id	sid	tid	token	lemma	pos
fumecheng-7698	1	1	7698	7698	NUM
fumecheng-7698	1	2	facta	facta	NOUN
fumecheng-7698	1	3	universitatis	universitatis	PROPN
fumecheng-7698	1	4	series	series	NOUN
fumecheng-7698	1	5	:	:	PUNCT
fumecheng-7698	1	6	mechanical	mechanical	ADJ
fumecheng-7698	1	7	engineering	engineering	NOUN
fumecheng-7698	1	8	vol	vol	NOUN
fumecheng-7698	1	9	.	.	PROPN
fumecheng-7698	1	10	21	21	NUM
fumecheng-7698	1	11	,	,	PUNCT
fumecheng-7698	1	12	no	no	DET
fumecheng-7698	1	13	2	2	NUM
fumecheng-7698	1	14	,	,	PUNCT
fumecheng-7698	1	15	2023	2023	NUM
fumecheng-7698	1	16	,	,	PUNCT
fumecheng-7698	1	17	pp	pp	ADV
fumecheng-7698	1	18	.	.	PUNCT
fumecheng-7698	2	1	259	259	NUM
fumecheng-7698	2	2	272	272	NUM
fumecheng-7698	2	3	https://doi.org/10.22190/fume210612064k	https://doi.org/10.22190/fume210612064k	NOUN
fumecheng-7698	2	4	©	©	PROPN
fumecheng-7698	2	5	2023	2023	NUM
fumecheng-7698	2	6	by	by	ADP
fumecheng-7698	2	7	university	university	PROPN
fumecheng-7698	2	8	of	of	ADP
fumecheng-7698	2	9	niš	niš	PROPN
fumecheng-7698	2	10	,	,	PUNCT
fumecheng-7698	2	11	serbia	serbia	PROPN
fumecheng-7698	2	12	|	|	ADV
fumecheng-7698	2	13	creative	creative	ADJ
fumecheng-7698	2	14	commons	common	NOUN
fumecheng-7698	2	15	license	license	NOUN
fumecheng-7698	2	16	:	:	PUNCT
fumecheng-7698	2	17	cc	cc	VERB
fumecheng-7698	2	18	by	by	ADP
fumecheng-7698	2	19	-	-	PUNCT
fumecheng-7698	2	20	nc	nc	VERB
fumecheng-7698	2	21	-	-	PUNCT
fumecheng-7698	2	22	nd	nd	ADV
fumecheng-7698	2	23	original	original	ADJ
fumecheng-7698	2	24	scientific	scientific	ADJ
fumecheng-7698	2	25	paper	paper	NUM
fumecheng-7698	2	26	nonlinear	nonlinear	ADJ
fumecheng-7698	2	27	vibration	vibration	NOUN
fumecheng-7698	2	28	response	response	NOUN
fumecheng-7698	2	29	of	of	ADP
fumecheng-7698	2	30	piezoelectric	piezoelectric	ADJ
fumecheng-7698	2	31	nanosensor	nanosensor	NOUN
fumecheng-7698	2	32	:	:	PUNCT
fumecheng-7698	2	33	influences	influence	NOUN
fumecheng-7698	2	34	of	of	ADP
fumecheng-7698	2	35	surface	surface	NOUN
fumecheng-7698	2	36	/	/	SYM
fumecheng-7698	2	37	interface	interface	NOUN
fumecheng-7698	2	38	effects	effect	NOUN
fumecheng-7698	2	39	sayyid	sayyid	PROPN
fumecheng-7698	2	40	h.	h.	PROPN
fumecheng-7698	2	41	hashemi	hashemi	PROPN
fumecheng-7698	2	42	kachapi	kachapi	PROPN
fumecheng-7698	2	43	department	department	PROPN
fumecheng-7698	2	44	of	of	ADP
fumecheng-7698	2	45	mechanical	mechanical	ADJ
fumecheng-7698	2	46	engineering	engineering	NOUN
fumecheng-7698	2	47	,	,	PUNCT
fumecheng-7698	2	48	babol	babol	PROPN
fumecheng-7698	2	49	noshirvani	noshirvani	PROPN
fumecheng-7698	2	50	university	university	PROPN
fumecheng-7698	2	51	of	of	ADP
fumecheng-7698	2	52	technology	technology	NOUN
fumecheng-7698	2	53	,	,	PUNCT
fumecheng-7698	2	54	iran	iran	PROPN
fumecheng-7698	2	55	abstract	abstract	ADJ
fumecheng-7698	2	56	.	.	PUNCT
fumecheng-7698	3	1	in	in	ADP
fumecheng-7698	3	2	the	the	DET
fumecheng-7698	3	3	present	present	ADJ
fumecheng-7698	3	4	work	work	NOUN
fumecheng-7698	3	5	,	,	PUNCT
fumecheng-7698	3	6	surface	surface	NOUN
fumecheng-7698	3	7	/	/	SYM
fumecheng-7698	3	8	interface	interface	NOUN
fumecheng-7698	3	9	energy	energy	NOUN
fumecheng-7698	3	10	effects	effect	NOUN
fumecheng-7698	3	11	for	for	ADP
fumecheng-7698	3	12	pull	pull	NOUN
fumecheng-7698	3	13	-	-	PUNCT
fumecheng-7698	3	14	in	in	ADP
fumecheng-7698	3	15	instability	instability	NOUN
fumecheng-7698	3	16	analysis	analysis	NOUN
fumecheng-7698	3	17	on	on	ADP
fumecheng-7698	3	18	dimensionless	dimensionless	ADJ
fumecheng-7698	3	19	natural	natural	ADJ
fumecheng-7698	3	20	frequency	frequency	NOUN
fumecheng-7698	3	21	(	(	PUNCT
fumecheng-7698	3	22	dnf	dnf	X
fumecheng-7698	3	23	)	)	PUNCT
fumecheng-7698	3	24	and	and	CCONJ
fumecheng-7698	3	25	nonlinear	nonlinear	ADJ
fumecheng-7698	3	26	dynamics	dynamic	NOUN
fumecheng-7698	3	27	response	response	NOUN
fumecheng-7698	3	28	(	(	PUNCT
fumecheng-7698	3	29	ndr	ndr	PROPN
fumecheng-7698	3	30	)	)	PUNCT
fumecheng-7698	3	31	of	of	ADP
fumecheng-7698	3	32	piezoelectric	piezoelectric	ADJ
fumecheng-7698	3	33	nanosensor	nanosensor	NOUN
fumecheng-7698	3	34	(	(	PUNCT
fumecheng-7698	3	35	pens	pen	NOUN
fumecheng-7698	3	36	)	)	PUNCT
fumecheng-7698	3	37	subjected	subject	VERB
fumecheng-7698	3	38	to	to	ADP
fumecheng-7698	3	39	nonlinear	nonlinear	ADJ
fumecheng-7698	3	40	electrostatic	electrostatic	ADJ
fumecheng-7698	3	41	excitation	excitation	NOUN
fumecheng-7698	3	42	and	and	CCONJ
fumecheng-7698	3	43	harmonic	harmonic	ADJ
fumecheng-7698	3	44	force	force	NOUN
fumecheng-7698	3	45	are	be	AUX
fumecheng-7698	3	46	studied	study	VERB
fumecheng-7698	3	47	using	use	VERB
fumecheng-7698	3	48	gurtin	gurtin	NOUN
fumecheng-7698	3	49	–	–	PUNCT
fumecheng-7698	3	50	murdoch	murdoch	PROPN
fumecheng-7698	3	51	(	(	PUNCT
fumecheng-7698	3	52	gm	gm	PROPN
fumecheng-7698	3	53	)	)	PUNCT
fumecheng-7698	3	54	surface	surface	NOUN
fumecheng-7698	3	55	/	/	SYM
fumecheng-7698	3	56	interface	interface	NOUN
fumecheng-7698	3	57	energy	energy	NOUN
fumecheng-7698	3	58	approach	approach	NOUN
fumecheng-7698	3	59	.	.	PUNCT
fumecheng-7698	4	1	to	to	PART
fumecheng-7698	4	2	achieve	achieve	VERB
fumecheng-7698	4	3	this	this	DET
fumecheng-7698	4	4	purpose	purpose	NOUN
fumecheng-7698	4	5	,	,	PUNCT
fumecheng-7698	4	6	the	the	DET
fumecheng-7698	4	7	hamilton	hamilton	PROPN
fumecheng-7698	4	8	’s	’s	PART
fumecheng-7698	4	9	approach	approach	NOUN
fumecheng-7698	4	10	,	,	PUNCT
fumecheng-7698	4	11	assumed	assume	VERB
fumecheng-7698	4	12	mode	mode	NOUN
fumecheng-7698	4	13	and	and	CCONJ
fumecheng-7698	4	14	lagrange	lagrange	PROPN
fumecheng-7698	4	15	–	–	PUNCT
fumecheng-7698	4	16	euler	euler	NOUN
fumecheng-7698	4	17	’s	’s	PART
fumecheng-7698	4	18	theories	theory	NOUN
fumecheng-7698	4	19	and	and	CCONJ
fumecheng-7698	4	20	also	also	ADV
fumecheng-7698	4	21	arc	arc	NOUN
fumecheng-7698	4	22	-	-	PUNCT
fumecheng-7698	4	23	length	length	NOUN
fumecheng-7698	4	24	continuation	continuation	NOUN
fumecheng-7698	4	25	and	and	CCONJ
fumecheng-7698	4	26	complex	complex	ADJ
fumecheng-7698	4	27	averaging	averaging	NOUN
fumecheng-7698	4	28	methods	method	NOUN
fumecheng-7698	4	29	are	be	AUX
fumecheng-7698	4	30	used	use	VERB
fumecheng-7698	4	31	to	to	PART
fumecheng-7698	4	32	investigate	investigate	VERB
fumecheng-7698	4	33	influences	influence	NOUN
fumecheng-7698	4	34	of	of	ADP
fumecheng-7698	4	35	surface	surface	NOUN
fumecheng-7698	4	36	/	/	SYM
fumecheng-7698	4	37	interface	interface	NOUN
fumecheng-7698	4	38	parameters	parameter	NOUN
fumecheng-7698	4	39	of	of	ADP
fumecheng-7698	4	40	pens	pen	NOUN
fumecheng-7698	4	41	such	such	ADJ
fumecheng-7698	4	42	as	as	ADP
fumecheng-7698	4	43	lame	lame	NOUN
fumecheng-7698	4	44	’s	’s	PART
fumecheng-7698	4	45	constants	constant	NOUN
fumecheng-7698	4	46	,	,	PUNCT
fumecheng-7698	4	47	residual	residual	ADJ
fumecheng-7698	4	48	stress	stress	NOUN
fumecheng-7698	4	49	,	,	PUNCT
fumecheng-7698	4	50	piezoelectric	piezoelectric	ADJ
fumecheng-7698	4	51	constants	constant	NOUN
fumecheng-7698	4	52	and	and	CCONJ
fumecheng-7698	4	53	mass	mass	ADJ
fumecheng-7698	4	54	density	density	NOUN
fumecheng-7698	4	55	for	for	ADP
fumecheng-7698	4	56	analysis	analysis	NOUN
fumecheng-7698	4	57	of	of	ADP
fumecheng-7698	4	58	pull	pull	NOUN
fumecheng-7698	4	59	-	-	PUNCT
fumecheng-7698	4	60	in	in	ADP
fumecheng-7698	4	61	instability	instability	NOUN
fumecheng-7698	4	62	voltage	voltage	NOUN
fumecheng-7698	4	63	.	.	PUNCT
fumecheng-7698	5	1	key	key	ADJ
fumecheng-7698	5	2	words	word	NOUN
fumecheng-7698	5	3	:	:	PUNCT
fumecheng-7698	5	4	pull	pull	NOUN
fumecheng-7698	5	5	-	-	PUNCT
fumecheng-7698	5	6	in	in	ADP
fumecheng-7698	5	7	instability	instability	NOUN
fumecheng-7698	5	8	,	,	PUNCT
fumecheng-7698	5	9	nonlinear	nonlinear	ADJ
fumecheng-7698	5	10	dynamic	dynamic	ADJ
fumecheng-7698	5	11	response	response	NOUN
fumecheng-7698	5	12	,	,	PUNCT
fumecheng-7698	5	13	piezoelectric	piezoelectric	ADJ
fumecheng-7698	5	14	nanosensor	nanosensor	NOUN
fumecheng-7698	5	15	,	,	PUNCT
fumecheng-7698	5	16	surface	surface	NOUN
fumecheng-7698	5	17	/	/	SYM
fumecheng-7698	5	18	interface	interface	NOUN
fumecheng-7698	5	19	effects	effect	NOUN
fumecheng-7698	5	20	,	,	PUNCT
fumecheng-7698	5	21	arc	arc	NOUN
fumecheng-7698	5	22	-	-	PUNCT
fumecheng-7698	5	23	length	length	NOUN
fumecheng-7698	5	24	continuation	continuation	NOUN
fumecheng-7698	5	25	,	,	PUNCT
fumecheng-7698	5	26	nonlinear	nonlinear	ADJ
fumecheng-7698	5	27	electrostatic	electrostatic	ADJ
fumecheng-7698	5	28	excitation	excitation	NOUN
fumecheng-7698	5	29	1	1	NUM
fumecheng-7698	5	30	.	.	PUNCT
fumecheng-7698	6	1	introduction	introduction	NOUN
fumecheng-7698	6	2	nanomechanical	nanomechanical	ADJ
fumecheng-7698	6	3	sensors	sensor	NOUN
fumecheng-7698	6	4	and	and	CCONJ
fumecheng-7698	6	5	resonators	resonator	NOUN
fumecheng-7698	6	6	especially	especially	ADV
fumecheng-7698	6	7	for	for	ADP
fumecheng-7698	6	8	piezoelectric	piezoelectric	ADJ
fumecheng-7698	6	9	nanostructures	nanostructure	NOUN
fumecheng-7698	6	10	,	,	PUNCT
fumecheng-7698	6	11	due	due	ADP
fumecheng-7698	6	12	to	to	ADP
fumecheng-7698	6	13	small	small	ADJ
fumecheng-7698	6	14	size	size	NOUN
fumecheng-7698	6	15	and	and	CCONJ
fumecheng-7698	6	16	mass	mass	NOUN
fumecheng-7698	6	17	and	and	CCONJ
fumecheng-7698	6	18	their	their	PRON
fumecheng-7698	6	19	unique	unique	ADJ
fumecheng-7698	6	20	properties	property	NOUN
fumecheng-7698	6	21	,	,	PUNCT
fumecheng-7698	6	22	are	be	AUX
fumecheng-7698	6	23	widely	widely	ADV
fumecheng-7698	6	24	used	use	VERB
fumecheng-7698	6	25	in	in	ADP
fumecheng-7698	6	26	advanced	advanced	ADJ
fumecheng-7698	6	27	engineering	engineering	NOUN
fumecheng-7698	6	28	applications	application	NOUN
fumecheng-7698	6	29	and	and	CCONJ
fumecheng-7698	6	30	industry	industry	NOUN
fumecheng-7698	7	1	[	[	X
fumecheng-7698	7	2	1	1	NUM
fumecheng-7698	7	3	-	-	SYM
fumecheng-7698	7	4	3	3	NUM
fumecheng-7698	7	5	]	]	PUNCT
fumecheng-7698	7	6	.	.	PUNCT
fumecheng-7698	8	1	in	in	ADP
fumecheng-7698	8	2	the	the	DET
fumecheng-7698	8	3	last	last	ADJ
fumecheng-7698	8	4	decade	decade	NOUN
fumecheng-7698	8	5	,	,	PUNCT
fumecheng-7698	8	6	there	there	PRON
fumecheng-7698	8	7	has	have	AUX
fumecheng-7698	8	8	been	be	AUX
fumecheng-7698	8	9	a	a	DET
fumecheng-7698	8	10	great	great	ADJ
fumecheng-7698	8	11	deal	deal	NOUN
fumecheng-7698	8	12	of	of	ADP
fumecheng-7698	8	13	research	research	NOUN
fumecheng-7698	8	14	into	into	ADP
fumecheng-7698	8	15	the	the	DET
fumecheng-7698	8	16	vibrations	vibration	NOUN
fumecheng-7698	8	17	and	and	CCONJ
fumecheng-7698	8	18	dynamics	dynamic	NOUN
fumecheng-7698	8	19	analysis	analysis	NOUN
fumecheng-7698	8	20	especially	especially	ADV
fumecheng-7698	8	21	the	the	DET
fumecheng-7698	8	22	pull	pull	NOUN
fumecheng-7698	8	23	-	-	PUNCT
fumecheng-7698	8	24	in	in	ADP
fumecheng-7698	8	25	instability	instability	NOUN
fumecheng-7698	8	26	phenomenon	phenomenon	NOUN
fumecheng-7698	8	27	of	of	ADP
fumecheng-7698	8	28	such	such	ADJ
fumecheng-7698	8	29	nanostructures	nanostructure	NOUN
fumecheng-7698	8	30	,	,	PUNCT
fumecheng-7698	8	31	some	some	PRON
fumecheng-7698	8	32	of	of	ADP
fumecheng-7698	8	33	which	which	PRON
fumecheng-7698	8	34	will	will	AUX
fumecheng-7698	8	35	be	be	AUX
fumecheng-7698	8	36	mentioned	mention	VERB
fumecheng-7698	8	37	in	in	ADP
fumecheng-7698	8	38	the	the	DET
fumecheng-7698	8	39	following	following	NOUN
fumecheng-7698	8	40	.	.	PUNCT
fumecheng-7698	9	1	farokhi	farokhi	PROPN
fumecheng-7698	9	2	et	et	PROPN
fumecheng-7698	9	3	al	al	PROPN
fumecheng-7698	9	4	.	.	PROPN
fumecheng-7698	10	1	used	use	VERB
fumecheng-7698	10	2	fe	fe	PROPN
fumecheng-7698	10	3	approach	approach	NOUN
fumecheng-7698	10	4	to	to	PART
fumecheng-7698	10	5	analyze	analyze	VERB
fumecheng-7698	10	6	nonlinear	nonlinear	ADJ
fumecheng-7698	10	7	responses	response	NOUN
fumecheng-7698	10	8	of	of	ADP
fumecheng-7698	10	9	static	static	ADJ
fumecheng-7698	10	10	and	and	CCONJ
fumecheng-7698	10	11	dynamic	dynamic	ADJ
fumecheng-7698	10	12	and	and	CCONJ
fumecheng-7698	10	13	pull	pull	NOUN
fumecheng-7698	10	14	-	-	PUNCT
fumecheng-7698	10	15	in	in	ADP
fumecheng-7698	10	16	behavior	behavior	NOUN
fumecheng-7698	10	17	for	for	ADP
fumecheng-7698	10	18	nano	nano	NOUN
fumecheng-7698	10	19	resonator	resonator	NOUN
fumecheng-7698	10	20	with	with	ADP
fumecheng-7698	10	21	electrostatic	electrostatic	ADJ
fumecheng-7698	10	22	excitation	excitation	NOUN
fumecheng-7698	10	23	[	[	X
fumecheng-7698	10	24	4	4	NUM
fumecheng-7698	10	25	]	]	PUNCT
fumecheng-7698	10	26	.	.	PUNCT
fumecheng-7698	11	1	prasanth	prasanth	AUX
fumecheng-7698	11	2	et	et	PROPN
fumecheng-7698	11	3	al	al	PROPN
fumecheng-7698	11	4	.	.	PROPN
fumecheng-7698	11	5	worked	work	VERB
fumecheng-7698	11	6	on	on	ADP
fumecheng-7698	11	7	pull	pull	NOUN
fumecheng-7698	11	8	-	-	PUNCT
fumecheng-7698	11	9	in	in	ADP
fumecheng-7698	11	10	behaviour	behaviour	NOUN
fumecheng-7698	11	11	of	of	ADP
fumecheng-7698	11	12	a	a	DET
fumecheng-7698	11	13	micro	micro	ADJ
fumecheng-7698	11	14	resonator	resonator	NOUN
fumecheng-7698	11	15	considering	consider	VERB
fumecheng-7698	11	16	large	large	ADJ
fumecheng-7698	11	17	elastic	elastic	ADJ
fumecheng-7698	11	18	deflection	deflection	NOUN
fumecheng-7698	11	19	[	[	X
fumecheng-7698	11	20	5	5	NUM
fumecheng-7698	11	21	]	]	PUNCT
fumecheng-7698	11	22	.	.	PUNCT
fumecheng-7698	12	1	surface	surface	NOUN
fumecheng-7698	12	2	energy	energy	NOUN
fumecheng-7698	12	3	approach	approach	NOUN
fumecheng-7698	12	4	is	be	AUX
fumecheng-7698	12	5	utilized	utilize	VERB
fumecheng-7698	12	6	by	by	ADP
fumecheng-7698	12	7	pourkiaee	pourkiaee	PROPN
fumecheng-7698	12	8	et	et	PROPN
fumecheng-7698	12	9	al	al	PROPN
fumecheng-7698	12	10	.	.	PUNCT
fumecheng-7698	12	11	to	to	PART
fumecheng-7698	12	12	study	study	VERB
fumecheng-7698	12	13	nonlinear	nonlinear	ADJ
fumecheng-7698	12	14	vibration	vibration	NOUN
fumecheng-7698	12	15	of	of	ADP
fumecheng-7698	12	16	nano	nano	NOUN
fumecheng-7698	12	17	beam	beam	NOUN
fumecheng-7698	12	18	resonator	resonator	NOUN
fumecheng-7698	12	19	with	with	ADP
fumecheng-7698	12	20	piezoelectric	piezoelectric	ADJ
fumecheng-7698	12	21	layer	layer	NOUN
fumecheng-7698	12	22	and	and	CCONJ
fumecheng-7698	12	23	electrostatic	electrostatic	ADJ
fumecheng-7698	12	24	excitation	excitation	NOUN
fumecheng-7698	12	25	[	[	X
fumecheng-7698	12	26	6	6	NUM
fumecheng-7698	12	27	]	]	PUNCT
fumecheng-7698	12	28	.	.	PUNCT
fumecheng-7698	13	1	karimipour	karimipour	NOUN
fumecheng-7698	13	2	et	et	PROPN
fumecheng-7698	13	3	al	al	PROPN
fumecheng-7698	13	4	.	.	PROPN
fumecheng-7698	13	5	presented	present	VERB
fumecheng-7698	13	6	nonclassical	nonclassical	ADJ
fumecheng-7698	13	7	received	receive	VERB
fumecheng-7698	13	8	june	june	PROPN
fumecheng-7698	13	9	12	12	NUM
fumecheng-7698	13	10	,	,	PUNCT
fumecheng-7698	13	11	2021	2021	NUM
fumecheng-7698	13	12	/	/	SYM
fumecheng-7698	13	13	accepted	accept	VERB
fumecheng-7698	13	14	october	october	PROPN
fumecheng-7698	13	15	23	23	NUM
fumecheng-7698	13	16	,	,	PUNCT
fumecheng-7698	13	17	2021	2021	NUM
fumecheng-7698	13	18	corresponding	correspond	VERB
fumecheng-7698	13	19	author	author	NOUN
fumecheng-7698	13	20	:	:	PUNCT
fumecheng-7698	13	21	sayyid	sayyid	PROPN
fumecheng-7698	13	22	h.	h.	PROPN
fumecheng-7698	13	23	hashemi	hashemi	PROPN
fumecheng-7698	13	24	kachapi	kachapi	PROPN
fumecheng-7698	13	25	department	department	PROPN
fumecheng-7698	13	26	of	of	ADP
fumecheng-7698	13	27	mechanical	mechanical	ADJ
fumecheng-7698	13	28	engineering	engineering	NOUN
fumecheng-7698	13	29	,	,	PUNCT
fumecheng-7698	13	30	babol	babol	PROPN
fumecheng-7698	13	31	noshirvani	noshirvani	PROPN
fumecheng-7698	13	32	university	university	PROPN
fumecheng-7698	13	33	of	of	ADP
fumecheng-7698	13	34	technology	technology	PROPN
fumecheng-7698	13	35	,	,	PUNCT
fumecheng-7698	13	36	p.o	p.o	PROPN
fumecheng-7698	13	37	.	.	PROPN
fumecheng-7698	13	38	box	box	PROPN
fumecheng-7698	13	39	484	484	NUM
fumecheng-7698	13	40	,	,	PUNCT
fumecheng-7698	13	41	shariati	shariati	PROPN
fumecheng-7698	13	42	street	street	PROPN
fumecheng-7698	13	43	,	,	PUNCT
fumecheng-7698	13	44	babol	babol	NOUN
fumecheng-7698	13	45	,	,	PUNCT
fumecheng-7698	13	46	mazandaran47148	mazandaran47148	PROPN
fumecheng-7698	13	47	-	-	PUNCT
fumecheng-7698	13	48	71167	71167	NUM
fumecheng-7698	13	49	,	,	PUNCT
fumecheng-7698	13	50	iran	iran	PROPN
fumecheng-7698	13	51	e	e	NOUN
fumecheng-7698	13	52	-	-	NOUN
fumecheng-7698	13	53	mail	mail	NOUN
fumecheng-7698	13	54	:	:	PUNCT
fumecheng-7698	13	55	sha.hashemi.kachapi@gmail.com	sha.hashemi.kachapi@gmail.com	PROPN
fumecheng-7698	13	56	mailto:sha.hashemi.kachapi@gmail.com	mailto:sha.hashemi.kachapi@gmail.com	PROPN
fumecheng-7698	13	57	260	260	NUM
fumecheng-7698	14	1	s.	s.	PROPN
fumecheng-7698	14	2	h.	h.	PROPN
fumecheng-7698	14	3	h.	h.	PROPN
fumecheng-7698	14	4	kachapi	kachapi	PROPN
fumecheng-7698	14	5	theories	theory	NOUN
fumecheng-7698	14	6	to	to	PART
fumecheng-7698	14	7	study	study	VERB
fumecheng-7698	14	8	pull	pull	NOUN
fumecheng-7698	14	9	-	-	PUNCT
fumecheng-7698	14	10	in	in	NOUN
fumecheng-7698	14	11	behavior	behavior	NOUN
fumecheng-7698	14	12	of	of	ADP
fumecheng-7698	14	13	thin	thin	ADJ
fumecheng-7698	14	14	plate	plate	NOUN
fumecheng-7698	14	15	activator	activator	NOUN
fumecheng-7698	14	16	[	[	X
fumecheng-7698	14	17	7	7	NUM
fumecheng-7698	14	18	]	]	PUNCT
fumecheng-7698	14	19	.	.	PUNCT
fumecheng-7698	15	1	in	in	ADP
fumecheng-7698	15	2	the	the	DET
fumecheng-7698	15	3	work	work	NOUN
fumecheng-7698	15	4	by	by	ADP
fumecheng-7698	15	5	nikpourian	nikpourian	PROPN
fumecheng-7698	15	6	et	et	PROPN
fumecheng-7698	15	7	al	al	PROPN
fumecheng-7698	15	8	.	.	PROPN
fumecheng-7698	15	9	,	,	PUNCT
fumecheng-7698	15	10	nonlinear	nonlinear	ADJ
fumecheng-7698	15	11	dynamics	dynamic	NOUN
fumecheng-7698	15	12	analysis	analysis	NOUN
fumecheng-7698	15	13	in	in	ADP
fumecheng-7698	15	14	micro	micro	ADJ
fumecheng-7698	15	15	beam	beam	NOUN
fumecheng-7698	15	16	resonator	resonator	NOUN
fumecheng-7698	15	17	with	with	ADP
fumecheng-7698	15	18	piezoelectric	piezoelectric	ADJ
fumecheng-7698	15	19	layer	layer	NOUN
fumecheng-7698	15	20	and	and	CCONJ
fumecheng-7698	15	21	electrostatic	electrostatic	ADJ
fumecheng-7698	15	22	force	force	NOUN
fumecheng-7698	15	23	investigated	investigate	VERB
fumecheng-7698	15	24	using	use	VERB
fumecheng-7698	15	25	size	size	NOUN
fumecheng-7698	15	26	dependent	dependent	ADJ
fumecheng-7698	15	27	approach	approach	NOUN
fumecheng-7698	15	28	[	[	X
fumecheng-7698	15	29	8	8	NUM
fumecheng-7698	15	30	]	]	PUNCT
fumecheng-7698	15	31	.	.	PUNCT
fumecheng-7698	16	1	investigation	investigation	NOUN
fumecheng-7698	16	2	of	of	ADP
fumecheng-7698	16	3	pull	pull	NOUN
fumecheng-7698	16	4	-	-	PUNCT
fumecheng-7698	16	5	in	in	ADP
fumecheng-7698	16	6	phenomenon	phenomenon	NOUN
fumecheng-7698	16	7	in	in	ADP
fumecheng-7698	16	8	nems	nem	NOUN
fumecheng-7698	16	9	and	and	CCONJ
fumecheng-7698	16	10	mems	mem	NOUN
fumecheng-7698	16	11	is	be	AUX
fumecheng-7698	16	12	studied	study	VERB
fumecheng-7698	16	13	by	by	ADP
fumecheng-7698	16	14	zhang	zhang	PROPN
fumecheng-7698	16	15	et	et	PROPN
fumecheng-7698	16	16	al	al	PROPN
fumecheng-7698	16	17	.	.	PUNCT
fumecheng-7698	17	1	[	[	X
fumecheng-7698	17	2	9	9	NUM
fumecheng-7698	17	3	]	]	PUNCT
fumecheng-7698	17	4	.	.	PUNCT
fumecheng-7698	17	5	pull	pull	NOUN
fumecheng-7698	17	6	-	-	PUNCT
fumecheng-7698	17	7	in	in	ADP
fumecheng-7698	17	8	instability	instability	NOUN
fumecheng-7698	17	9	behavior	behavior	NOUN
fumecheng-7698	17	10	of	of	ADP
fumecheng-7698	17	11	microbeams	microbeam	NOUN
fumecheng-7698	17	12	and	and	CCONJ
fumecheng-7698	17	13	nano	nano	NOUN
fumecheng-7698	17	14	bridge	bridge	NOUN
fumecheng-7698	17	15	are	be	AUX
fumecheng-7698	17	16	presented	present	VERB
fumecheng-7698	17	17	by	by	ADP
fumecheng-7698	17	18	sedighi	sedighi	PROPN
fumecheng-7698	17	19	et	et	PROPN
fumecheng-7698	17	20	al	al	PROPN
fumecheng-7698	17	21	.	.	PUNCT
fumecheng-7698	18	1	using	use	VERB
fumecheng-7698	18	2	strain	strain	NOUN
fumecheng-7698	18	3	gradient	gradient	ADJ
fumecheng-7698	18	4	approach	approach	NOUN
fumecheng-7698	18	5	[	[	X
fumecheng-7698	18	6	10	10	NUM
fumecheng-7698	18	7	,	,	PUNCT
fumecheng-7698	18	8	11	11	NUM
fumecheng-7698	18	9	]	]	PUNCT
fumecheng-7698	18	10	.	.	PUNCT
fumecheng-7698	19	1	pull	pull	NOUN
fumecheng-7698	19	2	-	-	PUNCT
fumecheng-7698	19	3	in	in	ADP
fumecheng-7698	19	4	instability	instability	NOUN
fumecheng-7698	19	5	behavior	behavior	NOUN
fumecheng-7698	19	6	of	of	ADP
fumecheng-7698	19	7	nanostructures	nanostructure	NOUN
fumecheng-7698	19	8	such	such	ADJ
fumecheng-7698	19	9	as	as	ADP
fumecheng-7698	19	10	nano	nano	NOUN
fumecheng-7698	19	11	bridges	bridge	NOUN
fumecheng-7698	19	12	,	,	PUNCT
fumecheng-7698	19	13	nems	nem	NOUN
fumecheng-7698	19	14	and	and	CCONJ
fumecheng-7698	19	15	nanobeams	nanobeam	NOUN
fumecheng-7698	19	16	,	,	PUNCT
fumecheng-7698	19	17	are	be	AUX
fumecheng-7698	19	18	presented	present	VERB
fumecheng-7698	19	19	by	by	ADP
fumecheng-7698	19	20	tadi	tadi	NOUN
fumecheng-7698	19	21	beni	beni	PROPN
fumecheng-7698	19	22	et	et	PROPN
fumecheng-7698	19	23	al	al	PROPN
fumecheng-7698	19	24	.	.	PUNCT
fumecheng-7698	19	25	using	use	VERB
fumecheng-7698	19	26	non	non	ADJ
fumecheng-7698	19	27	classical	classical	ADJ
fumecheng-7698	19	28	theories	theory	NOUN
fumecheng-7698	19	29	such	such	ADJ
fumecheng-7698	19	30	as	as	ADP
fumecheng-7698	19	31	a	a	DET
fumecheng-7698	19	32	modified	modify	VERB
fumecheng-7698	19	33	version	version	NOUN
fumecheng-7698	19	34	of	of	ADP
fumecheng-7698	19	35	coupled	couple	VERB
fumecheng-7698	19	36	stress	stress	NOUN
fumecheng-7698	19	37	method	method	NOUN
fumecheng-7698	20	1	[	[	X
fumecheng-7698	20	2	12	12	NUM
fumecheng-7698	20	3	-	-	SYM
fumecheng-7698	20	4	14	14	NUM
fumecheng-7698	20	5	]	]	PUNCT
fumecheng-7698	20	6	.	.	PUNCT
fumecheng-7698	21	1	dynamic	dynamic	ADJ
fumecheng-7698	21	2	pull	pull	NOUN
fumecheng-7698	21	3	-	-	PUNCT
fumecheng-7698	21	4	in	in	NOUN
fumecheng-7698	21	5	and	and	CCONJ
fumecheng-7698	21	6	damage	damage	VERB
fumecheng-7698	21	7	reconnaissance	reconnaissance	NOUN
fumecheng-7698	21	8	of	of	ADP
fumecheng-7698	21	9	micro	micro	ADJ
fumecheng-7698	21	10	structures	structure	NOUN
fumecheng-7698	21	11	is	be	AUX
fumecheng-7698	21	12	presented	present	VERB
fumecheng-7698	21	13	by	by	ADP
fumecheng-7698	21	14	tajalli	tajalli	PROPN
fumecheng-7698	21	15	et	et	PROPN
fumecheng-7698	21	16	al	al	PROPN
fumecheng-7698	21	17	.	.	PUNCT
fumecheng-7698	22	1	[	[	X
fumecheng-7698	22	2	15	15	NUM
fumecheng-7698	22	3	]	]	PUNCT
fumecheng-7698	22	4	.	.	PUNCT
fumecheng-7698	23	1	also	also	ADV
fumecheng-7698	23	2	the	the	DET
fumecheng-7698	23	3	modified	modify	VERB
fumecheng-7698	23	4	version	version	NOUN
fumecheng-7698	23	5	of	of	ADP
fumecheng-7698	23	6	coupled	couple	VERB
fumecheng-7698	23	7	stress	stress	NOUN
fumecheng-7698	23	8	method	method	NOUN
fumecheng-7698	23	9	is	be	AUX
fumecheng-7698	23	10	utilized	utilize	VERB
fumecheng-7698	23	11	by	by	ADP
fumecheng-7698	23	12	farokhi	farokhi	NOUN
fumecheng-7698	23	13	et	et	PROPN
fumecheng-7698	23	14	al	al	PROPN
fumecheng-7698	23	15	.	.	PUNCT
fumecheng-7698	23	16	to	to	PART
fumecheng-7698	23	17	analyze	analyze	VERB
fumecheng-7698	23	18	resonant	resonant	VERB
fumecheng-7698	23	19	and	and	CCONJ
fumecheng-7698	23	20	pull	pull	NOUN
fumecheng-7698	23	21	-	-	PUNCT
fumecheng-7698	23	22	in	in	NOUN
fumecheng-7698	23	23	behavior	behavior	NOUN
fumecheng-7698	23	24	of	of	ADP
fumecheng-7698	23	25	carbon	carbon	NOUN
fumecheng-7698	23	26	nanotube	nanotube	NOUN
fumecheng-7698	23	27	based	base	VERB
fumecheng-7698	23	28	resonators	resonator	NOUN
fumecheng-7698	23	29	[	[	X
fumecheng-7698	23	30	16	16	NUM
fumecheng-7698	23	31	]	]	PUNCT
fumecheng-7698	23	32	.	.	PUNCT
fumecheng-7698	24	1	stability	stability	NOUN
fumecheng-7698	24	2	analysis	analysis	NOUN
fumecheng-7698	24	3	and	and	CCONJ
fumecheng-7698	24	4	nonlinear	nonlinear	ADJ
fumecheng-7698	24	5	vibrations	vibration	NOUN
fumecheng-7698	24	6	of	of	ADP
fumecheng-7698	24	7	structures	structure	NOUN
fumecheng-7698	24	8	such	such	ADJ
fumecheng-7698	24	9	as	as	ADP
fumecheng-7698	24	10	plates	plate	NOUN
fumecheng-7698	24	11	and	and	CCONJ
fumecheng-7698	24	12	shells	shell	NOUN
fumecheng-7698	24	13	in	in	ADP
fumecheng-7698	24	14	theoretical	theoretical	ADJ
fumecheng-7698	24	15	and	and	CCONJ
fumecheng-7698	24	16	experimental	experimental	ADJ
fumecheng-7698	24	17	cases	case	NOUN
fumecheng-7698	24	18	are	be	AUX
fumecheng-7698	24	19	also	also	ADV
fumecheng-7698	24	20	presented	present	VERB
fumecheng-7698	24	21	by	by	ADP
fumecheng-7698	24	22	amabili	amabili	NOUN
fumecheng-7698	24	23	[	[	X
fumecheng-7698	24	24	17	17	NUM
fumecheng-7698	24	25	]	]	PUNCT
fumecheng-7698	24	26	.	.	PUNCT
fumecheng-7698	25	1	bornassi	bornassi	PROPN
fumecheng-7698	25	2	et	et	PROPN
fumecheng-7698	25	3	al	al	PROPN
fumecheng-7698	25	4	.	.	PUNCT
fumecheng-7698	26	1	utilized	utilize	VERB
fumecheng-7698	26	2	nonlocal	nonlocal	ADJ
fumecheng-7698	26	3	model	model	NOUN
fumecheng-7698	26	4	to	to	PART
fumecheng-7698	26	5	analyze	analyze	VERB
fumecheng-7698	26	6	pull	pull	VERB
fumecheng-7698	26	7	-	-	PUNCT
fumecheng-7698	26	8	in	in	ADP
fumecheng-7698	26	9	phenomenon	phenomenon	NOUN
fumecheng-7698	26	10	of	of	ADP
fumecheng-7698	26	11	nems	nem	NOUN
fumecheng-7698	26	12	[	[	X
fumecheng-7698	26	13	18	18	NUM
fumecheng-7698	26	14	]	]	PUNCT
fumecheng-7698	26	15	.	.	PUNCT
fumecheng-7698	27	1	for	for	ADP
fumecheng-7698	27	2	consideration	consideration	NOUN
fumecheng-7698	27	3	of	of	ADP
fumecheng-7698	27	4	non	non	ADJ
fumecheng-7698	27	5	-	-	ADJ
fumecheng-7698	27	6	classical	classical	ADJ
fumecheng-7698	27	7	surface	surface	NOUN
fumecheng-7698	27	8	parameters	parameter	NOUN
fumecheng-7698	27	9	of	of	ADP
fumecheng-7698	27	10	nanostructures	nanostructure	NOUN
