id	sid	tid	token	lemma	pos
fumecheng-7612	1	1	facta	facta	PROPN
fumecheng-7612	1	2	universitatis	universitatis	PROPN
fumecheng-7612	1	3	series	series	NOUN
fumecheng-7612	1	4	:	:	PUNCT
fumecheng-7612	1	5	mechanical	mechanical	ADJ
fumecheng-7612	1	6	engineering	engineering	NOUN
fumecheng-7612	1	7	vol	vol	NOUN
fumecheng-7612	1	8	.	.	PROPN
fumecheng-7612	2	1	19	19	NUM
fumecheng-7612	2	2	,	,	PUNCT
fumecheng-7612	2	3	no	no	DET
fumecheng-7612	2	4	4	4	NUM
fumecheng-7612	2	5	,	,	PUNCT
fumecheng-7612	2	6	2021	2021	NUM
fumecheng-7612	2	7	,	,	PUNCT
fumecheng-7612	2	8	pp	pp	ADV
fumecheng-7612	2	9	.	.	PUNCT
fumecheng-7612	3	1	781	781	NUM
fumecheng-7612	3	2	804	804	NUM
fumecheng-7612	3	3	https://doi.org/10.22190/fume210324045w	https://doi.org/10.22190/fume210324045w	NOUN
fumecheng-7612	3	4	©	©	PROPN
fumecheng-7612	3	5	2021	2021	NUM
fumecheng-7612	3	6	by	by	ADP
fumecheng-7612	3	7	university	university	PROPN
fumecheng-7612	3	8	of	of	ADP
fumecheng-7612	3	9	niš	niš	PROPN
fumecheng-7612	3	10	,	,	PUNCT
fumecheng-7612	3	11	serbia	serbia	PROPN
fumecheng-7612	3	12	|	|	ADV
fumecheng-7612	3	13	creative	creative	ADJ
fumecheng-7612	3	14	commons	common	NOUN
fumecheng-7612	3	15	license	license	NOUN
fumecheng-7612	3	16	:	:	PUNCT
fumecheng-7612	3	17	cc	cc	VERB
fumecheng-7612	3	18	by	by	ADP
fumecheng-7612	3	19	-	-	PUNCT
fumecheng-7612	3	20	nc	nc	VERB
fumecheng-7612	3	21	-	-	PUNCT
fumecheng-7612	3	22	nd	nd	ADV
fumecheng-7612	3	23	original	original	ADJ
fumecheng-7612	3	24	scientific	scientific	ADJ
fumecheng-7612	3	25	paper	paper	NUM
fumecheng-7612	3	26	study	study	NOUN
fumecheng-7612	3	27	on	on	ADP
fumecheng-7612	3	28	vibration	vibration	NOUN
fumecheng-7612	3	29	response	response	NOUN
fumecheng-7612	3	30	of	of	ADP
fumecheng-7612	3	31	a	a	DET
fumecheng-7612	3	32	non	non	ADJ
fumecheng-7612	3	33	-	-	ADJ
fumecheng-7612	3	34	uniform	uniform	ADJ
fumecheng-7612	3	35	beam	beam	NOUN
fumecheng-7612	3	36	with	with	ADP
fumecheng-7612	3	37	nonlinear	nonlinear	ADJ
fumecheng-7612	3	38	boundary	boundary	ADJ
fumecheng-7612	3	39	condition	condition	NOUN
fumecheng-7612	3	40	peng	peng	PROPN
fumecheng-7612	3	41	wang1	wang1	PROPN
fumecheng-7612	3	42	,	,	PUNCT
fumecheng-7612	3	43	nan	nan	PROPN
fumecheng-7612	3	44	wu2	wu2	PROPN
fumecheng-7612	3	45	,	,	PUNCT
fumecheng-7612	3	46	haitao	haitao	PROPN
fumecheng-7612	3	47	luo3	luo3	PROPN
fumecheng-7612	3	48	,	,	PUNCT
fumecheng-7612	3	49	zhili	zhili	NOUN
fumecheng-7612	3	50	sun1	sun1	PROPN
fumecheng-7612	4	1	1school	1school	NUM
fumecheng-7612	4	2	of	of	ADP
fumecheng-7612	4	3	mechanical	mechanical	ADJ
fumecheng-7612	4	4	engineering	engineering	NOUN
fumecheng-7612	4	5	&	&	CCONJ
fumecheng-7612	4	6	automation	automation	PROPN
fumecheng-7612	4	7	,	,	PUNCT
fumecheng-7612	4	8	northeastern	northeastern	ADJ
fumecheng-7612	4	9	university	university	PROPN
fumecheng-7612	4	10	,	,	PUNCT
fumecheng-7612	4	11	shenyang	shenyang	PROPN
fumecheng-7612	4	12	,	,	PUNCT
fumecheng-7612	4	13	china	china	PROPN
fumecheng-7612	4	14	2school	2school	NUM
fumecheng-7612	4	15	of	of	ADP
fumecheng-7612	4	16	mechanical	mechanical	ADJ
fumecheng-7612	4	17	engineering	engineering	NOUN
fumecheng-7612	4	18	,	,	PUNCT
fumecheng-7612	4	19	university	university	PROPN
fumecheng-7612	4	20	of	of	ADP
fumecheng-7612	4	21	manitoba	manitoba	PROPN
fumecheng-7612	4	22	,	,	PUNCT
fumecheng-7612	4	23	winnipeg	winnipeg	PROPN
fumecheng-7612	4	24	,	,	PUNCT
fumecheng-7612	4	25	canada	canada	PROPN
fumecheng-7612	4	26	3shenyang	3shenyang	PROPN
fumecheng-7612	4	27	institute	institute	PROPN
fumecheng-7612	4	28	of	of	ADP
fumecheng-7612	4	29	automation	automation	NOUN
fumecheng-7612	4	30	,	,	PUNCT
fumecheng-7612	4	31	chinese	chinese	PROPN
fumecheng-7612	4	32	academy	academy	PROPN
fumecheng-7612	4	33	of	of	ADP
fumecheng-7612	4	34	sciences	sciences	PROPN
fumecheng-7612	4	35	,	,	PUNCT
fumecheng-7612	4	36	shenyang	shenyang	PROPN
fumecheng-7612	4	37	,	,	PUNCT
fumecheng-7612	4	38	china	china	PROPN
fumecheng-7612	4	39	abstract	abstract	PROPN
fumecheng-7612	4	40	.	.	PUNCT
fumecheng-7612	5	1	forced	force	VERB
fumecheng-7612	5	2	vibration	vibration	NOUN
fumecheng-7612	5	3	of	of	ADP
fumecheng-7612	5	4	non	non	ADJ
fumecheng-7612	5	5	-	-	ADJ
fumecheng-7612	5	6	uniform	uniform	ADJ
fumecheng-7612	5	7	beam	beam	NOUN
fumecheng-7612	5	8	with	with	ADP
fumecheng-7612	5	9	nonlinear	nonlinear	ADJ
fumecheng-7612	5	10	boundary	boundary	ADJ
fumecheng-7612	5	11	condition	condition	NOUN
fumecheng-7612	5	12	is	be	AUX
fumecheng-7612	5	13	studied	study	VERB
fumecheng-7612	5	14	in	in	ADP
fumecheng-7612	5	15	this	this	DET
fumecheng-7612	5	16	paper	paper	NOUN
fumecheng-7612	5	17	by	by	ADP
fumecheng-7612	5	18	proposing	propose	VERB
fumecheng-7612	5	19	an	an	DET
fumecheng-7612	5	20	iterative	iterative	NOUN
fumecheng-7612	5	21	model	model	NOUN
fumecheng-7612	5	22	combining	combine	VERB
fumecheng-7612	5	23	adomian	adomian	NOUN
fumecheng-7612	5	24	decomposition	decomposition	NOUN
fumecheng-7612	5	25	method	method	NOUN
fumecheng-7612	5	26	and	and	CCONJ
fumecheng-7612	5	27	modal	modal	ADJ
fumecheng-7612	5	28	analysis	analysis	NOUN
fumecheng-7612	5	29	.	.	PUNCT
fumecheng-7612	6	1	an	an	DET
fumecheng-7612	6	2	exponentially	exponentially	ADV
fumecheng-7612	6	3	tapered	taper	VERB
fumecheng-7612	6	4	beam	beam	NOUN
fumecheng-7612	6	5	with	with	ADP
fumecheng-7612	6	6	a	a	DET
fumecheng-7612	6	7	hardening	harden	VERB
fumecheng-7612	6	8	nonlinearity	nonlinearity	NOUN
fumecheng-7612	6	9	spring	spring	NOUN
fumecheng-7612	6	10	boundary	boundary	NOUN
fumecheng-7612	6	11	is	be	AUX
fumecheng-7612	6	12	simulated	simulate	VERB
fumecheng-7612	6	13	as	as	ADP
fumecheng-7612	6	14	a	a	DET
fumecheng-7612	6	15	case	case	NOUN
fumecheng-7612	6	16	study	study	NOUN
fumecheng-7612	6	17	.	.	PUNCT
fumecheng-7612	7	1	the	the	DET
fumecheng-7612	7	2	model	model	NOUN
fumecheng-7612	7	3	accuracy	accuracy	NOUN
fumecheng-7612	7	4	is	be	AUX
fumecheng-7612	7	5	proved	prove	VERB
fumecheng-7612	7	6	by	by	ADP
fumecheng-7612	7	7	comparing	compare	VERB
fumecheng-7612	7	8	iteration	iteration	NOUN
fumecheng-7612	7	9	results	result	NOUN
fumecheng-7612	7	10	and	and	CCONJ
fumecheng-7612	7	11	analysis	analysis	NOUN
fumecheng-7612	7	12	solutions	solution	NOUN
fumecheng-7612	7	13	with	with	ADP
fumecheng-7612	7	14	linear	linear	ADJ
fumecheng-7612	7	15	and	and	CCONJ
fumecheng-7612	7	16	weakly	weakly	ADJ
fumecheng-7612	7	17	nonlinear	nonlinear	ADJ
fumecheng-7612	7	18	boundary	boundary	ADJ
fumecheng-7612	7	19	conditions	condition	NOUN
fumecheng-7612	7	20	.	.	PUNCT
fumecheng-7612	8	1	sin	sin	NOUN
fumecheng-7612	8	2	-	-	PUNCT
fumecheng-7612	8	3	weep	weep	VERB
fumecheng-7612	8	4	nonlinear	nonlinear	ADJ
fumecheng-7612	8	5	frequency	frequency	NOUN
fumecheng-7612	8	6	spectrum	spectrum	NOUN
fumecheng-7612	8	7	is	be	AUX
fumecheng-7612	8	8	then	then	ADV
fumecheng-7612	8	9	obtained	obtain	VERB
fumecheng-7612	8	10	by	by	ADP
fumecheng-7612	8	11	the	the	DET
fumecheng-7612	8	12	proposed	propose	VERB
fumecheng-7612	8	13	model	model	NOUN
fumecheng-7612	8	14	.	.	PUNCT
fumecheng-7612	9	1	the	the	DET
fumecheng-7612	9	2	influence	influence	NOUN
fumecheng-7612	9	3	of	of	ADP
fumecheng-7612	9	4	boundary	boundary	ADJ
fumecheng-7612	9	5	nonlinearity	nonlinearity	NOUN
fumecheng-7612	9	6	on	on	ADP
fumecheng-7612	9	7	the	the	DET
fumecheng-7612	9	8	vibration	vibration	NOUN
fumecheng-7612	9	9	response	response	NOUN
fumecheng-7612	9	10	of	of	ADP
fumecheng-7612	9	11	non	non	ADJ
fumecheng-7612	9	12	-	-	ADJ
fumecheng-7612	9	13	uniform	uniform	ADJ
fumecheng-7612	9	14	beam	beam	NOUN
fumecheng-7612	9	15	is	be	AUX
fumecheng-7612	9	16	analyzed	analyze	VERB
fumecheng-7612	9	17	.	.	PUNCT
fumecheng-7612	10	1	and	and	CCONJ
fumecheng-7612	10	2	the	the	DET
fumecheng-7612	10	3	effect	effect	NOUN
fumecheng-7612	10	4	of	of	ADP
fumecheng-7612	10	5	different	different	ADJ
fumecheng-7612	10	6	excitation	excitation	NOUN
fumecheng-7612	10	7	amplitudes	amplitude	NOUN
fumecheng-7612	10	8	on	on	ADP
fumecheng-7612	10	9	nonlinearity	nonlinearity	NOUN
fumecheng-7612	10	10	in	in	ADP
fumecheng-7612	10	11	the	the	DET
fumecheng-7612	10	12	vibration	vibration	NOUN
fumecheng-7612	10	13	response	response	NOUN
fumecheng-7612	10	14	is	be	AUX
fumecheng-7612	10	15	studied	study	VERB
fumecheng-7612	10	16	.	.	PUNCT
fumecheng-7612	11	1	the	the	DET
fumecheng-7612	11	2	mathematical	mathematical	ADJ
fumecheng-7612	11	3	model	model	NOUN
fumecheng-7612	11	4	and	and	CCONJ
fumecheng-7612	11	5	numerical	numerical	ADJ
fumecheng-7612	11	6	solutions	solution	NOUN
fumecheng-7612	11	7	proposed	propose	VERB
fumecheng-7612	11	8	in	in	ADP
fumecheng-7612	11	9	this	this	DET
fumecheng-7612	11	10	paper	paper	NOUN
fumecheng-7612	11	11	can	can	AUX
fumecheng-7612	11	12	be	be	AUX
fumecheng-7612	11	13	used	use	VERB
fumecheng-7612	11	14	to	to	PART
fumecheng-7612	11	15	solve	solve	VERB
fumecheng-7612	11	16	and	and	CCONJ
fumecheng-7612	11	17	analysis	analysis	VERB
fumecheng-7612	11	18	broad	broad	ADJ
fumecheng-7612	11	19	vibration	vibration	NOUN
fumecheng-7612	11	20	problems	problem	NOUN
fumecheng-7612	11	21	on	on	ADP
fumecheng-7612	11	22	general	general	ADJ
fumecheng-7612	11	23	non	non	ADJ
fumecheng-7612	11	24	-	-	ADJ
fumecheng-7612	11	25	uniform	uniform	ADJ
fumecheng-7612	11	26	beams	beam	NOUN
fumecheng-7612	11	27	with	with	ADP
fumecheng-7612	11	28	different	different	ADJ
fumecheng-7612	11	29	nonlinear	nonlinear	ADJ
fumecheng-7612	11	30	boundary	boundary	ADJ
fumecheng-7612	11	31	conditions	condition	NOUN
fumecheng-7612	11	32	under	under	ADP
fumecheng-7612	11	33	various	various	ADJ
fumecheng-7612	11	34	excitations	excitation	NOUN
fumecheng-7612	11	35	.	.	PUNCT
fumecheng-7612	12	1	key	key	ADJ
fumecheng-7612	12	2	words	word	NOUN
fumecheng-7612	12	3	:	:	PUNCT
fumecheng-7612	12	4	nonlinear	nonlinear	ADJ
fumecheng-7612	12	5	boundary	boundary	NOUN
fumecheng-7612	12	6	,	,	PUNCT
fumecheng-7612	12	7	non	non	ADJ
fumecheng-7612	12	8	-	-	ADJ
fumecheng-7612	12	9	uniform	uniform	ADJ
fumecheng-7612	12	10	beam	beam	NOUN
fumecheng-7612	12	11	,	,	PUNCT
fumecheng-7612	12	12	iterative	iterative	NOUN
fumecheng-7612	12	13	method	method	NOUN
fumecheng-7612	12	14	,	,	PUNCT
fumecheng-7612	12	15	adomian	adomian	NOUN
fumecheng-7612	12	16	decomposition	decomposition	NOUN
fumecheng-7612	12	17	method	method	NOUN
fumecheng-7612	12	18	,	,	PUNCT
fumecheng-7612	12	19	duhamel	duhamel	VERB
fumecheng-7612	12	20	integral	integral	ADJ
fumecheng-7612	12	21	,	,	PUNCT
fumecheng-7612	12	22	vibration	vibration	NOUN
fumecheng-7612	12	23	characteristics	characteristic	NOUN
fumecheng-7612	12	24	1	1	NUM
fumecheng-7612	12	25	.	.	PUNCT
fumecheng-7612	12	26	introduction	introduction	NOUN
fumecheng-7612	12	27	in	in	ADP
fumecheng-7612	12	28	practical	practical	ADJ
fumecheng-7612	12	29	engineering	engineering	NOUN
fumecheng-7612	12	30	applications	application	NOUN
fumecheng-7612	12	31	,	,	PUNCT
fumecheng-7612	12	32	non	non	ADJ
fumecheng-7612	12	33	-	-	ADJ
fumecheng-7612	12	34	uniform	uniform	ADJ
fumecheng-7612	12	35	beam	beam	NOUN
fumecheng-7612	12	36	structures	structure	NOUN
fumecheng-7612	12	37	,	,	PUNCT
fumecheng-7612	12	38	including	include	VERB
fumecheng-7612	12	39	functionally	functionally	ADV
fumecheng-7612	12	40	graded	grade	VERB
fumecheng-7612	12	41	material	material	NOUN
fumecheng-7612	12	42	(	(	PUNCT
fumecheng-7612	12	43	fgm	fgm	PROPN
fumecheng-7612	12	44	)	)	PUNCT
fumecheng-7612	12	45	beam	beam	NOUN
fumecheng-7612	12	46	structures	structure	NOUN
fumecheng-7612	12	47	are	be	AUX
fumecheng-7612	12	48	widely	widely	ADV
fumecheng-7612	12	49	used	use	VERB
fumecheng-7612	12	50	because	because	SCONJ
fumecheng-7612	12	51	they	they	PRON
fumecheng-7612	12	52	can	can	AUX
fumecheng-7612	12	53	optimize	optimize	VERB
fumecheng-7612	12	54	weight	weight	NOUN
fumecheng-7612	12	55	and	and	CCONJ
fumecheng-7612	12	56	change	change	NOUN
fumecheng-7612	12	57	strength	strength	NOUN
fumecheng-7612	12	58	by	by	ADP
fumecheng-7612	12	59	changing	change	VERB
fumecheng-7612	12	60	cross	cross	ADJ
fumecheng-7612	12	61	-	-	ADJ
fumecheng-7612	12	62	sectional	sectional	ADJ
fumecheng-7612	12	63	area	area	NOUN
fumecheng-7612	12	64	and	and	CCONJ
fumecheng-7612	12	65	material	material	NOUN
fumecheng-7612	12	66	properties	property	NOUN
fumecheng-7612	12	67	.	.	PUNCT
fumecheng-7612	13	1	over	over	ADP
fumecheng-7612	13	2	the	the	DET
fumecheng-7612	13	3	years	year	NOUN
fumecheng-7612	13	4	,	,	PUNCT
fumecheng-7612	13	5	many	many	ADJ
fumecheng-7612	13	6	experts	expert	NOUN
fumecheng-7612	13	7	and	and	CCONJ
fumecheng-7612	13	8	scholars	scholar	NOUN
fumecheng-7612	13	9	have	have	AUX
fumecheng-7612	13	10	studied	study	VERB
fumecheng-7612	13	11	the	the	DET
fumecheng-7612	13	12	dynamics	dynamic	NOUN
fumecheng-7612	13	13	of	of	ADP
fumecheng-7612	13	14	non	non	ADJ
fumecheng-7612	13	15	-	-	ADJ
fumecheng-7612	13	16	uniform	uniform	ADJ
fumecheng-7612	13	17	beams	beam	NOUN
fumecheng-7612	13	18	[	[	X
fumecheng-7612	13	19	1	1	NUM
fumecheng-7612	13	20	-	-	SYM
fumecheng-7612	13	21	4	4	NUM
fumecheng-7612	13	22	]	]	PUNCT
fumecheng-7612	13	23	,	,	PUNCT
fumecheng-7612	13	24	including	include	VERB
fumecheng-7612	13	25	vibration	vibration	NOUN
fumecheng-7612	13	26	characteristic	characteristic	ADJ
fumecheng-7612	13	27	analysis	analysis	NOUN
fumecheng-7612	13	28	(	(	PUNCT
fumecheng-7612	13	29	natural	natural	ADJ
fumecheng-7612	13	30	frequency	frequency	NOUN
fumecheng-7612	13	31	and	and	CCONJ
fumecheng-7612	13	32	modal	modal	ADJ
fumecheng-7612	13	33	shape	shape	NOUN
fumecheng-7612	13	34	solution	solution	NOUN
fumecheng-7612	13	35	)	)	PUNCT
fumecheng-7612	13	36	and	and	CCONJ
fumecheng-7612	13	37	vibration	vibration	NOUN
fumecheng-7612	13	38	utilization	utilization	NOUN
fumecheng-7612	13	39	(	(	PUNCT
fumecheng-7612	13	40	energy	energy	NOUN
fumecheng-7612	13	41	harvester	harvester	NOUN
fumecheng-7612	13	42	and	and	CCONJ
fumecheng-7612	13	43	stability	stability	NOUN
fumecheng-7612	13	44	analysis	analysis	NOUN
fumecheng-7612	13	45	)	)	PUNCT
fumecheng-7612	14	1	[	[	X
fumecheng-7612	14	2	5	5	NUM
fumecheng-7612	14	3	-	-	SYM
fumecheng-7612	14	4	9	9	NUM
fumecheng-7612	14	5	]	]	PUNCT
fumecheng-7612	14	6	.	.	PUNCT
fumecheng-7612	15	1	at	at	ADP
fumecheng-7612	15	2	the	the	DET
fumecheng-7612	15	3	same	same	ADJ
fumecheng-7612	15	4	time	time	NOUN
fumecheng-7612	15	5	,	,	PUNCT
fumecheng-7612	15	6	the	the	DET
fumecheng-7612	15	7	dynamics	dynamic	NOUN
fumecheng-7612	15	8	of	of	ADP
fumecheng-7612	15	9	structures	structure	NOUN
fumecheng-7612	15	10	with	with	ADP
fumecheng-7612	15	11	nonlinear	nonlinear	ADJ
fumecheng-7612	15	12	boundary	boundary	NOUN
fumecheng-7612	15	13	(	(	PUNCT
fumecheng-7612	15	14	including	include	VERB
fumecheng-7612	15	15	multi	multi	ADJ
fumecheng-7612	15	16	segment	segment	NOUN
fumecheng-7612	15	17	linear	linear	PROPN
fumecheng-7612	15	18	boundary	boundary	ADJ
fumecheng-7612	15	19	condition	condition	NOUN
fumecheng-7612	15	20	)	)	PUNCT
fumecheng-7612	15	21	is	be	AUX
fumecheng-7612	15	22	a	a	DET
fumecheng-7612	15	23	hot	hot	ADJ
fumecheng-7612	15	24	topic	topic	NOUN
fumecheng-7612	15	25	that	that	PRON
fumecheng-7612	15	26	has	have	AUX
fumecheng-7612	15	27	been	be	AUX
fumecheng-7612	15	28	studied	study	VERB
fumecheng-7612	15	29	in	in	ADP
fumecheng-7612	15	30	recent	recent	ADJ
fumecheng-7612	15	31	years	year	NOUN
fumecheng-7612	15	32	.	.	PUNCT
fumecheng-7612	16	1	in	in	ADP
fumecheng-7612	16	2	real	real	ADJ
fumecheng-7612	16	3	life	life	NOUN
fumecheng-7612	16	4	,	,	PUNCT
fumecheng-7612	16	5	spring	spring	NOUN
fumecheng-7612	17	1	[	[	X
fumecheng-7612	17	2	10,11	10,11	NOUN
fumecheng-7612	17	3	]	]	X
fumecheng-7612	17	4	,	,	PUNCT
fumecheng-7612	17	5	rubber	rubber	NOUN
fumecheng-7612	17	6	bearing	bearing	NOUN
fumecheng-7612	17	7	[	[	X
fumecheng-7612	17	8	12,13	12,13	NUM
fumecheng-7612	17	9	]	]	PUNCT
fumecheng-7612	17	10	,	,	PUNCT
fumecheng-7612	17	11	received	receive	VERB
fumecheng-7612	17	12	march	march	PROPN
fumecheng-7612	17	13	24	24	NUM
fumecheng-7612	17	14	,	,	PUNCT
fumecheng-7612	17	15	2021	2021	NUM
fumecheng-7612	17	16	/	/	SYM
fumecheng-7612	17	17	accepted	accept	VERB
fumecheng-7612	17	18	may	may	PROPN
fumecheng-7612	17	19	16	16	NUM
fumecheng-7612	17	20	,	,	PUNCT
fumecheng-7612	17	21	2021	2021	NUM
fumecheng-7612	17	22	corresponding	correspond	VERB
fumecheng-7612	17	23	author	author	NOUN
fumecheng-7612	17	24	:	:	PUNCT
fumecheng-7612	17	25	zhili	zhili	PROPN
fumecheng-7612	17	26	sun	sun	PROPN
fumecheng-7612	17	27	,	,	PUNCT
fumecheng-7612	17	28	nan	nan	PROPN
fumecheng-7612	17	29	wu	wu	PROPN
fumecheng-7612	17	30	northeastern	northeastern	PROPN
fumecheng-7612	17	31	university	university	PROPN
fumecheng-7612	17	32	,	,	PUNCT
fumecheng-7612	17	33	110819	110819	NUM
fumecheng-7612	17	34	,	,	PUNCT
fumecheng-7612	17	35	university	university	NOUN
fumecheng-7612	17	36	of	of	ADP
fumecheng-7612	17	37	manitoba	manitoba	PROPN
fumecheng-7612	17	38	,	,	PUNCT
fumecheng-7612	17	39	r3	r3	PROPN
fumecheng-7612	17	40	t	t	NOUN
fumecheng-7612	17	41	2n2	2n2	NUM
fumecheng-7612	17	42	e	e	NOUN
fumecheng-7612	17	43	-	-	NOUN
fumecheng-7612	17	44	mail	mail	NOUN
fumecheng-7612	17	45	:	:	PUNCT
fumecheng-7612	17	46	zhlsun@mail.neu.edu.cn	zhlsun@mail.neu.edu.cn	NUM
fumecheng-7612	17	47	,	,	PUNCT
fumecheng-7612	17	48	nan.wu@umanitoba.ca	nan.wu@umanitoba.ca	NOUN
fumecheng-7612	17	49	mailto:zhlsun@mail.neu.edu.cn	mailto:zhlsun@mail.neu.edu.cn	NOUN
fumecheng-7612	17	50	782	782	NUM
fumecheng-7612	17	51	p.	p.	NOUN
fumecheng-7612	17	52	wang	wang	PROPN
fumecheng-7612	17	53	,	,	PUNCT
fumecheng-7612	17	54	n.	n.	PROPN
fumecheng-7612	17	55	wu	wu	PROPN
fumecheng-7612	17	56	,	,	PUNCT
fumecheng-7612	17	57	h.	h.	PROPN
fumecheng-7612	17	58	luo	luo	PROPN
fumecheng-7612	17	59	,	,	PUNCT
fumecheng-7612	17	60	z.	z.	PROPN
fumecheng-7612	17	61	sun	sun	PROPN
fumecheng-7612	17	62	concrete	concrete	PROPN
fumecheng-7612	17	63	and	and	CCONJ
fumecheng-7612	17	64	elastic	elastic	ADJ
fumecheng-7612	17	65	material	material	NOUN
fumecheng-7612	17	66	and	and	CCONJ
fumecheng-7612	17	67	foundation	foundation	NOUN
fumecheng-7612	17	68	[	[	X
fumecheng-7612	17	69	14	14	NUM
fumecheng-7612	17	70	]	]	PUNCT
fumecheng-7612	17	71	and	and	CCONJ
fumecheng-7612	17	72	soil	soil	NOUN
fumecheng-7612	18	1	[	[	X
fumecheng-7612	18	2	15,16	15,16	NUM
fumecheng-7612	18	3	]	]	X
fumecheng-7612	18	4	all	all	PRON
fumecheng-7612	18	5	have	have	VERB
fumecheng-7612	18	6	nonlinear	nonlinear	ADJ
fumecheng-7612	18	7	characteristics	characteristic	NOUN
fumecheng-7612	18	8	,	,	PUNCT
fumecheng-7612	18	9	which	which	PRON
fumecheng-7612	18	10	have	have	AUX
fumecheng-7612	18	11	been	be	AUX
fumecheng-7612	18	12	taken	take	VERB
fumecheng-7612	18	13	into	into	ADP
fumecheng-7612	18	14	account	account	NOUN
fumecheng-7612	18	15	in	in	ADP
fumecheng-7612	18	16	the	the	DET
fumecheng-7612	18	17	static	static	ADJ
fumecheng-7612	18	18	analysis	analysis	NOUN
fumecheng-7612	18	19	of	of	ADP
fumecheng-7612	18	20	structures	structure	NOUN
fumecheng-7612	18	21	,	,	PUNCT
fumecheng-7612	18	22	but	but	CCONJ
fumecheng-7612	18	23	the	the	DET
fumecheng-7612	18	24	nonlinearity	nonlinearity	NOUN
fumecheng-7612	18	25	of	of	ADP
fumecheng-7612	18	26	boundary	boundary	NOUN
fumecheng-7612	18	27	is	be	AUX
fumecheng-7612	18	28	usually	usually	ADV
fumecheng-7612	18	29	ignored	ignore	VERB
fumecheng-7612	18	30	in	in	ADP
fumecheng-7612	18	31	the	the	DET
fumecheng-7612	18	32	dynamic	dynamic	ADJ
fumecheng-7612	18	33	analysis	analysis	NOUN
fumecheng-7612	18	34	of	of	ADP
fumecheng-7612	18	35	structures	structure	NOUN
fumecheng-7612	18	36	.	.	PUNCT
fumecheng-7612	19	1	for	for	ADP
fumecheng-7612	19	2	the	the	DET
fumecheng-7612	19	3	vibration	vibration	NOUN
fumecheng-7612	19	4	governing	govern	VERB
fumecheng-7612	19	5	equation	equation	NOUN
fumecheng-7612	19	6	of	of	ADP
fumecheng-7612	19	7	beam	beam	NOUN
fumecheng-7612	19	8	structure	structure	NOUN
fumecheng-7612	19	9	,	,	PUNCT
fumecheng-7612	19	10	the	the	DET
fumecheng-7612	19	11	boundary	boundary	ADJ
fumecheng-7612	19	12	condition	condition	NOUN
fumecheng-7612	19	13	determines	determine	VERB
fumecheng-7612	19	14	the	the	DET
fumecheng-7612	19	15	result	result	NOUN
fumecheng-7612	19	16	of	of	ADP
fumecheng-7612	19	17	solution	solution	NOUN
fumecheng-7612	19	18	.	.	PUNCT
fumecheng-7612	20	1	in	in	ADP
fumecheng-7612	20	2	order	order	NOUN
fumecheng-7612	20	3	to	to	PART
fumecheng-7612	20	4	obtain	obtain	VERB
fumecheng-7612	20	5	more	more	ADV
fumecheng-7612	20	6	accurate	accurate	ADJ
fumecheng-7612	20	7	structural	structural	ADJ
fumecheng-7612	20	8	dynamic	dynamic	ADJ
fumecheng-7612	20	9	characteristics	characteristic	NOUN
fumecheng-7612	20	10	,	,	PUNCT
fumecheng-7612	20	11	it	it	PRON
fumecheng-7612	20	12	is	be	AUX
fumecheng-7612	20	13	necessary	necessary	ADJ
fumecheng-7612	20	14	to	to	PART
fumecheng-7612	20	15	consider	consider	VERB
fumecheng-7612	20	16	the	the	DET
fumecheng-7612	20	17	nonlinearity	nonlinearity	NOUN
fumecheng-7612	20	18	of	of	ADP
fumecheng-7612	20	19	boundary	boundary	ADJ
fumecheng-7612	20	20	condition	condition	NOUN
fumecheng-7612	20	21	,	,	PUNCT
fumecheng-7612	20	22	so	so	CCONJ
fumecheng-7612	20	23	it	it	PRON
fumecheng-7612	20	24	is	be	AUX
fumecheng-7612	20	25	meaningful	meaningful	ADJ
fumecheng-7612	20	26	to	to	PART
fumecheng-7612	20	27	study	study	VERB
fumecheng-7612	20	28	the	the	DET
fumecheng-7612	20	29	dynamic	dynamic	ADJ
fumecheng-7612	20	30	characteristics	characteristic	NOUN
fumecheng-7612	20	31	of	of	ADP
fumecheng-7612	20	32	non	non	ADJ
fumecheng-7612	20	33	-	-	ADJ
fumecheng-7612	20	34	uniform	uniform	ADJ
fumecheng-7612	20	35	beam	beam	NOUN
fumecheng-7612	20	36	structure	structure	NOUN
fumecheng-7612	20	37	with	with	ADP
fumecheng-7612	20	38	nonlinear	nonlinear	ADJ
fumecheng-7612	20	39	boundary	boundary	NOUN
fumecheng-7612	20	40	.	.	PUNCT
fumecheng-7612	21	1	at	at	ADP
fumecheng-7612	21	2	present	present	ADJ
fumecheng-7612	21	3	,	,	PUNCT
fumecheng-7612	21	4	there	there	PRON
fumecheng-7612	21	5	are	be	VERB
fumecheng-7612	21	6	many	many	ADJ
fumecheng-7612	21	7	methods	method	NOUN
fumecheng-7612	21	8	to	to	PART
fumecheng-7612	21	9	solve	solve	VERB
fumecheng-7612	21	10	the	the	DET
fumecheng-7612	21	11	dynamic	dynamic	ADJ
fumecheng-7612	21	12	problems	problem	NOUN
fumecheng-7612	21	13	of	of	ADP
fumecheng-7612	21	14	uniform	uniform	ADJ
fumecheng-7612	21	15	beam	beam	NOUN
fumecheng-7612	21	16	structure	structure	NOUN
fumecheng-7612	21	17	with	with	ADP
fumecheng-7612	21	18	nonlinear	nonlinear	ADJ
fumecheng-7612	21	19	boundary	boundary	ADJ
fumecheng-7612	21	20	condition	condition	NOUN
fumecheng-7612	21	21	.	.	PUNCT
fumecheng-7612	22	1	iterative	iterative	NOUN
fumecheng-7612	22	2	method	method	NOUN
fumecheng-7612	22	3	is	be	AUX
fumecheng-7612	22	4	one	one	NUM
fumecheng-7612	22	5	of	of	ADP
fumecheng-7612	22	6	the	the	DET
fumecheng-7612	22	7	effective	effective	ADJ
fumecheng-7612	22	8	methods	method	NOUN
fumecheng-7612	22	9	.	.	PUNCT
fumecheng-7612	23	1	ma	ma	PROPN
fumecheng-7612	23	2	and	and	CCONJ
fumecheng-7612	23	3	silva	silva	PROPN
fumecheng-7612	23	4	solved	solve	VERB
fumecheng-7612	23	5	the	the	DET
fumecheng-7612	23	6	fourth	fourth	ADJ
fumecheng-7612	23	7	order	order	NOUN
fumecheng-7612	23	8	differential	differential	ADJ
fumecheng-7612	23	9	vibration	vibration	NOUN
fumecheng-7612	23	10	equation	equation	NOUN
fumecheng-7612	23	11	of	of	ADP
fumecheng-7612	23	12	uniform	uniform	ADJ
fumecheng-7612	23	13	beam	beam	PROPN
fumecheng-7612	23	14	with	with	ADP
fumecheng-7612	23	15	nonlinear	nonlinear	ADJ
fumecheng-7612	23	16	boundary	boundary	NOUN
fumecheng-7612	23	17	by	by	ADP
fumecheng-7612	23	18	iterative	iterative	NOUN
fumecheng-7612	23	19	method	method	NOUN
fumecheng-7612	23	20	[	[	X
fumecheng-7612	23	21	17	17	NUM
fumecheng-7612	23	22	]	]	PUNCT
fumecheng-7612	23	23	.	.	PUNCT
fumecheng-7612	24	1	sun	sun	PROPN
fumecheng-7612	24	2	and	and	CCONJ
fumecheng-7612	24	3	wang	wang	PROPN
fumecheng-7612	24	4	studied	study	VERB
fumecheng-7612	24	5	the	the	DET
fumecheng-7612	24	6	existence	existence	NOUN
fumecheng-7612	24	7	of	of	ADP
fumecheng-7612	24	8	monotone	monotone	ADJ
fumecheng-7612	24	9	positive	positive	ADJ
fumecheng-7612	24	10	solutions	solution	NOUN
fumecheng-7612	24	11	for	for	ADP
fumecheng-7612	24	12	a	a	DET
fumecheng-7612	24	13	class	class	NOUN
fumecheng-7612	24	14	of	of	ADP
fumecheng-7612	24	15	elastic	elastic	ADJ
fumecheng-7612	24	16	beam	beam	NOUN
fumecheng-7612	24	17	equations	equation	NOUN
fumecheng-7612	24	18	with	with	ADP
fumecheng-7612	24	19	nonlinear	nonlinear	ADJ
fumecheng-7612	24	20	boundary	boundary	ADJ
fumecheng-7612	24	21	conditions	condition	NOUN
fumecheng-7612	24	22	by	by	ADP
fumecheng-7612	24	23	monotone	monotone	ADJ
fumecheng-7612	24	24	iterative	iterative	NOUN
fumecheng-7612	24	25	method	method	NOUN
fumecheng-7612	24	26	[	[	X
fumecheng-7612	24	27	18	18	NUM
fumecheng-7612	24	28	]	]	PUNCT
fumecheng-7612	24	29	.	.	PUNCT
fumecheng-7612	25	1	dang	dang	PROPN
fumecheng-7612	25	2	and	and	CCONJ
fumecheng-7612	25	3	huong	huong	PROPN
fumecheng-7612	25	4	reduced	reduce	VERB
fumecheng-7612	25	5	the	the	DET
fumecheng-7612	25	6	nonlinear	nonlinear	ADJ
fumecheng-7612	25	7	fourth	fourth	ADJ
fumecheng-7612	25	8	-	-	PUNCT
fumecheng-7612	25	9	order	order	NOUN
fumecheng-7612	25	10	problem	problem	NOUN
fumecheng-7612	25	11	to	to	ADP
fumecheng-7612	25	12	a	a	DET
fumecheng-7612	25	13	series	series	NOUN
fumecheng-7612	25	14	of	of	ADP
fumecheng-7612	25	15	second	second	ADJ
fumecheng-7612	25	16	-	-	PUNCT
fumecheng-7612	25	17	order	order	NOUN
fumecheng-7612	25	18	linear	linear	NOUN
fumecheng-7612	25	19	problems	problem	NOUN
fumecheng-7612	25	20	with	with	ADP
fumecheng-7612	25	21	linear	linear	PROPN
fumecheng-7612	25	22	boundary	boundary	ADJ
fumecheng-7612	25	23	conditions	condition	NOUN
fumecheng-7612	25	24	,	,	PUNCT
fumecheng-7612	25	25	and	and	CCONJ
fumecheng-7612	25	26	proposed	propose	VERB
fumecheng-7612	25	27	an	an	DET
fumecheng-7612	25	28	iterative	iterative	NOUN
fumecheng-7612	25	29	method	method	NOUN
fumecheng-7612	25	30	for	for	ADP
fumecheng-7612	25	31	solving	solve	VERB
fumecheng-7612	25	32	the	the	DET
fumecheng-7612	25	33	fourth	fourth	ADJ
fumecheng-7612	25	34	-	-	PUNCT
fumecheng-7612	25	35	order	order	NOUN
fumecheng-7612	25	36	nonlinear	nonlinear	ADJ
fumecheng-7612	25	37	equations	equation	NOUN
fumecheng-7612	25	38	of	of	ADP
fumecheng-7612	25	39	beam	beam	NOUN
fumecheng-7612	25	40	structures	structure	NOUN
fumecheng-7612	25	41	with	with	ADP
fumecheng-7612	25	42	nonlinear	nonlinear	ADJ
fumecheng-7612	25	43	boundary	boundary	ADJ
fumecheng-7612	25	44	conditions	condition	NOUN
fumecheng-7612	25	45	[	[	X
fumecheng-7612	25	46	19	19	NUM
fumecheng-7612	25	47	]	]	PUNCT
fumecheng-7612	25	48	.	.	PUNCT
fumecheng-7612	26	1	liu	liu	PROPN
fumecheng-7612	26	2	and	and	CCONJ
fumecheng-7612	26	3	li	li	PROPN
fumecheng-7612	26	4	proposed	propose	VERB
fumecheng-7612	26	5	a	a	DET
fumecheng-7612	26	6	fast	fast	ADJ
fumecheng-7612	26	7	iterative	iterative	NOUN
fumecheng-7612	26	8	method	method	NOUN
fumecheng-7612	26	9	to	to	PART
fumecheng-7612	26	10	transform	transform	VERB
fumecheng-7612	26	11	ordinary	ordinary	ADJ
fumecheng-7612	26	12	differential	differential	ADJ
fumecheng-7612	26	13	equations	equation	NOUN
fumecheng-7612	26	14	into	into	ADP
fumecheng-7612	26	15	integral	integral	ADJ
fumecheng-7612	26	16	equations	equation	NOUN
fumecheng-7612	26	17	to	to	PART
fumecheng-7612	26	18	solve	solve	VERB
fumecheng-7612	26	19	nonlinear	nonlinear	ADJ
fumecheng-7612	26	20	beam	beam	NOUN
fumecheng-7612	26	21	equations	equation	NOUN
fumecheng-7612	26	22	with	with	ADP
fumecheng-7612	26	23	nonlinear	nonlinear	ADJ
fumecheng-7612	26	24	moment	moment	NOUN
fumecheng-7612	26	25	boundary	boundary	ADJ
fumecheng-7612	26	26	conditions	condition	NOUN
fumecheng-7612	26	27	[	[	X
fumecheng-7612	26	28	20	20	NUM
fumecheng-7612	26	29	]	]	PUNCT
fumecheng-7612	26	30	.	.	PUNCT
fumecheng-7612	27	1	alves	alves	PROPN
fumecheng-7612	27	2	et	et	PROPN
fumecheng-7612	27	3	al	al	PROPN
fumecheng-7612	27	4	.	.	PROPN
fumecheng-7612	27	5	studied	study	VERB
fumecheng-7612	27	6	the	the	DET
fumecheng-7612	27	7	existence	existence	NOUN
fumecheng-7612	27	8	of	of	ADP
fumecheng-7612	27	9	monotone	monotone	ADJ
fumecheng-7612	27	10	positive	positive	ADJ
fumecheng-7612	27	11	solutions	solution	NOUN
fumecheng-7612	27	12	for	for	ADP
fumecheng-7612	27	13	a	a	DET
fumecheng-7612	27	14	class	class	NOUN
fumecheng-7612	27	15	of	of	ADP
fumecheng-7612	27	16	beam	beam	NOUN
fumecheng-7612	27	17	equations	equation	NOUN
fumecheng-7612	27	18	with	with	ADP
fumecheng-7612	27	19	nonlinear	nonlinear	ADJ
fumecheng-7612	27	20	boundary	boundary	ADJ
fumecheng-7612	27	21	conditions	condition	NOUN
fumecheng-7612	27	22	by	by	ADP
fumecheng-7612	27	23	monotone	monotone	ADJ
fumecheng-7612	27	24	iterative	iterative	NOUN
fumecheng-7612	27	25	method	method	NOUN
fumecheng-7612	27	26	[	[	X
fumecheng-7612	27	27	21	21	NUM
fumecheng-7612	27	28	]	]	PUNCT
fumecheng-7612	27	29	.	.	PUNCT
fumecheng-7612	28	1	at	at	ADP
fumecheng-7612	28	2	present	present	ADJ
fumecheng-7612	28	3	,	,	PUNCT
fumecheng-7612	28	4	the	the	DET
fumecheng-7612	28	5	iterative	iterative	NOUN
fumecheng-7612	28	6	method	method	NOUN
fumecheng-7612	28	7	to	to	PART
fumecheng-7612	28	8	solve	solve	VERB
fumecheng-7612	28	9	the	the	DET
fumecheng-7612	28	10	dynamic	dynamic	ADJ
fumecheng-7612	28	11	problem	problem	NOUN
fumecheng-7612	28	12	of	of	ADP
fumecheng-7612	28	13	uniform	uniform	ADJ
fumecheng-7612	28	14	beam	beam	NOUN
fumecheng-7612	28	15	structure	structure	NOUN
fumecheng-7612	28	16	with	with	ADP
fumecheng-7612	28	17	nonlinear	nonlinear	ADJ
fumecheng-7612	28	18	boundary	boundary	ADJ
fumecheng-7612	28	19	condition	condition	NOUN
fumecheng-7612	28	20	is	be	AUX
fumecheng-7612	28	21	to	to	PART
fumecheng-7612	28	22	solve	solve	VERB
fumecheng-7612	28	23	the	the	DET
fumecheng-7612	28	24	nonlinear	nonlinear	ADJ
fumecheng-7612	28	25	equations	equation	NOUN
fumecheng-7612	28	26	about	about	ADP
fumecheng-7612	28	27	deflection	deflection	NOUN
fumecheng-7612	28	28	.	.	PUNCT
fumecheng-7612	29	1	the	the	DET
fumecheng-7612	29	2	deflection	deflection	NOUN
fumecheng-7612	29	3	here	here	ADV
fumecheng-7612	29	4	has	have	VERB
fumecheng-7612	29	5	no	no	DET
fumecheng-7612	29	6	practical	practical	ADJ
fumecheng-7612	29	7	physical	physical	ADJ
fumecheng-7612	29	8	significance	significance	NOUN
fumecheng-7612	29	9	,	,	PUNCT
fumecheng-7612	29	10	and	and	CCONJ
fumecheng-7612	29	11	it	it	PRON
fumecheng-7612	29	12	is	be	AUX
fumecheng-7612	29	13	more	more	ADJ
fumecheng-7612	29	14	about	about	ADP
fumecheng-7612	29	15	solving	solve	VERB
fumecheng-7612	29	16	a	a	DET
fumecheng-7612	29	17	mathematical	mathematical	ADJ
fumecheng-7612	29	18	problem	problem	NOUN
fumecheng-7612	29	19	.	.	PUNCT
fumecheng-7612	30	1	in	in	ADP
fumecheng-7612	30	2	addition	addition	NOUN
fumecheng-7612	30	3	to	to	ADP
fumecheng-7612	30	4	the	the	DET
fumecheng-7612	30	5	iterative	iterative	NOUN
fumecheng-7612	30	6	method	method	NOUN
fumecheng-7612	30	7	,	,	PUNCT
fumecheng-7612	30	8	the	the	DET
fumecheng-7612	30	9	reproducing	reproduce	VERB
fumecheng-7612	30	10	kernel	kernel	NOUN
fumecheng-7612	30	11	method	method	NOUN
fumecheng-7612	30	12	and	and	CCONJ
fumecheng-7612	30	13	the	the	DET
fumecheng-7612	30	14	expansion	expansion	NOUN
fumecheng-7612	30	15	method	method	NOUN
fumecheng-7612	30	16	can	can	AUX
fumecheng-7612	30	17	be	be	AUX
fumecheng-7612	30	18	used	use	VERB
fumecheng-7612	30	19	to	to	PART
fumecheng-7612	30	20	solve	solve	VERB
fumecheng-7612	30	21	the	the	DET
fumecheng-7612	30	22	nonlinear	nonlinear	ADJ
fumecheng-7612	30	23	boundary	boundary	ADJ
fumecheng-7612	30	24	problems	problem	NOUN
fumecheng-7612	30	25	of	of	ADP
fumecheng-7612	30	26	beam	beam	NOUN
fumecheng-7612	30	27	structures	structure	NOUN
fumecheng-7612	30	28	.	.	PUNCT
fumecheng-7612	31	1	in	in	ADP
fumecheng-7612	31	2	[	[	X
fumecheng-7612	31	3	22	22	NUM
fumecheng-7612	31	4	]	]	PUNCT
fumecheng-7612	31	5	and	and	CCONJ
fumecheng-7612	31	6	[	[	X
fumecheng-7612	31	7	23	23	NUM
fumecheng-7612	31	8	]	]	PUNCT
fumecheng-7612	31	9	,	,	PUNCT
fumecheng-7612	31	10	the	the	DET
fumecheng-7612	31	11	analytic	analytic	ADJ
fumecheng-7612	31	12	approximate	approximate	ADJ
fumecheng-7612	31	13	solutions	solution	NOUN
fumecheng-7612	31	14	of	of	ADP
fumecheng-7612	31	15	a	a	DET
fumecheng-7612	31	16	class	class	NOUN
fumecheng-7612	31	17	of	of	ADP
fumecheng-7612	31	18	fourth	fourth	ADJ
fumecheng-7612	31	19	order	order	NOUN
fumecheng-7612	31	20	differential	differential	ADJ
fumecheng-7612	31	21	equations	equation	NOUN
fumecheng-7612	31	22	with	with	ADP
fumecheng-7612	31	23	nonlinear	nonlinear	ADJ
fumecheng-7612	31	24	boundary	boundary	ADJ
fumecheng-7612	31	25	conditions	condition	NOUN
fumecheng-7612	31	26	are	be	AUX
fumecheng-7612	31	27	studied	study	VERB
fumecheng-7612	31	28	by	by	ADP
fumecheng-7612	31	29	using	use	VERB
fumecheng-7612	31	30	the	the	DET
fumecheng-7612	31	31	iterative	iterative	NOUN
fumecheng-7612	31	32	reproducing	reproduce	VERB
fumecheng-7612	31	33	kernel	kernel	NOUN
fumecheng-7612	31	34	method	method	NOUN
fumecheng-7612	31	35	and	and	CCONJ
fumecheng-7612	31	36	reproducing	reproduce	VERB
fumecheng-7612	31	37	kernel	kernel	PROPN
fumecheng-7612	31	38	hilbert	hilbert	PROPN
fumecheng-7612	31	39	space	space	NOUN
fumecheng-7612	31	40	method	method	NOUN
fumecheng-7612	31	41	,	,	PUNCT
fumecheng-7612	31	42	respectively	respectively	ADV
fumecheng-7612	31	43	.	.	PUNCT
fumecheng-7612	32	1	geng	geng	PROPN
fumecheng-7612	32	2	and	and	CCONJ
fumecheng-7612	32	3	cui	cui	PROPN
fumecheng-7612	32	4	obtained	obtain	VERB
fumecheng-7612	32	5	a	a	DET
fumecheng-7612	32	6	series	series	NOUN
fumecheng-7612	32	7	solution	solution	NOUN
fumecheng-7612	32	8	to	to	PART
fumecheng-7612	32	9	solve	solve	VERB
fumecheng-7612	32	10	the	the	DET
fumecheng-7612	32	11	singular	singular	PROPN
fumecheng-7612	32	12	nonlinear	nonlinear	ADJ
fumecheng-7612	32	13	second	second	ADJ
fumecheng-7612	32	14	-	-	PUNCT
fumecheng-7612	32	15	order	order	NOUN
fumecheng-7612	32	16	periodic	periodic	ADJ
fumecheng-7612	32	17	boundary	boundary	ADJ
fumecheng-7612	32	18	value	value	NOUN
fumecheng-7612	32	19	problem	problem	NOUN
fumecheng-7612	32	20	in	in	ADP
fumecheng-7612	32	21	the	the	DET
fumecheng-7612	32	22	reproducing	reproduce	VERB
fumecheng-7612	32	23	kernel	kernel	NOUN
fumecheng-7612	32	24	space	space	NOUN
fumecheng-7612	32	25	[	[	X
fumecheng-7612	32	26	24	24	NUM
fumecheng-7612	32	27	]	]	PUNCT
fumecheng-7612	32	28	.	.	PUNCT
fumecheng-7612	33	1	sedighi	sedighi	PROPN
fumecheng-7612	33	2	et	et	PROPN
fumecheng-7612	33	3	al	al	PROPN
fumecheng-7612	33	4	.	.	PROPN
fumecheng-7612	33	5	redefined	redefine	VERB
fumecheng-7612	33	6	the	the	DET
fumecheng-7612	33	7	preloading	preloading	NOUN
fumecheng-7612	33	8	nonlinearity	nonlinearity	NOUN
fumecheng-7612	33	9	as	as	ADP
fumecheng-7612	33	10	the	the	DET
fumecheng-7612	33	11	boundary	boundary	ADJ
fumecheng-7612	33	12	condition	condition	NOUN
fumecheng-7612	33	13	of	of	ADP
fumecheng-7612	33	14	cantilever	cantilever	NOUN
fumecheng-7612	33	15	beam	beam	NOUN
fumecheng-7612	33	16	with	with	ADP
fumecheng-7612	33	17	a	a	DET
fumecheng-7612	33	18	new	new	ADJ
fumecheng-7612	33	19	exact	exact	ADJ
fumecheng-7612	33	20	equivalent	equivalent	ADJ
fumecheng-7612	33	21	function	function	NOUN
fumecheng-7612	33	22	(	(	PUNCT
fumecheng-7612	33	23	ef	ef	PROPN
fumecheng-7612	33	24	)	)	PUNCT
fumecheng-7612	33	25	of	of	ADP
fumecheng-7612	33	26	preloading	preloade	VERB
fumecheng-7612	33	27	nonlinearity	nonlinearity	NOUN
fumecheng-7612	33	28	,	,	PUNCT
fumecheng-7612	33	29	and	and	CCONJ
fumecheng-7612	33	30	obtained	obtain	VERB
fumecheng-7612	33	31	the	the	DET
fumecheng-7612	33	32	corresponding	corresponding	ADJ
fumecheng-7612	33	33	analytical	analytical	ADJ
fumecheng-7612	33	34	solution	solution	NOUN
fumecheng-7612	33	35	by	by	ADP
fumecheng-7612	33	36	using	use	VERB
fumecheng-7612	33	37	the	the	DET
fumecheng-7612	33	38	parameter	parameter	NOUN
fumecheng-7612	33	39	-	-	PUNCT
fumecheng-7612	33	40	expansion	expansion	NOUN
fumecheng-7612	33	41	method	method	NOUN
fumecheng-7612	33	42	(	(	PUNCT
fumecheng-7612	33	43	pem	pem	NOUN
fumecheng-7612	33	44	)	)	PUNCT
fumecheng-7612	34	1	[	[	X
fumecheng-7612	34	2	25	25	NUM
fumecheng-7612	34	3	]	]	PUNCT
fumecheng-7612	34	4	.	.	PUNCT
fumecheng-7612	35	1	li	li	PROPN
fumecheng-7612	35	2	and	and	CCONJ
fumecheng-7612	35	3	zhang	zhang	PROPN
fumecheng-7612	35	4	studied	study	VERB
fumecheng-7612	35	5	the	the	DET
fumecheng-7612	35	6	existence	existence	NOUN
fumecheng-7612	35	7	and	and	CCONJ
fumecheng-7612	35	8	uniqueness	uniqueness	NOUN
fumecheng-7612	35	9	of	of	ADP
fumecheng-7612	35	10	monotone	monotone	ADJ
fumecheng-7612	35	11	positive	positive	ADJ
fumecheng-7612	35	12	solutions	solution	NOUN
fumecheng-7612	35	13	for	for	ADP
fumecheng-7612	35	14	a	a	DET
fumecheng-7612	35	15	class	class	NOUN
fumecheng-7612	35	16	of	of	ADP
fumecheng-7612	35	17	elastic	elastic	ADJ
fumecheng-7612	35	18	beam	beam	NOUN
fumecheng-7612	35	19	equations	equation	NOUN
fumecheng-7612	35	20	with	with	ADP
fumecheng-7612	35	21	nonlinear	nonlinear	ADJ
fumecheng-7612	35	22	boundary	boundary	ADJ
fumecheng-7612	35	23	conditions	condition	NOUN
fumecheng-7612	35	24	based	base	VERB
fumecheng-7612	35	25	on	on	ADP
fumecheng-7612	35	26	a	a	DET
fumecheng-7612	35	27	new	new	ADJ
fumecheng-7612	35	28	fixed	fix	VERB
fumecheng-7612	35	29	point	point	NOUN
fumecheng-7612	35	30	theorem	theorem	NOUN
fumecheng-7612	35	31	of	of	ADP
fumecheng-7612	35	32	generalized	generalized	ADJ
fumecheng-7612	35	33	concave	concave	NOUN
fumecheng-7612	35	34	operators	operator	NOUN
fumecheng-7612	35	35	[	[	X
fumecheng-7612	35	36	26	26	NUM
fumecheng-7612	35	37	]	]	PUNCT
fumecheng-7612	35	38	.	.	PUNCT
fumecheng-7612	36	1	sedighi	sedighi	PROPN
fumecheng-7612	36	2	et	et	PROPN
fumecheng-7612	36	3	al	al	PROPN
fumecheng-7612	36	4	.	.	PROPN
fumecheng-7612	36	5	used	use	VERB
fumecheng-7612	36	6	the	the	DET
fumecheng-7612	36	7	newly	newly	ADV
fumecheng-7612	36	8	introduced	introduce	VERB
fumecheng-7612	36	9	equivalent	equivalent	ADJ
fumecheng-7612	36	10	function	function	NOUN
fumecheng-7612	36	11	to	to	PART
fumecheng-7612	36	12	model	model	VERB
fumecheng-7612	36	13	the	the	DET
fumecheng-7612	36	14	preloaded	preloaded	ADJ
fumecheng-7612	36	15	nonlinear	nonlinear	ADJ
fumecheng-7612	36	16	boundary	boundary	ADJ
fumecheng-7612	36	17	conditions	condition	NOUN
fumecheng-7612	36	18	of	of	ADP
fumecheng-7612	36	19	the	the	DET
fumecheng-7612	36	20	beam	beam	NOUN
fumecheng-7612	36	21	,	,	PUNCT
fumecheng-7612	36	22	and	and	CCONJ
fumecheng-7612	36	23	obtained	obtain	VERB
fumecheng-7612	36	24	the	the	DET
fumecheng-7612	36	25	analytical	analytical	ADJ
fumecheng-7612	36	26	solution	solution	NOUN
fumecheng-7612	36	27	of	of	ADP
fumecheng-7612	36	28	the	the	DET
fumecheng-7612	36	29	nonlinear	nonlinear	ADJ
fumecheng-7612	36	30	vibration	vibration	NOUN
fumecheng-7612	36	31	equation	equation	NOUN
fumecheng-7612	36	32	of	of	ADP
fumecheng-7612	36	33	the	the	DET
fumecheng-7612	36	34	beam	beam	NOUN
fumecheng-7612	36	35	by	by	SCONJ
fumecheng-7612	36	36	he	he	PRON
fumecheng-7612	36	37	’s	’	VERB
fumecheng-7612	36	38	parameter	parameter	NOUN
fumecheng-7612	36	39	expanding	expand	VERB
fumecheng-7612	36	40	method	method	NOUN
fumecheng-7612	36	41	[	[	X
fumecheng-7612	36	42	27	27	NUM
fumecheng-7612	36	43	]	]	PUNCT
fumecheng-7612	36	44	.	.	PUNCT
fumecheng-7612	37	1	wang	wang	PROPN
fumecheng-7612	37	2	et	et	PROPN
fumecheng-7612	37	3	al	al	PROPN
fumecheng-7612	37	4	.	.	PROPN
fumecheng-7612	37	5	considered	consider	VERB
fumecheng-7612	37	6	the	the	DET
fumecheng-7612	37	7	nonlinear	nonlinear	ADJ
fumecheng-7612	37	8	fourth	fourth	ADJ
fumecheng-7612	37	9	-	-	PUNCT
fumecheng-7612	37	10	order	order	NOUN
fumecheng-7612	37	11	two	two	NUM
fumecheng-7612	37	12	-	-	PUNCT
fumecheng-7612	37	13	point	point	NOUN
fumecheng-7612	37	14	boundary	boundary	ADJ
fumecheng-7612	37	15	value	value	NOUN
fumecheng-7612	37	16	problem	problem	NOUN
fumecheng-7612	37	17	(	(	PUNCT
fumecheng-7612	37	18	bvp	bvp	PROPN
fumecheng-7612	37	19	)	)	PUNCT
fumecheng-7612	37	20	of	of	ADP
fumecheng-7612	37	21	elastic	elastic	ADJ
fumecheng-7612	37	22	beam	beam	NOUN
fumecheng-7612	37	23	equation	equation	NOUN
fumecheng-7612	37	24	,	,	PUNCT
fumecheng-7612	37	25	and	and	CCONJ
fumecheng-7612	37	26	studied	study	VERB
fumecheng-7612	37	27	the	the	DET
fumecheng-7612	37	28	existence	existence	NOUN
fumecheng-7612	37	29	,	,	PUNCT
fumecheng-7612	37	30	nonexistence	nonexistence	NOUN
fumecheng-7612	37	31	and	and	CCONJ
fumecheng-7612	37	32	uniqueness	uniqueness	NOUN
fumecheng-7612	37	33	of	of	ADP
fumecheng-7612	37	34	convex	convex	NOUN
fumecheng-7612	37	35	monotone	monotone	ADJ
fumecheng-7612	37	36	positive	positive	ADJ
fumecheng-7612	37	37	solution	solution	NOUN
fumecheng-7612	37	38	of	of	ADP
fumecheng-7612	37	39	elastic	elastic	ADJ
fumecheng-7612	37	40	beam	beam	NOUN
fumecheng-7612	37	41	equation	equation	NOUN
fumecheng-7612	37	42	with	with	ADP
fumecheng-7612	37	43	parameter	parameter	NOUN
fumecheng-7612	37	44			VERB
fumecheng-7612	37	45	by	by	ADP
fumecheng-7612	37	46	using	use	VERB
fumecheng-7612	37	47	the	the	DET
fumecheng-7612	37	48	fixed	fix	VERB
fumecheng-7612	37	49	point	point	NOUN
fumecheng-7612	37	50	theorem	theorem	NOUN
fumecheng-7612	37	51	of	of	ADP
fumecheng-7612	37	52	cone	cone	NOUN
fumecheng-7612	37	53	expansion	expansion	NOUN
fumecheng-7612	38	1	[	[	X
fumecheng-7612	38	2	28	28	NUM
fumecheng-7612	38	3	]	]	PUNCT
fumecheng-7612	38	4	.	.	PUNCT
fumecheng-7612	39	1	in	in	ADP
fumecheng-7612	39	2	addition	addition	NOUN
fumecheng-7612	39	3	to	to	ADP
fumecheng-7612	39	4	the	the	DET
fumecheng-7612	39	5	above	above	ADJ
fumecheng-7612	39	6	methods	method	NOUN
fumecheng-7612	39	7	,	,	PUNCT
fumecheng-7612	39	8	there	there	PRON
fumecheng-7612	39	9	are	be	VERB
fumecheng-7612	39	10	also	also	ADV
fumecheng-7612	39	11	a	a	DET
fumecheng-7612	39	12	series	series	NOUN
fumecheng-7612	39	13	of	of	ADP
fumecheng-7612	39	14	methods	method	NOUN
fumecheng-7612	39	15	to	to	PART
fumecheng-7612	39	16	solve	solve	VERB
fumecheng-7612	39	17	the	the	DET
fumecheng-7612	39	18	dynamic	dynamic	ADJ
fumecheng-7612	39	19	problems	problem	NOUN
fumecheng-7612	39	20	of	of	ADP
fumecheng-7612	39	21	uniform	uniform	ADJ
fumecheng-7612	39	22	beam	beam	NOUN
fumecheng-7612	39	23	with	with	ADP
fumecheng-7612	39	24	nonlinear	nonlinear	ADJ
fumecheng-7612	39	25	boundary	boundary	NOUN
fumecheng-7612	39	26	.	.	PUNCT
fumecheng-7612	40	1	song	song	PROPN
fumecheng-7612	40	2	uses	use	VERB
fumecheng-7612	40	3	the	the	DET
fumecheng-7612	40	4	theorem	theorem	NOUN
fumecheng-7612	40	5	of	of	ADP
fumecheng-7612	40	6	infinitely	infinitely	ADV
fumecheng-7612	40	7	many	many	ADJ
fumecheng-7612	40	8	critical	critical	ADJ
fumecheng-7612	40	9	points	point	NOUN
fumecheng-7612	40	10	to	to	PART
fumecheng-7612	40	11	study	study	VERB
fumecheng-7612	40	12	the	the	DET
fumecheng-7612	40	13	existence	existence	NOUN
fumecheng-7612	40	14	of	of	ADP
fumecheng-7612	40	15	infinitely	infinitely	ADV
fumecheng-7612	40	16	many	many	ADJ
fumecheng-7612	40	17	solutions	solution	NOUN
fumecheng-7612	40	18	to	to	ADP
fumecheng-7612	40	19	the	the	DET
fumecheng-7612	40	20	boundary	boundary	ADJ
fumecheng-7612	40	21	value	value	NOUN
fumecheng-7612	40	22	problem	problem	NOUN
fumecheng-7612	40	23	of	of	ADP
fumecheng-7612	40	24	elastic	elastic	ADJ
fumecheng-7612	40	25	beam	beam	NOUN
fumecheng-7612	40	26	deflection	deflection	NOUN
fumecheng-7612	40	27	on	on	ADP
fumecheng-7612	40	28	a	a	DET
fumecheng-7612	40	29	fourth	fourth	ADJ
fumecheng-7612	40	30	-	-	PUNCT
fumecheng-7612	40	31	order	order	NOUN
fumecheng-7612	40	32	nonlinear	nonlinear	ADJ
fumecheng-7612	40	33	elastic	elastic	ADJ
fumecheng-7612	40	34	foundation	foundation	NOUN
fumecheng-7612	40	35	that	that	PRON
fumecheng-7612	40	36	depends	depend	VERB
fumecheng-7612	40	37	on	on	ADP
fumecheng-7612	40	38	two	two	NUM
fumecheng-7612	40	39	real	real	ADJ
fumecheng-7612	40	40	parameters	parameter	NOUN
fumecheng-7612	40	41	[	[	X
fumecheng-7612	40	42	29	29	NUM
fumecheng-7612	40	43	]	]	PUNCT
fumecheng-7612	40	44	.	.	PUNCT
fumecheng-7612	41	1	mao	mao	PROPN
fumecheng-7612	41	2	et	et	PROPN
fumecheng-7612	42	1	al	al	PROPN
fumecheng-7612	42	2	.	.	PROPN
fumecheng-7612	42	3	studied	study	VERB
fumecheng-7612	42	4	the	the	DET
fumecheng-7612	42	5	nonlinear	nonlinear	ADJ
fumecheng-7612	42	6	response	response	NOUN
fumecheng-7612	42	7	of	of	ADP
fumecheng-7612	42	8	flexible	flexible	ADJ
fumecheng-7612	42	9	structures	structure	NOUN
fumecheng-7612	42	10	with	with	ADP
fumecheng-7612	42	11	nonlinear	nonlinear	ADJ
fumecheng-7612	42	12	general	general	ADJ
fumecheng-7612	42	13	support	support	NOUN
fumecheng-7612	42	14	conditions	condition	NOUN
fumecheng-7612	42	15	by	by	ADP
fumecheng-7612	42	16	using	use	VERB
fumecheng-7612	42	17	the	the	DET
fumecheng-7612	42	18	modal	modal	ADJ
fumecheng-7612	42	19	revision	revision	NOUN
fumecheng-7612	42	20	method	method	NOUN
fumecheng-7612	42	21	[	[	X
fumecheng-7612	42	22	30	30	NUM
fumecheng-7612	42	23	]	]	PUNCT
fumecheng-7612	42	24	.	.	PUNCT
fumecheng-7612	43	1	rahman	rahman	PROPN
fumecheng-7612	43	2	et	et	PROPN
fumecheng-7612	43	3	al	al	PROPN
fumecheng-7612	43	4	.	.	PROPN
fumecheng-7612	43	5	studied	study	VERB
fumecheng-7612	43	6	the	the	DET
fumecheng-7612	43	7	forced	force	VERB
fumecheng-7612	43	8	nonlinear	nonlinear	ADJ
fumecheng-7612	43	9	study	study	NOUN
fumecheng-7612	43	10	on	on	ADP
fumecheng-7612	43	11	vibration	vibration	NOUN
fumecheng-7612	43	12	response	response	NOUN
fumecheng-7612	43	13	of	of	ADP
fumecheng-7612	43	14	a	a	DET
fumecheng-7612	43	15	non	non	ADJ
fumecheng-7612	43	16	-	-	ADJ
fumecheng-7612	43	17	uniform	uniform	ADJ
fumecheng-7612	43	18	beam	beam	NOUN
fumecheng-7612	43	19	with	with	ADP
fumecheng-7612	43	20	nonlinear	nonlinear	ADJ
fumecheng-7612	43	21	boundary	boundary	ADJ
fumecheng-7612	43	22	condition	condition	NOUN
fumecheng-7612	43	23	783	783	NUM
fumecheng-7612	43	24	vibration	vibration	NOUN
fumecheng-7612	43	25	of	of	ADP
fumecheng-7612	43	26	euler	euler	PROPN
fumecheng-7612	43	27	bernoulli	bernoulli	PROPN
fumecheng-7612	43	28	beam	beam	PROPN
fumecheng-7612	43	29	on	on	ADP
fumecheng-7612	43	30	nonlinear	nonlinear	ADJ
fumecheng-7612	43	31	elastic	elastic	ADJ
fumecheng-7612	43	32	foundation	foundation	NOUN
fumecheng-7612	43	33	by	by	ADP
fumecheng-7612	43	34	using	use	VERB
fumecheng-7612	43	35	the	the	DET
fumecheng-7612	43	36	improved	improve	VERB
fumecheng-7612	43	37	multilevel	multilevel	ADJ
fumecheng-7612	43	38	residual	residual	ADJ
fumecheng-7612	43	39	harmonic	harmonic	ADJ
fumecheng-7612	43	40	balance	balance	NOUN
fumecheng-7612	43	41	method	method	NOUN
fumecheng-7612	43	42	[	[	X
fumecheng-7612	43	43	31	31	NUM
fumecheng-7612	43	44	]	]	PUNCT
fumecheng-7612	43	45	.	.	PUNCT
fumecheng-7612	44	1	li	li	PROPN
fumecheng-7612	44	2	and	and	CCONJ
fumecheng-7612	44	3	xu	xu	PROPN
fumecheng-7612	44	4	proposed	propose	VERB
fumecheng-7612	44	5	an	an	DET
fumecheng-7612	44	6	accurate	accurate	ADJ
fumecheng-7612	44	7	fourier	fourier	NOUN
fumecheng-7612	44	8	series	series	NOUN
fumecheng-7612	44	9	method	method	NOUN
fumecheng-7612	44	10	for	for	ADP
fumecheng-7612	44	11	vibration	vibration	NOUN
fumecheng-7612	44	12	analysis	analysis	NOUN
fumecheng-7612	44	13	of	of	ADP
fumecheng-7612	44	14	multi	multi	ADJ
fumecheng-7612	44	15	span	span	NOUN
fumecheng-7612	44	16	beam	beam	NOUN
fumecheng-7612	44	17	systems	system	NOUN
fumecheng-7612	44	18	under	under	ADP
fumecheng-7612	44	19	arbitrary	arbitrary	ADJ
fumecheng-7612	44	20	boundary	boundary	ADJ
fumecheng-7612	44	21	conditions	condition	NOUN
fumecheng-7612	44	22	[	[	X
fumecheng-7612	44	23	32	32	NUM
fumecheng-7612	44	24	]	]	PUNCT
fumecheng-7612	44	25	.	.	PUNCT
fumecheng-7612	45	1	bai	bai	PROPN
fumecheng-7612	45	2	and	and	CCONJ
fumecheng-7612	45	3	wang	wang	PROPN
fumecheng-7612	45	4	discussed	discuss	VERB
fumecheng-7612	45	5	the	the	DET
fumecheng-7612	45	6	existence	existence	NOUN
fumecheng-7612	45	7	of	of	ADP
fumecheng-7612	45	8	positive	positive	ADJ
fumecheng-7612	45	9	solutions	solution	NOUN
fumecheng-7612	45	10	for	for	ADP
fumecheng-7612	45	11	a	a	DET
fumecheng-7612	45	12	class	class	NOUN
fumecheng-7612	45	13	of	of	ADP
fumecheng-7612	45	14	nonlinear	nonlinear	ADJ
fumecheng-7612	45	15	fourth	fourth	ADJ
fumecheng-7612	45	16	order	order	NOUN
fumecheng-7612	45	17	beam	beam	NOUN
fumecheng-7612	45	18	equations	equation	NOUN
fumecheng-7612	45	19	by	by	ADP
fumecheng-7612	45	20	using	use	VERB
fumecheng-7612	45	21	fixed	fix	VERB
fumecheng-7612	45	22	point	point	NOUN
fumecheng-7612	45	23	theorem	theorem	ADJ
fumecheng-7612	45	24	and	and	CCONJ
fumecheng-7612	45	25	degree	degree	NOUN
fumecheng-7612	45	26	theory	theory	NOUN
fumecheng-7612	45	27	[	[	X
fumecheng-7612	45	28	33	33	NUM
fumecheng-7612	45	29	]	]	PUNCT
fumecheng-7612	45	30	.	.	PUNCT
fumecheng-7612	46	1	wu	wu	PROPN
fumecheng-7612	46	2	proposed	propose	VERB
fumecheng-7612	46	3	an	an	DET
fumecheng-7612	46	4	iterative	iterative	NOUN
fumecheng-7612	46	5	numerical	numerical	ADJ
fumecheng-7612	46	6	method	method	NOUN
fumecheng-7612	46	7	to	to	PART
fumecheng-7612	46	8	solve	solve	VERB
fumecheng-7612	46	9	the	the	DET
fumecheng-7612	46	10	exact	exact	ADJ
fumecheng-7612	46	11	forced	force	VERB
fumecheng-7612	46	12	vibration	vibration	NOUN
fumecheng-7612	46	13	of	of	ADP
fumecheng-7612	46	14	a	a	DET
fumecheng-7612	46	15	cracked	crack	VERB
fumecheng-7612	46	16	beam	beam	NOUN
fumecheng-7612	46	17	by	by	ADP
fumecheng-7612	46	18	considering	consider	VERB
fumecheng-7612	46	19	the	the	DET
fumecheng-7612	46	20	multiple	multiple	ADJ
fumecheng-7612	46	21	modes	mode	NOUN
fumecheng-7612	46	22	and	and	CCONJ
fumecheng-7612	46	23	bilinear	bilinear	NOUN
fumecheng-7612	46	24	characteristics	characteristic	NOUN
fumecheng-7612	46	25	of	of	ADP
fumecheng-7612	46	26	the	the	DET
fumecheng-7612	46	27	cracked	crack	VERB
fumecheng-7612	46	28	beam	beam	NOUN
fumecheng-7612	46	29	[	[	X
fumecheng-7612	46	30	34	34	NUM
fumecheng-7612	46	31	]	]	PUNCT
fumecheng-7612	46	32	.	.	PUNCT
fumecheng-7612	47	1	for	for	ADP
fumecheng-7612	47	2	the	the	DET
fumecheng-7612	47	3	non	non	ADJ
fumecheng-7612	47	4	-	-	ADJ
fumecheng-7612	47	5	uniform	uniform	ADJ
fumecheng-7612	47	6	beam	beam	NOUN
fumecheng-7612	47	7	structure	structure	NOUN
fumecheng-7612	47	8	with	with	ADP
fumecheng-7612	47	9	linear	linear	PROPN
fumecheng-7612	47	10	boundary	boundary	NOUN
fumecheng-7612	47	11	,	,	PUNCT
fumecheng-7612	47	12	especially	especially	ADV
fumecheng-7612	47	13	for	for	ADP
fumecheng-7612	47	14	the	the	DET
fumecheng-7612	47	15	general	general	ADJ
fumecheng-7612	47	16	non	non	ADJ
fumecheng-7612	47	17	-	-	ADJ
fumecheng-7612	47	18	uniform	uniform	ADJ
fumecheng-7612	47	19	beam	beam	NOUN
fumecheng-7612	47	20	with	with	ADP
fumecheng-7612	47	21	both	both	DET
fumecheng-7612	47	22	cross	cross	ADJ
fumecheng-7612	47	23	-	-	ADJ
fumecheng-7612	47	24	section	section	ADJ
fumecheng-7612	47	25	width	width	NOUN
fumecheng-7612	47	26	and	and	CCONJ
fumecheng-7612	47	27	thickness	thickness	NOUN
fumecheng-7612	47	28	changing	change	VERB
fumecheng-7612	47	29	along	along	ADP
fumecheng-7612	47	30	the	the	DET
fumecheng-7612	47	31	beam	beam	NOUN
fumecheng-7612	47	32	length	length	NOUN
fumecheng-7612	47	33	,	,	PUNCT
fumecheng-7612	47	34	adomian	adomian	NOUN
fumecheng-7612	47	35	decomposition	decomposition	NOUN
fumecheng-7612	47	36	method	method	NOUN
fumecheng-7612	47	37	(	(	PUNCT
fumecheng-7612	47	38	adm	adm	PROPN
fumecheng-7612	47	39	)	)	PUNCT
fumecheng-7612	47	40	is	be	AUX
fumecheng-7612	47	41	a	a	DET
fumecheng-7612	47	42	very	very	ADV
fumecheng-7612	47	43	effective	effective	ADJ
fumecheng-7612	47	44	method	method	NOUN
fumecheng-7612	47	45	to	to	PART
fumecheng-7612	47	46	solve	solve	VERB
fumecheng-7612	47	47	its	its	PRON
fumecheng-7612	47	48	natural	natural	ADJ
fumecheng-7612	47	49	frequencies	frequency	NOUN
fumecheng-7612	47	50	and	and	CCONJ
fumecheng-7612	47	51	mode	mode	NOUN
fumecheng-7612	47	52	shape	shape	NOUN
fumecheng-7612	47	53	functions	function	NOUN
fumecheng-7612	47	54	[	[	X
fumecheng-7612	47	55	5	5	NUM
fumecheng-7612	47	56	]	]	PUNCT
fumecheng-7612	47	57	.	.	PUNCT
fumecheng-7612	48	1	the	the	DET
fumecheng-7612	48	2	specific	specific	ADJ
fumecheng-7612	48	3	solving	solving	NOUN
fumecheng-7612	48	4	process	process	NOUN
fumecheng-7612	48	5	of	of	ADP
fumecheng-7612	48	6	adm	adm	PROPN
fumecheng-7612	48	7	is	be	AUX
fumecheng-7612	48	8	to	to	PART
fumecheng-7612	48	9	decompose	decompose	VERB
fumecheng-7612	48	10	the	the	DET
fumecheng-7612	48	11	solution	solution	NOUN
fumecheng-7612	48	12	of	of	ADP
fumecheng-7612	48	13	the	the	DET
fumecheng-7612	48	14	equation	equation	NOUN
fumecheng-7612	48	15	and	and	CCONJ
fumecheng-7612	48	16	express	express	VERB
fumecheng-7612	48	17	it	it	PRON
fumecheng-7612	48	18	in	in	ADP
fumecheng-7612	48	19	the	the	DET
fumecheng-7612	48	20	form	form	NOUN
fumecheng-7612	48	21	of	of	ADP
fumecheng-7612	48	22	infinite	infinite	ADJ
fumecheng-7612	48	23	series	series	NOUN
fumecheng-7612	48	24	sum	sum	NOUN
fumecheng-7612	48	25	[	[	X
fumecheng-7612	48	26	35	35	NUM
fumecheng-7612	48	27	]	]	PUNCT
fumecheng-7612	48	28	.	.	PUNCT
fumecheng-7612	49	1	it	it	PRON
fumecheng-7612	49	2	is	be	AUX
fumecheng-7612	49	3	not	not	PART
fumecheng-7612	49	4	necessary	necessary	ADJ
fumecheng-7612	49	5	to	to	PART
fumecheng-7612	49	6	use	use	VERB
fumecheng-7612	49	7	linearization	linearization	NOUN
fumecheng-7612	49	8	,	,	PUNCT
fumecheng-7612	49	9	perturbation	perturbation	NOUN
fumecheng-7612	49	10	,	,	PUNCT
fumecheng-7612	49	11	iteration	iteration	NOUN
fumecheng-7612	49	12	,	,	PUNCT
fumecheng-7612	49	13	model	model	NOUN
fumecheng-7612	49	14	simplification	simplification	NOUN
fumecheng-7612	49	15	,	,	PUNCT
fumecheng-7612	49	16	difference	difference	NOUN
fumecheng-7612	49	17	method	method	NOUN
fumecheng-7612	49	18	and	and	CCONJ
fumecheng-7612	49	19	finite	finite	ADJ
fumecheng-7612	49	20	element	element	NOUN
fumecheng-7612	49	21	method	method	NOUN
fumecheng-7612	49	22	to	to	PART
fumecheng-7612	49	23	solve	solve	VERB
fumecheng-7612	49	24	the	the	DET
fumecheng-7612	49	25	vibration	vibration	NOUN
fumecheng-7612	49	26	differential	differential	NOUN
fumecheng-7612	49	27	equation	equation	NOUN
fumecheng-7612	49	28	with	with	ADP
fumecheng-7612	49	29	nonlinear	nonlinear	ADJ
fumecheng-7612	49	30	term	term	NOUN
fumecheng-7612	49	31	.	.	PUNCT
fumecheng-7612	50	1	keshmiri	keshmiri	PROPN
fumecheng-7612	50	2	et	et	PROPN
fumecheng-7612	50	3	al	al	PROPN
fumecheng-7612	50	4	.	.	PROPN
fumecheng-7612	50	5	has	have	AUX
fumecheng-7612	50	6	used	use	VERB
fumecheng-7612	50	7	adm	adm	PROPN
fumecheng-7612	50	8	to	to	PART
fumecheng-7612	50	9	do	do	VERB
fumecheng-7612	50	10	the	the	DET
fumecheng-7612	50	11	research	research	NOUN
fumecheng-7612	50	12	work	work	NOUN
fumecheng-7612	50	13	on	on	ADP
fumecheng-7612	50	14	solving	solve	VERB
fumecheng-7612	50	15	the	the	DET
fumecheng-7612	50	16	nature	nature	NOUN
fumecheng-7612	50	17	(	(	PUNCT
fumecheng-7612	50	18	mode	mode	NOUN
fumecheng-7612	50	19	shape	shape	NOUN
fumecheng-7612	50	20	functions	function	NOUN
fumecheng-7612	50	21	and	and	CCONJ
fumecheng-7612	50	22	nature	nature	NOUN
fumecheng-7612	50	23	frequencies	frequency	NOUN
fumecheng-7612	50	24	)	)	PUNCT
fumecheng-7612	50	25	and	and	CCONJ
fumecheng-7612	50	26	energy	energy	NOUN
fumecheng-7612	50	27	harvesting	harvesting	NOUN
fumecheng-7612	50	28	of	of	ADP
fumecheng-7612	50	29	non	non	ADJ
fumecheng-7612	50	30	-	-	ADJ
fumecheng-7612	50	31	uniform	uniform	ADJ
fumecheng-7612	50	32	beam	beam	NOUN
fumecheng-7612	50	33	with	with	ADP
fumecheng-7612	50	34	introducing	introduce	VERB
fumecheng-7612	50	35	taylor	taylor	PROPN
fumecheng-7612	50	36	series	series	NOUN
fumecheng-7612	50	37	[	[	X
fumecheng-7612	50	38	5	5	NUM
fumecheng-7612	50	39	-	-	SYM
fumecheng-7612	50	40	7	7	NUM
fumecheng-7612	50	41	]	]	PUNCT
fumecheng-7612	50	42	.	.	PUNCT
fumecheng-7612	51	1	but	but	CCONJ
fumecheng-7612	51	2	it	it	PRON
fumecheng-7612	51	3	is	be	AUX
fumecheng-7612	51	4	hard	hard	ADJ
fumecheng-7612	51	5	to	to	PART
fumecheng-7612	51	6	obtain	obtain	VERB
fumecheng-7612	51	7	the	the	DET
fumecheng-7612	51	8	general	general	ADJ
fumecheng-7612	51	9	vibration	vibration	NOUN
fumecheng-7612	51	10	response	response	NOUN
fumecheng-7612	51	11	solution	solution	NOUN
fumecheng-7612	51	12	of	of	ADP
fumecheng-7612	51	13	non	non	ADJ
fumecheng-7612	51	14	-	-	ADJ
fumecheng-7612	51	15	uniform	uniform	ADJ
fumecheng-7612	51	16	beam	beam	NOUN
fumecheng-7612	51	17	with	with	ADP
fumecheng-7612	51	18	nonlinear	nonlinear	ADJ
fumecheng-7612	51	19	boundary	boundary	NOUN
fumecheng-7612	51	20	because	because	SCONJ
fumecheng-7612	51	21	the	the	DET
fumecheng-7612	51	22	boundary	boundary	ADJ
fumecheng-7612	51	23	varies	vary	VERB
fumecheng-7612	51	24	with	with	ADP
fumecheng-7612	51	25	time	time	NOUN
fumecheng-7612	51	26	during	during	ADP
fumecheng-7612	51	27	the	the	DET
fumecheng-7612	51	28	vibration	vibration	NOUN
fumecheng-7612	51	29	process	process	NOUN
fumecheng-7612	51	30	for	for	ADP
fumecheng-7612	51	31	the	the	DET
fumecheng-7612	51	32	nonlinear	nonlinear	ADJ
fumecheng-7612	51	33	vibration	vibration	NOUN
fumecheng-7612	51	34	system	system	NOUN
fumecheng-7612	51	35	.	.	PUNCT
fumecheng-7612	52	1	furthermore	furthermore	ADV
fumecheng-7612	52	2	,	,	PUNCT
fumecheng-7612	52	3	the	the	DET
fumecheng-7612	52	4	mode	mode	NOUN
fumecheng-7612	52	5	function	function	NOUN
fumecheng-7612	52	6	and	and	CCONJ
fumecheng-7612	52	7	natural	natural	ADJ
fumecheng-7612	52	8	frequency	frequency	NOUN
fumecheng-7612	52	9	also	also	ADV
fumecheng-7612	52	10	change	change	VERB
fumecheng-7612	52	11	with	with	ADP
fumecheng-7612	52	12	the	the	DET
fumecheng-7612	52	13	boundary	boundary	NOUN
fumecheng-7612	52	14	.	.	PUNCT
fumecheng-7612	53	1	even	even	ADV
fumecheng-7612	53	2	though	though	ADV
fumecheng-7612	53	3	,	,	PUNCT
fumecheng-7612	53	4	there	there	PRON
fumecheng-7612	53	5	are	be	VERB
fumecheng-7612	53	6	also	also	ADV
fumecheng-7612	53	7	some	some	DET
fumecheng-7612	53	8	literatures	literature	NOUN
fumecheng-7612	53	9	on	on	ADP
fumecheng-7612	53	10	the	the	DET
fumecheng-7612	53	11	dynamic	dynamic	ADJ
fumecheng-7612	53	12	problem	problem	NOUN
fumecheng-7612	53	13	of	of	ADP
fumecheng-7612	53	14	non	non	ADJ
fumecheng-7612	53	15	-	-	ADJ
fumecheng-7612	53	16	uniform	uniform	ADJ
fumecheng-7612	53	17	beam	beam	NOUN
fumecheng-7612	53	18	with	with	ADP
fumecheng-7612	53	19	nonlinear	nonlinear	ADJ
fumecheng-7612	53	20	boundary	boundary	ADJ
fumecheng-7612	53	21	condition	condition	NOUN
fumecheng-7612	53	22	.	.	PUNCT
fumecheng-7612	54	1	based	base	VERB
fumecheng-7612	54	2	on	on	ADP
fumecheng-7612	54	3	the	the	DET
fumecheng-7612	54	4	hamiltonian	hamiltonian	ADJ
fumecheng-7612	54	5	principle	principle	NOUN
fumecheng-7612	54	6	,	,	PUNCT
fumecheng-7612	54	7	lin	lin	PROPN
fumecheng-7612	54	8	derived	derive	VERB
fumecheng-7612	54	9	the	the	DET
fumecheng-7612	54	10	governing	govern	VERB
fumecheng-7612	54	11	differential	differential	ADJ
fumecheng-7612	54	12	equations	equation	NOUN
fumecheng-7612	54	13	for	for	ADP
fumecheng-7612	54	14	the	the	DET
fumecheng-7612	54	15	non	non	ADJ
fumecheng-7612	54	16	-	-	ADJ
fumecheng-7612	54	17	uniform	uniform	ADJ
fumecheng-7612	54	18	time	time	NOUN
fumecheng-7612	54	19	-	-	PUNCT
fumecheng-7612	54	20	varying	vary	VERB
fumecheng-7612	54	21	elastic	elastic	ADJ
fumecheng-7612	54	22	boundary	boundary	ADJ
fumecheng-7612	54	23	conditions	condition	NOUN
fumecheng-7612	54	24	of	of	ADP
fumecheng-7612	54	25	the	the	DET
fumecheng-7612	54	26	pre	pre	ADJ
fumecheng-7612	54	27	-	-	ADJ
fumecheng-7612	54	28	twisted	twisted	ADJ
fumecheng-7612	54	29	non	non	ADJ
fumecheng-7612	54	30	-	-	ADJ
fumecheng-7612	54	31	uniform	uniform	ADJ
fumecheng-7612	54	32	beam	beam	NOUN
fumecheng-7612	54	33	with	with	ADP
fumecheng-7612	54	34	coupled	couple	VERB
fumecheng-7612	54	35	bending	bend	VERB
fumecheng-7612	54	36	vibration	vibration	NOUN
fumecheng-7612	54	37	and	and	CCONJ
fumecheng-7612	54	38	solved	solve	VERB
fumecheng-7612	54	39	them	they	PRON
fumecheng-7612	54	40	by	by	ADP
fumecheng-7612	54	41	the	the	DET
fumecheng-7612	54	42	method	method	NOUN
fumecheng-7612	54	43	of	of	ADP
fumecheng-7612	54	44	separation	separation	NOUN
fumecheng-7612	54	45	of	of	ADP
fumecheng-7612	54	46	variables	variable	NOUN
fumecheng-7612	54	47	[	[	X
fumecheng-7612	54	48	36	36	NUM
fumecheng-7612	54	49	]	]	PUNCT
fumecheng-7612	54	50	.	.	PUNCT
fumecheng-7612	55	1	kuo	kuo	PROPN
fumecheng-7612	55	2	and	and	CCONJ
fumecheng-7612	55	3	lee	lee	PROPN
fumecheng-7612	55	4	et	et	PROPN
fumecheng-7612	55	5	al	al	PROPN
fumecheng-7612	55	6	.	.	PROPN
fumecheng-7612	55	7	transformed	transform	VERB
fumecheng-7612	55	8	the	the	DET
fumecheng-7612	55	9	governing	govern	VERB
fumecheng-7612	55	10	differential	differential	ADJ
fumecheng-7612	55	11	equations	equation	NOUN
fumecheng-7612	55	12	into	into	ADP
fumecheng-7612	55	13	a	a	DET
fumecheng-7612	55	14	set	set	NOUN
fumecheng-7612	55	15	of	of	ADP
fumecheng-7612	55	16	self	self	NOUN
fumecheng-7612	55	17	-	-	PUNCT
fumecheng-7612	55	18	adjoint	adjoint	NOUN
fumecheng-7612	55	19	linear	linear	ADJ
fumecheng-7612	55	20	fourth	fourth	ADJ
fumecheng-7612	55	21	-	-	PUNCT
fumecheng-7612	55	22	order	order	NOUN
fumecheng-7612	55	23	ordinary	ordinary	ADJ
fumecheng-7612	55	24	differential	differential	ADJ
fumecheng-7612	55	25	equations	equation	NOUN
fumecheng-7612	55	26	with	with	ADP
fumecheng-7612	55	27	variable	variable	ADJ
fumecheng-7612	55	28	coefficients	coefficient	NOUN
fumecheng-7612	55	29	by	by	ADP
fumecheng-7612	55	30	using	use	VERB
fumecheng-7612	55	31	the	the	DET
fumecheng-7612	55	32	perturbation	perturbation	NOUN
fumecheng-7612	55	33	method	method	NOUN
fumecheng-7612	55	34	,	,	PUNCT
fumecheng-7612	55	35	and	and	CCONJ
fumecheng-7612	55	36	studied	study	VERB
fumecheng-7612	55	37	the	the	DET
fumecheng-7612	55	38	static	static	ADJ
fumecheng-7612	55	39	deflection	deflection	NOUN
fumecheng-7612	55	40	of	of	ADP
fumecheng-7612	55	41	a	a	DET
fumecheng-7612	55	42	general	general	ADJ
fumecheng-7612	55	43	elastic	elastic	ADJ
fumecheng-7612	55	44	end	end	NOUN
fumecheng-7612	55	45	-	-	PUNCT
fumecheng-7612	55	46	constrained	constrain	VERB
fumecheng-7612	55	47	non	non	ADJ
fumecheng-7612	55	48	-	-	ADJ
fumecheng-7612	55	49	uniform	uniform	ADJ
fumecheng-7612	55	50	beam	beam	NOUN
fumecheng-7612	55	51	on	on	ADP
fumecheng-7612	55	52	nonlinear	nonlinear	ADJ
fumecheng-7612	55	53	elastic	elastic	ADJ
fumecheng-7612	55	54	foundation	foundation	NOUN
fumecheng-7612	55	55	bearing	bear	VERB
fumecheng-7612	55	56	axial	axial	ADJ
fumecheng-7612	55	57	and	and	CCONJ
fumecheng-7612	55	58	transverse	transverse	NOUN
fumecheng-7612	55	59	forces	force	NOUN
fumecheng-7612	55	60	[	[	X
fumecheng-7612	55	61	37	37	NUM
fumecheng-7612	55	62	]	]	PUNCT
fumecheng-7612	55	63	.	.	PUNCT
fumecheng-7612	56	1	lee	lee	PROPN
fumecheng-7612	56	2	et	et	PROPN
fumecheng-7612	56	3	al	al	PROPN
fumecheng-7612	56	4	.	.	PROPN
fumecheng-7612	56	5	extended	extend	VERB
fumecheng-7612	56	6	the	the	DET
fumecheng-7612	56	7	mindlin	mindlin	PROPN
fumecheng-7612	56	8	-	-	PUNCT
fumecheng-7612	56	9	goodman	goodman	PROPN
fumecheng-7612	56	10	method	method	NOUN
fumecheng-7612	56	11	and	and	CCONJ
fumecheng-7612	56	12	used	use	VERB
fumecheng-7612	56	13	the	the	DET
fumecheng-7612	56	14	exact	exact	ADJ
fumecheng-7612	56	15	solution	solution	NOUN
fumecheng-7612	56	16	of	of	ADP
fumecheng-7612	56	17	the	the	DET
fumecheng-7612	56	18	general	general	ADJ
