id	sid	tid	token	lemma	pos
fumecheng-1065	1	1	plane	plane	NOUN
fumecheng-1065	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-1065	1	3	waves	wave	NOUN
fumecheng-1065	1	4	in	in	ADP
fumecheng-1065	1	5	infinite	infinite	ADJ
fumecheng-1065	1	6	half	half	ADJ
fumecheng-1065	1	7	-	-	PUNCT
fumecheng-1065	1	8	space	space	NOUN
fumecheng-1065	1	9	caused	cause	VERB
fumecheng-1065	1	10	facta	facta	PROPN
fumecheng-1065	1	11	universitatis	universitatis	PROPN
fumecheng-1065	1	12	series	series	NOUN
fumecheng-1065	1	13	:	:	PUNCT
fumecheng-1065	1	14	mechanical	mechanical	ADJ
fumecheng-1065	1	15	engineering	engineering	NOUN
fumecheng-1065	1	16	vol	vol	NOUN
fumecheng-1065	1	17	.	.	PROPN
fumecheng-1065	2	1	13	13	NUM
fumecheng-1065	2	2	,	,	PUNCT
fumecheng-1065	2	3	no	no	DET
fumecheng-1065	2	4	2	2	NUM
fumecheng-1065	2	5	,	,	PUNCT
fumecheng-1065	2	6	2015	2015	NUM
fumecheng-1065	2	7	,	,	PUNCT
fumecheng-1065	2	8	pp	pp	ADV
fumecheng-1065	2	9	.	.	PUNCT
fumecheng-1065	3	1	81	81	NUM
fumecheng-1065	3	2	90	90	NUM
fumecheng-1065	3	3	1application	1application	NUM
fumecheng-1065	3	4	of	of	ADP
fumecheng-1065	3	5	the	the	DET
fumecheng-1065	3	6	method	method	NOUN
fumecheng-1065	3	7	of	of	ADP
fumecheng-1065	3	8	dimensionality	dimensionality	NOUN
fumecheng-1065	3	9	reduction	reduction	NOUN
fumecheng-1065	3	10	to	to	ADP
fumecheng-1065	3	11	contacts	contact	NOUN
fumecheng-1065	3	12	under	under	ADP
fumecheng-1065	3	13	normal	normal	ADJ
fumecheng-1065	3	14	and	and	CCONJ
fumecheng-1065	3	15	torsional	torsional	ADJ
fumecheng-1065	3	16	loading	loading	NOUN
fumecheng-1065	3	17	udc	udc	NOUN
fumecheng-1065	3	18	539.3	539.3	NUM
fumecheng-1065	3	19	emanuel	emanuel	PROPN
fumecheng-1065	3	20	willert	willert	PROPN
fumecheng-1065	3	21	1	1	NUM
fumecheng-1065	3	22	,	,	PUNCT
fumecheng-1065	3	23	markus	markus	NOUN
fumecheng-1065	3	24	hess	hess	NOUN
fumecheng-1065	3	25	1	1	NUM
fumecheng-1065	3	26	,	,	PUNCT
fumecheng-1065	3	27	valentin	valentin	PROPN
fumecheng-1065	3	28	l.	l.	PROPN
fumecheng-1065	3	29	popov	popov	PROPN
fumecheng-1065	3	30	1,2	1,2	NUM
fumecheng-1065	3	31	1	1	NUM
fumecheng-1065	3	32	berlin	berlin	PROPN
fumecheng-1065	3	33	university	university	PROPN
fumecheng-1065	3	34	of	of	ADP
fumecheng-1065	3	35	technology	technology	PROPN
fumecheng-1065	3	36	,	,	PUNCT
fumecheng-1065	3	37	germany	germany	PROPN
fumecheng-1065	3	38	2	2	NUM
fumecheng-1065	3	39	national	national	ADJ
fumecheng-1065	3	40	research	research	NOUN
fumecheng-1065	3	41	tomsk	tomsk	PROPN
fumecheng-1065	3	42	state	state	PROPN
fumecheng-1065	3	43	university	university	PROPN
fumecheng-1065	3	44	,	,	PUNCT
fumecheng-1065	3	45	russia	russia	PROPN
fumecheng-1065	3	46	abstract	abstract	NOUN
fumecheng-1065	3	47	.	.	PUNCT
fumecheng-1065	4	1	recently	recently	ADV
fumecheng-1065	4	2	the	the	DET
fumecheng-1065	4	3	method	method	NOUN
fumecheng-1065	4	4	of	of	ADP
fumecheng-1065	4	5	dimensionality	dimensionality	NOUN
fumecheng-1065	4	6	reduction	reduction	NOUN
fumecheng-1065	4	7	(	(	PUNCT
fumecheng-1065	4	8	mdr	mdr	NOUN
fumecheng-1065	4	9	)	)	PUNCT
fumecheng-1065	4	10	has	have	AUX
fumecheng-1065	4	11	been	be	AUX
fumecheng-1065	4	12	introduced	introduce	VERB
fumecheng-1065	4	13	to	to	PART
fumecheng-1065	4	14	solve	solve	VERB
fumecheng-1065	4	15	axisymmetric	axisymmetric	ADJ
fumecheng-1065	4	16	contact	contact	NOUN
fumecheng-1065	4	17	problems	problem	NOUN
fumecheng-1065	4	18	easily	easily	ADV
fumecheng-1065	4	19	and	and	CCONJ
fumecheng-1065	4	20	exactly	exactly	ADV
fumecheng-1065	4	21	.	.	PUNCT
fumecheng-1065	5	1	the	the	DET
fumecheng-1065	5	2	list	list	NOUN
fumecheng-1065	5	3	of	of	ADP
fumecheng-1065	5	4	tasks	task	NOUN
fumecheng-1065	5	5	that	that	SCONJ
fumecheng-1065	5	6	this	this	DET
fumecheng-1065	5	7	method	method	NOUN
fumecheng-1065	5	8	can	can	AUX
fumecheng-1065	5	9	deal	deal	VERB
fumecheng-1065	5	10	with	with	ADP
fumecheng-1065	5	11	comprises	comprise	NOUN
fumecheng-1065	5	12	normal	normal	ADJ
fumecheng-1065	5	13	,	,	PUNCT
fumecheng-1065	5	14	tangential	tangential	ADJ
fumecheng-1065	5	15	,	,	PUNCT
fumecheng-1065	5	16	adhesive	adhesive	ADJ
fumecheng-1065	5	17	and	and	CCONJ
fumecheng-1065	5	18	rolling	rolling	ADJ
fumecheng-1065	5	19	contacts	contact	NOUN
fumecheng-1065	5	20	with	with	ADP
fumecheng-1065	5	21	simply	simply	ADV
fumecheng-1065	5	22	connected	connected	ADJ
fumecheng-1065	5	23	contact	contact	NOUN
fumecheng-1065	5	24	areas	area	NOUN
fumecheng-1065	5	25	between	between	ADP
fumecheng-1065	5	26	elastic	elastic	ADJ
fumecheng-1065	5	27	or	or	CCONJ
fumecheng-1065	5	28	viscoelastic	viscoelastic	NOUN
fumecheng-1065	5	29	bodies	body	NOUN
fumecheng-1065	5	30	.	.	PUNCT
fumecheng-1065	6	1	due	due	ADP
fumecheng-1065	6	2	to	to	ADP
fumecheng-1065	6	3	its	its	PRON
fumecheng-1065	6	4	simplicity	simplicity	NOUN
fumecheng-1065	6	5	and	and	CCONJ
fumecheng-1065	6	6	easy	easy	ADJ
fumecheng-1065	6	7	applicability	applicability	NOUN
fumecheng-1065	6	8	the	the	DET
fumecheng-1065	6	9	mdr	mdr	PROPN
fumecheng-1065	6	10	provides	provide	VERB
fumecheng-1065	6	11	the	the	DET
fumecheng-1065	6	12	possibility	possibility	NOUN
fumecheng-1065	6	13	of	of	ADP
fumecheng-1065	6	14	fast	fast	ADJ
fumecheng-1065	6	15	and	and	CCONJ
fumecheng-1065	6	16	comprehensive	comprehensive	ADJ
fumecheng-1065	6	17	studies	study	NOUN
fumecheng-1065	6	18	of	of	ADP
fumecheng-1065	6	19	contact	contact	NOUN
fumecheng-1065	6	20	problems	problem	NOUN
fumecheng-1065	6	21	in	in	ADP
fumecheng-1065	6	22	technological	technological	ADJ
fumecheng-1065	6	23	or	or	CCONJ
fumecheng-1065	6	24	biological	biological	ADJ
fumecheng-1065	6	25	systems	system	NOUN
fumecheng-1065	6	26	,	,	PUNCT
fumecheng-1065	6	27	for	for	ADP
fumecheng-1065	6	28	example	example	NOUN
fumecheng-1065	6	29	bearings	bearing	NOUN
fumecheng-1065	6	30	,	,	PUNCT
fumecheng-1065	6	31	artificial	artificial	ADJ
fumecheng-1065	6	32	hip	hip	NOUN
fumecheng-1065	6	33	joints	joint	NOUN
fumecheng-1065	6	34	,	,	PUNCT
fumecheng-1065	6	35	wheel	wheel	NOUN
fumecheng-1065	6	36	-	-	PUNCT
fumecheng-1065	6	37	rail	rail	NOUN
fumecheng-1065	6	38	systems	system	NOUN
fumecheng-1065	6	39	or	or	CCONJ
fumecheng-1065	6	40	others	other	NOUN
fumecheng-1065	6	41	.	.	PUNCT
fumecheng-1065	7	1	within	within	ADP
fumecheng-1065	7	2	the	the	DET
fumecheng-1065	7	3	complicated	complicated	ADJ
fumecheng-1065	7	4	three	three	NUM
fumecheng-1065	7	5	-	-	PUNCT
fumecheng-1065	7	6	dimensional	dimensional	ADJ
fumecheng-1065	7	7	contact	contact	NOUN
fumecheng-1065	7	8	theory	theory	NOUN
fumecheng-1065	7	9	those	those	DET
fumecheng-1065	7	10	studies	study	NOUN
fumecheng-1065	7	11	,	,	PUNCT
fumecheng-1065	7	12	in	in	ADP
fumecheng-1065	7	13	most	most	ADJ
fumecheng-1065	7	14	cases	case	NOUN
fumecheng-1065	7	15	,	,	PUNCT
fumecheng-1065	7	16	can	can	AUX
fumecheng-1065	7	17	not	not	PART
fumecheng-1065	7	18	be	be	AUX
fumecheng-1065	7	19	done	do	VERB
fumecheng-1065	7	20	without	without	ADP
fumecheng-1065	7	21	a	a	DET
fumecheng-1065	7	22	tremendous	tremendous	ADJ
fumecheng-1065	7	23	mathematical	mathematical	ADJ
fumecheng-1065	7	24	or	or	CCONJ
fumecheng-1065	7	25	numerical	numerical	ADJ
fumecheng-1065	7	26	effort	effort	NOUN
fumecheng-1065	7	27	.	.	PUNCT
fumecheng-1065	8	1	in	in	ADP
fumecheng-1065	8	2	view	view	NOUN
fumecheng-1065	8	3	of	of	ADP
fumecheng-1065	8	4	all	all	DET
fumecheng-1065	8	5	this	this	PRON
fumecheng-1065	8	6	,	,	PUNCT
fumecheng-1065	8	7	the	the	DET
fumecheng-1065	8	8	torsional	torsional	ADJ
fumecheng-1065	8	9	contact	contact	NOUN
fumecheng-1065	8	10	problems	problem	NOUN
fumecheng-1065	8	11	have	have	AUX
fumecheng-1065	8	12	been	be	AUX
fumecheng-1065	8	13	disregarded	disregard	VERB
fumecheng-1065	8	14	until	until	ADP
fumecheng-1065	8	15	now	now	ADV
fumecheng-1065	8	16	,	,	PUNCT
fumecheng-1065	8	17	although	although	SCONJ
fumecheng-1065	8	18	it	it	PRON
fumecheng-1065	8	19	is	be	AUX
fumecheng-1065	8	20	known	know	VERB
fumecheng-1065	8	21	that	that	SCONJ
fumecheng-1065	8	22	torsion	torsion	NOUN
fumecheng-1065	8	23	is	be	AUX
fumecheng-1065	8	24	a	a	DET
fumecheng-1065	8	25	major	major	ADJ
fumecheng-1065	8	26	reason	reason	NOUN
fumecheng-1065	8	27	of	of	ADP
fumecheng-1065	8	28	wear	wear	NOUN
fumecheng-1065	8	29	and	and	CCONJ
fumecheng-1065	8	30	possible	possible	ADJ
fumecheng-1065	8	31	failure	failure	NOUN
fumecheng-1065	8	32	of	of	ADP
fumecheng-1065	8	33	system	system	NOUN
fumecheng-1065	8	34	components	component	NOUN
fumecheng-1065	8	35	.	.	PUNCT
fumecheng-1065	9	1	therefore	therefore	ADV
fumecheng-1065	9	2	,	,	PUNCT
fumecheng-1065	9	3	in	in	ADP
fumecheng-1065	9	4	the	the	DET
fumecheng-1065	9	5	present	present	ADJ
fumecheng-1065	9	6	paper	paper	NOUN
fumecheng-1065	9	7	,	,	PUNCT
fumecheng-1065	9	8	we	we	PRON
fumecheng-1065	9	9	extend	extend	VERB
fumecheng-1065	9	10	the	the	DET
fumecheng-1065	9	11	mdr	mdr	PROPN
fumecheng-1065	9	12	to	to	ADP
fumecheng-1065	9	13	contacts	contact	NOUN
fumecheng-1065	9	14	of	of	ADP
fumecheng-1065	9	15	axisymmetric	axisymmetric	ADJ
fumecheng-1065	9	16	profiles	profile	NOUN
fumecheng-1065	9	17	under	under	ADP
fumecheng-1065	9	18	superimposed	superimpose	VERB
fumecheng-1065	9	19	normal	normal	ADJ
fumecheng-1065	9	20	and	and	CCONJ
fumecheng-1065	9	21	torsional	torsional	ADJ
fumecheng-1065	9	22	loading	loading	NOUN
fumecheng-1065	9	23	.	.	PUNCT
fumecheng-1065	10	1	key	key	ADJ
fumecheng-1065	10	2	words	word	NOUN
fumecheng-1065	10	3	:	:	PUNCT
fumecheng-1065	10	4	contact	contact	NOUN
fumecheng-1065	10	5	mechanics	mechanic	NOUN
fumecheng-1065	10	6	,	,	PUNCT
fumecheng-1065	10	7	method	method	NOUN
fumecheng-1065	10	8	of	of	ADP
fumecheng-1065	10	9	dimensionality	dimensionality	NOUN
fumecheng-1065	10	10	reduction	reduction	NOUN
fumecheng-1065	10	11	,	,	PUNCT
fumecheng-1065	10	12	torsion	torsion	NOUN
fumecheng-1065	10	13	,	,	PUNCT
fumecheng-1065	10	14	friction	friction	NOUN
fumecheng-1065	10	15	,	,	PUNCT
fumecheng-1065	10	16	stick	stick	NOUN
fumecheng-1065	10	17	,	,	PUNCT
fumecheng-1065	10	18	slip	slip	VERB
fumecheng-1065	10	19	1	1	NUM
fumecheng-1065	10	20	.	.	PUNCT
fumecheng-1065	11	1	introduction	introduction	NOUN
fumecheng-1065	11	2	pure	pure	ADJ
fumecheng-1065	11	3	torsional	torsional	ADJ
fumecheng-1065	11	4	contacts	contact	NOUN
fumecheng-1065	11	5	or	or	CCONJ
fumecheng-1065	11	6	normal	normal	ADJ
fumecheng-1065	11	7	and	and	CCONJ
fumecheng-1065	11	8	torsional	torsional	ADJ
fumecheng-1065	11	9	contacts	contact	NOUN
fumecheng-1065	11	10	coupled	couple	VERB
fumecheng-1065	11	11	by	by	ADP
fumecheng-1065	11	12	friction	friction	NOUN
fumecheng-1065	11	13	were	be	AUX
fumecheng-1065	11	14	not	not	PART
fumecheng-1065	11	15	given	give	VERB
fumecheng-1065	11	16	much	much	ADJ
fumecheng-1065	11	17	attention	attention	NOUN
fumecheng-1065	11	18	in	in	ADP
fumecheng-1065	11	19	the	the	DET
fumecheng-1065	11	20	past	past	NOUN
fumecheng-1065	11	21	,	,	PUNCT
fumecheng-1065	11	22	although	although	SCONJ
fumecheng-1065	11	23	torsional	torsional	ADJ
fumecheng-1065	11	24	loading	loading	NOUN
fumecheng-1065	11	25	is	be	AUX
fumecheng-1065	11	26	known	know	VERB
fumecheng-1065	11	27	to	to	PART
fumecheng-1065	11	28	be	be	AUX
fumecheng-1065	11	29	a	a	DET
fumecheng-1065	11	30	major	major	ADJ
fumecheng-1065	11	31	reason	reason	NOUN
fumecheng-1065	11	32	of	of	ADP
fumecheng-1065	11	33	wear	wear	NOUN
fumecheng-1065	11	34	and	and	CCONJ
fumecheng-1065	11	35	fatigue	fatigue	NOUN
fumecheng-1065	11	36	.	.	PUNCT
fumecheng-1065	12	1	in	in	ADP
fumecheng-1065	12	2	[	[	X
fumecheng-1065	12	3	1	1	X
fumecheng-1065	12	4	]	]	X
fumecheng-1065	12	5	lubkin	lubkin	NOUN
fumecheng-1065	12	6	gave	give	VERB
fumecheng-1065	12	7	the	the	DET
fumecheng-1065	12	8	shear	shear	NOUN
fumecheng-1065	12	9	stress	stress	ADJ
fumecheng-1065	12	10	distribution	distribution	NOUN
fumecheng-1065	12	11	for	for	ADP
fumecheng-1065	12	12	the	the	DET
fumecheng-1065	12	13	torsional	torsional	ADJ
fumecheng-1065	12	14	contact	contact	NOUN
fumecheng-1065	12	15	between	between	ADP
fumecheng-1065	12	16	two	two	NUM
fumecheng-1065	12	17	elastic	elastic	ADJ
fumecheng-1065	12	18	spheres	sphere	NOUN
fumecheng-1065	12	19	with	with	ADP
fumecheng-1065	12	20	partial	partial	ADJ
fumecheng-1065	12	21	slip	slip	NOUN
fumecheng-1065	12	22	.	.	PUNCT
fumecheng-1065	13	1	hetényi	hetényi	NOUN
fumecheng-1065	13	2	and	and	CCONJ
fumecheng-1065	13	3	mcdonald	mcdonald	PROPN
fumecheng-1065	13	4	jr	jr	PROPN
fumecheng-1065	13	5	.	.	PROPN
fumecheng-1065	13	6	calculated	calculate	VERB
fumecheng-1065	13	7	the	the	DET
fumecheng-1065	13	8	stresses	stress	NOUN
fumecheng-1065	13	9	and	and	CCONJ
fumecheng-1065	13	10	displacements	displacement	NOUN
fumecheng-1065	13	11	for	for	ADP
fumecheng-1065	13	12	the	the	DET
fumecheng-1065	13	13	full	full	ADV
fumecheng-1065	13	14	-	-	PUNCT
fumecheng-1065	13	15	sliding	slide	VERB
fumecheng-1065	13	16	contact	contact	NOUN
fumecheng-1065	13	17	between	between	ADP
fumecheng-1065	13	18	an	an	DET
fumecheng-1065	13	19	elastic	elastic	ADJ
fumecheng-1065	13	20	sphere	sphere	NOUN
fumecheng-1065	13	21	and	and	CCONJ
fumecheng-1065	13	22	an	an	DET
fumecheng-1065	13	23	elastic	elastic	ADJ
fumecheng-1065	13	24	halfspace	halfspace	NOUN
fumecheng-1065	13	25	using	use	VERB
fumecheng-1065	13	26	hankel	hankel	NOUN
fumecheng-1065	13	27	transforms	transform	VERB
fumecheng-1065	13	28	[	[	X
fumecheng-1065	13	29	2	2	NUM
fumecheng-1065	13	30	]	]	PUNCT
fumecheng-1065	13	31	.	.	PUNCT
fumecheng-1065	14	1	also	also	ADV
fumecheng-1065	14	2	based	base	VERB
fumecheng-1065	14	3	on	on	ADP
fumecheng-1065	14	4	hankel	hankel	NOUN
fumecheng-1065	14	5	transforms	transform	VERB
fumecheng-1065	14	6	,	,	PUNCT
fumecheng-1065	14	7	i.e.	i.e.	X
fumecheng-1065	14	8	bessel	bessel	ADJ
fumecheng-1065	14	9	functions	function	NOUN
fumecheng-1065	14	10	,	,	PUNCT
fumecheng-1065	14	11	kartal	kartal	PROPN
fumecheng-1065	14	12	received	receive	VERB
fumecheng-1065	14	13	may	may	PROPN
fumecheng-1065	14	14	29	29	NUM
fumecheng-1065	14	15	,	,	PUNCT
fumecheng-1065	14	16	2015	2015	NUM
fumecheng-1065	14	17	/	/	SYM
fumecheng-1065	14	18	accepted	accept	VERB
fumecheng-1065	14	19	july	july	PROPN
fumecheng-1065	14	20	1	1	NUM
fumecheng-1065	14	21	,	,	PUNCT
fumecheng-1065	14	22	2015	2015	NUM
fumecheng-1065	14	23	corresponding	correspond	VERB
fumecheng-1065	14	24	author	author	NOUN
fumecheng-1065	14	25	:	:	PUNCT
fumecheng-1065	14	26	emanuel	emanuel	PROPN
fumecheng-1065	14	27	willert	willert	PROPN
fumecheng-1065	14	28	technische	technische	PROPN
fumecheng-1065	14	29	universität	universität	PROPN
fumecheng-1065	14	30	berlin	berlin	PROPN
fumecheng-1065	14	31	,	,	PUNCT
fumecheng-1065	14	32	institut	institut	PROPN
fumecheng-1065	14	33	für	für	PROPN
fumecheng-1065	14	34	mechanik	mechanik	PROPN
fumecheng-1065	14	35	,	,	PUNCT
fumecheng-1065	14	36	str	str	X
fumecheng-1065	14	37	.	.	PUNCT
fumecheng-1065	15	1	des	des	PROPN
fumecheng-1065	15	2	17	17	NUM
fumecheng-1065	15	3	.	.	PUNCT
fumecheng-1065	16	1	juni	juni	PROPN
fumecheng-1065	16	2	135	135	NUM
fumecheng-1065	16	3	,	,	PUNCT
fumecheng-1065	16	4	10623	10623	NUM
fumecheng-1065	16	5	berlin	berlin	PROPN
fumecheng-1065	16	6	,	,	PUNCT
fumecheng-1065	16	7	germany	germany	PROPN
fumecheng-1065	16	8	e	e	PROPN
fumecheng-1065	16	9	-	-	NOUN
fumecheng-1065	16	10	mail	mail	NOUN
fumecheng-1065	16	11	:	:	PUNCT
fumecheng-1065	16	12	e.willert@tu-berlin.de	e.willert@tu-berlin.de	NUM
fumecheng-1065	16	13	original	original	ADJ
fumecheng-1065	16	14	scientific	scientific	ADJ
fumecheng-1065	16	15	paper	paper	NOUN
fumecheng-1065	16	16	82	82	NUM
fumecheng-1065	16	17	e.	e.	PROPN
fumecheng-1065	16	18	willert	willert	PROPN
fumecheng-1065	16	19	,	,	PUNCT
fumecheng-1065	16	20	m.	m.	NOUN
fumecheng-1065	16	21	hess	hess	PROPN
fumecheng-1065	16	22	,	,	PUNCT
fumecheng-1065	16	23	v.l	v.l	PROPN
fumecheng-1065	16	24	.	.	PROPN
fumecheng-1065	16	25	popov	popov	PROPN
fumecheng-1065	16	26	et	et	PROPN
fumecheng-1065	16	27	al	al	PROPN
fumecheng-1065	16	28	.	.	PROPN
fumecheng-1065	16	29	analyzed	analyze	VERB
fumecheng-1065	16	30	the	the	DET
fumecheng-1065	16	31	torsional	torsional	ADJ
fumecheng-1065	16	32	contact	contact	NOUN
fumecheng-1065	16	33	with	with	ADP
fumecheng-1065	16	34	partial	partial	ADJ
fumecheng-1065	16	35	slip	slip	NOUN
fumecheng-1065	16	36	between	between	ADP
fumecheng-1065	16	37	flat	flat	ADV
fumecheng-1065	16	38	-	-	PUNCT
fumecheng-1065	16	39	ended	end	VERB
fumecheng-1065	16	40	elastic	elastic	ADJ
fumecheng-1065	16	41	cylinders	cylinder	NOUN
fumecheng-1065	16	42	[	[	X
fumecheng-1065	16	43	3	3	NUM
fumecheng-1065	16	44	]	]	PUNCT
fumecheng-1065	16	45	.	.	PUNCT
fumecheng-1065	17	1	jäger	jäger	PROPN
fumecheng-1065	17	2	determined	determine	VERB
fumecheng-1065	17	3	the	the	DET
fumecheng-1065	17	4	stress	stress	NOUN
fumecheng-1065	17	5	distributions	distribution	NOUN
fumecheng-1065	17	6	in	in	ADP
fumecheng-1065	17	7	the	the	DET
fumecheng-1065	17	8	form	form	NOUN
fumecheng-1065	17	9	of	of	ADP
fumecheng-1065	17	10	abel	abel	PROPN
fumecheng-1065	17	11	transforms	transform	VERB
fumecheng-1065	17	12	for	for	ADP
fumecheng-1065	17	13	the	the	DET
fumecheng-1065	17	14	torsional	torsional	ADJ
fumecheng-1065	17	15	contact	contact	NOUN
fumecheng-1065	17	16	with	with	ADP
fumecheng-1065	17	17	partial	partial	ADJ
fumecheng-1065	17	18	slip	slip	NOUN
fumecheng-1065	17	19	between	between	ADP
fumecheng-1065	17	20	axisymmetric	axisymmetric	ADJ
fumecheng-1065	17	21	bodies	body	NOUN
fumecheng-1065	17	22	of	of	ADP
fumecheng-1065	17	23	arbitrary	arbitrary	ADJ
fumecheng-1065	17	24	profile	profile	NOUN
fumecheng-1065	17	25	shape	shape	NOUN
fumecheng-1065	17	26	[	[	X
fumecheng-1065	17	27	4	4	NUM
fumecheng-1065	17	28	]	]	PUNCT
fumecheng-1065	17	29	.	.	PUNCT
fumecheng-1065	18	1	he	he	PRON
fumecheng-1065	18	2	thereby	thereby	ADV
fumecheng-1065	18	3	used	use	VERB
fumecheng-1065	18	4	a	a	DET
fumecheng-1065	18	5	superposition	superposition	NOUN
fumecheng-1065	18	6	of	of	ADP
fumecheng-1065	18	7	flat	flat	ADJ
fumecheng-1065	18	8	-	-	PUNCT
fumecheng-1065	18	9	punch	punch	NOUN
fumecheng-1065	18	10	-	-	PUNCT
fumecheng-1065	18	11	solutions	solution	NOUN
fumecheng-1065	18	12	to	to	PART
fumecheng-1065	18	13	solve	solve	VERB
fumecheng-1065	18	14	the	the	DET
fumecheng-1065	18	15	contact	contact	NOUN
fumecheng-1065	18	16	problem	problem	NOUN
fumecheng-1065	18	17	of	of	ADP
fumecheng-1065	18	18	arbitrarily	arbitrarily	ADV
fumecheng-1065	18	19	shaped	shape	VERB
fumecheng-1065	18	20	bodies	body	NOUN
fumecheng-1065	18	21	.	.	PUNCT
fumecheng-1065	19	1	in	in	ADP
fumecheng-1065	19	2	the	the	DET
fumecheng-1065	19	3	experimental	experimental	ADJ
fumecheng-1065	19	4	work	work	NOUN
fumecheng-1065	19	5	[	[	X
fumecheng-1065	19	6	5	5	X
fumecheng-1065	19	7	]	]	PUNCT
fumecheng-1065	19	8	trejo	trejo	PROPN
fumecheng-1065	19	9	et	et	PROPN
fumecheng-1065	19	10	al	al	PROPN
fumecheng-1065	19	11	.	.	PROPN
fumecheng-1065	19	12	investigated	investigate	VERB
fumecheng-1065	19	13	the	the	DET
fumecheng-1065	19	14	friction	friction	NOUN
fumecheng-1065	19	15	between	between	ADP
fumecheng-1065	19	16	an	an	DET
fumecheng-1065	19	17	elastomer	elastomer	NOUN
fumecheng-1065	19	18	and	and	CCONJ
fumecheng-1065	19	19	a	a	DET
fumecheng-1065	19	20	randomly	randomly	ADV
fumecheng-1065	19	21	rough	rough	ADJ
fumecheng-1065	19	22	surface	surface	NOUN
fumecheng-1065	19	23	using	use	VERB
fumecheng-1065	19	24	a	a	DET
fumecheng-1065	19	25	torsional	torsional	ADJ
fumecheng-1065	19	26	contact	contact	NOUN
fumecheng-1065	19	27	configuration	configuration	NOUN
fumecheng-1065	19	28	.	.	PUNCT
fumecheng-1065	20	1	in	in	ADP
fumecheng-1065	20	2	a	a	DET
fumecheng-1065	20	3	series	series	NOUN
fumecheng-1065	20	4	of	of	ADP
fumecheng-1065	20	5	recent	recent	ADJ
fumecheng-1065	20	6	papers	paper	NOUN
fumecheng-1065	20	7	,	,	PUNCT
fumecheng-1065	20	8	popov	popov	PROPN
fumecheng-1065	20	9	and	and	CCONJ
fumecheng-1065	20	10	collaborators	collaborator	NOUN
fumecheng-1065	20	11	have	have	AUX
fumecheng-1065	20	12	introduced	introduce	VERB
fumecheng-1065	20	13	the	the	DET
fumecheng-1065	20	14	so	so	ADV
fumecheng-1065	20	15	-	-	PUNCT
fumecheng-1065	20	16	called	call	VERB
fumecheng-1065	20	17	method	method	NOUN
fumecheng-1065	20	18	of	of	ADP
fumecheng-1065	20	19	dimensionality	dimensionality	NOUN
fumecheng-1065	20	20	reduction	reduction	NOUN
fumecheng-1065	20	21	(	(	PUNCT
fumecheng-1065	20	22	mdr	mdr	PROPN
fumecheng-1065	20	23	)	)	PUNCT
fumecheng-1065	20	24	,	,	PUNCT
fumecheng-1065	20	25	which	which	PRON
fumecheng-1065	20	26	allows	allow	VERB
fumecheng-1065	20	27	solving	solve	VERB
fumecheng-1065	20	28	normal	normal	ADJ
fumecheng-1065	20	29	contact	contact	NOUN
fumecheng-1065	20	30	problems	problem	NOUN
fumecheng-1065	20	31	of	of	ADP
fumecheng-1065	20	32	axisymmetric	axisymmetric	ADJ
fumecheng-1065	20	33	elastic	elastic	ADJ
fumecheng-1065	20	34	and	and	CCONJ
fumecheng-1065	20	35	viscoelastic	viscoelastic	ADJ
fumecheng-1065	20	36	bodies	body	NOUN
fumecheng-1065	20	37	as	as	ADV
fumecheng-1065	20	38	well	well	ADV