fumecheng-7698	27	11	,	,	PUNCT
fumecheng-7698	27	12	surface	surface	NOUN
fumecheng-7698	27	13	/	/	SYM
fumecheng-7698	27	14	interface	interface	NOUN
fumecheng-7698	27	15	energy	energy	NOUN
fumecheng-7698	27	16	approach	approach	NOUN
fumecheng-7698	27	17	is	be	AUX
fumecheng-7698	27	18	presented	present	VERB
fumecheng-7698	27	19	[	[	X
fumecheng-7698	27	20	19	19	NUM
fumecheng-7698	27	21	,	,	PUNCT
fumecheng-7698	27	22	20	20	NUM
fumecheng-7698	27	23	]	]	PUNCT
fumecheng-7698	27	24	.	.	PUNCT
fumecheng-7698	28	1	recently	recently	ADV
fumecheng-7698	28	2	,	,	PUNCT
fumecheng-7698	28	3	using	use	VERB
fumecheng-7698	28	4	surface	surface	NOUN
fumecheng-7698	28	5	effect	effect	NOUN
fumecheng-7698	28	6	,	,	PUNCT
fumecheng-7698	28	7	buckling	buckle	VERB
fumecheng-7698	28	8	and	and	CCONJ
fumecheng-7698	28	9	postbuckling	postbuckle	VERB
fumecheng-7698	28	10	analysis	analysis	NOUN
fumecheng-7698	28	11	and	and	CCONJ
fumecheng-7698	28	12	also	also	ADV
fumecheng-7698	28	13	vibration	vibration	NOUN
fumecheng-7698	28	14	behavior	behavior	NOUN
fumecheng-7698	28	15	of	of	ADP
fumecheng-7698	28	16	nano	nano	NOUN
fumecheng-7698	28	17	structures	structure	NOUN
fumecheng-7698	28	18	with	with	ADP
fumecheng-7698	28	19	piezoelectric	piezoelectric	ADJ
fumecheng-7698	28	20	layers	layer	NOUN
fumecheng-7698	28	21	are	be	AUX
fumecheng-7698	28	22	studied	study	VERB
fumecheng-7698	28	23	by	by	ADP
fumecheng-7698	28	24	fang	fang	PROPN
fumecheng-7698	28	25	et	et	PROPN
fumecheng-7698	28	26	al	al	PROPN
fumecheng-7698	28	27	.	.	PUNCT
fumecheng-7698	29	1	[	[	X
fumecheng-7698	29	2	21	21	NUM
fumecheng-7698	29	3	,	,	PUNCT
fumecheng-7698	29	4	22	22	NUM
fumecheng-7698	29	5	]	]	PUNCT
fumecheng-7698	29	6	.	.	PUNCT
fumecheng-7698	30	1	also	also	ADV
fumecheng-7698	30	2	,	,	PUNCT
fumecheng-7698	30	3	hashemi	hashemi	NOUN
fumecheng-7698	30	4	kachapi	kachapi	PROPN
fumecheng-7698	30	5	et	et	PROPN
fumecheng-7698	30	6	al	al	PROPN
fumecheng-7698	30	7	.	.	PROPN
fumecheng-7698	30	8	presented	present	VERB
fumecheng-7698	30	9	gurtin	gurtin	PROPN
fumecheng-7698	30	10	–	–	PUNCT
fumecheng-7698	30	11	murdoch	murdoch	PROPN
fumecheng-7698	30	12	surface	surface	NOUN
fumecheng-7698	30	13	/	/	SYM
fumecheng-7698	30	14	interface	interface	NOUN
fumecheng-7698	30	15	theory	theory	NOUN
fumecheng-7698	30	16	to	to	PART
fumecheng-7698	30	17	investigate	investigate	VERB
fumecheng-7698	30	18	linear	linear	NOUN
fumecheng-7698	30	19	and	and	CCONJ
fumecheng-7698	30	20	nonlinear	nonlinear	ADJ
fumecheng-7698	30	21	vibration	vibration	NOUN
fumecheng-7698	30	22	analysis	analysis	NOUN
fumecheng-7698	30	23	of	of	ADP
fumecheng-7698	30	24	piezoelectric	piezoelectric	ADJ
fumecheng-7698	30	25	nanostructures	nanostructure	NOUN
fumecheng-7698	30	26	[	[	X
fumecheng-7698	30	27	23	23	NUM
fumecheng-7698	30	28	-	-	SYM
fumecheng-7698	30	29	28	28	NUM
fumecheng-7698	30	30	]	]	PUNCT
fumecheng-7698	30	31	.	.	PUNCT
fumecheng-7698	31	1	in	in	ADP
fumecheng-7698	31	2	the	the	DET
fumecheng-7698	31	3	mentioned	mention	VERB
fumecheng-7698	31	4	papers	paper	NOUN
fumecheng-7698	31	5	,	,	PUNCT
fumecheng-7698	31	6	the	the	DET
fumecheng-7698	31	7	following	following	ADJ
fumecheng-7698	31	8	effects	effect	NOUN
fumecheng-7698	31	9	have	have	AUX
fumecheng-7698	31	10	been	be	AUX
fumecheng-7698	31	11	studied	study	VERB
fumecheng-7698	31	12	:	:	PUNCT
fumecheng-7698	31	13	the	the	DET
fumecheng-7698	31	14	effects	effect	NOUN
fumecheng-7698	31	15	of	of	ADP
fumecheng-7698	31	16	all	all	DET
fumecheng-7698	31	17	surface	surface	NOUN
fumecheng-7698	31	18	/	/	SYM
fumecheng-7698	31	19	interface	interface	NOUN
fumecheng-7698	31	20	energy	energy	NOUN
fumecheng-7698	31	21	parameters	parameter	NOUN
fumecheng-7698	31	22	;	;	PUNCT
fumecheng-7698	31	23	mechanical	mechanical	ADJ
fumecheng-7698	31	24	and	and	CCONJ
fumecheng-7698	31	25	structural	structural	ADJ
fumecheng-7698	31	26	properties	property	NOUN
fumecheng-7698	31	27	of	of	ADP
fumecheng-7698	31	28	nanostructures	nanostructure	NOUN
fumecheng-7698	31	29	and	and	CCONJ
fumecheng-7698	31	30	piezoelectric	piezoelectric	ADJ
fumecheng-7698	31	31	layers	layer	NOUN
fumecheng-7698	31	32	;	;	PUNCT
fumecheng-7698	31	33	van	van	PROPN
fumecheng-7698	31	34	der	der	NOUN
fumecheng-7698	31	35	waals	waal	NOUN
fumecheng-7698	31	36	force	force	NOUN
fumecheng-7698	31	37	;	;	PUNCT
fumecheng-7698	31	38	visco	visco	ADJ
fumecheng-7698	31	39	-	-	PUNCT
fumecheng-7698	31	40	pasternak	pasternak	ADJ
fumecheng-7698	31	41	effects	effect	NOUN
fumecheng-7698	31	42	on	on	ADP
fumecheng-7698	31	43	the	the	DET
fumecheng-7698	31	44	undamped	undampe	VERB
fumecheng-7698	31	45	and	and	CCONJ
fumecheng-7698	31	46	damped	damp	VERB
fumecheng-7698	31	47	natural	natural	ADJ
fumecheng-7698	31	48	frequencies	frequency	NOUN
fumecheng-7698	31	49	;	;	PUNCT
fumecheng-7698	31	50	parametric	parametric	ADJ
fumecheng-7698	31	51	studies	study	NOUN
fumecheng-7698	31	52	,	,	PUNCT
fumecheng-7698	31	53	such	such	ADJ
fumecheng-7698	31	54	as	as	ADP
fumecheng-7698	31	55	the	the	DET
fumecheng-7698	31	56	effects	effect	NOUN
fumecheng-7698	31	57	of	of	ADP
fumecheng-7698	31	58	different	different	ADJ
fumecheng-7698	31	59	boundary	boundary	ADJ
fumecheng-7698	31	60	conditions	condition	NOUN
fumecheng-7698	31	61	;	;	PUNCT
fumecheng-7698	31	62	different	different	ADJ
fumecheng-7698	31	63	geometric	geometric	ADJ
fumecheng-7698	31	64	ratios	ratio	NOUN
fumecheng-7698	31	65	;	;	PUNCT
fumecheng-7698	31	66	structural	structural	ADJ
fumecheng-7698	31	67	parameters	parameter	NOUN
fumecheng-7698	31	68	;	;	PUNCT
fumecheng-7698	31	69	electrostatic	electrostatic	ADJ
fumecheng-7698	31	70	and	and	CCONJ
fumecheng-7698	31	71	harmonic	harmonic	ADJ
fumecheng-7698	31	72	excitation	excitation	NOUN
fumecheng-7698	31	73	on	on	ADP
fumecheng-7698	31	74	the	the	DET
fumecheng-7698	31	75	nonlinear	nonlinear	ADJ
fumecheng-7698	31	76	frequency	frequency	NOUN
fumecheng-7698	31	77	response	response	NOUN
fumecheng-7698	31	78	and	and	CCONJ
fumecheng-7698	31	79	stability	stability	NOUN
fumecheng-7698	31	80	analysis	analysis	NOUN
fumecheng-7698	31	81	.	.	PUNCT
fumecheng-7698	32	1	fan	fan	PROPN
fumecheng-7698	32	2	utilized	utilize	VERB
fumecheng-7698	32	3	surface	surface	NOUN
fumecheng-7698	32	4	energy	energy	NOUN
fumecheng-7698	32	5	effects	effect	NOUN
fumecheng-7698	32	6	to	to	PART
fumecheng-7698	32	7	enlarge	enlarge	VERB
fumecheng-7698	32	8	the	the	DET
fumecheng-7698	32	9	capability	capability	NOUN
fumecheng-7698	32	10	of	of	ADP
fumecheng-7698	32	11	piezoelectric	piezoelectric	NOUN
fumecheng-7698	32	12	/	/	SYM
fumecheng-7698	32	13	piezomagnetic	piezomagnetic	ADJ
fumecheng-7698	32	14	energy	energy	NOUN
fumecheng-7698	32	15	harvester	harvester	NOUN
fumecheng-7698	32	16	[	[	X
fumecheng-7698	32	17	29	29	NUM
fumecheng-7698	32	18	]	]	PUNCT
fumecheng-7698	32	19	.	.	PUNCT
fumecheng-7698	33	1	despite	despite	SCONJ
fumecheng-7698	33	2	a	a	DET
fumecheng-7698	33	3	great	great	ADJ
fumecheng-7698	33	4	number	number	NOUN
fumecheng-7698	33	5	of	of	ADP
fumecheng-7698	33	6	researches	research	NOUN
fumecheng-7698	33	7	on	on	ADP
fumecheng-7698	33	8	nanosensors	nanosensor	NOUN
fumecheng-7698	33	9	dynamics	dynamic	NOUN
fumecheng-7698	33	10	and	and	CCONJ
fumecheng-7698	33	11	vibration	vibration	NOUN
fumecheng-7698	33	12	,	,	PUNCT
fumecheng-7698	33	13	consideration	consideration	NOUN
fumecheng-7698	33	14	of	of	ADP
fumecheng-7698	33	15	surface	surface	NOUN
fumecheng-7698	33	16	/	/	SYM
fumecheng-7698	33	17	interface	interface	NOUN
fumecheng-7698	33	18	energy	energy	NOUN
fumecheng-7698	33	19	effects	effect	NOUN
fumecheng-7698	33	20	on	on	ADP
fumecheng-7698	33	21	pull	pull	NOUN
fumecheng-7698	33	22	-	-	PUNCT
fumecheng-7698	33	23	in	in	ADP
fumecheng-7698	33	24	stability	stability	NOUN
fumecheng-7698	33	25	and	and	CCONJ
fumecheng-7698	33	26	vibration	vibration	NOUN
fumecheng-7698	33	27	analysis	analysis	NOUN
fumecheng-7698	33	28	of	of	ADP
fumecheng-7698	33	29	nanosensor	nanosensor	NOUN
fumecheng-7698	33	30	with	with	ADP
fumecheng-7698	33	31	piezoelectric	piezoelectric	ADJ
fumecheng-7698	33	32	layers	layer	NOUN
fumecheng-7698	33	33	and	and	CCONJ
fumecheng-7698	33	34	electrostatic	electrostatic	ADJ
fumecheng-7698	33	35	excitation	excitation	NOUN
fumecheng-7698	33	36	have	have	AUX
fumecheng-7698	33	37	not	not	PART
fumecheng-7698	33	38	been	be	AUX
fumecheng-7698	33	39	studied	study	VERB
fumecheng-7698	33	40	yet	yet	ADV
fumecheng-7698	33	41	.	.	PUNCT
fumecheng-7698	34	1	in	in	ADP
fumecheng-7698	34	2	the	the	DET
fumecheng-7698	34	3	present	present	ADJ
fumecheng-7698	34	4	study	study	NOUN
fumecheng-7698	34	5	,	,	PUNCT
fumecheng-7698	34	6	using	use	VERB
fumecheng-7698	34	7	arc	arc	NOUN
fumecheng-7698	34	8	-	-	PUNCT
fumecheng-7698	34	9	length	length	NOUN
fumecheng-7698	34	10	continuation	continuation	NOUN
fumecheng-7698	34	11	and	and	CCONJ
fumecheng-7698	34	12	complex	complex	ADJ
fumecheng-7698	34	13	averaging	averaging	NOUN
fumecheng-7698	34	14	method	method	NOUN
fumecheng-7698	34	15	[	[	X
fumecheng-7698	34	16	30	30	NUM
fumecheng-7698	34	17	]	]	PUNCT
fumecheng-7698	34	18	,	,	PUNCT
fumecheng-7698	34	19	pull	pull	NOUN
fumecheng-7698	34	20	-	-	PUNCT
fumecheng-7698	34	21	in	in	ADP
fumecheng-7698	34	22	instability	instability	NOUN
fumecheng-7698	34	23	behavior	behavior	NOUN
fumecheng-7698	34	24	of	of	ADP
fumecheng-7698	34	25	piezoelectric	piezoelectric	NOUN
fumecheng-7698	34	26	nanosensor	nanosensor	NOUN
fumecheng-7698	34	27	are	be	AUX
fumecheng-7698	34	28	studied	study	VERB
fumecheng-7698	34	29	on	on	ADP
fumecheng-7698	34	30	dimensionless	dimensionless	ADJ
fumecheng-7698	34	31	natural	natural	ADJ
fumecheng-7698	34	32	frequency	frequency	NOUN
fumecheng-7698	34	33	and	and	CCONJ
fumecheng-7698	34	34	nonlinear	nonlinear	ADJ
fumecheng-7698	34	35	dynamics	dynamic	NOUN
fumecheng-7698	34	36	response	response	NOUN
fumecheng-7698	34	37	considering	consider	VERB
fumecheng-7698	34	38	surface	surface	NOUN
fumecheng-7698	34	39	/	/	SYM
fumecheng-7698	34	40	interface	interface	NOUN
fumecheng-7698	34	41	energy	energy	NOUN
fumecheng-7698	34	42	effects	effect	NOUN
fumecheng-7698	34	43	.	.	PUNCT
fumecheng-7698	35	1	2	2	X
fumecheng-7698	35	2	.	.	X
fumecheng-7698	35	3	mathematical	mathematical	ADJ
fumecheng-7698	35	4	formulation	formulation	NOUN
fumecheng-7698	35	5	a	a	DET
fumecheng-7698	35	6	cylindrical	cylindrical	ADJ
fumecheng-7698	35	7	piezoelectric	piezoelectric	NOUN
fumecheng-7698	35	8	nanosensor	nanosensor	NOUN
fumecheng-7698	35	9	subjected	subject	VERB
fumecheng-7698	35	10	to	to	ADP
fumecheng-7698	35	11	the	the	DET
fumecheng-7698	35	12	combined	combine	VERB
fumecheng-7698	35	13	electrostatic	electrostatic	ADJ
fumecheng-7698	35	14	force	force	NOUN
fumecheng-7698	35	15	and	and	CCONJ
fumecheng-7698	35	16	harmonic	harmonic	ADJ
fumecheng-7698	35	17	excitation	excitation	NOUN
fumecheng-7698	35	18	is	be	AUX
fumecheng-7698	35	19	shown	show	VERB
fumecheng-7698	35	20	in	in	ADP
fumecheng-7698	35	21	fig	fig	NOUN
fumecheng-7698	35	22	.	.	PUNCT
fumecheng-7698	36	1	1	1	X
fumecheng-7698	36	2	.	.	PUNCT
fumecheng-7698	36	3	based	base	VERB
fumecheng-7698	36	4	on	on	ADP
fumecheng-7698	36	5	the	the	DET
fumecheng-7698	36	6	surface	surface	NOUN
fumecheng-7698	36	7	/	/	SYM
fumecheng-7698	36	8	interface	interface	NOUN
fumecheng-7698	36	9	effect	effect	NOUN
fumecheng-7698	36	10	of	of	ADP
fumecheng-7698	36	11	gurtin	gurtin	NOUN
fumecheng-7698	36	12	–	–	PUNCT
fumecheng-7698	36	13	murdoch	murdoch	PROPN
fumecheng-7698	36	14	theory	theory	NOUN
fumecheng-7698	36	15	,	,	PUNCT
fumecheng-7698	36	16	the	the	DET
fumecheng-7698	36	17	normal	normal	ADJ
fumecheng-7698	36	18	stresses	stress	NOUN
fumecheng-7698	36	19	𝜎𝑥𝑥	𝜎𝑥𝑥	NOUN
fumecheng-7698	36	20	and	and	CCONJ
fumecheng-7698	36	21	𝜎𝜃𝜃	𝜎𝜃𝜃	PROPN
fumecheng-7698	36	22	can	can	AUX
fumecheng-7698	36	23	be	be	AUX
fumecheng-7698	36	24	written	write	VERB
fumecheng-7698	36	25	as	as	ADP
fumecheng-7698	36	26	[	[	X
fumecheng-7698	36	27	19	19	NUM
fumecheng-7698	36	28	-	-	SYM
fumecheng-7698	36	29	26	26	NUM
fumecheng-7698	36	30	]	]	PUNCT
fumecheng-7698	36	31	𝜎𝑥𝑥(𝑁,𝑝	𝜎𝑥𝑥(𝑁,𝑝	X
fumecheng-7698	36	32	)	)	PUNCT
fumecheng-7698	36	33	=	=	SYM
fumecheng-7698	37	1	𝐶11(𝑁,𝑝)𝜀𝑥𝑥	𝐶11(𝑁,𝑝)𝜀𝑥𝑥	PROPN
fumecheng-7698	37	2	+	+	PUNCT
fumecheng-7698	37	3	𝐶12(𝑁,𝑝)𝜀𝜃𝜃	𝐶12(𝑁,𝑝)𝜀𝜃𝜃	PROPN
fumecheng-7698	37	4	−	−	PROPN
fumecheng-7698	37	5	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	37	6	�	�	NOUN
fumecheng-7698	37	7	̅	̅	NOUN
fumecheng-7698	37	8	�	�	NOUN
fumecheng-7698	37	9	𝑥𝑝	𝑥𝑝	NOUN
fumecheng-7698	37	10	+	+	NOUN
fumecheng-7698	37	11	𝜐(𝑁,𝑝)𝜎𝑧𝑧	𝜐(𝑁,𝑝)𝜎𝑧𝑧	ADJ
fumecheng-7698	37	12	1−𝜐(𝑁,𝑝	1−𝜐(𝑁,𝑝	NUM
fumecheng-7698	37	13	)	)	PUNCT
fumecheng-7698	37	14	(	(	PUNCT
fumecheng-7698	37	15	1	1	NUM
fumecheng-7698	37	16	)	)	PUNCT
fumecheng-7698	37	17	𝜎𝜃𝜃(𝑁,𝑝	𝜎𝜃𝜃(𝑁,𝑝	NUM
fumecheng-7698	37	18	)	)	PUNCT
fumecheng-7698	38	1	=	=	PUNCT
fumecheng-7698	38	2	𝐶21(𝑁,𝑝)𝜀𝑥𝑥	𝐶21(𝑁,𝑝)𝜀𝑥𝑥	X
fumecheng-7698	38	3	+	+	NOUN
fumecheng-7698	38	4	𝐶22(𝑁,𝑝)𝜀𝜃𝜃	𝐶22(𝑁,𝑝)𝜀𝜃𝜃	PROPN
fumecheng-7698	38	5	−	−	PRON
fumecheng-7698	38	6	𝑒32𝑝	𝑒32𝑝	NOUN
fumecheng-7698	38	7	�	�	NOUN
fumecheng-7698	38	8	̅	̅	NOUN
fumecheng-7698	38	9	�	�	NOUN
fumecheng-7698	38	10	𝜃𝑝	𝜃𝑝	PRON
fumecheng-7698	38	11	+	+	CCONJ
fumecheng-7698	38	12	𝜐(𝑁,𝑝)𝜎𝑧𝑧	𝜐(𝑁,𝑝)𝜎𝑧𝑧	ADJ
fumecheng-7698	38	13	1−𝜐(𝑁,𝑝	1−𝜐(𝑁,𝑝	NUM
fumecheng-7698	38	14	)	)	PUNCT
fumecheng-7698	38	15	,	,	PUNCT
fumecheng-7698	38	16	(	(	PUNCT
fumecheng-7698	38	17	2	2	X
fumecheng-7698	38	18	)	)	PUNCT
fumecheng-7698	38	19	𝜎𝑥𝜃(𝑁,𝑝	𝜎𝑥𝜃(𝑁,𝑝	NUM
fumecheng-7698	38	20	)	)	PUNCT
fumecheng-7698	38	21	=	=	SYM
fumecheng-7698	38	22	𝐶66(𝑁,𝑝)𝛾𝑥𝜃	𝐶66(𝑁,𝑝)𝛾𝑥𝜃	PROPN
fumecheng-7698	38	23	,	,	PUNCT
fumecheng-7698	38	24	(	(	PUNCT
fumecheng-7698	38	25	3	3	X
fumecheng-7698	38	26	)	)	PUNCT
fumecheng-7698	38	27	where	where	SCONJ
fumecheng-7698	38	28	based	base	VERB
fumecheng-7698	38	29	on	on	ADP
fumecheng-7698	38	30	nonclassical	nonclassical	ADJ
fumecheng-7698	38	31	continuum	continuum	ADJ
fumecheng-7698	38	32	model	model	NOUN
fumecheng-7698	38	33	,	,	PUNCT
fumecheng-7698	38	34	𝜎𝑧𝑧	𝜎𝑧𝑧	PROPN
fumecheng-7698	38	35	is	be	AUX
fumecheng-7698	38	36	expressed	express	VERB
fumecheng-7698	38	37	as	as	ADP
fumecheng-7698	38	38	following	follow	VERB
fumecheng-7698	38	39	https://www.sciencedirect.com/topics/engineering/resonators	https://www.sciencedirect.com/topics/engineering/resonator	NOUN
fumecheng-7698	38	40	https://www.sciencedirect.com/topics/engineering/harvesters	https://www.sciencedirect.com/topics/engineering/harvester	NOUN
fumecheng-7698	38	41	nonlinear	nonlinear	ADJ
fumecheng-7698	38	42	vibration	vibration	NOUN
fumecheng-7698	38	43	response	response	NOUN
fumecheng-7698	38	44	of	of	ADP
fumecheng-7698	38	45	piezoelectric	piezoelectric	ADJ
fumecheng-7698	38	46	nanosensor	nanosensor	NOUN
fumecheng-7698	38	47	:	:	PUNCT
fumecheng-7698	38	48	influences	influence	NOUN
fumecheng-7698	38	49	of	of	ADP
fumecheng-7698	38	50	surface	surface	NOUN
fumecheng-7698	38	51	/	/	SYM
fumecheng-7698	38	52	interface	interface	NOUN
fumecheng-7698	38	53	effects	effect	NOUN
fumecheng-7698	38	54	261	261	NUM
fumecheng-7698	38	55	𝜎𝑧𝑧	𝜎𝑧𝑧	NOUN
fumecheng-7698	38	56	=	=	SYM
fumecheng-7698	38	57	𝑧	𝑧	PRON
fumecheng-7698	38	58	ℎ𝑁+ℎ𝑝	ℎ𝑁+ℎ𝑝	NOUN
fumecheng-7698	38	59	(	(	PUNCT
fumecheng-7698	38	60	(	(	PUNCT
fumecheng-7698	38	61	𝜏0	𝜏0	PROPN
fumecheng-7698	38	62	𝑆	𝑆	PROPN
fumecheng-7698	38	63	+	+	CCONJ
fumecheng-7698	38	64	𝜏0	𝜏0	PROPN
fumecheng-7698	38	65	𝐼	𝐼	PROPN
fumecheng-7698	38	66	)	)	PUNCT
fumecheng-7698	38	67	(	(	PUNCT
fumecheng-7698	38	68	𝜕2𝑤	𝜕2𝑤	ADP
fumecheng-7698	38	69	𝜕𝑥2	𝜕𝑥2	NOUN
fumecheng-7698	38	70	+	+	CCONJ
fumecheng-7698	38	71	1	1	NUM
fumecheng-7698	38	72	𝑅2	𝑅2	NOUN
fumecheng-7698	38	73	𝜕2𝑤	𝜕2𝑤	ADP
fumecheng-7698	38	74	𝜕𝜃2	𝜕𝜃2	ADJ
fumecheng-7698	38	75	)	)	PUNCT
fumecheng-7698	38	76	−	−	PROPN
fumecheng-7698	39	1	(	(	PUNCT
fumecheng-7698	39	2	𝜌𝑆	𝜌𝑆	NOUN
fumecheng-7698	39	3	+	+	CCONJ
fumecheng-7698	39	4	𝜌𝐼	𝜌𝐼	NOUN
fumecheng-7698	39	5	)	)	PUNCT
fumecheng-7698	39	6	𝜕2𝑤	𝜕2𝑤	CCONJ
fumecheng-7698	39	7	𝜕𝑡2	𝜕𝑡2	NOUN
fumecheng-7698	39	8	)	)	PUNCT
fumecheng-7698	39	9	,	,	PUNCT
fumecheng-7698	39	10	(	(	PUNCT
fumecheng-7698	39	11	4	4	X
fumecheng-7698	39	12	)	)	PUNCT
fumecheng-7698	39	13	fig	fig	NOUN
fumecheng-7698	39	14	.	.	NOUN
fumecheng-7698	40	1	1	1	NUM
fumecheng-7698	40	2	piezo	piezo	ADJ
fumecheng-7698	40	3	-	-	ADJ
fumecheng-7698	40	4	harmoelectrostatic	harmoelectrostatic	ADJ
fumecheng-7698	40	5	nanosensor	nanosensor	NOUN
fumecheng-7698	40	6	subjected	subject	VERB
fumecheng-7698	40	7	to	to	ADP
fumecheng-7698	40	8	electrostatic	electrostatic	ADJ
fumecheng-7698	40	9	harmonic	harmonic	ADJ
fumecheng-7698	40	10	excitation	excitation	NOUN
fumecheng-7698	40	11	also	also	ADV
fumecheng-7698	40	12	all	all	DET
fumecheng-7698	40	13	coefficients	coefficient	NOUN
fumecheng-7698	40	14	and	and	CCONJ
fumecheng-7698	40	15	phrases	phrase	NOUN
fumecheng-7698	40	16	of	of	ADP
fumecheng-7698	40	17	eqs	eqs	PROPN
fumecheng-7698	40	18	.	.	PUNCT
fumecheng-7698	41	1	(	(	PUNCT
fumecheng-7698	41	2	1	1	NUM
fumecheng-7698	41	3	-	-	SYM
fumecheng-7698	41	4	4	4	NUM
fumecheng-7698	41	5	)	)	PUNCT
fumecheng-7698	41	6	such	such	ADJ
fumecheng-7698	41	7	as	as	ADP
fumecheng-7698	41	8	displacement	displacement	ADJ
fumecheng-7698	41	9	fields	field	NOUN
fumecheng-7698	41	10	,	,	PUNCT
fumecheng-7698	41	11	nonlinear	nonlinear	ADJ
fumecheng-7698	41	12	deflection	deflection	NOUN
fumecheng-7698	41	13	and	and	CCONJ
fumecheng-7698	41	14	curvatures	curvature	NOUN
fumecheng-7698	41	15	,	,	PUNCT
fumecheng-7698	41	16	relations	relation	NOUN
fumecheng-7698	41	17	of	of	ADP
fumecheng-7698	41	18	surface	surface	NOUN
fumecheng-7698	41	19	/	/	SYM
fumecheng-7698	41	20	interface	interface	NOUN
fumecheng-7698	41	21	theory	theory	NOUN
fumecheng-7698	41	22	and	and	CCONJ
fumecheng-7698	41	23	etc	etc	X
fumecheng-7698	41	24	.	.	X
fumecheng-7698	41	25	can	can	AUX
fumecheng-7698	41	26	be	be	AUX
fumecheng-7698	41	27	observed	observe	VERB
fumecheng-7698	41	28	in	in	ADP
fumecheng-7698	41	29	complete	complete	ADJ
fumecheng-7698	41	30	detail	detail	NOUN
fumecheng-7698	41	31	in	in	ADP
fumecheng-7698	41	32	reference	reference	NOUN
fumecheng-7698	41	33	[	[	X
fumecheng-7698	41	34	25	25	NUM
fumecheng-7698	41	35	]	]	PUNCT
fumecheng-7698	41	36	.	.	PUNCT
fumecheng-7698	42	1	by	by	ADP
fumecheng-7698	42	2	applying	apply	VERB
fumecheng-7698	42	3	the	the	DET
fumecheng-7698	42	4	assumed	assumed	ADJ
fumecheng-7698	42	5	mode	mode	NOUN
fumecheng-7698	42	6	and	and	CCONJ
fumecheng-7698	42	7	lagrange	lagrange	PROPN
fumecheng-7698	42	8	-	-	PUNCT
fumecheng-7698	42	9	euler	euler	NOUN
fumecheng-7698	42	10	approaches	approach	NOUN
fumecheng-7698	42	11	,	,	PUNCT
fumecheng-7698	42	12	the	the	DET
fumecheng-7698	42	13	governing	govern	VERB
fumecheng-7698	42	14	equations	equation	NOUN
fumecheng-7698	42	15	and	and	CCONJ
fumecheng-7698	42	16	boundary	boundary	ADJ
fumecheng-7698	42	17	conditions	condition	NOUN
fumecheng-7698	42	18	of	of	ADP
fumecheng-7698	42	19	pens	pen	NOUN
fumecheng-7698	42	20	are	be	AUX
fumecheng-7698	42	21	obtained	obtain	VERB
fumecheng-7698	42	22	.	.	PUNCT
fumecheng-7698	43	1	for	for	ADP
fumecheng-7698	43	2	this	this	DET
fumecheng-7698	43	3	purpose	purpose	NOUN
fumecheng-7698	43	4	,	,	PUNCT
fumecheng-7698	43	5	the	the	DET
fumecheng-7698	43	6	total	total	ADJ
fumecheng-7698	43	7	strain	strain	NOUN
fumecheng-7698	43	8	energy	energy	NOUN
fumecheng-7698	43	9	of	of	ADP
fumecheng-7698	43	10	pens	pen	NOUN
fumecheng-7698	43	11	considering	consider	VERB
fumecheng-7698	43	12	the	the	DET
fumecheng-7698	43	13	surface	surface	NOUN
fumecheng-7698	43	14	/	/	SYM
fumecheng-7698	43	15	interface	interface	NOUN
fumecheng-7698	43	16	effect	effect	NOUN
fumecheng-7698	43	17	can	can	AUX
fumecheng-7698	43	18	be	be	AUX
fumecheng-7698	43	19	presented	present	VERB
fumecheng-7698	43	20	as	as	ADP
fumecheng-7698	43	21	:	:	PUNCT
fumecheng-7698	43	22	𝜋	𝜋	NOUN
fumecheng-7698	43	23	=	=	NOUN
fumecheng-7698	43	24	1	1	NUM
fumecheng-7698	43	25	2	2	NUM
fumecheng-7698	43	26	∫	∫	NOUN
fumecheng-7698	43	27	∫	∫	PROPN
fumecheng-7698	43	28	{	{	PUNCT
fumecheng-7698	44	1	𝑁𝑥𝑥𝜀𝑥𝑥	𝑁𝑥𝑥𝜀𝑥𝑥	PROPN
fumecheng-7698	44	2	0	0	PUNCT
fumecheng-7698	45	1	+	+	CCONJ
fumecheng-7698	45	2	𝑁𝜃𝜃𝜀𝜃𝜃	𝑁𝜃𝜃𝜀𝜃𝜃	PROPN
fumecheng-7698	45	3	0	0	PUNCT
fumecheng-7698	46	1	+	+	CCONJ
fumecheng-7698	46	2	𝑁𝑥𝜃𝛾𝑥𝜃	𝑁𝑥𝜃𝛾𝑥𝜃	PROPN
fumecheng-7698	46	3	0	0	PUNCT
fumecheng-7698	47	1	+	+	CCONJ
fumecheng-7698	48	1	𝑀𝑥𝑥𝜅𝑥𝑥	𝑀𝑥𝑥𝜅𝑥𝑥	PROPN
fumecheng-7698	48	2	+	+	PROPN
fumecheng-7698	48	3	𝑀𝜃𝜃𝜅𝜃𝜃	𝑀𝜃𝜃𝜅𝜃𝜃	PROPN
fumecheng-7698	48	4	+	+	PUNCT
fumecheng-7698	48	5	𝑀𝑥𝜃𝜅𝑥𝜃	𝑀𝑥𝜃𝜅𝑥𝜃	PROPN
fumecheng-7698	48	6	+	+	CCONJ
fumecheng-7698	48	7	𝜂33	𝜂33	PROPN
fumecheng-7698	48	8	�	�	NOUN
fumecheng-7698	48	9	̅	̅	NOUN
fumecheng-7698	48	10	�	�	NOUN
fumecheng-7698	48	11	𝑧𝑝	𝑧𝑝	ADP
fumecheng-7698	48	12	2	2	NUM
fumecheng-7698	48	13	ℎ𝑝	ℎ𝑝	PRON
fumecheng-7698	48	14	}	}	PUNCT
fumecheng-7698	48	15	2𝜋	2𝜋	NOUN
fumecheng-7698	48	16	0	0	X
fumecheng-7698	48	17	𝐿	𝐿	NOUN
fumecheng-7698	48	18	0	0	X
fumecheng-7698	48	19	𝑅𝑑𝜃𝑑𝑥	𝑅𝑑𝜃𝑑𝑥	PROPN
fumecheng-7698	48	20	(	(	PUNCT
fumecheng-7698	48	21	5	5	NUM
fumecheng-7698	48	22	)	)	PUNCT
fumecheng-7698	48	23	in	in	ADP
fumecheng-7698	48	24	eq	eq	ADP
fumecheng-7698	48	25	.	.	PUNCT
fumecheng-7698	48	26	(	(	PUNCT
fumecheng-7698	48	27	5	5	NUM
fumecheng-7698	48	28	)	)	PUNCT
fumecheng-7698	48	29	,	,	PUNCT
fumecheng-7698	48	30	the	the	DET
fumecheng-7698	48	31	forces	force	NOUN
fumecheng-7698	48	32	(	(	PUNCT
fumecheng-7698	48	33	𝑁	𝑁	NOUN
fumecheng-7698	48	34	)	)	PUNCT
fumecheng-7698	48	35	and	and	CCONJ
fumecheng-7698	48	36	moment	moment	NOUN
fumecheng-7698	48	37	(	(	PUNCT
fumecheng-7698	48	38	𝑀	𝑀	PROPN
fumecheng-7698	48	39	)	)	PUNCT
fumecheng-7698	48	40	resultants	resultant	NOUN
fumecheng-7698	48	41	are	be	AUX
fumecheng-7698	48	42	determined	determine	VERB
fumecheng-7698	48	43	in	in	ADP
fumecheng-7698	48	44	reference	reference	NOUN
fumecheng-7698	48	45	hashemi	hashemi	PROPN
fumecheng-7698	48	46	kachapi	kachapi	PROPN
fumecheng-7698	48	47	et	et	PROPN
fumecheng-7698	48	48	al	al	PROPN
fumecheng-7698	48	49	.	.	PUNCT
fumecheng-7698	49	1	[	[	X
fumecheng-7698	49	2	25	25	NUM
fumecheng-7698	49	3	]	]	PUNCT
fumecheng-7698	49	4	.	.	PUNCT
fumecheng-7698	50	1	the	the	DET
fumecheng-7698	50	2	kinetic	kinetic	ADJ
fumecheng-7698	50	3	energy	energy	NOUN
fumecheng-7698	50	4	of	of	ADP
fumecheng-7698	50	5	the	the	DET
fumecheng-7698	50	6	pens	pen	NOUN
fumecheng-7698	50	7	can	can	AUX
fumecheng-7698	50	8	be	be	AUX
fumecheng-7698	50	9	written	write	VERB
fumecheng-7698	50	10	as	as	ADP
fumecheng-7698	50	11	:	:	PUNCT
fumecheng-7698	50	12	𝑇	𝑇	NOUN
fumecheng-7698	50	13	=	=	SYM
fumecheng-7698	50	14	1	1	NUM
fumecheng-7698	50	15	2	2	NUM
fumecheng-7698	50	16	∬	∬	NOUN
fumecheng-7698	50	17	{	{	PUNCT
fumecheng-7698	50	18	𝐼	𝐼	PROPN
fumecheng-7698	50	19	(	(	PUNCT
fumecheng-7698	50	20	(	(	PUNCT
fumecheng-7698	50	21	𝜕𝑢	𝜕𝑢	NOUN
fumecheng-7698	50	22	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-7698	50	23	)	)	PUNCT
fumecheng-7698	50	24	2	2	NUM
fumecheng-7698	51	1	+	+	CCONJ
fumecheng-7698	51	2	(	(	PUNCT
fumecheng-7698	51	3	𝜕𝑣	𝜕𝑣	PROPN
fumecheng-7698	51	4	𝜕𝑡	𝜕𝑡	PROPN
fumecheng-7698	51	5	)	)	PUNCT
fumecheng-7698	51	6	2	2	NUM
fumecheng-7698	52	1	+	+	CCONJ
fumecheng-7698	52	2	(	(	PUNCT
fumecheng-7698	52	3	𝜕𝑤	𝜕𝑤	VERB
fumecheng-7698	52	4	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-7698	52	5	)	)	PUNCT
fumecheng-7698	52	6	2	2	NUM
fumecheng-7698	52	7	)	)	PUNCT
fumecheng-7698	52	8	}	}	PUNCT
fumecheng-7698	53	1	𝑅𝑑𝜃𝑑𝑥	𝑅𝑑𝜃𝑑𝑥	PROPN
fumecheng-7698	53	2	(	(	PUNCT
fumecheng-7698	53	3	6	6	NUM
fumecheng-7698	53	4	)	)	PUNCT
fumecheng-7698	53	5	where	where	SCONJ
fumecheng-7698	53	6	𝐼	𝐼	PROPN
fumecheng-7698	53	7	=	=	PUNCT
fumecheng-7698	53	8	∫	∫	PROPN
fumecheng-7698	53	9	𝜌𝑁	𝜌𝑁	PROPN
fumecheng-7698	53	10	ℎ𝑁	ℎ𝑁	PROPN
fumecheng-7698	53	11	−ℎ𝑁	−ℎ𝑁	PROPN
fumecheng-7698	53	12	𝑑𝑧	𝑑𝑧	PROPN
fumecheng-7698	53	13	+	+	CCONJ
fumecheng-7698	53	14	∫	∫	PROPN
fumecheng-7698	53	15	𝜌𝑝	𝜌𝑝	NOUN
fumecheng-7698	53	16	−ℎ𝑁	−ℎ𝑁	NOUN
fumecheng-7698	53	17	−ℎ𝑁−ℎ𝑝	−ℎ𝑁−ℎ𝑝	PROPN
fumecheng-7698	53	18	𝑑𝑧	𝑑𝑧	PROPN
fumecheng-7698	53	19	+	+	CCONJ
fumecheng-7698	53	20	∫	∫	PROPN
fumecheng-7698	53	21	𝜌𝑝	𝜌𝑝	NOUN
fumecheng-7698	53	22	ℎ𝑁+ℎ𝑝	ℎ𝑁+ℎ𝑝	PROPN
fumecheng-7698	53	23	ℎ𝑁	ℎ𝑁	PROPN
fumecheng-7698	53	24	𝑑𝑧	𝑑𝑧	PROPN
fumecheng-7698	53	25	+	+	CCONJ
fumecheng-7698	53	26	𝜌𝑆,𝐼	𝜌𝑆,𝐼	NOUN
fumecheng-7698	53	27	=	=	SYM
fumecheng-7698	53	28	2𝜌𝑁ℎ𝑁	2𝜌𝑁ℎ𝑁	NUM
fumecheng-7698	53	29	+	+	NUM
fumecheng-7698	54	1	2𝜌𝑝ℎ𝑝	2𝜌𝑝ℎ𝑝	NUM
fumecheng-7698	54	2	+	+	SYM
fumecheng-7698	54	3	2𝜌𝑆	2𝜌𝑆	NUM
fumecheng-7698	54	4	+	+	SYM
fumecheng-7698	54	5	2𝜌𝐼	2𝜌𝐼	NOUN
fumecheng-7698	54	6	also	also	ADV
fumecheng-7698	54	7	,	,	PUNCT
fumecheng-7698	54	8	the	the	DET
fumecheng-7698	54	9	work	work	NOUN
fumecheng-7698	54	10	done	do	VERB
fumecheng-7698	54	11	on	on	ADP
fumecheng-7698	54	12	the	the	DET
fumecheng-7698	54	13	pens	pen	NOUN
fumecheng-7698	54	14	due	due	ADP
fumecheng-7698	54	15	to	to	ADP
fumecheng-7698	54	16	the	the	DET
fumecheng-7698	54	17	viscoelastic	viscoelastic	PROPN
fumecheng-7698	54	18	foundation	foundation	PROPN
fumecheng-7698	54	19	,	,	PUNCT
fumecheng-7698	54	20	nonlinear	nonlinear	ADJ
fumecheng-7698	54	21	electrostatic	electrostatic	ADJ
fumecheng-7698	54	22	excitation	excitation	NOUN
fumecheng-7698	54	23	and	and	CCONJ
fumecheng-7698	54	24	the	the	DET
fumecheng-7698	54	25	harmonic	harmonic	ADJ
fumecheng-7698	54	26	force	force	NOUN
fumecheng-7698	54	27	,	,	PUNCT
fumecheng-7698	54	28	respectively	respectively	ADV
fumecheng-7698	54	29	,	,	PUNCT
fumecheng-7698	54	30	can	can	AUX
fumecheng-7698	54	31	be	be	AUX
fumecheng-7698	54	32	presented	present	VERB
fumecheng-7698	54	33	as	as	ADP
fumecheng-7698	54	34	[	[	X
fumecheng-7698	54	35	25	25	NUM
fumecheng-7698	54	36	]	]	SYM
fumecheng-7698	54	37	262	262	NUM