fumecheng-7612	56	19	elastic	elastic	ADJ
fumecheng-7612	56	20	constraint	constraint	NOUN
fumecheng-7612	56	21	non	non	ADJ
fumecheng-7612	56	22	-	-	ADJ
fumecheng-7612	56	23	uniform	uniform	ADJ
fumecheng-7612	56	24	beam	beam	NOUN
fumecheng-7612	56	25	given	give	VERB
fumecheng-7612	56	26	by	by	ADP
fumecheng-7612	56	27	lee	lee	PROPN
fumecheng-7612	56	28	and	and	CCONJ
fumecheng-7612	56	29	kuo	kuo	PROPN
fumecheng-7612	56	30	to	to	PART
fumecheng-7612	56	31	study	study	VERB
fumecheng-7612	56	32	the	the	DET
fumecheng-7612	56	33	dynamic	dynamic	ADJ
fumecheng-7612	56	34	and	and	CCONJ
fumecheng-7612	56	35	static	static	ADJ
fumecheng-7612	56	36	responses	response	NOUN
fumecheng-7612	56	37	of	of	ADP
fumecheng-7612	56	38	the	the	DET
fumecheng-7612	56	39	non	non	ADJ
fumecheng-7612	56	40	-	-	ADJ
fumecheng-7612	56	41	uniform	uniform	ADJ
fumecheng-7612	56	42	beam	beam	NOUN
fumecheng-7612	56	43	with	with	ADP
fumecheng-7612	56	44	non	non	ADJ
fumecheng-7612	56	45	-	-	ADJ
fumecheng-7612	56	46	uniform	uniform	ADJ
fumecheng-7612	56	47	elastic	elastic	ADJ
fumecheng-7612	56	48	boundary	boundary	ADJ
fumecheng-7612	56	49	conditions	condition	NOUN
fumecheng-7612	57	1	[	[	X
fumecheng-7612	57	2	38	38	NUM
fumecheng-7612	57	3	]	]	PUNCT
fumecheng-7612	57	4	.	.	PUNCT
fumecheng-7612	58	1	tsiatas	tsiata	NOUN
fumecheng-7612	58	2	proposed	propose	VERB
fumecheng-7612	58	3	a	a	DET
fumecheng-7612	58	4	boundary	boundary	ADJ
fumecheng-7612	58	5	integral	integral	ADJ
fumecheng-7612	58	6	equation	equation	NOUN
fumecheng-7612	58	7	method	method	NOUN
fumecheng-7612	58	8	for	for	ADP
fumecheng-7612	58	9	solving	solve	VERB
fumecheng-7612	58	10	nonlinear	nonlinear	ADJ
fumecheng-7612	58	11	problems	problem	NOUN
fumecheng-7612	58	12	of	of	ADP
fumecheng-7612	58	13	non	non	ADJ
fumecheng-7612	58	14	-	-	ADJ
fumecheng-7612	58	15	uniform	uniform	ADJ
fumecheng-7612	58	16	beams	beam	NOUN
fumecheng-7612	58	17	on	on	ADP
fumecheng-7612	58	18	nonlinear	nonlinear	ADJ
fumecheng-7612	58	19	three	three	NUM
fumecheng-7612	58	20	parameter	parameter	NOUN
fumecheng-7612	58	21	elastic	elastic	ADJ
fumecheng-7612	58	22	foundation	foundation	NOUN
fumecheng-7612	59	1	[	[	X
fumecheng-7612	59	2	39	39	NUM
fumecheng-7612	59	3	]	]	PUNCT
fumecheng-7612	59	4	.	.	PUNCT
fumecheng-7612	60	1	jang	jang	PROPN
fumecheng-7612	60	2	proposed	propose	VERB
fumecheng-7612	60	3	an	an	DET
fumecheng-7612	60	4	analysis	analysis	NOUN
fumecheng-7612	60	5	method	method	NOUN
fumecheng-7612	60	6	of	of	ADP
fumecheng-7612	60	7	moderately	moderately	ADV
fumecheng-7612	60	8	large	large	ADJ
fumecheng-7612	60	9	deflections	deflection	NOUN
fumecheng-7612	60	10	,	,	PUNCT
fumecheng-7612	60	11	which	which	PRON
fumecheng-7612	60	12	effectively	effectively	ADV
fumecheng-7612	60	13	considered	consider	VERB
fumecheng-7612	60	14	the	the	DET
fumecheng-7612	60	15	geometric	geometric	ADJ
fumecheng-7612	60	16	nonlinearity	nonlinearity	NOUN
fumecheng-7612	60	17	caused	cause	VERB
fumecheng-7612	60	18	by	by	ADP
fumecheng-7612	60	19	the	the	DET
fumecheng-7612	60	20	moderately	moderately	ADV
fumecheng-7612	60	21	large	large	ADJ
fumecheng-7612	60	22	deflections	deflection	NOUN
fumecheng-7612	60	23	and	and	CCONJ
fumecheng-7612	60	24	the	the	DET
fumecheng-7612	60	25	non	non	NOUN
fumecheng-7612	60	26	-	-	NOUN
fumecheng-7612	60	27	uniformity	uniformity	NOUN
fumecheng-7612	60	28	of	of	ADP
fumecheng-7612	60	29	the	the	DET
fumecheng-7612	60	30	beam	beam	NOUN
fumecheng-7612	60	31	,	,	PUNCT
fumecheng-7612	60	32	and	and	CCONJ
fumecheng-7612	60	33	successfully	successfully	ADV
fumecheng-7612	60	34	and	and	CCONJ
fumecheng-7612	60	35	completely	completely	ADV
fumecheng-7612	60	36	solved	solve	VERB
fumecheng-7612	60	37	the	the	DET
fumecheng-7612	60	38	moderately	moderately	ADV
fumecheng-7612	60	39	large	large	ADJ
fumecheng-7612	60	40	deflections	deflection	NOUN
fumecheng-7612	60	41	of	of	ADP
fumecheng-7612	60	42	the	the	DET
fumecheng-7612	60	43	infinitely	infinitely	ADV
fumecheng-7612	60	44	large	large	ADJ
fumecheng-7612	60	45	non	non	ADJ
fumecheng-7612	60	46	-	-	ADJ
fumecheng-7612	60	47	uniform	uniform	ADJ
fumecheng-7612	60	48	beam	beam	NOUN
fumecheng-7612	60	49	on	on	ADP
fumecheng-7612	60	50	the	the	DET
fumecheng-7612	60	51	base	base	NOUN
fumecheng-7612	60	52	of	of	ADP
fumecheng-7612	60	53	nonlinear	nonlinear	ADJ
fumecheng-7612	60	54	elasticity	elasticity	NOUN
fumecheng-7612	60	55	question	question	NOUN
fumecheng-7612	60	56	[	[	X
fumecheng-7612	60	57	40	40	NUM
fumecheng-7612	60	58	]	]	PUNCT
fumecheng-7612	60	59	.	.	PUNCT
fumecheng-7612	61	1	lohar	lohar	PROPN
fumecheng-7612	61	2	et	et	PROPN
fumecheng-7612	61	3	al	al	PROPN
fumecheng-7612	61	4	.	.	PROPN
fumecheng-7612	61	5	assumed	assume	VERB
fumecheng-7612	61	6	that	that	SCONJ
fumecheng-7612	61	7	the	the	DET
fumecheng-7612	61	8	beam	beam	NOUN
fumecheng-7612	61	9	is	be	AUX
fumecheng-7612	61	10	on	on	ADP
fumecheng-7612	61	11	an	an	DET
fumecheng-7612	61	12	elastic	elastic	ADJ
fumecheng-7612	61	13	foundation	foundation	NOUN
fumecheng-7612	61	14	and	and	CCONJ
fumecheng-7612	61	15	bears	bear	VERB
fumecheng-7612	61	16	uniformly	uniformly	ADV
fumecheng-7612	61	17	distributed	distribute	VERB
fumecheng-7612	61	18	loads	load	NOUN
fumecheng-7612	61	19	.	.	PUNCT
fumecheng-7612	62	1	considering	consider	VERB
fumecheng-7612	62	2	different	different	ADJ
fumecheng-7612	62	3	boundary	boundary	ADJ
fumecheng-7612	62	4	conditions	condition	NOUN
fumecheng-7612	62	5	,	,	PUNCT
fumecheng-7612	62	6	static	static	ADJ
fumecheng-7612	62	7	and	and	CCONJ
fumecheng-7612	62	8	dynamic	dynamic	ADJ
fumecheng-7612	62	9	parts	part	NOUN
fumecheng-7612	62	10	are	be	AUX
fumecheng-7612	62	11	used	use	VERB
fumecheng-7612	62	12	to	to	PART
fumecheng-7612	62	13	solve	solve	VERB
fumecheng-7612	62	14	the	the	DET
fumecheng-7612	62	15	large	large	ADJ
fumecheng-7612	62	16	-	-	PUNCT
fumecheng-7612	62	17	amplitude	amplitude	NOUN
fumecheng-7612	62	18	free	free	ADJ
fumecheng-7612	62	19	vibration	vibration	NOUN
fumecheng-7612	62	20	behavior	behavior	NOUN
fumecheng-7612	62	21	of	of	ADP
fumecheng-7612	62	22	axially	axially	ADV
fumecheng-7612	62	23	functionally	functionally	ADV
fumecheng-7612	62	24	graded	grade	VERB
fumecheng-7612	62	25	beams	beam	NOUN
fumecheng-7612	62	26	with	with	ADP
fumecheng-7612	62	27	different	different	ADJ
fumecheng-7612	62	28	tapers	taper	NOUN
fumecheng-7612	63	1	[	[	X
fumecheng-7612	63	2	41	41	NUM
fumecheng-7612	63	3	]	]	PUNCT
fumecheng-7612	63	4	.	.	PUNCT
fumecheng-7612	64	1	these	these	DET
fumecheng-7612	64	2	methods	method	NOUN
fumecheng-7612	64	3	are	be	AUX
fumecheng-7612	64	4	used	use	VERB
fumecheng-7612	64	5	to	to	PART
fumecheng-7612	64	6	transform	transform	VERB
fumecheng-7612	64	7	or	or	CCONJ
fumecheng-7612	64	8	approximate	approximate	VERB
fumecheng-7612	64	9	the	the	DET
fumecheng-7612	64	10	vibration	vibration	NOUN
fumecheng-7612	64	11	governing	govern	VERB
fumecheng-7612	64	12	equations	equation	NOUN
fumecheng-7612	64	13	of	of	ADP
fumecheng-7612	64	14	non	non	ADJ
fumecheng-7612	64	15	-	-	ADJ
fumecheng-7612	64	16	uniform	uniform	ADJ
fumecheng-7612	64	17	beam	beam	NOUN
fumecheng-7612	64	18	with	with	ADP
fumecheng-7612	64	19	nonlinear	nonlinear	ADJ
fumecheng-7612	64	20	boundary	boundary	NOUN
fumecheng-7612	64	21	.	.	PUNCT
fumecheng-7612	65	1	the	the	DET
fumecheng-7612	65	2	transformation	transformation	NOUN
fumecheng-7612	65	3	process	process	NOUN
fumecheng-7612	65	4	is	be	AUX
fumecheng-7612	65	5	complex	complex	ADJ
fumecheng-7612	65	6	,	,	PUNCT
fumecheng-7612	65	7	and	and	CCONJ
fumecheng-7612	65	8	some	some	DET
fumecheng-7612	65	9	transformed	transform	VERB
fumecheng-7612	65	10	equations	equation	NOUN
fumecheng-7612	65	11	can	can	AUX
fumecheng-7612	65	12	not	not	PART
fumecheng-7612	65	13	be	be	AUX
fumecheng-7612	65	14	solved	solve	VERB
fumecheng-7612	65	15	directly	directly	ADV
fumecheng-7612	65	16	,	,	PUNCT
fumecheng-7612	65	17	so	so	CCONJ
fumecheng-7612	65	18	numerical	numerical	ADJ
fumecheng-7612	65	19	approximation	approximation	NOUN
fumecheng-7612	65	20	method	method	NOUN
fumecheng-7612	65	21	have	have	VERB
fumecheng-7612	65	22	to	to	PART
fumecheng-7612	65	23	be	be	AUX
fumecheng-7612	65	24	used	use	VERB
fumecheng-7612	65	25	to	to	PART
fumecheng-7612	65	26	solve	solve	VERB
fumecheng-7612	65	27	them	they	PRON
fumecheng-7612	65	28	anyway	anyway	ADV
fumecheng-7612	65	29	.	.	PUNCT
fumecheng-7612	66	1	from	from	ADP
fumecheng-7612	66	2	the	the	DET
fumecheng-7612	66	3	literature	literature	PROPN
fumecheng-7612	66	4	review	review	PROPN
fumecheng-7612	66	5	,	,	PUNCT
fumecheng-7612	66	6	different	different	ADJ
fumecheng-7612	66	7	models	model	NOUN
fumecheng-7612	66	8	and	and	CCONJ
fumecheng-7612	66	9	methods	method	NOUN
fumecheng-7612	66	10	were	be	AUX
fumecheng-7612	66	11	proposed	propose	VERB
fumecheng-7612	66	12	to	to	PART
fumecheng-7612	66	13	study	study	VERB
fumecheng-7612	66	14	the	the	DET
fumecheng-7612	66	15	vibration	vibration	NOUN
fumecheng-7612	66	16	characteristics	characteristic	NOUN
fumecheng-7612	66	17	of	of	ADP
fumecheng-7612	66	18	uniform	uniform	ADJ
fumecheng-7612	66	19	and	and	CCONJ
fumecheng-7612	66	20	non	non	ADJ
fumecheng-7612	66	21	-	-	ADJ
fumecheng-7612	66	22	uniform	uniform	ADJ
fumecheng-7612	66	23	beam	beam	NOUN
fumecheng-7612	66	24	structure	structure	NOUN
fumecheng-7612	66	25	with	with	ADP
fumecheng-7612	66	26	nonlinear	nonlinear	ADJ
fumecheng-7612	66	27	boundary	boundary	NOUN
fumecheng-7612	66	28	,	,	PUNCT
fumecheng-7612	66	29	but	but	CCONJ
fumecheng-7612	66	30	to	to	ADP
fumecheng-7612	66	31	the	the	DET
fumecheng-7612	66	32	best	good	ADJ
fumecheng-7612	66	33	of	of	ADP
fumecheng-7612	66	34	authors	author	NOUN
fumecheng-7612	66	35	’	'	PUNCT
fumecheng-7612	66	36	knowledge	knowledge	NOUN
fumecheng-7612	66	37	,	,	PUNCT
fumecheng-7612	66	38	the	the	DET
fumecheng-7612	66	39	solution	solution	NOUN
fumecheng-7612	66	40	without	without	ADP
fumecheng-7612	66	41	transforming	transform	VERB
fumecheng-7612	66	42	the	the	DET
fumecheng-7612	66	43	vibration	vibration	NOUN
fumecheng-7612	66	44	784	784	NUM
fumecheng-7612	66	45	p.	p.	NOUN
fumecheng-7612	66	46	wang	wang	PROPN
fumecheng-7612	66	47	,	,	PUNCT
fumecheng-7612	66	48	n.	n.	PROPN
fumecheng-7612	66	49	wu	wu	PROPN
fumecheng-7612	66	50	,	,	PUNCT
fumecheng-7612	66	51	h.	h.	PROPN
fumecheng-7612	66	52	luo	luo	PROPN
fumecheng-7612	66	53	,	,	PUNCT
fumecheng-7612	67	1	z.	z.	PROPN
fumecheng-7612	67	2	sun	sun	PROPN
fumecheng-7612	67	3	governing	govern	VERB
fumecheng-7612	67	4	equation	equation	NOUN
fumecheng-7612	67	5	to	to	PART
fumecheng-7612	67	6	solve	solve	VERB
fumecheng-7612	67	7	the	the	DET
fumecheng-7612	67	8	vibration	vibration	NOUN
fumecheng-7612	67	9	response	response	NOUN
fumecheng-7612	67	10	of	of	ADP
fumecheng-7612	67	11	general	general	ADJ
fumecheng-7612	67	12	non	non	ADJ
fumecheng-7612	67	13	-	-	ADJ
fumecheng-7612	67	14	uniform	uniform	ADJ
fumecheng-7612	67	15	beam	beam	NOUN
fumecheng-7612	67	16	(	(	PUNCT
fumecheng-7612	67	17	linearly	linearly	ADV
fumecheng-7612	67	18	or	or	CCONJ
fumecheng-7612	67	19	nonlinearly	nonlinearly	ADV
fumecheng-7612	67	20	tapered	taper	VERB
fumecheng-7612	67	21	along	along	ADP
fumecheng-7612	67	22	both	both	CCONJ
fumecheng-7612	67	23	width	width	ADJ
fumecheng-7612	67	24	and	and	CCONJ
fumecheng-7612	67	25	thickness	thickness	NOUN
fumecheng-7612	67	26	of	of	ADP
fumecheng-7612	67	27	beam	beam	PROPN
fumecheng-7612	67	28	cross	cross	NOUN
fumecheng-7612	67	29	-	-	NOUN
fumecheng-7612	67	30	section	section	NOUN
fumecheng-7612	67	31	)	)	PUNCT
fumecheng-7612	67	32	with	with	ADP
fumecheng-7612	67	33	a	a	DET
fumecheng-7612	67	34	nonlinear	nonlinear	ADJ
fumecheng-7612	67	35	taper	taper	NOUN
fumecheng-7612	67	36	function	function	NOUN
fumecheng-7612	67	37	describing	describe	VERB
fumecheng-7612	67	38	the	the	DET
fumecheng-7612	67	39	variation	variation	NOUN
fumecheng-7612	67	40	of	of	ADP
fumecheng-7612	67	41	both	both	CCONJ
fumecheng-7612	67	42	width	width	ADJ
fumecheng-7612	67	43	and	and	CCONJ
fumecheng-7612	67	44	thickness	thickness	NOUN
fumecheng-7612	67	45	along	along	ADP
fumecheng-7612	67	46	the	the	DET
fumecheng-7612	67	47	length	length	NOUN
fumecheng-7612	67	48	direction	direction	NOUN
fumecheng-7612	67	49	(	(	PUNCT
fumecheng-7612	67	50	including	include	VERB
fumecheng-7612	67	51	non	non	ADJ
fumecheng-7612	67	52	-	-	ADJ
fumecheng-7612	67	53	uniform	uniform	ADJ
fumecheng-7612	67	54	cylinder	cylinder	NOUN
fumecheng-7612	67	55	beam	beam	NOUN
fumecheng-7612	67	56	)	)	PUNCT
fumecheng-7612	67	57	and	and	CCONJ
fumecheng-7612	67	58	nonlinear	nonlinear	ADJ
fumecheng-7612	67	59	boundary	boundary	NOUN
fumecheng-7612	67	60	has	have	AUX
fumecheng-7612	67	61	not	not	PART
fumecheng-7612	67	62	been	be	AUX
fumecheng-7612	67	63	proposed	propose	VERB
fumecheng-7612	67	64	.	.	PUNCT
fumecheng-7612	68	1	in	in	ADP
fumecheng-7612	68	2	this	this	DET
fumecheng-7612	68	3	paper	paper	NOUN
fumecheng-7612	68	4	,	,	PUNCT
fumecheng-7612	68	5	the	the	DET
fumecheng-7612	68	6	adm	adm	NOUN
fumecheng-7612	68	7	method	method	NOUN
fumecheng-7612	68	8	and	and	CCONJ
fumecheng-7612	68	9	an	an	DET
fumecheng-7612	68	10	iteration	iteration	NOUN
fumecheng-7612	68	11	process	process	NOUN
fumecheng-7612	68	12	are	be	AUX
fumecheng-7612	68	13	introduced	introduce	VERB
fumecheng-7612	68	14	to	to	PART
fumecheng-7612	68	15	solve	solve	VERB
fumecheng-7612	68	16	,	,	PUNCT
fumecheng-7612	68	17	simulate	simulate	VERB
fumecheng-7612	68	18	and	and	CCONJ
fumecheng-7612	68	19	study	study	VERB
fumecheng-7612	68	20	the	the	DET
fumecheng-7612	68	21	vibration	vibration	NOUN
fumecheng-7612	68	22	response	response	NOUN
fumecheng-7612	68	23	of	of	ADP
fumecheng-7612	68	24	non	non	ADJ
fumecheng-7612	68	25	-	-	ADJ
fumecheng-7612	68	26	uniform	uniform	ADJ
fumecheng-7612	68	27	beam	beam	NOUN
fumecheng-7612	68	28	with	with	ADP
fumecheng-7612	68	29	nonlinear	nonlinear	ADJ
fumecheng-7612	68	30	boundary	boundary	ADJ
fumecheng-7612	68	31	condition	condition	NOUN
fumecheng-7612	68	32	.	.	PUNCT
fumecheng-7612	69	1	under	under	ADP
fumecheng-7612	69	2	solid	solid	ADJ
fumecheng-7612	69	3	spring	spring	NOUN
fumecheng-7612	69	4	properties	property	NOUN
fumecheng-7612	69	5	,	,	PUNCT
fumecheng-7612	69	6	the	the	DET
fumecheng-7612	69	7	vibration	vibration	NOUN
fumecheng-7612	69	8	response	response	NOUN
fumecheng-7612	69	9	of	of	ADP
fumecheng-7612	69	10	the	the	DET
fumecheng-7612	69	11	non	non	ADJ
fumecheng-7612	69	12	-	-	ADJ
fumecheng-7612	69	13	uniform	uniform	ADJ
fumecheng-7612	69	14	beam	beam	NOUN
fumecheng-7612	69	15	can	can	AUX
fumecheng-7612	69	16	be	be	AUX
fumecheng-7612	69	17	solved	solve	VERB
fumecheng-7612	69	18	by	by	ADP
fumecheng-7612	69	19	adm	adm	PROPN
fumecheng-7612	69	20	and	and	CCONJ
fumecheng-7612	69	21	duhamel	duhamel	VERB
fumecheng-7612	69	22	integral	integral	PROPN
fumecheng-7612	69	23	.	.	PUNCT
fumecheng-7612	70	1	in	in	ADP
fumecheng-7612	70	2	the	the	DET
fumecheng-7612	70	3	numerical	numerical	ADJ
fumecheng-7612	70	4	example	example	NOUN
fumecheng-7612	70	5	section	section	NOUN
fumecheng-7612	70	6	,	,	PUNCT
fumecheng-7612	70	7	the	the	DET
fumecheng-7612	70	8	influences	influence	NOUN
fumecheng-7612	70	9	of	of	ADP
fumecheng-7612	70	10	different	different	ADJ
fumecheng-7612	70	11	excitation	excitation	NOUN
fumecheng-7612	70	12	amplitudes	amplitude	NOUN
fumecheng-7612	70	13	and	and	CCONJ
fumecheng-7612	70	14	frequencies	frequency	NOUN
fumecheng-7612	70	15	on	on	ADP
fumecheng-7612	70	16	boundary	boundary	ADJ
fumecheng-7612	70	17	nonlinearity	nonlinearity	NOUN
fumecheng-7612	70	18	are	be	AUX
fumecheng-7612	70	19	studied	study	VERB
fumecheng-7612	70	20	.	.	PUNCT
fumecheng-7612	71	1	when	when	SCONJ
fumecheng-7612	71	2	the	the	DET
fumecheng-7612	71	3	properties	property	NOUN
fumecheng-7612	71	4	of	of	ADP
fumecheng-7612	71	5	the	the	DET
fumecheng-7612	71	6	spring	spring	NOUN
fumecheng-7612	71	7	are	be	AUX
fumecheng-7612	71	8	determined	determine	VERB
fumecheng-7612	71	9	,	,	PUNCT
fumecheng-7612	71	10	the	the	DET
fumecheng-7612	71	11	proposed	propose	VERB
fumecheng-7612	71	12	iterative	iterative	NOUN
fumecheng-7612	71	13	method	method	NOUN
fumecheng-7612	71	14	can	can	AUX
fumecheng-7612	71	15	be	be	AUX
fumecheng-7612	71	16	used	use	VERB
fumecheng-7612	71	17	to	to	PART
fumecheng-7612	71	18	solve	solve	VERB
fumecheng-7612	71	19	the	the	DET
fumecheng-7612	71	20	vibration	vibration	NOUN
fumecheng-7612	71	21	response	response	NOUN
fumecheng-7612	71	22	of	of	ADP
fumecheng-7612	71	23	the	the	DET
fumecheng-7612	71	24	non	non	ADJ
fumecheng-7612	71	25	-	-	ADJ
fumecheng-7612	71	26	uniform	uniform	ADJ
fumecheng-7612	71	27	beam	beam	NOUN
fumecheng-7612	71	28	with	with	ADP
fumecheng-7612	71	29	nonlinear	nonlinear	ADJ
fumecheng-7612	71	30	boundary	boundary	NOUN
fumecheng-7612	71	31	.	.	PUNCT
fumecheng-7612	72	1	2	2	X
fumecheng-7612	72	2	.	.	X
fumecheng-7612	72	3	theoretical	theoretical	ADJ
fumecheng-7612	72	4	model	model	NOUN
fumecheng-7612	72	5	in	in	ADP
fumecheng-7612	72	6	this	this	DET
fumecheng-7612	72	7	section	section	NOUN
fumecheng-7612	72	8	,	,	PUNCT
fumecheng-7612	72	9	general	general	ADJ
fumecheng-7612	72	10	mathematical	mathematical	ADJ
fumecheng-7612	72	11	model	model	NOUN
fumecheng-7612	72	12	and	and	CCONJ
fumecheng-7612	72	13	numerical	numerical	ADJ
fumecheng-7612	72	14	progress	progress	NOUN
fumecheng-7612	72	15	describing	describe	VERB
fumecheng-7612	72	16	and	and	CCONJ
fumecheng-7612	72	17	solving	solve	VERB
fumecheng-7612	72	18	the	the	DET
fumecheng-7612	72	19	vibration	vibration	NOUN
fumecheng-7612	72	20	of	of	ADP
fumecheng-7612	72	21	a	a	DET
fumecheng-7612	72	22	non	non	ADJ
fumecheng-7612	72	23	-	-	ADJ
fumecheng-7612	72	24	uniform	uniform	ADJ
fumecheng-7612	72	25	beam	beam	NOUN
fumecheng-7612	72	26	sitting	sit	VERB
fumecheng-7612	72	27	on	on	ADP
fumecheng-7612	72	28	a	a	DET
fumecheng-7612	72	29	non	non	ADJ
fumecheng-7612	72	30	-	-	ADJ
fumecheng-7612	72	31	linear	linear	ADJ
fumecheng-7612	72	32	boundary	boundary	NOUN
fumecheng-7612	72	33	are	be	AUX
fumecheng-7612	72	34	presented	present	VERB
fumecheng-7612	72	35	.	.	PUNCT
fumecheng-7612	73	1	the	the	DET
fumecheng-7612	73	2	nonlinear	nonlinear	ADJ
fumecheng-7612	73	3	boundary	boundary	ADJ
fumecheng-7612	73	4	condition	condition	NOUN
fumecheng-7612	73	5	is	be	AUX
fumecheng-7612	73	6	considered	consider	VERB
fumecheng-7612	73	7	to	to	PART
fumecheng-7612	73	8	be	be	AUX
fumecheng-7612	73	9	with	with	ADP
fumecheng-7612	73	10	multi	multi	ADJ
fumecheng-7612	73	11	-	-	ADJ
fumecheng-7612	73	12	linear	linear	ADJ
fumecheng-7612	73	13	elastic	elastic	ADJ
fumecheng-7612	73	14	properties	property	NOUN
fumecheng-7612	73	15	,	,	PUNCT
fumecheng-7612	73	16	while	while	SCONJ
fumecheng-7612	73	17	adm	adm	PROPN
fumecheng-7612	73	18	method	method	NOUN
fumecheng-7612	73	19	is	be	AUX
fumecheng-7612	73	20	used	use	VERB
fumecheng-7612	73	21	to	to	PART
fumecheng-7612	73	22	solve	solve	VERB
fumecheng-7612	73	23	the	the	DET
fumecheng-7612	73	24	natures	nature	NOUN
fumecheng-7612	73	25	of	of	ADP
fumecheng-7612	73	26	the	the	DET
fumecheng-7612	73	27	non	non	ADJ
fumecheng-7612	73	28	-	-	ADJ
fumecheng-7612	73	29	uniformed	uniformed	ADJ
fumecheng-7612	73	30	beam	beam	NOUN
fumecheng-7612	73	31	with	with	ADP
fumecheng-7612	73	32	different	different	ADJ
fumecheng-7612	73	33	linear	linear	ADJ
fumecheng-7612	73	34	elastic	elastic	ADJ
fumecheng-7612	73	35	foundation	foundation	NOUN
fumecheng-7612	73	36	,	,	PUNCT
fumecheng-7612	73	37	and	and	CCONJ
fumecheng-7612	73	38	the	the	DET
fumecheng-7612	73	39	iteration	iteration	NOUN
fumecheng-7612	73	40	numerical	numerical	ADJ
fumecheng-7612	73	41	method	method	NOUN
fumecheng-7612	73	42	is	be	AUX
fumecheng-7612	73	43	applied	apply	VERB
fumecheng-7612	73	44	to	to	PART
fumecheng-7612	73	45	solve	solve	VERB
fumecheng-7612	73	46	the	the	DET
fumecheng-7612	73	47	vibration	vibration	NOUN
fumecheng-7612	73	48	response	response	NOUN
fumecheng-7612	73	49	considering	consider	VERB
fumecheng-7612	73	50	the	the	DET
fumecheng-7612	73	51	linear	linear	ADJ
fumecheng-7612	73	52	boundary	boundary	ADJ
fumecheng-7612	73	53	condition	condition	NOUN
fumecheng-7612	73	54	in	in	ADP
fumecheng-7612	73	55	each	each	DET
fumecheng-7612	73	56	short	short	ADJ
fumecheng-7612	73	57	time	time	NOUN
fumecheng-7612	73	58	iteration	iteration	NOUN
fumecheng-7612	73	59	step	step	NOUN
fumecheng-7612	73	60	.	.	PUNCT
fumecheng-7612	74	1	2.1	2.1	NUM
fumecheng-7612	74	2	.	.	PUNCT
fumecheng-7612	74	3	vibration	vibration	NOUN
fumecheng-7612	74	4	model	model	NOUN
fumecheng-7612	74	5	of	of	ADP
fumecheng-7612	74	6	non	non	ADJ
fumecheng-7612	74	7	-	-	ADJ
fumecheng-7612	74	8	uniformed	uniformed	ADJ
fumecheng-7612	74	9	beam	beam	NOUN
fumecheng-7612	74	10	sitting	sit	VERB
fumecheng-7612	74	11	on	on	ADP
fumecheng-7612	74	12	elastic	elastic	ADJ
fumecheng-7612	74	13	foundation	foundation	NOUN
fumecheng-7612	74	14	the	the	DET
fumecheng-7612	74	15	equation	equation	NOUN
fumecheng-7612	74	16	of	of	ADP
fumecheng-7612	74	17	free	free	ADJ
fumecheng-7612	74	18	vibration	vibration	NOUN
fumecheng-7612	74	19	of	of	ADP
fumecheng-7612	74	20	a	a	DET
fumecheng-7612	74	21	non	non	ADJ
fumecheng-7612	74	22	-	-	ADJ
fumecheng-7612	74	23	uniform	uniform	ADJ
fumecheng-7612	74	24	beam	beam	NOUN
fumecheng-7612	74	25	without	without	ADP
fumecheng-7612	74	26	considering	consider	VERB
fumecheng-7612	74	27	damping	damp	VERB
fumecheng-7612	74	28	is	be	AUX
fumecheng-7612	74	29	given	give	VERB
fumecheng-7612	74	30	below	below	ADP
fumecheng-7612	74	31	,	,	PUNCT
fumecheng-7612	74	32	2	2	NUM
fumecheng-7612	74	33	2	2	NUM
fumecheng-7612	74	34	2	2	NUM
fumecheng-7612	74	35	2	2	NUM
fumecheng-7612	74	36	2	2	NUM
fumecheng-7612	74	37	2	2	NUM
fumecheng-7612	74	38	(	(	PUNCT
fumecheng-7612	74	39	,	,	PUNCT
fumecheng-7612	74	40	)	)	PUNCT
fumecheng-7612	74	41	(	(	PUNCT
fumecheng-7612	74	42	,	,	PUNCT
fumecheng-7612	74	43	)	)	PUNCT
fumecheng-7612	74	44	(	(	PUNCT
fumecheng-7612	74	45	)	)	PUNCT
fumecheng-7612	74	46	(	(	PUNCT
fumecheng-7612	74	47	)	)	PUNCT
fumecheng-7612	74	48	0	0	PUNCT
fumecheng-7612	75	1	w	w	NOUN
fumecheng-7612	75	2	x	x	PROPN
fumecheng-7612	75	3	t	t	PROPN
fumecheng-7612	75	4	w	w	PROPN
fumecheng-7612	75	5	x	x	PROPN
fumecheng-7612	75	6	t	t	PROPN
fumecheng-7612	75	7	a	a	DET
fumecheng-7612	75	8	x	x	X
fumecheng-7612	75	9	ei	ei	X
fumecheng-7612	75	10	x	x	SYM
fumecheng-7612	75	11	t	t	NOUN
fumecheng-7612	75	12	x	x	PROPN
fumecheng-7612	75	13	x	x	NOUN
fumecheng-7612	75	14			ADP
fumecheng-7612	75	15			PROPN
fumecheng-7612	75	16			ADJ
fumecheng-7612	75	17			ADJ
fumecheng-7612	75	18			PROPN
fumecheng-7612	75	19	+	+	SYM
fumecheng-7612	75	20	=	=	NOUN
fumecheng-7612	75	21			NOUN
fumecheng-7612	75	22			ADJ
fumecheng-7612	75	23			PROPN
fumecheng-7612	75	24			PROPN
fumecheng-7612	75	25			PROPN
fumecheng-7612	75	26			PROPN
fumecheng-7612	75	27	,	,	PUNCT
fumecheng-7612	75	28	(	(	PUNCT
fumecheng-7612	75	29	1	1	X
fumecheng-7612	75	30	)	)	PUNCT
fumecheng-7612	75	31	where	where	SCONJ
fumecheng-7612	75	32	x	x	PRON
fumecheng-7612	75	33	is	be	AUX
fumecheng-7612	75	34	the	the	DET
fumecheng-7612	75	35	position	position	NOUN
fumecheng-7612	75	36	variable	variable	NOUN
fumecheng-7612	75	37	along	along	ADP
fumecheng-7612	75	38	the	the	DET
fumecheng-7612	75	39	beam	beam	NOUN
fumecheng-7612	75	40	length	length	NOUN
fumecheng-7612	75	41	,	,	PUNCT
fumecheng-7612	75	42	ρ	ρ	PROPN
fumecheng-7612	75	43	is	be	AUX
fumecheng-7612	75	44	the	the	DET
fumecheng-7612	75	45	mass	mass	ADJ
fumecheng-7612	75	46	density	density	NOUN
fumecheng-7612	75	47	,	,	PUNCT
fumecheng-7612	75	48	a(x	a(x	PROPN
fumecheng-7612	75	49	)	)	PUNCT
fumecheng-7612	75	50	is	be	AUX
fumecheng-7612	75	51	the	the	DET
fumecheng-7612	75	52	cross	cross	ADJ
fumecheng-7612	75	53	-	-	ADJ
fumecheng-7612	75	54	sectional	sectional	ADJ
fumecheng-7612	75	55	area	area	NOUN
fumecheng-7612	75	56	,	,	PUNCT
fumecheng-7612	75	57	w(x	w(x	PROPN
fumecheng-7612	75	58	,	,	PUNCT
fumecheng-7612	75	59	t	t	PROPN
fumecheng-7612	75	60	)	)	PUNCT
fumecheng-7612	76	1	is	be	AUX
fumecheng-7612	76	2	the	the	DET
fumecheng-7612	76	3	deflection	deflection	NOUN
fumecheng-7612	76	4	function	function	NOUN
fumecheng-7612	76	5	,	,	PUNCT
fumecheng-7612	76	6	t	t	PROPN
fumecheng-7612	76	7	is	be	AUX
fumecheng-7612	76	8	time	time	NOUN
fumecheng-7612	76	9	,	,	PUNCT
fumecheng-7612	76	10	e	e	X
fumecheng-7612	76	11	is	be	AUX
fumecheng-7612	76	12	the	the	DET
fumecheng-7612	76	13	modulus	modulus	NOUN
fumecheng-7612	76	14	of	of	ADP
fumecheng-7612	76	15	elasticity	elasticity	NOUN
fumecheng-7612	76	16	,	,	PUNCT
fumecheng-7612	76	17	i(x	i(x	PROPN
fumecheng-7612	76	18	)	)	PUNCT
fumecheng-7612	76	19	is	be	AUX
fumecheng-7612	76	20	the	the	DET
fumecheng-7612	76	21	second	second	ADJ
fumecheng-7612	76	22	moment	moment	NOUN
fumecheng-7612	76	23	of	of	ADP
fumecheng-7612	76	24	area	area	NOUN
fumecheng-7612	76	25	.	.	PUNCT
fumecheng-7612	77	1	the	the	DET
fumecheng-7612	77	2	general	general	ADJ
fumecheng-7612	77	3	boundary	boundary	ADJ
fumecheng-7612	77	4	condition	condition	NOUN
fumecheng-7612	77	5	of	of	ADP
fumecheng-7612	77	6	the	the	DET
fumecheng-7612	77	7	beam	beam	NOUN
fumecheng-7612	77	8	is	be	AUX
fumecheng-7612	77	9	defined	define	VERB
fumecheng-7612	77	10	as	as	ADP
fumecheng-7612	77	11	,	,	PUNCT
fumecheng-7612	77	12	2	2	NUM
fumecheng-7612	77	13	1	1	NUM
fumecheng-7612	77	14	2	2	NUM
fumecheng-7612	77	15	0	0	NUM
fumecheng-7612	77	16	2	2	NUM
fumecheng-7612	77	17	1	1	NUM
fumecheng-7612	77	18	2	2	NUM
fumecheng-7612	77	19	0	0	NUM
fumecheng-7612	77	20	(	(	PUNCT
fumecheng-7612	77	21	,	,	PUNCT
fumecheng-7612	77	22	)	)	PUNCT
fumecheng-7612	77	23	(	(	PUNCT
fumecheng-7612	77	24	,	,	PUNCT
fumecheng-7612	77	25	)	)	PUNCT
fumecheng-7612	77	26	(	(	PUNCT
fumecheng-7612	77	27	)	)	PUNCT
fumecheng-7612	77	28	0	0	NUM
fumecheng-7612	78	1	(	(	PUNCT
fumecheng-7612	78	2	,	,	PUNCT
fumecheng-7612	78	3	)	)	PUNCT
fumecheng-7612	78	4	(	(	PUNCT
fumecheng-7612	78	5	,	,	PUNCT
fumecheng-7612	78	6	)	)	PUNCT
fumecheng-7612	79	1	+	+	CCONJ
fumecheng-7612	79	2	(	(	PUNCT
fumecheng-7612	79	3	)	)	PUNCT
fumecheng-7612	79	4	0	0	NUM
fumecheng-7612	79	5	l	l	NOUN
fumecheng-7612	79	6	x	x	PUNCT
fumecheng-7612	80	1	t	t	NOUN
fumecheng-7612	80	2	x	x	X
fumecheng-7612	80	3	w	w	PROPN
fumecheng-7612	80	4	x	x	SYM
fumecheng-7612	80	5	t	t	PROPN
fumecheng-7612	80	6	k	k	PROPN
fumecheng-7612	80	7	w	w	PROPN
fumecheng-7612	80	8	x	x	SYM
fumecheng-7612	80	9	t	t	NOUN
fumecheng-7612	80	10	ei	ei	NOUN
fumecheng-7612	80	11	x	x	PUNCT
fumecheng-7612	80	12	x	x	PUNCT
fumecheng-7612	80	13	x	x	SYM
fumecheng-7612	80	14	w	w	NOUN
fumecheng-7612	80	15	x	x	SYM
fumecheng-7612	80	16	t	t	PROPN
fumecheng-7612	80	17	w	w	PROPN
fumecheng-7612	80	18	x	x	PROPN
fumecheng-7612	80	19	t	t	PROPN
fumecheng-7612	80	20	k	k	X
fumecheng-7612	80	21	ei	ei	NOUN
fumecheng-7612	80	22	x	x	PUNCT
fumecheng-7612	81	1	x	x	PUNCT
fumecheng-7612	81	2	x	x	PUNCT
fumecheng-7612	81	3	=	=	PUNCT
fumecheng-7612	81	4	=	=	SYM
fumecheng-7612	81	5			PROPN
fumecheng-7612	81	6			PROPN
fumecheng-7612	81	7			PROPN
fumecheng-7612	81	8			ADJ
fumecheng-7612	81	9	−	−	PROPN
fumecheng-7612	82	1	=	=	SYM
fumecheng-7612	82	2			PROPN
fumecheng-7612	82	3			NOUN
fumecheng-7612	82	4			PROPN
fumecheng-7612	82	5			PROPN
fumecheng-7612	82	6			ADJ
fumecheng-7612	82	7			PUNCT
fumecheng-7612	82	8			PROPN
fumecheng-7612	82	9			NUM
fumecheng-7612	82	10			PRON
fumecheng-7612	82	11			ADJ
fumecheng-7612	82	12			PROPN
fumecheng-7612	82	13	=	=	SYM
fumecheng-7612	82	14			X
fumecheng-7612	82	15			X
fumecheng-7612	82	16			PROPN
fumecheng-7612	82	17			PROPN
fumecheng-7612	83	1			PROPN
fumecheng-7612	83	2	,	,	PUNCT
fumecheng-7612	83	3	(	(	PUNCT
fumecheng-7612	83	4	2	2	NUM
fumecheng-7612	83	5	)	)	PUNCT
fumecheng-7612	83	6	2	2	NUM
fumecheng-7612	83	7	22	22	NUM
fumecheng-7612	83	8	2	2	NUM
fumecheng-7612	83	9	2	2	NUM
fumecheng-7612	83	10	2	2	NUM
fumecheng-7612	83	11	(	(	PUNCT
fumecheng-7612	83	12	,	,	PUNCT
fumecheng-7612	83	13	)	)	PUNCT
fumecheng-7612	83	14	(	(	PUNCT
fumecheng-7612	83	15	)	)	PUNCT
fumecheng-7612	83	16	(	(	PUNCT
fumecheng-7612	83	17	,	,	PUNCT
fumecheng-7612	83	18	)	)	PUNCT
fumecheng-7612	83	19	0	0	NUM
fumecheng-7612	84	1	(	(	PUNCT
fumecheng-7612	84	2	,	,	PUNCT
fumecheng-7612	84	3	)	)	PUNCT
fumecheng-7612	84	4	(	(	PUNCT
fumecheng-7612	84	5	,	,	PUNCT
fumecheng-7612	84	6	)	)	PUNCT
fumecheng-7612	84	7	(	(	PUNCT
fumecheng-7612	84	8	)	)	PUNCT
fumecheng-7612	84	9	0	0	NUM
fumecheng-7612	85	1	l	l	NOUN
fumecheng-7612	85	2	x	x	PUNCT
fumecheng-7612	85	3	l	l	NOUN
fumecheng-7612	85	4	t	t	NOUN
fumecheng-7612	85	5	x	x	X
fumecheng-7612	85	6	l	l	NOUN
fumecheng-7612	85	7	w	w	NOUN
fumecheng-7612	85	8	x	x	SYM
fumecheng-7612	85	9	t	t	NOUN
fumecheng-7612	85	10	ei	ei	NOUN
fumecheng-7612	85	11	x	x	PUNCT
fumecheng-7612	86	1	k	k	PROPN
fumecheng-7612	86	2	w	w	PROPN
fumecheng-7612	86	3	x	x	SYM
fumecheng-7612	86	4	t	t	NOUN
fumecheng-7612	86	5	x	x	X
fumecheng-7612	86	6	x	x	X
fumecheng-7612	86	7	w	w	NOUN
fumecheng-7612	86	8	x	x	SYM
fumecheng-7612	86	9	t	t	PROPN
fumecheng-7612	86	10	w	w	PROPN
fumecheng-7612	86	11	x	x	PROPN
fumecheng-7612	86	12	t	t	PROPN
fumecheng-7612	86	13	k	k	X
fumecheng-7612	86	14	ei	ei	NOUN
fumecheng-7612	86	15	x	x	PUNCT
fumecheng-7612	87	1	x	x	PUNCT
fumecheng-7612	87	2	x	x	PUNCT
fumecheng-7612	87	3	=	=	PUNCT
fumecheng-7612	87	4	=	=	SYM
fumecheng-7612	87	5			PROPN
fumecheng-7612	87	6			PROPN
fumecheng-7612	87	7			PROPN
fumecheng-7612	87	8			ADJ
fumecheng-7612	87	9	+	+	CCONJ
fumecheng-7612	87	10	=	=	PUNCT
fumecheng-7612	87	11			PROPN
fumecheng-7612	87	12			NOUN
fumecheng-7612	87	13			PROPN
fumecheng-7612	87	14			PROPN
fumecheng-7612	87	15			ADJ
fumecheng-7612	87	16			PUNCT
fumecheng-7612	87	17			PROPN
fumecheng-7612	87	18			NUM
fumecheng-7612	87	19			PRON
fumecheng-7612	87	20			ADJ
fumecheng-7612	87	21			PROPN
fumecheng-7612	88	1	−	−	PROPN
fumecheng-7612	88	2	=	=	SYM
fumecheng-7612	88	3			X
fumecheng-7612	88	4			X
fumecheng-7612	88	5			PROPN
fumecheng-7612	88	6			PROPN
fumecheng-7612	88	7			PROPN
fumecheng-7612	88	8	,	,	PUNCT
fumecheng-7612	88	9	(	(	PUNCT
fumecheng-7612	88	10	3	3	X
fumecheng-7612	88	11	)	)	PUNCT
fumecheng-7612	88	12	study	study	NOUN
fumecheng-7612	88	13	on	on	ADP
fumecheng-7612	88	14	vibration	vibration	NOUN
fumecheng-7612	88	15	response	response	NOUN
fumecheng-7612	88	16	of	of	ADP
fumecheng-7612	88	17	a	a	DET
fumecheng-7612	88	18	non	non	ADJ
fumecheng-7612	88	19	-	-	ADJ
fumecheng-7612	88	20	uniform	uniform	ADJ
fumecheng-7612	88	21	beam	beam	NOUN
fumecheng-7612	88	22	with	with	ADP
fumecheng-7612	88	23	nonlinear	nonlinear	ADJ
fumecheng-7612	88	24	boundary	boundary	ADJ
fumecheng-7612	88	25	condition	condition	NOUN
fumecheng-7612	88	26	785	785	NUM
fumecheng-7612	88	27	where	where	SCONJ
fumecheng-7612	88	28	1lk	1lk	NOUN
fumecheng-7612	88	29	and	and	CCONJ
fumecheng-7612	88	30	2lk	2lk	ADJ
fumecheng-7612	88	31	are	be	AUX
fumecheng-7612	88	32	the	the	DET
fumecheng-7612	88	33	tension	tension	NOUN
fumecheng-7612	88	34	spring	spring	NOUN
fumecheng-7612	88	35	constants	constant	NOUN
fumecheng-7612	88	36	on	on	ADP
fumecheng-7612	88	37	the	the	DET
fumecheng-7612	88	38	left	left	ADJ
fumecheng-7612	88	39	end	end	NOUN
fumecheng-7612	88	40	,	,	PUNCT
fumecheng-7612	88	41	1tk	1tk	ADJ
fumecheng-7612	88	42	and	and	CCONJ
fumecheng-7612	88	43	2tk	2tk	ADJ
fumecheng-7612	88	44	are	be	AUX
fumecheng-7612	88	45	the	the	DET
fumecheng-7612	88	46	torsional	torsional	ADJ
fumecheng-7612	88	47	spring	spring	NOUN
fumecheng-7612	88	48	constants	constant	NOUN
fumecheng-7612	88	49	on	on	ADP
fumecheng-7612	88	50	the	the	DET
fumecheng-7612	88	51	right	right	ADJ
fumecheng-7612	88	52	end	end	NOUN
fumecheng-7612	88	53	.	.	PUNCT
fumecheng-7612	89	1	in	in	ADP
fumecheng-7612	89	2	this	this	DET
fumecheng-7612	89	3	study	study	NOUN
fumecheng-7612	89	4	,	,	PUNCT
fumecheng-7612	89	5	a	a	DET
fumecheng-7612	89	6	sample	sample	NOUN
fumecheng-7612	89	7	non	non	ADJ
fumecheng-7612	89	8	-	-	ADJ
fumecheng-7612	89	9	uniform	uniform	ADJ
fumecheng-7612	89	10	beam	beam	NOUN
fumecheng-7612	89	11	structure	structure	NOUN
fumecheng-7612	89	12	with	with	ADP
fumecheng-7612	89	13	exponentially	exponentially	ADV
fumecheng-7612	89	14	varied	varied	ADJ
fumecheng-7612	89	15	circular	circular	ADJ
fumecheng-7612	89	16	cross	cross	NOUN
fumecheng-7612	89	17	section	section	NOUN
fumecheng-7612	89	18	sitting	sit	VERB
fumecheng-7612	89	19	on	on	ADP
fumecheng-7612	89	20	a	a	DET
fumecheng-7612	89	21	nonlinear	nonlinear	ADJ
fumecheng-7612	89	22	tension	tension	NOUN
fumecheng-7612	89	23	spring	spring	NOUN
fumecheng-7612	89	24	foundation	foundation	NOUN
fumecheng-7612	89	25	is	be	AUX
fumecheng-7612	89	26	analyzed	analyze	VERB
fumecheng-7612	89	27	and	and	CCONJ
fumecheng-7612	89	28	shown	show	VERB
fumecheng-7612	89	29	in	in	ADP
fumecheng-7612	89	30	fig	fig	NOUN
fumecheng-7612	89	31	.	.	PUNCT
fumecheng-7612	90	1	1	1	X
fumecheng-7612	90	2	.	.	X
fumecheng-7612	91	1	at	at	ADP
fumecheng-7612	91	2	the	the	DET
fumecheng-7612	91	3	left	left	ADJ
fumecheng-7612	91	4	fixed	fix	VERB
fumecheng-7612	91	5	position	position	NOUN
fumecheng-7612	91	6	,	,	PUNCT
fumecheng-7612	91	7	kl	kl	PROPN
fumecheng-7612	91	8	is	be	AUX
fumecheng-7612	91	9	a	a	DET
fumecheng-7612	91	10	tension	tension	NOUN
fumecheng-7612	91	11	spring	spring	NOUN
fumecheng-7612	91	12	,	,	PUNCT
fumecheng-7612	91	13	which	which	PRON
fumecheng-7612	91	14	has	have	VERB
fumecheng-7612	91	15	a	a	DET
fumecheng-7612	91	16	nonlinear	nonlinear	ADJ
fumecheng-7612	91	17	property	property	NOUN
fumecheng-7612	91	18	.	.	PUNCT
fumecheng-7612	92	1	other	other	ADJ
fumecheng-7612	92	2	non	non	ADJ
fumecheng-7612	92	3	-	-	ADJ
fumecheng-7612	92	4	uniform	uniform	ADJ
fumecheng-7612	92	5	beam	beam	NOUN
fumecheng-7612	92	6	with	with	ADP
fumecheng-7612	92	7	general	general	ADJ
fumecheng-7612	92	8	nonlinear	nonlinear	ADJ
fumecheng-7612	92	9	boundary	boundary	ADJ
fumecheng-7612	92	10	conditions	condition	NOUN
fumecheng-7612	92	11	can	can	AUX
fumecheng-7612	92	12	also	also	ADV
fumecheng-7612	92	13	be	be	AUX
fumecheng-7612	92	14	solved	solve	VERB
fumecheng-7612	92	15	by	by	ADP
fumecheng-7612	92	16	the	the	DET
fumecheng-7612	92	17	progress	progress	NOUN
fumecheng-7612	92	18	described	describe	VERB
fumecheng-7612	92	19	below	below	ADV
fumecheng-7612	92	20	.	.	PUNCT
fumecheng-7612	93	1	with	with	ADP
fumecheng-7612	93	2	the	the	DET
fumecheng-7612	93	3	multi	multi	ADJ
fumecheng-7612	93	4	-	-	ADJ
fumecheng-7612	93	5	linear	linear	ADJ
fumecheng-7612	93	6	assumption	assumption	NOUN
fumecheng-7612	93	7	of	of	ADP
fumecheng-7612	93	8	the	the	DET
fumecheng-7612	93	9	non	non	ADJ
fumecheng-7612	93	10	-	-	ADJ
fumecheng-7612	93	11	linear	linear	ADJ
fumecheng-7612	93	12	spring	spring	NOUN
fumecheng-7612	93	13	stiffness	stiffness	NOUN
fumecheng-7612	93	14	,	,	PUNCT
fumecheng-7612	93	15	the	the	DET
fumecheng-7612	93	16	vibration	vibration	NOUN
fumecheng-7612	93	17	in	in	ADP
fumecheng-7612	93	18	each	each	DET
fumecheng-7612	93	19	linear	linear	ADJ
fumecheng-7612	93	20	domain	domain	NOUN
fumecheng-7612	93	21	of	of	ADP
fumecheng-7612	93	22	kl	kl	PROPN
fumecheng-7612	93	23	can	can	AUX
fumecheng-7612	93	24	be	be	AUX
fumecheng-7612	93	25	solved	solve	VERB
fumecheng-7612	93	26	by	by	ADP
fumecheng-7612	93	27	treating	treat	VERB
fumecheng-7612	93	28	the	the	DET
fumecheng-7612	93	29	system	system	NOUN
fumecheng-7612	93	30	as	as	ADP
fumecheng-7612	93	31	a	a	DET
fumecheng-7612	93	32	linear	linear	ADJ
fumecheng-7612	93	33	one	one	NUM
fumecheng-7612	93	34	.	.	PUNCT
fumecheng-7612	94	1	the	the	DET
fumecheng-7612	94	2	whole	whole	ADJ
fumecheng-7612	94	3	nonlinear	nonlinear	ADJ
fumecheng-7612	94	4	vibration	vibration	NOUN
fumecheng-7612	94	5	response	response	NOUN
fumecheng-7612	94	6	can	can	AUX
fumecheng-7612	94	7	be	be	AUX
fumecheng-7612	94	8	solved	solve	VERB
fumecheng-7612	94	9	by	by	ADP
fumecheng-7612	94	10	iteration	iteration	NOUN
fumecheng-7612	94	11	process	process	NOUN
fumecheng-7612	94	12	with	with	ADP
fumecheng-7612	94	13	small	small	ADJ
fumecheng-7612	94	14	iteration	iteration	NOUN
fumecheng-7612	94	15	time	time	NOUN
fumecheng-7612	94	16	step	step	NOUN
fumecheng-7612	94	17	,	,	PUNCT
fumecheng-7612	94	18	while	while	SCONJ
fumecheng-7612	94	19	in	in	ADP
fumecheng-7612	94	20	each	each	DET
fumecheng-7612	94	21	time	time	NOUN
fumecheng-7612	94	22	step	step	NOUN
fumecheng-7612	94	23	,	,	PUNCT
fumecheng-7612	94	24	the	the	DET
fumecheng-7612	94	25	system	system	NOUN
fumecheng-7612	94	26	is	be	AUX
fumecheng-7612	94	27	considered	consider	VERB
fumecheng-7612	94	28	as	as	ADP
fumecheng-7612	94	29	linear	linear	NOUN
fumecheng-7612	94	30	with	with	SCONJ
fumecheng-7612	94	31	non	non	ADJ
fumecheng-7612	94	32	-	-	ADJ
fumecheng-7612	94	33	change	change	ADJ
fumecheng-7612	94	34	spring	spring	NOUN
fumecheng-7612	94	35	stiffness	stiffness	NOUN
fumecheng-7612	94	36	constant	constant	ADJ
fumecheng-7612	94	37	.	.	PUNCT
fumecheng-7612	95	1	d	d	NOUN
fumecheng-7612	95	2	left	leave	VERB
fumecheng-7612	95	3	end	end	NOUN
fumecheng-7612	95	4	free	free	ADJ
fumecheng-7612	95	5	end	end	NOUN
fumecheng-7612	96	1	d	d	X
fumecheng-7612	96	2	l	l	NOUN
fumecheng-7612	96	3	0	0	NUM
fumecheng-7612	96	4	l	l	NOUN
fumecheng-7612	96	5	lk	lk	PROPN
fumecheng-7612	96	6	fig	fig	NOUN
fumecheng-7612	96	7	.	.	PUNCT
fumecheng-7612	97	1	1	1	NUM
fumecheng-7612	97	2	main	main	ADJ
fumecheng-7612	97	3	and	and	CCONJ
fumecheng-7612	97	4	right	right	ADJ
fumecheng-7612	97	5	views	view	NOUN
fumecheng-7612	97	6	of	of	ADP
fumecheng-7612	97	7	an	an	DET
fumecheng-7612	97	8	exponentially	exponentially	ADV
fumecheng-7612	97	9	increasing	increase	VERB
fumecheng-7612	97	10	tapered	tapered	ADJ
fumecheng-7612	97	11	beam	beam	NOUN
fumecheng-7612	97	12	with	with	ADP
fumecheng-7612	97	13	nonlinear	nonlinear	ADJ
fumecheng-7612	97	14	boundary	boundary	ADJ
fumecheng-7612	97	15	condition	condition	NOUN
fumecheng-7612	97	16	for	for	ADP
fumecheng-7612	97	17	the	the	DET
fumecheng-7612	97	18	above	above	ADJ
fumecheng-7612	97	19	sample	sample	NOUN
fumecheng-7612	97	20	structure	structure	NOUN
fumecheng-7612	97	21	,	,	PUNCT
fumecheng-7612	97	22	its	its	PRON
fumecheng-7612	97	23	boundary	boundary	ADJ
fumecheng-7612	97	24	condition	condition	NOUN
fumecheng-7612	97	25	can	can	AUX
fumecheng-7612	97	26	be	be	AUX
fumecheng-7612	97	27	expressed	express	VERB
fumecheng-7612	97	28	as	as	ADP
fumecheng-7612	97	29	below	below	ADV
fumecheng-7612	97	30	,	,	PUNCT
fumecheng-7612	97	31	2	2	NUM
fumecheng-7612	97	32	2	2	NUM
fumecheng-7612	97	33	0	0	NUM
fumecheng-7612	97	34	0	0	NUM
fumecheng-7612	97	35	(	(	PUNCT
fumecheng-7612	97	36	,	,	PUNCT
fumecheng-7612	97	37	)	)	PUNCT
fumecheng-7612	97	38	(	(	PUNCT
fumecheng-7612	97	39	,	,	PUNCT
fumecheng-7612	97	40	)	)	PUNCT
fumecheng-7612	97	41	(	(	PUNCT
fumecheng-7612	97	42	)	)	PUNCT
fumecheng-7612	97	43	0	0	NUM
fumecheng-7612	98	1	(	(	PUNCT
fumecheng-7612	98	2	,	,	PUNCT
fumecheng-7612	98	3	)	)	PUNCT
fumecheng-7612	98	4	0	0	NUM
fumecheng-7612	99	1	l	l	NOUN
fumecheng-7612	99	2	x	x	PUNCT
fumecheng-7612	99	3	x	x	SYM
fumecheng-7612	99	4	w	w	NOUN
fumecheng-7612	99	5	x	x	SYM
fumecheng-7612	99	6	t	t	PROPN
fumecheng-7612	99	7	k	k	PROPN
fumecheng-7612	99	8	w	w	PROPN
fumecheng-7612	99	9	x	x	SYM
fumecheng-7612	99	10	t	t	NOUN
fumecheng-7612	99	11	ei	ei	NOUN
fumecheng-7612	99	12	x	x	PUNCT
fumecheng-7612	99	13	x	x	PUNCT
fumecheng-7612	99	14	x	x	SYM
fumecheng-7612	99	15	w	w	NOUN
fumecheng-7612	99	16	x	x	SYM
fumecheng-7612	99	17	t	t	NOUN
fumecheng-7612	99	18	x	x	PUNCT
fumecheng-7612	100	1	=	=	PUNCT
fumecheng-7612	100	2	=	=	SYM
fumecheng-7612	100	3			PROPN
fumecheng-7612	100	4			PROPN
fumecheng-7612	100	5			PROPN
fumecheng-7612	100	6			ADJ
fumecheng-7612	100	7	−	−	PROPN
fumecheng-7612	101	1	=	=	SYM
fumecheng-7612	101	2			PROPN
fumecheng-7612	101	3			NOUN
fumecheng-7612	101	4			PROPN
fumecheng-7612	101	5			ADJ
fumecheng-7612	101	6			PROPN
fumecheng-7612	101	7			PROPN
fumecheng-7612	101	8			PROPN
fumecheng-7612	101	9			PROPN
fumecheng-7612	102	1			NUM
fumecheng-7612	102	2			NOUN
fumecheng-7612	102	3			NOUN
fumecheng-7612	103	1	=	=	NOUN
fumecheng-7612	103	2			PROPN
fumecheng-7612	103	3			NOUN
fumecheng-7612	103	4			NOUN
fumecheng-7612	103	5	,	,	PUNCT
fumecheng-7612	103	6	(	(	PUNCT
fumecheng-7612	103	7	4	4	NUM
fumecheng-7612	103	8	)	)	SYM
fumecheng-7612	103	9	2	2	NUM
fumecheng-7612	103	10	2	2	NUM
fumecheng-7612	103	11	2	2	NUM
fumecheng-7612	103	12	2	2	NUM
fumecheng-7612	103	13	(	(	PUNCT
fumecheng-7612	103	14	,	,	PUNCT
fumecheng-7612	103	15	)	)	PUNCT
fumecheng-7612	103	16	[	[	PUNCT
fumecheng-7612	103	17	(	(	PUNCT
fumecheng-7612	103	18	)	)	PUNCT
fumecheng-7612	103	19	]	]	PUNCT
fumecheng-7612	103	20	0	0	PUNCT
fumecheng-7612	104	1	(	(	PUNCT
fumecheng-7612	104	2	,	,	PUNCT
fumecheng-7612	104	3	)	)	PUNCT
fumecheng-7612	104	4	(	(	PUNCT
fumecheng-7612	104	5	(	(	PUNCT
fumecheng-7612	104	6	)	)	PUNCT
fumecheng-7612	104	7	)	)	PUNCT
fumecheng-7612	105	1	=	=	SYM
fumecheng-7612	105	2	0	0	NUM
fumecheng-7612	105	3	x	x	SYM
fumecheng-7612	105	4	l	l	NOUN
fumecheng-7612	105	5	x	x	PUNCT
fumecheng-7612	105	6	l	l	NOUN
fumecheng-7612	105	7	w	w	NOUN
fumecheng-7612	105	8	x	x	SYM
fumecheng-7612	105	9	t	t	NOUN
fumecheng-7612	105	10	ei	ei	NOUN
fumecheng-7612	105	11	x	x	PUNCT
fumecheng-7612	105	12	x	x	X
fumecheng-7612	105	13	w	w	NOUN
fumecheng-7612	105	14	x	x	SYM
fumecheng-7612	105	15	t	t	NOUN
fumecheng-7612	105	16	ei	ei	NOUN
fumecheng-7612	105	17	x	x	PUNCT
fumecheng-7612	105	18	x	x	PUNCT
fumecheng-7612	105	19	x	x	SYM
fumecheng-7612	105	20	=	=	SYM
fumecheng-7612	105	21	=	=	SYM
fumecheng-7612	105	22			X
fumecheng-7612	105	23			ADJ
fumecheng-7612	105	24	=	=	SYM
fumecheng-7612	105	25			NUM
fumecheng-7612	105	26			PROPN
fumecheng-7612	105	27			NUM
fumecheng-7612	105	28			DET
fumecheng-7612	105	29			ADJ
fumecheng-7612	105	30			PROPN
fumecheng-7612	105	31			X
fumecheng-7612	105	32			X
fumecheng-7612	105	33			PROPN
fumecheng-7612	105	34			PROPN
fumecheng-7612	106	1			PROPN
fumecheng-7612	106	2	.	.	PUNCT
fumecheng-7612	107	1	(	(	PUNCT
fumecheng-7612	107	2	5	5	NUM
fumecheng-7612	107	3	)	)	PUNCT
fumecheng-7612	107	4	by	by	ADP
fumecheng-7612	107	5	using	use	VERB
fumecheng-7612	107	6	mode	mode	NOUN
fumecheng-7612	107	7	superposition	superposition	NOUN
fumecheng-7612	107	8	method	method	NOUN
fumecheng-7612	107	9	,	,	PUNCT
fumecheng-7612	107	10	w(x	w(x	PROPN
fumecheng-7612	107	11	,	,	PUNCT
fumecheng-7612	107	12	t	t	PROPN
fumecheng-7612	107	13	)	)	PUNCT
fumecheng-7612	107	14	in	in	ADP
fumecheng-7612	107	15	eq	eq	ADP
fumecheng-7612	107	16	.	.	PUNCT
fumecheng-7612	108	1	(	(	PUNCT
fumecheng-7612	108	2	1	1	X
fumecheng-7612	108	3	)	)	PUNCT
fumecheng-7612	108	4	can	can	AUX
fumecheng-7612	108	5	be	be	AUX
fumecheng-7612	108	6	decomposed	decompose	VERB
fumecheng-7612	108	7	into	into	ADP
fumecheng-7612	108	8	two	two	NUM
fumecheng-7612	108	9	parts	part	NOUN
fumecheng-7612	108	10	,	,	PUNCT
fumecheng-7612	108	11	1	1	NUM
fumecheng-7612	108	12	(	(	PUNCT
fumecheng-7612	108	13	,	,	PUNCT
fumecheng-7612	108	14	)	)	PUNCT
fumecheng-7612	108	15	(	(	PUNCT
fumecheng-7612	108	16	)	)	PUNCT
fumecheng-7612	108	17	(	(	PUNCT
fumecheng-7612	108	18	)	)	PUNCT
fumecheng-7612	108	19	i	i	PRON
fumecheng-7612	108	20	i	i	PRON
fumecheng-7612	109	1	i	i	VERB
fumecheng-7612	109	2	w	w	VERB
fumecheng-7612	109	3	x	x	X
fumecheng-7612	110	1	t	t	PROPN
fumecheng-7612	110	2	w	w	PROPN
fumecheng-7612	110	3	x	x	X
fumecheng-7612	110	4	q	q	PROPN
fumecheng-7612	110	5	t	t	NOUN
fumecheng-7612	110	6			NOUN
fumecheng-7612	110	7	=	=	PUNCT
fumecheng-7612	111	1	=	=	NOUN
fumecheng-7612	111	2			X
fumecheng-7612	111	3	,	,	PUNCT
fumecheng-7612	111	4	(	(	PUNCT
fumecheng-7612	111	5	6	6	NUM
fumecheng-7612	111	6	)	)	PUNCT
fumecheng-7612	111	7	where	where	SCONJ
fumecheng-7612	111	8	wi(x	wi(x	NOUN
fumecheng-7612	111	9	)	)	PUNCT
fumecheng-7612	111	10	is	be	AUX
fumecheng-7612	111	11	the	the	DET
fumecheng-7612	111	12	i	i	PROPN
fumecheng-7612	111	13	-	-	PUNCT
fumecheng-7612	111	14	th	th	X
fumecheng-7612	111	15	mode	mode	NOUN
fumecheng-7612	111	16	shape	shape	NOUN
fumecheng-7612	111	17	and	and	CCONJ
fumecheng-7612	111	18	qi(t	qi(t	NOUN
fumecheng-7612	111	19	)	)	PUNCT
fumecheng-7612	111	20	is	be	AUX
fumecheng-7612	111	21	the	the	DET
fumecheng-7612	111	22	i	i	PROPN
fumecheng-7612	111	23	-	-	PUNCT
fumecheng-7612	111	24	th	th	X
fumecheng-7612	111	25	corresponding	corresponding	ADJ
fumecheng-7612	111	26	generalized	generalize	VERB
fumecheng-7612	111	27	coordinate	coordinate	NOUN
fumecheng-7612	111	28	of	of	ADP
fumecheng-7612	111	29	the	the	DET
fumecheng-7612	111	30	free	free	ADJ
fumecheng-7612	111	31	vibration	vibration	NOUN
fumecheng-7612	111	32	response	response	NOUN
fumecheng-7612	111	33	or	or	CCONJ
fumecheng-7612	111	34	external	external	ADJ
fumecheng-7612	111	35	force	force	NOUN
fumecheng-7612	111	36	.	.	PUNCT
fumecheng-7612	112	1	substituting	substitute	VERB
fumecheng-7612	112	2	eq	eq	ADP
fumecheng-7612	112	3	.	.	PUNCT
fumecheng-7612	113	1	(	(	PUNCT
fumecheng-7612	113	2	6	6	NUM
fumecheng-7612	113	3	)	)	PUNCT
fumecheng-7612	113	4	into	into	ADP
fumecheng-7612	113	5	eq	eq	NOUN
fumecheng-7612	113	6	.	.	PUNCT
fumecheng-7612	114	1	(	(	PUNCT
fumecheng-7612	114	2	1	1	NUM
fumecheng-7612	114	3	)	)	PUNCT
fumecheng-7612	114	4	,	,	PUNCT
fumecheng-7612	114	5	one	one	NUM
fumecheng-7612	114	6	ordinary	ordinary	ADJ
fumecheng-7612	114	7	differential	differential	NOUN
fumecheng-7612	114	8	equation	equation	NOUN
fumecheng-7612	114	9	is	be	AUX
fumecheng-7612	114	10	obtained	obtain	VERB
fumecheng-7612	114	11	as	as	ADP
fumecheng-7612	114	12	,	,	PUNCT
fumecheng-7612	114	13	786	786	NUM
fumecheng-7612	114	14	p.	p.	NOUN
fumecheng-7612	114	15	wang	wang	PROPN
fumecheng-7612	114	16	,	,	PUNCT
fumecheng-7612	114	17	n.	n.	PROPN
fumecheng-7612	114	18	wu	wu	PROPN
fumecheng-7612	114	19	,	,	PUNCT
fumecheng-7612	114	20	h.	h.	PROPN
fumecheng-7612	114	21	luo	luo	PROPN
fumecheng-7612	114	22	,	,	PUNCT
fumecheng-7612	114	23	z.	z.	PROPN
fumecheng-7612	114	24	sun	sun	PROPN
fumecheng-7612	114	25	2	2	NUM
fumecheng-7612	114	26	4	4	NUM
fumecheng-7612	114	27	3	3	NUM
fumecheng-7612	114	28	22	22	NUM
fumecheng-7612	114	29	2	2	NUM
fumecheng-7612	114	30	4	4	NUM
fumecheng-7612	114	31	3	3	NUM
fumecheng-7612	114	32	2	2	NUM
fumecheng-7612	114	33	(	(	PUNCT
fumecheng-7612	114	34	)	)	PUNCT
fumecheng-7612	114	35	(	(	PUNCT
fumecheng-7612	114	36	)	)	PUNCT
fumecheng-7612	114	37	(	(	PUNCT
fumecheng-7612	114	38	)	)	PUNCT
fumecheng-7612	114	39	(	(	PUNCT
fumecheng-7612	114	40	)	)	PUNCT
fumecheng-7612	114	41	(	(	PUNCT
fumecheng-7612	114	42	)	)	PUNCT
fumecheng-7612	114	43	(	(	PUNCT
fumecheng-7612	114	44	)	)	PUNCT
fumecheng-7612	114	45	(	(	PUNCT
fumecheng-7612	114	46	)	)	PUNCT
fumecheng-7612	115	1	+2	+2	PROPN
fumecheng-7612	115	2	+	+	CCONJ
fumecheng-7612	116	1	=	=	X
fumecheng-7612	116	2	0	0	NUM
fumecheng-7612	116	3	(	(	PUNCT
fumecheng-7612	116	4	)	)	PUNCT
fumecheng-7612	116	5	(	(	PUNCT
fumecheng-7612	116	6	)	)	PUNCT
fumecheng-7612	116	7	(	(	PUNCT
fumecheng-7612	116	8	)	)	PUNCT
fumecheng-7612	116	9	i	i	PRON
fumecheng-7612	117	1	i	i	PRON
fumecheng-7612	117	2	i	i	PRON
fumecheng-7612	118	1	i	i	PRON
fumecheng-7612	118	2	i	i	VERB
fumecheng-7612	119	1	d	d	VERB
fumecheng-7612	119	2	i	i	PRON
fumecheng-7612	119	3	xdi	xdi	X
fumecheng-7612	120	1	x	x	PUNCT
fumecheng-7612	121	1	d	d	X
fumecheng-7612	121	2	w	w	NOUN
fumecheng-7612	121	3	x	x	X
fumecheng-7612	121	4	d	d	X
fumecheng-7612	121	5	w	w	PROPN
fumecheng-7612	121	6	x	x	X
fumecheng-7612	121	7	d	d	X
fumecheng-7612	121	8	w	w	NOUN
fumecheng-7612	121	9	x	x	X
fumecheng-7612	121	10	a	a	X
fumecheng-7612	121	11	x	x	X
fumecheng-7612	121	12	w	w	PROPN
fumecheng-7612	121	13	xdx	xdx	PROPN
fumecheng-7612	121	14	dx	dx	PROPN
fumecheng-7612	121	15	i	i	NOUN
fumecheng-7612	121	16	x	x	VERB
fumecheng-7612	122	1	i	i	NOUN
fumecheng-7612	122	2	x	x	VERB
fumecheng-7612	122	3	ei	ei	PROPN
fumecheng-7612	122	4	xdx	xdx	PROPN
fumecheng-7612	122	5	dx	dx	PROPN
fumecheng-7612	122	6	dx	dx	PROPN
fumecheng-7612	122	7			ADV
fumecheng-7612	122	8	−	−	PUNCT
fumecheng-7612	122	9	,	,	PUNCT
fumecheng-7612	122	10	(	(	PUNCT
fumecheng-7612	122	11	7	7	X
fumecheng-7612	122	12	)	)	PUNCT
fumecheng-7612	122	13	where	where	SCONJ
fumecheng-7612	122	14	ωi	ωi	PROPN
fumecheng-7612	122	15	is	be	AUX
fumecheng-7612	122	16	the	the	DET
fumecheng-7612	122	17	i	i	PROPN
fumecheng-7612	122	18	-	-	PUNCT
fumecheng-7612	122	19	th	th	X
fumecheng-7612	122	20	natural	natural	ADJ
fumecheng-7612	122	21	frequency	frequency	NOUN
fumecheng-7612	122	22	.	.	PUNCT
fumecheng-7612	123	1	in	in	ADP
fumecheng-7612	123	2	order	order	NOUN
fumecheng-7612	123	3	to	to	PART
fumecheng-7612	123	4	solve	solve	VERB
fumecheng-7612	123	5	the	the	DET
fumecheng-7612	123	6	above	above	ADJ
fumecheng-7612	123	7	equation	equation	NOUN
fumecheng-7612	123	8	,	,	PUNCT
fumecheng-7612	123	9	adm	adm	PROPN
fumecheng-7612	123	10	is	be	AUX
fumecheng-7612	123	11	applied	apply	VERB
fumecheng-7612	123	12	[	[	PUNCT
fumecheng-7612	123	13	5	5	NUM
fumecheng-7612	123	14	]	]	PUNCT
fumecheng-7612	123	15	.	.	PUNCT
fumecheng-7612	124	1	the	the	DET
fumecheng-7612	124	2	operator	operator	NOUN
fumecheng-7612	124	3	form	form	NOUN
fumecheng-7612	124	4	of	of	ADP
fumecheng-7612	124	5	the	the	DET
fumecheng-7612	124	6	eq	eq	NOUN
fumecheng-7612	124	7	.	.	PUNCT
fumecheng-7612	125	1	(	(	PUNCT
fumecheng-7612	125	2	7	7	X
fumecheng-7612	125	3	)	)	PUNCT
fumecheng-7612	125	4	is	be	AUX
fumecheng-7612	125	5	rewritten	rewrite	VERB
fumecheng-7612	125	6	as	as	ADP
fumecheng-7612	125	7	,	,	PUNCT
fumecheng-7612	125	8			ADJ
fumecheng-7612	125	9			ADP
fumecheng-7612	125	10	2	2	NUM
fumecheng-7612	125	11	(	(	PUNCT
fumecheng-7612	125	12	)	)	PUNCT
fumecheng-7612	125	13	(	(	PUNCT
fumecheng-7612	125	14	)	)	PUNCT
fumecheng-7612	125	15	'	'	PUNCT
fumecheng-7612	125	16	(	(	PUNCT
fumecheng-7612	125	17	)	)	PUNCT
fumecheng-7612	125	18	''	''	PUNCT
fumecheng-7612	125	19	(	(	PUNCT
fumecheng-7612	125	20	)	)	PUNCT
fumecheng-7612	125	21	(	(	PUNCT
fumecheng-7612	125	22	)	)	PUNCT
fumecheng-7612	125	23	2	2	NUM
fumecheng-7612	125	24	'	'	NOUN
fumecheng-7612	125	25	''	''	PUNCT
fumecheng-7612	125	26	(	(	PUNCT
fumecheng-7612	125	27	)	)	PUNCT
fumecheng-7612	125	28	''	''	PUNCT
fumecheng-7612	125	29	(	(	PUNCT
fumecheng-7612	125	30	)	)	PUNCT
fumecheng-7612	125	31	(	(	PUNCT
fumecheng-7612	125	32	)	)	PUNCT
fumecheng-7612	125	33	(	(	PUNCT
fumecheng-7612	125	34	)	)	PUNCT
fumecheng-7612	125	35	(	(	PUNCT
fumecheng-7612	125	36	)	)	PUNCT
fumecheng-7612	126	1	i	i	PRON
fumecheng-7612	126	2	x	x	VERB
fumecheng-7612	127	1	i	i	PRON
fumecheng-7612	127	2	i	i	PRON
fumecheng-7612	128	1	i	i	PRON
fumecheng-7612	128	2	i	i	PRON
fumecheng-7612	128	3	a	a	X
fumecheng-7612	128	4	x	x	X
fumecheng-7612	128	5	w	w	NOUN
fumecheng-7612	128	6	xi	xi	NOUN
fumecheng-7612	128	7	x	x	PROPN
fumecheng-7612	128	8	i	i	NOUN
fumecheng-7612	128	9	x	x	X
fumecheng-7612	129	1	l	l	NOUN
fumecheng-7612	129	2	w	w	NOUN
fumecheng-7612	129	3	x	x	X
fumecheng-7612	129	4	w	w	PROPN
fumecheng-7612	129	5	x	x	X
fumecheng-7612	129	6	w	w	NOUN
fumecheng-7612	129	7	x	x	NOUN
fumecheng-7612	129	8	i	i	NOUN
fumecheng-7612	129	9	x	x	VERB
fumecheng-7612	129	10	i	i	NOUN
fumecheng-7612	129	11	x	x	X
fumecheng-7612	129	12	ei	ei	X
fumecheng-7612	129	13	x	x	PUNCT
fumecheng-7612	129	14			ADP
fumecheng-7612	129	15	=	=	PROPN
fumecheng-7612	129	16	−	−	PROPN
fumecheng-7612	130	1	−	−	PROPN
fumecheng-7612	131	1	+	+	CCONJ
fumecheng-7612	131	2	,	,	PUNCT
fumecheng-7612	131	3	(	(	PUNCT
fumecheng-7612	131	4	8)	8)	NUM
fumecheng-7612	131	5	where	where	SCONJ
fumecheng-7612	131	6	lx	lx	NOUN
fumecheng-7612	131	7	is	be	AUX
fumecheng-7612	131	8	the	the	DET
fumecheng-7612	131	9	fourth	fourth	ADJ
fumecheng-7612	131	10	order	order	NOUN
fumecheng-7612	131	11	differential	differential	NOUN
fumecheng-7612	131	12	operator	operator	NOUN
fumecheng-7612	131	13	.	.	PUNCT
fumecheng-7612	132	1	lx	lx	NOUN
fumecheng-7612	132	2	-1	-1	PROPN
fumecheng-7612	132	3	is	be	AUX
fumecheng-7612	132	4	applied	apply	VERB
fumecheng-7612	132	5	on	on	ADP
fumecheng-7612	132	6	the	the	DET
fumecheng-7612	132	7	both	both	DET
fumecheng-7612	132	8	sides	side	NOUN
fumecheng-7612	132	9	of	of	ADP
fumecheng-7612	132	10	eq	eq	PROPN
fumecheng-7612	132	11	.	.	PUNCT
fumecheng-7612	133	1	(	(	PUNCT
fumecheng-7612	133	2	8)	8)	NUM
fumecheng-7612	133	3	at	at	ADP
fumecheng-7612	133	4	the	the	DET
fumecheng-7612	133	5	same	same	ADJ
fumecheng-7612	133	6	time	time	NOUN
fumecheng-7612	133	7	,	,	PUNCT
fumecheng-7612	133	8	where	where	SCONJ
fumecheng-7612	133	9	lx	lx	NOUN
fumecheng-7612	133	10	-1	-1	PROPN
fumecheng-7612	133	11	is	be	AUX
fumecheng-7612	133	12	the	the	DET
fumecheng-7612	133	13	fourth	fourth	ADJ
fumecheng-7612	133	14	-	-	PUNCT
fumecheng-7612	133	15	order	order	NOUN
fumecheng-7612	133	16	integral	integral	ADJ
fumecheng-7612	133	17	operator	operator	NOUN
fumecheng-7612	133	18	.	.	PUNCT
fumecheng-7612	134	1	2	2	NUM
fumecheng-7612	134	2	3	3	NUM
fumecheng-7612	134	3	1	1	NUM
fumecheng-7612	134	4	2	2	NUM
fumecheng-7612	134	5	3	3	NUM
fumecheng-7612	134	6	4	4	NUM
fumecheng-7612	134	7	1	1	NUM
fumecheng-7612	134	8	2	2	NUM
fumecheng-7612	134	9	(	(	PUNCT
fumecheng-7612	134	10	)	)	PUNCT
fumecheng-7612	134	11	2	2	NUM
fumecheng-7612	134	12	!	!	SYM
fumecheng-7612	134	13	3	3	NUM
fumecheng-7612	134	14	!	!	PUNCT
fumecheng-7612	134	15	(	(	PUNCT
fumecheng-7612	134	16	)	)	PUNCT
fumecheng-7612	134	17	(	(	PUNCT
fumecheng-7612	134	18	)	)	PUNCT
fumecheng-7612	134	19	'	'	PUNCT
fumecheng-7612	134	20	(	(	PUNCT
fumecheng-7612	134	21	)	)	PUNCT
fumecheng-7612	134	22	''	''	PUNCT
fumecheng-7612	134	23	(	(	PUNCT
fumecheng-7612	134	24	)	)	PUNCT
fumecheng-7612	134	25	2	2	NUM
fumecheng-7612	134	26	'	'	NOUN
fumecheng-7612	134	27	''	''	PUNCT
fumecheng-7612	134	28	(	(	PUNCT
fumecheng-7612	134	29	)	)	PUNCT
fumecheng-7612	134	30	''	''	PUNCT
fumecheng-7612	134	31	(	(	PUNCT
fumecheng-7612	134	32	)	)	PUNCT
fumecheng-7612	134	33	(	(	PUNCT
fumecheng-7612	134	34	)	)	PUNCT
fumecheng-7612	134	35	(	(	PUNCT
fumecheng-7612	134	36	)	)	PUNCT
fumecheng-7612	134	37	(	(	PUNCT
fumecheng-7612	134	38	)	)	PUNCT
fumecheng-7612	135	1	i	i	PRON
fumecheng-7612	135	2	i	i	VERB
fumecheng-7612	135	3	x	x	VERB
fumecheng-7612	136	1	i	i	PRON
fumecheng-7612	136	2	i	i	PRON
fumecheng-7612	136	3	i	i	VERB
fumecheng-7612	136	4	x	x	X
fumecheng-7612	136	5	x	x	X
fumecheng-7612	136	6	w	w	NOUN
fumecheng-7612	136	7	x	x	X
fumecheng-7612	136	8	c	c	NOUN
fumecheng-7612	136	9	c	c	NOUN
fumecheng-7612	136	10	x	x	SYM
fumecheng-7612	137	1	c	c	NOUN
fumecheng-7612	137	2	c	c	PROPN
fumecheng-7612	137	3	a	a	PRON
fumecheng-7612	137	4	x	x	X
fumecheng-7612	137	5	w	w	NOUN
fumecheng-7612	137	6	xi	xi	NOUN
fumecheng-7612	137	7	x	x	PROPN
fumecheng-7612	137	8	i	i	NOUN
fumecheng-7612	137	9	x	x	X
fumecheng-7612	138	1	l	l	NOUN
fumecheng-7612	138	2	w	w	NOUN
fumecheng-7612	138	3	x	x	X
fumecheng-7612	138	4	w	w	NOUN
fumecheng-7612	138	5	x	x	NOUN
fumecheng-7612	138	6	i	i	NOUN
fumecheng-7612	138	7	x	x	VERB
fumecheng-7612	138	8	i	i	NOUN
fumecheng-7612	138	9	x	x	X
fumecheng-7612	138	10	ei	ei	X
fumecheng-7612	138	11	x	x	PUNCT
fumecheng-7612	138	12			NOUN
fumecheng-7612	138	13	−	−	PUNCT
fumecheng-7612	138	14	=	=	SYM
fumecheng-7612	139	1	+	+	PUNCT
fumecheng-7612	139	2	+	+	PUNCT
fumecheng-7612	140	1	+	+	CCONJ
fumecheng-7612	140	2			NUM
fumecheng-7612	140	3			NOUN
fumecheng-7612	140	4	−	−	PROPN
fumecheng-7612	141	1	+	+	CCONJ
fumecheng-7612	141	2	−	−	X
fumecheng-7612	141	3			PROPN
fumecheng-7612	141	4			NOUN
fumecheng-7612	141	5			PROPN
fumecheng-7612	141	6	,	,	PUNCT
fumecheng-7612	141	7	(	(	PUNCT
fumecheng-7612	141	8	9	9	X
fumecheng-7612	141	9	)	)	PUNCT
fumecheng-7612	141	10	where	where	SCONJ
fumecheng-7612	141	11	c1	c1	NOUN
fumecheng-7612	141	12	to	to	ADP
fumecheng-7612	141	13	c4	c4	PROPN
fumecheng-7612	141	14	are	be	AUX
fumecheng-7612	141	15	constants	constant	NOUN
fumecheng-7612	141	16	that	that	PRON
fumecheng-7612	141	17	can	can	AUX
fumecheng-7612	141	18	be	be	AUX
fumecheng-7612	141	19	determined	determine	VERB
fumecheng-7612	141	20	by	by	ADP
fumecheng-7612	141	21	boundary	boundary	ADJ
fumecheng-7612	141	22	conditions	condition	NOUN
fumecheng-7612	141	23	,	,	PUNCT
fumecheng-7612	141	24	the	the	DET
fumecheng-7612	141	25	detailed	detailed	ADJ
fumecheng-7612	141	26	progress	progress	NOUN
fumecheng-7612	141	27	defining	define	VERB
fumecheng-7612	141	28	c1	c1	NOUN
fumecheng-7612	141	29	-	-	PUNCT
fumecheng-7612	141	30	c4	c4	NOUN
fumecheng-7612	141	31	can	can	AUX
fumecheng-7612	141	32	be	be	AUX
fumecheng-7612	141	33	found	find	VERB
fumecheng-7612	141	34	in	in	ADP
fumecheng-7612	141	35	[	[	X
fumecheng-7612	141	36	5	5	NUM
fumecheng-7612	141	37	]	]	PUNCT
fumecheng-7612	141	38	.	.	PUNCT
fumecheng-7612	142	1	wi(x	wi(x	PROPN
fumecheng-7612	142	2	)	)	PUNCT
fumecheng-7612	142	3	is	be	AUX
fumecheng-7612	142	4	written	write	VERB
fumecheng-7612	142	5	in	in	ADP
fumecheng-7612	142	6	series	series	NOUN
fumecheng-7612	142	7	form	form	NOUN
fumecheng-7612	142	8	,	,	PUNCT
fumecheng-7612	142	9	0	0	NUM
fumecheng-7612	142	10	(	(	PUNCT
fumecheng-7612	142	11	)	)	PUNCT
fumecheng-7612	142	12	=	=	SYM
fumecheng-7612	142	13	(	(	PUNCT
fumecheng-7612	142	14	)	)	PUNCT
fumecheng-7612	142	15	ii	ii	PROPN
fumecheng-7612	143	1	k	k	PROPN
fumecheng-7612	143	2	k	k	PROPN
fumecheng-7612	143	3	w	w	PUNCT
fumecheng-7612	143	4	x	x	X
fumecheng-7612	143	5	w	w	NOUN
fumecheng-7612	143	6	x	x	PUNCT
fumecheng-7612	143	7			PUNCT
fumecheng-7612	143	8	=	=	PUNCT
fumecheng-7612	143	9			X
fumecheng-7612	143	10	,	,	PUNCT
fumecheng-7612	143	11	(	(	PUNCT
fumecheng-7612	143	12	10	10	NUM
fumecheng-7612	143	13	)	)	PUNCT
fumecheng-7612	143	14	where	where	SCONJ
fumecheng-7612	143	15	k	k	PROPN
fumecheng-7612	143	16	is	be	AUX
fumecheng-7612	143	17	the	the	DET
fumecheng-7612	143	18	number	number	NOUN
fumecheng-7612	143	19	of	of	ADP
fumecheng-7612	143	20	terms	term	NOUN
fumecheng-7612	143	21	in	in	ADP
fumecheng-7612	143	22	series	series	NOUN
fumecheng-7612	143	23	form	form	NOUN
fumecheng-7612	143	24	.	.	PUNCT
fumecheng-7612	144	1	the	the	PRON
fumecheng-7612	144	2	larger	large	ADJ
fumecheng-7612	144	3	the	the	DET
fumecheng-7612	144	4	value	value	NOUN
fumecheng-7612	144	5	of	of	ADP
fumecheng-7612	144	6	k	k	PROPN
fumecheng-7612	144	7	is	be	AUX
fumecheng-7612	144	8	,	,	PUNCT
fumecheng-7612	144	9	the	the	PRON
fumecheng-7612	144	10	more	more	ADV
fumecheng-7612	144	11	accurate	accurate	ADJ
fumecheng-7612	144	12	the	the	DET
fumecheng-7612	144	13	solution	solution	NOUN
fumecheng-7612	144	14	is	be	AUX
fumecheng-7612	144	15	.	.	PUNCT
fumecheng-7612	145	1	a	a	DET
fumecheng-7612	145	2	precise	precise	ADJ
fumecheng-7612	145	3	solution	solution	NOUN
fumecheng-7612	145	4	is	be	AUX
fumecheng-7612	145	5	often	often	ADV
fumecheng-7612	145	6	obtained	obtain	VERB
fumecheng-7612	145	7	with	with	ADP
fumecheng-7612	145	8	very	very	ADV
fumecheng-7612	145	9	small	small	ADJ
fumecheng-7612	145	10	values	value	NOUN
fumecheng-7612	145	11	of	of	ADP
fumecheng-7612	145	12	k	k	PROPN
fumecheng-7612	146	1	[	[	X
fumecheng-7612	146	2	35	35	NUM
fumecheng-7612	146	3	]	]	PUNCT
fumecheng-7612	146	4	.	.	PUNCT
fumecheng-7612	147	1	substituting	substitute	VERB
fumecheng-7612	147	2	eq	eq	ADP
fumecheng-7612	147	3	.	.	PUNCT
fumecheng-7612	148	1	(	(	PUNCT
fumecheng-7612	148	2	10	10	NUM
fumecheng-7612	148	3	)	)	PUNCT
fumecheng-7612	148	4	into	into	ADP
fumecheng-7612	148	5	eq	eq	NOUN
fumecheng-7612	148	6	.	.	PUNCT
fumecheng-7612	149	1	(	(	PUNCT
fumecheng-7612	149	2	9	9	NUM
fumecheng-7612	149	3	)	)	PUNCT
fumecheng-7612	149	4	,	,	PUNCT
fumecheng-7612	149	5	we	we	PRON
fumecheng-7612	149	6	have	have	VERB
fumecheng-7612	149	7	2	2	NUM
fumecheng-7612	149	8	3	3	NUM
fumecheng-7612	149	9	1	1	NUM
fumecheng-7612	149	10	2	2	NUM
fumecheng-7612	149	11	3	3	NUM
fumecheng-7612	149	12	4	4	NUM
fumecheng-7612	149	13	0	0	NUM
fumecheng-7612	149	14	1	1	NUM
fumecheng-7612	149	15	2	2	NUM
fumecheng-7612	149	16	0	0	NUM
fumecheng-7612	149	17	0	0	NUM
fumecheng-7612	149	18	0	0	NUM
fumecheng-7612	149	19	(	(	PUNCT
fumecheng-7612	149	20	)	)	PUNCT
fumecheng-7612	149	21	2	2	NUM
fumecheng-7612	149	22	!	!	SYM
fumecheng-7612	150	1	3	3	NUM
fumecheng-7612	150	2	!	!	PUNCT
fumecheng-7612	150	3	(	(	PUNCT
fumecheng-7612	150	4	)	)	PUNCT
fumecheng-7612	150	5	(	(	PUNCT
fumecheng-7612	150	6	)	)	PUNCT
fumecheng-7612	150	7	'	'	PUNCT
fumecheng-7612	150	8	(	(	PUNCT
fumecheng-7612	150	9	)	)	PUNCT
fumecheng-7612	150	10	''	''	PUNCT
fumecheng-7612	150	11	(	(	PUNCT
fumecheng-7612	150	12	)	)	PUNCT
fumecheng-7612	150	13	2	2	NUM
fumecheng-7612	150	14	'	'	NOUN
fumecheng-7612	150	15	''	''	PUNCT
fumecheng-7612	150	16	(	(	PUNCT
fumecheng-7612	150	17	)	)	PUNCT
fumecheng-7612	150	18	''	''	PUNCT
fumecheng-7612	150	19	(	(	PUNCT
fumecheng-7612	150	20	)	)	PUNCT
fumecheng-7612	150	21	(	(	PUNCT
fumecheng-7612	150	22	)	)	PUNCT
fumecheng-7612	150	23	(	(	PUNCT
fumecheng-7612	150	24	)	)	PUNCT
fumecheng-7612	151	1	(	(	PUNCT
fumecheng-7612	151	2	)	)	PUNCT
fumecheng-7612	151	3	i	i	PRON
fumecheng-7612	151	4	i	i	PRON
fumecheng-7612	152	1	i	i	PRON
fumecheng-7612	153	1	i	i	VERB
fumecheng-7612	153	2	k	k	PROPN
fumecheng-7612	154	1	k	k	PROPN
fumecheng-7612	155	1	k	k	PROPN
fumecheng-7612	155	2	k	k	PROPN
fumecheng-7612	155	3	x	x	PUNCT
fumecheng-7612	156	1	k	k	PROPN
fumecheng-7612	156	2	k	k	PROPN
fumecheng-7612	157	1	i	i	PRON
fumecheng-7612	157	2	k	k	PROPN
fumecheng-7612	158	1	k	k	PROPN
fumecheng-7612	158	2	x	x	PUNCT
fumecheng-7612	159	1	x	x	PUNCT
fumecheng-7612	159	2	w	w	NOUN
fumecheng-7612	159	3	x	x	X
fumecheng-7612	159	4	c	c	NOUN
fumecheng-7612	159	5	c	c	NOUN
fumecheng-7612	159	6	x	x	SYM
fumecheng-7612	160	1	c	c	NOUN
fumecheng-7612	160	2	c	c	PROPN
fumecheng-7612	160	3	a	a	DET
fumecheng-7612	160	4	x	x	X
fumecheng-7612	160	5	w	w	NOUN
fumecheng-7612	160	6	x	x	NOUN
fumecheng-7612	160	7	i	i	NOUN
fumecheng-7612	160	8	x	x	PROPN
fumecheng-7612	160	9	i	i	NOUN
fumecheng-7612	160	10	x	x	X
fumecheng-7612	161	1	l	l	NOUN
fumecheng-7612	161	2	w	w	NOUN
fumecheng-7612	161	3	x	x	X
fumecheng-7612	161	4	w	w	NOUN
fumecheng-7612	161	5	x	x	NOUN
fumecheng-7612	161	6	i	i	NOUN
fumecheng-7612	161	7	x	x	VERB
fumecheng-7612	161	8	i	i	NOUN
fumecheng-7612	161	9	x	x	X
fumecheng-7612	161	10	ei	ei	X
fumecheng-7612	161	11	x	x	PUNCT
fumecheng-7612	161	12			NOUN
fumecheng-7612	161	13			PROPN
fumecheng-7612	161	14			NOUN
fumecheng-7612	161	15	=	=	SYM
fumecheng-7612	161	16			VERB
fumecheng-7612	161	17			VERB
fumecheng-7612	161	18			NOUN
fumecheng-7612	161	19	−	−	NOUN
fumecheng-7612	161	20	=	=	SYM
fumecheng-7612	161	21	=	=	PUNCT
fumecheng-7612	161	22	=	=	PUNCT
fumecheng-7612	162	1	=	=	PUNCT
fumecheng-7612	163	1	+	+	PUNCT
fumecheng-7612	163	2	+	+	PUNCT
fumecheng-7612	164	1	+	+	CCONJ
fumecheng-7612	164	2			NUM
fumecheng-7612	164	3			ADJ
fumecheng-7612	164	4			NOUN
fumecheng-7612	164	5			PROPN
fumecheng-7612	164	6			NOUN
fumecheng-7612	164	7	−	−	NOUN
fumecheng-7612	164	8	+	+	NUM
fumecheng-7612	164	9	−	−	PROPN
fumecheng-7612	164	10			NOUN
fumecheng-7612	164	11			NOUN
fumecheng-7612	164	12			NOUN
fumecheng-7612	164	13			PROPN
fumecheng-7612	164	14			PROPN
fumecheng-7612	164	15			X
fumecheng-7612	164	16			X
fumecheng-7612	164	17			X
fumecheng-7612	164	18			X
fumecheng-7612	164	19	.	.	PUNCT
fumecheng-7612	165	1	(	(	PUNCT
fumecheng-7612	165	2	11	11	NUM
fumecheng-7612	165	3	)	)	PUNCT
fumecheng-7612	165	4	for	for	ADP
fumecheng-7612	165	5	each	each	DET
fumecheng-7612	165	6	term	term	NOUN
fumecheng-7612	165	7	in	in	ADP
fumecheng-7612	165	8	the	the	DET
fumecheng-7612	165	9	series	series	NOUN
fumecheng-7612	165	10	,	,	PUNCT
fumecheng-7612	165	11	we	we	PRON
fumecheng-7612	165	12	can	can	AUX
fumecheng-7612	165	13	have	have	VERB
fumecheng-7612	165	14	2	2	NUM