fumecheng-1065	20	39	as	as	ADP
fumecheng-1065	20	40	tangential	tangential	ADJ
fumecheng-1065	20	41	contact	contact	NOUN
fumecheng-1065	20	42	problems	problem	NOUN
fumecheng-1065	20	43	with	with	ADP
fumecheng-1065	20	44	a	a	DET
fumecheng-1065	20	45	constant	constant	ADJ
fumecheng-1065	20	46	coefficient	coefficient	NOUN
fumecheng-1065	20	47	of	of	ADP
fumecheng-1065	20	48	friction	friction	NOUN
fumecheng-1065	20	49	for	for	ADP
fumecheng-1065	20	50	arbitrary	arbitrary	ADJ
fumecheng-1065	20	51	loading	loading	NOUN
fumecheng-1065	20	52	histories	history	NOUN
fumecheng-1065	20	53	[	[	X
fumecheng-1065	20	54	6	6	NUM
fumecheng-1065	20	55	,	,	PUNCT
fumecheng-1065	20	56	7	7	NUM
fumecheng-1065	20	57	]	]	PUNCT
fumecheng-1065	20	58	.	.	PUNCT
fumecheng-1065	21	1	in	in	ADP
fumecheng-1065	21	2	the	the	DET
fumecheng-1065	21	3	monographs	monograph	NOUN
fumecheng-1065	21	4	[	[	X
fumecheng-1065	21	5	8	8	NUM
fumecheng-1065	21	6	]	]	PUNCT
fumecheng-1065	21	7	and	and	CCONJ
fumecheng-1065	21	8	[	[	X
fumecheng-1065	21	9	9	9	NUM
fumecheng-1065	21	10	]	]	PUNCT
fumecheng-1065	21	11	,	,	PUNCT
fumecheng-1065	21	12	the	the	DET
fumecheng-1065	21	13	mdr	mdr	PROPN
fumecheng-1065	21	14	has	have	AUX
fumecheng-1065	21	15	been	be	AUX
fumecheng-1065	21	16	summarized	summarize	VERB
fumecheng-1065	21	17	and	and	CCONJ
fumecheng-1065	21	18	many	many	ADJ
fumecheng-1065	21	19	applications	application	NOUN
fumecheng-1065	21	20	have	have	AUX
fumecheng-1065	21	21	been	be	AUX
fumecheng-1065	21	22	provided	provide	VERB
fumecheng-1065	21	23	.	.	PUNCT
fumecheng-1065	22	1	moreover	moreover	ADV
fumecheng-1065	22	2	,	,	PUNCT
fumecheng-1065	22	3	an	an	DET
fumecheng-1065	22	4	introduction	introduction	NOUN
fumecheng-1065	22	5	into	into	ADP
fumecheng-1065	22	6	its	its	PRON
fumecheng-1065	22	7	usage	usage	NOUN
fumecheng-1065	22	8	in	in	ADP
fumecheng-1065	22	9	the	the	DET
fumecheng-1065	22	10	form	form	NOUN
fumecheng-1065	22	11	of	of	ADP
fumecheng-1065	22	12	a	a	DET
fumecheng-1065	22	13	user	user	NOUN
fumecheng-1065	22	14	's	's	PART
fumecheng-1065	22	15	handbook	handbook	NOUN
fumecheng-1065	22	16	can	can	AUX
fumecheng-1065	22	17	be	be	AUX
fumecheng-1065	22	18	found	find	VERB
fumecheng-1065	22	19	in	in	ADP
fumecheng-1065	22	20	[	[	X
fumecheng-1065	22	21	10	10	NUM
fumecheng-1065	22	22	]	]	PUNCT
fumecheng-1065	22	23	.	.	PUNCT
fumecheng-1065	23	1	in	in	ADP
fumecheng-1065	23	2	the	the	DET
fumecheng-1065	23	3	present	present	ADJ
fumecheng-1065	23	4	paper	paper	NOUN
fumecheng-1065	23	5	,	,	PUNCT
fumecheng-1065	23	6	we	we	PRON
fumecheng-1065	23	7	are	be	AUX
fumecheng-1065	23	8	showing	show	VERB
fumecheng-1065	23	9	that	that	SCONJ
fumecheng-1065	23	10	the	the	DET
fumecheng-1065	23	11	contact	contact	NOUN
fumecheng-1065	23	12	with	with	ADP
fumecheng-1065	23	13	torsion	torsion	NOUN
fumecheng-1065	23	14	(	(	PUNCT
fumecheng-1065	23	15	rotation	rotation	NOUN
fumecheng-1065	23	16	around	around	ADP
fumecheng-1065	23	17	the	the	DET
fumecheng-1065	23	18	normal	normal	ADJ
fumecheng-1065	23	19	axis	axis	NOUN
fumecheng-1065	23	20	to	to	ADP
fumecheng-1065	23	21	the	the	DET
fumecheng-1065	23	22	contact	contact	NOUN
fumecheng-1065	23	23	plane	plane	NOUN
fumecheng-1065	23	24	)	)	PUNCT
fumecheng-1065	23	25	can	can	AUX
fumecheng-1065	23	26	also	also	ADV
fumecheng-1065	23	27	be	be	AUX
fumecheng-1065	23	28	described	describe	VERB
fumecheng-1065	23	29	with	with	ADP
fumecheng-1065	23	30	the	the	DET
fumecheng-1065	23	31	mdr	mdr	PROPN
fumecheng-1065	23	32	as	as	ADV
fumecheng-1065	23	33	long	long	ADV
fumecheng-1065	23	34	as	as	SCONJ
fumecheng-1065	23	35	there	there	PRON
fumecheng-1065	23	36	is	be	VERB
fumecheng-1065	23	37	no	no	DET
fumecheng-1065	23	38	slip	slip	NOUN
fumecheng-1065	23	39	in	in	ADP
fumecheng-1065	23	40	the	the	DET
fumecheng-1065	23	41	contact	contact	NOUN
fumecheng-1065	23	42	or	or	CCONJ
fumecheng-1065	23	43	the	the	DET
fumecheng-1065	23	44	thickness	thickness	NOUN
fumecheng-1065	23	45	of	of	ADP
fumecheng-1065	23	46	the	the	DET
fumecheng-1065	23	47	slip	slip	NOUN
fumecheng-1065	23	48	annulus	annulus	NOUN
fumecheng-1065	23	49	at	at	ADP
fumecheng-1065	23	50	the	the	DET
fumecheng-1065	23	51	edge	edge	NOUN
fumecheng-1065	23	52	of	of	ADP
fumecheng-1065	23	53	the	the	DET
fumecheng-1065	23	54	contact	contact	NOUN
fumecheng-1065	23	55	is	be	AUX
fumecheng-1065	23	56	small	small	ADJ
fumecheng-1065	23	57	compared	compare	VERB
fumecheng-1065	23	58	to	to	ADP
fumecheng-1065	23	59	the	the	DET
fumecheng-1065	23	60	contact	contact	NOUN
fumecheng-1065	23	61	radius	radius	NOUN
fumecheng-1065	23	62	.	.	PUNCT
fumecheng-1065	24	1	the	the	DET
fumecheng-1065	24	2	paper	paper	NOUN
fumecheng-1065	24	3	is	be	AUX
fumecheng-1065	24	4	organized	organize	VERB
fumecheng-1065	24	5	as	as	SCONJ
fumecheng-1065	24	6	follows	follow	VERB
fumecheng-1065	24	7	:	:	PUNCT
fumecheng-1065	24	8	in	in	ADP
fumecheng-1065	24	9	the	the	DET
fumecheng-1065	24	10	section	section	NOUN
fumecheng-1065	24	11	2	2	NUM
fumecheng-1065	24	12	we	we	PRON
fumecheng-1065	24	13	reproduce	reproduce	VERB
fumecheng-1065	24	14	,	,	PUNCT
fumecheng-1065	24	15	for	for	ADP
fumecheng-1065	24	16	convenience	convenience	NOUN
fumecheng-1065	24	17	of	of	ADP
fumecheng-1065	24	18	the	the	DET
fumecheng-1065	24	19	reader	reader	NOUN
fumecheng-1065	24	20	,	,	PUNCT
fumecheng-1065	24	21	the	the	DET
fumecheng-1065	24	22	derivation	derivation	NOUN
fumecheng-1065	24	23	of	of	ADP
fumecheng-1065	24	24	the	the	DET
fumecheng-1065	24	25	mdr	mdr	PROPN
fumecheng-1065	24	26	equations	equation	NOUN
fumecheng-1065	24	27	for	for	ADP
fumecheng-1065	24	28	the	the	DET
fumecheng-1065	24	29	normal	normal	ADJ
fumecheng-1065	24	30	contact	contact	NOUN
fumecheng-1065	24	31	following	follow	VERB
fumecheng-1065	24	32	[	[	X
fumecheng-1065	24	33	9	9	NUM
fumecheng-1065	24	34	]	]	PUNCT
fumecheng-1065	24	35	.	.	PUNCT
fumecheng-1065	25	1	in	in	ADP
fumecheng-1065	25	2	the	the	DET
fumecheng-1065	25	3	section	section	NOUN
fumecheng-1065	25	4	3	3	NUM
fumecheng-1065	25	5	the	the	DET
fumecheng-1065	25	6	application	application	NOUN
fumecheng-1065	25	7	of	of	ADP
fumecheng-1065	25	8	the	the	DET
fumecheng-1065	25	9	mdr	mdr	PROPN
fumecheng-1065	25	10	to	to	ADP
fumecheng-1065	25	11	contacts	contact	NOUN
fumecheng-1065	25	12	with	with	ADP
fumecheng-1065	25	13	torsion	torsion	NOUN
fumecheng-1065	25	14	without	without	ADP
fumecheng-1065	25	15	slip	slip	NOUN
fumecheng-1065	25	16	is	be	AUX
fumecheng-1065	25	17	discussed	discuss	VERB
fumecheng-1065	25	18	.	.	PUNCT
fumecheng-1065	26	1	in	in	ADP
fumecheng-1065	26	2	the	the	DET
fumecheng-1065	26	3	section	section	NOUN
fumecheng-1065	26	4	4	4	NUM
fumecheng-1065	26	5	the	the	DET
fumecheng-1065	26	6	torsional	torsional	ADJ
fumecheng-1065	26	7	contact	contact	NOUN
fumecheng-1065	26	8	with	with	ADP
fumecheng-1065	26	9	a	a	DET
fumecheng-1065	26	10	narrow	narrow	ADJ
fumecheng-1065	26	11	slip	slip	NOUN
fumecheng-1065	26	12	region	region	NOUN
fumecheng-1065	26	13	is	be	AUX
fumecheng-1065	26	14	considered	consider	VERB
fumecheng-1065	26	15	.	.	PUNCT
fumecheng-1065	27	1	section	section	NOUN
fumecheng-1065	27	2	5	5	NUM
fumecheng-1065	27	3	closes	close	VERB
fumecheng-1065	27	4	the	the	DET
fumecheng-1065	27	5	paper	paper	NOUN
fumecheng-1065	27	6	.	.	PUNCT
fumecheng-1065	28	1	2	2	X
fumecheng-1065	28	2	.	.	X
fumecheng-1065	28	3	method	method	NOUN
fumecheng-1065	28	4	of	of	ADP
fumecheng-1065	28	5	dimensionality	dimensionality	NOUN
fumecheng-1065	28	6	reduction	reduction	NOUN
fumecheng-1065	28	7	for	for	ADP
fumecheng-1065	28	8	the	the	DET
fumecheng-1065	28	9	normal	normal	ADJ
fumecheng-1065	28	10	contact	contact	NOUN
fumecheng-1065	28	11	in	in	ADP
fumecheng-1065	28	12	this	this	DET
fumecheng-1065	28	13	section	section	NOUN
fumecheng-1065	28	14	,	,	PUNCT
fumecheng-1065	28	15	the	the	DET
fumecheng-1065	28	16	equations	equation	NOUN
fumecheng-1065	28	17	of	of	ADP
fumecheng-1065	28	18	the	the	DET
fumecheng-1065	28	19	mdr	mdr	PROPN
fumecheng-1065	28	20	for	for	ADP
fumecheng-1065	28	21	the	the	DET
fumecheng-1065	28	22	normal	normal	ADJ
fumecheng-1065	28	23	contact	contact	NOUN
fumecheng-1065	28	24	of	of	ADP
fumecheng-1065	28	25	axisymmetric	axisymmetric	ADJ
fumecheng-1065	28	26	profiles	profile	NOUN
fumecheng-1065	28	27	f	f	X
fumecheng-1065	28	28	(	(	PUNCT
fumecheng-1065	28	29	r	r	NOUN
fumecheng-1065	28	30	)	)	PUNCT
fumecheng-1065	28	31	with	with	ADP
fumecheng-1065	28	32	a	a	DET
fumecheng-1065	28	33	compact	compact	ADJ
fumecheng-1065	28	34	area	area	NOUN
fumecheng-1065	28	35	of	of	ADP
fumecheng-1065	28	36	contact	contact	NOUN
fumecheng-1065	28	37	are	be	AUX
fumecheng-1065	28	38	deduced	deduce	VERB
fumecheng-1065	28	39	.	.	PUNCT
fumecheng-1065	29	1	thereby	thereby	ADV
fumecheng-1065	29	2	we	we	PRON
fumecheng-1065	29	3	follow	follow	VERB
fumecheng-1065	29	4	the	the	DET
fumecheng-1065	29	5	idea	idea	NOUN
fumecheng-1065	29	6	of	of	ADP
fumecheng-1065	29	7	jäger	jäger	NOUN
fumecheng-1065	30	1	[	[	X
fumecheng-1065	30	2	11	11	NUM
fumecheng-1065	30	3	]	]	PUNCT
fumecheng-1065	30	4	to	to	PART
fumecheng-1065	30	5	derive	derive	VERB
fumecheng-1065	30	6	the	the	DET
fumecheng-1065	30	7	solution	solution	NOUN
fumecheng-1065	30	8	of	of	ADP
fumecheng-1065	30	9	an	an	DET
fumecheng-1065	30	10	axisymmetric	axisymmetric	ADJ
fumecheng-1065	30	11	contact	contact	NOUN
fumecheng-1065	30	12	problem	problem	NOUN
fumecheng-1065	30	13	by	by	ADP
fumecheng-1065	30	14	summation	summation	NOUN
fumecheng-1065	30	15	of	of	ADP
fumecheng-1065	30	16	differential	differential	ADJ
fumecheng-1065	30	17	flat	flat	ADJ
fumecheng-1065	30	18	punch	punch	NOUN
fumecheng-1065	30	19	solutions	solution	NOUN
fumecheng-1065	30	20	.	.	PUNCT
fumecheng-1065	31	1	a	a	DET
fumecheng-1065	31	2	flat	flat	ADJ
fumecheng-1065	31	3	punch	punch	NOUN
fumecheng-1065	31	4	of	of	ADP
fumecheng-1065	31	5	radius	radius	NOUN
fumecheng-1065	31	6	a	a	PRON
fumecheng-1065	31	7	,	,	PUNCT
fumecheng-1065	31	8	indenting	indent	VERB
fumecheng-1065	31	9	an	an	DET
fumecheng-1065	31	10	elastic	elastic	ADJ
fumecheng-1065	31	11	half	half	NOUN
fumecheng-1065	31	12	space	space	NOUN
fumecheng-1065	31	13	with	with	ADP
fumecheng-1065	31	14	effective	effective	ADJ
fumecheng-1065	31	15	elastic	elastic	ADJ
fumecheng-1065	31	16	modulus	modulus	NOUN
fumecheng-1065	31	17	e	e	NOUN
fumecheng-1065	31	18	*	*	PUNCT
fumecheng-1065	31	19	by	by	ADP
fumecheng-1065	31	20	indentation	indentation	NOUN
fumecheng-1065	31	21	depth	depth	NOUN
fumecheng-1065	31	22	d	d	NOUN
fumecheng-1065	31	23	,	,	PUNCT
fumecheng-1065	31	24	produces	produce	VERB
fumecheng-1065	31	25	displacement	displacement	ADJ
fumecheng-1065	31	26	uz	uz	NOUN
fumecheng-1065	31	27	,	,	PUNCT
fumecheng-1065	31	28	2	2	NUM
fumecheng-1065	31	29	arcsin	arcsin	PROPN
fumecheng-1065	31	30	(	(	PUNCT
fumecheng-1065	31	31	/	/	SYM
fumecheng-1065	31	32	)	)	PUNCT
fumecheng-1065	31	33	,	,	PUNCT
fumecheng-1065	31	34	z	z	NOUN
fumecheng-1065	32	1	d	d	X
fumecheng-1065	32	2	r	r	NOUN
fumecheng-1065	32	3	a	a	DET
fumecheng-1065	32	4	u	u	NOUN
fumecheng-1065	32	5	d	d	NOUN
fumecheng-1065	32	6	a	a	DET
fumecheng-1065	32	7	r	r	NOUN
fumecheng-1065	32	8	r	r	NOUN
fumecheng-1065	32	9	a	a	DET
fumecheng-1065	32	10			ADJ
fumecheng-1065	32	11			NOUN
fumecheng-1065	32	12			NUM
fumecheng-1065	32	13			NOUN
fumecheng-1065	32	14			NUM
fumecheng-1065	32	15			PROPN
fumecheng-1065	32	16			PUNCT
fumecheng-1065	32	17			PROPN
fumecheng-1065	32	18	.	.	PUNCT
fumecheng-1065	33	1	(	(	PUNCT
fumecheng-1065	33	2	1	1	X
fumecheng-1065	33	3	)	)	PUNCT
fumecheng-1065	33	4	the	the	DET
fumecheng-1065	33	5	resulting	result	VERB
fumecheng-1065	33	6	pressure	pressure	NOUN
fumecheng-1065	33	7	distribution	distribution	NOUN
fumecheng-1065	33	8	will	will	AUX
fumecheng-1065	33	9	be	be	AUX
fumecheng-1065	33	10	*	*	PUNCT
fumecheng-1065	33	11	2	2	NUM
fumecheng-1065	33	12	2	2	NUM
fumecheng-1065	33	13	1	1	NUM
fumecheng-1065	33	14	,	,	PUNCT
fumecheng-1065	33	15	(	(	PUNCT
fumecheng-1065	33	16	)	)	PUNCT
fumecheng-1065	33	17	0	0	NUM
fumecheng-1065	33	18	,	,	PUNCT
fumecheng-1065	33	19	e	e	X
fumecheng-1065	33	20	d	d	AUX
fumecheng-1065	33	21	r	r	VERB
fumecheng-1065	33	22	a	a	DET
fumecheng-1065	33	23	p	p	NOUN
fumecheng-1065	33	24	r	r	NOUN
fumecheng-1065	33	25	a	a	DET
fumecheng-1065	33	26	r	r	NOUN
fumecheng-1065	33	27	r	r	NOUN
fumecheng-1065	33	28	a	a	DET
fumecheng-1065	33	29			NOUN
fumecheng-1065	33	30			NOUN
fumecheng-1065	33	31			PROPN
fumecheng-1065	33	32			NUM
fumecheng-1065	34	1			NUM
fumecheng-1065	34	2			NOUN
fumecheng-1065	34	3			NUM
fumecheng-1065	34	4			NOUN
fumecheng-1065	34	5	(	(	PUNCT
fumecheng-1065	34	6	2	2	NUM
fumecheng-1065	34	7	)	)	PUNCT
fumecheng-1065	34	8	and	and	CCONJ
fumecheng-1065	34	9	the	the	DET
fumecheng-1065	34	10	total	total	ADJ
fumecheng-1065	34	11	normal	normal	ADJ
fumecheng-1065	34	12	force	force	NOUN
fumecheng-1065	34	13	*	*	NOUN
fumecheng-1065	34	14	2nf	2nf	NOUN
fumecheng-1065	34	15	e	e	NOUN
fumecheng-1065	34	16	ad	ad	VERB
fumecheng-1065	34	17	.	.	PUNCT
fumecheng-1065	35	1	(	(	PUNCT
fumecheng-1065	35	2	3	3	X
fumecheng-1065	35	3	)	)	PUNCT
fumecheng-1065	35	4	hence	hence	ADV
fumecheng-1065	35	5	,	,	PUNCT
fumecheng-1065	35	6	contact	contact	NOUN
fumecheng-1065	35	7	stiffness	stiffness	NOUN
fumecheng-1065	35	8	kz	kz	PROPN
fumecheng-1065	35	9	is	be	AUX
fumecheng-1065	35	10	*	*	PUNCT
fumecheng-1065	35	11	d	d	NOUN
fumecheng-1065	35	12	(	(	PUNCT
fumecheng-1065	35	13	)	)	PUNCT
fumecheng-1065	35	14	2	2	NUM
fumecheng-1065	35	15	d	d	NOUN
fumecheng-1065	35	16	n	n	PROPN
fumecheng-1065	35	17	z	z	NOUN
fumecheng-1065	35	18	f	f	PROPN
fumecheng-1065	36	1	k	k	PROPN
fumecheng-1065	36	2	a	a	X
fumecheng-1065	36	3	e	e	X
fumecheng-1065	36	4	a	a	X
fumecheng-1065	36	5	d	d	NOUN
fumecheng-1065	36	6			NOUN
fumecheng-1065	36	7			NOUN
fumecheng-1065	36	8	.	.	PUNCT
fumecheng-1065	37	1	(	(	PUNCT
fumecheng-1065	37	2	4	4	X
fumecheng-1065	37	3	)	)	PUNCT
fumecheng-1065	37	4	note	note	NOUN
fumecheng-1065	37	5	that	that	SCONJ
fumecheng-1065	37	6	this	this	DET
fumecheng-1065	37	7	equation	equation	NOUN
fumecheng-1065	37	8	is	be	AUX
fumecheng-1065	37	9	valid	valid	ADJ
fumecheng-1065	37	10	for	for	ADP
fumecheng-1065	37	11	any	any	DET
fumecheng-1065	37	12	profile	profile	NOUN
fumecheng-1065	37	13	shape	shape	NOUN
fumecheng-1065	37	14	,	,	PUNCT
fumecheng-1065	37	15	if	if	SCONJ
fumecheng-1065	37	16	a	a	PRON
fumecheng-1065	37	17	is	be	AUX
fumecheng-1065	37	18	understood	understand	VERB
fumecheng-1065	37	19	as	as	ADP
fumecheng-1065	37	20	the	the	DET
fumecheng-1065	37	21	current	current	ADJ
fumecheng-1065	37	22	contact	contact	NOUN
fumecheng-1065	37	23	radius	radius	NOUN
fumecheng-1065	37	24	.	.	PUNCT
fumecheng-1065	38	1	application	application	NOUN
fumecheng-1065	38	2	of	of	ADP
fumecheng-1065	38	3	the	the	DET
fumecheng-1065	38	4	method	method	NOUN
fumecheng-1065	38	5	of	of	ADP
fumecheng-1065	38	6	dimensionality	dimensionality	NOUN
fumecheng-1065	38	7	reduction	reduction	NOUN
fumecheng-1065	38	8	to	to	ADP
fumecheng-1065	38	9	contacts	contact	NOUN
fumecheng-1065	38	10	under	under	ADP
fumecheng-1065	38	11	normal	normal	ADJ
fumecheng-1065	38	12	and	and	CCONJ
fumecheng-1065	38	13	torsional	torsional	ADJ
fumecheng-1065	38	14	loading	loading	NOUN
fumecheng-1065	38	15	83	83	NUM
fumecheng-1065	38	16	let	let	VERB
fumecheng-1065	38	17	us	we	PRON
fumecheng-1065	38	18	assume	assume	VERB
fumecheng-1065	38	19	a	a	DET
fumecheng-1065	38	20	contact	contact	NOUN
fumecheng-1065	38	21	between	between	ADP
fumecheng-1065	38	22	a	a	DET
fumecheng-1065	38	23	rigid	rigid	ADJ
fumecheng-1065	38	24	indenter	indenter	NOUN
fumecheng-1065	38	25	of	of	ADP
fumecheng-1065	38	26	shape	shape	NOUN
fumecheng-1065	38	27	z	z	NOUN
fumecheng-1065	39	1	=	=	SYM
fumecheng-1065	39	2	f	f	X
fumecheng-1065	39	3	(	(	PUNCT
fumecheng-1065	39	4	r	r	NOUN
fumecheng-1065	39	5	)	)	PUNCT
fumecheng-1065	39	6	and	and	CCONJ
fumecheng-1065	39	7	an	an	DET
fumecheng-1065	39	8	elastic	elastic	ADJ
fumecheng-1065	39	9	half	half	NOUN
fumecheng-1065	39	10	space	space	NOUN
fumecheng-1065	39	11	.	.	PUNCT
fumecheng-1065	40	1	the	the	DET
fumecheng-1065	40	2	indentation	indentation	NOUN
fumecheng-1065	40	3	depth	depth	NOUN
fumecheng-1065	40	4	due	due	ADP
fumecheng-1065	40	5	to	to	ADP
fumecheng-1065	40	6	normal	normal	ADJ
fumecheng-1065	40	7	force	force	NOUN
fumecheng-1065	40	8	fn	fn	NOUN
fumecheng-1065	40	9	will	will	AUX
fumecheng-1065	40	10	be	be	AUX
fumecheng-1065	40	11	d	d	NOUN
fumecheng-1065	40	12	and	and	CCONJ
fumecheng-1065	40	13	contact	contact	NOUN
fumecheng-1065	40	14	radius	radius	NOUN
fumecheng-1065	40	15	a.	a.	NOUN
fumecheng-1065	40	16	for	for	ADP
fumecheng-1065	40	17	any	any	DET
fumecheng-1065	40	18	given	give	VERB
fumecheng-1065	40	19	profile	profile	NOUN
fumecheng-1065	40	20	shape	shape	NOUN
fumecheng-1065	40	21	any	any	PRON
fumecheng-1065	40	22	of	of	ADP
fumecheng-1065	40	23	those	those	DET
fumecheng-1065	40	24	three	three	NUM
fumecheng-1065	40	25	parameters	parameter	NOUN
fumecheng-1065	40	26	will	will	AUX
fumecheng-1065	40	27	unambiguously	unambiguously	ADV
fumecheng-1065	40	28	define	define	VERB
fumecheng-1065	40	29	the	the	DET
fumecheng-1065	40	30	other	other	ADJ
fumecheng-1065	40	31	two	two	NUM
fumecheng-1065	40	32	.	.	PUNCT
fumecheng-1065	41	1	especially	especially	ADV
fumecheng-1065	41	2	,	,	PUNCT
fumecheng-1065	41	3	the	the	DET
fumecheng-1065	41	4	indentation	indentation	NOUN
fumecheng-1065	41	5	depth	depth	NOUN
fumecheng-1065	41	6	is	be	AUX
fumecheng-1065	41	7	a	a	DET
fumecheng-1065	41	8	definite	definite	ADJ
fumecheng-1065	41	9	function	function	NOUN
fumecheng-1065	41	10	of	of	ADP
fumecheng-1065	41	11	the	the	DET
fumecheng-1065	41	12	contact	contact	NOUN
fumecheng-1065	41	13	radius	radius	NOUN
fumecheng-1065	41	14	,	,	PUNCT
fumecheng-1065	41	15	which	which	PRON
fumecheng-1065	41	16	we	we	PRON
fumecheng-1065	41	17	will	will	AUX
fumecheng-1065	41	18	denote	denote	VERB
fumecheng-1065	41	19	by	by	ADP
fumecheng-1065	41	20	(	(	PUNCT
fumecheng-1065	41	21	)	)	PUNCT
fumecheng-1065	41	22	d	d	NOUN
fumecheng-1065	41	23	g	g	NOUN
fumecheng-1065	41	24	a	a	NOUN
fumecheng-1065	41	25	.	.	PUNCT
fumecheng-1065	42	1	(	(	PUNCT
fumecheng-1065	42	2	5	5	X
fumecheng-1065	42	3	)	)	PUNCT
fumecheng-1065	42	4	firstly	firstly	ADV
fumecheng-1065	42	5	we	we	PRON
fumecheng-1065	42	6	show	show	VERB
fumecheng-1065	42	7	that	that	SCONJ
fumecheng-1065	42	8	the	the	DET
fumecheng-1065	42	9	complete	complete	ADJ
fumecheng-1065	42	10	solution	solution	NOUN
fumecheng-1065	42	11	of	of	ADP
fumecheng-1065	42	12	the	the	DET
fumecheng-1065	42	13	normal	normal	ADJ
fumecheng-1065	42	14	contact	contact	NOUN
fumecheng-1065	42	15	problem	problem	NOUN
fumecheng-1065	42	16	will	will	AUX
fumecheng-1065	42	17	be	be	AUX
fumecheng-1065	42	18	unambiguously	unambiguously	ADV
fumecheng-1065	42	19	determined	determine	VERB
fumecheng-1065	42	20	by	by	ADP
fumecheng-1065	42	21	function	function	NOUN
fumecheng-1065	42	22	d	d	PROPN
fumecheng-1065	42	23	=	=	PUNCT
fumecheng-1065	42	24	g(a	g(a	PROPN
fumecheng-1065	42	25	)	)	PUNCT
fumecheng-1065	42	26	.	.	PUNCT
fumecheng-1065	43	1	analyzing	analyze	VERB
fumecheng-1065	43	2	the	the	DET
fumecheng-1065	43	3	complete	complete	ADJ
fumecheng-1065	43	4	process	process	NOUN
fumecheng-1065	43	5	of	of	ADP
fumecheng-1065	43	6	indentation	indentation	NOUN
fumecheng-1065	43	7	from	from	ADP
fumecheng-1065	43	8	its	its	PRON
fumecheng-1065	43	9	very	very	ADV
fumecheng-1065	43	10	first	first	ADJ
fumecheng-1065	43	11	moment	moment	NOUN
fumecheng-1065	43	12	until	until	ADP
fumecheng-1065	43	13	the	the	DET
fumecheng-1065	43	14	final	final	ADJ
fumecheng-1065	43	15	indentation	indentation	NOUN
fumecheng-1065	43	16	,	,	PUNCT
fumecheng-1065	43	17	the	the	DET
fumecheng-1065	43	18	current	current	ADJ
fumecheng-1065	43	19	values	value	NOUN
fumecheng-1065	43	20	of	of	ADP
fumecheng-1065	43	21	the	the	DET
fumecheng-1065	43	22	normal	normal	ADJ
fumecheng-1065	43	23	force	force	NOUN
fumecheng-1065	43	24	,	,	PUNCT
fumecheng-1065	43	25	indentation	indentation	NOUN
fumecheng-1065	43	26	depth	depth	NOUN
fumecheng-1065	43	27	and	and	CCONJ
fumecheng-1065	43	28	contact	contact	NOUN
fumecheng-1065	43	29	radius	radius	NOUN
fumecheng-1065	43	30	are	be	AUX
fumecheng-1065	43	31	given	give	VERB
fumecheng-1065	43	32	by	by	ADP
fumecheng-1065	43	33	nf	nf	INTJ
fumecheng-1065	43	34	,	,	PUNCT
fumecheng-1065	43	35	d	d	PROPN
fumecheng-1065	43	36	and	and	CCONJ
fumecheng-1065	43	37	a	a	PRON
fumecheng-1065	43	38	.	.	PUNCT
fumecheng-1065	44	1	during	during	ADP
fumecheng-1065	44	2	the	the	DET
fumecheng-1065	44	3	indentation	indentation	NOUN
fumecheng-1065	44	4	process	process	NOUN
fumecheng-1065	44	5	,	,	PUNCT
fumecheng-1065	44	6	the	the	DET
fumecheng-1065	44	7	indentation	indentation	NOUN
fumecheng-1065	44	8	depth	depth	NOUN
fumecheng-1065	44	9	changes	change	NOUN
fumecheng-1065	44	10	from	from	ADP
fumecheng-1065	44	11	d	d	PROPN
fumecheng-1065	44	12	=	=	SYM
fumecheng-1065	44	13	0	0	NUM
