	prescribed	prescribed	ADJ
fumecheng-8241	212	12	initial	initial	ADJ
fumecheng-8241	212	13	values	value	NOUN
fumecheng-8241	212	14	.	.	PUNCT
fumecheng-8241	213	1	only	only	ADV
fumecheng-8241	213	2	the	the	DET
fumecheng-8241	213	3	increase	increase	NOUN
fumecheng-8241	213	4	in	in	ADP
fumecheng-8241	213	5	amplitude	amplitude	NOUN
fumecheng-8241	213	6	can	can	AUX
fumecheng-8241	213	7	reduce	reduce	VERB
fumecheng-8241	213	8	the	the	DET
fumecheng-8241	213	9	stability	stability	NOUN
fumecheng-8241	213	10	conditions	condition	NOUN
fumecheng-8241	213	11	,	,	PUNCT
fumecheng-8241	213	12	which	which	PRON
fumecheng-8241	213	13	means	mean	VERB
fumecheng-8241	213	14	the	the	DET
fumecheng-8241	213	15	radius	radius	NOUN
fumecheng-8241	213	16	of	of	ADP
fumecheng-8241	213	17	the	the	DET
fumecheng-8241	213	18	circles	circle	NOUN
fumecheng-8241	213	19	(	(	PUNCT
fumecheng-8241	213	20	phase	phase	NOUN
fumecheng-8241	213	21	portraits	portrait	NOUN
fumecheng-8241	213	22	)	)	PUNCT
fumecheng-8241	213	23	increases	increase	NOUN
fumecheng-8241	213	24	.	.	PUNCT
fumecheng-8241	214	1	the	the	DET
fumecheng-8241	214	2	dimensions	dimension	NOUN
fumecheng-8241	214	3	of	of	ADP
fumecheng-8241	214	4	circular	circular	ADJ
fumecheng-8241	214	5	patterns	pattern	NOUN
fumecheng-8241	214	6	are	be	AUX
fumecheng-8241	214	7	associated	associate	VERB
fumecheng-8241	214	8	with	with	ADP
fumecheng-8241	214	9	the	the	DET
fumecheng-8241	214	10	energy	energy	NOUN
fumecheng-8241	214	11	equilibrium	equilibrium	NOUN
fumecheng-8241	214	12	of	of	ADP
fumecheng-8241	214	13	the	the	DET
fumecheng-8241	214	14	system	system	NOUN
fumecheng-8241	214	15	.	.	PUNCT
fumecheng-8241	215	1	thus	thus	ADV
fumecheng-8241	215	2	,	,	PUNCT
fumecheng-8241	215	3	as	as	ADP
fumecheng-8241	215	4	the	the	DET
fumecheng-8241	215	5	system	system	NOUN
fumecheng-8241	215	6	's	's	PART
fumecheng-8241	215	7	rigidity	rigidity	NOUN
fumecheng-8241	215	8	increases	increase	NOUN
fumecheng-8241	215	9	,	,	PUNCT
fumecheng-8241	215	10	each	each	DET
fumecheng-8241	215	11	loop	loop	NOUN
fumecheng-8241	215	12	's	's	PART
fumecheng-8241	215	13	size	size	NOUN
fumecheng-8241	215	14	decreases	decrease	VERB
fumecheng-8241	215	15	.	.	PUNCT
fumecheng-8241	216	1	10	10	NUM
fumecheng-8241	216	2	a.	a.	NOUN
fumecheng-8241	216	3	tavakoli	tavakoli	PROPN
fumecheng-8241	216	4	maleki	maleki	NOUN
fumecheng-8241	216	5	,	,	PUNCT
fumecheng-8241	216	6	m.	m.	NOUN
fumecheng-8241	216	7	azimi	azimi	PROPN
fumecheng-8241	216	8	,	,	PUNCT
fumecheng-8241	216	9	s.	s.	PROPN
fumecheng-8241	216	10	moradi	moradi	PROPN
fumecheng-8241	216	11	fig	fig	PROPN
fumecheng-8241	216	12	.	.	PUNCT
fumecheng-8241	216	13	2	2	NUM
fumecheng-8241	216	14	phase	phase	NOUN
fumecheng-8241	216	15	portrait	portrait	NOUN
fumecheng-8241	216	16	for	for	ADP
fumecheng-8241	216	17	different	different	ADJ
fumecheng-8241	216	18	u	u	NOUN
fumecheng-8241	216	19	*	*	PUNCT
fumecheng-8241	216	20	(	(	PUNCT
fumecheng-8241	216	21	free	free	ADJ
fumecheng-8241	216	22	vibration	vibration	NOUN
fumecheng-8241	216	23	)	)	PUNCT
fumecheng-8241	216	24	fig	fig	NOUN
fumecheng-8241	216	25	.	.	PUNCT
fumecheng-8241	216	26	3	3	NUM
fumecheng-8241	216	27	phase	phase	NOUN
fumecheng-8241	216	28	portrait	portrait	NOUN
fumecheng-8241	216	29	for	for	ADP
fumecheng-8241	216	30	different	different	ADJ
fumecheng-8241	216	31			PROPN
fumecheng-8241	216	32	(	(	PUNCT
fumecheng-8241	216	33	free	free	ADJ
fumecheng-8241	216	34	vibration	vibration	NOUN
fumecheng-8241	216	35	)	)	PUNCT
fumecheng-8241	216	36	from	from	ADP
fumecheng-8241	216	37	fig	fig	NOUN
fumecheng-8241	216	38	.	.	PUNCT
fumecheng-8241	217	1	3	3	NUM
fumecheng-8241	217	2	,	,	PUNCT
fumecheng-8241	217	3	the	the	DET
fumecheng-8241	217	4	circular	circular	ADJ
fumecheng-8241	217	5	pattern	pattern	NOUN
fumecheng-8241	217	6	of	of	ADP
fumecheng-8241	217	7	the	the	DET
fumecheng-8241	217	8	non	non	ADJ
fumecheng-8241	217	9	-	-	ADJ
fumecheng-8241	217	10	rotating	rotating	ADJ
fumecheng-8241	217	11	structures	structure	NOUN
fumecheng-8241	217	12	strongly	strongly	ADV
fumecheng-8241	217	13	becomes	become	VERB
fumecheng-8241	217	14	elliptic	elliptic	ADJ
fumecheng-8241	217	15	by	by	ADP
fumecheng-8241	217	16	increasing	increase	VERB
fumecheng-8241	217	17	the	the	DET
fumecheng-8241	217	18	angular	angular	ADJ
fumecheng-8241	217	19	velocity	velocity	NOUN
fumecheng-8241	217	20	of	of	ADP
fumecheng-8241	217	21	the	the	DET
fumecheng-8241	217	22	base	base	NOUN
fumecheng-8241	217	23	.	.	PUNCT
fumecheng-8241	218	1	hence	hence	ADV
fumecheng-8241	218	2	with	with	ADP
fumecheng-8241	218	3	an	an	DET
fumecheng-8241	218	4	identical	identical	ADJ
fumecheng-8241	218	5	value	value	NOUN
fumecheng-8241	218	6	in	in	ADP
fumecheng-8241	218	7	the	the	DET
fumecheng-8241	218	8	vibration	vibration	NOUN
fumecheng-8241	218	9	amplitude	amplitude	NOUN
fumecheng-8241	218	10	,	,	PUNCT
fumecheng-8241	218	11	the	the	DET
fumecheng-8241	218	12	rates	rate	NOUN
fumecheng-8241	218	13	are	be	AUX
fumecheng-8241	218	14	sharply	sharply	ADV
fumecheng-8241	218	15	reduced	reduce	VERB
fumecheng-8241	218	16	,	,	PUNCT
fumecheng-8241	218	17	which	which	PRON
fumecheng-8241	218	18	indicates	indicate	VERB
fumecheng-8241	218	19	an	an	DET
fumecheng-8241	218	20	increase	increase	NOUN
fumecheng-8241	218	21	in	in	ADP
fumecheng-8241	218	22	rotational	rotational	ADJ
fumecheng-8241	218	23	stiffness	stiffness	NOUN
fumecheng-8241	218	24	of	of	ADP
fumecheng-8241	218	25	the	the	DET
fumecheng-8241	218	26	system	system	NOUN
fumecheng-8241	218	27	.	.	PUNCT
fumecheng-8241	219	1	this	this	PRON
fumecheng-8241	219	2	happens	happen	VERB
fumecheng-8241	219	3	for	for	ADP
fumecheng-8241	219	4	other	other	ADJ
fumecheng-8241	219	5	cases	case	NOUN
fumecheng-8241	219	6	where	where	SCONJ
fumecheng-8241	219	7	the	the	DET
fumecheng-8241	219	8	crack	crack	NOUN
fumecheng-8241	219	9	stiffness	stiffness	NOUN
fumecheng-8241	219	10	increases	increase	NOUN
fumecheng-8241	219	11	and	and	CCONJ
fumecheng-8241	219	12	the	the	DET
fumecheng-8241	219	13	crack	crack	NOUN
fumecheng-8241	219	14	moves	move	NOUN
fumecheng-8241	219	15	towards	towards	ADP
fumecheng-8241	219	16	the	the	DET
fumecheng-8241	219	17	structure	structure	NOUN
fumecheng-8241	219	18	's	's	PART
fumecheng-8241	219	19	tip	tip	NOUN
fumecheng-8241	219	20	at	at	ADP
fumecheng-8241	219	21	a	a	DET
fumecheng-8241	219	22	lower	low	ADJ
fumecheng-8241	219	23	rate	rate	NOUN
fumecheng-8241	219	24	,	,	PUNCT
fumecheng-8241	219	25	as	as	SCONJ
fumecheng-8241	219	26	shown	show	VERB
fumecheng-8241	219	27	in	in	ADP
fumecheng-8241	219	28	figs	fig	NOUN
fumecheng-8241	219	29	4	4	NUM
fumecheng-8241	219	30	and	and	CCONJ
fumecheng-8241	219	31	5	5	NUM
fumecheng-8241	219	32	.	.	PUNCT
fumecheng-8241	220	1	moreover	moreover	ADV
fumecheng-8241	220	2	,	,	PUNCT
fumecheng-8241	220	3	a	a	DET
fumecheng-8241	220	4	relatively	relatively	ADV
fumecheng-8241	220	5	acceptable	acceptable	ADJ
fumecheng-8241	220	6	correspondence	correspondence	NOUN
fumecheng-8241	220	7	is	be	AUX
fumecheng-8241	220	8	observed	observe	VERB
fumecheng-8241	220	9	between	between	ADP
fumecheng-8241	220	10	hpm	hpm	NOUN
fumecheng-8241	220	11	and	and	CCONJ
fumecheng-8241	220	12	nβ	nβ	PROPN
fumecheng-8241	220	13	.	.	NOUN
fumecheng-8241	220	14	analytic	analytic	ADJ
fumecheng-8241	220	15	approximate	approximate	ADJ
fumecheng-8241	220	16	solution	solution	NOUN
fumecheng-8241	220	17	for	for	ADP
fumecheng-8241	220	18	nonlinear	nonlinear	ADJ
fumecheng-8241	220	19	dynamic	dynamic	ADJ
fumecheng-8241	220	20	analysis	analysis	NOUN
fumecheng-8241	220	21	of	of	ADP
fumecheng-8241	220	22	rotating	rotate	VERB
fumecheng-8241	220	23	elastic	elastic	ADJ
fumecheng-8241	220	24	beam	beam	NOUN
fumecheng-8241	220	25	11	11	NUM
fumecheng-8241	220	26	fig	fig	NOUN
fumecheng-8241	220	27	.	.	PUNCT
fumecheng-8241	221	1	4	4	NUM
fumecheng-8241	221	2	phase	phase	NOUN
fumecheng-8241	221	3	portrait	portrait	NOUN
fumecheng-8241	221	4	for	for	ADP
fumecheng-8241	221	5	different	different	ADJ
fumecheng-8241	221	6	c	c	NOUN
fumecheng-8241	221	7	(	(	PUNCT
fumecheng-8241	221	8	free	free	ADJ
fumecheng-8241	221	9	vibration	vibration	NOUN
fumecheng-8241	221	10	)	)	PUNCT
fumecheng-8241	221	11	fig	fig	NOUN
fumecheng-8241	221	12	.	.	PUNCT
fumecheng-8241	221	13	5	5	NUM
fumecheng-8241	221	14	phase	phase	NOUN
fumecheng-8241	221	15	portrait	portrait	NOUN
fumecheng-8241	221	16	for	for	ADP
fumecheng-8241	221	17	different	different	ADJ
fumecheng-8241	221	18	k	k	PROPN
fumecheng-8241	221	19	(	(	PUNCT
fumecheng-8241	221	20	free	free	ADJ
fumecheng-8241	221	21	vibration	vibration	NOUN
fumecheng-8241	221	22	)	)	PUNCT
fumecheng-8241	221	23	the	the	DET
fumecheng-8241	221	24	simulations	simulation	NOUN
fumecheng-8241	221	25	of	of	ADP
fumecheng-8241	221	26	forced	force	VERB
fumecheng-8241	221	27	vibration	vibration	NOUN
fumecheng-8241	221	28	in	in	ADP
fumecheng-8241	221	29	time	time	NOUN
fumecheng-8241	221	30	response	response	NOUN
fumecheng-8241	221	31	(	(	PUNCT
fumecheng-8241	221	32	tip	tip	NOUN
fumecheng-8241	221	33	deflection	deflection	NOUN
fumecheng-8241	221	34	)	)	PUNCT
fumecheng-8241	221	35	and	and	CCONJ
fumecheng-8241	221	36	phase	phase	NOUN
fumecheng-8241	221	37	diagrams	diagram	NOUN
fumecheng-8241	221	38	are	be	AUX
fumecheng-8241	221	39	compared	compare	VERB
fumecheng-8241	221	40	in	in	ADP
fumecheng-8241	221	41	figs	fig	NOUN
fumecheng-8241	221	42	.	.	PUNCT
fumecheng-8241	222	1	6	6	NUM
fumecheng-8241	222	2	-	-	SYM
fumecheng-8241	222	3	9	9	NUM
fumecheng-8241	222	4	.	.	NOUN
fumecheng-8241	222	5	similar	similar	ADJ
fumecheng-8241	222	6	to	to	ADP
fumecheng-8241	222	7	free	free	ADJ
fumecheng-8241	222	8	vibration	vibration	NOUN
fumecheng-8241	222	9	,	,	PUNCT
fumecheng-8241	222	10	the	the	DET
fumecheng-8241	222	11	force	force	NOUN
fumecheng-8241	222	12	vibration	vibration	NOUN
fumecheng-8241	222	13	responses	response	NOUN
fumecheng-8241	222	14	in	in	ADP
fumecheng-8241	222	15	phase	phase	NOUN
fumecheng-8241	222	16	diagrams	diagram	NOUN
fumecheng-8241	222	17	are	be	AUX
fumecheng-8241	222	18	compared	compare	VERB
fumecheng-8241	222	19	with	with	ADP
fumecheng-8241	222	20	nβ	nβ	ADP
fumecheng-8241	222	21	,	,	PUNCT
fumecheng-8241	222	22	and	and	CCONJ
fumecheng-8241	222	23	again	again	ADV
fumecheng-8241	222	24	,	,	PUNCT
fumecheng-8241	222	25	a	a	DET
fumecheng-8241	222	26	good	good	ADJ
fumecheng-8241	222	27	agreement	agreement	NOUN
fumecheng-8241	222	28	is	be	AUX
fumecheng-8241	222	29	observed	observe	VERB
fumecheng-8241	222	30	.	.	PUNCT
fumecheng-8241	223	1	it	it	PRON
fumecheng-8241	223	2	is	be	AUX
fumecheng-8241	223	3	worth	worth	ADJ
fumecheng-8241	223	4	noting	note	VERB
fumecheng-8241	223	5	that	that	SCONJ
fumecheng-8241	223	6	a	a	DET
fumecheng-8241	223	7	general	general	ADJ
fumecheng-8241	223	8	response	response	NOUN
fumecheng-8241	223	9	for	for	ADP
fumecheng-8241	223	10	systems	system	NOUN
fumecheng-8241	223	11	with	with	ADP
fumecheng-8241	223	12	force	force	NOUN
fumecheng-8241	223	13	vibration	vibration	NOUN
fumecheng-8241	223	14	is	be	AUX
fumecheng-8241	223	15	periodic	periodic	ADJ
fumecheng-8241	223	16	curves	curve	NOUN
fumecheng-8241	223	17	with	with	ADP
fumecheng-8241	223	18	finite	finite	ADJ
fumecheng-8241	223	19	cycles	cycle	NOUN
fumecheng-8241	223	20	,	,	PUNCT
fumecheng-8241	223	21	in	in	ADP
fumecheng-8241	223	22	which	which	PRON
fumecheng-8241	223	23	the	the	DET
fumecheng-8241	223	24	period	period	NOUN
fumecheng-8241	223	25	corresponds	correspond	VERB
fumecheng-8241	223	26	to	to	ADP
fumecheng-8241	223	27	the	the	DET
fumecheng-8241	223	28	excitation	excitation	NOUN
fumecheng-8241	223	29	type	type	NOUN
fumecheng-8241	223	30	.	.	PUNCT
fumecheng-8241	224	1	the	the	DET
fumecheng-8241	224	2	12	12	NUM
fumecheng-8241	224	3	a.	a.	NOUN
fumecheng-8241	224	4	tavakoli	tavakoli	PROPN
fumecheng-8241	224	5	maleki	maleki	NOUN
fumecheng-8241	224	6	,	,	PUNCT
fumecheng-8241	224	7	m.	m.	NOUN
fumecheng-8241	224	8	azimi	azimi	PROPN
fumecheng-8241	224	9	,	,	PUNCT
fumecheng-8241	224	10	s.	s.	PROPN
fumecheng-8241	224	11	moradi	moradi	PROPN
fumecheng-8241	224	12	effect	effect	NOUN
fumecheng-8241	224	13	of	of	ADP
fumecheng-8241	224	14	different	different	ADJ
fumecheng-8241	224	15	parameters	parameter	NOUN
fumecheng-8241	224	16	on	on	ADP
fumecheng-8241	224	17	the	the	DET
fumecheng-8241	224	18	stability	stability	NOUN
fumecheng-8241	224	19	and	and	CCONJ
fumecheng-8241	224	20	performance	performance	NOUN
fumecheng-8241	224	21	of	of	ADP
fumecheng-8241	224	22	the	the	DET
fumecheng-8241	224	23	system	system	NOUN
fumecheng-8241	224	24	is	be	AUX
fumecheng-8241	224	25	investigated	investigate	VERB
fumecheng-8241	224	26	.	.	PUNCT
fumecheng-8241	225	1	as	as	ADP
fumecheng-8241	225	2	for	for	ADP
fumecheng-8241	225	3	the	the	DET
fumecheng-8241	225	4	free	free	ADJ
fumecheng-8241	225	5	vibration	vibration	NOUN
fumecheng-8241	225	6	analysis	analysis	NOUN
fumecheng-8241	225	7	,	,	PUNCT
fumecheng-8241	225	8	the	the	DET
fumecheng-8241	225	9	most	most	ADV
fumecheng-8241	225	10	prominent	prominent	ADJ
fumecheng-8241	225	11	parameter	parameter	NOUN
fumecheng-8241	225	12	which	which	PRON
fumecheng-8241	225	13	affects	affect	VERB
fumecheng-8241	225	14	the	the	DET
fumecheng-8241	225	15	system	system	NOUN
fumecheng-8241	225	16	performance	performance	NOUN
fumecheng-8241	225	17	in	in	ADP
fumecheng-8241	225	18	the	the	DET
fumecheng-8241	225	19	presence	presence	NOUN
fumecheng-8241	225	20	of	of	ADP
fumecheng-8241	225	21	external	external	ADJ
fumecheng-8241	225	22	disturbance	disturbance	NOUN
fumecheng-8241	225	23	is	be	AUX
fumecheng-8241	225	24	the	the	DET
fumecheng-8241	225	25	angular	angular	ADJ
fumecheng-8241	225	26	velocity	velocity	NOUN
fumecheng-8241	225	27	and	and	CCONJ
fumecheng-8241	225	28	the	the	DET
fumecheng-8241	225	29	disturbance	disturbance	NOUN
fumecheng-8241	225	30	amplitude	amplitude	NOUN
fumecheng-8241	225	31	(	(	PUNCT
fumecheng-8241	225	32	figs	fig	NOUN
fumecheng-8241	225	33	.	.	X
fumecheng-8241	226	1	6	6	NUM
fumecheng-8241	226	2	and	and	CCONJ
fumecheng-8241	226	3	7	7	NUM
fumecheng-8241	226	4	)	)	PUNCT
