id	sid	tid	token	lemma	pos
fumecheng-4971	1	1	facta	facta	PROPN
fumecheng-4971	1	2	universitatis	universitatis	PROPN
fumecheng-4971	1	3	series	series	NOUN
fumecheng-4971	1	4	:	:	PUNCT
fumecheng-4971	1	5	mechanical	mechanical	ADJ
fumecheng-4971	1	6	engineering	engineering	NOUN
fumecheng-4971	1	7	vol	vol	NOUN
fumecheng-4971	1	8	.	.	PROPN
fumecheng-4971	2	1	17	17	NUM
fumecheng-4971	2	2	,	,	PUNCT
fumecheng-4971	2	3	no	no	DET
fumecheng-4971	2	4	2	2	NUM
fumecheng-4971	2	5	,	,	PUNCT
fumecheng-4971	2	6	2019	2019	NUM
fumecheng-4971	2	7	,	,	PUNCT
fumecheng-4971	2	8	pp	pp	ADJ
fumecheng-4971	2	9	.	.	PUNCT
fumecheng-4971	3	1	125	125	NUM
fumecheng-4971	3	2	139	139	NUM
fumecheng-4971	3	3	https://doi.org/10.22190/fume190301031n	https://doi.org/10.22190/fume190301031n	PROPN
fumecheng-4971	3	4	©	©	PROPN
fumecheng-4971	3	5	2019	2019	NUM
fumecheng-4971	3	6	by	by	ADP
fumecheng-4971	3	7	university	university	PROPN
fumecheng-4971	3	8	of	of	ADP
fumecheng-4971	3	9	niš	niš	PROPN
fumecheng-4971	3	10	,	,	PUNCT
fumecheng-4971	3	11	serbia	serbia	PROPN
fumecheng-4971	3	12	|	|	ADV
fumecheng-4971	3	13	creative	creative	ADJ
fumecheng-4971	3	14	commons	common	NOUN
fumecheng-4971	3	15	license	license	NOUN
fumecheng-4971	3	16	:	:	PUNCT
fumecheng-4971	3	17	cc	cc	VERB
fumecheng-4971	3	18	by	by	ADP
fumecheng-4971	3	19	-	-	PUNCT
fumecheng-4971	3	20	nc	nc	VERB
fumecheng-4971	3	21	-	-	PUNCT
fumecheng-4971	3	22	nd	nd	ADV
fumecheng-4971	3	23	original	original	ADJ
fumecheng-4971	3	24	scientific	scientific	NOUN
fumecheng-4971	3	25	paper	paper	NOUN
fumecheng-4971	3	26	on	on	ADP
fumecheng-4971	3	27	the	the	DET
fumecheng-4971	3	28	discretization	discretization	NOUN
fumecheng-4971	3	29	of	of	ADP
fumecheng-4971	3	30	a	a	DET
fumecheng-4971	3	31	bistable	bistable	ADJ
fumecheng-4971	3	32	cantilever	cantilever	NOUN
fumecheng-4971	3	33	beam	beam	NOUN
fumecheng-4971	3	34	with	with	ADP
fumecheng-4971	3	35	application	application	NOUN
fumecheng-4971	3	36	to	to	ADP
fumecheng-4971	3	37	energy	energy	NOUN
fumecheng-4971	3	38	harvesting	harvesting	NOUN
fumecheng-4971	3	39	max	max	PROPN
fumecheng-4971	3	40	-	-	PUNCT
fumecheng-4971	3	41	uwe	uwe	PROPN
fumecheng-4971	3	42	noll	noll	PROPN
fumecheng-4971	3	43	,	,	PUNCT
fumecheng-4971	3	44	lukas	lukas	PROPN
fumecheng-4971	3	45	lentz	lentz	PROPN
fumecheng-4971	3	46	,	,	PUNCT
fumecheng-4971	3	47	utz	utz	PROPN
fumecheng-4971	3	48	von	von	PROPN
fumecheng-4971	3	49	wagner	wagner	PROPN
fumecheng-4971	3	50	chair	chair	PROPN
fumecheng-4971	3	51	of	of	ADP
fumecheng-4971	3	52	mechatronics	mechatronic	NOUN
fumecheng-4971	3	53	and	and	CCONJ
fumecheng-4971	3	54	machine	machine	NOUN
fumecheng-4971	3	55	dynamics	dynamic	NOUN
fumecheng-4971	3	56	,	,	PUNCT
fumecheng-4971	3	57	technische	technische	PROPN
fumecheng-4971	3	58	universität	universität	PROPN
fumecheng-4971	3	59	berlin	berlin	PROPN
fumecheng-4971	3	60	abstract	abstract	NOUN
fumecheng-4971	3	61	.	.	PUNCT
fumecheng-4971	4	1	a	a	DET
fumecheng-4971	4	2	typical	typical	ADJ
fumecheng-4971	4	3	setup	setup	NOUN
fumecheng-4971	4	4	for	for	ADP
fumecheng-4971	4	5	energy	energy	NOUN
fumecheng-4971	4	6	harvesting	harvesting	NOUN
fumecheng-4971	4	7	is	be	AUX
fumecheng-4971	4	8	that	that	PRON
fumecheng-4971	4	9	of	of	ADP
fumecheng-4971	4	10	a	a	DET
fumecheng-4971	4	11	cantilever	cantilever	NOUN
fumecheng-4971	4	12	beam	beam	NOUN
fumecheng-4971	4	13	with	with	ADP
fumecheng-4971	4	14	piezoceramics	piezoceramic	NOUN
fumecheng-4971	4	15	excited	excite	VERB
fumecheng-4971	4	16	by	by	ADP
fumecheng-4971	4	17	ambient	ambient	ADJ
fumecheng-4971	4	18	base	base	NOUN
fumecheng-4971	4	19	vibrations	vibration	NOUN
fumecheng-4971	4	20	.	.	PUNCT
fumecheng-4971	5	1	in	in	ADP
fumecheng-4971	5	2	order	order	NOUN
fumecheng-4971	5	3	to	to	PART
fumecheng-4971	5	4	get	get	VERB
fumecheng-4971	5	5	higher	high	ADJ
fumecheng-4971	5	6	energy	energy	NOUN
fumecheng-4971	5	7	output	output	NOUN
fumecheng-4971	5	8	for	for	ADP
fumecheng-4971	5	9	a	a	DET
fumecheng-4971	5	10	wide	wide	ADJ
fumecheng-4971	5	11	range	range	NOUN
fumecheng-4971	5	12	of	of	ADP
fumecheng-4971	5	13	excitation	excitation	NOUN
fumecheng-4971	5	14	frequencies	frequency	NOUN
fumecheng-4971	5	15	,	,	PUNCT
fumecheng-4971	5	16	often	often	ADV
fumecheng-4971	5	17	a	a	DET
fumecheng-4971	5	18	nonlinearity	nonlinearity	NOUN
fumecheng-4971	5	19	is	be	AUX
fumecheng-4971	5	20	introduced	introduce	VERB
fumecheng-4971	5	21	by	by	ADP
fumecheng-4971	5	22	intention	intention	NOUN
fumecheng-4971	5	23	in	in	ADP
fumecheng-4971	5	24	that	that	DET
fumecheng-4971	5	25	way	way	NOUN
fumecheng-4971	5	26	,	,	PUNCT
fumecheng-4971	5	27	that	that	SCONJ
fumecheng-4971	5	28	two	two	NUM
fumecheng-4971	5	29	magnets	magnet	NOUN
fumecheng-4971	5	30	are	be	AUX
fumecheng-4971	5	31	fixed	fix	VERB
fumecheng-4971	5	32	close	close	ADV
fumecheng-4971	5	33	to	to	ADP
fumecheng-4971	5	34	the	the	DET
fumecheng-4971	5	35	free	free	ADJ
fumecheng-4971	5	36	tip	tip	NOUN
fumecheng-4971	5	37	of	of	ADP
fumecheng-4971	5	38	the	the	DET
fumecheng-4971	5	39	beam	beam	NOUN
fumecheng-4971	5	40	.	.	PUNCT
fumecheng-4971	6	1	depending	depend	VERB
fumecheng-4971	6	2	on	on	ADP
fumecheng-4971	6	3	strength	strength	NOUN
fumecheng-4971	6	4	and	and	CCONJ
fumecheng-4971	6	5	position	position	NOUN
fumecheng-4971	6	6	of	of	ADP
fumecheng-4971	6	7	the	the	DET
fumecheng-4971	6	8	magnets	magnet	NOUN
fumecheng-4971	6	9	,	,	PUNCT
fumecheng-4971	6	10	this	this	PRON
fumecheng-4971	6	11	can	can	AUX
fumecheng-4971	6	12	either	either	CCONJ
fumecheng-4971	6	13	result	result	VERB
fumecheng-4971	6	14	in	in	ADP
fumecheng-4971	6	15	a	a	DET
fumecheng-4971	6	16	mono-	mono-	ADJ
fumecheng-4971	6	17	,	,	PUNCT
fumecheng-4971	6	18	bior	bior	ADJ
fumecheng-4971	6	19	tristable	tristable	ADJ
fumecheng-4971	6	20	system	system	NOUN
fumecheng-4971	6	21	.	.	PUNCT
fumecheng-4971	7	1	in	in	ADP
fumecheng-4971	7	2	our	our	PRON
fumecheng-4971	7	3	study	study	NOUN
fumecheng-4971	7	4	,	,	PUNCT
fumecheng-4971	7	5	we	we	PRON
fumecheng-4971	7	6	focus	focus	VERB
fumecheng-4971	7	7	on	on	ADP
fumecheng-4971	7	8	a	a	DET
fumecheng-4971	7	9	bistable	bistable	ADJ
fumecheng-4971	7	10	system	system	NOUN
fumecheng-4971	7	11	.	.	PUNCT
fumecheng-4971	8	1	such	such	ADJ
fumecheng-4971	8	2	systems	system	NOUN
fumecheng-4971	8	3	have	have	AUX
fumecheng-4971	8	4	been	be	AUX
fumecheng-4971	8	5	investigated	investigate	VERB
fumecheng-4971	8	6	thoroughly	thoroughly	ADV
fumecheng-4971	8	7	in	in	ADP
fumecheng-4971	8	8	literature	literature	NOUN
fumecheng-4971	8	9	while	while	SCONJ
fumecheng-4971	8	10	in	in	ADP
fumecheng-4971	8	11	almost	almost	ADV
fumecheng-4971	8	12	all	all	PRON
fumecheng-4971	8	13	cases	case	NOUN
fumecheng-4971	8	14	the	the	DET
fumecheng-4971	8	15	beam	beam	NOUN
fumecheng-4971	8	16	has	have	AUX
fumecheng-4971	8	17	been	be	AUX
fumecheng-4971	8	18	discretized	discretize	VERB
fumecheng-4971	8	19	by	by	ADP
fumecheng-4971	8	20	a	a	DET
fumecheng-4971	8	21	single	single	ADJ
fumecheng-4971	8	22	shape	shape	NOUN
fumecheng-4971	8	23	function	function	NOUN
fumecheng-4971	8	24	,	,	PUNCT
fumecheng-4971	8	25	in	in	ADP
fumecheng-4971	8	26	general	general	ADJ
fumecheng-4971	8	27	the	the	DET
fumecheng-4971	8	28	first	first	ADJ
fumecheng-4971	8	29	eigenshape	eigenshape	NOUN
fumecheng-4971	8	30	of	of	ADP
fumecheng-4971	8	31	the	the	DET
fumecheng-4971	8	32	linear	linear	ADJ
fumecheng-4971	8	33	beam	beam	NOUN
fumecheng-4971	8	34	with	with	ADP
fumecheng-4971	8	35	undeflected	undeflected	ADJ
fumecheng-4971	8	36	stable	stable	ADJ
fumecheng-4971	8	37	equilibrium	equilibrium	NOUN
fumecheng-4971	8	38	position	position	NOUN
fumecheng-4971	8	39	.	.	PUNCT
fumecheng-4971	9	1	there	there	PRON
fumecheng-4971	9	2	can	can	AUX
fumecheng-4971	9	3	be	be	AUX
fumecheng-4971	9	4	some	some	DET
fumecheng-4971	9	5	doubts	doubt	NOUN
fumecheng-4971	9	6	about	about	ADP
fumecheng-4971	9	7	the	the	DET
fumecheng-4971	9	8	suitability	suitability	NOUN
fumecheng-4971	9	9	of	of	ADP
fumecheng-4971	9	10	a	a	DET
fumecheng-4971	9	11	discretization	discretization	NOUN
fumecheng-4971	9	12	by	by	ADP
fumecheng-4971	9	13	a	a	DET
fumecheng-4971	9	14	single	single	ADJ
fumecheng-4971	9	15	shape	shape	NOUN
fumecheng-4971	9	16	function	function	NOUN
fumecheng-4971	9	17	mainly	mainly	ADV
fumecheng-4971	9	18	due	due	ADP
fumecheng-4971	9	19	to	to	ADP
fumecheng-4971	9	20	two	two	NUM
fumecheng-4971	9	21	reasons	reason	NOUN
fumecheng-4971	9	22	.	.	PUNCT
fumecheng-4971	10	1	first	first	ADV
fumecheng-4971	10	2	:	:	PUNCT
fumecheng-4971	10	3	in	in	ADP
fumecheng-4971	10	4	case	case	NOUN
fumecheng-4971	10	5	of	of	ADP
fumecheng-4971	10	6	stochastic	stochastic	ADJ
fumecheng-4971	10	7	broadband	broadband	NOUN
fumecheng-4971	10	8	excitations	excitation	NOUN
fumecheng-4971	10	9	a	a	DET
fumecheng-4971	10	10	discretization	discretization	NOUN
fumecheng-4971	10	11	,	,	PUNCT
fumecheng-4971	10	12	taking	take	VERB
fumecheng-4971	10	13	into	into	ADP
fumecheng-4971	10	14	consideration	consideration	NOUN
fumecheng-4971	10	15	just	just	ADV
fumecheng-4971	10	16	the	the	DET
fumecheng-4971	10	17	first	first	ADJ
fumecheng-4971	10	18	vibration	vibration	NOUN
fumecheng-4971	10	19	shape	shape	NOUN
fumecheng-4971	10	20	seems	seem	VERB
fumecheng-4971	10	21	not	not	PART
fumecheng-4971	10	22	to	to	PART
fumecheng-4971	10	23	be	be	AUX
fumecheng-4971	10	24	reasonable	reasonable	ADJ
fumecheng-4971	10	25	.	.	PUNCT
fumecheng-4971	11	1	second	second	ADV
fumecheng-4971	11	2	:	:	PUNCT
fumecheng-4971	11	3	as	as	SCONJ
fumecheng-4971	11	4	the	the	DET
fumecheng-4971	11	5	undeflected	undeflected	ADJ
fumecheng-4971	11	6	position	position	NOUN
fumecheng-4971	11	7	of	of	ADP
fumecheng-4971	11	8	the	the	DET
fumecheng-4971	11	9	considered	consider	VERB
fumecheng-4971	11	10	system	system	NOUN
fumecheng-4971	11	11	is	be	AUX
fumecheng-4971	11	12	unstable	unstable	ADJ
fumecheng-4971	11	13	and	and	CCONJ
fumecheng-4971	11	14	the	the	DET
fumecheng-4971	11	15	system	system	NOUN
fumecheng-4971	11	16	significantly	significantly	ADV
fumecheng-4971	11	17	nonlinear	nonlinear	VERB
fumecheng-4971	11	18	,	,	PUNCT
fumecheng-4971	11	19	the	the	DET
fumecheng-4971	11	20	question	question	NOUN
fumecheng-4971	11	21	arises	arise	VERB
fumecheng-4971	11	22	,	,	PUNCT
fumecheng-4971	11	23	if	if	SCONJ
fumecheng-4971	11	24	using	use	VERB
fumecheng-4971	11	25	just	just	ADV
fumecheng-4971	11	26	one	one	NUM
fumecheng-4971	11	27	eigenshape	eigenshape	NOUN
fumecheng-4971	11	28	of	of	ADP
fumecheng-4971	11	29	the	the	DET
fumecheng-4971	11	30	linear	linear	ADJ
fumecheng-4971	11	31	beam	beam	NOUN
fumecheng-4971	11	32	is	be	AUX
fumecheng-4971	11	33	a	a	DET
fumecheng-4971	11	34	suitable	suitable	ADJ
fumecheng-4971	11	35	approximation	approximation	NOUN
fumecheng-4971	11	36	of	of	ADP
fumecheng-4971	11	37	the	the	DET
fumecheng-4971	11	38	operation	operation	NOUN
fumecheng-4971	11	39	shapes	shape	NOUN
fumecheng-4971	11	40	during	during	ADP
fumecheng-4971	11	41	excited	excited	ADJ
fumecheng-4971	11	42	oscillations	oscillation	NOUN
fumecheng-4971	11	43	even	even	ADV
fumecheng-4971	11	44	in	in	ADP
fumecheng-4971	11	45	the	the	DET
fumecheng-4971	11	46	case	case	NOUN
fumecheng-4971	11	47	of	of	ADP
fumecheng-4971	11	48	harmonic	harmonic	ADJ
fumecheng-4971	11	49	excitation	excitation	NOUN
fumecheng-4971	11	50	.	.	PUNCT
fumecheng-4971	12	1	are	be	AUX
fumecheng-4971	12	2	there	there	PRON
fumecheng-4971	12	3	other	other	ADJ
fumecheng-4971	12	4	,	,	PUNCT
fumecheng-4971	12	5	e.g.	e.g.	ADV
fumecheng-4971	12	6	amplitude	amplitude	NOUN
fumecheng-4971	12	7	dependent	dependent	ADJ
fumecheng-4971	12	8	,	,	PUNCT
fumecheng-4971	12	9	possibilities	possibility	NOUN
fumecheng-4971	12	10	and/or	and/or	CCONJ
fumecheng-4971	12	11	should	should	AUX
fumecheng-4971	12	12	multiple	multiple	ADJ
fumecheng-4971	12	13	ansatz	ansatz	ADJ
fumecheng-4971	12	14	functions	function	NOUN
fumecheng-4971	12	15	be	be	AUX
fumecheng-4971	12	16	considered	consider	VERB
fumecheng-4971	12	17	instead	instead	ADV
fumecheng-4971	12	18	?	?	PUNCT
fumecheng-4971	13	1	in	in	ADP
fumecheng-4971	13	2	this	this	DET
fumecheng-4971	13	3	paper	paper	NOUN
fumecheng-4971	13	4	,	,	PUNCT
fumecheng-4971	13	5	we	we	PRON
fumecheng-4971	13	6	focus	focus	VERB
fumecheng-4971	13	7	mainly	mainly	ADV
fumecheng-4971	13	8	on	on	ADP
fumecheng-4971	13	9	the	the	DET
fumecheng-4971	13	10	second	second	ADJ
fumecheng-4971	13	11	point	point	NOUN
fumecheng-4971	13	12	.	.	PUNCT
fumecheng-4971	14	1	therefore	therefore	ADV
fumecheng-4971	14	2	,	,	PUNCT
fumecheng-4971	14	3	a	a	DET
fumecheng-4971	14	4	bistable	bistable	ADJ
fumecheng-4971	14	5	cantilever	cantilever	NOUN
fumecheng-4971	14	6	beam	beam	NOUN
fumecheng-4971	14	7	with	with	ADP
fumecheng-4971	14	8	harmonic	harmonic	ADJ
fumecheng-4971	14	9	base	base	NOUN
fumecheng-4971	14	10	excitation	excitation	NOUN
fumecheng-4971	14	11	is	be	AUX
fumecheng-4971	14	12	considered	consider	VERB
fumecheng-4971	14	13	and	and	CCONJ
fumecheng-4971	14	14	experimental	experimental	ADJ
fumecheng-4971	14	15	investigations	investigation	NOUN
fumecheng-4971	14	16	of	of	ADP
fumecheng-4971	14	17	operation	operation	NOUN
fumecheng-4971	14	18	shapes	shape	NOUN
fumecheng-4971	14	19	are	be	AUX
fumecheng-4971	14	20	performed	perform	VERB
fumecheng-4971	14	21	using	use	VERB
fumecheng-4971	14	22	a	a	DET
fumecheng-4971	14	23	high	high	ADJ
fumecheng-4971	14	24	-	-	PUNCT
fumecheng-4971	14	25	speed	speed	NOUN
fumecheng-4971	14	26	camera	camera	NOUN
fumecheng-4971	14	27	.	.	PUNCT
fumecheng-4971	15	1	the	the	DET
fumecheng-4971	15	2	observed	observe	VERB
fumecheng-4971	15	3	operation	operation	NOUN
fumecheng-4971	15	4	shapes	shape	NOUN
fumecheng-4971	15	5	are	be	AUX
fumecheng-4971	15	6	expanded	expand	VERB
fumecheng-4971	15	7	in	in	ADP
fumecheng-4971	15	8	a	a	DET
fumecheng-4971	15	9	similar	similar	ADJ
fumecheng-4971	15	10	way	way	NOUN
fumecheng-4971	15	11	as	as	SCONJ
fumecheng-4971	15	12	it	it	PRON
fumecheng-4971	15	13	is	be	AUX
fumecheng-4971	15	14	done	do	VERB
fumecheng-4971	15	15	in	in	ADP
fumecheng-4971	15	16	a	a	DET
fumecheng-4971	15	17	theoretical	theoretical	ADJ
fumecheng-4971	15	18	analysis	analysis	NOUN
fumecheng-4971	15	19	by	by	ADP
fumecheng-4971	15	20	a	a	DET
fumecheng-4971	15	21	corresponding	corresponding	ADJ
fumecheng-4971	15	22	mixed	mixed	ADJ
fumecheng-4971	15	23	ritz	ritz	PROPN
fumecheng-4971	15	24	ansatz	ansatz	NOUN
fumecheng-4971	15	25	.	.	PUNCT
fumecheng-4971	16	1	the	the	DET
fumecheng-4971	16	2	results	result	NOUN
fumecheng-4971	16	3	show	show	VERB
fumecheng-4971	16	4	the	the	DET
fumecheng-4971	16	5	existence	existence	NOUN
fumecheng-4971	16	6	of	of	ADP
fumecheng-4971	16	7	distinct	distinct	ADJ
fumecheng-4971	16	8	superharmonics	superharmonic	NOUN
fumecheng-4971	16	9	(	(	PUNCT
fumecheng-4971	16	10	as	as	SCONJ
fumecheng-4971	16	11	one	one	PRON
fumecheng-4971	16	12	can	can	AUX
fumecheng-4971	16	13	expect	expect	VERB
fumecheng-4971	16	14	for	for	ADP
fumecheng-4971	16	15	a	a	DET
fumecheng-4971	16	16	nonlinear	nonlinear	ADJ
fumecheng-4971	16	17	system	system	NOUN
fumecheng-4971	16	18	)	)	PUNCT
fumecheng-4971	16	19	but	but	CCONJ
fumecheng-4971	16	20	additionally	additionally	ADV
fumecheng-4971	16	21	the	the	DET
fumecheng-4971	16	22	necessity	necessity	NOUN
fumecheng-4971	16	23	to	to	PART
fumecheng-4971	16	24	use	use	VERB
fumecheng-4971	16	25	more	more	ADJ
fumecheng-4971	16	26	than	than	ADP
fumecheng-4971	16	27	one	one	NUM
fumecheng-4971	16	28	shape	shape	NOUN
fumecheng-4971	16	29	function	function	NOUN
fumecheng-4971	16	30	in	in	ADP
fumecheng-4971	16	31	the	the	DET
fumecheng-4971	16	32	discretization	discretization	NOUN
fumecheng-4971	16	33	,	,	PUNCT
fumecheng-4971	16	34	covering	cover	VERB
fumecheng-4971	16	35	also	also	ADV
fumecheng-4971	16	36	the	the	DET
fumecheng-4971	16	37	amplitude	amplitude	NOUN
fumecheng-4971	16	38	dependence	dependence	NOUN
fumecheng-4971	16	39	of	of	ADP
fumecheng-4971	16	40	the	the	DET
fumecheng-4971	16	41	observed	observe	VERB
fumecheng-4971	16	42	operation	operation	NOUN
fumecheng-4971	16	43	shapes	shape	NOUN
fumecheng-4971	16	44	.	.	PUNCT
fumecheng-4971	17	1	key	key	ADJ
fumecheng-4971	17	2	words	word	NOUN
fumecheng-4971	17	3	:	:	PUNCT
fumecheng-4971	17	4	bistable	bistable	ADJ
fumecheng-4971	17	5	beam	beam	NOUN
fumecheng-4971	17	6	,	,	PUNCT
fumecheng-4971	17	7	energy	energy	NOUN
fumecheng-4971	17	8	harvesting	harvesting	NOUN
fumecheng-4971	17	9	,	,	PUNCT
fumecheng-4971	17	10	discretization	discretization	NOUN
fumecheng-4971	17	11	,	,	PUNCT
fumecheng-4971	17	12	vibration	vibration	NOUN
fumecheng-4971	17	13	shape	shape	NOUN
fumecheng-4971	17	14	analysis	analysis	NOUN
fumecheng-4971	17	15	via	via	ADP
fumecheng-4971	17	16	high	high	ADJ
fumecheng-4971	17	17	speed	speed	NOUN
fumecheng-4971	17	18	camera	camera	NOUN
fumecheng-4971	17	19	received	receive	VERB
fumecheng-4971	17	20	march	march	PROPN
fumecheng-4971	17	21	01	01	NUM
fumecheng-4971	17	22	,	,	PUNCT
fumecheng-4971	17	23	2019	2019	NUM
fumecheng-4971	17	24	/	/	SYM
fumecheng-4971	17	25	accepted	accept	VERB
fumecheng-4971	17	26	june	june	PROPN
fumecheng-4971	17	27	20	20	NUM
fumecheng-4971	17	28	,	,	PUNCT
fumecheng-4971	17	29	2019	2019	NUM
fumecheng-4971	17	30	corresponding	correspond	VERB
fumecheng-4971	17	31	author	author	NOUN
fumecheng-4971	17	32	:	:	PUNCT
fumecheng-4971	17	33	max	max	PROPN
fumecheng-4971	17	34	-	-	PUNCT
fumecheng-4971	17	35	uwe	uwe	PROPN
fumecheng-4971	17	36	noll	noll	PROPN
fumecheng-4971	17	37	chair	chair	PROPN
fumecheng-4971	17	38	of	of	ADP
fumecheng-4971	17	39	mechatronics	mechatronic	NOUN
fumecheng-4971	17	40	and	and	CCONJ
fumecheng-4971	17	41	machine	machine	NOUN
fumecheng-4971	17	42	dynamics	dynamic	NOUN
fumecheng-4971	17	43	,	,	PUNCT
fumecheng-4971	17	44	technische	technische	PROPN
fumecheng-4971	17	45	universität	universität	PROPN
fumecheng-4971	17	46	berlin	berlin	PROPN
fumecheng-4971	17	47	,	,	PUNCT
fumecheng-4971	17	48	einsteinufer	einsteinufer	VERB
fumecheng-4971	17	49	5	5	NUM
fumecheng-4971	17	50	,	,	PUNCT
fumecheng-4971	17	51	10587	10587	NUM
fumecheng-4971	17	52	berlin	berlin	PROPN
fumecheng-4971	17	53	e	e	PROPN
fumecheng-4971	17	54	-	-	NOUN
fumecheng-4971	17	55	mail	mail	NOUN
fumecheng-4971	17	56	:	:	PUNCT
fumecheng-4971	17	57	max-uwe.noll@tu-berlin.de	max-uwe.noll@tu-berlin.de	NOUN
fumecheng-4971	17	58	126	126	NUM
fumecheng-4971	17	59	m.-u	m.-u	NOUN
fumecheng-4971	17	60	.	.	PUNCT
fumecheng-4971	18	1	noll	noll	PROPN
fumecheng-4971	18	2	,	,	PUNCT
fumecheng-4971	18	3	l.	l.	PROPN
fumecheng-4971	18	4	lentz	lentz	PROPN
fumecheng-4971	18	5	,	,	PUNCT
fumecheng-4971	18	6	u.v	u.v	PROPN
fumecheng-4971	18	7	.	.	PROPN
fumecheng-4971	18	8	wagner	wagner	PROPN
fumecheng-4971	18	9	1	1	NUM
fumecheng-4971	18	10	.	.	PUNCT
fumecheng-4971	18	11	introduction	introduction	NOUN
fumecheng-4971	18	12	harvesting	harvesting	NOUN
fumecheng-4971	18	13	of	of	ADP
fumecheng-4971	18	14	energy	energy	NOUN
fumecheng-4971	18	15	from	from	ADP
fumecheng-4971	18	16	ambient	ambient	ADJ
fumecheng-4971	18	17	vibrations	vibration	NOUN
fumecheng-4971	18	18	has	have	AUX
fumecheng-4971	18	19	attracted	attract	VERB
fumecheng-4971	18	20	much	much	ADJ
fumecheng-4971	18	21	interest	interest	NOUN
fumecheng-4971	18	22	and	and	CCONJ
fumecheng-4971	18	23	corresponding	correspond	VERB
fumecheng-4971	18	24	research	research	NOUN
fumecheng-4971	18	25	in	in	ADP
fumecheng-4971	18	26	the	the	DET
fumecheng-4971	18	27	past	past	ADJ
fumecheng-4971	18	28	decades	decade	NOUN
fumecheng-4971	18	29	.	.	PUNCT
fumecheng-4971	19	1	a	a	DET
fumecheng-4971	19	2	common	common	ADJ
fumecheng-4971	19	3	method	method	NOUN
fumecheng-4971	19	4	for	for	ADP
fumecheng-4971	19	5	transferring	transfer	VERB
fumecheng-4971	19	6	the	the	DET
fumecheng-4971	19	7	mechanical	mechanical	ADJ
fumecheng-4971	19	8	energy	energy	NOUN
fumecheng-4971	19	9	into	into	ADP
fumecheng-4971	19	10	electric	electric	ADJ
fumecheng-4971	19	11	one	one	NUM
fumecheng-4971	19	12	is	be	AUX
fumecheng-4971	19	13	the	the	DET
fumecheng-4971	19	14	usage	usage	NOUN
fumecheng-4971	19	15	of	of	ADP
fumecheng-4971	19	16	piezoceramics	piezoceramic	NOUN
fumecheng-4971	19	17	fixed	fix	VERB
fumecheng-4971	19	18	on	on	ADP
fumecheng-4971	19	19	corresponding	correspond	VERB
fumecheng-4971	19	20	vibration	vibration	NOUN
fumecheng-4971	19	21	structures	structure	NOUN
fumecheng-4971	19	22	.	.	PUNCT
fumecheng-4971	20	1	a	a	DET
fumecheng-4971	20	2	survey	survey	NOUN
fumecheng-4971	20	3	of	of	ADP
fumecheng-4971	20	4	such	such	ADJ
fumecheng-4971	20	5	systems	system	NOUN
fumecheng-4971	20	6	gives	give	VERB
fumecheng-4971	20	7	,	,	PUNCT
fumecheng-4971	20	8	for	for	ADP
fumecheng-4971	20	9	example	example	NOUN
fumecheng-4971	20	10	,	,	PUNCT
fumecheng-4971	20	11	the	the	DET
fumecheng-4971	20	12	paper	paper	NOUN
fumecheng-4971	21	1	[	[	X
fumecheng-4971	21	2	1	1	NUM
fumecheng-4971	21	3	]	]	PUNCT
fumecheng-4971	21	4	.	.	PUNCT
fumecheng-4971	22	1	the	the	DET
fumecheng-4971	22	2	classical	classical	ADJ
fumecheng-4971	22	3	setup	setup	NOUN
fumecheng-4971	22	4	in	in	ADP
fumecheng-4971	22	5	that	that	DET
fumecheng-4971	22	6	case	case	NOUN
fumecheng-4971	22	7	is	be	AUX
fumecheng-4971	22	8	a	a	DET
fumecheng-4971	22	9	cantilever	cantilever	NOUN
fumecheng-4971	22	10	beam	beam	NOUN
fumecheng-4971	22	11	with	with	ADP
fumecheng-4971	22	12	piezoceramics	piezoceramic	NOUN
fumecheng-4971	22	13	bonded	bond	VERB
fumecheng-4971	22	14	close	close	ADV
fumecheng-4971	22	15	to	to	ADP
fumecheng-4971	22	16	the	the	DET
fumecheng-4971	22	17	clamping	clamping	NOUN
fumecheng-4971	22	18	excited	excite	VERB
fumecheng-4971	22	19	by	by	ADP
fumecheng-4971	22	20	ambient	ambient	ADJ
fumecheng-4971	22	21	base	base	NOUN
fumecheng-4971	22	22	vibrations	vibration	NOUN
fumecheng-4971	22	23	.	.	PUNCT
fumecheng-4971	23	1	these	these	DET
fumecheng-4971	23	2	systems	system	NOUN
fumecheng-4971	23	3	perform	perform	VERB
fumecheng-4971	23	4	well	well	ADV
fumecheng-4971	23	5	when	when	SCONJ
fumecheng-4971	23	6	they	they	PRON
fumecheng-4971	23	7	are	be	AUX
fumecheng-4971	23	8	designed	design	VERB
fumecheng-4971	23	9	as	as	ADP
fumecheng-4971	23	10	a	a	DET
fumecheng-4971	23	11	linear	linear	ADJ
fumecheng-4971	23	12	resonator	resonator	NOUN
fumecheng-4971	23	13	with	with	ADP
fumecheng-4971	23	14	its	its	PRON
fumecheng-4971	23	15	eigenfrequency	eigenfrequency	NOUN
fumecheng-4971	23	16	tuned	tune	VERB
fumecheng-4971	23	17	to	to	ADP
fumecheng-4971	23	18	the	the	DET
fumecheng-4971	23	19	frequency	frequency	NOUN
fumecheng-4971	23	20	of	of	ADP
fumecheng-4971	23	21	the	the	DET
fumecheng-4971	23	22	excitation	excitation	NOUN
fumecheng-4971	23	23	.	.	PUNCT
fumecheng-4971	24	1	a	a	DET
fumecheng-4971	24	2	higher	high	ADJ
fumecheng-4971	24	3	energy	energy	NOUN
fumecheng-4971	24	4	output	output	NOUN
fumecheng-4971	24	5	,	,	PUNCT
fumecheng-4971	24	6	especially	especially	ADV
fumecheng-4971	24	7	for	for	ADP
fumecheng-4971	24	8	broadband	broadband	NOUN
fumecheng-4971	24	9	or	or	CCONJ
fumecheng-4971	24	10	stochastic	stochastic	ADJ
fumecheng-4971	24	11	excitations	excitation	NOUN
fumecheng-4971	24	12	,	,	PUNCT
fumecheng-4971	24	13	can	can	AUX
fumecheng-4971	24	14	be	be	AUX
fumecheng-4971	24	15	realized	realize	VERB
fumecheng-4971	24	16	in	in	ADP
fumecheng-4971	24	17	such	such	ADJ
fumecheng-4971	24	18	systems	system	NOUN
fumecheng-4971	24	19	,	,	PUNCT
fumecheng-4971	24	20	if	if	SCONJ
fumecheng-4971	24	21	nonlinearities	nonlinearitie	NOUN
fumecheng-4971	24	22	are	be	AUX
fumecheng-4971	24	23	introduced	introduce	VERB
fumecheng-4971	24	24	by	by	ADP
fumecheng-4971	24	25	intention	intention	NOUN
fumecheng-4971	24	26	resulting	result	VERB
fumecheng-4971	24	27	in	in	ADP
fumecheng-4971	24	28	a	a	DET
fumecheng-4971	24	29	broadband	broadband	NOUN
fumecheng-4971	24	30	characteristic	characteristic	NOUN
fumecheng-4971	24	31	for	for	ADP
fumecheng-4971	24	32	large	large	ADJ
fumecheng-4971	24	33	responses	response	NOUN
fumecheng-4971	24	34	of	of	ADP
fumecheng-4971	24	35	excited	excited	ADJ
fumecheng-4971	24	36	vibrations	vibration	NOUN
fumecheng-4971	24	37	compared	compare	VERB
fumecheng-4971	24	38	to	to	ADP
fumecheng-4971	24	39	sharp	sharp	ADJ
fumecheng-4971	24	40	resonance	resonance	NOUN
fumecheng-4971	24	41	peaks	peak	NOUN
fumecheng-4971	24	42	of	of	ADP
fumecheng-4971	24	43	the	the	DET
fumecheng-4971	24	44	linear	linear	ADJ
fumecheng-4971	24	45	system	system	NOUN
fumecheng-4971	24	46	[	[	X
fumecheng-4971	24	47	2	2	NUM
fumecheng-4971	24	48	]	]	PUNCT
fumecheng-4971	24	49	.	.	PUNCT
fumecheng-4971	25	1	a	a	DET
fumecheng-4971	25	2	common	common	ADJ
fumecheng-4971	25	3	setup	setup	NOUN
fumecheng-4971	25	4	is	be	AUX
fumecheng-4971	25	5	to	to	PART
fumecheng-4971	25	6	fix	fix	VERB
fumecheng-4971	25	7	two	two	NUM
fumecheng-4971	25	8	magnets	magnet	NOUN
fumecheng-4971	25	9	symmetrically	symmetrically	ADV
fumecheng-4971	25	10	close	close	ADJ
fumecheng-4971	25	11	to	to	ADP
fumecheng-4971	25	12	the	the	DET
fumecheng-4971	25	13	free	free	ADJ
fumecheng-4971	25	14	end	end	NOUN
fumecheng-4971	25	15	of	of	ADP
fumecheng-4971	25	16	the	the	DET
fumecheng-4971	25	17	beam	beam	NOUN
fumecheng-4971	25	18	,	,	PUNCT
fumecheng-4971	25	19	as	as	SCONJ
fumecheng-4971	25	20	shown	show	VERB
fumecheng-4971	25	21	in	in	ADP
fumecheng-4971	25	22	fig	fig	NOUN
fumecheng-4971	25	23	.	.	PUNCT
fumecheng-4971	26	1	1	1	X
fumecheng-4971	26	2	.	.	X
fumecheng-4971	26	3	fig	fig	NOUN
fumecheng-4971	26	4	.	.	PUNCT
fumecheng-4971	27	1	1	1	NUM
fumecheng-4971	27	2	vibrational	vibrational	ADJ
fumecheng-4971	27	3	energy	energy	NOUN
fumecheng-4971	27	4	harvesting	harvesting	NOUN
fumecheng-4971	27	5	system	system	NOUN
fumecheng-4971	27	6	[	[	X
fumecheng-4971	27	7	3	3	X
fumecheng-4971	27	8	]	]	PUNCT
fumecheng-4971	27	9	depending	depend	VERB
fumecheng-4971	27	10	on	on	ADP
fumecheng-4971	27	11	strength	strength	NOUN
fumecheng-4971	27	12	and	and	CCONJ
fumecheng-4971	27	13	position	position	NOUN
fumecheng-4971	27	14	of	of	ADP
fumecheng-4971	27	15	the	the	DET
fumecheng-4971	27	16	magnets	magnet	NOUN
fumecheng-4971	27	17	,	,	PUNCT
fumecheng-4971	27	18	this	this	PRON
fumecheng-4971	27	19	can	can	AUX
fumecheng-4971	27	20	either	either	CCONJ
fumecheng-4971	27	21	result	result	VERB
fumecheng-4971	27	22	in	in	ADP
fumecheng-4971	27	23	a	a	DET
fumecheng-4971	27	24	mono-	mono-	ADJ
fumecheng-4971	27	25	,	,	PUNCT
fumecheng-4971	27	26	bi	bi	NOUN
fumecheng-4971	27	27	or	or	CCONJ
fumecheng-4971	27	28	tristable	tristable	ADJ
fumecheng-4971	27	29	(	(	PUNCT
fumecheng-4971	27	30	e.g.	e.g.	ADV
fumecheng-4971	27	31	[	[	X
fumecheng-4971	27	32	4	4	NUM
fumecheng-4971	27	33	,	,	PUNCT
fumecheng-4971	27	34	5	5	NUM
fumecheng-4971	27	35	,	,	PUNCT
fumecheng-4971	27	36	6	6	NUM
fumecheng-4971	27	37	]	]	PUNCT
fumecheng-4971	27	38	respectively	respectively	ADV
fumecheng-4971	27	39	)	)	PUNCT
fumecheng-4971	27	40	system	system	NOUN
fumecheng-4971	27	41	.	.	PUNCT
fumecheng-4971	28	1	in	in	ADP
fumecheng-4971	28	2	this	this	DET
fumecheng-4971	28	3	paper	paper	NOUN
fumecheng-4971	28	4	we	we	PRON
fumecheng-4971	28	5	investigate	investigate	VERB
fumecheng-4971	28	6	the	the	DET
fumecheng-4971	28	7	bistable	bistable	ADJ
fumecheng-4971	28	8	configuration	configuration	NOUN
fumecheng-4971	28	9	and	and	CCONJ
fumecheng-4971	28	10	focus	focus	VERB
fumecheng-4971	28	11	on	on	ADP
fumecheng-4971	28	12	the	the	DET
fumecheng-4971	28	13	occurring	occur	VERB
fumecheng-4971	28	14	vibration	vibration	NOUN
fumecheng-4971	28	15	shapes	shape	NOUN
fumecheng-4971	28	16	during	during	ADP
fumecheng-4971	28	17	non	non	ADJ
fumecheng-4971	28	18	-	-	ADJ
fumecheng-4971	28	19	chaotic	chaotic	ADJ
fumecheng-4971	28	20	operation	operation	NOUN
fumecheng-4971	28	21	.	.	PUNCT
fumecheng-4971	29	1	in	in	ADP
fumecheng-4971	29	2	that	that	DET
fumecheng-4971	29	3	case	case	NOUN
fumecheng-4971	29	4	,	,	PUNCT
fumecheng-4971	29	5	there	there	PRON
fumecheng-4971	29	6	are	be	VERB
fumecheng-4971	29	7	two	two	NUM
fumecheng-4971	29	8	main	main	ADJ
fumecheng-4971	29	9	types	type	NOUN
fumecheng-4971	29	10	of	of	ADP
fumecheng-4971	29	11	solutions	solution	NOUN
fumecheng-4971	29	12	,	,	PUNCT
fumecheng-4971	29	13	namely	namely	ADV
fumecheng-4971	29	14	so	so	ADV
fumecheng-4971	29	15	-	-	PUNCT
fumecheng-4971	29	16	called	call	VERB
fumecheng-4971	29	17	intrawell	intrawell	NOUN
fumecheng-4971	29	18	solutions	solution	NOUN
fumecheng-4971	29	19	around	around	ADP
fumecheng-4971	29	20	one	one	NUM
fumecheng-4971	29	21	of	of	ADP
fumecheng-4971	29	22	the	the	DET
fumecheng-4971	29	23	two	two	NUM
fumecheng-4971	29	24	stable	stable	ADJ