fumecheng-1065	44	14	to	to	ADP
fumecheng-1065	44	15	d	d	PROPN
fumecheng-1065	44	16	=	=	SYM
fumecheng-1065	44	17	d	d	PROPN
fumecheng-1065	44	18	,	,	PUNCT
fumecheng-1065	44	19	the	the	DET
fumecheng-1065	44	20	contact	contact	NOUN
fumecheng-1065	44	21	radius	radius	NOUN
fumecheng-1065	44	22	accordingly	accordingly	ADV
fumecheng-1065	44	23	from	from	ADP
fumecheng-1065	44	24	a	a	DET
fumecheng-1065	44	25	=	=	NOUN
fumecheng-1065	44	26	0	0	NUM
fumecheng-1065	44	27	to	to	ADP
fumecheng-1065	44	28	a	a	DET
fumecheng-1065	44	29	=	=	NOUN
fumecheng-1065	44	30	a	a	PRON
fumecheng-1065	44	31	and	and	CCONJ
fumecheng-1065	44	32	the	the	DET
fumecheng-1065	44	33	normal	normal	ADJ
fumecheng-1065	44	34	force	force	NOUN
fumecheng-1065	44	35	from	from	ADP
fumecheng-1065	44	36	nf	nf	NOUN
fumecheng-1065	44	37	=	=	NOUN
fumecheng-1065	44	38	0	0	NUM
fumecheng-1065	44	39	to	to	PART
fumecheng-1065	44	40	nf	nf	VERB
fumecheng-1065	44	41	=	=	SYM
fumecheng-1065	44	42	fn	fn	NOUN
fumecheng-1065	44	43	.	.	PUNCT
fumecheng-1065	45	1	the	the	DET
fumecheng-1065	45	2	final	final	ADJ
fumecheng-1065	45	3	normal	normal	ADJ
fumecheng-1065	45	4	force	force	NOUN
fumecheng-1065	45	5	can	can	AUX
fumecheng-1065	45	6	be	be	AUX
fumecheng-1065	45	7	written	write	VERB
fumecheng-1065	45	8	as	as	ADP
fumecheng-1065	45	9	0	0	NUM
fumecheng-1065	45	10	0	0	NUM
fumecheng-1065	45	11	d	d	NOUN
fumecheng-1065	45	12	d	d	PROPN
fumecheng-1065	45	13	d	d	X
fumecheng-1065	45	14	d	d	X
fumecheng-1065	45	15	dd	dd	VERB
fumecheng-1065	45	16	nf	nf	INTJ
fumecheng-1065	45	17	a	a	DET
fumecheng-1065	45	18	n	n	CCONJ
fumecheng-1065	45	19	n	n	CCONJ
fumecheng-1065	45	20	n	n	NOUN
fumecheng-1065	45	21	f	f	NOUN
fumecheng-1065	46	1	d	d	NOUN
fumecheng-1065	46	2	f	f	PROPN
fumecheng-1065	46	3	f	f	PROPN
fumecheng-1065	46	4	a	a	DET
fumecheng-1065	46	5	ad	ad	NOUN
fumecheng-1065	46	6			NOUN
fumecheng-1065	46	7			PROPN
fumecheng-1065	46	8			X
fumecheng-1065	46	9	.	.	PUNCT
fumecheng-1065	47	1	(	(	PUNCT
fumecheng-1065	47	2	6	6	NUM
fumecheng-1065	47	3	)	)	PUNCT
fumecheng-1065	47	4	if	if	SCONJ
fumecheng-1065	47	5	we	we	PRON
fumecheng-1065	47	6	take	take	VERB
fumecheng-1065	47	7	into	into	ADP
fumecheng-1065	47	8	account	account	NOUN
fumecheng-1065	47	9	that	that	SCONJ
fumecheng-1065	47	10	the	the	DET
fumecheng-1065	47	11	differential	differential	ADJ
fumecheng-1065	47	12	contact	contact	NOUN
fumecheng-1065	47	13	stiffness	stiffness	NOUN
fumecheng-1065	47	14	of	of	ADP
fumecheng-1065	47	15	an	an	DET
fumecheng-1065	47	16	area	area	NOUN
fumecheng-1065	47	17	with	with	ADP
fumecheng-1065	47	18	radius	radius	NOUN
fumecheng-1065	47	19	a	a	PRON
fumecheng-1065	47	20	is	be	AUX
fumecheng-1065	47	21	given	give	VERB
fumecheng-1065	47	22	by	by	ADP
fumecheng-1065	47	23	(	(	PUNCT
fumecheng-1065	47	24	4	4	NUM
fumecheng-1065	47	25	)	)	PUNCT
fumecheng-1065	47	26	and	and	CCONJ
fumecheng-1065	47	27	the	the	DET
fumecheng-1065	47	28	indentation	indentation	NOUN
fumecheng-1065	47	29	depth	depth	NOUN
fumecheng-1065	47	30	by	by	ADP
fumecheng-1065	47	31	(	(	PUNCT
fumecheng-1065	47	32	5	5	NUM
fumecheng-1065	47	33	)	)	PUNCT
fumecheng-1065	47	34	,	,	PUNCT
fumecheng-1065	47	35	we	we	PRON
fumecheng-1065	47	36	get	get	VERB
fumecheng-1065	47	37	*	*	PUNCT
fumecheng-1065	47	38	0	0	PUNCT
fumecheng-1065	48	1	d	d	NOUN
fumecheng-1065	48	2	(	(	PUNCT
fumecheng-1065	48	3	)	)	PUNCT
fumecheng-1065	48	4	2	2	NUM
fumecheng-1065	48	5	d	d	NOUN
fumecheng-1065	48	6	d	d	PROPN
fumecheng-1065	48	7	a	a	PRON
fumecheng-1065	48	8	n	n	NOUN
fumecheng-1065	48	9	g	g	NOUN
fumecheng-1065	48	10	a	a	DET
fumecheng-1065	48	11	f	f	X
fumecheng-1065	48	12	e	e	PROPN
fumecheng-1065	48	13	a	a	DET
fumecheng-1065	48	14	a	a	DET
fumecheng-1065	48	15	a	a	DET
fumecheng-1065	48	16			NOUN
fumecheng-1065	48	17			NOUN
fumecheng-1065	48	18	,	,	PUNCT
fumecheng-1065	48	19	(	(	PUNCT
fumecheng-1065	48	20	7	7	X
fumecheng-1065	48	21	)	)	PUNCT
fumecheng-1065	48	22	which	which	PRON
fumecheng-1065	48	23	gives	give	VERB
fumecheng-1065	48	24	after	after	ADP
fumecheng-1065	48	25	partial	partial	ADJ
fumecheng-1065	48	26	integration	integration	NOUN
fumecheng-1065	48	27			NOUN
fumecheng-1065	48	28			PUNCT
fumecheng-1065	48	29	*	*	PUNCT
fumecheng-1065	48	30	*	*	PUNCT
fumecheng-1065	48	31	0	0	NUM
fumecheng-1065	48	32	0	0	NUM
fumecheng-1065	48	33	2	2	NUM
fumecheng-1065	48	34	(	(	PUNCT
fumecheng-1065	48	35	)	)	PUNCT
fumecheng-1065	48	36	(	(	PUNCT
fumecheng-1065	48	37	)	)	PUNCT
fumecheng-1065	48	38	d	d	SYM
fumecheng-1065	48	39	2	2	NUM
fumecheng-1065	48	40	(	(	PUNCT
fumecheng-1065	48	41	)	)	PUNCT
fumecheng-1065	49	1	d	d	NOUN
fumecheng-1065	49	2	a	a	DET
fumecheng-1065	49	3	a	a	DET
fumecheng-1065	49	4	nf	nf	NOUN
fumecheng-1065	49	5	e	e	NOUN
fumecheng-1065	49	6	a	a	DET
fumecheng-1065	49	7	g	g	NOUN
fumecheng-1065	49	8	a	a	DET
fumecheng-1065	49	9	g	g	NOUN
fumecheng-1065	49	10	a	a	PRON
fumecheng-1065	49	11	a	a	DET
fumecheng-1065	49	12	e	e	NOUN
fumecheng-1065	49	13	d	d	NOUN
fumecheng-1065	49	14	g	g	PROPN
fumecheng-1065	49	15	a	a	PRON
fumecheng-1065	49	16	a	a	DET
fumecheng-1065	49	17			PROPN
fumecheng-1065	49	18			NOUN
fumecheng-1065	49	19			PROPN
fumecheng-1065	49	20			ADJ
fumecheng-1065	49	21			ADJ
fumecheng-1065	49	22			ADJ
fumecheng-1065	49	23			NOUN
fumecheng-1065	49	24			NUM
fumecheng-1065	49	25			PROPN
fumecheng-1065	49	26			PROPN
fumecheng-1065	49	27			NOUN
fumecheng-1065	49	28			NOUN
fumecheng-1065	49	29			NOUN
fumecheng-1065	49	30			PROPN
fumecheng-1065	49	31			VERB
fumecheng-1065	49	32			PROPN
fumecheng-1065	49	33			X
fumecheng-1065	49	34			X
fumecheng-1065	49	35	.	.	PUNCT
fumecheng-1065	50	1	(	(	PUNCT
fumecheng-1065	50	2	8)	8)	NUM
fumecheng-1065	50	3	let	let	VERB
fumecheng-1065	50	4	us	we	PRON
fumecheng-1065	50	5	calculate	calculate	VERB
fumecheng-1065	50	6	the	the	DET
fumecheng-1065	50	7	pressure	pressure	NOUN
fumecheng-1065	50	8	distribution	distribution	NOUN
fumecheng-1065	50	9	within	within	ADP
fumecheng-1065	50	10	the	the	DET
fumecheng-1065	50	11	contact	contact	NOUN
fumecheng-1065	50	12	area	area	NOUN
fumecheng-1065	50	13	.	.	PUNCT
fumecheng-1065	51	1	an	an	DET
fumecheng-1065	51	2	infinitesimal	infinitesimal	ADJ
fumecheng-1065	51	3	indentation	indentation	NOUN
fumecheng-1065	51	4	d	d	X
fumecheng-1065	51	5	d	d	NOUN
fumecheng-1065	51	6	of	of	ADP
fumecheng-1065	51	7	an	an	DET
fumecheng-1065	51	8	area	area	NOUN
fumecheng-1065	51	9	with	with	ADP
fumecheng-1065	51	10	radius	radius	NOUN
fumecheng-1065	51	11	a	a	DET
fumecheng-1065	51	12	will	will	NOUN
fumecheng-1065	51	13	,	,	PUNCT
fumecheng-1065	51	14	due	due	ADJ
fumecheng-1065	51	15	to	to	ADP
fumecheng-1065	51	16	(	(	PUNCT
fumecheng-1065	51	17	2	2	NUM
fumecheng-1065	51	18	)	)	PUNCT
fumecheng-1065	51	19	,	,	PUNCT
fumecheng-1065	51	20	produce	produce	VERB
fumecheng-1065	51	21	the	the	DET
fumecheng-1065	51	22	pressure	pressure	NOUN
fumecheng-1065	51	23	*	*	NOUN
fumecheng-1065	51	24	2	2	NUM
fumecheng-1065	51	25	2	2	NUM
fumecheng-1065	51	26	1	1	NUM
fumecheng-1065	51	27	d	d	NOUN
fumecheng-1065	51	28	(	(	PUNCT
fumecheng-1065	51	29	)	)	PUNCT
fumecheng-1065	51	30	d	d	X
fumecheng-1065	51	31	e	e	NOUN
fumecheng-1065	51	32	p	p	NOUN
fumecheng-1065	51	33	r	r	NOUN
fumecheng-1065	51	34	d	d	X
fumecheng-1065	51	35	a	a	DET
fumecheng-1065	51	36	r	r	VERB
fumecheng-1065	51	37			PRON
fumecheng-1065	51	38			NOUN
fumecheng-1065	51	39	.	.	PUNCT
fumecheng-1065	52	1	(	(	PUNCT
fumecheng-1065	52	2	9	9	X
fumecheng-1065	52	3	)	)	PUNCT
fumecheng-1065	52	4	the	the	DET
fumecheng-1065	52	5	pressure	pressure	NOUN
fumecheng-1065	52	6	distribution	distribution	NOUN
fumecheng-1065	52	7	at	at	ADP
fumecheng-1065	52	8	the	the	DET
fumecheng-1065	52	9	end	end	NOUN
fumecheng-1065	52	10	of	of	ADP
fumecheng-1065	52	11	the	the	DET
fumecheng-1065	52	12	indentation	indentation	NOUN
fumecheng-1065	52	13	process	process	NOUN
fumecheng-1065	52	14	is	be	AUX
fumecheng-1065	52	15	given	give	VERB
fumecheng-1065	52	16	by	by	ADP
fumecheng-1065	52	17	the	the	DET
fumecheng-1065	52	18	sum	sum	NOUN
fumecheng-1065	52	19	of	of	ADP
fumecheng-1065	52	20	all	all	DET
fumecheng-1065	52	21	infinitesimal	infinitesimal	ADJ
fumecheng-1065	52	22	pressure	pressure	NOUN
fumecheng-1065	52	23	components	component	NOUN
fumecheng-1065	52	24	,	,	PUNCT
fumecheng-1065	52	25	*	*	PUNCT
fumecheng-1065	52	26	*	*	PUNCT
fumecheng-1065	52	27	2	2	NUM
fumecheng-1065	52	28	2	2	NUM
fumecheng-1065	52	29	2	2	NUM
fumecheng-1065	52	30	2	2	NUM
fumecheng-1065	52	31	(	(	PUNCT
fumecheng-1065	52	32	)	)	PUNCT
fumecheng-1065	52	33	1	1	NUM
fumecheng-1065	52	34	1	1	NUM
fumecheng-1065	52	35	d	d	NOUN
fumecheng-1065	52	36	(	(	PUNCT
fumecheng-1065	52	37	)	)	PUNCT
fumecheng-1065	52	38	(	(	PUNCT
fumecheng-1065	52	39	)	)	PUNCT
fumecheng-1065	53	1	d	d	X
fumecheng-1065	53	2	d	d	PUNCT
fumecheng-1065	53	3	d	d	PROPN
fumecheng-1065	53	4	d	d	PROPN
fumecheng-1065	53	5	a	a	X
fumecheng-1065	54	1	d	d	X
fumecheng-1065	54	2	r	r	NOUN
fumecheng-1065	54	3	r	r	NOUN
fumecheng-1065	54	4	e	e	X
fumecheng-1065	54	5	e	e	X
fumecheng-1065	54	6	g	g	NOUN
fumecheng-1065	54	7	a	a	DET
fumecheng-1065	54	8	p	p	NOUN
fumecheng-1065	54	9	r	r	NOUN
fumecheng-1065	54	10	d	d	NOUN
fumecheng-1065	54	11	a	a	DET
fumecheng-1065	54	12	aa	aa	NOUN
fumecheng-1065	54	13	r	r	NOUN
fumecheng-1065	54	14	a	a	DET
fumecheng-1065	54	15	r	r	ADJ
fumecheng-1065	54	16			PROPN
fumecheng-1065	54	17			PROPN
fumecheng-1065	54	18			PROPN
fumecheng-1065	54	19			PROPN
fumecheng-1065	54	20			NOUN
fumecheng-1065	54	21			X
fumecheng-1065	54	22			X
fumecheng-1065	54	23	.	.	PUNCT
fumecheng-1065	55	1	(	(	PUNCT
fumecheng-1065	55	2	10	10	NUM
fumecheng-1065	55	3	)	)	PUNCT
fumecheng-1065	55	4	hence	hence	ADV
fumecheng-1065	55	5	,	,	PUNCT
fumecheng-1065	55	6	function	function	NOUN
fumecheng-1065	55	7	d	d	NOUN
fumecheng-1065	55	8	=	=	PUNCT
fumecheng-1065	55	9	g(a	g(a	PROPN
fumecheng-1065	55	10	)	)	PUNCT
fumecheng-1065	55	11	unambiguously	unambiguously	ADV
fumecheng-1065	55	12	defines	define	VERB
fumecheng-1065	55	13	the	the	DET
fumecheng-1065	55	14	pressure	pressure	NOUN
fumecheng-1065	55	15	distribution	distribution	NOUN
fumecheng-1065	55	16	and	and	CCONJ
fumecheng-1065	55	17	therefore	therefore	ADV
fumecheng-1065	55	18	the	the	DET
fumecheng-1065	55	19	total	total	ADJ
fumecheng-1065	55	20	normal	normal	ADJ
fumecheng-1065	55	21	force	force	NOUN
fumecheng-1065	55	22	as	as	ADV
fumecheng-1065	55	23	well	well	ADV
fumecheng-1065	55	24	.	.	PUNCT
fumecheng-1065	56	1	that	that	PRON
fumecheng-1065	56	2	is	be	AUX
fumecheng-1065	56	3	why	why	SCONJ
fumecheng-1065	56	4	the	the	DET
fumecheng-1065	56	5	solution	solution	NOUN
fumecheng-1065	56	6	of	of	ADP
fumecheng-1065	56	7	the	the	DET
fumecheng-1065	56	8	contact	contact	NOUN
fumecheng-1065	56	9	problem	problem	NOUN
fumecheng-1065	56	10	is	be	AUX
fumecheng-1065	56	11	reduced	reduce	VERB
fumecheng-1065	56	12	to	to	ADP
fumecheng-1065	56	13	the	the	DET
fumecheng-1065	56	14	determination	determination	NOUN
fumecheng-1065	56	15	of	of	ADP
fumecheng-1065	56	16	this	this	DET
fumecheng-1065	56	17	function	function	NOUN
fumecheng-1065	56	18	.	.	PUNCT
fumecheng-1065	57	1	this	this	PRON
fumecheng-1065	57	2	can	can	AUX
fumecheng-1065	57	3	be	be	AUX
fumecheng-1065	57	4	done	do	VERB
fumecheng-1065	57	5	as	as	SCONJ
fumecheng-1065	57	6	follows	follow	VERB
fumecheng-1065	57	7	:	:	PUNCT
fumecheng-1065	57	8	infinitesimal	infinitesimal	ADJ
fumecheng-1065	57	9	indentation	indentation	NOUN
fumecheng-1065	57	10	dd	dd	NOUN
fumecheng-1065	57	11	mentioned	mention	VERB
fumecheng-1065	57	12	above	above	ADV
fumecheng-1065	57	13	will	will	AUX
fumecheng-1065	57	14	,	,	PUNCT
fumecheng-1065	57	15	due	due	ADP
fumecheng-1065	57	16	to	to	ADP
fumecheng-1065	57	17	(	(	PUNCT
fumecheng-1065	57	18	1	1	NUM
fumecheng-1065	57	19	)	)	PUNCT
fumecheng-1065	57	20	,	,	PUNCT
fumecheng-1065	57	21	produce	produce	VERB
fumecheng-1065	57	22	surface	surface	NOUN
fumecheng-1065	57	23	displacement	displacement	NOUN
fumecheng-1065	57	24	at	at	ADP
fumecheng-1065	57	25	r	r	NOUN
fumecheng-1065	57	26	a	a	DET
fumecheng-1065	57	27	a	a	NOUN
fumecheng-1065	57	28			X
fumecheng-1065	57	29	2	2	NUM
fumecheng-1065	57	30	d	d	NOUN
fumecheng-1065	57	31	(	(	PUNCT
fumecheng-1065	57	32	)	)	PUNCT
fumecheng-1065	57	33	arcsin	arcsin	PROPN
fumecheng-1065	57	34	dz	dz	PROPN
fumecheng-1065	57	35	a	a	DET
fumecheng-1065	57	36	u	u	NOUN
fumecheng-1065	57	37	a	a	PROPN
fumecheng-1065	57	38	d	d	X
fumecheng-1065	57	39	a	a	PROPN
fumecheng-1065	57	40			NOUN
fumecheng-1065	57	41			PROPN
fumecheng-1065	58	1			PROPN
fumecheng-1065	59	1			PROPN
fumecheng-1065	59	2			PROPN
fumecheng-1065	60	1			ADJ
fumecheng-1065	60	2			NOUN
fumecheng-1065	60	3	.	.	PUNCT
fumecheng-1065	61	1	(	(	PUNCT
fumecheng-1065	61	2	11	11	NUM
fumecheng-1065	61	3	)	)	PUNCT
fumecheng-1065	61	4	again	again	ADV
fumecheng-1065	61	5	,	,	PUNCT
fumecheng-1065	61	6	the	the	DET
fumecheng-1065	61	7	total	total	ADJ
fumecheng-1065	61	8	displacement	displacement	NOUN
fumecheng-1065	61	9	can	can	AUX
fumecheng-1065	61	10	be	be	AUX
fumecheng-1065	61	11	understood	understand	VERB
fumecheng-1065	61	12	as	as	ADP
fumecheng-1065	61	13	a	a	DET
fumecheng-1065	61	14	sum	sum	NOUN
fumecheng-1065	61	15	of	of	ADP
fumecheng-1065	61	16	all	all	DET
fumecheng-1065	61	17	infinitesimal	infinitesimal	ADJ
fumecheng-1065	61	18	indentations	indentation	NOUN
fumecheng-1065	61	19	:	:	PUNCT
fumecheng-1065	61	20	84	84	NUM
fumecheng-1065	61	21	e.	e.	PROPN
fumecheng-1065	61	22	willert	willert	PROPN
fumecheng-1065	61	23	,	,	PUNCT
fumecheng-1065	61	24	m.	m.	NOUN
fumecheng-1065	61	25	hess	hess	PROPN
fumecheng-1065	61	26	,	,	PUNCT
fumecheng-1065	61	27	v.l	v.l	PROPN
fumecheng-1065	61	28	.	.	PROPN
fumecheng-1065	61	29	popov	popov	PROPN
fumecheng-1065	61	30	0	0	NUM
fumecheng-1065	61	31	0	0	NUM
fumecheng-1065	61	32	2	2	NUM
fumecheng-1065	61	33	2	2	NUM
fumecheng-1065	61	34	d	d	NOUN
fumecheng-1065	61	35	(	(	PUNCT
fumecheng-1065	61	36	)	)	PUNCT
fumecheng-1065	61	37	(	(	PUNCT
fumecheng-1065	61	38	)	)	PUNCT
fumecheng-1065	61	39	arcsin	arcsin	PROPN
fumecheng-1065	61	40	d	d	PROPN
fumecheng-1065	61	41	arcsin	arcsin	PROPN
fumecheng-1065	61	42	d	d	PROPN
fumecheng-1065	61	43	d	d	PROPN
fumecheng-1065	61	44	d	d	PROPN
fumecheng-1065	61	45	a	a	PROPN
fumecheng-1065	61	46	z	z	NOUN
fumecheng-1065	61	47	a	a	PRON
fumecheng-1065	61	48	a	a	DET
fumecheng-1065	61	49	g	g	NOUN
fumecheng-1065	61	50	a	a	DET
fumecheng-1065	61	51	u	u	NOUN
fumecheng-1065	61	52	a	a	PROPN
fumecheng-1065	61	53	d	d	NOUN
fumecheng-1065	61	54	a	a	PRON
fumecheng-1065	61	55	a	a	DET
fumecheng-1065	61	56	a	a	DET
fumecheng-1065	61	57	a	a	PROPN
fumecheng-1065	61	58			ADJ
fumecheng-1065	61	59			NOUN
fumecheng-1065	61	60			NOUN
fumecheng-1065	61	61			NOUN
fumecheng-1065	61	62			PROPN
fumecheng-1065	61	63			PROPN
fumecheng-1065	61	64			PUNCT
fumecheng-1065	61	65			PROPN
fumecheng-1065	62	1			PROPN
fumecheng-1065	62	2			PROPN
fumecheng-1065	63	1			PROPN
fumecheng-1065	63	2			PROPN
fumecheng-1065	63	3			PROPN
fumecheng-1065	63	4			NOUN
fumecheng-1065	63	5			PUNCT
fumecheng-1065	63	6			PUNCT
fumecheng-1065	63	7	(	(	PUNCT
fumecheng-1065	63	8	12	12	NUM
fumecheng-1065	63	9	)	)	PUNCT
fumecheng-1065	63	10	on	on	ADP
fumecheng-1065	63	11	the	the	DET
fumecheng-1065	63	12	other	other	ADJ
fumecheng-1065	63	13	hand	hand	NOUN
fumecheng-1065	63	14	,	,	PUNCT
fumecheng-1065	63	15	this	this	DET
fumecheng-1065	63	16	displacement	displacement	NOUN
fumecheng-1065	63	17	is	be	AUX
fumecheng-1065	63	18	given	give	VERB
fumecheng-1065	63	19	by	by	ADP
fumecheng-1065	63	20	(	(	PUNCT
fumecheng-1065	63	21	)	)	PUNCT
fumecheng-1065	63	22	(	(	PUNCT
fumecheng-1065	63	23	)	)	PUNCT
fumecheng-1065	63	24	zu	zu	NOUN
fumecheng-1065	63	25	a	a	PRON
fumecheng-1065	63	26	d	d	X
fumecheng-1065	63	27	f	f	X
fumecheng-1065	63	28	a	a	NOUN
fumecheng-1065	63	29			VERB
fumecheng-1065	63	30	:	:	PUNCT
fumecheng-1065	63	31	0	0	NUM
fumecheng-1065	63	32	2	2	NUM
fumecheng-1065	63	33	d	d	NOUN
fumecheng-1065	63	34	(	(	PUNCT
fumecheng-1065	63	35	)	)	PUNCT
fumecheng-1065	63	36	(	(	PUNCT
fumecheng-1065	63	37	)	)	PUNCT
fumecheng-1065	63	38	arcsin	arcsin	PROPN
fumecheng-1065	63	39	d	d	PROPN
fumecheng-1065	63	40	d	d	PROPN
fumecheng-1065	63	41	a	a	PRON
fumecheng-1065	63	42	a	a	DET
fumecheng-1065	63	43	g	g	NOUN
fumecheng-1065	63	44	a	a	PROPN
fumecheng-1065	63	45	d	d	X
fumecheng-1065	63	46	f	f	PROPN
fumecheng-1065	63	47	a	a	DET
fumecheng-1065	63	48	a	a	DET
fumecheng-1065	63	49	a	a	DET
fumecheng-1065	63	50	a	a	PROPN
fumecheng-1065	63	51			NOUN
fumecheng-1065	63	52			PROPN
fumecheng-1065	63	53			VERB
fumecheng-1065	63	54			PROPN
fumecheng-1065	63	55			PROPN
fumecheng-1065	63	56			PROPN
fumecheng-1065	64	1			ADJ
fumecheng-1065	64	2			NOUN
fumecheng-1065	64	3			PUNCT
fumecheng-1065	64	4	,	,	PUNCT
fumecheng-1065	64	5	(	(	PUNCT
fumecheng-1065	64	6	13	13	NUM
fumecheng-1065	64	7	)	)	PUNCT
fumecheng-1065	64	8	which	which	PRON
fumecheng-1065	64	9	gives	give	VERB
fumecheng-1065	64	10	after	after	ADP
fumecheng-1065	64	11	partial	partial	ADJ
fumecheng-1065	64	12	integration	integration	NOUN
fumecheng-1065	64	13	2	2	NUM
fumecheng-1065	64	14	2	2	NUM
fumecheng-1065	64	15	0	0	NUM
fumecheng-1065	64	16	2	2	NUM
fumecheng-1065	64	17	(	(	PUNCT
fumecheng-1065	64	18	)	)	PUNCT
fumecheng-1065	64	19	(	(	PUNCT
fumecheng-1065	64	20	)	)	PUNCT
fumecheng-1065	65	1	d	d	NOUN
fumecheng-1065	65	2	a	a	DET
fumecheng-1065	65	3	g	g	NOUN
fumecheng-1065	65	4	a	a	DET
fumecheng-1065	65	5	f	f	NOUN
fumecheng-1065	65	6	a	a	DET
fumecheng-1065	65	7	a	a	DET
fumecheng-1065	65	8	a	a	DET
fumecheng-1065	65	9	a	a	PROPN
fumecheng-1065	65	10			NUM
fumecheng-1065	65	11			NOUN
fumecheng-1065	65	12			PUNCT
fumecheng-1065	65	13	.	.	PUNCT
fumecheng-1065	66	1	(	(	PUNCT
fumecheng-1065	66	2	14	14	NUM
fumecheng-1065	66	3	)	)	PUNCT
fumecheng-1065	66	4	this	this	PRON
fumecheng-1065	66	5	is	be	AUX
fumecheng-1065	66	6	an	an	DET
fumecheng-1065	66	7	abel	abel	PROPN
fumecheng-1065	66	8	integration	integration	NOUN
fumecheng-1065	66	9	equation	equation	NOUN
fumecheng-1065	66	10	,	,	PUNCT
fumecheng-1065	66	11	which	which	PRON
fumecheng-1065	66	12	can	can	AUX
fumecheng-1065	66	13	be	be	AUX
fumecheng-1065	66	14	inverted	invert	VERB
fumecheng-1065	66	15	[	[	X
fumecheng-1065	66	16	12	12	NUM
fumecheng-1065	66	17	]	]	X
fumecheng-1065	66	18	:	:	PUNCT
fumecheng-1065	66	19	2	2	NUM
fumecheng-1065	66	20	2	2	NUM
fumecheng-1065	66	21	0	0	NUM
fumecheng-1065	66	22	(	(	PUNCT
fumecheng-1065	66	23	)	)	PUNCT
fumecheng-1065	66	24	(	(	PUNCT
fumecheng-1065	66	25	)	)	PUNCT
fumecheng-1065	67	1	d	d	X
fumecheng-1065	67	2	a	a	DET
fumecheng-1065	67	3	f	f	X
fumecheng-1065	67	4	a	a	DET
fumecheng-1065	67	5	g	g	NOUN
fumecheng-1065	67	6	a	a	DET
fumecheng-1065	67	7	a	a	DET
fumecheng-1065	67	8	a	a	DET
fumecheng-1065	67	9	a	a	DET
fumecheng-1065	67	10	a	a	DET
fumecheng-1065	67	11			ADJ
fumecheng-1065	67	12			NUM
fumecheng-1065	67	13			NOUN
fumecheng-1065	67	14			PUNCT
fumecheng-1065	67	15	.	.	PUNCT
fumecheng-1065	68	1	(	(	PUNCT
fumecheng-1065	68	2	15	15	NUM
fumecheng-1065	68	3	)	)	PUNCT
fumecheng-1065	68	4	the	the	DET
fumecheng-1065	68	5	mdr	mdr	PROPN
fumecheng-1065	68	6	is	be	AUX
fumecheng-1065	68	7	mainly	mainly	ADV
fumecheng-1065	68	8	an	an	DET
fumecheng-1065	68	9	interpretation	interpretation	NOUN
fumecheng-1065	68	10	of	of	ADP
fumecheng-1065	68	11	the	the	DET
fumecheng-1065	68	12	equations	equation	NOUN
fumecheng-1065	68	13	(	(	PUNCT
fumecheng-1065	68	14	5	5	NUM
fumecheng-1065	68	15	)	)	PUNCT
fumecheng-1065	68	16	,	,	PUNCT
fumecheng-1065	68	17	(	(	PUNCT
fumecheng-1065	68	18	8)	8)	NUM
fumecheng-1065	68	19	,	,	PUNCT
fumecheng-1065	68	20	(	(	PUNCT
fumecheng-1065	68	21	10	10	NUM
fumecheng-1065	68	22	)	)	PUNCT
fumecheng-1065	68	23	and	and	CCONJ
fumecheng-1065	68	24	(	(	PUNCT
fumecheng-1065	68	25	15	15	NUM
fumecheng-1065	68	26	)	)	PUNCT
fumecheng-1065	68	27	,	,	PUNCT
fumecheng-1065	68	28	which	which	PRON
fumecheng-1065	68	29	,	,	PUNCT
fumecheng-1065	68	30	on	on	ADP
fumecheng-1065	68	31	the	the	DET
fumecheng-1065	68	32	one	one	NUM
fumecheng-1065	68	33	hand	hand	NOUN
fumecheng-1065	68	34	,	,	PUNCT
fumecheng-1065	68	35	can	can	AUX
fumecheng-1065	68	36	be	be	AUX
fumecheng-1065	68	37	interpreted	interpret	VERB
fumecheng-1065	68	38	as	as	ADP
fumecheng-1065	68	39	just	just	ADV
fumecheng-1065	68	40	a	a	DET
fumecheng-1065	68	41	mnemonic	mnemonic	ADJ
fumecheng-1065	68	42	rule	rule	NOUN
fumecheng-1065	68	43	.	.	PUNCT
fumecheng-1065	69	1	however	however	ADV
fumecheng-1065	69	2	,	,	PUNCT
fumecheng-1065	69	3	in	in	ADP
fumecheng-1065	69	4	many	many	ADJ
fumecheng-1065	69	5	ways	way	NOUN
fumecheng-1065	69	6	it	it	PRON
fumecheng-1065	69	7	has	have	VERB
fumecheng-1065	69	8	a	a	DET
fumecheng-1065	69	9	deeper	deep	ADJ
fumecheng-1065	69	10	physical	physical	ADJ
fumecheng-1065	69	11	meaning	meaning	NOUN
fumecheng-1065	69	12	.	.	PUNCT
fumecheng-1065	70	1	let	let	VERB
fumecheng-1065	70	2	us	we	PRON
fumecheng-1065	70	3	assume	assume	VERB
fumecheng-1065	70	4	an	an	DET
