id	sid	tid	token	lemma	pos
fumecheng-2682	1	1	normal	normal	ADJ
fumecheng-2682	1	2	line	line	NOUN
fumecheng-2682	1	3	contact	contact	NOUN
fumecheng-2682	1	4	of	of	ADP
fumecheng-2682	1	5	finite	finite	ADJ
fumecheng-2682	1	6	-	-	PUNCT
fumecheng-2682	1	7	length	length	NOUN
fumecheng-2682	1	8	cylinders	cylinder	NOUN
fumecheng-2682	1	9	facta	facta	PROPN
fumecheng-2682	1	10	universitatis	universitatis	PROPN
fumecheng-2682	1	11	series	series	NOUN
fumecheng-2682	1	12	:	:	PUNCT
fumecheng-2682	1	13	mechanical	mechanical	ADJ
fumecheng-2682	1	14	engineering	engineering	NOUN
fumecheng-2682	1	15	vol	vol	NOUN
fumecheng-2682	1	16	.	.	PROPN
fumecheng-2682	1	17	15	15	NUM
fumecheng-2682	1	18	,	,	PUNCT
fumecheng-2682	1	19	no	no	DET
fumecheng-2682	1	20	1	1	NUM
fumecheng-2682	1	21	,	,	PUNCT
fumecheng-2682	1	22	2017	2017	NUM
fumecheng-2682	1	23	,	,	PUNCT
fumecheng-2682	1	24	pp	pp	ADJ
fumecheng-2682	1	25	.	.	PUNCT
fumecheng-2682	2	1	63	63	NUM
fumecheng-2682	2	2	71	71	NUM
fumecheng-2682	2	3	doi	doi	NOUN
fumecheng-2682	2	4	:	:	PUNCT
fumecheng-2682	2	5	10.22190	10.22190	NUM
fumecheng-2682	2	6	/	/	SYM
fumecheng-2682	2	7	fume170222003l	fume170222003l	NOUN
fumecheng-2682	2	8	©	©	PROPN
fumecheng-2682	2	9	2017	2017	NUM
fumecheng-2682	2	10	by	by	ADP
fumecheng-2682	2	11	university	university	PROPN
fumecheng-2682	2	12	of	of	ADP
fumecheng-2682	2	13	niš	niš	PROPN
fumecheng-2682	2	14	,	,	PUNCT
fumecheng-2682	2	15	serbia	serbia	PROPN
fumecheng-2682	2	16	|	|	ADV
fumecheng-2682	2	17	creative	creative	ADJ
fumecheng-2682	2	18	commons	common	NOUN
fumecheng-2682	2	19	licence	licence	NOUN
fumecheng-2682	2	20	:	:	PUNCT
fumecheng-2682	2	21	cc	cc	VERB
fumecheng-2682	2	22	by	by	ADP
fumecheng-2682	2	23	-	-	PUNCT
fumecheng-2682	2	24	nc	nc	VERB
fumecheng-2682	2	25	-	-	PUNCT
fumecheng-2682	2	26	nd	nd	ADV
fumecheng-2682	2	27	original	original	ADJ
fumecheng-2682	2	28	scientific	scientific	ADJ
fumecheng-2682	2	29	paper	paper	NOUN
fumecheng-2682	2	30	normal	normal	NUM
fumecheng-2682	2	31	line	line	NOUN
fumecheng-2682	2	32	contact	contact	NOUN
fumecheng-2682	2	33	of	of	ADP
fumecheng-2682	2	34	finite	finite	ADJ
fumecheng-2682	2	35	-	-	PUNCT
fumecheng-2682	2	36	length	length	NOUN
fumecheng-2682	2	37	cylinders	cylinder	NOUN
fumecheng-2682	2	38	udc	udc	VERB
fumecheng-2682	2	39	539.3	539.3	NUM
fumecheng-2682	2	40	qiang	qiang	PROPN
fumecheng-2682	2	41	li	li	PROPN
fumecheng-2682	2	42	,	,	PUNCT
fumecheng-2682	2	43	valentin	valentin	PROPN
fumecheng-2682	2	44	l.	l.	PROPN
fumecheng-2682	2	45	popov	popov	PROPN
fumecheng-2682	2	46	department	department	PROPN
fumecheng-2682	2	47	of	of	ADP
fumecheng-2682	2	48	system	system	NOUN
fumecheng-2682	2	49	dynamics	dynamic	NOUN
fumecheng-2682	2	50	and	and	CCONJ
fumecheng-2682	2	51	the	the	DET
fumecheng-2682	2	52	physics	physics	NOUN
fumecheng-2682	2	53	of	of	ADP
fumecheng-2682	2	54	friction	friction	NOUN
fumecheng-2682	2	55	,	,	PUNCT
fumecheng-2682	2	56	berlin	berlin	PROPN
fumecheng-2682	2	57	institute	institute	PROPN
fumecheng-2682	2	58	of	of	ADP
fumecheng-2682	2	59	technology	technology	PROPN
fumecheng-2682	2	60	,	,	PUNCT
fumecheng-2682	2	61	berlin	berlin	PROPN
fumecheng-2682	2	62	,	,	PUNCT
fumecheng-2682	2	63	germany	germany	PROPN
fumecheng-2682	2	64	abstract	abstract	NOUN
fumecheng-2682	2	65	.	.	PUNCT
fumecheng-2682	3	1	in	in	ADP
fumecheng-2682	3	2	this	this	DET
fumecheng-2682	3	3	paper	paper	NOUN
fumecheng-2682	3	4	,	,	PUNCT
fumecheng-2682	3	5	the	the	DET
fumecheng-2682	3	6	normal	normal	ADJ
fumecheng-2682	3	7	contact	contact	NOUN
fumecheng-2682	3	8	problem	problem	NOUN
fumecheng-2682	3	9	between	between	ADP
fumecheng-2682	3	10	an	an	DET
fumecheng-2682	3	11	elastic	elastic	ADJ
fumecheng-2682	3	12	half	half	ADJ
fumecheng-2682	3	13	-	-	PUNCT
fumecheng-2682	3	14	space	space	NOUN
fumecheng-2682	3	15	and	and	CCONJ
fumecheng-2682	3	16	a	a	DET
fumecheng-2682	3	17	cylindrical	cylindrical	ADJ
fumecheng-2682	3	18	body	body	NOUN
fumecheng-2682	3	19	with	with	ADP
fumecheng-2682	3	20	the	the	DET
fumecheng-2682	3	21	axis	axis	NOUN
fumecheng-2682	3	22	parallel	parallel	NOUN
fumecheng-2682	3	23	to	to	ADP
fumecheng-2682	3	24	the	the	DET
fumecheng-2682	3	25	surface	surface	NOUN
fumecheng-2682	3	26	of	of	ADP
fumecheng-2682	3	27	the	the	DET
fumecheng-2682	3	28	half	half	ADJ
fumecheng-2682	3	29	-	-	PUNCT
fumecheng-2682	3	30	space	space	NOUN
fumecheng-2682	3	31	is	be	AUX
fumecheng-2682	3	32	solved	solve	VERB
fumecheng-2682	3	33	numerically	numerically	ADV
fumecheng-2682	3	34	by	by	ADP
fumecheng-2682	3	35	using	use	VERB
fumecheng-2682	3	36	the	the	DET
fumecheng-2682	3	37	boundary	boundary	ADJ
fumecheng-2682	3	38	element	element	NOUN
fumecheng-2682	3	39	method	method	NOUN
fumecheng-2682	3	40	(	(	PUNCT
fumecheng-2682	3	41	bem	bem	PROPN
fumecheng-2682	3	42	)	)	PUNCT
fumecheng-2682	3	43	.	.	PUNCT
fumecheng-2682	4	1	the	the	DET
fumecheng-2682	4	2	numerical	numerical	ADJ
fumecheng-2682	4	3	solution	solution	NOUN
fumecheng-2682	4	4	is	be	AUX
fumecheng-2682	4	5	approximated	approximate	VERB
fumecheng-2682	4	6	with	with	ADP
fumecheng-2682	4	7	an	an	DET
fumecheng-2682	4	8	analytical	analytical	ADJ
fumecheng-2682	4	9	equation	equation	NOUN
fumecheng-2682	4	10	motivated	motivate	VERB
fumecheng-2682	4	11	by	by	ADP
fumecheng-2682	4	12	an	an	DET
fumecheng-2682	4	13	existing	exist	VERB
fumecheng-2682	4	14	asymptotic	asymptotic	ADJ
fumecheng-2682	4	15	solution	solution	NOUN
fumecheng-2682	4	16	of	of	ADP
fumecheng-2682	4	17	the	the	DET
fumecheng-2682	4	18	corresponding	corresponding	ADJ
fumecheng-2682	4	19	problem	problem	NOUN
fumecheng-2682	4	20	.	.	PUNCT
fumecheng-2682	5	1	the	the	DET
fumecheng-2682	5	2	resulting	result	VERB
fumecheng-2682	5	3	empirical	empirical	ADJ
fumecheng-2682	5	4	equation	equation	NOUN
fumecheng-2682	5	5	is	be	AUX
fumecheng-2682	5	6	validated	validate	VERB
fumecheng-2682	5	7	by	by	ADP
fumecheng-2682	5	8	an	an	DET
fumecheng-2682	5	9	extensive	extensive	ADJ
fumecheng-2682	5	10	parameter	parameter	NOUN
fumecheng-2682	5	11	study	study	NOUN
fumecheng-2682	5	12	.	.	PUNCT
fumecheng-2682	6	1	based	base	VERB
fumecheng-2682	6	2	on	on	ADP
fumecheng-2682	6	3	this	this	DET
fumecheng-2682	6	4	solution	solution	NOUN
fumecheng-2682	6	5	,	,	PUNCT
fumecheng-2682	6	6	we	we	PRON
fumecheng-2682	6	7	calculate	calculate	VERB
fumecheng-2682	6	8	the	the	DET
fumecheng-2682	6	9	equivalent	equivalent	ADJ
fumecheng-2682	6	10	mdr	mdr	PROPN
fumecheng-2682	6	11	-	-	NOUN
fumecheng-2682	6	12	profile	profile	NOUN
fumecheng-2682	6	13	,	,	PUNCT
fumecheng-2682	6	14	which	which	PRON
fumecheng-2682	6	15	reproduces	reproduce	VERB
fumecheng-2682	6	16	the	the	DET
fumecheng-2682	6	17	solution	solution	NOUN
fumecheng-2682	6	18	exactly	exactly	ADV
fumecheng-2682	6	19	in	in	ADP
fumecheng-2682	6	20	the	the	DET
fumecheng-2682	6	21	framework	framework	NOUN
fumecheng-2682	6	22	of	of	ADP
fumecheng-2682	6	23	the	the	DET
fumecheng-2682	6	24	method	method	NOUN
fumecheng-2682	6	25	of	of	ADP
fumecheng-2682	6	26	dimensionality	dimensionality	NOUN
fumecheng-2682	6	27	reduction	reduction	NOUN
fumecheng-2682	6	28	(	(	PUNCT
fumecheng-2682	6	29	mdr	mdr	PROPN
fumecheng-2682	6	30	)	)	PUNCT
fumecheng-2682	6	31	.	.	PUNCT
fumecheng-2682	7	1	this	this	PRON
fumecheng-2682	7	2	mdr	mdr	PROPN
fumecheng-2682	7	3	-	-	PUNCT
fumecheng-2682	7	4	profile	profile	NOUN
fumecheng-2682	7	5	contains	contain	VERB
fumecheng-2682	7	6	in	in	ADP
fumecheng-2682	7	7	a	a	DET
fumecheng-2682	7	8	condensed	condensed	ADJ
fumecheng-2682	7	9	and	and	CCONJ
fumecheng-2682	7	10	easy	easy	ADJ
fumecheng-2682	7	11	-	-	PUNCT
fumecheng-2682	7	12	to	to	PART
fumecheng-2682	7	13	-	-	PUNCT
fumecheng-2682	7	14	use	use	NOUN
fumecheng-2682	7	15	form	form	NOUN
fumecheng-2682	7	16	all	all	DET
fumecheng-2682	7	17	the	the	DET
fumecheng-2682	7	18	necessary	necessary	ADJ
fumecheng-2682	7	19	information	information	NOUN
fumecheng-2682	7	20	about	about	ADP
fumecheng-2682	7	21	the	the	DET
fumecheng-2682	7	22	found	find	VERB
fumecheng-2682	7	23	solution	solution	NOUN
fumecheng-2682	7	24	and	and	CCONJ
fumecheng-2682	7	25	can	can	AUX
fumecheng-2682	7	26	be	be	AUX
fumecheng-2682	7	27	exploited	exploit	VERB
fumecheng-2682	7	28	for	for	ADP
fumecheng-2682	7	29	the	the	DET
fumecheng-2682	7	30	solution	solution	NOUN
fumecheng-2682	7	31	of	of	ADP
fumecheng-2682	7	32	other	other	ADJ
fumecheng-2682	7	33	related	related	ADJ
fumecheng-2682	7	34	problems	problem	NOUN
fumecheng-2682	7	35	(	(	PUNCT
fumecheng-2682	7	36	as	as	ADP
fumecheng-2682	7	37	contact	contact	NOUN
fumecheng-2682	7	38	with	with	ADP
fumecheng-2682	7	39	viscoelastic	viscoelastic	ADJ
fumecheng-2682	7	40	bodies	body	NOUN
fumecheng-2682	7	41	,	,	PUNCT
fumecheng-2682	7	42	tangential	tangential	ADJ
fumecheng-2682	7	43	contact	contact	NOUN
fumecheng-2682	7	44	problem	problem	NOUN
fumecheng-2682	7	45	,	,	PUNCT
fumecheng-2682	7	46	and	and	CCONJ
fumecheng-2682	7	47	adhesive	adhesive	ADJ
fumecheng-2682	7	48	contact	contact	NOUN
fumecheng-2682	7	49	problem	problem	NOUN
fumecheng-2682	7	50	.	.	PUNCT
fumecheng-2682	7	51	)	)	PUNCT
fumecheng-2682	8	1	the	the	DET
fumecheng-2682	8	2	analytical	analytical	ADJ
fumecheng-2682	8	3	approximation	approximation	NOUN
fumecheng-2682	8	4	reproduces	reproduce	VERB
fumecheng-2682	8	5	numerical	numerical	ADJ
fumecheng-2682	8	6	results	result	NOUN
fumecheng-2682	8	7	with	with	ADP
fumecheng-2682	8	8	high	high	ADJ
fumecheng-2682	8	9	precision	precision	NOUN
fumecheng-2682	8	10	provided	provide	VERB
fumecheng-2682	8	11	the	the	DET
fumecheng-2682	8	12	ratio	ratio	NOUN
fumecheng-2682	8	13	of	of	ADP
fumecheng-2682	8	14	length	length	NOUN
fumecheng-2682	8	15	and	and	CCONJ
fumecheng-2682	8	16	radius	radius	NOUN
fumecheng-2682	8	17	of	of	ADP
fumecheng-2682	8	18	the	the	DET
fumecheng-2682	8	19	cylinder	cylinder	NOUN
fumecheng-2682	8	20	are	be	AUX
fumecheng-2682	8	21	larger	large	ADJ
fumecheng-2682	8	22	than	than	ADP
fumecheng-2682	8	23	5	5	NUM
fumecheng-2682	8	24	.	.	PUNCT
fumecheng-2682	8	25	for	for	ADP
fumecheng-2682	8	26	thin	thin	ADJ
fumecheng-2682	8	27	disks	disk	NOUN
fumecheng-2682	8	28	(	(	PUNCT
fumecheng-2682	8	29	small	small	ADJ
fumecheng-2682	8	30	length	length	NOUN
fumecheng-2682	8	31	-	-	PUNCT
fumecheng-2682	8	32	to	to	ADP
fumecheng-2682	8	33	-	-	PUNCT
fumecheng-2682	8	34	radius	radius	NOUN
fumecheng-2682	8	35	ratio	ratio	NOUN
fumecheng-2682	8	36	)	)	PUNCT
fumecheng-2682	8	37	,	,	PUNCT
fumecheng-2682	8	38	the	the	DET
fumecheng-2682	8	39	results	result	NOUN
fumecheng-2682	8	40	are	be	AUX
fumecheng-2682	8	41	not	not	PART
fumecheng-2682	8	42	exact	exact	ADJ
fumecheng-2682	8	43	but	but	CCONJ
fumecheng-2682	8	44	acceptable	acceptable	ADJ
fumecheng-2682	8	45	for	for	ADP
fumecheng-2682	8	46	engineering	engineering	NOUN
fumecheng-2682	8	47	applications	application	NOUN
fumecheng-2682	8	48	.	.	PUNCT
fumecheng-2682	9	1	key	key	ADJ
fumecheng-2682	9	2	words	word	NOUN
fumecheng-2682	9	3	:	:	PUNCT
fumecheng-2682	9	4	line	line	NOUN
fumecheng-2682	9	5	contact	contact	NOUN
fumecheng-2682	9	6	,	,	PUNCT
fumecheng-2682	9	7	boundary	boundary	ADJ
fumecheng-2682	9	8	element	element	NOUN
fumecheng-2682	9	9	method	method	NOUN
fumecheng-2682	9	10	,	,	PUNCT
fumecheng-2682	9	11	finite	finite	ADJ
fumecheng-2682	9	12	-	-	ADJ
fumecheng-2682	9	13	length	length	NOUN
fumecheng-2682	9	14	cylinder	cylinder	NOUN
fumecheng-2682	9	15	,	,	PUNCT
fumecheng-2682	9	16	contact	contact	NOUN
fumecheng-2682	9	17	stiffness	stiffness	NOUN
fumecheng-2682	9	18	,	,	PUNCT
fumecheng-2682	9	19	method	method	NOUN
fumecheng-2682	9	20	of	of	ADP
fumecheng-2682	9	21	dimensionality	dimensionality	NOUN
fumecheng-2682	9	22	reduction	reduction	NOUN
fumecheng-2682	9	23	1	1	NUM
fumecheng-2682	9	24	.	.	PUNCT
fumecheng-2682	9	25	introduction	introduction	NOUN
fumecheng-2682	9	26	the	the	DET
fumecheng-2682	9	27	contact	contact	NOUN
fumecheng-2682	9	28	problem	problem	NOUN
fumecheng-2682	9	29	of	of	ADP
fumecheng-2682	9	30	cylinders	cylinder	NOUN
fumecheng-2682	9	31	with	with	ADP
fumecheng-2682	9	32	parallel	parallel	ADJ
fumecheng-2682	9	33	axes	axis	NOUN
fumecheng-2682	9	34	or	or	CCONJ
fumecheng-2682	9	35	of	of	ADP
fumecheng-2682	9	36	a	a	DET
fumecheng-2682	9	37	flat	flat	ADJ
fumecheng-2682	9	38	elastic	elastic	ADJ
fumecheng-2682	9	39	body	body	NOUN
fumecheng-2682	9	40	with	with	ADP
fumecheng-2682	9	41	a	a	DET
fumecheng-2682	9	42	“	"	PUNCT
fumecheng-2682	9	43	lying	lie	VERB
fumecheng-2682	9	44	”	"	PUNCT
fumecheng-2682	9	45	cylinder	cylinder	NOUN
fumecheng-2682	9	46	is	be	AUX
fumecheng-2682	9	47	very	very	ADV
fumecheng-2682	9	48	common	common	ADJ
fumecheng-2682	9	49	in	in	ADP
fumecheng-2682	9	50	practical	practical	ADJ
fumecheng-2682	9	51	engineering	engineering	NOUN
fumecheng-2682	9	52	applications	application	NOUN
fumecheng-2682	9	53	,	,	PUNCT
fumecheng-2682	9	54	in	in	ADP
fumecheng-2682	9	55	particular	particular	ADJ
fumecheng-2682	9	56	in	in	ADP
fumecheng-2682	9	57	mechanical	mechanical	ADJ
fumecheng-2682	9	58	elements	element	NOUN
fumecheng-2682	9	59	such	such	ADJ
fumecheng-2682	9	60	as	as	ADP
fumecheng-2682	9	61	roller	roller	NOUN
fumecheng-2682	9	62	bearings	bearing	NOUN
fumecheng-2682	9	63	,	,	PUNCT
fumecheng-2682	9	64	gears	gear	NOUN
fumecheng-2682	9	65	and	and	CCONJ
fumecheng-2682	9	66	cams	cam	NOUN
fumecheng-2682	10	1	[	[	X
fumecheng-2682	10	2	1	1	NUM
fumecheng-2682	10	3	,	,	PUNCT
fumecheng-2682	10	4	2	2	NUM
fumecheng-2682	10	5	]	]	PUNCT
fumecheng-2682	10	6	.	.	PUNCT
fumecheng-2682	11	1	in	in	ADP
fumecheng-2682	11	2	contrast	contrast	NOUN
fumecheng-2682	11	3	to	to	ADP
fumecheng-2682	11	4	the	the	DET
fumecheng-2682	11	5	hertz	hertz	NOUN
fumecheng-2682	11	6	-	-	PUNCT
fumecheng-2682	11	7	like	like	ADJ
fumecheng-2682	11	8	contacts	contact	NOUN
fumecheng-2682	11	9	of	of	ADP
fumecheng-2682	11	10	bodies	body	NOUN
fumecheng-2682	11	11	with	with	ADP
fumecheng-2682	11	12	curvature	curvature	NOUN
fumecheng-2682	11	13	in	in	ADP
fumecheng-2682	11	14	two	two	NUM
fumecheng-2682	11	15	directions	direction	NOUN
fumecheng-2682	11	16	which	which	PRON
fumecheng-2682	11	17	in	in	ADP
fumecheng-2682	11	18	engineering	engineering	NOUN
fumecheng-2682	11	19	mechanics	mechanic	NOUN
fumecheng-2682	11	20	are	be	AUX
fumecheng-2682	11	21	called	call	VERB
fumecheng-2682	11	22	“	"	PUNCT
fumecheng-2682	11	23	point	point	NOUN
fumecheng-2682	11	24	contacts	contact	NOUN
fumecheng-2682	11	25	”	"	PUNCT
fumecheng-2682	11	26	,	,	PUNCT
fumecheng-2682	11	27	the	the	DET
fumecheng-2682	11	28	contact	contact	NOUN
fumecheng-2682	11	29	of	of	ADP
fumecheng-2682	11	30	two	two	NUM
fumecheng-2682	11	31	parallel	parallel	ADJ
fumecheng-2682	11	32	cylinders	cylinder	NOUN
fumecheng-2682	11	33	is	be	AUX
fumecheng-2682	11	34	denoted	denote	VERB
fumecheng-2682	11	35	as	as	ADP
fumecheng-2682	11	36	a	a	DET
fumecheng-2682	11	37	“	"	PUNCT
fumecheng-2682	11	38	line	line	NOUN
fumecheng-2682	11	39	contact	contact	NOUN
fumecheng-2682	11	40	”	"	PUNCT
fumecheng-2682	11	41	.	.	PUNCT
fumecheng-2682	12	1	being	be	AUX
fumecheng-2682	12	2	an	an	DET
fumecheng-2682	12	3	immediate	immediate	ADJ
fumecheng-2682	12	4	two	two	NUM
fumecheng-2682	12	5	-	-	PUNCT
fumecheng-2682	12	6	dimensional	dimensional	ADJ
fumecheng-2682	12	7	analog	analog	NOUN
fumecheng-2682	12	8	of	of	ADP
fumecheng-2682	12	9	the	the	DET
fumecheng-2682	12	10	hertz	hertz	NOUN
fumecheng-2682	12	11	contact	contact	NOUN
fumecheng-2682	12	12	,	,	PUNCT
fumecheng-2682	12	13	the	the	DET
fumecheng-2682	12	14	line	line	NOUN
fumecheng-2682	12	15	contact	contact	NOUN
fumecheng-2682	12	16	between	between	ADP
fumecheng-2682	12	17	cylinders	cylinder	NOUN
fumecheng-2682	12	18	with	with	ADP
fumecheng-2682	12	19	parallel	parallel	ADJ
fumecheng-2682	12	20	axes	axis	NOUN
fumecheng-2682	12	21	is	be	AUX
fumecheng-2682	12	22	one	one	NUM
fumecheng-2682	12	23	of	of	ADP
fumecheng-2682	12	24	basic	basic	ADJ
fumecheng-2682	12	25	problems	problem	NOUN
fumecheng-2682	12	26	in	in	ADP
fumecheng-2682	12	27	contact	contact	NOUN
fumecheng-2682	12	28	mechanics	mechanic	NOUN
fumecheng-2682	12	29	.	.	PUNCT
fumecheng-2682	13	1	received	receive	VERB
fumecheng-2682	13	2	february	february	PROPN
fumecheng-2682	13	3	22	22	NUM
fumecheng-2682	13	4	,	,	PUNCT
fumecheng-2682	13	5	2017	2017	NUM
fumecheng-2682	13	6	/	/	SYM
fumecheng-2682	13	7	accepted	accept	VERB
fumecheng-2682	13	8	march	march	PROPN
fumecheng-2682	13	9	15	15	NUM
fumecheng-2682	13	10	,	,	PUNCT
fumecheng-2682	13	11	2017	2017	NUM
fumecheng-2682	13	12	corresponding	correspond	VERB
fumecheng-2682	13	13	author	author	NOUN
fumecheng-2682	13	14	:	:	PUNCT
fumecheng-2682	13	15	valentin	valentin	PROPN
fumecheng-2682	13	16	l.	l.	PROPN
fumecheng-2682	13	17	popov	popov	PROPN
fumecheng-2682	13	18	department	department	PROPN
fumecheng-2682	13	19	of	of	ADP
fumecheng-2682	13	20	system	system	NOUN
fumecheng-2682	13	21	dynamics	dynamic	NOUN
fumecheng-2682	13	22	and	and	CCONJ
fumecheng-2682	13	23	the	the	DET
fumecheng-2682	13	24	physics	physics	NOUN
fumecheng-2682	13	25	of	of	ADP
fumecheng-2682	13	26	friction	friction	NOUN
fumecheng-2682	13	27	,	,	PUNCT
fumecheng-2682	13	28	berlin	berlin	PROPN
fumecheng-2682	13	29	institute	institute	PROPN
fumecheng-2682	13	30	of	of	ADP
fumecheng-2682	13	31	technology	technology	PROPN
fumecheng-2682	13	32	,	,	PUNCT
fumecheng-2682	13	33	str	str	NOUN
fumecheng-2682	13	34	.	.	PUNCT
fumecheng-2682	14	1	des	des	PROPN
fumecheng-2682	14	2	17	17	NUM
fumecheng-2682	14	3	juni	juni	PROPN
fumecheng-2682	14	4	135	135	NUM
fumecheng-2682	14	5	,	,	PUNCT
fumecheng-2682	14	6	10623	10623	NUM
fumecheng-2682	14	7	berlin	berlin	PROPN
fumecheng-2682	14	8	,	,	PUNCT
fumecheng-2682	14	9	germany	germany	PROPN
fumecheng-2682	14	10	e	e	PROPN
fumecheng-2682	14	11	-	-	NOUN
fumecheng-2682	14	12	mail	mail	NOUN
fumecheng-2682	14	13	:	:	PUNCT
fumecheng-2682	14	14	v.popov@tu-berlin.de	v.popov@tu-berlin.de	NUM
fumecheng-2682	14	15	64	64	NUM
fumecheng-2682	14	16	q.	q.	PROPN
fumecheng-2682	14	17	li	li	PROPN
fumecheng-2682	14	18	,	,	PUNCT
fumecheng-2682	14	19	v.l	v.l	PROPN
fumecheng-2682	14	20	.	.	PROPN
fumecheng-2682	14	21	popov	popov	PROPN
fumecheng-2682	14	22	even	even	ADV
fumecheng-2682	14	23	if	if	SCONJ
fumecheng-2682	14	24	the	the	DET
fumecheng-2682	14	25	effective	effective	ADJ
fumecheng-2682	14	26	dimensionality	dimensionality	NOUN
fumecheng-2682	14	27	of	of	ADP
fumecheng-2682	14	28	a	a	DET
fumecheng-2682	14	29	line	line	NOUN
fumecheng-2682	14	30	contact	contact	NOUN
fumecheng-2682	14	31	is	be	AUX
fumecheng-2682	14	32	lower	low	ADJ
fumecheng-2682	14	33	than	than	ADP
fumecheng-2682	14	34	that	that	PRON
fumecheng-2682	14	35	of	of	ADP
fumecheng-2682	14	36	the	the	DET
fumecheng-2682	14	37	point	point	NOUN
fumecheng-2682	14	38	contact	contact	NOUN
fumecheng-2682	14	39	(	(	PUNCT
fumecheng-2682	14	40	2d	2d	NOUN
fumecheng-2682	14	41	vs.	vs.	ADP
fumecheng-2682	14	42	3d	3d	NUM
fumecheng-2682	14	43	)	)	PUNCT
fumecheng-2682	14	44	,	,	PUNCT
fumecheng-2682	14	45	the	the	DET
fumecheng-2682	14	46	line	line	NOUN
fumecheng-2682	14	47	contact	contact	NOUN
fumecheng-2682	14	48	is	be	AUX
fumecheng-2682	14	49	in	in	ADP
fumecheng-2682	14	50	some	some	DET
fumecheng-2682	14	51	sense	sense	NOUN
fumecheng-2682	14	52	more	more	ADV
fumecheng-2682	14	53	complicated	complicated	ADJ
fumecheng-2682	14	54	than	than	ADP
fumecheng-2682	14	55	its	its	PRON
fumecheng-2682	14	56	3d	3d	NUM
fumecheng-2682	14	57	analog	analog	NOUN
fumecheng-2682	14	58	since	since	SCONJ
fumecheng-2682	14	59	in	in	ADP
fumecheng-2682	14	60	the	the	DET
fumecheng-2682	14	61	line	line	NOUN
fumecheng-2682	14	62	contact	contact	NOUN
fumecheng-2682	14	63	the	the	DET
fumecheng-2682	14	64	“	"	PUNCT
fumecheng-2682	14	65	indentation	indentation	NOUN
fumecheng-2682	14	66	depth	depth	NOUN
fumecheng-2682	14	67	”	"	PUNCT
fumecheng-2682	14	68	can	can	AUX
fumecheng-2682	14	69	not	not	PART
fumecheng-2682	14	70	be	be	AUX
fumecheng-2682	14	71	defined	define	VERB
fumecheng-2682	14	72	unambiguously	unambiguously	ADV
fumecheng-2682	14	73	.	.	PUNCT
fumecheng-2682	15	1	this	this	PRON
fumecheng-2682	15	2	is	be	AUX
fumecheng-2682	15	3	related	relate	VERB
fumecheng-2682	15	4	to	to	ADP
fumecheng-2682	15	5	the	the	DET
fumecheng-2682	15	6	logarithmic	logarithmic	ADJ
