id	sid	tid	token	lemma	pos
fumecheng-7390	1	1	plane	plane	NOUN
fumecheng-7390	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-7390	1	3	waves	wave	NOUN
fumecheng-7390	1	4	in	in	ADP
fumecheng-7390	1	5	infinite	infinite	ADJ
fumecheng-7390	1	6	half	half	ADJ
fumecheng-7390	1	7	-	-	PUNCT
fumecheng-7390	1	8	space	space	NOUN
fumecheng-7390	1	9	caused	cause	VERB
fumecheng-7390	1	10	facta	facta	PROPN
fumecheng-7390	1	11	universitatis	universitatis	PROPN
fumecheng-7390	1	12	series	series	NOUN
fumecheng-7390	1	13	:	:	PUNCT
fumecheng-7390	1	14	mechanical	mechanical	ADJ
fumecheng-7390	1	15	engineering	engineering	NOUN
fumecheng-7390	1	16	vol	vol	NOUN
fumecheng-7390	1	17	.	.	PROPN
fumecheng-7390	2	1	19	19	NUM
fumecheng-7390	2	2	,	,	PUNCT
fumecheng-7390	2	3	no	no	DET
fumecheng-7390	2	4	1	1	NUM
fumecheng-7390	2	5	,	,	PUNCT
fumecheng-7390	2	6	2021	2021	NUM
fumecheng-7390	2	7	,	,	PUNCT
fumecheng-7390	2	8	pp	pp	ADV
fumecheng-7390	2	9	.	.	PUNCT
fumecheng-7390	3	1	105	105	NUM
fumecheng-7390	3	2	113	113	NUM
fumecheng-7390	3	3	https://doi.org/10.22190/fume201226017p	https://doi.org/10.22190/fume201226017p	PROPN
fumecheng-7390	3	4	©	©	PROPN
fumecheng-7390	3	5	2021	2021	NUM
fumecheng-7390	3	6	by	by	ADP
fumecheng-7390	3	7	university	university	PROPN
fumecheng-7390	3	8	of	of	ADP
fumecheng-7390	3	9	niš	niš	PROPN
fumecheng-7390	3	10	,	,	PUNCT
fumecheng-7390	3	11	serbia	serbia	PROPN
fumecheng-7390	3	12	|	|	ADV
fumecheng-7390	3	13	creative	creative	ADJ
fumecheng-7390	3	14	commons	common	NOUN
fumecheng-7390	3	15	license	license	NOUN
fumecheng-7390	3	16	:	:	PUNCT
fumecheng-7390	3	17	cc	cc	VERB
fumecheng-7390	3	18	by	by	ADP
fumecheng-7390	3	19	-	-	PUNCT
fumecheng-7390	3	20	nc	nc	VERB
fumecheng-7390	3	21	-	-	PUNCT
fumecheng-7390	3	22	nd	nd	ADV
fumecheng-7390	3	23	original	original	ADJ
fumecheng-7390	3	24	scientific	scientific	ADJ
fumecheng-7390	3	25	paper	paper	NUM
fumecheng-7390	3	26	friction	friction	NOUN
fumecheng-7390	3	27	under	under	ADP
fumecheng-7390	3	28	large	large	ADJ
fumecheng-7390	3	29	-	-	PUNCT
fumecheng-7390	3	30	amplitude	amplitude	NOUN
fumecheng-7390	3	31	normal	normal	ADJ
fumecheng-7390	3	32	oscillations	oscillation	NOUN
fumecheng-7390	3	33	mikhail	mikhail	PROPN
fumecheng-7390	3	34	popov1,2	popov1,2	PROPN
fumecheng-7390	3	35	1technische	1technische	NUM
fumecheng-7390	3	36	universität	universität	PROPN
fumecheng-7390	3	37	berlin	berlin	PROPN
fumecheng-7390	3	38	,	,	PUNCT
fumecheng-7390	3	39	germany	germany	PROPN
fumecheng-7390	3	40	2national	2national	NUM
fumecheng-7390	3	41	research	research	NOUN
fumecheng-7390	3	42	tomsk	tomsk	PROPN
fumecheng-7390	3	43	state	state	PROPN
fumecheng-7390	3	44	university	university	PROPN
fumecheng-7390	3	45	,	,	PUNCT
fumecheng-7390	3	46	russia	russia	PROPN
fumecheng-7390	3	47	abstract	abstract	NOUN
fumecheng-7390	3	48	.	.	PUNCT
fumecheng-7390	4	1	building	build	VERB
fumecheng-7390	4	2	on	on	ADP
fumecheng-7390	4	3	a	a	DET
fumecheng-7390	4	4	recently	recently	ADV
fumecheng-7390	4	5	proposed	propose	VERB
fumecheng-7390	4	6	contact	contact	NOUN
fumecheng-7390	4	7	-	-	PUNCT
fumecheng-7390	4	8	mechanical	mechanical	ADJ
fumecheng-7390	4	9	theory	theory	NOUN
fumecheng-7390	4	10	of	of	ADP
fumecheng-7390	4	11	friction	friction	NOUN
fumecheng-7390	4	12	control	control	NOUN
fumecheng-7390	4	13	by	by	ADP
fumecheng-7390	4	14	external	external	ADJ
fumecheng-7390	4	15	vibration	vibration	NOUN
fumecheng-7390	4	16	,	,	PUNCT
fumecheng-7390	4	17	the	the	DET
fumecheng-7390	4	18	case	case	NOUN
fumecheng-7390	4	19	of	of	ADP
fumecheng-7390	4	20	large	large	ADJ
fumecheng-7390	4	21	-	-	PUNCT
fumecheng-7390	4	22	amplitude	amplitude	NOUN
fumecheng-7390	4	23	normal	normal	ADJ
fumecheng-7390	4	24	oscillation	oscillation	NOUN
fumecheng-7390	4	25	is	be	AUX
fumecheng-7390	4	26	revisited	revisit	VERB
fumecheng-7390	4	27	.	.	PUNCT
fumecheng-7390	5	1	it	it	PRON
fumecheng-7390	5	2	is	be	AUX
fumecheng-7390	5	3	shown	show	VERB
fumecheng-7390	5	4	that	that	SCONJ
fumecheng-7390	5	5	the	the	DET
fumecheng-7390	5	6	coefficient	coefficient	NOUN
fumecheng-7390	5	7	of	of	ADP
fumecheng-7390	5	8	friction	friction	NOUN
fumecheng-7390	5	9	can	can	AUX
fumecheng-7390	5	10	be	be	AUX
fumecheng-7390	5	11	expressed	express	VERB
fumecheng-7390	5	12	in	in	ADP
fumecheng-7390	5	13	particularly	particularly	ADV
fumecheng-7390	5	14	simple	simple	ADJ
fumecheng-7390	5	15	form	form	NOUN
fumecheng-7390	5	16	if	if	SCONJ
fumecheng-7390	5	17	the	the	DET
fumecheng-7390	5	18	waveform	waveform	NOUN
fumecheng-7390	5	19	of	of	ADP
fumecheng-7390	5	20	the	the	DET
fumecheng-7390	5	21	displacement	displacement	ADJ
fumecheng-7390	5	22	oscillation	oscillation	NOUN
fumecheng-7390	5	23	is	be	AUX
fumecheng-7390	5	24	triangular	triangular	NOUN
fumecheng-7390	5	25	or	or	CCONJ
fumecheng-7390	5	26	rectangular	rectangular	ADJ
fumecheng-7390	5	27	,	,	PUNCT
fumecheng-7390	5	28	and	and	CCONJ
fumecheng-7390	5	29	the	the	DET
fumecheng-7390	5	30	contact	contact	NOUN
fumecheng-7390	5	31	stiffness	stiffness	NOUN
fumecheng-7390	5	32	is	be	AUX
fumecheng-7390	5	33	constant	constant	ADJ
fumecheng-7390	5	34	.	.	PUNCT
fumecheng-7390	6	1	the	the	DET
fumecheng-7390	6	2	latter	latter	ADJ
fumecheng-7390	6	3	requirement	requirement	NOUN
fumecheng-7390	6	4	limits	limit	VERB
fumecheng-7390	6	5	the	the	DET
fumecheng-7390	6	6	scope	scope	NOUN
fumecheng-7390	6	7	of	of	ADP
fumecheng-7390	6	8	the	the	DET
fumecheng-7390	6	9	exact	exact	ADJ
fumecheng-7390	6	10	solutions	solution	NOUN
fumecheng-7390	6	11	to	to	ADP
fumecheng-7390	6	12	contacts	contact	NOUN
fumecheng-7390	6	13	between	between	ADP
fumecheng-7390	6	14	a	a	DET
fumecheng-7390	6	15	plane	plane	NOUN
fumecheng-7390	6	16	and	and	CCONJ
fumecheng-7390	6	17	a	a	DET
fumecheng-7390	6	18	flat	flat	ADV
fumecheng-7390	6	19	-	-	PUNCT
fumecheng-7390	6	20	ended	end	VERB
fumecheng-7390	6	21	cylinder	cylinder	NOUN
fumecheng-7390	6	22	or	or	CCONJ
fumecheng-7390	6	23	a	a	DET
fumecheng-7390	6	24	curved	curved	ADJ
fumecheng-7390	6	25	shape	shape	NOUN
fumecheng-7390	6	26	with	with	ADP
fumecheng-7390	6	27	a	a	DET
fumecheng-7390	6	28	wear	wear	NOUN
fumecheng-7390	6	29	flat	flat	ADJ
fumecheng-7390	6	30	,	,	PUNCT
fumecheng-7390	6	31	but	but	CCONJ
fumecheng-7390	6	32	the	the	DET
fumecheng-7390	6	33	adopted	adopt	VERB
fumecheng-7390	6	34	methodology	methodology	NOUN
fumecheng-7390	6	35	also	also	ADV
fumecheng-7390	6	36	enables	enable	VERB
fumecheng-7390	6	37	efficient	efficient	ADJ
fumecheng-7390	6	38	numerical	numerical	ADJ
fumecheng-7390	6	39	solution	solution	NOUN
fumecheng-7390	6	40	in	in	ADP
fumecheng-7390	6	41	more	more	ADJ
fumecheng-7390	6	42	general	general	ADJ
fumecheng-7390	6	43	cases	case	NOUN
fumecheng-7390	6	44	.	.	PUNCT
fumecheng-7390	7	1	key	key	ADJ
fumecheng-7390	7	2	words	word	NOUN
fumecheng-7390	7	3	:	:	PUNCT
fumecheng-7390	7	4	contact	contact	NOUN
fumecheng-7390	7	5	mechanics	mechanic	NOUN
fumecheng-7390	7	6	,	,	PUNCT
fumecheng-7390	7	7	vibration	vibration	NOUN
fumecheng-7390	7	8	,	,	PUNCT
fumecheng-7390	7	9	control	control	NOUN
fumecheng-7390	7	10	of	of	ADP
fumecheng-7390	7	11	friction	friction	NOUN
fumecheng-7390	7	12	,	,	PUNCT
fumecheng-7390	7	13	large	large	ADJ
fumecheng-7390	7	14	amplitudes	amplitude	NOUN
fumecheng-7390	7	15	,	,	PUNCT
fumecheng-7390	7	16	sliding	slide	VERB
fumecheng-7390	7	17	friction	friction	NOUN
fumecheng-7390	7	18	1	1	NUM
fumecheng-7390	7	19	.	.	PUNCT
fumecheng-7390	7	20	introduction	introduction	NOUN
fumecheng-7390	7	21	the	the	DET
fumecheng-7390	7	22	ability	ability	NOUN
fumecheng-7390	7	23	of	of	ADP
fumecheng-7390	7	24	externally	externally	ADV
fumecheng-7390	7	25	applied	apply	VERB
fumecheng-7390	7	26	vibration	vibration	NOUN
fumecheng-7390	7	27	to	to	PART
fumecheng-7390	7	28	substantially	substantially	ADV
fumecheng-7390	7	29	reduce	reduce	VERB
fumecheng-7390	7	30	both	both	CCONJ
fumecheng-7390	7	31	static	static	ADJ
fumecheng-7390	7	32	and	and	CCONJ
fumecheng-7390	7	33	sliding	slide	VERB
fumecheng-7390	7	34	friction	friction	NOUN
fumecheng-7390	7	35	is	be	AUX
fumecheng-7390	7	36	well	well	ADV
fumecheng-7390	7	37	known	know	VERB
fumecheng-7390	7	38	and	and	CCONJ
fumecheng-7390	7	39	enjoys	enjoy	VERB
fumecheng-7390	7	40	many	many	ADJ
fumecheng-7390	7	41	practical	practical	ADJ
fumecheng-7390	7	42	applications	application	NOUN
fumecheng-7390	7	43	.	.	PUNCT
fumecheng-7390	8	1	the	the	DET
fumecheng-7390	8	2	classical	classical	ADJ
fumecheng-7390	8	3	examples	example	NOUN
fumecheng-7390	8	4	of	of	ADP
fumecheng-7390	8	5	wire	wire	NOUN
fumecheng-7390	8	6	drawing	draw	VERB
fumecheng-7390	8	7	[	[	X
fumecheng-7390	8	8	1,2	1,2	NUM
fumecheng-7390	8	9	]	]	PUNCT
fumecheng-7390	8	10	and	and	CCONJ
fumecheng-7390	8	11	metal	metal	NOUN
fumecheng-7390	8	12	forming	form	VERB
fumecheng-7390	8	13	[	[	PUNCT
fumecheng-7390	8	14	3,4	3,4	NUM
fumecheng-7390	8	15	]	]	PUNCT
fumecheng-7390	8	16	deserve	deserve	VERB
fumecheng-7390	8	17	mention	mention	NOUN
fumecheng-7390	8	18	,	,	PUNCT
fumecheng-7390	8	19	but	but	CCONJ
fumecheng-7390	8	20	a	a	DET
fumecheng-7390	8	21	thorough	thorough	ADJ
fumecheng-7390	8	22	review	review	NOUN
fumecheng-7390	8	23	is	be	AUX
fumecheng-7390	8	24	outside	outside	ADP
fumecheng-7390	8	25	the	the	DET
fumecheng-7390	8	26	scope	scope	NOUN
fumecheng-7390	8	27	of	of	ADP
fumecheng-7390	8	28	this	this	DET
fumecheng-7390	8	29	paper	paper	NOUN
fumecheng-7390	8	30	.	.	PUNCT
fumecheng-7390	9	1	while	while	SCONJ
fumecheng-7390	9	2	the	the	DET
fumecheng-7390	9	3	effect	effect	NOUN
fumecheng-7390	9	4	has	have	AUX
fumecheng-7390	9	5	attracted	attract	VERB
fumecheng-7390	9	6	a	a	DET
fumecheng-7390	9	7	fair	fair	ADJ
fumecheng-7390	9	8	amount	amount	NOUN
fumecheng-7390	9	9	of	of	ADP
fumecheng-7390	9	10	research	research	NOUN
fumecheng-7390	9	11	,	,	PUNCT
fumecheng-7390	9	12	most	most	ADJ
fumecheng-7390	9	13	of	of	ADP
fumecheng-7390	9	14	the	the	DET
fumecheng-7390	9	15	works	work	NOUN
fumecheng-7390	9	16	are	be	AUX
fumecheng-7390	9	17	of	of	ADP
fumecheng-7390	9	18	an	an	DET
fumecheng-7390	9	19	experimental	experimental	ADJ
fumecheng-7390	9	20	,	,	PUNCT
fumecheng-7390	9	21	application	application	NOUN
fumecheng-7390	9	22	-	-	PUNCT
fumecheng-7390	9	23	oriented	orient	VERB
fumecheng-7390	9	24	nature	nature	NOUN
fumecheng-7390	9	25	[	[	X
fumecheng-7390	9	26	5	5	NUM
fumecheng-7390	9	27	-	-	SYM
fumecheng-7390	9	28	7	7	NUM
fumecheng-7390	9	29	]	]	PUNCT
fumecheng-7390	9	30	,	,	PUNCT
fumecheng-7390	9	31	and	and	CCONJ
fumecheng-7390	9	32	proposed	propose	VERB
fumecheng-7390	9	33	models	model	NOUN
fumecheng-7390	9	34	are	be	AUX
fumecheng-7390	9	35	at	at	ADP
fumecheng-7390	9	36	best	good	ADJ
fumecheng-7390	9	37	semi	semi	ADJ
fumecheng-7390	9	38	-	-	ADJ
fumecheng-7390	9	39	empirical	empirical	ADJ
fumecheng-7390	9	40	[	[	X
fumecheng-7390	9	41	8	8	NUM
fumecheng-7390	9	42	]	]	PUNCT
fumecheng-7390	9	43	.	.	PUNCT
fumecheng-7390	10	1	for	for	ADP
fumecheng-7390	10	2	this	this	DET
fumecheng-7390	10	3	reason	reason	NOUN
fumecheng-7390	10	4	,	,	PUNCT
fumecheng-7390	10	5	no	no	DET
fumecheng-7390	10	6	consensus	consensus	NOUN
fumecheng-7390	10	7	has	have	AUX
fumecheng-7390	10	8	been	be	AUX
fumecheng-7390	10	9	established	establish	VERB
fumecheng-7390	10	10	concerning	concern	VERB
fumecheng-7390	10	11	the	the	DET
fumecheng-7390	10	12	theoretical	theoretical	ADJ
fumecheng-7390	10	13	underpinnings	underpinning	NOUN
fumecheng-7390	10	14	of	of	ADP
fumecheng-7390	10	15	the	the	DET
fumecheng-7390	10	16	phenomenon	phenomenon	NOUN
fumecheng-7390	10	17	.	.	PUNCT
fumecheng-7390	11	1	a	a	DET
fumecheng-7390	11	2	possible	possible	ADJ
fumecheng-7390	11	3	physical	physical	ADJ
fumecheng-7390	11	4	model	model	NOUN
fumecheng-7390	11	5	based	base	VERB
fumecheng-7390	11	6	on	on	ADP
fumecheng-7390	11	7	macroscopic	macroscopic	ADJ
fumecheng-7390	11	8	contact	contact	NOUN
fumecheng-7390	11	9	mechanics	mechanic	NOUN
fumecheng-7390	11	10	was	be	AUX
fumecheng-7390	11	11	recently	recently	ADV
fumecheng-7390	11	12	proposed	propose	VERB
fumecheng-7390	11	13	by	by	ADP
fumecheng-7390	11	14	the	the	DET
fumecheng-7390	11	15	author	author	NOUN
fumecheng-7390	11	16	and	and	CCONJ
fumecheng-7390	11	17	colleagues	colleague	NOUN
fumecheng-7390	11	18	[	[	X
fumecheng-7390	11	19	9	9	NUM
fumecheng-7390	11	20	]	]	PUNCT
fumecheng-7390	11	21	.	.	PUNCT
fumecheng-7390	12	1	the	the	DET
fumecheng-7390	12	2	mechanism	mechanism	NOUN
fumecheng-7390	12	3	of	of	ADP
fumecheng-7390	12	4	force	force	NOUN
fumecheng-7390	12	5	reduction	reduction	NOUN
fumecheng-7390	12	6	in	in	ADP
fumecheng-7390	12	7	this	this	DET
fumecheng-7390	12	8	model	model	NOUN
fumecheng-7390	12	9	is	be	AUX
fumecheng-7390	12	10	based	base	VERB
fumecheng-7390	12	11	on	on	ADP
fumecheng-7390	12	12	the	the	DET
fumecheng-7390	12	13	observation	observation	NOUN
fumecheng-7390	12	14	that	that	PRON
fumecheng-7390	12	15	stick	stick	NOUN
fumecheng-7390	12	16	-	-	PUNCT
fumecheng-7390	12	17	slip	slip	NOUN
fumecheng-7390	12	18	can	can	AUX
fumecheng-7390	12	19	arise	arise	VERB
fumecheng-7390	12	20	in	in	ADP
fumecheng-7390	12	21	an	an	DET
fumecheng-7390	12	22	oscillating	oscillate	VERB
fumecheng-7390	12	23	contact	contact	NOUN
fumecheng-7390	12	24	under	under	ADP
fumecheng-7390	12	25	suitable	suitable	ADJ
fumecheng-7390	12	26	conditions	condition	NOUN
fumecheng-7390	12	27	,	,	PUNCT
fumecheng-7390	12	28	if	if	SCONJ
fumecheng-7390	12	29	the	the	DET
fumecheng-7390	12	30	compliance	compliance	NOUN
fumecheng-7390	12	31	of	of	ADP
fumecheng-7390	12	32	the	the	DET
fumecheng-7390	12	33	contact	contact	NOUN
fumecheng-7390	12	34	is	be	AUX
fumecheng-7390	12	35	taken	take	VERB
fumecheng-7390	12	36	into	into	ADP
fumecheng-7390	12	37	account	account	NOUN
fumecheng-7390	12	38	.	.	PUNCT
fumecheng-7390	13	1	during	during	ADP
fumecheng-7390	13	2	the	the	DET
fumecheng-7390	13	3	stick	stick	NOUN
fumecheng-7390	13	4	phases	phase	NOUN
fumecheng-7390	13	5	the	the	DET
fumecheng-7390	13	6	lateral	lateral	ADJ
fumecheng-7390	13	7	force	force	NOUN
fumecheng-7390	13	8	is	be	AUX
fumecheng-7390	13	9	by	by	ADP
fumecheng-7390	13	10	definition	definition	NOUN
fumecheng-7390	13	11	subcritical	subcritical	NOUN
fumecheng-7390	13	12	(	(	PUNCT
fumecheng-7390	13	13	i.e.	i.e.	X
fumecheng-7390	13	14	less	less	ADJ
fumecheng-7390	13	15	than	than	ADP
fumecheng-7390	13	16	what	what	PRON
fumecheng-7390	13	17	is	be	AUX
fumecheng-7390	13	18	required	require	VERB
fumecheng-7390	13	19	to	to	PART
fumecheng-7390	13	20	sustain	sustain	VERB
fumecheng-7390	13	21	sliding	slide	VERB
fumecheng-7390	13	22	)	)	PUNCT
fumecheng-7390	13	23	,	,	PUNCT
fumecheng-7390	13	24	and	and	CCONJ
fumecheng-7390	13	25	therefore	therefore	ADV
fumecheng-7390	13	26	lowers	lower	VERB
fumecheng-7390	13	27	the	the	DET
fumecheng-7390	13	28	average	average	ADJ
fumecheng-7390	13	29	friction	friction	NOUN
fumecheng-7390	13	30	force	force	NOUN
fumecheng-7390	13	31	.	.	PUNCT
fumecheng-7390	14	1	multiple	multiple	ADJ
fumecheng-7390	14	2	extensions	extension	NOUN
fumecheng-7390	14	3	of	of	ADP
fumecheng-7390	14	4	this	this	DET
fumecheng-7390	14	5	model	model	NOUN
fumecheng-7390	14	6	have	have	AUX
fumecheng-7390	14	7	since	since	SCONJ
fumecheng-7390	14	8	received	receive	VERB
fumecheng-7390	14	9	december	december	PROPN
fumecheng-7390	14	10	26	26	NUM
fumecheng-7390	14	11	,	,	PUNCT
fumecheng-7390	14	12	2020	2020	NUM
fumecheng-7390	14	13	/	/	SYM
fumecheng-7390	14	14	accepted	accept	VERB
fumecheng-7390	14	15	february	february	PROPN
fumecheng-7390	14	16	08	08	NUM
fumecheng-7390	14	17	,	,	PUNCT
fumecheng-7390	14	18	2021	2021	NUM
fumecheng-7390	14	19	corresponding	correspond	VERB
fumecheng-7390	14	20	author	author	NOUN
fumecheng-7390	14	21	:	:	PUNCT
fumecheng-7390	14	22	mikhail	mikhail	PROPN
fumecheng-7390	14	23	popov	popov	PROPN
fumecheng-7390	14	24	technische	technische	PROPN
fumecheng-7390	14	25	universität	universität	PROPN
fumecheng-7390	14	26	berlin	berlin	PROPN
fumecheng-7390	14	27	,	,	PUNCT
fumecheng-7390	14	28	institut	institut	PROPN
fumecheng-7390	14	29	für	für	PROPN
fumecheng-7390	14	30	mechanik	mechanik	PROPN
fumecheng-7390	14	31	,	,	PUNCT
fumecheng-7390	14	32	fachgebiet	fachgebiet	PROPN
fumecheng-7390	14	33	kontinuumsmechanik	kontinuumsmechanik	X
fumecheng-7390	14	34	und	und	PROPN
fumecheng-7390	14	35	materialtheorie	materialtheorie	NOUN
fumecheng-7390	14	36	,	,	PUNCT
fumecheng-7390	14	37	sekr	sekr	PROPN
fumecheng-7390	14	38	.	.	PUNCT
fumecheng-7390	14	39	ms2	ms2	PROPN
fumecheng-7390	14	40	,	,	PUNCT
fumecheng-7390	14	41	einsteinufer	einsteinufer	VERB
fumecheng-7390	14	42	5	5	NUM
fumecheng-7390	14	43	,	,	PUNCT
fumecheng-7390	14	44	d-10587	d-10587	PROPN
fumecheng-7390	14	45	berlin	berlin	PROPN
fumecheng-7390	14	46	e	e	PROPN
fumecheng-7390	14	47	-	-	NOUN
fumecheng-7390	14	48	mail	mail	NOUN
fumecheng-7390	14	49	:	:	PUNCT
fumecheng-7390	14	50	mpopov@fastmail.fm	mpopov@fastmail.fm	PROPN
fumecheng-7390	14	51	106	106	NUM
fumecheng-7390	14	52	m.	m.	NOUN
fumecheng-7390	14	53	popov	popov	PROPN
fumecheng-7390	14	54	been	be	AUX
fumecheng-7390	14	55	published	publish	VERB
fumecheng-7390	14	56	and	and	CCONJ
fumecheng-7390	14	57	were	be	AUX
fumecheng-7390	14	58	reviewed	review	VERB
fumecheng-7390	14	59	in	in	ADP
fumecheng-7390	14	60	a	a	DET
fumecheng-7390	14	61	recent	recent	ADJ
fumecheng-7390	14	62	paper	paper	NOUN
fumecheng-7390	15	1	[	[	X
fumecheng-7390	15	2	10	10	NUM
fumecheng-7390	15	3	]	]	PUNCT
fumecheng-7390	15	4	.	.	PUNCT
fumecheng-7390	16	1	here	here	ADV
fumecheng-7390	16	2	,	,	PUNCT
fumecheng-7390	16	3	the	the	DET
fumecheng-7390	16	4	same	same	ADJ
fumecheng-7390	16	5	approach	approach	NOUN
fumecheng-7390	16	6	is	be	AUX
fumecheng-7390	16	7	used	use	VERB
fumecheng-7390	16	8	to	to	PART
fumecheng-7390	16	9	analyze	analyze	VERB
fumecheng-7390	16	10	the	the	DET
fumecheng-7390	16	11	case	case	NOUN
fumecheng-7390	16	12	of	of	ADP
fumecheng-7390	16	13	large	large	ADJ