fumecheng-4971	29	25	equilibrium	equilibrium	NOUN
fumecheng-4971	29	26	positions	position	NOUN
fumecheng-4971	29	27	and	and	CCONJ
fumecheng-4971	29	28	so	so	ADV
fumecheng-4971	29	29	-	-	PUNCT
fumecheng-4971	29	30	called	call	VERB
fumecheng-4971	29	31	interwell	interwell	ADJ
fumecheng-4971	29	32	solution	solution	NOUN
fumecheng-4971	29	33	with	with	ADP
fumecheng-4971	29	34	large	large	ADJ
fumecheng-4971	29	35	displacements	displacement	NOUN
fumecheng-4971	29	36	covering	cover	VERB
fumecheng-4971	29	37	both	both	CCONJ
fumecheng-4971	29	38	stable	stable	ADJ
fumecheng-4971	29	39	equilibrium	equilibrium	NOUN
fumecheng-4971	29	40	positions	position	NOUN
fumecheng-4971	29	41	.	.	PUNCT
fumecheng-4971	30	1	for	for	ADP
fumecheng-4971	30	2	the	the	DET
fumecheng-4971	30	3	modeling	modeling	NOUN
fumecheng-4971	30	4	of	of	ADP
fumecheng-4971	30	5	the	the	DET
fumecheng-4971	30	6	system	system	NOUN
fumecheng-4971	30	7	,	,	PUNCT
fumecheng-4971	30	8	knowledge	knowledge	NOUN
fumecheng-4971	30	9	is	be	AUX
fumecheng-4971	30	10	necessary	necessary	ADJ
fumecheng-4971	30	11	for	for	ADP
fumecheng-4971	30	12	the	the	DET
fumecheng-4971	30	13	discretization	discretization	NOUN
fumecheng-4971	30	14	of	of	ADP
fumecheng-4971	30	15	the	the	DET
fumecheng-4971	30	16	beam	beam	NOUN
fumecheng-4971	30	17	with	with	ADP
fumecheng-4971	30	18	respect	respect	NOUN
fumecheng-4971	30	19	to	to	ADP
fumecheng-4971	30	20	its	its	PRON
fumecheng-4971	30	21	longitudinal	longitudinal	ADJ
fumecheng-4971	30	22	coordinate	coordinate	NOUN
fumecheng-4971	30	23	x	x	NOUN
fumecheng-4971	30	24	,	,	PUNCT
fumecheng-4971	30	25	introducing	introduce	VERB
fumecheng-4971	30	26	a	a	DET
fumecheng-4971	30	27	mixed	mixed	ADJ
fumecheng-4971	30	28	(	(	PUNCT
fumecheng-4971	30	29	dependence	dependence	NOUN
fumecheng-4971	30	30	on	on	ADP
fumecheng-4971	30	31	both	both	PRON
fumecheng-4971	30	32	x	x	NOUN
fumecheng-4971	30	33	and	and	CCONJ
fumecheng-4971	30	34	time	time	NOUN
fumecheng-4971	30	35	t	t	PROPN
fumecheng-4971	30	36	)	)	PUNCT
fumecheng-4971	30	37	ritz	ritz	PROPN
fumecheng-4971	30	38	ansatz	ansatz	VERB
fumecheng-4971	30	39	1	1	NUM
fumecheng-4971	30	40	(	(	PUNCT
fumecheng-4971	30	41	,	,	PUNCT
fumecheng-4971	30	42	)	)	PUNCT
fumecheng-4971	30	43	(	(	PUNCT
fumecheng-4971	30	44	)	)	PUNCT
fumecheng-4971	30	45	(	(	PUNCT
fumecheng-4971	30	46	)	)	PUNCT
fumecheng-4971	31	1	n	n	CCONJ
fumecheng-4971	31	2	i	i	PRON
fumecheng-4971	32	1	i	i	PRON
fumecheng-4971	32	2	i	i	INTJ
fumecheng-4971	32	3	w	w	VERB
fumecheng-4971	32	4	x	x	X
fumecheng-4971	32	5	t	t	PROPN
fumecheng-4971	32	6	w	w	NOUN
fumecheng-4971	32	7	x	x	X
fumecheng-4971	32	8	p	p	PROPN
fumecheng-4971	32	9	t	t	PROPN
fumecheng-4971	32	10			PROPN
fumecheng-4971	32	11			PROPN
fumecheng-4971	32	12	(	(	PUNCT
fumecheng-4971	32	13	1	1	NUM
fumecheng-4971	32	14	)	)	PUNCT
fumecheng-4971	32	15	into	into	ADP
fumecheng-4971	32	16	the	the	DET
fumecheng-4971	32	17	partial	partial	ADJ
fumecheng-4971	32	18	differential	differential	NOUN
fumecheng-4971	32	19	equation	equation	NOUN
fumecheng-4971	32	20	describing	describe	VERB
fumecheng-4971	32	21	the	the	DET
fumecheng-4971	32	22	continuum	continuum	ADJ
fumecheng-4971	32	23	vibrations	vibration	NOUN
fumecheng-4971	32	24	of	of	ADP
fumecheng-4971	32	25	the	the	DET
fumecheng-4971	32	26	beam	beam	NOUN
fumecheng-4971	32	27	.	.	PUNCT
fumecheng-4971	33	1	herein	herein	PROPN
fumecheng-4971	33	2	w(x	w(x	PROPN
fumecheng-4971	33	3	,	,	PUNCT
fumecheng-4971	33	4	t	t	PROPN
fumecheng-4971	33	5	)	)	PUNCT
fumecheng-4971	33	6	is	be	AUX
fumecheng-4971	33	7	the	the	DET
fumecheng-4971	33	8	lateral	lateral	ADJ
fumecheng-4971	33	9	displacement	displacement	NOUN
fumecheng-4971	33	10	of	of	ADP
fumecheng-4971	33	11	the	the	DET
fumecheng-4971	33	12	beam	beam	NOUN
fumecheng-4971	33	13	relatively	relatively	ADV
fumecheng-4971	33	14	to	to	ADP
fumecheng-4971	33	15	the	the	DET
fumecheng-4971	33	16	moving	move	VERB
fumecheng-4971	33	17	frame	frame	NOUN
fumecheng-4971	33	18	and	and	CCONJ
fumecheng-4971	33	19	n	n	DET
fumecheng-4971	33	20	the	the	DET
fumecheng-4971	33	21	chosen	choose	VERB
fumecheng-4971	33	22	ansatz	ansatz	ADJ
fumecheng-4971	33	23	order	order	NOUN
fumecheng-4971	33	24	.	.	PUNCT
fumecheng-4971	34	1	in	in	ADP
fumecheng-4971	34	2	this	this	DET
fumecheng-4971	34	3	ansatz	ansatz	ADJ
fumecheng-4971	34	4	shape	shape	NOUN
fumecheng-4971	34	5	functions	function	NOUN
fumecheng-4971	34	6	wi(x	wi(x	NOUN
fumecheng-4971	34	7	)	)	PUNCT
fumecheng-4971	34	8	shall	shall	AUX
fumecheng-4971	34	9	be	be	AUX
fumecheng-4971	34	10	given	give	VERB
fumecheng-4971	34	11	(	(	PUNCT
fumecheng-4971	34	12	they	they	PRON
fumecheng-4971	34	13	must	must	AUX
fumecheng-4971	34	14	fulfill	fulfill	VERB
fumecheng-4971	34	15	all	all	DET
fumecheng-4971	34	16	the	the	DET
fumecheng-4971	34	17	boundary	boundary	ADJ
fumecheng-4971	34	18	conditions	condition	NOUN
fumecheng-4971	34	19	)	)	PUNCT
fumecheng-4971	34	20	while	while	SCONJ
fumecheng-4971	34	21	functions	function	NOUN
fumecheng-4971	34	22	pi(t	pi(t	NOUN
fumecheng-4971	34	23	)	)	PUNCT
fumecheng-4971	34	24	can	can	AUX
fumecheng-4971	34	25	be	be	AUX
fumecheng-4971	34	26	calculated	calculate	VERB
fumecheng-4971	34	27	from	from	ADP
fumecheng-4971	34	28	the	the	DET
fumecheng-4971	34	29	thereby	thereby	ADV
fumecheng-4971	34	30	discretized	discretized	ADJ
fumecheng-4971	34	31	model	model	NOUN
fumecheng-4971	34	32	equations	equation	NOUN
fumecheng-4971	34	33	e.g.	e.g.	ADV
fumecheng-4971	34	34	by	by	ADP
fumecheng-4971	34	35	harmonic	harmonic	ADJ
fumecheng-4971	34	36	balance	balance	NOUN
fumecheng-4971	34	37	.	.	PUNCT
fumecheng-4971	35	1	this	this	PRON
fumecheng-4971	35	2	let	let	AUX
fumecheng-4971	35	3	arise	arise	VERB
fumecheng-4971	35	4	the	the	DET
fumecheng-4971	35	5	question	question	NOUN
fumecheng-4971	35	6	of	of	ADP
fumecheng-4971	35	7	suitable	suitable	ADJ
fumecheng-4971	35	8	shape	shape	NOUN
fumecheng-4971	35	9	functions	function	NOUN
fumecheng-4971	35	10	wi(x	wi(x	NOUN
fumecheng-4971	35	11	)	)	PUNCT
fumecheng-4971	35	12	and	and	CCONJ
fumecheng-4971	35	13	ansatz	ansatz	ADJ
fumecheng-4971	35	14	orders	order	NOUN
fumecheng-4971	35	15	n.	n.	NOUN
fumecheng-4971	35	16	for	for	ADP
fumecheng-4971	35	17	the	the	DET
fumecheng-4971	35	18	sake	sake	NOUN
fumecheng-4971	35	19	of	of	ADP
fumecheng-4971	35	20	simplicity	simplicity	NOUN
fumecheng-4971	35	21	and	and	CCONJ
fumecheng-4971	35	22	in	in	ADP
fumecheng-4971	35	23	order	order	NOUN
fumecheng-4971	35	24	to	to	PART
fumecheng-4971	35	25	concentrate	concentrate	VERB
fumecheng-4971	35	26	on	on	ADP
fumecheng-4971	35	27	the	the	DET
fumecheng-4971	35	28	question	question	NOUN
fumecheng-4971	35	29	of	of	ADP
fumecheng-4971	35	30	how	how	SCONJ
fumecheng-4971	35	31	to	to	PART
fumecheng-4971	35	32	discretize	discretize	VERB
fumecheng-4971	35	33	a	a	DET
fumecheng-4971	35	34	bistable	bistable	ADJ
fumecheng-4971	35	35	beam	beam	NOUN
fumecheng-4971	35	36	,	,	PUNCT
fumecheng-4971	35	37	the	the	DET
fumecheng-4971	35	38	piezoceramics	piezoceramic	NOUN
fumecheng-4971	35	39	are	be	AUX
fumecheng-4971	35	40	neglected	neglect	VERB
fumecheng-4971	35	41	in	in	ADP
fumecheng-4971	35	42	the	the	DET
fumecheng-4971	35	43	following	following	NOUN
fumecheng-4971	35	44	.	.	PUNCT
fumecheng-4971	36	1	only	only	ADV
fumecheng-4971	36	2	the	the	PRON
fumecheng-4971	36	3	on	on	ADP
fumecheng-4971	36	4	the	the	DET
fumecheng-4971	36	5	discretization	discretization	NOUN
fumecheng-4971	36	6	of	of	ADP
fumecheng-4971	36	7	a	a	DET
fumecheng-4971	36	8	bistable	bistable	ADJ
fumecheng-4971	36	9	cantilever	cantilever	NOUN
fumecheng-4971	36	10	beam	beam	NOUN
fumecheng-4971	36	11	with	with	ADP
fumecheng-4971	36	12	application	application	NOUN
fumecheng-4971	36	13	to	to	ADP
fumecheng-4971	36	14	energy	energy	NOUN
fumecheng-4971	36	15	harvesting	harvesting	NOUN
fumecheng-4971	36	16	127	127	NUM
fumecheng-4971	36	17	setup	setup	NOUN
fumecheng-4971	36	18	of	of	ADP
fumecheng-4971	36	19	the	the	DET
fumecheng-4971	36	20	cantilever	cantilever	NOUN
fumecheng-4971	36	21	beam	beam	NOUN
fumecheng-4971	36	22	with	with	ADP
fumecheng-4971	36	23	magnets	magnet	NOUN
fumecheng-4971	36	24	and	and	CCONJ
fumecheng-4971	36	25	base	base	NOUN
fumecheng-4971	36	26	excitation	excitation	NOUN
fumecheng-4971	36	27	is	be	AUX
fumecheng-4971	36	28	considered	consider	VERB
fumecheng-4971	36	29	.	.	PUNCT
fumecheng-4971	37	1	the	the	DET
fumecheng-4971	37	2	classical	classical	ADJ
fumecheng-4971	37	3	paper	paper	NOUN
fumecheng-4971	37	4	describing	describe	VERB
fumecheng-4971	37	5	a	a	DET
fumecheng-4971	37	6	corresponding	corresponding	ADJ
fumecheng-4971	37	7	modeling	modeling	NOUN
fumecheng-4971	37	8	is	be	AUX
fumecheng-4971	37	9	that	that	PRON
fumecheng-4971	37	10	of	of	ADP
fumecheng-4971	37	11	moon	moon	NOUN
fumecheng-4971	37	12	[	[	X
fumecheng-4971	37	13	7	7	X
fumecheng-4971	37	14	]	]	PUNCT
fumecheng-4971	37	15	discretizing	discretize	VERB
fumecheng-4971	37	16	the	the	DET
fumecheng-4971	37	17	beam	beam	NOUN
fumecheng-4971	37	18	with	with	ADP
fumecheng-4971	37	19	the	the	DET
fumecheng-4971	37	20	first	first	ADJ
fumecheng-4971	37	21	eigenshape	eigenshape	NOUN
fumecheng-4971	37	22	of	of	ADP
fumecheng-4971	37	23	the	the	DET
fumecheng-4971	37	24	linear	linear	PROPN
fumecheng-4971	37	25	euler	euler	PROPN
fumecheng-4971	37	26	-	-	PUNCT
fumecheng-4971	37	27	bernoulli	bernoulli	NOUN
fumecheng-4971	37	28	beam	beam	NOUN
fumecheng-4971	37	29	and	and	CCONJ
fumecheng-4971	37	30	modeling	model	VERB
fumecheng-4971	37	31	the	the	DET
fumecheng-4971	37	32	magnetic	magnetic	ADJ
fumecheng-4971	37	33	forces	force	NOUN
fumecheng-4971	37	34	by	by	ADP
fumecheng-4971	37	35	a	a	DET
fumecheng-4971	37	36	third	third	ADJ
fumecheng-4971	37	37	order	order	NOUN
fumecheng-4971	37	38	polynomial	polynomial	ADJ
fumecheng-4971	37	39	.	.	PUNCT
fumecheng-4971	38	1	this	this	DET
fumecheng-4971	38	2	discretization	discretization	NOUN
fumecheng-4971	38	3	results	result	VERB
fumecheng-4971	38	4	in	in	ADP
fumecheng-4971	38	5	a	a	DET
fumecheng-4971	38	6	duffing	duffing	NOUN
fumecheng-4971	38	7	-	-	PUNCT
fumecheng-4971	38	8	oscillator	oscillator	NOUN
fumecheng-4971	38	9	with	with	ADP
fumecheng-4971	38	10	negative	negative	ADJ
fumecheng-4971	38	11	linear	linear	ADJ
fumecheng-4971	38	12	and	and	CCONJ
fumecheng-4971	38	13	positive	positive	ADJ
fumecheng-4971	38	14	cubic	cubic	ADJ
fumecheng-4971	38	15	restoring	restore	VERB
fumecheng-4971	38	16	term	term	NOUN
fumecheng-4971	38	17	.	.	PUNCT
fumecheng-4971	39	1	most	most	ADJ
fumecheng-4971	39	2	publications	publication	NOUN
fumecheng-4971	39	3	follow	follow	VERB
fumecheng-4971	39	4	this	this	DET
fumecheng-4971	39	5	model	model	NOUN
fumecheng-4971	39	6	when	when	SCONJ
fumecheng-4971	39	7	adding	add	VERB
fumecheng-4971	39	8	the	the	DET
fumecheng-4971	39	9	piezoceramics	piezoceramic	NOUN
fumecheng-4971	39	10	for	for	ADP
fumecheng-4971	39	11	the	the	DET
fumecheng-4971	39	12	energy	energy	NOUN
fumecheng-4971	39	13	harvesting	harvesting	NOUN
fumecheng-4971	39	14	system	system	NOUN
fumecheng-4971	39	15	,	,	PUNCT
fumecheng-4971	39	16	e.g.	e.g.	ADV
fumecheng-4971	39	17	[	[	X
fumecheng-4971	39	18	8	8	NUM
fumecheng-4971	39	19	]	]	PUNCT
fumecheng-4971	39	20	where	where	SCONJ
fumecheng-4971	39	21	it	it	PRON
fumecheng-4971	39	22	was	be	AUX
fumecheng-4971	39	23	shown	show	VERB
fumecheng-4971	39	24	,	,	PUNCT
fumecheng-4971	39	25	that	that	SCONJ
fumecheng-4971	39	26	the	the	DET
fumecheng-4971	39	27	nonlinear	nonlinear	ADJ
fumecheng-4971	39	28	system	system	NOUN
fumecheng-4971	39	29	performs	perform	VERB
fumecheng-4971	39	30	better	well	ADJ
fumecheng-4971	39	31	than	than	ADP
fumecheng-4971	39	32	its	its	PRON
fumecheng-4971	39	33	linear	linear	ADJ
fumecheng-4971	39	34	counterpart	counterpart	NOUN
fumecheng-4971	39	35	for	for	ADP
fumecheng-4971	39	36	a	a	DET
fumecheng-4971	39	37	non	non	ADJ
fumecheng-4971	39	38	-	-	ADJ
fumecheng-4971	39	39	resonant	resonant	ADJ
fumecheng-4971	39	40	excitation	excitation	NOUN
fumecheng-4971	39	41	and	and	CCONJ
fumecheng-4971	39	42	[	[	X
fumecheng-4971	39	43	9	9	NUM
fumecheng-4971	39	44	]	]	PUNCT
fumecheng-4971	39	45	where	where	SCONJ
fumecheng-4971	39	46	the	the	DET
fumecheng-4971	39	47	system	system	NOUN
fumecheng-4971	39	48	was	be	AUX
fumecheng-4971	39	49	analyzed	analyze	VERB
fumecheng-4971	39	50	for	for	ADP
fumecheng-4971	39	51	the	the	DET
fumecheng-4971	39	52	case	case	NOUN
fumecheng-4971	39	53	of	of	ADP
fumecheng-4971	39	54	a	a	DET
fumecheng-4971	39	55	stochastic	stochastic	ADJ
fumecheng-4971	39	56	excitation	excitation	NOUN
fumecheng-4971	39	57	.	.	PUNCT
fumecheng-4971	40	1	publications	publication	NOUN
fumecheng-4971	40	2	using	use	VERB
fumecheng-4971	40	3	more	more	ADJ
fumecheng-4971	40	4	than	than	ADP
fumecheng-4971	40	5	one	one	NUM
fumecheng-4971	40	6	ansatz	ansatz	ADJ
fumecheng-4971	40	7	function	function	NOUN
fumecheng-4971	40	8	are	be	AUX
fumecheng-4971	40	9	very	very	ADV
fumecheng-4971	40	10	rare	rare	ADJ
fumecheng-4971	40	11	.	.	PUNCT
fumecheng-4971	41	1	in	in	ADP
fumecheng-4971	41	2	[	[	X
fumecheng-4971	41	3	10	10	NUM
fumecheng-4971	41	4	]	]	SYM
fumecheng-4971	41	5	multiple	multiple	ADJ
fumecheng-4971	41	6	ansatz	ansatz	ADJ
fumecheng-4971	41	7	functions	function	NOUN
fumecheng-4971	41	8	are	be	AUX
fumecheng-4971	41	9	applied	apply	VERB
fumecheng-4971	41	10	for	for	ADP
fumecheng-4971	41	11	a	a	DET
fumecheng-4971	41	12	buckled	buckle	VERB
fumecheng-4971	41	13	beam	beam	NOUN
fumecheng-4971	41	14	system	system	NOUN
fumecheng-4971	41	15	,	,	PUNCT
fumecheng-4971	41	16	nevertheless	nevertheless	ADV
fumecheng-4971	41	17	ending	end	VERB
fumecheng-4971	41	18	finally	finally	ADV
fumecheng-4971	41	19	up	up	ADV
fumecheng-4971	41	20	again	again	ADV
fumecheng-4971	41	21	with	with	ADP
fumecheng-4971	41	22	a	a	DET
fumecheng-4971	41	23	onedegree	onedegree	NOUN
fumecheng-4971	41	24	of	of	ADP
fumecheng-4971	41	25	freedom	freedom	NOUN
fumecheng-4971	41	26	model	model	NOUN
fumecheng-4971	41	27	.	.	PUNCT
fumecheng-4971	42	1	there	there	PRON
fumecheng-4971	42	2	can	can	AUX
fumecheng-4971	42	3	be	be	AUX
fumecheng-4971	42	4	some	some	DET
fumecheng-4971	42	5	doubts	doubt	NOUN
fumecheng-4971	42	6	about	about	ADP
fumecheng-4971	42	7	the	the	DET
fumecheng-4971	42	8	suitability	suitability	NOUN
fumecheng-4971	42	9	of	of	ADP
fumecheng-4971	42	10	this	this	DET
fumecheng-4971	42	11	discretization	discretization	NOUN
fumecheng-4971	42	12	by	by	ADP
fumecheng-4971	42	13	a	a	DET
fumecheng-4971	42	14	single	single	ADJ
fumecheng-4971	42	15	shape	shape	NOUN
fumecheng-4971	42	16	function	function	NOUN
fumecheng-4971	42	17	mainly	mainly	ADV
fumecheng-4971	42	18	due	due	ADP
fumecheng-4971	42	19	to	to	ADP
fumecheng-4971	42	20	two	two	NUM
fumecheng-4971	42	21	reasons	reason	NOUN
fumecheng-4971	42	22	.	.	PUNCT
fumecheng-4971	43	1	first	first	ADV
fumecheng-4971	43	2	:	:	PUNCT
fumecheng-4971	43	3	in	in	ADP
fumecheng-4971	43	4	the	the	DET
fumecheng-4971	43	5	case	case	NOUN
fumecheng-4971	43	6	of	of	ADP
fumecheng-4971	43	7	stochastic	stochastic	ADJ
fumecheng-4971	43	8	broadband	broadband	NOUN
fumecheng-4971	43	9	excitation	excitation	NOUN
fumecheng-4971	43	10	a	a	DET
fumecheng-4971	43	11	discretization	discretization	NOUN
fumecheng-4971	43	12	,	,	PUNCT
fumecheng-4971	43	13	taking	take	VERB
fumecheng-4971	43	14	into	into	ADP
fumecheng-4971	43	15	consideration	consideration	NOUN
fumecheng-4971	43	16	just	just	ADV
fumecheng-4971	43	17	the	the	DET
fumecheng-4971	43	18	first	first	ADJ
fumecheng-4971	43	19	vibration	vibration	NOUN
fumecheng-4971	43	20	shape	shape	NOUN
fumecheng-4971	43	21	,	,	PUNCT
fumecheng-4971	43	22	seems	seem	VERB
fumecheng-4971	43	23	not	not	PART
fumecheng-4971	43	24	to	to	PART
fumecheng-4971	43	25	be	be	AUX
fumecheng-4971	43	26	reasonable	reasonable	ADJ
fumecheng-4971	43	27	.	.	PUNCT
fumecheng-4971	44	1	therefore	therefore	ADV
fumecheng-4971	44	2	,	,	PUNCT
fumecheng-4971	44	3	the	the	DET
fumecheng-4971	44	4	authors	author	NOUN
fumecheng-4971	44	5	have	have	AUX
fumecheng-4971	44	6	in	in	ADP
fumecheng-4971	44	7	prior	prior	ADJ
fumecheng-4971	44	8	investigations	investigation	NOUN
fumecheng-4971	44	9	[	[	X
fumecheng-4971	44	10	11	11	NUM
fumecheng-4971	44	11	,	,	PUNCT
fumecheng-4971	44	12	12	12	NUM
fumecheng-4971	44	13	]	]	PUNCT
fumecheng-4971	44	14	added	add	VERB
fumecheng-4971	44	15	a	a	DET
fumecheng-4971	44	16	second	second	ADJ
fumecheng-4971	44	17	ansatz	ansatz	ADJ
fumecheng-4971	44	18	function	function	NOUN
fumecheng-4971	44	19	in	in	ADP
fumecheng-4971	44	20	that	that	DET
fumecheng-4971	44	21	way	way	NOUN
fumecheng-4971	44	22	,	,	PUNCT
fumecheng-4971	44	23	that	that	SCONJ
fumecheng-4971	44	24	not	not	PART
fumecheng-4971	44	25	just	just	ADV
fumecheng-4971	44	26	the	the	DET
fumecheng-4971	44	27	first	first	ADJ
fumecheng-4971	44	28	,	,	PUNCT
fumecheng-4971	44	29	but	but	CCONJ
fumecheng-4971	44	30	also	also	ADV
fumecheng-4971	44	31	the	the	DET
fumecheng-4971	44	32	second	second	ADJ
fumecheng-4971	44	33	eigenfunction	eigenfunction	NOUN
fumecheng-4971	44	34	of	of	ADP
fumecheng-4971	44	35	the	the	DET
fumecheng-4971	44	36	linear	linear	ADJ
fumecheng-4971	44	37	beam	beam	NOUN
fumecheng-4971	44	38	is	be	AUX
fumecheng-4971	44	39	considered	consider	VERB
fumecheng-4971	44	40	in	in	ADP
fumecheng-4971	44	41	the	the	DET
fumecheng-4971	44	42	ritz	ritz	PROPN
fumecheng-4971	44	43	ansatz	ansatz	NOUN
fumecheng-4971	44	44	.	.	PUNCT
fumecheng-4971	45	1	second	second	ADV
fumecheng-4971	45	2	:	:	PUNCT
fumecheng-4971	45	3	as	as	SCONJ
fumecheng-4971	45	4	the	the	DET
fumecheng-4971	45	5	undeflected	undeflected	ADJ
fumecheng-4971	45	6	position	position	NOUN
fumecheng-4971	45	7	of	of	ADP
fumecheng-4971	45	8	the	the	DET
fumecheng-4971	45	9	considered	consider	VERB
fumecheng-4971	45	10	system	system	NOUN
fumecheng-4971	45	11	is	be	AUX
fumecheng-4971	45	12	unstable	unstable	ADJ
fumecheng-4971	45	13	and	and	CCONJ
fumecheng-4971	45	14	the	the	DET
fumecheng-4971	45	15	system	system	NOUN
fumecheng-4971	45	16	significantly	significantly	ADV
fumecheng-4971	45	17	nonlinear	nonlinear	VERB
fumecheng-4971	45	18	,	,	PUNCT
fumecheng-4971	45	19	the	the	DET
fumecheng-4971	45	20	question	question	NOUN
fumecheng-4971	45	21	arises	arise	VERB
fumecheng-4971	45	22	if	if	SCONJ
fumecheng-4971	45	23	using	use	VERB
fumecheng-4971	45	24	just	just	ADV
fumecheng-4971	45	25	the	the	DET
fumecheng-4971	45	26	first	first	ADJ
fumecheng-4971	45	27	eigenshape	eigenshape	NOUN
fumecheng-4971	45	28	of	of	ADP
fumecheng-4971	45	29	the	the	DET
fumecheng-4971	45	30	linear	linear	ADJ
fumecheng-4971	45	31	beam	beam	NOUN
fumecheng-4971	45	32	is	be	AUX
fumecheng-4971	45	33	a	a	DET
fumecheng-4971	45	34	suitable	suitable	ADJ
fumecheng-4971	45	35	approximation	approximation	NOUN
fumecheng-4971	45	36	of	of	ADP
fumecheng-4971	45	37	the	the	DET
fumecheng-4971	45	38	operation	operation	NOUN
fumecheng-4971	45	39	shapes	shape	NOUN
fumecheng-4971	45	40	during	during	ADP
fumecheng-4971	45	41	excited	excited	ADJ
fumecheng-4971	45	42	oscillations	oscillation	NOUN
fumecheng-4971	45	43	even	even	ADV
fumecheng-4971	45	44	in	in	ADP
fumecheng-4971	45	45	the	the	DET
fumecheng-4971	45	46	case	case	NOUN
fumecheng-4971	45	47	of	of	ADP
fumecheng-4971	45	48	harmonic	harmonic	ADJ
fumecheng-4971	45	49	excitation	excitation	NOUN
fumecheng-4971	45	50	.	.	PUNCT
fumecheng-4971	46	1	are	be	AUX
fumecheng-4971	46	2	there	there	PRON
fumecheng-4971	46	3	other	other	ADJ
fumecheng-4971	46	4	,	,	PUNCT
fumecheng-4971	46	5	e.g.	e.g.	ADV
fumecheng-4971	46	6	amplitude	amplitude	NOUN
fumecheng-4971	46	7	dependent	dependent	ADJ
fumecheng-4971	46	8	,	,	PUNCT
fumecheng-4971	46	9	possibilities	possibility	NOUN
fumecheng-4971	46	10	and	and	CCONJ
fumecheng-4971	46	11	should	should	AUX
fumecheng-4971	46	12	multiple	multiple	ADJ
fumecheng-4971	46	13	ansatz	ansatz	ADJ
fumecheng-4971	46	14	functions	function	NOUN
fumecheng-4971	46	15	be	be	AUX
fumecheng-4971	46	16	considered	consider	VERB
fumecheng-4971	46	17	instead	instead	ADV
fumecheng-4971	46	18	?	?	PUNCT
fumecheng-4971	47	1	in	in	ADP
fumecheng-4971	47	2	the	the	DET
fumecheng-4971	47	3	work	work	NOUN
fumecheng-4971	47	4	[	[	X
fumecheng-4971	47	5	13	13	NUM
fumecheng-4971	47	6	]	]	PUNCT
fumecheng-4971	47	7	and	and	CCONJ
fumecheng-4971	47	8	[	[	X
fumecheng-4971	47	9	14	14	NUM
fumecheng-4971	47	10	]	]	PUNCT
fumecheng-4971	47	11	this	this	DET
fumecheng-4971	47	12	topic	topic	NOUN
fumecheng-4971	47	13	was	be	AUX
fumecheng-4971	47	14	already	already	ADV
fumecheng-4971	47	15	addressed	address	VERB
fumecheng-4971	47	16	,	,	PUNCT
fumecheng-4971	47	17	and	and	CCONJ
fumecheng-4971	47	18	it	it	PRON
fumecheng-4971	47	19	is	be	AUX
fumecheng-4971	47	20	shown	show	VERB
fumecheng-4971	47	21	how	how	SCONJ
fumecheng-4971	47	22	the	the	DET
fumecheng-4971	47	23	usage	usage	NOUN
fumecheng-4971	47	24	of	of	ADP
fumecheng-4971	47	25	linear	linear	ADJ
fumecheng-4971	47	26	shape	shape	NOUN
fumecheng-4971	47	27	functions	function	NOUN
fumecheng-4971	47	28	leads	lead	VERB
fumecheng-4971	47	29	to	to	ADP
fumecheng-4971	47	30	erroneous	erroneous	ADJ
fumecheng-4971	47	31	results	result	NOUN
fumecheng-4971	47	32	.	.	PUNCT
fumecheng-4971	48	1	furthermore	furthermore	ADV
fumecheng-4971	48	2	,	,	PUNCT
fumecheng-4971	48	3	a	a	DET
fumecheng-4971	48	4	purely	purely	ADV
fumecheng-4971	48	5	theoretical	theoretical	ADJ
fumecheng-4971	48	6	method	method	NOUN
fumecheng-4971	48	7	to	to	PART
fumecheng-4971	48	8	compute	compute	VERB
fumecheng-4971	48	9	nonlinear	nonlinear	ADJ
fumecheng-4971	48	10	,	,	PUNCT
fumecheng-4971	48	11	i.e.	i.e.	X
fumecheng-4971	48	12	amplitude	amplitude	NOUN
fumecheng-4971	48	13	dependent	dependent	ADJ
fumecheng-4971	48	14	shape	shape	NOUN
fumecheng-4971	48	15	functions	function	NOUN
fumecheng-4971	48	16	,	,	PUNCT
fumecheng-4971	48	17	is	be	AUX
fumecheng-4971	48	18	presented	present	VERB
fumecheng-4971	48	19	.	.	PUNCT
fumecheng-4971	49	1	later	later	ADV
fumecheng-4971	49	2	the	the	DET
fumecheng-4971	49	3	concept	concept	NOUN
fumecheng-4971	49	4	of	of	ADP
fumecheng-4971	49	5	nonlinear	nonlinear	ADJ
fumecheng-4971	49	6	normal	normal	ADJ
fumecheng-4971	49	7	-	-	PUNCT
fumecheng-4971	49	8	modes	mode	NOUN
fumecheng-4971	49	9	was	be	AUX
fumecheng-4971	49	10	transferred	transfer	VERB
fumecheng-4971	49	11	to	to	ADP
fumecheng-4971	49	12	the	the	DET
fumecheng-4971	49	13	analysis	analysis	NOUN
fumecheng-4971	49	14	of	of	ADP
fumecheng-4971	49	15	discrete	discrete	ADJ
fumecheng-4971	49	16	nonlinear	nonlinear	ADJ
fumecheng-4971	49	17	systems	system	NOUN
fumecheng-4971	49	18	,	,	PUNCT
fumecheng-4971	49	19	see	see	VERB
fumecheng-4971	49	20	e.g.	e.g.	ADV
fumecheng-4971	49	21	the	the	DET
fumecheng-4971	49	22	review	review	NOUN
fumecheng-4971	49	23	[	[	X
fumecheng-4971	49	24	15	15	NUM
fumecheng-4971	49	25	]	]	PUNCT
fumecheng-4971	49	26	and	and	CCONJ
fumecheng-4971	49	27	the	the	DET
fumecheng-4971	49	28	references	reference	NOUN
fumecheng-4971	49	29	therein	therein	ADV
fumecheng-4971	49	30	.	.	PUNCT
fumecheng-4971	50	1	on	on	ADP
fumecheng-4971	50	2	the	the	DET
fumecheng-4971	50	3	other	other	ADJ
fumecheng-4971	50	4	hand	hand	NOUN
fumecheng-4971	50	5	in	in	ADP
fumecheng-4971	50	6	[	[	X
fumecheng-4971	50	7	16	16	NUM
fumecheng-4971	50	8	]	]	X
fumecheng-4971	50	9	it	it	PRON
fumecheng-4971	50	10	is	be	AUX
fumecheng-4971	50	11	shown	show	VERB
fumecheng-4971	50	12	,	,	PUNCT
fumecheng-4971	50	13	that	that	SCONJ
fumecheng-4971	50	14	for	for	ADP
fumecheng-4971	50	15	a	a	DET
fumecheng-4971	50	16	bistable	bistable	ADJ
fumecheng-4971	50	17	system	system	NOUN
fumecheng-4971	50	18	,	,	PUNCT
fumecheng-4971	50	19	in	in	ADP
fumecheng-4971	50	20	that	that	DET
fumecheng-4971	50	21	case	case	NOUN
fumecheng-4971	50	22	a	a	DET
fumecheng-4971	50	23	buckled	buckled	ADJ
fumecheng-4971	50	24	beam	beam	NOUN
fumecheng-4971	50	25	,	,	PUNCT
fumecheng-4971	50	26	the	the	DET
fumecheng-4971	50	27	two	two	NUM
fumecheng-4971	50	28	first	first	ADJ
fumecheng-4971	50	29	modes	mode	NOUN
fumecheng-4971	50	30	coexist	coexist	VERB
fumecheng-4971	50	31	during	during	ADP
fumecheng-4971	50	32	the	the	DET
fumecheng-4971	50	33	snapping	snapping	NOUN
fumecheng-4971	50	34	process	process	NOUN
fumecheng-4971	50	35	.	.	PUNCT
fumecheng-4971	51	1	in	in	ADP
fumecheng-4971	51	2	[	[	X
fumecheng-4971	51	3	17	17	NUM
fumecheng-4971	51	4	]	]	X
fumecheng-4971	51	5	exact	exact	ADJ
fumecheng-4971	51	6	solutions	solution	NOUN
fumecheng-4971	51	7	of	of	ADP
fumecheng-4971	51	8	postbuckling	postbuckle	VERB
fumecheng-4971	51	9	configurations	configuration	NOUN
fumecheng-4971	51	10	of	of	ADP
fumecheng-4971	51	11	beams	beam	NOUN
fumecheng-4971	51	12	are	be	AUX
fumecheng-4971	51	13	calculated	calculate	VERB
fumecheng-4971	51	14	,	,	PUNCT
fumecheng-4971	51	15	but	but	CCONJ
fumecheng-4971	51	16	also	also	ADV
fumecheng-4971	51	17	the	the	DET
fumecheng-4971	51	18	interaction	interaction	NOUN
fumecheng-4971	51	19	between	between	ADP
fumecheng-4971	51	20	vibration	vibration	NOUN
fumecheng-4971	51	21	modes	mode	NOUN
fumecheng-4971	51	22	is	be	AUX
fumecheng-4971	51	23	shown	show	VERB
fumecheng-4971	51	24	.	.	PUNCT
fumecheng-4971	52	1	nevertheless	nevertheless	ADV
fumecheng-4971	52	2	,	,	PUNCT
fumecheng-4971	52	3	as	as	SCONJ
fumecheng-4971	52	4	already	already	ADV
fumecheng-4971	52	5	mentioned	mention	VERB
fumecheng-4971	52	6	,	,	PUNCT
fumecheng-4971	52	7	it	it	PRON
fumecheng-4971	52	8	is	be	AUX
fumecheng-4971	52	9	state	state	NOUN
fumecheng-4971	52	10	of	of	ADP
fumecheng-4971	52	11	the	the	DET
fumecheng-4971	52	12	art	art	NOUN
fumecheng-4971	52	13	in	in	ADP
fumecheng-4971	52	14	considering	consider	VERB
fumecheng-4971	52	15	energy	energy	NOUN
fumecheng-4971	52	16	harvesting	harvesting	NOUN
fumecheng-4971	52	17	systems	system	NOUN
fumecheng-4971	52	18	to	to	PART
fumecheng-4971	52	19	use	use	VERB
fumecheng-4971	52	20	just	just	ADV
fumecheng-4971	52	21	one	one	NUM
fumecheng-4971	52	22	mode	mode	NOUN
fumecheng-4971	52	23	shape	shape	NOUN
fumecheng-4971	52	24	for	for	ADP
fumecheng-4971	52	25	discretization	discretization	NOUN
fumecheng-4971	52	26	.	.	PUNCT
fumecheng-4971	53	1	an	an	DET
fumecheng-4971	53	2	example	example	NOUN
fumecheng-4971	53	3	for	for	ADP
fumecheng-4971	53	4	this	this	PRON
fumecheng-4971	53	5	is	be	AUX
fumecheng-4971	53	6	[	[	X
fumecheng-4971	53	7	18	18	NUM
fumecheng-4971	53	8	]	]	PUNCT
fumecheng-4971	53	9	,	,	PUNCT
fumecheng-4971	53	10	where	where	SCONJ
fumecheng-4971	53	11	both	both	PRON
fumecheng-4971	53	12	the	the	DET
fumecheng-4971	53	13	buckled	buckle	VERB
fumecheng-4971	53	14	beam	beam	NOUN
fumecheng-4971	53	15	as	as	ADP
fumecheng-4971	53	16	in	in	ADP
fumecheng-4971	53	17	the	the	DET
fumecheng-4971	53	18	two	two	NUM
fumecheng-4971	53	19	papers	paper	NOUN
fumecheng-4971	53	20	mentioned	mention	VERB
fumecheng-4971	53	21	before	before	ADV
fumecheng-4971	53	22	as	as	ADV
fumecheng-4971	53	23	well	well	ADV
fumecheng-4971	53	24	as	as	ADP
fumecheng-4971	53	25	the	the	DET
fumecheng-4971	53	26	bistable	bistable	ADJ
fumecheng-4971	53	27	cantilever	cantilever	NOUN
fumecheng-4971	53	28	beam	beam	NOUN
fumecheng-4971	53	29	,	,	PUNCT
fumecheng-4971	53	30	that	that	PRON
fumecheng-4971	53	31	is	be	AUX
fumecheng-4971	53	32	considered	consider	VERB
fumecheng-4971	53	33	in	in	ADP
fumecheng-4971	53	34	the	the	DET
fumecheng-4971	53	35	actual	actual	ADJ
fumecheng-4971	53	36	paper	paper	NOUN
fumecheng-4971	53	37	,	,	PUNCT
fumecheng-4971	53	38	is	be	AUX
fumecheng-4971	53	39	discretized	discretize	VERB
fumecheng-4971	53	40	by	by	ADP
fumecheng-4971	53	41	a	a	DET
fumecheng-4971	53	42	single	single	ADJ
fumecheng-4971	53	43	degree	degree	NOUN
fumecheng-4971	53	44	of	of	ADP
fumecheng-4971	53	45	freedom	freedom	NOUN
fumecheng-4971	53	46	.	.	PUNCT
fumecheng-4971	54	1	in	in	ADP
fumecheng-4971	54	2	this	this	DET
fumecheng-4971	54	3	paper	paper	NOUN
fumecheng-4971	54	4	,	,	PUNCT
fumecheng-4971	54	5	the	the	DET
fumecheng-4971	54	6	questions	question	NOUN
fumecheng-4971	54	7	,	,	PUNCT
fumecheng-4971	54	8	if	if	SCONJ
fumecheng-4971	54	9	the	the	DET
fumecheng-4971	54	10	mixed	mixed	PROPN
fumecheng-4971	54	11	ritz	ritz	PROPN
fumecheng-4971	54	12	ansatz	ansatz	NOUN
fumecheng-4971	54	13	,	,	PUNCT
fumecheng-4971	54	14	eq	eq	ADJ
fumecheng-4971	54	15	.	.	PUNCT
fumecheng-4971	55	1	(	(	PUNCT
fumecheng-4971	55	2	1	1	NUM
fumecheng-4971	55	3	)	)	PUNCT
fumecheng-4971	55	4	,	,	PUNCT
fumecheng-4971	55	5	gives	give	VERB
fumecheng-4971	55	6	a	a	DET
fumecheng-4971	55	7	suitable	suitable	ADJ
fumecheng-4971	55	8	modeling	modeling	NOUN