fumecheng-2682	15	7	divergence	divergence	NOUN
fumecheng-2682	15	8	of	of	ADP
fumecheng-2682	15	9	the	the	DET
fumecheng-2682	15	10	2d	2d	NUM
fumecheng-2682	15	11	fundamental	fundamental	ADJ
fumecheng-2682	15	12	solution	solution	NOUN
fumecheng-2682	15	13	in	in	ADP
fumecheng-2682	15	14	infinity	infinity	NOUN
fumecheng-2682	15	15	.	.	PUNCT
fumecheng-2682	16	1	in	in	ADP
fumecheng-2682	16	2	other	other	ADJ
fumecheng-2682	16	3	words	word	NOUN
fumecheng-2682	16	4	,	,	PUNCT
fumecheng-2682	16	5	the	the	DET
fumecheng-2682	16	6	properties	property	NOUN
fumecheng-2682	16	7	of	of	ADP
fumecheng-2682	16	8	a	a	DET
fumecheng-2682	16	9	2d	2d	NUM
fumecheng-2682	16	10	contact	contact	NOUN
fumecheng-2682	16	11	(	(	PUNCT
fumecheng-2682	16	12	line	line	NOUN
fumecheng-2682	16	13	contact	contact	NOUN
fumecheng-2682	16	14	)	)	PUNCT
fumecheng-2682	16	15	are	be	AUX
fumecheng-2682	16	16	not	not	PART
fumecheng-2682	16	17	“	"	PUNCT
fumecheng-2682	16	18	local	local	ADJ
fumecheng-2682	16	19	”	"	PUNCT
fumecheng-2682	16	20	but	but	CCONJ
fumecheng-2682	16	21	depend	depend	VERB
fumecheng-2682	16	22	on	on	ADP
fumecheng-2682	16	23	the	the	DET
fumecheng-2682	16	24	macroscopic	macroscopic	ADJ
fumecheng-2682	16	25	shape	shape	NOUN
fumecheng-2682	16	26	of	of	ADP
fumecheng-2682	16	27	the	the	DET
fumecheng-2682	16	28	body	body	NOUN
fumecheng-2682	16	29	.	.	PUNCT
fumecheng-2682	17	1	this	this	DET
fumecheng-2682	17	2	dependence	dependence	NOUN
fumecheng-2682	17	3	,	,	PUNCT
fumecheng-2682	17	4	however	however	ADV
fumecheng-2682	17	5	,	,	PUNCT
fumecheng-2682	17	6	is	be	AUX
fumecheng-2682	17	7	relatively	relatively	ADV
fumecheng-2682	17	8	weak	weak	ADJ
fumecheng-2682	17	9	(	(	PUNCT
fumecheng-2682	17	10	logarithmic	logarithmic	NOUN
fumecheng-2682	17	11	)	)	PUNCT
fumecheng-2682	17	12	.	.	PUNCT
fumecheng-2682	18	1	therefore	therefore	ADV
fumecheng-2682	18	2	,	,	PUNCT
fumecheng-2682	18	3	there	there	PRON
fumecheng-2682	18	4	exist	exist	VERB
fumecheng-2682	18	5	a	a	DET
fumecheng-2682	18	6	large	large	ADJ
fumecheng-2682	18	7	number	number	NOUN
fumecheng-2682	18	8	of	of	ADP
fumecheng-2682	18	9	approximated	approximate	VERB
fumecheng-2682	18	10	solutions	solution	NOUN
fumecheng-2682	18	11	[	[	X
fumecheng-2682	18	12	3	3	NUM
fumecheng-2682	18	13	-	-	SYM
fumecheng-2682	18	14	5	5	NUM
fumecheng-2682	18	15	]	]	PUNCT
fumecheng-2682	18	16	,	,	PUNCT
fumecheng-2682	18	17	which	which	PRON
fumecheng-2682	18	18	have	have	AUX
fumecheng-2682	18	19	been	be	AUX
fumecheng-2682	18	20	applied	apply	VERB
fumecheng-2682	18	21	in	in	ADP
fumecheng-2682	18	22	many	many	ADJ
fumecheng-2682	18	23	further	further	ADJ
fumecheng-2682	18	24	studies	study	NOUN
fumecheng-2682	18	25	,	,	PUNCT
fumecheng-2682	18	26	for	for	ADP
fumecheng-2682	18	27	example	example	NOUN
fumecheng-2682	18	28	in	in	ADP
fumecheng-2682	18	29	elastic	elastic	ADJ
fumecheng-2682	18	30	hydrodynamic	hydrodynamic	ADJ
fumecheng-2682	18	31	lubrication	lubrication	NOUN
fumecheng-2682	18	32	[	[	X
fumecheng-2682	18	33	6	6	NUM
fumecheng-2682	18	34	,	,	PUNCT
fumecheng-2682	18	35	7	7	NUM
fumecheng-2682	18	36	]	]	PUNCT
fumecheng-2682	18	37	.	.	PUNCT
fumecheng-2682	19	1	the	the	DET
fumecheng-2682	19	2	main	main	ADJ
fumecheng-2682	19	3	structure	structure	NOUN
fumecheng-2682	19	4	of	of	ADP
fumecheng-2682	19	5	all	all	DET
fumecheng-2682	19	6	approximate	approximate	ADJ
fumecheng-2682	19	7	solutions	solution	NOUN
fumecheng-2682	19	8	is	be	AUX
fumecheng-2682	19	9	relatively	relatively	ADV
fumecheng-2682	19	10	simple	simple	ADJ
fumecheng-2682	19	11	:	:	PUNCT
fumecheng-2682	19	12	it	it	PRON
fumecheng-2682	19	13	reproduces	reproduce	VERB
fumecheng-2682	19	14	the	the	DET
fumecheng-2682	19	15	logarithmic	logarithmic	ADJ
fumecheng-2682	19	16	divergence	divergence	NOUN
fumecheng-2682	19	17	and	and	CCONJ
fumecheng-2682	19	18	cuts	cut	VERB
fumecheng-2682	19	19	it	it	PRON
fumecheng-2682	19	20	up	up	ADP
fumecheng-2682	19	21	at	at	ADP
fumecheng-2682	19	22	some	some	DET
fumecheng-2682	19	23	characteristic	characteristic	ADJ
fumecheng-2682	19	24	distance	distance	NOUN
fumecheng-2682	19	25	,	,	PUNCT
fumecheng-2682	19	26	at	at	ADP
fumecheng-2682	19	27	which	which	PRON
fumecheng-2682	19	28	the	the	DET
fumecheng-2682	19	29	contact	contact	NOUN
fumecheng-2682	19	30	ceases	cease	VERB
fumecheng-2682	19	31	to	to	PART
fumecheng-2682	19	32	be	be	AUX
fumecheng-2682	19	33	a	a	DET
fumecheng-2682	19	34	line	line	NOUN
fumecheng-2682	19	35	-	-	PUNCT
fumecheng-2682	19	36	contact	contact	NOUN
fumecheng-2682	19	37	.	.	PUNCT
fumecheng-2682	20	1	in	in	ADP
fumecheng-2682	20	2	the	the	DET
fumecheng-2682	20	3	case	case	NOUN
fumecheng-2682	20	4	of	of	ADP
fumecheng-2682	20	5	a	a	DET
fumecheng-2682	20	6	true	true	ADJ
fumecheng-2682	20	7	2d	2d	PROPN
fumecheng-2682	20	8	contact	contact	NOUN
fumecheng-2682	20	9	,	,	PUNCT
fumecheng-2682	20	10	this	this	PRON
fumecheng-2682	20	11	is	be	AUX
fumecheng-2682	20	12	the	the	DET
fumecheng-2682	20	13	size	size	NOUN
fumecheng-2682	20	14	of	of	ADP
fumecheng-2682	20	15	the	the	DET
fumecheng-2682	20	16	system	system	NOUN
fumecheng-2682	20	17	(	(	PUNCT
fumecheng-2682	20	18	e.g.	e.g.	ADV
fumecheng-2682	20	19	the	the	DET
fumecheng-2682	20	20	radius	radius	NOUN
fumecheng-2682	20	21	of	of	ADP
fumecheng-2682	20	22	contacting	contact	VERB
fumecheng-2682	20	23	cylinders	cylinder	NOUN
fumecheng-2682	20	24	)	)	PUNCT
fumecheng-2682	20	25	.	.	PUNCT
fumecheng-2682	21	1	on	on	ADP
fumecheng-2682	21	2	the	the	DET
fumecheng-2682	21	3	other	other	ADJ
fumecheng-2682	21	4	hand	hand	NOUN
fumecheng-2682	21	5	,	,	PUNCT
fumecheng-2682	21	6	for	for	ADP
fumecheng-2682	21	7	any	any	DET
fumecheng-2682	21	8	finite	finite	ADJ
fumecheng-2682	21	9	contact	contact	NOUN
fumecheng-2682	21	10	,	,	PUNCT
fumecheng-2682	21	11	e.g.	e.g.	ADV
fumecheng-2682	21	12	that	that	PRON
fumecheng-2682	21	13	of	of	ADP
fumecheng-2682	21	14	a	a	DET
fumecheng-2682	21	15	lying	lie	VERB
fumecheng-2682	21	16	cylinder	cylinder	NOUN
fumecheng-2682	21	17	of	of	ADP
fumecheng-2682	21	18	finite	finite	ADJ
fumecheng-2682	21	19	length	length	NOUN
fumecheng-2682	21	20	,	,	PUNCT
fumecheng-2682	21	21	the	the	DET
fumecheng-2682	21	22	indentation	indentation	NOUN
fumecheng-2682	21	23	depth	depth	NOUN
fumecheng-2682	21	24	can	can	AUX
fumecheng-2682	21	25	be	be	AUX
fumecheng-2682	21	26	determined	determine	VERB
fumecheng-2682	21	27	unambiguously	unambiguously	ADV
fumecheng-2682	21	28	.	.	PUNCT
fumecheng-2682	22	1	the	the	DET
fumecheng-2682	22	2	macroscopic	macroscopic	ADJ
fumecheng-2682	22	3	length	length	NOUN
fumecheng-2682	22	4	which	which	PRON
fumecheng-2682	22	5	in	in	ADP
fumecheng-2682	22	6	this	this	DET
fumecheng-2682	22	7	case	case	NOUN
fumecheng-2682	22	8	limits	limit	VERB
fumecheng-2682	22	9	the	the	DET
fumecheng-2682	22	10	“	"	PUNCT
fumecheng-2682	22	11	two	two	NUM
fumecheng-2682	22	12	-	-	PUNCT
fumecheng-2682	22	13	dimensionality	dimensionality	NOUN
fumecheng-2682	22	14	”	"	PUNCT
fumecheng-2682	22	15	of	of	ADP
fumecheng-2682	22	16	the	the	DET
fumecheng-2682	22	17	line	line	NOUN
fumecheng-2682	22	18	contact	contact	NOUN
fumecheng-2682	22	19	is	be	AUX
fumecheng-2682	22	20	the	the	DET
fumecheng-2682	22	21	length	length	NOUN
fumecheng-2682	22	22	of	of	ADP
fumecheng-2682	22	23	the	the	DET
fumecheng-2682	22	24	cylinder	cylinder	NOUN
fumecheng-2682	22	25	.	.	PUNCT
fumecheng-2682	23	1	one	one	PRON
fumecheng-2682	23	2	can	can	AUX
fumecheng-2682	23	3	anticipate	anticipate	VERB
fumecheng-2682	23	4	that	that	SCONJ
fumecheng-2682	23	5	the	the	DET
fumecheng-2682	23	6	indentation	indentation	NOUN
fumecheng-2682	23	7	depth	depth	NOUN
fumecheng-2682	23	8	at	at	ADP
fumecheng-2682	23	9	a	a	DET
fumecheng-2682	23	10	given	give	VERB
fumecheng-2682	23	11	force	force	NOUN
fumecheng-2682	23	12	will	will	AUX
fumecheng-2682	23	13	be	be	AUX
fumecheng-2682	23	14	a	a	DET
fumecheng-2682	23	15	weak	weak	ADJ
fumecheng-2682	23	16	logarithmic	logarithmic	ADJ
fumecheng-2682	23	17	function	function	NOUN
fumecheng-2682	23	18	of	of	ADP
fumecheng-2682	23	19	the	the	DET
fumecheng-2682	23	20	cylinder	cylinder	NOUN
fumecheng-2682	23	21	length	length	NOUN
fumecheng-2682	23	22	.	.	PUNCT
fumecheng-2682	24	1	finding	find	VERB
fumecheng-2682	24	2	the	the	DET
fumecheng-2682	24	3	exact	exact	ADJ
fumecheng-2682	24	4	form	form	NOUN
fumecheng-2682	24	5	of	of	ADP
fumecheng-2682	24	6	this	this	DET
fumecheng-2682	24	7	function	function	NOUN
fumecheng-2682	24	8	is	be	AUX
fumecheng-2682	24	9	the	the	DET
fumecheng-2682	24	10	main	main	ADJ
fumecheng-2682	24	11	goal	goal	NOUN
fumecheng-2682	24	12	of	of	ADP
fumecheng-2682	24	13	this	this	DET
fumecheng-2682	24	14	paper	paper	NOUN
fumecheng-2682	24	15	.	.	PUNCT
fumecheng-2682	25	1	as	as	ADP
fumecheng-2682	25	2	the	the	DET
fumecheng-2682	25	3	solution	solution	NOUN
fumecheng-2682	25	4	of	of	ADP
fumecheng-2682	25	5	the	the	DET
fumecheng-2682	25	6	underlying	underlie	VERB
fumecheng-2682	25	7	two	two	NUM
fumecheng-2682	25	8	-	-	PUNCT
fumecheng-2682	25	9	dimensional	dimensional	ADJ
fumecheng-2682	25	10	contact	contact	NOUN
fumecheng-2682	25	11	problem	problem	NOUN
fumecheng-2682	25	12	gives	give	VERB
fumecheng-2682	25	13	the	the	DET
fumecheng-2682	25	14	basis	basis	NOUN
fumecheng-2682	25	15	for	for	ADP
fumecheng-2682	25	16	our	our	PRON
fumecheng-2682	25	17	consideration	consideration	NOUN
fumecheng-2682	25	18	,	,	PUNCT
fumecheng-2682	25	19	we	we	PRON
fumecheng-2682	25	20	first	first	ADV
fumecheng-2682	25	21	provide	provide	VERB
fumecheng-2682	25	22	a	a	DET
fumecheng-2682	25	23	brief	brief	ADJ
fumecheng-2682	25	24	overview	overview	NOUN
fumecheng-2682	25	25	of	of	ADP
fumecheng-2682	25	26	earlier	early	ADJ
fumecheng-2682	25	27	works	work	NOUN
fumecheng-2682	25	28	on	on	ADP
fumecheng-2682	25	29	this	this	DET
fumecheng-2682	25	30	topic	topic	NOUN
fumecheng-2682	25	31	.	.	PUNCT
fumecheng-2682	26	1	the	the	DET
fumecheng-2682	26	2	contact	contact	NOUN
fumecheng-2682	26	3	of	of	ADP
fumecheng-2682	26	4	cylinders	cylinder	NOUN
fumecheng-2682	26	5	with	with	ADP
fumecheng-2682	26	6	parallel	parallel	ADJ
fumecheng-2682	26	7	axes	axis	NOUN
fumecheng-2682	26	8	was	be	AUX
fumecheng-2682	26	9	early	early	ADV
fumecheng-2682	26	10	studied	study	VERB
fumecheng-2682	26	11	by	by	ADP
fumecheng-2682	26	12	prescott	prescott	PROPN
fumecheng-2682	26	13	[	[	X
fumecheng-2682	26	14	8	8	NUM
fumecheng-2682	26	15	]	]	PUNCT
fumecheng-2682	26	16	and	and	CCONJ
fumecheng-2682	26	17	thomas	thomas	PROPN
fumecheng-2682	26	18	and	and	CCONJ
fumecheng-2682	26	19	hoersch	hoersch	PROPN
fumecheng-2682	27	1	[	[	X
fumecheng-2682	27	2	9	9	NUM
fumecheng-2682	27	3	]	]	PUNCT
fumecheng-2682	27	4	,	,	PUNCT
fumecheng-2682	27	5	and	and	CCONJ
fumecheng-2682	27	6	later	later	ADV
fumecheng-2682	27	7	also	also	ADV
fumecheng-2682	27	8	investigated	investigate	VERB
fumecheng-2682	27	9	by	by	ADP
fumecheng-2682	27	10	many	many	ADJ
fumecheng-2682	27	11	researchers	researcher	NOUN
fumecheng-2682	27	12	,	,	PUNCT
fumecheng-2682	27	13	for	for	ADP
fumecheng-2682	27	14	example	example	NOUN
fumecheng-2682	27	15	lundberg	lundberg	PROPN
fumecheng-2682	27	16	et	et	PROPN
fumecheng-2682	27	17	al	al	PROPN
fumecheng-2682	27	18	.	.	PUNCT
fumecheng-2682	28	1	[	[	X
fumecheng-2682	28	2	10	10	NUM
fumecheng-2682	28	3	]	]	PUNCT
fumecheng-2682	28	4	.	.	PUNCT
fumecheng-2682	29	1	a	a	DET
fumecheng-2682	29	2	good	good	ADJ
fumecheng-2682	29	3	review	review	NOUN
fumecheng-2682	29	4	of	of	ADP
fumecheng-2682	29	5	analytical	analytical	ADJ
fumecheng-2682	29	6	solution	solution	NOUN
fumecheng-2682	29	7	for	for	ADP
fumecheng-2682	29	8	this	this	DET
fumecheng-2682	29	9	contact	contact	NOUN
fumecheng-2682	29	10	problem	problem	NOUN
fumecheng-2682	29	11	can	can	AUX
fumecheng-2682	29	12	be	be	AUX
fumecheng-2682	29	13	found	find	VERB
fumecheng-2682	29	14	in	in	ADP
fumecheng-2682	29	15	norden	norden	PROPN
fumecheng-2682	29	16	’s	’s	PART
fumecheng-2682	29	17	report	report	NOUN
fumecheng-2682	29	18	[	[	X
fumecheng-2682	29	19	11	11	NUM
fumecheng-2682	29	20	]	]	PUNCT
fumecheng-2682	29	21	,	,	PUNCT
fumecheng-2682	29	22	where	where	SCONJ
fumecheng-2682	29	23	the	the	DET
fumecheng-2682	29	24	deviation	deviation	NOUN
fumecheng-2682	29	25	of	of	ADP
fumecheng-2682	29	26	relationship	relationship	NOUN
fumecheng-2682	29	27	between	between	ADP
fumecheng-2682	29	28	the	the	DET
fumecheng-2682	29	29	normal	normal	ADJ
fumecheng-2682	29	30	load	load	NOUN
fumecheng-2682	29	31	and	and	CCONJ
fumecheng-2682	29	32	the	the	DET
fumecheng-2682	29	33	indentation	indentation	NOUN
fumecheng-2682	29	34	depth	depth	NOUN
fumecheng-2682	29	35	is	be	AUX
fumecheng-2682	29	36	given	give	VERB
fumecheng-2682	29	37	in	in	ADP
fumecheng-2682	29	38	detail	detail	NOUN
fumecheng-2682	29	39	;	;	PUNCT
fumecheng-2682	29	40	this	this	DET
fumecheng-2682	29	41	relationship	relationship	NOUN
fumecheng-2682	29	42	is	be	AUX
fumecheng-2682	29	43	still	still	ADV
fumecheng-2682	29	44	widely	widely	ADV
fumecheng-2682	29	45	used	use	VERB
fumecheng-2682	29	46	today	today	NOUN
fumecheng-2682	29	47	.	.	PUNCT
fumecheng-2682	30	1	the	the	DET
fumecheng-2682	30	2	same	same	ADJ
fumecheng-2682	30	3	analysis	analysis	NOUN
fumecheng-2682	30	4	is	be	AUX
fumecheng-2682	30	5	also	also	ADV
fumecheng-2682	30	6	presented	present	VERB
fumecheng-2682	30	7	in	in	ADP
fumecheng-2682	30	8	puttock	puttock	PROPN
fumecheng-2682	30	9	and	and	CCONJ
fumecheng-2682	30	10	thwaite	thwaite	NOUN
fumecheng-2682	30	11	’s	’s	PART
fumecheng-2682	30	12	report	report	NOUN
fumecheng-2682	30	13	[	[	X
fumecheng-2682	30	14	12	12	NUM
fumecheng-2682	30	15	]	]	PUNCT
fumecheng-2682	30	16	.	.	PUNCT
fumecheng-2682	31	1	in	in	ADP
fumecheng-2682	31	2	these	these	DET
fumecheng-2682	31	3	solutions	solution	NOUN
fumecheng-2682	31	4	,	,	PUNCT
fumecheng-2682	31	5	the	the	DET
fumecheng-2682	31	6	existing	exist	VERB
fumecheng-2682	31	7	result	result	NOUN
fumecheng-2682	31	8	of	of	ADP
fumecheng-2682	31	9	pressure	pressure	NOUN
fumecheng-2682	31	10	distribution	distribution	NOUN
fumecheng-2682	31	11	for	for	ADP
fumecheng-2682	31	12	elliptical	elliptical	ADJ
fumecheng-2682	31	13	contact	contact	NOUN
fumecheng-2682	31	14	is	be	AUX
fumecheng-2682	31	15	used	use	VERB
fumecheng-2682	31	16	for	for	ADP
fumecheng-2682	31	17	cylindrical	cylindrical	ADJ
fumecheng-2682	31	18	contact	contact	NOUN
fumecheng-2682	31	19	with	with	ADP
fumecheng-2682	31	20	parallel	parallel	ADJ
fumecheng-2682	31	21	axes	axis	NOUN
fumecheng-2682	31	22	by	by	ADP
fumecheng-2682	31	23	assuming	assume	VERB
fumecheng-2682	31	24	one	one	NUM
fumecheng-2682	31	25	axis	axis	NOUN
fumecheng-2682	31	26	of	of	ADP
fumecheng-2682	31	27	ellipse	ellipse	NOUN
fumecheng-2682	31	28	is	be	AUX
fumecheng-2682	31	29	infinitely	infinitely	ADV
fumecheng-2682	31	30	large	large	ADJ
fumecheng-2682	31	31	,	,	PUNCT
fumecheng-2682	31	32	and	and	CCONJ
fumecheng-2682	31	33	then	then	ADV
fumecheng-2682	31	34	the	the	DET
fumecheng-2682	31	35	contact	contact	NOUN
fumecheng-2682	31	36	area	area	NOUN
fumecheng-2682	31	37	is	be	AUX
fumecheng-2682	31	38	considered	consider	VERB
fumecheng-2682	31	39	as	as	ADP
fumecheng-2682	31	40	a	a	DET
fumecheng-2682	31	41	finite	finite	ADJ
fumecheng-2682	31	42	rectangle	rectangle	NOUN
fumecheng-2682	31	43	whose	whose	DET
fumecheng-2682	31	44	length	length	NOUN
fumecheng-2682	31	45	is	be	AUX
fumecheng-2682	31	46	much	much	ADV
fumecheng-2682	31	47	larger	large	ADJ
fumecheng-2682	31	48	than	than	ADP
fumecheng-2682	31	49	its	its	PRON
fumecheng-2682	31	50	width	width	NOUN
fumecheng-2682	31	51	.	.	PUNCT
fumecheng-2682	32	1	for	for	ADP
fumecheng-2682	32	2	further	further	ADJ
fumecheng-2682	32	3	reference	reference	NOUN
fumecheng-2682	32	4	,	,	PUNCT
fumecheng-2682	32	5	here	here	ADV
fumecheng-2682	32	6	we	we	PRON
fumecheng-2682	32	7	reproduce	reproduce	VERB
fumecheng-2682	32	8	their	their	PRON
fumecheng-2682	32	9	solution	solution	NOUN
fumecheng-2682	32	10	of	of	ADP
fumecheng-2682	32	11	a	a	DET
fumecheng-2682	32	12	cylinder	cylinder	NOUN
fumecheng-2682	32	13	with	with	ADP
fumecheng-2682	32	14	radius	radius	NOUN
fumecheng-2682	32	15	r	r	NOUN
fumecheng-2682	32	16	and	and	CCONJ
fumecheng-2682	32	17	length	length	NOUN
fumecheng-2682	32	18	l	l	NOUN
fumecheng-2682	32	19	pressed	press	VERB
fumecheng-2682	32	20	into	into	ADP
fumecheng-2682	32	21	elastic	elastic	ADJ
fumecheng-2682	32	22	half	half	NOUN
fumecheng-2682	32	23	space	space	NOUN
fumecheng-2682	32	24	under	under	ADP
fumecheng-2682	32	25	normal	normal	ADJ
fumecheng-2682	32	26	load	load	NOUN
fumecheng-2682	32	27	f	f	PROPN
fumecheng-2682	33	1	[	[	X
fumecheng-2682	33	2	12	12	NUM
fumecheng-2682	33	3	]	]	X
fumecheng-2682	33	4	:	:	PUNCT
fumecheng-2682	33	5	the	the	DET
fumecheng-2682	33	6	half	half	ADJ
fumecheng-2682	33	7	width	width	NOUN
fumecheng-2682	33	8	of	of	ADP
fumecheng-2682	33	9	contact	contact	NOUN
fumecheng-2682	33	10	rectangle	rectangle	NOUN
fumecheng-2682	33	11	b	b	NOUN
fumecheng-2682	33	12	is	be	AUX
fumecheng-2682	33	13	equal	equal	ADJ
fumecheng-2682	33	14	to	to	ADP
fumecheng-2682	33	15	:	:	PUNCT
fumecheng-2682	33	16	*	*	PUNCT
fumecheng-2682	33	17	4rf	4rf	NOUN
fumecheng-2682	33	18	b	b	PROPN
fumecheng-2682	33	19	e	e	PROPN
fumecheng-2682	33	20	l	l	PROPN
fumecheng-2682	33	21			PROPN
fumecheng-2682	33	22	(	(	PUNCT
fumecheng-2682	33	23	1	1	NUM
fumecheng-2682	33	24	)	)	PUNCT
fumecheng-2682	33	25	and	and	CCONJ
fumecheng-2682	33	26	indentation	indentation	NOUN
fumecheng-2682	33	27	depth	depth	NOUN
fumecheng-2682	33	28	d	d	NOUN
fumecheng-2682	33	29	is	be	AUX
fumecheng-2682	33	30	:	:	PUNCT
fumecheng-2682	33	31	*	*	PUNCT
fumecheng-2682	33	32	3	3	NUM
fumecheng-2682	33	33	2	2	NUM
fumecheng-2682	33	34	*	*	PUNCT
fumecheng-2682	33	35	*	*	PUNCT
fumecheng-2682	33	36	2	2	NUM
fumecheng-2682	33	37	4	4	NUM
fumecheng-2682	33	38	1	1	NUM
fumecheng-2682	33	39	ln	ln	NOUN
fumecheng-2682	33	40	1	1	NUM
fumecheng-2682	33	41	ln	ln	NOUN
fumecheng-2682	33	42	f	f	NOUN
fumecheng-2682	33	43	e	e	NOUN
fumecheng-2682	33	44	l	l	NOUN
fumecheng-2682	33	45	f	f	X
fumecheng-2682	33	46	l	l	NOUN
fumecheng-2682	33	47	d	d	X
fumecheng-2682	33	48	le	le	X
fumecheng-2682	33	49	rf	rf	PROPN
fumecheng-2682	33	50	le	le	PROPN
fumecheng-2682	33	51	b	b	PROPN
fumecheng-2682	33	52			PROPN
fumecheng-2682	33	53			PROPN
fumecheng-2682	33	54			ADJ
fumecheng-2682	33	55			NOUN
fumecheng-2682	33	56			NOUN
fumecheng-2682	33	57			NOUN
fumecheng-2682	33	58			PROPN
fumecheng-2682	33	59			PROPN
fumecheng-2682	33	60			ADV
fumecheng-2682	33	61			NUM
fumecheng-2682	33	62			PROPN
fumecheng-2682	33	63			PROPN
fumecheng-2682	34	1			PROPN
fumecheng-2682	34	2			PROPN
fumecheng-2682	35	1			PROPN
fumecheng-2682	35	2			PROPN
fumecheng-2682	35	3			PROPN
fumecheng-2682	35	4			NOUN
fumecheng-2682	35	5	(	(	PUNCT
fumecheng-2682	35	6	2	2	NUM
fumecheng-2682	35	7	)	)	PUNCT
fumecheng-2682	35	8	where	where	SCONJ
fumecheng-2682	35	9	e	e	X
fumecheng-2682	35	10	*	*	PUNCT
fumecheng-2682	35	11	is	be	AUX
fumecheng-2682	35	12	effective	effective	ADJ
fumecheng-2682	35	13	elastic	elastic	ADJ
fumecheng-2682	35	14	modulus	modulus	NOUN
fumecheng-2682	35	15	and	and	CCONJ
fumecheng-2682	35	16	equal	equal	ADJ
fumecheng-2682	35	17	to	to	ADP
fumecheng-2682	35	18	:	:	PUNCT
fumecheng-2682	35	19	2	2	NUM
fumecheng-2682	35	20	2	2	NUM
fumecheng-2682	35	21	1	1	NUM
fumecheng-2682	35	22	2	2	NUM
fumecheng-2682	35	23	*	*	SYM
fumecheng-2682	35	24	1	1	NUM
fumecheng-2682	35	25	2	2	NUM
fumecheng-2682	35	26	1	1	NUM
fumecheng-2682	35	27	1	1	NUM
fumecheng-2682	35	28	1	1	NUM
fumecheng-2682	35	29	e	e	NOUN
fumecheng-2682	35	30	e	e	X
fumecheng-2682	35	31	e	e	X
fumecheng-2682	35	32			ADJ
fumecheng-2682	35	33			ADJ
fumecheng-2682	35	34			PROPN
fumecheng-2682	35	35			PROPN
fumecheng-2682	35	36			PUNCT
fumecheng-2682	35	37	.	.	PUNCT
fumecheng-2682	36	1	(	(	PUNCT
fumecheng-2682	36	2	3	3	X
fumecheng-2682	36	3	)	)	PUNCT
fumecheng-2682	36	4	with	with	ADP
fumecheng-2682	36	5	e1	e1	PROPN
fumecheng-2682	36	6	and	and	CCONJ
fumecheng-2682	36	7	e2	e2	PROPN
fumecheng-2682	36	8	are	be	AUX
fumecheng-2682	36	9	elastic	elastic	ADJ
fumecheng-2682	36	10	module	module	NOUN
fumecheng-2682	36	11	of	of	ADP
fumecheng-2682	36	12	contacting	contact	VERB
fumecheng-2682	36	13	bodies	body	NOUN
fumecheng-2682	36	14	,	,	PUNCT