fumecheng-7612	165	15	3	3	NUM
fumecheng-7612	165	16	0	0	NUM
fumecheng-7612	165	17	1	1	NUM
fumecheng-7612	165	18	2	2	NUM
fumecheng-7612	165	19	3	3	NUM
fumecheng-7612	165	20	4	4	NUM
fumecheng-7612	165	21	(	(	PUNCT
fumecheng-7612	165	22	)	)	PUNCT
fumecheng-7612	165	23	2	2	NUM
fumecheng-7612	165	24	!	!	PUNCT
fumecheng-7612	166	1	3!i	3!i	NUM
fumecheng-7612	166	2	x	x	SYM
fumecheng-7612	166	3	x	x	X
fumecheng-7612	166	4	w	w	NOUN
fumecheng-7612	166	5	x	x	X
fumecheng-7612	166	6	c	c	NOUN
fumecheng-7612	166	7	c	c	NOUN
fumecheng-7612	166	8	x	x	SYM
fumecheng-7612	166	9	c	c	NOUN
fumecheng-7612	166	10	c=	c=	NOUN
fumecheng-7612	166	11	+	+	X
fumecheng-7612	167	1	+	+	CCONJ
fumecheng-7612	167	2	+	+	CCONJ
fumecheng-7612	167	3	,	,	PUNCT
fumecheng-7612	167	4	(	(	PUNCT
fumecheng-7612	167	5	12	12	NUM
fumecheng-7612	167	6	)	)	SYM
fumecheng-7612	167	7	1	1	NUM
fumecheng-7612	167	8	2	2	NUM
fumecheng-7612	167	9	1	1	NUM
fumecheng-7612	167	10	(	(	PUNCT
fumecheng-7612	167	11	)	)	PUNCT
fumecheng-7612	167	12	(	(	PUNCT
fumecheng-7612	167	13	)	)	PUNCT
fumecheng-7612	167	14	'	'	PUNCT
fumecheng-7612	167	15	(	(	PUNCT
fumecheng-7612	167	16	)	)	PUNCT
fumecheng-7612	167	17	''	''	PUNCT
fumecheng-7612	167	18	(	(	PUNCT
fumecheng-7612	167	19	)	)	PUNCT
fumecheng-7612	167	20	(	(	PUNCT
fumecheng-7612	167	21	)	)	PUNCT
fumecheng-7612	167	22	2	2	NUM
fumecheng-7612	167	23	'	'	NOUN
fumecheng-7612	167	24	''	''	PUNCT
fumecheng-7612	167	25	(	(	PUNCT
fumecheng-7612	167	26	)	)	PUNCT
fumecheng-7612	167	27	''	''	PUNCT
fumecheng-7612	167	28	(	(	PUNCT
fumecheng-7612	167	29	)	)	PUNCT
fumecheng-7612	167	30	0	0	NUM
fumecheng-7612	168	1	(	(	PUNCT
fumecheng-7612	168	2	)	)	PUNCT
fumecheng-7612	168	3	(	(	PUNCT
fumecheng-7612	168	4	)	)	PUNCT
fumecheng-7612	168	5	(	(	PUNCT
fumecheng-7612	168	6	)	)	PUNCT
fumecheng-7612	168	7	i	i	PRON
fumecheng-7612	168	8	i	i	PRON
fumecheng-7612	169	1	i	i	PRON
fumecheng-7612	170	1	i	i	VERB
fumecheng-7612	170	2	k	k	VERB
fumecheng-7612	171	1	k	k	PROPN
fumecheng-7612	171	2	x	x	PUNCT
fumecheng-7612	172	1	k	k	PROPN
fumecheng-7612	172	2	k	k	X
fumecheng-7612	172	3	i	i	PRON
fumecheng-7612	172	4	a	a	X
fumecheng-7612	172	5	x	x	X
fumecheng-7612	172	6	w	w	NOUN
fumecheng-7612	172	7	xi	xi	NOUN
fumecheng-7612	172	8	x	x	PROPN
fumecheng-7612	172	9	i	i	NOUN
fumecheng-7612	172	10	x	x	PROPN
fumecheng-7612	172	11	w	w	NOUN
fumecheng-7612	172	12	x	x	X
fumecheng-7612	172	13	l	l	NOUN
fumecheng-7612	172	14	w	w	NOUN
fumecheng-7612	172	15	x	x	X
fumecheng-7612	172	16	w	w	NOUN
fumecheng-7612	172	17	x	x	X
fumecheng-7612	172	18	k	k	NOUN
fumecheng-7612	173	1	i	i	NOUN
fumecheng-7612	173	2	x	x	VERB
fumecheng-7612	174	1	i	i	NOUN
fumecheng-7612	174	2	x	x	VERB
fumecheng-7612	174	3	ei	ei	X
fumecheng-7612	174	4	x	x	PUNCT
fumecheng-7612	174	5			NOUN
fumecheng-7612	174	6	−	−	X
fumecheng-7612	174	7	+	+	CCONJ
fumecheng-7612	174	8			NUM
fumecheng-7612	174	9			NOUN
fumecheng-7612	174	10	=	=	PUNCT
fumecheng-7612	174	11	−	−	PROPN
fumecheng-7612	175	1	+	+	CCONJ
fumecheng-7612	175	2	−	−	PROPN
fumecheng-7612	175	3			NOUN
fumecheng-7612	175	4			NOUN
fumecheng-7612	175	5			VERB
fumecheng-7612	175	6			PROPN
fumecheng-7612	175	7	.	.	PUNCT
fumecheng-7612	176	1	(	(	PUNCT
fumecheng-7612	176	2	13	13	NUM
fumecheng-7612	176	3	)	)	PUNCT
fumecheng-7612	176	4	substituting	substitute	VERB
fumecheng-7612	176	5	eq	eq	PROPN
fumecheng-7612	176	6	.	.	PUNCT
fumecheng-7612	177	1	(	(	PUNCT
fumecheng-7612	177	2	12	12	NUM
fumecheng-7612	177	3	)	)	PUNCT
fumecheng-7612	177	4	and	and	CCONJ
fumecheng-7612	177	5	eq	eq	NOUN
fumecheng-7612	177	6	.	.	PUNCT
fumecheng-7612	178	1	(	(	PUNCT
fumecheng-7612	178	2	13	13	NUM
fumecheng-7612	178	3	)	)	PUNCT
fumecheng-7612	178	4	into	into	ADP
fumecheng-7612	178	5	eq	eq	NOUN
fumecheng-7612	178	6	.	.	PUNCT
fumecheng-7612	179	1	(	(	PUNCT
fumecheng-7612	179	2	11	11	NUM
fumecheng-7612	179	3	)	)	PUNCT
fumecheng-7612	179	4	,	,	PUNCT
fumecheng-7612	179	5	the	the	DET
fumecheng-7612	179	6	i	i	PROPN
fumecheng-7612	179	7	-	-	PUNCT
fumecheng-7612	179	8	th	th	X
fumecheng-7612	179	9	mode	mode	NOUN
fumecheng-7612	179	10	shape	shape	NOUN
fumecheng-7612	179	11	function	function	NOUN
fumecheng-7612	179	12	,	,	PUNCT
fumecheng-7612	179	13	wi(x	wi(x	NOUN
fumecheng-7612	179	14	)	)	PUNCT
fumecheng-7612	179	15	,	,	PUNCT
fumecheng-7612	179	16	can	can	AUX
fumecheng-7612	179	17	be	be	AUX
fumecheng-7612	179	18	obtained	obtain	VERB
fumecheng-7612	179	19	.	.	PUNCT
fumecheng-7612	180	1	with	with	ADP
fumecheng-7612	180	2	different	different	ADJ
fumecheng-7612	180	3	boundary	boundary	ADJ
fumecheng-7612	180	4	conditions	condition	NOUN
fumecheng-7612	180	5	and	and	CCONJ
fumecheng-7612	180	6	structural	structural	ADJ
fumecheng-7612	180	7	design	design	NOUN
fumecheng-7612	180	8	,	,	PUNCT
fumecheng-7612	180	9	the	the	DET
fumecheng-7612	180	10	mode	mode	NOUN
fumecheng-7612	180	11	shape	shape	NOUN
fumecheng-7612	180	12	function	function	NOUN
fumecheng-7612	180	13	from	from	ADP
fumecheng-7612	180	14	adm	adm	PROPN
fumecheng-7612	180	15	can	can	AUX
fumecheng-7612	180	16	be	be	AUX
fumecheng-7612	180	17	different	different	ADJ
fumecheng-7612	180	18	and	and	CCONJ
fumecheng-7612	180	19	hence	hence	ADV
fumecheng-7612	180	20	not	not	PART
fumecheng-7612	180	21	given	give	VERB
fumecheng-7612	180	22	here	here	ADV
fumecheng-7612	180	23	.	.	PUNCT
fumecheng-7612	181	1	the	the	DET
fumecheng-7612	181	2	natural	natural	ADJ
fumecheng-7612	181	3	frequency	frequency	NOUN
fumecheng-7612	181	4	can	can	AUX
fumecheng-7612	181	5	be	be	AUX
fumecheng-7612	181	6	obtained	obtain	VERB
fumecheng-7612	181	7	by	by	ADP
fumecheng-7612	181	8	introducing	introduce	VERB
fumecheng-7612	181	9	the	the	DET
fumecheng-7612	181	10	mode	mode	NOUN
fumecheng-7612	181	11	function	function	NOUN
fumecheng-7612	181	12	into	into	ADP
fumecheng-7612	181	13	the	the	DET
fumecheng-7612	181	14	boundary	boundary	ADJ
fumecheng-7612	181	15	condition	condition	NOUN
fumecheng-7612	181	16	and	and	CCONJ
fumecheng-7612	181	17	solving	solve	VERB
fumecheng-7612	181	18	the	the	DET
fumecheng-7612	181	19	study	study	NOUN
fumecheng-7612	181	20	on	on	ADP
fumecheng-7612	181	21	vibration	vibration	NOUN
fumecheng-7612	181	22	response	response	NOUN
fumecheng-7612	181	23	of	of	ADP
fumecheng-7612	181	24	a	a	DET
fumecheng-7612	181	25	non	non	ADJ
fumecheng-7612	181	26	-	-	ADJ
fumecheng-7612	181	27	uniform	uniform	ADJ
fumecheng-7612	181	28	beam	beam	NOUN
fumecheng-7612	181	29	with	with	ADP
fumecheng-7612	181	30	nonlinear	nonlinear	ADJ
fumecheng-7612	181	31	boundary	boundary	ADJ
fumecheng-7612	181	32	condition	condition	NOUN
fumecheng-7612	181	33	787	787	NUM
fumecheng-7612	181	34	eigenvalue	eigenvalue	NOUN
fumecheng-7612	181	35	problem	problem	NOUN
fumecheng-7612	181	36	.	.	PUNCT
fumecheng-7612	182	1	the	the	DET
fumecheng-7612	182	2	detailed	detailed	ADJ
fumecheng-7612	182	3	solving	solving	NOUN
fumecheng-7612	182	4	process	process	NOUN
fumecheng-7612	182	5	of	of	ADP
fumecheng-7612	182	6	the	the	DET
fumecheng-7612	182	7	mode	mode	NOUN
fumecheng-7612	182	8	shape	shape	NOUN
fumecheng-7612	182	9	functions	function	NOUN
fumecheng-7612	182	10	and	and	CCONJ
fumecheng-7612	182	11	nature	nature	NOUN
fumecheng-7612	182	12	frequencies	frequency	NOUN
fumecheng-7612	182	13	of	of	ADP
fumecheng-7612	182	14	the	the	DET
fumecheng-7612	182	15	non	non	ADJ
fumecheng-7612	182	16	-	-	ADJ
fumecheng-7612	182	17	uniform	uniform	ADJ
fumecheng-7612	182	18	beam	beam	NOUN
fumecheng-7612	182	19	with	with	ADP
fumecheng-7612	182	20	general	general	ADJ
fumecheng-7612	182	21	linear	linear	PROPN
fumecheng-7612	182	22	boundary	boundary	ADJ
fumecheng-7612	182	23	conditions	condition	NOUN
fumecheng-7612	182	24	can	can	AUX
fumecheng-7612	182	25	be	be	AUX
fumecheng-7612	182	26	found	find	VERB
fumecheng-7612	182	27	in	in	ADP
fumecheng-7612	182	28	references	reference	NOUN
fumecheng-7612	182	29	[	[	X
fumecheng-7612	182	30	5	5	NUM
fumecheng-7612	182	31	-	-	SYM
fumecheng-7612	182	32	7	7	NUM
fumecheng-7612	182	33	]	]	PUNCT
fumecheng-7612	182	34	and	and	CCONJ
fumecheng-7612	182	35	is	be	AUX
fumecheng-7612	182	36	hence	hence	ADV
fumecheng-7612	182	37	not	not	PART
fumecheng-7612	182	38	provided	provide	VERB
fumecheng-7612	182	39	here	here	ADV
fumecheng-7612	182	40	.	.	PUNCT
fumecheng-7612	183	1	after	after	SCONJ
fumecheng-7612	183	2	the	the	DET
fumecheng-7612	183	3	natures	nature	NOUN
fumecheng-7612	183	4	(	(	PUNCT
fumecheng-7612	183	5	natural	natural	ADJ
fumecheng-7612	183	6	frequencies	frequency	NOUN
fumecheng-7612	183	7	and	and	CCONJ
fumecheng-7612	183	8	modes	mode	NOUN
fumecheng-7612	183	9	shapes	shape	NOUN
fumecheng-7612	183	10	)	)	PUNCT
fumecheng-7612	183	11	of	of	ADP
fumecheng-7612	183	12	the	the	DET
fumecheng-7612	183	13	structure	structure	NOUN
fumecheng-7612	183	14	vibration	vibration	NOUN
fumecheng-7612	183	15	are	be	AUX
fumecheng-7612	183	16	solved	solve	VERB
fumecheng-7612	183	17	by	by	ADP
fumecheng-7612	183	18	free	free	ADJ
fumecheng-7612	183	19	vibration	vibration	NOUN
fumecheng-7612	183	20	analysis	analysis	NOUN
fumecheng-7612	183	21	and	and	CCONJ
fumecheng-7612	183	22	adm	adm	PROPN
fumecheng-7612	183	23	,	,	PUNCT
fumecheng-7612	183	24	the	the	DET
fumecheng-7612	183	25	forced	force	VERB
fumecheng-7612	183	26	vibration	vibration	NOUN
fumecheng-7612	183	27	response	response	NOUN
fumecheng-7612	183	28	can	can	AUX
fumecheng-7612	183	29	be	be	AUX
fumecheng-7612	183	30	solved	solve	VERB
fumecheng-7612	183	31	using	use	VERB
fumecheng-7612	183	32	the	the	DET
fumecheng-7612	183	33	modal	modal	ADJ
fumecheng-7612	183	34	analysis	analysis	NOUN
fumecheng-7612	183	35	.	.	PUNCT
fumecheng-7612	184	1	the	the	DET
fumecheng-7612	184	2	forced	force	VERB
fumecheng-7612	184	3	vibration	vibration	NOUN
fumecheng-7612	184	4	governing	govern	VERB
fumecheng-7612	184	5	equation	equation	NOUN
fumecheng-7612	184	6	of	of	ADP
fumecheng-7612	184	7	non	non	ADJ
fumecheng-7612	184	8	-	-	ADJ
fumecheng-7612	184	9	uniform	uniform	ADJ
fumecheng-7612	184	10	beam	beam	NOUN
fumecheng-7612	184	11	structure	structure	NOUN
fumecheng-7612	184	12	considering	consider	VERB
fumecheng-7612	184	13	damping	damp	VERB
fumecheng-7612	184	14	under	under	ADP
fumecheng-7612	184	15	action	action	NOUN
fumecheng-7612	184	16	of	of	ADP
fumecheng-7612	184	17	f(x	f(x	PROPN
fumecheng-7612	184	18	,	,	PUNCT
fumecheng-7612	184	19	t	t	PROPN
fumecheng-7612	184	20	)	)	PUNCT
fumecheng-7612	184	21	,	,	PUNCT
fumecheng-7612	184	22	which	which	PRON
fumecheng-7612	184	23	is	be	AUX
fumecheng-7612	184	24	from	from	ADP
fumecheng-7612	184	25	a	a	DET
fumecheng-7612	184	26	base	base	NOUN
fumecheng-7612	184	27	motion	motion	NOUN
fumecheng-7612	184	28	,	,	PUNCT
fumecheng-7612	184	29	y	y	PROPN
fumecheng-7612	184	30	sin(	sin(	NOUN
fumecheng-7612	184	31			PROPN
fumecheng-7612	184	32	t	t	PROPN
fumecheng-7612	184	33	)	)	PUNCT
fumecheng-7612	184	34	,	,	PUNCT
fumecheng-7612	184	35	is	be	AUX
fumecheng-7612	184	36	given	give	VERB
fumecheng-7612	184	37	below	below	ADP
fumecheng-7612	184	38	,	,	PUNCT
fumecheng-7612	184	39	2	2	NUM
fumecheng-7612	184	40	2	2	NUM
fumecheng-7612	184	41	2	2	NUM
fumecheng-7612	184	42	3	3	NUM
fumecheng-7612	184	43	2	2	NUM
fumecheng-7612	184	44	2	2	NUM
fumecheng-7612	184	45	2	2	NUM
fumecheng-7612	184	46	2	2	NUM
fumecheng-7612	184	47	2	2	NUM
fumecheng-7612	184	48	(	(	PUNCT
fumecheng-7612	184	49	,	,	PUNCT
fumecheng-7612	184	50	)	)	PUNCT
fumecheng-7612	184	51	(	(	PUNCT
fumecheng-7612	184	52	,	,	PUNCT
fumecheng-7612	184	53	)	)	PUNCT
fumecheng-7612	184	54	(	(	PUNCT
fumecheng-7612	184	55	,	,	PUNCT
fumecheng-7612	184	56	)	)	PUNCT
fumecheng-7612	184	57	(	(	PUNCT
fumecheng-7612	184	58	)	)	PUNCT
fumecheng-7612	184	59	(	(	PUNCT
fumecheng-7612	184	60	)	)	PUNCT
fumecheng-7612	185	1	+	+	CCONJ
fumecheng-7612	185	2	(	(	PUNCT
fumecheng-7612	185	3	)	)	PUNCT
fumecheng-7612	185	4	(	(	PUNCT
fumecheng-7612	185	5	)	)	PUNCT
fumecheng-7612	185	6	(	(	PUNCT
fumecheng-7612	185	7	,	,	PUNCT
fumecheng-7612	185	8	)	)	PUNCT
fumecheng-7612	185	9	=(	=(	ADJ
fumecheng-7612	185	10	)	)	PUNCT
fumecheng-7612	185	11	sin	sin	NOUN
fumecheng-7612	185	12	(	(	PUNCT
fumecheng-7612	185	13	)	)	PUNCT
fumecheng-7612	185	14	w	w	PROPN
fumecheng-7612	185	15	x	x	SYM
fumecheng-7612	185	16	t	t	PROPN
fumecheng-7612	185	17	w	w	PROPN
fumecheng-7612	185	18	x	x	PROPN
fumecheng-7612	185	19	t	t	PROPN
fumecheng-7612	185	20	w	w	PROPN
fumecheng-7612	185	21	x	x	PROPN
fumecheng-7612	185	22	t	t	PROPN
fumecheng-7612	185	23	a	a	PRON
fumecheng-7612	185	24	x	x	X
fumecheng-7612	185	25	ei	ei	X
fumecheng-7612	185	26	x	x	NOUN
fumecheng-7612	185	27	c	c	NOUN
fumecheng-7612	185	28	x	x	PUNCT
fumecheng-7612	185	29	i	i	NOUN
fumecheng-7612	185	30	x	x	X
fumecheng-7612	185	31	f	f	NOUN
fumecheng-7612	185	32	x	x	SYM
fumecheng-7612	185	33	t	t	NOUN
fumecheng-7612	185	34	t	t	NOUN
fumecheng-7612	185	35	x	x	PUNCT
fumecheng-7612	185	36	x	x	PUNCT
fumecheng-7612	185	37	x	x	X
fumecheng-7612	185	38	t	t	PROPN
fumecheng-7612	185	39	a	a	X
fumecheng-7612	185	40	x	x	SYM
fumecheng-7612	185	41	y	y	PROPN
fumecheng-7612	185	42	t	t	PROPN
fumecheng-7612	185	43			ADV
fumecheng-7612	185	44			ADP
fumecheng-7612	185	45			PROPN
fumecheng-7612	185	46			PROPN
fumecheng-7612	185	47			PROPN
fumecheng-7612	185	48			ADJ
fumecheng-7612	185	49			ADJ
fumecheng-7612	185	50			ADJ
fumecheng-7612	185	51			PROPN
fumecheng-7612	185	52	+	+	SYM
fumecheng-7612	185	53	=	=	NOUN
fumecheng-7612	185	54			NOUN
fumecheng-7612	185	55			ADJ
fumecheng-7612	185	56			ADJ
fumecheng-7612	185	57			ADJ
fumecheng-7612	185	58			PROPN
fumecheng-7612	185	59			PROPN
fumecheng-7612	185	60			PROPN
fumecheng-7612	185	61			PROPN
fumecheng-7612	185	62	,	,	PUNCT
fumecheng-7612	185	63	(	(	PUNCT
fumecheng-7612	185	64	14	14	NUM
fumecheng-7612	185	65	)	)	PUNCT
fumecheng-7612	185	66	where	where	SCONJ
fumecheng-7612	185	67	c(x	c(x	NOUN
fumecheng-7612	185	68	)	)	PUNCT
fumecheng-7612	185	69	is	be	AUX
fumecheng-7612	185	70	the	the	DET
fumecheng-7612	185	71	strain	strain	NOUN
fumecheng-7612	185	72	rate	rate	NOUN
fumecheng-7612	185	73	damping	damp	VERB
fumecheng-7612	185	74	coefficient	coefficient	NOUN
fumecheng-7612	185	75	.	.	PUNCT
fumecheng-7612	186	1	y	y	PROPN
fumecheng-7612	186	2	is	be	AUX
fumecheng-7612	186	3	the	the	DET
fumecheng-7612	186	4	amplitude	amplitude	NOUN
fumecheng-7612	186	5	of	of	ADP
fumecheng-7612	186	6	the	the	DET
fumecheng-7612	186	7	base	base	NOUN
fumecheng-7612	186	8	displacement	displacement	NOUN
fumecheng-7612	186	9	and	and	CCONJ
fumecheng-7612	186	10			PROPN
fumecheng-7612	186	11	is	be	AUX
fumecheng-7612	186	12	the	the	DET
fumecheng-7612	186	13	angular	angular	ADJ
fumecheng-7612	186	14	frequency	frequency	NOUN
fumecheng-7612	186	15	of	of	ADP
fumecheng-7612	186	16	the	the	DET
fumecheng-7612	186	17	base	base	NOUN
fumecheng-7612	186	18	vibration	vibration	NOUN
fumecheng-7612	186	19	.	.	PUNCT
fumecheng-7612	187	1	substituting	substitute	VERB
fumecheng-7612	187	2	eq	eq	ADP
fumecheng-7612	187	3	.	.	PUNCT
fumecheng-7612	188	1	(	(	PUNCT
fumecheng-7612	188	2	6	6	NUM
fumecheng-7612	188	3	)	)	PUNCT
fumecheng-7612	188	4	into	into	ADP
fumecheng-7612	188	5	eq	eq	NOUN
fumecheng-7612	188	6	.	.	PUNCT
fumecheng-7612	189	1	(	(	PUNCT
fumecheng-7612	189	2	14	14	NUM
fumecheng-7612	189	3	)	)	PUNCT
fumecheng-7612	189	4	,	,	PUNCT
fumecheng-7612	189	5	the	the	DET
fumecheng-7612	189	6	following	follow	VERB
fumecheng-7612	189	7	equation	equation	NOUN
fumecheng-7612	189	8	can	can	AUX
fumecheng-7612	189	9	be	be	AUX
fumecheng-7612	189	10	obtained	obtain	VERB
fumecheng-7612	189	11	,	,	PUNCT
fumecheng-7612	189	12	2	2	NUM
fumecheng-7612	189	13	2	2	NUM
fumecheng-7612	189	14	1	1	NUM
fumecheng-7612	189	15	2	2	NUM
fumecheng-7612	189	16	22	22	NUM
fumecheng-7612	189	17	2	2	NUM
fumecheng-7612	189	18	2	2	NUM
fumecheng-7612	189	19	2	2	NUM
fumecheng-7612	189	20	2	2	NUM
fumecheng-7612	189	21	1	1	NUM
fumecheng-7612	189	22	1	1	NUM
fumecheng-7612	189	23	(	(	PUNCT
fumecheng-7612	189	24	)	)	PUNCT
fumecheng-7612	189	25	(	(	PUNCT
fumecheng-7612	189	26	)	)	PUNCT
fumecheng-7612	189	27	(	(	PUNCT
fumecheng-7612	189	28	)	)	PUNCT
fumecheng-7612	189	29	(	(	PUNCT
fumecheng-7612	189	30	)	)	PUNCT
fumecheng-7612	189	31	(	(	PUNCT
fumecheng-7612	189	32	)	)	PUNCT
fumecheng-7612	189	33	(	(	PUNCT
fumecheng-7612	189	34	)	)	PUNCT
fumecheng-7612	189	35	(	(	PUNCT
fumecheng-7612	189	36	)	)	PUNCT
fumecheng-7612	189	37	(	(	PUNCT
fumecheng-7612	189	38	)	)	PUNCT
fumecheng-7612	190	1	+	+	CCONJ
fumecheng-7612	190	2	(	(	PUNCT
fumecheng-7612	190	3	)	)	PUNCT
fumecheng-7612	190	4	(	(	PUNCT
fumecheng-7612	190	5	)	)	PUNCT
fumecheng-7612	190	6	(	(	PUNCT
fumecheng-7612	190	7	)	)	PUNCT
fumecheng-7612	190	8	sin	sin	NOUN
fumecheng-7612	190	9	(	(	PUNCT
fumecheng-7612	190	10	)	)	PUNCT
fumecheng-7612	190	11	.	.	PUNCT
fumecheng-7612	191	1	i	i	PRON
fumecheng-7612	191	2	i	i	PRON
fumecheng-7612	192	1	i	i	PRON
fumecheng-7612	192	2	i	i	PRON
fumecheng-7612	193	1	i	i	PRON
fumecheng-7612	193	2	i	i	PRON
fumecheng-7612	194	1	i	i	PRON
fumecheng-7612	195	1	i	i	PRON
fumecheng-7612	195	2	i	i	VERB
fumecheng-7612	196	1	d	d	X
fumecheng-7612	196	2	q	q	PROPN
fumecheng-7612	196	3	t	t	PROPN
fumecheng-7612	196	4	a	a	DET
fumecheng-7612	196	5	x	x	X
fumecheng-7612	196	6	w	w	NOUN
fumecheng-7612	196	7	x	x	X
fumecheng-7612	196	8	dt	dt	X
fumecheng-7612	197	1	d	d	X
fumecheng-7612	197	2	w	w	PROPN
fumecheng-7612	197	3	x	x	X
fumecheng-7612	197	4	dq	dq	PROPN
fumecheng-7612	197	5	t	t	PROPN
fumecheng-7612	198	1	d	d	X
fumecheng-7612	198	2	w	w	PROPN
fumecheng-7612	198	3	xd	xd	INTJ
fumecheng-7612	198	4	ei	ei	NOUN
fumecheng-7612	198	5	x	x	X
fumecheng-7612	198	6	q	q	PROPN
fumecheng-7612	198	7	t	t	NOUN
fumecheng-7612	198	8	c	c	NOUN
fumecheng-7612	199	1	x	x	SYM
fumecheng-7612	199	2	i	i	NOUN
fumecheng-7612	199	3	x	x	X
fumecheng-7612	199	4	a	a	PRON
fumecheng-7612	199	5	x	x	X
fumecheng-7612	199	6	y	y	NOUN
fumecheng-7612	199	7	t	t	PROPN
fumecheng-7612	199	8	dtdx	dtdx	PROPN
fumecheng-7612	199	9	dx	dx	PROPN
fumecheng-7612	199	10	dx	dx	PROPN
fumecheng-7612	199	11			PROPN
fumecheng-7612	199	12	=	=	SYM
fumecheng-7612	199	13			NOUN
fumecheng-7612	199	14			NOUN
fumecheng-7612	199	15	=	=	PUNCT
fumecheng-7612	200	1	=	=	PUNCT
fumecheng-7612	201	1	+	+	NUM
fumecheng-7612	201	2			NUM
fumecheng-7612	201	3			NOUN
fumecheng-7612	201	4	=	=	NOUN
fumecheng-7612	201	5			NOUN
fumecheng-7612	201	6			NOUN
fumecheng-7612	201	7			NOUN
fumecheng-7612	201	8			PROPN
fumecheng-7612	201	9			X
fumecheng-7612	201	10			X
fumecheng-7612	201	11			X
fumecheng-7612	201	12			ADP
fumecheng-7612	201	13			ADP
fumecheng-7612	201	14			ADJ
fumecheng-7612	201	15			PROPN
fumecheng-7612	201	16	(	(	PUNCT
fumecheng-7612	201	17	15	15	NUM
fumecheng-7612	201	18	)	)	PUNCT
fumecheng-7612	201	19	based	base	VERB
fumecheng-7612	201	20	on	on	ADP
fumecheng-7612	201	21	the	the	DET
fumecheng-7612	201	22	understanding	understanding	NOUN
fumecheng-7612	201	23	from	from	ADP
fumecheng-7612	201	24	the	the	DET
fumecheng-7612	201	25	free	free	ADJ
fumecheng-7612	201	26	vibration	vibration	NOUN
fumecheng-7612	201	27	governing	govern	VERB
fumecheng-7612	201	28	equation	equation	NOUN
fumecheng-7612	201	29	,	,	PUNCT
fumecheng-7612	201	30	for	for	ADP
fumecheng-7612	201	31	the	the	DET
fumecheng-7612	201	32	i	i	PROPN
fumecheng-7612	201	33	-	-	PUNCT
fumecheng-7612	201	34	th	th	X
fumecheng-7612	201	35	mode	mode	NOUN
fumecheng-7612	201	36	of	of	ADP
fumecheng-7612	201	37	free	free	ADJ
fumecheng-7612	201	38	vibration	vibration	NOUN
fumecheng-7612	201	39	,	,	PUNCT
fumecheng-7612	201	40	we	we	PRON
fumecheng-7612	201	41	have	have	VERB
fumecheng-7612	201	42	22	22	NUM
fumecheng-7612	201	43	2	2	NUM
fumecheng-7612	201	44	2	2	NUM
fumecheng-7612	201	45	2	2	NUM
fumecheng-7612	201	46	(	(	PUNCT
fumecheng-7612	201	47	)	)	PUNCT
fumecheng-7612	201	48	(	(	PUNCT
fumecheng-7612	201	49	)	)	PUNCT
fumecheng-7612	201	50	(	(	PUNCT
fumecheng-7612	201	51	)	)	PUNCT
fumecheng-7612	202	1	(	(	PUNCT
fumecheng-7612	202	2	)	)	PUNCT
fumecheng-7612	202	3	i	i	PRON
fumecheng-7612	202	4	i	i	PRON
fumecheng-7612	203	1	i	i	VERB
fumecheng-7612	204	1	d	d	VERB
fumecheng-7612	204	2	w	w	VERB
fumecheng-7612	204	3	xd	xd	INTJ
fumecheng-7612	204	4	ei	ei	X
fumecheng-7612	204	5	x	x	PUNCT
fumecheng-7612	204	6	a	a	DET
fumecheng-7612	204	7	x	x	X
fumecheng-7612	204	8	w	w	NOUN
fumecheng-7612	204	9	x	x	SYM
fumecheng-7612	204	10	dx	dx	PROPN
fumecheng-7612	204	11	dx	dx	PROPN
fumecheng-7612	204	12			ADP
fumecheng-7612	204	13			PROPN
fumecheng-7612	204	14			PROPN
fumecheng-7612	204	15			NOUN
fumecheng-7612	204	16	=	=	NOUN
fumecheng-7612	204	17			NOUN
fumecheng-7612	204	18			NOUN
fumecheng-7612	204	19			NOUN
fumecheng-7612	204	20			PROPN
fumecheng-7612	204	21	,	,	PUNCT
fumecheng-7612	204	22	(	(	PUNCT
fumecheng-7612	204	23	16	16	NUM
fumecheng-7612	204	24	)	)	PUNCT
fumecheng-7612	204	25	with	with	ADP
fumecheng-7612	204	26	the	the	DET
fumecheng-7612	204	27	understanding	understanding	NOUN
fumecheng-7612	204	28	from	from	ADP
fumecheng-7612	204	29	the	the	DET
fumecheng-7612	204	30	relationship	relationship	NOUN
fumecheng-7612	204	31	given	give	VERB
fumecheng-7612	204	32	in	in	ADP
fumecheng-7612	204	33	the	the	DET
fumecheng-7612	204	34	above	above	ADJ
fumecheng-7612	204	35	equation	equation	NOUN
fumecheng-7612	204	36	,	,	PUNCT
fumecheng-7612	204	37	both	both	DET
fumecheng-7612	204	38	sides	side	NOUN
fumecheng-7612	204	39	of	of	ADP
fumecheng-7612	204	40	eq	eq	PROPN
fumecheng-7612	204	41	.	.	PUNCT
fumecheng-7612	205	1	(	(	PUNCT
fumecheng-7612	205	2	15	15	NUM
fumecheng-7612	205	3	)	)	PUNCT
fumecheng-7612	205	4	multiplied	multiply	VERB
fumecheng-7612	205	5	by	by	ADP
fumecheng-7612	205	6	wj(x	wj(x	NOUN
fumecheng-7612	205	7	)	)	PUNCT
fumecheng-7612	205	8	(	(	PUNCT
fumecheng-7612	205	9	i	i	PROPN
fumecheng-7612	205	10	=	=	PROPN
fumecheng-7612	205	11	j	j	NOUN
fumecheng-7612	205	12	)	)	PUNCT
fumecheng-7612	205	13	and	and	CCONJ
fumecheng-7612	205	14	integrated	integrate	VERB
fumecheng-7612	205	15	from	from	ADP
fumecheng-7612	205	16	0	0	NUM
fumecheng-7612	205	17	to	to	ADP
fumecheng-7612	205	18	l	l	NOUN
fumecheng-7612	205	19	in	in	ADP
fumecheng-7612	205	20	space	space	NOUN
fumecheng-7612	205	21	domain	domain	NOUN
fumecheng-7612	205	22	leads	lead	VERB
fumecheng-7612	205	23	to	to	ADP
fumecheng-7612	205	24	,	,	PUNCT
fumecheng-7612	205	25	2	2	NUM
fumecheng-7612	205	26	20	20	NUM
fumecheng-7612	205	27	1	1	NUM
fumecheng-7612	205	28	2	2	NUM
fumecheng-7612	205	29	22	22	NUM
fumecheng-7612	205	30	2	2	NUM
fumecheng-7612	205	31	2	2	NUM
fumecheng-7612	205	32	20	20	NUM
fumecheng-7612	205	33	1	1	NUM
fumecheng-7612	205	34	1	1	NUM
fumecheng-7612	205	35	2	2	NUM
fumecheng-7612	205	36	0	0	NUM
fumecheng-7612	205	37	(	(	PUNCT
fumecheng-7612	205	38	)	)	PUNCT
fumecheng-7612	205	39	(	(	PUNCT
fumecheng-7612	205	40	)	)	PUNCT
fumecheng-7612	205	41	(	(	PUNCT
fumecheng-7612	205	42	)	)	PUNCT
fumecheng-7612	205	43	(	(	PUNCT
fumecheng-7612	205	44	)	)	PUNCT
fumecheng-7612	205	45	(	(	PUNCT
fumecheng-7612	205	46	)	)	PUNCT
fumecheng-7612	205	47	(	(	PUNCT
fumecheng-7612	205	48	)	)	PUNCT
fumecheng-7612	205	49	(	(	PUNCT
fumecheng-7612	205	50	)	)	PUNCT
fumecheng-7612	205	51	(	(	PUNCT
fumecheng-7612	205	52	)	)	PUNCT
fumecheng-7612	205	53	(	(	PUNCT
fumecheng-7612	205	54	)	)	PUNCT
fumecheng-7612	206	1	+	+	CCONJ
fumecheng-7612	206	2	(	(	PUNCT
fumecheng-7612	206	3	)	)	PUNCT
fumecheng-7612	206	4	(	(	PUNCT
fumecheng-7612	206	5	)	)	PUNCT
fumecheng-7612	206	6	(	(	PUNCT
fumecheng-7612	206	7	)	)	PUNCT
fumecheng-7612	206	8	sin	sin	NOUN
fumecheng-7612	206	9	(	(	PUNCT
fumecheng-7612	206	10	)	)	PUNCT
fumecheng-7612	206	11	(	(	PUNCT
fumecheng-7612	206	12	)	)	PUNCT
fumecheng-7612	206	13	(	(	PUNCT
fumecheng-7612	206	14	)	)	PUNCT
fumecheng-7612	206	15	l	l	NOUN
fumecheng-7612	207	1	i	i	PRON
fumecheng-7612	207	2	i	i	INTJ
fumecheng-7612	208	1	j	j	VERB
fumecheng-7612	209	1	i	i	PRON
fumecheng-7612	209	2	l	l	VERB
fumecheng-7612	210	1	i	i	PRON
fumecheng-7612	210	2	i	i	PRON
fumecheng-7612	211	1	i	i	PRON
fumecheng-7612	212	1	i	i	PRON
fumecheng-7612	212	2	j	j	VERB
fumecheng-7612	213	1	i	i	PRON
fumecheng-7612	214	1	i	i	VERB
fumecheng-7612	214	2	l	l	NOUN
fumecheng-7612	215	1	j	j	PROPN
fumecheng-7612	216	1	d	d	X
fumecheng-7612	216	2	q	q	PROPN
fumecheng-7612	216	3	t	t	PROPN
fumecheng-7612	216	4	a	a	DET
fumecheng-7612	216	5	x	x	X
fumecheng-7612	216	6	w	w	PROPN
fumecheng-7612	216	7	x	x	PROPN
fumecheng-7612	216	8	w	w	PROPN
fumecheng-7612	216	9	x	x	X
fumecheng-7612	216	10	dx	dx	PROPN
fumecheng-7612	217	1	dt	dt	PROPN
fumecheng-7612	218	1	d	d	X
fumecheng-7612	218	2	w	w	PROPN
fumecheng-7612	218	3	x	x	X
fumecheng-7612	218	4	dq	dq	PROPN
fumecheng-7612	218	5	t	t	PROPN
fumecheng-7612	219	1	d	d	X
fumecheng-7612	219	2	w	w	PROPN
fumecheng-7612	219	3	xd	xd	INTJ
fumecheng-7612	219	4	ei	ei	NOUN
fumecheng-7612	219	5	x	x	X
fumecheng-7612	219	6	q	q	PROPN
fumecheng-7612	219	7	t	t	NOUN
fumecheng-7612	219	8	c	c	NOUN
fumecheng-7612	219	9	x	x	PUNCT
fumecheng-7612	220	1	i	i	NOUN
fumecheng-7612	220	2	x	x	VERB
fumecheng-7612	220	3	w	w	NOUN
fumecheng-7612	220	4	x	x	PUNCT
fumecheng-7612	220	5	dx	dx	PROPN
fumecheng-7612	221	1	dtdx	dtdx	PROPN
fumecheng-7612	221	2	dx	dx	PROPN
fumecheng-7612	221	3	dx	dx	PROPN
fumecheng-7612	222	1	y	y	PROPN
fumecheng-7612	222	2	t	t	PROPN
fumecheng-7612	222	3	a	a	DET
fumecheng-7612	222	4	x	x	SYM
fumecheng-7612	222	5	w	w	PROPN
fumecheng-7612	222	6	x	x	PROPN
fumecheng-7612	222	7	dx	dx	PROPN
fumecheng-7612	222	8			ADP
fumecheng-7612	222	9			X
fumecheng-7612	222	10			PROPN
fumecheng-7612	222	11			NOUN
fumecheng-7612	222	12	=	=	SYM
fumecheng-7612	222	13			NOUN
fumecheng-7612	222	14			NOUN
fumecheng-7612	222	15	=	=	PUNCT
fumecheng-7612	222	16	=	=	SYM
fumecheng-7612	222	17			NUM
fumecheng-7612	222	18			NOUN
fumecheng-7612	222	19	+	+	X
fumecheng-7612	222	20			AUX
fumecheng-7612	222	21			NOUN
fumecheng-7612	222	22			NOUN
fumecheng-7612	222	23			PROPN
fumecheng-7612	222	24	=	=	SYM
fumecheng-7612	222	25			PROPN
fumecheng-7612	222	26			X
fumecheng-7612	222	27			NUM
fumecheng-7612	222	28			PUNCT
fumecheng-7612	222	29	.	.	PUNCT
fumecheng-7612	223	1	(	(	PUNCT
fumecheng-7612	223	2	17	17	NUM
fumecheng-7612	223	3	)	)	PUNCT
fumecheng-7612	223	4	since	since	SCONJ
fumecheng-7612	223	5	in	in	ADP
fumecheng-7612	223	6	general	general	ADJ
fumecheng-7612	223	7	,	,	PUNCT
fumecheng-7612	223	8	the	the	DET
fumecheng-7612	223	9	damping	damp	VERB
fumecheng-7612	223	10	function	function	NOUN
fumecheng-7612	223	11	does	do	AUX
fumecheng-7612	223	12	not	not	PART
fumecheng-7612	223	13	possess	possess	VERB
fumecheng-7612	223	14	the	the	DET
fumecheng-7612	223	15	orthogonality	orthogonality	NOUN
fumecheng-7612	223	16	property	property	NOUN
fumecheng-7612	223	17	,	,	PUNCT
fumecheng-7612	223	18	it	it	PRON
fumecheng-7612	223	19	is	be	AUX
fumecheng-7612	223	20	assumed	assume	VERB
fumecheng-7612	223	21	that	that	SCONJ
fumecheng-7612	223	22	the	the	DET
fumecheng-7612	223	23	structural	structural	ADJ
fumecheng-7612	223	24	damping	damping	NOUN
fumecheng-7612	223	25	is	be	AUX
fumecheng-7612	223	26	in	in	ADP
fumecheng-7612	223	27	the	the	DET
fumecheng-7612	223	28	form	form	NOUN
fumecheng-7612	223	29	of	of	ADP
fumecheng-7612	223	30	c(x)=αe	c(x)=αe	NOUN
fumecheng-7612	223	31	where	where	SCONJ
fumecheng-7612	223	32	α	α	NOUN
fumecheng-7612	223	33	is	be	AUX
fumecheng-7612	223	34	a	a	DET
fumecheng-7612	223	35	constant	constant	ADJ
fumecheng-7612	223	36	.	.	PUNCT
fumecheng-7612	224	1	according	accord	VERB
fumecheng-7612	224	2	to	to	ADP
fumecheng-7612	224	3	the	the	DET
fumecheng-7612	224	4	orthogonality	orthogonality	NOUN
fumecheng-7612	224	5	of	of	ADP
fumecheng-7612	224	6	normal	normal	ADJ
fumecheng-7612	224	7	vibration	vibration	NOUN
fumecheng-7612	224	8	modes	mode	NOUN
fumecheng-7612	224	9	,	,	PUNCT
fumecheng-7612	224	10	eq	eq	NOUN
fumecheng-7612	224	11	.	.	PUNCT
fumecheng-7612	225	1	(	(	PUNCT
fumecheng-7612	225	2	18	18	NUM
fumecheng-7612	225	3	)	)	PUNCT
fumecheng-7612	225	4	can	can	AUX
fumecheng-7612	225	5	be	be	AUX
fumecheng-7612	225	6	obtained	obtain	VERB
fumecheng-7612	225	7	,	,	PUNCT
fumecheng-7612	225	8	while	while	SCONJ
fumecheng-7612	225	9	αωi	αωi	ADJ
fumecheng-7612	225	10	2=2ξiωi	2=2ξiωi	NOUN
fumecheng-7612	225	11	is	be	AUX
fumecheng-7612	225	12	defined	define	VERB
fumecheng-7612	225	13	,	,	PUNCT
fumecheng-7612	225	14	22	22	NUM
fumecheng-7612	225	15	2	2	NUM
fumecheng-7612	225	16	0	0	NUM
fumecheng-7612	225	17	2	2	NUM
fumecheng-7612	225	18	2	2	NUM
fumecheng-7612	225	19	0	0	NUM
fumecheng-7612	225	20	sin	sin	NOUN
fumecheng-7612	225	21	(	(	PUNCT
fumecheng-7612	225	22	)	)	PUNCT
fumecheng-7612	225	23	(	(	PUNCT
fumecheng-7612	225	24	)	)	PUNCT
fumecheng-7612	225	25	(	(	PUNCT
fumecheng-7612	225	26	)	)	PUNCT
fumecheng-7612	225	27	(	(	PUNCT
fumecheng-7612	225	28	)	)	PUNCT
fumecheng-7612	225	29	(	(	PUNCT
fumecheng-7612	225	30	)	)	PUNCT
fumecheng-7612	225	31	2	2	NUM
fumecheng-7612	225	32	(	(	PUNCT
fumecheng-7612	225	33	)	)	PUNCT
fumecheng-7612	225	34	(	(	PUNCT
fumecheng-7612	225	35	)	)	PUNCT
fumecheng-7612	225	36	(	(	PUNCT
fumecheng-7612	225	37	)	)	PUNCT
fumecheng-7612	225	38	(	(	PUNCT
fumecheng-7612	225	39	)	)	PUNCT
fumecheng-7612	226	1	l	l	NOUN
fumecheng-7612	226	2	ii	ii	X
fumecheng-7612	227	1	i	i	PRON
fumecheng-7612	227	2	i	i	PRON
fumecheng-7612	228	1	i	i	PRON
fumecheng-7612	228	2	i	i	PRON
fumecheng-7612	229	1	i	i	PRON
fumecheng-7612	230	1	i	i	VERB
fumecheng-7612	230	2	l	l	VERB
fumecheng-7612	231	1	i	i	PRON
fumecheng-7612	231	2	y	y	PROPN
fumecheng-7612	231	3	t	t	PROPN
fumecheng-7612	231	4	a	a	DET
fumecheng-7612	231	5	x	x	SYM
fumecheng-7612	231	6	w	w	PROPN
fumecheng-7612	231	7	x	x	SYM
fumecheng-7612	231	8	dxd	dxd	PROPN
fumecheng-7612	231	9	q	q	PROPN
fumecheng-7612	231	10	t	t	PROPN
fumecheng-7612	232	1	dq	dq	PROPN
fumecheng-7612	232	2	t	t	PROPN
fumecheng-7612	232	3	q	q	PROPN
fumecheng-7612	233	1	t	t	PROPN
fumecheng-7612	233	2	f	f	PROPN
fumecheng-7612	233	3	t	t	PROPN
fumecheng-7612	233	4	dtdt	dtdt	VERB
fumecheng-7612	233	5	a	a	DET
fumecheng-7612	233	6	x	x	SYM
fumecheng-7612	233	7	w	w	PROPN
fumecheng-7612	233	8	x	x	X
fumecheng-7612	233	9	dx	dx	PROPN
fumecheng-7612	233	10			X
fumecheng-7612	233	11			PROPN
fumecheng-7612	233	12			NOUN
fumecheng-7612	233	13			X
fumecheng-7612	233	14			X
fumecheng-7612	233	15			X
fumecheng-7612	233	16	+	+	CCONJ
fumecheng-7612	234	1	+	+	PUNCT
fumecheng-7612	234	2	=	=	SYM
fumecheng-7612	234	3	=	=	NOUN
fumecheng-7612	234	4			NOUN
fumecheng-7612	234	5			X
fumecheng-7612	234	6	,	,	PUNCT
fumecheng-7612	234	7	(	(	PUNCT
fumecheng-7612	234	8	18	18	NUM
fumecheng-7612	234	9	)	)	PUNCT
fumecheng-7612	234	10	where	where	SCONJ
fumecheng-7612	234	11	ξi	ξi	NOUN
fumecheng-7612	234	12	is	be	AUX
fumecheng-7612	234	13	the	the	DET
fumecheng-7612	234	14	modal	modal	NOUN
fumecheng-7612	234	15	damping	damp	VERB
fumecheng-7612	234	16	ratio	ratio	NOUN
fumecheng-7612	234	17	of	of	ADP
fumecheng-7612	234	18	the	the	DET
fumecheng-7612	234	19	corresponding	correspond	VERB
fumecheng-7612	234	20	i	i	PROPN
fumecheng-7612	234	21	-	-	PUNCT
fumecheng-7612	234	22	th	th	X
fumecheng-7612	234	23	order	order	NOUN
fumecheng-7612	234	24	natural	natural	ADJ
fumecheng-7612	234	25	mode	mode	NOUN
fumecheng-7612	234	26	.	.	PUNCT
fumecheng-7612	235	1	788	788	NUM
fumecheng-7612	235	2	p.	p.	NOUN
fumecheng-7612	235	3	wang	wang	PROPN
fumecheng-7612	235	4	,	,	PUNCT
fumecheng-7612	235	5	n.	n.	PROPN
fumecheng-7612	235	6	wu	wu	PROPN
fumecheng-7612	235	7	,	,	PUNCT
fumecheng-7612	235	8	h.	h.	PROPN
fumecheng-7612	235	9	luo	luo	PROPN
fumecheng-7612	235	10	,	,	PUNCT
fumecheng-7612	235	11	z.	z.	PROPN
fumecheng-7612	235	12	sun	sun	PROPN
fumecheng-7612	235	13	eq	eq	PROPN
fumecheng-7612	235	14	.	.	PUNCT
fumecheng-7612	236	1	(	(	PUNCT
fumecheng-7612	236	2	18	18	NUM
fumecheng-7612	236	3	)	)	PUNCT
fumecheng-7612	236	4	can	can	AUX
fumecheng-7612	236	5	be	be	AUX
fumecheng-7612	236	6	solved	solve	VERB
fumecheng-7612	236	7	by	by	ADP
fumecheng-7612	236	8	duhamel	duhamel	PROPN
fumecheng-7612	236	9	integral	integral	PROPN
fumecheng-7612	236	10	,	,	PUNCT
fumecheng-7612	236	11	and	and	CCONJ
fumecheng-7612	236	12	the	the	DET
fumecheng-7612	236	13	final	final	ADJ
fumecheng-7612	236	14	time	time	NOUN
fumecheng-7612	236	15	domain	domain	NOUN
fumecheng-7612	236	16	solution	solution	NOUN
fumecheng-7612	236	17	for	for	ADP
fumecheng-7612	236	18	i	i	PROPN
fumecheng-7612	236	19	-	-	PUNCT
fumecheng-7612	236	20	th	th	VERB
fumecheng-7612	236	21	mode	mode	NOUN
fumecheng-7612	236	22	is	be	AUX
fumecheng-7612	236	23	,	,	PUNCT
fumecheng-7612	236	24	(	(	PUNCT
fumecheng-7612	236	25	)	)	PUNCT
fumecheng-7612	236	26	0	0	NUM
fumecheng-7612	237	1	2	2	NUM
fumecheng-7612	237	2	0	0	NUM
fumecheng-7612	237	3	5	5	NUM
fumecheng-7612	237	4	2	2	NUM
fumecheng-7612	237	5	2	2	NUM
fumecheng-7612	237	6	2	2	NUM
fumecheng-7612	237	7	3	3	NUM
fumecheng-7612	237	8	2	2	NUM
fumecheng-7612	237	9	2	2	NUM
fumecheng-7612	237	10	2	2	NUM
fumecheng-7612	237	11	2	2	NUM
fumecheng-7612	237	12	2	2	NUM
fumecheng-7612	237	13	0	0	NUM
fumecheng-7612	237	14	2	2	NUM
fumecheng-7612	237	15	2	2	NUM
fumecheng-7612	237	16	2	2	NUM
fumecheng-7612	237	17	2	2	NUM
fumecheng-7612	237	18	2	2	NUM
fumecheng-7612	237	19	2	2	NUM
fumecheng-7612	237	20	2	2	NUM
fumecheng-7612	237	21	2	2	NUM
fumecheng-7612	237	22	1	1	NUM
fumecheng-7612	237	23	(	(	PUNCT
fumecheng-7612	237	24	)	)	PUNCT
fumecheng-7612	237	25	(	(	PUNCT
fumecheng-7612	237	26	)	)	PUNCT
fumecheng-7612	237	27	sin	sin	NOUN
fumecheng-7612	237	28	(	(	PUNCT
fumecheng-7612	237	29	(	(	PUNCT
fumecheng-7612	237	30	)	)	PUNCT
fumecheng-7612	237	31	)	)	PUNCT
fumecheng-7612	237	32	(	(	PUNCT
fumecheng-7612	237	33	)	)	PUNCT
fumecheng-7612	237	34	(	(	PUNCT
fumecheng-7612	237	35	)	)	PUNCT
fumecheng-7612	237	36	=	=	SYM
fumecheng-7612	237	37	(	(	PUNCT
fumecheng-7612	237	38	(	(	PUNCT
fumecheng-7612	237	39	2	2	NUM
fumecheng-7612	237	40	2	2	NUM
fumecheng-7612	237	41	)	)	PUNCT
fumecheng-7612	237	42	(	(	PUNCT
fumecheng-7612	237	43	)	)	PUNCT
fumecheng-7612	237	44	)	)	PUNCT
fumecheng-7612	238	1	(	(	PUNCT
fumecheng-7612	238	2	)	)	PUNCT
fumecheng-7612	238	3	(	(	PUNCT
fumecheng-7612	238	4	)	)	PUNCT
fumecheng-7612	238	5	(	(	PUNCT
fumecheng-7612	238	6	(	(	PUNCT
fumecheng-7612	238	7	(	(	PUNCT
fumecheng-7612	238	8	)	)	PUNCT
fumecheng-7612	238	9	sin	sin	NOUN
fumecheng-7612	238	10	(	(	PUNCT
fumecheng-7612	238	11	)	)	PUNCT
fumecheng-7612	238	12	2	2	NUM
fumecheng-7612	238	13	cos	cos	PROPN
fumecheng-7612	238	14	(	(	PUNCT
fumecheng-7612	238	15	)	)	PUNCT
fumecheng-7612	238	16	)	)	PUNCT
fumecheng-7612	238	17	(	(	PUNCT
fumecheng-7612	238	18	(	(	PUNCT
fumecheng-7612	238	19	)	)	PUNCT
fumecheng-7612	238	20	si	si	INTJ
fumecheng-7612	238	21	i	i	PRON
fumecheng-7612	239	1	i	i	PRON
fumecheng-7612	240	1	i	i	PRON
fumecheng-7612	241	1	i	i	PRON
fumecheng-7612	242	1	i	i	PRON
fumecheng-7612	243	1	i	i	PRON
fumecheng-7612	244	1	i	i	PRON
fumecheng-7612	245	1	i	i	PRON
fumecheng-7612	246	1	i	i	PRON
fumecheng-7612	247	1	i	i	PRON
fumecheng-7612	248	1	i	i	PRON
fumecheng-7612	249	1	i	i	PRON
fumecheng-7612	250	1	i	i	PRON
fumecheng-7612	251	1	i	i	PRON
fumecheng-7612	252	1	i	i	PRON
fumecheng-7612	252	2	t	t	X
fumecheng-7612	253	1	t	t	NOUN
fumecheng-7612	254	1	i	i	PRON
fumecheng-7612	254	2	i	i	INTJ
fumecheng-7612	255	1	d	d	NOUN
fumecheng-7612	256	1	d	d	X
fumecheng-7612	256	2	l	l	NOUN
fumecheng-7612	257	1	i	i	NOUN
fumecheng-7612	257	2	l	l	NOUN
fumecheng-7612	258	1	d	d	NOUN
fumecheng-7612	258	2	i	i	PRON
fumecheng-7612	259	1	i	i	PRON
fumecheng-7612	260	1	d	d	VERB
fumecheng-7612	260	2	i	i	PRON
fumecheng-7612	261	1	i	i	INTJ
fumecheng-7612	262	1	d	d	VERB
fumecheng-7612	263	1	i	i	PRON
fumecheng-7612	264	1	t	t	VERB
fumecheng-7612	265	1	i	i	PRON
fumecheng-7612	266	1	i	i	INTJ
fumecheng-7612	267	1	d	d	NOUN
fumecheng-7612	267	2	d	d	PROPN
fumecheng-7612	268	1	d	d	NOUN
fumecheng-7612	268	2	i	i	PRON
fumecheng-7612	269	1	i	i	INTJ
fumecheng-7612	270	1	d	d	NOUN
fumecheng-7612	271	1	d	d	NOUN
fumecheng-7612	271	2	i	i	PRON
fumecheng-7612	272	1	i	i	VERB
fumecheng-7612	273	1	d	d	X
fumecheng-7612	273	2	q	q	PROPN
fumecheng-7612	274	1	t	t	X
fumecheng-7612	274	2	f	f	PROPN
fumecheng-7612	274	3	e	e	PROPN
fumecheng-7612	274	4	t	t	PROPN
fumecheng-7612	274	5	d	d	X
fumecheng-7612	274	6	y	y	PROPN
fumecheng-7612	274	7	a	a	X
fumecheng-7612	274	8	x	x	X
fumecheng-7612	274	9	w	w	PROPN
fumecheng-7612	274	10	x	x	X
fumecheng-7612	274	11	dx	dx	PROPN
fumecheng-7612	274	12	a	a	DET
fumecheng-7612	274	13	x	x	X
fumecheng-7612	274	14	w	w	PROPN
fumecheng-7612	274	15	x	x	X
fumecheng-7612	274	16	dx	dx	PROPN
fumecheng-7612	274	17	e	e	PROPN
fumecheng-7612	274	18	t	t	PROPN
fumecheng-7612	274	19	t	t	PROPN
fumecheng-7612	274	20	−	−	PROPN
fumecheng-7612	275	1	−	−	PROPN
fumecheng-7612	275	2	−	−	PROPN
fumecheng-7612	275	3	=	=	SYM
fumecheng-7612	275	4			PROPN
fumecheng-7612	275	5			VERB
fumecheng-7612	275	6	−	−	NOUN
fumecheng-7612	275	7	−	−	PROPN
fumecheng-7612	275	8			PROPN
fumecheng-7612	275	9	+	+	CCONJ
fumecheng-7612	275	10	−	−	PROPN
fumecheng-7612	276	1	+	+	CCONJ
fumecheng-7612	276	2	+	+	NUM
fumecheng-7612	276	3	−	−	ADP
fumecheng-7612	276	4	−	−	NUM
fumecheng-7612	276	5	−	−	PROPN
fumecheng-7612	277	1	+	+	CCONJ
fumecheng-7612	277	2	−	−	PROPN
fumecheng-7612	278	1	+	+	CCONJ
fumecheng-7612	278	2	−	−	PROPN
fumecheng-7612	279	1	+	+	CCONJ
fumecheng-7612	279	2			NOUN
fumecheng-7612	279	3			NOUN
fumecheng-7612	279	4			PUNCT
fumecheng-7612	279	5			X
fumecheng-7612	279	6			X
fumecheng-7612	279	7			NOUN
fumecheng-7612	279	8			NOUN
fumecheng-7612	279	9			X
fumecheng-7612	279	10			NOUN
fumecheng-7612	279	11			PROPN
fumecheng-7612	279	12			NOUN
fumecheng-7612	279	13			NOUN
fumecheng-7612	279	14			ADJ
fumecheng-7612	279	15			ADJ
fumecheng-7612	279	16			X
fumecheng-7612	279	17			NOUN
fumecheng-7612	279	18			X
fumecheng-7612	279	19			ADJ
fumecheng-7612	279	20			X
fumecheng-7612	279	21			NOUN
fumecheng-7612	279	22			X
fumecheng-7612	279	23			ADJ
fumecheng-7612	279	24			ADJ
fumecheng-7612	279	25			PROPN
fumecheng-7612	279	26			NOUN
fumecheng-7612	279	27			X
fumecheng-7612	279	28			PROPN
fumecheng-7612	279	29			X
fumecheng-7612	279	30			X
fumecheng-7612	279	31			X
fumecheng-7612	279	32			NOUN
fumecheng-7612	279	33			X
fumecheng-7612	279	34			X
fumecheng-7612	279	35			X
fumecheng-7612	279	36			NOUN
fumecheng-7612	279	37			X
fumecheng-7612	279	38			PROPN
fumecheng-7612	279	39			X
fumecheng-7612	279	40	n	n	CCONJ
fumecheng-7612	279	41	(	(	PUNCT
fumecheng-7612	279	42	)	)	PUNCT
fumecheng-7612	279	43	2	2	NUM
fumecheng-7612	279	44	cos	cos	PROPN
fumecheng-7612	279	45	(	(	PUNCT
fumecheng-7612	279	46	)	)	PUNCT
fumecheng-7612	279	47	)	)	PUNCT
fumecheng-7612	279	48	)	)	PUNCT
fumecheng-7612	280	1	i	i	PRON
fumecheng-7612	280	2	it	it	PRON
fumecheng-7612	280	3	t−	t−	INTJ
fumecheng-7612	280	4			NOUN
fumecheng-7612	280	5			X
fumecheng-7612	280	6			PROPN
fumecheng-7612	280	7	,	,	PUNCT
fumecheng-7612	280	8	(	(	PUNCT
fumecheng-7612	280	9	19	19	NUM
fumecheng-7612	280	10	)	)	PUNCT
fumecheng-7612	280	11	where	where	SCONJ
fumecheng-7612	280	12	id	id	NOUN
fumecheng-7612	280	13	is	be	AUX
fumecheng-7612	280	14	the	the	DET
fumecheng-7612	280	15	damped	damped	ADJ
fumecheng-7612	280	16	frequency	frequency	NOUN
fumecheng-7612	280	17	corresponding	correspond	VERB
fumecheng-7612	280	18	to	to	ADP
fumecheng-7612	280	19	the	the	DET
fumecheng-7612	280	20	i	i	PROPN
fumecheng-7612	280	21	-	-	PUNCT
fumecheng-7612	280	22	th	th	PROPN
fumecheng-7612	280	23	vibration	vibration	NOUN
fumecheng-7612	280	24	mode	mode	NOUN
fumecheng-7612	280	25	,	,	PUNCT
fumecheng-7612	280	26	2=	2=	NUM
fumecheng-7612	280	27	1id	1id	NOUN
fumecheng-7612	280	28	i	i	PRON
fumecheng-7612	280	29	i	i	NOUN
fumecheng-7612	280	30			VERB
fumecheng-7612	280	31			X
fumecheng-7612	280	32	,	,	PUNCT
fumecheng-7612	280	33	fi(	fi(	PROPN
fumecheng-7612	280	34	)	)	PUNCT
fumecheng-7612	280	35	is	be	AUX
fumecheng-7612	280	36	the	the	DET
fumecheng-7612	280	37	force	force	NOUN
fumecheng-7612	280	38	coefficient	coefficient	NOUN
fumecheng-7612	280	39	corresponding	correspond	VERB
fumecheng-7612	280	40	to	to	ADP
fumecheng-7612	280	41	the	the	DET
fumecheng-7612	280	42	i	i	PROPN
fumecheng-7612	280	43	-	-	PUNCT
fumecheng-7612	280	44	th	th	PROPN
fumecheng-7612	280	45	vibration	vibration	NOUN
fumecheng-7612	280	46	mode	mode	NOUN
fumecheng-7612	280	47	.	.	PUNCT
fumecheng-7612	281	1	according	accord	VERB
fumecheng-7612	281	2	to	to	ADP
fumecheng-7612	281	3	eq	eq	PROPN
fumecheng-7612	281	4	.	.	PUNCT
fumecheng-7612	282	1	(	(	PUNCT
fumecheng-7612	282	2	12	12	NUM
fumecheng-7612	282	3	)	)	PUNCT
fumecheng-7612	282	4	,	,	PUNCT
fumecheng-7612	282	5	eq	eq	NOUN
fumecheng-7612	282	6	.	.	PUNCT
fumecheng-7612	283	1	(	(	PUNCT
fumecheng-7612	283	2	13	13	NUM
fumecheng-7612	283	3	)	)	PUNCT
fumecheng-7612	283	4	and	and	CCONJ
fumecheng-7612	283	5	eq	eq	NOUN
fumecheng-7612	283	6	.	.	PUNCT
fumecheng-7612	284	1	(	(	PUNCT
fumecheng-7612	284	2	19	19	NUM
fumecheng-7612	284	3	)	)	PUNCT
fumecheng-7612	284	4	,	,	PUNCT
fumecheng-7612	284	5	the	the	DET
fumecheng-7612	284	6	response	response	NOUN
fumecheng-7612	284	7	of	of	ADP
fumecheng-7612	284	8	the	the	DET
fumecheng-7612	284	9	beam	beam	NOUN
fumecheng-7612	284	10	structure	structure	NOUN
fumecheng-7612	284	11	is	be	AUX
fumecheng-7612	284	12	,	,	PUNCT
fumecheng-7612	284	13	1	1	NUM
fumecheng-7612	284	14	(	(	PUNCT
fumecheng-7612	284	15	)	)	PUNCT
fumecheng-7612	284	16	0	0	NUM
fumecheng-7612	284	17	1	1	NUM
fumecheng-7612	284	18	(	(	PUNCT
fumecheng-7612	284	19	,	,	PUNCT
fumecheng-7612	284	20	)	)	PUNCT
fumecheng-7612	284	21	(	(	PUNCT
fumecheng-7612	284	22	)	)	PUNCT
fumecheng-7612	284	23	(	(	PUNCT
fumecheng-7612	284	24	)	)	PUNCT
fumecheng-7612	284	25	(	(	PUNCT
fumecheng-7612	284	26	)	)	PUNCT
fumecheng-7612	284	27	(	(	PUNCT
fumecheng-7612	284	28	)	)	PUNCT
fumecheng-7612	284	29	sin	sin	NOUN
fumecheng-7612	284	30	(	(	PUNCT
fumecheng-7612	284	31	(	(	PUNCT
fumecheng-7612	284	32	)	)	PUNCT
fumecheng-7612	284	33	)	)	PUNCT
fumecheng-7612	285	1	i	i	PRON
fumecheng-7612	285	2	i	i	PRON
fumecheng-7612	286	1	i	i	PRON
fumecheng-7612	286	2	i	i	PRON
fumecheng-7612	287	1	i	i	PRON
fumecheng-7612	288	1	i	i	PRON
fumecheng-7612	289	1	i	i	PRON
fumecheng-7612	289	2	t	t	NOUN
fumecheng-7612	290	1	ti	ti	NOUN
fumecheng-7612	291	1	i	i	NOUN
fumecheng-7612	292	1	d	d	NOUN
fumecheng-7612	292	2	i	i	NOUN
fumecheng-7612	293	1	d	d	X
fumecheng-7612	293	2	w	w	VERB
fumecheng-7612	293	3	x	x	X
fumecheng-7612	293	4	t	t	PROPN
fumecheng-7612	293	5	w	w	NOUN
fumecheng-7612	293	6	x	x	X
fumecheng-7612	293	7	q	q	PROPN
fumecheng-7612	293	8	t	t	PROPN
fumecheng-7612	293	9	w	w	NOUN
fumecheng-7612	293	10	x	x	X
fumecheng-7612	293	11	f	f	PROPN
fumecheng-7612	293	12	e	e	NOUN
fumecheng-7612	293	13	t	t	PROPN
fumecheng-7612	293	14	d	d	PROPN
fumecheng-7612	293	15			PROPN
fumecheng-7612	293	16			X
fumecheng-7612	293	17			NOUN
fumecheng-7612	293	18			X
fumecheng-7612	293	19			NOUN
fumecheng-7612	293	20			NOUN
fumecheng-7612	293	21			X
fumecheng-7612	293	22			X
fumecheng-7612	293	23	=	=	SYM
fumecheng-7612	293	24			NOUN
fumecheng-7612	293	25	−	−	NOUN
fumecheng-7612	293	26	−	−	NOUN
fumecheng-7612	293	27	=	=	SYM
fumecheng-7612	294	1	=	=	PUNCT
fumecheng-7612	294	2	=	=	PUNCT
fumecheng-7612	295	1			PROPN
fumecheng-7612	295	2			PROPN
fumecheng-7612	295	3	−	−	NOUN
fumecheng-7612	295	4			X
fumecheng-7612	295	5			X
fumecheng-7612	295	6			PUNCT
fumecheng-7612	295	7	.	.	PUNCT
fumecheng-7612	296	1	(	(	PUNCT
fumecheng-7612	296	2	20	20	NUM
fumecheng-7612	296	3	)	)	PUNCT
fumecheng-7612	296	4	2.2	2.2	NUM
fumecheng-7612	296	5	.	.	PUNCT
fumecheng-7612	297	1	iteration	iteration	NOUN
fumecheng-7612	297	2	process	process	NOUN
fumecheng-7612	297	3	considering	consider	VERB
fumecheng-7612	297	4	nonlinear	nonlinear	ADJ
fumecheng-7612	297	5	boundary	boundary	ADJ
fumecheng-7612	297	6	condition	condition	NOUN
fumecheng-7612	297	7	an	an	DET
fumecheng-7612	297	8	iteration	iteration	NOUN
fumecheng-7612	297	9	process	process	NOUN
fumecheng-7612	297	10	is	be	AUX
fumecheng-7612	297	11	proposed	propose	VERB
fumecheng-7612	297	12	in	in	ADP
fumecheng-7612	297	13	this	this	DET
fumecheng-7612	297	14	section	section	NOUN
fumecheng-7612	297	15	with	with	ADP
fumecheng-7612	297	16	multi	multi	ADJ
fumecheng-7612	297	17	-	-	ADJ
fumecheng-7612	297	18	linear	linear	ADJ
fumecheng-7612	297	19	assumption	assumption	NOUN
fumecheng-7612	297	20	for	for	ADP
fumecheng-7612	297	21	the	the	DET
fumecheng-7612	297	22	nonlinear	nonlinear	ADJ
fumecheng-7612	297	23	foundation	foundation	NOUN
fumecheng-7612	297	24	of	of	ADP
fumecheng-7612	297	25	non	non	ADJ
fumecheng-7612	297	26	-	-	ADJ
fumecheng-7612	297	27	uniform	uniform	ADJ
fumecheng-7612	297	28	beam	beam	NOUN
fumecheng-7612	297	29	.	.	PUNCT
fumecheng-7612	298	1	it	it	PRON
fumecheng-7612	298	2	is	be	AUX
fumecheng-7612	298	3	assumed	assume	VERB
fumecheng-7612	298	4	that	that	SCONJ
fumecheng-7612	298	5	the	the	DET
fumecheng-7612	298	6	elastic	elastic	ADJ
fumecheng-7612	298	7	foundation	foundation	NOUN
fumecheng-7612	298	8	in	in	ADP
fumecheng-7612	298	9	each	each	DET
fumecheng-7612	298	10	short	short	ADJ
fumecheng-7612	298	11	period	period	NOUN
fumecheng-7612	298	12	iteration	iteration	NOUN
fumecheng-7612	298	13	step	step	NOUN
fumecheng-7612	298	14	is	be	AUX
fumecheng-7612	298	15	linear	linear	ADJ
fumecheng-7612	298	16	with	with	ADP
fumecheng-7612	298	17	constant	constant	ADJ
fumecheng-7612	298	18	stiffness	stiffness	NOUN
fumecheng-7612	298	19	constant	constant	ADJ
fumecheng-7612	298	20	,	,	PUNCT
fumecheng-7612	298	21	while	while	SCONJ
fumecheng-7612	298	22	the	the	DET
fumecheng-7612	298	23	stiffness	stiffness	ADJ
fumecheng-7612	298	24	constant	constant	ADJ
fumecheng-7612	298	25	changes	change	NOUN
fumecheng-7612	298	26	between	between	ADP
fumecheng-7612	298	27	different	different	ADJ
fumecheng-7612	298	28	iteration	iteration	NOUN
fumecheng-7612	298	29	steps	step	NOUN
fumecheng-7612	298	30	.	.	PUNCT
fumecheng-7612	299	1	the	the	DET
fumecheng-7612	299	2	premise	premise	NOUN
fumecheng-7612	299	3	of	of	ADP
fumecheng-7612	299	4	iterative	iterative	NOUN
fumecheng-7612	299	5	method	method	NOUN
fumecheng-7612	299	6	is	be	AUX
fumecheng-7612	299	7	that	that	SCONJ
fumecheng-7612	299	8	at	at	ADP
fumecheng-7612	299	9	t=0	t=0	PROPN
fumecheng-7612	299	10	s	s	PROPN
fumecheng-7612	299	11	,	,	PUNCT
fumecheng-7612	299	12	the	the	DET
fumecheng-7612	299	13	initial	initial	ADJ
fumecheng-7612	299	14	condition	condition	NOUN
fumecheng-7612	299	15	of	of	ADP
fumecheng-7612	299	16	vibration	vibration	NOUN
fumecheng-7612	299	17	is	be	AUX
fumecheng-7612	299	18	known	know	VERB
fumecheng-7612	299	19	,	,	PUNCT
fumecheng-7612	299	20	and	and	CCONJ
fumecheng-7612	299	21	there	there	PRON
fumecheng-7612	299	22	is	be	VERB
fumecheng-7612	299	23	no	no	DET
fumecheng-7612	299	24	force	force	NOUN
fumecheng-7612	299	25	applied	apply	VERB
fumecheng-7612	299	26	to	to	ADP
fumecheng-7612	299	27	the	the	DET
fumecheng-7612	299	28	beam	beam	NOUN
fumecheng-7612	299	29	.	.	PUNCT
fumecheng-7612	300	1	at	at	ADP
fumecheng-7612	300	2	this	this	DET
fumecheng-7612	300	3	time	time	NOUN
fumecheng-7612	300	4	,	,	PUNCT
fumecheng-7612	300	5	the	the	DET
fumecheng-7612	300	6	beam	beam	NOUN
fumecheng-7612	300	7	is	be	AUX
fumecheng-7612	300	8	considered	consider	VERB
fumecheng-7612	300	9	to	to	PART
fumecheng-7612	300	10	be	be	AUX
fumecheng-7612	300	11	at	at	ADP
fumecheng-7612	300	12	rest	rest	NOUN
fumecheng-7612	300	13	,	,	PUNCT
fumecheng-7612	300	14	and	and	CCONJ
fumecheng-7612	300	15	the	the	DET
fumecheng-7612	300	16	deflection	deflection	NOUN
fumecheng-7612	300	17	and	and	CCONJ
fumecheng-7612	300	18	velocity	velocity	NOUN
fumecheng-7612	300	19	at	at	ADP
fumecheng-7612	300	20	any	any	DET
fumecheng-7612	300	21	position	position	NOUN
fumecheng-7612	300	22	of	of	ADP
fumecheng-7612	300	23	the	the	DET
fumecheng-7612	300	24	beam	beam	NOUN
fumecheng-7612	300	25	are	be	AUX
fumecheng-7612	300	26	,	,	PUNCT
fumecheng-7612	300	27	(	(	PUNCT
fumecheng-7612	300	28	,	,	PUNCT
fumecheng-7612	300	29	)	)	PUNCT
fumecheng-7612	301	1	=	=	SYM
fumecheng-7612	301	2	0	0	NUM
fumecheng-7612	301	3	(	(	PUNCT
fumecheng-7612	301	4	,	,	PUNCT
fumecheng-7612	301	5	)	)	PUNCT
fumecheng-7612	302	1	=	=	SYM
fumecheng-7612	302	2	0	0	NUM
fumecheng-7612	302	3	w	w	NOUN
fumecheng-7612	302	4	x	x	SYM
fumecheng-7612	302	5	t	t	PROPN
fumecheng-7612	302	6	dw	dw	X
fumecheng-7612	302	7	x	x	PROPN
fumecheng-7612	302	8	t	t	PROPN
fumecheng-7612	302	9	dt	dt	X
fumecheng-7612	302	10			ADP
fumecheng-7612	302	11			NUM
fumecheng-7612	302	12			NUM
fumecheng-7612	302	13			NUM
fumecheng-7612	302	14			PROPN
fumecheng-7612	302	15	.	.	PUNCT
fumecheng-7612	303	1	(	(	PUNCT
fumecheng-7612	303	2	21	21	NUM
fumecheng-7612	303	3	)	)	PUNCT
fumecheng-7612	303	4	the	the	DET
fumecheng-7612	303	5	step	step	NOUN
fumecheng-7612	303	6	length	length	NOUN
fumecheng-7612	303	7	of	of	ADP
fumecheng-7612	303	8	each	each	DET
fumecheng-7612	303	9	iteration	iteration	NOUN
fumecheng-7612	303	10	is	be	AUX
fumecheng-7612	303	11	δt	δt	ADP
fumecheng-7612	303	12	=	=	SYM
fumecheng-7612	303	13	tn+1	tn+1	X
fumecheng-7612	303	14	-	-	PUNCT
fumecheng-7612	303	15	tn	tn	NOUN
fumecheng-7612	303	16	,	,	PUNCT
fumecheng-7612	303	17	1≤n<∞	1≤n<∞	NUM
fumecheng-7612	303	18	,	,	PUNCT
fumecheng-7612	303	19	and	and	CCONJ
fumecheng-7612	303	20	n	n	PRON
fumecheng-7612	303	21	is	be	AUX
fumecheng-7612	303	22	the	the	DET
fumecheng-7612	303	23	number	number	NOUN
fumecheng-7612	303	24	of	of	ADP
fumecheng-7612	303	25	iteration	iteration	NOUN
fumecheng-7612	303	26	steps	step	NOUN
fumecheng-7612	303	27	.	.	PUNCT
fumecheng-7612	304	1	the	the	DET
fumecheng-7612	304	2	initial	initial	ADJ
fumecheng-7612	304	3	condition	condition	NOUN
fumecheng-7612	304	4	for	for	ADP
fumecheng-7612	304	5	time	time	NOUN
fumecheng-7612	304	6	t1	t1	NOUN
fumecheng-7612	304	7	(	(	PUNCT
fumecheng-7612	304	8	t1=0	t1=0	PROPN
fumecheng-7612	304	9	s	s	PART
fumecheng-7612	304	10	)	)	PUNCT
fumecheng-7612	304	11	is	be	AUX
fumecheng-7612	304	12	,	,	PUNCT
fumecheng-7612	304	13	1	1	NUM
fumecheng-7612	304	14	1	1	NUM
fumecheng-7612	304	15	=	=	SYM
fumecheng-7612	304	16	(	(	PUNCT
fumecheng-7612	304	17	,	,	PUNCT
fumecheng-7612	304	18	)	)	PUNCT
fumecheng-7612	305	1	=	=	SYM
fumecheng-7612	305	2	0	0	NUM
fumecheng-7612	305	3	(	(	PUNCT
fumecheng-7612	305	4	,	,	PUNCT
fumecheng-7612	305	5	)	)	PUNCT
fumecheng-7612	306	1	=	=	SYM
fumecheng-7612	306	2	0	0	NUM
fumecheng-7612	306	3	t	t	NOUN
fumecheng-7612	306	4	t	t	PROPN
fumecheng-7612	306	5	w	w	PROPN
fumecheng-7612	306	6	x	x	PROPN
fumecheng-7612	306	7	t	t	PROPN
fumecheng-7612	306	8	dw	dw	X
fumecheng-7612	306	9	x	x	PROPN
fumecheng-7612	306	10	t	t	PROPN
fumecheng-7612	306	11	dt	dt	X
fumecheng-7612	306	12			ADP
fumecheng-7612	306	13			NUM
fumecheng-7612	306	14			NUM
fumecheng-7612	306	15			NUM
fumecheng-7612	306	16			PROPN
fumecheng-7612	306	17	.	.	PUNCT
fumecheng-7612	307	1	(	(	PUNCT
fumecheng-7612	307	2	22	22	NUM
fumecheng-7612	307	3	)	)	PUNCT
fumecheng-7612	307	4	because	because	SCONJ
fumecheng-7612	307	5	some	some	DET
fumecheng-7612	307	6	variables	variable	NOUN
fumecheng-7612	307	7	,	,	PUNCT
fumecheng-7612	307	8	like	like	ADP
fumecheng-7612	307	9	time	time	NOUN
fumecheng-7612	307	10	,	,	PUNCT
fumecheng-7612	307	11	vibration	vibration	ADJ
fumecheng-7612	307	12	natural	natural	ADJ
fumecheng-7612	307	13	frequencies	frequency	NOUN
fumecheng-7612	307	14	,	,	PUNCT
fumecheng-7612	307	15	mode	mode	NOUN
fumecheng-7612	307	16	shape	shape	NOUN
fumecheng-7612	307	17	functions	function	NOUN
fumecheng-7612	307	18	,	,	PUNCT
fumecheng-7612	307	19	in	in	ADP
fumecheng-7612	307	20	each	each	DET
fumecheng-7612	307	21	iteration	iteration	NOUN
fumecheng-7612	307	22	step	step	NOUN
fumecheng-7612	307	23	are	be	AUX
fumecheng-7612	307	24	different	different	ADJ
fumecheng-7612	307	25	in	in	ADP
fumecheng-7612	307	26	the	the	DET
fumecheng-7612	307	27	process	process	NOUN
fumecheng-7612	307	28	of	of	ADP
fumecheng-7612	307	29	iteration	iteration	NOUN
fumecheng-7612	307	30	of	of	ADP
fumecheng-7612	307	31	the	the	DET
fumecheng-7612	307	32	nonlinear	nonlinear	ADJ
fumecheng-7612	307	33	system	system	NOUN
fumecheng-7612	307	34	,	,	PUNCT
fumecheng-7612	307	35	they	they	PRON
fumecheng-7612	307	36	are	be	AUX
fumecheng-7612	307	37	defined	define	VERB
fumecheng-7612	307	38	by	by	ADP
fumecheng-7612	307	39	iteration	iteration	NOUN
fumecheng-7612	307	40	step	step	NOUN
fumecheng-7612	307	41	subscripts	subscript	NOUN
fumecheng-7612	307	42	.	.	PUNCT
fumecheng-7612	308	1	the	the	DET
fumecheng-7612	308	2	subscript	subscript	NOUN
fumecheng-7612	308	3	1	1	NUM
fumecheng-7612	308	4	represents	represent	VERB
fumecheng-7612	308	5	these	these	DET
fumecheng-7612	308	6	variables	variable	NOUN
fumecheng-7612	308	7	in	in	ADP
fumecheng-7612	308	8	the	the	DET
fumecheng-7612	308	9	first	first	ADJ
fumecheng-7612	308	10	time	time	NOUN
fumecheng-7612	308	11	period	period	NOUN
fumecheng-7612	308	12	/	/	SYM
fumecheng-7612	308	13	iteration	iteration	NOUN
fumecheng-7612	308	14	step	step	NOUN
fumecheng-7612	308	15	in	in	ADP
fumecheng-7612	308	16	period	period	NOUN
fumecheng-7612	308	17	t1	t1	NOUN
fumecheng-7612	308	18	-	-	PUNCT
fumecheng-7612	308	19	t2	t2	NOUN
fumecheng-7612	308	20	.	.	PUNCT
fumecheng-7612	309	1	the	the	DET
fumecheng-7612	309	2	subscript	subscript	NOUN
fumecheng-7612	309	3	2	2	NUM
fumecheng-7612	309	4	represents	represent	VERB
fumecheng-7612	309	5	these	these	DET
fumecheng-7612	309	6	variables	variable	NOUN
fumecheng-7612	309	7	in	in	ADP
fumecheng-7612	309	8	the	the	DET
fumecheng-7612	309	9	second	second	ADJ
fumecheng-7612	309	10	time	time	NOUN
fumecheng-7612	309	11	period	period	NOUN
fumecheng-7612	309	12	/	/	SYM
fumecheng-7612	309	13	iteration	iteration	NOUN
fumecheng-7612	309	14	step	step	NOUN
fumecheng-7612	309	15	in	in	ADP
fumecheng-7612	309	16	period	period	NOUN
fumecheng-7612	309	17	t2	t2	PROPN
fumecheng-7612	309	18	-	-	PUNCT
fumecheng-7612	309	19	t3	t3	NOUN
fumecheng-7612	309	20	and	and	CCONJ
fumecheng-7612	309	21	so	so	ADV
fumecheng-7612	309	22	on	on	ADV
fumecheng-7612	309	23	.	.	PUNCT
fumecheng-7612	310	1	the	the	DET
fumecheng-7612	310	2	subscript	subscript	NOUN
fumecheng-7612	310	3	n	n	X
fumecheng-7612	310	4	represents	represent	VERB
fumecheng-7612	310	5	study	study	NOUN
fumecheng-7612	310	6	on	on	ADP
fumecheng-7612	310	7	vibration	vibration	NOUN
fumecheng-7612	310	8	response	response	NOUN
fumecheng-7612	310	9	of	of	ADP
fumecheng-7612	310	10	a	a	DET
fumecheng-7612	310	11	non	non	ADJ
fumecheng-7612	310	12	-	-	ADJ
fumecheng-7612	310	13	uniform	uniform	ADJ
fumecheng-7612	310	14	beam	beam	NOUN
fumecheng-7612	310	15	with	with	ADP
fumecheng-7612	310	16	nonlinear	nonlinear	ADJ
fumecheng-7612	310	17	boundary	boundary	ADJ
fumecheng-7612	310	18	condition	condition	NOUN
fumecheng-7612	310	19	789	789	NUM
fumecheng-7612	310	20	these	these	DET
fumecheng-7612	310	21	variables	variable	NOUN
fumecheng-7612	310	22	in	in	ADP
fumecheng-7612	310	23	the	the	DET
fumecheng-7612	310	24	n	n	ADV
fumecheng-7612	310	25	-	-	PUNCT
fumecheng-7612	310	26	th	th	NOUN
fumecheng-7612	310	27	time	time	NOUN
fumecheng-7612	310	28	period	period	NOUN
fumecheng-7612	310	29	/	/	SYM
fumecheng-7612	310	30	iteration	iteration	NOUN
fumecheng-7612	310	31	step	step	NOUN
fumecheng-7612	310	32	in	in	ADP
fumecheng-7612	310	33	period	period	NOUN
fumecheng-7612	310	34	tn	tn	NOUN
fumecheng-7612	310	35	-	-	PUNCT
fumecheng-7612	310	36	tn+1	tn+1	NOUN
fumecheng-7612	310	37	.	.	PUNCT
fumecheng-7612	311	1	detailed	detail	VERB
fumecheng-7612	311	2	specific	specific	ADJ
fumecheng-7612	311	3	presentation	presentation	NOUN
fumecheng-7612	311	4	method	method	NOUN
fumecheng-7612	311	5	of	of	ADP
fumecheng-7612	311	6	variables	variable	NOUN
fumecheng-7612	311	7	in	in	ADP
fumecheng-7612	311	8	the	the	DET
fumecheng-7612	311	9	iteration	iteration	NOUN
fumecheng-7612	311	10	section	section	NOUN
fumecheng-7612	311	11	is	be	AUX
fumecheng-7612	311	12	shown	show	VERB
fumecheng-7612	311	13	in	in	ADP
fumecheng-7612	311	14	table	table	NOUN
fumecheng-7612	311	15	1	1	NUM
fumecheng-7612	311	16	.	.	PUNCT
fumecheng-7612	312	1	i	i	PRON
fumecheng-7612	312	2	and	and	CCONJ
fumecheng-7612	312	3	j	j	PROPN
fumecheng-7612	312	4	in	in	ADP
fumecheng-7612	312	5	table	table	NOUN
fumecheng-7612	312	6	1	1	NUM
fumecheng-7612	312	7	represents	represent	VERB
fumecheng-7612	312	8	the	the	DET
fumecheng-7612	312	9	i	i	PROPN
fumecheng-7612	312	10	-	-	PUNCT
fumecheng-7612	312	11	th	th	X
fumecheng-7612	312	12	and	and	CCONJ
fumecheng-7612	312	13	j	j	PROPN
fumecheng-7612	312	14	-	-	PUNCT
fumecheng-7612	312	15	th	th	VERB
fumecheng-7612	312	16	vibration	vibration	NOUN
fumecheng-7612	312	17	modes	mode	NOUN
fumecheng-7612	312	18	,	,	PUNCT
fumecheng-7612	312	19	respectively	respectively	ADV
fumecheng-7612	312	20	.	.	PUNCT
fumecheng-7612	313	1	table	table	NOUN
fumecheng-7612	313	2	1	1	NUM
fumecheng-7612	313	3	representation	representation	NOUN
fumecheng-7612	313	4	of	of	ADP
fumecheng-7612	313	5	variables	variable	NOUN
fumecheng-7612	313	6	in	in	ADP
fumecheng-7612	313	7	the	the	DET
fumecheng-7612	313	8	iterative	iterative	NOUN
fumecheng-7612	313	9	process	process	NOUN
fumecheng-7612	313	10	time	time	NOUN
fumecheng-7612	313	11	period	period	NOUN
fumecheng-7612	313	12	variable	variable	NOUN
fumecheng-7612	313	13	(	(	PUNCT
fumecheng-7612	313	14	1≤i<∞	1≤i<∞	NUM
fumecheng-7612	313	15	,	,	PUNCT
fumecheng-7612	313	16	1≤j<∞	1≤j<∞	NUM
fumecheng-7612	313	17	)	)	PUNCT
fumecheng-7612	313	18	t1≤t≤t2	t1≤t≤t2	ADP
fumecheng-7612	313	19	1	1	NUM
fumecheng-7612	313	20	(	(	PUNCT
fumecheng-7612	313	21	,	,	PUNCT
fumecheng-7612	313	22	)	)	PUNCT
fumecheng-7612	313	23	w	w	NOUN
fumecheng-7612	313	24	x	x	SYM
fumecheng-7612	313	25	t	t	PROPN
fumecheng-7612	313	26	total	total	ADJ
fumecheng-7612	313	27	vibration	vibration	NOUN
fumecheng-7612	313	28	response	response	NOUN
fumecheng-7612	313	29	1	1	NUM
fumecheng-7612	313	30	(	(	PUNCT
fumecheng-7612	313	31	)	)	PUNCT
fumecheng-7612	314	1	i	i	PRON
fumecheng-7612	314	2	w	w	VERB
fumecheng-7612	314	3	x	x	VERB
fumecheng-7612	314	4	i	i	PROPN
fumecheng-7612	314	5	-	-	PUNCT
fumecheng-7612	314	6	th	th	X
fumecheng-7612	314	7	mode	mode	NOUN
fumecheng-7612	314	8	shape	shape	NOUN
fumecheng-7612	314	9	function	function	NOUN
fumecheng-7612	314	10	1	1	NUM
fumecheng-7612	314	11	(	(	PUNCT
fumecheng-7612	314	12	)	)	PUNCT
fumecheng-7612	315	1	i	i	PRON
fumecheng-7612	315	2	q	q	PROPN
fumecheng-7612	315	3	t	t	PROPN
fumecheng-7612	315	4	,	,	PUNCT
fumecheng-7612	315	5	2	2	NUM
fumecheng-7612	315	6	1	1	NUM
fumecheng-7612	315	7	(	(	PUNCT
fumecheng-7612	315	8	)	)	PUNCT
fumecheng-7612	316	1	i	i	PRON
fumecheng-7612	316	2	t	t	X
fumecheng-7612	316	3	t	t	X
fumecheng-7612	317	1	dq	dq	PROPN
fumecheng-7612	317	2	t	t	PROPN
fumecheng-7612	317	3	dt	dt	NOUN
fumecheng-7612	318	1	=	=	SYM
fumecheng-7612	318	2	i	i	PROPN
fumecheng-7612	318	3	-	-	PUNCT
fumecheng-7612	318	4	th	th	X
fumecheng-7612	318	5	corresponding	corresponding	ADJ
fumecheng-7612	318	6	generalized	generalize	VERB
fumecheng-7612	318	7	coordinate	coordinate	NOUN
fumecheng-7612	318	8	of	of	ADP
fumecheng-7612	318	9	the	the	DET
fumecheng-7612	318	10	external	external	ADJ
fumecheng-7612	318	11	force	force	NOUN
fumecheng-7612	318	12	and	and	CCONJ
fumecheng-7612	318	13	its	its	PRON
fumecheng-7612	318	14	derivatives	derivative	NOUN
fumecheng-7612	318	15	1i	1i	NOUN
fumecheng-7612	318	16			X
fumecheng-7612	318	17	,	,	PUNCT
fumecheng-7612	318	18	1i	1i	NUM
fumecheng-7612	318	19	d	d	NOUN
fumecheng-7612	318	20	i	i	NOUN
fumecheng-7612	318	21	-	-	PUNCT
fumecheng-7612	318	22	th	th	X
fumecheng-7612	318	23	natural	natural	ADJ
fumecheng-7612	318	24	frequency	frequency	NOUN
fumecheng-7612	318	25	and	and	CCONJ
fumecheng-7612	318	26	damping	damp	VERB
fumecheng-7612	318	27	frequency	frequency	NOUN
fumecheng-7612	318	28	1	1	NUM
fumecheng-7612	318	29	1	1	NUM
fumecheng-7612	318	30	(	(	PUNCT
fumecheng-7612	318	31	)	)	PUNCT
fumecheng-7612	319	1	i	i	PRON
fumecheng-7612	319	2	f	f	PROPN
fumecheng-7612	320	1	t	t	NOUN
fumecheng-7612	320	2	+	+	CCONJ
fumecheng-7612	320	3	force	force	NOUN
fumecheng-7612	320	4	coefficient	coefficient	NOUN
fumecheng-7612	320	5	corresponding	correspond	VERB
fumecheng-7612	320	6	to	to	ADP
fumecheng-7612	320	7	the	the	DET
fumecheng-7612	320	8	i	i	PROPN
fumecheng-7612	320	9	-	-	PUNCT
fumecheng-7612	320	10	th	th	VERB
fumecheng-7612	320	11	vibration	vibration	NOUN
fumecheng-7612	320	12	mode	mode	NOUN
fumecheng-7612	320	13	tn≤t≤tn+1	tn≤t≤tn+1	PUNCT
fumecheng-7612	320	14	(	(	PUNCT
fumecheng-7612	320	15	,	,	PUNCT
fumecheng-7612	320	16	)	)	PUNCT
fumecheng-7612	320	17	nw	nw	PROPN
fumecheng-7612	320	18	x	x	PROPN
fumecheng-7612	320	19	t	t	PROPN
fumecheng-7612	320	20	total	total	ADJ
fumecheng-7612	320	21	vibration	vibration	NOUN
fumecheng-7612	320	22	response	response	NOUN
fumecheng-7612	320	23	(	(	PUNCT
fumecheng-7612	320	24	)	)	PUNCT
fumecheng-7612	320	25	inw	inw	PROPN
fumecheng-7612	320	26	x	x	SYM
fumecheng-7612	320	27	,	,	PUNCT
fumecheng-7612	320	28	(	(	PUNCT
fumecheng-7612	320	29	)	)	PUNCT
fumecheng-7612	320	30	jnw	jnw	VERB
fumecheng-7612	320	31	x	x	PUNCT
fumecheng-7612	320	32	i	i	PROPN
fumecheng-7612	320	33	-	-	PUNCT
fumecheng-7612	320	34	th	th	X
fumecheng-7612	320	35	and	and	CCONJ
fumecheng-7612	320	36	j	j	PROPN
fumecheng-7612	320	37	-	-	PUNCT
fumecheng-7612	320	38	th	th	VERB
fumecheng-7612	320	39	mode	mode	NOUN
fumecheng-7612	320	40	shape	shape	NOUN
fumecheng-7612	320	41	functions	function	NOUN
fumecheng-7612	320	42	(	(	PUNCT
fumecheng-7612	320	43	,	,	PUNCT
fumecheng-7612	320	44	)	)	PUNCT
fumecheng-7612	320	45	nfreew	nfreew	PROPN
fumecheng-7612	320	46	x	x	SYM
fumecheng-7612	320	47	t	t	X
fumecheng-7612	320	48	free	free	ADJ
fumecheng-7612	320	49	vibration	vibration	NOUN
fumecheng-7612	320	50	response	response	NOUN
fumecheng-7612	320	51	in	in	PROPN
fumecheng-7612	320	52	,	,	PUNCT
fumecheng-7612	320	53	ni	ni	PROPN
fumecheng-7612	320	54	d	d	PROPN
fumecheng-7612	320	55	i	i	PROPN
fumecheng-7612	320	56	-	-	PUNCT
fumecheng-7612	320	57	th	th	X
fumecheng-7612	320	58	natural	natural	ADJ
fumecheng-7612	320	59	frequency	frequency	NOUN
fumecheng-7612	320	60	and	and	CCONJ
fumecheng-7612	320	61	damping	damp	VERB
fumecheng-7612	320	62	frequency	frequency	NOUN
fumecheng-7612	320	63	ina	ina	PROPN
fumecheng-7612	320	64	,	,	PUNCT
fumecheng-7612	320	65	inb	inb	PROPN
fumecheng-7612	320	66	coefficients	coefficient	NOUN
fumecheng-7612	320	67	in	in	ADP
fumecheng-7612	320	68	the	the	DET
fumecheng-7612	320	69	i	i	PROPN
fumecheng-7612	320	70	-	-	PUNCT
fumecheng-7612	320	71	th	th	X
fumecheng-7612	320	72	corresponding	corresponding	ADJ
fumecheng-7612	320	73	generalized	generalize	VERB
fumecheng-7612	320	74	coordinate	coordinate	NOUN
fumecheng-7612	320	75	of	of	ADP
fumecheng-7612	320	76	free	free	ADJ
fumecheng-7612	320	77	vibration	vibration	NOUN
fumecheng-7612	320	78	(	(	PUNCT
fumecheng-7612	320	79	)	)	PUNCT
fumecheng-7612	320	80	in	in	ADP
fumecheng-7612	320	81	nf	nf	ADJ
fumecheng-7612	320	82	t	t	NOUN
fumecheng-7612	320	83	+	+	CCONJ
fumecheng-7612	320	84	force	force	NOUN
fumecheng-7612	320	85	coefficient	coefficient	NOUN
fumecheng-7612	320	86	corresponding	correspond	VERB
fumecheng-7612	320	87	to	to	ADP
fumecheng-7612	320	88	the	the	DET
fumecheng-7612	320	89	i	i	PROPN
fumecheng-7612	320	90	-	-	PUNCT
fumecheng-7612	320	91	th	th	PROPN
fumecheng-7612	320	92	vibration	vibration	NOUN
fumecheng-7612	320	93	mode	mode	NOUN
fumecheng-7612	320	94	(	(	PUNCT
fumecheng-7612	320	95	)	)	PUNCT
fumecheng-7612	320	96	ni	ni	PROPN
fumecheng-7612	320	97	free	free	ADJ
fumecheng-7612	320	98	nq	nq	PROPN
fumecheng-7612	320	99	t	t	PROPN
fumecheng-7612	320	100	,	,	PUNCT
fumecheng-7612	320	101	(	(	PUNCT
fumecheng-7612	320	102	)	)	PUNCT
fumecheng-7612	320	103	ni	ni	PROPN