fumecheng-7390	16	14	-	-	PUNCT
fumecheng-7390	16	15	amplitude	amplitude	NOUN
fumecheng-7390	16	16	normal	normal	ADJ
fumecheng-7390	16	17	oscillation	oscillation	NOUN
fumecheng-7390	16	18	,	,	PUNCT
fumecheng-7390	16	19	when	when	SCONJ
fumecheng-7390	16	20	the	the	DET
fumecheng-7390	16	21	amplitude	amplitude	NOUN
fumecheng-7390	16	22	is	be	AUX
fumecheng-7390	16	23	larger	large	ADJ
fumecheng-7390	16	24	than	than	ADP
fumecheng-7390	16	25	the	the	DET
fumecheng-7390	16	26	mean	mean	ADJ
fumecheng-7390	16	27	indentation	indentation	NOUN
fumecheng-7390	16	28	and	and	CCONJ
fumecheng-7390	16	29	the	the	DET
fumecheng-7390	16	30	body	body	NOUN
fumecheng-7390	16	31	starts	start	VERB
fumecheng-7390	16	32	to	to	PART
fumecheng-7390	16	33	“	"	PUNCT
fumecheng-7390	16	34	jump	jump	VERB
fumecheng-7390	16	35	”	"	PUNCT
fumecheng-7390	16	36	over	over	ADP
fumecheng-7390	16	37	the	the	DET
fumecheng-7390	16	38	plane	plane	NOUN
fumecheng-7390	16	39	.	.	PUNCT
fumecheng-7390	17	1	2	2	X
fumecheng-7390	17	2	.	.	X
fumecheng-7390	17	3	model	model	NOUN
fumecheng-7390	17	4	for	for	ADP
fumecheng-7390	17	5	a	a	DET
fumecheng-7390	17	6	complete	complete	ADJ
fumecheng-7390	17	7	description	description	NOUN
fumecheng-7390	17	8	of	of	ADP
fumecheng-7390	17	9	the	the	DET
fumecheng-7390	17	10	model	model	NOUN
fumecheng-7390	17	11	the	the	DET
fumecheng-7390	17	12	reader	reader	NOUN
fumecheng-7390	17	13	is	be	AUX
fumecheng-7390	17	14	referred	refer	VERB
fumecheng-7390	17	15	to	to	ADP
fumecheng-7390	17	16	previous	previous	ADJ
fumecheng-7390	17	17	publications	publication	NOUN
fumecheng-7390	17	18	[	[	X
fumecheng-7390	17	19	9,10	9,10	NUM
fumecheng-7390	17	20	]	]	PUNCT
fumecheng-7390	17	21	,	,	PUNCT
fumecheng-7390	17	22	but	but	CCONJ
fumecheng-7390	17	23	a	a	DET
fumecheng-7390	17	24	short	short	ADJ
fumecheng-7390	17	25	overview	overview	NOUN
fumecheng-7390	17	26	is	be	AUX
fumecheng-7390	17	27	provided	provide	VERB
fumecheng-7390	17	28	here	here	ADV
fumecheng-7390	17	29	for	for	ADP
fumecheng-7390	17	30	convenience	convenience	NOUN
fumecheng-7390	17	31	.	.	PUNCT
fumecheng-7390	18	1	first	first	ADV
fumecheng-7390	18	2	and	and	CCONJ
fumecheng-7390	18	3	foremost	foremost	ADV
fumecheng-7390	18	4	,	,	PUNCT
fumecheng-7390	18	5	it	it	PRON
fumecheng-7390	18	6	is	be	AUX
fumecheng-7390	18	7	assumed	assume	VERB
fumecheng-7390	18	8	that	that	SCONJ
fumecheng-7390	18	9	the	the	DET
fumecheng-7390	18	10	contact	contact	NOUN
fumecheng-7390	18	11	is	be	AUX
fumecheng-7390	18	12	quasistatic	quasistatic	ADJ
fumecheng-7390	18	13	and	and	CCONJ
fumecheng-7390	18	14	that	that	SCONJ
fumecheng-7390	18	15	the	the	DET
fumecheng-7390	18	16	contact	contact	NOUN
fumecheng-7390	18	17	stiffness	stiffness	NOUN
fumecheng-7390	18	18	is	be	AUX
fumecheng-7390	18	19	independent	independent	ADJ
fumecheng-7390	18	20	of	of	ADP
fumecheng-7390	18	21	indentation	indentation	NOUN
fumecheng-7390	18	22	depth	depth	NOUN
fumecheng-7390	18	23	.	.	PUNCT
fumecheng-7390	19	1	both	both	DET
fumecheng-7390	19	2	assumptions	assumption	NOUN
fumecheng-7390	19	3	are	be	AUX
fumecheng-7390	19	4	nonessential	nonessential	ADJ
fumecheng-7390	19	5	for	for	ADP
fumecheng-7390	19	6	the	the	DET
fumecheng-7390	19	7	model	model	NOUN
fumecheng-7390	19	8	as	as	ADP
fumecheng-7390	19	9	such	such	ADJ
fumecheng-7390	19	10	,	,	PUNCT
fumecheng-7390	19	11	but	but	CCONJ
fumecheng-7390	19	12	are	be	AUX
fumecheng-7390	19	13	required	require	VERB
fumecheng-7390	19	14	for	for	ADP
fumecheng-7390	19	15	analytical	analytical	ADJ
fumecheng-7390	19	16	calculations	calculation	NOUN
fumecheng-7390	19	17	.	.	PUNCT
fumecheng-7390	20	1	together	together	ADV
fumecheng-7390	20	2	,	,	PUNCT
fumecheng-7390	20	3	they	they	PRON
fumecheng-7390	20	4	allow	allow	VERB
fumecheng-7390	20	5	us	we	PRON
fumecheng-7390	20	6	to	to	PART
fumecheng-7390	20	7	treat	treat	VERB
fumecheng-7390	20	8	the	the	DET
fumecheng-7390	20	9	contact	contact	NOUN
fumecheng-7390	20	10	as	as	ADP
fumecheng-7390	20	11	a	a	DET
fumecheng-7390	20	12	single	single	ADJ
fumecheng-7390	20	13	linearly	linearly	ADV
fumecheng-7390	20	14	elastic	elastic	ADJ
fumecheng-7390	20	15	massless	massless	NOUN
fumecheng-7390	20	16	spring	spring	NOUN
fumecheng-7390	20	17	(	(	PUNCT
fumecheng-7390	20	18	fig	fig	NOUN
fumecheng-7390	20	19	.	.	NOUN
fumecheng-7390	20	20	1	1	NUM
fumecheng-7390	20	21	)	)	PUNCT
fumecheng-7390	20	22	with	with	ADP
fumecheng-7390	20	23	normal	normal	ADJ
fumecheng-7390	20	24	and	and	CCONJ
fumecheng-7390	20	25	lateral	lateral	ADJ
fumecheng-7390	20	26	stiffness	stiffness	NOUN
fumecheng-7390	20	27	kz	kz	PROPN
fumecheng-7390	20	28	and	and	CCONJ
fumecheng-7390	20	29	kx	kx	PROPN
fumecheng-7390	20	30	,	,	PUNCT
fumecheng-7390	20	31	respectively	respectively	ADV
fumecheng-7390	20	32	.	.	PUNCT
fumecheng-7390	21	1	if	if	SCONJ
fumecheng-7390	21	2	the	the	DET
fumecheng-7390	21	3	modeled	model	VERB
fumecheng-7390	21	4	contact	contact	NOUN
fumecheng-7390	21	5	is	be	AUX
fumecheng-7390	21	6	a	a	DET
fumecheng-7390	21	7	flat	flat	ADV
fumecheng-7390	21	8	-	-	PUNCT
fumecheng-7390	21	9	ended	end	VERB
fumecheng-7390	21	10	cylinder	cylinder	NOUN
fumecheng-7390	21	11	with	with	ADP
fumecheng-7390	21	12	radius	radius	PROPN
fumecheng-7390	21	13	a	a	PRON
fumecheng-7390	21	14	,	,	PUNCT
fumecheng-7390	21	15	the	the	DET
fumecheng-7390	21	16	stiffness	stiffness	ADJ
fumecheng-7390	21	17	values	value	NOUN
fumecheng-7390	21	18	are	be	AUX
fumecheng-7390	21	19	given	give	VERB
fumecheng-7390	21	20	by	by	ADP
fumecheng-7390	21	21	:	:	PUNCT
fumecheng-7390	21	22	2	2	NUM
fumecheng-7390	21	23	2	2	NUM
fumecheng-7390	21	24	*	*	SYM
fumecheng-7390	21	25	1	1	NUM
fumecheng-7390	21	26	2	2	NUM
fumecheng-7390	21	27	*	*	SYM
fumecheng-7390	21	28	1	1	NUM
fumecheng-7390	21	29	2	2	NUM
fumecheng-7390	21	30	*	*	SYM
fumecheng-7390	21	31	1	1	NUM
fumecheng-7390	21	32	2	2	NUM
fumecheng-7390	21	33	*	*	SYM
fumecheng-7390	21	34	1	1	NUM
fumecheng-7390	21	35	2	2	NUM
fumecheng-7390	21	36	1	1	NUM
fumecheng-7390	21	37	11	11	NUM
fumecheng-7390	21	38	2	2	NUM
fumecheng-7390	21	39	where	where	SCONJ
fumecheng-7390	21	40	2	2	NUM
fumecheng-7390	21	41	21	21	NUM
fumecheng-7390	21	42	2	2	NUM
fumecheng-7390	21	43	where	where	SCONJ
fumecheng-7390	21	44	4	4	NUM
fumecheng-7390	21	45	4	4	NUM
fumecheng-7390	21	46	z	z	NOUN
fumecheng-7390	21	47	x	x	SYM
fumecheng-7390	22	1	k	k	NOUN
fumecheng-7390	22	2	e	e	X
fumecheng-7390	22	3	a	a	PROPN
fumecheng-7390	22	4	e	e	X
fumecheng-7390	22	5	ee	ee	ADP
fumecheng-7390	22	6	k	k	PROPN
fumecheng-7390	22	7	g	g	PROPN
fumecheng-7390	22	8	a	a	DET
fumecheng-7390	22	9	g	g	NOUN
fumecheng-7390	22	10	gg	gg	PROPN
fumecheng-7390	22	11			PROPN
fumecheng-7390	22	12			PROPN
fumecheng-7390	22	13			PROPN
fumecheng-7390	22	14			NOUN
fumecheng-7390	23	1	−	−	NOUN
fumecheng-7390	23	2	−	−	NOUN
fumecheng-7390	24	1	=	=	PUNCT
fumecheng-7390	24	2	=	=	PUNCT
fumecheng-7390	25	1	+	+	NUM
fumecheng-7390	25	2	−	−	NOUN
fumecheng-7390	25	3	−	−	PROPN
fumecheng-7390	25	4	=	=	SYM
fumecheng-7390	26	1	=	=	PUNCT
fumecheng-7390	26	2	+	+	CCONJ
fumecheng-7390	26	3	(	(	PUNCT
fumecheng-7390	26	4	1	1	NUM
fumecheng-7390	26	5	)	)	PUNCT
fumecheng-7390	26	6	with	with	ADP
fumecheng-7390	26	7	ei	ei	NOUN
fumecheng-7390	26	8	,	,	PUNCT
fumecheng-7390	26	9	gi	gi	NOUN
fumecheng-7390	26	10	being	be	AUX
fumecheng-7390	26	11	the	the	DET
fumecheng-7390	26	12	elastic	elastic	ADJ
fumecheng-7390	26	13	and	and	CCONJ
fumecheng-7390	26	14	shear	shear	NOUN
fumecheng-7390	26	15	moduli	modulus	NOUN
fumecheng-7390	26	16	of	of	ADP
fumecheng-7390	26	17	the	the	DET
fumecheng-7390	26	18	contacting	contact	VERB
fumecheng-7390	26	19	bodies	body	NOUN
fumecheng-7390	26	20	and	and	CCONJ
fumecheng-7390	26	21	νi	νi	DET
fumecheng-7390	26	22	their	their	PRON
fumecheng-7390	26	23	poisson	poisson	NOUN
fumecheng-7390	26	24	numbers	number	NOUN
fumecheng-7390	26	25	.	.	PUNCT
fumecheng-7390	27	1	fig	fig	NOUN
fumecheng-7390	27	2	.	.	PUNCT
fumecheng-7390	28	1	1	1	NUM
fumecheng-7390	28	2	a	a	DET
fumecheng-7390	28	3	single	single	ADJ
fumecheng-7390	28	4	massless	massless	NOUN
fumecheng-7390	28	5	spring	spring	NOUN
fumecheng-7390	28	6	,	,	PUNCT
fumecheng-7390	28	7	which	which	PRON
fumecheng-7390	28	8	serves	serve	VERB
fumecheng-7390	28	9	as	as	ADP
fumecheng-7390	28	10	a	a	DET
fumecheng-7390	28	11	minimal	minimal	ADJ
fumecheng-7390	28	12	model	model	NOUN
fumecheng-7390	28	13	of	of	ADP
fumecheng-7390	28	14	a	a	DET
fumecheng-7390	28	15	sliding	slide	VERB
fumecheng-7390	28	16	frictional	frictional	ADJ
fumecheng-7390	28	17	contact	contact	NOUN
fumecheng-7390	28	18	.	.	PUNCT
fumecheng-7390	29	1	the	the	DET
fumecheng-7390	29	2	sliding	slide	VERB
fumecheng-7390	29	3	velocity	velocity	NOUN
fumecheng-7390	29	4	is	be	AUX
fumecheng-7390	29	5	constant	constant	ADJ
fumecheng-7390	29	6	,	,	PUNCT
fumecheng-7390	29	7	while	while	SCONJ
fumecheng-7390	29	8	the	the	DET
fumecheng-7390	29	9	vertical	vertical	ADJ
fumecheng-7390	29	10	coordinate	coordinate	NOUN
fumecheng-7390	29	11	oscillates	oscillate	NOUN
fumecheng-7390	29	12	.	.	PUNCT
fumecheng-7390	30	1	amontons	amonton	NOUN
fumecheng-7390	30	2	friction	friction	NOUN
fumecheng-7390	30	3	with	with	ADP
fumecheng-7390	30	4	the	the	DET
fumecheng-7390	30	5	constant	constant	ADJ
fumecheng-7390	30	6	coefficient	coefficient	NOUN
fumecheng-7390	30	7	of	of	ADP
fumecheng-7390	30	8	friction	friction	NOUN
fumecheng-7390	30	9	µ0	µ0	NOUN
fumecheng-7390	30	10	is	be	AUX
fumecheng-7390	30	11	assumed	assume	VERB
fumecheng-7390	30	12	in	in	ADP
fumecheng-7390	30	13	the	the	DET
fumecheng-7390	30	14	contact	contact	NOUN
fumecheng-7390	30	15	.	.	PUNCT
fumecheng-7390	31	1	the	the	DET
fumecheng-7390	31	2	spring	spring	NOUN
fumecheng-7390	31	3	is	be	AUX
fumecheng-7390	31	4	pulled	pull	VERB
fumecheng-7390	31	5	with	with	ADP
fumecheng-7390	31	6	a	a	DET
fumecheng-7390	31	7	constant	constant	ADJ
fumecheng-7390	31	8	velocity	velocity	NOUN
fumecheng-7390	31	9	v0	v0	NOUN
fumecheng-7390	31	10	while	while	SCONJ
fumecheng-7390	31	11	also	also	ADV
fumecheng-7390	31	12	being	be	AUX
fumecheng-7390	31	13	subjected	subject	VERB
fumecheng-7390	31	14	to	to	ADP
fumecheng-7390	31	15	a	a	DET
fumecheng-7390	31	16	normal	normal	ADJ
fumecheng-7390	31	17	oscillation	oscillation	NOUN
fumecheng-7390	31	18	that	that	PRON
fumecheng-7390	31	19	is	be	AUX
fumecheng-7390	31	20	parametrized	parametrize	VERB
fumecheng-7390	31	21	as	as	ADP
fumecheng-7390	31	22	(	(	PUNCT
fumecheng-7390	31	23	)	)	PUNCT
fumecheng-7390	31	24	(	(	PUNCT
fumecheng-7390	31	25	)	)	PUNCT
fumecheng-7390	31	26	z	z	NOUN
fumecheng-7390	31	27	z	z	NOUN
fumecheng-7390	31	28	zu	zu	SYM
fumecheng-7390	31	29	t	t	X
fumecheng-7390	31	30	u	u	NOUN
fumecheng-7390	31	31	a	a	DET
fumecheng-7390	31	32	w	w	NOUN
fumecheng-7390	31	33	ft=	ft=	NOUN
fumecheng-7390	31	34	+	+	CCONJ
fumecheng-7390	31	35	(	(	PUNCT
fumecheng-7390	31	36	2	2	NUM
fumecheng-7390	31	37	)	)	PUNCT
fumecheng-7390	31	38	friction	friction	NOUN
fumecheng-7390	31	39	under	under	ADP
fumecheng-7390	31	40	large	large	ADJ
fumecheng-7390	31	41	-	-	PUNCT
fumecheng-7390	31	42	amplitude	amplitude	NOUN
fumecheng-7390	31	43	normal	normal	ADJ
fumecheng-7390	31	44	oscillations	oscillation	NOUN
fumecheng-7390	31	45	107	107	NUM
fumecheng-7390	31	46	where	where	SCONJ
fumecheng-7390	31	47	zu	zu	PRON
fumecheng-7390	31	48	is	be	AUX
fumecheng-7390	31	49	the	the	DET
fumecheng-7390	31	50	mean	mean	ADJ
fumecheng-7390	31	51	indentation	indentation	NOUN
fumecheng-7390	31	52	,	,	PUNCT
fumecheng-7390	31	53	az	az	PROPN
fumecheng-7390	31	54	the	the	DET
fumecheng-7390	31	55	amplitude	amplitude	NOUN
fumecheng-7390	31	56	,	,	PUNCT
fumecheng-7390	31	57	f	f	PROPN
fumecheng-7390	31	58	the	the	DET
fumecheng-7390	31	59	frequency	frequency	NOUN
fumecheng-7390	31	60	and	and	CCONJ
fumecheng-7390	31	61	w	w	ADP
fumecheng-7390	31	62	a	a	DET
fumecheng-7390	31	63	zero	zero	NUM
fumecheng-7390	31	64	-	-	PUNCT
fumecheng-7390	31	65	mean	mean	ADJ
fumecheng-7390	31	66	,	,	PUNCT
fumecheng-7390	31	67	unit	unit	NOUN
fumecheng-7390	31	68	-	-	PUNCT
fumecheng-7390	31	69	amplitude	amplitude	NOUN
fumecheng-7390	31	70	waveform	waveform	NOUN
fumecheng-7390	31	71	.	.	PUNCT
fumecheng-7390	32	1	the	the	DET
fumecheng-7390	32	2	lateral	lateral	ADJ
fumecheng-7390	32	3	displacement	displacement	NOUN
fumecheng-7390	32	4	ux	ux	PROPN
fumecheng-7390	32	5	is	be	AUX
fumecheng-7390	32	6	the	the	DET
fumecheng-7390	32	7	primary	primary	ADJ
fumecheng-7390	32	8	unknown	unknown	NOUN
fumecheng-7390	32	9	of	of	ADP
fumecheng-7390	32	10	the	the	DET
fumecheng-7390	32	11	system	system	NOUN
fumecheng-7390	32	12	.	.	PUNCT
fumecheng-7390	33	1	when	when	SCONJ
fumecheng-7390	33	2	the	the	DET
fumecheng-7390	33	3	contact	contact	NOUN
fumecheng-7390	33	4	point	point	NOUN
fumecheng-7390	33	5	is	be	AUX
fumecheng-7390	33	6	in	in	ADP
fumecheng-7390	33	7	a	a	DET
fumecheng-7390	33	8	sliding	slide	VERB
fumecheng-7390	33	9	state	state	NOUN
fumecheng-7390	33	10	,	,	PUNCT
fumecheng-7390	33	11	its	its	PRON
fumecheng-7390	33	12	velocity	velocity	NOUN
fumecheng-7390	33	13	can	can	AUX
fumecheng-7390	33	14	be	be	AUX
fumecheng-7390	33	15	shown	show	VERB
fumecheng-7390	33	16	to	to	PART
fumecheng-7390	33	17	be	be	AUX
fumecheng-7390	33	18	0	0	NUM
fumecheng-7390	33	19	(	(	PUNCT
fumecheng-7390	33	20	)	)	PUNCT
fumecheng-7390	33	21	(	(	PUNCT
fumecheng-7390	33	22	)	)	PUNCT
fumecheng-7390	33	23	z	z	X
fumecheng-7390	33	24	x	x	PUNCT
fumecheng-7390	33	25	z	z	PUNCT
fumecheng-7390	33	26	x	x	SYM
fumecheng-7390	33	27	k	k	PUNCT
fumecheng-7390	33	28	u	u	X
fumecheng-7390	33	29	t	t	PROPN
fumecheng-7390	33	30	a	a	DET
fumecheng-7390	33	31	fw	fw	PROPN
fumecheng-7390	33	32	ft	ft	PROPN
fumecheng-7390	33	33	k	k	PROPN
fumecheng-7390	33	34			NOUN
fumecheng-7390	33	35	=	=	PROPN
fumecheng-7390	33	36	(	(	PUNCT
fumecheng-7390	33	37	3	3	X
fumecheng-7390	33	38	)	)	PUNCT
fumecheng-7390	33	39	the	the	DET
fumecheng-7390	33	40	contact	contact	NOUN
fumecheng-7390	33	41	transitions	transition	NOUN
fumecheng-7390	33	42	from	from	ADP
fumecheng-7390	33	43	slip	slip	NOUN
fumecheng-7390	33	44	to	to	PART
fumecheng-7390	33	45	stick	stick	VERB
fumecheng-7390	33	46	when	when	SCONJ
fumecheng-7390	33	47	this	this	DET
fumecheng-7390	33	48	velocity	velocity	NOUN
fumecheng-7390	33	49	vanishes	vanish	VERB
fumecheng-7390	33	50	.	.	PUNCT
fumecheng-7390	34	1	the	the	DET
fumecheng-7390	34	2	point	point	NOUN
fumecheng-7390	34	3	of	of	ADP
fumecheng-7390	34	4	stick	stick	NOUN
fumecheng-7390	34	5	onset	onset	NOUN
fumecheng-7390	34	6	φ1	φ1	PROPN
fumecheng-7390	34	7	=	=	SYM
fumecheng-7390	34	8	ft1	ft1	PROPN
fumecheng-7390	34	9	can	can	AUX
fumecheng-7390	34	10	therefore	therefore	ADV
fumecheng-7390	34	11	be	be	AUX
fumecheng-7390	34	12	written	write	VERB
fumecheng-7390	34	13	as	as	ADP
fumecheng-7390	34	14	:	:	PUNCT
fumecheng-7390	34	15	1	1	NUM
fumecheng-7390	34	16	1	1	NUM
fumecheng-7390	34	17	(	(	PUNCT
fumecheng-7390	34	18	)	)	PUNCT
fumecheng-7390	34	19	(	(	PUNCT
fumecheng-7390	34	20	)	)	PUNCT
fumecheng-7390	34	21	w	w	PROPN
fumecheng-7390	35	1	−=	−=	NOUN
fumecheng-7390	35	2	(	(	PUNCT
fumecheng-7390	35	3	4	4	NUM
fumecheng-7390	35	4	)	)	PUNCT
fumecheng-7390	35	5	where	where	SCONJ
fumecheng-7390	35	6	β	β	PROPN
fumecheng-7390	35	7	is	be	AUX
fumecheng-7390	35	8	one	one	NUM
fumecheng-7390	35	9	of	of	ADP
fumecheng-7390	35	10	the	the	DET
fumecheng-7390	35	11	dimensionless	dimensionless	NOUN
fumecheng-7390	35	12	variables	variable	NOUN
fumecheng-7390	35	13	that	that	PRON
fumecheng-7390	35	14	parametrize	parametrize	VERB
fumecheng-7390	35	15	the	the	DET
fumecheng-7390	35	16	behavior	behavior	NOUN
fumecheng-7390	35	17	of	of	ADP
fumecheng-7390	35	18	the	the	DET
fumecheng-7390	35	19	system	system	NOUN
fumecheng-7390	35	20	:	:	PUNCT
fumecheng-7390	35	21	0	0	NUM
fumecheng-7390	35	22	0	0	NUM
fumecheng-7390	35	23	,	,	PUNCT
fumecheng-7390	35	24	,	,	PUNCT
fumecheng-7390	35	25	xz	xz	PROPN
fumecheng-7390	35	26	z	z	PROPN
fumecheng-7390	35	27	z	z	PROPN
fumecheng-7390	35	28	z	z	PROPN
fumecheng-7390	35	29	k	k	PROPN
fumecheng-7390	35	30	va	va	PROPN
fumecheng-7390	35	31	ft	ft	PART
fumecheng-7390	35	32	u	u	PROPN
fumecheng-7390	35	33	k	k	PROPN
fumecheng-7390	35	34	a	a	DET
fumecheng-7390	35	35	f	f	PROPN
fumecheng-7390	35	36			NOUN
fumecheng-7390	35	37			PROPN
fumecheng-7390	35	38			ADJ
fumecheng-7390	35	39			NOUN
fumecheng-7390	35	40	=	=	PUNCT
fumecheng-7390	35	41	=	=	SYM
fumecheng-7390	35	42	=	=	SYM
fumecheng-7390	35	43	(	(	PUNCT
fumecheng-7390	35	44	5	5	NUM
fumecheng-7390	35	45	)	)	PUNCT
fumecheng-7390	35	46	the	the	DET
fumecheng-7390	35	47	eq	eq	NOUN
fumecheng-7390	35	48	.	.	PUNCT
fumecheng-7390	36	1	(	(	PUNCT
fumecheng-7390	36	2	4	4	X
fumecheng-7390	36	3	)	)	PUNCT
fumecheng-7390	36	4	does	do	AUX
fumecheng-7390	36	5	not	not	PART
fumecheng-7390	36	6	necessarily	necessarily	ADV
fumecheng-7390	36	7	have	have	VERB
fumecheng-7390	36	8	solutions	solution	NOUN
fumecheng-7390	36	9	.	.	PUNCT
fumecheng-7390	37	1	for	for	SCONJ
fumecheng-7390	37	2	stick	stick	NOUN
fumecheng-7390	37	3	-	-	PUNCT
fumecheng-7390	37	4	slip	slip	NOUN
fumecheng-7390	37	5	to	to	PART
fumecheng-7390	37	6	be	be	AUX
fumecheng-7390	37	7	present	present	ADJ
fumecheng-7390	37	8	,	,	PUNCT
fumecheng-7390	37	9	it	it	PRON
fumecheng-7390	37	10	is	be	AUX
fumecheng-7390	37	11	necessary	necessary	ADJ
fumecheng-7390	37	12	that	that	SCONJ
fumecheng-7390	37	13	max	max	PROPN
fumecheng-7390	37	14	(	(	PUNCT
fumecheng-7390	37	15	)	)	PUNCT
fumecheng-7390	37	16	cw	cw	PROPN
fumecheng-7390	37	17			PROPN
fumecheng-7390	37	18			PROPN
fumecheng-7390	37	19			PROPN
fumecheng-7390	37	20			NOUN
fumecheng-7390	37	21	=	=	SYM
fumecheng-7390	37	22	(	(	PUNCT
fumecheng-7390	37	23	6	6	NUM
fumecheng-7390	37	24	)	)	PUNCT
fumecheng-7390	37	25	where	where	SCONJ
fumecheng-7390	37	26	βc	βc	PRON
fumecheng-7390	37	27	is	be	AUX
fumecheng-7390	37	28	the	the	DET
fumecheng-7390	37	29	maximum	maximum	ADJ