fumecheng-1065	70	5	elastic	elastic	ADJ
fumecheng-1065	70	6	foundation	foundation	NOUN
fumecheng-1065	70	7	of	of	ADP
fumecheng-1065	70	8	independent	independent	ADJ
fumecheng-1065	70	9	equal	equal	ADJ
fumecheng-1065	70	10	springs	spring	NOUN
fumecheng-1065	70	11	,	,	PUNCT
fumecheng-1065	70	12	each	each	PRON
fumecheng-1065	70	13	at	at	ADP
fumecheng-1065	70	14	distance	distance	NOUN
fumecheng-1065	70	15	x	x	NOUN
fumecheng-1065	70	16	from	from	ADP
fumecheng-1065	70	17	each	each	DET
fumecheng-1065	70	18	other	other	ADJ
fumecheng-1065	70	19	and	and	CCONJ
fumecheng-1065	70	20	with	with	ADP
fumecheng-1065	70	21	stiffness	stiffness	NOUN
fumecheng-1065	70	22	kz	kz	NOUN
fumecheng-1065	71	1	=	=	SYM
fumecheng-1065	71	2	e	e	X
fumecheng-1065	71	3	*	*	PUNCT
fumecheng-1065	71	4	x	x	ADJ
fumecheng-1065	71	5	,	,	PUNCT
fumecheng-1065	71	6	as	as	SCONJ
fumecheng-1065	71	7	shown	show	VERB
fumecheng-1065	71	8	in	in	ADP
fumecheng-1065	71	9	fig	fig	NOUN
fumecheng-1065	71	10	.	.	PUNCT
fumecheng-1065	72	1	1	1	X
fumecheng-1065	72	2	.	.	PUNCT
fumecheng-1065	72	3	also	also	ADV
fumecheng-1065	72	4	,	,	PUNCT
fumecheng-1065	72	5	we	we	PRON
fumecheng-1065	72	6	define	define	VERB
fumecheng-1065	72	7	a	a	DET
fumecheng-1065	72	8	one	one	NUM
fumecheng-1065	72	9	-	-	PUNCT
fumecheng-1065	72	10	dimensional	dimensional	ADJ
fumecheng-1065	72	11	profile	profile	NOUN
fumecheng-1065	72	12	g(x	g(x	NOUN
fumecheng-1065	72	13	)	)	PUNCT
fumecheng-1065	72	14	as	as	ADP
fumecheng-1065	72	15	a	a	DET
fumecheng-1065	72	16	formal	formal	ADJ
fumecheng-1065	72	17	transformation	transformation	NOUN
fumecheng-1065	72	18	of	of	ADP
fumecheng-1065	72	19	the	the	DET
fumecheng-1065	72	20	threedimensional	threedimensional	ADJ
fumecheng-1065	72	21	axisymmetric	axisymmetric	ADJ
fumecheng-1065	72	22	profile	profile	NOUN
fumecheng-1065	72	23	z	z	NOUN
fumecheng-1065	72	24	=	=	SYM
fumecheng-1065	72	25	f	f	X
fumecheng-1065	72	26	(	(	PUNCT
fumecheng-1065	72	27	r	r	NOUN
fumecheng-1065	72	28	)	)	PUNCT
fumecheng-1065	72	29	according	accord	VERB
fumecheng-1065	72	30	to	to	ADP
fumecheng-1065	72	31	2	2	NUM
fumecheng-1065	72	32	2	2	NUM
fumecheng-1065	72	33	0	0	NUM
fumecheng-1065	72	34	(	(	PUNCT
fumecheng-1065	72	35	)	)	PUNCT
fumecheng-1065	72	36	(	(	PUNCT
fumecheng-1065	72	37	)	)	PUNCT
fumecheng-1065	73	1	d	d	X
fumecheng-1065	73	2	x	x	PUNCT
fumecheng-1065	73	3	f	f	NOUN
fumecheng-1065	73	4	r	r	NOUN
fumecheng-1065	73	5	g	g	NOUN
fumecheng-1065	73	6	x	x	SYM
fumecheng-1065	73	7	x	x	PUNCT
fumecheng-1065	73	8	r	r	NOUN
fumecheng-1065	73	9	x	x	SYM
fumecheng-1065	73	10	r	r	NOUN
fumecheng-1065	73	11			CCONJ
fumecheng-1065	73	12			NUM
fumecheng-1065	73	13			NOUN
fumecheng-1065	73	14			PUNCT
fumecheng-1065	73	15	.	.	PUNCT
fumecheng-1065	74	1	(	(	PUNCT
fumecheng-1065	74	2	16	16	NUM
fumecheng-1065	74	3	)	)	PUNCT
fumecheng-1065	74	4	this	this	DET
fumecheng-1065	74	5	transformation	transformation	NOUN
fumecheng-1065	74	6	is	be	AUX
fumecheng-1065	74	7	illustrated	illustrate	VERB
fumecheng-1065	74	8	in	in	ADP
fumecheng-1065	74	9	fig	fig	NOUN
fumecheng-1065	74	10	.	.	PUNCT
fumecheng-1065	75	1	2	2	X
fumecheng-1065	75	2	.	.	X
fumecheng-1065	75	3	fig	fig	NOUN
fumecheng-1065	75	4	.	.	PUNCT
fumecheng-1065	76	1	1	1	NUM
fumecheng-1065	76	2	equivalent	equivalent	ADJ
fumecheng-1065	76	3	elastic	elastic	ADJ
fumecheng-1065	76	4	foundation	foundation	NOUN
fumecheng-1065	76	5	fig	fig	NOUN
fumecheng-1065	76	6	.	.	PUNCT
fumecheng-1065	77	1	2	2	NUM
fumecheng-1065	77	2	axisymmetric	axisymmetric	ADJ
fumecheng-1065	77	3	three	three	NUM
fumecheng-1065	77	4	-	-	PUNCT
fumecheng-1065	77	5	dimensional	dimensional	ADJ
fumecheng-1065	77	6	profile	profile	NOUN
fumecheng-1065	77	7	and	and	CCONJ
fumecheng-1065	77	8	one	one	NUM
fumecheng-1065	77	9	-	-	PUNCT
fumecheng-1065	77	10	dimensional	dimensional	ADJ
fumecheng-1065	77	11	analogue	analogue	NOUN
fumecheng-1065	77	12	within	within	ADP
fumecheng-1065	77	13	the	the	DET
fumecheng-1065	77	14	framework	framework	NOUN
fumecheng-1065	77	15	of	of	ADP
fumecheng-1065	77	16	the	the	DET
fumecheng-1065	77	17	mdr	mdr	PROPN
fumecheng-1065	77	18	(	(	PUNCT
fumecheng-1065	77	19	see	see	VERB
fumecheng-1065	77	20	eq	eq	ADP
fumecheng-1065	77	21	.	.	PUNCT
fumecheng-1065	78	1	(	(	PUNCT
fumecheng-1065	78	2	16	16	NUM
fumecheng-1065	78	3	)	)	PUNCT
fumecheng-1065	78	4	)	)	PUNCT
fumecheng-1065	78	5	application	application	NOUN
fumecheng-1065	78	6	of	of	ADP
fumecheng-1065	78	7	the	the	DET
fumecheng-1065	78	8	method	method	NOUN
fumecheng-1065	78	9	of	of	ADP
fumecheng-1065	78	10	dimensionality	dimensionality	NOUN
fumecheng-1065	78	11	reduction	reduction	NOUN
fumecheng-1065	78	12	to	to	ADP
fumecheng-1065	78	13	contacts	contact	NOUN
fumecheng-1065	78	14	under	under	ADP
fumecheng-1065	78	15	normal	normal	ADJ
fumecheng-1065	78	16	and	and	CCONJ
fumecheng-1065	78	17	torsional	torsional	ADJ
fumecheng-1065	78	18	loading	loading	NOUN
fumecheng-1065	78	19	85	85	NUM
fumecheng-1065	78	20	the	the	DET
fumecheng-1065	78	21	transformed	transform	VERB
fumecheng-1065	78	22	profile	profile	NOUN
fumecheng-1065	78	23	is	be	AUX
fumecheng-1065	78	24	now	now	ADV
fumecheng-1065	78	25	pressed	press	VERB
fumecheng-1065	78	26	into	into	ADP
fumecheng-1065	78	27	the	the	DET
fumecheng-1065	78	28	elastic	elastic	ADJ
fumecheng-1065	78	29	foundation	foundation	NOUN
fumecheng-1065	78	30	described	describe	VERB
fumecheng-1065	78	31	above	above	ADV
fumecheng-1065	78	32	.	.	PUNCT
fumecheng-1065	79	1	this	this	PRON
fumecheng-1065	79	2	is	be	AUX
fumecheng-1065	79	3	shown	show	VERB
fumecheng-1065	79	4	in	in	ADP
fumecheng-1065	79	5	fig	fig	NOUN
fumecheng-1065	79	6	.	.	PUNCT
fumecheng-1065	80	1	3	3	X
fumecheng-1065	80	2	.	.	X
fumecheng-1065	80	3	the	the	DET
fumecheng-1065	80	4	surface	surface	NOUN
fumecheng-1065	80	5	displacement	displacement	NOUN
fumecheng-1065	80	6	in	in	ADP
fumecheng-1065	80	7	normal	normal	ADJ
fumecheng-1065	80	8	direction	direction	NOUN
fumecheng-1065	80	9	at	at	ADP
fumecheng-1065	80	10	any	any	DET
fumecheng-1065	80	11	point	point	NOUN
fumecheng-1065	80	12	x	x	PUNCT
fumecheng-1065	80	13	will	will	AUX
fumecheng-1065	80	14	be	be	AUX
fumecheng-1065	80	15	given	give	VERB
fumecheng-1065	80	16	by	by	ADP
fumecheng-1065	80	17	the	the	DET
fumecheng-1065	80	18	difference	difference	NOUN
fumecheng-1065	80	19	of	of	ADP
fumecheng-1065	80	20	indentation	indentation	NOUN
fumecheng-1065	80	21	depth	depth	NOUN
fumecheng-1065	80	22	d	d	NOUN
fumecheng-1065	80	23	and	and	CCONJ
fumecheng-1065	80	24	profile	profile	ADV
fumecheng-1065	80	25	shape	shape	VERB
fumecheng-1065	80	26	g(x	g(x	NOUN
fumecheng-1065	80	27	):	):	PUNCT
fumecheng-1065	80	28	1	1	NUM
fumecheng-1065	80	29	(	(	PUNCT
fumecheng-1065	80	30	)	)	PUNCT
fumecheng-1065	80	31	(	(	PUNCT
fumecheng-1065	80	32	)	)	PUNCT
fumecheng-1065	81	1	d	d	X
fumecheng-1065	81	2	zu	zu	NOUN
fumecheng-1065	81	3	x	x	PUNCT
fumecheng-1065	82	1	d	d	X
fumecheng-1065	82	2	g	g	PROPN
fumecheng-1065	82	3	x	x	PROPN
fumecheng-1065	82	4			PROPN
fumecheng-1065	82	5	.	.	PUNCT
fumecheng-1065	83	1	(	(	PUNCT
fumecheng-1065	83	2	17	17	NUM
fumecheng-1065	83	3	)	)	PUNCT
fumecheng-1065	83	4	fig	fig	NOUN
fumecheng-1065	83	5	.	.	PUNCT
fumecheng-1065	84	1	3	3	NUM
fumecheng-1065	84	2	mdr	mdr	PROPN
fumecheng-1065	84	3	-	-	NOUN
fumecheng-1065	84	4	model	model	NOUN
fumecheng-1065	84	5	for	for	ADP
fumecheng-1065	84	6	the	the	DET
fumecheng-1065	84	7	normal	normal	ADJ
fumecheng-1065	84	8	contact	contact	NOUN
fumecheng-1065	84	9	for	for	ADP
fumecheng-1065	84	10	contacts	contact	NOUN
fumecheng-1065	84	11	without	without	ADP
fumecheng-1065	84	12	adhesion	adhesion	NOUN
fumecheng-1065	84	13	the	the	DET
fumecheng-1065	84	14	displacement	displacement	NOUN
fumecheng-1065	84	15	vanishes	vanish	VERB
fumecheng-1065	84	16	at	at	ADP
fumecheng-1065	84	17	the	the	DET
fumecheng-1065	84	18	edge	edge	NOUN
fumecheng-1065	84	19	of	of	ADP
fumecheng-1065	84	20	the	the	DET
fumecheng-1065	84	21	contact	contact	NOUN
fumecheng-1065	84	22	:	:	PUNCT
fumecheng-1065	84	23	1	1	NUM
fumecheng-1065	84	24	(	(	PUNCT
fumecheng-1065	84	25	)	)	PUNCT
fumecheng-1065	84	26	(	(	PUNCT
fumecheng-1065	84	27	)	)	PUNCT
fumecheng-1065	84	28	0d	0d	X
fumecheng-1065	85	1	zu	zu	NOUN
fumecheng-1065	85	2	a	a	DET
fumecheng-1065	85	3	d	d	X
fumecheng-1065	85	4	g	g	PROPN
fumecheng-1065	85	5	a	a	NOUN
fumecheng-1065	85	6			VERB
fumecheng-1065	85	7			PRON
fumecheng-1065	85	8	.	.	PUNCT
fumecheng-1065	86	1	(	(	PUNCT
fumecheng-1065	86	2	18	18	NUM
fumecheng-1065	86	3	)	)	PUNCT
fumecheng-1065	86	4	the	the	DET
fumecheng-1065	86	5	normal	normal	ADJ
fumecheng-1065	86	6	force	force	NOUN
fumecheng-1065	86	7	in	in	ADP
fumecheng-1065	86	8	a	a	DET
fumecheng-1065	86	9	single	single	ADJ
fumecheng-1065	86	10	spring	spring	NOUN
fumecheng-1065	86	11	is	be	AUX
fumecheng-1065	86	12	given	give	VERB
fumecheng-1065	86	13	by	by	ADP
fumecheng-1065	86	14	*	*	PUNCT
fumecheng-1065	86	15	(	(	PUNCT
fumecheng-1065	86	16	)	)	PUNCT
fumecheng-1065	86	17	(	(	PUNCT
fumecheng-1065	86	18	(	(	PUNCT
fumecheng-1065	86	19	)	)	PUNCT
fumecheng-1065	86	20	)	)	PUNCT
fumecheng-1065	87	1	(	(	PUNCT
fumecheng-1065	87	2	(	(	PUNCT
fumecheng-1065	87	3	)	)	PUNCT
fumecheng-1065	87	4	)	)	PUNCT
fumecheng-1065	87	5	n	n	CCONJ
fumecheng-1065	88	1	zf	zf	PROPN
fumecheng-1065	88	2	x	x	PUNCT
fumecheng-1065	89	1	k	k	PROPN
fumecheng-1065	89	2	d	d	X
fumecheng-1065	89	3	g	g	NOUN
fumecheng-1065	89	4	x	x	X
fumecheng-1065	89	5	e	e	NOUN
fumecheng-1065	89	6	d	d	X
fumecheng-1065	89	7	g	g	NOUN
fumecheng-1065	89	8	x	x	VERB
fumecheng-1065	89	9	x	x	PROPN
fumecheng-1065	89	10			NUM
fumecheng-1065	89	11			PUNCT
fumecheng-1065	89	12			PROPN
fumecheng-1065	89	13			PROPN
fumecheng-1065	89	14			PROPN
fumecheng-1065	89	15			NOUN
fumecheng-1065	89	16	,	,	PUNCT
fumecheng-1065	89	17	(	(	PUNCT
fumecheng-1065	89	18	19	19	NUM
fumecheng-1065	89	19	)	)	PUNCT
fumecheng-1065	89	20	from	from	ADP
fumecheng-1065	89	21	which	which	PRON
fumecheng-1065	89	22	the	the	DET
fumecheng-1065	89	23	total	total	ADJ
fumecheng-1065	89	24	normal	normal	ADJ
fumecheng-1065	89	25	force	force	NOUN
fumecheng-1065	89	26	in	in	ADP
fumecheng-1065	89	27	the	the	DET
fumecheng-1065	89	28	equilibrium	equilibrium	NOUN
fumecheng-1065	89	29	state	state	NOUN
fumecheng-1065	89	30	can	can	AUX
fumecheng-1065	89	31	be	be	AUX
fumecheng-1065	89	32	calculated	calculate	VERB
fumecheng-1065	89	33	by	by	ADP
fumecheng-1065	89	34	summation	summation	NOUN
fumecheng-1065	89	35	over	over	ADP
fumecheng-1065	89	36	all	all	DET
fumecheng-1065	89	37	springs	spring	NOUN
fumecheng-1065	89	38	.	.	PUNCT
fumecheng-1065	90	1	in	in	ADP
fumecheng-1065	90	2	limiting	limit	VERB
fumecheng-1065	90	3	case	case	NOUN
fumecheng-1065	90	4	0x	0x	NUM
fumecheng-1065	90	5			NOUN
fumecheng-1065	91	1	the	the	DET
fumecheng-1065	91	2	sum	sum	NOUN
fumecheng-1065	91	3	will	will	AUX
fumecheng-1065	91	4	be	be	AUX
fumecheng-1065	91	5	the	the	DET
fumecheng-1065	91	6	integral	integral	ADJ
fumecheng-1065	91	7	*	*	PUNCT
fumecheng-1065	91	8	1	1	NUM
fumecheng-1065	91	9	*	*	SYM
fumecheng-1065	91	10	0	0	NUM
fumecheng-1065	91	11	(	(	PUNCT
fumecheng-1065	91	12	)	)	PUNCT
fumecheng-1065	91	13	d	d	SYM
fumecheng-1065	91	14	2	2	NUM
fumecheng-1065	91	15	(	(	PUNCT
fumecheng-1065	91	16	(	(	PUNCT
fumecheng-1065	91	17	)	)	PUNCT
fumecheng-1065	91	18	)	)	PUNCT
fumecheng-1065	92	1	d	d	NOUN
fumecheng-1065	92	2	a	a	DET
fumecheng-1065	92	3	a	a	PROPN
fumecheng-1065	92	4	d	d	NOUN
fumecheng-1065	92	5	n	n	NOUN
fumecheng-1065	92	6	z	z	PROPN
fumecheng-1065	92	7	a	a	DET
fumecheng-1065	92	8	f	f	X
fumecheng-1065	92	9	e	e	X
fumecheng-1065	92	10	u	u	NOUN
fumecheng-1065	92	11	x	x	X
fumecheng-1065	92	12	x	x	PUNCT
fumecheng-1065	92	13	e	e	NOUN
fumecheng-1065	92	14	d	d	X
fumecheng-1065	92	15	g	g	NOUN
fumecheng-1065	92	16	x	x	PUNCT
fumecheng-1065	92	17	x	x	SYM
fumecheng-1065	92	18			VERB
fumecheng-1065	92	19			NOUN
fumecheng-1065	92	20			PROPN
fumecheng-1065	92	21			NOUN
fumecheng-1065	92	22			PUNCT
fumecheng-1065	92	23	.	.	PUNCT
fumecheng-1065	93	1	(	(	PUNCT
fumecheng-1065	93	2	20	20	X
fumecheng-1065	93	3	)	)	PUNCT
fumecheng-1065	93	4	it	it	PRON
fumecheng-1065	93	5	can	can	AUX
fumecheng-1065	93	6	be	be	AUX
fumecheng-1065	93	7	seen	see	VERB
fumecheng-1065	93	8	easily	easily	ADV
fumecheng-1065	93	9	that	that	SCONJ
fumecheng-1065	93	10	the	the	DET
fumecheng-1065	93	11	equations	equation	NOUN
fumecheng-1065	93	12	(	(	PUNCT
fumecheng-1065	93	13	18	18	NUM
fumecheng-1065	93	14	)	)	PUNCT
fumecheng-1065	93	15	,	,	PUNCT
fumecheng-1065	93	16	(	(	PUNCT
fumecheng-1065	93	17	20	20	NUM
fumecheng-1065	93	18	)	)	PUNCT
fumecheng-1065	93	19	and	and	CCONJ
fumecheng-1065	93	20	(	(	PUNCT
fumecheng-1065	93	21	16	16	X
fumecheng-1065	93	22	)	)	PUNCT
fumecheng-1065	93	23	reproduce	reproduce	NOUN
fumecheng-1065	93	24	(	(	PUNCT
fumecheng-1065	93	25	5	5	NUM
fumecheng-1065	93	26	)	)	PUNCT
fumecheng-1065	93	27	,	,	PUNCT
fumecheng-1065	93	28	(	(	PUNCT
fumecheng-1065	93	29	8)	8)	NUM
fumecheng-1065	93	30	and	and	CCONJ
fumecheng-1065	93	31	(	(	PUNCT
fumecheng-1065	93	32	15	15	NUM
fumecheng-1065	93	33	)	)	PUNCT
fumecheng-1065	93	34	.	.	PUNCT
fumecheng-1065	94	1	hence	hence	ADV
fumecheng-1065	94	2	,	,	PUNCT
fumecheng-1065	94	3	transformed	transform	VERB
fumecheng-1065	94	4	profile	profile	NOUN
fumecheng-1065	94	5	g(x	g(x	NOUN
fumecheng-1065	94	6	)	)	PUNCT
fumecheng-1065	94	7	is	be	AUX
fumecheng-1065	94	8	the	the	DET
fumecheng-1065	94	9	geometrical	geometrical	ADJ
fumecheng-1065	94	10	interpretation	interpretation	NOUN
fumecheng-1065	94	11	of	of	ADP
fumecheng-1065	94	12	dependence	dependence	NOUN
fumecheng-1065	94	13	d	d	PROPN
fumecheng-1065	94	14	=	=	PUNCT
fumecheng-1065	94	15	g(a	g(a	PROPN
fumecheng-1065	94	16	)	)	PUNCT
fumecheng-1065	94	17	for	for	ADP
fumecheng-1065	94	18	the	the	DET
fumecheng-1065	94	19	given	give	VERB
fumecheng-1065	94	20	three	three	NUM
fumecheng-1065	94	21	-	-	PUNCT
fumecheng-1065	94	22	dimensional	dimensional	ADJ
fumecheng-1065	94	23	profile	profile	NOUN
fumecheng-1065	94	24	shape	shape	NOUN
fumecheng-1065	94	25	.	.	PUNCT
fumecheng-1065	95	1	by	by	ADP
fumecheng-1065	95	2	the	the	DET
fumecheng-1065	95	3	equivalence	equivalence	NOUN
fumecheng-1065	95	4	of	of	ADP
fumecheng-1065	95	5	the	the	DET
fumecheng-1065	95	6	equations	equation	NOUN
fumecheng-1065	95	7	presented	present	VERB
fumecheng-1065	95	8	above	above	ADP
fumecheng-1065	95	9	it	it	PRON
fumecheng-1065	95	10	is	be	AUX
fumecheng-1065	95	11	also	also	ADV
fumecheng-1065	95	12	shown	show	VERB
fumecheng-1065	95	13	that	that	SCONJ
fumecheng-1065	95	14	,	,	PUNCT
fumecheng-1065	95	15	instead	instead	ADV
fumecheng-1065	95	16	of	of	ADP
fumecheng-1065	95	17	analyzing	analyze	VERB
fumecheng-1065	95	18	the	the	DET
fumecheng-1065	95	19	three	three	NUM
fumecheng-1065	95	20	-	-	PUNCT
fumecheng-1065	95	21	dimensional	dimensional	ADJ
fumecheng-1065	95	22	contact	contact	NOUN
fumecheng-1065	95	23	problem	problem	NOUN
fumecheng-1065	95	24	,	,	PUNCT
fumecheng-1065	95	25	the	the	DET
fumecheng-1065	95	26	described	describe	VERB
fumecheng-1065	95	27	equivalent	equivalent	ADJ
fumecheng-1065	95	28	one	one	NUM
fumecheng-1065	95	29	-	-	PUNCT
fumecheng-1065	95	30	dimensional	dimensional	ADJ
fumecheng-1065	95	31	problem	problem	NOUN
fumecheng-1065	95	32	can	can	AUX
fumecheng-1065	95	33	be	be	AUX
fumecheng-1065	95	34	solved	solve	VERB
fumecheng-1065	95	35	,	,	PUNCT
fumecheng-1065	95	36	obtaining	obtain	VERB
fumecheng-1065	95	37	the	the	DET
fumecheng-1065	95	38	correct	correct	ADJ
fumecheng-1065	95	39	and	and	CCONJ
fumecheng-1065	95	40	exact	exact	ADJ
fumecheng-1065	95	41	results	result	NOUN
fumecheng-1065	95	42	for	for	ADP
fumecheng-1065	95	43	the	the	DET
fumecheng-1065	95	44	original	original	ADJ
fumecheng-1065	95	45	contact	contact	NOUN
fumecheng-1065	95	46	.	.	PUNCT
fumecheng-1065	96	1	in	in	ADP
fumecheng-1065	96	2	the	the	DET
fumecheng-1065	96	3	next	next	ADJ
fumecheng-1065	96	4	paragraph	paragraph	NOUN
fumecheng-1065	96	5	we	we	PRON
fumecheng-1065	96	6	are	be	AUX
fumecheng-1065	96	7	going	go	VERB
fumecheng-1065	96	8	to	to	PART
fumecheng-1065	96	9	show	show	VERB
fumecheng-1065	96	10	how	how	SCONJ
fumecheng-1065	96	11	this	this	PRON
fumecheng-1065	96	12	can	can	AUX
fumecheng-1065	96	13	be	be	AUX
fumecheng-1065	96	14	done	do	VERB
fumecheng-1065	96	15	,	,	PUNCT
fumecheng-1065	96	16	by	by	ADP
fumecheng-1065	96	17	the	the	DET
fumecheng-1065	96	18	same	same	ADJ
fumecheng-1065	96	19	method	method	NOUN
fumecheng-1065	96	20	,	,	PUNCT
fumecheng-1065	96	21	for	for	ADP
fumecheng-1065	96	22	torsional	torsional	ADJ
fumecheng-1065	96	23	contact	contact	NOUN
fumecheng-1065	96	24	as	as	ADV
fumecheng-1065	96	25	well	well	ADV
fumecheng-1065	96	26	.	.	PUNCT
fumecheng-1065	97	1	3	3	X
fumecheng-1065	97	2	.	.	X
fumecheng-1065	97	3	description	description	NOUN
fumecheng-1065	97	4	of	of	ADP
fumecheng-1065	97	5	the	the	DET
fumecheng-1065	97	6	torsional	torsional	ADJ
fumecheng-1065	97	7	contact	contact	NOUN
fumecheng-1065	97	8	with	with	ADP
fumecheng-1065	97	9	the	the	DET
fumecheng-1065	97	10	method	method	NOUN
fumecheng-1065	97	11	of	of	ADP
fumecheng-1065	97	12	dimensionality	dimensionality	NOUN
fumecheng-1065	97	13	reduction	reduction	NOUN
fumecheng-1065	97	14	again	again	ADV
fumecheng-1065	97	15	,	,	PUNCT
fumecheng-1065	97	16	we	we	PRON
fumecheng-1065	97	17	start	start	VERB
fumecheng-1065	97	18	with	with	ADP
fumecheng-1065	97	19	the	the	DET
fumecheng-1065	97	20	known	know	VERB
fumecheng-1065	97	21	solution	solution	NOUN
fumecheng-1065	97	22	for	for	ADP
fumecheng-1065	97	23	the	the	DET
fumecheng-1065	97	24	torsional	torsional	ADJ
fumecheng-1065	97	25	contact	contact	NOUN
fumecheng-1065	97	26	of	of	ADP
fumecheng-1065	97	27	a	a	DET
fumecheng-1065	97	28	rigid	rigid	ADJ
fumecheng-1065	97	29	flat	flat	ADJ
fumecheng-1065	97	30	cylinder	cylinder	NOUN
fumecheng-1065	97	31	.	.	PUNCT
fumecheng-1065	98	1	if	if	SCONJ
fumecheng-1065	98	2	a	a	DET
fumecheng-1065	98	3	rigid	rigid	ADJ
fumecheng-1065	98	4	flat	flat	ADV
fumecheng-1065	98	5	-	-	PUNCT
fumecheng-1065	98	6	ended	end	VERB
fumecheng-1065	98	7	punch	punch	NOUN
fumecheng-1065	98	8	is	be	AUX
fumecheng-1065	98	9	pressed	press	VERB
fumecheng-1065	98	10	on	on	ADP
fumecheng-1065	98	11	an	an	DET
fumecheng-1065	98	12	elastic	elastic	ADJ
fumecheng-1065	98	13	half	half	NOUN
fumecheng-1065	98	14	space	space	NOUN
fumecheng-1065	98	15	and	and	CCONJ
fumecheng-1065	98	16	rotated	rotate	VERB
fumecheng-1065	98	17	around	around	ADP
fumecheng-1065	98	18	the	the	DET
fumecheng-1065	98	19	axis	axis	NOUN
fumecheng-1065	98	20	of	of	ADP
fumecheng-1065	98	21	the	the	DET
fumecheng-1065	98	22	cylinder	cylinder	NOUN
fumecheng-1065	98	23	by	by	ADP
fumecheng-1065	98	24	angle	angle	NOUN
fumecheng-1065	98	25			PROPN
fumecheng-1065	98	26	,	,	PUNCT
fumecheng-1065	98	27	the	the	DET
fumecheng-1065	98	28	produced	produce	VERB
fumecheng-1065	98	29	torsional	torsional	ADJ
fumecheng-1065	98	30	moment	moment	NOUN
fumecheng-1065	98	31	,	,	PUNCT
fumecheng-1065	98	32	surface	surface	NOUN
fumecheng-1065	98	33	displacement	displacement	NOUN
fumecheng-1065	98	34	and	and	CCONJ
fumecheng-1065	98	35	stress	stress	NOUN
fumecheng-1065	98	36	distribution	distribution	NOUN
fumecheng-1065	98	37	will	will	AUX
fumecheng-1065	98	38	be	be	AUX
fumecheng-1065	98	39	given	give	VERB
fumecheng-1065	98	40	by	by	ADP
fumecheng-1065	98	41	equations	equation	NOUN
fumecheng-1065	98	42	[	[	X
fumecheng-1065	98	43	13	13	NUM
fumecheng-1065	98	44	]	]	SYM
fumecheng-1065	98	45	316	316	NUM
fumecheng-1065	98	46	3	3	NUM
fumecheng-1065	98	47	zm	zm	PROPN
fumecheng-1065	98	48	ga	ga	PROPN
fumecheng-1065	98	49			NOUN
fumecheng-1065	98	50	,	,	PUNCT
fumecheng-1065	98	51	(	(	PUNCT
fumecheng-1065	98	52	21	21	NUM
fumecheng-1065	98	53	)	)	PUNCT
fumecheng-1065	98	54	86	86	NUM
fumecheng-1065	98	55	e.	e.	PROPN
fumecheng-1065	98	56	willert	willert	PROPN
fumecheng-1065	98	57	,	,	PUNCT
fumecheng-1065	98	58	m.	m.	NOUN
fumecheng-1065	98	59	hess	hess	PROPN
fumecheng-1065	98	60	,	,	PUNCT
fumecheng-1065	98	61	v.l	v.l	PROPN
fumecheng-1065	98	62	.	.	PROPN
fumecheng-1065	98	63	popov	popov	PROPN
fumecheng-1065	98	64	2	2	NUM
fumecheng-1065	98	65	2	2	NUM
fumecheng-1065	98	66	(	(	PUNCT
fumecheng-1065	98	67	)	)	PUNCT
fumecheng-1065	98	68	2	2	NUM
fumecheng-1065	98	69	arcsin	arcsin	PROPN
fumecheng-1065	98	70	1	1	NUM
fumecheng-1065	98	71	,	,	PUNCT
fumecheng-1065	98	72	,	,	PUNCT
fumecheng-1065	98	73	r	r	NOUN
fumecheng-1065	98	74	r	r	NOUN
fumecheng-1065	98	75	a	a	DET
fumecheng-1065	98	76	u	u	NOUN
fumecheng-1065	98	77	r	r	NOUN
fumecheng-1065	98	78	a	a	PRON
fumecheng-1065	98	79	a	a	DET
fumecheng-1065	98	80	r	r	NOUN
fumecheng-1065	98	81	a	a	DET
fumecheng-1065	98	82	r	r	NOUN
fumecheng-1065	98	83	a	a	DET
fumecheng-1065	98	84	r	r	NOUN
fumecheng-1065	98	85	r	r	NOUN
fumecheng-1065	98	86			ADJ
fumecheng-1065	98	87			PROPN
fumecheng-1065	98	88			PROPN
fumecheng-1065	98	89			PROPN
fumecheng-1065	98	90			NOUN
fumecheng-1065	98	91			NOUN
fumecheng-1065	98	92			NOUN
