id	sid	tid	token	lemma	pos
fumecheng-5164	1	1	facta	facta	PROPN
fumecheng-5164	1	2	universitatis	universitatis	PROPN
fumecheng-5164	1	3	series	series	NOUN
fumecheng-5164	1	4	:	:	PUNCT
fumecheng-5164	1	5	mechanical	mechanical	ADJ
fumecheng-5164	1	6	engineering	engineering	NOUN
fumecheng-5164	1	7	vol	vol	NOUN
fumecheng-5164	1	8	.	.	PROPN
fumecheng-5164	1	9	18	18	NUM
fumecheng-5164	1	10	,	,	PUNCT
fumecheng-5164	1	11	no	no	DET
fumecheng-5164	1	12	2	2	NUM
fumecheng-5164	1	13	,	,	PUNCT
fumecheng-5164	1	14	2020	2020	NUM
fumecheng-5164	1	15	,	,	PUNCT
fumecheng-5164	1	16	pp	pp	ADV
fumecheng-5164	1	17	.	.	PUNCT
fumecheng-5164	2	1	219	219	NUM
fumecheng-5164	2	2	227	227	NUM
fumecheng-5164	2	3	https://doi.org/10.22190/fume190415008p	https://doi.org/10.22190/fume190415008p	PROPN
fumecheng-5164	2	4	©	©	PROPN
fumecheng-5164	2	5	2020	2020	NUM
fumecheng-5164	2	6	by	by	ADP
fumecheng-5164	2	7	university	university	PROPN
fumecheng-5164	2	8	of	of	ADP
fumecheng-5164	2	9	niš	niš	PROPN
fumecheng-5164	2	10	,	,	PUNCT
fumecheng-5164	2	11	serbia	serbia	PROPN
fumecheng-5164	2	12	|	|	ADV
fumecheng-5164	2	13	creative	creative	ADJ
fumecheng-5164	2	14	commons	common	NOUN
fumecheng-5164	2	15	license	license	NOUN
fumecheng-5164	2	16	:	:	PUNCT
fumecheng-5164	2	17	cc	cc	VERB
fumecheng-5164	2	18	by	by	ADP
fumecheng-5164	2	19	-	-	PUNCT
fumecheng-5164	2	20	nc	nc	VERB
fumecheng-5164	2	21	-	-	PUNCT
fumecheng-5164	2	22	nd	nd	ADV
fumecheng-5164	2	23	original	original	ADJ
fumecheng-5164	2	24	scientific	scientific	ADJ
fumecheng-5164	2	25	paper	paper	ADJ
fumecheng-5164	2	26	dynamic	dynamic	ADJ
fumecheng-5164	2	27	behavior	behavior	NOUN
fumecheng-5164	2	28	of	of	ADP
fumecheng-5164	2	29	two	two	NUM
fumecheng-5164	2	30	elastically	elastically	ADV
fumecheng-5164	2	31	connected	connect	VERB
fumecheng-5164	2	32	nanobeams	nanobeam	NOUN
fumecheng-5164	2	33	under	under	ADP
fumecheng-5164	2	34	a	a	DET
fumecheng-5164	2	35	white	white	ADJ
fumecheng-5164	2	36	noise	noise	NOUN
fumecheng-5164	2	37	process	process	NOUN
fumecheng-5164	2	38	ivan	ivan	PROPN
fumecheng-5164	2	39	r.	r.	PROPN
fumecheng-5164	2	40	pavlović	pavlović	PROPN
fumecheng-5164	2	41	1	1	NUM
fumecheng-5164	2	42	,	,	PUNCT
fumecheng-5164	2	43	ratko	ratko	NOUN
fumecheng-5164	2	44	pavlović	pavlović	VERB
fumecheng-5164	2	45	1	1	NUM
fumecheng-5164	2	46	,	,	PUNCT
fumecheng-5164	2	47	goran	goran	PROPN
fumecheng-5164	2	48	janevski	janevski	PROPN
fumecheng-5164	2	49	1	1	NUM
fumecheng-5164	2	50	,	,	PUNCT
fumecheng-5164	2	51	nikola	nikola	PROPN
fumecheng-5164	2	52	despenić	despenić	VERB
fumecheng-5164	2	53	1	1	NUM
fumecheng-5164	2	54	,	,	PUNCT
fumecheng-5164	2	55	vladimir	vladimir	NOUN
fumecheng-5164	2	56	pajković	pajković	VERB
fumecheng-5164	2	57	2	2	NUM
fumecheng-5164	2	58	1	1	NUM
fumecheng-5164	2	59	faculty	faculty	NOUN
fumecheng-5164	2	60	of	of	ADP
fumecheng-5164	2	61	mechanical	mechanical	ADJ
fumecheng-5164	2	62	engineering	engineering	NOUN
fumecheng-5164	2	63	,	,	PUNCT
fumecheng-5164	2	64	university	university	NOUN
fumecheng-5164	2	65	of	of	ADP
fumecheng-5164	2	66	niš	niš	PROPN
fumecheng-5164	2	67	,	,	PUNCT
fumecheng-5164	2	68	serbia	serbia	PROPN
fumecheng-5164	2	69	2	2	NUM
fumecheng-5164	2	70	faculty	faculty	NOUN
fumecheng-5164	2	71	of	of	ADP
fumecheng-5164	2	72	mechanical	mechanical	ADJ
fumecheng-5164	2	73	engineering	engineering	NOUN
fumecheng-5164	2	74	,	,	PUNCT
fumecheng-5164	2	75	university	university	NOUN
fumecheng-5164	2	76	of	of	ADP
fumecheng-5164	2	77	montenegro	montenegro	PROPN
fumecheng-5164	2	78	,	,	PUNCT
fumecheng-5164	2	79	podgorica	podgorica	PROPN
fumecheng-5164	2	80	,	,	PUNCT
fumecheng-5164	2	81	montenegro	montenegro	PROPN
fumecheng-5164	2	82	abstract	abstract	NOUN
fumecheng-5164	2	83	.	.	PUNCT
fumecheng-5164	3	1	this	this	DET
fumecheng-5164	3	2	paper	paper	NOUN
fumecheng-5164	3	3	investigates	investigate	VERB
fumecheng-5164	3	4	the	the	DET
fumecheng-5164	3	5	almost	almost	ADV
fumecheng-5164	3	6	-	-	PUNCT
fumecheng-5164	3	7	sure	sure	ADJ
fumecheng-5164	3	8	and	and	CCONJ
fumecheng-5164	3	9	moment	moment	VERB
fumecheng-5164	3	10	stability	stability	NOUN
fumecheng-5164	3	11	of	of	ADP
fumecheng-5164	3	12	a	a	DET
fumecheng-5164	3	13	double	double	ADJ
fumecheng-5164	3	14	nanobeam	nanobeam	NOUN
fumecheng-5164	3	15	system	system	NOUN
fumecheng-5164	3	16	under	under	ADP
fumecheng-5164	3	17	stochastic	stochastic	ADJ
fumecheng-5164	3	18	compressive	compressive	ADJ
fumecheng-5164	3	19	axial	axial	ADJ
fumecheng-5164	3	20	loading	loading	NOUN
fumecheng-5164	3	21	.	.	PUNCT
fumecheng-5164	4	1	by	by	ADP
fumecheng-5164	4	2	means	mean	NOUN
fumecheng-5164	4	3	of	of	ADP
fumecheng-5164	4	4	the	the	DET
fumecheng-5164	4	5	lyapunov	lyapunov	ADJ
fumecheng-5164	4	6	exponent	exponent	NOUN
fumecheng-5164	4	7	and	and	CCONJ
fumecheng-5164	4	8	the	the	DET
fumecheng-5164	4	9	moment	moment	NOUN
fumecheng-5164	4	10	lyapunov	lyapunov	PROPN
fumecheng-5164	4	11	exponent	exponent	NOUN
fumecheng-5164	4	12	method	method	VERB
fumecheng-5164	4	13	the	the	DET
fumecheng-5164	4	14	stochastic	stochastic	ADJ
fumecheng-5164	4	15	stability	stability	NOUN
fumecheng-5164	4	16	of	of	ADP
fumecheng-5164	4	17	the	the	DET
fumecheng-5164	4	18	nano	nano	NOUN
fumecheng-5164	4	19	system	system	NOUN
fumecheng-5164	4	20	is	be	AUX
fumecheng-5164	4	21	analyzed	analyze	VERB
fumecheng-5164	4	22	for	for	ADP
fumecheng-5164	4	23	different	different	ADJ
fumecheng-5164	4	24	system	system	NOUN
fumecheng-5164	4	25	parameters	parameter	NOUN
fumecheng-5164	4	26	under	under	ADP
fumecheng-5164	4	27	an	an	DET
fumecheng-5164	4	28	axial	axial	ADJ
fumecheng-5164	4	29	load	load	NOUN
fumecheng-5164	4	30	modeled	model	VERB
fumecheng-5164	4	31	as	as	ADP
fumecheng-5164	4	32	a	a	DET
fumecheng-5164	4	33	wideband	wideband	NOUN
fumecheng-5164	4	34	white	white	ADJ
fumecheng-5164	4	35	noise	noise	NOUN
fumecheng-5164	4	36	process	process	NOUN
fumecheng-5164	4	37	.	.	PUNCT
fumecheng-5164	5	1	the	the	DET
fumecheng-5164	5	2	method	method	NOUN
fumecheng-5164	5	3	of	of	ADP
fumecheng-5164	5	4	regular	regular	ADJ
fumecheng-5164	5	5	perturbation	perturbation	NOUN
fumecheng-5164	5	6	is	be	AUX
fumecheng-5164	5	7	used	use	VERB
fumecheng-5164	5	8	to	to	PART
fumecheng-5164	5	9	determine	determine	VERB
fumecheng-5164	5	10	the	the	DET
fumecheng-5164	5	11	explicit	explicit	ADJ
fumecheng-5164	5	12	asymptotic	asymptotic	ADJ
fumecheng-5164	5	13	expressions	expression	NOUN
fumecheng-5164	5	14	for	for	ADP
fumecheng-5164	5	15	these	these	DET
fumecheng-5164	5	16	exponents	exponent	NOUN
fumecheng-5164	5	17	in	in	ADP
fumecheng-5164	5	18	the	the	DET
fumecheng-5164	5	19	presence	presence	NOUN
fumecheng-5164	5	20	of	of	ADP
fumecheng-5164	5	21	small	small	ADJ
fumecheng-5164	5	22	intensity	intensity	NOUN
fumecheng-5164	5	23	noises	noise	NOUN
fumecheng-5164	5	24	.	.	PUNCT
fumecheng-5164	6	1	key	key	ADJ
fumecheng-5164	6	2	words	word	NOUN
fumecheng-5164	6	3	:	:	PUNCT
fumecheng-5164	6	4	double	double	ADJ
fumecheng-5164	6	5	nanobeam	nanobeam	NOUN
fumecheng-5164	6	6	,	,	PUNCT
fumecheng-5164	6	7	lyapunov	lyapunov	NOUN
fumecheng-5164	6	8	exponent	exponent	NOUN
fumecheng-5164	6	9	,	,	PUNCT
fumecheng-5164	6	10	moment	moment	NOUN
fumecheng-5164	6	11	lyapunov	lyapunov	PROPN
fumecheng-5164	6	12	exponent	exponent	NOUN
fumecheng-5164	6	13	,	,	PUNCT
fumecheng-5164	6	14	regular	regular	ADJ
fumecheng-5164	6	15	perturbation	perturbation	NOUN
fumecheng-5164	6	16	method	method	NOUN
fumecheng-5164	6	17	,	,	PUNCT
fumecheng-5164	6	18	white	white	ADJ
fumecheng-5164	6	19	noise	noise	NOUN
fumecheng-5164	6	20	process	process	NOUN
fumecheng-5164	6	21	1	1	NUM
fumecheng-5164	6	22	.	.	PUNCT
fumecheng-5164	7	1	introduction	introduction	NOUN
fumecheng-5164	7	2	continuum	continuum	VERB
fumecheng-5164	7	3	modeling	modeling	NOUN
fumecheng-5164	7	4	of	of	ADP
fumecheng-5164	7	5	nanorods	nanorod	NOUN
fumecheng-5164	7	6	,	,	PUNCT
fumecheng-5164	7	7	nanobeams	nanobeam	NOUN
fumecheng-5164	7	8	and	and	CCONJ
fumecheng-5164	7	9	nanoplates	nanoplate	NOUN
fumecheng-5164	7	10	has	have	AUX
fumecheng-5164	7	11	attracted	attract	VERB
fumecheng-5164	7	12	attention	attention	NOUN
fumecheng-5164	7	13	due	due	ADP
fumecheng-5164	7	14	to	to	ADP
fumecheng-5164	7	15	its	its	PRON
fumecheng-5164	7	16	simplicity	simplicity	NOUN
fumecheng-5164	7	17	and	and	CCONJ
fumecheng-5164	7	18	computational	computational	ADJ
fumecheng-5164	7	19	efficiency	efficiency	NOUN
fumecheng-5164	7	20	.	.	PUNCT
fumecheng-5164	8	1	recently	recently	ADV
fumecheng-5164	8	2	,	,	PUNCT
fumecheng-5164	8	3	they	they	PRON
fumecheng-5164	8	4	have	have	AUX
fumecheng-5164	8	5	been	be	AUX
fumecheng-5164	8	6	extensively	extensively	ADV
fumecheng-5164	8	7	utilized	utilize	VERB
fumecheng-5164	8	8	as	as	ADP
fumecheng-5164	8	9	nanostructure	nanostructure	ADJ
fumecheng-5164	8	10	components	component	NOUN
fumecheng-5164	8	11	for	for	ADP
fumecheng-5164	8	12	nanoelectromechanical	nanoelectromechanical	ADJ
fumecheng-5164	8	13	and	and	CCONJ
fumecheng-5164	8	14	microelectromechanical	microelectromechanical	ADJ
fumecheng-5164	8	15	systems	system	NOUN
fumecheng-5164	8	16	.	.	PUNCT
fumecheng-5164	9	1	based	base	VERB
fumecheng-5164	9	2	on	on	ADP
fumecheng-5164	9	3	the	the	DET
fumecheng-5164	9	4	theory	theory	NOUN
fumecheng-5164	9	5	of	of	ADP
fumecheng-5164	9	6	eringen	eringen	PROPN
fumecheng-5164	9	7	,	,	PUNCT
fumecheng-5164	9	8	nanostructures	nanostructure	NOUN
fumecheng-5164	9	9	have	have	AUX
fumecheng-5164	9	10	been	be	AUX
fumecheng-5164	9	11	widely	widely	ADV
fumecheng-5164	9	12	studied	study	VERB
fumecheng-5164	9	13	by	by	ADP
fumecheng-5164	9	14	many	many	ADJ
fumecheng-5164	9	15	researchers	researcher	NOUN
fumecheng-5164	9	16	.	.	PUNCT
fumecheng-5164	10	1	the	the	DET
fumecheng-5164	10	2	bending	bend	VERB
fumecheng-5164	10	3	analysis	analysis	NOUN
fumecheng-5164	10	4	of	of	ADP
fumecheng-5164	10	5	embedded	embed	VERB
fumecheng-5164	10	6	nanoplates	nanoplate	NOUN
fumecheng-5164	10	7	based	base	VERB
fumecheng-5164	10	8	on	on	ADP
fumecheng-5164	10	9	the	the	DET
fumecheng-5164	10	10	integral	integral	ADJ
fumecheng-5164	10	11	formulation	formulation	NOUN
fumecheng-5164	10	12	of	of	ADP
fumecheng-5164	10	13	the	the	DET
fumecheng-5164	10	14	eringen	eringen	NOUN
fumecheng-5164	10	15	’s	’s	PART
fumecheng-5164	10	16	nonlocal	nonlocal	ADJ
fumecheng-5164	10	17	theory	theory	NOUN
fumecheng-5164	10	18	is	be	AUX
fumecheng-5164	10	19	presented	present	VERB
fumecheng-5164	10	20	in	in	ADP
fumecheng-5164	10	21	[	[	X
fumecheng-5164	10	22	1	1	NUM
fumecheng-5164	10	23	]	]	PUNCT
fumecheng-5164	10	24	.	.	PUNCT
fumecheng-5164	11	1	zhang	zhang	PROPN
fumecheng-5164	11	2	et	et	PROPN
fumecheng-5164	11	3	al	al	PROPN
fumecheng-5164	11	4	.	.	PUNCT
fumecheng-5164	12	1	[	[	X
fumecheng-5164	12	2	2	2	NUM
fumecheng-5164	12	3	]	]	PUNCT
fumecheng-5164	12	4	developed	develop	VERB
fumecheng-5164	12	5	a	a	DET
fumecheng-5164	12	6	hencky	hencky	ADJ
fumecheng-5164	12	7	barnet	barnet	NOUN
fumecheng-5164	12	8	model	model	NOUN
fumecheng-5164	12	9	for	for	ADP
fumecheng-5164	12	10	circular	circular	ADJ
fumecheng-5164	12	11	and	and	CCONJ
fumecheng-5164	12	12	annular	annular	ADJ
fumecheng-5164	12	13	single	single	ADJ
fumecheng-5164	12	14	layer	layer	NOUN
fumecheng-5164	12	15	graphene	graphene	NOUN
fumecheng-5164	12	16	sheets	sheet	NOUN
fumecheng-5164	12	17	and	and	CCONJ
fumecheng-5164	12	18	calculated	calculate	VERB
fumecheng-5164	12	19	real	real	ADJ
fumecheng-5164	12	20	buckling	buckling	NOUN
fumecheng-5164	12	21	loads	load	NOUN
fumecheng-5164	12	22	of	of	ADP
fumecheng-5164	12	23	such	such	ADJ
fumecheng-5164	12	24	sheets	sheet	NOUN
fumecheng-5164	12	25	with	with	ADP
fumecheng-5164	12	26	clamped	clamp	VERB
fumecheng-5164	12	27	and	and	CCONJ
fumecheng-5164	12	28	simply	simply	ADV
fumecheng-5164	12	29	supported	support	VERB
fumecheng-5164	12	30	restraints	restraint	NOUN
fumecheng-5164	12	31	.	.	PUNCT
fumecheng-5164	13	1	pavlović	pavlović	NOUN
fumecheng-5164	13	2	et	et	PROPN
fumecheng-5164	13	3	al	al	PROPN
fumecheng-5164	13	4	.	.	PUNCT
fumecheng-5164	14	1	[	[	X
fumecheng-5164	14	2	3	3	NUM
fumecheng-5164	14	3	]	]	PUNCT
fumecheng-5164	14	4	investigated	investigate	VERB
fumecheng-5164	14	5	the	the	DET
fumecheng-5164	14	6	dynamic	dynamic	ADJ
fumecheng-5164	14	7	instability	instability	NOUN
fumecheng-5164	14	8	of	of	ADP
fumecheng-5164	14	9	coupled	couple	VERB
fumecheng-5164	14	10	nanobeams	nanobeam	NOUN
fumecheng-5164	14	11	.	.	PUNCT
fumecheng-5164	15	1	by	by	ADP
fumecheng-5164	15	2	using	use	VERB
fumecheng-5164	15	3	the	the	DET
fumecheng-5164	15	4	direct	direct	ADJ
fumecheng-5164	15	5	lyapunov	lyapunov	NOUN
fumecheng-5164	15	6	method	method	NOUN
fumecheng-5164	15	7	,	,	PUNCT
fumecheng-5164	15	8	bounds	bound	NOUN
fumecheng-5164	15	9	of	of	ADP
fumecheng-5164	15	10	the	the	DET
fumecheng-5164	15	11	almost	almost	ADV
fumecheng-5164	15	12	-	-	PUNCT
fumecheng-5164	15	13	sure	sure	ADV
fumecheng-5164	15	14	asymptotic	asymptotic	ADJ
fumecheng-5164	15	15	instability	instability	NOUN
fumecheng-5164	15	16	of	of	ADP
fumecheng-5164	15	17	a	a	DET
fumecheng-5164	15	18	received	receive	VERB
fumecheng-5164	15	19	april	april	PROPN
fumecheng-5164	15	20	15	15	NUM
fumecheng-5164	15	21	,	,	PUNCT
fumecheng-5164	15	22	2019	2019	NUM
fumecheng-5164	15	23	/	/	SYM
fumecheng-5164	15	24	accepted	accept	VERB
fumecheng-5164	15	25	december	december	PROPN
fumecheng-5164	15	26	10	10	NUM
fumecheng-5164	15	27	,	,	PUNCT
fumecheng-5164	15	28	2019	2019	NUM
fumecheng-5164	15	29	corresponding	correspond	VERB
fumecheng-5164	15	30	author	author	NOUN
fumecheng-5164	15	31	:	:	PUNCT
fumecheng-5164	15	32	ivan	ivan	PROPN
fumecheng-5164	15	33	r.	r.	PROPN
fumecheng-5164	15	34	pavlović	pavlović	PROPN
fumecheng-5164	15	35	faculty	faculty	NOUN
fumecheng-5164	15	36	of	of	ADP
fumecheng-5164	15	37	mechanical	mechanical	ADJ
fumecheng-5164	15	38	engineering	engineering	NOUN
fumecheng-5164	15	39	,	,	PUNCT
fumecheng-5164	15	40	university	university	NOUN
fumecheng-5164	15	41	of	of	ADP
fumecheng-5164	15	42	niš	niš	PROPN
fumecheng-5164	15	43	,	,	PUNCT
fumecheng-5164	15	44	aleksandra	aleksandra	PROPN
fumecheng-5164	15	45	medvedeva	medvedeva	PROPN
fumecheng-5164	15	46	14	14	NUM
fumecheng-5164	15	47	,	,	PUNCT
fumecheng-5164	15	48	18000	18000	NUM
fumecheng-5164	15	49	niš	niš	NOUN
fumecheng-5164	15	50	,	,	PUNCT
fumecheng-5164	15	51	serbia	serbia	PROPN
fumecheng-5164	15	52	e	e	NOUN
fumecheng-5164	15	53	-	-	NOUN
fumecheng-5164	15	54	mail	mail	NOUN
fumecheng-5164	15	55	:	:	PUNCT
fumecheng-5164	15	56	pivan@masfak.ni.ac.rs	pivan@masfak.ni.ac.rs	NUM
fumecheng-5164	15	57	220	220	NUM
fumecheng-5164	15	58	i.	i.	NOUN
fumecheng-5164	15	59	pavlović	pavlović	NOUN
fumecheng-5164	15	60	,	,	PUNCT
fumecheng-5164	15	61	r.	r.	PROPN
fumecheng-5164	15	62	pavlović	pavlović	PROPN
fumecheng-5164	15	63	,	,	PUNCT
fumecheng-5164	15	64	g.	g.	PROPN
fumecheng-5164	15	65	janevski	janevski	PROPN
fumecheng-5164	15	66	,	,	PUNCT
fumecheng-5164	15	67	n.	n.	PROPN
fumecheng-5164	15	68	despenić	despenić	PROPN
fumecheng-5164	15	69	,	,	PUNCT
fumecheng-5164	15	70	v.	v.	ADP
fumecheng-5164	15	71	pajković	pajković	NOUN
fumecheng-5164	15	72	coupled	couple	VERB
fumecheng-5164	15	73	nanobeam	nanobeam	NOUN
fumecheng-5164	15	74	system	system	NOUN
fumecheng-5164	15	75	were	be	AUX
fumecheng-5164	15	76	determined	determine	VERB
fumecheng-5164	15	77	as	as	ADP
fumecheng-5164	15	78	a	a	DET
fumecheng-5164	15	79	function	function	NOUN
fumecheng-5164	15	80	of	of	ADP
fumecheng-5164	15	81	different	different	ADJ
fumecheng-5164	15	82	system	system	NOUN
fumecheng-5164	15	83	parameters	parameter	NOUN
fumecheng-5164	15	84	.	.	PUNCT
fumecheng-5164	16	1	an	an	DET
fumecheng-5164	16	2	accurate	accurate	ADJ
fumecheng-5164	16	3	and	and	CCONJ