fumecheng-7390	37	30	positive	positive	ADJ
fumecheng-7390	37	31	gradient	gradient	NOUN
fumecheng-7390	37	32	of	of	ADP
fumecheng-7390	37	33	the	the	DET
fumecheng-7390	37	34	oscillation	oscillation	NOUN
fumecheng-7390	37	35	waveform	waveform	NOUN
fumecheng-7390	37	36	.	.	PUNCT
fumecheng-7390	38	1	if	if	SCONJ
fumecheng-7390	38	2	the	the	DET
fumecheng-7390	38	3	dimensionless	dimensionless	NOUN
fumecheng-7390	38	4	velocity	velocity	NOUN
fumecheng-7390	38	5	β	β	NOUN
fumecheng-7390	38	6	exceeds	exceed	VERB
fumecheng-7390	38	7	this	this	DET
fumecheng-7390	38	8	threshold	threshold	NOUN
fumecheng-7390	38	9	value	value	NOUN
fumecheng-7390	38	10	,	,	PUNCT
fumecheng-7390	38	11	stick	stick	NOUN
fumecheng-7390	38	12	-	-	PUNCT
fumecheng-7390	38	13	slip	slip	NOUN
fumecheng-7390	38	14	becomes	become	VERB
fumecheng-7390	38	15	impossible	impossible	ADJ
fumecheng-7390	38	16	and	and	CCONJ
fumecheng-7390	38	17	the	the	DET
fumecheng-7390	38	18	macroscopic	macroscopic	ADJ
fumecheng-7390	38	19	coefficient	coefficient	NOUN
fumecheng-7390	38	20	of	of	ADP
fumecheng-7390	38	21	friction	friction	NOUN
fumecheng-7390	38	22			NOUN
fumecheng-7390	38	23	is	be	AUX
fumecheng-7390	38	24	the	the	DET
fumecheng-7390	38	25	same	same	ADJ
fumecheng-7390	38	26	as	as	ADP
fumecheng-7390	38	27	the	the	DET
fumecheng-7390	38	28	intrinsic	intrinsic	ADJ
fumecheng-7390	38	29	coefficient	coefficient	NOUN
fumecheng-7390	38	30	of	of	ADP
fumecheng-7390	38	31	friction	friction	NOUN
fumecheng-7390	38	32	µ0	µ0	NOUN
fumecheng-7390	38	33	.	.	PUNCT
fumecheng-7390	39	1	otherwise	otherwise	ADV
fumecheng-7390	39	2	it	it	PRON
fumecheng-7390	39	3	is	be	AUX
fumecheng-7390	39	4	reduced	reduce	VERB
fumecheng-7390	39	5	by	by	ADP
fumecheng-7390	39	6	some	some	DET
fumecheng-7390	39	7	amount	amount	NOUN
fumecheng-7390	39	8	that	that	PRON
fumecheng-7390	39	9	depends	depend	VERB
fumecheng-7390	39	10	on	on	ADP
fumecheng-7390	39	11	α	α	NOUN
fumecheng-7390	39	12	,	,	PUNCT
fumecheng-7390	39	13	β	β	X
fumecheng-7390	39	14	and	and	CCONJ
fumecheng-7390	39	15	the	the	DET
fumecheng-7390	39	16	shape	shape	NOUN
fumecheng-7390	39	17	of	of	ADP
fumecheng-7390	39	18	w.	w.	NOUN
fumecheng-7390	39	19	if	if	SCONJ
fumecheng-7390	39	20	condition	condition	NOUN
fumecheng-7390	39	21	(	(	PUNCT
fumecheng-7390	39	22	6	6	NUM
fumecheng-7390	39	23	)	)	PUNCT
fumecheng-7390	39	24	is	be	AUX
fumecheng-7390	39	25	satisfied	satisfied	ADJ
fumecheng-7390	39	26	and	and	CCONJ
fumecheng-7390	39	27	stick	stick	NOUN
fumecheng-7390	39	28	is	be	AUX
fumecheng-7390	39	29	initiated	initiate	VERB
fumecheng-7390	39	30	,	,	PUNCT
fumecheng-7390	39	31	the	the	DET
fumecheng-7390	39	32	spring	spring	NOUN
fumecheng-7390	39	33	continues	continue	VERB
fumecheng-7390	39	34	stretching	stretch	VERB
fumecheng-7390	39	35	with	with	ADP
fumecheng-7390	39	36	the	the	DET
fumecheng-7390	39	37	constant	constant	ADJ
fumecheng-7390	39	38	velocity	velocity	NOUN
fumecheng-7390	39	39	v0	v0	NOUN
fumecheng-7390	39	40	and	and	CCONJ
fumecheng-7390	39	41	the	the	DET
fumecheng-7390	39	42	lateral	lateral	ADJ
fumecheng-7390	39	43	spring	spring	NOUN
fumecheng-7390	39	44	force	force	NOUN
fumecheng-7390	39	45	therefore	therefore	ADV
fumecheng-7390	39	46	increases	increase	VERB
fumecheng-7390	39	47	linearly	linearly	ADV
fumecheng-7390	39	48	with	with	ADP
fumecheng-7390	39	49	time	time	NOUN
fumecheng-7390	39	50	:	:	PUNCT
fumecheng-7390	39	51	stick	stick	NOUN
fumecheng-7390	39	52	0	0	NUM
fumecheng-7390	39	53	1	1	NUM
fumecheng-7390	39	54	0	0	NUM
fumecheng-7390	39	55	1	1	NUM
fumecheng-7390	39	56	(	(	PUNCT
fumecheng-7390	39	57	)	)	PUNCT
fumecheng-7390	39	58	(	(	PUNCT
fumecheng-7390	39	59	)	)	PUNCT
fumecheng-7390	39	60	(	(	PUNCT
fumecheng-7390	39	61	)	)	PUNCT
fumecheng-7390	40	1	z	z	NOUN
fumecheng-7390	40	2	xf	xf	PROPN
fumecheng-7390	41	1	t	t	PROPN
fumecheng-7390	42	1	f	f	PROPN
fumecheng-7390	42	2	t	t	PROPN
fumecheng-7390	42	3	k	k	PROPN
fumecheng-7390	42	4	v	v	X
fumecheng-7390	42	5	t	t	X
fumecheng-7390	42	6	t=	t=	PROPN
fumecheng-7390	43	1	+	+	CCONJ
fumecheng-7390	43	2	−	−	PROPN
fumecheng-7390	43	3	(	(	PUNCT
fumecheng-7390	43	4	7	7	X
fumecheng-7390	43	5	)	)	PUNCT
fumecheng-7390	43	6	this	this	PRON
fumecheng-7390	43	7	continues	continue	VERB
fumecheng-7390	43	8	while	while	SCONJ
fumecheng-7390	43	9	the	the	DET
fumecheng-7390	43	10	stick	stick	NOUN
fumecheng-7390	43	11	condition	condition	NOUN
fumecheng-7390	43	12	fstick	fstick	PROPN
fumecheng-7390	43	13	<	<	X
fumecheng-7390	43	14	µ0fz(t	µ0fz(t	PROPN
fumecheng-7390	43	15	)	)	PUNCT
fumecheng-7390	43	16	holds	hold	VERB
fumecheng-7390	43	17	.	.	PUNCT
fumecheng-7390	44	1	substituting	substitute	VERB
fumecheng-7390	44	2	fz	fz	PROPN
fumecheng-7390	44	3	=	=	SYM
fumecheng-7390	44	4	kzuz	kzuz	NOUN
fumecheng-7390	44	5	and	and	CCONJ
fumecheng-7390	44	6	rearranging	rearrange	VERB
fumecheng-7390	44	7	gives	give	VERB
fumecheng-7390	44	8	the	the	DET
fumecheng-7390	44	9	end	end	NOUN
fumecheng-7390	44	10	of	of	ADP
fumecheng-7390	44	11	the	the	DET
fumecheng-7390	44	12	stick	stick	NOUN
fumecheng-7390	44	13	phase	phase	NOUN
fumecheng-7390	44	14	φ2	φ2	PROPN
fumecheng-7390	44	15	in	in	ADP
fumecheng-7390	44	16	implicit	implicit	ADJ
fumecheng-7390	44	17	form	form	NOUN
fumecheng-7390	44	18	:	:	PUNCT
fumecheng-7390	44	19	2	2	NUM
fumecheng-7390	44	20	1	1	NUM
fumecheng-7390	44	21	2	2	NUM
fumecheng-7390	44	22	1	1	NUM
fumecheng-7390	44	23	(	(	PUNCT
fumecheng-7390	44	24	)	)	PUNCT
fumecheng-7390	44	25	(	(	PUNCT
fumecheng-7390	44	26	)	)	PUNCT
fumecheng-7390	44	27	(	(	PUNCT
fumecheng-7390	44	28	)	)	PUNCT
fumecheng-7390	44	29	w	w	NOUN
fumecheng-7390	44	30	w	w	NOUN
fumecheng-7390	44	31			ADJ
fumecheng-7390	44	32			PROPN
fumecheng-7390	44	33			PROPN
fumecheng-7390	44	34	−	−	NOUN
fumecheng-7390	44	35	=	=	SYM
fumecheng-7390	45	1	−	−	PROPN
fumecheng-7390	45	2	(	(	PUNCT
fumecheng-7390	45	3	8)	8)	NUM
fumecheng-7390	45	4	the	the	DET
fumecheng-7390	45	5	stick	stick	NOUN
fumecheng-7390	45	6	-	-	PUNCT
fumecheng-7390	45	7	slip	slip	NOUN
fumecheng-7390	45	8	process	process	NOUN
fumecheng-7390	45	9	is	be	AUX
fumecheng-7390	45	10	visualized	visualize	VERB
fumecheng-7390	45	11	in	in	ADP
fumecheng-7390	45	12	fig	fig	NOUN
fumecheng-7390	45	13	.	.	PUNCT
fumecheng-7390	46	1	2	2	X
fumecheng-7390	46	2	.	.	X
fumecheng-7390	46	3	the	the	DET
fumecheng-7390	46	4	macroscopic	macroscopic	ADJ
fumecheng-7390	46	5	friction	friction	NOUN
fumecheng-7390	46	6	force	force	NOUN
fumecheng-7390	46	7	xf	xf	PROPN
fumecheng-7390	46	8	is	be	AUX
fumecheng-7390	46	9	computed	compute	VERB
fumecheng-7390	46	10	by	by	ADP
fumecheng-7390	46	11	integrating	integrate	VERB
fumecheng-7390	46	12	fx(t	fx(t	NOUN
fumecheng-7390	46	13	)	)	PUNCT
fumecheng-7390	46	14	over	over	ADP
fumecheng-7390	46	15	both	both	CCONJ
fumecheng-7390	46	16	the	the	DET
fumecheng-7390	46	17	slip	slip	NOUN
fumecheng-7390	46	18	and	and	CCONJ
fumecheng-7390	46	19	stick	stick	NOUN
fumecheng-7390	46	20	periods	period	NOUN
fumecheng-7390	46	21	:	:	PUNCT
fumecheng-7390	46	22	0	0	NUM
fumecheng-7390	46	23	1	1	NUM
fumecheng-7390	46	24	(	(	PUNCT
fumecheng-7390	46	25	)	)	PUNCT
fumecheng-7390	46	26	d	d	NOUN
fumecheng-7390	46	27	t	t	NOUN
fumecheng-7390	46	28	x	x	PUNCT
fumecheng-7390	47	1	xf	xf	PROPN
fumecheng-7390	47	2	f	f	PROPN
fumecheng-7390	47	3	t	t	PROPN
fumecheng-7390	47	4	t	t	PROPN
fumecheng-7390	47	5	t	t	PROPN
fumecheng-7390	47	6	=	=	SYM
fumecheng-7390	47	7			X
fumecheng-7390	47	8	(	(	PUNCT
fumecheng-7390	47	9	9	9	NUM
fumecheng-7390	47	10	)	)	SYM
fumecheng-7390	47	11	108	108	NUM
fumecheng-7390	47	12	m.	m.	NOUN
fumecheng-7390	47	13	popov	popov	PROPN
fumecheng-7390	47	14	fig	fig	PROPN
fumecheng-7390	47	15	.	.	PUNCT
fumecheng-7390	47	16	2	2	NUM
fumecheng-7390	47	17	stick	stick	NOUN
fumecheng-7390	47	18	and	and	CCONJ
fumecheng-7390	47	19	slip	slip	VERB
fumecheng-7390	47	20	under	under	ADP
fumecheng-7390	47	21	the	the	DET
fumecheng-7390	47	22	influence	influence	NOUN
fumecheng-7390	47	23	of	of	ADP
fumecheng-7390	47	24	a	a	DET
fumecheng-7390	47	25	harmonic	harmonic	ADJ
fumecheng-7390	47	26	oscillation	oscillation	NOUN
fumecheng-7390	47	27	.	.	PUNCT
fumecheng-7390	48	1	the	the	DET
fumecheng-7390	48	2	dotted	dotted	ADJ
fumecheng-7390	48	3	line	line	NOUN
fumecheng-7390	48	4	represents	represent	VERB
fumecheng-7390	48	5	the	the	DET
fumecheng-7390	48	6	tangential	tangential	ADJ
fumecheng-7390	48	7	force	force	NOUN
fumecheng-7390	48	8	as	as	SCONJ
fumecheng-7390	48	9	it	it	PRON
fumecheng-7390	48	10	would	would	AUX
fumecheng-7390	48	11	be	be	AUX
fumecheng-7390	48	12	in	in	ADP
fumecheng-7390	48	13	pure	pure	ADJ
fumecheng-7390	48	14	slip	slip	NOUN
fumecheng-7390	48	15	,	,	PUNCT
fumecheng-7390	48	16	fslip	fslip	NOUN
fumecheng-7390	48	17	=	=	SYM
fumecheng-7390	48	18	µ0fz(t	µ0fz(t	PROPN
fumecheng-7390	48	19	)	)	PUNCT
fumecheng-7390	48	20	.	.	PUNCT
fumecheng-7390	49	1	the	the	DET
fumecheng-7390	49	2	solid	solid	ADJ
fumecheng-7390	49	3	line	line	NOUN
fumecheng-7390	49	4	is	be	AUX
fumecheng-7390	49	5	the	the	DET
fumecheng-7390	49	6	actual	actual	ADJ
fumecheng-7390	49	7	tangential	tangential	ADJ
fumecheng-7390	49	8	force	force	NOUN
fumecheng-7390	49	9	in	in	ADP
fumecheng-7390	49	10	the	the	DET
fumecheng-7390	49	11	presence	presence	NOUN
fumecheng-7390	49	12	of	of	ADP
fumecheng-7390	49	13	stick	stick	NOUN
fumecheng-7390	49	14	-	-	PUNCT
fumecheng-7390	49	15	slip	slip	NOUN
fumecheng-7390	49	16	.	.	PUNCT
fumecheng-7390	50	1	the	the	DET
fumecheng-7390	50	2	stick	stick	NOUN
fumecheng-7390	50	3	phases	phase	NOUN
fumecheng-7390	50	4	are	be	AUX
fumecheng-7390	50	5	the	the	DET
fumecheng-7390	50	6	straight	straight	ADJ
fumecheng-7390	50	7	segments	segment	NOUN
fumecheng-7390	50	8	,	,	PUNCT
fumecheng-7390	50	9	e.g.	e.g.	ADV
fumecheng-7390	50	10	between	between	ADP
fumecheng-7390	50	11	t1	t1	NOUN
fumecheng-7390	50	12	and	and	CCONJ
fumecheng-7390	50	13	t2	t2	NOUN
fumecheng-7390	50	14	,	,	PUNCT
fumecheng-7390	50	15	while	while	SCONJ
fumecheng-7390	50	16	slip	slip	NOUN
fumecheng-7390	50	17	phases	phase	NOUN
fumecheng-7390	50	18	are	be	AUX
fumecheng-7390	50	19	the	the	DET
fumecheng-7390	50	20	sinusoidal	sinusoidal	ADJ
fumecheng-7390	50	21	segments	segment	NOUN
fumecheng-7390	50	22	,	,	PUNCT
fumecheng-7390	50	23	e.g.	e.g.	ADV
fumecheng-7390	50	24	between	between	ADP
fumecheng-7390	50	25	2	2	NUM
fumecheng-7390	50	26	t	t	NOUN
fumecheng-7390	50	27			NOUN
fumecheng-7390	50	28	and	and	CCONJ
fumecheng-7390	50	29	t1	t1	VERB
fumecheng-7390	50	30	,	,	PUNCT
fumecheng-7390	50	31	repeating	repeat	VERB
fumecheng-7390	50	32	periodically	periodically	ADV
fumecheng-7390	50	33	.	.	PUNCT
fumecheng-7390	51	1	note	note	VERB
fumecheng-7390	51	2	that	that	SCONJ
fumecheng-7390	51	3	fx	fx	PROPN
fumecheng-7390	51	4	≤	≤	NUM
fumecheng-7390	51	5	fslip	fslip	NOUN
fumecheng-7390	51	6	everywhere	everywhere	ADV
fumecheng-7390	51	7	,	,	PUNCT
fumecheng-7390	51	8	which	which	PRON
fumecheng-7390	51	9	is	be	AUX
fumecheng-7390	51	10	the	the	DET
fumecheng-7390	51	11	origin	origin	NOUN
fumecheng-7390	51	12	of	of	ADP
fumecheng-7390	51	13	friction	friction	NOUN
fumecheng-7390	51	14	reduction	reduction	NOUN
fumecheng-7390	51	15	in	in	ADP
fumecheng-7390	51	16	our	our	PRON
fumecheng-7390	51	17	model	model	NOUN
fumecheng-7390	51	18	.	.	PUNCT
fumecheng-7390	52	1	since	since	SCONJ
fumecheng-7390	52	2	fx	fx	PROPN
fumecheng-7390	52	3	only	only	ADV
fumecheng-7390	52	4	differs	differ	VERB
fumecheng-7390	52	5	from	from	ADP
fumecheng-7390	52	6	µ0fz	µ0fz	PUNCT
fumecheng-7390	52	7	during	during	ADP
fumecheng-7390	52	8	the	the	DET
fumecheng-7390	52	9	stick	stick	NOUN
fumecheng-7390	52	10	phase	phase	NOUN
fumecheng-7390	52	11	,	,	PUNCT
fumecheng-7390	52	12	it	it	PRON
fumecheng-7390	52	13	is	be	AUX
fumecheng-7390	52	14	actually	actually	ADV
fumecheng-7390	52	15	more	more	ADV
fumecheng-7390	52	16	convenient	convenient	ADJ
fumecheng-7390	52	17	to	to	PART
fumecheng-7390	52	18	determine	determine	VERB
fumecheng-7390	52	19	the	the	DET
fumecheng-7390	52	20	absolute	absolute	ADJ
fumecheng-7390	52	21	force	force	NOUN
fumecheng-7390	52	22	reduction	reduction	NOUN
fumecheng-7390	52	23	0x	0x	NOUN
fumecheng-7390	52	24	z	z	PROPN
fumecheng-7390	52	25	xf	xf	PROPN
fumecheng-7390	53	1	f	f	PROPN
fumecheng-7390	53	2	f	f	PROPN
fumecheng-7390	53	3	=	=	NOUN
fumecheng-7390	53	4	−	−	NOUN
fumecheng-7390	53	5	:	:	PUNCT
fumecheng-7390	53	6	2	2	NUM
fumecheng-7390	53	7	1	1	NUM
fumecheng-7390	53	8	0	0	NUM
fumecheng-7390	53	9	stick	stick	NOUN
fumecheng-7390	53	10	1	1	NUM
fumecheng-7390	53	11	(	(	PUNCT
fumecheng-7390	53	12	(	(	PUNCT
fumecheng-7390	53	13	)	)	PUNCT
fumecheng-7390	53	14	(	(	PUNCT
fumecheng-7390	53	15	)	)	PUNCT
fumecheng-7390	53	16	)	)	PUNCT
fumecheng-7390	54	1	d	d	NOUN
fumecheng-7390	54	2	t	t	NOUN
fumecheng-7390	54	3	x	x	X
fumecheng-7390	54	4	z	z	NOUN
fumecheng-7390	54	5	t	t	PROPN
fumecheng-7390	55	1	f	f	X
fumecheng-7390	55	2	f	f	PROPN
fumecheng-7390	55	3	t	t	PROPN
fumecheng-7390	55	4	f	f	PROPN
fumecheng-7390	55	5	t	t	PROPN
fumecheng-7390	55	6	t	t	PROPN
fumecheng-7390	55	7	t	t	PROPN
fumecheng-7390	55	8			PROPN
fumecheng-7390	55	9	=	=	X
fumecheng-7390	55	10	−	−	NOUN
fumecheng-7390	55	11	(	(	PUNCT
fumecheng-7390	55	12	10	10	NUM
fumecheng-7390	55	13	)	)	PUNCT
fumecheng-7390	55	14	after	after	ADP
fumecheng-7390	55	15	expanding	expand	VERB
fumecheng-7390	55	16	and	and	CCONJ
fumecheng-7390	55	17	rearranging	rearrange	VERB
fumecheng-7390	55	18	,	,	PUNCT
fumecheng-7390	55	19	it	it	PRON
fumecheng-7390	55	20	is	be	AUX
fumecheng-7390	55	21	found	find	VERB
fumecheng-7390	55	22	that	that	SCONJ
fumecheng-7390	55	23	δfx	δfx	PROPN
fumecheng-7390	55	24	can	can	AUX
fumecheng-7390	55	25	be	be	AUX
fumecheng-7390	55	26	expressed	express	VERB
fumecheng-7390	55	27	as	as	ADP
fumecheng-7390	55	28	0	0	NUM
fumecheng-7390	55	29	(	(	PUNCT
fumecheng-7390	55	30	)	)	PUNCT
fumecheng-7390	55	31	x	x	SYM
fumecheng-7390	56	1	z	z	NOUN
fumecheng-7390	56	2	z	z	NOUN
fumecheng-7390	56	3	wf	wf	PROPN
fumecheng-7390	56	4	k	k	X
fumecheng-7390	56	5	a	a	X
fumecheng-7390	56	6			NOUN
fumecheng-7390	56	7	=	=	SYM
fumecheng-7390	56	8			PROPN
fumecheng-7390	56	9	(	(	PUNCT
fumecheng-7390	56	10	11	11	NUM
fumecheng-7390	56	11	)	)	PUNCT
fumecheng-7390	56	12	where	where	SCONJ
fumecheng-7390	56	13	ψw	ψw	NOUN
fumecheng-7390	56	14	is	be	AUX
fumecheng-7390	56	15	a	a	DET
fumecheng-7390	56	16	dimensionless	dimensionless	ADJ
fumecheng-7390	56	17	“	"	PUNCT
fumecheng-7390	56	18	reduction	reduction	NOUN
fumecheng-7390	56	19	function	function	NOUN
fumecheng-7390	56	20	”	"	PUNCT
fumecheng-7390	56	21	that	that	PRON
fumecheng-7390	56	22	is	be	AUX
fumecheng-7390	56	23	specific	specific	ADJ
fumecheng-7390	56	24	to	to	ADP
fumecheng-7390	56	25	the	the	DET
fumecheng-7390	56	26	waveform	waveform	NOUN
fumecheng-7390	56	27	w	w	PROPN
fumecheng-7390	56	28	:	:	PUNCT
fumecheng-7390	56	29	(	(	PUNCT
fumecheng-7390	56	30	)	)	PUNCT
fumecheng-7390	56	31	2	2	NUM
fumecheng-7390	56	32	1	1	NUM
fumecheng-7390	56	33	1	1	NUM
fumecheng-7390	56	34	1	1	NUM
fumecheng-7390	56	35	(	(	PUNCT
fumecheng-7390	56	36	(	(	PUNCT
fumecheng-7390	56	37	)	)	PUNCT
fumecheng-7390	56	38	(	(	PUNCT
fumecheng-7390	56	39	)	)	PUNCT
fumecheng-7390	56	40	(	(	PUNCT
fumecheng-7390	56	41	)	)	PUNCT
fumecheng-7390	56	42	)	)	PUNCT
fumecheng-7390	56	43	dw	dw	PROPN
fumecheng-7390	56	44	w	w	PROPN
fumecheng-7390	56	45	w	w	PROPN
fumecheng-7390	56	46			PROPN
fumecheng-7390	56	47			PROPN
fumecheng-7390	56	48			PROPN
fumecheng-7390	56	49			PROPN
fumecheng-7390	56	50			PROPN
fumecheng-7390	56	51			PROPN
fumecheng-7390	56	52			ADJ
fumecheng-7390	56	53			ADJ
fumecheng-7390	56	54			NOUN
fumecheng-7390	56	55	=	=	PUNCT
fumecheng-7390	56	56	−	−	PROPN
fumecheng-7390	56	57	−	−	PROPN
fumecheng-7390	56	58	−	−	NOUN
fumecheng-7390	56	59	(	(	PUNCT
fumecheng-7390	56	60	12	12	NUM
fumecheng-7390	56	61	)	)	PUNCT
fumecheng-7390	56	62	the	the	DET
fumecheng-7390	56	63	macroscopic	macroscopic	ADJ
fumecheng-7390	56	64	coefficient	coefficient	NOUN
fumecheng-7390	56	65	of	of	ADP
fumecheng-7390	56	66	friction	friction	NOUN
fumecheng-7390	56	67			NOUN
fumecheng-7390	56	68	can	can	AUX
fumecheng-7390	56	69	then	then	ADV
fumecheng-7390	56	70	be	be	AUX
fumecheng-7390	56	71	recovered	recover	VERB
fumecheng-7390	56	72	through	through	ADP
fumecheng-7390	56	73	0	0	NUM
fumecheng-7390	56	74	0	0	NUM
fumecheng-7390	56	75	0	0	NUM
fumecheng-7390	57	1	(	(	PUNCT
fumecheng-7390	57	2	1	1	NUM
fumecheng-7390	57	3	(	(	PUNCT
fumecheng-7390	57	4	)	)	PUNCT
fumecheng-7390	57	5	)	)	PUNCT
fumecheng-7390	58	1	z	z	NOUN
fumecheng-7390	59	1	x	x	PUNCT
fumecheng-7390	59	2	x	x	PUNCT
fumecheng-7390	59	3	w	w	PROPN
fumecheng-7390	59	4	z	z	PROPN
fumecheng-7390	59	5	z	z	NOUN
fumecheng-7390	59	6	z	z	NOUN
fumecheng-7390	60	1	f	f	X
fumecheng-7390	60	2	f	f	X
fumecheng-7390	60	3	f	f	PROPN
fumecheng-7390	60	4	f	f	PROPN
fumecheng-7390	60	5	k	k	PROPN
fumecheng-7390	60	6	u	u	PROPN
fumecheng-7390	60	7			NOUN
fumecheng-7390	60	8			NOUN
fumecheng-7390	60	9			NOUN
fumecheng-7390	60	10			NOUN
fumecheng-7390	60	11			X
fumecheng-7390	60	12			PROPN
fumecheng-7390	60	13	−	−	NUM
fumecheng-7390	60	14			PUNCT
fumecheng-7390	61	1	=	=	PUNCT
fumecheng-7390	61	2	=	=	PUNCT
fumecheng-7390	62	1	−	−	PROPN
fumecheng-7390	62	2	=	=	PUNCT
fumecheng-7390	63	1	−	−	PROPN
fumecheng-7390	63	2			PROPN
fumecheng-7390	63	3	(	(	PUNCT
fumecheng-7390	63	4	13	13	NUM
fumecheng-7390	63	5	)	)	PUNCT
fumecheng-7390	63	6	this	this	PRON
fumecheng-7390	63	7	puts	put	VERB
fumecheng-7390	63	8	the	the	DET
fumecheng-7390	63	9	dependence	dependence	NOUN
fumecheng-7390	63	10	into	into	ADP
fumecheng-7390	63	11	a	a	DET
fumecheng-7390	63	12	very	very	ADV
fumecheng-7390	63	13	simple	simple	ADJ
fumecheng-7390	63	14	form	form	NOUN
fumecheng-7390	63	15	,	,	PUNCT
fumecheng-7390	63	16	with	with	ADP
fumecheng-7390	63	17	most	most	ADJ
fumecheng-7390	63	18	of	of	ADP
fumecheng-7390	63	19	the	the	DET
fumecheng-7390	63	20	complexity	complexity	NOUN