fumecheng-7612	320	104	n	n	PROPN
fumecheng-7612	320	105	free	free	PROPN
fumecheng-7612	320	106	t	t	PROPN
fumecheng-7612	320	107	t	t	PROPN
fumecheng-7612	320	108	dq	dq	PROPN
fumecheng-7612	320	109	t	t	PROPN
fumecheng-7612	320	110	dt	dt	NOUN
fumecheng-7612	321	1	=	=	SYM
fumecheng-7612	321	2	i	i	PROPN
fumecheng-7612	321	3	-	-	PUNCT
fumecheng-7612	321	4	th	th	X
fumecheng-7612	321	5	corresponding	corresponding	ADJ
fumecheng-7612	321	6	generalized	generalize	VERB
fumecheng-7612	321	7	coordinate	coordinate	NOUN
fumecheng-7612	321	8	of	of	ADP
fumecheng-7612	321	9	free	free	ADJ
fumecheng-7612	321	10	vibration	vibration	NOUN
fumecheng-7612	321	11	and	and	CCONJ
fumecheng-7612	321	12	its	its	PRON
fumecheng-7612	321	13	derivatives	derivative	NOUN
fumecheng-7612	321	14	at	at	ADP
fumecheng-7612	321	15	time	time	NOUN
fumecheng-7612	321	16	tn	tn	PROPN
fumecheng-7612	321	17	1	1	NUM
fumecheng-7612	321	18	(	(	PUNCT
fumecheng-7612	321	19	)	)	PUNCT
fumecheng-7612	321	20	in	in	ADP
fumecheng-7612	321	21	nq	nq	PROPN
fumecheng-7612	321	22	t	t	PROPN
fumecheng-7612	322	1	+	+	CCONJ
fumecheng-7612	322	2	,	,	PUNCT
fumecheng-7612	322	3	1	1	NUM
fumecheng-7612	322	4	(	(	PUNCT
fumecheng-7612	322	5	)	)	PUNCT
fumecheng-7612	323	1	i	i	PRON
fumecheng-7612	323	2	n	n	VERB
fumecheng-7612	323	3	n	n	PROPN
fumecheng-7612	323	4	t	t	NOUN
fumecheng-7612	323	5	t	t	X
fumecheng-7612	323	6	dq	dq	PROPN
fumecheng-7612	323	7	t	t	PROPN
fumecheng-7612	323	8	dt	dt	X
fumecheng-7612	324	1	+	+	PROPN
fumecheng-7612	324	2	=	=	PROPN
fumecheng-7612	324	3	i	i	PROPN
fumecheng-7612	324	4	-	-	PUNCT
fumecheng-7612	324	5	th	th	X
fumecheng-7612	324	6	corresponding	corresponding	ADJ
fumecheng-7612	324	7	generalized	generalize	VERB
fumecheng-7612	324	8	coordinate	coordinate	NOUN
fumecheng-7612	324	9	of	of	ADP
fumecheng-7612	324	10	the	the	DET
fumecheng-7612	324	11	external	external	ADJ
fumecheng-7612	324	12	force	force	NOUN
fumecheng-7612	324	13	and	and	CCONJ
fumecheng-7612	324	14	its	its	PRON
fumecheng-7612	324	15	derivatives	derivative	NOUN
fumecheng-7612	324	16	at	at	ADP
fumecheng-7612	324	17	time	time	NOUN
fumecheng-7612	324	18	tn+1	tn+1	PROPN
fumecheng-7612	324	19	(	(	PUNCT
fumecheng-7612	324	20	)	)	PUNCT
fumecheng-7612	324	21	ni	ni	PROPN
fumecheng-7612	324	22	freeq	freeq	PROPN
fumecheng-7612	324	23	t	t	PROPN
fumecheng-7612	324	24	,	,	PUNCT
fumecheng-7612	324	25	(	(	PUNCT
fumecheng-7612	324	26	)	)	PUNCT
fumecheng-7612	324	27	ni	ni	PROPN
fumecheng-7612	324	28	forceq	forceq	PROPN
fumecheng-7612	324	29	t	t	PROPN
fumecheng-7612	324	30	i	i	PROPN
fumecheng-7612	324	31	-	-	PUNCT
fumecheng-7612	324	32	th	th	X
fumecheng-7612	324	33	corresponding	corresponding	ADJ
fumecheng-7612	324	34	generalized	generalize	VERB
fumecheng-7612	324	35	coordinate	coordinate	NOUN
fumecheng-7612	324	36	of	of	ADP
fumecheng-7612	324	37	free	free	ADJ
fumecheng-7612	324	38	vibration	vibration	NOUN
fumecheng-7612	324	39	and	and	CCONJ
fumecheng-7612	324	40	external	external	ADJ
fumecheng-7612	324	41	force	force	NOUN
fumecheng-7612	324	42	during	during	ADP
fumecheng-7612	324	43	tn	tn	NOUN
fumecheng-7612	324	44	-	-	PUNCT
fumecheng-7612	324	45	tn+1	tn+1	NOUN
fumecheng-7612	324	46	when	when	SCONJ
fumecheng-7612	324	47	the	the	DET
fumecheng-7612	324	48	time	time	NOUN
fumecheng-7612	324	49	is	be	AUX
fumecheng-7612	324	50	in	in	ADP
fumecheng-7612	324	51	t1	t1	NOUN
fumecheng-7612	324	52	-	-	PUNCT
fumecheng-7612	324	53	t2	t2	NOUN
fumecheng-7612	324	54	,	,	PUNCT
fumecheng-7612	324	55	there	there	PRON
fumecheng-7612	324	56	is	be	VERB
fumecheng-7612	324	57	no	no	DET
fumecheng-7612	324	58	free	free	ADJ
fumecheng-7612	324	59	vibration	vibration	NOUN
fumecheng-7612	324	60	and	and	CCONJ
fumecheng-7612	324	61	the	the	DET
fumecheng-7612	324	62	response	response	NOUN
fumecheng-7612	324	63	of	of	ADP
fumecheng-7612	324	64	the	the	DET
fumecheng-7612	324	65	forced	force	VERB
fumecheng-7612	324	66	vibration	vibration	NOUN
fumecheng-7612	324	67	is	be	AUX
fumecheng-7612	324	68	,	,	PUNCT
fumecheng-7612	324	69	1	1	NUM
fumecheng-7612	324	70	1	1	NUM
fumecheng-7612	324	71	1	1	NUM
fumecheng-7612	324	72	1	1	NUM
fumecheng-7612	324	73	1	1	NUM
fumecheng-7612	324	74	1	1	NUM
fumecheng-7612	324	75	1	1	NUM
fumecheng-7612	324	76	1	1	NUM
fumecheng-7612	324	77	1	1	NUM
fumecheng-7612	324	78	1	1	NUM
fumecheng-7612	324	79	1	1	NUM
fumecheng-7612	324	80	(	(	PUNCT
fumecheng-7612	324	81	)	)	PUNCT
fumecheng-7612	324	82	1	1	NUM
fumecheng-7612	324	83	1	1	NUM
fumecheng-7612	324	84	10	10	NUM
fumecheng-7612	324	85	1	1	NUM
fumecheng-7612	324	86	(	(	PUNCT
fumecheng-7612	324	87	,	,	PUNCT
fumecheng-7612	324	88	)	)	PUNCT
fumecheng-7612	324	89	(	(	PUNCT
fumecheng-7612	324	90	)	)	PUNCT
fumecheng-7612	324	91	(	(	PUNCT
fumecheng-7612	324	92	)	)	PUNCT
fumecheng-7612	324	93	(	(	PUNCT
fumecheng-7612	324	94	)	)	PUNCT
fumecheng-7612	324	95	(	(	PUNCT
fumecheng-7612	324	96	)	)	PUNCT
fumecheng-7612	324	97	sin	sin	NOUN
fumecheng-7612	324	98	(	(	PUNCT
fumecheng-7612	324	99	(	(	PUNCT
fumecheng-7612	324	100	)	)	PUNCT
fumecheng-7612	324	101	)	)	PUNCT
fumecheng-7612	325	1	i	i	PRON
fumecheng-7612	325	2	i	i	PRON
fumecheng-7612	326	1	i	i	PRON
fumecheng-7612	326	2	i	i	PRON
fumecheng-7612	327	1	i	i	PRON
fumecheng-7612	327	2	i	i	PRON
fumecheng-7612	328	1	i	i	PRON
fumecheng-7612	328	2	i	i	PRON
fumecheng-7612	329	1	i	i	PRON
fumecheng-7612	329	2	i	i	INTJ
fumecheng-7612	330	1	d	d	NOUN
fumecheng-7612	330	2	t	t	PROPN
fumecheng-7612	330	3	t	t	PROPN
fumecheng-7612	330	4	t	t	PROPN
fumecheng-7612	330	5	t	t	PROPN
fumecheng-7612	330	6	d	d	X
fumecheng-7612	330	7	w	w	PROPN
fumecheng-7612	330	8	x	x	X
fumecheng-7612	331	1	t	t	PROPN
fumecheng-7612	331	2	w	w	NOUN
fumecheng-7612	331	3	x	x	X
fumecheng-7612	331	4	q	q	PROPN
fumecheng-7612	331	5	t	t	PROPN
fumecheng-7612	331	6	w	w	PROPN
fumecheng-7612	331	7	x	x	X
fumecheng-7612	331	8	f	f	PROPN
fumecheng-7612	331	9	t	t	X
fumecheng-7612	331	10	e	e	PROPN
fumecheng-7612	331	11	t	t	PROPN
fumecheng-7612	331	12	t	t	PROPN
fumecheng-7612	332	1	d	d	PROPN
fumecheng-7612	332	2			PROPN
fumecheng-7612	332	3			X
fumecheng-7612	332	4			NOUN
fumecheng-7612	332	5			X
fumecheng-7612	332	6			NOUN
fumecheng-7612	332	7			X
fumecheng-7612	332	8			NOUN
fumecheng-7612	332	9			NOUN
fumecheng-7612	332	10			VERB
fumecheng-7612	332	11			VERB
fumecheng-7612	332	12	=	=	PUNCT
fumecheng-7612	332	13	=	=	PUNCT
fumecheng-7612	332	14	−	−	NOUN
fumecheng-7612	332	15	−	−	NOUN
fumecheng-7612	332	16	−	−	PROPN
fumecheng-7612	333	1	=	=	SYM
fumecheng-7612	334	1	=	=	PUNCT
fumecheng-7612	335	1	+	+	CCONJ
fumecheng-7612	336	1			ADJ
fumecheng-7612	336	2			ADJ
fumecheng-7612	336	3			PROPN
fumecheng-7612	336	4	−	−	PROPN
fumecheng-7612	336	5	−	−	PROPN
fumecheng-7612	336	6			X
fumecheng-7612	336	7			X
fumecheng-7612	336	8			PUNCT
fumecheng-7612	337	1	(	(	PUNCT
fumecheng-7612	337	2	1	1	NUM
fumecheng-7612	337	3	2	2	NUM
fumecheng-7612	337	4	t	t	NOUN
fumecheng-7612	337	5	t	t	PROPN
fumecheng-7612	337	6	t	t	NOUN
fumecheng-7612	337	7			PROPN
fumecheng-7612	337	8	)	)	PUNCT
fumecheng-7612	337	9	.	.	PUNCT
fumecheng-7612	338	1	(	(	PUNCT
fumecheng-7612	338	2	23	23	NUM
fumecheng-7612	338	3	)	)	PUNCT
fumecheng-7612	338	4	to	to	PART
fumecheng-7612	338	5	simulate	simulate	VERB
fumecheng-7612	338	6	the	the	DET
fumecheng-7612	338	7	nonlinearity	nonlinearity	NOUN
fumecheng-7612	338	8	of	of	ADP
fumecheng-7612	338	9	spring	spring	NOUN
fumecheng-7612	338	10	stiffness	stiffness	NOUN
fumecheng-7612	338	11	,	,	PUNCT
fumecheng-7612	338	12	kl	kl	X
fumecheng-7612	338	13	is	be	AUX
fumecheng-7612	338	14	divided	divide	VERB
fumecheng-7612	338	15	into	into	ADP
fumecheng-7612	338	16	n	n	PART
fumecheng-7612	338	17	sections	section	NOUN
fumecheng-7612	338	18	by	by	ADP
fumecheng-7612	338	19	different	different	ADJ
fumecheng-7612	338	20	deflection	deflection	NOUN
fumecheng-7612	338	21	intervals	interval	NOUN
fumecheng-7612	338	22	at	at	ADP
fumecheng-7612	338	23	the	the	DET
fumecheng-7612	338	24	spring	spring	NOUN
fumecheng-7612	338	25	boundary	boundary	ADJ
fumecheng-7612	338	26	location	location	NOUN
fumecheng-7612	338	27	.	.	PUNCT
fumecheng-7612	339	1	it	it	PRON
fumecheng-7612	339	2	is	be	AUX
fumecheng-7612	339	3	considered	consider	VERB
fumecheng-7612	339	4	that	that	SCONJ
fumecheng-7612	339	5	the	the	DET
fumecheng-7612	339	6	value	value	NOUN
fumecheng-7612	339	7	of	of	ADP
fumecheng-7612	339	8	kl	kl	PROPN
fumecheng-7612	339	9	corresponding	correspond	VERB
fumecheng-7612	339	10	to	to	ADP
fumecheng-7612	339	11	each	each	DET
fumecheng-7612	339	12	deflection	deflection	NOUN
fumecheng-7612	339	13	interval	interval	NOUN
fumecheng-7612	339	14	is	be	AUX
fumecheng-7612	339	15	the	the	DET
fumecheng-7612	339	16	same	same	ADJ
fumecheng-7612	339	17	,	,	PUNCT
fumecheng-7612	339	18	and	and	CCONJ
fumecheng-7612	339	19	kl	kl	PROPN
fumecheng-7612	339	20	,	,	PUNCT
fumecheng-7612	339	21	the	the	DET
fumecheng-7612	339	22	mode	mode	NOUN
fumecheng-7612	339	23	shape	shape	NOUN
fumecheng-7612	339	24	functions	function	NOUN
fumecheng-7612	339	25	and	and	CCONJ
fumecheng-7612	339	26	790	790	NUM
fumecheng-7612	339	27	p.	p.	NOUN
fumecheng-7612	339	28	wang	wang	PROPN
fumecheng-7612	339	29	,	,	PUNCT
fumecheng-7612	339	30	n.	n.	PROPN
fumecheng-7612	339	31	wu	wu	PROPN
fumecheng-7612	339	32	,	,	PUNCT
fumecheng-7612	339	33	h.	h.	PROPN
fumecheng-7612	339	34	luo	luo	PROPN
fumecheng-7612	339	35	,	,	PUNCT
fumecheng-7612	339	36	z.	z.	PROPN
fumecheng-7612	339	37	sun	sun	PROPN
fumecheng-7612	339	38	natural	natural	ADJ
fumecheng-7612	339	39	frequencies	frequency	NOUN
fumecheng-7612	339	40	in	in	ADP
fumecheng-7612	339	41	different	different	ADJ
fumecheng-7612	339	42	deflection	deflection	NOUN
fumecheng-7612	339	43	intervals	interval	NOUN
fumecheng-7612	339	44	are	be	AUX
fumecheng-7612	339	45	different	different	ADJ
fumecheng-7612	339	46	.	.	PUNCT
fumecheng-7612	340	1	by	by	ADP
fumecheng-7612	340	2	bringing	bring	VERB
fumecheng-7612	340	3	each	each	DET
fumecheng-7612	340	4	kl	kl	NOUN
fumecheng-7612	340	5	into	into	ADP
fumecheng-7612	340	6	the	the	DET
fumecheng-7612	340	7	boundary	boundary	ADJ
fumecheng-7612	340	8	condition	condition	NOUN
fumecheng-7612	340	9	,	,	PUNCT
fumecheng-7612	340	10	following	follow	VERB
fumecheng-7612	340	11	the	the	DET
fumecheng-7612	340	12	progress	progress	NOUN
fumecheng-7612	340	13	described	describe	VERB
fumecheng-7612	340	14	in	in	ADP
fumecheng-7612	340	15	section	section	NOUN
fumecheng-7612	340	16	2.1	2.1	NUM
fumecheng-7612	340	17	,	,	PUNCT
fumecheng-7612	340	18	mode	mode	NOUN
fumecheng-7612	340	19	shape	shape	NOUN
fumecheng-7612	340	20	functions	function	NOUN
fumecheng-7612	340	21	and	and	CCONJ
fumecheng-7612	340	22	natural	natural	ADJ
fumecheng-7612	340	23	frequencies	frequency	NOUN
fumecheng-7612	340	24	can	can	AUX
fumecheng-7612	340	25	be	be	AUX
fumecheng-7612	340	26	obtained	obtain	VERB
fumecheng-7612	340	27	for	for	ADP
fumecheng-7612	340	28	the	the	DET
fumecheng-7612	340	29	n	n	ADV
fumecheng-7612	340	30	-	-	PUNCT
fumecheng-7612	340	31	th	th	NOUN
fumecheng-7612	340	32	time	time	NOUN
fumecheng-7612	340	33	step	step	NOUN
fumecheng-7612	340	34	(	(	PUNCT
fumecheng-7612	340	35	tn	tn	NOUN
fumecheng-7612	340	36	-	-	PUNCT
fumecheng-7612	340	37	tn+1	tn+1	NOUN
fumecheng-7612	340	38	)	)	PUNCT
fumecheng-7612	340	39	during	during	ADP
fumecheng-7612	340	40	iteration	iteration	NOUN
fumecheng-7612	340	41	.	.	PUNCT
fumecheng-7612	341	1	the	the	DET
fumecheng-7612	341	2	value	value	NOUN
fumecheng-7612	341	3	of	of	ADP
fumecheng-7612	341	4	kl	kl	PROPN
fumecheng-7612	341	5	in	in	ADP
fumecheng-7612	341	6	the	the	DET
fumecheng-7612	341	7	boundary	boundary	ADJ
fumecheng-7612	341	8	condition	condition	NOUN
fumecheng-7612	341	9	of	of	ADP
fumecheng-7612	341	10	solving	solve	VERB
fumecheng-7612	341	11	wni(x	wni(x	NOUN
fumecheng-7612	341	12	)	)	PUNCT
fumecheng-7612	341	13	at	at	ADP
fumecheng-7612	341	14	time	time	NOUN
fumecheng-7612	341	15	tn	tn	NOUN
fumecheng-7612	341	16	-	-	PUNCT
fumecheng-7612	341	17	tn+1	tn+1	NOUN
fumecheng-7612	341	18	is	be	AUX
fumecheng-7612	341	19	the	the	DET
fumecheng-7612	341	20	value	value	NOUN
fumecheng-7612	341	21	of	of	ADP
fumecheng-7612	341	22	kl	kl	PROPN
fumecheng-7612	341	23	corresponding	correspond	VERB
fumecheng-7612	341	24	to	to	ADP
fumecheng-7612	341	25	the	the	DET
fumecheng-7612	341	26	deflection	deflection	NOUN
fumecheng-7612	341	27	at	at	ADP
fumecheng-7612	341	28	the	the	DET
fumecheng-7612	341	29	spring	spring	NOUN
fumecheng-7612	341	30	boundary	boundary	NOUN
fumecheng-7612	341	31	location	location	NOUN
fumecheng-7612	341	32	,	,	PUNCT
fumecheng-7612	341	33	wn(x	wn(x	X
fumecheng-7612	341	34	,	,	PUNCT
fumecheng-7612	341	35	t	t	PROPN
fumecheng-7612	341	36	)	)	PUNCT
fumecheng-7612	341	37	,	,	PUNCT
fumecheng-7612	341	38	x=0	x=0	PROPN
fumecheng-7612	341	39	for	for	ADP
fumecheng-7612	341	40	the	the	DET
fumecheng-7612	341	41	sample	sample	NOUN
fumecheng-7612	341	42	structure	structure	NOUN
fumecheng-7612	341	43	shown	show	VERB
fumecheng-7612	341	44	in	in	ADP
fumecheng-7612	341	45	fig	fig	NOUN
fumecheng-7612	341	46	.	.	PUNCT
fumecheng-7612	342	1	1	1	NUM
fumecheng-7612	342	2	,	,	PUNCT
fumecheng-7612	342	3	at	at	ADP
fumecheng-7612	342	4	time	time	NOUN
fumecheng-7612	342	5	tn	tn	PROPN
fumecheng-7612	342	6	.	.	PUNCT
fumecheng-7612	343	1	to	to	PART
fumecheng-7612	343	2	clarify	clarify	VERB
fumecheng-7612	343	3	the	the	DET
fumecheng-7612	343	4	iteration	iteration	NOUN
fumecheng-7612	343	5	progress	progress	NOUN
fumecheng-7612	343	6	,	,	PUNCT
fumecheng-7612	343	7	we	we	PRON
fumecheng-7612	343	8	start	start	VERB
fumecheng-7612	343	9	the	the	DET
fumecheng-7612	343	10	derivation	derivation	NOUN
fumecheng-7612	343	11	from	from	ADP
fumecheng-7612	343	12	the	the	DET
fumecheng-7612	343	13	second	second	ADJ
fumecheng-7612	343	14	time	time	NOUN
fumecheng-7612	343	15	step	step	NOUN
fumecheng-7612	343	16	,	,	PUNCT
fumecheng-7612	343	17	t2	t2	NOUN
fumecheng-7612	343	18	-	-	PUNCT
fumecheng-7612	343	19	t3	t3	NOUN
fumecheng-7612	343	20	,	,	PUNCT
fumecheng-7612	343	21	while	while	SCONJ
fumecheng-7612	343	22	the	the	DET
fumecheng-7612	343	23	first	first	ADJ
fumecheng-7612	343	24	step	step	NOUN
fumecheng-7612	343	25	vibration	vibration	NOUN
fumecheng-7612	343	26	solutions	solution	NOUN
fumecheng-7612	343	27	is	be	AUX
fumecheng-7612	343	28	only	only	ADV
fumecheng-7612	343	29	from	from	ADP
fumecheng-7612	343	30	the	the	DET
fumecheng-7612	343	31	duhamel	duhamel	PROPN
fumecheng-7612	343	32	integral	integral	NOUN
fumecheng-7612	343	33	assuming	assume	VERB
fumecheng-7612	343	34	the	the	DET
fumecheng-7612	343	35	structure	structure	NOUN
fumecheng-7612	343	36	is	be	AUX
fumecheng-7612	343	37	at	at	ADP
fumecheng-7612	343	38	rest	rest	NOUN
fumecheng-7612	343	39	before	before	ADP
fumecheng-7612	343	40	excitation	excitation	NOUN
fumecheng-7612	343	41	as	as	SCONJ
fumecheng-7612	343	42	described	describe	VERB
fumecheng-7612	343	43	in	in	ADP
fumecheng-7612	343	44	eq	eq	ADP
fumecheng-7612	343	45	.	.	PUNCT
fumecheng-7612	344	1	(	(	PUNCT
fumecheng-7612	344	2	23	23	NUM
fumecheng-7612	344	3	)	)	PUNCT
fumecheng-7612	344	4	.	.	PUNCT
fumecheng-7612	345	1	during	during	ADP
fumecheng-7612	345	2	the	the	DET
fumecheng-7612	345	3	period	period	NOUN
fumecheng-7612	345	4	,	,	PUNCT
fumecheng-7612	345	5	t2	t2	NOUN
fumecheng-7612	345	6	-	-	PUNCT
fumecheng-7612	345	7	t3	t3	NOUN
fumecheng-7612	345	8	,	,	PUNCT
fumecheng-7612	345	9	when	when	SCONJ
fumecheng-7612	345	10	the	the	DET
fumecheng-7612	345	11	value	value	NOUN
fumecheng-7612	345	12	of	of	ADP
fumecheng-7612	345	13	kl	kl	PROPN
fumecheng-7612	345	14	does	do	AUX
fumecheng-7612	345	15	not	not	PART
fumecheng-7612	345	16	change	change	VERB
fumecheng-7612	345	17	from	from	ADP
fumecheng-7612	345	18	the	the	DET
fumecheng-7612	345	19	one	one	NUM
fumecheng-7612	345	20	in	in	ADP
fumecheng-7612	345	21	the	the	DET
fumecheng-7612	345	22	previous	previous	ADJ
fumecheng-7612	345	23	period	period	NOUN
fumecheng-7612	345	24	,	,	PUNCT
fumecheng-7612	345	25	t1	t1	NOUN
fumecheng-7612	345	26	-	-	PUNCT
fumecheng-7612	345	27	t2	t2	NOUN
fumecheng-7612	345	28	,	,	PUNCT
fumecheng-7612	345	29	we	we	PRON
fumecheng-7612	345	30	have	have	VERB
fumecheng-7612	345	31	w1i(x	w1i(x	PROPN
fumecheng-7612	345	32	)	)	PUNCT
fumecheng-7612	346	1	=	=	SYM
fumecheng-7612	346	2	w2i(x	w2i(x	ADJ
fumecheng-7612	346	3	)	)	PUNCT
fumecheng-7612	346	4	,	,	PUNCT
fumecheng-7612	346	5	1i(x	1i(x	NOUN
fumecheng-7612	346	6	)	)	PUNCT
fumecheng-7612	347	1	=	=	SYM
fumecheng-7612	347	2	2i(x	2i(x	ADJ
fumecheng-7612	347	3	)	)	PUNCT
fumecheng-7612	347	4	,	,	PUNCT
fumecheng-7612	347	5	the	the	DET
fumecheng-7612	347	6	free	free	ADJ
fumecheng-7612	347	7	vibration	vibration	NOUN
fumecheng-7612	347	8	response	response	NOUN
fumecheng-7612	347	9	from	from	ADP
fumecheng-7612	347	10	the	the	DET
fumecheng-7612	347	11	initial	initial	ADJ
fumecheng-7612	347	12	condition	condition	NOUN
fumecheng-7612	347	13	at	at	ADP
fumecheng-7612	347	14	t2	t2	PROPN
fumecheng-7612	347	15	is	be	AUX
fumecheng-7612	347	16	,	,	PUNCT
fumecheng-7612	347	17	2	2	NUM
fumecheng-7612	347	18	2	2	NUM
fumecheng-7612	347	19	2	2	NUM
fumecheng-7612	347	20	22	22	NUM
fumecheng-7612	347	21	2	2	NUM
fumecheng-7612	347	22	2	2	NUM
fumecheng-7612	347	23	1	1	NUM
fumecheng-7612	347	24	(	(	PUNCT
fumecheng-7612	347	25	,	,	PUNCT
fumecheng-7612	347	26	)	)	PUNCT
fumecheng-7612	347	27	(	(	PUNCT
fumecheng-7612	347	28	)	)	PUNCT
fumecheng-7612	347	29	(	(	PUNCT
fumecheng-7612	347	30	cos	cos	ADP
fumecheng-7612	347	31	sin	sin	PROPN
fumecheng-7612	347	32	)	)	PUNCT
fumecheng-7612	348	1	i	i	PRON
fumecheng-7612	348	2	i	i	PRON
fumecheng-7612	349	1	i	i	PRON
fumecheng-7612	350	1	i	i	PRON
fumecheng-7612	350	2	ii	ii	VERB
fumecheng-7612	351	1	i	i	PRON
fumecheng-7612	351	2	t	t	VERB
fumecheng-7612	351	3	free	free	ADJ
fumecheng-7612	352	1	d	d	PROPN
fumecheng-7612	352	2	d	d	NOUN
fumecheng-7612	352	3	i	i	PRON
fumecheng-7612	352	4	w	w	VERB
fumecheng-7612	352	5	x	x	X
fumecheng-7612	352	6	t	t	PROPN
fumecheng-7612	352	7	w	w	NOUN
fumecheng-7612	352	8	x	x	X
fumecheng-7612	352	9	e	e	X
fumecheng-7612	352	10	a	a	PROPN
fumecheng-7612	352	11	t	t	PROPN
fumecheng-7612	352	12	b	b	PROPN
fumecheng-7612	352	13	t	t	PROPN
fumecheng-7612	352	14			NOUN
fumecheng-7612	352	15			X
fumecheng-7612	352	16			X
fumecheng-7612	352	17			X
fumecheng-7612	352	18			NOUN
fumecheng-7612	352	19	−	−	NOUN
fumecheng-7612	352	20	=	=	SYM
fumecheng-7612	352	21	=	=	PUNCT
fumecheng-7612	353	1			NUM
fumecheng-7612	353	2	+	+	NOUN
fumecheng-7612	353	3			X
fumecheng-7612	353	4	(	(	PUNCT
fumecheng-7612	353	5	2	2	NUM
fumecheng-7612	353	6	3	3	NUM
fumecheng-7612	353	7	t	t	NOUN
fumecheng-7612	353	8	t	t	PROPN
fumecheng-7612	353	9	t	t	NOUN
fumecheng-7612	353	10			PROPN
fumecheng-7612	353	11	)	)	PUNCT
fumecheng-7612	353	12	,	,	PUNCT
fumecheng-7612	353	13	(	(	PUNCT
fumecheng-7612	353	14	24	24	NUM
fumecheng-7612	353	15	)	)	PUNCT
fumecheng-7612	353	16	where	where	SCONJ
fumecheng-7612	353	17	2i	2i	NOUN
fumecheng-7612	353	18	a	a	PRON
fumecheng-7612	353	19	and	and	CCONJ
fumecheng-7612	353	20	2i	2i	NUM
fumecheng-7612	353	21	b	b	NOUN
fumecheng-7612	353	22	are	be	AUX
fumecheng-7612	353	23	determined	determine	VERB
fumecheng-7612	353	24	by	by	ADP
fumecheng-7612	353	25	1	1	NUM
fumecheng-7612	353	26	2	2	NUM
fumecheng-7612	353	27	(	(	PUNCT
fumecheng-7612	353	28	)	)	PUNCT
fumecheng-7612	353	29	i	i	PRON
fumecheng-7612	353	30	q	q	PROPN
fumecheng-7612	353	31	t	t	PROPN
fumecheng-7612	353	32	and	and	CCONJ
fumecheng-7612	353	33	1	1	NUM
fumecheng-7612	353	34	(	(	PUNCT
fumecheng-7612	353	35	)	)	PUNCT
fumecheng-7612	353	36	i	i	PRON
fumecheng-7612	353	37	dq	dq	VERB
fumecheng-7612	353	38	t	t	X
fumecheng-7612	353	39	dt	dt	NOUN
fumecheng-7612	353	40	at	at	ADP
fumecheng-7612	353	41	t	t	PROPN
fumecheng-7612	353	42	=	=	SYM
fumecheng-7612	353	43	t2	t2	NOUN
fumecheng-7612	353	44	.	.	PUNCT
fumecheng-7612	354	1	2	2	NUM
fumecheng-7612	354	2	2	2	NUM
fumecheng-7612	354	3	2	2	NUM
fumecheng-7612	354	4	22	22	NUM
fumecheng-7612	354	5	2	2	NUM
fumecheng-7612	354	6	2	2	NUM
fumecheng-7612	354	7	2	2	NUM
fumecheng-7612	354	8	1	1	NUM
fumecheng-7612	354	9	2	2	NUM
fumecheng-7612	354	10	(	(	PUNCT
fumecheng-7612	354	11	cos	cos	X
fumecheng-7612	354	12	sin	sin	NOUN
fumecheng-7612	354	13	)	)	PUNCT
fumecheng-7612	354	14	(	(	PUNCT
fumecheng-7612	354	15	)	)	PUNCT
fumecheng-7612	355	1	i	i	PRON
fumecheng-7612	355	2	i	i	PRON
fumecheng-7612	356	1	i	i	PRON
fumecheng-7612	357	1	i	i	PRON
fumecheng-7612	357	2	ii	ii	VERB
fumecheng-7612	358	1	i	i	PRON
fumecheng-7612	358	2	t	t	PROPN
fumecheng-7612	359	1	d	d	PROPN
fumecheng-7612	359	2	de	de	PROPN
fumecheng-7612	359	3	a	a	PROPN
fumecheng-7612	359	4	t	t	PROPN
fumecheng-7612	359	5	b	b	PROPN
fumecheng-7612	359	6	t	t	PROPN
fumecheng-7612	359	7	q	q	PROPN
fumecheng-7612	359	8	t	t	PROPN
fumecheng-7612	359	9			NOUN
fumecheng-7612	359	10			X
fumecheng-7612	359	11			X
fumecheng-7612	359	12			X
fumecheng-7612	359	13	−	−	PROPN
fumecheng-7612	360	1	+	+	CCONJ
fumecheng-7612	360	2	=	=	SYM
fumecheng-7612	360	3	;	;	PUNCT
fumecheng-7612	360	4	(	(	PUNCT
fumecheng-7612	360	5	25	25	NUM
fumecheng-7612	360	6	)	)	SYM
fumecheng-7612	360	7	2	2	NUM
fumecheng-7612	360	8	2	2	NUM
fumecheng-7612	360	9	2	2	NUM
fumecheng-7612	360	10	2	2	NUM
fumecheng-7612	360	11	2	2	NUM
fumecheng-7612	360	12	2	2	NUM
fumecheng-7612	360	13	2	2	NUM
fumecheng-7612	360	14	2	2	NUM
fumecheng-7612	360	15	2	2	NUM
fumecheng-7612	360	16	2	2	NUM
fumecheng-7612	360	17	2	2	NUM
fumecheng-7612	360	18	2	2	NUM
fumecheng-7612	360	19	2	2	NUM
fumecheng-7612	360	20	2	2	NUM
fumecheng-7612	360	21	2	2	NUM
fumecheng-7612	360	22	1	1	NUM
fumecheng-7612	360	23	2	2	NUM
fumecheng-7612	360	24	2	2	NUM
fumecheng-7612	360	25	2	2	NUM
fumecheng-7612	360	26	2	2	NUM
fumecheng-7612	360	27	(	(	PUNCT
fumecheng-7612	360	28	cos	cos	X
fumecheng-7612	360	29	sin	sin	NOUN
fumecheng-7612	360	30	)	)	PUNCT
fumecheng-7612	360	31	(	(	PUNCT
fumecheng-7612	360	32	)	)	PUNCT
fumecheng-7612	360	33	(	(	PUNCT
fumecheng-7612	360	34	sin	sin	NOUN
fumecheng-7612	360	35	cos	cos	PROPN
fumecheng-7612	360	36	)	)	PUNCT
fumecheng-7612	360	37	i	i	PRON
fumecheng-7612	360	38	i	i	PRON
fumecheng-7612	361	1	i	i	PRON
fumecheng-7612	361	2	ii	ii	VERB
fumecheng-7612	362	1	i	i	PRON
fumecheng-7612	362	2	i	i	PRON
fumecheng-7612	363	1	i	i	PRON
fumecheng-7612	363	2	ii	ii	VERB
fumecheng-7612	364	1	i	i	PRON
fumecheng-7612	364	2	ii	ii	VERB
fumecheng-7612	365	1	i	i	PRON
fumecheng-7612	366	1	i	i	PRON
fumecheng-7612	366	2	t	t	NOUN
fumecheng-7612	367	1	d	d	NOUN
fumecheng-7612	367	2	d	d	X
fumecheng-7612	368	1	i	i	NOUN
fumecheng-7612	369	1	d	d	NOUN
fumecheng-7612	369	2	t	t	PROPN
fumecheng-7612	370	1	d	d	X
fumecheng-7612	370	2	d	d	X
fumecheng-7612	371	1	i	i	PRON
fumecheng-7612	372	1	d	d	NOUN
fumecheng-7612	372	2	t	t	PROPN
fumecheng-7612	372	3	t	t	PROPN
fumecheng-7612	372	4	t	t	PROPN
fumecheng-7612	372	5	t	t	PROPN
fumecheng-7612	372	6	e	e	X
fumecheng-7612	372	7	b	b	PROPN
fumecheng-7612	372	8	dq	dq	INTJ
fumecheng-7612	372	9	t	t	PROPN
fumecheng-7612	372	10	t	t	PROPN
fumecheng-7612	372	11	t	t	PROPN
fumecheng-7612	372	12	e	e	NOUN
fumecheng-7612	372	13	a	a	DET
fumecheng-7612	372	14	dt	dt	NOUN
fumecheng-7612	372	15			NOUN
fumecheng-7612	372	16			X
fumecheng-7612	372	17			NOUN
fumecheng-7612	372	18			X
fumecheng-7612	372	19			X
fumecheng-7612	372	20			X
fumecheng-7612	372	21			NOUN
fumecheng-7612	372	22			X
fumecheng-7612	372	23			X
fumecheng-7612	372	24			X
fumecheng-7612	372	25			X
fumecheng-7612	372	26			NOUN
fumecheng-7612	372	27			X
fumecheng-7612	372	28			X
fumecheng-7612	372	29	−	−	NOUN
fumecheng-7612	372	30	−	−	PROPN
fumecheng-7612	373	1	=	=	PUNCT
fumecheng-7612	374	1	−	−	PROPN
fumecheng-7612	374	2	−	−	PROPN
fumecheng-7612	375	1	+	+	CCONJ
fumecheng-7612	375	2	=	=	SYM
fumecheng-7612	375	3	;	;	PUNCT
fumecheng-7612	375	4	(	(	PUNCT
fumecheng-7612	375	5	26	26	NUM
fumecheng-7612	375	6	)	)	PUNCT
fumecheng-7612	375	7	2i	2i	NOUN
fumecheng-7612	375	8	a	a	DET
fumecheng-7612	375	9	and	and	CCONJ
fumecheng-7612	375	10	2i	2i	NUM
fumecheng-7612	375	11	b	b	NOUN
fumecheng-7612	375	12	can	can	AUX
fumecheng-7612	375	13	be	be	AUX
fumecheng-7612	375	14	obtained	obtain	VERB
fumecheng-7612	375	15	by	by	ADP
fumecheng-7612	375	16	the	the	DET
fumecheng-7612	375	17	above	above	ADJ
fumecheng-7612	375	18	formula	formula	NOUN
fumecheng-7612	375	19	,	,	PUNCT
fumecheng-7612	375	20	2	2	NUM
fumecheng-7612	375	21	2	2	NUM
fumecheng-7612	375	22	2	2	NUM
fumecheng-7612	375	23	2	2	NUM
fumecheng-7612	375	24	2	2	NUM
fumecheng-7612	375	25	2	2	NUM
fumecheng-7612	375	26	2	2	NUM
fumecheng-7612	375	27	1	1	NUM
fumecheng-7612	375	28	2	2	NUM
fumecheng-7612	375	29	1	1	NUM
fumecheng-7612	375	30	2	2	NUM
fumecheng-7612	375	31	2	2	NUM
fumecheng-7612	375	32	1	1	NUM
fumecheng-7612	375	33	2	2	NUM
fumecheng-7612	375	34	2	2	NUM
fumecheng-7612	375	35	2	2	NUM
fumecheng-7612	375	36	(	(	PUNCT
fumecheng-7612	375	37	)	)	PUNCT
fumecheng-7612	375	38	(	(	PUNCT
fumecheng-7612	375	39	(	(	PUNCT
fumecheng-7612	375	40	(	(	PUNCT
fumecheng-7612	375	41	)	)	PUNCT
fumecheng-7612	375	42	)	)	PUNCT
fumecheng-7612	376	1	cos	cos	PROPN
fumecheng-7612	376	2	(	(	PUNCT
fumecheng-7612	376	3	)	)	PUNCT
fumecheng-7612	376	4	(	(	PUNCT
fumecheng-7612	376	5	)	)	PUNCT
fumecheng-7612	376	6	sin	sin	NOUN
fumecheng-7612	376	7	(	(	PUNCT
fumecheng-7612	376	8	)	)	PUNCT
fumecheng-7612	376	9	)	)	PUNCT
fumecheng-7612	377	1	=	=	PUNCT
fumecheng-7612	378	1	i	i	PRON
fumecheng-7612	378	2	ii	ii	VERB
fumecheng-7612	379	1	i	i	PRON
fumecheng-7612	379	2	i	i	PRON
fumecheng-7612	379	3	ii	ii	VERB
fumecheng-7612	380	1	i	i	PRON
fumecheng-7612	380	2	i	i	PRON
fumecheng-7612	381	1	i	i	PRON
fumecheng-7612	382	1	i	i	PRON
fumecheng-7612	382	2	t	t	VERB
fumecheng-7612	383	1	i	i	NOUN
fumecheng-7612	384	1	d	d	PROPN
fumecheng-7612	384	2	d	d	PROPN
fumecheng-7612	385	1	d	d	NOUN
fumecheng-7612	385	2	t	t	PROPN
fumecheng-7612	385	3	t	t	X
fumecheng-7612	385	4	d	d	X
fumecheng-7612	385	5	dq	dq	NOUN
fumecheng-7612	385	6	t	t	PROPN
fumecheng-7612	385	7	e	e	X
fumecheng-7612	385	8	q	q	PROPN
fumecheng-7612	385	9	t	t	PROPN
fumecheng-7612	385	10	t	t	PROPN
fumecheng-7612	385	11	q	q	PROPN
fumecheng-7612	385	12	t	t	PROPN
fumecheng-7612	385	13	t	t	PROPN
fumecheng-7612	385	14	dt	dt	X
fumecheng-7612	385	15	b	b	X
fumecheng-7612	385	16			NOUN
fumecheng-7612	385	17			X
fumecheng-7612	385	18			NOUN
fumecheng-7612	385	19			X
fumecheng-7612	385	20			X
fumecheng-7612	385	21			X
fumecheng-7612	385	22			X
fumecheng-7612	385	23			X
fumecheng-7612	385	24	=	=	PUNCT
fumecheng-7612	385	25			PROPN
fumecheng-7612	385	26	+	+	CCONJ
fumecheng-7612	385	27	+	+	CCONJ
fumecheng-7612	385	28	;	;	PUNCT
fumecheng-7612	385	29	(	(	PUNCT
fumecheng-7612	385	30	27	27	NUM
fumecheng-7612	385	31	)	)	SYM
fumecheng-7612	385	32	2	2	NUM
fumecheng-7612	385	33	2	2	NUM
fumecheng-7612	385	34	2	2	NUM
fumecheng-7612	385	35	2	2	NUM
fumecheng-7612	385	36	1	1	NUM
fumecheng-7612	385	37	2	2	NUM
fumecheng-7612	385	38	2	2	NUM
fumecheng-7612	385	39	2	2	NUM
fumecheng-7612	385	40	2	2	NUM
fumecheng-7612	385	41	2	2	NUM
fumecheng-7612	385	42	(	(	PUNCT
fumecheng-7612	385	43	)	)	PUNCT
fumecheng-7612	385	44	sin	sin	NOUN
fumecheng-7612	385	45	(	(	PUNCT
fumecheng-7612	385	46	)	)	PUNCT
fumecheng-7612	385	47	=	=	SYM
fumecheng-7612	385	48	cos	cos	PROPN
fumecheng-7612	385	49	(	(	PUNCT
fumecheng-7612	385	50	)	)	PUNCT
fumecheng-7612	385	51	i	i	PRON
fumecheng-7612	386	1	i	i	PRON
fumecheng-7612	386	2	i	i	PRON
fumecheng-7612	387	1	i	i	PRON
fumecheng-7612	387	2	i	i	PRON
fumecheng-7612	388	1	i	i	PRON
fumecheng-7612	389	1	i	i	PRON
fumecheng-7612	389	2	t	t	PROPN
fumecheng-7612	390	1	d	d	X
fumecheng-7612	390	2	d	d	X
fumecheng-7612	390	3	q	q	PROPN
fumecheng-7612	390	4	t	t	PROPN
fumecheng-7612	390	5	e	e	PROPN
fumecheng-7612	390	6	b	b	PROPN
fumecheng-7612	390	7	t	t	PROPN
fumecheng-7612	390	8	a	a	DET
fumecheng-7612	390	9	t	t	NOUN
fumecheng-7612	390	10			NOUN
fumecheng-7612	390	11			X
fumecheng-7612	390	12			X
fumecheng-7612	390	13			X
fumecheng-7612	390	14			PROPN
fumecheng-7612	390	15	−	−	PROPN
fumecheng-7612	390	16	;	;	PUNCT
fumecheng-7612	390	17	(	(	PUNCT
fumecheng-7612	390	18	28	28	NUM
fumecheng-7612	390	19	)	)	PUNCT
fumecheng-7612	390	20	during	during	ADP
fumecheng-7612	390	21	the	the	DET
fumecheng-7612	390	22	period	period	NOUN
fumecheng-7612	390	23	,	,	PUNCT
fumecheng-7612	390	24	t2	t2	NOUN
fumecheng-7612	390	25	-	-	PUNCT
fumecheng-7612	390	26	t3	t3	NOUN
fumecheng-7612	390	27	,	,	PUNCT
fumecheng-7612	390	28	the	the	DET
fumecheng-7612	390	29	total	total	ADJ
fumecheng-7612	390	30	vibration	vibration	NOUN
fumecheng-7612	390	31	response	response	NOUN
fumecheng-7612	390	32	is	be	AUX
fumecheng-7612	390	33	,	,	PUNCT
fumecheng-7612	390	34	2	2	NUM
fumecheng-7612	390	35	2	2	NUM
fumecheng-7612	390	36	2	2	NUM
fumecheng-7612	390	37	2	2	NUM
fumecheng-7612	390	38	2	2	NUM
fumecheng-7612	390	39	2	2	NUM
fumecheng-7612	390	40	2	2	NUM
fumecheng-7612	390	41	2	2	NUM
fumecheng-7612	390	42	2	2	NUM
fumecheng-7612	390	43	2	2	NUM
fumecheng-7612	390	44	2	2	NUM
fumecheng-7612	390	45	2	2	NUM
fumecheng-7612	390	46	2	2	NUM
fumecheng-7612	390	47	2	2	NUM
fumecheng-7612	390	48	1	1	NUM
fumecheng-7612	390	49	1	1	NUM
fumecheng-7612	390	50	2	2	NUM
fumecheng-7612	390	51	2	2	NUM
fumecheng-7612	390	52	2	2	NUM
fumecheng-7612	390	53	1	1	NUM
fumecheng-7612	390	54	(	(	PUNCT
fumecheng-7612	390	55	)	)	PUNCT
fumecheng-7612	390	56	2	2	NUM
fumecheng-7612	390	57	2	2	NUM
fumecheng-7612	390	58	20	20	NUM
fumecheng-7612	390	59	(	(	PUNCT
fumecheng-7612	390	60	,	,	PUNCT
fumecheng-7612	390	61	)	)	PUNCT
fumecheng-7612	390	62	(	(	PUNCT
fumecheng-7612	390	63	)	)	PUNCT
fumecheng-7612	390	64	(	(	PUNCT
fumecheng-7612	390	65	)	)	PUNCT
fumecheng-7612	390	66	=	=	SYM
fumecheng-7612	390	67	(	(	PUNCT
fumecheng-7612	390	68	)	)	PUNCT
fumecheng-7612	390	69	(	(	PUNCT
fumecheng-7612	390	70	(	(	PUNCT
fumecheng-7612	390	71	)	)	PUNCT
fumecheng-7612	390	72	+	+	NUM
fumecheng-7612	390	73	(	(	PUNCT
fumecheng-7612	390	74	)	)	PUNCT
fumecheng-7612	390	75	)	)	PUNCT
fumecheng-7612	391	1	=	=	PRON
fumecheng-7612	391	2	(	(	PUNCT
fumecheng-7612	391	3	)	)	PUNCT
fumecheng-7612	391	4	(	(	PUNCT
fumecheng-7612	391	5	(	(	PUNCT
fumecheng-7612	391	6	cos	cos	X
fumecheng-7612	391	7	sin	sin	NOUN
fumecheng-7612	391	8	)	)	PUNCT
fumecheng-7612	391	9	1	1	NUM
fumecheng-7612	391	10	(	(	PUNCT
fumecheng-7612	391	11	)	)	PUNCT
fumecheng-7612	391	12	sin	sin	NOUN
fumecheng-7612	391	13	(	(	PUNCT
fumecheng-7612	391	14	(	(	PUNCT
fumecheng-7612	391	15	)	)	PUNCT
fumecheng-7612	391	16	)	)	PUNCT
fumecheng-7612	391	17	)	)	PUNCT
fumecheng-7612	392	1	i	i	PRON
fumecheng-7612	392	2	i	i	PRON
fumecheng-7612	393	1	i	i	PRON
fumecheng-7612	393	2	i	i	PRON
fumecheng-7612	394	1	i	i	PRON
fumecheng-7612	394	2	i	i	PRON
fumecheng-7612	395	1	i	i	PRON
fumecheng-7612	395	2	i	i	PRON
fumecheng-7612	396	1	i	i	PRON
fumecheng-7612	396	2	ii	ii	VERB
fumecheng-7612	397	1	i	i	PRON
fumecheng-7612	397	2	i	i	PRON
fumecheng-7612	398	1	i	i	PRON
fumecheng-7612	398	2	i	i	PRON
fumecheng-7612	399	1	i	i	PRON
fumecheng-7612	399	2	i	i	PRON
fumecheng-7612	399	3	free	free	VERB
fumecheng-7612	399	4	force	force	NOUN
fumecheng-7612	400	1	i	i	PRON
fumecheng-7612	400	2	i	i	PRON
fumecheng-7612	400	3	t	t	NOUN
fumecheng-7612	401	1	d	d	NOUN
fumecheng-7612	402	1	d	d	X
fumecheng-7612	403	1	i	i	PRON
fumecheng-7612	404	1	t	t	NOUN
fumecheng-7612	405	1	t	t	PROPN
fumecheng-7612	406	1	t	t	PROPN
fumecheng-7612	406	2	t	t	PROPN
fumecheng-7612	407	1	d	d	X
fumecheng-7612	407	2	d	d	X
fumecheng-7612	407	3	w	w	PROPN
fumecheng-7612	407	4	x	x	X
fumecheng-7612	407	5	t	t	PROPN
fumecheng-7612	407	6	w	w	NOUN
fumecheng-7612	407	7	x	x	X
fumecheng-7612	407	8	q	q	PROPN
fumecheng-7612	407	9	t	t	PROPN
fumecheng-7612	407	10	w	w	PROPN
fumecheng-7612	407	11	x	x	X
fumecheng-7612	407	12	q	q	PROPN
fumecheng-7612	407	13	t	t	PROPN
fumecheng-7612	407	14	q	q	PROPN
fumecheng-7612	407	15	t	t	PROPN
fumecheng-7612	407	16	w	w	PROPN
fumecheng-7612	407	17	x	x	PROPN
fumecheng-7612	407	18	e	e	X
fumecheng-7612	407	19	a	a	PROPN
fumecheng-7612	407	20	t	t	PROPN
fumecheng-7612	407	21	b	b	PROPN
fumecheng-7612	407	22	t	t	PROPN
fumecheng-7612	407	23	f	f	PROPN
fumecheng-7612	407	24	t	t	PROPN
fumecheng-7612	407	25	e	e	PROPN
fumecheng-7612	407	26	t	t	PROPN
fumecheng-7612	407	27	t	t	PROPN
fumecheng-7612	408	1	d	d	NOUN
fumecheng-7612	408	2			NOUN
fumecheng-7612	408	3			X
fumecheng-7612	408	4			NOUN
fumecheng-7612	408	5			X
fumecheng-7612	408	6			NOUN
fumecheng-7612	408	7			X
fumecheng-7612	408	8			X
fumecheng-7612	408	9			NOUN
fumecheng-7612	408	10			PROPN
fumecheng-7612	408	11			NOUN
fumecheng-7612	408	12			VERB
fumecheng-7612	408	13			X
fumecheng-7612	408	14			VERB
fumecheng-7612	408	15			NOUN
fumecheng-7612	408	16	=	=	SYM
fumecheng-7612	408	17	=	=	SYM
fumecheng-7612	408	18			VERB
fumecheng-7612	408	19	−	−	PUNCT
fumecheng-7612	408	20	=	=	SYM
fumecheng-7612	408	21	−	−	PROPN
fumecheng-7612	408	22	−	−	NOUN
fumecheng-7612	408	23	−	−	NOUN
fumecheng-7612	409	1	=	=	SYM
fumecheng-7612	410	1			PROPN
fumecheng-7612	410	2	+	+	SYM
fumecheng-7612	410	3	+	+	PUNCT
fumecheng-7612	410	4	+	+	CCONJ
fumecheng-7612	410	5			ADJ
fumecheng-7612	410	6			ADJ
fumecheng-7612	410	7			PROPN
fumecheng-7612	410	8	−	−	PROPN
fumecheng-7612	410	9	−	−	PROPN
fumecheng-7612	410	10			X
fumecheng-7612	410	11			X
fumecheng-7612	410	12			X
fumecheng-7612	410	13			PUNCT
fumecheng-7612	411	1	(	(	PUNCT
fumecheng-7612	411	2	2	2	NUM
fumecheng-7612	411	3	3	3	NUM
fumecheng-7612	411	4	t	t	NOUN
fumecheng-7612	411	5	t	t	PROPN
fumecheng-7612	411	6	t	t	NOUN
fumecheng-7612	411	7			PROPN
fumecheng-7612	411	8	)	)	PUNCT
fumecheng-7612	411	9	.	.	PUNCT
fumecheng-7612	412	1	(	(	PUNCT
fumecheng-7612	412	2	29	29	NUM
fumecheng-7612	412	3	)	)	PUNCT
fumecheng-7612	412	4	where	where	SCONJ
fumecheng-7612	412	5	qfree2i	qfree2i	PROPN
fumecheng-7612	412	6	(	(	PUNCT
fumecheng-7612	412	7	t	t	PROPN
fumecheng-7612	412	8	)	)	PUNCT
fumecheng-7612	412	9	is	be	AUX
fumecheng-7612	412	10	i	i	PROPN
fumecheng-7612	412	11	-	-	PUNCT
fumecheng-7612	412	12	th	th	X
fumecheng-7612	412	13	corresponding	corresponding	ADJ
fumecheng-7612	412	14	generalized	generalize	VERB
fumecheng-7612	412	15	coordinate	coordinate	NOUN
fumecheng-7612	412	16	of	of	ADP
fumecheng-7612	412	17	free	free	ADJ
fumecheng-7612	412	18	vibration	vibration	NOUN
fumecheng-7612	412	19	during	during	ADP
fumecheng-7612	412	20	t2	t2	NOUN
fumecheng-7612	412	21	-	-	PUNCT
fumecheng-7612	412	22	t3	t3	NOUN
fumecheng-7612	412	23	,	,	PUNCT
fumecheng-7612	412	24	qforce2i	qforce2i	PROPN
fumecheng-7612	412	25	(	(	PUNCT
fumecheng-7612	412	26	t	t	PROPN
fumecheng-7612	412	27	)	)	PUNCT
fumecheng-7612	412	28	is	be	AUX
fumecheng-7612	412	29	i	i	PROPN
fumecheng-7612	412	30	-	-	PUNCT
fumecheng-7612	412	31	th	th	X
fumecheng-7612	412	32	corresponding	corresponding	ADJ
fumecheng-7612	412	33	generalized	generalize	VERB
fumecheng-7612	412	34	coordinate	coordinate	NOUN
fumecheng-7612	412	35	of	of	ADP
fumecheng-7612	412	36	the	the	DET
fumecheng-7612	412	37	external	external	ADJ
fumecheng-7612	412	38	force	force	NOUN
fumecheng-7612	412	39	induced	induce	VERB
fumecheng-7612	412	40	vibration	vibration	NOUN
fumecheng-7612	412	41	during	during	ADP
fumecheng-7612	412	42	t2	t2	NOUN
fumecheng-7612	412	43	-	-	PUNCT
fumecheng-7612	412	44	t3	t3	NOUN
fumecheng-7612	412	45	.	.	PUNCT
fumecheng-7612	413	1	study	study	NOUN
fumecheng-7612	413	2	on	on	ADP
fumecheng-7612	413	3	vibration	vibration	NOUN
fumecheng-7612	413	4	response	response	NOUN
fumecheng-7612	413	5	of	of	ADP
fumecheng-7612	413	6	a	a	DET
fumecheng-7612	413	7	non	non	ADJ
fumecheng-7612	413	8	-	-	ADJ
fumecheng-7612	413	9	uniform	uniform	ADJ
fumecheng-7612	413	10	beam	beam	NOUN
fumecheng-7612	413	11	with	with	ADP
fumecheng-7612	413	12	nonlinear	nonlinear	ADJ
fumecheng-7612	413	13	boundary	boundary	ADJ
fumecheng-7612	413	14	condition	condition	NOUN
fumecheng-7612	413	15	791	791	NUM
fumecheng-7612	413	16	on	on	ADP
fumecheng-7612	413	17	the	the	DET
fumecheng-7612	413	18	other	other	ADJ
fumecheng-7612	413	19	hand	hand	NOUN
fumecheng-7612	413	20	,	,	PUNCT
fumecheng-7612	413	21	when	when	SCONJ
fumecheng-7612	413	22	the	the	DET
fumecheng-7612	413	23	value	value	NOUN
fumecheng-7612	413	24	of	of	ADP
fumecheng-7612	413	25	kl	kl	PROPN
fumecheng-7612	413	26	at	at	ADP
fumecheng-7612	413	27	time	time	NOUN
fumecheng-7612	413	28	t2	t2	PROPN
fumecheng-7612	413	29	-	-	PUNCT
fumecheng-7612	413	30	t3	t3	NOUN
fumecheng-7612	413	31	is	be	AUX
fumecheng-7612	413	32	different	different	ADJ
fumecheng-7612	413	33	from	from	ADP
fumecheng-7612	413	34	that	that	PRON
fumecheng-7612	413	35	of	of	ADP
fumecheng-7612	413	36	t1	t1	PROPN
fumecheng-7612	413	37	-	-	PUNCT
fumecheng-7612	413	38	t2	t2	NOUN
fumecheng-7612	413	39	with	with	ADP
fumecheng-7612	413	40	relative	relative	ADJ
fumecheng-7612	413	41	large	large	ADJ
fumecheng-7612	413	42	boundary	boundary	ADJ
fumecheng-7612	413	43	deflection	deflection	NOUN
fumecheng-7612	413	44	,	,	PUNCT
fumecheng-7612	413	45	w(0	w(0	PROPN
fumecheng-7612	413	46	,	,	PUNCT
fumecheng-7612	413	47	t	t	PROPN
fumecheng-7612	413	48	)	)	PUNCT
fumecheng-7612	413	49	,	,	PUNCT
fumecheng-7612	413	50	at	at	ADP
fumecheng-7612	413	51	t	t	PROPN
fumecheng-7612	413	52	=	=	NOUN
fumecheng-7612	413	53	t2	t2	PROPN
fumecheng-7612	413	54	reaching	reach	VERB
fumecheng-7612	413	55	to	to	ADP
fumecheng-7612	413	56	a	a	DET
fumecheng-7612	413	57	different	different	ADJ
fumecheng-7612	413	58	deflection	deflection	NOUN
fumecheng-7612	413	59	interval	interval	NOUN
fumecheng-7612	413	60	,	,	PUNCT
fumecheng-7612	413	61	the	the	DET
fumecheng-7612	413	62	corresponding	corresponding	ADJ
fumecheng-7612	413	63	vibration	vibration	NOUN
fumecheng-7612	413	64	mode	mode	NOUN
fumecheng-7612	413	65	shape	shape	NOUN
fumecheng-7612	413	66	functions	function	NOUN
fumecheng-7612	413	67	and	and	CCONJ
fumecheng-7612	413	68	generalized	generalized	ADJ
fumecheng-7612	413	69	coordinates	coordinate	NOUN
fumecheng-7612	413	70	of	of	ADP
fumecheng-7612	413	71	free	free	ADJ
fumecheng-7612	413	72	vibration	vibration	NOUN
fumecheng-7612	413	73	at	at	ADP
fumecheng-7612	413	74	time	time	NOUN
fumecheng-7612	413	75	t2	t2	PROPN
fumecheng-7612	413	76	-	-	PUNCT
fumecheng-7612	413	77	t3	t3	NOUN
fumecheng-7612	413	78	also	also	ADV
fumecheng-7612	413	79	change	change	VERB
fumecheng-7612	413	80	.	.	PUNCT
fumecheng-7612	414	1	in	in	ADP
fumecheng-7612	414	2	order	order	NOUN
fumecheng-7612	414	3	to	to	PART
fumecheng-7612	414	4	calculate	calculate	VERB
fumecheng-7612	414	5	the	the	DET
fumecheng-7612	414	6	generalized	generalize	VERB
fumecheng-7612	414	7	coordinates	coordinate	NOUN
fumecheng-7612	414	8	of	of	ADP
fumecheng-7612	414	9	free	free	ADJ
fumecheng-7612	414	10	vibration	vibration	NOUN
fumecheng-7612	414	11	at	at	ADP
fumecheng-7612	414	12	time	time	NOUN
fumecheng-7612	414	13	t2	t2	PROPN
fumecheng-7612	414	14	-	-	PUNCT
fumecheng-7612	414	15	t3	t3	NOUN
fumecheng-7612	414	16	,	,	PUNCT
fumecheng-7612	414	17	the	the	DET
fumecheng-7612	414	18	deflection	deflection	NOUN
fumecheng-7612	414	19	function	function	NOUN
fumecheng-7612	414	20	at	at	ADP
fumecheng-7612	414	21	time	time	NOUN
fumecheng-7612	414	22	t2	t2	PROPN
fumecheng-7612	414	23	need	need	VERB
fumecheng-7612	414	24	to	to	PART
fumecheng-7612	414	25	be	be	AUX
fumecheng-7612	414	26	reassigned	reassign	VERB
fumecheng-7612	414	27	,	,	PUNCT
fumecheng-7612	414	28	2	2	NUM
fumecheng-7612	414	29	21	21	NUM
fumecheng-7612	414	30	2	2	NUM
fumecheng-7612	414	31	2	2	NUM
fumecheng-7612	414	32	2	2	NUM
fumecheng-7612	414	33	2	2	NUM
fumecheng-7612	414	34	1	1	NUM
fumecheng-7612	414	35	(	(	PUNCT
fumecheng-7612	414	36	,	,	PUNCT
fumecheng-7612	414	37	)	)	PUNCT
fumecheng-7612	414	38	(	(	PUNCT
fumecheng-7612	414	39	,	,	PUNCT
fumecheng-7612	414	40	)	)	PUNCT
fumecheng-7612	414	41	=	=	SYM
fumecheng-7612	414	42	(	(	PUNCT
fumecheng-7612	414	43	)	)	PUNCT
fumecheng-7612	414	44	(	(	PUNCT
fumecheng-7612	414	45	)	)	PUNCT
fumecheng-7612	414	46	i	i	PRON
fumecheng-7612	414	47	i	i	PRON
fumecheng-7612	414	48	free	free	VERB
fumecheng-7612	414	49	free	free	ADV
fumecheng-7612	414	50	i	i	PRON
fumecheng-7612	414	51	w	w	VERB
fumecheng-7612	414	52	x	x	X
fumecheng-7612	414	53	t	t	PROPN
fumecheng-7612	414	54	w	w	PROPN
fumecheng-7612	414	55	x	x	PROPN
fumecheng-7612	414	56	t	t	PROPN
fumecheng-7612	414	57	w	w	PROPN
fumecheng-7612	414	58	x	x	X
fumecheng-7612	414	59	q	q	PROPN
fumecheng-7612	414	60	t	t	NOUN
fumecheng-7612	414	61			NOUN
fumecheng-7612	414	62	=	=	SYM
fumecheng-7612	414	63	=	=	SYM
fumecheng-7612	414	64			X
fumecheng-7612	414	65	(	(	PUNCT
fumecheng-7612	414	66	30	30	NUM
fumecheng-7612	414	67	)	)	PUNCT
fumecheng-7612	414	68	where	where	SCONJ
fumecheng-7612	414	69	w1(x	w1(x	PROPN
fumecheng-7612	414	70	,	,	PUNCT
fumecheng-7612	414	71	t2	t2	NOUN
fumecheng-7612	414	72	)	)	PUNCT
fumecheng-7612	414	73	is	be	AUX
fumecheng-7612	414	74	the	the	DET
fumecheng-7612	414	75	deflection	deflection	NOUN
fumecheng-7612	414	76	at	at	ADP
fumecheng-7612	414	77	time	time	NOUN
fumecheng-7612	414	78	t2	t2	PROPN
fumecheng-7612	414	79	from	from	ADP
fumecheng-7612	414	80	the	the	DET
fumecheng-7612	414	81	previous	previous	ADJ
fumecheng-7612	414	82	iteration	iteration	NOUN
fumecheng-7612	414	83	period	period	NOUN
fumecheng-7612	414	84	,	,	PUNCT
fumecheng-7612	414	85	t1	t1	NOUN
fumecheng-7612	414	86	-	-	PUNCT
fumecheng-7612	414	87	t2	t2	NOUN
fumecheng-7612	414	88	..	..	PUNCT
fumecheng-7612	414	89	wfree2(x	wfree2(x	NOUN
fumecheng-7612	414	90	,	,	PUNCT
fumecheng-7612	414	91	t2	t2	NOUN
fumecheng-7612	414	92	)	)	PUNCT
fumecheng-7612	414	93	is	be	AUX
fumecheng-7612	414	94	the	the	DET
fumecheng-7612	414	95	response	response	NOUN
fumecheng-7612	414	96	of	of	ADP
fumecheng-7612	414	97	the	the	DET
fumecheng-7612	414	98	free	free	ADJ
fumecheng-7612	414	99	vibration	vibration	NOUN
fumecheng-7612	414	100	at	at	ADP
fumecheng-7612	414	101	time	time	NOUN
fumecheng-7612	414	102	t2	t2	PROPN
fumecheng-7612	414	103	,	,	PUNCT
fumecheng-7612	414	104	2	2	NUM
fumecheng-7612	414	105	(	(	PUNCT
fumecheng-7612	414	106	)	)	PUNCT
fumecheng-7612	415	1	i	i	PRON
fumecheng-7612	415	2	w	w	VERB
fumecheng-7612	415	3	x	x	VERB
fumecheng-7612	415	4	is	be	AUX
fumecheng-7612	415	5	the	the	DET
fumecheng-7612	415	6	mode	mode	NOUN
fumecheng-7612	415	7	shape	shape	NOUN
fumecheng-7612	415	8	function	function	NOUN
fumecheng-7612	415	9	of	of	ADP
fumecheng-7612	415	10	the	the	DET
fumecheng-7612	415	11	structure	structure	NOUN
fumecheng-7612	415	12	starting	start	VERB
fumecheng-7612	415	13	at	at	ADP
fumecheng-7612	415	14	time	time	NOUN
fumecheng-7612	415	15	t2	t2	NOUN
fumecheng-7612	415	16	,	,	PUNCT
fumecheng-7612	415	17	2	2	NUM
fumecheng-7612	415	18	1	1	NUM
fumecheng-7612	415	19	(	(	PUNCT
fumecheng-7612	415	20	)	)	PUNCT
fumecheng-7612	415	21	(	(	PUNCT
fumecheng-7612	415	22	)	)	PUNCT
fumecheng-7612	416	1	i	i	PRON
fumecheng-7612	416	2	i	i	PRON
fumecheng-7612	416	3	w	w	VERB
fumecheng-7612	416	4	x	x	X
fumecheng-7612	416	5	w	w	PROPN
fumecheng-7612	416	6	x	x	PROPN
fumecheng-7612	416	7	,	,	PUNCT
fumecheng-7612	416	8	qfree2i	qfree2i	PROPN
fumecheng-7612	416	9	(	(	PUNCT
fumecheng-7612	416	10	t2	t2	PROPN
fumecheng-7612	416	11	)	)	PUNCT
fumecheng-7612	416	12	is	be	AUX
fumecheng-7612	416	13	the	the	DET
fumecheng-7612	416	14	i	i	PROPN
fumecheng-7612	416	15	-	-	PUNCT
fumecheng-7612	416	16	th	th	X
fumecheng-7612	416	17	generalized	generalize	VERB
fumecheng-7612	416	18	coordinate	coordinate	NOUN
fumecheng-7612	416	19	of	of	ADP
fumecheng-7612	416	20	free	free	ADJ
fumecheng-7612	416	21	vibration	vibration	NOUN
fumecheng-7612	416	22	at	at	ADP
fumecheng-7612	416	23	time	time	NOUN
fumecheng-7612	416	24	t2	t2	PROPN
fumecheng-7612	416	25	.	.	PUNCT
fumecheng-7612	417	1	both	both	DET
fumecheng-7612	417	2	sides	side	NOUN
fumecheng-7612	417	3	of	of	ADP
fumecheng-7612	417	4	eq	eq	PROPN
fumecheng-7612	417	5	.	.	PUNCT
fumecheng-7612	418	1	(	(	PUNCT
fumecheng-7612	418	2	30	30	NUM
fumecheng-7612	418	3	)	)	PUNCT
fumecheng-7612	418	4	are	be	AUX
fumecheng-7612	418	5	multiplied	multiply	VERB
fumecheng-7612	418	6	by	by	ADP
fumecheng-7612	418	7	2	2	NUM
fumecheng-7612	418	8	(	(	PUNCT
fumecheng-7612	418	9	)	)	PUNCT
fumecheng-7612	419	1	j	j	PROPN
fumecheng-7612	419	2	w	w	PROPN
fumecheng-7612	419	3	x	x	PROPN
fumecheng-7612	419	4	and	and	CCONJ
fumecheng-7612	419	5	integrated	integrate	VERB
fumecheng-7612	419	6	on	on	ADP
fumecheng-7612	419	7	0	0	NUM
fumecheng-7612	419	8	-	-	PUNCT
fumecheng-7612	419	9	l	l	NOUN
fumecheng-7612	419	10	giving	give	VERB
fumecheng-7612	419	11	21	21	NUM
fumecheng-7612	419	12	2	2	NUM
fumecheng-7612	419	13	2	2	NUM
fumecheng-7612	419	14	2	2	NUM
fumecheng-7612	419	15	2	2	NUM
fumecheng-7612	419	16	20	20	NUM
fumecheng-7612	419	17	0	0	NUM
fumecheng-7612	419	18	1	1	NUM
fumecheng-7612	419	19	(	(	PUNCT
fumecheng-7612	419	20	,	,	PUNCT
fumecheng-7612	419	21	)	)	PUNCT
fumecheng-7612	419	22	(	(	PUNCT
fumecheng-7612	419	23	)	)	PUNCT
fumecheng-7612	419	24	(	(	PUNCT
fumecheng-7612	419	25	)	)	PUNCT
fumecheng-7612	419	26	(	(	PUNCT
fumecheng-7612	419	27	)	)	PUNCT
fumecheng-7612	419	28	(	(	PUNCT
fumecheng-7612	419	29	)	)	PUNCT
fumecheng-7612	419	30	j	j	PROPN
fumecheng-7612	420	1	i	i	PRON
fumecheng-7612	420	2	ji	ji	PROPN
fumecheng-7612	421	1	l	l	NOUN
fumecheng-7612	421	2	l	l	X
fumecheng-7612	421	3	free	free	ADJ
fumecheng-7612	421	4	i	i	PRON
fumecheng-7612	421	5	w	w	VERB
fumecheng-7612	421	6	x	x	X
fumecheng-7612	421	7	t	t	PROPN
fumecheng-7612	421	8	w	w	PROPN
fumecheng-7612	421	9	x	x	X
fumecheng-7612	421	10	dx	dx	PROPN
fumecheng-7612	421	11	w	w	PROPN
fumecheng-7612	421	12	x	x	X
fumecheng-7612	421	13	q	q	PROPN
fumecheng-7612	421	14	t	t	PROPN
fumecheng-7612	421	15	w	w	PROPN
fumecheng-7612	421	16	x	x	X
fumecheng-7612	421	17	dx	dx	PROPN
fumecheng-7612	421	18			NOUN
fumecheng-7612	421	19	=	=	PUNCT
fumecheng-7612	421	20	=	=	PUNCT
fumecheng-7612	421	21			NOUN
fumecheng-7612	421	22			NOUN
fumecheng-7612	421	23	.	.	PUNCT
fumecheng-7612	422	1	(	(	PUNCT
fumecheng-7612	422	2	31	31	NUM
fumecheng-7612	422	3	)	)	PUNCT
fumecheng-7612	422	4	considering	consider	VERB
fumecheng-7612	422	5	the	the	DET
fumecheng-7612	422	6	significant	significant	ADJ
fumecheng-7612	422	7	vibration	vibration	NOUN
fumecheng-7612	422	8	natural	natural	ADJ
fumecheng-7612	422	9	frequencies	frequency	NOUN
fumecheng-7612	422	10	and	and	CCONJ
fumecheng-7612	422	11	mode	mode	NOUN
fumecheng-7612	422	12	shapes	shape	NOUN
fumecheng-7612	422	13	changes	change	NOUN
fumecheng-7612	422	14	due	due	ADJ
fumecheng-7612	422	15	to	to	ADP
fumecheng-7612	422	16	the	the	DET
fumecheng-7612	422	17	different	different	ADJ
fumecheng-7612	422	18	boundary	boundary	ADJ
fumecheng-7612	422	19	conditions	condition	NOUN
fumecheng-7612	422	20	with	with	ADP
fumecheng-7612	422	21	varying	vary	VERB
fumecheng-7612	422	22	kl	kl	NOUN
fumecheng-7612	422	23	and	and	CCONJ
fumecheng-7612	422	24	the	the	DET
fumecheng-7612	422	25	inevitable	inevitable	ADJ
fumecheng-7612	422	26	error	error	NOUN
fumecheng-7612	422	27	in	in	ADP
fumecheng-7612	422	28	the	the	DET
fumecheng-7612	422	29	mode	mode	NOUN
fumecheng-7612	422	30	shape	shape	NOUN
fumecheng-7612	422	31	functions	function	NOUN
fumecheng-7612	422	32	derived	derive	VERB
fumecheng-7612	422	33	by	by	ADP
fumecheng-7612	422	34	adm	adm	PROPN
fumecheng-7612	422	35	method	method	NOUN
fumecheng-7612	422	36	,	,	PUNCT
fumecheng-7612	422	37	when	when	SCONJ
fumecheng-7612	422	38	2	2	NUM
fumecheng-7612	422	39	2	2	NUM
fumecheng-7612	422	40	(	(	PUNCT
fumecheng-7612	422	41	)	)	PUNCT
fumecheng-7612	422	42	i	i	PRON
fumecheng-7612	422	43	freeq	freeq	ADV
fumecheng-7612	422	44	t	t	PROPN
fumecheng-7612	422	45	(	(	PUNCT
fumecheng-7612	422	46	i=1,2,3	i=1,2,3	X
fumecheng-7612	422	47	)	)	PUNCT
fumecheng-7612	422	48	are	be	AUX
fumecheng-7612	422	49	solved	solve	VERB
fumecheng-7612	422	50	,	,	PUNCT
fumecheng-7612	422	51	mode	mode	NOUN
fumecheng-7612	422	52	shape	shape	NOUN
fumecheng-7612	422	53	functions	function	NOUN
fumecheng-7612	422	54	2	2	NUM
fumecheng-7612	422	55	(	(	PUNCT
fumecheng-7612	422	56	)	)	PUNCT
fumecheng-7612	423	1	j	j	PROPN
fumecheng-7612	423	2	w	w	PROPN
fumecheng-7612	423	3	x	x	X
fumecheng-7612	423	4	(	(	PUNCT
fumecheng-7612	423	5	j=1,2,3	j=1,2,3	NUM
fumecheng-7612	423	6	)	)	PUNCT
fumecheng-7612	423	7	are	be	AUX
fumecheng-7612	423	8	introduced	introduce	VERB
fumecheng-7612	423	9	in	in	ADP
fumecheng-7612	423	10	eq	eq	ADP
fumecheng-7612	423	11	.	.	PUNCT
fumecheng-7612	424	1	(	(	PUNCT
fumecheng-7612	424	2	31	31	NUM
fumecheng-7612	424	3	)	)	PUNCT
fumecheng-7612	424	4	,	,	PUNCT
fumecheng-7612	424	5	respectively	respectively	ADV
fumecheng-7612	424	6	.	.	PUNCT
fumecheng-7612	425	1	through	through	ADP
fumecheng-7612	425	2	eq	eq	NOUN
fumecheng-7612	425	3	.	.	PUNCT
fumecheng-7612	426	1	(	(	PUNCT
fumecheng-7612	426	2	31	31	NUM
fumecheng-7612	426	3	)	)	PUNCT
fumecheng-7612	426	4	,	,	PUNCT
fumecheng-7612	426	5	if	if	SCONJ
fumecheng-7612	426	6	only	only	ADV
fumecheng-7612	426	7	the	the	DET
fumecheng-7612	426	8	generalized	generalized	ADJ
fumecheng-7612	426	9	coordinates	coordinate	NOUN
fumecheng-7612	426	10	of	of	ADP
fumecheng-7612	426	11	first	first	ADJ
fumecheng-7612	426	12	three	three	NUM
fumecheng-7612	426	13	orders	order	NOUN
fumecheng-7612	426	14	are	be	AUX
fumecheng-7612	426	15	taken	take	VERB
fumecheng-7612	426	16	consideration	consideration	NOUN
fumecheng-7612	426	17	as	as	ADP
fumecheng-7612	426	18	an	an	DET
fumecheng-7612	426	19	example	example	NOUN
fumecheng-7612	426	20	,	,	PUNCT
fumecheng-7612	426	21	we	we	PRON
fumecheng-7612	426	22	can	can	AUX
fumecheng-7612	426	23	then	then	ADV
fumecheng-7612	426	24	obtain	obtain	VERB
fumecheng-7612	426	25	,	,	PUNCT
fumecheng-7612	426	26	2	2	NUM
fumecheng-7612	426	27	3	3	NUM
fumecheng-7612	426	28	13	13	NUM
fumecheng-7612	426	29	1	1	NUM
fumecheng-7612	426	30	1	1	NUM
fumecheng-7612	426	31	3	3	NUM
fumecheng-7612	426	32	1	1	NUM
fumecheng-7612	426	33	2	2	NUM
fumecheng-7612	426	34	1	1	NUM
fumecheng-7612	426	35	3	3	NUM
fumecheng-7612	426	36	2	2	NUM
fumecheng-7612	426	37	3	3	NUM
fumecheng-7612	426	38	1	1	NUM
fumecheng-7612	426	39	3	3	NUM
fumecheng-7612	426	40	1	1	NUM
fumecheng-7612	426	41	1	1	NUM
fumecheng-7612	426	42	2	2	NUM
fumecheng-7612	426	43	1	1	NUM
fumecheng-7612	426	44	3	3	NUM
fumecheng-7612	426	45	2	2	NUM
fumecheng-7612	426	46	2	2	NUM
fumecheng-7612	426	47	2	2	NUM
fumecheng-7612	426	48	1	1	NUM
fumecheng-7612	426	49	2	2	NUM
fumecheng-7612	426	50	20	20	NUM
fumecheng-7612	426	51	0	0	NUM
fumecheng-7612	426	52	2	2	NUM
fumecheng-7612	426	53	1	1	NUM
fumecheng-7612	426	54	2	2	NUM
fumecheng-7612	426	55	2	2	NUM
fumecheng-7612	426	56	20	20	NUM
fumecheng-7612	426	57	0	0	NUM
fumecheng-7612	426	58	2	2	NUM
fumecheng-7612	426	59	2	2	NUM
fumecheng-7612	426	60	2	2	NUM
fumecheng-7612	426	61	2	2	NUM
fumecheng-7612	426	62	2	2	NUM
fumecheng-7612	426	63	2	2	NUM
fumecheng-7612	426	64	2	2	NUM
fumecheng-7612	426	65	20	20	NUM
fumecheng-7612	426	66	0	0	NUM
fumecheng-7612	426	67	0	0	NUM
fumecheng-7612	426	68	0	0	NUM
fumecheng-7612	426	69	2	2	NUM
fumecheng-7612	426	70	2	2	NUM
fumecheng-7612	426	71	2	2	NUM
fumecheng-7612	426	72	2	2	NUM
fumecheng-7612	426	73	2	2	NUM
fumecheng-7612	426	74	2	2	NUM
fumecheng-7612	426	75	2	2	NUM
fumecheng-7612	426	76	20	20	NUM
fumecheng-7612	426	77	(	(	PUNCT
fumecheng-7612	426	78	)	)	PUNCT
fumecheng-7612	426	79	(	(	PUNCT
fumecheng-7612	426	80	(	(	PUNCT
fumecheng-7612	426	81	)	)	PUNCT
fumecheng-7612	426	82	(	(	PUNCT
fumecheng-7612	426	83	,	,	PUNCT
fumecheng-7612	426	84	)	)	PUNCT
fumecheng-7612	426	85	(	(	PUNCT
fumecheng-7612	426	86	)	)	PUNCT
fumecheng-7612	426	87	(	(	PUNCT
fumecheng-7612	426	88	)	)	PUNCT
fumecheng-7612	426	89	(	(	PUNCT
fumecheng-7612	426	90	,	,	PUNCT
fumecheng-7612	426	91	)	)	PUNCT
fumecheng-7612	426	92	(	(	PUNCT
fumecheng-7612	426	93	)	)	PUNCT
fumecheng-7612	426	94	(	(	PUNCT
fumecheng-7612	426	95	)	)	PUNCT
fumecheng-7612	426	96	(	(	PUNCT
fumecheng-7612	426	97	)	)	PUNCT
fumecheng-7612	426	98	(	(	PUNCT
fumecheng-7612	426	99	)	)	PUNCT
fumecheng-7612	426	100	(	(	PUNCT
fumecheng-7612	426	101	)	)	PUNCT
fumecheng-7612	426	102	(	(	PUNCT
fumecheng-7612	426	103	)	)	PUNCT
fumecheng-7612	426	104	(	(	PUNCT
fumecheng-7612	426	105	)	)	PUNCT
fumecheng-7612	426	106	(	(	PUNCT
fumecheng-7612	426	107	)	)	PUNCT
fumecheng-7612	426	108	(	(	PUNCT
fumecheng-7612	426	109	)	)	PUNCT
fumecheng-7612	426	110	)	)	PUNCT
fumecheng-7612	426	111	/	/	PUNCT
fumecheng-7612	427	1	(	(	PUNCT
fumecheng-7612	427	2	(	(	PUNCT
fumecheng-7612	427	3	)	)	PUNCT
fumecheng-7612	427	4	(	(	PUNCT
fumecheng-7612	427	5	)	)	PUNCT
fumecheng-7612	427	6	(	(	PUNCT
fumecheng-7612	427	7	)	)	PUNCT
fumecheng-7612	427	8	(	(	PUNCT
fumecheng-7612	427	9	)	)	PUNCT
fumecheng-7612	427	10	(	(	PUNCT
fumecheng-7612	427	11	)	)	PUNCT
fumecheng-7612	427	12	(	(	PUNCT
fumecheng-7612	427	13	)	)	PUNCT
fumecheng-7612	427	14	l	l	NOUN
fumecheng-7612	427	15	l	l	X
fumecheng-7612	427	16	free	free	PROPN
fumecheng-7612	427	17	l	l	NOUN
fumecheng-7612	427	18	l	l	NOUN
fumecheng-7612	427	19	l	l	NOUN
fumecheng-7612	427	20	l	l	X
fumecheng-7612	427	21	l	l	X
fumecheng-7612	427	22	l	l	X
fumecheng-7612	427	23	q	q	X
fumecheng-7612	427	24	t	t	PROPN
fumecheng-7612	427	25	w	w	PROPN
fumecheng-7612	427	26	x	x	PROPN
fumecheng-7612	427	27	w	w	PROPN
fumecheng-7612	427	28	x	x	SYM
fumecheng-7612	427	29	t	t	PROPN
fumecheng-7612	427	30	dx	dx	PROPN
fumecheng-7612	427	31	w	w	PROPN
fumecheng-7612	427	32	x	x	PROPN
fumecheng-7612	427	33	dx	dx	PROPN
fumecheng-7612	427	34	w	w	PROPN
fumecheng-7612	427	35	x	x	PROPN
fumecheng-7612	427	36	w	w	PROPN
fumecheng-7612	427	37	x	x	SYM
fumecheng-7612	427	38	t	t	PROPN
fumecheng-7612	427	39	dx	dx	PROPN
fumecheng-7612	427	40	w	w	PROPN
fumecheng-7612	427	41	x	x	PROPN
fumecheng-7612	427	42	w	w	PROPN
fumecheng-7612	427	43	x	x	X
fumecheng-7612	427	44	dx	dx	PROPN
fumecheng-7612	427	45	g	g	PROPN
fumecheng-7612	427	46	w	w	PROPN
fumecheng-7612	427	47	x	x	PROPN
fumecheng-7612	427	48	w	w	PROPN
fumecheng-7612	427	49	x	x	X
fumecheng-7612	427	50	dx	dx	PROPN
fumecheng-7612	427	51	w	w	PROPN
fumecheng-7612	427	52	x	x	PROPN
fumecheng-7612	427	53	w	w	PROPN
fumecheng-7612	427	54	x	x	X
fumecheng-7612	427	55	dx	dx	PROPN
fumecheng-7612	427	56	g	g	PROPN
fumecheng-7612	427	57	w	w	PROPN
fumecheng-7612	427	58	x	x	PROPN
fumecheng-7612	427	59	w	w	PROPN
fumecheng-7612	427	60	x	x	X
fumecheng-7612	427	61	dx	dx	PROPN
fumecheng-7612	427	62	w	w	PROPN
fumecheng-7612	427	63	x	x	PROPN
fumecheng-7612	427	64	dx	dx	PROPN
fumecheng-7612	427	65	w	w	PROPN
fumecheng-7612	427	66	x	x	PROPN
fumecheng-7612	427	67	dx	dx	PROPN
fumecheng-7612	427	68	w	w	PROPN
fumecheng-7612	427	69	x	x	X
fumecheng-7612	427	70	dx	dx	PROPN
fumecheng-7612	427	71	h	h	PROPN
fumecheng-7612	427	72	w	w	PROPN
fumecheng-7612	427	73	x	x	PROPN
fumecheng-7612	427	74	w	w	PROPN
fumecheng-7612	427	75	x	x	X
fumecheng-7612	427	76	dx	dx	PROPN
fumecheng-7612	427	77	w	w	PROPN
fumecheng-7612	427	78	x	x	PROPN
fumecheng-7612	427	79	w	w	PROPN
fumecheng-7612	427	80	x	x	X
fumecheng-7612	427	81	dx	dx	PROPN
fumecheng-7612	427	82	=	=	SYM
fumecheng-7612	427	83	−	−	PROPN
fumecheng-7612	428	1	+	+	CCONJ
fumecheng-7612	428	2	−	−	PROPN
fumecheng-7612	428	3	−	−	NOUN
fumecheng-7612	428	4			NOUN
fumecheng-7612	429	1			X
fumecheng-7612	429	2			X
fumecheng-7612	430	1			X
fumecheng-7612	430	2			X
fumecheng-7612	431	1			NOUN
fumecheng-7612	431	2			NOUN
fumecheng-7612	432	1			SYM
fumecheng-7612	433	1	1	1	NUM
fumecheng-7612	433	2	3	3	NUM
fumecheng-7612	433	3	2	2	NUM
fumecheng-7612	433	4	3	3	NUM
fumecheng-7612	433	5	1	1	NUM
fumecheng-7612	433	6	0	0	NUM
fumecheng-7612	433	7	0	0	NUM
fumecheng-7612	433	8	0	0	NUM
fumecheng-7612	433	9	2	2	NUM
fumecheng-7612	433	10	2	2	NUM
fumecheng-7612	433	11	2	2	NUM
fumecheng-7612	433	12	2	2	NUM
fumecheng-7612	433	13	2	2	NUM
fumecheng-7612	433	14	2	2	NUM
fumecheng-7612	433	15	20	20	NUM
fumecheng-7612	433	16	0	0	NUM
fumecheng-7612	433	17	0	0	NUM
fumecheng-7612	433	18	(	(	PUNCT
fumecheng-7612	433	19	(	(	PUNCT
fumecheng-7612	433	20	)	)	PUNCT
fumecheng-7612	433	21	(	(	PUNCT
fumecheng-7612	433	22	)	)	PUNCT
fumecheng-7612	433	23	)	)	PUNCT
fumecheng-7612	434	1	(	(	PUNCT
fumecheng-7612	434	2	)	)	PUNCT
fumecheng-7612	434	3	(	(	PUNCT
fumecheng-7612	434	4	)	)	PUNCT
fumecheng-7612	434	5	(	(	PUNCT
fumecheng-7612	434	6	)	)	PUNCT
fumecheng-7612	434	7	)	)	PUNCT
fumecheng-7612	435	1	l	l	NOUN
fumecheng-7612	435	2	l	l	NOUN
fumecheng-7612	435	3	l	l	NOUN
fumecheng-7612	435	4	l	l	X
fumecheng-7612	435	5	l	l	X
fumecheng-7612	435	6	l	l	X
fumecheng-7612	435	7	l	l	NOUN
fumecheng-7612	435	8	w	w	PUNCT
fumecheng-7612	435	9	x	x	X
fumecheng-7612	435	10	w	w	PROPN
fumecheng-7612	435	11	x	x	X
fumecheng-7612	435	12	dx	dx	PROPN
fumecheng-7612	435	13	h	h	PROPN
fumecheng-7612	435	14	w	w	PROPN
fumecheng-7612	436	1	x	x	PROPN
fumecheng-7612	436	2	w	w	PROPN
fumecheng-7612	436	3	x	x	X
fumecheng-7612	436	4	dx	dx	PROPN
fumecheng-7612	436	5	w	w	PROPN
fumecheng-7612	436	6	x	x	X
fumecheng-7612	436	7	dx−	dx−	PROPN
fumecheng-7612	436	8	+	+	CCONJ
fumecheng-7612	436	9			X
fumecheng-7612	436	10			X
fumecheng-7612	437	1			NOUN
fumecheng-7612	437	2			X
fumecheng-7612	438	1			X
fumecheng-7612	438	2			X
fumecheng-7612	438	3			X
fumecheng-7612	438	4	,	,	PUNCT
fumecheng-7612	438	5	(	(	PUNCT
fumecheng-7612	438	6	32	32	NUM
fumecheng-7612	438	7	)	)	PUNCT
fumecheng-7612	438	8	2	2	NUM
fumecheng-7612	438	9	22	22	NUM
fumecheng-7612	438	10	3	3	NUM
fumecheng-7612	438	11	2	2	NUM
fumecheng-7612	438	12	2	2	NUM
fumecheng-7612	438	13	(	(	PUNCT
fumecheng-7612	438	14	)	)	PUNCT
fumecheng-7612	438	15	(	(	PUNCT
fumecheng-7612	438	16	)	)	PUNCT
fumecheng-7612	438	17	free	free	ADJ
fumecheng-7612	438	18	freeq	freeq	ADJ
fumecheng-7612	438	19	t	t	PROPN
fumecheng-7612	438	20	g	g	PROPN
fumecheng-7612	439	1	h	h	PRON
fumecheng-7612	439	2	q	q	NOUN
fumecheng-7612	439	3	t=	t=	NOUN
fumecheng-7612	440	1	+	+	CCONJ
fumecheng-7612	441	1			PROPN
fumecheng-7612	441	2	,	,	PUNCT
fumecheng-7612	441	3	(	(	PUNCT
fumecheng-7612	441	4	33	33	NUM
fumecheng-7612	441	5	)	)	SYM
fumecheng-7612	441	6	2	2	NUM
fumecheng-7612	441	7	1	1	NUM
fumecheng-7612	441	8	2	2	NUM
fumecheng-7612	441	9	1	1	NUM
fumecheng-7612	441	10	21	21	NUM
fumecheng-7612	441	11	2	2	NUM
fumecheng-7612	441	12	2	2	NUM
fumecheng-7612	441	13	1	1	NUM
fumecheng-7612	441	14	33	33	NUM
fumecheng-7612	441	15	1	1	NUM
fumecheng-7612	441	16	2	2	NUM
fumecheng-7612	441	17	2	2	NUM
fumecheng-7612	441	18	1	1	NUM
fumecheng-7612	441	19	2	2	NUM
fumecheng-7612	441	20	2	2	NUM
fumecheng-7612	441	21	2	2	NUM
fumecheng-7612	441	22	20	20	NUM
fumecheng-7612	441	23	0	0	NUM
fumecheng-7612	441	24	2	2	NUM
fumecheng-7612	441	25	2	2	NUM
fumecheng-7612	441	26	20	20	NUM
fumecheng-7612	441	27	2	2	NUM
fumecheng-7612	441	28	20	20	NUM
fumecheng-7612	441	29	(	(	PUNCT
fumecheng-7612	441	30	)	)	PUNCT
fumecheng-7612	441	31	(	(	PUNCT
fumecheng-7612	441	32	(	(	PUNCT
fumecheng-7612	441	33	)	)	PUNCT
fumecheng-7612	441	34	(	(	PUNCT
fumecheng-7612	441	35	,	,	PUNCT
fumecheng-7612	441	36	)	)	PUNCT
fumecheng-7612	441	37	(	(	PUNCT
fumecheng-7612	441	38	)	)	PUNCT
fumecheng-7612	441	39	(	(	PUNCT
fumecheng-7612	441	40	)	)	PUNCT
fumecheng-7612	441	41	(	(	PUNCT
fumecheng-7612	441	42	)	)	PUNCT
fumecheng-7612	441	43	1	1	NUM
fumecheng-7612	441	44	(	(	PUNCT
fumecheng-7612	441	45	)	)	PUNCT
fumecheng-7612	441	46	(	(	PUNCT
fumecheng-7612	441	47	)	)	PUNCT
fumecheng-7612	441	48	(	(	PUNCT
fumecheng-7612	441	49	)	)	PUNCT
fumecheng-7612	441	50	)	)	PUNCT
fumecheng-7612	442	1	(	(	PUNCT
fumecheng-7612	442	2	)	)	PUNCT
fumecheng-7612	442	3	l	l	NOUN
fumecheng-7612	442	4	l	l	X
fumecheng-7612	442	5	free	free	ADJ
fumecheng-7612	442	6	free	free	ADJ
fumecheng-7612	442	7	l	l	PROPN
fumecheng-7612	442	8	free	free	PROPN
fumecheng-7612	442	9	l	l	PROPN
fumecheng-7612	442	10	q	q	PROPN
fumecheng-7612	442	11	t	t	PROPN
fumecheng-7612	442	12	w	w	PROPN
fumecheng-7612	442	13	x	x	PROPN
fumecheng-7612	442	14	w	w	PROPN
fumecheng-7612	442	15	x	x	SYM
fumecheng-7612	442	16	t	t	PROPN
fumecheng-7612	442	17	q	q	PROPN
fumecheng-7612	442	18	t	t	PROPN
fumecheng-7612	442	19	w	w	PROPN
fumecheng-7612	442	20	x	x	PROPN
fumecheng-7612	442	21	w	w	PROPN
fumecheng-7612	442	22	x	x	X
fumecheng-7612	442	23	dx	dx	PROPN
fumecheng-7612	442	24	q	q	PROPN
fumecheng-7612	442	25	t	t	PROPN
fumecheng-7612	442	26	w	w	PROPN
fumecheng-7612	442	27	x	x	PROPN
fumecheng-7612	442	28	w	w	PROPN
fumecheng-7612	442	29	x	x	X
fumecheng-7612	442	30	dx	dx	PROPN
fumecheng-7612	442	31	w	w	PROPN
fumecheng-7612	442	32	x	x	X
fumecheng-7612	442	33	dx	dx	PROPN
fumecheng-7612	442	34	=	=	SYM
fumecheng-7612	442	35	−	−	PROPN
fumecheng-7612	442	36	−	−	PROPN
fumecheng-7612	442	37			NUM
fumecheng-7612	442	38			NOUN
fumecheng-7612	442	39			X
fumecheng-7612	442	40			X
fumecheng-7612	442	41			X
fumecheng-7612	442	42	,	,	PUNCT
fumecheng-7612	442	43	(	(	PUNCT
fumecheng-7612	442	44	34	34	NUM
fumecheng-7612	442	45	)	)	PUNCT
fumecheng-7612	442	46	where	where	SCONJ
fumecheng-7612	442	47	792	792	NUM
fumecheng-7612	442	48	p.	p.	NOUN
fumecheng-7612	442	49	wang	wang	PROPN
fumecheng-7612	442	50	,	,	PUNCT
fumecheng-7612	442	51	n.	n.	PROPN
fumecheng-7612	442	52	wu	wu	PROPN
fumecheng-7612	442	53	,	,	PUNCT
fumecheng-7612	442	54	h.	h.	PROPN
fumecheng-7612	442	55	luo	luo	PROPN
fumecheng-7612	442	56	,	,	PUNCT
fumecheng-7612	442	57	z.	z.	PROPN
fumecheng-7612	442	58	sun	sun	PROPN
fumecheng-7612	443	1	1	1	NUM
fumecheng-7612	443	2	2	2	NUM
fumecheng-7612	443	3	1	1	NUM
fumecheng-7612	443	4	2	2	NUM
fumecheng-7612	443	5	1	1	NUM
fumecheng-7612	443	6	2	2	NUM
fumecheng-7612	443	7	1	1	NUM
fumecheng-7612	443	8	1	1	NUM
fumecheng-7612	443	9	2	2	NUM
fumecheng-7612	443	10	2	2	NUM
fumecheng-7612	443	11	2	2	NUM
fumecheng-7612	443	12	2	2	NUM
fumecheng-7612	443	13	1	1	NUM
fumecheng-7612	443	14	2	2	NUM
fumecheng-7612	443	15	2	2	NUM
fumecheng-7612	443	16	2	2	NUM
fumecheng-7612	443	17	2	2	NUM
fumecheng-7612	443	18	1	1	NUM
fumecheng-7612	443	19	20	20	NUM
fumecheng-7612	443	20	0	0	NUM
fumecheng-7612	443	21	0	0	NUM
fumecheng-7612	443	22	0	0	NUM
fumecheng-7612	443	23	2	2	NUM
fumecheng-7612	443	24	2	2	NUM
fumecheng-7612	443	25	2	2	NUM
fumecheng-7612	443	26	2	2	NUM
fumecheng-7612	443	27	2	2	NUM
fumecheng-7612	443	28	2	2	NUM
fumecheng-7612	443	29	20	20	NUM
fumecheng-7612	443	30	0	0	NUM
fumecheng-7612	443	31	0	0	NUM
fumecheng-7612	443	32	(	(	PUNCT
fumecheng-7612	443	33	)	)	PUNCT
fumecheng-7612	443	34	(	(	PUNCT
fumecheng-7612	443	35	)	)	PUNCT
fumecheng-7612	443	36	(	(	PUNCT
fumecheng-7612	443	37	,	,	PUNCT
fumecheng-7612	443	38	)	)	PUNCT
fumecheng-7612	443	39	(	(	PUNCT
fumecheng-7612	443	40	)	)	PUNCT
fumecheng-7612	443	41	(	(	PUNCT
fumecheng-7612	443	42	)	)	PUNCT
fumecheng-7612	443	43	(	(	PUNCT
fumecheng-7612	443	44	)	)	PUNCT
fumecheng-7612	443	45	(	(	PUNCT
fumecheng-7612	443	46	,	,	PUNCT
fumecheng-7612	443	47	)	)	PUNCT
fumecheng-7612	443	48	(	(	PUNCT
fumecheng-7612	443	49	)	)	PUNCT
fumecheng-7612	443	50	(	(	PUNCT
fumecheng-7612	443	51	)	)	PUNCT
fumecheng-7612	443	52	(	(	PUNCT
fumecheng-7612	443	53	(	(	PUNCT
fumecheng-7612	443	54	)	)	PUNCT
fumecheng-7612	443	55	(	(	PUNCT
fumecheng-7612	443	56	)	)	PUNCT
fumecheng-7612	443	57	)	)	PUNCT
fumecheng-7612	444	1	l	l	NOUN
fumecheng-7612	444	2	l	l	NOUN
fumecheng-7612	444	3	l	l	NOUN
fumecheng-7612	444	4	l	l	X
fumecheng-7612	444	5	l	l	X
fumecheng-7612	444	6	l	l	X
fumecheng-7612	444	7	l	l	NOUN
fumecheng-7612	444	8	w	w	PUNCT
fumecheng-7612	444	9	x	x	X
fumecheng-7612	444	10	dx	dx	PROPN
fumecheng-7612	444	11	w	w	PROPN
fumecheng-7612	444	12	x	x	PROPN
fumecheng-7612	444	13	w	w	PROPN
fumecheng-7612	444	14	x	x	SYM
fumecheng-7612	444	15	t	t	PROPN
fumecheng-7612	444	16	dx	dx	PROPN
fumecheng-7612	444	17	w	w	PROPN
fumecheng-7612	444	18	x	x	PROPN
fumecheng-7612	444	19	w	w	PROPN
fumecheng-7612	444	20	x	x	X