fumecheng-5164	16	4	analytical	analytical	ADJ
fumecheng-5164	16	5	method	method	NOUN
fumecheng-5164	16	6	for	for	ADP
fumecheng-5164	16	7	investigating	investigate	VERB
fumecheng-5164	16	8	the	the	DET
fumecheng-5164	16	9	dynamic	dynamic	ADJ
fumecheng-5164	16	10	instability	instability	NOUN
fumecheng-5164	16	11	of	of	ADP
fumecheng-5164	16	12	nanobeams	nanobeam	NOUN
fumecheng-5164	16	13	based	base	VERB
fumecheng-5164	16	14	on	on	ADP
fumecheng-5164	16	15	the	the	DET
fumecheng-5164	16	16	nonlocal	nonlocal	ADJ
fumecheng-5164	16	17	continuum	continuum	ADJ
fumecheng-5164	16	18	mechanics	mechanic	NOUN
fumecheng-5164	16	19	is	be	AUX
fumecheng-5164	16	20	given	give	VERB
fumecheng-5164	16	21	in	in	ADP
fumecheng-5164	16	22	[	[	X
fumecheng-5164	16	23	4	4	NUM
fumecheng-5164	16	24	]	]	PUNCT
fumecheng-5164	16	25	.	.	PUNCT
fumecheng-5164	17	1	using	use	VERB
fumecheng-5164	17	2	the	the	DET
fumecheng-5164	17	3	same	same	ADJ
fumecheng-5164	17	4	beam	beam	NOUN
fumecheng-5164	17	5	theory	theory	NOUN
fumecheng-5164	17	6	,	,	PUNCT
fumecheng-5164	17	7	jena	jena	PROPN
fumecheng-5164	17	8	and	and	CCONJ
fumecheng-5164	17	9	chakraverty	chakraverty	NOUN
fumecheng-5164	17	10	[	[	X
fumecheng-5164	17	11	5	5	NUM
fumecheng-5164	17	12	]	]	PUNCT
fumecheng-5164	17	13	investigates	investigate	VERB
fumecheng-5164	17	14	free	free	ADJ
fumecheng-5164	17	15	vibration	vibration	NOUN
fumecheng-5164	17	16	of	of	ADP
fumecheng-5164	17	17	nanobeams	nanobeam	NOUN
fumecheng-5164	17	18	by	by	ADP
fumecheng-5164	17	19	applying	apply	VERB
fumecheng-5164	17	20	the	the	DET
fumecheng-5164	17	21	semi	semi	ADJ
fumecheng-5164	17	22	analytical	analytical	ADJ
fumecheng-5164	17	23	-	-	PUNCT
fumecheng-5164	17	24	numerical	numerical	ADJ
fumecheng-5164	17	25	technique	technique	NOUN
fumecheng-5164	17	26	called	call	VERB
fumecheng-5164	17	27	differential	differential	ADJ
fumecheng-5164	17	28	transform	transform	NOUN
fumecheng-5164	17	29	method	method	NOUN
fumecheng-5164	17	30	(	(	PUNCT
fumecheng-5164	17	31	dtm	dtm	PROPN
fumecheng-5164	17	32	)	)	PUNCT
fumecheng-5164	17	33	.	.	PUNCT
fumecheng-5164	18	1	the	the	DET
fumecheng-5164	18	2	effects	effect	NOUN
fumecheng-5164	18	3	of	of	ADP
fumecheng-5164	18	4	the	the	DET
fumecheng-5164	18	5	compressive	compressive	ADJ
fumecheng-5164	18	6	axial	axial	ADJ
fumecheng-5164	18	7	load	load	NOUN
fumecheng-5164	18	8	on	on	ADP
fumecheng-5164	18	9	the	the	DET
fumecheng-5164	18	10	properties	property	NOUN
fumecheng-5164	18	11	of	of	ADP
fumecheng-5164	18	12	forced	force	VERB
fumecheng-5164	18	13	transverse	transverse	NOUN
fumecheng-5164	18	14	vibrations	vibration	NOUN
fumecheng-5164	18	15	of	of	ADP
fumecheng-5164	18	16	a	a	DET
fumecheng-5164	18	17	double	double	ADJ
fumecheng-5164	18	18	-	-	PUNCT
fumecheng-5164	18	19	beam	beam	NOUN
fumecheng-5164	18	20	system	system	NOUN
fumecheng-5164	18	21	were	be	AUX
fumecheng-5164	18	22	investigated	investigate	VERB
fumecheng-5164	18	23	by	by	ADP
fumecheng-5164	18	24	zhang	zhang	PROPN
fumecheng-5164	18	25	et	et	PROPN
fumecheng-5164	18	26	al	al	PROPN
fumecheng-5164	18	27	.	.	PUNCT
fumecheng-5164	19	1	[	[	X
fumecheng-5164	19	2	6	6	NUM
fumecheng-5164	19	3	]	]	PUNCT
fumecheng-5164	19	4	.	.	PUNCT
fumecheng-5164	20	1	a	a	DET
fumecheng-5164	20	2	systematic	systematic	ADJ
fumecheng-5164	20	3	study	study	NOUN
fumecheng-5164	20	4	of	of	ADP
fumecheng-5164	20	5	the	the	DET
fumecheng-5164	20	6	moment	moment	NOUN
fumecheng-5164	20	7	lyapunov	lyapunov	NOUN
fumecheng-5164	20	8	exponents	exponent	NOUN
fumecheng-5164	20	9	is	be	AUX
fumecheng-5164	20	10	presented	present	VERB
fumecheng-5164	20	11	in	in	ADP
fumecheng-5164	20	12	the	the	DET
fumecheng-5164	20	13	works	work	NOUN
fumecheng-5164	20	14	of	of	ADP
fumecheng-5164	20	15	xie	xie	PROPN
fumecheng-5164	21	1	[	[	X
fumecheng-5164	21	2	7	7	NUM
fumecheng-5164	21	3	,	,	PUNCT
fumecheng-5164	21	4	8	8	NUM
fumecheng-5164	21	5	]	]	PUNCT
fumecheng-5164	21	6	.	.	PUNCT
fumecheng-5164	22	1	the	the	DET
fumecheng-5164	22	2	method	method	NOUN
fumecheng-5164	22	3	of	of	ADP
fumecheng-5164	22	4	regular	regular	ADJ
fumecheng-5164	22	5	perturbation	perturbation	NOUN
fumecheng-5164	22	6	was	be	AUX
fumecheng-5164	22	7	applied	apply	VERB
fumecheng-5164	22	8	to	to	PART
fumecheng-5164	22	9	obtain	obtain	VERB
fumecheng-5164	22	10	weak	weak	ADJ
fumecheng-5164	22	11	noise	noise	NOUN
fumecheng-5164	22	12	expansions	expansion	NOUN
fumecheng-5164	22	13	of	of	ADP
fumecheng-5164	22	14	the	the	DET
fumecheng-5164	22	15	moment	moment	NOUN
fumecheng-5164	22	16	lyapunov	lyapunov	PROPN
fumecheng-5164	22	17	exponent	exponent	NOUN
fumecheng-5164	22	18	.	.	PUNCT
fumecheng-5164	23	1	by	by	ADP
fumecheng-5164	23	2	using	use	VERB
fumecheng-5164	23	3	the	the	DET
fumecheng-5164	23	4	moment	moment	NOUN
fumecheng-5164	23	5	lyapunov	lyapunov	PROPN
fumecheng-5164	23	6	exponents	exponent	NOUN
fumecheng-5164	23	7	,	,	PUNCT
fumecheng-5164	23	8	bounds	bound	NOUN
fumecheng-5164	23	9	of	of	ADP
fumecheng-5164	23	10	the	the	DET
fumecheng-5164	23	11	almost	almost	ADV
fumecheng-5164	23	12	-	-	PUNCT
fumecheng-5164	23	13	sure	sure	ADJ
fumecheng-5164	23	14	stability	stability	NOUN
fumecheng-5164	23	15	were	be	AUX
fumecheng-5164	23	16	determined	determine	VERB
fumecheng-5164	23	17	for	for	ADP
fumecheng-5164	23	18	bounded	bounded	ADJ
fumecheng-5164	23	19	noise	noise	NOUN
fumecheng-5164	23	20	[	[	X
fumecheng-5164	23	21	7	7	NUM
fumecheng-5164	23	22	]	]	PUNCT
fumecheng-5164	23	23	and	and	CCONJ
fumecheng-5164	23	24	real	real	ADJ
fumecheng-5164	23	25	noise	noise	NOUN
fumecheng-5164	23	26	[	[	X
fumecheng-5164	23	27	8	8	NUM
fumecheng-5164	23	28	]	]	X
fumecheng-5164	23	29	parametric	parametric	ADJ
fumecheng-5164	23	30	excitation	excitation	NOUN
fumecheng-5164	23	31	.	.	PUNCT
fumecheng-5164	24	1	kozić	kozić	PROPN
fumecheng-5164	24	2	et	et	PROPN
fumecheng-5164	24	3	al	al	PROPN
fumecheng-5164	24	4	.	.	PUNCT
fumecheng-5164	25	1	[	[	X
fumecheng-5164	25	2	9	9	NUM
fumecheng-5164	25	3	]	]	PUNCT
fumecheng-5164	25	4	investigated	investigate	VERB
fumecheng-5164	25	5	the	the	DET
fumecheng-5164	25	6	lyapunov	lyapunov	ADJ
fumecheng-5164	25	7	exponent	exponent	NOUN
fumecheng-5164	25	8	and	and	CCONJ
fumecheng-5164	25	9	the	the	DET
fumecheng-5164	25	10	moment	moment	NOUN
fumecheng-5164	25	11	lyapunov	lyapunov	PROPN
fumecheng-5164	25	12	exponents	exponent	NOUN
fumecheng-5164	25	13	of	of	ADP
fumecheng-5164	25	14	two	two	NUM
fumecheng-5164	25	15	degrees	degree	NOUN
fumecheng-5164	25	16	-	-	PUNCT
fumecheng-5164	25	17	of	of	ADP
fumecheng-5164	25	18	-	-	PUNCT
fumecheng-5164	25	19	freedom	freedom	NOUN
fumecheng-5164	25	20	linear	linear	PROPN
fumecheng-5164	25	21	systems	system	NOUN
fumecheng-5164	25	22	subjected	subject	VERB
fumecheng-5164	25	23	to	to	ADP
fumecheng-5164	25	24	white	white	ADJ
fumecheng-5164	25	25	noise	noise	NOUN
fumecheng-5164	25	26	parametric	parametric	ADJ
fumecheng-5164	25	27	excitation	excitation	NOUN
fumecheng-5164	25	28	.	.	PUNCT
fumecheng-5164	26	1	the	the	DET
fumecheng-5164	26	2	results	result	NOUN
fumecheng-5164	26	3	from	from	ADP
fumecheng-5164	26	4	this	this	DET
fumecheng-5164	26	5	study	study	NOUN
fumecheng-5164	26	6	were	be	AUX
fumecheng-5164	26	7	further	far	ADV
fumecheng-5164	26	8	used	use	VERB
fumecheng-5164	26	9	for	for	ADP
fumecheng-5164	26	10	the	the	DET
fumecheng-5164	26	11	study	study	NOUN
fumecheng-5164	26	12	of	of	ADP
fumecheng-5164	26	13	the	the	DET
fumecheng-5164	26	14	almost	almost	ADV
fumecheng-5164	26	15	-	-	PUNCT
fumecheng-5164	26	16	sure	sure	ADJ
fumecheng-5164	26	17	and	and	CCONJ
fumecheng-5164	26	18	moment	moment	VERB
fumecheng-5164	26	19	stability	stability	NOUN
fumecheng-5164	26	20	of	of	ADP
fumecheng-5164	26	21	a	a	DET
fumecheng-5164	26	22	double	double	ADJ
fumecheng-5164	26	23	-	-	PUNCT
fumecheng-5164	26	24	beam	beam	NOUN
fumecheng-5164	26	25	system	system	NOUN
fumecheng-5164	26	26	under	under	ADP
fumecheng-5164	26	27	stochastic	stochastic	ADJ
fumecheng-5164	26	28	compressive	compressive	ADJ
fumecheng-5164	26	29	axial	axial	ADJ
fumecheng-5164	26	30	loading	loading	NOUN
fumecheng-5164	26	31	.	.	PUNCT
fumecheng-5164	27	1	similarly	similarly	ADV
fumecheng-5164	27	2	,	,	PUNCT
fumecheng-5164	27	3	the	the	DET
fumecheng-5164	27	4	moment	moment	NOUN
fumecheng-5164	27	5	lyapunov	lyapunov	PROPN
fumecheng-5164	27	6	exponents	exponent	NOUN
fumecheng-5164	27	7	of	of	ADP
fumecheng-5164	27	8	the	the	DET
fumecheng-5164	27	9	stochastic	stochastic	ADJ
fumecheng-5164	27	10	parametrical	parametrical	PROPN
fumecheng-5164	27	11	hill	hill	PROPN
fumecheng-5164	27	12	’s	’s	PART
fumecheng-5164	27	13	equation	equation	NOUN
fumecheng-5164	27	14	were	be	AUX
fumecheng-5164	27	15	investigated	investigate	VERB
fumecheng-5164	27	16	by	by	ADP
fumecheng-5164	27	17	the	the	DET
fumecheng-5164	27	18	same	same	ADJ
fumecheng-5164	27	19	authors	author	NOUN
fumecheng-5164	27	20	in	in	ADP
fumecheng-5164	27	21	[	[	X
fumecheng-5164	27	22	10	10	NUM
fumecheng-5164	27	23	]	]	PUNCT
fumecheng-5164	27	24	.	.	PUNCT
fumecheng-5164	28	1	pavlović	pavlović	NOUN
fumecheng-5164	28	2	et	et	PROPN
fumecheng-5164	28	3	al	al	PROPN
fumecheng-5164	28	4	.	.	PUNCT
fumecheng-5164	29	1	[	[	X
fumecheng-5164	29	2	11	11	NUM
fumecheng-5164	29	3	]	]	PUNCT
fumecheng-5164	29	4	used	use	VERB
fumecheng-5164	29	5	this	this	DET
fumecheng-5164	29	6	method	method	NOUN
fumecheng-5164	29	7	to	to	PART
fumecheng-5164	29	8	compare	compare	VERB
fumecheng-5164	29	9	the	the	DET
fumecheng-5164	29	10	analytically	analytically	ADV
fumecheng-5164	29	11	obtained	obtain	VERB
fumecheng-5164	29	12	results	result	NOUN
fumecheng-5164	29	13	of	of	ADP
fumecheng-5164	29	14	the	the	DET
fumecheng-5164	29	15	moment	moment	NOUN
fumecheng-5164	29	16	lyapunov	lyapunov	PROPN
fumecheng-5164	29	17	exponent	exponent	NOUN
fumecheng-5164	29	18	for	for	ADP
fumecheng-5164	29	19	a	a	DET
fumecheng-5164	29	20	simple	simple	ADJ
fumecheng-5164	29	21	nanobeam	nanobeam	NOUN
fumecheng-5164	29	22	numerically	numerically	ADV
fumecheng-5164	29	23	determined	determined	ADJ
fumecheng-5164	29	24	for	for	ADP
fumecheng-5164	29	25	the	the	DET
fumecheng-5164	29	26	same	same	ADJ
fumecheng-5164	29	27	system	system	NOUN
fumecheng-5164	29	28	.	.	PUNCT
fumecheng-5164	30	1	within	within	ADP
fumecheng-5164	30	2	the	the	DET
fumecheng-5164	30	3	concept	concept	NOUN
fumecheng-5164	30	4	of	of	ADP
fumecheng-5164	30	5	the	the	DET
fumecheng-5164	30	6	lyapunov	lyapunov	ADJ
fumecheng-5164	30	7	exponent	exponent	NOUN
fumecheng-5164	30	8	,	,	PUNCT
fumecheng-5164	30	9	by	by	ADP
fumecheng-5164	30	10	using	use	VERB
fumecheng-5164	30	11	the	the	DET
fumecheng-5164	30	12	stochastic	stochastic	ADJ
fumecheng-5164	30	13	averaging	averaging	NOUN
fumecheng-5164	30	14	method	method	NOUN
fumecheng-5164	30	15	,	,	PUNCT
fumecheng-5164	30	16	the	the	DET
fumecheng-5164	30	17	dynamic	dynamic	ADJ
fumecheng-5164	30	18	stability	stability	NOUN
fumecheng-5164	30	19	of	of	ADP
fumecheng-5164	30	20	a	a	DET
fumecheng-5164	30	21	viscoelastic	viscoelastic	ADJ
fumecheng-5164	30	22	double	double	ADJ
fumecheng-5164	30	23	-	-	PUNCT
fumecheng-5164	30	24	beam	beam	NOUN
fumecheng-5164	30	25	system	system	NOUN
fumecheng-5164	30	26	under	under	ADP
fumecheng-5164	30	27	parametric	parametric	ADJ
fumecheng-5164	30	28	excitations	excitation	NOUN
fumecheng-5164	30	29	was	be	AUX
fumecheng-5164	30	30	investigated	investigate	VERB
fumecheng-5164	30	31	in	in	ADP
fumecheng-5164	30	32	[	[	X
fumecheng-5164	30	33	12	12	NUM
fumecheng-5164	30	34	]	]	PUNCT
fumecheng-5164	30	35	.	.	PUNCT
fumecheng-5164	31	1	the	the	DET
fumecheng-5164	31	2	effect	effect	NOUN
fumecheng-5164	31	3	of	of	ADP
fumecheng-5164	31	4	the	the	DET
fumecheng-5164	31	5	van	van	PROPN
fumecheng-5164	31	6	der	der	NOUN
fumecheng-5164	31	7	waals	waal	NOUN
fumecheng-5164	31	8	forces	force	NOUN
fumecheng-5164	31	9	on	on	ADP
fumecheng-5164	31	10	axial	axial	ADJ
fumecheng-5164	31	11	buckling	buckling	NOUN
fumecheng-5164	31	12	of	of	ADP
fumecheng-5164	31	13	a	a	DET
fumecheng-5164	31	14	double	double	ADJ
fumecheng-5164	31	15	-	-	PUNCT
fumecheng-5164	31	16	walled	wall	VERB
fumecheng-5164	31	17	carbon	carbon	NOUN
fumecheng-5164	31	18	nanotube	nanotube	NOUN
fumecheng-5164	31	19	was	be	AUX
fumecheng-5164	31	20	presented	present	VERB
fumecheng-5164	31	21	in	in	ADP
fumecheng-5164	31	22	[	[	X
fumecheng-5164	31	23	13	13	NUM
fumecheng-5164	31	24	]	]	PUNCT
fumecheng-5164	31	25	,	,	PUNCT
fumecheng-5164	31	26	where	where	SCONJ
fumecheng-5164	31	27	an	an	DET
fumecheng-5164	31	28	elastic	elastic	ADJ
fumecheng-5164	31	29	model	model	NOUN
fumecheng-5164	31	30	was	be	AUX
fumecheng-5164	31	31	used	use	VERB
fumecheng-5164	31	32	to	to	PART
fumecheng-5164	31	33	study	study	VERB
fumecheng-5164	31	34	infinitesimal	infinitesimal	ADJ
fumecheng-5164	31	35	buckling	buckling	NOUN
fumecheng-5164	31	36	of	of	ADP
fumecheng-5164	31	37	a	a	DET
fumecheng-5164	31	38	double	double	ADJ
fumecheng-5164	31	39	-	-	PUNCT
fumecheng-5164	31	40	walled	walled	ADJ
fumecheng-5164	31	41	carbon	carbon	NOUN
fumecheng-5164	31	42	nanotube	nanotube	NOUN
fumecheng-5164	31	43	under	under	ADP
fumecheng-5164	31	44	axial	axial	ADJ
fumecheng-5164	31	45	compression	compression	NOUN
fumecheng-5164	31	46	.	.	PUNCT
fumecheng-5164	32	1	the	the	DET
fumecheng-5164	32	2	present	present	ADJ
fumecheng-5164	32	3	paper	paper	NOUN
fumecheng-5164	32	4	investigates	investigate	VERB
fumecheng-5164	32	5	the	the	DET
fumecheng-5164	32	6	almost	almost	ADV
fumecheng-5164	32	7	-	-	PUNCT
fumecheng-5164	32	8	sure	sure	ADJ
fumecheng-5164	32	9	stability	stability	NOUN
fumecheng-5164	32	10	of	of	ADP
fumecheng-5164	32	11	a	a	DET
fumecheng-5164	32	12	double	double	ADJ
fumecheng-5164	32	13	nanobeam	nanobeam	NOUN
fumecheng-5164	32	14	.	.	PUNCT
fumecheng-5164	33	1	in	in	ADP
fumecheng-5164	33	2	section	section	NOUN
fumecheng-5164	33	3	2	2	NUM
fumecheng-5164	33	4	the	the	DET
fumecheng-5164	33	5	governing	govern	VERB
fumecheng-5164	33	6	differential	differential	ADJ
fumecheng-5164	33	7	equations	equation	NOUN
fumecheng-5164	33	8	of	of	ADP
fumecheng-5164	33	9	transverse	transverse	NOUN
fumecheng-5164	33	10	motion	motion	NOUN
fumecheng-5164	33	11	of	of	ADP
fumecheng-5164	33	12	two	two	NUM
fumecheng-5164	33	13	elastically	elastically	ADV
fumecheng-5164	33	14	connected	connect	VERB
fumecheng-5164	33	15	nanobeams	nanobeam	NOUN
fumecheng-5164	33	16	are	be	AUX
fumecheng-5164	33	17	presented	present	VERB
fumecheng-5164	33	18	.	.	PUNCT
fumecheng-5164	34	1	using	use	VERB
fumecheng-5164	34	2	the	the	DET
fumecheng-5164	34	3	galerkin	galerkin	ADJ
fumecheng-5164	34	4	method	method	NOUN
fumecheng-5164	34	5	the	the	DET
fumecheng-5164	34	6	system	system	NOUN
fumecheng-5164	34	7	is	be	AUX
fumecheng-5164	34	8	discretizated	discretizate	VERB
fumecheng-5164	34	9	in	in	ADP
fumecheng-5164	34	10	section	section	NOUN
fumecheng-5164	34	11	3	3	NUM
fumecheng-5164	34	12	,	,	PUNCT
fumecheng-5164	34	13	where	where	SCONJ
fumecheng-5164	34	14	the	the	DET
fumecheng-5164	34	15	analyzed	analyze	VERB
fumecheng-5164	34	16	system	system	NOUN
fumecheng-5164	34	17	is	be	AUX
fumecheng-5164	34	18	reduced	reduce	VERB
fumecheng-5164	34	19	to	to	ADP
fumecheng-5164	34	20	two	two	NUM
fumecheng-5164	34	21	ordinary	ordinary	ADJ
fumecheng-5164	34	22	differential	differential	ADJ
fumecheng-5164	34	23	equations	equation	NOUN
fumecheng-5164	34	24	representing	represent	VERB
fumecheng-5164	34	25	only	only	ADV
fumecheng-5164	34	26	the	the	DET
fumecheng-5164	34	27	time	time	NOUN
fumecheng-5164	34	28	varying	vary	VERB
fumecheng-5164	34	29	part	part	NOUN
fumecheng-5164	34	30	of	of	ADP
fumecheng-5164	34	31	the	the	DET
fumecheng-5164	34	32	solution	solution	NOUN
fumecheng-5164	34	33	.	.	PUNCT
fumecheng-5164	35	1	for	for	ADP
fumecheng-5164	35	2	the	the	DET