fumecheng-7390	63	21	contained	contain	VERB
fumecheng-7390	63	22	in	in	ADP
fumecheng-7390	63	23	a	a	DET
fumecheng-7390	63	24	function	function	NOUN
fumecheng-7390	63	25	of	of	ADP
fumecheng-7390	63	26	one	one	NUM
fumecheng-7390	63	27	argument	argument	NOUN
fumecheng-7390	63	28	,	,	PUNCT
fumecheng-7390	63	29	ψw(β	ψw(β	PUNCT
fumecheng-7390	63	30	)	)	PUNCT
fumecheng-7390	63	31	.	.	PUNCT
fumecheng-7390	64	1	this	this	DET
fumecheng-7390	64	2	function	function	NOUN
fumecheng-7390	64	3	,	,	PUNCT
fumecheng-7390	64	4	however	however	ADV
fumecheng-7390	64	5	,	,	PUNCT
fumecheng-7390	64	6	needs	need	VERB
fumecheng-7390	64	7	to	to	PART
fumecheng-7390	64	8	be	be	AUX
fumecheng-7390	64	9	determined	determine	VERB
fumecheng-7390	64	10	numerically	numerically	ADV
fumecheng-7390	64	11	in	in	ADP
fumecheng-7390	64	12	most	most	ADJ
fumecheng-7390	64	13	cases	case	NOUN
fumecheng-7390	64	14	.	.	PUNCT
fumecheng-7390	65	1	this	this	PRON
fumecheng-7390	65	2	concludes	conclude	VERB
fumecheng-7390	65	3	our	our	PRON
fumecheng-7390	65	4	whirlwind	whirlwind	ADJ
fumecheng-7390	65	5	tour	tour	NOUN
fumecheng-7390	65	6	of	of	ADP
fumecheng-7390	65	7	the	the	DET
fumecheng-7390	65	8	model	model	NOUN
fumecheng-7390	65	9	framework	framework	NOUN
fumecheng-7390	65	10	that	that	PRON
fumecheng-7390	65	11	will	will	AUX
fumecheng-7390	65	12	be	be	AUX
fumecheng-7390	65	13	used	use	VERB
fumecheng-7390	65	14	in	in	ADP
fumecheng-7390	65	15	the	the	DET
fumecheng-7390	65	16	sequel	sequel	NOUN
fumecheng-7390	65	17	.	.	PUNCT
fumecheng-7390	66	1	a	a	DET
fumecheng-7390	66	2	less	less	ADV
fumecheng-7390	66	3	hurried	hurried	ADJ
fumecheng-7390	66	4	presentation	presentation	NOUN
fumecheng-7390	66	5	can	can	AUX
fumecheng-7390	66	6	be	be	AUX
fumecheng-7390	66	7	found	find	VERB
fumecheng-7390	66	8	in	in	ADP
fumecheng-7390	66	9	[	[	X
fumecheng-7390	66	10	10	10	NUM
fumecheng-7390	66	11	]	]	PUNCT
fumecheng-7390	66	12	.	.	PUNCT
fumecheng-7390	67	1	friction	friction	NOUN
fumecheng-7390	67	2	under	under	ADP
fumecheng-7390	67	3	large	large	ADJ
fumecheng-7390	67	4	-	-	PUNCT
fumecheng-7390	67	5	amplitude	amplitude	NOUN
fumecheng-7390	67	6	normal	normal	ADJ
fumecheng-7390	67	7	oscillations	oscillation	NOUN
fumecheng-7390	67	8	109	109	NUM
fumecheng-7390	67	9	3	3	NUM
fumecheng-7390	67	10	.	.	PUNCT
fumecheng-7390	67	11	large	large	ADJ
fumecheng-7390	67	12	amplitudes	amplitude	NOUN
fumecheng-7390	67	13	in	in	ADP
fumecheng-7390	67	14	the	the	DET
fumecheng-7390	67	15	preceding	precede	VERB
fumecheng-7390	67	16	discussion	discussion	NOUN
fumecheng-7390	67	17	it	it	PRON
fumecheng-7390	67	18	was	be	AUX
fumecheng-7390	67	19	implicitly	implicitly	ADV
fumecheng-7390	67	20	assumed	assume	VERB
fumecheng-7390	67	21	that	that	SCONJ
fumecheng-7390	67	22	the	the	DET
fumecheng-7390	67	23	amplitude	amplitude	NOUN
fumecheng-7390	67	24	az	az	PROPN
fumecheng-7390	67	25	is	be	AUX
fumecheng-7390	67	26	smaller	small	ADJ
fumecheng-7390	67	27	than	than	ADP
fumecheng-7390	67	28	the	the	DET
fumecheng-7390	67	29	mean	mean	ADJ
fumecheng-7390	67	30	indentation	indentation	NOUN
fumecheng-7390	67	31	zu	zu	ADV
fumecheng-7390	67	32	,	,	PUNCT
fumecheng-7390	67	33	so	so	SCONJ
fumecheng-7390	67	34	that	that	SCONJ
fumecheng-7390	67	35	the	the	DET
fumecheng-7390	67	36	bodies	body	NOUN
fumecheng-7390	67	37	are	be	AUX
fumecheng-7390	67	38	permanently	permanently	ADV
fumecheng-7390	67	39	in	in	ADP
fumecheng-7390	67	40	contact	contact	NOUN
fumecheng-7390	67	41	and	and	CCONJ
fumecheng-7390	67	42	the	the	DET
fumecheng-7390	67	43	normal	normal	ADJ
fumecheng-7390	67	44	force	force	NOUN
fumecheng-7390	67	45	is	be	AUX
fumecheng-7390	67	46	non	non	ADJ
fumecheng-7390	67	47	-	-	ADJ
fumecheng-7390	67	48	negative	negative	ADJ
fumecheng-7390	67	49	.	.	PUNCT
fumecheng-7390	68	1	the	the	DET
fumecheng-7390	68	2	purpose	purpose	NOUN
fumecheng-7390	68	3	of	of	ADP
fumecheng-7390	68	4	this	this	DET
fumecheng-7390	68	5	paper	paper	NOUN
fumecheng-7390	68	6	is	be	AUX
fumecheng-7390	68	7	to	to	PART
fumecheng-7390	68	8	extend	extend	VERB
fumecheng-7390	68	9	the	the	DET
fumecheng-7390	68	10	analysis	analysis	NOUN
fumecheng-7390	68	11	to	to	ADP
fumecheng-7390	68	12	z	z	PROPN
fumecheng-7390	68	13	za	za	PROPN
fumecheng-7390	69	1	u	u	PROPN
fumecheng-7390	69	2	,	,	PUNCT
fumecheng-7390	69	3	that	that	ADV
fumecheng-7390	69	4	is	is	ADV
fumecheng-7390	69	5	,	,	PUNCT
fumecheng-7390	69	6	cases	case	NOUN
fumecheng-7390	69	7	where	where	SCONJ
fumecheng-7390	69	8	the	the	DET
fumecheng-7390	69	9	bodies	body	NOUN
fumecheng-7390	69	10	lose	lose	VERB
fumecheng-7390	69	11	contact	contact	NOUN
fumecheng-7390	69	12	periodically	periodically	ADV
fumecheng-7390	69	13	.	.	PUNCT
fumecheng-7390	70	1	equivalently	equivalently	ADV
fumecheng-7390	70	2	,	,	PUNCT
fumecheng-7390	70	3	z	z	PROPN
fumecheng-7390	70	4	z	z	NOUN
fumecheng-7390	70	5	za	za	PROPN
fumecheng-7390	70	6	u	u	PROPN
fumecheng-7390	70	7	a−	a−	PROPN
fumecheng-7390	70	8			PROPN
fumecheng-7390	70	9			PROPN
fumecheng-7390	70	10	,	,	PUNCT
fumecheng-7390	70	11	where	where	SCONJ
fumecheng-7390	70	12	we	we	PRON
fumecheng-7390	70	13	have	have	AUX
fumecheng-7390	70	14	excluded	exclude	VERB
fumecheng-7390	70	15	the	the	DET
fumecheng-7390	70	16	trivial	trivial	ADJ
fumecheng-7390	70	17	no	no	DET
fumecheng-7390	70	18	-	-	PUNCT
fumecheng-7390	70	19	contact	contact	NOUN
fumecheng-7390	70	20	case	case	NOUN
fumecheng-7390	70	21	.	.	PUNCT
fumecheng-7390	71	1	this	this	DET
fumecheng-7390	71	2	form	form	NOUN
fumecheng-7390	71	3	also	also	ADV
fumecheng-7390	71	4	makes	make	VERB
fumecheng-7390	71	5	evident	evident	ADJ
fumecheng-7390	71	6	the	the	DET
fumecheng-7390	71	7	need	need	NOUN
fumecheng-7390	71	8	for	for	ADP
fumecheng-7390	71	9	a	a	DET
fumecheng-7390	71	10	small	small	ADJ
fumecheng-7390	71	11	re	re	NOUN
fumecheng-7390	71	12	-	-	NOUN
fumecheng-7390	71	13	parametrization	parametrization	NOUN
fumecheng-7390	71	14	:	:	PUNCT
fumecheng-7390	71	15	1	1	NUM
fumecheng-7390	71	16	z	z	NOUN
fumecheng-7390	71	17	z	z	NOUN
fumecheng-7390	71	18	u	u	NOUN
fumecheng-7390	71	19	a	a	DET
fumecheng-7390	71	20			NUM
fumecheng-7390	71	21			NOUN
fumecheng-7390	71	22	=	=	SYM
fumecheng-7390	71	23	=	=	SYM
fumecheng-7390	71	24	(	(	PUNCT
fumecheng-7390	71	25	14	14	NUM
fumecheng-7390	71	26	)	)	PUNCT
fumecheng-7390	71	27	which	which	PRON
fumecheng-7390	71	28	avoids	avoid	VERB
fumecheng-7390	71	29	the	the	DET
fumecheng-7390	71	30	singularity	singularity	NOUN
fumecheng-7390	71	31	at	at	ADP
fumecheng-7390	71	32	0zu	0zu	NOUN
fumecheng-7390	71	33	=	=	PUNCT
fumecheng-7390	71	34	.	.	PUNCT
fumecheng-7390	72	1	the	the	DET
fumecheng-7390	72	2	first	first	ADJ
fumecheng-7390	72	3	thing	thing	NOUN
fumecheng-7390	72	4	to	to	PART
fumecheng-7390	72	5	note	note	VERB
fumecheng-7390	72	6	about	about	ADP
fumecheng-7390	72	7	the	the	DET
fumecheng-7390	72	8	jumping	jumping	NOUN
fumecheng-7390	72	9	case	case	NOUN
fumecheng-7390	72	10	is	be	AUX
fumecheng-7390	72	11	that	that	SCONJ
fumecheng-7390	72	12	the	the	DET
fumecheng-7390	72	13	static	static	ADJ
fumecheng-7390	72	14	coefficient	coefficient	NOUN
fumecheng-7390	72	15	of	of	ADP
fumecheng-7390	72	16	friction	friction	NOUN
fumecheng-7390	72	17	is	be	AUX
fumecheng-7390	72	18	always	always	ADV
fumecheng-7390	72	19	zero	zero	NUM
fumecheng-7390	72	20	,	,	PUNCT
fumecheng-7390	72	21	because	because	SCONJ
fumecheng-7390	72	22	the	the	DET
fumecheng-7390	72	23	contact	contact	NOUN
fumecheng-7390	72	24	obviously	obviously	ADV
fumecheng-7390	72	25	can	can	AUX
fumecheng-7390	72	26	not	not	PART
fumecheng-7390	72	27	sustain	sustain	VERB
fumecheng-7390	72	28	a	a	DET
fumecheng-7390	72	29	lateral	lateral	ADJ
fumecheng-7390	72	30	force	force	NOUN
fumecheng-7390	72	31	while	while	SCONJ
fumecheng-7390	72	32	it	it	PRON
fumecheng-7390	72	33	is	be	AUX
fumecheng-7390	72	34	“	"	PUNCT
fumecheng-7390	72	35	in	in	ADP
fumecheng-7390	72	36	the	the	DET
fumecheng-7390	72	37	air	air	NOUN
fumecheng-7390	72	38	”	"	PUNCT
fumecheng-7390	72	39	,	,	PUNCT
fumecheng-7390	72	40	and	and	CCONJ
fumecheng-7390	72	41	slow	slow	ADJ
fumecheng-7390	72	42	creep	creep	NOUN
fumecheng-7390	72	43	will	will	AUX
fumecheng-7390	72	44	therefore	therefore	ADV
fumecheng-7390	72	45	be	be	AUX
fumecheng-7390	72	46	present	present	ADJ
fumecheng-7390	72	47	at	at	ADP
fumecheng-7390	72	48	arbitrarily	arbitrarily	ADV
fumecheng-7390	72	49	small	small	ADJ
fumecheng-7390	72	50	pulling	pull	VERB
fumecheng-7390	72	51	forces	force	NOUN
fumecheng-7390	72	52	.	.	PUNCT
fumecheng-7390	73	1	if	if	SCONJ
fumecheng-7390	73	2	measurements	measurement	NOUN
fumecheng-7390	73	3	of	of	ADP
fumecheng-7390	73	4	the	the	DET
fumecheng-7390	73	5	static	static	ADJ
fumecheng-7390	73	6	coefficient	coefficient	NOUN
fumecheng-7390	73	7	of	of	ADP
fumecheng-7390	73	8	friction	friction	NOUN
fumecheng-7390	73	9	under	under	ADP
fumecheng-7390	73	10	normal	normal	ADJ
fumecheng-7390	73	11	oscillation	oscillation	NOUN
fumecheng-7390	73	12	do	do	AUX
fumecheng-7390	73	13	not	not	PART
fumecheng-7390	73	14	go	go	VERB
fumecheng-7390	73	15	to	to	ADP
fumecheng-7390	73	16	zero	zero	NUM
fumecheng-7390	73	17	at	at	ADP
fumecheng-7390	73	18	suitably	suitably	ADV
fumecheng-7390	73	19	large	large	ADJ
fumecheng-7390	73	20	amplitudes	amplitude	NOUN
fumecheng-7390	73	21	,	,	PUNCT
fumecheng-7390	73	22	this	this	PRON
fumecheng-7390	73	23	probably	probably	ADV
fumecheng-7390	73	24	indicates	indicate	VERB
fumecheng-7390	73	25	a	a	DET
fumecheng-7390	73	26	misalignment	misalignment	NOUN
fumecheng-7390	73	27	in	in	ADP
fumecheng-7390	73	28	the	the	DET
fumecheng-7390	73	29	measurement	measurement	NOUN
fumecheng-7390	73	30	apparatus	apparatus	NOUN
fumecheng-7390	73	31	.	.	PUNCT
fumecheng-7390	74	1	the	the	DET
fumecheng-7390	74	2	second	second	ADJ
fumecheng-7390	74	3	thing	thing	NOUN
fumecheng-7390	74	4	to	to	PART
fumecheng-7390	74	5	note	note	VERB
fumecheng-7390	74	6	is	be	AUX
fumecheng-7390	74	7	that	that	SCONJ
fumecheng-7390	74	8	,	,	PUNCT
fumecheng-7390	74	9	in	in	ADP
fumecheng-7390	74	10	general	general	ADJ
fumecheng-7390	74	11	,	,	PUNCT
fumecheng-7390	74	12	the	the	DET
fumecheng-7390	74	13	simplicity	simplicity	NOUN
fumecheng-7390	74	14	of	of	ADP
fumecheng-7390	74	15	eq	eq	PROPN
fumecheng-7390	74	16	.	.	PUNCT
fumecheng-7390	75	1	(	(	PUNCT
fumecheng-7390	75	2	13	13	NUM
fumecheng-7390	75	3	)	)	PUNCT
fumecheng-7390	75	4	can	can	AUX
fumecheng-7390	75	5	no	no	ADV
fumecheng-7390	75	6	longer	long	ADV
fumecheng-7390	75	7	be	be	AUX
fumecheng-7390	75	8	maintained	maintain	VERB
fumecheng-7390	75	9	.	.	PUNCT
fumecheng-7390	76	1	the	the	DET
fumecheng-7390	76	2	clean	clean	ADJ
fumecheng-7390	76	3	separation	separation	NOUN
fumecheng-7390	76	4	between	between	ADP
fumecheng-7390	76	5	α	α	PROPN
fumecheng-7390	76	6	and	and	CCONJ
fumecheng-7390	76	7	β	β	X
fumecheng-7390	76	8	is	be	AUX
fumecheng-7390	76	9	only	only	ADV
fumecheng-7390	76	10	possible	possible	ADJ
fumecheng-7390	76	11	because	because	SCONJ
fumecheng-7390	76	12	the	the	DET
fumecheng-7390	76	13	stick	stick	NOUN
fumecheng-7390	76	14	-	-	PUNCT
fumecheng-7390	76	15	slip	slip	NOUN
fumecheng-7390	76	16	process	process	NOUN
fumecheng-7390	76	17	is	be	AUX
fumecheng-7390	76	18	completely	completely	ADV
fumecheng-7390	76	19	independent	independent	ADJ
fumecheng-7390	76	20	of	of	ADP
fumecheng-7390	76	21	mean	mean	ADJ
fumecheng-7390	76	22	indentation	indentation	NOUN
fumecheng-7390	76	23	,	,	PUNCT
fumecheng-7390	76	24	so	so	ADV
fumecheng-7390	76	25	long	long	ADV
fumecheng-7390	76	26	as	as	SCONJ
fumecheng-7390	76	27	the	the	DET
fumecheng-7390	76	28	normal	normal	ADJ
fumecheng-7390	76	29	force	force	NOUN
fumecheng-7390	76	30	fz	fz	VERB
fumecheng-7390	76	31	is	be	AUX
fumecheng-7390	76	32	positive	positive	ADJ
fumecheng-7390	76	33	throughout	throughout	ADV
fumecheng-7390	76	34	.	.	PUNCT
fumecheng-7390	77	1	however	however	ADV
fumecheng-7390	77	2	,	,	PUNCT
fumecheng-7390	77	3	when	when	SCONJ
fumecheng-7390	77	4	uz(t	uz(t	NOUN
fumecheng-7390	77	5	)	)	PUNCT
fumecheng-7390	77	6	becomes	become	VERB
fumecheng-7390	77	7	negative	negative	ADJ
fumecheng-7390	77	8	in	in	ADP
fumecheng-7390	77	9	the	the	DET
fumecheng-7390	77	10	jumping	jumping	NOUN
fumecheng-7390	77	11	case	case	NOUN
fumecheng-7390	77	12	,	,	PUNCT
fumecheng-7390	77	13	this	this	DET
fumecheng-7390	77	14	causes	cause	VERB
fumecheng-7390	77	15	fz	fz	VERB
fumecheng-7390	77	16	to	to	PART
fumecheng-7390	77	17	become	become	AUX
fumecheng-7390	77	18	“	"	PUNCT
fumecheng-7390	77	19	clipped	clip	VERB
fumecheng-7390	77	20	”	"	PUNCT
fumecheng-7390	77	21	at	at	ADP
fumecheng-7390	77	22	zero	zero	NUM
fumecheng-7390	77	23	(	(	PUNCT
fumecheng-7390	77	24	assuming	assume	VERB
fumecheng-7390	77	25	no	no	DET
fumecheng-7390	77	26	adhesion	adhesion	NOUN
fumecheng-7390	77	27	)	)	PUNCT
fumecheng-7390	77	28	.	.	PUNCT
fumecheng-7390	78	1	this	this	PRON
fumecheng-7390	78	2	destroys	destroy	VERB
fumecheng-7390	78	3	the	the	DET
fumecheng-7390	78	4	invariance	invariance	NOUN
fumecheng-7390	78	5	w.r.t	w.r.t	VERB
fumecheng-7390	78	6	.	.	PUNCT
fumecheng-7390	79	1	zu	zu	NOUN
fumecheng-7390	79	2	,	,	PUNCT
fumecheng-7390	79	3	because	because	SCONJ
fumecheng-7390	79	4	the	the	DET
fumecheng-7390	79	5	waveform	waveform	NOUN
fumecheng-7390	79	6	w	w	ADP
fumecheng-7390	79	7	effectively	effectively	ADV
fumecheng-7390	79	8	becomes	becomes	AUX
fumecheng-7390	79	9	“	"	PUNCT
fumecheng-7390	79	10	cut	cut	VERB
fumecheng-7390	79	11	off	off	ADP
fumecheng-7390	79	12	”	"	PUNCT
fumecheng-7390	79	13	,	,	PUNCT
fumecheng-7390	79	14	and	and	CCONJ
fumecheng-7390	79	15	has	have	VERB
fumecheng-7390	79	16	to	to	PART
fumecheng-7390	79	17	be	be	AUX
fumecheng-7390	79	18	renormalized	renormalize	VERB
fumecheng-7390	79	19	to	to	PART
fumecheng-7390	79	20	maintain	maintain	VERB
fumecheng-7390	79	21	the	the	DET
fumecheng-7390	79	22	properties	property	NOUN
fumecheng-7390	79	23	of	of	ADP
fumecheng-7390	79	24	zero	zero	NUM
fumecheng-7390	79	25	mean	mean	NOUN
fumecheng-7390	79	26	and	and	CCONJ
fumecheng-7390	79	27	unit	unit	NOUN
fumecheng-7390	79	28	amplitude	amplitude	NOUN
fumecheng-7390	79	29	.	.	PUNCT
fumecheng-7390	80	1	thus	thus	ADV
fumecheng-7390	80	2	,	,	PUNCT
fumecheng-7390	80	3	w(φ	w(φ	PROPN
fumecheng-7390	80	4	)	)	PUNCT
fumecheng-7390	80	5	should	should	AUX
fumecheng-7390	80	6	properly	properly	ADV
fumecheng-7390	80	7	be	be	AUX
fumecheng-7390	80	8	w(γ	w(γ	PROPN
fumecheng-7390	80	9	,	,	PUNCT
fumecheng-7390	80	10	φ	φ	NUM
fumecheng-7390	80	11	)	)	PUNCT
fumecheng-7390	80	12	in	in	ADP
fumecheng-7390	80	13	the	the	DET
fumecheng-7390	80	14	jumping	jumping	NOUN
fumecheng-7390	80	15	case	case	NOUN
fumecheng-7390	80	16	.	.	PUNCT
fumecheng-7390	81	1	overall	overall	ADV
fumecheng-7390	81	2	,	,	PUNCT
fumecheng-7390	81	3	this	this	PRON
fumecheng-7390	81	4	leads	lead	VERB
fumecheng-7390	81	5	us	we	PRON
fumecheng-7390	81	6	to	to	PART
fumecheng-7390	81	7	expect	expect	VERB
fumecheng-7390	81	8	the	the	DET
fumecheng-7390	81	9	coefficient	coefficient	NOUN
fumecheng-7390	81	10	of	of	ADP
fumecheng-7390	81	11	friction	friction	NOUN
fumecheng-7390	81	12	to	to	PART
fumecheng-7390	81	13	be	be	AUX
fumecheng-7390	81	14	a	a	DET
fumecheng-7390	81	15	nonlinear	nonlinear	ADJ
fumecheng-7390	81	16	function	function	NOUN
fumecheng-7390	81	17	of	of	ADP
fumecheng-7390	81	18	two	two	NUM
fumecheng-7390	81	19	parameters	parameter	NOUN
fumecheng-7390	81	20	(	(	PUNCT
fumecheng-7390	81	21	in	in	ADP
fumecheng-7390	81	22	addition	addition	NOUN
fumecheng-7390	81	23	to	to	ADP
fumecheng-7390	81	24	the	the	DET
fumecheng-7390	81	25	waveform	waveform	NOUN
fumecheng-7390	81	26	dependence	dependence	NOUN
fumecheng-7390	81	27	):	):	PUNCT
fumecheng-7390	81	28	jmp	jmp	PROPN
fumecheng-7390	81	29	0	0	PROPN
fumecheng-7390	81	30	(	(	PUNCT
fumecheng-7390	81	31	,	,	PUNCT
fumecheng-7390	81	32	)	)	PUNCT
fumecheng-7390	81	33	wg	wg	NOUN
fumecheng-7390	81	34			NOUN
fumecheng-7390	81	35			NOUN
fumecheng-7390	81	36	=	=	NOUN
fumecheng-7390	81	37	(	(	PUNCT
fumecheng-7390	81	38	15	15	NUM
fumecheng-7390	81	39	)	)	PUNCT
fumecheng-7390	81	40	in	in	ADP
fumecheng-7390	81	41	general	general	ADJ
fumecheng-7390	81	42	,	,	PUNCT
fumecheng-7390	81	43	the	the	DET
fumecheng-7390	81	44	function	function	NOUN
fumecheng-7390	81	45	g	g	PROPN
fumecheng-7390	81	46	needs	need	VERB
fumecheng-7390	81	47	to	to	PART
fumecheng-7390	81	48	be	be	AUX
fumecheng-7390	81	49	computed	compute	VERB
fumecheng-7390	81	50	numerically	numerically	ADV
fumecheng-7390	81	51	.	.	PUNCT
fumecheng-7390	82	1	there	there	PRON
fumecheng-7390	82	2	are	be	VERB
fumecheng-7390	82	3	,	,	PUNCT
fumecheng-7390	82	4	however	however	ADV
fumecheng-7390	82	5	,	,	PUNCT
fumecheng-7390	82	6	a	a	DET
fumecheng-7390	82	7	few	few	ADJ
fumecheng-7390	82	8	cases	case	NOUN
fumecheng-7390	82	9	of	of	ADP
fumecheng-7390	82	10	some	some	DET
fumecheng-7390	82	11	practical	practical	ADJ
fumecheng-7390	82	12	importance	importance	NOUN
fumecheng-7390	82	13	that	that	PRON
fumecheng-7390	82	14	can	can	AUX
fumecheng-7390	82	15	be	be	AUX
fumecheng-7390	82	16	treated	treat	VERB
fumecheng-7390	82	17	analytically	analytically	ADV
fumecheng-7390	82	18	.	.	PUNCT
fumecheng-7390	83	1	these	these	PRON
fumecheng-7390	83	2	include	include	VERB
fumecheng-7390	83	3	square	square	ADJ
fumecheng-7390	83	4	and	and	CCONJ
fumecheng-7390	83	5	triangle	triangle	NOUN
fumecheng-7390	83	6	waves	wave	NOUN
fumecheng-7390	83	7	,	,	PUNCT
fumecheng-7390	83	8	for	for	ADP
fumecheng-7390	83	9	which	which	PRON
fumecheng-7390	83	10	solutions	solution	NOUN
fumecheng-7390	83	11	can	can	AUX
fumecheng-7390	83	12	be	be	AUX
fumecheng-7390	83	13	obtained	obtain	VERB
fumecheng-7390	83	14	in	in	ADP
fumecheng-7390	83	15	closed	closed	ADJ
fumecheng-7390	83	16	form	form	NOUN
fumecheng-7390	83	17	due	due	ADP
fumecheng-7390	83	18	to	to	ADP
fumecheng-7390	83	19	their	their	PRON
fumecheng-7390	83	20	simplicity	simplicity	NOUN