fumecheng-8241	227	1	,	,	PUNCT
fumecheng-8241	227	2	so	so	SCONJ
fumecheng-8241	227	3	that	that	SCONJ
fumecheng-8241	227	4	the	the	DET
fumecheng-8241	227	5	non	non	ADJ
fumecheng-8241	227	6	-	-	ADJ
fumecheng-8241	227	7	rotating	rotating	ADJ
fumecheng-8241	227	8	structure	structure	NOUN
fumecheng-8241	227	9	has	have	VERB
fumecheng-8241	227	10	larger	large	ADJ
fumecheng-8241	227	11	tip	tip	NOUN
fumecheng-8241	227	12	velocities	velocity	NOUN
fumecheng-8241	227	13	of	of	ADP
fumecheng-8241	227	14	the	the	DET
fumecheng-8241	227	15	order	order	NOUN
fumecheng-8241	227	16	of	of	ADP
fumecheng-8241	227	17	~3.5	~3.5	NUM
fumecheng-8241	227	18	times	time	NOUN
fumecheng-8241	227	19	compared	compare	VERB
fumecheng-8241	227	20	to	to	ADP
fumecheng-8241	227	21	the	the	DET
fumecheng-8241	227	22	rotating	rotate	VERB
fumecheng-8241	227	23	cases	case	NOUN
fumecheng-8241	227	24	.	.	PUNCT
fumecheng-8241	228	1	on	on	ADP
fumecheng-8241	228	2	the	the	DET
fumecheng-8241	228	3	other	other	ADJ
fumecheng-8241	228	4	hand	hand	NOUN
fumecheng-8241	228	5	,	,	PUNCT
fumecheng-8241	228	6	by	by	ADP
fumecheng-8241	228	7	increasing	increase	VERB
fumecheng-8241	228	8	the	the	DET
fumecheng-8241	228	9	angular	angular	ADJ
fumecheng-8241	228	10	velocity	velocity	NOUN
fumecheng-8241	228	11	to	to	ADP
fumecheng-8241	228	12	=5	=5	VERB
fumecheng-8241	228	13	,	,	PUNCT
fumecheng-8241	228	14	we	we	PRON
fumecheng-8241	228	15	face	face	VERB
fumecheng-8241	228	16	an	an	DET
fumecheng-8241	228	17	increase	increase	NOUN
fumecheng-8241	228	18	in	in	ADP
fumecheng-8241	228	19	the	the	DET
fumecheng-8241	228	20	amplitude	amplitude	NOUN
fumecheng-8241	228	21	of	of	ADP
fumecheng-8241	228	22	the	the	DET
fumecheng-8241	228	23	oscillations	oscillation	NOUN
fumecheng-8241	228	24	.	.	PUNCT
fumecheng-8241	229	1	however	however	ADV
fumecheng-8241	229	2	,	,	PUNCT
fumecheng-8241	229	3	there	there	PRON
fumecheng-8241	229	4	is	be	VERB
fumecheng-8241	229	5	a	a	DET
fumecheng-8241	229	6	significant	significant	ADJ
fumecheng-8241	229	7	reduction	reduction	NOUN
fumecheng-8241	229	8	in	in	ADP
fumecheng-8241	229	9	the	the	DET
fumecheng-8241	229	10	tip	tip	NOUN
fumecheng-8241	229	11	amplitude	amplitude	NOUN
fumecheng-8241	229	12	and	and	CCONJ
fumecheng-8241	229	13	its	its	PRON
fumecheng-8241	229	14	rate	rate	NOUN
fumecheng-8241	229	15	as	as	SCONJ
fumecheng-8241	229	16	the	the	DET
fumecheng-8241	229	17	base	base	NOUN
fumecheng-8241	229	18	angular	angular	ADJ
fumecheng-8241	229	19	velocity	velocity	NOUN
fumecheng-8241	229	20	reaches	reach	VERB
fumecheng-8241	229	21	=10	=10	PROPN
fumecheng-8241	229	22	.	.	PUNCT
fumecheng-8241	229	23	fig	fig	NOUN
fumecheng-8241	229	24	.	.	PUNCT
fumecheng-8241	230	1	6	6	NUM
fumecheng-8241	230	2	forced	force	VERB
fumecheng-8241	230	3	vibration	vibration	NOUN
fumecheng-8241	230	4	response	response	NOUN
fumecheng-8241	230	5	to	to	ADP
fumecheng-8241	230	6	f0	f0	PROPN
fumecheng-8241	230	7	,	,	PUNCT
fumecheng-8241	230	8	a	a	DET
fumecheng-8241	230	9	)	)	PUNCT
fumecheng-8241	230	10	phase	phase	NOUN
fumecheng-8241	230	11	portrait	portrait	NOUN
fumecheng-8241	230	12	b	b	NOUN
fumecheng-8241	230	13	)	)	PUNCT
fumecheng-8241	230	14	tip	tip	NOUN
fumecheng-8241	230	15	displacement	displacement	NOUN
fumecheng-8241	230	16	a	a	DET
fumecheng-8241	230	17	)	)	PUNCT
fumecheng-8241	230	18	b	b	NOUN
fumecheng-8241	230	19	)	)	PUNCT
fumecheng-8241	230	20	analytic	analytic	ADJ
fumecheng-8241	230	21	approximate	approximate	ADJ
fumecheng-8241	230	22	solution	solution	NOUN
fumecheng-8241	230	23	for	for	ADP
fumecheng-8241	230	24	nonlinear	nonlinear	ADJ
fumecheng-8241	230	25	dynamic	dynamic	ADJ
fumecheng-8241	230	26	analysis	analysis	NOUN
fumecheng-8241	230	27	of	of	ADP
fumecheng-8241	230	28	rotating	rotate	VERB
fumecheng-8241	230	29	elastic	elastic	ADJ
fumecheng-8241	230	30	beam	beam	NOUN
fumecheng-8241	230	31	13	13	NUM
fumecheng-8241	230	32	fig	fig	NOUN
fumecheng-8241	230	33	.	.	PUNCT
fumecheng-8241	231	1	7	7	NUM
fumecheng-8241	231	2	forced	force	VERB
fumecheng-8241	231	3	vibration	vibration	NOUN
fumecheng-8241	231	4	response	response	NOUN
fumecheng-8241	231	5	for	for	ADP
fumecheng-8241	231	6	different	different	ADJ
fumecheng-8241	231	7			PROPN
fumecheng-8241	231	8	,	,	PUNCT
fumecheng-8241	231	9	a	a	PRON
fumecheng-8241	231	10	)	)	PUNCT
fumecheng-8241	231	11	phase	phase	NOUN
fumecheng-8241	231	12	portrait	portrait	NOUN
fumecheng-8241	231	13	b	b	NOUN
fumecheng-8241	231	14	)	)	PUNCT
fumecheng-8241	231	15	phase	phase	NOUN
fumecheng-8241	231	16	diagram	diagram	NOUN
fumecheng-8241	231	17	(	(	PUNCT
fumecheng-8241	231	18	magnified	magnified	ADJ
fumecheng-8241	231	19	)	)	PUNCT
fumecheng-8241	231	20	c	c	NOUN
fumecheng-8241	231	21	)	)	PUNCT
fumecheng-8241	231	22	tip	tip	NOUN
fumecheng-8241	231	23	displacement	displacement	NOUN
fumecheng-8241	231	24	a	a	DET
fumecheng-8241	231	25	)	)	PUNCT
fumecheng-8241	231	26	b	b	NOUN
fumecheng-8241	231	27	)	)	PUNCT
fumecheng-8241	231	28	c	c	NOUN
fumecheng-8241	231	29	)	)	PUNCT
fumecheng-8241	231	30	14	14	NUM
fumecheng-8241	231	31	a.	a.	NOUN
fumecheng-8241	231	32	tavakoli	tavakoli	PROPN
fumecheng-8241	231	33	maleki	maleki	NOUN
fumecheng-8241	231	34	,	,	PUNCT
fumecheng-8241	231	35	m.	m.	NOUN
fumecheng-8241	231	36	azimi	azimi	PROPN
fumecheng-8241	231	37	,	,	PUNCT
fumecheng-8241	231	38	s.	s.	PROPN
fumecheng-8241	231	39	moradi	moradi	PROPN
fumecheng-8241	231	40	fig	fig	PROPN
fumecheng-8241	231	41	.	.	PUNCT
fumecheng-8241	232	1	8	8	NUM
fumecheng-8241	232	2	forced	force	VERB
fumecheng-8241	232	3	vibration	vibration	NOUN
fumecheng-8241	232	4	response	response	NOUN
fumecheng-8241	232	5	for	for	ADP
fumecheng-8241	232	6	different	different	ADJ
fumecheng-8241	232	7	c	c	NOUN
fumecheng-8241	232	8	,	,	PUNCT
fumecheng-8241	232	9	a	a	DET
fumecheng-8241	232	10	)	)	PUNCT
fumecheng-8241	232	11	phase	phase	NOUN
fumecheng-8241	232	12	portrait	portrait	NOUN
fumecheng-8241	232	13	b	b	NOUN
fumecheng-8241	232	14	)	)	PUNCT
fumecheng-8241	232	15	tip	tip	NOUN
fumecheng-8241	232	16	displacement	displacement	NOUN
fumecheng-8241	232	17	it	it	PRON
fumecheng-8241	232	18	should	should	AUX
fumecheng-8241	232	19	be	be	AUX
fumecheng-8241	232	20	noted	note	VERB
fumecheng-8241	232	21	that	that	SCONJ
fumecheng-8241	232	22	different	different	ADJ
fumecheng-8241	232	23	studies	study	NOUN
fumecheng-8241	232	24	to	to	PART
fumecheng-8241	232	25	investigate	investigate	VERB
fumecheng-8241	232	26	the	the	DET
fumecheng-8241	232	27	effects	effect	NOUN
fumecheng-8241	232	28	of	of	ADP
fumecheng-8241	232	29	crack	crack	NOUN
fumecheng-8241	232	30	location	location	NOUN
fumecheng-8241	232	31	and	and	CCONJ
fumecheng-8241	232	32	stiffness	stiffness	NOUN
fumecheng-8241	232	33	in	in	ADP
fumecheng-8241	232	34	the	the	DET
fumecheng-8241	232	35	form	form	NOUN
fumecheng-8241	232	36	of	of	ADP
fumecheng-8241	232	37	closed	closed	ADJ
fumecheng-8241	232	38	curves	curve	NOUN
fumecheng-8241	232	39	are	be	AUX
fumecheng-8241	232	40	shown	show	VERB
fumecheng-8241	232	41	in	in	ADP
fumecheng-8241	232	42	phase	phase	NOUN
fumecheng-8241	232	43	diagrams	diagram	NOUN
fumecheng-8241	232	44	with	with	ADP
fumecheng-8241	232	45	a	a	DET
fumecheng-8241	232	46	concentric	concentric	ADJ
fumecheng-8241	232	47	but	but	CCONJ
fumecheng-8241	232	48	different	different	ADJ
fumecheng-8241	232	49	radius	radius	NOUN
fumecheng-8241	232	50	.	.	PUNCT
fumecheng-8241	233	1	in	in	ADP
fumecheng-8241	233	2	the	the	DET
fumecheng-8241	233	3	presence	presence	NOUN
fumecheng-8241	233	4	of	of	ADP
fumecheng-8241	233	5	external	external	ADJ
fumecheng-8241	233	6	disturbances	disturbance	NOUN
fumecheng-8241	233	7	,	,	PUNCT
fumecheng-8241	233	8	as	as	SCONJ
fumecheng-8241	233	9	the	the	DET
fumecheng-8241	233	10	crack	crack	NOUN
fumecheng-8241	233	11	gets	get	VERB
fumecheng-8241	233	12	closer	close	ADJ
fumecheng-8241	233	13	to	to	ADP
fumecheng-8241	233	14	the	the	DET
fumecheng-8241	233	15	base	base	NOUN
fumecheng-8241	233	16	and	and	CCONJ
fumecheng-8241	233	17	as	as	ADP
fumecheng-8241	233	18	the	the	DET
fumecheng-8241	233	19	crack	crack	NOUN
fumecheng-8241	233	20	stiffness	stiffness	NOUN
fumecheng-8241	233	21	increases	increase	NOUN
fumecheng-8241	233	22	,	,	PUNCT
fumecheng-8241	233	23	the	the	DET
fumecheng-8241	233	24	radius	radius	NOUN
fumecheng-8241	233	25	increases	increase	NOUN
fumecheng-8241	233	26	,	,	PUNCT
fumecheng-8241	233	27	which	which	PRON
fumecheng-8241	233	28	provides	provide	VERB
fumecheng-8241	233	29	that	that	SCONJ
fumecheng-8241	233	30	the	the	DET
fumecheng-8241	233	31	system	system	NOUN
fumecheng-8241	233	32	dynamic	dynamic	ADJ
fumecheng-8241	233	33	becomes	become	VERB
fumecheng-8241	233	34	more	more	ADV
fumecheng-8241	233	35	sensitive	sensitive	ADJ
fumecheng-8241	233	36	to	to	ADP
fumecheng-8241	233	37	parameter	parameter	NOUN
fumecheng-8241	233	38	variations	variation	NOUN
fumecheng-8241	233	39	,	,	PUNCT
fumecheng-8241	233	40	external	external	ADJ
fumecheng-8241	233	41	disturbances	disturbance	NOUN
fumecheng-8241	233	42	,	,	PUNCT
fumecheng-8241	233	43	and	and	CCONJ
fumecheng-8241	233	44	changes	change	NOUN
fumecheng-8241	233	45	in	in	ADP
fumecheng-8241	233	46	the	the	DET
fumecheng-8241	233	47	system	system	NOUN
fumecheng-8241	233	48	stability	stability	NOUN
fumecheng-8241	233	49	criteria	criterion	NOUN
fumecheng-8241	233	50	.	.	PUNCT
fumecheng-8241	234	1	one	one	PRON
fumecheng-8241	234	2	can	can	AUX
fumecheng-8241	234	3	conclude	conclude	VERB
fumecheng-8241	234	4	that	that	SCONJ
fumecheng-8241	234	5	the	the	DET
fumecheng-8241	234	6	phase	phase	NOUN
fumecheng-8241	234	7	diagram	diagram	NOUN
fumecheng-8241	234	8	of	of	ADP
fumecheng-8241	234	9	free	free	ADJ
fumecheng-8241	234	10	vibration	vibration	NOUN
fumecheng-8241	234	11	systems	system	NOUN
fumecheng-8241	234	12	shows	show	VERB
fumecheng-8241	234	13	periodic	periodic	ADJ
fumecheng-8241	234	14	steady	steady	ADJ
fumecheng-8241	234	15	-	-	PUNCT
fumecheng-8241	234	16	state	state	NOUN
fumecheng-8241	234	17	orbits	orbit	NOUN
fumecheng-8241	234	18	whose	whose	DET
fumecheng-8241	234	19	amplitude	amplitude	NOUN
fumecheng-8241	234	20	varies	vary	VERB
fumecheng-8241	234	21	with	with	ADP
fumecheng-8241	234	22	initial	initial	ADJ
fumecheng-8241	234	23	conditions	condition	NOUN
fumecheng-8241	234	24	.	.	PUNCT
fumecheng-8241	235	1	in	in	ADP
fumecheng-8241	235	2	contrast	contrast	NOUN
fumecheng-8241	235	3	,	,	PUNCT
fumecheng-8241	235	4	for	for	ADP
fumecheng-8241	235	5	forced	force	VERB
fumecheng-8241	235	6	vibration	vibration	NOUN
fumecheng-8241	235	7	analysis	analysis	NOUN
fumecheng-8241	235	8	,	,	PUNCT
fumecheng-8241	235	9	this	this	DET
fumecheng-8241	235	10	phase	phase	NOUN
fumecheng-8241	235	11	diagram	diagram	NOUN
fumecheng-8241	235	12	represents	represent	VERB
fumecheng-8241	235	13	periodic	periodic	ADJ
fumecheng-8241	235	14	orbits	orbit	NOUN
fumecheng-8241	235	15	characterized	characterize	VERB
fumecheng-8241	235	16	by	by	ADP
fumecheng-8241	235	17	a	a	DET
fumecheng-8241	235	18	period	period	NOUN
fumecheng-8241	235	19	proportional	proportional	ADJ
fumecheng-8241	235	20	to	to	ADP
fumecheng-8241	235	21	the	the	DET
fumecheng-8241	235	22	harmonic	harmonic	ADJ
fumecheng-8241	235	23	excitation	excitation	NOUN
fumecheng-8241	235	24	force	force	NOUN
fumecheng-8241	235	25	.	.	PUNCT
fumecheng-8241	236	1	a	a	DET
fumecheng-8241	236	2	)	)	PUNCT
fumecheng-8241	236	3	b	b	NOUN
fumecheng-8241	236	4	)	)	PUNCT
fumecheng-8241	236	5	analytic	analytic	ADJ
fumecheng-8241	236	6	approximate	approximate	ADJ
fumecheng-8241	236	7	solution	solution	NOUN
fumecheng-8241	236	8	for	for	ADP
fumecheng-8241	236	9	nonlinear	nonlinear	ADJ
fumecheng-8241	236	10	dynamic	dynamic	ADJ
fumecheng-8241	236	11	analysis	analysis	NOUN
fumecheng-8241	236	12	of	of	ADP
fumecheng-8241	236	13	rotating	rotate	VERB
fumecheng-8241	236	14	elastic	elastic	ADJ
fumecheng-8241	236	15	beam	beam	NOUN
fumecheng-8241	236	16	15	15	NUM
fumecheng-8241	236	17	fig	fig	NOUN
fumecheng-8241	236	18	.	.	PUNCT
fumecheng-8241	237	1	9	9	NUM
fumecheng-8241	237	2	forced	force	VERB
fumecheng-8241	237	3	vibration	vibration	NOUN
fumecheng-8241	237	4	response	response	NOUN
fumecheng-8241	237	5	for	for	ADP
fumecheng-8241	237	6	different	different	ADJ
fumecheng-8241	237	7	k	k	PROPN
fumecheng-8241	237	8	,	,	PUNCT
fumecheng-8241	237	9	a	a	DET
fumecheng-8241	237	10	)	)	PUNCT
fumecheng-8241	237	11	phase	phase	NOUN
fumecheng-8241	237	12	portrait	portrait	NOUN
fumecheng-8241	237	13	b	b	NOUN
fumecheng-8241	237	14	)	)	PUNCT
fumecheng-8241	237	15	tip	tip	NOUN
fumecheng-8241	237	16	displacement	displacement	NOUN
fumecheng-8241	237	17	5	5	NUM
fumecheng-8241	237	18	.	.	PUNCT
fumecheng-8241	238	1	conclusions	conclusion	NOUN
fumecheng-8241	238	2	this	this	DET
fumecheng-8241	238	3	study	study	NOUN
fumecheng-8241	238	4	analyzes	analyze	VERB
fumecheng-8241	238	5	the	the	DET
fumecheng-8241	238	6	free	free	ADJ
fumecheng-8241	238	7	and	and	CCONJ
fumecheng-8241	238	8	forced	force	VERB
fumecheng-8241	238	9	nonlinear	nonlinear	ADJ
fumecheng-8241	238	10	vibration	vibration	NOUN
fumecheng-8241	238	11	of	of	ADP
fumecheng-8241	238	12	a	a	DET
fumecheng-8241	238	13	cracked	crack	VERB
fumecheng-8241	238	14	eb	eb	PROPN
fumecheng-8241	238	15	beam	beam	PROPN
fumecheng-8241	238	16	attached	attach	VERB
fumecheng-8241	238	17	to	to	ADP
fumecheng-8241	238	18	a	a	DET
fumecheng-8241	238	19	rotating	rotate	VERB
fumecheng-8241	238	20	base	base	NOUN
fumecheng-8241	238	21	.	.	PUNCT
fumecheng-8241	239	1	it	it	PRON
fumecheng-8241	239	2	is	be	AUX
fumecheng-8241	239	3	shown	show	VERB
fumecheng-8241	239	4	that	that	SCONJ
fumecheng-8241	239	5	the	the	DET
fumecheng-8241	239	6	nonlinear	nonlinear	ADJ
fumecheng-8241	239	7	governing	govern	VERB
fumecheng-8241	239	8	ordinary	ordinary	ADJ
fumecheng-8241	239	9	differential	differential	ADJ
fumecheng-8241	239	10	equation	equation	NOUN
fumecheng-8241	239	11	can	can	AUX
fumecheng-8241	239	12	be	be	AUX
fumecheng-8241	239	13	extracted	extract	VERB
fumecheng-8241	239	14	from	from	ADP
fumecheng-8241	239	15	pde	pde	NOUN
fumecheng-8241	239	16	and	and	CCONJ