fumecheng-5164	35	3	obtained	obtain	VERB
fumecheng-5164	35	4	discretizated	discretizate	VERB
fumecheng-5164	35	5	form	form	NOUN
fumecheng-5164	35	6	,	,	PUNCT
fumecheng-5164	35	7	the	the	DET
fumecheng-5164	35	8	appropriate	appropriate	ADJ
fumecheng-5164	35	9	analytical	analytical	ADJ
fumecheng-5164	35	10	expression	expression	NOUN
fumecheng-5164	35	11	of	of	ADP
fumecheng-5164	35	12	the	the	DET
fumecheng-5164	35	13	moment	moment	NOUN
fumecheng-5164	35	14	lyapunov	lyapunov	PROPN
fumecheng-5164	35	15	exponent	exponent	NOUN
fumecheng-5164	35	16	is	be	AUX
fumecheng-5164	35	17	given	give	VERB
fumecheng-5164	35	18	in	in	ADP
fumecheng-5164	35	19	section	section	NOUN
fumecheng-5164	35	20	4	4	NUM
fumecheng-5164	35	21	.	.	PUNCT
fumecheng-5164	36	1	the	the	DET
fumecheng-5164	36	2	lyapunov	lyapunov	ADJ
fumecheng-5164	36	3	exponents	exponent	NOUN
fumecheng-5164	36	4	are	be	AUX
fumecheng-5164	36	5	then	then	ADV
fumecheng-5164	36	6	obtained	obtain	VERB
fumecheng-5164	36	7	using	use	VERB
fumecheng-5164	36	8	the	the	DET
fumecheng-5164	36	9	relationship	relationship	NOUN
fumecheng-5164	36	10	between	between	ADP
fumecheng-5164	36	11	the	the	DET
fumecheng-5164	36	12	moment	moment	NOUN
fumecheng-5164	36	13	lyapunov	lyapunov	PROPN
fumecheng-5164	36	14	exponents	exponent	NOUN
fumecheng-5164	36	15	and	and	CCONJ
fumecheng-5164	36	16	the	the	DET
fumecheng-5164	36	17	lyapunov	lyapunov	ADJ
fumecheng-5164	36	18	exponent	exponent	NOUN
fumecheng-5164	36	19	.	.	PUNCT
fumecheng-5164	37	1	in	in	ADP
fumecheng-5164	37	2	section	section	NOUN
fumecheng-5164	37	3	5	5	NUM
fumecheng-5164	37	4	numerical	numerical	ADJ
fumecheng-5164	37	5	results	result	NOUN
fumecheng-5164	37	6	and	and	CCONJ
fumecheng-5164	37	7	stability	stability	NOUN
fumecheng-5164	37	8	analysis	analysis	NOUN
fumecheng-5164	37	9	for	for	ADP
fumecheng-5164	37	10	different	different	ADJ
fumecheng-5164	37	11	system	system	NOUN
fumecheng-5164	37	12	parameters	parameter	NOUN
fumecheng-5164	37	13	are	be	AUX
fumecheng-5164	37	14	presented	present	VERB
fumecheng-5164	37	15	along	along	ADP
fumecheng-5164	37	16	with	with	ADP
fumecheng-5164	37	17	an	an	DET
fumecheng-5164	37	18	appropriate	appropriate	ADJ
fumecheng-5164	37	19	conclusion	conclusion	NOUN
fumecheng-5164	37	20	.	.	PUNCT
fumecheng-5164	38	1	concluding	conclude	VERB
fumecheng-5164	38	2	remarks	remark	NOUN
fumecheng-5164	38	3	are	be	AUX
fumecheng-5164	38	4	given	give	VERB
fumecheng-5164	38	5	in	in	ADP
fumecheng-5164	38	6	section	section	NOUN
fumecheng-5164	38	7	6	6	NUM
fumecheng-5164	38	8	.	.	NOUN
fumecheng-5164	38	9	2	2	NUM
fumecheng-5164	38	10	.	.	NUM
fumecheng-5164	38	11	analyzed	analyze	VERB
fumecheng-5164	38	12	system	system	NOUN
fumecheng-5164	38	13	following	follow	VERB
fumecheng-5164	38	14	the	the	DET
fumecheng-5164	38	15	eringen	eringen	NOUN
fumecheng-5164	38	16	’s	’s	PART
fumecheng-5164	38	17	nonlocal	nonlocal	ADJ
fumecheng-5164	38	18	elasticity	elasticity	NOUN
fumecheng-5164	38	19	theory	theory	NOUN
fumecheng-5164	38	20	[	[	X
fumecheng-5164	38	21	14	14	NUM
fumecheng-5164	38	22	]	]	PUNCT
fumecheng-5164	38	23	and	and	CCONJ
fumecheng-5164	38	24	the	the	DET
fumecheng-5164	38	25	euler	euler	PROPN
fumecheng-5164	38	26	–	–	PUNCT
fumecheng-5164	38	27	bernoulli	bernoulli	PROPN
fumecheng-5164	38	28	beam	beam	NOUN
fumecheng-5164	38	29	theory	theory	NOUN
fumecheng-5164	38	30	,	,	PUNCT
fumecheng-5164	38	31	the	the	DET
fumecheng-5164	38	32	partial	partial	ADJ
fumecheng-5164	38	33	differential	differential	ADJ
fumecheng-5164	38	34	equations	equation	NOUN
fumecheng-5164	38	35	of	of	ADP
fumecheng-5164	38	36	the	the	DET
fumecheng-5164	38	37	two	two	NUM
fumecheng-5164	38	38	elastically	elastically	ADV
fumecheng-5164	38	39	connected	connect	VERB
fumecheng-5164	38	40	nanobeams	nanobeam	NOUN
fumecheng-5164	38	41	are	be	AUX
fumecheng-5164	38	42	given	give	VERB
fumecheng-5164	38	43	by	by	ADP
fumecheng-5164	38	44	[	[	X
fumecheng-5164	38	45	3	3	NUM
fumecheng-5164	38	46	]	]	SYM
fumecheng-5164	38	47	0	0	NUM
fumecheng-5164	38	48	)	)	PUNCT
fumecheng-5164	38	49	(	(	PUNCT
fumecheng-5164	38	50	)	)	PUNCT
fumecheng-5164	38	51	(	(	PUNCT
fumecheng-5164	38	52	4	4	NUM
fumecheng-5164	38	53	1	1	NUM
fumecheng-5164	38	54	4	4	NUM
fumecheng-5164	38	55	11212	11212	NUM
fumecheng-5164	38	56	1	1	NUM
fumecheng-5164	38	57	2	2	NUM
fumecheng-5164	38	58	1	1	NUM
fumecheng-5164	38	59	1	1	NUM
fumecheng-5164	38	60	12	12	NUM
fumecheng-5164	38	61	1	1	NUM
fumecheng-5164	38	62	2	2	NUM
fumecheng-5164	38	63	11	11	NUM
fumecheng-5164	38	64			PROPN
fumecheng-5164	38	65			ADJ
fumecheng-5164	38	66			PROPN
fumecheng-5164	38	67			ADV
fumecheng-5164	38	68			PROPN
fumecheng-5164	38	69			PROPN
fumecheng-5164	38	70			PROPN
fumecheng-5164	38	71			X
fumecheng-5164	38	72			NOUN
fumecheng-5164	38	73			NOUN
fumecheng-5164	38	74			VERB
fumecheng-5164	38	75			PROPN
fumecheng-5164	38	76			PROPN
fumecheng-5164	38	77			PROPN
fumecheng-5164	38	78			PROPN
fumecheng-5164	38	79			PROPN
fumecheng-5164	38	80			PROPN
fumecheng-5164	38	81			PROPN
fumecheng-5164	38	82			PUNCT
fumecheng-5164	38	83			ADJ
fumecheng-5164	38	84			PROPN
fumecheng-5164	38	85	x	x	SYM
fumecheng-5164	38	86	w	w	NOUN
fumecheng-5164	38	87	iewwk	iewwk	NOUN
fumecheng-5164	38	88	x	x	PROPN
fumecheng-5164	39	1	w	w	NOUN
fumecheng-5164	39	2	tf	tf	INTJ
fumecheng-5164	39	3	t	t	PROPN
fumecheng-5164	39	4	w	w	PROPN
fumecheng-5164	39	5	c	c	PROPN
fumecheng-5164	39	6	t	t	PROPN
fumecheng-5164	39	7	w	w	PROPN
fumecheng-5164	39	8	al	al	PROPN
fumecheng-5164	39	9	,	,	PUNCT
fumecheng-5164	39	10	0	0	NUM
fumecheng-5164	39	11	)	)	PUNCT
fumecheng-5164	39	12	(	(	PUNCT
fumecheng-5164	39	13	)	)	PUNCT
fumecheng-5164	39	14	(	(	PUNCT
fumecheng-5164	39	15	4	4	NUM
fumecheng-5164	39	16	2	2	NUM
fumecheng-5164	39	17	4	4	NUM
fumecheng-5164	39	18	22122	22122	NUM
fumecheng-5164	39	19	2	2	NUM
fumecheng-5164	39	20	2	2	NUM
fumecheng-5164	39	21	2	2	NUM
fumecheng-5164	39	22	2	2	NUM
fumecheng-5164	39	23	22	22	NUM
fumecheng-5164	39	24	2	2	NUM
fumecheng-5164	39	25	2	2	NUM
fumecheng-5164	39	26	22	22	NUM
fumecheng-5164	39	27			PROPN
fumecheng-5164	39	28			ADJ
fumecheng-5164	39	29			PROPN
fumecheng-5164	39	30			ADV
fumecheng-5164	39	31			PROPN
fumecheng-5164	39	32			PROPN
fumecheng-5164	39	33			PROPN
fumecheng-5164	39	34			X
fumecheng-5164	39	35			NOUN
fumecheng-5164	39	36			NOUN
fumecheng-5164	39	37			VERB
fumecheng-5164	39	38			PROPN
fumecheng-5164	39	39			PROPN
fumecheng-5164	39	40			PROPN
fumecheng-5164	39	41			PROPN
fumecheng-5164	39	42			PROPN
fumecheng-5164	39	43			PROPN
fumecheng-5164	39	44			PROPN
fumecheng-5164	39	45			PUNCT
fumecheng-5164	39	46			ADJ
fumecheng-5164	39	47			PROPN
fumecheng-5164	39	48	x	x	SYM
fumecheng-5164	39	49	w	w	NOUN
fumecheng-5164	39	50	iewwk	iewwk	NOUN
fumecheng-5164	39	51	x	x	PROPN
fumecheng-5164	40	1	w	w	NOUN
fumecheng-5164	40	2	tf	tf	INTJ
fumecheng-5164	40	3	t	t	PROPN
fumecheng-5164	40	4	w	w	PROPN
fumecheng-5164	40	5	c	c	PROPN
fumecheng-5164	40	6	t	t	PROPN
fumecheng-5164	40	7	w	w	PROPN
fumecheng-5164	40	8	al	al	PROPN
fumecheng-5164	40	9	,	,	PUNCT
fumecheng-5164	40	10	(	(	PUNCT
fumecheng-5164	40	11	1	1	X
fumecheng-5164	40	12	)	)	PUNCT
fumecheng-5164	40	13	dynamic	dynamic	ADJ
fumecheng-5164	40	14	behavior	behavior	NOUN
fumecheng-5164	40	15	of	of	ADP
fumecheng-5164	40	16	two	two	NUM
fumecheng-5164	40	17	elastically	elastically	ADV
fumecheng-5164	40	18	connected	connect	VERB
fumecheng-5164	40	19	nanobeams	nanobeam	NOUN
fumecheng-5164	40	20	under	under	ADP
fumecheng-5164	40	21	a	a	DET
fumecheng-5164	40	22	white	white	ADJ
fumecheng-5164	40	23	noise	noise	NOUN
fumecheng-5164	40	24	process	process	NOUN
fumecheng-5164	40	25	221	221	NUM
fumecheng-5164	40	26	where	where	SCONJ
fumecheng-5164	40	27	i	i	NOUN
fumecheng-5164	40	28	and	and	CCONJ
fumecheng-5164	40	29	ai	ai	VERB
fumecheng-5164	40	30	are	be	AUX
fumecheng-5164	40	31	the	the	DET
fumecheng-5164	40	32	mass	mass	ADJ
fumecheng-5164	40	33	densities	density	NOUN
fumecheng-5164	40	34	and	and	CCONJ
fumecheng-5164	40	35	the	the	DET
fumecheng-5164	40	36	cross	cross	ADJ
fumecheng-5164	40	37	-	-	ADJ
fumecheng-5164	40	38	sectional	sectional	ADJ
fumecheng-5164	40	39	areas	area	NOUN
fumecheng-5164	40	40	of	of	ADP
fumecheng-5164	40	41	the	the	DET
fumecheng-5164	40	42	beams	beam	NOUN
fumecheng-5164	40	43	,	,	PUNCT
fumecheng-5164	40	44	k	k	PROPN
fumecheng-5164	40	45	is	be	AUX
fumecheng-5164	40	46	the	the	DET
fumecheng-5164	40	47	stiffness	stiffness	NOUN
fumecheng-5164	40	48	of	of	ADP
fumecheng-5164	40	49	the	the	DET
fumecheng-5164	40	50	elastic	elastic	ADJ
fumecheng-5164	40	51	medium	medium	NOUN
fumecheng-5164	40	52	,	,	PUNCT
fumecheng-5164	40	53	wi=	wi=	PROPN
fumecheng-5164	40	54	wi(x	wi(x	PROPN
fumecheng-5164	40	55	,	,	PUNCT
fumecheng-5164	40	56	t	t	PROPN
fumecheng-5164	40	57	)	)	PUNCT
fumecheng-5164	40	58	are	be	AUX
fumecheng-5164	40	59	the	the	DET
fumecheng-5164	40	60	transverse	transverse	NOUN
fumecheng-5164	40	61	displacements	displacement	NOUN
fumecheng-5164	40	62	,	,	PUNCT
fumecheng-5164	40	63	x	x	X
fumecheng-5164	40	64	is	be	AUX
fumecheng-5164	40	65	the	the	DET
fumecheng-5164	40	66	axial	axial	ADJ
fumecheng-5164	40	67	coordinate	coordinate	NOUN
fumecheng-5164	40	68	,	,	PUNCT
fumecheng-5164	40	69	t	t	PROPN
fumecheng-5164	40	70	is	be	AUX
fumecheng-5164	40	71	the	the	DET
fumecheng-5164	40	72	time	time	NOUN
fumecheng-5164	40	73	,	,	PUNCT
fumecheng-5164	40	74	ci	ci	PROPN
fumecheng-5164	40	75	are	be	AUX
fumecheng-5164	40	76	the	the	DET
fumecheng-5164	40	77	viscous	viscous	ADJ
fumecheng-5164	40	78	damping	damp	VERB
fumecheng-5164	40	79	coefficients	coefficient	NOUN
fumecheng-5164	40	80	,	,	PUNCT
fumecheng-5164	40	81	eiii	eiii	PROPN
fumecheng-5164	40	82	are	be	AUX
fumecheng-5164	40	83	the	the	DET
fumecheng-5164	40	84	bending	bend	VERB
fumecheng-5164	40	85	stiffnesses	stiffness	NOUN
fumecheng-5164	40	86	of	of	ADP
fumecheng-5164	40	87	the	the	DET
fumecheng-5164	40	88	beams	beam	NOUN
fumecheng-5164	40	89	,	,	PUNCT
fumecheng-5164	40	90	and	and	CCONJ
fumecheng-5164	40	91	fi(t	fi(t	NOUN
fumecheng-5164	40	92	)	)	PUNCT
fumecheng-5164	40	93	are	be	AUX
fumecheng-5164	40	94	the	the	DET
fumecheng-5164	40	95	time	time	NOUN
fumecheng-5164	40	96	-	-	PUNCT
fumecheng-5164	40	97	dependent	dependent	ADJ
fumecheng-5164	40	98	stationary	stationary	ADJ
fumecheng-5164	40	99	stochastic	stochastic	NOUN
fumecheng-5164	40	100	processes	process	NOUN
fumecheng-5164	40	101	and	and	CCONJ
fumecheng-5164	40	102	operator	operator	NOUN
fumecheng-5164	40	103	l	l	NOUN
fumecheng-5164	40	104	is	be	AUX
fumecheng-5164	40	105	.)(1	.)(1	NOUN
fumecheng-5164	40	106	2	2	NUM
fumecheng-5164	40	107	2	2	NUM
fumecheng-5164	40	108	2	2	NUM
fumecheng-5164	40	109	x	x	SYM
fumecheng-5164	40	110	ea	ea	ADP
fumecheng-5164	40	111			ADJ
fumecheng-5164	40	112			ADJ
fumecheng-5164	40	113	l	l	NOUN
fumecheng-5164	40	114	(	(	PUNCT
fumecheng-5164	40	115	2	2	X
fumecheng-5164	40	116	)	)	PUNCT
fumecheng-5164	40	117	the	the	DET
fumecheng-5164	40	118	boundary	boundary	ADJ
fumecheng-5164	40	119	conditions	condition	NOUN
fumecheng-5164	40	120	for	for	ADP
fumecheng-5164	40	121	the	the	DET
fumecheng-5164	40	122	simply	simply	ADV
fumecheng-5164	40	123	supported	support	VERB
fumecheng-5164	40	124	edges	edge	NOUN
fumecheng-5164	40	125	are	be	AUX
fumecheng-5164	40	126	.	.	PUNCT
fumecheng-5164	41	1	x	x	X
fumecheng-5164	41	2	w	w	X
fumecheng-5164	41	3	,	,	PUNCT
fumecheng-5164	41	4	w	w	PROPN
fumecheng-5164	41	5	,	,	PUNCT
fumecheng-5164	41	6	x	x	VERB
fumecheng-5164	41	7	w	w	NOUN
fumecheng-5164	41	8	,	,	PUNCT
fumecheng-5164	41	9	w	w	NOUN
fumecheng-5164	41	10	lx	lx	NOUN
fumecheng-5164	41	11	x	x	SYM
fumecheng-5164	41	12	0000	0000	NUM
fumecheng-5164	41	13	0	0	NUM
fumecheng-5164	41	14	2	2	NUM
fumecheng-5164	41	15	2	2	NUM
fumecheng-5164	41	16	2	2	NUM
fumecheng-5164	41	17	22	22	NUM
fumecheng-5164	41	18	1	1	NUM
fumecheng-5164	41	19	2	2	NUM
fumecheng-5164	41	20	1	1	NUM
fumecheng-5164	41	21			NOUN
fumecheng-5164	41	22			ADJ
fumecheng-5164	41	23			ADJ
fumecheng-5164	41	24			NUM
fumecheng-5164	41	25			ADJ
fumecheng-5164	41	26			ADJ
fumecheng-5164	41	27			PRON
fumecheng-5164	42	1			NUM
fumecheng-5164	42	2			INTJ
fumecheng-5164	43	1			NUM
fumecheng-5164	44	1			NUM
fumecheng-5164	44	2			NOUN
fumecheng-5164	44	3	(	(	PUNCT
fumecheng-5164	44	4	3	3	NUM
fumecheng-5164	44	5	)	)	PUNCT
fumecheng-5164	44	6	following	follow	VERB
fumecheng-5164	44	7	the	the	DET
fumecheng-5164	44	8	work	work	NOUN
fumecheng-5164	44	9	of	of	ADP
fumecheng-5164	44	10	murmu	murmu	NOUN
fumecheng-5164	44	11	and	and	CCONJ
fumecheng-5164	44	12	adhikari	adhikari	PROPN
fumecheng-5164	45	1	[	[	X
fumecheng-5164	45	2	15	15	NUM
fumecheng-5164	45	3	]	]	PUNCT
fumecheng-5164	45	4	,	,	PUNCT
fumecheng-5164	45	5	we	we	PRON
fumecheng-5164	45	6	assume	assume	VERB
fumecheng-5164	45	7	that	that	SCONJ
fumecheng-5164	45	8	both	both	DET
fumecheng-5164	45	9	nanobeams	nanobeam	NOUN
fumecheng-5164	45	10	are	be	AUX
fumecheng-5164	45	11	identical	identical	ADJ
fumecheng-5164	45	12	ρ1a1=	ρ1a1=	PROPN
fumecheng-5164	45	13	ρ2a2=	ρ2a2=	PROPN
fumecheng-5164	45	14	ρa	ρa	X
fumecheng-5164	45	15	,	,	PUNCT
fumecheng-5164	45	16	e1i1=	e1i1=	PROPN
fumecheng-5164	45	17	e2i2=	e2i2=	PROPN
fumecheng-5164	45	18	ei	ei	PROPN
fumecheng-5164	45	19	,	,	PUNCT
fumecheng-5164	45	20	c1	c1	PROPN
fumecheng-5164	45	21	=	=	SYM
fumecheng-5164	45	22	c2	c2	PROPN
fumecheng-5164	45	23	=	=	PROPN
fumecheng-5164	45	24	c.	c.	PROPN
fumecheng-5164	45	25	(	(	PUNCT
fumecheng-5164	45	26	4	4	NUM
fumecheng-5164	45	27	)	)	PUNCT
fumecheng-5164	45	28	now	now	ADV
fumecheng-5164	45	29	,	,	PUNCT
fumecheng-5164	45	30	the	the	DET
fumecheng-5164	45	31	system	system	NOUN
fumecheng-5164	45	32	given	give	VERB
fumecheng-5164	45	33	with	with	ADP
fumecheng-5164	45	34	expression	expression	NOUN
fumecheng-5164	45	35	(	(	PUNCT
fumecheng-5164	45	36	1	1	NUM
fumecheng-5164	45	37	)	)	PUNCT
fumecheng-5164	45	38	is	be	AUX
fumecheng-5164	45	39	non	non	ADJ
fumecheng-5164	45	40	-	-	ADJ
fumecheng-5164	45	41	dimensionalized	dimensionalized	ADJ
fumecheng-5164	45	42	using	use	VERB
fumecheng-5164	45	43	the	the	DET
fumecheng-5164	45	44	following	follow	VERB
fumecheng-5164	45	45	parameters	parameter	NOUN
fumecheng-5164	45	46	ei	ei	ADP
fumecheng-5164	45	47	a	a	DET
fumecheng-5164	45	48	lklxxlwwkt	lklxxlwwkt	NOUN
fumecheng-5164	45	49	,	,	PUNCT
fumecheng-5164	46	1	t	t	PROPN
fumecheng-5164	46	2	tii	tii	PROPN
fumecheng-5164	46	3	2	2	PROPN
fumecheng-5164	46	4	,	,	PUNCT
fumecheng-5164	46	5	,	,	PUNCT
fumecheng-5164	46	6			PROPN
fumecheng-5164	46	7	,	,	PUNCT
fumecheng-5164	46	8	)	)	PUNCT
fumecheng-5164	46	9	2,1	2,1	NUM
fumecheng-5164	46	10	(	(	PUNCT
fumecheng-5164	46	11	,	,	PUNCT
fumecheng-5164	46	12	)	)	PUNCT
fumecheng-5164	46	13	)	)	PUNCT
fumecheng-5164	47	1	(	(	PUNCT
fumecheng-5164	47	2	(	(	PUNCT
fumecheng-5164	47	3	20	20	NUM
fumecheng-5164	47	4			NOUN
fumecheng-5164	47	5	i	i	PRON
fumecheng-5164	47	6	a	a	DET
fumecheng-5164	47	7	lk	lk	PROPN
fumecheng-5164	47	8	k	k	PROPN
fumecheng-5164	47	9	,	,	PUNCT
fumecheng-5164	47	10	al	al	PROPN
fumecheng-5164	47	11	f	f	PROPN
fumecheng-5164	47	12	tff	tff	PROPN
fumecheng-5164	47	13	,	,	PUNCT
fumecheng-5164	47	14	a	a	DET
fumecheng-5164	47	15	ck	ck	NOUN
fumecheng-5164	47	16	2	2	NUM
fumecheng-5164	47	17	4	4	NUM
fumecheng-5164	47	18	i	i	NOUN
fumecheng-5164	47	19	ii	ii	NOUN
fumecheng-5164	47	20	1/2	1/2	NUM
fumecheng-5164	47	21	t	t	PROPN
fumecheng-5164	47	22			ADP
fumecheng-5164	47	23			PROPN
fumecheng-5164	47	24			ADP
fumecheng-5164	47	25			PROPN
fumecheng-5164	47	26			ADP
fumecheng-5164	47	27			PROPN
fumecheng-5164	47	28	,	,	PUNCT
fumecheng-5164	47	29	(	(	PUNCT
fumecheng-5164	47	30	5	5	X
fumecheng-5164	47	31	)	)	PUNCT
fumecheng-5164	47	32	where	where	SCONJ
fumecheng-5164	47	33	ε	ε	PROPN
fumecheng-5164	47	34	is	be	AUX