fumecheng-7390	83	21	;	;	PUNCT
fumecheng-7390	83	22	and	and	CCONJ
fumecheng-7390	83	23	certain	certain	ADJ
fumecheng-7390	83	24	self	self	NOUN
fumecheng-7390	83	25	-	-	PUNCT
fumecheng-7390	83	26	similar	similar	ADJ
fumecheng-7390	83	27	oscillations	oscillation	NOUN
fumecheng-7390	83	28	,	,	PUNCT
fumecheng-7390	83	29	for	for	ADP
fumecheng-7390	83	30	which	which	PRON
fumecheng-7390	83	31	asymptotic	asymptotic	ADJ
fumecheng-7390	83	32	behavior	behavior	NOUN
fumecheng-7390	83	33	can	can	AUX
fumecheng-7390	83	34	be	be	AUX
fumecheng-7390	83	35	deduced	deduce	VERB
fumecheng-7390	83	36	.	.	PUNCT
fumecheng-7390	84	1	these	these	DET
fumecheng-7390	84	2	cases	case	NOUN
fumecheng-7390	84	3	are	be	AUX
fumecheng-7390	84	4	considered	consider	VERB
fumecheng-7390	84	5	next	next	ADV
fumecheng-7390	84	6	.	.	PUNCT
fumecheng-7390	85	1	3.1	3.1	NUM
fumecheng-7390	85	2	.	.	PUNCT
fumecheng-7390	85	3	special	special	ADJ
fumecheng-7390	85	4	case	case	NOUN
fumecheng-7390	85	5	1	1	NUM
fumecheng-7390	85	6	:	:	PUNCT
fumecheng-7390	85	7	sawtooth	sawtooth	NOUN
fumecheng-7390	85	8	and	and	CCONJ
fumecheng-7390	85	9	triangle	triangle	NOUN
fumecheng-7390	85	10	wave	wave	NOUN
fumecheng-7390	85	11	of	of	ADP
fumecheng-7390	85	12	the	the	DET
fumecheng-7390	85	13	possible	possible	ADJ
fumecheng-7390	85	14	waveforms	waveform	NOUN
fumecheng-7390	85	15	with	with	ADP
fumecheng-7390	85	16	triangular	triangular	NOUN
fumecheng-7390	85	17	shape	shape	NOUN
fumecheng-7390	85	18	,	,	PUNCT
fumecheng-7390	85	19	here	here	ADV
fumecheng-7390	85	20	we	we	PRON
fumecheng-7390	85	21	consider	consider	VERB
fumecheng-7390	85	22	the	the	DET
fumecheng-7390	85	23	left	left	ADV
fumecheng-7390	85	24	-	-	PUNCT
fumecheng-7390	85	25	leaning	lean	VERB
fumecheng-7390	85	26	sawtooth	sawtooth	NOUN
fumecheng-7390	85	27	function	function	NOUN
fumecheng-7390	85	28	(	(	PUNCT
fumecheng-7390	85	29	stl	stl	PROPN
fumecheng-7390	85	30	)	)	PUNCT
fumecheng-7390	85	31	,	,	PUNCT
fumecheng-7390	85	32	the	the	DET
fumecheng-7390	85	33	right	right	ADV
fumecheng-7390	85	34	-	-	PUNCT
fumecheng-7390	85	35	leaning	lean	VERB
fumecheng-7390	85	36	sawtooth	sawtooth	NOUN
fumecheng-7390	85	37	function	function	NOUN
fumecheng-7390	85	38	(	(	PUNCT
fumecheng-7390	85	39	str	str	NOUN
fumecheng-7390	85	40	)	)	PUNCT
fumecheng-7390	85	41	and	and	CCONJ
fumecheng-7390	85	42	the	the	DET
fumecheng-7390	85	43	symmetric	symmetric	ADJ
fumecheng-7390	85	44	triangle	triangle	NOUN
fumecheng-7390	85	45	wave	wave	NOUN
fumecheng-7390	85	46	(	(	PUNCT
fumecheng-7390	85	47	tri	tri	NOUN
fumecheng-7390	85	48	)	)	PUNCT
fumecheng-7390	85	49	.	.	PUNCT
fumecheng-7390	86	1	the	the	DET
fumecheng-7390	86	2	normalized	normalize	VERB
fumecheng-7390	86	3	functions	function	NOUN
fumecheng-7390	86	4	w	w	VERB
fumecheng-7390	86	5	for	for	ADP
fumecheng-7390	86	6	these	these	DET
fumecheng-7390	86	7	waveforms	waveform	NOUN
fumecheng-7390	86	8	can	can	AUX
fumecheng-7390	86	9	be	be	AUX
fumecheng-7390	86	10	defined	define	VERB
fumecheng-7390	86	11	on	on	ADP
fumecheng-7390	86	12	the	the	DET
fumecheng-7390	86	13	unit	unit	NOUN
fumecheng-7390	86	14	interval	interval	NOUN
fumecheng-7390	86	15	(	(	PUNCT
fumecheng-7390	86	16	with	with	SCONJ
fumecheng-7390	86	17	periodic	periodic	ADJ
fumecheng-7390	86	18	extension	extension	NOUN
fumecheng-7390	86	19	understood	understand	VERB
fumecheng-7390	86	20	)	)	PUNCT
fumecheng-7390	87	1	as	as	ADP
fumecheng-7390	87	2	:	:	PUNCT
fumecheng-7390	87	3	stl	stl	PROPN
fumecheng-7390	87	4	str	str	PROPN
fumecheng-7390	87	5	tri	tri	PROPN
fumecheng-7390	87	6	1	1	NUM
fumecheng-7390	87	7	2	2	NUM
fumecheng-7390	87	8	2	2	NUM
fumecheng-7390	87	9	1	1	NUM
fumecheng-7390	87	10	4	4	NUM
fumecheng-7390	87	11	1	1	NUM
fumecheng-7390	87	12	,	,	PUNCT
fumecheng-7390	87	13	1/	1/	NUM
fumecheng-7390	87	14	2	2	NUM
fumecheng-7390	87	15	3	3	NUM
fumecheng-7390	87	16	4	4	NUM
fumecheng-7390	87	17	,	,	PUNCT
fumecheng-7390	87	18	1/	1/	NUM
fumecheng-7390	87	19	2	2	NUM
fumecheng-7390	87	20	w	w	NOUN
fumecheng-7390	87	21	w	w	PROPN
fumecheng-7390	87	22	w	w	ADP
fumecheng-7390	87	23			ADJ
fumecheng-7390	87	24			ADJ
fumecheng-7390	87	25			ADJ
fumecheng-7390	87	26			ADJ
fumecheng-7390	87	27			ADJ
fumecheng-7390	87	28			PROPN
fumecheng-7390	87	29	=	=	SYM
fumecheng-7390	87	30	−	−	PROPN
fumecheng-7390	87	31	=	=	PUNCT
fumecheng-7390	87	32	−	−	PROPN
fumecheng-7390	87	33	−	−	NOUN
fumecheng-7390	87	34			NOUN
fumecheng-7390	87	35	=	=	SYM
fumecheng-7390	87	36			NUM
fumecheng-7390	87	37	−	−	PROPN
fumecheng-7390	87	38			PROPN
fumecheng-7390	87	39	(	(	PUNCT
fumecheng-7390	87	40	16	16	NUM
fumecheng-7390	87	41	)	)	PUNCT
fumecheng-7390	87	42	110	110	NUM
fumecheng-7390	87	43	m.	m.	NOUN
fumecheng-7390	87	44	popov	popov	NOUN
fumecheng-7390	87	45	from	from	ADP
fumecheng-7390	87	46	geometrical	geometrical	ADJ
fumecheng-7390	87	47	considerations	consideration	NOUN
fumecheng-7390	87	48	(	(	PUNCT
fumecheng-7390	87	49	which	which	PRON
fumecheng-7390	87	50	come	come	VERB
fumecheng-7390	87	51	down	down	ADP
fumecheng-7390	87	52	to	to	ADP
fumecheng-7390	87	53	determining	determine	VERB
fumecheng-7390	87	54	the	the	DET
fumecheng-7390	87	55	area	area	NOUN
fumecheng-7390	87	56	between	between	ADP
fumecheng-7390	87	57	the	the	DET
fumecheng-7390	87	58	waveform	waveform	NOUN
fumecheng-7390	87	59	and	and	CCONJ
fumecheng-7390	87	60	a	a	DET
fumecheng-7390	87	61	straight	straight	ADJ
fumecheng-7390	87	62	line	line	NOUN
fumecheng-7390	87	63	with	with	ADP
fumecheng-7390	87	64	the	the	DET
fumecheng-7390	87	65	slope	slope	NOUN
fumecheng-7390	87	66	β	β	NOUN
fumecheng-7390	87	67	as	as	ADP
fumecheng-7390	87	68	in	in	ADP
fumecheng-7390	87	69	fig	fig	NOUN
fumecheng-7390	87	70	.	.	PUNCT
fumecheng-7390	88	1	2	2	NUM
fumecheng-7390	88	2	)	)	PUNCT
fumecheng-7390	88	3	,	,	PUNCT
fumecheng-7390	88	4	it	it	PRON
fumecheng-7390	88	5	is	be	AUX
fumecheng-7390	88	6	easy	easy	ADJ
fumecheng-7390	88	7	to	to	PART
fumecheng-7390	88	8	show	show	VERB
fumecheng-7390	88	9	that	that	SCONJ
fumecheng-7390	88	10	the	the	DET
fumecheng-7390	88	11	corresponding	correspond	VERB
fumecheng-7390	88	12	reduction	reduction	NOUN
fumecheng-7390	88	13	functions	function	NOUN
fumecheng-7390	88	14	ψw(β	ψw(β	PUNCT
fumecheng-7390	88	15	)	)	PUNCT
fumecheng-7390	88	16	in	in	ADP
fumecheng-7390	88	17	the	the	DET
fumecheng-7390	88	18	simple	simple	ADJ
fumecheng-7390	88	19	non	non	ADJ
fumecheng-7390	88	20	-	-	ADJ
fumecheng-7390	88	21	jumping	jumping	ADJ
fumecheng-7390	88	22	case	case	NOUN
fumecheng-7390	88	23	are	be	AUX
fumecheng-7390	88	24	given	give	VERB
fumecheng-7390	88	25	by	by	ADP
fumecheng-7390	88	26	:	:	PUNCT
fumecheng-7390	88	27	str	str	NOUN
fumecheng-7390	88	28	stl	stl	PROPN
fumecheng-7390	88	29	2	2	NUM
fumecheng-7390	88	30	4	4	NUM
fumecheng-7390	88	31	(	(	PUNCT
fumecheng-7390	88	32	)	)	PUNCT
fumecheng-7390	88	33	1	1	NUM
fumecheng-7390	88	34	,	,	PUNCT
fumecheng-7390	88	35	(	(	PUNCT
fumecheng-7390	88	36	)	)	PUNCT
fumecheng-7390	88	37	,	,	PUNCT
fumecheng-7390	88	38	(	(	PUNCT
fumecheng-7390	88	39	)	)	PUNCT
fumecheng-7390	88	40	2	2	NUM
fumecheng-7390	88	41	2	2	NUM
fumecheng-7390	88	42	4	4	NUM
fumecheng-7390	88	43	tri	tri	ADJ
fumecheng-7390	88	44			PROPN
fumecheng-7390	88	45			PROPN
fumecheng-7390	88	46			PROPN
fumecheng-7390	88	47			PROPN
fumecheng-7390	88	48			PROPN
fumecheng-7390	88	49			PROPN
fumecheng-7390	88	50			NOUN
fumecheng-7390	88	51	−	−	PROPN
fumecheng-7390	88	52			PROPN
fumecheng-7390	88	53	=	=	PUNCT
fumecheng-7390	89	1	−	−	PROPN
fumecheng-7390	90	1			PROPN
fumecheng-7390	90	2	=	=	PUNCT
fumecheng-7390	90	3			PROPN
fumecheng-7390	90	4	=	=	PUNCT
fumecheng-7390	91	1	+	+	PUNCT
fumecheng-7390	91	2	+	+	CCONJ
fumecheng-7390	91	3	(	(	PUNCT
fumecheng-7390	91	4	17	17	NUM
fumecheng-7390	91	5	)	)	PUNCT
fumecheng-7390	91	6	the	the	DET
fumecheng-7390	91	7	triangular	triangular	NOUN
fumecheng-7390	91	8	waves	wave	NOUN
fumecheng-7390	91	9	have	have	VERB
fumecheng-7390	91	10	the	the	DET
fumecheng-7390	91	11	unique	unique	ADJ
fumecheng-7390	91	12	property	property	NOUN
fumecheng-7390	91	13	that	that	PRON
fumecheng-7390	91	14	clipping	clip	VERB
fumecheng-7390	91	15	the	the	DET
fumecheng-7390	91	16	waveform	waveform	NOUN
fumecheng-7390	91	17	does	do	AUX
fumecheng-7390	91	18	not	not	PART
fumecheng-7390	91	19	affect	affect	VERB
fumecheng-7390	91	20	the	the	DET
fumecheng-7390	91	21	coefficient	coefficient	NOUN
fumecheng-7390	91	22	of	of	ADP
fumecheng-7390	91	23	friction	friction	NOUN
fumecheng-7390	91	24	.	.	PUNCT
fumecheng-7390	92	1	to	to	PART
fumecheng-7390	92	2	appreciate	appreciate	VERB
fumecheng-7390	92	3	this	this	PRON
fumecheng-7390	92	4	,	,	PUNCT
fumecheng-7390	92	5	refer	refer	VERB
fumecheng-7390	92	6	once	once	ADV
fumecheng-7390	92	7	again	again	ADV
fumecheng-7390	92	8	to	to	PART
fumecheng-7390	92	9	fig	fig	VERB
fumecheng-7390	92	10	.	.	PUNCT
fumecheng-7390	93	1	2	2	X
fumecheng-7390	93	2	.	.	X
fumecheng-7390	93	3	the	the	DET
fumecheng-7390	93	4	coefficient	coefficient	NOUN
fumecheng-7390	93	5	of	of	ADP
fumecheng-7390	93	6	friction	friction	NOUN
fumecheng-7390	93	7	is	be	AUX
fumecheng-7390	93	8	given	give	VERB
fumecheng-7390	93	9	by	by	ADP
fumecheng-7390	93	10	the	the	DET
fumecheng-7390	93	11	ratio	ratio	NOUN
fumecheng-7390	93	12	of	of	ADP
fumecheng-7390	93	13	the	the	DET
fumecheng-7390	93	14	area	area	NOUN
fumecheng-7390	93	15	under	under	ADP
fumecheng-7390	93	16	fx	fx	NOUN
fumecheng-7390	93	17	to	to	ADP
fumecheng-7390	93	18	the	the	DET
fumecheng-7390	93	19	area	area	NOUN
fumecheng-7390	93	20	under	under	ADP
fumecheng-7390	93	21	µ0fz	µ0fz	PUNCT
fumecheng-7390	93	22	.	.	PUNCT
fumecheng-7390	94	1	this	this	DET
fumecheng-7390	94	2	ratio	ratio	NOUN
fumecheng-7390	94	3	changes	change	VERB
fumecheng-7390	94	4	continuously	continuously	ADV
fumecheng-7390	94	5	as	as	SCONJ
fumecheng-7390	94	6	the	the	DET
fumecheng-7390	94	7	waveform	waveform	NOUN
fumecheng-7390	94	8	is	be	AUX
fumecheng-7390	94	9	clipped	clip	VERB
fumecheng-7390	94	10	from	from	ADP
fumecheng-7390	94	11	below	below	ADV
fumecheng-7390	94	12	by	by	ADP
fumecheng-7390	94	13	increasingly	increasingly	ADV
fumecheng-7390	94	14	large	large	ADJ
fumecheng-7390	94	15	amplitudes	amplitude	NOUN
fumecheng-7390	94	16	.	.	PUNCT
fumecheng-7390	95	1	if	if	SCONJ
fumecheng-7390	95	2	the	the	DET
fumecheng-7390	95	3	waveform	waveform	NOUN
fumecheng-7390	95	4	is	be	AUX
fumecheng-7390	95	5	triangular	triangular	ADJ
fumecheng-7390	95	6	,	,	PUNCT
fumecheng-7390	95	7	however	however	ADV
fumecheng-7390	95	8	,	,	PUNCT
fumecheng-7390	95	9	then	then	ADV
fumecheng-7390	95	10	the	the	DET
fumecheng-7390	95	11	only	only	ADJ
fumecheng-7390	95	12	effect	effect	NOUN
fumecheng-7390	95	13	from	from	ADP
fumecheng-7390	95	14	the	the	DET
fumecheng-7390	95	15	cutoff	cutoff	NOUN
fumecheng-7390	95	16	is	be	AUX
fumecheng-7390	95	17	that	that	SCONJ
fumecheng-7390	95	18	the	the	DET
fumecheng-7390	95	19	ramp	ramp	NOUN
fumecheng-7390	95	20	of	of	ADP
fumecheng-7390	95	21	the	the	DET
fumecheng-7390	95	22	stick	stick	NOUN
fumecheng-7390	95	23	phase	phase	NOUN
fumecheng-7390	95	24	starts	start	VERB
fumecheng-7390	95	25	later	later	ADV
fumecheng-7390	95	26	and	and	CCONJ
fumecheng-7390	95	27	later	later	ADV
fumecheng-7390	95	28	(	(	PUNCT
fumecheng-7390	95	29	in	in	ADP
fumecheng-7390	95	30	the	the	DET
fumecheng-7390	95	31	point	point	NOUN
fumecheng-7390	95	32	of	of	ADP
fumecheng-7390	95	33	first	first	ADJ
fumecheng-7390	95	34	contact	contact	NOUN
fumecheng-7390	95	35	)	)	PUNCT
fumecheng-7390	95	36	.	.	PUNCT
fumecheng-7390	96	1	the	the	DET
fumecheng-7390	96	2	area	area	NOUN
fumecheng-7390	96	3	ratio	ratio	NOUN
fumecheng-7390	96	4	is	be	AUX
fumecheng-7390	96	5	not	not	PART
fumecheng-7390	96	6	affected	affect	VERB
fumecheng-7390	96	7	,	,	PUNCT
fumecheng-7390	96	8	which	which	PRON
fumecheng-7390	96	9	means	mean	VERB
fumecheng-7390	96	10	that	that	SCONJ
fumecheng-7390	96	11	the	the	DET
fumecheng-7390	96	12	coefficient	coefficient	NOUN
fumecheng-7390	96	13	of	of	ADP
fumecheng-7390	96	14	friction	friction	NOUN
fumecheng-7390	96	15	remains	remain	VERB
fumecheng-7390	96	16	constant	constant	ADJ
fumecheng-7390	96	17	,	,	PUNCT
fumecheng-7390	96	18	despite	despite	SCONJ
fumecheng-7390	96	19	the	the	DET
fumecheng-7390	96	20	fact	fact	NOUN
fumecheng-7390	96	21	that	that	SCONJ
fumecheng-7390	96	22	ψw	ψw	AUX
fumecheng-7390	96	23	formally	formally	ADV
fumecheng-7390	96	24	depends	depend	VERB
fumecheng-7390	96	25	on	on	ADP
fumecheng-7390	96	26	γ	γ	PROPN
fumecheng-7390	96	27	.	.	PUNCT
fumecheng-7390	97	1	this	this	PRON
fumecheng-7390	97	2	means	mean	VERB
fumecheng-7390	97	3	that	that	SCONJ
fumecheng-7390	97	4	,	,	PUNCT
fumecheng-7390	97	5	for	for	ADP
fumecheng-7390	97	6	triangular	triangular	NOUN
fumecheng-7390	97	7	waves	wave	NOUN
fumecheng-7390	97	8	,	,	PUNCT
fumecheng-7390	97	9	0	0	NUM
fumecheng-7390	97	10	(	(	PUNCT
fumecheng-7390	97	11	,	,	PUNCT
fumecheng-7390	97	12	1	1	X
fumecheng-7390	97	13	)	)	PUNCT
fumecheng-7390	97	14	(	(	PUNCT
fumecheng-7390	97	15	,	,	PUNCT
fumecheng-7390	97	16	1	1	X
fumecheng-7390	97	17	)	)	PUNCT
fumecheng-7390	97	18	(	(	PUNCT
fumecheng-7390	97	19	1	1	NUM
fumecheng-7390	97	20	(	(	PUNCT
fumecheng-7390	97	21	)	)	PUNCT
fumecheng-7390	97	22	)	)	PUNCT
fumecheng-7390	97	23	w	w	NUM
fumecheng-7390	97	24			PROPN
fumecheng-7390	97	25			NUM
fumecheng-7390	97	26			NOUN
fumecheng-7390	97	27			NOUN
fumecheng-7390	97	28			NUM
fumecheng-7390	97	29			NOUN
fumecheng-7390	97	30			NOUN
fumecheng-7390	97	31	=	=	PUNCT
fumecheng-7390	98	1	=	=	SYM
fumecheng-7390	98	2	=	=	SYM
fumecheng-7390	98	3	−	−	X
fumecheng-7390	98	4	(	(	PUNCT
fumecheng-7390	98	5	18	18	NUM
fumecheng-7390	98	6	)	)	PUNCT
fumecheng-7390	98	7	using	use	VERB
fumecheng-7390	98	8	the	the	DET
fumecheng-7390	98	9	reduction	reduction	NOUN
fumecheng-7390	98	10	functions	function	NOUN
fumecheng-7390	98	11	given	give	VERB
fumecheng-7390	98	12	in	in	ADP
fumecheng-7390	98	13	eq	eq	ADP
fumecheng-7390	98	14	.	.	PUNCT
fumecheng-7390	98	15	(	(	PUNCT
fumecheng-7390	98	16	17	17	NUM
fumecheng-7390	98	17	)	)	PUNCT
fumecheng-7390	98	18	,	,	PUNCT
fumecheng-7390	98	19	this	this	PRON
fumecheng-7390	98	20	provides	provide	VERB
fumecheng-7390	98	21	the	the	DET
fumecheng-7390	98	22	following	follow	VERB
fumecheng-7390	98	23	simple	simple	ADJ
fumecheng-7390	98	24	results	result	NOUN
fumecheng-7390	98	25	for	for	ADP
fumecheng-7390	98	26	the	the	DET
fumecheng-7390	98	27	coefficient	coefficient	NOUN
fumecheng-7390	98	28	of	of	ADP
fumecheng-7390	98	29	friction	friction	NOUN
fumecheng-7390	98	30	under	under	ADP
fumecheng-7390	98	31	large	large	ADJ
fumecheng-7390	98	32	-	-	PUNCT
fumecheng-7390	98	33	amplitude	amplitude	NOUN
fumecheng-7390	98	34	oscillation	oscillation	NOUN
fumecheng-7390	98	35	:	:	PUNCT
fumecheng-7390	98	36	str	str	NOUN
fumecheng-7390	98	37	0	0	NUM
fumecheng-7390	98	38	stl	stl	PROPN
fumecheng-7390	98	39	0	0	NUM
fumecheng-7390	98	40	0	0	NUM
fumecheng-7390	98	41	2	2	NUM
fumecheng-7390	98	42	(	(	PUNCT
fumecheng-7390	98	43	)	)	PUNCT
fumecheng-7390	98	44	,	,	PUNCT
fumecheng-7390	98	45	(	(	PUNCT
fumecheng-7390	98	46	)	)	PUNCT
fumecheng-7390	98	47	,	,	PUNCT
fumecheng-7390	98	48	(	(	PUNCT
fumecheng-7390	98	49	)	)	PUNCT
fumecheng-7390	98	50	2	2	NUM
fumecheng-7390	98	51	2	2	NUM
fumecheng-7390	98	52	4	4	NUM
fumecheng-7390	98	53	tri	tri	ADJ
fumecheng-7390	98	54			PROPN
fumecheng-7390	98	55			NOUN
fumecheng-7390	98	56			PROPN
fumecheng-7390	98	57			NOUN
fumecheng-7390	98	58			NOUN
fumecheng-7390	98	59			NOUN
fumecheng-7390	98	60			NOUN
fumecheng-7390	98	61			NOUN
fumecheng-7390	98	62			NOUN
fumecheng-7390	98	63			NOUN
fumecheng-7390	98	64			NOUN
fumecheng-7390	98	65			NOUN
fumecheng-7390	98	66			NOUN
fumecheng-7390	98	67			NOUN
fumecheng-7390	98	68	=	=	PUNCT
fumecheng-7390	98	69	=	=	PUNCT
fumecheng-7390	98	70	=	=	PUNCT
fumecheng-7390	99	1	+	+	PUNCT
fumecheng-7390	99	2	+	+	CCONJ
fumecheng-7390	99	3	(	(	PUNCT
fumecheng-7390	99	4	19	19	NUM
fumecheng-7390	99	5	)	)	PUNCT
fumecheng-7390	99	6	3.2	3.2	NUM
fumecheng-7390	99	7	.	.	PUNCT
fumecheng-7390	100	1	special	special	ADJ
fumecheng-7390	100	2	case	case	NOUN
fumecheng-7390	100	3	2	2	NUM
fumecheng-7390	100	4	:	:	PUNCT
fumecheng-7390	100	5	self	self	NOUN
fumecheng-7390	100	6	-	-	PUNCT
fumecheng-7390	100	7	similar	similar	ADJ
fumecheng-7390	100	8	waveforms	waveform	NOUN
fumecheng-7390	100	9	,	,	PUNCT
fumecheng-7390	100	10	square	square	ADJ
fumecheng-7390	100	11	wave	wave	NOUN
fumecheng-7390	100	12	the	the	DET
fumecheng-7390	100	13	triangular	triangular	NOUN
fumecheng-7390	100	14	waves	wave	NOUN
fumecheng-7390	100	15	are	be	AUX
fumecheng-7390	100	16	a	a	DET
fumecheng-7390	100	17	special	special	ADJ
fumecheng-7390	100	18	case	case	NOUN
fumecheng-7390	100	19	of	of	ADP
fumecheng-7390	100	20	what	what	PRON
fumecheng-7390	100	21	could	could	AUX
fumecheng-7390	100	22	be	be	AUX
fumecheng-7390	100	23	termed	term	VERB
fumecheng-7390	100	24	self	self	NOUN
fumecheng-7390	100	25	-	-	PUNCT
fumecheng-7390	100	26	similar	similar	ADJ
fumecheng-7390	100	27	waveforms	waveform	NOUN
fumecheng-7390	100	28	.	.	PUNCT
fumecheng-7390	101	1	by	by	ADP
fumecheng-7390	101	2	this	this	PRON
fumecheng-7390	101	3	we	we	PRON
fumecheng-7390	101	4	mean	mean	VERB
fumecheng-7390	101	5	that	that	SCONJ
fumecheng-7390	101	6	a	a	DET
fumecheng-7390	101	7	cut	cut	VERB
fumecheng-7390	101	8	-	-	PUNCT
fumecheng-7390	101	9	off	off	ADP
fumecheng-7390	101	10	waveform	waveform	NOUN
fumecheng-7390	101	11	can	can	AUX
fumecheng-7390	101	12	be	be	AUX
fumecheng-7390	101	13	rescaled	rescale	VERB
fumecheng-7390	101	14	in	in	ADP
fumecheng-7390	101	15	such	such	DET
fumecheng-7390	101	16	a	a	DET
fumecheng-7390	101	17	fashion	fashion	NOUN
fumecheng-7390	101	18	as	as	SCONJ
fumecheng-7390	101	19	to	to	PART
fumecheng-7390	101	20	be	be	AUX
fumecheng-7390	101	21	identical	identical	ADJ
fumecheng-7390	101	22	to	to	ADP