fumecheng-4971	55	9	as	as	ADV
fumecheng-4971	55	10	well	well	ADV
fumecheng-4971	55	11	as	as	ADP
fumecheng-4971	55	12	how	how	SCONJ
fumecheng-4971	55	13	many	many	ADJ
fumecheng-4971	55	14	and	and	CCONJ
fumecheng-4971	55	15	which	which	PRON
fumecheng-4971	55	16	ansatz	ansatz	ADJ
fumecheng-4971	55	17	functions	function	NOUN
fumecheng-4971	55	18	should	should	AUX
fumecheng-4971	55	19	be	be	AUX
fumecheng-4971	55	20	used	use	VERB
fumecheng-4971	55	21	,	,	PUNCT
fumecheng-4971	55	22	is	be	AUX
fumecheng-4971	55	23	discussed	discuss	VERB
fumecheng-4971	55	24	in	in	ADP
fumecheng-4971	55	25	the	the	DET
fumecheng-4971	55	26	case	case	NOUN
fumecheng-4971	55	27	of	of	ADP
fumecheng-4971	55	28	harmonic	harmonic	ADJ
fumecheng-4971	55	29	base	base	NOUN
fumecheng-4971	55	30	excitation	excitation	NOUN
fumecheng-4971	55	31	by	by	ADP
fumecheng-4971	55	32	analyzing	analyze	VERB
fumecheng-4971	55	33	experimental	experimental	ADJ
fumecheng-4971	55	34	results	result	NOUN
fumecheng-4971	55	35	.	.	PUNCT
fumecheng-4971	56	1	therefore	therefore	ADV
fumecheng-4971	56	2	,	,	PUNCT
fumecheng-4971	56	3	operation	operation	NOUN
fumecheng-4971	56	4	shapes	shape	NOUN
fumecheng-4971	56	5	have	have	AUX
fumecheng-4971	56	6	been	be	AUX
fumecheng-4971	56	7	captured	capture	VERB
fumecheng-4971	56	8	by	by	ADP
fumecheng-4971	56	9	a	a	DET
fumecheng-4971	56	10	high	high	ADJ
fumecheng-4971	56	11	-	-	PUNCT
fumecheng-4971	56	12	speed	speed	NOUN
fumecheng-4971	56	13	camera	camera	NOUN
fumecheng-4971	56	14	.	.	PUNCT
fumecheng-4971	57	1	the	the	DET
fumecheng-4971	57	2	observed	observe	VERB
fumecheng-4971	57	3	operation	operation	NOUN
fumecheng-4971	57	4	shapes	shape	NOUN
fumecheng-4971	57	5	are	be	AUX
fumecheng-4971	57	6	expanded	expand	VERB
fumecheng-4971	57	7	into	into	ADP
fumecheng-4971	57	8	their	their	PRON
fumecheng-4971	57	9	frequency	frequency	NOUN
fumecheng-4971	57	10	content	content	NOUN
fumecheng-4971	57	11	and	and	CCONJ
fumecheng-4971	57	12	then	then	ADV
fumecheng-4971	57	13	the	the	DET
fumecheng-4971	57	14	vibration	vibration	NOUN
fumecheng-4971	57	15	shape	shape	NOUN
fumecheng-4971	57	16	corresponding	correspond	VERB
fumecheng-4971	57	17	to	to	ADP
fumecheng-4971	57	18	each	each	DET
fumecheng-4971	57	19	frequency	frequency	NOUN
fumecheng-4971	57	20	is	be	AUX
fumecheng-4971	57	21	analyzed	analyze	VERB
fumecheng-4971	57	22	.	.	PUNCT
fumecheng-4971	58	1	2	2	X
fumecheng-4971	58	2	.	.	X
fumecheng-4971	58	3	experimental	experimental	ADJ
fumecheng-4971	58	4	setup	setup	NOUN
fumecheng-4971	58	5	the	the	DET
fumecheng-4971	58	6	chosen	choose	VERB
fumecheng-4971	58	7	setup	setup	NOUN
fumecheng-4971	58	8	for	for	ADP
fumecheng-4971	58	9	the	the	DET
fumecheng-4971	58	10	experimental	experimental	ADJ
fumecheng-4971	58	11	investigations	investigation	NOUN
fumecheng-4971	58	12	is	be	AUX
fumecheng-4971	58	13	shown	show	VERB
fumecheng-4971	58	14	in	in	ADP
fumecheng-4971	58	15	fig	fig	NOUN
fumecheng-4971	58	16	.	.	PUNCT
fumecheng-4971	59	1	2	2	X
fumecheng-4971	59	2	.	.	X
fumecheng-4971	59	3	the	the	DET
fumecheng-4971	59	4	steel	steel	NOUN
fumecheng-4971	59	5	cantilever	cantilever	NOUN
fumecheng-4971	59	6	beam	beam	NOUN
fumecheng-4971	59	7	is	be	AUX
fumecheng-4971	59	8	placed	place	VERB
fumecheng-4971	59	9	in	in	ADP
fumecheng-4971	59	10	an	an	DET
fumecheng-4971	59	11	aluminum	aluminum	NOUN
fumecheng-4971	59	12	frame	frame	NOUN
fumecheng-4971	59	13	excited	excite	VERB
fumecheng-4971	59	14	by	by	ADP
fumecheng-4971	59	15	a	a	DET
fumecheng-4971	59	16	shaker	shaker	NOUN
fumecheng-4971	59	17	and	and	CCONJ
fumecheng-4971	59	18	the	the	DET
fumecheng-4971	59	19	bistability	bistability	NOUN
fumecheng-4971	59	20	is	be	AUX
fumecheng-4971	59	21	realized	realize	VERB
fumecheng-4971	59	22	by	by	ADP
fumecheng-4971	59	23	two	two	NUM
fumecheng-4971	59	24	magnets	magnet	NOUN
fumecheng-4971	59	25	placed	place	VERB
fumecheng-4971	59	26	approximately	approximately	ADV
fumecheng-4971	59	27	symmetrical	symmetrical	ADJ
fumecheng-4971	59	28	to	to	ADP
fumecheng-4971	59	29	the	the	DET
fumecheng-4971	59	30	undeflected	undeflected	ADJ
fumecheng-4971	59	31	position	position	NOUN
fumecheng-4971	59	32	of	of	ADP
fumecheng-4971	59	33	128	128	NUM
fumecheng-4971	59	34	m.-u	m.-u	NOUN
fumecheng-4971	59	35	.	.	PUNCT
fumecheng-4971	60	1	noll	noll	PROPN
fumecheng-4971	60	2	,	,	PUNCT
fumecheng-4971	60	3	l.	l.	PROPN
fumecheng-4971	60	4	lentz	lentz	PROPN
fumecheng-4971	60	5	,	,	PUNCT
fumecheng-4971	60	6	u.v	u.v	PROPN
fumecheng-4971	60	7	.	.	PROPN
fumecheng-4971	60	8	wagner	wagner	PROPN
fumecheng-4971	60	9	the	the	DET
fumecheng-4971	60	10	beam	beam	NOUN
fumecheng-4971	60	11	,	,	PUNCT
fumecheng-4971	60	12	therefore	therefore	ADV
fumecheng-4971	60	13	becoming	become	VERB
fumecheng-4971	60	14	unstable	unstable	ADJ
fumecheng-4971	60	15	.	.	PUNCT
fumecheng-4971	61	1	the	the	DET
fumecheng-4971	61	2	beam	beam	NOUN
fumecheng-4971	61	3	’s	’s	PART
fumecheng-4971	61	4	static	static	ADJ
fumecheng-4971	61	5	deflection	deflection	NOUN
fumecheng-4971	61	6	,	,	PUNCT
fumecheng-4971	61	7	when	when	SCONJ
fumecheng-4971	61	8	there	there	PRON
fumecheng-4971	61	9	is	be	VERB
fumecheng-4971	61	10	no	no	DET
fumecheng-4971	61	11	base	base	NOUN
fumecheng-4971	61	12	excitation	excitation	NOUN
fumecheng-4971	61	13	,	,	PUNCT
fumecheng-4971	61	14	as	as	ADV
fumecheng-4971	61	15	well	well	ADV
fumecheng-4971	61	16	as	as	ADP
fumecheng-4971	61	17	the	the	DET
fumecheng-4971	61	18	dynamic	dynamic	ADJ
fumecheng-4971	61	19	displacement	displacement	NOUN
fumecheng-4971	61	20	of	of	ADP
fumecheng-4971	61	21	the	the	DET
fumecheng-4971	61	22	beam	beam	NOUN
fumecheng-4971	61	23	tip	tip	NOUN
fumecheng-4971	61	24	are	be	AUX
fumecheng-4971	61	25	measured	measure	VERB
fumecheng-4971	61	26	using	use	VERB
fumecheng-4971	61	27	a	a	DET
fumecheng-4971	61	28	laser	laser	NOUN
fumecheng-4971	61	29	triangulation	triangulation	NOUN
fumecheng-4971	61	30	sensor	sensor	NOUN
fumecheng-4971	61	31	which	which	PRON
fumecheng-4971	61	32	is	be	AUX
fumecheng-4971	61	33	attached	attach	VERB
fumecheng-4971	61	34	to	to	ADP
fumecheng-4971	61	35	the	the	DET
fumecheng-4971	61	36	moving	move	VERB
fumecheng-4971	61	37	frame	frame	NOUN
fumecheng-4971	61	38	,	,	PUNCT
fumecheng-4971	61	39	hence	hence	ADV
fumecheng-4971	61	40	directly	directly	ADV
fumecheng-4971	61	41	providing	provide	VERB
fumecheng-4971	61	42	the	the	DET
fumecheng-4971	61	43	relative	relative	ADJ
fumecheng-4971	61	44	displacement	displacement	NOUN
fumecheng-4971	61	45	of	of	ADP
fumecheng-4971	61	46	the	the	DET
fumecheng-4971	61	47	beam	beam	NOUN
fumecheng-4971	61	48	tip	tip	NOUN
fumecheng-4971	61	49	from	from	ADP
fumecheng-4971	61	50	its	its	PRON
fumecheng-4971	61	51	undeflected	undeflected	ADJ
fumecheng-4971	61	52	position	position	NOUN
fumecheng-4971	61	53	without	without	ADP
fumecheng-4971	61	54	the	the	DET
fumecheng-4971	61	55	superposed	superpose	VERB
fumecheng-4971	61	56	movement	movement	NOUN
fumecheng-4971	61	57	of	of	ADP
fumecheng-4971	61	58	the	the	DET
fumecheng-4971	61	59	supporting	support	VERB
fumecheng-4971	61	60	frame	frame	NOUN
fumecheng-4971	61	61	.	.	PUNCT
fumecheng-4971	62	1	the	the	DET
fumecheng-4971	62	2	base	base	ADJ
fumecheng-4971	62	3	excitation	excitation	NOUN
fumecheng-4971	62	4	of	of	ADP
fumecheng-4971	62	5	the	the	DET
fumecheng-4971	62	6	system	system	NOUN
fumecheng-4971	62	7	is	be	AUX
fumecheng-4971	62	8	captured	capture	VERB
fumecheng-4971	62	9	by	by	ADP
fumecheng-4971	62	10	a	a	DET
fumecheng-4971	62	11	(	(	PUNCT
fumecheng-4971	62	12	nonmoving	nonmoving	NOUN
fumecheng-4971	62	13	)	)	PUNCT
fumecheng-4971	62	14	laser	laser	NOUN
fumecheng-4971	62	15	vibrometer	vibrometer	NOUN
fumecheng-4971	62	16	.	.	PUNCT
fumecheng-4971	63	1	laptop	laptop	NOUN
fumecheng-4971	64	1	i	i	PRON
fumecheng-4971	64	2	is	be	AUX
fumecheng-4971	64	3	used	use	VERB
fumecheng-4971	64	4	to	to	PART
fumecheng-4971	64	5	process	process	VERB
fumecheng-4971	64	6	the	the	DET
fumecheng-4971	64	7	data	datum	NOUN
fumecheng-4971	64	8	delivered	deliver	VERB
fumecheng-4971	64	9	by	by	ADP
fumecheng-4971	64	10	these	these	DET
fumecheng-4971	64	11	two	two	NUM
fumecheng-4971	64	12	measurement	measurement	NOUN
fumecheng-4971	64	13	devices	device	NOUN
fumecheng-4971	64	14	with	with	ADP
fumecheng-4971	64	15	the	the	DET
fumecheng-4971	64	16	software	software	NOUN
fumecheng-4971	64	17	package	package	NOUN
fumecheng-4971	64	18	vanalyzer	vanalyzer	NOUN
fumecheng-4971	64	19	.	.	PUNCT
fumecheng-4971	65	1	fig	fig	NOUN
fumecheng-4971	65	2	.	.	PUNCT
fumecheng-4971	66	1	2	2	NUM
fumecheng-4971	66	2	experimental	experimental	ADJ
fumecheng-4971	66	3	setup	setup	NOUN
fumecheng-4971	66	4	with	with	ADP
fumecheng-4971	66	5	bistable	bistable	ADJ
fumecheng-4971	66	6	cantilever	cantilever	NOUN
fumecheng-4971	66	7	beam	beam	NOUN
fumecheng-4971	66	8	excited	excite	VERB
fumecheng-4971	66	9	by	by	ADP
fumecheng-4971	66	10	a	a	DET
fumecheng-4971	66	11	shaker	shaker	NOUN
fumecheng-4971	66	12	(	(	PUNCT
fumecheng-4971	66	13	left	left	ADJ
fumecheng-4971	66	14	)	)	PUNCT
fumecheng-4971	66	15	and	and	CCONJ
fumecheng-4971	66	16	beam	beam	VERB
fumecheng-4971	66	17	with	with	ADP
fumecheng-4971	66	18	magnets	magnet	NOUN
fumecheng-4971	66	19	in	in	ADP
fumecheng-4971	66	20	detail	detail	NOUN
fumecheng-4971	66	21	(	(	PUNCT
fumecheng-4971	66	22	right	right	ADJ
fumecheng-4971	66	23	)	)	PUNCT
fumecheng-4971	67	1	[	[	X
fumecheng-4971	67	2	19	19	NUM
fumecheng-4971	67	3	]	]	X
fumecheng-4971	67	4	laptop	laptop	PROPN
fumecheng-4971	67	5	ii	ii	PROPN
fumecheng-4971	67	6	is	be	AUX
fumecheng-4971	67	7	utilized	utilize	VERB
fumecheng-4971	67	8	to	to	PART
fumecheng-4971	67	9	control	control	VERB
fumecheng-4971	67	10	the	the	DET
fumecheng-4971	67	11	high	high	ADJ
fumecheng-4971	67	12	-	-	PUNCT
fumecheng-4971	67	13	speed	speed	NOUN
fumecheng-4971	67	14	camera	camera	NOUN
fumecheng-4971	67	15	photron	photron	PROPN
fumecheng-4971	67	16	fastcam	fastcam	PROPN
fumecheng-4971	67	17	mini	mini	PROPN
fumecheng-4971	67	18	ax100	ax100	PROPN
fumecheng-4971	67	19	by	by	ADP
fumecheng-4971	67	20	the	the	DET
fumecheng-4971	67	21	software	software	NOUN
fumecheng-4971	67	22	package	package	NOUN
fumecheng-4971	67	23	phontron	phontron	PROPN
fumecheng-4971	67	24	fastcam	fastcam	PROPN
fumecheng-4971	67	25	viewer	viewer	NOUN
fumecheng-4971	67	26	for	for	ADP
fumecheng-4971	67	27	high	high	ADJ
fumecheng-4971	67	28	speed	speed	NOUN
fumecheng-4971	67	29	digital	digital	ADJ
fumecheng-4971	67	30	imaging	imaging	NOUN
fumecheng-4971	67	31	.	.	PUNCT
fumecheng-4971	68	1	the	the	DET
fumecheng-4971	68	2	dimensions	dimension	NOUN
fumecheng-4971	68	3	of	of	ADP
fumecheng-4971	68	4	the	the	DET
fumecheng-4971	68	5	cantilever	cantilever	NOUN
fumecheng-4971	68	6	beam	beam	NOUN
fumecheng-4971	68	7	together	together	ADV
fumecheng-4971	68	8	with	with	ADP
fumecheng-4971	68	9	its	its	PRON
fumecheng-4971	68	10	first	first	ADJ
fumecheng-4971	68	11	natural	natural	ADJ
fumecheng-4971	68	12	frequency	frequency	NOUN
fumecheng-4971	68	13	(	(	PUNCT
fumecheng-4971	68	14	without	without	ADP
fumecheng-4971	68	15	magnets	magnet	NOUN
fumecheng-4971	68	16	)	)	PUNCT
fumecheng-4971	68	17	are	be	AUX
fumecheng-4971	68	18	given	give	VERB
fumecheng-4971	68	19	in	in	ADP
fumecheng-4971	68	20	table	table	NOUN
fumecheng-4971	68	21	1	1	NUM
fumecheng-4971	68	22	.	.	PUNCT
fumecheng-4971	68	23	table	table	NOUN
fumecheng-4971	68	24	1	1	NUM
fumecheng-4971	68	25	properties	property	NOUN
fumecheng-4971	68	26	of	of	ADP
fumecheng-4971	68	27	the	the	DET
fumecheng-4971	68	28	cantilever	cantilever	NOUN
fumecheng-4971	68	29	beam	beam	NOUN
fumecheng-4971	68	30	property	property	NOUN
fumecheng-4971	68	31	value	value	NOUN
fumecheng-4971	68	32	beam	beam	NOUN
fumecheng-4971	68	33	length	length	NOUN
fumecheng-4971	68	34	beam	beam	NOUN
fumecheng-4971	68	35	width	width	ADJ
fumecheng-4971	68	36	beam	beam	NOUN
fumecheng-4971	68	37	thickness	thickness	PROPN
fumecheng-4971	68	38	1st	1st	ADJ
fumecheng-4971	68	39	eigenfrequency	eigenfrequency	NOUN
fumecheng-4971	68	40	250	250	NUM
fumecheng-4971	68	41	mm	mm	NUM
fumecheng-4971	68	42	20	20	NUM
fumecheng-4971	68	43	mm	mm	NOUN
fumecheng-4971	68	44	1	1	NUM
fumecheng-4971	68	45	mm	mm	NOUN
fumecheng-4971	68	46	13.1	13.1	NUM
fumecheng-4971	68	47	hz	hz	VERB
fumecheng-4971	68	48	on	on	ADP
fumecheng-4971	68	49	the	the	DET
fumecheng-4971	68	50	discretization	discretization	NOUN
fumecheng-4971	68	51	of	of	ADP
fumecheng-4971	68	52	a	a	DET
fumecheng-4971	68	53	bistable	bistable	ADJ
fumecheng-4971	68	54	cantilever	cantilever	NOUN
fumecheng-4971	68	55	beam	beam	NOUN
fumecheng-4971	68	56	with	with	ADP
fumecheng-4971	68	57	application	application	NOUN
fumecheng-4971	68	58	to	to	ADP
fumecheng-4971	68	59	energy	energy	NOUN
fumecheng-4971	68	60	harvesting	harvesting	NOUN
fumecheng-4971	68	61	129	129	NUM
fumecheng-4971	68	62	the	the	DET
fumecheng-4971	68	63	magnets	magnet	NOUN
fumecheng-4971	68	64	are	be	AUX
fumecheng-4971	68	65	intended	intend	VERB
fumecheng-4971	68	66	to	to	PART
fumecheng-4971	68	67	be	be	AUX
fumecheng-4971	68	68	placed	place	VERB
fumecheng-4971	68	69	symmetrically	symmetrically	ADV
fumecheng-4971	68	70	with	with	ADP
fumecheng-4971	68	71	respect	respect	NOUN
fumecheng-4971	68	72	to	to	ADP
fumecheng-4971	68	73	the	the	DET
fumecheng-4971	68	74	undeflected	undeflected	ADJ
fumecheng-4971	68	75	position	position	NOUN
fumecheng-4971	68	76	of	of	ADP
fumecheng-4971	68	77	the	the	DET
fumecheng-4971	68	78	beam	beam	NOUN
fumecheng-4971	68	79	in	in	ADP
fumecheng-4971	68	80	order	order	NOUN
fumecheng-4971	68	81	to	to	PART
fumecheng-4971	68	82	realize	realize	VERB
fumecheng-4971	68	83	an	an	DET
fumecheng-4971	68	84	approximately	approximately	ADV
fumecheng-4971	68	85	equal	equal	ADJ
fumecheng-4971	68	86	distance	distance	NOUN
fumecheng-4971	68	87	of	of	ADP
fumecheng-4971	68	88	the	the	DET
fumecheng-4971	68	89	two	two	NUM
fumecheng-4971	68	90	equilibrium	equilibrium	NOUN
fumecheng-4971	68	91	positions	position	NOUN
fumecheng-4971	68	92	from	from	ADP
fumecheng-4971	68	93	the	the	DET
fumecheng-4971	68	94	undeflected	undeflected	ADJ
fumecheng-4971	68	95	beam	beam	NOUN
fumecheng-4971	68	96	position	position	NOUN
fumecheng-4971	68	97	.	.	PUNCT
fumecheng-4971	69	1	the	the	DET
fumecheng-4971	69	2	magnets	magnet	NOUN
fumecheng-4971	69	3	are	be	AUX
fumecheng-4971	69	4	glued	glue	VERB
fumecheng-4971	69	5	to	to	ADP
fumecheng-4971	69	6	a	a	DET
fumecheng-4971	69	7	magnet	magnet	NOUN
fumecheng-4971	69	8	carrier	carrier	NOUN
fumecheng-4971	69	9	,	,	PUNCT
fumecheng-4971	69	10	also	also	ADV
fumecheng-4971	69	11	made	make	VERB
fumecheng-4971	69	12	of	of	ADP
fumecheng-4971	69	13	aluminum	aluminum	NOUN
fumecheng-4971	69	14	,	,	PUNCT
fumecheng-4971	69	15	which	which	PRON
fumecheng-4971	69	16	ensures	ensure	VERB
fumecheng-4971	69	17	a	a	DET
fumecheng-4971	69	18	constant	constant	ADJ
fumecheng-4971	69	19	and	and	CCONJ
fumecheng-4971	69	20	reproducible	reproducible	ADJ
fumecheng-4971	69	21	distance	distance	NOUN
fumecheng-4971	69	22	between	between	ADP
fumecheng-4971	69	23	the	the	DET
fumecheng-4971	69	24	magnets	magnet	NOUN
fumecheng-4971	69	25	of	of	ADP
fumecheng-4971	69	26	approximately	approximately	ADV
fumecheng-4971	69	27	14	14	NUM
fumecheng-4971	69	28	mm	mm	NOUN
fumecheng-4971	69	29	.	.	PUNCT
fumecheng-4971	70	1	the	the	DET
fumecheng-4971	70	2	exact	exact	ADJ
fumecheng-4971	70	3	placement	placement	NOUN
fumecheng-4971	70	4	of	of	ADP
fumecheng-4971	70	5	the	the	DET
fumecheng-4971	70	6	magnet	magnet	NOUN
fumecheng-4971	70	7	carrier	carrier	NOUN
fumecheng-4971	70	8	with	with	ADP
fumecheng-4971	70	9	respect	respect	NOUN
fumecheng-4971	70	10	to	to	ADP
fumecheng-4971	70	11	the	the	DET
fumecheng-4971	70	12	beam	beam	NOUN
fumecheng-4971	70	13	is	be	AUX
fumecheng-4971	70	14	however	however	ADV
fumecheng-4971	70	15	limited	limit	VERB
fumecheng-4971	70	16	by	by	ADP
fumecheng-4971	70	17	the	the	DET
fumecheng-4971	70	18	manual	manual	ADJ
fumecheng-4971	70	19	adjustment	adjustment	NOUN
fumecheng-4971	70	20	of	of	ADP
fumecheng-4971	70	21	the	the	DET
fumecheng-4971	70	22	carrier	carrier	NOUN
fumecheng-4971	70	23	with	with	ADP
fumecheng-4971	70	24	finite	finite	ADJ
fumecheng-4971	70	25	accuracy	accuracy	NOUN
fumecheng-4971	70	26	and	and	CCONJ
fumecheng-4971	70	27	reproducibility	reproducibility	NOUN
fumecheng-4971	70	28	.	.	PUNCT
fumecheng-4971	71	1	the	the	DET
fumecheng-4971	71	2	resulting	result	VERB
fumecheng-4971	71	3	distances	distance	NOUN
fumecheng-4971	71	4	of	of	ADP
fumecheng-4971	71	5	two	two	NUM
fumecheng-4971	71	6	realized	realize	VERB
fumecheng-4971	71	7	experiments	experiment	NOUN
fumecheng-4971	71	8	together	together	ADV
fumecheng-4971	71	9	with	with	ADP
fumecheng-4971	71	10	the	the	DET
fumecheng-4971	71	11	frequencies	frequency	NOUN
fumecheng-4971	71	12	of	of	ADP
fumecheng-4971	71	13	small	small	ADJ
fumecheng-4971	71	14	free	free	ADJ
fumecheng-4971	71	15	vibrations	vibration	NOUN
fumecheng-4971	71	16	around	around	ADP
fumecheng-4971	71	17	the	the	DET
fumecheng-4971	71	18	two	two	NUM
fumecheng-4971	71	19	stable	stable	ADJ
fumecheng-4971	71	20	equilibrium	equilibrium	NOUN
fumecheng-4971	71	21	positions	position	NOUN
fumecheng-4971	71	22	(	(	PUNCT
fumecheng-4971	71	23	intrawell	intrawell	PROPN
fumecheng-4971	71	24	solutions	solution	NOUN
fumecheng-4971	71	25	)	)	PUNCT
fumecheng-4971	71	26	are	be	AUX
fumecheng-4971	71	27	given	give	VERB
fumecheng-4971	71	28	in	in	ADP
fumecheng-4971	71	29	table	table	NOUN
fumecheng-4971	71	30	2	2	NUM
fumecheng-4971	71	31	.	.	PUNCT
fumecheng-4971	71	32	table	table	NOUN
fumecheng-4971	71	33	2	2	NUM
fumecheng-4971	71	34	properties	property	NOUN
fumecheng-4971	71	35	of	of	ADP
fumecheng-4971	71	36	bistable	bistable	ADJ
fumecheng-4971	71	37	beam	beam	NOUN
fumecheng-4971	71	38	configuration	configuration	NOUN
fumecheng-4971	71	39	(	(	PUNCT
fumecheng-4971	71	40	magnet	magnet	NOUN
fumecheng-4971	71	41	distance	distance	NOUN
fumecheng-4971	71	42	approx	approx	PROPN
fumecheng-4971	71	43	.	.	PUNCT
fumecheng-4971	72	1	14	14	NUM
fumecheng-4971	72	2	mm	mm	NOUN
fumecheng-4971	72	3	)	)	PUNCT
fumecheng-4971	72	4	left	leave	VERB
fumecheng-4971	72	5	right	right	ADJ
fumecheng-4971	72	6	setup	setup	NOUN
fumecheng-4971	73	1	i	i	PRON
fumecheng-4971	73	2	(	(	PUNCT
fumecheng-4971	73	3	static	static	ADJ
fumecheng-4971	73	4	experiment	experiment	NOUN
fumecheng-4971	73	5	in	in	ADP
fumecheng-4971	73	6	fig	fig	NOUN
fumecheng-4971	73	7	.	.	PUNCT
fumecheng-4971	74	1	6	6	NUM
fumecheng-4971	74	2	)	)	PUNCT
fumecheng-4971	74	3	equilibrium	equilibrium	NOUN
fumecheng-4971	74	4	position	position	NOUN
fumecheng-4971	74	5	frequency	frequency	NOUN
fumecheng-4971	74	6	setup	setup	NOUN
fumecheng-4971	74	7	ii	ii	PROPN
fumecheng-4971	74	8	(	(	PUNCT
fumecheng-4971	74	9	dynamic	dynamic	ADJ
fumecheng-4971	74	10	experiments	experiment	NOUN
fumecheng-4971	74	11	)	)	PUNCT
fumecheng-4971	74	12	equilibrium	equilibrium	NOUN
fumecheng-4971	74	13	position	position	NOUN
fumecheng-4971	74	14	-6.91	-6.91	INTJ
fumecheng-4971	74	15	mm	mm	INTJ
fumecheng-4971	74	16	15.1	15.1	NUM
fumecheng-4971	74	17	hz	hz	VERB
fumecheng-4971	74	18	-7.01	-7.01	NUM
fumecheng-4971	74	19	mm	mm	PROPN
fumecheng-4971	74	20	7.13	7.13	NUM
fumecheng-4971	74	21	mm	mm	INTJ
fumecheng-4971	74	22	14.5	14.5	NUM
fumecheng-4971	74	23	hz	hz	VERB
fumecheng-4971	74	24	7.40	7.40	NUM
fumecheng-4971	74	25	mm	mm	PROPN
fumecheng-4971	74	26	frequency	frequency	NOUN
fumecheng-4971	74	27	16.0	16.0	NUM
fumecheng-4971	74	28	hz	hz	VERB
fumecheng-4971	74	29	16.0	16.0	NUM
fumecheng-4971	74	30	hz	hz	VERB
fumecheng-4971	74	31	a	a	DET
fumecheng-4971	74	32	paper	paper	NOUN
fumecheng-4971	74	33	stripe	stripe	NOUN
fumecheng-4971	74	34	with	with	ADP
fumecheng-4971	74	35	geometry	geometry	NOUN
fumecheng-4971	74	36	given	give	VERB
fumecheng-4971	74	37	in	in	ADP
fumecheng-4971	74	38	fig	fig	NOUN
fumecheng-4971	74	39	.	.	PUNCT
fumecheng-4971	75	1	3	3	NUM
fumecheng-4971	75	2	is	be	AUX
fumecheng-4971	75	3	attached	attach	VERB
fumecheng-4971	75	4	to	to	ADP
fumecheng-4971	75	5	the	the	DET
fumecheng-4971	75	6	front	front	ADJ
fumecheng-4971	75	7	side	side	NOUN
fumecheng-4971	75	8	of	of	ADP
fumecheng-4971	75	9	the	the	DET
fumecheng-4971	75	10	beam	beam	NOUN
fumecheng-4971	75	11	.	.	PUNCT
fumecheng-4971	76	1	the	the	DET
fumecheng-4971	76	2	beam	beam	NOUN
fumecheng-4971	76	3	itself	itself	PRON
fumecheng-4971	76	4	has	have	VERB
fumecheng-4971	76	5	a	a	DET
fumecheng-4971	76	6	thickness	thickness	NOUN
fumecheng-4971	76	7	of	of	ADP
fumecheng-4971	76	8	one	one	NUM
fumecheng-4971	76	9	millimeter	millimeter	NOUN
fumecheng-4971	76	10	,	,	PUNCT
fumecheng-4971	76	11	but	but	CCONJ
fumecheng-4971	76	12	for	for	ADP
fumecheng-4971	76	13	a	a	DET
fumecheng-4971	76	14	higher	high	ADJ
fumecheng-4971	76	15	detection	detection	NOUN
fumecheng-4971	76	16	rate	rate	NOUN
fumecheng-4971	76	17	of	of	ADP
fumecheng-4971	76	18	the	the	DET
fumecheng-4971	76	19	markers	marker	NOUN
fumecheng-4971	76	20	their	their	PRON
fumecheng-4971	76	21	size	size	NOUN
fumecheng-4971	76	22	is	be	AUX
fumecheng-4971	76	23	chosen	choose	VERB
fumecheng-4971	76	24	to	to	PART
fumecheng-4971	76	25	be	be	AUX
fumecheng-4971	76	26	two	two	NUM
fumecheng-4971	76	27	millimeters	millimeter	NOUN
fumecheng-4971	76	28	in	in	ADP
fumecheng-4971	76	29	diameter	diameter	NOUN
fumecheng-4971	76	30	on	on	ADP
fumecheng-4971	76	31	an	an	DET
fumecheng-4971	76	32	all	all	ADV
fumecheng-4971	76	33	-	-	PUNCT
fumecheng-4971	76	34	black	black	ADJ
fumecheng-4971	76	35	background	background	NOUN
fumecheng-4971	76	36	of	of	ADP
fumecheng-4971	76	37	the	the	DET
fumecheng-4971	76	38	three	three	NUM
fumecheng-4971	76	39	millimeters	millimeter	NOUN
fumecheng-4971	76	40	wide	wide	ADJ
fumecheng-4971	76	41	paper	paper	NOUN
fumecheng-4971	76	42	stripe	stripe	NOUN
fumecheng-4971	76	43	,	,	PUNCT
fumecheng-4971	76	44	which	which	PRON
fumecheng-4971	76	45	therefore	therefore	ADV
fumecheng-4971	76	46	exceeds	exceed	VERB
fumecheng-4971	76	47	the	the	DET
fumecheng-4971	76	48	thickness	thickness	NOUN
fumecheng-4971	76	49	of	of	ADP
fumecheng-4971	76	50	the	the	DET
fumecheng-4971	76	51	beam	beam	NOUN
fumecheng-4971	76	52	.	.	PUNCT
fumecheng-4971	77	1	fig	fig	NOUN
fumecheng-4971	77	2	.	.	PUNCT
fumecheng-4971	78	1	3	3	NUM
fumecheng-4971	78	2	geometry	geometry	NOUN
fumecheng-4971	78	3	of	of	ADP
fumecheng-4971	78	4	marker	marker	NOUN
fumecheng-4971	78	5	stripe	stripe	NOUN
fumecheng-4971	78	6	the	the	DET
fumecheng-4971	78	7	camera	camera	NOUN
fumecheng-4971	78	8	was	be	AUX
fumecheng-4971	78	9	positioned	position	VERB
fumecheng-4971	78	10	manually	manually	ADV
fumecheng-4971	78	11	in	in	ADP
fumecheng-4971	78	12	front	front	NOUN
fumecheng-4971	78	13	of	of	ADP
fumecheng-4971	78	14	the	the	DET
fumecheng-4971	78	15	beam	beam	NOUN
fumecheng-4971	78	16	setup	setup	NOUN
fumecheng-4971	78	17	with	with	ADP
fumecheng-4971	78	18	three	three	NUM
fumecheng-4971	78	19	goals	goal	NOUN
fumecheng-4971	78	20	regarding	regard	VERB
fumecheng-4971	78	21	its	its	PRON
fumecheng-4971	78	22	arrangement	arrangement	NOUN
fumecheng-4971	78	23	.	.	PUNCT
fumecheng-4971	79	1	first	first	ADV
fumecheng-4971	79	2	:	:	PUNCT
fumecheng-4971	79	3	the	the	DET
fumecheng-4971	79	4	camera	camera	NOUN
fumecheng-4971	79	5	was	be	AUX
fumecheng-4971	79	6	orientated	orientate	VERB
fumecheng-4971	79	7	orthogonal	orthogonal	ADJ
fumecheng-4971	79	8	to	to	ADP
fumecheng-4971	79	9	the	the	DET
fumecheng-4971	79	10	beam	beam	NOUN
fumecheng-4971	79	11	’s	’s	PART
fumecheng-4971	79	12	plane	plane	NOUN
fumecheng-4971	79	13	of	of	ADP
fumecheng-4971	79	14	motion	motion	NOUN
fumecheng-4971	79	15	.	.	PUNCT
fumecheng-4971	80	1	second	second	ADV
fumecheng-4971	80	2	:	:	PUNCT
fumecheng-4971	80	3	the	the	DET
fumecheng-4971	80	4	camera	camera	NOUN
fumecheng-4971	80	5	was	be	AUX
fumecheng-4971	80	6	placed	place	VERB
fumecheng-4971	80	7	as	as	ADV
fumecheng-4971	80	8	far	far	ADV
fumecheng-4971	80	9	as	as	ADP
fumecheng-4971	80	10	possible	possible	ADJ
fumecheng-4971	80	11	from	from	ADP
fumecheng-4971	80	12	the	the	DET
fumecheng-4971	80	13	beam	beam	NOUN
fumecheng-4971	80	14	to	to	PART
fumecheng-4971	80	15	reduce	reduce	VERB
fumecheng-4971	80	16	errors	error	NOUN
fumecheng-4971	80	17	due	due	ADP
fumecheng-4971	80	18	to	to	ADP
fumecheng-4971	80	19	perspective	perspective	ADJ
fumecheng-4971	80	20	influences	influence	NOUN
fumecheng-4971	80	21	.	.	PUNCT
fumecheng-4971	81	1	third	third	ADV
fumecheng-4971	81	2	:	:	PUNCT
fumecheng-4971	81	3	the	the	DET
fumecheng-4971	81	4	camera	camera	NOUN
fumecheng-4971	81	5	was	be	AUX
fumecheng-4971	81	6	placed	place	VERB
fumecheng-4971	81	7	as	as	ADV
fumecheng-4971	81	8	close	close	ADJ
fumecheng-4971	81	9	as	as	SCONJ
fumecheng-4971	81	10	needed	need	VERB
fumecheng-4971	81	11	so	so	SCONJ
fumecheng-4971	81	12	that	that	SCONJ
fumecheng-4971	81	13	the	the	DET
fumecheng-4971	81	14	beam	beam	NOUN
fumecheng-4971	81	15	took	take	VERB
fumecheng-4971	81	16	up	up	ADP
fumecheng-4971	81	17	almost	almost	ADV
fumecheng-4971	81	18	the	the	DET
fumecheng-4971	81	19	full	full	ADJ
fumecheng-4971	81	20	height	height	NOUN
fumecheng-4971	81	21	of	of	ADP
fumecheng-4971	81	22	the	the	DET
fumecheng-4971	81	23	pictures	picture	NOUN
fumecheng-4971	81	24	in	in	ADP
fumecheng-4971	81	25	order	order	NOUN
fumecheng-4971	81	26	to	to	PART
fumecheng-4971	81	27	use	use	VERB
fumecheng-4971	81	28	the	the	DET
fumecheng-4971	81	29	full	full	ADJ
fumecheng-4971	81	30	resolution	resolution	NOUN
fumecheng-4971	81	31	to	to	PART
fumecheng-4971	81	32	capture	capture	VERB
fumecheng-4971	81	33	each	each	DET
fumecheng-4971	81	34	marker	marker	NOUN
fumecheng-4971	81	35	.	.	PUNCT
fumecheng-4971	82	1	the	the	DET
fumecheng-4971	82	2	camera	camera	NOUN
fumecheng-4971	82	3	is	be	AUX
fumecheng-4971	82	4	taking	take	VERB
fumecheng-4971	82	5	monochrome	monochrome	NOUN
fumecheng-4971	82	6	black	black	ADJ
fumecheng-4971	82	7	and	and	CCONJ
fumecheng-4971	82	8	white	white	ADJ
fumecheng-4971	82	9	videos	video	NOUN
fumecheng-4971	82	10	with	with	ADP
fumecheng-4971	82	11	a	a	DET
fumecheng-4971	82	12	frame	frame	NOUN
fumecheng-4971	82	13	rate	rate	NOUN
fumecheng-4971	82	14	of	of	ADP
fumecheng-4971	82	15	4000	4000	NUM
fumecheng-4971	82	16	frames	frame	NOUN
fumecheng-4971	82	17	per	per	ADP
fumecheng-4971	82	18	second	second	NOUN
fumecheng-4971	82	19	and	and	CCONJ
fumecheng-4971	82	20	each	each	DET
fumecheng-4971	82	21	frame	frame	NOUN
fumecheng-4971	82	22	has	have	VERB
fumecheng-4971	82	23	a	a	DET
fumecheng-4971	82	24	resolution	resolution	NOUN
fumecheng-4971	82	25	of	of	ADP
fumecheng-4971	82	26	384×944	384×944	NUM
fumecheng-4971	82	27	pixels	pixel	NOUN
fumecheng-4971	82	28	.	.	PUNCT
fumecheng-4971	83	1	each	each	DET
fumecheng-4971	83	2	video	video	NOUN
fumecheng-4971	83	3	has	have	VERB
fumecheng-4971	83	4	a	a	DET
fumecheng-4971	83	5	duration	duration	NOUN
fumecheng-4971	83	6	of	of	ADP
fumecheng-4971	83	7	at	at	ADV
fumecheng-4971	83	8	least	least	ADV
fumecheng-4971	83	9	one	one	NUM
fumecheng-4971	83	10	second	second	NOUN
fumecheng-4971	83	11	.	.	PUNCT
fumecheng-4971	84	1	to	to	PART
fumecheng-4971	84	2	further	far	ADV
fumecheng-4971	84	3	reduce	reduce	VERB
fumecheng-4971	84	4	the	the	DET
fumecheng-4971	84	5	amount	amount	NOUN
fumecheng-4971	84	6	of	of	ADP
fumecheng-4971	84	7	data	datum	NOUN
fumecheng-4971	84	8	and	and	CCONJ
fumecheng-4971	84	9	processing	processing	NOUN
fumecheng-4971	84	10	time	time	NOUN
fumecheng-4971	84	11	only	only	ADV
fumecheng-4971	84	12	every	every	DET
fumecheng-4971	84	13	second	second	ADJ
fumecheng-4971	84	14	frame	frame	NOUN
fumecheng-4971	84	15	was	be	AUX
fumecheng-4971	84	16	considered	consider	VERB
fumecheng-4971	84	17	for	for	ADP
fumecheng-4971	84	18	further	further	ADJ
fumecheng-4971	84	19	evaluation	evaluation	NOUN
fumecheng-4971	84	20	.	.	PUNCT
fumecheng-4971	85	1	the	the	DET
fumecheng-4971	85	2	authors	author	NOUN
fumecheng-4971	85	3	are	be	AUX
fumecheng-4971	85	4	aware	aware	ADJ
fumecheng-4971	85	5	that	that	SCONJ
fumecheng-4971	85	6	taking	take	VERB
fumecheng-4971	85	7	a	a	DET
fumecheng-4971	85	8	picture	picture	NOUN
fumecheng-4971	85	9	is	be	AUX
fumecheng-4971	85	10	a	a	DET
fumecheng-4971	85	11	sampling	sampling	NOUN
fumecheng-4971	85	12	like	like	ADP
fumecheng-4971	85	13	process	process	NOUN
fumecheng-4971	85	14	of	of	ADP
fumecheng-4971	85	15	the	the	DET
fumecheng-4971	85	16	time	time	NOUN
fumecheng-4971	85	17	continuous	continuous	ADJ
fumecheng-4971	85	18	movement	movement	NOUN
fumecheng-4971	85	19	of	of	ADP