fumecheng-7698	54	38	s.	s.	PROPN
fumecheng-7698	54	39	h.	h.	PROPN
fumecheng-7698	54	40	h.	h.	PROPN
fumecheng-7698	54	41	kachapi	kachapi	PROPN
fumecheng-7698	55	1	𝑊𝑣𝑚	𝑊𝑣𝑚	PROPN
fumecheng-7698	55	2	=	=	PUNCT
fumecheng-7698	55	3	−	−	PROPN
fumecheng-7698	55	4	∫	∫	PROPN
fumecheng-7698	55	5	∫	∫	PROPN
fumecheng-7698	55	6	∫	∫	PROPN
fumecheng-7698	55	7	(	(	PUNCT
fumecheng-7698	55	8	𝐾𝑤𝑤	𝐾𝑤𝑤	PROPN
fumecheng-7698	55	9	−	−	PROPN
fumecheng-7698	55	10	𝐾𝑝∇2𝑤	𝐾𝑝∇2𝑤	NOUN
fumecheng-7698	56	1	+	+	CCONJ
fumecheng-7698	56	2	𝐶𝑤	𝐶𝑤	NOUN
fumecheng-7698	56	3	𝜕𝑤	𝜕𝑤	VERB
fumecheng-7698	56	4	𝜕𝑡	𝜕𝑡	NOUN
fumecheng-7698	56	5	)	)	PUNCT
fumecheng-7698	56	6	𝑑𝑤	𝑑𝑤	PROPN
fumecheng-7698	56	7	𝑤	𝑤	ADP
fumecheng-7698	56	8	0	0	NUM
fumecheng-7698	56	9	2𝜋	2𝜋	NOUN
fumecheng-7698	56	10	0	0	PUNCT
fumecheng-7698	57	1	𝐿	𝐿	PROPN
fumecheng-7698	57	2	0	0	NUM
fumecheng-7698	57	3	𝑅𝑑𝜃𝑑𝑥	𝑅𝑑𝜃𝑑𝑥	PROPN
fumecheng-7698	57	4	,	,	PUNCT
fumecheng-7698	57	5	(	(	PUNCT
fumecheng-7698	57	6	7	7	X
fumecheng-7698	57	7	)	)	PUNCT
fumecheng-7698	58	1	𝑊𝑒	𝑊𝑒	NOUN
fumecheng-7698	58	2	=	=	SYM
fumecheng-7698	58	3	∫	∫	PROPN
fumecheng-7698	58	4	∫	∫	PROPN
fumecheng-7698	58	5	∫	∫	PROPN
fumecheng-7698	58	6	𝜋υ𝑉𝐷𝐶	𝜋υ𝑉𝐷𝐶	PROPN
fumecheng-7698	58	7	2	2	NUM
fumecheng-7698	58	8	√(𝑏−𝑤)(2𝑅+𝑏−𝑤)[𝑐𝑜𝑠ℎ−1(1	√(𝑏−𝑤)(2𝑅+𝑏−𝑤)[𝑐𝑜𝑠ℎ−1(1	ADJ
fumecheng-7698	58	9	+	+	X
fumecheng-7698	58	10	𝑏−𝑤	𝑏−𝑤	NOUN
fumecheng-7698	58	11	𝑅	𝑅	PROPN
fumecheng-7698	58	12	)	)	PUNCT
fumecheng-7698	58	13	]	]	PUNCT
fumecheng-7698	58	14	2	2	NUM
fumecheng-7698	58	15	𝑑𝑤	𝑑𝑤	NOUN
fumecheng-7698	58	16	𝑤	𝑤	ADP
fumecheng-7698	58	17	0	0	NUM
fumecheng-7698	58	18	2𝜋	2𝜋	NOUN
fumecheng-7698	58	19	0	0	PUNCT
fumecheng-7698	59	1	𝐿	𝐿	NOUN
fumecheng-7698	59	2	0	0	X
fumecheng-7698	59	3	𝑅𝑑𝜃𝑑𝑥	𝑅𝑑𝜃𝑑𝑥	PROPN
fumecheng-7698	59	4	(	(	PUNCT
fumecheng-7698	59	5	8)	8)	NUM
fumecheng-7698	59	6	𝑊𝑓	𝑊𝑓	PROPN
fumecheng-7698	59	7	=	=	SYM
fumecheng-7698	59	8	∫	∫	PROPN
fumecheng-7698	59	9	∫	∫	PROPN
fumecheng-7698	59	10	∫	∫	PROPN
fumecheng-7698	59	11	(	(	PUNCT
fumecheng-7698	59	12	𝑓𝑐𝑜𝑠𝜔𝑡)𝑑𝑤	𝑓𝑐𝑜𝑠𝜔𝑡)𝑑𝑤	NOUN
fumecheng-7698	59	13	𝑤	𝑤	ADP
fumecheng-7698	59	14	0	0	NUM
fumecheng-7698	59	15	2𝜋	2𝜋	NOUN
fumecheng-7698	59	16	0	0	PUNCT
fumecheng-7698	59	17	𝐿	𝐿	PROPN
fumecheng-7698	59	18	0	0	NUM
fumecheng-7698	59	19	𝑅𝑑𝜃𝑑𝑥	𝑅𝑑𝜃𝑑𝑥	PROPN
fumecheng-7698	59	20	,	,	PUNCT
fumecheng-7698	59	21	(	(	PUNCT
fumecheng-7698	59	22	9	9	NUM
fumecheng-7698	59	23	)	)	PUNCT
fumecheng-7698	59	24	where	where	SCONJ
fumecheng-7698	59	25	all	all	DET
fumecheng-7698	59	26	coefficients	coefficient	NOUN
fumecheng-7698	59	27	and	and	CCONJ
fumecheng-7698	59	28	phrases	phrase	NOUN
fumecheng-7698	59	29	of	of	ADP
fumecheng-7698	59	30	eqs	eqs	PROPN
fumecheng-7698	59	31	.	.	PUNCT
fumecheng-7698	59	32	(	(	PUNCT
fumecheng-7698	59	33	7	7	NUM
fumecheng-7698	59	34	-	-	SYM
fumecheng-7698	59	35	9	9	NUM
fumecheng-7698	59	36	)	)	PUNCT
fumecheng-7698	59	37	can	can	AUX
fumecheng-7698	59	38	be	be	AUX
fumecheng-7698	59	39	seen	see	VERB
fumecheng-7698	59	40	in	in	ADP
fumecheng-7698	59	41	reference	reference	NOUN
fumecheng-7698	59	42	[	[	X
fumecheng-7698	59	43	25	25	NUM
fumecheng-7698	59	44	]	]	PUNCT
fumecheng-7698	59	45	.	.	PUNCT
fumecheng-7698	60	1	by	by	ADP
fumecheng-7698	60	2	applying	apply	VERB
fumecheng-7698	60	3	of	of	ADP
fumecheng-7698	60	4	hamilton	hamilton	PROPN
fumecheng-7698	60	5	’s	’s	PART
fumecheng-7698	60	6	principle	principle	NOUN
fumecheng-7698	60	7	and	and	CCONJ
fumecheng-7698	60	8	substituting	substitute	VERB
fumecheng-7698	60	9	eqs	eqs	PROPN
fumecheng-7698	60	10	.	.	PUNCT
fumecheng-7698	61	1	(	(	PUNCT
fumecheng-7698	61	2	5	5	NUM
fumecheng-7698	61	3	-	-	SYM
fumecheng-7698	61	4	9	9	NUM
fumecheng-7698	61	5	)	)	PUNCT
fumecheng-7698	61	6	into	into	ADP
fumecheng-7698	61	7	hamilton	hamilton	PROPN
fumecheng-7698	61	8	’s	’s	PART
fumecheng-7698	61	9	principle	principle	NOUN
fumecheng-7698	61	10	and	and	CCONJ
fumecheng-7698	61	11	using	use	VERB
fumecheng-7698	61	12	dimensional	dimensional	ADJ
fumecheng-7698	61	13	parameters	parameter	NOUN
fumecheng-7698	61	14	[	[	X
fumecheng-7698	61	15	25	25	NUM
fumecheng-7698	61	16	]	]	PUNCT
fumecheng-7698	61	17	,	,	PUNCT
fumecheng-7698	61	18	the	the	DET
fumecheng-7698	61	19	governing	govern	VERB
fumecheng-7698	61	20	equations	equation	NOUN
fumecheng-7698	61	21	of	of	ADP
fumecheng-7698	61	22	motion	motion	NOUN
fumecheng-7698	61	23	and	and	CCONJ
fumecheng-7698	61	24	boundary	boundary	ADJ
fumecheng-7698	61	25	conditions	condition	NOUN
fumecheng-7698	61	26	for	for	ADP
fumecheng-7698	61	27	pens	pen	NOUN
fumecheng-7698	61	28	are	be	AUX
fumecheng-7698	61	29	obtained	obtain	VERB
fumecheng-7698	61	30	.	.	PUNCT
fumecheng-7698	62	1	in	in	ADP
fumecheng-7698	62	2	following	follow	VERB
fumecheng-7698	62	3	using	use	VERB
fumecheng-7698	62	4	least	least	ADJ
fumecheng-7698	62	5	-	-	PUNCT
fumecheng-7698	62	6	squares	square	NOUN
fumecheng-7698	62	7	polynomial	polynomial	ADJ
fumecheng-7698	62	8	format	format	NOUN
fumecheng-7698	62	9	of	of	ADP
fumecheng-7698	62	10	electrostatic	electrostatic	ADJ
fumecheng-7698	62	11	force	force	NOUN
fumecheng-7698	62	12	and	and	CCONJ
fumecheng-7698	62	13	by	by	ADP
fumecheng-7698	62	14	using	use	VERB
fumecheng-7698	62	15	the	the	DET
fumecheng-7698	62	16	displacement	displacement	NOUN
fumecheng-7698	62	17	and	and	CCONJ
fumecheng-7698	62	18	shear	shear	ADJ
fumecheng-7698	62	19	deformation	deformation	NOUN
fumecheng-7698	62	20	in	in	ADP
fumecheng-7698	62	21	the	the	DET
fumecheng-7698	62	22	assumed	assumed	ADJ
fumecheng-7698	62	23	mode	mode	NOUN
fumecheng-7698	62	24	method	method	NOUN
fumecheng-7698	62	25	and	and	CCONJ
fumecheng-7698	62	26	by	by	ADP
fumecheng-7698	62	27	applying	apply	VERB
fumecheng-7698	62	28	non	non	ADJ
fumecheng-7698	62	29	-	-	ADJ
fumecheng-7698	62	30	dimensional	dimensional	ADJ
fumecheng-7698	62	31	strain	strain	NOUN
fumecheng-7698	62	32	and	and	CCONJ
fumecheng-7698	62	33	kinetic	kinetic	ADJ
fumecheng-7698	62	34	energies	energy	NOUN
fumecheng-7698	62	35	eqs	eqs	X
fumecheng-7698	62	36	.	.	PUNCT
fumecheng-7698	63	1	(	(	PUNCT
fumecheng-7698	63	2	5	5	NUM
fumecheng-7698	63	3	)	)	PUNCT
fumecheng-7698	63	4	and	and	CCONJ
fumecheng-7698	63	5	(	(	PUNCT
fumecheng-7698	63	6	6	6	NUM
fumecheng-7698	63	7	)	)	PUNCT
fumecheng-7698	63	8	and	and	CCONJ
fumecheng-7698	63	9	also	also	ADV
fumecheng-7698	63	10	non	non	ADJ
fumecheng-7698	63	11	-	-	ADJ
fumecheng-7698	63	12	dimensional	dimensional	ADJ
fumecheng-7698	63	13	works	work	NOUN
fumecheng-7698	63	14	eqs	eqs	X
fumecheng-7698	63	15	.	.	PUNCT
fumecheng-7698	64	1	(	(	PUNCT
fumecheng-7698	64	2	7	7	NUM
fumecheng-7698	64	3	-	-	SYM
fumecheng-7698	64	4	9	9	NUM
fumecheng-7698	64	5	)	)	PUNCT
fumecheng-7698	64	6	and	and	CCONJ
fumecheng-7698	64	7	substituting	substitute	VERB
fumecheng-7698	64	8	in	in	ADP
fumecheng-7698	64	9	the	the	DET
fumecheng-7698	64	10	lagrange	lagrange	NOUN
fumecheng-7698	64	11	-	-	PUNCT
fumecheng-7698	64	12	euler	euler	NOUN
fumecheng-7698	64	13	equations	equation	NOUN
fumecheng-7698	64	14	,	,	PUNCT
fumecheng-7698	64	15	the	the	DET
fumecheng-7698	64	16	dimensionless	dimensionless	NOUN
fumecheng-7698	64	17	equations	equation	NOUN
fumecheng-7698	64	18	of	of	ADP
fumecheng-7698	64	19	motion	motion	NOUN
fumecheng-7698	64	20	is	be	AUX
fumecheng-7698	64	21	obtained	obtain	VERB
fumecheng-7698	64	22	to	to	ADP
fumecheng-7698	64	23	the	the	DET
fumecheng-7698	64	24	following	follow	VERB
fumecheng-7698	64	25	equations	equation	NOUN
fumecheng-7698	64	26	:	:	PUNCT
fumecheng-7698	65	1	[	[	X
fumecheng-7698	65	2	(	(	PUNCT
fumecheng-7698	65	3	𝑀)𝑢	𝑀)𝑢	ADJ
fumecheng-7698	65	4	𝑢]{	𝑢]{	NOUN
fumecheng-7698	65	5	�	�	PROPN
fumecheng-7698	65	6	̈̅	̈̅	PROPN
fumecheng-7698	65	7	�	�	PROPN
fumecheng-7698	65	8	}	}	PUNCT
fumecheng-7698	65	9	+	+	CCONJ
fumecheng-7698	66	1	[	[	X
fumecheng-7698	66	2	(	(	PUNCT
fumecheng-7698	66	3	𝐾)𝑢	𝐾)𝑢	DET
fumecheng-7698	66	4	𝑢]{	𝑢]{	PROPN
fumecheng-7698	66	5	�	�	PROPN
fumecheng-7698	66	6	̅	̅	NOUN
fumecheng-7698	66	7	�	�	NOUN
fumecheng-7698	66	8	}	}	PUNCT
fumecheng-7698	66	9	+	+	CCONJ
fumecheng-7698	67	1	[	[	X
fumecheng-7698	67	2	(	(	PUNCT
fumecheng-7698	67	3	𝐾)𝑢	𝐾)𝑢	NOUN
fumecheng-7698	67	4	𝑣	𝑣	X
fumecheng-7698	67	5	]	]	X
fumecheng-7698	67	6	{	{	PUNCT
fumecheng-7698	67	7	�	�	NOUN
fumecheng-7698	67	8	̅	̅	NOUN
fumecheng-7698	67	9	�	�	NOUN
fumecheng-7698	67	10	}	}	PUNCT
fumecheng-7698	67	11	+	+	CCONJ
fumecheng-7698	68	1	[	[	X
fumecheng-7698	68	2	(	(	PUNCT
fumecheng-7698	68	3	𝐾)𝑢	𝐾)𝑢	PRON
fumecheng-7698	68	4	𝑤]{	𝑤]{	NOUN
fumecheng-7698	68	5	�	�	PROPN
fumecheng-7698	68	6	̅	̅	NOUN
fumecheng-7698	68	7	�	�	NOUN
fumecheng-7698	68	8	}	}	PUNCT
fumecheng-7698	68	9	+	+	CCONJ
fumecheng-7698	68	10	[	[	X
fumecheng-7698	68	11	(	(	PUNCT
fumecheng-7698	68	12	𝑁𝐿)𝑢	𝑁𝐿)𝑢	PRON
fumecheng-7698	68	13	𝑤]{	𝑤]{	PROPN
fumecheng-7698	68	14	�	�	PROPN
fumecheng-7698	68	15	̅	̅	NOUN
fumecheng-7698	68	16	�	�	NOUN
fumecheng-7698	68	17	2	2	NUM
fumecheng-7698	68	18	}	}	PUNCT
fumecheng-7698	68	19	=	=	SYM
fumecheng-7698	68	20	�	�	NOUN
fumecheng-7698	68	21	̅	̅	NOUN
fumecheng-7698	68	22	�	�	NOUN
fumecheng-7698	68	23	𝑢𝑝	𝑢𝑝	NOUN
fumecheng-7698	68	24	,	,	PUNCT
fumecheng-7698	68	25	(	(	PUNCT
fumecheng-7698	68	26	10	10	NUM
fumecheng-7698	68	27	)	)	PUNCT
fumecheng-7698	69	1	[	[	X
fumecheng-7698	69	2	(	(	PUNCT
fumecheng-7698	69	3	𝑀)𝑣	𝑀)𝑣	X
fumecheng-7698	69	4	𝑣]{	𝑣]{	NOUN
fumecheng-7698	69	5	�	�	PROPN
fumecheng-7698	69	6	̈̅	̈̅	NOUN
fumecheng-7698	69	7	�	�	PROPN
fumecheng-7698	69	8	}	}	PUNCT
fumecheng-7698	69	9	+	+	CCONJ
fumecheng-7698	70	1	[	[	X
fumecheng-7698	70	2	(	(	PUNCT
fumecheng-7698	70	3	𝐾)𝑣	𝐾)𝑣	PROPN
fumecheng-7698	70	4	𝑢]{	𝑢]{	PROPN
fumecheng-7698	70	5	�	�	PROPN
fumecheng-7698	70	6	̅	̅	NOUN
fumecheng-7698	70	7	�	�	NOUN
fumecheng-7698	70	8	}	}	PUNCT
fumecheng-7698	70	9	+	+	CCONJ
fumecheng-7698	70	10	[	[	X
fumecheng-7698	70	11	(	(	PUNCT
fumecheng-7698	70	12	𝐾)𝑣	𝐾)𝑣	X
fumecheng-7698	70	13	𝑣]{𝑣	𝑣]{𝑣	X
fumecheng-7698	70	14	}	}	PUNCT
fumecheng-7698	70	15	+	+	CCONJ
fumecheng-7698	70	16	[	[	X
fumecheng-7698	70	17	(	(	PUNCT
fumecheng-7698	70	18	𝐾)𝑣	𝐾)𝑣	ADJ
fumecheng-7698	70	19	𝑤]{	𝑤]{	NOUN
fumecheng-7698	70	20	�	�	PROPN
fumecheng-7698	70	21	̅	̅	NOUN
fumecheng-7698	70	22	�	�	NOUN
fumecheng-7698	70	23	}	}	PUNCT
fumecheng-7698	70	24	+	+	CCONJ
fumecheng-7698	71	1	[	[	X
fumecheng-7698	71	2	(	(	PUNCT
fumecheng-7698	71	3	𝑁𝐿)𝑣	𝑁𝐿)𝑣	NOUN
fumecheng-7698	71	4	𝑤]{	𝑤]{	NOUN
fumecheng-7698	71	5	�	�	PROPN
fumecheng-7698	71	6	̅	̅	NOUN
fumecheng-7698	71	7	�	�	NOUN
fumecheng-7698	71	8	2	2	NUM
fumecheng-7698	71	9	}	}	PUNCT
fumecheng-7698	71	10	=	=	SYM
fumecheng-7698	71	11	�	�	NOUN
fumecheng-7698	71	12	̅	̅	NOUN
fumecheng-7698	71	13	�	�	NOUN
fumecheng-7698	71	14	𝑣𝑝	𝑣𝑝	NOUN
fumecheng-7698	71	15	,	,	PUNCT
fumecheng-7698	71	16	(	(	PUNCT
fumecheng-7698	71	17	11	11	NUM
fumecheng-7698	71	18	)	)	PUNCT
fumecheng-7698	72	1	[	[	X
fumecheng-7698	72	2	(	(	PUNCT
fumecheng-7698	72	3	𝑀)𝑤	𝑀)𝑤	ADP
fumecheng-7698	72	4	𝑤]{	𝑤]{	PRON
fumecheng-7698	72	5	�	�	PROPN
fumecheng-7698	72	6	̈̅	̈̅	NOUN
fumecheng-7698	72	7	�	�	PROPN
fumecheng-7698	72	8	}	}	PUNCT
fumecheng-7698	72	9	+	+	CCONJ
fumecheng-7698	72	10	[	[	X
fumecheng-7698	72	11	(	(	PUNCT
fumecheng-7698	72	12	𝑐)𝑤	𝑐)𝑤	X
fumecheng-7698	72	13	𝑤]{	𝑤]{	NOUN
fumecheng-7698	72	14	�	�	PROPN
fumecheng-7698	72	15	̇̅	̇̅	PROPN
fumecheng-7698	72	16	�	�	PROPN
fumecheng-7698	72	17	}	}	PUNCT
fumecheng-7698	73	1	+	+	CCONJ
fumecheng-7698	73	2	[	[	X
fumecheng-7698	73	3	(	(	PUNCT
fumecheng-7698	73	4	𝐾)𝑤	𝐾)𝑤	NOUN
fumecheng-7698	73	5	𝑢	𝑢	X
fumecheng-7698	73	6	]	]	X
fumecheng-7698	73	7	{	{	PUNCT
fumecheng-7698	73	8	�	�	NOUN
fumecheng-7698	73	9	̅	̅	NOUN
fumecheng-7698	73	10	�	�	NOUN
fumecheng-7698	73	11	}	}	PUNCT
fumecheng-7698	73	12	+	+	CCONJ
fumecheng-7698	73	13	[	[	X
fumecheng-7698	73	14	(	(	PUNCT
fumecheng-7698	73	15	𝐾)𝑤	𝐾)𝑤	ADJ
fumecheng-7698	73	16	𝑣	𝑣	X
fumecheng-7698	73	17	]	]	X
fumecheng-7698	73	18	{	{	PUNCT
fumecheng-7698	73	19	�	�	NOUN
fumecheng-7698	73	20	̅	̅	NOUN
fumecheng-7698	73	21	�	�	NOUN
fumecheng-7698	73	22	}	}	PUNCT
fumecheng-7698	73	23	+	+	CCONJ
fumecheng-7698	73	24	[	[	X
fumecheng-7698	73	25	(	(	PUNCT
fumecheng-7698	73	26	𝐾)𝑤	𝐾)𝑤	ADV
fumecheng-7698	73	27	𝑤	𝑤	ADP
fumecheng-7698	73	28	−	−	PRON
fumecheng-7698	73	29	�	�	NOUN
fumecheng-7698	73	30	̅	̅	NOUN
fumecheng-7698	73	31	�	�	NOUN
fumecheng-7698	73	32	𝑒2(𝐾𝑒)𝑤	𝑒2(𝐾𝑒)𝑤	NOUN
fumecheng-7698	73	33	𝑤]{	𝑤]{	PROPN
fumecheng-7698	73	34	�	�	PROPN
fumecheng-7698	73	35	̅	̅	NOUN
fumecheng-7698	73	36	�	�	NOUN
fumecheng-7698	73	37	}	}	PUNCT
fumecheng-7698	73	38	+	+	PROPN
fumecheng-7698	73	39	[	[	X
fumecheng-7698	73	40	(	(	PUNCT
fumecheng-7698	73	41	𝑁𝐿)𝑤	𝑁𝐿)𝑤	NOUN
fumecheng-7698	73	42	𝑢	𝑢	X
fumecheng-7698	73	43	]	]	X
fumecheng-7698	73	44	{	{	PUNCT
fumecheng-7698	73	45	�	�	NOUN
fumecheng-7698	73	46	̅	̅	NOUN
fumecheng-7698	73	47	�	�	NOUN
fumecheng-7698	73	48	�	�	NOUN
fumecheng-7698	73	49	̅	̅	NOUN
fumecheng-7698	73	50	�	�	NOUN
fumecheng-7698	73	51	}	}	PUNCT
fumecheng-7698	73	52	+	+	CCONJ
fumecheng-7698	74	1	[	[	X
fumecheng-7698	74	2	(	(	PUNCT
fumecheng-7698	74	3	𝑁𝐿)𝑤	𝑁𝐿)𝑤	NOUN
fumecheng-7698	74	4	𝑣	𝑣	X
fumecheng-7698	74	5	]	]	X
fumecheng-7698	74	6	{	{	PUNCT
fumecheng-7698	74	7	�	�	NOUN
fumecheng-7698	74	8	̅	̅	NOUN
fumecheng-7698	74	9	�	�	NOUN
fumecheng-7698	74	10	�	�	NOUN
fumecheng-7698	74	11	̅	̅	NOUN
fumecheng-7698	74	12	�	�	NOUN
fumecheng-7698	74	13	}	}	PUNCT
fumecheng-7698	74	14	+	+	CCONJ
fumecheng-7698	74	15	[	[	X
fumecheng-7698	74	16	(	(	PUNCT
fumecheng-7698	74	17	𝑁𝐿)𝑤2	𝑁𝐿)𝑤2	PROPN
fumecheng-7698	74	18	𝑤	𝑤	ADP
fumecheng-7698	74	19	−	−	PRON
fumecheng-7698	74	20	�	�	NOUN
fumecheng-7698	74	21	̅	̅	NOUN
fumecheng-7698	74	22	�	�	NOUN
fumecheng-7698	74	23	𝑒3(𝑁𝐿2𝑒)𝑤	𝑒3(𝑁𝐿2𝑒)𝑤	NOUN
fumecheng-7698	74	24	𝑤]{	𝑤]{	NOUN
fumecheng-7698	74	25	�	�	PROPN
fumecheng-7698	74	26	̅	̅	NOUN
fumecheng-7698	74	27	�	�	NOUN
fumecheng-7698	74	28	2	2	NUM
fumecheng-7698	74	29	}	}	PUNCT
fumecheng-7698	74	30	(	(	PUNCT
fumecheng-7698	74	31	12	12	NUM
fumecheng-7698	74	32	)	)	PUNCT
fumecheng-7698	74	33	+	+	NOUN
fumecheng-7698	74	34	[	[	X
fumecheng-7698	74	35	(	(	PUNCT
fumecheng-7698	74	36	𝑁𝐿)𝑤3	𝑁𝐿)𝑤3	PROPN
fumecheng-7698	74	37	𝑤	𝑤	ADP
fumecheng-7698	74	38	−	−	NOUN
fumecheng-7698	74	39	�	�	NOUN
fumecheng-7698	74	40	̅	̅	NOUN
fumecheng-7698	74	41	�	�	NOUN
fumecheng-7698	74	42	𝑒4(𝑁𝐿3𝑒)𝑤	𝑒4(𝑁𝐿3𝑒)𝑤	NUM
fumecheng-7698	74	43	𝑤]{	𝑤]{	NOUN
fumecheng-7698	74	44	�	�	NOUN
fumecheng-7698	74	45	̅	̅	NOUN
fumecheng-7698	74	46	�	�	NOUN
fumecheng-7698	74	47	3	3	NUM
fumecheng-7698	74	48	}	}	PUNCT
fumecheng-7698	74	49	=	=	PUNCT
fumecheng-7698	74	50	�	�	NOUN
fumecheng-7698	74	51	̅	̅	NOUN
fumecheng-7698	74	52	�	�	NOUN
fumecheng-7698	74	53	𝑤𝑒	𝑤𝑒	PROPN
fumecheng-7698	74	54	+	+	NUM
fumecheng-7698	74	55	�	�	PROPN
fumecheng-7698	74	56	̅	̅	NOUN
fumecheng-7698	74	57	�	�	NOUN
fumecheng-7698	74	58	𝑤𝑝	𝑤𝑝	NOUN
fumecheng-7698	74	59	+	+	CCONJ
fumecheng-7698	74	60	[	[	X
fumecheng-7698	74	61	�	�	NOUN
fumecheng-7698	74	62	̅	̅	NOUN
fumecheng-7698	74	63	�	�	NOUN
fumecheng-7698	74	64	𝑐𝑜𝑠ω̅𝜏	𝑐𝑜𝑠ω̅𝜏	NOUN
fumecheng-7698	74	65	]	]	NOUN
fumecheng-7698	74	66	,	,	PUNCT
fumecheng-7698	74	67	where	where	SCONJ
fumecheng-7698	74	68	all	all	DET
fumecheng-7698	74	69	the	the	DET
fumecheng-7698	74	70	coefficients	coefficient	NOUN
fumecheng-7698	74	71	and	and	CCONJ
fumecheng-7698	74	72	phrases	phrase	NOUN
fumecheng-7698	74	73	of	of	ADP
fumecheng-7698	74	74	eqs	eqs	PROPN
fumecheng-7698	74	75	.	.	PUNCT
fumecheng-7698	75	1	(	(	PUNCT
fumecheng-7698	75	2	10	10	NUM
fumecheng-7698	75	3	-	-	SYM
fumecheng-7698	75	4	12	12	NUM
fumecheng-7698	75	5	)	)	PUNCT
fumecheng-7698	75	6	are	be	AUX
fumecheng-7698	75	7	presented	present	VERB
fumecheng-7698	75	8	in	in	ADP
fumecheng-7698	75	9	reference	reference	NOUN
fumecheng-7698	75	10	[	[	X
fumecheng-7698	75	11	25	25	NUM
fumecheng-7698	75	12	]	]	PUNCT
fumecheng-7698	75	13	.	.	PUNCT
fumecheng-7698	76	1	in	in	ADP
fumecheng-7698	76	2	order	order	NOUN
fumecheng-7698	76	3	to	to	PART
fumecheng-7698	76	4	study	study	VERB
fumecheng-7698	76	5	the	the	DET
fumecheng-7698	76	6	nonlinear	nonlinear	ADJ
fumecheng-7698	76	7	dynamics	dynamic	NOUN
fumecheng-7698	76	8	response	response	NOUN
fumecheng-7698	76	9	,	,	PUNCT
fumecheng-7698	76	10	arc	arc	NOUN
fumecheng-7698	76	11	-	-	PUNCT
fumecheng-7698	76	12	length	length	NOUN
fumecheng-7698	76	13	continuation	continuation	NOUN
fumecheng-7698	76	14	and	and	CCONJ
fumecheng-7698	76	15	complex	complex	ADJ
fumecheng-7698	76	16	averaging	averaging	NOUN
fumecheng-7698	76	17	approaches	approach	NOUN
fumecheng-7698	76	18	are	be	AUX
fumecheng-7698	76	19	presented	present	VERB
fumecheng-7698	76	20	[	[	PUNCT
fumecheng-7698	76	21	25	25	NUM
fumecheng-7698	76	22	-	-	SYM
fumecheng-7698	76	23	26	26	NUM
fumecheng-7698	76	24	,	,	PUNCT
fumecheng-7698	76	25	28	28	NUM
fumecheng-7698	76	26	]	]	PUNCT
fumecheng-7698	76	27	.	.	PUNCT
fumecheng-7698	77	1	verification	verification	NOUN
fumecheng-7698	77	2	,	,	PUNCT
fumecheng-7698	77	3	comparison	comparison	NOUN
fumecheng-7698	77	4	and	and	CCONJ
fumecheng-7698	77	5	convergence	convergence	NOUN
fumecheng-7698	77	6	study	study	NOUN
fumecheng-7698	77	7	is	be	AUX
fumecheng-7698	77	8	investigated	investigate	VERB
fumecheng-7698	77	9	in	in	ADP
fumecheng-7698	77	10	reference	reference	NOUN
fumecheng-7698	77	11	hashemi	hashemi	PROPN
fumecheng-7698	77	12	kachapi	kachapi	PROPN
fumecheng-7698	77	13	et	et	PROPN
fumecheng-7698	77	14	al	al	PROPN
fumecheng-7698	77	15	.	.	PROPN
fumecheng-7698	77	16	with	with	ADP
fumecheng-7698	77	17	full	full	ADJ
fumecheng-7698	77	18	details	detail	NOUN
fumecheng-7698	77	19	for	for	ADP
fumecheng-7698	77	20	pens	pen	NOUN
fumecheng-7698	78	1	[	[	X
fumecheng-7698	78	2	25	25	NUM
fumecheng-7698	78	3	]	]	PUNCT
fumecheng-7698	78	4	.	.	PUNCT
fumecheng-7698	79	1	in	in	ADP
fumecheng-7698	79	2	this	this	DET
fumecheng-7698	79	3	section	section	NOUN
fumecheng-7698	79	4	,	,	PUNCT
fumecheng-7698	79	5	pull	pull	NOUN
fumecheng-7698	79	6	-	-	PUNCT
fumecheng-7698	79	7	in	in	ADP
fumecheng-7698	79	8	instability	instability	NOUN
fumecheng-7698	79	9	analysis	analysis	NOUN
fumecheng-7698	79	10	on	on	ADP
fumecheng-7698	79	11	dimensionless	dimensionless	ADJ
fumecheng-7698	79	12	natural	natural	ADJ
fumecheng-7698	79	13	frequency	frequency	NOUN
fumecheng-7698	79	14	and	and	CCONJ
fumecheng-7698	79	15	nonlinear	nonlinear	ADJ
fumecheng-7698	79	16	dynamics	dynamic	NOUN
fumecheng-7698	79	17	response	response	NOUN
fumecheng-7698	79	18	are	be	AUX
fumecheng-7698	79	19	presented	present	VERB
fumecheng-7698	79	20	.	.	PUNCT
fumecheng-7698	80	1	for	for	ADP
fumecheng-7698	80	2	this	this	DET
fumecheng-7698	80	3	purpose	purpose	NOUN
fumecheng-7698	80	4	,	,	PUNCT
fumecheng-7698	80	5	different	different	ADJ
fumecheng-7698	80	6	boundary	boundary	ADJ
fumecheng-7698	80	7	condition	condition	NOUN
fumecheng-7698	80	8	such	such	ADJ
fumecheng-7698	80	9	as	as	ADP
fumecheng-7698	80	10	clamped	clamp	VERB
fumecheng-7698	80	11	edge	edge	NOUN
fumecheng-7698	80	12	(	(	PUNCT
fumecheng-7698	80	13	cc	cc	NOUN
fumecheng-7698	80	14	)	)	PUNCT
fumecheng-7698	80	15	,	,	PUNCT
fumecheng-7698	80	16	simply	simply	ADV
fumecheng-7698	80	17	supported	support	VERB
fumecheng-7698	80	18	edge	edge	NOUN
fumecheng-7698	80	19	(	(	PUNCT
fumecheng-7698	80	20	ss	ss	NOUN
fumecheng-7698	80	21	)	)	PUNCT
fumecheng-7698	80	22	,	,	PUNCT
fumecheng-7698	80	23	clamped	clamp	VERB
fumecheng-7698	80	24	-	-	PUNCT
fumecheng-7698	80	25	simply	simply	ADV
fumecheng-7698	80	26	supported	support	VERB
fumecheng-7698	80	27	edge	edge	NOUN
fumecheng-7698	80	28	(	(	PUNCT
fumecheng-7698	80	29	cs	cs	PROPN
fumecheng-7698	80	30	)	)	PUNCT
fumecheng-7698	80	31	and	and	CCONJ
fumecheng-7698	80	32	,	,	PUNCT
fumecheng-7698	80	33	clamped	clamp	VERB
fumecheng-7698	80	34	-	-	PUNCT
fumecheng-7698	80	35	free	free	ADJ
fumecheng-7698	80	36	edge	edge	NOUN
fumecheng-7698	80	37	(	(	PUNCT
fumecheng-7698	80	38	cf	cf	NOUN
fumecheng-7698	80	39	)	)	PUNCT
fumecheng-7698	80	40	are	be	AUX
fumecheng-7698	80	41	presented	present	VERB
fumecheng-7698	80	42	.	.	PUNCT
fumecheng-7698	81	1	3	3	X
fumecheng-7698	81	2	.	.	X
fumecheng-7698	81	3	results	result	NOUN
fumecheng-7698	81	4	and	and	CCONJ
fumecheng-7698	81	5	discussions	discussion	NOUN
fumecheng-7698	81	6	the	the	DET
fumecheng-7698	81	7	bulk	bulk	NOUN
fumecheng-7698	81	8	and	and	CCONJ
fumecheng-7698	81	9	surface	surface	NOUN
fumecheng-7698	81	10	/	/	SYM
fumecheng-7698	81	11	interface	interface	NOUN
fumecheng-7698	81	12	material	material	NOUN
fumecheng-7698	81	13	properties	property	NOUN
fumecheng-7698	81	14	of	of	ADP
fumecheng-7698	81	15	aluminum	aluminum	NOUN
fumecheng-7698	81	16	(	(	PUNCT
fumecheng-7698	81	17	al	al	PROPN
fumecheng-7698	81	18	)	)	PUNCT
fumecheng-7698	81	19	nanoshell	nanoshell	NOUN
fumecheng-7698	81	20	and	and	CCONJ
fumecheng-7698	81	21	pzt	pzt	ADJ
fumecheng-7698	81	22	piezoelectric	piezoelectric	NOUN
fumecheng-7698	81	23	layer	layer	NOUN
fumecheng-7698	81	24	are	be	AUX
fumecheng-7698	81	25	shown	show	VERB
fumecheng-7698	81	26	in	in	ADP
fumecheng-7698	81	27	tables	table	NOUN
fumecheng-7698	81	28	1	1	NUM
fumecheng-7698	81	29	and	and	CCONJ
fumecheng-7698	81	30	2	2	NUM
fumecheng-7698	81	31	,	,	PUNCT
fumecheng-7698	81	32	respectively	respectively	ADV
fumecheng-7698	81	33	[	[	X
fumecheng-7698	81	34	24	24	NUM
fumecheng-7698	81	35	]	]	PUNCT
fumecheng-7698	81	36	.	.	PUNCT
fumecheng-7698	82	1	table	table	NOUN
fumecheng-7698	82	2	1	1	NUM
fumecheng-7698	82	3	1	1	NUM
fumecheng-7698	82	4	bulk	bulk	NOUN
fumecheng-7698	82	5	and	and	CCONJ
fumecheng-7698	82	6	surface	surface	NOUN
fumecheng-7698	82	7	/	/	SYM
fumecheng-7698	82	8	interface	interface	NOUN
fumecheng-7698	82	9	properties	property	NOUN
fumecheng-7698	82	10	of	of	ADP
fumecheng-7698	82	11	al	al	PROPN
fumecheng-7698	82	12	𝐸𝑁(𝐺𝑃𝑎	𝐸𝑁(𝐺𝑃𝑎	PROPN
fumecheng-7698	82	13	)	)	PUNCT
fumecheng-7698	82	14	𝜐𝑁	𝜐𝑁	VERB
fumecheng-7698	82	15	𝜌𝑁(𝑘𝑔/	𝜌𝑁(𝑘𝑔/	DET
fumecheng-7698	82	16	𝑚3	𝑚3	NOUN
fumecheng-7698	82	17	)	)	PUNCT
fumecheng-7698	82	18	𝜆𝐼(𝑁	𝜆𝐼(𝑁	PUNCT
fumecheng-7698	83	1	𝑚⁄	𝑚⁄	CCONJ
fumecheng-7698	83	2	)	)	PUNCT
fumecheng-7698	83	3	𝜇𝐼(𝑁	𝜇𝐼(𝑁	PROPN
fumecheng-7698	83	4	𝑚⁄	𝑚⁄	PROPN
fumecheng-7698	84	1	)	)	PUNCT
fumecheng-7698	84	2	𝜏0	𝜏0	PROPN
fumecheng-7698	84	3	𝐼	𝐼	PROPN
fumecheng-7698	84	4	(	(	PUNCT
fumecheng-7698	84	5	𝑁	𝑁	PROPN
fumecheng-7698	84	6	𝑚⁄	𝑚⁄	PROPN
fumecheng-7698	84	7	)	)	PUNCT
fumecheng-7698	84	8	𝜌𝐼(𝑘𝑔	𝜌𝐼(𝑘𝑔	PROPN
fumecheng-7698	84	9	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	84	10	)	)	PUNCT
fumecheng-7698	84	11	70	70	NUM
fumecheng-7698	84	12	0.33	0.33	NUM
fumecheng-7698	84	13	2700	2700	NUM
fumecheng-7698	84	14	3.786	3.786	NUM
fumecheng-7698	84	15	1.95	1.95	NUM
fumecheng-7698	84	16	0.9108	0.9108	NUM
fumecheng-7698	84	17	5.46	5.46	NUM
fumecheng-7698	84	18	×	×	NOUN
fumecheng-7698	84	19	10−7	10−7	NUM
fumecheng-7698	84	20	nonlinear	nonlinear	ADJ
fumecheng-7698	84	21	vibration	vibration	NOUN
fumecheng-7698	84	22	response	response	NOUN
fumecheng-7698	84	23	of	of	ADP
fumecheng-7698	84	24	piezoelectric	piezoelectric	ADJ
fumecheng-7698	84	25	nanosensor	nanosensor	NOUN
fumecheng-7698	84	26	:	:	PUNCT
fumecheng-7698	84	27	influences	influence	NOUN
fumecheng-7698	84	28	of	of	ADP
fumecheng-7698	84	29	surface	surface	NOUN
fumecheng-7698	84	30	/	/	SYM
fumecheng-7698	84	31	interface	interface	NOUN
fumecheng-7698	84	32	effects	effect	NOUN
fumecheng-7698	84	33	263	263	NUM
fumecheng-7698	84	34	table	table	NOUN
fumecheng-7698	84	35	2	2	NUM
fumecheng-7698	84	36	bulk	bulk	NOUN
fumecheng-7698	84	37	and	and	CCONJ
fumecheng-7698	84	38	surface	surface	NOUN
fumecheng-7698	84	39	/	/	SYM
fumecheng-7698	84	40	interface	interface	NOUN
fumecheng-7698	84	41	properties	property	NOUN
fumecheng-7698	84	42	of	of	ADP
fumecheng-7698	84	43	pzt-4	pzt-4	NOUN
fumecheng-7698	84	44	𝐶11𝑝(𝐺𝑃𝑎	𝐶11𝑝(𝐺𝑃𝑎	ADJ
fumecheng-7698	84	45	)	)	PUNCT
fumecheng-7698	84	46	𝐶22𝑝(𝐺𝑃𝑎	𝐶22𝑝(𝐺𝑃𝑎	ADJ
fumecheng-7698	84	47	)	)	PUNCT
fumecheng-7698	84	48	𝐶12𝑝(𝐺𝑃𝑎	𝐶12𝑝(𝐺𝑃𝑎	ADJ
fumecheng-7698	84	49	)	)	PUNCT
fumecheng-7698	84	50	𝐶21𝑝(𝐺𝑃𝑎	𝐶21𝑝(𝐺𝑃𝑎	ADJ
fumecheng-7698	84	51	)	)	PUNCT
fumecheng-7698	84	52	𝐶66𝑝(𝐺𝑃𝑎	𝐶66𝑝(𝐺𝑃𝑎	NOUN
fumecheng-7698	84	53	)	)	PUNCT
fumecheng-7698	84	54	𝐸𝑝(𝐺𝑃𝑎	𝐸𝑝(𝐺𝑃𝑎	VERB
fumecheng-7698	84	55	)	)	PUNCT
fumecheng-7698	84	56	139	139	NUM
fumecheng-7698	84	57	139	139	NUM
fumecheng-7698	84	58	77.8	77.8	NUM
fumecheng-7698	84	59	77.8	77.8	NUM
fumecheng-7698	84	60	30.5	30.5	NUM
fumecheng-7698	84	61	95	95	NUM
fumecheng-7698	84	62	𝜐𝑝	𝜐𝑝	NOUN
fumecheng-7698	84	63	𝜌𝑝(𝑘𝑔	𝜌𝑝(𝑘𝑔	NOUN
fumecheng-7698	84	64	𝑚−3	𝑚−3	NUM
fumecheng-7698	84	65	)	)	PUNCT
fumecheng-7698	84	66	𝜂33𝑝(10−8	𝜂33𝑝(10−8	PROPN
fumecheng-7698	84	67	𝐹	𝐹	PROPN
fumecheng-7698	84	68	𝑚⁄	𝑚⁄	PROPN
fumecheng-7698	84	69	)	)	PUNCT
fumecheng-7698	84	70	𝜆𝑆(𝑁	𝜆𝑆(𝑁	PROPN
fumecheng-7698	85	1	𝑚⁄	𝑚⁄	ADV
fumecheng-7698	85	2	)	)	PUNCT
fumecheng-7698	85	3	𝜇𝑆(𝑁	𝜇𝑆(𝑁	PROPN
fumecheng-7698	85	4	𝑚⁄	𝑚⁄	PROPN
fumecheng-7698	85	5	)	)	PUNCT
fumecheng-7698	85	6	𝜏0	𝜏0	PROPN
fumecheng-7698	85	7	𝑆(𝑁	𝑆(𝑁	PROPN
fumecheng-7698	85	8	𝑚⁄	𝑚⁄	PART
fumecheng-7698	85	9	)	)	PUNCT
fumecheng-7698	85	10	0.3	0.3	NUM
fumecheng-7698	85	11	7500	7500	NUM
fumecheng-7698	85	12	8.91	8.91	NUM
fumecheng-7698	85	13	4.488	4.488	NUM
fumecheng-7698	85	14	2.774	2.774	NUM
fumecheng-7698	85	15	0.6048	0.6048	NUM
fumecheng-7698	85	16	𝑒31𝑝(𝐶	𝑒31𝑝(𝐶	NOUN
fumecheng-7698	85	17	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	85	18	)	)	PUNCT
fumecheng-7698	85	19	𝑒32𝑝(𝐶	𝑒32𝑝(𝐶	NOUN
fumecheng-7698	85	20	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	85	21	)	)	PUNCT
fumecheng-7698	85	22	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	86	1	𝑆	𝑆	PROPN
fumecheng-7698	86	2	(	(	PUNCT
fumecheng-7698	86	3	𝐶	𝐶	PROPN
fumecheng-7698	86	4	𝑚⁄	𝑚⁄	X
fumecheng-7698	86	5	)	)	PUNCT
fumecheng-7698	86	6	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	86	7	𝑆	𝑆	PROPN
fumecheng-7698	86	8	(	(	PUNCT
fumecheng-7698	86	9	𝐶	𝐶	PROPN
fumecheng-7698	86	10	𝑚⁄	𝑚⁄	PROPN
