id	sid	tid	token	lemma	pos
ap-6861	1	1	acta	acta	PROPN
ap-6861	1	2	polytechnica	polytechnica	PROPN
ap-6861	1	3	https://doi.org/10.14311/ap.2021.61.0163	https://doi.org/10.14311/ap.2021.61.0163	PROPN
ap-6861	1	4	acta	acta	PROPN
ap-6861	1	5	polytechnica	polytechnica	PROPN
ap-6861	1	6	61(1):163–173	61(1):163–173	PROPN
ap-6861	1	7	,	,	PUNCT
ap-6861	1	8	2021	2021	NUM
ap-6861	1	9	©	©	ADP
ap-6861	1	10	2021	2021	NUM
ap-6861	1	11	the	the	DET
ap-6861	1	12	author(s	author(s	NOUN
ap-6861	1	13	)	)	PUNCT
ap-6861	1	14	.	.	PUNCT
ap-6861	2	1	licensed	license	VERB
ap-6861	2	2	under	under	ADP
ap-6861	2	3	a	a	DET
ap-6861	2	4	cc	cc	NOUN
ap-6861	2	5	-	-	PUNCT
ap-6861	2	6	by	by	ADP
ap-6861	2	7	4.0	4.0	NUM
ap-6861	2	8	licence	licence	NOUN
ap-6861	2	9	published	publish	VERB
ap-6861	2	10	by	by	ADP
ap-6861	2	11	the	the	DET
ap-6861	2	12	czech	czech	PROPN
ap-6861	2	13	technical	technical	PROPN
ap-6861	2	14	university	university	PROPN
ap-6861	2	15	in	in	ADP
ap-6861	2	16	prague	prague	PROPN
ap-6861	2	17	effects	effect	NOUN
ap-6861	2	18	of	of	ADP
ap-6861	2	19	design	design	NOUN
ap-6861	2	20	parameters	parameter	NOUN
ap-6861	2	21	on	on	ADP
ap-6861	2	22	static	static	ADJ
ap-6861	2	23	equivalent	equivalent	ADJ
ap-6861	2	24	stress	stress	NOUN
ap-6861	2	25	of	of	ADP
ap-6861	2	26	radial	radial	ADJ
ap-6861	2	27	rolling	rolling	ADJ
ap-6861	2	28	bearings	bearing	NOUN
ap-6861	2	29	mehmet	mehmet	PROPN
ap-6861	2	30	bozca	bozca	PROPN
ap-6861	2	31	yildiz	yildiz	PROPN
ap-6861	2	32	technical	technical	PROPN
ap-6861	2	33	university	university	PROPN
ap-6861	2	34	,	,	PUNCT
ap-6861	2	35	mechanical	mechanical	ADJ
ap-6861	2	36	engineering	engineering	NOUN
ap-6861	2	37	faculty	faculty	NOUN
ap-6861	2	38	,	,	PUNCT
ap-6861	2	39	machine	machine	NOUN
ap-6861	2	40	design	design	NOUN
ap-6861	2	41	division	division	NOUN
ap-6861	2	42	,	,	PUNCT
ap-6861	2	43	34349	34349	NUM
ap-6861	2	44	yildiz	yildiz	NOUN
ap-6861	2	45	,	,	PUNCT
ap-6861	2	46	istanbul	istanbul	PROPN
ap-6861	2	47	,	,	PUNCT
ap-6861	2	48	turkey	turkey	NOUN
ap-6861	2	49	correspondence	correspondence	NOUN
ap-6861	2	50	:	:	PUNCT
ap-6861	2	51	mbozca@yildiz.edu.tr	mbozca@yildiz.edu.tr	PROPN
ap-6861	2	52	abstract	abstract	NOUN
ap-6861	2	53	.	.	PUNCT
ap-6861	3	1	the	the	DET
ap-6861	3	2	aim	aim	NOUN
ap-6861	3	3	of	of	ADP
ap-6861	3	4	this	this	DET
ap-6861	3	5	study	study	NOUN
ap-6861	3	6	is	be	AUX
ap-6861	3	7	to	to	PART
ap-6861	3	8	theoretically	theoretically	ADV
ap-6861	3	9	investigate	investigate	VERB
ap-6861	3	10	the	the	DET
ap-6861	3	11	effects	effect	NOUN
ap-6861	3	12	of	of	ADP
ap-6861	3	13	design	design	NOUN
ap-6861	3	14	parameters	parameter	NOUN
ap-6861	3	15	on	on	ADP
ap-6861	3	16	the	the	DET
ap-6861	3	17	static	static	ADJ
ap-6861	3	18	equivalent	equivalent	ADJ
ap-6861	3	19	stress	stress	NOUN
ap-6861	3	20	of	of	ADP
ap-6861	3	21	radial	radial	ADJ
ap-6861	3	22	rolling	rolling	ADJ
ap-6861	3	23	bearings	bearing	NOUN
ap-6861	3	24	,	,	PUNCT
ap-6861	3	25	such	such	ADJ
ap-6861	3	26	as	as	ADP
ap-6861	3	27	the	the	DET
ap-6861	3	28	point	point	NOUN
ap-6861	3	29	contact	contact	NOUN
ap-6861	3	30	case	case	NOUN
ap-6861	3	31	for	for	ADP
ap-6861	3	32	ball	ball	NOUN
ap-6861	3	33	bearings	bearing	NOUN
ap-6861	3	34	and	and	CCONJ
ap-6861	3	35	line	line	NOUN
ap-6861	3	36	contact	contact	NOUN
ap-6861	3	37	case	case	NOUN
ap-6861	3	38	for	for	ADP
ap-6861	3	39	roller	roller	NOUN
ap-6861	3	40	bearings	bearing	NOUN
ap-6861	3	41	.	.	PUNCT
ap-6861	4	1	the	the	DET
ap-6861	4	2	contact	contact	NOUN
ap-6861	4	3	pressure	pressure	NOUN
ap-6861	4	4	,	,	PUNCT
ap-6861	4	5	contact	contact	NOUN
ap-6861	4	6	area	area	NOUN
ap-6861	4	7	and	and	CCONJ
ap-6861	4	8	von	von	PROPN
ap-6861	4	9	misses	miss	VERB
ap-6861	4	10	stress	stress	NOUN
ap-6861	4	11	of	of	ADP
ap-6861	4	12	bearings	bearing	NOUN
ap-6861	4	13	are	be	AUX
ap-6861	4	14	calculated	calculate	VERB
ap-6861	4	15	based	base	VERB
ap-6861	4	16	on	on	ADP
ap-6861	4	17	geometrical	geometrical	ADJ
ap-6861	4	18	parameters	parameter	NOUN
ap-6861	4	19	,	,	PUNCT
ap-6861	4	20	material	material	NOUN
ap-6861	4	21	parameters	parameter	NOUN
ap-6861	4	22	and	and	CCONJ
ap-6861	4	23	loading	loading	NOUN
ap-6861	4	24	parameters	parameter	NOUN
ap-6861	4	25	by	by	ADP
ap-6861	4	26	using	use	VERB
ap-6861	4	27	the	the	DET
ap-6861	4	28	developed	develop	VERB
ap-6861	4	29	matlab	matlab	PROPN
ap-6861	4	30	program	program	NOUN
ap-6861	4	31	.	.	PUNCT
ap-6861	5	1	to	to	PART
ap-6861	5	2	achieve	achieve	VERB
ap-6861	5	3	this	this	DET
ap-6861	5	4	aim	aim	NOUN
ap-6861	5	5	,	,	PUNCT
ap-6861	5	6	both	both	CCONJ
ap-6861	5	7	the	the	DET
ap-6861	5	8	maximum	maximum	ADJ
ap-6861	5	9	contact	contact	NOUN
ap-6861	5	10	pressure	pressure	NOUN
ap-6861	5	11	pmax	pmax	NOUN
ap-6861	5	12	and	and	CCONJ
ap-6861	5	13	von	von	PROPN
ap-6861	5	14	mises	mises	PROPN
ap-6861	5	15	effective	effective	ADJ
ap-6861	5	16	stress	stress	NOUN
ap-6861	5	17	σv	σv	PROPN
ap-6861	5	18	m	m	VERB
ap-6861	5	19	are	be	AUX
ap-6861	5	20	simulated	simulate	VERB
ap-6861	5	21	with	with	ADP
ap-6861	5	22	respect	respect	NOUN
ap-6861	5	23	to	to	ADP
ap-6861	5	24	design	design	NOUN
ap-6861	5	25	parameters	parameter	NOUN
ap-6861	5	26	such	such	ADJ
ap-6861	5	27	as	as	ADP
ap-6861	5	28	varying	vary	VERB
ap-6861	5	29	ball	ball	NOUN
ap-6861	5	30	and	and	CCONJ
ap-6861	5	31	roller	roller	NOUN
ap-6861	5	32	element	element	NOUN
ap-6861	5	33	diameters	diameter	NOUN
ap-6861	5	34	and	and	CCONJ
ap-6861	5	35	varying	vary	VERB
ap-6861	5	36	ball	ball	NOUN
ap-6861	5	37	and	and	CCONJ
ap-6861	5	38	roller	roller	NOUN
ap-6861	5	39	element	element	NOUN
ap-6861	5	40	elasticity	elasticity	NOUN
ap-6861	5	41	modulus	modulus	NOUN
ap-6861	5	42	.	.	PUNCT
ap-6861	6	1	for	for	ADP
ap-6861	6	2	the	the	DET
ap-6861	6	3	point	point	NOUN
ap-6861	6	4	contact	contact	NOUN
ap-6861	6	5	case	case	NOUN
ap-6861	6	6	and	and	CCONJ
ap-6861	6	7	line	line	NOUN
ap-6861	6	8	contact	contact	NOUN
ap-6861	6	9	case	case	NOUN
ap-6861	6	10	,	,	PUNCT
ap-6861	6	11	it	it	PRON
ap-6861	6	12	was	be	AUX
ap-6861	6	13	concluded	conclude	VERB
ap-6861	6	14	that	that	SCONJ
ap-6861	6	15	increasing	increase	VERB
ap-6861	6	16	the	the	DET
ap-6861	6	17	diameter	diameter	NOUN
ap-6861	6	18	of	of	ADP
ap-6861	6	19	ball	ball	NOUN
ap-6861	6	20	and	and	CCONJ
ap-6861	6	21	roller	roller	NOUN
ap-6861	6	22	elements	element	NOUN
ap-6861	6	23	results	result	VERB
ap-6861	6	24	in	in	ADP
ap-6861	6	25	reducing	reduce	VERB
ap-6861	6	26	the	the	DET
ap-6861	6	27	maximum	maximum	ADJ
ap-6861	6	28	contact	contact	NOUN
ap-6861	6	29	pressure	pressure	NOUN
ap-6861	6	30	pmax	pmax	NOUN
ap-6861	6	31	and	and	CCONJ
ap-6861	6	32	von	von	PROPN
ap-6861	6	33	mises	mises	PROPN
ap-6861	6	34	effective	effective	ADJ
ap-6861	6	35	stress	stress	NOUN
ap-6861	6	36	σv	σv	PROPN
ap-6861	6	37	m	m	PROPN
ap-6861	6	38	.	.	PUNCT
ap-6861	7	1	furthermore	furthermore	ADV
ap-6861	7	2	,	,	PUNCT
ap-6861	7	3	increasing	increase	VERB
ap-6861	7	4	the	the	DET
ap-6861	7	5	elasticity	elasticity	NOUN
ap-6861	7	6	modulus	modulus	NOUN
ap-6861	7	7	of	of	ADP
ap-6861	7	8	the	the	DET
ap-6861	7	9	ball	ball	NOUN
ap-6861	7	10	and	and	CCONJ
ap-6861	7	11	roller	roller	NOUN
ap-6861	7	12	elements	element	NOUN
ap-6861	7	13	results	result	VERB
ap-6861	7	14	in	in	ADP
ap-6861	7	15	increasing	increase	VERB
ap-6861	7	16	the	the	DET
ap-6861	7	17	maximum	maximum	ADJ
ap-6861	7	18	contact	contact	NOUN
ap-6861	7	19	pressure	pressure	NOUN
ap-6861	7	20	pmax	pmax	NOUN
ap-6861	7	21	and	and	CCONJ
ap-6861	7	22	von	von	PROPN
ap-6861	7	23	mises	mises	PROPN
ap-6861	7	24	effective	effective	ADJ
ap-6861	7	25	stress	stress	NOUN
ap-6861	7	26	σv	σv	PROPN
ap-6861	7	27	m	m	NOUN
ap-6861	7	28	because	because	SCONJ
ap-6861	7	29	of	of	ADP
ap-6861	7	30	the	the	DET
ap-6861	7	31	decrease	decrease	NOUN
ap-6861	7	32	of	of	ADP
ap-6861	7	33	contact	contact	NOUN
ap-6861	7	34	area	area	NOUN
ap-6861	7	35	a.	a.	NOUN
ap-6861	7	36	the	the	DET
ap-6861	7	37	determination	determination	NOUN
ap-6861	7	38	of	of	ADP
ap-6861	7	39	the	the	DET
ap-6861	7	40	diameter	diameter	NOUN
ap-6861	7	41	of	of	ADP
ap-6861	7	42	the	the	DET
ap-6861	7	43	ball	ball	NOUN
ap-6861	7	44	and	and	CCONJ
ap-6861	7	45	roller	roller	NOUN
ap-6861	7	46	elements	element	NOUN
ap-6861	7	47	and	and	CCONJ
ap-6861	7	48	the	the	DET
ap-6861	7	49	selection	selection	NOUN
ap-6861	7	50	of	of	ADP
ap-6861	7	51	material	material	NOUN
ap-6861	7	52	are	be	AUX
ap-6861	7	53	crucial	crucial	ADJ
ap-6861	7	54	and	and	CCONJ
ap-6861	7	55	play	play	VERB
ap-6861	7	56	an	an	DET
ap-6861	7	57	effective	effective	ADJ
ap-6861	7	58	role	role	NOUN
ap-6861	7	59	during	during	ADP
ap-6861	7	60	the	the	DET
ap-6861	7	61	design	design	NOUN
ap-6861	7	62	process	process	NOUN
ap-6861	7	63	.	.	PUNCT
ap-6861	8	1	therefore	therefore	ADV
ap-6861	8	2	,	,	PUNCT
ap-6861	8	3	bearing	bear	VERB
ap-6861	8	4	designers	designer	NOUN
ap-6861	8	5	and	and	CCONJ
ap-6861	8	6	manufacturers	manufacturer	NOUN
ap-6861	8	7	should	should	AUX
ap-6861	8	8	make	make	VERB
ap-6861	8	9	the	the	DET
ap-6861	8	10	bearing	bear	VERB
ap-6861	8	11	geometrical	geometrical	ADJ
ap-6861	8	12	dimensions	dimension	NOUN
ap-6861	8	13	as	as	ADV
ap-6861	8	14	large	large	ADJ
ap-6861	8	15	as	as	ADP
ap-6861	8	16	possible	possible	ADJ
ap-6861	8	17	and	and	CCONJ
ap-6861	8	18	bearing	bear	VERB
ap-6861	8	19	material	material	NOUN
ap-6861	8	20	as	as	ADV
ap-6861	8	21	elastic	elastic	ADJ
ap-6861	8	22	as	as	ADP
ap-6861	8	23	possible	possible	ADJ
ap-6861	8	24	.	.	PUNCT
ap-6861	9	1	furthermore	furthermore	ADV
ap-6861	9	2	,	,	PUNCT
ap-6861	9	3	the	the	DET
ap-6861	9	4	stress	stress	NOUN
ap-6861	9	5	-	-	PUNCT
ap-6861	9	6	based	base	VERB
ap-6861	9	7	static	static	ADJ
ap-6861	9	8	failure	failure	NOUN
ap-6861	9	9	theory	theory	NOUN
ap-6861	9	10	can	can	AUX
ap-6861	9	11	also	also	ADV
ap-6861	9	12	be	be	AUX
ap-6861	9	13	used	use	VERB
ap-6861	9	14	instead	instead	ADV
ap-6861	9	15	of	of	ADP
ap-6861	9	16	the	the	DET
ap-6861	9	17	standard	standard	ADJ
ap-6861	9	18	static	static	ADJ
ap-6861	9	19	load	load	NOUN
ap-6861	9	20	carrying	carry	VERB
ap-6861	9	21	capacity	capacity	NOUN
ap-6861	9	22	calculation	calculation	NOUN
ap-6861	9	23	.	.	PUNCT
ap-6861	10	1	moreover	moreover	ADV
ap-6861	10	2	,	,	PUNCT
ap-6861	10	3	von	von	PROPN
ap-6861	10	4	mises	mises	PROPN
ap-6861	10	5	stress	stress	PROPN
ap-6861	10	6	theory	theory	NOUN
ap-6861	10	7	is	be	AUX
ap-6861	10	8	also	also	ADV
ap-6861	10	9	compatible	compatible	ADJ
ap-6861	10	10	with	with	ADP
ap-6861	10	11	the	the	DET
ap-6861	10	12	finite	finite	ADJ
ap-6861	10	13	element	element	NOUN
ap-6861	10	14	method	method	NOUN
ap-6861	10	15	.	.	PUNCT
ap-6861	11	1	keywords	keyword	NOUN
ap-6861	11	2	:	:	PUNCT
ap-6861	11	3	ball	ball	NOUN
ap-6861	11	4	bearing	bearing	NOUN
ap-6861	11	5	,	,	PUNCT
ap-6861	11	6	point	point	NOUN
ap-6861	11	7	contact	contact	NOUN
ap-6861	11	8	,	,	PUNCT
ap-6861	11	9	roller	roller	NOUN
ap-6861	11	10	bearing	bearing	NOUN
ap-6861	11	11	,	,	PUNCT
ap-6861	11	12	line	line	NOUN
ap-6861	11	13	contact	contact	NOUN
ap-6861	11	14	,	,	PUNCT
ap-6861	11	15	contact	contact	NOUN
ap-6861	11	16	pressure	pressure	NOUN
ap-6861	11	17	,	,	PUNCT
ap-6861	11	18	von	von	PROPN
ap-6861	11	19	mises	mises	PROPN
ap-6861	11	20	stress	stress	VERB
ap-6861	11	21	.	.	PUNCT
ap-6861	12	1	1	1	X
ap-6861	12	2	.	.	X
ap-6861	12	3	introduction	introduction	NOUN
ap-6861	12	4	rolling	roll	VERB
ap-6861	12	5	bearings	bearing	NOUN
ap-6861	12	6	such	such	ADJ
ap-6861	12	7	as	as	ADP
ap-6861	12	8	ball	ball	NOUN
ap-6861	12	9	and	and	CCONJ
ap-6861	12	10	roller	roller	NOUN
ap-6861	12	11	bearings	bearing	NOUN
ap-6861	12	12	are	be	AUX
ap-6861	12	13	widely	widely	ADV
ap-6861	12	14	used	use	VERB
ap-6861	12	15	for	for	ADP
ap-6861	12	16	rotating	rotate	VERB
ap-6861	12	17	machines	machine	NOUN
ap-6861	12	18	in	in	ADP
ap-6861	12	19	industry	industry	NOUN
ap-6861	12	20	.	.	PUNCT
ap-6861	13	1	a	a	DET
ap-6861	13	2	surface	surface	NOUN
ap-6861	13	3	failure	failure	NOUN
ap-6861	13	4	can	can	AUX
ap-6861	13	5	occur	occur	VERB
ap-6861	13	6	during	during	ADP
ap-6861	13	7	point	point	NOUN
ap-6861	13	8	contact	contact	NOUN
ap-6861	13	9	in	in	ADP
ap-6861	13	10	ball	ball	NOUN
ap-6861	13	11	bearing	bear	VERB
ap-6861	13	12	applications	application	NOUN
ap-6861	13	13	.	.	PUNCT
ap-6861	14	1	point	point	NOUN
ap-6861	14	2	contact	contact	NOUN
ap-6861	14	3	results	result	NOUN
ap-6861	14	4	in	in	ADP
ap-6861	14	5	a	a	DET
ap-6861	14	6	contact	contact	NOUN
ap-6861	14	7	pressure	pressure	NOUN
ap-6861	14	8	and	and	CCONJ
ap-6861	14	9	contact	contact	NOUN
ap-6861	14	10	stress	stress	NOUN
ap-6861	14	11	between	between	ADP
ap-6861	14	12	two	two	NUM
ap-6861	14	13	spherical	spherical	ADJ
ap-6861	14	14	surfaces	surface	NOUN
ap-6861	14	15	.	.	PUNCT
ap-6861	15	1	similarly	similarly	ADV
ap-6861	15	2	,	,	PUNCT
ap-6861	15	3	the	the	DET
ap-6861	15	4	surface	surface	NOUN
ap-6861	15	5	failure	failure	NOUN
ap-6861	15	6	can	can	AUX
ap-6861	15	7	occur	occur	VERB
ap-6861	15	8	during	during	ADP
ap-6861	15	9	line	line	NOUN
ap-6861	15	10	contact	contact	NOUN
ap-6861	15	11	in	in	ADP
ap-6861	15	12	roller	roller	NOUN
ap-6861	15	13	bearing	bearing	NOUN
ap-6861	15	14	applications	application	NOUN
ap-6861	15	15	.	.	PUNCT
ap-6861	16	1	line	line	NOUN
ap-6861	16	2	contact	contact	NOUN
ap-6861	16	3	results	result	NOUN
ap-6861	16	4	in	in	ADP
ap-6861	16	5	a	a	DET
ap-6861	16	6	contact	contact	NOUN
ap-6861	16	7	pressure	pressure	NOUN
ap-6861	16	8	and	and	CCONJ
ap-6861	16	9	contact	contact	NOUN
ap-6861	16	10	stress	stress	NOUN
ap-6861	16	11	between	between	ADP
ap-6861	16	12	two	two	NUM
ap-6861	16	13	cylindrical	cylindrical	ADJ
ap-6861	16	14	surfaces	surface	NOUN
ap-6861	16	15	.	.	PUNCT
ap-6861	17	1	the	the	DET
ap-6861	17	2	purpose	purpose	NOUN
ap-6861	17	3	of	of	ADP
ap-6861	17	4	this	this	DET
ap-6861	17	5	study	study	NOUN
ap-6861	17	6	is	be	AUX
ap-6861	17	7	a	a	DET
ap-6861	17	8	theoretical	theoretical	ADJ
ap-6861	17	9	investigation	investigation	NOUN
ap-6861	17	10	of	of	ADP
ap-6861	17	11	the	the	DET
ap-6861	17	12	effects	effect	NOUN
ap-6861	17	13	of	of	ADP
ap-6861	17	14	design	design	NOUN
ap-6861	17	15	parameters	parameter	NOUN
ap-6861	17	16	on	on	ADP
ap-6861	17	17	static	static	ADJ
ap-6861	17	18	equivalent	equivalent	ADJ
ap-6861	17	19	stress	stress	NOUN
ap-6861	17	20	of	of	ADP
ap-6861	17	21	radial	radial	ADJ
ap-6861	17	22	rolling	rolling	ADJ
ap-6861	17	23	bearings	bearing	NOUN
ap-6861	17	24	,	,	PUNCT
ap-6861	17	25	such	such	ADJ
ap-6861	17	26	as	as	ADP
ap-6861	17	27	ball	ball	NOUN
ap-6861	17	28	bearings	bearing	NOUN
ap-6861	17	29	and	and	CCONJ
ap-6861	17	30	roller	roller	NOUN
ap-6861	17	31	bearing	bearing	NOUN
ap-6861	17	32	.	.	PUNCT
ap-6861	18	1	for	for	ADP
ap-6861	18	2	this	this	DET
ap-6861	18	3	purpose	purpose	NOUN
ap-6861	18	4	,	,	PUNCT
ap-6861	18	5	the	the	DET
ap-6861	18	6	maximum	maximum	ADJ
ap-6861	18	7	contact	contact	NOUN
ap-6861	18	8	pressure	pressure	NOUN
ap-6861	18	9	pmax	pmax	NOUN
ap-6861	18	10	and	and	CCONJ
ap-6861	18	11	von	von	PROPN
ap-6861	18	12	mises	mises	PROPN
ap-6861	18	13	effective	effective	ADJ
ap-6861	18	14	stress	stress	NOUN
ap-6861	18	15	are	be	AUX
ap-6861	18	16	calculated	calculate	VERB
ap-6861	18	17	with	with	ADP
ap-6861	18	18	respect	respect	NOUN
ap-6861	18	19	to	to	ADP
ap-6861	18	20	varying	vary	VERB
ap-6861	18	21	design	design	NOUN
ap-6861	18	22	parameters	parameter	NOUN
ap-6861	18	23	.	.	PUNCT
ap-6861	19	1	the	the	DET
ap-6861	19	2	following	follow	VERB
ap-6861	19	3	studies	study	NOUN
ap-6861	19	4	focused	focus	VERB
ap-6861	19	5	on	on	ADP
ap-6861	19	6	load	load	NOUN
ap-6861	19	7	carrying	carry	VERB
ap-6861	19	8	capacity	capacity	NOUN
ap-6861	19	9	and	and	CCONJ
ap-6861	19	10	fatigue	fatigue	NOUN
ap-6861	19	11	life	life	NOUN
ap-6861	19	12	of	of	ADP
ap-6861	19	13	rolling	rolling	ADJ
ap-6861	19	14	bearing	bearing	NOUN
ap-6861	19	15	,	,	PUNCT
ap-6861	19	16	based	base	VERB
ap-6861	19	17	on	on	ADP
ap-6861	19	18	hertzian	hertzian	ADJ
ap-6861	19	19	contact	contact	NOUN
ap-6861	19	20	stress	stress	NOUN
ap-6861	19	21	.	.	PUNCT
ap-6861	20	1	rolling	rolling	ADJ
ap-6861	20	2	contact	contact	NOUN
ap-6861	20	3	fatigue	fatigue	NOUN
ap-6861	20	4	results	result	NOUN
ap-6861	20	5	in	in	ADP
ap-6861	20	6	metallic	metallic	ADJ
ap-6861	20	7	particles	particle	NOUN
ap-6861	20	8	flaking	flake	VERB
ap-6861	20	9	from	from	ADP
ap-6861	20	10	the	the	DET
ap-6861	20	11	surface	surface	NOUN
ap-6861	20	12	of	of	ADP
ap-6861	20	13	the	the	DET
ap-6861	20	14	ball	ball	NOUN
ap-6861	20	15	and	and	CCONJ
ap-6861	20	16	rolling	rolling	ADJ
ap-6861	20	17	elements	element	NOUN
ap-6861	20	18	or	or	CCONJ
ap-6861	20	19	raceways	raceway	NOUN
ap-6861	20	20	.	.	PUNCT
ap-6861	21	1	neglecting	neglect	VERB
ap-6861	21	2	lubrication	lubrication	NOUN
ap-6861	21	3	effects	effect	NOUN
ap-6861	21	4	,	,	PUNCT
ap-6861	21	5	the	the	DET
ap-6861	21	6	stress	stress	NOUN
ap-6861	21	7	in	in	ADP
ap-6861	21	8	a	a	DET
ap-6861	21	9	bearing	bearing	NOUN
ap-6861	21	10	contact	contact	NOUN
ap-6861	21	11	is	be	AUX
ap-6861	21	12	governed	govern	VERB
ap-6861	21	13	by	by	ADP
ap-6861	21	14	the	the	DET
ap-6861	21	15	hertzian	hertzian	PROPN
ap-6861	21	16	theory	theory	NOUN
ap-6861	21	17	[	[	X
ap-6861	21	18	1	1	NUM
ap-6861	21	19	]	]	PUNCT
ap-6861	21	20	.	.	PUNCT
ap-6861	22	1	the	the	DET
ap-6861	22	2	calculation	calculation	NOUN
ap-6861	22	3	of	of	ADP
ap-6861	22	4	load	load	NOUN
ap-6861	22	5	carrying	carry	VERB
ap-6861	22	6	capacity	capacity	NOUN
ap-6861	22	7	of	of	ADP
ap-6861	22	8	standard	standard	ADJ
ap-6861	22	9	bearings	bearing	NOUN
ap-6861	22	10	is	be	AUX
ap-6861	22	11	widely	widely	ADV
ap-6861	22	12	known	know	VERB
ap-6861	22	13	and	and	CCONJ
ap-6861	22	14	standardized	standardize	VERB
ap-6861	22	15	by	by	ADP
ap-6861	22	16	standard	standard	ADJ
ap-6861	22	17	organizations	organization	NOUN
ap-6861	22	18	,	,	PUNCT
ap-6861	22	19	such	such	ADJ
ap-6861	22	20	as	as	ADP
ap-6861	22	21	iso	iso	NOUN
ap-6861	22	22	and	and	CCONJ
ap-6861	22	23	din	din	NOUN
ap-6861	22	24	,	,	PUNCT
ap-6861	22	25	and	and	CCONJ
ap-6861	22	26	it	it	PRON
ap-6861	22	27	is	be	AUX
ap-6861	22	28	based	base	VERB
ap-6861	22	29	on	on	ADP
ap-6861	22	30	the	the	DET
ap-6861	22	31	hertzian	hertzian	PROPN
ap-6861	22	32	theory	theory	NOUN
ap-6861	22	33	of	of	ADP
ap-6861	22	34	contact	contact	NOUN
ap-6861	22	35	[	[	X
ap-6861	22	36	2	2	NUM
ap-6861	22	37	]	]	PUNCT
ap-6861	22	38	.	.	PUNCT
ap-6861	23	1	the	the	DET
ap-6861	23	2	life	life	NOUN
ap-6861	23	3	of	of	ADP
ap-6861	23	4	a	a	DET
ap-6861	23	5	rolling	rolling	ADJ
ap-6861	23	6	bearing	bearing	NOUN
ap-6861	23	7	has	have	AUX
ap-6861	23	8	been	be	AUX
ap-6861	23	9	modelled	model	VERB
ap-6861	23	10	using	use	VERB
ap-6861	23	11	basic	basic	ADJ
ap-6861	23	12	principles	principle	NOUN
ap-6861	23	13	of	of	ADP
ap-6861	23	14	rolling	rolling	ADJ
ap-6861	23	15	contact	contact	NOUN
ap-6861	23	16	fatigue	fatigue	NOUN
ap-6861	23	17	based	base	VERB
ap-6861	23	18	on	on	ADP
ap-6861	23	19	an	an	DET
ap-6861	23	20	equivalent	equivalent	ADJ
ap-6861	23	21	stress	stress	NOUN
ap-6861	23	22	originating	originating	NOUN
ap-6861	23	23	beneath	beneath	ADP
ap-6861	23	24	the	the	DET
ap-6861	23	25	contacting	contact	VERB
ap-6861	23	26	surface	surface	NOUN
ap-6861	24	1	[	[	X
ap-6861	24	2	3	3	NUM
ap-6861	24	3	]	]	PUNCT
ap-6861	24	4	.	.	PUNCT
ap-6861	25	1	developed	develop	VERB
ap-6861	25	2	high	high	ADJ
ap-6861	25	3	-	-	PUNCT
ap-6861	25	4	speed	speed	NOUN
ap-6861	25	5	angular	angular	ADJ
ap-6861	25	6	contact	contact	NOUN
ap-6861	25	7	ball	ball	NOUN
ap-6861	25	8	bearing	bear	VERB
ap-6861	25	9	products	product	NOUN
ap-6861	25	10	feature	feature	VERB
ap-6861	25	11	improved	improve	VERB