fumecheng-4971	85	20	the	the	DET
fumecheng-4971	85	21	markers	marker	NOUN
fumecheng-4971	85	22	.	.	PUNCT
fumecheng-4971	86	1	that	that	PRON
fumecheng-4971	86	2	means	mean	VERB
fumecheng-4971	86	3	that	that	SCONJ
fumecheng-4971	86	4	not	not	PART
fumecheng-4971	86	5	only	only	ADV
fumecheng-4971	86	6	the	the	DET
fumecheng-4971	86	7	sampling	sample	VERB
fumecheng-4971	86	8	rate	rate	NOUN
fumecheng-4971	86	9	needs	need	VERB
fumecheng-4971	86	10	to	to	PART
fumecheng-4971	86	11	be	be	AUX
fumecheng-4971	86	12	at	at	ADP
fumecheng-4971	86	13	least	least	ADV
fumecheng-4971	86	14	two	two	NUM
fumecheng-4971	86	15	times	time	NOUN
fumecheng-4971	86	16	the	the	DET
fumecheng-4971	86	17	highest	high	ADJ
fumecheng-4971	86	18	frequency	frequency	NOUN
fumecheng-4971	86	19	that	that	PRON
fumecheng-4971	86	20	is	be	AUX
fumecheng-4971	86	21	expected	expect	VERB
fumecheng-4971	86	22	to	to	PART
fumecheng-4971	86	23	be	be	AUX
fumecheng-4971	86	24	occurring	occur	VERB
fumecheng-4971	86	25	in	in	ADP
fumecheng-4971	86	26	the	the	DET
fumecheng-4971	86	27	measured	measure	VERB
fumecheng-4971	86	28	signal	signal	NOUN
fumecheng-4971	86	29	(	(	PUNCT
fumecheng-4971	86	30	nyquist	nyquist	NOUN
fumecheng-4971	86	31	criteria	criterion	NOUN
fumecheng-4971	86	32	)	)	PUNCT
fumecheng-4971	86	33	,	,	PUNCT
fumecheng-4971	86	34	but	but	CCONJ
fumecheng-4971	86	35	130	130	NUM
fumecheng-4971	86	36	m.-u	m.-u	NOUN
fumecheng-4971	86	37	.	.	PUNCT
fumecheng-4971	87	1	noll	noll	PROPN
fumecheng-4971	87	2	,	,	PUNCT
fumecheng-4971	87	3	l.	l.	PROPN
fumecheng-4971	87	4	lentz	lentz	PROPN
fumecheng-4971	87	5	,	,	PUNCT
fumecheng-4971	87	6	u.v	u.v	PROPN
fumecheng-4971	87	7	.	.	PROPN
fumecheng-4971	87	8	wagner	wagner	PROPN
fumecheng-4971	87	9	also	also	ADV
fumecheng-4971	87	10	needs	need	VERB
fumecheng-4971	87	11	to	to	PART
fumecheng-4971	87	12	be	be	AUX
fumecheng-4971	87	13	filtered	filter	VERB
fumecheng-4971	87	14	for	for	ADP
fumecheng-4971	87	15	even	even	ADV
fumecheng-4971	87	16	higher	high	ADJ
fumecheng-4971	87	17	frequencies	frequency	NOUN
fumecheng-4971	87	18	to	to	PART
fumecheng-4971	87	19	prevent	prevent	VERB
fumecheng-4971	87	20	aliasing	aliasing	NOUN
fumecheng-4971	87	21	effects	effect	NOUN
fumecheng-4971	87	22	.	.	PUNCT
fumecheng-4971	88	1	since	since	SCONJ
fumecheng-4971	88	2	there	there	PRON
fumecheng-4971	88	3	is	be	VERB
fumecheng-4971	88	4	no	no	DET
fumecheng-4971	88	5	possible	possible	ADJ
fumecheng-4971	88	6	way	way	NOUN
fumecheng-4971	88	7	to	to	PART
fumecheng-4971	88	8	filter	filter	VERB
fumecheng-4971	88	9	these	these	DET
fumecheng-4971	88	10	analog	analog	NOUN
fumecheng-4971	88	11	signals	signal	NOUN
fumecheng-4971	88	12	,	,	PUNCT
fumecheng-4971	88	13	we	we	PRON
fumecheng-4971	88	14	have	have	AUX
fumecheng-4971	88	15	checked	check	VERB
fumecheng-4971	88	16	the	the	DET
fumecheng-4971	88	17	results	result	NOUN
fumecheng-4971	88	18	from	from	ADP
fumecheng-4971	88	19	the	the	DET
fumecheng-4971	88	20	digital	digital	ADJ
fumecheng-4971	88	21	image	image	NOUN
fumecheng-4971	88	22	analysis	analysis	NOUN
fumecheng-4971	88	23	to	to	ADP
fumecheng-4971	88	24	the	the	DET
fumecheng-4971	88	25	frequencies	frequency	NOUN
fumecheng-4971	88	26	determined	determine	VERB
fumecheng-4971	88	27	by	by	ADP
fumecheng-4971	88	28	the	the	DET
fumecheng-4971	88	29	laser	laser	NOUN
fumecheng-4971	88	30	triangulation	triangulation	NOUN
fumecheng-4971	88	31	sensor	sensor	NOUN
fumecheng-4971	88	32	,	,	PUNCT
fumecheng-4971	88	33	for	for	ADP
fumecheng-4971	88	34	which	which	PRON
fumecheng-4971	88	35	the	the	DET
fumecheng-4971	88	36	signal	signal	NOUN
fumecheng-4971	88	37	has	have	AUX
fumecheng-4971	88	38	been	be	AUX
fumecheng-4971	88	39	aliasing	aliasing	AUX
fumecheng-4971	88	40	filtered	filter	VERB
fumecheng-4971	88	41	properly	properly	ADV
fumecheng-4971	88	42	before	before	ADP
fumecheng-4971	88	43	sampling	sample	VERB
fumecheng-4971	88	44	.	.	PUNCT
fumecheng-4971	89	1	both	both	DET
fumecheng-4971	89	2	results	result	NOUN
fumecheng-4971	89	3	are	be	AUX
fumecheng-4971	89	4	in	in	ADP
fumecheng-4971	89	5	good	good	ADJ
fumecheng-4971	89	6	accordance	accordance	NOUN
fumecheng-4971	89	7	with	with	ADP
fumecheng-4971	89	8	each	each	DET
fumecheng-4971	89	9	other	other	ADJ
fumecheng-4971	89	10	.	.	PUNCT
fumecheng-4971	90	1	the	the	DET
fumecheng-4971	90	2	very	very	ADV
fumecheng-4971	90	3	first	first	ADJ
fumecheng-4971	90	4	frame	frame	NOUN
fumecheng-4971	90	5	of	of	ADP
fumecheng-4971	90	6	each	each	DET
fumecheng-4971	90	7	video	video	NOUN
fumecheng-4971	90	8	is	be	AUX
fumecheng-4971	90	9	replaced	replace	VERB
fumecheng-4971	90	10	by	by	ADP
fumecheng-4971	90	11	a	a	DET
fumecheng-4971	90	12	frame	frame	NOUN
fumecheng-4971	90	13	showing	show	VERB
fumecheng-4971	90	14	the	the	DET
fumecheng-4971	90	15	static	static	ADJ
fumecheng-4971	90	16	,	,	PUNCT
fumecheng-4971	90	17	undeflected	undeflected	ADJ
fumecheng-4971	90	18	beam	beam	NOUN
fumecheng-4971	90	19	without	without	ADP
fumecheng-4971	90	20	magnets	magnet	NOUN
fumecheng-4971	90	21	(	(	PUNCT
fumecheng-4971	90	22	fig	fig	NOUN
fumecheng-4971	90	23	.	.	PUNCT
fumecheng-4971	91	1	4	4	NUM
fumecheng-4971	91	2	(	(	PUNCT
fumecheng-4971	91	3	left	leave	VERB
fumecheng-4971	91	4	)	)	PUNCT
fumecheng-4971	91	5	)	)	PUNCT
fumecheng-4971	91	6	,	,	PUNCT
fumecheng-4971	91	7	which	which	PRON
fumecheng-4971	91	8	was	be	AUX
fumecheng-4971	91	9	taken	take	VERB
fumecheng-4971	91	10	before	before	SCONJ
fumecheng-4971	91	11	the	the	DET
fumecheng-4971	91	12	magnets	magnet	NOUN
fumecheng-4971	91	13	were	be	AUX
fumecheng-4971	91	14	applied	apply	VERB
fumecheng-4971	91	15	.	.	PUNCT
fumecheng-4971	92	1	this	this	DET
fumecheng-4971	92	2	first	first	ADJ
fumecheng-4971	92	3	frame	frame	NOUN
fumecheng-4971	92	4	is	be	AUX
fumecheng-4971	92	5	taken	take	VERB
fumecheng-4971	92	6	as	as	ADP
fumecheng-4971	92	7	the	the	DET
fumecheng-4971	92	8	reference	reference	NOUN
fumecheng-4971	92	9	to	to	PART
fumecheng-4971	92	10	determine	determine	VERB
fumecheng-4971	92	11	the	the	DET
fumecheng-4971	92	12	relative	relative	ADJ
fumecheng-4971	92	13	displacement	displacement	NOUN
fumecheng-4971	92	14	of	of	ADP
fumecheng-4971	92	15	each	each	DET
fumecheng-4971	92	16	marker	marker	NOUN
fumecheng-4971	92	17	on	on	ADP
fumecheng-4971	92	18	each	each	DET
fumecheng-4971	92	19	frame	frame	NOUN
fumecheng-4971	92	20	from	from	ADP
fumecheng-4971	92	21	its	its	PRON
fumecheng-4971	92	22	position	position	NOUN
fumecheng-4971	92	23	when	when	SCONJ
fumecheng-4971	92	24	the	the	DET
fumecheng-4971	92	25	beam	beam	NOUN
fumecheng-4971	92	26	is	be	AUX
fumecheng-4971	92	27	undeflected	undeflected	ADJ
fumecheng-4971	92	28	.	.	PUNCT
fumecheng-4971	93	1	the	the	DET
fumecheng-4971	93	2	software	software	NOUN
fumecheng-4971	93	3	gom	gom	NOUN
fumecheng-4971	93	4	correlate	correlate	NOUN
fumecheng-4971	93	5	is	be	AUX
fumecheng-4971	93	6	used	use	VERB
fumecheng-4971	93	7	to	to	PART
fumecheng-4971	93	8	analyze	analyze	VERB
fumecheng-4971	93	9	each	each	DET
fumecheng-4971	93	10	frame	frame	NOUN
fumecheng-4971	93	11	of	of	ADP
fumecheng-4971	93	12	the	the	DET
fumecheng-4971	93	13	video	video	NOUN
fumecheng-4971	93	14	and	and	CCONJ
fumecheng-4971	93	15	to	to	PART
fumecheng-4971	93	16	detect	detect	VERB
fumecheng-4971	93	17	the	the	DET
fumecheng-4971	93	18	relative	relative	ADJ
fumecheng-4971	93	19	distance	distance	NOUN
fumecheng-4971	93	20	from	from	ADP
fumecheng-4971	93	21	its	its	PRON
fumecheng-4971	93	22	position	position	NOUN
fumecheng-4971	93	23	on	on	ADP
fumecheng-4971	93	24	the	the	DET
fumecheng-4971	93	25	reference	reference	NOUN
fumecheng-4971	93	26	frame	frame	NOUN
fumecheng-4971	93	27	.	.	PUNCT
fumecheng-4971	94	1	the	the	DET
fumecheng-4971	94	2	calibration	calibration	NOUN
fumecheng-4971	94	3	of	of	ADP
fumecheng-4971	94	4	the	the	DET
fumecheng-4971	94	5	distance	distance	NOUN
fumecheng-4971	94	6	measurement	measurement	NOUN
fumecheng-4971	94	7	from	from	ADP
fumecheng-4971	94	8	the	the	DET
fumecheng-4971	94	9	frames	frame	NOUN
fumecheng-4971	94	10	is	be	AUX
fumecheng-4971	94	11	done	do	VERB
fumecheng-4971	94	12	using	use	VERB
fumecheng-4971	94	13	the	the	DET
fumecheng-4971	94	14	known	know	VERB
fumecheng-4971	94	15	distance	distance	NOUN
fumecheng-4971	94	16	of	of	ADP
fumecheng-4971	94	17	the	the	DET
fumecheng-4971	94	18	markers	marker	NOUN
fumecheng-4971	94	19	on	on	ADP
fumecheng-4971	94	20	the	the	DET
fumecheng-4971	94	21	maker	maker	NOUN
fumecheng-4971	94	22	strip	strip	NOUN
fumecheng-4971	94	23	,	,	PUNCT
fumecheng-4971	94	24	which	which	PRON
fumecheng-4971	94	25	results	result	VERB
fumecheng-4971	94	26	in	in	ADP
fumecheng-4971	94	27	a	a	DET
fumecheng-4971	94	28	resolution	resolution	NOUN
fumecheng-4971	94	29	of	of	ADP
fumecheng-4971	94	30	roughly	roughly	ADV
fumecheng-4971	94	31	3.5	3.5	NUM
fumecheng-4971	94	32	pixel	pixel	NOUN
fumecheng-4971	94	33	/	/	SYM
fumecheng-4971	94	34	mm	mm	PROPN
fumecheng-4971	94	35	.	.	PUNCT
fumecheng-4971	94	36	fig	fig	NOUN
fumecheng-4971	94	37	.	.	PUNCT
fumecheng-4971	95	1	4	4	NUM
fumecheng-4971	95	2	reference	reference	NOUN
fumecheng-4971	95	3	frame	frame	NOUN
fumecheng-4971	95	4	of	of	ADP
fumecheng-4971	95	5	undeflected	undeflected	ADJ
fumecheng-4971	95	6	beam	beam	NOUN
fumecheng-4971	95	7	without	without	ADP
fumecheng-4971	95	8	magnets	magnet	NOUN
fumecheng-4971	95	9	(	(	PUNCT
fumecheng-4971	95	10	left	left	ADJ
fumecheng-4971	95	11	)	)	PUNCT
fumecheng-4971	95	12	and	and	CCONJ
fumecheng-4971	95	13	marker	marker	NOUN
fumecheng-4971	95	14	detection	detection	NOUN
fumecheng-4971	95	15	and	and	CCONJ
fumecheng-4971	95	16	evaluation	evaluation	NOUN
fumecheng-4971	95	17	of	of	ADP
fumecheng-4971	95	18	marker	marker	NOUN
fumecheng-4971	95	19	displacement	displacement	NOUN
fumecheng-4971	95	20	with	with	ADP
fumecheng-4971	95	21	gom	gom	PROPN
fumecheng-4971	95	22	correlate	correlate	ADJ
fumecheng-4971	95	23	(	(	PUNCT
fumecheng-4971	95	24	right	right	ADJ
fumecheng-4971	95	25	)	)	PUNCT
fumecheng-4971	95	26	further	far	ADV
fumecheng-4971	95	27	it	it	PRON
fumecheng-4971	95	28	is	be	AUX
fumecheng-4971	95	29	necessary	necessary	ADJ
fumecheng-4971	95	30	to	to	PART
fumecheng-4971	95	31	eliminate	eliminate	VERB
fumecheng-4971	95	32	the	the	DET
fumecheng-4971	95	33	relative	relative	ADJ
fumecheng-4971	95	34	movement	movement	NOUN
fumecheng-4971	95	35	of	of	ADP
fumecheng-4971	95	36	the	the	DET
fumecheng-4971	95	37	supporting	support	VERB
fumecheng-4971	95	38	frame	frame	NOUN
fumecheng-4971	95	39	to	to	ADP
fumecheng-4971	95	40	the	the	DET
fumecheng-4971	95	41	nonmoving	nonmoving	NOUN
fumecheng-4971	95	42	camera	camera	NOUN
fumecheng-4971	95	43	in	in	ADP
fumecheng-4971	95	44	order	order	NOUN
fumecheng-4971	95	45	to	to	PART
fumecheng-4971	95	46	find	find	VERB
fumecheng-4971	95	47	the	the	DET
fumecheng-4971	95	48	relative	relative	ADJ
fumecheng-4971	95	49	displacement	displacement	NOUN
fumecheng-4971	95	50	of	of	ADP
fumecheng-4971	95	51	each	each	DET
fumecheng-4971	95	52	marker	marker	NOUN
fumecheng-4971	95	53	.	.	PUNCT
fumecheng-4971	96	1	this	this	PRON
fumecheng-4971	96	2	is	be	AUX
fumecheng-4971	96	3	done	do	VERB
fumecheng-4971	96	4	by	by	ADP
fumecheng-4971	96	5	subtracting	subtract	VERB
fumecheng-4971	96	6	the	the	DET
fumecheng-4971	96	7	current	current	ADJ
fumecheng-4971	96	8	displacement	displacement	NOUN
fumecheng-4971	96	9	of	of	ADP
fumecheng-4971	96	10	the	the	DET
fumecheng-4971	96	11	marker	marker	NOUN
fumecheng-4971	96	12	that	that	PRON
fumecheng-4971	96	13	is	be	AUX
fumecheng-4971	96	14	the	the	DET
fumecheng-4971	96	15	nearest	near	ADJ
fumecheng-4971	96	16	to	to	ADP
fumecheng-4971	96	17	the	the	DET
fumecheng-4971	96	18	beam	beam	NOUN
fumecheng-4971	96	19	clamping	clamp	VERB
fumecheng-4971	96	20	from	from	ADP
fumecheng-4971	96	21	all	all	DET
fumecheng-4971	96	22	other	other	ADJ
fumecheng-4971	96	23	marker	marker	NOUN
fumecheng-4971	96	24	displacements	displacement	NOUN
fumecheng-4971	96	25	of	of	ADP
fumecheng-4971	96	26	that	that	DET
fumecheng-4971	96	27	current	current	ADJ
fumecheng-4971	96	28	frame	frame	NOUN
fumecheng-4971	96	29	.	.	PUNCT
fumecheng-4971	97	1	3	3	X
fumecheng-4971	97	2	.	.	X
fumecheng-4971	97	3	results	result	NOUN
fumecheng-4971	97	4	of	of	ADP
fumecheng-4971	97	5	experimental	experimental	ADJ
fumecheng-4971	97	6	investigations	investigation	NOUN
fumecheng-4971	97	7	and	and	CCONJ
fumecheng-4971	97	8	their	their	PRON
fumecheng-4971	97	9	analysis	analysis	NOUN
fumecheng-4971	97	10	the	the	DET
fumecheng-4971	97	11	aim	aim	NOUN
fumecheng-4971	97	12	of	of	ADP
fumecheng-4971	97	13	the	the	DET
fumecheng-4971	97	14	following	follow	VERB
fumecheng-4971	97	15	investigations	investigation	NOUN
fumecheng-4971	97	16	is	be	AUX
fumecheng-4971	97	17	to	to	PART
fumecheng-4971	97	18	decide	decide	VERB
fumecheng-4971	97	19	if	if	SCONJ
fumecheng-4971	97	20	the	the	DET
fumecheng-4971	97	21	observed	observe	VERB
fumecheng-4971	97	22	operational	operational	ADJ
fumecheng-4971	97	23	vibration	vibration	NOUN
fumecheng-4971	97	24	shapes	shape	NOUN
fumecheng-4971	97	25	of	of	ADP
fumecheng-4971	97	26	the	the	DET
fumecheng-4971	97	27	harmonically	harmonically	ADV
fumecheng-4971	97	28	excited	excited	ADJ
fumecheng-4971	97	29	bistable	bistable	ADJ
fumecheng-4971	97	30	beam	beam	NOUN
fumecheng-4971	97	31	can	can	AUX
fumecheng-4971	97	32	be	be	AUX
fumecheng-4971	97	33	expanded	expand	VERB
fumecheng-4971	97	34	in	in	ADP
fumecheng-4971	97	35	the	the	DET
fumecheng-4971	97	36	eigenshapes	eigenshape	NOUN
fumecheng-4971	97	37	of	of	ADP
fumecheng-4971	97	38	the	the	DET
fumecheng-4971	97	39	euler	euler	PROPN
fumecheng-4971	97	40	-	-	PUNCT
fumecheng-4971	97	41	bernoulli	bernoulli	NOUN
fumecheng-4971	97	42	beam	beam	NOUN
fumecheng-4971	97	43	as	as	ADV
fumecheng-4971	97	44	well	well	ADV
fumecheng-4971	97	45	as	as	ADP
fumecheng-4971	97	46	how	how	SCONJ
fumecheng-4971	97	47	many	many	ADJ
fumecheng-4971	97	48	ansatz	ansatz	ADJ
fumecheng-4971	97	49	functions	function	NOUN
fumecheng-4971	97	50	are	be	AUX
fumecheng-4971	97	51	required	require	VERB
fumecheng-4971	97	52	according	accord	VERB
fumecheng-4971	97	53	to	to	ADP
fumecheng-4971	97	54	the	the	PRON
fumecheng-4971	97	55	on	on	ADP
fumecheng-4971	97	56	the	the	DET
fumecheng-4971	97	57	discretization	discretization	NOUN
fumecheng-4971	97	58	of	of	ADP
fumecheng-4971	97	59	a	a	DET
fumecheng-4971	97	60	bistable	bistable	ADJ
fumecheng-4971	97	61	cantilever	cantilever	NOUN
fumecheng-4971	97	62	beam	beam	NOUN
fumecheng-4971	97	63	with	with	ADP
fumecheng-4971	97	64	application	application	NOUN
fumecheng-4971	97	65	to	to	ADP
fumecheng-4971	97	66	energy	energy	NOUN
fumecheng-4971	97	67	harvesting	harvesting	NOUN
fumecheng-4971	97	68	131	131	NUM
fumecheng-4971	97	69	mixed	mix	VERB
fumecheng-4971	97	70	ritz	ritz	PROPN
fumecheng-4971	97	71	ansatz	ansatz	NOUN
fumecheng-4971	97	72	(	(	PUNCT
fumecheng-4971	97	73	eq	eq	NOUN
fumecheng-4971	97	74	.	.	PUNCT
fumecheng-4971	98	1	(	(	PUNCT
fumecheng-4971	98	2	1	1	NUM
fumecheng-4971	98	3	)	)	PUNCT
fumecheng-4971	98	4	)	)	PUNCT
fumecheng-4971	98	5	.	.	PUNCT
fumecheng-4971	99	1	fig	fig	NOUN
fumecheng-4971	99	2	.	.	PUNCT
fumecheng-4971	100	1	5	5	NUM
fumecheng-4971	100	2	shows	show	VERB
fumecheng-4971	100	3	the	the	DET
fumecheng-4971	100	4	first	first	ADJ
fumecheng-4971	100	5	two	two	NUM
fumecheng-4971	100	6	eigenshapes	eigenshape	NOUN
fumecheng-4971	100	7	1	1	PROPN
fumecheng-4971	100	8	,	,	PUNCT
fumecheng-4971	100	9	2	2	NUM
fumecheng-4971	100	10	of	of	ADP
fumecheng-4971	100	11	the	the	DET
fumecheng-4971	100	12	beam	beam	NOUN
fumecheng-4971	100	13	together	together	ADV
fumecheng-4971	100	14	with	with	ADP
fumecheng-4971	100	15	the	the	DET
fumecheng-4971	100	16	static	static	ADJ
fumecheng-4971	100	17	bending	bend	VERB
fumecheng-4971	100	18	line	line	NOUN
fumecheng-4971	100	19	caused	cause	VERB
fumecheng-4971	100	20	by	by	ADP
fumecheng-4971	100	21	a	a	DET
fumecheng-4971	100	22	constant	constant	ADJ
fumecheng-4971	100	23	lateral	lateral	ADJ
fumecheng-4971	100	24	tip	tip	NOUN
fumecheng-4971	100	25	force	force	NOUN
fumecheng-4971	100	26	.	.	PUNCT
fumecheng-4971	101	1	fig	fig	NOUN
fumecheng-4971	101	2	.	.	PUNCT
fumecheng-4971	102	1	5	5	NUM
fumecheng-4971	102	2	beam	beam	NOUN
fumecheng-4971	102	3	eigenshapes	eigenshape	NOUN
fumecheng-4971	102	4	and	and	CCONJ
fumecheng-4971	102	5	static	static	ADJ
fumecheng-4971	102	6	bending	bending	NOUN
fumecheng-4971	102	7	line	line	NOUN
fumecheng-4971	102	8	according	accord	VERB
fumecheng-4971	102	9	to	to	ADP
fumecheng-4971	102	10	the	the	DET
fumecheng-4971	102	11	linear	linear	PROPN
fumecheng-4971	102	12	euler	euler	VERB
fumecheng-4971	102	13	-	-	PUNCT
fumecheng-4971	102	14	bernoulli	bernoulli	PROPN
fumecheng-4971	102	15	beam	beam	NOUN
fumecheng-4971	102	16	theory	theory	NOUN
fumecheng-4971	102	17	in	in	ADP
fumecheng-4971	102	18	fig	fig	NOUN
fumecheng-4971	102	19	.	.	PUNCT
fumecheng-4971	102	20	6	6	NUM
fumecheng-4971	102	21	the	the	DET
fumecheng-4971	102	22	measured	measured	ADJ
fumecheng-4971	102	23	static	static	ADJ
fumecheng-4971	102	24	bending	bend	VERB
fumecheng-4971	102	25	line	line	NOUN
fumecheng-4971	102	26	resulting	result	VERB
fumecheng-4971	102	27	in	in	ADP
fumecheng-4971	102	28	the	the	DET
fumecheng-4971	102	29	“	"	PUNCT
fumecheng-4971	102	30	right	right	ADJ
fumecheng-4971	102	31	”	"	PUNCT
fumecheng-4971	102	32	stable	stable	ADJ
fumecheng-4971	102	33	equilibrium	equilibrium	NOUN
fumecheng-4971	102	34	(	(	PUNCT
fumecheng-4971	102	35	positive	positive	ADJ
fumecheng-4971	102	36	displacement	displacement	NOUN
fumecheng-4971	102	37	according	accord	VERB
fumecheng-4971	102	38	to	to	ADP
fumecheng-4971	102	39	table	table	NOUN
fumecheng-4971	102	40	2	2	NUM
fumecheng-4971	102	41	)	)	PUNCT
fumecheng-4971	102	42	resulting	result	VERB
fumecheng-4971	102	43	from	from	ADP
fumecheng-4971	102	44	the	the	DET
fumecheng-4971	102	45	magnets	magnet	NOUN
fumecheng-4971	102	46	from	from	ADP
fumecheng-4971	102	47	the	the	DET
fumecheng-4971	102	48	setup	setup	NOUN
fumecheng-4971	102	49	i	i	PRON
fumecheng-4971	102	50	is	be	AUX
fumecheng-4971	102	51	displayed	display	VERB
fumecheng-4971	102	52	.	.	PUNCT
fumecheng-4971	103	1	this	this	DET
fumecheng-4971	103	2	measured	measured	ADJ
fumecheng-4971	103	3	bending	bending	NOUN
fumecheng-4971	103	4	line	line	NOUN
fumecheng-4971	103	5	shows	show	VERB
fumecheng-4971	103	6	a	a	DET
fumecheng-4971	103	7	high	high	ADJ
fumecheng-4971	103	8	agreement	agreement	NOUN
fumecheng-4971	103	9	with	with	ADP
fumecheng-4971	103	10	the	the	DET
fumecheng-4971	103	11	theoretical	theoretical	ADJ
fumecheng-4971	103	12	static	static	ADJ
fumecheng-4971	103	13	bending	bend	VERB
fumecheng-4971	103	14	line	line	NOUN
fumecheng-4971	103	15	.	.	PUNCT
fumecheng-4971	104	1	fig	fig	NOUN
fumecheng-4971	104	2	.	.	PUNCT
fumecheng-4971	105	1	6	6	NUM
fumecheng-4971	105	2	static	static	ADJ
fumecheng-4971	105	3	bending	bending	NOUN
fumecheng-4971	105	4	of	of	ADP
fumecheng-4971	105	5	the	the	DET
fumecheng-4971	105	6	beam	beam	NOUN
fumecheng-4971	105	7	in	in	ADP
fumecheng-4971	105	8	“	"	PUNCT
fumecheng-4971	105	9	right	right	ADJ
fumecheng-4971	105	10	”	"	PUNCT
fumecheng-4971	105	11	equilibrium	equilibrium	NOUN
fumecheng-4971	105	12	position	position	NOUN
fumecheng-4971	105	13	(	(	PUNCT
fumecheng-4971	105	14	table	table	NOUN
fumecheng-4971	105	15	2	2	NUM
fumecheng-4971	105	16	,	,	PUNCT
fumecheng-4971	105	17	setup	setup	NOUN
fumecheng-4971	105	18	i	i	PRON
fumecheng-4971	105	19	)	)	PUNCT
fumecheng-4971	105	20	now	now	ADV
fumecheng-4971	105	21	the	the	DET
fumecheng-4971	105	22	operation	operation	NOUN
fumecheng-4971	105	23	shapes	shape	NOUN
fumecheng-4971	105	24	are	be	AUX
fumecheng-4971	105	25	measured	measure	VERB
fumecheng-4971	105	26	with	with	ADP
fumecheng-4971	105	27	a	a	DET
fumecheng-4971	105	28	high	high	ADJ
fumecheng-4971	105	29	-	-	PUNCT
fumecheng-4971	105	30	speed	speed	NOUN
fumecheng-4971	105	31	camera	camera	NOUN
fumecheng-4971	105	32	.	.	PUNCT
fumecheng-4971	106	1	fig	fig	NOUN
fumecheng-4971	106	2	.	.	PUNCT
fumecheng-4971	107	1	7	7	NUM
fumecheng-4971	107	2	shows	show	VERB
fumecheng-4971	107	3	typical	typical	ADJ
fumecheng-4971	107	4	examples	example	NOUN
fumecheng-4971	107	5	of	of	ADP
fumecheng-4971	107	6	the	the	DET
fumecheng-4971	107	7	two	two	NUM
fumecheng-4971	107	8	main	main	ADJ
fumecheng-4971	107	9	types	type	NOUN
fumecheng-4971	107	10	of	of	ADP
fumecheng-4971	107	11	solutions	solution	NOUN
fumecheng-4971	107	12	,	,	PUNCT
fumecheng-4971	107	13	namely	namely	ADV
fumecheng-4971	107	14	the	the	DET
fumecheng-4971	107	15	intrawell	intrawell	NOUN
fumecheng-4971	107	16	solution	solution	NOUN
fumecheng-4971	107	17	(	(	PUNCT
fumecheng-4971	107	18	left	left	ADV
fumecheng-4971	107	19	)	)	PUNCT
fumecheng-4971	107	20	and	and	CCONJ
fumecheng-4971	107	21	the	the	DET
fumecheng-4971	107	22	interwell	interwell	ADJ
fumecheng-4971	107	23	solution	solution	NOUN
fumecheng-4971	107	24	(	(	PUNCT
fumecheng-4971	107	25	right	right	NOUN
fumecheng-4971	107	26	)	)	PUNCT
fumecheng-4971	107	27	.	.	PUNCT
fumecheng-4971	108	1	the	the	DET
fumecheng-4971	108	2	phase	phase	NOUN
fumecheng-4971	108	3	diagram	diagram	NOUN
fumecheng-4971	108	4	of	of	ADP
fumecheng-4971	108	5	the	the	DET
fumecheng-4971	108	6	last	last	ADJ
fumecheng-4971	108	7	marker	marker	NOUN
fumecheng-4971	108	8	at	at	ADP
fumecheng-4971	108	9	the	the	DET
fumecheng-4971	108	10	tip	tip	NOUN
fumecheng-4971	108	11	of	of	ADP
fumecheng-4971	108	12	the	the	DET
fumecheng-4971	108	13	beam	beam	NOUN
fumecheng-4971	108	14	is	be	AUX
fumecheng-4971	108	15	shown	show	VERB
fumecheng-4971	108	16	,	,	PUNCT
fumecheng-4971	108	17	where	where	SCONJ
fumecheng-4971	108	18	the	the	DET
fumecheng-4971	108	19	velocity	velocity	NOUN
fumecheng-4971	108	20	has	have	AUX
fumecheng-4971	108	21	been	be	AUX
fumecheng-4971	108	22	determined	determine	VERB
fumecheng-4971	108	23	by	by	ADP
fumecheng-4971	108	24	the	the	DET
fumecheng-4971	108	25	time	time	NOUN
fumecheng-4971	108	26	derivative	derivative	NOUN
fumecheng-4971	108	27	of	of	ADP
fumecheng-4971	108	28	the	the	DET
fumecheng-4971	108	29	displacement	displacement	NOUN
fumecheng-4971	108	30	after	after	ADP
fumecheng-4971	108	31	filtering	filter	VERB
fumecheng-4971	108	32	the	the	DET
fumecheng-4971	108	33	signal	signal	NOUN
fumecheng-4971	108	34	by	by	ADP
fumecheng-4971	108	35	a	a	DET
fumecheng-4971	108	36	butterworth	butterworth	PROPN
fumecheng-4971	108	37	low	low	ADJ
fumecheng-4971	108	38	pass	pass	NOUN
fumecheng-4971	108	39	filter	filter	NOUN
fumecheng-4971	108	40	.	.	PUNCT
fumecheng-4971	109	1	both	both	DET
fumecheng-4971	109	2	solution	solution	NOUN
fumecheng-4971	109	3	types	type	NOUN
fumecheng-4971	109	4	do	do	AUX
fumecheng-4971	109	5	not	not	PART
fumecheng-4971	109	6	show	show	VERB
fumecheng-4971	109	7	any	any	DET
fumecheng-4971	109	8	period	period	NOUN
fumecheng-4971	109	9	multiplication	multiplication	NOUN
fumecheng-4971	109	10	in	in	ADP
fumecheng-4971	109	11	these	these	DET
fumecheng-4971	109	12	tests	test	NOUN
fumecheng-4971	109	13	,	,	PUNCT
fumecheng-4971	109	14	which	which	PRON
fumecheng-4971	109	15	restricts	restrict	VERB
fumecheng-4971	109	16	in	in	ADP
fumecheng-4971	109	17	the	the	DET
fumecheng-4971	109	18	stationary	stationary	ADJ
fumecheng-4971	109	19	case	case	NOUN
fumecheng-4971	109	20	the	the	DET
fumecheng-4971	109	21	occurring	occur	VERB
fumecheng-4971	109	22	response	response	NOUN
fumecheng-4971	109	23	frequencies	frequency	NOUN
fumecheng-4971	109	24	to	to	ADP
fumecheng-4971	109	25	the	the	DET
fumecheng-4971	109	26	excitation	excitation	NOUN
fumecheng-4971	109	27	frequency	frequency	NOUN
fumecheng-4971	109	28	and	and	CCONJ
fumecheng-4971	109	29	corresponding	correspond	VERB
fumecheng-4971	109	30	superharmonics	superharmonic	NOUN
fumecheng-4971	109	31	while	while	SCONJ
fumecheng-4971	109	32	subharmonics	subharmonic	NOUN
fumecheng-4971	109	33	do	do	AUX
fumecheng-4971	109	34	not	not	PART
fumecheng-4971	109	35	occur	occur	VERB
fumecheng-4971	109	36	.	.	PUNCT
fumecheng-4971	110	1	132	132	NUM
fumecheng-4971	110	2	m.-u	m.-u	NOUN
fumecheng-4971	110	3	.	.	PUNCT
fumecheng-4971	111	1	noll	noll	PROPN
fumecheng-4971	111	2	,	,	PUNCT
fumecheng-4971	111	3	l.	l.	PROPN
fumecheng-4971	111	4	lentz	lentz	PROPN
fumecheng-4971	111	5	,	,	PUNCT
fumecheng-4971	111	6	u.v	u.v	PROPN
fumecheng-4971	111	7	.	.	PROPN
fumecheng-4971	111	8	wagner	wagner	PROPN
fumecheng-4971	111	9	fig	fig	PROPN
fumecheng-4971	111	10	.	.	PUNCT
fumecheng-4971	111	11	7	7	NUM
fumecheng-4971	111	12	phase	phase	NOUN
fumecheng-4971	111	13	diagram	diagram	NOUN
fumecheng-4971	111	14	of	of	ADP
fumecheng-4971	111	15	beam	beam	NOUN
fumecheng-4971	111	16	tip	tip	PROPN
fumecheng-4971	111	17	:	:	PUNCT
fumecheng-4971	111	18	intrawell	intrawell	NOUN
fumecheng-4971	111	19	solution	solution	NOUN
fumecheng-4971	111	20	(	(	PUNCT
fumecheng-4971	111	21	left	left	ADV
fumecheng-4971	111	22	)	)	PUNCT
fumecheng-4971	111	23	and	and	CCONJ
fumecheng-4971	111	24	interwell	interwell	ADJ
fumecheng-4971	111	25	solution	solution	NOUN
fumecheng-4971	111	26	(	(	PUNCT
fumecheng-4971	111	27	right	right	ADJ
fumecheng-4971	111	28	)	)	PUNCT
fumecheng-4971	111	29	(	(	PUNCT
fumecheng-4971	111	30	setup	setup	PROPN
fumecheng-4971	111	31	ii	ii	PROPN
fumecheng-4971	111	32	)	)	PUNCT
fumecheng-4971	111	33	for	for	ADP
fumecheng-4971	111	34	distinct	distinct	ADJ
fumecheng-4971	111	35	points	point	NOUN
fumecheng-4971	111	36	jx̂	jx̂	PROPN
fumecheng-4971	111	37	time	time	NOUN
fumecheng-4971	111	38	series	series	NOUN
fumecheng-4971	111	39	for	for	ADP
fumecheng-4971	111	40	the	the	DET
fumecheng-4971	111	41	displacement	displacement	NOUN
fumecheng-4971	111	42	can	can	AUX
fumecheng-4971	111	43	be	be	AUX
fumecheng-4971	111	44	derived	derive	VERB
fumecheng-4971	111	45	.	.	PUNCT
fumecheng-4971	112	1	a	a	DET
fumecheng-4971	112	2	corresponding	corresponding	ADJ
fumecheng-4971	112	3	result	result	NOUN
fumecheng-4971	112	4	is	be	AUX
fumecheng-4971	112	5	shown	show	VERB
fumecheng-4971	112	6	in	in	ADP
fumecheng-4971	112	7	fig	fig	NOUN
fumecheng-4971	112	8	.	.	PUNCT
fumecheng-4971	113	1	8	8	NUM
fumecheng-4971	113	2	in	in	ADP
fumecheng-4971	113	3	the	the	DET
fumecheng-4971	113	4	case	case	NOUN
fumecheng-4971	113	5	of	of	ADP
fumecheng-4971	113	6	harmonic	harmonic	ADJ
fumecheng-4971	113	7	excitation	excitation	NOUN
fumecheng-4971	113	8	with	with	ADP
fumecheng-4971	113	9	f0=14	f0=14	PROPN
fumecheng-4971	113	10	hz	hz	PROPN
fumecheng-4971	113	11	.	.	PROPN
fumecheng-4971	113	12	fig	fig	PROPN
fumecheng-4971	113	13	.	.	PUNCT
fumecheng-4971	114	1	8	8	NUM
fumecheng-4971	114	2	time	time	NOUN
fumecheng-4971	114	3	series	series	NOUN
fumecheng-4971	114	4	of	of	ADP
fumecheng-4971	114	5	three	three	NUM
fumecheng-4971	114	6	points	point	NOUN
fumecheng-4971	114	7	xj	xj	PROPN
fumecheng-4971	114	8	,	,	PUNCT
fumecheng-4971	114	9	j	j	PROPN
fumecheng-4971	114	10	=	=	SYM
fumecheng-4971	114	11	32,42,52	32,42,52	NUM
fumecheng-4971	114	12	of	of	ADP
fumecheng-4971	114	13	the	the	DET
fumecheng-4971	114	14	beam	beam	NOUN
fumecheng-4971	114	15	in	in	ADP
fumecheng-4971	114	16	case	case	NOUN
fumecheng-4971	114	17	of	of	ADP
fumecheng-4971	114	18	an	an	DET
fumecheng-4971	114	19	intrawell	intrawell	NOUN
fumecheng-4971	114	20	(	(	PUNCT
fumecheng-4971	114	21	left	left	ADV
fumecheng-4971	114	22	)	)	PUNCT
fumecheng-4971	114	23	and	and	CCONJ
fumecheng-4971	114	24	interwell	interwell	ADJ
fumecheng-4971	114	25	solution	solution	NOUN
fumecheng-4971	114	26	(	(	PUNCT
fumecheng-4971	114	27	right	right	NOUN
fumecheng-4971	114	28	)	)	PUNCT
fumecheng-4971	114	29	resulting	result	VERB
fumecheng-4971	114	30	from	from	ADP
fumecheng-4971	114	31	harmonic	harmonic	ADJ
fumecheng-4971	114	32	excitation	excitation	NOUN
fumecheng-4971	114	33	with	with	ADP
fumecheng-4971	114	34	f0=14	f0=14	PROPN
fumecheng-4971	114	35	hz	hz	X
fumecheng-4971	114	36	(	(	PUNCT
fumecheng-4971	114	37	setup	setup	PROPN
fumecheng-4971	114	38	ii	ii	PROPN
fumecheng-4971	114	39	)	)	PUNCT
fumecheng-4971	114	40	again	again	ADV
fumecheng-4971	114	41	in	in	ADP
fumecheng-4971	114	42	fig	fig	NOUN
fumecheng-4971	114	43	.	.	PUNCT
fumecheng-4971	114	44	8	8	NUM
fumecheng-4971	114	45	on	on	ADP
fumecheng-4971	114	46	the	the	DET
fumecheng-4971	114	47	left	left	ADJ
fumecheng-4971	114	48	an	an	DET
fumecheng-4971	114	49	intrawell	intrawell	NOUN
fumecheng-4971	114	50	solution	solution	NOUN
fumecheng-4971	114	51	is	be	AUX
fumecheng-4971	114	52	shown	show	VERB
fumecheng-4971	114	53	while	while	SCONJ
fumecheng-4971	114	54	an	an	DET