fumecheng-8241	239	17	solved	solve	VERB
fumecheng-8241	239	18	using	use	VERB
fumecheng-8241	239	19	the	the	DET
fumecheng-8241	239	20	high	high	ADJ
fumecheng-8241	239	21	-	-	PUNCT
fumecheng-8241	239	22	order	order	NOUN
fumecheng-8241	239	23	deformation	deformation	NOUN
fumecheng-8241	239	24	form	form	NOUN
fumecheng-8241	239	25	of	of	ADP
fumecheng-8241	239	26	hpm	hpm	NOUN
fumecheng-8241	239	27	.	.	PUNCT
fumecheng-8241	240	1	comprehensive	comprehensive	ADJ
fumecheng-8241	240	2	investigations	investigation	NOUN
fumecheng-8241	240	3	based	base	VERB
fumecheng-8241	240	4	on	on	ADP
fumecheng-8241	240	5	nonlinear	nonlinear	ADJ
fumecheng-8241	240	6	natural	natural	ADJ
fumecheng-8241	240	7	frequency	frequency	NOUN
fumecheng-8241	240	8	,	,	PUNCT
fumecheng-8241	240	9	time	time	NOUN
fumecheng-8241	240	10	response	response	NOUN
fumecheng-8241	240	11	,	,	PUNCT
fumecheng-8241	240	12	and	and	CCONJ
fumecheng-8241	240	13	the	the	DET
fumecheng-8241	240	14	phase	phase	NOUN
fumecheng-8241	240	15	diagram	diagram	NOUN
fumecheng-8241	240	16	are	be	AUX
fumecheng-8241	240	17	made	make	VERB
fumecheng-8241	240	18	to	to	PART
fumecheng-8241	240	19	analyze	analyze	VERB
fumecheng-8241	240	20	the	the	DET
fumecheng-8241	240	21	system	system	NOUN
fumecheng-8241	240	22	's	's	PART
fumecheng-8241	240	23	vibration	vibration	NOUN
fumecheng-8241	240	24	a	a	DET
fumecheng-8241	240	25	)	)	PUNCT
fumecheng-8241	240	26	b	b	NOUN
fumecheng-8241	240	27	)	)	PUNCT
fumecheng-8241	240	28	16	16	NUM
fumecheng-8241	240	29	a.	a.	NOUN
fumecheng-8241	240	30	tavakoli	tavakoli	PROPN
fumecheng-8241	240	31	maleki	maleki	NOUN
fumecheng-8241	240	32	,	,	PUNCT
fumecheng-8241	240	33	m.	m.	NOUN
fumecheng-8241	240	34	azimi	azimi	PROPN
fumecheng-8241	240	35	,	,	PUNCT
fumecheng-8241	240	36	s.	s.	PROPN
fumecheng-8241	240	37	moradi	moradi	PROPN
fumecheng-8241	240	38	characteristics	characteristic	NOUN
fumecheng-8241	240	39	and	and	CCONJ
fumecheng-8241	240	40	stability	stability	NOUN
fumecheng-8241	240	41	,	,	PUNCT
fumecheng-8241	240	42	considering	consider	VERB
fumecheng-8241	240	43	essential	essential	ADJ
fumecheng-8241	240	44	parameter	parameter	NOUN
fumecheng-8241	240	45	effects	effect	NOUN
fumecheng-8241	240	46	such	such	ADJ
fumecheng-8241	240	47	as	as	ADP
fumecheng-8241	240	48	angular	angular	ADJ
fumecheng-8241	240	49	velocities	velocity	NOUN
fumecheng-8241	240	50	,	,	PUNCT
fumecheng-8241	240	51	external	external	ADJ
fumecheng-8241	240	52	disturbances	disturbance	NOUN
fumecheng-8241	240	53	,	,	PUNCT
fumecheng-8241	240	54	crack	crack	VERB
fumecheng-8241	240	55	characteristics	characteristic	NOUN
fumecheng-8241	240	56	and	and	CCONJ
fumecheng-8241	240	57	initial	initial	ADJ
fumecheng-8241	240	58	values	value	NOUN
fumecheng-8241	240	59	.	.	PUNCT
fumecheng-8241	241	1	it	it	PRON
fumecheng-8241	241	2	is	be	AUX
fumecheng-8241	241	3	shown	show	VERB
fumecheng-8241	241	4	that	that	SCONJ
fumecheng-8241	241	5	due	due	ADP
fumecheng-8241	241	6	to	to	ADP
fumecheng-8241	241	7	the	the	DET
fumecheng-8241	241	8	presence	presence	NOUN
fumecheng-8241	241	9	of	of	ADP
fumecheng-8241	241	10	axial	axial	ADJ
fumecheng-8241	241	11	forces	force	NOUN
fumecheng-8241	241	12	(	(	PUNCT
fumecheng-8241	241	13	centrifugal	centrifugal	ADJ
fumecheng-8241	241	14	forces	force	NOUN
fumecheng-8241	241	15	)	)	PUNCT
fumecheng-8241	241	16	,	,	PUNCT
fumecheng-8241	241	17	the	the	DET
fumecheng-8241	241	18	stability	stability	NOUN
fumecheng-8241	241	19	of	of	ADP
fumecheng-8241	241	20	the	the	DET
fumecheng-8241	241	21	rotating	rotate	VERB
fumecheng-8241	241	22	structure	structure	NOUN
fumecheng-8241	241	23	is	be	AUX
fumecheng-8241	241	24	increased	increase	VERB
fumecheng-8241	241	25	,	,	PUNCT
fumecheng-8241	241	26	so	so	SCONJ
fumecheng-8241	241	27	it	it	PRON
fumecheng-8241	241	28	can	can	AUX
fumecheng-8241	241	29	partly	partly	ADV
fumecheng-8241	241	30	cover	cover	VERB
fumecheng-8241	241	31	the	the	DET
fumecheng-8241	241	32	crack	crack	NOUN
fumecheng-8241	241	33	drawbacks	drawback	NOUN
fumecheng-8241	241	34	and	and	CCONJ
fumecheng-8241	241	35	can	can	AUX
fumecheng-8241	241	36	be	be	AUX
fumecheng-8241	241	37	considered	consider	VERB
fumecheng-8241	241	38	a	a	DET
fumecheng-8241	241	39	crack	crack	VERB
fumecheng-8241	241	40	property	property	NOUN
fumecheng-8241	241	41	-	-	PUNCT
fumecheng-8241	241	42	independent	independent	ADJ
fumecheng-8241	241	43	problem	problem	NOUN
fumecheng-8241	241	44	at	at	ADP
fumecheng-8241	241	45	high	high	ADJ
fumecheng-8241	241	46	angular	angular	ADJ
fumecheng-8241	241	47	velocities	velocity	NOUN
fumecheng-8241	241	48	.	.	PUNCT
fumecheng-8241	242	1	it	it	PRON
fumecheng-8241	242	2	is	be	AUX
fumecheng-8241	242	3	concluded	conclude	VERB
fumecheng-8241	242	4	that	that	SCONJ
fumecheng-8241	242	5	the	the	DET
fumecheng-8241	242	6	hpm	hpm	NOUN
fumecheng-8241	242	7	,	,	PUNCT
fumecheng-8241	242	8	even	even	ADV
fumecheng-8241	242	9	with	with	ADP
fumecheng-8241	242	10	lower	low	ADJ
fumecheng-8241	242	11	-	-	PUNCT
fumecheng-8241	242	12	order	order	NOUN
fumecheng-8241	242	13	iteration	iteration	NOUN
fumecheng-8241	242	14	,	,	PUNCT
fumecheng-8241	242	15	has	have	VERB
fumecheng-8241	242	16	great	great	ADJ
fumecheng-8241	242	17	potential	potential	NOUN
fumecheng-8241	242	18	compared	compare	VERB
fumecheng-8241	242	19	to	to	ADP
fumecheng-8241	242	20	numerical	numerical	ADJ
fumecheng-8241	242	21	approaches	approach	NOUN
fumecheng-8241	242	22	such	such	ADJ
fumecheng-8241	242	23	as	as	ADP
fumecheng-8241	242	24	nβ	nβ	NOUN
fumecheng-8241	242	25	,	,	PUNCT
fumecheng-8241	242	26	which	which	PRON
fumecheng-8241	242	27	proposes	propose	VERB
fumecheng-8241	242	28	an	an	DET
fumecheng-8241	242	29	analytical	analytical	ADJ
fumecheng-8241	242	30	approximation	approximation	NOUN
fumecheng-8241	242	31	to	to	ADP
fumecheng-8241	242	32	the	the	DET
fumecheng-8241	242	33	solutions	solution	NOUN
fumecheng-8241	242	34	of	of	ADP
fumecheng-8241	242	35	nonlinear	nonlinear	ADJ
fumecheng-8241	242	36	structural	structural	ADJ
fumecheng-8241	242	37	dynamics	dynamic	NOUN
fumecheng-8241	242	38	.	.	PUNCT
fumecheng-8241	243	1	this	this	DET
fumecheng-8241	243	2	research	research	NOUN
fumecheng-8241	243	3	may	may	AUX
fumecheng-8241	243	4	contribute	contribute	VERB
fumecheng-8241	243	5	to	to	ADP
fumecheng-8241	243	6	developing	develop	VERB
fumecheng-8241	243	7	,	,	PUNCT
fumecheng-8241	243	8	implementing	implement	VERB
fumecheng-8241	243	9	,	,	PUNCT
fumecheng-8241	243	10	and	and	CCONJ
fumecheng-8241	243	11	realizing	realize	VERB
fumecheng-8241	243	12	active	active	ADJ
fumecheng-8241	243	13	vibration	vibration	NOUN
fumecheng-8241	243	14	control	control	NOUN
fumecheng-8241	243	15	algorithms	algorithm	NOUN
fumecheng-8241	243	16	for	for	ADP
fumecheng-8241	243	17	rotating	rotate	VERB
fumecheng-8241	243	18	structures	structure	NOUN
fumecheng-8241	243	19	in	in	ADP
fumecheng-8241	243	20	future	future	ADJ
fumecheng-8241	243	21	studies	study	NOUN
fumecheng-8241	243	22	.	.	PUNCT
fumecheng-8241	244	1	accordingly	accordingly	ADV
fumecheng-8241	244	2	,	,	PUNCT
fumecheng-8241	244	3	a	a	DET
fumecheng-8241	244	4	rotating	rotate	VERB
fumecheng-8241	244	5	simulator	simulator	NOUN
fumecheng-8241	244	6	will	will	AUX
fumecheng-8241	244	7	be	be	AUX
fumecheng-8241	244	8	considered	consider	VERB
fumecheng-8241	244	9	as	as	ADP
fumecheng-8241	244	10	an	an	DET
fumecheng-8241	244	11	experimental	experimental	ADJ
fumecheng-8241	244	12	test	test	NOUN
fumecheng-8241	244	13	bed	bed	NOUN
fumecheng-8241	244	14	to	to	PART
fumecheng-8241	244	15	verify	verify	VERB
fumecheng-8241	244	16	the	the	DET
fumecheng-8241	244	17	feasibility	feasibility	NOUN
fumecheng-8241	244	18	and	and	CCONJ
fumecheng-8241	244	19	accuracy	accuracy	NOUN
fumecheng-8241	244	20	of	of	ADP
fumecheng-8241	244	21	the	the	DET
fumecheng-8241	244	22	proposed	propose	VERB
fumecheng-8241	244	23	approach	approach	NOUN
fumecheng-8241	244	24	.	.	PUNCT
fumecheng-8241	245	1	references	reference	NOUN
fumecheng-8241	245	2	1	1	NUM
fumecheng-8241	245	3	.	.	X
fumecheng-8241	246	1	zhou	zhou	PROPN
fumecheng-8241	246	2	,	,	PUNCT
fumecheng-8241	246	3	y.	y.	PROPN
fumecheng-8241	246	4	,	,	PUNCT
fumecheng-8241	246	5	zhang	zhang	PROPN
fumecheng-8241	246	6	,	,	PUNCT
fumecheng-8241	246	7	y.	y.	PROPN
fumecheng-8241	246	8	,	,	PUNCT
fumecheng-8241	246	9	yao	yao	PROPN
fumecheng-8241	246	10	,	,	PUNCT
fumecheng-8241	246	11	g.	g.	PROPN
fumecheng-8241	246	12	,	,	PUNCT
fumecheng-8241	246	13	2021	2021	NUM
fumecheng-8241	246	14	,	,	PUNCT
fumecheng-8241	246	15	higher	high	ADJ
fumecheng-8241	246	16	-	-	PUNCT
fumecheng-8241	246	17	order	order	NOUN
fumecheng-8241	246	18	stability	stability	NOUN
fumecheng-8241	246	19	analysis	analysis	NOUN
fumecheng-8241	246	20	of	of	ADP
fumecheng-8241	246	21	a	a	DET
fumecheng-8241	246	22	rotating	rotating	NOUN
fumecheng-8241	246	23	bdfg	bdfg	VERB
fumecheng-8241	246	24	tapered	tapered	ADJ
fumecheng-8241	246	25	beam	beam	NOUN
fumecheng-8241	246	26	with	with	ADP
fumecheng-8241	246	27	time	time	NOUN
fumecheng-8241	246	28	-	-	PUNCT
fumecheng-8241	246	29	varying	vary	VERB
fumecheng-8241	246	30	velocity	velocity	NOUN
fumecheng-8241	246	31	,	,	PUNCT
fumecheng-8241	246	32	composite	composite	ADJ
fumecheng-8241	246	33	structures	structure	NOUN
fumecheng-8241	246	34	,	,	PUNCT
fumecheng-8241	246	35	267	267	NUM
fumecheng-8241	246	36	,	,	PUNCT
fumecheng-8241	246	37	113858	113858	NUM
fumecheng-8241	246	38	.	.	PUNCT
fumecheng-8241	247	1	2	2	X
fumecheng-8241	247	2	.	.	X
fumecheng-8241	247	3	saravia	saravia	PROPN
fumecheng-8241	247	4	,	,	PUNCT
fumecheng-8241	247	5	c.m	c.m	PROPN
fumecheng-8241	247	6	.	.	PROPN
fumecheng-8241	247	7	,	,	PUNCT
fumecheng-8241	247	8	machado	machado	PROPN
fumecheng-8241	247	9	,	,	PUNCT
fumecheng-8241	247	10	s.p	s.p	PROPN
fumecheng-8241	247	11	.	.	PROPN
fumecheng-8241	247	12	,	,	PUNCT
fumecheng-8241	247	13	cortínez	cortínez	PROPN
fumecheng-8241	247	14	,	,	PUNCT
fumecheng-8241	247	15	v.h	v.h	PROPN
fumecheng-8241	247	16	.	.	PROPN
fumecheng-8241	247	17	,	,	PUNCT
fumecheng-8241	247	18	2011	2011	NUM
fumecheng-8241	247	19	,	,	PUNCT
fumecheng-8241	247	20	free	free	ADJ
fumecheng-8241	247	21	vibration	vibration	NOUN
fumecheng-8241	247	22	and	and	CCONJ
fumecheng-8241	247	23	dynamic	dynamic	ADJ
fumecheng-8241	247	24	stability	stability	NOUN
fumecheng-8241	247	25	of	of	ADP
fumecheng-8241	247	26	rotating	rotate	VERB
fumecheng-8241	247	27	thin	thin	ADJ
fumecheng-8241	247	28	-	-	PUNCT
fumecheng-8241	247	29	walled	walled	ADJ
fumecheng-8241	247	30	composite	composite	ADJ
fumecheng-8241	247	31	beams	beam	NOUN
fumecheng-8241	247	32	,	,	PUNCT
fumecheng-8241	247	33	european	european	ADJ
fumecheng-8241	247	34	journal	journal	PROPN
fumecheng-8241	247	35	of	of	ADP
fumecheng-8241	247	36	mechanics	mechanic	NOUN
fumecheng-8241	247	37	-	-	PUNCT
fumecheng-8241	247	38	a	a	DET
fumecheng-8241	247	39	/	/	SYM
fumecheng-8241	247	40	solids	solid	NOUN
fumecheng-8241	247	41	,	,	PUNCT
fumecheng-8241	247	42	30(3	30(3	NUM
fumecheng-8241	247	43	)	)	PUNCT
fumecheng-8241	247	44	,	,	PUNCT
fumecheng-8241	247	45	pp	pp	ADP
fumecheng-8241	247	46	.	.	PUNCT
fumecheng-8241	248	1	432	432	NUM
fumecheng-8241	248	2	-	-	SYM
fumecheng-8241	248	3	441	441	NUM
fumecheng-8241	248	4	.	.	PUNCT
fumecheng-8241	249	1	3	3	X
fumecheng-8241	249	2	.	.	X
fumecheng-8241	249	3	bab	bab	PROPN
fumecheng-8241	249	4	,	,	PUNCT
fumecheng-8241	249	5	s.	s.	PROPN
fumecheng-8241	249	6	,	,	PUNCT
fumecheng-8241	249	7	khadem	khadem	PROPN
fumecheng-8241	249	8	,	,	PUNCT
fumecheng-8241	249	9	s.	s.	PROPN
fumecheng-8241	249	10	,	,	PUNCT
fumecheng-8241	249	11	mahdiabadi	mahdiabadi	NOUN
fumecheng-8241	249	12	,	,	PUNCT
fumecheng-8241	249	13	m.	m.	NOUN
fumecheng-8241	249	14	,	,	PUNCT
fumecheng-8241	249	15	shahgholi	shahgholi	ADV
fumecheng-8241	249	16	,	,	PUNCT
fumecheng-8241	249	17	m.	m.	NOUN
fumecheng-8241	249	18	,	,	PUNCT
fumecheng-8241	249	19	2017	2017	NUM
fumecheng-8241	249	20	,	,	PUNCT
fumecheng-8241	249	21	vibration	vibration	NOUN
fumecheng-8241	249	22	mitigation	mitigation	NOUN
fumecheng-8241	249	23	of	of	ADP
fumecheng-8241	249	24	a	a	DET
fumecheng-8241	249	25	rotating	rotate	VERB
fumecheng-8241	249	26	beam	beam	NOUN
fumecheng-8241	249	27	under	under	ADP
fumecheng-8241	249	28	external	external	ADJ
fumecheng-8241	249	29	periodic	periodic	ADJ
fumecheng-8241	249	30	force	force	NOUN
fumecheng-8241	249	31	using	use	VERB
fumecheng-8241	249	32	a	a	DET
fumecheng-8241	249	33	nonlinear	nonlinear	ADJ
fumecheng-8241	249	34	energy	energy	NOUN
fumecheng-8241	249	35	sink	sink	NOUN
fumecheng-8241	249	36	(	(	PUNCT
fumecheng-8241	249	37	nes	nes	PROPN
fumecheng-8241	249	38	)	)	PUNCT
fumecheng-8241	249	39	,	,	PUNCT
fumecheng-8241	249	40	journal	journal	NOUN
fumecheng-8241	249	41	of	of	ADP
fumecheng-8241	249	42	vibration	vibration	NOUN
fumecheng-8241	249	43	and	and	CCONJ
fumecheng-8241	249	44	control	control	NOUN
fumecheng-8241	249	45	,	,	PUNCT
fumecheng-8241	249	46	23(6	23(6	NUM
fumecheng-8241	249	47	)	)	PUNCT
fumecheng-8241	249	48	,	,	PUNCT
fumecheng-8241	249	49	pp	pp	PROPN
fumecheng-8241	249	50	.	.	PUNCT
fumecheng-8241	250	1	1001	1001	NUM
fumecheng-8241	250	2	-	-	SYM
fumecheng-8241	250	3	1025	1025	NUM
fumecheng-8241	250	4	.	.	PUNCT
fumecheng-8241	251	1	4	4	X
fumecheng-8241	251	2	.	.	X
fumecheng-8241	251	3	strzalka	strzalka	PROPN
fumecheng-8241	251	4	,	,	PUNCT
fumecheng-8241	251	5	c.	c.	NOUN
fumecheng-8241	251	6	,	,	PUNCT
fumecheng-8241	251	7	marinkovic	marinkovic	PROPN
fumecheng-8241	251	8	,	,	PUNCT
fumecheng-8241	251	9	d.	d.	PROPN
fumecheng-8241	251	10	,	,	PUNCT
fumecheng-8241	251	11	zehn	zehn	PROPN
fumecheng-8241	251	12	,	,	PUNCT
fumecheng-8241	251	13	m.w	m.w	PROPN
fumecheng-8241	251	14	.	.	PROPN
fumecheng-8241	251	15	,	,	PUNCT
fumecheng-8241	251	16	2021	2021	NUM
fumecheng-8241	251	17	,	,	PUNCT
fumecheng-8241	251	18	stress	stress	NOUN
fumecheng-8241	251	19	mode	mode	NOUN
fumecheng-8241	251	20	superposition	superposition	NOUN
fumecheng-8241	251	21	for	for	ADP
fumecheng-8241	251	22	a	a	DET
fumecheng-8241	251	23	priori	priori	ADJ
fumecheng-8241	251	24	detection	detection	NOUN