fumecheng-5164	47	35	a	a	DET
fumecheng-5164	47	36	small	small	ADJ
fumecheng-5164	47	37	fluctuation	fluctuation	NOUN
fumecheng-5164	47	38	parameter	parameter	NOUN
fumecheng-5164	47	39	.	.	PUNCT
fumecheng-5164	48	1	after	after	ADP
fumecheng-5164	48	2	applying	apply	VERB
fumecheng-5164	48	3	(	(	PUNCT
fumecheng-5164	48	4	5	5	NUM
fumecheng-5164	48	5	)	)	PUNCT
fumecheng-5164	48	6	in	in	ADP
fumecheng-5164	48	7	(	(	PUNCT
fumecheng-5164	48	8	1	1	X
fumecheng-5164	48	9	)	)	PUNCT
fumecheng-5164	48	10	the	the	DET
fumecheng-5164	48	11	following	follow	VERB
fumecheng-5164	48	12	nondimensional	nondimensional	ADJ
fumecheng-5164	48	13	form	form	NOUN
fumecheng-5164	48	14	of	of	ADP
fumecheng-5164	48	15	eq	eq	PROPN
fumecheng-5164	48	16	.	.	PUNCT
fumecheng-5164	48	17	(	(	PUNCT
fumecheng-5164	48	18	1	1	X
fumecheng-5164	48	19	)	)	PUNCT
fumecheng-5164	48	20	is	be	AUX
fumecheng-5164	48	21	obtained	obtain	VERB
fumecheng-5164	48	22	0)())((2	0)())((2	NOUN
fumecheng-5164	48	23	4	4	NUM
fumecheng-5164	48	24	1	1	NUM
fumecheng-5164	48	25	4	4	NUM
fumecheng-5164	48	26	212	212	NUM
fumecheng-5164	48	27	1	1	NUM
fumecheng-5164	48	28	2	2	NUM
fumecheng-5164	48	29	101	101	NUM
fumecheng-5164	48	30	2/11	2/11	NUM
fumecheng-5164	48	31	2	2	NUM
fumecheng-5164	48	32	1	1	NUM
fumecheng-5164	48	33	2	2	NUM
fumecheng-5164	48	34			NOUN
fumecheng-5164	48	35			ADJ
fumecheng-5164	48	36			ADJ
fumecheng-5164	48	37			X
fumecheng-5164	48	38			PROPN
fumecheng-5164	48	39			X
fumecheng-5164	48	40			NOUN
fumecheng-5164	48	41			VERB
fumecheng-5164	48	42			PROPN
fumecheng-5164	48	43			PROPN
fumecheng-5164	48	44			ADJ
fumecheng-5164	48	45			ADJ
fumecheng-5164	48	46			ADJ
fumecheng-5164	48	47			ADJ
fumecheng-5164	48	48			PROPN
fumecheng-5164	48	49			ADJ
fumecheng-5164	48	50			ADJ
fumecheng-5164	48	51			PROPN
fumecheng-5164	48	52	x	x	SYM
fumecheng-5164	48	53	w	w	NOUN
fumecheng-5164	48	54	wwk	wwk	PROPN
fumecheng-5164	48	55	x	x	PROPN
fumecheng-5164	48	56	w	w	PROPN
fumecheng-5164	48	57	tff	tff	PROPN
fumecheng-5164	48	58	t	t	PROPN
fumecheng-5164	48	59	w	w	PROPN
fumecheng-5164	48	60	t	t	PROPN
fumecheng-5164	48	61	w	w	PROPN
fumecheng-5164	48	62	l	l	PROPN
fumecheng-5164	48	63	,	,	PUNCT
fumecheng-5164	48	64	0)())((2	0)())((2	NOUN
fumecheng-5164	48	65	4	4	NUM
fumecheng-5164	48	66	2	2	NUM
fumecheng-5164	48	67	4	4	NUM
fumecheng-5164	48	68	122	122	NUM
fumecheng-5164	48	69	2	2	NUM
fumecheng-5164	48	70	2	2	NUM
fumecheng-5164	48	71	202	202	NUM
fumecheng-5164	48	72	2/12	2/12	NUM
fumecheng-5164	48	73	2	2	NUM
fumecheng-5164	48	74	2	2	NUM
fumecheng-5164	48	75	2	2	NUM
fumecheng-5164	48	76			NOUN
fumecheng-5164	48	77			ADJ
fumecheng-5164	48	78			ADJ
fumecheng-5164	48	79			X
fumecheng-5164	48	80			PROPN
fumecheng-5164	48	81			X
fumecheng-5164	48	82			NOUN
fumecheng-5164	48	83			VERB
fumecheng-5164	48	84			PROPN
fumecheng-5164	48	85			PROPN
fumecheng-5164	48	86			ADJ
fumecheng-5164	48	87			ADJ
fumecheng-5164	48	88			ADJ
fumecheng-5164	48	89			ADJ
fumecheng-5164	48	90			PROPN
fumecheng-5164	48	91			ADJ
fumecheng-5164	48	92			ADJ
fumecheng-5164	48	93			PROPN
fumecheng-5164	48	94	x	x	SYM
fumecheng-5164	48	95	w	w	NOUN
fumecheng-5164	48	96	wwk	wwk	PROPN
fumecheng-5164	48	97	x	x	PROPN
fumecheng-5164	48	98	w	w	PROPN
fumecheng-5164	48	99	tff	tff	PROPN
fumecheng-5164	48	100	t	t	PROPN
fumecheng-5164	48	101	w	w	PROPN
fumecheng-5164	48	102	t	t	PROPN
fumecheng-5164	48	103	w	w	PROPN
fumecheng-5164	48	104	l	l	X
fumecheng-5164	48	105	,	,	PUNCT
fumecheng-5164	48	106	(	(	PUNCT
fumecheng-5164	48	107	6	6	NUM
fumecheng-5164	48	108	)	)	PUNCT
fumecheng-5164	48	109	and	and	CCONJ
fumecheng-5164	48	110	,	,	PUNCT
fumecheng-5164	48	111	,	,	PUNCT
fumecheng-5164	48	112	1	1	NUM
fumecheng-5164	48	113	2	2	NUM
fumecheng-5164	48	114	2	2	NUM
fumecheng-5164	48	115	2	2	NUM
fumecheng-5164	48	116	l	l	NOUN
fumecheng-5164	48	117	ea	ea	NOUN
fumecheng-5164	49	1	x	x	SYM
fumecheng-5164	50	1			NUM
fumecheng-5164	50	2			ADJ
fumecheng-5164	50	3			ADJ
fumecheng-5164	50	4			ADJ
fumecheng-5164	50	5	l	l	X
fumecheng-5164	50	6	(	(	PUNCT
fumecheng-5164	50	7	7	7	NUM
fumecheng-5164	50	8	)	)	PUNCT
fumecheng-5164	50	9	where	where	SCONJ
fumecheng-5164	50	10	a	a	PRON
fumecheng-5164	50	11	and	and	CCONJ
fumecheng-5164	50	12	e	e	NOUN
fumecheng-5164	50	13	are	be	AUX
fumecheng-5164	50	14	the	the	DET
fumecheng-5164	50	15	characteristic	characteristic	ADJ
fumecheng-5164	50	16	length	length	NOUN
fumecheng-5164	50	17	scale	scale	NOUN
fumecheng-5164	50	18	and	and	CCONJ
fumecheng-5164	50	19	the	the	DET
fumecheng-5164	50	20	nondimensional	nondimensional	ADJ
fumecheng-5164	50	21	constant	constant	ADJ
fumecheng-5164	50	22	,	,	PUNCT
fumecheng-5164	50	23	respectively	respectively	ADV
fumecheng-5164	50	24	.	.	PUNCT
fumecheng-5164	51	1	222	222	NUM
fumecheng-5164	51	2	i.	i.	NOUN
fumecheng-5164	51	3	pavlović	pavlović	NOUN
fumecheng-5164	51	4	,	,	PUNCT
fumecheng-5164	51	5	r.	r.	PROPN
fumecheng-5164	51	6	pavlović	pavlović	PROPN
fumecheng-5164	51	7	,	,	PUNCT
fumecheng-5164	51	8	g.	g.	PROPN
fumecheng-5164	51	9	janevski	janevski	PROPN
fumecheng-5164	51	10	,	,	PUNCT
fumecheng-5164	51	11	n.	n.	PROPN
fumecheng-5164	51	12	despenić	despenić	PROPN
fumecheng-5164	51	13	,	,	PUNCT
fumecheng-5164	51	14	v.	v.	ADP
fumecheng-5164	51	15	pajković	pajković	NOUN
fumecheng-5164	51	16	3	3	NUM
fumecheng-5164	51	17	.	.	X
fumecheng-5164	51	18	discretization	discretization	NOUN
fumecheng-5164	51	19	of	of	ADP
fumecheng-5164	51	20	the	the	DET
fumecheng-5164	51	21	equations	equation	NOUN
fumecheng-5164	51	22	of	of	ADP
fumecheng-5164	51	23	motion	motion	NOUN
fumecheng-5164	51	24	now	now	ADV
fumecheng-5164	51	25	,	,	PUNCT
fumecheng-5164	51	26	by	by	ADP
fumecheng-5164	51	27	using	use	VERB
fumecheng-5164	51	28	the	the	DET
fumecheng-5164	51	29	galerkin	galerkin	ADJ
fumecheng-5164	51	30	method	method	NOUN
fumecheng-5164	51	31	system	system	NOUN
fumecheng-5164	51	32	,	,	PUNCT
fumecheng-5164	51	33	(	(	PUNCT
fumecheng-5164	51	34	6	6	NUM
fumecheng-5164	51	35	)	)	PUNCT
fumecheng-5164	51	36	is	be	AUX
fumecheng-5164	51	37	reduced	reduce	VERB
fumecheng-5164	51	38	to	to	ADP
fumecheng-5164	51	39	two	two	NUM
fumecheng-5164	51	40	ordinary	ordinary	ADJ
fumecheng-5164	51	41	differential	differential	ADJ
fumecheng-5164	51	42	equations	equation	NOUN
fumecheng-5164	51	43	representing	represent	VERB
fumecheng-5164	51	44	only	only	ADV
fumecheng-5164	51	45	the	the	DET
fumecheng-5164	51	46	time	time	NOUN
fumecheng-5164	51	47	varying	vary	VERB
fumecheng-5164	51	48	part	part	NOUN
fumecheng-5164	51	49	of	of	ADP
fumecheng-5164	51	50	the	the	DET
fumecheng-5164	51	51	solution	solution	NOUN
fumecheng-5164	51	52	.	.	PUNCT
fumecheng-5164	52	1	the	the	DET
fumecheng-5164	52	2	first	first	ADJ
fumecheng-5164	52	3	mode	mode	NOUN
fumecheng-5164	52	4	of	of	ADP
fumecheng-5164	52	5	the	the	DET
fumecheng-5164	52	6	transverse	transverse	NOUN
fumecheng-5164	52	7	motion	motion	NOUN
fumecheng-5164	52	8	of	of	ADP
fumecheng-5164	52	9	the	the	DET
fumecheng-5164	52	10	beams	beam	NOUN
fumecheng-5164	52	11	can	can	AUX
fumecheng-5164	52	12	be	be	AUX
fumecheng-5164	52	13	described	describe	VERB
fumecheng-5164	52	14	by	by	ADP
fumecheng-5164	52	15	21sin	21sin	NOUN
fumecheng-5164	52	16	)	)	PUNCT
fumecheng-5164	52	17	(	(	PUNCT
fumecheng-5164	52	18	)	)	PUNCT
fumecheng-5164	52	19	(	(	PUNCT
fumecheng-5164	52	20	,	,	PUNCT
fumecheng-5164	52	21	ix	ix	ADV
fumecheng-5164	52	22	,	,	PUNCT
fumecheng-5164	52	23	tqtx	tqtx	NOUN
fumecheng-5164	52	24	,	,	PUNCT
fumecheng-5164	52	25	w	w	PROPN
fumecheng-5164	52	26	ii	ii	PROPN
fumecheng-5164	52	27			NUM
fumecheng-5164	52	28			PROPN
fumecheng-5164	52	29	.	.	PUNCT
fumecheng-5164	53	1	(	(	PUNCT
fumecheng-5164	53	2	8)	8)	NUM
fumecheng-5164	53	3	by	by	ADP
fumecheng-5164	53	4	substituting	substitute	VERB
fumecheng-5164	53	5	(	(	PUNCT
fumecheng-5164	53	6	8)	8)	NUM
fumecheng-5164	53	7	in	in	ADP
fumecheng-5164	53	8	(	(	PUNCT
fumecheng-5164	53	9	6	6	NUM
fumecheng-5164	53	10	)	)	PUNCT
fumecheng-5164	53	11	,	,	PUNCT
fumecheng-5164	53	12	the	the	DET
fumecheng-5164	53	13	following	follow	VERB
fumecheng-5164	53	14	discretizated	discretizate	VERB
fumecheng-5164	53	15	form	form	NOUN
fumecheng-5164	53	16	of	of	ADP
fumecheng-5164	53	17	equations	equation	NOUN
fumecheng-5164	53	18	(	(	PUNCT
fumecheng-5164	53	19	6	6	NUM
fumecheng-5164	53	20	)	)	PUNCT
fumecheng-5164	53	21	is	be	AUX
fumecheng-5164	53	22	obtained	obtain	VERB
fumecheng-5164	53	23	0)()(2	0)()(2	PROPN
fumecheng-5164	53	24	1	1	NUM
fumecheng-5164	53	25	2	2	NUM
fumecheng-5164	53	26	1	1	NUM
fumecheng-5164	53	27	2/1	2/1	NUM
fumecheng-5164	53	28	1	1	NUM
fumecheng-5164	53	29	2	2	NUM
fumecheng-5164	53	30	211	211	NUM
fumecheng-5164	53	31			NOUN
fumecheng-5164	53	32	qtfqqqkqq1	qtfqqqkqq1	PROPN
fumecheng-5164	53	33			PROPN
fumecheng-5164	53	34	,	,	PUNCT
fumecheng-5164	53	35	0)()(2	0)()(2	VERB
fumecheng-5164	53	36	2	2	NUM
fumecheng-5164	53	37	2	2	NUM
fumecheng-5164	53	38	2	2	NUM
fumecheng-5164	53	39	2/1	2/1	NUM
fumecheng-5164	53	40	2	2	NUM
fumecheng-5164	53	41	2	2	NUM
fumecheng-5164	53	42	122	122	NUM
fumecheng-5164	53	43			NOUN
fumecheng-5164	53	44	qtfqqqkqq2	qtfqqqkqq2	PROPN
fumecheng-5164	53	45			PROPN
fumecheng-5164	53	46	,	,	PUNCT
fumecheng-5164	53	47	(	(	PUNCT
fumecheng-5164	53	48	9	9	X
fumecheng-5164	53	49	)	)	PUNCT
fumecheng-5164	53	50	where	where	SCONJ
fumecheng-5164	53	51	εβ	εβ	PROPN
fumecheng-5164	53	52	represents	represent	VERB
fumecheng-5164	53	53	the	the	DET
fumecheng-5164	53	54	small	small	ADJ
fumecheng-5164	53	55	viscous	viscous	ADJ
fumecheng-5164	53	56	damping	damp	VERB
fumecheng-5164	53	57	coefficient	coefficient	NOUN
fumecheng-5164	53	58	,	,	PUNCT
fumecheng-5164	53	59	ε	ε	PROPN
fumecheng-5164	53	60	1/2	1/2	NUM
fumecheng-5164	53	61	fi(t	fi(t	NOUN
fumecheng-5164	53	62	)	)	PUNCT
fumecheng-5164	53	63	is	be	AUX
fumecheng-5164	53	64	the	the	DET
fumecheng-5164	53	65	white	white	ADJ
fumecheng-5164	53	66	-	-	PUNCT
fumecheng-5164	53	67	noise	noise	NOUN
fumecheng-5164	53	68	process	process	NOUN
fumecheng-5164	53	69	with	with	ADP
fumecheng-5164	53	70	small	small	ADJ
fumecheng-5164	53	71	intensity	intensity	NOUN
fumecheng-5164	53	72	and	and	CCONJ
fumecheng-5164	53	73	22	22	NUM
fumecheng-5164	53	74	4	4	NUM
fumecheng-5164	53	75	2	2	NUM
fumecheng-5164	53	76	1	1	NUM
fumecheng-5164	53	77			NOUN
fumecheng-5164	53	78			NOUN
fumecheng-5164	53	79			NUM
fumecheng-5164	53	80			X
fumecheng-5164	53	81			PROPN
fumecheng-5164	53	82	.	.	PUNCT
fumecheng-5164	54	1	(	(	PUNCT
fumecheng-5164	54	2	10	10	NUM
fumecheng-5164	54	3	)	)	PUNCT
fumecheng-5164	54	4	4	4	NUM
fumecheng-5164	54	5	.	.	PUNCT
fumecheng-5164	55	1	lyapunov	lyapunov	PROPN
fumecheng-5164	55	2	exponents	exponent	NOUN
fumecheng-5164	55	3	and	and	CCONJ
fumecheng-5164	55	4	stability	stability	NOUN
fumecheng-5164	55	5	conditions	condition	NOUN
fumecheng-5164	55	6	basic	basic	ADJ
fumecheng-5164	55	7	definitions	definition	NOUN
fumecheng-5164	55	8	of	of	ADP
fumecheng-5164	55	9	stochastic	stochastic	ADJ
fumecheng-5164	55	10	stability	stability	NOUN
fumecheng-5164	55	11	are	be	AUX
fumecheng-5164	55	12	the	the	DET
fumecheng-5164	55	13	sample	sample	NOUN
fumecheng-5164	55	14	or	or	CCONJ
fumecheng-5164	55	15	almost	almost	ADV
fumecheng-5164	55	16	-	-	PUNCT
fumecheng-5164	55	17	sure	sure	ADJ
fumecheng-5164	55	18	stability	stability	NOUN
fumecheng-5164	55	19	and	and	CCONJ
fumecheng-5164	55	20	the	the	DET
fumecheng-5164	55	21	stability	stability	NOUN
fumecheng-5164	55	22	in	in	ADP
fumecheng-5164	55	23	the	the	DET
fumecheng-5164	55	24	mean	mean	NOUN
fumecheng-5164	55	25	of	of	ADP
fumecheng-5164	55	26	the	the	DET
fumecheng-5164	55	27	p	p	NOUN
fumecheng-5164	55	28	-	-	PUNCT
fumecheng-5164	55	29	th	th	VERB
fumecheng-5164	55	30	order	order	NOUN
fumecheng-5164	55	31	,	,	PUNCT
fumecheng-5164	55	32	which	which	PRON
fumecheng-5164	55	33	is	be	AUX
fumecheng-5164	55	34	based	base	VERB
fumecheng-5164	55	35	on	on	ADP
fumecheng-5164	55	36	the	the	DET
fumecheng-5164	55	37	concept	concept	NOUN
fumecheng-5164	55	38	of	of	ADP
fumecheng-5164	55	39	the	the	DET
fumecheng-5164	55	40	lyapunov	lyapunov	ADJ
fumecheng-5164	55	41	exponent	exponent	NOUN
fumecheng-5164	55	42	given	give	VERB
fumecheng-5164	55	43	in	in	ADP
fumecheng-5164	55	44	arnold	arnold	PROPN
fumecheng-5164	55	45	et	et	PROPN
fumecheng-5164	55	46	al	al	PROPN
fumecheng-5164	55	47	.	.	PUNCT
fumecheng-5164	56	1	[	[	X
fumecheng-5164	56	2	16	16	NUM
fumecheng-5164	56	3	]	]	PUNCT
fumecheng-5164	56	4	.	.	PUNCT
fumecheng-5164	57	1	the	the	DET
fumecheng-5164	57	2	almost	almost	ADV
fumecheng-5164	57	3	-	-	PUNCT
fumecheng-5164	57	4	sure	sure	ADJ
fumecheng-5164	57	5	stability	stability	NOUN
fumecheng-5164	57	6	is	be	AUX
fumecheng-5164	57	7	described	describe	VERB
fumecheng-5164	57	8	by	by	ADP
fumecheng-5164	57	9	the	the	DET
fumecheng-5164	57	10	maximal	maximal	ADJ
fumecheng-5164	57	11	lyapunov	lyapunov	ADJ
fumecheng-5164	57	12	exponent	exponent	NOUN
fumecheng-5164	57	13	defined	define	VERB
fumecheng-5164	57	14	as	as	ADP
fumecheng-5164	57	15	)	)	PUNCT
fumecheng-5164	57	16	;	;	PUNCT
fumecheng-5164	57	17	(	(	PUNCT
fumecheng-5164	57	18	ln	ln	NOUN
fumecheng-5164	57	19	1	1	NUM
fumecheng-5164	57	20	lim	lim	PROPN
fumecheng-5164	57	21	0qtq	0qtq	ADP
fumecheng-5164	57	22	tt	tt	PROPN
fumecheng-5164	57	23	q	q	PROPN
fumecheng-5164	57	24			PROPN
fumecheng-5164	57	25			NOUN
fumecheng-5164	57	26	,	,	PUNCT
fumecheng-5164	57	27	(	(	PUNCT
fumecheng-5164	57	28	11	11	NUM
fumecheng-5164	57	29	)	)	PUNCT
fumecheng-5164	57	30	where	where	SCONJ
fumecheng-5164	57	31	q(t;q0	q(t;q0	PROPN
fumecheng-5164	57	32	)	)	PUNCT
fumecheng-5164	57	33	is	be	AUX
fumecheng-5164	57	34	the	the	DET
fumecheng-5164	57	35	solution	solution	NOUN
fumecheng-5164	57	36	process	process	NOUN
fumecheng-5164	57	37	of	of	ADP
fumecheng-5164	57	38	a	a	DET
fumecheng-5164	57	39	linear	linear	ADJ
fumecheng-5164	57	40	dynamic	dynamic	ADJ
fumecheng-5164	57	41	system	system	NOUN
fumecheng-5164	57	42	.	.	PUNCT
fumecheng-5164	58	1	it	it	PRON
fumecheng-5164	58	2	gives	give	VERB
fumecheng-5164	58	3	the	the	DET
fumecheng-5164	58	4	exponential	exponential	ADJ
fumecheng-5164	58	5	growth	growth	NOUN
fumecheng-5164	58	6	rate	rate	NOUN
fumecheng-5164	58	7	of	of	ADP
fumecheng-5164	58	8	the	the	DET
fumecheng-5164	58	9	solution	solution	NOUN
fumecheng-5164	58	10	.	.	PUNCT
fumecheng-5164	59	1	if	if	SCONJ
fumecheng-5164	59	2	λq	λq	ADV
fumecheng-5164	59	3	<	<	X
fumecheng-5164	59	4	0	0	NUM
fumecheng-5164	59	5	,	,	PUNCT
fumecheng-5164	59	6	then	then	ADV
fumecheng-5164	59	7	,	,	PUNCT
fumecheng-5164	59	8	by	by	ADP
fumecheng-5164	59	9	definition	definition	NOUN
fumecheng-5164	59	10	,	,	PUNCT
fumecheng-5164	59	11	0	0	NUM
fumecheng-5164	59	12	)	)	PUNCT
fumecheng-5164	59	13	;	;	PUNCT
fumecheng-5164	59	14	(	(	PUNCT
fumecheng-5164	59	15	0	0	NUM
fumecheng-5164	59	16			PROPN
fumecheng-5164	59	17	p	p	X
fumecheng-5164	59	18	qtq	qtq	NOUN
fumecheng-5164	59	19	as	as	ADP
fumecheng-5164	59	20	t	t	PROPN
fumecheng-5164	59	21	,	,	PUNCT
fumecheng-5164	59	22	the	the	DET
fumecheng-5164	59	23	solution	solution	NOUN
fumecheng-5164	59	24	is	be	AUX
fumecheng-5164	59	25	almost	almost	ADV
fumecheng-5164	59	26	-	-	PUNCT
fumecheng-5164	59	27	surely	surely	ADV
fumecheng-5164	59	28	stable	stable	ADJ
fumecheng-5164	59	29	,	,	PUNCT
fumecheng-5164	59	30	and	and	CCONJ
fumecheng-5164	59	31	λq	λq	INTJ
fumecheng-5164	59	32	>	>	SYM
fumecheng-5164	59	33	0	0	NUM
fumecheng-5164	59	34	implies	imply	VERB
fumecheng-5164	59	35	the	the	DET
fumecheng-5164	59	36	instability	instability	NOUN
fumecheng-5164	59	37	of	of	ADP
fumecheng-5164	59	38	the	the	DET
fumecheng-5164	59	39	solution	solution	NOUN
fumecheng-5164	59	40	in	in	ADP
fumecheng-5164	59	41	the	the	DET
fumecheng-5164	59	42	almost	almost	ADV