ap-6861	25	12	internal	internal	ADJ
ap-6861	25	13	design	design	NOUN
ap-6861	25	14	,	,	PUNCT
ap-6861	25	15	including	include	VERB
ap-6861	25	16	rolling	roll	VERB
ap-6861	25	17	elements	element	NOUN
ap-6861	25	18	of	of	ADP
ap-6861	25	19	increased	increase	VERB
ap-6861	25	20	diameter	diameter	NOUN
ap-6861	25	21	.	.	PUNCT
ap-6861	26	1	thus	thus	ADV
ap-6861	26	2	,	,	PUNCT
ap-6861	26	3	the	the	DET
ap-6861	26	4	load	load	NOUN
ap-6861	26	5	rating	rating	NOUN
ap-6861	26	6	has	have	AUX
ap-6861	26	7	been	be	AUX
ap-6861	26	8	improved	improve	VERB
ap-6861	26	9	,	,	PUNCT
ap-6861	26	10	and	and	CCONJ
ap-6861	26	11	the	the	DET
ap-6861	26	12	allowable	allowable	ADJ
ap-6861	26	13	load	load	NOUN
ap-6861	26	14	has	have	AUX
ap-6861	26	15	been	be	AUX
ap-6861	26	16	increased	increase	VERB
ap-6861	26	17	[	[	PUNCT
ap-6861	26	18	4	4	NUM
ap-6861	26	19	]	]	PUNCT
ap-6861	26	20	.	.	PUNCT
ap-6861	27	1	point	point	NOUN
ap-6861	27	2	contact	contact	NOUN
ap-6861	27	3	for	for	ADP
ap-6861	27	4	ball	ball	NOUN
ap-6861	27	5	bearings	bearing	NOUN
ap-6861	27	6	application	application	NOUN
ap-6861	27	7	was	be	AUX
ap-6861	27	8	investigated	investigate	VERB
ap-6861	27	9	theoretically	theoretically	ADV
ap-6861	27	10	,	,	PUNCT
ap-6861	27	11	and	and	CCONJ
ap-6861	27	12	the	the	DET
ap-6861	27	13	effects	effect	NOUN
ap-6861	27	14	of	of	ADP
ap-6861	27	15	the	the	DET
ap-6861	27	16	ball	ball	NOUN
ap-6861	27	17	bearing	bearing	NOUN
ap-6861	27	18	’s	’s	PART
ap-6861	27	19	geometry	geometry	NOUN
ap-6861	27	20	and	and	CCONJ
ap-6861	27	21	material	material	NOUN
ap-6861	27	22	on	on	ADP
ap-6861	27	23	the	the	DET
ap-6861	27	24	ball	ball	NOUN
ap-6861	27	25	bearing	bear	VERB
ap-6861	27	26	stress	stress	NOUN
ap-6861	27	27	were	be	AUX
ap-6861	27	28	presented	present	VERB
ap-6861	27	29	.	.	PUNCT
ap-6861	28	1	increasing	increase	VERB
ap-6861	28	2	the	the	DET
ap-6861	28	3	ball	ball	NOUN
ap-6861	28	4	element	element	NOUN
ap-6861	28	5	’s	’s	PART
ap-6861	28	6	diameter	diameter	NOUN
ap-6861	28	7	results	result	NOUN
ap-6861	28	8	in	in	ADP
ap-6861	28	9	a	a	DET
ap-6861	28	10	reduced	reduce	VERB
ap-6861	28	11	ball	ball	NOUN
ap-6861	28	12	bearing	bear	VERB
ap-6861	28	13	stress	stress	NOUN
ap-6861	28	14	.	.	PUNCT
ap-6861	29	1	in	in	ADP
ap-6861	29	2	contrast	contrast	NOUN
ap-6861	29	3	,	,	PUNCT
ap-6861	29	4	the	the	DET
ap-6861	29	5	increasing	increase	VERB
ap-6861	29	6	elasticity	elasticity	NOUN
ap-6861	29	7	modulus	modulus	NOUN
ap-6861	29	8	results	result	NOUN
ap-6861	29	9	in	in	ADP
ap-6861	29	10	an	an	DET
ap-6861	29	11	increased	increase	VERB
ap-6861	29	12	ball	ball	NOUN
ap-6861	29	13	bearing	bear	VERB
ap-6861	29	14	stress	stress	NOUN
ap-6861	29	15	[	[	X
ap-6861	29	16	6	6	NUM
ap-6861	29	17	]	]	PUNCT
ap-6861	29	18	.	.	PUNCT
ap-6861	30	1	line	line	NOUN
ap-6861	30	2	contact	contact	NOUN
ap-6861	30	3	for	for	ADP
ap-6861	30	4	roller	roller	NOUN
ap-6861	30	5	bearings	bearing	NOUN
ap-6861	30	6	application	application	NOUN
ap-6861	30	7	was	be	AUX
ap-6861	30	8	investigated	investigate	VERB
ap-6861	30	9	theoretically	theoretically	ADV
ap-6861	30	10	,	,	PUNCT
ap-6861	30	11	and	and	CCONJ
ap-6861	30	12	the	the	DET
ap-6861	30	13	effects	effect	NOUN
ap-6861	30	14	of	of	ADP
ap-6861	30	15	the	the	DET
ap-6861	30	16	roller	roller	NOUN
ap-6861	30	17	bearing	bearing	NOUN
ap-6861	30	18	’s	’s	PART
ap-6861	30	19	geometry	geometry	NOUN
ap-6861	30	20	and	and	CCONJ
ap-6861	30	21	material	material	NOUN
ap-6861	30	22	on	on	ADP
ap-6861	30	23	the	the	DET
ap-6861	30	24	roller	roller	NOUN
ap-6861	30	25	bearing	bear	VERB
ap-6861	30	26	stress	stress	NOUN
ap-6861	30	27	were	be	AUX
ap-6861	30	28	presented	present	VERB
ap-6861	30	29	.	.	PUNCT
ap-6861	31	1	increasing	increase	VERB
ap-6861	31	2	the	the	DET
ap-6861	31	3	roller	roller	NOUN
ap-6861	31	4	element	element	NOUN
ap-6861	31	5	’s	’s	PART
ap-6861	31	6	diameter	diameter	NOUN
ap-6861	31	7	results	result	NOUN
ap-6861	31	8	in	in	ADP
ap-6861	31	9	a	a	DET
ap-6861	31	10	reduced	reduce	VERB
ap-6861	31	11	ball	ball	NOUN
ap-6861	31	12	bearing	bear	VERB
ap-6861	31	13	stress	stress	NOUN
ap-6861	31	14	.	.	PUNCT
ap-6861	32	1	however	however	ADV
ap-6861	32	2	,	,	PUNCT
ap-6861	32	3	increasing	increase	VERB
ap-6861	32	4	the	the	DET
ap-6861	32	5	elasticity	elasticity	NOUN
ap-6861	32	6	modulus	modulus	NOUN
ap-6861	32	7	of	of	ADP
ap-6861	32	8	the	the	DET
ap-6861	32	9	roller	roller	NOUN
ap-6861	32	10	elements	element	NOUN
ap-6861	32	11	results	result	VERB
ap-6861	32	12	in	in	ADP
ap-6861	32	13	an	an	DET
ap-6861	32	14	increased	increase	VERB
ap-6861	32	15	roller	roller	NOUN
ap-6861	32	16	bearing	bear	VERB
ap-6861	32	17	stress	stress	NOUN
ap-6861	32	18	[	[	X
ap-6861	32	19	7	7	NUM
ap-6861	32	20	]	]	PUNCT
ap-6861	32	21	.	.	PUNCT
ap-6861	33	1	the	the	DET
ap-6861	33	2	contact	contact	NOUN
ap-6861	33	3	stress	stress	NOUN
ap-6861	33	4	in	in	ADP
ap-6861	33	5	rolling	rolling	ADJ
ap-6861	33	6	bearings	bearing	NOUN
ap-6861	33	7	,	,	PUNCT
ap-6861	33	8	determined	determine	VERB
ap-6861	33	9	by	by	ADP
ap-6861	33	10	using	use	VERB
ap-6861	33	11	analytical	analytical	ADJ
ap-6861	33	12	and	and	CCONJ
ap-6861	33	13	numerical	numerical	ADJ
ap-6861	33	14	methods	method	NOUN
ap-6861	33	15	,	,	PUNCT
ap-6861	33	16	was	be	AUX
ap-6861	33	17	pre163	pre163	PROPN
ap-6861	33	18	https://doi.org/10.14311/ap.2021.61.0163	https://doi.org/10.14311/ap.2021.61.0163	PROPN
ap-6861	33	19	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-6861	33	20	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-6861	33	21	mehmet	mehmet	PROPN
ap-6861	33	22	bozca	bozca	PROPN
ap-6861	33	23	acta	acta	PROPN
ap-6861	33	24	polytechnica	polytechnica	PROPN
ap-6861	33	25	(	(	PUNCT
ap-6861	33	26	a	a	NOUN
ap-6861	33	27	)	)	PUNCT
ap-6861	33	28	.	.	PUNCT
ap-6861	34	1	3d	3d	NUM
ap-6861	34	2	distribution	distribution	NOUN
ap-6861	34	3	of	of	ADP
ap-6861	34	4	surface	surface	NOUN
ap-6861	34	5	pressure	pressure	NOUN
ap-6861	34	6	for	for	ADP
ap-6861	34	7	point	point	NOUN
ap-6861	34	8	contact	contact	NOUN
ap-6861	34	9	[	[	X
ap-6861	34	10	5	5	NUM
ap-6861	34	11	]	]	PUNCT
ap-6861	34	12	.	.	PUNCT
ap-6861	35	1	z	z	NOUN
ap-6861	36	1	x	x	PUNCT
ap-6861	36	2	z	z	PUNCT
ap-6861	36	3	y	y	PROPN
ap-6861	36	4	2b	2b	NUM
ap-6861	36	5	2	2	NUM
ap-6861	36	6	a	a	DET
ap-6861	36	7	f	f	PROPN
ap-6861	36	8	pmax	pmax	PROPN
ap-6861	36	9	f	f	PROPN
ap-6861	36	10	pmax	pmax	NOUN
ap-6861	36	11	2a	2a	NUM
ap-6861	36	12	2	2	NUM
ap-6861	36	13	b	b	PROPN
ap-6861	36	14	(	(	PUNCT
ap-6861	36	15	b	b	NOUN
ap-6861	36	16	)	)	PUNCT
ap-6861	36	17	.	.	PUNCT
ap-6861	37	1	2d	2d	NUM
ap-6861	37	2	distribution	distribution	NOUN
ap-6861	37	3	of	of	ADP
ap-6861	37	4	surface	surface	NOUN
ap-6861	37	5	pressure	pressure	NOUN
ap-6861	37	6	for	for	ADP
ap-6861	37	7	point	point	NOUN
ap-6861	37	8	contact	contact	NOUN
ap-6861	37	9	.	.	PUNCT
ap-6861	38	1	figure	figure	NOUN
ap-6861	38	2	1	1	NUM
ap-6861	38	3	.	.	NUM
ap-6861	38	4	sented	sente	VERB
ap-6861	38	5	.	.	PUNCT
ap-6861	39	1	the	the	DET
ap-6861	39	2	analytical	analytical	ADJ
ap-6861	39	3	solution	solution	NOUN
ap-6861	39	4	is	be	AUX
ap-6861	39	5	obtained	obtain	VERB
ap-6861	39	6	by	by	ADP
ap-6861	39	7	using	use	VERB
ap-6861	39	8	hertizan	hertizan	PROPN
ap-6861	39	9	contact	contact	NOUN
ap-6861	39	10	theory	theory	NOUN
ap-6861	39	11	.	.	PUNCT
ap-6861	40	1	the	the	DET
ap-6861	40	2	same	same	ADJ
ap-6861	40	3	problems	problem	NOUN
ap-6861	40	4	are	be	AUX
ap-6861	40	5	also	also	ADV
ap-6861	40	6	examined	examine	VERB
ap-6861	40	7	by	by	ADP
ap-6861	40	8	using	use	VERB
ap-6861	40	9	the	the	DET
ap-6861	40	10	finite	finite	ADJ
ap-6861	40	11	element	element	NOUN
ap-6861	40	12	method	method	NOUN
ap-6861	40	13	to	to	PART
ap-6861	40	14	examine	examine	VERB
ap-6861	40	15	the	the	DET
ap-6861	40	16	contact	contact	NOUN
ap-6861	40	17	analysis	analysis	NOUN
ap-6861	40	18	of	of	ADP
ap-6861	40	19	a	a	DET
ap-6861	40	20	rolling	rolling	ADJ
ap-6861	40	21	bearing	bearing	NOUN
ap-6861	40	22	.	.	PUNCT
ap-6861	41	1	the	the	DET
ap-6861	41	2	normal	normal	ADJ
ap-6861	41	3	and	and	CCONJ
ap-6861	41	4	tangential	tangential	ADJ
ap-6861	41	5	forces	force	NOUN
ap-6861	41	6	as	as	ADV
ap-6861	41	7	well	well	ADV
ap-6861	41	8	as	as	ADP
ap-6861	41	9	the	the	DET
ap-6861	41	10	rolling	rolling	ADJ
ap-6861	41	11	friction	friction	NOUN
ap-6861	41	12	between	between	ADP
ap-6861	41	13	mated	mated	ADJ
ap-6861	41	14	parts	part	NOUN
ap-6861	41	15	are	be	AUX
ap-6861	41	16	analysed	analyse	VERB
ap-6861	41	17	in	in	ADP
ap-6861	41	18	order	order	NOUN
ap-6861	41	19	to	to	PART
ap-6861	41	20	obtain	obtain	VERB
ap-6861	41	21	more	more	ADV
ap-6861	41	22	accurate	accurate	ADJ
ap-6861	41	23	results	result	NOUN
ap-6861	41	24	.	.	PUNCT
ap-6861	42	1	a	a	DET
ap-6861	42	2	numerical	numerical	ADJ
ap-6861	42	3	analysis	analysis	NOUN
ap-6861	42	4	of	of	ADP
ap-6861	42	5	contact	contact	NOUN
ap-6861	42	6	problems	problem	NOUN
ap-6861	42	7	by	by	ADP
ap-6861	42	8	computer	computer	NOUN
ap-6861	42	9	programs	program	NOUN
ap-6861	42	10	gives	give	VERB
ap-6861	42	11	more	more	ADV
ap-6861	42	12	accurate	accurate	ADJ
ap-6861	42	13	results	result	NOUN
ap-6861	42	14	[	[	X
ap-6861	42	15	8	8	NUM
ap-6861	42	16	]	]	PUNCT
ap-6861	42	17	.	.	PUNCT
ap-6861	43	1	the	the	DET
ap-6861	43	2	effect	effect	NOUN
ap-6861	43	3	of	of	ADP
ap-6861	43	4	the	the	DET
ap-6861	43	5	internal	internal	ADJ
ap-6861	43	6	radial	radial	ADJ
ap-6861	43	7	clearance	clearance	NOUN
ap-6861	43	8	on	on	ADP
ap-6861	43	9	the	the	DET
ap-6861	43	10	damping	damp	VERB
ap-6861	43	11	characteristics	characteristic	NOUN
ap-6861	43	12	,	,	PUNCT
ap-6861	43	13	natural	natural	ADJ
ap-6861	43	14	modes	mode	NOUN
ap-6861	43	15	of	of	ADP
ap-6861	43	16	vibration	vibration	NOUN
ap-6861	43	17	,	,	PUNCT
ap-6861	43	18	and	and	CCONJ
ap-6861	43	19	fatigue	fatigue	NOUN
ap-6861	43	20	life	life	NOUN
ap-6861	43	21	of	of	ADP
ap-6861	43	22	rolling	rolling	ADJ
ap-6861	43	23	element	element	NOUN
ap-6861	43	24	bearings	bearing	NOUN
ap-6861	43	25	was	be	AUX
ap-6861	43	26	studied	study	VERB
ap-6861	43	27	.	.	PUNCT
ap-6861	44	1	it	it	PRON
ap-6861	44	2	was	be	AUX
ap-6861	44	3	concluded	conclude	VERB
ap-6861	44	4	that	that	SCONJ
ap-6861	44	5	the	the	DET
ap-6861	44	6	experimental	experimental	ADJ
ap-6861	44	7	results	result	NOUN
ap-6861	44	8	showed	show	VERB
ap-6861	44	9	that	that	SCONJ
ap-6861	44	10	the	the	DET
ap-6861	44	11	bearing	bearing	NOUN
ap-6861	44	12	with	with	ADP
ap-6861	44	13	the	the	DET
ap-6861	44	14	largest	large	ADJ
ap-6861	44	15	radial	radial	ADJ
ap-6861	44	16	clearance	clearance	NOUN
ap-6861	44	17	had	have	VERB
ap-6861	44	18	the	the	DET
ap-6861	44	19	lowest	low	ADJ
ap-6861	44	20	damping	damp	VERB
ap-6861	44	21	ratio	ratio	NOUN
ap-6861	44	22	,	,	PUNCT
ap-6861	44	23	highest	high	ADJ
ap-6861	44	24	natural	natural	ADJ
ap-6861	44	25	frequency	frequency	NOUN
ap-6861	44	26	,	,	PUNCT
ap-6861	44	27	and	and	CCONJ
ap-6861	44	28	shortest	short	ADJ
ap-6861	44	29	bearing	bear	VERB
ap-6861	44	30	life	life	NOUN
ap-6861	45	1	[	[	X
ap-6861	45	2	9	9	NUM
ap-6861	45	3	]	]	PUNCT
ap-6861	45	4	.	.	PUNCT
ap-6861	46	1	the	the	DET
ap-6861	46	2	effect	effect	NOUN
ap-6861	46	3	of	of	ADP
ap-6861	46	4	the	the	DET
ap-6861	46	5	internal	internal	ADJ
ap-6861	46	6	clearance	clearance	NOUN
ap-6861	46	7	on	on	ADP
ap-6861	46	8	radially	radially	ADV
ap-6861	46	9	loaded	load	VERB
ap-6861	46	10	deep	deep	ADJ
ap-6861	46	11	groove	groove	NOUN
ap-6861	46	12	ball	ball	NOUN
ap-6861	46	13	and	and	CCONJ
ap-6861	46	14	cylindrical	cylindrical	ADJ
ap-6861	46	15	roller	roller	NOUN
ap-6861	46	16	bearing	bearing	NOUN
ap-6861	46	17	load	load	NOUN
ap-6861	46	18	distribution	distribution	NOUN
ap-6861	46	19	and	and	CCONJ
ap-6861	46	20	fatigue	fatigue	NOUN
ap-6861	46	21	life	life	NOUN
ap-6861	46	22	was	be	AUX
ap-6861	46	23	determined	determine	VERB
ap-6861	46	24	for	for	ADP
ap-6861	46	25	different	different	ADJ
ap-6861	46	26	clearance	clearance	NOUN
ap-6861	46	27	groups	group	NOUN
ap-6861	46	28	.	.	PUNCT
ap-6861	47	1	the	the	DET
ap-6861	47	2	analysis	analysis	NOUN
ap-6861	47	3	was	be	AUX
ap-6861	47	4	extended	extend	VERB
ap-6861	47	5	to	to	ADP
ap-6861	47	6	negative	negative	ADJ
ap-6861	47	7	clearance	clearance	NOUN
ap-6861	47	8	conditions	condition	NOUN
ap-6861	47	9	to	to	PART
ap-6861	47	10	produce	produce	VERB
ap-6861	47	11	a	a	DET
ap-6861	47	12	curve	curve	NOUN
ap-6861	47	13	of	of	ADP
ap-6861	47	14	the	the	DET
ap-6861	47	15	life	life	NOUN
ap-6861	47	16	factor	factor	NOUN
ap-6861	47	17	versus	versus	ADP
ap-6861	47	18	the	the	DET
ap-6861	47	19	internal	internal	ADJ
ap-6861	47	20	clearance	clearance	NOUN
ap-6861	47	21	.	.	PUNCT
ap-6861	48	1	it	it	PRON
ap-6861	48	2	was	be	AUX
ap-6861	48	3	concluded	conclude	VERB
ap-6861	48	4	that	that	SCONJ
ap-6861	48	5	rolling	roll	VERB
ap-6861	48	6	-	-	PUNCT
ap-6861	48	7	element	element	NOUN
ap-6861	48	8	loads	load	NOUN
ap-6861	48	9	can	can	AUX
ap-6861	48	10	be	be	AUX
ap-6861	48	11	optimized	optimize	VERB
ap-6861	48	12	and	and	CCONJ
ap-6861	48	13	bearing	bear	VERB
ap-6861	48	14	life	life	NOUN
ap-6861	48	15	maximized	maximize	VERB
ap-6861	48	16	for	for	ADP
ap-6861	48	17	a	a	DET
ap-6861	48	18	small	small	ADJ
ap-6861	48	19	negative	negative	ADJ
ap-6861	48	20	operating	operating	NOUN
ap-6861	48	21	clearance	clearance	NOUN
ap-6861	48	22	.	.	PUNCT
ap-6861	49	1	the	the	DET
ap-6861	49	2	life	life	NOUN
ap-6861	49	3	shortens	shorten	VERB
ap-6861	49	4	gradually	gradually	ADV
ap-6861	49	5	with	with	ADP
ap-6861	49	6	a	a	DET
ap-6861	49	7	positive	positive	ADJ
ap-6861	49	8	clearance	clearance	NOUN
ap-6861	49	9	and	and	CCONJ
ap-6861	49	10	rapidly	rapidly	ADV
ap-6861	49	11	with	with	ADP
ap-6861	49	12	an	an	DET
ap-6861	49	13	increasing	increase	VERB
ap-6861	49	14	negative	negative	ADJ
ap-6861	49	15	clearance	clearance	NOUN
ap-6861	49	16	[	[	X
ap-6861	49	17	10	10	NUM
ap-6861	49	18	]	]	PUNCT
ap-6861	49	19	.	.	PUNCT
ap-6861	50	1	an	an	DET
ap-6861	50	2	experimental	experimental	ADJ
ap-6861	50	3	procedure	procedure	NOUN
ap-6861	50	4	for	for	ADP
ap-6861	50	5	predicting	predict	VERB
ap-6861	50	6	the	the	DET
ap-6861	50	7	fatigue	fatigue	NOUN
ap-6861	50	8	life	life	NOUN
ap-6861	50	9	of	of	ADP
ap-6861	50	10	each	each	DET
ap-6861	50	11	individual	individual	ADJ
ap-6861	50	12	rolling	rolling	ADJ
ap-6861	50	13	element	element	NOUN
ap-6861	50	14	bearing	bear	VERB
ap-6861	50	15	separately	separately	ADV
ap-6861	50	16	using	use	VERB
ap-6861	50	17	a	a	DET
ap-6861	50	18	vibration	vibration	NOUN
ap-6861	50	19	modal	modal	NOUN
ap-6861	50	20	analysis	analysis	NOUN
ap-6861	50	21	was	be	AUX
ap-6861	50	22	presented	present	VERB
ap-6861	50	23	.	.	PUNCT
ap-6861	51	1	a	a	DET
ap-6861	51	2	statistical	statistical	ADJ
ap-6861	51	3	analysis	analysis	NOUN
ap-6861	51	4	was	be	AUX
ap-6861	51	5	performed	perform	VERB
ap-6861	51	6	to	to	PART
ap-6861	51	7	find	find	VERB
ap-6861	51	8	an	an	DET
ap-6861	51	9	empirical	empirical	ADJ
ap-6861	51	10	model	model	NOUN
ap-6861	51	11	that	that	PRON
ap-6861	51	12	correlates	correlate	VERB
ap-6861	51	13	the	the	DET
ap-6861	51	14	dynamic	dynamic	ADJ
ap-6861	51	15	load	load	NOUN
ap-6861	51	16	capacity	capacity	NOUN
ap-6861	51	17	of	of	ADP
ap-6861	51	18	rolling	rolling	ADJ
ap-6861	51	19	bearings	bearing	NOUN
ap-6861	51	20	to	to	ADP
ap-6861	51	21	their	their	PRON
ap-6861	51	22	dynamic	dynamic	ADJ
ap-6861	51	23	characteristics	characteristic	NOUN
ap-6861	51	24	such	such	ADJ
ap-6861	51	25	as	as	ADP
ap-6861	51	26	natural	natural	ADJ
ap-6861	51	27	frequencies	frequency	NOUN
ap-6861	51	28	and	and	CCONJ
ap-6861	51	29	damping	damp	VERB
ap-6861	51	30	.	.	PUNCT
ap-6861	52	1	a	a	DET
ap-6861	52	2	modified	modify	VERB
ap-6861	52	3	formula	formula	NOUN
ap-6861	52	4	to	to	ADP
ap-6861	52	5	the	the	DET
ap-6861	52	6	already	already	ADV
ap-6861	52	7	known	know	VERB
ap-6861	52	8	lundbergpalmgren	lundbergpalmgren	NOUN
ap-6861	52	9	life	life	NOUN
ap-6861	52	10	formula	formula	NOUN
ap-6861	52	11	is	be	AUX
ap-6861	52	12	proposed	propose	VERB
ap-6861	52	13	for	for	ADP
ap-6861	52	14	rolling	rolling	ADJ
ap-6861	52	15	element	element	NOUN
ap-6861	52	16	bearings	bearing	NOUN
ap-6861	52	17	.	.	PUNCT
ap-6861	53	1	given	give	VERB
ap-6861	53	2	the	the	DET
ap-6861	53	3	modified	modify	VERB
ap-6861	53	4	formula	formula	NOUN
ap-6861	53	5	,	,	PUNCT
ap-6861	53	6	one	one	PRON
ap-6861	53	7	can	can	AUX
ap-6861	53	8	predict	predict	VERB
ap-6861	53	9	the	the	DET
ap-6861	53	10	fatigue	fatigue	NOUN
ap-6861	53	11	life	life	NOUN
ap-6861	53	12	of	of	ADP
ap-6861	53	13	each	each	DET
ap-6861	53	14	individual	individual	ADJ
ap-6861	53	15	rolling	rolling	ADJ
ap-6861	53	16	element	element	NOUN
ap-6861	53	17	bearing	bearing	NOUN
ap-6861	53	18	based	base	VERB
ap-6861	53	19	on	on	ADP
ap-6861	53	20	its	its	PRON
ap-6861	53	21	dynamic	dynamic	ADJ
ap-6861	53	22	characteristics	characteristic	NOUN
ap-6861	53	23	[	[	X
ap-6861	53	24	11	11	NUM
ap-6861	53	25	]	]	PUNCT
ap-6861	53	26	.	.	PUNCT
ap-6861	54	1	an	an	DET
ap-6861	54	2	optimisation	optimisation	NOUN
ap-6861	54	3	algorithm	algorithm	NOUN
ap-6861	54	4	developed	develop	VERB
ap-6861	54	5	for	for	ADP
ap-6861	54	6	an	an	DET
ap-6861	54	7	optimal	optimal	ADJ
ap-6861	54	8	axial	axial	ADJ
ap-6861	54	9	preload	preload	NOUN
ap-6861	54	10	of	of	ADP
ap-6861	54	11	a	a	DET
ap-6861	54	12	rolling	rolling	ADJ
ap-6861	54	13	bearings	bearing	NOUN
ap-6861	54	14	system	system	NOUN
ap-6861	54	15	that	that	PRON
ap-6861	54	16	consists	consist	VERB
ap-6861	54	17	of	of	ADP
ap-6861	54	18	two	two	NUM
ap-6861	54	19	angular	angular	ADJ
ap-6861	54	20	contact	contact	NOUN
ap-6861	54	21	ball	ball	NOUN
ap-6861	54	22	bearings	bearing	NOUN
ap-6861	54	23	or	or	CCONJ
ap-6861	54	24	tapered	tapered	ADJ
ap-6861	54	25	bearings	bearing	NOUN
ap-6861	54	26	to	to	PART
ap-6861	54	27	maximize	maximize	VERB
ap-6861	54	28	the	the	DET
ap-6861	54	29	bearing	bearing	NOUN
ap-6861	54	30	’s	’s	PART
ap-6861	54	31	life	life	NOUN
ap-6861	54	32	.	.	PUNCT
ap-6861	55	1	the	the	DET
ap-6861	55	2	lundberg	lundberg	PROPN
ap-6861	55	3	and	and	CCONJ
ap-6861	55	4	palmgren	palmgren	PROPN
ap-6861	55	5	model	model	NOUN
ap-6861	55	6	is	be	AUX
ap-6861	55	7	used	use	VERB
ap-6861	55	8	to	to	PART
ap-6861	55	9	evaluate	evaluate	VERB
ap-6861	55	10	the	the	DET
ap-6861	55	11	rolling	rolling	ADJ
ap-6861	55	12	bearing	bearing	NOUN
ap-6861	55	13	’s	’s	PART
ap-6861	55	14	life	life	NOUN
ap-6861	55	15	.	.	PUNCT
ap-6861	56	1	it	it	PRON
ap-6861	56	2	was	be	AUX
ap-6861	56	3	concluded	conclude	VERB
ap-6861	56	4	that	that	SCONJ
ap-6861	56	5	using	use	VERB
ap-6861	56	6	the	the	DET
ap-6861	56	7	lundberg	lundberg	PROPN
ap-6861	56	8	and	and	CCONJ
ap-6861	56	9	palmgren	palmgren	PROPN
ap-6861	56	10	model	model	NOUN
ap-6861	56	11	,	,	PUNCT
ap-6861	56	12	it	it	PRON
ap-6861	56	13	is	be	AUX
ap-6861	56	14	obvious	obvious	ADJ
ap-6861	56	15	that	that	SCONJ
ap-6861	56	16	the	the	DET
ap-6861	56	17	axial	axial	ADJ
ap-6861	56	18	bearing	bearing	NOUN
ap-6861	56	19	preload	preload	NOUN
ap-6861	56	20	influences	influence	VERB
ap-6861	56	21	the	the	DET
ap-6861	56	22	bearing	bearing	NOUN
ap-6861	56	23	’s	’s	PART
ap-6861	56	24	fatigue	fatigue	NOUN
ap-6861	56	25	life	life	NOUN
ap-6861	56	26	and	and	CCONJ
ap-6861	56	27	the	the	DET
ap-6861	56	28	optimal	optimal	ADJ
ap-6861	56	29	preload	preload	NOUN
ap-6861	56	30	value	value	NOUN
ap-6861	56	31	can	can	AUX
ap-6861	56	32	be	be	AUX
ap-6861	56	33	determined	determine	VERB
ap-6861	56	34	[	[	X
ap-6861	56	35	12	12	NUM
ap-6861	56	36	]	]	PUNCT
ap-6861	56	37	.	.	PUNCT
ap-6861	57	1	2	2	X
ap-6861	57	2	.	.	X
ap-6861	57	3	contact	contact	NOUN
ap-6861	57	4	pressure	pressure	NOUN
ap-6861	57	5	and	and	CCONJ
ap-6861	57	6	stress	stress	NOUN