fumecheng-8241	251	25	of	of	ADP
fumecheng-8241	251	26	highly	highly	ADV
fumecheng-8241	251	27	stressed	stressed	ADJ
fumecheng-8241	251	28	areas	area	NOUN
fumecheng-8241	251	29	:	:	PUNCT
fumecheng-8241	251	30	mode	mode	NOUN
fumecheng-8241	251	31	normalisation	normalisation	NOUN
fumecheng-8241	251	32	and	and	CCONJ
fumecheng-8241	251	33	loading	loading	NOUN
fumecheng-8241	251	34	influence	influence	NOUN
fumecheng-8241	251	35	,	,	PUNCT
fumecheng-8241	251	36	journal	journal	NOUN
fumecheng-8241	251	37	of	of	ADP
fumecheng-8241	251	38	applied	applied	ADJ
fumecheng-8241	251	39	and	and	CCONJ
fumecheng-8241	251	40	computational	computational	ADJ
fumecheng-8241	251	41	mechanics	mechanic	NOUN
fumecheng-8241	251	42	,	,	PUNCT
fumecheng-8241	251	43	7(3	7(3	NUM
fumecheng-8241	251	44	)	)	PUNCT
fumecheng-8241	251	45	,	,	PUNCT
fumecheng-8241	251	46	pp	pp	ADP
fumecheng-8241	251	47	.	.	PUNCT
fumecheng-8241	252	1	1698	1698	NUM
fumecheng-8241	252	2	-	-	SYM
fumecheng-8241	252	3	1709	1709	NUM
fumecheng-8241	252	4	.	.	PUNCT
fumecheng-8241	253	1	5	5	X
fumecheng-8241	253	2	.	.	X
fumecheng-8241	253	3	gayen	gayen	NOUN
fumecheng-8241	253	4	,	,	PUNCT
fumecheng-8241	253	5	d.	d.	PROPN
fumecheng-8241	253	6	,	,	PUNCT
fumecheng-8241	253	7	tiwari	tiwari	PROPN
fumecheng-8241	253	8	,	,	PUNCT
fumecheng-8241	253	9	r.	r.	PROPN
fumecheng-8241	253	10	,	,	PUNCT
fumecheng-8241	253	11	chakraborty	chakraborty	PROPN
fumecheng-8241	253	12	,	,	PUNCT
fumecheng-8241	253	13	d.	d.	PROPN
fumecheng-8241	253	14	,	,	PUNCT
fumecheng-8241	253	15	2019	2019	NUM
fumecheng-8241	253	16	,	,	PUNCT
fumecheng-8241	253	17	static	static	ADJ
fumecheng-8241	253	18	and	and	CCONJ
fumecheng-8241	253	19	dynamic	dynamic	ADJ
fumecheng-8241	253	20	analyses	analysis	NOUN
fumecheng-8241	253	21	of	of	ADP
fumecheng-8241	253	22	cracked	crack	VERB
fumecheng-8241	253	23	functionally	functionally	ADV
fumecheng-8241	253	24	graded	grade	VERB
fumecheng-8241	253	25	structural	structural	ADJ
fumecheng-8241	253	26	components	component	NOUN
fumecheng-8241	253	27	:	:	PUNCT
fumecheng-8241	253	28	a	a	DET
fumecheng-8241	253	29	review	review	NOUN
fumecheng-8241	253	30	,	,	PUNCT
fumecheng-8241	253	31	composites	composite	VERB
fumecheng-8241	253	32	part	part	NOUN
fumecheng-8241	253	33	b	b	NOUN
fumecheng-8241	253	34	:	:	PUNCT
fumecheng-8241	253	35	engineering	engineering	NOUN
fumecheng-8241	253	36	,	,	PUNCT
fumecheng-8241	253	37	173	173	NUM
fumecheng-8241	253	38	,	,	PUNCT
fumecheng-8241	253	39	106982	106982	NUM
fumecheng-8241	253	40	.	.	PUNCT
fumecheng-8241	254	1	6	6	NUM
fumecheng-8241	254	2	.	.	X
fumecheng-8241	255	1	kim	kim	PROPN
fumecheng-8241	255	2	,	,	PUNCT
fumecheng-8241	255	3	s.	s.	PROPN
fumecheng-8241	255	4	,	,	PUNCT
fumecheng-8241	255	5	kim	kim	PROPN
fumecheng-8241	255	6	,	,	PUNCT
fumecheng-8241	255	7	k.	k.	PROPN
fumecheng-8241	255	8	,	,	PUNCT
fumecheng-8241	255	9	ri	ri	PROPN
fumecheng-8241	255	10	,	,	PUNCT
fumecheng-8241	255	11	m.	m.	NOUN
fumecheng-8241	255	12	,	,	PUNCT
fumecheng-8241	255	13	paek	paek	PROPN
fumecheng-8241	255	14	,	,	PUNCT
fumecheng-8241	255	15	y.	y.	PROPN
fumecheng-8241	255	16	,	,	PUNCT
fumecheng-8241	255	17	kim	kim	PROPN
fumecheng-8241	255	18	,	,	PUNCT
fumecheng-8241	255	19	c.	c.	PROPN
fumecheng-8241	255	20	,	,	PUNCT
fumecheng-8241	255	21	2021	2021	NUM
fumecheng-8241	255	22	,	,	PUNCT
fumecheng-8241	255	23	a	a	DET
fumecheng-8241	255	24	semi	semi	ADJ
fumecheng-8241	255	25	-	-	ADJ
fumecheng-8241	255	26	analytical	analytical	ADJ
fumecheng-8241	255	27	method	method	NOUN
fumecheng-8241	255	28	for	for	ADP
fumecheng-8241	255	29	forced	force	VERB
fumecheng-8241	255	30	vibration	vibration	NOUN
fumecheng-8241	255	31	analysis	analysis	NOUN
fumecheng-8241	255	32	of	of	ADP
fumecheng-8241	255	33	cracked	crack	VERB
fumecheng-8241	255	34	laminated	laminate	VERB
fumecheng-8241	255	35	composite	composite	ADJ
fumecheng-8241	255	36	beam	beam	NOUN
fumecheng-8241	255	37	with	with	ADP
fumecheng-8241	255	38	general	general	ADJ
fumecheng-8241	255	39	boundary	boundary	ADJ
fumecheng-8241	255	40	condition	condition	NOUN
fumecheng-8241	255	41	,	,	PUNCT
fumecheng-8241	255	42	journal	journal	NOUN
fumecheng-8241	255	43	of	of	ADP
fumecheng-8241	255	44	ocean	ocean	PROPN
fumecheng-8241	255	45	engineering	engineering	NOUN
fumecheng-8241	255	46	and	and	CCONJ
fumecheng-8241	255	47	science	science	NOUN
fumecheng-8241	255	48	,	,	PUNCT
fumecheng-8241	255	49	6(1	6(1	NUM
fumecheng-8241	255	50	)	)	PUNCT
fumecheng-8241	255	51	,	,	PUNCT
fumecheng-8241	255	52	pp	pp	PROPN
fumecheng-8241	255	53	.	.	PUNCT
fumecheng-8241	256	1	40	40	NUM
fumecheng-8241	256	2	-	-	SYM
fumecheng-8241	256	3	53	53	NUM
fumecheng-8241	256	4	.	.	PUNCT
fumecheng-8241	257	1	7	7	X
fumecheng-8241	257	2	.	.	X
fumecheng-8241	257	3	de	de	PROPN
fumecheng-8241	257	4	rosa	rosa	PROPN
fumecheng-8241	257	5	,	,	PUNCT
fumecheng-8241	257	6	m.	m.	NOUN
fumecheng-8241	257	7	,	,	PUNCT
fumecheng-8241	257	8	lippiello	lippiello	PROPN
fumecheng-8241	257	9	,	,	PUNCT
fumecheng-8241	257	10	m.	m.	NOUN
fumecheng-8241	257	11	,	,	PUNCT
fumecheng-8241	257	12	2021	2021	NUM
fumecheng-8241	257	13	,	,	PUNCT
fumecheng-8241	257	14	closed	closed	ADJ
fumecheng-8241	257	15	-	-	PUNCT
fumecheng-8241	257	16	form	form	NOUN
fumecheng-8241	257	17	solutions	solution	NOUN
fumecheng-8241	257	18	for	for	ADP
fumecheng-8241	257	19	vibrations	vibration	NOUN
fumecheng-8241	257	20	analysis	analysis	NOUN
fumecheng-8241	257	21	of	of	ADP
fumecheng-8241	257	22	cracked	crack	VERB
fumecheng-8241	257	23	timoshenko	timoshenko	NOUN
fumecheng-8241	257	24	beams	beam	NOUN
fumecheng-8241	257	25	on	on	ADP
fumecheng-8241	257	26	elastic	elastic	ADJ
fumecheng-8241	257	27	medium	medium	NOUN
fumecheng-8241	257	28	:	:	PUNCT
fumecheng-8241	257	29	an	an	DET
fumecheng-8241	257	30	analytically	analytically	ADV
fumecheng-8241	257	31	approach	approach	NOUN
fumecheng-8241	257	32	,	,	PUNCT
fumecheng-8241	257	33	engineering	engineering	NOUN
fumecheng-8241	257	34	structures	structure	NOUN
fumecheng-8241	257	35	,	,	PUNCT
fumecheng-8241	257	36	236	236	NUM
fumecheng-8241	257	37	,	,	PUNCT
fumecheng-8241	257	38	111946	111946	NUM
fumecheng-8241	257	39	.	.	PUNCT
fumecheng-8241	258	1	8	8	NUM
fumecheng-8241	258	2	.	.	X
fumecheng-8241	258	3	altunışık	altunışık	PROPN
fumecheng-8241	258	4	,	,	PUNCT
fumecheng-8241	258	5	a.c	a.c	PROPN
fumecheng-8241	258	6	.	.	PROPN
fumecheng-8241	258	7	,	,	PUNCT
fumecheng-8241	258	8	okur	okur	PROPN
fumecheng-8241	258	9	,	,	PUNCT
fumecheng-8241	258	10	f.y	f.y	PROPN
fumecheng-8241	258	11	.	.	PROPN
fumecheng-8241	258	12	,	,	PUNCT
fumecheng-8241	258	13	karaca	karaca	PROPN
fumecheng-8241	258	14	,	,	PUNCT
fumecheng-8241	258	15	s.	s.	PROPN
fumecheng-8241	258	16	,	,	PUNCT
fumecheng-8241	258	17	kahya	kahya	PROPN
fumecheng-8241	258	18	,	,	PUNCT
fumecheng-8241	258	19	v.	v.	ADP
fumecheng-8241	258	20	,	,	PUNCT
fumecheng-8241	258	21	2019	2019	NUM
fumecheng-8241	258	22	,	,	PUNCT
fumecheng-8241	258	23	vibration	vibration	NOUN
fumecheng-8241	258	24	-	-	PUNCT
fumecheng-8241	258	25	based	base	VERB
fumecheng-8241	258	26	damage	damage	NOUN
fumecheng-8241	258	27	detection	detection	NOUN
fumecheng-8241	258	28	in	in	ADP
fumecheng-8241	258	29	beam	beam	NOUN
fumecheng-8241	258	30	structures	structure	NOUN
fumecheng-8241	258	31	with	with	ADP
fumecheng-8241	258	32	multiple	multiple	ADJ
fumecheng-8241	258	33	cracks	crack	NOUN
fumecheng-8241	258	34	:	:	PUNCT
fumecheng-8241	258	35	modal	modal	NOUN
fumecheng-8241	258	36	curvature	curvature	NOUN
fumecheng-8241	258	37	vs.	vs.	ADP
fumecheng-8241	258	38	modal	modal	ADJ
fumecheng-8241	258	39	flexibility	flexibility	NOUN
fumecheng-8241	258	40	methods	method	NOUN
fumecheng-8241	258	41	,	,	PUNCT
fumecheng-8241	258	42	nondestructive	nondestructive	ADJ
fumecheng-8241	258	43	testing	testing	NOUN
fumecheng-8241	258	44	and	and	CCONJ
fumecheng-8241	258	45	evaluation	evaluation	NOUN
fumecheng-8241	258	46	,	,	PUNCT
fumecheng-8241	258	47	34(1	34(1	NUM
fumecheng-8241	258	48	)	)	PUNCT
fumecheng-8241	258	49	,	,	PUNCT
fumecheng-8241	258	50	pp	pp	PROPN
fumecheng-8241	258	51	.	.	PUNCT
fumecheng-8241	259	1	33	33	NUM
fumecheng-8241	259	2	-	-	SYM
fumecheng-8241	259	3	53	53	NUM
fumecheng-8241	259	4	.	.	NOUN
fumecheng-8241	260	1	9	9	NUM
fumecheng-8241	260	2	.	.	X
fumecheng-8241	260	3	yadao	yadao	PROPN
fumecheng-8241	260	4	,	,	PUNCT
fumecheng-8241	260	5	a.r	a.r	PROPN
fumecheng-8241	260	6	.	.	PROPN
fumecheng-8241	260	7	,	,	PUNCT
fumecheng-8241	260	8	parhi	parhi	NOUN
fumecheng-8241	260	9	,	,	PUNCT
fumecheng-8241	260	10	d.r	d.r	PROPN
fumecheng-8241	260	11	.	.	PROPN
fumecheng-8241	260	12	,	,	PUNCT
fumecheng-8241	260	13	2016	2016	NUM
fumecheng-8241	260	14	,	,	PUNCT
fumecheng-8241	260	15	the	the	DET
fumecheng-8241	260	16	influence	influence	NOUN
fumecheng-8241	260	17	of	of	ADP
fumecheng-8241	260	18	crack	crack	NOUN
fumecheng-8241	260	19	in	in	ADP
fumecheng-8241	260	20	cantilever	cantilever	NOUN
fumecheng-8241	260	21	rotor	rotor	NOUN
fumecheng-8241	260	22	system	system	NOUN
fumecheng-8241	260	23	with	with	ADP
fumecheng-8241	260	24	viscous	viscous	ADJ
fumecheng-8241	260	25	medium	medium	NOUN
fumecheng-8241	260	26	,	,	PUNCT
fumecheng-8241	260	27	international	international	ADJ
fumecheng-8241	260	28	journal	journal	NOUN
fumecheng-8241	260	29	of	of	ADP
fumecheng-8241	260	30	dynamics	dynamic	NOUN
fumecheng-8241	260	31	and	and	CCONJ
fumecheng-8241	260	32	control	control	NOUN
fumecheng-8241	260	33	,	,	PUNCT
fumecheng-8241	260	34	4(4	4(4	NUM
fumecheng-8241	260	35	)	)	PUNCT
fumecheng-8241	260	36	,	,	PUNCT
fumecheng-8241	260	37	pp	pp	PROPN
fumecheng-8241	260	38	.	.	PUNCT
fumecheng-8241	261	1	363	363	NUM
fumecheng-8241	261	2	-	-	SYM
fumecheng-8241	261	3	375	375	NUM
fumecheng-8241	261	4	.	.	PUNCT
fumecheng-8241	262	1	10	10	NUM
fumecheng-8241	262	2	.	.	PUNCT
fumecheng-8241	263	1	batihan	batihan	PROPN
fumecheng-8241	263	2	,	,	PUNCT
fumecheng-8241	263	3	a.ç	a.ç	PROPN
fumecheng-8241	263	4	.	.	PROPN
fumecheng-8241	263	5	,	,	PUNCT
fumecheng-8241	263	6	kadioğlu	kadioğlu	PROPN
fumecheng-8241	263	7	,	,	PUNCT
fumecheng-8241	263	8	f.s	f.s	PROPN
fumecheng-8241	263	9	.	.	PROPN
fumecheng-8241	263	10	,	,	PUNCT
fumecheng-8241	263	11	2016	2016	NUM
fumecheng-8241	263	12	,	,	PUNCT
fumecheng-8241	263	13	vibration	vibration	VERB
fumecheng-8241	263	14	analysis	analysis	NOUN
fumecheng-8241	263	15	of	of	ADP
fumecheng-8241	263	16	a	a	DET
fumecheng-8241	263	17	cracked	crack	VERB
fumecheng-8241	263	18	beam	beam	NOUN
fumecheng-8241	263	19	on	on	ADP
fumecheng-8241	263	20	an	an	DET
fumecheng-8241	263	21	elastic	elastic	ADJ
fumecheng-8241	263	22	foundation	foundation	NOUN
fumecheng-8241	263	23	,	,	PUNCT
fumecheng-8241	263	24	international	international	ADJ
fumecheng-8241	263	25	journal	journal	NOUN
fumecheng-8241	263	26	of	of	ADP
fumecheng-8241	263	27	structural	structural	ADJ
fumecheng-8241	263	28	stability	stability	NOUN
fumecheng-8241	263	29	and	and	CCONJ
fumecheng-8241	263	30	dynamics	dynamic	NOUN
fumecheng-8241	263	31	,	,	PUNCT
fumecheng-8241	263	32	16(05	16(05	NUM
fumecheng-8241	263	33	)	)	PUNCT
fumecheng-8241	263	34	,	,	PUNCT
fumecheng-8241	263	35	1550006	1550006	NUM
fumecheng-8241	263	36	.	.	PUNCT
fumecheng-8241	264	1	11	11	NUM
fumecheng-8241	264	2	.	.	X
fumecheng-8241	264	3	akbaş	akbaş	PROPN
fumecheng-8241	264	4	,	,	PUNCT
fumecheng-8241	264	5	ş.d	ş.d	PROPN
fumecheng-8241	264	6	.	.	PROPN
fumecheng-8241	264	7	,	,	PUNCT
fumecheng-8241	264	8	2017	2017	NUM
fumecheng-8241	264	9	,	,	PUNCT
fumecheng-8241	264	10	free	free	ADJ
fumecheng-8241	264	11	vibration	vibration	NOUN
fumecheng-8241	264	12	of	of	ADP
fumecheng-8241	264	13	edge	edge	NOUN
fumecheng-8241	264	14	cracked	crack	VERB
fumecheng-8241	264	15	functionally	functionally	ADV
fumecheng-8241	264	16	graded	grade	VERB
fumecheng-8241	264	17	microscale	microscale	ADJ
fumecheng-8241	264	18	beams	beam	NOUN
fumecheng-8241	264	19	based	base	VERB
fumecheng-8241	264	20	on	on	ADP
fumecheng-8241	264	21	the	the	DET
fumecheng-8241	264	22	modified	modify	VERB
fumecheng-8241	264	23	couple	couple	NOUN
fumecheng-8241	264	24	stress	stress	NOUN
fumecheng-8241	264	25	theory	theory	NOUN
fumecheng-8241	264	26	,	,	PUNCT
fumecheng-8241	264	27	international	international	ADJ
fumecheng-8241	264	28	journal	journal	NOUN
fumecheng-8241	264	29	of	of	ADP
fumecheng-8241	264	30	structural	structural	ADJ
fumecheng-8241	264	31	stability	stability	NOUN
fumecheng-8241	264	32	and	and	CCONJ
fumecheng-8241	264	33	dynamics	dynamic	NOUN
fumecheng-8241	264	34	,	,	PUNCT
fumecheng-8241	264	35	17(03	17(03	PROPN
fumecheng-8241	264	36	)	)	PUNCT
fumecheng-8241	264	37	,	,	PUNCT
fumecheng-8241	264	38	1750033	1750033	NUM
fumecheng-8241	264	39	.	.	PUNCT
fumecheng-8241	265	1	12	12	NUM
fumecheng-8241	265	2	.	.	X
fumecheng-8241	266	1	yashar	yashar	PROPN
fumecheng-8241	266	2	,	,	PUNCT
fumecheng-8241	266	3	a.	a.	PROPN
fumecheng-8241	266	4	,	,	PUNCT
fumecheng-8241	266	5	ferguson	ferguson	PROPN
fumecheng-8241	266	6	,	,	PUNCT
fumecheng-8241	266	7	n.	n.	NOUN
fumecheng-8241	266	8	,	,	PUNCT
fumecheng-8241	266	9	ghandchi	ghandchi	NOUN
fumecheng-8241	266	10	-	-	PUNCT
fumecheng-8241	266	11	tehrani	tehrani	ADJ
fumecheng-8241	266	12	,	,	PUNCT
fumecheng-8241	266	13	m.	m.	NOUN
fumecheng-8241	266	14	,	,	PUNCT
fumecheng-8241	266	15	2018	2018	NUM
fumecheng-8241	266	16	,	,	PUNCT
fumecheng-8241	266	17	simplified	simplify	VERB
fumecheng-8241	266	18	modelling	modelling	NOUN
fumecheng-8241	266	19	and	and	CCONJ
fumecheng-8241	266	20	analysis	analysis	NOUN
fumecheng-8241	266	21	of	of	ADP
fumecheng-8241	266	22	a	a	DET
fumecheng-8241	266	23	rotating	rotate	VERB
fumecheng-8241	266	24	euler	euler	NOUN
fumecheng-8241	266	25	-	-	PUNCT
fumecheng-8241	266	26	bernoulli	bernoulli	NOUN
fumecheng-8241	266	27	beam	beam	NOUN
fumecheng-8241	266	28	with	with	ADP
fumecheng-8241	266	29	a	a	DET
fumecheng-8241	266	30	single	single	ADJ
fumecheng-8241	266	31	cracked	cracked	ADJ
fumecheng-8241	266	32	edge	edge	NOUN
fumecheng-8241	266	33	,	,	PUNCT
fumecheng-8241	266	34	journal	journal	NOUN
fumecheng-8241	266	35	of	of	ADP
fumecheng-8241	266	36	sound	sound	NOUN