fumecheng-2682	36	15	ν1	ν1	NOUN
fumecheng-2682	36	16	and	and	CCONJ
fumecheng-2682	36	17	ν2	ν2	NOUN
fumecheng-2682	36	18	are	be	AUX
fumecheng-2682	36	19	poisson	poisson	NOUN
fumecheng-2682	36	20	’s	’s	PART
fumecheng-2682	36	21	ratio	ratio	NOUN
fumecheng-2682	36	22	.	.	PUNCT
fumecheng-2682	37	1	later	later	PROPN
fumecheng-2682	37	2	johnson	johnson	PROPN
fumecheng-2682	37	3	and	and	CCONJ
fumecheng-2682	37	4	other	other	ADJ
fumecheng-2682	37	5	authors	author	NOUN
fumecheng-2682	37	6	gave	give	VERB
fumecheng-2682	37	7	other	other	ADJ
fumecheng-2682	37	8	forms	form	NOUN
fumecheng-2682	37	9	of	of	ADP
fumecheng-2682	37	10	force	force	NOUN
fumecheng-2682	37	11	-	-	PUNCT
fumecheng-2682	37	12	displacement	displacement	NOUN
fumecheng-2682	37	13	e.g.	e.g.	NOUN
fumecheng-2682	37	14	:	:	PUNCT
fumecheng-2682	38	1	*	*	PUNCT
fumecheng-2682	38	2	*	*	PUNCT
fumecheng-2682	38	3	4	4	NUM
fumecheng-2682	38	4	ln	ln	NOUN
fumecheng-2682	38	5	f	f	NOUN
fumecheng-2682	38	6	e	e	X
fumecheng-2682	38	7	lr	lr	X
fumecheng-2682	38	8	d	d	X
fumecheng-2682	38	9	const	const	X
fumecheng-2682	38	10	le	le	PROPN
fumecheng-2682	38	11	f	f	PROPN
fumecheng-2682	38	12			PROPN
fumecheng-2682	38	13			PROPN
fumecheng-2682	38	14			NOUN
fumecheng-2682	38	15			NOUN
fumecheng-2682	38	16			PROPN
fumecheng-2682	38	17			PROPN
fumecheng-2682	38	18			CCONJ
fumecheng-2682	39	1			ADJ
fumecheng-2682	39	2			NOUN
fumecheng-2682	39	3	(	(	PUNCT
fumecheng-2682	39	4	4	4	NUM
fumecheng-2682	39	5	)	)	PUNCT
fumecheng-2682	39	6	where	where	SCONJ
fumecheng-2682	39	7	const=1	const=1	ADV
fumecheng-2682	39	8	in	in	ADP
fumecheng-2682	39	9	[	[	X
fumecheng-2682	39	10	4	4	NUM
fumecheng-2682	39	11	]	]	PUNCT
fumecheng-2682	39	12	,	,	PUNCT
fumecheng-2682	39	13	0.72	0.72	NUM
fumecheng-2682	39	14	and	and	CCONJ
fumecheng-2682	39	15	0.572	0.572	NUM
fumecheng-2682	39	16	in	in	ADP
fumecheng-2682	39	17	others	other	NOUN
fumecheng-2682	40	1	[	[	X
fumecheng-2682	40	2	13	13	NUM
fumecheng-2682	40	3	]	]	PUNCT
fumecheng-2682	40	4	.	.	PUNCT
fumecheng-2682	41	1	normal	normal	ADJ
fumecheng-2682	41	2	line	line	NOUN
fumecheng-2682	41	3	contact	contact	NOUN
fumecheng-2682	41	4	of	of	ADP
fumecheng-2682	41	5	finite	finite	ADJ
fumecheng-2682	41	6	-	-	PUNCT
fumecheng-2682	41	7	length	length	NOUN
fumecheng-2682	41	8	cylinders	cylinder	NOUN
fumecheng-2682	41	9	65	65	NUM
fumecheng-2682	41	10	correspondingly	correspondingly	ADV
fumecheng-2682	41	11	,	,	PUNCT
fumecheng-2682	41	12	the	the	DET
fumecheng-2682	41	13	experiment	experiment	NOUN
fumecheng-2682	41	14	investigation	investigation	NOUN
fumecheng-2682	41	15	consisting	consist	VERB
fumecheng-2682	41	16	of	of	ADP
fumecheng-2682	41	17	compression	compression	NOUN
fumecheng-2682	41	18	of	of	ADP
fumecheng-2682	41	19	parallel	parallel	ADJ
fumecheng-2682	41	20	cylinders	cylinder	NOUN
fumecheng-2682	41	21	or	or	CCONJ
fumecheng-2682	41	22	indenting	indent	VERB
fumecheng-2682	41	23	a	a	DET
fumecheng-2682	41	24	cylinder	cylinder	NOUN
fumecheng-2682	41	25	into	into	ADP
fumecheng-2682	41	26	an	an	DET
fumecheng-2682	41	27	elastic	elastic	ADJ
fumecheng-2682	41	28	body	body	NOUN
fumecheng-2682	41	29	is	be	AUX
fumecheng-2682	41	30	carried	carry	VERB
fumecheng-2682	41	31	out	out	ADP
fumecheng-2682	41	32	in	in	ADP
fumecheng-2682	41	33	[	[	X
fumecheng-2682	41	34	11	11	NUM
fumecheng-2682	41	35	,	,	PUNCT
fumecheng-2682	41	36	14	14	NUM
fumecheng-2682	41	37	]	]	PUNCT
fumecheng-2682	41	38	.	.	PUNCT
fumecheng-2682	42	1	empirical	empirical	ADJ
fumecheng-2682	42	2	equations	equation	NOUN
fumecheng-2682	42	3	of	of	ADP
fumecheng-2682	42	4	load	load	NOUN
fumecheng-2682	42	5	-	-	PUNCT
fumecheng-2682	42	6	displacement	displacement	NOUN
fumecheng-2682	42	7	are	be	AUX
fumecheng-2682	42	8	provided	provide	VERB
fumecheng-2682	42	9	to	to	PART
fumecheng-2682	42	10	verify	verify	VERB
fumecheng-2682	42	11	theoretical	theoretical	ADJ
fumecheng-2682	42	12	solutions	solution	NOUN
fumecheng-2682	42	13	.	.	PUNCT
fumecheng-2682	43	1	in	in	ADP
fumecheng-2682	43	2	thwaite	thwaite	PROPN
fumecheng-2682	43	3	’s	’s	PART
fumecheng-2682	43	4	compression	compression	NOUN
fumecheng-2682	43	5	test	test	NOUN
fumecheng-2682	43	6	[	[	X
fumecheng-2682	43	7	15	15	NUM
fumecheng-2682	43	8	]	]	PUNCT
fumecheng-2682	43	9	of	of	ADP
fumecheng-2682	43	10	a	a	DET
fumecheng-2682	43	11	contact	contact	NOUN
fumecheng-2682	43	12	between	between	ADP
fumecheng-2682	43	13	a	a	DET
fumecheng-2682	43	14	cylinder	cylinder	NOUN
fumecheng-2682	43	15	and	and	CCONJ
fumecheng-2682	43	16	a	a	DET
fumecheng-2682	43	17	half	half	ADJ
fumecheng-2682	43	18	-	-	PUNCT
fumecheng-2682	43	19	space	space	NOUN
fumecheng-2682	43	20	,	,	PUNCT
fumecheng-2682	43	21	the	the	DET
fumecheng-2682	43	22	comparison	comparison	NOUN
fumecheng-2682	43	23	of	of	ADP
fumecheng-2682	43	24	slopes	slope	NOUN
fumecheng-2682	43	25	(	(	PUNCT
fumecheng-2682	43	26	or	or	CCONJ
fumecheng-2682	43	27	contact	contact	NOUN
fumecheng-2682	43	28	stiffness	stiffness	NOUN
fumecheng-2682	43	29	)	)	PUNCT
fumecheng-2682	43	30	shows	show	VERB
fumecheng-2682	43	31	that	that	SCONJ
fumecheng-2682	43	32	the	the	DET
fumecheng-2682	43	33	solution	solution	NOUN
fumecheng-2682	43	34	(	(	PUNCT
fumecheng-2682	43	35	2	2	X
fumecheng-2682	43	36	)	)	PUNCT
fumecheng-2682	43	37	is	be	AUX
fumecheng-2682	43	38	the	the	DET
fumecheng-2682	43	39	closest	close	ADJ
fumecheng-2682	43	40	to	to	ADP
fumecheng-2682	43	41	the	the	DET
fumecheng-2682	43	42	experimental	experimental	ADJ
fumecheng-2682	43	43	results	result	NOUN
fumecheng-2682	43	44	.	.	PUNCT
fumecheng-2682	44	1	in	in	ADP
fumecheng-2682	44	2	kunz	kunz	PROPN
fumecheng-2682	44	3	’s	’s	PART
fumecheng-2682	44	4	experimental	experimental	ADJ
fumecheng-2682	44	5	investigation	investigation	NOUN
fumecheng-2682	44	6	[	[	X
fumecheng-2682	44	7	14	14	NUM
fumecheng-2682	44	8	]	]	PUNCT
fumecheng-2682	44	9	,	,	PUNCT
fumecheng-2682	44	10	it	it	PRON
fumecheng-2682	44	11	is	be	AUX
fumecheng-2682	44	12	found	find	VERB
fumecheng-2682	44	13	that	that	SCONJ
fumecheng-2682	44	14	the	the	DET
fumecheng-2682	44	15	approach	approach	NOUN
fumecheng-2682	44	16	of	of	ADP
fumecheng-2682	44	17	parallel	parallel	ADJ
fumecheng-2682	44	18	cylinders	cylinder	NOUN
fumecheng-2682	44	19	is	be	AUX
fumecheng-2682	44	20	proportional	proportional	ADJ
fumecheng-2682	44	21	to	to	ADP
fumecheng-2682	44	22	the	the	DET
fumecheng-2682	44	23	loading	loading	NOUN
fumecheng-2682	44	24	force	force	NOUN
fumecheng-2682	44	25	:	:	PUNCT
fumecheng-2682	44	26	f	f	X
fumecheng-2682	45	1	=	=	NOUN
fumecheng-2682	45	2	ce*ld	ce*ld	PROPN
fumecheng-2682	45	3	,	,	PUNCT
fumecheng-2682	45	4	where	where	SCONJ
fumecheng-2682	45	5	c	c	PROPN
fumecheng-2682	45	6	is	be	AUX
fumecheng-2682	45	7	constant	constant	ADJ
fumecheng-2682	45	8	c=0.175	c=0.175	NOUN
fumecheng-2682	45	9	.	.	PUNCT
fumecheng-2682	46	1	in	in	ADP
fumecheng-2682	46	2	the	the	DET
fumecheng-2682	46	3	last	last	ADJ
fumecheng-2682	46	4	few	few	ADJ
fumecheng-2682	46	5	decades	decade	NOUN
fumecheng-2682	46	6	,	,	PUNCT
fumecheng-2682	46	7	some	some	DET
fumecheng-2682	46	8	numerical	numerical	ADJ
fumecheng-2682	46	9	studies	study	NOUN
fumecheng-2682	46	10	of	of	ADP
fumecheng-2682	46	11	the	the	DET
fumecheng-2682	46	12	finite	finite	PROPN
fumecheng-2682	46	13	length	length	NOUN
fumecheng-2682	46	14	line	line	NOUN
fumecheng-2682	46	15	contact	contact	NOUN
fumecheng-2682	46	16	have	have	AUX
fumecheng-2682	46	17	been	be	AUX
fumecheng-2682	46	18	carried	carry	VERB
fumecheng-2682	46	19	out	out	ADP
fumecheng-2682	46	20	to	to	PART
fumecheng-2682	46	21	investigate	investigate	VERB
fumecheng-2682	46	22	the	the	DET
fumecheng-2682	46	23	effect	effect	NOUN
fumecheng-2682	46	24	of	of	ADP
fumecheng-2682	46	25	contact	contact	NOUN
fumecheng-2682	46	26	edge	edge	NOUN
fumecheng-2682	46	27	and	and	CCONJ
fumecheng-2682	46	28	bone	bone	NOUN
fumecheng-2682	46	29	shape	shape	NOUN
fumecheng-2682	46	30	of	of	ADP
fumecheng-2682	46	31	the	the	DET
fumecheng-2682	46	32	contact	contact	NOUN
fumecheng-2682	46	33	area	area	NOUN
fumecheng-2682	46	34	and	and	CCONJ
fumecheng-2682	46	35	on	on	ADP
fumecheng-2682	46	36	stress	stress	ADJ
fumecheng-2682	46	37	distribution	distribution	NOUN
fumecheng-2682	46	38	[	[	X
fumecheng-2682	46	39	16	16	NUM
fumecheng-2682	46	40	,	,	PUNCT
fumecheng-2682	46	41	17	17	NUM
fumecheng-2682	46	42	]	]	PUNCT
fumecheng-2682	46	43	.	.	PUNCT
fumecheng-2682	47	1	however	however	ADV
fumecheng-2682	47	2	,	,	PUNCT
fumecheng-2682	47	3	a	a	DET
fumecheng-2682	47	4	more	more	ADV
fumecheng-2682	47	5	precise	precise	ADJ
fumecheng-2682	47	6	solution	solution	NOUN
fumecheng-2682	47	7	for	for	ADP
fumecheng-2682	47	8	the	the	DET
fumecheng-2682	47	9	line	line	NOUN
fumecheng-2682	47	10	contact	contact	NOUN
fumecheng-2682	47	11	is	be	AUX
fumecheng-2682	47	12	rarely	rarely	ADV
fumecheng-2682	47	13	provided	provide	VERB
fumecheng-2682	47	14	.	.	PUNCT
fumecheng-2682	48	1	recently	recently	ADV
fumecheng-2682	48	2	an	an	DET
fumecheng-2682	48	3	analytical	analytical	ADJ
fumecheng-2682	48	4	solution	solution	NOUN
fumecheng-2682	48	5	for	for	ADP
fumecheng-2682	48	6	contact	contact	NOUN
fumecheng-2682	48	7	problem	problem	NOUN
fumecheng-2682	48	8	of	of	ADP
fumecheng-2682	48	9	toroidal	toroidal	ADJ
fumecheng-2682	48	10	indenter	indenter	NOUN
fumecheng-2682	48	11	is	be	AUX
fumecheng-2682	48	12	given	give	VERB
fumecheng-2682	48	13	by	by	ADP
fumecheng-2682	48	14	argatov	argatov	NOUN
fumecheng-2682	48	15	et	et	PROPN
fumecheng-2682	48	16	al	al	PROPN
fumecheng-2682	48	17	.	.	PUNCT
fumecheng-2682	49	1	[	[	X
fumecheng-2682	49	2	18	18	NUM
fumecheng-2682	49	3	]	]	PUNCT
fumecheng-2682	49	4	and	and	CCONJ
fumecheng-2682	49	5	is	be	AUX
fumecheng-2682	49	6	validated	validate	VERB
fumecheng-2682	49	7	numerically	numerically	ADV
fumecheng-2682	49	8	by	by	ADP
fumecheng-2682	49	9	the	the	DET
fumecheng-2682	49	10	boundary	boundary	ADJ
fumecheng-2682	49	11	element	element	NOUN
fumecheng-2682	49	12	method	method	NOUN
fumecheng-2682	49	13	.	.	PUNCT
fumecheng-2682	50	1	in	in	ADP
fumecheng-2682	50	2	this	this	DET
fumecheng-2682	50	3	paper	paper	NOUN
fumecheng-2682	50	4	we	we	PRON
fumecheng-2682	50	5	propose	propose	VERB
fumecheng-2682	50	6	an	an	DET
fumecheng-2682	50	7	analytical	analytical	ADJ
fumecheng-2682	50	8	approximation	approximation	NOUN
fumecheng-2682	50	9	of	of	ADP
fumecheng-2682	50	10	contact	contact	NOUN
fumecheng-2682	50	11	stiffness	stiffness	NOUN
fumecheng-2682	50	12	of	of	ADP
fumecheng-2682	50	13	a	a	DET
fumecheng-2682	50	14	rigid	rigid	ADJ
fumecheng-2682	50	15	cylinder	cylinder	NOUN
fumecheng-2682	50	16	and	and	CCONJ
fumecheng-2682	50	17	an	an	DET
fumecheng-2682	50	18	elastic	elastic	ADJ
fumecheng-2682	50	19	half	half	NOUN
fumecheng-2682	50	20	space	space	NOUN
fumecheng-2682	50	21	based	base	VERB
fumecheng-2682	50	22	on	on	ADP
fumecheng-2682	50	23	the	the	DET
fumecheng-2682	50	24	results	result	NOUN
fumecheng-2682	50	25	of	of	ADP
fumecheng-2682	50	26	[	[	X
fumecheng-2682	50	27	18	18	NUM
fumecheng-2682	50	28	]	]	PUNCT
fumecheng-2682	50	29	.	.	PUNCT
fumecheng-2682	51	1	while	while	SCONJ
fumecheng-2682	51	2	we	we	PRON
fumecheng-2682	51	3	overtake	overtake	VERB
fumecheng-2682	51	4	the	the	DET
fumecheng-2682	51	5	general	general	ADJ
fumecheng-2682	51	6	form	form	NOUN
fumecheng-2682	51	7	of	of	ADP
fumecheng-2682	51	8	solution	solution	NOUN
fumecheng-2682	51	9	,	,	PUNCT
fumecheng-2682	51	10	we	we	PRON
fumecheng-2682	51	11	let	let	VERB
fumecheng-2682	51	12	some	some	DET
fumecheng-2682	51	13	parameters	parameter	NOUN
fumecheng-2682	51	14	free	free	ADJ
fumecheng-2682	51	15	and	and	CCONJ
fumecheng-2682	51	16	determine	determine	VERB
fumecheng-2682	51	17	them	they	PRON
fumecheng-2682	51	18	finally	finally	ADV
fumecheng-2682	51	19	by	by	ADP
fumecheng-2682	51	20	numerical	numerical	ADJ
fumecheng-2682	51	21	simulation	simulation	NOUN
fumecheng-2682	51	22	of	of	ADP
fumecheng-2682	51	23	indentation	indentation	NOUN
fumecheng-2682	51	24	test	test	NOUN
fumecheng-2682	51	25	using	use	VERB
fumecheng-2682	51	26	the	the	DET
fumecheng-2682	51	27	boundary	boundary	ADJ
fumecheng-2682	51	28	element	element	NOUN
fumecheng-2682	51	29	method	method	NOUN
fumecheng-2682	51	30	.	.	PUNCT
fumecheng-2682	52	1	2	2	X
fumecheng-2682	52	2	.	.	X
fumecheng-2682	52	3	effective	effective	ADJ
fumecheng-2682	52	4	mdr	mdr	PROPN
fumecheng-2682	52	5	-	-	NOUN
fumecheng-2682	52	6	profile	profile	NOUN
fumecheng-2682	52	7	for	for	ADP
fumecheng-2682	52	8	a	a	DET
fumecheng-2682	52	9	finite	finite	ADJ
fumecheng-2682	52	10	length	length	NOUN
fumecheng-2682	52	11	lying	lie	VERB
fumecheng-2682	52	12	cylinder	cylinder	NOUN
fumecheng-2682	52	13	2.1	2.1	NUM
fumecheng-2682	52	14	.	.	PUNCT
fumecheng-2682	53	1	analytical	analytical	ADJ
fumecheng-2682	53	2	approximation	approximation	NOUN
fumecheng-2682	53	3	based	base	VERB
fumecheng-2682	53	4	on	on	ADP
fumecheng-2682	53	5	an	an	DET
fumecheng-2682	53	6	asymptotic	asymptotic	ADJ
fumecheng-2682	53	7	solution	solution	NOUN
fumecheng-2682	53	8	the	the	DET
fumecheng-2682	53	9	main	main	ADJ
fumecheng-2682	53	10	physical	physical	ADJ
fumecheng-2682	53	11	result	result	NOUN
fumecheng-2682	53	12	of	of	ADP
fumecheng-2682	53	13	this	this	DET
fumecheng-2682	53	14	paper	paper	NOUN
fumecheng-2682	53	15	will	will	AUX
fumecheng-2682	53	16	be	be	AUX
fumecheng-2682	53	17	the	the	DET
fumecheng-2682	53	18	dependence	dependence	NOUN
fumecheng-2682	53	19	of	of	ADP
fumecheng-2682	53	20	normal	normal	ADJ
fumecheng-2682	53	21	force	force	NOUN
fumecheng-2682	53	22	on	on	ADP
fumecheng-2682	53	23	the	the	DET
fumecheng-2682	53	24	indentation	indentation	NOUN
fumecheng-2682	53	25	depth	depth	NOUN
fumecheng-2682	53	26	for	for	ADP
fumecheng-2682	53	27	a	a	DET
fumecheng-2682	53	28	contact	contact	NOUN
fumecheng-2682	53	29	between	between	ADP
fumecheng-2682	53	30	an	an	DET
fumecheng-2682	53	31	elastic	elastic	ADJ
fumecheng-2682	53	32	half	half	ADJ
fumecheng-2682	53	33	-	-	PUNCT
fumecheng-2682	53	34	space	space	NOUN
fumecheng-2682	53	35	and	and	CCONJ
fumecheng-2682	53	36	a	a	DET
fumecheng-2682	53	37	“	"	PUNCT
fumecheng-2682	53	38	lying	lie	VERB
fumecheng-2682	53	39	”	"	PUNCT
fumecheng-2682	53	40	cylinder	cylinder	NOUN
fumecheng-2682	53	41	(	(	PUNCT
fumecheng-2682	53	42	with	with	ADP
fumecheng-2682	53	43	the	the	DET
fumecheng-2682	53	44	axis	axis	NOUN
fumecheng-2682	53	45	parallel	parallel	NOUN
fumecheng-2682	53	46	to	to	ADP
fumecheng-2682	53	47	the	the	DET
fumecheng-2682	53	48	surface	surface	NOUN
fumecheng-2682	53	49	of	of	ADP
fumecheng-2682	53	50	the	the	DET
fumecheng-2682	53	51	half	half	ADJ
fumecheng-2682	53	52	-	-	PUNCT
fumecheng-2682	53	53	space	space	NOUN
fumecheng-2682	53	54	.	.	PUNCT
fumecheng-2682	53	55	)	)	PUNCT
fumecheng-2682	54	1	however	however	ADV
fumecheng-2682	54	2	,	,	PUNCT
fumecheng-2682	54	3	we	we	PRON
fumecheng-2682	54	4	will	will	AUX
fumecheng-2682	54	5	“	"	PUNCT
fumecheng-2682	54	6	pack	pack	VERB
fumecheng-2682	54	7	”	"	PUNCT
fumecheng-2682	54	8	this	this	DET
fumecheng-2682	54	9	dependence	dependence	NOUN
fumecheng-2682	54	10	in	in	ADP
fumecheng-2682	54	11	the	the	DET
fumecheng-2682	54	12	terms	term	NOUN
fumecheng-2682	54	13	of	of	ADP
fumecheng-2682	54	14	the	the	DET
fumecheng-2682	54	15	method	method	NOUN
fumecheng-2682	54	16	of	of	ADP
fumecheng-2682	54	17	dimensionality	dimensionality	NOUN
fumecheng-2682	54	18	reduction	reduction	NOUN
fumecheng-2682	54	19	(	(	PUNCT
fumecheng-2682	54	20	mdr	mdr	NOUN
fumecheng-2682	54	21	)	)	PUNCT
fumecheng-2682	55	1	[	[	X
fumecheng-2682	55	2	19	19	NUM
fumecheng-2682	55	3	]	]	PUNCT
fumecheng-2682	55	4	where	where	SCONJ
fumecheng-2682	55	5	the	the	DET
fumecheng-2682	55	6	whole	whole	ADJ
fumecheng-2682	55	7	information	information	NOUN
fumecheng-2682	55	8	about	about	ADP
fumecheng-2682	55	9	the	the	DET
fumecheng-2682	55	10	system	system	NOUN
fumecheng-2682	55	11	is	be	AUX
fumecheng-2682	55	12	compressed	compress	VERB
fumecheng-2682	55	13	into	into	ADP
fumecheng-2682	55	14	effective	effective	ADJ
fumecheng-2682	55	15	plane	plane	NOUN
fumecheng-2682	55	16	profile	profile	NOUN
fumecheng-2682	55	17	g(x	g(x	NOUN
fumecheng-2682	55	18	)	)	PUNCT
fumecheng-2682	55	19	.	.	PUNCT
fumecheng-2682	56	1	the	the	DET
fumecheng-2682	56	2	advantage	advantage	NOUN
fumecheng-2682	56	3	of	of	ADP
fumecheng-2682	56	4	this	this	DET
fumecheng-2682	56	5	presentation	presentation	NOUN
fumecheng-2682	56	6	is	be	AUX
fumecheng-2682	56	7	that	that	SCONJ
fumecheng-2682	56	8	g(x	g(x	NOUN
fumecheng-2682	56	9	)	)	PUNCT
fumecheng-2682	56	10	can	can	AUX
fumecheng-2682	56	11	be	be	AUX
fumecheng-2682	56	12	used	use	VERB
fumecheng-2682	56	13	not	not	PART
fumecheng-2682	56	14	only	only	ADV
fumecheng-2682	56	15	to	to	PART
fumecheng-2682	56	16	easy	easy	ADV
fumecheng-2682	56	17	reconstruct	reconstruct	VERB
fumecheng-2682	56	18	the	the	DET
fumecheng-2682	56	19	dependency	dependency	NOUN
fumecheng-2682	56	20	of	of	ADP
fumecheng-2682	56	21	the	the	DET
fumecheng-2682	56	22	normal	normal	ADJ
fumecheng-2682	56	23	force	force	NOUN
fumecheng-2682	56	24	on	on	ADP
fumecheng-2682	56	25	the	the	DET
fumecheng-2682	56	26	indentation	indentation	NOUN
fumecheng-2682	56	27	depth	depth	NOUN
fumecheng-2682	56	28	but	but	CCONJ
fumecheng-2682	56	29	also	also	ADV
fumecheng-2682	56	30	to	to	PART
fumecheng-2682	56	31	solve	solve	VERB
fumecheng-2682	56	32	a	a	DET
fumecheng-2682	56	33	variety	variety	NOUN
fumecheng-2682	56	34	of	of	ADP
fumecheng-2682	56	35	other	other	ADJ
fumecheng-2682	56	36	related	related	ADJ
fumecheng-2682	56	37	problems	problem	NOUN
fumecheng-2682	56	38	such	such	ADJ
fumecheng-2682	56	39	as	as	ADP
fumecheng-2682	56	40	tangential	tangential	ADJ
fumecheng-2682	56	41	contact	contact	NOUN
fumecheng-2682	56	42	problem	problem	NOUN
fumecheng-2682	56	43	with	with	ADP
fumecheng-2682	56	44	friction	friction	NOUN
fumecheng-2682	56	45	in	in	ADP
fumecheng-2682	56	46	the	the	DET
fumecheng-2682	56	47	interface	interface	NOUN
fumecheng-2682	56	48	,	,	PUNCT
fumecheng-2682	56	49	adhesive	adhesive	ADJ
fumecheng-2682	56	50	contact	contact	NOUN
fumecheng-2682	56	51	problem	problem	NOUN
fumecheng-2682	56	52	,	,	PUNCT
fumecheng-2682	56	53	and	and	CCONJ
fumecheng-2682	56	54	contact	contact	NOUN
fumecheng-2682	56	55	of	of	ADP
fumecheng-2682	56	56	visco	visco	ADJ
fumecheng-2682	56	57	-	-	ADJ
fumecheng-2682	56	58	elastic	elastic	ADJ
fumecheng-2682	56	59	bodies	body	NOUN
fumecheng-2682	56	60	.	.	PUNCT
fumecheng-2682	57	1	in	in	ADP
fumecheng-2682	57	2	this	this	DET
fumecheng-2682	57	3	sense	sense	NOUN
fumecheng-2682	57	4	,	,	PUNCT
fumecheng-2682	57	5	g(x	g(x	NOUN
fumecheng-2682	57	6	)	)	PUNCT
fumecheng-2682	57	7	is	be	AUX
fumecheng-2682	57	8	,	,	PUNCT
fumecheng-2682	57	9	so	so	ADV
fumecheng-2682	57	10	to	to	PART
fumecheng-2682	57	11	say	say	VERB
fumecheng-2682	57	12	,	,	PUNCT
fumecheng-2682	57	13	the	the	DET
fumecheng-2682	57	14	“	"	PUNCT
fumecheng-2682	57	15	visiting	visit	VERB
fumecheng-2682	57	16	card	card	NOUN
fumecheng-2682	57	17	”	"	PUNCT
fumecheng-2682	57	18	of	of	ADP
fumecheng-2682	57	19	the	the	DET
fumecheng-2682	57	20	profile	profile	NOUN
fumecheng-2682	57	21	in	in	ADP
fumecheng-2682	57	22	question	question	NOUN
fumecheng-2682	57	23	which	which	PRON
fumecheng-2682	57	24	allows	allow	VERB
fumecheng-2682	57	25	multi	multi	ADJ
fumecheng-2682	57	26	-	-	ADJ
fumecheng-2682	57	27	purpose	purpose	NOUN
fumecheng-2682	57	28	use	use	NOUN
fumecheng-2682	57	29	.	.	PUNCT
fumecheng-2682	58	1	note	note	VERB
fumecheng-2682	58	2	that	that	SCONJ
fumecheng-2682	58	3	the	the	DET
fumecheng-2682	58	4	possibility	possibility	NOUN
fumecheng-2682	58	5	of	of	ADP
fumecheng-2682	58	6	mapping	map	VERB
fumecheng-2682	58	7	three	three	NUM
fumecheng-2682	58	8	-	-	PUNCT
fumecheng-2682	58	9	dimensional	dimensional	ADJ
fumecheng-2682	58	10	contacts	contact	NOUN
fumecheng-2682	58	11	onto	onto	ADP
fumecheng-2682	58	12	contacts	contact	NOUN
fumecheng-2682	58	13	with	with	ADP
fumecheng-2682	58	14	elastic	elastic	ADJ
fumecheng-2682	58	15	foundation	foundation	NOUN
fumecheng-2682	58	16	is	be	AUX
fumecheng-2682	58	17	well	well	ADV
fumecheng-2682	58	18	known	know	VERB
fumecheng-2682	58	19	for	for	ADP
fumecheng-2682	58	20	axis	axis	ADJ