ap-6861	57	7	2.1	2.1	NUM
ap-6861	57	8	.	.	PUNCT
ap-6861	58	1	ball	ball	NOUN
ap-6861	58	2	bearing	bear	VERB
ap-6861	58	3	application	application	NOUN
ap-6861	58	4	for	for	ADP
ap-6861	58	5	the	the	DET
ap-6861	58	6	ball	ball	NOUN
ap-6861	58	7	bearing	bear	VERB
ap-6861	58	8	application	application	NOUN
ap-6861	58	9	case	case	NOUN
ap-6861	58	10	,	,	PUNCT
ap-6861	58	11	the	the	DET
ap-6861	58	12	point	point	NOUN
ap-6861	58	13	contact	contact	NOUN
ap-6861	58	14	pressure	pressure	NOUN
ap-6861	58	15	and	and	CCONJ
ap-6861	58	16	von	von	PROPN
ap-6861	58	17	mises	mises	PROPN
ap-6861	58	18	effective	effective	ADJ
ap-6861	58	19	stress	stress	NOUN
ap-6861	58	20	are	be	AUX
ap-6861	58	21	calculated	calculate	VERB
ap-6861	58	22	.	.	PUNCT
ap-6861	59	1	2.1.1	2.1.1	X
ap-6861	59	2	.	.	PUNCT
ap-6861	59	3	point	point	NOUN
ap-6861	59	4	contact	contact	NOUN
ap-6861	59	5	pressure	pressure	NOUN
ap-6861	59	6	the	the	DET
ap-6861	59	7	contact	contact	NOUN
ap-6861	59	8	pressure	pressure	NOUN
ap-6861	59	9	is	be	AUX
ap-6861	59	10	maximum	maximum	ADJ
ap-6861	59	11	pmax	pmax	NOUN
ap-6861	59	12	at	at	ADP
ap-6861	59	13	the	the	DET
ap-6861	59	14	centre	centre	NOUN
ap-6861	59	15	and	and	CCONJ
ap-6861	59	16	zero	zero	NUM
ap-6861	59	17	at	at	ADP
ap-6861	59	18	the	the	DET
ap-6861	59	19	edge	edge	NOUN
ap-6861	59	20	,	,	PUNCT
ap-6861	59	21	as	as	SCONJ
ap-6861	59	22	shown	show	VERB
ap-6861	59	23	in	in	ADP
ap-6861	59	24	figure	figure	NOUN
ap-6861	59	25	1a	1a	NOUN
ap-6861	59	26	and	and	CCONJ
ap-6861	59	27	figure	figure	VERB
ap-6861	59	28	1b	1b	NUM
ap-6861	59	29	.	.	PUNCT
ap-6861	60	1	the	the	DET
ap-6861	60	2	total	total	ADJ
ap-6861	60	3	applied	apply	VERB
ap-6861	60	4	load	load	NOUN
ap-6861	60	5	f	f	PROPN
ap-6861	60	6	on	on	ADP
ap-6861	60	7	the	the	DET
ap-6861	60	8	contact	contact	NOUN
ap-6861	60	9	patch	patch	NOUN
ap-6861	60	10	is	be	AUX
ap-6861	60	11	equal	equal	ADJ
ap-6861	60	12	to	to	ADP
ap-6861	60	13	the	the	DET
ap-6861	60	14	volume	volume	NOUN
ap-6861	60	15	of	of	ADP
ap-6861	60	16	the	the	DET
ap-6861	60	17	hemisphere	hemisphere	NOUN
ap-6861	60	18	.	.	PUNCT
ap-6861	61	1	the	the	DET
ap-6861	61	2	total	total	ADJ
ap-6861	61	3	applied	apply	VERB
ap-6861	61	4	load	load	NOUN
ap-6861	61	5	f	f	PROPN
ap-6861	61	6	is	be	AUX
ap-6861	61	7	written	write	VERB
ap-6861	61	8	as	as	SCONJ
ap-6861	61	9	follows	follow	VERB
ap-6861	61	10	[	[	X
ap-6861	61	11	5	5	NUM
ap-6861	61	12	,	,	PUNCT
ap-6861	61	13	13–17	13–17	NUM
ap-6861	61	14	]	]	PUNCT
ap-6861	61	15	:	:	PUNCT
ap-6861	61	16	f	f	X
ap-6861	61	17	=	=	SYM
ap-6861	61	18	2	2	NUM
ap-6861	61	19	3πa	3πa	NOUN
ap-6861	61	20	2pmax	2pmax	NUM
ap-6861	61	21	(	(	PUNCT
ap-6861	61	22	1	1	NUM
ap-6861	61	23	)	)	PUNCT
ap-6861	61	24	where	where	SCONJ
ap-6861	61	25	a	a	PRON
ap-6861	61	26	is	be	AUX
ap-6861	61	27	the	the	DET
ap-6861	61	28	half	half	ADJ
ap-6861	61	29	-	-	PUNCT
ap-6861	61	30	width	width	ADJ
ap-6861	61	31	(	(	PUNCT
ap-6861	61	32	radius	radius	NOUN
ap-6861	61	33	)	)	PUNCT
ap-6861	61	34	of	of	ADP
ap-6861	61	35	the	the	DET
ap-6861	61	36	contact	contact	NOUN
ap-6861	61	37	patch	patch	NOUN
ap-6861	61	38	as	as	SCONJ
ap-6861	61	39	shown	show	VERB
ap-6861	61	40	in	in	ADP
ap-6861	61	41	figure	figure	NOUN
ap-6861	61	42	1a	1a	NOUN
ap-6861	61	43	and	and	CCONJ
ap-6861	61	44	figure	figure	VERB
ap-6861	61	45	1b	1b	NUM
ap-6861	61	46	.	.	PUNCT
ap-6861	62	1	this	this	PRON
ap-6861	62	2	can	can	AUX
ap-6861	62	3	be	be	AUX
ap-6861	62	4	solved	solve	VERB
ap-6861	62	5	for	for	ADP
ap-6861	62	6	the	the	DET
ap-6861	62	7	maximum	maximum	ADJ
ap-6861	62	8	pressure	pressure	NOUN
ap-6861	62	9	:	:	PUNCT
ap-6861	62	10	pmax	pmax	NOUN
ap-6861	62	11	=	=	SYM
ap-6861	62	12	3	3	NUM
ap-6861	62	13	2	2	NUM
ap-6861	62	14	f	f	NOUN
ap-6861	62	15	πa2	πa2	X
ap-6861	62	16	(	(	PUNCT
ap-6861	62	17	2	2	NUM
ap-6861	62	18	)	)	PUNCT
ap-6861	62	19	the	the	DET
ap-6861	62	20	average	average	ADJ
ap-6861	62	21	pressure	pressure	NOUN
ap-6861	62	22	on	on	ADP
ap-6861	62	23	the	the	DET
ap-6861	62	24	contact	contact	NOUN
ap-6861	62	25	patch	patch	NOUN
ap-6861	62	26	is	be	AUX
ap-6861	62	27	the	the	DET
ap-6861	62	28	applied	apply	VERB
ap-6861	62	29	force	force	NOUN
ap-6861	62	30	divided	divide	VERB
ap-6861	62	31	by	by	ADP
ap-6861	62	32	its	its	PRON
ap-6861	62	33	area	area	NOUN
ap-6861	62	34	:	:	PUNCT
ap-6861	62	35	pavg	pavg	NOUN
ap-6861	62	36	=	=	SYM
ap-6861	62	37	f	f	PROPN
ap-6861	62	38	area	area	NOUN
ap-6861	62	39	=	=	SYM
ap-6861	62	40	f	f	X
ap-6861	62	41	πa2	πa2	X
ap-6861	62	42	(	(	PUNCT
ap-6861	62	43	3	3	NUM
ap-6861	62	44	)	)	PUNCT
ap-6861	62	45	then	then	ADV
ap-6861	62	46	,	,	PUNCT
ap-6861	62	47	the	the	DET
ap-6861	62	48	maximum	maximum	ADJ
ap-6861	62	49	pressure	pressure	NOUN
ap-6861	62	50	can	can	AUX
ap-6861	62	51	be	be	AUX
ap-6861	62	52	re	re	VERB
ap-6861	62	53	-	-	VERB
ap-6861	62	54	arranged	arranged	ADJ
ap-6861	62	55	as	as	SCONJ
ap-6861	62	56	follows	follow	VERB
ap-6861	62	57	:	:	PUNCT
ap-6861	62	58	pmax	pmax	ADJ
ap-6861	62	59	=	=	SYM
ap-6861	62	60	3	3	NUM
ap-6861	62	61	2pavg	2pavg	NUM
ap-6861	62	62	(	(	PUNCT
ap-6861	62	63	4	4	NUM
ap-6861	62	64	)	)	PUNCT
ap-6861	62	65	the	the	DET
ap-6861	62	66	material	material	NOUN
ap-6861	62	67	constants	constant	NOUN
ap-6861	62	68	m1	m1	PROPN
ap-6861	62	69	and	and	CCONJ
ap-6861	62	70	m2	m2	PROPN
ap-6861	62	71	for	for	ADP
ap-6861	62	72	the	the	DET
ap-6861	62	73	two	two	NUM
ap-6861	62	74	spheres	sphere	NOUN
ap-6861	62	75	are	be	AUX
ap-6861	62	76	defined	define	VERB
ap-6861	62	77	as	as	SCONJ
ap-6861	62	78	follows	follow	VERB
ap-6861	62	79	:	:	PUNCT
ap-6861	62	80	m1	m1	PROPN
ap-6861	62	81	=	=	SYM
ap-6861	62	82	1−	1−	NUM
ap-6861	62	83	ν2	ν2	NOUN
ap-6861	62	84	1	1	NUM
ap-6861	62	85	e1	e1	PROPN
ap-6861	62	86	(	(	PUNCT
ap-6861	62	87	5	5	NUM
ap-6861	62	88	)	)	PUNCT
ap-6861	62	89	and	and	CCONJ
ap-6861	62	90	m2	m2	PROPN
ap-6861	62	91	=	=	PROPN
ap-6861	62	92	1−	1−	NUM
ap-6861	62	93	ν2	ν2	PROPN
ap-6861	62	94	2	2	NUM
ap-6861	62	95	e2	e2	NOUN
ap-6861	62	96	(	(	PUNCT
ap-6861	62	97	6	6	NUM
ap-6861	62	98	)	)	PUNCT
ap-6861	62	99	where	where	SCONJ
ap-6861	62	100	ν1	ν1	NOUN
ap-6861	62	101	,	,	PUNCT
ap-6861	62	102	ν2	ν2	NOUN
ap-6861	62	103	are	be	AUX
ap-6861	62	104	the	the	DET
ap-6861	62	105	poisson	poisson	NOUN
ap-6861	62	106	’s	’s	PART
ap-6861	62	107	ratios	ratio	NOUN
ap-6861	62	108	,	,	PUNCT
ap-6861	62	109	and	and	CCONJ
ap-6861	62	110	e1	e1	PROPN
ap-6861	62	111	,	,	PUNCT
ap-6861	62	112	e2	e2	PROPN
ap-6861	62	113	are	be	AUX
ap-6861	62	114	the	the	DET
ap-6861	62	115	young	young	ADJ
ap-6861	62	116	’s	’s	PART
ap-6861	62	117	moduli	modulus	NOUN
ap-6861	62	118	for	for	ADP
ap-6861	62	119	the	the	DET
ap-6861	62	120	materials	material	NOUN
ap-6861	62	121	.	.	PUNCT
ap-6861	63	1	164	164	NUM
ap-6861	63	2	vol	vol	NOUN
ap-6861	63	3	.	.	PUNCT
ap-6861	64	1	61	61	NUM
ap-6861	64	2	no	no	NOUN
ap-6861	64	3	.	.	PUNCT
ap-6861	65	1	1/2021	1/2021	NUM
ap-6861	65	2	effects	effect	NOUN
ap-6861	65	3	of	of	ADP
ap-6861	65	4	design	design	NOUN
ap-6861	65	5	parameters	parameter	NOUN
ap-6861	65	6	on	on	ADP
ap-6861	65	7	static	static	ADJ
ap-6861	65	8	equivalent	equivalent	ADJ
ap-6861	65	9	stress	stress	NOUN
ap-6861	65	10	.	.	PUNCT
ap-6861	65	11	.	.	PUNCT
ap-6861	65	12	.	.	PUNCT
ap-6861	66	1	(	(	PUNCT
ap-6861	66	2	a	a	X
ap-6861	66	3	)	)	PUNCT
ap-6861	66	4	.	.	PUNCT
ap-6861	67	1	3d	3d	NUM
ap-6861	67	2	distribution	distribution	NOUN
ap-6861	67	3	of	of	ADP
ap-6861	67	4	surface	surface	NOUN
ap-6861	67	5	pressure	pressure	NOUN
ap-6861	67	6	for	for	ADP
ap-6861	67	7	line	line	NOUN
ap-6861	67	8	contact	contact	NOUN
ap-6861	67	9	[	[	X
ap-6861	67	10	5	5	NUM
ap-6861	67	11	]	]	PUNCT
ap-6861	67	12	.	.	PUNCT
ap-6861	68	1	x	x	PUNCT
ap-6861	68	2	y	y	PROPN
ap-6861	68	3	z	z	PROPN
ap-6861	68	4	z	z	PROPN
ap-6861	68	5	pmax	pmax	NOUN
ap-6861	68	6	ff	ff	PROPN
ap-6861	68	7	pmax	pmax	X
ap-6861	68	8	l	l	PROPN
ap-6861	68	9	l	l	NOUN
ap-6861	68	10	2	2	NUM
ap-6861	68	11	b	b	X
ap-6861	68	12	2b	2b	NUM
ap-6861	68	13	(	(	PUNCT
ap-6861	68	14	b	b	NOUN
ap-6861	68	15	)	)	PUNCT
ap-6861	68	16	.	.	PUNCT
ap-6861	69	1	2d	2d	NUM
ap-6861	69	2	distribution	distribution	NOUN
ap-6861	69	3	of	of	ADP
ap-6861	69	4	surface	surface	NOUN
ap-6861	69	5	pressure	pressure	NOUN
ap-6861	69	6	for	for	ADP
ap-6861	69	7	line	line	NOUN
ap-6861	69	8	contact	contact	NOUN
ap-6861	69	9	.	.	PUNCT
ap-6861	70	1	figure	figure	NOUN
ap-6861	70	2	2	2	NUM
ap-6861	70	3	.	.	PUNCT
ap-6861	71	1	a	a	DET
ap-6861	71	2	geometry	geometry	NOUN
ap-6861	71	3	constant	constant	ADJ
ap-6861	71	4	<	<	X
ap-6861	71	5	that	that	PRON
ap-6861	71	6	depends	depend	VERB
ap-6861	71	7	only	only	ADV
ap-6861	71	8	on	on	ADP
ap-6861	71	9	the	the	DET
ap-6861	71	10	radii	radii	NOUN
ap-6861	71	11	r1	r1	NOUN
ap-6861	71	12	and	and	CCONJ
ap-6861	71	13	r2	r2	PROPN
ap-6861	71	14	of	of	ADP
ap-6861	71	15	the	the	DET
ap-6861	71	16	two	two	NUM
ap-6861	71	17	spheres	sphere	NOUN
ap-6861	71	18	can	can	AUX
ap-6861	71	19	be	be	AUX
ap-6861	71	20	defined	define	VERB
ap-6861	71	21	as	as	SCONJ
ap-6861	71	22	follows	follow	VERB
ap-6861	71	23	:	:	PUNCT
ap-6861	71	24	<	<	X
ap-6861	71	25	=	=	SYM
ap-6861	71	26	1	1	NUM
ap-6861	71	27	2	2	NUM
ap-6861	71	28	å	å	PROPN
ap-6861	71	29	1	1	NUM
ap-6861	71	30	r1	r1	NOUN
ap-6861	71	31	+	+	CCONJ
ap-6861	71	32	1	1	NUM
ap-6861	71	33	r2	r2	NOUN
ap-6861	71	34	ã	ã	X
ap-6861	71	35	(	(	PUNCT
ap-6861	71	36	7	7	NUM
ap-6861	71	37	)	)	PUNCT
ap-6861	71	38	the	the	DET
ap-6861	71	39	contact	contact	NOUN
ap-6861	71	40	-	-	PUNCT
ap-6861	71	41	patch	patch	NOUN
ap-6861	71	42	radius	radius	NOUN
ap-6861	71	43	a	a	NOUN
ap-6861	71	44	is	be	AUX
ap-6861	71	45	then	then	ADV
ap-6861	71	46	found	find	VERB
ap-6861	71	47	from	from	ADP
ap-6861	71	48	a	a	DET
ap-6861	71	49	=	=	SYM
ap-6861	71	50	π	π	SYM
ap-6861	71	51	4	4	NUM
ap-6861	71	52	pmax	pmax	NOUN
ap-6861	71	53	(	(	PUNCT
ap-6861	71	54	m1	m1	PROPN
ap-6861	72	1	+	+	PROPN
ap-6861	72	2	m2	m2	PROPN
ap-6861	72	3	<	<	X
ap-6861	72	4	)	)	PUNCT
ap-6861	72	5	(	(	PUNCT
ap-6861	72	6	8)	8)	NUM
ap-6861	72	7	by	by	ADP
ap-6861	72	8	substituting	substitute	VERB
ap-6861	72	9	equation	equation	NOUN
ap-6861	72	10	(	(	PUNCT
ap-6861	72	11	2	2	NUM
ap-6861	72	12	)	)	PUNCT
ap-6861	72	13	in	in	ADP
ap-6861	72	14	equation	equation	NOUN
ap-6861	72	15	(	(	PUNCT
ap-6861	72	16	8)	8)	NUM
ap-6861	72	17	,	,	PUNCT
ap-6861	72	18	equation	equation	NOUN
ap-6861	72	19	(	(	PUNCT
ap-6861	72	20	9	9	NUM
ap-6861	72	21	)	)	PUNCT
ap-6861	72	22	is	be	AUX
ap-6861	72	23	written	write	VERB
ap-6861	72	24	as	as	SCONJ
ap-6861	72	25	follows	follow	VERB
ap-6861	72	26	:	:	PUNCT
ap-6861	72	27	a	a	PRON
ap-6861	72	28	=	=	SYM
ap-6861	72	29	3	3	NUM
ap-6861	72	30	…	…	PUNCT
ap-6861	72	31	0.375	0.375	NUM
ap-6861	72	32	(	(	PUNCT
ap-6861	72	33	m1	m1	PROPN
ap-6861	72	34	+	+	PROPN
ap-6861	72	35	m2	m2	PROPN
ap-6861	72	36	<	<	X
ap-6861	72	37	)	)	PUNCT
ap-6861	72	38	f	f	PROPN
ap-6861	72	39	(	(	PUNCT
ap-6861	72	40	9	9	NUM
ap-6861	72	41	)	)	PUNCT
ap-6861	72	42	the	the	DET
ap-6861	72	43	pressure	pressure	NOUN
ap-6861	72	44	distribution	distribution	NOUN
ap-6861	72	45	within	within	ADP
ap-6861	72	46	the	the	DET
ap-6861	72	47	hemisphere	hemisphere	NOUN
ap-6861	72	48	is	be	AUX
ap-6861	72	49	p	p	NOUN
ap-6861	72	50	=	=	NOUN
ap-6861	72	51	pmax	pmax	NOUN
ap-6861	72	52	…	…	PUNCT
ap-6861	72	53	1−	1−	NUM
ap-6861	72	54	x2	x2	PROPN
ap-6861	72	55	a2	a2	PROPN
ap-6861	72	56	−	−	PROPN
ap-6861	72	57	y2	y2	PROPN
ap-6861	72	58	a2	a2	PROPN
ap-6861	72	59	(	(	PUNCT
ap-6861	72	60	10	10	NUM
ap-6861	72	61	)	)	PUNCT
ap-6861	72	62	2.1.2	2.1.2	NUM
ap-6861	72	63	.	.	NOUN
ap-6861	72	64	point	point	NOUN
ap-6861	72	65	contact	contact	NOUN
ap-6861	72	66	stress	stress	VERB
ap-6861	72	67	the	the	DET
ap-6861	72	68	stresses	stress	NOUN
ap-6861	72	69	that	that	PRON
ap-6861	72	70	are	be	AUX
ap-6861	72	71	maximal	maximal	ADJ
ap-6861	72	72	at	at	ADP
ap-6861	72	73	the	the	DET
ap-6861	72	74	surface	surface	NOUN
ap-6861	72	75	at	at	ADP
ap-6861	72	76	which	which	PRON
ap-6861	72	77	z	z	NOUN
ap-6861	72	78	=	=	SYM
ap-6861	72	79	0	0	NUM
ap-6861	72	80	are	be	AUX
ap-6861	72	81	written	write	VERB
ap-6861	72	82	as	as	SCONJ
ap-6861	72	83	follows	follow	VERB
ap-6861	72	84	[	[	X
ap-6861	72	85	5	5	NUM
ap-6861	72	86	,	,	PUNCT
ap-6861	72	87	13–17	13–17	NUM
ap-6861	72	88	]	]	PUNCT
ap-6861	72	89	:	:	PUNCT
ap-6861	72	90	σz	σz	PART
ap-6861	72	91	max	max	PROPN
ap-6861	73	1	=	=	PUNCT
ap-6861	73	2	−pmax	−pmax	PROPN
ap-6861	73	3	(	(	PUNCT
ap-6861	73	4	11	11	NUM
ap-6861	73	5	)	)	PUNCT
ap-6861	73	6	σx	σx	ADP
ap-6861	73	7	max	max	PROPN
ap-6861	73	8	=	=	SYM
ap-6861	73	9	σy	σy	PROPN
ap-6861	73	10	max	max	PROPN
ap-6861	73	11	=	=	SYM
ap-6861	73	12	−	−	PROPN
ap-6861	73	13	å1	å1	NOUN
ap-6861	73	14	+	+	CCONJ
ap-6861	73	15	2ν	2ν	NUM
ap-6861	73	16	2	2	NUM
ap-6861	73	17	ã	ã	NOUN
ap-6861	73	18	pmax	pmax	NOUN
ap-6861	73	19	(	(	PUNCT
ap-6861	73	20	12	12	NUM
ap-6861	73	21	)	)	PUNCT
ap-6861	73	22	τxy	τxy	NOUN
ap-6861	73	23	=	=	PUNCT
ap-6861	73	24	å1	å1	PROPN
ap-6861	74	1	+	+	CCONJ
ap-6861	74	2	2ν	2ν	NUM
ap-6861	74	3	3	3	NUM
ap-6861	74	4	ã	ã	NOUN
ap-6861	74	5	pmax	pmax	NOUN
ap-6861	74	6	(	(	PUNCT
ap-6861	74	7	13	13	NUM
ap-6861	74	8	)	)	PUNCT
ap-6861	74	9	2.1.3	2.1.3	NUM
ap-6861	74	10	.	.	PUNCT
ap-6861	75	1	von	von	PROPN
ap-6861	75	2	mises	mises	PROPN
ap-6861	75	3	effective	effective	ADJ
ap-6861	75	4	stress	stress	NOUN
ap-6861	75	5	von	von	PROPN
ap-6861	75	6	mises	mises	PROPN
ap-6861	75	7	effective	effective	ADJ
ap-6861	75	8	stress	stress	NOUN
ap-6861	75	9	is	be	AUX
ap-6861	75	10	written	write	VERB
ap-6861	75	11	according	accord	VERB
ap-6861	75	12	to	to	ADP
ap-6861	75	13	the	the	DET
ap-6861	75	14	applied	apply	VERB
ap-6861	75	15	stresses	stress	NOUN
ap-6861	75	16	as	as	SCONJ
ap-6861	75	17	follows	follow	VERB
ap-6861	75	18	[	[	X
ap-6861	75	19	5	5	NUM
ap-6861	75	20	,	,	PUNCT
ap-6861	75	21	13–17	13–17	NUM
ap-6861	75	22	]	]	PUNCT
ap-6861	75	23	:	:	PUNCT
ap-6861	75	24	σv	σv	PROPN
ap-6861	75	25	m	m	NOUN
ap-6861	75	26	=	=	SYM
ap-6861	75	27	1√	1√	NUM
ap-6861	75	28	2	2	NUM
ap-6861	75	29	»	»	PUNCT
ap-6861	75	30	(	(	PUNCT
ap-6861	75	31	σx	σx	NOUN
ap-6861	75	32	−	−	ADP
ap-6861	75	33	σy)2	σy)2	NOUN
ap-6861	75	34	+	+	CCONJ
ap-6861	75	35	(	(	PUNCT
ap-6861	75	36	σy	σy	NOUN
ap-6861	75	37	−	−	PROPN
ap-6861	75	38	σz)2	σz)2	NOUN
ap-6861	75	39	+	+	CCONJ
ap-6861	75	40	(	(	PUNCT
ap-6861	75	41	σz	σz	ADP
ap-6861	75	42	−	−	NOUN
ap-6861	75	43	σx)2	σx)2	NOUN
ap-6861	75	44	+	+	CCONJ
ap-6861	75	45	6	6	NUM
ap-6861	75	46	(	(	PUNCT
ap-6861	75	47	τ2	τ2	NOUN
ap-6861	75	48	xy	xy	X
ap-6861	76	1	+	+	PUNCT
ap-6861	76	2	τ2	τ2	PROPN
ap-6861	76	3	yz	yz	NOUN
ap-6861	76	4	+	+	CCONJ
ap-6861	76	5	τ2	τ2	PROPN
ap-6861	76	6	zx	zx	PROPN
ap-6861	76	7	)	)	PUNCT
ap-6861	76	8	(	(	PUNCT
ap-6861	76	9	14	14	NUM
ap-6861	76	10	)	)	PUNCT
ap-6861	76	11	a	a	DET
ap-6861	76	12	stress	stress	NOUN
ap-6861	76	13	-	-	PUNCT
ap-6861	76	14	based	base	VERB
ap-6861	76	15	failure	failure	NOUN
ap-6861	76	16	criterion	criterion	NOUN
ap-6861	76	17	for	for	ADP
ap-6861	76	18	a	a	DET
ap-6861	76	19	static	static	ADJ
ap-6861	76	20	loading	loading	NOUN
ap-6861	76	21	condition	condition	NOUN
ap-6861	76	22	is	be	AUX
ap-6861	76	23	considered	consider	VERB
ap-6861	76	24	during	during	ADP
ap-6861	76	25	the	the	DET
ap-6861	76	26	design	design	NOUN
ap-6861	76	27	stage	stage	NOUN
ap-6861	76	28	as	as	SCONJ
ap-6861	76	29	follows	follow	VERB
ap-6861	76	30	:	:	PUNCT
ap-6861	76	31	σv	σv	PROPN
ap-6861	76	32	m	m	NOUN
ap-6861	76	33	≤	≤	ADJ
ap-6861	76	34	sy	sy	PROPN
ap-6861	76	35	(	(	PUNCT
ap-6861	76	36	15	15	NUM
ap-6861	76	37	)	)	PUNCT
ap-6861	76	38	where	where	SCONJ
ap-6861	76	39	sy	sy	PROPN
ap-6861	76	40	is	be	AUX
ap-6861	76	41	the	the	DET
ap-6861	76	42	yield	yield	NOUN
ap-6861	76	43	strength	strength	NOUN
ap-6861	76	44	of	of	ADP
ap-6861	76	45	the	the	DET
ap-6861	76	46	bearing	bearing	NOUN
ap-6861	76	47	material	material	NOUN
ap-6861	76	48	.	.	PUNCT
ap-6861	77	1	the	the	DET
ap-6861	77	2	yield	yield	NOUN
ap-6861	77	3	strength	strength	NOUN
ap-6861	77	4	point	point	NOUN
ap-6861	77	5	is	be	AUX
ap-6861	77	6	considered	consider	VERB
ap-6861	77	7	as	as	ADP
ap-6861	77	8	the	the	DET
ap-6861	77	9	failure	failure	NOUN
ap-6861	77	10	limit	limit	NOUN
ap-6861	77	11	during	during	ADP
ap-6861	77	12	static	static	ADJ
ap-6861	77	13	loading	loading	NOUN
ap-6861	77	14	conditions	condition	NOUN
ap-6861	77	15	.	.	PUNCT
ap-6861	78	1	2.2	2.2	NUM
ap-6861	78	2	.	.	PUNCT
ap-6861	78	3	roller	roller	NOUN
ap-6861	78	4	bearing	bear	VERB
ap-6861	78	5	application	application	NOUN
ap-6861	78	6	for	for	ADP
ap-6861	78	7	the	the	DET
ap-6861	78	8	roller	roller	NOUN
ap-6861	78	9	bearing	bear	VERB
ap-6861	78	10	application	application	NOUN
ap-6861	78	11	case	case	NOUN
ap-6861	78	12	,	,	PUNCT
ap-6861	78	13	the	the	DET
ap-6861	78	14	line	line	NOUN
ap-6861	78	15	contact	contact	NOUN
ap-6861	78	16	pressure	pressure	NOUN
ap-6861	78	17	and	and	CCONJ
ap-6861	78	18	von	von	PROPN
ap-6861	78	19	mises	mises	PROPN
ap-6861	78	20	effective	effective	ADJ
ap-6861	78	21	stress	stress	NOUN
ap-6861	78	22	are	be	AUX
ap-6861	78	23	calculated	calculate	VERB
ap-6861	78	24	.	.	PUNCT
ap-6861	79	1	2.2.1	2.2.1	NUM
ap-6861	79	2	.	.	PUNCT
ap-6861	79	3	line	line	NOUN
ap-6861	79	4	contact	contact	NOUN
ap-6861	79	5	pressure	pressure	NOUN
ap-6861	79	6	the	the	DET
ap-6861	79	7	contact	contact	NOUN
ap-6861	79	8	pressure	pressure	NOUN
ap-6861	79	9	is	be	AUX
ap-6861	79	10	maximum	maximum	ADJ
ap-6861	79	11	pmax	pmax	NOUN
ap-6861	79	12	at	at	ADP
ap-6861	79	13	the	the	DET
ap-6861	79	14	centre	centre	NOUN
ap-6861	79	15	and	and	CCONJ
ap-6861	79	16	zero	zero	NUM
ap-6861	79	17	at	at	ADP
ap-6861	79	18	the	the	DET
ap-6861	79	19	edges	edge	NOUN
ap-6861	79	20	,	,	PUNCT
ap-6861	79	21	as	as	SCONJ
ap-6861	79	22	shown	show	VERB
ap-6861	79	23	in	in	ADP
ap-6861	79	24	figure	figure	NOUN
ap-6861	79	25	2a	2a	NUM
ap-6861	79	26	and	and	CCONJ
ap-6861	79	27	figure	figure	NOUN
ap-6861	79	28	2b	2b	NOUN
ap-6861	79	29	.	.	PUNCT
ap-6861	80	1	the	the	DET
ap-6861	80	2	applied	apply	VERB
ap-6861	80	3	load	load	NOUN
ap-6861	80	4	f	f	PROPN
ap-6861	80	5	on	on	ADP
ap-6861	80	6	the	the	DET
ap-6861	80	7	contact	contact	NOUN
ap-6861	80	8	patch	patch	NOUN
ap-6861	80	9	is	be	AUX
ap-6861	80	10	equal	equal	ADJ
ap-6861	80	11	to	to	ADP
ap-6861	80	12	the	the	DET
ap-6861	80	13	volume	volume	NOUN
ap-6861	80	14	of	of	ADP
ap-6861	80	15	the	the	DET
ap-6861	80	16	half	half	ADJ
ap-6861	80	17	-	-	PUNCT
ap-6861	80	18	prism	prism	NOUN
ap-6861	80	19	[	[	X
ap-6861	80	20	5	5	NUM
ap-6861	80	21	,	,	PUNCT
ap-6861	80	22	13–17	13–17	NUM
ap-6861	80	23	]	]	PUNCT
ap-6861	80	24	.	.	PUNCT
ap-6861	81	1	f	f	X
ap-6861	81	2	=	=	SYM
ap-6861	81	3	1	1	NUM
ap-6861	81	4	2πalpmax	2πalpmax	NUM
ap-6861	81	5	(	(	PUNCT
ap-6861	81	6	16	16	NUM
ap-6861	81	7	)	)	PUNCT
ap-6861	81	8	where	where	SCONJ
ap-6861	81	9	f	f	PROPN
ap-6861	81	10	is	be	AUX
ap-6861	81	11	the	the	DET
ap-6861	81	12	total	total	ADJ
ap-6861	81	13	applied	apply	VERB
ap-6861	81	14	load	load	NOUN
ap-6861	81	15	and	and	CCONJ
ap-6861	81	16	l	l	NOUN
ap-6861	81	17	is	be	AUX
ap-6861	81	18	the	the	DET
ap-6861	81	19	length	length	NOUN
ap-6861	81	20	of	of	ADP
ap-6861	81	21	the	the	DET
ap-6861	81	22	contact	contact	NOUN
ap-6861	81	23	along	along	ADP
ap-6861	81	24	the	the	DET
ap-6861	81	25	cylinder	cylinder	NOUN
ap-6861	81	26	axis	axis	NOUN
ap-6861	81	27	as	as	SCONJ
ap-6861	81	28	shown	show	VERB
ap-6861	81	29	in	in	ADP
ap-6861	81	30	figure	figure	NOUN
ap-6861	81	31	2a	2a	NUM
ap-6861	81	32	and	and	CCONJ
ap-6861	81	33	figure	figure	NOUN
ap-6861	81	34	2b	2b	NOUN
ap-6861	81	35	.	.	PUNCT
ap-6861	82	1	this	this	PRON
ap-6861	82	2	can	can	AUX
ap-6861	82	3	be	be	AUX
ap-6861	82	4	solved	solve	VERB
ap-6861	82	5	for	for	ADP
ap-6861	82	6	the	the	DET