fumecheng-4971	114	55	interwell	interwell	ADJ
fumecheng-4971	114	56	solution	solution	NOUN
fumecheng-4971	114	57	is	be	AUX
fumecheng-4971	114	58	displayed	display	VERB
fumecheng-4971	114	59	on	on	ADP
fumecheng-4971	114	60	the	the	DET
fumecheng-4971	114	61	right	right	NOUN
fumecheng-4971	114	62	.	.	PUNCT
fumecheng-4971	115	1	an	an	DET
fumecheng-4971	115	2	fft	fft	NOUN
fumecheng-4971	115	3	(	(	PUNCT
fumecheng-4971	115	4	fast	fast	ADJ
fumecheng-4971	115	5	fourier	fourier	NOUN
fumecheng-4971	115	6	transformation	transformation	NOUN
fumecheng-4971	115	7	)	)	PUNCT
fumecheng-4971	115	8	analysis	analysis	NOUN
fumecheng-4971	115	9	for	for	ADP
fumecheng-4971	115	10	each	each	PRON
fumecheng-4971	115	11	of	of	ADP
fumecheng-4971	115	12	the	the	DET
fumecheng-4971	115	13	time	time	NOUN
fumecheng-4971	115	14	series	series	PROPN
fumecheng-4971	115	15	ˆ	ˆ	PROPN
fumecheng-4971	115	16	(	(	PUNCT
fumecheng-4971	115	17	)	)	PUNCT
fumecheng-4971	115	18	j	j	PROPN
fumecheng-4971	115	19	ix	ix	PROPN
fumecheng-4971	115	20	t	t	PROPN
fumecheng-4971	115	21	is	be	AUX
fumecheng-4971	115	22	performed	perform	VERB
fumecheng-4971	115	23	.	.	PUNCT
fumecheng-4971	116	1	a	a	DET
fumecheng-4971	116	2	corresponding	corresponding	ADJ
fumecheng-4971	116	3	result	result	NOUN
fumecheng-4971	116	4	is	be	AUX
fumecheng-4971	116	5	shown	show	VERB
fumecheng-4971	116	6	in	in	ADP
fumecheng-4971	116	7	fig	fig	NOUN
fumecheng-4971	116	8	.	.	PUNCT
fumecheng-4971	117	1	9	9	X
fumecheng-4971	117	2	.	.	X
fumecheng-4971	117	3	fig	fig	NOUN
fumecheng-4971	117	4	.	.	PUNCT
fumecheng-4971	118	1	9	9	NUM
fumecheng-4971	118	2	fft	fft	NOUN
fumecheng-4971	118	3	analysis	analysis	NOUN
fumecheng-4971	118	4	of	of	ADP
fumecheng-4971	118	5	the	the	DET
fumecheng-4971	118	6	time	time	NOUN
fumecheng-4971	118	7	series	series	NOUN
fumecheng-4971	118	8	in	in	ADP
fumecheng-4971	118	9	fig	fig	NOUN
fumecheng-4971	118	10	.	.	PUNCT
fumecheng-4971	118	11	8	8	NUM
fumecheng-4971	118	12	(	(	PUNCT
fumecheng-4971	118	13	setup	setup	NOUN
fumecheng-4971	118	14	ii	ii	PROPN
fumecheng-4971	118	15	)	)	PUNCT
fumecheng-4971	118	16	on	on	ADP
fumecheng-4971	118	17	the	the	DET
fumecheng-4971	118	18	discretization	discretization	NOUN
fumecheng-4971	118	19	of	of	ADP
fumecheng-4971	118	20	a	a	DET
fumecheng-4971	118	21	bistable	bistable	ADJ
fumecheng-4971	118	22	cantilever	cantilever	NOUN
fumecheng-4971	118	23	beam	beam	NOUN
fumecheng-4971	118	24	with	with	ADP
fumecheng-4971	118	25	application	application	NOUN
fumecheng-4971	118	26	to	to	ADP
fumecheng-4971	118	27	energy	energy	NOUN
fumecheng-4971	118	28	harvesting	harvesting	NOUN
fumecheng-4971	118	29	133	133	NUM
fumecheng-4971	118	30	according	accord	VERB
fumecheng-4971	118	31	to	to	ADP
fumecheng-4971	118	32	the	the	DET
fumecheng-4971	118	33	nonlinear	nonlinear	ADJ
fumecheng-4971	118	34	character	character	NOUN
fumecheng-4971	118	35	of	of	ADP
fumecheng-4971	118	36	the	the	DET
fumecheng-4971	118	37	system	system	NOUN
fumecheng-4971	118	38	,	,	PUNCT
fumecheng-4971	118	39	distinct	distinct	ADJ
fumecheng-4971	118	40	superharmonics	superharmonic	NOUN
fumecheng-4971	118	41	of	of	ADP
fumecheng-4971	118	42	the	the	DET
fumecheng-4971	118	43	excitation	excitation	NOUN
fumecheng-4971	118	44	frequency	frequency	NOUN
fumecheng-4971	118	45	in	in	ADP
fumecheng-4971	118	46	the	the	DET
fumecheng-4971	118	47	response	response	NOUN
fumecheng-4971	118	48	can	can	AUX
fumecheng-4971	118	49	be	be	AUX
fumecheng-4971	118	50	expected	expect	VERB
fumecheng-4971	118	51	.	.	PUNCT
fumecheng-4971	119	1	due	due	ADP
fumecheng-4971	119	2	to	to	ADP
fumecheng-4971	119	3	the	the	DET
fumecheng-4971	119	4	symmetric	symmetric	ADJ
fumecheng-4971	119	5	characteristic	characteristic	NOUN
fumecheng-4971	119	6	of	of	ADP
fumecheng-4971	119	7	the	the	DET
fumecheng-4971	119	8	interwell	interwell	ADJ
fumecheng-4971	119	9	solutions	solution	NOUN
fumecheng-4971	119	10	,	,	PUNCT
fumecheng-4971	119	11	odd	odd	ADJ
fumecheng-4971	119	12	superharmonics	superharmonic	NOUN
fumecheng-4971	119	13	are	be	AUX
fumecheng-4971	119	14	expected	expect	VERB
fumecheng-4971	119	15	while	while	SCONJ
fumecheng-4971	119	16	even	even	ADV
fumecheng-4971	119	17	and	and	CCONJ
fumecheng-4971	119	18	odd	odd	ADJ
fumecheng-4971	119	19	superharmonics	superharmonic	NOUN
fumecheng-4971	119	20	can	can	AUX
fumecheng-4971	119	21	be	be	AUX
fumecheng-4971	119	22	expected	expect	VERB
fumecheng-4971	119	23	in	in	ADP
fumecheng-4971	119	24	the	the	DET
fumecheng-4971	119	25	intrawell	intrawell	NOUN
fumecheng-4971	119	26	case	case	NOUN
fumecheng-4971	119	27	due	due	ADP
fumecheng-4971	119	28	to	to	ADP
fumecheng-4971	119	29	the	the	DET
fumecheng-4971	119	30	asymmetric	asymmetric	ADJ
fumecheng-4971	119	31	restoring	restore	VERB
fumecheng-4971	119	32	characteristic	characteristic	NOUN
fumecheng-4971	119	33	around	around	ADP
fumecheng-4971	119	34	the	the	DET
fumecheng-4971	119	35	stable	stable	ADJ
fumecheng-4971	119	36	equilibrium	equilibrium	NOUN
fumecheng-4971	119	37	positions	position	NOUN
fumecheng-4971	119	38	originating	originate	VERB
fumecheng-4971	119	39	from	from	ADP
fumecheng-4971	119	40	the	the	DET
fumecheng-4971	119	41	magnets	magnet	NOUN
fumecheng-4971	119	42	.	.	PUNCT
fumecheng-4971	120	1	this	this	PRON
fumecheng-4971	120	2	is	be	AUX
fumecheng-4971	120	3	confirmed	confirm	VERB
fumecheng-4971	120	4	by	by	ADP
fumecheng-4971	120	5	the	the	DET
fumecheng-4971	120	6	experimental	experimental	ADJ
fumecheng-4971	120	7	results	result	NOUN
fumecheng-4971	120	8	.	.	PUNCT
fumecheng-4971	121	1	subharmonics	subharmonic	NOUN
fumecheng-4971	121	2	do	do	AUX
fumecheng-4971	121	3	not	not	PART
fumecheng-4971	121	4	occur	occur	VERB
fumecheng-4971	121	5	,	,	PUNCT
fumecheng-4971	121	6	as	as	SCONJ
fumecheng-4971	121	7	there	there	PRON
fumecheng-4971	121	8	are	be	VERB
fumecheng-4971	121	9	no	no	DET
fumecheng-4971	121	10	period	period	NOUN
fumecheng-4971	121	11	multiplications	multiplication	NOUN
fumecheng-4971	121	12	.	.	PUNCT
fumecheng-4971	122	1	having	having	AUX
fumecheng-4971	122	2	considered	consider	VERB
fumecheng-4971	122	3	these	these	DET
fumecheng-4971	122	4	initial	initial	ADJ
fumecheng-4971	122	5	results	result	NOUN
fumecheng-4971	122	6	,	,	PUNCT
fumecheng-4971	122	7	we	we	PRON
fumecheng-4971	122	8	will	will	AUX
fumecheng-4971	122	9	first	first	ADV
fumecheng-4971	122	10	reconsider	reconsider	VERB
fumecheng-4971	122	11	the	the	DET
fumecheng-4971	122	12	mixed	mixed	PROPN
fumecheng-4971	122	13	ritz	ritz	PROPN
fumecheng-4971	122	14	ansatz	ansatz	NOUN
fumecheng-4971	122	15	(	(	PUNCT
fumecheng-4971	122	16	eq	eq	NOUN
fumecheng-4971	122	17	.	.	PUNCT
fumecheng-4971	123	1	(	(	PUNCT
fumecheng-4971	123	2	1	1	NUM
fumecheng-4971	123	3	)	)	PUNCT
fumecheng-4971	123	4	)	)	PUNCT
fumecheng-4971	124	1	and	and	CCONJ
fumecheng-4971	124	2	the	the	DET
fumecheng-4971	124	3	corresponding	corresponding	ADJ
fumecheng-4971	124	4	theoretical	theoretical	ADJ
fumecheng-4971	124	5	analysis	analysis	NOUN
fumecheng-4971	124	6	.	.	PUNCT
fumecheng-4971	125	1	using	use	VERB
fumecheng-4971	125	2	e.g.	e.g.	ADV
fumecheng-4971	125	3	harmonic	harmonic	ADJ
fumecheng-4971	125	4	balance	balance	NOUN
fumecheng-4971	125	5	as	as	ADP
fumecheng-4971	125	6	solution	solution	NOUN
fumecheng-4971	125	7	method	method	NOUN
fumecheng-4971	125	8	for	for	ADP
fumecheng-4971	125	9	the	the	DET
fumecheng-4971	125	10	discretized	discretized	ADJ
fumecheng-4971	125	11	system	system	NOUN
fumecheng-4971	125	12	equations	equation	NOUN
fumecheng-4971	125	13	and	and	CCONJ
fumecheng-4971	125	14	considering	consider	VERB
fumecheng-4971	125	15	an	an	DET
fumecheng-4971	125	16	excitation	excitation	NOUN
fumecheng-4971	125	17	being	be	AUX
fumecheng-4971	125	18	proportional	proportional	ADJ
fumecheng-4971	125	19	to	to	ADP
fumecheng-4971	125	20	cost	cost	NOUN
fumecheng-4971	125	21	with	with	ADP
fumecheng-4971	125	22	=2f0	=2f0	PRON
fumecheng-4971	125	23	where	where	SCONJ
fumecheng-4971	125	24			PROPN
fumecheng-4971	125	25	is	be	AUX
fumecheng-4971	125	26	the	the	DET
fumecheng-4971	125	27	circular	circular	ADJ
fumecheng-4971	125	28	excitation	excitation	NOUN
fumecheng-4971	125	29	frequency	frequency	NOUN
fumecheng-4971	125	30	,	,	PUNCT
fumecheng-4971	125	31	one	one	PRON
fumecheng-4971	125	32	can	can	AUX
fumecheng-4971	125	33	expect	expect	VERB
fumecheng-4971	125	34	,	,	PUNCT
fumecheng-4971	125	35	that	that	DET
fumecheng-4971	125	36	time	time	NOUN
fumecheng-4971	125	37	function	function	NOUN
fumecheng-4971	125	38	pi(t	pi(t	NOUN
fumecheng-4971	125	39	)	)	PUNCT
fumecheng-4971	125	40	in	in	ADP
fumecheng-4971	125	41	the	the	DET
fumecheng-4971	125	42	mixed	mixed	PROPN
fumecheng-4971	125	43	ritz	ritz	PROPN
fumecheng-4971	125	44	ansatz	ansatz	NOUN
fumecheng-4971	125	45	can	can	AUX
fumecheng-4971	125	46	be	be	AUX
fumecheng-4971	125	47	expanded	expand	VERB
fumecheng-4971	125	48	as	as	SCONJ
fumecheng-4971	125	49	follows	follow	VERB
fumecheng-4971	125	50	0	0	NUM
fumecheng-4971	125	51	(	(	PUNCT
fumecheng-4971	125	52	)	)	PUNCT
fumecheng-4971	125	53	cos	cos	PROPN
fumecheng-4971	125	54	(	(	PUNCT
fumecheng-4971	125	55	)	)	PUNCT
fumecheng-4971	126	1	m	m	VERB
fumecheng-4971	126	2	i	i	PRON
fumecheng-4971	126	3	ik	ik	PROPN
fumecheng-4971	126	4	ik	ik	PROPN
fumecheng-4971	127	1	k	k	PROPN
fumecheng-4971	127	2	p	p	PROPN
fumecheng-4971	127	3	t	t	PROPN
fumecheng-4971	127	4	a	a	DET
fumecheng-4971	127	5	k	k	PROPN
fumecheng-4971	127	6	t	t	PROPN
fumecheng-4971	127	7			PROPN
fumecheng-4971	127	8			PROPN
fumecheng-4971	127	9			PROPN
fumecheng-4971	127	10			PROPN
fumecheng-4971	127	11			NOUN
fumecheng-4971	127	12	(	(	PUNCT
fumecheng-4971	127	13	2	2	NUM
fumecheng-4971	127	14	)	)	PUNCT
fumecheng-4971	127	15	where	where	SCONJ
fumecheng-4971	127	16	k=0,1,2,3	k=0,1,2,3	NOUN
fumecheng-4971	127	17	,	,	PUNCT
fumecheng-4971	127	18	…	…	PUNCT
fumecheng-4971	127	19	in	in	ADP
fumecheng-4971	127	20	the	the	DET
fumecheng-4971	127	21	case	case	NOUN
fumecheng-4971	127	22	of	of	ADP
fumecheng-4971	127	23	the	the	DET
fumecheng-4971	127	24	intrawell	intrawell	NOUN
fumecheng-4971	127	25	solution	solution	NOUN
fumecheng-4971	127	26	and	and	CCONJ
fumecheng-4971	127	27	k=1,3,5,7	k=1,3,5,7	NOUN
fumecheng-4971	127	28	,	,	PUNCT
fumecheng-4971	127	29	…	…	PUNCT
fumecheng-4971	127	30	in	in	ADP
fumecheng-4971	127	31	the	the	DET
fumecheng-4971	127	32	interwell	interwell	ADJ
fumecheng-4971	127	33	case	case	NOUN
fumecheng-4971	127	34	.	.	PUNCT
fumecheng-4971	128	1	the	the	DET
fumecheng-4971	128	2	intrawell	intrawell	PROPN
fumecheng-4971	128	3	case	case	NOUN
fumecheng-4971	128	4	contains	contain	VERB
fumecheng-4971	128	5	both	both	PRON
fumecheng-4971	128	6	a	a	DET
fumecheng-4971	128	7	constant	constant	ADJ
fumecheng-4971	128	8	solution	solution	NOUN
fumecheng-4971	128	9	part	part	NOUN
fumecheng-4971	128	10	(	(	PUNCT
fumecheng-4971	128	11	k=0	k=0	PROPN
fumecheng-4971	128	12	)	)	PUNCT
fumecheng-4971	128	13	due	due	ADP
fumecheng-4971	128	14	to	to	ADP
fumecheng-4971	128	15	the	the	DET
fumecheng-4971	128	16	deflected	deflected	ADJ
fumecheng-4971	128	17	stable	stable	ADJ
fumecheng-4971	128	18	equilibrium	equilibrium	NOUN
fumecheng-4971	128	19	position	position	NOUN
fumecheng-4971	128	20	as	as	ADV
fumecheng-4971	128	21	well	well	ADV
fumecheng-4971	128	22	as	as	ADP
fumecheng-4971	128	23	even	even	ADV
fumecheng-4971	128	24	superharmonics	superharmonic	NOUN
fumecheng-4971	128	25	due	due	ADP
fumecheng-4971	128	26	to	to	ADP
fumecheng-4971	128	27	the	the	DET
fumecheng-4971	128	28	non	non	ADJ
fumecheng-4971	128	29	-	-	ADJ
fumecheng-4971	128	30	symmetric	symmetric	ADJ
fumecheng-4971	128	31	magnet	magnet	NOUN
fumecheng-4971	128	32	force	force	NOUN
fumecheng-4971	128	33	characteristic	characteristic	ADJ
fumecheng-4971	128	34	.	.	PUNCT
fumecheng-4971	129	1	on	on	ADP
fumecheng-4971	129	2	the	the	DET
fumecheng-4971	129	3	other	other	ADJ
fumecheng-4971	129	4	hand	hand	NOUN
fumecheng-4971	129	5	,	,	PUNCT
fumecheng-4971	129	6	the	the	DET
fumecheng-4971	129	7	interwell	interwell	ADJ
fumecheng-4971	129	8	solution	solution	NOUN
fumecheng-4971	129	9	has	have	VERB
fumecheng-4971	129	10	in	in	ADP
fumecheng-4971	129	11	theory	theory	NOUN
fumecheng-4971	129	12	a	a	DET
fumecheng-4971	129	13	zero	zero	NUM
fumecheng-4971	129	14	mean	mean	NOUN
fumecheng-4971	129	15	value	value	NOUN
fumecheng-4971	129	16	and	and	CCONJ
fumecheng-4971	129	17	is	be	AUX
fumecheng-4971	129	18	symmetric	symmetric	ADJ
fumecheng-4971	129	19	,	,	PUNCT
fumecheng-4971	129	20	which	which	PRON
fumecheng-4971	129	21	limits	limit	VERB
fumecheng-4971	129	22	k	k	PROPN
fumecheng-4971	129	23	to	to	ADP
fumecheng-4971	129	24	odd	odd	ADJ
fumecheng-4971	129	25	numbers	number	NOUN
fumecheng-4971	129	26	.	.	PUNCT
fumecheng-4971	130	1	these	these	DET
fumecheng-4971	130	2	considerations	consideration	NOUN
fumecheng-4971	130	3	are	be	AUX
fumecheng-4971	130	4	almost	almost	ADV
fumecheng-4971	130	5	fully	fully	ADV
fumecheng-4971	130	6	confirmed	confirm	VERB
fumecheng-4971	130	7	by	by	ADP
fumecheng-4971	130	8	the	the	DET
fumecheng-4971	130	9	results	result	NOUN
fumecheng-4971	130	10	shown	show	VERB
fumecheng-4971	130	11	in	in	ADP
fumecheng-4971	130	12	fig	fig	NOUN
fumecheng-4971	130	13	.	.	PUNCT
fumecheng-4971	131	1	8	8	NUM
fumecheng-4971	131	2	and	and	CCONJ
fumecheng-4971	131	3	9	9	NUM
fumecheng-4971	131	4	.	.	X
fumecheng-4971	132	1	only	only	ADV
fumecheng-4971	132	2	a	a	DET
fumecheng-4971	132	3	small	small	ADJ
fumecheng-4971	132	4	constant	constant	ADJ
fumecheng-4971	132	5	part	part	NOUN
fumecheng-4971	132	6	of	of	ADP
fumecheng-4971	132	7	the	the	DET
fumecheng-4971	132	8	interwell	interwell	ADJ
fumecheng-4971	132	9	solution	solution	NOUN
fumecheng-4971	132	10	is	be	AUX
fumecheng-4971	132	11	possibly	possibly	ADV
fumecheng-4971	132	12	due	due	ADJ
fumecheng-4971	132	13	to	to	ADP
fumecheng-4971	132	14	the	the	DET
fumecheng-4971	132	15	non	non	ADJ
fumecheng-4971	132	16	-	-	ADJ
fumecheng-4971	132	17	perfect	perfect	ADJ
fumecheng-4971	132	18	symmetry	symmetry	NOUN
fumecheng-4971	132	19	of	of	ADP
fumecheng-4971	132	20	the	the	DET
fumecheng-4971	132	21	magnets	magnet	NOUN
fumecheng-4971	132	22	(	(	PUNCT
fumecheng-4971	132	23	table	table	NOUN
fumecheng-4971	132	24	2	2	NUM
fumecheng-4971	132	25	)	)	PUNCT
fumecheng-4971	132	26	.	.	PUNCT
fumecheng-4971	133	1	inserting	insert	VERB
fumecheng-4971	133	2	the	the	DET
fumecheng-4971	133	3	expansion	expansion	NOUN
fumecheng-4971	133	4	(	(	PUNCT
fumecheng-4971	133	5	2	2	NUM
fumecheng-4971	133	6	)	)	PUNCT
fumecheng-4971	133	7	in	in	ADP
fumecheng-4971	133	8	the	the	DET
fumecheng-4971	133	9	mixed	mixed	PROPN
fumecheng-4971	133	10	ritz	ritz	PROPN
fumecheng-4971	133	11	ansatz	ansatz	ADJ
fumecheng-4971	133	12	results	result	NOUN
fumecheng-4971	133	13	after	after	ADP
fumecheng-4971	133	14	sorting	sort	VERB
fumecheng-4971	133	15	in	in	ADP
fumecheng-4971	133	16	1	1	NUM
fumecheng-4971	133	17	0	0	NUM
fumecheng-4971	133	18	(	(	PUNCT
fumecheng-4971	133	19	,	,	PUNCT
fumecheng-4971	133	20	)	)	PUNCT
fumecheng-4971	133	21	(	(	PUNCT
fumecheng-4971	133	22	)	)	PUNCT
fumecheng-4971	133	23	cos	cos	PROPN
fumecheng-4971	133	24	(	(	PUNCT
fumecheng-4971	133	25	)	)	PUNCT
fumecheng-4971	133	26	ik	ik	PROPN
fumecheng-4971	133	27	n	n	INTJ
fumecheng-4971	133	28	m	m	VERB
fumecheng-4971	133	29	i	i	PRON
fumecheng-4971	133	30	ik	ik	INTJ
fumecheng-4971	134	1	i	i	NOUN
fumecheng-4971	134	2	k	k	PROPN
fumecheng-4971	134	3	w	w	PROPN
fumecheng-4971	134	4	x	x	PROPN
fumecheng-4971	134	5	t	t	PROPN
fumecheng-4971	134	6	w	w	PROPN
fumecheng-4971	134	7	x	x	X
fumecheng-4971	134	8	a	a	DET
fumecheng-4971	134	9	k	k	PROPN
fumecheng-4971	134	10	t	t	NOUN
fumecheng-4971	134	11			PROPN
fumecheng-4971	134	12			PROPN
fumecheng-4971	134	13			NUM
fumecheng-4971	134	14			PROPN
fumecheng-4971	134	15			PROPN
fumecheng-4971	134	16			NOUN
fumecheng-4971	134	17			X
fumecheng-4971	134	18	,	,	PUNCT
fumecheng-4971	134	19	(	(	PUNCT
fumecheng-4971	134	20	3	3	X
fumecheng-4971	134	21	)	)	PUNCT
fumecheng-4971	134	22	as	as	SCONJ
fumecheng-4971	134	23	already	already	ADV
fumecheng-4971	134	24	mentioned	mention	VERB
fumecheng-4971	134	25	in	in	ADP
fumecheng-4971	134	26	the	the	DET
fumecheng-4971	134	27	introduction	introduction	NOUN
fumecheng-4971	134	28	,	,	PUNCT
fumecheng-4971	134	29	we	we	PRON
fumecheng-4971	134	30	are	be	AUX
fumecheng-4971	134	31	interested	interested	ADJ
fumecheng-4971	134	32	in	in	ADP
fumecheng-4971	134	33	the	the	DET
fumecheng-4971	134	34	question	question	NOUN
fumecheng-4971	134	35	which	which	PRON
fumecheng-4971	134	36	and	and	CCONJ
fumecheng-4971	134	37	how	how	SCONJ
fumecheng-4971	134	38	many	many	ADJ
fumecheng-4971	134	39	shape	shape	NOUN
fumecheng-4971	134	40	functions	function	NOUN
fumecheng-4971	134	41	wi(x	wi(x	NOUN
fumecheng-4971	134	42	)	)	PUNCT
fumecheng-4971	134	43	are	be	AUX
fumecheng-4971	134	44	necessary	necessary	ADJ
fumecheng-4971	134	45	for	for	ADP
fumecheng-4971	134	46	a	a	DET
fumecheng-4971	134	47	good	good	ADJ
fumecheng-4971	134	48	representation	representation	NOUN
fumecheng-4971	134	49	of	of	ADP
fumecheng-4971	134	50	intraand	intraand	NOUN
fumecheng-4971	134	51	interwell	interwell	PROPN
fumecheng-4971	134	52	solutions	solution	NOUN
fumecheng-4971	134	53	in	in	ADP
fumecheng-4971	134	54	our	our	PRON
fumecheng-4971	134	55	setup	setup	NOUN
fumecheng-4971	134	56	.	.	PUNCT
fumecheng-4971	135	1	therefore	therefore	ADV
fumecheng-4971	135	2	,	,	PUNCT
fumecheng-4971	135	3	we	we	PRON
fumecheng-4971	135	4	will	will	AUX
fumecheng-4971	135	5	now	now	ADV
fumecheng-4971	135	6	do	do	VERB
fumecheng-4971	135	7	the	the	DET
fumecheng-4971	135	8	same	same	ADJ
fumecheng-4971	135	9	expansion	expansion	NOUN
fumecheng-4971	135	10	with	with	ADP
fumecheng-4971	135	11	the	the	DET
fumecheng-4971	135	12	experimental	experimental	ADJ
fumecheng-4971	135	13	results	result	NOUN
fumecheng-4971	135	14	.	.	PUNCT
fumecheng-4971	136	1	for	for	ADP
fumecheng-4971	136	2	the	the	DET
fumecheng-4971	136	3	j	j	PROPN
fumecheng-4971	136	4	-	-	PUNCT
fumecheng-4971	136	5	th	th	VERB
fumecheng-4971	136	6	distinct	distinct	ADJ
fumecheng-4971	136	7	point	point	NOUN
fumecheng-4971	136	8	jx̂	jx̂	NOUN
fumecheng-4971	136	9	(	(	PUNCT
fumecheng-4971	136	10	position	position	NOUN
fumecheng-4971	136	11	on	on	ADP
fumecheng-4971	136	12	the	the	DET
fumecheng-4971	136	13	beam	beam	NOUN
fumecheng-4971	136	14	)	)	PUNCT
fumecheng-4971	136	15	the	the	DET
fumecheng-4971	136	16	time	time	NOUN
fumecheng-4971	136	17	series	series	NOUN
fumecheng-4971	136	18	of	of	ADP
fumecheng-4971	136	19	its	its	PRON
fumecheng-4971	136	20	movement	movement	NOUN
fumecheng-4971	136	21	is	be	AUX
fumecheng-4971	136	22	expanded	expand	VERB
fumecheng-4971	136	23	by	by	ADP
fumecheng-4971	136	24	a	a	DET
fumecheng-4971	136	25	fourier	fourier	ADJ
fumecheng-4971	136	26	expansion	expansion	NOUN
fumecheng-4971	136	27	0	0	NUM
fumecheng-4971	137	1	ˆ	ˆ	NOUN
fumecheng-4971	137	2	(	(	PUNCT
fumecheng-4971	137	3	,	,	PUNCT
fumecheng-4971	137	4	)	)	PUNCT
fumecheng-4971	137	5	cos	cos	PROPN
fumecheng-4971	137	6	(	(	PUNCT
fumecheng-4971	137	7	)	)	PUNCT
fumecheng-4971	137	8	m	m	PROPN
fumecheng-4971	138	1	j	j	PROPN
fumecheng-4971	138	2	jk	jk	PROPN
fumecheng-4971	138	3	jk	jk	PROPN
fumecheng-4971	138	4	k	k	PROPN
fumecheng-4971	138	5	w	w	PROPN
fumecheng-4971	138	6	x	x	PROPN
fumecheng-4971	138	7	t	t	PROPN
fumecheng-4971	138	8	a	a	DET
fumecheng-4971	138	9	k	k	PROPN
fumecheng-4971	138	10	t	t	PROPN
fumecheng-4971	138	11			PROPN
fumecheng-4971	138	12			PROPN
fumecheng-4971	138	13			PROPN
fumecheng-4971	138	14			PROPN
fumecheng-4971	138	15			NOUN
fumecheng-4971	138	16	(	(	PUNCT
fumecheng-4971	138	17	4	4	NUM
fumecheng-4971	138	18	)	)	PUNCT
fumecheng-4971	138	19	with	with	ADP
fumecheng-4971	138	20	coefficients	coefficient	NOUN
fumecheng-4971	138	21	jka~	jka~	NOUN
fumecheng-4971	138	22	and	and	CCONJ
fumecheng-4971	138	23	a	a	DET
fumecheng-4971	138	24	phase	phase	NOUN
fumecheng-4971	138	25	shift	shift	NOUN
fumecheng-4971	138	26	jk~	jk~	NOUN
fumecheng-4971	138	27	.	.	PUNCT
fumecheng-4971	139	1	while	while	SCONJ
fumecheng-4971	139	2	ik	ik	NOUN
fumecheng-4971	139	3	in	in	ADP
fumecheng-4971	139	4	eq	eq	ADP
fumecheng-4971	139	5	.	.	PUNCT
fumecheng-4971	140	1	(	(	PUNCT
fumecheng-4971	140	2	2	2	X
fumecheng-4971	140	3	)	)	PUNCT
fumecheng-4971	140	4	describe	describe	VERB
fumecheng-4971	140	5	the	the	DET
fumecheng-4971	140	6	phase	phase	NOUN
fumecheng-4971	140	7	shift	shift	NOUN
fumecheng-4971	140	8	compared	compare	VERB
fumecheng-4971	140	9	to	to	ADP
fumecheng-4971	140	10	the	the	DET
fumecheng-4971	140	11	excitation	excitation	NOUN
fumecheng-4971	140	12	,	,	PUNCT
fumecheng-4971	140	13	jk~	jk~	NOUN
fumecheng-4971	140	14	depend	depend	VERB
fumecheng-4971	140	15	on	on	ADP
fumecheng-4971	140	16	the	the	DET
fumecheng-4971	140	17	time	time	NOUN
fumecheng-4971	140	18	sequence	sequence	NOUN
fumecheng-4971	140	19	of	of	ADP
fumecheng-4971	140	20	the	the	DET
fumecheng-4971	140	21	video	video	NOUN
fumecheng-4971	140	22	to	to	PART
fumecheng-4971	140	23	be	be	AUX
fumecheng-4971	140	24	analyzed	analyze	VERB
fumecheng-4971	140	25	,	,	PUNCT
fumecheng-4971	140	26	and	and	CCONJ
fumecheng-4971	140	27	are	be	AUX
fumecheng-4971	140	28	triggered	trigger	VERB
fumecheng-4971	140	29	by	by	ADP
fumecheng-4971	140	30	the	the	DET
fumecheng-4971	140	31	starting	starting	NOUN
fumecheng-4971	140	32	of	of	ADP
fumecheng-4971	140	33	the	the	DET
fumecheng-4971	140	34	measurement	measurement	NOUN
fumecheng-4971	140	35	.	.	PUNCT
fumecheng-4971	141	1	as	as	SCONJ
fumecheng-4971	141	2	we	we	PRON
fumecheng-4971	141	3	are	be	AUX
fumecheng-4971	141	4	interested	interested	ADJ
fumecheng-4971	141	5	purely	purely	ADV
fumecheng-4971	141	6	in	in	ADP
fumecheng-4971	141	7	vibration	vibration	NOUN
fumecheng-4971	141	8	shapes	shape	NOUN
fumecheng-4971	141	9	this	this	PRON
fumecheng-4971	141	10	is	be	AUX
fumecheng-4971	141	11	not	not	PART
fumecheng-4971	141	12	a	a	DET
fumecheng-4971	141	13	restriction	restriction	NOUN
fumecheng-4971	141	14	.	.	PUNCT
fumecheng-4971	142	1	for	for	ADP
fumecheng-4971	142	2	each	each	DET
fumecheng-4971	142	3	considered	consider	VERB
fumecheng-4971	142	4	multiple	multiple	ADJ
fumecheng-4971	142	5	k	k	PROPN
fumecheng-4971	142	6	of	of	ADP
fumecheng-4971	142	7	excitation	excitation	NOUN
fumecheng-4971	142	8	circular	circular	ADJ
fumecheng-4971	142	9	frequency	frequency	NOUN
fumecheng-4971	142	10			PROPN
fumecheng-4971	142	11	,	,	PUNCT
fumecheng-4971	142	12	from	from	ADP
fumecheng-4971	142	13	jka~	jka~	DET
fumecheng-4971	142	14	a	a	DET
fumecheng-4971	142	15	shape	shape	NOUN
fumecheng-4971	142	16	ˆ	ˆ	ADV
fumecheng-4971	142	17	(	(	PUNCT
fumecheng-4971	142	18	)	)	PUNCT
fumecheng-4971	142	19	kw	kw	INTJ
fumecheng-4971	142	20	x	x	NOUN
fumecheng-4971	142	21	shall	shall	AUX
fumecheng-4971	142	22	be	be	AUX
fumecheng-4971	142	23	formed	form	VERB
fumecheng-4971	142	24	,	,	PUNCT
fumecheng-4971	142	25	which	which	PRON
fumecheng-4971	142	26	is	be	AUX
fumecheng-4971	142	27	then	then	ADV
fumecheng-4971	142	28	expanded	expand	VERB
fumecheng-4971	142	29	in	in	ADP
fumecheng-4971	142	30	considered	consider	VERB
fumecheng-4971	142	31	shape	shape	NOUN
fumecheng-4971	142	32	functions	function	NOUN
fumecheng-4971	142	33	wi(x	wi(x	NOUN
fumecheng-4971	142	34	)	)	PUNCT
fumecheng-4971	142	35	.	.	PUNCT
fumecheng-4971	143	1	to	to	PART
fumecheng-4971	143	2	do	do	VERB
fumecheng-4971	143	3	so	so	ADV
fumecheng-4971	143	4	,	,	PUNCT
fumecheng-4971	143	5	the	the	DET
fumecheng-4971	143	6	following	follow	VERB
fumecheng-4971	143	7	circumstances	circumstance	NOUN
fumecheng-4971	143	8	must	must	AUX
fumecheng-4971	143	9	be	be	AUX
fumecheng-4971	143	10	taken	take	VERB
fumecheng-4971	143	11	into	into	ADP
fumecheng-4971	143	12	consideration	consideration	NOUN
fumecheng-4971	143	13	.	.	PUNCT
fumecheng-4971	144	1	jka~	jka~	NOUN
fumecheng-4971	144	2	are	be	AUX
fumecheng-4971	144	3	taken	take	VERB
fumecheng-4971	144	4	from	from	ADP
fumecheng-4971	144	5	the	the	DET
fumecheng-4971	144	6	absolute	absolute	ADJ
fumecheng-4971	144	7	values	value	NOUN
fumecheng-4971	144	8	of	of	ADP
fumecheng-4971	144	9	the	the	DET
fumecheng-4971	144	10	fourier	fourier	ADJ
fumecheng-4971	144	11	expansion	expansion	NOUN
fumecheng-4971	144	12	(	(	PUNCT
fumecheng-4971	144	13	which	which	PRON
fumecheng-4971	144	14	is	be	AUX
fumecheng-4971	144	15	performed	perform	VERB
fumecheng-4971	144	16	in	in	ADP
fumecheng-4971	144	17	a	a	DET
fumecheng-4971	144	18	complex	complex	ADJ
fumecheng-4971	144	19	notation	notation	NOUN
fumecheng-4971	144	20	)	)	PUNCT
fumecheng-4971	144	21	,	,	PUNCT
fumecheng-4971	144	22	therefore	therefore	ADV
fumecheng-4971	144	23	they	they	PRON
fumecheng-4971	144	24	have	have	VERB
fumecheng-4971	144	25	positive	positive	ADJ
fumecheng-4971	144	26	values	value	NOUN
fumecheng-4971	144	27	only	only	ADV
fumecheng-4971	144	28	.	.	PUNCT
fumecheng-4971	145	1	this	this	PRON
fumecheng-4971	145	2	means	mean	VERB
fumecheng-4971	145	3	that	that	SCONJ
fumecheng-4971	145	4	in	in	ADP
fumecheng-4971	145	5	the	the	DET
fumecheng-4971	145	6	cases	case	NOUN
fumecheng-4971	145	7	where	where	SCONJ
fumecheng-4971	145	8	the	the	DET
fumecheng-4971	145	9	beam	beam	NOUN
fumecheng-4971	145	10	vibration	vibration	NOUN
fumecheng-4971	145	11	has	have	VERB
fumecheng-4971	145	12	vibration	vibration	NOUN
fumecheng-4971	145	13	nodes	node	NOUN
fumecheng-4971	145	14	it	it	PRON
fumecheng-4971	145	15	is	be	AUX
fumecheng-4971	145	16	to	to	PART
fumecheng-4971	145	17	be	be	AUX
fumecheng-4971	145	18	considered	consider	VERB
fumecheng-4971	145	19	that	that	SCONJ
fumecheng-4971	145	20	there	there	PRON
fumecheng-4971	145	21	is	be	VERB
fumecheng-4971	145	22	a	a	DET
fumecheng-4971	145	23	phase	phase	NOUN
fumecheng-4971	145	24	shift	shift	NOUN
fumecheng-4971	145	25	of	of	ADP
fumecheng-4971	145	26			PROPN
fumecheng-4971	145	27	between	between	ADP
fumecheng-4971	145	28	134	134	NUM
fumecheng-4971	145	29	m.-u	m.-u	NOUN
fumecheng-4971	145	30	.	.	PUNCT
fumecheng-4971	146	1	noll	noll	PROPN
fumecheng-4971	146	2	,	,	PUNCT
fumecheng-4971	146	3	l.	l.	PROPN
fumecheng-4971	146	4	lentz	lentz	PROPN
fumecheng-4971	146	5	,	,	PUNCT
fumecheng-4971	146	6	u.v	u.v	PROPN
fumecheng-4971	146	7	.	.	PROPN
fumecheng-4971	146	8	wagner	wagner	PROPN
fumecheng-4971	146	9	jk~	jk~	PROPN
fumecheng-4971	146	10	,	,	PUNCT
fumecheng-4971	146	11	even	even	ADV
fumecheng-4971	146	12	for	for	ADP
fumecheng-4971	146	13	one	one	NUM
fumecheng-4971	146	14	fixed	fix	VERB
fumecheng-4971	146	15	mode	mode	NOUN
fumecheng-4971	146	16	k.	k.	PROPN
fumecheng-4971	146	17	therefore	therefore	ADV
fumecheng-4971	146	18	,	,	PUNCT
fumecheng-4971	146	19	applicability	applicability	NOUN
fumecheng-4971	146	20	of	of	ADP
fumecheng-4971	146	21	eq	eq	PROPN
fumecheng-4971	146	22	.	.	PUNCT
fumecheng-4971	147	1	(	(	PUNCT
fumecheng-4971	147	2	4	4	X
fumecheng-4971	147	3	)	)	PUNCT
fumecheng-4971	147	4	requires	require	VERB
fumecheng-4971	147	5	,	,	PUNCT
fumecheng-4971	147	6	that	that	SCONJ
fumecheng-4971	147	7	for	for	ADP
fumecheng-4971	147	8	each	each	DET
fumecheng-4971	147	9	k	k	PROPN
fumecheng-4971	147	10	all	all	DET
fumecheng-4971	147	11	jk~	jk~	NOUN
fumecheng-4971	147	12	are	be	AUX
fumecheng-4971	147	13	constant	constant	ADJ
fumecheng-4971	147	14	for	for	ADP
fumecheng-4971	147	15	all	all	DET
fumecheng-4971	147	16	j	j	NOUN
fumecheng-4971	147	17	with	with	ADP
fumecheng-4971	147	18	the	the	DET
fumecheng-4971	147	19	exception	exception	NOUN
fumecheng-4971	147	20	that	that	SCONJ
fumecheng-4971	147	21	a	a	DET
fumecheng-4971	147	22	jump	jump	NOUN
fumecheng-4971	147	23	with	with	ADP
fumecheng-4971	147	24	size	size	NOUN
fumecheng-4971	147	25			PROPN
fumecheng-4971	147	26	is	be	AUX
fumecheng-4971	147	27	possible	possible	ADJ
fumecheng-4971	147	28	in	in	ADP
fumecheng-4971	147	29	the	the	DET
fumecheng-4971	147	30	case	case	NOUN
fumecheng-4971	147	31	of	of	ADP
fumecheng-4971	147	32	nodes	node	NOUN
fumecheng-4971	147	33	.	.	PUNCT
fumecheng-4971	148	1	if	if	SCONJ
fumecheng-4971	148	2	this	this	PRON
fumecheng-4971	148	3	is	be	AUX
fumecheng-4971	148	4	the	the	DET
fumecheng-4971	148	5	case	case	NOUN
fumecheng-4971	148	6	,	,	PUNCT
fumecheng-4971	148	7	subscript	subscript	PROPN
fumecheng-4971	148	8	j	j	PROPN
fumecheng-4971	148	9	can	can	AUX
fumecheng-4971	148	10	be	be	AUX
fumecheng-4971	148	11	neglected	neglect	VERB
fumecheng-4971	148	12	in	in	ADP
fumecheng-4971	148	13	the	the	DET
fumecheng-4971	148	14	following	following	NOUN
fumecheng-4971	148	15	and	and	CCONJ
fumecheng-4971	148	16	the	the	DET
fumecheng-4971	148	17	final	final	ADJ