fumecheng-2682	58	21	-	-	PUNCT
fumecheng-2682	58	22	symmetric	symmetric	ADJ
fumecheng-2682	58	23	indenters	indenter	NOUN
fumecheng-2682	58	24	with	with	ADP
fumecheng-2682	58	25	compact	compact	ADJ
fumecheng-2682	58	26	contact	contact	NOUN
fumecheng-2682	58	27	area	area	NOUN
fumecheng-2682	59	1	[	[	X
fumecheng-2682	59	2	19	19	NUM
fumecheng-2682	59	3	]	]	PUNCT
fumecheng-2682	59	4	.	.	PUNCT
fumecheng-2682	60	1	less	less	ADV
fumecheng-2682	60	2	known	know	VERB
fumecheng-2682	60	3	is	be	AUX
fumecheng-2682	60	4	that	that	SCONJ
fumecheng-2682	60	5	the	the	DET
fumecheng-2682	60	6	same	same	ADJ
fumecheng-2682	60	7	concept	concept	NOUN
fumecheng-2682	60	8	can	can	AUX
fumecheng-2682	60	9	also	also	ADV
fumecheng-2682	60	10	be	be	AUX
fumecheng-2682	60	11	used	use	VERB
fumecheng-2682	60	12	to	to	ADP
fumecheng-2682	60	13	arbitrary	arbitrary	ADJ
fumecheng-2682	60	14	other	other	ADJ
fumecheng-2682	60	15	profiles	profile	NOUN
fumecheng-2682	60	16	,	,	PUNCT
fumecheng-2682	60	17	as	as	ADP
fumecheng-2682	60	18	e.g.	e.g.	ADV
fumecheng-2682	60	19	of	of	ADP
fumecheng-2682	60	20	a	a	DET
fumecheng-2682	60	21	torus	torus	NOUN
fumecheng-2682	60	22	(	(	PUNCT
fumecheng-2682	60	23	not	not	PART
fumecheng-2682	60	24	compact	compact	ADJ
fumecheng-2682	60	25	contact	contact	NOUN
fumecheng-2682	60	26	area	area	NOUN
fumecheng-2682	60	27	)	)	PUNCT
fumecheng-2682	60	28	or	or	CCONJ
fumecheng-2682	60	29	a	a	DET
fumecheng-2682	60	30	rough	rough	ADJ
fumecheng-2682	60	31	surface	surface	NOUN
fumecheng-2682	60	32	.	.	PUNCT
fumecheng-2682	61	1	the	the	DET
fumecheng-2682	61	2	corresponding	corresponding	ADJ
fumecheng-2682	61	3	proof	proof	NOUN
fumecheng-2682	61	4	as	as	ADV
fumecheng-2682	61	5	well	well	ADV
fumecheng-2682	61	6	as	as	ADP
fumecheng-2682	61	7	examples	example	NOUN
fumecheng-2682	61	8	of	of	ADP
fumecheng-2682	61	9	mdr	mdr	PROPN
fumecheng-2682	61	10	-	-	NOUN
fumecheng-2682	61	11	profiles	profile	NOUN
fumecheng-2682	61	12	for	for	ADP
fumecheng-2682	61	13	a	a	DET
fumecheng-2682	61	14	number	number	NOUN
fumecheng-2682	61	15	of	of	ADP
fumecheng-2682	61	16	non	non	ADJ
fumecheng-2682	61	17	-	-	ADJ
fumecheng-2682	61	18	axisymmetric	axisymmetric	ADJ
fumecheng-2682	61	19	contacts	contact	NOUN
fumecheng-2682	61	20	can	can	AUX
fumecheng-2682	61	21	be	be	AUX
fumecheng-2682	61	22	found	find	VERB
fumecheng-2682	61	23	in	in	ADP
fumecheng-2682	61	24	[	[	X
fumecheng-2682	61	25	18	18	NUM
fumecheng-2682	61	26	]	]	PUNCT
fumecheng-2682	61	27	and	and	CCONJ
fumecheng-2682	61	28	[	[	X
fumecheng-2682	61	29	20	20	NUM
fumecheng-2682	61	30	]	]	PUNCT
fumecheng-2682	61	31	.	.	PUNCT
fumecheng-2682	62	1	profile	profile	VERB
fumecheng-2682	62	2	g(x	g(x	NOUN
fumecheng-2682	62	3	)	)	PUNCT
fumecheng-2682	62	4	determines	determine	VERB
fumecheng-2682	62	5	straightforwardly	straightforwardly	ADV
fumecheng-2682	62	6	force	force	NOUN
fumecheng-2682	62	7	-	-	PUNCT
fumecheng-2682	62	8	indentation	indentation	NOUN
fumecheng-2682	62	9	dependence	dependence	NOUN
fumecheng-2682	62	10	f(d	f(d	PROPN
fumecheng-2682	62	11	)	)	PUNCT
fumecheng-2682	62	12	.	.	PUNCT
fumecheng-2682	63	1	thus	thus	ADV
fumecheng-2682	63	2	the	the	DET
fumecheng-2682	63	3	information	information	NOUN
fumecheng-2682	63	4	content	content	NOUN
fumecheng-2682	63	5	of	of	ADP
fumecheng-2682	63	6	both	both	DET
fumecheng-2682	63	7	dependencies	dependency	NOUN
fumecheng-2682	63	8	is	be	AUX
fumecheng-2682	63	9	equal	equal	ADJ
fumecheng-2682	63	10	:	:	PUNCT
fumecheng-2682	63	11	one	one	NUM
fumecheng-2682	63	12	can	can	AUX
fumecheng-2682	63	13	either	either	CCONJ
fumecheng-2682	63	14	determine	determine	VERB
fumecheng-2682	63	15	f(d	f(d	PROPN
fumecheng-2682	63	16	)	)	PUNCT
fumecheng-2682	63	17	from	from	ADP
fumecheng-2682	63	18	g(x	g(x	NOUN
fumecheng-2682	63	19	)	)	PUNCT
fumecheng-2682	63	20	or	or	CCONJ
fumecheng-2682	63	21	g(x	g(x	NOUN
fumecheng-2682	63	22	)	)	PUNCT
fumecheng-2682	63	23	from	from	ADP
fumecheng-2682	63	24	f(d	f(d	PROPN
fumecheng-2682	63	25	)	)	PUNCT
fumecheng-2682	63	26	.	.	PUNCT
fumecheng-2682	64	1	even	even	ADV
fumecheng-2682	64	2	if	if	SCONJ
fumecheng-2682	64	3	the	the	DET
fumecheng-2682	64	4	information	information	NOUN
fumecheng-2682	64	5	content	content	NOUN
fumecheng-2682	64	6	of	of	ADP
fumecheng-2682	64	7	both	both	CCONJ
fumecheng-2682	64	8	the	the	DET
fumecheng-2682	64	9	functions	function	NOUN
fumecheng-2682	64	10	is	be	AUX
fumecheng-2682	64	11	the	the	DET
fumecheng-2682	64	12	same	same	ADJ
fumecheng-2682	64	13	,	,	PUNCT
fumecheng-2682	64	14	it	it	PRON
fumecheng-2682	64	15	is	be	AUX
fumecheng-2682	64	16	more	more	ADV
fumecheng-2682	64	17	convenient	convenient	ADJ
fumecheng-2682	64	18	to	to	PART
fumecheng-2682	64	19	have	have	VERB
fumecheng-2682	64	20	g(x	g(x	NOUN
fumecheng-2682	64	21	)	)	PUNCT
fumecheng-2682	64	22	as	as	SCONJ
fumecheng-2682	64	23	it	it	PRON
fumecheng-2682	64	24	allows	allow	VERB
fumecheng-2682	64	25	to	to	PART
fumecheng-2682	64	26	solve	solve	VERB
fumecheng-2682	64	27	much	much	ADV
fumecheng-2682	64	28	more	more	ADV
fumecheng-2682	64	29	various	various	ADJ
fumecheng-2682	64	30	problems	problem	NOUN
fumecheng-2682	64	31	than	than	ADP
fumecheng-2682	64	32	f(d	f(d	PROPN
fumecheng-2682	64	33	)	)	PUNCT
fumecheng-2682	64	34	.	.	PUNCT
fumecheng-2682	65	1	in	in	ADP
fumecheng-2682	65	2	[	[	X
fumecheng-2682	65	3	20	20	NUM
fumecheng-2682	65	4	]	]	PUNCT
fumecheng-2682	65	5	the	the	DET
fumecheng-2682	65	6	explicit	explicit	ADJ
fumecheng-2682	65	7	procedure	procedure	NOUN
fumecheng-2682	65	8	of	of	ADP
fumecheng-2682	65	9	“	"	PUNCT
fumecheng-2682	65	10	extracting	extract	VERB
fumecheng-2682	65	11	”	"	PUNCT
fumecheng-2682	65	12	profile	profile	NOUN
fumecheng-2682	65	13	g(x	g(x	NOUN
fumecheng-2682	65	14	)	)	PUNCT
fumecheng-2682	65	15	from	from	ADP
fumecheng-2682	65	16	dependency	dependency	NOUN
fumecheng-2682	65	17	f(d	f(d	PROPN
fumecheng-2682	65	18	)	)	PUNCT
fumecheng-2682	65	19	is	be	AUX
fumecheng-2682	65	20	described	describe	VERB
fumecheng-2682	65	21	.	.	PUNCT
fumecheng-2682	66	1	the	the	DET
fumecheng-2682	66	2	procedure	procedure	NOUN
fumecheng-2682	66	3	is	be	AUX
fumecheng-2682	66	4	very	very	ADV
fumecheng-2682	66	5	trivial	trivial	ADJ
fumecheng-2682	66	6	:	:	PUNCT
fumecheng-2682	66	7	from	from	ADP
fumecheng-2682	66	8	known	know	VERB
fumecheng-2682	66	9	dependency	dependency	NOUN
fumecheng-2682	66	10	f(d	f(d	PROPN
fumecheng-2682	66	11	)	)	PUNCT
fumecheng-2682	66	12	one	one	NUM
fumecheng-2682	66	13	first	first	ADJ
fumecheng-2682	66	14	determines	determine	VERB
fumecheng-2682	66	15	differential	differential	ADJ
fumecheng-2682	66	16	contact	contact	NOUN
fumecheng-2682	66	17	stiffness	stiffness	ADJ
fumecheng-2682	66	18	kn(d)=df(d)/dd	kn(d)=df(d)/dd	PROPN
fumecheng-2682	66	19	and	and	CCONJ
fumecheng-2682	66	20	then	then	ADV
fumecheng-2682	66	21	determines	determine	VERB
fumecheng-2682	66	22	the	the	DET
fumecheng-2682	66	23	dependence	dependence	NOUN
fumecheng-2682	66	24	of	of	ADP
fumecheng-2682	66	25	d	d	NOUN
fumecheng-2682	66	26	as	as	ADP
fumecheng-2682	66	27	function	function	NOUN
fumecheng-2682	66	28	of	of	ADP
fumecheng-2682	66	29	variable	variable	ADJ
fumecheng-2682	66	30	x	x	NOUN
fumecheng-2682	66	31	=	=	NOUN
fumecheng-2682	66	32	kn/(2e	kn/(2e	NOUN
fumecheng-2682	66	33	*	*	NOUN
fumecheng-2682	66	34	)	)	PUNCT
fumecheng-2682	66	35	.	.	PUNCT
fumecheng-2682	67	1	dependency	dependency	NOUN
fumecheng-2682	67	2	d(x	d(x	PROPN
fumecheng-2682	67	3	)	)	PUNCT
fumecheng-2682	67	4	is	be	AUX
fumecheng-2682	67	5	exactly	exactly	ADV
fumecheng-2682	67	6	searched	search	VERB
fumecheng-2682	67	7	-	-	PUNCT
fumecheng-2682	67	8	for	for	ADP
fumecheng-2682	67	9	function	function	NOUN
fumecheng-2682	67	10	g(x	g(x	NOUN
fumecheng-2682	67	11	)	)	PUNCT
fumecheng-2682	67	12	.	.	PUNCT
fumecheng-2682	68	1	in	in	ADP
fumecheng-2682	68	2	the	the	DET
fumecheng-2682	68	3	present	present	ADJ
fumecheng-2682	68	4	paper	paper	NOUN
fumecheng-2682	68	5	,	,	PUNCT
fumecheng-2682	68	6	this	this	DET
fumecheng-2682	68	7	procedure	procedure	NOUN
fumecheng-2682	68	8	is	be	AUX
fumecheng-2682	68	9	carried	carry	VERB
fumecheng-2682	68	10	out	out	ADP
fumecheng-2682	68	11	numerically	numerically	ADV
fumecheng-2682	68	12	:	:	PUNCT
fumecheng-2682	68	13	first	first	ADJ
fumecheng-2682	68	14	,	,	PUNCT
fumecheng-2682	68	15	dependency	dependency	NOUN
fumecheng-2682	68	16	f(d	f(d	PROPN
fumecheng-2682	68	17	)	)	PUNCT
fumecheng-2682	68	18	is	be	AUX
fumecheng-2682	68	19	determined	determine	VERB
fumecheng-2682	68	20	by	by	ADP
fumecheng-2682	68	21	direct	direct	ADJ
fumecheng-2682	68	22	simulation	simulation	NOUN
fumecheng-2682	68	23	using	use	VERB
fumecheng-2682	68	24	the	the	DET
fumecheng-2682	68	25	boundary	boundary	ADJ
fumecheng-2682	68	26	element	element	NOUN
fumecheng-2682	68	27	method	method	NOUN
fumecheng-2682	68	28	.	.	PUNCT
fumecheng-2682	69	1	subsequently	subsequently	ADV
fumecheng-2682	69	2	,	,	PUNCT
fumecheng-2682	69	3	the	the	DET
fumecheng-2682	69	4	66	66	NUM
fumecheng-2682	69	5	q.	q.	PROPN
fumecheng-2682	69	6	li	li	PROPN
fumecheng-2682	69	7	,	,	PUNCT
fumecheng-2682	69	8	v.l	v.l	PROPN
fumecheng-2682	69	9	.	.	PROPN
fumecheng-2682	69	10	popov	popov	PROPN
fumecheng-2682	69	11	described	describe	VERB
fumecheng-2682	69	12	procedure	procedure	NOUN
fumecheng-2682	69	13	is	be	AUX
fumecheng-2682	69	14	applied	apply	VERB
fumecheng-2682	69	15	to	to	PART
fumecheng-2682	69	16	extract	extract	VERB
fumecheng-2682	69	17	g(x	g(x	NOUN
fumecheng-2682	69	18	)	)	PUNCT
fumecheng-2682	69	19	.	.	PUNCT
fumecheng-2682	70	1	finally	finally	ADV
fumecheng-2682	70	2	,	,	PUNCT
fumecheng-2682	70	3	numerically	numerically	ADV
fumecheng-2682	70	4	found	find	VERB
fumecheng-2682	70	5	profile	profile	NOUN
fumecheng-2682	70	6	g(x	g(x	NOUN
fumecheng-2682	70	7	)	)	PUNCT
fumecheng-2682	70	8	is	be	AUX
fumecheng-2682	70	9	approximated	approximate	VERB
fumecheng-2682	70	10	analytically	analytically	ADV
fumecheng-2682	70	11	.	.	PUNCT
fumecheng-2682	71	1	for	for	ADP
fumecheng-2682	71	2	the	the	DET
fumecheng-2682	71	3	analytical	analytical	ADJ
fumecheng-2682	71	4	approximation	approximation	NOUN
fumecheng-2682	71	5	we	we	PRON
fumecheng-2682	71	6	use	use	VERB
fumecheng-2682	71	7	the	the	DET
fumecheng-2682	71	8	form	form	NOUN
fumecheng-2682	71	9	of	of	ADP
fumecheng-2682	71	10	g(x	g(x	NOUN
fumecheng-2682	71	11	)	)	PUNCT
fumecheng-2682	71	12	found	find	VERB
fumecheng-2682	71	13	in	in	ADP
fumecheng-2682	71	14	[	[	X
fumecheng-2682	71	15	18	18	NUM
fumecheng-2682	71	16	]	]	PUNCT
fumecheng-2682	71	17	for	for	ADP
fumecheng-2682	71	18	indentation	indentation	NOUN
fumecheng-2682	71	19	of	of	ADP
fumecheng-2682	71	20	a	a	DET
fumecheng-2682	71	21	torus	torus	NOUN
fumecheng-2682	71	22	.	.	PUNCT
fumecheng-2682	72	1	in	in	ADP
fumecheng-2682	72	2	[	[	X
fumecheng-2682	72	3	18	18	NUM
fumecheng-2682	72	4	]	]	PUNCT
fumecheng-2682	72	5	,	,	PUNCT
fumecheng-2682	72	6	it	it	PRON
fumecheng-2682	72	7	is	be	AUX
fumecheng-2682	72	8	derived	derive	VERB
fumecheng-2682	72	9	by	by	ADP
fumecheng-2682	72	10	an	an	DET
fumecheng-2682	72	11	asymptotic	asymptotic	ADJ
fumecheng-2682	72	12	analysis	analysis	NOUN
fumecheng-2682	72	13	and	and	CCONJ
fumecheng-2682	72	14	verified	verify	VERB
fumecheng-2682	72	15	through	through	ADP
fumecheng-2682	72	16	bem	bem	PROPN
fumecheng-2682	72	17	simulations	simulation	NOUN
fumecheng-2682	72	18	.	.	PUNCT
fumecheng-2682	73	1	the	the	DET
fumecheng-2682	73	2	1d	1d	NUM
fumecheng-2682	73	3	profile	profile	NOUN
fumecheng-2682	73	4	for	for	ADP
fumecheng-2682	73	5	toroidal	toroidal	ADJ
fumecheng-2682	73	6	indenter	indenter	NOUN
fumecheng-2682	73	7	is	be	AUX
fumecheng-2682	73	8	given	give	VERB
fumecheng-2682	73	9	by	by	ADP
fumecheng-2682	73	10	:	:	PUNCT
fumecheng-2682	73	11	2	2	NUM
fumecheng-2682	73	12	2	2	NUM
fumecheng-2682	73	13	2	2	NUM
fumecheng-2682	73	14	(	(	PUNCT
fumecheng-2682	73	15	)	)	PUNCT
fumecheng-2682	73	16	1	1	NUM
fumecheng-2682	73	17	exp	exp	NOUN
fumecheng-2682	73	18	8ln	8ln	ADJ
fumecheng-2682	73	19	2	2	NUM
fumecheng-2682	73	20	4	4	NUM
fumecheng-2682	73	21	r	r	NOUN
fumecheng-2682	73	22	r	r	NOUN
fumecheng-2682	73	23	r	r	NOUN
fumecheng-2682	73	24	g	g	NOUN
fumecheng-2682	73	25	x	x	SYM
fumecheng-2682	73	26	x	x	PUNCT
fumecheng-2682	73	27	x	x	SYM
fumecheng-2682	73	28			PROPN
fumecheng-2682	73	29			NOUN
fumecheng-2682	73	30			ADP
fumecheng-2682	73	31			NOUN
fumecheng-2682	73	32			PROPN
fumecheng-2682	73	33			NOUN
fumecheng-2682	73	34			PROPN
fumecheng-2682	73	35			PROPN
fumecheng-2682	74	1			CCONJ
fumecheng-2682	74	2			PROPN
fumecheng-2682	74	3			ADJ
fumecheng-2682	74	4			PROPN
fumecheng-2682	74	5			PROPN
fumecheng-2682	75	1			PROPN
fumecheng-2682	75	2			PROPN
fumecheng-2682	76	1			ADJ
fumecheng-2682	76	2			PROPN
fumecheng-2682	76	3			PROPN
fumecheng-2682	76	4			NOUN
fumecheng-2682	76	5	.	.	PUNCT
fumecheng-2682	77	1	(	(	PUNCT
fumecheng-2682	77	2	5	5	NUM
fumecheng-2682	77	3	)	)	PUNCT
fumecheng-2682	77	4	here	here	ADV
fumecheng-2682	77	5	,	,	PUNCT
fumecheng-2682	77	6	r	r	PROPN
fumecheng-2682	77	7	is	be	AUX
fumecheng-2682	77	8	the	the	DET
fumecheng-2682	77	9	distance	distance	NOUN
fumecheng-2682	77	10	from	from	ADP
fumecheng-2682	77	11	the	the	DET
fumecheng-2682	77	12	center	center	NOUN
fumecheng-2682	77	13	of	of	ADP
fumecheng-2682	77	14	the	the	DET
fumecheng-2682	77	15	torus	torus	NOUN
fumecheng-2682	77	16	tube	tube	NOUN
fumecheng-2682	77	17	to	to	ADP
fumecheng-2682	77	18	the	the	DET
fumecheng-2682	77	19	center	center	NOUN
fumecheng-2682	77	20	of	of	ADP
fumecheng-2682	77	21	the	the	DET
fumecheng-2682	77	22	torus	torus	NOUN
fumecheng-2682	77	23	,	,	PUNCT
fumecheng-2682	77	24			ADP
fumecheng-2682	77	25	is	be	AUX
fumecheng-2682	77	26	the	the	DET
fumecheng-2682	77	27	radius	radius	NOUN
fumecheng-2682	77	28	of	of	ADP
fumecheng-2682	77	29	the	the	DET
fumecheng-2682	77	30	torus	torus	PROPN
fumecheng-2682	77	31	tube	tube	NOUN
fumecheng-2682	77	32	.	.	PUNCT
fumecheng-2682	78	1	fig	fig	NOUN
fumecheng-2682	78	2	.	.	PUNCT
fumecheng-2682	79	1	1	1	NUM
fumecheng-2682	79	2	a	a	DET
fumecheng-2682	79	3	rigid	rigid	ADJ
fumecheng-2682	79	4	cylinder	cylinder	NOUN
fumecheng-2682	79	5	lying	lie	VERB
fumecheng-2682	79	6	on	on	ADP
fumecheng-2682	79	7	an	an	DET
fumecheng-2682	79	8	elastic	elastic	ADJ
fumecheng-2682	79	9	half	half	NOUN
fumecheng-2682	79	10	space	space	NOUN
fumecheng-2682	79	11	the	the	DET
fumecheng-2682	79	12	contact	contact	NOUN
fumecheng-2682	79	13	of	of	ADP
fumecheng-2682	79	14	the	the	DET
fumecheng-2682	79	15	torus	torus	NOUN
fumecheng-2682	79	16	is	be	AUX
fumecheng-2682	79	17	very	very	ADV
fumecheng-2682	79	18	similar	similar	ADJ
fumecheng-2682	79	19	to	to	ADP
fumecheng-2682	79	20	that	that	PRON
fumecheng-2682	79	21	of	of	ADP
fumecheng-2682	79	22	a	a	DET
fumecheng-2682	79	23	“	"	PUNCT
fumecheng-2682	79	24	lying	lie	VERB
fumecheng-2682	79	25	”	"	PUNCT
fumecheng-2682	79	26	cylinder	cylinder	NOUN
fumecheng-2682	79	27	:	:	PUNCT
fumecheng-2682	79	28	both	both	DET
fumecheng-2682	79	29	contacts	contact	NOUN
fumecheng-2682	79	30	are	be	AUX
fumecheng-2682	79	31	basically	basically	ADV
fumecheng-2682	79	32	line	line	NOUN
fumecheng-2682	79	33	ones	one	NOUN
fumecheng-2682	79	34	and	and	CCONJ
fumecheng-2682	79	35	thus	thus	ADV
fumecheng-2682	79	36	two	two	NUM
fumecheng-2682	79	37	-	-	PUNCT
fumecheng-2682	79	38	dimensional	dimensional	ADJ
fumecheng-2682	79	39	contacts	contact	NOUN
fumecheng-2682	79	40	whose	whose	DET
fumecheng-2682	79	41	logarithmic	logarithmic	ADJ
fumecheng-2682	79	42	divergence	divergence	NOUN
fumecheng-2682	79	43	is	be	AUX
fumecheng-2682	79	44	cut	cut	VERB
fumecheng-2682	79	45	at	at	ADP
fumecheng-2682	79	46	some	some	DET
fumecheng-2682	79	47	distance	distance	NOUN
fumecheng-2682	79	48	.	.	PUNCT
fumecheng-2682	80	1	for	for	ADP
fumecheng-2682	80	2	the	the	DET
fumecheng-2682	80	3	torus	torus	NOUN
fumecheng-2682	80	4	,	,	PUNCT
fumecheng-2682	80	5	the	the	DET
fumecheng-2682	80	6	role	role	NOUN
fumecheng-2682	80	7	of	of	ADP
fumecheng-2682	80	8	the	the	DET
fumecheng-2682	80	9	cut	cut	NOUN
fumecheng-2682	80	10	-	-	PUNCT
fumecheng-2682	80	11	off	off	ADP
fumecheng-2682	80	12	length	length	NOUN
fumecheng-2682	80	13	plays	play	VERB
fumecheng-2682	80	14	the	the	DET
fumecheng-2682	80	15	radius	radius	NOUN
fumecheng-2682	80	16	of	of	ADP
fumecheng-2682	80	17	the	the	DET
fumecheng-2682	80	18	torus	torus	NOUN
fumecheng-2682	80	19	,	,	PUNCT
fumecheng-2682	80	20	while	while	SCONJ
fumecheng-2682	80	21	in	in	ADP
fumecheng-2682	80	22	the	the	DET
fumecheng-2682	80	23	case	case	NOUN
fumecheng-2682	80	24	of	of	ADP
fumecheng-2682	80	25	the	the	DET
fumecheng-2682	80	26	lying	lie	VERB
fumecheng-2682	80	27	cylinder	cylinder	NOUN
fumecheng-2682	80	28	this	this	PRON
fumecheng-2682	80	29	is	be	AUX
fumecheng-2682	80	30	the	the	DET
fumecheng-2682	80	31	length	length	NOUN
fumecheng-2682	80	32	of	of	ADP
fumecheng-2682	80	33	the	the	DET
fumecheng-2682	80	34	cylinder	cylinder	NOUN
fumecheng-2682	80	35	.	.	PUNCT
fumecheng-2682	81	1	equation	equation	NOUN
fumecheng-2682	81	2	(	(	PUNCT
fumecheng-2682	81	3	5	5	NUM
fumecheng-2682	81	4	)	)	PUNCT
fumecheng-2682	81	5	found	find	VERB
fumecheng-2682	81	6	for	for	ADP
fumecheng-2682	81	7	the	the	DET
fumecheng-2682	81	8	torus	torus	NOUN
fumecheng-2682	81	9	thus	thus	ADV
fumecheng-2682	81	10	can	can	AUX
fumecheng-2682	81	11	be	be	AUX
fumecheng-2682	81	12	used	use	VERB
fumecheng-2682	81	13	for	for	ADP
fumecheng-2682	81	14	lying	lie	VERB
fumecheng-2682	81	15	cylinder	cylinder	NOUN
fumecheng-2682	81	16	with	with	ADP
fumecheng-2682	81	17	radius	radius	NOUN
fumecheng-2682	81	18	r	r	NOUN
fumecheng-2682	81	19	and	and	CCONJ
fumecheng-2682	81	20	length	length	NOUN
fumecheng-2682	81	21	l	l	PROPN
fumecheng-2682	81	22	(	(	PUNCT
fumecheng-2682	81	23	fig	fig	NOUN
fumecheng-2682	81	24	.	.	NOUN
fumecheng-2682	82	1	1	1	NUM
fumecheng-2682	82	2	)	)	PUNCT
fumecheng-2682	82	3	just	just	ADV
fumecheng-2682	82	4	by	by	ADP
fumecheng-2682	82	5	replacing	replace	VERB
fumecheng-2682	82	6	rl	rl	PROPN
fumecheng-2682	82	7	and	and	CCONJ
fumecheng-2682	82	8	r	r	PROPN
fumecheng-2682	82	9	.	.	PUNCT
fumecheng-2682	83	1	the	the	DET
fumecheng-2682	83	2	differences	difference	NOUN
fumecheng-2682	83	3	in	in	ADP
fumecheng-2682	83	4	two	two	NUM
fumecheng-2682	83	5	configurations	configuration	NOUN
fumecheng-2682	83	6	are	be	AUX
fumecheng-2682	83	7	taken	take	VERB
fumecheng-2682	83	8	into	into	ADP
fumecheng-2682	83	9	account	account	NOUN
fumecheng-2682	83	10	by	by	ADP
fumecheng-2682	83	11	introducing	introduce	VERB
fumecheng-2682	83	12	two	two	NUM
fumecheng-2682	83	13	coefficients	coefficient	NOUN
fumecheng-2682	83	14	c1	c1	PROPN
fumecheng-2682	83	15	and	and	CCONJ
fumecheng-2682	83	16	c2	c2	PROPN
fumecheng-2682	83	17	which	which	PRON
fumecheng-2682	83	18	in	in	ADP
fumecheng-2682	83	19	the	the	DET
fumecheng-2682	83	20	case	case	NOUN
fumecheng-2682	83	21	of	of	ADP
fumecheng-2682	83	22	the	the	DET
fumecheng-2682	83	23	torus	torus	NOUN
fumecheng-2682	83	24	are	be	AUX
fumecheng-2682	83	25	equal	equal	ADJ
fumecheng-2682	83	26	to	to	ADP
fumecheng-2682	83	27	1	1	NUM
fumecheng-2682	83	28	,	,	PUNCT
fumecheng-2682	83	29	but	but	CCONJ
fumecheng-2682	83	30	in	in	ADP
fumecheng-2682	83	31	the	the	DET
fumecheng-2682	83	32	case	case	NOUN
fumecheng-2682	83	33	a	a	DET
fumecheng-2682	83	34	lying	lie	VERB
fumecheng-2682	83	35	cylinder	cylinder	NOUN
fumecheng-2682	83	36	are	be	AUX
fumecheng-2682	83	37	allowed	allow	VERB
fumecheng-2682	83	38	to	to	PART
fumecheng-2682	83	39	take	take	VERB
fumecheng-2682	83	40	some	some	DET
fumecheng-2682	83	41	other	other	ADJ
fumecheng-2682	83	42	values	value	NOUN
fumecheng-2682	83	43	:	:	PUNCT
fumecheng-2682	83	44	2	2	NUM
fumecheng-2682	83	45	2	2	NUM
fumecheng-2682	83	46	2	2	NUM
fumecheng-2682	83	47	1	1	NUM
fumecheng-2682	83	48	2	2	NUM
fumecheng-2682	83	49	1	1	NUM
fumecheng-2682	83	50	(	(	PUNCT
fumecheng-2682	83	51	)	)	PUNCT
fumecheng-2682	83	52	1	1	NUM
fumecheng-2682	83	53	exp	exp	NOUN
fumecheng-2682	84	1	8ln	8ln	ADJ
fumecheng-2682	84	2	2	2	NUM
fumecheng-2682	84	3	4	4	NUM
fumecheng-2682	84	4	l	l	NOUN
fumecheng-2682	84	5	l	l	NOUN
fumecheng-2682	84	6	l	l	NOUN
fumecheng-2682	84	7	g	g	NOUN
fumecheng-2682	84	8	x	x	X
fumecheng-2682	84	9	c	c	NOUN