fumecheng-7612	444	21	dx	dx	PROPN
fumecheng-7612	444	22	w	w	PROPN
fumecheng-7612	444	23	x	x	PROPN
fumecheng-7612	444	24	w	w	PROPN
fumecheng-7612	444	25	x	x	SYM
fumecheng-7612	444	26	t	t	PROPN
fumecheng-7612	444	27	dx	dx	PROPN
fumecheng-7612	444	28	g	g	PROPN
fumecheng-7612	444	29	w	w	PROPN
fumecheng-7612	444	30	x	x	PROPN
fumecheng-7612	444	31	dx	dx	PROPN
fumecheng-7612	444	32	w	w	PROPN
fumecheng-7612	444	33	x	x	PROPN
fumecheng-7612	444	34	dx	dx	PROPN
fumecheng-7612	444	35	w	w	PROPN
fumecheng-7612	444	36	x	x	PROPN
fumecheng-7612	444	37	w	w	PROPN
fumecheng-7612	444	38	x	x	X
fumecheng-7612	444	39	dx	dx	PROPN
fumecheng-7612	444	40	−	−	PROPN
fumecheng-7612	444	41	=	=	PUNCT
fumecheng-7612	445	1	−	−	PROPN
fumecheng-7612	445	2			NOUN
fumecheng-7612	446	1			X
fumecheng-7612	446	2			X
fumecheng-7612	447	1			X
fumecheng-7612	447	2			X
fumecheng-7612	448	1			X
fumecheng-7612	448	2			X
fumecheng-7612	448	3	,	,	PUNCT
fumecheng-7612	448	4	(	(	PUNCT
fumecheng-7612	448	5	35	35	NUM
fumecheng-7612	448	6	)	)	SYM
fumecheng-7612	449	1	1	1	NUM
fumecheng-7612	449	2	2	2	NUM
fumecheng-7612	449	3	1	1	NUM
fumecheng-7612	449	4	3	3	NUM
fumecheng-7612	449	5	2	2	NUM
fumecheng-7612	449	6	3	3	NUM
fumecheng-7612	449	7	1	1	NUM
fumecheng-7612	449	8	2	2	NUM
fumecheng-7612	449	9	1	1	NUM
fumecheng-7612	449	10	1	1	NUM
fumecheng-7612	449	11	2	2	NUM
fumecheng-7612	449	12	2	2	NUM
fumecheng-7612	449	13	2	2	NUM
fumecheng-7612	449	14	2	2	NUM
fumecheng-7612	449	15	2	2	NUM
fumecheng-7612	449	16	2	2	NUM
fumecheng-7612	449	17	2	2	NUM
fumecheng-7612	449	18	2	2	NUM
fumecheng-7612	449	19	20	20	NUM
fumecheng-7612	449	20	0	0	NUM
fumecheng-7612	449	21	0	0	NUM
fumecheng-7612	449	22	0	0	NUM
fumecheng-7612	449	23	2	2	NUM
fumecheng-7612	449	24	2	2	NUM
fumecheng-7612	449	25	2	2	NUM
fumecheng-7612	449	26	2	2	NUM
fumecheng-7612	449	27	2	2	NUM
fumecheng-7612	449	28	2	2	NUM
fumecheng-7612	449	29	20	20	NUM
fumecheng-7612	449	30	0	0	NUM
fumecheng-7612	449	31	0	0	NUM
fumecheng-7612	449	32	(	(	PUNCT
fumecheng-7612	449	33	)	)	PUNCT
fumecheng-7612	449	34	(	(	PUNCT
fumecheng-7612	449	35	)	)	PUNCT
fumecheng-7612	449	36	(	(	PUNCT
fumecheng-7612	449	37	)	)	PUNCT
fumecheng-7612	449	38	(	(	PUNCT
fumecheng-7612	449	39	)	)	PUNCT
fumecheng-7612	449	40	(	(	PUNCT
fumecheng-7612	449	41	)	)	PUNCT
fumecheng-7612	449	42	(	(	PUNCT
fumecheng-7612	449	43	)	)	PUNCT
fumecheng-7612	449	44	(	(	PUNCT
fumecheng-7612	449	45	)	)	PUNCT
fumecheng-7612	449	46	(	(	PUNCT
fumecheng-7612	449	47	)	)	PUNCT
fumecheng-7612	449	48	(	(	PUNCT
fumecheng-7612	449	49	)	)	PUNCT
fumecheng-7612	449	50	(	(	PUNCT
fumecheng-7612	449	51	(	(	PUNCT
fumecheng-7612	449	52	)	)	PUNCT
fumecheng-7612	449	53	(	(	PUNCT
fumecheng-7612	449	54	)	)	PUNCT
fumecheng-7612	449	55	)	)	PUNCT
fumecheng-7612	450	1	l	l	NOUN
fumecheng-7612	450	2	l	l	NOUN
fumecheng-7612	450	3	l	l	NOUN
fumecheng-7612	450	4	l	l	X
fumecheng-7612	450	5	l	l	X
fumecheng-7612	450	6	l	l	X
fumecheng-7612	450	7	l	l	NOUN
fumecheng-7612	450	8	w	w	PUNCT
fumecheng-7612	450	9	x	x	X
fumecheng-7612	450	10	w	w	PROPN
fumecheng-7612	450	11	x	x	X
fumecheng-7612	450	12	dx	dx	PROPN
fumecheng-7612	450	13	w	w	PROPN
fumecheng-7612	450	14	x	x	PROPN
fumecheng-7612	450	15	w	w	PROPN
fumecheng-7612	450	16	x	x	X
fumecheng-7612	450	17	dx	dx	PROPN
fumecheng-7612	450	18	w	w	PROPN
fumecheng-7612	450	19	x	x	PROPN
fumecheng-7612	450	20	w	w	PROPN
fumecheng-7612	450	21	x	x	X
fumecheng-7612	450	22	dx	dx	PROPN
fumecheng-7612	450	23	w	w	PROPN
fumecheng-7612	450	24	x	x	X
fumecheng-7612	450	25	dx	dx	PROPN
fumecheng-7612	450	26	h	h	PROPN
fumecheng-7612	450	27	w	w	PROPN
fumecheng-7612	450	28	x	x	PROPN
fumecheng-7612	450	29	dx	dx	PROPN
fumecheng-7612	450	30	w	w	PROPN
fumecheng-7612	450	31	x	x	PROPN
fumecheng-7612	450	32	dx	dx	PROPN
fumecheng-7612	450	33	w	w	PROPN
fumecheng-7612	450	34	x	x	PROPN
fumecheng-7612	450	35	w	w	PROPN
fumecheng-7612	450	36	x	x	X
fumecheng-7612	450	37	dx	dx	PROPN
fumecheng-7612	450	38	−	−	PROPN
fumecheng-7612	450	39	=	=	PUNCT
fumecheng-7612	451	1	−	−	PROPN
fumecheng-7612	451	2			NOUN
fumecheng-7612	452	1			X
fumecheng-7612	452	2			X
fumecheng-7612	453	1			X
fumecheng-7612	453	2			X
fumecheng-7612	454	1			X
fumecheng-7612	454	2			X
fumecheng-7612	454	3	,	,	PUNCT
fumecheng-7612	454	4	(	(	PUNCT
fumecheng-7612	454	5	36	36	NUM
fumecheng-7612	454	6	)	)	PUNCT
fumecheng-7612	454	7	21	21	NUM
fumecheng-7612	454	8	2	2	NUM
fumecheng-7612	454	9	(	(	PUNCT
fumecheng-7612	454	10	)	)	PUNCT
fumecheng-7612	454	11	freeq	freeq	PROPN
fumecheng-7612	454	12	t	t	PROPN
fumecheng-7612	454	13	,	,	PUNCT
fumecheng-7612	454	14	22	22	NUM
fumecheng-7612	454	15	2	2	NUM
fumecheng-7612	454	16	(	(	PUNCT
fumecheng-7612	454	17	)	)	PUNCT
fumecheng-7612	454	18	freeq	freeq	ADP
fumecheng-7612	454	19	t	t	PROPN
fumecheng-7612	454	20	and	and	CCONJ
fumecheng-7612	454	21	23	23	NUM
fumecheng-7612	454	22	2	2	NUM
fumecheng-7612	454	23	(	(	PUNCT
fumecheng-7612	454	24	)	)	PUNCT
fumecheng-7612	454	25	freeq	freeq	ADJ
fumecheng-7612	454	26	t	t	PROPN
fumecheng-7612	454	27	are	be	AUX
fumecheng-7612	454	28	the	the	DET
fumecheng-7612	454	29	first	first	ADJ
fumecheng-7612	454	30	3	3	NUM
fumecheng-7612	454	31	-	-	PUNCT
fumecheng-7612	454	32	th	th	ADV
fumecheng-7612	454	33	generalized	generalize	VERB
fumecheng-7612	454	34	coordinates	coordinate	NOUN
fumecheng-7612	454	35	of	of	ADP
fumecheng-7612	454	36	free	free	ADJ
fumecheng-7612	454	37	vibration	vibration	NOUN
fumecheng-7612	454	38	at	at	ADP
fumecheng-7612	454	39	time	time	NOUN
fumecheng-7612	454	40	t2	t2	PROPN
fumecheng-7612	454	41	.	.	PUNCT
fumecheng-7612	455	1	we	we	PRON
fumecheng-7612	455	2	assume	assume	VERB
fumecheng-7612	455	3	the	the	DET
fumecheng-7612	455	4	free	free	ADJ
fumecheng-7612	455	5	vibration	vibration	NOUN
fumecheng-7612	455	6	response	response	NOUN
fumecheng-7612	455	7	function	function	NOUN
fumecheng-7612	455	8	during	during	ADP
fumecheng-7612	455	9	time	time	NOUN
fumecheng-7612	455	10	t2	t2	PROPN
fumecheng-7612	455	11	-	-	PUNCT
fumecheng-7612	455	12	t3	t3	NOUN
fumecheng-7612	455	13	to	to	PART
fumecheng-7612	455	14	be	be	AUX
fumecheng-7612	455	15	,	,	PUNCT
fumecheng-7612	455	16	2	2	NUM
fumecheng-7612	455	17	2	2	NUM
fumecheng-7612	455	18	2	2	NUM
fumecheng-7612	455	19	2	2	NUM
fumecheng-7612	455	20	1	1	NUM
fumecheng-7612	455	21	2	2	NUM
fumecheng-7612	455	22	2	2	NUM
fumecheng-7612	455	23	2	2	NUM
fumecheng-7612	455	24	2	2	NUM
fumecheng-7612	455	25	2	2	NUM
fumecheng-7612	455	26	1	1	NUM
fumecheng-7612	455	27	(	(	PUNCT
fumecheng-7612	455	28	,	,	PUNCT
fumecheng-7612	455	29	)	)	PUNCT
fumecheng-7612	455	30	(	(	PUNCT
fumecheng-7612	455	31	)	)	PUNCT
fumecheng-7612	455	32	(	(	PUNCT
fumecheng-7612	455	33	)	)	PUNCT
fumecheng-7612	455	34	=	=	SYM
fumecheng-7612	455	35	(	(	PUNCT
fumecheng-7612	455	36	)	)	PUNCT
fumecheng-7612	455	37	(	(	PUNCT
fumecheng-7612	455	38	cos	cos	X
fumecheng-7612	455	39	sin	sin	PROPN
fumecheng-7612	455	40	)	)	PUNCT
fumecheng-7612	456	1	i	i	PRON
fumecheng-7612	456	2	i	i	PRON
fumecheng-7612	457	1	i	i	PRON
fumecheng-7612	457	2	i	i	PRON
fumecheng-7612	458	1	i	i	PRON
fumecheng-7612	458	2	i	i	PRON
fumecheng-7612	459	1	i	i	PRON
fumecheng-7612	459	2	i	i	PRON
fumecheng-7612	460	1	i	i	PRON
fumecheng-7612	460	2	free	free	VERB
fumecheng-7612	460	3	free	free	ADV
fumecheng-7612	461	1	i	i	PRON
fumecheng-7612	461	2	t	t	VERB
fumecheng-7612	462	1	i	i	PRON
fumecheng-7612	462	2	w	w	PROPN
fumecheng-7612	462	3	x	x	X
fumecheng-7612	462	4	t	t	PROPN
fumecheng-7612	462	5	w	w	NOUN
fumecheng-7612	462	6	x	x	X
fumecheng-7612	462	7	q	q	PROPN
fumecheng-7612	462	8	t	t	PROPN
fumecheng-7612	462	9	w	w	PROPN
fumecheng-7612	462	10	x	x	PROPN
fumecheng-7612	462	11	e	e	X
fumecheng-7612	462	12	a	a	PROPN
fumecheng-7612	462	13	t	t	PROPN
fumecheng-7612	462	14	b	b	PROPN
fumecheng-7612	462	15	t	t	PROPN
fumecheng-7612	462	16			NOUN
fumecheng-7612	462	17			X
fumecheng-7612	462	18			X
fumecheng-7612	462	19			X
fumecheng-7612	462	20			X
fumecheng-7612	462	21	=	=	SYM
fumecheng-7612	462	22			NOUN
fumecheng-7612	462	23	−	−	NOUN
fumecheng-7612	463	1	=	=	SYM
fumecheng-7612	464	1	=	=	PUNCT
fumecheng-7612	465	1			PROPN
fumecheng-7612	465	2			VERB
fumecheng-7612	465	3	+	+	CCONJ
fumecheng-7612	465	4			X
fumecheng-7612	465	5			X
fumecheng-7612	465	6	(	(	PUNCT
fumecheng-7612	465	7	2	2	NUM
fumecheng-7612	465	8	3	3	NUM
fumecheng-7612	465	9	t	t	NOUN
fumecheng-7612	465	10	t	t	PROPN
fumecheng-7612	465	11	t	t	NOUN
fumecheng-7612	465	12			PROPN
fumecheng-7612	465	13	)	)	PUNCT
fumecheng-7612	465	14	,	,	PUNCT
fumecheng-7612	465	15	(	(	PUNCT
fumecheng-7612	465	16	37	37	NUM
fumecheng-7612	465	17	)	)	PUNCT
fumecheng-7612	465	18	where	where	SCONJ
fumecheng-7612	465	19	a2i	a2i	NOUN
fumecheng-7612	465	20	and	and	CCONJ
fumecheng-7612	465	21	b2i	b2i	PROPN
fumecheng-7612	465	22	here	here	ADV
fumecheng-7612	465	23	are	be	AUX
fumecheng-7612	465	24	determined	determine	VERB
fumecheng-7612	465	25	by	by	ADP
fumecheng-7612	465	26	the	the	DET
fumecheng-7612	465	27	initial	initial	ADJ
fumecheng-7612	465	28	conditions	condition	NOUN
fumecheng-7612	465	29	of	of	ADP
fumecheng-7612	465	30	the	the	DET
fumecheng-7612	465	31	current	current	ADJ
fumecheng-7612	465	32	iteration	iteration	NOUN
fumecheng-7612	465	33	step	step	NOUN
fumecheng-7612	465	34	at	at	ADP
fumecheng-7612	465	35	t	t	PROPN
fumecheng-7612	465	36	=	=	SYM
fumecheng-7612	465	37	t2	t2	NOUN
fumecheng-7612	465	38	,	,	PUNCT
fumecheng-7612	465	39	2	2	NUM
fumecheng-7612	465	40	2	2	NUM
fumecheng-7612	465	41	(	(	PUNCT
fumecheng-7612	465	42	)	)	PUNCT
fumecheng-7612	466	1	i	i	PRON
fumecheng-7612	466	2	freeq	freeq	ADV
fumecheng-7612	466	3	t	t	PROPN
fumecheng-7612	466	4	and	and	CCONJ
fumecheng-7612	466	5	2	2	NUM
fumecheng-7612	466	6	2	2	NUM
fumecheng-7612	466	7	(	(	PUNCT
fumecheng-7612	466	8	)	)	PUNCT
fumecheng-7612	466	9	i	i	PRON
fumecheng-7612	466	10	free	free	VERB
fumecheng-7612	466	11	t	t	PROPN
fumecheng-7612	466	12	t	t	PROPN
fumecheng-7612	466	13	dq	dq	PROPN
fumecheng-7612	466	14	t	t	PROPN
fumecheng-7612	466	15	dt	dt	PROPN
fumecheng-7612	467	1	=	=	SYM
fumecheng-7612	467	2	,	,	PUNCT
fumecheng-7612	467	3	which	which	PRON
fumecheng-7612	467	4	can	can	AUX
fumecheng-7612	467	5	be	be	AUX
fumecheng-7612	467	6	obtained	obtain	VERB
fumecheng-7612	467	7	from	from	ADP
fumecheng-7612	467	8	eqs	eqs	PROPN
fumecheng-7612	467	9	.	.	PUNCT
fumecheng-7612	468	1	(	(	PUNCT
fumecheng-7612	468	2	32	32	NUM
fumecheng-7612	468	3	-	-	SYM
fumecheng-7612	468	4	36	36	NUM
fumecheng-7612	468	5	)	)	PUNCT
fumecheng-7612	468	6	.	.	PUNCT
fumecheng-7612	469	1	2	2	NUM
fumecheng-7612	469	2	2	2	NUM
fumecheng-7612	469	3	2	2	NUM
fumecheng-7612	469	4	2	2	NUM
fumecheng-7612	469	5	22	22	NUM
fumecheng-7612	469	6	2	2	NUM
fumecheng-7612	469	7	2	2	NUM
fumecheng-7612	469	8	2	2	NUM
fumecheng-7612	469	9	2	2	NUM
fumecheng-7612	469	10	(	(	PUNCT
fumecheng-7612	469	11	cos	cos	X
fumecheng-7612	469	12	sin	sin	NOUN
fumecheng-7612	469	13	)	)	PUNCT
fumecheng-7612	469	14	(	(	PUNCT
fumecheng-7612	469	15	)	)	PUNCT
fumecheng-7612	470	1	i	i	PRON
fumecheng-7612	470	2	i	i	PRON
fumecheng-7612	471	1	i	i	PRON
fumecheng-7612	471	2	ii	ii	VERB
fumecheng-7612	472	1	i	i	PRON
fumecheng-7612	473	1	i	i	PRON
fumecheng-7612	473	2	t	t	NOUN
fumecheng-7612	474	1	d	d	X
fumecheng-7612	474	2	d	d	X
fumecheng-7612	474	3	freee	freee	VERB
fumecheng-7612	474	4	a	a	DET
fumecheng-7612	474	5	t	t	NOUN
fumecheng-7612	474	6	b	b	PROPN
fumecheng-7612	474	7	t	t	PROPN
fumecheng-7612	474	8	q	q	PROPN
fumecheng-7612	474	9	t	t	PROPN
fumecheng-7612	474	10			NOUN
fumecheng-7612	474	11			X
fumecheng-7612	474	12			X
fumecheng-7612	475	1			X
fumecheng-7612	475	2	−	−	PROPN
fumecheng-7612	476	1	+	+	CCONJ
fumecheng-7612	476	2	=	=	SYM
fumecheng-7612	476	3	;	;	PUNCT
fumecheng-7612	476	4	(	(	PUNCT
fumecheng-7612	476	5	38	38	NUM
fumecheng-7612	476	6	)	)	SYM
fumecheng-7612	476	7	2	2	NUM
fumecheng-7612	476	8	2	2	NUM
fumecheng-7612	476	9	2	2	NUM
fumecheng-7612	476	10	2	2	NUM
fumecheng-7612	476	11	2	2	NUM
fumecheng-7612	476	12	22	22	NUM
fumecheng-7612	476	13	2	2	NUM
fumecheng-7612	476	14	2	2	NUM
fumecheng-7612	476	15	2	2	NUM
fumecheng-7612	476	16	2	2	NUM
fumecheng-7612	476	17	2	2	NUM
fumecheng-7612	476	18	2	2	NUM
fumecheng-7612	476	19	2	2	NUM
fumecheng-7612	476	20	2	2	NUM
fumecheng-7612	476	21	2	2	NUM
fumecheng-7612	476	22	2	2	NUM
fumecheng-7612	476	23	2	2	NUM
fumecheng-7612	476	24	2	2	NUM
fumecheng-7612	476	25	2	2	NUM
fumecheng-7612	476	26	(	(	PUNCT
fumecheng-7612	476	27	cos	cos	X
fumecheng-7612	476	28	sin	sin	NOUN
fumecheng-7612	476	29	)	)	PUNCT
fumecheng-7612	476	30	(	(	PUNCT
fumecheng-7612	476	31	)	)	PUNCT
fumecheng-7612	476	32	(	(	PUNCT
fumecheng-7612	476	33	sin	sin	NOUN
fumecheng-7612	476	34	cos	cos	PROPN
fumecheng-7612	476	35	)	)	PUNCT
fumecheng-7612	477	1	i	i	PRON
fumecheng-7612	477	2	i	i	PRON
fumecheng-7612	478	1	i	i	PRON
fumecheng-7612	478	2	ii	ii	VERB
fumecheng-7612	479	1	i	i	PRON
fumecheng-7612	479	2	i	i	PRON
fumecheng-7612	480	1	i	i	PRON
fumecheng-7612	480	2	ii	ii	VERB
fumecheng-7612	481	1	i	i	PRON
fumecheng-7612	481	2	ii	ii	VERB
fumecheng-7612	482	1	i	i	PRON
fumecheng-7612	483	1	i	i	PRON
fumecheng-7612	483	2	t	t	NOUN
fumecheng-7612	484	1	d	d	NOUN
fumecheng-7612	484	2	d	d	X
fumecheng-7612	484	3	i	i	PRON
fumecheng-7612	484	4	d	d	VERB
fumecheng-7612	484	5	freet	freet	VERB
fumecheng-7612	485	1	d	d	X
fumecheng-7612	485	2	d	d	NOUN
fumecheng-7612	486	1	i	i	NOUN
fumecheng-7612	487	1	d	d	NOUN
fumecheng-7612	487	2	t	t	PROPN
fumecheng-7612	487	3	t	t	PROPN
fumecheng-7612	487	4	t	t	PROPN
fumecheng-7612	487	5	t	t	PROPN
fumecheng-7612	487	6	e	e	X
fumecheng-7612	487	7	b	b	PROPN
fumecheng-7612	487	8	dq	dq	INTJ
fumecheng-7612	487	9	t	t	PROPN
fumecheng-7612	487	10	t	t	PROPN
fumecheng-7612	487	11	t	t	PROPN
fumecheng-7612	487	12	e	e	NOUN
fumecheng-7612	487	13	a	a	DET
fumecheng-7612	487	14	dt	dt	NOUN
fumecheng-7612	487	15			NOUN
fumecheng-7612	487	16			X
fumecheng-7612	487	17			NOUN
fumecheng-7612	487	18			X
fumecheng-7612	487	19			X
fumecheng-7612	487	20			X
fumecheng-7612	487	21			NOUN
fumecheng-7612	487	22			X
fumecheng-7612	487	23			X
fumecheng-7612	487	24			X
fumecheng-7612	487	25			X
fumecheng-7612	487	26			NOUN
fumecheng-7612	487	27			X
fumecheng-7612	487	28			X
fumecheng-7612	487	29	−	−	NOUN
fumecheng-7612	487	30	−	−	PROPN
fumecheng-7612	488	1	=	=	PUNCT
fumecheng-7612	489	1	−	−	PROPN
fumecheng-7612	489	2	−	−	PROPN
fumecheng-7612	490	1	+	+	CCONJ
fumecheng-7612	490	2	=	=	SYM
fumecheng-7612	490	3	;	;	PUNCT
fumecheng-7612	490	4	(	(	PUNCT
fumecheng-7612	490	5	39	39	NUM
fumecheng-7612	490	6	)	)	PUNCT
fumecheng-7612	490	7	a2i	a2i	NOUN
fumecheng-7612	490	8	and	and	CCONJ
fumecheng-7612	490	9	b2i	b2i	PROPN
fumecheng-7612	490	10	can	can	AUX
fumecheng-7612	490	11	hence	hence	ADV
fumecheng-7612	490	12	be	be	AUX
fumecheng-7612	490	13	obtained	obtain	VERB
fumecheng-7612	490	14	by	by	ADP
fumecheng-7612	490	15	the	the	DET
fumecheng-7612	490	16	above	above	ADJ
fumecheng-7612	490	17	formula	formula	NOUN
fumecheng-7612	490	18	,	,	PUNCT
fumecheng-7612	490	19	22	22	NUM
fumecheng-7612	490	20	2	2	NUM
fumecheng-7612	490	21	2	2	NUM
fumecheng-7612	490	22	2	2	NUM
fumecheng-7612	490	23	2	2	NUM
fumecheng-7612	490	24	2	2	NUM
fumecheng-7612	490	25	2	2	NUM
fumecheng-7612	490	26	2	2	NUM
fumecheng-7612	490	27	2	2	NUM
fumecheng-7612	490	28	2	2	NUM
fumecheng-7612	490	29	2	2	NUM
fumecheng-7612	490	30	2	2	NUM
fumecheng-7612	490	31	2	2	NUM
fumecheng-7612	490	32	2	2	NUM
fumecheng-7612	490	33	2	2	NUM
fumecheng-7612	490	34	(	(	PUNCT
fumecheng-7612	490	35	)	)	PUNCT
fumecheng-7612	490	36	(	(	PUNCT
fumecheng-7612	490	37	(	(	PUNCT
fumecheng-7612	490	38	(	(	PUNCT
fumecheng-7612	490	39	)	)	PUNCT
fumecheng-7612	490	40	)	)	PUNCT
fumecheng-7612	491	1	cos	cos	PROPN
fumecheng-7612	491	2	(	(	PUNCT
fumecheng-7612	491	3	)	)	PUNCT
fumecheng-7612	491	4	(	(	PUNCT
fumecheng-7612	491	5	)	)	PUNCT
fumecheng-7612	491	6	sin	sin	NOUN
fumecheng-7612	491	7	(	(	PUNCT
fumecheng-7612	491	8	)	)	PUNCT
fumecheng-7612	491	9	)	)	PUNCT
fumecheng-7612	492	1	=	=	PUNCT
fumecheng-7612	493	1	i	i	PRON
fumecheng-7612	493	2	ii	ii	VERB
fumecheng-7612	494	1	i	i	PRON
fumecheng-7612	494	2	i	i	PRON
fumecheng-7612	495	1	i	i	PRON
fumecheng-7612	495	2	i	i	PRON
fumecheng-7612	496	1	i	i	PRON
fumecheng-7612	496	2	i	i	PRON
fumecheng-7612	497	1	i	i	PRON
fumecheng-7612	497	2	i	i	PRON
fumecheng-7612	497	3	freet	freet	VERB
fumecheng-7612	497	4	i	i	PRON
fumecheng-7612	497	5	free	free	VERB
fumecheng-7612	497	6	d	d	X
fumecheng-7612	497	7	d	d	X
fumecheng-7612	497	8	free	free	PROPN
fumecheng-7612	497	9	d	d	PROPN
fumecheng-7612	497	10	t	t	PROPN
fumecheng-7612	497	11	t	t	PROPN
fumecheng-7612	497	12	d	d	X
fumecheng-7612	497	13	q	q	PROPN
fumecheng-7612	497	14	t	t	PROPN
fumecheng-7612	497	15	e	e	X
fumecheng-7612	497	16	q	q	PROPN
fumecheng-7612	497	17	t	t	PROPN
fumecheng-7612	497	18	t	t	PROPN
fumecheng-7612	497	19	q	q	PROPN
fumecheng-7612	497	20	t	t	PROPN
fumecheng-7612	497	21	t	t	PROPN
fumecheng-7612	497	22	dt	dt	X
fumecheng-7612	498	1	b	b	X
fumecheng-7612	498	2			NOUN
fumecheng-7612	498	3			X
fumecheng-7612	498	4			NOUN
fumecheng-7612	498	5			X
fumecheng-7612	498	6			X
fumecheng-7612	498	7			X
fumecheng-7612	498	8			X
fumecheng-7612	498	9			X
fumecheng-7612	498	10	=	=	PUNCT
fumecheng-7612	498	11			PROPN
fumecheng-7612	498	12	+	+	CCONJ
fumecheng-7612	498	13	+	+	CCONJ
fumecheng-7612	498	14	;	;	PUNCT
fumecheng-7612	498	15	(	(	PUNCT
fumecheng-7612	498	16	40	40	NUM
fumecheng-7612	498	17	)	)	SYM
fumecheng-7612	498	18	2	2	NUM
fumecheng-7612	498	19	2	2	NUM
fumecheng-7612	498	20	2	2	NUM
fumecheng-7612	498	21	2	2	NUM
fumecheng-7612	498	22	2	2	NUM
fumecheng-7612	498	23	2	2	NUM
fumecheng-7612	498	24	2	2	NUM
fumecheng-7612	498	25	2	2	NUM
fumecheng-7612	498	26	2	2	NUM
fumecheng-7612	498	27	2	2	NUM
fumecheng-7612	498	28	(	(	PUNCT
fumecheng-7612	498	29	)	)	PUNCT
fumecheng-7612	498	30	sin	sin	NOUN
fumecheng-7612	498	31	(	(	PUNCT
fumecheng-7612	498	32	)	)	PUNCT
fumecheng-7612	498	33	=	=	SYM
fumecheng-7612	498	34	cos	cos	PROPN
fumecheng-7612	498	35	(	(	PUNCT
fumecheng-7612	498	36	)	)	PUNCT
fumecheng-7612	498	37	i	i	PRON
fumecheng-7612	499	1	i	i	PRON
fumecheng-7612	499	2	ii	ii	VERB
fumecheng-7612	500	1	i	i	PRON
fumecheng-7612	500	2	i	i	PRON
fumecheng-7612	501	1	i	i	PRON
fumecheng-7612	501	2	t	t	VERB
fumecheng-7612	501	3	free	free	ADJ
fumecheng-7612	502	1	d	d	PROPN
fumecheng-7612	502	2	d	d	X
fumecheng-7612	502	3	q	q	PROPN
fumecheng-7612	502	4	t	t	PROPN
fumecheng-7612	502	5	e	e	PROPN
fumecheng-7612	502	6	b	b	PROPN
fumecheng-7612	502	7	t	t	PROPN
fumecheng-7612	502	8	a	a	DET
fumecheng-7612	502	9	t	t	NOUN
fumecheng-7612	502	10			NOUN
fumecheng-7612	502	11			X
fumecheng-7612	502	12			X
fumecheng-7612	502	13			X
fumecheng-7612	502	14			PROPN
fumecheng-7612	502	15	−	−	PROPN
fumecheng-7612	502	16	;	;	PUNCT
fumecheng-7612	502	17	(	(	PUNCT
fumecheng-7612	502	18	41	41	NUM
fumecheng-7612	502	19	)	)	PUNCT
fumecheng-7612	502	20	when	when	SCONJ
fumecheng-7612	502	21	kl	kl	X
fumecheng-7612	502	22	changes	change	VERB
fumecheng-7612	502	23	from	from	ADP
fumecheng-7612	502	24	the	the	DET
fumecheng-7612	502	25	previous	previous	ADJ
fumecheng-7612	502	26	iteration	iteration	NOUN
fumecheng-7612	502	27	,	,	PUNCT
fumecheng-7612	502	28	during	during	ADP
fumecheng-7612	502	29	the	the	DET
fumecheng-7612	502	30	second	second	ADJ
fumecheng-7612	502	31	time	time	NOUN
fumecheng-7612	502	32	step	step	NOUN
fumecheng-7612	502	33	,	,	PUNCT
fumecheng-7612	502	34	t2	t2	NOUN
fumecheng-7612	502	35	-	-	PUNCT
fumecheng-7612	502	36	t3	t3	NOUN
fumecheng-7612	502	37	,	,	PUNCT
fumecheng-7612	502	38	the	the	DET
fumecheng-7612	502	39	total	total	ADJ
fumecheng-7612	502	40	vibration	vibration	NOUN
fumecheng-7612	502	41	response	response	NOUN
fumecheng-7612	502	42	is	be	AUX
fumecheng-7612	502	43	hence	hence	ADV
fumecheng-7612	502	44	,	,	PUNCT
fumecheng-7612	502	45	study	study	VERB
fumecheng-7612	502	46	on	on	ADP
fumecheng-7612	502	47	vibration	vibration	NOUN
fumecheng-7612	502	48	response	response	NOUN
fumecheng-7612	502	49	of	of	ADP
fumecheng-7612	502	50	a	a	DET
fumecheng-7612	502	51	non	non	ADJ
fumecheng-7612	502	52	-	-	ADJ
fumecheng-7612	502	53	uniform	uniform	ADJ
fumecheng-7612	502	54	beam	beam	NOUN
fumecheng-7612	502	55	with	with	ADP
fumecheng-7612	502	56	nonlinear	nonlinear	ADJ
fumecheng-7612	502	57	boundary	boundary	ADJ
fumecheng-7612	502	58	condition	condition	NOUN
fumecheng-7612	502	59	793	793	NUM
fumecheng-7612	502	60	2	2	NUM
fumecheng-7612	502	61	2	2	NUM
fumecheng-7612	502	62	2	2	NUM
fumecheng-7612	502	63	2	2	NUM
fumecheng-7612	502	64	2	2	NUM
fumecheng-7612	502	65	2	2	NUM
fumecheng-7612	502	66	2	2	NUM
fumecheng-7612	502	67	2	2	NUM
fumecheng-7612	502	68	2	2	NUM
fumecheng-7612	502	69	2	2	NUM
fumecheng-7612	502	70	2	2	NUM
fumecheng-7612	502	71	2	2	NUM
fumecheng-7612	502	72	2	2	NUM
fumecheng-7612	502	73	2	2	NUM
fumecheng-7612	502	74	1	1	NUM
fumecheng-7612	502	75	1	1	NUM
fumecheng-7612	502	76	2	2	NUM
fumecheng-7612	502	77	2	2	NUM
fumecheng-7612	502	78	2	2	NUM
fumecheng-7612	502	79	1	1	NUM
fumecheng-7612	502	80	(	(	PUNCT
fumecheng-7612	502	81	)	)	PUNCT
fumecheng-7612	503	1	2	2	NUM
fumecheng-7612	503	2	2	2	NUM
fumecheng-7612	503	3	20	20	NUM
fumecheng-7612	503	4	(	(	PUNCT
fumecheng-7612	503	5	,	,	PUNCT
fumecheng-7612	503	6	)	)	PUNCT
fumecheng-7612	503	7	(	(	PUNCT
fumecheng-7612	503	8	)	)	PUNCT
fumecheng-7612	503	9	(	(	PUNCT
fumecheng-7612	503	10	)	)	PUNCT
fumecheng-7612	503	11	=	=	SYM
fumecheng-7612	503	12	(	(	PUNCT
fumecheng-7612	503	13	)	)	PUNCT
fumecheng-7612	503	14	(	(	PUNCT
fumecheng-7612	503	15	(	(	PUNCT
fumecheng-7612	503	16	)	)	PUNCT
fumecheng-7612	503	17	+	+	NUM
fumecheng-7612	503	18	(	(	PUNCT
fumecheng-7612	503	19	)	)	PUNCT
fumecheng-7612	503	20	)	)	PUNCT
fumecheng-7612	504	1	=	=	PRON
fumecheng-7612	504	2	(	(	PUNCT
fumecheng-7612	504	3	)	)	PUNCT
fumecheng-7612	504	4	(	(	PUNCT
fumecheng-7612	504	5	(	(	PUNCT
fumecheng-7612	504	6	cos	cos	X
fumecheng-7612	504	7	sin	sin	NOUN
fumecheng-7612	504	8	)	)	PUNCT
fumecheng-7612	504	9	1	1	NUM
fumecheng-7612	504	10	(	(	PUNCT
fumecheng-7612	504	11	)	)	PUNCT
fumecheng-7612	504	12	sin	sin	NOUN
fumecheng-7612	504	13	(	(	PUNCT
fumecheng-7612	504	14	(	(	PUNCT
fumecheng-7612	504	15	)	)	PUNCT
fumecheng-7612	504	16	)	)	PUNCT
fumecheng-7612	504	17	)	)	PUNCT
fumecheng-7612	505	1	i	i	PRON
fumecheng-7612	505	2	i	i	PRON
fumecheng-7612	506	1	i	i	PRON
fumecheng-7612	506	2	i	i	PRON
fumecheng-7612	507	1	i	i	PRON
fumecheng-7612	507	2	i	i	PRON
fumecheng-7612	508	1	i	i	PRON
fumecheng-7612	508	2	i	i	PRON
fumecheng-7612	509	1	i	i	PRON
fumecheng-7612	509	2	ii	ii	VERB
fumecheng-7612	510	1	i	i	PRON
fumecheng-7612	510	2	i	i	PRON
fumecheng-7612	511	1	i	i	PRON
fumecheng-7612	511	2	i	i	PRON
fumecheng-7612	512	1	i	i	PRON
fumecheng-7612	512	2	i	i	PRON
fumecheng-7612	512	3	free	free	VERB
fumecheng-7612	512	4	force	force	NOUN
fumecheng-7612	513	1	i	i	PRON
fumecheng-7612	513	2	i	i	PRON
fumecheng-7612	513	3	t	t	NOUN
fumecheng-7612	514	1	d	d	NOUN
fumecheng-7612	515	1	d	d	X
fumecheng-7612	516	1	i	i	PRON
fumecheng-7612	517	1	t	t	NOUN
fumecheng-7612	518	1	t	t	PROPN
fumecheng-7612	519	1	t	t	PROPN
fumecheng-7612	519	2	t	t	PROPN
fumecheng-7612	520	1	d	d	X
fumecheng-7612	520	2	d	d	X
fumecheng-7612	520	3	w	w	PROPN
fumecheng-7612	520	4	x	x	X
fumecheng-7612	520	5	t	t	PROPN
fumecheng-7612	520	6	w	w	NOUN
fumecheng-7612	520	7	x	x	X
fumecheng-7612	520	8	q	q	PROPN
fumecheng-7612	520	9	t	t	PROPN
fumecheng-7612	520	10	w	w	PROPN
fumecheng-7612	520	11	x	x	X
fumecheng-7612	520	12	q	q	PROPN
fumecheng-7612	520	13	t	t	PROPN
fumecheng-7612	520	14	q	q	PROPN
fumecheng-7612	520	15	t	t	PROPN
fumecheng-7612	520	16	w	w	PROPN
fumecheng-7612	520	17	x	x	PROPN
fumecheng-7612	520	18	e	e	X
fumecheng-7612	520	19	a	a	PROPN
fumecheng-7612	520	20	t	t	PROPN
fumecheng-7612	520	21	b	b	PROPN
fumecheng-7612	520	22	t	t	PROPN
fumecheng-7612	520	23	f	f	PROPN
fumecheng-7612	520	24	t	t	PROPN
fumecheng-7612	520	25	e	e	PROPN
fumecheng-7612	520	26	t	t	PROPN
fumecheng-7612	520	27	t	t	PROPN
fumecheng-7612	521	1	d	d	NOUN
fumecheng-7612	521	2			NOUN
fumecheng-7612	521	3			X
fumecheng-7612	521	4			NOUN
fumecheng-7612	521	5			X
fumecheng-7612	521	6			NOUN
fumecheng-7612	521	7			X
fumecheng-7612	521	8			X
fumecheng-7612	521	9			NOUN
fumecheng-7612	521	10			PROPN
fumecheng-7612	521	11			NOUN
fumecheng-7612	521	12			VERB
fumecheng-7612	521	13			X
fumecheng-7612	521	14			VERB
fumecheng-7612	521	15			NOUN
fumecheng-7612	521	16	=	=	SYM
fumecheng-7612	521	17	=	=	SYM
fumecheng-7612	521	18			VERB
fumecheng-7612	521	19	−	−	PUNCT
fumecheng-7612	521	20	=	=	SYM
fumecheng-7612	521	21	−	−	PROPN
fumecheng-7612	521	22	−	−	NOUN
fumecheng-7612	521	23	−	−	NOUN
fumecheng-7612	522	1	=	=	SYM
fumecheng-7612	523	1			PROPN
fumecheng-7612	523	2	+	+	SYM
fumecheng-7612	523	3	+	+	PUNCT
fumecheng-7612	523	4	+	+	CCONJ
fumecheng-7612	523	5			ADJ
fumecheng-7612	523	6			ADJ
fumecheng-7612	523	7			PROPN
fumecheng-7612	523	8	−	−	PROPN
fumecheng-7612	523	9	−	−	PROPN
fumecheng-7612	523	10			X
fumecheng-7612	523	11			X
fumecheng-7612	523	12			X
fumecheng-7612	523	13			PUNCT
fumecheng-7612	524	1	(	(	PUNCT
fumecheng-7612	524	2	2	2	NUM
fumecheng-7612	524	3	3	3	NUM
fumecheng-7612	524	4	t	t	NOUN
fumecheng-7612	524	5	t	t	PROPN
fumecheng-7612	524	6	t	t	NOUN
fumecheng-7612	524	7			PROPN
fumecheng-7612	524	8	)	)	PUNCT
fumecheng-7612	524	9	.	.	PUNCT
fumecheng-7612	525	1	(	(	PUNCT
fumecheng-7612	525	2	42	42	NUM
fumecheng-7612	525	3	)	)	PUNCT
fumecheng-7612	525	4	for	for	ADP
fumecheng-7612	525	5	general	general	ADJ
fumecheng-7612	525	6	vibration	vibration	NOUN
fumecheng-7612	525	7	solution	solution	NOUN
fumecheng-7612	525	8	during	during	ADP
fumecheng-7612	525	9	the	the	DET
fumecheng-7612	525	10	iteration	iteration	NOUN
fumecheng-7612	525	11	,	,	PUNCT
fumecheng-7612	525	12	when	when	SCONJ
fumecheng-7612	525	13	the	the	DET
fumecheng-7612	525	14	time	time	NOUN
fumecheng-7612	525	15	is	be	AUX
fumecheng-7612	525	16	tn	tn	NOUN
fumecheng-7612	525	17	-	-	PUNCT
fumecheng-7612	525	18	tn+1	tn+1	NOUN
fumecheng-7612	525	19	,	,	PUNCT
fumecheng-7612	525	20	if	if	SCONJ
fumecheng-7612	525	21	the	the	DET
fumecheng-7612	525	22	value	value	NOUN
fumecheng-7612	525	23	of	of	ADP
fumecheng-7612	525	24	kl	kl	PROPN
fumecheng-7612	525	25	is	be	AUX
fumecheng-7612	525	26	equal	equal	ADJ
fumecheng-7612	525	27	to	to	ADP
fumecheng-7612	525	28	the	the	DET
fumecheng-7612	525	29	one	one	NOUN
fumecheng-7612	525	30	in	in	ADP
fumecheng-7612	525	31	previous	previous	ADJ
fumecheng-7612	525	32	period	period	NOUN
fumecheng-7612	525	33	tn-1	tn-1	NOUN
fumecheng-7612	525	34	-	-	NOUN
fumecheng-7612	525	35	tn	tn	PROPN
fumecheng-7612	525	36	,	,	PUNCT
fumecheng-7612	525	37	the	the	DET
fumecheng-7612	525	38	total	total	ADJ
fumecheng-7612	525	39	vibration	vibration	NOUN
fumecheng-7612	525	40	response	response	NOUN
fumecheng-7612	525	41	is	be	AUX
fumecheng-7612	525	42	hence	hence	ADV
fumecheng-7612	525	43	,	,	PUNCT
fumecheng-7612	525	44	1	1	NUM
fumecheng-7612	525	45	1	1	NUM
fumecheng-7612	525	46	1	1	NUM
fumecheng-7612	525	47	(	(	PUNCT
fumecheng-7612	525	48	)	)	PUNCT
fumecheng-7612	525	49	0	0	NUM
fumecheng-7612	526	1	(	(	PUNCT
fumecheng-7612	526	2	,	,	PUNCT
fumecheng-7612	526	3	)	)	PUNCT
fumecheng-7612	526	4	(	(	PUNCT
fumecheng-7612	526	5	)	)	PUNCT
fumecheng-7612	526	6	(	(	PUNCT
fumecheng-7612	526	7	)	)	PUNCT
fumecheng-7612	526	8	=	=	SYM
fumecheng-7612	526	9	(	(	PUNCT
fumecheng-7612	526	10	)	)	PUNCT
fumecheng-7612	526	11	(	(	PUNCT
fumecheng-7612	526	12	(	(	PUNCT
fumecheng-7612	526	13	)	)	PUNCT
fumecheng-7612	526	14	(	(	PUNCT
fumecheng-7612	526	15	)	)	PUNCT
fumecheng-7612	526	16	)	)	PUNCT
fumecheng-7612	527	1	=	=	SYM
fumecheng-7612	527	2	(	(	PUNCT
fumecheng-7612	527	3	)	)	PUNCT
fumecheng-7612	527	4	(	(	PUNCT
fumecheng-7612	527	5	(	(	PUNCT
fumecheng-7612	527	6	cos	cos	X
fumecheng-7612	527	7	sin	sin	NOUN
fumecheng-7612	527	8	)	)	PUNCT
fumecheng-7612	527	9	1	1	NUM
fumecheng-7612	527	10	(	(	PUNCT
fumecheng-7612	527	11	)	)	PUNCT
fumecheng-7612	527	12	sin	sin	NOUN
fumecheng-7612	527	13	(	(	PUNCT
fumecheng-7612	527	14	(	(	PUNCT
fumecheng-7612	527	15	)	)	PUNCT
fumecheng-7612	527	16	)	)	PUNCT
fumecheng-7612	527	17	)	)	PUNCT
fumecheng-7612	528	1	i	i	PRON
fumecheng-7612	528	2	i	i	PRON
fumecheng-7612	529	1	i	i	PRON
fumecheng-7612	529	2	n	n	VERB
fumecheng-7612	529	3	ni	ni	NOUN
fumecheng-7612	530	1	i	i	PRON
fumecheng-7612	530	2	i	i	PRON
fumecheng-7612	530	3	ni	ni	VERB
fumecheng-7612	531	1	i	i	PRON
fumecheng-7612	531	2	i	i	PRON
fumecheng-7612	532	1	n	n	VERB
fumecheng-7612	533	1	i	i	PRON
fumecheng-7612	533	2	ni	ni	VERB
fumecheng-7612	534	1	i	i	PRON
fumecheng-7612	534	2	n	n	VERB
fumecheng-7612	534	3	i	i	PRON
fumecheng-7612	534	4	n	n	VERB
fumecheng-7612	534	5	ni	ni	PROPN
fumecheng-7612	535	1	i	i	PROPN
fumecheng-7612	535	2	ni	ni	PROPN
fumecheng-7612	535	3	ni	ni	PROPN
fumecheng-7612	535	4	n	n	PROPN
fumecheng-7612	535	5	n	n	CCONJ
fumecheng-7612	535	6	n	n	CCONJ
fumecheng-7612	535	7	n	n	CCONJ
fumecheng-7612	535	8	free	free	ADJ
fumecheng-7612	535	9	force	force	NOUN
fumecheng-7612	536	1	i	i	PRON
fumecheng-7612	537	1	i	i	PRON
fumecheng-7612	537	2	t	t	PROPN
fumecheng-7612	537	3	n	n	CCONJ
fumecheng-7612	537	4	n	n	PROPN
fumecheng-7612	538	1	d	d	PROPN
fumecheng-7612	539	1	n	n	PROPN
fumecheng-7612	540	1	d	d	NOUN
fumecheng-7612	540	2	i	i	PRON
fumecheng-7612	541	1	t	t	NOUN
fumecheng-7612	541	2	t	t	PROPN
fumecheng-7612	541	3	t	t	PROPN
fumecheng-7612	541	4	t	t	PROPN
fumecheng-7612	541	5	n	n	CCONJ
fumecheng-7612	541	6	n	n	PROPN
fumecheng-7612	541	7	d	d	PROPN
fumecheng-7612	541	8	n	n	PROPN
fumecheng-7612	541	9	d	d	PROPN
fumecheng-7612	541	10	w	w	PROPN
fumecheng-7612	541	11	x	x	X
fumecheng-7612	541	12	t	t	PROPN
fumecheng-7612	541	13	w	w	NOUN
fumecheng-7612	541	14	x	x	X
fumecheng-7612	541	15	q	q	PROPN
fumecheng-7612	541	16	t	t	PROPN
fumecheng-7612	541	17	w	w	PROPN
fumecheng-7612	541	18	x	x	X
fumecheng-7612	541	19	q	q	PROPN
fumecheng-7612	541	20	t	t	PROPN
fumecheng-7612	541	21	q	q	PROPN
fumecheng-7612	541	22	t	t	PROPN
fumecheng-7612	541	23	w	w	PROPN
fumecheng-7612	541	24	x	x	PROPN
fumecheng-7612	541	25	e	e	X
fumecheng-7612	541	26	a	a	PROPN
fumecheng-7612	541	27	t	t	PROPN
fumecheng-7612	541	28	b	b	PROPN
fumecheng-7612	541	29	t	t	PROPN
fumecheng-7612	541	30	f	f	PROPN
fumecheng-7612	541	31	t	t	PROPN
fumecheng-7612	541	32	e	e	PROPN
fumecheng-7612	541	33	t	t	PROPN
fumecheng-7612	541	34	t	t	PROPN
fumecheng-7612	542	1	d	d	NOUN
fumecheng-7612	542	2			NOUN
fumecheng-7612	542	3			X
fumecheng-7612	542	4			NOUN
fumecheng-7612	542	5			X
fumecheng-7612	542	6			NOUN
fumecheng-7612	542	7			X
fumecheng-7612	542	8			X
fumecheng-7612	542	9			NOUN
fumecheng-7612	542	10			PROPN
fumecheng-7612	542	11			NOUN
fumecheng-7612	542	12			VERB
fumecheng-7612	542	13			X
fumecheng-7612	542	14			VERB
fumecheng-7612	542	15			NOUN
fumecheng-7612	542	16	=	=	SYM
fumecheng-7612	542	17	=	=	SYM
fumecheng-7612	542	18			VERB
fumecheng-7612	542	19	−	−	PUNCT
fumecheng-7612	542	20	=	=	SYM
fumecheng-7612	542	21	−	−	PROPN
fumecheng-7612	542	22	−	−	NOUN
fumecheng-7612	542	23	−	−	PROPN
fumecheng-7612	542	24	=	=	SYM
fumecheng-7612	543	1	+	+	CCONJ
fumecheng-7612	544	1			ADJ
fumecheng-7612	544	2	+	+	SYM
fumecheng-7612	544	3	+	+	PUNCT
fumecheng-7612	544	4	+	+	CCONJ
fumecheng-7612	544	5			ADJ
fumecheng-7612	544	6			ADJ
fumecheng-7612	544	7			PROPN
fumecheng-7612	544	8	−	−	PROPN
fumecheng-7612	544	9	−	−	PROPN
fumecheng-7612	544	10			X
fumecheng-7612	544	11			X
fumecheng-7612	544	12			X
fumecheng-7612	544	13			PUNCT
fumecheng-7612	545	1	(	(	PUNCT
fumecheng-7612	545	2	1n	1n	NUM
fumecheng-7612	545	3	nt	not	PART
fumecheng-7612	545	4	t	t	PROPN
fumecheng-7612	545	5	t	t	PROPN
fumecheng-7612	545	6	+	+	PROPN
fumecheng-7612	545	7			NOUN
fumecheng-7612	545	8			NOUN
fumecheng-7612	545	9	)	)	PUNCT
fumecheng-7612	545	10	.	.	PUNCT
fumecheng-7612	546	1	(	(	PUNCT
fumecheng-7612	546	2	43	43	NUM
fumecheng-7612	546	3	)	)	PUNCT
fumecheng-7612	546	4	where	where	SCONJ
fumecheng-7612	546	5	(	(	PUNCT
fumecheng-7612	546	6	)	)	PUNCT
fumecheng-7612	546	7	ni	ni	PROPN
fumecheng-7612	546	8	freeq	freeq	PROPN
fumecheng-7612	546	9	t	t	PROPN
fumecheng-7612	546	10	is	be	AUX
fumecheng-7612	546	11	i	i	PRON
fumecheng-7612	546	12	-	-	PUNCT
fumecheng-7612	546	13	th	th	X
fumecheng-7612	546	14	corresponding	corresponding	ADJ
fumecheng-7612	546	15	generalized	generalize	VERB
fumecheng-7612	546	16	coordinate	coordinate	NOUN
fumecheng-7612	546	17	of	of	ADP
fumecheng-7612	546	18	free	free	ADJ
fumecheng-7612	546	19	vibration	vibration	NOUN
fumecheng-7612	546	20	during	during	ADP
fumecheng-7612	546	21	tn	tn	NOUN
fumecheng-7612	546	22	-	-	PUNCT
fumecheng-7612	546	23	tn+1	tn+1	NOUN
fumecheng-7612	546	24	,	,	PUNCT
fumecheng-7612	546	25	(	(	PUNCT
fumecheng-7612	546	26	)	)	PUNCT
fumecheng-7612	546	27	ni	ni	PROPN
fumecheng-7612	546	28	forceq	forceq	PROPN
fumecheng-7612	546	29	t	t	PROPN
fumecheng-7612	546	30	is	be	AUX
fumecheng-7612	546	31	i	i	PRON
fumecheng-7612	546	32	-	-	PUNCT
fumecheng-7612	546	33	th	th	X
fumecheng-7612	546	34	corresponding	corresponding	ADJ
fumecheng-7612	546	35	generalized	generalize	VERB
fumecheng-7612	546	36	coordinate	coordinate	NOUN
fumecheng-7612	546	37	of	of	ADP
fumecheng-7612	546	38	the	the	DET
fumecheng-7612	546	39	external	external	ADJ
fumecheng-7612	546	40	force	force	NOUN
fumecheng-7612	546	41	during	during	ADP
fumecheng-7612	546	42	tn	tn	NOUN
fumecheng-7612	546	43	-	-	PUNCT
fumecheng-7612	546	44	tn+1	tn+1	NOUN
fumecheng-7612	546	45	.	.	PUNCT
fumecheng-7612	547	1	ina	ina	PROPN
fumecheng-7612	547	2	and	and	CCONJ
fumecheng-7612	547	3	inb	inb	PROPN
fumecheng-7612	547	4	are	be	AUX
fumecheng-7612	547	5	given	give	VERB
fumecheng-7612	547	6	as	as	ADP
fumecheng-7612	547	7	follow	follow	VERB
fumecheng-7612	547	8	with	with	ADP
fumecheng-7612	547	9	known	known	ADJ
fumecheng-7612	547	10	1	1	NUM
fumecheng-7612	547	11	(	(	PUNCT
fumecheng-7612	547	12	)	)	PUNCT
fumecheng-7612	547	13	in	in	ADP
fumecheng-7612	547	14	nq	nq	PROPN
fumecheng-7612	547	15	t−	t−	PROPN
fumecheng-7612	547	16	from	from	ADP
fumecheng-7612	547	17	the	the	DET
fumecheng-7612	547	18	previous	previous	ADJ
fumecheng-7612	547	19	iteration	iteration	NOUN
fumecheng-7612	547	20	step	step	NOUN
fumecheng-7612	547	21	,	,	PUNCT
fumecheng-7612	547	22	1	1	NUM
fumecheng-7612	547	23	1	1	NUM
fumecheng-7612	547	24	1	1	NUM
fumecheng-7612	547	25	(	(	PUNCT
fumecheng-7612	547	26	)	)	PUNCT
fumecheng-7612	547	27	(	(	PUNCT
fumecheng-7612	547	28	(	(	PUNCT
fumecheng-7612	547	29	(	(	PUNCT
fumecheng-7612	547	30	)	)	PUNCT
fumecheng-7612	547	31	)	)	PUNCT
fumecheng-7612	547	32	cos	cos	PROPN
fumecheng-7612	547	33	(	(	PUNCT
fumecheng-7612	547	34	)	)	PUNCT
fumecheng-7612	547	35	(	(	PUNCT
fumecheng-7612	547	36	)	)	PUNCT
fumecheng-7612	547	37	sin	sin	NOUN
fumecheng-7612	547	38	(	(	PUNCT
fumecheng-7612	547	39	)	)	PUNCT
fumecheng-7612	547	40	)	)	PUNCT
fumecheng-7612	548	1	=	=	PUNCT
fumecheng-7612	548	2	i	i	PRON
fumecheng-7612	548	3	d	d	PROPN
fumecheng-7612	548	4	nn	nn	PROPN
fumecheng-7612	548	5	ii	ii	PROPN
fumecheng-7612	549	1	i	i	PRON
fumecheng-7612	549	2	i	i	PRON
fumecheng-7612	549	3	n	n	VERB
fumecheng-7612	549	4	n	n	NOUN
fumecheng-7612	550	1	i	i	PRON
fumecheng-7612	550	2	ni	ni	INTJ
fumecheng-7612	551	1	i	i	PRON
fumecheng-7612	551	2	i	i	PRON
fumecheng-7612	552	1	n	n	VERB
fumecheng-7612	553	1	i	i	PRON
fumecheng-7612	553	2	ni	ni	PROPN
fumecheng-7612	553	3	t	t	PROPN
fumecheng-7612	554	1	n	n	PROPN
fumecheng-7612	554	2	i	i	PROPN
fumecheng-7612	554	3	n	n	CCONJ
fumecheng-7612	554	4	n	n	CCONJ
fumecheng-7612	554	5	n	n	NOUN
fumecheng-7612	554	6	d	d	PROPN
fumecheng-7612	554	7	n	n	PROPN
fumecheng-7612	554	8	d	d	PROPN
fumecheng-7612	554	9	n	n	CCONJ
fumecheng-7612	554	10	n	n	PROPN
fumecheng-7612	554	11	d	d	PROPN
fumecheng-7612	554	12	n	n	NOUN
fumecheng-7612	554	13	t	t	PROPN
fumecheng-7612	554	14	t	t	PROPN
fumecheng-7612	555	1	n	n	PROPN
fumecheng-7612	555	2	d	d	X
fumecheng-7612	555	3	dq	dq	NOUN
fumecheng-7612	555	4	t	t	PROPN
fumecheng-7612	555	5	e	e	X
fumecheng-7612	555	6	q	q	PROPN
fumecheng-7612	555	7	t	t	PROPN
fumecheng-7612	555	8	t	t	PROPN
fumecheng-7612	555	9	q	q	PROPN
fumecheng-7612	555	10	t	t	PROPN
fumecheng-7612	555	11	t	t	PROPN
fumecheng-7612	555	12	dt	dt	X
fumecheng-7612	555	13	b	b	X
fumecheng-7612	555	14			NOUN
fumecheng-7612	555	15			X
fumecheng-7612	555	16			NOUN
fumecheng-7612	555	17			X
fumecheng-7612	555	18			X
fumecheng-7612	555	19			X
fumecheng-7612	555	20			X
fumecheng-7612	555	21			X
fumecheng-7612	556	1	−	−	NOUN
fumecheng-7612	556	2	−	−	NOUN
fumecheng-7612	556	3	−	−	PROPN
fumecheng-7612	556	4	=	=	SYM
fumecheng-7612	556	5			PROPN
fumecheng-7612	556	6	+	+	CCONJ
fumecheng-7612	556	7	+	+	CCONJ
fumecheng-7612	556	8	;	;	PUNCT
fumecheng-7612	556	9	(	(	PUNCT
fumecheng-7612	556	10	44	44	NUM
fumecheng-7612	556	11	)	)	SYM
fumecheng-7612	556	12	1	1	NUM
fumecheng-7612	556	13	(	(	PUNCT
fumecheng-7612	556	14	)	)	PUNCT
fumecheng-7612	556	15	sin	sin	NOUN
fumecheng-7612	556	16	(	(	PUNCT
fumecheng-7612	556	17	)	)	PUNCT
fumecheng-7612	556	18	=	=	SYM
fumecheng-7612	556	19	cos	cos	PROPN
fumecheng-7612	556	20	(	(	PUNCT
fumecheng-7612	556	21	)	)	PUNCT
fumecheng-7612	556	22	i	i	PRON
fumecheng-7612	556	23	n	n	VERB
fumecheng-7612	556	24	ni	ni	NOUN
fumecheng-7612	557	1	i	i	PRON
fumecheng-7612	558	1	i	i	PRON
fumecheng-7612	558	2	ni	ni	VERB
fumecheng-7612	559	1	i	i	PROPN
fumecheng-7612	559	2	ni	ni	PROPN
fumecheng-7612	559	3	t	t	PROPN
fumecheng-7612	559	4	n	n	CCONJ
fumecheng-7612	559	5	n	n	CCONJ
fumecheng-7612	559	6	n	n	PROPN
fumecheng-7612	559	7	d	d	PROPN
fumecheng-7612	559	8	n	n	CCONJ
fumecheng-7612	559	9	n	n	PROPN
fumecheng-7612	559	10	d	d	PROPN
fumecheng-7612	559	11	n	n	CCONJ
fumecheng-7612	559	12	q	q	PROPN
fumecheng-7612	559	13	t	t	PROPN
fumecheng-7612	559	14	e	e	PROPN
fumecheng-7612	559	15	b	b	PROPN
fumecheng-7612	559	16	t	t	PROPN
fumecheng-7612	559	17	a	a	DET
fumecheng-7612	559	18	t	t	NOUN
fumecheng-7612	559	19			NOUN
fumecheng-7612	559	20			X
fumecheng-7612	559	21			X
fumecheng-7612	559	22			X
fumecheng-7612	559	23	−	−	PROPN
fumecheng-7612	559	24			PROPN
fumecheng-7612	559	25	−	−	PROPN
fumecheng-7612	559	26	;	;	PUNCT
fumecheng-7612	559	27	(	(	PUNCT
fumecheng-7612	559	28	45	45	NUM
fumecheng-7612	559	29	)	)	PUNCT
fumecheng-7612	559	30	on	on	ADP
fumecheng-7612	559	31	the	the	DET
fumecheng-7612	559	32	other	other	ADJ
fumecheng-7612	559	33	hand	hand	NOUN
fumecheng-7612	559	34	,	,	PUNCT
fumecheng-7612	559	35	if	if	SCONJ
fumecheng-7612	559	36	the	the	DET
fumecheng-7612	559	37	value	value	NOUN
fumecheng-7612	559	38	of	of	ADP
fumecheng-7612	559	39	kl	kl	NOUN
fumecheng-7612	559	40	during	during	ADP
fumecheng-7612	559	41	the	the	DET
fumecheng-7612	559	42	time	time	NOUN
fumecheng-7612	559	43	period	period	NOUN
fumecheng-7612	559	44	tn	tn	NOUN
fumecheng-7612	559	45	-	-	PUNCT
fumecheng-7612	559	46	tn+1	tn+1	NOUN
fumecheng-7612	559	47	changes	change	NOUN
fumecheng-7612	559	48	from	from	ADP
fumecheng-7612	559	49	that	that	PRON
fumecheng-7612	559	50	of	of	ADP
fumecheng-7612	559	51	tn-1	tn-1	NOUN
fumecheng-7612	559	52	-	-	NOUN
fumecheng-7612	559	53	tn	tn	PROPN
fumecheng-7612	559	54	,	,	PUNCT
fumecheng-7612	559	55	the	the	DET
fumecheng-7612	559	56	total	total	ADJ
fumecheng-7612	559	57	vibration	vibration	NOUN
fumecheng-7612	559	58	response	response	NOUN
fumecheng-7612	559	59	is	be	AUX
fumecheng-7612	559	60	,	,	PUNCT
fumecheng-7612	559	61	1	1	NUM
fumecheng-7612	559	62	1	1	NUM
fumecheng-7612	559	63	1	1	NUM
fumecheng-7612	559	64	(	(	PUNCT
fumecheng-7612	559	65	)	)	PUNCT
fumecheng-7612	559	66	0	0	NUM
fumecheng-7612	559	67	(	(	PUNCT
fumecheng-7612	559	68	,	,	PUNCT
fumecheng-7612	559	69	)	)	PUNCT
fumecheng-7612	559	70	(	(	PUNCT
fumecheng-7612	559	71	)	)	PUNCT
fumecheng-7612	559	72	(	(	PUNCT
fumecheng-7612	559	73	)	)	PUNCT
fumecheng-7612	559	74	=	=	SYM
fumecheng-7612	559	75	(	(	PUNCT
fumecheng-7612	559	76	)	)	PUNCT
fumecheng-7612	559	77	(	(	PUNCT
fumecheng-7612	559	78	(	(	PUNCT
fumecheng-7612	559	79	)	)	PUNCT
fumecheng-7612	559	80	(	(	PUNCT
fumecheng-7612	559	81	)	)	PUNCT
fumecheng-7612	559	82	)	)	PUNCT
fumecheng-7612	560	1	=	=	SYM
fumecheng-7612	560	2	(	(	PUNCT
fumecheng-7612	560	3	)	)	PUNCT
fumecheng-7612	560	4	(	(	PUNCT
fumecheng-7612	560	5	(	(	PUNCT
fumecheng-7612	560	6	cos	cos	X
fumecheng-7612	560	7	sin	sin	NOUN
fumecheng-7612	560	8	)	)	PUNCT
fumecheng-7612	560	9	1	1	NUM
fumecheng-7612	560	10	(	(	PUNCT
fumecheng-7612	560	11	)	)	PUNCT
fumecheng-7612	560	12	sin	sin	NOUN
fumecheng-7612	560	13	(	(	PUNCT
fumecheng-7612	560	14	(	(	PUNCT
fumecheng-7612	560	15	)	)	PUNCT
fumecheng-7612	560	16	)	)	PUNCT
fumecheng-7612	560	17	)	)	PUNCT
fumecheng-7612	561	1	i	i	PRON
fumecheng-7612	561	2	i	i	PRON
fumecheng-7612	562	1	i	i	PRON
fumecheng-7612	562	2	n	n	VERB
fumecheng-7612	562	3	ni	ni	NOUN
fumecheng-7612	563	1	i	i	PRON
fumecheng-7612	563	2	i	i	PRON
fumecheng-7612	563	3	ni	ni	VERB
fumecheng-7612	564	1	i	i	PRON
fumecheng-7612	564	2	i	i	PRON
fumecheng-7612	565	1	n	n	VERB
fumecheng-7612	566	1	i	i	PRON
fumecheng-7612	566	2	ni	ni	VERB
fumecheng-7612	567	1	i	i	PRON
fumecheng-7612	567	2	n	n	VERB
fumecheng-7612	568	1	i	i	PRON
fumecheng-7612	568	2	n	n	PROPN
fumecheng-7612	568	3	ni	ni	PROPN
fumecheng-7612	568	4	ni	ni	PROPN
fumecheng-7612	568	5	ni	ni	PROPN
fumecheng-7612	568	6	n	n	PROPN
fumecheng-7612	568	7	n	n	CCONJ
fumecheng-7612	568	8	n	n	CCONJ
fumecheng-7612	568	9	n	n	CCONJ
fumecheng-7612	568	10	free	free	ADJ
fumecheng-7612	568	11	force	force	NOUN
fumecheng-7612	569	1	i	i	PRON
fumecheng-7612	570	1	i	i	PRON
fumecheng-7612	570	2	t	t	PROPN
fumecheng-7612	570	3	n	n	CCONJ
fumecheng-7612	570	4	n	n	PROPN
fumecheng-7612	571	1	d	d	PROPN
fumecheng-7612	572	1	n	n	PROPN
fumecheng-7612	573	1	d	d	NOUN
fumecheng-7612	573	2	i	i	PRON
fumecheng-7612	574	1	t	t	NOUN
fumecheng-7612	574	2	t	t	PROPN
fumecheng-7612	574	3	t	t	PROPN
fumecheng-7612	574	4	t	t	PROPN
fumecheng-7612	574	5	n	n	CCONJ
fumecheng-7612	574	6	n	n	PROPN
fumecheng-7612	574	7	d	d	PROPN
fumecheng-7612	574	8	n	n	PROPN
fumecheng-7612	574	9	d	d	PROPN
fumecheng-7612	574	10	w	w	PROPN
fumecheng-7612	574	11	x	x	X
fumecheng-7612	574	12	t	t	PROPN
fumecheng-7612	574	13	w	w	NOUN
fumecheng-7612	574	14	x	x	X
fumecheng-7612	574	15	q	q	PROPN
fumecheng-7612	574	16	t	t	PROPN
fumecheng-7612	574	17	w	w	PROPN
fumecheng-7612	574	18	x	x	X
fumecheng-7612	574	19	q	q	PROPN
fumecheng-7612	574	20	t	t	PROPN
fumecheng-7612	574	21	q	q	PROPN
fumecheng-7612	574	22	t	t	PROPN
fumecheng-7612	574	23	w	w	PROPN
fumecheng-7612	574	24	x	x	PROPN
fumecheng-7612	574	25	e	e	X
fumecheng-7612	574	26	a	a	PROPN
fumecheng-7612	574	27	t	t	PROPN
fumecheng-7612	574	28	b	b	PROPN
fumecheng-7612	574	29	t	t	PROPN
fumecheng-7612	574	30	f	f	PROPN
fumecheng-7612	574	31	t	t	PROPN
fumecheng-7612	574	32	e	e	PROPN
fumecheng-7612	574	33	t	t	PROPN
fumecheng-7612	574	34	t	t	PROPN
fumecheng-7612	575	1	d	d	NOUN
fumecheng-7612	575	2			NOUN
fumecheng-7612	575	3			X
fumecheng-7612	575	4			NOUN
fumecheng-7612	575	5			X
fumecheng-7612	575	6			NOUN
fumecheng-7612	575	7			X
fumecheng-7612	575	8			X
fumecheng-7612	575	9			NOUN
fumecheng-7612	575	10			PROPN
fumecheng-7612	575	11			NOUN
fumecheng-7612	575	12			VERB
fumecheng-7612	575	13			X
fumecheng-7612	575	14			VERB
fumecheng-7612	575	15			NOUN
fumecheng-7612	575	16	=	=	SYM
fumecheng-7612	575	17	=	=	SYM
fumecheng-7612	575	18			VERB
fumecheng-7612	575	19	−	−	PUNCT
fumecheng-7612	575	20	=	=	SYM
fumecheng-7612	575	21	−	−	PROPN
fumecheng-7612	575	22	−	−	NOUN
fumecheng-7612	575	23	−	−	PROPN
fumecheng-7612	575	24	=	=	SYM
fumecheng-7612	576	1	+	+	CCONJ
fumecheng-7612	577	1			ADJ
fumecheng-7612	577	2	+	+	SYM
fumecheng-7612	577	3	+	+	PUNCT
fumecheng-7612	577	4	+	+	CCONJ
fumecheng-7612	577	5			ADJ
fumecheng-7612	577	6			ADJ
fumecheng-7612	577	7			PROPN
fumecheng-7612	577	8	−	−	PROPN
fumecheng-7612	577	9	−	−	PROPN
fumecheng-7612	577	10			X
fumecheng-7612	577	11			X
fumecheng-7612	577	12			X
fumecheng-7612	577	13			PUNCT
fumecheng-7612	578	1	(	(	PUNCT
fumecheng-7612	578	2	1n	1n	NUM
fumecheng-7612	578	3	nt	not	PART
fumecheng-7612	578	4	t	t	PROPN
fumecheng-7612	578	5	t	t	PROPN
fumecheng-7612	578	6	+	+	PROPN
fumecheng-7612	578	7			NOUN
fumecheng-7612	578	8			NOUN
fumecheng-7612	578	9	)	)	PUNCT
fumecheng-7612	578	10	.	.	PUNCT
fumecheng-7612	579	1	(	(	PUNCT
fumecheng-7612	579	2	46	46	X
fumecheng-7612	579	3	)	)	PUNCT
fumecheng-7612	579	4	ani	ani	VERB
fumecheng-7612	579	5	and	and	CCONJ
fumecheng-7612	579	6	bni	bni	PROPN
fumecheng-7612	579	7	can	can	AUX
fumecheng-7612	579	8	be	be	AUX
fumecheng-7612	579	9	obtained	obtain	VERB
fumecheng-7612	579	10	by	by	ADP
fumecheng-7612	579	11	the	the	DET
fumecheng-7612	579	12	above	above	ADJ
fumecheng-7612	579	13	formula	formula	NOUN
fumecheng-7612	579	14	with	with	ADP
fumecheng-7612	579	15	the	the	DET
fumecheng-7612	579	16	known	know	VERB
fumecheng-7612	579	17	vibration	vibration	NOUN
fumecheng-7612	579	18	response	response	NOUN
fumecheng-7612	579	19	,	,	PUNCT
fumecheng-7612	579	20	-1	-1	PRON
fumecheng-7612	579	21	(	(	PUNCT
fumecheng-7612	579	22	,	,	PUNCT
fumecheng-7612	579	23	)	)	PUNCT
fumecheng-7612	580	1	n	n	PROPN
fumecheng-7612	580	2	nw	nw	NOUN
fumecheng-7612	580	3	x	x	PROPN
fumecheng-7612	580	4	t	t	PROPN
fumecheng-7612	580	5	,	,	PUNCT
fumecheng-7612	580	6	at	at	ADP
fumecheng-7612	580	7	t	t	PROPN
fumecheng-7612	580	8	=	=	SYM
fumecheng-7612	580	9	tn	tn	PROPN
fumecheng-7612	580	10	from	from	ADP
fumecheng-7612	580	11	the	the	DET
fumecheng-7612	580	12	previous	previous	ADJ
fumecheng-7612	580	13	step	step	NOUN
fumecheng-7612	580	14	,	,	PUNCT
fumecheng-7612	580	15	794	794	NUM
fumecheng-7612	580	16	p.	p.	NOUN
fumecheng-7612	580	17	wang	wang	PROPN
fumecheng-7612	580	18	,	,	PUNCT
fumecheng-7612	580	19	n.	n.	PROPN
fumecheng-7612	580	20	wu	wu	PROPN
fumecheng-7612	580	21	,	,	PUNCT
fumecheng-7612	580	22	h.	h.	PROPN
fumecheng-7612	580	23	luo	luo	PROPN
fumecheng-7612	580	24	,	,	PUNCT
fumecheng-7612	580	25	z.	z.	PROPN
fumecheng-7612	580	26	sun	sun	PROPN
fumecheng-7612	580	27	(	(	PUNCT
fumecheng-7612	580	28	)	)	PUNCT
fumecheng-7612	580	29	(	(	PUNCT
fumecheng-7612	580	30	(	(	PUNCT
fumecheng-7612	580	31	(	(	PUNCT
fumecheng-7612	580	32	)	)	PUNCT
fumecheng-7612	580	33	)	)	PUNCT
fumecheng-7612	581	1	cos	cos	PROPN
fumecheng-7612	581	2	(	(	PUNCT
fumecheng-7612	581	3	)	)	PUNCT
fumecheng-7612	581	4	(	(	PUNCT
fumecheng-7612	581	5	)	)	PUNCT
fumecheng-7612	581	6	sin	sin	NOUN
fumecheng-7612	581	7	(	(	PUNCT
fumecheng-7612	581	8	)	)	PUNCT
fumecheng-7612	581	9	)	)	PUNCT
fumecheng-7612	582	1	=	=	PUNCT
fumecheng-7612	583	1	i	i	PRON
fumecheng-7612	583	2	d	d	PROPN
fumecheng-7612	583	3	n	n	CCONJ
fumecheng-7612	583	4	nn	nn	PROPN
fumecheng-7612	583	5	ii	ii	PROPN
fumecheng-7612	583	6	i	i	PROPN
fumecheng-7612	583	7	n	n	VERB
fumecheng-7612	583	8	n	n	CCONJ
fumecheng-7612	583	9	n	n	CCONJ
fumecheng-7612	583	10	n	n	ADV
fumecheng-7612	583	11	ni	ni	NOUN
fumecheng-7612	584	1	i	i	PRON
fumecheng-7612	584	2	i	i	PRON
fumecheng-7612	585	1	i	i	PRON
fumecheng-7612	585	2	i	i	PRON
fumecheng-7612	586	1	n	n	VERB
fumecheng-7612	587	1	i	i	PRON
fumecheng-7612	587	2	ni	ni	PROPN
fumecheng-7612	587	3	t	t	PROPN
fumecheng-7612	587	4	free	free	VERB
fumecheng-7612	587	5	i	i	PRON
fumecheng-7612	587	6	n	n	CCONJ
fumecheng-7612	587	7	free	free	VERB
fumecheng-7612	587	8	n	n	PROPN
fumecheng-7612	587	9	d	d	X
fumecheng-7612	587	10	n	n	PROPN
fumecheng-7612	587	11	d	d	ADP
fumecheng-7612	587	12	free	free	ADJ
fumecheng-7612	587	13	n	n	PROPN
fumecheng-7612	587	14	d	d	PROPN
fumecheng-7612	587	15	n	n	NOUN
fumecheng-7612	587	16	t	t	PROPN
fumecheng-7612	587	17	t	t	PROPN
fumecheng-7612	587	18	n	n	PROPN
fumecheng-7612	587	19	d	d	X
fumecheng-7612	587	20	dq	dq	NOUN
fumecheng-7612	587	21	t	t	PROPN
fumecheng-7612	587	22	e	e	X
fumecheng-7612	587	23	q	q	PROPN
fumecheng-7612	587	24	t	t	PROPN
fumecheng-7612	587	25	t	t	PROPN
fumecheng-7612	587	26	q	q	PROPN
fumecheng-7612	587	27	t	t	PROPN
fumecheng-7612	587	28	t	t	PROPN
fumecheng-7612	587	29	dt	dt	X
fumecheng-7612	588	1	b	b	X
fumecheng-7612	588	2			NOUN
fumecheng-7612	588	3			X
fumecheng-7612	588	4			NOUN
fumecheng-7612	588	5			X
fumecheng-7612	588	6			X
fumecheng-7612	588	7			X
fumecheng-7612	588	8			X
fumecheng-7612	588	9			X
fumecheng-7612	588	10	=	=	PUNCT
fumecheng-7612	588	11			PROPN
fumecheng-7612	588	12	+	+	CCONJ
fumecheng-7612	588	13	+	+	CCONJ
fumecheng-7612	588	14	;	;	PUNCT
fumecheng-7612	588	15	(	(	PUNCT
fumecheng-7612	588	16	47	47	NUM
fumecheng-7612	588	17	)	)	PUNCT
fumecheng-7612	588	18	(	(	PUNCT
fumecheng-7612	588	19	)	)	PUNCT
fumecheng-7612	588	20	sin	sin	NOUN
fumecheng-7612	588	21	(	(	PUNCT
fumecheng-7612	588	22	)	)	PUNCT
fumecheng-7612	588	23	=	=	SYM
fumecheng-7612	588	24	cos	cos	PROPN
fumecheng-7612	588	25	(	(	PUNCT
fumecheng-7612	588	26	)	)	PUNCT
fumecheng-7612	588	27	i	i	PRON
fumecheng-7612	588	28	n	n	VERB
fumecheng-7612	588	29	ni	ni	PROPN
fumecheng-7612	588	30	n	n	PROPN
fumecheng-7612	588	31	i	i	PRON
fumecheng-7612	588	32	ni	ni	INTJ
fumecheng-7612	589	1	i	i	PRON
fumecheng-7612	589	2	i	i	PROPN
fumecheng-7612	589	3	ni	ni	PROPN
fumecheng-7612	589	4	t	t	PROPN
fumecheng-7612	589	5	free	free	ADJ
fumecheng-7612	589	6	n	n	CCONJ
fumecheng-7612	589	7	n	n	NOUN
fumecheng-7612	589	8	d	d	PROPN
fumecheng-7612	589	9	n	n	CCONJ
fumecheng-7612	589	10	n	n	PROPN
fumecheng-7612	589	11	d	d	PROPN
fumecheng-7612	589	12	n	n	CCONJ
fumecheng-7612	589	13	q	q	PROPN
fumecheng-7612	589	14	t	t	PROPN
fumecheng-7612	589	15	e	e	PROPN
fumecheng-7612	589	16	b	b	PROPN
fumecheng-7612	589	17	t	t	PROPN
fumecheng-7612	589	18	a	a	DET
fumecheng-7612	589	19	t	t	NOUN
fumecheng-7612	589	20			NOUN
fumecheng-7612	589	21			X
fumecheng-7612	589	22			X
fumecheng-7612	589	23			X
fumecheng-7612	589	24			PROPN
fumecheng-7612	589	25	−	−	PROPN
fumecheng-7612	589	26	;	;	PUNCT
fumecheng-7612	589	27	(	(	PUNCT
fumecheng-7612	589	28	48	48	NUM
fumecheng-7612	589	29	)	)	PUNCT
fumecheng-7612	589	30	where	where	SCONJ
fumecheng-7612	589	31	the	the	DET
fumecheng-7612	589	32	first	first	ADJ
fumecheng-7612	589	33	3	3	NUM
fumecheng-7612	589	34	-	-	PUNCT
fumecheng-7612	589	35	th	th	ADV
fumecheng-7612	589	36	generalized	generalize	VERB
fumecheng-7612	589	37	coordinates	coordinate	NOUN
fumecheng-7612	589	38	of	of	ADP
fumecheng-7612	589	39	free	free	ADJ
fumecheng-7612	589	40	vibration	vibration	NOUN
fumecheng-7612	589	41	at	at	ADP
fumecheng-7612	589	42	time	time	NOUN
fumecheng-7612	589	43	tn	tn	PROPN
fumecheng-7612	589	44	,	,	PUNCT
fumecheng-7612	589	45	(	(	PUNCT
fumecheng-7612	589	46	)	)	PUNCT
fumecheng-7612	589	47	ni	ni	PROPN
fumecheng-7612	589	48	free	free	ADJ
fumecheng-7612	589	49	nq	nq	PROPN
fumecheng-7612	589	50	t	t	PROPN
fumecheng-7612	589	51	(	(	PUNCT
fumecheng-7612	589	52	i=1,2,3	i=1,2,3	X
fumecheng-7612	589	53	)	)	PUNCT
fumecheng-7612	589	54	,	,	PUNCT
fumecheng-7612	589	55	are	be	AUX
fumecheng-7612	589	56	given	give	VERB
fumecheng-7612	589	57	as	as	ADP
fumecheng-7612	589	58	below	below	ADV
fumecheng-7612	589	59	,	,	PUNCT
fumecheng-7612	589	60	3	3	NUM
fumecheng-7612	589	61	13	13	NUM
fumecheng-7612	589	62	1	1	NUM
fumecheng-7612	589	63	1	1	NUM
fumecheng-7612	589	64	3	3	NUM
fumecheng-7612	589	65	1	1	NUM
fumecheng-7612	589	66	2	2	NUM
fumecheng-7612	589	67	1	1	NUM
fumecheng-7612	589	68	3	3	NUM
fumecheng-7612	589	69	2	2	NUM
fumecheng-7612	589	70	3	3	NUM
fumecheng-7612	589	71	1	1	NUM
fumecheng-7612	589	72	3	3	NUM
fumecheng-7612	589	73	1	1	NUM
fumecheng-7612	589	74	1	1	NUM
fumecheng-7612	589	75	2	2	NUM
fumecheng-7612	589	76	1	1	NUM
fumecheng-7612	589	77	3	3	NUM
fumecheng-7612	589	78	2	2	NUM
fumecheng-7612	589	79	10	10	NUM
fumecheng-7612	589	80	0	0	NUM
fumecheng-7612	589	81	10	10	NUM
fumecheng-7612	589	82	0	0	NUM
fumecheng-7612	589	83	2	2	NUM
fumecheng-7612	589	84	0	0	NUM
fumecheng-7612	589	85	0	0	NUM
fumecheng-7612	589	86	0	0	NUM
fumecheng-7612	589	87	0	0	NUM
fumecheng-7612	589	88	2	2	NUM
fumecheng-7612	589	89	2	2	NUM
fumecheng-7612	589	90	(	(	PUNCT
fumecheng-7612	589	91	)	)	PUNCT
fumecheng-7612	589	92	(	(	PUNCT
fumecheng-7612	589	93	(	(	PUNCT
fumecheng-7612	589	94	)	)	PUNCT
fumecheng-7612	589	95	(	(	PUNCT
fumecheng-7612	589	96	,	,	PUNCT
fumecheng-7612	589	97	)	)	PUNCT
fumecheng-7612	589	98	(	(	PUNCT
fumecheng-7612	589	99	)	)	PUNCT
fumecheng-7612	589	100	(	(	PUNCT
fumecheng-7612	589	101	)	)	PUNCT
fumecheng-7612	589	102	(	(	PUNCT
fumecheng-7612	589	103	,	,	PUNCT
fumecheng-7612	589	104	)	)	PUNCT
fumecheng-7612	589	105	(	(	PUNCT
fumecheng-7612	589	106	)	)	PUNCT
fumecheng-7612	589	107	(	(	PUNCT
fumecheng-7612	589	108	)	)	PUNCT
fumecheng-7612	589	109	(	(	PUNCT
fumecheng-7612	589	110	)	)	PUNCT
fumecheng-7612	589	111	(	(	PUNCT
fumecheng-7612	589	112	)	)	PUNCT
fumecheng-7612	589	113	(	(	PUNCT
fumecheng-7612	589	114	)	)	PUNCT
fumecheng-7612	589	115	(	(	PUNCT
fumecheng-7612	589	116	)	)	PUNCT
fumecheng-7612	589	117	(	(	PUNCT
fumecheng-7612	589	118	)	)	PUNCT
fumecheng-7612	589	119	(	(	PUNCT
fumecheng-7612	589	120	)	)	PUNCT
fumecheng-7612	589	121	(	(	PUNCT
fumecheng-7612	589	122	)	)	PUNCT
fumecheng-7612	589	123	)	)	PUNCT
fumecheng-7612	589	124	/	/	PUNCT
fumecheng-7612	590	1	(	(	PUNCT
fumecheng-7612	590	2	(	(	PUNCT
fumecheng-7612	590	3	)	)	PUNCT
fumecheng-7612	590	4	(	(	PUNCT
fumecheng-7612	590	5	)	)	PUNCT
fumecheng-7612	590	6	(	(	PUNCT
fumecheng-7612	590	7	)	)	PUNCT
fumecheng-7612	590	8	(	(	PUNCT
fumecheng-7612	590	9	)	)	PUNCT
fumecheng-7612	590	10	(	(	PUNCT
fumecheng-7612	590	11	)	)	PUNCT
fumecheng-7612	590	12	(	(	PUNCT
fumecheng-7612	590	13	n	n	X
fumecheng-7612	590	14	l	l	NOUN
fumecheng-7612	590	15	l	l	X
fumecheng-7612	590	16	free	free	ADJ
fumecheng-7612	590	17	n	n	CCONJ
fumecheng-7612	590	18	n	n	CCONJ
fumecheng-7612	590	19	n	n	CCONJ
fumecheng-7612	590	20	n	n	CCONJ
fumecheng-7612	590	21	n	n	ADP
fumecheng-7612	590	22	l	l	NOUN
fumecheng-7612	590	23	l	l	NOUN
fumecheng-7612	590	24	n	n	CCONJ
fumecheng-7612	590	25	n	n	CCONJ
fumecheng-7612	590	26	n	n	CCONJ
fumecheng-7612	590	27	n	n	CCONJ
fumecheng-7612	590	28	n	n	ADP
fumecheng-7612	590	29	l	l	NOUN
fumecheng-7612	590	30	l	l	NOUN
fumecheng-7612	590	31	l	l	X
fumecheng-7612	590	32	l	l	NOUN
fumecheng-7612	590	33	n	n	CCONJ
fumecheng-7612	590	34	n	n	CCONJ
fumecheng-7612	590	35	n	n	CCONJ
fumecheng-7612	590	36	n	n	CCONJ
fumecheng-7612	590	37	n	n	CCONJ
fumecheng-7612	590	38	n	n	CCONJ
fumecheng-7612	590	39	n	n	CCONJ
fumecheng-7612	590	40	n	n	CCONJ
fumecheng-7612	590	41	n	n	CCONJ
fumecheng-7612	590	42	n	n	CCONJ
fumecheng-7612	590	43	n	n	CCONJ
fumecheng-7612	590	44	n	n	CCONJ
fumecheng-7612	590	45	n	n	PROPN
fumecheng-7612	590	46	q	q	PROPN
fumecheng-7612	590	47	t	t	PROPN
fumecheng-7612	590	48	w	w	PROPN
fumecheng-7612	590	49	x	x	PROPN
fumecheng-7612	590	50	w	w	PROPN
fumecheng-7612	590	51	x	x	SYM
fumecheng-7612	590	52	t	t	PROPN
fumecheng-7612	590	53	dx	dx	PROPN
fumecheng-7612	590	54	w	w	PROPN
fumecheng-7612	590	55	x	x	PROPN
fumecheng-7612	590	56	dx	dx	PROPN
fumecheng-7612	590	57	w	w	PROPN
fumecheng-7612	590	58	x	x	PROPN
fumecheng-7612	590	59	w	w	PROPN
fumecheng-7612	590	60	x	x	SYM
fumecheng-7612	590	61	t	t	PROPN
fumecheng-7612	590	62	dx	dx	PROPN
fumecheng-7612	590	63	w	w	PROPN
fumecheng-7612	590	64	x	x	PROPN
fumecheng-7612	590	65	w	w	PROPN
fumecheng-7612	590	66	x	x	X
fumecheng-7612	590	67	dx	dx	PROPN
fumecheng-7612	590	68	m	m	PROPN
fumecheng-7612	590	69	w	w	PROPN
fumecheng-7612	590	70	x	x	PROPN
fumecheng-7612	590	71	w	w	PROPN
fumecheng-7612	590	72	x	x	X
fumecheng-7612	590	73	dx	dx	PROPN
fumecheng-7612	590	74	w	w	PROPN
fumecheng-7612	590	75	x	x	PROPN
fumecheng-7612	590	76	w	w	PROPN
fumecheng-7612	590	77	x	x	X
fumecheng-7612	590	78	dx	dx	PROPN
fumecheng-7612	590	79	m	m	PROPN
fumecheng-7612	590	80	w	w	PROPN
fumecheng-7612	590	81	x	x	PROPN
fumecheng-7612	590	82	w	w	PROPN
fumecheng-7612	590	83	x	x	X
fumecheng-7612	590	84	dx	dx	PROPN
fumecheng-7612	590	85	w	w	PROPN
fumecheng-7612	590	86	x	x	PROPN
fumecheng-7612	590	87	dx	dx	PROPN
fumecheng-7612	590	88	w	w	PROPN
fumecheng-7612	590	89	x	x	PROPN
fumecheng-7612	590	90	dx	dx	PROPN
fumecheng-7612	590	91	w	w	PROPN
fumecheng-7612	590	92	x	x	PROPN
fumecheng-7612	590	93	dx	dx	PROPN
fumecheng-7612	590	94	n	n	PROPN
fumecheng-7612	590	95	w	w	PROPN
fumecheng-7612	590	96	x	x	X
fumecheng-7612	590	97	w	w	PROPN
fumecheng-7612	590	98	x	x	X
fumecheng-7612	590	99	dx	dx	PROPN
fumecheng-7612	590	100	w	w	PROPN
fumecheng-7612	590	101	x	x	PROPN
fumecheng-7612	590	102	w	w	PROPN
fumecheng-7612	590	103	x	x	NOUN
fumecheng-7612	590	104	−	−	NOUN
fumecheng-7612	590	105	−	−	PROPN
fumecheng-7612	590	106	=	=	SYM
fumecheng-7612	591	1	−	−	PROPN
fumecheng-7612	592	1	+	+	CCONJ
fumecheng-7612	593	1	−	−	PROPN
fumecheng-7612	593	2	−	−	NOUN
fumecheng-7612	594	1			NOUN
fumecheng-7612	594	2			X
fumecheng-7612	595	1			X
fumecheng-7612	595	2			X
fumecheng-7612	596	1			X
fumecheng-7612	596	2			NOUN
fumecheng-7612	597	1			NOUN
fumecheng-7612	597	2			SYM
fumecheng-7612	598	1	1	1	NUM
fumecheng-7612	598	2	3	3	NUM
fumecheng-7612	598	3	2	2	NUM
fumecheng-7612	598	4	3	3	NUM
fumecheng-7612	598	5	1	1	NUM
fumecheng-7612	598	6	0	0	NUM
fumecheng-7612	598	7	0	0	NUM
fumecheng-7612	598	8	0	0	NUM
fumecheng-7612	598	9	0	0	NUM
fumecheng-7612	598	10	2	2	NUM
fumecheng-7612	598	11	2	2	NUM
fumecheng-7612	598	12	0	0	NUM
fumecheng-7612	598	13	0	0	NUM
fumecheng-7612	598	14	0	0	NUM
fumecheng-7612	598	15	)	)	PUNCT
fumecheng-7612	598	16	(	(	PUNCT
fumecheng-7612	598	17	(	(	PUNCT
fumecheng-7612	598	18	)	)	PUNCT
fumecheng-7612	598	19	(	(	PUNCT
fumecheng-7612	598	20	)	)	PUNCT
fumecheng-7612	598	21	)	)	PUNCT
fumecheng-7612	599	1	(	(	PUNCT
fumecheng-7612	599	2	)	)	PUNCT
fumecheng-7612	599	3	(	(	PUNCT
fumecheng-7612	599	4	)	)	PUNCT
fumecheng-7612	599	5	(	(	PUNCT
fumecheng-7612	599	6	)	)	PUNCT
fumecheng-7612	599	7	)	)	PUNCT
fumecheng-7612	600	1	l	l	NOUN
fumecheng-7612	600	2	l	l	NOUN
fumecheng-7612	600	3	l	l	NOUN
fumecheng-7612	600	4	l	l	NOUN
fumecheng-7612	600	5	l	l	NOUN
fumecheng-7612	600	6	l	l	X
fumecheng-7612	600	7	l	l	NOUN
fumecheng-7612	600	8	n	n	CCONJ
fumecheng-7612	600	9	n	n	CCONJ
fumecheng-7612	600	10	n	n	CCONJ
fumecheng-7612	600	11	n	n	CCONJ
fumecheng-7612	600	12	n	n	NOUN
fumecheng-7612	600	13	dx	dx	PROPN
fumecheng-7612	600	14	w	w	PROPN
fumecheng-7612	600	15	x	x	PROPN
fumecheng-7612	600	16	w	w	PROPN
fumecheng-7612	600	17	x	x	X
fumecheng-7612	600	18	dx	dx	PROPN
fumecheng-7612	600	19	n	n	PROPN
fumecheng-7612	600	20	w	w	PROPN
fumecheng-7612	600	21	x	x	X
fumecheng-7612	600	22	w	w	PROPN
fumecheng-7612	600	23	x	x	X
fumecheng-7612	600	24	dx	dx	PROPN
fumecheng-7612	600	25	w	w	PROPN
fumecheng-7612	600	26	x	x	X
fumecheng-7612	600	27	dx−	dx−	PROPN
fumecheng-7612	601	1	+	+	CCONJ
fumecheng-7612	601	2			X
fumecheng-7612	601	3			X
fumecheng-7612	602	1			NOUN
fumecheng-7612	602	2			X
fumecheng-7612	603	1			X
fumecheng-7612	603	2			X
fumecheng-7612	603	3			X
fumecheng-7612	603	4	,	,	PUNCT
fumecheng-7612	603	5	(	(	PUNCT
fumecheng-7612	603	6	49	49	NUM
fumecheng-7612	603	7	)	)	PUNCT
fumecheng-7612	603	8	2	2	NUM
fumecheng-7612	603	9	3	3	NUM
fumecheng-7612	603	10	(	(	PUNCT
fumecheng-7612	603	11	)	)	PUNCT
fumecheng-7612	603	12	(	(	PUNCT
fumecheng-7612	603	13	)	)	PUNCT
fumecheng-7612	603	14	n	n	X
fumecheng-7612	603	15	nfree	nfree	VERB
fumecheng-7612	603	16	n	n	ADV
fumecheng-7612	603	17	free	free	ADJ
fumecheng-7612	603	18	nq	nq	PROPN
fumecheng-7612	603	19	t	t	PROPN
fumecheng-7612	603	20	m	m	PROPN
fumecheng-7612	603	21	nq	nq	PROPN
fumecheng-7612	603	22	t=	t=	PRON
fumecheng-7612	604	1	+	+	X
fumecheng-7612	604	2	,	,	PUNCT
fumecheng-7612	604	3	(	(	PUNCT
fumecheng-7612	604	4	50	50	NUM
fumecheng-7612	604	5	)	)	SYM
fumecheng-7612	604	6	1	1	NUM
fumecheng-7612	604	7	1	1	NUM
fumecheng-7612	604	8	21	21	NUM
fumecheng-7612	604	9	2	2	NUM
fumecheng-7612	604	10	1	1	NUM
fumecheng-7612	604	11	33	33	NUM
fumecheng-7612	604	12	1	1	NUM
fumecheng-7612	604	13	10	10	NUM
fumecheng-7612	604	14	0	0	NUM
fumecheng-7612	604	15	0	0	NUM
fumecheng-7612	604	16	2	2	NUM
fumecheng-7612	604	17	0	0	NUM
fumecheng-7612	604	18	(	(	PUNCT
fumecheng-7612	604	19	)	)	PUNCT
fumecheng-7612	604	20	(	(	PUNCT
fumecheng-7612	604	21	(	(	PUNCT
fumecheng-7612	604	22	)	)	PUNCT
fumecheng-7612	604	23	(	(	PUNCT
fumecheng-7612	604	24	,	,	PUNCT
fumecheng-7612	604	25	)	)	PUNCT
fumecheng-7612	604	26	(	(	PUNCT
fumecheng-7612	604	27	)	)	PUNCT
fumecheng-7612	604	28	(	(	PUNCT
fumecheng-7612	604	29	)	)	PUNCT
fumecheng-7612	604	30	(	(	PUNCT
fumecheng-7612	604	31	)	)	PUNCT
fumecheng-7612	604	32	1	1	NUM
fumecheng-7612	604	33	(	(	PUNCT
fumecheng-7612	604	34	)	)	PUNCT
fumecheng-7612	604	35	(	(	PUNCT
fumecheng-7612	604	36	)	)	PUNCT
fumecheng-7612	604	37	(	(	PUNCT
fumecheng-7612	604	38	)	)	PUNCT
fumecheng-7612	604	39	)	)	PUNCT
fumecheng-7612	605	1	(	(	PUNCT
fumecheng-7612	605	2	)	)	PUNCT
fumecheng-7612	605	3	n	n	CCONJ
fumecheng-7612	605	4	n	n	CCONJ
fumecheng-7612	605	5	n	n	ADP
fumecheng-7612	605	6	l	l	NOUN
fumecheng-7612	605	7	l	l	X
fumecheng-7612	605	8	free	free	ADJ
fumecheng-7612	605	9	n	n	CCONJ
fumecheng-7612	605	10	n	n	CCONJ
fumecheng-7612	605	11	n	n	CCONJ
fumecheng-7612	605	12	n	n	CCONJ
fumecheng-7612	605	13	free	free	ADJ
fumecheng-7612	605	14	n	n	CCONJ
fumecheng-7612	605	15	n	n	CCONJ
fumecheng-7612	605	16	n	n	ADV
fumecheng-7612	605	17	l	l	NOUN
fumecheng-7612	605	18	free	free	ADJ
fumecheng-7612	605	19	n	n	CCONJ
fumecheng-7612	605	20	n	n	CCONJ
fumecheng-7612	605	21	n	n	ADP
fumecheng-7612	605	22	l	l	NOUN
fumecheng-7612	605	23	n	n	CCONJ
fumecheng-7612	605	24	q	q	PROPN
fumecheng-7612	605	25	t	t	PROPN
fumecheng-7612	605	26	w	w	PROPN
fumecheng-7612	605	27	x	x	PROPN
fumecheng-7612	605	28	w	w	PROPN
fumecheng-7612	605	29	x	x	SYM
fumecheng-7612	605	30	t	t	PROPN
fumecheng-7612	605	31	q	q	PROPN
fumecheng-7612	605	32	t	t	PROPN
fumecheng-7612	605	33	w	w	PROPN
fumecheng-7612	605	34	x	x	PROPN
fumecheng-7612	605	35	w	w	PROPN
fumecheng-7612	605	36	x	x	X
fumecheng-7612	605	37	dx	dx	PROPN
fumecheng-7612	605	38	q	q	PROPN
fumecheng-7612	605	39	t	t	PROPN
fumecheng-7612	605	40	w	w	PROPN
fumecheng-7612	605	41	x	x	PROPN
fumecheng-7612	605	42	w	w	PROPN
fumecheng-7612	605	43	x	x	X
fumecheng-7612	605	44	dx	dx	PROPN
fumecheng-7612	605	45	w	w	PROPN
fumecheng-7612	605	46	x	x	PROPN
fumecheng-7612	605	47	dx	dx	PROPN
fumecheng-7612	605	48	−=	−=	NOUN
fumecheng-7612	605	49	−	−	PROPN
fumecheng-7612	605	50	−	−	PROPN
fumecheng-7612	605	51			PROPN
fumecheng-7612	605	52			NOUN
fumecheng-7612	605	53			X
fumecheng-7612	605	54			X
fumecheng-7612	605	55			X
fumecheng-7612	605	56	,	,	PUNCT
fumecheng-7612	605	57	(	(	PUNCT
fumecheng-7612	605	58	51	51	NUM
fumecheng-7612	605	59	)	)	PUNCT
fumecheng-7612	605	60	where	where	SCONJ
fumecheng-7612	605	61	we	we	PRON
fumecheng-7612	605	62	have	have	VERB
fumecheng-7612	605	63	,	,	PUNCT
fumecheng-7612	605	64	1	1	NUM
fumecheng-7612	605	65	2	2	NUM
fumecheng-7612	605	66	1	1	NUM
fumecheng-7612	605	67	2	2	NUM
fumecheng-7612	605	68	1	1	NUM
fumecheng-7612	605	69	2	2	NUM
fumecheng-7612	605	70	1	1	NUM
fumecheng-7612	605	71	1	1	NUM
fumecheng-7612	605	72	2	2	NUM
fumecheng-7612	605	73	2	2	NUM
fumecheng-7612	605	74	1	1	NUM
fumecheng-7612	605	75	10	10	NUM
fumecheng-7612	605	76	0	0	NUM
fumecheng-7612	605	77	0	0	NUM
fumecheng-7612	605	78	0	0	NUM
fumecheng-7612	605	79	2	2	NUM
fumecheng-7612	605	80	2	2	NUM
fumecheng-7612	605	81	2	2	NUM
fumecheng-7612	605	82	0	0	NUM
fumecheng-7612	605	83	0	0	NUM
fumecheng-7612	605	84	0	0	NUM
fumecheng-7612	605	85	(	(	PUNCT
fumecheng-7612	605	86	)	)	PUNCT
fumecheng-7612	605	87	(	(	PUNCT
fumecheng-7612	605	88	)	)	PUNCT
fumecheng-7612	605	89	(	(	PUNCT
fumecheng-7612	605	90	,	,	PUNCT
fumecheng-7612	605	91	)	)	PUNCT
fumecheng-7612	605	92	(	(	PUNCT
fumecheng-7612	605	93	)	)	PUNCT
fumecheng-7612	605	94	(	(	PUNCT
fumecheng-7612	605	95	)	)	PUNCT
fumecheng-7612	605	96	(	(	PUNCT
fumecheng-7612	605	97	)	)	PUNCT