fumecheng-7698	86	11	)	)	PUNCT
fumecheng-7698	86	12	𝜌𝑆(𝑘𝑔	𝜌𝑆(𝑘𝑔	PROPN
fumecheng-7698	86	13	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	86	14	)	)	PUNCT
fumecheng-7698	87	1	−5.2	−5.2	PROPN
fumecheng-7698	87	2	−5.2	−5.2	NOUN
fumecheng-7698	87	3	−3	−3	PROPN
fumecheng-7698	88	1	×	×	NOUN
fumecheng-7698	88	2	10−8	10−8	NUM
fumecheng-7698	88	3	−3	−3	ADJ
fumecheng-7698	88	4	×	×	NOUN
fumecheng-7698	88	5	10−8	10−8	NUM
fumecheng-7698	88	6	5.61	5.61	NUM
fumecheng-7698	88	7	×	×	NOUN
fumecheng-7698	88	8	10−6	10−6	NUM
fumecheng-7698	88	9	the	the	DET
fumecheng-7698	88	10	others	other	NOUN
fumecheng-7698	88	11	geometrical	geometrical	ADJ
fumecheng-7698	88	12	and	and	CCONJ
fumecheng-7698	88	13	physical	physical	ADJ
fumecheng-7698	88	14	parameters	parameter	NOUN
fumecheng-7698	88	15	of	of	ADP
fumecheng-7698	88	16	pens	pen	NOUN
fumecheng-7698	88	17	are	be	AUX
fumecheng-7698	88	18	presented	present	VERB
fumecheng-7698	88	19	in	in	ADP
fumecheng-7698	88	20	table	table	NOUN
fumecheng-7698	88	21	3	3	NUM
fumecheng-7698	88	22	[	[	X
fumecheng-7698	88	23	24	24	NUM
fumecheng-7698	88	24	,	,	PUNCT
fumecheng-7698	88	25	25	25	NUM
fumecheng-7698	88	26	]	]	PUNCT
fumecheng-7698	88	27	.	.	PUNCT
fumecheng-7698	89	1	table	table	NOUN
fumecheng-7698	89	2	3	3	NUM
fumecheng-7698	89	3	the	the	DET
fumecheng-7698	89	4	geometrical	geometrical	ADJ
fumecheng-7698	89	5	and	and	CCONJ
fumecheng-7698	89	6	physical	physical	ADJ
fumecheng-7698	89	7	parameters	parameter	NOUN
fumecheng-7698	89	8	𝑅(𝑚	𝑅(𝑚	NOUN
fumecheng-7698	89	9	)	)	PUNCT
fumecheng-7698	89	10	𝐿	𝐿	PROPN
fumecheng-7698	89	11	𝑅⁄	𝑅⁄	PROPN
fumecheng-7698	89	12	ℎ𝑁	ℎ𝑁	PROPN
fumecheng-7698	89	13	𝑅⁄	𝑅⁄	PROPN
fumecheng-7698	89	14	ℎ𝑝	ℎ𝑝	DET
fumecheng-7698	89	15	𝑅⁄	𝑅⁄	PROPN
fumecheng-7698	89	16	𝑏	𝑏	PROPN
fumecheng-7698	89	17	𝑅⁄	𝑅⁄	PROPN
fumecheng-7698	89	18	𝐶𝑤(𝑁.	𝐶𝑤(𝑁.	PUNCT
fumecheng-7698	89	19	𝑆	𝑆	PROPN
fumecheng-7698	89	20	𝑚⁄	𝑚⁄	PROPN
fumecheng-7698	89	21	)	)	PUNCT
fumecheng-7698	89	22	1	1	NUM
fumecheng-7698	89	23	×	×	NOUN
fumecheng-7698	89	24	10−9	10−9	NUM
fumecheng-7698	89	25	10	10	NUM
fumecheng-7698	89	26	0.01	0.01	NUM
fumecheng-7698	89	27	0.005	0.005	NUM
fumecheng-7698	89	28	0.1	0.1	NUM
fumecheng-7698	89	29	1	1	NUM
fumecheng-7698	89	30	×	×	PROPN
fumecheng-7698	89	31	10−3	10−3	NUM
fumecheng-7698	89	32	𝐾𝑤(𝑁	𝐾𝑤(𝑁	PUNCT
fumecheng-7698	89	33	𝑚3⁄	𝑚3⁄	PROPN
fumecheng-7698	89	34	)	)	PUNCT
fumecheng-7698	89	35	𝐾𝑝(𝑁	𝐾𝑝(𝑁	PUNCT
fumecheng-7698	90	1	𝑚⁄	𝑚⁄	CCONJ
fumecheng-7698	90	2	)	)	PUNCT
fumecheng-7698	90	3	𝑉𝑝(𝑉	𝑉𝑝(𝑉	NOUN
fumecheng-7698	90	4	)	)	PUNCT
fumecheng-7698	90	5	𝑉0	𝑉0	NOUN
fumecheng-7698	90	6	𝑉𝐷𝐶(𝑉	𝑉𝐷𝐶(𝑉	NOUN
fumecheng-7698	90	7	)	)	PUNCT
fumecheng-7698	90	8	𝑉𝐴𝐶(𝑉	𝑉𝐴𝐶(𝑉	NOUN
fumecheng-7698	90	9	)	)	PUNCT
fumecheng-7698	90	10	8.999503	8.999503	NUM
fumecheng-7698	90	11	×	×	NOUN
fumecheng-7698	90	12	1017	1017	NUM
fumecheng-7698	90	13	2.071273	2.071273	NUM
fumecheng-7698	90	14	1	1	NUM
fumecheng-7698	90	15	×	×	NOUN
fumecheng-7698	90	16	10−2	10−2	NUM
fumecheng-7698	90	17	1	1	NUM
fumecheng-7698	90	18	2	2	NUM
fumecheng-7698	90	19	1	1	NUM
fumecheng-7698	90	20	3.1	3.1	NUM
fumecheng-7698	90	21	.	.	PUNCT
fumecheng-7698	90	22	surface	surface	NOUN
fumecheng-7698	90	23	/	/	SYM
fumecheng-7698	90	24	interface	interface	NOUN
fumecheng-7698	90	25	effects	effect	NOUN
fumecheng-7698	90	26	on	on	ADP
fumecheng-7698	90	27	pull	pull	NOUN
fumecheng-7698	90	28	-	-	PUNCT
fumecheng-7698	90	29	in	in	ADP
fumecheng-7698	90	30	instability	instability	NOUN
fumecheng-7698	90	31	in	in	ADP
fumecheng-7698	90	32	current	current	ADJ
fumecheng-7698	90	33	section	section	NOUN
fumecheng-7698	90	34	,	,	PUNCT
fumecheng-7698	90	35	the	the	DET
fumecheng-7698	90	36	surface	surface	NOUN
fumecheng-7698	90	37	/	/	SYM
fumecheng-7698	90	38	interface	interface	NOUN
fumecheng-7698	90	39	parameters	parameter	NOUN
fumecheng-7698	90	40	effect	effect	NOUN
fumecheng-7698	90	41	of	of	ADP
fumecheng-7698	90	42	piezoelectric	piezoelectric	NOUN
fumecheng-7698	90	43	nanosensor	nanosensor	NOUN
fumecheng-7698	90	44	such	such	ADJ
fumecheng-7698	90	45	as	as	ADP
fumecheng-7698	90	46	lame	lame	NOUN
fumecheng-7698	90	47	’s	’s	PART
fumecheng-7698	90	48	constants	constant	NOUN
fumecheng-7698	90	49	(	(	PUNCT
fumecheng-7698	90	50	𝜆𝐼,𝑆	𝜆𝐼,𝑆	NOUN
fumecheng-7698	90	51	,	,	PUNCT
fumecheng-7698	90	52	𝜇𝐼,𝑆	𝜇𝐼,𝑆	NOUN
fumecheng-7698	90	53	)	)	PUNCT
fumecheng-7698	90	54	,	,	PUNCT
fumecheng-7698	90	55	residual	residual	ADJ
fumecheng-7698	90	56	stress	stress	NOUN
fumecheng-7698	90	57	(	(	PUNCT
fumecheng-7698	90	58	𝜏0	𝜏0	PROPN
fumecheng-7698	90	59	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	90	60	)	)	PUNCT
fumecheng-7698	90	61	,	,	PUNCT
fumecheng-7698	90	62	piezoelectric	piezoelectric	NOUN
fumecheng-7698	90	63	constants	constant	NOUN
fumecheng-7698	90	64	(	(	PUNCT
fumecheng-7698	90	65	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	90	66	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	90	67	,	,	PUNCT
fumecheng-7698	90	68	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	90	69	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	90	70	)	)	PUNCT
fumecheng-7698	90	71	and	and	CCONJ
fumecheng-7698	90	72	mass	mass	ADJ
fumecheng-7698	90	73	density	density	NOUN
fumecheng-7698	90	74	(	(	PUNCT
fumecheng-7698	90	75	𝜌𝐼,𝑆	𝜌𝐼,𝑆	NOUN
fumecheng-7698	90	76	)	)	PUNCT
fumecheng-7698	90	77	are	be	AUX
fumecheng-7698	90	78	studied	study	VERB
fumecheng-7698	90	79	for	for	ADP
fumecheng-7698	90	80	pull	pull	NOUN
fumecheng-7698	90	81	-	-	PUNCT
fumecheng-7698	90	82	in	in	ADP
fumecheng-7698	90	83	instability	instability	NOUN
fumecheng-7698	90	84	analysis	analysis	NOUN
fumecheng-7698	90	85	on	on	ADP
fumecheng-7698	90	86	dimensionless	dimensionless	ADJ
fumecheng-7698	90	87	natural	natural	ADJ
fumecheng-7698	90	88	frequency	frequency	NOUN
fumecheng-7698	90	89	and	and	CCONJ
fumecheng-7698	90	90	nonlinear	nonlinear	ADJ
fumecheng-7698	90	91	dynamics	dynamic	NOUN
fumecheng-7698	90	92	response	response	NOUN
fumecheng-7698	90	93	in	in	ADP
fumecheng-7698	90	94	accordance	accordance	NOUN
fumecheng-7698	90	95	with	with	ADP
fumecheng-7698	90	96	the	the	DET
fumecheng-7698	90	97	data	datum	NOUN
fumecheng-7698	90	98	in	in	ADP
fumecheng-7698	90	99	tables	table	NOUN
fumecheng-7698	90	100	1	1	NUM
fumecheng-7698	90	101	-	-	SYM
fumecheng-7698	90	102	3	3	NUM
fumecheng-7698	90	103	.	.	PUNCT
fumecheng-7698	91	1	first	first	ADV
fumecheng-7698	91	2	,	,	PUNCT
fumecheng-7698	91	3	the	the	DET
fumecheng-7698	91	4	effect	effect	NOUN
fumecheng-7698	91	5	of	of	ADP
fumecheng-7698	91	6	direct	direct	ADJ
fumecheng-7698	91	7	pull	pull	NOUN
fumecheng-7698	91	8	in	in	ADP
fumecheng-7698	91	9	voltage	voltage	NOUN
fumecheng-7698	91	10	dc	dc	PROPN
fumecheng-7698	91	11	as	as	ADP
fumecheng-7698	91	12	pull	pull	NOUN
fumecheng-7698	91	13	-	-	PUNCT
fumecheng-7698	91	14	in	in	ADP
fumecheng-7698	91	15	instability	instability	NOUN
fumecheng-7698	91	16	analysis	analysis	NOUN
fumecheng-7698	91	17	on	on	ADP
fumecheng-7698	91	18	the	the	DET
fumecheng-7698	91	19	dnf	dnf	PROPN
fumecheng-7698	91	20	of	of	ADP
fumecheng-7698	91	21	pens	pen	NOUN
fumecheng-7698	91	22	is	be	AUX
fumecheng-7698	91	23	presented	present	VERB
fumecheng-7698	91	24	in	in	ADP
fumecheng-7698	91	25	fig	fig	NOUN
fumecheng-7698	91	26	.	.	PUNCT
fumecheng-7698	92	1	2	2	NUM
fumecheng-7698	92	2	and	and	CCONJ
fumecheng-7698	92	3	for	for	ADP
fumecheng-7698	92	4	different	different	ADJ
fumecheng-7698	92	5	boundary	boundary	ADJ
fumecheng-7698	92	6	conditions	condition	NOUN
fumecheng-7698	92	7	and	and	CCONJ
fumecheng-7698	92	8	two	two	NUM
fumecheng-7698	92	9	cases	case	NOUN
fumecheng-7698	92	10	of	of	ADP
fumecheng-7698	92	11	surface	surface	NOUN
fumecheng-7698	92	12	/	/	SYM
fumecheng-7698	92	13	interface	interface	NOUN
fumecheng-7698	92	14	densities	density	NOUN
fumecheng-7698	92	15	of	of	ADP
fumecheng-7698	92	16	table	table	NOUN
fumecheng-7698	92	17	4	4	NUM
fumecheng-7698	92	18	.	.	PUNCT
fumecheng-7698	93	1	it	it	PRON
fumecheng-7698	93	2	is	be	AUX
fumecheng-7698	93	3	obvious	obvious	ADJ
fumecheng-7698	93	4	from	from	ADP
fumecheng-7698	93	5	this	this	DET
fumecheng-7698	93	6	figure	figure	NOUN
fumecheng-7698	93	7	that	that	SCONJ
fumecheng-7698	93	8	in	in	ADP
fumecheng-7698	93	9	higher	high	ADJ
fumecheng-7698	93	10	surface	surface	NOUN
fumecheng-7698	93	11	/	/	SYM
fumecheng-7698	93	12	interface	interface	NOUN
fumecheng-7698	93	13	densities	density	NOUN
fumecheng-7698	93	14	of	of	ADP
fumecheng-7698	93	15	case	case	NOUN
fumecheng-7698	93	16	1	1	NUM
fumecheng-7698	93	17	,	,	PUNCT
fumecheng-7698	93	18	stiffness	stiffness	NOUN
fumecheng-7698	93	19	is	be	AUX
fumecheng-7698	93	20	decrease	decrease	NOUN
fumecheng-7698	93	21	and	and	CCONJ
fumecheng-7698	93	22	the	the	DET
fumecheng-7698	93	23	natural	natural	ADJ
fumecheng-7698	93	24	frequency	frequency	NOUN
fumecheng-7698	93	25	decrease	decrease	NOUN
fumecheng-7698	93	26	to	to	ADP
fumecheng-7698	93	27	without	without	ADP
fumecheng-7698	93	28	s	s	PROPN
fumecheng-7698	93	29	/	/	SYM
fumecheng-7698	93	30	i	i	PRON
fumecheng-7698	93	31	effects	effect	NOUN
fumecheng-7698	93	32	.	.	PUNCT
fumecheng-7698	94	1	also	also	ADV
fumecheng-7698	94	2	,	,	PUNCT
fumecheng-7698	94	3	with	with	ADP
fumecheng-7698	94	4	decreasing	decrease	VERB
fumecheng-7698	94	5	of	of	ADP
fumecheng-7698	94	6	surface	surface	NOUN
fumecheng-7698	94	7	/	/	SYM
fumecheng-7698	94	8	interface	interface	NOUN
fumecheng-7698	94	9	densities	density	NOUN
fumecheng-7698	94	10	in	in	ADP
fumecheng-7698	94	11	case	case	NOUN
fumecheng-7698	94	12	2	2	NUM
fumecheng-7698	94	13	,	,	PUNCT
fumecheng-7698	94	14	stiffness	stiffness	ADJ
fumecheng-7698	94	15	increase	increase	NOUN
fumecheng-7698	94	16	and	and	CCONJ
fumecheng-7698	94	17	the	the	DET
fumecheng-7698	94	18	natural	natural	ADJ
fumecheng-7698	94	19	frequency	frequency	NOUN
fumecheng-7698	94	20	is	be	AUX
fumecheng-7698	94	21	increased	increase	VERB
fumecheng-7698	94	22	compared	compare	VERB
fumecheng-7698	94	23	to	to	ADP
fumecheng-7698	94	24	without	without	ADP
fumecheng-7698	94	25	s	s	PROPN
fumecheng-7698	94	26	/	/	SYM
fumecheng-7698	94	27	i	i	PRON
fumecheng-7698	94	28	effects	effect	NOUN
fumecheng-7698	94	29	.	.	PUNCT
fumecheng-7698	95	1	also	also	ADV
fumecheng-7698	95	2	,	,	PUNCT
fumecheng-7698	95	3	this	this	DET
fumecheng-7698	95	4	figure	figure	NOUN
fumecheng-7698	95	5	shown	show	VERB
fumecheng-7698	95	6	that	that	SCONJ
fumecheng-7698	95	7	the	the	DET
fumecheng-7698	95	8	lowest	low	ADJ
fumecheng-7698	95	9	and	and	CCONJ
fumecheng-7698	95	10	highest	high	ADJ
fumecheng-7698	95	11	natural	natural	ADJ
fumecheng-7698	95	12	frequency	frequency	NOUN
fumecheng-7698	95	13	respectively	respectively	ADV
fumecheng-7698	95	14	are	be	AUX
fumecheng-7698	95	15	for	for	ADP
fumecheng-7698	95	16	case	case	NOUN
fumecheng-7698	95	17	2	2	NUM
fumecheng-7698	95	18	of	of	ADP
fumecheng-7698	95	19	cc	cc	PROPN
fumecheng-7698	95	20	boundary	boundary	ADJ
fumecheng-7698	95	21	condition	condition	NOUN
fumecheng-7698	95	22	and	and	CCONJ
fumecheng-7698	95	23	case	case	NOUN
fumecheng-7698	95	24	1	1	NUM
fumecheng-7698	95	25	of	of	ADP
fumecheng-7698	95	26	cf	cf	NOUN
fumecheng-7698	95	27	boundary	boundary	ADJ
fumecheng-7698	95	28	condition	condition	NOUN
fumecheng-7698	95	29	both	both	CCONJ
fumecheng-7698	95	30	with	with	ADP
fumecheng-7698	95	31	s	s	PROPN
fumecheng-7698	95	32	/	/	SYM
fumecheng-7698	95	33	i	i	PRON
fumecheng-7698	95	34	effects	effect	NOUN
fumecheng-7698	95	35	.	.	PUNCT
fumecheng-7698	96	1	in	in	ADP
fumecheng-7698	96	2	all	all	DET
fumecheng-7698	96	3	boundary	boundary	ADJ
fumecheng-7698	96	4	conditions	condition	NOUN
fumecheng-7698	96	5	,	,	PUNCT
fumecheng-7698	96	6	case	case	NOUN
fumecheng-7698	96	7	2	2	NUM
fumecheng-7698	96	8	(	(	PUNCT
fumecheng-7698	96	9	1	1	NUM
fumecheng-7698	96	10	)	)	PUNCT
fumecheng-7698	96	11	of	of	ADP
fumecheng-7698	96	12	table	table	NOUN
fumecheng-7698	96	13	4	4	NUM
fumecheng-7698	96	14	considering	consider	VERB
fumecheng-7698	96	15	all	all	DET
fumecheng-7698	96	16	s	s	PROPN
fumecheng-7698	96	17	/	/	SYM
fumecheng-7698	96	18	i	i	PRON
fumecheng-7698	96	19	effects	effect	NOUN
fumecheng-7698	96	20	have	have	VERB
fumecheng-7698	96	21	maximum	maximum	ADJ
fumecheng-7698	96	22	(	(	PUNCT
fumecheng-7698	96	23	minimum	minimum	NOUN
fumecheng-7698	96	24	)	)	PUNCT
fumecheng-7698	96	25	pull	pull	VERB
fumecheng-7698	96	26	in	in	ADP
fumecheng-7698	96	27	voltage	voltage	NOUN
fumecheng-7698	96	28	and	and	CCONJ
fumecheng-7698	96	29	natural	natural	ADJ
fumecheng-7698	96	30	frequency	frequency	NOUN
fumecheng-7698	96	31	.	.	PUNCT
fumecheng-7698	97	1	table	table	NOUN
fumecheng-7698	97	2	4	4	NUM
fumecheng-7698	97	3	two	two	NUM
fumecheng-7698	97	4	cases	case	NOUN
fumecheng-7698	97	5	of	of	ADP
fumecheng-7698	97	6	surface	surface	NOUN
fumecheng-7698	97	7	/	/	SYM
fumecheng-7698	97	8	interface	interface	NOUN
fumecheng-7698	97	9	densities	density	NOUN
fumecheng-7698	97	10	case	case	NOUN
fumecheng-7698	97	11	1	1	NUM
fumecheng-7698	97	12	case	case	NOUN
fumecheng-7698	97	13	2	2	NUM
fumecheng-7698	97	14	𝜌𝐼(𝑘𝑔	𝜌𝐼(𝑘𝑔	PROPN
fumecheng-7698	97	15	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	97	16	)	)	PUNCT
fumecheng-7698	97	17	𝜌𝑆(𝑘𝑔	𝜌𝑆(𝑘𝑔	PROPN
fumecheng-7698	97	18	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	97	19	)	)	PUNCT
fumecheng-7698	97	20	𝜌𝐼(𝑘𝑔	𝜌𝐼(𝑘𝑔	PROPN
fumecheng-7698	97	21	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	97	22	)	)	PUNCT
fumecheng-7698	97	23	𝜌𝑆(𝑘𝑔	𝜌𝑆(𝑘𝑔	PROPN
fumecheng-7698	97	24	𝑚2⁄	𝑚2⁄	NUM
fumecheng-7698	97	25	)	)	PUNCT
fumecheng-7698	97	26	5.46	5.46	NUM
fumecheng-7698	97	27	×	×	NOUN
fumecheng-7698	97	28	10−7	10−7	NUM
fumecheng-7698	97	29	5.61	5.61	NUM
fumecheng-7698	97	30	×	×	NOUN
fumecheng-7698	97	31	10−6	10−6	NUM
fumecheng-7698	97	32	5.46	5.46	NUM
fumecheng-7698	97	33	×	×	NOUN
fumecheng-7698	97	34	10−8	10−8	NUM
fumecheng-7698	97	35	5.61	5.61	NUM
fumecheng-7698	97	36	×	×	NOUN
fumecheng-7698	97	37	10−7	10−7	NUM
fumecheng-7698	97	38	264	264	NUM
fumecheng-7698	97	39	s.	s.	PROPN
fumecheng-7698	97	40	h.	h.	PROPN
fumecheng-7698	97	41	h.	h.	PROPN
fumecheng-7698	97	42	kachapi	kachapi	PROPN
fumecheng-7698	97	43	fig	fig	PROPN
fumecheng-7698	97	44	.	.	PUNCT
fumecheng-7698	98	1	2	2	NUM
fumecheng-7698	98	2	the	the	DET
fumecheng-7698	98	3	effects	effect	NOUN
fumecheng-7698	98	4	of	of	ADP
fumecheng-7698	98	5	different	different	ADJ
fumecheng-7698	98	6	boundary	boundary	ADJ
fumecheng-7698	98	7	conditions	condition	NOUN
fumecheng-7698	98	8	for	for	AUX
fumecheng-7698	98	9	pull	pull	VERB
fumecheng-7698	98	10	in	in	ADP
fumecheng-7698	98	11	voltage	voltage	NOUN
fumecheng-7698	98	12	on	on	ADP
fumecheng-7698	98	13	dnf	dnf	PROPN
fumecheng-7698	98	14	of	of	ADP
fumecheng-7698	98	15	pens	pen	NOUN
fumecheng-7698	98	16	figs	fig	NOUN
fumecheng-7698	98	17	.	.	PUNCT
fumecheng-7698	99	1	3	3	NUM
fumecheng-7698	99	2	and	and	CCONJ
fumecheng-7698	99	3	4	4	NUM
fumecheng-7698	99	4	present	present	VERB
fumecheng-7698	99	5	the	the	DET
fumecheng-7698	99	6	effects	effect	NOUN
fumecheng-7698	99	7	of	of	ADP
fumecheng-7698	99	8	different	different	ADJ
fumecheng-7698	99	9	surface/	surface/	NUM
fumecheng-7698	99	10	interface	interface	NOUN
fumecheng-7698	99	11	lame	lame	NOUN
fumecheng-7698	99	12	’s	’s	PART
fumecheng-7698	99	13	constants	constant	NOUN
fumecheng-7698	99	14	𝜆𝑆𝑘	𝜆𝑆𝑘	NOUN
fumecheng-7698	99	15	and	and	CCONJ
fumecheng-7698	99	16	𝜆𝐼𝑘	𝜆𝐼𝑘	NOUN
fumecheng-7698	99	17	,	,	PUNCT
fumecheng-7698	99	18	for	for	ADP
fumecheng-7698	99	19	pull	pull	NOUN
fumecheng-7698	99	20	-	-	PUNCT
fumecheng-7698	99	21	in	in	ADP
fumecheng-7698	99	22	instability	instability	NOUN
fumecheng-7698	99	23	analysis	analysis	NOUN
fumecheng-7698	99	24	respectively	respectively	ADV
fumecheng-7698	99	25	on	on	ADP
fumecheng-7698	99	26	dnf	dnf	PROPN
fumecheng-7698	99	27	and	and	CCONJ
fumecheng-7698	99	28	ndr	ndr	PROPN
fumecheng-7698	99	29	of	of	ADP
fumecheng-7698	99	30	pens	pen	NOUN
fumecheng-7698	99	31	.	.	PUNCT
fumecheng-7698	100	1	fig	fig	NOUN
fumecheng-7698	100	2	.	.	PUNCT
fumecheng-7698	101	1	3	3	NUM
fumecheng-7698	101	2	the	the	DET
fumecheng-7698	101	3	effects	effect	NOUN
fumecheng-7698	101	4	of	of	ADP
fumecheng-7698	101	5	surface	surface	NOUN
fumecheng-7698	101	6	/	/	SYM
fumecheng-7698	101	7	interface	interface	NOUN
fumecheng-7698	101	8	lame	lame	NOUN
fumecheng-7698	101	9	’s	’s	PART
fumecheng-7698	101	10	constants	constant	NOUN
fumecheng-7698	101	11	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	101	12	for	for	ADP
fumecheng-7698	101	13	pull	pull	VERB
fumecheng-7698	101	14	in	in	ADP
fumecheng-7698	101	15	voltage	voltage	NOUN
fumecheng-7698	101	16	on	on	ADP
fumecheng-7698	101	17	dnf	dnf	PROPN
fumecheng-7698	101	18	of	of	ADP
fumecheng-7698	101	19	ss	ss	NOUN
fumecheng-7698	101	20	pens	pen	NOUN
fumecheng-7698	101	21	it	it	PRON
fumecheng-7698	101	22	is	be	AUX
fumecheng-7698	101	23	clear	clear	ADJ
fumecheng-7698	101	24	that	that	SCONJ
fumecheng-7698	101	25	increasing	increase	VERB
fumecheng-7698	101	26	both	both	DET
fumecheng-7698	101	27	surface	surface	NOUN
fumecheng-7698	101	28	/	/	SYM
fumecheng-7698	101	29	interface	interface	NOUN
fumecheng-7698	101	30	lame	lame	NOUN
fumecheng-7698	101	31	’s	’s	PART
fumecheng-7698	101	32	constants	constant	NOUN
fumecheng-7698	101	33	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	101	34	,	,	PUNCT
fumecheng-7698	101	35	due	due	ADP
fumecheng-7698	101	36	to	to	ADP
fumecheng-7698	101	37	increasing	increase	VERB
fumecheng-7698	101	38	of	of	ADP
fumecheng-7698	101	39	pens	pen	NOUN
fumecheng-7698	101	40	stiffness	stiffness	NOUN
fumecheng-7698	101	41	,	,	PUNCT
fumecheng-7698	101	42	in	in	ADP
fumecheng-7698	101	43	both	both	DET
fumecheng-7698	101	44	analysis	analysis	NOUN
fumecheng-7698	101	45	of	of	ADP
fumecheng-7698	101	46	dnf	dnf	PROPN
fumecheng-7698	101	47	and	and	CCONJ
fumecheng-7698	101	48	ndr	ndr	PROPN
fumecheng-7698	101	49	,	,	PUNCT
fumecheng-7698	101	50	pull	pull	NOUN
fumecheng-7698	101	51	-	-	PUNCT
fumecheng-7698	101	52	in	in	ADP
fumecheng-7698	101	53	voltage	voltage	NOUN
fumecheng-7698	101	54	increases	increase	NOUN
fumecheng-7698	101	55	.	.	PUNCT
fumecheng-7698	102	1	also	also	ADV
fumecheng-7698	102	2	,	,	PUNCT
fumecheng-7698	102	3	it	it	PRON
fumecheng-7698	102	4	is	be	AUX
fumecheng-7698	102	5	obvious	obvious	ADJ
fumecheng-7698	102	6	that	that	SCONJ
fumecheng-7698	102	7	for	for	ADP
fumecheng-7698	102	8	different	different	ADJ
fumecheng-7698	102	9	cases	case	NOUN
fumecheng-7698	102	10	of	of	ADP
fumecheng-7698	102	11	lame	lame	PROPN
fumecheng-7698	102	12	’s	’s	PART
fumecheng-7698	102	13	constants	constant	NOUN
fumecheng-7698	102	14	,	,	PUNCT
fumecheng-7698	102	15	the	the	DET
fumecheng-7698	102	16	system	system	NOUN
fumecheng-7698	102	17	has	have	VERB
fumecheng-7698	102	18	stable	stable	ADJ
fumecheng-7698	102	19	(	(	PUNCT
fumecheng-7698	102	20	for	for	ADP
fumecheng-7698	102	21	example	example	NOUN
fumecheng-7698	102	22	:	:	PUNCT
fumecheng-7698	102	23	𝐴	𝐴	PROPN
fumecheng-7698	102	24	to	to	ADP
fumecheng-7698	102	25	𝐵1	𝐵1	NOUN
fumecheng-7698	102	26	or	or	CCONJ
fumecheng-7698	102	27	𝐶1	𝐶1	NUM
fumecheng-7698	102	28	from	from	ADP
fumecheng-7698	102	29	fig	fig	NOUN
fumecheng-7698	102	30	.	.	PUNCT
fumecheng-7698	103	1	4	4	NUM
fumecheng-7698	103	2	)	)	PUNCT
fumecheng-7698	103	3	or	or	CCONJ
fumecheng-7698	103	4	unstable	unstable	ADJ
fumecheng-7698	103	5	(	(	PUNCT
fumecheng-7698	103	6	for	for	ADP
fumecheng-7698	103	7	example	example	NOUN
fumecheng-7698	103	8	:	:	PUNCT
fumecheng-7698	103	9	𝐵1to	𝐵1to	NOUN
fumecheng-7698	103	10	𝐵2	𝐵2	NOUN
fumecheng-7698	103	11	or	or	CCONJ
fumecheng-7698	103	12	𝐶1	𝐶1	PRON
fumecheng-7698	103	13	to	to	PART
fumecheng-7698	103	14	𝐶2	𝐶2	PROPN
fumecheng-7698	103	15	from	from	ADP
fumecheng-7698	103	16	fig	fig	NOUN
fumecheng-7698	103	17	.	.	PUNCT
fumecheng-7698	104	1	4	4	NUM
fumecheng-7698	104	2	)	)	PUNCT
fumecheng-7698	104	3	point	point	NOUN
fumecheng-7698	104	4	as	as	ADP
fumecheng-7698	104	5	saddle	saddle	ADJ
fumecheng-7698	104	6	node	node	NOUN
fumecheng-7698	104	7	bifurcation	bifurcation	NOUN
fumecheng-7698	104	8	point	point	NOUN
fumecheng-7698	104	9	.	.	PUNCT
fumecheng-7698	105	1	nonlinear	nonlinear	ADJ
fumecheng-7698	105	2	vibration	vibration	ADJ
fumecheng-7698	105	3	response	response	NOUN
fumecheng-7698	105	4	of	of	ADP
fumecheng-7698	105	5	piezoelectric	piezoelectric	ADJ
fumecheng-7698	105	6	nanosensor	nanosensor	NOUN
fumecheng-7698	105	7	:	:	PUNCT
fumecheng-7698	105	8	influences	influence	NOUN
fumecheng-7698	105	9	of	of	ADP
fumecheng-7698	105	10	surface	surface	NOUN
fumecheng-7698	105	11	/	/	SYM
fumecheng-7698	105	12	interface	interface	NOUN
fumecheng-7698	105	13	effects	effect	NOUN
fumecheng-7698	105	14	265	265	NUM
fumecheng-7698	105	15	fig	fig	NOUN
fumecheng-7698	105	16	.	.	PUNCT
fumecheng-7698	106	1	4	4	NUM
fumecheng-7698	106	2	influence	influence	NOUN
fumecheng-7698	106	3	of	of	ADP
fumecheng-7698	106	4	surface	surface	NOUN
fumecheng-7698	106	5	/	/	SYM
fumecheng-7698	106	6	interface	interface	NOUN
fumecheng-7698	106	7	lame	lame	NOUN
fumecheng-7698	106	8	’s	’s	PART
fumecheng-7698	106	9	constants	constant	NOUN
fumecheng-7698	106	10	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	106	11	for	for	ADP
fumecheng-7698	106	12	pull	pull	VERB
fumecheng-7698	106	13	in	in	ADP
fumecheng-7698	106	14	voltage	voltage	NOUN
fumecheng-7698	106	15	on	on	ADP
fumecheng-7698	106	16	ndr	ndr	PROPN
fumecheng-7698	106	17	of	of	ADP
fumecheng-7698	106	18	ss	ss	PROPN
fumecheng-7698	106	19	pens	pen	NOUN
fumecheng-7698	106	20	with	with	ADP
fumecheng-7698	106	21	�	�	PROPN
fumecheng-7698	106	22	̅	̅	NOUN
fumecheng-7698	106	23	�	�	NOUN
fumecheng-7698	106	24	𝑝	𝑝	NOUN
fumecheng-7698	106	25	=	=	SYM
fumecheng-7698	106	26	1	1	NUM
fumecheng-7698	106	27	×	×	NOUN
fumecheng-7698	106	28	10−3	10−3	NUM
fumecheng-7698	106	29	;	;	PUNCT
fumecheng-7698	106	30	solid	solid	ADJ
fumecheng-7698	106	31	line	line	NOUN
fumecheng-7698	106	32	(	(	PUNCT
fumecheng-7698	106	33	-	-	PUNCT
fumecheng-7698	106	34	):	):	PUNCT
fumecheng-7698	106	35	stable	stable	ADJ
fumecheng-7698	106	36	,	,	PUNCT
fumecheng-7698	106	37	dashed	dash	VERB
fumecheng-7698	106	38	line	line	NOUN
fumecheng-7698	106	39	(	(	PUNCT
fumecheng-7698	106	40	--	--	PUNCT
fumecheng-7698	106	41	):	):	PUNCT
fumecheng-7698	106	42	unstable	unstable	ADJ
fumecheng-7698	106	43	the	the	DET
fumecheng-7698	106	44	effects	effect	NOUN
fumecheng-7698	106	45	of	of	ADP
fumecheng-7698	106	46	different	different	ADJ
fumecheng-7698	106	47	surface	surface	NOUN
fumecheng-7698	106	48	and	and	CCONJ
fumecheng-7698	106	49	interface	interface	NOUN
fumecheng-7698	106	50	lame	lame	PROPN
fumecheng-7698	106	51	’s	’s	PART
fumecheng-7698	106	52	constants	constant	NOUN
fumecheng-7698	106	53	𝜇	𝜇	ADP
fumecheng-7698	106	54	𝑆𝑘	𝑆𝑘	PROPN
fumecheng-7698	106	55	,	,	PUNCT
fumecheng-7698	106	56	and	and	CCONJ
fumecheng-7698	106	57	𝜇𝐼𝑘	𝜇𝐼𝑘	NOUN
fumecheng-7698	106	58	,	,	PUNCT
fumecheng-7698	106	59	for	for	ADP
fumecheng-7698	106	60	pull	pull	NOUN
fumecheng-7698	106	61	-	-	PUNCT
fumecheng-7698	106	62	in	in	ADP
fumecheng-7698	106	63	instability	instability	NOUN
fumecheng-7698	106	64	analysis	analysis	NOUN
fumecheng-7698	106	65	respectively	respectively	ADV
fumecheng-7698	106	66	on	on	ADP
fumecheng-7698	106	67	dnf	dnf	PROPN
fumecheng-7698	106	68	and	and	CCONJ
fumecheng-7698	106	69	ndr	ndr	PROPN
fumecheng-7698	106	70	of	of	ADP
fumecheng-7698	106	71	pens	pen	NOUN
fumecheng-7698	106	72	are	be	AUX
fumecheng-7698	106	73	presented	present	VERB
fumecheng-7698	106	74	in	in	ADP
fumecheng-7698	106	75	figs	fig	NOUN
fumecheng-7698	106	76	.	.	PUNCT
fumecheng-7698	107	1	5	5	NUM
fumecheng-7698	107	2	and	and	CCONJ
fumecheng-7698	107	3	6	6	NUM
fumecheng-7698	107	4	.	.	X
fumecheng-7698	107	5	fig	fig	NOUN
fumecheng-7698	107	6	.	.	PUNCT
fumecheng-7698	108	1	5	5	NUM
fumecheng-7698	108	2	the	the	DET
fumecheng-7698	108	3	effects	effect	NOUN
fumecheng-7698	108	4	of	of	ADP
fumecheng-7698	108	5	surface	surface	NOUN
fumecheng-7698	108	6	/	/	SYM
fumecheng-7698	108	7	interface	interface	NOUN
fumecheng-7698	108	8	lame	lame	NOUN
fumecheng-7698	108	9	’s	’s	PART
fumecheng-7698	108	10	constants	constant	NOUN
fumecheng-7698	108	11	𝜇𝐼,𝑆	𝜇𝐼,𝑆	NOUN
fumecheng-7698	108	12	for	for	ADP
fumecheng-7698	108	13	pull	pull	VERB
fumecheng-7698	108	14	in	in	ADP
fumecheng-7698	108	15	voltage	voltage	NOUN
fumecheng-7698	108	16	on	on	ADP
fumecheng-7698	108	17	dnf	dnf	PROPN
fumecheng-7698	108	18	of	of	ADP
fumecheng-7698	108	19	ss	ss	NOUN
fumecheng-7698	108	20	pens	pen	NOUN
fumecheng-7698	108	21	similar	similar	ADJ
fumecheng-7698	108	22	to	to	ADP
fumecheng-7698	108	23	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	108	24	,	,	PUNCT
fumecheng-7698	108	25	it	it	PRON
fumecheng-7698	108	26	is	be	AUX
fumecheng-7698	108	27	clear	clear	ADJ
fumecheng-7698	108	28	that	that	SCONJ
fumecheng-7698	108	29	increasing	increase	VERB
fumecheng-7698	108	30	both	both	DET
fumecheng-7698	108	31	surface	surface	NOUN
fumecheng-7698	108	32	/	/	SYM
fumecheng-7698	108	33	interface	interface	NOUN
fumecheng-7698	108	34	lame	lame	NOUN
fumecheng-7698	108	35	’s	’s	PART
fumecheng-7698	108	36	constants	constant	NOUN
fumecheng-7698	108	37	𝜇𝐼,𝑆	𝜇𝐼,𝑆	NOUN
fumecheng-7698	108	38	,	,	PUNCT
fumecheng-7698	108	39	due	due	ADP
fumecheng-7698	108	40	to	to	ADP
fumecheng-7698	108	41	increasing	increase	VERB
fumecheng-7698	108	42	of	of	ADP
fumecheng-7698	108	43	pens	pen	NOUN
fumecheng-7698	108	44	stiffness	stiffness	NOUN
fumecheng-7698	108	45	,	,	PUNCT
fumecheng-7698	108	46	in	in	ADP
fumecheng-7698	108	47	both	both	DET
fumecheng-7698	108	48	analysis	analysis	NOUN
fumecheng-7698	108	49	of	of	ADP
fumecheng-7698	108	50	dnf	dnf	PROPN
fumecheng-7698	108	51	and	and	CCONJ
fumecheng-7698	108	52	ndr	ndr	PROPN