fumecheng-8241	266	37	and	and	CCONJ
fumecheng-8241	266	38	vibration	vibration	NOUN
fumecheng-8241	266	39	,	,	PUNCT
fumecheng-8241	266	40	420	420	NUM
fumecheng-8241	266	41	,	,	PUNCT
fumecheng-8241	266	42	pp	pp	ADJ
fumecheng-8241	266	43	.	.	PUNCT
fumecheng-8241	267	1	346	346	NUM
fumecheng-8241	267	2	-	-	SYM
fumecheng-8241	267	3	356	356	NUM
fumecheng-8241	267	4	.	.	PUNCT
fumecheng-8241	268	1	13	13	NUM
fumecheng-8241	268	2	.	.	PUNCT
fumecheng-8241	269	1	wei	wei	PROPN
fumecheng-8241	269	2	,	,	PUNCT
fumecheng-8241	269	3	d.	d.	PROPN
fumecheng-8241	269	4	,	,	PUNCT
fumecheng-8241	269	5	liu	liu	PROPN
fumecheng-8241	269	6	,	,	PUNCT
fumecheng-8241	269	7	y.	y.	PROPN
fumecheng-8241	269	8	,	,	PUNCT
fumecheng-8241	269	9	xiang	xiang	PROPN
fumecheng-8241	269	10	,	,	PUNCT
fumecheng-8241	269	11	z.	z.	PROPN
fumecheng-8241	269	12	,	,	PUNCT
fumecheng-8241	269	13	2012	2012	NUM
fumecheng-8241	269	14	,	,	PUNCT
fumecheng-8241	269	15	an	an	DET
fumecheng-8241	269	16	analytical	analytical	ADJ
fumecheng-8241	269	17	method	method	NOUN
fumecheng-8241	269	18	for	for	ADP
fumecheng-8241	269	19	free	free	ADJ
fumecheng-8241	269	20	vibration	vibration	NOUN
fumecheng-8241	269	21	analysis	analysis	NOUN
fumecheng-8241	269	22	of	of	ADP
fumecheng-8241	269	23	functionally	functionally	ADV
fumecheng-8241	269	24	graded	grade	VERB
fumecheng-8241	269	25	beams	beam	NOUN
fumecheng-8241	269	26	with	with	ADP
fumecheng-8241	269	27	edge	edge	NOUN
fumecheng-8241	269	28	cracks	crack	NOUN
fumecheng-8241	269	29	,	,	PUNCT
fumecheng-8241	269	30	journal	journal	NOUN
fumecheng-8241	269	31	of	of	ADP
fumecheng-8241	269	32	sound	sound	NOUN
fumecheng-8241	269	33	and	and	CCONJ
fumecheng-8241	269	34	vibration	vibration	NOUN
fumecheng-8241	269	35	,	,	PUNCT
fumecheng-8241	269	36	331(7	331(7	NUM
fumecheng-8241	269	37	)	)	PUNCT
fumecheng-8241	269	38	,	,	PUNCT
fumecheng-8241	269	39	pp	pp	ADP
fumecheng-8241	269	40	.	.	PUNCT
fumecheng-8241	269	41	1686	1686	NUM
fumecheng-8241	269	42	-	-	SYM
fumecheng-8241	269	43	1700	1700	NUM
fumecheng-8241	269	44	.	.	PUNCT
fumecheng-8241	270	1	14	14	NUM
fumecheng-8241	270	2	.	.	PUNCT
fumecheng-8241	271	1	panigrahi	panigrahi	NOUN
fumecheng-8241	271	2	,	,	PUNCT
fumecheng-8241	271	3	b.	b.	PROPN
fumecheng-8241	271	4	,	,	PUNCT
fumecheng-8241	271	5	pohit	pohit	ADJ
fumecheng-8241	271	6	,	,	PUNCT
fumecheng-8241	271	7	g.	g.	PROPN
fumecheng-8241	271	8	,	,	PUNCT
fumecheng-8241	271	9	2018	2018	NUM
fumecheng-8241	271	10	,	,	PUNCT
fumecheng-8241	271	11	effect	effect	NOUN
fumecheng-8241	271	12	of	of	ADP
fumecheng-8241	271	13	cracks	crack	NOUN
fumecheng-8241	271	14	on	on	ADP
fumecheng-8241	271	15	nonlinear	nonlinear	ADJ
fumecheng-8241	271	16	flexural	flexural	ADJ
fumecheng-8241	271	17	vibration	vibration	NOUN
fumecheng-8241	271	18	of	of	ADP
fumecheng-8241	271	19	rotating	rotate	VERB
fumecheng-8241	271	20	timoshenko	timoshenko	NOUN
fumecheng-8241	271	21	functionally	functionally	ADV
fumecheng-8241	271	22	graded	grade	VERB
fumecheng-8241	271	23	material	material	NOUN
fumecheng-8241	271	24	beam	beam	NOUN
fumecheng-8241	271	25	having	have	VERB
fumecheng-8241	271	26	large	large	ADJ
fumecheng-8241	271	27	amplitude	amplitude	NOUN
fumecheng-8241	271	28	motion	motion	NOUN
fumecheng-8241	271	29	,	,	PUNCT
fumecheng-8241	271	30	proceedings	proceeding	NOUN
fumecheng-8241	271	31	of	of	ADP
fumecheng-8241	271	32	the	the	DET
fumecheng-8241	271	33	institution	institution	NOUN
fumecheng-8241	271	34	of	of	ADP
fumecheng-8241	271	35	mechanical	mechanical	ADJ
fumecheng-8241	271	36	engineers	engineer	NOUN
fumecheng-8241	271	37	,	,	PUNCT
fumecheng-8241	271	38	part	part	NOUN
fumecheng-8241	271	39	c	c	NOUN
fumecheng-8241	271	40	:	:	PUNCT
fumecheng-8241	271	41	journal	journal	NOUN
fumecheng-8241	271	42	of	of	ADP
fumecheng-8241	271	43	mechanical	mechanical	ADJ
fumecheng-8241	271	44	engineering	engineering	NOUN
fumecheng-8241	271	45	science	science	NOUN
fumecheng-8241	271	46	,	,	PUNCT
fumecheng-8241	271	47	232(6	232(6	NUM
fumecheng-8241	271	48	)	)	PUNCT
fumecheng-8241	271	49	,	,	PUNCT
fumecheng-8241	271	50	pp	pp	ADP
fumecheng-8241	271	51	.	.	PUNCT
fumecheng-8241	272	1	930	930	NUM
fumecheng-8241	272	2	-	-	SYM
fumecheng-8241	272	3	940	940	NUM
fumecheng-8241	272	4	.	.	PUNCT
fumecheng-8241	273	1	15	15	NUM
fumecheng-8241	273	2	.	.	PUNCT
fumecheng-8241	274	1	kitipornchai	kitipornchai	PROPN
fumecheng-8241	274	2	,	,	PUNCT
fumecheng-8241	274	3	s.	s.	PROPN
fumecheng-8241	274	4	,	,	PUNCT
fumecheng-8241	274	5	ke	ke	PROPN
fumecheng-8241	274	6	,	,	PUNCT
fumecheng-8241	274	7	l.	l.	PROPN
fumecheng-8241	274	8	,	,	PUNCT
fumecheng-8241	274	9	yang	yang	PROPN
fumecheng-8241	274	10	,	,	PUNCT
fumecheng-8241	274	11	j.	j.	PROPN
fumecheng-8241	274	12	,	,	PUNCT
fumecheng-8241	274	13	xiang	xiang	PROPN
fumecheng-8241	274	14	,	,	PUNCT
fumecheng-8241	274	15	y.	y.	PROPN
fumecheng-8241	274	16	,	,	PUNCT
fumecheng-8241	274	17	2009	2009	NUM
fumecheng-8241	274	18	,	,	PUNCT
fumecheng-8241	274	19	nonlinear	nonlinear	ADJ
fumecheng-8241	274	20	vibration	vibration	NOUN
fumecheng-8241	274	21	of	of	ADP
fumecheng-8241	274	22	edge	edge	NOUN
fumecheng-8241	274	23	cracked	crack	VERB
fumecheng-8241	274	24	functionally	functionally	ADV
fumecheng-8241	274	25	graded	grade	VERB
fumecheng-8241	274	26	timoshenko	timoshenko	ADJ
fumecheng-8241	274	27	beams	beam	NOUN
fumecheng-8241	274	28	,	,	PUNCT
fumecheng-8241	274	29	journal	journal	NOUN
fumecheng-8241	274	30	of	of	ADP
fumecheng-8241	274	31	sound	sound	NOUN
fumecheng-8241	274	32	and	and	CCONJ
fumecheng-8241	274	33	vibration	vibration	NOUN
fumecheng-8241	274	34	,	,	PUNCT
fumecheng-8241	274	35	324(3	324(3	NUM
fumecheng-8241	274	36	-	-	SYM
fumecheng-8241	274	37	5	5	NUM
fumecheng-8241	274	38	)	)	PUNCT
fumecheng-8241	274	39	,	,	PUNCT
fumecheng-8241	274	40	pp	pp	ADP
fumecheng-8241	274	41	.	.	PUNCT
fumecheng-8241	275	1	962	962	NUM
fumecheng-8241	275	2	-	-	SYM
fumecheng-8241	275	3	982	982	NUM
fumecheng-8241	275	4	.	.	PUNCT
fumecheng-8241	276	1	16	16	NUM
fumecheng-8241	276	2	.	.	PUNCT
fumecheng-8241	277	1	afshari	afshari	PROPN
fumecheng-8241	277	2	,	,	PUNCT
fumecheng-8241	277	3	m.	m.	NOUN
fumecheng-8241	277	4	,	,	PUNCT
fumecheng-8241	277	5	inman	inman	PROPN
fumecheng-8241	277	6	,	,	PUNCT
fumecheng-8241	277	7	d.j	d.j	PROPN
fumecheng-8241	277	8	.	.	PROPN
fumecheng-8241	277	9	,	,	PUNCT
fumecheng-8241	277	10	2013	2013	NUM
fumecheng-8241	277	11	,	,	PUNCT
fumecheng-8241	277	12	continuous	continuous	ADJ
fumecheng-8241	277	13	crack	crack	NOUN
fumecheng-8241	277	14	modeling	modeling	NOUN
fumecheng-8241	277	15	in	in	ADP
fumecheng-8241	277	16	piezoelectrically	piezoelectrically	ADV
fumecheng-8241	277	17	driven	drive	VERB
fumecheng-8241	277	18	vibrations	vibration	NOUN
fumecheng-8241	277	19	of	of	ADP
fumecheng-8241	277	20	an	an	DET
fumecheng-8241	277	21	euler	euler	NOUN
fumecheng-8241	277	22	–	–	PUNCT
fumecheng-8241	277	23	bernoulli	bernoulli	NOUN
fumecheng-8241	277	24	beam	beam	NOUN
fumecheng-8241	277	25	,	,	PUNCT
fumecheng-8241	277	26	journal	journal	NOUN
fumecheng-8241	277	27	of	of	ADP
fumecheng-8241	277	28	vibration	vibration	NOUN
fumecheng-8241	277	29	and	and	CCONJ
fumecheng-8241	277	30	control	control	NOUN
fumecheng-8241	277	31	,	,	PUNCT
fumecheng-8241	277	32	19(3	19(3	NUM
fumecheng-8241	277	33	)	)	PUNCT
fumecheng-8241	277	34	,	,	PUNCT
fumecheng-8241	277	35	pp	pp	ADP
fumecheng-8241	277	36	.	.	PUNCT
fumecheng-8241	278	1	341	341	NUM
fumecheng-8241	278	2	-	-	SYM
fumecheng-8241	278	3	355	355	NUM
fumecheng-8241	278	4	.	.	PUNCT
fumecheng-8241	279	1	analytic	analytic	ADJ
fumecheng-8241	279	2	approximate	approximate	ADJ
fumecheng-8241	279	3	solution	solution	NOUN
fumecheng-8241	279	4	for	for	ADP
fumecheng-8241	279	5	nonlinear	nonlinear	ADJ
fumecheng-8241	279	6	dynamic	dynamic	ADJ
fumecheng-8241	279	7	analysis	analysis	NOUN
fumecheng-8241	279	8	of	of	ADP
fumecheng-8241	279	9	rotating	rotate	VERB
fumecheng-8241	279	10	elastic	elastic	ADJ
fumecheng-8241	279	11	beam	beam	NOUN
fumecheng-8241	279	12	17	17	NUM
fumecheng-8241	279	13	17	17	NUM
fumecheng-8241	279	14	.	.	PUNCT
fumecheng-8241	280	1	panchore	panchore	PROPN
fumecheng-8241	280	2	,	,	PUNCT
fumecheng-8241	280	3	v.	v.	PROPN
fumecheng-8241	280	4	,	,	PUNCT
fumecheng-8241	280	5	ganguli	ganguli	PROPN
fumecheng-8241	280	6	,	,	PUNCT
fumecheng-8241	280	7	r.	r.	PROPN
fumecheng-8241	280	8	,	,	PUNCT
fumecheng-8241	280	9	2018	2018	NUM
fumecheng-8241	280	10	,	,	PUNCT
fumecheng-8241	280	11	quadratic	quadratic	ADJ
fumecheng-8241	280	12	b	b	NOUN
fumecheng-8241	280	13	-	-	PUNCT
fumecheng-8241	280	14	spline	spline	ADJ
fumecheng-8241	280	15	finite	finite	PROPN
fumecheng-8241	280	16	element	element	NOUN
fumecheng-8241	280	17	method	method	NOUN
fumecheng-8241	280	18	for	for	ADP
fumecheng-8241	280	19	a	a	DET
fumecheng-8241	280	20	rotating	rotate	VERB
fumecheng-8241	280	21	nonuniform	nonuniform	NOUN
fumecheng-8241	280	22	euler	euler	NOUN
fumecheng-8241	280	23	–	–	PUNCT
fumecheng-8241	280	24	bernoulli	bernoulli	NOUN
fumecheng-8241	280	25	beam	beam	NOUN
fumecheng-8241	280	26	,	,	PUNCT
fumecheng-8241	280	27	international	international	ADJ
fumecheng-8241	280	28	journal	journal	NOUN
fumecheng-8241	280	29	for	for	ADP
fumecheng-8241	280	30	computational	computational	ADJ
fumecheng-8241	280	31	methods	method	NOUN
fumecheng-8241	280	32	in	in	ADP
fumecheng-8241	280	33	engineering	engineering	NOUN
fumecheng-8241	280	34	science	science	NOUN
fumecheng-8241	280	35	and	and	CCONJ
fumecheng-8241	280	36	mechanics	mechanic	NOUN
fumecheng-8241	280	37	,	,	PUNCT
fumecheng-8241	280	38	19(5	19(5	NUM
fumecheng-8241	280	39	)	)	PUNCT
fumecheng-8241	280	40	,	,	PUNCT
fumecheng-8241	280	41	pp	pp	ADP
fumecheng-8241	280	42	.	.	PUNCT
fumecheng-8241	281	1	340	340	NUM
fumecheng-8241	281	2	-	-	SYM
fumecheng-8241	281	3	350	350	NUM
fumecheng-8241	281	4	.	.	PUNCT
fumecheng-8241	282	1	18	18	NUM
fumecheng-8241	282	2	.	.	PUNCT
fumecheng-8241	283	1	latalski	latalski	PROPN
fumecheng-8241	283	2	,	,	PUNCT
fumecheng-8241	283	3	j.	j.	PROPN
fumecheng-8241	283	4	,	,	PUNCT
fumecheng-8241	283	5	warminski	warminski	NOUN
fumecheng-8241	283	6	,	,	PUNCT
fumecheng-8241	283	7	j.	j.	PROPN
fumecheng-8241	283	8	,	,	PUNCT
fumecheng-8241	283	9	rega	rega	PROPN
fumecheng-8241	283	10	,	,	PUNCT
fumecheng-8241	283	11	g.	g.	PROPN
fumecheng-8241	283	12	,	,	PUNCT
fumecheng-8241	283	13	2017	2017	NUM
fumecheng-8241	283	14	,	,	PUNCT
fumecheng-8241	283	15	bending	bend	VERB
fumecheng-8241	283	16	–	–	PUNCT
fumecheng-8241	283	17	twisting	twist	VERB
fumecheng-8241	283	18	vibrations	vibration	NOUN
fumecheng-8241	283	19	of	of	ADP
fumecheng-8241	283	20	a	a	DET
fumecheng-8241	283	21	rotating	rotate	VERB
fumecheng-8241	283	22	hub	hub	NOUN
fumecheng-8241	283	23	–	–	PUNCT
fumecheng-8241	283	24	thin	thin	ADJ
fumecheng-8241	283	25	-	-	PUNCT
fumecheng-8241	283	26	walled	walled	ADJ
fumecheng-8241	283	27	composite	composite	ADJ
fumecheng-8241	283	28	beam	beam	NOUN
fumecheng-8241	283	29	system	system	NOUN
fumecheng-8241	283	30	,	,	PUNCT
fumecheng-8241	283	31	mathematics	mathematic	NOUN
fumecheng-8241	283	32	and	and	CCONJ
fumecheng-8241	283	33	mechanics	mechanic	NOUN
fumecheng-8241	283	34	of	of	ADP
fumecheng-8241	283	35	solids	solid	NOUN
fumecheng-8241	283	36	,	,	PUNCT
fumecheng-8241	283	37	22(6	22(6	NUM
fumecheng-8241	283	38	)	)	PUNCT
fumecheng-8241	283	39	,	,	PUNCT
fumecheng-8241	283	40	pp	pp	ADP
fumecheng-8241	283	41	.	.	PUNCT
fumecheng-8241	284	1	1303	1303	NUM
fumecheng-8241	284	2	-	-	SYM
fumecheng-8241	284	3	1325	1325	NUM
fumecheng-8241	284	4	.	.	PUNCT
fumecheng-8241	285	1	19	19	NUM
fumecheng-8241	285	2	.	.	PUNCT
fumecheng-8241	285	3	zeng	zeng	PROPN
fumecheng-8241	285	4	,	,	PUNCT
fumecheng-8241	285	5	j.	j.	PROPN
fumecheng-8241	285	6	,	,	PUNCT
fumecheng-8241	285	7	ma	ma	PROPN
fumecheng-8241	285	8	,	,	PUNCT
fumecheng-8241	285	9	h.	h.	PROPN
fumecheng-8241	285	10	,	,	PUNCT
fumecheng-8241	285	11	yu	yu	PROPN
fumecheng-8241	285	12	,	,	PUNCT
fumecheng-8241	285	13	k.	k.	PROPN
fumecheng-8241	285	14	,	,	PUNCT
fumecheng-8241	285	15	xu	xu	PROPN
fumecheng-8241	285	16	,	,	PUNCT
fumecheng-8241	285	17	z.	z.	PROPN
fumecheng-8241	285	18	,	,	PUNCT
fumecheng-8241	285	19	wen	wen	PROPN
fumecheng-8241	285	20	,	,	PUNCT
fumecheng-8241	285	21	b.	b.	PROPN
fumecheng-8241	285	22	,	,	PUNCT
fumecheng-8241	285	23	2019	2019	NUM
fumecheng-8241	285	24	,	,	PUNCT
fumecheng-8241	285	25	coupled	couple	VERB
fumecheng-8241	285	26	flapwise	flapwise	NOUN
fumecheng-8241	285	27	-	-	PUNCT
fumecheng-8241	285	28	chordwise	chordwise	NOUN
fumecheng-8241	285	29	-	-	PUNCT
fumecheng-8241	285	30	axial	axial	ADJ
fumecheng-8241	285	31	-	-	PUNCT
fumecheng-8241	285	32	torsional	torsional	NOUN
fumecheng-8241	285	33	dynamic	dynamic	ADJ
fumecheng-8241	285	34	responses	response	NOUN
fumecheng-8241	285	35	of	of	ADP
fumecheng-8241	285	36	rotating	rotate	VERB
fumecheng-8241	285	37	pre	pre	ADJ
fumecheng-8241	285	38	-	-	ADJ
fumecheng-8241	285	39	twisted	twisted	ADJ
fumecheng-8241	285	40	and	and	CCONJ
fumecheng-8241	285	41	inclined	inclined	ADJ
fumecheng-8241	285	42	cantilever	cantilever	NOUN
fumecheng-8241	285	43	beams	beam	NOUN
fumecheng-8241	285	44	subject	subject	ADJ
fumecheng-8241	285	45	to	to	ADP
fumecheng-8241	285	46	the	the	DET
fumecheng-8241	285	47	base	base	NOUN
fumecheng-8241	285	48	excitation	excitation	NOUN
fumecheng-8241	285	49	,	,	PUNCT
fumecheng-8241	285	50	applied	apply	VERB
fumecheng-8241	285	51	mathematics	mathematic	NOUN
fumecheng-8241	285	52	and	and	CCONJ
fumecheng-8241	285	53	mechanics	mechanic	NOUN
fumecheng-8241	285	54	,	,	PUNCT
fumecheng-8241	285	55	40(8	40(8	NUM
fumecheng-8241	285	56	)	)	PUNCT
fumecheng-8241	285	57	,	,	PUNCT
fumecheng-8241	285	58	pp	pp	ADP
fumecheng-8241	285	59	.	.	PUNCT
fumecheng-8241	285	60	1053	1053	NUM
fumecheng-8241	285	61	-	-	SYM
fumecheng-8241	285	62	1082	1082	NUM
fumecheng-8241	285	63	.	.	PUNCT
fumecheng-8241	286	1	20	20	NUM
fumecheng-8241	286	2	.	.	PUNCT
fumecheng-8241	286	3	gawryluk	gawryluk	PROPN
fumecheng-8241	286	4	,	,	PUNCT
fumecheng-8241	286	5	j.	j.	PROPN
fumecheng-8241	286	6	,	,	PUNCT
fumecheng-8241	286	7	mitura	mitura	NOUN