fumecheng-5164	59	43	-	-	PUNCT
fumecheng-5164	59	44	sure	sure	ADJ
fumecheng-5164	59	45	sense	sense	NOUN
fumecheng-5164	59	46	.	.	PUNCT
fumecheng-5164	60	1	the	the	DET
fumecheng-5164	60	2	exponential	exponential	ADJ
fumecheng-5164	60	3	growth	growth	NOUN
fumecheng-5164	60	4	rate	rate	NOUN
fumecheng-5164	60	5	,	,	PUNCT
fumecheng-5164	60	6	p	p	NOUN
fumecheng-5164	60	7	qtqe	qtqe	NOUN
fumecheng-5164	60	8	)	)	PUNCT
fumecheng-5164	60	9	;	;	PUNCT
fumecheng-5164	60	10	(	(	PUNCT
fumecheng-5164	60	11	0	0	NUM
fumecheng-5164	60	12	,	,	PUNCT
fumecheng-5164	60	13	is	be	AUX
fumecheng-5164	60	14	provided	provide	VERB
fumecheng-5164	60	15	by	by	ADP
fumecheng-5164	60	16	the	the	DET
fumecheng-5164	60	17	moment	moment	NOUN
fumecheng-5164	60	18	lyapunov	lyapunov	PROPN
fumecheng-5164	60	19	exponent	exponent	NOUN
fumecheng-5164	60	20	defined	define	VERB
fumecheng-5164	60	21	as	as	ADP
fumecheng-5164	60	22	p	p	PROPN
fumecheng-5164	60	23	t	t	PROPN
fumecheng-5164	60	24	q	q	PROPN
fumecheng-5164	60	25	qtqe	qtqe	PROPN
fumecheng-5164	60	26	t	t	PROPN
fumecheng-5164	60	27	qpλ	qpλ	NOUN
fumecheng-5164	60	28	)	)	PUNCT
fumecheng-5164	60	29	;	;	PUNCT
fumecheng-5164	60	30	(	(	PUNCT
fumecheng-5164	60	31	ln	ln	NOUN
fumecheng-5164	60	32	1	1	NUM
fumecheng-5164	60	33	lim	lim	NOUN
fumecheng-5164	60	34	)	)	PUNCT
fumecheng-5164	60	35	,	,	PUNCT
fumecheng-5164	60	36	(	(	PUNCT
fumecheng-5164	60	37	00	00	NUM
fumecheng-5164	60	38			NOUN
fumecheng-5164	60	39			NUM
fumecheng-5164	60	40	(	(	PUNCT
fumecheng-5164	60	41	12	12	NUM
fumecheng-5164	60	42	)	)	PUNCT
fumecheng-5164	60	43	where	where	SCONJ
fumecheng-5164	60	44	e	e	PROPN
fumecheng-5164	60	45	denotes	denote	VERB
fumecheng-5164	60	46	the	the	DET
fumecheng-5164	60	47	expectation	expectation	NOUN
fumecheng-5164	60	48	.	.	PUNCT
fumecheng-5164	61	1	if	if	SCONJ
fumecheng-5164	61	2	0	0	NUM
fumecheng-5164	61	3	)	)	PUNCT
fumecheng-5164	61	4	,	,	PUNCT
fumecheng-5164	61	5	(	(	PUNCT
fumecheng-5164	61	6	0	0	NUM
fumecheng-5164	61	7	qpλq	qpλq	INTJ
fumecheng-5164	61	8	,	,	PUNCT
fumecheng-5164	61	9	then	then	ADV
fumecheng-5164	61	10	by	by	ADP
fumecheng-5164	61	11	definition	definition	NOUN
fumecheng-5164	61	12	,	,	PUNCT
fumecheng-5164	61	13			PROPN
fumecheng-5164	61	14	p	p	PROPN
fumecheng-5164	61	15	qtqe	qtqe	PROPN
fumecheng-5164	61	16	)	)	PUNCT
fumecheng-5164	61	17	;	;	PUNCT
fumecheng-5164	61	18	(	(	PUNCT
fumecheng-5164	61	19	0	0	X
fumecheng-5164	61	20	as	as	ADP
fumecheng-5164	61	21	t	t	PROPN
fumecheng-5164	61	22	,	,	PUNCT
fumecheng-5164	61	23	and	and	CCONJ
fumecheng-5164	61	24	those	those	DET
fumecheng-5164	61	25	conditions	condition	NOUN
fumecheng-5164	61	26	are	be	AUX
fumecheng-5164	61	27	referred	refer	VERB
fumecheng-5164	61	28	to	to	ADP
fumecheng-5164	61	29	as	as	ADP
fumecheng-5164	61	30	the	the	DET
fumecheng-5164	61	31	p	p	NOUN
fumecheng-5164	61	32	-	-	PUNCT
fumecheng-5164	61	33	th	th	VERB
fumecheng-5164	61	34	moment	moment	NOUN
fumecheng-5164	61	35	stability	stability	NOUN
fumecheng-5164	61	36	.	.	PUNCT
fumecheng-5164	62	1	the	the	DET
fumecheng-5164	62	2	moment	moment	NOUN
fumecheng-5164	62	3	lyapunov	lyapunov	PROPN
fumecheng-5164	62	4	exponent	exponent	NOUN
fumecheng-5164	62	5	provides	provide	VERB
fumecheng-5164	62	6	us	we	PRON
fumecheng-5164	62	7	with	with	ADP
fumecheng-5164	62	8	finer	fine	ADJ
fumecheng-5164	62	9	stability	stability	NOUN
fumecheng-5164	62	10	properties	property	NOUN
fumecheng-5164	62	11	of	of	ADP
fumecheng-5164	62	12	the	the	DET
fumecheng-5164	62	13	random	random	ADJ
fumecheng-5164	62	14	dynamic	dynamic	ADJ
fumecheng-5164	62	15	system	system	NOUN
fumecheng-5164	62	16	.	.	PUNCT
fumecheng-5164	63	1	to	to	PART
fumecheng-5164	63	2	have	have	VERB
fumecheng-5164	63	3	a	a	DET
fumecheng-5164	63	4	complete	complete	ADJ
fumecheng-5164	63	5	picture	picture	NOUN
fumecheng-5164	63	6	of	of	ADP
fumecheng-5164	63	7	the	the	DET
fumecheng-5164	63	8	dynamic	dynamic	ADJ
fumecheng-5164	63	9	stability	stability	NOUN
fumecheng-5164	63	10	of	of	ADP
fumecheng-5164	63	11	a	a	DET
fumecheng-5164	63	12	stochastic	stochastic	ADJ
fumecheng-5164	63	13	system	system	NOUN
fumecheng-5164	63	14	it	it	PRON
fumecheng-5164	63	15	is	be	AUX
fumecheng-5164	63	16	important	important	ADJ
fumecheng-5164	63	17	to	to	PART
fumecheng-5164	63	18	study	study	VERB
fumecheng-5164	63	19	both	both	CCONJ
fumecheng-5164	63	20	the	the	DET
fumecheng-5164	63	21	sample	sample	NOUN
fumecheng-5164	63	22	and	and	CCONJ
fumecheng-5164	63	23	moment	moment	VERB
fumecheng-5164	63	24	stability	stability	NOUN
fumecheng-5164	63	25	.	.	PUNCT
fumecheng-5164	64	1	dynamic	dynamic	ADJ
fumecheng-5164	64	2	behavior	behavior	NOUN
fumecheng-5164	64	3	of	of	ADP
fumecheng-5164	64	4	two	two	NUM
fumecheng-5164	64	5	elastically	elastically	ADV
fumecheng-5164	64	6	connected	connect	VERB
fumecheng-5164	64	7	nanobeams	nanobeam	NOUN
fumecheng-5164	64	8	under	under	ADP
fumecheng-5164	64	9	a	a	DET
fumecheng-5164	64	10	white	white	ADJ
fumecheng-5164	64	11	noise	noise	NOUN
fumecheng-5164	64	12	process	process	NOUN
fumecheng-5164	64	13	223	223	NUM
fumecheng-5164	64	14	following	follow	VERB
fumecheng-5164	64	15	the	the	DET
fumecheng-5164	64	16	results	result	NOUN
fumecheng-5164	64	17	from	from	ADP
fumecheng-5164	64	18	the	the	DET
fumecheng-5164	64	19	authors	author	NOUN
fumecheng-5164	64	20	’	’	PART
fumecheng-5164	64	21	previous	previous	ADJ
fumecheng-5164	64	22	works	work	NOUN
fumecheng-5164	64	23	[	[	PUNCT
fumecheng-5164	64	24	9	9	NUM
fumecheng-5164	64	25	-	-	SYM
fumecheng-5164	64	26	11	11	NUM
fumecheng-5164	64	27	]	]	PUNCT
fumecheng-5164	64	28	,	,	PUNCT
fumecheng-5164	64	29	where	where	SCONJ
fumecheng-5164	64	30	the	the	DET
fumecheng-5164	64	31	regular	regular	ADJ
fumecheng-5164	64	32	perturbation	perturbation	NOUN
fumecheng-5164	64	33	method	method	NOUN
fumecheng-5164	64	34	is	be	AUX
fumecheng-5164	64	35	performed	perform	VERB
fumecheng-5164	64	36	,	,	PUNCT
fumecheng-5164	64	37	the	the	DET
fumecheng-5164	64	38	analytical	analytical	ADJ
fumecheng-5164	64	39	expression	expression	NOUN
fumecheng-5164	64	40	for	for	ADP
fumecheng-5164	64	41	the	the	DET
fumecheng-5164	64	42	moment	moment	NOUN
fumecheng-5164	64	43	lyapunov	lyapunov	PROPN
fumecheng-5164	64	44	exponent	exponent	NOUN
fumecheng-5164	64	45	is	be	AUX
fumecheng-5164	64	46			PROPN
fumecheng-5164	64	47			PROPN
fumecheng-5164	64	48			X
fumecheng-5164	64	49			NOUN
fumecheng-5164	64	50			VERB
fumecheng-5164	64	51			PROPN
fumecheng-5164	64	52			NOUN
fumecheng-5164	64	53			VERB
fumecheng-5164	64	54			PROPN
fumecheng-5164	64	55			PROPN
fumecheng-5164	64	56			NUM
fumecheng-5164	64	57			PROPN
fumecheng-5164	64	58	p	p	NOUN
fumecheng-5164	64	59	pp	pp	ADJ
fumecheng-5164	64	60	pλ	pλ	PROPN
fumecheng-5164	64	61	24	24	NUM
fumecheng-5164	64	62	264	264	NUM
fumecheng-5164	64	63	)	)	PUNCT
fumecheng-5164	64	64	103	103	NUM
fumecheng-5164	64	65	(	(	PUNCT
fumecheng-5164	64	66	)	)	PUNCT
fumecheng-5164	64	67	(	(	PUNCT
fumecheng-5164	64	68	,	,	PUNCT
fumecheng-5164	64	69	(	(	PUNCT
fumecheng-5164	64	70	13	13	NUM
fumecheng-5164	64	71	)	)	PUNCT
fumecheng-5164	64	72	where	where	SCONJ
fumecheng-5164	64	73	σ	σ	X
fumecheng-5164	64	74	2	2	PROPN
fumecheng-5164	64	75	is	be	AUX
fumecheng-5164	64	76	the	the	DET
fumecheng-5164	64	77	intensity	intensity	NOUN
fumecheng-5164	64	78	of	of	ADP
fumecheng-5164	64	79	the	the	DET
fumecheng-5164	64	80	white	white	ADJ
fumecheng-5164	64	81	noise	noise	NOUN
fumecheng-5164	64	82	process	process	NOUN
fumecheng-5164	64	83	.	.	PUNCT
fumecheng-5164	65	1	using	use	VERB
fumecheng-5164	65	2	a	a	DET
fumecheng-5164	65	3	property	property	NOUN
fumecheng-5164	65	4	of	of	ADP
fumecheng-5164	65	5	the	the	DET
fumecheng-5164	65	6	moment	moment	NOUN
fumecheng-5164	65	7	lyapunov	lyapunov	PROPN
fumecheng-5164	65	8	exponent	exponent	NOUN
fumecheng-5164	65	9	,	,	PUNCT
fumecheng-5164	65	10	the	the	DET
fumecheng-5164	65	11	lyapunov	lyapunov	ADJ
fumecheng-5164	65	12	exponent	exponent	NOUN
fumecheng-5164	65	13	of	of	ADP
fumecheng-5164	65	14	the	the	DET
fumecheng-5164	65	15	double	double	ADJ
fumecheng-5164	65	16	nanobeam	nanobeam	NOUN
fumecheng-5164	65	17	system	system	NOUN
fumecheng-5164	65	18	(	(	PUNCT
fumecheng-5164	65	19	3	3	X
fumecheng-5164	65	20	)	)	PUNCT
fumecheng-5164	65	21	is	be	AUX
fumecheng-5164	65	22			PROPN
fumecheng-5164	65	23			PROPN
fumecheng-5164	65	24			X
fumecheng-5164	65	25			NOUN
fumecheng-5164	65	26			VERB
fumecheng-5164	65	27			PROPN
fumecheng-5164	65	28			NUM
fumecheng-5164	65	29			NUM
fumecheng-5164	65	30			PROPN
fumecheng-5164	65	31			NUM
fumecheng-5164	65	32			PROPN
fumecheng-5164	65	33	24	24	NUM
fumecheng-5164	65	34	2	2	NUM
fumecheng-5164	65	35	0	0	NUM
fumecheng-5164	65	36	32	32	NUM
fumecheng-5164	65	37	5	5	NUM
fumecheng-5164	65	38	)	)	PUNCT
fumecheng-5164	65	39	(	(	PUNCT
fumecheng-5164	65	40	p	p	NOUN
fumecheng-5164	65	41	dp	dp	NOUN
fumecheng-5164	65	42	pdλ	pdλ	NOUN
fumecheng-5164	65	43	.	.	PUNCT
fumecheng-5164	66	1	(	(	PUNCT
fumecheng-5164	66	2	14	14	NUM
fumecheng-5164	66	3	)	)	SYM
fumecheng-5164	66	4	5	5	NUM
fumecheng-5164	66	5	.	.	PUNCT
fumecheng-5164	66	6	numerical	numerical	ADJ
fumecheng-5164	66	7	results	result	NOUN
fumecheng-5164	66	8	this	this	DET
fumecheng-5164	66	9	paper	paper	NOUN
fumecheng-5164	66	10	investigates	investigate	VERB
fumecheng-5164	66	11	the	the	DET
fumecheng-5164	66	12	dynamic	dynamic	ADJ
fumecheng-5164	66	13	stability	stability	NOUN
fumecheng-5164	66	14	of	of	ADP
fumecheng-5164	66	15	two	two	NUM
fumecheng-5164	66	16	elastically	elastically	ADV
fumecheng-5164	66	17	connected	connect	VERB
fumecheng-5164	66	18	nanobeams	nanobeam	NOUN
fumecheng-5164	66	19	under	under	ADP
fumecheng-5164	66	20	white	white	ADJ
fumecheng-5164	66	21	noise	noise	NOUN
fumecheng-5164	66	22	excitation	excitation	NOUN
fumecheng-5164	66	23	.	.	PUNCT
fumecheng-5164	67	1	according	accord	VERB
fumecheng-5164	67	2	to	to	ADP
fumecheng-5164	67	3	the	the	DET
fumecheng-5164	67	4	lyapunov	lyapunov	ADJ
fumecheng-5164	67	5	exponent	exponent	NOUN
fumecheng-5164	67	6	and	and	CCONJ
fumecheng-5164	67	7	the	the	DET
fumecheng-5164	67	8	moment	moment	NOUN
fumecheng-5164	67	9	lyapunov	lyapunov	PROPN
fumecheng-5164	67	10	exponent	exponent	NOUN
fumecheng-5164	67	11	method	method	NOUN
fumecheng-5164	67	12	,	,	PUNCT
fumecheng-5164	67	13	bounds	bound	NOUN
fumecheng-5164	67	14	of	of	ADP
fumecheng-5164	67	15	the	the	DET
fumecheng-5164	67	16	almost	almost	ADV
fumecheng-5164	67	17	-	-	PUNCT
fumecheng-5164	67	18	sure	sure	ADJ
fumecheng-5164	67	19	stability	stability	NOUN
fumecheng-5164	67	20	of	of	ADP
fumecheng-5164	67	21	the	the	DET
fumecheng-5164	67	22	observed	observe	VERB
fumecheng-5164	67	23	nanosystem	nanosystem	NOUN
fumecheng-5164	67	24	are	be	AUX
fumecheng-5164	67	25	presented	present	VERB
fumecheng-5164	67	26	for	for	ADP
fumecheng-5164	67	27	different	different	ADJ
fumecheng-5164	67	28	system	system	NOUN
fumecheng-5164	67	29	parameters	parameter	NOUN
fumecheng-5164	67	30	.	.	PUNCT
fumecheng-5164	68	1	when	when	SCONJ
fumecheng-5164	68	2	the	the	DET
fumecheng-5164	68	3	lyapunov	lyapunov	ADJ
fumecheng-5164	68	4	exponent	exponent	NOUN
fumecheng-5164	68	5	is	be	AUX
fumecheng-5164	68	6	negative	negative	ADJ
fumecheng-5164	68	7	,	,	PUNCT
fumecheng-5164	68	8	system	system	NOUN
fumecheng-5164	68	9	(	(	PUNCT
fumecheng-5164	68	10	1	1	X
fumecheng-5164	68	11	)	)	PUNCT
fumecheng-5164	68	12	is	be	AUX
fumecheng-5164	68	13	almost	almost	ADV
fumecheng-5164	68	14	-	-	PUNCT
fumecheng-5164	68	15	surely	surely	ADV
fumecheng-5164	68	16	stable	stable	ADJ
fumecheng-5164	68	17	with	with	ADP
fumecheng-5164	68	18	probability	probability	NOUN
fumecheng-5164	68	19	1	1	NUM
fumecheng-5164	68	20	.	.	PUNCT
fumecheng-5164	69	1	firstly	firstly	ADV
fumecheng-5164	69	2	,	,	PUNCT
fumecheng-5164	69	3	according	accord	VERB
fumecheng-5164	69	4	to	to	ADP
fumecheng-5164	69	5	equation	equation	NOUN
fumecheng-5164	69	6	(	(	PUNCT
fumecheng-5164	69	7	13	13	NUM
fumecheng-5164	69	8	)	)	PUNCT
fumecheng-5164	69	9	,	,	PUNCT
fumecheng-5164	69	10	numerical	numerical	ADJ
fumecheng-5164	69	11	results	result	NOUN
fumecheng-5164	69	12	are	be	AUX
fumecheng-5164	69	13	presented	present	VERB
fumecheng-5164	69	14	in	in	ADP
fumecheng-5164	69	15	the	the	DET
fumecheng-5164	69	16	plane	plane	NOUN
fumecheng-5164	69	17	of	of	ADP
fumecheng-5164	69	18	the	the	DET
fumecheng-5164	69	19	moment	moment	NOUN
fumecheng-5164	69	20	lyapunov	lyapunov	PROPN
fumecheng-5164	69	21	exponent	exponent	NOUN
fumecheng-5164	69	22	(p	(p	PROPN
fumecheng-5164	69	23	)	)	PUNCT
fumecheng-5164	69	24	and	and	CCONJ
fumecheng-5164	69	25	the	the	DET
fumecheng-5164	69	26	norm	norm	NOUN
fumecheng-5164	69	27	degree	degree	NOUN
fumecheng-5164	69	28	p.	p.	NOUN
fumecheng-5164	69	29	figs	fig	NOUN
fumecheng-5164	69	30	.	.	PUNCT
fumecheng-5164	70	1	1	1	NUM
fumecheng-5164	70	2	and	and	CCONJ
fumecheng-5164	70	3	2	2	NUM
fumecheng-5164	70	4	present	present	VERB
fumecheng-5164	70	5	the	the	DET
fumecheng-5164	70	6	almostsure	almostsure	NOUN
fumecheng-5164	70	7	and	and	CCONJ
fumecheng-5164	70	8	p	p	NOUN
fumecheng-5164	70	9	-	-	PUNCT
fumecheng-5164	70	10	th	th	VERB
fumecheng-5164	70	11	moment	moment	NOUN
fumecheng-5164	70	12	stability	stability	NOUN
fumecheng-5164	70	13	boundaries	boundary	NOUN
fumecheng-5164	70	14	in	in	ADP
fumecheng-5164	70	15	the	the	DET
fumecheng-5164	70	16	function	function	NOUN
fumecheng-5164	70	17	of	of	ADP
fumecheng-5164	70	18	the	the	DET
fumecheng-5164	70	19	damping	damp	VERB
fumecheng-5164	70	20	coefficient	coefficient	NOUN
fumecheng-5164	70	21	β	β	NOUN
fumecheng-5164	70	22	and	and	CCONJ
fumecheng-5164	70	23	parameter	parameter	PROPN
fumecheng-5164	70	24	ε	ε	PROPN
fumecheng-5164	70	25	,	,	PUNCT
fumecheng-5164	70	26	respectively	respectively	ADV
fumecheng-5164	70	27	.	.	PUNCT
fumecheng-5164	71	1	figs	fig	NOUN
fumecheng-5164	71	2	.	.	PUNCT
fumecheng-5164	72	1	3	3	NUM
fumecheng-5164	72	2	and	and	CCONJ
fumecheng-5164	72	3	4	4	NUM
fumecheng-5164	72	4	show	show	VERB
fumecheng-5164	72	5	the	the	DET
fumecheng-5164	72	6	boundaries	boundary	NOUN
fumecheng-5164	72	7	of	of	ADP
fumecheng-5164	72	8	the	the	DET
fumecheng-5164	72	9	almost	almost	ADV
fumecheng-5164	72	10	-	-	PUNCT
fumecheng-5164	72	11	sure	sure	ADJ
fumecheng-5164	72	12	stability	stability	NOUN
fumecheng-5164	72	13	for	for	ADP
fumecheng-5164	72	14	(p)=0	(p)=0	NOUN
fumecheng-5164	72	15	.	.	PUNCT
fumecheng-5164	73	1	firstly	firstly	ADV
fumecheng-5164	73	2	,	,	PUNCT
fumecheng-5164	73	3	in	in	ADP
fumecheng-5164	73	4	fig	fig	NOUN
fumecheng-5164	73	5	.	.	PUNCT
fumecheng-5164	73	6	3	3	NUM
fumecheng-5164	73	7	in	in	ADP
fumecheng-5164	73	8	the	the	DET
fumecheng-5164	73	9	plane	plane	NOUN
fumecheng-5164	73	10	of	of	ADP
fumecheng-5164	73	11	σ	σ	PROPN
fumecheng-5164	73	12	2	2	NUM
fumecheng-5164	73	13	and	and	CCONJ
fumecheng-5164	73	14	β	β	X
fumecheng-5164	73	15	the	the	DET
fumecheng-5164	73	16	bounds	bound	NOUN
fumecheng-5164	73	17	of	of	ADP
fumecheng-5164	73	18	the	the	DET
fumecheng-5164	73	19	almost	almost	ADV
fumecheng-5164	73	20	-	-	PUNCT
fumecheng-5164	73	21	sure	sure	ADJ
fumecheng-5164	73	22	stability	stability	NOUN
fumecheng-5164	73	23	are	be	AUX
fumecheng-5164	73	24	given	give	VERB
fumecheng-5164	73	25	in	in	ADP
fumecheng-5164	73	26	the	the	DET
fumecheng-5164	73	27	function	function	NOUN
fumecheng-5164	73	28	of	of	ADP
fumecheng-5164	73	29	the	the	DET
fumecheng-5164	73	30	norm	norm	NOUN
fumecheng-5164	73	31	degree	degree	NOUN
fumecheng-5164	73	32	p.	p.	NOUN
fumecheng-5164	73	33	as	as	SCONJ
fumecheng-5164	73	34	shown	show	VERB
fumecheng-5164	73	35	in	in	ADP
fumecheng-5164	73	36	the	the	DET
fumecheng-5164	73	37	previous	previous	ADJ
fumecheng-5164	73	38	figures	figure	NOUN
fumecheng-5164	73	39	(	(	PUNCT
fumecheng-5164	73	40	fig	fig	NOUN
fumecheng-5164	73	41	.	.	NOUN