fumecheng-7698	108	53	,	,	PUNCT
fumecheng-7698	108	54	pull	pull	NOUN
fumecheng-7698	108	55	-	-	PUNCT
fumecheng-7698	108	56	in	in	ADP
fumecheng-7698	108	57	voltage	voltage	NOUN
fumecheng-7698	108	58	increases	increase	NOUN
fumecheng-7698	108	59	.	.	PUNCT
fumecheng-7698	109	1	266	266	NUM
fumecheng-7698	109	2	s.	s.	PROPN
fumecheng-7698	109	3	h.	h.	PROPN
fumecheng-7698	109	4	h.	h.	PROPN
fumecheng-7698	109	5	kachapi	kachapi	PROPN
fumecheng-7698	109	6	fig	fig	PROPN
fumecheng-7698	109	7	.	.	PUNCT
fumecheng-7698	110	1	6	6	NUM
fumecheng-7698	110	2	influence	influence	NOUN
fumecheng-7698	110	3	of	of	ADP
fumecheng-7698	110	4	surface	surface	NOUN
fumecheng-7698	110	5	/	/	SYM
fumecheng-7698	110	6	interface	interface	NOUN
fumecheng-7698	110	7	lame	lame	NOUN
fumecheng-7698	110	8	’s	’s	PART
fumecheng-7698	110	9	constants	constant	NOUN
fumecheng-7698	110	10	𝜇𝐼,𝑆	𝜇𝐼,𝑆	NOUN
fumecheng-7698	110	11	for	for	ADP
fumecheng-7698	110	12	pull	pull	VERB
fumecheng-7698	110	13	in	in	ADP
fumecheng-7698	110	14	voltage	voltage	NOUN
fumecheng-7698	110	15	on	on	ADP
fumecheng-7698	110	16	ndr	ndr	PROPN
fumecheng-7698	110	17	of	of	ADP
fumecheng-7698	110	18	ss	ss	PROPN
fumecheng-7698	110	19	pens	pen	NOUN
fumecheng-7698	110	20	with	with	ADP
fumecheng-7698	110	21	�	�	PROPN
fumecheng-7698	110	22	̅	̅	NOUN
fumecheng-7698	110	23	�	�	NOUN
fumecheng-7698	110	24	𝑝	𝑝	NOUN
fumecheng-7698	110	25	=	=	SYM
fumecheng-7698	110	26	1	1	NUM
fumecheng-7698	110	27	×	×	NOUN
fumecheng-7698	110	28	10−3	10−3	NUM
fumecheng-7698	110	29	;	;	PUNCT
fumecheng-7698	110	30	solid	solid	ADJ
fumecheng-7698	110	31	line	line	NOUN
fumecheng-7698	110	32	(	(	PUNCT
fumecheng-7698	110	33	-	-	PUNCT
fumecheng-7698	110	34	):	):	PUNCT
fumecheng-7698	110	35	stable	stable	ADJ
fumecheng-7698	110	36	,	,	PUNCT
fumecheng-7698	110	37	dashed	dash	VERB
fumecheng-7698	110	38	line	line	NOUN
fumecheng-7698	110	39	(	(	PUNCT
fumecheng-7698	110	40	--	--	PUNCT
fumecheng-7698	110	41	):	):	PUNCT
fumecheng-7698	110	42	unstable	unstable	ADJ
fumecheng-7698	110	43	figs	fig	NOUN
fumecheng-7698	110	44	.	.	PUNCT
fumecheng-7698	110	45	7	7	NUM
fumecheng-7698	110	46	and	and	CCONJ
fumecheng-7698	110	47	8	8	NUM
fumecheng-7698	110	48	show	show	VERB
fumecheng-7698	110	49	the	the	DET
fumecheng-7698	110	50	effects	effect	NOUN
fumecheng-7698	110	51	of	of	ADP
fumecheng-7698	110	52	surface	surface	NOUN
fumecheng-7698	110	53	and	and	CCONJ
fumecheng-7698	110	54	interface	interface	VERB
fumecheng-7698	110	55	residual	residual	ADJ
fumecheng-7698	110	56	stress	stress	NOUN
fumecheng-7698	110	57	𝜏0	𝜏0	PROPN
fumecheng-7698	110	58	𝑆𝑘	𝑆𝑘	PROPN
fumecheng-7698	110	59	and	and	CCONJ
fumecheng-7698	110	60	𝜏0	𝜏0	PROPN
fumecheng-7698	110	61	𝐼𝑘	𝐼𝑘	PROPN
fumecheng-7698	110	62	,	,	PUNCT
fumecheng-7698	110	63	for	for	ADP
fumecheng-7698	110	64	pull	pull	NOUN
fumecheng-7698	110	65	-	-	PUNCT
fumecheng-7698	110	66	in	in	ADP
fumecheng-7698	110	67	instability	instability	NOUN
fumecheng-7698	110	68	analysis	analysis	NOUN
fumecheng-7698	110	69	respectively	respectively	ADV
fumecheng-7698	110	70	on	on	ADP
fumecheng-7698	110	71	dnf	dnf	PROPN
fumecheng-7698	110	72	and	and	CCONJ
fumecheng-7698	110	73	ndr	ndr	PROPN
fumecheng-7698	110	74	of	of	ADP
fumecheng-7698	110	75	pens	pen	NOUN
fumecheng-7698	110	76	.	.	PUNCT
fumecheng-7698	111	1	fig	fig	NOUN
fumecheng-7698	111	2	.	.	PUNCT
fumecheng-7698	112	1	7	7	NUM
fumecheng-7698	113	1	the	the	DET
fumecheng-7698	113	2	effects	effect	NOUN
fumecheng-7698	113	3	of	of	ADP
fumecheng-7698	113	4	surface	surface	NOUN
fumecheng-7698	113	5	/	/	SYM
fumecheng-7698	113	6	interface	interface	NOUN
fumecheng-7698	113	7	residual	residual	ADJ
fumecheng-7698	113	8	stress	stress	NOUN
fumecheng-7698	113	9	𝜏0	𝜏0	NOUN
fumecheng-7698	113	10	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	113	11	for	for	ADP
fumecheng-7698	113	12	pull	pull	VERB
fumecheng-7698	113	13	in	in	ADP
fumecheng-7698	113	14	voltage	voltage	NOUN
fumecheng-7698	113	15	on	on	ADP
fumecheng-7698	113	16	dnf	dnf	PROPN
fumecheng-7698	113	17	of	of	ADP
fumecheng-7698	113	18	ss	ss	NOUN
fumecheng-7698	113	19	pens	pen	NOUN
fumecheng-7698	113	20	as	as	SCONJ
fumecheng-7698	113	21	can	can	AUX
fumecheng-7698	113	22	be	be	AUX
fumecheng-7698	113	23	show	show	NOUN
fumecheng-7698	113	24	in	in	ADP
fumecheng-7698	113	25	both	both	DET
fumecheng-7698	113	26	analysis	analysis	NOUN
fumecheng-7698	113	27	of	of	ADP
fumecheng-7698	113	28	dnf	dnf	PROPN
fumecheng-7698	113	29	and	and	CCONJ
fumecheng-7698	113	30	ndr	ndr	PROPN
fumecheng-7698	113	31	,	,	PUNCT
fumecheng-7698	113	32	increasing	increase	VERB
fumecheng-7698	113	33	both	both	DET
fumecheng-7698	113	34	surface	surface	NOUN
fumecheng-7698	113	35	/	/	SYM
fumecheng-7698	113	36	interface	interface	NOUN
fumecheng-7698	113	37	residual	residual	ADJ
fumecheng-7698	113	38	stress	stress	NOUN
fumecheng-7698	113	39	𝜏0	𝜏0	NOUN
fumecheng-7698	113	40	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	113	41	lead	lead	VERB
fumecheng-7698	113	42	to	to	ADP
fumecheng-7698	113	43	increasing	increase	VERB
fumecheng-7698	113	44	of	of	ADP
fumecheng-7698	113	45	pens	pen	NOUN
fumecheng-7698	113	46	stiffness	stiffness	NOUN
fumecheng-7698	113	47	and	and	CCONJ
fumecheng-7698	113	48	as	as	ADP
fumecheng-7698	113	49	a	a	DET
fumecheng-7698	113	50	result	result	NOUN
fumecheng-7698	113	51	,	,	PUNCT
fumecheng-7698	113	52	pull	pull	NOUN
fumecheng-7698	113	53	-	-	PUNCT
fumecheng-7698	113	54	in	in	ADP
fumecheng-7698	113	55	voltage	voltage	NOUN
fumecheng-7698	113	56	increases	increase	NOUN
fumecheng-7698	113	57	.	.	PUNCT
fumecheng-7698	114	1	nonlinear	nonlinear	ADJ
fumecheng-7698	114	2	vibration	vibration	NOUN
fumecheng-7698	114	3	response	response	NOUN
fumecheng-7698	114	4	of	of	ADP
fumecheng-7698	114	5	piezoelectric	piezoelectric	ADJ
fumecheng-7698	114	6	nanosensor	nanosensor	NOUN
fumecheng-7698	114	7	:	:	PUNCT
fumecheng-7698	114	8	influences	influence	NOUN
fumecheng-7698	114	9	of	of	ADP
fumecheng-7698	114	10	surface	surface	NOUN
fumecheng-7698	114	11	/	/	SYM
fumecheng-7698	114	12	interface	interface	NOUN
fumecheng-7698	114	13	effects	effect	NOUN
fumecheng-7698	114	14	267	267	NUM
fumecheng-7698	114	15	fig	fig	NOUN
fumecheng-7698	114	16	.	.	PUNCT
fumecheng-7698	115	1	8	8	NUM
fumecheng-7698	115	2	influence	influence	NOUN
fumecheng-7698	115	3	of	of	ADP
fumecheng-7698	115	4	surface	surface	NOUN
fumecheng-7698	115	5	/	/	SYM
fumecheng-7698	115	6	interface	interface	NOUN
fumecheng-7698	115	7	residual	residual	ADJ
fumecheng-7698	115	8	stress	stress	NOUN
fumecheng-7698	115	9	𝜏0	𝜏0	NOUN
fumecheng-7698	115	10	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	115	11	for	for	ADP
fumecheng-7698	115	12	pull	pull	VERB
fumecheng-7698	115	13	in	in	ADP
fumecheng-7698	115	14	voltage	voltage	NOUN
fumecheng-7698	115	15	on	on	ADP
fumecheng-7698	115	16	ndr	ndr	PROPN
fumecheng-7698	115	17	of	of	ADP
fumecheng-7698	115	18	ss	ss	PROPN
fumecheng-7698	115	19	pens	pen	NOUN
fumecheng-7698	115	20	with	with	ADP
fumecheng-7698	115	21	�	�	PROPN
fumecheng-7698	115	22	̅	̅	NOUN
fumecheng-7698	115	23	�	�	NOUN
fumecheng-7698	115	24	𝑝	𝑝	NOUN
fumecheng-7698	115	25	=	=	SYM
fumecheng-7698	115	26	1	1	NUM
fumecheng-7698	115	27	×	×	NOUN
fumecheng-7698	115	28	10−3	10−3	NUM
fumecheng-7698	115	29	;	;	PUNCT
fumecheng-7698	115	30	solid	solid	ADJ
fumecheng-7698	115	31	line	line	NOUN
fumecheng-7698	115	32	(	(	PUNCT
fumecheng-7698	115	33	-	-	PUNCT
fumecheng-7698	115	34	):	):	PUNCT
fumecheng-7698	115	35	stable	stable	ADJ
fumecheng-7698	115	36	,	,	PUNCT
fumecheng-7698	115	37	dashed	dash	VERB
fumecheng-7698	115	38	line	line	NOUN
fumecheng-7698	115	39	(	(	PUNCT
fumecheng-7698	115	40	--	--	PUNCT
fumecheng-7698	115	41	):	):	PUNCT
fumecheng-7698	115	42	unstable	unstable	ADJ
fumecheng-7698	115	43	the	the	DET
fumecheng-7698	115	44	effect	effect	NOUN
fumecheng-7698	115	45	of	of	ADP
fumecheng-7698	115	46	surface	surface	NOUN
fumecheng-7698	115	47	piezoelectricity	piezoelectricity	NOUN
fumecheng-7698	115	48	constants	constant	NOUN
fumecheng-7698	115	49	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	115	50	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	115	51	and	and	CCONJ
fumecheng-7698	115	52	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	115	53	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	115	54	for	for	ADP
fumecheng-7698	115	55	pull	pull	NOUN
fumecheng-7698	115	56	-	-	PUNCT
fumecheng-7698	115	57	in	in	ADP
fumecheng-7698	115	58	instability	instability	NOUN
fumecheng-7698	115	59	analysis	analysis	NOUN
fumecheng-7698	115	60	respectively	respectively	ADV
fumecheng-7698	115	61	on	on	ADP
fumecheng-7698	115	62	dnf	dnf	PROPN
fumecheng-7698	115	63	and	and	CCONJ
fumecheng-7698	115	64	ndr	ndr	PROPN
fumecheng-7698	115	65	of	of	ADP
fumecheng-7698	115	66	pens	pen	NOUN
fumecheng-7698	115	67	are	be	AUX
fumecheng-7698	115	68	presented	present	VERB
fumecheng-7698	115	69	in	in	ADP
fumecheng-7698	115	70	figs	fig	NOUN
fumecheng-7698	115	71	.	.	PUNCT
fumecheng-7698	116	1	9	9	NUM
fumecheng-7698	116	2	and	and	CCONJ
fumecheng-7698	116	3	10	10	NUM
fumecheng-7698	116	4	.	.	PUNCT
fumecheng-7698	116	5	fig	fig	NOUN
fumecheng-7698	116	6	.	.	PUNCT
fumecheng-7698	117	1	9	9	NUM
fumecheng-7698	117	2	the	the	DET
fumecheng-7698	117	3	effects	effect	NOUN
fumecheng-7698	117	4	of	of	ADP
fumecheng-7698	117	5	surface	surface	NOUN
fumecheng-7698	117	6	piezoelectricity	piezoelectricity	NOUN
fumecheng-7698	117	7	constants	constant	NOUN
fumecheng-7698	117	8	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	117	9	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	117	10	,	,	PUNCT
fumecheng-7698	117	11	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	117	12	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	117	13	for	for	ADP
fumecheng-7698	117	14	pull	pull	NOUN
fumecheng-7698	117	15	in	in	ADP
fumecheng-7698	117	16	voltage	voltage	NOUN
fumecheng-7698	117	17	on	on	ADP
fumecheng-7698	117	18	dnf	dnf	PROPN
fumecheng-7698	117	19	of	of	ADP
fumecheng-7698	117	20	ss	ss	NOUN
fumecheng-7698	117	21	pens	pen	NOUN
fumecheng-7698	117	22	it	it	PRON
fumecheng-7698	117	23	is	be	AUX
fumecheng-7698	117	24	observed	observe	VERB
fumecheng-7698	117	25	that	that	SCONJ
fumecheng-7698	117	26	increasing	increase	VERB
fumecheng-7698	117	27	of	of	ADP
fumecheng-7698	117	28	negative	negative	ADJ
fumecheng-7698	117	29	surface	surface	NOUN
fumecheng-7698	117	30	piezoelectricity	piezoelectricity	NOUN
fumecheng-7698	117	31	constants	constant	NOUN
fumecheng-7698	117	32	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	117	33	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	117	34	and	and	CCONJ
fumecheng-7698	117	35	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	117	36	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	117	37	leads	lead	VERB
fumecheng-7698	117	38	to	to	ADP
fumecheng-7698	117	39	increasing	increase	VERB
fumecheng-7698	117	40	of	of	ADP
fumecheng-7698	117	41	the	the	DET
fumecheng-7698	117	42	pens	pen	NOUN
fumecheng-7698	117	43	stiffness	stiffness	NOUN
fumecheng-7698	117	44	and	and	CCONJ
fumecheng-7698	117	45	as	as	ADP
fumecheng-7698	117	46	a	a	DET
fumecheng-7698	117	47	result	result	NOUN
fumecheng-7698	117	48	,	,	PUNCT
fumecheng-7698	117	49	pull	pull	NOUN
fumecheng-7698	117	50	-	-	PUNCT
fumecheng-7698	117	51	in	in	ADP
fumecheng-7698	117	52	voltage	voltage	NOUN
fumecheng-7698	117	53	increases	increase	NOUN
fumecheng-7698	117	54	.	.	PUNCT
fumecheng-7698	118	1	268	268	NUM
fumecheng-7698	118	2	s.	s.	PROPN
fumecheng-7698	118	3	h.	h.	PROPN
fumecheng-7698	118	4	h.	h.	PROPN
fumecheng-7698	118	5	kachapi	kachapi	PROPN
fumecheng-7698	118	6	fig	fig	PROPN
fumecheng-7698	118	7	.	.	PUNCT
fumecheng-7698	119	1	10	10	NUM
fumecheng-7698	119	2	influence	influence	NOUN
fumecheng-7698	119	3	of	of	ADP
fumecheng-7698	119	4	surface	surface	NOUN
fumecheng-7698	119	5	piezoelectricity	piezoelectricity	NOUN
fumecheng-7698	119	6	constants	constant	NOUN
fumecheng-7698	119	7	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	119	8	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	119	9	,	,	PUNCT
fumecheng-7698	119	10	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	119	11	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	119	12	for	for	ADP
fumecheng-7698	119	13	pull	pull	NOUN
fumecheng-7698	119	14	in	in	ADP
fumecheng-7698	119	15	voltage	voltage	NOUN
fumecheng-7698	119	16	on	on	ADP
fumecheng-7698	119	17	ndr	ndr	PROPN
fumecheng-7698	119	18	of	of	ADP
fumecheng-7698	119	19	ss	ss	PROPN
fumecheng-7698	119	20	pens	pen	NOUN
fumecheng-7698	119	21	with	with	ADP
fumecheng-7698	119	22	�	�	PROPN
fumecheng-7698	119	23	̅	̅	NOUN
fumecheng-7698	119	24	�	�	NOUN
fumecheng-7698	119	25	𝑝	𝑝	NOUN
fumecheng-7698	119	26	=	=	SYM
fumecheng-7698	119	27	1	1	NUM
fumecheng-7698	119	28	×	×	NOUN
fumecheng-7698	119	29	10−3	10−3	NUM
fumecheng-7698	119	30	;	;	PUNCT
fumecheng-7698	119	31	solid	solid	ADJ
fumecheng-7698	119	32	line	line	NOUN
fumecheng-7698	119	33	(	(	PUNCT
fumecheng-7698	119	34	-	-	PUNCT
fumecheng-7698	119	35	):	):	PUNCT
fumecheng-7698	119	36	stable	stable	ADJ
fumecheng-7698	119	37	,	,	PUNCT
fumecheng-7698	119	38	dashed	dash	VERB
fumecheng-7698	119	39	line	line	NOUN
fumecheng-7698	119	40	(	(	PUNCT
fumecheng-7698	119	41	--	--	PUNCT
fumecheng-7698	119	42	):	):	PUNCT
fumecheng-7698	119	43	unstable	unstable	ADJ
fumecheng-7698	119	44	figs	fig	NOUN
fumecheng-7698	119	45	.	.	PUNCT
fumecheng-7698	120	1	11	11	NUM
fumecheng-7698	120	2	and	and	CCONJ
fumecheng-7698	120	3	12	12	NUM
fumecheng-7698	120	4	illustrate	illustrate	VERB
fumecheng-7698	120	5	the	the	DET
fumecheng-7698	120	6	effects	effect	NOUN
fumecheng-7698	120	7	of	of	ADP
fumecheng-7698	120	8	surface	surface	NOUN
fumecheng-7698	120	9	and	and	CCONJ
fumecheng-7698	120	10	interface	interface	NOUN
fumecheng-7698	120	11	mass	mass	ADJ
fumecheng-7698	120	12	density	density	PROPN
fumecheng-7698	120	13	𝝆𝑺𝒌	𝝆𝑺𝒌	PROPN
fumecheng-7698	120	14	and	and	CCONJ
fumecheng-7698	120	15	𝝆𝑰𝒌	𝝆𝑰𝒌	NOUN
fumecheng-7698	120	16	,	,	PUNCT
fumecheng-7698	120	17	for	for	ADP
fumecheng-7698	120	18	pull	pull	NOUN
fumecheng-7698	120	19	-	-	PUNCT
fumecheng-7698	120	20	in	in	ADP
fumecheng-7698	120	21	instability	instability	NOUN
fumecheng-7698	120	22	analysis	analysis	NOUN
fumecheng-7698	120	23	respectively	respectively	ADV
fumecheng-7698	120	24	on	on	ADP
fumecheng-7698	120	25	dnf	dnf	PROPN
fumecheng-7698	120	26	and	and	CCONJ
fumecheng-7698	120	27	ndr	ndr	PROPN
fumecheng-7698	120	28	of	of	ADP
fumecheng-7698	120	29	pens	pen	NOUN
fumecheng-7698	120	30	.	.	PUNCT
fumecheng-7698	121	1	as	as	SCONJ
fumecheng-7698	121	2	it	it	PRON
fumecheng-7698	121	3	can	can	AUX
fumecheng-7698	121	4	be	be	AUX
fumecheng-7698	121	5	seen	see	VERB
fumecheng-7698	121	6	that	that	SCONJ
fumecheng-7698	121	7	with	with	ADP
fumecheng-7698	121	8	increasing	increase	VERB
fumecheng-7698	121	9	surface	surface	NOUN
fumecheng-7698	121	10	/	/	SYM
fumecheng-7698	121	11	interface	interface	NOUN
fumecheng-7698	121	12	mass	mass	NOUN
fumecheng-7698	121	13	density	density	NOUN
fumecheng-7698	121	14	𝝆𝑰,𝑺	𝝆𝑰,𝑺	PROPN
fumecheng-7698	121	15	,	,	PUNCT
fumecheng-7698	121	16	due	due	ADP
fumecheng-7698	121	17	to	to	ADP
fumecheng-7698	121	18	decreasing	decrease	VERB
fumecheng-7698	121	19	of	of	ADP
fumecheng-7698	121	20	the	the	DET
fumecheng-7698	121	21	pens	pen	NOUN
fumecheng-7698	121	22	stiffness	stiffness	NOUN
fumecheng-7698	121	23	,	,	PUNCT
fumecheng-7698	121	24	dnf	dnf	PROPN
fumecheng-7698	121	25	significantly	significantly	ADV
fumecheng-7698	121	26	decrease	decrease	VERB
fumecheng-7698	121	27	,	,	PUNCT
fumecheng-7698	121	28	but	but	CCONJ
fumecheng-7698	121	29	will	will	AUX
fumecheng-7698	121	30	not	not	PART
fumecheng-7698	121	31	have	have	VERB
fumecheng-7698	121	32	a	a	DET
fumecheng-7698	121	33	considerable	considerable	ADJ
fumecheng-7698	121	34	effect	effect	NOUN
fumecheng-7698	121	35	on	on	ADP
fumecheng-7698	121	36	pull	pull	NOUN
fumecheng-7698	121	37	-	-	PUNCT
fumecheng-7698	121	38	in	in	ADP
fumecheng-7698	121	39	voltage	voltage	NOUN
fumecheng-7698	121	40	and	and	CCONJ
fumecheng-7698	121	41	ndr	ndr	PROPN
fumecheng-7698	121	42	.	.	PROPN
fumecheng-7698	121	43	fig	fig	PROPN
fumecheng-7698	121	44	.	.	PUNCT
fumecheng-7698	122	1	11	11	NUM
fumecheng-7698	122	2	the	the	DET
fumecheng-7698	122	3	effect	effect	NOUN
fumecheng-7698	122	4	of	of	ADP
fumecheng-7698	122	5	surface	surface	NOUN
fumecheng-7698	122	6	𝜌𝑆	𝜌𝑆	PROPN
fumecheng-7698	122	7	and	and	CCONJ
fumecheng-7698	122	8	interface	interface	VERB
fumecheng-7698	122	9	𝜌𝐼	𝜌𝐼	PROPN
fumecheng-7698	122	10	mass	mass	ADJ
fumecheng-7698	122	11	density	density	NOUN
fumecheng-7698	122	12	for	for	ADP
fumecheng-7698	122	13	pull	pull	VERB
fumecheng-7698	122	14	in	in	ADP
fumecheng-7698	122	15	voltage	voltage	NOUN
fumecheng-7698	122	16	on	on	ADP
fumecheng-7698	122	17	dnf	dnf	PROPN
fumecheng-7698	122	18	of	of	ADP
fumecheng-7698	122	19	ss	ss	PROPN
fumecheng-7698	122	20	pens	pen	NOUN
fumecheng-7698	122	21	nonlinear	nonlinear	ADJ
fumecheng-7698	122	22	vibration	vibration	NOUN
fumecheng-7698	122	23	response	response	NOUN
fumecheng-7698	122	24	of	of	ADP
fumecheng-7698	122	25	piezoelectric	piezoelectric	ADJ
fumecheng-7698	122	26	nanosensor	nanosensor	NOUN
fumecheng-7698	122	27	:	:	PUNCT
fumecheng-7698	122	28	influences	influence	NOUN
fumecheng-7698	122	29	of	of	ADP
fumecheng-7698	122	30	surface	surface	NOUN
fumecheng-7698	122	31	/	/	SYM
fumecheng-7698	122	32	interface	interface	NOUN
fumecheng-7698	122	33	effects	effect	NOUN
fumecheng-7698	122	34	269	269	NUM
fumecheng-7698	122	35	fig	fig	NOUN
fumecheng-7698	122	36	.	.	PUNCT
fumecheng-7698	123	1	12	12	NUM
fumecheng-7698	123	2	influence	influence	NOUN
fumecheng-7698	123	3	of	of	ADP
fumecheng-7698	123	4	surface	surface	NOUN
fumecheng-7698	123	5	𝜌𝑆	𝜌𝑆	PROPN
fumecheng-7698	123	6	and	and	CCONJ
fumecheng-7698	123	7	interface	interface	VERB
fumecheng-7698	123	8	𝜌𝐼	𝜌𝐼	PROPN
fumecheng-7698	123	9	mass	mass	ADJ
fumecheng-7698	123	10	density	density	NOUN
fumecheng-7698	123	11	for	for	ADP
fumecheng-7698	123	12	pull	pull	VERB
fumecheng-7698	123	13	in	in	ADP
fumecheng-7698	123	14	voltage	voltage	NOUN
fumecheng-7698	123	15	on	on	ADP
fumecheng-7698	123	16	ndr	ndr	PROPN
fumecheng-7698	123	17	of	of	ADP
fumecheng-7698	123	18	ss	ss	PROPN
fumecheng-7698	123	19	pens	pen	NOUN
fumecheng-7698	123	20	with	with	ADP
fumecheng-7698	123	21	�	�	PROPN
fumecheng-7698	123	22	̅	̅	NOUN
fumecheng-7698	123	23	�	�	NOUN
fumecheng-7698	123	24	𝑝	𝑝	NOUN
fumecheng-7698	123	25	=	=	SYM
fumecheng-7698	123	26	1	1	NUM
fumecheng-7698	123	27	×	×	NOUN
fumecheng-7698	123	28	10−3	10−3	NUM
fumecheng-7698	123	29	;	;	PUNCT
fumecheng-7698	123	30	solid	solid	ADJ
fumecheng-7698	123	31	line	line	NOUN
fumecheng-7698	123	32	(	(	PUNCT
fumecheng-7698	123	33	-	-	PUNCT
fumecheng-7698	123	34	):	):	PUNCT
fumecheng-7698	123	35	stable	stable	ADJ
fumecheng-7698	123	36	,	,	PUNCT
fumecheng-7698	123	37	dashed	dash	VERB
fumecheng-7698	123	38	line(--	line(--	NOUN
fumecheng-7698	123	39	):	):	PUNCT
fumecheng-7698	123	40	unstable	unstable	ADJ
fumecheng-7698	123	41	in	in	ADP
fumecheng-7698	123	42	figs	fig	NOUN
fumecheng-7698	123	43	.	.	PUNCT
fumecheng-7698	124	1	13	13	NUM
fumecheng-7698	124	2	and	and	CCONJ
fumecheng-7698	124	3	14	14	NUM
fumecheng-7698	124	4	the	the	DET
fumecheng-7698	124	5	effects	effect	NOUN
fumecheng-7698	124	6	of	of	ADP
fumecheng-7698	124	7	surface	surface	NOUN
fumecheng-7698	124	8	/	/	SYM
fumecheng-7698	124	9	interface	interface	NOUN
fumecheng-7698	124	10	parameters	parameter	NOUN
fumecheng-7698	124	11	effects	effect	NOUN
fumecheng-7698	124	12	for	for	ADP
fumecheng-7698	124	13	pull	pull	NOUN
fumecheng-7698	124	14	-	-	PUNCT
fumecheng-7698	124	15	in	in	ADP
fumecheng-7698	124	16	instability	instability	NOUN
fumecheng-7698	124	17	analysis	analysis	NOUN
fumecheng-7698	124	18	respectively	respectively	ADV
fumecheng-7698	124	19	on	on	ADP
fumecheng-7698	124	20	dnf	dnf	PROPN
fumecheng-7698	124	21	and	and	CCONJ
fumecheng-7698	124	22	ndr	ndr	PROPN
fumecheng-7698	124	23	of	of	ADP
fumecheng-7698	124	24	ss	ss	NOUN
fumecheng-7698	124	25	pens	pen	NOUN
fumecheng-7698	124	26	are	be	AUX
fumecheng-7698	124	27	shown	show	VERB
fumecheng-7698	124	28	.	.	PUNCT
fumecheng-7698	125	1	it	it	PRON
fumecheng-7698	125	2	can	can	AUX
fumecheng-7698	125	3	be	be	AUX
fumecheng-7698	125	4	seen	see	VERB
fumecheng-7698	125	5	that	that	SCONJ
fumecheng-7698	125	6	with	with	ADP
fumecheng-7698	125	7	ignoring	ignore	VERB
fumecheng-7698	125	8	the	the	DET
fumecheng-7698	125	9	surface	surface	NOUN
fumecheng-7698	125	10	/	/	SYM
fumecheng-7698	125	11	interface	interface	NOUN
fumecheng-7698	125	12	density	density	NOUN
fumecheng-7698	125	13	𝜌𝐼,𝑆	𝜌𝐼,𝑆	NOUN
fumecheng-7698	125	14	,	,	PUNCT
fumecheng-7698	125	15	due	due	ADP
fumecheng-7698	125	16	to	to	ADP
fumecheng-7698	125	17	increasing	increase	VERB
fumecheng-7698	125	18	of	of	ADP
fumecheng-7698	125	19	pens	pen	NOUN
fumecheng-7698	125	20	stiffness	stiffness	NOUN
fumecheng-7698	125	21	,	,	PUNCT
fumecheng-7698	125	22	the	the	DET
fumecheng-7698	125	23	system	system	NOUN
fumecheng-7698	125	24	will	will	AUX
fumecheng-7698	125	25	have	have	VERB
fumecheng-7698	125	26	a	a	DET
fumecheng-7698	125	27	maximum	maximum	ADJ
fumecheng-7698	125	28	dnf	dnf	PROPN
fumecheng-7698	125	29	compared	compare	VERB
fumecheng-7698	125	30	to	to	ADP
fumecheng-7698	125	31	other	other	ADJ
fumecheng-7698	125	32	cases	case	NOUN
fumecheng-7698	125	33	.	.	PUNCT
fumecheng-7698	126	1	also	also	ADV
fumecheng-7698	126	2	considering	consider	VERB
fumecheng-7698	126	3	the	the	DET
fumecheng-7698	126	4	surface	surface	NOUN
fumecheng-7698	126	5	/	/	SYM
fumecheng-7698	126	6	interface	interface	NOUN
fumecheng-7698	126	7	effects	effect	NOUN
fumecheng-7698	126	8	of	of	ADP
fumecheng-7698	126	9	case	case	NOUN
fumecheng-7698	126	10	1	1	NUM
fumecheng-7698	126	11	in	in	ADP
fumecheng-7698	126	12	table	table	NOUN
fumecheng-7698	126	13	4	4	NUM
fumecheng-7698	126	14	,	,	PUNCT
fumecheng-7698	126	15	due	due	ADP
fumecheng-7698	126	16	to	to	ADP
fumecheng-7698	126	17	decreasing	decrease	VERB
fumecheng-7698	126	18	of	of	ADP
fumecheng-7698	126	19	nano	nano	NOUN
fumecheng-7698	126	20	shell	shell	NOUN
fumecheng-7698	126	21	stiffness	stiffness	NOUN
fumecheng-7698	126	22	,	,	PUNCT
fumecheng-7698	126	23	has	have	VERB
fumecheng-7698	126	24	a	a	DET
fumecheng-7698	126	25	lower	low	ADJ
fumecheng-7698	126	26	dnf	dnf	PROPN
fumecheng-7698	126	27	than	than	ADP
fumecheng-7698	126	28	the	the	DET
fumecheng-7698	126	29	case	case	NOUN
fumecheng-7698	126	30	of	of	ADP
fumecheng-7698	126	31	without	without	ADP
fumecheng-7698	126	32	s	s	PROPN
fumecheng-7698	126	33	/	/	SYM
fumecheng-7698	126	34	i	i	PRON
fumecheng-7698	126	35	effects	effect	NOUN
fumecheng-7698	126	36	.	.	PUNCT
fumecheng-7698	127	1	according	accord	VERB
fumecheng-7698	127	2	to	to	ADP
fumecheng-7698	127	3	this	this	DET
fumecheng-7698	127	4	figure	figure	NOUN
fumecheng-7698	127	5	,	,	PUNCT
fumecheng-7698	127	6	regardless	regardless	ADV
fumecheng-7698	127	7	the	the	DET
fumecheng-7698	127	8	lame	lame	NOUN
fumecheng-7698	127	9	’s	’s	PART
fumecheng-7698	127	10	constants	constant	NOUN
fumecheng-7698	127	11	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	127	12	and	and	CCONJ
fumecheng-7698	127	13	s	s	X
fumecheng-7698	127	14	/	/	SYM
fumecheng-7698	127	15	i	i	PRON
fumecheng-7698	127	16	stress	stress	VERB
fumecheng-7698	127	17	(	(	PUNCT
fumecheng-7698	127	18	𝜏0	𝜏0	NOUN
fumecheng-7698	127	19	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	127	20	)	)	PUNCT
fumecheng-7698	127	21	slightly	slightly	ADV
fumecheng-7698	127	22	lead	lead	VERB
fumecheng-7698	127	23	to	to	ADP
fumecheng-7698	127	24	decreasing	decrease	VERB
fumecheng-7698	127	25	of	of	ADP
fumecheng-7698	127	26	pens	pen	NOUN
fumecheng-7698	127	27	stiffness	stiffness	NOUN
fumecheng-7698	127	28	and	and	CCONJ
fumecheng-7698	127	29	as	as	ADP
fumecheng-7698	127	30	a	a	DET
fumecheng-7698	127	31	result	result	NOUN
fumecheng-7698	127	32	,	,	PUNCT
fumecheng-7698	127	33	the	the	DET
fumecheng-7698	127	34	dnf	dnf	PROPN
fumecheng-7698	127	35	is	be	AUX
fumecheng-7698	127	36	lower	low	ADJ
fumecheng-7698	127	37	than	than	ADP
fumecheng-7698	127	38	the	the	DET
fumecheng-7698	127	39	case	case	NOUN
fumecheng-7698	127	40	of	of	ADP
fumecheng-7698	127	41	with	with	ADP
fumecheng-7698	127	42	all	all	DET
fumecheng-7698	127	43	s	s	PROPN
fumecheng-7698	127	44	/	/	SYM
fumecheng-7698	127	45	i	i	PRON
fumecheng-7698	127	46	effects	effect	NOUN
fumecheng-7698	127	47	.	.	PUNCT
fumecheng-7698	128	1	the	the	DET
fumecheng-7698	128	2	surface	surface	NOUN
fumecheng-7698	128	3	piezoelectric	piezoelectric	NOUN
fumecheng-7698	128	4	constants	constant	NOUN
fumecheng-7698	128	5	(	(	PUNCT
fumecheng-7698	128	6	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	128	7	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	128	8	,	,	PUNCT
fumecheng-7698	128	9	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	128	10	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	128	11	)	)	PUNCT
fumecheng-7698	128	12	do	do	AUX
fumecheng-7698	128	13	not	not	PART
fumecheng-7698	128	14	have	have	VERB
fumecheng-7698	128	15	much	much	ADJ
fumecheng-7698	128	16	effect	effect	NOUN
fumecheng-7698	128	17	on	on	ADP
fumecheng-7698	128	18	the	the	DET
fumecheng-7698	128	19	dnf	dnf	PROPN
fumecheng-7698	128	20	.	.	PROPN
fumecheng-7698	128	21	fig	fig	PROPN
fumecheng-7698	128	22	.	.	PUNCT
fumecheng-7698	129	1	13	13	NUM
fumecheng-7698	129	2	the	the	DET
fumecheng-7698	129	3	effects	effect	NOUN
fumecheng-7698	129	4	of	of	ADP
fumecheng-7698	129	5	all	all	DET
fumecheng-7698	129	6	surface	surface	NOUN
fumecheng-7698	129	7	and	and	CCONJ
fumecheng-7698	129	8	interface	interface	NOUN
fumecheng-7698	129	9	parameters	parameter	NOUN