fumecheng-2682	84	10	c	c	NOUN
fumecheng-2682	84	11	c	c	NOUN
fumecheng-2682	84	12	r	r	NOUN
fumecheng-2682	84	13	x	x	PUNCT
fumecheng-2682	84	14	x	x	X
fumecheng-2682	84	15			PRON
fumecheng-2682	84	16			X
fumecheng-2682	84	17			PROPN
fumecheng-2682	84	18			NOUN
fumecheng-2682	84	19			PROPN
fumecheng-2682	84	20			PROPN
fumecheng-2682	84	21			NUM
fumecheng-2682	84	22			PUNCT
fumecheng-2682	84	23			PROPN
fumecheng-2682	84	24			PROPN
fumecheng-2682	84	25			NUM
fumecheng-2682	84	26			PROPN
fumecheng-2682	85	1			PROPN
fumecheng-2682	86	1			PROPN
fumecheng-2682	87	1			ADJ
fumecheng-2682	87	2			PROPN
fumecheng-2682	87	3			PROPN
fumecheng-2682	87	4			NOUN
fumecheng-2682	87	5	.	.	PUNCT
fumecheng-2682	88	1	(	(	PUNCT
fumecheng-2682	88	2	6	6	NUM
fumecheng-2682	88	3	)	)	PUNCT
fumecheng-2682	88	4	in	in	ADP
fumecheng-2682	88	5	a	a	DET
fumecheng-2682	88	6	more	more	ADV
fumecheng-2682	88	7	compact	compact	ADJ
fumecheng-2682	88	8	form	form	NOUN
fumecheng-2682	88	9	eq	eq	ADP
fumecheng-2682	88	10	.	.	PUNCT
fumecheng-2682	89	1	(	(	PUNCT
fumecheng-2682	89	2	6	6	NUM
fumecheng-2682	89	3	)	)	PUNCT
fumecheng-2682	89	4	can	can	AUX
fumecheng-2682	89	5	be	be	AUX
fumecheng-2682	89	6	rewritten	rewrite	VERB
fumecheng-2682	89	7	as	as	ADP
fumecheng-2682	89	8	:	:	SYM
fumecheng-2682	89	9	2	2	NUM
fumecheng-2682	89	10	(	(	PUNCT
fumecheng-2682	89	11	)	)	PUNCT
fumecheng-2682	89	12	1	1	NUM
fumecheng-2682	89	13	exp	exp	NOUN
fumecheng-2682	89	14	l	l	NOUN
fumecheng-2682	89	15	l	l	NOUN
fumecheng-2682	89	16	l	l	NOUN
fumecheng-2682	90	1	g	g	NOUN
fumecheng-2682	90	2	x	x	SYM
fumecheng-2682	90	3	r	r	NOUN
fumecheng-2682	90	4	x	x	PUNCT
fumecheng-2682	90	5	x	x	SYM
fumecheng-2682	90	6			NOUN
fumecheng-2682	90	7			X
fumecheng-2682	90	8			PROPN
fumecheng-2682	90	9			NOUN
fumecheng-2682	90	10			PROPN
fumecheng-2682	90	11			NOUN
fumecheng-2682	90	12			PROPN
fumecheng-2682	90	13			PROPN
fumecheng-2682	90	14			ADV
fumecheng-2682	90	15			PROPN
fumecheng-2682	90	16			PROPN
fumecheng-2682	91	1			PROPN
fumecheng-2682	91	2			PROPN
fumecheng-2682	92	1			ADJ
fumecheng-2682	92	2			PROPN
fumecheng-2682	92	3			PROPN
fumecheng-2682	92	4			NOUN
fumecheng-2682	92	5	(	(	PUNCT
fumecheng-2682	92	6	7	7	NUM
fumecheng-2682	92	7	)	)	PUNCT
fumecheng-2682	92	8	where	where	SCONJ
fumecheng-2682	92	9	we	we	PRON
fumecheng-2682	92	10	have	have	AUX
fumecheng-2682	92	11	introduced	introduce	VERB
fumecheng-2682	92	12	two	two	NUM
fumecheng-2682	92	13	other	other	ADJ
fumecheng-2682	92	14	fitting	fitting	ADJ
fumecheng-2682	92	15	coefficients	coefficient	NOUN
fumecheng-2682	92	16			X
fumecheng-2682	92	17	and	and	CCONJ
fumecheng-2682	92	18			PROPN
fumecheng-2682	92	19	(	(	PUNCT
fumecheng-2682	92	20	instead	instead	ADV
fumecheng-2682	92	21	of	of	ADP
fumecheng-2682	92	22	c1	c1	PROPN
fumecheng-2682	92	23	and	and	CCONJ
fumecheng-2682	92	24	c2	c2	PROPN
fumecheng-2682	92	25	)	)	PUNCT
fumecheng-2682	92	26	.	.	PUNCT
fumecheng-2682	93	1	introducing	introduce	VERB
fumecheng-2682	93	2	dimensionless	dimensionless	NOUN
fumecheng-2682	93	3	parameters	parameter	NOUN
fumecheng-2682	93	4	:	:	PUNCT
fumecheng-2682	93	5	x	x	SYM
fumecheng-2682	93	6	x	x	PUNCT
fumecheng-2682	93	7	l	l	NOUN
fumecheng-2682	93	8			NUM
fumecheng-2682	93	9	and	and	CCONJ
fumecheng-2682	93	10	2	2	NUM
fumecheng-2682	93	11	(	(	PUNCT
fumecheng-2682	93	12	)	)	PUNCT
fumecheng-2682	93	13	(	(	PUNCT
fumecheng-2682	93	14	)	)	PUNCT
fumecheng-2682	94	1	g	g	NOUN
fumecheng-2682	94	2	x	x	SYM
fumecheng-2682	94	3	r	r	NOUN
fumecheng-2682	94	4	g	g	NOUN
fumecheng-2682	94	5	x	x	PROPN
fumecheng-2682	94	6	l	l	NOUN
fumecheng-2682	94	7			NUM
fumecheng-2682	94	8	,	,	PUNCT
fumecheng-2682	94	9	(	(	PUNCT
fumecheng-2682	94	10	8)	8)	NUM
fumecheng-2682	94	11	normal	normal	ADJ
fumecheng-2682	94	12	line	line	NOUN
fumecheng-2682	94	13	contact	contact	NOUN
fumecheng-2682	94	14	of	of	ADP
fumecheng-2682	94	15	finite	finite	ADJ
fumecheng-2682	94	16	-	-	PUNCT
fumecheng-2682	94	17	length	length	NOUN
fumecheng-2682	94	18	cylinders	cylinder	NOUN
fumecheng-2682	94	19	67	67	NUM
fumecheng-2682	94	20	eq	eq	NOUN
fumecheng-2682	94	21	.	.	PUNCT
fumecheng-2682	95	1	(	(	PUNCT
fumecheng-2682	95	2	7	7	X
fumecheng-2682	95	3	)	)	PUNCT
fumecheng-2682	95	4	can	can	AUX
fumecheng-2682	95	5	be	be	AUX
fumecheng-2682	95	6	written	write	VERB
fumecheng-2682	95	7	in	in	ADP
fumecheng-2682	95	8	the	the	DET
fumecheng-2682	95	9	dimensionless	dimensionless	NOUN
fumecheng-2682	95	10	form	form	NOUN
fumecheng-2682	95	11	:	:	PUNCT
fumecheng-2682	95	12	(	(	PUNCT
fumecheng-2682	95	13	)	)	PUNCT
fumecheng-2682	95	14	1	1	NUM
fumecheng-2682	95	15	expg	expg	NOUN
fumecheng-2682	95	16	x	x	SYM
fumecheng-2682	95	17	x	x	SYM
fumecheng-2682	95	18	x	x	X
fumecheng-2682	95	19			NOUN
fumecheng-2682	95	20			X
fumecheng-2682	95	21			PROPN
fumecheng-2682	95	22			NOUN
fumecheng-2682	95	23			PROPN
fumecheng-2682	95	24			NOUN
fumecheng-2682	95	25			PROPN
fumecheng-2682	95	26			PROPN
fumecheng-2682	95	27			ADV
fumecheng-2682	95	28			PROPN
fumecheng-2682	95	29			PROPN
fumecheng-2682	95	30			PROPN
fumecheng-2682	95	31			PROPN
fumecheng-2682	96	1			ADJ
fumecheng-2682	96	2			PROPN
fumecheng-2682	96	3			PROPN
fumecheng-2682	96	4			NOUN
fumecheng-2682	96	5	.	.	PUNCT
fumecheng-2682	97	1	(	(	PUNCT
fumecheng-2682	97	2	9	9	NUM
fumecheng-2682	97	3	)	)	PUNCT
fumecheng-2682	97	4	2.2	2.2	NUM
fumecheng-2682	97	5	.	.	PUNCT
fumecheng-2682	98	1	numerical	numerical	PROPN
fumecheng-2682	98	2	simulation	simulation	PROPN
fumecheng-2682	98	3	of	of	ADP
fumecheng-2682	98	4	the	the	DET
fumecheng-2682	98	5	indentation	indentation	NOUN
fumecheng-2682	98	6	test	test	NOUN
fumecheng-2682	98	7	two	two	NUM
fumecheng-2682	98	8	unknown	unknown	ADJ
fumecheng-2682	98	9	coefficients	coefficient	NOUN
fumecheng-2682	98	10			X
fumecheng-2682	98	11	and	and	CCONJ
fumecheng-2682	98	12			NOUN
fumecheng-2682	98	13	in	in	ADP
fumecheng-2682	98	14	eq	eq	ADP
fumecheng-2682	98	15	.	.	PUNCT
fumecheng-2682	99	1	(	(	PUNCT
fumecheng-2682	99	2	7	7	X
fumecheng-2682	99	3	)	)	PUNCT
fumecheng-2682	99	4	will	will	AUX
fumecheng-2682	99	5	be	be	AUX
fumecheng-2682	99	6	determined	determine	VERB
fumecheng-2682	99	7	by	by	ADP
fumecheng-2682	99	8	numerical	numerical	ADJ
fumecheng-2682	99	9	simulation	simulation	NOUN
fumecheng-2682	99	10	of	of	ADP
fumecheng-2682	99	11	indentation	indentation	NOUN
fumecheng-2682	99	12	test	test	NOUN
fumecheng-2682	99	13	using	use	VERB
fumecheng-2682	99	14	the	the	DET
fumecheng-2682	99	15	boundary	boundary	ADJ
fumecheng-2682	99	16	element	element	NOUN
fumecheng-2682	99	17	method	method	NOUN
fumecheng-2682	99	18	which	which	PRON
fumecheng-2682	99	19	was	be	AUX
fumecheng-2682	99	20	developed	develop	VERB
fumecheng-2682	99	21	by	by	ADP
fumecheng-2682	99	22	pohrt	pohrt	PROPN
fumecheng-2682	99	23	,	,	PUNCT
fumecheng-2682	99	24	li	li	PROPN
fumecheng-2682	99	25	and	and	CCONJ
fumecheng-2682	99	26	popov	popov	PROPN
fumecheng-2682	99	27	for	for	ADP
fumecheng-2682	99	28	various	various	ADJ
fumecheng-2682	99	29	3d	3d	NUM
fumecheng-2682	99	30	contact	contact	NOUN
fumecheng-2682	99	31	problems	problem	NOUN
fumecheng-2682	99	32	including	include	VERB
fumecheng-2682	99	33	the	the	DET
fumecheng-2682	99	34	partial	partial	ADJ
fumecheng-2682	99	35	sliding	slide	VERB
fumecheng-2682	99	36	contact	contact	NOUN
fumecheng-2682	99	37	[	[	X
fumecheng-2682	99	38	21	21	NUM
fumecheng-2682	99	39	]	]	PUNCT
fumecheng-2682	99	40	and	and	CCONJ
fumecheng-2682	99	41	adhesive	adhesive	ADJ
fumecheng-2682	99	42	contact	contact	NOUN
fumecheng-2682	99	43	[	[	X
fumecheng-2682	99	44	22	22	NUM
fumecheng-2682	99	45	,	,	PUNCT
fumecheng-2682	99	46	23	23	NUM
fumecheng-2682	99	47	]	]	PUNCT
fumecheng-2682	99	48	.	.	PUNCT
fumecheng-2682	100	1	in	in	ADP
fumecheng-2682	100	2	the	the	DET
fumecheng-2682	100	3	simulation	simulation	NOUN
fumecheng-2682	100	4	,	,	PUNCT
fumecheng-2682	100	5	the	the	DET
fumecheng-2682	100	6	whole	whole	ADJ
fumecheng-2682	100	7	simulation	simulation	NOUN
fumecheng-2682	100	8	area	area	NOUN
fumecheng-2682	100	9	was	be	AUX
fumecheng-2682	100	10	divided	divide	VERB
fumecheng-2682	100	11	into	into	ADP
fumecheng-2682	100	12	512512	512512	NUM
fumecheng-2682	100	13	rectangular	rectangular	ADJ
fumecheng-2682	100	14	elements	element	NOUN
fumecheng-2682	100	15	.	.	PUNCT
fumecheng-2682	101	1	the	the	DET
fumecheng-2682	101	2	rigid	rigid	ADJ
fumecheng-2682	101	3	cylinder	cylinder	NOUN
fumecheng-2682	101	4	was	be	AUX
fumecheng-2682	101	5	modeled	model	VERB
fumecheng-2682	101	6	as	as	ADP
fumecheng-2682	101	7	parabolic	parabolic	PROPN
fumecheng-2682	101	8	indenter	indenter	PROPN
fumecheng-2682	101	9	f(y)=y2/(2r	f(y)=y2/(2r	PROPN
fumecheng-2682	101	10	)	)	PUNCT
fumecheng-2682	101	11	,	,	PUNCT
fumecheng-2682	101	12	where	where	SCONJ
fumecheng-2682	101	13	y	y	PROPN
fumecheng-2682	101	14	is	be	AUX
fumecheng-2682	101	15	in	in	ADP
fumecheng-2682	101	16	-	-	PUNCT
fumecheng-2682	101	17	plane	plane	NOUN
fumecheng-2682	101	18	coordinate	coordinate	NOUN
fumecheng-2682	101	19	perpendicular	perpendicular	NOUN
fumecheng-2682	101	20	to	to	ADP
fumecheng-2682	101	21	the	the	DET
fumecheng-2682	101	22	axis	axis	NOUN
fumecheng-2682	101	23	of	of	ADP
fumecheng-2682	101	24	the	the	DET
fumecheng-2682	101	25	cylinder	cylinder	NOUN
fumecheng-2682	101	26	.	.	PUNCT
fumecheng-2682	102	1	the	the	DET
fumecheng-2682	102	2	cylinder	cylinder	NOUN
fumecheng-2682	102	3	was	be	AUX
fumecheng-2682	102	4	indented	indent	VERB
fumecheng-2682	102	5	in	in	ADP
fumecheng-2682	102	6	an	an	DET
fumecheng-2682	102	7	elastic	elastic	ADJ
fumecheng-2682	102	8	half	half	NOUN
fumecheng-2682	102	9	space	space	NOUN
fumecheng-2682	102	10	with	with	ADP
fumecheng-2682	102	11	controlled	control	VERB
fumecheng-2682	102	12	indentation	indentation	NOUN
fumecheng-2682	102	13	depth	depth	NOUN
fumecheng-2682	102	14	in	in	ADP
fumecheng-2682	102	15	100	100	NUM
fumecheng-2682	102	16	steps	step	NOUN
fumecheng-2682	102	17	from	from	ADP
fumecheng-2682	102	18	zero	zero	NUM
fumecheng-2682	102	19	(	(	PUNCT
fumecheng-2682	102	20	first	first	ADJ
fumecheng-2682	102	21	contact	contact	NOUN
fumecheng-2682	102	22	)	)	PUNCT
fumecheng-2682	102	23	to	to	AUX
fumecheng-2682	102	24	0.15r	0.15r	VERB
fumecheng-2682	102	25	.	.	PUNCT
fumecheng-2682	103	1	the	the	DET
fumecheng-2682	103	2	pressure	pressure	NOUN
fumecheng-2682	103	3	distribution	distribution	NOUN
fumecheng-2682	103	4	as	as	ADV
fumecheng-2682	103	5	well	well	ADV
fumecheng-2682	103	6	as	as	ADP
fumecheng-2682	103	7	the	the	DET
fumecheng-2682	103	8	normal	normal	ADJ
fumecheng-2682	103	9	load	load	NOUN
fumecheng-2682	103	10	and	and	CCONJ
fumecheng-2682	103	11	normal	normal	ADJ
fumecheng-2682	103	12	contact	contact	NOUN
fumecheng-2682	103	13	stiffness	stiffness	NOUN
fumecheng-2682	103	14	were	be	AUX
fumecheng-2682	103	15	calculated	calculate	VERB
fumecheng-2682	103	16	in	in	ADP
fumecheng-2682	103	17	each	each	DET
fumecheng-2682	103	18	step	step	NOUN
fumecheng-2682	103	19	of	of	ADP
fumecheng-2682	103	20	indentation	indentation	NOUN
fumecheng-2682	103	21	.	.	PUNCT
fumecheng-2682	104	1	one	one	NUM
fumecheng-2682	104	2	example	example	NOUN
fumecheng-2682	104	3	of	of	ADP
fumecheng-2682	104	4	contact	contact	NOUN
fumecheng-2682	104	5	configuration	configuration	NOUN
fumecheng-2682	104	6	and	and	CCONJ
fumecheng-2682	104	7	pressure	pressure	NOUN
fumecheng-2682	104	8	distribution	distribution	NOUN
fumecheng-2682	104	9	is	be	AUX
fumecheng-2682	104	10	shown	show	VERB
fumecheng-2682	104	11	in	in	ADP
fumecheng-2682	104	12	fig	fig	NOUN
fumecheng-2682	104	13	.	.	PUNCT
fumecheng-2682	105	1	2	2	X
fumecheng-2682	105	2	.	.	X
fumecheng-2682	105	3	the	the	DET
fumecheng-2682	105	4	concentration	concentration	NOUN
fumecheng-2682	105	5	of	of	ADP
fumecheng-2682	105	6	pressure	pressure	NOUN
fumecheng-2682	105	7	at	at	ADP
fumecheng-2682	105	8	the	the	DET
fumecheng-2682	105	9	contact	contact	NOUN
fumecheng-2682	105	10	edge	edge	NOUN
fumecheng-2682	105	11	can	can	AUX
fumecheng-2682	105	12	be	be	AUX
fumecheng-2682	105	13	clearly	clearly	ADV
fumecheng-2682	105	14	observed	observe	VERB
fumecheng-2682	105	15	in	in	ADP
fumecheng-2682	105	16	fig	fig	NOUN
fumecheng-2682	105	17	.	.	PUNCT
fumecheng-2682	106	1	2b	2b	NUM
fumecheng-2682	106	2	.	.	PUNCT
fumecheng-2682	107	1	(	(	PUNCT
fumecheng-2682	107	2	a	a	X
fumecheng-2682	107	3	)	)	PUNCT
fumecheng-2682	107	4	(	(	PUNCT
fumecheng-2682	107	5	b	b	X
fumecheng-2682	107	6	)	)	PUNCT
fumecheng-2682	107	7	fig	fig	NOUN
fumecheng-2682	107	8	.	.	PUNCT
fumecheng-2682	108	1	2	2	NUM
fumecheng-2682	108	2	an	an	DET
fumecheng-2682	108	3	example	example	NOUN
fumecheng-2682	108	4	of	of	ADP
fumecheng-2682	108	5	numerical	numerical	ADJ
fumecheng-2682	108	6	simulation	simulation	NOUN
fumecheng-2682	108	7	for	for	ADP
fumecheng-2682	108	8	l	l	NOUN
fumecheng-2682	108	9	/	/	SYM
fumecheng-2682	108	10	r=5	r=5	PROPN
fumecheng-2682	108	11	and	and	CCONJ
fumecheng-2682	108	12	d=0.1r	d=0.1r	PROPN
fumecheng-2682	108	13	:	:	PUNCT
fumecheng-2682	108	14	(	(	PUNCT
fumecheng-2682	108	15	a	a	X
fumecheng-2682	108	16	)	)	PUNCT
fumecheng-2682	108	17	contact	contact	NOUN
fumecheng-2682	108	18	state	state	NOUN
fumecheng-2682	108	19	(	(	PUNCT
fumecheng-2682	108	20	b	b	NOUN
fumecheng-2682	108	21	)	)	PUNCT
fumecheng-2682	108	22	pressure	pressure	NOUN
fumecheng-2682	108	23	distribution	distribution	NOUN
fumecheng-2682	108	24	3	3	NUM
fumecheng-2682	108	25	.	.	NOUN
fumecheng-2682	108	26	results	result	NOUN
fumecheng-2682	108	27	and	and	CCONJ
fumecheng-2682	108	28	discussion	discussion	NOUN
fumecheng-2682	108	29	we	we	PRON
fumecheng-2682	108	30	have	have	AUX
fumecheng-2682	108	31	performed	perform	VERB
fumecheng-2682	108	32	indentation	indentation	NOUN
fumecheng-2682	108	33	simulations	simulation	NOUN
fumecheng-2682	108	34	for	for	ADP
fumecheng-2682	108	35	cylinders	cylinder	NOUN
fumecheng-2682	108	36	with	with	ADP
fumecheng-2682	108	37	29	29	NUM
fumecheng-2682	108	38	increasing	increase	VERB
fumecheng-2682	108	39	values	value	NOUN
fumecheng-2682	108	40	of	of	ADP
fumecheng-2682	108	41	l	l	NOUN
fumecheng-2682	108	42	/	/	SYM
fumecheng-2682	108	43	r	r	NOUN
fumecheng-2682	108	44	ranging	range	VERB
fumecheng-2682	108	45	from	from	ADP
fumecheng-2682	108	46	l	l	NOUN
fumecheng-2682	108	47	/	/	SYM
fumecheng-2682	108	48	r	r	NOUN
fumecheng-2682	108	49	=	=	NOUN
fumecheng-2682	108	50	0.1	0.1	NUM
fumecheng-2682	108	51	to	to	PART
fumecheng-2682	108	52	20	20	NUM
fumecheng-2682	108	53	(	(	PUNCT
fumecheng-2682	108	54	10	10	NUM
fumecheng-2682	108	55	linearly	linearly	ADV
fumecheng-2682	108	56	increasing	increase	VERB
fumecheng-2682	108	57	l	l	NOUN
fumecheng-2682	108	58	/	/	SYM
fumecheng-2682	108	59	r	r	NOUN
fumecheng-2682	108	60	from	from	ADP
fumecheng-2682	108	61	0.1	0.1	NUM
fumecheng-2682	108	62	to	to	ADP
fumecheng-2682	108	63	1	1	NUM
fumecheng-2682	108	64	,	,	PUNCT
fumecheng-2682	108	65	and	and	CCONJ
fumecheng-2682	108	66	19	19	NUM
fumecheng-2682	108	67	from	from	ADP
fumecheng-2682	108	68	2	2	NUM
fumecheng-2682	108	69	to	to	ADP
fumecheng-2682	108	70	20	20	NUM
fumecheng-2682	108	71	)	)	PUNCT
fumecheng-2682	108	72	.	.	PUNCT
fumecheng-2682	109	1	resulting	result	VERB
fumecheng-2682	109	2	mdr	mdr	PROPN
fumecheng-2682	109	3	-	-	PUNCT
fumecheng-2682	109	4	profiles	profile	NOUN
fumecheng-2682	109	5	g(x	g(x	NOUN
fumecheng-2682	109	6	)	)	PUNCT
fumecheng-2682	109	7	are	be	AUX
fumecheng-2682	109	8	shown	show	VERB
fumecheng-2682	109	9	with	with	ADP
fumecheng-2682	109	10	crosses	crosse	NOUN
fumecheng-2682	109	11	in	in	ADP
fumecheng-2682	109	12	fig	fig	NOUN
fumecheng-2682	109	13	.	.	PUNCT
fumecheng-2682	110	1	3a	3a	NUM
fumecheng-2682	110	2	.	.	PUNCT
fumecheng-2682	111	1	in	in	ADP
fumecheng-2682	111	2	fig	fig	NOUN
fumecheng-2682	111	3	.	.	PUNCT
fumecheng-2682	112	1	3b	3b	NUM
fumecheng-2682	112	2	,	,	PUNCT
fumecheng-2682	112	3	all	all	DET
fumecheng-2682	112	4	curves	curve	NOUN
fumecheng-2682	112	5	are	be	AUX
fumecheng-2682	112	6	plotted	plot	VERB
fumecheng-2682	112	7	in	in	ADP
fumecheng-2682	112	8	dimensionless	dimensionless	NOUN
fumecheng-2682	112	9	form	form	NOUN
fumecheng-2682	112	10	in	in	ADP
fumecheng-2682	112	11	coordinates	coordinate	NOUN
fumecheng-2682	112	12	(	(	PUNCT
fumecheng-2682	112	13	8)	8)	NUM
fumecheng-2682	112	14	.	.	PUNCT
fumecheng-2682	113	1	it	it	PRON
fumecheng-2682	113	2	is	be	AUX
fumecheng-2682	113	3	seen	see	VERB
fumecheng-2682	113	4	that	that	SCONJ
fumecheng-2682	113	5	all	all	DET
fumecheng-2682	113	6	crosses	crosse	NOUN
fumecheng-2682	113	7	for	for	ADP
fumecheng-2682	113	8	different	different	ADJ
fumecheng-2682	113	9	l	l	NOUN
fumecheng-2682	113	10	/	/	SYM
fumecheng-2682	113	11	r	r	NOUN
fumecheng-2682	113	12	collapse	collapse	NOUN
fumecheng-2682	113	13	to	to	ADP
fumecheng-2682	113	14	a	a	DET
fumecheng-2682	113	15	single	single	ADJ
fumecheng-2682	113	16	curve	curve	NOUN
fumecheng-2682	113	17	thus	thus	ADV
fumecheng-2682	113	18	confirming	confirm	VERB
fumecheng-2682	113	19	the	the	DET
fumecheng-2682	113	20	basic	basic	ADJ
fumecheng-2682	113	21	structure	structure	NOUN
fumecheng-2682	113	22	of	of	ADP
fumecheng-2682	113	23	the	the	DET
fumecheng-2682	113	24	solution	solution	NOUN
fumecheng-2682	113	25	:	:	PUNCT
fumecheng-2682	114	1	2	2	NUM
fumecheng-2682	114	2	(	(	PUNCT
fumecheng-2682	114	3	)	)	PUNCT
fumecheng-2682	114	4	l	l	NOUN
fumecheng-2682	114	5	x	x	PUNCT
fumecheng-2682	114	6	g	g	NOUN
fumecheng-2682	114	7	x	x	SYM
fumecheng-2682	114	8	r	r	NOUN
fumecheng-2682	114	9	l	l	NOUN
fumecheng-2682	114	10			NOUN
fumecheng-2682	114	11			NOUN
fumecheng-2682	114	12			NUM
fumecheng-2682	114	13			NUM
fumecheng-2682	114	14			NUM
fumecheng-2682	115	1			ADJ
fumecheng-2682	115	2			NOUN
fumecheng-2682	115	3	.	.	PUNCT
fumecheng-2682	116	1	(	(	PUNCT
fumecheng-2682	116	2	10	10	NUM
fumecheng-2682	116	3	)	)	PUNCT
fumecheng-2682	116	4	68	68	NUM
fumecheng-2682	116	5	q.	q.	PROPN
fumecheng-2682	116	6	li	li	PROPN
fumecheng-2682	116	7	,	,	PUNCT
fumecheng-2682	116	8	v.l	v.l	PROPN
fumecheng-2682	116	9	.	.	PROPN
fumecheng-2682	116	10	popov	popov	PROPN
fumecheng-2682	116	11	fig	fig	PROPN
fumecheng-2682	116	12	.	.	PUNCT
fumecheng-2682	117	1	3b	3b	PROPN
fumecheng-2682	117	2	provides	provide	VERB
fumecheng-2682	117	3	the	the	DET
fumecheng-2682	117	4	numerically	numerically	ADV
fumecheng-2682	117	5	determined	determined	ADJ
fumecheng-2682	117	6	form	form	NOUN
fumecheng-2682	117	7	of	of	ADP
fumecheng-2682	117	8	function	function	NOUN
fumecheng-2682	117	9			PROPN
fumecheng-2682	117	10	(	(	PUNCT
fumecheng-2682	117	11	.	.	PUNCT
fumecheng-2682	117	12	)	)	PUNCT
fumecheng-2682	117	13	.	.	PUNCT
fumecheng-2682	118	1	fig	fig	NOUN
fumecheng-2682	118	2	.	.	PUNCT
fumecheng-2682	119	1	3	3	NUM
fumecheng-2682	119	2	1d	1d	NUM
fumecheng-2682	119	3	profile	profile	NOUN
fumecheng-2682	119	4	of	of	ADP
fumecheng-2682	119	5	lying	lie	VERB
fumecheng-2682	119	6	cylinder	cylinder	NOUN
fumecheng-2682	119	7	calculated	calculate	VERB
fumecheng-2682	119	8	by	by	ADP
fumecheng-2682	119	9	bem	bem	PROPN
fumecheng-2682	119	10	simulation	simulation	NOUN
fumecheng-2682	119	11	(	(	PUNCT
fumecheng-2682	119	12	cross	cross	NOUN
fumecheng-2682	119	13	)	)	PUNCT
fumecheng-2682	119	14	and	and	CCONJ
fumecheng-2682	119	15	fitting	fit	VERB
fumecheng-2682	119	16	with	with	ADP
fumecheng-2682	119	17	eq	eq	NOUN
fumecheng-2682	119	18	.	.	PUNCT
fumecheng-2682	119	19	(	(	PUNCT
fumecheng-2682	119	20	7	7	NUM
fumecheng-2682	119	21	)	)	PUNCT
fumecheng-2682	119	22	in	in	ADP
fumecheng-2682	119	23	the	the	DET
fumecheng-2682	119	24	following	following	NOUN
fumecheng-2682	119	25	,	,	PUNCT
fumecheng-2682	119	26	we	we	PRON
fumecheng-2682	119	27	provide	provide	VERB
fumecheng-2682	119	28	analytical	analytical	ADJ
fumecheng-2682	119	29	approximation	approximation	NOUN
fumecheng-2682	119	30	for	for	ADP
fumecheng-2682	119	31	this	this	DET
fumecheng-2682	119	32	function	function	NOUN
fumecheng-2682	119	33	on	on	ADP
fumecheng-2682	119	34	the	the	DET
fumecheng-2682	119	35	basis	basis	NOUN
fumecheng-2682	119	36	of	of	ADP
fumecheng-2682	119	37	eq	eq	NOUN
fumecheng-2682	119	38	(	(	PUNCT
fumecheng-2682	119	39	9	9	NUM
fumecheng-2682	119	40	)	)	PUNCT
fumecheng-2682	119	41	.	.	PUNCT
fumecheng-2682	120	1	the	the	DET
fumecheng-2682	120	2	values	value	NOUN