ap-6861	82	7	maximum	maximum	ADJ
ap-6861	82	8	pressure	pressure	NOUN
ap-6861	82	9	:	:	PUNCT
ap-6861	82	10	pmax	pmax	ADJ
ap-6861	82	11	=	=	SYM
ap-6861	82	12	2f	2f	NUM
ap-6861	82	13	πal	πal	NOUN
ap-6861	82	14	(	(	PUNCT
ap-6861	82	15	17	17	NUM
ap-6861	82	16	)	)	PUNCT
ap-6861	82	17	the	the	DET
ap-6861	82	18	average	average	ADJ
ap-6861	82	19	pressure	pressure	NOUN
ap-6861	82	20	is	be	AUX
ap-6861	82	21	the	the	DET
ap-6861	82	22	applied	apply	VERB
ap-6861	82	23	force	force	NOUN
ap-6861	82	24	divided	divide	VERB
ap-6861	82	25	by	by	ADP
ap-6861	82	26	the	the	DET
ap-6861	82	27	contact	contact	NOUN
ap-6861	82	28	-	-	PUNCT
ap-6861	82	29	patch	patch	NOUN
ap-6861	82	30	area	area	NOUN
ap-6861	82	31	:	:	PUNCT
ap-6861	82	32	pavg	pavg	NOUN
ap-6861	82	33	=	=	SYM
ap-6861	82	34	f	f	PROPN
ap-6861	82	35	area	area	NOUN
ap-6861	83	1	=	=	SYM
ap-6861	83	2	f	f	X
ap-6861	83	3	2al	2al	NOUN
ap-6861	83	4	(	(	PUNCT
ap-6861	83	5	18	18	NUM
ap-6861	83	6	)	)	PUNCT
ap-6861	83	7	the	the	DET
ap-6861	83	8	applied	apply	VERB
ap-6861	83	9	force	force	NOUN
ap-6861	83	10	can	can	AUX
ap-6861	83	11	be	be	AUX
ap-6861	83	12	written	write	VERB
ap-6861	83	13	as	as	ADP
ap-6861	83	14	a	a	DET
ap-6861	83	15	function	function	NOUN
ap-6861	83	16	of	of	ADP
ap-6861	83	17	the	the	DET
ap-6861	83	18	average	average	ADJ
ap-6861	83	19	pressure	pressure	NOUN
ap-6861	83	20	:	:	PUNCT
ap-6861	83	21	f	f	PROPN
ap-6861	83	22	=	=	SYM
ap-6861	83	23	2al(pavg	2al(pavg	NUM
ap-6861	83	24	)	)	PUNCT
ap-6861	83	25	(	(	PUNCT
ap-6861	83	26	19	19	NUM
ap-6861	83	27	)	)	PUNCT
ap-6861	83	28	then	then	ADV
ap-6861	83	29	,	,	PUNCT
ap-6861	83	30	the	the	DET
ap-6861	83	31	maximum	maximum	ADJ
ap-6861	83	32	pressure	pressure	NOUN
ap-6861	83	33	can	can	AUX
ap-6861	83	34	be	be	AUX
ap-6861	83	35	re	re	VERB
ap-6861	83	36	-	-	VERB
ap-6861	83	37	arranged	arranged	ADJ
ap-6861	83	38	as	as	SCONJ
ap-6861	83	39	follows	follow	VERB
ap-6861	83	40	:	:	PUNCT
ap-6861	84	1	pmax	pmax	ADJ
ap-6861	84	2	=	=	SYM
ap-6861	84	3	4	4	NUM
ap-6861	84	4	π	π	NOUN
ap-6861	84	5	pavg	pavg	NOUN
ap-6861	84	6	≈	≈	PROPN
ap-6861	84	7	1.273pavg	1.273pavg	NUM
ap-6861	84	8	(	(	PUNCT
ap-6861	84	9	20	20	NUM
ap-6861	84	10	)	)	PUNCT
ap-6861	84	11	we	we	PRON
ap-6861	84	12	now	now	ADV
ap-6861	84	13	define	define	VERB
ap-6861	84	14	a	a	DET
ap-6861	84	15	cylindrical	cylindrical	ADJ
ap-6861	84	16	geometry	geometry	NOUN
ap-6861	84	17	constant	constant	ADJ
ap-6861	84	18	<	<	X
ap-6861	84	19	that	that	PRON
ap-6861	84	20	depends	depend	VERB
ap-6861	84	21	on	on	ADP
ap-6861	84	22	the	the	DET
ap-6861	84	23	radii	radii	NOUN
ap-6861	84	24	r1	r1	NOUN
ap-6861	84	25	and	and	CCONJ
ap-6861	84	26	r2	r2	PROPN
ap-6861	84	27	of	of	ADP
ap-6861	84	28	the	the	DET
ap-6861	84	29	two	two	NUM
ap-6861	84	30	cylinders	cylinder	NOUN
ap-6861	84	31	:	:	PUNCT
ap-6861	84	32	<	<	X
ap-6861	84	33	=	=	SYM
ap-6861	84	34	1	1	NUM
ap-6861	84	35	2	2	NUM
ap-6861	84	36	å	å	PROPN
ap-6861	84	37	1	1	NUM
ap-6861	84	38	r1	r1	NOUN
ap-6861	84	39	+	+	CCONJ
ap-6861	84	40	1	1	NUM
ap-6861	84	41	r2	r2	NOUN
ap-6861	84	42	ã	ã	X
ap-6861	84	43	(	(	PUNCT
ap-6861	84	44	21	21	NUM
ap-6861	84	45	)	)	PUNCT
ap-6861	84	46	the	the	DET
ap-6861	84	47	contact	contact	NOUN
ap-6861	84	48	-	-	PUNCT
ap-6861	84	49	patch	patch	NOUN
ap-6861	84	50	half	half	NOUN
ap-6861	84	51	width	width	NOUN
ap-6861	84	52	a	a	PRON
ap-6861	84	53	is	be	AUX
ap-6861	84	54	then	then	ADV
ap-6861	84	55	found	find	VERB
ap-6861	84	56	from	from	ADP
ap-6861	84	57	a	a	PRON
ap-6861	85	1	=	=	SYM
ap-6861	85	2	…	…	PUNCT
ap-6861	85	3	2	2	NUM
ap-6861	85	4	π	π	NOUN
ap-6861	85	5	m1	m1	PROPN
ap-6861	86	1	+	+	PROPN
ap-6861	86	2	m2	m2	PROPN
ap-6861	86	3	<	<	X
ap-6861	86	4	f	f	PROPN
ap-6861	86	5	l	l	NOUN
ap-6861	86	6	(	(	PUNCT
ap-6861	86	7	22	22	NUM
ap-6861	86	8	)	)	PUNCT
ap-6861	86	9	where	where	SCONJ
ap-6861	86	10	m1	m1	PROPN
ap-6861	86	11	and	and	CCONJ
ap-6861	86	12	m2	m2	PROPN
ap-6861	86	13	are	be	AUX
ap-6861	86	14	material	material	NOUN
ap-6861	86	15	constants	constant	NOUN
ap-6861	86	16	defined	define	VERB
ap-6861	86	17	in	in	ADP
ap-6861	86	18	the	the	DET
ap-6861	86	19	following	follow	VERB
ap-6861	86	20	equations	equation	NOUN
ap-6861	86	21	:	:	PUNCT
ap-6861	86	22	m1	m1	PROPN
ap-6861	86	23	=	=	SYM
ap-6861	86	24	1−	1−	NUM
ap-6861	86	25	ν2	ν2	NOUN
ap-6861	86	26	1	1	NUM
ap-6861	86	27	e1	e1	PROPN
ap-6861	86	28	(	(	PUNCT
ap-6861	86	29	23	23	NUM
ap-6861	86	30	)	)	SYM
ap-6861	86	31	165	165	NUM
ap-6861	86	32	mehmet	mehmet	PROPN
ap-6861	86	33	bozca	bozca	PROPN
ap-6861	86	34	acta	acta	PROPN
ap-6861	86	35	polytechnica	polytechnica	PROPN
ap-6861	86	36	and	and	CCONJ
ap-6861	86	37	m2	m2	PROPN
ap-6861	86	38	=	=	PROPN
ap-6861	86	39	1−	1−	NUM
ap-6861	86	40	ν2	ν2	PROPN
ap-6861	86	41	2	2	NUM
ap-6861	86	42	e2	e2	NOUN
ap-6861	86	43	(	(	PUNCT
ap-6861	86	44	24	24	NUM
ap-6861	86	45	)	)	PUNCT
ap-6861	86	46	where	where	SCONJ
ap-6861	86	47	ν1	ν1	NOUN
ap-6861	86	48	,	,	PUNCT
ap-6861	86	49	ν2	ν2	NOUN
ap-6861	86	50	are	be	AUX
ap-6861	86	51	the	the	DET
ap-6861	86	52	poisson	poisson	NOUN
ap-6861	86	53	’s	’s	PART
ap-6861	86	54	ratios	ratio	NOUN
ap-6861	86	55	and	and	CCONJ
ap-6861	86	56	e1	e1	NOUN
ap-6861	86	57	,	,	PUNCT
ap-6861	86	58	e2	e2	PROPN
ap-6861	86	59	are	be	AUX
ap-6861	86	60	the	the	DET
ap-6861	86	61	young	young	ADJ
ap-6861	86	62	’s	’s	PART
ap-6861	86	63	moduli	modulus	NOUN
ap-6861	86	64	for	for	ADP
ap-6861	86	65	the	the	DET
ap-6861	86	66	materials	material	NOUN
ap-6861	86	67	.	.	PUNCT
ap-6861	87	1	the	the	DET
ap-6861	87	2	pressure	pressure	NOUN
ap-6861	87	3	distribution	distribution	NOUN
ap-6861	87	4	within	within	ADP
ap-6861	87	5	the	the	DET
ap-6861	87	6	semi	semi	ADJ
ap-6861	87	7	-	-	ADJ
ap-6861	87	8	elliptical	elliptical	ADJ
ap-6861	87	9	prism	prism	NOUN
ap-6861	87	10	is	be	AUX
ap-6861	87	11	p	p	NOUN
ap-6861	87	12	=	=	NOUN
ap-6861	87	13	pmax	pmax	NOUN
ap-6861	87	14	…	…	PUNCT
ap-6861	87	15	1−	1−	NUM
ap-6861	87	16	x2	x2	PROPN
ap-6861	87	17	a2	a2	PROPN
ap-6861	87	18	(	(	PUNCT
ap-6861	87	19	25	25	NUM
ap-6861	87	20	)	)	PUNCT
ap-6861	87	21	2.2.2	2.2.2	NUM
ap-6861	87	22	.	.	PUNCT
ap-6861	88	1	line	line	NOUN
ap-6861	88	2	contact	contact	NOUN
ap-6861	88	3	stress	stress	VERB
ap-6861	88	4	the	the	DET
ap-6861	88	5	stresses	stress	NOUN
ap-6861	88	6	due	due	ADP
ap-6861	88	7	to	to	ADP
ap-6861	88	8	the	the	DET
ap-6861	88	9	normal	normal	ADJ
ap-6861	88	10	loading	loading	NOUN
ap-6861	88	11	pmax	pmax	NOUN
ap-6861	88	12	are	be	AUX
ap-6861	88	13	written	write	VERB
ap-6861	88	14	as	as	SCONJ
ap-6861	88	15	follows	follow	VERB
ap-6861	88	16	[	[	X
ap-6861	88	17	5	5	NUM
ap-6861	88	18	,	,	PUNCT
ap-6861	88	19	13–17	13–17	NUM
ap-6861	88	20	]	]	PUNCT
ap-6861	88	21	:	:	PUNCT
ap-6861	88	22	σxn	σxn	PROPN
ap-6861	88	23	=	=	SYM
ap-6861	88	24	−pmax	−pmax	X
ap-6861	88	25	…	…	PUNCT
ap-6861	88	26	1−	1−	NUM
ap-6861	88	27	x2	x2	PROPN
ap-6861	88	28	a2	a2	PROPN
ap-6861	88	29	(	(	PUNCT
ap-6861	88	30	26	26	NUM
ap-6861	88	31	)	)	PUNCT
ap-6861	88	32	σzn	σzn	NOUN
ap-6861	88	33	=	=	SYM
ap-6861	88	34	−pmax	−pmax	PROPN
ap-6861	88	35	…	…	PUNCT
ap-6861	88	36	1−	1−	NUM
ap-6861	88	37	x2	x2	PROPN
ap-6861	88	38	a2	a2	PROPN
ap-6861	88	39	(	(	PUNCT
ap-6861	88	40	27	27	NUM
ap-6861	88	41	)	)	PUNCT
ap-6861	88	42	τxzn	τxzn	VERB
ap-6861	88	43	=	=	PUNCT
ap-6861	88	44	0	0	NUM
ap-6861	88	45	(	(	PUNCT
ap-6861	88	46	28	28	NUM
ap-6861	88	47	)	)	PUNCT
ap-6861	88	48	2.2.3	2.2.3	NUM
ap-6861	88	49	.	.	PUNCT
ap-6861	89	1	von	von	PROPN
ap-6861	89	2	mises	mises	PROPN
ap-6861	89	3	effective	effective	ADJ
ap-6861	89	4	stress	stress	NOUN
ap-6861	89	5	von	von	PROPN
ap-6861	89	6	mises	mises	PROPN
ap-6861	89	7	effective	effective	ADJ
ap-6861	89	8	stress	stress	NOUN
ap-6861	90	1	is	be	AUX
ap-6861	90	2	written	write	VERB
ap-6861	90	3	according	accord	VERB
ap-6861	90	4	to	to	ADP
ap-6861	90	5	the	the	DET
ap-6861	90	6	applied	apply	VERB
ap-6861	90	7	stresses	stress	NOUN
ap-6861	90	8	as	as	SCONJ
ap-6861	90	9	follows	follow	VERB
ap-6861	90	10	[	[	X
ap-6861	90	11	5	5	NUM
ap-6861	90	12	,	,	PUNCT
ap-6861	90	13	13–17	13–17	NUM
ap-6861	90	14	]	]	PUNCT
ap-6861	90	15	:	:	PUNCT
ap-6861	90	16	σv	σv	PROPN
ap-6861	90	17	m	m	NOUN
ap-6861	90	18	=	=	NOUN
ap-6861	90	19	√	√	PROPN
ap-6861	90	20	σ2	σ2	NOUN
ap-6861	90	21	x	x	PUNCT
ap-6861	91	1	+	+	PUNCT
ap-6861	91	2	σ2	σ2	PROPN
ap-6861	91	3	z	z	PROPN
ap-6861	91	4	−	−	PROPN
ap-6861	91	5	σxσz	σxσz	PROPN
ap-6861	92	1	+	+	CCONJ
ap-6861	92	2	3τ2	3τ2	NUM
ap-6861	92	3	xz	xz	NOUN
ap-6861	92	4	(	(	PUNCT
ap-6861	92	5	29	29	NUM
ap-6861	92	6	)	)	PUNCT
ap-6861	92	7	a	a	DET
ap-6861	92	8	stress	stress	NOUN
ap-6861	92	9	-	-	PUNCT
ap-6861	92	10	based	base	VERB
ap-6861	92	11	failure	failure	NOUN
ap-6861	92	12	criterion	criterion	NOUN
ap-6861	92	13	for	for	ADP
ap-6861	92	14	static	static	ADJ
ap-6861	92	15	loading	loading	NOUN
ap-6861	92	16	conditions	condition	NOUN
ap-6861	92	17	is	be	AUX
ap-6861	92	18	considered	consider	VERB
ap-6861	92	19	during	during	ADP
ap-6861	92	20	the	the	DET
ap-6861	92	21	design	design	NOUN
ap-6861	92	22	stage	stage	NOUN
ap-6861	92	23	as	as	SCONJ
ap-6861	92	24	follows	follow	VERB
ap-6861	92	25	:	:	PUNCT
ap-6861	92	26	σv	σv	PROPN
ap-6861	92	27	m	m	NOUN
ap-6861	92	28	≤	≤	ADJ
ap-6861	92	29	sy	sy	PROPN
ap-6861	92	30	(	(	PUNCT
ap-6861	92	31	30	30	NUM
ap-6861	92	32	)	)	PUNCT
ap-6861	92	33	where	where	SCONJ
ap-6861	92	34	sy	sy	PROPN
ap-6861	92	35	is	be	AUX
ap-6861	92	36	yield	yield	VERB
ap-6861	92	37	strength	strength	NOUN
ap-6861	92	38	of	of	ADP
ap-6861	92	39	the	the	DET
ap-6861	92	40	bearing	bearing	NOUN
ap-6861	92	41	material	material	NOUN
ap-6861	92	42	.	.	PUNCT
ap-6861	93	1	the	the	DET
ap-6861	93	2	yield	yield	NOUN
ap-6861	93	3	strength	strength	NOUN
ap-6861	93	4	point	point	NOUN
ap-6861	93	5	is	be	AUX
ap-6861	93	6	considered	consider	VERB
ap-6861	93	7	as	as	ADP
ap-6861	93	8	the	the	DET
ap-6861	93	9	failure	failure	NOUN
ap-6861	93	10	limit	limit	NOUN
ap-6861	93	11	during	during	ADP
ap-6861	93	12	the	the	DET
ap-6861	93	13	static	static	ADJ
ap-6861	93	14	loading	loading	NOUN
ap-6861	93	15	condition	condition	NOUN
ap-6861	93	16	.	.	PUNCT
ap-6861	94	1	3	3	X
ap-6861	94	2	.	.	X
ap-6861	94	3	numerical	numerical	PROPN
ap-6861	94	4	results	result	NOUN
ap-6861	94	5	a	a	DET
ap-6861	94	6	radial	radial	ADJ
ap-6861	94	7	ball	ball	NOUN
ap-6861	94	8	bearing	bearing	NOUN
ap-6861	94	9	and	and	CCONJ
ap-6861	94	10	a	a	DET
ap-6861	94	11	radial	radial	ADJ
ap-6861	94	12	roller	roller	NOUN
ap-6861	94	13	bearing	bearing	NOUN
ap-6861	94	14	are	be	AUX
ap-6861	94	15	considered	consider	VERB
ap-6861	94	16	in	in	ADP
ap-6861	94	17	the	the	DET
ap-6861	94	18	numerical	numerical	ADJ
ap-6861	94	19	examples	example	NOUN
ap-6861	94	20	.	.	PUNCT
ap-6861	95	1	the	the	DET
ap-6861	95	2	contact	contact	NOUN
ap-6861	95	3	pressure	pressure	NOUN
ap-6861	95	4	,	,	PUNCT
ap-6861	95	5	contact	contact	NOUN
ap-6861	95	6	area	area	NOUN
ap-6861	95	7	and	and	CCONJ
ap-6861	95	8	von	von	PROPN
ap-6861	95	9	misses	miss	VERB
ap-6861	95	10	stress	stress	NOUN
ap-6861	95	11	of	of	ADP
ap-6861	95	12	bearings	bearing	NOUN
ap-6861	95	13	are	be	AUX
ap-6861	95	14	calculated	calculate	VERB
ap-6861	95	15	based	base	VERB
ap-6861	95	16	on	on	ADP
ap-6861	95	17	geometrical	geometrical	ADJ
ap-6861	95	18	parameters	parameter	NOUN
ap-6861	95	19	,	,	PUNCT
ap-6861	95	20	material	material	NOUN
ap-6861	95	21	parameters	parameter	NOUN
ap-6861	95	22	and	and	CCONJ
ap-6861	95	23	loading	loading	NOUN
ap-6861	95	24	parameters	parameter	NOUN
ap-6861	95	25	by	by	ADP
ap-6861	95	26	using	use	VERB
ap-6861	95	27	matlab	matlab	PROPN
ap-6861	95	28	program	program	NOUN
ap-6861	95	29	.	.	PUNCT
ap-6861	96	1	a	a	DET
ap-6861	96	2	flow	flow	NOUN
ap-6861	96	3	chart	chart	NOUN
ap-6861	96	4	of	of	ADP
ap-6861	96	5	the	the	DET
ap-6861	96	6	calculation	calculation	NOUN
ap-6861	96	7	algorithm	algorithm	NOUN
ap-6861	96	8	is	be	AUX
ap-6861	96	9	shown	show	VERB
ap-6861	96	10	in	in	ADP
ap-6861	96	11	figure	figure	NOUN
ap-6861	96	12	3	3	NUM
ap-6861	96	13	.	.	PROPN
ap-6861	96	14	3.1	3.1	NUM
ap-6861	96	15	.	.	PUNCT
ap-6861	96	16	example	example	NOUN
ap-6861	96	17	of	of	ADP
ap-6861	96	18	ball	ball	NOUN
ap-6861	96	19	bearing	bear	VERB
ap-6861	96	20	application	application	NOUN
ap-6861	96	21	in	in	ADP
ap-6861	96	22	the	the	DET
ap-6861	96	23	numerical	numerical	ADJ
ap-6861	96	24	example	example	NOUN
ap-6861	96	25	for	for	ADP
ap-6861	96	26	a	a	DET
ap-6861	96	27	ball	ball	NOUN
ap-6861	96	28	bearing	bearing	NOUN
ap-6861	96	29	shown	show	VERB
ap-6861	96	30	in	in	ADP
ap-6861	96	31	figure	figure	NOUN
ap-6861	96	32	4	4	NUM
ap-6861	96	33	,	,	PUNCT
ap-6861	96	34	the	the	DET
ap-6861	96	35	maximum	maximum	ADJ
ap-6861	96	36	contact	contact	NOUN
ap-6861	96	37	pressure	pressure	NOUN
ap-6861	96	38	and	and	CCONJ
ap-6861	96	39	von	von	PROPN
ap-6861	96	40	mises	mises	PROPN
ap-6861	96	41	stress	stress	NOUN
ap-6861	96	42	are	be	AUX
ap-6861	96	43	simulated	simulate	VERB
ap-6861	96	44	by	by	ADP
ap-6861	96	45	varying	vary	VERB
ap-6861	96	46	the	the	DET
ap-6861	96	47	radius	radius	NOUN
ap-6861	96	48	and	and	CCONJ
ap-6861	96	49	elasticity	elasticity	NOUN
ap-6861	96	50	modulus	modulus	NOUN
ap-6861	96	51	of	of	ADP
ap-6861	96	52	the	the	DET
ap-6861	96	53	ball	ball	NOUN
ap-6861	96	54	element	element	NOUN
ap-6861	96	55	.	.	PUNCT
ap-6861	97	1	the	the	DET
ap-6861	97	2	results	result	NOUN
ap-6861	97	3	of	of	ADP
ap-6861	97	4	the	the	DET
ap-6861	97	5	simulation	simulation	NOUN
ap-6861	97	6	for	for	ADP
ap-6861	97	7	a	a	DET
ap-6861	97	8	varying	vary	VERB
ap-6861	97	9	radius	radius	NOUN
ap-6861	97	10	of	of	ADP
ap-6861	97	11	the	the	DET
ap-6861	97	12	ball	ball	NOUN
ap-6861	97	13	element	element	NOUN
ap-6861	97	14	are	be	AUX
ap-6861	97	15	reported	report	VERB
ap-6861	97	16	in	in	ADP
ap-6861	97	17	table	table	NOUN
ap-6861	97	18	1	1	NUM
ap-6861	97	19	.	.	PUNCT
ap-6861	97	20	increasing	increase	VERB
ap-6861	97	21	the	the	DET
ap-6861	97	22	radius	radius	NOUN
ap-6861	97	23	of	of	ADP
ap-6861	97	24	the	the	DET
ap-6861	97	25	ball	ball	NOUN
ap-6861	97	26	element	element	NOUN
ap-6861	97	27	r1	r1	PROPN
ap-6861	97	28	results	result	NOUN
ap-6861	97	29	in	in	ADP
ap-6861	97	30	an	an	DET
ap-6861	97	31	increased	increase	VERB
ap-6861	97	32	contact	contact	NOUN
ap-6861	97	33	area	area	NOUN
ap-6861	97	34	a	a	ADV
ap-6861	97	35	,	,	PUNCT
ap-6861	97	36	as	as	SCONJ
ap-6861	97	37	shown	show	VERB
ap-6861	97	38	in	in	ADP
ap-6861	97	39	figure	figure	NOUN
ap-6861	97	40	5	5	NUM
ap-6861	97	41	.	.	PUNCT
ap-6861	97	42	increasing	increase	VERB
ap-6861	97	43	the	the	DET
ap-6861	97	44	radius	radius	NOUN
ap-6861	97	45	of	of	ADP
ap-6861	97	46	the	the	DET
ap-6861	97	47	ball	ball	NOUN
ap-6861	97	48	element	element	NOUN
ap-6861	97	49	results	result	VERB
ap-6861	97	50	in	in	ADP
ap-6861	97	51	a	a	DET
ap-6861	97	52	reduced	reduced	ADJ
ap-6861	97	53	maximum	maximum	ADJ
ap-6861	97	54	contact	contact	NOUN
ap-6861	97	55	pressure	pressure	NOUN
ap-6861	97	56	pmax	pmax	NOUN
ap-6861	97	57	,	,	PUNCT
ap-6861	97	58	as	as	SCONJ
ap-6861	97	59	shown	show	VERB
ap-6861	97	60	in	in	ADP
ap-6861	97	61	figure	figure	NOUN
ap-6861	97	62	6	6	NUM
ap-6861	97	63	.	.	PUNCT
ap-6861	97	64	increasing	increase	VERB
ap-6861	97	65	the	the	DET
ap-6861	97	66	radius	radius	NOUN
ap-6861	97	67	of	of	ADP
ap-6861	97	68	the	the	DET
ap-6861	97	69	ball	ball	NOUN
ap-6861	97	70	element	element	NOUN
ap-6861	97	71	results	result	VERB
ap-6861	97	72	in	in	ADP
ap-6861	97	73	a	a	DET
ap-6861	97	74	reduced	reduced	ADJ
ap-6861	97	75	von	von	PROPN
ap-6861	97	76	mises	mises	PROPN
ap-6861	97	77	stress	stress	VERB
ap-6861	97	78	σv	σv	ADP
ap-6861	97	79	m	m	PRON
ap-6861	97	80	,	,	PUNCT
ap-6861	97	81	as	as	SCONJ
ap-6861	97	82	shown	show	VERB
ap-6861	97	83	in	in	ADP
ap-6861	97	84	figure	figure	NOUN
ap-6861	97	85	7	7	NUM
ap-6861	97	86	.	.	NOUN
ap-6861	97	87	calculate	calculate	NOUN
ap-6861	97	88	input	input	NOUN
ap-6861	97	89	r	r	NOUN
ap-6861	97	90	,	,	PUNCT
ap-6861	97	91	l	l	NOUN
ap-6861	97	92	,	,	PUNCT
ap-6861	97	93	e	e	NOUN
ap-6861	97	94	,	,	PUNCT
ap-6861	97	95	f	f	PROPN
ap-6861	97	96	contact	contact	NOUN
ap-6861	97	97	pressure	pressure	NOUN
ap-6861	97	98	pmax	pmax	ADJ
ap-6861	97	99	contact	contact	NOUN
ap-6861	97	100	area	area	NOUN
ap-6861	97	101	a	a	DET
ap-6861	97	102	von	von	NOUN
ap-6861	97	103	misses	miss	VERB
ap-6861	97	104	stress	stress	NOUN
ap-6861	97	105	σvm	σvm	PROPN
ap-6861	98	1	yes	yes	INTJ
ap-6861	98	2	no	no	DET
ap-6861	98	3	design	design	NOUN
ap-6861	98	4	is	be	AUX
ap-6861	98	5	significant	significant	ADJ
ap-6861	98	6	if	if	SCONJ
ap-6861	98	7	σvm	σvm	PROPN
ap-6861	98	8	≥	≥	PUNCT
ap-6861	98	9	sy	sy	NOUN
ap-6861	98	10	r	r	NOUN
ap-6861	98	11	figure	figure	NOUN
ap-6861	98	12	3	3	NUM
ap-6861	98	13	.	.	PUNCT
ap-6861	99	1	flow	flow	NOUN
ap-6861	99	2	chart	chart	NOUN
ap-6861	99	3	of	of	ADP
ap-6861	99	4	the	the	DET
ap-6861	99	5	von	von	PROPN
ap-6861	99	6	mises	mises	PROPN
ap-6861	99	7	stress	stress	VERB
ap-6861	99	8	calculation	calculation	NOUN
ap-6861	99	9	of	of	ADP
ap-6861	99	10	a	a	DET
ap-6861	99	11	roller	roller	NOUN
ap-6861	99	12	bearing	bearing	NOUN
ap-6861	99	13	.	.	PUNCT
ap-6861	100	1	the	the	DET
ap-6861	100	2	simulation	simulation	NOUN
ap-6861	100	3	results	result	VERB
ap-6861	100	4	for	for	ADP
ap-6861	100	5	a	a	DET
ap-6861	100	6	varying	vary	VERB
ap-6861	100	7	elasticity	elasticity	NOUN
ap-6861	100	8	modulus	modulus	NOUN
ap-6861	100	9	of	of	ADP
ap-6861	100	10	the	the	DET
ap-6861	100	11	ball	ball	NOUN
ap-6861	100	12	element	element	NOUN
ap-6861	100	13	are	be	AUX
ap-6861	100	14	presented	present	VERB
ap-6861	100	15	in	in	ADP
ap-6861	100	16	table	table	NOUN
ap-6861	100	17	2	2	NUM
ap-6861	100	18	.	.	PUNCT
ap-6861	100	19	increasing	increase	VERB
ap-6861	100	20	the	the	DET
ap-6861	100	21	elasticity	elasticity	NOUN
ap-6861	100	22	modulus	modulus	NOUN
ap-6861	100	23	of	of	ADP
ap-6861	100	24	the	the	DET
ap-6861	100	25	ball	ball	NOUN
ap-6861	100	26	element	element	NOUN
ap-6861	100	27	results	result	VERB
ap-6861	100	28	in	in	ADP
ap-6861	100	29	a	a	DET
ap-6861	100	30	decreased	decrease	VERB
ap-6861	100	31	contact	contact	NOUN
ap-6861	100	32	area	area	NOUN
ap-6861	100	33	a	a	ADV
ap-6861	100	34	,	,	PUNCT
ap-6861	100	35	as	as	SCONJ
ap-6861	100	36	shown	show	VERB
ap-6861	100	37	in	in	ADP
ap-6861	100	38	figure	figure	NOUN
ap-6861	100	39	8	8	NUM
ap-6861	100	40	.	.	PUNCT
ap-6861	100	41	increasing	increase	VERB
ap-6861	100	42	the	the	DET
ap-6861	100	43	elasticity	elasticity	NOUN
ap-6861	100	44	modulus	modulus	NOUN
ap-6861	100	45	of	of	ADP
ap-6861	100	46	the	the	DET
ap-6861	100	47	ball	ball	NOUN
ap-6861	100	48	element	element	NOUN
ap-6861	100	49	results	result	VERB
ap-6861	100	50	in	in	ADP
ap-6861	100	51	an	an	DET
ap-6861	100	52	increased	increase	VERB
ap-6861	100	53	maximum	maximum	ADJ
ap-6861	100	54	contact	contact	NOUN
ap-6861	100	55	pressure	pressure	NOUN
ap-6861	100	56	pmax	pmax	NOUN
ap-6861	100	57	,	,	PUNCT
ap-6861	100	58	as	as	SCONJ
ap-6861	100	59	shown	show	VERB
ap-6861	100	60	in	in	ADP
ap-6861	100	61	figure	figure	NOUN
ap-6861	100	62	9	9	NUM
ap-6861	100	63	.	.	PUNCT
ap-6861	100	64	increasing	increase	VERB
ap-6861	100	65	the	the	DET
ap-6861	100	66	elasticity	elasticity	NOUN
ap-6861	100	67	modulus	modulus	NOUN
ap-6861	100	68	of	of	ADP
ap-6861	100	69	the	the	DET
ap-6861	100	70	ball	ball	NOUN
ap-6861	100	71	element	element	NOUN
ap-6861	100	72	results	result	VERB
ap-6861	100	73	in	in	ADP
ap-6861	100	74	an	an	DET
ap-6861	100	75	increased	increased	ADJ
ap-6861	100	76	von	von	PROPN
ap-6861	100	77	mises	mises	PROPN
ap-6861	100	78	stress	stress	VERB
ap-6861	100	79	σv	σv	ADP
ap-6861	100	80	m	m	PRON
ap-6861	100	81	,	,	PUNCT
ap-6861	100	82	as	as	SCONJ
ap-6861	100	83	shown	show	VERB