fumecheng-7698	129	10	for	for	ADP
fumecheng-7698	129	11	pull	pull	VERB
fumecheng-7698	129	12	in	in	ADP
fumecheng-7698	129	13	voltage	voltage	NOUN
fumecheng-7698	129	14	on	on	ADP
fumecheng-7698	129	15	dnf	dnf	PROPN
fumecheng-7698	129	16	of	of	ADP
fumecheng-7698	129	17	ss	ss	NOUN
fumecheng-7698	129	18	pens	pen	NOUN
fumecheng-7698	129	19	270	270	NUM
fumecheng-7698	129	20	s.	s.	PROPN
fumecheng-7698	129	21	h.	h.	PROPN
fumecheng-7698	129	22	h.	h.	PROPN
fumecheng-7698	129	23	kachapi	kachapi	PROPN
fumecheng-7698	129	24	fig	fig	PROPN
fumecheng-7698	129	25	.	.	PUNCT
fumecheng-7698	130	1	14	14	NUM
fumecheng-7698	130	2	influence	influence	NOUN
fumecheng-7698	130	3	of	of	ADP
fumecheng-7698	130	4	surface	surface	NOUN
fumecheng-7698	130	5	/	/	SYM
fumecheng-7698	130	6	interface	interface	NOUN
fumecheng-7698	130	7	lame	lame	NOUN
fumecheng-7698	130	8	’s	’s	PART
fumecheng-7698	130	9	constants	constant	NOUN
fumecheng-7698	130	10	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	130	11	for	for	ADP
fumecheng-7698	130	12	pull	pull	VERB
fumecheng-7698	130	13	in	in	ADP
fumecheng-7698	130	14	voltage	voltage	NOUN
fumecheng-7698	130	15	on	on	ADP
fumecheng-7698	130	16	ndr	ndr	PROPN
fumecheng-7698	130	17	of	of	ADP
fumecheng-7698	130	18	ss	ss	PROPN
fumecheng-7698	130	19	pens	pen	NOUN
fumecheng-7698	130	20	with	with	ADP
fumecheng-7698	130	21	�	�	PROPN
fumecheng-7698	130	22	̅	̅	NOUN
fumecheng-7698	130	23	�	�	NOUN
fumecheng-7698	130	24	𝑝	𝑝	NOUN
fumecheng-7698	130	25	=	=	SYM
fumecheng-7698	130	26	1	1	NUM
fumecheng-7698	130	27	×	×	NOUN
fumecheng-7698	130	28	10−3	10−3	NUM
fumecheng-7698	130	29	;	;	PUNCT
fumecheng-7698	130	30	solid	solid	ADJ
fumecheng-7698	130	31	line	line	NOUN
fumecheng-7698	130	32	(	(	PUNCT
fumecheng-7698	130	33	-	-	PUNCT
fumecheng-7698	130	34	):	):	PUNCT
fumecheng-7698	130	35	stable	stable	ADJ
fumecheng-7698	130	36	,	,	PUNCT
fumecheng-7698	130	37	dashed	dash	VERB
fumecheng-7698	130	38	line	line	NOUN
fumecheng-7698	130	39	(	(	PUNCT
fumecheng-7698	130	40	--	--	PUNCT
fumecheng-7698	130	41	):	):	PUNCT
fumecheng-7698	130	42	unstable	unstable	ADJ
fumecheng-7698	130	43	also	also	ADV
fumecheng-7698	130	44	,	,	PUNCT
fumecheng-7698	130	45	it	it	PRON
fumecheng-7698	130	46	can	can	AUX
fumecheng-7698	130	47	be	be	AUX
fumecheng-7698	130	48	seen	see	VERB
fumecheng-7698	130	49	that	that	SCONJ
fumecheng-7698	130	50	in	in	ADP
fumecheng-7698	130	51	dnf	dnf	PROPN
fumecheng-7698	130	52	analysis	analysis	NOUN
fumecheng-7698	130	53	,	,	PUNCT
fumecheng-7698	130	54	ignoring	ignore	VERB
fumecheng-7698	130	55	the	the	DET
fumecheng-7698	130	56	surface	surface	NOUN
fumecheng-7698	130	57	/	/	SYM
fumecheng-7698	130	58	interface	interface	NOUN
fumecheng-7698	130	59	density	density	NOUN
fumecheng-7698	130	60	𝜌𝐼,𝑆	𝜌𝐼,𝑆	NOUN
fumecheng-7698	130	61	,	,	PUNCT
fumecheng-7698	130	62	surface	surface	NOUN
fumecheng-7698	130	63	piezoelectric	piezoelectric	NOUN
fumecheng-7698	130	64	constants	constant	NOUN
fumecheng-7698	130	65	(	(	PUNCT
fumecheng-7698	130	66	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	130	67	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	130	68	,	,	PUNCT
fumecheng-7698	130	69	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	130	70	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	130	71	)	)	PUNCT
fumecheng-7698	130	72	and	and	CCONJ
fumecheng-7698	130	73	with	with	ADP
fumecheng-7698	130	74	all	all	DET
fumecheng-7698	130	75	s	s	PROPN
fumecheng-7698	130	76	/	/	SYM
fumecheng-7698	130	77	i	i	PROPN
fumecheng-7698	130	78	,	,	PUNCT
fumecheng-7698	130	79	the	the	DET
fumecheng-7698	130	80	ss	ss	NOUN
fumecheng-7698	130	81	pens	pen	NOUN
fumecheng-7698	130	82	has	have	VERB
fumecheng-7698	130	83	maximum	maximum	ADJ
fumecheng-7698	130	84	pull	pull	VERB
fumecheng-7698	130	85	-	-	PUNCT
fumecheng-7698	130	86	in	in	ADP
fumecheng-7698	130	87	voltage	voltage	NOUN
fumecheng-7698	130	88	,	,	PUNCT
fumecheng-7698	130	89	while	while	SCONJ
fumecheng-7698	130	90	in	in	ADP
fumecheng-7698	130	91	ndr	ndr	PROPN
fumecheng-7698	130	92	analysis	analysis	NOUN
fumecheng-7698	130	93	of	of	ADP
fumecheng-7698	130	94	ss	ss	NOUN
fumecheng-7698	130	95	pens	pen	NOUN
fumecheng-7698	130	96	,	,	PUNCT
fumecheng-7698	130	97	in	in	ADP
fumecheng-7698	130	98	case	case	NOUN
fumecheng-7698	130	99	of	of	ADP
fumecheng-7698	130	100	without	without	ADP
fumecheng-7698	130	101	all	all	DET
fumecheng-7698	130	102	s	s	NOUN
fumecheng-7698	130	103	/	/	SYM
fumecheng-7698	130	104	i	i	PRON
fumecheng-7698	130	105	has	have	VERB
fumecheng-7698	130	106	maximum	maximum	ADJ
fumecheng-7698	130	107	pull	pull	VERB
fumecheng-7698	130	108	-	-	PUNCT
fumecheng-7698	130	109	in	in	ADP
fumecheng-7698	130	110	voltage	voltage	NOUN
fumecheng-7698	130	111	.	.	PUNCT
fumecheng-7698	131	1	4	4	X
fumecheng-7698	131	2	.	.	X
fumecheng-7698	131	3	conclusion	conclusion	NOUN
fumecheng-7698	131	4	in	in	ADP
fumecheng-7698	131	5	current	current	ADJ
fumecheng-7698	131	6	study	study	NOUN
fumecheng-7698	131	7	,	,	PUNCT
fumecheng-7698	131	8	the	the	DET
fumecheng-7698	131	9	effect	effect	NOUN
fumecheng-7698	131	10	of	of	ADP
fumecheng-7698	131	11	surface	surface	NOUN
fumecheng-7698	131	12	/	/	SYM
fumecheng-7698	131	13	interface	interface	NOUN
fumecheng-7698	131	14	parameters	parameter	NOUN
fumecheng-7698	131	15	of	of	ADP
fumecheng-7698	131	16	piezoelectric	piezoelectric	NOUN
fumecheng-7698	131	17	nanosensor	nanosensor	NOUN
fumecheng-7698	131	18	such	such	ADJ
fumecheng-7698	131	19	as	as	ADP
fumecheng-7698	131	20	lame	lame	NOUN
fumecheng-7698	131	21	’s	’s	PART
fumecheng-7698	131	22	constants	constant	NOUN
fumecheng-7698	131	23	(	(	PUNCT
fumecheng-7698	131	24	𝜆𝐼,𝑆	𝜆𝐼,𝑆	NOUN
fumecheng-7698	131	25	,	,	PUNCT
fumecheng-7698	131	26	𝜇𝐼,𝑆	𝜇𝐼,𝑆	NOUN
fumecheng-7698	131	27	)	)	PUNCT
fumecheng-7698	131	28	,	,	PUNCT
fumecheng-7698	131	29	residual	residual	ADJ
fumecheng-7698	131	30	stress	stress	NOUN
fumecheng-7698	131	31	(	(	PUNCT
fumecheng-7698	131	32	𝜏0	𝜏0	PROPN
fumecheng-7698	131	33	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	131	34	)	)	PUNCT
fumecheng-7698	131	35	,	,	PUNCT
fumecheng-7698	131	36	piezoelectric	piezoelectric	NOUN
fumecheng-7698	131	37	constants	constant	NOUN
fumecheng-7698	131	38	(	(	PUNCT
fumecheng-7698	131	39	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	131	40	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	131	41	,	,	PUNCT
fumecheng-7698	131	42	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	131	43	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	131	44	)	)	PUNCT
fumecheng-7698	131	45	and	and	CCONJ
fumecheng-7698	131	46	mass	mass	ADJ
fumecheng-7698	131	47	density	density	NOUN
fumecheng-7698	131	48	(	(	PUNCT
fumecheng-7698	131	49	𝜌𝐼,𝑆	𝜌𝐼,𝑆	NOUN
fumecheng-7698	131	50	)	)	PUNCT
fumecheng-7698	131	51	are	be	AUX
fumecheng-7698	131	52	studied	study	VERB
fumecheng-7698	131	53	for	for	ADP
fumecheng-7698	131	54	pull	pull	NOUN
fumecheng-7698	131	55	-	-	PUNCT
fumecheng-7698	131	56	in	in	ADP
fumecheng-7698	131	57	instability	instability	NOUN
fumecheng-7698	131	58	analysis	analysis	NOUN
fumecheng-7698	131	59	on	on	ADP
fumecheng-7698	131	60	dimensionless	dimensionless	ADJ
fumecheng-7698	131	61	natural	natural	ADJ
fumecheng-7698	131	62	frequency	frequency	NOUN
fumecheng-7698	131	63	and	and	CCONJ
fumecheng-7698	131	64	nonlinear	nonlinear	ADJ
fumecheng-7698	131	65	dynamics	dynamic	NOUN
fumecheng-7698	131	66	response	response	NOUN
fumecheng-7698	131	67	.	.	PUNCT
fumecheng-7698	132	1	the	the	DET
fumecheng-7698	132	2	piezoelectric	piezoelectric	ADJ
fumecheng-7698	132	3	nanosensor	nanosensor	NOUN
fumecheng-7698	132	4	is	be	AUX
fumecheng-7698	132	5	subjected	subject	VERB
fumecheng-7698	132	6	to	to	ADP
fumecheng-7698	132	7	two	two	NUM
fumecheng-7698	132	8	piezoelectric	piezoelectric	ADJ
fumecheng-7698	132	9	layers	layer	NOUN
fumecheng-7698	132	10	,	,	PUNCT
fumecheng-7698	132	11	nonlinear	nonlinear	ADJ
fumecheng-7698	132	12	electrostatic	electrostatic	ADJ
fumecheng-7698	132	13	force	force	NOUN
fumecheng-7698	132	14	,	,	PUNCT
fumecheng-7698	132	15	harmonic	harmonic	ADJ
fumecheng-7698	132	16	excitations	excitation	NOUN
fumecheng-7698	132	17	and	and	CCONJ
fumecheng-7698	132	18	structural	structural	ADJ
fumecheng-7698	132	19	damping	damping	NOUN
fumecheng-7698	132	20	.	.	PUNCT
fumecheng-7698	133	1	to	to	PART
fumecheng-7698	133	2	achieve	achieve	VERB
fumecheng-7698	133	3	this	this	DET
fumecheng-7698	133	4	purpose	purpose	NOUN
fumecheng-7698	133	5	,	,	PUNCT
fumecheng-7698	133	6	the	the	DET
fumecheng-7698	133	7	hamilton	hamilton	PROPN
fumecheng-7698	133	8	’s	’s	PART
fumecheng-7698	133	9	approach	approach	NOUN
fumecheng-7698	133	10	,	,	PUNCT
fumecheng-7698	133	11	assumed	assume	VERB
fumecheng-7698	133	12	mode	mode	NOUN
fumecheng-7698	133	13	and	and	CCONJ
fumecheng-7698	133	14	lagrange	lagrange	PROPN
fumecheng-7698	133	15	–	–	PUNCT
fumecheng-7698	133	16	euler	euler	NOUN
fumecheng-7698	133	17	’s	’s	PART
fumecheng-7698	133	18	theories	theory	NOUN
fumecheng-7698	133	19	and	and	CCONJ
fumecheng-7698	133	20	also	also	ADV
fumecheng-7698	133	21	arc	arc	NOUN
fumecheng-7698	133	22	-	-	PUNCT
fumecheng-7698	133	23	length	length	NOUN
fumecheng-7698	133	24	continuation	continuation	NOUN
fumecheng-7698	133	25	and	and	CCONJ
fumecheng-7698	133	26	complex	complex	ADJ
fumecheng-7698	133	27	averaging	averaging	NOUN
fumecheng-7698	133	28	methods	method	NOUN
fumecheng-7698	133	29	are	be	AUX
fumecheng-7698	133	30	used	use	VERB
fumecheng-7698	133	31	.	.	PUNCT
fumecheng-7698	134	1	some	some	DET
fumecheng-7698	134	2	conclusions	conclusion	NOUN
fumecheng-7698	134	3	are	be	AUX
fumecheng-7698	134	4	obtained	obtain	VERB
fumecheng-7698	134	5	from	from	ADP
fumecheng-7698	134	6	this	this	DET
fumecheng-7698	134	7	study	study	NOUN
fumecheng-7698	134	8	:	:	PUNCT
fumecheng-7698	134	9	▪	▪	NOUN
fumecheng-7698	134	10	in	in	ADP
fumecheng-7698	134	11	the	the	DET
fumecheng-7698	134	12	case	case	NOUN
fumecheng-7698	134	13	of	of	ADP
fumecheng-7698	134	14	lower	low	ADJ
fumecheng-7698	134	15	(	(	PUNCT
fumecheng-7698	134	16	higher	high	ADJ
fumecheng-7698	134	17	)	)	PUNCT
fumecheng-7698	134	18	surface	surface	NOUN
fumecheng-7698	134	19	/	/	SYM
fumecheng-7698	134	20	interface	interface	NOUN
fumecheng-7698	134	21	densities	density	NOUN
fumecheng-7698	134	22	,	,	PUNCT
fumecheng-7698	134	23	its	its	PRON
fumecheng-7698	134	24	stiffness	stiffness	NOUN
fumecheng-7698	134	25	is	be	AUX
fumecheng-7698	134	26	increase	increase	NOUN
fumecheng-7698	134	27	(	(	PUNCT
fumecheng-7698	134	28	reduced	reduce	VERB
fumecheng-7698	134	29	)	)	PUNCT
fumecheng-7698	134	30	that	that	PRON
fumecheng-7698	134	31	leads	lead	VERB
fumecheng-7698	134	32	to	to	ADP
fumecheng-7698	134	33	increasing	increase	VERB
fumecheng-7698	134	34	(	(	PUNCT
fumecheng-7698	134	35	decreasing	decrease	VERB
fumecheng-7698	134	36	)	)	PUNCT
fumecheng-7698	134	37	of	of	ADP
fumecheng-7698	134	38	the	the	DET
fumecheng-7698	134	39	natural	natural	ADJ
fumecheng-7698	134	40	frequency	frequency	NOUN
fumecheng-7698	134	41	compared	compare	VERB
fumecheng-7698	134	42	to	to	ADP
fumecheng-7698	134	43	case	case	NOUN
fumecheng-7698	134	44	of	of	ADP
fumecheng-7698	134	45	without	without	ADP
fumecheng-7698	134	46	s	s	PROPN
fumecheng-7698	134	47	/	/	SYM
fumecheng-7698	134	48	i	i	PRON
fumecheng-7698	134	49	effects	effect	NOUN
fumecheng-7698	134	50	.	.	PUNCT
fumecheng-7698	135	1	▪	▪	NOUN
fumecheng-7698	135	2	the	the	DET
fumecheng-7698	135	3	cf	cf	NOUN
fumecheng-7698	135	4	(	(	PUNCT
fumecheng-7698	135	5	cc	cc	NOUN
fumecheng-7698	135	6	)	)	PUNCT
fumecheng-7698	135	7	boundary	boundary	ADJ
fumecheng-7698	135	8	condition	condition	NOUN
fumecheng-7698	135	9	with	with	ADP
fumecheng-7698	135	10	s	s	PROPN
fumecheng-7698	135	11	/	/	SYM
fumecheng-7698	135	12	i	i	PRON
fumecheng-7698	135	13	case1	case1	VERB
fumecheng-7698	135	14	(	(	PUNCT
fumecheng-7698	135	15	2	2	X
fumecheng-7698	135	16	)	)	PUNCT
fumecheng-7698	135	17	has	have	VERB
fumecheng-7698	135	18	the	the	DET
fumecheng-7698	135	19	lowest	low	ADJ
fumecheng-7698	135	20	(	(	PUNCT
fumecheng-7698	135	21	highest	high	ADJ
fumecheng-7698	135	22	)	)	PUNCT
fumecheng-7698	135	23	natural	natural	ADJ
fumecheng-7698	135	24	frequency	frequency	NOUN
fumecheng-7698	135	25	.	.	PUNCT
fumecheng-7698	136	1	▪	▪	X
fumecheng-7698	136	2	increasing	increase	VERB
fumecheng-7698	136	3	surface	surface	NOUN
fumecheng-7698	136	4	/	/	SYM
fumecheng-7698	136	5	interface	interface	NOUN
fumecheng-7698	136	6	lame	lame	NOUN
fumecheng-7698	136	7	’s	’s	PART
fumecheng-7698	136	8	constants	constant	NOUN
fumecheng-7698	136	9	𝜆𝐼,𝑆	𝜆𝐼,𝑆	PROPN
fumecheng-7698	136	10	and	and	CCONJ
fumecheng-7698	136	11	𝜇𝐼,𝑆	𝜇𝐼,𝑆	NOUN
fumecheng-7698	136	12	,	,	PUNCT
fumecheng-7698	136	13	surface	surface	NOUN
fumecheng-7698	136	14	/	/	SYM
fumecheng-7698	136	15	interface	interface	NOUN
fumecheng-7698	136	16	residual	residual	ADJ
fumecheng-7698	136	17	stress	stress	NOUN
fumecheng-7698	136	18	𝜏0	𝜏0	NOUN
fumecheng-7698	136	19	𝐼,𝑆	𝐼,𝑆	NOUN
fumecheng-7698	136	20	and	and	CCONJ
fumecheng-7698	136	21	negative	negative	ADJ
fumecheng-7698	136	22	surface	surface	NOUN
fumecheng-7698	136	23	piezoelectricity	piezoelectricity	NOUN
fumecheng-7698	136	24	constants	constant	NOUN
fumecheng-7698	137	1	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	137	2	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	137	3	and	and	CCONJ
fumecheng-7698	137	4	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	137	5	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	137	6	,	,	PUNCT
fumecheng-7698	137	7	due	due	ADP
fumecheng-7698	137	8	to	to	ADP
fumecheng-7698	137	9	increasing	increase	VERB
fumecheng-7698	137	10	of	of	ADP
fumecheng-7698	137	11	pens	pen	NOUN
fumecheng-7698	137	12	stiffness	stiffness	NOUN
fumecheng-7698	137	13	,	,	PUNCT
fumecheng-7698	137	14	in	in	ADP
fumecheng-7698	137	15	both	both	DET
fumecheng-7698	137	16	analysis	analysis	NOUN
fumecheng-7698	137	17	of	of	ADP
fumecheng-7698	137	18	dnf	dnf	PROPN
fumecheng-7698	137	19	and	and	CCONJ
fumecheng-7698	137	20	ndr	ndr	PROPN
fumecheng-7698	137	21	lead	lead	NOUN
fumecheng-7698	137	22	to	to	ADP
fumecheng-7698	137	23	increasing	increase	VERB
fumecheng-7698	137	24	of	of	ADP
fumecheng-7698	137	25	pull	pull	NOUN
fumecheng-7698	137	26	-	-	PUNCT
fumecheng-7698	137	27	in	in	ADP
fumecheng-7698	137	28	voltage	voltage	NOUN
fumecheng-7698	137	29	.	.	PUNCT
fumecheng-7698	138	1	nonlinear	nonlinear	ADJ
fumecheng-7698	138	2	vibration	vibration	ADJ
fumecheng-7698	138	3	response	response	NOUN
fumecheng-7698	138	4	of	of	ADP
fumecheng-7698	138	5	piezoelectric	piezoelectric	ADJ
fumecheng-7698	138	6	nanosensor	nanosensor	NOUN
fumecheng-7698	138	7	:	:	PUNCT
fumecheng-7698	138	8	influences	influence	NOUN
fumecheng-7698	138	9	of	of	ADP
fumecheng-7698	138	10	surface	surface	NOUN
fumecheng-7698	138	11	/	/	SYM
fumecheng-7698	138	12	interface	interface	NOUN
fumecheng-7698	138	13	effects	effect	NOUN
fumecheng-7698	138	14	271	271	NUM
fumecheng-7698	138	15	▪	▪	NOUN
fumecheng-7698	138	16	with	with	ADP
fumecheng-7698	138	17	increasing	increase	VERB
fumecheng-7698	138	18	surface	surface	NOUN
fumecheng-7698	138	19	/	/	SYM
fumecheng-7698	138	20	interface	interface	NOUN
fumecheng-7698	138	21	mass	mass	NOUN
fumecheng-7698	138	22	density	density	NOUN
fumecheng-7698	138	23	𝜌𝐼,𝑆	𝜌𝐼,𝑆	NOUN
fumecheng-7698	138	24	,	,	PUNCT
fumecheng-7698	138	25	due	due	ADP
fumecheng-7698	138	26	to	to	ADP
fumecheng-7698	138	27	decreasing	decrease	VERB
fumecheng-7698	138	28	of	of	ADP
fumecheng-7698	138	29	the	the	DET
fumecheng-7698	138	30	pens	pen	NOUN
fumecheng-7698	138	31	stiffness	stiffness	NOUN
fumecheng-7698	138	32	,	,	PUNCT
fumecheng-7698	138	33	dnf	dnf	PROPN
fumecheng-7698	138	34	significantly	significantly	ADV
fumecheng-7698	138	35	decrease	decrease	VERB
fumecheng-7698	138	36	,	,	PUNCT
fumecheng-7698	138	37	but	but	CCONJ
fumecheng-7698	138	38	will	will	AUX
fumecheng-7698	138	39	not	not	PART
fumecheng-7698	138	40	have	have	VERB
fumecheng-7698	138	41	a	a	DET
fumecheng-7698	138	42	significant	significant	ADJ
fumecheng-7698	138	43	impact	impact	NOUN
fumecheng-7698	138	44	on	on	ADP
fumecheng-7698	138	45	pull	pull	NOUN
fumecheng-7698	138	46	-	-	PUNCT
fumecheng-7698	138	47	in	in	ADP
fumecheng-7698	138	48	voltage	voltage	NOUN
fumecheng-7698	138	49	and	and	CCONJ
fumecheng-7698	138	50	ndr	ndr	PROPN
fumecheng-7698	138	51	.	.	PROPN
fumecheng-7698	138	52	▪	▪	NOUN
fumecheng-7698	138	53	in	in	ADP
fumecheng-7698	138	54	dnf	dnf	PROPN
fumecheng-7698	138	55	analysis	analysis	NOUN
fumecheng-7698	138	56	,	,	PUNCT
fumecheng-7698	138	57	ignoring	ignore	VERB
fumecheng-7698	138	58	the	the	DET
fumecheng-7698	138	59	surface	surface	NOUN
fumecheng-7698	138	60	/	/	SYM
fumecheng-7698	138	61	interface	interface	NOUN
fumecheng-7698	138	62	density	density	NOUN
fumecheng-7698	138	63	𝜌𝐼,𝑆	𝜌𝐼,𝑆	NOUN
fumecheng-7698	138	64	,	,	PUNCT
fumecheng-7698	138	65	surface	surface	NOUN
fumecheng-7698	138	66	piezoelectric	piezoelectric	NOUN
fumecheng-7698	138	67	constants	constant	NOUN
fumecheng-7698	138	68	(	(	PUNCT
fumecheng-7698	138	69	𝑒31𝑝	𝑒31𝑝	NOUN
fumecheng-7698	138	70	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	138	71	,	,	PUNCT
fumecheng-7698	138	72	𝑒32𝑝	𝑒32𝑝	ADP
fumecheng-7698	138	73	𝑠𝑘	𝑠𝑘	NOUN
fumecheng-7698	138	74	)	)	PUNCT
fumecheng-7698	138	75	and	and	CCONJ
fumecheng-7698	138	76	with	with	ADP
fumecheng-7698	138	77	all	all	DET
fumecheng-7698	138	78	s	s	PROPN
fumecheng-7698	138	79	/	/	SYM
fumecheng-7698	138	80	i	i	PROPN
fumecheng-7698	138	81	,	,	PUNCT
fumecheng-7698	138	82	the	the	DET
fumecheng-7698	138	83	ss	ss	NOUN
fumecheng-7698	138	84	pens	pen	NOUN
fumecheng-7698	138	85	has	have	VERB
fumecheng-7698	138	86	maximum	maximum	ADJ
fumecheng-7698	138	87	pull	pull	VERB
fumecheng-7698	138	88	-	-	PUNCT
fumecheng-7698	138	89	in	in	ADP
fumecheng-7698	138	90	voltage	voltage	NOUN
fumecheng-7698	138	91	,	,	PUNCT
fumecheng-7698	138	92	while	while	SCONJ
fumecheng-7698	138	93	in	in	ADP
fumecheng-7698	138	94	ndr	ndr	PROPN
fumecheng-7698	138	95	analysis	analysis	NOUN
fumecheng-7698	138	96	of	of	ADP
fumecheng-7698	138	97	ss	ss	NOUN
fumecheng-7698	138	98	pens	pen	NOUN
fumecheng-7698	138	99	,	,	PUNCT
fumecheng-7698	138	100	in	in	ADP
fumecheng-7698	138	101	case	case	NOUN
fumecheng-7698	138	102	of	of	ADP
fumecheng-7698	138	103	without	without	ADP
fumecheng-7698	138	104	all	all	DET
fumecheng-7698	138	105	s	s	NOUN
fumecheng-7698	138	106	/	/	SYM
fumecheng-7698	138	107	i	i	PRON
fumecheng-7698	138	108	has	have	VERB
fumecheng-7698	138	109	maximum	maximum	ADJ
fumecheng-7698	138	110	pull	pull	VERB
fumecheng-7698	138	111	-	-	PUNCT
fumecheng-7698	138	112	in	in	ADP
fumecheng-7698	138	113	voltage	voltage	NOUN
fumecheng-7698	138	114	.	.	PUNCT
fumecheng-7698	139	1	▪	▪	NOUN
fumecheng-7698	139	2	for	for	ADP
fumecheng-7698	139	3	different	different	ADJ
fumecheng-7698	139	4	surface	surface	NOUN
fumecheng-7698	139	5	/	/	SYM
fumecheng-7698	139	6	interface	interface	NOUN
fumecheng-7698	139	7	parameters	parameter	NOUN
fumecheng-7698	139	8	in	in	ADP
fumecheng-7698	139	9	ndr	ndr	PROPN
fumecheng-7698	139	10	analysis	analysis	NOUN
fumecheng-7698	139	11	,	,	PUNCT
fumecheng-7698	139	12	the	the	DET
fumecheng-7698	139	13	system	system	NOUN
fumecheng-7698	139	14	has	have	VERB
fumecheng-7698	139	15	stable	stable	ADJ
fumecheng-7698	139	16	or	or	CCONJ
fumecheng-7698	139	17	unstable	unstable	ADJ
fumecheng-7698	139	18	point	point	NOUN
fumecheng-7698	139	19	with	with	ADP
fumecheng-7698	139	20	saddle	saddle	NOUN
fumecheng-7698	139	21	-	-	PUNCT
fumecheng-7698	139	22	node	node	NOUN
fumecheng-7698	139	23	bifurcation	bifurcation	NOUN
fumecheng-7698	139	24	point	point	NOUN
fumecheng-7698	139	25	.	.	PUNCT
fumecheng-7698	140	1	references	reference	NOUN
fumecheng-7698	140	2	1	1	NUM
fumecheng-7698	140	3	.	.	PUNCT
fumecheng-7698	140	4	tzou	tzou	PROPN
fumecheng-7698	140	5	,	,	PUNCT
fumecheng-7698	140	6	h.	h.	PROPN
fumecheng-7698	140	7	,	,	PUNCT
fumecheng-7698	140	8	2019	2019	NUM
fumecheng-7698	140	9	,	,	PUNCT
fumecheng-7698	140	10	piezoelectric	piezoelectric	ADJ
fumecheng-7698	140	11	shells	shell	NOUN
fumecheng-7698	140	12	:	:	PUNCT
fumecheng-7698	140	13	sensing	sense	VERB
fumecheng-7698	140	14	,	,	PUNCT
fumecheng-7698	140	15	energy	energy	NOUN
fumecheng-7698	140	16	harvesting	harvesting	NOUN
fumecheng-7698	140	17	,	,	PUNCT
fumecheng-7698	140	18	and	and	CCONJ
fumecheng-7698	140	19	distributed	distributed	ADJ
fumecheng-7698	140	20	control	control	NOUN
fumecheng-7698	140	21	,	,	PUNCT
fumecheng-7698	140	22	springer	springer	NOUN
fumecheng-7698	140	23	,	,	PUNCT
fumecheng-7698	140	24	usa	usa	PROPN
fumecheng-7698	140	25	.	.	PROPN
fumecheng-7698	140	26	2	2	NUM
fumecheng-7698	140	27	.	.	X
fumecheng-7698	140	28	wang	wang	PROPN
fumecheng-7698	140	29	,	,	PUNCT
fumecheng-7698	140	30	l.	l.	PROPN
fumecheng-7698	140	31	,	,	PUNCT
fumecheng-7698	140	32	chen	chen	PROPN
fumecheng-7698	140	33	,	,	PUNCT
fumecheng-7698	140	34	w.	w.	PROPN
fumecheng-7698	140	35	,	,	PUNCT
fumecheng-7698	140	36	liu	liu	PROPN
fumecheng-7698	140	37	,	,	PUNCT
fumecheng-7698	140	38	j.	j.	PROPN
fumecheng-7698	140	39	,	,	PUNCT
fumecheng-7698	140	40	deng	deng	PROPN
fumecheng-7698	140	41	,	,	PUNCT
fumecheng-7698	140	42	j.	j.	PROPN
fumecheng-7698	140	43	,	,	PUNCT
fumecheng-7698	140	44	liu	liu	PROPN
fumecheng-7698	140	45	,	,	PUNCT
fumecheng-7698	140	46	y.	y.	PROPN
fumecheng-7698	140	47	,	,	PUNCT
fumecheng-7698	140	48	2011	2011	NUM
fumecheng-7698	140	49	,	,	PUNCT
fumecheng-7698	140	50	a	a	DET
fumecheng-7698	140	51	review	review	NOUN
fumecheng-7698	140	52	of	of	ADP
fumecheng-7698	140	53	recent	recent	ADJ
fumecheng-7698	140	54	studies	study	NOUN
fumecheng-7698	140	55	on	on	ADP
fumecheng-7698	140	56	non	non	ADJ
fumecheng-7698	140	57	-	-	ADJ
fumecheng-7698	140	58	resonant	resonant	ADJ
fumecheng-7698	140	59	piezoelectric	piezoelectric	NOUN
fumecheng-7698	140	60	actuators	actuator	NOUN
fumecheng-7698	140	61	,	,	PUNCT
fumecheng-7698	140	62	mechanical	mechanical	ADJ
fumecheng-7698	140	63	systems	system	NOUN
fumecheng-7698	140	64	and	and	CCONJ
fumecheng-7698	140	65	signal	signal	NOUN
fumecheng-7698	140	66	processing	processing	NOUN
fumecheng-7698	140	67	,	,	PUNCT
fumecheng-7698	140	68	11(4	11(4	NUM
fumecheng-7698	140	69	)	)	PUNCT
fumecheng-7698	140	70	,	,	PUNCT
fumecheng-7698	140	71	pp	pp	PROPN
fumecheng-7698	140	72	.	.	PUNCT
fumecheng-7698	141	1	187	187	NUM
fumecheng-7698	141	2	-	-	SYM
fumecheng-7698	141	3	96	96	NUM
fumecheng-7698	141	4	.	.	PUNCT
fumecheng-7698	142	1	3	3	X
fumecheng-7698	142	2	.	.	X
fumecheng-7698	142	3	nayfeh	nayfeh	PROPN
fumecheng-7698	142	4	,	,	PUNCT
fumecheng-7698	142	5	a.h	a.h	PROPN
fumecheng-7698	142	6	.	.	PROPN
fumecheng-7698	142	7	,	,	PUNCT
fumecheng-7698	142	8	ouakad	ouakad	VERB
fumecheng-7698	142	9	,	,	PUNCT
fumecheng-7698	142	10	h.m	h.m	PROPN
fumecheng-7698	142	11	.	.	PROPN
fumecheng-7698	142	12	,	,	PUNCT
fumecheng-7698	142	13	najar	najar	PROPN
fumecheng-7698	142	14	,	,	PUNCT
fumecheng-7698	142	15	f.	f.	PROPN
fumecheng-7698	142	16	,	,	PUNCT
fumecheng-7698	142	17	choura	choura	NOUN
fumecheng-7698	142	18	,	,	PUNCT
fumecheng-7698	142	19	s.	s.	PROPN
fumecheng-7698	142	20	,	,	PUNCT
fumecheng-7698	142	21	abdel	abdel	PROPN
fumecheng-7698	142	22	-	-	PUNCT
fumecheng-7698	142	23	rahman	rahman	PROPN
fumecheng-7698	142	24	,	,	PUNCT
fumecheng-7698	142	25	e.m	e.m	PROPN
fumecheng-7698	142	26	.	.	PROPN
fumecheng-7698	142	27	,	,	PUNCT
fumecheng-7698	142	28	2010	2010	NUM
fumecheng-7698	142	29	,	,	PUNCT
fumecheng-7698	142	30	nonlinear	nonlinear	ADJ
fumecheng-7698	142	31	dynamics	dynamic	NOUN
fumecheng-7698	142	32	of	of	ADP
fumecheng-7698	142	33	a	a	DET
fumecheng-7698	142	34	resonant	resonant	ADJ
fumecheng-7698	142	35	gas	gas	NOUN
fumecheng-7698	142	36	sensor	sensor	NOUN
fumecheng-7698	142	37	,	,	PUNCT
fumecheng-7698	142	38	nonlinear	nonlinear	ADJ
fumecheng-7698	142	39	dynamics	dynamic	NOUN
fumecheng-7698	142	40	,	,	PUNCT
fumecheng-7698	142	41	59	59	NUM
fumecheng-7698	142	42	,	,	PUNCT
fumecheng-7698	142	43	pp	pp	ADJ
fumecheng-7698	142	44	.	.	PUNCT
fumecheng-7698	143	1	607–618	607–618	NUM
fumecheng-7698	143	2	.	.	NOUN
fumecheng-7698	144	1	4	4	NUM
fumecheng-7698	144	2	.	.	X
fumecheng-7698	144	3	farokhi	farokhi	PROPN
fumecheng-7698	144	4	,	,	PUNCT
fumecheng-7698	144	5	h.	h.	PROPN
fumecheng-7698	144	6	,	,	PUNCT
fumecheng-7698	144	7	païdoussis	païdoussis	NOUN
fumecheng-7698	144	8	,	,	PUNCT
fumecheng-7698	144	9	m.	m.	NOUN
fumecheng-7698	144	10	p.	p.	PROPN
fumecheng-7698	144	11	,	,	PUNCT
fumecheng-7698	144	12	misra	misra	PROPN
fumecheng-7698	144	13	,	,	PUNCT
fumecheng-7698	144	14	a.	a.	NOUN
fumecheng-7698	144	15	,	,	PUNCT
fumecheng-7698	144	16	2018	2018	NUM
fumecheng-7698	144	17	,	,	PUNCT
fumecheng-7698	144	18	nonlinear	nonlinear	ADJ
fumecheng-7698	144	19	behaviour	behaviour	NOUN
fumecheng-7698	144	20	of	of	ADP
fumecheng-7698	144	21	cantilevered	cantilevered	ADJ
fumecheng-7698	144	22	carbon	carbon	NOUN
fumecheng-7698	144	23	nanotube	nanotube	NOUN
fumecheng-7698	144	24	resonators	resonator	NOUN
fumecheng-7698	144	25	based	base	VERB
fumecheng-7698	144	26	on	on	ADP
fumecheng-7698	144	27	a	a	DET
fumecheng-7698	144	28	new	new	ADJ
fumecheng-7698	144	29	nonlinear	nonlinear	ADJ
fumecheng-7698	144	30	electrostatic	electrostatic	ADJ
fumecheng-7698	144	31	load	load	NOUN
fumecheng-7698	144	32	model	model	NOUN
fumecheng-7698	144	33	,	,	PUNCT
fumecheng-7698	144	34	journal	journal	NOUN
fumecheng-7698	144	35	of	of	ADP
fumecheng-7698	144	36	sound	sound	NOUN
fumecheng-7698	144	37	and	and	CCONJ
fumecheng-7698	144	38	vibration	vibration	NOUN
fumecheng-7698	144	39	,	,	PUNCT
fumecheng-7698	144	40	49	49	NUM
fumecheng-7698	144	41	,	,	PUNCT
fumecheng-7698	144	42	pp	pp	ADJ