fumecheng-7390	101	23	the	the	DET
fumecheng-7390	101	24	original	original	ADJ
fumecheng-7390	101	25	waveform	waveform	NOUN
fumecheng-7390	101	26	.	.	PUNCT
fumecheng-7390	102	1	assuming	assume	VERB
fumecheng-7390	102	2	that	that	SCONJ
fumecheng-7390	102	3	the	the	DET
fumecheng-7390	102	4	waveform	waveform	NOUN
fumecheng-7390	102	5	is	be	AUX
fumecheng-7390	102	6	also	also	ADV
fumecheng-7390	102	7	convex	convex	ADJ
fumecheng-7390	102	8	ensures	ensure	NOUN
fumecheng-7390	102	9	that	that	SCONJ
fumecheng-7390	102	10	stick	stick	NOUN
fumecheng-7390	102	11	is	be	AUX
fumecheng-7390	102	12	precipitated	precipitate	VERB
fumecheng-7390	102	13	in	in	ADP
fumecheng-7390	102	14	the	the	DET
fumecheng-7390	102	15	point	point	NOUN
fumecheng-7390	102	16	of	of	ADP
fumecheng-7390	102	17	first	first	ADJ
fumecheng-7390	102	18	contact	contact	NOUN
fumecheng-7390	102	19	,	,	PUNCT
fumecheng-7390	102	20	as	as	ADP
fumecheng-7390	102	21	in	in	ADP
fumecheng-7390	102	22	the	the	DET
fumecheng-7390	102	23	case	case	NOUN
fumecheng-7390	102	24	of	of	ADP
fumecheng-7390	102	25	the	the	DET
fumecheng-7390	102	26	triangular	triangular	NOUN
fumecheng-7390	102	27	wave	wave	NOUN
fumecheng-7390	102	28	.	.	PUNCT
fumecheng-7390	103	1	this	this	PRON
fumecheng-7390	103	2	means	mean	VERB
fumecheng-7390	103	3	that	that	SCONJ
fumecheng-7390	103	4	the	the	DET
fumecheng-7390	103	5	stick	stick	NOUN
fumecheng-7390	103	6	-	-	PUNCT
fumecheng-7390	103	7	slip	slip	NOUN
fumecheng-7390	103	8	graph	graph	NOUN
fumecheng-7390	103	9	of	of	ADP
fumecheng-7390	103	10	a	a	DET
fumecheng-7390	103	11	cut	cut	VERB
fumecheng-7390	103	12	-	-	PUNCT
fumecheng-7390	103	13	off	off	ADP
fumecheng-7390	103	14	waveform	waveform	NOUN
fumecheng-7390	103	15	can	can	AUX
fumecheng-7390	103	16	be	be	AUX
fumecheng-7390	103	17	rescaled	rescale	VERB
fumecheng-7390	103	18	(	(	PUNCT
fumecheng-7390	103	19	together	together	ADV
fumecheng-7390	103	20	with	with	ADP
fumecheng-7390	103	21	the	the	DET
fumecheng-7390	103	22	stick	stick	NOUN
fumecheng-7390	103	23	ramp	ramp	NOUN
fumecheng-7390	103	24	)	)	PUNCT
fumecheng-7390	103	25	to	to	PART
fumecheng-7390	103	26	have	have	VERB
fumecheng-7390	103	27	the	the	DET
fumecheng-7390	103	28	same	same	ADJ
fumecheng-7390	103	29	area	area	NOUN
fumecheng-7390	103	30	ratio	ratio	NOUN
fumecheng-7390	103	31	–	–	PUNCT
fumecheng-7390	103	32	and	and	CCONJ
fumecheng-7390	103	33	therefore	therefore	ADV
fumecheng-7390	103	34	the	the	DET
fumecheng-7390	103	35	same	same	ADJ
fumecheng-7390	103	36	coefficient	coefficient	NOUN
fumecheng-7390	103	37	of	of	ADP
fumecheng-7390	103	38	friction	friction	NOUN
fumecheng-7390	103	39	–	–	PUNCT
fumecheng-7390	103	40	as	as	ADP
fumecheng-7390	103	41	the	the	DET
fumecheng-7390	103	42	same	same	ADJ
fumecheng-7390	103	43	waveform	waveform	NOUN
fumecheng-7390	103	44	at	at	ADP
fumecheng-7390	103	45	another	another	DET
fumecheng-7390	103	46	cutoff	cutoff	NOUN
fumecheng-7390	103	47	.	.	PUNCT
fumecheng-7390	104	1	of	of	ADP
fumecheng-7390	104	2	course	course	NOUN
fumecheng-7390	104	3	,	,	PUNCT
fumecheng-7390	104	4	this	this	DET
fumecheng-7390	104	5	rescaling	rescaling	NOUN
fumecheng-7390	104	6	also	also	ADV
fumecheng-7390	104	7	changes	change	VERB
fumecheng-7390	104	8	the	the	DET
fumecheng-7390	104	9	slope	slope	NOUN
fumecheng-7390	104	10	β	β	NOUN
fumecheng-7390	104	11	,	,	PUNCT
fumecheng-7390	104	12	which	which	PRON
fumecheng-7390	104	13	must	must	AUX
fumecheng-7390	104	14	be	be	AUX
fumecheng-7390	104	15	adjusted	adjust	VERB
fumecheng-7390	104	16	accordingly	accordingly	ADV
fumecheng-7390	104	17	.	.	PUNCT
fumecheng-7390	105	1	usually	usually	ADV
fumecheng-7390	105	2	,	,	PUNCT
fumecheng-7390	105	3	it	it	PRON
fumecheng-7390	105	4	is	be	AUX
fumecheng-7390	105	5	convenient	convenient	ADJ
fumecheng-7390	105	6	to	to	PART
fumecheng-7390	105	7	choose	choose	VERB
fumecheng-7390	105	8	the	the	DET
fumecheng-7390	105	9	coefficient	coefficient	NOUN
fumecheng-7390	105	10	of	of	ADP
fumecheng-7390	105	11	friction	friction	NOUN
fumecheng-7390	105	12	at	at	ADP
fumecheng-7390	105	13	γ	γ	X
fumecheng-7390	105	14	=	=	SYM
fumecheng-7390	105	15	1	1	NUM
fumecheng-7390	105	16	as	as	ADP
fumecheng-7390	105	17	a	a	DET
fumecheng-7390	105	18	reference	reference	NOUN
fumecheng-7390	105	19	point	point	NOUN
fumecheng-7390	105	20	,	,	PUNCT
fumecheng-7390	105	21	so	so	SCONJ
fumecheng-7390	105	22	that	that	SCONJ
fumecheng-7390	105	23	the	the	DET
fumecheng-7390	105	24	large	large	ADJ
fumecheng-7390	105	25	-	-	PUNCT
fumecheng-7390	105	26	amplitude	amplitude	NOUN
fumecheng-7390	105	27	coefficient	coefficient	NOUN
fumecheng-7390	105	28	of	of	ADP
fumecheng-7390	105	29	friction	friction	NOUN
fumecheng-7390	105	30	of	of	ADP
fumecheng-7390	105	31	a	a	DET
fumecheng-7390	105	32	self	self	NOUN
fumecheng-7390	105	33	-	-	PUNCT
fumecheng-7390	105	34	similar	similar	ADJ
fumecheng-7390	105	35	waveform	waveform	NOUN
fumecheng-7390	105	36	can	can	AUX
fumecheng-7390	105	37	be	be	AUX
fumecheng-7390	105	38	expressed	express	VERB
fumecheng-7390	105	39	as	as	ADP
fumecheng-7390	105	40	:	:	PUNCT
fumecheng-7390	105	41	0	0	NUM
fumecheng-7390	105	42	(	(	PUNCT
fumecheng-7390	105	43	,	,	PUNCT
fumecheng-7390	105	44	)	)	PUNCT
fumecheng-7390	105	45	(	(	PUNCT
fumecheng-7390	105	46	1	1	NUM
fumecheng-7390	105	47	(	(	PUNCT
fumecheng-7390	105	48	(	(	PUNCT
fumecheng-7390	105	49	,	,	PUNCT
fumecheng-7390	105	50	)	)	PUNCT
fumecheng-7390	105	51	)	)	PUNCT
fumecheng-7390	105	52	)	)	PUNCT
fumecheng-7390	105	53	w	w	NUM
fumecheng-7390	105	54			NOUN
fumecheng-7390	105	55			NUM
fumecheng-7390	105	56			NOUN
fumecheng-7390	105	57			NOUN
fumecheng-7390	105	58			NOUN
fumecheng-7390	105	59	=	=	NOUN
fumecheng-7390	105	60	−	−	NOUN
fumecheng-7390	105	61	(	(	PUNCT
fumecheng-7390	105	62	20	20	NUM
fumecheng-7390	105	63	)	)	PUNCT
fumecheng-7390	105	64	the	the	DET
fumecheng-7390	105	65	function	function	NOUN
fumecheng-7390	105	66	ξ	ξ	PROPN
fumecheng-7390	105	67	which	which	PRON
fumecheng-7390	105	68	provides	provide	VERB
fumecheng-7390	105	69	the	the	DET
fumecheng-7390	105	70	remapping	remapping	NOUN
fumecheng-7390	105	71	of	of	ADP
fumecheng-7390	105	72	β	β	PROPN
fumecheng-7390	105	73	is	be	AUX
fumecheng-7390	105	74	specific	specific	ADJ
fumecheng-7390	105	75	to	to	ADP
fumecheng-7390	105	76	the	the	DET
fumecheng-7390	105	77	waveform	waveform	NOUN
fumecheng-7390	105	78	.	.	PUNCT
fumecheng-7390	106	1	after	after	ADP
fumecheng-7390	106	2	the	the	DET
fumecheng-7390	106	3	triangle	triangle	NOUN
fumecheng-7390	106	4	,	,	PUNCT
fumecheng-7390	106	5	the	the	DET
fumecheng-7390	106	6	next	next	ADJ
fumecheng-7390	106	7	-	-	PUNCT
fumecheng-7390	106	8	simplest	simple	ADJ
fumecheng-7390	106	9	example	example	NOUN
fumecheng-7390	106	10	of	of	ADP
fumecheng-7390	106	11	a	a	DET
fumecheng-7390	106	12	self	self	NOUN
fumecheng-7390	106	13	-	-	PUNCT
fumecheng-7390	106	14	similar	similar	ADJ
fumecheng-7390	106	15	waveform	waveform	NOUN
fumecheng-7390	106	16	is	be	AUX
fumecheng-7390	106	17	the	the	DET
fumecheng-7390	106	18	square	square	ADJ
fumecheng-7390	106	19	wave	wave	NOUN
fumecheng-7390	106	20	,	,	PUNCT
fumecheng-7390	106	21	which	which	PRON
fumecheng-7390	106	22	alternates	alternate	VERB
fumecheng-7390	106	23	between	between	ADP
fumecheng-7390	106	24	1	1	NUM
fumecheng-7390	106	25	and	and	CCONJ
fumecheng-7390	106	26	-1	-1	ADV
fumecheng-7390	106	27	in	in	ADP
fumecheng-7390	106	28	equal	equal	ADJ
fumecheng-7390	106	29	intervals	interval	NOUN
fumecheng-7390	106	30	.	.	PUNCT
fumecheng-7390	107	1	it	it	PRON
fumecheng-7390	107	2	is	be	AUX
fumecheng-7390	107	3	easy	easy	ADJ
fumecheng-7390	107	4	to	to	PART
fumecheng-7390	107	5	show	show	VERB
fumecheng-7390	107	6	that	that	SCONJ
fumecheng-7390	107	7	the	the	DET
fumecheng-7390	107	8	remapping	remappe	VERB
fumecheng-7390	107	9	function	function	NOUN
fumecheng-7390	107	10	for	for	ADP
fumecheng-7390	107	11	such	such	DET
fumecheng-7390	107	12	an	an	DET
fumecheng-7390	107	13	oscillation	oscillation	NOUN
fumecheng-7390	107	14	is	be	AUX
fumecheng-7390	107	15	given	give	VERB
fumecheng-7390	107	16	by	by	ADP
fumecheng-7390	107	17	:	:	PUNCT
fumecheng-7390	107	18	sqr	sqr	PROPN
fumecheng-7390	107	19	2	2	NUM
fumecheng-7390	107	20	(	(	PUNCT
fumecheng-7390	107	21	,	,	PUNCT
fumecheng-7390	107	22	)	)	PUNCT
fumecheng-7390	107	23	1	1	NUM
fumecheng-7390	107	24			NOUN
fumecheng-7390	107	25			NOUN
fumecheng-7390	107	26			PROPN
fumecheng-7390	107	27			NUM
fumecheng-7390	107	28			NUM
fumecheng-7390	107	29	=	=	PUNCT
fumecheng-7390	108	1	+	+	PUNCT
fumecheng-7390	108	2	(	(	PUNCT
fumecheng-7390	108	3	21	21	NUM
fumecheng-7390	108	4	)	)	PUNCT
fumecheng-7390	108	5	using	use	VERB
fumecheng-7390	108	6	this	this	DET
fumecheng-7390	108	7	mapping	mapping	NOUN
fumecheng-7390	108	8	and	and	CCONJ
fumecheng-7390	108	9	the	the	DET
fumecheng-7390	108	10	reduction	reduction	NOUN
fumecheng-7390	108	11	function	function	NOUN
fumecheng-7390	108	12	ψsqr	ψsqr	NOUN
fumecheng-7390	108	13	of	of	ADP
fumecheng-7390	108	14	the	the	DET
fumecheng-7390	108	15	square	square	ADJ
fumecheng-7390	108	16	wave	wave	NOUN
fumecheng-7390	108	17	(	(	PUNCT
fumecheng-7390	108	18	see	see	VERB
fumecheng-7390	108	19	eq	eq	ADP
fumecheng-7390	108	20	.	.	PUNCT
fumecheng-7390	109	1	(	(	PUNCT
fumecheng-7390	109	2	36	36	NUM
fumecheng-7390	109	3	)	)	PUNCT
fumecheng-7390	109	4	in	in	ADP
fumecheng-7390	109	5	[	[	X
fumecheng-7390	109	6	10	10	NUM
fumecheng-7390	109	7	]	]	NUM
fumecheng-7390	109	8	)	)	PUNCT
fumecheng-7390	109	9	,	,	PUNCT
fumecheng-7390	109	10	the	the	DET
fumecheng-7390	109	11	coefficient	coefficient	NOUN
fumecheng-7390	109	12	of	of	ADP
fumecheng-7390	109	13	friction	friction	NOUN
fumecheng-7390	109	14	under	under	ADP
fumecheng-7390	109	15	large	large	ADJ
fumecheng-7390	109	16	-	-	PUNCT
fumecheng-7390	109	17	amplitude	amplitude	NOUN
fumecheng-7390	109	18	square	square	ADJ
fumecheng-7390	109	19	wave	wave	NOUN
fumecheng-7390	109	20	oscillations	oscillation	NOUN
fumecheng-7390	109	21	can	can	AUX
fumecheng-7390	109	22	be	be	AUX
fumecheng-7390	109	23	written	write	VERB
fumecheng-7390	109	24	as	as	ADP
fumecheng-7390	109	25	:	:	PUNCT
fumecheng-7390	109	26	friction	friction	NOUN
fumecheng-7390	109	27	under	under	ADP
fumecheng-7390	109	28	large	large	ADJ
fumecheng-7390	109	29	-	-	PUNCT
fumecheng-7390	109	30	amplitude	amplitude	NOUN
fumecheng-7390	109	31	normal	normal	ADJ
fumecheng-7390	109	32	oscillations	oscillation	NOUN
fumecheng-7390	109	33	111	111	NUM
fumecheng-7390	109	34	sqr	sqr	NOUN
fumecheng-7390	109	35	0	0	NUM
fumecheng-7390	109	36	,	,	PUNCT
fumecheng-7390	109	37	2(1	2(1	NUM
fumecheng-7390	109	38	)	)	PUNCT
fumecheng-7390	109	39	4(1	4(1	NUM
fumecheng-7390	109	40	)	)	PUNCT
fumecheng-7390	109	41	1	1	NUM
fumecheng-7390	109	42	1	1	NUM
fumecheng-7390	109	43	,	,	PUNCT
fumecheng-7390	109	44	2(1	2(1	NUM
fumecheng-7390	109	45	)	)	PUNCT
fumecheng-7390	109	46			PROPN
fumecheng-7390	109	47			PROPN
fumecheng-7390	109	48			NUM
fumecheng-7390	109	49			NOUN
fumecheng-7390	109	50			NUM
fumecheng-7390	109	51			PROPN
fumecheng-7390	109	52			PROPN
fumecheng-7390	109	53			NUM
fumecheng-7390	109	54			NOUN
fumecheng-7390	109	55			ADP
fumecheng-7390	109	56			PROPN
fumecheng-7390	110	1	+	+	ADJ
fumecheng-7390	110	2			NUM
fumecheng-7390	110	3	+	+	NOUN
fumecheng-7390	110	4			NUM
fumecheng-7390	110	5	=	=	SYM
fumecheng-7390	110	6			NUM
fumecheng-7390	110	7	+	+	NOUN
fumecheng-7390	110	8			NUM
fumecheng-7390	110	9	−	−	NOUN
fumecheng-7390	111	1			X
fumecheng-7390	112	1	+	+	CCONJ
fumecheng-7390	113	1			PROPN
fumecheng-7390	113	2	(	(	PUNCT
fumecheng-7390	113	3	22	22	NUM
fumecheng-7390	113	4	)	)	PUNCT
fumecheng-7390	113	5	this	this	DET
fumecheng-7390	113	6	result	result	NOUN
fumecheng-7390	113	7	is	be	AUX
fumecheng-7390	113	8	shown	show	VERB
fumecheng-7390	113	9	in	in	ADP
fumecheng-7390	113	10	fig	fig	NOUN
fumecheng-7390	113	11	.	.	PUNCT
fumecheng-7390	114	1	3	3	NUM
fumecheng-7390	114	2	for	for	ADP
fumecheng-7390	114	3	the	the	DET
fumecheng-7390	114	4	entire	entire	ADJ
fumecheng-7390	114	5	range	range	NOUN
fumecheng-7390	114	6	of	of	ADP
fumecheng-7390	114	7	γ	γ	NOUN
fumecheng-7390	114	8	from	from	ADP
fumecheng-7390	114	9	1	1	NUM
fumecheng-7390	114	10	(	(	PUNCT
fumecheng-7390	114	11	starting	start	VERB
fumecheng-7390	114	12	to	to	PART
fumecheng-7390	114	13	separate	separate	VERB
fumecheng-7390	114	14	)	)	PUNCT
fumecheng-7390	114	15	to	to	PART
fumecheng-7390	114	16	-1	-1	VERB
fumecheng-7390	114	17	(	(	PUNCT
fumecheng-7390	114	18	barely	barely	ADV
fumecheng-7390	114	19	touching	touching	ADJ
fumecheng-7390	114	20	)	)	PUNCT
fumecheng-7390	114	21	.	.	PUNCT
fumecheng-7390	115	1	fig	fig	NOUN
fumecheng-7390	115	2	.	.	PUNCT
fumecheng-7390	116	1	3	3	NUM
fumecheng-7390	116	2	coefficient	coefficient	NOUN
fumecheng-7390	116	3	of	of	ADP
fumecheng-7390	116	4	friction	friction	NOUN
fumecheng-7390	116	5	under	under	ADP
fumecheng-7390	116	6	large	large	ADJ
fumecheng-7390	116	7	-	-	PUNCT
fumecheng-7390	116	8	amplitude	amplitude	NOUN
fumecheng-7390	116	9	square	square	ADJ
fumecheng-7390	116	10	wave	wave	NOUN
fumecheng-7390	116	11	oscillations	oscillation	NOUN
fumecheng-7390	116	12	with	with	ADP
fumecheng-7390	116	13	11	11	NUM
fumecheng-7390	116	14	different	different	ADJ
fumecheng-7390	116	15	normalized	normalize	VERB
fumecheng-7390	116	16	indentations	indentation	NOUN
fumecheng-7390	116	17	γ	γ	NOUN
fumecheng-7390	116	18	covering	cover	VERB
fumecheng-7390	116	19	the	the	DET
fumecheng-7390	116	20	entire	entire	ADJ
fumecheng-7390	116	21	jumping	jumping	NOUN
fumecheng-7390	116	22	range	range	NOUN
fumecheng-7390	116	23	from	from	ADP
fumecheng-7390	116	24	-1	-1	INTJ
fumecheng-7390	116	25	to	to	ADP
fumecheng-7390	116	26	1	1	NUM
fumecheng-7390	116	27	.	.	PUNCT
fumecheng-7390	117	1	the	the	DET
fumecheng-7390	117	2	concept	concept	NOUN
fumecheng-7390	117	3	of	of	ADP
fumecheng-7390	117	4	self	self	NOUN
fumecheng-7390	117	5	-	-	PUNCT
fumecheng-7390	117	6	similar	similar	ADJ
fumecheng-7390	117	7	waveforms	waveform	NOUN
fumecheng-7390	117	8	also	also	ADV
fumecheng-7390	117	9	applies	apply	VERB
fumecheng-7390	117	10	to	to	ADP
fumecheng-7390	117	11	the	the	DET
fumecheng-7390	117	12	harmonic	harmonic	ADJ
fumecheng-7390	117	13	oscillation	oscillation	NOUN
fumecheng-7390	117	14	,	,	PUNCT
fumecheng-7390	117	15	to	to	ADP
fumecheng-7390	117	16	a	a	DET
fumecheng-7390	117	17	limited	limited	ADJ
fumecheng-7390	117	18	extent	extent	NOUN
fumecheng-7390	117	19	.	.	PUNCT
fumecheng-7390	118	1	while	while	SCONJ
fumecheng-7390	118	2	the	the	DET
fumecheng-7390	118	3	entire	entire	ADJ
fumecheng-7390	118	4	sine	sine	ADJ
fumecheng-7390	118	5	wave	wave	NOUN
fumecheng-7390	118	6	is	be	AUX
fumecheng-7390	118	7	not	not	PART
fumecheng-7390	118	8	self	self	NOUN
fumecheng-7390	118	9	-	-	PUNCT
fumecheng-7390	118	10	affine	affine	NOUN
fumecheng-7390	118	11	according	accord	VERB
fumecheng-7390	118	12	to	to	ADP
fumecheng-7390	118	13	our	our	PRON
fumecheng-7390	118	14	definition	definition	NOUN
fumecheng-7390	118	15	,	,	PUNCT
fumecheng-7390	118	16	it	it	PRON
fumecheng-7390	118	17	can	can	AUX
fumecheng-7390	118	18	be	be	AUX
fumecheng-7390	118	19	approximated	approximate	VERB
fumecheng-7390	118	20	piecewise	piecewise	NOUN
fumecheng-7390	118	21	by	by	ADP
fumecheng-7390	118	22	a	a	DET
fumecheng-7390	118	23	parabola	parabola	NOUN
fumecheng-7390	118	24	over	over	ADP
fumecheng-7390	118	25	some	some	PRON
fumecheng-7390	118	26	of	of	ADP
fumecheng-7390	118	27	its	its	PRON
fumecheng-7390	118	28	domain	domain	NOUN
fumecheng-7390	118	29	.	.	PUNCT
fumecheng-7390	119	1	since	since	SCONJ
fumecheng-7390	119	2	the	the	DET
fumecheng-7390	119	3	parabola	parabola	NOUN
fumecheng-7390	119	4	is	be	AUX
fumecheng-7390	119	5	indeed	indeed	ADV
fumecheng-7390	119	6	a	a	DET
fumecheng-7390	119	7	self	self	NOUN
fumecheng-7390	119	8	-	-	PUNCT
fumecheng-7390	119	9	affine	affine	NOUN
fumecheng-7390	119	10	function	function	NOUN
fumecheng-7390	119	11	,	,	PUNCT
fumecheng-7390	119	12	we	we	PRON
fumecheng-7390	119	13	can	can	AUX
fumecheng-7390	119	14	expect	expect	VERB
fumecheng-7390	119	15	the	the	DET
fumecheng-7390	119	16	coefficient	coefficient	NOUN
fumecheng-7390	119	17	of	of	ADP
fumecheng-7390	119	18	friction	friction	NOUN
fumecheng-7390	119	19	under	under	ADP
fumecheng-7390	119	20	harmonic	harmonic	ADJ
fumecheng-7390	119	21	oscillation	oscillation	NOUN
fumecheng-7390	119	22	to	to	PART
fumecheng-7390	119	23	have	have	AUX
fumecheng-7390	119	24	the	the	DET
fumecheng-7390	119	25	described	describe	VERB
fumecheng-7390	119	26	behavior	behavior	NOUN
fumecheng-7390	119	27	asymptotically	asymptotically	ADV
fumecheng-7390	119	28	,	,	PUNCT
fumecheng-7390	119	29	although	although	SCONJ
fumecheng-7390	119	30	it	it	PRON
fumecheng-7390	119	31	will	will	AUX
fumecheng-7390	119	32	not	not	PART
fumecheng-7390	119	33	be	be	AUX
fumecheng-7390	119	34	valid	valid	ADJ
fumecheng-7390	119	35	for	for	ADP
fumecheng-7390	119	36	values	value	NOUN
fumecheng-7390	119	37	of	of	ADP
fumecheng-7390	119	38	γ	γ	NOUN
fumecheng-7390	119	39	close	close	ADJ
fumecheng-7390	119	40	to	to	ADP
fumecheng-7390	119	41	1	1	NUM
fumecheng-7390	119	42	.	.	PUNCT
fumecheng-7390	120	1	the	the	DET
fumecheng-7390	120	2	remapping	remappe	VERB
fumecheng-7390	120	3	function	function	NOUN
fumecheng-7390	120	4	in	in	ADP
fumecheng-7390	120	5	this	this	DET
fumecheng-7390	120	6	case	case	NOUN
fumecheng-7390	120	7	can	can	AUX
fumecheng-7390	120	8	be	be	AUX
fumecheng-7390	120	9	shown	show	VERB
fumecheng-7390	120	10	to	to	PART
fumecheng-7390	120	11	be	be	AUX
fumecheng-7390	120	12	0	0	NUM
fumecheng-7390	120	13	2	2	NUM
fumecheng-7390	120	14	1	1	NUM
fumecheng-7390	120	15	(	(	PUNCT
fumecheng-7390	120	16	,	,	PUNCT
fumecheng-7390	120	17	)	)	PUNCT
fumecheng-7390	120	18	1	1	NUM
fumecheng-7390	120	19			NUM
fumecheng-7390	120	20			NOUN
fumecheng-7390	120	21			PROPN
fumecheng-7390	120	22			NUM
fumecheng-7390	120	23			PROPN