ap-6861	100	84	in	in	ADP
ap-6861	100	85	figure	figure	NOUN
ap-6861	100	86	10	10	NUM
ap-6861	100	87	.	.	PUNCT
ap-6861	101	1	3.1.1	3.1.1	NUM
ap-6861	101	2	.	.	PUNCT
ap-6861	102	1	example	example	NOUN
ap-6861	102	2	of	of	ADP
ap-6861	102	3	a	a	DET
ap-6861	102	4	standard	standard	ADJ
ap-6861	102	5	ball	ball	NOUN
ap-6861	102	6	bearing	bear	VERB
ap-6861	102	7	a	a	DET
ap-6861	102	8	numerical	numerical	ADJ
ap-6861	102	9	example	example	NOUN
ap-6861	102	10	of	of	ADP
ap-6861	102	11	a	a	DET
ap-6861	102	12	standard	standard	ADJ
ap-6861	102	13	ball	ball	NOUN
ap-6861	102	14	bearing	bearing	NOUN
ap-6861	102	15	is	be	AUX
ap-6861	102	16	performed	perform	VERB
ap-6861	102	17	for	for	ADP
ap-6861	102	18	the	the	DET
ap-6861	102	19	6014	6014	NUM
ap-6861	102	20	ball	ball	NOUN
ap-6861	102	21	bearing	bearing	NOUN
ap-6861	102	22	,	,	PUNCT
ap-6861	102	23	as	as	SCONJ
ap-6861	102	24	shown	show	VERB
ap-6861	102	25	in	in	ADP
ap-6861	102	26	figure	figure	NOUN
ap-6861	102	27	11	11	NUM
ap-6861	102	28	.	.	PUNCT
ap-6861	103	1	basic	basic	ADJ
ap-6861	103	2	dimensions	dimension	NOUN
ap-6861	103	3	of	of	ADP
ap-6861	103	4	the	the	DET
ap-6861	103	5	6014	6014	NUM
ap-6861	103	6	ball	ball	NOUN
ap-6861	103	7	bearing	bearing	NOUN
ap-6861	103	8	are	be	AUX
ap-6861	103	9	presented	present	VERB
ap-6861	103	10	in	in	ADP
ap-6861	103	11	table	table	NOUN
ap-6861	103	12	3	3	NUM
ap-6861	103	13	.	.	PUNCT
ap-6861	104	1	the	the	DET
ap-6861	104	2	maximum	maximum	ADJ
ap-6861	104	3	contact	contact	NOUN
ap-6861	104	4	pressure	pressure	NOUN
ap-6861	104	5	pmax	pmax	NOUN
ap-6861	104	6	and	and	CCONJ
ap-6861	104	7	von	von	PROPN
ap-6861	104	8	misses	miss	VERB
ap-6861	104	9	stress	stress	NOUN
ap-6861	104	10	σv	σv	PROPN
ap-6861	104	11	m	m	NOUN
ap-6861	104	12	of	of	ADP
ap-6861	104	13	6014	6014	NUM
ap-6861	104	14	ball	ball	NOUN
ap-6861	104	15	bearings	bearing	NOUN
ap-6861	104	16	are	be	AUX
ap-6861	104	17	calculated	calculate	VERB
ap-6861	104	18	.	.	PUNCT
ap-6861	105	1	the	the	DET
ap-6861	105	2	obtained	obtain	VERB
ap-6861	105	3	results	result	NOUN
ap-6861	105	4	are	be	AUX
ap-6861	105	5	presented	present	VERB
ap-6861	105	6	in	in	ADP
ap-6861	105	7	table	table	NOUN
ap-6861	105	8	4	4	NUM
ap-6861	105	9	.	.	PUNCT
ap-6861	106	1	it	it	PRON
ap-6861	106	2	is	be	AUX
ap-6861	106	3	shown	show	VERB
ap-6861	106	4	that	that	SCONJ
ap-6861	106	5	increasing	increase	VERB
ap-6861	106	6	the	the	DET
ap-6861	106	7	radius	radius	NOUN
ap-6861	106	8	of	of	ADP
ap-6861	106	9	the	the	DET
ap-6861	106	10	ball	ball	NOUN
ap-6861	106	11	element	element	NOUN
ap-6861	106	12	results	result	VERB
ap-6861	106	13	in	in	ADP
ap-6861	106	14	a	a	DET
ap-6861	106	15	reduced	reduce	VERB
ap-6861	106	16	the	the	DET
ap-6861	106	17	von	von	PROPN
ap-6861	106	18	mises	mises	PROPN
ap-6861	106	19	stress	stress	VERB
ap-6861	106	20	σv	σv	ADP
ap-6861	106	21	m	m	PROPN
ap-6861	106	22	,	,	PUNCT
ap-6861	106	23	since	since	SCONJ
ap-6861	106	24	the	the	DET
ap-6861	106	25	standard	standard	ADJ
ap-6861	106	26	ball	ball	NOUN
ap-6861	106	27	bearing	bear	VERB
ap-6861	106	28	ball	ball	NOUN
ap-6861	106	29	radius	radius	NOUN
ap-6861	106	30	is	be	AUX
ap-6861	106	31	larger	large	ADJ
ap-6861	106	32	than	than	ADP
ap-6861	106	33	the	the	DET
ap-6861	106	34	simulation	simulation	NOUN
ap-6861	106	35	values	value	NOUN
ap-6861	106	36	of	of	ADP
ap-6861	106	37	the	the	DET
ap-6861	106	38	ball	ball	NOUN
ap-6861	106	39	radius	radius	NOUN
ap-6861	106	40	.	.	PUNCT
ap-6861	107	1	3.2	3.2	NUM
ap-6861	107	2	.	.	PUNCT
ap-6861	107	3	example	example	NOUN
ap-6861	107	4	of	of	ADP
ap-6861	107	5	roller	roller	NOUN
ap-6861	107	6	bearing	bear	VERB
ap-6861	107	7	application	application	NOUN
ap-6861	107	8	in	in	ADP
ap-6861	107	9	the	the	DET
ap-6861	107	10	numerical	numerical	ADJ
ap-6861	107	11	example	example	NOUN
ap-6861	107	12	for	for	ADP
ap-6861	107	13	a	a	DET
ap-6861	107	14	roller	roller	NOUN
ap-6861	107	15	bearing	bearing	NOUN
ap-6861	107	16	shown	show	VERB
ap-6861	107	17	in	in	ADP
ap-6861	107	18	figure	figure	NOUN
ap-6861	107	19	12	12	NUM
ap-6861	107	20	,	,	PUNCT
ap-6861	107	21	the	the	DET
ap-6861	107	22	average	average	ADJ
ap-6861	107	23	contact	contact	NOUN
ap-6861	107	24	pressure	pressure	NOUN
ap-6861	107	25	,	,	PUNCT
ap-6861	107	26	maximum	maximum	ADJ
ap-6861	107	27	contact	contact	NOUN
ap-6861	107	28	pressure	pressure	NOUN
ap-6861	107	29	and	and	CCONJ
ap-6861	107	30	von	von	PROPN
ap-6861	107	31	mises	mises	PROPN
ap-6861	107	32	stress	stress	NOUN
ap-6861	107	33	are	be	AUX
ap-6861	107	34	simulated	simulate	VERB
ap-6861	107	35	166	166	NUM
ap-6861	107	36	vol	vol	NOUN
ap-6861	107	37	.	.	PUNCT
ap-6861	108	1	61	61	NUM
ap-6861	108	2	no	no	NOUN
ap-6861	108	3	.	.	PUNCT
ap-6861	109	1	1/2021	1/2021	NUM
ap-6861	109	2	effects	effect	NOUN
ap-6861	109	3	of	of	ADP
ap-6861	109	4	design	design	NOUN
ap-6861	109	5	parameters	parameter	NOUN
ap-6861	109	6	on	on	ADP
ap-6861	109	7	static	static	ADJ
ap-6861	109	8	equivalent	equivalent	ADJ
ap-6861	109	9	stress	stress	NOUN
ap-6861	109	10	.	.	PUNCT
ap-6861	109	11	.	.	PUNCT
ap-6861	109	12	.	.	PUNCT
ap-6861	110	1	b	b	X
ap-6861	110	2	dd	dd	NOUN
ap-6861	110	3	d	d	NOUN
ap-6861	110	4	1	1	NUM
ap-6861	110	5	=	=	SYM
ap-6861	110	6	2	2	NUM
ap-6861	110	7	r	r	NOUN
ap-6861	110	8	2	2	NUM
ap-6861	110	9	d	d	SYM
ap-6861	110	10	2	2	NUM
ap-6861	110	11	r1	r1	NOUN
ap-6861	110	12	figure	figure	NOUN
ap-6861	110	13	4	4	NUM
ap-6861	110	14	.	.	PUNCT
ap-6861	110	15	ball	ball	NOUN
ap-6861	110	16	bearing	bearing	NOUN
ap-6861	110	17	.	.	PUNCT
ap-6861	111	1	r1	r1	PROPN
ap-6861	111	2	r2	r2	PROPN
ap-6861	111	3	<	<	X
ap-6861	111	4	a	a	DET
ap-6861	111	5	a	a	DET
ap-6861	111	6	pmax	pmax	NOUN
ap-6861	112	1	σv	σv	NOUN
ap-6861	112	2	m	m	PROPN
ap-6861	113	1	[	[	X
ap-6861	113	2	mm	mm	X
ap-6861	113	3	]	]	X
ap-6861	114	1	[	[	X
ap-6861	114	2	mm	mm	X
ap-6861	114	3	]	]	X
ap-6861	115	1	[	[	X
ap-6861	115	2	mm−1	mm−1	X
ap-6861	115	3	]	]	PUNCT
ap-6861	116	1	[	[	X
ap-6861	116	2	mm	mm	X
ap-6861	116	3	]	]	X
ap-6861	116	4	[	[	X
ap-6861	116	5	mm2	mm2	X
ap-6861	116	6	]	]	X
ap-6861	116	7	[	[	X
ap-6861	116	8	mpa	mpa	X
ap-6861	116	9	]	]	X
ap-6861	117	1	[	[	X
ap-6861	117	2	mpa	mpa	X
ap-6861	117	3	]	]	X
ap-6861	117	4	3.00	3.00	NUM
ap-6861	117	5	40	40	NUM
ap-6861	117	6	0.1792	0.1792	NUM
ap-6861	117	7	0.4512	0.4512	NUM
ap-6861	117	8	0.6396	0.6396	NUM
ap-6861	117	9	11727	11727	NUM
ap-6861	117	10	3940	3940	NUM
ap-6861	117	11	3.50	3.50	NUM
ap-6861	117	12	40	40	NUM
ap-6861	117	13	0.1554	0.1554	NUM
ap-6861	117	14	0.4732	0.4732	NUM
ap-6861	117	15	0.7033	0.7033	NUM
ap-6861	117	16	10663	10663	NUM
ap-6861	117	17	3583	3583	NUM
ap-6861	117	18	4.00	4.00	NUM
ap-6861	117	19	40	40	NUM
ap-6861	117	20	0.1375	0.1375	NUM
ap-6861	117	21	0.4928	0.4928	NUM
ap-6861	117	22	0.7630	0.7630	NUM
ap-6861	117	23	9829	9829	NUM
ap-6861	117	24	3302	3302	NUM
ap-6861	117	25	4.50	4.50	NUM
ap-6861	117	26	40	40	NUM
ap-6861	117	27	0.1236	0.1236	NUM
ap-6861	117	28	0.5106	0.5106	NUM
ap-6861	117	29	0.8191	0.8191	NUM
ap-6861	117	30	9156	9156	NUM
ap-6861	117	31	3076	3076	NUM
ap-6861	117	32	5.00	5.00	NUM
ap-6861	117	33	40	40	NUM
ap-6861	117	34	0.1125	0.1125	NUM
ap-6861	117	35	0.5296	0.5296	NUM
ap-6861	117	36	0.8722	0.8722	NUM
ap-6861	117	37	8598	8598	NUM
ap-6861	117	38	2889	2889	NUM
ap-6861	117	39	5.50	5.50	NUM
ap-6861	117	40	40	40	NUM
ap-6861	117	41	0.1034	0.1034	NUM
ap-6861	117	42	0.5419	0.5419	NUM
ap-6861	117	43	0.9226	0.9226	NUM
ap-6861	117	44	8129	8129	NUM
ap-6861	117	45	2731	2731	NUM
ap-6861	117	46	6.00	6.00	NUM
ap-6861	117	47	40	40	NUM
ap-6861	117	48	0.0958	0.0958	NUM
ap-6861	117	49	0.5558	0.5558	NUM
ap-6861	117	50	0.9706	0.9706	NUM
ap-6861	117	51	7727	7727	NUM
ap-6861	117	52	2596	2596	NUM
ap-6861	117	53	table	table	NOUN
ap-6861	117	54	1	1	NUM
ap-6861	117	55	.	.	PUNCT
ap-6861	117	56	contact	contact	NOUN
ap-6861	117	57	pressure	pressure	NOUN
ap-6861	117	58	and	and	CCONJ
ap-6861	117	59	von	von	PROPN
ap-6861	117	60	mises	mises	PROPN
ap-6861	117	61	stress	stress	VERB
ap-6861	117	62	results	result	VERB
ap-6861	117	63	for	for	ADP
ap-6861	117	64	a	a	DET
ap-6861	117	65	varying	vary	VERB
ap-6861	117	66	radius	radius	NOUN
ap-6861	117	67	of	of	ADP
ap-6861	117	68	the	the	DET
ap-6861	117	69	ball	ball	NOUN
ap-6861	117	70	element	element	NOUN
ap-6861	117	71	.	.	PUNCT
ap-6861	118	1	figure	figure	NOUN
ap-6861	118	2	5	5	NUM
ap-6861	118	3	.	.	PUNCT
ap-6861	119	1	relation	relation	NOUN
ap-6861	119	2	between	between	ADP
ap-6861	119	3	the	the	DET
ap-6861	119	4	contact	contact	NOUN
ap-6861	119	5	area	area	NOUN
ap-6861	119	6	and	and	CCONJ
ap-6861	119	7	the	the	DET
ap-6861	119	8	radios	radio	NOUN
ap-6861	119	9	of	of	ADP
ap-6861	119	10	the	the	DET
ap-6861	119	11	ball	ball	NOUN
ap-6861	119	12	element	element	NOUN
ap-6861	119	13	.	.	PUNCT
ap-6861	120	1	figure	figure	NOUN
ap-6861	120	2	6	6	NUM
ap-6861	120	3	.	.	PUNCT
ap-6861	121	1	relation	relation	NOUN
ap-6861	121	2	between	between	ADP
ap-6861	121	3	the	the	DET
ap-6861	121	4	maximum	maximum	ADJ
ap-6861	121	5	contact	contact	NOUN
ap-6861	121	6	pressure	pressure	NOUN
ap-6861	121	7	and	and	CCONJ
ap-6861	121	8	the	the	DET
ap-6861	121	9	radius	radius	NOUN
ap-6861	121	10	of	of	ADP
ap-6861	121	11	the	the	DET
ap-6861	121	12	ball	ball	NOUN
ap-6861	121	13	element	element	NOUN
ap-6861	121	14	.	.	PUNCT
ap-6861	122	1	167	167	NUM
ap-6861	122	2	mehmet	mehmet	PROPN
ap-6861	122	3	bozca	bozca	PROPN
ap-6861	122	4	acta	acta	PROPN
ap-6861	122	5	polytechnica	polytechnica	PROPN
ap-6861	122	6	figure	figure	NOUN
ap-6861	122	7	7	7	NUM
ap-6861	122	8	.	.	PUNCT
ap-6861	122	9	relation	relation	NOUN
ap-6861	122	10	between	between	ADP
ap-6861	122	11	von	von	PROPN
ap-6861	122	12	mises	mises	PROPN
ap-6861	122	13	stress	stress	NOUN
ap-6861	122	14	and	and	CCONJ
ap-6861	122	15	the	the	DET
ap-6861	122	16	radius	radius	NOUN
ap-6861	122	17	of	of	ADP
ap-6861	122	18	the	the	DET
ap-6861	122	19	ball	ball	NOUN
ap-6861	122	20	element	element	NOUN
ap-6861	122	21	.	.	PUNCT
ap-6861	123	1	e1	e1	PROPN
ap-6861	123	2	e2	e2	PROPN
ap-6861	123	3	<	<	X
ap-6861	123	4	a	a	DET
ap-6861	123	5	a	a	DET
ap-6861	123	6	pmax	pmax	NOUN
ap-6861	124	1	σv	σv	NOUN
ap-6861	124	2	m	m	PROPN
ap-6861	125	1	[	[	X
ap-6861	125	2	mpa	mpa	X
ap-6861	125	3	]	]	X
ap-6861	126	1	[	[	X
ap-6861	126	2	mpa	mpa	X
ap-6861	126	3	]	]	X
ap-6861	127	1	[	[	X
ap-6861	127	2	mm−1	mm−1	X
ap-6861	127	3	]	]	PUNCT
ap-6861	128	1	[	[	X
ap-6861	128	2	mm	mm	X
ap-6861	128	3	]	]	X
ap-6861	128	4	[	[	X
ap-6861	128	5	mm2	mm2	X
ap-6861	128	6	]	]	X
ap-6861	128	7	[	[	X
ap-6861	128	8	mpa	mpa	X
ap-6861	128	9	]	]	X
ap-6861	129	1	[	[	X
ap-6861	129	2	mpa	mpa	X
ap-6861	129	3	]	]	X
ap-6861	129	4	180000	180000	NUM
ap-6861	129	5	210000	210000	NUM
ap-6861	129	6	0.1125	0.1125	NUM
ap-6861	129	7	0.5412	0.5412	NUM
ap-6861	129	8	0.9200	0.9200	NUM
ap-6861	129	9	8152	8152	NUM
ap-6861	129	10	2739	2739	NUM
ap-6861	129	11	190000	190000	NUM
ap-6861	129	12	210000	210000	NUM
ap-6861	129	13	0.1125	0.1125	NUM
ap-6861	129	14	0.5360	0.5360	NUM
ap-6861	129	15	0.9025	0.9025	NUM
ap-6861	129	16	8309	8309	NUM
ap-6861	129	17	2792	2792	NUM
ap-6861	129	18	200000	200000	NUM
ap-6861	129	19	210000	210000	NUM
ap-6861	129	20	0.1125	0.1125	NUM
ap-6861	129	21	0.5313	0.5313	NUM
ap-6861	129	22	0.8867	0.8867	NUM
ap-6861	129	23	8458	8458	NUM
ap-6861	129	24	2842	2842	NUM
ap-6861	129	25	210000	210000	NUM
ap-6861	129	26	210000	210000	NUM
ap-6861	129	27	0.1125	0.1125	NUM
ap-6861	129	28	0.5269	0.5269	NUM
ap-6861	129	29	0.8722	0.8722	NUM
ap-6861	129	30	8598	8598	NUM
ap-6861	129	31	2889	2889	NUM
ap-6861	129	32	220000	220000	NUM
ap-6861	129	33	210000	210000	NUM
ap-6861	129	34	0.1125	0.1125	NUM
ap-6861	129	35	0.5229	0.5229	NUM
ap-6861	129	36	0.8589	0.8589	NUM
ap-6861	129	37	8731	8731	NUM
ap-6861	129	38	2933	2933	NUM
ap-6861	129	39	230000	230000	NUM
ap-6861	129	40	210000	210000	NUM
ap-6861	129	41	0.1125	0.1125	NUM
ap-6861	129	42	0.5192	0.5192	NUM
ap-6861	129	43	0.8467	0.8467	NUM
ap-6861	129	44	8857	8857	NUM
ap-6861	129	45	2976	2976	NUM
ap-6861	129	46	240000	240000	NUM
ap-6861	129	47	210000	210000	NUM
ap-6861	129	48	0.1125	0.1125	NUM
ap-6861	129	49	0.5157	0.5157	NUM
ap-6861	129	50	0.8355	0.8355	NUM
ap-6861	129	51	8977	8977	NUM
ap-6861	129	52	3016	3016	NUM
ap-6861	129	53	table	table	NOUN
ap-6861	129	54	2	2	NUM
ap-6861	129	55	.	.	PUNCT
ap-6861	129	56	contact	contact	NOUN
ap-6861	129	57	pressure	pressure	NOUN
ap-6861	129	58	and	and	CCONJ
ap-6861	129	59	von	von	PROPN
ap-6861	129	60	mises	mises	PROPN
ap-6861	129	61	stress	stress	VERB
ap-6861	129	62	for	for	ADP
ap-6861	129	63	a	a	DET
ap-6861	129	64	varying	vary	VERB
ap-6861	129	65	elasticity	elasticity	NOUN
ap-6861	129	66	modulus	modulus	NOUN
ap-6861	129	67	of	of	ADP
ap-6861	129	68	the	the	DET
ap-6861	129	69	ball	ball	NOUN
ap-6861	129	70	element	element	NOUN
ap-6861	129	71	.	.	PUNCT
ap-6861	130	1	figure	figure	NOUN
ap-6861	130	2	8	8	NUM
ap-6861	130	3	.	.	PUNCT
ap-6861	131	1	relation	relation	NOUN
ap-6861	131	2	between	between	ADP
ap-6861	131	3	the	the	DET
ap-6861	131	4	contact	contact	NOUN
ap-6861	131	5	area	area	NOUN
ap-6861	131	6	and	and	CCONJ
ap-6861	131	7	elasticity	elasticity	NOUN
ap-6861	131	8	modulus	modulus	NOUN
ap-6861	131	9	.	.	PUNCT
ap-6861	132	1	figure	figure	NOUN
ap-6861	132	2	9	9	NUM
ap-6861	132	3	.	.	PUNCT
ap-6861	133	1	relation	relation	NOUN
ap-6861	133	2	between	between	ADP
ap-6861	133	3	the	the	DET
ap-6861	133	4	maximum	maximum	ADJ
ap-6861	133	5	contact	contact	NOUN
ap-6861	133	6	pressure	pressure	NOUN
ap-6861	133	7	and	and	CCONJ
ap-6861	133	8	elasticity	elasticity	NOUN
ap-6861	133	9	modulus	modulus	NOUN
ap-6861	133	10	.	.	PUNCT
ap-6861	134	1	d	d	X
ap-6861	134	2	d	d	SYM
ap-6861	134	3	b	b	PROPN
ap-6861	134	4	d1	d1	PROPN
ap-6861	134	5	d2	d2	PROPN
ap-6861	135	1	[	[	X
ap-6861	135	2	mm	mm	X
ap-6861	135	3	]	]	X
ap-6861	136	1	[	[	X
ap-6861	136	2	mm	mm	X
ap-6861	136	3	]	]	X
ap-6861	137	1	[	[	X
ap-6861	137	2	mm	mm	X
ap-6861	137	3	]	]	X
ap-6861	137	4	[	[	X
ap-6861	137	5	mm	mm	X
ap-6861	137	6	]	]	X
ap-6861	137	7	[	[	X
ap-6861	137	8	mm	mm	X
ap-6861	137	9	]	]	X
ap-6861	137	10	70	70	NUM
ap-6861	137	11	110	110	NUM
ap-6861	137	12	20	20	NUM
ap-6861	137	13	82.85	82.85	NUM
ap-6861	137	14	99.9	99.9	NUM
ap-6861	137	15	table	table	NOUN
ap-6861	137	16	3	3	NUM
ap-6861	137	17	.	.	PUNCT
ap-6861	137	18	basic	basic	ADJ
ap-6861	137	19	dimensions	dimension	NOUN
ap-6861	137	20	of	of	ADP
ap-6861	137	21	standard	standard	ADJ
ap-6861	137	22	6014	6014	NUM
ap-6861	137	23	ball	ball	NOUN
ap-6861	137	24	bearing	bearing	NOUN
ap-6861	137	25	.	.	PUNCT
ap-6861	138	1	168	168	NUM
ap-6861	138	2	vol	vol	NOUN
ap-6861	138	3	.	.	PUNCT
ap-6861	139	1	61	61	NUM
ap-6861	139	2	no	no	NOUN
ap-6861	139	3	.	.	PUNCT
ap-6861	140	1	1/2021	1/2021	NUM
ap-6861	140	2	effects	effect	NOUN
ap-6861	140	3	of	of	ADP
ap-6861	140	4	design	design	NOUN
ap-6861	140	5	parameters	parameter	NOUN
ap-6861	140	6	on	on	ADP
ap-6861	140	7	static	static	ADJ
ap-6861	140	8	equivalent	equivalent	ADJ
ap-6861	140	9	stress	stress	NOUN
ap-6861	140	10	.	.	PUNCT
ap-6861	140	11	.	.	PUNCT
ap-6861	140	12	.	.	PUNCT
ap-6861	141	1	figure	figure	NOUN
ap-6861	141	2	10	10	NUM
ap-6861	141	3	.	.	PUNCT
ap-6861	142	1	von	von	PROPN
ap-6861	142	2	mises	mises	PROPN
ap-6861	142	3	stress	stress	NOUN
ap-6861	142	4	and	and	CCONJ
ap-6861	142	5	elasticity	elasticity	NOUN
ap-6861	142	6	modulus	modulus	NOUN
ap-6861	142	7	relation	relation	NOUN
ap-6861	142	8	.	.	PUNCT
ap-6861	143	1	b	b	X
ap-6861	143	2	dd	dd	NOUN
ap-6861	143	3	d	d	NOUN
ap-6861	143	4	1	1	NUM
ap-6861	143	5	=	=	SYM
ap-6861	143	6	2	2	NUM
ap-6861	143	7	r	r	NOUN
ap-6861	143	8	2	2	NUM
ap-6861	143	9	d	d	SYM
ap-6861	143	10	2	2	NUM
ap-6861	143	11	r1	r1	NOUN
ap-6861	143	12	figure	figure	NOUN
ap-6861	143	13	11	11	NUM
ap-6861	143	14	.	.	PUNCT
ap-6861	143	15	basic	basic	ADJ
ap-6861	143	16	dimensions	dimension	NOUN
ap-6861	143	17	of	of	ADP
ap-6861	143	18	6014	6014	NUM
ap-6861	143	19	ball	ball	NOUN
ap-6861	143	20	bearing	bearing	NOUN
ap-6861	143	21	.	.	PUNCT
ap-6861	144	1	by	by	ADP
ap-6861	144	2	varying	vary	VERB
ap-6861	144	3	the	the	DET
ap-6861	144	4	radius	radius	NOUN
ap-6861	144	5	and	and	CCONJ
ap-6861	144	6	elasticity	elasticity	NOUN
ap-6861	144	7	modulus	modulus	NOUN
ap-6861	144	8	of	of	ADP
ap-6861	144	9	the	the	DET
ap-6861	144	10	roller	roller	NOUN
ap-6861	144	11	element	element	NOUN
ap-6861	144	12	.	.	PUNCT
ap-6861	145	1	the	the	DET
ap-6861	145	2	simulation	simulation	NOUN
ap-6861	145	3	results	result	VERB
ap-6861	145	4	for	for	ADP
ap-6861	145	5	a	a	DET
ap-6861	145	6	varying	vary	VERB
ap-6861	145	7	radius	radius	NOUN
ap-6861	145	8	of	of	ADP
ap-6861	145	9	the	the	DET
ap-6861	145	10	roller	roller	NOUN
ap-6861	145	11	element	element	NOUN
ap-6861	145	12	are	be	AUX
ap-6861	145	13	reported	report	VERB
ap-6861	145	14	in	in	ADP
ap-6861	145	15	table	table	NOUN
ap-6861	145	16	5	5	NUM
ap-6861	145	17	.	.	PUNCT
ap-6861	145	18	increasing	increase	VERB
ap-6861	145	19	the	the	DET
ap-6861	145	20	radius	radius	NOUN
ap-6861	145	21	of	of	ADP
ap-6861	145	22	the	the	DET
ap-6861	145	23	roller	roller	NOUN
ap-6861	145	24	element	element	NOUN
ap-6861	145	25	results	result	NOUN
ap-6861	145	26	in	in	ADP
ap-6861	145	27	an	an	DET
ap-6861	145	28	increased	increase	VERB
ap-6861	145	29	contact	contact	NOUN
ap-6861	145	30	area	area	NOUN
ap-6861	145	31	a	a	ADV
ap-6861	145	32	,	,	PUNCT
ap-6861	145	33	as	as	SCONJ
ap-6861	145	34	shown	show	VERB
ap-6861	145	35	in	in	ADP
ap-6861	145	36	figure	figure	NOUN
ap-6861	145	37	13	13	NUM
ap-6861	145	38	.	.	PUNCT
ap-6861	145	39	increasing	increase	VERB
ap-6861	145	40	the	the	DET
ap-6861	145	41	radius	radius	NOUN
ap-6861	145	42	of	of	ADP
ap-6861	145	43	the	the	DET
ap-6861	145	44	roller	roller	NOUN
ap-6861	145	45	element	element	NOUN
ap-6861	145	46	results	result	NOUN
ap-6861	145	47	in	in	ADP
ap-6861	145	48	a	a	DET
ap-6861	145	49	decreased	decrease	VERB
ap-6861	145	50	maximum	maximum	ADJ
ap-6861	145	51	contact	contact	NOUN
ap-6861	145	52	pressure	pressure	NOUN
ap-6861	145	53	pmax	pmax	NOUN
ap-6861	145	54	,	,	PUNCT
ap-6861	145	55	as	as	SCONJ
ap-6861	145	56	shown	show	VERB
ap-6861	145	57	in	in	ADP
ap-6861	145	58	figure	figure	NOUN
ap-6861	145	59	14	14	NUM
ap-6861	145	60	.	.	PUNCT
ap-6861	146	1	increasing	increase	VERB
ap-6861	146	2	the	the	DET
ap-6861	146	3	radius	radius	NOUN
ap-6861	146	4	of	of	ADP
ap-6861	146	5	the	the	DET
ap-6861	146	6	roller	roller	NOUN
ap-6861	146	7	element	element	NOUN
ap-6861	146	8	results	result	NOUN
ap-6861	146	9	in	in	ADP
ap-6861	146	10	a	a	DET
ap-6861	146	11	decreased	decrease	VERB
ap-6861	146	12	von	von	PROPN
ap-6861	146	13	mises	mises	PROPN
ap-6861	146	14	stress	stress	VERB
ap-6861	146	15	σv	σv	ADP
ap-6861	146	16	m	m	PRON
ap-6861	146	17	,	,	PUNCT
ap-6861	146	18	as	as	SCONJ
ap-6861	146	19	shown	show	VERB
ap-6861	146	20	in	in	ADP
ap-6861	146	21	figure	figure	NOUN
ap-6861	146	22	15	15	NUM
ap-6861	146	23	.	.	PUNCT
ap-6861	147	1	the	the	DET
ap-6861	147	2	simulation	simulation	NOUN
ap-6861	147	3	results	result	VERB
ap-6861	147	4	for	for	ADP
ap-6861	147	5	a	a	DET
ap-6861	147	6	varying	vary	VERB
ap-6861	147	7	elasticity	elasticity	NOUN
ap-6861	147	8	modulus	modulus	NOUN
ap-6861	147	9	of	of	ADP
ap-6861	147	10	the	the	DET
ap-6861	147	11	roller	roller	NOUN
ap-6861	147	12	element	element	NOUN
ap-6861	147	13	are	be	AUX
ap-6861	147	14	reported	report	VERB
ap-6861	147	15	in	in	ADP
ap-6861	147	16	table	table	NOUN
ap-6861	147	17	6	6	NUM
ap-6861	147	18	.	.	PUNCT
ap-6861	147	19	increasing	increase	VERB
ap-6861	147	20	the	the	DET
ap-6861	147	21	elasticity	elasticity	NOUN
ap-6861	147	22	modulus	modulus	NOUN
ap-6861	147	23	of	of	ADP
ap-6861	147	24	the	the	DET
ap-6861	147	25	roller	roller	NOUN