fumecheng-8241	286	8	,	,	PUNCT
fumecheng-8241	286	9	a.	a.	NOUN
fumecheng-8241	286	10	,	,	PUNCT
fumecheng-8241	286	11	teter	teter	PROPN
fumecheng-8241	286	12	,	,	PUNCT
fumecheng-8241	286	13	a.	a.	NOUN
fumecheng-8241	286	14	,	,	PUNCT
fumecheng-8241	286	15	2019	2019	NUM
fumecheng-8241	286	16	,	,	PUNCT
fumecheng-8241	286	17	dynamic	dynamic	ADJ
fumecheng-8241	286	18	response	response	NOUN
fumecheng-8241	286	19	of	of	ADP
fumecheng-8241	286	20	a	a	DET
fumecheng-8241	286	21	composite	composite	ADJ
fumecheng-8241	286	22	beam	beam	NOUN
fumecheng-8241	286	23	rotating	rotate	VERB
fumecheng-8241	286	24	at	at	ADP
fumecheng-8241	286	25	constant	constant	ADJ
fumecheng-8241	286	26	speed	speed	NOUN
fumecheng-8241	286	27	caused	cause	VERB
fumecheng-8241	286	28	by	by	ADP
fumecheng-8241	286	29	harmonic	harmonic	ADJ
fumecheng-8241	286	30	excitation	excitation	NOUN
fumecheng-8241	286	31	with	with	ADP
fumecheng-8241	286	32	mfc	mfc	PROPN
fumecheng-8241	286	33	actuator	actuator	NOUN
fumecheng-8241	286	34	,	,	PUNCT
fumecheng-8241	286	35	composite	composite	ADJ
fumecheng-8241	286	36	structures	structure	NOUN
fumecheng-8241	286	37	,	,	PUNCT
fumecheng-8241	286	38	210	210	NUM
fumecheng-8241	286	39	,	,	PUNCT
fumecheng-8241	286	40	pp	pp	ADJ
fumecheng-8241	286	41	.	.	PUNCT
fumecheng-8241	287	1	657	657	NUM
fumecheng-8241	287	2	-	-	SYM
fumecheng-8241	287	3	662	662	NUM
fumecheng-8241	287	4	.	.	PUNCT
fumecheng-8241	288	1	21	21	NUM
fumecheng-8241	288	2	.	.	PUNCT
fumecheng-8241	289	1	dibble	dibble	ADJ
fumecheng-8241	289	2	,	,	PUNCT
fumecheng-8241	289	3	r.	r.	PROPN
fumecheng-8241	289	4	,	,	PUNCT
fumecheng-8241	289	5	ondra	ondra	PROPN
fumecheng-8241	289	6	,	,	PUNCT
fumecheng-8241	289	7	v.	v.	PROPN
fumecheng-8241	289	8	,	,	PUNCT
fumecheng-8241	289	9	woods	woods	PROPN
fumecheng-8241	289	10	,	,	PUNCT
fumecheng-8241	289	11	b.k	b.k	NOUN
fumecheng-8241	289	12	.	.	PROPN
fumecheng-8241	289	13	,	,	PUNCT
fumecheng-8241	289	14	titurus	titurus	PROPN
fumecheng-8241	289	15	,	,	PUNCT
fumecheng-8241	289	16	b.	b.	PROPN
fumecheng-8241	289	17	,	,	PUNCT
fumecheng-8241	289	18	2019	2019	NUM
fumecheng-8241	289	19	,	,	PUNCT
fumecheng-8241	289	20	aeroelastic	aeroelastic	ADJ
fumecheng-8241	289	21	eigenvalue	eigenvalue	NOUN
fumecheng-8241	289	22	analysis	analysis	NOUN
fumecheng-8241	289	23	of	of	ADP
fumecheng-8241	289	24	a	a	DET
fumecheng-8241	289	25	variable	variable	ADJ
fumecheng-8241	289	26	speed	speed	NOUN
fumecheng-8241	289	27	rotor	rotor	NOUN
fumecheng-8241	289	28	blade	blade	NOUN
fumecheng-8241	289	29	with	with	ADP
fumecheng-8241	289	30	an	an	DET
fumecheng-8241	289	31	applied	apply	VERB
fumecheng-8241	289	32	compressive	compressive	ADJ
fumecheng-8241	289	33	load	load	NOUN
fumecheng-8241	289	34	,	,	PUNCT
fumecheng-8241	289	35	in	in	ADP
fumecheng-8241	289	36	aiaa	aiaa	ADJ
fumecheng-8241	289	37	scitech	scitech	PROPN
fumecheng-8241	289	38	2019	2019	NUM
fumecheng-8241	289	39	forum	forum	NOUN
fumecheng-8241	289	40	.	.	PUNCT
fumecheng-8241	290	1	22	22	NUM
fumecheng-8241	290	2	.	.	PUNCT
fumecheng-8241	291	1	chen	chen	PROPN
fumecheng-8241	291	2	,	,	PUNCT
fumecheng-8241	291	3	j.	j.	PROPN
fumecheng-8241	291	4	,	,	PUNCT
fumecheng-8241	291	5	li	li	PROPN
fumecheng-8241	291	6	,	,	PUNCT
fumecheng-8241	291	7	q.-s	q.-	NOUN
fumecheng-8241	291	8	.	.	PROPN
fumecheng-8241	291	9	,	,	PUNCT
fumecheng-8241	291	10	2019	2019	NUM
fumecheng-8241	291	11	,	,	PUNCT
fumecheng-8241	291	12	vibration	vibration	NOUN
fumecheng-8241	291	13	characteristics	characteristic	NOUN
fumecheng-8241	291	14	of	of	ADP
fumecheng-8241	291	15	a	a	DET
fumecheng-8241	291	16	rotating	rotate	VERB
fumecheng-8241	291	17	pre	pre	ADJ
fumecheng-8241	291	18	-	-	ADJ
fumecheng-8241	291	19	twisted	twisted	ADJ
fumecheng-8241	291	20	composite	composite	ADJ
fumecheng-8241	291	21	laminated	laminate	VERB
fumecheng-8241	291	22	blade	blade	NOUN
fumecheng-8241	291	23	,	,	PUNCT
fumecheng-8241	291	24	composite	composite	ADJ
fumecheng-8241	291	25	structures	structure	NOUN
fumecheng-8241	291	26	,	,	PUNCT
fumecheng-8241	291	27	208	208	NUM
fumecheng-8241	291	28	,	,	PUNCT
fumecheng-8241	291	29	pp	pp	ADJ
fumecheng-8241	291	30	.	.	PUNCT
fumecheng-8241	292	1	78	78	NUM
fumecheng-8241	292	2	-	-	SYM
fumecheng-8241	292	3	90	90	NUM
fumecheng-8241	292	4	.	.	PUNCT
fumecheng-8241	293	1	23	23	NUM
fumecheng-8241	293	2	.	.	PUNCT
fumecheng-8241	294	1	adair	adair	PROPN
fumecheng-8241	294	2	,	,	PUNCT
fumecheng-8241	294	3	d.	d.	PROPN
fumecheng-8241	294	4	,	,	PUNCT
fumecheng-8241	294	5	jaeger	jaeger	NOUN
fumecheng-8241	294	6	,	,	PUNCT
fumecheng-8241	294	7	m.	m.	NOUN
fumecheng-8241	294	8	,	,	PUNCT
fumecheng-8241	294	9	2018	2018	NUM
fumecheng-8241	294	10	,	,	PUNCT
fumecheng-8241	294	11	a	a	DET
fumecheng-8241	294	12	power	power	NOUN
fumecheng-8241	294	13	series	series	NOUN
fumecheng-8241	294	14	solution	solution	NOUN
fumecheng-8241	294	15	for	for	ADP
fumecheng-8241	294	16	rotating	rotate	VERB
fumecheng-8241	294	17	nonuniform	nonuniform	NOUN
fumecheng-8241	294	18	euler	euler	NOUN
fumecheng-8241	294	19	–	–	PUNCT
fumecheng-8241	294	20	bernoulli	bernoulli	PROPN
fumecheng-8241	294	21	cantilever	cantilever	NOUN
fumecheng-8241	294	22	beams	beam	NOUN
fumecheng-8241	294	23	,	,	PUNCT
fumecheng-8241	294	24	journal	journal	NOUN
fumecheng-8241	294	25	of	of	ADP
fumecheng-8241	294	26	vibration	vibration	NOUN
fumecheng-8241	294	27	and	and	CCONJ
fumecheng-8241	294	28	control	control	NOUN
fumecheng-8241	294	29	,	,	PUNCT
fumecheng-8241	294	30	24(17	24(17	NUM
fumecheng-8241	294	31	)	)	PUNCT
fumecheng-8241	294	32	,	,	PUNCT
fumecheng-8241	294	33	pp	pp	ADJ
fumecheng-8241	294	34	.	.	PUNCT
fumecheng-8241	295	1	3855	3855	NUM
fumecheng-8241	295	2	-	-	SYM
fumecheng-8241	295	3	3864	3864	NUM
fumecheng-8241	295	4	.	.	PUNCT
fumecheng-8241	296	1	24	24	NUM
fumecheng-8241	296	2	.	.	PUNCT
fumecheng-8241	297	1	castillo	castillo	PROPN
fumecheng-8241	297	2	-	-	PUNCT
fumecheng-8241	297	3	rivera	rivera	PROPN
fumecheng-8241	297	4	,	,	PUNCT
fumecheng-8241	297	5	s.	s.	PROPN
fumecheng-8241	297	6	,	,	PUNCT
fumecheng-8241	297	7	tomas	tomas	PROPN
fumecheng-8241	297	8	-	-	PUNCT
fumecheng-8241	297	9	rodriguez	rodriguez	NOUN
fumecheng-8241	297	10	,	,	PUNCT
fumecheng-8241	297	11	m.	m.	NOUN
fumecheng-8241	297	12	,	,	PUNCT
fumecheng-8241	297	13	2018	2018	NUM
fumecheng-8241	297	14	,	,	PUNCT
fumecheng-8241	297	15	helicopter	helicopter	NOUN
fumecheng-8241	297	16	modelling	modelling	NOUN
fumecheng-8241	297	17	and	and	CCONJ
fumecheng-8241	297	18	study	study	NOUN
fumecheng-8241	297	19	of	of	ADP
fumecheng-8241	297	20	the	the	DET
fumecheng-8241	297	21	accelerated	accelerated	ADJ
fumecheng-8241	297	22	rotor	rotor	NOUN
fumecheng-8241	297	23	,	,	PUNCT
fumecheng-8241	297	24	advances	advance	NOUN
fumecheng-8241	297	25	in	in	ADP
fumecheng-8241	297	26	engineering	engineering	NOUN
fumecheng-8241	297	27	software	software	NOUN
fumecheng-8241	297	28	,	,	PUNCT
fumecheng-8241	297	29	115	115	NUM
fumecheng-8241	297	30	,	,	PUNCT
fumecheng-8241	297	31	pp	pp	ADJ
fumecheng-8241	297	32	.	.	PUNCT
fumecheng-8241	298	1	52	52	NUM
fumecheng-8241	298	2	-	-	SYM
fumecheng-8241	298	3	65	65	NUM
fumecheng-8241	298	4	.	.	PUNCT
fumecheng-8241	299	1	25	25	NUM
fumecheng-8241	299	2	.	.	PUNCT
fumecheng-8241	299	3	adair	adair	PROPN
fumecheng-8241	299	4	,	,	PUNCT
fumecheng-8241	299	5	d.	d.	PROPN
fumecheng-8241	299	6	,	,	PUNCT
fumecheng-8241	299	7	jaeger	jaeger	NOUN
fumecheng-8241	299	8	,	,	PUNCT
fumecheng-8241	299	9	m.	m.	NOUN
fumecheng-8241	299	10	,	,	PUNCT
fumecheng-8241	299	11	2019	2019	NUM
fumecheng-8241	299	12	,	,	PUNCT
fumecheng-8241	299	13	efficient	efficient	ADJ
fumecheng-8241	299	14	calculation	calculation	NOUN
fumecheng-8241	299	15	of	of	ADP
fumecheng-8241	299	16	the	the	DET
fumecheng-8241	299	17	hingeless	hingeless	NOUN
fumecheng-8241	299	18	rotor	rotor	NOUN
fumecheng-8241	299	19	blade	blade	NOUN
fumecheng-8241	299	20	flap	flap	NOUN
fumecheng-8241	299	21	-	-	PUNCT
fumecheng-8241	299	22	lag	lag	NOUN
fumecheng-8241	299	23	-	-	PUNCT
fumecheng-8241	299	24	torsion	torsion	NOUN
fumecheng-8241	299	25	dynamics	dynamic	NOUN
fumecheng-8241	299	26	for	for	ADP
fumecheng-8241	299	27	helicopters	helicopter	NOUN
fumecheng-8241	299	28	,	,	PUNCT
fumecheng-8241	299	29	in	in	ADP
fumecheng-8241	299	30	aiaa	aiaa	ADJ
fumecheng-8241	299	31	scitech	scitech	PROPN
fumecheng-8241	299	32	2019	2019	NUM
fumecheng-8241	299	33	forum	forum	NOUN
fumecheng-8241	299	34	.	.	PUNCT
fumecheng-8241	300	1	26	26	NUM
fumecheng-8241	300	2	.	.	PUNCT
fumecheng-8241	301	1	hieu	hieu	PROPN
fumecheng-8241	301	2	,	,	PUNCT
fumecheng-8241	301	3	d.v	d.v	PROPN
fumecheng-8241	301	4	.	.	PROPN
fumecheng-8241	301	5	,	,	PUNCT
fumecheng-8241	301	6	chan	chan	PROPN
fumecheng-8241	301	7	,	,	PUNCT
fumecheng-8241	301	8	d.q	d.q	PROPN
fumecheng-8241	301	9	.	.	PROPN
fumecheng-8241	301	10	,	,	PUNCT
fumecheng-8241	301	11	sedighi	sedighi	PROPN
fumecheng-8241	301	12	,	,	PUNCT
fumecheng-8241	301	13	h.m	h.m	PROPN
fumecheng-8241	301	14	.	.	PROPN
fumecheng-8241	301	15	,	,	PUNCT
fumecheng-8241	301	16	2021	2021	NUM
fumecheng-8241	301	17	,	,	PUNCT
fumecheng-8241	301	18	nonlinear	nonlinear	ADJ
fumecheng-8241	301	19	bending	bending	NOUN
fumecheng-8241	301	20	,	,	PUNCT
fumecheng-8241	301	21	buckling	buckling	NOUN
fumecheng-8241	301	22	and	and	CCONJ
fumecheng-8241	301	23	vibration	vibration	NOUN
fumecheng-8241	301	24	of	of	ADP
fumecheng-8241	301	25	functionally	functionally	ADV
fumecheng-8241	301	26	graded	grade	VERB
fumecheng-8241	301	27	nonlocal	nonlocal	ADJ
fumecheng-8241	301	28	strain	strain	NOUN
fumecheng-8241	301	29	gradient	gradient	NOUN
fumecheng-8241	301	30	nanobeams	nanobeam	NOUN
fumecheng-8241	301	31	resting	rest	VERB
fumecheng-8241	301	32	on	on	ADP
fumecheng-8241	301	33	an	an	DET
fumecheng-8241	301	34	elastic	elastic	ADJ
fumecheng-8241	301	35	foundation	foundation	NOUN
fumecheng-8241	301	36	,	,	PUNCT
fumecheng-8241	301	37	journal	journal	NOUN
fumecheng-8241	301	38	of	of	ADP
fumecheng-8241	301	39	mechanics	mechanic	NOUN
fumecheng-8241	301	40	of	of	ADP
fumecheng-8241	301	41	materials	material	NOUN
fumecheng-8241	301	42	and	and	CCONJ
fumecheng-8241	301	43	structures	structure	NOUN
fumecheng-8241	301	44	,	,	PUNCT
fumecheng-8241	301	45	16(3	16(3	NOUN
fumecheng-8241	301	46	)	)	PUNCT
fumecheng-8241	301	47	,	,	PUNCT
fumecheng-8241	301	48	pp	pp	PROPN
fumecheng-8241	301	49	.	.	PUNCT
fumecheng-8241	302	1	327	327	NUM
fumecheng-8241	302	2	-	-	SYM
fumecheng-8241	302	3	346	346	NUM
fumecheng-8241	302	4	.	.	PUNCT
fumecheng-8241	303	1	27	27	NUM
fumecheng-8241	303	2	.	.	X
fumecheng-8241	303	3	sedighi	sedighi	PROPN
fumecheng-8241	303	4	,	,	PUNCT
fumecheng-8241	303	5	h.m	h.m	PROPN
fumecheng-8241	303	6	.	.	PROPN
fumecheng-8241	303	7	,	,	PUNCT
fumecheng-8241	303	8	shirazi	shirazi	PROPN
fumecheng-8241	303	9	,	,	PUNCT
fumecheng-8241	303	10	k.	k.	PROPN
fumecheng-8241	303	11	,	,	PUNCT
fumecheng-8241	303	12	noghrehabadi	noghrehabadi	PROPN
fumecheng-8241	303	13	,	,	PUNCT
fumecheng-8241	303	14	a.	a.	PROPN
fumecheng-8241	303	15	,	,	PUNCT
fumecheng-8241	303	16	yildirim	yildirim	PROPN
fumecheng-8241	303	17	,	,	PUNCT
fumecheng-8241	303	18	a.	a.	PROPN
fumecheng-8241	303	19	,	,	PUNCT
fumecheng-8241	303	20	2012	2012	NUM
fumecheng-8241	303	21	,	,	PUNCT
fumecheng-8241	303	22	asymptotic	asymptotic	ADJ
fumecheng-8241	303	23	investigation	investigation	NOUN
fumecheng-8241	303	24	of	of	ADP
fumecheng-8241	303	25	buckled	buckled	ADJ
fumecheng-8241	303	26	beam	beam	NOUN
fumecheng-8241	303	27	nonlinear	nonlinear	ADJ
fumecheng-8241	303	28	vibration	vibration	NOUN
fumecheng-8241	303	29	,	,	PUNCT
fumecheng-8241	303	30	iranian	iranian	ADJ
fumecheng-8241	303	31	journal	journal	PROPN
fumecheng-8241	303	32	of	of	ADP
fumecheng-8241	303	33	science	science	NOUN
fumecheng-8241	303	34	and	and	CCONJ
fumecheng-8241	303	35	technology	technology	NOUN
fumecheng-8241	303	36	,	,	PUNCT
fumecheng-8241	303	37	transactions	transaction	NOUN
fumecheng-8241	303	38	of	of	ADP
fumecheng-8241	303	39	mechanical	mechanical	ADJ
fumecheng-8241	303	40	engineering	engineering	NOUN
fumecheng-8241	303	41	,	,	PUNCT
fumecheng-8241	303	42	36(m2	36(m2	NUM
fumecheng-8241	303	43	)	)	PUNCT
fumecheng-8241	303	44	,	,	PUNCT
fumecheng-8241	303	45	pp	pp	ADP
fumecheng-8241	303	46	.	.	PUNCT
fumecheng-8241	304	1	107	107	NUM
fumecheng-8241	304	2	-	-	SYM
fumecheng-8241	304	3	116	116	NUM
fumecheng-8241	304	4	.	.	PUNCT
fumecheng-8241	305	1	28	28	NUM
fumecheng-8241	305	2	.	.	PUNCT
fumecheng-8241	306	1	he	he	PRON
fumecheng-8241	306	2	,	,	PUNCT
fumecheng-8241	306	3	j.-h	j.-h	PROPN
fumecheng-8241	306	4	.	.	PUNCT
fumecheng-8241	306	5	,	,	PUNCT
fumecheng-8241	306	6	hou	hou	PROPN
fumecheng-8241	306	7	,	,	PUNCT
fumecheng-8241	306	8	w.-f	w.-f	PROPN
fumecheng-8241	306	9	.	.	PUNCT
fumecheng-8241	306	10	,	,	PUNCT
fumecheng-8241	306	11	qie	qie	PROPN
fumecheng-8241	306	12	,	,	PUNCT
fumecheng-8241	306	13	n.	n.	NOUN
fumecheng-8241	306	14	,	,	PUNCT
fumecheng-8241	306	15	gepreel	gepreel	ADJ
fumecheng-8241	306	16	,	,	PUNCT
fumecheng-8241	306	17	k.a	k.a	PROPN
fumecheng-8241	306	18	.	.	PROPN
fumecheng-8241	306	19	,	,	PUNCT
fumecheng-8241	306	20	shirazi	shirazi	PROPN
fumecheng-8241	306	21	,	,	PUNCT
fumecheng-8241	306	22	a.h	a.h	PROPN
fumecheng-8241	306	23	.	.	PROPN
fumecheng-8241	306	24	,	,	PUNCT
fumecheng-8241	306	25	mohammad	mohammad	PROPN
fumecheng-8241	306	26	-	-	PUNCT
fumecheng-8241	306	27	sedighi	sedighi	PROPN
fumecheng-8241	306	28	,	,	PUNCT
fumecheng-8241	306	29	h.	h.	PROPN
fumecheng-8241	306	30	,	,	PUNCT
fumecheng-8241	306	31	2021	2021	NUM
fumecheng-8241	306	32	,	,	PUNCT
fumecheng-8241	306	33	hamiltonian	hamiltonian	NOUN
fumecheng-8241	306	34	-	-	PUNCT
fumecheng-8241	306	35	based	base	VERB
fumecheng-8241	306	36	frequency	frequency	NOUN
fumecheng-8241	306	37	-	-	PUNCT
fumecheng-8241	306	38	amplitude	amplitude	NOUN
fumecheng-8241	306	39	formulation	formulation	NOUN
fumecheng-8241	306	40	for	for	ADP
fumecheng-8241	306	41	nonlinear	nonlinear	ADJ
fumecheng-8241	306	42	oscillators	oscillator	NOUN
fumecheng-8241	306	43	,	,	PUNCT
fumecheng-8241	306	44	facta	facta	PROPN