fumecheng-1065	98	93			PUNCT
fumecheng-1065	99	1			NUM
fumecheng-1065	99	2			NUM
fumecheng-1065	99	3			NUM
fumecheng-1065	99	4			PROPN
fumecheng-1065	99	5			VERB
fumecheng-1065	99	6			PROPN
fumecheng-1065	99	7			VERB
fumecheng-1065	99	8			NOUN
fumecheng-1065	99	9			X
fumecheng-1065	99	10			PROPN
fumecheng-1065	99	11			ADJ
fumecheng-1065	99	12			ADJ
fumecheng-1065	99	13			PROPN
fumecheng-1065	99	14			NOUN
fumecheng-1065	99	15	,	,	PUNCT
fumecheng-1065	99	16	(	(	PUNCT
fumecheng-1065	99	17	22	22	NUM
fumecheng-1065	99	18	)	)	PUNCT
fumecheng-1065	99	19	2	2	NUM
fumecheng-1065	99	20	2	2	NUM
fumecheng-1065	99	21	4	4	NUM
fumecheng-1065	99	22	(	(	PUNCT
fumecheng-1065	99	23	)	)	PUNCT
fumecheng-1065	99	24	0	0	NUM
fumecheng-1065	99	25	,	,	PUNCT
fumecheng-1065	99	26	,	,	PUNCT
fumecheng-1065	99	27	g	g	PROPN
fumecheng-1065	99	28	r	r	NOUN
fumecheng-1065	99	29	r	r	NOUN
fumecheng-1065	99	30	a	a	DET
fumecheng-1065	99	31	r	r	NOUN
fumecheng-1065	99	32	a	a	DET
fumecheng-1065	99	33	r	r	NOUN
fumecheng-1065	99	34	r	r	NOUN
fumecheng-1065	99	35	a	a	DET
fumecheng-1065	99	36			ADJ
fumecheng-1065	99	37			NOUN
fumecheng-1065	99	38			ADP
fumecheng-1065	99	39			PROPN
fumecheng-1065	99	40			NUM
fumecheng-1065	99	41			NOUN
fumecheng-1065	99	42			NUM
fumecheng-1065	99	43			NOUN
fumecheng-1065	99	44	,	,	PUNCT
fumecheng-1065	99	45	(	(	PUNCT
fumecheng-1065	99	46	23	23	NUM
fumecheng-1065	99	47	)	)	PUNCT
fumecheng-1065	99	48	where	where	SCONJ
fumecheng-1065	99	49	g	g	PROPN
fumecheng-1065	99	50	is	be	AUX
fumecheng-1065	99	51	the	the	DET
fumecheng-1065	99	52	shear	shear	NOUN
fumecheng-1065	99	53	modulus	modulus	NOUN
fumecheng-1065	99	54	.	.	PUNCT
fumecheng-1065	100	1	in	in	ADP
fumecheng-1065	100	2	the	the	DET
fumecheng-1065	100	3	case	case	NOUN
fumecheng-1065	100	4	of	of	ADP
fumecheng-1065	100	5	rotational	rotational	ADJ
fumecheng-1065	100	6	symmetry	symmetry	NOUN
fumecheng-1065	100	7	and	and	CCONJ
fumecheng-1065	100	8	of	of	ADP
fumecheng-1065	100	9	no	no	DET
fumecheng-1065	100	10	slip	slip	NOUN
fumecheng-1065	100	11	,	,	PUNCT
fumecheng-1065	100	12	the	the	DET
fumecheng-1065	100	13	torsional	torsional	ADJ
fumecheng-1065	100	14	contact	contact	NOUN
fumecheng-1065	100	15	problem	problem	NOUN
fumecheng-1065	100	16	completely	completely	ADV
fumecheng-1065	100	17	decouples	decouple	VERB
fumecheng-1065	100	18	from	from	ADP
fumecheng-1065	100	19	the	the	DET
fumecheng-1065	100	20	normal	normal	ADJ
fumecheng-1065	100	21	contact	contact	NOUN
fumecheng-1065	100	22	problem	problem	NOUN
fumecheng-1065	100	23	.	.	PUNCT
fumecheng-1065	101	1	we	we	PRON
fumecheng-1065	101	2	analyze	analyze	VERB
fumecheng-1065	101	3	the	the	DET
fumecheng-1065	101	4	torsional	torsional	ADJ
fumecheng-1065	101	5	contact	contact	NOUN
fumecheng-1065	101	6	problem	problem	NOUN
fumecheng-1065	101	7	that	that	PRON
fumecheng-1065	101	8	is	be	AUX
fumecheng-1065	101	9	analogical	analogical	ADJ
fumecheng-1065	101	10	to	to	ADP
fumecheng-1065	101	11	the	the	DET
fumecheng-1065	101	12	normal	normal	ADJ
fumecheng-1065	101	13	contact	contact	NOUN
fumecheng-1065	101	14	problem	problem	NOUN
fumecheng-1065	101	15	described	describe	VERB
fumecheng-1065	101	16	in	in	ADP
fumecheng-1065	101	17	the	the	DET
fumecheng-1065	101	18	previous	previous	ADJ
fumecheng-1065	101	19	section	section	NOUN
fumecheng-1065	101	20	,	,	PUNCT
fumecheng-1065	101	21	i.e.	i.e.	X
fumecheng-1065	101	22	we	we	PRON
fumecheng-1065	101	23	imprint	imprint	VERB
fumecheng-1065	101	24	rotational	rotational	ADJ
fumecheng-1065	101	25	surface	surface	NOUN
fumecheng-1065	101	26	displacement	displacement	NOUN
fumecheng-1065	101	27	u(r	u(r	PROPN
fumecheng-1065	101	28	)	)	PUNCT
fumecheng-1065	101	29	=	=	SYM
fumecheng-1065	102	1	r(	r(	PROPN
fumecheng-1065	102	2			NOUN
fumecheng-1065	102	3	(r	(r	PROPN
fumecheng-1065	102	4	)	)	PUNCT
fumecheng-1065	102	5	)	)	PUNCT
fumecheng-1065	102	6	into	into	ADP
fumecheng-1065	102	7	an	an	DET
fumecheng-1065	102	8	elastic	elastic	ADJ
fumecheng-1065	102	9	half	half	NOUN
fumecheng-1065	102	10	space	space	NOUN
fumecheng-1065	102	11	and	and	CCONJ
fumecheng-1065	102	12	want	want	VERB
fumecheng-1065	102	13	to	to	PART
fumecheng-1065	102	14	determine	determine	VERB
fumecheng-1065	102	15	the	the	DET
fumecheng-1065	102	16	shear	shear	NOUN
fumecheng-1065	102	17	stresses	stress	NOUN
fumecheng-1065	102	18	due	due	ADP
fumecheng-1065	102	19	to	to	ADP
fumecheng-1065	102	20	this	this	DET
fumecheng-1065	102	21	displacement	displacement	NOUN
fumecheng-1065	102	22	.	.	PUNCT
fumecheng-1065	103	1	(r	(r	ADV
fumecheng-1065	103	2	)	)	PUNCT
fumecheng-1065	103	3	is	be	AUX
fumecheng-1065	103	4	the	the	DET
fumecheng-1065	103	5	deviation	deviation	NOUN
fumecheng-1065	103	6	of	of	ADP
fumecheng-1065	103	7	the	the	DET
fumecheng-1065	103	8	torsional	torsional	ADJ
fumecheng-1065	103	9	angle	angle	NOUN
fumecheng-1065	103	10	from	from	ADP
fumecheng-1065	103	11	the	the	DET
fumecheng-1065	103	12	pure	pure	ADJ
fumecheng-1065	103	13	constant	constant	ADJ
fumecheng-1065	103	14	rotation	rotation	NOUN
fumecheng-1065	103	15	with	with	ADP
fumecheng-1065	103	16	.	.	NOUN
fumecheng-1065	103	17	this	this	DET
fumecheng-1065	103	18	displacement	displacement	NOUN
fumecheng-1065	103	19	is	be	AUX
fumecheng-1065	103	20	understood	understand	VERB
fumecheng-1065	103	21	as	as	ADP
fumecheng-1065	103	22	a	a	DET
fumecheng-1065	103	23	sum	sum	NOUN
fumecheng-1065	103	24	of	of	ADP
fumecheng-1065	103	25	infinitesimal	infinitesimal	ADJ
fumecheng-1065	103	26	torsional	torsional	ADJ
fumecheng-1065	103	27	loadings	loading	NOUN
fumecheng-1065	103	28	of	of	ADP
fumecheng-1065	103	29	flat	flat	ADJ
fumecheng-1065	103	30	punches	punch	NOUN
fumecheng-1065	103	31	[	[	X
fumecheng-1065	103	32	4	4	NUM
fumecheng-1065	103	33	]	]	PUNCT
fumecheng-1065	103	34	.	.	PUNCT
fumecheng-1065	104	1	in	in	ADP
fumecheng-1065	104	2	analogy	analogy	NOUN
fumecheng-1065	104	3	to	to	ADP
fumecheng-1065	104	4	(	(	PUNCT
fumecheng-1065	104	5	5	5	X
fumecheng-1065	104	6	)	)	PUNCT
fumecheng-1065	104	7	we	we	PRON
fumecheng-1065	104	8	introduce	introduce	VERB
fumecheng-1065	104	9	the	the	DET
fumecheng-1065	104	10	function	function	NOUN
fumecheng-1065	104	11	(	(	PUNCT
fumecheng-1065	104	12	)	)	PUNCT
fumecheng-1065	104	13	.a	.a	PUNCT
fumecheng-1065	105	1			NUM
fumecheng-1065	105	2			PROPN
fumecheng-1065	105	3	(	(	PUNCT
fumecheng-1065	105	4	24	24	NUM
fumecheng-1065	105	5	)	)	PUNCT
fumecheng-1065	105	6	the	the	DET
fumecheng-1065	105	7	complete	complete	ADJ
fumecheng-1065	105	8	torsional	torsional	ADJ
fumecheng-1065	105	9	moment	moment	NOUN
fumecheng-1065	105	10	after	after	SCONJ
fumecheng-1065	105	11	the	the	DET
fumecheng-1065	105	12	process	process	NOUN
fumecheng-1065	105	13	of	of	ADP
fumecheng-1065	105	14	torque	torque	NOUN
fumecheng-1065	105	15	loading	loading	NOUN
fumecheng-1065	105	16	can	can	AUX
fumecheng-1065	105	17	be	be	AUX
fumecheng-1065	105	18	calculated	calculate	VERB
fumecheng-1065	105	19	as	as	ADP
fumecheng-1065	105	20	3	3	NUM
fumecheng-1065	105	21	00	00	NUM
fumecheng-1065	105	22	0	0	NUM
fumecheng-1065	105	23	16d	16d	NOUN
fumecheng-1065	105	24	d	d	PROPN
fumecheng-1065	105	25	(	(	PUNCT
fumecheng-1065	105	26	)	)	PUNCT
fumecheng-1065	105	27	d	d	NOUN
fumecheng-1065	105	28	(	(	PUNCT
fumecheng-1065	105	29	)	)	PUNCT
fumecheng-1065	105	30	d	d	PUNCT
fumecheng-1065	106	1	d	d	PUNCT
fumecheng-1065	106	2	d	d	X
fumecheng-1065	106	3	d	d	X
fumecheng-1065	106	4	3d	3d	PROPN
fumecheng-1065	107	1	d	d	NOUN
fumecheng-1065	107	2	a	a	DET
fumecheng-1065	107	3	a	a	DET
fumecheng-1065	107	4	z	z	NOUN
fumecheng-1065	107	5	z	z	NOUN
fumecheng-1065	107	6	m	m	PROPN
fumecheng-1065	107	7	z	z	NOUN
fumecheng-1065	107	8	m	m	VERB
fumecheng-1065	107	9	a	a	PRON
fumecheng-1065	107	10	a	a	DET
fumecheng-1065	107	11	gm	gm	PROPN
fumecheng-1065	107	12	m	m	PROPN
fumecheng-1065	107	13	a	a	DET
fumecheng-1065	107	14	a	a	DET
fumecheng-1065	107	15	a	a	DET
fumecheng-1065	107	16	a	a	DET
fumecheng-1065	107	17	a	a	NOUN
fumecheng-1065	107	18			NUM
fumecheng-1065	107	19			PROPN
fumecheng-1065	107	20			NUM
fumecheng-1065	107	21			NUM
fumecheng-1065	107	22			X
fumecheng-1065	107	23			X
fumecheng-1065	107	24	.	.	PUNCT
fumecheng-1065	108	1	(	(	PUNCT
fumecheng-1065	108	2	25	25	NUM
fumecheng-1065	108	3	)	)	PUNCT
fumecheng-1065	108	4	we	we	PRON
fumecheng-1065	108	5	introduce	introduce	VERB
fumecheng-1065	108	6	variable	variable	NOUN
fumecheng-1065	108	7	uy(x	uy(x	NOUN
fumecheng-1065	108	8	)	)	PUNCT
fumecheng-1065	108	9	in	in	ADP
fumecheng-1065	108	10	the	the	DET
fumecheng-1065	108	11	following	follow	VERB
fumecheng-1065	108	12	differential	differential	ADJ
fumecheng-1065	108	13	way	way	NOUN
fumecheng-1065	108	14	:	:	PUNCT
fumecheng-1065	109	1	d	d	X
fumecheng-1065	109	2	0	0	PUNCT
fumecheng-1065	109	3	<	<	X
fumecheng-1065	109	4	d	d	X
fumecheng-1065	109	5	(	(	PUNCT
fumecheng-1065	109	6	)	)	PUNCT
fumecheng-1065	109	7	0	0	NUM
fumecheng-1065	109	8	,	,	PUNCT
fumecheng-1065	109	9	,	,	PUNCT
fumecheng-1065	109	10	y	y	PROPN
fumecheng-1065	109	11	x	x	X
fumecheng-1065	109	12	x	x	X
fumecheng-1065	109	13	a	a	DET
fumecheng-1065	109	14	u	u	NOUN
fumecheng-1065	109	15	x	x	X
fumecheng-1065	109	16	x	x	X
fumecheng-1065	109	17	a	a	DET
fumecheng-1065	109	18			ADJ
fumecheng-1065	109	19			NOUN
fumecheng-1065	109	20			PROPN
fumecheng-1065	109	21			NUM
fumecheng-1065	109	22			NOUN
fumecheng-1065	109	23	.	.	PUNCT
fumecheng-1065	110	1	(	(	PUNCT
fumecheng-1065	110	2	26	26	NUM
fumecheng-1065	110	3	)	)	PUNCT
fumecheng-1065	110	4	at	at	ADP
fumecheng-1065	110	5	the	the	DET
fumecheng-1065	110	6	end	end	NOUN
fumecheng-1065	110	7	of	of	ADP
fumecheng-1065	110	8	the	the	DET
fumecheng-1065	110	9	described	describe	VERB
fumecheng-1065	110	10	process	process	NOUN
fumecheng-1065	110	11	of	of	ADP
fumecheng-1065	110	12	infinitesimal	infinitesimal	ADJ
fumecheng-1065	110	13	torsional	torsional	ADJ
fumecheng-1065	110	14	loadings	loading	NOUN
fumecheng-1065	110	15	this	this	DET
fumecheng-1065	110	16	field	field	NOUN
fumecheng-1065	110	17	will	will	AUX
fumecheng-1065	110	18	be	be	AUX
fumecheng-1065	110	19	(	(	PUNCT
fumecheng-1065	110	20	)	)	PUNCT
fumecheng-1065	110	21	d	d	NOUN
fumecheng-1065	110	22	(	(	PUNCT
fumecheng-1065	110	23	)	)	PUNCT
fumecheng-1065	110	24	(	(	PUNCT
fumecheng-1065	110	25	)	)	PUNCT
fumecheng-1065	111	1	d	d	X
fumecheng-1065	111	2	d	d	PROPN
fumecheng-1065	111	3	d	d	X
fumecheng-1065	111	4	a	a	DET
fumecheng-1065	111	5	y	y	NOUN
fumecheng-1065	111	6	x	x	PROPN
fumecheng-1065	111	7	x	x	X
fumecheng-1065	111	8	a	a	DET
fumecheng-1065	111	9	u	u	NOUN
fumecheng-1065	111	10	x	x	NOUN
fumecheng-1065	111	11	x	x	X
fumecheng-1065	111	12	x	x	X
fumecheng-1065	111	13	a	a	DET
fumecheng-1065	111	14	a	a	DET
fumecheng-1065	111	15			ADJ
fumecheng-1065	111	16			ADJ
fumecheng-1065	111	17			PROPN
fumecheng-1065	111	18			PROPN
fumecheng-1065	111	19			NUM
fumecheng-1065	111	20			PROPN
fumecheng-1065	111	21			X
fumecheng-1065	111	22	.	.	PUNCT
fumecheng-1065	112	1	(	(	PUNCT
fumecheng-1065	112	2	27	27	NUM
fumecheng-1065	112	3	)	)	PUNCT
fumecheng-1065	112	4	dividing	dividing	NOUN
fumecheng-1065	112	5	(	(	PUNCT
fumecheng-1065	112	6	27	27	NUM
fumecheng-1065	112	7	)	)	PUNCT
fumecheng-1065	112	8	by	by	ADP
fumecheng-1065	112	9	x	x	PUNCT
fumecheng-1065	112	10	and	and	CCONJ
fumecheng-1065	112	11	differentiating	differentiate	VERB
fumecheng-1065	112	12	with	with	ADP
fumecheng-1065	112	13	respect	respect	NOUN
fumecheng-1065	112	14	to	to	ADP
fumecheng-1065	112	15	x	x	NOUN
fumecheng-1065	112	16	we	we	PRON
fumecheng-1065	112	17	get	get	VERB
fumecheng-1065	112	18	(	(	PUNCT
fumecheng-1065	112	19	)	)	PUNCT
fumecheng-1065	112	20	(	(	PUNCT
fumecheng-1065	112	21	)	)	PUNCT
fumecheng-1065	112	22	d	d	SYM
fumecheng-1065	112	23	d	d	PROPN
fumecheng-1065	112	24	(	(	PUNCT
fumecheng-1065	112	25	)	)	PUNCT
fumecheng-1065	112	26	(	(	PUNCT
fumecheng-1065	112	27	)	)	PUNCT
fumecheng-1065	113	1	d	d	X
fumecheng-1065	113	2	d	d	X
fumecheng-1065	113	3	y	y	PROPN
fumecheng-1065	113	4	yu	yu	PROPN
fumecheng-1065	113	5	x	x	SYM
fumecheng-1065	113	6	u	u	PRON
fumecheng-1065	113	7	ax	ax	NOUN
fumecheng-1065	113	8	x	x	X
fumecheng-1065	113	9	a	a	PRON
fumecheng-1065	113	10	x	x	X
fumecheng-1065	113	11	x	x	SYM
fumecheng-1065	113	12	x	x	X
fumecheng-1065	113	13	a	a	DET
fumecheng-1065	113	14			NUM
fumecheng-1065	113	15			NOUN
fumecheng-1065	113	16			NOUN
fumecheng-1065	113	17			PROPN
fumecheng-1065	113	18			PROPN
fumecheng-1065	113	19			PROPN
fumecheng-1065	113	20			PROPN
fumecheng-1065	113	21			PROPN
fumecheng-1065	113	22			CCONJ
fumecheng-1065	114	1			ADJ
fumecheng-1065	114	2			NOUN
fumecheng-1065	114	3	.	.	PUNCT
fumecheng-1065	115	1	(	(	PUNCT
fumecheng-1065	115	2	28	28	NUM
fumecheng-1065	115	3	)	)	PUNCT
fumecheng-1065	115	4	equation	equation	NOUN
fumecheng-1065	115	5	(	(	PUNCT
fumecheng-1065	115	6	25	25	NUM
fumecheng-1065	115	7	)	)	PUNCT
fumecheng-1065	115	8	can	can	AUX
fumecheng-1065	115	9	then	then	ADV
fumecheng-1065	115	10	be	be	AUX
fumecheng-1065	115	11	written	write	VERB
fumecheng-1065	115	12	in	in	ADP
fumecheng-1065	115	13	the	the	DET
fumecheng-1065	115	14	following	following	ADJ
fumecheng-1065	115	15	way	way	NOUN
fumecheng-1065	115	16	:	:	PUNCT
fumecheng-1065	115	17	3	3	NUM
fumecheng-1065	115	18	0	0	NUM
fumecheng-1065	115	19	(	(	PUNCT
fumecheng-1065	115	20	)	)	PUNCT
fumecheng-1065	115	21	(	(	PUNCT
fumecheng-1065	115	22	)	)	PUNCT
fumecheng-1065	115	23	16	16	NUM
fumecheng-1065	115	24	d	d	NOUN
fumecheng-1065	115	25	(	(	PUNCT
fumecheng-1065	115	26	)	)	PUNCT
fumecheng-1065	116	1	d	d	NOUN
fumecheng-1065	116	2	3	3	NUM
fumecheng-1065	116	3	d	d	NOUN
fumecheng-1065	116	4	a	a	DET
fumecheng-1065	116	5	y	y	PROPN
fumecheng-1065	116	6	y	y	PROPN
fumecheng-1065	116	7	z	z	PROPN
fumecheng-1065	116	8	u	u	PROPN
fumecheng-1065	116	9	a	a	DET
fumecheng-1065	116	10	u	u	NOUN
fumecheng-1065	116	11	a	a	PROPN
fumecheng-1065	116	12	m	m	NOUN
fumecheng-1065	116	13	g	g	NOUN
fumecheng-1065	116	14	a	a	DET
fumecheng-1065	116	15	a	a	DET
fumecheng-1065	116	16	a	a	DET
fumecheng-1065	116	17	a	a	DET
fumecheng-1065	116	18	a	a	DET
fumecheng-1065	116	19	a	a	DET
fumecheng-1065	116	20	a	a	DET
fumecheng-1065	116	21			NUM
fumecheng-1065	116	22			PROPN
fumecheng-1065	116	23			PROPN
fumecheng-1065	116	24			PROPN
fumecheng-1065	116	25			PROPN
fumecheng-1065	116	26			PROPN
fumecheng-1065	116	27			ADP
fumecheng-1065	116	28			PROPN
fumecheng-1065	116	29			NOUN
fumecheng-1065	116	30			PROPN
fumecheng-1065	116	31			PROPN
fumecheng-1065	116	32			PROPN
fumecheng-1065	116	33			PROPN
fumecheng-1065	116	34			PUNCT
fumecheng-1065	116	35	,	,	PUNCT
fumecheng-1065	116	36	(	(	PUNCT
fumecheng-1065	116	37	29	29	NUM
fumecheng-1065	116	38	)	)	PUNCT
fumecheng-1065	116	39	which	which	PRON
fumecheng-1065	116	40	gives	give	VERB
fumecheng-1065	116	41	after	after	ADP
fumecheng-1065	116	42	partial	partial	ADJ
fumecheng-1065	116	43	integration	integration	NOUN
fumecheng-1065	116	44	0	0	NUM
fumecheng-1065	117	1	(	(	PUNCT
fumecheng-1065	117	2	d16	d16	NOUN
fumecheng-1065	117	3	)	)	PUNCT
fumecheng-1065	117	4	y	y	PROPN
fumecheng-1065	117	5	a	a	DET
fumecheng-1065	117	6	z	z	NOUN
fumecheng-1065	117	7	gm	gm	PROPN
fumecheng-1065	117	8	u	u	PROPN
fumecheng-1065	117	9	aaa	aaa	PROPN
fumecheng-1065	117	10			PROPN
fumecheng-1065	117	11	.	.	PUNCT
fumecheng-1065	118	1	(	(	PUNCT
fumecheng-1065	118	2	30	30	NUM
fumecheng-1065	118	3	)	)	PUNCT
fumecheng-1065	118	4	it	it	PRON
fumecheng-1065	118	5	is	be	AUX
fumecheng-1065	118	6	obvious	obvious	ADJ
fumecheng-1065	118	7	that	that	SCONJ
fumecheng-1065	118	8	this	this	DET
fumecheng-1065	118	9	equation	equation	NOUN
fumecheng-1065	118	10	can	can	AUX
fumecheng-1065	118	11	also	also	ADV
fumecheng-1065	118	12	be	be	AUX
fumecheng-1065	118	13	interpreted	interpret	VERB
fumecheng-1065	118	14	within	within	ADP
fumecheng-1065	118	15	a	a	DET
fumecheng-1065	118	16	one	one	NUM
fumecheng-1065	118	17	-	-	PUNCT
fumecheng-1065	118	18	dimensional	dimensional	ADJ
fumecheng-1065	118	19	model	model	NOUN
fumecheng-1065	118	20	.	.	PUNCT
fumecheng-1065	119	1	application	application	NOUN
fumecheng-1065	119	2	of	of	ADP
fumecheng-1065	119	3	the	the	DET
fumecheng-1065	119	4	method	method	NOUN
fumecheng-1065	119	5	of	of	ADP
fumecheng-1065	119	6	dimensionality	dimensionality	NOUN
fumecheng-1065	119	7	reduction	reduction	NOUN
fumecheng-1065	119	8	to	to	ADP
fumecheng-1065	119	9	contacts	contact	NOUN
fumecheng-1065	119	10	under	under	ADP
fumecheng-1065	119	11	normal	normal	ADJ
fumecheng-1065	119	12	and	and	CCONJ
fumecheng-1065	119	13	torsional	torsional	ADJ
fumecheng-1065	119	14	loading	loading	NOUN
fumecheng-1065	119	15	87	87	NUM
fumecheng-1065	119	16	let	let	VERB
fumecheng-1065	119	17	us	we	PRON
fumecheng-1065	119	18	assume	assume	VERB
fumecheng-1065	119	19	an	an	DET
fumecheng-1065	119	20	elastic	elastic	ADJ
fumecheng-1065	119	21	foundation	foundation	NOUN
fumecheng-1065	119	22	with	with	ADP
fumecheng-1065	119	23	tangential	tangential	ADJ
fumecheng-1065	119	24	stiffness	stiffness	NOUN
fumecheng-1065	120	1	8yk	8yk	NOUN
fumecheng-1065	120	2	g	g	PROPN
fumecheng-1065	120	3	x	x	NOUN
fumecheng-1065	120	4			NUM
fumecheng-1065	120	5			X
fumecheng-1065	120	6	.	.	PUNCT
fumecheng-1065	121	1	(	(	PUNCT
fumecheng-1065	121	2	31	31	NUM
fumecheng-1065	121	3	)	)	PUNCT
fumecheng-1065	121	4	the	the	DET
fumecheng-1065	121	5	force	force	NOUN
fumecheng-1065	121	6	of	of	ADP
fumecheng-1065	121	7	a	a	DET
fumecheng-1065	121	8	single	single	ADJ
fumecheng-1065	121	9	spring	spring	NOUN
fumecheng-1065	121	10	is	be	AUX
fumecheng-1065	121	11	given	give	VERB
fumecheng-1065	121	12	by	by	ADP
fumecheng-1065	121	13	(	(	PUNCT
fumecheng-1065	121	14	)	)	PUNCT
fumecheng-1065	121	15	y	y	PROPN
fumecheng-1065	121	16	y	y	PROPN
fumecheng-1065	121	17	yf	yf	INTJ
fumecheng-1065	122	1	k	k	PROPN
fumecheng-1065	122	2	u	u	PROPN
fumecheng-1065	122	3	x	x	VERB
fumecheng-1065	122	4			NUM
fumecheng-1065	122	5			X
fumecheng-1065	122	6	(	(	PUNCT
fumecheng-1065	122	7	32	32	NUM
fumecheng-1065	122	8	)	)	PUNCT
fumecheng-1065	122	9	and	and	CCONJ
fumecheng-1065	122	10	the	the	DET
fumecheng-1065	122	11	resulting	result	VERB
fumecheng-1065	122	12	torsional	torsional	ADJ
fumecheng-1065	122	13	moment	moment	NOUN
fumecheng-1065	122	14	by	by	ADP
fumecheng-1065	122	15	8	8	NUM
fumecheng-1065	122	16	(	(	PUNCT
fumecheng-1065	122	17	)	)	PUNCT
fumecheng-1065	122	18	z	z	NOUN
fumecheng-1065	122	19	ym	ym	NOUN
fumecheng-1065	122	20	gxu	gxu	NOUN
fumecheng-1065	122	21	x	x	PART
fumecheng-1065	122	22	x	x	VERB
fumecheng-1065	122	23			NUM
fumecheng-1065	122	24			X
fumecheng-1065	122	25	.	.	PUNCT
fumecheng-1065	123	1	(	(	PUNCT
fumecheng-1065	123	2	33	33	NUM
fumecheng-1065	123	3	)	)	PUNCT
fumecheng-1065	123	4	the	the	DET
fumecheng-1065	123	5	total	total	ADJ
fumecheng-1065	123	6	moment	moment	NOUN
fumecheng-1065	123	7	can	can	AUX
fumecheng-1065	123	8	be	be	AUX
fumecheng-1065	123	9	calculated	calculate	VERB
fumecheng-1065	123	10	again	again	ADV
fumecheng-1065	123	11	by	by	ADP
fumecheng-1065	123	12	integration	integration	NOUN
fumecheng-1065	123	13	and	and	CCONJ
fumecheng-1065	123	14	will	will	AUX
fumecheng-1065	123	15	be	be	AUX
fumecheng-1065	123	16	0	0	NUM
fumecheng-1065	123	17	8	8	NUM
fumecheng-1065	123	18	(	(	PUNCT
fumecheng-1065	123	19	)	)	PUNCT
fumecheng-1065	124	1	d	d	SYM
fumecheng-1065	124	2	16	16	NUM
fumecheng-1065	124	3	(	(	PUNCT
fumecheng-1065	124	4	)	)	PUNCT
fumecheng-1065	124	5	d	d	NOUN
fumecheng-1065	124	6	,	,	PUNCT
fumecheng-1065	124	7	a	a	DET
fumecheng-1065	124	8	a	a	DET
fumecheng-1065	124	9	z	z	NOUN
fumecheng-1065	124	10	y	y	PROPN
fumecheng-1065	124	11	y	y	PROPN
fumecheng-1065	124	12	a	a	DET
fumecheng-1065	124	13	m	m	NOUN
fumecheng-1065	124	14	g	g	NOUN
fumecheng-1065	124	15	x	x	X
fumecheng-1065	124	16	u	u	NOUN
fumecheng-1065	124	17	x	x	NOUN
fumecheng-1065	124	18	x	x	X
fumecheng-1065	124	19	g	g	NOUN
fumecheng-1065	124	20	x	x	X
fumecheng-1065	124	21	u	u	NOUN
fumecheng-1065	124	22	x	x	X
fumecheng-1065	124	23	x	x	SYM
fumecheng-1065	124	24			VERB
fumecheng-1065	124	25			NOUN
fumecheng-1065	124	26			NUM
fumecheng-1065	124	27			ADJ
fumecheng-1065	124	28			PROPN
fumecheng-1065	124	29			PUNCT
fumecheng-1065	124	30	(	(	PUNCT
fumecheng-1065	124	31	34	34	NUM
fumecheng-1065	124	32	)	)	PUNCT
fumecheng-1065	124	33	which	which	PRON
fumecheng-1065	124	34	coincides	coincide	VERB
fumecheng-1065	124	35	with	with	ADP
fumecheng-1065	124	36	(	(	PUNCT
fumecheng-1065	124	37	30	30	NUM
fumecheng-1065	124	38	)	)	PUNCT
fumecheng-1065	124	39	.	.	PUNCT
fumecheng-1065	125	1	to	to	PART
fumecheng-1065	125	2	complete	complete	VERB
fumecheng-1065	125	3	the	the	DET
fumecheng-1065	125	4	solution	solution	NOUN
fumecheng-1065	125	5	of	of	ADP
fumecheng-1065	125	6	the	the	DET
fumecheng-1065	125	7	described	describe	VERB
fumecheng-1065	125	8	torsional	torsional	ADJ
fumecheng-1065	125	9	contact	contact	NOUN
fumecheng-1065	125	10	problem	problem	NOUN
fumecheng-1065	125	11	,	,	PUNCT
fumecheng-1065	125	12	let	let	VERB