ap-6861	147	26	element	element	NOUN
ap-6861	147	27	results	result	NOUN
ap-6861	147	28	in	in	ADP
ap-6861	147	29	a	a	DET
ap-6861	147	30	decreased	decrease	VERB
ap-6861	147	31	contact	contact	NOUN
ap-6861	147	32	area	area	NOUN
ap-6861	147	33	a	a	ADV
ap-6861	147	34	,	,	PUNCT
ap-6861	147	35	as	as	SCONJ
ap-6861	147	36	shown	show	VERB
ap-6861	147	37	in	in	ADP
ap-6861	147	38	figure	figure	NOUN
ap-6861	147	39	16	16	NUM
ap-6861	147	40	.	.	PUNCT
ap-6861	148	1	increasing	increase	VERB
ap-6861	148	2	the	the	DET
ap-6861	148	3	elasticity	elasticity	NOUN
ap-6861	148	4	modulus	modulus	NOUN
ap-6861	148	5	of	of	ADP
ap-6861	148	6	the	the	DET
ap-6861	148	7	roller	roller	NOUN
ap-6861	148	8	element	element	NOUN
ap-6861	148	9	results	result	NOUN
ap-6861	148	10	in	in	ADP
ap-6861	148	11	an	an	DET
ap-6861	148	12	increased	increase	VERB
ap-6861	148	13	maximum	maximum	ADJ
ap-6861	148	14	contact	contact	NOUN
ap-6861	148	15	pressure	pressure	NOUN
ap-6861	148	16	pmax	pmax	NOUN
ap-6861	148	17	,	,	PUNCT
ap-6861	148	18	as	as	SCONJ
ap-6861	148	19	shown	show	VERB
ap-6861	148	20	in	in	ADP
ap-6861	148	21	figure	figure	NOUN
ap-6861	148	22	17	17	NUM
ap-6861	148	23	.	.	PUNCT
ap-6861	149	1	increasing	increase	VERB
ap-6861	149	2	the	the	DET
ap-6861	149	3	elasticity	elasticity	NOUN
ap-6861	149	4	modulus	modulus	NOUN
ap-6861	149	5	of	of	ADP
ap-6861	149	6	the	the	DET
ap-6861	149	7	roller	roller	NOUN
ap-6861	149	8	element	element	NOUN
ap-6861	149	9	results	result	NOUN
ap-6861	149	10	in	in	ADP
ap-6861	149	11	an	an	DET
ap-6861	149	12	increased	increased	ADJ
ap-6861	149	13	von	von	PROPN
ap-6861	149	14	mises	mises	PROPN
ap-6861	149	15	stress	stress	PROPN
ap-6861	149	16	,	,	PUNCT
ap-6861	149	17	as	as	SCONJ
ap-6861	149	18	shown	show	VERB
ap-6861	149	19	in	in	ADP
ap-6861	149	20	figure	figure	NOUN
ap-6861	149	21	18	18	NUM
ap-6861	149	22	.	.	PUNCT
ap-6861	150	1	3.2.1	3.2.1	NUM
ap-6861	150	2	.	.	PUNCT
ap-6861	150	3	example	example	NOUN
ap-6861	150	4	of	of	ADP
ap-6861	150	5	a	a	DET
ap-6861	150	6	standard	standard	ADJ
ap-6861	150	7	roller	roller	NOUN
ap-6861	150	8	bearing	bear	VERB
ap-6861	150	9	a	a	DET
ap-6861	150	10	numerical	numerical	ADJ
ap-6861	150	11	example	example	NOUN
ap-6861	150	12	of	of	ADP
ap-6861	150	13	a	a	DET
ap-6861	150	14	standard	standard	ADJ
ap-6861	150	15	roller	roller	NOUN
ap-6861	150	16	bearing	bearing	NOUN
ap-6861	150	17	is	be	AUX
ap-6861	150	18	performed	perform	VERB
ap-6861	150	19	for	for	ADP
ap-6861	150	20	nu	nu	PROPN
ap-6861	150	21	1014	1014	NUM
ap-6861	150	22	roller	roller	NOUN
ap-6861	150	23	bearing	bearing	NOUN
ap-6861	150	24	,	,	PUNCT
ap-6861	150	25	as	as	SCONJ
ap-6861	150	26	shown	show	VERB
ap-6861	150	27	in	in	ADP
ap-6861	150	28	figure	figure	NOUN
ap-6861	150	29	19	19	NUM
ap-6861	150	30	.	.	PUNCT
ap-6861	150	31	basic	basic	ADJ
ap-6861	150	32	dimensions	dimension	NOUN
ap-6861	150	33	of	of	ADP
ap-6861	150	34	nu	nu	PROPN
ap-6861	150	35	1014	1014	NUM
ap-6861	150	36	roller	roller	NOUN
ap-6861	150	37	bearing	bearing	NOUN
ap-6861	150	38	are	be	AUX
ap-6861	150	39	presented	present	VERB
ap-6861	150	40	in	in	ADP
ap-6861	150	41	table	table	NOUN
ap-6861	150	42	7	7	NUM
ap-6861	150	43	.	.	PUNCT
ap-6861	151	1	the	the	DET
ap-6861	151	2	maximum	maximum	ADJ
ap-6861	151	3	contact	contact	NOUN
ap-6861	151	4	pressure	pressure	NOUN
ap-6861	151	5	pmax	pmax	NOUN
ap-6861	151	6	and	and	CCONJ
ap-6861	151	7	von	von	PROPN
ap-6861	151	8	misses	miss	VERB
ap-6861	151	9	stress	stress	NOUN
ap-6861	151	10	σv	σv	PROPN
ap-6861	151	11	m	m	PROPN
ap-6861	151	12	of	of	ADP
ap-6861	151	13	nu	nu	PROPN
ap-6861	151	14	1014	1014	NUM
ap-6861	151	15	roller	roller	NOUN
ap-6861	151	16	bearings	bearing	NOUN
ap-6861	151	17	are	be	AUX
ap-6861	151	18	calculated	calculate	VERB
ap-6861	151	19	.	.	PUNCT
ap-6861	152	1	the	the	DET
ap-6861	152	2	obtained	obtain	VERB
ap-6861	152	3	results	result	NOUN
ap-6861	152	4	are	be	AUX
ap-6861	152	5	presented	present	VERB
ap-6861	152	6	in	in	ADP
ap-6861	152	7	table	table	NOUN
ap-6861	152	8	8	8	NUM
ap-6861	152	9	.	.	PUNCT
ap-6861	153	1	it	it	PRON
ap-6861	153	2	is	be	AUX
ap-6861	153	3	shown	show	VERB
ap-6861	153	4	that	that	SCONJ
ap-6861	153	5	increasing	increase	VERB
ap-6861	153	6	the	the	DET
ap-6861	153	7	radius	radius	NOUN
ap-6861	153	8	of	of	ADP
ap-6861	153	9	the	the	DET
ap-6861	153	10	roller	roller	NOUN
ap-6861	153	11	element	element	NOUN
ap-6861	153	12	results	result	VERB
ap-6861	153	13	in	in	ADP
ap-6861	153	14	a	a	DET
ap-6861	153	15	reduced	reduce	VERB
ap-6861	153	16	the	the	DET
ap-6861	153	17	von	von	PROPN
ap-6861	153	18	mises	mises	PROPN
ap-6861	153	19	stress	stress	VERB
ap-6861	153	20	σv	σv	PROPN
ap-6861	153	21	m	m	VERB
ap-6861	153	22	since	since	SCONJ
ap-6861	153	23	the	the	DET
ap-6861	153	24	standard	standard	ADJ
ap-6861	153	25	radius	radius	NOUN
ap-6861	153	26	of	of	ADP
ap-6861	153	27	a	a	DET
ap-6861	153	28	roller	roller	NOUN
ap-6861	153	29	bearing	bearing	NOUN
ap-6861	153	30	is	be	AUX
ap-6861	153	31	larger	large	ADJ
ap-6861	153	32	than	than	ADP
ap-6861	153	33	the	the	DET
ap-6861	153	34	simulation	simulation	NOUN
ap-6861	153	35	values	value	NOUN
ap-6861	153	36	of	of	ADP
ap-6861	153	37	the	the	DET
ap-6861	153	38	roller	roller	NOUN
ap-6861	153	39	radius	radius	NOUN
ap-6861	153	40	.	.	PUNCT
ap-6861	154	1	4	4	X
ap-6861	154	2	.	.	X
ap-6861	154	3	discussion	discussion	NOUN
ap-6861	154	4	increasing	increase	VERB
ap-6861	154	5	the	the	DET
ap-6861	154	6	radius	radius	NOUN
ap-6861	154	7	of	of	ADP
ap-6861	154	8	the	the	DET
ap-6861	154	9	ball	ball	NOUN
ap-6861	154	10	element	element	NOUN
ap-6861	154	11	r1	r1	PROPN
ap-6861	154	12	from	from	ADP
ap-6861	154	13	3	3	NUM
ap-6861	154	14	[	[	X
ap-6861	154	15	mm	mm	X
ap-6861	154	16	]	]	X
ap-6861	154	17	to	to	ADP
ap-6861	154	18	6	6	NUM
ap-6861	154	19	[	[	X
ap-6861	154	20	mm	mm	X
ap-6861	154	21	]	]	X
ap-6861	154	22	results	result	NOUN
ap-6861	154	23	in	in	ADP
ap-6861	154	24	an	an	DET
ap-6861	154	25	increased	increase	VERB
ap-6861	154	26	contact	contact	NOUN
ap-6861	154	27	area	area	NOUN
ap-6861	154	28	a	a	PRON
ap-6861	154	29	from	from	ADP
ap-6861	154	30	0.6396	0.6396	NUM
ap-6861	155	1	[	[	X
ap-6861	155	2	mm2	mm2	X
ap-6861	155	3	]	]	X
ap-6861	155	4	to	to	ADP
ap-6861	155	5	0.9706	0.9706	NUM
ap-6861	156	1	[	[	X
ap-6861	156	2	mm2	mm2	X
ap-6861	156	3	]	]	X
ap-6861	156	4	while	while	SCONJ
ap-6861	156	5	reducing	reduce	VERB
ap-6861	156	6	the	the	DET
ap-6861	156	7	geometry	geometry	NOUN
ap-6861	156	8	constant	constant	ADJ
ap-6861	156	9	from	from	ADP
ap-6861	156	10	0.1792	0.1792	NUM
ap-6861	156	11	[	[	X
ap-6861	156	12	mm−1	mm−1	NOUN
ap-6861	156	13	]	]	PUNCT
ap-6861	156	14	to	to	ADP
ap-6861	156	15	0.0958	0.0958	NUM
ap-6861	157	1	[	[	X
ap-6861	157	2	mm−1	mm−1	NOUN
ap-6861	157	3	]	]	PUNCT
ap-6861	157	4	.	.	PUNCT
ap-6861	158	1	in	in	ADP
ap-6861	158	2	contrast	contrast	NOUN
ap-6861	158	3	,	,	PUNCT
ap-6861	158	4	increasing	increase	VERB
ap-6861	158	5	the	the	DET
ap-6861	158	6	radius	radius	NOUN
ap-6861	158	7	of	of	ADP
ap-6861	158	8	the	the	DET
ap-6861	158	9	ball	ball	NOUN
ap-6861	158	10	element	element	NOUN
ap-6861	158	11	r1	r1	PROPN
ap-6861	158	12	results	result	NOUN
ap-6861	158	13	in	in	ADP
ap-6861	158	14	an	an	DET
ap-6861	158	15	increased	increase	VERB
ap-6861	158	16	contactpatch	contactpatch	NOUN
ap-6861	158	17	radius	radius	NOUN
ap-6861	158	18	a	a	PRON
ap-6861	158	19	from	from	ADP
ap-6861	158	20	0.4512	0.4512	NUM
ap-6861	158	21	[	[	X
ap-6861	158	22	mm	mm	X
ap-6861	158	23	]	]	X
ap-6861	158	24	to	to	ADP
ap-6861	158	25	0.5558	0.5558	PRON
ap-6861	158	26	[	[	X
ap-6861	158	27	mm	mm	X
ap-6861	158	28	]	]	X
ap-6861	158	29	,	,	PUNCT
ap-6861	158	30	as	as	ADP
ap-6861	158	31	reported	report	VERB
ap-6861	158	32	table	table	NOUN
ap-6861	158	33	1	1	NUM
ap-6861	158	34	.	.	PUNCT
ap-6861	158	35	increasing	increase	VERB
ap-6861	158	36	the	the	DET
ap-6861	158	37	elasticity	elasticity	NOUN
ap-6861	158	38	modulus	modulus	NOUN
ap-6861	158	39	of	of	ADP
ap-6861	158	40	the	the	DET
ap-6861	158	41	ball	ball	NOUN
ap-6861	158	42	element	element	NOUN
ap-6861	158	43	e1	e1	PROPN
ap-6861	158	44	from	from	ADP
ap-6861	158	45	180000	180000	NUM
ap-6861	158	46	[	[	X
ap-6861	158	47	n	n	CCONJ
ap-6861	158	48	/	/	SYM
ap-6861	158	49	mm2	mm2	NOUN
ap-6861	158	50	]	]	X
ap-6861	158	51	to	to	ADP
ap-6861	158	52	240000	240000	NUM
ap-6861	158	53	[	[	X
ap-6861	158	54	n	n	CCONJ
ap-6861	158	55	/	/	SYM
ap-6861	158	56	mm2	mm2	NOUN
ap-6861	158	57	]	]	X
ap-6861	158	58	results	result	VERB
ap-6861	158	59	in	in	ADP
ap-6861	158	60	a	a	DET
ap-6861	158	61	decreased	decrease	VERB
ap-6861	158	62	contact	contact	NOUN
ap-6861	158	63	area	area	NOUN
ap-6861	158	64	a	a	PRON
ap-6861	158	65	from	from	ADP
ap-6861	158	66	0.9200	0.9200	NUM
ap-6861	158	67	[	[	X
ap-6861	158	68	mm2	mm2	X
ap-6861	158	69	]	]	X
ap-6861	158	70	to	to	ADP
ap-6861	158	71	0.8355	0.8355	NUM
ap-6861	158	72	[	[	X
ap-6861	158	73	mm2	mm2	X
ap-6861	158	74	]	]	X
ap-6861	158	75	while	while	SCONJ
ap-6861	158	76	keeping	keep	VERB
ap-6861	158	77	the	the	DET
ap-6861	158	78	geometry	geometry	NOUN
ap-6861	158	79	constant	constant	ADJ
ap-6861	158	80	as	as	ADP
ap-6861	158	81	constant	constant	ADJ
ap-6861	158	82	.	.	PUNCT
ap-6861	159	1	in	in	ADP
ap-6861	159	2	contrast	contrast	NOUN
ap-6861	159	3	,	,	PUNCT
ap-6861	159	4	increasing	increase	VERB
ap-6861	159	5	the	the	DET
ap-6861	159	6	elasticity	elasticity	NOUN
ap-6861	159	7	modulus	modulus	NOUN
ap-6861	159	8	of	of	ADP
ap-6861	159	9	the	the	DET
ap-6861	159	10	ball	ball	NOUN
ap-6861	159	11	e1	e1	NOUN
ap-6861	159	12	results	result	NOUN
ap-6861	159	13	in	in	ADP
ap-6861	159	14	a	a	DET
ap-6861	159	15	decreased	decrease	VERB
ap-6861	159	16	contactpatch	contactpatch	ADJ
ap-6861	159	17	radius	radius	NOUN
ap-6861	159	18	a	a	PRON
ap-6861	159	19	from	from	ADP
ap-6861	159	20	0.5412	0.5412	NUM
ap-6861	159	21	[	[	X
ap-6861	159	22	mm	mm	X
ap-6861	159	23	]	]	X
ap-6861	159	24	to	to	ADP
ap-6861	159	25	0.5157	0.5157	NUM
ap-6861	159	26	[	[	X
ap-6861	159	27	mm	mm	X
ap-6861	159	28	]	]	X
ap-6861	159	29	,	,	PUNCT
ap-6861	159	30	as	as	SCONJ
ap-6861	159	31	reported	report	VERB
ap-6861	159	32	in	in	ADP
ap-6861	159	33	table	table	NOUN
ap-6861	159	34	2	2	NUM
ap-6861	159	35	.	.	PUNCT
ap-6861	159	36	increasing	increase	VERB
ap-6861	159	37	the	the	DET
ap-6861	159	38	radius	radius	NOUN
ap-6861	159	39	of	of	ADP
ap-6861	159	40	the	the	DET
ap-6861	159	41	roller	roller	NOUN
ap-6861	159	42	element	element	NOUN
ap-6861	159	43	r1	r1	NOUN
ap-6861	159	44	from	from	ADP
ap-6861	159	45	3	3	NUM
ap-6861	159	46	[	[	X
ap-6861	159	47	mm	mm	X
ap-6861	159	48	]	]	X
ap-6861	159	49	to	to	ADP
ap-6861	159	50	6	6	NUM
ap-6861	159	51	[	[	X
ap-6861	159	52	mm	mm	X
ap-6861	159	53	]	]	X
ap-6861	159	54	results	result	NOUN
ap-6861	159	55	in	in	ADP
ap-6861	159	56	an	an	DET
ap-6861	159	57	increased	increase	VERB
ap-6861	159	58	contact	contact	NOUN
ap-6861	159	59	area	area	NOUN
ap-6861	159	60	a	a	PRON
ap-6861	159	61	from	from	ADP
ap-6861	159	62	2.4975	2.4975	NUM
ap-6861	159	63	[	[	X
ap-6861	159	64	mm2	mm2	X
ap-6861	159	65	]	]	X
ap-6861	159	66	to	to	ADP
ap-6861	159	67	3.4149	3.4149	NUM
ap-6861	159	68	[	[	X
ap-6861	159	69	mm2	mm2	X
ap-6861	159	70	]	]	X
ap-6861	159	71	while	while	SCONJ
ap-6861	159	72	decreasing	decrease	VERB
ap-6861	159	73	the	the	DET
ap-6861	159	74	geometry	geometry	NOUN
ap-6861	159	75	constant	constant	ADJ
ap-6861	159	76	from	from	ADP
ap-6861	159	77	0.1792	0.1792	NUM
ap-6861	159	78	[	[	X
ap-6861	159	79	mm−1	mm−1	NOUN
ap-6861	159	80	]	]	PUNCT
ap-6861	159	81	to	to	ADP
ap-6861	159	82	0.0958	0.0958	NUM
ap-6861	160	1	[	[	X
ap-6861	160	2	mm−1	mm−1	NOUN
ap-6861	160	3	]	]	PUNCT
ap-6861	160	4	.	.	PUNCT
ap-6861	161	1	in	in	ADP
ap-6861	161	2	contrast	contrast	NOUN
ap-6861	161	3	,	,	PUNCT
ap-6861	161	4	increasing	increase	VERB
ap-6861	161	5	the	the	DET
ap-6861	161	6	radius	radius	NOUN
ap-6861	161	7	of	of	ADP
ap-6861	161	8	the	the	DET
ap-6861	161	9	roller	roller	NOUN
ap-6861	161	10	element	element	NOUN
ap-6861	161	11	r1	r1	NOUN
ap-6861	161	12	results	result	NOUN
ap-6861	161	13	in	in	ADP
ap-6861	161	14	an	an	DET
ap-6861	161	15	increased	increase	VERB
ap-6861	161	16	contact169	contact169	PROPN
ap-6861	161	17	mehmet	mehmet	PROPN
ap-6861	161	18	bozca	bozca	PROPN
ap-6861	161	19	acta	acta	PROPN
ap-6861	161	20	polytechnica	polytechnica	PROPN
ap-6861	161	21	r1	r1	PROPN
ap-6861	161	22	r2	r2	PROPN
ap-6861	161	23	<	<	X
ap-6861	161	24	a	a	DET
ap-6861	161	25	a	a	DET
ap-6861	161	26	pmax	pmax	NOUN
ap-6861	161	27	σv	σv	NOUN
ap-6861	161	28	m	m	PROPN
ap-6861	162	1	[	[	X
ap-6861	162	2	mm	mm	X
ap-6861	162	3	]	]	X
ap-6861	163	1	[	[	X
ap-6861	163	2	mm	mm	X
ap-6861	163	3	]	]	X
ap-6861	164	1	[	[	X
ap-6861	164	2	mm−1	mm−1	X
ap-6861	164	3	]	]	PUNCT
ap-6861	165	1	[	[	X
ap-6861	165	2	mm	mm	X
ap-6861	165	3	]	]	X
ap-6861	165	4	[	[	X
ap-6861	165	5	mm2	mm2	X
ap-6861	165	6	]	]	X
ap-6861	165	7	[	[	X
ap-6861	165	8	mpa	mpa	X
ap-6861	165	9	]	]	X
ap-6861	166	1	[	[	X
ap-6861	166	2	mpa	mpa	X
ap-6861	166	3	]	]	X
ap-6861	166	4	8.00	8.00	NUM
ap-6861	166	5	40	40	NUM
ap-6861	166	6	0.0750	0.0750	NUM
ap-6861	166	7	0.6032	0.6032	NUM
ap-6861	166	8	1.1429	1.1429	NUM
ap-6861	166	9	6562	6562	NUM
ap-6861	166	10	2204	2204	NUM
ap-6861	166	11	table	table	NOUN
ap-6861	166	12	4	4	NUM
ap-6861	166	13	.	.	PUNCT
ap-6861	166	14	contact	contact	NOUN
ap-6861	166	15	pressure	pressure	NOUN
ap-6861	166	16	and	and	CCONJ
ap-6861	166	17	von	von	PROPN
ap-6861	166	18	mises	mises	PROPN
ap-6861	166	19	stress	stress	VERB
ap-6861	166	20	results	result	NOUN
ap-6861	166	21	for	for	ADP
ap-6861	166	22	standard	standard	ADJ
ap-6861	166	23	6014	6014	NUM
ap-6861	166	24	ball	ball	NOUN
ap-6861	166	25	bearing	bearing	NOUN
ap-6861	166	26	.	.	PUNCT
ap-6861	167	1	d	d	X
ap-6861	167	2	b	b	X
ap-6861	168	1	d	d	X
ap-6861	168	2	f	f	NOUN
ap-6861	168	3	r	r	NOUN
ap-6861	168	4	1	1	NUM
ap-6861	168	5	d	d	SYM
ap-6861	168	6	1	1	NUM
ap-6861	168	7	=	=	SYM
ap-6861	168	8	2	2	NUM
ap-6861	168	9	r	r	NOUN
ap-6861	168	10	2	2	NUM
ap-6861	168	11	figure	figure	NOUN
ap-6861	168	12	12	12	NUM
ap-6861	168	13	.	.	PUNCT
ap-6861	169	1	roller	roller	NOUN
ap-6861	169	2	bearing	bearing	NOUN
ap-6861	169	3	.	.	PUNCT
ap-6861	170	1	r1	r1	PROPN
ap-6861	170	2	r2	r2	PROPN
ap-6861	170	3	<	<	X
ap-6861	170	4	a	a	DET
ap-6861	170	5	a	a	DET
ap-6861	170	6	pmax	pmax	NOUN
ap-6861	171	1	σv	σv	NOUN
ap-6861	171	2	m	m	PROPN
ap-6861	172	1	[	[	X
ap-6861	172	2	mm	mm	X
ap-6861	172	3	]	]	X
ap-6861	173	1	[	[	X
ap-6861	173	2	mm	mm	X
ap-6861	173	3	]	]	X
ap-6861	174	1	[	[	X
ap-6861	174	2	mm−1	mm−1	X
ap-6861	174	3	]	]	PUNCT
ap-6861	175	1	[	[	X
ap-6861	175	2	mm	mm	X
ap-6861	175	3	]	]	X
ap-6861	175	4	[	[	X
ap-6861	175	5	mm2	mm2	X
ap-6861	175	6	]	]	X
ap-6861	175	7	[	[	X
ap-6861	175	8	mpa	mpa	X
ap-6861	175	9	]	]	X
ap-6861	176	1	[	[	X
ap-6861	176	2	mpa	mpa	X
ap-6861	176	3	]	]	X
ap-6861	176	4	3.00	3.00	NUM
ap-6861	176	5	40	40	NUM
ap-6861	176	6	0.1792	0.1792	NUM
ap-6861	176	7	0.1249	0.1249	NUM
ap-6861	176	8	2.4975	2.4975	NUM
ap-6861	176	9	2549	2549	NUM
ap-6861	176	10	4211	4211	NUM
ap-6861	176	11	3.50	3.50	NUM
ap-6861	176	12	40	40	NUM
ap-6861	176	13	0.1554	0.1554	NUM
ap-6861	176	14	0.1341	0.1341	NUM
ap-6861	176	15	2.6820	2.6820	NUM
ap-6861	176	16	2373	2373	NUM
ap-6861	176	17	3921	3921	NUM
ap-6861	176	18	4.00	4.00	NUM
ap-6861	176	19	40	40	NUM
ap-6861	176	20	0.1375	0.1375	NUM
ap-6861	176	21	0.1425	0.1425	NUM
ap-6861	176	22	2.8509	2.8509	NUM
ap-6861	176	23	2233	2233	NUM
ap-6861	176	24	3689	3689	NUM
ap-6861	176	25	4.50	4.50	NUM
ap-6861	176	26	40	40	NUM
ap-6861	176	27	0.1236	0.1236	NUM
ap-6861	176	28	0.1503	0.1503	NUM
ap-6861	176	29	3.0068	3.0068	NUM
ap-6861	176	30	2117	2117	NUM
ap-6861	176	31	3498	3498	NUM
ap-6861	176	32	5.00	5.00	NUM
ap-6861	176	33	40	40	NUM
ap-6861	176	34	0.1125	0.1125	NUM
ap-6861	176	35	0.1576	0.1576	NUM
ap-6861	176	36	3.1518	3.1518	NUM
ap-6861	176	37	2019	2019	NUM
ap-6861	176	38	3337	3337	NUM
ap-6861	176	39	5.50	5.50	NUM
ap-6861	176	40	40	40	NUM
ap-6861	176	41	0.1034	0.1034	NUM
ap-6861	176	42	0.1644	0.1644	NUM
ap-6861	176	43	3.2874	3.2874	NUM
ap-6861	176	44	1936	1936	NUM
ap-6861	176	45	3199	3199	NUM
ap-6861	176	46	6.00	6.00	NUM
ap-6861	176	47	40	40	NUM
ap-6861	176	48	0.0958	0.0958	NUM
ap-6861	176	49	0.1707	0.1707	NUM
ap-6861	176	50	3.4149	3.4149	NUM
ap-6861	176	51	1864	1864	NUM
ap-6861	176	52	3080	3080	NUM
ap-6861	176	53	table	table	NOUN
ap-6861	176	54	5	5	NUM
ap-6861	176	55	.	.	PUNCT
ap-6861	176	56	contact	contact	NOUN
ap-6861	176	57	pressure	pressure	NOUN
ap-6861	176	58	and	and	CCONJ
ap-6861	176	59	von	von	PROPN
ap-6861	176	60	mises	mises	PROPN
ap-6861	176	61	stress	stress	VERB
ap-6861	176	62	results	result	VERB
ap-6861	176	63	for	for	ADP
ap-6861	176	64	a	a	DET
ap-6861	176	65	varying	vary	VERB
ap-6861	176	66	radius	radius	NOUN
ap-6861	176	67	of	of	ADP
ap-6861	176	68	the	the	DET
ap-6861	176	69	roller	roller	NOUN
ap-6861	176	70	element	element	NOUN
ap-6861	176	71	.	.	PUNCT
ap-6861	177	1	figure	figure	NOUN
ap-6861	177	2	13	13	NUM
ap-6861	177	3	.	.	PUNCT
ap-6861	178	1	relation	relation	NOUN
ap-6861	178	2	between	between	ADP
ap-6861	178	3	the	the	DET
ap-6861	178	4	contact	contact	NOUN
ap-6861	178	5	area	area	NOUN
ap-6861	178	6	and	and	CCONJ
ap-6861	178	7	the	the	DET
ap-6861	178	8	radius	radius	NOUN
ap-6861	178	9	of	of	ADP
ap-6861	178	10	the	the	DET
ap-6861	178	11	roller	roller	NOUN
ap-6861	178	12	element	element	NOUN
ap-6861	178	13	.	.	PUNCT
ap-6861	179	1	figure	figure	NOUN
ap-6861	179	2	14	14	NUM
ap-6861	179	3	.	.	PUNCT
ap-6861	180	1	relation	relation	NOUN
ap-6861	180	2	between	between	ADP
ap-6861	180	3	the	the	DET
ap-6861	180	4	maximum	maximum	ADJ
ap-6861	180	5	contact	contact	NOUN
ap-6861	180	6	pressure	pressure	NOUN
ap-6861	180	7	and	and	CCONJ
ap-6861	180	8	the	the	DET
ap-6861	180	9	radius	radius	NOUN
ap-6861	180	10	of	of	ADP
ap-6861	180	11	the	the	DET
ap-6861	180	12	roller	roller	NOUN
ap-6861	180	13	element	element	NOUN
ap-6861	180	14	.	.	PUNCT
ap-6861	181	1	170	170	NUM
ap-6861	181	2	vol	vol	NOUN
ap-6861	181	3	.	.	PROPN
ap-6861	182	1	61	61	NUM
ap-6861	182	2	no	no	NOUN
ap-6861	182	3	.	.	PUNCT
ap-6861	183	1	1/2021	1/2021	NUM
ap-6861	183	2	effects	effect	NOUN
ap-6861	183	3	of	of	ADP
ap-6861	183	4	design	design	NOUN
ap-6861	183	5	parameters	parameter	NOUN
ap-6861	183	6	on	on	ADP
ap-6861	183	7	static	static	ADJ
ap-6861	183	8	equivalent	equivalent	ADJ
ap-6861	183	9	stress	stress	NOUN
ap-6861	183	10	.	.	PUNCT
ap-6861	183	11	.	.	PUNCT
ap-6861	183	12	.	.	PUNCT
ap-6861	184	1	figure	figure	VERB
ap-6861	184	2	15	15	NUM
ap-6861	184	3	.	.	PUNCT
ap-6861	185	1	relation	relation	NOUN
ap-6861	185	2	between	between	ADP
ap-6861	185	3	von	von	PROPN
ap-6861	185	4	mises	mises	PROPN
ap-6861	185	5	stress	stress	NOUN
ap-6861	185	6	and	and	CCONJ
ap-6861	185	7	the	the	DET
ap-6861	185	8	radius	radius	NOUN
ap-6861	185	9	of	of	ADP
ap-6861	185	10	the	the	DET
ap-6861	185	11	roller	roller	NOUN
ap-6861	185	12	element	element	NOUN
ap-6861	185	13	.	.	PUNCT
ap-6861	186	1	e1	e1	PROPN
ap-6861	186	2	e2	e2	PROPN
ap-6861	186	3	<	<	X
ap-6861	186	4	a	a	DET
ap-6861	186	5	a	a	DET
ap-6861	186	6	pmax	pmax	NOUN
ap-6861	187	1	σv	σv	NOUN
ap-6861	187	2	m	m	PROPN
ap-6861	188	1	[	[	X
ap-6861	188	2	mpa	mpa	X
ap-6861	188	3	]	]	X
ap-6861	189	1	[	[	X
ap-6861	189	2	mpa	mpa	X
ap-6861	189	3	]	]	X
ap-6861	190	1	[	[	X
ap-6861	190	2	mm−1	mm−1	X
ap-6861	190	3	]	]	PUNCT
ap-6861	191	1	[	[	X
ap-6861	191	2	mm	mm	X
ap-6861	191	3	]	]	X
ap-6861	191	4	[	[	X
ap-6861	191	5	mm2	mm2	X
ap-6861	191	6	]	]	X
ap-6861	191	7	[	[	X
ap-6861	191	8	mpa	mpa	X
ap-6861	191	9	]	]	X
ap-6861	192	1	[	[	X
ap-6861	192	2	mpa	mpa	X
ap-6861	192	3	]	]	X
ap-6861	192	4	180000	180000	NUM
ap-6861	192	5	210000	210000	NUM