fumecheng-8241	306	45	universitatis	universitatis	PROPN
fumecheng-8241	306	46	.	.	PUNCT
fumecheng-8241	307	1	series	series	PROPN
fumecheng-8241	307	2	:	:	PUNCT
fumecheng-8241	307	3	mechanical	mechanical	ADJ
fumecheng-8241	307	4	engineering	engineering	NOUN
fumecheng-8241	307	5	,	,	PUNCT
fumecheng-8241	307	6	19(2	19(2	NUM
fumecheng-8241	307	7	)	)	PUNCT
fumecheng-8241	307	8	,	,	PUNCT
fumecheng-8241	308	1	pp	pp	PROPN
fumecheng-8241	308	2	.	.	PUNCT
fumecheng-8241	309	1	199	199	NUM
fumecheng-8241	309	2	-	-	SYM
fumecheng-8241	309	3	208	208	NUM
fumecheng-8241	309	4	.	.	PUNCT
fumecheng-8241	310	1	29	29	NUM
fumecheng-8241	310	2	.	.	X
fumecheng-8241	310	3	akbarzade	akbarzade	PROPN
fumecheng-8241	310	4	,	,	PUNCT
fumecheng-8241	310	5	m.	m.	NOUN
fumecheng-8241	310	6	,	,	PUNCT
fumecheng-8241	310	7	farshidianfar	farshidianfar	ADV
fumecheng-8241	310	8	,	,	PUNCT
fumecheng-8241	310	9	a.	a.	NOUN
fumecheng-8241	310	10	,	,	PUNCT
fumecheng-8241	310	11	2017	2017	NUM
fumecheng-8241	310	12	,	,	PUNCT
fumecheng-8241	310	13	nonlinear	nonlinear	ADJ
fumecheng-8241	310	14	transversely	transversely	ADV
fumecheng-8241	310	15	vibrating	vibrating	NOUN
fumecheng-8241	310	16	beams	beam	NOUN
fumecheng-8241	310	17	by	by	ADP
fumecheng-8241	310	18	the	the	DET
fumecheng-8241	310	19	improved	improve	VERB
fumecheng-8241	310	20	energy	energy	NOUN
fumecheng-8241	310	21	balance	balance	NOUN
fumecheng-8241	310	22	method	method	NOUN
fumecheng-8241	310	23	and	and	CCONJ
fumecheng-8241	310	24	the	the	DET
fumecheng-8241	310	25	global	global	ADJ
fumecheng-8241	310	26	residue	residue	NOUN
fumecheng-8241	310	27	harmonic	harmonic	ADJ
fumecheng-8241	310	28	balance	balance	NOUN
fumecheng-8241	310	29	method	method	NOUN
fumecheng-8241	310	30	,	,	PUNCT
fumecheng-8241	310	31	applied	apply	VERB
fumecheng-8241	310	32	mathematical	mathematical	ADJ
fumecheng-8241	310	33	modelling	modelling	NOUN
fumecheng-8241	310	34	,	,	PUNCT
fumecheng-8241	310	35	45	45	NUM
fumecheng-8241	310	36	,	,	PUNCT
fumecheng-8241	310	37	pp	pp	ADJ
fumecheng-8241	310	38	.	.	PUNCT
fumecheng-8241	311	1	393	393	NUM
fumecheng-8241	311	2	-	-	SYM
fumecheng-8241	311	3	404	404	NUM
fumecheng-8241	311	4	.	.	PUNCT
fumecheng-8241	312	1	30	30	NUM
fumecheng-8241	312	2	.	.	PUNCT
fumecheng-8241	313	1	ebrahimi	ebrahimi	PROPN
fumecheng-8241	313	2	,	,	PUNCT
fumecheng-8241	313	3	f.	f.	PROPN
fumecheng-8241	313	4	,	,	PUNCT
fumecheng-8241	313	5	zia	zia	PROPN
fumecheng-8241	313	6	,	,	PUNCT
fumecheng-8241	313	7	m.	m.	NOUN
fumecheng-8241	313	8	,	,	PUNCT
fumecheng-8241	313	9	2015	2015	NUM
fumecheng-8241	313	10	,	,	PUNCT
fumecheng-8241	313	11	large	large	ADJ
fumecheng-8241	313	12	amplitude	amplitude	NOUN
fumecheng-8241	313	13	nonlinear	nonlinear	ADJ
fumecheng-8241	313	14	vibration	vibration	NOUN
fumecheng-8241	313	15	analysis	analysis	NOUN
fumecheng-8241	313	16	of	of	ADP
fumecheng-8241	313	17	functionally	functionally	ADV
fumecheng-8241	313	18	graded	grade	VERB
fumecheng-8241	313	19	timoshenko	timoshenko	NOUN
fumecheng-8241	313	20	beams	beam	NOUN
fumecheng-8241	313	21	with	with	ADP
fumecheng-8241	313	22	porosities	porosity	NOUN
fumecheng-8241	313	23	,	,	PUNCT
fumecheng-8241	313	24	acta	acta	PROPN
fumecheng-8241	313	25	astronautica	astronautica	PROPN
fumecheng-8241	313	26	,	,	PUNCT
fumecheng-8241	313	27	116	116	NUM
fumecheng-8241	313	28	,	,	PUNCT
fumecheng-8241	313	29	pp	pp	ADJ
fumecheng-8241	313	30	.	.	PUNCT
fumecheng-8241	314	1	117	117	NUM
fumecheng-8241	314	2	-	-	SYM
fumecheng-8241	314	3	125	125	NUM
fumecheng-8241	314	4	.	.	PUNCT
fumecheng-8241	315	1	31	31	NUM
fumecheng-8241	315	2	.	.	PUNCT
fumecheng-8241	316	1	jena	jena	PROPN
fumecheng-8241	316	2	,	,	PUNCT
fumecheng-8241	316	3	s.k	s.k	PROPN
fumecheng-8241	316	4	.	.	PROPN
fumecheng-8241	316	5	,	,	PUNCT
fumecheng-8241	316	6	chakraverty	chakraverty	PROPN
fumecheng-8241	316	7	,	,	PUNCT
fumecheng-8241	316	8	s.	s.	PROPN
fumecheng-8241	316	9	,	,	PUNCT
fumecheng-8241	316	10	2018	2018	NUM
fumecheng-8241	316	11	,	,	PUNCT
fumecheng-8241	316	12	free	free	ADJ
fumecheng-8241	316	13	vibration	vibration	NOUN
fumecheng-8241	316	14	analysis	analysis	NOUN
fumecheng-8241	316	15	of	of	ADP
fumecheng-8241	316	16	euler	euler	NOUN
fumecheng-8241	316	17	–	–	PUNCT
fumecheng-8241	316	18	bernoulli	bernoulli	PROPN
fumecheng-8241	316	19	nanobeam	nanobeam	NOUN
fumecheng-8241	316	20	using	use	VERB
fumecheng-8241	316	21	differential	differential	ADJ
fumecheng-8241	316	22	transform	transform	NOUN
fumecheng-8241	316	23	method	method	NOUN
fumecheng-8241	316	24	,	,	PUNCT
fumecheng-8241	316	25	international	international	ADJ
fumecheng-8241	316	26	journal	journal	NOUN
fumecheng-8241	316	27	of	of	ADP
fumecheng-8241	316	28	computational	computational	ADJ
fumecheng-8241	316	29	materials	material	NOUN
fumecheng-8241	316	30	science	science	NOUN
fumecheng-8241	316	31	and	and	CCONJ
fumecheng-8241	316	32	engineering	engineering	NOUN
fumecheng-8241	316	33	,	,	PUNCT
fumecheng-8241	316	34	7(03	7(03	NUM
fumecheng-8241	316	35	)	)	PUNCT
fumecheng-8241	316	36	,	,	PUNCT
fumecheng-8241	316	37	1850020	1850020	NUM
fumecheng-8241	316	38	.	.	PUNCT
fumecheng-8241	317	1	32	32	NUM
fumecheng-8241	317	2	.	.	PUNCT
fumecheng-8241	318	1	ansari	ansari	PROPN
fumecheng-8241	318	2	,	,	PUNCT
fumecheng-8241	318	3	r.	r.	PROPN
fumecheng-8241	318	4	,	,	PUNCT
fumecheng-8241	318	5	gholami	gholami	PROPN
fumecheng-8241	318	6	,	,	PUNCT
fumecheng-8241	318	7	r.	r.	PROPN
fumecheng-8241	318	8	,	,	PUNCT
fumecheng-8241	318	9	rouhi	rouhi	NOUN
fumecheng-8241	318	10	,	,	PUNCT
fumecheng-8241	318	11	h.	h.	NOUN
fumecheng-8241	318	12	,	,	PUNCT
fumecheng-8241	318	13	2019	2019	NUM
fumecheng-8241	318	14	,	,	PUNCT
fumecheng-8241	318	15	geometrically	geometrically	ADV
fumecheng-8241	318	16	nonlinear	nonlinear	VERB
fumecheng-8241	318	17	free	free	ADJ
fumecheng-8241	318	18	vibration	vibration	NOUN
fumecheng-8241	318	19	analysis	analysis	NOUN
fumecheng-8241	318	20	of	of	ADP
fumecheng-8241	318	21	shear	shear	ADJ
fumecheng-8241	318	22	deformable	deformable	ADJ
fumecheng-8241	318	23	magneto	magneto	NOUN
fumecheng-8241	318	24	-	-	PUNCT
fumecheng-8241	318	25	electro	electro	ADJ
fumecheng-8241	318	26	-	-	PUNCT
fumecheng-8241	318	27	elastic	elastic	ADJ
fumecheng-8241	318	28	plates	plate	NOUN
fumecheng-8241	318	29	considering	consider	VERB
fumecheng-8241	318	30	thermal	thermal	ADJ
fumecheng-8241	318	31	effects	effect	NOUN
fumecheng-8241	318	32	based	base	VERB
fumecheng-8241	318	33	on	on	ADP
fumecheng-8241	318	34	a	a	DET
fumecheng-8241	318	35	novel	novel	ADJ
fumecheng-8241	318	36	variational	variational	ADJ
fumecheng-8241	318	37	approach	approach	NOUN
fumecheng-8241	318	38	,	,	PUNCT
fumecheng-8241	318	39	thin	thin	ADJ
fumecheng-8241	318	40	-	-	PUNCT
fumecheng-8241	318	41	walled	walled	ADJ
fumecheng-8241	318	42	structures	structure	NOUN
fumecheng-8241	318	43	,	,	PUNCT
fumecheng-8241	318	44	135	135	NUM
fumecheng-8241	318	45	,	,	PUNCT
fumecheng-8241	318	46	pp	pp	ADJ
fumecheng-8241	318	47	.	.	PUNCT
fumecheng-8241	319	1	12	12	NUM
fumecheng-8241	319	2	-	-	SYM
fumecheng-8241	319	3	20	20	NUM
fumecheng-8241	319	4	.	.	PUNCT
fumecheng-8241	320	1	33	33	NUM
fumecheng-8241	320	2	.	.	PUNCT
fumecheng-8241	320	3	sadet	sadet	NOUN
fumecheng-8241	320	4	,	,	PUNCT
fumecheng-8241	320	5	j.	j.	PROPN
fumecheng-8241	320	6	,	,	PUNCT
fumecheng-8241	320	7	massa	massa	PROPN
fumecheng-8241	320	8	,	,	PUNCT
fumecheng-8241	320	9	f.	f.	PROPN
fumecheng-8241	320	10	,	,	PUNCT
fumecheng-8241	320	11	tison	tison	NOUN
fumecheng-8241	320	12	,	,	PUNCT
fumecheng-8241	320	13	t.	t.	PROPN
fumecheng-8241	320	14	,	,	PUNCT
fumecheng-8241	320	15	turpin	turpin	PROPN
fumecheng-8241	320	16	,	,	PUNCT
fumecheng-8241	320	17	i.	i.	PROPN
fumecheng-8241	320	18	,	,	PUNCT
fumecheng-8241	320	19	lallemand	lallemand	PROPN
fumecheng-8241	320	20	,	,	PUNCT
fumecheng-8241	320	21	b.	b.	PROPN
fumecheng-8241	320	22	,	,	PUNCT
fumecheng-8241	320	23	talbi	talbi	PROPN
fumecheng-8241	320	24	,	,	PUNCT
fumecheng-8241	320	25	e.-g	e.-g	PROPN
fumecheng-8241	320	26	.	.	PROPN
fumecheng-8241	320	27	,	,	PUNCT
fumecheng-8241	320	28	2021	2021	NUM
fumecheng-8241	320	29	,	,	PUNCT
fumecheng-8241	320	30	homotopy	homotopy	VERB
fumecheng-8241	320	31	perturbation	perturbation	NOUN
fumecheng-8241	320	32	technique	technique	NOUN
fumecheng-8241	320	33	for	for	ADP
fumecheng-8241	320	34	improving	improve	VERB
fumecheng-8241	320	35	solutions	solution	NOUN
fumecheng-8241	320	36	of	of	ADP
fumecheng-8241	320	37	large	large	ADJ
fumecheng-8241	320	38	quadratic	quadratic	ADJ
fumecheng-8241	320	39	eigenvalue	eigenvalue	NOUN
fumecheng-8241	320	40	problems	problem	NOUN
fumecheng-8241	320	41	:	:	PUNCT
fumecheng-8241	320	42	application	application	NOUN
fumecheng-8241	320	43	to	to	ADP
fumecheng-8241	320	44	frictioninduced	frictioninduced	ADJ
fumecheng-8241	320	45	vibration	vibration	NOUN
fumecheng-8241	320	46	,	,	PUNCT
fumecheng-8241	320	47	mechanical	mechanical	ADJ
fumecheng-8241	320	48	systems	system	NOUN
fumecheng-8241	320	49	and	and	CCONJ
fumecheng-8241	320	50	signal	signal	PROPN
fumecheng-8241	320	51	processing	processing	NOUN
fumecheng-8241	320	52	,	,	PUNCT
fumecheng-8241	320	53	153	153	NUM
fumecheng-8241	320	54	,	,	PUNCT
fumecheng-8241	320	55	107492	107492	NUM
fumecheng-8241	320	56	.	.	PUNCT
fumecheng-8241	321	1	34	34	NUM
fumecheng-8241	321	2	.	.	PUNCT
fumecheng-8241	321	3	huang	huang	PROPN
fumecheng-8241	321	4	,	,	PUNCT
fumecheng-8241	321	5	x.	x.	PROPN
fumecheng-8241	321	6	,	,	PUNCT
fumecheng-8241	321	7	zhang	zhang	PROPN
fumecheng-8241	321	8	,	,	PUNCT
fumecheng-8241	321	9	y.	y.	PROPN
fumecheng-8241	321	10	,	,	PUNCT
fumecheng-8241	321	11	moradi	moradi	NOUN
fumecheng-8241	321	12	,	,	PUNCT
fumecheng-8241	321	13	z.	z.	PROPN
fumecheng-8241	321	14	,	,	PUNCT
fumecheng-8241	321	15	shafiei	shafiei	PROPN
fumecheng-8241	321	16	,	,	PUNCT
fumecheng-8241	321	17	n.	n.	NOUN
fumecheng-8241	321	18	,	,	PUNCT
fumecheng-8241	321	19	2021	2021	NUM
fumecheng-8241	321	20	,	,	PUNCT
fumecheng-8241	321	21	computer	computer	NOUN
fumecheng-8241	321	22	simulation	simulation	NOUN
fumecheng-8241	321	23	via	via	ADP
fumecheng-8241	321	24	a	a	DET
fumecheng-8241	321	25	couple	couple	NOUN
fumecheng-8241	321	26	of	of	ADP
fumecheng-8241	321	27	homotopy	homotopy	NOUN
fumecheng-8241	321	28	perturbation	perturbation	NOUN
fumecheng-8241	321	29	methods	method	NOUN
fumecheng-8241	321	30	and	and	CCONJ
fumecheng-8241	321	31	the	the	DET
fumecheng-8241	321	32	generalized	generalized	ADJ
fumecheng-8241	321	33	differential	differential	ADJ
fumecheng-8241	321	34	quadrature	quadrature	NOUN
fumecheng-8241	321	35	method	method	NOUN
fumecheng-8241	321	36	for	for	ADP
fumecheng-8241	321	37	nonlinear	nonlinear	ADJ
fumecheng-8241	321	38	vibration	vibration	NOUN
fumecheng-8241	321	39	of	of	ADP
fumecheng-8241	321	40	functionally	functionally	ADV
fumecheng-8241	321	41	graded	grade	VERB
fumecheng-8241	321	42	non	non	ADJ
fumecheng-8241	321	43	-	-	ADJ
fumecheng-8241	321	44	uniform	uniform	ADJ
fumecheng-8241	321	45	micro	micro	NOUN
fumecheng-8241	321	46	-	-	NOUN
fumecheng-8241	321	47	tube	tube	ADJ
fumecheng-8241	321	48	,	,	PUNCT
fumecheng-8241	321	49	engineering	engineering	NOUN
fumecheng-8241	321	50	with	with	ADP
fumecheng-8241	321	51	computers	computer	NOUN
fumecheng-8241	321	52	,	,	PUNCT
fumecheng-8241	321	53	38(3	38(3	NUM
fumecheng-8241	321	54	)	)	PUNCT
fumecheng-8241	321	55	,	,	PUNCT
fumecheng-8241	321	56	pp	pp	ADJ
fumecheng-8241	321	57	.	.	PUNCT
fumecheng-8241	322	1	2481	2481	NUM
fumecheng-8241	322	2	-	-	SYM
fumecheng-8241	322	3	2498	2498	NUM
fumecheng-8241	322	4	.	.	PUNCT
fumecheng-8241	323	1	35	35	NUM
fumecheng-8241	323	2	.	.	PUNCT
fumecheng-8241	324	1	he	he	PRON
fumecheng-8241	324	2	,	,	PUNCT
fumecheng-8241	324	3	j.-h	j.-h	PROPN
fumecheng-8241	324	4	.	.	PROPN
fumecheng-8241	324	5	,	,	PUNCT
fumecheng-8241	324	6	el	el	PROPN
fumecheng-8241	324	7	-	-	PUNCT
fumecheng-8241	324	8	dib	dib	PROPN
fumecheng-8241	324	9	,	,	PUNCT
fumecheng-8241	324	10	y.o	y.o	PROPN
fumecheng-8241	324	11	.	.	PROPN
fumecheng-8241	324	12	,	,	PUNCT
fumecheng-8241	324	13	mady	mady	PROPN
fumecheng-8241	324	14	,	,	PUNCT
fumecheng-8241	324	15	a.a	a.a	PROPN
fumecheng-8241	324	16	.	.	PROPN
fumecheng-8241	324	17	,	,	PUNCT
fumecheng-8241	324	18	2021	2021	NUM
fumecheng-8241	324	19	,	,	PUNCT
fumecheng-8241	324	20	homotopy	homotopy	VERB
fumecheng-8241	324	21	perturbation	perturbation	NOUN
fumecheng-8241	324	22	method	method	NOUN
fumecheng-8241	324	23	for	for	ADP
fumecheng-8241	324	24	the	the	DET
fumecheng-8241	324	25	fractal	fractal	ADJ
fumecheng-8241	324	26	toda	toda	PROPN
fumecheng-8241	324	27	oscillator	oscillator	PROPN
fumecheng-8241	324	28	,	,	PUNCT
fumecheng-8241	324	29	fractal	fractal	ADJ
fumecheng-8241	324	30	and	and	CCONJ
fumecheng-8241	324	31	fractional	fractional	ADJ
fumecheng-8241	324	32	,	,	PUNCT
fumecheng-8241	324	33	5(3	5(3	NUM
fumecheng-8241	324	34	)	)	PUNCT
fumecheng-8241	324	35	,	,	PUNCT
fumecheng-8241	324	36	93	93	NUM
fumecheng-8241	324	37	.	.	PUNCT
fumecheng-8241	325	1	36	36	NUM
fumecheng-8241	325	2	.	.	PUNCT
fumecheng-8241	326	1	he	he	PRON
fumecheng-8241	326	2	,	,	PUNCT
fumecheng-8241	326	3	j.h	j.h	PROPN
fumecheng-8241	326	4	.	.	PROPN
fumecheng-8241	326	5	,	,	PUNCT
fumecheng-8241	326	6	el‐dib	el‐dib	X
fumecheng-8241	326	7	,	,	PUNCT
fumecheng-8241	326	8	y.o	y.o	PROPN
fumecheng-8241	326	9	.	.	PROPN
fumecheng-8241	326	10	,	,	PUNCT
fumecheng-8241	326	11	2021	2021	NUM
fumecheng-8241	326	12	,	,	PUNCT
fumecheng-8241	326	13	the	the	DET
fumecheng-8241	326	14	reducing	reduce	VERB
fumecheng-8241	326	15	rank	rank	NOUN
fumecheng-8241	326	16	method	method	NOUN
fumecheng-8241	326	17	to	to	PART
fumecheng-8241	326	18	solve	solve	VERB
fumecheng-8241	326	19	third‐order	third‐order	NOUN
fumecheng-8241	326	20	duffing	duffe	VERB
fumecheng-8241	326	21	equation	equation	NOUN
fumecheng-8241	326	22	with	with	ADP
fumecheng-8241	326	23	the	the	DET
fumecheng-8241	326	24	homotopy	homotopy	NOUN
fumecheng-8241	326	25	perturbation	perturbation	NOUN
fumecheng-8241	326	26	,	,	PUNCT
fumecheng-8241	326	27	numerical	numerical	ADJ