fumecheng-1065	125	13	us	we	PRON
fumecheng-1065	125	14	calculate	calculate	VERB
fumecheng-1065	125	15	function	function	NOUN
fumecheng-1065	125	16	(a	(a	PROPN
fumecheng-1065	125	17	)	)	PUNCT
fumecheng-1065	125	18	and	and	CCONJ
fumecheng-1065	125	19	the	the	DET
fumecheng-1065	125	20	stress	stress	NOUN
fumecheng-1065	125	21	distribution	distribution	NOUN
fumecheng-1065	125	22	.	.	PUNCT
fumecheng-1065	126	1	according	accord	VERB
fumecheng-1065	126	2	to	to	ADP
fumecheng-1065	126	3	(	(	PUNCT
fumecheng-1065	126	4	23	23	NUM
fumecheng-1065	126	5	)	)	PUNCT
fumecheng-1065	126	6	the	the	DET
fumecheng-1065	126	7	stress	stress	NOUN
fumecheng-1065	126	8	distribution	distribution	NOUN
fumecheng-1065	126	9	can	can	AUX
fumecheng-1065	126	10	–	–	PUNCT
fumecheng-1065	126	11	analogically	analogically	ADV
fumecheng-1065	126	12	to	to	ADP
fumecheng-1065	126	13	the	the	DET
fumecheng-1065	126	14	previous	previous	ADJ
fumecheng-1065	126	15	section	section	NOUN
fumecheng-1065	126	16	–	–	PUNCT
fumecheng-1065	126	17	be	be	AUX
fumecheng-1065	126	18	calculated	calculate	VERB
fumecheng-1065	126	19	from	from	ADP
fumecheng-1065	126	20	function	function	NOUN
fumecheng-1065	126	21	(	(	PUNCT
fumecheng-1065	126	22	)	)	PUNCT
fumecheng-1065	126	23	a	a	NOUN
fumecheng-1065	126	24	:	:	PUNCT
fumecheng-1065	126	25	2	2	NUM
fumecheng-1065	126	26	2	2	NUM
fumecheng-1065	126	27	4	4	NUM
fumecheng-1065	126	28	d	d	NOUN
fumecheng-1065	126	29	(	(	PUNCT
fumecheng-1065	126	30	)	)	PUNCT
fumecheng-1065	127	1	(	(	PUNCT
fumecheng-1065	127	2	)	)	PUNCT
fumecheng-1065	127	3	d	d	NOUN
fumecheng-1065	127	4	,	,	PUNCT
fumecheng-1065	127	5	d	d	X
fumecheng-1065	127	6	a	a	DET
fumecheng-1065	127	7	r	r	NOUN
fumecheng-1065	127	8	g	g	NOUN
fumecheng-1065	127	9	r	r	NOUN
fumecheng-1065	127	10	a	a	DET
fumecheng-1065	127	11	r	r	NOUN
fumecheng-1065	127	12	a	a	DET
fumecheng-1065	127	13	aa	aa	NOUN
fumecheng-1065	127	14	r	r	NOUN
fumecheng-1065	127	15			NOUN
fumecheng-1065	127	16			ADJ
fumecheng-1065	127	17			PROPN
fumecheng-1065	127	18			NOUN
fumecheng-1065	127	19			NOUN
fumecheng-1065	127	20			SYM
fumecheng-1065	127	21	(	(	PUNCT
fumecheng-1065	127	22	35	35	NUM
fumecheng-1065	127	23	)	)	PUNCT
fumecheng-1065	127	24	or	or	CCONJ
fumecheng-1065	127	25	with	with	ADP
fumecheng-1065	127	26	equation	equation	NOUN
fumecheng-1065	127	27	(	(	PUNCT
fumecheng-1065	127	28	28	28	NUM
fumecheng-1065	127	29	)	)	PUNCT
fumecheng-1065	127	30	2	2	NUM
fumecheng-1065	127	31	2	2	NUM
fumecheng-1065	127	32	(	(	PUNCT
fumecheng-1065	127	33	)	)	PUNCT
fumecheng-1065	127	34	(	(	PUNCT
fumecheng-1065	127	35	)	)	SYM
fumecheng-1065	127	36	4	4	NUM
fumecheng-1065	127	37	d	d	NOUN
fumecheng-1065	127	38	(	(	PUNCT
fumecheng-1065	127	39	)	)	PUNCT
fumecheng-1065	127	40	(	(	PUNCT
fumecheng-1065	127	41	)	)	PUNCT
fumecheng-1065	127	42	d	d	NOUN
fumecheng-1065	127	43	,	,	PUNCT
fumecheng-1065	128	1	d	d	X
fumecheng-1065	128	2	a	a	DET
fumecheng-1065	128	3	y	y	NOUN
fumecheng-1065	128	4	y	y	PROPN
fumecheng-1065	128	5	r	r	NOUN
fumecheng-1065	128	6	u	u	PROPN
fumecheng-1065	128	7	a	a	DET
fumecheng-1065	128	8	u	u	NOUN
fumecheng-1065	128	9	ag	ag	PROPN
fumecheng-1065	128	10	r	r	NOUN
fumecheng-1065	128	11	r	r	NOUN
fumecheng-1065	128	12	a	a	DET
fumecheng-1065	128	13	a	a	DET
fumecheng-1065	128	14	a	a	DET
fumecheng-1065	128	15	a	a	DET
fumecheng-1065	128	16	a	a	DET
fumecheng-1065	128	17	aa	aa	NOUN
fumecheng-1065	128	18	r	r	NOUN
fumecheng-1065	128	19			NOUN
fumecheng-1065	128	20			NUM
fumecheng-1065	128	21			PROPN
fumecheng-1065	128	22			PROPN
fumecheng-1065	128	23			PROPN
fumecheng-1065	128	24			PROPN
fumecheng-1065	128	25			PROPN
fumecheng-1065	128	26			PROPN
fumecheng-1065	128	27			ADP
fumecheng-1065	128	28			PROPN
fumecheng-1065	128	29			NOUN
fumecheng-1065	128	30			PROPN
fumecheng-1065	128	31			PROPN
fumecheng-1065	128	32			PROPN
fumecheng-1065	128	33			PROPN
fumecheng-1065	128	34			PROPN
fumecheng-1065	128	35			PUNCT
fumecheng-1065	128	36	(	(	PUNCT
fumecheng-1065	128	37	36	36	NUM
fumecheng-1065	128	38	)	)	PUNCT
fumecheng-1065	128	39	which	which	PRON
fumecheng-1065	128	40	is	be	AUX
fumecheng-1065	128	41	equivalent	equivalent	ADJ
fumecheng-1065	128	42	to	to	ADP
fumecheng-1065	128	43	2	2	NUM
fumecheng-1065	128	44	2	2	NUM
fumecheng-1065	128	45	2	2	NUM
fumecheng-1065	128	46	2	2	NUM
fumecheng-1065	128	47	(	(	PUNCT
fumecheng-1065	128	48	)	)	PUNCT
fumecheng-1065	128	49	(	(	PUNCT
fumecheng-1065	128	50	)	)	SYM
fumecheng-1065	128	51	4	4	NUM
fumecheng-1065	128	52	d	d	NOUN
fumecheng-1065	128	53	(	(	PUNCT
fumecheng-1065	128	54	)	)	PUNCT
fumecheng-1065	128	55	d	d	NOUN
fumecheng-1065	128	56	.	.	PUNCT
fumecheng-1065	129	1	d	d	X
fumecheng-1065	129	2	a	a	DET
fumecheng-1065	129	3	y	y	NOUN
fumecheng-1065	129	4	y	y	PROPN
fumecheng-1065	129	5	r	r	NOUN
fumecheng-1065	129	6	u	u	PROPN
fumecheng-1065	129	7	a	a	DET
fumecheng-1065	129	8	u	u	NOUN
fumecheng-1065	129	9	ag	ag	NOUN
fumecheng-1065	129	10	r	r	NOUN
fumecheng-1065	129	11	r	r	NOUN
fumecheng-1065	129	12	r	r	NOUN
fumecheng-1065	129	13	a	a	DET
fumecheng-1065	129	14	a	a	DET
fumecheng-1065	129	15	a	a	DET
fumecheng-1065	129	16	aa	aa	NOUN
fumecheng-1065	129	17	r	r	NOUN
fumecheng-1065	129	18	a	a	DET
fumecheng-1065	129	19	r	r	NOUN
fumecheng-1065	129	20			NOUN
fumecheng-1065	129	21			NOUN
fumecheng-1065	129	22			PROPN
fumecheng-1065	129	23			PROPN
fumecheng-1065	129	24			PROPN
fumecheng-1065	129	25			PROPN
fumecheng-1065	129	26			PROPN
fumecheng-1065	129	27			PROPN
fumecheng-1065	129	28			VERB
fumecheng-1065	129	29			ADJ
fumecheng-1065	129	30			NOUN
fumecheng-1065	129	31			NOUN
fumecheng-1065	129	32			PROPN
fumecheng-1065	129	33			PROPN
fumecheng-1065	129	34			X
fumecheng-1065	129	35	(	(	PUNCT
fumecheng-1065	129	36	37	37	NUM
fumecheng-1065	129	37	)	)	PUNCT
fumecheng-1065	129	38	the	the	DET
fumecheng-1065	129	39	displacement	displacement	NOUN
fumecheng-1065	129	40	at	at	ADP
fumecheng-1065	129	41	the	the	DET
fumecheng-1065	129	42	edge	edge	NOUN
fumecheng-1065	129	43	of	of	ADP
fumecheng-1065	129	44	the	the	DET
fumecheng-1065	129	45	contact	contact	NOUN
fumecheng-1065	129	46	,	,	PUNCT
fumecheng-1065	129	47	i.e.	i.e.	X
fumecheng-1065	129	48	at	at	ADP
fumecheng-1065	129	49	r	r	NOUN
fumecheng-1065	129	50	a	a	DET
fumecheng-1065	129	51	a	a	NOUN
fumecheng-1065	129	52			INTJ
fumecheng-1065	129	53	,	,	PUNCT
fumecheng-1065	129	54	will	will	AUX
fumecheng-1065	129	55	be	be	AUX
fumecheng-1065	129	56	,	,	PUNCT
fumecheng-1065	129	57	according	accord	VERB
fumecheng-1065	129	58	to	to	ADP
fumecheng-1065	129	59	(	(	PUNCT
fumecheng-1065	129	60	22	22	NUM
fumecheng-1065	129	61	)	)	PUNCT
fumecheng-1065	129	62	,	,	PUNCT
fumecheng-1065	129	63	2	2	NUM
fumecheng-1065	129	64	2	2	NUM
fumecheng-1065	129	65	0	0	NUM
fumecheng-1065	129	66	2	2	NUM
fumecheng-1065	129	67	d	d	NOUN
fumecheng-1065	129	68	(	(	PUNCT
fumecheng-1065	129	69	)	)	PUNCT
fumecheng-1065	129	70	(	(	PUNCT
fumecheng-1065	129	71	)	)	PUNCT
fumecheng-1065	129	72	(	(	PUNCT
fumecheng-1065	129	73	(	(	PUNCT
fumecheng-1065	129	74	)	)	PUNCT
fumecheng-1065	129	75	)	)	PUNCT
fumecheng-1065	130	1	arcsin	arcsin	PROPN
fumecheng-1065	130	2	1	1	NUM
fumecheng-1065	130	3	d	d	NOUN
fumecheng-1065	130	4	.	.	PUNCT
fumecheng-1065	131	1	d	d	X
fumecheng-1065	131	2	a	a	DET
fumecheng-1065	131	3	a	a	DET
fumecheng-1065	131	4	a	a	DET
fumecheng-1065	131	5	a	a	DET
fumecheng-1065	131	6	u	u	NOUN
fumecheng-1065	131	7	a	a	PRON
fumecheng-1065	131	8	a	a	DET
fumecheng-1065	131	9	a	a	DET
fumecheng-1065	131	10	a	a	DET
fumecheng-1065	131	11	a	a	DET
fumecheng-1065	131	12	a	a	PRON
fumecheng-1065	131	13	a	a	PRON
fumecheng-1065	131	14	a	a	DET
fumecheng-1065	131	15	a	a	DET
fumecheng-1065	131	16			ADJ
fumecheng-1065	131	17			ADJ
fumecheng-1065	131	18			NOUN
fumecheng-1065	131	19			NOUN
fumecheng-1065	131	20			NOUN
fumecheng-1065	131	21			X
fumecheng-1065	131	22			NUM
fumecheng-1065	131	23			NUM
fumecheng-1065	131	24			PROPN
fumecheng-1065	131	25			PROPN
fumecheng-1065	132	1			PROPN
fumecheng-1065	132	2			NUM
fumecheng-1065	132	3			PROPN
fumecheng-1065	132	4			NOUN
fumecheng-1065	132	5			NOUN
fumecheng-1065	132	6			PROPN
fumecheng-1065	132	7			ADJ
fumecheng-1065	132	8			VERB
fumecheng-1065	132	9			NOUN
fumecheng-1065	132	10			PROPN
fumecheng-1065	132	11			X
fumecheng-1065	132	12	(	(	PUNCT
fumecheng-1065	132	13	38	38	NUM
fumecheng-1065	132	14	)	)	PUNCT
fumecheng-1065	132	15	in	in	ADP
fumecheng-1065	132	16	the	the	DET
fumecheng-1065	132	17	next	next	ADJ
fumecheng-1065	132	18	section	section	NOUN
fumecheng-1065	132	19	we	we	PRON
fumecheng-1065	132	20	will	will	AUX
fumecheng-1065	132	21	analyze	analyze	VERB
fumecheng-1065	132	22	the	the	DET
fumecheng-1065	132	23	case	case	NOUN
fumecheng-1065	132	24	of	of	ADP
fumecheng-1065	132	25	slip	slip	NOUN
fumecheng-1065	132	26	in	in	ADP
fumecheng-1065	132	27	the	the	DET
fumecheng-1065	132	28	contact	contact	NOUN
fumecheng-1065	132	29	area	area	NOUN
fumecheng-1065	132	30	.	.	PUNCT
fumecheng-1065	133	1	this	this	PRON
fumecheng-1065	133	2	will	will	AUX
fumecheng-1065	133	3	inevitably	inevitably	ADV
fumecheng-1065	133	4	lead	lead	VERB
fumecheng-1065	133	5	to	to	ADP
fumecheng-1065	133	6	requirement	requirement	NOUN
fumecheng-1065	133	7			NOUN
fumecheng-1065	133	8	(	(	PUNCT
fumecheng-1065	133	9	a	a	X
fumecheng-1065	133	10	)	)	PUNCT
fumecheng-1065	133	11	=	=	SYM
fumecheng-1065	134	1	0	0	X
fumecheng-1065	134	2	.	.	PUNCT
fumecheng-1065	135	1	this	this	PRON
fumecheng-1065	135	2	given	give	VERB
fumecheng-1065	135	3	,	,	PUNCT
fumecheng-1065	135	4	(	(	PUNCT
fumecheng-1065	135	5	27	27	NUM
fumecheng-1065	135	6	)	)	PUNCT
fumecheng-1065	135	7	can	can	AUX
fumecheng-1065	135	8	be	be	AUX
fumecheng-1065	135	9	written	write	VERB
fumecheng-1065	135	10	as	as	ADP
fumecheng-1065	135	11	(	(	PUNCT
fumecheng-1065	135	12	)	)	PUNCT
fumecheng-1065	135	13	(	(	PUNCT
fumecheng-1065	135	14	(	(	PUNCT
fumecheng-1065	135	15	)	)	PUNCT
fumecheng-1065	135	16	)	)	PUNCT
fumecheng-1065	135	17	yu	yu	PROPN
fumecheng-1065	135	18	x	x	PUNCT
fumecheng-1065	135	19	x	x	SYM
fumecheng-1065	135	20	x	x	ADJ
fumecheng-1065	135	21			PROPN
fumecheng-1065	135	22	(	(	PUNCT
fumecheng-1065	135	23	39	39	NUM
fumecheng-1065	135	24	)	)	PUNCT
fumecheng-1065	135	25	and	and	CCONJ
fumecheng-1065	135	26	partial	partial	ADJ
fumecheng-1065	135	27	integration	integration	NOUN
fumecheng-1065	135	28	of	of	ADP
fumecheng-1065	135	29	(	(	PUNCT
fumecheng-1065	135	30	38	38	NUM
fumecheng-1065	135	31	)	)	PUNCT
fumecheng-1065	135	32	will	will	AUX
fumecheng-1065	135	33	give	give	VERB
fumecheng-1065	135	34	2	2	NUM
fumecheng-1065	135	35	2	2	NUM
fumecheng-1065	135	36	2	2	NUM
fumecheng-1065	135	37	2	2	NUM
fumecheng-1065	135	38	0	0	NUM
fumecheng-1065	135	39	4	4	NUM
fumecheng-1065	135	40	(	(	PUNCT
fumecheng-1065	135	41	)	)	PUNCT
fumecheng-1065	136	1	(	(	PUNCT
fumecheng-1065	136	2	)	)	PUNCT
fumecheng-1065	136	3	d	d	X
fumecheng-1065	136	4	.	.	PUNCT
fumecheng-1065	137	1	a	a	DET
fumecheng-1065	137	2	a	a	DET
fumecheng-1065	137	3	a	a	DET
fumecheng-1065	137	4	a	a	DET
fumecheng-1065	137	5	a	a	DET
fumecheng-1065	137	6	a	a	DET
fumecheng-1065	137	7	a	a	DET
fumecheng-1065	137	8	a	a	DET
fumecheng-1065	137	9			NOUN
fumecheng-1065	137	10			ADJ
fumecheng-1065	137	11			ADJ
fumecheng-1065	137	12			NOUN
fumecheng-1065	137	13			NOUN
fumecheng-1065	137	14			SYM
fumecheng-1065	137	15	(	(	PUNCT
fumecheng-1065	137	16	40	40	NUM
fumecheng-1065	137	17	)	)	PUNCT
fumecheng-1065	137	18	this	this	PRON
fumecheng-1065	137	19	is	be	AUX
fumecheng-1065	137	20	again	again	ADV
fumecheng-1065	137	21	an	an	DET
fumecheng-1065	137	22	abel	abel	PROPN
fumecheng-1065	137	23	integration	integration	NOUN
fumecheng-1065	137	24	equation	equation	NOUN
fumecheng-1065	137	25	,	,	PUNCT
fumecheng-1065	137	26	which	which	PRON
fumecheng-1065	137	27	can	can	AUX
fumecheng-1065	137	28	be	be	AUX
fumecheng-1065	137	29	inverted	invert	VERB
fumecheng-1065	137	30	[	[	X
fumecheng-1065	137	31	12	12	NUM
fumecheng-1065	137	32	]	]	X
fumecheng-1065	137	33	:	:	PUNCT
fumecheng-1065	137	34	2	2	NUM
fumecheng-1065	137	35	2	2	NUM
fumecheng-1065	137	36	2	2	NUM
fumecheng-1065	137	37	0	0	NUM
fumecheng-1065	137	38	1	1	NUM
fumecheng-1065	137	39	d	d	NOUN
fumecheng-1065	137	40	d	d	PROPN
fumecheng-1065	137	41	(	(	PUNCT
fumecheng-1065	137	42	)	)	PUNCT
fumecheng-1065	137	43	(	(	PUNCT
fumecheng-1065	137	44	(	(	PUNCT
fumecheng-1065	137	45	)	)	PUNCT
fumecheng-1065	137	46	)	)	PUNCT
fumecheng-1065	137	47	.	.	PUNCT
fumecheng-1065	138	1	2	2	NUM
fumecheng-1065	138	2	d	d	NOUN
fumecheng-1065	138	3	a	a	DET
fumecheng-1065	138	4	r	r	NOUN
fumecheng-1065	138	5	a	a	DET
fumecheng-1065	138	6	r	r	NOUN
fumecheng-1065	138	7	r	r	NOUN
fumecheng-1065	138	8	a	a	DET
fumecheng-1065	138	9	r	r	NOUN
fumecheng-1065	138	10	a	a	DET
fumecheng-1065	138	11	r	r	NOUN
fumecheng-1065	138	12			NOUN
fumecheng-1065	138	13			PROPN
fumecheng-1065	138	14			NOUN
fumecheng-1065	138	15			SYM
fumecheng-1065	138	16	(	(	PUNCT
fumecheng-1065	138	17	41	41	NUM
fumecheng-1065	138	18	)	)	PUNCT
fumecheng-1065	138	19	88	88	NUM
fumecheng-1065	138	20	e.	e.	PROPN
fumecheng-1065	138	21	willert	willert	PROPN
fumecheng-1065	138	22	,	,	PUNCT
fumecheng-1065	138	23	m.	m.	NOUN
fumecheng-1065	138	24	hess	hess	PROPN
fumecheng-1065	138	25	,	,	PUNCT
fumecheng-1065	138	26	v.l	v.l	PROPN
fumecheng-1065	138	27	.	.	PROPN
fumecheng-1065	138	28	popov	popov	PROPN
fumecheng-1065	138	29	4	4	NUM
fumecheng-1065	138	30	.	.	PUNCT
fumecheng-1065	138	31	torsional	torsional	ADJ
fumecheng-1065	138	32	contact	contact	NOUN
fumecheng-1065	138	33	with	with	ADP
fumecheng-1065	138	34	a	a	DET
fumecheng-1065	138	35	narrow	narrow	ADJ
fumecheng-1065	138	36	slip	slip	NOUN
fumecheng-1065	138	37	region	region	NOUN
fumecheng-1065	138	38	the	the	DET
fumecheng-1065	138	39	boundary	boundary	ADJ
fumecheng-1065	138	40	conditions	condition	NOUN
fumecheng-1065	138	41	at	at	ADP
fumecheng-1065	138	42	the	the	DET
fumecheng-1065	138	43	surface	surface	NOUN
fumecheng-1065	138	44	of	of	ADP
fumecheng-1065	138	45	the	the	DET
fumecheng-1065	138	46	half	half	ADJ
fumecheng-1065	138	47	space	space	NOUN
fumecheng-1065	138	48	in	in	ADP
fumecheng-1065	138	49	the	the	DET
fumecheng-1065	138	50	presence	presence	NOUN
fumecheng-1065	138	51	of	of	ADP
fumecheng-1065	138	52	slip	slip	NOUN
fumecheng-1065	138	53	can	can	AUX
fumecheng-1065	138	54	generally	generally	ADV
fumecheng-1065	138	55	be	be	AUX
fumecheng-1065	138	56	written	write	VERB
fumecheng-1065	138	57	in	in	ADP
fumecheng-1065	138	58	the	the	DET
fumecheng-1065	138	59	form	form	NOUN
fumecheng-1065	138	60	(	(	PUNCT
fumecheng-1065	138	61	)	)	PUNCT
fumecheng-1065	138	62	0	0	NUM
fumecheng-1065	138	63	,	,	PUNCT
fumecheng-1065	138	64	for	for	ADP
fumecheng-1065	138	65	,	,	PUNCT
fumecheng-1065	138	66	(	(	PUNCT
fumecheng-1065	138	67	)	)	PUNCT
fumecheng-1065	138	68	(	(	PUNCT
fumecheng-1065	138	69	)	)	PUNCT
fumecheng-1065	138	70	,	,	PUNCT
fumecheng-1065	138	71	for	for	ADP
fumecheng-1065	138	72	r	r	NOUN
fumecheng-1065	138	73	r	r	NOUN
fumecheng-1065	138	74	c	c	NOUN
fumecheng-1065	138	75	r	r	NOUN
fumecheng-1065	138	76	p	p	NOUN
fumecheng-1065	138	77	r	r	NOUN
fumecheng-1065	138	78	c	c	NOUN
fumecheng-1065	138	79	r	r	NOUN
fumecheng-1065	138	80	a	a	DET
fumecheng-1065	138	81			NOUN
fumecheng-1065	138	82			NOUN
fumecheng-1065	138	83			NOUN
fumecheng-1065	138	84			PRON
fumecheng-1065	138	85			PROPN
fumecheng-1065	139	1			NUM
fumecheng-1065	140	1			PROPN
fumecheng-1065	140	2			PROPN
fumecheng-1065	140	3	,	,	PUNCT
fumecheng-1065	140	4	(	(	PUNCT
fumecheng-1065	140	5	42	42	NUM
fumecheng-1065	140	6	)	)	PUNCT
fumecheng-1065	140	7	with	with	ADP
fumecheng-1065	140	8	the	the	DET
fumecheng-1065	140	9	radius	radius	NOUN
fumecheng-1065	140	10	of	of	ADP
fumecheng-1065	140	11	stick	stick	PROPN
fumecheng-1065	140	12	domain	domain	PROPN
fumecheng-1065	140	13	c	c	PROPN
fumecheng-1065	140	14	and	and	CCONJ
fumecheng-1065	140	15	coefficient	coefficient	NOUN
fumecheng-1065	140	16	of	of	ADP
fumecheng-1065	140	17	friction	friction	NOUN
fumecheng-1065	140	18	.	.	NOUN
fumecheng-1065	140	19	from	from	ADP
fumecheng-1065	140	20	(	(	PUNCT
fumecheng-1065	140	21	41	41	NUM
fumecheng-1065	140	22	)	)	PUNCT
fumecheng-1065	140	23	it	it	PRON
fumecheng-1065	140	24	is	be	AUX
fumecheng-1065	140	25	obvious	obvious	ADJ
fumecheng-1065	140	26	that	that	SCONJ
fumecheng-1065	140	27	(	(	PUNCT
fumecheng-1065	140	28	)	)	PUNCT
fumecheng-1065	140	29	0	0	NUM
fumecheng-1065	140	30	,	,	PUNCT
fumecheng-1065	140	31	for	for	ADP
fumecheng-1065	140	32	x	x	SYM
fumecheng-1065	140	33	x	x	VERB
fumecheng-1065	140	34	c	c	ADV
fumecheng-1065	140	35			NOUN
fumecheng-1065	140	36			PROPN
fumecheng-1065	140	37	.	.	PUNCT
fumecheng-1065	141	1	(	(	PUNCT
fumecheng-1065	141	2	43	43	NUM
fumecheng-1065	141	3	)	)	PUNCT
fumecheng-1065	141	4	hence	hence	ADV
fumecheng-1065	141	5	,	,	PUNCT
fumecheng-1065	141	6	the	the	DET
fumecheng-1065	141	7	shear	shear	NOUN
fumecheng-1065	141	8	stresses	stress	VERB
fumecheng-1065	141	9	within	within	ADP
fumecheng-1065	141	10	the	the	DET
fumecheng-1065	141	11	contact	contact	NOUN
fumecheng-1065	141	12	area	area	NOUN
fumecheng-1065	141	13	will	will	AUX
fumecheng-1065	141	14	be	be	AUX
fumecheng-1065	141	15	2	2	NUM
fumecheng-1065	141	16	2	2	NUM
fumecheng-1065	141	17	2	2	NUM
fumecheng-1065	141	18	2	2	NUM
fumecheng-1065	141	19	d	d	NOUN
fumecheng-1065	141	20	(	(	PUNCT
fumecheng-1065	141	21	)	)	PUNCT
fumecheng-1065	141	22	d	d	NOUN
fumecheng-1065	141	23	,	,	PUNCT
fumecheng-1065	141	24	for	for	ADP
fumecheng-1065	141	25	d	d	PROPN
fumecheng-1065	141	26	(	(	PUNCT
fumecheng-1065	141	27	)	)	PUNCT
fumecheng-1065	141	28	d	d	NOUN
fumecheng-1065	141	29	(	(	PUNCT
fumecheng-1065	141	30	)	)	PUNCT
fumecheng-1065	141	31	d	d	NOUN
fumecheng-1065	141	32	,	,	PUNCT
fumecheng-1065	141	33	for	for	ADP
fumecheng-1065	141	34	d	d	PROPN
fumecheng-1065	141	35	4	4	NUM
fumecheng-1065	141	36	4	4	NUM
fumecheng-1065	141	37	a	a	DET
fumecheng-1065	141	38	c	c	NOUN
fumecheng-1065	141	39	a	a	DET
fumecheng-1065	141	40	r	r	NOUN
fumecheng-1065	141	41	g	g	NOUN
fumecheng-1065	141	42	r	r	NOUN
fumecheng-1065	141	43	a	a	DET
fumecheng-1065	141	44	r	r	NOUN
fumecheng-1065	141	45	g	g	NOUN
fumecheng-1065	141	46	r	r	NOUN
fumecheng-1065	141	47	a	a	PRON
fumecheng-1065	141	48	a	a	DET
fumecheng-1065	141	49	a	a	DET
fumecheng-1065	141	50	r	r	NOUN
fumecheng-1065	141	51	c	c	NOUN
fumecheng-1065	141	52	a	a	DET
fumecheng-1065	141	53	r	r	NOUN
fumecheng-1065	141	54	a	a	DET
fumecheng-1065	141	55	r	r	NOUN
fumecheng-1065	141	56	a	a	DET
fumecheng-1065	141	57	c	c	NOUN
fumecheng-1065	141	58	r	r	NOUN
fumecheng-1065	141	59	a	a	DET
fumecheng-1065	141	60	a	a	DET
fumecheng-1065	141	61			ADJ
fumecheng-1065	141	62			ADJ
fumecheng-1065	141	63			NOUN
fumecheng-1065	141	64			ADP
fumecheng-1065	141	65			NOUN
fumecheng-1065	141	66			PROPN
fumecheng-1065	141	67			NUM
fumecheng-1065	141	68			NOUN
fumecheng-1065	141	69			NUM
fumecheng-1065	141	70			NOUN
fumecheng-1065	141	71			PROPN
fumecheng-1065	141	72			NUM
fumecheng-1065	141	73			PROPN
fumecheng-1065	141	74			PROPN
fumecheng-1065	141	75			PROPN
fumecheng-1065	141	76			PROPN
fumecheng-1065	141	77			PUNCT
fumecheng-1065	141	78			X
fumecheng-1065	141	79	.	.	PUNCT
fumecheng-1065	142	1	(	(	PUNCT
fumecheng-1065	142	2	44	44	NUM
fumecheng-1065	142	3	)	)	PUNCT
fumecheng-1065	142	4	note	note	NOUN
fumecheng-1065	142	5	,	,	PUNCT
fumecheng-1065	142	6	that	that	SCONJ
fumecheng-1065	142	7	(	(	PUNCT
fumecheng-1065	142	8	44	44	NUM
fumecheng-1065	142	9	)	)	PUNCT
fumecheng-1065	142	10	can	can	AUX
fumecheng-1065	142	11	always	always	ADV
fumecheng-1065	142	12	be	be	AUX
fumecheng-1065	142	13	written	write	VERB
fumecheng-1065	142	14	in	in	ADP
fumecheng-1065	142	15	the	the	DET
fumecheng-1065	142	16	form	form	NOUN
fumecheng-1065	142	17			PUNCT
fumecheng-1065	142	18			PROPN
fumecheng-1065	142	19	(	(	PUNCT
fumecheng-1065	142	20	)	)	PUNCT
fumecheng-1065	142	21	(	(	PUNCT
fumecheng-1065	142	22	)	)	PUNCT
fumecheng-1065	142	23	,	,	PUNCT
fumecheng-1065	142	24	for	for	ADP
fumecheng-1065	142	25	(	(	PUNCT
fumecheng-1065	142	26	)	)	PUNCT
fumecheng-1065	142	27	(	(	PUNCT
fumecheng-1065	142	28	)	)	PUNCT
fumecheng-1065	142	29	,	,	PUNCT
fumecheng-1065	142	30	for	for	ADP
fumecheng-1065	142	31	a	a	DET
fumecheng-1065	142	32	c	c	NOUN
fumecheng-1065	143	1	a	a	DET
fumecheng-1065	143	2	p	p	NOUN
fumecheng-1065	143	3	r	r	NOUN
fumecheng-1065	143	4	p	p	NOUN
fumecheng-1065	143	5	r	r	NOUN
fumecheng-1065	143	6	r	r	NOUN
fumecheng-1065	143	7	c	c	NOUN
fumecheng-1065	143	8	r	r	NOUN
fumecheng-1065	143	9	p	p	NOUN
fumecheng-1065	143	10	r	r	NOUN
fumecheng-1065	143	11	c	c	NOUN
fumecheng-1065	143	12	r	r	NOUN
fumecheng-1065	143	13	a	a	DET
fumecheng-1065	143	14			NOUN
fumecheng-1065	143	15			NOUN
fumecheng-1065	143	16			NOUN
fumecheng-1065	143	17			ADP
fumecheng-1065	143	18			VERB
fumecheng-1065	143	19			PROPN
fumecheng-1065	143	20			NUM
fumecheng-1065	144	1			NUM
fumecheng-1065	144	2			PROPN
fumecheng-1065	144	3			VERB
fumecheng-1065	144	4	.	.	PUNCT