fumecheng-2682	120	3	of	of	ADP
fumecheng-2682	120	4	coefficients	coefficient	NOUN
fumecheng-2682	120	5			X
fumecheng-2682	120	6	and	and	CCONJ
fumecheng-2682	120	7			PROPN
fumecheng-2682	120	8	are	be	AUX
fumecheng-2682	120	9	calculated	calculate	VERB
fumecheng-2682	120	10	by	by	ADP
fumecheng-2682	120	11	the	the	DET
fumecheng-2682	120	12	method	method	NOUN
fumecheng-2682	120	13	of	of	ADP
fumecheng-2682	120	14	least	least	ADJ
fumecheng-2682	120	15	squares	square	NOUN
fumecheng-2682	120	16	.	.	PUNCT
fumecheng-2682	121	1	the	the	DET
fumecheng-2682	121	2	agreement	agreement	NOUN
fumecheng-2682	121	3	of	of	ADP
fumecheng-2682	121	4	fitting	fitting	ADJ
fumecheng-2682	121	5	(	(	PUNCT
fumecheng-2682	121	6	black	black	ADJ
fumecheng-2682	121	7	solid	solid	ADJ
fumecheng-2682	121	8	lines	line	NOUN
fumecheng-2682	121	9	)	)	PUNCT
fumecheng-2682	121	10	with	with	ADP
fumecheng-2682	121	11	numerical	numerical	PROPN
fumecheng-2682	121	12	simulation	simulation	NOUN
fumecheng-2682	121	13	can	can	AUX
fumecheng-2682	121	14	be	be	AUX
fumecheng-2682	121	15	seen	see	VERB
fumecheng-2682	121	16	in	in	ADP
fumecheng-2682	121	17	fig	fig	NOUN
fumecheng-2682	121	18	.	.	PUNCT
fumecheng-2682	122	1	3	3	X
fumecheng-2682	122	2	.	.	X
fumecheng-2682	122	3	values	value	NOUN
fumecheng-2682	122	4	of	of	ADP
fumecheng-2682	122	5			NOUN
fumecheng-2682	122	6	and	and	CCONJ
fumecheng-2682	122	7			PROPN
fumecheng-2682	122	8	are	be	AUX
fumecheng-2682	122	9	presented	present	VERB
fumecheng-2682	122	10	in	in	ADP
fumecheng-2682	122	11	fig	fig	NOUN
fumecheng-2682	122	12	.	.	PUNCT
fumecheng-2682	123	1	4	4	NUM
fumecheng-2682	123	2	,	,	PUNCT
fumecheng-2682	123	3	where	where	SCONJ
fumecheng-2682	123	4	we	we	PRON
fumecheng-2682	123	5	can	can	AUX
fumecheng-2682	123	6	see	see	VERB
fumecheng-2682	123	7	that	that	SCONJ
fumecheng-2682	123	8	both	both	DET
fumecheng-2682	123	9	factors	factor	NOUN
fumecheng-2682	123	10	are	be	AUX
fumecheng-2682	123	11	almost	almost	ADV
fumecheng-2682	123	12	constant	constant	ADJ
fumecheng-2682	123	13	for	for	ADP
fumecheng-2682	123	14	large	large	ADJ
fumecheng-2682	123	15	ratios	ratio	NOUN
fumecheng-2682	123	16	of	of	ADP
fumecheng-2682	123	17	l	l	NOUN
fumecheng-2682	123	18	/	/	SYM
fumecheng-2682	123	19	r	r	NOUN
fumecheng-2682	123	20	but	but	CCONJ
fumecheng-2682	123	21	change	change	VERB
fumecheng-2682	123	22	significantly	significantly	ADV
fumecheng-2682	123	23	for	for	ADP
fumecheng-2682	123	24	small	small	ADJ
fumecheng-2682	123	25	ratios	ratio	NOUN
fumecheng-2682	123	26	.	.	PUNCT
fumecheng-2682	124	1	we	we	PRON
fumecheng-2682	124	2	thus	thus	ADV
fumecheng-2682	124	3	discuss	discuss	VERB
fumecheng-2682	124	4	the	the	DET
fumecheng-2682	124	5	cases	case	NOUN
fumecheng-2682	124	6	of	of	ADP
fumecheng-2682	124	7	“	"	PUNCT
fumecheng-2682	124	8	long	long	ADJ
fumecheng-2682	124	9	cylinders	cylinder	NOUN
fumecheng-2682	124	10	”	"	PUNCT
fumecheng-2682	124	11	and	and	CCONJ
fumecheng-2682	124	12	“	"	PUNCT
fumecheng-2682	124	13	short	short	ADJ
fumecheng-2682	124	14	cylinders	cylinder	NOUN
fumecheng-2682	124	15	”	"	PUNCT
fumecheng-2682	124	16	separately	separately	ADV
fumecheng-2682	124	17	.	.	PUNCT
fumecheng-2682	125	1	fig	fig	NOUN
fumecheng-2682	125	2	.	.	PUNCT
fumecheng-2682	126	1	4	4	NUM
fumecheng-2682	126	2	values	value	NOUN
fumecheng-2682	126	3	of	of	ADP
fumecheng-2682	126	4	coefficients	coefficient	NOUN
fumecheng-2682	126	5	of	of	ADP
fumecheng-2682	126	6	α	α	NOUN
fumecheng-2682	126	7	(	(	PUNCT
fumecheng-2682	126	8	a	a	NOUN
fumecheng-2682	126	9	)	)	PUNCT
fumecheng-2682	126	10	and	and	CCONJ
fumecheng-2682	126	11	β	β	X
fumecheng-2682	126	12	(	(	PUNCT
fumecheng-2682	126	13	b	b	NOUN
fumecheng-2682	126	14	)	)	PUNCT
fumecheng-2682	126	15	for	for	ADP
fumecheng-2682	126	16	different	different	ADJ
fumecheng-2682	126	17	ratios	ratio	NOUN
fumecheng-2682	126	18	of	of	ADP
fumecheng-2682	126	19	l	l	NOUN
fumecheng-2682	126	20	/	/	SYM
fumecheng-2682	126	21	r	r	NOUN
fumecheng-2682	126	22	obtained	obtain	VERB
fumecheng-2682	126	23	by	by	ADP
fumecheng-2682	126	24	fitting	fitting	NOUN
fumecheng-2682	126	25	of	of	ADP
fumecheng-2682	126	26	eq	eq	PROPN
fumecheng-2682	126	27	.	.	PUNCT
fumecheng-2682	126	28	(	(	PUNCT
fumecheng-2682	126	29	7	7	NUM
fumecheng-2682	126	30	)	)	PUNCT
fumecheng-2682	126	31	with	with	ADP
fumecheng-2682	126	32	numerical	numerical	ADJ
fumecheng-2682	126	33	results	result	NOUN
fumecheng-2682	126	34	(	(	PUNCT
fumecheng-2682	126	35	a	a	X
fumecheng-2682	126	36	)	)	PUNCT
fumecheng-2682	126	37	large	large	ADJ
fumecheng-2682	126	38	ratio	ratio	NOUN
fumecheng-2682	126	39	l	l	PROPN
fumecheng-2682	126	40	/	/	SYM
fumecheng-2682	126	41	r	r	NOUN
fumecheng-2682	126	42	(	(	PUNCT
fumecheng-2682	126	43	“	"	PUNCT
fumecheng-2682	126	44	long	long	ADJ
fumecheng-2682	126	45	cylinder	cylinder	NOUN
fumecheng-2682	126	46	”	"	PUNCT
fumecheng-2682	126	47	)	)	PUNCT
fumecheng-2682	126	48	from	from	ADP
fumecheng-2682	126	49	fig	fig	NOUN
fumecheng-2682	126	50	.	.	PUNCT
fumecheng-2682	127	1	4	4	NUM
fumecheng-2682	127	2	,	,	PUNCT
fumecheng-2682	127	3	one	one	PRON
fumecheng-2682	127	4	can	can	AUX
fumecheng-2682	127	5	see	see	VERB
fumecheng-2682	127	6	that	that	SCONJ
fumecheng-2682	127	7			NOUN
fumecheng-2682	127	8	and	and	CCONJ
fumecheng-2682	127	9			NOUN
fumecheng-2682	127	10	for	for	ADP
fumecheng-2682	127	11	larger	large	ADJ
fumecheng-2682	127	12	l	l	NOUN
fumecheng-2682	127	13	/	/	SYM
fumecheng-2682	127	14	r	r	NOUN
fumecheng-2682	127	15	are	be	AUX
fumecheng-2682	127	16	almost	almost	ADV
fumecheng-2682	127	17	constant	constant	ADJ
fumecheng-2682	127	18	:	:	PUNCT
fumecheng-2682	127	19	=/2	=/2	NOUN
fumecheng-2682	127	20	and	and	CCONJ
fumecheng-2682	127	21	=0.4537	=0.4537	NOUN
fumecheng-2682	127	22	.	.	PROPN
fumecheng-2682	127	23	thus	thus	ADV
fumecheng-2682	127	24	,	,	PUNCT
fumecheng-2682	127	25	for	for	ADP
fumecheng-2682	127	26	large	large	ADJ
fumecheng-2682	127	27	ratios	ratio	NOUN
fumecheng-2682	127	28	in	in	ADP
fumecheng-2682	127	29	the	the	DET
fumecheng-2682	127	30	range	range	NOUN
fumecheng-2682	127	31	of	of	ADP
fumecheng-2682	127	32	about	about	ADP
fumecheng-2682	127	33	l	l	NOUN
fumecheng-2682	127	34	/	/	SYM
fumecheng-2682	127	35	r	r	NOUN
fumecheng-2682	127	36	5	5	NOUN
fumecheng-2682	127	37	we	we	PRON
fumecheng-2682	127	38	can	can	AUX
fumecheng-2682	127	39	give	give	VERB
fumecheng-2682	127	40	the	the	DET
fumecheng-2682	127	41	following	follow	VERB
fumecheng-2682	127	42	approximation	approximation	NOUN
fumecheng-2682	127	43	:	:	PUNCT
fumecheng-2682	127	44	2	2	NUM
fumecheng-2682	127	45	(	(	PUNCT
fumecheng-2682	127	46	)	)	PUNCT
fumecheng-2682	127	47	0.4573	0.4573	NUM
fumecheng-2682	127	48	1	1	NUM
fumecheng-2682	127	49	exp	exp	NOUN
fumecheng-2682	127	50	,	,	PUNCT
fumecheng-2682	127	51	for	for	ADP
fumecheng-2682	127	52	5	5	NUM
fumecheng-2682	127	53	2	2	NUM
fumecheng-2682	127	54	2	2	NUM
fumecheng-2682	127	55	l	l	NOUN
fumecheng-2682	127	56	l	l	NOUN
fumecheng-2682	127	57	l	l	NOUN
fumecheng-2682	128	1	g	g	NOUN
fumecheng-2682	128	2	x	x	SYM
fumecheng-2682	128	3	l	l	NOUN
fumecheng-2682	128	4	r	r	NOUN
fumecheng-2682	128	5	r	r	NOUN
fumecheng-2682	128	6	x	x	X
fumecheng-2682	128	7	x	x	X
fumecheng-2682	128	8			PRON
fumecheng-2682	128	9			X
fumecheng-2682	128	10			PROPN
fumecheng-2682	128	11			NOUN
fumecheng-2682	128	12			PROPN
fumecheng-2682	128	13			PROPN
fumecheng-2682	128	14			ADV
fumecheng-2682	128	15			PROPN
fumecheng-2682	128	16			VERB
fumecheng-2682	129	1			PROPN
fumecheng-2682	129	2			PROPN
fumecheng-2682	129	3			PROPN
fumecheng-2682	130	1			ADJ
fumecheng-2682	130	2			PROPN
fumecheng-2682	130	3			PROPN
fumecheng-2682	130	4			NOUN
fumecheng-2682	130	5	,	,	PUNCT
fumecheng-2682	130	6	(	(	PUNCT
fumecheng-2682	130	7	11	11	NUM
fumecheng-2682	130	8	)	)	PUNCT
fumecheng-2682	130	9	a	a	PRON
fumecheng-2682	130	10	)	)	PUNCT
fumecheng-2682	130	11	b	b	NOUN
fumecheng-2682	130	12	)	)	PUNCT
fumecheng-2682	130	13	a	a	PRON
fumecheng-2682	130	14	)	)	PUNCT
fumecheng-2682	130	15	b	b	NOUN
fumecheng-2682	130	16	)	)	PUNCT
fumecheng-2682	130	17	normal	normal	ADJ
fumecheng-2682	130	18	line	line	NOUN
fumecheng-2682	130	19	contact	contact	NOUN
fumecheng-2682	130	20	of	of	ADP
fumecheng-2682	130	21	finite	finite	ADJ
fumecheng-2682	130	22	-	-	PUNCT
fumecheng-2682	130	23	length	length	NOUN
fumecheng-2682	130	24	cylinders	cylinder	NOUN
fumecheng-2682	130	25	69	69	NUM
fumecheng-2682	130	26	or	or	CCONJ
fumecheng-2682	130	27	in	in	ADP
fumecheng-2682	130	28	the	the	DET
fumecheng-2682	130	29	dimensionless	dimensionless	NOUN
fumecheng-2682	130	30	form	form	NOUN
fumecheng-2682	130	31	:	:	PUNCT
fumecheng-2682	130	32	(	(	PUNCT
fumecheng-2682	130	33	)	)	PUNCT
fumecheng-2682	130	34	0.4573	0.4573	NUM
fumecheng-2682	130	35	1	1	NUM
fumecheng-2682	130	36	exp	exp	NOUN
fumecheng-2682	130	37	,	,	PUNCT
fumecheng-2682	130	38	for	for	ADP
fumecheng-2682	130	39	5	5	NUM
fumecheng-2682	130	40	2	2	NUM
fumecheng-2682	130	41	2	2	NUM
fumecheng-2682	130	42	g	g	NOUN
fumecheng-2682	130	43	x	x	PUNCT
fumecheng-2682	130	44	l	l	NOUN
fumecheng-2682	130	45	r	r	NOUN
fumecheng-2682	130	46	x	x	PUNCT
fumecheng-2682	130	47	x	x	X
fumecheng-2682	130	48			PRON
fumecheng-2682	130	49			X
fumecheng-2682	130	50			PROPN
fumecheng-2682	130	51			NOUN
fumecheng-2682	130	52			PROPN
fumecheng-2682	130	53			PROPN
fumecheng-2682	130	54			ADV
fumecheng-2682	130	55			PROPN
fumecheng-2682	130	56			VERB
fumecheng-2682	131	1			PROPN
fumecheng-2682	131	2			PROPN
fumecheng-2682	131	3			PROPN
fumecheng-2682	132	1			PROPN
fumecheng-2682	132	2			PROPN
fumecheng-2682	132	3			PROPN
fumecheng-2682	132	4			NOUN
fumecheng-2682	132	5	.	.	PUNCT
fumecheng-2682	133	1	(	(	PUNCT
fumecheng-2682	133	2	12	12	NUM
fumecheng-2682	133	3	)	)	PUNCT
fumecheng-2682	133	4	numerical	numerical	ADJ
fumecheng-2682	133	5	results	result	NOUN
fumecheng-2682	133	6	and	and	CCONJ
fumecheng-2682	133	7	analytical	analytical	ADJ
fumecheng-2682	133	8	approximations	approximation	NOUN
fumecheng-2682	133	9	(	(	PUNCT
fumecheng-2682	133	10	11	11	NUM
fumecheng-2682	133	11	)	)	PUNCT
fumecheng-2682	133	12	and	and	CCONJ
fumecheng-2682	133	13	(	(	PUNCT
fumecheng-2682	133	14	12	12	NUM
fumecheng-2682	133	15	)	)	PUNCT
fumecheng-2682	133	16	in	in	ADP
fumecheng-2682	133	17	this	this	DET
fumecheng-2682	133	18	range	range	NOUN
fumecheng-2682	133	19	of	of	ADP
fumecheng-2682	133	20	l	l	NOUN
fumecheng-2682	133	21	/	/	SYM
fumecheng-2682	133	22	r	r	NOUN
fumecheng-2682	133	23	are	be	AUX
fumecheng-2682	133	24	shown	show	VERB
fumecheng-2682	133	25	in	in	ADP
fumecheng-2682	133	26	fig	fig	NOUN
fumecheng-2682	133	27	.	.	PUNCT
fumecheng-2682	134	1	5	5	NUM
fumecheng-2682	134	2	.	.	X
fumecheng-2682	134	3	fig	fig	NOUN
fumecheng-2682	134	4	.	.	PUNCT
fumecheng-2682	135	1	5	5	NUM
fumecheng-2682	135	2	1d	1d	NUM
fumecheng-2682	135	3	profile	profile	NOUN
fumecheng-2682	135	4	of	of	ADP
fumecheng-2682	135	5	cylinder	cylinder	NOUN
fumecheng-2682	135	6	for	for	ADP
fumecheng-2682	135	7	larger	large	ADJ
fumecheng-2682	135	8	ratios	ratio	NOUN
fumecheng-2682	135	9	of	of	ADP
fumecheng-2682	135	10	l	l	NOUN
fumecheng-2682	135	11	/	/	SYM
fumecheng-2682	135	12	r	r	NOUN
fumecheng-2682	135	13	:	:	PUNCT
fumecheng-2682	135	14	(	(	PUNCT
fumecheng-2682	135	15	a	a	NOUN
fumecheng-2682	135	16	)	)	PUNCT
fumecheng-2682	135	17	for	for	ADP
fumecheng-2682	135	18	different	different	ADJ
fumecheng-2682	135	19	l	l	NOUN
fumecheng-2682	135	20	/	/	SYM
fumecheng-2682	135	21	r	r	NOUN
fumecheng-2682	135	22	(	(	PUNCT
fumecheng-2682	135	23	b	b	NOUN
fumecheng-2682	135	24	)	)	PUNCT
fumecheng-2682	135	25	in	in	ADP
fumecheng-2682	135	26	dimensionless	dimensionless	NOUN
fumecheng-2682	135	27	form	form	NOUN
fumecheng-2682	135	28	(	(	PUNCT
fumecheng-2682	135	29	b	b	NOUN
fumecheng-2682	135	30	)	)	PUNCT
fumecheng-2682	135	31	small	small	ADJ
fumecheng-2682	135	32	ratio	ratio	NOUN
fumecheng-2682	135	33	of	of	ADP
fumecheng-2682	135	34	l	l	NOUN
fumecheng-2682	135	35	/	/	SYM
fumecheng-2682	135	36	r	r	NOUN
fumecheng-2682	135	37	(	(	PUNCT
fumecheng-2682	135	38	“	"	PUNCT
fumecheng-2682	135	39	short	short	ADJ
fumecheng-2682	135	40	cylinder	cylinder	NOUN
fumecheng-2682	135	41	”	"	PUNCT
fumecheng-2682	135	42	)	)	PUNCT
fumecheng-2682	135	43	in	in	ADP
fumecheng-2682	135	44	practical	practical	ADJ
fumecheng-2682	135	45	applications	application	NOUN
fumecheng-2682	135	46	,	,	PUNCT
fumecheng-2682	135	47	many	many	ADJ
fumecheng-2682	135	48	line	line	NOUN
fumecheng-2682	135	49	-	-	PUNCT
fumecheng-2682	135	50	contact	contact	NOUN
fumecheng-2682	135	51	machine	machine	NOUN
fumecheng-2682	135	52	elements	element	NOUN
fumecheng-2682	135	53	are	be	AUX
fumecheng-2682	135	54	thin	thin	ADJ
fumecheng-2682	135	55	plates	plate	NOUN
fumecheng-2682	135	56	meaning	mean	VERB
fumecheng-2682	135	57	a	a	DET
fumecheng-2682	135	58	small	small	ADJ
fumecheng-2682	135	59	value	value	NOUN
fumecheng-2682	135	60	of	of	ADP
fumecheng-2682	135	61	l	l	NOUN
fumecheng-2682	135	62	/	/	SYM
fumecheng-2682	135	63	r	r	NOUN
fumecheng-2682	135	64	,	,	PUNCT
fumecheng-2682	135	65	as	as	ADP
fumecheng-2682	135	66	e.g.	e.g.	ADV
fumecheng-2682	135	67	cams	cam	NOUN
fumecheng-2682	135	68	.	.	PUNCT
fumecheng-2682	136	1	the	the	DET
fumecheng-2682	136	2	results	result	NOUN
fumecheng-2682	136	3	of	of	ADP
fumecheng-2682	136	4	numerical	numerical	ADJ
fumecheng-2682	136	5	simulation	simulation	NOUN
fumecheng-2682	136	6	and	and	CCONJ
fumecheng-2682	136	7	fitting	fitting	ADJ
fumecheng-2682	136	8	for	for	ADP
fumecheng-2682	136	9	l	l	NOUN
fumecheng-2682	136	10	/	/	SYM
fumecheng-2682	136	11	r	r	NOUN
fumecheng-2682	136	12	=	=	NOUN
fumecheng-2682	136	13	0.1~4	0.1~4	NUM
fumecheng-2682	136	14	are	be	AUX
fumecheng-2682	136	15	clearly	clearly	ADV
fumecheng-2682	136	16	shown	show	VERB
fumecheng-2682	136	17	in	in	ADP
fumecheng-2682	136	18	fig	fig	NOUN
fumecheng-2682	136	19	.	.	PUNCT
fumecheng-2682	137	1	6	6	NUM
fumecheng-2682	137	2	.	.	NOUN
fumecheng-2682	137	3	coefficients	coefficient	NOUN
fumecheng-2682	137	4			PROPN
fumecheng-2682	137	5	and	and	CCONJ
fumecheng-2682	137	6			NOUN
fumecheng-2682	137	7	in	in	ADP
fumecheng-2682	137	8	this	this	DET
fumecheng-2682	137	9	range	range	NOUN
fumecheng-2682	137	10	are	be	AUX
fumecheng-2682	137	11	different	different	ADJ
fumecheng-2682	137	12	(	(	PUNCT
fumecheng-2682	137	13	fig	fig	NOUN
fumecheng-2682	137	14	.	.	PUNCT
fumecheng-2682	137	15	4	4	NUM
fumecheng-2682	137	16	)	)	PUNCT
fumecheng-2682	137	17	;	;	PUNCT
fumecheng-2682	137	18	however	however	ADV
fumecheng-2682	137	19	,	,	PUNCT
fumecheng-2682	137	20	from	from	ADP
fumecheng-2682	137	21	the	the	DET
fumecheng-2682	137	22	subplot	subplot	NOUN
fumecheng-2682	137	23	of	of	ADP
fumecheng-2682	137	24	fig	fig	NOUN
fumecheng-2682	137	25	.	.	PUNCT
fumecheng-2682	138	1	6b	6b	NOUN
fumecheng-2682	138	2	we	we	PRON
fumecheng-2682	138	3	can	can	AUX
fumecheng-2682	138	4	find	find	VERB
fumecheng-2682	138	5	that	that	SCONJ
fumecheng-2682	138	6	the	the	DET
fumecheng-2682	138	7	fittings	fitting	NOUN
fumecheng-2682	138	8	agree	agree	VERB
fumecheng-2682	138	9	with	with	ADP
fumecheng-2682	138	10	the	the	DET
fumecheng-2682	138	11	numerical	numerical	ADJ
fumecheng-2682	138	12	results	result	NOUN
fumecheng-2682	138	13	also	also	ADV
fumecheng-2682	138	14	well	well	ADV
fumecheng-2682	138	15	,	,	PUNCT
fumecheng-2682	138	16	except	except	SCONJ
fumecheng-2682	138	17	for	for	ADP
fumecheng-2682	138	18	very	very	ADV
fumecheng-2682	138	19	small	small	ADJ
fumecheng-2682	138	20	l	l	NOUN
fumecheng-2682	138	21	/	/	SYM
fumecheng-2682	138	22	r	r	NOUN
fumecheng-2682	138	23	(=	(=	NOUN
fumecheng-2682	138	24	0.1	0.1	NUM
fumecheng-2682	138	25	or	or	CCONJ
fumecheng-2682	138	26	0.2	0.2	NUM
fumecheng-2682	138	27	)	)	PUNCT
fumecheng-2682	138	28	(	(	PUNCT
fumecheng-2682	138	29	subplot	subplot	NOUN
fumecheng-2682	138	30	in	in	ADP
fumecheng-2682	138	31	fig	fig	NOUN
fumecheng-2682	138	32	.	.	PUNCT
fumecheng-2682	139	1	6b	6b	NUM
fumecheng-2682	139	2	)	)	PUNCT
fumecheng-2682	140	1	,	,	PUNCT
fumecheng-2682	140	2	so	so	SCONJ
fumecheng-2682	140	3	we	we	PRON
fumecheng-2682	140	4	list	list	VERB
fumecheng-2682	140	5	their	their	PRON
fumecheng-2682	140	6	values	value	NOUN
fumecheng-2682	140	7	in	in	ADP
fumecheng-2682	140	8	tab	tab	NOUN
fumecheng-2682	140	9	.	.	PUNCT
fumecheng-2682	140	10	1	1	NUM
fumecheng-2682	140	11	for	for	ADP
fumecheng-2682	140	12	the	the	DET
fumecheng-2682	140	13	further	further	ADJ
fumecheng-2682	140	14	studies	study	NOUN
fumecheng-2682	140	15	.	.	PUNCT
fumecheng-2682	141	1	fig	fig	NOUN
fumecheng-2682	141	2	.	.	PUNCT
fumecheng-2682	142	1	6	6	NUM
fumecheng-2682	142	2	1d	1d	NUM
fumecheng-2682	142	3	profile	profile	NOUN
fumecheng-2682	142	4	of	of	ADP
fumecheng-2682	142	5	cylinder	cylinder	NOUN
fumecheng-2682	142	6	for	for	ADP
fumecheng-2682	142	7	small	small	ADJ
fumecheng-2682	142	8	ratios	ratio	NOUN
fumecheng-2682	142	9	of	of	ADP
fumecheng-2682	142	10	l	l	NOUN
fumecheng-2682	142	11	/	/	SYM
fumecheng-2682	142	12	r	r	NOUN
fumecheng-2682	142	13	:	:	PUNCT
fumecheng-2682	142	14	(	(	PUNCT
fumecheng-2682	142	15	a	a	NOUN
fumecheng-2682	142	16	)	)	PUNCT
fumecheng-2682	142	17	for	for	ADP
fumecheng-2682	142	18	different	different	ADJ
fumecheng-2682	142	19	l	l	NOUN
fumecheng-2682	142	20	/	/	SYM
fumecheng-2682	142	21	r	r	NOUN
fumecheng-2682	142	22	(	(	PUNCT
fumecheng-2682	142	23	b	b	NOUN
fumecheng-2682	142	24	)	)	PUNCT
fumecheng-2682	142	25	in	in	ADP
fumecheng-2682	142	26	dimensionless	dimensionless	NOUN
fumecheng-2682	142	27	form	form	NOUN
fumecheng-2682	142	28	a	a	PRON
fumecheng-2682	142	29	)	)	PUNCT
fumecheng-2682	142	30	b	b	NOUN
fumecheng-2682	142	31	)	)	PUNCT
fumecheng-2682	142	32	a	a	DET
fumecheng-2682	142	33	)	)	PUNCT
fumecheng-2682	142	34	b	b	NOUN
fumecheng-2682	142	35	)	)	PUNCT
fumecheng-2682	142	36	70	70	NUM
fumecheng-2682	142	37	q.	q.	PROPN
fumecheng-2682	142	38	li	li	PROPN
fumecheng-2682	142	39	,	,	PUNCT
fumecheng-2682	142	40	v.l	v.l	PROPN
fumecheng-2682	142	41	.	.	PROPN
fumecheng-2682	142	42	popov	popov	PROPN
fumecheng-2682	142	43	table	table	NOUN
fumecheng-2682	142	44	1	1	NUM
fumecheng-2682	142	45	values	value	NOUN
fumecheng-2682	142	46	of	of	ADP
fumecheng-2682	142	47	coefficients	coefficient	NOUN
fumecheng-2682	142	48	α	α	PROPN
fumecheng-2682	142	49	and	and	CCONJ
fumecheng-2682	142	50	β	β	PROPN
fumecheng-2682	142	51	for	for	ADP
fumecheng-2682	142	52	small	small	ADJ
fumecheng-2682	142	53	l	l	NOUN
fumecheng-2682	142	54	/	/	SYM
fumecheng-2682	142	55	r	r	NOUN
fumecheng-2682	142	56	l	l	NOUN
fumecheng-2682	142	57	/	/	SYM
fumecheng-2682	142	58	r	r	NOUN
fumecheng-2682	142	59	α	α	NOUN
fumecheng-2682	142	60	β	β	X
fumecheng-2682	142	61	l	l	NOUN
fumecheng-2682	142	62	/	/	SYM
fumecheng-2682	142	63	r	r	NOUN
fumecheng-2682	142	64	α	α	NOUN
fumecheng-2682	142	65	β	β	X
fumecheng-2682	142	66	l	l	NOUN
fumecheng-2682	142	67	/	/	SYM
fumecheng-2682	142	68	r	r	NOUN
fumecheng-2682	142	69	α	α	NOUN
fumecheng-2682	142	70	β	β	NOUN
fumecheng-2682	142	71	0.1	0.1	NUM
fumecheng-2682	142	72	3.8695	3.8695	NUM
fumecheng-2682	142	73	17.1183	17.1183	NUM
fumecheng-2682	142	74	0.6	0.6	NUM
fumecheng-2682	142	75	2.0528	2.0528	NUM
fumecheng-2682	142	76	1.9139	1.9139	NUM
fumecheng-2682	142	77	2	2	NUM
fumecheng-2682	142	78	1.7086	1.7086	NUM
fumecheng-2682	142	79	0.7936	0.7936	NUM
fumecheng-2682	142	80	0.2	0.2	NUM
fumecheng-2682	142	81	2.8664	2.8664	NUM
fumecheng-2682	142	82	6.6132	6.6132	NUM
fumecheng-2682	142	83	0.7	0.7	NUM
fumecheng-2682	142	84	1.9928	1.9928	NUM
fumecheng-2682	142	85	1.6847	1.6847	NUM
fumecheng-2682	142	86	3	3	NUM
fumecheng-2682	142	87	1.6518	1.6518	NUM
fumecheng-2682	142	88	0.6495	0.6495	NUM
fumecheng-2682	142	89	0.3	0.3	NUM
fumecheng-2682	142	90	2.4734	2.4734	NUM
fumecheng-2682	142	91	3.9560	3.9560	NUM
fumecheng-2682	142	92	0.8	0.8	NUM
fumecheng-2682	142	93	1.9400	1.9400	NUM
fumecheng-2682	142	94	1.4963	1.4963	NUM
fumecheng-2682	142	95	4	4	NUM
fumecheng-2682	142	96	1.6231	1.6231	NUM
fumecheng-2682	142	97	0.5799	0.5799	NUM
fumecheng-2682	142	98	0.4	0.4	NUM
fumecheng-2682	142	99	2.2714	2.2714	NUM
fumecheng-2682	142	100	2.8770	2.8770	NUM
fumecheng-2682	142	101	0.9	0.9	NUM
fumecheng-2682	142	102	1.8996	1.8996	NUM
fumecheng-2682	142	103	1.3589	1.3589	NUM