fumecheng-7390	120	24			NUM
fumecheng-7390	120	25	+	+	PUNCT
fumecheng-7390	121	1	=	=	PUNCT
fumecheng-7390	122	1	+	+	CCONJ
fumecheng-7390	122	2	(	(	PUNCT
fumecheng-7390	122	3	23	23	NUM
fumecheng-7390	122	4	)	)	PUNCT
fumecheng-7390	122	5	where	where	SCONJ
fumecheng-7390	122	6	γ0	γ0	NOUN
fumecheng-7390	122	7	is	be	AUX
fumecheng-7390	122	8	the	the	DET
fumecheng-7390	122	9	value	value	NOUN
fumecheng-7390	122	10	of	of	ADP
fumecheng-7390	122	11	γ	γ	NOUN
fumecheng-7390	122	12	at	at	ADP
fumecheng-7390	122	13	the	the	DET
fumecheng-7390	122	14	point	point	NOUN
fumecheng-7390	122	15	where	where	SCONJ
fumecheng-7390	122	16	the	the	DET
fumecheng-7390	122	17	self	self	NOUN
fumecheng-7390	122	18	-	-	PUNCT
fumecheng-7390	122	19	affine	affine	NOUN
fumecheng-7390	122	20	scaling	scale	VERB
fumecheng-7390	122	21	behavior	behavior	NOUN
fumecheng-7390	122	22	started	start	VERB
fumecheng-7390	122	23	.	.	PUNCT
fumecheng-7390	123	1	more	more	ADV
fumecheng-7390	123	2	generally	generally	ADV
fumecheng-7390	123	3	,	,	PUNCT
fumecheng-7390	123	4	for	for	ADP
fumecheng-7390	123	5	a	a	DET
fumecheng-7390	123	6	waveform	waveform	NOUN
fumecheng-7390	123	7	that	that	PRON
fumecheng-7390	123	8	can	can	AUX
fumecheng-7390	123	9	be	be	AUX
fumecheng-7390	123	10	asymptotically	asymptotically	ADV
fumecheng-7390	123	11	approximated	approximate	VERB
fumecheng-7390	123	12	by	by	ADP
fumecheng-7390	123	13	a	a	DET
fumecheng-7390	123	14	power	power	NOUN
fumecheng-7390	123	15	law	law	NOUN
fumecheng-7390	123	16	φn	φn	PROPN
fumecheng-7390	123	17	,	,	PUNCT
fumecheng-7390	123	18	the	the	DET
fumecheng-7390	123	19	corresponding	corresponding	ADJ
fumecheng-7390	123	20	remapping	remapping	NOUN
fumecheng-7390	123	21	can	can	AUX
fumecheng-7390	123	22	be	be	AUX
fumecheng-7390	123	23	shown	show	VERB
fumecheng-7390	123	24	to	to	PART
fumecheng-7390	123	25	be	be	AUX
fumecheng-7390	123	26	1/	1/	NUM
fumecheng-7390	123	27	01	01	NUM
fumecheng-7390	123	28	(	(	PUNCT
fumecheng-7390	123	29	,	,	PUNCT
fumecheng-7390	123	30	)	)	PUNCT
fumecheng-7390	123	31	1	1	NUM
fumecheng-7390	123	32	n	n	ADP
fumecheng-7390	123	33	n	n	PRON
fumecheng-7390	123	34			NUM
fumecheng-7390	123	35			NOUN
fumecheng-7390	123	36			PROPN
fumecheng-7390	123	37			NUM
fumecheng-7390	123	38			PROPN
fumecheng-7390	123	39			NUM
fumecheng-7390	123	40	+	+	NOUN
fumecheng-7390	124	1			NOUN
fumecheng-7390	124	2			NOUN
fumecheng-7390	124	3	=	=	SYM
fumecheng-7390	124	4			PROPN
fumecheng-7390	124	5			PROPN
fumecheng-7390	125	1	+	+	ADJ
fumecheng-7390	125	2			PROPN
fumecheng-7390	125	3			NOUN
fumecheng-7390	125	4	(	(	PUNCT
fumecheng-7390	125	5	24	24	NUM
fumecheng-7390	125	6	)	)	SYM
fumecheng-7390	125	7	112	112	NUM
fumecheng-7390	125	8	m.	m.	NOUN
fumecheng-7390	125	9	popov	popov	PROPN
fumecheng-7390	125	10	3.3	3.3	NUM
fumecheng-7390	125	11	.	.	PUNCT
fumecheng-7390	126	1	numerical	numerical	ADJ
fumecheng-7390	126	2	example	example	NOUN
fumecheng-7390	126	3	:	:	PUNCT
fumecheng-7390	126	4	harmonic	harmonic	VERB
fumecheng-7390	126	5	oscillation	oscillation	NOUN
fumecheng-7390	126	6	as	as	ADP
fumecheng-7390	126	7	an	an	DET
fumecheng-7390	126	8	example	example	NOUN
fumecheng-7390	126	9	of	of	ADP
fumecheng-7390	126	10	asymptotic	asymptotic	ADJ
fumecheng-7390	126	11	scaling	scaling	NOUN
fumecheng-7390	126	12	,	,	PUNCT
fumecheng-7390	126	13	fig	fig	NOUN
fumecheng-7390	126	14	.	.	PUNCT
fumecheng-7390	127	1	4	4	NUM
fumecheng-7390	127	2	shows	show	VERB
fumecheng-7390	127	3	numerically	numerically	ADV
fumecheng-7390	127	4	determined	determined	ADJ
fumecheng-7390	127	5	coefficients	coefficient	NOUN
fumecheng-7390	127	6	of	of	ADP
fumecheng-7390	127	7	friction	friction	NOUN
fumecheng-7390	127	8	under	under	ADP
fumecheng-7390	127	9	large	large	ADJ
fumecheng-7390	127	10	-	-	PUNCT
fumecheng-7390	127	11	amplitude	amplitude	NOUN
fumecheng-7390	127	12	harmonic	harmonic	ADJ
fumecheng-7390	127	13	oscillation	oscillation	NOUN
fumecheng-7390	127	14	.	.	PUNCT
fumecheng-7390	128	1	one	one	NUM
fumecheng-7390	128	2	thing	thing	NOUN
fumecheng-7390	128	3	to	to	PART
fumecheng-7390	128	4	note	note	VERB
fumecheng-7390	128	5	is	be	AUX
fumecheng-7390	128	6	that	that	SCONJ
fumecheng-7390	128	7	for	for	ADP
fumecheng-7390	128	8	γ	γ	NOUN
fumecheng-7390	128	9	in	in	ADP
fumecheng-7390	128	10	the	the	DET
fumecheng-7390	128	11	range	range	NOUN
fumecheng-7390	128	12	of	of	ADP
fumecheng-7390	128	13	approximately	approximately	ADV
fumecheng-7390	128	14	-0.2	-0.2	NOUN
fumecheng-7390	128	15	to	to	ADP
fumecheng-7390	128	16	1	1	NUM
fumecheng-7390	128	17	,	,	PUNCT
fumecheng-7390	128	18	the	the	DET
fumecheng-7390	128	19	coefficient	coefficient	NOUN
fumecheng-7390	128	20	of	of	ADP
fumecheng-7390	128	21	friction	friction	NOUN
fumecheng-7390	128	22	depends	depend	VERB
fumecheng-7390	128	23	only	only	ADV
fumecheng-7390	128	24	weakly	weakly	ADV
fumecheng-7390	128	25	on	on	ADP
fumecheng-7390	128	26	γ	γ	NOUN
fumecheng-7390	128	27	,	,	PUNCT
fumecheng-7390	128	28	with	with	ADP
fumecheng-7390	128	29	all	all	DET
fumecheng-7390	128	30	curves	curve	NOUN
fumecheng-7390	128	31	bunching	bunch	VERB
fumecheng-7390	128	32	fairly	fairly	ADV
fumecheng-7390	128	33	closely	closely	ADV
fumecheng-7390	128	34	together	together	ADV
fumecheng-7390	128	35	.	.	PUNCT
fumecheng-7390	129	1	the	the	DET
fumecheng-7390	129	2	dependence	dependence	NOUN
fumecheng-7390	129	3	on	on	ADP
fumecheng-7390	129	4	γ	γ	PROPN
fumecheng-7390	129	5	is	be	AUX
fumecheng-7390	129	6	also	also	ADV
fumecheng-7390	129	7	non	non	ADJ
fumecheng-7390	129	8	-	-	ADJ
fumecheng-7390	129	9	monotonous	monotonous	ADJ
fumecheng-7390	129	10	in	in	ADP
fumecheng-7390	129	11	this	this	DET
fumecheng-7390	129	12	range	range	NOUN
fumecheng-7390	129	13	,	,	PUNCT
fumecheng-7390	129	14	leading	lead	VERB
fumecheng-7390	129	15	to	to	ADP
fumecheng-7390	129	16	lower	low	ADJ
fumecheng-7390	129	17	coefficients	coefficient	NOUN
fumecheng-7390	129	18	of	of	ADP
fumecheng-7390	129	19	friction	friction	NOUN
fumecheng-7390	129	20	at	at	ADP
fumecheng-7390	129	21	first	first	ADV
fumecheng-7390	129	22	(	(	PUNCT
fumecheng-7390	129	23	from	from	ADP
fumecheng-7390	129	24	γ	γ	X
fumecheng-7390	129	25	=	=	SYM
fumecheng-7390	129	26	1	1	NUM
fumecheng-7390	129	27	to	to	ADP
fumecheng-7390	129	28	approx	approx	PROPN
fumecheng-7390	129	29	.	.	PUNCT
fumecheng-7390	129	30	0.6	0.6	NUM
fumecheng-7390	129	31	)	)	PUNCT
fumecheng-7390	129	32	,	,	PUNCT
fumecheng-7390	129	33	and	and	CCONJ
fumecheng-7390	129	34	then	then	ADV
fumecheng-7390	129	35	increasing	increase	VERB
fumecheng-7390	129	36	again	again	ADV
fumecheng-7390	129	37	(	(	PUNCT
fumecheng-7390	129	38	from	from	ADP
fumecheng-7390	129	39	γ	γ	X
fumecheng-7390	129	40	=	=	SYM
fumecheng-7390	129	41	0.6	0.6	NUM
fumecheng-7390	129	42	to	to	PART
fumecheng-7390	129	43	-1	-1	PUNCT
fumecheng-7390	129	44	)	)	PUNCT
fumecheng-7390	129	45	.	.	PUNCT
fumecheng-7390	130	1	the	the	DET
fumecheng-7390	130	2	value	value	NOUN
fumecheng-7390	130	3	around	around	ADP
fumecheng-7390	130	4	γ	γ	X
fumecheng-7390	130	5	=	=	SYM
fumecheng-7390	130	6	-0.3	-0.3	PROPN
fumecheng-7390	130	7	is	be	AUX
fumecheng-7390	130	8	the	the	DET
fumecheng-7390	130	9	point	point	NOUN
fumecheng-7390	130	10	from	from	ADP
fumecheng-7390	130	11	which	which	PRON
fumecheng-7390	130	12	the	the	DET
fumecheng-7390	130	13	remaining	remain	VERB
fumecheng-7390	130	14	part	part	NOUN
fumecheng-7390	130	15	of	of	ADP
fumecheng-7390	130	16	the	the	DET
fumecheng-7390	130	17	cropped	crop	VERB
fumecheng-7390	130	18	waveform	waveform	NOUN
fumecheng-7390	130	19	can	can	AUX
fumecheng-7390	130	20	be	be	AUX
fumecheng-7390	130	21	regarded	regard	VERB
fumecheng-7390	130	22	as	as	ADP
fumecheng-7390	130	23	roughly	roughly	ADV
fumecheng-7390	130	24	parabolical	parabolical	ADJ
fumecheng-7390	130	25	,	,	PUNCT
fumecheng-7390	130	26	and	and	CCONJ
fumecheng-7390	130	27	the	the	DET
fumecheng-7390	130	28	subsequent	subsequent	ADJ
fumecheng-7390	130	29	behavior	behavior	NOUN
fumecheng-7390	130	30	of	of	ADP
fumecheng-7390	130	31	the	the	DET
fumecheng-7390	130	32	coefficient	coefficient	NOUN
fumecheng-7390	130	33	of	of	ADP
fumecheng-7390	130	34	friction	friction	NOUN
fumecheng-7390	130	35	can	can	AUX
fumecheng-7390	130	36	be	be	AUX
fumecheng-7390	130	37	described	describe	VERB
fumecheng-7390	130	38	by	by	ADP
fumecheng-7390	130	39	the	the	DET
fumecheng-7390	130	40	scaling	scaling	NOUN
fumecheng-7390	130	41	given	give	VERB
fumecheng-7390	130	42	in	in	ADP
fumecheng-7390	130	43	eq	eq	ADP
fumecheng-7390	130	44	.	.	PUNCT
fumecheng-7390	131	1	(	(	PUNCT
fumecheng-7390	131	2	23	23	NUM
fumecheng-7390	131	3	)	)	PUNCT
fumecheng-7390	131	4	.	.	PUNCT
fumecheng-7390	132	1	this	this	PRON
fumecheng-7390	132	2	is	be	AUX
fumecheng-7390	132	3	also	also	ADV
fumecheng-7390	132	4	shown	show	VERB
fumecheng-7390	132	5	in	in	ADP
fumecheng-7390	132	6	fig	fig	NOUN
fumecheng-7390	132	7	.	.	PUNCT
fumecheng-7390	133	1	4	4	NUM
fumecheng-7390	133	2	with	with	ADP
fumecheng-7390	133	3	black	black	ADJ
fumecheng-7390	133	4	dots	dot	NOUN
fumecheng-7390	133	5	.	.	PUNCT
fumecheng-7390	134	1	fig	fig	NOUN
fumecheng-7390	134	2	.	.	PUNCT
fumecheng-7390	135	1	4	4	NUM
fumecheng-7390	135	2	numerically	numerically	ADV
fumecheng-7390	135	3	computed	compute	VERB
fumecheng-7390	135	4	coefficient	coefficient	NOUN
fumecheng-7390	135	5	of	of	ADP
fumecheng-7390	135	6	friction	friction	NOUN
fumecheng-7390	135	7	under	under	ADP
fumecheng-7390	135	8	large	large	ADJ
fumecheng-7390	135	9	-	-	PUNCT
fumecheng-7390	135	10	amplitude	amplitude	NOUN
fumecheng-7390	135	11	harmonic	harmonic	ADJ
fumecheng-7390	135	12	oscillations	oscillation	NOUN
fumecheng-7390	135	13	with	with	ADP
fumecheng-7390	135	14	11	11	NUM
fumecheng-7390	135	15	different	different	ADJ
fumecheng-7390	135	16	normalized	normalize	VERB
fumecheng-7390	135	17	indentations	indentation	NOUN
fumecheng-7390	135	18	γ	γ	NOUN
fumecheng-7390	135	19	covering	cover	VERB
fumecheng-7390	135	20	the	the	DET
fumecheng-7390	135	21	entire	entire	ADJ
fumecheng-7390	135	22	jumping	jumping	NOUN
fumecheng-7390	135	23	range	range	NOUN
fumecheng-7390	135	24	from	from	ADP
fumecheng-7390	135	25	-1	-1	INTJ
fumecheng-7390	135	26	to	to	ADP
fumecheng-7390	135	27	1	1	NUM
fumecheng-7390	135	28	.	.	PUNCT
fumecheng-7390	135	29	note	note	VERB
fumecheng-7390	135	30	the	the	DET
fumecheng-7390	135	31	non	non	ADJ
fumecheng-7390	135	32	-	-	ADJ
fumecheng-7390	135	33	monotonous	monotonous	ADJ
fumecheng-7390	135	34	dependence	dependence	NOUN
fumecheng-7390	135	35	on	on	ADP
fumecheng-7390	135	36	γ	γ	NOUN
fumecheng-7390	135	37	:	:	PUNCT
fumecheng-7390	135	38	the	the	DET
fumecheng-7390	135	39	dark	dark	ADJ
fumecheng-7390	135	40	red	red	ADJ
fumecheng-7390	135	41	line	line	NOUN
fumecheng-7390	135	42	corresponds	correspond	VERB
fumecheng-7390	135	43	to	to	ADP
fumecheng-7390	135	44	the	the	DET
fumecheng-7390	135	45	critical	critical	ADJ
fumecheng-7390	135	46	value	value	NOUN
fumecheng-7390	135	47	γ	γ	X
fumecheng-7390	135	48	=	=	SYM
fumecheng-7390	135	49	1	1	NUM
fumecheng-7390	135	50	,	,	PUNCT
fumecheng-7390	135	51	which	which	PRON
fumecheng-7390	135	52	separates	separate	VERB
fumecheng-7390	135	53	the	the	DET
fumecheng-7390	135	54	jumping	jumping	NOUN
fumecheng-7390	135	55	and	and	CCONJ
fumecheng-7390	135	56	non	non	ADJ
fumecheng-7390	135	57	-	-	ADJ
fumecheng-7390	135	58	jumping	jumping	ADJ
fumecheng-7390	135	59	regions	region	NOUN
fumecheng-7390	135	60	.	.	PUNCT
fumecheng-7390	136	1	from	from	ADP
fumecheng-7390	136	2	there	there	ADV
fumecheng-7390	136	3	,	,	PUNCT
fumecheng-7390	136	4	the	the	DET
fumecheng-7390	136	5	coefficient	coefficient	NOUN
fumecheng-7390	136	6	of	of	ADP
fumecheng-7390	136	7	friction	friction	NOUN
fumecheng-7390	136	8	is	be	AUX
fumecheng-7390	136	9	first	first	ADV
fumecheng-7390	136	10	reduced	reduce	VERB
fumecheng-7390	136	11	with	with	ADP
fumecheng-7390	136	12	diminishing	diminish	VERB
fumecheng-7390	136	13	γ	γ	X
fumecheng-7390	136	14	(	(	PUNCT
fumecheng-7390	136	15	red	red	ADJ
fumecheng-7390	136	16	lines	line	NOUN
fumecheng-7390	136	17	and	and	CCONJ
fumecheng-7390	136	18	arrow	arrow	NOUN
fumecheng-7390	136	19	)	)	PUNCT
fumecheng-7390	136	20	and	and	CCONJ
fumecheng-7390	136	21	then	then	ADV
fumecheng-7390	136	22	increases	increase	VERB
fumecheng-7390	136	23	again	again	ADV
fumecheng-7390	136	24	(	(	PUNCT
fumecheng-7390	136	25	blue	blue	ADJ
fumecheng-7390	136	26	lines	line	NOUN
fumecheng-7390	136	27	and	and	CCONJ
fumecheng-7390	136	28	arrow	arrow	NOUN
fumecheng-7390	136	29	)	)	PUNCT
fumecheng-7390	136	30	starting	start	VERB
fumecheng-7390	136	31	somewhere	somewhere	ADV
fumecheng-7390	136	32	around	around	ADP
fumecheng-7390	136	33	γ	γ	X
fumecheng-7390	136	34	=	=	SYM
fumecheng-7390	136	35	0.6	0.6	NUM
fumecheng-7390	136	36	.	.	PUNCT
fumecheng-7390	137	1	black	black	ADJ
fumecheng-7390	137	2	dots	dot	NOUN
fumecheng-7390	137	3	indicate	indicate	VERB
fumecheng-7390	137	4	the	the	DET
fumecheng-7390	137	5	expected	expect	VERB
fumecheng-7390	137	6	scaling	scale	VERB
fumecheng-7390	137	7	behavior	behavior	NOUN
fumecheng-7390	137	8	according	accord	VERB
fumecheng-7390	137	9	to	to	ADP
fumecheng-7390	137	10	eq	eq	PROPN
fumecheng-7390	137	11	.	.	PUNCT
fumecheng-7390	138	1	(	(	PUNCT
fumecheng-7390	138	2	23	23	NUM
fumecheng-7390	138	3	)	)	PUNCT
fumecheng-7390	138	4	relative	relative	ADJ
fumecheng-7390	138	5	to	to	ADP
fumecheng-7390	138	6	γ0	γ0	NOUN
fumecheng-7390	138	7	=	=	SYM
fumecheng-7390	138	8	-0.3	-0.3	PROPN
fumecheng-7390	138	9	.	.	NOUN
fumecheng-7390	139	1	4	4	NUM
fumecheng-7390	139	2	.	.	PUNCT
fumecheng-7390	139	3	conclusions	conclusion	NOUN
fumecheng-7390	139	4	the	the	DET
fumecheng-7390	139	5	influence	influence	NOUN
fumecheng-7390	139	6	of	of	ADP
fumecheng-7390	139	7	large	large	ADJ
fumecheng-7390	139	8	-	-	PUNCT
fumecheng-7390	139	9	amplitude	amplitude	NOUN
fumecheng-7390	139	10	normal	normal	ADJ
fumecheng-7390	139	11	oscillation	oscillation	NOUN
fumecheng-7390	139	12	on	on	ADP
fumecheng-7390	139	13	sliding	slide	VERB
fumecheng-7390	139	14	friction	friction	NOUN
fumecheng-7390	139	15	,	,	PUNCT
fumecheng-7390	139	16	which	which	PRON
fumecheng-7390	139	17	has	have	AUX
fumecheng-7390	139	18	not	not	PART
fumecheng-7390	139	19	previously	previously	ADV
fumecheng-7390	139	20	received	receive	VERB
fumecheng-7390	139	21	much	much	ADJ
fumecheng-7390	139	22	attention	attention	NOUN
fumecheng-7390	139	23	in	in	ADP
fumecheng-7390	139	24	the	the	DET
fumecheng-7390	139	25	literature	literature	NOUN
fumecheng-7390	139	26	,	,	PUNCT
fumecheng-7390	139	27	was	be	AUX
fumecheng-7390	139	28	analyzed	analyze	VERB
fumecheng-7390	139	29	in	in	ADP
fumecheng-7390	139	30	this	this	DET
fumecheng-7390	139	31	work	work	NOUN
fumecheng-7390	139	32	,	,	PUNCT
fumecheng-7390	139	33	based	base	VERB
fumecheng-7390	139	34	on	on	ADP
fumecheng-7390	139	35	a	a	DET
fumecheng-7390	139	36	model	model	NOUN
fumecheng-7390	139	37	proposed	propose	VERB
fumecheng-7390	139	38	by	by	ADP
fumecheng-7390	139	39	the	the	DET
fumecheng-7390	139	40	authors	author	NOUN
fumecheng-7390	139	41	in	in	ADP
fumecheng-7390	139	42	a	a	DET
fumecheng-7390	139	43	previous	previous	ADJ
fumecheng-7390	139	44	publication	publication	NOUN
fumecheng-7390	139	45	.	.	PUNCT
fumecheng-7390	140	1	it	it	PRON
fumecheng-7390	140	2	was	be	AUX
fumecheng-7390	140	3	shown	show	VERB
fumecheng-7390	140	4	that	that	SCONJ
fumecheng-7390	140	5	the	the	DET
fumecheng-7390	140	6	coefficient	coefficient	NOUN
fumecheng-7390	140	7	of	of	ADP
fumecheng-7390	140	8	friction	friction	NOUN
fumecheng-7390	140	9	in	in	ADP
fumecheng-7390	140	10	the	the	DET
fumecheng-7390	140	11	jumping	jumping	NOUN
fumecheng-7390	140	12	case	case	NOUN
fumecheng-7390	140	13	depends	depend	VERB
fumecheng-7390	140	14	on	on	ADP
fumecheng-7390	140	15	the	the	DET
fumecheng-7390	140	16	same	same	ADJ
fumecheng-7390	140	17	dimensionless	dimensionless	NOUN
fumecheng-7390	140	18	variables	variable	NOUN
fumecheng-7390	140	19	as	as	ADP
fumecheng-7390	140	20	in	in	ADP
fumecheng-7390	140	21	the	the	DET
fumecheng-7390	140	22	lowamplitude	lowamplitude	NOUN
fumecheng-7390	140	23	case	case	NOUN
fumecheng-7390	140	24	,	,	PUNCT
fumecheng-7390	140	25	but	but	CCONJ
fumecheng-7390	140	26	in	in	ADP
fumecheng-7390	140	27	a	a	DET
fumecheng-7390	140	28	more	more	ADV
fumecheng-7390	140	29	complicated	complicated	ADJ
fumecheng-7390	140	30	fashion	fashion	NOUN
fumecheng-7390	140	31	.	.	PUNCT
fumecheng-7390	141	1	at	at	ADP
fumecheng-7390	141	2	low	low	ADJ
fumecheng-7390	141	3	amplitudes	amplitude	NOUN
fumecheng-7390	141	4	,	,	PUNCT
fumecheng-7390	141	5	the	the	DET
fumecheng-7390	141	6	influence	influence	NOUN
fumecheng-7390	141	7	of	of	ADP
fumecheng-7390	141	8	the	the	DET
fumecheng-7390	141	9	two	two	NUM
fumecheng-7390	141	10	main	main	ADJ
fumecheng-7390	141	11	variables	variable	NOUN
fumecheng-7390	141	12	,	,	PUNCT
fumecheng-7390	141	13	α	α	NOUN
fumecheng-7390	141	14	and	and	CCONJ
fumecheng-7390	141	15	β	β	X
fumecheng-7390	141	16	is	be	AUX
fumecheng-7390	141	17	cleanly	cleanly	ADV
fumecheng-7390	141	18	separated	separate	VERB
fumecheng-7390	141	19	,	,	PUNCT
fumecheng-7390	141	20	while	while	SCONJ
fumecheng-7390	141	21	at	at	ADP
fumecheng-7390	141	22	large	large	ADJ
fumecheng-7390	141	23	amplitudes	amplitude	NOUN
fumecheng-7390	141	24	they	they	PRON
fumecheng-7390	141	25	become	become	VERB
fumecheng-7390	141	26	friction	friction	NOUN
fumecheng-7390	141	27	under	under	ADP
fumecheng-7390	141	28	large	large	ADJ
fumecheng-7390	141	29	-	-	PUNCT
fumecheng-7390	141	30	amplitude	amplitude	NOUN
fumecheng-7390	141	31	normal	normal	ADJ
fumecheng-7390	141	32	oscillations	oscillation	NOUN
fumecheng-7390	141	33	113	113	NUM
fumecheng-7390	141	34	entangled	entangle	VERB
fumecheng-7390	141	35	and	and	CCONJ
fumecheng-7390	141	36	influence	influence	VERB
fumecheng-7390	141	37	the	the	DET