fumecheng-5164	73	42	1	1	NUM
fumecheng-5164	73	43	and	and	CCONJ
fumecheng-5164	73	44	fig	fig	NOUN
fumecheng-5164	73	45	.	.	PUNCT
fumecheng-5164	74	1	2	2	NUM
fumecheng-5164	74	2	)	)	PUNCT
fumecheng-5164	74	3	,	,	PUNCT
fumecheng-5164	74	4	this	this	DET
fumecheng-5164	74	5	parameter	parameter	NOUN
fumecheng-5164	74	6	growth	growth	NOUN
fumecheng-5164	74	7	leads	lead	VERB
fumecheng-5164	74	8	to	to	ADP
fumecheng-5164	74	9	the	the	DET
fumecheng-5164	74	10	system	system	NOUN
fumecheng-5164	74	11	instability	instability	NOUN
fumecheng-5164	74	12	.	.	PUNCT
fumecheng-5164	75	1	similarly	similarly	ADV
fumecheng-5164	75	2	,	,	PUNCT
fumecheng-5164	75	3	in	in	ADP
fumecheng-5164	75	4	fig	fig	NOUN
fumecheng-5164	75	5	.	.	PUNCT
fumecheng-5164	76	1	4	4	NUM
fumecheng-5164	76	2	the	the	DET
fumecheng-5164	76	3	reduction	reduction	NOUN
fumecheng-5164	76	4	in	in	ADP
fumecheng-5164	76	5	stability	stability	NOUN
fumecheng-5164	76	6	regions	region	NOUN
fumecheng-5164	76	7	is	be	AUX
fumecheng-5164	76	8	presented	present	VERB
fumecheng-5164	76	9	for	for	ADP
fumecheng-5164	76	10	different	different	ADJ
fumecheng-5164	76	11	values	value	NOUN
fumecheng-5164	76	12	of	of	ADP
fumecheng-5164	76	13	the	the	DET
fumecheng-5164	76	14	nanoscale	nanoscale	NOUN
fumecheng-5164	76	15	coefficient	coefficient	NOUN
fumecheng-5164	76	16	.	.	PUNCT
fumecheng-5164	77	1	this	this	DET
fumecheng-5164	77	2	figure	figure	NOUN
fumecheng-5164	77	3	is	be	AUX
fumecheng-5164	77	4	given	give	VERB
fumecheng-5164	77	5	in	in	ADP
fumecheng-5164	77	6	the	the	DET
fumecheng-5164	77	7	function	function	NOUN
fumecheng-5164	77	8	of	of	ADP
fumecheng-5164	77	9	the	the	DET
fumecheng-5164	77	10	damping	damp	VERB
fumecheng-5164	77	11	coefficient	coefficient	NOUN
fumecheng-5164	77	12	.	.	PUNCT
fumecheng-5164	78	1	as	as	SCONJ
fumecheng-5164	78	2	already	already	ADV
fumecheng-5164	78	3	presented	present	VERB
fumecheng-5164	78	4	in	in	ADP
fumecheng-5164	78	5	fig	fig	NOUN
fumecheng-5164	78	6	.	.	PUNCT
fumecheng-5164	79	1	1	1	NUM
fumecheng-5164	79	2	,	,	PUNCT
fumecheng-5164	79	3	this	this	DET
fumecheng-5164	79	4	parameter	parameter	NOUN
fumecheng-5164	79	5	growth	growth	NOUN
fumecheng-5164	79	6	significantly	significantly	ADV
fumecheng-5164	79	7	enlarges	enlarge	VERB
fumecheng-5164	79	8	stability	stability	NOUN
fumecheng-5164	79	9	regions	region	NOUN
fumecheng-5164	79	10	.	.	PUNCT
fumecheng-5164	80	1	thus	thus	ADV
fumecheng-5164	80	2	,	,	PUNCT
fumecheng-5164	80	3	a	a	DET
fumecheng-5164	80	4	negative	negative	ADJ
fumecheng-5164	80	5	influence	influence	NOUN
fumecheng-5164	80	6	on	on	ADP
fumecheng-5164	80	7	the	the	DET
fumecheng-5164	80	8	system	system	NOUN
fumecheng-5164	80	9	stability	stability	NOUN
fumecheng-5164	80	10	produced	produce	VERB
fumecheng-5164	80	11	by	by	ADP
fumecheng-5164	80	12	the	the	DET
fumecheng-5164	80	13	nonlocal	nonlocal	ADJ
fumecheng-5164	80	14	parameter	parameter	NOUN
fumecheng-5164	80	15	growth	growth	NOUN
fumecheng-5164	80	16	can	can	AUX
fumecheng-5164	80	17	be	be	AUX
fumecheng-5164	80	18	compensated	compensate	VERB
fumecheng-5164	80	19	for	for	ADP
fumecheng-5164	80	20	higher	high	ADJ
fumecheng-5164	80	21	values	value	NOUN
fumecheng-5164	80	22	of	of	ADP
fumecheng-5164	80	23	the	the	DET
fumecheng-5164	80	24	damping	damp	VERB
fumecheng-5164	80	25	coefficient	coefficient	NOUN
fumecheng-5164	80	26	.	.	PUNCT
fumecheng-5164	81	1	at	at	ADP
fumecheng-5164	81	2	the	the	DET
fumecheng-5164	81	3	end	end	NOUN
fumecheng-5164	81	4	of	of	ADP
fumecheng-5164	81	5	this	this	DET
fumecheng-5164	81	6	study	study	NOUN
fumecheng-5164	81	7	,	,	PUNCT
fumecheng-5164	81	8	numerical	numerical	ADJ
fumecheng-5164	81	9	results	result	NOUN
fumecheng-5164	81	10	of	of	ADP
fumecheng-5164	81	11	the	the	DET
fumecheng-5164	81	12	bounds	bound	NOUN
fumecheng-5164	81	13	of	of	ADP
fumecheng-5164	81	14	the	the	DET
fumecheng-5164	81	15	almost	almost	ADV
fumecheng-5164	81	16	-	-	PUNCT
fumecheng-5164	81	17	sure	sure	ADJ
fumecheng-5164	81	18	stability	stability	NOUN
fumecheng-5164	81	19	are	be	AUX
fumecheng-5164	81	20	given	give	VERB
fumecheng-5164	81	21	according	accord	VERB
fumecheng-5164	81	22	to	to	ADP
fumecheng-5164	81	23	the	the	DET
fumecheng-5164	81	24	lyapunov	lyapunov	ADJ
fumecheng-5164	81	25	exponent	exponent	NOUN
fumecheng-5164	81	26	λ	λ	PROPN
fumecheng-5164	81	27	presented	present	VERB
fumecheng-5164	81	28	by	by	ADP
fumecheng-5164	81	29	(	(	PUNCT
fumecheng-5164	81	30	14	14	NUM
fumecheng-5164	81	31	)	)	PUNCT
fumecheng-5164	81	32	.	.	PUNCT
fumecheng-5164	82	1	the	the	DET
fumecheng-5164	82	2	results	result	NOUN
fumecheng-5164	82	3	from	from	ADP
fumecheng-5164	82	4	fig	fig	NOUN
fumecheng-5164	82	5	.	.	PUNCT
fumecheng-5164	82	6	5	5	NUM
fumecheng-5164	82	7	are	be	AUX
fumecheng-5164	82	8	given	give	VERB
fumecheng-5164	82	9	in	in	ADP
fumecheng-5164	82	10	the	the	DET
fumecheng-5164	82	11	plane	plane	NOUN
fumecheng-5164	82	12	of	of	ADP
fumecheng-5164	82	13	nanoscale	nanoscale	PROPN
fumecheng-5164	82	14	coefficient	coefficient	PROPN
fumecheng-5164	82	15	μ	μ	PROPN
fumecheng-5164	82	16	and	and	CCONJ
fumecheng-5164	82	17	the	the	DET
fumecheng-5164	82	18	intensity	intensity	NOUN
fumecheng-5164	82	19	of	of	ADP
fumecheng-5164	82	20	white	white	ADJ
fumecheng-5164	82	21	noise	noise	NOUN
fumecheng-5164	82	22	process	process	NOUN
fumecheng-5164	82	23	σ	σ	PROPN
fumecheng-5164	82	24	2	2	NUM
fumecheng-5164	82	25	,	,	PUNCT
fumecheng-5164	82	26	in	in	ADP
fumecheng-5164	82	27	the	the	DET
fumecheng-5164	82	28	function	function	NOUN
fumecheng-5164	82	29	of	of	ADP
fumecheng-5164	82	30	damping	damp	VERB
fumecheng-5164	82	31	coefficient	coefficient	NOUN
fumecheng-5164	82	32	β	β	X
fumecheng-5164	82	33	.	.	PUNCT
fumecheng-5164	83	1	as	as	ADP
fumecheng-5164	83	2	in	in	ADP
fumecheng-5164	83	3	fig	fig	NOUN
fumecheng-5164	83	4	.	.	PUNCT
fumecheng-5164	84	1	4	4	NUM
fumecheng-5164	84	2	,	,	PUNCT
fumecheng-5164	84	3	where	where	SCONJ
fumecheng-5164	84	4	numerical	numerical	ADJ
fumecheng-5164	84	5	results	result	NOUN
fumecheng-5164	84	6	were	be	AUX
fumecheng-5164	84	7	obtained	obtain	VERB
fumecheng-5164	84	8	according	accord	VERB
fumecheng-5164	84	9	to	to	ADP
fumecheng-5164	84	10	the	the	DET
fumecheng-5164	84	11	moment	moment	NOUN
fumecheng-5164	84	12	lyapunov	lyapunov	PROPN
fumecheng-5164	84	13	exponent	exponent	NOUN
fumecheng-5164	84	14	,	,	PUNCT
fumecheng-5164	84	15	it	it	PRON
fumecheng-5164	84	16	can	can	AUX
fumecheng-5164	84	17	be	be	AUX
fumecheng-5164	84	18	seen	see	VERB
fumecheng-5164	84	19	that	that	SCONJ
fumecheng-5164	84	20	an	an	DET
fumecheng-5164	84	21	increase	increase	NOUN
fumecheng-5164	84	22	in	in	ADP
fumecheng-5164	84	23	the	the	DET
fumecheng-5164	84	24	nanoscale	nanoscale	NOUN
fumecheng-5164	84	25	coefficient	coefficient	NOUN
fumecheng-5164	84	26	is	be	AUX
fumecheng-5164	84	27	followed	follow	VERB
fumecheng-5164	84	28	by	by	ADP
fumecheng-5164	84	29	a	a	DET
fumecheng-5164	84	30	remarkable	remarkable	ADJ
fumecheng-5164	84	31	reduction	reduction	NOUN
fumecheng-5164	84	32	in	in	ADP
fumecheng-5164	84	33	stability	stability	NOUN
fumecheng-5164	84	34	regions	region	NOUN
fumecheng-5164	84	35	especially	especially	ADV
fumecheng-5164	84	36	for	for	ADP
fumecheng-5164	84	37	smaller	small	ADJ
fumecheng-5164	84	38	values	value	NOUN
fumecheng-5164	84	39	of	of	ADP
fumecheng-5164	84	40	the	the	DET
fumecheng-5164	84	41	damping	damp	VERB
fumecheng-5164	84	42	coefficient	coefficient	NOUN
fumecheng-5164	84	43	.	.	PUNCT
fumecheng-5164	85	1	224	224	NUM
fumecheng-5164	85	2	i.	i.	NOUN
fumecheng-5164	85	3	pavlović	pavlović	NOUN
fumecheng-5164	85	4	,	,	PUNCT
fumecheng-5164	85	5	r.	r.	PROPN
fumecheng-5164	85	6	pavlović	pavlović	PROPN
fumecheng-5164	85	7	,	,	PUNCT
fumecheng-5164	85	8	g.	g.	PROPN
fumecheng-5164	85	9	janevski	janevski	PROPN
fumecheng-5164	85	10	,	,	PUNCT
fumecheng-5164	85	11	n.	n.	PROPN
fumecheng-5164	85	12	despenić	despenić	PROPN
fumecheng-5164	85	13	,	,	PUNCT
fumecheng-5164	85	14	v.	v.	ADP
fumecheng-5164	85	15	pajković	pajković	PROPN
fumecheng-5164	85	16	fig	fig	PROPN
fumecheng-5164	85	17	.	.	PUNCT
fumecheng-5164	86	1	1	1	NUM
fumecheng-5164	86	2	stability	stability	NOUN
fumecheng-5164	86	3	regions	region	NOUN
fumecheng-5164	86	4	in	in	ADP
fumecheng-5164	86	5	the	the	DET
fumecheng-5164	86	6	function	function	NOUN
fumecheng-5164	86	7	of	of	ADP
fumecheng-5164	86	8	damping	damp	VERB
fumecheng-5164	86	9	coefficient	coefficient	NOUN
fumecheng-5164	86	10	β	β	NOUN
fumecheng-5164	86	11	fig	fig	NOUN
fumecheng-5164	86	12	.	.	PUNCT
fumecheng-5164	87	1	2	2	NUM
fumecheng-5164	87	2	stability	stability	NOUN
fumecheng-5164	87	3	regions	region	NOUN
fumecheng-5164	87	4	in	in	ADP
fumecheng-5164	87	5	the	the	DET
fumecheng-5164	87	6	function	function	NOUN
fumecheng-5164	87	7	of	of	ADP
fumecheng-5164	87	8	small	small	ADJ
fumecheng-5164	87	9	fluctuation	fluctuation	NOUN
fumecheng-5164	87	10	parameter	parameter	NOUN
fumecheng-5164	87	11	ε	ε	PROPN
fumecheng-5164	87	12	dynamic	dynamic	ADJ
fumecheng-5164	87	13	behavior	behavior	NOUN
fumecheng-5164	87	14	of	of	ADP
fumecheng-5164	87	15	two	two	NUM
fumecheng-5164	87	16	elastically	elastically	ADV
fumecheng-5164	87	17	connected	connect	VERB
fumecheng-5164	87	18	nanobeams	nanobeam	NOUN
fumecheng-5164	87	19	under	under	ADP
fumecheng-5164	87	20	a	a	DET
fumecheng-5164	87	21	white	white	ADJ
fumecheng-5164	87	22	noise	noise	NOUN
fumecheng-5164	87	23	process	process	NOUN
fumecheng-5164	87	24	225	225	NUM
fumecheng-5164	87	25	fig	fig	NOUN
fumecheng-5164	87	26	.	.	PUNCT
fumecheng-5164	88	1	3	3	NUM
fumecheng-5164	88	2	stability	stability	NOUN
fumecheng-5164	88	3	regions	region	NOUN
fumecheng-5164	88	4	obtained	obtain	VERB
fumecheng-5164	88	5	from	from	ADP
fumecheng-5164	88	6	the	the	DET
fumecheng-5164	88	7	moment	moment	NOUN
fumecheng-5164	88	8	lyapunov	lyapunov	PROPN
fumecheng-5164	88	9	exponent	exponent	NOUN
fumecheng-5164	88	10	(	(	PUNCT
fumecheng-5164	88	11	14	14	NUM
fumecheng-5164	88	12	)	)	PUNCT
fumecheng-5164	88	13	for	for	ADP
fumecheng-5164	88	14	(p)=0	(p)=0	NOUN
fumecheng-5164	88	15	in	in	ADP
fumecheng-5164	88	16	the	the	DET
fumecheng-5164	88	17	function	function	NOUN
fumecheng-5164	88	18	of	of	ADP
fumecheng-5164	88	19	norm	norm	NOUN
fumecheng-5164	88	20	degree	degree	NOUN
fumecheng-5164	88	21	p	p	X
fumecheng-5164	88	22	fig	fig	NOUN
fumecheng-5164	88	23	.	.	PUNCT
fumecheng-5164	89	1	4	4	NUM
fumecheng-5164	89	2	stability	stability	NOUN
fumecheng-5164	89	3	regions	region	NOUN
fumecheng-5164	89	4	obtained	obtain	VERB
fumecheng-5164	89	5	from	from	ADP
fumecheng-5164	89	6	the	the	DET
fumecheng-5164	89	7	moment	moment	NOUN
fumecheng-5164	89	8	lyapunov	lyapunov	PROPN
fumecheng-5164	89	9	exponent	exponent	NOUN
fumecheng-5164	89	10	(	(	PUNCT
fumecheng-5164	89	11	14	14	NUM
fumecheng-5164	89	12	)	)	PUNCT
fumecheng-5164	89	13	for	for	ADP
fumecheng-5164	89	14	(p)=0	(p)=0	NOUN
fumecheng-5164	89	15	in	in	ADP
fumecheng-5164	89	16	the	the	DET
fumecheng-5164	89	17	function	function	NOUN
fumecheng-5164	89	18	of	of	ADP
fumecheng-5164	89	19	damping	damp	VERB
fumecheng-5164	89	20	coefficient	coefficient	NOUN
fumecheng-5164	89	21	β	β	X
fumecheng-5164	89	22	226	226	NUM
fumecheng-5164	89	23	i.	i.	NOUN
fumecheng-5164	89	24	pavlović	pavlović	NOUN
fumecheng-5164	89	25	,	,	PUNCT
fumecheng-5164	89	26	r.	r.	PROPN
fumecheng-5164	89	27	pavlović	pavlović	PROPN
fumecheng-5164	89	28	,	,	PUNCT
fumecheng-5164	89	29	g.	g.	PROPN
fumecheng-5164	89	30	janevski	janevski	PROPN
fumecheng-5164	89	31	,	,	PUNCT
fumecheng-5164	89	32	n.	n.	PROPN
fumecheng-5164	89	33	despenić	despenić	PROPN
fumecheng-5164	89	34	,	,	PUNCT
fumecheng-5164	89	35	v.	v.	ADP
fumecheng-5164	89	36	pajković	pajković	PROPN
fumecheng-5164	89	37	fig	fig	NOUN
fumecheng-5164	89	38	.	.	PUNCT
fumecheng-5164	90	1	5	5	NUM
fumecheng-5164	90	2	stability	stability	NOUN
fumecheng-5164	90	3	regions	region	NOUN
fumecheng-5164	90	4	obtained	obtain	VERB
fumecheng-5164	90	5	from	from	ADP
fumecheng-5164	90	6	the	the	DET
fumecheng-5164	90	7	lyapunov	lyapunov	ADJ
fumecheng-5164	90	8	exponent	exponent	NOUN
fumecheng-5164	90	9	result	result	NOUN
fumecheng-5164	90	10	(	(	PUNCT
fumecheng-5164	90	11	14	14	NUM
fumecheng-5164	90	12	)	)	PUNCT
fumecheng-5164	90	13	for	for	ADP
fumecheng-5164	90	14	λ	λ	X
fumecheng-5164	90	15	=	=	SYM
fumecheng-5164	90	16	0	0	NUM
fumecheng-5164	90	17	in	in	ADP
fumecheng-5164	90	18	the	the	DET
fumecheng-5164	90	19	function	function	NOUN
fumecheng-5164	90	20	of	of	ADP
fumecheng-5164	90	21	damping	damp	VERB
fumecheng-5164	90	22	coefficient	coefficient	NOUN
fumecheng-5164	90	23	β	β	PROPN
fumecheng-5164	90	24	5	5	NUM
fumecheng-5164	90	25	.	.	PUNCT
fumecheng-5164	90	26	conclusion	conclusion	NOUN
fumecheng-5164	90	27	by	by	ADP
fumecheng-5164	90	28	means	mean	NOUN
fumecheng-5164	90	29	of	of	ADP
fumecheng-5164	90	30	the	the	DET
fumecheng-5164	90	31	moment	moment	NOUN
fumecheng-5164	90	32	lyapunov	lyapunov	PROPN
fumecheng-5164	90	33	exponent	exponent	NOUN
fumecheng-5164	90	34	,	,	PUNCT
fumecheng-5164	90	35	the	the	DET
fumecheng-5164	90	36	stochastic	stochastic	ADJ
fumecheng-5164	90	37	stability	stability	NOUN
fumecheng-5164	90	38	of	of	ADP
fumecheng-5164	90	39	two	two	NUM
fumecheng-5164	90	40	elastically	elastically	ADV
fumecheng-5164	90	41	connected	connect	VERB
fumecheng-5164	90	42	nanobeams	nanobeam	NOUN
fumecheng-5164	90	43	under	under	ADP
fumecheng-5164	90	44	white	white	ADJ
fumecheng-5164	90	45	noise	noise	NOUN
fumecheng-5164	90	46	excitation	excitation	NOUN
fumecheng-5164	90	47	is	be	AUX
fumecheng-5164	90	48	studied	study	VERB
fumecheng-5164	90	49	in	in	ADP
fumecheng-5164	90	50	this	this	DET
fumecheng-5164	90	51	paper	paper	NOUN
fumecheng-5164	90	52	.	.	PUNCT
fumecheng-5164	91	1	the	the	DET
fumecheng-5164	91	2	regular	regular	ADJ
fumecheng-5164	91	3	perturbation	perturbation	NOUN
fumecheng-5164	91	4	method	method	NOUN
fumecheng-5164	91	5	is	be	AUX
fumecheng-5164	91	6	applied	apply	VERB
fumecheng-5164	91	7	to	to	PART
fumecheng-5164	91	8	obtain	obtain	VERB
fumecheng-5164	91	9	analytical	analytical	ADJ
fumecheng-5164	91	10	results	result	NOUN
fumecheng-5164	91	11	for	for	ADP
fumecheng-5164	91	12	the	the	DET
fumecheng-5164	91	13	moment	moment	NOUN
fumecheng-5164	91	14	lyapunov	lyapunov	PROPN
fumecheng-5164	91	15	exponents	exponent	NOUN
fumecheng-5164	91	16	and	and	CCONJ
fumecheng-5164	91	17	lyapunov	lyapunov	ADJ
fumecheng-5164	91	18	exponent	exponent	NOUN
fumecheng-5164	91	19	in	in	ADP
fumecheng-5164	91	20	terms	term	NOUN
fumecheng-5164	91	21	of	of	ADP
fumecheng-5164	91	22	small	small	ADJ
fumecheng-5164	91	23	fluctuation	fluctuation	NOUN
fumecheng-5164	91	24	parameter	parameter	NOUN
fumecheng-5164	91	25	ε	ε	PROPN
fumecheng-5164	91	26	.	.	PUNCT
fumecheng-5164	91	27	moment	moment	NOUN
fumecheng-5164	91	28	lyapunov	lyapunov	PROPN
fumecheng-5164	91	29	exponents	exponent	NOUN
fumecheng-5164	91	30	are	be	AUX
fumecheng-5164	91	31	important	important	ADJ
fumecheng-5164	91	32	characteristic	characteristic	ADJ
fumecheng-5164	91	33	numbers	number	NOUN
fumecheng-5164	91	34	for	for	ADP
fumecheng-5164	91	35	describing	describe	VERB
fumecheng-5164	91	36	the	the	DET
fumecheng-5164	91	37	dynamic	dynamic	ADJ
fumecheng-5164	91	38	stability	stability	NOUN
fumecheng-5164	91	39	of	of	ADP
fumecheng-5164	91	40	a	a	DET
fumecheng-5164	91	41	stochastic	stochastic	ADJ
fumecheng-5164	91	42	system	system	NOUN
fumecheng-5164	91	43	.	.	PUNCT
fumecheng-5164	92	1	when	when	SCONJ
fumecheng-5164	92	2	the	the	DET
fumecheng-5164	92	3	p	p	NOUN
fumecheng-5164	92	4	-	-	PUNCT
fumecheng-5164	92	5	th	th	VERB
fumecheng-5164	92	6	moment	moment	NOUN
fumecheng-5164	92	7	lyapunov	lyapunov	PROPN
fumecheng-5164	92	8	exponent	exponent	NOUN
fumecheng-5164	92	9	is	be	AUX