fumecheng-1065	145	1	(	(	PUNCT
fumecheng-1065	145	2	45	45	NUM
fumecheng-1065	145	3	)	)	PUNCT
fumecheng-1065	145	4	here	here	ADV
fumecheng-1065	145	5	pa(r	pa(r	NOUN
fumecheng-1065	145	6	)	)	PUNCT
fumecheng-1065	145	7	and	and	CCONJ
fumecheng-1065	145	8	pc(r	pc(r	NOUN
fumecheng-1065	145	9	)	)	PUNCT
fumecheng-1065	145	10	denote	denote	VERB
fumecheng-1065	145	11	known	know	VERB
fumecheng-1065	145	12	pressure	pressure	NOUN
fumecheng-1065	145	13	distribution	distribution	NOUN
fumecheng-1065	145	14	p(r	p(r	PROPN
fumecheng-1065	145	15	)	)	PUNCT
fumecheng-1065	145	16	with	with	ADP
fumecheng-1065	145	17	respective	respective	ADJ
fumecheng-1065	145	18	contact	contact	NOUN
fumecheng-1065	145	19	radii	radii	VERB
fumecheng-1065	145	20	a	a	PRON
fumecheng-1065	145	21	and	and	CCONJ
fumecheng-1065	145	22	c.	c.	NOUN
fumecheng-1065	145	23	thus	thus	ADV
fumecheng-1065	145	24	the	the	DET
fumecheng-1065	145	25	shear	shear	NOUN
fumecheng-1065	145	26	stress	stress	ADJ
fumecheng-1065	145	27	distribution	distribution	NOUN
fumecheng-1065	145	28	in	in	ADP
fumecheng-1065	145	29	the	the	DET
fumecheng-1065	145	30	whole	whole	ADJ
fumecheng-1065	145	31	contact	contact	NOUN
fumecheng-1065	145	32	area	area	NOUN
fumecheng-1065	145	33	is	be	AUX
fumecheng-1065	145	34	known	know	VERB
fumecheng-1065	145	35	.	.	PUNCT
fumecheng-1065	146	1	the	the	DET
fumecheng-1065	146	2	contact	contact	NOUN
fumecheng-1065	146	3	problem	problem	NOUN
fumecheng-1065	146	4	will	will	AUX
fumecheng-1065	146	5	be	be	AUX
fumecheng-1065	146	6	solved	solve	VERB
fumecheng-1065	146	7	completely	completely	ADV
fumecheng-1065	146	8	,	,	PUNCT
fumecheng-1065	146	9	if	if	SCONJ
fumecheng-1065	146	10	the	the	DET
fumecheng-1065	146	11	integral	integral	ADJ
fumecheng-1065	146	12	equation	equation	NOUN
fumecheng-1065	146	13	2	2	NUM
fumecheng-1065	146	14	*	*	SYM
fumecheng-1065	146	15	22	22	NUM
fumecheng-1065	146	16	2	2	NUM
fumecheng-1065	146	17	d	d	NOUN
fumecheng-1065	146	18	(	(	PUNCT
fumecheng-1065	146	19	)	)	PUNCT
fumecheng-1065	146	20	1	1	NUM
fumecheng-1065	146	21	d	d	NOUN
fumecheng-1065	146	22	(	(	PUNCT
fumecheng-1065	146	23	)	)	PUNCT
fumecheng-1065	146	24	d	d	NOUN
fumecheng-1065	146	25	(	(	PUNCT
fumecheng-1065	146	26	d	d	NOUN
fumecheng-1065	146	27	4	4	NUM
fumecheng-1065	146	28	)	)	PUNCT
fumecheng-1065	147	1	d	d	PROPN
fumecheng-1065	147	2	d	d	PROPN
fumecheng-1065	147	3	a	a	PRON
fumecheng-1065	147	4	a	a	PRON
fumecheng-1065	147	5	a	a	DET
fumecheng-1065	147	6	r	r	NOUN
fumecheng-1065	147	7	r	r	NOUN
fumecheng-1065	147	8	a	a	DET
fumecheng-1065	147	9	e	e	NOUN
fumecheng-1065	147	10	g	g	PROPN
fumecheng-1065	147	11	ag	ag	PROPN
fumecheng-1065	147	12	r	r	NOUN
fumecheng-1065	147	13	a	a	DET
fumecheng-1065	147	14	r	r	NOUN
fumecheng-1065	147	15	a	a	DET
fumecheng-1065	147	16	p	p	NOUN
fumecheng-1065	147	17	r	r	NOUN
fumecheng-1065	147	18	a	a	DET
fumecheng-1065	147	19	a	a	DET
fumecheng-1065	147	20	aa	aa	NOUN
fumecheng-1065	147	21	r	r	NOUN
fumecheng-1065	147	22			NOUN
fumecheng-1065	147	23			NOUN
fumecheng-1065	148	1			ADP
fumecheng-1065	148	2			PROPN
fumecheng-1065	148	3			NUM
fumecheng-1065	148	4			PROPN
fumecheng-1065	148	5			PROPN
fumecheng-1065	148	6			PROPN
fumecheng-1065	148	7			X
fumecheng-1065	148	8			X
fumecheng-1065	148	9	(	(	PUNCT
fumecheng-1065	148	10	46	46	NUM
fumecheng-1065	148	11	)	)	PUNCT
fumecheng-1065	148	12	can	can	AUX
fumecheng-1065	148	13	be	be	AUX
fumecheng-1065	148	14	solved	solve	VERB
fumecheng-1065	148	15	for	for	ADP
fumecheng-1065	148	16	function	function	NOUN
fumecheng-1065	148	17	(	(	PUNCT
fumecheng-1065	148	18	)	)	PUNCT
fumecheng-1065	148	19	a	a	NOUN
fumecheng-1065	148	20	.	.	PUNCT
fumecheng-1065	149	1	in	in	ADP
fumecheng-1065	149	2	case	case	NOUN
fumecheng-1065	149	3	of	of	ADP
fumecheng-1065	149	4	a	a	DET
fumecheng-1065	149	5	very	very	ADV
fumecheng-1065	149	6	small	small	ADJ
fumecheng-1065	149	7	area	area	NOUN
fumecheng-1065	149	8	of	of	ADP
fumecheng-1065	149	9	the	the	DET
fumecheng-1065	149	10	slip	slip	NOUN
fumecheng-1065	149	11	domain	domain	NOUN
fumecheng-1065	149	12	,	,	PUNCT
fumecheng-1065	149	13	i.e.	i.e.	X
fumecheng-1065	149	14	if	if	SCONJ
fumecheng-1065	149	15	a	a	DET
fumecheng-1065	149	16	c	c	NOUN
fumecheng-1065	149	17	a	a	X
fumecheng-1065	149	18	,	,	PUNCT
fumecheng-1065	149	19	this	this	DET
fumecheng-1065	149	20	solution	solution	NOUN
fumecheng-1065	149	21	is	be	AUX
fumecheng-1065	149	22	elementary	elementary	ADJ
fumecheng-1065	149	23	,	,	PUNCT
fumecheng-1065	149	24	because	because	SCONJ
fumecheng-1065	149	25	r	r	NOUN
fumecheng-1065	149	26			NOUN
fumecheng-1065	149	27	a	a	NOUN
fumecheng-1065	149	28	and	and	CCONJ
fumecheng-1065	149	29	therefore	therefore	ADV
fumecheng-1065	149	30	d	d	PROPN
fumecheng-1065	149	31	d	d	PROPN
fumecheng-1065	149	32	,	,	PUNCT
fumecheng-1065	149	33	for	for	ADP
fumecheng-1065	149	34	g	g	PROPN
fumecheng-1065	149	35	c	c	PROPN
fumecheng-1065	149	36	x	x	PROPN
fumecheng-1065	149	37	a	a	PROPN
fumecheng-1065	149	38			NUM
fumecheng-1065	149	39			PROPN
fumecheng-1065	149	40			PROPN
fumecheng-1065	149	41	(	(	PUNCT
fumecheng-1065	149	42	47	47	NUM
fumecheng-1065	149	43	)	)	PUNCT
fumecheng-1065	149	44	with	with	ADP
fumecheng-1065	149	45	*	*	SYM
fumecheng-1065	149	46	4	4	NUM
fumecheng-1065	149	47	e	e	NOUN
fumecheng-1065	149	48	ga	ga	NOUN
fumecheng-1065	149	49			NOUN
fumecheng-1065	149	50			X
fumecheng-1065	149	51			NOUN
fumecheng-1065	149	52	.	.	PUNCT
fumecheng-1065	150	1	geometrically	geometrically	ADV
fumecheng-1065	150	2	,	,	PUNCT
fumecheng-1065	150	3	(	(	PUNCT
fumecheng-1065	150	4	47	47	NUM
fumecheng-1065	150	5	)	)	PUNCT
fumecheng-1065	150	6	together	together	ADV
fumecheng-1065	150	7	with	with	ADP
fumecheng-1065	150	8	(	(	PUNCT
fumecheng-1065	150	9	43	43	NUM
fumecheng-1065	150	10	)	)	PUNCT
fumecheng-1065	150	11	describes	describe	VERB
fumecheng-1065	150	12	the	the	DET
fumecheng-1065	150	13	following	follow	VERB
fumecheng-1065	150	14	indentation	indentation	NOUN
fumecheng-1065	150	15	process	process	NOUN
fumecheng-1065	150	16	:	:	PUNCT
fumecheng-1065	150	17	first	first	ADV
fumecheng-1065	150	18	the	the	DET
fumecheng-1065	150	19	indenter	indenter	NOUN
fumecheng-1065	150	20	is	be	AUX
fumecheng-1065	150	21	pressed	press	VERB
fumecheng-1065	150	22	into	into	ADP
fumecheng-1065	150	23	the	the	DET
fumecheng-1065	150	24	half	half	ADJ
fumecheng-1065	150	25	space	space	NOUN
fumecheng-1065	150	26	in	in	ADP
fumecheng-1065	150	27	a	a	DET
fumecheng-1065	150	28	pure	pure	ADJ
fumecheng-1065	150	29	normal	normal	ADJ
fumecheng-1065	150	30	direction	direction	NOUN
fumecheng-1065	150	31	until	until	SCONJ
fumecheng-1065	150	32	the	the	DET
fumecheng-1065	150	33	radius	radius	NOUN
fumecheng-1065	150	34	of	of	ADP
fumecheng-1065	150	35	stick	stick	PROPN
fumecheng-1065	150	36	domain	domain	PROPN
fumecheng-1065	150	37	c	c	PROPN
fumecheng-1065	150	38	is	be	AUX
fumecheng-1065	150	39	reached	reach	VERB
fumecheng-1065	150	40	.	.	PUNCT
fumecheng-1065	151	1	after	after	ADP
fumecheng-1065	151	2	that	that	PRON
fumecheng-1065	151	3	any	any	DET
fumecheng-1065	151	4	infinitesimal	infinitesimal	ADJ
fumecheng-1065	151	5	indentation	indentation	NOUN
fumecheng-1065	151	6	is	be	AUX
fumecheng-1065	151	7	a	a	DET
fumecheng-1065	151	8	superposition	superposition	NOUN
fumecheng-1065	151	9	of	of	ADP
fumecheng-1065	151	10	normal	normal	ADJ
fumecheng-1065	151	11	and	and	CCONJ
fumecheng-1065	151	12	torque	torque	NOUN
fumecheng-1065	151	13	loading	loading	NOUN
fumecheng-1065	151	14	,	,	PUNCT
fumecheng-1065	151	15	bound	bind	VERB
fumecheng-1065	151	16	by	by	ADP
fumecheng-1065	151	17	(	(	PUNCT
fumecheng-1065	151	18	47	47	NUM
fumecheng-1065	151	19	)	)	PUNCT
fumecheng-1065	151	20	.	.	PUNCT
fumecheng-1065	152	1	the	the	DET
fumecheng-1065	152	2	solution	solution	NOUN
fumecheng-1065	152	3	of	of	ADP
fumecheng-1065	152	4	(	(	PUNCT
fumecheng-1065	152	5	47	47	NUM
fumecheng-1065	152	6	)	)	PUNCT
fumecheng-1065	152	7	with	with	ADP
fumecheng-1065	152	8	the	the	DET
fumecheng-1065	152	9	boundary	boundary	ADJ
fumecheng-1065	152	10	conditions	condition	NOUN
fumecheng-1065	152	11	(	(	PUNCT
fumecheng-1065	152	12	24	24	NUM
fumecheng-1065	152	13	)	)	PUNCT
fumecheng-1065	152	14	and	and	CCONJ
fumecheng-1065	152	15	(	(	PUNCT
fumecheng-1065	152	16	5	5	X
fumecheng-1065	152	17	)	)	PUNCT
fumecheng-1065	152	18	is	be	AUX
fumecheng-1065	152	19	given	give	VERB
fumecheng-1065	152	20	by	by	ADP
fumecheng-1065	152	21	(	(	PUNCT
fumecheng-1065	152	22	)	)	PUNCT
fumecheng-1065	152	23	(	(	PUNCT
fumecheng-1065	152	24	(	(	PUNCT
fumecheng-1065	152	25	)	)	PUNCT
fumecheng-1065	152	26	)	)	PUNCT
fumecheng-1065	152	27	,	,	PUNCT
fumecheng-1065	152	28	for	for	ADP
fumecheng-1065	152	29	x	x	SYM
fumecheng-1065	152	30	g	g	NOUN
fumecheng-1065	152	31	x	x	PROPN
fumecheng-1065	152	32	d	d	X
fumecheng-1065	152	33	c	c	NOUN
fumecheng-1065	152	34	x	x	NOUN
fumecheng-1065	152	35	a	a	NOUN
fumecheng-1065	152	36			NOUN
fumecheng-1065	152	37			PROPN
fumecheng-1065	152	38			PUNCT
fumecheng-1065	152	39			PROPN
fumecheng-1065	152	40			PROPN
fumecheng-1065	152	41			PROPN
fumecheng-1065	152	42	.	.	PUNCT
fumecheng-1065	153	1	(	(	PUNCT
fumecheng-1065	153	2	48	48	NUM
fumecheng-1065	153	3	)	)	PUNCT
fumecheng-1065	153	4	application	application	NOUN
fumecheng-1065	153	5	of	of	ADP
fumecheng-1065	153	6	the	the	DET
fumecheng-1065	153	7	method	method	NOUN
fumecheng-1065	153	8	of	of	ADP
fumecheng-1065	153	9	dimensionality	dimensionality	NOUN
fumecheng-1065	153	10	reduction	reduction	NOUN
fumecheng-1065	153	11	to	to	ADP
fumecheng-1065	153	12	contacts	contact	NOUN
fumecheng-1065	153	13	under	under	ADP
fumecheng-1065	153	14	normal	normal	ADJ
fumecheng-1065	153	15	and	and	CCONJ
fumecheng-1065	153	16	torsional	torsional	ADJ
fumecheng-1065	153	17	loading	loading	NOUN
fumecheng-1065	153	18	89	89	NUM
fumecheng-1065	153	19	hence	hence	ADV
fumecheng-1065	153	20	,	,	PUNCT
fumecheng-1065	153	21	,	,	PUNCT
fumecheng-1065	153	22	for	for	ADP
fumecheng-1065	153	23	(	(	PUNCT
fumecheng-1065	153	24	)	)	PUNCT
fumecheng-1065	153	25	(	(	PUNCT
fumecheng-1065	153	26	)	)	PUNCT
fumecheng-1065	153	27	,	,	PUNCT
fumecheng-1065	153	28	for	for	ADP
fumecheng-1065	153	29	y	y	PROPN
fumecheng-1065	153	30	z	z	NOUN
fumecheng-1065	153	31	x	x	PUNCT
fumecheng-1065	153	32	c	c	NOUN
fumecheng-1065	153	33	u	u	NOUN
fumecheng-1065	153	34	x	x	X
fumecheng-1065	153	35	x	x	PUNCT
fumecheng-1065	153	36	u	u	NOUN
fumecheng-1065	153	37	x	x	X
fumecheng-1065	153	38	c	c	NOUN
fumecheng-1065	153	39	x	x	X
fumecheng-1065	153	40	a	a	DET
fumecheng-1065	153	41			ADJ
fumecheng-1065	153	42			ADJ
fumecheng-1065	153	43			NOUN
fumecheng-1065	153	44			PROPN
fumecheng-1065	153	45			NUM
fumecheng-1065	153	46			PROPN
fumecheng-1065	153	47			PROPN
fumecheng-1065	153	48	.	.	PUNCT
fumecheng-1065	154	1	(	(	PUNCT
fumecheng-1065	154	2	49	49	NUM
fumecheng-1065	154	3	)	)	PUNCT
fumecheng-1065	154	4	again	again	ADV
fumecheng-1065	154	5	,	,	PUNCT
fumecheng-1065	154	6	as	as	SCONJ
fumecheng-1065	154	7	we	we	PRON
fumecheng-1065	154	8	assumed	assume	VERB
fumecheng-1065	154	9	a	a	DET
fumecheng-1065	154	10	c	c	NOUN
fumecheng-1065	154	11	a	a	VERB
fumecheng-1065	154	12	,	,	PUNCT
fumecheng-1065	154	13	it	it	PRON
fumecheng-1065	154	14	is	be	AUX
fumecheng-1065	154	15	x	x	PUNCT
fumecheng-1065	154	16	a	a	ADP
fumecheng-1065	154	17	in	in	ADP
fumecheng-1065	154	18	the	the	DET
fumecheng-1065	154	19	slip	slip	NOUN
fumecheng-1065	154	20	domain	domain	NOUN
fumecheng-1065	154	21	and	and	CCONJ
fumecheng-1065	154	22	therefore	therefore	ADV
fumecheng-1065	154	23	*	*	X
fumecheng-1065	154	24	,	,	PUNCT
fumecheng-1065	154	25	for	for	ADP
fumecheng-1065	154	26	(	(	PUNCT
fumecheng-1065	154	27	)	)	PUNCT
fumecheng-1065	154	28	(	(	PUNCT
fumecheng-1065	154	29	)	)	PUNCT
fumecheng-1065	154	30	,	,	PUNCT
fumecheng-1065	154	31	for	for	ADP
fumecheng-1065	154	32	4	4	NUM
fumecheng-1065	154	33	y	y	NOUN
fumecheng-1065	154	34	z	z	NOUN
fumecheng-1065	154	35	x	x	PUNCT
fumecheng-1065	155	1	x	x	SYM
fumecheng-1065	155	2	c	c	NOUN
fumecheng-1065	155	3	u	u	NOUN
fumecheng-1065	155	4	x	x	X
fumecheng-1065	155	5	e	e	NOUN
fumecheng-1065	155	6	u	u	NOUN
fumecheng-1065	155	7	x	x	X
fumecheng-1065	155	8	c	c	NOUN
fumecheng-1065	155	9	x	x	X
fumecheng-1065	155	10	a	a	DET
fumecheng-1065	155	11	g	g	NOUN
fumecheng-1065	155	12			ADJ
fumecheng-1065	155	13			NOUN
fumecheng-1065	155	14			NOUN
fumecheng-1065	155	15			NUM
fumecheng-1065	155	16			NOUN
fumecheng-1065	155	17			NUM
fumecheng-1065	155	18			PROPN
fumecheng-1065	156	1			PROPN
fumecheng-1065	156	2			PROPN
fumecheng-1065	156	3	(	(	PUNCT
fumecheng-1065	156	4	50	50	NUM
fumecheng-1065	156	5	)	)	PUNCT
fumecheng-1065	156	6	if	if	SCONJ
fumecheng-1065	156	7	we	we	PRON
fumecheng-1065	156	8	choose	choose	VERB
fumecheng-1065	156	9			NOUN
fumecheng-1065	156	10	*	*	PUNCT
fumecheng-1065	156	11	=	=	NOUN
fumecheng-1065	156	12	2	2	NUM
fumecheng-1065	156	13	as	as	ADP
fumecheng-1065	156	14	the	the	DET
fumecheng-1065	156	15	equivalent	equivalent	ADJ
fumecheng-1065	156	16	coefficient	coefficient	NOUN
fumecheng-1065	156	17	of	of	ADP
fumecheng-1065	156	18	friction	friction	NOUN
fumecheng-1065	156	19	in	in	ADP
fumecheng-1065	156	20	the	the	DET
fumecheng-1065	156	21	mdr	mdr	PROPN
fumecheng-1065	156	22	-	-	NOUN
fumecheng-1065	156	23	model	model	NOUN
fumecheng-1065	156	24	for	for	ADP
fumecheng-1065	156	25	torsion	torsion	NOUN
fumecheng-1065	156	26	,	,	PUNCT
fumecheng-1065	156	27	(	(	PUNCT
fumecheng-1065	156	28	50	50	NUM
fumecheng-1065	156	29	)	)	PUNCT
fumecheng-1065	156	30	can	can	AUX
fumecheng-1065	156	31	be	be	AUX
fumecheng-1065	156	32	written	write	VERB
fumecheng-1065	156	33	in	in	ADP
fumecheng-1065	156	34	the	the	DET
fumecheng-1065	156	35	form	form	NOUN
fumecheng-1065	156	36	*	*	PUNCT
fumecheng-1065	156	37	,	,	PUNCT
fumecheng-1065	156	38	for	for	ADP
fumecheng-1065	156	39	(	(	PUNCT
fumecheng-1065	156	40	)	)	PUNCT
fumecheng-1065	156	41	(	(	PUNCT
fumecheng-1065	156	42	)	)	PUNCT
fumecheng-1065	156	43	,	,	PUNCT
fumecheng-1065	156	44	for	for	ADP
fumecheng-1065	156	45	y	y	PROPN
fumecheng-1065	156	46	z	z	PROPN
fumecheng-1065	156	47	z	z	PROPN
fumecheng-1065	157	1	y	y	NOUN
fumecheng-1065	157	2	x	x	PUNCT
fumecheng-1065	157	3	x	x	PUNCT
fumecheng-1065	157	4	c	c	NOUN
fumecheng-1065	157	5	u	u	NOUN
fumecheng-1065	157	6	x	x	X
fumecheng-1065	157	7	k	k	X
fumecheng-1065	157	8	u	u	X
fumecheng-1065	157	9	x	x	X
fumecheng-1065	157	10	c	c	NOUN
fumecheng-1065	157	11	x	x	X
fumecheng-1065	157	12	a	a	DET
fumecheng-1065	157	13	k	k	X
fumecheng-1065	157	14			ADJ
fumecheng-1065	157	15			NOUN
fumecheng-1065	157	16			NOUN
fumecheng-1065	157	17			NUM
fumecheng-1065	157	18			PROPN
fumecheng-1065	157	19			VERB
fumecheng-1065	157	20			PROPN
fumecheng-1065	157	21			PROPN
fumecheng-1065	157	22			PROPN
fumecheng-1065	157	23	.	.	PUNCT
fumecheng-1065	158	1	(	(	PUNCT
fumecheng-1065	158	2	51	51	NUM
fumecheng-1065	158	3	)	)	PUNCT
fumecheng-1065	158	4	the	the	DET
fumecheng-1065	158	5	radius	radius	NOUN
fumecheng-1065	158	6	of	of	ADP
fumecheng-1065	158	7	the	the	DET
fumecheng-1065	158	8	stick	stick	NOUN
fumecheng-1065	158	9	domain	domain	NOUN
fumecheng-1065	158	10	is	be	AUX
fumecheng-1065	158	11	given	give	VERB
fumecheng-1065	158	12	by	by	ADP
fumecheng-1065	158	13	*	*	PROPN
fumecheng-1065	158	14	*	*	PUNCT
fumecheng-1065	159	1	*	*	PUNCT
fumecheng-1065	159	2	8	8	NUM
fumecheng-1065	159	3	2	2	NUM
fumecheng-1065	159	4	(	(	PUNCT
fumecheng-1065	159	5	(	(	PUNCT
fumecheng-1065	159	6	)	)	PUNCT
fumecheng-1065	159	7	(	(	PUNCT
fumecheng-1065	159	8	)	)	PUNCT
fumecheng-1065	159	9	)	)	PUNCT
fumecheng-1065	160	1	(	(	PUNCT
fumecheng-1065	160	2	(	(	PUNCT
fumecheng-1065	160	3	)	)	PUNCT
fumecheng-1065	160	4	(	(	PUNCT
fumecheng-1065	160	5	)	)	PUNCT
fumecheng-1065	160	6	)	)	PUNCT
fumecheng-1065	160	7	g	g	NOUN
fumecheng-1065	160	8	c	c	PROPN
fumecheng-1065	160	9	e	e	X
fumecheng-1065	160	10	g	g	PROPN
fumecheng-1065	160	11	a	a	DET
fumecheng-1065	160	12	g	g	NOUN
fumecheng-1065	160	13	c	c	NOUN
fumecheng-1065	160	14	e	e	NOUN
fumecheng-1065	160	15	g	g	PROPN
fumecheng-1065	160	16	a	a	DET
fumecheng-1065	160	17	g	g	NOUN
fumecheng-1065	160	18	c	c	X
fumecheng-1065	160	19			NOUN
fumecheng-1065	160	20			NOUN
fumecheng-1065	160	21			PROPN
fumecheng-1065	160	22			PROPN
fumecheng-1065	160	23			PROPN
fumecheng-1065	160	24	,	,	PUNCT
fumecheng-1065	160	25	(	(	PUNCT
fumecheng-1065	160	26	52	52	NUM
fumecheng-1065	160	27	)	)	PUNCT
fumecheng-1065	160	28	which	which	PRON
fumecheng-1065	160	29	agrees	agree	VERB
fumecheng-1065	160	30	with	with	ADP
fumecheng-1065	160	31	the	the	DET
fumecheng-1065	160	32	condition	condition	NOUN
fumecheng-1065	160	33	of	of	ADP
fumecheng-1065	160	34	no	no	DET
fumecheng-1065	160	35	slip	slip	NOUN
fumecheng-1065	160	36	for	for	ADP
fumecheng-1065	160	37	the	the	DET
fumecheng-1065	160	38	springs	spring	NOUN
fumecheng-1065	160	39	at	at	ADP
fumecheng-1065	160	40	the	the	DET
fumecheng-1065	160	41	edge	edge	NOUN
fumecheng-1065	160	42	of	of	ADP
fumecheng-1065	160	43	the	the	DET
fumecheng-1065	160	44	stick	stick	NOUN
fumecheng-1065	160	45	domain	domain	NOUN
fumecheng-1065	160	46	in	in	ADP
fumecheng-1065	160	47	the	the	DET
fumecheng-1065	160	48	mdr	mdr	PROPN
fumecheng-1065	160	49	-	-	NOUN
fumecheng-1065	160	50	model	model	NOUN
fumecheng-1065	160	51	.	.	PUNCT
fumecheng-1065	161	1	that	that	PRON
fumecheng-1065	161	2	is	be	AUX
fumecheng-1065	161	3	why	why	SCONJ
fumecheng-1065	161	4	this	this	DET
fumecheng-1065	161	5	torsional	torsional	ADJ
fumecheng-1065	161	6	contact	contact	NOUN
fumecheng-1065	161	7	problem	problem	NOUN
fumecheng-1065	161	8	with	with	ADP
fumecheng-1065	161	9	a	a	DET
fumecheng-1065	161	10	finite	finite	ADJ
fumecheng-1065	161	11	coefficient	coefficient	NOUN
fumecheng-1065	161	12	of	of	ADP
fumecheng-1065	161	13	friction	friction	NOUN
fumecheng-1065	161	14	can	can	AUX
fumecheng-1065	161	15	be	be	AUX
fumecheng-1065	161	16	described	describe	VERB
fumecheng-1065	161	17	by	by	ADP
fumecheng-1065	161	18	the	the	DET
fumecheng-1065	161	19	mdr	mdr	PROPN
fumecheng-1065	161	20	.	.	PUNCT
fumecheng-1065	162	1	we	we	PRON
fumecheng-1065	162	2	emphasize	emphasize	VERB
fumecheng-1065	162	3	again	again	ADV
fumecheng-1065	162	4	that	that	SCONJ
fumecheng-1065	162	5	the	the	DET
fumecheng-1065	162	6	derivation	derivation	NOUN
fumecheng-1065	162	7	starting	start	VERB
fumecheng-1065	162	8	with	with	ADP
fumecheng-1065	162	9	(	(	PUNCT
fumecheng-1065	162	10	47	47	NUM
fumecheng-1065	162	11	)	)	PUNCT
fumecheng-1065	162	12	is	be	AUX
fumecheng-1065	162	13	only	only	ADV
fumecheng-1065	162	14	valid	valid	ADJ
fumecheng-1065	162	15	for	for	ADP
fumecheng-1065	162	16	a	a	DET
fumecheng-1065	162	17	c	c	NOUN
fumecheng-1065	162	18	a	a	PROPN
fumecheng-1065	162	19	.	.	PUNCT
fumecheng-1065	163	1	in	in	ADP
fumecheng-1065	163	2	the	the	DET
fumecheng-1065	163	3	case	case	NOUN
fumecheng-1065	163	4	of	of	ADP
fumecheng-1065	163	5	general	general	ADJ
fumecheng-1065	163	6	partial	partial	NOUN
fumecheng-1065	163	7	slip	slip	VERB
fumecheng-1065	163	8	the	the	DET
fumecheng-1065	163	9	solution	solution	NOUN
fumecheng-1065	163	10	for	for	ADP
fumecheng-1065	163	11			PROPN
fumecheng-1065	163	12	(	(	PUNCT
fumecheng-1065	163	13	a	a	NOUN
fumecheng-1065	163	14	)	)	PUNCT
fumecheng-1065	163	15	in	in	ADP
fumecheng-1065	163	16	the	the	DET
fumecheng-1065	163	17	slip	slip	NOUN
fumecheng-1065	163	18	domain	domain	NOUN
fumecheng-1065	163	19	is	be	AUX
fumecheng-1065	163	20	given	give	VERB
fumecheng-1065	163	21	by	by	ADP
fumecheng-1065	163	22	the	the	DET
fumecheng-1065	163	23	inverse	inverse	NOUN
fumecheng-1065	163	24	abel	abel	PROPN
fumecheng-1065	163	25	transform	transform	NOUN
fumecheng-1065	163	26	of	of	ADP
fumecheng-1065	163	27	(	(	PUNCT
fumecheng-1065	163	28	46	46	NUM
fumecheng-1065	163	29	)	)	PUNCT
fumecheng-1065	164	1	[	[	X
fumecheng-1065	164	2	12	12	NUM
fumecheng-1065	164	3	]	]	X
fumecheng-1065	164	4	:	:	PUNCT
fumecheng-1065	164	5	2	2	NUM
fumecheng-1065	164	6	2	2	NUM
fumecheng-1065	164	7	(	(	PUNCT
fumecheng-1065	164	8	)	)	PUNCT
fumecheng-1065	164	9	d	d	NOUN
fumecheng-1065	164	10	(	(	PUNCT
fumecheng-1065	164	11	)	)	PUNCT
fumecheng-1065	164	12	(	(	PUNCT
fumecheng-1065	164	13	)	)	PUNCT
fumecheng-1065	164	14	,	,	PUNCT
fumecheng-1065	164	15	for	for	ADP
fumecheng-1065	164	16	2	2	NUM
fumecheng-1065	164	17	a	a	NOUN
fumecheng-1065	164	18	x	x	SYM
fumecheng-1065	164	19	p	p	NOUN
fumecheng-1065	164	20	r	r	NOUN
fumecheng-1065	164	21	r	r	NOUN
fumecheng-1065	164	22	a	a	NOUN
fumecheng-1065	164	23	x	x	X
fumecheng-1065	164	24	c	c	NOUN
fumecheng-1065	164	25	x	x	X
fumecheng-1065	164	26	a	a	DET
fumecheng-1065	164	27	g	g	NOUN
fumecheng-1065	164	28	r	r	NOUN
fumecheng-1065	164	29	x	x	NOUN
fumecheng-1065	164	30			NOUN
fumecheng-1065	164	31			NOUN
fumecheng-1065	164	32			VERB
fumecheng-1065	164	33			ADJ
fumecheng-1065	164	34			PROPN
fumecheng-1065	164	35			PROPN
fumecheng-1065	164	36			NOUN
fumecheng-1065	164	37			PUNCT
fumecheng-1065	164	38	(	(	PUNCT
fumecheng-1065	164	39	53	53	NUM
fumecheng-1065	164	40	)	)	PUNCT