fumecheng-7390	141	38	coefficient	coefficient	NOUN
fumecheng-7390	141	39	of	of	ADP
fumecheng-7390	141	40	friction	friction	NOUN
fumecheng-7390	141	41	in	in	ADP
fumecheng-7390	141	42	a	a	DET
fumecheng-7390	141	43	nontrivial	nontrivial	ADJ
fumecheng-7390	141	44	manner	manner	NOUN
fumecheng-7390	141	45	.	.	PUNCT
fumecheng-7390	142	1	this	this	PRON
fumecheng-7390	142	2	was	be	AUX
fumecheng-7390	142	3	demonstrated	demonstrate	VERB
fumecheng-7390	142	4	on	on	ADP
fumecheng-7390	142	5	the	the	DET
fumecheng-7390	142	6	example	example	NOUN
fumecheng-7390	142	7	of	of	ADP
fumecheng-7390	142	8	the	the	DET
fumecheng-7390	142	9	harmonic	harmonic	ADJ
fumecheng-7390	142	10	oscillation	oscillation	NOUN
fumecheng-7390	142	11	,	,	PUNCT
fumecheng-7390	142	12	where	where	SCONJ
fumecheng-7390	142	13	the	the	DET
fumecheng-7390	142	14	amplitude	amplitude	NOUN
fumecheng-7390	142	15	-	-	PUNCT
fumecheng-7390	142	16	dependence	dependence	NOUN
fumecheng-7390	142	17	is	be	AUX
fumecheng-7390	142	18	non	non	ADJ
fumecheng-7390	142	19	-	-	ADJ
fumecheng-7390	142	20	monotonic	monotonic	ADJ
fumecheng-7390	142	21	and	and	CCONJ
fumecheng-7390	142	22	can	can	AUX
fumecheng-7390	142	23	only	only	ADV
fumecheng-7390	142	24	be	be	AUX
fumecheng-7390	142	25	determined	determine	VERB
fumecheng-7390	142	26	numerically	numerically	ADV
fumecheng-7390	142	27	.	.	PUNCT
fumecheng-7390	143	1	however	however	ADV
fumecheng-7390	143	2	,	,	PUNCT
fumecheng-7390	143	3	some	some	DET
fumecheng-7390	143	4	simple	simple	ADJ
fumecheng-7390	143	5	cases	case	NOUN
fumecheng-7390	143	6	such	such	ADJ
fumecheng-7390	143	7	as	as	ADP
fumecheng-7390	143	8	triangular	triangular	NOUN
fumecheng-7390	143	9	,	,	PUNCT
fumecheng-7390	143	10	rectangular	rectangular	ADJ
fumecheng-7390	143	11	and	and	CCONJ
fumecheng-7390	143	12	more	more	ADV
fumecheng-7390	143	13	general	general	ADJ
fumecheng-7390	143	14	self	self	NOUN
fumecheng-7390	143	15	-	-	PUNCT
fumecheng-7390	143	16	similar	similar	ADJ
fumecheng-7390	143	17	waveforms	waveform	NOUN
fumecheng-7390	143	18	yield	yield	VERB
fumecheng-7390	143	19	relatively	relatively	ADV
fumecheng-7390	143	20	simple	simple	ADJ
fumecheng-7390	143	21	results	result	NOUN
fumecheng-7390	143	22	,	,	PUNCT
fumecheng-7390	143	23	which	which	PRON
fumecheng-7390	143	24	allow	allow	VERB
fumecheng-7390	143	25	the	the	DET
fumecheng-7390	143	26	coefficient	coefficient	NOUN
fumecheng-7390	143	27	of	of	ADP
fumecheng-7390	143	28	friction	friction	NOUN
fumecheng-7390	143	29	to	to	PART
fumecheng-7390	143	30	be	be	AUX
fumecheng-7390	143	31	expressed	express	VERB
fumecheng-7390	143	32	either	either	CCONJ
fumecheng-7390	143	33	in	in	ADP
fumecheng-7390	143	34	closed	closed	ADJ
fumecheng-7390	143	35	form	form	NOUN
fumecheng-7390	143	36	or	or	CCONJ
fumecheng-7390	143	37	as	as	ADP
fumecheng-7390	143	38	an	an	DET
fumecheng-7390	143	39	asymptotic	asymptotic	ADJ
fumecheng-7390	143	40	scaling	scaling	NOUN
fumecheng-7390	143	41	relation	relation	NOUN
fumecheng-7390	143	42	.	.	PUNCT
fumecheng-7390	144	1	acknowledgement	acknowledgement	NOUN
fumecheng-7390	144	2	:	:	PUNCT
fumecheng-7390	144	3	this	this	DET
fumecheng-7390	144	4	work	work	NOUN
fumecheng-7390	144	5	was	be	AUX
fumecheng-7390	144	6	supported	support	VERB
fumecheng-7390	144	7	in	in	ADP
fumecheng-7390	144	8	part	part	NOUN
fumecheng-7390	144	9	by	by	ADP
fumecheng-7390	144	10	the	the	DET
fumecheng-7390	144	11	tomsk	tomsk	PROPN
fumecheng-7390	144	12	state	state	PROPN
fumecheng-7390	144	13	university	university	PROPN
fumecheng-7390	144	14	competitiveness	competitiveness	NOUN
fumecheng-7390	144	15	improvement	improvement	NOUN
fumecheng-7390	144	16	programme	programme	NOUN
fumecheng-7390	144	17	,	,	PUNCT
fumecheng-7390	144	18	which	which	PRON
fumecheng-7390	144	19	the	the	DET
fumecheng-7390	144	20	author	author	NOUN
fumecheng-7390	144	21	gratefully	gratefully	ADV
fumecheng-7390	144	22	acknowledges	acknowledge	VERB
fumecheng-7390	144	23	.	.	PUNCT
fumecheng-7390	145	1	references	reference	NOUN
fumecheng-7390	145	2	1	1	NUM
fumecheng-7390	145	3	.	.	PUNCT
fumecheng-7390	146	1	siegert	siegert	PROPN
fumecheng-7390	146	2	,	,	PUNCT
fumecheng-7390	146	3	k.	k.	PROPN
fumecheng-7390	146	4	,	,	PUNCT
fumecheng-7390	146	5	ulmer	ulmer	PROPN
fumecheng-7390	146	6	,	,	PUNCT
fumecheng-7390	146	7	j.	j.	PROPN
fumecheng-7390	146	8	,	,	PUNCT
fumecheng-7390	146	9	2001	2001	NUM
fumecheng-7390	146	10	,	,	PUNCT
fumecheng-7390	146	11	superimposing	superimpose	VERB
fumecheng-7390	146	12	ultrasonic	ultrasonic	ADJ
fumecheng-7390	146	13	waves	wave	NOUN
fumecheng-7390	146	14	on	on	ADP
fumecheng-7390	146	15	the	the	DET
fumecheng-7390	146	16	dies	die	NOUN
fumecheng-7390	146	17	in	in	ADP
fumecheng-7390	146	18	tube	tube	NOUN
fumecheng-7390	146	19	and	and	CCONJ
fumecheng-7390	146	20	wire	wire	NOUN
fumecheng-7390	146	21	drawing	drawing	NOUN
fumecheng-7390	146	22	,	,	PUNCT
fumecheng-7390	146	23	journal	journal	NOUN
fumecheng-7390	146	24	of	of	ADP
fumecheng-7390	146	25	engineering	engineering	NOUN
fumecheng-7390	146	26	materials	material	NOUN
fumecheng-7390	146	27	and	and	CCONJ
fumecheng-7390	146	28	technology	technology	NOUN
fumecheng-7390	146	29	,	,	PUNCT
fumecheng-7390	146	30	123(4	123(4	NUM
fumecheng-7390	146	31	)	)	PUNCT
fumecheng-7390	146	32	,	,	PUNCT
fumecheng-7390	146	33	pp	pp	ADP
fumecheng-7390	146	34	.	.	PUNCT
fumecheng-7390	147	1	517–523	517–523	NUM
fumecheng-7390	147	2	.	.	NOUN
fumecheng-7390	147	3	2	2	NUM
fumecheng-7390	147	4	.	.	X
fumecheng-7390	147	5	murakawa	murakawa	PROPN
fumecheng-7390	147	6	,	,	PUNCT
fumecheng-7390	147	7	m.	m.	NOUN
fumecheng-7390	147	8	,	,	PUNCT
fumecheng-7390	147	9	jin	jin	NOUN
fumecheng-7390	147	10	,	,	PUNCT
fumecheng-7390	147	11	m.	m.	NOUN
fumecheng-7390	147	12	,	,	PUNCT
fumecheng-7390	147	13	2001	2001	NUM
fumecheng-7390	147	14	,	,	PUNCT
fumecheng-7390	147	15	the	the	DET
fumecheng-7390	147	16	utility	utility	NOUN
fumecheng-7390	147	17	of	of	ADP
fumecheng-7390	147	18	radially	radially	ADV
fumecheng-7390	147	19	and	and	CCONJ
fumecheng-7390	147	20	ultrasonically	ultrasonically	PROPN
fumecheng-7390	147	21	vibrated	vibrate	VERB
fumecheng-7390	147	22	dies	die	NOUN
fumecheng-7390	147	23	in	in	ADP
fumecheng-7390	147	24	the	the	DET
fumecheng-7390	147	25	wire	wire	NOUN
fumecheng-7390	147	26	drawing	drawing	NOUN
fumecheng-7390	147	27	process	process	NOUN
fumecheng-7390	147	28	,	,	PUNCT
fumecheng-7390	147	29	journal	journal	NOUN
fumecheng-7390	147	30	of	of	ADP
fumecheng-7390	147	31	materials	material	NOUN
fumecheng-7390	147	32	processing	processing	NOUN
fumecheng-7390	147	33	technology	technology	NOUN
fumecheng-7390	147	34	,	,	PUNCT
fumecheng-7390	147	35	113(1	113(1	NUM
fumecheng-7390	147	36	-	-	SYM
fumecheng-7390	147	37	3	3	NUM
fumecheng-7390	147	38	)	)	PUNCT
fumecheng-7390	147	39	,	,	PUNCT
fumecheng-7390	147	40	pp	pp	PROPN
fumecheng-7390	147	41	.	.	PUNCT
fumecheng-7390	148	1	81	81	NUM
fumecheng-7390	148	2	-	-	SYM
fumecheng-7390	148	3	86	86	NUM
fumecheng-7390	148	4	.	.	PUNCT
fumecheng-7390	149	1	3	3	X
fumecheng-7390	149	2	.	.	NUM
fumecheng-7390	149	3	eaves	eave	NOUN
fumecheng-7390	149	4	,	,	PUNCT
fumecheng-7390	149	5	a.	a.	PROPN
fumecheng-7390	149	6	,	,	PUNCT
fumecheng-7390	149	7	smith	smith	PROPN
fumecheng-7390	149	8	,	,	PUNCT
fumecheng-7390	149	9	a.	a.	PROPN
fumecheng-7390	149	10	,	,	PUNCT
fumecheng-7390	149	11	waterhouse	waterhouse	PROPN
fumecheng-7390	149	12	,	,	PUNCT
fumecheng-7390	149	13	w.	w.	PROPN
fumecheng-7390	149	14	,	,	PUNCT
fumecheng-7390	149	15	sansome	sansome	PROPN
fumecheng-7390	149	16	,	,	PUNCT
fumecheng-7390	149	17	d.	d.	PROPN
fumecheng-7390	149	18	,	,	PUNCT
fumecheng-7390	149	19	1975	1975	NUM
fumecheng-7390	149	20	,	,	PUNCT
fumecheng-7390	149	21	review	review	NOUN
fumecheng-7390	149	22	of	of	ADP
fumecheng-7390	149	23	the	the	DET
fumecheng-7390	149	24	application	application	NOUN
fumecheng-7390	149	25	of	of	ADP
fumecheng-7390	149	26	ultrasonic	ultrasonic	ADJ
fumecheng-7390	149	27	vibrations	vibration	NOUN
fumecheng-7390	149	28	to	to	ADP
fumecheng-7390	149	29	deforming	deform	VERB
fumecheng-7390	149	30	metals	metal	NOUN
fumecheng-7390	149	31	,	,	PUNCT
fumecheng-7390	149	32	ultrasonics	ultrasonic	NOUN
fumecheng-7390	149	33	,	,	PUNCT
fumecheng-7390	149	34	13(4	13(4	NOUN
fumecheng-7390	149	35	)	)	PUNCT
fumecheng-7390	149	36	,	,	PUNCT
fumecheng-7390	149	37	pp	pp	ADJ
fumecheng-7390	149	38	.	.	PUNCT
fumecheng-7390	150	1	162	162	NUM
fumecheng-7390	150	2	-	-	SYM
fumecheng-7390	150	3	170	170	NUM
fumecheng-7390	150	4	.	.	PUNCT
fumecheng-7390	151	1	4	4	NUM
fumecheng-7390	151	2	.	.	X
fumecheng-7390	151	3	ashida	ashida	PROPN
fumecheng-7390	151	4	,	,	PUNCT
fumecheng-7390	151	5	y.	y.	PROPN
fumecheng-7390	151	6	,	,	PUNCT
fumecheng-7390	151	7	aoyama	aoyama	PROPN
fumecheng-7390	151	8	,	,	PUNCT
fumecheng-7390	151	9	h.	h.	PROPN
fumecheng-7390	151	10	,	,	PUNCT
fumecheng-7390	151	11	2007	2007	NUM
fumecheng-7390	151	12	,	,	PUNCT
fumecheng-7390	152	1	press	press	NOUN
fumecheng-7390	152	2	forming	form	VERB
fumecheng-7390	152	3	using	use	VERB
fumecheng-7390	152	4	ultrasonic	ultrasonic	ADJ
fumecheng-7390	152	5	vibration	vibration	NOUN
fumecheng-7390	152	6	,	,	PUNCT
fumecheng-7390	152	7	journal	journal	NOUN
fumecheng-7390	152	8	of	of	ADP
fumecheng-7390	152	9	materials	material	NOUN
fumecheng-7390	152	10	processing	processing	NOUN
fumecheng-7390	152	11	technology	technology	NOUN
fumecheng-7390	152	12	,	,	PUNCT
fumecheng-7390	152	13	187	187	NUM
fumecheng-7390	152	14	,	,	PUNCT
fumecheng-7390	152	15	pp	pp	ADJ
fumecheng-7390	152	16	.	.	PUNCT
fumecheng-7390	153	1	118	118	NUM
fumecheng-7390	153	2	-	-	SYM
fumecheng-7390	153	3	122	122	NUM
fumecheng-7390	153	4	.	.	PUNCT
fumecheng-7390	154	1	5	5	NUM
fumecheng-7390	154	2	.	.	X
fumecheng-7390	154	3	pohlman	pohlman	PROPN
fumecheng-7390	154	4	,	,	PUNCT
fumecheng-7390	154	5	r.	r.	PROPN
fumecheng-7390	154	6	,	,	PUNCT
fumecheng-7390	154	7	lehfeldt	lehfeldt	PROPN
fumecheng-7390	154	8	,	,	PUNCT
fumecheng-7390	154	9	e.	e.	PROPN
fumecheng-7390	154	10	,	,	PUNCT
fumecheng-7390	154	11	1966	1966	NUM
fumecheng-7390	154	12	,	,	PUNCT
fumecheng-7390	154	13	influence	influence	NOUN
fumecheng-7390	154	14	of	of	ADP
fumecheng-7390	154	15	ultrasonic	ultrasonic	ADJ
fumecheng-7390	154	16	vibration	vibration	NOUN
fumecheng-7390	154	17	on	on	ADP
fumecheng-7390	154	18	metallic	metallic	ADJ
fumecheng-7390	154	19	friction	friction	NOUN
fumecheng-7390	154	20	,	,	PUNCT
fumecheng-7390	154	21	ultrasonics	ultrasonic	NOUN
fumecheng-7390	154	22	,	,	PUNCT
fumecheng-7390	154	23	4(4	4(4	NUM
fumecheng-7390	154	24	)	)	PUNCT
fumecheng-7390	154	25	,	,	PUNCT
fumecheng-7390	155	1	pp	pp	ADP
fumecheng-7390	155	2	.	.	PUNCT
fumecheng-7390	156	1	178	178	NUM
fumecheng-7390	156	2	-	-	SYM
fumecheng-7390	156	3	185	185	NUM
fumecheng-7390	156	4	.	.	PUNCT
fumecheng-7390	157	1	6	6	NUM
fumecheng-7390	157	2	.	.	X
fumecheng-7390	158	1	godfrey	godfrey	PROPN
fumecheng-7390	158	2	,	,	PUNCT
fumecheng-7390	158	3	d.	d.	PROPN
fumecheng-7390	158	4	,	,	PUNCT
fumecheng-7390	158	5	1967	1967	NUM
fumecheng-7390	158	6	,	,	PUNCT
fumecheng-7390	158	7	vibration	vibration	NOUN
fumecheng-7390	158	8	reduces	reduce	VERB
fumecheng-7390	158	9	metal	metal	NOUN
fumecheng-7390	158	10	to	to	PART
fumecheng-7390	158	11	metal	metal	NOUN
fumecheng-7390	158	12	contact	contact	NOUN
fumecheng-7390	158	13	and	and	CCONJ
fumecheng-7390	158	14	causes	cause	VERB
fumecheng-7390	158	15	an	an	DET
fumecheng-7390	158	16	apparent	apparent	ADJ
fumecheng-7390	158	17	reduction	reduction	NOUN
fumecheng-7390	158	18	in	in	ADP
fumecheng-7390	158	19	friction	friction	NOUN
fumecheng-7390	158	20	,	,	PUNCT
fumecheng-7390	158	21	asle	asle	NOUN
fumecheng-7390	158	22	transactions	transaction	NOUN
fumecheng-7390	158	23	,	,	PUNCT
fumecheng-7390	158	24	10(2	10(2	NUM
fumecheng-7390	158	25	)	)	PUNCT
fumecheng-7390	158	26	,	,	PUNCT
fumecheng-7390	158	27	pp	pp	PROPN
fumecheng-7390	158	28	.	.	PUNCT
fumecheng-7390	159	1	183	183	NUM
fumecheng-7390	159	2	-	-	SYM
fumecheng-7390	159	3	192	192	NUM
fumecheng-7390	159	4	.	.	PUNCT
fumecheng-7390	160	1	7	7	X
fumecheng-7390	160	2	.	.	X
fumecheng-7390	160	3	chowdhury	chowdhury	PROPN
fumecheng-7390	160	4	,	,	PUNCT
fumecheng-7390	160	5	m.a	m.a	PROPN
fumecheng-7390	160	6	.	.	PROPN
fumecheng-7390	160	7	,	,	PUNCT
fumecheng-7390	160	8	helali	helali	PROPN
fumecheng-7390	160	9	,	,	PUNCT
fumecheng-7390	160	10	m.	m.	NOUN
fumecheng-7390	160	11	,	,	PUNCT
fumecheng-7390	160	12	2008	2008	NUM
fumecheng-7390	160	13	,	,	PUNCT
fumecheng-7390	160	14	the	the	DET
fumecheng-7390	160	15	effect	effect	NOUN
fumecheng-7390	160	16	of	of	ADP
fumecheng-7390	160	17	amplitude	amplitude	NOUN
fumecheng-7390	160	18	of	of	ADP
fumecheng-7390	160	19	vibration	vibration	NOUN
fumecheng-7390	160	20	on	on	ADP
fumecheng-7390	160	21	the	the	DET
fumecheng-7390	160	22	coefficient	coefficient	NOUN
fumecheng-7390	160	23	of	of	ADP
fumecheng-7390	160	24	friction	friction	NOUN
fumecheng-7390	160	25	for	for	ADP
fumecheng-7390	160	26	different	different	ADJ
fumecheng-7390	160	27	materials	material	NOUN
fumecheng-7390	160	28	,	,	PUNCT
fumecheng-7390	160	29	tribology	tribology	NOUN
fumecheng-7390	160	30	international	international	NOUN
fumecheng-7390	160	31	,	,	PUNCT
fumecheng-7390	160	32	41(4	41(4	NUM
fumecheng-7390	160	33	)	)	PUNCT
fumecheng-7390	160	34	,	,	PUNCT
fumecheng-7390	160	35	pp	pp	ADP
fumecheng-7390	160	36	.	.	PUNCT
fumecheng-7390	161	1	307	307	NUM
fumecheng-7390	161	2	-	-	SYM
fumecheng-7390	161	3	314	314	NUM
fumecheng-7390	161	4	.	.	PUNCT
fumecheng-7390	161	5	8	8	NUM
fumecheng-7390	161	6	.	.	X
fumecheng-7390	161	7	de	de	X
fumecheng-7390	161	8	wit	wit	PROPN
fumecheng-7390	161	9	,	,	PUNCT
fumecheng-7390	161	10	c.c	c.c	PROPN
fumecheng-7390	161	11	.	.	PROPN
fumecheng-7390	161	12	,	,	PUNCT
fumecheng-7390	161	13	olsson	olsson	PROPN
fumecheng-7390	161	14	,	,	PUNCT
fumecheng-7390	161	15	h.	h.	PROPN
fumecheng-7390	161	16	,	,	PUNCT
fumecheng-7390	161	17	satrom	satrom	PROPN
fumecheng-7390	161	18	,	,	PUNCT
fumecheng-7390	161	19	k.j	k.j	PROPN
fumecheng-7390	161	20	.	.	PROPN
fumecheng-7390	161	21	,	,	PUNCT
fumecheng-7390	161	22	lischinsky	lischinsky	ADJ
fumecheng-7390	161	23	,	,	PUNCT
fumecheng-7390	161	24	p.	p.	NOUN
fumecheng-7390	161	25	,	,	PUNCT
fumecheng-7390	161	26	1995	1995	NUM
fumecheng-7390	161	27	,	,	PUNCT
fumecheng-7390	161	28	a	a	DET
fumecheng-7390	161	29	new	new	ADJ
fumecheng-7390	161	30	model	model	NOUN
fumecheng-7390	161	31	for	for	ADP
fumecheng-7390	161	32	control	control	NOUN
fumecheng-7390	161	33	of	of	ADP
fumecheng-7390	161	34	systems	system	NOUN
fumecheng-7390	161	35	with	with	ADP
fumecheng-7390	161	36	friction	friction	NOUN
fumecheng-7390	161	37	,	,	PUNCT
fumecheng-7390	161	38	ieee	ieee	NOUN
fumecheng-7390	161	39	transactions	transaction	NOUN
fumecheng-7390	161	40	on	on	ADP
fumecheng-7390	161	41	automatic	automatic	ADJ
fumecheng-7390	161	42	control	control	NOUN
fumecheng-7390	161	43	,	,	PUNCT
fumecheng-7390	161	44	40(3	40(3	NUM
fumecheng-7390	161	45	)	)	PUNCT
fumecheng-7390	161	46	,	,	PUNCT
fumecheng-7390	161	47	pp	pp	ADP
fumecheng-7390	161	48	.	.	PUNCT
fumecheng-7390	162	1	419	419	NUM
fumecheng-7390	162	2	-	-	SYM
fumecheng-7390	162	3	425	425	NUM
fumecheng-7390	162	4	.	.	NOUN
fumecheng-7390	163	1	9	9	NUM
fumecheng-7390	163	2	.	.	X
fumecheng-7390	164	1	popov	popov	PROPN
fumecheng-7390	164	2	,	,	PUNCT
fumecheng-7390	164	3	m.	m.	NOUN
fumecheng-7390	164	4	,	,	PUNCT
fumecheng-7390	164	5	popov	popov	PROPN
fumecheng-7390	164	6	,	,	PUNCT
fumecheng-7390	164	7	v.l	v.l	PROPN
fumecheng-7390	164	8	.	.	PROPN
fumecheng-7390	164	9	,	,	PUNCT
fumecheng-7390	164	10	popov	popov	PROPN
fumecheng-7390	164	11	,	,	PUNCT
fumecheng-7390	164	12	n.v	n.v	PROPN
fumecheng-7390	164	13	.	.	PROPN
fumecheng-7390	164	14	,	,	PUNCT
fumecheng-7390	164	15	2017	2017	NUM
fumecheng-7390	164	16	,	,	PUNCT
fumecheng-7390	164	17	reduction	reduction	NOUN
fumecheng-7390	164	18	of	of	ADP
fumecheng-7390	164	19	friction	friction	NOUN
fumecheng-7390	164	20	by	by	ADP
fumecheng-7390	164	21	normal	normal	ADJ
fumecheng-7390	164	22	oscillations	oscillation	NOUN
fumecheng-7390	164	23	.	.	PUNCT
fumecheng-7390	165	1	i.	i.	PROPN
fumecheng-7390	165	2	influence	influence	PROPN
fumecheng-7390	165	3	of	of	ADP
fumecheng-7390	165	4	contact	contact	NOUN
fumecheng-7390	165	5	stiffness	stiffness	NOUN
fumecheng-7390	165	6	,	,	PUNCT
fumecheng-7390	165	7	friction	friction	NOUN
fumecheng-7390	165	8	,	,	PUNCT
fumecheng-7390	165	9	5(1	5(1	NUM
fumecheng-7390	165	10	)	)	PUNCT
fumecheng-7390	165	11	,	,	PUNCT
fumecheng-7390	166	1	pp	pp	ADP
fumecheng-7390	166	2	.	.	PUNCT
fumecheng-7390	167	1	45	45	NUM
fumecheng-7390	167	2	-	-	SYM
fumecheng-7390	167	3	55	55	NUM
fumecheng-7390	167	4	.	.	PUNCT
fumecheng-7390	168	1	10	10	NUM
fumecheng-7390	168	2	.	.	PUNCT
fumecheng-7390	169	1	popov	popov	PROPN
fumecheng-7390	169	2	,	,	PUNCT
fumecheng-7390	169	3	m.	m.	NOUN
fumecheng-7390	169	4	,	,	PUNCT
fumecheng-7390	169	5	2020	2020	NUM
fumecheng-7390	169	6	,	,	PUNCT
fumecheng-7390	169	7	the	the	DET
fumecheng-7390	169	8	influence	influence	NOUN
fumecheng-7390	169	9	of	of	ADP
fumecheng-7390	169	10	vibration	vibration	NOUN
fumecheng-7390	169	11	on	on	ADP
fumecheng-7390	169	12	friction	friction	NOUN
fumecheng-7390	169	13	:	:	PUNCT
fumecheng-7390	169	14	a	a	DET
fumecheng-7390	169	15	contact	contact	NOUN
fumecheng-7390	169	16	-	-	PUNCT
fumecheng-7390	169	17	mechanical	mechanical	ADJ
fumecheng-7390	169	18	perspective	perspective	NOUN
fumecheng-7390	169	19	,	,	PUNCT
fumecheng-7390	169	20	frontiers	frontier	NOUN
fumecheng-7390	169	21	in	in	ADP
fumecheng-7390	169	22	mechanical	mechanical	ADJ
fumecheng-7390	169	23	engineering	engineering	NOUN
fumecheng-7390	169	24	,	,	PUNCT
fumecheng-7390	169	25	6	6	NUM
fumecheng-7390	169	26	,	,	PUNCT
fumecheng-7390	169	27	pp	pp	ADJ
fumecheng-7390	169	28	.	.	PUNCT
fumecheng-7390	169	29	69	69	NUM
fumecheng-7390	169	30	.	.	PUNCT