fumecheng-5164	92	10	negative	negative	ADJ
fumecheng-5164	92	11	,	,	PUNCT
fumecheng-5164	92	12	the	the	DET
fumecheng-5164	92	13	p	p	NOUN
fumecheng-5164	92	14	-	-	PUNCT
fumecheng-5164	92	15	th	th	VERB
fumecheng-5164	92	16	moment	moment	NOUN
fumecheng-5164	92	17	of	of	ADP
fumecheng-5164	92	18	the	the	DET
fumecheng-5164	92	19	solution	solution	NOUN
fumecheng-5164	92	20	of	of	ADP
fumecheng-5164	92	21	the	the	DET
fumecheng-5164	92	22	stochastic	stochastic	ADJ
fumecheng-5164	92	23	system	system	NOUN
fumecheng-5164	92	24	is	be	AUX
fumecheng-5164	92	25	stable	stable	ADJ
fumecheng-5164	92	26	.	.	PUNCT
fumecheng-5164	93	1	regions	region	NOUN
fumecheng-5164	93	2	of	of	ADP
fumecheng-5164	93	3	almost	almost	ADV
fumecheng-5164	93	4	-	-	PUNCT
fumecheng-5164	93	5	sure	sure	ADJ
fumecheng-5164	93	6	stability	stability	NOUN
fumecheng-5164	93	7	are	be	AUX
fumecheng-5164	93	8	obtained	obtain	VERB
fumecheng-5164	93	9	as	as	ADP
fumecheng-5164	93	10	a	a	DET
fumecheng-5164	93	11	function	function	NOUN
fumecheng-5164	93	12	of	of	ADP
fumecheng-5164	93	13	the	the	DET
fumecheng-5164	93	14	moment	moment	NOUN
fumecheng-5164	93	15	lyapunov	lyapunov	PROPN
fumecheng-5164	93	16	exponent	exponent	NOUN
fumecheng-5164	93	17			NOUN
fumecheng-5164	93	18	,	,	PUNCT
fumecheng-5164	93	19	intensity	intensity	NOUN
fumecheng-5164	93	20	of	of	ADP
fumecheng-5164	93	21	white	white	ADJ
fumecheng-5164	93	22	noise	noise	NOUN
fumecheng-5164	93	23	process	process	NOUN
fumecheng-5164	93	24	σ	σ	PROPN
fumecheng-5164	93	25	2	2	NUM
fumecheng-5164	93	26	,	,	PUNCT
fumecheng-5164	93	27	damping	damp	VERB
fumecheng-5164	93	28	coefficient	coefficient	NOUN
fumecheng-5164	93	29	β	β	NOUN
fumecheng-5164	93	30	,	,	PUNCT
fumecheng-5164	93	31	norm	norm	NOUN
fumecheng-5164	93	32	degree	degree	NOUN
fumecheng-5164	93	33	p	p	NOUN
fumecheng-5164	93	34	and	and	CCONJ
fumecheng-5164	93	35	nanoscale	nanoscale	PROPN
fumecheng-5164	93	36	coefficient	coefficient	NOUN
fumecheng-5164	93	37	μ	μ	PROPN
fumecheng-5164	93	38	.	.	PUNCT
fumecheng-5164	94	1	as	as	ADP
fumecheng-5164	94	2	in	in	ADP
fumecheng-5164	94	3	the	the	DET
fumecheng-5164	94	4	authors	author	NOUN
fumecheng-5164	94	5	’	’	PART
fumecheng-5164	94	6	previous	previous	ADJ
fumecheng-5164	94	7	studies	study	NOUN
fumecheng-5164	94	8	in	in	ADP
fumecheng-5164	94	9	this	this	DET
fumecheng-5164	94	10	field	field	NOUN
fumecheng-5164	94	11	,	,	PUNCT
fumecheng-5164	94	12	it	it	PRON
fumecheng-5164	94	13	is	be	AUX
fumecheng-5164	94	14	confirmed	confirm	VERB
fumecheng-5164	94	15	that	that	SCONJ
fumecheng-5164	94	16	nonlocal	nonlocal	ADJ
fumecheng-5164	94	17	effects	effect	NOUN
fumecheng-5164	94	18	significantly	significantly	ADV
fumecheng-5164	94	19	reduce	reduce	VERB
fumecheng-5164	94	20	stability	stability	NOUN
fumecheng-5164	94	21	regions	region	NOUN
fumecheng-5164	94	22	.	.	PUNCT
fumecheng-5164	95	1	the	the	DET
fumecheng-5164	95	2	numerical	numerical	PROPN
fumecheng-5164	95	3	study	study	PROPN
fumecheng-5164	95	4	shows	show	VERB
fumecheng-5164	95	5	that	that	SCONJ
fumecheng-5164	95	6	the	the	DET
fumecheng-5164	95	7	negative	negative	ADJ
fumecheng-5164	95	8	influence	influence	NOUN
fumecheng-5164	95	9	of	of	ADP
fumecheng-5164	95	10	the	the	DET
fumecheng-5164	95	11	nanoscale	nanoscale	NOUN
fumecheng-5164	95	12	coefficient	coefficient	NOUN
fumecheng-5164	95	13	on	on	ADP
fumecheng-5164	95	14	stability	stability	NOUN
fumecheng-5164	95	15	regions	region	NOUN
fumecheng-5164	95	16	can	can	AUX
fumecheng-5164	95	17	be	be	AUX
fumecheng-5164	95	18	successfully	successfully	ADV
fumecheng-5164	95	19	compensated	compensate	VERB
fumecheng-5164	95	20	with	with	ADP
fumecheng-5164	95	21	a	a	DET
fumecheng-5164	95	22	growth	growth	NOUN
fumecheng-5164	95	23	in	in	ADP
fumecheng-5164	95	24	the	the	DET
fumecheng-5164	95	25	damping	damp	VERB
fumecheng-5164	95	26	coefficient	coefficient	NOUN
fumecheng-5164	95	27	parameter	parameter	NOUN
fumecheng-5164	95	28	.	.	PUNCT
fumecheng-5164	96	1	finally	finally	ADV
fumecheng-5164	96	2	,	,	PUNCT
fumecheng-5164	96	3	with	with	ADP
fumecheng-5164	96	4	the	the	DET
fumecheng-5164	96	5	aim	aim	NOUN
fumecheng-5164	96	6	of	of	ADP
fumecheng-5164	96	7	comparing	compare	VERB
fumecheng-5164	96	8	the	the	DET
fumecheng-5164	96	9	results	result	NOUN
fumecheng-5164	96	10	obtained	obtain	VERB
fumecheng-5164	96	11	from	from	ADP
fumecheng-5164	96	12	the	the	DET
fumecheng-5164	96	13	moment	moment	NOUN
fumecheng-5164	96	14	lyapunov	lyapunov	PROPN
fumecheng-5164	96	15	exponent	exponent	NOUN
fumecheng-5164	96	16	with	with	ADP
fumecheng-5164	96	17	the	the	DET
fumecheng-5164	96	18	results	result	NOUN
fumecheng-5164	96	19	obtained	obtain	VERB
fumecheng-5164	96	20	from	from	ADP
fumecheng-5164	96	21	the	the	DET
fumecheng-5164	96	22	lyapunov	lyapunov	ADJ
fumecheng-5164	96	23	exponent	exponent	NOUN
fumecheng-5164	96	24	method	method	NOUN
fumecheng-5164	96	25	,	,	PUNCT
fumecheng-5164	96	26	fig	fig	NOUN
fumecheng-5164	96	27	.	.	NOUN
fumecheng-5164	96	28	4	4	NUM
fumecheng-5164	96	29	and	and	CCONJ
fumecheng-5164	96	30	fig	fig	NOUN
fumecheng-5164	96	31	.	.	PUNCT
fumecheng-5164	97	1	5	5	NUM
fumecheng-5164	97	2	present	present	VERB
fumecheng-5164	97	3	the	the	DET
fumecheng-5164	97	4	influence	influence	NOUN
fumecheng-5164	97	5	of	of	ADP
fumecheng-5164	97	6	the	the	DET
fumecheng-5164	97	7	most	most	ADV
fumecheng-5164	97	8	important	important	ADJ
fumecheng-5164	97	9	parameters	parameter	NOUN
fumecheng-5164	97	10	for	for	ADP
fumecheng-5164	97	11	the	the	DET
fumecheng-5164	97	12	system	system	NOUN
fumecheng-5164	97	13	stability	stability	NOUN
fumecheng-5164	97	14	,	,	PUNCT
fumecheng-5164	97	15	β	β	PROPN
fumecheng-5164	97	16	and	and	CCONJ
fumecheng-5164	97	17	μ	μ	PROPN
fumecheng-5164	97	18	.	.	PUNCT
fumecheng-5164	98	1	acknowledgements	acknowledgement	NOUN
fumecheng-5164	98	2	:	:	PUNCT
fumecheng-5164	98	3	this	this	DET
fumecheng-5164	98	4	paper	paper	NOUN
fumecheng-5164	98	5	was	be	AUX
fumecheng-5164	98	6	supported	support	VERB
fumecheng-5164	98	7	by	by	ADP
fumecheng-5164	98	8	the	the	DET
fumecheng-5164	98	9	ministry	ministry	PROPN
fumecheng-5164	98	10	of	of	ADP
fumecheng-5164	98	11	education	education	PROPN
fumecheng-5164	98	12	and	and	CCONJ
fumecheng-5164	98	13	science	science	NOUN
fumecheng-5164	98	14	of	of	ADP
fumecheng-5164	98	15	the	the	DET
fumecheng-5164	98	16	republic	republic	NOUN
fumecheng-5164	98	17	of	of	ADP
fumecheng-5164	98	18	serbia	serbia	PROPN
fumecheng-5164	98	19	,	,	PUNCT
fumecheng-5164	98	20	through	through	ADP
fumecheng-5164	98	21	the	the	DET
fumecheng-5164	98	22	project	project	NOUN
fumecheng-5164	98	23	no	no	DET
fumecheng-5164	98	24	174011	174011	NUM
fumecheng-5164	98	25	.	.	PUNCT
fumecheng-5164	99	1	dynamic	dynamic	ADJ
fumecheng-5164	99	2	behavior	behavior	NOUN
fumecheng-5164	99	3	of	of	ADP
fumecheng-5164	99	4	two	two	NUM
fumecheng-5164	99	5	elastically	elastically	ADV
fumecheng-5164	99	6	connected	connect	VERB
fumecheng-5164	99	7	nanobeams	nanobeam	NOUN
fumecheng-5164	99	8	under	under	ADP
fumecheng-5164	99	9	a	a	DET
fumecheng-5164	99	10	white	white	ADJ
fumecheng-5164	99	11	noise	noise	NOUN
fumecheng-5164	99	12	process	process	NOUN
fumecheng-5164	99	13	227	227	NUM
fumecheng-5164	99	14	references	reference	NOUN
fumecheng-5164	99	15	1	1	NUM
fumecheng-5164	99	16	.	.	PUNCT
fumecheng-5164	99	17	ansari	ansari	PROPN
fumecheng-5164	99	18	,	,	PUNCT
fumecheng-5164	99	19	r.	r.	PROPN
fumecheng-5164	99	20	,	,	PUNCT
fumecheng-5164	99	21	torabi	torabi	PROPN
fumecheng-5164	99	22	,	,	PUNCT
fumecheng-5164	99	23	j.	j.	PROPN
fumecheng-5164	99	24	,	,	PUNCT
fumecheng-5164	99	25	norouzzadeh	norouzzadeh	PROPN
fumecheng-5164	99	26	,	,	PUNCT
fumecheng-5164	99	27	a.	a.	NOUN
fumecheng-5164	99	28	,	,	PUNCT
fumecheng-5164	99	29	2018	2018	NUM
fumecheng-5164	99	30	,	,	PUNCT
fumecheng-5164	99	31	bending	bend	VERB
fumecheng-5164	99	32	analysis	analysis	NOUN
fumecheng-5164	99	33	of	of	ADP
fumecheng-5164	99	34	embedded	embed	VERB
fumecheng-5164	99	35	nanoplates	nanoplate	NOUN
fumecheng-5164	99	36	based	base	VERB
fumecheng-5164	99	37	on	on	ADP
fumecheng-5164	99	38	the	the	DET
fumecheng-5164	99	39	integral	integral	ADJ
fumecheng-5164	99	40	formulation	formulation	NOUN
fumecheng-5164	99	41	of	of	ADP
fumecheng-5164	99	42	eringen	eringen	PROPN
fumecheng-5164	99	43	's	's	PART
fumecheng-5164	99	44	nonlocal	nonlocal	ADJ
fumecheng-5164	99	45	theory	theory	NOUN
fumecheng-5164	99	46	using	use	VERB
fumecheng-5164	99	47	the	the	DET
fumecheng-5164	99	48	finite	finite	ADJ
fumecheng-5164	99	49	element	element	NOUN
fumecheng-5164	99	50	method	method	NOUN
fumecheng-5164	99	51	,	,	PUNCT
fumecheng-5164	99	52	physica	physica	NOUN
fumecheng-5164	99	53	b	b	PROPN
fumecheng-5164	99	54	:	:	PUNCT
fumecheng-5164	99	55	condensed	condense	VERB
fumecheng-5164	99	56	matter	matter	NOUN
fumecheng-5164	99	57	,	,	PUNCT
fumecheng-5164	99	58	534	534	NUM
fumecheng-5164	99	59	,	,	PUNCT
fumecheng-5164	99	60	pp	pp	ADJ
fumecheng-5164	99	61	.	.	PUNCT
fumecheng-5164	100	1	90	90	NUM
fumecheng-5164	100	2	-	-	SYM
fumecheng-5164	100	3	97	97	NUM
fumecheng-5164	100	4	.	.	NOUN
fumecheng-5164	101	1	2	2	NUM
fumecheng-5164	101	2	.	.	X
fumecheng-5164	101	3	zhang	zhang	PROPN
fumecheng-5164	101	4	,	,	PUNCT
fumecheng-5164	101	5	h.	h.	PROPN
fumecheng-5164	101	6	,	,	PUNCT
fumecheng-5164	101	7	wang	wang	PROPN
fumecheng-5164	101	8	,	,	PUNCT
fumecheng-5164	101	9	c.m	c.m	PROPN
fumecheng-5164	101	10	.	.	PROPN
fumecheng-5164	101	11	,	,	PUNCT
fumecheng-5164	101	12	challamel	challamel	ADJ
fumecheng-5164	101	13	,	,	PUNCT
fumecheng-5164	101	14	n.	n.	PROPN
fumecheng-5164	101	15	,	,	PUNCT
fumecheng-5164	101	16	pan	pan	PROPN
fumecheng-5164	101	17	,	,	PUNCT
fumecheng-5164	101	18	w.h	w.h	PROPN
fumecheng-5164	101	19	.	.	PROPN
fumecheng-5164	101	20	,	,	PUNCT
fumecheng-5164	101	21	2020	2020	NUM
fumecheng-5164	101	22	,	,	PUNCT
fumecheng-5164	101	23	calibration	calibration	NOUN
fumecheng-5164	101	24	of	of	ADP
fumecheng-5164	101	25	eringen	eringen	PROPN
fumecheng-5164	101	26	's	's	PART
fumecheng-5164	101	27	small	small	ADJ
fumecheng-5164	101	28	length	length	NOUN
fumecheng-5164	101	29	scale	scale	NOUN
fumecheng-5164	101	30	coefficient	coefficient	NOUN
fumecheng-5164	101	31	for	for	ADP
fumecheng-5164	101	32	buckling	buckle	VERB
fumecheng-5164	101	33	circular	circular	ADJ
fumecheng-5164	101	34	and	and	CCONJ
fumecheng-5164	101	35	annular	annular	ADJ
fumecheng-5164	101	36	plates	plate	NOUN
fumecheng-5164	101	37	via	via	ADP
fumecheng-5164	101	38	hencky	hencky	PROPN
fumecheng-5164	101	39	bar	bar	NOUN
fumecheng-5164	101	40	-	-	PUNCT
fumecheng-5164	101	41	net	net	NOUN
fumecheng-5164	101	42	model	model	NOUN
fumecheng-5164	101	43	,	,	PUNCT
fumecheng-5164	101	44	applied	apply	VERB
fumecheng-5164	101	45	mathematical	mathematical	ADJ
fumecheng-5164	101	46	modelling	modelling	NOUN
fumecheng-5164	101	47	,	,	PUNCT
fumecheng-5164	101	48	78	78	NUM
fumecheng-5164	101	49	,	,	PUNCT
fumecheng-5164	101	50	pp	pp	ADJ
fumecheng-5164	101	51	.	.	PUNCT
fumecheng-5164	102	1	399	399	NUM
fumecheng-5164	102	2	-	-	SYM
fumecheng-5164	102	3	417	417	NUM
fumecheng-5164	102	4	.	.	NOUN
fumecheng-5164	103	1	3	3	X
fumecheng-5164	103	2	.	.	X
fumecheng-5164	103	3	pavlović	pavlović	NOUN
fumecheng-5164	103	4	,	,	PUNCT
fumecheng-5164	103	5	i.	i.	NOUN
fumecheng-5164	103	6	,	,	PUNCT
fumecheng-5164	103	7	pavlović	pavlović	NOUN
fumecheng-5164	103	8	,	,	PUNCT
fumecheng-5164	103	9	r.	r.	PROPN
fumecheng-5164	103	10	,	,	PUNCT
fumecheng-5164	103	11	janevski	janevski	NOUN
fumecheng-5164	103	12	,	,	PUNCT
fumecheng-5164	103	13	g.	g.	PROPN
fumecheng-5164	103	14	,	,	PUNCT
fumecheng-5164	103	15	2016	2016	NUM
fumecheng-5164	103	16	,	,	PUNCT
fumecheng-5164	103	17	dynamic	dynamic	ADJ
fumecheng-5164	103	18	instability	instability	NOUN
fumecheng-5164	103	19	of	of	ADP
fumecheng-5164	103	20	coupled	couple	VERB
fumecheng-5164	103	21	nanobeam	nanobeam	NOUN
fumecheng-5164	103	22	systems	system	NOUN
fumecheng-5164	103	23	.	.	PUNCT
fumecheng-5164	104	1	meccanica	meccanica	PROPN
fumecheng-5164	104	2	,	,	PUNCT
fumecheng-5164	104	3	51	51	NUM
fumecheng-5164	104	4	,	,	PUNCT
fumecheng-5164	104	5	pp	pp	ADJ
fumecheng-5164	104	6	.	.	PUNCT
fumecheng-5164	105	1	1167–1180	1167–1180	NUM
fumecheng-5164	105	2	.	.	PUNCT
fumecheng-5164	106	1	4	4	X
fumecheng-5164	106	2	.	.	X
fumecheng-5164	106	3	huang	huang	PROPN
fumecheng-5164	106	4	,	,	PUNCT
fumecheng-5164	106	5	y.	y.	PROPN
fumecheng-5164	106	6	,	,	PUNCT
fumecheng-5164	106	7	fu	fu	PROPN
fumecheng-5164	106	8	,	,	PUNCT
fumecheng-5164	106	9	j.	j.	PROPN
fumecheng-5164	106	10	,	,	PUNCT
fumecheng-5164	106	11	liu	liu	PROPN
fumecheng-5164	106	12	.	.	PUNCT
fumecheng-5164	106	13	a.	a.	PROPN
fumecheng-5164	106	14	,	,	PUNCT
fumecheng-5164	106	15	2019	2019	NUM
fumecheng-5164	106	16	,	,	PUNCT
fumecheng-5164	106	17	dynamic	dynamic	ADJ
fumecheng-5164	106	18	instability	instability	NOUN
fumecheng-5164	106	19	of	of	ADP
fumecheng-5164	106	20	euler	euler	PROPN
fumecheng-5164	106	21	–	–	PUNCT
fumecheng-5164	106	22	bernoulli	bernoulli	PROPN
fumecheng-5164	106	23	nanobeams	nanobeam	NOUN
fumecheng-5164	106	24	subject	subject	VERB
fumecheng-5164	106	25	to	to	ADP
fumecheng-5164	106	26	parametric	parametric	ADJ
fumecheng-5164	106	27	excitation	excitation	NOUN
fumecheng-5164	106	28	,	,	PUNCT
fumecheng-5164	106	29	composites	composite	VERB
fumecheng-5164	106	30	part	part	NOUN
fumecheng-5164	106	31	b	b	NOUN
fumecheng-5164	106	32	:	:	PUNCT
fumecheng-5164	106	33	engineering	engineering	NOUN
fumecheng-5164	106	34	,	,	PUNCT
fumecheng-5164	106	35	164	164	NUM
fumecheng-5164	106	36	,	,	PUNCT
fumecheng-5164	106	37	pp	pp	ADJ
fumecheng-5164	106	38	.	.	PUNCT
fumecheng-5164	107	1	226	226	NUM
fumecheng-5164	107	2	-	-	SYM
fumecheng-5164	107	3	234	234	NUM
fumecheng-5164	107	4	.	.	NOUN
fumecheng-5164	108	1	5	5	NUM
fumecheng-5164	108	2	.	.	X
fumecheng-5164	108	3	jena	jena	PROPN
fumecheng-5164	108	4	,	,	PUNCT
fumecheng-5164	108	5	s.k	s.k	PROPN
fumecheng-5164	108	6	.	.	PROPN
fumecheng-5164	108	7	,	,	PUNCT
fumecheng-5164	108	8	chakraverty	chakraverty	PROPN
fumecheng-5164	108	9	,	,	PUNCT
fumecheng-5164	108	10	s.	s.	PROPN
fumecheng-5164	108	11	,	,	PUNCT
fumecheng-5164	108	12	2018	2018	NUM
fumecheng-5164	108	13	,	,	PUNCT
fumecheng-5164	108	14	free	free	ADJ
fumecheng-5164	108	15	vibration	vibration	NOUN
fumecheng-5164	108	16	analysis	analysis	NOUN
fumecheng-5164	108	17	of	of	ADP
fumecheng-5164	108	18	euler	euler	NOUN
fumecheng-5164	108	19	–	–	PUNCT
fumecheng-5164	108	20	bernoulli	bernoulli	PROPN
fumecheng-5164	108	21	nanobeam	nanobeam	NOUN
fumecheng-5164	108	22	using	use	VERB
fumecheng-5164	108	23	differential	differential	ADJ
fumecheng-5164	108	24	transform	transform	NOUN
fumecheng-5164	108	25	method	method	NOUN
fumecheng-5164	108	26	,	,	PUNCT
fumecheng-5164	108	27	international	international	ADJ
fumecheng-5164	108	28	journal	journal	NOUN
fumecheng-5164	108	29	of	of	ADP
fumecheng-5164	108	30	computational	computational	ADJ
fumecheng-5164	108	31	materials	material	NOUN
fumecheng-5164	108	32	science	science	NOUN
fumecheng-5164	108	33	and	and	CCONJ
fumecheng-5164	108	34	engineering	engineering	NOUN
fumecheng-5164	108	35	,	,	PUNCT
fumecheng-5164	108	36	7(3	7(3	NUM
fumecheng-5164	108	37	)	)	PUNCT
fumecheng-5164	108	38	,	,	PUNCT
fumecheng-5164	108	39	pp	pp	ADJ
fumecheng-5164	108	40	.	.	PUNCT
fumecheng-5164	108	41	1850020	1850020	NUM
fumecheng-5164	108	42	.	.	PUNCT
fumecheng-5164	109	1	6	6	NUM
fumecheng-5164	109	2	.	.	X
fumecheng-5164	109	3	zhang	zhang	PROPN
fumecheng-5164	109	4	,	,	PUNCT
fumecheng-5164	109	5	y.q	y.q	PROPN
fumecheng-5164	109	6	.	.	PROPN
fumecheng-5164	109	7	,	,	PUNCT
fumecheng-5164	109	8	lu	lu	PROPN
fumecheng-5164	109	9	,	,	PUNCT
fumecheng-5164	109	10	y.	y.	PROPN
fumecheng-5164	109	11	,	,	PUNCT