fumecheng-2682	142	104	5	5	NUM
fumecheng-2682	142	105	1.6048	1.6048	NUM
fumecheng-2682	142	106	0.5376	0.5376	NUM
fumecheng-2682	142	107	0.5	0.5	NUM
fumecheng-2682	142	108	2.1455	2.1455	NUM
fumecheng-2682	142	109	2.2975	2.2975	NUM
fumecheng-2682	142	110	1	1	NUM
fumecheng-2682	142	111	1.8668	1.8668	NUM
fumecheng-2682	142	112	1.2517	1.2517	NUM
fumecheng-2682	142	113	6	6	NUM
fumecheng-2682	142	114	1.5930	1.5930	NUM
fumecheng-2682	142	115	0.5091	0.5091	NUM
fumecheng-2682	142	116	finally	finally	ADV
fumecheng-2682	142	117	,	,	PUNCT
fumecheng-2682	142	118	let	let	VERB
fumecheng-2682	142	119	us	we	PRON
fumecheng-2682	142	120	compare	compare	VERB
fumecheng-2682	142	121	our	our	PRON
fumecheng-2682	142	122	results	result	NOUN
fumecheng-2682	142	123	with	with	ADP
fumecheng-2682	142	124	those	those	PRON
fumecheng-2682	142	125	following	follow	VERB
fumecheng-2682	142	126	from	from	ADP
fumecheng-2682	142	127	eq	eq	ADP
fumecheng-2682	142	128	.	.	PUNCT
fumecheng-2682	143	1	(	(	PUNCT
fumecheng-2682	143	2	2	2	NUM
fumecheng-2682	143	3	)	)	PUNCT
fumecheng-2682	143	4	.	.	PUNCT
fumecheng-2682	144	1	differentiation	differentiation	NOUN
fumecheng-2682	144	2	of	of	ADP
fumecheng-2682	144	3	the	the	DET
fumecheng-2682	144	4	force	force	NOUN
fumecheng-2682	144	5	with	with	ADP
fumecheng-2682	144	6	respect	respect	NOUN
fumecheng-2682	144	7	to	to	ADP
fumecheng-2682	144	8	the	the	DET
fumecheng-2682	144	9	indentation	indentation	NOUN
fumecheng-2682	144	10	depth	depth	NOUN
fumecheng-2682	144	11	provides	provide	VERB
fumecheng-2682	144	12	the	the	DET
fumecheng-2682	144	13	normal	normal	ADJ
fumecheng-2682	144	14	contact	contact	NOUN
fumecheng-2682	144	15	stiffness	stiffness	NOUN
fumecheng-2682	144	16	:	:	PUNCT
fumecheng-2682	145	1	*	*	PUNCT
fumecheng-2682	145	2	*	*	PUNCT
fumecheng-2682	145	3	3	3	NUM
fumecheng-2682	145	4	lnn	lnn	NOUN
fumecheng-2682	145	5	rf	rf	VERB
fumecheng-2682	145	6	k	k	PROPN
fumecheng-2682	145	7	le	le	X
fumecheng-2682	145	8	e	e	X
fumecheng-2682	146	1	l	l	X
fumecheng-2682	147	1			PROPN
fumecheng-2682	147	2			PROPN
fumecheng-2682	147	3			NOUN
fumecheng-2682	147	4	.	.	PUNCT
fumecheng-2682	148	1	(	(	PUNCT
fumecheng-2682	148	2	13	13	NUM
fumecheng-2682	148	3	)	)	PUNCT
fumecheng-2682	148	4	together	together	ADV
fumecheng-2682	148	5	with	with	ADP
fumecheng-2682	148	6	relation	relation	NOUN
fumecheng-2682	148	7	(	(	PUNCT
fumecheng-2682	148	8	2	2	X
fumecheng-2682	148	9	)	)	PUNCT
fumecheng-2682	148	10	we	we	PRON
fumecheng-2682	148	11	can	can	AUX
fumecheng-2682	148	12	obtain	obtain	VERB
fumecheng-2682	148	13	1d	1d	NUM
fumecheng-2682	148	14	profile	profile	NOUN
fumecheng-2682	148	15	g(x	g(x	NOUN
fumecheng-2682	148	16	)	)	PUNCT
fumecheng-2682	148	17	,	,	PUNCT
fumecheng-2682	148	18	which	which	PRON
fumecheng-2682	148	19	has	have	VERB
fumecheng-2682	148	20	also	also	ADV
fumecheng-2682	148	21	a	a	DET
fumecheng-2682	148	22	dimensionless	dimensionless	NOUN
fumecheng-2682	148	23	form	form	NOUN
fumecheng-2682	148	24	similar	similar	ADJ
fumecheng-2682	148	25	to	to	ADP
fumecheng-2682	148	26	eq	eq	PROPN
fumecheng-2682	148	27	.	.	PUNCT
fumecheng-2682	149	1	(	(	PUNCT
fumecheng-2682	149	2	12	12	NUM
fumecheng-2682	149	3	)	)	PUNCT
fumecheng-2682	149	4	.	.	PUNCT
fumecheng-2682	150	1	this	this	DET
fumecheng-2682	150	2	dimensionless	dimensionless	NOUN
fumecheng-2682	150	3	form	form	NOUN
fumecheng-2682	150	4	is	be	AUX
fumecheng-2682	150	5	shown	show	VERB
fumecheng-2682	150	6	with	with	ADP
fumecheng-2682	150	7	a	a	DET
fumecheng-2682	150	8	dashed	dash	VERB
fumecheng-2682	150	9	line	line	NOUN
fumecheng-2682	150	10	in	in	ADP
fumecheng-2682	150	11	fig	fig	NOUN
fumecheng-2682	150	12	.	.	PUNCT
fumecheng-2682	151	1	7	7	X
fumecheng-2682	151	2	.	.	X
fumecheng-2682	151	3	one	one	PRON
fumecheng-2682	151	4	can	can	AUX
fumecheng-2682	151	5	see	see	VERB
fumecheng-2682	151	6	that	that	SCONJ
fumecheng-2682	151	7	it	it	PRON
fumecheng-2682	151	8	differs	differ	VERB
fumecheng-2682	151	9	substantially	substantially	ADV
fumecheng-2682	151	10	from	from	ADP
fumecheng-2682	151	11	the	the	DET
fumecheng-2682	151	12	“	"	PUNCT
fumecheng-2682	151	13	numerically	numerically	ADV
fumecheng-2682	151	14	exact	exact	ADJ
fumecheng-2682	151	15	”	"	PUNCT
fumecheng-2682	151	16	result	result	NOUN
fumecheng-2682	151	17	found	find	VERB
fumecheng-2682	151	18	in	in	ADP
fumecheng-2682	151	19	the	the	DET
fumecheng-2682	151	20	present	present	ADJ
fumecheng-2682	151	21	paper	paper	NOUN
fumecheng-2682	151	22	and	and	CCONJ
fumecheng-2682	151	23	plotted	plot	VERB
fumecheng-2682	151	24	in	in	ADP
fumecheng-2682	151	25	fig	fig	NOUN
fumecheng-2682	151	26	.	.	PUNCT
fumecheng-2682	152	1	7	7	NUM
fumecheng-2682	152	2	with	with	ADP
fumecheng-2682	152	3	a	a	DET
fumecheng-2682	152	4	bold	bold	ADJ
fumecheng-2682	152	5	line	line	NOUN
fumecheng-2682	152	6	.	.	PUNCT
fumecheng-2682	153	1	fig	fig	NOUN
fumecheng-2682	153	2	.	.	PUNCT
fumecheng-2682	154	1	7	7	NUM
fumecheng-2682	154	2	comparison	comparison	NOUN
fumecheng-2682	154	3	of	of	ADP
fumecheng-2682	154	4	1d	1d	NUM
fumecheng-2682	154	5	profile	profile	NOUN
fumecheng-2682	154	6	obtained	obtain	VERB
fumecheng-2682	154	7	from	from	ADP
fumecheng-2682	154	8	existing	exist	VERB
fumecheng-2682	154	9	solution	solution	NOUN
fumecheng-2682	154	10	and	and	CCONJ
fumecheng-2682	154	11	in	in	ADP
fumecheng-2682	154	12	this	this	DET
fumecheng-2682	154	13	paper	paper	NOUN
fumecheng-2682	154	14	4	4	NUM
fumecheng-2682	154	15	.	.	PUNCT
fumecheng-2682	155	1	conclusion	conclusion	NOUN
fumecheng-2682	155	2	we	we	PRON
fumecheng-2682	155	3	have	have	VERB
fumecheng-2682	155	4	numerically	numerically	ADV
fumecheng-2682	155	5	simulated	simulate	VERB
fumecheng-2682	155	6	indentation	indentation	NOUN
fumecheng-2682	155	7	of	of	ADP
fumecheng-2682	155	8	the	the	DET
fumecheng-2682	155	9	finite	finite	ADJ
fumecheng-2682	155	10	-	-	PUNCT
fumecheng-2682	155	11	length	length	NOUN
fumecheng-2682	155	12	cylinder	cylinder	NOUN
fumecheng-2682	155	13	lying	lie	VERB
fumecheng-2682	155	14	on	on	ADP
fumecheng-2682	155	15	an	an	DET
fumecheng-2682	155	16	elastic	elastic	ADJ
fumecheng-2682	155	17	half	half	NOUN
fumecheng-2682	155	18	space	space	NOUN
fumecheng-2682	155	19	.	.	PUNCT
fumecheng-2682	156	1	the	the	DET
fumecheng-2682	156	2	ratio	ratio	NOUN
fumecheng-2682	156	3	of	of	ADP
fumecheng-2682	156	4	the	the	DET
fumecheng-2682	156	5	cylinder	cylinder	NOUN
fumecheng-2682	156	6	’s	’s	PART
fumecheng-2682	156	7	length	length	NOUN
fumecheng-2682	156	8	and	and	CCONJ
fumecheng-2682	156	9	radius	radius	NOUN
fumecheng-2682	156	10	was	be	AUX
fumecheng-2682	156	11	varied	varied	ADJ
fumecheng-2682	156	12	in	in	ADP
fumecheng-2682	156	13	a	a	DET
fumecheng-2682	156	14	wide	wide	ADJ
fumecheng-2682	156	15	range	range	NOUN
fumecheng-2682	156	16	from	from	ADP
fumecheng-2682	156	17	a	a	DET
fumecheng-2682	156	18	thin	thin	ADJ
fumecheng-2682	156	19	disk	disk	NOUN
fumecheng-2682	156	20	(	(	PUNCT
fumecheng-2682	156	21	ratio	ratio	NOUN
fumecheng-2682	156	22	0.1	0.1	NUM
fumecheng-2682	156	23	)	)	PUNCT
fumecheng-2682	156	24	to	to	ADP
fumecheng-2682	156	25	a	a	DET
fumecheng-2682	156	26	long	long	ADJ
fumecheng-2682	156	27	pole	pole	NOUN
fumecheng-2682	156	28	(	(	PUNCT
fumecheng-2682	156	29	ratio	ratio	NOUN
fumecheng-2682	156	30	20	20	NUM
fumecheng-2682	156	31	)	)	PUNCT
fumecheng-2682	156	32	.	.	PUNCT
fumecheng-2682	157	1	based	base	VERB
fumecheng-2682	157	2	on	on	ADP
fumecheng-2682	157	3	the	the	DET
fumecheng-2682	157	4	results	result	NOUN
fumecheng-2682	157	5	of	of	ADP
fumecheng-2682	157	6	numerical	numerical	ADJ
fumecheng-2682	157	7	simulation	simulation	PROPN
fumecheng-2682	157	8	,	,	PUNCT
fumecheng-2682	157	9	the	the	DET
fumecheng-2682	157	10	equivalent	equivalent	ADJ
fumecheng-2682	157	11	mdr	mdr	PROPN
fumecheng-2682	157	12	-	-	NOUN
fumecheng-2682	157	13	profiles	profile	NOUN
fumecheng-2682	157	14	containing	contain	VERB
fumecheng-2682	157	15	the	the	DET
fumecheng-2682	157	16	whole	whole	ADJ
fumecheng-2682	157	17	information	information	NOUN
fumecheng-2682	157	18	about	about	ADP
fumecheng-2682	157	19	the	the	DET
fumecheng-2682	157	20	contact	contact	NOUN
fumecheng-2682	157	21	problem	problem	NOUN
fumecheng-2682	157	22	was	be	AUX
fumecheng-2682	157	23	“	"	PUNCT
fumecheng-2682	157	24	extracted	extract	VERB
fumecheng-2682	157	25	”	"	PUNCT
fumecheng-2682	157	26	and	and	CCONJ
fumecheng-2682	157	27	subsequently	subsequently	ADV
fumecheng-2682	157	28	approximated	approximate	VERB
fumecheng-2682	157	29	analytically	analytically	ADV
fumecheng-2682	157	30	using	use	VERB
fumecheng-2682	157	31	an	an	DET
fumecheng-2682	157	32	equation	equation	NOUN
fumecheng-2682	157	33	inspired	inspire	VERB
fumecheng-2682	157	34	by	by	ADP
fumecheng-2682	157	35	an	an	DET
fumecheng-2682	157	36	asymptotic	asymptotic	ADJ
fumecheng-2682	157	37	solution	solution	NOUN
fumecheng-2682	157	38	of	of	ADP
fumecheng-2682	157	39	the	the	DET
fumecheng-2682	157	40	contact	contact	NOUN
fumecheng-2682	157	41	problem	problem	NOUN
fumecheng-2682	157	42	.	.	PUNCT
fumecheng-2682	158	1	for	for	ADP
fumecheng-2682	158	2	large	large	ADJ
fumecheng-2682	158	3	length	length	NOUN
fumecheng-2682	158	4	-	-	PUNCT
fumecheng-2682	158	5	to	to	ADP
fumecheng-2682	158	6	-	-	PUNCT
fumecheng-2682	158	7	radius	radius	NOUN
fumecheng-2682	158	8	ratios	ratio	NOUN
fumecheng-2682	158	9	(	(	PUNCT
fumecheng-2682	158	10	larger	large	ADJ
fumecheng-2682	158	11	than	than	ADP
fumecheng-2682	158	12	about	about	ADP
fumecheng-2682	158	13	5	5	NUM
fumecheng-2682	158	14	)	)	PUNCT
fumecheng-2682	158	15	,	,	PUNCT
fumecheng-2682	158	16	the	the	DET
fumecheng-2682	158	17	fitting	fitting	ADJ
fumecheng-2682	158	18	coefficients	coefficient	NOUN
fumecheng-2682	158	19	are	be	AUX
fumecheng-2682	158	20	almost	almost	ADV
fumecheng-2682	158	21	constant	constant	ADJ
fumecheng-2682	158	22	and	and	CCONJ
fumecheng-2682	158	23	a	a	DET
fumecheng-2682	158	24	general	general	ADJ
fumecheng-2682	158	25	form	form	NOUN
fumecheng-2682	158	26	with	with	ADP
fumecheng-2682	158	27	high	high	ADJ
fumecheng-2682	158	28	accuracy	accuracy	NOUN
fumecheng-2682	158	29	is	be	AUX
fumecheng-2682	158	30	provided	provide	VERB
fumecheng-2682	158	31	in	in	ADP
fumecheng-2682	158	32	a	a	DET
fumecheng-2682	158	33	closed	closed	ADJ
fumecheng-2682	158	34	analytical	analytical	ADJ
fumecheng-2682	158	35	form	form	NOUN
fumecheng-2682	158	36	.	.	PUNCT
fumecheng-2682	159	1	for	for	ADP
fumecheng-2682	159	2	small	small	ADJ
fumecheng-2682	159	3	length	length	NOUN
fumecheng-2682	159	4	-	-	PUNCT
fumecheng-2682	159	5	to	to	ADP
fumecheng-2682	159	6	-	-	PUNCT
fumecheng-2682	159	7	radius	radius	NOUN
fumecheng-2682	159	8	ratios	ratio	NOUN
fumecheng-2682	159	9	,	,	PUNCT
fumecheng-2682	159	10	analytical	analytical	ADJ
fumecheng-2682	159	11	solution	solution	NOUN
fumecheng-2682	159	12	is	be	AUX
fumecheng-2682	159	13	provided	provide	VERB
fumecheng-2682	159	14	which	which	PRON
fumecheng-2682	159	15	contains	contain	VERB
fumecheng-2682	159	16	two	two	NUM
fumecheng-2682	159	17	constants	constant	NOUN
fumecheng-2682	159	18	provided	provide	VERB
fumecheng-2682	159	19	in	in	ADP
fumecheng-2682	159	20	the	the	DET
fumecheng-2682	159	21	form	form	NOUN
fumecheng-2682	159	22	of	of	ADP
fumecheng-2682	159	23	a	a	DET
fumecheng-2682	159	24	table	table	NOUN
fumecheng-2682	159	25	.	.	PUNCT
fumecheng-2682	160	1	comparison	comparison	NOUN
fumecheng-2682	160	2	of	of	ADP
fumecheng-2682	160	3	the	the	DET
fumecheng-2682	160	4	present	present	ADJ
fumecheng-2682	160	5	solution	solution	NOUN
fumecheng-2682	160	6	with	with	ADP
fumecheng-2682	160	7	the	the	DET
fumecheng-2682	160	8	already	already	ADV
fumecheng-2682	160	9	available	available	ADJ
fumecheng-2682	160	10	analytical	analytical	ADJ
fumecheng-2682	160	11	approximation	approximation	NOUN
fumecheng-2682	160	12	shows	show	VERB
fumecheng-2682	160	13	that	that	SCONJ
fumecheng-2682	160	14	the	the	DET
fumecheng-2682	160	15	present	present	ADJ
fumecheng-2682	160	16	solution	solution	NOUN
fumecheng-2682	160	17	is	be	AUX
fumecheng-2682	160	18	much	much	ADV
fumecheng-2682	160	19	more	more	ADV
fumecheng-2682	160	20	precise	precise	ADJ
fumecheng-2682	160	21	.	.	PUNCT
fumecheng-2682	161	1	normal	normal	ADJ
fumecheng-2682	161	2	line	line	NOUN
fumecheng-2682	161	3	contact	contact	NOUN
fumecheng-2682	161	4	of	of	ADP
fumecheng-2682	161	5	finite	finite	ADJ
fumecheng-2682	161	6	-	-	PUNCT
fumecheng-2682	161	7	length	length	NOUN
fumecheng-2682	161	8	cylinders	cylinder	NOUN
fumecheng-2682	161	9	71	71	NUM
fumecheng-2682	161	10	references	reference	NOUN
fumecheng-2682	161	11	1	1	NUM
fumecheng-2682	161	12	.	.	PUNCT
fumecheng-2682	162	1	harris	harris	PROPN
fumecheng-2682	162	2	,	,	PUNCT
fumecheng-2682	162	3	t.a	t.a	PROPN
fumecheng-2682	162	4	.	.	PROPN
fumecheng-2682	162	5	,	,	PUNCT
fumecheng-2682	162	6	2001	2001	NUM
fumecheng-2682	162	7	,	,	PUNCT
fumecheng-2682	162	8	rolling	rolling	ADJ
fumecheng-2682	162	9	bearing	bearing	NOUN
fumecheng-2682	162	10	analysis	analysis	NOUN
fumecheng-2682	162	11	,	,	PUNCT
fumecheng-2682	162	12	john	john	PROPN
fumecheng-2682	162	13	wiley	wiley	PROPN
fumecheng-2682	162	14	and	and	CCONJ
fumecheng-2682	162	15	sons	son	NOUN
fumecheng-2682	162	16	,	,	PUNCT
fumecheng-2682	162	17	new	new	PROPN
fumecheng-2682	162	18	york	york	PROPN
fumecheng-2682	162	19	.	.	PUNCT
fumecheng-2682	163	1	2	2	X
fumecheng-2682	163	2	.	.	X
fumecheng-2682	163	3	norton	norton	PROPN
fumecheng-2682	163	4	,	,	PUNCT
fumecheng-2682	163	5	r.	r.	PROPN
fumecheng-2682	163	6	,	,	PUNCT
fumecheng-2682	163	7	2009	2009	NUM
fumecheng-2682	163	8	,	,	PUNCT
fumecheng-2682	163	9	cam	cam	NOUN
fumecheng-2682	163	10	design	design	NOUN
fumecheng-2682	163	11	and	and	CCONJ
fumecheng-2682	163	12	manufacturing	manufacturing	NOUN
fumecheng-2682	163	13	handbook	handbook	NOUN
fumecheng-2682	163	14	,	,	PUNCT
fumecheng-2682	163	15	industrial	industrial	ADJ
fumecheng-2682	163	16	press	press	NOUN
fumecheng-2682	163	17	.	.	PUNCT
fumecheng-2682	164	1	3	3	X
fumecheng-2682	164	2	.	.	X
fumecheng-2682	164	3	popov	popov	PROPN
fumecheng-2682	164	4	,	,	PUNCT
fumecheng-2682	164	5	v.l	v.l	PROPN
fumecheng-2682	164	6	.	.	PROPN
fumecheng-2682	164	7	,	,	PUNCT
fumecheng-2682	164	8	2010	2010	NUM
fumecheng-2682	164	9	,	,	PUNCT
fumecheng-2682	164	10	contact	contact	NOUN
fumecheng-2682	164	11	mechanics	mechanic	NOUN
fumecheng-2682	164	12	and	and	CCONJ
fumecheng-2682	164	13	friction	friction	NOUN
fumecheng-2682	164	14	:	:	PUNCT
fumecheng-2682	164	15	physical	physical	ADJ
fumecheng-2682	164	16	principles	principle	NOUN
fumecheng-2682	164	17	and	and	CCONJ
fumecheng-2682	164	18	applications	application	NOUN
fumecheng-2682	164	19	,	,	PUNCT
fumecheng-2682	164	20	springer	springer	NOUN
fumecheng-2682	164	21	,	,	PUNCT
fumecheng-2682	164	22	berlin	berlin	PROPN
fumecheng-2682	164	23	.	.	PUNCT
fumecheng-2682	165	1	4	4	X
fumecheng-2682	165	2	.	.	X
fumecheng-2682	165	3	jonson	jonson	PROPN
fumecheng-2682	165	4	,	,	PUNCT
fumecheng-2682	165	5	k.l	k.l	PROPN
fumecheng-2682	165	6	.	.	PROPN
fumecheng-2682	165	7	,	,	PUNCT
fumecheng-2682	165	8	1985	1985	NUM
fumecheng-2682	165	9	,	,	PUNCT
fumecheng-2682	165	10	contact	contact	NOUN
fumecheng-2682	165	11	mechanics	mechanic	NOUN
fumecheng-2682	165	12	,	,	PUNCT
fumecheng-2682	165	13	cambridge	cambridge	PROPN
fumecheng-2682	165	14	university	university	PROPN
fumecheng-2682	165	15	press	press	PROPN
fumecheng-2682	165	16	,	,	PUNCT
fumecheng-2682	165	17	cambridge	cambridge	PROPN
fumecheng-2682	165	18	.	.	PROPN
fumecheng-2682	166	1	5	5	NUM
fumecheng-2682	166	2	.	.	X
fumecheng-2682	166	3	landau	landau	NOUN
fumecheng-2682	166	4	,	,	PUNCT
fumecheng-2682	166	5	l.d	l.d	PROPN
fumecheng-2682	166	6	.	.	PROPN
fumecheng-2682	166	7	,	,	PUNCT
fumecheng-2682	166	8	lifshitz	lifshitz	PROPN
fumecheng-2682	166	9	,	,	PUNCT
fumecheng-2682	166	10	e.m	e.m	PROPN
fumecheng-2682	166	11	.	.	PROPN
fumecheng-2682	166	12	,	,	PUNCT
fumecheng-2682	166	13	1970	1970	NUM
fumecheng-2682	166	14	,	,	PUNCT
fumecheng-2682	166	15	theory	theory	NOUN
fumecheng-2682	166	16	of	of	ADP
fumecheng-2682	166	17	elasticity	elasticity	NOUN
fumecheng-2682	166	18	,	,	PUNCT
fumecheng-2682	166	19	course	course	NOUN
fumecheng-2682	166	20	of	of	ADP
fumecheng-2682	166	21	theoretical	theoretical	ADJ
fumecheng-2682	166	22	physics	physics	NOUN
fumecheng-2682	166	23	.	.	PUNCT
fumecheng-2682	167	1	6	6	NUM
fumecheng-2682	167	2	.	.	X
fumecheng-2682	167	3	venner	venner	NOUN
fumecheng-2682	167	4	,	,	PUNCT
fumecheng-2682	167	5	c.h	c.h	PROPN
fumecheng-2682	167	6	.	.	PROPN
fumecheng-2682	167	7	,	,	PUNCT
fumecheng-2682	167	8	lubrecht	lubrecht	PROPN
fumecheng-2682	167	9	,	,	PUNCT
fumecheng-2682	167	10	a.a	a.a	PROPN
fumecheng-2682	167	11	.	.	PROPN
fumecheng-2682	167	12	,	,	PUNCT
fumecheng-2682	167	13	1994	1994	NUM
fumecheng-2682	167	14	,	,	PUNCT
fumecheng-2682	167	15	transient	transient	VERB
fumecheng-2682	167	16	analysis	analysis	NOUN
fumecheng-2682	167	17	of	of	ADP
fumecheng-2682	167	18	surface	surface	NOUN
fumecheng-2682	167	19	features	feature	NOUN
fumecheng-2682	167	20	in	in	ADP
fumecheng-2682	167	21	an	an	DET
fumecheng-2682	167	22	ehl	ehl	NOUN
fumecheng-2682	167	23	line	line	NOUN
fumecheng-2682	167	24	contact	contact	NOUN
fumecheng-2682	167	25	in	in	ADP
fumecheng-2682	167	26	the	the	DET
fumecheng-2682	167	27	case	case	NOUN
fumecheng-2682	167	28	of	of	ADP
fumecheng-2682	167	29	sliding	slide	VERB
fumecheng-2682	167	30	,	,	PUNCT
fumecheng-2682	167	31	journal	journal	NOUN
fumecheng-2682	167	32	of	of	ADP
fumecheng-2682	167	33	tribology	tribology	PROPN
fumecheng-2682	167	34	,	,	PUNCT
fumecheng-2682	167	35	116(2	116(2	NUM
fumecheng-2682	167	36	)	)	PUNCT
fumecheng-2682	167	37	,	,	PUNCT
fumecheng-2682	167	38	pp	pp	ADP
fumecheng-2682	167	39	.	.	PUNCT
fumecheng-2682	168	1	186–193	186–193	NUM
fumecheng-2682	168	2	.	.	NOUN
fumecheng-2682	168	3	7	7	X
fumecheng-2682	168	4	.	.	X
fumecheng-2682	168	5	hamrock	hamrock	PROPN
fumecheng-2682	168	6	,	,	PUNCT
fumecheng-2682	168	7	b.j	b.j	PROPN
fumecheng-2682	168	8	.	.	PROPN
fumecheng-2682	168	9	,	,	PUNCT
fumecheng-2682	168	10	schmid	schmid	PROPN
fumecheng-2682	168	11	,	,	PUNCT
fumecheng-2682	168	12	s.r	s.r	PROPN
fumecheng-2682	168	13	.	.	PROPN
fumecheng-2682	168	14	,	,	PUNCT
fumecheng-2682	168	15	jacobson	jacobson	PROPN
fumecheng-2682	168	16	,	,	PUNCT
fumecheng-2682	168	17	b.o	b.o	PROPN
fumecheng-2682	168	18	.	.	PROPN
fumecheng-2682	168	19	,	,	PUNCT
fumecheng-2682	168	20	2004	2004	NUM
fumecheng-2682	168	21	,	,	PUNCT
fumecheng-2682	168	22	fundamentals	fundamental	NOUN
fumecheng-2682	168	23	of	of	ADP
fumecheng-2682	168	24	fluid	fluid	ADJ
fumecheng-2682	168	25	film	film	NOUN
fumecheng-2682	168	26	lubrication	lubrication	NOUN
fumecheng-2682	168	27	,	,	PUNCT
fumecheng-2682	168	28	marcel	marcel	PROPN
fumecheng-2682	168	29	dekker	dekker	PROPN
fumecheng-2682	168	30	,	,	PUNCT
fumecheng-2682	168	31	new	new	PROPN
fumecheng-2682	168	32	york	york	PROPN
fumecheng-2682	168	33	.	.	PROPN
fumecheng-2682	169	1	8	8	X
fumecheng-2682	169	2	.	.	X
fumecheng-2682	169	3	prescott	prescott	PROPN
fumecheng-2682	169	4	,	,	PUNCT
fumecheng-2682	169	5	j.	j.	PROPN
fumecheng-2682	169	6	,	,	PUNCT
fumecheng-2682	169	7	1946	1946	NUM
fumecheng-2682	169	8	,	,	PUNCT
fumecheng-2682	169	9	applied	apply	VERB
fumecheng-2682	169	10	elasticity	elasticity	NOUN
fumecheng-2682	169	11	,	,	PUNCT
fumecheng-2682	169	12	dover	dover	PROPN
fumecheng-2682	169	13	publications	publication	NOUN
fumecheng-2682	169	14	.	.	PUNCT
fumecheng-2682	170	1	9	9	X
fumecheng-2682	170	2	.	.	X
fumecheng-2682	170	3	thomas	thomas	PROPN
fumecheng-2682	170	4	,	,	PUNCT
fumecheng-2682	170	5	h.r	h.r	PROPN
fumecheng-2682	170	6	.	.	PROPN
fumecheng-2682	170	7	,	,	PUNCT
fumecheng-2682	170	8	hoersch	hoersch	PROPN
fumecheng-2682	170	9	,	,	PUNCT
fumecheng-2682	170	10	v.a	v.a	PROPN
fumecheng-2682	170	11	.	.	PROPN
fumecheng-2682	170	12	,	,	PUNCT
fumecheng-2682	170	13	1930	1930	NUM
fumecheng-2682	170	14	,	,	PUNCT
fumecheng-2682	170	15	stresses	stress	NOUN
fumecheng-2682	170	16	due	due	ADP
fumecheng-2682	170	17	to	to	ADP
fumecheng-2682	170	18	the	the	DET
fumecheng-2682	170	19	pressure	pressure	NOUN
fumecheng-2682	170	20	of	of	ADP
fumecheng-2682	170	21	one	one	NUM