fumecheng-7698	144	43	.	.	PUNCT
fumecheng-7698	145	1	604	604	NUM
fumecheng-7698	145	2	-	-	SYM
fumecheng-7698	145	3	629	629	NUM
fumecheng-7698	145	4	.	.	NOUN
fumecheng-7698	146	1	5	5	NUM
fumecheng-7698	146	2	.	.	PUNCT
fumecheng-7698	146	3	prasanth	prasanth	NOUN
fumecheng-7698	146	4	,	,	PUNCT
fumecheng-7698	146	5	c.s.r	c.s.r	PROPN
fumecheng-7698	146	6	.	.	PROPN
fumecheng-7698	146	7	,	,	PUNCT
fumecheng-7698	146	8	harsha	harsha	PROPN
fumecheng-7698	146	9	,	,	PUNCT
fumecheng-7698	146	10	c.s	c.s	PROPN
fumecheng-7698	146	11	.	.	PROPN
fumecheng-7698	146	12	,	,	PUNCT
fumecheng-7698	146	13	pratiher	pratiher	PROPN
fumecheng-7698	146	14	,	,	PUNCT
fumecheng-7698	146	15	b.	b.	PROPN
fumecheng-7698	146	16	,	,	PUNCT
fumecheng-7698	146	17	2018	2018	NUM
fumecheng-7698	146	18	,	,	PUNCT
fumecheng-7698	146	19	electrostatic	electrostatic	ADJ
fumecheng-7698	146	20	pull	pull	NOUN
fumecheng-7698	146	21	-	-	PUNCT
fumecheng-7698	146	22	in	in	ADP
fumecheng-7698	146	23	analysis	analysis	NOUN
fumecheng-7698	146	24	of	of	ADP
fumecheng-7698	146	25	a	a	DET
fumecheng-7698	146	26	nonuniform	nonuniform	ADJ
fumecheng-7698	146	27	micro	micro	NOUN
fumecheng-7698	146	28	-	-	NOUN
fumecheng-7698	146	29	resonator	resonator	NOUN
fumecheng-7698	146	30	undergoing	undergo	VERB
fumecheng-7698	146	31	large	large	ADJ
fumecheng-7698	146	32	elastic	elastic	ADJ
fumecheng-7698	146	33	deflection	deflection	NOUN
fumecheng-7698	146	34	,	,	PUNCT
fumecheng-7698	146	35	proceedings	proceeding	NOUN
fumecheng-7698	146	36	of	of	ADP
fumecheng-7698	146	37	the	the	DET
fumecheng-7698	146	38	institution	institution	NOUN
fumecheng-7698	146	39	of	of	ADP
fumecheng-7698	146	40	mechanical	mechanical	ADJ
fumecheng-7698	146	41	engineers	engineer	NOUN
fumecheng-7698	146	42	,	,	PUNCT
fumecheng-7698	146	43	part	part	NOUN
fumecheng-7698	146	44	c	c	NOUN
fumecheng-7698	146	45	:	:	PUNCT
fumecheng-7698	146	46	journal	journal	NOUN
fumecheng-7698	146	47	of	of	ADP
fumecheng-7698	146	48	mechanical	mechanical	ADJ
fumecheng-7698	146	49	engineering	engineering	NOUN
fumecheng-7698	146	50	science	science	NOUN
fumecheng-7698	146	51	,	,	PUNCT
fumecheng-7698	146	52	18(232	18(232	PROPN
fumecheng-7698	146	53	)	)	PUNCT
fumecheng-7698	146	54	,	,	PUNCT
fumecheng-7698	146	55	pp	pp	ADP
fumecheng-7698	146	56	.	.	PUNCT
fumecheng-7698	147	1	3337	3337	NUM
fumecheng-7698	147	2	-	-	SYM
fumecheng-7698	147	3	3350	3350	NUM
fumecheng-7698	147	4	.	.	PUNCT
fumecheng-7698	148	1	6	6	NUM
fumecheng-7698	148	2	.	.	NUM
fumecheng-7698	148	3	pourkiaee	pourkiaee	VERB
fumecheng-7698	148	4	,	,	PUNCT
fumecheng-7698	148	5	s.	s.	PROPN
fumecheng-7698	148	6	m.	m.	PROPN
fumecheng-7698	148	7	,	,	PUNCT
fumecheng-7698	148	8	khadem	khadem	PROPN
fumecheng-7698	148	9	,	,	PUNCT
fumecheng-7698	148	10	s.	s.	PROPN
fumecheng-7698	148	11	e.	e.	PROPN
fumecheng-7698	148	12	,	,	PUNCT
fumecheng-7698	148	13	shahgholi	shahgholi	PROPN
fumecheng-7698	148	14	,	,	PUNCT
fumecheng-7698	148	15	m.	m.	NOUN
fumecheng-7698	148	16	,	,	PUNCT
fumecheng-7698	148	17	bab	bab	PROPN
fumecheng-7698	148	18	,	,	PUNCT
fumecheng-7698	148	19	s.	s.	PROPN
fumecheng-7698	148	20	,	,	PUNCT
fumecheng-7698	148	21	2017	2017	NUM
fumecheng-7698	148	22	,	,	PUNCT
fumecheng-7698	148	23	nonlinear	nonlinear	ADJ
fumecheng-7698	148	24	modal	modal	ADJ
fumecheng-7698	148	25	interactions	interaction	NOUN
fumecheng-7698	148	26	and	and	CCONJ
fumecheng-7698	148	27	bifurcations	bifurcation	NOUN
fumecheng-7698	148	28	of	of	ADP
fumecheng-7698	148	29	a	a	DET
fumecheng-7698	148	30	piezoelectric	piezoelectric	ADJ
fumecheng-7698	148	31	nanoresonator	nanoresonator	NOUN
fumecheng-7698	148	32	with	with	ADP
fumecheng-7698	148	33	three	three	NUM
fumecheng-7698	148	34	-	-	PUNCT
fumecheng-7698	148	35	to	to	ADP
fumecheng-7698	148	36	-	-	PUNCT
fumecheng-7698	148	37	one	one	NUM
fumecheng-7698	148	38	internal	internal	ADJ
fumecheng-7698	148	39	resonances	resonance	NOUN
fumecheng-7698	148	40	incorporating	incorporate	VERB
fumecheng-7698	148	41	surface	surface	NOUN
fumecheng-7698	148	42	effects	effect	NOUN
fumecheng-7698	148	43	and	and	CCONJ
fumecheng-7698	148	44	van	van	PROPN
fumecheng-7698	148	45	der	der	NOUN
fumecheng-7698	148	46	waals	waal	NOUN
fumecheng-7698	148	47	dissipation	dissipation	NOUN
fumecheng-7698	148	48	forces	force	NOUN
fumecheng-7698	148	49	,	,	PUNCT
fumecheng-7698	148	50	nonlinear	nonlinear	ADJ
fumecheng-7698	148	51	dynamics	dynamic	NOUN
fumecheng-7698	148	52	,	,	PUNCT
fumecheng-7698	148	53	88	88	NUM
fumecheng-7698	148	54	,	,	PUNCT
fumecheng-7698	148	55	pp	pp	ADJ
fumecheng-7698	148	56	.	.	PUNCT
fumecheng-7698	149	1	1785–1816	1785–1816	NUM
fumecheng-7698	149	2	.	.	PUNCT
fumecheng-7698	150	1	7	7	X
fumecheng-7698	150	2	.	.	X
fumecheng-7698	150	3	karimipour	karimipour	PROPN
fumecheng-7698	150	4	,	,	PUNCT
fumecheng-7698	150	5	i.	i.	PROPN
fumecheng-7698	150	6	,	,	PUNCT
fumecheng-7698	150	7	tadi	tadi	NOUN
fumecheng-7698	150	8	beni	beni	NOUN
fumecheng-7698	150	9	,	,	PUNCT
fumecheng-7698	150	10	y.	y.	PROPN
fumecheng-7698	150	11	,	,	PUNCT
fumecheng-7698	150	12	zeighampour	zeighampour	PROPN
fumecheng-7698	150	13	,	,	PUNCT
fumecheng-7698	150	14	h.	h.	PROPN
fumecheng-7698	150	15	,	,	PUNCT
fumecheng-7698	150	16	2018	2018	NUM
fumecheng-7698	150	17	,	,	PUNCT
fumecheng-7698	150	18	nonlinear	nonlinear	ADJ
fumecheng-7698	150	19	size	size	NOUN
fumecheng-7698	150	20	-	-	PUNCT
fumecheng-7698	150	21	dependent	dependent	ADJ
fumecheng-7698	150	22	pull	pull	NOUN
fumecheng-7698	150	23	-	-	PUNCT
fumecheng-7698	150	24	in	in	NOUN
fumecheng-7698	150	25	instability	instability	NOUN
fumecheng-7698	150	26	and	and	CCONJ
fumecheng-7698	150	27	stress	stress	NOUN
fumecheng-7698	150	28	analysis	analysis	NOUN
fumecheng-7698	150	29	of	of	ADP
fumecheng-7698	150	30	thin	thin	ADJ
fumecheng-7698	150	31	plate	plate	NOUN
fumecheng-7698	150	32	actuator	actuator	NOUN
fumecheng-7698	150	33	based	base	VERB
fumecheng-7698	150	34	on	on	ADP
fumecheng-7698	150	35	enhanced	enhanced	ADJ
fumecheng-7698	150	36	continuum	continuum	ADJ
fumecheng-7698	150	37	theories	theory	NOUN
fumecheng-7698	150	38	including	include	VERB
fumecheng-7698	150	39	nonlinear	nonlinear	ADJ
fumecheng-7698	150	40	effects	effect	NOUN
fumecheng-7698	150	41	and	and	CCONJ
fumecheng-7698	150	42	surface	surface	NOUN
fumecheng-7698	150	43	energy	energy	NOUN
fumecheng-7698	150	44	,	,	PUNCT
fumecheng-7698	150	45	microsystem	microsystem	NOUN
fumecheng-7698	150	46	technologies	technology	NOUN
fumecheng-7698	150	47	,	,	PUNCT
fumecheng-7698	150	48	24	24	NUM
fumecheng-7698	150	49	,	,	PUNCT
fumecheng-7698	150	50	pp	pp	ADJ
fumecheng-7698	150	51	.	.	PUNCT
fumecheng-7698	150	52	1811–1839	1811–1839	NUM
fumecheng-7698	150	53	.	.	PUNCT
fumecheng-7698	151	1	8	8	NUM
fumecheng-7698	151	2	.	.	X
fumecheng-7698	152	1	nikpourian	nikpourian	PROPN
fumecheng-7698	152	2	,	,	PUNCT
fumecheng-7698	152	3	a.	a.	PROPN
fumecheng-7698	152	4	r.	r.	PROPN
fumecheng-7698	152	5	,	,	PUNCT
fumecheng-7698	152	6	ghazavi	ghazavi	ADJ
fumecheng-7698	152	7	,	,	PUNCT
fumecheng-7698	152	8	m.	m.	NOUN
fumecheng-7698	152	9	r.	r.	PROPN
fumecheng-7698	152	10	,	,	PUNCT
fumecheng-7698	152	11	azizi	azizi	PROPN
fumecheng-7698	152	12	,	,	PUNCT
fumecheng-7698	152	13	s.	s.	PROPN
fumecheng-7698	152	14	,	,	PUNCT
fumecheng-7698	152	15	2018	2018	NUM
fumecheng-7698	152	16	,	,	PUNCT
fumecheng-7698	152	17	on	on	ADP
fumecheng-7698	152	18	the	the	DET
fumecheng-7698	152	19	nonlinear	nonlinear	ADJ
fumecheng-7698	152	20	dynamics	dynamic	NOUN
fumecheng-7698	152	21	of	of	ADP
fumecheng-7698	152	22	a	a	DET
fumecheng-7698	152	23	piezoelectrically	piezoelectrically	ADV
fumecheng-7698	152	24	tuned	tune	VERB
fumecheng-7698	152	25	microresonator	microresonator	NOUN
fumecheng-7698	152	26	based	base	VERB
fumecheng-7698	152	27	on	on	ADP
fumecheng-7698	152	28	non	non	ADJ
fumecheng-7698	152	29	-	-	ADJ
fumecheng-7698	152	30	classical	classical	ADJ
fumecheng-7698	152	31	elasticity	elasticity	NOUN
fumecheng-7698	152	32	theories	theory	NOUN
fumecheng-7698	152	33	,	,	PUNCT
fumecheng-7698	152	34	international	international	ADJ
fumecheng-7698	152	35	journal	journal	NOUN
fumecheng-7698	152	36	of	of	ADP
fumecheng-7698	152	37	mechanics	mechanic	NOUN
fumecheng-7698	152	38	and	and	CCONJ
fumecheng-7698	152	39	materials	material	NOUN
fumecheng-7698	152	40	in	in	ADP
fumecheng-7698	152	41	design	design	NOUN
fumecheng-7698	152	42	,	,	PUNCT
fumecheng-7698	152	43	14	14	NUM
fumecheng-7698	152	44	,	,	PUNCT
fumecheng-7698	152	45	pp	pp	ADJ
fumecheng-7698	152	46	.	.	PUNCT
fumecheng-7698	153	1	1–19	1–19	NOUN
fumecheng-7698	153	2	.	.	PUNCT
fumecheng-7698	154	1	9	9	X
fumecheng-7698	154	2	.	.	X
fumecheng-7698	154	3	zhang	zhang	PROPN
fumecheng-7698	154	4	,	,	PUNCT
fumecheng-7698	154	5	w.m	w.m	PROPN
fumecheng-7698	154	6	.	.	PROPN
fumecheng-7698	154	7	,	,	PUNCT
fumecheng-7698	154	8	yan	yan	PROPN
fumecheng-7698	154	9	,	,	PUNCT
fumecheng-7698	154	10	h.	h.	PROPN
fumecheng-7698	154	11	,	,	PUNCT
fumecheng-7698	154	12	peng	peng	PROPN
fumecheng-7698	154	13	,	,	PUNCT
fumecheng-7698	154	14	z.k	z.k	PROPN
fumecheng-7698	154	15	.	.	PROPN
fumecheng-7698	154	16	,	,	PUNCT
fumecheng-7698	154	17	meng	meng	PROPN
fumecheng-7698	154	18	,	,	PUNCT
fumecheng-7698	154	19	g.	g.	PROPN
fumecheng-7698	154	20	,	,	PUNCT
fumecheng-7698	154	21	2014	2014	NUM
fumecheng-7698	154	22	,	,	PUNCT
fumecheng-7698	154	23	electrostatic	electrostatic	ADJ
fumecheng-7698	154	24	pull	pull	NOUN
fumecheng-7698	154	25	-	-	PUNCT
fumecheng-7698	154	26	in	in	ADP
fumecheng-7698	154	27	instability	instability	NOUN
fumecheng-7698	154	28	in	in	ADP
fumecheng-7698	154	29	mems	mem	NOUN
fumecheng-7698	154	30	/	/	SYM
fumecheng-7698	154	31	nems	nem	NOUN
fumecheng-7698	154	32	:	:	PUNCT
fumecheng-7698	154	33	a	a	DET
fumecheng-7698	154	34	review	review	NOUN
fumecheng-7698	154	35	,	,	PUNCT
fumecheng-7698	154	36	sensors	sensor	NOUN
fumecheng-7698	154	37	and	and	CCONJ
fumecheng-7698	154	38	actuators	actuator	NOUN
fumecheng-7698	154	39	a	a	PRON
fumecheng-7698	154	40	:	:	PUNCT
fumecheng-7698	154	41	physical	physical	ADJ
fumecheng-7698	154	42	,	,	PUNCT
fumecheng-7698	154	43	214	214	NUM
fumecheng-7698	154	44	,	,	PUNCT
fumecheng-7698	154	45	pp	pp	ADJ
fumecheng-7698	154	46	.	.	PUNCT
fumecheng-7698	155	1	187–218	187–218	NUM
fumecheng-7698	155	2	.	.	PROPN
fumecheng-7698	156	1	10	10	NUM
fumecheng-7698	156	2	.	.	X
fumecheng-7698	157	1	sedighi	sedighi	PROPN
fumecheng-7698	157	2	,	,	PUNCT
fumecheng-7698	157	3	h.m	h.m	PROPN
fumecheng-7698	157	4	.	.	PROPN
fumecheng-7698	157	5	,	,	PUNCT
fumecheng-7698	157	6	2014	2014	NUM
fumecheng-7698	157	7	,	,	PUNCT
fumecheng-7698	157	8	size	size	NOUN
fumecheng-7698	157	9	-	-	PUNCT
fumecheng-7698	157	10	dependent	dependent	ADJ
fumecheng-7698	157	11	dynamic	dynamic	ADJ
fumecheng-7698	157	12	pull	pull	NOUN
fumecheng-7698	157	13	-	-	PUNCT
fumecheng-7698	157	14	in	in	ADP
fumecheng-7698	157	15	instability	instability	NOUN
fumecheng-7698	157	16	of	of	ADP
fumecheng-7698	157	17	vibrating	vibrate	VERB
fumecheng-7698	157	18	electrically	electrically	ADV
fumecheng-7698	157	19	actuated	actuate	VERB
fumecheng-7698	157	20	microbeams	microbeam	NOUN
fumecheng-7698	157	21	based	base	VERB
fumecheng-7698	157	22	on	on	ADP
fumecheng-7698	157	23	the	the	DET
fumecheng-7698	157	24	strain	strain	NOUN
fumecheng-7698	157	25	gradient	gradient	NOUN
fumecheng-7698	157	26	elasticity	elasticity	NOUN
fumecheng-7698	157	27	theory	theory	NOUN
fumecheng-7698	157	28	,	,	PUNCT
fumecheng-7698	157	29	acta	acta	PROPN
fumecheng-7698	157	30	astronautica	astronautica	PROPN
fumecheng-7698	157	31	,	,	PUNCT
fumecheng-7698	157	32	95	95	NUM
fumecheng-7698	157	33	,	,	PUNCT
fumecheng-7698	157	34	pp	pp	ADJ
fumecheng-7698	157	35	.	.	PUNCT
fumecheng-7698	157	36	111	111	NUM
fumecheng-7698	157	37	-	-	SYM
fumecheng-7698	157	38	123	123	NUM
fumecheng-7698	157	39	.	.	PUNCT
fumecheng-7698	158	1	11	11	NUM
fumecheng-7698	158	2	.	.	X
fumecheng-7698	158	3	sedighi	sedighi	PROPN
fumecheng-7698	158	4	,	,	PUNCT
fumecheng-7698	158	5	h.m	h.m	PROPN
fumecheng-7698	158	6	.	.	PROPN
fumecheng-7698	158	7	,	,	PUNCT
fumecheng-7698	158	8	koochi	koochi	PROPN
fumecheng-7698	158	9	,	,	PUNCT
fumecheng-7698	158	10	a.	a.	NOUN
fumecheng-7698	158	11	,	,	PUNCT
fumecheng-7698	158	12	daneshmand	daneshmand	PROPN
fumecheng-7698	158	13	,	,	PUNCT
fumecheng-7698	158	14	f.	f.	PROPN
fumecheng-7698	158	15	,	,	PUNCT
fumecheng-7698	158	16	abadyan	abadyan	PROPN
fumecheng-7698	158	17	,	,	PUNCT
fumecheng-7698	158	18	m.	m.	NOUN
fumecheng-7698	158	19	,	,	PUNCT
fumecheng-7698	158	20	2015	2015	NUM
fumecheng-7698	158	21	,	,	PUNCT
fumecheng-7698	158	22	non	non	ADJ
fumecheng-7698	158	23	-	-	ADJ
fumecheng-7698	158	24	linear	linear	ADJ
fumecheng-7698	158	25	dynamic	dynamic	ADJ
fumecheng-7698	158	26	instability	instability	NOUN
fumecheng-7698	158	27	of	of	ADP
fumecheng-7698	158	28	a	a	DET
fumecheng-7698	158	29	doublesided	doublesided	ADJ
fumecheng-7698	158	30	nano	nano	NOUN
fumecheng-7698	158	31	-	-	PUNCT
fumecheng-7698	158	32	bridge	bridge	NOUN
fumecheng-7698	158	33	considering	consider	VERB
fumecheng-7698	158	34	centrifugal	centrifugal	ADJ
fumecheng-7698	158	35	force	force	NOUN
fumecheng-7698	158	36	and	and	CCONJ
fumecheng-7698	158	37	rarefied	rarefied	ADJ
fumecheng-7698	158	38	gas	gas	NOUN
fumecheng-7698	158	39	flow	flow	NOUN
fumecheng-7698	158	40	,	,	PUNCT
fumecheng-7698	158	41	international	international	ADJ
fumecheng-7698	158	42	journal	journal	NOUN
fumecheng-7698	158	43	of	of	ADP
fumecheng-7698	158	44	non	non	ADJ
fumecheng-7698	158	45	-	-	ADJ
fumecheng-7698	158	46	linear	linear	ADJ
fumecheng-7698	158	47	mechanics	mechanic	NOUN
fumecheng-7698	158	48	,	,	PUNCT
fumecheng-7698	158	49	77	77	NUM
fumecheng-7698	158	50	,	,	PUNCT
fumecheng-7698	158	51	pp	pp	ADJ
fumecheng-7698	158	52	.	.	PUNCT
fumecheng-7698	159	1	96	96	NUM
fumecheng-7698	159	2	-	-	SYM
fumecheng-7698	159	3	106	106	NUM
fumecheng-7698	159	4	.	.	PUNCT
fumecheng-7698	160	1	12	12	NUM
fumecheng-7698	160	2	.	.	PUNCT
fumecheng-7698	161	1	y.	y.	NOUN
fumecheng-7698	161	2	tadi	tadi	PROPN
fumecheng-7698	161	3	beni	beni	PROPN
fumecheng-7698	161	4	,	,	PUNCT
fumecheng-7698	161	5	i.	i.	PROPN
fumecheng-7698	161	6	karimipour	karimipour	PROPN
fumecheng-7698	161	7	,	,	PUNCT
fumecheng-7698	161	8	m.	m.	NOUN
fumecheng-7698	161	9	abadyan	abadyan	PROPN
fumecheng-7698	161	10	,	,	PUNCT
fumecheng-7698	161	11	2014	2014	NUM
fumecheng-7698	161	12	,	,	PUNCT
fumecheng-7698	161	13	modeling	model	VERB
fumecheng-7698	161	14	the	the	DET
fumecheng-7698	161	15	instability	instability	NOUN
fumecheng-7698	161	16	of	of	ADP
fumecheng-7698	161	17	electrostatic	electrostatic	ADJ
fumecheng-7698	161	18	nano	nano	NOUN
fumecheng-7698	161	19	-	-	PUNCT
fumecheng-7698	161	20	bridges	bridge	NOUN
fumecheng-7698	161	21	and	and	CCONJ
fumecheng-7698	161	22	nanocantilevers	nanocantilever	NOUN
fumecheng-7698	161	23	using	use	VERB
fumecheng-7698	161	24	modified	modify	VERB
fumecheng-7698	161	25	strain	strain	NOUN
fumecheng-7698	161	26	gradient	gradient	NOUN
fumecheng-7698	161	27	theory	theory	NOUN
fumecheng-7698	161	28	,	,	PUNCT
fumecheng-7698	161	29	applied	apply	VERB
fumecheng-7698	161	30	mathematical	mathematical	ADJ
fumecheng-7698	161	31	modelling	modelling	NOUN
fumecheng-7698	161	32	.	.	PUNCT
fumecheng-7698	162	1	39	39	NUM
fumecheng-7698	162	2	,	,	PUNCT
fumecheng-7698	162	3	2633	2633	NUM
fumecheng-7698	162	4	-	-	SYM
fumecheng-7698	162	5	2648	2648	NUM
fumecheng-7698	162	6	.	.	PUNCT
fumecheng-7698	163	1	13	13	NUM
fumecheng-7698	163	2	.	.	PUNCT
fumecheng-7698	163	3	tadi	tadi	PROPN
fumecheng-7698	163	4	beni	beni	PROPN
fumecheng-7698	163	5	,	,	PUNCT
fumecheng-7698	163	6	y.	y.	PROPN
fumecheng-7698	163	7	,	,	PUNCT
fumecheng-7698	163	8	karimipour	karimipour	PROPN
fumecheng-7698	163	9	,	,	PUNCT
fumecheng-7698	163	10	i.	i.	PROPN
fumecheng-7698	163	11	,	,	PUNCT
fumecheng-7698	163	12	abadyan	abadyan	PROPN
fumecheng-7698	163	13	,	,	PUNCT
fumecheng-7698	163	14	m.	m.	NOUN
fumecheng-7698	163	15	,	,	PUNCT
fumecheng-7698	163	16	2014	2014	NUM
fumecheng-7698	163	17	,	,	PUNCT
fumecheng-7698	163	18	modeling	model	VERB
fumecheng-7698	163	19	the	the	DET
fumecheng-7698	163	20	effect	effect	NOUN
fumecheng-7698	163	21	of	of	ADP
fumecheng-7698	163	22	intermolecular	intermolecular	ADJ
fumecheng-7698	163	23	force	force	NOUN
fumecheng-7698	163	24	on	on	ADP
fumecheng-7698	163	25	the	the	DET
fumecheng-7698	163	26	sizedependent	sizedependent	NOUN
fumecheng-7698	163	27	pull	pull	VERB
fumecheng-7698	163	28	-	-	PUNCT
fumecheng-7698	163	29	in	in	ADP
fumecheng-7698	163	30	behavior	behavior	NOUN
fumecheng-7698	163	31	of	of	ADP
fumecheng-7698	163	32	beam	beam	NOUN
fumecheng-7698	163	33	-	-	PUNCT
fumecheng-7698	163	34	type	type	NOUN
fumecheng-7698	163	35	nems	nem	NOUN
fumecheng-7698	163	36	using	use	VERB
fumecheng-7698	163	37	modified	modified	ADJ
fumecheng-7698	163	38	couple	couple	NOUN
fumecheng-7698	163	39	stress	stress	NOUN
fumecheng-7698	163	40	theory	theory	NOUN
fumecheng-7698	163	41	,	,	PUNCT
fumecheng-7698	163	42	journal	journal	NOUN
fumecheng-7698	163	43	of	of	ADP
fumecheng-7698	163	44	mechanical	mechanical	ADJ
fumecheng-7698	163	45	science	science	NOUN
fumecheng-7698	163	46	and	and	CCONJ
fumecheng-7698	163	47	technology	technology	NOUN
fumecheng-7698	163	48	,	,	PUNCT
fumecheng-7698	163	49	28	28	NUM
fumecheng-7698	163	50	,	,	PUNCT
fumecheng-7698	163	51	pp	pp	ADJ
fumecheng-7698	163	52	.	.	PUNCT
fumecheng-7698	164	1	3749	3749	NUM
fumecheng-7698	164	2	-	-	SYM
fumecheng-7698	164	3	3757	3757	NUM
fumecheng-7698	164	4	.	.	PUNCT
fumecheng-7698	165	1	14	14	NUM
fumecheng-7698	165	2	.	.	PUNCT
fumecheng-7698	165	3	tadi	tadi	PROPN
fumecheng-7698	165	4	beni	beni	PROPN
fumecheng-7698	165	5	,	,	PUNCT
fumecheng-7698	165	6	y.	y.	PROPN
fumecheng-7698	165	7	,	,	PUNCT
fumecheng-7698	165	8	2016	2016	NUM
fumecheng-7698	165	9	,	,	PUNCT
fumecheng-7698	165	10	size	size	NOUN
fumecheng-7698	165	11	-	-	PUNCT
fumecheng-7698	165	12	dependent	dependent	ADJ
fumecheng-7698	165	13	analysis	analysis	NOUN
fumecheng-7698	165	14	of	of	ADP
fumecheng-7698	165	15	piezoelectric	piezoelectric	ADJ
fumecheng-7698	165	16	nanobeams	nanobeam	NOUN
fumecheng-7698	165	17	including	include	VERB
fumecheng-7698	165	18	electro	electro	ADJ
fumecheng-7698	165	19	-	-	PUNCT
fumecheng-7698	165	20	mechanical	mechanical	ADJ
fumecheng-7698	165	21	coupling	coupling	NOUN
fumecheng-7698	165	22	,	,	PUNCT
fumecheng-7698	165	23	mechanics	mechanic	NOUN
fumecheng-7698	165	24	research	research	NOUN
fumecheng-7698	165	25	communications	communication	NOUN
fumecheng-7698	165	26	,	,	PUNCT
fumecheng-7698	165	27	75	75	NUM
fumecheng-7698	165	28	,	,	PUNCT
fumecheng-7698	165	29	pp	pp	ADJ
fumecheng-7698	165	30	.	.	PUNCT
fumecheng-7698	166	1	67–80	67–80	NOUN
fumecheng-7698	166	2	.	.	PUNCT
fumecheng-7698	167	1	15	15	NUM
fumecheng-7698	167	2	.	.	X
fumecheng-7698	168	1	tajalli	tajalli	PROPN
fumecheng-7698	168	2	,	,	PUNCT
fumecheng-7698	168	3	s.	s.	PROPN
fumecheng-7698	168	4	a.	a.	PROPN
fumecheng-7698	168	5	,	,	PUNCT
fumecheng-7698	168	6	tajalli	tajalli	PROPN
fumecheng-7698	168	7	,	,	PUNCT
fumecheng-7698	168	8	s.	s.	PROPN
fumecheng-7698	168	9	m.	m.	PROPN
fumecheng-7698	168	10	,	,	PUNCT
fumecheng-7698	168	11	2019	2019	NUM
fumecheng-7698	168	12	,	,	PUNCT
fumecheng-7698	168	13	wavelet	wavelet	NOUN
fumecheng-7698	168	14	based	base	VERB
fumecheng-7698	168	15	damage	damage	NOUN
fumecheng-7698	168	16	identification	identification	NOUN
fumecheng-7698	168	17	and	and	CCONJ
fumecheng-7698	168	18	dynamic	dynamic	ADJ
fumecheng-7698	168	19	pull	pull	NOUN
fumecheng-7698	168	20	-	-	PUNCT
fumecheng-7698	168	21	in	in	ADP
fumecheng-7698	168	22	instability	instability	NOUN
fumecheng-7698	168	23	analysis	analysis	NOUN
fumecheng-7698	168	24	of	of	ADP
fumecheng-7698	168	25	electrostatically	electrostatically	ADV
fumecheng-7698	168	26	actuated	actuate	VERB
fumecheng-7698	168	27	coupled	couple	VERB
fumecheng-7698	168	28	domain	domain	NOUN
fumecheng-7698	168	29	microsystems	microsystem	NOUN
fumecheng-7698	168	30	using	use	VERB
fumecheng-7698	168	31	generalized	generalized	ADJ
fumecheng-7698	168	32	differential	differential	ADJ
fumecheng-7698	168	33	quadrature	quadrature	NOUN
fumecheng-7698	168	34	method	method	NOUN
fumecheng-7698	168	35	,	,	PUNCT
fumecheng-7698	168	36	mechanical	mechanical	ADJ
fumecheng-7698	168	37	systems	system	NOUN
fumecheng-7698	168	38	and	and	CCONJ
fumecheng-7698	168	39	signal	signal	NOUN
fumecheng-7698	168	40	processing	processing	NOUN
fumecheng-7698	168	41	,	,	PUNCT
fumecheng-7698	168	42	133	133	NUM
fumecheng-7698	168	43	,	,	PUNCT
fumecheng-7698	168	44	106256	106256	NUM
fumecheng-7698	168	45	.	.	PUNCT
fumecheng-7698	169	1	16	16	NUM
fumecheng-7698	169	2	.	.	PUNCT
fumecheng-7698	169	3	farokhi	farokhi	PROPN
fumecheng-7698	169	4	,	,	PUNCT
fumecheng-7698	169	5	h.	h.	PROPN
fumecheng-7698	169	6	,	,	PUNCT
fumecheng-7698	169	7	misra	misra	ADJ
fumecheng-7698	169	8	,	,	PUNCT
fumecheng-7698	169	9	a.	a.	PROPN
fumecheng-7698	169	10	k.	k.	PROPN
fumecheng-7698	169	11	,	,	PUNCT
fumecheng-7698	169	12	païdoussis	païdoussis	NOUN
fumecheng-7698	169	13	,	,	PUNCT
fumecheng-7698	169	14	m.	m.	NOUN
fumecheng-7698	169	15	p.	p.	PROPN
fumecheng-7698	169	16	,	,	PUNCT
fumecheng-7698	169	17	2017	2017	NUM
fumecheng-7698	169	18	,	,	PUNCT
fumecheng-7698	169	19	a	a	DET
fumecheng-7698	169	20	new	new	ADJ
fumecheng-7698	169	21	electrostatic	electrostatic	ADJ
fumecheng-7698	169	22	load	load	NOUN
fumecheng-7698	169	23	model	model	NOUN
fumecheng-7698	169	24	for	for	ADP
fumecheng-7698	169	25	initially	initially	ADV
fumecheng-7698	169	26	curved	curve	VERB
fumecheng-7698	169	27	carbon	carbon	NOUN
fumecheng-7698	169	28	nanotube	nanotube	NOUN
fumecheng-7698	169	29	resonators	resonator	NOUN
fumecheng-7698	169	30	:	:	PUNCT
fumecheng-7698	169	31	pull	pull	NOUN
fumecheng-7698	169	32	-	-	PUNCT
fumecheng-7698	169	33	in	in	ADP
fumecheng-7698	169	34	characteristics	characteristic	NOUN
fumecheng-7698	169	35	and	and	CCONJ
fumecheng-7698	169	36	nonlinear	nonlinear	ADJ
fumecheng-7698	169	37	resonant	resonant	ADJ
fumecheng-7698	169	38	behaviour	behaviour	NOUN
fumecheng-7698	169	39	,	,	PUNCT
fumecheng-7698	169	40	nonlinear	nonlinear	ADJ
fumecheng-7698	169	41	dynamics	dynamic	NOUN
fumecheng-7698	169	42	,	,	PUNCT
fumecheng-7698	169	43	88	88	NUM
fumecheng-7698	169	44	,	,	PUNCT
fumecheng-7698	169	45	pp	pp	ADJ
fumecheng-7698	169	46	.	.	PUNCT
fumecheng-7698	169	47	1187–1211	1187–1211	NUM
fumecheng-7698	169	48	.	.	PUNCT
fumecheng-7698	170	1	17	17	NUM
fumecheng-7698	170	2	.	.	PUNCT
fumecheng-7698	171	1	amabili	amabili	NOUN
fumecheng-7698	171	2	,	,	PUNCT
fumecheng-7698	171	3	m.	m.	NOUN
fumecheng-7698	171	4	,	,	PUNCT
fumecheng-7698	171	5	2008	2008	NUM
fumecheng-7698	171	6	,	,	PUNCT
fumecheng-7698	171	7	nonlinear	nonlinear	ADJ
fumecheng-7698	171	8	vibrations	vibration	NOUN
fumecheng-7698	171	9	and	and	CCONJ
fumecheng-7698	171	10	stability	stability	NOUN
fumecheng-7698	171	11	of	of	ADP
fumecheng-7698	171	12	shells	shell	NOUN
fumecheng-7698	171	13	and	and	CCONJ
fumecheng-7698	171	14	plates	plate	NOUN
fumecheng-7698	171	15	,	,	PUNCT
fumecheng-7698	171	16	cambridge	cambridge	PROPN
fumecheng-7698	171	17	university	university	PROPN
fumecheng-7698	171	18	press	press	NOUN
fumecheng-7698	171	19	,	,	PUNCT
fumecheng-7698	171	20	new	new	PROPN
fumecheng-7698	171	21	york	york	PROPN
fumecheng-7698	171	22	.	.	PUNCT
fumecheng-7698	172	1	18	18	NUM
fumecheng-7698	172	2	.	.	X
fumecheng-7698	172	3	bornassi	bornassi	PROPN
fumecheng-7698	172	4	,	,	PUNCT
fumecheng-7698	172	5	s.	s.	PROPN
fumecheng-7698	172	6	,	,	PUNCT
fumecheng-7698	172	7	haddadpour	haddadpour	NOUN
fumecheng-7698	172	8	,	,	PUNCT
fumecheng-7698	172	9	h.	h.	PROPN
fumecheng-7698	172	10	,	,	PUNCT
fumecheng-7698	172	11	2017	2017	NUM
fumecheng-7698	172	12	,	,	PUNCT
fumecheng-7698	172	13	nonlocal	nonlocal	ADJ
fumecheng-7698	172	14	vibration	vibration	NOUN
fumecheng-7698	172	15	and	and	CCONJ
fumecheng-7698	172	16	pull	pull	NOUN
fumecheng-7698	172	17	-	-	PUNCT
fumecheng-7698	172	18	in	in	ADP
fumecheng-7698	172	19	instability	instability	NOUN
fumecheng-7698	172	20	analysis	analysis	NOUN
fumecheng-7698	172	21	of	of	ADP
fumecheng-7698	172	22	electrostatic	electrostatic	ADJ
fumecheng-7698	172	23	carbonnanotube	carbonnanotube	NOUN
fumecheng-7698	172	24	based	base	VERB
fumecheng-7698	172	25	nems	nems	PROPN
fumecheng-7698	172	26	devices	device	NOUN
fumecheng-7698	172	27	,	,	PUNCT
fumecheng-7698	172	28	sensors	sensor	NOUN
fumecheng-7698	172	29	and	and	CCONJ
fumecheng-7698	172	30	actuators	actuator	NOUN
fumecheng-7698	172	31	a	a	PRON
fumecheng-7698	172	32	:	:	PUNCT
fumecheng-7698	172	33	physical	physical	ADJ
fumecheng-7698	172	34	,	,	PUNCT
fumecheng-7698	172	35	266	266	NUM
fumecheng-7698	172	36	,	,	PUNCT
fumecheng-7698	172	37	pp	pp	ADJ
fumecheng-7698	172	38	.	.	PUNCT
fumecheng-7698	173	1	185	185	NUM
fumecheng-7698	173	2	-	-	SYM
fumecheng-7698	173	3	196	196	NUM
fumecheng-7698	173	4	.	.	PUNCT
fumecheng-7698	174	1	https://www.sciencedirect.com/science/article/pii/s0888327019304698	https://www.sciencedirect.com/science/article/pii/s0888327019304698	NOUN
fumecheng-7698	174	2	#	#	NOUN
fumecheng-7698	174	3	!	!	PUNCT
fumecheng-7698	175	1	https://www.sciencedirect.com/science/article/pii/s0888327019304698	https://www.sciencedirect.com/science/article/pii/s0888327019304698	NOUN
fumecheng-7698	175	2	#	#	NOUN
fumecheng-7698	175	3	!	!	PUNCT
fumecheng-7698	176	1	https://www.sciencedirect.com/science/article/pii/s0888327019304698	https://www.sciencedirect.com/science/article/pii/s0888327019304698	NOUN
fumecheng-7698	176	2	#	#	NOUN
fumecheng-7698	176	3	!	!	PUNCT
fumecheng-7698	177	1	https://www.sciencedirect.com/science/article/pii/s0888327019304698	https://www.sciencedirect.com/science/article/pii/s0888327019304698	NOUN