ap-6861	192	6	0.1125	0.1125	NUM
ap-6861	192	7	0.1640	0.1640	NUM
ap-6861	192	8	3.2805	3.2805	NUM
ap-6861	192	9	1940	1940	NUM
ap-6861	192	10	3206	3206	NUM
ap-6861	192	11	190000	190000	NUM
ap-6861	192	12	210000	210000	NUM
ap-6861	192	13	0.1125	0.1125	NUM
ap-6861	192	14	0.1617	0.1617	NUM
ap-6861	192	15	3.2337	3.2337	NUM
ap-6861	192	16	1968	1968	NUM
ap-6861	192	17	3252	3252	NUM
ap-6861	192	18	200000	200000	NUM
ap-6861	192	19	210000	210000	NUM
ap-6861	192	20	0.1125	0.1125	NUM
ap-6861	192	21	0.1595	0.1595	NUM
ap-6861	192	22	3.1909	3.1909	NUM
ap-6861	192	23	1995	1995	NUM
ap-6861	192	24	3296	3296	NUM
ap-6861	192	25	210000	210000	NUM
ap-6861	192	26	210000	210000	NUM
ap-6861	192	27	0.1125	0.1125	NUM
ap-6861	192	28	0.1576	0.1576	NUM
ap-6861	192	29	3.1518	3.1518	NUM
ap-6861	192	30	2019	2019	NUM
ap-6861	192	31	3337	3337	NUM
ap-6861	192	32	220000	220000	NUM
ap-6861	192	33	210000	210000	NUM
ap-6861	192	34	0.1125	0.1125	NUM
ap-6861	192	35	0.1558	0.1558	NUM
ap-6861	192	36	3.1158	3.1158	NUM
ap-6861	192	37	2043	2043	NUM
ap-6861	192	38	3376	3376	NUM
ap-6861	192	39	230000	230000	NUM
ap-6861	192	40	210000	210000	NUM
ap-6861	192	41	0.1125	0.1125	NUM
ap-6861	192	42	0.1541	0.1541	NUM
ap-6861	192	43	3.0825	3.0825	NUM
ap-6861	192	44	2065	2065	NUM
ap-6861	192	45	3412	3412	NUM
ap-6861	192	46	240000	240000	NUM
ap-6861	192	47	210000	210000	NUM
ap-6861	192	48	0.1125	0.1125	NUM
ap-6861	192	49	0.1526	0.1526	NUM
ap-6861	192	50	3.0517	3.0517	NUM
ap-6861	192	51	2086	2086	NUM
ap-6861	192	52	3446	3446	NUM
ap-6861	192	53	table	table	NOUN
ap-6861	192	54	6	6	NUM
ap-6861	192	55	.	.	PUNCT
ap-6861	192	56	contact	contact	NOUN
ap-6861	192	57	pressure	pressure	NOUN
ap-6861	192	58	and	and	CCONJ
ap-6861	192	59	von	von	PROPN
ap-6861	192	60	mises	mises	PROPN
ap-6861	192	61	stress	stress	VERB
ap-6861	192	62	for	for	ADP
ap-6861	192	63	a	a	DET
ap-6861	192	64	varying	vary	VERB
ap-6861	192	65	elasticity	elasticity	NOUN
ap-6861	192	66	modulus	modulus	NOUN
ap-6861	192	67	of	of	ADP
ap-6861	192	68	the	the	DET
ap-6861	192	69	roller	roller	NOUN
ap-6861	192	70	element	element	NOUN
ap-6861	192	71	.	.	PUNCT
ap-6861	193	1	figure	figure	NOUN
ap-6861	193	2	16	16	NUM
ap-6861	193	3	.	.	PUNCT
ap-6861	194	1	relation	relation	NOUN
ap-6861	194	2	between	between	ADP
ap-6861	194	3	the	the	DET
ap-6861	194	4	contact	contact	NOUN
ap-6861	194	5	area	area	NOUN
ap-6861	194	6	and	and	CCONJ
ap-6861	194	7	elasticity	elasticity	NOUN
ap-6861	194	8	modulus	modulus	NOUN
ap-6861	194	9	.	.	PUNCT
ap-6861	195	1	figure	figure	NOUN
ap-6861	195	2	17	17	NUM
ap-6861	195	3	.	.	PUNCT
ap-6861	196	1	relation	relation	NOUN
ap-6861	196	2	between	between	ADP
ap-6861	196	3	the	the	DET
ap-6861	196	4	maximum	maximum	ADJ
ap-6861	196	5	contact	contact	NOUN
ap-6861	196	6	pressure	pressure	NOUN
ap-6861	196	7	and	and	CCONJ
ap-6861	196	8	elasticity	elasticity	NOUN
ap-6861	196	9	modulus	modulus	NOUN
ap-6861	196	10	.	.	PUNCT
ap-6861	197	1	d	d	X
ap-6861	197	2	d	d	X
ap-6861	197	3	b	b	PROPN
ap-6861	197	4	d1	d1	PROPN
ap-6861	197	5	f	f	PROPN
ap-6861	198	1	[	[	X
ap-6861	198	2	mm	mm	X
ap-6861	198	3	]	]	X
ap-6861	199	1	[	[	X
ap-6861	199	2	mm	mm	X
ap-6861	199	3	]	]	X
ap-6861	200	1	[	[	X
ap-6861	200	2	mm	mm	X
ap-6861	200	3	]	]	X
ap-6861	200	4	[	[	X
ap-6861	200	5	mm	mm	X
ap-6861	200	6	]	]	X
ap-6861	200	7	[	[	X
ap-6861	200	8	mm	mm	X
ap-6861	200	9	]	]	X
ap-6861	200	10	70	70	NUM
ap-6861	200	11	110	110	NUM
ap-6861	200	12	20	20	NUM
ap-6861	200	13	95.7	95.7	NUM
ap-6861	200	14	90	90	NUM
ap-6861	200	15	table	table	NOUN
ap-6861	200	16	7	7	NUM
ap-6861	200	17	.	.	PUNCT
ap-6861	200	18	basic	basic	ADJ
ap-6861	200	19	dimensions	dimension	NOUN
ap-6861	200	20	of	of	ADP
ap-6861	200	21	standard	standard	ADJ
ap-6861	200	22	nu	nu	PROPN
ap-6861	200	23	1014	1014	NUM
ap-6861	200	24	roller	roller	NOUN
ap-6861	200	25	bearing	bearing	NOUN
ap-6861	200	26	.	.	PUNCT
ap-6861	201	1	171	171	NUM
ap-6861	201	2	mehmet	mehmet	PROPN
ap-6861	201	3	bozca	bozca	PROPN
ap-6861	201	4	acta	acta	PROPN
ap-6861	201	5	polytechnica	polytechnica	PROPN
ap-6861	201	6	figure	figure	NOUN
ap-6861	201	7	18	18	NUM
ap-6861	201	8	.	.	PUNCT
ap-6861	202	1	relation	relation	NOUN
ap-6861	202	2	between	between	ADP
ap-6861	202	3	von	von	PROPN
ap-6861	202	4	mises	mises	PROPN
ap-6861	202	5	stress	stress	NOUN
ap-6861	202	6	and	and	CCONJ
ap-6861	202	7	elasticity	elasticity	NOUN
ap-6861	202	8	modulus	modulus	NOUN
ap-6861	202	9	.	.	PUNCT
ap-6861	203	1	r1	r1	PROPN
ap-6861	203	2	r2	r2	PROPN
ap-6861	203	3	<	<	X
ap-6861	203	4	a	a	DET
ap-6861	203	5	a	a	DET
ap-6861	203	6	pmax	pmax	NOUN
ap-6861	203	7	σv	σv	NOUN
ap-6861	203	8	m	m	PROPN
ap-6861	204	1	[	[	X
ap-6861	204	2	mm	mm	X
ap-6861	204	3	]	]	X
ap-6861	205	1	[	[	X
ap-6861	205	2	mm	mm	X
ap-6861	205	3	]	]	X
ap-6861	206	1	[	[	X
ap-6861	206	2	mm−1	mm−1	X
ap-6861	206	3	]	]	PUNCT
ap-6861	207	1	[	[	X
ap-6861	207	2	mm	mm	X
ap-6861	207	3	]	]	X
ap-6861	207	4	[	[	X
ap-6861	207	5	mm2	mm2	X
ap-6861	207	6	]	]	X
ap-6861	207	7	[	[	X
ap-6861	207	8	mpa	mpa	X
ap-6861	207	9	]	]	X
ap-6861	208	1	[	[	X
ap-6861	208	2	mpa	mpa	X
ap-6861	208	3	]	]	X
ap-6861	208	4	8.00	8.00	NUM
ap-6861	208	5	40	40	NUM
ap-6861	208	6	0.7050	0.7050	NUM
ap-6861	208	7	0.1930	0.1930	NUM
ap-6861	208	8	3.8601	3.8601	NUM
ap-6861	208	9	1649	1649	NUM
ap-6861	208	10	2725	2725	NUM
ap-6861	208	11	table	table	NOUN
ap-6861	208	12	8	8	NUM
ap-6861	208	13	.	.	PUNCT
ap-6861	209	1	contact	contact	NOUN
ap-6861	209	2	pressure	pressure	NOUN
ap-6861	209	3	and	and	CCONJ
ap-6861	209	4	von	von	PROPN
ap-6861	209	5	mises	mises	PROPN
ap-6861	209	6	stress	stress	VERB
ap-6861	209	7	results	result	NOUN
ap-6861	209	8	for	for	ADP
ap-6861	209	9	standard	standard	ADJ
ap-6861	209	10	nu	nu	PROPN
ap-6861	209	11	1014	1014	NUM
ap-6861	209	12	roller	roller	NOUN
ap-6861	209	13	bearings	bearing	NOUN
ap-6861	209	14	.	.	PUNCT
ap-6861	210	1	d	d	X
ap-6861	210	2	b	b	X
ap-6861	211	1	d	d	X
ap-6861	211	2	f	f	NOUN
ap-6861	211	3	r	r	NOUN
ap-6861	211	4	1	1	NUM
ap-6861	211	5	d	d	SYM
ap-6861	211	6	1	1	NUM
ap-6861	211	7	=	=	SYM
ap-6861	211	8	2	2	NUM
ap-6861	211	9	r	r	NOUN
ap-6861	211	10	2	2	NUM
ap-6861	211	11	figure	figure	NOUN
ap-6861	211	12	19	19	NUM
ap-6861	211	13	.	.	PUNCT
ap-6861	211	14	basic	basic	ADJ
ap-6861	211	15	dimensions	dimension	NOUN
ap-6861	211	16	of	of	ADP
ap-6861	211	17	nu	nu	PROPN
ap-6861	211	18	1014	1014	NUM
ap-6861	211	19	roller	roller	NOUN
ap-6861	211	20	bearing	bearing	NOUN
ap-6861	211	21	.	.	PUNCT
ap-6861	212	1	patch	patch	PROPN
ap-6861	212	2	radius	radius	PROPN
ap-6861	212	3	a	a	PRON
ap-6861	212	4	from	from	ADP
ap-6861	212	5	0.1249	0.1249	NUM
ap-6861	213	1	[	[	X
ap-6861	213	2	mm	mm	X
ap-6861	213	3	]	]	X
ap-6861	213	4	to	to	ADP
ap-6861	213	5	0.1707	0.1707	NUM
ap-6861	214	1	[	[	X
ap-6861	214	2	mm	mm	X
ap-6861	214	3	]	]	X
ap-6861	214	4	,	,	PUNCT
ap-6861	214	5	as	as	SCONJ
ap-6861	214	6	reported	report	VERB
ap-6861	214	7	in	in	ADP
ap-6861	214	8	table	table	NOUN
ap-6861	214	9	5	5	NUM
ap-6861	214	10	.	.	PUNCT
ap-6861	215	1	increasing	increase	VERB
ap-6861	215	2	the	the	DET
ap-6861	215	3	elasticity	elasticity	NOUN
ap-6861	215	4	modulus	modulus	NOUN
ap-6861	215	5	of	of	ADP
ap-6861	215	6	the	the	DET
ap-6861	215	7	roller	roller	NOUN
ap-6861	215	8	element	element	NOUN
ap-6861	215	9	e1	e1	PROPN
ap-6861	215	10	from	from	ADP
ap-6861	215	11	180000	180000	NUM
ap-6861	215	12	[	[	X
ap-6861	215	13	n	n	CCONJ
ap-6861	215	14	/	/	SYM
ap-6861	215	15	mm2	mm2	NOUN
ap-6861	215	16	]	]	X
ap-6861	215	17	to	to	ADP
ap-6861	215	18	240000	240000	NUM
ap-6861	215	19	[	[	X
ap-6861	215	20	n	n	CCONJ
ap-6861	215	21	/	/	SYM
ap-6861	215	22	mm2	mm2	NOUN
ap-6861	215	23	]	]	X
ap-6861	215	24	results	result	VERB
ap-6861	215	25	in	in	ADP
ap-6861	215	26	a	a	DET
ap-6861	215	27	decreased	decrease	VERB
ap-6861	215	28	contact	contact	NOUN
ap-6861	215	29	area	area	NOUN
ap-6861	215	30	a	a	PRON
ap-6861	215	31	from	from	ADP
ap-6861	215	32	3.2805	3.2805	NUM
ap-6861	215	33	[	[	X
ap-6861	215	34	mm2	mm2	X
ap-6861	215	35	]	]	X
ap-6861	215	36	to	to	ADP
ap-6861	215	37	3.0825	3.0825	NUM
ap-6861	215	38	[	[	X
ap-6861	215	39	mm2	mm2	X
ap-6861	215	40	]	]	X
ap-6861	215	41	while	while	SCONJ
ap-6861	215	42	keeping	keep	VERB
ap-6861	215	43	the	the	DET
ap-6861	215	44	geometry	geometry	NOUN
ap-6861	215	45	constant	constant	ADJ
ap-6861	215	46	as	as	ADP
ap-6861	215	47	constant	constant	ADJ
ap-6861	215	48	.	.	PUNCT
ap-6861	216	1	in	in	ADP
ap-6861	216	2	contrast	contrast	NOUN
ap-6861	216	3	,	,	PUNCT
ap-6861	216	4	increasing	increase	VERB
ap-6861	216	5	the	the	DET
ap-6861	216	6	elasticity	elasticity	NOUN
ap-6861	216	7	modulus	modulus	NOUN
ap-6861	216	8	of	of	ADP
ap-6861	216	9	the	the	DET
ap-6861	216	10	roller	roller	NOUN
ap-6861	216	11	element	element	NOUN
ap-6861	216	12	e1	e1	NOUN
ap-6861	216	13	results	result	NOUN
ap-6861	216	14	in	in	ADP
ap-6861	216	15	a	a	DET
ap-6861	216	16	reduced	reduce	VERB
ap-6861	216	17	contact	contact	NOUN
ap-6861	216	18	-	-	PUNCT
ap-6861	216	19	patch	patch	NOUN
ap-6861	216	20	radius	radius	NOUN
ap-6861	216	21	a	a	PRON
ap-6861	216	22	from	from	ADP
ap-6861	216	23	0.1640	0.1640	NUM
ap-6861	217	1	[	[	X
ap-6861	217	2	mm	mm	X
ap-6861	217	3	]	]	X
ap-6861	217	4	to	to	ADP
ap-6861	217	5	0.1526	0.1526	NUM
ap-6861	218	1	[	[	X
ap-6861	218	2	mm	mm	X
ap-6861	218	3	]	]	X
ap-6861	218	4	,	,	PUNCT
ap-6861	218	5	as	as	SCONJ
ap-6861	218	6	reported	report	VERB
ap-6861	218	7	in	in	ADP
ap-6861	218	8	table	table	NOUN
ap-6861	218	9	6	6	NUM
ap-6861	218	10	.	.	NOUN
ap-6861	218	11	5	5	NUM
ap-6861	218	12	.	.	X
ap-6861	218	13	conclusion	conclusion	VERB
ap-6861	218	14	the	the	DET
ap-6861	218	15	purpose	purpose	NOUN
ap-6861	218	16	of	of	ADP
ap-6861	218	17	this	this	DET
ap-6861	218	18	study	study	NOUN
ap-6861	218	19	is	be	AUX
ap-6861	218	20	a	a	DET
ap-6861	218	21	theoretical	theoretical	ADJ
ap-6861	218	22	investigation	investigation	NOUN
ap-6861	218	23	of	of	ADP
ap-6861	218	24	the	the	DET
ap-6861	218	25	effects	effect	NOUN
ap-6861	218	26	of	of	ADP
ap-6861	218	27	design	design	NOUN
ap-6861	218	28	parameters	parameter	NOUN
ap-6861	218	29	on	on	ADP
ap-6861	218	30	the	the	DET
ap-6861	218	31	static	static	ADJ
ap-6861	218	32	equivalent	equivalent	ADJ
ap-6861	218	33	stress	stress	NOUN
ap-6861	218	34	of	of	ADP
ap-6861	218	35	radial	radial	ADJ
ap-6861	218	36	rolling	rolling	ADJ
ap-6861	218	37	bearings	bearing	NOUN
ap-6861	218	38	,	,	PUNCT
ap-6861	218	39	such	such	ADJ
ap-6861	218	40	as	as	ADP
ap-6861	218	41	ball	ball	NOUN
ap-6861	218	42	bearings	bearing	NOUN
ap-6861	218	43	and	and	CCONJ
ap-6861	218	44	roller	roller	NOUN
ap-6861	218	45	bearings	bearing	NOUN
ap-6861	218	46	.	.	PUNCT
ap-6861	219	1	for	for	ADP
ap-6861	219	2	the	the	DET
ap-6861	219	3	point	point	NOUN
ap-6861	219	4	contact	contact	NOUN
ap-6861	219	5	case	case	NOUN
ap-6861	219	6	of	of	ADP
ap-6861	219	7	ball	ball	NOUN
ap-6861	219	8	bearings	bearing	NOUN
ap-6861	219	9	and	and	CCONJ
ap-6861	219	10	for	for	ADP
ap-6861	219	11	the	the	DET
ap-6861	219	12	line	line	NOUN
ap-6861	219	13	contact	contact	NOUN
ap-6861	219	14	case	case	NOUN
ap-6861	219	15	of	of	ADP
ap-6861	219	16	roller	roller	NOUN
ap-6861	219	17	bearings	bearing	NOUN
ap-6861	219	18	,	,	PUNCT
ap-6861	219	19	the	the	DET
ap-6861	219	20	maximum	maximum	ADJ
ap-6861	219	21	contact	contact	NOUN
ap-6861	219	22	pressure	pressure	NOUN
ap-6861	219	23	pmax	pmax	NOUN
ap-6861	219	24	for	for	ADP
ap-6861	219	25	varying	vary	VERB
ap-6861	219	26	design	design	NOUN
ap-6861	219	27	parameters	parameter	NOUN
ap-6861	219	28	is	be	AUX
ap-6861	219	29	calculated	calculate	VERB
ap-6861	219	30	.	.	PUNCT
ap-6861	220	1	the	the	DET
ap-6861	220	2	contact	contact	NOUN
ap-6861	220	3	stress	stress	NOUN
ap-6861	220	4	is	be	AUX
ap-6861	220	5	calculated	calculate	VERB
ap-6861	220	6	according	accord	VERB
ap-6861	220	7	to	to	ADP
ap-6861	220	8	the	the	DET
ap-6861	220	9	von	von	PROPN
ap-6861	220	10	mises	mises	PROPN
ap-6861	220	11	effective	effective	ADJ
ap-6861	220	12	stress	stress	NOUN
ap-6861	220	13	hypothesis	hypothesis	NOUN
ap-6861	220	14	.	.	PUNCT
ap-6861	221	1	the	the	DET
ap-6861	221	2	following	follow	VERB
ap-6861	221	3	results	result	NOUN
ap-6861	221	4	are	be	AUX
ap-6861	221	5	obtained	obtain	VERB
ap-6861	221	6	for	for	ADP
ap-6861	221	7	the	the	DET
ap-6861	221	8	point	point	NOUN
ap-6861	221	9	contact	contact	NOUN
ap-6861	221	10	case	case	NOUN
ap-6861	221	11	of	of	ADP
ap-6861	221	12	a	a	DET
ap-6861	221	13	ball	ball	NOUN
ap-6861	221	14	bearing	bear	VERB
ap-6861	221	15	application	application	NOUN
ap-6861	221	16	and	and	CCONJ
ap-6861	221	17	for	for	ADP
ap-6861	221	18	the	the	DET
ap-6861	221	19	line	line	NOUN
ap-6861	221	20	contact	contact	NOUN
ap-6861	221	21	case	case	NOUN
ap-6861	221	22	of	of	ADP
ap-6861	221	23	a	a	DET
ap-6861	221	24	roller	roller	NOUN
ap-6861	221	25	bearing	bear	VERB
ap-6861	221	26	application	application	NOUN
ap-6861	221	27	:	:	PUNCT
ap-6861	221	28	(	(	PUNCT
ap-6861	221	29	1	1	X
ap-6861	221	30	.	.	PUNCT
ap-6861	221	31	)	)	PUNCT
ap-6861	221	32	increasing	increase	VERB
ap-6861	221	33	the	the	DET
ap-6861	221	34	radius	radius	NOUN
ap-6861	221	35	of	of	ADP
ap-6861	221	36	the	the	DET
ap-6861	221	37	ball	ball	NOUN
ap-6861	221	38	and	and	CCONJ
ap-6861	221	39	roller	roller	NOUN
ap-6861	221	40	elements	element	NOUN
ap-6861	221	41	r1	r1	NOUN
ap-6861	221	42	results	result	NOUN
ap-6861	221	43	in	in	ADP
ap-6861	221	44	a	a	DET
ap-6861	221	45	decreased	decrease	VERB
ap-6861	221	46	geometry	geometry	NOUN
ap-6861	221	47	constant	constant	ADJ
ap-6861	221	48	<	<	X
ap-6861	221	49	.	.	PUNCT
ap-6861	222	1	in	in	ADP
ap-6861	222	2	contrast	contrast	NOUN
ap-6861	222	3	,	,	PUNCT
ap-6861	222	4	increasing	increase	VERB
ap-6861	222	5	the	the	DET
ap-6861	222	6	radius	radius	NOUN
ap-6861	222	7	of	of	ADP
ap-6861	222	8	the	the	DET
ap-6861	222	9	ball	ball	NOUN
ap-6861	222	10	and	and	CCONJ
ap-6861	222	11	roller	roller	NOUN
ap-6861	222	12	elements	element	NOUN
ap-6861	222	13	r1	r1	NOUN
ap-6861	222	14	results	result	NOUN
ap-6861	222	15	in	in	ADP
ap-6861	222	16	an	an	DET
ap-6861	222	17	increased	increase	VERB
ap-6861	222	18	contact	contact	NOUN
ap-6861	222	19	area	area	NOUN
ap-6861	222	20	a	a	NOUN
ap-6861	222	21	,	,	PUNCT
ap-6861	222	22	due	due	ADP
ap-6861	222	23	to	to	ADP
ap-6861	222	24	the	the	DET
ap-6861	222	25	increased	increase	VERB
ap-6861	222	26	contact	contact	NOUN
ap-6861	222	27	-	-	PUNCT
ap-6861	222	28	patch	patch	NOUN
ap-6861	222	29	radius	radius	NOUN
ap-6861	222	30	a.	a.	NOUN
ap-6861	222	31	(	(	PUNCT
ap-6861	222	32	2	2	NUM
ap-6861	222	33	.	.	PUNCT
ap-6861	222	34	)	)	PUNCT
ap-6861	222	35	increasing	increase	VERB
ap-6861	222	36	the	the	DET
ap-6861	222	37	radius	radius	NOUN
ap-6861	222	38	of	of	ADP
ap-6861	222	39	the	the	DET
ap-6861	222	40	ball	ball	NOUN
ap-6861	222	41	and	and	CCONJ
ap-6861	222	42	roller	roller	NOUN
ap-6861	222	43	elements	element	NOUN
ap-6861	222	44	results	result	VERB
ap-6861	222	45	in	in	ADP
ap-6861	222	46	a	a	DET
ap-6861	222	47	decreased	decrease	VERB
ap-6861	222	48	maximum	maximum	ADJ
ap-6861	222	49	contact	contact	NOUN
ap-6861	222	50	pmax	pmax	NOUN
ap-6861	222	51	and	and	CCONJ
ap-6861	222	52	von	von	PROPN
ap-6861	222	53	mises	mises	PROPN
ap-6861	222	54	effective	effective	ADJ
ap-6861	222	55	stress	stress	NOUN
ap-6861	222	56	σv	σv	PROPN
ap-6861	222	57	m	m	PROPN
ap-6861	222	58	.	.	PUNCT
ap-6861	223	1	(	(	PUNCT
ap-6861	223	2	3	3	X
ap-6861	223	3	.	.	PUNCT
ap-6861	223	4	)	)	PUNCT
ap-6861	223	5	increasing	increase	VERB
ap-6861	223	6	the	the	DET
ap-6861	223	7	elasticity	elasticity	NOUN
ap-6861	223	8	modulus	modulus	NOUN
ap-6861	223	9	of	of	ADP
ap-6861	223	10	the	the	DET
ap-6861	223	11	ball	ball	NOUN
ap-6861	223	12	and	and	CCONJ
ap-6861	223	13	roller	roller	NOUN
ap-6861	223	14	elements	element	NOUN
ap-6861	223	15	e1	e1	NOUN
ap-6861	223	16	results	result	NOUN
ap-6861	223	17	in	in	ADP
ap-6861	223	18	a	a	DET
ap-6861	223	19	constant	constant	ADJ
ap-6861	223	20	geometry	geometry	NOUN
ap-6861	223	21	constant	constant	ADJ
ap-6861	223	22	<	<	X
ap-6861	223	23	.	.	PUNCT
ap-6861	224	1	in	in	ADP
ap-6861	224	2	contrast	contrast	NOUN
ap-6861	224	3	,	,	PUNCT
ap-6861	224	4	increasing	increase	VERB
ap-6861	224	5	the	the	DET
ap-6861	224	6	elasticity	elasticity	NOUN
ap-6861	224	7	modulus	modulus	NOUN
ap-6861	224	8	of	of	ADP
ap-6861	224	9	the	the	DET
ap-6861	224	10	ball	ball	NOUN
ap-6861	224	11	and	and	CCONJ
ap-6861	224	12	roller	roller	NOUN
ap-6861	224	13	elements	element	NOUN
ap-6861	224	14	e1	e1	NOUN
ap-6861	224	15	results	result	NOUN
ap-6861	224	16	in	in	ADP
ap-6861	224	17	a	a	DET
ap-6861	224	18	decreased	decrease	VERB
ap-6861	224	19	contact	contact	NOUN
ap-6861	224	20	area	area	NOUN
ap-6861	224	21	a	a	NOUN
ap-6861	224	22	,	,	PUNCT
ap-6861	224	23	due	due	ADP
ap-6861	224	24	to	to	ADP
ap-6861	224	25	the	the	DET
ap-6861	224	26	decreased	decrease	VERB
ap-6861	224	27	contact	contact	NOUN
ap-6861	224	28	-	-	PUNCT
ap-6861	224	29	patch	patch	NOUN
ap-6861	224	30	radius	radius	NOUN
ap-6861	224	31	a.	a.	NOUN
ap-6861	224	32	(	(	PUNCT
ap-6861	224	33	4	4	NUM
ap-6861	224	34	.	.	PUNCT
ap-6861	224	35	)	)	PUNCT
ap-6861	224	36	increasing	increase	VERB
ap-6861	224	37	the	the	DET
ap-6861	224	38	elasticity	elasticity	NOUN
ap-6861	224	39	modulus	modulus	NOUN
ap-6861	224	40	of	of	ADP
ap-6861	224	41	the	the	DET
ap-6861	224	42	ball	ball	NOUN
ap-6861	224	43	and	and	CCONJ
ap-6861	224	44	roller	roller	NOUN
ap-6861	224	45	elements	element	NOUN
ap-6861	224	46	results	result	VERB
ap-6861	224	47	in	in	ADP
ap-6861	224	48	an	an	DET
ap-6861	224	49	increased	increase	VERB
ap-6861	224	50	maximum	maximum	ADJ
ap-6861	224	51	contact	contact	NOUN
ap-6861	224	52	pressure	pressure	NOUN
ap-6861	224	53	pmax	pmax	NOUN
ap-6861	224	54	and	and	CCONJ
ap-6861	224	55	von	von	PROPN
ap-6861	224	56	mises	mises	PROPN
ap-6861	224	57	effective	effective	ADJ
ap-6861	224	58	stress	stress	NOUN
ap-6861	224	59	σv	σv	ADP
ap-6861	224	60	m	m	PROPN
ap-6861	224	61	,	,	PUNCT
ap-6861	224	62	because	because	SCONJ
ap-6861	224	63	of	of	ADP
ap-6861	224	64	the	the	DET
ap-6861	224	65	decreased	decrease	VERB
ap-6861	224	66	contact	contact	NOUN
ap-6861	224	67	area	area	NOUN
ap-6861	224	68	.	.	PUNCT
ap-6861	225	1	the	the	DET
ap-6861	225	2	determination	determination	NOUN
ap-6861	225	3	of	of	ADP
ap-6861	225	4	the	the	DET
ap-6861	225	5	diameters	diameter	NOUN
ap-6861	225	6	and	and	CCONJ
ap-6861	225	7	the	the	DET
ap-6861	225	8	selection	selection	NOUN
ap-6861	225	9	of	of	ADP
ap-6861	225	10	material	material	NOUN
ap-6861	225	11	of	of	ADP
ap-6861	225	12	the	the	DET
ap-6861	225	13	ball	ball	NOUN
ap-6861	225	14	and	and	CCONJ
ap-6861	225	15	roller	roller	NOUN
ap-6861	225	16	elements	element	NOUN
ap-6861	225	17	are	be	AUX
ap-6861	225	18	crucial	crucial	ADJ
ap-6861	225	19	and	and	CCONJ
ap-6861	225	20	play	play	VERB
ap-6861	225	21	an	an	DET
ap-6861	225	22	effective	effective	ADJ
ap-6861	225	23	role	role	NOUN
ap-6861	225	24	during	during	ADP
ap-6861	225	25	the	the	DET
ap-6861	225	26	design	design	NOUN
ap-6861	225	27	process	process	NOUN
ap-6861	225	28	.	.	PUNCT
ap-6861	226	1	therefore	therefore	ADV
ap-6861	226	2	,	,	PUNCT
ap-6861	226	3	bearing	bear	VERB
ap-6861	226	4	designers	designer	NOUN
ap-6861	226	5	and	and	CCONJ
ap-6861	226	6	manufacturers	manufacturer	NOUN
ap-6861	226	7	should	should	AUX
ap-6861	226	8	make	make	VERB
ap-6861	226	9	the	the	DET
ap-6861	226	10	bearing	bear	VERB
ap-6861	226	11	geometrical	geometrical	ADJ
ap-6861	226	12	dimensions	dimension	NOUN
ap-6861	226	13	as	as	ADV
ap-6861	226	14	large	large	ADJ
ap-6861	226	15	as	as	ADP
ap-6861	226	16	possible	possible	ADJ
ap-6861	226	17	and	and	CCONJ
ap-6861	226	18	the	the	DET
ap-6861	226	19	bearing	bearing	NOUN