fumecheng-5164	109	12	ma	ma	PROPN
fumecheng-5164	109	13	,	,	PUNCT
fumecheng-5164	109	14	g.w	g.w	PROPN
fumecheng-5164	109	15	.	.	PROPN
fumecheng-5164	109	16	,	,	PUNCT
fumecheng-5164	109	17	2008	2008	NUM
fumecheng-5164	109	18	,	,	PUNCT
fumecheng-5164	109	19	effect	effect	NOUN
fumecheng-5164	109	20	of	of	ADP
fumecheng-5164	109	21	compressive	compressive	ADJ
fumecheng-5164	109	22	axial	axial	ADJ
fumecheng-5164	109	23	load	load	NOUN
fumecheng-5164	109	24	on	on	ADP
fumecheng-5164	109	25	forced	force	VERB
fumecheng-5164	109	26	transverse	transverse	NOUN
fumecheng-5164	109	27	vibration	vibration	NOUN
fumecheng-5164	109	28	of	of	ADP
fumecheng-5164	109	29	a	a	DET
fumecheng-5164	109	30	double	double	ADJ
fumecheng-5164	109	31	-	-	PUNCT
fumecheng-5164	109	32	beam	beam	NOUN
fumecheng-5164	109	33	system	system	NOUN
fumecheng-5164	109	34	.	.	PUNCT
fumecheng-5164	110	1	international	international	ADJ
fumecheng-5164	110	2	journal	journal	PROPN
fumecheng-5164	110	3	of	of	ADP
fumecheng-5164	110	4	mechanical	mechanical	ADJ
fumecheng-5164	110	5	sciences	science	NOUN
fumecheng-5164	110	6	,	,	PUNCT
fumecheng-5164	110	7	50(2	50(2	NUM
fumecheng-5164	110	8	)	)	PUNCT
fumecheng-5164	110	9	,	,	PUNCT
fumecheng-5164	110	10	pp	pp	ADP
fumecheng-5164	110	11	.	.	PUNCT
fumecheng-5164	111	1	299–305	299–305	NUM
fumecheng-5164	111	2	.	.	PUNCT
fumecheng-5164	112	1	7	7	NUM
fumecheng-5164	112	2	.	.	X
fumecheng-5164	112	3	xie	xie	PROPN
fumecheng-5164	112	4	,	,	PUNCT
fumecheng-5164	112	5	w.-c	w.-c	PROPN
fumecheng-5164	112	6	.	.	PUNCT
fumecheng-5164	112	7	,	,	PUNCT
fumecheng-5164	112	8	2003	2003	NUM
fumecheng-5164	112	9	,	,	PUNCT
fumecheng-5164	112	10	moment	moment	NOUN
fumecheng-5164	112	11	lyapunov	lyapunov	PROPN
fumecheng-5164	112	12	exponents	exponent	NOUN
fumecheng-5164	112	13	of	of	ADP
fumecheng-5164	112	14	a	a	DET
fumecheng-5164	112	15	two	two	NUM
fumecheng-5164	112	16	-	-	PUNCT
fumecheng-5164	112	17	dimensional	dimensional	ADJ
fumecheng-5164	112	18	system	system	NOUN
fumecheng-5164	112	19	under	under	ADP
fumecheng-5164	112	20	bounded	bounded	ADJ
fumecheng-5164	112	21	noise	noise	NOUN
fumecheng-5164	112	22	parametric	parametric	ADJ
fumecheng-5164	112	23	excitation	excitation	NOUN
fumecheng-5164	112	24	.	.	PUNCT
fumecheng-5164	113	1	journal	journal	PROPN
fumecheng-5164	113	2	of	of	ADP
fumecheng-5164	113	3	sound	sound	NOUN
fumecheng-5164	113	4	and	and	CCONJ
fumecheng-5164	113	5	vibration	vibration	NOUN
fumecheng-5164	113	6	263(3	263(3	NUM
fumecheng-5164	113	7	)	)	PUNCT
fumecheng-5164	113	8	,	,	PUNCT
fumecheng-5164	113	9	pp	pp	ADP
fumecheng-5164	113	10	.	.	PUNCT
fumecheng-5164	114	1	593–616	593–616	NUM
fumecheng-5164	114	2	.	.	NOUN
fumecheng-5164	115	1	8	8	NUM
fumecheng-5164	115	2	.	.	X
fumecheng-5164	116	1	xie	xie	PROPN
fumecheng-5164	116	2	,	,	PUNCT
fumecheng-5164	116	3	w.-c	w.-c	PROPN
fumecheng-5164	116	4	.	.	PUNCT
fumecheng-5164	116	5	,	,	PUNCT
fumecheng-5164	116	6	2001	2001	NUM
fumecheng-5164	116	7	,	,	PUNCT
fumecheng-5164	116	8	moment	moment	NOUN
fumecheng-5164	116	9	lyapunov	lyapunov	PROPN
fumecheng-5164	116	10	exponents	exponent	NOUN
fumecheng-5164	116	11	of	of	ADP
fumecheng-5164	116	12	a	a	DET
fumecheng-5164	116	13	two	two	NUM
fumecheng-5164	116	14	-	-	PUNCT
fumecheng-5164	116	15	dimensional	dimensional	ADJ
fumecheng-5164	116	16	system	system	NOUN
fumecheng-5164	116	17	under	under	ADP
fumecheng-5164	116	18	real	real	ADJ
fumecheng-5164	116	19	-	-	PUNCT
fumecheng-5164	116	20	noise	noise	NOUN
fumecheng-5164	116	21	excitation	excitation	NOUN
fumecheng-5164	116	22	.	.	PUNCT
fumecheng-5164	117	1	journal	journal	PROPN
fumecheng-5164	117	2	of	of	ADP
fumecheng-5164	117	3	sound	sound	NOUN
fumecheng-5164	117	4	and	and	CCONJ
fumecheng-5164	117	5	vibration	vibration	NOUN
fumecheng-5164	117	6	239(1	239(1	NUM
fumecheng-5164	117	7	)	)	PUNCT
fumecheng-5164	117	8	,	,	PUNCT
fumecheng-5164	117	9	pp	pp	ADP
fumecheng-5164	117	10	.	.	PUNCT
fumecheng-5164	118	1	139–155	139–155	NUM
fumecheng-5164	118	2	.	.	NOUN
fumecheng-5164	118	3	9	9	NUM
fumecheng-5164	118	4	.	.	X
fumecheng-5164	118	5	kozić	kozić	PROPN
fumecheng-5164	118	6	,	,	PUNCT
fumecheng-5164	118	7	p.	p.	NOUN
fumecheng-5164	118	8	,	,	PUNCT
fumecheng-5164	118	9	janevski	janevski	PROPN
fumecheng-5164	118	10	,	,	PUNCT
fumecheng-5164	118	11	g.	g.	PROPN
fumecheng-5164	118	12	,	,	PUNCT
fumecheng-5164	118	13	pavlović	pavlović	NOUN
fumecheng-5164	118	14	,	,	PUNCT
fumecheng-5164	118	15	r.	r.	PROPN
fumecheng-5164	118	16	,	,	PUNCT
fumecheng-5164	118	17	2010	2010	NUM
fumecheng-5164	118	18	,	,	PUNCT
fumecheng-5164	118	19	moment	moment	NOUN
fumecheng-5164	118	20	lyapunov	lyapunov	PROPN
fumecheng-5164	118	21	exponents	exponent	NOUN
fumecheng-5164	118	22	and	and	CCONJ
fumecheng-5164	118	23	stochastic	stochastic	ADJ
fumecheng-5164	118	24	stability	stability	NOUN
fumecheng-5164	118	25	of	of	ADP
fumecheng-5164	118	26	a	a	DET
fumecheng-5164	118	27	double	double	ADJ
fumecheng-5164	118	28	-	-	PUNCT
fumecheng-5164	118	29	beam	beam	NOUN
fumecheng-5164	118	30	system	system	NOUN
fumecheng-5164	118	31	under	under	ADP
fumecheng-5164	118	32	compressive	compressive	ADJ
fumecheng-5164	118	33	axial	axial	ADJ
fumecheng-5164	118	34	loading	loading	NOUN
fumecheng-5164	118	35	,	,	PUNCT
fumecheng-5164	118	36	international	international	ADJ
fumecheng-5164	118	37	journal	journal	NOUN
fumecheng-5164	118	38	of	of	ADP
fumecheng-5164	118	39	solids	solid	NOUN
fumecheng-5164	118	40	and	and	CCONJ
fumecheng-5164	118	41	structures	structure	NOUN
fumecheng-5164	118	42	,	,	PUNCT
fumecheng-5164	118	43	47(10	47(10	NUM
fumecheng-5164	118	44	)	)	PUNCT
fumecheng-5164	118	45	,	,	PUNCT
fumecheng-5164	118	46	pp	pp	ADP
fumecheng-5164	118	47	.	.	PUNCT
fumecheng-5164	119	1	1435–1442	1435–1442	NUM
fumecheng-5164	119	2	.	.	PUNCT
fumecheng-5164	120	1	10	10	NUM
fumecheng-5164	120	2	.	.	PUNCT
fumecheng-5164	121	1	kozić	kozić	PROPN
fumecheng-5164	121	2	,	,	PUNCT
fumecheng-5164	121	3	p.	p.	NOUN
fumecheng-5164	121	4	,	,	PUNCT
fumecheng-5164	121	5	pavlović	pavlović	NOUN
fumecheng-5164	121	6	,	,	PUNCT
fumecheng-5164	121	7	r.	r.	PROPN
fumecheng-5164	121	8	,	,	PUNCT
fumecheng-5164	121	9	janevski	janevski	NOUN
fumecheng-5164	121	10	,	,	PUNCT
fumecheng-5164	121	11	g.	g.	PROPN
fumecheng-5164	121	12	,	,	PUNCT
fumecheng-5164	121	13	2008	2008	NUM
fumecheng-5164	121	14	,	,	PUNCT
fumecheng-5164	121	15	moment	moment	NOUN
fumecheng-5164	121	16	lyapunov	lyapunov	PROPN
fumecheng-5164	121	17	exponents	exponent	NOUN
fumecheng-5164	121	18	of	of	ADP
fumecheng-5164	121	19	the	the	DET
fumecheng-5164	121	20	stochastic	stochastic	ADJ
fumecheng-5164	121	21	parametrical	parametrical	PROPN
fumecheng-5164	121	22	hill	hill	PROPN
fumecheng-5164	121	23	’s	’s	PART
fumecheng-5164	121	24	equation	equation	NOUN
fumecheng-5164	121	25	,	,	PUNCT
fumecheng-5164	121	26	international	international	ADJ
fumecheng-5164	121	27	journal	journal	NOUN
fumecheng-5164	121	28	of	of	ADP
fumecheng-5164	121	29	solid	solid	ADJ
fumecheng-5164	121	30	and	and	CCONJ
fumecheng-5164	121	31	structures	structure	NOUN
fumecheng-5164	121	32	,	,	PUNCT
fumecheng-5164	121	33	45(24	45(24	NOUN
fumecheng-5164	121	34	)	)	PUNCT
fumecheng-5164	121	35	,	,	PUNCT
fumecheng-5164	121	36	pp	pp	ADJ
fumecheng-5164	121	37	.	.	PUNCT
fumecheng-5164	122	1	6056	6056	NUM
fumecheng-5164	122	2	-	-	SYM
fumecheng-5164	122	3	6066	6066	NUM
fumecheng-5164	122	4	.	.	PUNCT
fumecheng-5164	123	1	11	11	NUM
fumecheng-5164	123	2	.	.	X
fumecheng-5164	124	1	pavlović	pavlović	NOUN
fumecheng-5164	124	2	,	,	PUNCT
fumecheng-5164	124	3	r.i	r.i	PROPN
fumecheng-5164	124	4	.	.	PROPN
fumecheng-5164	124	5	,	,	PUNCT
fumecheng-5164	124	6	karličić	karličić	PROPN
fumecheng-5164	124	7	,	,	PUNCT
fumecheng-5164	124	8	z.d	z.d	PROPN
fumecheng-5164	124	9	.	.	PROPN
fumecheng-5164	124	10	,	,	PUNCT
fumecheng-5164	124	11	pavlović	pavlović	NOUN
fumecheng-5164	124	12	,	,	PUNCT
fumecheng-5164	124	13	r.	r.	PROPN
fumecheng-5164	124	14	,	,	PUNCT
fumecheng-5164	124	15	janevski	janevski	NOUN
fumecheng-5164	124	16	,	,	PUNCT
fumecheng-5164	124	17	b.g	b.g	PROPN
fumecheng-5164	124	18	.	.	PROPN
fumecheng-5164	124	19	,	,	PUNCT
fumecheng-5164	124	20	ćirić	ćirić	NOUN
fumecheng-5164	124	21	,	,	PUNCT
fumecheng-5164	124	22	t.i	t.i	PROPN
fumecheng-5164	124	23	.	.	PROPN
fumecheng-5164	124	24	,	,	PUNCT
fumecheng-5164	124	25	2016	2016	NUM
fumecheng-5164	124	26	,	,	PUNCT
fumecheng-5164	124	27	stochastic	stochastic	ADJ
fumecheng-5164	124	28	stability	stability	NOUN
fumecheng-5164	124	29	of	of	ADP
fumecheng-5164	124	30	multi	multi	ADJ
fumecheng-5164	124	31	-	-	ADJ
fumecheng-5164	124	32	nanobeam	nanobeam	ADJ
fumecheng-5164	124	33	systems	system	NOUN
fumecheng-5164	124	34	,	,	PUNCT
fumecheng-5164	124	35	international	international	ADJ
fumecheng-5164	124	36	journal	journal	NOUN
fumecheng-5164	124	37	of	of	ADP
fumecheng-5164	124	38	engineering	engineering	NOUN
fumecheng-5164	124	39	science	science	NOUN
fumecheng-5164	124	40	,	,	PUNCT
fumecheng-5164	124	41	109	109	NUM
fumecheng-5164	124	42	,	,	PUNCT
fumecheng-5164	124	43	pp	pp	ADJ
fumecheng-5164	124	44	.	.	PUNCT
fumecheng-5164	125	1	88	88	NUM
fumecheng-5164	125	2	-	-	SYM
fumecheng-5164	125	3	105	105	NUM
fumecheng-5164	125	4	.	.	PUNCT
fumecheng-5164	126	1	12	12	NUM
fumecheng-5164	126	2	.	.	PUNCT
fumecheng-5164	127	1	pavlović	pavlović	NOUN
fumecheng-5164	127	2	,	,	PUNCT
fumecheng-5164	127	3	i.	i.	NOUN
fumecheng-5164	127	4	,	,	PUNCT
fumecheng-5164	127	5	pavlović	pavlović	NOUN
fumecheng-5164	127	6	,	,	PUNCT
fumecheng-5164	127	7	r.	r.	PROPN
fumecheng-5164	127	8	,	,	PUNCT
fumecheng-5164	127	9	kozić	kozić	PROPN
fumecheng-5164	127	10	,	,	PUNCT
fumecheng-5164	127	11	p.	p.	NOUN
fumecheng-5164	127	12	,	,	PUNCT
fumecheng-5164	127	13	janevski	janevski	PROPN
fumecheng-5164	127	14	,	,	PUNCT
fumecheng-5164	127	15	g.	g.	PROPN
fumecheng-5164	127	16	,	,	PUNCT
fumecheng-5164	127	17	2013	2013	NUM
fumecheng-5164	127	18	,	,	PUNCT
fumecheng-5164	127	19	almost	almost	ADV
fumecheng-5164	127	20	sure	sure	ADJ
fumecheng-5164	127	21	stochastic	stochastic	ADJ
fumecheng-5164	127	22	stability	stability	NOUN
fumecheng-5164	127	23	of	of	ADP
fumecheng-5164	127	24	a	a	DET
fumecheng-5164	127	25	viscoelastic	viscoelastic	ADJ
fumecheng-5164	127	26	doublebeam	doublebeam	NOUN
fumecheng-5164	127	27	system	system	NOUN
fumecheng-5164	127	28	,	,	PUNCT
fumecheng-5164	127	29	archive	archive	NOUN
fumecheng-5164	127	30	of	of	ADP
fumecheng-5164	127	31	applied	apply	VERB
fumecheng-5164	127	32	mechanics	mechanic	NOUN
fumecheng-5164	127	33	,	,	PUNCT
fumecheng-5164	127	34	83	83	NUM
fumecheng-5164	127	35	,	,	PUNCT
fumecheng-5164	127	36	pp	pp	ADJ
fumecheng-5164	127	37	.	.	PUNCT
fumecheng-5164	128	1	1591	1591	NUM
fumecheng-5164	128	2	-	-	SYM
fumecheng-5164	128	3	1605	1605	NUM
fumecheng-5164	128	4	.	.	PUNCT
fumecheng-5164	129	1	13	13	NUM
fumecheng-5164	129	2	.	.	X
fumecheng-5164	130	1	ru	ru	PROPN
fumecheng-5164	130	2	,	,	PUNCT
fumecheng-5164	130	3	c.q	c.q	PROPN
fumecheng-5164	130	4	.	.	PROPN
fumecheng-5164	130	5	,	,	PUNCT
fumecheng-5164	130	6	2000	2000	NUM
fumecheng-5164	130	7	,	,	PUNCT
fumecheng-5164	130	8	effect	effect	NOUN
fumecheng-5164	130	9	of	of	ADP
fumecheng-5164	130	10	van	van	PROPN
fumecheng-5164	130	11	der	der	NOUN
fumecheng-5164	130	12	waals	waal	NOUN
fumecheng-5164	130	13	forces	force	NOUN
fumecheng-5164	130	14	on	on	ADP
fumecheng-5164	130	15	axial	axial	ADJ
fumecheng-5164	130	16	buckling	buckling	NOUN
fumecheng-5164	130	17	of	of	ADP
fumecheng-5164	130	18	a	a	DET
fumecheng-5164	130	19	double	double	ADJ
fumecheng-5164	130	20	-	-	PUNCT
fumecheng-5164	130	21	walled	walled	ADJ
fumecheng-5164	130	22	carbon	carbon	NOUN
fumecheng-5164	130	23	nanotube	nanotube	NOUN
fumecheng-5164	130	24	,	,	PUNCT
fumecheng-5164	130	25	journal	journal	NOUN
fumecheng-5164	130	26	of	of	ADP
fumecheng-5164	130	27	applied	applied	ADJ
fumecheng-5164	130	28	physics	physic	NOUN
fumecheng-5164	130	29	,	,	PUNCT
fumecheng-5164	130	30	87(10	87(10	NUM
fumecheng-5164	130	31	)	)	PUNCT
fumecheng-5164	130	32	,	,	PUNCT
fumecheng-5164	130	33	pp	pp	ADP
fumecheng-5164	130	34	.	.	PUNCT
fumecheng-5164	131	1	7227	7227	NUM
fumecheng-5164	131	2	-	-	SYM
fumecheng-5164	131	3	7231	7231	NUM
fumecheng-5164	131	4	.	.	PUNCT
fumecheng-5164	132	1	14	14	NUM
fumecheng-5164	132	2	.	.	X
fumecheng-5164	133	1	eringen	eringen	PROPN
fumecheng-5164	133	2	,	,	PUNCT
fumecheng-5164	133	3	a.c	a.c	PROPN
fumecheng-5164	133	4	.	.	PROPN
fumecheng-5164	133	5	,	,	PUNCT
fumecheng-5164	133	6	2002	2002	NUM
fumecheng-5164	133	7	,	,	PUNCT
fumecheng-5164	133	8	nonlocal	nonlocal	ADJ
fumecheng-5164	133	9	continuum	continuum	ADJ
fumecheng-5164	133	10	field	field	NOUN
fumecheng-5164	133	11	theories	theory	NOUN
fumecheng-5164	133	12	,	,	PUNCT
fumecheng-5164	133	13	springer	springer	NOUN
fumecheng-5164	133	14	-	-	PUNCT
fumecheng-5164	133	15	verlag	verlag	PROPN
fumecheng-5164	133	16	,	,	PUNCT
fumecheng-5164	133	17	new	new	PROPN
fumecheng-5164	133	18	york	york	PROPN
fumecheng-5164	133	19	.	.	PUNCT
fumecheng-5164	134	1	15	15	NUM
fumecheng-5164	134	2	.	.	X
fumecheng-5164	135	1	murmu	murmu	NOUN
fumecheng-5164	135	2	,	,	PUNCT
fumecheng-5164	135	3	t.	t.	PROPN
fumecheng-5164	135	4	,	,	PUNCT
fumecheng-5164	135	5	adhikari	adhikari	PROPN
fumecheng-5164	135	6	,	,	PUNCT
fumecheng-5164	135	7	s.	s.	PROPN
fumecheng-5164	135	8	,	,	PUNCT
fumecheng-5164	135	9	2011	2011	NUM
fumecheng-5164	135	10	,	,	PUNCT
fumecheng-5164	135	11	axial	axial	ADJ
fumecheng-5164	135	12	instability	instability	NOUN
fumecheng-5164	135	13	of	of	ADP
fumecheng-5164	135	14	double	double	ADJ
fumecheng-5164	135	15	nanobeam	nanobeam	NOUN
fumecheng-5164	135	16	-	-	PUNCT
fumecheng-5164	135	17	systems	system	NOUN
fumecheng-5164	135	18	,	,	PUNCT
fumecheng-5164	135	19	physics	physics	NOUN
fumecheng-5164	135	20	letters	letter	NOUN
fumecheng-5164	135	21	a	a	PRON
fumecheng-5164	135	22	,	,	PUNCT
fumecheng-5164	135	23	375(3	375(3	NUM
fumecheng-5164	135	24	)	)	PUNCT
fumecheng-5164	135	25	,	,	PUNCT
fumecheng-5164	135	26	pp	pp	ADP
fumecheng-5164	135	27	.	.	PUNCT
fumecheng-5164	136	1	601–608	601–608	NUM
fumecheng-5164	136	2	.	.	PUNCT
fumecheng-5164	137	1	16	16	NUM
fumecheng-5164	137	2	.	.	PUNCT
fumecheng-5164	138	1	arnold	arnold	PROPN
fumecheng-5164	138	2	,	,	PUNCT
fumecheng-5164	138	3	l.	l.	PROPN
fumecheng-5164	138	4	,	,	PUNCT
fumecheng-5164	138	5	doyle	doyle	PROPN
fumecheng-5164	138	6	,	,	PUNCT
fumecheng-5164	138	7	m.m	m.m	PROPN
fumecheng-5164	138	8	.	.	PROPN
fumecheng-5164	138	9	,	,	PUNCT
fumecheng-5164	138	10	sri	sri	PROPN
fumecheng-5164	138	11	namachchivaya	namachchivaya	PROPN
fumecheng-5164	138	12	,	,	PUNCT
fumecheng-5164	138	13	n.	n.	NOUN
fumecheng-5164	138	14	,	,	PUNCT
fumecheng-5164	138	15	1997	1997	NUM
fumecheng-5164	138	16	,	,	PUNCT
fumecheng-5164	138	17	small	small	ADJ
fumecheng-5164	138	18	noise	noise	NOUN
fumecheng-5164	138	19	expansion	expansion	NOUN
fumecheng-5164	138	20	of	of	ADP
fumecheng-5164	138	21	moment	moment	NOUN
fumecheng-5164	138	22	lyapunov	lyapunov	PROPN
fumecheng-5164	138	23	exponents	exponent	NOUN
fumecheng-5164	138	24	for	for	ADP
fumecheng-5164	138	25	two	two	NUM
fumecheng-5164	138	26	-	-	PUNCT
fumecheng-5164	138	27	dimensional	dimensional	ADJ
fumecheng-5164	138	28	systems	system	NOUN
fumecheng-5164	138	29	,	,	PUNCT
fumecheng-5164	138	30	dynamics	dynamic	NOUN
fumecheng-5164	138	31	and	and	CCONJ
fumecheng-5164	138	32	stability	stability	NOUN
fumecheng-5164	138	33	of	of	ADP
fumecheng-5164	138	34	systems	system	NOUN
fumecheng-5164	138	35	,	,	PUNCT
fumecheng-5164	138	36	12(3	12(3	NUM
fumecheng-5164	138	37	)	)	PUNCT
fumecheng-5164	138	38	,	,	PUNCT
fumecheng-5164	138	39	pp	pp	ADP
fumecheng-5164	138	40	.	.	PUNCT
fumecheng-5164	139	1	187–211	187–211	NUM
fumecheng-5164	139	2	.	.	PUNCT