fumecheng-4971	148	18	phase	phase	NOUN
fumecheng-4971	148	19	shift	shift	NOUN
fumecheng-4971	148	20	k̂	k̂	NOUN
fumecheng-4971	148	21	is	be	AUX
fumecheng-4971	148	22	described	describe	VERB
fumecheng-4971	148	23	by	by	ADP
fumecheng-4971	148	24	kk	kk	PROPN
fumecheng-4971	148	25	1	1	NUM
fumecheng-4971	148	26	~ˆ	~ˆ	PUNCT
fumecheng-4971	148	27			PROPN
fumecheng-4971	148	28			NUM
fumecheng-4971	148	29	(	(	PUNCT
fumecheng-4971	148	30	5	5	NUM
fumecheng-4971	148	31	)	)	PUNCT
fumecheng-4971	148	32	while	while	SCONJ
fumecheng-4971	148	33	jka~	jka~	NOUN
fumecheng-4971	148	34	are	be	AUX
fumecheng-4971	148	35	replaced	replace	VERB
fumecheng-4971	148	36	by	by	ADP
fumecheng-4971	148	37	jkâ	jkâ	PROPN
fumecheng-4971	148	38	following	follow	VERB
fumecheng-4971	148	39	the	the	DET
fumecheng-4971	148	40	scheme	scheme	NOUN
fumecheng-4971	148	41			NOUN
fumecheng-4971	149	1			NUM
fumecheng-4971	149	2			NUM
fumecheng-4971	149	3			ADV
fumecheng-4971	149	4			NOUN
fumecheng-4971	150	1			PROPN
fumecheng-4971	150	2			NUM
fumecheng-4971	150	3	.~~if~	.~~if~	NOUN
fumecheng-4971	150	4	0~~if~	0~~if~	NOUN
fumecheng-4971	150	5	ˆ	ˆ	ADV
fumecheng-4971	150	6	1	1	NUM
fumecheng-4971	150	7	1	1	NUM
fumecheng-4971	150	8			NUM
fumecheng-4971	150	9			PROPN
fumecheng-4971	150	10	kjkjk	kjkjk	PROPN
fumecheng-4971	150	11	kjkjk	kjkjk	PROPN
fumecheng-4971	150	12	jk	jk	PROPN
fumecheng-4971	151	1	a	a	DET
fumecheng-4971	151	2	a	a	DET
fumecheng-4971	151	3	a	a	DET
fumecheng-4971	151	4	(	(	PUNCT
fumecheng-4971	151	5	6	6	NUM
fumecheng-4971	151	6	)	)	PUNCT
fumecheng-4971	151	7	from	from	ADP
fumecheng-4971	151	8	jkâ	jkâ	ADV
fumecheng-4971	151	9	the	the	DET
fumecheng-4971	151	10	shape	shape	NOUN
fumecheng-4971	151	11	ˆ	ˆ	ADV
fumecheng-4971	151	12	(	(	PUNCT
fumecheng-4971	151	13	)	)	PUNCT
fumecheng-4971	151	14	kw	kw	NOUN
fumecheng-4971	151	15	x	x	VERB
fumecheng-4971	151	16	is	be	AUX
fumecheng-4971	151	17	formed	form	VERB
fumecheng-4971	151	18	,	,	PUNCT
fumecheng-4971	151	19	which	which	PRON
fumecheng-4971	151	20	is	be	AUX
fumecheng-4971	151	21	expanded	expand	VERB
fumecheng-4971	151	22	as	as	SCONJ
fumecheng-4971	151	23	follows	follow	VERB
fumecheng-4971	151	24	1	1	NUM
fumecheng-4971	151	25	ˆˆ	ˆˆ	PROPN
fumecheng-4971	151	26	(	(	PUNCT
fumecheng-4971	151	27	)	)	PUNCT
fumecheng-4971	151	28	(	(	PUNCT
fumecheng-4971	151	29	)	)	PUNCT
fumecheng-4971	152	1	n	n	X
fumecheng-4971	152	2	k	k	PROPN
fumecheng-4971	152	3	ik	ik	PROPN
fumecheng-4971	153	1	i	i	PRON
fumecheng-4971	153	2	i	i	INTJ
fumecheng-4971	153	3	w	w	VERB
fumecheng-4971	153	4	x	x	DET
fumecheng-4971	153	5	a	a	DET
fumecheng-4971	153	6	w	w	NOUN
fumecheng-4971	153	7	x	x	SYM
fumecheng-4971	153	8			NUM
fumecheng-4971	153	9			PROPN
fumecheng-4971	153	10	(	(	PUNCT
fumecheng-4971	153	11	7	7	NUM
fumecheng-4971	153	12	)	)	PUNCT
fumecheng-4971	153	13	with	with	ADP
fumecheng-4971	153	14	coefficients	coefficient	NOUN
fumecheng-4971	153	15	ikâ	ikâ	PROPN
fumecheng-4971	153	16	.	.	PUNCT
fumecheng-4971	154	1	in	in	ADP
fumecheng-4971	154	2	general	general	ADJ
fumecheng-4971	154	3	,	,	PUNCT
fumecheng-4971	154	4	displacement	displacement	NOUN
fumecheng-4971	154	5	w(x	w(x	PROPN
fumecheng-4971	154	6	,	,	PUNCT
fumecheng-4971	154	7	t	t	PROPN
fumecheng-4971	154	8	)	)	PUNCT
fumecheng-4971	154	9	from	from	ADP
fumecheng-4971	154	10	the	the	DET
fumecheng-4971	154	11	experiments	experiment	NOUN
fumecheng-4971	154	12	is	be	AUX
fumecheng-4971	154	13	therefore	therefore	ADV
fumecheng-4971	154	14	given	give	VERB
fumecheng-4971	154	15	by	by	ADP
fumecheng-4971	154	16	0	0	NUM
fumecheng-4971	154	17	ˆˆ	ˆˆ	PROPN
fumecheng-4971	154	18	(	(	PUNCT
fumecheng-4971	154	19	,	,	PUNCT
fumecheng-4971	154	20	)	)	PUNCT
fumecheng-4971	154	21	(	(	PUNCT
fumecheng-4971	154	22	)	)	PUNCT
fumecheng-4971	154	23	cos	cos	PROPN
fumecheng-4971	154	24	(	(	PUNCT
fumecheng-4971	154	25	)	)	PUNCT
fumecheng-4971	154	26	m	m	VERB
fumecheng-4971	154	27	k	k	X
fumecheng-4971	155	1	k	k	PROPN
fumecheng-4971	155	2	k	k	PROPN
fumecheng-4971	155	3	w	w	PROPN
fumecheng-4971	155	4	x	x	PUNCT
fumecheng-4971	155	5	t	t	PROPN
fumecheng-4971	155	6	w	w	NOUN
fumecheng-4971	155	7	x	x	PROPN
fumecheng-4971	155	8	k	k	PROPN
fumecheng-4971	155	9	t	t	PROPN
fumecheng-4971	155	10			PROPN
fumecheng-4971	155	11			PROPN
fumecheng-4971	155	12			PROPN
fumecheng-4971	155	13			PROPN
fumecheng-4971	155	14			NOUN
fumecheng-4971	155	15	(	(	PUNCT
fumecheng-4971	155	16	8)	8)	NUM
fumecheng-4971	155	17	inserting	insert	VERB
fumecheng-4971	155	18	eq	eq	ADP
fumecheng-4971	155	19	.	.	PUNCT
fumecheng-4971	155	20	(	(	PUNCT
fumecheng-4971	155	21	7	7	X
fumecheng-4971	155	22	)	)	PUNCT
fumecheng-4971	155	23	in	in	ADP
fumecheng-4971	155	24	(	(	PUNCT
fumecheng-4971	155	25	8)	8)	NUM
fumecheng-4971	155	26	results	result	NOUN
fumecheng-4971	155	27	in	in	ADP
fumecheng-4971	155	28	0	0	NUM
fumecheng-4971	155	29	1	1	NUM
fumecheng-4971	155	30	ˆ	ˆ	NOUN
fumecheng-4971	155	31	ˆ	ˆ	PROPN
fumecheng-4971	155	32	(	(	PUNCT
fumecheng-4971	155	33	,	,	PUNCT
fumecheng-4971	155	34	)	)	PUNCT
fumecheng-4971	155	35	(	(	PUNCT
fumecheng-4971	155	36	)	)	PUNCT
fumecheng-4971	155	37	cos	cos	PROPN
fumecheng-4971	155	38	(	(	PUNCT
fumecheng-4971	155	39	)	)	PUNCT
fumecheng-4971	155	40	m	m	VERB
fumecheng-4971	155	41	n	n	VERB
fumecheng-4971	155	42	ik	ik	INTJ
fumecheng-4971	156	1	i	i	PRON
fumecheng-4971	156	2	k	k	PROPN
fumecheng-4971	156	3	k	k	PROPN
fumecheng-4971	157	1	i	i	PRON
fumecheng-4971	157	2	w	w	VERB
fumecheng-4971	157	3	x	x	X
fumecheng-4971	157	4	t	t	PROPN
fumecheng-4971	157	5	a	a	PRON
fumecheng-4971	157	6	w	w	NOUN
fumecheng-4971	157	7	x	x	SYM
fumecheng-4971	157	8	k	k	PROPN
fumecheng-4971	157	9	t	t	PROPN
fumecheng-4971	157	10			PROPN
fumecheng-4971	157	11			PROPN
fumecheng-4971	157	12			NUM
fumecheng-4971	157	13			PROPN
fumecheng-4971	157	14			PROPN
fumecheng-4971	157	15			NOUN
fumecheng-4971	157	16	(	(	PUNCT
fumecheng-4971	157	17	9	9	NUM
fumecheng-4971	157	18	)	)	PUNCT
fumecheng-4971	157	19	and	and	CCONJ
fumecheng-4971	157	20	after	after	ADP
fumecheng-4971	157	21	sorting	sort	VERB
fumecheng-4971	157	22	in	in	ADP
fumecheng-4971	157	23	1	1	NUM
fumecheng-4971	157	24	0	0	NUM
fumecheng-4971	157	25	ˆ	ˆ	NOUN
fumecheng-4971	157	26	ˆ	ˆ	PROPN
fumecheng-4971	157	27	(	(	PUNCT
fumecheng-4971	157	28	,	,	PUNCT
fumecheng-4971	157	29	)	)	PUNCT
fumecheng-4971	157	30	(	(	PUNCT
fumecheng-4971	157	31	)	)	PUNCT
fumecheng-4971	157	32	cos	cos	PROPN
fumecheng-4971	157	33	(	(	PUNCT
fumecheng-4971	157	34	)	)	PUNCT
fumecheng-4971	157	35	n	n	CCONJ
fumecheng-4971	157	36	m	m	VERB
fumecheng-4971	157	37	i	i	PRON
fumecheng-4971	157	38	ik	ik	PROPN
fumecheng-4971	157	39	k	k	PROPN
fumecheng-4971	158	1	i	i	PRON
fumecheng-4971	158	2	k	k	PROPN
fumecheng-4971	159	1	w	w	PROPN
fumecheng-4971	159	2	x	x	PROPN
fumecheng-4971	159	3	t	t	PROPN
fumecheng-4971	159	4	w	w	PROPN
fumecheng-4971	159	5	x	x	X
fumecheng-4971	159	6	a	a	DET
fumecheng-4971	159	7	k	k	PROPN
fumecheng-4971	159	8	t	t	NOUN
fumecheng-4971	159	9			PROPN
fumecheng-4971	159	10			PROPN
fumecheng-4971	159	11			NUM
fumecheng-4971	159	12			PROPN
fumecheng-4971	159	13			PROPN
fumecheng-4971	159	14			NOUN
fumecheng-4971	159	15			X
fumecheng-4971	159	16	(	(	PUNCT
fumecheng-4971	159	17	10	10	NUM
fumecheng-4971	159	18	)	)	PUNCT
fumecheng-4971	159	19	which	which	PRON
fumecheng-4971	159	20	is	be	AUX
fumecheng-4971	159	21	almost	almost	ADV
fumecheng-4971	159	22	equal	equal	ADJ
fumecheng-4971	159	23	to	to	ADP
fumecheng-4971	159	24	the	the	DET
fumecheng-4971	159	25	theoretical	theoretical	ADJ
fumecheng-4971	159	26	result	result	NOUN
fumecheng-4971	159	27	(	(	PUNCT
fumecheng-4971	159	28	3	3	NUM
fumecheng-4971	159	29	)	)	PUNCT
fumecheng-4971	159	30	.	.	PUNCT
fumecheng-4971	160	1	the	the	DET
fumecheng-4971	160	2	only	only	ADJ
fumecheng-4971	160	3	differences	difference	NOUN
fumecheng-4971	160	4	are	be	AUX
fumecheng-4971	160	5	that	that	DET
fumecheng-4971	160	6	subscript	subscript	NOUN
fumecheng-4971	160	7	i	i	PRON
fumecheng-4971	160	8	is	be	AUX
fumecheng-4971	160	9	missing	miss	VERB
fumecheng-4971	160	10	in	in	ADP
fumecheng-4971	160	11	k̂	k̂	NOUN
fumecheng-4971	160	12	,	,	PUNCT
fumecheng-4971	160	13	i.e.	i.e.	X
fumecheng-4971	160	14	if	if	SCONJ
fumecheng-4971	160	15	the	the	DET
fumecheng-4971	160	16	expansion	expansion	NOUN
fumecheng-4971	160	17	is	be	AUX
fumecheng-4971	160	18	possible	possible	ADJ
fumecheng-4971	160	19	as	as	SCONJ
fumecheng-4971	160	20	described	describe	VERB
fumecheng-4971	160	21	,	,	PUNCT
fumecheng-4971	160	22	the	the	DET
fumecheng-4971	160	23	phase	phase	NOUN
fumecheng-4971	160	24	shift	shift	NOUN
fumecheng-4971	160	25	for	for	ADP
fumecheng-4971	160	26	the	the	DET
fumecheng-4971	160	27	k	k	NOUN
fumecheng-4971	160	28	-	-	PUNCT
fumecheng-4971	160	29	th	th	VERB
fumecheng-4971	160	30	harmonic	harmonic	NOUN
fumecheng-4971	160	31	does	do	AUX
fumecheng-4971	160	32	not	not	PART
fumecheng-4971	160	33	depend	depend	VERB
fumecheng-4971	160	34	on	on	ADP
fumecheng-4971	160	35	the	the	DET
fumecheng-4971	160	36	number	number	NOUN
fumecheng-4971	160	37	i	i	PRON
fumecheng-4971	160	38	of	of	ADP
fumecheng-4971	160	39	the	the	DET
fumecheng-4971	160	40	mode	mode	NOUN
fumecheng-4971	160	41	wi(x	wi(x	NOUN
fumecheng-4971	160	42	)	)	PUNCT
fumecheng-4971	160	43	,	,	PUNCT
fumecheng-4971	160	44	and	and	CCONJ
fumecheng-4971	160	45	reference	reference	NOUN
fumecheng-4971	160	46	times	time	NOUN
fumecheng-4971	160	47	for	for	ADP
fumecheng-4971	160	48	the	the	DET
fumecheng-4971	160	49	phase	phase	NOUN
fumecheng-4971	160	50	shifts	shift	NOUN
fumecheng-4971	160	51	may	may	AUX
fumecheng-4971	160	52	differ	differ	VERB
fumecheng-4971	160	53	as	as	SCONJ
fumecheng-4971	160	54	described	describe	VERB
fumecheng-4971	160	55	above	above	ADV
fumecheng-4971	160	56	.	.	PUNCT
fumecheng-4971	161	1	in	in	ADP
fumecheng-4971	161	2	the	the	DET
fumecheng-4971	161	3	following	following	NOUN
fumecheng-4971	161	4	,	,	PUNCT
fumecheng-4971	161	5	the	the	DET
fumecheng-4971	161	6	steps	step	NOUN
fumecheng-4971	161	7	(	(	PUNCT
fumecheng-4971	161	8	4)–(7	4)–(7	NUM
fumecheng-4971	161	9	)	)	PUNCT
fumecheng-4971	161	10	are	be	AUX
fumecheng-4971	161	11	performed	perform	VERB
fumecheng-4971	161	12	with	with	ADP
fumecheng-4971	161	13	the	the	DET
fumecheng-4971	161	14	experimental	experimental	ADJ
fumecheng-4971	161	15	results	result	NOUN
fumecheng-4971	161	16	.	.	PUNCT
fumecheng-4971	162	1	fig	fig	NOUN
fumecheng-4971	162	2	.	.	PUNCT
fumecheng-4971	163	1	10	10	NUM
fumecheng-4971	163	2	shows	show	VERB
fumecheng-4971	163	3	a	a	DET
fumecheng-4971	163	4	more	more	ADV
fumecheng-4971	163	5	detailed	detailed	ADJ
fumecheng-4971	163	6	analysis	analysis	NOUN
fumecheng-4971	163	7	of	of	ADP
fumecheng-4971	163	8	the	the	DET
fumecheng-4971	163	9	frequency	frequency	NOUN
fumecheng-4971	163	10	contents	content	NOUN
fumecheng-4971	163	11	of	of	ADP
fumecheng-4971	163	12	the	the	DET
fumecheng-4971	163	13	intrawell	intrawell	NOUN
fumecheng-4971	163	14	solution	solution	NOUN
fumecheng-4971	163	15	(	(	PUNCT
fumecheng-4971	163	16	left	left	ADV
fumecheng-4971	163	17	)	)	PUNCT
fumecheng-4971	163	18	and	and	CCONJ
fumecheng-4971	163	19	interwell	interwell	ADJ
fumecheng-4971	163	20	solution	solution	NOUN
fumecheng-4971	163	21	(	(	PUNCT
fumecheng-4971	163	22	right	right	NOUN
fumecheng-4971	163	23	)	)	PUNCT
fumecheng-4971	163	24	of	of	ADP
fumecheng-4971	163	25	the	the	DET
fumecheng-4971	163	26	beam	beam	NOUN
fumecheng-4971	163	27	tip	tip	NOUN
fumecheng-4971	163	28	with	with	ADP
fumecheng-4971	163	29	a	a	DET
fumecheng-4971	163	30	logarithmic	logarithmic	ADJ
fumecheng-4971	163	31	scale	scale	NOUN
fumecheng-4971	163	32	.	.	PUNCT
fumecheng-4971	164	1	constant	constant	ADJ
fumecheng-4971	164	2	parts	part	NOUN
fumecheng-4971	164	3	(	(	PUNCT
fumecheng-4971	164	4	zero	zero	NUM
fumecheng-4971	164	5	frequency	frequency	NOUN
fumecheng-4971	164	6	)	)	PUNCT
fumecheng-4971	164	7	are	be	AUX
fumecheng-4971	164	8	not	not	PART
fumecheng-4971	164	9	considered	consider	VERB
fumecheng-4971	164	10	in	in	ADP
fumecheng-4971	164	11	the	the	DET
fumecheng-4971	164	12	following	following	NOUN
fumecheng-4971	164	13	as	as	SCONJ
fumecheng-4971	164	14	they	they	PRON
fumecheng-4971	164	15	are	be	AUX
fumecheng-4971	164	16	due	due	ADJ
fumecheng-4971	164	17	to	to	ADP
fumecheng-4971	164	18	the	the	DET
fumecheng-4971	164	19	static	static	ADJ
fumecheng-4971	164	20	bending	bend	VERB
fumecheng-4971	164	21	line	line	NOUN
fumecheng-4971	164	22	,	,	PUNCT
fumecheng-4971	164	23	which	which	PRON
fumecheng-4971	164	24	is	be	AUX
fumecheng-4971	164	25	geometric	geometric	ADJ
fumecheng-4971	164	26	almost	almost	ADV
fumecheng-4971	164	27	similar	similar	ADJ
fumecheng-4971	164	28	to	to	ADP
fumecheng-4971	164	29	the	the	DET
fumecheng-4971	164	30	first	first	ADJ
fumecheng-4971	164	31	eigenshape	eigenshape	NOUN
fumecheng-4971	164	32	1	1	NOUN
fumecheng-4971	164	33	(	(	PUNCT
fumecheng-4971	164	34	fig	fig	NOUN
fumecheng-4971	164	35	.	.	PUNCT
fumecheng-4971	165	1	4	4	NUM
fumecheng-4971	165	2	)	)	PUNCT
fumecheng-4971	166	1	and	and	CCONJ
fumecheng-4971	166	2	therefore	therefore	ADV
fumecheng-4971	166	3	anyway	anyway	INTJ
fumecheng-4971	166	4	covered	cover	VERB
fumecheng-4971	166	5	by	by	ADP
fumecheng-4971	166	6	the	the	DET
fumecheng-4971	166	7	following	follow	VERB
fumecheng-4971	166	8	expansion	expansion	NOUN
fumecheng-4971	166	9	in	in	ADP
fumecheng-4971	166	10	1	1	PROPN
fumecheng-4971	166	11	and	and	CCONJ
fumecheng-4971	166	12	2	2	PROPN
fumecheng-4971	166	13	.	.	PUNCT
fumecheng-4971	167	1	in	in	ADP
fumecheng-4971	167	2	the	the	DET
fumecheng-4971	167	3	case	case	NOUN
fumecheng-4971	167	4	of	of	ADP
fumecheng-4971	167	5	the	the	DET
fumecheng-4971	167	6	intrawell	intrawell	NOUN
fumecheng-4971	167	7	solution	solution	NOUN
fumecheng-4971	167	8	we	we	PRON
fumecheng-4971	167	9	limit	limit	VERB
fumecheng-4971	167	10	our	our	PRON
fumecheng-4971	167	11	result	result	NOUN
fumecheng-4971	167	12	in	in	ADP
fumecheng-4971	167	13	accordance	accordance	NOUN
fumecheng-4971	167	14	with	with	ADP
fumecheng-4971	167	15	fig	fig	NOUN
fumecheng-4971	167	16	.	.	PUNCT
fumecheng-4971	168	1	10	10	NUM
fumecheng-4971	168	2	(	(	PUNCT
fumecheng-4971	168	3	left	leave	VERB
fumecheng-4971	168	4	)	)	PUNCT
fumecheng-4971	169	1	to	to	ADP
fumecheng-4971	169	2	k=1	k=1	PRON
fumecheng-4971	169	3	,	,	PUNCT
fumecheng-4971	169	4	2	2	NUM
fumecheng-4971	169	5	and	and	CCONJ
fumecheng-4971	169	6	3	3	NUM
fumecheng-4971	169	7	,	,	PUNCT
fumecheng-4971	169	8	while	while	SCONJ
fumecheng-4971	169	9	we	we	PRON
fumecheng-4971	169	10	will	will	AUX
fumecheng-4971	169	11	take	take	VERB
fumecheng-4971	169	12	in	in	ADP
fumecheng-4971	169	13	the	the	DET
fumecheng-4971	169	14	case	case	NOUN
fumecheng-4971	169	15	of	of	ADP
fumecheng-4971	169	16	the	the	DET
fumecheng-4971	169	17	interwell	interwell	ADJ
fumecheng-4971	169	18	solution	solution	NOUN
fumecheng-4971	169	19	k=1	k=1	X
fumecheng-4971	169	20	,	,	PUNCT
fumecheng-4971	169	21	3	3	NUM
fumecheng-4971	169	22	,	,	PUNCT
fumecheng-4971	169	23	5	5	NUM
fumecheng-4971	169	24	and	and	CCONJ
fumecheng-4971	169	25	7	7	NUM
fumecheng-4971	169	26	into	into	ADP
fumecheng-4971	169	27	consideration	consideration	NOUN
fumecheng-4971	169	28	.	.	PUNCT
fumecheng-4971	170	1	on	on	ADP
fumecheng-4971	170	2	the	the	DET
fumecheng-4971	170	3	discretization	discretization	NOUN
fumecheng-4971	170	4	of	of	ADP
fumecheng-4971	170	5	a	a	DET
fumecheng-4971	170	6	bistable	bistable	ADJ
fumecheng-4971	170	7	cantilever	cantilever	NOUN
fumecheng-4971	170	8	beam	beam	NOUN
fumecheng-4971	170	9	with	with	ADP
fumecheng-4971	170	10	application	application	NOUN
fumecheng-4971	170	11	to	to	ADP
fumecheng-4971	170	12	energy	energy	NOUN
fumecheng-4971	170	13	harvesting	harvesting	NOUN
fumecheng-4971	170	14	135	135	NUM
fumecheng-4971	170	15	fig	fig	NOUN
fumecheng-4971	170	16	.	.	PUNCT
fumecheng-4971	171	1	10	10	NUM
fumecheng-4971	171	2	fft	fft	NOUN
fumecheng-4971	171	3	of	of	ADP
fumecheng-4971	171	4	beam	beam	NOUN
fumecheng-4971	171	5	tip	tip	PROPN
fumecheng-4971	171	6	displacement	displacement	NOUN
fumecheng-4971	171	7	of	of	ADP
fumecheng-4971	171	8	intrawell	intrawell	PROPN
fumecheng-4971	171	9	(	(	PUNCT
fumecheng-4971	171	10	left	left	ADV
fumecheng-4971	171	11	)	)	PUNCT
fumecheng-4971	171	12	and	and	CCONJ
fumecheng-4971	171	13	interwell	interwell	INTJ
fumecheng-4971	171	14	(	(	PUNCT
fumecheng-4971	171	15	right	right	ADJ
fumecheng-4971	171	16	)	)	PUNCT
fumecheng-4971	171	17	oscillation	oscillation	NOUN
fumecheng-4971	171	18	(	(	PUNCT
fumecheng-4971	171	19	setup	setup	NOUN
fumecheng-4971	171	20	ii	ii	PROPN
fumecheng-4971	171	21	)	)	PUNCT
fumecheng-4971	171	22	fig	fig	NOUN
fumecheng-4971	171	23	.	.	PUNCT
fumecheng-4971	172	1	11	11	NUM
fumecheng-4971	172	2	shows	show	VERB
fumecheng-4971	172	3	1	1	NUM
fumecheng-4971	172	4	ˆ	ˆ	NOUN
fumecheng-4971	172	5	ja	ja	PROPN
fumecheng-4971	172	6	for	for	ADP
fumecheng-4971	172	7	the	the	DET
fumecheng-4971	172	8	intrawell	intrawell	PROPN
fumecheng-4971	172	9	and	and	CCONJ
fumecheng-4971	172	10	interwell	interwell	ADJ
fumecheng-4971	172	11	solution	solution	NOUN
fumecheng-4971	172	12	respectively	respectively	ADV
fumecheng-4971	172	13	,	,	PUNCT
fumecheng-4971	172	14	forming	form	VERB
fumecheng-4971	172	15	the	the	DET
fumecheng-4971	172	16	corresponding	corresponding	ADJ
fumecheng-4971	172	17	shapes	shape	NOUN
fumecheng-4971	172	18	1	1	NUM
fumecheng-4971	172	19	ˆ	ˆ	NOUN
fumecheng-4971	172	20	(	(	PUNCT
fumecheng-4971	172	21	)	)	PUNCT
fumecheng-4971	172	22	w	w	NOUN
fumecheng-4971	172	23	x	x	X
fumecheng-4971	172	24	.	.	PUNCT
fumecheng-4971	173	1	in	in	ADP
fumecheng-4971	173	2	the	the	DET
fumecheng-4971	173	3	following	following	NOUN
fumecheng-4971	173	4	these	these	DET
fumecheng-4971	173	5	shapes	shape	NOUN
fumecheng-4971	173	6	shall	shall	AUX
fumecheng-4971	173	7	be	be	AUX
fumecheng-4971	173	8	expanded	expand	VERB
fumecheng-4971	173	9	according	accord	VERB
fumecheng-4971	173	10	to	to	ADP
fumecheng-4971	173	11	eq	eq	PROPN
fumecheng-4971	173	12	.	.	PUNCT
fumecheng-4971	174	1	(	(	PUNCT
fumecheng-4971	174	2	7	7	NUM
fumecheng-4971	174	3	)	)	PUNCT
fumecheng-4971	174	4	,	,	PUNCT
fumecheng-4971	174	5	where	where	SCONJ
fumecheng-4971	174	6	coefficients	coefficient	NOUN
fumecheng-4971	174	7	ikâ	ikâ	PROPN
fumecheng-4971	174	8	are	be	AUX
fumecheng-4971	174	9	found	find	VERB
fumecheng-4971	174	10	from	from	ADP
fumecheng-4971	174	11	the	the	DET
fumecheng-4971	174	12	experimental	experimental	ADJ
fumecheng-4971	174	13	data	datum	NOUN
fumecheng-4971	174	14	using	use	VERB
fumecheng-4971	174	15	a	a	DET
fumecheng-4971	174	16	least	least	ADJ
fumecheng-4971	174	17	square	square	ADJ
fumecheng-4971	174	18	approach	approach	NOUN
fumecheng-4971	174	19	.	.	PUNCT
fumecheng-4971	175	1	as	as	ADP
fumecheng-4971	175	2	shape	shape	NOUN
fumecheng-4971	175	3	functions	function	NOUN
fumecheng-4971	175	4	wi(x	wi(x	NOUN
fumecheng-4971	175	5	)	)	PUNCT
fumecheng-4971	175	6	we	we	PRON
fumecheng-4971	175	7	take	take	VERB
fumecheng-4971	175	8	the	the	DET
fumecheng-4971	175	9	first	first	ADJ
fumecheng-4971	175	10	two	two	NUM
fumecheng-4971	175	11	eigenfunctions	eigenfunction	NOUN
fumecheng-4971	175	12	1	1	NOUN
fumecheng-4971	175	13	,	,	PUNCT
fumecheng-4971	175	14	2	2	NUM
fumecheng-4971	175	15	of	of	ADP
fumecheng-4971	175	16	the	the	DET
fumecheng-4971	175	17	beam	beam	NOUN
fumecheng-4971	175	18	as	as	SCONJ
fumecheng-4971	175	19	sketched	sketch	VERB
fumecheng-4971	175	20	in	in	ADP
fumecheng-4971	175	21	fig	fig	NOUN
fumecheng-4971	175	22	.	.	PUNCT
fumecheng-4971	176	1	5	5	NUM
fumecheng-4971	176	2	,	,	PUNCT
fumecheng-4971	176	3	i.e.	i.e.	X
fumecheng-4971	176	4	we	we	PRON
fumecheng-4971	176	5	limit	limit	VERB
fumecheng-4971	176	6	n	n	ADV
fumecheng-4971	176	7	by	by	ADP
fumecheng-4971	176	8	2	2	NUM
fumecheng-4971	176	9	,	,	PUNCT
fumecheng-4971	176	10	which	which	PRON
fumecheng-4971	176	11	means	mean	VERB
fumecheng-4971	176	12	i	i	PRON
fumecheng-4971	176	13	=	=	NOUN
fumecheng-4971	176	14	1	1	NUM
fumecheng-4971	176	15	,	,	PUNCT
fumecheng-4971	176	16	2	2	NUM
fumecheng-4971	176	17	.	.	PUNCT
fumecheng-4971	177	1	the	the	DET
fumecheng-4971	177	2	corresponding	correspond	VERB
fumecheng-4971	177	3	expansion	expansion	NOUN
fumecheng-4971	177	4	shows	show	NOUN
fumecheng-4971	177	5	,	,	PUNCT
fumecheng-4971	177	6	that	that	PRON
fumecheng-4971	177	7	shapes	shape	VERB
fumecheng-4971	177	8	1	1	NUM
fumecheng-4971	177	9	ˆ	ˆ	NOUN
fumecheng-4971	177	10	(	(	PUNCT
fumecheng-4971	177	11	)	)	PUNCT
fumecheng-4971	177	12	w	w	X
fumecheng-4971	177	13	x	x	NOUN
fumecheng-4971	177	14	are	be	AUX
fumecheng-4971	177	15	almost	almost	ADV
fumecheng-4971	177	16	identical	identical	ADJ
fumecheng-4971	177	17	to	to	ADP
fumecheng-4971	177	18	111	111	NUM
fumecheng-4971	177	19	ˆ	ˆ	NOUN
fumecheng-4971	177	20	a	a	NOUN
fumecheng-4971	177	21	,	,	PUNCT
fumecheng-4971	177	22	and	and	CCONJ
fumecheng-4971	177	23	0ˆ	0ˆ	ADJ
fumecheng-4971	177	24	21	21	NUM
fumecheng-4971	177	25	a	a	PUNCT
fumecheng-4971	177	26	(	(	PUNCT
fumecheng-4971	177	27	red	red	ADJ
fumecheng-4971	177	28	lines	line	NOUN
fumecheng-4971	177	29	in	in	ADP
fumecheng-4971	177	30	fig	fig	NOUN
fumecheng-4971	177	31	.	.	PUNCT
fumecheng-4971	178	1	11	11	NUM
fumecheng-4971	178	2	(	(	PUNCT
fumecheng-4971	178	3	top	top	NOUN
fumecheng-4971	178	4	)	)	PUNCT
fumecheng-4971	178	5	)	)	PUNCT
fumecheng-4971	178	6	.	.	PUNCT
fumecheng-4971	179	1	fig	fig	NOUN
fumecheng-4971	179	2	.	.	PUNCT
fumecheng-4971	180	1	11	11	NUM
fumecheng-4971	180	2	(	(	PUNCT
fumecheng-4971	180	3	bottom	bottom	NOUN
fumecheng-4971	180	4	)	)	PUNCT
fumecheng-4971	180	5	shows	show	VERB
fumecheng-4971	180	6	the	the	DET
fumecheng-4971	180	7	corresponding	correspond	VERB
fumecheng-4971	180	8	phases	phase	NOUN
fumecheng-4971	180	9	1	1	NUM
fumecheng-4971	180	10	~	~	PUNCT
fumecheng-4971	180	11	j	j	PROPN
fumecheng-4971	180	12	,	,	PUNCT
fumecheng-4971	180	13	which	which	PRON
fumecheng-4971	180	14	should	should	AUX
fumecheng-4971	180	15	be	be	AUX
fumecheng-4971	180	16	equal	equal	ADJ
fumecheng-4971	180	17	,	,	PUNCT
fumecheng-4971	180	18	or	or	CCONJ
fumecheng-4971	180	19	only	only	ADV
fumecheng-4971	180	20	have	have	VERB
fumecheng-4971	180	21	a	a	DET
fumecheng-4971	180	22	jump	jump	NOUN
fumecheng-4971	180	23	of	of	ADP
fumecheng-4971	180	24			NOUN
fumecheng-4971	180	25	at	at	ADP
fumecheng-4971	180	26	a	a	DET
fumecheng-4971	180	27	vibration	vibration	NOUN
fumecheng-4971	180	28	node	node	NOUN
fumecheng-4971	180	29	,	,	PUNCT
fumecheng-4971	180	30	for	for	ADP
fumecheng-4971	180	31	all	all	DET
fumecheng-4971	180	32	j	j	NOUN
fumecheng-4971	180	33	in	in	ADP
fumecheng-4971	180	34	order	order	NOUN
fumecheng-4971	180	35	to	to	PART
fumecheng-4971	180	36	allow	allow	VERB
fumecheng-4971	180	37	the	the	DET
fumecheng-4971	180	38	expansion	expansion	NOUN
fumecheng-4971	180	39	(	(	PUNCT
fumecheng-4971	180	40	4	4	NUM
fumecheng-4971	180	41	)	)	PUNCT
fumecheng-4971	180	42	.	.	PUNCT
fumecheng-4971	181	1	in	in	ADP
fumecheng-4971	181	2	fact	fact	NOUN
fumecheng-4971	181	3	,	,	PUNCT
fumecheng-4971	181	4	it	it	PRON
fumecheng-4971	181	5	can	can	AUX
fumecheng-4971	181	6	be	be	AUX
fumecheng-4971	181	7	seen	see	VERB
fumecheng-4971	181	8	that	that	SCONJ
fumecheng-4971	181	9	there	there	PRON
fumecheng-4971	181	10	are	be	VERB
fumecheng-4971	181	11	only	only	ADV
fumecheng-4971	181	12	small	small	ADJ
fumecheng-4971	181	13	deviations	deviation	NOUN
fumecheng-4971	181	14	occurring	occur	VERB
fumecheng-4971	181	15	mainly	mainly	ADV
fumecheng-4971	181	16	close	close	ADJ
fumecheng-4971	181	17	to	to	ADP
fumecheng-4971	181	18	the	the	DET
fumecheng-4971	181	19	clamping	clamping	NOUN
fumecheng-4971	181	20	,	,	PUNCT
fumecheng-4971	181	21	i.e.	i.e.	X
fumecheng-4971	181	22	at	at	ADP
fumecheng-4971	181	23	points	point	NOUN
fumecheng-4971	181	24	with	with	ADP
fumecheng-4971	181	25	only	only	ADJ
fumecheng-4971	181	26	small	small	ADJ
fumecheng-4971	181	27	displacements	displacement	NOUN
fumecheng-4971	181	28	.	.	PUNCT
fumecheng-4971	182	1	fig	fig	NOUN
fumecheng-4971	182	2	.	.	PUNCT
fumecheng-4971	183	1	11	11	NUM
fumecheng-4971	183	2	vibration	vibration	NOUN
fumecheng-4971	183	3	shape	shape	NOUN
fumecheng-4971	183	4	1	1	NUM
fumecheng-4971	183	5	ˆ	ˆ	NOUN
fumecheng-4971	183	6	ja	ja	PROPN
fumecheng-4971	183	7	of	of	ADP
fumecheng-4971	183	8	intrawell	intrawell	PROPN
fumecheng-4971	183	9	(	(	PUNCT
fumecheng-4971	183	10	top	top	NOUN
fumecheng-4971	183	11	left	left	ADJ
fumecheng-4971	183	12	)	)	PUNCT
fumecheng-4971	183	13	and	and	CCONJ
fumecheng-4971	183	14	interwell	interwell	INTJ
fumecheng-4971	183	15	(	(	PUNCT
fumecheng-4971	183	16	top	top	ADJ
fumecheng-4971	183	17	right	right	NOUN
fumecheng-4971	183	18	)	)	PUNCT
fumecheng-4971	183	19	for	for	ADP
fumecheng-4971	183	20	frequency	frequency	NOUN
fumecheng-4971	183	21	f	f	X
fumecheng-4971	183	22	=	=	X
fumecheng-4971	183	23	f0	f0	ADJ
fumecheng-4971	183	24	and	and	CCONJ
fumecheng-4971	183	25	corresponding	correspond	VERB
fumecheng-4971	183	26	phases	phase	NOUN
fumecheng-4971	183	27	j~	j~	PROPN
fumecheng-4971	183	28	beneath	beneath	ADV
fumecheng-4971	183	29	(	(	PUNCT
fumecheng-4971	183	30	setup	setup	PROPN
fumecheng-4971	183	31	ii	ii	PROPN
fumecheng-4971	183	32	)	)	PUNCT
fumecheng-4971	183	33	136	136	NUM
fumecheng-4971	183	34	m.-u	m.-u	NOUN
fumecheng-4971	183	35	.	.	PUNCT
fumecheng-4971	184	1	noll	noll	PROPN
fumecheng-4971	184	2	,	,	PUNCT
fumecheng-4971	184	3	l.	l.	PROPN
fumecheng-4971	184	4	lentz	lentz	PROPN
fumecheng-4971	184	5	,	,	PUNCT
fumecheng-4971	184	6	u.v	u.v	PROPN
fumecheng-4971	184	7	.	.	PROPN
fumecheng-4971	184	8	wagner	wagner	PROPN
fumecheng-4971	184	9	for	for	ADP
fumecheng-4971	184	10	the	the	DET
fumecheng-4971	184	11	intrawell	intrawell	PROPN
fumecheng-4971	184	12	solution	solution	NOUN
fumecheng-4971	184	13	fig	fig	NOUN
fumecheng-4971	184	14	.	.	PUNCT
fumecheng-4971	185	1	12	12	NUM
fumecheng-4971	185	2	shows	show	VERB
fumecheng-4971	185	3	the	the	DET
fumecheng-4971	185	4	2	2	NUM
fumecheng-4971	185	5	ˆ	ˆ	NOUN
fumecheng-4971	185	6	ja	ja	PROPN
fumecheng-4971	185	7	and	and	CCONJ
fumecheng-4971	185	8	3	3	NUM
fumecheng-4971	185	9	ˆ	ˆ	NOUN
fumecheng-4971	185	10	ja	ja	PROPN
fumecheng-4971	185	11	forming	form	VERB
fumecheng-4971	185	12	the	the	DET
fumecheng-4971	185	13	shapes	shape	NOUN
fumecheng-4971	185	14	2	2	NUM
fumecheng-4971	185	15	ˆ	ˆ	NOUN
fumecheng-4971	185	16	(	(	PUNCT
fumecheng-4971	185	17	)	)	PUNCT
fumecheng-4971	185	18	w	w	NOUN
fumecheng-4971	185	19	x	x	X
fumecheng-4971	185	20	and	and	CCONJ
fumecheng-4971	185	21	3	3	NUM
fumecheng-4971	185	22	ˆ	ˆ	PROPN
fumecheng-4971	185	23	(	(	PUNCT
fumecheng-4971	185	24	)	)	PUNCT
fumecheng-4971	185	25	w	w	NOUN
fumecheng-4971	185	26	x	x	SYM
fumecheng-4971	185	27	corresponding	correspond	VERB
fumecheng-4971	185	28	to	to	ADP
fumecheng-4971	185	29	twice	twice	ADV
fumecheng-4971	185	30	and	and	CCONJ
fumecheng-4971	185	31	three	three	NUM
fumecheng-4971	185	32	times	time	NOUN
fumecheng-4971	185	33	excitation	excitation	NOUN
fumecheng-4971	185	34	frequency	frequency	NOUN
fumecheng-4971	185	35	2f0	2f0	NUM
fumecheng-4971	185	36	and	and	CCONJ
fumecheng-4971	185	37	3f0	3f0	NUM
fumecheng-4971	185	38	.	.	PUNCT
fumecheng-4971	186	1	fig	fig	NOUN
fumecheng-4971	186	2	.	.	PUNCT
fumecheng-4971	187	1	12	12	NUM
fumecheng-4971	187	2	vibration	vibration	NOUN
fumecheng-4971	187	3	shape	shape	NOUN
fumecheng-4971	187	4	of	of	ADP
fumecheng-4971	187	5	intrawell	intrawell	NOUN
fumecheng-4971	187	6	oscillation	oscillation	NOUN
fumecheng-4971	187	7	for	for	ADP
fumecheng-4971	187	8	frequency	frequency	NOUN
fumecheng-4971	187	9	f	f	NOUN
fumecheng-4971	187	10	=	=	SYM
fumecheng-4971	187	11	2f0	2f0	NUM
fumecheng-4971	187	12	(	(	PUNCT
fumecheng-4971	187	13	left	leave	VERB
fumecheng-4971	187	14	)	)	PUNCT
fumecheng-4971	187	15	and	and	CCONJ
fumecheng-4971	187	16	f	f	X
fumecheng-4971	187	17	=	=	SYM
fumecheng-4971	188	1	3f0	3f0	NUM
fumecheng-4971	188	2	(	(	PUNCT
fumecheng-4971	188	3	right	right	NOUN
fumecheng-4971	188	4	)	)	PUNCT
fumecheng-4971	188	5	(	(	PUNCT
fumecheng-4971	188	6	setup	setup	NOUN
fumecheng-4971	188	7	ii	ii	PROPN
fumecheng-4971	188	8	)	)	PUNCT
fumecheng-4971	188	9	while	while	SCONJ
fumecheng-4971	188	10	2	2	NUM
fumecheng-4971	188	11	ˆ	ˆ	NOUN
fumecheng-4971	188	12	(	(	PUNCT
fumecheng-4971	188	13	)	)	PUNCT
fumecheng-4971	188	14	w	w	X
fumecheng-4971	188	15	x	x	PUNCT
fumecheng-4971	188	16	gives	give	VERB
fumecheng-4971	188	17	a	a	DET
fumecheng-4971	188	18	somewhat	somewhat	ADV
fumecheng-4971	188	19	smooth	smooth	ADJ
fumecheng-4971	188	20	curve	curve	NOUN