fumecheng-7612	605	98	(	(	PUNCT
fumecheng-7612	605	99	,	,	PUNCT
fumecheng-7612	605	100	)	)	PUNCT
fumecheng-7612	605	101	(	(	PUNCT
fumecheng-7612	605	102	)	)	PUNCT
fumecheng-7612	605	103	(	(	PUNCT
fumecheng-7612	605	104	)	)	PUNCT
fumecheng-7612	605	105	(	(	PUNCT
fumecheng-7612	605	106	(	(	PUNCT
fumecheng-7612	605	107	)	)	PUNCT
fumecheng-7612	605	108	(	(	PUNCT
fumecheng-7612	605	109	)	)	PUNCT
fumecheng-7612	605	110	)	)	PUNCT
fumecheng-7612	606	1	l	l	NOUN
fumecheng-7612	606	2	l	l	PUNCT
fumecheng-7612	606	3	l	l	X
fumecheng-7612	606	4	l	l	NOUN
fumecheng-7612	606	5	n	n	CCONJ
fumecheng-7612	606	6	n	n	CCONJ
fumecheng-7612	606	7	n	n	CCONJ
fumecheng-7612	606	8	n	n	CCONJ
fumecheng-7612	606	9	n	n	CCONJ
fumecheng-7612	606	10	n	n	CCONJ
fumecheng-7612	606	11	n	n	CCONJ
fumecheng-7612	606	12	n	n	CCONJ
fumecheng-7612	606	13	n	n	ADP
fumecheng-7612	606	14	l	l	NOUN
fumecheng-7612	606	15	l	l	NOUN
fumecheng-7612	606	16	l	l	NOUN
fumecheng-7612	606	17	n	n	CCONJ
fumecheng-7612	606	18	n	n	CCONJ
fumecheng-7612	606	19	n	n	CCONJ
fumecheng-7612	606	20	n	n	PROPN
fumecheng-7612	606	21	w	w	NOUN
fumecheng-7612	606	22	x	x	X
fumecheng-7612	606	23	dx	dx	PROPN
fumecheng-7612	606	24	w	w	PROPN
fumecheng-7612	606	25	x	x	PROPN
fumecheng-7612	606	26	w	w	PROPN
fumecheng-7612	606	27	x	x	SYM
fumecheng-7612	606	28	t	t	PROPN
fumecheng-7612	606	29	dx	dx	PROPN
fumecheng-7612	606	30	w	w	PROPN
fumecheng-7612	606	31	x	x	PROPN
fumecheng-7612	606	32	w	w	PROPN
fumecheng-7612	606	33	x	x	X
fumecheng-7612	606	34	dx	dx	PROPN
fumecheng-7612	606	35	w	w	PROPN
fumecheng-7612	606	36	x	x	PROPN
fumecheng-7612	606	37	w	w	PROPN
fumecheng-7612	606	38	x	x	SYM
fumecheng-7612	606	39	t	t	PROPN
fumecheng-7612	606	40	dx	dx	PROPN
fumecheng-7612	606	41	m	m	VERB
fumecheng-7612	606	42	w	w	PROPN
fumecheng-7612	606	43	x	x	X
fumecheng-7612	606	44	dx	dx	PROPN
fumecheng-7612	606	45	w	w	PROPN
fumecheng-7612	606	46	x	x	PROPN
fumecheng-7612	606	47	dx	dx	PROPN
fumecheng-7612	606	48	w	w	PROPN
fumecheng-7612	606	49	x	x	PROPN
fumecheng-7612	606	50	w	w	PROPN
fumecheng-7612	606	51	x	x	PROPN
fumecheng-7612	606	52	dx	dx	PROPN
fumecheng-7612	606	53	−	−	PROPN
fumecheng-7612	606	54	−−	−−	PROPN
fumecheng-7612	606	55	=	=	PUNCT
fumecheng-7612	606	56	−	−	PROPN
fumecheng-7612	607	1			X
fumecheng-7612	607	2			X
fumecheng-7612	608	1			X
fumecheng-7612	608	2			X
fumecheng-7612	609	1			X
fumecheng-7612	609	2			X
fumecheng-7612	609	3			X
fumecheng-7612	610	1	,	,	PUNCT
fumecheng-7612	610	2	(	(	PUNCT
fumecheng-7612	610	3	52	52	NUM
fumecheng-7612	610	4	)	)	SYM
fumecheng-7612	610	5	1	1	NUM
fumecheng-7612	610	6	2	2	NUM
fumecheng-7612	610	7	1	1	NUM
fumecheng-7612	610	8	3	3	NUM
fumecheng-7612	610	9	2	2	NUM
fumecheng-7612	610	10	3	3	NUM
fumecheng-7612	610	11	1	1	NUM
fumecheng-7612	610	12	2	2	NUM
fumecheng-7612	610	13	1	1	NUM
fumecheng-7612	610	14	1	1	NUM
fumecheng-7612	610	15	2	2	NUM
fumecheng-7612	610	16	2	2	NUM
fumecheng-7612	610	17	0	0	NUM
fumecheng-7612	610	18	0	0	NUM
fumecheng-7612	610	19	0	0	NUM
fumecheng-7612	610	20	0	0	NUM
fumecheng-7612	610	21	2	2	NUM
fumecheng-7612	610	22	2	2	NUM
fumecheng-7612	610	23	2	2	NUM
fumecheng-7612	610	24	0	0	NUM
fumecheng-7612	610	25	0	0	NUM
fumecheng-7612	610	26	0	0	NUM
fumecheng-7612	610	27	(	(	PUNCT
fumecheng-7612	610	28	)	)	PUNCT
fumecheng-7612	610	29	(	(	PUNCT
fumecheng-7612	610	30	)	)	PUNCT
fumecheng-7612	610	31	(	(	PUNCT
fumecheng-7612	610	32	)	)	PUNCT
fumecheng-7612	610	33	(	(	PUNCT
fumecheng-7612	610	34	)	)	PUNCT
fumecheng-7612	610	35	(	(	PUNCT
fumecheng-7612	610	36	)	)	PUNCT
fumecheng-7612	610	37	(	(	PUNCT
fumecheng-7612	610	38	)	)	PUNCT
fumecheng-7612	610	39	(	(	PUNCT
fumecheng-7612	610	40	)	)	PUNCT
fumecheng-7612	610	41	(	(	PUNCT
fumecheng-7612	610	42	)	)	PUNCT
fumecheng-7612	610	43	(	(	PUNCT
fumecheng-7612	610	44	)	)	PUNCT
fumecheng-7612	610	45	(	(	PUNCT
fumecheng-7612	610	46	(	(	PUNCT
fumecheng-7612	610	47	)	)	PUNCT
fumecheng-7612	610	48	(	(	PUNCT
fumecheng-7612	610	49	)	)	PUNCT
fumecheng-7612	610	50	)	)	PUNCT
fumecheng-7612	611	1	l	l	NOUN
fumecheng-7612	611	2	l	l	PUNCT
fumecheng-7612	611	3	l	l	X
fumecheng-7612	611	4	l	l	NOUN
fumecheng-7612	611	5	n	n	CCONJ
fumecheng-7612	611	6	n	n	CCONJ
fumecheng-7612	611	7	n	n	CCONJ
fumecheng-7612	611	8	n	n	CCONJ
fumecheng-7612	611	9	n	n	CCONJ
fumecheng-7612	611	10	n	n	CCONJ
fumecheng-7612	611	11	n	n	ADP
fumecheng-7612	611	12	l	l	NOUN
fumecheng-7612	611	13	l	l	NOUN
fumecheng-7612	611	14	l	l	NOUN
fumecheng-7612	611	15	n	n	CCONJ
fumecheng-7612	611	16	n	n	CCONJ
fumecheng-7612	611	17	n	n	CCONJ
fumecheng-7612	611	18	n	n	ADV
fumecheng-7612	611	19	w	w	NOUN
fumecheng-7612	611	20	x	x	SYM
fumecheng-7612	611	21	w	w	PROPN
fumecheng-7612	611	22	x	x	X
fumecheng-7612	611	23	dx	dx	PROPN
fumecheng-7612	611	24	w	w	PROPN
fumecheng-7612	611	25	x	x	PROPN
fumecheng-7612	611	26	w	w	PROPN
fumecheng-7612	611	27	x	x	X
fumecheng-7612	611	28	dx	dx	PROPN
fumecheng-7612	611	29	w	w	PROPN
fumecheng-7612	611	30	x	x	PROPN
fumecheng-7612	611	31	w	w	PROPN
fumecheng-7612	611	32	x	x	X
fumecheng-7612	611	33	dx	dx	PROPN
fumecheng-7612	611	34	w	w	PROPN
fumecheng-7612	611	35	x	x	PROPN
fumecheng-7612	611	36	dx	dx	PROPN
fumecheng-7612	611	37	n	n	PROPN
fumecheng-7612	611	38	w	w	PROPN
fumecheng-7612	611	39	x	x	X
fumecheng-7612	611	40	dx	dx	PROPN
fumecheng-7612	611	41	w	w	PROPN
fumecheng-7612	611	42	x	x	PROPN
fumecheng-7612	611	43	dx	dx	PROPN
fumecheng-7612	611	44	w	w	PROPN
fumecheng-7612	611	45	x	x	PROPN
fumecheng-7612	611	46	w	w	PROPN
fumecheng-7612	611	47	x	x	X
fumecheng-7612	611	48	dx	dx	PROPN
fumecheng-7612	611	49	−	−	PROPN
fumecheng-7612	611	50	=	=	PUNCT
fumecheng-7612	612	1	−	−	PROPN
fumecheng-7612	612	2			NOUN
fumecheng-7612	613	1			X
fumecheng-7612	613	2			X
fumecheng-7612	614	1			X
fumecheng-7612	614	2			X
fumecheng-7612	615	1			X
fumecheng-7612	615	2			X
fumecheng-7612	615	3	.	.	PUNCT
fumecheng-7612	616	1	(	(	PUNCT
fumecheng-7612	616	2	53	53	NUM
fumecheng-7612	616	3	)	)	PUNCT
fumecheng-7612	616	4	3	3	NUM
fumecheng-7612	616	5	.	.	PUNCT
fumecheng-7612	616	6	numerical	numerical	PROPN
fumecheng-7612	616	7	studies	study	NOUN
fumecheng-7612	616	8	,	,	PUNCT
fumecheng-7612	616	9	results	result	NOUN
fumecheng-7612	616	10	and	and	CCONJ
fumecheng-7612	616	11	discussion	discussion	NOUN
fumecheng-7612	616	12	as	as	SCONJ
fumecheng-7612	616	13	shown	show	VERB
fumecheng-7612	616	14	in	in	ADP
fumecheng-7612	616	15	fig	fig	NOUN
fumecheng-7612	616	16	.	.	PUNCT
fumecheng-7612	617	1	1	1	NUM
fumecheng-7612	617	2	,	,	PUNCT
fumecheng-7612	617	3	a	a	DET
fumecheng-7612	617	4	non	non	ADJ
fumecheng-7612	617	5	-	-	ADJ
fumecheng-7612	617	6	uniform	uniform	ADJ
fumecheng-7612	617	7	cylindrical	cylindrical	ADJ
fumecheng-7612	617	8	beam	beam	NOUN
fumecheng-7612	617	9	with	with	ADP
fumecheng-7612	617	10	positive	positive	ADJ
fumecheng-7612	617	11	exponential	exponential	ADJ
fumecheng-7612	617	12	cross	cross	ADJ
fumecheng-7612	617	13	-	-	ADJ
fumecheng-7612	617	14	section	section	ADJ
fumecheng-7612	617	15	variation	variation	NOUN
fumecheng-7612	617	16	function	function	NOUN
fumecheng-7612	617	17	is	be	AUX
fumecheng-7612	617	18	chosen	choose	VERB
fumecheng-7612	617	19	for	for	ADP
fumecheng-7612	617	20	numerical	numerical	ADJ
fumecheng-7612	617	21	case	case	NOUN
fumecheng-7612	617	22	studies	study	NOUN
fumecheng-7612	617	23	.	.	PUNCT
fumecheng-7612	618	1	the	the	DET
fumecheng-7612	618	2	length	length	NOUN
fumecheng-7612	618	3	of	of	ADP
fumecheng-7612	618	4	the	the	DET
fumecheng-7612	618	5	beam	beam	NOUN
fumecheng-7612	618	6	is	be	AUX
fumecheng-7612	618	7	l=0.2	l=0.2	NOUN
fumecheng-7612	618	8	m	m	PROPN
fumecheng-7612	618	9	and	and	CCONJ
fumecheng-7612	618	10	the	the	DET
fumecheng-7612	618	11	diameter	diameter	NOUN
fumecheng-7612	618	12	of	of	ADP
fumecheng-7612	618	13	the	the	DET
fumecheng-7612	618	14	left	left	ADJ
fumecheng-7612	618	15	end	end	NOUN
fumecheng-7612	618	16	of	of	ADP
fumecheng-7612	618	17	the	the	DET
fumecheng-7612	618	18	non	non	ADJ
fumecheng-7612	618	19	-	-	ADJ
fumecheng-7612	618	20	uniform	uniform	ADJ
fumecheng-7612	618	21	beam	beam	NOUN
fumecheng-7612	618	22	is	be	AUX
fumecheng-7612	618	23	d=0.01	d=0.01	PRON
fumecheng-7612	618	24	m.	m.	NOUN
fumecheng-7612	618	25	the	the	DET
fumecheng-7612	618	26	diameter	diameter	NOUN
fumecheng-7612	618	27	at	at	ADP
fumecheng-7612	618	28	x	x	NOUN
fumecheng-7612	618	29	position	position	NOUN
fumecheng-7612	618	30	along	along	ADP
fumecheng-7612	618	31	the	the	DET
fumecheng-7612	618	32	length	length	NOUN
fumecheng-7612	618	33	of	of	ADP
fumecheng-7612	618	34	the	the	DET
fumecheng-7612	618	35	beam	beam	NOUN
fumecheng-7612	618	36	is	be	AUX
fumecheng-7612	618	37	(	(	PUNCT
fumecheng-7612	618	38	)	)	PUNCT
fumecheng-7612	619	1	n	n	X
fumecheng-7612	620	1	xd	xd	INTJ
fumecheng-7612	620	2	x	x	SYM
fumecheng-7612	620	3	d	d	X
fumecheng-7612	620	4	e	e	X
fumecheng-7612	620	5	=	=	PROPN
fumecheng-7612	620	6			PROPN
fumecheng-7612	620	7	,	,	PUNCT
fumecheng-7612	620	8	with	with	ADP
fumecheng-7612	620	9	the	the	DET
fumecheng-7612	620	10	taper	taper	NOUN
fumecheng-7612	620	11	ratio	ratio	NOUN
fumecheng-7612	620	12	as	as	ADP
fumecheng-7612	620	13	n=2.0	n=2.0	PROPN
fumecheng-7612	620	14	.	.	PUNCT
fumecheng-7612	621	1	the	the	DET
fumecheng-7612	621	2	material	material	NOUN
fumecheng-7612	621	3	of	of	ADP
fumecheng-7612	621	4	study	study	NOUN
fumecheng-7612	621	5	on	on	ADP
fumecheng-7612	621	6	vibration	vibration	NOUN
fumecheng-7612	621	7	response	response	NOUN
fumecheng-7612	621	8	of	of	ADP
fumecheng-7612	621	9	a	a	DET
fumecheng-7612	621	10	non	non	ADJ
fumecheng-7612	621	11	-	-	ADJ
fumecheng-7612	621	12	uniform	uniform	ADJ
fumecheng-7612	621	13	beam	beam	NOUN
fumecheng-7612	621	14	with	with	ADP
fumecheng-7612	621	15	nonlinear	nonlinear	ADJ
fumecheng-7612	621	16	boundary	boundary	ADJ
fumecheng-7612	621	17	condition	condition	NOUN
fumecheng-7612	621	18	795	795	NUM
fumecheng-7612	621	19	the	the	DET
fumecheng-7612	621	20	beam	beam	NOUN
fumecheng-7612	621	21	is	be	AUX
fumecheng-7612	621	22	6061	6061	NUM
fumecheng-7612	621	23	aluminum	aluminum	NOUN
fumecheng-7612	621	24	alloy	alloy	NOUN
fumecheng-7612	621	25	with	with	ADP
fumecheng-7612	621	26	the	the	DET
fumecheng-7612	621	27	elastic	elastic	ADJ
fumecheng-7612	621	28	modulus	modulus	NOUN
fumecheng-7612	621	29	as	as	ADP
fumecheng-7612	621	30	e	e	NOUN
fumecheng-7612	621	31	=	=	NOUN
fumecheng-7612	621	32	70×109	70×109	NUM
fumecheng-7612	621	33	n	n	CCONJ
fumecheng-7612	621	34	/	/	SYM
fumecheng-7612	621	35	m2	m2	PROPN
fumecheng-7612	621	36	and	and	CCONJ
fumecheng-7612	621	37	the	the	DET
fumecheng-7612	621	38	density	density	NOUN
fumecheng-7612	621	39	as	as	ADP
fumecheng-7612	621	40	ρ=2.7×103	ρ=2.7×103	PROPN
fumecheng-7612	621	41	kg	kg	PROPN
fumecheng-7612	621	42	/	/	SYM
fumecheng-7612	621	43	m3	m3	PROPN
fumecheng-7612	621	44	.	.	PUNCT
fumecheng-7612	622	1	the	the	DET
fumecheng-7612	622	2	cross	cross	ADJ
fumecheng-7612	622	3	-	-	ADJ
fumecheng-7612	622	4	section	section	ADJ
fumecheng-7612	622	5	area	area	NOUN
fumecheng-7612	622	6	and	and	CCONJ
fumecheng-7612	622	7	bending	bend	VERB
fumecheng-7612	622	8	moment	moment	NOUN
fumecheng-7612	622	9	of	of	ADP
fumecheng-7612	622	10	inertia	inertia	NOUN
fumecheng-7612	622	11	are	be	AUX
fumecheng-7612	622	12	2	2	NUM
fumecheng-7612	622	13	(	(	PUNCT
fumecheng-7612	622	14	)	)	PUNCT
fumecheng-7612	622	15	(	(	PUNCT
fumecheng-7612	622	16	/	/	SYM
fumecheng-7612	622	17	2)n	2)n	NUM
fumecheng-7612	622	18	xa	xa	NOUN
fumecheng-7612	622	19	x	x	PROPN
fumecheng-7612	623	1	d	d	X
fumecheng-7612	623	2	e	e	ADP
fumecheng-7612	623	3	=	=	PROPN
fumecheng-7612	623	4			NUM
fumecheng-7612	623	5	and	and	CCONJ
fumecheng-7612	623	6	4	4	NUM
fumecheng-7612	623	7	(	(	PUNCT
fumecheng-7612	623	8	)	)	PUNCT
fumecheng-7612	623	9	1/	1/	NUM
fumecheng-7612	623	10	64	64	NUM
fumecheng-7612	623	11	(	(	PUNCT
fumecheng-7612	623	12	)	)	PUNCT
fumecheng-7612	623	13	n	n	NOUN
fumecheng-7612	623	14	xi	xi	X
fumecheng-7612	624	1	x	x	PUNCT
fumecheng-7612	624	2	d	d	X
fumecheng-7612	624	3	e	e	ADP
fumecheng-7612	624	4	=	=	PROPN
fumecheng-7612	624	5			PROPN
fumecheng-7612	624	6			PROPN
fumecheng-7612	624	7	,	,	PUNCT
fumecheng-7612	624	8	respectively	respectively	ADV
fumecheng-7612	624	9	.	.	PUNCT
fumecheng-7612	625	1	the	the	DET
fumecheng-7612	625	2	sampling	sample	VERB
fumecheng-7612	625	3	interval	interval	NOUN
fumecheng-7612	625	4	is	be	AUX
fumecheng-7612	625	5	0.0001	0.0001	NUM
fumecheng-7612	625	6	s.	s.	NOUN
fumecheng-7612	625	7	the	the	DET
fumecheng-7612	625	8	relationship	relationship	NOUN
fumecheng-7612	625	9	between	between	ADP
fumecheng-7612	625	10	spring	spring	NOUN
fumecheng-7612	625	11	force	force	NOUN
fumecheng-7612	625	12	and	and	CCONJ
fumecheng-7612	625	13	deflection	deflection	NOUN
fumecheng-7612	625	14	is	be	AUX
fumecheng-7612	625	15	shown	show	VERB
fumecheng-7612	625	16	by	by	ADP
fumecheng-7612	625	17	a	a	DET
fumecheng-7612	625	18	diagram	diagram	NOUN
fumecheng-7612	625	19	in	in	ADP
fumecheng-7612	625	20	fig	fig	NOUN
fumecheng-7612	625	21	.	.	PUNCT
fumecheng-7612	626	1	2	2	X
fumecheng-7612	626	2	.	.	X
fumecheng-7612	626	3	in	in	ADP
fumecheng-7612	626	4	this	this	DET
fumecheng-7612	626	5	paper	paper	NOUN
fumecheng-7612	626	6	,	,	PUNCT
fumecheng-7612	626	7	the	the	DET
fumecheng-7612	626	8	continuous	continuous	ADJ
fumecheng-7612	626	9	nonlinear	nonlinear	ADJ
fumecheng-7612	626	10	boundary	boundary	NOUN
fumecheng-7612	626	11	is	be	AUX
fumecheng-7612	626	12	treated	treat	VERB
fumecheng-7612	626	13	as	as	ADP
fumecheng-7612	626	14	a	a	DET
fumecheng-7612	626	15	multisegment	multisegment	ADJ
fumecheng-7612	626	16	linear	linear	PROPN
fumecheng-7612	626	17	approximation	approximation	NOUN
fumecheng-7612	626	18	.	.	PUNCT
fumecheng-7612	627	1	k1	k1	PROPN
fumecheng-7612	627	2	,	,	PUNCT
fumecheng-7612	627	3	k2	k2	NOUN
fumecheng-7612	627	4	,	,	PUNCT
fumecheng-7612	627	5	...	...	PUNCT
fumecheng-7612	627	6	,	,	PUNCT
fumecheng-7612	627	7	in	in	ADP
fumecheng-7612	627	8	a	a	DET
fumecheng-7612	627	9	diagram	diagram	NOUN
fumecheng-7612	627	10	shown	show	VERB
fumecheng-7612	627	11	by	by	ADP
fumecheng-7612	627	12	fig	fig	NOUN
fumecheng-7612	627	13	.	.	PUNCT
fumecheng-7612	628	1	2	2	NUM
fumecheng-7612	628	2	represent	represent	VERB
fumecheng-7612	628	3	the	the	DET
fumecheng-7612	628	4	kl	kl	PROPN
fumecheng-7612	628	5	values	value	NOUN
fumecheng-7612	628	6	after	after	ADP
fumecheng-7612	628	7	the	the	DET
fumecheng-7612	628	8	multi	multi	ADJ
fumecheng-7612	628	9	-	-	ADJ
fumecheng-7612	628	10	linear	linear	ADJ
fumecheng-7612	628	11	segmentation	segmentation	NOUN
fumecheng-7612	628	12	.	.	PUNCT
fumecheng-7612	629	1	it	it	PRON
fumecheng-7612	629	2	is	be	AUX
fumecheng-7612	629	3	seen	see	VERB
fumecheng-7612	629	4	that	that	SCONJ
fumecheng-7612	629	5	the	the	DET
fumecheng-7612	629	6	multi	multi	ADJ
fumecheng-7612	629	7	-	-	ADJ
fumecheng-7612	629	8	linear	linear	ADJ
fumecheng-7612	629	9	assumption	assumption	NOUN
fumecheng-7612	629	10	can	can	AUX
fumecheng-7612	629	11	not	not	PART
fumecheng-7612	629	12	present	present	VERB
fumecheng-7612	629	13	the	the	DET
fumecheng-7612	629	14	exact	exact	ADJ
fumecheng-7612	629	15	nonlinear	nonlinear	ADJ
fumecheng-7612	629	16	behavior	behavior	NOUN
fumecheng-7612	629	17	/	/	SYM
fumecheng-7612	629	18	property	property	NOUN
fumecheng-7612	629	19	of	of	ADP
fumecheng-7612	629	20	the	the	DET
fumecheng-7612	629	21	reality	reality	NOUN
fumecheng-7612	629	22	nonlinear	nonlinear	NOUN
fumecheng-7612	629	23	material	material	NOUN
fumecheng-7612	629	24	with	with	ADP
fumecheng-7612	629	25	certain	certain	ADJ
fumecheng-7612	629	26	error	error	NOUN
fumecheng-7612	629	27	leading	lead	VERB
fumecheng-7612	629	28	to	to	ADP
fumecheng-7612	629	29	‘	'	PUNCT
fumecheng-7612	629	30	slower	slow	ADJ
fumecheng-7612	629	31	’	'	PUNCT
fumecheng-7612	629	32	hardening	harden	VERB
fumecheng-7612	629	33	process	process	NOUN
fumecheng-7612	629	34	with	with	ADP
fumecheng-7612	629	35	displacement	displacement	ADJ
fumecheng-7612	629	36	increment	increment	NOUN
fumecheng-7612	629	37	.	.	PUNCT
fumecheng-7612	630	1	considering	consider	VERB
fumecheng-7612	630	2	certain	certain	ADJ
fumecheng-7612	630	3	number	number	NOUN
fumecheng-7612	630	4	of	of	ADP
fumecheng-7612	630	5	linear	linear	ADJ
fumecheng-7612	630	6	segments	segment	NOUN
fumecheng-7612	630	7	,	,	PUNCT
fumecheng-7612	630	8	more	more	ADV
fumecheng-7612	630	9	obvious	obvious	ADJ
fumecheng-7612	630	10	error	error	NOUN
fumecheng-7612	630	11	can	can	AUX
fumecheng-7612	630	12	be	be	AUX
fumecheng-7612	630	13	noticed	notice	VERB
fumecheng-7612	630	14	while	while	SCONJ
fumecheng-7612	630	15	the	the	DET
fumecheng-7612	630	16	nonlinearity	nonlinearity	NOUN
fumecheng-7612	630	17	is	be	AUX
fumecheng-7612	630	18	more	more	ADV
fumecheng-7612	630	19	significant	significant	ADJ
fumecheng-7612	630	20	.	.	PUNCT
fumecheng-7612	631	1	however	however	ADV
fumecheng-7612	631	2	,	,	PUNCT
fumecheng-7612	631	3	such	such	ADJ
fumecheng-7612	631	4	error	error	NOUN
fumecheng-7612	631	5	can	can	AUX
fumecheng-7612	631	6	be	be	AUX
fumecheng-7612	631	7	further	far	ADV
fumecheng-7612	631	8	limited	limit	VERB
fumecheng-7612	631	9	by	by	ADP
fumecheng-7612	631	10	introducing	introduce	VERB
fumecheng-7612	631	11	more	more	ADJ
fumecheng-7612	631	12	refined	refined	ADJ
fumecheng-7612	631	13	multi	multi	ADJ
fumecheng-7612	631	14	-	-	ADJ
fumecheng-7612	631	15	linear	linear	ADJ
fumecheng-7612	631	16	segments	segment	NOUN
fumecheng-7612	631	17	leading	lead	VERB
fumecheng-7612	631	18	to	to	ADP
fumecheng-7612	631	19	more	more	ADV
fumecheng-7612	631	20	precise	precise	ADJ
fumecheng-7612	631	21	spring	spring	NOUN
fumecheng-7612	631	22	force	force	NOUN
fumecheng-7612	631	23	considered	consider	VERB
fumecheng-7612	631	24	during	during	ADP
fumecheng-7612	631	25	the	the	DET
fumecheng-7612	631	26	calculation	calculation	NOUN
fumecheng-7612	631	27	.	.	PUNCT
fumecheng-7612	632	1	in	in	ADP
fumecheng-7612	632	2	this	this	DET
fumecheng-7612	632	3	work	work	NOUN
fumecheng-7612	632	4	,	,	PUNCT
fumecheng-7612	632	5	we	we	PRON
fumecheng-7612	632	6	consider	consider	VERB
fumecheng-7612	632	7	10	10	NUM
fumecheng-7612	632	8	segments	segment	NOUN
fumecheng-7612	632	9	for	for	ADP
fumecheng-7612	632	10	the	the	DET
fumecheng-7612	632	11	case	case	NOUN
fumecheng-7612	632	12	study	study	NOUN
fumecheng-7612	632	13	to	to	PART
fumecheng-7612	632	14	present	present	VERB
fumecheng-7612	632	15	the	the	DET
fumecheng-7612	632	16	theory	theory	NOUN
fumecheng-7612	632	17	.	.	PUNCT
fumecheng-7612	633	1	the	the	DET
fumecheng-7612	633	2	deflection	deflection	NOUN
fumecheng-7612	633	3	intervals	interval	NOUN
fumecheng-7612	633	4	are	be	AUX
fumecheng-7612	633	5	determined	determine	VERB
fumecheng-7612	633	6	according	accord	VERB
fumecheng-7612	633	7	to	to	ADP
fumecheng-7612	633	8	the	the	DET
fumecheng-7612	633	9	deflection	deflection	NOUN
fumecheng-7612	633	10	range	range	NOUN
fumecheng-7612	633	11	calculated	calculate	VERB
fumecheng-7612	633	12	by	by	ADP
fumecheng-7612	633	13	all	all	DET
fumecheng-7612	633	14	kl	kl	NOUN
fumecheng-7612	633	15	values	value	NOUN
fumecheng-7612	633	16	,	,	PUNCT
fumecheng-7612	633	17	and	and	CCONJ
fumecheng-7612	633	18	the	the	DET
fumecheng-7612	633	19	left	left	ADJ
fumecheng-7612	633	20	bound	bind	VERB
fumecheng-7612	633	21	of	of	ADP
fumecheng-7612	633	22	deflection	deflection	NOUN
fumecheng-7612	633	23	interval	interval	NOUN
fumecheng-7612	633	24	is	be	AUX
fumecheng-7612	633	25	defined	define	VERB
fumecheng-7612	633	26	to	to	PART
fumecheng-7612	633	27	be	be	AUX
fumecheng-7612	633	28	smaller	small	ADJ
fumecheng-7612	633	29	than	than	ADP
fumecheng-7612	633	30	the	the	DET
fumecheng-7612	633	31	amplitude	amplitude	NOUN
fumecheng-7612	633	32	of	of	ADP
fumecheng-7612	633	33	steady	steady	ADJ
fumecheng-7612	633	34	state	state	NOUN
fumecheng-7612	633	35	deflection	deflection	NOUN
fumecheng-7612	633	36	.	.	PUNCT
fumecheng-7612	634	1	and	and	CCONJ
fumecheng-7612	634	2	it	it	PRON
fumecheng-7612	634	3	is	be	AUX
fumecheng-7612	634	4	more	more	ADV
fumecheng-7612	634	5	reasonable	reasonable	ADJ
fumecheng-7612	634	6	to	to	PART
fumecheng-7612	634	7	define	define	VERB
fumecheng-7612	634	8	the	the	DET
fumecheng-7612	634	9	interval	interval	NOUN
fumecheng-7612	634	10	according	accord	VERB
fumecheng-7612	634	11	to	to	ADP
fumecheng-7612	634	12	the	the	DET
fumecheng-7612	634	13	steady	steady	ADJ
fumecheng-7612	634	14	state	state	NOUN
fumecheng-7612	634	15	amplitude	amplitude	NOUN
fumecheng-7612	634	16	to	to	PART
fumecheng-7612	634	17	ensure	ensure	VERB
fumecheng-7612	634	18	that	that	SCONJ
fumecheng-7612	634	19	all	all	DET
fumecheng-7612	634	20	kl	kl	NOUN
fumecheng-7612	634	21	values	value	NOUN
fumecheng-7612	634	22	can	can	AUX
fumecheng-7612	634	23	be	be	AUX
fumecheng-7612	634	24	obtained	obtain	VERB
fumecheng-7612	634	25	during	during	ADP
fumecheng-7612	634	26	the	the	DET
fumecheng-7612	634	27	vibration	vibration	NOUN
fumecheng-7612	634	28	under	under	ADP
fumecheng-7612	634	29	harmonic	harmonic	ADJ
fumecheng-7612	634	30	excitation	excitation	NOUN
fumecheng-7612	634	31	.	.	PUNCT
fumecheng-7612	635	1	when	when	SCONJ
fumecheng-7612	635	2	the	the	DET
fumecheng-7612	635	3	deflection	deflection	NOUN
fumecheng-7612	635	4	of	of	ADP
fumecheng-7612	635	5	the	the	DET
fumecheng-7612	635	6	left	left	ADJ
fumecheng-7612	635	7	end	end	NOUN
fumecheng-7612	635	8	of	of	ADP
fumecheng-7612	635	9	the	the	DET
fumecheng-7612	635	10	beam	beam	NOUN
fumecheng-7612	635	11	is	be	AUX
fumecheng-7612	635	12	greater	great	ADJ
fumecheng-7612	635	13	than	than	ADP
fumecheng-7612	635	14	the	the	DET
fumecheng-7612	635	15	maximum	maximum	ADJ
fumecheng-7612	635	16	value	value	NOUN
fumecheng-7612	635	17	in	in	ADP
fumecheng-7612	635	18	the	the	DET
fumecheng-7612	635	19	interval	interval	NOUN
fumecheng-7612	635	20	of	of	ADP
fumecheng-7612	635	21	deflection	deflection	NOUN
fumecheng-7612	635	22	,	,	PUNCT
fumecheng-7612	635	23	the	the	DET
fumecheng-7612	635	24	elastic	elastic	ADJ
fumecheng-7612	635	25	stiffness	stiffness	NOUN
fumecheng-7612	635	26	coefficient	coefficient	NOUN
fumecheng-7612	635	27	kl	kl	PROPN
fumecheng-7612	635	28	will	will	AUX
fumecheng-7612	635	29	change	change	VERB
fumecheng-7612	635	30	.	.	PUNCT
fumecheng-7612	636	1	there	there	PRON
fumecheng-7612	636	2	are	be	VERB
fumecheng-7612	636	3	many	many	ADJ
fumecheng-7612	636	4	kinds	kind	NOUN
fumecheng-7612	636	5	of	of	ADP
fumecheng-7612	636	6	relationships	relationship	NOUN
fumecheng-7612	636	7	between	between	ADP
fumecheng-7612	636	8	the	the	DET
fumecheng-7612	636	9	tension	tension	NOUN
fumecheng-7612	636	10	(	(	PUNCT
fumecheng-7612	636	11	torsion	torsion	NOUN
fumecheng-7612	636	12	)	)	PUNCT
fumecheng-7612	636	13	coefficient	coefficient	NOUN
fumecheng-7612	636	14	and	and	CCONJ
fumecheng-7612	636	15	deflection	deflection	NOUN
fumecheng-7612	636	16	for	for	ADP
fumecheng-7612	636	17	different	different	ADJ
fumecheng-7612	636	18	nonlinear	nonlinear	ADJ
fumecheng-7612	636	19	springs	spring	NOUN
fumecheng-7612	636	20	,	,	PUNCT
fumecheng-7612	636	21	we	we	PRON
fumecheng-7612	636	22	just	just	ADV
fumecheng-7612	636	23	study	study	VERB
fumecheng-7612	636	24	one	one	NUM
fumecheng-7612	636	25	of	of	ADP
fumecheng-7612	636	26	them	they	PRON
fumecheng-7612	636	27	here	here	ADV
fumecheng-7612	636	28	.	.	PUNCT
fumecheng-7612	637	1	deflection	deflection	NOUN
fumecheng-7612	637	2	s	s	PART
fumecheng-7612	637	3	p	p	X
fumecheng-7612	637	4	ri	ri	PROPN
fumecheng-7612	637	5	n	n	PRON
fumecheng-7612	637	6	g	g	PROPN
fumecheng-7612	637	7	fo	fo	INTJ
fumecheng-7612	637	8	rc	rc	PROPN
fumecheng-7612	637	9	e	e	PROPN
fumecheng-7612	637	10	real	real	ADJ
fumecheng-7612	637	11	deflection	deflection	NOUN
fumecheng-7612	637	12	and	and	CCONJ
fumecheng-7612	637	13	spring	spring	NOUN
fumecheng-7612	637	14	force	force	NOUN
fumecheng-7612	637	15	curve	curve	NOUN
fumecheng-7612	637	16	deflection	deflection	NOUN
fumecheng-7612	637	17	and	and	CCONJ
fumecheng-7612	637	18	spring	spring	NOUN
fumecheng-7612	637	19	force	force	NOUN
fumecheng-7612	637	20	curve	curve	NOUN
fumecheng-7612	637	21	in	in	ADP
fumecheng-7612	637	22	calculation	calculation	NOUN
fumecheng-7612	637	23	k1	k1	PROPN
fumecheng-7612	637	24	k2	k2	PROPN
fumecheng-7612	637	25	k3	k3	PROPN
fumecheng-7612	637	26	k4	k4	PROPN
fumecheng-7612	637	27	k5	k5	PROPN
fumecheng-7612	637	28	fig	fig	NOUN
fumecheng-7612	637	29	.	.	PUNCT
fumecheng-7612	638	1	2	2	NUM
fumecheng-7612	638	2	relationship	relationship	NOUN
fumecheng-7612	638	3	of	of	ADP
fumecheng-7612	638	4	deflection	deflection	NOUN
fumecheng-7612	638	5	and	and	CCONJ
fumecheng-7612	638	6	spring	spring	NOUN
fumecheng-7612	638	7	force	force	NOUN
fumecheng-7612	638	8	3.1	3.1	NUM
fumecheng-7612	638	9	.	.	PUNCT
fumecheng-7612	639	1	verification	verification	NOUN
fumecheng-7612	639	2	of	of	ADP
fumecheng-7612	639	3	mathematical	mathematical	ADJ
fumecheng-7612	639	4	model	model	NOUN
fumecheng-7612	639	5	in	in	ADP
fumecheng-7612	639	6	this	this	DET
fumecheng-7612	639	7	section	section	NOUN
fumecheng-7612	639	8	,	,	PUNCT
fumecheng-7612	639	9	the	the	DET
fumecheng-7612	639	10	accuracy	accuracy	NOUN
fumecheng-7612	639	11	of	of	ADP
fumecheng-7612	639	12	the	the	DET
fumecheng-7612	639	13	proposed	propose	VERB
fumecheng-7612	639	14	mathematical	mathematical	ADJ
fumecheng-7612	639	15	model	model	NOUN
fumecheng-7612	639	16	is	be	AUX
fumecheng-7612	639	17	verified	verify	VERB
fumecheng-7612	639	18	by	by	ADP
fumecheng-7612	639	19	using	use	VERB
fumecheng-7612	639	20	the	the	DET
fumecheng-7612	639	21	iterative	iterative	NOUN
fumecheng-7612	639	22	and	and	CCONJ
fumecheng-7612	639	23	non	non	ADJ
fumecheng-7612	639	24	-	-	ADJ
fumecheng-7612	639	25	iterative	iterative	ADJ
fumecheng-7612	639	26	method	method	NOUN
fumecheng-7612	639	27	to	to	PART
fumecheng-7612	639	28	calculate	calculate	VERB
fumecheng-7612	639	29	the	the	DET
fumecheng-7612	639	30	vibration	vibration	NOUN
fumecheng-7612	639	31	response	response	NOUN
fumecheng-7612	639	32	of	of	ADP
fumecheng-7612	639	33	non	non	ADJ
fumecheng-7612	639	34	-	-	ADJ
fumecheng-7612	639	35	uniform	uniform	ADJ
fumecheng-7612	639	36	beam	beam	NOUN
fumecheng-7612	639	37	with	with	ADP
fumecheng-7612	639	38	linear	linear	PROPN
fumecheng-7612	639	39	boundary	boundary	NOUN
fumecheng-7612	639	40	,	,	PUNCT
fumecheng-7612	639	41	and	and	CCONJ
fumecheng-7612	639	42	the	the	DET
fumecheng-7612	639	43	iterative	iterative	NOUN
fumecheng-7612	639	44	method	method	NOUN
fumecheng-7612	639	45	to	to	PART
fumecheng-7612	639	46	calculate	calculate	VERB
fumecheng-7612	639	47	the	the	DET
fumecheng-7612	639	48	vibration	vibration	NOUN
fumecheng-7612	639	49	response	response	NOUN
fumecheng-7612	639	50	of	of	ADP
fumecheng-7612	639	51	beam	beam	NOUN
fumecheng-7612	639	52	with	with	ADP
fumecheng-7612	639	53	weakly	weakly	ADJ
fumecheng-7612	639	54	nonlinear	nonlinear	ADJ
fumecheng-7612	639	55	boundary	boundary	NOUN
fumecheng-7612	639	56	defined	define	VERB
fumecheng-7612	639	57	by	by	ADP
fumecheng-7612	639	58	that	that	DET
fumecheng-7612	639	59	kl	kl	PROPN
fumecheng-7612	639	60	changes	change	NOUN
fumecheng-7612	639	61	within	within	ADP
fumecheng-7612	639	62	a	a	DET
fumecheng-7612	639	63	small	small	ADJ
fumecheng-7612	639	64	range	range	NOUN
fumecheng-7612	639	65	796	796	NUM
fumecheng-7612	639	66	p.	p.	NOUN
fumecheng-7612	639	67	wang	wang	PROPN
fumecheng-7612	639	68	,	,	PUNCT
fumecheng-7612	639	69	n.	n.	PROPN
fumecheng-7612	639	70	wu	wu	PROPN
fumecheng-7612	639	71	,	,	PUNCT
fumecheng-7612	639	72	h.	h.	PROPN
fumecheng-7612	639	73	luo	luo	PROPN
fumecheng-7612	639	74	,	,	PUNCT
fumecheng-7612	639	75	z.	z.	PROPN
fumecheng-7612	639	76	sun	sun	PROPN
fumecheng-7612	639	77	(	(	PUNCT
fumecheng-7612	639	78	kl=20000	kl=20000	PROPN
fumecheng-7612	639	79	-	-	PUNCT
fumecheng-7612	639	80	21800	21800	NUM
fumecheng-7612	639	81	n	n	CCONJ
fumecheng-7612	639	82	/	/	SYM
fumecheng-7612	639	83	m	m	PROPN
fumecheng-7612	639	84	)	)	PUNCT
fumecheng-7612	639	85	.	.	PUNCT
fumecheng-7612	640	1	the	the	DET
fumecheng-7612	640	2	excitation	excitation	NOUN
fumecheng-7612	640	3	angular	angular	ADJ
fumecheng-7612	640	4	frequency	frequency	NOUN
fumecheng-7612	640	5	of	of	ADP
fumecheng-7612	640	6			PROPN
fumecheng-7612	640	7	=	=	SYM
fumecheng-7612	640	8	672	672	NUM
fumecheng-7612	640	9	rad	rad	NOUN
fumecheng-7612	640	10	/	/	SYM
fumecheng-7612	640	11	s	s	NOUN
fumecheng-7612	640	12	and	and	CCONJ
fumecheng-7612	640	13	the	the	DET
fumecheng-7612	640	14	base	base	NOUN
fumecheng-7612	640	15	motion	motion	NOUN
fumecheng-7612	640	16	amplitude	amplitude	NOUN
fumecheng-7612	640	17	of	of	ADP
fumecheng-7612	640	18	y=0.005	y=0.005	NUM
fumecheng-7612	640	19	m	m	VERB
fumecheng-7612	640	20	are	be	AUX
fumecheng-7612	640	21	chosen	choose	VERB
fumecheng-7612	640	22	for	for	ADP
fumecheng-7612	640	23	the	the	DET
fumecheng-7612	640	24	verification	verification	NOUN
fumecheng-7612	640	25	.	.	PUNCT
fumecheng-7612	641	1	for	for	ADP
fumecheng-7612	641	2	the	the	DET
fumecheng-7612	641	3	kl	kl	PROPN
fumecheng-7612	641	4	values	value	NOUN
fumecheng-7612	641	5	with	with	ADP
fumecheng-7612	641	6	weak	weak	ADJ
fumecheng-7612	641	7	nonlinearity	nonlinearity	NOUN
fumecheng-7612	641	8	,	,	PUNCT
fumecheng-7612	641	9	the	the	DET
fumecheng-7612	641	10	amplitudes	amplitude	NOUN
fumecheng-7612	641	11	of	of	ADP
fumecheng-7612	641	12	steady	steady	ADJ
fumecheng-7612	641	13	state	state	NOUN
fumecheng-7612	641	14	deflections	deflection	NOUN
fumecheng-7612	641	15	and	and	CCONJ
fumecheng-7612	641	16	their	their	PRON
fumecheng-7612	641	17	corresponding	corresponding	ADJ
fumecheng-7612	641	18	sectional	sectional	ADJ
fumecheng-7612	641	19	intervals	interval	NOUN
fumecheng-7612	641	20	are	be	AUX
fumecheng-7612	641	21	shown	show	VERB
fumecheng-7612	641	22	in	in	ADP
fumecheng-7612	641	23	table	table	NOUN
fumecheng-7612	641	24	.	.	PUNCT
fumecheng-7612	642	1	2	2	X
fumecheng-7612	642	2	.	.	X
fumecheng-7612	642	3	when	when	SCONJ
fumecheng-7612	642	4	values	value	NOUN
fumecheng-7612	642	5	of	of	ADP
fumecheng-7612	642	6	kl	kl	PROPN
fumecheng-7612	642	7	are	be	AUX
fumecheng-7612	642	8	different	different	ADJ
fumecheng-7612	642	9	,	,	PUNCT
fumecheng-7612	642	10	the	the	DET
fumecheng-7612	642	11	mode	mode	NOUN
fumecheng-7612	642	12	functions	function	NOUN
fumecheng-7612	642	13	and	and	CCONJ
fumecheng-7612	642	14	natural	natural	ADJ
fumecheng-7612	642	15	frequencies	frequency	NOUN
fumecheng-7612	642	16	of	of	ADP
fumecheng-7612	642	17	the	the	DET
fumecheng-7612	642	18	beam	beam	NOUN
fumecheng-7612	642	19	are	be	AUX
fumecheng-7612	642	20	different	different	ADJ
fumecheng-7612	642	21	,	,	PUNCT
fumecheng-7612	642	22	and	and	CCONJ
fumecheng-7612	642	23	the	the	DET
fumecheng-7612	642	24	amplitudes	amplitude	NOUN
fumecheng-7612	642	25	of	of	ADP
fumecheng-7612	642	26	steady	steady	ADJ
fumecheng-7612	642	27	state	state	NOUN
fumecheng-7612	642	28	deflections	deflection	NOUN
fumecheng-7612	642	29	at	at	ADP
fumecheng-7612	642	30	left	left	ADJ
fumecheng-7612	642	31	end	end	NOUN
fumecheng-7612	642	32	are	be	AUX
fumecheng-7612	642	33	also	also	ADV
fumecheng-7612	642	34	different	different	ADJ
fumecheng-7612	642	35	.	.	PUNCT
fumecheng-7612	643	1	the	the	DET
fumecheng-7612	643	2	amplitudes	amplitude	NOUN
fumecheng-7612	643	3	of	of	ADP
fumecheng-7612	643	4	steady	steady	ADJ
fumecheng-7612	643	5	state	state	NOUN
fumecheng-7612	643	6	deflections	deflection	NOUN
fumecheng-7612	643	7	at	at	ADP
fumecheng-7612	643	8	left	left	ADJ
fumecheng-7612	643	9	end	end	NOUN
fumecheng-7612	643	10	shown	show	VERB
fumecheng-7612	643	11	in	in	ADP
fumecheng-7612	643	12	table	table	NOUN
fumecheng-7612	643	13	.	.	PUNCT
fumecheng-7612	644	1	2	2	NUM
fumecheng-7612	644	2	will	will	AUX
fumecheng-7612	644	3	be	be	AUX
fumecheng-7612	644	4	larger	larger	ADV
fumecheng-7612	644	5	closer	close	ADV
fumecheng-7612	644	6	to	to	ADP
fumecheng-7612	644	7	resonance	resonance	NOUN
fumecheng-7612	644	8	.	.	PUNCT
fumecheng-7612	645	1	since	since	SCONJ
fumecheng-7612	645	2	the	the	DET
fumecheng-7612	645	3	variation	variation	NOUN
fumecheng-7612	645	4	range	range	NOUN
fumecheng-7612	645	5	of	of	ADP
fumecheng-7612	645	6	kl	kl	PROPN
fumecheng-7612	645	7	is	be	AUX
fumecheng-7612	645	8	very	very	ADV
fumecheng-7612	645	9	small	small	ADJ
fumecheng-7612	645	10	,	,	PUNCT
fumecheng-7612	645	11	it	it	PRON
fumecheng-7612	645	12	is	be	AUX
fumecheng-7612	645	13	considered	consider	VERB
fumecheng-7612	645	14	that	that	SCONJ
fumecheng-7612	645	15	the	the	DET
fumecheng-7612	645	16	values	value	NOUN
fumecheng-7612	645	17	of	of	ADP
fumecheng-7612	645	18	kl	kl	PROPN
fumecheng-7612	645	19	change	change	VERB
fumecheng-7612	645	20	linearly	linearly	ADV
fumecheng-7612	645	21	with	with	ADP
fumecheng-7612	645	22	deflections	deflection	NOUN
fumecheng-7612	645	23	variation	variation	NOUN
fumecheng-7612	645	24	at	at	ADP
fumecheng-7612	645	25	the	the	DET
fumecheng-7612	645	26	left	left	ADJ
fumecheng-7612	645	27	end	end	NOUN
fumecheng-7612	645	28	of	of	ADP
fumecheng-7612	645	29	the	the	DET
fumecheng-7612	645	30	beam	beam	NOUN
fumecheng-7612	645	31	.	.	PUNCT
fumecheng-7612	646	1	when	when	SCONJ
fumecheng-7612	646	2	the	the	DET
fumecheng-7612	646	3	deflection	deflection	NOUN
fumecheng-7612	646	4	at	at	ADP
fumecheng-7612	646	5	the	the	DET
fumecheng-7612	646	6	left	left	ADJ
fumecheng-7612	646	7	end	end	NOUN
fumecheng-7612	646	8	is	be	AUX
fumecheng-7612	646	9	larger	large	ADJ
fumecheng-7612	646	10	than	than	ADP
fumecheng-7612	646	11	the	the	DET
fumecheng-7612	646	12	corresponding	corresponding	ADJ
fumecheng-7612	646	13	range	range	NOUN
fumecheng-7612	646	14	of	of	ADP
fumecheng-7612	646	15	sectional	sectional	ADJ
fumecheng-7612	646	16	intervals	interval	NOUN
fumecheng-7612	646	17	,	,	PUNCT
fumecheng-7612	646	18	the	the	DET
fumecheng-7612	646	19	value	value	NOUN
fumecheng-7612	646	20	of	of	ADP
fumecheng-7612	646	21	kl	kl	PROPN
fumecheng-7612	646	22	will	will	AUX
fumecheng-7612	646	23	change	change	VERB
fumecheng-7612	646	24	.	.	PUNCT
fumecheng-7612	647	1	vibrations	vibration	NOUN
fumecheng-7612	647	2	of	of	ADP
fumecheng-7612	647	3	the	the	DET
fumecheng-7612	647	4	non	non	ADJ
fumecheng-7612	647	5	-	-	ADJ
fumecheng-7612	647	6	uniform	uniform	ADJ
fumecheng-7612	647	7	beam	beam	NOUN
fumecheng-7612	647	8	at	at	ADP
fumecheng-7612	647	9	its	its	PRON
fumecheng-7612	647	10	free	free	ADJ
fumecheng-7612	647	11	end	end	NOUN
fumecheng-7612	647	12	in	in	ADP
fumecheng-7612	647	13	time	time	NOUN
fumecheng-7612	647	14	domain	domain	NOUN
fumecheng-7612	647	15	are	be	AUX
fumecheng-7612	647	16	shown	show	VERB
fumecheng-7612	647	17	in	in	ADP
fumecheng-7612	647	18	fig	fig	NOUN
fumecheng-7612	647	19	.	.	PUNCT
fumecheng-7612	648	1	3	3	X
fumecheng-7612	648	2	.	.	NOUN
fumecheng-7612	648	3	table	table	NOUN
fumecheng-7612	648	4	2	2	NUM
fumecheng-7612	648	5	kl	kl	NOUN
fumecheng-7612	648	6	values	value	NOUN
fumecheng-7612	648	7	,	,	PUNCT
fumecheng-7612	648	8	amplitudes	amplitude	NOUN
fumecheng-7612	648	9	of	of	ADP
fumecheng-7612	648	10	steady	steady	ADJ
fumecheng-7612	648	11	state	state	NOUN
fumecheng-7612	648	12	deflection	deflection	NOUN
fumecheng-7612	648	13	and	and	CCONJ
fumecheng-7612	648	14	corresponding	corresponding	ADJ
fumecheng-7612	648	15	sectional	sectional	ADJ
fumecheng-7612	648	16	intervals	interval	NOUN
fumecheng-7612	648	17	kl	kl	PROPN
fumecheng-7612	648	18	values	value	NOUN
fumecheng-7612	648	19	(	(	PUNCT
fumecheng-7612	648	20	n	n	CCONJ
fumecheng-7612	648	21	/	/	SYM
fumecheng-7612	648	22	m	m	NOUN
fumecheng-7612	648	23	)	)	PUNCT
fumecheng-7612	648	24	amplitudes	amplitude	NOUN
fumecheng-7612	648	25	of	of	ADP
fumecheng-7612	648	26	steady	steady	ADJ
fumecheng-7612	648	27	state	state	NOUN
fumecheng-7612	648	28	deflections	deflection	NOUN
fumecheng-7612	648	29	at	at	ADP
fumecheng-7612	648	30	left	left	ADJ
fumecheng-7612	648	31	end	end	NOUN
fumecheng-7612	648	32	(	(	PUNCT
fumecheng-7612	648	33	m	m	NOUN
fumecheng-7612	648	34	)	)	PUNCT
fumecheng-7612	648	35	sectional	sectional	ADJ
fumecheng-7612	648	36	intervals	interval	NOUN
fumecheng-7612	648	37	of	of	ADP
fumecheng-7612	648	38	deflection	deflection	NOUN
fumecheng-7612	648	39	at	at	ADP
fumecheng-7612	648	40	left	left	ADJ
fumecheng-7612	648	41	end	end	NOUN
fumecheng-7612	648	42	(	(	PUNCT
fumecheng-7612	648	43	m	m	NOUN
fumecheng-7612	648	44	)	)	PUNCT
fumecheng-7612	648	45	20000	20000	NUM
fumecheng-7612	648	46	0.008154417514000	0.008154417514000	NUM
fumecheng-7612	648	47	0	0	NUM
fumecheng-7612	648	48	-	-	SYM
fumecheng-7612	648	49	0.000855	0.000855	NUM
fumecheng-7612	648	50	20200	20200	NUM
fumecheng-7612	648	51	0.008205248588000	0.008205248588000	NUM
fumecheng-7612	649	1	0.000855	0.000855	NUM
fumecheng-7612	649	2	-	-	PUNCT
fumecheng-7612	649	3	0.00171	0.00171	NUM
fumecheng-7612	649	4	20400	20400	NUM
fumecheng-7612	649	5	0.008256681170000	0.008256681170000	NUM
fumecheng-7612	649	6	0.00171	0.00171	NUM
fumecheng-7612	649	7	-	-	SYM
fumecheng-7612	649	8	0.002565	0.002565	NUM
fumecheng-7612	649	9	20600	20600	NUM
fumecheng-7612	649	10	0.008308729902000	0.008308729902000	NUM
fumecheng-7612	649	11	0.002565	0.002565	NUM
fumecheng-7612	649	12	-	-	SYM
fumecheng-7612	649	13	0.00343	0.00343	NUM
fumecheng-7612	649	14	20800	20800	NUM
fumecheng-7612	649	15	0.008361411807000	0.008361411807000	NUM
fumecheng-7612	649	16	0.00343	0.00343	NUM
fumecheng-7612	649	17	-	-	PUNCT
fumecheng-7612	649	18	0.004275	0.004275	NUM
fumecheng-7612	649	19	21000	21000	NUM
fumecheng-7612	649	20	0.008414724816000	0.008414724816000	NUM
fumecheng-7612	649	21	0.004275	0.004275	NUM
fumecheng-7612	649	22	-	-	SYM
fumecheng-7612	649	23	0.00513	0.00513	NUM
fumecheng-7612	649	24	21200	21200	NUM
fumecheng-7612	649	25	0.008468682431000	0.008468682431000	NUM
fumecheng-7612	649	26	0.00513	0.00513	NUM
fumecheng-7612	649	27	-	-	SYM
fumecheng-7612	649	28	0.005985	0.005985	NUM
fumecheng-7612	649	29	21400	21400	NUM
fumecheng-7612	649	30	0.008523295153000	0.008523295153000	NUM
fumecheng-7612	649	31	0.005985	0.005985	NUM
fumecheng-7612	649	32	-	-	SYM
fumecheng-7612	649	33	0.00684	0.00684	NUM
fumecheng-7612	649	34	21600	21600	NUM
fumecheng-7612	649	35	0.008578582863000	0.008578582863000	NUM
fumecheng-7612	649	36	0.0684	0.0684	NUM
fumecheng-7612	649	37	-	-	PUNCT
fumecheng-7612	649	38	0.007695	0.007695	NUM
fumecheng-7612	649	39	21800	21800	NUM
fumecheng-7612	649	40	0.008634553316000	0.008634553316000	NUM
fumecheng-7612	649	41	0.007695	0.007695	NUM
fumecheng-7612	649	42	fig	fig	NOUN
fumecheng-7612	649	43	.	.	PUNCT
fumecheng-7612	650	1	3	3	NUM
fumecheng-7612	650	2	deflections	deflection	NOUN
fumecheng-7612	650	3	of	of	ADP
fumecheng-7612	650	4	non	non	ADJ
fumecheng-7612	650	5	-	-	ADJ
fumecheng-7612	650	6	uniform	uniform	ADJ
fumecheng-7612	650	7	beam	beam	NOUN
fumecheng-7612	650	8	solved	solve	VERB
fumecheng-7612	650	9	by	by	ADP
fumecheng-7612	650	10	iterative	iterative	NOUN
fumecheng-7612	650	11	and	and	CCONJ
fumecheng-7612	650	12	non	non	ADJ
fumecheng-7612	650	13	-	-	ADJ
fumecheng-7612	650	14	iterative	iterative	ADJ
fumecheng-7612	650	15	method	method	NOUN
fumecheng-7612	650	16	in	in	ADP
fumecheng-7612	650	17	time	time	NOUN
fumecheng-7612	650	18	domain	domain	NOUN
fumecheng-7612	650	19	study	study	NOUN
fumecheng-7612	650	20	on	on	ADP
fumecheng-7612	650	21	vibration	vibration	NOUN
fumecheng-7612	650	22	response	response	NOUN
fumecheng-7612	650	23	of	of	ADP
fumecheng-7612	650	24	a	a	DET
fumecheng-7612	650	25	non	non	ADJ
fumecheng-7612	650	26	-	-	ADJ
fumecheng-7612	650	27	uniform	uniform	ADJ
fumecheng-7612	650	28	beam	beam	NOUN
fumecheng-7612	650	29	with	with	ADP
fumecheng-7612	650	30	nonlinear	nonlinear	ADJ
fumecheng-7612	650	31	boundary	boundary	ADJ
fumecheng-7612	650	32	condition	condition	NOUN
fumecheng-7612	650	33	797	797	NUM
fumecheng-7612	650	34	it	it	PRON
fumecheng-7612	650	35	can	can	AUX
fumecheng-7612	650	36	be	be	AUX
fumecheng-7612	650	37	seen	see	VERB
fumecheng-7612	650	38	from	from	ADP
fumecheng-7612	650	39	fig	fig	NOUN
fumecheng-7612	650	40	.	.	PUNCT
fumecheng-7612	651	1	3	3	NUM
fumecheng-7612	651	2	that	that	SCONJ
fumecheng-7612	651	3	the	the	DET
fumecheng-7612	651	4	results	result	NOUN
fumecheng-7612	651	5	of	of	ADP
fumecheng-7612	651	6	vibration	vibration	NOUN
fumecheng-7612	651	7	response	response	NOUN
fumecheng-7612	651	8	of	of	ADP
fumecheng-7612	651	9	non	non	ADJ
fumecheng-7612	651	10	-	-	ADJ
fumecheng-7612	651	11	uniform	uniform	ADJ
fumecheng-7612	651	12	beam	beam	NOUN
fumecheng-7612	651	13	with	with	ADP
fumecheng-7612	651	14	linear	linear	PROPN
fumecheng-7612	651	15	boundary	boundary	NOUN
fumecheng-7612	651	16	obtained	obtain	VERB
fumecheng-7612	651	17	by	by	ADP
fumecheng-7612	651	18	the	the	DET
fumecheng-7612	651	19	iterative	iterative	NOUN
fumecheng-7612	651	20	and	and	CCONJ
fumecheng-7612	651	21	non	non	ADJ
fumecheng-7612	651	22	-	-	ADJ
fumecheng-7612	651	23	iterative	iterative	ADJ
fumecheng-7612	651	24	method	method	NOUN
fumecheng-7612	651	25	are	be	AUX
fumecheng-7612	651	26	consistent	consistent	ADJ
fumecheng-7612	651	27	with	with	ADP
fumecheng-7612	651	28	each	each	DET
fumecheng-7612	651	29	other	other	ADJ
fumecheng-7612	651	30	which	which	PRON
fumecheng-7612	651	31	preliminarily	preliminarily	ADV
fumecheng-7612	651	32	proves	prove	VERB
fumecheng-7612	651	33	the	the	DET
fumecheng-7612	651	34	accuracy	accuracy	NOUN
fumecheng-7612	651	35	of	of	ADP
fumecheng-7612	651	36	the	the	DET
fumecheng-7612	651	37	iterative	iterative	NOUN
fumecheng-7612	651	38	process	process	NOUN
fumecheng-7612	651	39	.	.	PUNCT
fumecheng-7612	652	1	the	the	DET
fumecheng-7612	652	2	difference	difference	NOUN
fumecheng-7612	652	3	between	between	ADP
fumecheng-7612	652	4	the	the	DET
fumecheng-7612	652	5	vibration	vibration	NOUN
fumecheng-7612	652	6	response	response	NOUN
fumecheng-7612	652	7	of	of	ADP
fumecheng-7612	652	8	the	the	DET
fumecheng-7612	652	9	beam	beam	NOUN
fumecheng-7612	652	10	with	with	ADP
fumecheng-7612	652	11	weakly	weakly	ADJ
fumecheng-7612	652	12	nonlinear	nonlinear	ADJ
fumecheng-7612	652	13	boundary	boundary	NOUN
fumecheng-7612	652	14	and	and	CCONJ
fumecheng-7612	652	15	that	that	SCONJ
fumecheng-7612	652	16	with	with	ADP
fumecheng-7612	652	17	linear	linear	PROPN
fumecheng-7612	652	18	boundary	boundary	NOUN
fumecheng-7612	652	19	solved	solve	VERB
fumecheng-7612	652	20	by	by	ADP
fumecheng-7612	652	21	the	the	DET
fumecheng-7612	652	22	iterative	iterative	NOUN
fumecheng-7612	652	23	method	method	NOUN
fumecheng-7612	652	24	is	be	AUX
fumecheng-7612	652	25	very	very	ADV
fumecheng-7612	652	26	small	small	ADJ
fumecheng-7612	652	27	,	,	PUNCT
fumecheng-7612	652	28	which	which	PRON
fumecheng-7612	652	29	further	far	ADV
fumecheng-7612	652	30	proves	prove	VERB
fumecheng-7612	652	31	the	the	DET
fumecheng-7612	652	32	correct	correct	ADJ
fumecheng-7612	652	33	consideration	consideration	NOUN
fumecheng-7612	652	34	of	of	ADP
fumecheng-7612	652	35	the	the	DET
fumecheng-7612	652	36	nonlinearity	nonlinearity	NOUN
fumecheng-7612	652	37	with	with	ADP
fumecheng-7612	652	38	the	the	DET
fumecheng-7612	652	39	iterative	iterative	NOUN
fumecheng-7612	652	40	method	method	NOUN
fumecheng-7612	652	41	.	.	PUNCT
fumecheng-7612	653	1	3.2	3.2	NUM
fumecheng-7612	653	2	.	.	PUNCT
fumecheng-7612	654	1	sin	sin	NOUN
fumecheng-7612	654	2	-	-	PUNCT
fumecheng-7612	654	3	sweep	sweep	NOUN
fumecheng-7612	654	4	curves	curve	VERB
fumecheng-7612	654	5	the	the	DET
fumecheng-7612	654	6	vibration	vibration	NOUN
fumecheng-7612	654	7	of	of	ADP
fumecheng-7612	654	8	the	the	DET
fumecheng-7612	654	9	non	non	ADJ
fumecheng-7612	654	10	-	-	ADJ
fumecheng-7612	654	11	uniform	uniform	ADJ
fumecheng-7612	654	12	beam	beam	NOUN
fumecheng-7612	654	13	with	with	ADP
fumecheng-7612	654	14	nonlinear	nonlinear	ADJ
fumecheng-7612	654	15	boundary	boundary	ADJ
fumecheng-7612	654	16	condition	condition	NOUN
fumecheng-7612	654	17	under	under	ADP
fumecheng-7612	654	18	different	different	ADJ
fumecheng-7612	654	19	excitation	excitation	NOUN
fumecheng-7612	654	20	frequencies	frequency	NOUN
fumecheng-7612	654	21	are	be	AUX
fumecheng-7612	654	22	studied	study	VERB
fumecheng-7612	654	23	in	in	ADP
fumecheng-7612	654	24	this	this	DET
fumecheng-7612	654	25	section	section	NOUN
fumecheng-7612	654	26	.	.	PUNCT
fumecheng-7612	655	1	for	for	ADP
fumecheng-7612	655	2	the	the	DET
fumecheng-7612	655	3	varying	vary	VERB
fumecheng-7612	655	4	frequency	frequency	NOUN
fumecheng-7612	655	5	of	of	ADP
fumecheng-7612	655	6	the	the	DET
fumecheng-7612	655	7	base	base	NOUN
fumecheng-7612	655	8	-	-	PUNCT
fumecheng-7612	655	9	motion	motion	NOUN
fumecheng-7612	655	10	excitation	excitation	NOUN
fumecheng-7612	655	11	from	from	ADP
fumecheng-7612	655	12	200	200	NUM
fumecheng-7612	655	13	to	to	PART
fumecheng-7612	655	14	850	850	NUM
fumecheng-7612	655	15	rad	rad	NOUN
fumecheng-7612	655	16	/	/	SYM
fumecheng-7612	655	17	s	s	PROPN
fumecheng-7612	655	18	,	,	PUNCT
fumecheng-7612	655	19	the	the	DET
fumecheng-7612	655	20	magnitude	magnitude	NOUN
fumecheng-7612	655	21	of	of	ADP
fumecheng-7612	655	22	the	the	DET
fumecheng-7612	655	23	base	base	NOUN
fumecheng-7612	655	24	-	-	PUNCT
fumecheng-7612	655	25	motion	motion	NOUN
fumecheng-7612	655	26	induced	induce	VERB
fumecheng-7612	655	27	inertia	inertia	NOUN
fumecheng-7612	655	28	force	force	NOUN
fumecheng-7612	655	29	is	be	AUX
fumecheng-7612	655	30	kept	keep	VERB
fumecheng-7612	655	31	equal	equal	ADJ
fumecheng-7612	655	32	.	.	PUNCT
fumecheng-7612	656	1	the	the	DET
fumecheng-7612	656	2	kl	kl	PROPN
fumecheng-7612	656	3	values	value	NOUN
fumecheng-7612	656	4	,	,	PUNCT
fumecheng-7612	656	5	the	the	DET
fumecheng-7612	656	6	amplitudes	amplitude	NOUN
fumecheng-7612	656	7	of	of	ADP
fumecheng-7612	656	8	steady	steady	ADJ
fumecheng-7612	656	9	state	state	NOUN
fumecheng-7612	656	10	deflections	deflection	NOUN
fumecheng-7612	656	11	and	and	CCONJ
fumecheng-7612	656	12	their	their	PRON
fumecheng-7612	656	13	corresponding	corresponding	ADJ
fumecheng-7612	656	14	sectional	sectional	ADJ
fumecheng-7612	656	15	intervals	interval	NOUN
fumecheng-7612	656	16	are	be	AUX
fumecheng-7612	656	17	the	the	DET
fumecheng-7612	656	18	same	same	ADJ
fumecheng-7612	656	19	as	as	ADP
fumecheng-7612	656	20	the	the	DET
fumecheng-7612	656	21	values	value	NOUN
fumecheng-7612	656	22	given	give	VERB
fumecheng-7612	656	23	in	in	ADP
fumecheng-7612	656	24	table	table	NOUN
fumecheng-7612	656	25	.	.	PUNCT
fumecheng-7612	657	1	3	3	X
fumecheng-7612	657	2	.	.	X
fumecheng-7612	657	3	the	the	DET
fumecheng-7612	657	4	value	value	NOUN
fumecheng-7612	657	5	of	of	ADP
fumecheng-7612	657	6	kl	kl	PROPN
fumecheng-7612	657	7	is	be	AUX
fumecheng-7612	657	8	determined	determine	VERB
fumecheng-7612	657	9	by	by	ADP
fumecheng-7612	657	10	the	the	DET
fumecheng-7612	657	11	deflections	deflection	NOUN
fumecheng-7612	657	12	at	at	ADP
fumecheng-7612	657	13	the	the	DET
fumecheng-7612	657	14	left	left	ADJ
fumecheng-7612	657	15	end	end	NOUN
fumecheng-7612	657	16	and	and	CCONJ
fumecheng-7612	657	17	varies	vary	VERB
fumecheng-7612	657	18	nonlinearly	nonlinearly	ADV
fumecheng-7612	657	19	.	.	PUNCT
fumecheng-7612	658	1	it	it	PRON
fumecheng-7612	658	2	only	only	ADV
fumecheng-7612	658	3	represents	represent	VERB
fumecheng-7612	658	4	one	one	NUM
fumecheng-7612	658	5	of	of	ADP
fumecheng-7612	658	6	the	the	DET
fumecheng-7612	658	7	cases	case	NOUN
fumecheng-7612	658	8	that	that	SCONJ
fumecheng-7612	658	9	the	the	DET
fumecheng-7612	658	10	spring	spring	NOUN
fumecheng-7612	658	11	coefficient	coefficient	NOUN
fumecheng-7612	658	12	changes	change	VERB
fumecheng-7612	658	13	with	with	ADP
fumecheng-7612	658	14	the	the	DET
fumecheng-7612	658	15	deflection	deflection	NOUN
fumecheng-7612	658	16	.	.	PUNCT
fumecheng-7612	659	1	maximum	maximum	ADJ
fumecheng-7612	659	2	steady	steady	ADJ
fumecheng-7612	659	3	state	state	NOUN
fumecheng-7612	659	4	vibration	vibration	NOUN
fumecheng-7612	659	5	deflection	deflection	NOUN
fumecheng-7612	659	6	at	at	ADP
fumecheng-7612	659	7	free	free	ADJ
fumecheng-7612	659	8	end	end	NOUN
fumecheng-7612	659	9	of	of	ADP
fumecheng-7612	659	10	non	non	ADJ
fumecheng-7612	659	11	-	-	ADJ
fumecheng-7612	659	12	uniform	uniform	ADJ
fumecheng-7612	659	13	beam	beam	NOUN
fumecheng-7612	659	14	under	under	ADP
fumecheng-7612	659	15	a	a	DET
fumecheng-7612	659	16	harmonic	harmonic	ADJ
fumecheng-7612	659	17	sweep	sweep	NOUN
fumecheng-7612	659	18	test	test	NOUN
fumecheng-7612	659	19	with	with	ADP
fumecheng-7612	659	20	different	different	ADJ
fumecheng-7612	659	21	excitation	excitation	NOUN
fumecheng-7612	659	22	frequencies	frequency	NOUN
fumecheng-7612	659	23	are	be	AUX
fumecheng-7612	659	24	shown	show	VERB
fumecheng-7612	659	25	in	in	ADP
fumecheng-7612	659	26	fig	fig	NOUN
fumecheng-7612	659	27	.	.	PUNCT
fumecheng-7612	660	1	4	4	X
fumecheng-7612	660	2	.	.	NOUN
fumecheng-7612	660	3	table	table	NOUN
fumecheng-7612	660	4	3	3	NUM
fumecheng-7612	660	5	kl	kl	NOUN
fumecheng-7612	660	6	values	value	NOUN
fumecheng-7612	660	7	,	,	PUNCT
fumecheng-7612	660	8	amplitudes	amplitude	NOUN
fumecheng-7612	660	9	of	of	ADP
fumecheng-7612	660	10	steady	steady	ADJ
fumecheng-7612	660	11	state	state	NOUN
fumecheng-7612	660	12	deflections	deflection	NOUN
fumecheng-7612	660	13	and	and	CCONJ
fumecheng-7612	660	14	corresponding	corresponding	ADJ
fumecheng-7612	660	15	sectional	sectional	ADJ
fumecheng-7612	660	16	intervals	interval	NOUN
fumecheng-7612	660	17	kl	kl	PROPN
fumecheng-7612	660	18	values	value	NOUN
fumecheng-7612	660	19	(	(	PUNCT
fumecheng-7612	660	20	n	n	CCONJ
fumecheng-7612	660	21	/	/	SYM
fumecheng-7612	660	22	m	m	NOUN
fumecheng-7612	660	23	)	)	PUNCT
fumecheng-7612	660	24	amplitudes	amplitude	NOUN
fumecheng-7612	660	25	of	of	ADP
fumecheng-7612	660	26	steady	steady	ADJ
fumecheng-7612	660	27	state	state	NOUN
fumecheng-7612	660	28	deflections	deflection	NOUN
fumecheng-7612	660	29	at	at	ADP
fumecheng-7612	660	30	left	left	ADJ
fumecheng-7612	660	31	end	end	NOUN
fumecheng-7612	660	32	(	(	PUNCT
fumecheng-7612	660	33	m	m	NOUN
fumecheng-7612	660	34	)	)	PUNCT
fumecheng-7612	660	35	sectional	sectional	ADJ
fumecheng-7612	660	36	intervals	interval	NOUN
fumecheng-7612	660	37	of	of	ADP
fumecheng-7612	660	38	deflection	deflection	NOUN
fumecheng-7612	660	39	at	at	ADP
fumecheng-7612	660	40	left	left	ADJ
fumecheng-7612	660	41	end	end	NOUN
fumecheng-7612	660	42	(	(	PUNCT
fumecheng-7612	660	43	m	m	NOUN
fumecheng-7612	660	44	)	)	PUNCT
fumecheng-7612	660	45	20000	20000	NUM
fumecheng-7612	660	46	0.008154417514000	0.008154417514000	NUM
fumecheng-7612	660	47	0	0	NUM
fumecheng-7612	660	48	-	-	SYM
fumecheng-7612	660	49	0.002	0.002	NUM
fumecheng-7612	660	50	22759	22759	NUM
fumecheng-7612	660	51	0.008912748913000	0.008912748913000	NUM
fumecheng-7612	660	52	0.002	0.002	NUM
fumecheng-7612	660	53	-	-	SYM
fumecheng-7612	660	54	0.004	0.004	NUM
fumecheng-7612	660	55	31594	31594	NUM
fumecheng-7612	660	56	0.012528617870000	0.012528617870000	NUM
fumecheng-7612	660	57	0.004	0.004	NUM
fumecheng-7612	660	58	-	-	SYM
fumecheng-7612	660	59	0.006	0.006	NUM
fumecheng-7612	660	60	41120	41120	NUM
fumecheng-7612	660	61	0.020219170700000	0.020219170700000	NUM
fumecheng-7612	660	62	0.006	0.006	NUM
fumecheng-7612	660	63	-	-	SYM
fumecheng-7612	660	64	0.008	0.008	NUM
fumecheng-7612	660	65	50863	50863	NUM
fumecheng-7612	660	66	0.026634596390000	0.026634596390000	NUM
fumecheng-7612	660	67	0.008	0.008	NUM
fumecheng-7612	660	68	-	-	PUNCT
fumecheng-7612	660	69	0.01	0.01	NUM
fumecheng-7612	660	70	60702	60702	NUM
fumecheng-7612	660	71	0.017120586210000	0.017120586210000	NUM
fumecheng-7612	660	72	0.01	0.01	NUM
fumecheng-7612	660	73	-	-	PUNCT
fumecheng-7612	660	74	0.012	0.012	NUM
fumecheng-7612	660	75	70591	70591	NUM
fumecheng-7612	660	76	0.010843838260000	0.010843838260000	NUM
fumecheng-7612	660	77	0.012	0.012	NUM
fumecheng-7612	660	78	-	-	PUNCT
fumecheng-7612	660	79	0.014	0.014	NUM
fumecheng-7612	660	80	80511	80511	NUM
fumecheng-7612	660	81	0.007735876899000	0.007735876899000	NUM
fumecheng-7612	660	82	0.014	0.014	NUM
fumecheng-7612	660	83	-	-	PUNCT
fumecheng-7612	660	84	0.016	0.016	NUM
fumecheng-7612	660	85	90450	90450	NUM
fumecheng-7612	660	86	0.005971986427000	0.005971986427000	NUM
fumecheng-7612	660	87	0.016	0.016	NUM
fumecheng-7612	660	88	-	-	PUNCT
fumecheng-7612	660	89	0.018	0.018	NUM
fumecheng-7612	660	90	100402	100402	NUM
fumecheng-7612	660	91	0.004850948731000	0.004850948731000	NUM
fumecheng-7612	660	92	0.018	0.018	NUM
fumecheng-7612	660	93	it	it	PRON
fumecheng-7612	660	94	can	can	AUX
fumecheng-7612	660	95	be	be	AUX
fumecheng-7612	660	96	seen	see	VERB
fumecheng-7612	660	97	from	from	ADP
fumecheng-7612	660	98	fig	fig	NOUN
fumecheng-7612	660	99	.	.	PUNCT
fumecheng-7612	661	1	4	4	NUM
fumecheng-7612	661	2	that	that	DET
fumecheng-7612	661	3	for	for	ADP
fumecheng-7612	661	4	a	a	DET
fumecheng-7612	661	5	beam	beam	NOUN
fumecheng-7612	661	6	with	with	ADP
fumecheng-7612	661	7	hardening	harden	VERB
fumecheng-7612	661	8	nonlinear	nonlinear	ADJ
fumecheng-7612	661	9	spring	spring	NOUN
fumecheng-7612	661	10	boundary	boundary	NOUN
fumecheng-7612	661	11	(	(	PUNCT
fumecheng-7612	661	12	kl	kl	NOUN
fumecheng-7612	661	13	value	value	NOUN
fumecheng-7612	661	14	changes	change	NOUN
fumecheng-7612	661	15	following	follow	VERB
fumecheng-7612	661	16	the	the	DET
fumecheng-7612	661	17	deflection	deflection	NOUN
fumecheng-7612	661	18	interval	interval	NOUN
fumecheng-7612	661	19	given	give	VERB
fumecheng-7612	661	20	in	in	ADP
fumecheng-7612	661	21	table	table	NOUN
fumecheng-7612	661	22	3	3	NUM
fumecheng-7612	661	23	)	)	PUNCT
fumecheng-7612	661	24	under	under	ADP
fumecheng-7612	661	25	the	the	DET
fumecheng-7612	661	26	increase	increase	NOUN
fumecheng-7612	661	27	of	of	ADP
fumecheng-7612	661	28	excitation	excitation	NOUN
fumecheng-7612	661	29	frequency	frequency	NOUN
fumecheng-7612	661	30	,	,	PUNCT
fumecheng-7612	661	31	the	the	DET
fumecheng-7612	661	32	maximum	maximum	ADJ
fumecheng-7612	661	33	steady	steady	ADJ
fumecheng-7612	661	34	state	state	NOUN
fumecheng-7612	661	35	of	of	ADP
fumecheng-7612	661	36	the	the	DET
fumecheng-7612	661	37	deflection	deflection	NOUN
fumecheng-7612	661	38	will	will	AUX
fumecheng-7612	661	39	continue	continue	VERB
fumecheng-7612	661	40	to	to	PART
fumecheng-7612	661	41	increase	increase	VERB
fumecheng-7612	661	42	and	and	CCONJ
fumecheng-7612	661	43	then	then	ADV
fumecheng-7612	661	44	suddenly	suddenly	ADV
fumecheng-7612	661	45	drop	drop	VERB
fumecheng-7612	661	46	.	.	PUNCT
fumecheng-7612	662	1	as	as	ADP
fumecheng-7612	662	2	a	a	DET
fumecheng-7612	662	3	common	common	ADJ
fumecheng-7612	662	4	nonlinear	nonlinear	ADJ
fumecheng-7612	662	5	vibration	vibration	NOUN
fumecheng-7612	662	6	phenomenon	phenomenon	NOUN
fumecheng-7612	662	7	,	,	PUNCT
fumecheng-7612	662	8	this	this	PRON
fumecheng-7612	662	9	is	be	AUX
fumecheng-7612	662	10	because	because	SCONJ
fumecheng-7612	662	11	the	the	DET
fumecheng-7612	662	12	natural	natural	ADJ
fumecheng-7612	662	13	frequencies	frequency	NOUN
fumecheng-7612	662	14	of	of	ADP
fumecheng-7612	662	15	the	the	DET
fumecheng-7612	662	16	beam	beam	NOUN
fumecheng-7612	662	17	with	with	ADP
fumecheng-7612	662	18	nonlinear	nonlinear	ADJ
fumecheng-7612	662	19	boundary	boundary	NOUN
fumecheng-7612	662	20	is	be	AUX
fumecheng-7612	662	21	varying	vary	VERB
fumecheng-7612	662	22	during	during	ADP
fumecheng-7612	662	23	the	the	DET
fumecheng-7612	662	24	vibration	vibration	NOUN
fumecheng-7612	662	25	at	at	ADP
fumecheng-7612	662	26	different	different	ADJ
fumecheng-7612	662	27	excitation	excitation	NOUN
fumecheng-7612	662	28	frequencies	frequency	NOUN
fumecheng-7612	662	29	and	and	CCONJ
fumecheng-7612	662	30	vibration	vibration	NOUN
fumecheng-7612	662	31	amplitudes	amplitude	NOUN
fumecheng-7612	662	32	.	.	PUNCT
fumecheng-7612	663	1	through	through	ADP
fumecheng-7612	663	2	the	the	DET
fumecheng-7612	663	3	sin	sin	NOUN
fumecheng-7612	663	4	-	-	PUNCT
fumecheng-7612	663	5	sweep	sweep	NOUN
fumecheng-7612	663	6	frequency	frequency	NOUN
fumecheng-7612	663	7	progress	progress	NOUN
fumecheng-7612	663	8	,	,	PUNCT
fumecheng-7612	663	9	the	the	DET
fumecheng-7612	663	10	deflection	deflection	NOUN
fumecheng-7612	663	11	will	will	AUX
fumecheng-7612	663	12	become	become	VERB
fumecheng-7612	663	13	larger	large	ADJ
fumecheng-7612	663	14	when	when	SCONJ
fumecheng-7612	663	15	the	the	DET
fumecheng-7612	663	16	excitation	excitation	NOUN
fumecheng-7612	663	17	frequency	frequency	NOUN
fumecheng-7612	663	18	is	be	AUX
fumecheng-7612	663	19	close	close	ADJ
fumecheng-7612	663	20	or	or	CCONJ
fumecheng-7612	663	21	equal	equal	ADJ
fumecheng-7612	663	22	to	to	ADP
fumecheng-7612	663	23	the	the	DET
fumecheng-7612	663	24	higher	high	ADJ
fumecheng-7612	663	25	natural	natural	ADJ
fumecheng-7612	663	26	frequency	frequency	NOUN
fumecheng-7612	663	27	of	of	ADP
fumecheng-7612	663	28	the	the	DET
fumecheng-7612	663	29	structure	structure	NOUN
fumecheng-7612	663	30	with	with	ADP
fumecheng-7612	663	31	hardening	harden	VERB
fumecheng-7612	663	32	nonlinear	nonlinear	ADJ
fumecheng-7612	663	33	spring	spring	NOUN
fumecheng-7612	663	34	boundary	boundary	NOUN
fumecheng-7612	663	35	.	.	PUNCT
fumecheng-7612	664	1	when	when	SCONJ
fumecheng-7612	664	2	the	the	DET
fumecheng-7612	664	3	excitation	excitation	NOUN
fumecheng-7612	664	4	frequency	frequency	NOUN
fumecheng-7612	664	5	is	be	AUX
fumecheng-7612	664	6	passing	pass	VERB
fumecheng-7612	664	7	the	the	DET
fumecheng-7612	664	8	range	range	NOUN
fumecheng-7612	664	9	of	of	ADP
fumecheng-7612	664	10	the	the	DET
fumecheng-7612	664	11	natural	natural	ADJ
fumecheng-7612	664	12	frequencies	frequency	NOUN
fumecheng-7612	664	13	,	,	PUNCT
fumecheng-7612	664	14	the	the	DET
fumecheng-7612	664	15	deflection	deflection	NOUN
fumecheng-7612	664	16	will	will	AUX
fumecheng-7612	664	17	decrease	decrease	VERB
fumecheng-7612	664	18	significantly	significantly	ADV
fumecheng-7612	664	19	.	.	PUNCT
fumecheng-7612	665	1	at	at	ADP
fumecheng-7612	665	2	the	the	DET
fumecheng-7612	665	3	same	same	ADJ
fumecheng-7612	665	4	time	time	NOUN
fumecheng-7612	665	5	,	,	PUNCT
fumecheng-7612	665	6	with	with	ADP
fumecheng-7612	665	7	the	the	DET
fumecheng-7612	665	8	larger	large	ADJ
fumecheng-7612	665	9	the	the	DET
fumecheng-7612	665	10	excitation	excitation	NOUN
fumecheng-7612	665	11	amplitude	amplitude	NOUN
fumecheng-7612	665	12	(	(	PUNCT
fumecheng-7612	665	13	0.0005	0.0005	NUM
fumecheng-7612	665	14	-	-	PUNCT
fumecheng-7612	665	15	0.01	0.01	NUM
fumecheng-7612	665	16	m	m	NOUN
fumecheng-7612	665	17	)	)	PUNCT
fumecheng-7612	665	18	,	,	PUNCT
fumecheng-7612	665	19	the	the	PRON
fumecheng-7612	665	20	stronger	strong	ADJ
fumecheng-7612	665	21	the	the	DET
fumecheng-7612	665	22	level	level	NOUN
fumecheng-7612	665	23	of	of	ADP
fumecheng-7612	665	24	the	the	DET
fumecheng-7612	665	25	boundary	boundary	ADJ
fumecheng-7612	665	26	nonlinearity	nonlinearity	NOUN
fumecheng-7612	665	27	can	can	AUX
fumecheng-7612	665	28	be	be	AUX
fumecheng-7612	665	29	noticed	notice	VERB
fumecheng-7612	665	30	leading	lead	VERB
fumecheng-7612	665	31	to	to	ADP
fumecheng-7612	665	32	wider	wide	ADJ
fumecheng-7612	665	33	frequency	frequency	NOUN
fumecheng-7612	665	34	range	range	NOUN
fumecheng-7612	665	35	with	with	ADP
fumecheng-7612	665	36	high	high	ADJ
fumecheng-7612	665	37	vibration	vibration	NOUN
fumecheng-7612	665	38	amplitude	amplitude	NOUN
fumecheng-7612	665	39	in	in	ADP
fumecheng-7612	665	40	the	the	DET
fumecheng-7612	665	41	spectrum	spectrum	NOUN
fumecheng-7612	665	42	as	as	SCONJ
fumecheng-7612	665	43	shown	show	VERB
fumecheng-7612	665	44	in	in	ADP
fumecheng-7612	665	45	fig	fig	NOUN
fumecheng-7612	665	46	.	.	PUNCT
fumecheng-7612	666	1	4	4	NUM
fumecheng-7612	666	2	(	(	PUNCT
fumecheng-7612	666	3	200	200	NUM
fumecheng-7612	666	4	-	-	SYM
fumecheng-7612	666	5	550	550	NUM
fumecheng-7612	666	6	rad	rad	NOUN
fumecheng-7612	666	7	/	/	SYM
fumecheng-7612	666	8	s-200	s-200	PROPN
fumecheng-7612	666	9	-	-	PROPN
fumecheng-7612	666	10	765	765	NUM
fumecheng-7612	666	11	rad	rad	PROPN
fumecheng-7612	666	12	/	/	SYM
fumecheng-7612	666	13	s	s	PART
fumecheng-7612	666	14	)	)	PUNCT
fumecheng-7612	666	15	.	.	PUNCT
fumecheng-7612	667	1	798	798	NUM
fumecheng-7612	667	2	p.	p.	NOUN
fumecheng-7612	667	3	wang	wang	PROPN
fumecheng-7612	667	4	,	,	PUNCT
fumecheng-7612	667	5	n.	n.	PROPN
fumecheng-7612	667	6	wu	wu	PROPN
fumecheng-7612	667	7	,	,	PUNCT
fumecheng-7612	667	8	h.	h.	PROPN
fumecheng-7612	667	9	luo	luo	PROPN
fumecheng-7612	667	10	,	,	PUNCT
fumecheng-7612	667	11	z.	z.	PROPN
fumecheng-7612	667	12	sun	sun	PROPN
fumecheng-7612	667	13	fig	fig	PROPN
fumecheng-7612	667	14	.	.	PUNCT
fumecheng-7612	668	1	4	4	NUM
fumecheng-7612	668	2	steady	steady	ADJ
fumecheng-7612	668	3	state	state	NOUN
fumecheng-7612	668	4	vibration	vibration	NOUN
fumecheng-7612	668	5	amplitude	amplitude	NOUN
fumecheng-7612	668	6	at	at	ADP
fumecheng-7612	668	7	free	free	ADJ
fumecheng-7612	668	8	end	end	NOUN
fumecheng-7612	668	9	of	of	ADP
fumecheng-7612	668	10	non	non	ADJ
fumecheng-7612	668	11	-	-	ADJ
fumecheng-7612	668	12	uniform	uniform	ADJ
fumecheng-7612	668	13	beam	beam	NOUN
fumecheng-7612	668	14	under	under	ADP
fumecheng-7612	668	15	different	different	ADJ
fumecheng-7612	668	16	excitation	excitation	NOUN
fumecheng-7612	668	17	frequencies	frequency	NOUN
fumecheng-7612	668	18	3.3	3.3	NUM
fumecheng-7612	668	19	.	.	PUNCT
fumecheng-7612	669	1	influence	influence	NOUN
fumecheng-7612	669	2	of	of	ADP
fumecheng-7612	669	3	the	the	DET
fumecheng-7612	669	4	degree	degree	NOUN
fumecheng-7612	669	5	of	of	ADP
fumecheng-7612	669	6	boundary	boundary	ADJ
fumecheng-7612	669	7	nonlinearity	nonlinearity	NOUN
fumecheng-7612	669	8	on	on	ADP
fumecheng-7612	669	9	non	non	ADJ
fumecheng-7612	669	10	-	-	ADJ
fumecheng-7612	669	11	uniform	uniform	ADJ
fumecheng-7612	669	12	beam	beam	NOUN
fumecheng-7612	669	13	vibration	vibration	NOUN
fumecheng-7612	669	14	based	base	VERB
fumecheng-7612	669	15	on	on	ADP
fumecheng-7612	669	16	the	the	DET
fumecheng-7612	669	17	proposed	propose	VERB
fumecheng-7612	669	18	iterative	iterative	NOUN
fumecheng-7612	669	19	method	method	NOUN
fumecheng-7612	669	20	,	,	PUNCT
fumecheng-7612	669	21	further	further	ADJ
fumecheng-7612	669	22	studies	study	NOUN
fumecheng-7612	669	23	on	on	ADP
fumecheng-7612	669	24	the	the	DET
fumecheng-7612	669	25	vibration	vibration	NOUN
fumecheng-7612	669	26	response	response	NOUN
fumecheng-7612	669	27	of	of	ADP
fumecheng-7612	669	28	non	non	ADJ
fumecheng-7612	669	29	-	-	ADJ
fumecheng-7612	669	30	uniform	uniform	ADJ
fumecheng-7612	669	31	beam	beam	NOUN
fumecheng-7612	669	32	under	under	ADP
fumecheng-7612	669	33	nonlinear	nonlinear	ADJ
fumecheng-7612	669	34	boundary	boundary	ADJ
fumecheng-7612	669	35	condition	condition	NOUN
fumecheng-7612	669	36	are	be	AUX
fumecheng-7612	669	37	carried	carry	VERB
fumecheng-7612	669	38	on	on	ADP
fumecheng-7612	669	39	.	.	PUNCT
fumecheng-7612	670	1	in	in	ADP
fumecheng-7612	670	2	order	order	NOUN
fumecheng-7612	670	3	to	to	PART
fumecheng-7612	670	4	study	study	VERB
fumecheng-7612	670	5	the	the	DET
fumecheng-7612	670	6	influence	influence	NOUN
fumecheng-7612	670	7	of	of	ADP
fumecheng-7612	670	8	boundary	boundary	ADJ
fumecheng-7612	670	9	nonlinearity	nonlinearity	NOUN
fumecheng-7612	670	10	on	on	ADP
fumecheng-7612	670	11	the	the	DET
fumecheng-7612	670	12	vibration	vibration	NOUN
fumecheng-7612	670	13	characteristics	characteristic	NOUN
fumecheng-7612	670	14	of	of	ADP
fumecheng-7612	670	15	non	non	ADJ
fumecheng-7612	670	16	-	-	ADJ
fumecheng-7612	670	17	uniform	uniform	ADJ
fumecheng-7612	670	18	beam	beam	NOUN
fumecheng-7612	670	19	,	,	PUNCT
fumecheng-7612	670	20	the	the	DET
fumecheng-7612	670	21	vibration	vibration	NOUN