fumecheng-8241	326	28	methods	method	NOUN
fumecheng-8241	326	29	for	for	ADP
fumecheng-8241	326	30	partial	partial	ADJ
fumecheng-8241	326	31	differential	differential	NOUN
fumecheng-8241	326	32	equations	equation	NOUN
fumecheng-8241	326	33	,	,	PUNCT
fumecheng-8241	326	34	37(2	37(2	PRON
fumecheng-8241	326	35	)	)	PUNCT
fumecheng-8241	326	36	,	,	PUNCT
fumecheng-8241	326	37	pp	pp	PROPN
fumecheng-8241	326	38	.	.	PUNCT
fumecheng-8241	326	39	1800	1800	NUM
fumecheng-8241	326	40	-	-	SYM
fumecheng-8241	326	41	1808	1808	NUM
fumecheng-8241	326	42	.	.	PUNCT
fumecheng-8241	327	1	37	37	NUM
fumecheng-8241	327	2	.	.	X
fumecheng-8241	327	3	ali	ali	PROPN
fumecheng-8241	327	4	,	,	PUNCT
fumecheng-8241	327	5	m.	m.	NOUN
fumecheng-8241	327	6	,	,	PUNCT
fumecheng-8241	327	7	anjum	anjum	PROPN
fumecheng-8241	327	8	,	,	PUNCT
fumecheng-8241	327	9	n.	n.	PROPN
fumecheng-8241	327	10	,	,	PUNCT
fumecheng-8241	327	11	ain	ain	PROPN
fumecheng-8241	327	12	,	,	PUNCT
fumecheng-8241	327	13	q.t	q.t	PROPN
fumecheng-8241	327	14	.	.	PROPN
fumecheng-8241	327	15	,	,	PUNCT
fumecheng-8241	327	16	he	he	PRON
fumecheng-8241	327	17	,	,	PUNCT
fumecheng-8241	327	18	j.-h	j.-h	PROPN
fumecheng-8241	327	19	.	.	PROPN
fumecheng-8241	327	20	,	,	PUNCT
fumecheng-8241	327	21	2021	2021	NUM
fumecheng-8241	327	22	,	,	PUNCT
fumecheng-8241	327	23	homotopy	homotopy	VERB
fumecheng-8241	327	24	perturbation	perturbation	NOUN
fumecheng-8241	327	25	method	method	NOUN
fumecheng-8241	327	26	for	for	ADP
fumecheng-8241	327	27	the	the	DET
fumecheng-8241	327	28	attachment	attachment	NOUN
fumecheng-8241	327	29	oscillator	oscillator	NOUN
fumecheng-8241	327	30	arising	arise	VERB
fumecheng-8241	327	31	in	in	ADP
fumecheng-8241	327	32	nanotechnology	nanotechnology	NOUN
fumecheng-8241	327	33	,	,	PUNCT
fumecheng-8241	327	34	fibers	fiber	NOUN
fumecheng-8241	327	35	and	and	CCONJ
fumecheng-8241	327	36	polymers	polymer	NOUN
fumecheng-8241	327	37	,	,	PUNCT
fumecheng-8241	327	38	22(6	22(6	NUM
fumecheng-8241	327	39	)	)	PUNCT
fumecheng-8241	327	40	,	,	PUNCT
fumecheng-8241	327	41	pp	pp	PROPN
fumecheng-8241	327	42	.	.	PUNCT
fumecheng-8241	328	1	1601	1601	NUM
fumecheng-8241	328	2	-	-	SYM
fumecheng-8241	328	3	1606	1606	NUM
fumecheng-8241	328	4	.	.	PUNCT
fumecheng-8241	329	1	38	38	NUM
fumecheng-8241	329	2	.	.	PUNCT
fumecheng-8241	330	1	li	li	PROPN
fumecheng-8241	330	2	,	,	PUNCT
fumecheng-8241	330	3	x.-x	x.-x	PROPN
fumecheng-8241	330	4	.	.	PUNCT
fumecheng-8241	330	5	,	,	PUNCT
fumecheng-8241	330	6	he	he	PRON
fumecheng-8241	330	7	,	,	PUNCT
fumecheng-8241	330	8	c.-h	c.-h	PROPN
fumecheng-8241	330	9	.	.	PROPN
fumecheng-8241	330	10	,	,	PUNCT
fumecheng-8241	330	11	2019	2019	NUM
fumecheng-8241	330	12	,	,	PUNCT
fumecheng-8241	330	13	homotopy	homotopy	VERB
fumecheng-8241	330	14	perturbation	perturbation	NOUN
fumecheng-8241	330	15	method	method	NOUN
fumecheng-8241	330	16	coupled	couple	VERB
fumecheng-8241	330	17	with	with	ADP
fumecheng-8241	330	18	the	the	DET
fumecheng-8241	330	19	enhanced	enhanced	ADJ
fumecheng-8241	330	20	perturbation	perturbation	NOUN
fumecheng-8241	330	21	method	method	NOUN
fumecheng-8241	330	22	,	,	PUNCT
fumecheng-8241	330	23	journal	journal	NOUN
fumecheng-8241	330	24	of	of	ADP
fumecheng-8241	330	25	low	low	ADJ
fumecheng-8241	330	26	frequency	frequency	NOUN
fumecheng-8241	330	27	noise	noise	NOUN
fumecheng-8241	330	28	,	,	PUNCT
fumecheng-8241	330	29	vibration	vibration	NOUN
fumecheng-8241	330	30	and	and	CCONJ
fumecheng-8241	330	31	active	active	ADJ
fumecheng-8241	330	32	control	control	NOUN
fumecheng-8241	330	33	,	,	PUNCT
fumecheng-8241	330	34	38(3	38(3	NUM
fumecheng-8241	330	35	-	-	SYM
fumecheng-8241	330	36	4	4	NUM
fumecheng-8241	330	37	)	)	PUNCT
fumecheng-8241	330	38	,	,	PUNCT
fumecheng-8241	330	39	pp	pp	ADP
fumecheng-8241	330	40	.	.	PUNCT
fumecheng-8241	331	1	1399	1399	NUM
fumecheng-8241	331	2	-	-	SYM
fumecheng-8241	331	3	1403	1403	NUM
fumecheng-8241	331	4	.	.	PUNCT
fumecheng-8241	332	1	39	39	NUM
fumecheng-8241	332	2	.	.	PUNCT
fumecheng-8241	333	1	anjum	anjum	PROPN
fumecheng-8241	333	2	,	,	PUNCT
fumecheng-8241	333	3	n.	n.	PROPN
fumecheng-8241	333	4	,	,	PUNCT
fumecheng-8241	333	5	he	he	PRON
fumecheng-8241	333	6	,	,	PUNCT
fumecheng-8241	333	7	j.-h	j.-h	PROPN
fumecheng-8241	333	8	.	.	PROPN
fumecheng-8241	333	9	,	,	PUNCT
fumecheng-8241	333	10	ain	ain	PROPN
fumecheng-8241	333	11	,	,	PUNCT
fumecheng-8241	333	12	q.t	q.t	PROPN
fumecheng-8241	333	13	.	.	PROPN
fumecheng-8241	333	14	,	,	PUNCT
fumecheng-8241	333	15	tian	tian	PROPN
fumecheng-8241	333	16	,	,	PUNCT
fumecheng-8241	333	17	d.	d.	PROPN
fumecheng-8241	333	18	,	,	PUNCT
fumecheng-8241	333	19	2021	2021	NUM
fumecheng-8241	333	20	,	,	PUNCT
fumecheng-8241	333	21	li	li	PROPN
fumecheng-8241	333	22	-	-	PROPN
fumecheng-8241	333	23	he	he	PRON
fumecheng-8241	333	24	’s	’	VERB
fumecheng-8241	333	25	modified	modify	VERB
fumecheng-8241	333	26	homotopy	homotopy	NOUN
fumecheng-8241	333	27	perturbation	perturbation	NOUN
fumecheng-8241	333	28	method	method	NOUN
fumecheng-8241	333	29	for	for	ADP
fumecheng-8241	333	30	doubly	doubly	ADV
fumecheng-8241	333	31	-	-	PUNCT
fumecheng-8241	333	32	clamped	clamp	VERB
fumecheng-8241	333	33	electrically	electrically	ADV
fumecheng-8241	333	34	actuated	actuate	VERB
fumecheng-8241	333	35	microbeams	microbeam	NOUN
fumecheng-8241	333	36	-	-	PUNCT
fumecheng-8241	333	37	based	base	VERB
fumecheng-8241	333	38	microelectromechanical	microelectromechanical	ADJ
fumecheng-8241	333	39	system	system	NOUN
fumecheng-8241	333	40	,	,	PUNCT
fumecheng-8241	333	41	facta	facta	PROPN
fumecheng-8241	333	42	universitatis	universitatis	PROPN
fumecheng-8241	333	43	.	.	PUNCT
fumecheng-8241	334	1	series	series	PROPN
fumecheng-8241	334	2	:	:	PUNCT
fumecheng-8241	334	3	mechanical	mechanical	ADJ
fumecheng-8241	334	4	engineering	engineering	NOUN
fumecheng-8241	334	5	,	,	PUNCT
fumecheng-8241	334	6	19(4	19(4	PROPN
fumecheng-8241	334	7	)	)	PUNCT
fumecheng-8241	334	8	,	,	PUNCT
fumecheng-8241	335	1	pp	pp	PROPN
fumecheng-8241	335	2	.	.	PUNCT
fumecheng-8241	336	1	601	601	NUM
fumecheng-8241	336	2	-	-	NOUN
fumecheng-8241	336	3	612	612	NUM
fumecheng-8241	336	4	.	.	PUNCT
fumecheng-8241	337	1	40	40	NUM
fumecheng-8241	337	2	.	.	PUNCT
fumecheng-8241	338	1	farzaneh	farzaneh	PROPN
fumecheng-8241	338	2	,	,	PUNCT
fumecheng-8241	338	3	y.	y.	PROPN
fumecheng-8241	338	4	,	,	PUNCT
fumecheng-8241	338	5	tootoonchi	tootoonchi	PROPN
fumecheng-8241	338	6	,	,	PUNCT
fumecheng-8241	338	7	a.a	a.a	PROPN
fumecheng-8241	338	8	.	.	PROPN
fumecheng-8241	338	9	,	,	PUNCT
fumecheng-8241	338	10	2010	2010	NUM
fumecheng-8241	338	11	,	,	PUNCT
fumecheng-8241	338	12	global	global	ADJ
fumecheng-8241	338	13	error	error	NOUN
fumecheng-8241	338	14	minimization	minimization	NOUN
fumecheng-8241	338	15	method	method	NOUN
fumecheng-8241	338	16	for	for	ADP
fumecheng-8241	338	17	solving	solve	VERB
fumecheng-8241	338	18	strongly	strongly	ADV
fumecheng-8241	338	19	nonlinear	nonlinear	ADJ
fumecheng-8241	338	20	oscillator	oscillator	NOUN
fumecheng-8241	338	21	differential	differential	NOUN
fumecheng-8241	338	22	equations	equation	NOUN
fumecheng-8241	338	23	,	,	PUNCT
fumecheng-8241	338	24	computers	computer	NOUN
fumecheng-8241	338	25	&	&	CCONJ
fumecheng-8241	338	26	mathematics	mathematics	PROPN
fumecheng-8241	338	27	with	with	ADP
fumecheng-8241	338	28	applications	application	NOUN
fumecheng-8241	338	29	,	,	PUNCT
fumecheng-8241	338	30	59(8	59(8	NUM
fumecheng-8241	338	31	)	)	PUNCT
fumecheng-8241	338	32	,	,	PUNCT
fumecheng-8241	338	33	pp	pp	ADP
fumecheng-8241	338	34	.	.	PUNCT
fumecheng-8241	339	1	2887	2887	NUM
fumecheng-8241	339	2	-	-	SYM
fumecheng-8241	339	3	2895	2895	NUM
fumecheng-8241	339	4	.	.	PUNCT
fumecheng-8241	340	1	18	18	NUM
fumecheng-8241	340	2	a.	a.	NOUN
fumecheng-8241	340	3	tavakoli	tavakoli	PROPN
fumecheng-8241	340	4	maleki	maleki	NOUN
fumecheng-8241	340	5	,	,	PUNCT
fumecheng-8241	340	6	m.	m.	NOUN
fumecheng-8241	340	7	azimi	azimi	PROPN
fumecheng-8241	340	8	,	,	PUNCT
fumecheng-8241	340	9	s.	s.	PROPN
fumecheng-8241	340	10	moradi	moradi	VERB
fumecheng-8241	340	11	41	41	NUM
fumecheng-8241	340	12	.	.	PUNCT
fumecheng-8241	341	1	he	he	PRON
fumecheng-8241	341	2	,	,	PUNCT
fumecheng-8241	341	3	j.-h	j.-h	PROPN
fumecheng-8241	341	4	.	.	PROPN
fumecheng-8241	341	5	,	,	PUNCT
fumecheng-8241	341	6	2001	2001	NUM
fumecheng-8241	341	7	,	,	PUNCT
fumecheng-8241	341	8	bookkeeping	bookkeeping	NOUN
fumecheng-8241	341	9	parameter	parameter	NOUN
fumecheng-8241	341	10	in	in	ADP
fumecheng-8241	341	11	perturbation	perturbation	NOUN
fumecheng-8241	341	12	methods	method	NOUN
fumecheng-8241	341	13	,	,	PUNCT
fumecheng-8241	341	14	international	international	ADJ
fumecheng-8241	341	15	journal	journal	NOUN
fumecheng-8241	341	16	of	of	ADP
fumecheng-8241	341	17	nonlinear	nonlinear	PROPN
fumecheng-8241	341	18	sciences	sciences	PROPN
fumecheng-8241	341	19	and	and	CCONJ
fumecheng-8241	341	20	numerical	numerical	PROPN
fumecheng-8241	341	21	simulation	simulation	PROPN
fumecheng-8241	341	22	,	,	PUNCT
fumecheng-8241	341	23	2(3	2(3	NUM
fumecheng-8241	341	24	)	)	PUNCT
fumecheng-8241	341	25	,	,	PUNCT
fumecheng-8241	341	26	pp	pp	ADP
fumecheng-8241	341	27	.	.	PUNCT
fumecheng-8241	342	1	257	257	NUM
fumecheng-8241	342	2	-	-	SYM
fumecheng-8241	342	3	264	264	NUM
fumecheng-8241	342	4	.	.	PUNCT
fumecheng-8241	343	1	42	42	NUM
fumecheng-8241	343	2	.	.	PUNCT
fumecheng-8241	344	1	xie	xie	PROPN
fumecheng-8241	344	2	,	,	PUNCT
fumecheng-8241	344	3	k.	k.	PROPN
fumecheng-8241	344	4	,	,	PUNCT
fumecheng-8241	344	5	wang	wang	PROPN
fumecheng-8241	344	6	,	,	PUNCT
fumecheng-8241	344	7	y.	y.	PROPN
fumecheng-8241	344	8	,	,	PUNCT
fumecheng-8241	344	9	niu	niu	PROPN
fumecheng-8241	344	10	,	,	PUNCT
fumecheng-8241	344	11	h.	h.	PROPN
fumecheng-8241	344	12	,	,	PUNCT
fumecheng-8241	344	13	chen	chen	PROPN
fumecheng-8241	344	14	,	,	PUNCT
fumecheng-8241	344	15	h.	h.	PROPN
fumecheng-8241	344	16	,	,	PUNCT
fumecheng-8241	344	17	2020	2020	NUM
fumecheng-8241	344	18	,	,	PUNCT
fumecheng-8241	344	19	large	large	ADJ
fumecheng-8241	344	20	-	-	PUNCT
fumecheng-8241	344	21	amplitude	amplitude	NOUN
fumecheng-8241	344	22	nonlinear	nonlinear	ADJ
fumecheng-8241	344	23	free	free	ADJ
fumecheng-8241	344	24	vibrations	vibration	NOUN
fumecheng-8241	344	25	of	of	ADP
fumecheng-8241	344	26	functionally	functionally	ADV
fumecheng-8241	344	27	graded	grade	VERB
fumecheng-8241	344	28	plates	plate	NOUN
fumecheng-8241	344	29	with	with	ADP
fumecheng-8241	344	30	porous	porous	ADJ
fumecheng-8241	344	31	imperfection	imperfection	NOUN
fumecheng-8241	344	32	:	:	PUNCT
fumecheng-8241	344	33	a	a	DET
fumecheng-8241	344	34	novel	novel	ADJ
fumecheng-8241	344	35	approach	approach	NOUN
fumecheng-8241	344	36	based	base	VERB
fumecheng-8241	344	37	on	on	ADP
fumecheng-8241	344	38	energy	energy	NOUN
fumecheng-8241	344	39	balance	balance	NOUN
fumecheng-8241	344	40	method	method	NOUN
fumecheng-8241	344	41	,	,	PUNCT
fumecheng-8241	344	42	composite	composite	ADJ
fumecheng-8241	344	43	structures	structure	NOUN
fumecheng-8241	344	44	,	,	PUNCT
fumecheng-8241	344	45	246	246	NUM
fumecheng-8241	344	46	,	,	PUNCT
fumecheng-8241	344	47	112367	112367	NUM
fumecheng-8241	344	48	.	.	PUNCT
fumecheng-8241	345	1	43	43	NUM
fumecheng-8241	345	2	.	.	PUNCT
fumecheng-8241	346	1	he	he	PRON
fumecheng-8241	346	2	,	,	PUNCT
fumecheng-8241	346	3	j.-h	j.-h	PROPN
fumecheng-8241	346	4	.	.	PROPN
fumecheng-8241	346	5	,	,	PUNCT
fumecheng-8241	346	6	2019	2019	NUM
fumecheng-8241	346	7	,	,	PUNCT
fumecheng-8241	346	8	the	the	DET
fumecheng-8241	346	9	simplest	simple	ADJ
fumecheng-8241	346	10	approach	approach	NOUN
fumecheng-8241	346	11	to	to	ADP
fumecheng-8241	346	12	nonlinear	nonlinear	ADJ
fumecheng-8241	346	13	oscillators	oscillator	NOUN
fumecheng-8241	346	14	,	,	PUNCT
fumecheng-8241	346	15	results	result	NOUN
fumecheng-8241	346	16	in	in	ADP
fumecheng-8241	346	17	physics	physics	NOUN
fumecheng-8241	346	18	,	,	PUNCT
fumecheng-8241	346	19	15(2019	15(2019	NUM
fumecheng-8241	346	20	)	)	PUNCT
fumecheng-8241	346	21	,	,	PUNCT
fumecheng-8241	346	22	102546	102546	NUM
fumecheng-8241	346	23	.	.	PUNCT
fumecheng-8241	347	1	44	44	NUM
fumecheng-8241	347	2	.	.	X
fumecheng-8241	347	3	rao	rao	PROPN
fumecheng-8241	347	4	,	,	PUNCT
fumecheng-8241	347	5	s.s	s.s	PROPN
fumecheng-8241	347	6	.	.	PROPN
fumecheng-8241	347	7	,	,	PUNCT
fumecheng-8241	347	8	2019	2019	NUM
fumecheng-8241	347	9	,	,	PUNCT
fumecheng-8241	347	10	vibration	vibration	NOUN
fumecheng-8241	347	11	of	of	ADP
fumecheng-8241	347	12	continuous	continuous	ADJ
fumecheng-8241	347	13	systems	system	NOUN
fumecheng-8241	347	14	.	.	PUNCT
fumecheng-8241	348	1	john	john	PROPN
fumecheng-8241	348	2	wiley	wiley	PROPN
fumecheng-8241	348	3	&	&	CCONJ
fumecheng-8241	348	4	sons	son	NOUN
fumecheng-8241	348	5	.	.	PUNCT
fumecheng-8241	349	1	45	45	NUM
fumecheng-8241	349	2	.	.	X
fumecheng-8241	349	3	gounaris	gounaris	PROPN
fumecheng-8241	349	4	,	,	PUNCT
fumecheng-8241	349	5	g.	g.	NOUN
fumecheng-8241	349	6	,	,	PUNCT
fumecheng-8241	349	7	dimarogonas	dimarogona	NOUN
fumecheng-8241	349	8	,	,	PUNCT
fumecheng-8241	349	9	a.	a.	NOUN
fumecheng-8241	349	10	,	,	PUNCT
fumecheng-8241	349	11	1988	1988	NUM
fumecheng-8241	349	12	,	,	PUNCT
fumecheng-8241	349	13	a	a	DET
fumecheng-8241	349	14	finite	finite	ADJ
fumecheng-8241	349	15	element	element	NOUN
fumecheng-8241	349	16	of	of	ADP
fumecheng-8241	349	17	a	a	DET
fumecheng-8241	349	18	cracked	crack	VERB
fumecheng-8241	349	19	prismatic	prismatic	ADJ
fumecheng-8241	349	20	beam	beam	NOUN
fumecheng-8241	349	21	for	for	ADP
fumecheng-8241	349	22	structural	structural	ADJ
fumecheng-8241	349	23	analysis	analysis	NOUN
fumecheng-8241	349	24	,	,	PUNCT
fumecheng-8241	349	25	computers	computer	NOUN
fumecheng-8241	349	26	&	&	CCONJ
fumecheng-8241	349	27	structures	structure	NOUN
fumecheng-8241	349	28	,	,	PUNCT
fumecheng-8241	349	29	28(3	28(3	NUM
fumecheng-8241	349	30	)	)	PUNCT
fumecheng-8241	349	31	,	,	PUNCT
fumecheng-8241	349	32	pp	pp	PROPN
fumecheng-8241	349	33	.	.	PUNCT
fumecheng-8241	350	1	309	309	NUM
fumecheng-8241	350	2	-	-	SYM
fumecheng-8241	350	3	313	313	NUM
fumecheng-8241	350	4	.	.	PUNCT