fumecheng-4971	189	1	there	there	PRON
fumecheng-4971	189	2	are	be	VERB
fumecheng-4971	189	3	several	several	ADJ
fumecheng-4971	189	4	small	small	ADJ
fumecheng-4971	189	5	deviations	deviation	NOUN
fumecheng-4971	189	6	in	in	ADP
fumecheng-4971	189	7	3	3	NUM
fumecheng-4971	189	8	ˆ	ˆ	NOUN
fumecheng-4971	189	9	(	(	PUNCT
fumecheng-4971	189	10	)	)	PUNCT
fumecheng-4971	189	11	w	w	NOUN
fumecheng-4971	189	12	x	x	X
fumecheng-4971	189	13	but	but	CCONJ
fumecheng-4971	189	14	the	the	DET
fumecheng-4971	189	15	shapes	shape	NOUN
fumecheng-4971	189	16	of	of	ADP
fumecheng-4971	189	17	both	both	DET
fumecheng-4971	189	18	functions	function	NOUN
fumecheng-4971	189	19	can	can	AUX
fumecheng-4971	189	20	be	be	AUX
fumecheng-4971	189	21	expanded	expand	VERB
fumecheng-4971	189	22	with	with	ADP
fumecheng-4971	189	23	the	the	DET
fumecheng-4971	189	24	chosen	choose	VERB
fumecheng-4971	189	25	ansatz	ansatz	ADJ
fumecheng-4971	189	26	functions	function	NOUN
fumecheng-4971	189	27	1	1	NOUN
fumecheng-4971	189	28	and	and	CCONJ
fumecheng-4971	189	29	2	2	PROPN
fumecheng-4971	189	30	.	.	PROPN
fumecheng-4971	189	31	fig	fig	NOUN
fumecheng-4971	189	32	.	.	PUNCT
fumecheng-4971	190	1	13	13	NUM
fumecheng-4971	190	2	shows	show	VERB
fumecheng-4971	190	3	this	this	DET
fumecheng-4971	190	4	step	step	NOUN
fumecheng-4971	190	5	in	in	ADP
fumecheng-4971	190	6	the	the	DET
fumecheng-4971	190	7	case	case	NOUN
fumecheng-4971	190	8	of	of	ADP
fumecheng-4971	190	9	the	the	DET
fumecheng-4971	190	10	interwell	interwell	ADJ
fumecheng-4971	190	11	solutions	solution	NOUN
fumecheng-4971	190	12	for	for	ADP
fumecheng-4971	190	13	shapes	shape	NOUN
fumecheng-4971	190	14	3	3	NUM
fumecheng-4971	190	15	ˆ	ˆ	NOUN
fumecheng-4971	190	16	(	(	PUNCT
fumecheng-4971	190	17	)	)	PUNCT
fumecheng-4971	190	18	w	w	PROPN
fumecheng-4971	190	19	x	x	SYM
fumecheng-4971	190	20	,	,	PUNCT
fumecheng-4971	190	21	5	5	NUM
fumecheng-4971	190	22	ˆ	ˆ	NOUN
fumecheng-4971	190	23	(	(	PUNCT
fumecheng-4971	190	24	)	)	PUNCT
fumecheng-4971	190	25	w	w	NOUN
fumecheng-4971	190	26	x	x	X
fumecheng-4971	190	27	and	and	CCONJ
fumecheng-4971	190	28	7	7	NUM
fumecheng-4971	190	29	ˆ	ˆ	NOUN
fumecheng-4971	190	30	(	(	PUNCT
fumecheng-4971	190	31	)	)	PUNCT
fumecheng-4971	190	32	w	w	NOUN
fumecheng-4971	190	33	x	x	X
fumecheng-4971	190	34	.	.	PUNCT
fumecheng-4971	191	1	all	all	DET
fumecheng-4971	191	2	shapes	shape	NOUN
fumecheng-4971	191	3	can	can	AUX
fumecheng-4971	191	4	be	be	AUX
fumecheng-4971	191	5	expanded	expand	VERB
fumecheng-4971	191	6	in	in	ADP
fumecheng-4971	191	7	good	good	ADJ
fumecheng-4971	191	8	approximation	approximation	NOUN
fumecheng-4971	191	9	by	by	ADP
fumecheng-4971	191	10	1	1	PROPN
fumecheng-4971	191	11	and	and	CCONJ
fumecheng-4971	191	12	2	2	PROPN
fumecheng-4971	191	13	.	.	PROPN
fumecheng-4971	191	14	fig	fig	NOUN
fumecheng-4971	191	15	.	.	PUNCT
fumecheng-4971	192	1	13	13	NUM
fumecheng-4971	192	2	vibration	vibration	NOUN
fumecheng-4971	192	3	shape	shape	NOUN
fumecheng-4971	192	4	for	for	ADP
fumecheng-4971	192	5	interwell	interwell	ADJ
fumecheng-4971	192	6	oscillation	oscillation	NOUN
fumecheng-4971	192	7	for	for	ADP
fumecheng-4971	192	8	frequency	frequency	NOUN
fumecheng-4971	192	9	f	f	NOUN
fumecheng-4971	192	10	=	=	SYM
fumecheng-4971	192	11	3f0	3f0	PROPN
fumecheng-4971	192	12	(	(	PUNCT
fumecheng-4971	192	13	left	left	ADV
fumecheng-4971	192	14	)	)	PUNCT
fumecheng-4971	192	15	,	,	PUNCT
fumecheng-4971	192	16	f	f	PROPN
fumecheng-4971	192	17	=	=	SYM
fumecheng-4971	192	18	5f0	5f0	PROPN
fumecheng-4971	192	19	(	(	PUNCT
fumecheng-4971	192	20	middle	middle	NOUN
fumecheng-4971	192	21	)	)	PUNCT
fumecheng-4971	192	22	and	and	CCONJ
fumecheng-4971	192	23	f	f	NOUN
fumecheng-4971	192	24	=	=	SYM
fumecheng-4971	192	25	7f0	7f0	NUM
fumecheng-4971	192	26	(	(	PUNCT
fumecheng-4971	192	27	right	right	ADJ
fumecheng-4971	192	28	)	)	PUNCT
fumecheng-4971	192	29	(	(	PUNCT
fumecheng-4971	192	30	setup	setup	PROPN
fumecheng-4971	192	31	ii	ii	PROPN
fumecheng-4971	192	32	)	)	PUNCT
fumecheng-4971	192	33	from	from	ADP
fumecheng-4971	192	34	these	these	DET
fumecheng-4971	192	35	results	result	NOUN
fumecheng-4971	192	36	it	it	PRON
fumecheng-4971	192	37	can	can	AUX
fumecheng-4971	192	38	be	be	AUX
fumecheng-4971	192	39	concluded	conclude	VERB
fumecheng-4971	192	40	that	that	SCONJ
fumecheng-4971	192	41	expansions	expansion	NOUN
fumecheng-4971	192	42	(	(	PUNCT
fumecheng-4971	192	43	3	3	NUM
fumecheng-4971	192	44	)	)	PUNCT
fumecheng-4971	192	45	and	and	CCONJ
fumecheng-4971	192	46	(	(	PUNCT
fumecheng-4971	192	47	10	10	NUM
fumecheng-4971	192	48	)	)	PUNCT
fumecheng-4971	192	49	,	,	PUNCT
fumecheng-4971	192	50	respectively	respectively	ADV
fumecheng-4971	192	51	,	,	PUNCT
fumecheng-4971	192	52	can	can	AUX
fumecheng-4971	192	53	give	give	VERB
fumecheng-4971	192	54	a	a	DET
fumecheng-4971	192	55	good	good	ADJ
fumecheng-4971	192	56	approximation	approximation	NOUN
fumecheng-4971	192	57	of	of	ADP
fumecheng-4971	192	58	the	the	DET
fumecheng-4971	192	59	experimentally	experimentally	ADV
fumecheng-4971	192	60	observed	observe	VERB
fumecheng-4971	192	61	shapes	shape	NOUN
fumecheng-4971	192	62	and	and	CCONJ
fumecheng-4971	192	63	that	that	SCONJ
fumecheng-4971	192	64	the	the	DET
fumecheng-4971	192	65	beam	beam	NOUN
fumecheng-4971	192	66	eigenshapes	eigenshape	NOUN
fumecheng-4971	192	67	are	be	AUX
fumecheng-4971	192	68	suitable	suitable	ADJ
fumecheng-4971	192	69	functions	function	NOUN
fumecheng-4971	192	70	for	for	ADP
fumecheng-4971	192	71	the	the	DET
fumecheng-4971	192	72	expansion	expansion	NOUN
fumecheng-4971	192	73	,	,	PUNCT
fumecheng-4971	192	74	which	which	PRON
fumecheng-4971	192	75	is	be	AUX
fumecheng-4971	192	76	in	in	ADP
fumecheng-4971	192	77	agreement	agreement	NOUN
fumecheng-4971	192	78	to	to	ADP
fumecheng-4971	192	79	most	most	ADV
fumecheng-4971	192	80	used	use	VERB
fumecheng-4971	192	81	models	model	NOUN
fumecheng-4971	192	82	in	in	ADP
fumecheng-4971	192	83	literature	literature	NOUN
fumecheng-4971	192	84	(	(	PUNCT
fumecheng-4971	192	85	cf	cf	NOUN
fumecheng-4971	192	86	.	.	PUNCT
fumecheng-4971	192	87	section	section	NOUN
fumecheng-4971	192	88	1	1	NUM
fumecheng-4971	192	89	)	)	PUNCT
fumecheng-4971	192	90	.	.	PUNCT
fumecheng-4971	193	1	on	on	ADP
fumecheng-4971	193	2	the	the	DET
fumecheng-4971	193	3	other	other	ADJ
fumecheng-4971	193	4	hand	hand	NOUN
fumecheng-4971	193	5	,	,	PUNCT
fumecheng-4971	193	6	the	the	DET
fumecheng-4971	193	7	shapes	shape	NOUN
fumecheng-4971	193	8	corresponding	correspond	VERB
fumecheng-4971	193	9	to	to	ADP
fumecheng-4971	193	10	the	the	DET
fumecheng-4971	193	11	superharmonics	superharmonic	NOUN
fumecheng-4971	193	12	k	k	PROPN
fumecheng-4971	193	13	with	with	ADP
fumecheng-4971	193	14	k>1	k>1	NOUN
fumecheng-4971	193	15	can	can	AUX
fumecheng-4971	193	16	only	only	ADV
fumecheng-4971	193	17	be	be	AUX
fumecheng-4971	193	18	suitably	suitably	ADV
fumecheng-4971	193	19	expanded	expand	VERB
fumecheng-4971	193	20	,	,	PUNCT
fumecheng-4971	193	21	when	when	SCONJ
fumecheng-4971	193	22	using	use	VERB
fumecheng-4971	193	23	at	at	ADV
fumecheng-4971	193	24	least	least	ADV
fumecheng-4971	193	25	two	two	NUM
fumecheng-4971	193	26	shape	shape	NOUN
fumecheng-4971	193	27	functions	function	NOUN
fumecheng-4971	193	28	in	in	ADP
fumecheng-4971	193	29	the	the	DET
fumecheng-4971	193	30	ritz	ritz	PROPN
fumecheng-4971	193	31	ansatz	ansatz	ADJ
fumecheng-4971	193	32	(	(	PUNCT
fumecheng-4971	193	33	1	1	NUM
fumecheng-4971	193	34	)	)	PUNCT
fumecheng-4971	193	35	,	,	PUNCT
fumecheng-4971	193	36	while	while	SCONJ
fumecheng-4971	193	37	most	most	ADJ
fumecheng-4971	193	38	publications	publication	NOUN
fumecheng-4971	193	39	restrict	restrict	VERB
fumecheng-4971	193	40	to	to	ADP
fumecheng-4971	193	41	a	a	DET
fumecheng-4971	193	42	single	single	ADJ
fumecheng-4971	193	43	one	one	NUM
fumecheng-4971	193	44	!	!	PUNCT
fumecheng-4971	194	1	on	on	ADP
fumecheng-4971	194	2	the	the	DET
fumecheng-4971	194	3	discretization	discretization	NOUN
fumecheng-4971	194	4	of	of	ADP
fumecheng-4971	194	5	a	a	DET
fumecheng-4971	194	6	bistable	bistable	ADJ
fumecheng-4971	194	7	cantilever	cantilever	NOUN
fumecheng-4971	194	8	beam	beam	NOUN
fumecheng-4971	194	9	with	with	ADP
fumecheng-4971	194	10	application	application	NOUN
fumecheng-4971	194	11	to	to	ADP
fumecheng-4971	194	12	energy	energy	NOUN
fumecheng-4971	194	13	harvesting	harvesting	NOUN
fumecheng-4971	194	14	137	137	NUM
fumecheng-4971	194	15	finally	finally	ADV
fumecheng-4971	194	16	,	,	PUNCT
fumecheng-4971	194	17	the	the	DET
fumecheng-4971	194	18	amplitude	amplitude	NOUN
fumecheng-4971	194	19	dependence	dependence	NOUN
fumecheng-4971	194	20	shall	shall	AUX
fumecheng-4971	194	21	be	be	AUX
fumecheng-4971	194	22	discussed	discuss	VERB
fumecheng-4971	194	23	.	.	PUNCT
fumecheng-4971	195	1	fig	fig	NOUN
fumecheng-4971	195	2	.	.	PUNCT
fumecheng-4971	196	1	14	14	NUM
fumecheng-4971	196	2	shows	show	VERB
fumecheng-4971	196	3	1	1	NUM
fumecheng-4971	196	4	ˆ	ˆ	NOUN
fumecheng-4971	196	5	ja	ja	PROPN
fumecheng-4971	196	6	forming	form	VERB
fumecheng-4971	196	7	shape	shape	NOUN
fumecheng-4971	196	8	3	3	NUM
fumecheng-4971	196	9	ˆ	ˆ	NOUN
fumecheng-4971	196	10	(	(	PUNCT
fumecheng-4971	196	11	)	)	PUNCT
fumecheng-4971	196	12	w	w	X
fumecheng-4971	196	13	x	x	NOUN
fumecheng-4971	196	14	in	in	ADP
fumecheng-4971	196	15	the	the	DET
fumecheng-4971	196	16	case	case	NOUN
fumecheng-4971	196	17	of	of	ADP
fumecheng-4971	196	18	the	the	DET
fumecheng-4971	196	19	intrawell	intrawell	NOUN
fumecheng-4971	196	20	(	(	PUNCT
fumecheng-4971	196	21	left	left	ADV
fumecheng-4971	196	22	)	)	PUNCT
fumecheng-4971	196	23	and	and	CCONJ
fumecheng-4971	196	24	the	the	DET
fumecheng-4971	196	25	interwell	interwell	ADJ
fumecheng-4971	196	26	solution	solution	NOUN
fumecheng-4971	196	27	(	(	PUNCT
fumecheng-4971	196	28	right	right	ADJ
fumecheng-4971	196	29	)	)	PUNCT
fumecheng-4971	196	30	in	in	ADP
fumecheng-4971	196	31	the	the	DET
fumecheng-4971	196	32	case	case	NOUN
fumecheng-4971	196	33	of	of	ADP
fumecheng-4971	196	34	different	different	ADJ
fumecheng-4971	196	35	excitation	excitation	NOUN
fumecheng-4971	196	36	and	and	CCONJ
fumecheng-4971	196	37	,	,	PUNCT
fumecheng-4971	196	38	therefore	therefore	ADV
fumecheng-4971	196	39	,	,	PUNCT
fumecheng-4971	196	40	response	response	NOUN
fumecheng-4971	196	41	amplitudes	amplitude	NOUN
fumecheng-4971	196	42	as	as	ADV
fumecheng-4971	196	43	well	well	ADV
fumecheng-4971	196	44	.	.	PUNCT
fumecheng-4971	197	1	the	the	DET
fumecheng-4971	197	2	shapes	shape	NOUN
fumecheng-4971	197	3	are	be	AUX
fumecheng-4971	197	4	almost	almost	ADV
fumecheng-4971	197	5	proportional	proportional	ADJ
fumecheng-4971	197	6	and	and	CCONJ
fumecheng-4971	197	7	are	be	AUX
fumecheng-4971	197	8	represented	represent	VERB
fumecheng-4971	197	9	for	for	ADP
fumecheng-4971	197	10	all	all	DET
fumecheng-4971	197	11	excitation	excitation	NOUN
fumecheng-4971	197	12	amplitudes	amplitude	NOUN
fumecheng-4971	197	13	in	in	ADP
fumecheng-4971	197	14	good	good	ADJ
fumecheng-4971	197	15	approximation	approximation	NOUN
fumecheng-4971	197	16	by	by	ADP
fumecheng-4971	197	17	1	1	PROPN
fumecheng-4971	197	18	.	.	PUNCT
fumecheng-4971	198	1	this	this	DET
fumecheng-4971	198	2	changes	change	NOUN
fumecheng-4971	198	3	for	for	ADP
fumecheng-4971	198	4	the	the	DET
fumecheng-4971	198	5	higher	high	ADJ
fumecheng-4971	198	6	harmonic	harmonic	ADJ
fumecheng-4971	198	7	shapes	shape	NOUN
fumecheng-4971	198	8	.	.	PUNCT
fumecheng-4971	199	1	in	in	ADP
fumecheng-4971	199	2	fig	fig	NOUN
fumecheng-4971	199	3	.	.	PUNCT
fumecheng-4971	200	1	15	15	NUM
fumecheng-4971	200	2	and	and	CCONJ
fumecheng-4971	200	3	16	16	NUM
fumecheng-4971	200	4	the	the	DET
fumecheng-4971	200	5	shapes	shape	NOUN
fumecheng-4971	200	6	for	for	ADP
fumecheng-4971	200	7	twice	twice	DET
fumecheng-4971	200	8	the	the	DET
fumecheng-4971	200	9	excitation	excitation	NOUN
fumecheng-4971	200	10	frequency	frequency	NOUN
fumecheng-4971	200	11	in	in	ADP
fumecheng-4971	200	12	the	the	DET
fumecheng-4971	200	13	case	case	NOUN
fumecheng-4971	200	14	of	of	ADP
fumecheng-4971	200	15	the	the	DET
fumecheng-4971	200	16	intrawell	intrawell	NOUN
fumecheng-4971	200	17	and	and	CCONJ
fumecheng-4971	200	18	three	three	NUM
fumecheng-4971	200	19	times	time	NOUN
fumecheng-4971	200	20	excitation	excitation	NOUN
fumecheng-4971	200	21	frequency	frequency	NOUN
fumecheng-4971	200	22	in	in	ADP
fumecheng-4971	200	23	the	the	DET
fumecheng-4971	200	24	case	case	NOUN
fumecheng-4971	200	25	of	of	ADP
fumecheng-4971	200	26	the	the	DET
fumecheng-4971	200	27	interwell	interwell	ADJ
fumecheng-4971	200	28	solution	solution	NOUN
fumecheng-4971	200	29	are	be	AUX
fumecheng-4971	200	30	displayed	display	VERB
fumecheng-4971	200	31	.	.	PUNCT
fumecheng-4971	201	1	it	it	PRON
fumecheng-4971	201	2	can	can	AUX
fumecheng-4971	201	3	be	be	AUX
fumecheng-4971	201	4	seen	see	VERB
fumecheng-4971	201	5	especially	especially	ADV
fumecheng-4971	201	6	in	in	ADP
fumecheng-4971	201	7	fig	fig	NOUN
fumecheng-4971	201	8	.	.	PUNCT
fumecheng-4971	202	1	15	15	NUM
fumecheng-4971	202	2	that	that	SCONJ
fumecheng-4971	202	3	the	the	DET
fumecheng-4971	202	4	corresponding	correspond	VERB
fumecheng-4971	202	5	shapes	shape	NOUN
fumecheng-4971	202	6	change	change	VERB
fumecheng-4971	202	7	with	with	ADP
fumecheng-4971	202	8	excitation	excitation	NOUN
fumecheng-4971	202	9	amplitude	amplitude	NOUN
fumecheng-4971	202	10	,	,	PUNCT
fumecheng-4971	202	11	but	but	CCONJ
fumecheng-4971	202	12	all	all	DET
fumecheng-4971	202	13	shapes	shape	NOUN
fumecheng-4971	202	14	can	can	AUX
fumecheng-4971	202	15	be	be	AUX
fumecheng-4971	202	16	very	very	ADV
fumecheng-4971	202	17	well	well	ADV
fumecheng-4971	202	18	approximated	approximate	VERB
fumecheng-4971	202	19	by	by	ADP
fumecheng-4971	202	20	1	1	NOUN
fumecheng-4971	202	21	and	and	CCONJ
fumecheng-4971	202	22	2	2	PROPN
fumecheng-4971	202	23	.	.	PROPN
fumecheng-4971	203	1	from	from	ADP
fumecheng-4971	203	2	this	this	PRON
fumecheng-4971	203	3	it	it	PRON
fumecheng-4971	203	4	follows	follow	VERB
fumecheng-4971	203	5	that	that	SCONJ
fumecheng-4971	203	6	the	the	DET
fumecheng-4971	203	7	ansatz	ansatz	ADJ
fumecheng-4971	203	8	(	(	PUNCT
fumecheng-4971	203	9	1	1	NUM
fumecheng-4971	203	10	)	)	PUNCT
fumecheng-4971	203	11	,	,	PUNCT
fumecheng-4971	203	12	(	(	PUNCT
fumecheng-4971	203	13	2	2	X
fumecheng-4971	203	14	)	)	PUNCT
fumecheng-4971	203	15	with	with	ADP
fumecheng-4971	203	16	w1,2	w1,2	PROPN
fumecheng-4971	203	17	=	=	SYM
fumecheng-4971	203	18	1,2	1,2	PROPN
fumecheng-4971	203	19	can	can	AUX
fumecheng-4971	203	20	represent	represent	VERB
fumecheng-4971	203	21	all	all	DET
fumecheng-4971	203	22	the	the	DET
fumecheng-4971	203	23	observed	observed	ADJ
fumecheng-4971	203	24	behavior	behavior	NOUN
fumecheng-4971	203	25	in	in	ADP
fumecheng-4971	203	26	good	good	ADJ
fumecheng-4971	203	27	approximation	approximation	NOUN
fumecheng-4971	203	28	,	,	PUNCT
fumecheng-4971	203	29	but	but	CCONJ
fumecheng-4971	203	30	at	at	ADV
fumecheng-4971	203	31	least	least	ADJ
fumecheng-4971	203	32	two	two	NUM
fumecheng-4971	203	33	ansatz	ansatz	ADJ
fumecheng-4971	203	34	functions	function	NOUN
fumecheng-4971	203	35	are	be	AUX
fumecheng-4971	203	36	necessary	necessary	ADJ
fumecheng-4971	203	37	while	while	SCONJ
fumecheng-4971	203	38	there	there	PRON
fumecheng-4971	203	39	is	be	VERB
fumecheng-4971	203	40	no	no	DET
fumecheng-4971	203	41	need	need	NOUN
fumecheng-4971	203	42	for	for	ADP
fumecheng-4971	203	43	amplitude	amplitude	NOUN
fumecheng-4971	203	44	dependent	dependent	ADJ
fumecheng-4971	203	45	(	(	PUNCT
fumecheng-4971	203	46	nonlinear	nonlinear	ADJ
fumecheng-4971	203	47	)	)	PUNCT
fumecheng-4971	203	48	ansatz	ansatz	ADJ
fumecheng-4971	203	49	functions	function	NOUN
fumecheng-4971	203	50	in	in	ADP
fumecheng-4971	203	51	that	that	DET
fumecheng-4971	203	52	case	case	NOUN
fumecheng-4971	203	53	.	.	PUNCT
fumecheng-4971	204	1	fig	fig	NOUN
fumecheng-4971	204	2	.	.	PUNCT
fumecheng-4971	205	1	14	14	NUM
fumecheng-4971	205	2	vibration	vibration	NOUN
fumecheng-4971	205	3	shape	shape	NOUN
fumecheng-4971	205	4	for	for	ADP
fumecheng-4971	205	5	frequency	frequency	NOUN
fumecheng-4971	205	6	f	f	X
fumecheng-4971	205	7	=	=	X
fumecheng-4971	205	8	f0	f0	PROPN
fumecheng-4971	205	9	for	for	ADP
fumecheng-4971	205	10	different	different	ADJ
fumecheng-4971	205	11	amplitudes	amplitude	NOUN
fumecheng-4971	205	12	of	of	ADP
fumecheng-4971	205	13	the	the	DET
fumecheng-4971	205	14	excitation	excitation	NOUN
fumecheng-4971	205	15	(	(	PUNCT
fumecheng-4971	205	16	intrawell	intrawell	NOUN
fumecheng-4971	205	17	left	leave	VERB
fumecheng-4971	205	18	,	,	PUNCT
fumecheng-4971	205	19	interwell	interwell	ADJ
fumecheng-4971	205	20	right	right	ADJ
fumecheng-4971	205	21	)	)	PUNCT
fumecheng-4971	205	22	fig	fig	NOUN
fumecheng-4971	205	23	.	.	PUNCT
fumecheng-4971	206	1	15	15	NUM
fumecheng-4971	206	2	vibration	vibration	NOUN
fumecheng-4971	206	3	shape	shape	NOUN
fumecheng-4971	206	4	for	for	ADP
fumecheng-4971	206	5	frequency	frequency	NOUN
fumecheng-4971	206	6	f=2f0	f=2f0	PROPN
fumecheng-4971	206	7	(	(	PUNCT
fumecheng-4971	206	8	intrawell	intrawell	PROPN
fumecheng-4971	206	9	)	)	PUNCT
fumecheng-4971	206	10	for	for	ADP
fumecheng-4971	206	11	different	different	ADJ
fumecheng-4971	206	12	amplitudes	amplitude	NOUN
fumecheng-4971	206	13	of	of	ADP
fumecheng-4971	206	14	the	the	DET
fumecheng-4971	206	15	excitation	excitation	NOUN
fumecheng-4971	206	16	fig	fig	NOUN
fumecheng-4971	206	17	.	.	PUNCT
fumecheng-4971	207	1	16	16	NUM
fumecheng-4971	207	2	vibration	vibration	NOUN
fumecheng-4971	207	3	shape	shape	NOUN
fumecheng-4971	207	4	for	for	ADP
fumecheng-4971	207	5	frequency	frequency	NOUN
fumecheng-4971	207	6	f=3f0	f=3f0	PROPN
fumecheng-4971	207	7	(	(	PUNCT
fumecheng-4971	207	8	interwell	interwell	PROPN
fumecheng-4971	207	9	)	)	PUNCT
fumecheng-4971	207	10	for	for	ADP
fumecheng-4971	207	11	different	different	ADJ
fumecheng-4971	207	12	amplitudes	amplitude	NOUN
fumecheng-4971	207	13	of	of	ADP
fumecheng-4971	207	14	the	the	DET
fumecheng-4971	207	15	excitation	excitation	NOUN
fumecheng-4971	207	16	138	138	NUM
fumecheng-4971	207	17	m.-u	m.-u	NOUN
fumecheng-4971	207	18	.	.	PUNCT
fumecheng-4971	208	1	noll	noll	PROPN
fumecheng-4971	208	2	,	,	PUNCT
fumecheng-4971	208	3	l.	l.	PROPN
fumecheng-4971	208	4	lentz	lentz	PROPN
fumecheng-4971	208	5	,	,	PUNCT
fumecheng-4971	208	6	u.v	u.v	PROPN
fumecheng-4971	208	7	.	.	PROPN
fumecheng-4971	208	8	wagner	wagner	PROPN
fumecheng-4971	208	9	4	4	NUM
fumecheng-4971	208	10	.	.	PUNCT
fumecheng-4971	209	1	conclusions	conclusion	NOUN
fumecheng-4971	209	2	energy	energy	NOUN
fumecheng-4971	209	3	harvesting	harvesting	NOUN
fumecheng-4971	209	4	performed	perform	VERB
fumecheng-4971	209	5	by	by	ADP
fumecheng-4971	209	6	a	a	DET
fumecheng-4971	209	7	bistable	bistable	ADJ
fumecheng-4971	209	8	cantilever	cantilever	NOUN
fumecheng-4971	209	9	beam	beam	NOUN
fumecheng-4971	209	10	has	have	AUX
fumecheng-4971	209	11	attracted	attract	VERB
fumecheng-4971	209	12	much	much	ADJ
fumecheng-4971	209	13	attention	attention	NOUN
fumecheng-4971	209	14	.	.	PUNCT
fumecheng-4971	210	1	in	in	ADP
fumecheng-4971	210	2	general	general	ADJ
fumecheng-4971	210	3	,	,	PUNCT
fumecheng-4971	210	4	the	the	DET
fumecheng-4971	210	5	beam	beam	NOUN
fumecheng-4971	210	6	is	be	AUX
fumecheng-4971	210	7	in	in	ADP
fumecheng-4971	210	8	corresponding	correspond	VERB
fumecheng-4971	210	9	modeling	modeling	NOUN
fumecheng-4971	210	10	discretized	discretize	VERB
fumecheng-4971	210	11	by	by	ADP
fumecheng-4971	210	12	the	the	DET
fumecheng-4971	210	13	first	first	ADJ
fumecheng-4971	210	14	eigenshape	eigenshape	NOUN
fumecheng-4971	210	15	of	of	ADP
fumecheng-4971	210	16	the	the	DET
fumecheng-4971	210	17	linear	linear	ADJ
fumecheng-4971	210	18	beam	beam	NOUN
fumecheng-4971	210	19	in	in	ADP
fumecheng-4971	210	20	a	a	DET
fumecheng-4971	210	21	corresponding	corresponding	ADJ
fumecheng-4971	210	22	mixed	mixed	ADJ
fumecheng-4971	210	23	ritz	ritz	PROPN
fumecheng-4971	210	24	ansatz	ansatz	NOUN
fumecheng-4971	210	25	.	.	PUNCT
fumecheng-4971	211	1	in	in	ADP
fumecheng-4971	211	2	this	this	DET
fumecheng-4971	211	3	paper	paper	NOUN
fumecheng-4971	211	4	,	,	PUNCT
fumecheng-4971	211	5	this	this	DET
fumecheng-4971	211	6	common	common	ADJ
fumecheng-4971	211	7	assumption	assumption	NOUN
fumecheng-4971	211	8	has	have	AUX
fumecheng-4971	211	9	been	be	AUX
fumecheng-4971	211	10	proofed	proof	VERB
fumecheng-4971	211	11	for	for	ADP
fumecheng-4971	211	12	suitability	suitability	NOUN
fumecheng-4971	211	13	.	.	PUNCT
fumecheng-4971	212	1	therefore	therefore	ADV
fumecheng-4971	212	2	,	,	PUNCT
fumecheng-4971	212	3	the	the	DET
fumecheng-4971	212	4	beam	beam	NOUN
fumecheng-4971	212	5	has	have	AUX
fumecheng-4971	212	6	been	be	AUX
fumecheng-4971	212	7	harmonically	harmonically	ADV
fumecheng-4971	212	8	excited	excited	ADJ
fumecheng-4971	212	9	and	and	CCONJ
fumecheng-4971	212	10	corresponding	correspond	VERB
fumecheng-4971	212	11	response	response	NOUN
fumecheng-4971	212	12	vibrations	vibration	NOUN
fumecheng-4971	212	13	have	have	AUX
fumecheng-4971	212	14	been	be	AUX
fumecheng-4971	212	15	captured	capture	VERB
fumecheng-4971	212	16	by	by	ADP
fumecheng-4971	212	17	a	a	DET
fumecheng-4971	212	18	high	high	ADJ
fumecheng-4971	212	19	-	-	PUNCT
fumecheng-4971	212	20	speed	speed	NOUN
fumecheng-4971	212	21	camera	camera	NOUN
fumecheng-4971	212	22	.	.	PUNCT
fumecheng-4971	213	1	distinct	distinct	ADJ
fumecheng-4971	213	2	markers	marker	NOUN
fumecheng-4971	213	3	have	have	AUX
fumecheng-4971	213	4	been	be	AUX
fumecheng-4971	213	5	applied	apply	VERB
fumecheng-4971	213	6	to	to	ADP
fumecheng-4971	213	7	the	the	DET
fumecheng-4971	213	8	beam	beam	NOUN
fumecheng-4971	213	9	and	and	CCONJ
fumecheng-4971	213	10	their	their	PRON
fumecheng-4971	213	11	positions	position	NOUN
fumecheng-4971	213	12	were	be	AUX
fumecheng-4971	213	13	tracked	track	VERB
fumecheng-4971	213	14	over	over	ADP
fumecheng-4971	213	15	a	a	DET
fumecheng-4971	213	16	series	series	NOUN
fumecheng-4971	213	17	of	of	ADP
fumecheng-4971	213	18	frames	frame	NOUN
fumecheng-4971	213	19	.	.	PUNCT
fumecheng-4971	214	1	in	in	ADP
fumecheng-4971	214	2	accordance	accordance	NOUN
fumecheng-4971	214	3	with	with	ADP
fumecheng-4971	214	4	the	the	DET
fumecheng-4971	214	5	ritz	ritz	PROPN
fumecheng-4971	214	6	ansatz	ansatz	ADJ
fumecheng-4971	214	7	in	in	ADP
fumecheng-4971	214	8	theory	theory	NOUN
fumecheng-4971	214	9	the	the	DET
fumecheng-4971	214	10	experimental	experimental	ADJ
fumecheng-4971	214	11	results	result	NOUN
fumecheng-4971	214	12	have	have	AUX
fumecheng-4971	214	13	been	be	AUX
fumecheng-4971	214	14	analyzed	analyze	VERB
fumecheng-4971	214	15	for	for	ADP
fumecheng-4971	214	16	both	both	CCONJ
fumecheng-4971	214	17	intrawell	intrawell	NOUN
fumecheng-4971	214	18	and	and	CCONJ
fumecheng-4971	214	19	interwell	interwell	ADJ
fumecheng-4971	214	20	solution	solution	NOUN
fumecheng-4971	214	21	performing	perform	VERB
fumecheng-4971	214	22	the	the	DET
fumecheng-4971	214	23	following	follow	VERB
fumecheng-4971	214	24	steps	step	NOUN
fumecheng-4971	214	25	:	:	PUNCT
fumecheng-4971	214	26	first	first	ADV
fumecheng-4971	214	27	a	a	DET
fumecheng-4971	214	28	fourier	fourier	ADJ
fumecheng-4971	214	29	expansion	expansion	NOUN
fumecheng-4971	214	30	of	of	ADP
fumecheng-4971	214	31	the	the	DET
fumecheng-4971	214	32	responses	response	NOUN
fumecheng-4971	214	33	has	have	AUX
fumecheng-4971	214	34	been	be	AUX
fumecheng-4971	214	35	performed	perform	VERB
fumecheng-4971	214	36	.	.	PUNCT
fumecheng-4971	215	1	as	as	SCONJ
fumecheng-4971	215	2	there	there	PRON
fumecheng-4971	215	3	was	be	VERB
fumecheng-4971	215	4	no	no	DET
fumecheng-4971	215	5	period	period	NOUN
fumecheng-4971	215	6	multiplication	multiplication	NOUN
fumecheng-4971	215	7	only	only	ADV
fumecheng-4971	215	8	the	the	DET
fumecheng-4971	215	9	excitation	excitation	NOUN
fumecheng-4971	215	10	frequency	frequency	NOUN
fumecheng-4971	215	11	and	and	CCONJ
fumecheng-4971	215	12	superharmonics	superharmonic	NOUN
fumecheng-4971	215	13	exist	exist	VERB
fumecheng-4971	215	14	in	in	ADP
fumecheng-4971	215	15	the	the	DET
fumecheng-4971	215	16	responses	response	NOUN
fumecheng-4971	215	17	.	.	PUNCT
fumecheng-4971	216	1	for	for	ADP
fumecheng-4971	216	2	these	these	DET
fumecheng-4971	216	3	harmonics	harmonic	NOUN
fumecheng-4971	216	4	,	,	PUNCT
fumecheng-4971	216	5	corresponding	correspond	VERB
fumecheng-4971	216	6	shapes	shape	NOUN
fumecheng-4971	216	7	could	could	AUX
fumecheng-4971	216	8	be	be	AUX
fumecheng-4971	216	9	identified	identify	VERB
fumecheng-4971	216	10	which	which	PRON
fumecheng-4971	216	11	are	be	AUX
fumecheng-4971	216	12	afterwards	afterwards	ADV
fumecheng-4971	216	13	expanded	expand	VERB
fumecheng-4971	216	14	in	in	ADP
fumecheng-4971	216	15	the	the	DET
fumecheng-4971	216	16	two	two	NUM
fumecheng-4971	216	17	first	first	ADJ
fumecheng-4971	216	18	eigenfunctions	eigenfunction	NOUN
fumecheng-4971	216	19	of	of	ADP
fumecheng-4971	216	20	the	the	DET
fumecheng-4971	216	21	undeflected	undeflected	ADJ
fumecheng-4971	216	22	cantilever	cantilever	NOUN
fumecheng-4971	216	23	beam	beam	NOUN
fumecheng-4971	216	24	.	.	PUNCT
fumecheng-4971	217	1	the	the	DET
fumecheng-4971	217	2	results	result	NOUN
fumecheng-4971	217	3	show	show	VERB
fumecheng-4971	217	4	that	that	SCONJ
fumecheng-4971	217	5	the	the	DET
fumecheng-4971	217	6	general	general	ADJ
fumecheng-4971	217	7	ansatz	ansatz	VERB
fumecheng-4971	217	8	to	to	PART
fumecheng-4971	217	9	separate	separate	VERB
fumecheng-4971	217	10	the	the	DET
fumecheng-4971	217	11	solution	solution	NOUN
fumecheng-4971	217	12	of	of	ADP
fumecheng-4971	217	13	the	the	DET
fumecheng-4971	217	14	beam	beam	NOUN
fumecheng-4971	217	15	vibration	vibration	NOUN
fumecheng-4971	217	16	into	into	ADP
fumecheng-4971	217	17	a	a	DET
fumecheng-4971	217	18	product	product	NOUN
fumecheng-4971	217	19	of	of	ADP
fumecheng-4971	217	20	functions	function	NOUN
fumecheng-4971	217	21	depending	depend	VERB
fumecheng-4971	217	22	on	on	ADP
fumecheng-4971	217	23	t	t	PROPN
fumecheng-4971	217	24	and	and	CCONJ
fumecheng-4971	217	25	x	x	PRON
fumecheng-4971	217	26	respectively	respectively	ADV
fumecheng-4971	217	27	is	be	AUX
fumecheng-4971	217	28	possible	possible	ADJ
fumecheng-4971	217	29	and	and	CCONJ
fumecheng-4971	217	30	sufficient	sufficient	ADJ
fumecheng-4971	217	31	.	.	PUNCT
fumecheng-4971	218	1	on	on	ADP
fumecheng-4971	218	2	the	the	DET
fumecheng-4971	218	3	other	other	ADJ
fumecheng-4971	218	4	hand	hand	NOUN
fumecheng-4971	218	5	,	,	PUNCT
fumecheng-4971	218	6	a	a	DET
fumecheng-4971	218	7	good	good	ADJ
fumecheng-4971	218	8	approximation	approximation	NOUN
fumecheng-4971	218	9	of	of	ADP
fumecheng-4971	218	10	the	the	DET
fumecheng-4971	218	11	experimentally	experimentally	ADV
fumecheng-4971	218	12	observed	observe	VERB
fumecheng-4971	218	13	shapes	shape	NOUN
fumecheng-4971	218	14	can	can	AUX
fumecheng-4971	218	15	only	only	ADV
fumecheng-4971	218	16	be	be	AUX
fumecheng-4971	218	17	reached	reach	VERB
fumecheng-4971	218	18	if	if	SCONJ
fumecheng-4971	218	19	at	at	ADV
fumecheng-4971	218	20	least	least	ADV
fumecheng-4971	218	21	two	two	NUM
fumecheng-4971	218	22	ansatz	ansatz	ADJ
fumecheng-4971	218	23	functions	function	NOUN
fumecheng-4971	218	24	are	be	AUX
fumecheng-4971	218	25	applied	apply	VERB
fumecheng-4971	218	26	.	.	PUNCT
fumecheng-4971	219	1	only	only	ADV
fumecheng-4971	219	2	for	for	ADP
fumecheng-4971	219	3	considering	consider	VERB
fumecheng-4971	219	4	the	the	DET
fumecheng-4971	219	5	excitation	excitation	NOUN
fumecheng-4971	219	6	frequency	frequency	NOUN
fumecheng-4971	219	7	in	in	ADP
fumecheng-4971	219	8	the	the	DET
fumecheng-4971	219	9	response	response	NOUN
fumecheng-4971	219	10	a	a	DET
fumecheng-4971	219	11	single	single	ADJ
fumecheng-4971	219	12	ansatz	ansatz	ADJ
fumecheng-4971	219	13	function	function	NOUN
fumecheng-4971	219	14	is	be	AUX
fumecheng-4971	219	15	sufficient	sufficient	ADJ
fumecheng-4971	219	16	while	while	NOUN
fumecheng-4971	219	17	for	for	ADP
fumecheng-4971	219	18	superharmonics	superharmonic	NOUN
fumecheng-4971	219	19	a	a	DET
fumecheng-4971	219	20	second	second	ADJ
fumecheng-4971	219	21	ansatz	ansatz	ADJ
fumecheng-4971	219	22	function	function	NOUN
fumecheng-4971	219	23	is	be	AUX
fumecheng-4971	219	24	needed	need	VERB
fumecheng-4971	219	25	to	to	PART
fumecheng-4971	219	26	sufficiently	sufficiently	ADV
fumecheng-4971	219	27	approximate	approximate	VERB
fumecheng-4971	219	28	the	the	DET
fumecheng-4971	219	29	observed	observe	VERB
fumecheng-4971	219	30	vibration	vibration	NOUN