fumecheng-7698	177	2	#	#	NOUN
fumecheng-7698	177	3	!	!	PUNCT
fumecheng-7698	178	1	https://www.sciencedirect.com/science/article/pii/s0888327019304698	https://www.sciencedirect.com/science/article/pii/s0888327019304698	NOUN
fumecheng-7698	178	2	#	#	NOUN
fumecheng-7698	178	3	!	!	PUNCT
fumecheng-7698	179	1	https://www.sciencedirect.com/science/journal/08883270	https://www.sciencedirect.com/science/journal/08883270	PROPN
fumecheng-7698	179	2	https://www.sciencedirect.com/science/journal/0022460x	https://www.sciencedirect.com/science/journal/0022460x	PROPN
fumecheng-7698	179	3	https://journals.sagepub.com/home/pic	https://journals.sagepub.com/home/pic	PROPN
fumecheng-7698	179	4	https://journals.sagepub.com/home/pic	https://journals.sagepub.com/home/pic	ADJ
fumecheng-7698	179	5	https://link.springer.com/journal/10999	https://link.springer.com/journal/10999	NOUN
fumecheng-7698	179	6	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	VERB
fumecheng-7698	179	7	#	#	SYM
fumecheng-7698	179	8	!	!	PUNCT
fumecheng-7698	180	1	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	NOUN
fumecheng-7698	180	2	#	#	NOUN
fumecheng-7698	180	3	!	!	PUNCT
fumecheng-7698	181	1	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	NOUN
fumecheng-7698	181	2	#	#	NOUN
fumecheng-7698	181	3	!	!	PUNCT
fumecheng-7698	182	1	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	NOUN
fumecheng-7698	182	2	#	#	NOUN
fumecheng-7698	182	3	!	!	PUNCT
fumecheng-7698	183	1	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	https://www.sciencedirect.com/science/article/abs/pii/s0020746215001407	NOUN
fumecheng-7698	183	2	#	#	NOUN
fumecheng-7698	183	3	!	!	PUNCT
fumecheng-7698	184	1	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	ADV
fumecheng-7698	184	2	#	#	NOUN
fumecheng-7698	184	3	!	!	PUNCT
fumecheng-7698	185	1	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	ADV
fumecheng-7698	185	2	#	#	NOUN
fumecheng-7698	185	3	!	!	PUNCT
fumecheng-7698	186	1	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	ADV
fumecheng-7698	186	2	#	#	NOUN
fumecheng-7698	186	3	!	!	PUNCT
fumecheng-7698	187	1	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	https://www.sciencedirect.com/science/article/abs/pii/s0307904x14005551	ADV
fumecheng-7698	187	2	#	#	NOUN
fumecheng-7698	187	3	!	!	PUNCT
fumecheng-7698	188	1	https://www.sciencedirect.com/science/article/pii/s0888327019304716	https://www.sciencedirect.com/science/article/pii/s0888327019304716	NOUN
fumecheng-7698	188	2	#	#	SYM
fumecheng-7698	188	3	!	!	PUNCT
fumecheng-7698	189	1	https://www.sciencedirect.com/science/article/pii/s0888327019304716	https://www.sciencedirect.com/science/article/pii/s0888327019304716	NOUN
fumecheng-7698	189	2	#	#	SYM
fumecheng-7698	189	3	!	!	PUNCT
fumecheng-7698	190	1	https://www.sciencedirect.com/science/journal/08883270	https://www.sciencedirect.com/science/journal/08883270	PROPN
fumecheng-7698	190	2	272	272	NUM
fumecheng-7698	190	3	s.	s.	PROPN
fumecheng-7698	190	4	h.	h.	PROPN
fumecheng-7698	190	5	h.	h.	PROPN
fumecheng-7698	190	6	kachapi	kachapi	PROPN
fumecheng-7698	191	1	19	19	NUM
fumecheng-7698	191	2	.	.	PUNCT
fumecheng-7698	192	1	gurtin	gurtin	PROPN
fumecheng-7698	192	2	,	,	PUNCT
fumecheng-7698	192	3	m.e	m.e	PROPN
fumecheng-7698	192	4	.	.	PROPN
fumecheng-7698	192	5	,	,	PUNCT
fumecheng-7698	192	6	murdoch	murdoch	PROPN
fumecheng-7698	192	7	,	,	PUNCT
fumecheng-7698	192	8	a.i	a.i	PROPN
fumecheng-7698	192	9	.	.	PROPN
fumecheng-7698	192	10	,	,	PUNCT
fumecheng-7698	192	11	1975	1975	NUM
fumecheng-7698	192	12	,	,	PUNCT
fumecheng-7698	192	13	a	a	DET
fumecheng-7698	192	14	continuum	continuum	ADJ
fumecheng-7698	192	15	theory	theory	NOUN
fumecheng-7698	192	16	of	of	ADP
fumecheng-7698	192	17	elastic	elastic	ADJ
fumecheng-7698	192	18	material	material	NOUN
fumecheng-7698	192	19	surface	surface	NOUN
fumecheng-7698	192	20	,	,	PUNCT
fumecheng-7698	192	21	archive	archive	NOUN
fumecheng-7698	192	22	for	for	ADP
fumecheng-7698	192	23	rational	rational	ADJ
fumecheng-7698	192	24	mechanics	mechanic	NOUN
fumecheng-7698	192	25	and	and	CCONJ
fumecheng-7698	192	26	analysis	analysis	NOUN
fumecheng-7698	192	27	,	,	PUNCT
fumecheng-7698	192	28	57	57	NUM
fumecheng-7698	192	29	,	,	PUNCT
fumecheng-7698	192	30	pp	pp	ADJ
fumecheng-7698	192	31	.	.	PUNCT
fumecheng-7698	193	1	291–323	291–323	NUM
fumecheng-7698	193	2	.	.	NOUN
fumecheng-7698	194	1	20	20	NUM
fumecheng-7698	194	2	.	.	PUNCT
fumecheng-7698	195	1	gurtin	gurtin	PROPN
fumecheng-7698	195	2	,	,	PUNCT
fumecheng-7698	195	3	m.e	m.e	PROPN
fumecheng-7698	195	4	.	.	PROPN
fumecheng-7698	195	5	,	,	PUNCT
fumecheng-7698	195	6	murdoch	murdoch	PROPN
fumecheng-7698	195	7	,	,	PUNCT
fumecheng-7698	195	8	a.i	a.i	PROPN
fumecheng-7698	195	9	.	.	PROPN
fumecheng-7698	195	10	,	,	PUNCT
fumecheng-7698	195	11	1978	1978	NUM
fumecheng-7698	195	12	,	,	PUNCT
fumecheng-7698	195	13	surface	surface	NOUN
fumecheng-7698	195	14	stress	stress	NOUN
fumecheng-7698	195	15	in	in	ADP
fumecheng-7698	195	16	solids	solid	NOUN
fumecheng-7698	195	17	,	,	PUNCT
fumecheng-7698	195	18	international	international	ADJ
fumecheng-7698	195	19	journal	journal	NOUN
fumecheng-7698	195	20	of	of	ADP
fumecheng-7698	195	21	solids	solid	NOUN
fumecheng-7698	195	22	and	and	CCONJ
fumecheng-7698	195	23	structures	structure	NOUN
fumecheng-7698	195	24	,	,	PUNCT
fumecheng-7698	195	25	14	14	NUM
fumecheng-7698	195	26	,	,	PUNCT
fumecheng-7698	195	27	pp	pp	ADJ
fumecheng-7698	195	28	.	.	PUNCT
fumecheng-7698	195	29	431–40	431–40	NUM
fumecheng-7698	195	30	.	.	PUNCT
fumecheng-7698	196	1	21	21	NUM
fumecheng-7698	196	2	.	.	X
fumecheng-7698	196	3	fang	fang	PROPN
fumecheng-7698	196	4	,	,	PUNCT
fumecheng-7698	196	5	x.q	x.q	PROPN
fumecheng-7698	196	6	.	.	PROPN
fumecheng-7698	196	7	,	,	PUNCT
fumecheng-7698	196	8	zhu	zhu	PROPN
fumecheng-7698	196	9	,	,	PUNCT
fumecheng-7698	196	10	c.s	c.s	PROPN
fumecheng-7698	196	11	.	.	PROPN
fumecheng-7698	196	12	,	,	PUNCT
fumecheng-7698	196	13	liu	liu	PROPN
fumecheng-7698	196	14	,	,	PUNCT
fumecheng-7698	196	15	j.x	j.x	PROPN
fumecheng-7698	196	16	.	.	PROPN
fumecheng-7698	196	17	,	,	PUNCT
fumecheng-7698	196	18	liu	liu	PROPN
fumecheng-7698	196	19	,	,	PUNCT
fumecheng-7698	196	20	x.l	x.l	PROPN
fumecheng-7698	196	21	.	.	PROPN
fumecheng-7698	196	22	,	,	PUNCT
fumecheng-7698	196	23	2018	2018	NUM
fumecheng-7698	196	24	,	,	PUNCT
fumecheng-7698	196	25	surface	surface	NOUN
fumecheng-7698	196	26	energy	energy	NOUN
fumecheng-7698	196	27	effect	effect	NOUN
fumecheng-7698	196	28	on	on	ADP
fumecheng-7698	196	29	free	free	ADJ
fumecheng-7698	196	30	vibration	vibration	NOUN
fumecheng-7698	196	31	of	of	ADP
fumecheng-7698	196	32	nano	nano	NOUN
fumecheng-7698	196	33	-	-	PUNCT
fumecheng-7698	196	34	sized	sized	ADJ
fumecheng-7698	196	35	piezoelectric	piezoelectric	ADJ
fumecheng-7698	196	36	double	double	ADJ
fumecheng-7698	196	37	-	-	PUNCT
fumecheng-7698	196	38	shell	shell	NOUN
fumecheng-7698	196	39	structures	structure	NOUN
fumecheng-7698	196	40	,	,	PUNCT
fumecheng-7698	196	41	physica	physica	NOUN
fumecheng-7698	196	42	b	b	PROPN
fumecheng-7698	196	43	:	:	PUNCT
fumecheng-7698	196	44	condensed	condense	VERB
fumecheng-7698	196	45	matter	matter	NOUN
fumecheng-7698	196	46	,	,	PUNCT
fumecheng-7698	196	47	529	529	NUM
fumecheng-7698	196	48	,	,	PUNCT
fumecheng-7698	196	49	pp	pp	ADJ
fumecheng-7698	196	50	.	.	PUNCT
fumecheng-7698	197	1	41	41	NUM
fumecheng-7698	197	2	-	-	SYM
fumecheng-7698	197	3	56	56	NUM
fumecheng-7698	197	4	.	.	NOUN
fumecheng-7698	198	1	22	22	NUM
fumecheng-7698	198	2	.	.	X
fumecheng-7698	198	3	fang	fang	PROPN
fumecheng-7698	198	4	,	,	PUNCT
fumecheng-7698	198	5	x.q	x.q	PROPN
fumecheng-7698	198	6	.	.	PROPN
fumecheng-7698	198	7	,	,	PUNCT
fumecheng-7698	198	8	zhu	zhu	PROPN
fumecheng-7698	198	9	,	,	PUNCT
fumecheng-7698	198	10	c.s	c.s	PROPN
fumecheng-7698	198	11	.	.	PROPN
fumecheng-7698	198	12	,	,	PUNCT
fumecheng-7698	198	13	liu	liu	PROPN
fumecheng-7698	198	14	,	,	PUNCT
fumecheng-7698	198	15	j.x	j.x	PROPN
fumecheng-7698	198	16	.	.	PROPN
fumecheng-7698	198	17	,	,	PUNCT
fumecheng-7698	198	18	zhao	zhao	PROPN
fumecheng-7698	198	19	,	,	PUNCT
fumecheng-7698	198	20	j.	j.	PROPN
fumecheng-7698	198	21	,	,	PUNCT
fumecheng-7698	198	22	2018	2018	NUM
fumecheng-7698	198	23	,	,	PUNCT
fumecheng-7698	198	24	surface	surface	NOUN
fumecheng-7698	198	25	energy	energy	NOUN
fumecheng-7698	198	26	effect	effect	NOUN
fumecheng-7698	198	27	on	on	ADP
fumecheng-7698	198	28	nonlinear	nonlinear	ADJ
fumecheng-7698	198	29	buckling	buckling	NOUN
fumecheng-7698	198	30	and	and	CCONJ
fumecheng-7698	198	31	postbuckling	postbuckle	VERB
fumecheng-7698	198	32	behavior	behavior	NOUN
fumecheng-7698	198	33	of	of	ADP
fumecheng-7698	198	34	functionally	functionally	ADV
fumecheng-7698	198	35	graded	grade	VERB
fumecheng-7698	198	36	piezoelectric	piezoelectric	ADJ
fumecheng-7698	198	37	cylindrical	cylindrical	ADJ
fumecheng-7698	198	38	nanoshells	nanoshell	NOUN
fumecheng-7698	198	39	under	under	ADP
fumecheng-7698	198	40	lateral	lateral	ADJ
fumecheng-7698	198	41	pressure	pressure	NOUN
fumecheng-7698	198	42	,	,	PUNCT
fumecheng-7698	198	43	materials	material	NOUN
fumecheng-7698	198	44	research	research	NOUN
fumecheng-7698	198	45	express	express	ADJ
fumecheng-7698	198	46	,	,	PUNCT
fumecheng-7698	198	47	5.4	5.4	NUM
fumecheng-7698	198	48	,	,	PUNCT
fumecheng-7698	198	49	045017	045017	NUM
fumecheng-7698	198	50	.	.	PUNCT
fumecheng-7698	199	1	23	23	NUM
fumecheng-7698	199	2	.	.	PUNCT
fumecheng-7698	200	1	hashemi	hashemi	PROPN
fumecheng-7698	200	2	kachapi	kachapi	PROPN
fumecheng-7698	200	3	,	,	PUNCT
fumecheng-7698	200	4	sayyid	sayyid	PROPN
fumecheng-7698	200	5	h.	h.	PROPN
fumecheng-7698	200	6	,	,	PUNCT
fumecheng-7698	200	7	dardel	dardel	PROPN
fumecheng-7698	200	8	,	,	PUNCT
fumecheng-7698	200	9	m.	m.	NOUN
fumecheng-7698	200	10	,	,	PUNCT
fumecheng-7698	200	11	mohamadi	mohamadi	NOUN
fumecheng-7698	200	12	daniali	daniali	PROPN
fumecheng-7698	200	13	,	,	PUNCT
fumecheng-7698	200	14	h.	h.	PROPN
fumecheng-7698	200	15	,	,	PUNCT
fumecheng-7698	200	16	fathi	fathi	PROPN
fumecheng-7698	200	17	,	,	PUNCT
fumecheng-7698	200	18	a.	a.	PROPN
fumecheng-7698	200	19	,	,	PUNCT
fumecheng-7698	200	20	2019	2019	NUM
fumecheng-7698	200	21	,	,	PUNCT
fumecheng-7698	200	22	effects	effect	NOUN
fumecheng-7698	200	23	of	of	ADP
fumecheng-7698	200	24	surface	surface	NOUN
fumecheng-7698	200	25	energy	energy	NOUN
fumecheng-7698	200	26	on	on	ADP
fumecheng-7698	200	27	vibration	vibration	NOUN
fumecheng-7698	200	28	characteristics	characteristic	NOUN
fumecheng-7698	200	29	of	of	ADP
fumecheng-7698	200	30	double	double	ADJ
fumecheng-7698	200	31	-	-	PUNCT
fumecheng-7698	200	32	walled	wall	VERB
fumecheng-7698	200	33	piezo	piezo	ADJ
fumecheng-7698	200	34	-	-	ADJ
fumecheng-7698	200	35	viscoelastic	viscoelastic	ADJ
fumecheng-7698	200	36	cylindrical	cylindrical	ADJ
fumecheng-7698	200	37	nanoshell	nanoshell	NOUN
fumecheng-7698	200	38	,	,	PUNCT
fumecheng-7698	200	39	proceedings	proceeding	NOUN
fumecheng-7698	200	40	of	of	ADP
fumecheng-7698	200	41	the	the	DET
fumecheng-7698	200	42	institution	institution	NOUN
fumecheng-7698	200	43	of	of	ADP
fumecheng-7698	200	44	mechanical	mechanical	ADJ
fumecheng-7698	200	45	engineers	engineer	NOUN
fumecheng-7698	200	46	,	,	PUNCT
fumecheng-7698	200	47	part	part	NOUN
fumecheng-7698	200	48	c	c	NOUN
fumecheng-7698	200	49	:	:	PUNCT
fumecheng-7698	200	50	journal	journal	NOUN
fumecheng-7698	200	51	of	of	ADP
fumecheng-7698	200	52	mechanical	mechanical	ADJ
fumecheng-7698	200	53	engineering	engineering	NOUN
fumecheng-7698	200	54	science	science	NOUN
fumecheng-7698	200	55	,	,	PUNCT
fumecheng-7698	200	56	15(233	15(233	NOUN
fumecheng-7698	200	57	)	)	PUNCT
fumecheng-7698	200	58	,	,	PUNCT
fumecheng-7698	200	59	pp	pp	ADJ
fumecheng-7698	200	60	.	.	PUNCT
fumecheng-7698	201	1	5264	5264	NUM
fumecheng-7698	201	2	-	-	SYM
fumecheng-7698	201	3	5279	5279	NUM
fumecheng-7698	201	4	.	.	PUNCT
fumecheng-7698	202	1	24	24	NUM
fumecheng-7698	202	2	.	.	X
fumecheng-7698	202	3	hashemi	hashemi	PROPN
fumecheng-7698	202	4	kachapi	kachapi	PROPN
fumecheng-7698	202	5	,	,	PUNCT
fumecheng-7698	202	6	sayyid	sayyid	PROPN
fumecheng-7698	202	7	h.	h.	PROPN
fumecheng-7698	202	8	,	,	PUNCT
fumecheng-7698	202	9	dardel	dardel	PROPN
fumecheng-7698	202	10	,	,	PUNCT
fumecheng-7698	202	11	m.	m.	NOUN
fumecheng-7698	202	12	,	,	PUNCT
fumecheng-7698	202	13	mohamadi	mohamadi	NOUN
fumecheng-7698	202	14	daniali	daniali	PROPN
fumecheng-7698	202	15	,	,	PUNCT
fumecheng-7698	202	16	h.	h.	PROPN
fumecheng-7698	202	17	,	,	PUNCT
fumecheng-7698	202	18	fathi	fathi	PROPN
fumecheng-7698	202	19	,	,	PUNCT
fumecheng-7698	202	20	a.	a.	PROPN
fumecheng-7698	202	21	,	,	PUNCT
fumecheng-7698	202	22	2019	2019	NUM
fumecheng-7698	202	23	,	,	PUNCT
fumecheng-7698	202	24	pull	pull	NOUN
fumecheng-7698	202	25	-	-	PUNCT
fumecheng-7698	202	26	in	in	ADP
fumecheng-7698	202	27	instability	instability	NOUN
fumecheng-7698	202	28	and	and	CCONJ
fumecheng-7698	202	29	nonlinear	nonlinear	ADJ
fumecheng-7698	202	30	vibration	vibration	NOUN
fumecheng-7698	202	31	analysis	analysis	NOUN
fumecheng-7698	202	32	of	of	ADP
fumecheng-7698	202	33	electrostatically	electrostatically	ADJ
fumecheng-7698	202	34	piezoelectric	piezoelectric	ADJ
fumecheng-7698	202	35	nanoresonator	nanoresonator	NOUN
fumecheng-7698	202	36	with	with	ADP
fumecheng-7698	202	37	surface	surface	NOUN
fumecheng-7698	202	38	/	/	SYM
fumecheng-7698	202	39	interface	interface	NOUN
fumecheng-7698	202	40	effects	effect	NOUN
fumecheng-7698	202	41	,	,	PUNCT
fumecheng-7698	202	42	thin	thin	ADJ
fumecheng-7698	202	43	-	-	PUNCT
fumecheng-7698	202	44	walled	walled	ADJ
fumecheng-7698	202	45	structures	structure	NOUN
fumecheng-7698	202	46	.	.	PUNCT
fumecheng-7698	203	1	143	143	NUM
fumecheng-7698	203	2	,	,	PUNCT
fumecheng-7698	203	3	106210	106210	NUM
fumecheng-7698	203	4	.	.	PUNCT
fumecheng-7698	204	1	25	25	NUM
fumecheng-7698	204	2	.	.	X
fumecheng-7698	205	1	hashemi	hashemi	PROPN
fumecheng-7698	205	2	kachapi	kachapi	PROPN
fumecheng-7698	205	3	,	,	PUNCT
fumecheng-7698	205	4	sayyid	sayyid	PROPN
fumecheng-7698	205	5	h.	h.	PROPN
fumecheng-7698	205	6	,	,	PUNCT
fumecheng-7698	205	7	dardel	dardel	PROPN
fumecheng-7698	205	8	,	,	PUNCT
fumecheng-7698	205	9	m.	m.	NOUN
fumecheng-7698	205	10	,	,	PUNCT
fumecheng-7698	205	11	mohamadi	mohamadi	NOUN
fumecheng-7698	205	12	daniali	daniali	PROPN
fumecheng-7698	205	13	,	,	PUNCT
fumecheng-7698	205	14	h.	h.	PROPN
fumecheng-7698	205	15	,	,	PUNCT
fumecheng-7698	205	16	fathi	fathi	PROPN
fumecheng-7698	205	17	,	,	PUNCT
fumecheng-7698	205	18	a.	a.	NOUN
fumecheng-7698	205	19	,	,	PUNCT
fumecheng-7698	205	20	2019	2019	NUM
fumecheng-7698	205	21	,	,	PUNCT
fumecheng-7698	205	22	nonlinear	nonlinear	ADJ
fumecheng-7698	205	23	dynamics	dynamic	NOUN
fumecheng-7698	205	24	and	and	CCONJ
fumecheng-7698	205	25	stability	stability	NOUN
fumecheng-7698	205	26	analysis	analysis	NOUN
fumecheng-7698	205	27	of	of	ADP
fumecheng-7698	205	28	piezo	piezo	ADJ
fumecheng-7698	205	29	-	-	ADJ
fumecheng-7698	205	30	visco	visco	ADJ
fumecheng-7698	205	31	medium	medium	ADJ
fumecheng-7698	205	32	nanoshell	nanoshell	NOUN
fumecheng-7698	205	33	resonator	resonator	NOUN
fumecheng-7698	205	34	with	with	ADP
fumecheng-7698	205	35	electrostatic	electrostatic	ADJ
fumecheng-7698	205	36	and	and	CCONJ
fumecheng-7698	205	37	harmonic	harmonic	ADJ
fumecheng-7698	205	38	actuation	actuation	NOUN
fumecheng-7698	205	39	,	,	PUNCT
fumecheng-7698	205	40	applied	apply	VERB
fumecheng-7698	205	41	mathematical	mathematical	ADJ
fumecheng-7698	205	42	modelling	modelling	NOUN
fumecheng-7698	205	43	,	,	PUNCT
fumecheng-7698	205	44	75	75	NUM
fumecheng-7698	205	45	,	,	PUNCT
fumecheng-7698	205	46	pp	pp	ADJ
fumecheng-7698	205	47	.	.	PUNCT
fumecheng-7698	206	1	279	279	NUM
fumecheng-7698	206	2	-	-	SYM
fumecheng-7698	206	3	309	309	NUM
fumecheng-7698	206	4	.	.	PUNCT
fumecheng-7698	207	1	26	26	NUM
fumecheng-7698	207	2	.	.	PUNCT
fumecheng-7698	208	1	hashemi	hashemi	PROPN
fumecheng-7698	208	2	kachapi	kachapi	PROPN
fumecheng-7698	208	3	,	,	PUNCT
fumecheng-7698	208	4	sayyid	sayyid	PROPN
fumecheng-7698	208	5	h.	h.	PROPN
fumecheng-7698	208	6	,	,	PUNCT
fumecheng-7698	208	7	dardel	dardel	PROPN
fumecheng-7698	208	8	,	,	PUNCT
fumecheng-7698	208	9	m.	m.	NOUN
fumecheng-7698	208	10	,	,	PUNCT
fumecheng-7698	208	11	mohamadi	mohamadi	NOUN
fumecheng-7698	208	12	daniali	daniali	PROPN
fumecheng-7698	208	13	,	,	PUNCT
fumecheng-7698	208	14	h.	h.	PROPN
fumecheng-7698	208	15	,	,	PUNCT
fumecheng-7698	208	16	fathi	fathi	PROPN
fumecheng-7698	208	17	,	,	PUNCT
fumecheng-7698	208	18	a.	a.	NOUN
fumecheng-7698	208	19	,	,	PUNCT
fumecheng-7698	208	20	2019	2019	NUM
fumecheng-7698	208	21	,	,	PUNCT
fumecheng-7698	208	22	nonlinear	nonlinear	ADJ
fumecheng-7698	208	23	vibration	vibration	NOUN
fumecheng-7698	208	24	and	and	CCONJ
fumecheng-7698	208	25	stability	stability	NOUN
fumecheng-7698	208	26	analysis	analysis	NOUN
fumecheng-7698	208	27	of	of	ADP
fumecheng-7698	208	28	double	double	ADJ
fumecheng-7698	208	29	-	-	PUNCT
fumecheng-7698	208	30	walled	wall	VERB
fumecheng-7698	208	31	piezoelectric	piezoelectric	NOUN
fumecheng-7698	208	32	nanoresonator	nanoresonator	NOUN
fumecheng-7698	208	33	with	with	ADP
fumecheng-7698	208	34	nonlinear	nonlinear	ADJ
fumecheng-7698	208	35	van	van	PROPN
fumecheng-7698	208	36	der	der	ADJ
fumecheng-7698	208	37	waals	waal	NOUN
fumecheng-7698	208	38	and	and	CCONJ
fumecheng-7698	208	39	electrostatic	electrostatic	ADJ
fumecheng-7698	208	40	excitation	excitation	NOUN
fumecheng-7698	208	41	,	,	PUNCT
fumecheng-7698	208	42	journal	journal	NOUN
fumecheng-7698	208	43	of	of	ADP
fumecheng-7698	208	44	vibration	vibration	NOUN
fumecheng-7698	208	45	and	and	CCONJ
fumecheng-7698	208	46	control	control	NOUN
fumecheng-7698	208	47	,	,	PUNCT
fumecheng-7698	208	48	9	9	NUM
fumecheng-7698	208	49	-	-	SYM
fumecheng-7698	208	50	10(26	10(26	NUM
fumecheng-7698	208	51	)	)	PUNCT
fumecheng-7698	208	52	,	,	PUNCT
fumecheng-7698	208	53	pp	pp	ADJ
fumecheng-7698	208	54	.	.	PUNCT
fumecheng-7698	209	1	680	680	NUM
fumecheng-7698	209	2	-	-	SYM
fumecheng-7698	209	3	700	700	NUM
fumecheng-7698	209	4	.	.	PUNCT
fumecheng-7698	210	1	27	27	NUM
fumecheng-7698	210	2	.	.	PUNCT
fumecheng-7698	211	1	hashemi	hashemi	PROPN
fumecheng-7698	211	2	kachapi	kachapi	PROPN
fumecheng-7698	211	3	,	,	PUNCT
fumecheng-7698	211	4	sayyid	sayyid	PROPN
fumecheng-7698	211	5	h.	h.	PROPN
fumecheng-7698	211	6	,	,	PUNCT
fumecheng-7698	211	7	mohamadi	mohamadi	NOUN
fumecheng-7698	211	8	daniali	daniali	PROPN
fumecheng-7698	211	9	,	,	PUNCT
fumecheng-7698	211	10	h.	h.	PROPN
fumecheng-7698	211	11	,	,	PUNCT
fumecheng-7698	211	12	dardel	dardel	PROPN
fumecheng-7698	211	13	,	,	PUNCT
fumecheng-7698	211	14	m.	m.	NOUN
fumecheng-7698	211	15	,	,	PUNCT
fumecheng-7698	211	16	fathi	fathi	PROPN
fumecheng-7698	211	17	,	,	PUNCT
fumecheng-7698	211	18	a.	a.	PROPN
fumecheng-7698	211	19	,	,	PUNCT
fumecheng-7698	211	20	2020	2020	NUM
fumecheng-7698	211	21	,	,	PUNCT
fumecheng-7698	211	22	the	the	DET
fumecheng-7698	211	23	effects	effect	NOUN
fumecheng-7698	211	24	of	of	ADP
fumecheng-7698	211	25	nonlocal	nonlocal	ADJ
fumecheng-7698	211	26	and	and	CCONJ
fumecheng-7698	211	27	surface	surface	NOUN
fumecheng-7698	211	28	/	/	SYM
fumecheng-7698	211	29	interface	interface	NOUN
fumecheng-7698	211	30	parameters	parameter	NOUN
fumecheng-7698	211	31	on	on	ADP
fumecheng-7698	211	32	nonlinear	nonlinear	ADJ
fumecheng-7698	211	33	vibrations	vibration	NOUN
fumecheng-7698	211	34	of	of	ADP
fumecheng-7698	211	35	piezoelectric	piezoelectric	ADJ
fumecheng-7698	211	36	nanoresonator	nanoresonator	NOUN
fumecheng-7698	211	37	,	,	PUNCT
fumecheng-7698	211	38	journal	journal	NOUN
fumecheng-7698	211	39	of	of	ADP
fumecheng-7698	211	40	intelligent	intelligent	ADJ
fumecheng-7698	211	41	material	material	NOUN
fumecheng-7698	211	42	systems	system	NOUN
fumecheng-7698	211	43	and	and	CCONJ
fumecheng-7698	211	44	structures	structure	NOUN
fumecheng-7698	211	45	,	,	PUNCT
fumecheng-7698	211	46	31(6	31(6	NUM
fumecheng-7698	211	47	)	)	PUNCT
fumecheng-7698	211	48	,	,	PUNCT
fumecheng-7698	211	49	pp	pp	ADP
fumecheng-7698	211	50	.	.	PUNCT
fumecheng-7698	212	1	818–842	818–842	NUM
fumecheng-7698	212	2	.	.	NOUN
fumecheng-7698	213	1	28	28	NUM
fumecheng-7698	213	2	.	.	PUNCT
fumecheng-7698	214	1	hashemi	hashemi	PROPN
fumecheng-7698	214	2	kachapi	kachapi	PROPN
fumecheng-7698	214	3	,	,	PUNCT
fumecheng-7698	214	4	sayyid	sayyid	PROPN
fumecheng-7698	214	5	h.	h.	PROPN
fumecheng-7698	214	6	,	,	PUNCT
fumecheng-7698	214	7	2020	2020	NUM
fumecheng-7698	214	8	,	,	PUNCT
fumecheng-7698	214	9	nonlinear	nonlinear	ADJ
fumecheng-7698	214	10	and	and	CCONJ
fumecheng-7698	214	11	nonclassical	nonclassical	ADJ
fumecheng-7698	214	12	vibration	vibration	NOUN
fumecheng-7698	214	13	analysis	analysis	NOUN
fumecheng-7698	214	14	of	of	ADP
fumecheng-7698	214	15	double	double	ADJ
fumecheng-7698	214	16	walled	wall	VERB
fumecheng-7698	214	17	piezoelectric	piezoelectric	NOUN
fumecheng-7698	214	18	nano	nano	NOUN
fumecheng-7698	214	19	-	-	PUNCT
fumecheng-7698	214	20	structure	structure	NOUN
fumecheng-7698	214	21	,	,	PUNCT
fumecheng-7698	214	22	advances	advance	NOUN
fumecheng-7698	214	23	in	in	ADP
fumecheng-7698	214	24	nano	nano	NOUN
fumecheng-7698	214	25	research	research	NOUN
fumecheng-7698	214	26	,	,	PUNCT
fumecheng-7698	214	27	an	an	DET
fumecheng-7698	214	28	international	international	ADJ
fumecheng-7698	214	29	journal	journal	NOUN
fumecheng-7698	214	30	,	,	PUNCT
fumecheng-7698	214	31	9(4	9(4	NUM
fumecheng-7698	214	32	)	)	PUNCT
fumecheng-7698	214	33	,	,	PUNCT
fumecheng-7698	214	34	pp	pp	PROPN
fumecheng-7698	214	35	.	.	PUNCT
fumecheng-7698	215	1	277	277	NUM
fumecheng-7698	215	2	-	-	SYM
fumecheng-7698	215	3	294	294	NUM
fumecheng-7698	215	4	.	.	PUNCT
fumecheng-7698	216	1	29	29	NUM
fumecheng-7698	216	2	.	.	PUNCT
fumecheng-7698	217	1	fan	fan	PROPN
fumecheng-7698	217	2	,	,	PUNCT
fumecheng-7698	217	3	t.	t.	PROPN
fumecheng-7698	217	4	,	,	PUNCT
fumecheng-7698	217	5	2015	2015	NUM
fumecheng-7698	217	6	,	,	PUNCT
fumecheng-7698	217	7	nano	nano	NOUN
fumecheng-7698	217	8	-	-	PUNCT
fumecheng-7698	217	9	scale	scale	NOUN
fumecheng-7698	217	10	energy	energy	NOUN
fumecheng-7698	217	11	harvester	harvester	NOUN
fumecheng-7698	217	12	of	of	ADP
fumecheng-7698	217	13	piezoelectric	piezoelectric	NOUN
fumecheng-7698	217	14	/	/	SYM
fumecheng-7698	217	15	piezomagnetic	piezomagnetic	ADJ
fumecheng-7698	217	16	structures	structure	NOUN
fumecheng-7698	217	17	with	with	ADP
fumecheng-7698	217	18	torsional	torsional	ADJ
fumecheng-7698	217	19	mode	mode	NOUN
fumecheng-7698	217	20	,	,	PUNCT
fumecheng-7698	217	21	mechanical	mechanical	ADJ
fumecheng-7698	217	22	systems	system	NOUN
fumecheng-7698	217	23	and	and	CCONJ
fumecheng-7698	217	24	signal	signal	NOUN
fumecheng-7698	217	25	processing	processing	NOUN
fumecheng-7698	217	26	,	,	PUNCT
fumecheng-7698	217	27	26	26	NUM
fumecheng-7698	217	28	,	,	PUNCT
fumecheng-7698	217	29	pp	pp	ADJ
fumecheng-7698	217	30	.	.	PUNCT
fumecheng-7698	217	31	1150–1163	1150–1163	NUM
fumecheng-7698	217	32	.	.	NOUN
fumecheng-7698	217	33	30	30	NUM
fumecheng-7698	217	34	.	.	X
fumecheng-7698	218	1	manevitch	manevitch	NOUN
fumecheng-7698	218	2	,	,	PUNCT
fumecheng-7698	218	3	a.i	a.i	PROPN
fumecheng-7698	218	4	.	.	PROPN
fumecheng-7698	218	5	,	,	PUNCT
fumecheng-7698	218	6	manevitch	manevitch	PROPN
fumecheng-7698	218	7	,	,	PUNCT
fumecheng-7698	218	8	l.i	l.i	PROPN
fumecheng-7698	218	9	.	.	PROPN
fumecheng-7698	218	10	,	,	PUNCT
fumecheng-7698	218	11	2005	2005	NUM
fumecheng-7698	218	12	,	,	PUNCT
fumecheng-7698	218	13	the	the	DET
fumecheng-7698	218	14	mechanics	mechanic	NOUN
fumecheng-7698	218	15	of	of	ADP
fumecheng-7698	218	16	nonlinear	nonlinear	ADJ
fumecheng-7698	218	17	systems	system	NOUN
fumecheng-7698	218	18	with	with	ADP
fumecheng-7698	218	19	internal	internal	ADJ
fumecheng-7698	218	20	resonance	resonance	NOUN
fumecheng-7698	218	21	,	,	PUNCT
fumecheng-7698	218	22	imperial	imperial	ADJ
fumecheng-7698	218	23	college	college	NOUN
fumecheng-7698	218	24	press	press	PROPN
fumecheng-7698	218	25	,	,	PUNCT
fumecheng-7698	218	26	london	london	PROPN
fumecheng-7698	218	27	.	.	PUNCT
fumecheng-7698	219	1	http://iopscience.iop.org/journal/2053-1591	http://iopscience.iop.org/journal/2053-1591	PROPN
fumecheng-7698	220	1	http://iopscience.iop.org/journal/2053-1591	http://iopscience.iop.org/journal/2053-1591	PROPN
fumecheng-7698	220	2	https://journals.sagepub.com/home/pic	https://journals.sagepub.com/home/pic	PROPN
fumecheng-7698	220	3	https://journals.sagepub.com/home/pic	https://journals.sagepub.com/home/pic	PROPN
fumecheng-7698	220	4	https://www.sciencedirect.com/science/journal/0307904x	https://www.sciencedirect.com/science/journal/0307904x	PROPN
fumecheng-7698	220	5	https://www.sciencedirect.com/science/journal/0307904x	https://www.sciencedirect.com/science/journal/0307904x	PROPN
fumecheng-7698	220	6	https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&ved=2ahukewjuvfurgzrpahwyqhuihysmaeoqfjabegqiebac&url=https%3a%2f%2fonlinelibrary.wiley.com%2fjournal%2f15214001&usg=aovvaw2dqpwnctfmikcxbs1xlo57	https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=2&ved=2ahukewjuvfurgzrpahwyqhuihysmaeoqfjabegqiebac&url=https%3a%2f%2fonlinelibrary.wiley.com%2fjournal%2f15214001&usg=aovvaw2dqpwnctfmikcxbs1xlo57	VERB
fumecheng-7698	220	7	https://www.sciencedirect.com/science/article/pii/s0888327018302085	https://www.sciencedirect.com/science/article/pii/s0888327018302085	NOUN
fumecheng-7698	220	8	#	#	NOUN
fumecheng-7698	220	9	!	!	PUNCT
fumecheng-7698	221	1	https://www.sciencedirect.com/science/journal/08883270	https://www.sciencedirect.com/science/journal/08883270	PROPN