fumecheng-7612	670	22	response	response	NOUN
fumecheng-7612	670	23	at	at	ADP
fumecheng-7612	670	24	the	the	DET
fumecheng-7612	670	25	free	free	ADJ
fumecheng-7612	670	26	end	end	NOUN
fumecheng-7612	670	27	of	of	ADP
fumecheng-7612	670	28	the	the	DET
fumecheng-7612	670	29	beam	beam	NOUN
fumecheng-7612	670	30	in	in	ADP
fumecheng-7612	670	31	time	time	NOUN
fumecheng-7612	670	32	and	and	CCONJ
fumecheng-7612	670	33	frequency	frequency	NOUN
fumecheng-7612	670	34	domain	domain	NOUN
fumecheng-7612	670	35	with	with	ADP
fumecheng-7612	670	36	fixed	fix	VERB
fumecheng-7612	670	37	spring	spring	NOUN
fumecheng-7612	670	38	stiffness	stiffness	NOUN
fumecheng-7612	670	39	kl	kl	NOUN
fumecheng-7612	670	40	of	of	ADP
fumecheng-7612	670	41	20000	20000	NUM
fumecheng-7612	670	42	n	n	CCONJ
fumecheng-7612	670	43	/	/	SYM
fumecheng-7612	670	44	m	m	PROPN
fumecheng-7612	670	45	(	(	PUNCT
fumecheng-7612	670	46	linear	linear	ADJ
fumecheng-7612	670	47	boundary	boundary	ADJ
fumecheng-7612	670	48	condition	condition	NOUN
fumecheng-7612	670	49	)	)	PUNCT
fumecheng-7612	670	50	,	,	PUNCT
fumecheng-7612	670	51	20000	20000	NUM
fumecheng-7612	670	52	-	-	SYM
fumecheng-7612	670	53	31594	31594	NUM
fumecheng-7612	670	54	n	n	CCONJ
fumecheng-7612	670	55	/	/	SYM
fumecheng-7612	670	56	m	m	PROPN
fumecheng-7612	670	57	,	,	PUNCT
fumecheng-7612	670	58	20000	20000	NUM
fumecheng-7612	670	59	-	-	SYM
fumecheng-7612	670	60	60702	60702	NUM
fumecheng-7612	670	61	n	n	CCONJ
fumecheng-7612	670	62	/	/	SYM
fumecheng-7612	670	63	m	m	PROPN
fumecheng-7612	670	64	and	and	CCONJ
fumecheng-7612	670	65	20000	20000	NUM
fumecheng-7612	670	66	-	-	SYM
fumecheng-7612	670	67	90450	90450	NUM
fumecheng-7612	670	68	n	n	CCONJ
fumecheng-7612	670	69	/	/	SYM
fumecheng-7612	670	70	m	m	VERB
fumecheng-7612	670	71	are	be	AUX
fumecheng-7612	670	72	simulated	simulate	VERB
fumecheng-7612	670	73	.	.	PUNCT
fumecheng-7612	671	1	the	the	DET
fumecheng-7612	671	2	excitation	excitation	NOUN
fumecheng-7612	671	3	angular	angular	ADJ
fumecheng-7612	671	4	frequency	frequency	NOUN
fumecheng-7612	671	5	is	be	AUX
fumecheng-7612	671	6			PROPN
fumecheng-7612	671	7	=	=	NOUN
fumecheng-7612	671	8	672	672	NUM
fumecheng-7612	671	9	rad	rad	NOUN
fumecheng-7612	671	10	/	/	SYM
fumecheng-7612	671	11	s	s	NOUN
fumecheng-7612	671	12	and	and	CCONJ
fumecheng-7612	671	13	the	the	DET
fumecheng-7612	671	14	base	base	NOUN
fumecheng-7612	671	15	motion	motion	NOUN
fumecheng-7612	671	16	amplitude	amplitude	NOUN
fumecheng-7612	671	17	is	be	AUX
fumecheng-7612	671	18	y=0.005	y=0.005	NUM
fumecheng-7612	671	19	m.	m.	NOUN
fumecheng-7612	671	20	under	under	ADP
fumecheng-7612	671	21	this	this	DET
fumecheng-7612	671	22	certain	certain	ADJ
fumecheng-7612	671	23	excitation	excitation	NOUN
fumecheng-7612	671	24	,	,	PUNCT
fumecheng-7612	671	25	the	the	DET
fumecheng-7612	671	26	multi	multi	ADJ
fumecheng-7612	671	27	-	-	ADJ
fumecheng-7612	671	28	linear	linear	ADJ
fumecheng-7612	671	29	kl	kl	NOUN
fumecheng-7612	671	30	values	value	NOUN
fumecheng-7612	671	31	,	,	PUNCT
fumecheng-7612	671	32	the	the	DET
fumecheng-7612	671	33	amplitudes	amplitude	NOUN
fumecheng-7612	671	34	of	of	ADP
fumecheng-7612	671	35	steady	steady	ADJ
fumecheng-7612	671	36	state	state	NOUN
fumecheng-7612	671	37	deflections	deflection	NOUN
fumecheng-7612	671	38	at	at	ADP
fumecheng-7612	671	39	the	the	DET
fumecheng-7612	671	40	left	left	ADJ
fumecheng-7612	671	41	end	end	NOUN
fumecheng-7612	671	42	of	of	ADP
fumecheng-7612	671	43	the	the	DET
fumecheng-7612	671	44	beam	beam	NOUN
fumecheng-7612	671	45	and	and	CCONJ
fumecheng-7612	671	46	their	their	PRON
fumecheng-7612	671	47	corresponding	corresponding	ADJ
fumecheng-7612	671	48	sectional	sectional	ADJ
fumecheng-7612	671	49	intervals	interval	NOUN
fumecheng-7612	671	50	are	be	AUX
fumecheng-7612	671	51	shown	show	VERB
fumecheng-7612	671	52	in	in	ADP
fumecheng-7612	671	53	table	table	NOUN
fumecheng-7612	671	54	.	.	PUNCT
fumecheng-7612	672	1	3	3	X
fumecheng-7612	672	2	.	.	X
fumecheng-7612	672	3	the	the	DET
fumecheng-7612	672	4	relationship	relationship	NOUN
fumecheng-7612	672	5	between	between	ADP
fumecheng-7612	672	6	deflection	deflection	NOUN
fumecheng-7612	672	7	and	and	CCONJ
fumecheng-7612	672	8	kl	kl	NOUN
fumecheng-7612	672	9	in	in	ADP
fumecheng-7612	672	10	table	table	NOUN
fumecheng-7612	672	11	.	.	PUNCT
fumecheng-7612	673	1	3	3	NUM
fumecheng-7612	673	2	is	be	AUX
fumecheng-7612	673	3	used	use	VERB
fumecheng-7612	673	4	for	for	ADP
fumecheng-7612	673	5	different	different	ADJ
fumecheng-7612	673	6	degrees	degree	NOUN
fumecheng-7612	673	7	of	of	ADP
fumecheng-7612	673	8	nonlinear	nonlinear	ADJ
fumecheng-7612	673	9	boundary	boundary	NOUN
fumecheng-7612	673	10	.	.	PUNCT
fumecheng-7612	674	1	for	for	ADP
fumecheng-7612	674	2	kl	kl	PROPN
fumecheng-7612	674	3	in	in	ADP
fumecheng-7612	674	4	the	the	DET
fumecheng-7612	674	5	ranges	range	NOUN
fumecheng-7612	674	6	of	of	ADP
fumecheng-7612	674	7	20000	20000	NUM
fumecheng-7612	674	8	-	-	SYM
fumecheng-7612	674	9	31594	31594	NUM
fumecheng-7612	674	10	n	n	CCONJ
fumecheng-7612	674	11	/	/	SYM
fumecheng-7612	674	12	m	m	PROPN
fumecheng-7612	674	13	,	,	PUNCT
fumecheng-7612	674	14	20000	20000	NUM
fumecheng-7612	674	15	-	-	SYM
fumecheng-7612	674	16	60702	60702	NUM
fumecheng-7612	674	17	n	n	CCONJ
fumecheng-7612	674	18	/	/	SYM
fumecheng-7612	674	19	m	m	PROPN
fumecheng-7612	674	20	and	and	CCONJ
fumecheng-7612	674	21	20000	20000	NUM
fumecheng-7612	674	22	-	-	SYM
fumecheng-7612	674	23	90450	90450	NUM
fumecheng-7612	674	24	n	n	CCONJ
fumecheng-7612	674	25	/	/	SYM
fumecheng-7612	674	26	m	m	PROPN
fumecheng-7612	674	27	,	,	PUNCT
fumecheng-7612	674	28	when	when	SCONJ
fumecheng-7612	674	29	the	the	DET
fumecheng-7612	674	30	deflection	deflection	NOUN
fumecheng-7612	674	31	is	be	AUX
fumecheng-7612	674	32	larger	large	ADJ
fumecheng-7612	674	33	than	than	ADP
fumecheng-7612	674	34	the	the	DET
fumecheng-7612	674	35	maximum	maximum	ADJ
fumecheng-7612	674	36	value	value	NOUN
fumecheng-7612	674	37	of	of	ADP
fumecheng-7612	674	38	deflection	deflection	NOUN
fumecheng-7612	674	39	intervals	interval	NOUN
fumecheng-7612	674	40	(	(	PUNCT
fumecheng-7612	674	41	0.006	0.006	NUM
fumecheng-7612	674	42	m	m	PROPN
fumecheng-7612	674	43	,	,	PUNCT
fumecheng-7612	674	44	0.012	0.012	NUM
fumecheng-7612	674	45	m	m	NOUN
fumecheng-7612	674	46	and	and	CCONJ
fumecheng-7612	674	47	0.018	0.018	NUM
fumecheng-7612	674	48	m	m	PROPN
fumecheng-7612	674	49	)	)	PUNCT
fumecheng-7612	674	50	during	during	ADP
fumecheng-7612	674	51	vibration	vibration	NOUN
fumecheng-7612	674	52	,	,	PUNCT
fumecheng-7612	674	53	the	the	DET
fumecheng-7612	674	54	kl	kl	PROPN
fumecheng-7612	674	55	keeps	keep	VERB
fumecheng-7612	674	56	unchanged	unchanged	ADJ
fumecheng-7612	674	57	.	.	PUNCT
fumecheng-7612	675	1	the	the	DET
fumecheng-7612	675	2	vibration	vibration	NOUN
fumecheng-7612	675	3	response	response	NOUN
fumecheng-7612	675	4	at	at	ADP
fumecheng-7612	675	5	free	free	ADJ
fumecheng-7612	675	6	end	end	NOUN
fumecheng-7612	675	7	of	of	ADP
fumecheng-7612	675	8	the	the	DET
fumecheng-7612	675	9	beam	beam	NOUN
fumecheng-7612	675	10	is	be	AUX
fumecheng-7612	675	11	shown	show	VERB
fumecheng-7612	675	12	in	in	ADP
fumecheng-7612	675	13	fig	fig	NOUN
fumecheng-7612	675	14	.	.	PUNCT
fumecheng-7612	676	1	5	5	NUM
fumecheng-7612	676	2	(	(	PUNCT
fumecheng-7612	676	3	normalization	normalization	NOUN
fumecheng-7612	676	4	was	be	AUX
fumecheng-7612	676	5	done	do	VERB
fumecheng-7612	676	6	in	in	ADP
fumecheng-7612	676	7	fig	fig	NOUN
fumecheng-7612	676	8	.	.	PUNCT
fumecheng-7612	677	1	5	5	NUM
fumecheng-7612	677	2	(	(	PUNCT
fumecheng-7612	677	3	b	b	NOUN
fumecheng-7612	677	4	)	)	PUNCT
fumecheng-7612	677	5	)	)	PUNCT
fumecheng-7612	677	6	.	.	PUNCT
fumecheng-7612	678	1	the	the	DET
fumecheng-7612	678	2	normalization	normalization	NOUN
fumecheng-7612	678	3	process	process	NOUN
fumecheng-7612	678	4	is	be	AUX
fumecheng-7612	678	5	to	to	PART
fumecheng-7612	678	6	divide	divide	VERB
fumecheng-7612	678	7	the	the	DET
fumecheng-7612	678	8	magnitude	magnitude	NOUN
fumecheng-7612	678	9	by	by	ADP
fumecheng-7612	678	10	the	the	DET
fumecheng-7612	678	11	maximum	maximum	ADJ
fumecheng-7612	678	12	magnitude	magnitude	NOUN
fumecheng-7612	678	13	value	value	NOUN
fumecheng-7612	678	14	to	to	PART
fumecheng-7612	678	15	make	make	VERB
fumecheng-7612	678	16	the	the	DET
fumecheng-7612	678	17	magnitude	magnitude	NOUN
fumecheng-7612	678	18	between	between	ADP
fumecheng-7612	678	19	0	0	NUM
fumecheng-7612	678	20	-	-	SYM
fumecheng-7612	678	21	1	1	NUM
fumecheng-7612	678	22	.	.	PUNCT
fumecheng-7612	679	1	study	study	NOUN
fumecheng-7612	679	2	on	on	ADP
fumecheng-7612	679	3	vibration	vibration	NOUN
fumecheng-7612	679	4	response	response	NOUN
fumecheng-7612	679	5	of	of	ADP
fumecheng-7612	679	6	a	a	DET
fumecheng-7612	679	7	non	non	ADJ
fumecheng-7612	679	8	-	-	ADJ
fumecheng-7612	679	9	uniform	uniform	ADJ
fumecheng-7612	679	10	beam	beam	NOUN
fumecheng-7612	679	11	with	with	ADP
fumecheng-7612	679	12	nonlinear	nonlinear	ADJ
fumecheng-7612	679	13	boundary	boundary	ADJ
fumecheng-7612	679	14	condition	condition	NOUN
fumecheng-7612	679	15	799	799	NUM
fumecheng-7612	679	16	(	(	PUNCT
fumecheng-7612	679	17	a	a	NOUN
fumecheng-7612	679	18	)	)	PUNCT
fumecheng-7612	679	19	(	(	PUNCT
fumecheng-7612	679	20	b	b	X
fumecheng-7612	679	21	)	)	PUNCT
fumecheng-7612	679	22	fig	fig	NOUN
fumecheng-7612	679	23	.	.	PUNCT
fumecheng-7612	680	1	5	5	NUM
fumecheng-7612	680	2	vibration	vibration	NOUN
fumecheng-7612	680	3	response	response	NOUN
fumecheng-7612	680	4	of	of	ADP
fumecheng-7612	680	5	non	non	ADJ
fumecheng-7612	680	6	-	-	ADJ
fumecheng-7612	680	7	uniform	uniform	ADJ
fumecheng-7612	680	8	beam	beam	NOUN
fumecheng-7612	680	9	at	at	ADP
fumecheng-7612	680	10	free	free	ADJ
fumecheng-7612	680	11	end	end	NOUN
fumecheng-7612	680	12	with	with	ADP
fumecheng-7612	680	13	different	different	ADJ
fumecheng-7612	680	14	degree	degree	NOUN
fumecheng-7612	680	15	of	of	ADP
fumecheng-7612	680	16	boundary	boundary	ADJ
fumecheng-7612	680	17	nonlinearity	nonlinearity	NOUN
fumecheng-7612	680	18	(	(	PUNCT
fumecheng-7612	680	19	(	(	PUNCT
fumecheng-7612	680	20	a	a	PRON
fumecheng-7612	680	21	)	)	PUNCT
fumecheng-7612	680	22	time	time	NOUN
fumecheng-7612	680	23	domain	domain	NOUN
fumecheng-7612	680	24	,	,	PUNCT
fumecheng-7612	680	25	(	(	PUNCT
fumecheng-7612	680	26	b	b	X
fumecheng-7612	680	27	)	)	PUNCT
fumecheng-7612	680	28	frequency	frequency	NOUN
fumecheng-7612	680	29	domain	domain	NOUN
fumecheng-7612	680	30	)	)	PUNCT
fumecheng-7612	680	31	from	from	ADP
fumecheng-7612	680	32	fig	fig	NOUN
fumecheng-7612	680	33	.	.	PUNCT
fumecheng-7612	681	1	5	5	NUM
fumecheng-7612	681	2	,	,	PUNCT
fumecheng-7612	681	3	while	while	SCONJ
fumecheng-7612	681	4	the	the	DET
fumecheng-7612	681	5	spring	spring	NOUN
fumecheng-7612	681	6	constant	constant	ADJ
fumecheng-7612	681	7	at	at	ADP
fumecheng-7612	681	8	the	the	DET
fumecheng-7612	681	9	boundary	boundary	NOUN
fumecheng-7612	681	10	is	be	AUX
fumecheng-7612	681	11	changing	change	VERB
fumecheng-7612	681	12	during	during	ADP
fumecheng-7612	681	13	vibration	vibration	NOUN
fumecheng-7612	681	14	,	,	PUNCT
fumecheng-7612	681	15	compared	compare	VERB
fumecheng-7612	681	16	with	with	ADP
fumecheng-7612	681	17	the	the	DET
fumecheng-7612	681	18	linear	linear	PROPN
fumecheng-7612	681	19	boundary	boundary	NOUN
fumecheng-7612	681	20	,	,	PUNCT
fumecheng-7612	681	21	with	with	ADP
fumecheng-7612	681	22	the	the	DET
fumecheng-7612	681	23	increment	increment	NOUN
fumecheng-7612	681	24	of	of	ADP
fumecheng-7612	681	25	time	time	NOUN
fumecheng-7612	681	26	,	,	PUNCT
fumecheng-7612	681	27	the	the	DET
fumecheng-7612	681	28	deflection	deflection	NOUN
fumecheng-7612	681	29	of	of	ADP
fumecheng-7612	681	30	the	the	DET
fumecheng-7612	681	31	beam	beam	NOUN
fumecheng-7612	681	32	with	with	ADP
fumecheng-7612	681	33	nonlinear	nonlinear	ADJ
fumecheng-7612	681	34	boundary	boundary	NOUN
fumecheng-7612	681	35	will	will	AUX
fumecheng-7612	681	36	only	only	ADV
fumecheng-7612	681	37	approach	approach	VERB
fumecheng-7612	681	38	a	a	DET
fumecheng-7612	681	39	semi	semi	ADJ
fumecheng-7612	681	40	-	-	ADJ
fumecheng-7612	681	41	steady	steady	ADJ
fumecheng-7612	681	42	state	state	NOUN
fumecheng-7612	681	43	with	with	ADP
fumecheng-7612	681	44	variable	variable	ADJ
fumecheng-7612	681	45	amplitude	amplitude	NOUN
fumecheng-7612	681	46	in	in	ADP
fumecheng-7612	681	47	the	the	DET
fumecheng-7612	681	48	time	time	NOUN
fumecheng-7612	681	49	domain	domain	NOUN
fumecheng-7612	681	50	signal	signal	NOUN
fumecheng-7612	681	51	and	and	CCONJ
fumecheng-7612	681	52	clear	clear	ADJ
fumecheng-7612	681	53	wide	wide	ADJ
fumecheng-7612	681	54	bandwidth	bandwidth	NOUN
fumecheng-7612	681	55	in	in	ADP
fumecheng-7612	681	56	frequency	frequency	NOUN
fumecheng-7612	681	57	domain	domain	NOUN
fumecheng-7612	681	58	.	.	PUNCT
fumecheng-7612	682	1	this	this	DET
fumecheng-7612	682	2	phenomenon	phenomenon	NOUN
fumecheng-7612	682	3	is	be	AUX
fumecheng-7612	682	4	more	more	ADV
fumecheng-7612	682	5	obvious	obvious	ADJ
fumecheng-7612	682	6	for	for	ADP
fumecheng-7612	682	7	stronger	strong	ADJ
fumecheng-7612	682	8	nonlinearity	nonlinearity	NOUN
fumecheng-7612	682	9	case	case	NOUN
fumecheng-7612	682	10	with	with	ADP
fumecheng-7612	682	11	larger	large	ADJ
fumecheng-7612	682	12	spring	spring	NOUN
fumecheng-7612	682	13	constant	constant	ADJ
fumecheng-7612	682	14	variation	variation	NOUN
fumecheng-7612	682	15	range	range	NOUN
fumecheng-7612	682	16	(	(	PUNCT
fumecheng-7612	682	17	such	such	ADJ
fumecheng-7612	682	18	as	as	ADP
fumecheng-7612	682	19	kl=20000	kl=20000	PROPN
fumecheng-7612	682	20	-	-	PUNCT
fumecheng-7612	682	21	80511	80511	NUM
fumecheng-7612	682	22	n	n	CCONJ
fumecheng-7612	682	23	/	/	SYM
fumecheng-7612	682	24	m	m	VERB
fumecheng-7612	682	25	as	as	SCONJ
fumecheng-7612	682	26	given	give	VERB
fumecheng-7612	682	27	in	in	ADP
fumecheng-7612	682	28	table	table	NOUN
fumecheng-7612	682	29	3	3	NUM
fumecheng-7612	682	30	)	)	PUNCT
fumecheng-7612	682	31	.	.	PUNCT
fumecheng-7612	683	1	from	from	ADP
fumecheng-7612	683	2	the	the	DET
fumecheng-7612	683	3	fig	fig	NOUN
fumecheng-7612	683	4	.	.	PUNCT
fumecheng-7612	684	1	5(b	5(b	X
fumecheng-7612	684	2	)	)	PUNCT
fumecheng-7612	684	3	it	it	PRON
fumecheng-7612	684	4	can	can	AUX
fumecheng-7612	684	5	be	be	AUX
fumecheng-7612	684	6	seen	see	VERB
fumecheng-7612	684	7	that	that	SCONJ
fumecheng-7612	684	8	for	for	SCONJ
fumecheng-7612	684	9	the	the	DET
fumecheng-7612	684	10	800	800	NUM
fumecheng-7612	684	11	p.	p.	NOUN
fumecheng-7612	684	12	wang	wang	PROPN
fumecheng-7612	684	13	,	,	PUNCT
fumecheng-7612	684	14	n.	n.	PROPN
fumecheng-7612	684	15	wu	wu	PROPN
fumecheng-7612	684	16	,	,	PUNCT
fumecheng-7612	684	17	h.	h.	PROPN
fumecheng-7612	684	18	luo	luo	PROPN
fumecheng-7612	684	19	,	,	PUNCT
fumecheng-7612	684	20	z.	z.	PROPN
fumecheng-7612	684	21	sun	sun	PROPN
fumecheng-7612	684	22	beam	beam	PROPN
fumecheng-7612	684	23	with	with	ADP
fumecheng-7612	684	24	kl=20000	kl=20000	PROPN
fumecheng-7612	684	25	n	n	CCONJ
fumecheng-7612	684	26	/	/	SYM
fumecheng-7612	684	27	m	m	PROPN
fumecheng-7612	684	28	,	,	PUNCT
fumecheng-7612	684	29	the	the	DET
fumecheng-7612	684	30	frequency	frequency	NOUN
fumecheng-7612	684	31	corresponding	correspond	VERB
fumecheng-7612	684	32	to	to	ADP
fumecheng-7612	684	33	the	the	DET
fumecheng-7612	684	34	first	first	ADJ
fumecheng-7612	684	35	peak	peak	NOUN
fumecheng-7612	684	36	and	and	CCONJ
fumecheng-7612	684	37	second	second	ADJ
fumecheng-7612	684	38	peak	peak	NOUN
fumecheng-7612	684	39	are	be	AUX
fumecheng-7612	684	40	the	the	DET
fumecheng-7612	684	41	natural	natural	ADJ
fumecheng-7612	684	42	frequency	frequency	NOUN
fumecheng-7612	684	43	and	and	CCONJ
fumecheng-7612	684	44	excitation	excitation	NOUN
fumecheng-7612	684	45	frequency	frequency	NOUN
fumecheng-7612	684	46	.	.	PUNCT
fumecheng-7612	685	1	for	for	ADP
fumecheng-7612	685	2	the	the	DET
fumecheng-7612	685	3	beam	beam	NOUN
fumecheng-7612	685	4	with	with	ADP
fumecheng-7612	685	5	kl=20000	kl=20000	PROPN
fumecheng-7612	685	6	-	-	PUNCT
fumecheng-7612	685	7	31594	31594	NUM
fumecheng-7612	685	8	n	n	CCONJ
fumecheng-7612	685	9	/	/	SYM
fumecheng-7612	685	10	m	m	PROPN
fumecheng-7612	685	11	,	,	PUNCT
fumecheng-7612	685	12	20000	20000	NUM
fumecheng-7612	685	13	-	-	SYM
fumecheng-7612	685	14	60702	60702	NUM
fumecheng-7612	685	15	n	n	CCONJ
fumecheng-7612	685	16	/	/	SYM
fumecheng-7612	685	17	m	m	PROPN
fumecheng-7612	685	18	and	and	CCONJ
fumecheng-7612	685	19	20000	20000	NUM
fumecheng-7612	685	20	-	-	SYM
fumecheng-7612	685	21	80511	80511	NUM
fumecheng-7612	685	22	n	n	CCONJ
fumecheng-7612	685	23	/	/	SYM
fumecheng-7612	685	24	m	m	PROPN
fumecheng-7612	685	25	,	,	PUNCT
fumecheng-7612	685	26	there	there	PRON
fumecheng-7612	685	27	are	be	VERB
fumecheng-7612	685	28	only	only	ADV
fumecheng-7612	685	29	one	one	NUM
fumecheng-7612	685	30	obvious	obvious	ADJ
fumecheng-7612	685	31	peak	peak	NOUN
fumecheng-7612	685	32	.	.	PUNCT
fumecheng-7612	686	1	this	this	PRON
fumecheng-7612	686	2	is	be	AUX
fumecheng-7612	686	3	because	because	SCONJ
fumecheng-7612	686	4	the	the	DET
fumecheng-7612	686	5	beam	beam	NOUN
fumecheng-7612	686	6	with	with	ADP
fumecheng-7612	686	7	linear	linear	PROPN
fumecheng-7612	686	8	boundary	boundary	NOUN
fumecheng-7612	686	9	just	just	ADV
fumecheng-7612	686	10	has	have	VERB
fumecheng-7612	686	11	one	one	NUM
fumecheng-7612	686	12	natural	natural	ADJ
fumecheng-7612	686	13	frequency	frequency	NOUN
fumecheng-7612	686	14	close	close	ADJ
fumecheng-7612	686	15	to	to	ADP
fumecheng-7612	686	16	the	the	DET
fumecheng-7612	686	17	excitation	excitation	NOUN
fumecheng-7612	686	18	frequency	frequency	NOUN
fumecheng-7612	686	19	.	.	PUNCT
fumecheng-7612	687	1	the	the	DET
fumecheng-7612	687	2	natural	natural	ADJ
fumecheng-7612	687	3	frequencies	frequency	NOUN
fumecheng-7612	687	4	of	of	ADP
fumecheng-7612	687	5	the	the	DET
fumecheng-7612	687	6	beam	beam	NOUN
fumecheng-7612	687	7	with	with	ADP
fumecheng-7612	687	8	nonlinear	nonlinear	ADJ
fumecheng-7612	687	9	boundary	boundary	NOUN
fumecheng-7612	687	10	will	will	AUX
fumecheng-7612	687	11	change	change	VERB
fumecheng-7612	687	12	with	with	ADP
fumecheng-7612	687	13	the	the	DET
fumecheng-7612	687	14	boundary	boundary	ADJ
fumecheng-7612	687	15	conditions	condition	NOUN
fumecheng-7612	687	16	.	.	PUNCT
fumecheng-7612	688	1	the	the	DET
fumecheng-7612	688	2	range	range	NOUN
fumecheng-7612	688	3	of	of	ADP
fumecheng-7612	688	4	natural	natural	ADJ
fumecheng-7612	688	5	frequencies	frequency	NOUN
fumecheng-7612	688	6	is	be	AUX
fumecheng-7612	688	7	relatively	relatively	ADV
fumecheng-7612	688	8	wide	wide	ADJ
fumecheng-7612	688	9	and	and	CCONJ
fumecheng-7612	688	10	includes	include	VERB
fumecheng-7612	688	11	excitation	excitation	NOUN
fumecheng-7612	688	12	frequency	frequency	NOUN
fumecheng-7612	688	13	,	,	PUNCT
fumecheng-7612	688	14	so	so	ADV
fumecheng-7612	688	15	from	from	ADP
fumecheng-7612	688	16	the	the	DET
fumecheng-7612	688	17	fig	fig	NOUN
fumecheng-7612	688	18	.	.	PUNCT
fumecheng-7612	689	1	5(b	5(b	NUM
fumecheng-7612	689	2	)	)	PUNCT
fumecheng-7612	689	3	,	,	PUNCT
fumecheng-7612	689	4	there	there	PRON
fumecheng-7612	689	5	will	will	AUX
fumecheng-7612	689	6	only	only	ADV
fumecheng-7612	689	7	be	be	AUX
fumecheng-7612	689	8	one	one	NUM
fumecheng-7612	689	9	peak	peak	NOUN
fumecheng-7612	689	10	at	at	ADP
fumecheng-7612	689	11	excitation	excitation	NOUN
fumecheng-7612	689	12	frequency	frequency	NOUN
fumecheng-7612	689	13	,	,	PUNCT
fumecheng-7612	689	14	and	and	CCONJ
fumecheng-7612	689	15	the	the	DET
fumecheng-7612	689	16	peaks	peak	NOUN
fumecheng-7612	689	17	at	at	ADP
fumecheng-7612	689	18	natural	natural	ADJ
fumecheng-7612	689	19	frequencies	frequency	NOUN
fumecheng-7612	689	20	are	be	AUX
fumecheng-7612	689	21	not	not	PART
fumecheng-7612	689	22	very	very	ADV
fumecheng-7612	689	23	obvious	obvious	ADJ
fumecheng-7612	689	24	.	.	PUNCT
fumecheng-7612	690	1	fig	fig	NOUN
fumecheng-7612	690	2	.	.	PUNCT
fumecheng-7612	691	1	6	6	NUM
fumecheng-7612	691	2	time	time	NOUN
fumecheng-7612	691	3	periods	period	NOUN
fumecheng-7612	691	4	of	of	ADP
fumecheng-7612	691	5	the	the	DET
fumecheng-7612	691	6	system	system	NOUN
fumecheng-7612	691	7	vibration	vibration	NOUN
fumecheng-7612	691	8	staying	stay	VERB
fumecheng-7612	691	9	at	at	ADP
fumecheng-7612	691	10	different	different	ADJ
fumecheng-7612	691	11	kl	kl	NOUN
fumecheng-7612	691	12	values	value	NOUN
fumecheng-7612	691	13	with	with	ADP
fumecheng-7612	691	14	different	different	ADJ
fumecheng-7612	691	15	levels	level	NOUN
fumecheng-7612	691	16	of	of	ADP
fumecheng-7612	691	17	boundary	boundary	ADJ
fumecheng-7612	691	18	spring	spring	NOUN
fumecheng-7612	691	19	nonlinearity	nonlinearity	NOUN
fumecheng-7612	691	20	it	it	PRON
fumecheng-7612	691	21	is	be	AUX
fumecheng-7612	691	22	also	also	ADV
fumecheng-7612	691	23	interesting	interesting	ADJ
fumecheng-7612	691	24	to	to	PART
fumecheng-7612	691	25	see	see	VERB
fumecheng-7612	691	26	that	that	SCONJ
fumecheng-7612	691	27	when	when	SCONJ
fumecheng-7612	691	28	ranges	range	NOUN
fumecheng-7612	691	29	of	of	ADP
fumecheng-7612	691	30	kl	kl	PROPN
fumecheng-7612	691	31	are	be	AUX
fumecheng-7612	691	32	20000	20000	NUM
fumecheng-7612	691	33	-	-	SYM
fumecheng-7612	691	34	60702	60702	NUM
fumecheng-7612	691	35	n	n	CCONJ
fumecheng-7612	691	36	/	/	SYM
fumecheng-7612	691	37	m	m	PROPN
fumecheng-7612	691	38	,	,	PUNCT
fumecheng-7612	691	39	with	with	ADP
fumecheng-7612	691	40	the	the	DET
fumecheng-7612	691	41	chosen	choose	VERB
fumecheng-7612	691	42	base	base	NOUN
fumecheng-7612	691	43	motion	motion	NOUN
fumecheng-7612	691	44	excitation	excitation	NOUN
fumecheng-7612	691	45	constants	constant	NOUN
fumecheng-7612	691	46	,	,	PUNCT
fumecheng-7612	691	47			PROPN
fumecheng-7612	691	48	=	=	NOUN
fumecheng-7612	691	49	672	672	NUM
fumecheng-7612	691	50	rad	rad	NOUN
fumecheng-7612	691	51	/	/	SYM
fumecheng-7612	691	52	s	s	PROPN
fumecheng-7612	691	53	and	and	CCONJ
fumecheng-7612	691	54	y=0.005	y=0.005	NUM
fumecheng-7612	691	55	m	m	PROPN
fumecheng-7612	691	56	,	,	PUNCT
fumecheng-7612	691	57	the	the	DET
fumecheng-7612	691	58	beam	beam	NOUN
fumecheng-7612	691	59	experiences	experience	VERB
fumecheng-7612	691	60	relatively	relatively	ADV
fumecheng-7612	691	61	larger	large	ADJ
fumecheng-7612	691	62	vibration	vibration	NOUN
fumecheng-7612	691	63	amplitude	amplitude	NOUN
fumecheng-7612	691	64	.	.	PUNCT
fumecheng-7612	692	1	but	but	CCONJ
fumecheng-7612	692	2	when	when	SCONJ
fumecheng-7612	692	3	the	the	DET
fumecheng-7612	692	4	range	range	NOUN
fumecheng-7612	692	5	of	of	ADP
fumecheng-7612	692	6	kl	kl	PROPN
fumecheng-7612	692	7	becomes	become	VERB
fumecheng-7612	692	8	20000	20000	NUM
fumecheng-7612	692	9	-	-	SYM
fumecheng-7612	692	10	31594	31594	NUM
fumecheng-7612	692	11	n	n	CCONJ
fumecheng-7612	692	12	/	/	SYM
fumecheng-7612	692	13	m	m	PROPN
fumecheng-7612	692	14	or	or	CCONJ
fumecheng-7612	692	15	20000	20000	NUM
fumecheng-7612	692	16	-	-	SYM
fumecheng-7612	692	17	80511	80511	NUM
fumecheng-7612	692	18	n	n	CCONJ
fumecheng-7612	692	19	/	/	SYM
fumecheng-7612	692	20	m	m	PROPN
fumecheng-7612	692	21	,	,	PUNCT
fumecheng-7612	692	22	the	the	DET
fumecheng-7612	692	23	vibration	vibration	NOUN
fumecheng-7612	692	24	amplitude	amplitude	NOUN
fumecheng-7612	692	25	decreases	decrease	VERB
fumecheng-7612	692	26	.	.	PUNCT
fumecheng-7612	693	1	this	this	DET
fumecheng-7612	693	2	phenomenon	phenomenon	NOUN
fumecheng-7612	693	3	is	be	AUX
fumecheng-7612	693	4	mainly	mainly	ADV
fumecheng-7612	693	5	due	due	ADP
fumecheng-7612	693	6	to	to	ADP
fumecheng-7612	693	7	the	the	DET
fumecheng-7612	693	8	longer	long	ADJ
fumecheng-7612	693	9	period	period	NOUN
fumecheng-7612	693	10	of	of	ADP
fumecheng-7612	693	11	vibration	vibration	NOUN
fumecheng-7612	693	12	close	close	ADV
fumecheng-7612	693	13	to	to	ADP
fumecheng-7612	693	14	resonance	resonance	NOUN
fumecheng-7612	693	15	when	when	SCONJ
fumecheng-7612	693	16	the	the	DET
fumecheng-7612	693	17	kl	kl	NOUN
fumecheng-7612	693	18	is	be	AUX
fumecheng-7612	693	19	between	between	ADP
fumecheng-7612	693	20	20000	20000	NUM
fumecheng-7612	693	21	and	and	CCONJ
fumecheng-7612	693	22	60702	60702	NUM
fumecheng-7612	693	23	n	n	CCONJ
fumecheng-7612	693	24	/	/	SYM
fumecheng-7612	693	25	m.	m.	NOUN
fumecheng-7612	693	26	from	from	ADP
fumecheng-7612	693	27	table	table	NOUN
fumecheng-7612	693	28	3	3	NUM
fumecheng-7612	693	29	,	,	PUNCT
fumecheng-7612	693	30	it	it	PRON
fumecheng-7612	693	31	is	be	AUX
fumecheng-7612	693	32	noted	note	VERB
fumecheng-7612	693	33	that	that	SCONJ
fumecheng-7612	693	34	the	the	DET
fumecheng-7612	693	35	beam	beam	NOUN
fumecheng-7612	693	36	steady	steady	ADJ
fumecheng-7612	693	37	state	state	NOUN
fumecheng-7612	693	38	vibration	vibration	NOUN
fumecheng-7612	693	39	amplitude	amplitude	NOUN
fumecheng-7612	693	40	reaches	reach	VERB
fumecheng-7612	693	41	to	to	ADP
fumecheng-7612	693	42	relatively	relatively	ADV
fumecheng-7612	693	43	higher	high	ADJ
fumecheng-7612	693	44	value	value	NOUN
fumecheng-7612	693	45	,	,	PUNCT
fumecheng-7612	693	46	when	when	SCONJ
fumecheng-7612	693	47	the	the	DET
fumecheng-7612	693	48	spring	spring	NOUN
fumecheng-7612	693	49	support	support	NOUN
fumecheng-7612	693	50	stiffness	stiffness	NOUN
fumecheng-7612	693	51	,	,	PUNCT
fumecheng-7612	693	52	kl	kl	PROPN
fumecheng-7612	693	53	,	,	PUNCT
fumecheng-7612	693	54	is	be	AUX
fumecheng-7612	693	55	between	between	ADP
fumecheng-7612	693	56	41120	41120	NUM
fumecheng-7612	693	57	-	-	SYM
fumecheng-7612	693	58	60702	60702	NUM
fumecheng-7612	693	59	n	n	CCONJ
fumecheng-7612	693	60	/	/	SYM
fumecheng-7612	693	61	m	m	AUX
fumecheng-7612	693	62	leading	lead	VERB
fumecheng-7612	693	63	to	to	ADP
fumecheng-7612	693	64	the	the	DET
fumecheng-7612	693	65	natural	natural	ADJ
fumecheng-7612	693	66	frequency	frequency	NOUN
fumecheng-7612	693	67	of	of	ADP
fumecheng-7612	693	68	the	the	DET
fumecheng-7612	693	69	beam	beam	NOUN
fumecheng-7612	693	70	close	close	ADV
fumecheng-7612	693	71	to	to	ADP
fumecheng-7612	693	72	the	the	DET
fumecheng-7612	693	73	excitation	excitation	NOUN
fumecheng-7612	693	74	frequency	frequency	NOUN
fumecheng-7612	693	75	,	,	PUNCT
fumecheng-7612	693	76			PROPN
fumecheng-7612	693	77	=	=	PROPN
fumecheng-7612	693	78	672	672	NUM
fumecheng-7612	693	79	rad	rad	NOUN
fumecheng-7612	693	80	/	/	SYM
fumecheng-7612	693	81	s.	s.	PROPN
fumecheng-7612	693	82	fig	fig	PROPN
fumecheng-7612	693	83	.	.	PUNCT
fumecheng-7612	694	1	6	6	NUM
fumecheng-7612	694	2	shows	show	VERB
fumecheng-7612	694	3	the	the	DET
fumecheng-7612	694	4	times	time	NOUN
fumecheng-7612	694	5	periods	period	NOUN
fumecheng-7612	694	6	of	of	ADP
fumecheng-7612	694	7	the	the	DET
fumecheng-7612	694	8	beam	beam	NOUN
fumecheng-7612	694	9	vibration	vibration	NOUN
fumecheng-7612	694	10	staying	stay	VERB
fumecheng-7612	694	11	at	at	ADP
fumecheng-7612	694	12	different	different	ADJ
fumecheng-7612	694	13	spring	spring	NOUN
fumecheng-7612	694	14	support	support	NOUN
fumecheng-7612	694	15	constants	constant	NOUN
fumecheng-7612	694	16	in	in	ADP
fumecheng-7612	694	17	different	different	ADJ
fumecheng-7612	694	18	nonlinearity	nonlinearity	NOUN
fumecheng-7612	694	19	cases	case	NOUN
fumecheng-7612	694	20	(	(	PUNCT
fumecheng-7612	694	21	in	in	ADP
fumecheng-7612	694	22	total	total	ADJ
fumecheng-7612	694	23	0.6	0.6	NUM
fumecheng-7612	694	24	s	s	NOUN
fumecheng-7612	694	25	)	)	PUNCT
fumecheng-7612	694	26	.	.	PUNCT
fumecheng-7612	695	1	from	from	ADP
fumecheng-7612	695	2	fig	fig	NOUN
fumecheng-7612	695	3	.	.	PUNCT
fumecheng-7612	696	1	6	6	NUM
fumecheng-7612	696	2	,	,	PUNCT
fumecheng-7612	696	3	it	it	PRON
fumecheng-7612	696	4	can	can	AUX
fumecheng-7612	696	5	be	be	AUX
fumecheng-7612	696	6	seen	see	VERB
fumecheng-7612	696	7	that	that	SCONJ
fumecheng-7612	696	8	the	the	DET
fumecheng-7612	696	9	beam	beam	NOUN
fumecheng-7612	696	10	experiences	experience	VERB
fumecheng-7612	696	11	longer	long	ADJ
fumecheng-7612	696	12	period	period	NOUN
fumecheng-7612	696	13	of	of	ADP
fumecheng-7612	696	14	vibration	vibration	NOUN
fumecheng-7612	696	15	at	at	ADP
fumecheng-7612	696	16	kl	kl	NOUN
fumecheng-7612	696	17	=	=	NOUN
fumecheng-7612	696	18	60702	60702	NUM
fumecheng-7612	696	19	n	n	CCONJ
fumecheng-7612	696	20	/	/	SYM
fumecheng-7612	696	21	m	m	VERB
fumecheng-7612	696	22	closer	close	ADJ
fumecheng-7612	696	23	to	to	ADP
fumecheng-7612	696	24	resonance	resonance	NOUN
fumecheng-7612	696	25	,	,	PUNCT
fumecheng-7612	696	26	when	when	SCONJ
fumecheng-7612	696	27	kl	kl	PROPN
fumecheng-7612	696	28	is	be	AUX
fumecheng-7612	696	29	between	between	ADP
fumecheng-7612	696	30	20000	20000	NUM
fumecheng-7612	696	31	and	and	CCONJ
fumecheng-7612	696	32	60702	60702	NUM
fumecheng-7612	696	33	n	n	CCONJ
fumecheng-7612	696	34	/	/	SYM
fumecheng-7612	697	1	m	m	AUX
fumecheng-7612	697	2	compared	compare	VERB
fumecheng-7612	697	3	with	with	ADP
fumecheng-7612	697	4	other	other	ADJ
fumecheng-7612	697	5	two	two	NUM
fumecheng-7612	697	6	cases	case	NOUN
fumecheng-7612	697	7	.	.	PUNCT
fumecheng-7612	698	1	although	although	SCONJ
fumecheng-7612	698	2	the	the	DET
fumecheng-7612	698	3	above	above	ADJ
fumecheng-7612	698	4	values	value	NOUN
fumecheng-7612	698	5	are	be	AUX
fumecheng-7612	698	6	just	just	ADV
fumecheng-7612	698	7	obtained	obtain	VERB
fumecheng-7612	698	8	from	from	ADP
fumecheng-7612	698	9	one	one	NUM
fumecheng-7612	698	10	specific	specific	ADJ
fumecheng-7612	698	11	case	case	NOUN
fumecheng-7612	698	12	study	study	NOUN
fumecheng-7612	698	13	,	,	PUNCT
fumecheng-7612	698	14	it	it	PRON
fumecheng-7612	698	15	can	can	AUX
fumecheng-7612	698	16	be	be	AUX
fumecheng-7612	698	17	concluded	conclude	VERB
fumecheng-7612	698	18	that	that	SCONJ
fumecheng-7612	698	19	if	if	SCONJ
fumecheng-7612	698	20	higher	high	ADJ
fumecheng-7612	698	21	boundary	boundary	NOUN
fumecheng-7612	698	22	of	of	ADP
fumecheng-7612	698	23	the	the	DET
fumecheng-7612	698	24	hardening	harden	VERB
fumecheng-7612	698	25	nonlinear	nonlinear	ADJ
fumecheng-7612	698	26	spring	spring	NOUN
fumecheng-7612	698	27	stiffness	stiffness	NOUN
fumecheng-7612	698	28	leads	lead	VERB
fumecheng-7612	698	29	to	to	ADP
fumecheng-7612	698	30	the	the	DET
fumecheng-7612	698	31	resonance	resonance	NOUN
fumecheng-7612	698	32	or	or	CCONJ
fumecheng-7612	698	33	close	close	ADJ
fumecheng-7612	698	34	to	to	ADP
fumecheng-7612	698	35	resonance	resonance	NOUN
fumecheng-7612	698	36	vibration	vibration	NOUN
fumecheng-7612	698	37	,	,	PUNCT
fumecheng-7612	698	38	the	the	DET
fumecheng-7612	698	39	vibration	vibration	NOUN
fumecheng-7612	698	40	amplitude	amplitude	NOUN
fumecheng-7612	698	41	of	of	ADP
fumecheng-7612	698	42	the	the	DET
fumecheng-7612	698	43	whole	whole	ADJ
fumecheng-7612	698	44	system	system	NOUN
fumecheng-7612	698	45	can	can	AUX
fumecheng-7612	698	46	be	be	AUX
fumecheng-7612	698	47	larger	large	ADJ
fumecheng-7612	698	48	,	,	PUNCT
fumecheng-7612	698	49	while	while	SCONJ
fumecheng-7612	698	50	the	the	DET
fumecheng-7612	698	51	exact	exact	ADJ
fumecheng-7612	698	52	responses	response	NOUN
fumecheng-7612	698	53	will	will	AUX
fumecheng-7612	698	54	differ	differ	VERB
fumecheng-7612	698	55	with	with	ADP
fumecheng-7612	698	56	different	different	ADJ
fumecheng-7612	698	57	system	system	NOUN
fumecheng-7612	698	58	constants	constant	NOUN
fumecheng-7612	698	59	especially	especially	ADV
fumecheng-7612	698	60	different	different	ADJ
fumecheng-7612	698	61	nonlinear	nonlinear	ADJ
fumecheng-7612	698	62	spring	spring	NOUN
fumecheng-7612	698	63	intervals	interval	NOUN
fumecheng-7612	698	64	.	.	PUNCT
fumecheng-7612	699	1	study	study	NOUN
fumecheng-7612	699	2	on	on	ADP
fumecheng-7612	699	3	vibration	vibration	NOUN
fumecheng-7612	699	4	response	response	NOUN
fumecheng-7612	699	5	of	of	ADP
fumecheng-7612	699	6	a	a	DET
fumecheng-7612	699	7	non	non	ADJ
fumecheng-7612	699	8	-	-	ADJ
fumecheng-7612	699	9	uniform	uniform	ADJ
fumecheng-7612	699	10	beam	beam	NOUN
fumecheng-7612	699	11	with	with	ADP
fumecheng-7612	699	12	nonlinear	nonlinear	ADJ
fumecheng-7612	699	13	boundary	boundary	ADJ
fumecheng-7612	699	14	condition	condition	NOUN
fumecheng-7612	699	15	801	801	NUM
fumecheng-7612	699	16	3.4	3.4	NUM
fumecheng-7612	699	17	.	.	PUNCT
fumecheng-7612	700	1	influence	influence	NOUN
fumecheng-7612	700	2	of	of	ADP
fumecheng-7612	700	3	excitation	excitation	NOUN
fumecheng-7612	700	4	amplitudes	amplitude	NOUN
fumecheng-7612	700	5	on	on	ADP
fumecheng-7612	700	6	boundary	boundary	ADJ
fumecheng-7612	700	7	nonlinearity	nonlinearity	NOUN
fumecheng-7612	700	8	it	it	PRON
fumecheng-7612	700	9	is	be	AUX
fumecheng-7612	700	10	noticed	notice	VERB
fumecheng-7612	700	11	that	that	SCONJ
fumecheng-7612	700	12	different	different	ADJ
fumecheng-7612	700	13	excitation	excitation	NOUN
fumecheng-7612	700	14	amplitudes	amplitude	NOUN
fumecheng-7612	700	15	may	may	AUX
fumecheng-7612	700	16	introduce	introduce	VERB
fumecheng-7612	700	17	different	different	ADJ
fumecheng-7612	700	18	level	level	NOUN
fumecheng-7612	700	19	of	of	ADP
fumecheng-7612	700	20	linearity	linearity	NOUN
fumecheng-7612	700	21	(	(	PUNCT
fumecheng-7612	700	22	different	different	ADJ
fumecheng-7612	700	23	nonlinearity	nonlinearity	NOUN
fumecheng-7612	700	24	spring	spring	NOUN
fumecheng-7612	700	25	stiffness	stiffness	NOUN
fumecheng-7612	700	26	variation	variation	NOUN
fumecheng-7612	700	27	range	range	NOUN
fumecheng-7612	700	28	)	)	PUNCT
fumecheng-7612	700	29	in	in	ADP
fumecheng-7612	700	30	the	the	DET
fumecheng-7612	700	31	vibration	vibration	NOUN
fumecheng-7612	700	32	of	of	ADP
fumecheng-7612	700	33	the	the	DET
fumecheng-7612	700	34	structures	structure	NOUN
fumecheng-7612	700	35	with	with	ADP
fumecheng-7612	700	36	nonlinear	nonlinear	ADJ
fumecheng-7612	700	37	boundary	boundary	NOUN
fumecheng-7612	700	38	.	.	PUNCT
fumecheng-7612	701	1	in	in	ADP
fumecheng-7612	701	2	this	this	DET
fumecheng-7612	701	3	section	section	NOUN
fumecheng-7612	701	4	,	,	PUNCT
fumecheng-7612	701	5	the	the	DET
fumecheng-7612	701	6	excitation	excitation	NOUN
fumecheng-7612	701	7	angular	angular	ADJ
fumecheng-7612	701	8	frequency	frequency	NOUN
fumecheng-7612	701	9	is	be	AUX
fumecheng-7612	701	10	fixed	fix	VERB
fumecheng-7612	701	11	as	as	NOUN
fumecheng-7612	701	12	=	=	SYM
fumecheng-7612	701	13	672	672	NUM
fumecheng-7612	701	14	rad	rad	NOUN
fumecheng-7612	701	15	/	/	SYM
fumecheng-7612	701	16	s.	s.	PROPN
fumecheng-7612	701	17	the	the	DET
fumecheng-7612	701	18	kl	kl	PROPN
fumecheng-7612	701	19	values	value	NOUN
fumecheng-7612	701	20	,	,	PUNCT
fumecheng-7612	701	21	the	the	DET
fumecheng-7612	701	22	amplitudes	amplitude	NOUN
fumecheng-7612	701	23	of	of	ADP
fumecheng-7612	701	24	steady	steady	ADJ
fumecheng-7612	701	25	state	state	NOUN
fumecheng-7612	701	26	deflections	deflection	NOUN
fumecheng-7612	701	27	and	and	CCONJ
fumecheng-7612	701	28	their	their	PRON
fumecheng-7612	701	29	corresponding	corresponding	ADJ
fumecheng-7612	701	30	sectional	sectional	ADJ
fumecheng-7612	701	31	intervals	interval	NOUN
fumecheng-7612	701	32	are	be	AUX
fumecheng-7612	701	33	shown	show	VERB
fumecheng-7612	701	34	in	in	ADP
fumecheng-7612	701	35	table	table	NOUN
fumecheng-7612	701	36	.	.	PUNCT
fumecheng-7612	702	1	3	3	X
fumecheng-7612	702	2	.	.	X
fumecheng-7612	702	3	when	when	SCONJ
fumecheng-7612	702	4	the	the	DET
fumecheng-7612	702	5	excitation	excitation	NOUN
fumecheng-7612	702	6	amplitudes	amplitude	NOUN
fumecheng-7612	702	7	are	be	AUX
fumecheng-7612	702	8	0.0005	0.0005	NUM
fumecheng-7612	702	9	m	m	NOUN
fumecheng-7612	702	10	,	,	PUNCT
fumecheng-7612	702	11	0.0025	0.0025	NUM
fumecheng-7612	702	12	m	m	NOUN
fumecheng-7612	702	13	,	,	PUNCT
fumecheng-7612	702	14	0.005	0.005	NUM
fumecheng-7612	702	15	m	m	NOUN
fumecheng-7612	702	16	and	and	CCONJ
fumecheng-7612	702	17	0.01	0.01	NUM
fumecheng-7612	702	18	m	m	NOUN
fumecheng-7612	702	19	,	,	PUNCT
fumecheng-7612	702	20	respectively	respectively	ADV
fumecheng-7612	702	21	,	,	PUNCT
fumecheng-7612	702	22	the	the	DET
fumecheng-7612	702	23	times	time	NOUN
fumecheng-7612	702	24	periods	period	NOUN
fumecheng-7612	702	25	of	of	ADP
fumecheng-7612	702	26	the	the	DET
fumecheng-7612	702	27	beam	beam	NOUN
fumecheng-7612	702	28	vibration	vibration	NOUN
fumecheng-7612	702	29	staying	stay	VERB
fumecheng-7612	702	30	at	at	ADP
fumecheng-7612	702	31	different	different	ADJ
fumecheng-7612	702	32	kl	kl	NOUN
fumecheng-7612	702	33	values	value	NOUN
fumecheng-7612	702	34	(	(	PUNCT
fumecheng-7612	702	35	in	in	ADP
fumecheng-7612	702	36	total	total	ADJ
fumecheng-7612	702	37	1	1	NUM
fumecheng-7612	702	38	s	s	NOUN
fumecheng-7612	702	39	)	)	PUNCT
fumecheng-7612	702	40	are	be	AUX
fumecheng-7612	702	41	shown	show	VERB
fumecheng-7612	702	42	in	in	ADP
fumecheng-7612	702	43	fig	fig	NOUN
fumecheng-7612	702	44	.	.	PUNCT
fumecheng-7612	703	1	7	7	X
fumecheng-7612	703	2	.	.	X
fumecheng-7612	703	3	fig	fig	NOUN
fumecheng-7612	703	4	.	.	PUNCT
fumecheng-7612	704	1	7	7	NUM
fumecheng-7612	704	2	time	time	NOUN
fumecheng-7612	704	3	periods	period	NOUN
fumecheng-7612	704	4	of	of	ADP
fumecheng-7612	704	5	the	the	DET
fumecheng-7612	704	6	system	system	NOUN
fumecheng-7612	704	7	vibration	vibration	NOUN
fumecheng-7612	704	8	staying	stay	VERB
fumecheng-7612	704	9	at	at	ADP
fumecheng-7612	704	10	different	different	ADJ
fumecheng-7612	704	11	kl	kl	NOUN
fumecheng-7612	704	12	values	value	NOUN
fumecheng-7612	704	13	under	under	ADP
fumecheng-7612	704	14	different	different	ADJ
fumecheng-7612	704	15	excitation	excitation	NOUN
fumecheng-7612	704	16	amplitudes	amplitude	NOUN
fumecheng-7612	704	17	it	it	PRON
fumecheng-7612	704	18	can	can	AUX
fumecheng-7612	704	19	be	be	AUX
fumecheng-7612	704	20	seen	see	VERB
fumecheng-7612	704	21	from	from	ADP
fumecheng-7612	704	22	fig	fig	NOUN
fumecheng-7612	704	23	.	.	PUNCT
fumecheng-7612	705	1	7	7	NUM
fumecheng-7612	705	2	that	that	SCONJ
fumecheng-7612	705	3	when	when	SCONJ
fumecheng-7612	705	4	the	the	DET
fumecheng-7612	705	5	excitation	excitation	NOUN
fumecheng-7612	705	6	amplitude	amplitude	NOUN
fumecheng-7612	705	7	is	be	AUX
fumecheng-7612	705	8	0.0005	0.0005	NUM
fumecheng-7612	705	9	m	m	PROPN
fumecheng-7612	705	10	,	,	PUNCT
fumecheng-7612	705	11	the	the	DET
fumecheng-7612	705	12	beam	beam	NOUN
fumecheng-7612	705	13	vibration	vibration	NOUN
fumecheng-7612	705	14	at	at	ADP
fumecheng-7612	705	15	the	the	DET
fumecheng-7612	705	16	spring	spring	NOUN
fumecheng-7612	705	17	boundary	boundary	NOUN
fumecheng-7612	705	18	is	be	AUX
fumecheng-7612	705	19	with	with	ADP
fumecheng-7612	705	20	extremely	extremely	ADV
fumecheng-7612	705	21	low	low	ADJ
fumecheng-7612	705	22	amplitude	amplitude	NOUN
fumecheng-7612	705	23	(	(	PUNCT
fumecheng-7612	705	24	<	<	X
fumecheng-7612	705	25	0.002	0.002	NUM
fumecheng-7612	705	26	m	m	NOUN
fumecheng-7612	705	27	)	)	PUNCT
fumecheng-7612	705	28	,	,	PUNCT
fumecheng-7612	705	29	and	and	CCONJ
fumecheng-7612	705	30	the	the	DET
fumecheng-7612	705	31	spring	spring	NOUN
fumecheng-7612	705	32	stiffness	stiffness	NOUN
fumecheng-7612	705	33	does	do	AUX
fumecheng-7612	705	34	not	not	PART
fumecheng-7612	705	35	change	change	VERB
fumecheng-7612	705	36	during	during	ADP
fumecheng-7612	705	37	the	the	DET
fumecheng-7612	705	38	vibration	vibration	NOUN
fumecheng-7612	705	39	with	with	ADP
fumecheng-7612	705	40	the	the	DET
fumecheng-7612	705	41	linear	linear	PROPN
fumecheng-7612	705	42	boundary	boundary	NOUN
fumecheng-7612	705	43	.	.	PUNCT
fumecheng-7612	706	1	with	with	ADP
fumecheng-7612	706	2	the	the	DET
fumecheng-7612	706	3	increment	increment	NOUN
fumecheng-7612	706	4	of	of	ADP
fumecheng-7612	706	5	excitation	excitation	NOUN
fumecheng-7612	706	6	amplitude	amplitude	NOUN
fumecheng-7612	706	7	,	,	PUNCT
fumecheng-7612	706	8	the	the	DET
fumecheng-7612	706	9	range	range	NOUN
fumecheng-7612	706	10	of	of	ADP
fumecheng-7612	706	11	the	the	DET
fumecheng-7612	706	12	spring	spring	NOUN
fumecheng-7612	706	13	stiffness	stiffness	NOUN
fumecheng-7612	706	14	variation	variation	NOUN
fumecheng-7612	706	15	and	and	CCONJ
fumecheng-7612	706	16	level	level	NOUN
fumecheng-7612	706	17	of	of	ADP
fumecheng-7612	706	18	the	the	DET
fumecheng-7612	706	19	nonlinearity	nonlinearity	NOUN
fumecheng-7612	706	20	increases	increase	NOUN
fumecheng-7612	706	21	.	.	PUNCT
fumecheng-7612	707	1	when	when	SCONJ
fumecheng-7612	707	2	the	the	DET
fumecheng-7612	707	3	amplitude	amplitude	NOUN
fumecheng-7612	707	4	becomes	become	VERB
fumecheng-7612	707	5	0.01	0.01	NUM
fumecheng-7612	707	6	m	m	NOUN
fumecheng-7612	707	7	,	,	PUNCT
fumecheng-7612	707	8	the	the	DET
fumecheng-7612	707	9	level	level	NOUN
fumecheng-7612	707	10	of	of	ADP
fumecheng-7612	707	11	the	the	DET
fumecheng-7612	707	12	boundary	boundary	ADJ
fumecheng-7612	707	13	nonlinearity	nonlinearity	NOUN
fumecheng-7612	707	14	is	be	AUX
fumecheng-7612	707	15	the	the	DET
fumecheng-7612	707	16	strongest	strong	ADJ
fumecheng-7612	707	17	covering	cover	VERB
fumecheng-7612	707	18	all	all	DET
fumecheng-7612	707	19	the	the	DET
fumecheng-7612	707	20	kl	kl	PROPN
fumecheng-7612	707	21	variation	variation	NOUN
fumecheng-7612	707	22	range	range	NOUN
fumecheng-7612	707	23	.	.	PUNCT
fumecheng-7612	708	1	at	at	ADP
fumecheng-7612	708	2	the	the	DET
fumecheng-7612	708	3	same	same	ADJ
fumecheng-7612	708	4	time	time	NOUN
fumecheng-7612	708	5	,	,	PUNCT
fumecheng-7612	708	6	with	with	ADP
fumecheng-7612	708	7	different	different	ADJ
fumecheng-7612	708	8	amplitudes	amplitude	NOUN
fumecheng-7612	708	9	,	,	PUNCT
fumecheng-7612	708	10	the	the	DET
fumecheng-7612	708	11	vibration	vibration	ADJ
fumecheng-7612	708	12	period	period	NOUN
fumecheng-7612	708	13	of	of	ADP
fumecheng-7612	708	14	the	the	DET
fumecheng-7612	708	15	beam	beam	NOUN
fumecheng-7612	708	16	staying	stay	VERB
fumecheng-7612	708	17	at	at	ADP
fumecheng-7612	708	18	each	each	DET
fumecheng-7612	708	19	kl	kl	NOUN
fumecheng-7612	708	20	is	be	AUX
fumecheng-7612	708	21	also	also	ADV
fumecheng-7612	708	22	different	different	ADJ
fumecheng-7612	708	23	.	.	PUNCT
fumecheng-7612	709	1	following	follow	VERB
fumecheng-7612	709	2	the	the	DET
fumecheng-7612	709	3	given	give	VERB
fumecheng-7612	709	4	the	the	DET
fumecheng-7612	709	5	deflection	deflection	NOUN
fumecheng-7612	709	6	intervals	interval	NOUN
fumecheng-7612	709	7	in	in	ADP
fumecheng-7612	709	8	table	table	NOUN
fumecheng-7612	709	9	3	3	NUM
fumecheng-7612	709	10	,	,	PUNCT
fumecheng-7612	709	11	with	with	ADP
fumecheng-7612	709	12	different	different	ADJ
fumecheng-7612	709	13	excitation	excitation	NOUN
fumecheng-7612	709	14	amplitudes	amplitude	NOUN
fumecheng-7612	709	15	,	,	PUNCT
fumecheng-7612	709	16	the	the	DET
fumecheng-7612	709	17	beam	beam	NOUN
fumecheng-7612	709	18	deflections	deflection	NOUN
fumecheng-7612	709	19	at	at	ADP
fumecheng-7612	709	20	the	the	DET
fumecheng-7612	709	21	spring	spring	NOUN
fumecheng-7612	709	22	boundary	boundary	NOUN
fumecheng-7612	709	23	falling	fall	VERB
fumecheng-7612	709	24	into	into	ADP
fumecheng-7612	709	25	each	each	DET
fumecheng-7612	709	26	interval	interval	NOUN
fumecheng-7612	709	27	are	be	AUX
fumecheng-7612	709	28	different	different	ADJ
fumecheng-7612	709	29	,	,	PUNCT
fumecheng-7612	709	30	and	and	CCONJ
fumecheng-7612	709	31	the	the	DET
fumecheng-7612	709	32	vibration	vibration	NOUN
fumecheng-7612	709	33	period	period	NOUN
fumecheng-7612	709	34	on	on	ADP
fumecheng-7612	709	35	each	each	DET
fumecheng-7612	709	36	kl	kl	NOUN
fumecheng-7612	709	37	is	be	AUX
fumecheng-7612	709	38	naturally	naturally	ADV
fumecheng-7612	709	39	not	not	PART
fumecheng-7612	709	40	the	the	DET
fumecheng-7612	709	41	same	same	ADJ
fumecheng-7612	709	42	.	.	PUNCT
fumecheng-7612	710	1	when	when	SCONJ
fumecheng-7612	710	2	the	the	DET
fumecheng-7612	710	3	spring	spring	NOUN
fumecheng-7612	710	4	properties	property	NOUN
fumecheng-7612	710	5	are	be	AUX
fumecheng-7612	710	6	known	know	VERB
fumecheng-7612	710	7	,	,	PUNCT
fumecheng-7612	710	8	the	the	DET
fumecheng-7612	710	9	vibration	vibration	ADJ
fumecheng-7612	710	10	period	period	NOUN
fumecheng-7612	710	11	of	of	ADP
fumecheng-7612	710	12	the	the	DET
fumecheng-7612	710	13	beam	beam	NOUN
fumecheng-7612	710	14	staying	stay	VERB
fumecheng-7612	710	15	at	at	ADP
fumecheng-7612	710	16	a	a	DET
fumecheng-7612	710	17	certain	certain	ADJ
fumecheng-7612	710	18	kl	kl	NOUN
fumecheng-7612	710	19	can	can	AUX
fumecheng-7612	710	20	be	be	AUX
fumecheng-7612	710	21	controlled	control	VERB
fumecheng-7612	710	22	by	by	ADP
fumecheng-7612	710	23	changing	change	VERB
fumecheng-7612	710	24	the	the	DET
fumecheng-7612	710	25	excitation	excitation	NOUN
fumecheng-7612	710	26	amplitude	amplitude	NOUN
fumecheng-7612	710	27	,	,	PUNCT
fumecheng-7612	710	28	and	and	CCONJ
fumecheng-7612	710	29	then	then	ADV
fumecheng-7612	710	30	the	the	DET
fumecheng-7612	710	31	vibration	vibration	NOUN
fumecheng-7612	710	32	state	state	NOUN
fumecheng-7612	710	33	of	of	ADP
fumecheng-7612	710	34	the	the	DET
fumecheng-7612	710	35	beam	beam	NOUN
fumecheng-7612	710	36	can	can	AUX
fumecheng-7612	710	37	be	be	AUX
fumecheng-7612	710	38	adjusted	adjust	VERB
fumecheng-7612	710	39	.	.	PUNCT
fumecheng-7612	711	1	on	on	ADP
fumecheng-7612	711	2	the	the	DET
fumecheng-7612	711	3	other	other	ADJ
fumecheng-7612	711	4	hand	hand	NOUN
fumecheng-7612	711	5	,	,	PUNCT
fumecheng-7612	711	6	while	while	SCONJ
fumecheng-7612	711	7	the	the	DET
fumecheng-7612	711	8	excitation	excitation	NOUN
fumecheng-7612	711	9	frequency	frequency	NOUN
fumecheng-7612	711	10	and	and	CCONJ
fumecheng-7612	711	11	amplitude	amplitude	NOUN
fumecheng-7612	711	12	are	be	AUX
fumecheng-7612	711	13	known	know	VERB
fumecheng-7612	711	14	,	,	PUNCT
fumecheng-7612	711	15	by	by	ADP
fumecheng-7612	711	16	adjusting	adjust	VERB
fumecheng-7612	711	17	the	the	DET
fumecheng-7612	711	18	nonlinearity	nonlinearity	NOUN
fumecheng-7612	711	19	spring	spring	NOUN
fumecheng-7612	711	20	property	property	NOUN
fumecheng-7612	711	21	(	(	PUNCT
fumecheng-7612	711	22	spring	spring	NOUN
fumecheng-7612	711	23	stiffness	stiffness	NOUN
fumecheng-7612	711	24	variation	variation	NOUN
fumecheng-7612	711	25	intervals	interval	NOUN
fumecheng-7612	711	26	)	)	PUNCT
fumecheng-7612	711	27	,	,	PUNCT
fumecheng-7612	711	28	the	the	DET
fumecheng-7612	711	29	vibration	vibration	NOUN
fumecheng-7612	711	30	status	status	NOUN
fumecheng-7612	711	31	can	can	AUX
fumecheng-7612	711	32	be	be	AUX
fumecheng-7612	711	33	controlled	control	VERB
fumecheng-7612	711	34	as	as	ADV
fumecheng-7612	711	35	well	well	ADV
fumecheng-7612	711	36	.	.	PUNCT
fumecheng-7612	712	1	802	802	NUM
fumecheng-7612	712	2	p.	p.	NOUN
fumecheng-7612	712	3	wang	wang	PROPN
fumecheng-7612	712	4	,	,	PUNCT
fumecheng-7612	712	5	n.	n.	PROPN
fumecheng-7612	712	6	wu	wu	PROPN
fumecheng-7612	712	7	,	,	PUNCT
fumecheng-7612	712	8	h.	h.	PROPN
fumecheng-7612	712	9	luo	luo	PROPN
fumecheng-7612	712	10	,	,	PUNCT
fumecheng-7612	712	11	z.	z.	PROPN
fumecheng-7612	712	12	sun	sun	PROPN
fumecheng-7612	712	13	4	4	PROPN
fumecheng-7612	712	14	.	.	PUNCT
fumecheng-7612	712	15	conclusions	conclusion	NOUN
fumecheng-7612	712	16	in	in	ADP
fumecheng-7612	712	17	this	this	DET
fumecheng-7612	712	18	paper	paper	NOUN
fumecheng-7612	712	19	,	,	PUNCT
fumecheng-7612	712	20	an	an	DET
fumecheng-7612	712	21	iterative	iterative	NOUN
fumecheng-7612	712	22	method	method	NOUN
fumecheng-7612	712	23	is	be	AUX
fumecheng-7612	712	24	proposed	propose	VERB
fumecheng-7612	712	25	to	to	PART
fumecheng-7612	712	26	accurately	accurately	ADV
fumecheng-7612	712	27	solve	solve	VERB
fumecheng-7612	712	28	the	the	DET
fumecheng-7612	712	29	force	force	NOUN
fumecheng-7612	712	30	vibration	vibration	NOUN
fumecheng-7612	712	31	response	response	NOUN
fumecheng-7612	712	32	of	of	ADP
fumecheng-7612	712	33	non	non	ADJ
fumecheng-7612	712	34	-	-	ADJ
fumecheng-7612	712	35	uniform	uniform	ADJ
fumecheng-7612	712	36	beam	beam	NOUN
fumecheng-7612	712	37	with	with	ADP
fumecheng-7612	712	38	nonlinear	nonlinear	ADJ
fumecheng-7612	712	39	boundary	boundary	NOUN
fumecheng-7612	712	40	.	.	PUNCT
fumecheng-7612	713	1	taking	take	VERB
fumecheng-7612	713	2	time	time	NOUN
fumecheng-7612	713	3	node	node	NOUN
fumecheng-7612	713	4	as	as	ADP
fumecheng-7612	713	5	iteration	iteration	NOUN
fumecheng-7612	713	6	step	step	NOUN
fumecheng-7612	713	7	,	,	PUNCT
fumecheng-7612	713	8	considering	consider	VERB
fumecheng-7612	713	9	the	the	DET
fumecheng-7612	713	10	change	change	NOUN
fumecheng-7612	713	11	of	of	ADP
fumecheng-7612	713	12	natural	natural	ADJ
fumecheng-7612	713	13	frequencies	frequency	NOUN
fumecheng-7612	713	14	and	and	CCONJ
fumecheng-7612	713	15	mode	mode	NOUN
fumecheng-7612	713	16	shape	shape	NOUN
fumecheng-7612	713	17	functions	function	NOUN
fumecheng-7612	713	18	in	in	ADP
fumecheng-7612	713	19	the	the	DET
fumecheng-7612	713	20	iteration	iteration	NOUN
fumecheng-7612	713	21	process	process	NOUN
fumecheng-7612	713	22	,	,	PUNCT
fumecheng-7612	713	23	the	the	DET
fumecheng-7612	713	24	vibration	vibration	NOUN
fumecheng-7612	713	25	response	response	NOUN
fumecheng-7612	713	26	of	of	ADP
fumecheng-7612	713	27	beam	beam	NOUN
fumecheng-7612	713	28	in	in	ADP
fumecheng-7612	713	29	each	each	DET
fumecheng-7612	713	30	short	short	ADJ
fumecheng-7612	713	31	time	time	NOUN
fumecheng-7612	713	32	period	period	NOUN
fumecheng-7612	713	33	/	/	SYM
fumecheng-7612	713	34	iteration	iteration	NOUN
fumecheng-7612	713	35	step	step	NOUN
fumecheng-7612	713	36	is	be	AUX
fumecheng-7612	713	37	calculated	calculate	VERB
fumecheng-7612	713	38	by	by	ADP
fumecheng-7612	713	39	adm	adm	PROPN
fumecheng-7612	713	40	and	and	CCONJ
fumecheng-7612	713	41	duhamel	duhamel	VERB
fumecheng-7612	713	42	integral	integral	ADJ
fumecheng-7612	713	43	considering	consider	VERB
fumecheng-7612	713	44	both	both	CCONJ
fumecheng-7612	713	45	the	the	DET
fumecheng-7612	713	46	transient	transient	ADJ
fumecheng-7612	713	47	and	and	CCONJ
fumecheng-7612	713	48	steady	steady	ADJ
fumecheng-7612	713	49	response	response	NOUN
fumecheng-7612	713	50	.	.	PUNCT
fumecheng-7612	714	1	the	the	DET
fumecheng-7612	714	2	influences	influence	NOUN
fumecheng-7612	714	3	of	of	ADP
fumecheng-7612	714	4	different	different	ADJ
fumecheng-7612	714	5	excitation	excitation	NOUN
fumecheng-7612	714	6	amplitudes	amplitude	NOUN
fumecheng-7612	714	7	and	and	CCONJ
fumecheng-7612	714	8	frequencies	frequency	NOUN
fumecheng-7612	714	9	on	on	ADP
fumecheng-7612	714	10	boundary	boundary	ADJ
fumecheng-7612	714	11	nonlinearity	nonlinearity	NOUN
fumecheng-7612	714	12	of	of	ADP
fumecheng-7612	714	13	non	non	ADJ
fumecheng-7612	714	14	-	-	ADJ
fumecheng-7612	714	15	uniform	uniform	ADJ
fumecheng-7612	714	16	beam	beam	NOUN
fumecheng-7612	714	17	are	be	AUX
fumecheng-7612	714	18	studied	study	VERB
fumecheng-7612	714	19	.	.	PUNCT
fumecheng-7612	715	1	the	the	DET
fumecheng-7612	715	2	results	result	NOUN
fumecheng-7612	715	3	of	of	ADP
fumecheng-7612	715	4	numerical	numerical	ADJ
fumecheng-7612	715	5	examples	example	NOUN
fumecheng-7612	715	6	reveal	reveal	VERB
fumecheng-7612	715	7	the	the	DET
fumecheng-7612	715	8	following	follow	VERB
fumecheng-7612	715	9	conclusions	conclusion	NOUN
fumecheng-7612	715	10	:	:	PUNCT
fumecheng-7612	715	11	(	(	PUNCT
fumecheng-7612	715	12	1	1	X
fumecheng-7612	715	13	)	)	PUNCT
fumecheng-7612	715	14	comparing	compare	VERB
fumecheng-7612	715	15	iteration	iteration	NOUN
fumecheng-7612	715	16	numerical	numerical	ADJ
fumecheng-7612	715	17	results	result	NOUN
fumecheng-7612	715	18	and	and	CCONJ
fumecheng-7612	715	19	analysis	analysis	NOUN
fumecheng-7612	715	20	solutions	solution	NOUN
fumecheng-7612	715	21	with	with	ADP
fumecheng-7612	715	22	linear	linear	PROPN
fumecheng-7612	715	23	boundary	boundary	ADJ
fumecheng-7612	715	24	condition	condition	NOUN
fumecheng-7612	715	25	,	,	PUNCT
fumecheng-7612	715	26	adm	adm	PROPN
fumecheng-7612	715	27	method	method	NOUN
fumecheng-7612	715	28	is	be	AUX
fumecheng-7612	715	29	found	find	VERB
fumecheng-7612	715	30	to	to	PART
fumecheng-7612	715	31	be	be	AUX
fumecheng-7612	715	32	accurately	accurately	ADV
fumecheng-7612	715	33	combined	combine	VERB
fumecheng-7612	715	34	with	with	ADP
fumecheng-7612	715	35	iteration	iteration	NOUN
fumecheng-7612	715	36	progress	progress	NOUN
fumecheng-7612	715	37	solving	solve	VERB
fumecheng-7612	715	38	non	non	ADJ
fumecheng-7612	715	39	-	-	ADJ
fumecheng-7612	715	40	uniform	uniform	ADJ
fumecheng-7612	715	41	beam	beam	NOUN
fumecheng-7612	715	42	structural	structural	ADJ
fumecheng-7612	715	43	vibration	vibration	NOUN
fumecheng-7612	715	44	with	with	ADP
fumecheng-7612	715	45	the	the	DET
fumecheng-7612	715	46	nonlinear	nonlinear	ADJ
fumecheng-7612	715	47	boundary	boundary	ADJ
fumecheng-7612	715	48	condition	condition	NOUN
fumecheng-7612	715	49	,	,	PUNCT
fumecheng-7612	715	50	although	although	SCONJ
fumecheng-7612	715	51	inevitable	inevitable	ADJ
fumecheng-7612	715	52	minor	minor	ADJ
fumecheng-7612	715	53	error	error	NOUN
fumecheng-7612	715	54	can	can	AUX
fumecheng-7612	715	55	be	be	AUX
fumecheng-7612	715	56	noticed	notice	VERB
fumecheng-7612	715	57	in	in	ADP
fumecheng-7612	715	58	the	the	DET
fumecheng-7612	715	59	calculated	calculate	VERB
fumecheng-7612	715	60	vibration	vibration	NOUN
fumecheng-7612	715	61	mode	mode	NOUN
fumecheng-7612	715	62	shape	shape	NOUN
fumecheng-7612	715	63	functions	function	NOUN
fumecheng-7612	715	64	from	from	ADP
fumecheng-7612	715	65	adm	adm	PROPN
fumecheng-7612	715	66	leading	lead	VERB
fumecheng-7612	715	67	to	to	ADP
fumecheng-7612	715	68	imperfect	imperfect	ADJ
fumecheng-7612	715	69	vibration	vibration	NOUN
fumecheng-7612	715	70	modes	mode	NOUN
fumecheng-7612	715	71	’	'	PUNCT
fumecheng-7612	715	72	orthogonality	orthogonality	NOUN
fumecheng-7612	715	73	.	.	PUNCT
fumecheng-7612	716	1	(	(	PUNCT
fumecheng-7612	716	2	2	2	X
fumecheng-7612	716	3	)	)	PUNCT
fumecheng-7612	716	4	through	through	ADP
fumecheng-7612	716	5	sin	sin	NOUN
fumecheng-7612	716	6	-	-	PUNCT
fumecheng-7612	716	7	sweep	sweep	NOUN
fumecheng-7612	716	8	simulations	simulation	NOUN
fumecheng-7612	716	9	,	,	PUNCT
fumecheng-7612	716	10	clear	clear	ADJ
fumecheng-7612	716	11	nonlinear	nonlinear	ADJ
fumecheng-7612	716	12	spectrum	spectrum	NOUN
fumecheng-7612	716	13	with	with	ADP
fumecheng-7612	716	14	the	the	DET
fumecheng-7612	716	15	hardening	harden	VERB
fumecheng-7612	716	16	nonlinear	nonlinear	ADJ
fumecheng-7612	716	17	boundary	boundary	ADJ
fumecheng-7612	716	18	support	support	NOUN
fumecheng-7612	716	19	can	can	AUX
fumecheng-7612	716	20	be	be	AUX
fumecheng-7612	716	21	noticed	notice	VERB
fumecheng-7612	716	22	.	.	PUNCT
fumecheng-7612	717	1	with	with	ADP
fumecheng-7612	717	2	the	the	DET
fumecheng-7612	717	3	increase	increase	NOUN
fumecheng-7612	717	4	of	of	ADP
fumecheng-7612	717	5	excitation	excitation	NOUN
fumecheng-7612	717	6	frequency	frequency	NOUN
fumecheng-7612	717	7	,	,	PUNCT
fumecheng-7612	717	8	the	the	DET
fumecheng-7612	717	9	maximum	maximum	ADJ
fumecheng-7612	717	10	steady	steady	ADJ
fumecheng-7612	717	11	state	state	NOUN
fumecheng-7612	717	12	of	of	ADP
fumecheng-7612	717	13	the	the	DET
fumecheng-7612	717	14	deflection	deflection	NOUN
fumecheng-7612	717	15	will	will	AUX
fumecheng-7612	717	16	continue	continue	VERB
fumecheng-7612	717	17	to	to	PART
fumecheng-7612	717	18	increase	increase	VERB
fumecheng-7612	717	19	and	and	CCONJ
fumecheng-7612	717	20	then	then	ADV
fumecheng-7612	717	21	suddenly	suddenly	ADV
fumecheng-7612	717	22	drop	drop	VERB
fumecheng-7612	717	23	because	because	SCONJ
fumecheng-7612	717	24	of	of	ADP
fumecheng-7612	717	25	non	non	ADJ
fumecheng-7612	717	26	-	-	NOUN
fumecheng-7612	717	27	resonance	resonance	NOUN
fumecheng-7612	717	28	.	.	PUNCT
fumecheng-7612	718	1	checking	check	VERB
fumecheng-7612	718	2	spectrums	spectrum	NOUN
fumecheng-7612	718	3	with	with	ADP
fumecheng-7612	718	4	different	different	ADJ
fumecheng-7612	718	5	excitation	excitation	NOUN
fumecheng-7612	718	6	amplitudes	amplitude	NOUN
fumecheng-7612	718	7	,	,	PUNCT
fumecheng-7612	718	8	the	the	DET
fumecheng-7612	718	9	maximum	maximum	ADJ
fumecheng-7612	718	10	steady	steady	ADJ
fumecheng-7612	718	11	state	state	NOUN
fumecheng-7612	718	12	beam	beam	NOUN
fumecheng-7612	718	13	deflection	deflection	NOUN
fumecheng-7612	718	14	will	will	AUX
fumecheng-7612	718	15	be	be	AUX
fumecheng-7612	718	16	larger	large	ADJ
fumecheng-7612	718	17	and	and	CCONJ
fumecheng-7612	718	18	the	the	DET
fumecheng-7612	718	19	frequency	frequency	NOUN
fumecheng-7612	718	20	range	range	NOUN
fumecheng-7612	718	21	with	with	ADP
fumecheng-7612	718	22	high	high	ADJ
fumecheng-7612	718	23	vibration	vibration	NOUN
fumecheng-7612	718	24	amplitude	amplitude	NOUN
fumecheng-7612	718	25	in	in	ADP
fumecheng-7612	718	26	the	the	DET
fumecheng-7612	718	27	spectrum	spectrum	NOUN
fumecheng-7612	718	28	will	will	AUX
fumecheng-7612	718	29	be	be	AUX
fumecheng-7612	718	30	wider	wide	ADJ
fumecheng-7612	718	31	with	with	ADP
fumecheng-7612	718	32	the	the	DET
fumecheng-7612	718	33	increase	increase	NOUN
fumecheng-7612	718	34	of	of	ADP
fumecheng-7612	718	35	the	the	DET
fumecheng-7612	718	36	excitation	excitation	NOUN
fumecheng-7612	718	37	amplitude	amplitude	NOUN
fumecheng-7612	718	38	.	.	PUNCT
fumecheng-7612	719	1	(	(	PUNCT
fumecheng-7612	719	2	3	3	X
fumecheng-7612	719	3	)	)	PUNCT
fumecheng-7612	719	4	under	under	ADP
fumecheng-7612	719	5	the	the	DET
fumecheng-7612	719	6	same	same	ADJ
fumecheng-7612	719	7	base	base	NOUN
fumecheng-7612	719	8	motion	motion	NOUN
fumecheng-7612	719	9	excitation	excitation	NOUN
fumecheng-7612	719	10	,	,	PUNCT
fumecheng-7612	719	11	the	the	DET
fumecheng-7612	719	12	beam	beam	NOUN
fumecheng-7612	719	13	vibration	vibration	NOUN
fumecheng-7612	719	14	amplitude	amplitude	NOUN
fumecheng-7612	719	15	and	and	CCONJ
fumecheng-7612	719	16	the	the	DET
fumecheng-7612	719	17	vibration	vibration	NOUN
fumecheng-7612	719	18	period	period	NOUN
fumecheng-7612	719	19	staying	stay	VERB
fumecheng-7612	719	20	at	at	ADP
fumecheng-7612	719	21	a	a	DET
fumecheng-7612	719	22	certain	certain	ADJ
fumecheng-7612	719	23	boundary	boundary	ADJ
fumecheng-7612	719	24	stiffness	stiffness	NOUN
fumecheng-7612	719	25	range	range	NOUN
fumecheng-7612	719	26	varies	vary	VERB
fumecheng-7612	719	27	with	with	ADP
fumecheng-7612	719	28	different	different	ADJ
fumecheng-7612	719	29	level	level	NOUN
fumecheng-7612	719	30	of	of	ADP
fumecheng-7612	719	31	boundary	boundary	ADJ
fumecheng-7612	719	32	nonlinearity	nonlinearity	NOUN
fumecheng-7612	719	33	.	.	PUNCT
fumecheng-7612	720	1	while	while	SCONJ
fumecheng-7612	720	2	the	the	DET
fumecheng-7612	720	3	excitation	excitation	NOUN
fumecheng-7612	720	4	frequency	frequency	NOUN
fumecheng-7612	720	5	and	and	CCONJ
fumecheng-7612	720	6	amplitude	amplitude	NOUN
fumecheng-7612	720	7	are	be	AUX
fumecheng-7612	720	8	known	know	VERB
fumecheng-7612	720	9	,	,	PUNCT
fumecheng-7612	720	10	by	by	ADP
fumecheng-7612	720	11	adjusting	adjust	VERB
fumecheng-7612	720	12	the	the	DET
fumecheng-7612	720	13	nonlinear	nonlinear	ADJ
fumecheng-7612	720	14	spring	spring	NOUN
fumecheng-7612	720	15	property	property	NOUN
fumecheng-7612	720	16	,	,	PUNCT
fumecheng-7612	720	17	the	the	DET
fumecheng-7612	720	18	vibration	vibration	NOUN
fumecheng-7612	720	19	status	status	NOUN
fumecheng-7612	720	20	can	can	AUX
fumecheng-7612	720	21	be	be	AUX
fumecheng-7612	720	22	controlled	control	VERB
fumecheng-7612	720	23	.	.	PUNCT
fumecheng-7612	721	1	(	(	PUNCT
fumecheng-7612	721	2	4	4	NUM
fumecheng-7612	721	3	)	)	PUNCT
fumecheng-7612	721	4	under	under	ADP
fumecheng-7612	721	5	the	the	DET
fumecheng-7612	721	6	fixed	fix	VERB
fumecheng-7612	721	7	nonlinear	nonlinear	NOUN
fumecheng-7612	721	8	supported	support	VERB
fumecheng-7612	721	9	spring	spring	NOUN
fumecheng-7612	721	10	properties	property	NOUN
fumecheng-7612	721	11	,	,	PUNCT
fumecheng-7612	721	12	the	the	DET
fumecheng-7612	721	13	degree	degree	NOUN
fumecheng-7612	721	14	of	of	ADP
fumecheng-7612	721	15	nonlinearity	nonlinearity	NOUN
fumecheng-7612	721	16	reflected	reflect	VERB
fumecheng-7612	721	17	in	in	ADP
fumecheng-7612	721	18	the	the	DET
fumecheng-7612	721	19	vibration	vibration	NOUN
fumecheng-7612	721	20	response	response	NOUN
fumecheng-7612	721	21	varies	vary	VERB
fumecheng-7612	721	22	with	with	ADP
fumecheng-7612	721	23	different	different	ADJ
fumecheng-7612	721	24	base	base	NOUN
fumecheng-7612	721	25	excitation	excitation	NOUN
fumecheng-7612	721	26	amplitudes	amplitude	NOUN
fumecheng-7612	721	27	.	.	PUNCT
fumecheng-7612	722	1	for	for	ADP
fumecheng-7612	722	2	vibration	vibration	NOUN
fumecheng-7612	722	3	under	under	ADP
fumecheng-7612	722	4	harmonic	harmonic	ADJ
fumecheng-7612	722	5	excitation	excitation	NOUN
fumecheng-7612	722	6	,	,	PUNCT
fumecheng-7612	722	7	the	the	DET
fumecheng-7612	722	8	time	time	NOUN
fumecheng-7612	722	9	staying	stay	VERB
fumecheng-7612	722	10	at	at	ADP
fumecheng-7612	722	11	a	a	DET
fumecheng-7612	722	12	certain	certain	ADJ
fumecheng-7612	722	13	range	range	NOUN
fumecheng-7612	722	14	of	of	ADP
fumecheng-7612	722	15	boundary	boundary	ADJ
fumecheng-7612	722	16	stiffness	stiffness	NOUN
fumecheng-7612	722	17	can	can	AUX
fumecheng-7612	722	18	be	be	AUX
fumecheng-7612	722	19	controlled	control	VERB
fumecheng-7612	722	20	by	by	ADP
fumecheng-7612	722	21	changing	change	VERB
fumecheng-7612	722	22	the	the	DET
fumecheng-7612	722	23	base	base	ADJ
fumecheng-7612	722	24	excitation	excitation	NOUN
fumecheng-7612	722	25	amplitude	amplitude	NOUN
fumecheng-7612	722	26	.	.	PUNCT
fumecheng-7612	723	1	acknowledgement	acknowledgement	NOUN
fumecheng-7612	723	2	:	:	PUNCT
fumecheng-7612	723	3	the	the	DET
fumecheng-7612	723	4	study	study	NOUN
fumecheng-7612	723	5	was	be	AUX
fumecheng-7612	723	6	funded	fund	VERB
fumecheng-7612	723	7	by	by	ADP
fumecheng-7612	723	8	national	national	ADJ
fumecheng-7612	723	9	natural	natural	PROPN
fumecheng-7612	723	10	science	science	PROPN
fumecheng-7612	723	11	foundation	foundation	PROPN
fumecheng-7612	723	12	of	of	ADP
fumecheng-7612	723	13	china	china	PROPN
fumecheng-7612	723	14	(	(	PUNCT
fumecheng-7612	723	15	no	no	INTJ
fumecheng-7612	723	16	.	.	NOUN
fumecheng-7612	724	1	51775097	51775097	NUM
fumecheng-7612	724	2	)	)	PUNCT
fumecheng-7612	724	3	.	.	PUNCT
fumecheng-7612	725	1	references	reference	NOUN
fumecheng-7612	725	2	1	1	NUM
fumecheng-7612	725	3	.	.	PUNCT
fumecheng-7612	726	1	shabani	shabani	PROPN
fumecheng-7612	726	2	,	,	PUNCT
fumecheng-7612	726	3	s.	s.	PROPN
fumecheng-7612	726	4	,	,	PUNCT
fumecheng-7612	726	5	cunedioglu	cunedioglu	PROPN
fumecheng-7612	726	6	,	,	PUNCT
fumecheng-7612	726	7	y.	y.	NOUN
fumecheng-7612	726	8	,	,	PUNCT
fumecheng-7612	726	9	2020	2020	NUM
fumecheng-7612	726	10	,	,	PUNCT
fumecheng-7612	726	11	free	free	ADJ
fumecheng-7612	726	12	vibration	vibration	NOUN
fumecheng-7612	726	13	analysis	analysis	NOUN
fumecheng-7612	726	14	of	of	ADP
fumecheng-7612	726	15	functionally	functionally	ADV
fumecheng-7612	726	16	graded	grade	VERB
fumecheng-7612	726	17	beams	beam	NOUN
fumecheng-7612	726	18	with	with	ADP
fumecheng-7612	726	19	cracks	crack	NOUN
fumecheng-7612	726	20	,	,	PUNCT
fumecheng-7612	726	21	journal	journal	NOUN
fumecheng-7612	726	22	of	of	ADP
fumecheng-7612	726	23	applied	applied	ADJ
fumecheng-7612	726	24	and	and	CCONJ
fumecheng-7612	726	25	computational	computational	ADJ
fumecheng-7612	726	26	mechanics	mechanic	NOUN
fumecheng-7612	726	27	,	,	PUNCT
fumecheng-7612	726	28	6(4	6(4	NOUN
fumecheng-7612	726	29	)	)	PUNCT
fumecheng-7612	726	30	,	,	PUNCT
fumecheng-7612	726	31	pp	pp	ADP
fumecheng-7612	726	32	.	.	PUNCT
fumecheng-7612	727	1	908	908	NUM
fumecheng-7612	727	2	-	-	SYM
fumecheng-7612	727	3	919	919	NUM
fumecheng-7612	727	4	.	.	NOUN
fumecheng-7612	728	1	2	2	X
fumecheng-7612	728	2	.	.	X
fumecheng-7612	728	3	esmaeili	esmaeili	NOUN
fumecheng-7612	728	4	,	,	PUNCT
fumecheng-7612	728	5	m.	m.	NOUN