fumecheng-4971	219	31	shapes	shape	NOUN
fumecheng-4971	219	32	.	.	PUNCT
fumecheng-4971	220	1	further	far	ADV
fumecheng-4971	220	2	,	,	PUNCT
fumecheng-4971	220	3	the	the	DET
fumecheng-4971	220	4	existing	exist	VERB
fumecheng-4971	220	5	amplitude	amplitude	NOUN
fumecheng-4971	220	6	-	-	PUNCT
fumecheng-4971	220	7	dependence	dependence	NOUN
fumecheng-4971	220	8	of	of	ADP
fumecheng-4971	220	9	the	the	DET
fumecheng-4971	220	10	shapes	shape	NOUN
fumecheng-4971	220	11	due	due	ADP
fumecheng-4971	220	12	to	to	ADP
fumecheng-4971	220	13	the	the	DET
fumecheng-4971	220	14	nonlinearities	nonlinearitie	NOUN
fumecheng-4971	220	15	,	,	PUNCT
fumecheng-4971	220	16	can	can	AUX
fumecheng-4971	220	17	also	also	ADV
fumecheng-4971	220	18	be	be	AUX
fumecheng-4971	220	19	covered	cover	VERB
fumecheng-4971	220	20	by	by	ADP
fumecheng-4971	220	21	the	the	DET
fumecheng-4971	220	22	two	two	NUM
fumecheng-4971	220	23	ansatz	ansatz	ADJ
fumecheng-4971	220	24	functions	function	NOUN
fumecheng-4971	220	25	.	.	PUNCT
fumecheng-4971	221	1	acknowledgements	acknowledgement	NOUN
fumecheng-4971	221	2	:	:	PUNCT
fumecheng-4971	221	3	this	this	DET
fumecheng-4971	221	4	work	work	NOUN
fumecheng-4971	221	5	has	have	AUX
fumecheng-4971	221	6	been	be	AUX
fumecheng-4971	221	7	funded	fund	VERB
fumecheng-4971	221	8	by	by	ADP
fumecheng-4971	221	9	deutsche	deutsche	PROPN
fumecheng-4971	221	10	forschungsgemeinschaft	forschungsgemeinschaft	NOUN
fumecheng-4971	221	11	(	(	PUNCT
fumecheng-4971	221	12	dfg	dfg	PROPN
fumecheng-4971	221	13	)	)	PUNCT
fumecheng-4971	221	14	by	by	ADP
fumecheng-4971	221	15	grant	grant	PROPN
fumecheng-4971	221	16	wa	wa	PROPN
fumecheng-4971	221	17	1427/23,2	1427/23,2	PROPN
fumecheng-4971	221	18	.	.	PUNCT
fumecheng-4971	222	1	references	reference	NOUN
fumecheng-4971	222	2	1	1	NUM
fumecheng-4971	222	3	.	.	X
fumecheng-4971	222	4	priya	priya	PROPN
fumecheng-4971	222	5	,	,	PUNCT
fumecheng-4971	222	6	s.	s.	PROPN
fumecheng-4971	222	7	,	,	PUNCT
fumecheng-4971	222	8	2007	2007	NUM
fumecheng-4971	222	9	,	,	PUNCT
fumecheng-4971	222	10	advances	advance	NOUN
fumecheng-4971	222	11	in	in	ADP
fumecheng-4971	222	12	energy	energy	NOUN
fumecheng-4971	222	13	harvesting	harvesting	NOUN
fumecheng-4971	222	14	using	use	VERB
fumecheng-4971	222	15	low	low	ADJ
fumecheng-4971	222	16	profile	profile	NOUN
fumecheng-4971	222	17	piezoelectric	piezoelectric	NOUN
fumecheng-4971	222	18	transducers	transducer	NOUN
fumecheng-4971	222	19	,	,	PUNCT
fumecheng-4971	222	20	journal	journal	NOUN
fumecheng-4971	222	21	of	of	ADP
fumecheng-4971	222	22	electroceramics	electroceramic	NOUN
fumecheng-4971	222	23	,	,	PUNCT
fumecheng-4971	222	24	19	19	NUM
fumecheng-4971	222	25	,	,	PUNCT
fumecheng-4971	222	26	pp	pp	ADJ
fumecheng-4971	222	27	.	.	PUNCT
fumecheng-4971	223	1	165	165	NUM
fumecheng-4971	223	2	-	-	SYM
fumecheng-4971	223	3	182	182	NUM
fumecheng-4971	223	4	.	.	PUNCT
fumecheng-4971	224	1	2	2	NUM
fumecheng-4971	224	2	.	.	X
fumecheng-4971	224	3	erturk	erturk	PROPN
fumecheng-4971	224	4	,	,	PUNCT
fumecheng-4971	224	5	a.	a.	PROPN
fumecheng-4971	224	6	,	,	PUNCT
fumecheng-4971	224	7	inman	inman	PROPN
fumecheng-4971	224	8	,	,	PUNCT
fumecheng-4971	224	9	d.	d.	PROPN
fumecheng-4971	224	10	,	,	PUNCT
fumecheng-4971	224	11	2009	2009	NUM
fumecheng-4971	224	12	,	,	PUNCT
fumecheng-4971	224	13	a	a	DET
fumecheng-4971	224	14	piezomagnetoelastic	piezomagnetoelastic	ADJ
fumecheng-4971	224	15	structure	structure	NOUN
fumecheng-4971	224	16	for	for	ADP
fumecheng-4971	224	17	broadband	broadband	NOUN
fumecheng-4971	224	18	vibration	vibration	NOUN
fumecheng-4971	224	19	energy	energy	NOUN
fumecheng-4971	224	20	harvesting	harvesting	NOUN
fumecheng-4971	224	21	,	,	PUNCT
fumecheng-4971	224	22	applied	apply	VERB
fumecheng-4971	224	23	physics	physics	NOUN
fumecheng-4971	224	24	letters	letter	NOUN
fumecheng-4971	224	25	,	,	PUNCT
fumecheng-4971	224	26	94	94	NUM
fumecheng-4971	224	27	,	,	PUNCT
fumecheng-4971	224	28	254102	254102	NUM
fumecheng-4971	224	29	.	.	PUNCT
fumecheng-4971	225	1	3	3	X
fumecheng-4971	225	2	.	.	X
fumecheng-4971	225	3	noll	noll	PROPN
fumecheng-4971	225	4	,	,	PUNCT
fumecheng-4971	225	5	m.-u	m.-u	PROPN
fumecheng-4971	225	6	.	.	PUNCT
fumecheng-4971	225	7	,	,	PUNCT
fumecheng-4971	225	8	2018	2018	NUM
fumecheng-4971	225	9	,	,	PUNCT
fumecheng-4971	225	10	energy	energy	NOUN
fumecheng-4971	225	11	harvesting	harvesting	NOUN
fumecheng-4971	225	12	system	system	NOUN
fumecheng-4971	225	13	,	,	PUNCT
fumecheng-4971	225	14	doi:10.6084	doi:10.6084	NOUN
fumecheng-4971	225	15	/	/	SYM
fumecheng-4971	225	16	m9.figshare.7492208.v1	m9.figshare.7492208.v1	NOUN
fumecheng-4971	225	17	.	.	PUNCT
fumecheng-4971	226	1	4	4	X
fumecheng-4971	226	2	.	.	X
fumecheng-4971	226	3	mann	mann	PROPN
fumecheng-4971	226	4	,	,	PUNCT
fumecheng-4971	226	5	b.	b.	PROPN
fumecheng-4971	226	6	p.	p.	PROPN
fumecheng-4971	226	7	,	,	PUNCT
fumecheng-4971	226	8	owens	owens	PROPN
fumecheng-4971	226	9	,	,	PUNCT
fumecheng-4971	226	10	b.	b.	PROPN
fumecheng-4971	226	11	,	,	PUNCT
fumecheng-4971	226	12	2010	2010	NUM
fumecheng-4971	226	13	,	,	PUNCT
fumecheng-4971	226	14	investigations	investigation	NOUN
fumecheng-4971	226	15	of	of	ADP
fumecheng-4971	226	16	a	a	DET
fumecheng-4971	226	17	nonlinear	nonlinear	ADJ
fumecheng-4971	226	18	energy	energy	NOUN
fumecheng-4971	226	19	harvester	harvester	NOUN
fumecheng-4971	226	20	with	with	ADP
fumecheng-4971	226	21	a	a	DET
fumecheng-4971	226	22	bistable	bistable	ADJ
fumecheng-4971	226	23	potential	potential	NOUN
fumecheng-4971	226	24	well	well	NOUN
fumecheng-4971	226	25	,	,	PUNCT
fumecheng-4971	226	26	journal	journal	NOUN
fumecheng-4971	226	27	of	of	ADP
fumecheng-4971	226	28	sound	sound	NOUN
fumecheng-4971	226	29	and	and	CCONJ
fumecheng-4971	226	30	vibration	vibration	NOUN
fumecheng-4971	226	31	,	,	PUNCT
fumecheng-4971	226	32	329(9	329(9	NUM
fumecheng-4971	226	33	)	)	PUNCT
fumecheng-4971	226	34	,	,	PUNCT
fumecheng-4971	226	35	pp	pp	ADJ
fumecheng-4971	226	36	.	.	PUNCT
fumecheng-4971	227	1	1215	1215	NUM
fumecheng-4971	227	2	-	-	SYM
fumecheng-4971	227	3	1226	1226	NUM
fumecheng-4971	227	4	.	.	PUNCT
fumecheng-4971	228	1	5	5	X
fumecheng-4971	228	2	.	.	X
fumecheng-4971	228	3	harne	harne	PROPN
fumecheng-4971	228	4	,	,	PUNCT
fumecheng-4971	228	5	r.	r.	PROPN
fumecheng-4971	228	6	,	,	PUNCT
fumecheng-4971	228	7	wang	wang	PROPN
fumecheng-4971	228	8	,	,	PUNCT
fumecheng-4971	228	9	k.	k.	PROPN
fumecheng-4971	228	10	,	,	PUNCT
fumecheng-4971	228	11	2013	2013	NUM
fumecheng-4971	228	12	,	,	PUNCT
fumecheng-4971	228	13	a	a	DET
fumecheng-4971	228	14	review	review	NOUN
fumecheng-4971	228	15	of	of	ADP
fumecheng-4971	228	16	the	the	DET
fumecheng-4971	228	17	recent	recent	ADJ
fumecheng-4971	228	18	research	research	NOUN
fumecheng-4971	228	19	on	on	ADP
fumecheng-4971	228	20	vibration	vibration	NOUN
fumecheng-4971	228	21	energy	energy	NOUN
fumecheng-4971	228	22	harvesting	harvesting	NOUN
fumecheng-4971	228	23	via	via	ADP
fumecheng-4971	228	24	bistable	bistable	ADJ
fumecheng-4971	228	25	systems	system	NOUN
fumecheng-4971	228	26	,	,	PUNCT
fumecheng-4971	228	27	smart	smart	ADJ
fumecheng-4971	228	28	materials	material	NOUN
fumecheng-4971	228	29	and	and	CCONJ
fumecheng-4971	228	30	structures	structure	NOUN
fumecheng-4971	228	31	,	,	PUNCT
fumecheng-4971	228	32	22	22	NUM
fumecheng-4971	228	33	,	,	PUNCT
fumecheng-4971	228	34	023001	023001	NUM
fumecheng-4971	228	35	.	.	PUNCT
fumecheng-4971	229	1	6	6	NUM
fumecheng-4971	229	2	.	.	X
fumecheng-4971	229	3	zhou	zhou	PROPN
fumecheng-4971	229	4	,	,	PUNCT
fumecheng-4971	229	5	s.	s.	PROPN
fumecheng-4971	229	6	,	,	PUNCT
fumecheng-4971	229	7	cao	cao	PROPN
fumecheng-4971	229	8	,	,	PUNCT
fumecheng-4971	229	9	j.	j.	PROPN
fumecheng-4971	229	10	,	,	PUNCT
fumecheng-4971	229	11	inman	inman	PROPN
fumecheng-4971	229	12	,	,	PUNCT
fumecheng-4971	229	13	d.	d.	PROPN
fumecheng-4971	229	14	j.	j.	PROPN
fumecheng-4971	229	15	,	,	PUNCT
fumecheng-4971	229	16	lin	lin	PROPN
fumecheng-4971	229	17	,	,	PUNCT
fumecheng-4971	229	18	j.	j.	PROPN
fumecheng-4971	229	19	,	,	PUNCT
fumecheng-4971	229	20	li	li	PROPN
fumecheng-4971	229	21	,	,	PUNCT
fumecheng-4971	229	22	d.	d.	PROPN
fumecheng-4971	229	23	,	,	PUNCT
fumecheng-4971	229	24	2016	2016	NUM
fumecheng-4971	229	25	,	,	PUNCT
fumecheng-4971	229	26	harmonic	harmonic	ADJ
fumecheng-4971	229	27	balance	balance	NOUN
fumecheng-4971	229	28	analysis	analysis	NOUN
fumecheng-4971	229	29	of	of	ADP
fumecheng-4971	229	30	nonlinear	nonlinear	ADJ
fumecheng-4971	229	31	tristable	tristable	ADJ
fumecheng-4971	229	32	energy	energy	NOUN
fumecheng-4971	229	33	harvesters	harvester	NOUN
fumecheng-4971	229	34	for	for	ADP
fumecheng-4971	229	35	performance	performance	NOUN
fumecheng-4971	229	36	enhancement	enhancement	NOUN
fumecheng-4971	229	37	,	,	PUNCT
fumecheng-4971	229	38	journal	journal	NOUN
fumecheng-4971	229	39	of	of	ADP
fumecheng-4971	229	40	sound	sound	NOUN
fumecheng-4971	229	41	and	and	CCONJ
fumecheng-4971	229	42	vibration	vibration	NOUN
fumecheng-4971	229	43	,	,	PUNCT
fumecheng-4971	229	44	373	373	NUM
fumecheng-4971	229	45	,	,	PUNCT
fumecheng-4971	229	46	pp	pp	ADJ
fumecheng-4971	229	47	.	.	PUNCT
fumecheng-4971	230	1	223	223	NUM
fumecheng-4971	230	2	-	-	SYM
fumecheng-4971	230	3	235	235	NUM
fumecheng-4971	230	4	.	.	NOUN
fumecheng-4971	231	1	7	7	X
fumecheng-4971	231	2	.	.	X
fumecheng-4971	231	3	moon	moon	PROPN
fumecheng-4971	231	4	,	,	PUNCT
fumecheng-4971	231	5	f.	f.	PROPN
fumecheng-4971	231	6	c.	c.	PROPN
fumecheng-4971	231	7	,	,	PUNCT
fumecheng-4971	231	8	holmes	holmes	PROPN
fumecheng-4971	231	9	,	,	PUNCT
fumecheng-4971	231	10	p.	p.	PROPN
fumecheng-4971	231	11	j.	j.	PROPN
fumecheng-4971	231	12	,	,	PUNCT
fumecheng-4971	231	13	1979	1979	NUM
fumecheng-4971	231	14	,	,	PUNCT
fumecheng-4971	231	15	a	a	DET
fumecheng-4971	231	16	magnetoelastic	magnetoelastic	ADJ
fumecheng-4971	231	17	strange	strange	ADJ
fumecheng-4971	231	18	attractor	attractor	NOUN
fumecheng-4971	231	19	,	,	PUNCT
fumecheng-4971	231	20	journal	journal	NOUN
fumecheng-4971	231	21	of	of	ADP
fumecheng-4971	231	22	sound	sound	NOUN
fumecheng-4971	231	23	and	and	CCONJ
fumecheng-4971	231	24	vibration	vibration	NOUN
fumecheng-4971	231	25	,	,	PUNCT
fumecheng-4971	231	26	65(2	65(2	NOUN
fumecheng-4971	231	27	)	)	PUNCT
fumecheng-4971	231	28	,	,	PUNCT
fumecheng-4971	231	29	pp	pp	ADJ
fumecheng-4971	231	30	.	.	PUNCT
fumecheng-4971	232	1	275–296	275–296	NUM
fumecheng-4971	232	2	.	.	X
fumecheng-4971	233	1	8	8	NUM
fumecheng-4971	233	2	.	.	PUNCT
fumecheng-4971	233	3	erturk	erturk	PROPN
fumecheng-4971	233	4	a.	a.	PROPN
fumecheng-4971	233	5	,	,	PUNCT
fumecheng-4971	233	6	inman	inman	PROPN
fumecheng-4971	233	7	d.	d.	PROPN
fumecheng-4971	233	8	,	,	PUNCT
fumecheng-4971	233	9	2011	2011	NUM
fumecheng-4971	233	10	,	,	PUNCT
fumecheng-4971	233	11	broadband	broadband	NOUN
fumecheng-4971	233	12	piezoelectric	piezoelectric	NOUN
fumecheng-4971	233	13	power	power	NOUN
fumecheng-4971	233	14	generation	generation	NOUN
fumecheng-4971	233	15	on	on	ADP
fumecheng-4971	233	16	high	high	ADJ
fumecheng-4971	233	17	-	-	PUNCT
fumecheng-4971	233	18	energy	energy	NOUN
fumecheng-4971	233	19	orbits	orbit	NOUN
fumecheng-4971	233	20	of	of	ADP
fumecheng-4971	233	21	the	the	DET
fumecheng-4971	233	22	bistable	bistable	ADJ
fumecheng-4971	233	23	duffing	duffing	NOUN
fumecheng-4971	233	24	oscillator	oscillator	NOUN
fumecheng-4971	233	25	with	with	ADP
fumecheng-4971	233	26	electromechanical	electromechanical	ADJ
fumecheng-4971	233	27	coupling	coupling	NOUN
fumecheng-4971	233	28	,	,	PUNCT
fumecheng-4971	233	29	journal	journal	NOUN
fumecheng-4971	233	30	of	of	ADP
fumecheng-4971	233	31	sound	sound	NOUN
fumecheng-4971	233	32	and	and	CCONJ
fumecheng-4971	233	33	vibration	vibration	NOUN
fumecheng-4971	233	34	,	,	PUNCT
fumecheng-4971	233	35	330(10	330(10	NUM
fumecheng-4971	233	36	)	)	PUNCT
fumecheng-4971	233	37	,	,	PUNCT
fumecheng-4971	233	38	pp	pp	PROPN
fumecheng-4971	233	39	.	.	PUNCT
fumecheng-4971	233	40	2339	2339	NUM
fumecheng-4971	233	41	-	-	SYM
fumecheng-4971	233	42	2353	2353	NUM
fumecheng-4971	233	43	.	.	PUNCT
fumecheng-4971	234	1	9	9	NUM
fumecheng-4971	234	2	.	.	X
fumecheng-4971	234	3	de	de	PROPN
fumecheng-4971	234	4	paula	paula	PROPN
fumecheng-4971	234	5	,	,	PUNCT
fumecheng-4971	234	6	a.	a.	PROPN
fumecheng-4971	234	7	,	,	PUNCT
fumecheng-4971	234	8	inman	inman	PROPN
fumecheng-4971	234	9	,	,	PUNCT
fumecheng-4971	234	10	d.	d.	PROPN
fumecheng-4971	234	11	,	,	PUNCT
fumecheng-4971	234	12	savi	savi	VERB
fumecheng-4971	234	13	,	,	PUNCT
fumecheng-4971	234	14	m.	m.	NOUN
fumecheng-4971	234	15	,	,	PUNCT
fumecheng-4971	234	16	2015	2015	NUM
fumecheng-4971	234	17	,	,	PUNCT
fumecheng-4971	234	18	energy	energy	NOUN
fumecheng-4971	234	19	harvesting	harvesting	NOUN
fumecheng-4971	234	20	in	in	ADP
fumecheng-4971	234	21	a	a	DET
fumecheng-4971	234	22	nonlinear	nonlinear	ADJ
fumecheng-4971	234	23	piezomagnetoelastic	piezomagnetoelastic	ADJ
fumecheng-4971	234	24	beam	beam	NOUN
fumecheng-4971	234	25	subjected	subject	VERB
fumecheng-4971	234	26	to	to	ADP
fumecheng-4971	234	27	random	random	ADJ
fumecheng-4971	234	28	excitation	excitation	NOUN
fumecheng-4971	234	29	,	,	PUNCT
fumecheng-4971	234	30	mechanical	mechanical	ADJ
fumecheng-4971	234	31	systems	system	NOUN
fumecheng-4971	234	32	and	and	CCONJ
fumecheng-4971	234	33	signal	signal	NOUN
fumecheng-4971	234	34	processing	processing	NOUN
fumecheng-4971	234	35	,	,	PUNCT
fumecheng-4971	234	36	54	54	NUM
fumecheng-4971	234	37	-	-	SYM
fumecheng-4971	234	38	55	55	NUM
fumecheng-4971	234	39	,	,	PUNCT
fumecheng-4971	234	40	pp	pp	ADJ
fumecheng-4971	234	41	.	.	PUNCT
fumecheng-4971	235	1	405	405	NUM
fumecheng-4971	235	2	-	-	SYM
fumecheng-4971	235	3	416	416	NUM
fumecheng-4971	235	4	.	.	PUNCT
fumecheng-4971	236	1	10	10	NUM
fumecheng-4971	236	2	.	.	PUNCT
fumecheng-4971	237	1	liu	liu	PROPN
fumecheng-4971	237	2	,	,	PUNCT
fumecheng-4971	237	3	w.	w.	PROPN
fumecheng-4971	237	4	,	,	PUNCT
fumecheng-4971	237	5	farmosa	farmosa	PROPN
fumecheng-4971	237	6	,	,	PUNCT
fumecheng-4971	237	7	f.	f.	PROPN
fumecheng-4971	237	8	,	,	PUNCT
fumecheng-4971	237	9	badel	badel	PROPN
fumecheng-4971	237	10	,	,	PUNCT
fumecheng-4971	237	11	a.	a.	NOUN
fumecheng-4971	237	12	,	,	PUNCT
fumecheng-4971	237	13	hu	hu	PROPN
fumecheng-4971	237	14	,	,	PUNCT
fumecheng-4971	237	15	g.	g.	PROPN
fumecheng-4971	237	16	,	,	PUNCT
fumecheng-4971	237	17	2017	2017	NUM
fumecheng-4971	237	18	,	,	PUNCT
fumecheng-4971	237	19	a	a	DET
fumecheng-4971	237	20	simplified	simplified	ADJ
fumecheng-4971	237	21	lumped	lump	VERB
fumecheng-4971	237	22	model	model	NOUN
fumecheng-4971	237	23	for	for	ADP
fumecheng-4971	237	24	the	the	DET
fumecheng-4971	237	25	optimization	optimization	NOUN
fumecheng-4971	237	26	of	of	ADP
fumecheng-4971	237	27	postbuckled	postbuckle	VERB
fumecheng-4971	237	28	beam	beam	NOUN
fumecheng-4971	237	29	architecture	architecture	NOUN
fumecheng-4971	237	30	wideband	wideband	NOUN
fumecheng-4971	237	31	generator	generator	PROPN
fumecheng-4971	237	32	,	,	PUNCT
fumecheng-4971	237	33	journal	journal	NOUN
fumecheng-4971	237	34	of	of	ADP
fumecheng-4971	237	35	sound	sound	NOUN
fumecheng-4971	237	36	and	and	CCONJ
fumecheng-4971	237	37	vibration	vibration	NOUN
fumecheng-4971	237	38	,	,	PUNCT
fumecheng-4971	237	39	409	409	NUM
fumecheng-4971	237	40	,	,	PUNCT
fumecheng-4971	237	41	pp	pp	ADJ
fumecheng-4971	237	42	.	.	PUNCT
fumecheng-4971	238	1	165	165	NUM
fumecheng-4971	238	2	-	-	SYM
fumecheng-4971	238	3	179	179	NUM
fumecheng-4971	238	4	.	.	PUNCT
fumecheng-4971	239	1	11	11	NUM
fumecheng-4971	239	2	.	.	PUNCT
fumecheng-4971	240	1	lentz	lentz	PROPN
fumecheng-4971	240	2	,	,	PUNCT
fumecheng-4971	240	3	l.	l.	PROPN
fumecheng-4971	240	4	,	,	PUNCT
fumecheng-4971	240	5	nguyen	nguyen	PROPN
fumecheng-4971	240	6	,	,	PUNCT
fumecheng-4971	240	7	h.	h.	PROPN
fumecheng-4971	240	8	t.	t.	PROPN
fumecheng-4971	240	9	,	,	PUNCT
fumecheng-4971	240	10	von	von	PROPN
fumecheng-4971	240	11	wagner	wagner	PROPN
fumecheng-4971	240	12	,	,	PUNCT
fumecheng-4971	240	13	u.	u.	PROPN
fumecheng-4971	240	14	,	,	PUNCT
fumecheng-4971	240	15	2017	2017	NUM
fumecheng-4971	240	16	,	,	PUNCT
fumecheng-4971	240	17	energy	energy	NOUN
fumecheng-4971	240	18	harvesting	harvesting	NOUN
fumecheng-4971	240	19	from	from	ADP
fumecheng-4971	240	20	bistable	bistable	ADJ
fumecheng-4971	240	21	systems	system	NOUN
fumecheng-4971	240	22	under	under	ADP
fumecheng-4971	240	23	random	random	ADJ
fumecheng-4971	240	24	excitation	excitation	NOUN
fumecheng-4971	240	25	,	,	PUNCT
fumecheng-4971	240	26	machine	machine	NOUN
fumecheng-4971	240	27	dynamics	dynamic	NOUN
fumecheng-4971	240	28	research	research	NOUN
fumecheng-4971	240	29	,	,	PUNCT
fumecheng-4971	240	30	41(1	41(1	NUM
fumecheng-4971	240	31	)	)	PUNCT
fumecheng-4971	240	32	,	,	PUNCT
fumecheng-4971	240	33	pp	pp	ADJ
fumecheng-4971	240	34	.	.	PUNCT
fumecheng-4971	241	1	5	5	NUM
fumecheng-4971	241	2	-	-	SYM
fumecheng-4971	241	3	16	16	NUM
fumecheng-4971	241	4	.	.	PUNCT
fumecheng-4971	242	1	on	on	ADP
fumecheng-4971	242	2	the	the	DET
fumecheng-4971	242	3	discretization	discretization	NOUN
fumecheng-4971	242	4	of	of	ADP
fumecheng-4971	242	5	a	a	DET
fumecheng-4971	242	6	bistable	bistable	ADJ
fumecheng-4971	242	7	cantilever	cantilever	NOUN
fumecheng-4971	242	8	beam	beam	NOUN
fumecheng-4971	242	9	with	with	ADP
fumecheng-4971	242	10	application	application	NOUN
fumecheng-4971	242	11	to	to	ADP
fumecheng-4971	242	12	energy	energy	NOUN
fumecheng-4971	242	13	harvesting	harvesting	NOUN
fumecheng-4971	242	14	139	139	NUM
fumecheng-4971	242	15	12	12	NUM
fumecheng-4971	242	16	.	.	PUNCT
fumecheng-4971	243	1	lentz	lentz	PROPN
fumecheng-4971	243	2	,	,	PUNCT
fumecheng-4971	243	3	l.	l.	PROPN
fumecheng-4971	243	4	,	,	PUNCT
fumecheng-4971	243	5	2018	2018	NUM
fumecheng-4971	243	6	,	,	PUNCT
fumecheng-4971	243	7	on	on	ADP
fumecheng-4971	243	8	the	the	DET
fumecheng-4971	243	9	modelling	modelling	NOUN
fumecheng-4971	243	10	and	and	CCONJ
fumecheng-4971	243	11	analysis	analysis	NOUN
fumecheng-4971	243	12	of	of	ADP
fumecheng-4971	243	13	a	a	DET
fumecheng-4971	243	14	bistable	bistable	ADJ
fumecheng-4971	243	15	energy	energy	NOUN
fumecheng-4971	243	16	-	-	PUNCT
fumecheng-4971	243	17	harvesting	harvesting	NOUN
fumecheng-4971	243	18	system	system	NOUN
fumecheng-4971	243	19	,	,	PUNCT
fumecheng-4971	243	20	phd	phd	NOUN
fumecheng-4971	243	21	thesis	thesis	NOUN
fumecheng-4971	243	22	,	,	PUNCT
fumecheng-4971	243	23	tuberlin	tuberlin	PROPN
fumecheng-4971	243	24	,	,	PUNCT
fumecheng-4971	243	25	germany	germany	PROPN
fumecheng-4971	243	26	,	,	PUNCT
fumecheng-4971	243	27	130	130	NUM
fumecheng-4971	243	28	p.	p.	NOUN
fumecheng-4971	243	29	13	13	NUM
fumecheng-4971	243	30	.	.	PUNCT
fumecheng-4971	244	1	shaw	shaw	PROPN
fumecheng-4971	244	2	,	,	PUNCT
fumecheng-4971	244	3	s.	s.	PROPN
fumecheng-4971	244	4	,	,	PUNCT
fumecheng-4971	244	5	pierre	pierre	PROPN
fumecheng-4971	244	6	,	,	PUNCT
fumecheng-4971	244	7	c.	c.	NOUN
fumecheng-4971	244	8	,	,	PUNCT
fumecheng-4971	244	9	1994	1994	NUM
fumecheng-4971	244	10	,	,	PUNCT
fumecheng-4971	244	11	normal	normal	ADJ
fumecheng-4971	244	12	modes	mode	NOUN
fumecheng-4971	244	13	of	of	ADP
fumecheng-4971	244	14	vibration	vibration	NOUN
fumecheng-4971	244	15	for	for	ADP
fumecheng-4971	244	16	non	non	ADJ
fumecheng-4971	244	17	-	-	ADJ
fumecheng-4971	244	18	linear	linear	ADJ
fumecheng-4971	244	19	continuous	continuous	ADJ
fumecheng-4971	244	20	systems	system	NOUN
fumecheng-4971	244	21	,	,	PUNCT
fumecheng-4971	244	22	journal	journal	NOUN
fumecheng-4971	244	23	of	of	ADP
fumecheng-4971	244	24	sound	sound	NOUN
fumecheng-4971	244	25	and	and	CCONJ
fumecheng-4971	244	26	vibration	vibration	NOUN
fumecheng-4971	244	27	,	,	PUNCT
fumecheng-4971	244	28	169(3	169(3	NUM
fumecheng-4971	244	29	)	)	PUNCT
fumecheng-4971	244	30	,	,	PUNCT
fumecheng-4971	244	31	pp	pp	ADP
fumecheng-4971	244	32	.	.	PUNCT
fumecheng-4971	245	1	319	319	NUM
fumecheng-4971	245	2	-	-	SYM
fumecheng-4971	245	3	347	347	NUM
fumecheng-4971	245	4	.	.	PUNCT
fumecheng-4971	246	1	14	14	NUM
fumecheng-4971	246	2	.	.	PUNCT
fumecheng-4971	247	1	szemplinska	szemplinska	ADJ
fumecheng-4971	247	2	-	-	PUNCT
fumecheng-4971	247	3	stupnicka	stupnicka	NOUN
fumecheng-4971	247	4	,	,	PUNCT
fumecheng-4971	247	5	w.	w.	PROPN
fumecheng-4971	247	6	,	,	PUNCT
fumecheng-4971	247	7	1983	1983	NUM
fumecheng-4971	247	8	,	,	PUNCT
fumecheng-4971	247	9	non	non	ADJ
fumecheng-4971	247	10	-	-	ADJ
fumecheng-4971	247	11	linear	linear	ADJ
fumecheng-4971	247	12	normal	normal	ADJ
fumecheng-4971	247	13	modes	mode	NOUN
fumecheng-4971	247	14	and	and	CCONJ
fumecheng-4971	247	15	the	the	DET
fumecheng-4971	247	16	generalized	generalized	ADJ
fumecheng-4971	247	17	ritz	ritz	PROPN
fumecheng-4971	247	18	method	method	NOUN
fumecheng-4971	247	19	in	in	ADP
fumecheng-4971	247	20	the	the	DET
fumecheng-4971	247	21	problems	problem	NOUN
fumecheng-4971	247	22	of	of	ADP
fumecheng-4971	247	23	vibrations	vibration	NOUN
fumecheng-4971	247	24	of	of	ADP
fumecheng-4971	247	25	non	non	ADJ
fumecheng-4971	247	26	-	-	ADJ
fumecheng-4971	247	27	linear	linear	ADJ
fumecheng-4971	247	28	elastic	elastic	ADJ
fumecheng-4971	247	29	continuous	continuous	ADJ
fumecheng-4971	247	30	systems	system	NOUN
fumecheng-4971	247	31	,	,	PUNCT
fumecheng-4971	247	32	international	international	ADJ
fumecheng-4971	247	33	journal	journal	NOUN
fumecheng-4971	247	34	of	of	ADP
fumecheng-4971	247	35	non	non	ADJ
fumecheng-4971	247	36	-	-	ADJ
fumecheng-4971	247	37	linear	linear	ADJ
fumecheng-4971	247	38	mechanics	mechanic	NOUN
fumecheng-4971	247	39	,	,	PUNCT
fumecheng-4971	247	40	18(2	18(2	NUM
fumecheng-4971	247	41	)	)	PUNCT
fumecheng-4971	247	42	,	,	PUNCT
fumecheng-4971	247	43	pp	pp	ADP
fumecheng-4971	247	44	.	.	PUNCT
fumecheng-4971	248	1	149	149	NUM
fumecheng-4971	248	2	-	-	SYM
fumecheng-4971	248	3	165	165	NUM
fumecheng-4971	248	4	.	.	PUNCT
fumecheng-4971	249	1	15	15	NUM
fumecheng-4971	249	2	.	.	PUNCT
fumecheng-4971	250	1	mikhlin	mikhlin	PROPN
fumecheng-4971	250	2	,	,	PUNCT
fumecheng-4971	250	3	y.	y.	PROPN
fumecheng-4971	250	4	,	,	PUNCT
fumecheng-4971	250	5	avramov	avramov	PROPN
fumecheng-4971	250	6	,	,	PUNCT
fumecheng-4971	250	7	k.	k.	PROPN
fumecheng-4971	250	8	,	,	PUNCT
fumecheng-4971	250	9	2011	2011	NUM
fumecheng-4971	250	10	,	,	PUNCT
fumecheng-4971	250	11	nonlinear	nonlinear	ADJ
fumecheng-4971	250	12	normal	normal	ADJ
fumecheng-4971	250	13	modes	mode	NOUN
fumecheng-4971	250	14	for	for	ADP
fumecheng-4971	250	15	vibrating	vibrate	VERB
fumecheng-4971	250	16	mechanical	mechanical	ADJ
fumecheng-4971	250	17	systems	system	NOUN
fumecheng-4971	250	18	,	,	PUNCT
fumecheng-4971	250	19	review	review	NOUN
fumecheng-4971	250	20	of	of	ADP
fumecheng-4971	250	21	theoretical	theoretical	ADJ
fumecheng-4971	250	22	developments	development	NOUN
fumecheng-4971	250	23	,	,	PUNCT
fumecheng-4971	250	24	applied	apply	VERB
fumecheng-4971	250	25	mechanics	mechanic	NOUN
fumecheng-4971	250	26	reviews	review	NOUN
fumecheng-4971	250	27	,	,	PUNCT
fumecheng-4971	250	28	63(6	63(6	PROPN
fumecheng-4971	250	29	)	)	PUNCT
fumecheng-4971	250	30	,	,	PUNCT
fumecheng-4971	250	31	060802	060802	NUM
fumecheng-4971	250	32	.	.	PUNCT
fumecheng-4971	251	1	16	16	NUM
fumecheng-4971	251	2	.	.	PUNCT
fumecheng-4971	251	3	cazottes	cazotte	NOUN
fumecheng-4971	251	4	,	,	PUNCT
fumecheng-4971	251	5	p.	p.	PROPN
fumecheng-4971	251	6	,	,	PUNCT
fumecheng-4971	251	7	fernandes	fernandes	PROPN
fumecheng-4971	251	8	,	,	PUNCT
fumecheng-4971	251	9	a.	a.	NOUN
fumecheng-4971	251	10	,	,	PUNCT
fumecheng-4971	251	11	pouget	pouget	VERB
fumecheng-4971	251	12	,	,	PUNCT
fumecheng-4971	251	13	j.	j.	PROPN
fumecheng-4971	251	14	,	,	PUNCT
fumecheng-4971	251	15	hafez	hafez	PROPN
fumecheng-4971	251	16	,	,	PUNCT
fumecheng-4971	251	17	m.	m.	NOUN
fumecheng-4971	251	18	,	,	PUNCT
fumecheng-4971	251	19	2009	2009	NUM
fumecheng-4971	251	20	,	,	PUNCT
fumecheng-4971	251	21	bistable	bistable	ADJ
fumecheng-4971	251	22	buckled	buckled	ADJ
fumecheng-4971	251	23	beam	beam	NOUN
fumecheng-4971	251	24	:	:	PUNCT
fumecheng-4971	251	25	modeling	modeling	NOUN
fumecheng-4971	251	26	of	of	ADP
fumecheng-4971	251	27	actuating	actuate	VERB
fumecheng-4971	251	28	force	force	NOUN
fumecheng-4971	251	29	and	and	CCONJ
fumecheng-4971	251	30	experimental	experimental	ADJ
fumecheng-4971	251	31	validations	validation	NOUN
fumecheng-4971	251	32	,	,	PUNCT
fumecheng-4971	251	33	journal	journal	NOUN
fumecheng-4971	251	34	of	of	ADP
fumecheng-4971	251	35	mechanical	mechanical	ADJ
fumecheng-4971	251	36	design	design	NOUN
fumecheng-4971	251	37	,	,	PUNCT
fumecheng-4971	251	38	131(10	131(10	NUM
fumecheng-4971	251	39	)	)	PUNCT
fumecheng-4971	251	40	,	,	PUNCT
fumecheng-4971	251	41	101001	101001	NUM
fumecheng-4971	251	42	.	.	PUNCT
fumecheng-4971	252	1	17	17	NUM
fumecheng-4971	252	2	.	.	PUNCT
fumecheng-4971	253	1	nayfeh	nayfeh	PROPN
fumecheng-4971	253	2	,	,	PUNCT
fumecheng-4971	253	3	a.	a.	PROPN
fumecheng-4971	253	4	h.	h.	PROPN
fumecheng-4971	253	5	,	,	PUNCT
fumecheng-4971	253	6	emam	emam	PROPN
fumecheng-4971	253	7	,	,	PUNCT
fumecheng-4971	253	8	s.	s.	PROPN
fumecheng-4971	253	9	a.	a.	PROPN
fumecheng-4971	253	10	,	,	PUNCT
fumecheng-4971	253	11	2008	2008	NUM
fumecheng-4971	253	12	,	,	PUNCT
fumecheng-4971	253	13	exact	exact	ADJ
fumecheng-4971	253	14	solution	solution	NOUN
fumecheng-4971	253	15	and	and	CCONJ
fumecheng-4971	253	16	stability	stability	NOUN
fumecheng-4971	253	17	of	of	ADP
fumecheng-4971	253	18	postbuckling	postbuckle	VERB
fumecheng-4971	253	19	configurations	configuration	NOUN
fumecheng-4971	253	20	of	of	ADP
fumecheng-4971	253	21	beams	beam	NOUN
fumecheng-4971	253	22	,	,	PUNCT
fumecheng-4971	253	23	nonlinear	nonlinear	ADJ
fumecheng-4971	253	24	dynamics	dynamic	NOUN
fumecheng-4971	253	25	,	,	PUNCT
fumecheng-4971	253	26	54	54	NUM
fumecheng-4971	253	27	,	,	PUNCT
fumecheng-4971	253	28	pp	pp	ADJ
fumecheng-4971	253	29	.	.	PUNCT
fumecheng-4971	254	1	395	395	NUM
fumecheng-4971	254	2	-	-	SYM
fumecheng-4971	254	3	408	408	NUM
fumecheng-4971	254	4	.	.	PUNCT
fumecheng-4971	255	1	18	18	NUM
fumecheng-4971	255	2	.	.	PUNCT
fumecheng-4971	255	3	vocca	vocca	PROPN
fumecheng-4971	255	4	,	,	PUNCT
fumecheng-4971	255	5	h.	h.	PROPN
fumecheng-4971	255	6	,	,	PUNCT
fumecheng-4971	255	7	cottone	cottone	PROPN
fumecheng-4971	255	8	,	,	PUNCT
fumecheng-4971	255	9	f.	f.	PROPN
fumecheng-4971	255	10	,	,	PUNCT
fumecheng-4971	255	11	neri	neri	PROPN
fumecheng-4971	255	12	,	,	PUNCT
fumecheng-4971	255	13	i.	i.	NOUN
fumecheng-4971	255	14	,	,	PUNCT
fumecheng-4971	255	15	gammaitoni	gammaitoni	PROPN
fumecheng-4971	255	16	,	,	PUNCT
fumecheng-4971	255	17	l.	l.	PROPN
fumecheng-4971	255	18	,	,	PUNCT
fumecheng-4971	255	19	2013	2013	NUM
fumecheng-4971	255	20	,	,	PUNCT
fumecheng-4971	255	21	a	a	DET
fumecheng-4971	255	22	comparison	comparison	NOUN
fumecheng-4971	255	23	between	between	ADP
fumecheng-4971	255	24	nonlinear	nonlinear	ADJ
fumecheng-4971	255	25	cantilever	cantilever	NOUN
fumecheng-4971	255	26	and	and	CCONJ
fumecheng-4971	255	27	buckled	buckle	VERB
fumecheng-4971	255	28	beam	beam	NOUN
fumecheng-4971	255	29	for	for	ADP
fumecheng-4971	255	30	energy	energy	NOUN
fumecheng-4971	255	31	harvesting	harvesting	NOUN
fumecheng-4971	255	32	,	,	PUNCT
fumecheng-4971	255	33	eur	eur	NOUN
fumecheng-4971	255	34	.	.	PUNCT
fumecheng-4971	256	1	phys	phy	NOUN
fumecheng-4971	256	2	.	.	PUNCT
fumecheng-4971	257	1	j.	j.	PROPN
fumecheng-4971	257	2	special	special	ADJ
fumecheng-4971	257	3	topics	topic	NOUN
fumecheng-4971	257	4	,	,	PUNCT
fumecheng-4971	257	5	222(7	222(7	NUM
fumecheng-4971	257	6	)	)	PUNCT
fumecheng-4971	257	7	,	,	PUNCT
fumecheng-4971	257	8	pp	pp	ADP
fumecheng-4971	257	9	.	.	PUNCT
fumecheng-4971	258	1	1699	1699	NUM
fumecheng-4971	258	2	-	-	SYM
fumecheng-4971	258	3	1705	1705	NUM
fumecheng-4971	258	4	.	.	PUNCT
fumecheng-4971	259	1	19	19	NUM
fumecheng-4971	259	2	.	.	X
fumecheng-4971	259	3	noll	noll	PROPN
fumecheng-4971	259	4	,	,	PUNCT
fumecheng-4971	259	5	m.-u	m.-u	PROPN
fumecheng-4971	259	6	.	.	PUNCT
fumecheng-4971	259	7	,	,	PUNCT
fumecheng-4971	259	8	2019	2019	NUM
fumecheng-4971	259	9	,	,	PUNCT
fumecheng-4971	259	10	experimental	experimental	ADJ
fumecheng-4971	259	11	setup	setup	NOUN
fumecheng-4971	259	12	of	of	ADP
fumecheng-4971	259	13	an	an	DET
fumecheng-4971	259	14	energy	energy	NOUN
fumecheng-4971	259	15	harvesting	harvesting	NOUN
fumecheng-4971	259	16	system	system	NOUN
fumecheng-4971	259	17	ii	ii	PROPN
fumecheng-4971	259	18	,	,	PUNCT
fumecheng-4971	259	19	doi:10.6084	doi:10.6084	NOUN
fumecheng-4971	259	20	/	/	SYM
fumecheng-4971	259	21	m9.figshare.7764851.v1	m9.figshare.7764851.v1	NOUN
fumecheng-4971	259	22	.	.	PUNCT