fumecheng-1065	164	41	however	however	ADV
fumecheng-1065	164	42	,	,	PUNCT
fumecheng-1065	164	43	the	the	DET
fumecheng-1065	164	44	resulting	result	VERB
fumecheng-1065	164	45	necessary	necessary	ADJ
fumecheng-1065	164	46	spring	spring	NOUN
fumecheng-1065	164	47	displacement	displacement	NOUN
fumecheng-1065	164	48	of	of	ADP
fumecheng-1065	164	49	the	the	DET
fumecheng-1065	164	50	mdr	mdr	PROPN
fumecheng-1065	164	51	-	-	NOUN
fumecheng-1065	164	52	model	model	NOUN
fumecheng-1065	164	53	2	2	NUM
fumecheng-1065	164	54	2	2	NUM
fumecheng-1065	164	55	(	(	PUNCT
fumecheng-1065	164	56	)	)	PUNCT
fumecheng-1065	164	57	d	d	NOUN
fumecheng-1065	164	58	(	(	PUNCT
fumecheng-1065	164	59	)	)	PUNCT
fumecheng-1065	164	60	(	(	PUNCT
fumecheng-1065	164	61	(	(	PUNCT
fumecheng-1065	164	62	)	)	PUNCT
fumecheng-1065	164	63	(	(	PUNCT
fumecheng-1065	164	64	)	)	PUNCT
fumecheng-1065	164	65	)	)	PUNCT
fumecheng-1065	164	66	,	,	PUNCT
fumecheng-1065	164	67	for	for	ADP
fumecheng-1065	164	68	2	2	NUM
fumecheng-1065	164	69	a	a	DET
fumecheng-1065	164	70	y	y	NOUN
fumecheng-1065	164	71	x	x	PUNCT
fumecheng-1065	164	72	x	x	X
fumecheng-1065	164	73	p	p	NOUN
fumecheng-1065	164	74	r	r	NOUN
fumecheng-1065	164	75	r	r	NOUN
fumecheng-1065	164	76	u	u	NOUN
fumecheng-1065	164	77	x	x	NOUN
fumecheng-1065	164	78	x	x	X
fumecheng-1065	164	79	a	a	PRON
fumecheng-1065	164	80	x	x	X
fumecheng-1065	164	81	c	c	NOUN
fumecheng-1065	164	82	x	x	X
fumecheng-1065	164	83	a	a	DET
fumecheng-1065	164	84	g	g	NOUN
fumecheng-1065	164	85	r	r	NOUN
fumecheng-1065	164	86	x	x	PUNCT
fumecheng-1065	164	87			NOUN
fumecheng-1065	164	88			NUM
fumecheng-1065	164	89			PROPN
fumecheng-1065	164	90			VERB
fumecheng-1065	164	91			ADJ
fumecheng-1065	164	92			PROPN
fumecheng-1065	164	93			PROPN
fumecheng-1065	164	94			VERB
fumecheng-1065	164	95			PUNCT
fumecheng-1065	164	96	(	(	PUNCT
fumecheng-1065	164	97	54	54	NUM
fumecheng-1065	164	98	)	)	PUNCT
fumecheng-1065	164	99	can	can	AUX
fumecheng-1065	164	100	not	not	PART
fumecheng-1065	164	101	be	be	AUX
fumecheng-1065	164	102	interpreted	interpret	VERB
fumecheng-1065	164	103	as	as	ADV
fumecheng-1065	164	104	easily	easily	ADV
fumecheng-1065	164	105	as	as	ADP
fumecheng-1065	164	106	in	in	ADP
fumecheng-1065	164	107	the	the	DET
fumecheng-1065	164	108	case	case	NOUN
fumecheng-1065	164	109	described	describe	VERB
fumecheng-1065	164	110	above	above	ADV
fumecheng-1065	164	111	in	in	ADP
fumecheng-1065	164	112	(	(	PUNCT
fumecheng-1065	164	113	47	47	NUM
fumecheng-1065	164	114	)	)	PUNCT
fumecheng-1065	164	115	(	(	PUNCT
fumecheng-1065	164	116	51	51	NUM
fumecheng-1065	164	117	)	)	PUNCT
fumecheng-1065	164	118	.	.	PUNCT
fumecheng-1065	165	1	5	5	X
fumecheng-1065	165	2	.	.	X
fumecheng-1065	165	3	conclusion	conclusion	NOUN
fumecheng-1065	165	4	in	in	ADP
fumecheng-1065	165	5	the	the	DET
fumecheng-1065	165	6	present	present	ADJ
fumecheng-1065	165	7	paper	paper	NOUN
fumecheng-1065	165	8	,	,	PUNCT
fumecheng-1065	165	9	we	we	PRON
fumecheng-1065	165	10	have	have	AUX
fumecheng-1065	165	11	extended	extend	VERB
fumecheng-1065	165	12	the	the	DET
fumecheng-1065	165	13	method	method	NOUN
fumecheng-1065	165	14	of	of	ADP
fumecheng-1065	165	15	dimensionality	dimensionality	NOUN
fumecheng-1065	165	16	reduction	reduction	NOUN
fumecheng-1065	165	17	to	to	ADP
fumecheng-1065	165	18	contacts	contact	NOUN
fumecheng-1065	165	19	subjected	subject	VERB
fumecheng-1065	165	20	to	to	ADP
fumecheng-1065	165	21	a	a	DET
fumecheng-1065	165	22	superimposed	superimpose	VERB
fumecheng-1065	165	23	normal	normal	ADJ
fumecheng-1065	165	24	and	and	CCONJ
fumecheng-1065	165	25	tangential	tangential	ADJ
fumecheng-1065	165	26	loading	loading	NOUN
fumecheng-1065	165	27	.	.	PUNCT
fumecheng-1065	166	1	for	for	ADP
fumecheng-1065	166	2	the	the	DET
fumecheng-1065	166	3	case	case	NOUN
fumecheng-1065	166	4	of	of	ADP
fumecheng-1065	166	5	the	the	DET
fumecheng-1065	166	6	simultaneous	simultaneous	ADJ
fumecheng-1065	166	7	normal	normal	ADJ
fumecheng-1065	166	8	and	and	CCONJ
fumecheng-1065	166	9	torsional	torsional	ADJ
fumecheng-1065	166	10	loading	loading	NOUN
fumecheng-1065	166	11	we	we	PRON
fumecheng-1065	166	12	have	have	AUX
fumecheng-1065	166	13	shown	show	VERB
fumecheng-1065	166	14	that	that	SCONJ
fumecheng-1065	166	15	the	the	DET
fumecheng-1065	166	16	consideration	consideration	NOUN
fumecheng-1065	166	17	of	of	ADP
fumecheng-1065	166	18	the	the	DET
fumecheng-1065	166	19	original	original	ADJ
fumecheng-1065	166	20	three	three	NUM
fumecheng-1065	166	21	-	-	PUNCT
fumecheng-1065	166	22	dimensional	dimensional	ADJ
fumecheng-1065	166	23	contact	contact	NOUN
fumecheng-1065	166	24	problem	problem	NOUN
fumecheng-1065	166	25	can	can	AUX
fumecheng-1065	166	26	be	be	AUX
fumecheng-1065	166	27	replaced	replace	VERB
fumecheng-1065	166	28	by	by	ADP
fumecheng-1065	166	29	a	a	DET
fumecheng-1065	166	30	contact	contact	NOUN
fumecheng-1065	166	31	with	with	ADP
fumecheng-1065	166	32	a	a	DET
fumecheng-1065	166	33	onedimensional	onedimensional	ADJ
fumecheng-1065	166	34	elastic	elastic	ADJ
fumecheng-1065	166	35	foundation	foundation	NOUN
fumecheng-1065	166	36	with	with	ADP
fumecheng-1065	166	37	a	a	DET
fumecheng-1065	166	38	properly	properly	ADV
fumecheng-1065	166	39	defined	define	VERB
fumecheng-1065	166	40	coefficient	coefficient	NOUN
fumecheng-1065	166	41	of	of	ADP
fumecheng-1065	166	42	friction	friction	NOUN
fumecheng-1065	166	43	and	and	CCONJ
fumecheng-1065	166	44	normal	normal	ADJ
fumecheng-1065	166	45	and	and	CCONJ
fumecheng-1065	166	46	tangential	tangential	ADJ
fumecheng-1065	166	47	stiffness	stiffness	NOUN
fumecheng-1065	166	48	if	if	SCONJ
fumecheng-1065	166	49	the	the	DET
fumecheng-1065	166	50	slip	slip	NOUN
fumecheng-1065	166	51	annulus	annulus	NOUN
fumecheng-1065	166	52	is	be	AUX
fumecheng-1065	166	53	small	small	ADJ
fumecheng-1065	166	54	compared	compare	VERB
fumecheng-1065	166	55	to	to	ADP
fumecheng-1065	166	56	the	the	DET
fumecheng-1065	166	57	contact	contact	NOUN
fumecheng-1065	166	58	radius	radius	NOUN
fumecheng-1065	166	59	.	.	PUNCT
fumecheng-1065	167	1	90	90	NUM
fumecheng-1065	167	2	e.	e.	PROPN
fumecheng-1065	167	3	willert	willert	PROPN
fumecheng-1065	167	4	,	,	PUNCT
fumecheng-1065	167	5	m.	m.	NOUN
fumecheng-1065	167	6	hess	hess	PROPN
fumecheng-1065	167	7	,	,	PUNCT
fumecheng-1065	167	8	v.l	v.l	PROPN
fumecheng-1065	167	9	.	.	PROPN
fumecheng-1065	167	10	popov	popov	PROPN
fumecheng-1065	167	11	acknowledgements	acknowledgement	NOUN
fumecheng-1065	167	12	:	:	PUNCT
fumecheng-1065	167	13	this	this	DET
fumecheng-1065	167	14	work	work	NOUN
fumecheng-1065	167	15	was	be	AUX
fumecheng-1065	167	16	supported	support	VERB
fumecheng-1065	167	17	in	in	ADP
fumecheng-1065	167	18	parts	part	NOUN
fumecheng-1065	167	19	by	by	ADP
fumecheng-1065	167	20	the	the	DET
fumecheng-1065	167	21	german	german	ADJ
fumecheng-1065	167	22	research	research	NOUN
fumecheng-1065	167	23	society	society	NOUN
fumecheng-1065	167	24	and	and	CCONJ
fumecheng-1065	167	25	the	the	DET
fumecheng-1065	167	26	tomsk	tomsk	PROPN
fumecheng-1065	167	27	state	state	PROPN
fumecheng-1065	167	28	university	university	PROPN
fumecheng-1065	167	29	academic	academic	PROPN
fumecheng-1065	167	30	d.i	d.i	PROPN
fumecheng-1065	167	31	.	.	PROPN
fumecheng-1065	167	32	mendeleev	mendeleev	PROPN
fumecheng-1065	167	33	fund	fund	PROPN
fumecheng-1065	167	34	program	program	PROPN
fumecheng-1065	167	35	.	.	PUNCT
fumecheng-1065	168	1	references	reference	NOUN
fumecheng-1065	168	2	1	1	NUM
fumecheng-1065	168	3	.	.	PUNCT
fumecheng-1065	168	4	lubkin	lubkin	PROPN
fumecheng-1065	168	5	j.l	j.l	PROPN
fumecheng-1065	168	6	.	.	PROPN
fumecheng-1065	168	7	,	,	PUNCT
fumecheng-1065	168	8	1951	1951	NUM
fumecheng-1065	168	9	,	,	PUNCT
fumecheng-1065	168	10	the	the	DET
fumecheng-1065	168	11	torsion	torsion	NOUN
fumecheng-1065	168	12	of	of	ADP
fumecheng-1065	168	13	elastic	elastic	ADJ
fumecheng-1065	168	14	spheres	sphere	NOUN
fumecheng-1065	168	15	in	in	ADP
fumecheng-1065	168	16	contact	contact	NOUN
fumecheng-1065	168	17	,	,	PUNCT
fumecheng-1065	168	18	journal	journal	NOUN
fumecheng-1065	168	19	of	of	ADP
fumecheng-1065	168	20	applied	apply	VERB
fumecheng-1065	168	21	mechanics	mechanic	NOUN
fumecheng-1065	168	22	,	,	PUNCT
fumecheng-1065	168	23	18	18	NUM
fumecheng-1065	168	24	,	,	PUNCT
fumecheng-1065	168	25	pp	pp	ADJ
fumecheng-1065	168	26	.	.	PUNCT
fumecheng-1065	168	27	183187	183187	NUM
fumecheng-1065	168	28	.	.	PUNCT
fumecheng-1065	169	1	2	2	X
fumecheng-1065	169	2	.	.	X
fumecheng-1065	169	3	hetényi	hetényi	PROPN
fumecheng-1065	169	4	m.	m.	PROPN
fumecheng-1065	169	5	,	,	PUNCT
fumecheng-1065	169	6	mcdonald	mcdonald	PROPN
fumecheng-1065	169	7	jr	jr	PROPN
fumecheng-1065	169	8	.	.	PROPN
fumecheng-1065	170	1	p.h	p.h	PROPN
fumecheng-1065	170	2	.	.	PROPN
fumecheng-1065	170	3	,	,	PUNCT
fumecheng-1065	170	4	1958	1958	NUM
fumecheng-1065	170	5	,	,	PUNCT
fumecheng-1065	170	6	contact	contact	NOUN
fumecheng-1065	170	7	stresses	stress	VERB
fumecheng-1065	170	8	under	under	ADP
fumecheng-1065	170	9	combined	combine	VERB
fumecheng-1065	170	10	pressure	pressure	NOUN
fumecheng-1065	170	11	and	and	CCONJ
fumecheng-1065	170	12	twist	twist	NOUN
fumecheng-1065	170	13	,	,	PUNCT
fumecheng-1065	170	14	journal	journal	NOUN
fumecheng-1065	170	15	of	of	ADP
fumecheng-1065	170	16	applied	apply	VERB
fumecheng-1065	170	17	mechanics	mechanic	NOUN
fumecheng-1065	170	18	,	,	PUNCT
fumecheng-1065	170	19	25	25	NUM
fumecheng-1065	170	20	,	,	PUNCT
fumecheng-1065	170	21	pp	pp	ADJ
fumecheng-1065	170	22	.	.	PUNCT
fumecheng-1065	171	1	396	396	NUM
fumecheng-1065	171	2	-	-	SYM
fumecheng-1065	171	3	401	401	NUM
fumecheng-1065	171	4	.	.	PUNCT
fumecheng-1065	172	1	3	3	X
fumecheng-1065	172	2	.	.	X
fumecheng-1065	172	3	kartal	kartal	PROPN
fumecheng-1065	172	4	m.e	m.e	PROPN
fumecheng-1065	172	5	.	.	PROPN
fumecheng-1065	172	6	,	,	PUNCT
fumecheng-1065	172	7	hills	hills	PROPN
fumecheng-1065	172	8	d.a	d.a	PROPN
fumecheng-1065	172	9	.	.	PROPN
fumecheng-1065	172	10	,	,	PUNCT
fumecheng-1065	172	11	nowell	nowell	PROPN
fumecheng-1065	172	12	d.	d.	PROPN
fumecheng-1065	172	13	,	,	PUNCT
fumecheng-1065	172	14	barber	barber	PROPN
fumecheng-1065	172	15	j.r	j.r	PROPN
fumecheng-1065	172	16	.	.	PROPN
fumecheng-1065	172	17	,	,	PUNCT
fumecheng-1065	172	18	2010	2010	NUM
fumecheng-1065	172	19	,	,	PUNCT
fumecheng-1065	172	20	torsional	torsional	ADJ
fumecheng-1065	172	21	contact	contact	NOUN
fumecheng-1065	172	22	between	between	ADP
fumecheng-1065	172	23	elastically	elastically	ADV
fumecheng-1065	172	24	similar	similar	ADJ
fumecheng-1065	172	25	flat	flat	ADJ
fumecheng-1065	172	26	-	-	PUNCT
fumecheng-1065	172	27	ended	end	VERB
fumecheng-1065	172	28	cylinders	cylinder	NOUN
fumecheng-1065	172	29	,	,	PUNCT
fumecheng-1065	172	30	international	international	ADJ
fumecheng-1065	172	31	journal	journal	NOUN
fumecheng-1065	172	32	of	of	ADP
fumecheng-1065	172	33	solids	solid	NOUN
fumecheng-1065	172	34	and	and	CCONJ
fumecheng-1065	172	35	structures	structure	NOUN
fumecheng-1065	172	36	,	,	PUNCT
fumecheng-1065	172	37	47	47	NUM
fumecheng-1065	172	38	,	,	PUNCT
fumecheng-1065	172	39	pp	pp	ADJ
fumecheng-1065	172	40	.	.	PUNCT
fumecheng-1065	173	1	1375	1375	NUM
fumecheng-1065	173	2	-	-	SYM
fumecheng-1065	173	3	1380	1380	NUM
fumecheng-1065	173	4	.	.	PUNCT
fumecheng-1065	174	1	4	4	X
fumecheng-1065	174	2	.	.	X
fumecheng-1065	174	3	jaeger	jaeger	PROPN
fumecheng-1065	174	4	j.	j.	PROPN
fumecheng-1065	174	5	,	,	PUNCT
fumecheng-1065	174	6	1995	1995	NUM
fumecheng-1065	174	7	,	,	PUNCT
fumecheng-1065	174	8	axi	axi	NOUN
fumecheng-1065	174	9	-	-	PUNCT
fumecheng-1065	174	10	symmetric	symmetric	ADJ
fumecheng-1065	174	11	bodies	body	NOUN
fumecheng-1065	174	12	of	of	ADP
fumecheng-1065	174	13	equal	equal	ADJ
fumecheng-1065	174	14	material	material	NOUN
fumecheng-1065	174	15	in	in	ADP
fumecheng-1065	174	16	contact	contact	NOUN
fumecheng-1065	174	17	under	under	ADP
fumecheng-1065	174	18	torsion	torsion	NOUN
fumecheng-1065	174	19	or	or	CCONJ
fumecheng-1065	174	20	shift	shift	NOUN
fumecheng-1065	174	21	,	,	PUNCT
fumecheng-1065	174	22	archive	archive	NOUN
fumecheng-1065	174	23	of	of	ADP
fumecheng-1065	174	24	applied	apply	VERB
fumecheng-1065	174	25	mechanics	mechanic	NOUN
fumecheng-1065	174	26	,	,	PUNCT
fumecheng-1065	174	27	65	65	NUM
fumecheng-1065	174	28	,	,	PUNCT
fumecheng-1065	174	29	pp	pp	ADJ
fumecheng-1065	174	30	.	.	PUNCT
fumecheng-1065	175	1	478	478	NUM
fumecheng-1065	175	2	-	-	NUM
fumecheng-1065	175	3	487	487	NUM
fumecheng-1065	175	4	.	.	NOUN
fumecheng-1065	176	1	5	5	NUM
fumecheng-1065	176	2	.	.	PUNCT
fumecheng-1065	176	3	trejo	trejo	PROPN
fumecheng-1065	176	4	m.	m.	PROPN
fumecheng-1065	176	5	,	,	PUNCT
fumecheng-1065	176	6	fretigny	fretigny	PROPN
fumecheng-1065	176	7	c.	c.	PROPN
fumecheng-1065	176	8	,	,	PUNCT
fumecheng-1065	176	9	chateauminois	chateauminois	PROPN
fumecheng-1065	176	10	a.	a.	NOUN
fumecheng-1065	176	11	,	,	PUNCT
fumecheng-1065	176	12	2013	2013	NUM
fumecheng-1065	176	13	,	,	PUNCT
fumecheng-1065	176	14	friction	friction	NOUN
fumecheng-1065	176	15	of	of	ADP
fumecheng-1065	176	16	viscoelastic	viscoelastic	ADJ
fumecheng-1065	176	17	elastomers	elastomer	NOUN
fumecheng-1065	176	18	with	with	ADP
fumecheng-1065	176	19	rough	rough	ADJ
fumecheng-1065	176	20	surfaces	surface	NOUN
fumecheng-1065	176	21	under	under	ADP
fumecheng-1065	176	22	torsional	torsional	ADJ
fumecheng-1065	176	23	contact	contact	NOUN
fumecheng-1065	176	24	conditions	condition	NOUN
fumecheng-1065	176	25	,	,	PUNCT
fumecheng-1065	176	26	physical	physical	ADJ
fumecheng-1065	176	27	review	review	NOUN
fumecheng-1065	176	28	,	,	PUNCT
fumecheng-1065	176	29	e88	e88	PROPN
fumecheng-1065	176	30	,	,	PUNCT
fumecheng-1065	176	31	052401	052401	NUM
fumecheng-1065	176	32	.	.	PUNCT
fumecheng-1065	177	1	6	6	NUM
fumecheng-1065	177	2	.	.	X
fumecheng-1065	177	3	popov	popov	PROPN
fumecheng-1065	177	4	v.l	v.l	PROPN
fumecheng-1065	177	5	.	.	PROPN
fumecheng-1065	177	6	,	,	PUNCT
fumecheng-1065	177	7	psakhie	psakhie	PROPN
fumecheng-1065	177	8	s.g	s.g	PROPN
fumecheng-1065	177	9	.	.	PROPN
fumecheng-1065	177	10	,	,	PUNCT
fumecheng-1065	177	11	2007	2007	NUM
fumecheng-1065	177	12	,	,	PUNCT
fumecheng-1065	177	13	numerical	numerical	PROPN
fumecheng-1065	177	14	simulation	simulation	NOUN
fumecheng-1065	177	15	methods	method	NOUN
fumecheng-1065	177	16	in	in	ADP
fumecheng-1065	177	17	tribology	tribology	NOUN
fumecheng-1065	177	18	,	,	PUNCT
fumecheng-1065	177	19	tribology	tribology	PROPN
fumecheng-1065	177	20	international	international	PROPN
fumecheng-1065	177	21	,	,	PUNCT
fumecheng-1065	177	22	40	40	NUM
fumecheng-1065	177	23	,	,	PUNCT
fumecheng-1065	177	24	pp	pp	ADJ
fumecheng-1065	177	25	.	.	PUNCT
fumecheng-1065	178	1	916–923	916–923	NUM
fumecheng-1065	178	2	.	.	PUNCT
fumecheng-1065	179	1	7	7	X
fumecheng-1065	179	2	.	.	X
fumecheng-1065	179	3	hess	hess	PROPN
fumecheng-1065	179	4	m.	m.	NOUN
fumecheng-1065	179	5	,	,	PUNCT
fumecheng-1065	179	6	2011	2011	NUM
fumecheng-1065	179	7	,	,	PUNCT
fumecheng-1065	179	8	über	über	PROPN
fumecheng-1065	179	9	die	die	NOUN
fumecheng-1065	179	10	exakte	exakte	PROPN
fumecheng-1065	179	11	abbildung	abbildung	PROPN
fumecheng-1065	179	12	ausgewählter	ausgewählter	PROPN
fumecheng-1065	179	13	dreidimensionaler	dreidimensionaler	PROPN
fumecheng-1065	179	14	kontakte	kontakte	PROPN
fumecheng-1065	179	15	auf	auf	PROPN
fumecheng-1065	179	16	systeme	systeme	PROPN
fumecheng-1065	179	17	mit	mit	PROPN
fumecheng-1065	179	18	niedrigerer	niedrigerer	PROPN
fumecheng-1065	179	19	räumlicher	räumlicher	ADJ
fumecheng-1065	179	20	dimension	dimension	NOUN
fumecheng-1065	179	21	,	,	PUNCT
fumecheng-1065	179	22	cullier	cullier	ADJ
fumecheng-1065	179	23	verlag	verlag	NOUN
fumecheng-1065	179	24	,	,	PUNCT
fumecheng-1065	179	25	berlin	berlin	PROPN
fumecheng-1065	179	26	.	.	PUNCT
fumecheng-1065	180	1	8	8	X
fumecheng-1065	180	2	.	.	X
fumecheng-1065	181	1	popov	popov	PROPN
fumecheng-1065	181	2	v.l	v.l	PROPN
fumecheng-1065	181	3	.	.	PROPN
fumecheng-1065	181	4	,	,	PUNCT
fumecheng-1065	181	5	hess	hess	PROPN
fumecheng-1065	181	6	m.	m.	NOUN
fumecheng-1065	181	7	,	,	PUNCT
fumecheng-1065	181	8	2015	2015	NUM
fumecheng-1065	181	9	,	,	PUNCT
fumecheng-1065	181	10	method	method	NOUN
fumecheng-1065	181	11	of	of	ADP
fumecheng-1065	181	12	dimensionality	dimensionality	NOUN
fumecheng-1065	181	13	reduction	reduction	NOUN
fumecheng-1065	181	14	in	in	ADP
fumecheng-1065	181	15	contact	contact	NOUN
fumecheng-1065	181	16	mechanics	mechanic	NOUN
fumecheng-1065	181	17	and	and	CCONJ
fumecheng-1065	181	18	friction	friction	NOUN
fumecheng-1065	181	19	,	,	PUNCT
fumecheng-1065	181	20	springer	springer	NOUN
fumecheng-1065	181	21	.	.	PUNCT
fumecheng-1065	182	1	9	9	X
fumecheng-1065	182	2	.	.	X
fumecheng-1065	182	3	popov	popov	PROPN
fumecheng-1065	182	4	v.l	v.l	PROPN
fumecheng-1065	182	5	.	.	PROPN
fumecheng-1065	182	6	,	,	PUNCT
fumecheng-1065	182	7	2015	2015	NUM
fumecheng-1065	182	8	,	,	PUNCT
fumecheng-1065	182	9	kontaktmechanik	kontaktmechanik	PROPN
fumecheng-1065	182	10	und	und	PROPN
fumecheng-1065	182	11	reibung	reibung	PROPN
fumecheng-1065	182	12	,	,	PUNCT
fumecheng-1065	182	13	3	3	X
fumecheng-1065	182	14	.	.	X
fumecheng-1065	182	15	überarbeitete	überarbeitete	ADJ
fumecheng-1065	182	16	auflage	auflage	NOUN
fumecheng-1065	182	17	,	,	PUNCT
fumecheng-1065	182	18	springer	springer	NOUN
fumecheng-1065	182	19	.	.	PUNCT
fumecheng-1065	183	1	10	10	NUM
fumecheng-1065	183	2	.	.	PUNCT
fumecheng-1065	184	1	popov	popov	PROPN
fumecheng-1065	184	2	v.l	v.l	PROPN
fumecheng-1065	184	3	.	.	PROPN
fumecheng-1065	184	4	,	,	PUNCT
fumecheng-1065	184	5	hess	hess	PROPN
fumecheng-1065	184	6	m.	m.	NOUN
fumecheng-1065	184	7	,	,	PUNCT
fumecheng-1065	184	8	2014	2014	NUM
fumecheng-1065	184	9	,	,	PUNCT
fumecheng-1065	184	10	method	method	NOUN
fumecheng-1065	184	11	of	of	ADP
fumecheng-1065	184	12	dimensionality	dimensionality	NOUN
fumecheng-1065	184	13	reduction	reduction	NOUN
fumecheng-1065	184	14	in	in	ADP
fumecheng-1065	184	15	contact	contact	NOUN
fumecheng-1065	184	16	mechanics	mechanic	NOUN
fumecheng-1065	184	17	and	and	CCONJ
fumecheng-1065	184	18	friction	friction	NOUN
fumecheng-1065	184	19	:	:	PUNCT
fumecheng-1065	184	20	a	a	DET
fumecheng-1065	184	21	users	user	NOUN
fumecheng-1065	184	22	handbook	handbook	NOUN
fumecheng-1065	184	23	.	.	PUNCT
fumecheng-1065	185	1	i.	i.	PROPN
fumecheng-1065	185	2	axially	axially	ADV
fumecheng-1065	185	3	symmetric	symmetric	ADJ
fumecheng-1065	185	4	contacts	contact	NOUN
fumecheng-1065	185	5	,	,	PUNCT
fumecheng-1065	185	6	facta	facta	PROPN
fumecheng-1065	185	7	universitatis	universitatis	PROPN
fumecheng-1065	185	8	,	,	PUNCT
fumecheng-1065	185	9	mechanical	mechanical	ADJ
fumecheng-1065	185	10	engineering	engineering	NOUN
fumecheng-1065	185	11	,	,	PUNCT
fumecheng-1065	185	12	12(1	12(1	NUM
fumecheng-1065	185	13	)	)	PUNCT
fumecheng-1065	185	14	,	,	PUNCT
fumecheng-1065	185	15	pp	pp	PROPN
fumecheng-1065	185	16	.	.	PUNCT
fumecheng-1065	186	1	1	1	NUM
fumecheng-1065	186	2	-	-	SYM
fumecheng-1065	186	3	14	14	NUM
fumecheng-1065	186	4	.	.	PUNCT
fumecheng-1065	187	1	11	11	NUM
fumecheng-1065	187	2	.	.	PUNCT
fumecheng-1065	188	1	jaeger	jaeger	PROPN
fumecheng-1065	188	2	j.	j.	PROPN
fumecheng-1065	188	3	,	,	PUNCT
fumecheng-1065	188	4	2005	2005	NUM
fumecheng-1065	188	5	,	,	PUNCT
fumecheng-1065	188	6	new	new	ADJ
fumecheng-1065	188	7	solutions	solution	NOUN
fumecheng-1065	188	8	in	in	ADP
fumecheng-1065	188	9	contact	contact	NOUN
fumecheng-1065	188	10	mechanics	mechanic	NOUN
fumecheng-1065	188	11	,	,	PUNCT
fumecheng-1065	188	12	wit	wit	ADJ
fumecheng-1065	188	13	press	press	NOUN
fumecheng-1065	188	14	.	.	PUNCT
fumecheng-1065	189	1	12	12	NUM
fumecheng-1065	189	2	.	.	PUNCT
fumecheng-1065	190	1	bracewell	bracewell	PROPN
fumecheng-1065	190	2	r.	r.	PROPN
fumecheng-1065	190	3	,	,	PUNCT
fumecheng-1065	190	4	1965	1965	NUM
fumecheng-1065	190	5	,	,	PUNCT
fumecheng-1065	190	6	the	the	DET
fumecheng-1065	190	7	fourier	fourier	NOUN
fumecheng-1065	190	8	transform	transform	NOUN
fumecheng-1065	190	9	and	and	CCONJ
fumecheng-1065	190	10	its	its	PRON
fumecheng-1065	190	11	applications	application	NOUN
fumecheng-1065	190	12	,	,	PUNCT
fumecheng-1065	190	13	mcgraw	mcgraw	PROPN
fumecheng-1065	190	14	-	-	PUNCT
fumecheng-1065	190	15	hill	hill	NOUN
fumecheng-1065	190	16	book	book	NOUN
fumecheng-1065	190	17	company	company	NOUN
fumecheng-1065	190	18	.	.	PUNCT
fumecheng-1065	191	1	13	13	NUM
fumecheng-1065	191	2	.	.	PUNCT
fumecheng-1065	192	1	johnson	johnson	PROPN
fumecheng-1065	192	2	k.l	k.l	PROPN
fumecheng-1065	192	3	.	.	PROPN
fumecheng-1065	192	4	,	,	PUNCT
fumecheng-1065	192	5	2001	2001	NUM
fumecheng-1065	192	6	,	,	PUNCT
fumecheng-1065	192	7	contact	contact	NOUN
fumecheng-1065	192	8	mechanics	mechanic	NOUN
fumecheng-1065	192	9	,	,	PUNCT
fumecheng-1065	192	10	cambridge	cambridge	PROPN
fumecheng-1065	192	11	university	university	PROPN
fumecheng-1065	192	12	press	press	NOUN
fumecheng-1065	192	13	.	.	PUNCT