fumecheng-7612	728	6	,	,	PUNCT
fumecheng-7612	728	7	tadi	tadi	NOUN
fumecheng-7612	728	8	,	,	PUNCT
fumecheng-7612	728	9	b.y	b.y	PROPN
fumecheng-7612	728	10	.	.	PROPN
fumecheng-7612	728	11	,	,	PUNCT
fumecheng-7612	728	12	2019	2019	NUM
fumecheng-7612	728	13	,	,	PUNCT
fumecheng-7612	728	14	vibration	vibration	NOUN
fumecheng-7612	728	15	and	and	CCONJ
fumecheng-7612	728	16	buckling	buckle	VERB
fumecheng-7612	728	17	analysis	analysis	NOUN
fumecheng-7612	728	18	of	of	ADP
fumecheng-7612	728	19	functionally	functionally	ADV
fumecheng-7612	728	20	graded	grade	VERB
fumecheng-7612	728	21	flexoelectric	flexoelectric	ADJ
fumecheng-7612	728	22	smart	smart	ADJ
fumecheng-7612	728	23	beam	beam	NOUN
fumecheng-7612	728	24	,	,	PUNCT
fumecheng-7612	728	25	journal	journal	NOUN
fumecheng-7612	728	26	of	of	ADP
fumecheng-7612	728	27	applied	applied	ADJ
fumecheng-7612	728	28	and	and	CCONJ
fumecheng-7612	728	29	computational	computational	ADJ
fumecheng-7612	728	30	mechanics	mechanic	NOUN
fumecheng-7612	728	31	,	,	PUNCT
fumecheng-7612	728	32	5(5	5(5	NUM
fumecheng-7612	728	33	)	)	PUNCT
fumecheng-7612	728	34	,	,	PUNCT
fumecheng-7612	728	35	pp	pp	ADJ
fumecheng-7612	728	36	.	.	PUNCT
fumecheng-7612	729	1	900	900	NUM
fumecheng-7612	729	2	-	-	SYM
fumecheng-7612	729	3	917	917	NUM
fumecheng-7612	729	4	.	.	PUNCT
fumecheng-7612	730	1	3	3	X
fumecheng-7612	730	2	.	.	X
fumecheng-7612	730	3	akbaş	akbaş	PROPN
fumecheng-7612	730	4	,	,	PUNCT
fumecheng-7612	730	5	ş.d	ş.d	PROPN
fumecheng-7612	730	6	.	.	PROPN
fumecheng-7612	730	7	,	,	PUNCT
fumecheng-7612	730	8	2019	2019	NUM
fumecheng-7612	730	9	,	,	PUNCT
fumecheng-7612	730	10	hygro	hygro	NOUN
fumecheng-7612	730	11	-	-	PUNCT
fumecheng-7612	730	12	thermal	thermal	ADJ
fumecheng-7612	730	13	nonlinear	nonlinear	ADJ
fumecheng-7612	730	14	analysis	analysis	NOUN
fumecheng-7612	730	15	of	of	ADP
fumecheng-7612	730	16	a	a	DET
fumecheng-7612	730	17	functionally	functionally	ADV
fumecheng-7612	730	18	graded	grade	VERB
fumecheng-7612	730	19	beam	beam	NOUN
fumecheng-7612	730	20	,	,	PUNCT
fumecheng-7612	730	21	journal	journal	NOUN
fumecheng-7612	730	22	of	of	ADP
fumecheng-7612	730	23	applied	applied	ADJ
fumecheng-7612	730	24	and	and	CCONJ
fumecheng-7612	730	25	computational	computational	ADJ
fumecheng-7612	730	26	mechanics	mechanic	NOUN
fumecheng-7612	730	27	,	,	PUNCT
fumecheng-7612	730	28	5(2	5(2	NUM
fumecheng-7612	730	29	)	)	PUNCT
fumecheng-7612	730	30	,	,	PUNCT
fumecheng-7612	731	1	pp	pp	ADP
fumecheng-7612	731	2	.	.	PUNCT
fumecheng-7612	732	1	477	477	NUM
fumecheng-7612	732	2	-	-	SYM
fumecheng-7612	732	3	485	485	NUM
fumecheng-7612	732	4	.	.	PUNCT
fumecheng-7612	733	1	4	4	NUM
fumecheng-7612	733	2	.	.	X
fumecheng-7612	733	3	chen	chen	PROPN
fumecheng-7612	733	4	,	,	PUNCT
fumecheng-7612	733	5	w.r	w.r	PROPN
fumecheng-7612	733	6	.	.	PROPN
fumecheng-7612	733	7	,	,	PUNCT
fumecheng-7612	733	8	chen	chen	PROPN
fumecheng-7612	733	9	,	,	PUNCT
fumecheng-7612	733	10	c.s	c.s	PROPN
fumecheng-7612	733	11	.	.	PROPN
fumecheng-7612	733	12	,	,	PUNCT
fumecheng-7612	733	13	chang	chang	PROPN
fumecheng-7612	733	14	,	,	PUNCT
fumecheng-7612	733	15	h.	h.	PROPN
fumecheng-7612	733	16	,	,	PUNCT
fumecheng-7612	733	17	2020	2020	NUM
fumecheng-7612	733	18	,	,	PUNCT
fumecheng-7612	733	19	thermal	thermal	ADJ
fumecheng-7612	733	20	buckling	buckling	NOUN
fumecheng-7612	733	21	analysis	analysis	NOUN
fumecheng-7612	733	22	of	of	ADP
fumecheng-7612	733	23	functionally	functionally	ADV
fumecheng-7612	733	24	graded	grade	VERB
fumecheng-7612	733	25	euler	euler	NOUN
fumecheng-7612	733	26	-	-	PUNCT
fumecheng-7612	733	27	bernoulli	bernoulli	NOUN
fumecheng-7612	733	28	beams	beam	NOUN
fumecheng-7612	733	29	with	with	ADP
fumecheng-7612	733	30	temperature	temperature	NOUN
fumecheng-7612	733	31	-	-	PUNCT
fumecheng-7612	733	32	dependent	dependent	ADJ
fumecheng-7612	733	33	properties	property	NOUN
fumecheng-7612	733	34	,	,	PUNCT
fumecheng-7612	733	35	journal	journal	NOUN
fumecheng-7612	733	36	of	of	ADP
fumecheng-7612	733	37	applied	applied	ADJ
fumecheng-7612	733	38	and	and	CCONJ
fumecheng-7612	733	39	computational	computational	ADJ
fumecheng-7612	733	40	mechanics	mechanic	NOUN
fumecheng-7612	733	41	,	,	PUNCT
fumecheng-7612	733	42	6(3	6(3	NUM
fumecheng-7612	733	43	)	)	PUNCT
fumecheng-7612	733	44	,	,	PUNCT
fumecheng-7612	733	45	pp	pp	ADP
fumecheng-7612	733	46	.	.	PUNCT
fumecheng-7612	734	1	457	457	NUM
fumecheng-7612	734	2	-	-	SYM
fumecheng-7612	734	3	470	470	NUM
fumecheng-7612	734	4	.	.	PUNCT
fumecheng-7612	735	1	5	5	NUM
fumecheng-7612	735	2	.	.	X
fumecheng-7612	735	3	keshmiri	keshmiri	PROPN
fumecheng-7612	735	4	,	,	PUNCT
fumecheng-7612	735	5	a.	a.	PROPN
fumecheng-7612	735	6	,	,	PUNCT
fumecheng-7612	735	7	wu	wu	PROPN
fumecheng-7612	735	8	,	,	PUNCT
fumecheng-7612	735	9	n.	n.	PROPN
fumecheng-7612	735	10	,	,	PUNCT
fumecheng-7612	735	11	wang	wang	PROPN
fumecheng-7612	735	12	,	,	PUNCT
fumecheng-7612	735	13	q.	q.	PROPN
fumecheng-7612	735	14	,	,	PUNCT
fumecheng-7612	735	15	2018	2018	NUM
fumecheng-7612	735	16	,	,	PUNCT
fumecheng-7612	735	17	free	free	ADJ
fumecheng-7612	735	18	vibration	vibration	NOUN
fumecheng-7612	735	19	analysis	analysis	NOUN
fumecheng-7612	735	20	of	of	ADP
fumecheng-7612	735	21	a	a	DET
fumecheng-7612	735	22	nonlinearly	nonlinearly	ADV
fumecheng-7612	735	23	tapered	taper	VERB
fumecheng-7612	735	24	cone	cone	NOUN
fumecheng-7612	735	25	beam	beam	NOUN
fumecheng-7612	735	26	by	by	ADP
fumecheng-7612	735	27	adomian	adomian	NOUN
fumecheng-7612	735	28	decomposition	decomposition	NOUN
fumecheng-7612	735	29	method	method	NOUN
fumecheng-7612	735	30	,	,	PUNCT
fumecheng-7612	735	31	international	international	ADJ
fumecheng-7612	735	32	journal	journal	NOUN
fumecheng-7612	735	33	of	of	ADP
fumecheng-7612	735	34	structural	structural	ADJ
fumecheng-7612	735	35	stability	stability	NOUN
fumecheng-7612	735	36	and	and	CCONJ
fumecheng-7612	735	37	dynamics	dynamic	NOUN
fumecheng-7612	735	38	,	,	PUNCT
fumecheng-7612	735	39	18(07	18(07	NUM
fumecheng-7612	735	40	)	)	PUNCT
fumecheng-7612	735	41	,	,	PUNCT
fumecheng-7612	735	42	1850101	1850101	NUM
fumecheng-7612	735	43	.	.	PUNCT
fumecheng-7612	736	1	6	6	NUM
fumecheng-7612	736	2	.	.	X
fumecheng-7612	736	3	keshmiri	keshmiri	PROPN
fumecheng-7612	736	4	,	,	PUNCT
fumecheng-7612	736	5	a.	a.	PROPN
fumecheng-7612	736	6	,	,	PUNCT
fumecheng-7612	736	7	wu	wu	PROPN
fumecheng-7612	736	8	,	,	PUNCT
fumecheng-7612	736	9	n.	n.	PROPN
fumecheng-7612	736	10	,	,	PUNCT
fumecheng-7612	736	11	wang	wang	PROPN
fumecheng-7612	736	12	,	,	PUNCT
fumecheng-7612	736	13	q.	q.	PROPN
fumecheng-7612	736	14	,	,	PUNCT
fumecheng-7612	736	15	2018	2018	NUM
fumecheng-7612	736	16	,	,	PUNCT
fumecheng-7612	736	17	vibration	vibration	NOUN
fumecheng-7612	736	18	analysis	analysis	NOUN
fumecheng-7612	736	19	of	of	ADP
fumecheng-7612	736	20	non	non	ADJ
fumecheng-7612	736	21	-	-	ADJ
fumecheng-7612	736	22	uniform	uniform	ADJ
fumecheng-7612	736	23	tapered	tapered	ADJ
fumecheng-7612	736	24	beams	beam	NOUN
fumecheng-7612	736	25	with	with	ADP
fumecheng-7612	736	26	nonlinear	nonlinear	ADJ
fumecheng-7612	736	27	fgm	fgm	PROPN
fumecheng-7612	736	28	properties	property	NOUN
fumecheng-7612	736	29	,	,	PUNCT
fumecheng-7612	736	30	journal	journal	NOUN
fumecheng-7612	736	31	of	of	ADP
fumecheng-7612	736	32	mechanical	mechanical	ADJ
fumecheng-7612	736	33	science	science	NOUN
fumecheng-7612	736	34	and	and	CCONJ
fumecheng-7612	736	35	technology	technology	NOUN
fumecheng-7612	736	36	,	,	PUNCT
fumecheng-7612	736	37	32(11	32(11	NUM
fumecheng-7612	736	38	)	)	PUNCT
fumecheng-7612	736	39	,	,	PUNCT
fumecheng-7612	736	40	pp	pp	ADP
fumecheng-7612	736	41	.	.	PUNCT
fumecheng-7612	737	1	5325	5325	NUM
fumecheng-7612	737	2	-	-	SYM
fumecheng-7612	737	3	5337	5337	NUM
fumecheng-7612	737	4	.	.	PUNCT
fumecheng-7612	738	1	study	study	NOUN
fumecheng-7612	738	2	on	on	ADP
fumecheng-7612	738	3	vibration	vibration	NOUN
fumecheng-7612	738	4	response	response	NOUN
fumecheng-7612	738	5	of	of	ADP
fumecheng-7612	738	6	a	a	DET
fumecheng-7612	738	7	non	non	ADJ
fumecheng-7612	738	8	-	-	ADJ
fumecheng-7612	738	9	uniform	uniform	ADJ
fumecheng-7612	738	10	beam	beam	NOUN
fumecheng-7612	738	11	with	with	ADP
fumecheng-7612	738	12	nonlinear	nonlinear	ADJ
fumecheng-7612	738	13	boundary	boundary	ADJ
fumecheng-7612	738	14	condition	condition	NOUN
fumecheng-7612	738	15	803	803	NUM
fumecheng-7612	738	16	7	7	NUM
fumecheng-7612	738	17	.	.	PUNCT
fumecheng-7612	739	1	keshmiri	keshmiri	PROPN
fumecheng-7612	739	2	,	,	PUNCT
fumecheng-7612	739	3	a.	a.	PROPN
fumecheng-7612	739	4	,	,	PUNCT
fumecheng-7612	739	5	wu	wu	PROPN
fumecheng-7612	739	6	,	,	PUNCT
fumecheng-7612	739	7	n.	n.	PROPN
fumecheng-7612	739	8	,	,	PUNCT
fumecheng-7612	739	9	wang	wang	PROPN
fumecheng-7612	739	10	,	,	PUNCT
fumecheng-7612	739	11	q.	q.	PROPN
fumecheng-7612	739	12	,	,	PUNCT
fumecheng-7612	739	13	2018	2018	NUM
fumecheng-7612	739	14	,	,	PUNCT
fumecheng-7612	739	15	a	a	DET
fumecheng-7612	739	16	new	new	ADJ
fumecheng-7612	739	17	nonlinearly	nonlinearly	ADV
fumecheng-7612	739	18	tapered	taper	VERB
fumecheng-7612	739	19	fgm	fgm	PROPN
fumecheng-7612	739	20	piezoelectric	piezoelectric	NOUN
fumecheng-7612	739	21	energy	energy	NOUN
fumecheng-7612	739	22	harvester	harvester	NOUN
fumecheng-7612	739	23	,	,	PUNCT
fumecheng-7612	739	24	engineering	engineering	NOUN
fumecheng-7612	739	25	structures	structure	NOUN
fumecheng-7612	739	26	,	,	PUNCT
fumecheng-7612	739	27	173	173	NUM
fumecheng-7612	739	28	,	,	PUNCT
fumecheng-7612	739	29	pp	pp	ADJ
fumecheng-7612	739	30	.	.	PUNCT
fumecheng-7612	740	1	52	52	NUM
fumecheng-7612	740	2	-	-	SYM
fumecheng-7612	740	3	60	60	NUM
fumecheng-7612	740	4	.	.	NOUN
fumecheng-7612	741	1	8	8	NUM
fumecheng-7612	741	2	.	.	X
fumecheng-7612	742	1	esmailzadeh	esmailzadeh	PROPN
fumecheng-7612	742	2	,	,	PUNCT
fumecheng-7612	742	3	e.	e.	PROPN
fumecheng-7612	742	4	,	,	PUNCT
fumecheng-7612	742	5	ohadi	ohadi	PROPN
fumecheng-7612	742	6	,	,	PUNCT
fumecheng-7612	742	7	a.r	a.r	PROPN
fumecheng-7612	742	8	.	.	PROPN
fumecheng-7612	742	9	,	,	PUNCT
fumecheng-7612	742	10	2000	2000	NUM
fumecheng-7612	742	11	,	,	PUNCT
fumecheng-7612	742	12	vibration	vibration	NOUN
fumecheng-7612	742	13	and	and	CCONJ
fumecheng-7612	742	14	stability	stability	NOUN
fumecheng-7612	742	15	analysis	analysis	NOUN
fumecheng-7612	742	16	of	of	ADP
fumecheng-7612	742	17	non	non	ADJ
fumecheng-7612	742	18	-	-	ADJ
fumecheng-7612	742	19	uniform	uniform	ADJ
fumecheng-7612	742	20	timoshenko	timoshenko	ADJ
fumecheng-7612	742	21	beams	beam	NOUN
fumecheng-7612	742	22	under	under	ADP
fumecheng-7612	742	23	axial	axial	ADJ
fumecheng-7612	742	24	and	and	CCONJ
fumecheng-7612	742	25	distributed	distribute	VERB
fumecheng-7612	742	26	tangential	tangential	ADJ
fumecheng-7612	742	27	loads	load	NOUN
fumecheng-7612	742	28	,	,	PUNCT
fumecheng-7612	742	29	journal	journal	NOUN
fumecheng-7612	742	30	of	of	ADP
fumecheng-7612	742	31	sound	sound	NOUN
fumecheng-7612	742	32	and	and	CCONJ
fumecheng-7612	742	33	vibration	vibration	NOUN
fumecheng-7612	742	34	,	,	PUNCT
fumecheng-7612	742	35	236(3	236(3	NUM
fumecheng-7612	742	36	)	)	PUNCT
fumecheng-7612	742	37	,	,	PUNCT
fumecheng-7612	742	38	pp	pp	PROPN
fumecheng-7612	742	39	.	.	PUNCT
fumecheng-7612	743	1	443	443	NUM
fumecheng-7612	743	2	-	-	NUM
fumecheng-7612	743	3	456	456	NUM
fumecheng-7612	743	4	.	.	PUNCT
fumecheng-7612	744	1	9	9	NUM
fumecheng-7612	744	2	.	.	X
fumecheng-7612	744	3	keshmiri	keshmiri	PROPN
fumecheng-7612	744	4	,	,	PUNCT
fumecheng-7612	744	5	a.	a.	PROPN
fumecheng-7612	744	6	,	,	PUNCT
fumecheng-7612	744	7	wu	wu	PROPN
fumecheng-7612	744	8	,	,	PUNCT
fumecheng-7612	744	9	n.	n.	NOUN
fumecheng-7612	744	10	,	,	PUNCT
fumecheng-7612	744	11	2019	2019	NUM
fumecheng-7612	744	12	,	,	PUNCT
fumecheng-7612	744	13	structural	structural	ADJ
fumecheng-7612	744	14	stability	stability	NOUN
fumecheng-7612	744	15	enhancement	enhancement	NOUN
fumecheng-7612	744	16	by	by	ADP
fumecheng-7612	744	17	nonlinear	nonlinear	ADJ
fumecheng-7612	744	18	geometry	geometry	NOUN
fumecheng-7612	744	19	design	design	NOUN
fumecheng-7612	744	20	and	and	CCONJ
fumecheng-7612	744	21	piezoelectric	piezoelectric	ADJ
fumecheng-7612	744	22	layers	layer	NOUN
fumecheng-7612	744	23	,	,	PUNCT
fumecheng-7612	744	24	journal	journal	NOUN
fumecheng-7612	744	25	of	of	ADP
fumecheng-7612	744	26	vibration	vibration	NOUN
fumecheng-7612	744	27	and	and	CCONJ
fumecheng-7612	744	28	control	control	NOUN
fumecheng-7612	744	29	,	,	PUNCT
fumecheng-7612	744	30	25(3	25(3	NUM
fumecheng-7612	744	31	)	)	PUNCT
fumecheng-7612	744	32	,	,	PUNCT
fumecheng-7612	744	33	pp	pp	ADJ
fumecheng-7612	744	34	.	.	PUNCT
fumecheng-7612	745	1	695	695	NUM
fumecheng-7612	745	2	-	-	SYM
fumecheng-7612	745	3	710	710	NUM
fumecheng-7612	745	4	.	.	PUNCT
fumecheng-7612	746	1	10	10	NUM
fumecheng-7612	746	2	.	.	X
fumecheng-7612	746	3	sedighi	sedighi	PROPN
fumecheng-7612	746	4	,	,	PUNCT
fumecheng-7612	746	5	h.m	h.m	PROPN
fumecheng-7612	746	6	.	.	PROPN
fumecheng-7612	746	7	,	,	PUNCT
fumecheng-7612	746	8	shirazi	shirazi	PROPN
fumecheng-7612	746	9	,	,	PUNCT
fumecheng-7612	746	10	k.h	k.h	PROPN
fumecheng-7612	746	11	.	.	PROPN
fumecheng-7612	746	12	,	,	PUNCT
fumecheng-7612	746	13	2012	2012	NUM
fumecheng-7612	746	14	,	,	PUNCT
fumecheng-7612	746	15	a	a	DET
fumecheng-7612	746	16	new	new	ADJ
fumecheng-7612	746	17	approach	approach	NOUN
fumecheng-7612	746	18	to	to	ADP
fumecheng-7612	746	19	analytical	analytical	ADJ
fumecheng-7612	746	20	solution	solution	NOUN
fumecheng-7612	746	21	of	of	ADP
fumecheng-7612	746	22	cantilever	cantilever	NOUN
fumecheng-7612	746	23	beam	beam	NOUN
fumecheng-7612	746	24	vibration	vibration	NOUN
fumecheng-7612	746	25	with	with	ADP
fumecheng-7612	746	26	nonlinear	nonlinear	ADJ
fumecheng-7612	746	27	boundary	boundary	ADJ
fumecheng-7612	746	28	condition	condition	NOUN
fumecheng-7612	746	29	,	,	PUNCT
fumecheng-7612	746	30	journal	journal	NOUN
fumecheng-7612	746	31	of	of	ADP
fumecheng-7612	746	32	computational	computational	ADJ
fumecheng-7612	746	33	and	and	CCONJ
fumecheng-7612	746	34	nonlinear	nonlinear	ADJ
fumecheng-7612	746	35	dynamics	dynamic	NOUN
fumecheng-7612	746	36	,	,	PUNCT
fumecheng-7612	746	37	7(3	7(3	NUM
fumecheng-7612	746	38	)	)	PUNCT
fumecheng-7612	746	39	,	,	PUNCT
fumecheng-7612	746	40	034502	034502	NUM
fumecheng-7612	746	41	.	.	PUNCT
fumecheng-7612	747	1	11	11	NUM
fumecheng-7612	747	2	.	.	X
fumecheng-7612	748	1	wang	wang	PROPN
fumecheng-7612	748	2	,	,	PUNCT
fumecheng-7612	748	3	y.r	y.r	PROPN
fumecheng-7612	748	4	.	.	PROPN
fumecheng-7612	748	5	,	,	PUNCT
fumecheng-7612	748	6	fang	fang	PROPN
fumecheng-7612	748	7	,	,	PUNCT
fumecheng-7612	748	8	z.w	z.w	PROPN
fumecheng-7612	748	9	.	.	PROPN
fumecheng-7612	748	10	,	,	PUNCT
fumecheng-7612	748	11	2015	2015	NUM
fumecheng-7612	748	12	,	,	PUNCT
fumecheng-7612	748	13	vibrations	vibration	NOUN
fumecheng-7612	748	14	in	in	ADP
fumecheng-7612	748	15	an	an	DET
fumecheng-7612	748	16	elastic	elastic	ADJ
fumecheng-7612	748	17	beam	beam	NOUN
fumecheng-7612	748	18	with	with	ADP
fumecheng-7612	748	19	nonlinear	nonlinear	ADJ
fumecheng-7612	748	20	supports	support	NOUN
fumecheng-7612	748	21	at	at	ADP
fumecheng-7612	748	22	both	both	DET
fumecheng-7612	748	23	ends	end	NOUN
fumecheng-7612	748	24	,	,	PUNCT
fumecheng-7612	748	25	journal	journal	NOUN
fumecheng-7612	748	26	of	of	ADP
fumecheng-7612	748	27	applied	apply	VERB
fumecheng-7612	748	28	mechanics	mechanic	NOUN
fumecheng-7612	748	29	and	and	CCONJ
fumecheng-7612	748	30	technical	technical	ADJ
fumecheng-7612	748	31	physics	physic	NOUN
fumecheng-7612	748	32	,	,	PUNCT
fumecheng-7612	748	33	56(2	56(2	ADJ
fumecheng-7612	748	34	)	)	PUNCT
fumecheng-7612	748	35	,	,	PUNCT
fumecheng-7612	748	36	pp	pp	ADP
fumecheng-7612	748	37	.	.	PUNCT
fumecheng-7612	749	1	337	337	NUM
fumecheng-7612	749	2	-	-	SYM
fumecheng-7612	749	3	346	346	NUM
fumecheng-7612	749	4	.	.	PUNCT
fumecheng-7612	750	1	12	12	NUM
fumecheng-7612	750	2	.	.	PUNCT
fumecheng-7612	751	1	jankowski	jankowski	PROPN
fumecheng-7612	751	2	,	,	PUNCT
fumecheng-7612	751	3	r.	r.	PROPN
fumecheng-7612	751	4	,	,	PUNCT
fumecheng-7612	751	5	2003	2003	NUM
fumecheng-7612	751	6	,	,	PUNCT
fumecheng-7612	751	7	nonlinear	nonlinear	ADJ
fumecheng-7612	751	8	rate	rate	NOUN
fumecheng-7612	751	9	dependent	dependent	ADJ
fumecheng-7612	751	10	model	model	NOUN
fumecheng-7612	751	11	of	of	ADP
fumecheng-7612	751	12	high	high	ADJ
fumecheng-7612	751	13	damping	damp	VERB
fumecheng-7612	751	14	rubber	rubber	NOUN
fumecheng-7612	751	15	bearing	bearing	NOUN
fumecheng-7612	751	16	,	,	PUNCT
fumecheng-7612	751	17	bulletin	bulletin	NOUN
fumecheng-7612	751	18	of	of	ADP
fumecheng-7612	751	19	earthquake	earthquake	NOUN
fumecheng-7612	751	20	engineering	engineering	NOUN
fumecheng-7612	751	21	,	,	PUNCT
fumecheng-7612	751	22	1(3	1(3	NUM
fumecheng-7612	751	23	)	)	PUNCT
fumecheng-7612	751	24	,	,	PUNCT
fumecheng-7612	751	25	pp	pp	PROPN
fumecheng-7612	751	26	.	.	PUNCT
fumecheng-7612	752	1	397	397	NUM
fumecheng-7612	752	2	-	-	SYM
fumecheng-7612	752	3	403	403	NUM
fumecheng-7612	752	4	.	.	PUNCT
fumecheng-7612	753	1	13	13	NUM
fumecheng-7612	753	2	.	.	X
fumecheng-7612	753	3	ryan	ryan	PROPN
fumecheng-7612	753	4	,	,	PUNCT
fumecheng-7612	753	5	keri	keri	PROPN
fumecheng-7612	753	6	,	,	PUNCT
fumecheng-7612	753	7	l.	l.	PROPN
fumecheng-7612	753	8	,	,	PUNCT
fumecheng-7612	753	9	kelly	kelly	PROPN
fumecheng-7612	753	10	,	,	PUNCT
fumecheng-7612	753	11	james	james	PROPN
fumecheng-7612	753	12	,	,	PUNCT
fumecheng-7612	753	13	m.	m.	NOUN
fumecheng-7612	753	14	,	,	PUNCT
fumecheng-7612	753	15	chopra	chopra	PROPN
fumecheng-7612	753	16	,	,	PUNCT
fumecheng-7612	753	17	anil	anil	PROPN
fumecheng-7612	753	18	,	,	PUNCT
fumecheng-7612	753	19	k.	k.	PROPN
fumecheng-7612	753	20	,	,	PUNCT
fumecheng-7612	753	21	2005	2005	NUM
fumecheng-7612	753	22	,	,	PUNCT
fumecheng-7612	753	23	nonlinear	nonlinear	ADJ
fumecheng-7612	753	24	model	model	NOUN
fumecheng-7612	753	25	for	for	ADP
fumecheng-7612	753	26	lead	lead	NOUN
fumecheng-7612	753	27	–	–	PUNCT
fumecheng-7612	753	28	rubber	rubber	NOUN
fumecheng-7612	753	29	bearings	bearing	NOUN
fumecheng-7612	753	30	including	include	VERB
fumecheng-7612	753	31	axial	axial	ADJ
fumecheng-7612	753	32	-	-	PUNCT
fumecheng-7612	753	33	load	load	NOUN
fumecheng-7612	753	34	effects	effect	NOUN
fumecheng-7612	753	35	,	,	PUNCT
fumecheng-7612	753	36	journal	journal	NOUN
fumecheng-7612	753	37	of	of	ADP
fumecheng-7612	753	38	engineering	engineering	NOUN
fumecheng-7612	753	39	mechanics	mechanic	NOUN
fumecheng-7612	753	40	,	,	PUNCT
fumecheng-7612	753	41	131(12	131(12	NUM
fumecheng-7612	753	42	)	)	PUNCT
fumecheng-7612	753	43	,	,	PUNCT
fumecheng-7612	753	44	pp	pp	ADP
fumecheng-7612	753	45	.	.	PUNCT
fumecheng-7612	754	1	1270	1270	NUM
fumecheng-7612	754	2	-	-	SYM
fumecheng-7612	754	3	1278	1278	NUM
fumecheng-7612	754	4	.	.	PUNCT
fumecheng-7612	755	1	14	14	NUM
fumecheng-7612	755	2	.	.	PUNCT
fumecheng-7612	756	1	rysaeva	rysaeva	PROPN
fumecheng-7612	756	2	,	,	PUNCT
fumecheng-7612	756	3	l.k	l.k	PROPN
fumecheng-7612	756	4	.	.	PROPN
fumecheng-7612	756	5	,	,	PUNCT
fumecheng-7612	756	6	korznikova	korznikova	PROPN
fumecheng-7612	756	7	,	,	PUNCT
fumecheng-7612	756	8	e.a	e.a	PROPN
fumecheng-7612	756	9	.	.	PROPN
fumecheng-7612	756	10	,	,	PUNCT
fumecheng-7612	756	11	murzaev	murzaev	PROPN
fumecheng-7612	756	12	,	,	PUNCT
fumecheng-7612	756	13	r.t	r.t	PROPN
fumecheng-7612	756	14	.	.	PROPN
fumecheng-7612	756	15	,	,	PUNCT
fumecheng-7612	756	16	abdullina	abdullina	PROPN
fumecheng-7612	756	17	,	,	PUNCT
fumecheng-7612	756	18	d.u	d.u	PROPN
fumecheng-7612	756	19	.	.	PROPN
fumecheng-7612	756	20	,	,	PUNCT
fumecheng-7612	756	21	kudreyko	kudreyko	PROPN
fumecheng-7612	756	22	,	,	PUNCT
fumecheng-7612	756	23	a.a	a.a	PROPN
fumecheng-7612	756	24	.	.	PROPN
fumecheng-7612	756	25	,	,	PUNCT
fumecheng-7612	756	26	baimova	baimova	PROPN
fumecheng-7612	756	27	,	,	PUNCT
fumecheng-7612	756	28	j.a	j.a	PROPN
fumecheng-7612	756	29	.	.	PROPN
fumecheng-7612	756	30	,	,	PUNCT
fumecheng-7612	756	31	lisovenko	lisovenko	PROPN
fumecheng-7612	756	32	,	,	PUNCT
fumecheng-7612	756	33	d.s	d.s	PROPN
fumecheng-7612	756	34	.	.	PROPN
fumecheng-7612	756	35	,	,	PUNCT
fumecheng-7612	756	36	dmitriev	dmitriev	PROPN
fumecheng-7612	756	37	,	,	PUNCT
fumecheng-7612	756	38	s.v	s.v	PROPN
fumecheng-7612	756	39	.	.	PROPN
fumecheng-7612	756	40	,	,	PUNCT
fumecheng-7612	756	41	2020	2020	NUM
fumecheng-7612	756	42	,	,	PUNCT
fumecheng-7612	756	43	elastic	elastic	ADJ
fumecheng-7612	756	44	damper	damper	NOUN
fumecheng-7612	756	45	based	base	VERB
fumecheng-7612	756	46	on	on	ADP
fumecheng-7612	756	47	the	the	DET
fumecheng-7612	756	48	carbon	carbon	NOUN
fumecheng-7612	756	49	nanotube	nanotube	NOUN
fumecheng-7612	756	50	bundle	bundle	NOUN
fumecheng-7612	756	51	,	,	PUNCT
fumecheng-7612	756	52	facta	facta	PROPN
fumecheng-7612	756	53	universitatis	universitatis	PROPN
fumecheng-7612	756	54	-	-	PUNCT
fumecheng-7612	756	55	series	series	NOUN
fumecheng-7612	756	56	mechanical	mechanical	ADJ
fumecheng-7612	756	57	engineering	engineering	NOUN
fumecheng-7612	756	58	,	,	PUNCT
fumecheng-7612	756	59	18(1	18(1	NUM
fumecheng-7612	756	60	)	)	PUNCT
fumecheng-7612	756	61	,	,	PUNCT
fumecheng-7612	756	62	pp	pp	ADJ
fumecheng-7612	756	63	.	.	PUNCT
fumecheng-7612	757	1	1	1	NUM
fumecheng-7612	757	2	-	-	SYM
fumecheng-7612	757	3	12	12	NUM
fumecheng-7612	757	4	.	.	PUNCT
fumecheng-7612	758	1	15	15	NUM
fumecheng-7612	758	2	.	.	X
fumecheng-7612	758	3	trifunac	trifunac	NOUN
fumecheng-7612	758	4	,	,	PUNCT
fumecheng-7612	758	5	m.d	m.d	PROPN
fumecheng-7612	758	6	.	.	PROPN
fumecheng-7612	758	7	,	,	PUNCT
fumecheng-7612	758	8	todorovska	todorovska	PROPN
fumecheng-7612	758	9	,	,	PUNCT
fumecheng-7612	758	10	m.i	m.i	PROPN
fumecheng-7612	758	11	.	.	PROPN
fumecheng-7612	758	12	,	,	PUNCT
fumecheng-7612	758	13	1998	1998	NUM
fumecheng-7612	758	14	,	,	PUNCT
fumecheng-7612	758	15	nonlinear	nonlinear	ADJ
fumecheng-7612	758	16	soil	soil	NOUN
fumecheng-7612	758	17	response	response	NOUN
fumecheng-7612	758	18	as	as	ADP
fumecheng-7612	758	19	a	a	DET
fumecheng-7612	758	20	natural	natural	ADJ
fumecheng-7612	758	21	passive	passive	ADJ
fumecheng-7612	758	22	isolation	isolation	NOUN
fumecheng-7612	758	23	mechanism	mechanism	NOUN
fumecheng-7612	758	24	—	—	PUNCT
fumecheng-7612	758	25	the	the	DET
fumecheng-7612	758	26	1994	1994	NUM
fumecheng-7612	758	27	northridge	northridge	PROPN
fumecheng-7612	758	28	,	,	PUNCT
fumecheng-7612	758	29	california	california	PROPN
fumecheng-7612	758	30	,	,	PUNCT
fumecheng-7612	758	31	earthquake	earthquake	NOUN
fumecheng-7612	758	32	,	,	PUNCT
fumecheng-7612	758	33	soil	soil	NOUN
fumecheng-7612	758	34	dynamics	dynamic	NOUN
fumecheng-7612	758	35	&	&	CCONJ
fumecheng-7612	758	36	earthquake	earthquake	PROPN
fumecheng-7612	758	37	engineering	engineering	PROPN
fumecheng-7612	758	38	,	,	PUNCT
fumecheng-7612	758	39	17(1	17(1	NUM
fumecheng-7612	758	40	)	)	PUNCT
fumecheng-7612	758	41	,	,	PUNCT
fumecheng-7612	759	1	pp	pp	PROPN
fumecheng-7612	759	2	.	.	PUNCT
fumecheng-7612	760	1	41	41	NUM
fumecheng-7612	760	2	-	-	SYM
fumecheng-7612	760	3	51	51	NUM
fumecheng-7612	760	4	.	.	PUNCT
fumecheng-7612	761	1	16	16	NUM
fumecheng-7612	761	2	.	.	PUNCT
fumecheng-7612	761	3	hartzell	hartzell	PROPN
fumecheng-7612	761	4	,	,	PUNCT
fumecheng-7612	761	5	s.	s.	PROPN
fumecheng-7612	761	6	,	,	PUNCT
fumecheng-7612	761	7	bonilla	bonilla	PROPN
fumecheng-7612	761	8	,	,	PUNCT
fumecheng-7612	761	9	l.f	l.f	PROPN
fumecheng-7612	761	10	.	.	PROPN
fumecheng-7612	761	11	,	,	PUNCT
fumecheng-7612	761	12	williams	williams	PROPN
fumecheng-7612	761	13	,	,	PUNCT
fumecheng-7612	761	14	r.a	r.a	PROPN
fumecheng-7612	761	15	.	.	PROPN
fumecheng-7612	761	16	,	,	PUNCT
fumecheng-7612	761	17	2004	2004	NUM
fumecheng-7612	761	18	,	,	PUNCT
fumecheng-7612	761	19	prediction	prediction	NOUN
fumecheng-7612	761	20	of	of	ADP
fumecheng-7612	761	21	nonlinear	nonlinear	ADJ
fumecheng-7612	761	22	soil	soil	NOUN
fumecheng-7612	761	23	effects	effect	NOUN
fumecheng-7612	761	24	,	,	PUNCT
fumecheng-7612	761	25	bulletin	bulletin	NOUN
fumecheng-7612	761	26	of	of	ADP
fumecheng-7612	761	27	the	the	DET
fumecheng-7612	761	28	seismological	seismological	ADJ
fumecheng-7612	761	29	society	society	NOUN
fumecheng-7612	761	30	of	of	ADP
fumecheng-7612	761	31	america	america	PROPN
fumecheng-7612	761	32	,	,	PUNCT
fumecheng-7612	761	33	94(5	94(5	NOUN
fumecheng-7612	761	34	)	)	PUNCT
fumecheng-7612	761	35	,	,	PUNCT
fumecheng-7612	761	36	pp	pp	PROPN
fumecheng-7612	761	37	.	.	PUNCT
fumecheng-7612	762	1	1609	1609	NUM
fumecheng-7612	762	2	-	-	SYM
fumecheng-7612	762	3	1629	1629	NUM
fumecheng-7612	762	4	.	.	PUNCT
fumecheng-7612	763	1	17	17	NUM
fumecheng-7612	763	2	.	.	PUNCT
fumecheng-7612	764	1	ma	ma	PROPN
fumecheng-7612	764	2	,	,	PUNCT
fumecheng-7612	764	3	t.f	t.f	PROPN
fumecheng-7612	764	4	.	.	PROPN
fumecheng-7612	764	5	,	,	PUNCT
fumecheng-7612	764	6	da	da	PROPN
fumecheng-7612	764	7	,	,	PUNCT
fumecheng-7612	764	8	s.j	s.j	PROPN
fumecheng-7612	764	9	.	.	PROPN
fumecheng-7612	764	10	,	,	PUNCT
fumecheng-7612	764	11	2004	2004	NUM
fumecheng-7612	764	12	,	,	PUNCT
fumecheng-7612	764	13	iterative	iterative	NOUN
fumecheng-7612	764	14	solutions	solution	NOUN
fumecheng-7612	764	15	for	for	ADP
fumecheng-7612	764	16	a	a	DET
fumecheng-7612	764	17	beam	beam	NOUN
fumecheng-7612	764	18	equation	equation	NOUN
fumecheng-7612	764	19	with	with	ADP
fumecheng-7612	764	20	nonlinear	nonlinear	ADJ
fumecheng-7612	764	21	boundary	boundary	ADJ
fumecheng-7612	764	22	conditions	condition	NOUN
fumecheng-7612	764	23	of	of	ADP
fumecheng-7612	764	24	third	third	ADJ
fumecheng-7612	764	25	order	order	NOUN
fumecheng-7612	764	26	,	,	PUNCT
fumecheng-7612	764	27	applied	apply	VERB
fumecheng-7612	764	28	mathematics	mathematic	NOUN
fumecheng-7612	764	29	and	and	CCONJ
fumecheng-7612	764	30	computation	computation	NOUN
fumecheng-7612	764	31	,	,	PUNCT
fumecheng-7612	764	32	159(1	159(1	NUM
fumecheng-7612	764	33	)	)	PUNCT
fumecheng-7612	764	34	,	,	PUNCT
fumecheng-7612	764	35	pp	pp	ADP
fumecheng-7612	764	36	.	.	PUNCT
fumecheng-7612	765	1	11	11	NUM
fumecheng-7612	765	2	-	-	SYM
fumecheng-7612	765	3	18	18	NUM
fumecheng-7612	765	4	.	.	NOUN
fumecheng-7612	766	1	18	18	NUM
fumecheng-7612	766	2	.	.	PUNCT
fumecheng-7612	767	1	sun	sun	PROPN
fumecheng-7612	767	2	,	,	PUNCT
fumecheng-7612	767	3	j.p	j.p	PROPN
fumecheng-7612	767	4	.	.	PROPN
fumecheng-7612	767	5	,	,	PUNCT
fumecheng-7612	767	6	wang	wang	PROPN
fumecheng-7612	767	7	,	,	PUNCT
fumecheng-7612	767	8	x.q	x.q	PROPN
fumecheng-7612	767	9	.	.	PROPN
fumecheng-7612	767	10	,	,	PUNCT
fumecheng-7612	767	11	2011	2011	NUM
fumecheng-7612	767	12	,	,	PUNCT
fumecheng-7612	767	13	monotone	monotone	ADJ
fumecheng-7612	767	14	positive	positive	ADJ
fumecheng-7612	767	15	solutions	solution	NOUN
fumecheng-7612	767	16	for	for	ADP
fumecheng-7612	767	17	an	an	DET
fumecheng-7612	767	18	elastic	elastic	ADJ
fumecheng-7612	767	19	beam	beam	NOUN
fumecheng-7612	767	20	equation	equation	NOUN
fumecheng-7612	767	21	with	with	ADP
fumecheng-7612	767	22	nonlinear	nonlinear	ADJ
fumecheng-7612	767	23	boundary	boundary	ADJ
fumecheng-7612	767	24	conditions	condition	NOUN
fumecheng-7612	767	25	,	,	PUNCT
fumecheng-7612	767	26	mathematical	mathematical	ADJ
fumecheng-7612	767	27	problems	problem	NOUN
fumecheng-7612	767	28	in	in	ADP
fumecheng-7612	767	29	engineering	engineering	NOUN
fumecheng-7612	767	30	,	,	PUNCT
fumecheng-7612	767	31	3	3	NUM
fumecheng-7612	767	32	,	,	PUNCT
fumecheng-7612	767	33	pp	pp	ADJ
fumecheng-7612	767	34	.	.	PUNCT
fumecheng-7612	768	1	34	34	NUM
fumecheng-7612	768	2	-	-	SYM
fumecheng-7612	768	3	35	35	NUM
fumecheng-7612	768	4	.	.	PUNCT
fumecheng-7612	769	1	19	19	NUM
fumecheng-7612	769	2	.	.	X
fumecheng-7612	769	3	dang	dang	PROPN
fumecheng-7612	769	4	,	,	PUNCT
fumecheng-7612	769	5	q.a	q.a	PROPN
fumecheng-7612	769	6	.	.	PROPN
fumecheng-7612	769	7	,	,	PUNCT
fumecheng-7612	769	8	huong	huong	PROPN
fumecheng-7612	769	9	,	,	PUNCT
fumecheng-7612	769	10	n.t	n.t	PROPN
fumecheng-7612	769	11	.	.	PROPN
fumecheng-7612	769	12	,	,	PUNCT
fumecheng-7612	769	13	2013	2013	NUM
fumecheng-7612	769	14	,	,	PUNCT
fumecheng-7612	769	15	iterative	iterative	NOUN
fumecheng-7612	769	16	method	method	NOUN
fumecheng-7612	769	17	for	for	ADP
fumecheng-7612	769	18	solving	solve	VERB
fumecheng-7612	769	19	a	a	DET
fumecheng-7612	769	20	beam	beam	NOUN
fumecheng-7612	769	21	equation	equation	NOUN
fumecheng-7612	769	22	with	with	ADP
fumecheng-7612	769	23	nonlinear	nonlinear	ADJ
fumecheng-7612	769	24	boundary	boundary	ADJ
fumecheng-7612	769	25	conditions	condition	NOUN
fumecheng-7612	769	26	,	,	PUNCT
fumecheng-7612	769	27	adv	adv	PROPN
fumecheng-7612	769	28	.	.	PUNCT
fumecheng-7612	770	1	numerical	numerical	PROPN
fumecheng-7612	770	2	analysis	analysis	PROPN
fumecheng-7612	770	3	,	,	PUNCT
fumecheng-7612	770	4	pp	pp	PROPN
fumecheng-7612	770	5	.	.	PUNCT
fumecheng-7612	771	1	44	44	NUM
fumecheng-7612	771	2	-	-	SYM
fumecheng-7612	771	3	58	58	NUM
fumecheng-7612	771	4	.	.	PUNCT
fumecheng-7612	772	1	20	20	NUM
fumecheng-7612	772	2	.	.	PUNCT
fumecheng-7612	773	1	liu	liu	PROPN
fumecheng-7612	773	2	,	,	PUNCT
fumecheng-7612	773	3	c.s	c.s	PROPN
fumecheng-7612	773	4	.	.	PROPN
fumecheng-7612	773	5	,	,	PUNCT
fumecheng-7612	773	6	li	li	PROPN
fumecheng-7612	773	7	,	,	PUNCT
fumecheng-7612	773	8	b.a	b.a	PROPN
fumecheng-7612	773	9	.	.	PROPN
fumecheng-7612	773	10	,	,	PUNCT
fumecheng-7612	773	11	2017	2017	NUM
fumecheng-7612	773	12	,	,	PUNCT
fumecheng-7612	773	13	fast	fast	ADJ
fumecheng-7612	773	14	new	new	ADJ
fumecheng-7612	773	15	algorithm	algorithm	NOUN
fumecheng-7612	773	16	for	for	ADP
fumecheng-7612	773	17	solving	solve	VERB
fumecheng-7612	773	18	a	a	DET
fumecheng-7612	773	19	nonlinear	nonlinear	ADJ
fumecheng-7612	773	20	beam	beam	NOUN
fumecheng-7612	773	21	equation	equation	NOUN
fumecheng-7612	773	22	under	under	ADP
fumecheng-7612	773	23	nonlinear	nonlinear	ADJ
fumecheng-7612	773	24	boundary	boundary	ADJ
fumecheng-7612	773	25	conditions	condition	NOUN
fumecheng-7612	773	26	,	,	PUNCT
fumecheng-7612	773	27	ztschrift	ztschrift	NOUN
fumecheng-7612	773	28	für	für	PROPN
fumecheng-7612	773	29	naturforschung	naturforschung	PROPN
fumecheng-7612	773	30	a	a	DET
fumecheng-7612	773	31	,	,	PUNCT
fumecheng-7612	773	32	72(5	72(5	NOUN
fumecheng-7612	773	33	)	)	PUNCT
fumecheng-7612	773	34	,	,	PUNCT
fumecheng-7612	773	35	pp	pp	PROPN
fumecheng-7612	773	36	.	.	PUNCT
fumecheng-7612	774	1	397	397	NUM
fumecheng-7612	774	2	-	-	SYM
fumecheng-7612	774	3	400	400	NUM
fumecheng-7612	774	4	.	.	PUNCT
fumecheng-7612	775	1	21	21	NUM
fumecheng-7612	775	2	.	.	PUNCT
fumecheng-7612	775	3	alves	alves	PROPN
fumecheng-7612	775	4	,	,	PUNCT
fumecheng-7612	775	5	e.	e.	PROPN
fumecheng-7612	775	6	,	,	PUNCT
fumecheng-7612	775	7	ma	ma	PROPN
fumecheng-7612	775	8	,	,	PUNCT
fumecheng-7612	775	9	t.f	t.f	PROPN
fumecheng-7612	775	10	.	.	PROPN
fumecheng-7612	775	11	,	,	PUNCT
fumecheng-7612	775	12	maurício	maurício	NOUN
fumecheng-7612	775	13	,	,	PUNCT
fumecheng-7612	775	14	l.p	l.p	PROPN
fumecheng-7612	775	15	.	.	PROPN
fumecheng-7612	775	16	,	,	PUNCT
fumecheng-7612	775	17	2009	2009	NUM
fumecheng-7612	775	18	,	,	PUNCT
fumecheng-7612	775	19	monotone	monotone	ADJ
fumecheng-7612	775	20	positive	positive	ADJ
fumecheng-7612	775	21	solutions	solution	NOUN
fumecheng-7612	775	22	for	for	ADP
fumecheng-7612	775	23	a	a	DET
fumecheng-7612	775	24	fourth	fourth	ADJ
fumecheng-7612	775	25	order	order	NOUN
fumecheng-7612	775	26	equation	equation	NOUN
fumecheng-7612	775	27	with	with	ADP
fumecheng-7612	775	28	nonlinear	nonlinear	ADJ
fumecheng-7612	775	29	boundary	boundary	ADJ
fumecheng-7612	775	30	conditions	condition	NOUN
fumecheng-7612	775	31	,	,	PUNCT
fumecheng-7612	775	32	nonlinear	nonlinear	ADJ
fumecheng-7612	775	33	analysis	analysis	NOUN
fumecheng-7612	775	34	theory	theory	NOUN
fumecheng-7612	775	35	methods	method	NOUN
fumecheng-7612	775	36	&	&	CCONJ
fumecheng-7612	775	37	applications	application	NOUN
fumecheng-7612	775	38	,	,	PUNCT
fumecheng-7612	775	39	71(9	71(9	NOUN
fumecheng-7612	775	40	)	)	PUNCT
fumecheng-7612	775	41	,	,	PUNCT
fumecheng-7612	775	42	pp	pp	ADJ
fumecheng-7612	775	43	.	.	PUNCT
fumecheng-7612	776	1	3834	3834	NUM
fumecheng-7612	776	2	-	-	SYM
fumecheng-7612	776	3	3841	3841	NUM
fumecheng-7612	776	4	.	.	PUNCT
fumecheng-7612	777	1	22	22	NUM
fumecheng-7612	777	2	.	.	PUNCT
fumecheng-7612	778	1	geng	geng	PROPN
fumecheng-7612	778	2	,	,	PUNCT
fumecheng-7612	778	3	f.	f.	PROPN
fumecheng-7612	778	4	,	,	PUNCT
fumecheng-7612	778	5	2012	2012	NUM
fumecheng-7612	778	6	,	,	PUNCT
fumecheng-7612	778	7	iterative	iterative	NOUN
fumecheng-7612	778	8	reproducing	reproduce	VERB
fumecheng-7612	778	9	kernel	kernel	NOUN
fumecheng-7612	778	10	method	method	NOUN
fumecheng-7612	778	11	for	for	ADP
fumecheng-7612	778	12	a	a	DET
fumecheng-7612	778	13	beam	beam	NOUN
fumecheng-7612	778	14	equation	equation	NOUN
fumecheng-7612	778	15	with	with	ADP
fumecheng-7612	778	16	third	third	ADJ
fumecheng-7612	778	17	-	-	PUNCT
fumecheng-7612	778	18	order	order	NOUN
fumecheng-7612	778	19	nonlinear	nonlinear	ADJ
fumecheng-7612	778	20	boundary	boundary	ADJ
fumecheng-7612	778	21	conditions	condition	NOUN
fumecheng-7612	778	22	,	,	PUNCT
fumecheng-7612	778	23	mathematical	mathematical	ADJ
fumecheng-7612	778	24	sciences	science	NOUN
fumecheng-7612	778	25	,	,	PUNCT
fumecheng-7612	778	26	6(1	6(1	NUM
fumecheng-7612	778	27	)	)	PUNCT
fumecheng-7612	778	28	,	,	PUNCT
fumecheng-7612	778	29	pp	pp	ADP
fumecheng-7612	778	30	.	.	PUNCT
fumecheng-7612	779	1	1	1	NUM
fumecheng-7612	779	2	-	-	SYM
fumecheng-7612	779	3	4	4	NUM
fumecheng-7612	779	4	.	.	NOUN
fumecheng-7612	779	5	23	23	NUM
fumecheng-7612	779	6	.	.	PUNCT
fumecheng-7612	780	1	geng	geng	PROPN
fumecheng-7612	780	2	,	,	PUNCT
fumecheng-7612	780	3	f.	f.	PROPN
fumecheng-7612	780	4	,	,	PUNCT
fumecheng-7612	780	5	2009	2009	NUM
fumecheng-7612	780	6	,	,	PUNCT
fumecheng-7612	780	7	a	a	DET
fumecheng-7612	780	8	new	new	ADJ
fumecheng-7612	780	9	reproducing	reproduce	VERB
fumecheng-7612	780	10	kernel	kernel	PROPN
fumecheng-7612	780	11	hilbert	hilbert	PROPN
fumecheng-7612	780	12	space	space	NOUN
fumecheng-7612	780	13	method	method	NOUN
fumecheng-7612	780	14	for	for	ADP
fumecheng-7612	780	15	solving	solve	VERB
fumecheng-7612	780	16	nonlinear	nonlinear	ADJ
fumecheng-7612	780	17	fourth	fourth	ADJ
fumecheng-7612	780	18	-	-	PUNCT
fumecheng-7612	780	19	order	order	NOUN
fumecheng-7612	780	20	boundary	boundary	ADJ
fumecheng-7612	780	21	value	value	NOUN
fumecheng-7612	780	22	problems	problem	NOUN
fumecheng-7612	780	23	,	,	PUNCT
fumecheng-7612	780	24	applied	apply	VERB
fumecheng-7612	780	25	mathematics	mathematics	PROPN
fumecheng-7612	780	26	&	&	CCONJ
fumecheng-7612	780	27	computation	computation	PROPN
fumecheng-7612	780	28	,	,	PUNCT
fumecheng-7612	780	29	213(1	213(1	NUM
fumecheng-7612	780	30	)	)	PUNCT
fumecheng-7612	780	31	,	,	PUNCT
fumecheng-7612	780	32	pp	pp	PROPN
fumecheng-7612	780	33	.	.	PUNCT
fumecheng-7612	781	1	163	163	NUM
fumecheng-7612	781	2	-	-	SYM
fumecheng-7612	781	3	169	169	NUM
fumecheng-7612	781	4	.	.	PUNCT
fumecheng-7612	782	1	24	24	NUM
fumecheng-7612	782	2	.	.	PUNCT
fumecheng-7612	783	1	geng	geng	PROPN
fumecheng-7612	783	2	,	,	PUNCT
fumecheng-7612	783	3	f.	f.	PROPN
fumecheng-7612	783	4	,	,	PUNCT
fumecheng-7612	783	5	cui	cui	PROPN
fumecheng-7612	783	6	,	,	PUNCT
fumecheng-7612	783	7	m.	m.	NOUN
fumecheng-7612	783	8	,	,	PUNCT
fumecheng-7612	783	9	2007	2007	NUM
fumecheng-7612	783	10	,	,	PUNCT
fumecheng-7612	783	11	solving	solve	VERB
fumecheng-7612	783	12	singular	singular	PROPN
fumecheng-7612	783	13	nonlinear	nonlinear	ADJ
fumecheng-7612	783	14	second	second	ADJ
fumecheng-7612	783	15	-	-	PUNCT
fumecheng-7612	783	16	order	order	NOUN
fumecheng-7612	783	17	periodic	periodic	ADJ
fumecheng-7612	783	18	boundary	boundary	ADJ
fumecheng-7612	783	19	value	value	NOUN
fumecheng-7612	783	20	problems	problem	NOUN
fumecheng-7612	783	21	in	in	ADP
fumecheng-7612	783	22	the	the	DET
fumecheng-7612	783	23	reproducing	reproduce	VERB
fumecheng-7612	783	24	kernel	kernel	NOUN
fumecheng-7612	783	25	space	space	NOUN
fumecheng-7612	783	26	,	,	PUNCT
fumecheng-7612	783	27	applied	apply	VERB
fumecheng-7612	783	28	mathematics	mathematic	NOUN
fumecheng-7612	783	29	and	and	CCONJ
fumecheng-7612	783	30	computation	computation	NOUN
fumecheng-7612	783	31	,	,	PUNCT
fumecheng-7612	783	32	192(2	192(2	NUM
fumecheng-7612	783	33	)	)	PUNCT
fumecheng-7612	783	34	,	,	PUNCT
fumecheng-7612	783	35	pp	pp	ADP
fumecheng-7612	783	36	.	.	PUNCT
fumecheng-7612	784	1	389	389	NUM
fumecheng-7612	784	2	-	-	SYM
fumecheng-7612	784	3	398	398	NUM
fumecheng-7612	784	4	.	.	PUNCT
fumecheng-7612	785	1	25	25	NUM
fumecheng-7612	785	2	.	.	X
fumecheng-7612	785	3	sedighi	sedighi	PROPN
fumecheng-7612	785	4	,	,	PUNCT
fumecheng-7612	785	5	h.m	h.m	PROPN
fumecheng-7612	785	6	.	.	PROPN
fumecheng-7612	785	7	,	,	PUNCT
fumecheng-7612	785	8	reza	reza	PROPN
fumecheng-7612	785	9	,	,	PUNCT
fumecheng-7612	785	10	a.	a.	NOUN
fumecheng-7612	785	11	,	,	PUNCT
fumecheng-7612	785	12	zare	zare	PROPN
fumecheng-7612	785	13	,	,	PUNCT
fumecheng-7612	785	14	j.	j.	PROPN
fumecheng-7612	785	15	,	,	PUNCT
fumecheng-7612	785	16	2011	2011	NUM
fumecheng-7612	785	17	,	,	PUNCT
fumecheng-7612	785	18	dynamic	dynamic	ADJ
fumecheng-7612	785	19	analysis	analysis	NOUN
fumecheng-7612	785	20	of	of	ADP
fumecheng-7612	785	21	preload	preload	NOUN
fumecheng-7612	785	22	nonlinearity	nonlinearity	NOUN
fumecheng-7612	785	23	in	in	ADP
fumecheng-7612	785	24	nonlinear	nonlinear	ADJ
fumecheng-7612	785	25	beam	beam	NOUN
fumecheng-7612	785	26	vibration	vibration	NOUN
fumecheng-7612	785	27	,	,	PUNCT
fumecheng-7612	785	28	journal	journal	NOUN
fumecheng-7612	785	29	of	of	ADP
fumecheng-7612	785	30	vibroengineering	vibroengineere	VERB
fumecheng-7612	785	31	,	,	PUNCT
fumecheng-7612	785	32	13(4	13(4	NUM
fumecheng-7612	785	33	)	)	PUNCT
fumecheng-7612	785	34	,	,	PUNCT
fumecheng-7612	785	35	pp	pp	ADP
fumecheng-7612	785	36	.	.	PUNCT
fumecheng-7612	786	1	778	778	NUM
fumecheng-7612	786	2	-	-	SYM
fumecheng-7612	786	3	787	787	NUM
fumecheng-7612	786	4	.	.	PUNCT
fumecheng-7612	787	1	26	26	NUM
fumecheng-7612	787	2	.	.	PUNCT
fumecheng-7612	788	1	li	li	PROPN
fumecheng-7612	788	2	,	,	PUNCT
fumecheng-7612	788	3	s.	s.	PROPN
fumecheng-7612	788	4	,	,	PUNCT
fumecheng-7612	788	5	zhang	zhang	PROPN
fumecheng-7612	788	6	,	,	PUNCT
fumecheng-7612	788	7	x.	x.	NOUN
fumecheng-7612	788	8	,	,	PUNCT
fumecheng-7612	788	9	2012	2012	NUM
fumecheng-7612	788	10	,	,	PUNCT
fumecheng-7612	788	11	existence	existence	NOUN
fumecheng-7612	788	12	and	and	CCONJ
fumecheng-7612	788	13	uniqueness	uniqueness	NOUN
fumecheng-7612	788	14	of	of	ADP
fumecheng-7612	788	15	monotone	monotone	ADJ
fumecheng-7612	788	16	positive	positive	ADJ
fumecheng-7612	788	17	solutions	solution	NOUN
fumecheng-7612	788	18	for	for	ADP
fumecheng-7612	788	19	an	an	DET
fumecheng-7612	788	20	elastic	elastic	ADJ
fumecheng-7612	788	21	beam	beam	NOUN
fumecheng-7612	788	22	equation	equation	NOUN
fumecheng-7612	788	23	with	with	ADP
fumecheng-7612	788	24	nonlinear	nonlinear	ADJ
fumecheng-7612	788	25	boundary	boundary	ADJ
fumecheng-7612	788	26	conditions	condition	NOUN
fumecheng-7612	788	27	,	,	PUNCT
fumecheng-7612	788	28	computers	computer	NOUN
fumecheng-7612	788	29	&	&	CCONJ
fumecheng-7612	788	30	mathematics	mathematics	PROPN
fumecheng-7612	788	31	with	with	ADP
fumecheng-7612	788	32	applications	application	NOUN
fumecheng-7612	788	33	,	,	PUNCT
fumecheng-7612	788	34	63(9	63(9	NUM
fumecheng-7612	788	35	)	)	PUNCT
fumecheng-7612	788	36	,	,	PUNCT
fumecheng-7612	788	37	pp	pp	ADJ
fumecheng-7612	788	38	.	.	PUNCT
fumecheng-7612	789	1	1355	1355	NUM
fumecheng-7612	789	2	-	-	SYM
fumecheng-7612	789	3	1360	1360	NUM
fumecheng-7612	789	4	.	.	PUNCT
fumecheng-7612	790	1	27	27	NUM
fumecheng-7612	790	2	.	.	X
fumecheng-7612	790	3	sedighi	sedighi	PROPN
fumecheng-7612	790	4	,	,	PUNCT
fumecheng-7612	790	5	h.m	h.m	PROPN
fumecheng-7612	790	6	.	.	PROPN
fumecheng-7612	790	7	,	,	PUNCT
fumecheng-7612	790	8	shirazi	shirazi	PROPN
fumecheng-7612	790	9	,	,	PUNCT
fumecheng-7612	790	10	k.h	k.h	PROPN
fumecheng-7612	790	11	.	.	PROPN
fumecheng-7612	790	12	,	,	PUNCT
fumecheng-7612	790	13	reza	reza	PROPN
fumecheng-7612	790	14	,	,	PUNCT
fumecheng-7612	790	15	a.	a.	NOUN
fumecheng-7612	790	16	,	,	PUNCT
fumecheng-7612	790	17	zare	zare	PROPN
fumecheng-7612	790	18	,	,	PUNCT
fumecheng-7612	790	19	j.	j.	PROPN
fumecheng-7612	790	20	,	,	PUNCT
fumecheng-7612	790	21	2012	2012	NUM
fumecheng-7612	790	22	,	,	PUNCT
fumecheng-7612	790	23	accurate	accurate	ADJ
fumecheng-7612	790	24	modeling	modeling	NOUN
fumecheng-7612	790	25	of	of	ADP
fumecheng-7612	790	26	preload	preload	NOUN
fumecheng-7612	790	27	discontinuity	discontinuity	NOUN
fumecheng-7612	790	28	in	in	ADP
fumecheng-7612	790	29	the	the	DET
fumecheng-7612	790	30	analytical	analytical	ADJ
fumecheng-7612	790	31	approach	approach	NOUN
fumecheng-7612	790	32	of	of	ADP
fumecheng-7612	790	33	the	the	DET
fumecheng-7612	790	34	nonlinear	nonlinear	ADJ
fumecheng-7612	790	35	free	free	ADJ
fumecheng-7612	790	36	vibration	vibration	NOUN
fumecheng-7612	790	37	of	of	ADP
fumecheng-7612	790	38	beams	beam	NOUN
fumecheng-7612	790	39	,	,	PUNCT
fumecheng-7612	790	40	proceedings	proceeding	NOUN
fumecheng-7612	790	41	of	of	ADP
fumecheng-7612	790	42	the	the	DET
fumecheng-7612	790	43	institution	institution	NOUN
fumecheng-7612	790	44	of	of	ADP
fumecheng-7612	790	45	mechanical	mechanical	ADJ
fumecheng-7612	790	46	engineers	engineer	NOUN
fumecheng-7612	790	47	,	,	PUNCT
fumecheng-7612	790	48	part	part	NOUN
fumecheng-7612	790	49	c	c	NOUN
fumecheng-7612	790	50	:	:	PUNCT
fumecheng-7612	790	51	journal	journal	NOUN
fumecheng-7612	790	52	of	of	ADP
fumecheng-7612	790	53	mechanical	mechanical	ADJ
fumecheng-7612	790	54	engineering	engineering	NOUN
fumecheng-7612	790	55	science	science	NOUN
fumecheng-7612	790	56	,	,	PUNCT
fumecheng-7612	790	57	226(10	226(10	NUM
fumecheng-7612	790	58	)	)	PUNCT
fumecheng-7612	790	59	,	,	PUNCT
fumecheng-7612	790	60	pp	pp	ADJ
fumecheng-7612	790	61	.	.	PUNCT
fumecheng-7612	791	1	2474	2474	NUM
fumecheng-7612	791	2	-	-	SYM
fumecheng-7612	791	3	2484	2484	NUM
fumecheng-7612	791	4	.	.	PUNCT
fumecheng-7612	792	1	28	28	NUM
fumecheng-7612	792	2	.	.	X
fumecheng-7612	793	1	wang	wang	PROPN
fumecheng-7612	793	2	,	,	PUNCT
fumecheng-7612	793	3	w.	w.	PROPN
fumecheng-7612	793	4	,	,	PUNCT
fumecheng-7612	793	5	zheng	zheng	PROPN
fumecheng-7612	793	6	,	,	PUNCT
fumecheng-7612	793	7	y.	y.	PROPN
fumecheng-7612	793	8	,	,	PUNCT
fumecheng-7612	793	9	yang	yang	PROPN
fumecheng-7612	793	10	,	,	PUNCT
fumecheng-7612	793	11	h.	h.	PROPN
fumecheng-7612	793	12	,	,	PUNCT
fumecheng-7612	793	13	wang	wang	PROPN
fumecheng-7612	793	14	,	,	PUNCT
fumecheng-7612	793	15	j.	j.	PROPN
fumecheng-7612	793	16	,	,	PUNCT
fumecheng-7612	793	17	2014	2014	NUM
fumecheng-7612	793	18	,	,	PUNCT
fumecheng-7612	793	19	positive	positive	ADJ
fumecheng-7612	793	20	solutions	solution	NOUN
fumecheng-7612	793	21	for	for	ADP
fumecheng-7612	793	22	elastic	elastic	ADJ
fumecheng-7612	793	23	beam	beam	NOUN
fumecheng-7612	793	24	equations	equation	NOUN
fumecheng-7612	793	25	with	with	ADP
fumecheng-7612	793	26	nonlinear	nonlinear	ADJ
fumecheng-7612	793	27	boundary	boundary	ADJ
fumecheng-7612	793	28	conditions	condition	NOUN
fumecheng-7612	793	29	and	and	CCONJ
fumecheng-7612	793	30	a	a	DET
fumecheng-7612	793	31	parameter	parameter	NOUN
fumecheng-7612	793	32	,	,	PUNCT
fumecheng-7612	793	33	boundary	boundary	ADJ
fumecheng-7612	793	34	value	value	NOUN
fumecheng-7612	793	35	problems	problem	NOUN
fumecheng-7612	793	36	,	,	PUNCT
fumecheng-7612	793	37	2014(1	2014(1	NUM
fumecheng-7612	793	38	)	)	PUNCT
fumecheng-7612	793	39	,	,	PUNCT
fumecheng-7612	793	40	pp	pp	PROPN
fumecheng-7612	793	41	.	.	PUNCT
fumecheng-7612	794	1	1	1	NUM
fumecheng-7612	794	2	-	-	SYM
fumecheng-7612	794	3	17	17	NUM
fumecheng-7612	794	4	.	.	PUNCT
fumecheng-7612	795	1	29	29	NUM
fumecheng-7612	795	2	.	.	PUNCT
fumecheng-7612	796	1	song	song	PROPN
fumecheng-7612	796	2	,	,	PUNCT
fumecheng-7612	796	3	y.	y.	PROPN
fumecheng-7612	796	4	,	,	PUNCT
fumecheng-7612	796	5	2014	2014	NUM
fumecheng-7612	796	6	,	,	PUNCT
fumecheng-7612	796	7	a	a	DET
fumecheng-7612	796	8	nonlinear	nonlinear	ADJ
fumecheng-7612	796	9	boundary	boundary	ADJ
fumecheng-7612	796	10	value	value	NOUN
fumecheng-7612	796	11	problem	problem	NOUN
fumecheng-7612	796	12	for	for	ADP
fumecheng-7612	796	13	fourth	fourth	ADJ
fumecheng-7612	796	14	-	-	PUNCT
fumecheng-7612	796	15	order	order	NOUN
fumecheng-7612	796	16	elastic	elastic	ADJ
fumecheng-7612	796	17	beam	beam	NOUN
fumecheng-7612	796	18	equations	equation	NOUN
fumecheng-7612	796	19	,	,	PUNCT
fumecheng-7612	796	20	boundary	boundary	ADJ
fumecheng-7612	796	21	value	value	NOUN
fumecheng-7612	796	22	problems	problem	NOUN
fumecheng-7612	796	23	,	,	PUNCT
fumecheng-7612	796	24	2014(1	2014(1	NUM
fumecheng-7612	796	25	)	)	PUNCT
fumecheng-7612	796	26	,	,	PUNCT
fumecheng-7612	796	27	191	191	NUM
fumecheng-7612	796	28	.	.	NOUN
fumecheng-7612	796	29	30	30	NUM
fumecheng-7612	796	30	.	.	X
fumecheng-7612	797	1	mao	mao	PROPN
fumecheng-7612	797	2	,	,	PUNCT
fumecheng-7612	797	3	x.y	x.y	PROPN
fumecheng-7612	797	4	.	.	PROPN
fumecheng-7612	797	5	,	,	PUNCT
fumecheng-7612	797	6	ding	ding	NOUN
fumecheng-7612	797	7	,	,	PUNCT
fumecheng-7612	797	8	h.	h.	PROPN
fumecheng-7612	797	9	,	,	PUNCT
fumecheng-7612	797	10	chen	chen	PROPN
fumecheng-7612	797	11	,	,	PUNCT
fumecheng-7612	797	12	l.q	l.q	PROPN
fumecheng-7612	797	13	.	.	PROPN
fumecheng-7612	797	14	,	,	PUNCT
fumecheng-7612	797	15	2017	2017	NUM
fumecheng-7612	797	16	,	,	PUNCT
fumecheng-7612	797	17	vibration	vibration	NOUN
fumecheng-7612	797	18	of	of	ADP
fumecheng-7612	797	19	flexible	flexible	ADJ
fumecheng-7612	797	20	structures	structure	NOUN
fumecheng-7612	797	21	under	under	ADP
fumecheng-7612	797	22	nonlinear	nonlinear	ADJ
fumecheng-7612	797	23	boundary	boundary	ADJ
fumecheng-7612	797	24	conditions	condition	NOUN
fumecheng-7612	797	25	,	,	PUNCT
fumecheng-7612	797	26	journal	journal	NOUN
fumecheng-7612	797	27	of	of	ADP
fumecheng-7612	797	28	applied	apply	VERB
fumecheng-7612	797	29	mechanics	mechanic	NOUN
fumecheng-7612	797	30	,	,	PUNCT
fumecheng-7612	797	31	84(11	84(11	NUM
fumecheng-7612	797	32	)	)	PUNCT
fumecheng-7612	797	33	,	,	PUNCT
fumecheng-7612	797	34	111006	111006	NUM
fumecheng-7612	797	35	.	.	PUNCT
fumecheng-7612	798	1	31	31	NUM
fumecheng-7612	798	2	.	.	PUNCT
fumecheng-7612	799	1	rahman	rahman	PROPN
fumecheng-7612	799	2	,	,	PUNCT
fumecheng-7612	799	3	m.	m.	NOUN
fumecheng-7612	799	4	,	,	PUNCT
fumecheng-7612	799	5	hasan	hasan	PROPN
fumecheng-7612	799	6	,	,	PUNCT
fumecheng-7612	799	7	a.s	a.s	PROPN
fumecheng-7612	799	8	.	.	PROPN
fumecheng-7612	799	9	,	,	PUNCT
fumecheng-7612	799	10	yeasmin	yeasmin	PROPN
fumecheng-7612	799	11	,	,	PUNCT
fumecheng-7612	799	12	i.	i.	PROPN
fumecheng-7612	799	13	a.	a.	PROPN
fumecheng-7612	799	14	,	,	PUNCT
fumecheng-7612	799	15	2019	2019	NUM
fumecheng-7612	799	16	,	,	PUNCT
fumecheng-7612	799	17	modified	modify	VERB
fumecheng-7612	799	18	multi	multi	ADJ
fumecheng-7612	799	19	-	-	ADJ
fumecheng-7612	799	20	level	level	ADJ
fumecheng-7612	799	21	residue	residue	NOUN
fumecheng-7612	799	22	harmonic	harmonic	ADJ
fumecheng-7612	799	23	balance	balance	NOUN
fumecheng-7612	799	24	method	method	NOUN
fumecheng-7612	799	25	for	for	ADP
fumecheng-7612	799	26	solving	solve	VERB
fumecheng-7612	799	27	nonlinear	nonlinear	ADJ
fumecheng-7612	799	28	vibration	vibration	NOUN
fumecheng-7612	799	29	problem	problem	NOUN
fumecheng-7612	799	30	of	of	ADP
fumecheng-7612	799	31	beam	beam	NOUN
fumecheng-7612	799	32	resting	rest	VERB
fumecheng-7612	799	33	on	on	ADP
fumecheng-7612	799	34	nonlinear	nonlinear	ADJ
fumecheng-7612	799	35	elastic	elastic	ADJ
fumecheng-7612	799	36	foundation	foundation	NOUN
fumecheng-7612	799	37	,	,	PUNCT
fumecheng-7612	799	38	journal	journal	NOUN
fumecheng-7612	799	39	of	of	ADP
fumecheng-7612	799	40	applied	applied	ADJ
fumecheng-7612	799	41	and	and	CCONJ
fumecheng-7612	799	42	computational	computational	ADJ
fumecheng-7612	799	43	mechanics	mechanic	NOUN
fumecheng-7612	799	44	,	,	PUNCT
fumecheng-7612	799	45	5(4	5(4	NUM
fumecheng-7612	799	46	)	)	PUNCT
fumecheng-7612	799	47	,	,	PUNCT
fumecheng-7612	799	48	pp	pp	PROPN
fumecheng-7612	799	49	.	.	PUNCT
fumecheng-7612	800	1	627	627	NUM
fumecheng-7612	800	2	-	-	SYM
fumecheng-7612	800	3	638	638	NUM
fumecheng-7612	800	4	.	.	PUNCT
fumecheng-7612	801	1	32	32	NUM
fumecheng-7612	801	2	.	.	PUNCT
fumecheng-7612	802	1	li	li	PROPN
fumecheng-7612	802	2	,	,	PUNCT
fumecheng-7612	802	3	w.l	w.l	PROPN
fumecheng-7612	802	4	.	.	PROPN
fumecheng-7612	802	5	,	,	PUNCT
fumecheng-7612	802	6	xu	xu	PROPN
fumecheng-7612	802	7	,	,	PUNCT
fumecheng-7612	802	8	h.	h.	PROPN
fumecheng-7612	802	9	,	,	PUNCT
fumecheng-7612	802	10	2009	2009	NUM
fumecheng-7612	802	11	,	,	PUNCT
fumecheng-7612	802	12	an	an	DET
fumecheng-7612	802	13	exact	exact	ADJ
fumecheng-7612	802	14	fourier	fourier	NOUN
fumecheng-7612	802	15	series	series	NOUN
fumecheng-7612	802	16	method	method	NOUN
fumecheng-7612	802	17	for	for	ADP
fumecheng-7612	802	18	the	the	DET
fumecheng-7612	802	19	vibration	vibration	NOUN
fumecheng-7612	802	20	analysis	analysis	NOUN
fumecheng-7612	802	21	of	of	ADP
fumecheng-7612	802	22	multispan	multispan	PROPN
fumecheng-7612	802	23	beam	beam	PROPN
fumecheng-7612	802	24	systems	system	NOUN
fumecheng-7612	802	25	,	,	PUNCT
fumecheng-7612	802	26	journal	journal	NOUN
fumecheng-7612	802	27	of	of	ADP
fumecheng-7612	802	28	computational	computational	ADJ
fumecheng-7612	802	29	and	and	CCONJ
fumecheng-7612	802	30	nonlinear	nonlinear	ADJ
fumecheng-7612	802	31	dynamics	dynamic	NOUN
fumecheng-7612	802	32	,	,	PUNCT
fumecheng-7612	802	33	4(2	4(2	NUM
fumecheng-7612	802	34	)	)	PUNCT
fumecheng-7612	802	35	,	,	PUNCT
fumecheng-7612	802	36	pp	pp	ADP
fumecheng-7612	802	37	.	.	PUNCT
fumecheng-7612	803	1	710	710	NUM
fumecheng-7612	803	2	-	-	SYM
fumecheng-7612	803	3	733	733	NUM
fumecheng-7612	803	4	.	.	PUNCT
fumecheng-7612	804	1	33	33	NUM
fumecheng-7612	804	2	.	.	PUNCT
fumecheng-7612	805	1	bai	bai	PROPN
fumecheng-7612	805	2	,	,	PUNCT
fumecheng-7612	805	3	z.	z.	PROPN
fumecheng-7612	805	4	,	,	PUNCT
fumecheng-7612	805	5	wang	wang	PROPN
fumecheng-7612	805	6	,	,	PUNCT
fumecheng-7612	805	7	h.	h.	PROPN
fumecheng-7612	805	8	,	,	PUNCT
fumecheng-7612	805	9	2002	2002	NUM
fumecheng-7612	805	10	,	,	PUNCT
fumecheng-7612	805	11	on	on	ADP
fumecheng-7612	805	12	positive	positive	ADJ
fumecheng-7612	805	13	solutions	solution	NOUN
fumecheng-7612	805	14	of	of	ADP
fumecheng-7612	805	15	some	some	DET
fumecheng-7612	805	16	nonlinear	nonlinear	ADJ
fumecheng-7612	805	17	fourth	fourth	ADJ
fumecheng-7612	805	18	-	-	PUNCT
fumecheng-7612	805	19	order	order	NOUN
fumecheng-7612	805	20	beam	beam	NOUN
fumecheng-7612	805	21	equations	equation	NOUN
fumecheng-7612	805	22	,	,	PUNCT
fumecheng-7612	805	23	journal	journal	NOUN
fumecheng-7612	805	24	of	of	ADP
fumecheng-7612	805	25	mathematical	mathematical	ADJ
fumecheng-7612	805	26	analysis	analysis	NOUN
fumecheng-7612	805	27	and	and	CCONJ
fumecheng-7612	805	28	applications	application	NOUN
fumecheng-7612	805	29	,	,	PUNCT
fumecheng-7612	805	30	270(2	270(2	NUM
fumecheng-7612	805	31	)	)	PUNCT
fumecheng-7612	805	32	,	,	PUNCT
fumecheng-7612	805	33	pp	pp	PROPN
fumecheng-7612	805	34	.	.	PUNCT
fumecheng-7612	806	1	357	357	NUM
fumecheng-7612	806	2	-	-	SYM
fumecheng-7612	806	3	368	368	NUM
fumecheng-7612	806	4	.	.	PUNCT
fumecheng-7612	807	1	804	804	NUM
fumecheng-7612	807	2	p.	p.	NOUN
fumecheng-7612	807	3	wang	wang	PROPN
fumecheng-7612	807	4	,	,	PUNCT
fumecheng-7612	807	5	n.	n.	PROPN
fumecheng-7612	807	6	wu	wu	PROPN
fumecheng-7612	807	7	,	,	PUNCT
fumecheng-7612	807	8	h.	h.	PROPN
fumecheng-7612	807	9	luo	luo	PROPN
fumecheng-7612	807	10	,	,	PUNCT
fumecheng-7612	807	11	z.	z.	PROPN
fumecheng-7612	807	12	sun	sun	PROPN
fumecheng-7612	807	13	34	34	NUM
fumecheng-7612	807	14	.	.	PUNCT
fumecheng-7612	808	1	wu	wu	PROPN
fumecheng-7612	808	2	,	,	PUNCT
fumecheng-7612	808	3	n.	n.	NOUN
fumecheng-7612	808	4	,	,	PUNCT
fumecheng-7612	808	5	2015	2015	NUM
fumecheng-7612	808	6	,	,	PUNCT
fumecheng-7612	808	7	study	study	NOUN
fumecheng-7612	808	8	of	of	ADP
fumecheng-7612	808	9	forced	force	VERB
fumecheng-7612	808	10	vibration	vibration	NOUN
fumecheng-7612	808	11	response	response	NOUN
fumecheng-7612	808	12	of	of	ADP
fumecheng-7612	808	13	a	a	DET
fumecheng-7612	808	14	beam	beam	NOUN
fumecheng-7612	808	15	with	with	ADP
fumecheng-7612	808	16	a	a	DET
fumecheng-7612	808	17	breathing	breathing	NOUN
fumecheng-7612	808	18	crack	crack	NOUN
fumecheng-7612	808	19	using	use	VERB
fumecheng-7612	808	20	iteration	iteration	NOUN
fumecheng-7612	808	21	method	method	NOUN
fumecheng-7612	808	22	,	,	PUNCT
fumecheng-7612	808	23	journal	journal	NOUN
fumecheng-7612	808	24	of	of	ADP
fumecheng-7612	808	25	mechanical	mechanical	ADJ
fumecheng-7612	808	26	science	science	NOUN
fumecheng-7612	808	27	and	and	CCONJ
fumecheng-7612	808	28	technology	technology	NOUN
fumecheng-7612	808	29	,	,	PUNCT
fumecheng-7612	808	30	29(7	29(7	PROPN
fumecheng-7612	808	31	)	)	PUNCT
fumecheng-7612	808	32	,	,	PUNCT
fumecheng-7612	808	33	pp	pp	ADJ
fumecheng-7612	808	34	.	.	PUNCT
fumecheng-7612	809	1	2827	2827	NUM
fumecheng-7612	809	2	-	-	SYM
fumecheng-7612	809	3	2835	2835	NUM
fumecheng-7612	809	4	.	.	PUNCT
fumecheng-7612	810	1	35	35	NUM
fumecheng-7612	810	2	.	.	X
fumecheng-7612	810	3	adomian	adomian	NOUN
fumecheng-7612	810	4	,	,	PUNCT
fumecheng-7612	810	5	g.	g.	PROPN
fumecheng-7612	810	6	,	,	PUNCT
fumecheng-7612	810	7	1988	1988	NUM
fumecheng-7612	810	8	,	,	PUNCT
fumecheng-7612	810	9	a	a	DET
fumecheng-7612	810	10	review	review	NOUN
fumecheng-7612	810	11	of	of	ADP
fumecheng-7612	810	12	the	the	DET
fumecheng-7612	810	13	decomposition	decomposition	NOUN
fumecheng-7612	810	14	method	method	NOUN
fumecheng-7612	810	15	in	in	ADP
fumecheng-7612	810	16	applied	applied	ADJ
fumecheng-7612	810	17	mathematics	mathematic	NOUN
fumecheng-7612	810	18	,	,	PUNCT
fumecheng-7612	810	19	journal	journal	NOUN
fumecheng-7612	810	20	of	of	ADP
fumecheng-7612	810	21	mathematical	mathematical	ADJ
fumecheng-7612	810	22	analysis	analysis	NOUN
fumecheng-7612	810	23	and	and	CCONJ
fumecheng-7612	810	24	applications	application	NOUN
fumecheng-7612	810	25	,	,	PUNCT
fumecheng-7612	810	26	135(2	135(2	NUM
fumecheng-7612	810	27	)	)	PUNCT
fumecheng-7612	810	28	,	,	PUNCT
fumecheng-7612	810	29	pp	pp	ADP
fumecheng-7612	810	30	.	.	PUNCT
fumecheng-7612	811	1	501	501	NUM
fumecheng-7612	811	2	-	-	SYM
fumecheng-7612	811	3	544	544	NUM
fumecheng-7612	811	4	.	.	NOUN
fumecheng-7612	812	1	36	36	NUM
fumecheng-7612	812	2	.	.	PUNCT
fumecheng-7612	813	1	kuo	kuo	PROPN
fumecheng-7612	813	2	,	,	PUNCT
fumecheng-7612	813	3	y.h	y.h	PROPN
fumecheng-7612	813	4	.	.	PROPN
fumecheng-7612	813	5	,	,	PUNCT
fumecheng-7612	813	6	lee	lee	PROPN
fumecheng-7612	813	7	,	,	PUNCT
fumecheng-7612	813	8	s.y	s.y	PROPN
fumecheng-7612	813	9	.	.	PROPN
fumecheng-7612	813	10	,	,	PUNCT
fumecheng-7612	813	11	1994	1994	NUM
fumecheng-7612	813	12	,	,	PUNCT
fumecheng-7612	813	13	deflection	deflection	NOUN
fumecheng-7612	813	14	of	of	ADP
fumecheng-7612	813	15	nonuniform	nonuniform	ADJ
fumecheng-7612	813	16	beams	beam	NOUN
fumecheng-7612	813	17	resting	rest	VERB
fumecheng-7612	813	18	on	on	ADP
fumecheng-7612	813	19	a	a	DET
fumecheng-7612	813	20	nonlinear	nonlinear	ADJ
fumecheng-7612	813	21	elastic	elastic	ADJ
fumecheng-7612	813	22	foundation	foundation	NOUN
fumecheng-7612	813	23	,	,	PUNCT
fumecheng-7612	813	24	computers	computer	NOUN
fumecheng-7612	813	25	&	&	CCONJ
fumecheng-7612	813	26	structures	structure	NOUN
fumecheng-7612	813	27	,	,	PUNCT
fumecheng-7612	813	28	51(5	51(5	NUM
fumecheng-7612	813	29	)	)	PUNCT
fumecheng-7612	813	30	,	,	PUNCT
fumecheng-7612	813	31	pp	pp	PROPN
fumecheng-7612	813	32	.	.	PUNCT
fumecheng-7612	814	1	513	513	NUM
fumecheng-7612	814	2	-	-	SYM
fumecheng-7612	814	3	519	519	NUM
fumecheng-7612	814	4	.	.	PUNCT
fumecheng-7612	815	1	37	37	NUM
fumecheng-7612	815	2	.	.	PUNCT
fumecheng-7612	816	1	lin	lin	PROPN
fumecheng-7612	816	2	,	,	PUNCT
fumecheng-7612	816	3	s.m	s.m	PROPN
fumecheng-7612	816	4	.	.	PROPN
fumecheng-7612	816	5	,	,	PUNCT
fumecheng-7612	816	6	1998	1998	NUM
fumecheng-7612	816	7	,	,	PUNCT
fumecheng-7612	816	8	pretwisted	pretwiste	VERB
fumecheng-7612	816	9	nonuniform	nonuniform	NOUN
fumecheng-7612	816	10	beams	beam	NOUN
fumecheng-7612	816	11	with	with	ADP
fumecheng-7612	816	12	time	time	NOUN
fumecheng-7612	816	13	-	-	PUNCT
fumecheng-7612	816	14	dependent	dependent	ADJ
fumecheng-7612	816	15	elastic	elastic	ADJ
fumecheng-7612	816	16	boundary	boundary	ADJ
fumecheng-7612	816	17	conditions	condition	NOUN
fumecheng-7612	816	18	,	,	PUNCT
fumecheng-7612	816	19	aiaa	aiaa	ADJ
fumecheng-7612	816	20	journal	journal	PROPN
fumecheng-7612	816	21	,	,	PUNCT
fumecheng-7612	816	22	36(8	36(8	NUM
fumecheng-7612	816	23	)	)	PUNCT
fumecheng-7612	816	24	,	,	PUNCT
fumecheng-7612	816	25	pp	pp	ADP
fumecheng-7612	816	26	.	.	PUNCT
fumecheng-7612	816	27	1516	1516	NUM
fumecheng-7612	816	28	-	-	SYM
fumecheng-7612	816	29	1523	1523	NUM
fumecheng-7612	816	30	.	.	PUNCT
fumecheng-7612	817	1	38	38	NUM
fumecheng-7612	817	2	.	.	PUNCT
fumecheng-7612	818	1	lee	lee	PROPN
fumecheng-7612	818	2	,	,	PUNCT
fumecheng-7612	818	3	s.y	s.y	PROPN
fumecheng-7612	818	4	.	.	PROPN
fumecheng-7612	818	5	,	,	PUNCT
fumecheng-7612	818	6	wang	wang	PROPN
fumecheng-7612	818	7	,	,	PUNCT
fumecheng-7612	818	8	w.r	w.r	PROPN
fumecheng-7612	818	9	.	.	PROPN
fumecheng-7612	818	10	,	,	PUNCT
fumecheng-7612	818	11	chen	chen	PROPN
fumecheng-7612	818	12	,	,	PUNCT
fumecheng-7612	818	13	t.y.f	t.y.f	NOUN
fumecheng-7612	818	14	.	.	PROPN
fumecheng-7612	818	15	,	,	PUNCT
fumecheng-7612	818	16	1998	1998	NUM
fumecheng-7612	818	17	,	,	PUNCT
fumecheng-7612	818	18	a	a	DET
fumecheng-7612	818	19	general	general	ADJ
fumecheng-7612	818	20	approach	approach	NOUN
fumecheng-7612	818	21	on	on	ADP
fumecheng-7612	818	22	the	the	DET
fumecheng-7612	818	23	mechanical	mechanical	ADJ
fumecheng-7612	818	24	analysis	analysis	NOUN
fumecheng-7612	818	25	of	of	ADP
fumecheng-7612	818	26	nonuniform	nonuniform	ADJ
fumecheng-7612	818	27	beams	beam	NOUN
fumecheng-7612	818	28	with	with	ADP
fumecheng-7612	818	29	nonhomogeneous	nonhomogeneous	ADJ
fumecheng-7612	818	30	elastic	elastic	ADJ
fumecheng-7612	818	31	boundary	boundary	ADJ
fumecheng-7612	818	32	conditions	condition	NOUN
fumecheng-7612	818	33	,	,	PUNCT
fumecheng-7612	818	34	journal	journal	NOUN
fumecheng-7612	818	35	of	of	ADP
fumecheng-7612	818	36	vibration	vibration	NOUN
fumecheng-7612	818	37	&	&	CCONJ
fumecheng-7612	818	38	acoustics	acoustic	NOUN
fumecheng-7612	818	39	,	,	PUNCT
fumecheng-7612	818	40	120(1	120(1	NUM
fumecheng-7612	818	41	)	)	PUNCT
fumecheng-7612	818	42	,	,	PUNCT
fumecheng-7612	818	43	164	164	NUM
fumecheng-7612	818	44	.	.	X
fumecheng-7612	818	45	39	39	NUM
fumecheng-7612	818	46	.	.	PUNCT
fumecheng-7612	819	1	tsiatas	tsiata	NOUN
fumecheng-7612	819	2	,	,	PUNCT
fumecheng-7612	819	3	g.c	g.c	PROPN
fumecheng-7612	819	4	.	.	PROPN
fumecheng-7612	819	5	,	,	PUNCT
fumecheng-7612	819	6	2010	2010	NUM
fumecheng-7612	819	7	,	,	PUNCT
fumecheng-7612	819	8	nonlinear	nonlinear	ADJ
fumecheng-7612	819	9	analysis	analysis	NOUN
fumecheng-7612	819	10	of	of	ADP
fumecheng-7612	819	11	non	non	ADJ
fumecheng-7612	819	12	-	-	ADJ
fumecheng-7612	819	13	uniform	uniform	ADJ
fumecheng-7612	819	14	beams	beam	NOUN
fumecheng-7612	819	15	on	on	ADP
fumecheng-7612	819	16	nonlinear	nonlinear	ADJ
fumecheng-7612	819	17	elastic	elastic	ADJ
fumecheng-7612	819	18	foundation	foundation	NOUN
fumecheng-7612	819	19	,	,	PUNCT
fumecheng-7612	819	20	acta	acta	PROPN
fumecheng-7612	819	21	mechanica	mechanica	PROPN
fumecheng-7612	819	22	,	,	PUNCT
fumecheng-7612	819	23	209(1	209(1	NUM
fumecheng-7612	819	24	-	-	SYM
fumecheng-7612	819	25	2	2	NUM
fumecheng-7612	819	26	)	)	PUNCT
fumecheng-7612	819	27	,	,	PUNCT
fumecheng-7612	819	28	141	141	NUM
fumecheng-7612	819	29	.	.	PUNCT
fumecheng-7612	819	30	40	40	NUM
fumecheng-7612	819	31	.	.	PUNCT
fumecheng-7612	820	1	jang	jang	PROPN
fumecheng-7612	820	2	,	,	PUNCT
fumecheng-7612	820	3	t.	t.	PROPN
fumecheng-7612	820	4	s.	s.	PROPN
fumecheng-7612	820	5	,	,	PUNCT
fumecheng-7612	820	6	1967	1967	NUM
fumecheng-7612	820	7	,	,	PUNCT
fumecheng-7612	820	8	a	a	DET
fumecheng-7612	820	9	general	general	ADJ
fumecheng-7612	820	10	method	method	NOUN
fumecheng-7612	820	11	for	for	ADP
fumecheng-7612	820	12	analyzing	analyze	VERB
fumecheng-7612	820	13	moderately	moderately	ADV
fumecheng-7612	820	14	large	large	ADJ
fumecheng-7612	820	15	deflections	deflection	NOUN
fumecheng-7612	820	16	of	of	ADP
fumecheng-7612	820	17	a	a	DET
fumecheng-7612	820	18	non	non	ADJ
fumecheng-7612	820	19	-	-	ADJ
fumecheng-7612	820	20	uniform	uniform	ADJ
fumecheng-7612	820	21	beam	beam	NOUN
fumecheng-7612	820	22	:	:	PUNCT
fumecheng-7612	820	23	an	an	DET
fumecheng-7612	820	24	infinite	infinite	ADJ
fumecheng-7612	820	25	bernoulli	bernoulli	NOUN
fumecheng-7612	820	26	–	–	PUNCT
fumecheng-7612	820	27	euler	euler	PROPN
fumecheng-7612	820	28	–	–	PUNCT
fumecheng-7612	820	29	von	von	PROPN
fumecheng-7612	820	30	kármán	kármán	PROPN
fumecheng-7612	820	31	beam	beam	NOUN
fumecheng-7612	820	32	on	on	ADP
fumecheng-7612	820	33	a	a	DET
fumecheng-7612	820	34	nonlinear	nonlinear	ADJ
fumecheng-7612	820	35	elastic	elastic	ADJ
fumecheng-7612	820	36	foundation	foundation	NOUN
fumecheng-7612	820	37	,	,	PUNCT
fumecheng-7612	820	38	acta	acta	PROPN
fumecheng-7612	820	39	mechanica	mechanica	PROPN
fumecheng-7612	820	40	,	,	PUNCT
fumecheng-7612	820	41	225(7	225(7	NUM
fumecheng-7612	820	42	)	)	PUNCT
fumecheng-7612	820	43	,	,	PUNCT
fumecheng-7612	820	44	pp	pp	PROPN
fumecheng-7612	820	45	.	.	PUNCT
fumecheng-7612	821	1	1967	1967	NUM
fumecheng-7612	821	2	-	-	SYM
fumecheng-7612	821	3	1984	1984	NUM
fumecheng-7612	821	4	.	.	PUNCT
fumecheng-7612	822	1	41	41	NUM
fumecheng-7612	822	2	.	.	PUNCT
fumecheng-7612	823	1	lohar	lohar	PROPN
fumecheng-7612	823	2	,	,	PUNCT
fumecheng-7612	823	3	h.	h.	PROPN
fumecheng-7612	823	4	,	,	PUNCT
fumecheng-7612	823	5	mitra	mitra	PROPN
fumecheng-7612	823	6	,	,	PUNCT
fumecheng-7612	823	7	a.	a.	PROPN
fumecheng-7612	823	8	,	,	PUNCT
fumecheng-7612	823	9	sahoo	sahoo	PROPN
fumecheng-7612	823	10	,	,	PUNCT
fumecheng-7612	823	11	s.	s.	PROPN
fumecheng-7612	823	12	,	,	PUNCT
fumecheng-7612	823	13	2016	2016	NUM
fumecheng-7612	823	14	,	,	PUNCT
fumecheng-7612	823	15	geometric	geometric	ADJ
fumecheng-7612	823	16	nonlinear	nonlinear	ADJ
fumecheng-7612	823	17	free	free	ADJ
fumecheng-7612	823	18	vibration	vibration	NOUN
fumecheng-7612	823	19	of	of	ADP
fumecheng-7612	823	20	axially	axially	ADV
fumecheng-7612	823	21	functionally	functionally	ADV
fumecheng-7612	823	22	graded	grade	VERB
fumecheng-7612	823	23	non	non	ADJ
fumecheng-7612	823	24	-	-	ADJ
fumecheng-7612	823	25	uniform	uniform	ADJ
fumecheng-7612	823	26	beams	beam	NOUN
fumecheng-7612	823	27	supported	support	VERB
fumecheng-7612	823	28	on	on	ADP
fumecheng-7612	823	29	elastic	elastic	ADJ
fumecheng-7612	823	30	foundation	foundation	NOUN
fumecheng-7612	823	31	,	,	PUNCT
fumecheng-7612	823	32	curved	curved	ADJ
fumecheng-7612	823	33	and	and	CCONJ
fumecheng-7612	823	34	layered	layered	ADJ
fumecheng-7612	823	35	structures	structure	NOUN
fumecheng-7612	823	36	,	,	PUNCT
fumecheng-7612	823	37	3(1	3(1	NUM
fumecheng-7612	823	38	)	)	PUNCT
fumecheng-7612	823	39	,	,	PUNCT
fumecheng-7612	823	40	doi	doi	NOUN
fumecheng-7612	823	41	:	:	PUNCT
fumecheng-7612	823	42	10.1515	10.1515	NUM
fumecheng-7612	823	43	/	/	SYM
fumecheng-7612	823	44	cls-2016	cls-2016	NOUN
fumecheng-7612	823	45	-	-	PUNCT
fumecheng-7612	823	46	0018	0018	NUM
fumecheng-7612	823	47	.	.	PUNCT