fumecheng-2682	170	22	elastic	elastic	ADJ
fumecheng-2682	170	23	solid	solid	ADJ
fumecheng-2682	170	24	upon	upon	SCONJ
fumecheng-2682	170	25	another	another	PRON
fumecheng-2682	170	26	:	:	PUNCT
fumecheng-2682	170	27	a	a	DET
fumecheng-2682	170	28	report	report	NOUN
fumecheng-2682	170	29	of	of	ADP
fumecheng-2682	170	30	an	an	DET
fumecheng-2682	170	31	investigation	investigation	NOUN
fumecheng-2682	170	32	conducted	conduct	VERB
fumecheng-2682	170	33	by	by	ADP
fumecheng-2682	170	34	the	the	DET
fumecheng-2682	170	35	engineering	engineering	NOUN
fumecheng-2682	170	36	experiment	experiment	NOUN
fumecheng-2682	170	37	station	station	NOUN
fumecheng-2682	170	38	,	,	PUNCT
fumecheng-2682	170	39	university	university	NOUN
fumecheng-2682	170	40	of	of	ADP
fumecheng-2682	170	41	illinois	illinois	PROPN
fumecheng-2682	170	42	in	in	ADP
fumecheng-2682	170	43	cooperation	cooperation	NOUN
fumecheng-2682	170	44	with	with	ADP
fumecheng-2682	170	45	the	the	DET
fumecheng-2682	170	46	utilities	utilities	PROPN
fumecheng-2682	170	47	research	research	PROPN
fumecheng-2682	170	48	commission	commission	PROPN
fumecheng-2682	170	49	.	.	PUNCT
fumecheng-2682	171	1	10	10	NUM
fumecheng-2682	171	2	.	.	X
fumecheng-2682	171	3	lundberg	lundberg	PROPN
fumecheng-2682	171	4	,	,	PUNCT
fumecheng-2682	171	5	g.	g.	PROPN
fumecheng-2682	171	6	,	,	PUNCT
fumecheng-2682	171	7	1939	1939	NUM
fumecheng-2682	171	8	,	,	PUNCT
fumecheng-2682	171	9	elastische	elastische	PROPN
fumecheng-2682	171	10	berührung	berührung	PROPN
fumecheng-2682	171	11	zweier	zweier	PROPN
fumecheng-2682	171	12	halbräume	halbräume	NOUN
fumecheng-2682	171	13	,	,	PUNCT
fumecheng-2682	171	14	forschung	forschung	VERB
fumecheng-2682	171	15	auf	auf	PROPN
fumecheng-2682	171	16	dem	dem	PROPN
fumecheng-2682	171	17	gebiet	gebiet	PROPN
fumecheng-2682	171	18	des	des	PROPN
fumecheng-2682	171	19	ingenieurwesens	ingenieurwesens	PROPN
fumecheng-2682	171	20	a	a	DET
fumecheng-2682	171	21	,	,	PUNCT
fumecheng-2682	171	22	10(5	10(5	NUM
fumecheng-2682	171	23	)	)	PUNCT
fumecheng-2682	171	24	,	,	PUNCT
fumecheng-2682	171	25	pp	pp	ADP
fumecheng-2682	171	26	.	.	PUNCT
fumecheng-2682	172	1	201–211	201–211	NUM
fumecheng-2682	172	2	.	.	NOUN
fumecheng-2682	173	1	11	11	NUM
fumecheng-2682	173	2	.	.	PUNCT
fumecheng-2682	174	1	norden	norden	PROPN
fumecheng-2682	174	2	,	,	PUNCT
fumecheng-2682	174	3	b.n	b.n	PROPN
fumecheng-2682	174	4	.	.	PROPN
fumecheng-2682	174	5	,	,	PUNCT
fumecheng-2682	174	6	1973	1973	NUM
fumecheng-2682	174	7	,	,	PUNCT
fumecheng-2682	174	8	on	on	ADP
fumecheng-2682	174	9	the	the	DET
fumecheng-2682	174	10	compression	compression	NOUN
fumecheng-2682	174	11	of	of	ADP
fumecheng-2682	174	12	a	a	DET
fumecheng-2682	174	13	cylinder	cylinder	NOUN
fumecheng-2682	174	14	in	in	ADP
fumecheng-2682	174	15	contact	contact	NOUN
fumecheng-2682	174	16	with	with	ADP
fumecheng-2682	174	17	a	a	DET
fumecheng-2682	174	18	plane	plane	NOUN
fumecheng-2682	174	19	surface	surface	NOUN
fumecheng-2682	174	20	,	,	PUNCT
fumecheng-2682	174	21	national	national	ADJ
fumecheng-2682	174	22	bureau	bureau	PROPN
fumecheng-2682	174	23	of	of	ADP
fumecheng-2682	174	24	standards	standard	NOUN
fumecheng-2682	174	25	,	,	PUNCT
fumecheng-2682	174	26	washington	washington	PROPN
fumecheng-2682	174	27	d.c	d.c	PROPN
fumecheng-2682	174	28	.	.	PROPN
fumecheng-2682	174	29	12	12	NUM
fumecheng-2682	174	30	.	.	PUNCT
fumecheng-2682	174	31	puttock	puttock	PROPN
fumecheng-2682	174	32	,	,	PUNCT
fumecheng-2682	174	33	m.j	m.j	PROPN
fumecheng-2682	174	34	.	.	PROPN
fumecheng-2682	174	35	,	,	PUNCT
fumecheng-2682	174	36	thwaite	thwaite	ADJ
fumecheng-2682	174	37	,	,	PUNCT
fumecheng-2682	174	38	e.g.	e.g.	ADV
fumecheng-2682	174	39	,	,	PUNCT
fumecheng-2682	174	40	1969	1969	NUM
fumecheng-2682	174	41	,	,	PUNCT
fumecheng-2682	174	42	elastic	elastic	ADJ
fumecheng-2682	174	43	compression	compression	NOUN
fumecheng-2682	174	44	of	of	ADP
fumecheng-2682	174	45	spheres	sphere	NOUN
fumecheng-2682	174	46	and	and	CCONJ
fumecheng-2682	174	47	cylinders	cylinder	NOUN
fumecheng-2682	174	48	at	at	ADP
fumecheng-2682	174	49	point	point	NOUN
fumecheng-2682	174	50	and	and	CCONJ
fumecheng-2682	174	51	line	line	NOUN
fumecheng-2682	174	52	contact	contact	NOUN
fumecheng-2682	174	53	,	,	PUNCT
fumecheng-2682	174	54	national	national	ADJ
fumecheng-2682	174	55	standards	standard	NOUN
fumecheng-2682	174	56	laboratory	laboratory	NOUN
fumecheng-2682	174	57	.	.	PUNCT
fumecheng-2682	175	1	13	13	NUM
fumecheng-2682	175	2	.	.	X
fumecheng-2682	175	3	nakhatakyan	nakhatakyan	PROPN
fumecheng-2682	175	4	,	,	PUNCT
fumecheng-2682	175	5	f.g	f.g	PROPN
fumecheng-2682	175	6	.	.	PROPN
fumecheng-2682	175	7	,	,	PUNCT
fumecheng-2682	175	8	2011	2011	NUM
fumecheng-2682	175	9	,	,	PUNCT
fumecheng-2682	175	10	precise	precise	ADJ
fumecheng-2682	175	11	solution	solution	NOUN
fumecheng-2682	175	12	of	of	ADP
fumecheng-2682	175	13	hertz	hertz	NOUN
fumecheng-2682	175	14	contact	contact	NOUN
fumecheng-2682	175	15	problem	problem	NOUN
fumecheng-2682	175	16	for	for	ADP
fumecheng-2682	175	17	circular	circular	ADJ
fumecheng-2682	175	18	cylinders	cylinder	NOUN
fumecheng-2682	175	19	with	with	ADP
fumecheng-2682	175	20	parallel	parallel	ADJ
fumecheng-2682	175	21	axes	axis	NOUN
fumecheng-2682	175	22	,	,	PUNCT
fumecheng-2682	175	23	russian	russian	ADJ
fumecheng-2682	175	24	engineering	engineering	NOUN
fumecheng-2682	175	25	research	research	NOUN
fumecheng-2682	175	26	,	,	PUNCT
fumecheng-2682	175	27	31(3	31(3	NUM
fumecheng-2682	175	28	)	)	PUNCT
fumecheng-2682	175	29	,	,	PUNCT
fumecheng-2682	175	30	pp	pp	ADJ
fumecheng-2682	175	31	.	.	PUNCT
fumecheng-2682	176	1	193–196	193–196	NUM
fumecheng-2682	176	2	.	.	PUNCT
fumecheng-2682	177	1	14	14	NUM
fumecheng-2682	177	2	.	.	PUNCT
fumecheng-2682	178	1	kunz	kunz	PROPN
fumecheng-2682	178	2	,	,	PUNCT
fumecheng-2682	178	3	j.	j.	PROPN
fumecheng-2682	178	4	,	,	PUNCT
fumecheng-2682	178	5	de	de	PROPN
fumecheng-2682	178	6	maria	maria	PROPN
fumecheng-2682	178	7	,	,	PUNCT
fumecheng-2682	178	8	e.	e.	PROPN
fumecheng-2682	178	9	,	,	PUNCT
fumecheng-2682	178	10	2002	2002	NUM
fumecheng-2682	178	11	,	,	PUNCT
fumecheng-2682	178	12	die	die	VERB
fumecheng-2682	178	13	abplattung	abplattung	VERB
fumecheng-2682	179	1	i	i	PRON
fumecheng-2682	179	2	m	m	VERB
fumecheng-2682	179	3	kontaktproblem	kontaktproblem	NOUN
fumecheng-2682	179	4	paralleler	paralleler	NOUN
fumecheng-2682	179	5	zylinder	zylinder	NOUN
fumecheng-2682	179	6	,	,	PUNCT
fumecheng-2682	179	7	forschung	forschung	VERB
fumecheng-2682	179	8	i	i	PROPN
fumecheng-2682	179	9	m	m	VERB
fumecheng-2682	179	10	ingenieurwesen	ingenieurwesen	ADJ
fumecheng-2682	179	11	,	,	PUNCT
fumecheng-2682	179	12	67(4	67(4	NUM
fumecheng-2682	179	13	)	)	PUNCT
fumecheng-2682	179	14	,	,	PUNCT
fumecheng-2682	179	15	pp	pp	ADJ
fumecheng-2682	179	16	.	.	PUNCT
fumecheng-2682	180	1	146–156	146–156	NUM
fumecheng-2682	180	2	.	.	NOUN
fumecheng-2682	181	1	15	15	NUM
fumecheng-2682	181	2	.	.	X
fumecheng-2682	181	3	thwaite	thwaite	ADJ
fumecheng-2682	181	4	,	,	PUNCT
fumecheng-2682	181	5	e.g.	e.g.	ADV
fumecheng-2682	181	6	,	,	PUNCT
fumecheng-2682	181	7	1969	1969	NUM
fumecheng-2682	181	8	,	,	PUNCT
fumecheng-2682	181	9	a	a	DET
fumecheng-2682	181	10	precise	precise	ADJ
fumecheng-2682	181	11	measurement	measurement	NOUN
fumecheng-2682	181	12	of	of	ADP
fumecheng-2682	181	13	the	the	DET
fumecheng-2682	181	14	compression	compression	NOUN
fumecheng-2682	181	15	of	of	ADP
fumecheng-2682	181	16	a	a	DET
fumecheng-2682	181	17	cylinder	cylinder	NOUN
fumecheng-2682	181	18	in	in	ADP
fumecheng-2682	181	19	contact	contact	NOUN
fumecheng-2682	181	20	with	with	ADP
fumecheng-2682	181	21	a	a	DET
fumecheng-2682	181	22	flat	flat	ADJ
fumecheng-2682	181	23	surface	surface	NOUN
fumecheng-2682	181	24	,	,	PUNCT
fumecheng-2682	181	25	journal	journal	NOUN
fumecheng-2682	181	26	of	of	ADP
fumecheng-2682	181	27	physics	physics	PROPN
fumecheng-2682	181	28	e	e	NOUN
fumecheng-2682	181	29	:	:	PUNCT
fumecheng-2682	181	30	scientific	scientific	ADJ
fumecheng-2682	181	31	instruments	instrument	NOUN
fumecheng-2682	181	32	,	,	PUNCT
fumecheng-2682	181	33	2(1	2(1	NUM
fumecheng-2682	181	34	)	)	PUNCT
fumecheng-2682	181	35	,	,	PUNCT
fumecheng-2682	181	36	pp	pp	ADP
fumecheng-2682	181	37	.	.	PUNCT
fumecheng-2682	182	1	79–82	79–82	X
fumecheng-2682	182	2	.	.	PROPN
fumecheng-2682	182	3	16	16	NUM
fumecheng-2682	182	4	.	.	PUNCT
fumecheng-2682	182	5	glovnea	glovnea	PROPN
fumecheng-2682	182	6	,	,	PUNCT
fumecheng-2682	182	7	m.	m.	NOUN
fumecheng-2682	182	8	,	,	PUNCT
fumecheng-2682	182	9	diaconescu	diaconescu	PROPN
fumecheng-2682	182	10	,	,	PUNCT
fumecheng-2682	182	11	e.	e.	PROPN
fumecheng-2682	182	12	,	,	PUNCT
fumecheng-2682	182	13	2004	2004	NUM
fumecheng-2682	182	14	,	,	PUNCT
fumecheng-2682	182	15	new	new	ADJ
fumecheng-2682	182	16	investigations	investigation	NOUN
fumecheng-2682	182	17	of	of	ADP
fumecheng-2682	182	18	finite	finite	PROPN
fumecheng-2682	182	19	length	length	PROPN
fumecheng-2682	182	20	line	line	NOUN
fumecheng-2682	182	21	contact	contact	NOUN
fumecheng-2682	182	22	,	,	PUNCT
fumecheng-2682	182	23	in	in	ADP
fumecheng-2682	182	24	asme	asme	PROPN
fumecheng-2682	182	25	proceedings	proceeding	NOUN
fumecheng-2682	182	26	,	,	PUNCT
fumecheng-2682	182	27	special	special	ADJ
fumecheng-2682	182	28	symposia	symposia	NOUN
fumecheng-2682	182	29	on	on	ADP
fumecheng-2682	182	30	contact	contact	NOUN
fumecheng-2682	182	31	mechanics	mechanic	NOUN
fumecheng-2682	182	32	,	,	PUNCT
fumecheng-2682	182	33	pp	pp	ADJ
fumecheng-2682	182	34	.	.	PUNCT
fumecheng-2682	183	1	147–152	147–152	NUM
fumecheng-2682	183	2	.	.	PUNCT
fumecheng-2682	184	1	17	17	NUM
fumecheng-2682	184	2	.	.	PUNCT
fumecheng-2682	185	1	najjari	najjari	PROPN
fumecheng-2682	185	2	,	,	PUNCT
fumecheng-2682	185	3	m.	m.	NOUN
fumecheng-2682	185	4	,	,	PUNCT
fumecheng-2682	185	5	guilbault	guilbault	NOUN
fumecheng-2682	185	6	,	,	PUNCT
fumecheng-2682	185	7	r.	r.	PROPN
fumecheng-2682	185	8	,	,	PUNCT
fumecheng-2682	185	9	2014	2014	NUM
fumecheng-2682	185	10	,	,	PUNCT
fumecheng-2682	185	11	modeling	model	VERB
fumecheng-2682	185	12	the	the	DET
fumecheng-2682	185	13	edge	edge	NOUN
fumecheng-2682	185	14	contact	contact	NOUN
fumecheng-2682	185	15	effect	effect	NOUN
fumecheng-2682	185	16	of	of	ADP
fumecheng-2682	185	17	finite	finite	ADJ
fumecheng-2682	185	18	contact	contact	NOUN
fumecheng-2682	185	19	lines	line	NOUN
fumecheng-2682	185	20	on	on	ADP
fumecheng-2682	185	21	subsurface	subsurface	NOUN
fumecheng-2682	185	22	stresses	stress	NOUN
fumecheng-2682	185	23	,	,	PUNCT
fumecheng-2682	185	24	tribology	tribology	PROPN
fumecheng-2682	185	25	international	international	PROPN
fumecheng-2682	185	26	,	,	PUNCT
fumecheng-2682	185	27	77	77	NUM
fumecheng-2682	185	28	,	,	PUNCT
fumecheng-2682	185	29	pp	pp	ADJ
fumecheng-2682	185	30	.	.	PUNCT
fumecheng-2682	186	1	78–85	78–85	NUM
fumecheng-2682	186	2	.	.	PUNCT
fumecheng-2682	187	1	18	18	NUM
fumecheng-2682	187	2	.	.	X
fumecheng-2682	187	3	argatov	argatov	PROPN
fumecheng-2682	187	4	,	,	PUNCT
fumecheng-2682	187	5	i.	i.	PROPN
fumecheng-2682	187	6	,	,	PUNCT
fumecheng-2682	187	7	heß	heß	PROPN
fumecheng-2682	187	8	,	,	PUNCT
fumecheng-2682	187	9	m.	m.	NOUN
fumecheng-2682	187	10	,	,	PUNCT
fumecheng-2682	187	11	pohrt	pohrt	PROPN
fumecheng-2682	187	12	,	,	PUNCT
fumecheng-2682	187	13	r.	r.	PROPN
fumecheng-2682	187	14	,	,	PUNCT
fumecheng-2682	187	15	popov	popov	PROPN
fumecheng-2682	187	16	,	,	PUNCT
fumecheng-2682	187	17	v.l	v.l	PROPN
fumecheng-2682	187	18	.	.	PROPN
fumecheng-2682	187	19	,	,	PUNCT
fumecheng-2682	187	20	2016	2016	NUM
fumecheng-2682	187	21	,	,	PUNCT
fumecheng-2682	187	22	the	the	DET
fumecheng-2682	187	23	extension	extension	NOUN
fumecheng-2682	187	24	of	of	ADP
fumecheng-2682	187	25	the	the	DET
fumecheng-2682	187	26	method	method	NOUN
fumecheng-2682	187	27	of	of	ADP
fumecheng-2682	187	28	dimensionality	dimensionality	NOUN
fumecheng-2682	187	29	reduction	reduction	NOUN
fumecheng-2682	187	30	to	to	ADP
fumecheng-2682	187	31	non	non	ADJ
fumecheng-2682	187	32	-	-	ADJ
fumecheng-2682	187	33	compact	compact	ADJ
fumecheng-2682	187	34	and	and	CCONJ
fumecheng-2682	187	35	non	non	ADJ
fumecheng-2682	187	36	-	-	ADJ
fumecheng-2682	187	37	axisymmetric	axisymmetric	ADJ
fumecheng-2682	187	38	contacts	contact	NOUN
fumecheng-2682	187	39	,	,	PUNCT
fumecheng-2682	187	40	zamm	zamm	PROPN
fumecheng-2682	187	41	journal	journal	PROPN
fumecheng-2682	187	42	of	of	ADP
fumecheng-2682	187	43	applied	apply	VERB
fumecheng-2682	187	44	mathematics	mathematic	NOUN
fumecheng-2682	187	45	and	and	CCONJ
fumecheng-2682	187	46	mechanics	mechanic	NOUN
fumecheng-2682	187	47	,	,	PUNCT
fumecheng-2682	187	48	96(10	96(10	NUM
fumecheng-2682	187	49	)	)	PUNCT
fumecheng-2682	187	50	,	,	PUNCT
fumecheng-2682	187	51	pp	pp	ADP
fumecheng-2682	187	52	.	.	PUNCT
fumecheng-2682	188	1	1144–1155	1144–1155	NUM
fumecheng-2682	188	2	.	.	PUNCT
fumecheng-2682	189	1	19	19	NUM
fumecheng-2682	189	2	.	.	PUNCT
fumecheng-2682	190	1	popov	popov	PROPN
fumecheng-2682	190	2	,	,	PUNCT
fumecheng-2682	190	3	v.l	v.l	PROPN
fumecheng-2682	190	4	.	.	PROPN
fumecheng-2682	190	5	,	,	PUNCT
fumecheng-2682	190	6	heß	heß	PROPN
fumecheng-2682	190	7	,	,	PUNCT
fumecheng-2682	190	8	m.	m.	NOUN
fumecheng-2682	190	9	,	,	PUNCT
fumecheng-2682	190	10	2015	2015	NUM
fumecheng-2682	190	11	,	,	PUNCT
fumecheng-2682	190	12	method	method	NOUN
fumecheng-2682	190	13	of	of	ADP
fumecheng-2682	190	14	dimensionality	dimensionality	NOUN
fumecheng-2682	190	15	reduction	reduction	NOUN
fumecheng-2682	190	16	in	in	ADP
fumecheng-2682	190	17	contact	contact	NOUN
fumecheng-2682	190	18	mechanics	mechanic	NOUN
fumecheng-2682	190	19	and	and	CCONJ
fumecheng-2682	190	20	friction	friction	NOUN
fumecheng-2682	190	21	,	,	PUNCT
fumecheng-2682	190	22	springer	springer	NOUN
fumecheng-2682	190	23	,	,	PUNCT
fumecheng-2682	190	24	berlin	berlin	PROPN
fumecheng-2682	190	25	.	.	PUNCT
fumecheng-2682	191	1	20	20	NUM
fumecheng-2682	191	2	.	.	PUNCT
fumecheng-2682	192	1	popov	popov	PROPN
fumecheng-2682	192	2	,	,	PUNCT
fumecheng-2682	192	3	v.l	v.l	PROPN
fumecheng-2682	192	4	.	.	PROPN
fumecheng-2682	192	5	,	,	PUNCT
fumecheng-2682	192	6	pohrt	pohrt	PROPN
fumecheng-2682	192	7	,	,	PUNCT
fumecheng-2682	192	8	r.	r.	PROPN
fumecheng-2682	192	9	,	,	PUNCT
fumecheng-2682	192	10	heß	heß	PROPN
fumecheng-2682	192	11	,	,	PUNCT
fumecheng-2682	192	12	m.	m.	NOUN
fumecheng-2682	192	13	,	,	PUNCT
fumecheng-2682	192	14	2016	2016	NUM
fumecheng-2682	192	15	,	,	PUNCT
fumecheng-2682	192	16	general	general	ADJ
fumecheng-2682	192	17	procedure	procedure	NOUN
fumecheng-2682	192	18	for	for	ADP
fumecheng-2682	192	19	solution	solution	NOUN
fumecheng-2682	192	20	of	of	ADP
fumecheng-2682	192	21	contact	contact	NOUN
fumecheng-2682	192	22	problems	problem	NOUN
fumecheng-2682	192	23	under	under	ADP
fumecheng-2682	192	24	dynamic	dynamic	ADJ
fumecheng-2682	192	25	normal	normal	ADJ
fumecheng-2682	192	26	and	and	CCONJ
fumecheng-2682	192	27	tangential	tangential	ADJ
fumecheng-2682	192	28	loading	loading	NOUN
fumecheng-2682	192	29	based	base	VERB
fumecheng-2682	192	30	on	on	ADP
fumecheng-2682	192	31	the	the	DET
fumecheng-2682	192	32	known	know	VERB
fumecheng-2682	192	33	solution	solution	NOUN
fumecheng-2682	192	34	of	of	ADP
fumecheng-2682	192	35	normal	normal	ADJ
fumecheng-2682	192	36	contact	contact	NOUN
fumecheng-2682	192	37	problem	problem	NOUN
fumecheng-2682	192	38	,	,	PUNCT
fumecheng-2682	192	39	the	the	DET
fumecheng-2682	192	40	journal	journal	NOUN
fumecheng-2682	192	41	of	of	ADP
fumecheng-2682	192	42	strain	strain	ADJ
fumecheng-2682	192	43	analysis	analysis	NOUN
fumecheng-2682	192	44	for	for	ADP
fumecheng-2682	192	45	engineering	engineering	NOUN
fumecheng-2682	192	46	design	design	NOUN
fumecheng-2682	192	47	,	,	PUNCT
fumecheng-2682	192	48	51(4	51(4	NUM
fumecheng-2682	192	49	)	)	PUNCT
fumecheng-2682	192	50	,	,	PUNCT
fumecheng-2682	192	51	pp	pp	ADJ
fumecheng-2682	192	52	.	.	PUNCT
fumecheng-2682	193	1	247–255	247–255	NUM
fumecheng-2682	193	2	.	.	X
fumecheng-2682	194	1	21	21	NUM
fumecheng-2682	194	2	.	.	PUNCT
fumecheng-2682	194	3	pohrt	pohrt	PROPN
fumecheng-2682	194	4	,	,	PUNCT
fumecheng-2682	194	5	r.	r.	PROPN
fumecheng-2682	194	6	li	li	PROPN
fumecheng-2682	194	7	,	,	PUNCT
fumecheng-2682	194	8	q.	q.	PROPN
fumecheng-2682	194	9	,	,	PUNCT
fumecheng-2682	194	10	2014	2014	NUM
fumecheng-2682	194	11	,	,	PUNCT
fumecheng-2682	194	12	complete	complete	ADJ
fumecheng-2682	194	13	boundary	boundary	ADJ
fumecheng-2682	194	14	element	element	NOUN
fumecheng-2682	194	15	formulation	formulation	NOUN
fumecheng-2682	194	16	for	for	ADP
fumecheng-2682	194	17	normal	normal	ADJ
fumecheng-2682	194	18	and	and	CCONJ
fumecheng-2682	194	19	tangential	tangential	ADJ
fumecheng-2682	194	20	contact	contact	NOUN
fumecheng-2682	194	21	problems	problem	NOUN
fumecheng-2682	194	22	,	,	PUNCT
fumecheng-2682	194	23	physical	physical	ADJ
fumecheng-2682	194	24	mesomechanics	mesomechanic	NOUN
fumecheng-2682	194	25	,	,	PUNCT
fumecheng-2682	194	26	17(4	17(4	NUM
fumecheng-2682	194	27	)	)	PUNCT
fumecheng-2682	194	28	,	,	PUNCT
fumecheng-2682	194	29	pp	pp	ADP
fumecheng-2682	194	30	.	.	PUNCT
fumecheng-2682	195	1	334–340	334–340	NUM
fumecheng-2682	195	2	.	.	PUNCT
fumecheng-2682	196	1	22	22	NUM
fumecheng-2682	196	2	.	.	PUNCT
fumecheng-2682	197	1	pohrt	pohrt	PROPN
fumecheng-2682	197	2	,	,	PUNCT
fumecheng-2682	197	3	r.	r.	PROPN
fumecheng-2682	197	4	,	,	PUNCT
fumecheng-2682	197	5	popov	popov	PROPN
fumecheng-2682	197	6	,	,	PUNCT
fumecheng-2682	197	7	v.l	v.l	PROPN
fumecheng-2682	197	8	.	.	PROPN
fumecheng-2682	197	9	,	,	PUNCT
fumecheng-2682	197	10	2015	2015	NUM
fumecheng-2682	197	11	,	,	PUNCT
fumecheng-2682	197	12	adhesive	adhesive	ADJ
fumecheng-2682	197	13	contact	contact	NOUN
fumecheng-2682	197	14	simulation	simulation	NOUN
fumecheng-2682	197	15	of	of	ADP
fumecheng-2682	197	16	elastic	elastic	ADJ
fumecheng-2682	197	17	solids	solid	NOUN
fumecheng-2682	197	18	using	use	VERB
fumecheng-2682	197	19	local	local	ADJ
fumecheng-2682	197	20	mesh	mesh	NOUN
fumecheng-2682	197	21	-	-	PUNCT
fumecheng-2682	197	22	dependent	dependent	ADJ
fumecheng-2682	197	23	detachment	detachment	NOUN
fumecheng-2682	197	24	criterion	criterion	NOUN
fumecheng-2682	197	25	in	in	ADP
fumecheng-2682	197	26	boundary	boundary	ADJ
fumecheng-2682	197	27	elements	element	NOUN
fumecheng-2682	197	28	method	method	NOUN
fumecheng-2682	197	29	,	,	PUNCT
fumecheng-2682	197	30	facta	facta	PROPN
fumecheng-2682	197	31	universitatis	universitatis	PROPN
fumecheng-2682	197	32	,	,	PUNCT
fumecheng-2682	197	33	series	series	NOUN
fumecheng-2682	197	34	:	:	PUNCT
fumecheng-2682	197	35	mechanical	mechanical	ADJ
fumecheng-2682	197	36	engineering	engineering	NOUN
fumecheng-2682	197	37	,	,	PUNCT
fumecheng-2682	197	38	13(1	13(1	NUM
fumecheng-2682	197	39	)	)	PUNCT
fumecheng-2682	197	40	,	,	PUNCT
fumecheng-2682	198	1	pp	pp	PROPN
fumecheng-2682	198	2	.	.	PUNCT
fumecheng-2682	199	1	3–10	3–10	NOUN
fumecheng-2682	199	2	.	.	PUNCT
fumecheng-2682	200	1	23	23	NUM
fumecheng-2682	200	2	.	.	PUNCT
fumecheng-2682	201	1	li	li	PROPN
fumecheng-2682	201	2	,	,	PUNCT
fumecheng-2682	201	3	q.	q.	PROPN
fumecheng-2682	201	4	,	,	PUNCT
fumecheng-2682	201	5	popov	popov	PROPN
fumecheng-2682	201	6	,	,	PUNCT
fumecheng-2682	201	7	v.l	v.l	PROPN
fumecheng-2682	201	8	.	.	PROPN
fumecheng-2682	201	9	,	,	PUNCT
fumecheng-2682	201	10	2016	2016	NUM
fumecheng-2682	201	11	,	,	PUNCT
fumecheng-2682	201	12	boundary	boundary	ADJ
fumecheng-2682	201	13	element	element	NOUN
fumecheng-2682	201	14	method	method	NOUN
fumecheng-2682	201	15	for	for	ADP
fumecheng-2682	201	16	normal	normal	ADJ
fumecheng-2682	201	17	non	non	ADJ
fumecheng-2682	201	18	-	-	ADJ
fumecheng-2682	201	19	adhesive	adhesive	ADJ
fumecheng-2682	201	20	and	and	CCONJ
fumecheng-2682	201	21	adhesive	adhesive	ADJ
fumecheng-2682	201	22	contacts	contact	NOUN
fumecheng-2682	201	23	of	of	ADP
fumecheng-2682	201	24	power	power	NOUN
fumecheng-2682	201	25	-	-	PUNCT
fumecheng-2682	201	26	law	law	NOUN
fumecheng-2682	201	27	graded	grade	VERB
fumecheng-2682	201	28	elastic	elastic	ADJ
fumecheng-2682	201	29	materials	material	NOUN
fumecheng-2682	201	30	,	,	PUNCT
fumecheng-2682	201	31	arxiv:1612.08395	arxiv:1612.08395	PROPN
fumecheng-2682	201	32	.	.	PUNCT