ap-6861	226	20	material	material	NOUN
ap-6861	226	21	as	as	ADV
ap-6861	226	22	elastic	elastic	ADJ
ap-6861	226	23	as	as	ADP
ap-6861	226	24	possible	possible	ADJ
ap-6861	226	25	.	.	PUNCT
ap-6861	227	1	furthermore	furthermore	ADV
ap-6861	227	2	,	,	PUNCT
ap-6861	227	3	the	the	DET
ap-6861	227	4	stress	stress	NOUN
ap-6861	227	5	-	-	PUNCT
ap-6861	227	6	based	base	VERB
ap-6861	227	7	static	static	ADJ
ap-6861	227	8	failure	failure	NOUN
ap-6861	227	9	theory	theory	NOUN
ap-6861	227	10	can	can	AUX
ap-6861	227	11	also	also	ADV
ap-6861	227	12	be	be	AUX
ap-6861	227	13	used	use	VERB
ap-6861	227	14	instead	instead	ADV
ap-6861	227	15	of	of	ADP
ap-6861	227	16	the	the	DET
ap-6861	227	17	standard	standard	ADJ
ap-6861	227	18	static	static	ADJ
ap-6861	227	19	load	load	NOUN
ap-6861	227	20	carrying	carry	VERB
ap-6861	227	21	capacity	capacity	NOUN
ap-6861	227	22	calculation	calculation	NOUN
ap-6861	227	23	.	.	PUNCT
ap-6861	228	1	moreover	moreover	ADV
ap-6861	228	2	,	,	PUNCT
ap-6861	228	3	von	von	PROPN
ap-6861	228	4	mises	mises	PROPN
ap-6861	228	5	stress	stress	PROPN
ap-6861	228	6	theory	theory	NOUN
ap-6861	228	7	is	be	AUX
ap-6861	228	8	also	also	ADV
ap-6861	228	9	compatible	compatible	ADJ
ap-6861	228	10	with	with	ADP
ap-6861	228	11	the	the	DET
ap-6861	228	12	finite	finite	ADJ
ap-6861	228	13	element	element	NOUN
ap-6861	228	14	method	method	NOUN
ap-6861	228	15	.	.	PUNCT
ap-6861	229	1	172	172	NUM
ap-6861	229	2	vol	vol	NOUN
ap-6861	229	3	.	.	PROPN
ap-6861	230	1	61	61	NUM
ap-6861	230	2	no	no	NOUN
ap-6861	230	3	.	.	PUNCT
ap-6861	231	1	1/2021	1/2021	NUM
ap-6861	231	2	effects	effect	NOUN
ap-6861	231	3	of	of	ADP
ap-6861	231	4	design	design	NOUN
ap-6861	231	5	parameters	parameter	NOUN
ap-6861	231	6	on	on	ADP
ap-6861	231	7	static	static	ADJ
ap-6861	231	8	equivalent	equivalent	ADJ
ap-6861	231	9	stress	stress	NOUN
ap-6861	231	10	.	.	PUNCT
ap-6861	231	11	.	.	PUNCT
ap-6861	231	12	.	.	PUNCT
ap-6861	232	1	the	the	DET
ap-6861	232	2	bearing	bear	VERB
ap-6861	232	3	static	static	ADJ
ap-6861	232	4	and	and	CCONJ
ap-6861	232	5	dynamic	dynamic	ADJ
ap-6861	232	6	load	load	NOUN
ap-6861	232	7	carrying	carry	VERB
ap-6861	232	8	capacity	capacity	NOUN
ap-6861	232	9	and	and	CCONJ
ap-6861	232	10	bearing	bear	VERB
ap-6861	232	11	service	service	NOUN
ap-6861	232	12	life	life	NOUN
ap-6861	232	13	will	will	AUX
ap-6861	232	14	be	be	AUX
ap-6861	232	15	investigated	investigate	VERB
ap-6861	232	16	by	by	ADP
ap-6861	232	17	the	the	DET
ap-6861	232	18	author	author	NOUN
ap-6861	232	19	in	in	ADP
ap-6861	232	20	a	a	DET
ap-6861	232	21	future	future	ADJ
ap-6861	232	22	study	study	NOUN
ap-6861	232	23	.	.	PUNCT
ap-6861	233	1	references	reference	NOUN
ap-6861	233	2	[	[	X
ap-6861	233	3	1	1	NUM
ap-6861	233	4	]	]	PUNCT
ap-6861	233	5	f.	f.	PROPN
ap-6861	233	6	sadeghi	sadeghi	PROPN
ap-6861	233	7	,	,	PUNCT
ap-6861	233	8	b.	b.	PROPN
ap-6861	233	9	jalalahmadi	jalalahmadi	PROPN
ap-6861	233	10	,	,	PUNCT
ap-6861	233	11	t.	t.	PROPN
ap-6861	233	12	s.	s.	PROPN
ap-6861	233	13	slack	slack	PROPN
ap-6861	233	14	,	,	PUNCT
ap-6861	233	15	et	et	PROPN
ap-6861	233	16	al	al	PROPN
ap-6861	233	17	.	.	PUNCT
ap-6861	234	1	a	a	DET
ap-6861	234	2	review	review	NOUN
ap-6861	234	3	of	of	ADP
ap-6861	234	4	rolling	rolling	ADJ
ap-6861	234	5	contact	contact	NOUN
ap-6861	234	6	fatigue	fatigue	NOUN
ap-6861	234	7	.	.	PUNCT
ap-6861	235	1	journal	journal	NOUN
ap-6861	235	2	of	of	ADP
ap-6861	235	3	tribology	tribology	PROPN
ap-6861	235	4	131(4):041403	131(4):041403	PROPN
ap-6861	235	5	,	,	PUNCT
ap-6861	235	6	2009	2009	NUM
ap-6861	235	7	.	.	PUNCT
ap-6861	236	1	doi:10.1115/1.3209132	doi:10.1115/1.3209132	NOUN
ap-6861	236	2	.	.	PUNCT
ap-6861	237	1	[	[	X
ap-6861	237	2	2	2	NUM
ap-6861	237	3	]	]	PUNCT
ap-6861	237	4	r.	r.	PROPN
ap-6861	237	5	potočnik	potočnik	PROPN
ap-6861	237	6	,	,	PUNCT
ap-6861	237	7	p.	p.	NOUN
ap-6861	237	8	göncz	göncz	NOUN
ap-6861	237	9	,	,	PUNCT
ap-6861	237	10	j.	j.	PROPN
ap-6861	237	11	flašker	flašker	PROPN
ap-6861	237	12	,	,	PUNCT
ap-6861	237	13	s.	s.	PROPN
ap-6861	237	14	glodež	glodež	PROPN
ap-6861	237	15	.	.	PUNCT
ap-6861	238	1	fatigue	fatigue	NOUN
ap-6861	238	2	life	life	NOUN
ap-6861	238	3	of	of	ADP
ap-6861	238	4	double	double	ADJ
ap-6861	238	5	row	row	NOUN
ap-6861	238	6	slewing	slewing	NOUN
ap-6861	238	7	ball	ball	NOUN
ap-6861	238	8	bearing	bear	VERB
ap-6861	238	9	with	with	ADP
ap-6861	238	10	irregular	irregular	ADJ
ap-6861	238	11	geometry	geometry	NOUN
ap-6861	238	12	.	.	PUNCT
ap-6861	239	1	procedia	procedia	PROPN
ap-6861	239	2	engineering	engineering	PROPN
ap-6861	239	3	2(1):1877	2(1):1877	PROPN
ap-6861	239	4	–	–	PUNCT
ap-6861	239	5	1886	1886	NUM
ap-6861	239	6	,	,	PUNCT
ap-6861	239	7	2010	2010	NUM
ap-6861	239	8	.	.	PUNCT
ap-6861	240	1	doi:10.1016	doi:10.1016	PROPN
ap-6861	240	2	/	/	SYM
ap-6861	240	3	j.proeng.2010.03.202	j.proeng.2010.03.202	PROPN
ap-6861	240	4	.	.	PUNCT
ap-6861	241	1	[	[	X
ap-6861	241	2	3	3	X
ap-6861	241	3	]	]	X
ap-6861	241	4	g.	g.	PROPN
ap-6861	241	5	e.	e.	PROPN
ap-6861	241	6	morales	morales	PROPN
ap-6861	241	7	-	-	PUNCT
ap-6861	241	8	espejel	espejel	PROPN
ap-6861	241	9	,	,	PUNCT
ap-6861	241	10	a.	a.	NOUN
ap-6861	241	11	gabelli	gabelli	PROPN
ap-6861	241	12	,	,	PUNCT
ap-6861	241	13	a.	a.	PROPN
ap-6861	241	14	j.	j.	PROPN
ap-6861	241	15	c.	c.	PROPN
ap-6861	241	16	de	de	PROPN
ap-6861	241	17	vries	vries	PROPN
ap-6861	241	18	.	.	PUNCT
ap-6861	242	1	a	a	DET
ap-6861	242	2	model	model	NOUN
ap-6861	242	3	for	for	ADP
ap-6861	242	4	rolling	roll	VERB
ap-6861	242	5	bearing	bear	VERB
ap-6861	242	6	life	life	NOUN
ap-6861	242	7	with	with	ADP
ap-6861	242	8	surface	surface	NOUN
ap-6861	242	9	and	and	CCONJ
ap-6861	242	10	subsurface	subsurface	NOUN
ap-6861	242	11	survival	survival	NOUN
ap-6861	242	12	tribological	tribological	ADJ
ap-6861	242	13	effects	effect	NOUN
ap-6861	242	14	.	.	PUNCT
ap-6861	243	1	tribology	tribology	NOUN
ap-6861	243	2	transactions	transaction	VERB
ap-6861	243	3	58(5):894	58(5):894	NUM
ap-6861	243	4	–	–	PUNCT
ap-6861	243	5	906	906	NUM
ap-6861	243	6	,	,	PUNCT
ap-6861	243	7	2015	2015	NUM
ap-6861	243	8	.	.	PUNCT
ap-6861	244	1	doi:10.1080/10402004.2015.1025932	doi:10.1080/10402004.2015.1025932	VERB
ap-6861	244	2	.	.	PUNCT
ap-6861	245	1	[	[	X
ap-6861	245	2	4	4	NUM
ap-6861	245	3	]	]	PUNCT
ap-6861	245	4	f.	f.	PROPN
ap-6861	245	5	kosugi	kosugi	PROPN
ap-6861	245	6	.	.	PUNCT
ap-6861	246	1	high	high	ADJ
ap-6861	246	2	-	-	PUNCT
ap-6861	246	3	speed	speed	NOUN
ap-6861	246	4	angular	angular	ADJ
ap-6861	246	5	contact	contact	NOUN
ap-6861	246	6	ball	ball	NOUN
ap-6861	246	7	bearings	bearing	NOUN
ap-6861	246	8	new	new	ADJ
ap-6861	246	9	9	9	NUM
ap-6861	246	10	series	series	NOUN
ap-6861	246	11	for	for	ADP
ap-6861	246	12	machine	machine	NOUN
ap-6861	246	13	tool	tool	NOUN
ap-6861	246	14	.	.	PUNCT
ap-6861	247	1	ntn	ntn	PROPN
ap-6861	247	2	technical	technical	PROPN
ap-6861	247	3	review	review	PROPN
ap-6861	247	4	78	78	NUM
ap-6861	247	5	,	,	PUNCT
ap-6861	247	6	2010	2010	NUM
ap-6861	247	7	.	.	PUNCT
ap-6861	248	1	[	[	X
ap-6861	248	2	5	5	X
ap-6861	248	3	]	]	PUNCT
ap-6861	248	4	j.	j.	PROPN
ap-6861	248	5	brändlein	brändlein	PROPN
ap-6861	248	6	,	,	PUNCT
ap-6861	248	7	p.	p.	PROPN
ap-6861	248	8	eschmann	eschmann	PROPN
ap-6861	248	9	,	,	PUNCT
ap-6861	248	10	l.	l.	PROPN
ap-6861	248	11	hasbargena	hasbargena	PROPN
ap-6861	248	12	,	,	PUNCT
ap-6861	248	13	k.	k.	PROPN
ap-6861	248	14	weigand	weigand	PROPN
ap-6861	248	15	.	.	PUNCT
ap-6861	249	1	ball	ball	NOUN
ap-6861	249	2	and	and	CCONJ
ap-6861	249	3	roller	roller	NOUN
ap-6861	249	4	bearings	bearing	NOUN
ap-6861	249	5	:	:	PUNCT
ap-6861	249	6	theory	theory	NOUN
ap-6861	249	7	,	,	PUNCT
ap-6861	249	8	design	design	NOUN
ap-6861	249	9	and	and	CCONJ
ap-6861	249	10	application	application	NOUN
ap-6861	249	11	.	.	PUNCT
ap-6861	250	1	john	john	PROPN
ap-6861	250	2	wiley	wiley	PROPN
ap-6861	250	3	&	&	CCONJ
ap-6861	250	4	sons	sons	PROPN
ap-6861	250	5	,	,	PUNCT
ap-6861	250	6	usa	usa	PROPN
ap-6861	250	7	,	,	PUNCT
ap-6861	250	8	2000	2000	NUM
ap-6861	250	9	.	.	PUNCT
ap-6861	251	1	[	[	X
ap-6861	251	2	6	6	NUM
ap-6861	251	3	]	]	PUNCT
ap-6861	251	4	m.	m.	NOUN
ap-6861	251	5	bozca	bozca	PROPN
ap-6861	251	6	.	.	PUNCT
ap-6861	252	1	theoretical	theoretical	ADJ
ap-6861	252	2	investigation	investigation	NOUN
ap-6861	252	3	of	of	ADP
ap-6861	252	4	point	point	NOUN
ap-6861	252	5	contact	contact	NOUN
ap-6861	252	6	for	for	ADP
ap-6861	252	7	ball	ball	NOUN
ap-6861	252	8	bearings	bearing	NOUN
ap-6861	252	9	application	application	NOUN
ap-6861	252	10	.	.	PUNCT
ap-6861	253	1	in	in	ADP
ap-6861	253	2	icmd	icmd	ADJ
ap-6861	253	3	2016	2016	NUM
ap-6861	253	4	,	,	PUNCT
ap-6861	253	5	57th	57th	ADJ
ap-6861	253	6	international	international	ADJ
ap-6861	253	7	conference	conference	NOUN
ap-6861	253	8	of	of	ADP
ap-6861	253	9	machine	machine	NOUN
ap-6861	253	10	design	design	NOUN
ap-6861	253	11	departments	department	NOUN
ap-6861	253	12	,	,	PUNCT
ap-6861	253	13	pp	pp	ADP
ap-6861	253	14	.	.	PUNCT
ap-6861	253	15	195	195	NUM
ap-6861	253	16	–	–	SYM
ap-6861	253	17	200	200	NUM
ap-6861	253	18	.	.	PUNCT
ap-6861	254	1	železná	železná	PROPN
ap-6861	254	2	ruda	ruda	PROPN
ap-6861	254	3	,	,	PUNCT
ap-6861	254	4	czech	czech	PROPN
ap-6861	254	5	republic	republic	NOUN
ap-6861	254	6	,	,	PUNCT
ap-6861	254	7	2016	2016	NUM
ap-6861	254	8	.	.	PUNCT
ap-6861	255	1	[	[	X
ap-6861	255	2	7	7	X
ap-6861	255	3	]	]	PUNCT
ap-6861	255	4	m.	m.	NOUN
ap-6861	255	5	bozca	bozca	PROPN
ap-6861	255	6	.	.	PUNCT
ap-6861	256	1	theoretical	theoretical	ADJ
ap-6861	256	2	investigation	investigation	NOUN
ap-6861	256	3	of	of	ADP
ap-6861	256	4	line	line	NOUN
ap-6861	256	5	contact	contact	NOUN
ap-6861	256	6	for	for	ADP
ap-6861	256	7	roller	roller	NOUN
ap-6861	256	8	bearings	bearing	NOUN
ap-6861	256	9	application	application	NOUN
ap-6861	256	10	.	.	PUNCT
ap-6861	257	1	in	in	ADP
ap-6861	257	2	icmd	icmd	ADJ
ap-6861	257	3	2016	2016	NUM
ap-6861	257	4	,	,	PUNCT
ap-6861	257	5	57th	57th	ADJ
ap-6861	257	6	international	international	ADJ
ap-6861	257	7	conference	conference	NOUN
ap-6861	257	8	of	of	ADP
ap-6861	257	9	machine	machine	NOUN
ap-6861	257	10	design	design	NOUN
ap-6861	257	11	departments	department	NOUN
ap-6861	257	12	,	,	PUNCT
ap-6861	257	13	pp	pp	ADV
ap-6861	257	14	.	.	PUNCT
ap-6861	257	15	201	201	NUM
ap-6861	257	16	–	–	PUNCT
ap-6861	257	17	206	206	NUM
ap-6861	257	18	.	.	PUNCT
ap-6861	257	19	železná	železná	PROPN
ap-6861	257	20	ruda	ruda	PROPN
ap-6861	257	21	,	,	PUNCT
ap-6861	257	22	czech	czech	PROPN
ap-6861	257	23	republic	republic	NOUN
ap-6861	257	24	,	,	PUNCT
ap-6861	257	25	2016	2016	NUM
ap-6861	257	26	.	.	PUNCT
ap-6861	258	1	[	[	X
ap-6861	258	2	8	8	NUM
ap-6861	258	3	]	]	PUNCT
ap-6861	258	4	m.	m.	NOUN
ap-6861	258	5	koç	koç	PROPN
ap-6861	258	6	,	,	PUNCT
ap-6861	258	7	m.	m.	NOUN
ap-6861	258	8	bozca	bozca	PROPN
ap-6861	258	9	.	.	PUNCT
ap-6861	259	1	finite	finite	PROPN
ap-6861	259	2	elements	element	NOUN
ap-6861	259	3	method	method	VERB
ap-6861	259	4	modelling	modelling	NOUN
ap-6861	259	5	of	of	ADP
ap-6861	259	6	rolling	rolling	ADJ
ap-6861	259	7	bearings	bearing	NOUN
ap-6861	259	8	.	.	PUNCT
ap-6861	260	1	machines	machine	NOUN
ap-6861	260	2	technologies	technologie	VERB
ap-6861	260	3	materials	material	NOUN
ap-6861	260	4	13(2):62	13(2):62	NUM
ap-6861	260	5	–	–	PUNCT
ap-6861	260	6	65	65	NUM
ap-6861	260	7	,	,	PUNCT
ap-6861	260	8	2019	2019	NUM
ap-6861	260	9	.	.	PUNCT
ap-6861	261	1	[	[	X
ap-6861	261	2	9	9	NUM
ap-6861	261	3	]	]	PUNCT
ap-6861	261	4	m.	m.	NOUN
ap-6861	261	5	yakout	yakout	NOUN
ap-6861	261	6	,	,	PUNCT
ap-6861	261	7	m.	m.	NOUN
ap-6861	261	8	g.	g.	PROPN
ap-6861	261	9	a.	a.	PROPN
ap-6861	261	10	nassef	nassef	PROPN
ap-6861	261	11	,	,	PUNCT
ap-6861	261	12	s.	s.	PROPN
ap-6861	261	13	backar	backar	PROPN
ap-6861	261	14	.	.	PUNCT
ap-6861	262	1	effect	effect	NOUN
ap-6861	262	2	of	of	ADP
ap-6861	262	3	clearances	clearance	NOUN
ap-6861	262	4	in	in	ADP
ap-6861	262	5	rolling	rolling	ADJ
ap-6861	262	6	element	element	ADJ
ap-6861	262	7	bearings	bearing	NOUN
ap-6861	262	8	on	on	ADP
ap-6861	262	9	their	their	PRON
ap-6861	262	10	dynamic	dynamic	ADJ
ap-6861	262	11	performance	performance	NOUN
ap-6861	262	12	,	,	PUNCT
ap-6861	262	13	quality	quality	NOUN
ap-6861	262	14	and	and	CCONJ
ap-6861	262	15	operating	operate	VERB
ap-6861	262	16	life	life	NOUN
ap-6861	262	17	.	.	PUNCT
ap-6861	263	1	journal	journal	NOUN
ap-6861	263	2	of	of	ADP
ap-6861	263	3	mechanical	mechanical	ADJ
ap-6861	263	4	science	science	NOUN
ap-6861	263	5	and	and	CCONJ
ap-6861	263	6	technology	technology	NOUN
ap-6861	263	7	33(5):2037	33(5):2037	NUM
ap-6861	263	8	–	–	PUNCT
ap-6861	263	9	2042	2042	NUM
ap-6861	263	10	,	,	PUNCT
ap-6861	263	11	2019	2019	NUM
ap-6861	263	12	.	.	PUNCT
ap-6861	264	1	doi:10.1007	doi:10.1007	VERB
ap-6861	264	2	/	/	SYM
ap-6861	264	3	s12206	s12206	NOUN
ap-6861	264	4	-	-	PUNCT
ap-6861	264	5	019	019	NUM
ap-6861	264	6	-	-	PUNCT
ap-6861	264	7	0406	0406	NUM
ap-6861	264	8	-	-	PUNCT
ap-6861	264	9	y.	y.	NOUN
ap-6861	265	1	[	[	X
ap-6861	265	2	10	10	NUM
ap-6861	265	3	]	]	X
ap-6861	265	4	f.	f.	PROPN
ap-6861	265	5	b.	b.	PROPN
ap-6861	265	6	oswald	oswald	PROPN
ap-6861	265	7	,	,	PUNCT
ap-6861	265	8	e.	e.	PROPN
ap-6861	265	9	v.	v.	PROPN
ap-6861	265	10	zaretsky	zaretsky	PROPN
ap-6861	265	11	,	,	PUNCT
ap-6861	265	12	j.	j.	PROPN
ap-6861	265	13	v.	v.	PROPN
ap-6861	265	14	poplawski	poplawski	PROPN
ap-6861	265	15	.	.	PUNCT
ap-6861	266	1	effect	effect	NOUN
ap-6861	266	2	of	of	ADP
ap-6861	266	3	internal	internal	ADJ
ap-6861	266	4	clearance	clearance	NOUN
ap-6861	266	5	on	on	ADP
ap-6861	266	6	load	load	NOUN
ap-6861	266	7	distribution	distribution	NOUN
ap-6861	266	8	and	and	CCONJ
ap-6861	266	9	life	life	NOUN
ap-6861	266	10	of	of	ADP
ap-6861	266	11	radially	radially	ADV
ap-6861	266	12	loaded	load	VERB
ap-6861	266	13	ball	ball	NOUN
ap-6861	266	14	and	and	CCONJ
ap-6861	266	15	roller	roller	NOUN
ap-6861	266	16	bearings	bearing	NOUN
ap-6861	266	17	.	.	PUNCT
ap-6861	267	1	tribology	tribology	NOUN
ap-6861	267	2	transactions	transaction	NOUN
ap-6861	267	3	55(2):245	55(2):245	NUM
ap-6861	267	4	–	–	PUNCT
ap-6861	267	5	265	265	NUM
ap-6861	267	6	,	,	PUNCT
ap-6861	267	7	2012	2012	NUM
ap-6861	267	8	.	.	PUNCT
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ap-6861	268	2	.	.	PUNCT
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ap-6861	269	2	11	11	NUM
ap-6861	269	3	]	]	PUNCT
ap-6861	269	4	m.	m.	NOUN
ap-6861	269	5	yakout	yakout	NOUN
ap-6861	269	6	,	,	PUNCT
ap-6861	269	7	a.	a.	NOUN
ap-6861	269	8	elkhatib	elkhatib	PROPN
ap-6861	269	9	,	,	PUNCT
ap-6861	269	10	m.	m.	NOUN
ap-6861	269	11	g.	g.	PROPN
ap-6861	269	12	a.	a.	PROPN
ap-6861	269	13	nassef	nassef	PROPN
ap-6861	269	14	.	.	PUNCT
ap-6861	270	1	rolling	roll	VERB
ap-6861	270	2	element	element	NOUN
ap-6861	270	3	bearings	bearing	NOUN
ap-6861	270	4	absolute	absolute	ADJ
ap-6861	270	5	life	life	NOUN
ap-6861	270	6	prediction	prediction	NOUN
ap-6861	270	7	using	use	VERB
ap-6861	270	8	modal	modal	ADJ
ap-6861	270	9	analysis	analysis	NOUN
ap-6861	270	10	.	.	PUNCT
ap-6861	271	1	journal	journal	NOUN
ap-6861	271	2	of	of	ADP
ap-6861	271	3	mechanical	mechanical	ADJ
ap-6861	271	4	science	science	NOUN
ap-6861	271	5	and	and	CCONJ
ap-6861	271	6	technology	technology	NOUN
ap-6861	271	7	32(1):91	32(1):91	NUM
ap-6861	271	8	–	–	PUNCT
ap-6861	271	9	99	99	NUM
ap-6861	271	10	,	,	PUNCT
ap-6861	271	11	2018	2018	NUM
ap-6861	271	12	.	.	PUNCT
ap-6861	272	1	doi:10.1007	doi:10.1007	VERB
ap-6861	272	2	/	/	SYM
ap-6861	272	3	s12206	s12206	NOUN
ap-6861	272	4	-	-	PUNCT
ap-6861	272	5	017	017	NUM
ap-6861	272	6	-	-	PUNCT
ap-6861	272	7	1210	1210	NUM
ap-6861	272	8	-	-	SYM
ap-6861	272	9	1	1	NUM
ap-6861	272	10	.	.	PUNCT
ap-6861	273	1	[	[	X
ap-6861	273	2	12	12	NUM
ap-6861	273	3	]	]	PUNCT
ap-6861	273	4	m.	m.	NOUN
ap-6861	273	5	belorit	belorit	PROPN
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ap-6861	273	7	s.	s.	PROPN
ap-6861	273	8	hrcek	hrcek	PROPN
ap-6861	273	9	,	,	PUNCT
ap-6861	273	10	l.	l.	PROPN
ap-6861	273	11	smetanka	smetanka	PROPN
ap-6861	273	12	.	.	PUNCT
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ap-6861	274	2	algorithm	algorithm	NOUN
ap-6861	274	3	for	for	ADP
ap-6861	274	4	calculating	calculate	VERB
ap-6861	274	5	an	an	DET
ap-6861	274	6	optimal	optimal	ADJ
ap-6861	274	7	axial	axial	ADJ
ap-6861	274	8	preload	preload	NOUN
ap-6861	274	9	of	of	ADP
ap-6861	274	10	rolling	rolling	ADJ
ap-6861	274	11	bearings	bearing	NOUN
ap-6861	274	12	with	with	ADP
ap-6861	274	13	the	the	DET
ap-6861	274	14	respect	respect	NOUN
ap-6861	274	15	to	to	ADP
ap-6861	274	16	their	their	PRON
ap-6861	274	17	life	life	NOUN
ap-6861	274	18	.	.	PUNCT
ap-6861	275	1	in	in	ADP
ap-6861	275	2	iop	iop	PROPN
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ap-6861	275	4	series	series	NOUN
ap-6861	275	5	:	:	PUNCT
ap-6861	275	6	materials	material	NOUN
ap-6861	275	7	science	science	NOUN
ap-6861	275	8	and	and	CCONJ
ap-6861	275	9	engineering	engineering	NOUN
ap-6861	275	10	,	,	PUNCT
ap-6861	275	11	vol	vol	NOUN
ap-6861	275	12	.	.	PROPN
ap-6861	275	13	393	393	NUM
ap-6861	275	14	,	,	PUNCT
ap-6861	275	15	p.	p.	NOUN
ap-6861	275	16	012055	012055	NUM
ap-6861	275	17	.	.	PUNCT
ap-6861	276	1	2018	2018	NUM
ap-6861	276	2	.	.	PUNCT
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ap-6861	277	4	.	.	PUNCT
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ap-6861	278	2	13	13	NUM
ap-6861	278	3	]	]	PUNCT
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ap-6861	278	5	l.	l.	PROPN
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ap-6861	278	7	.	.	PUNCT
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ap-6861	279	2	design	design	PROPN
ap-6861	279	3	:	:	PUNCT
ap-6861	279	4	an	an	DET
ap-6861	279	5	integrated	integrated	ADJ
ap-6861	279	6	approach	approach	NOUN
ap-6861	279	7	.	.	PUNCT
ap-6861	280	1	pearson	pearson	PROPN
ap-6861	280	2	,	,	PUNCT
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ap-6861	280	5	,	,	PUNCT
ap-6861	280	6	usa	usa	PROPN
ap-6861	280	7	,	,	PUNCT
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ap-6861	280	9	edn	edn	NOUN
ap-6861	280	10	.	.	PUNCT
ap-6861	280	11	,	,	PUNCT
ap-6861	280	12	2010	2010	NUM
ap-6861	280	13	.	.	PUNCT
ap-6861	281	1	[	[	X
ap-6861	281	2	14	14	NUM
ap-6861	281	3	]	]	X
ap-6861	281	4	r.	r.	PROPN
ap-6861	281	5	c.	c.	PROPN
ap-6861	281	6	juvinall	juvinall	PROPN
ap-6861	281	7	,	,	PUNCT
ap-6861	281	8	k.	k.	PROPN
ap-6861	281	9	m.	m.	PROPN
ap-6861	281	10	marshek	marshek	PROPN
ap-6861	281	11	.	.	PUNCT
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ap-6861	282	2	of	of	ADP
ap-6861	282	3	machine	machine	NOUN
ap-6861	282	4	component	component	NOUN
ap-6861	282	5	design	design	NOUN
ap-6861	282	6	.	.	PUNCT
ap-6861	283	1	john	john	PROPN
ap-6861	283	2	wiley	wiley	PROPN
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ap-6861	283	5	,	,	PUNCT
ap-6861	283	6	2006	2006	NUM
ap-6861	283	7	.	.	PUNCT
ap-6861	284	1	[	[	X
ap-6861	284	2	15	15	NUM
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ap-6861	284	5	g.	g.	PROPN
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ap-6861	284	9	j.	j.	PROPN
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ap-6861	284	11	.	.	PUNCT
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ap-6861	285	6	.	.	PUNCT
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ap-6861	286	2	-	-	PUNCT
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ap-6861	286	4	,	,	PUNCT
ap-6861	286	5	new	new	PROPN
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ap-6861	286	7	,	,	PUNCT
ap-6861	286	8	usa	usa	PROPN
ap-6861	286	9	,	,	PUNCT
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ap-6861	286	13	,	,	PUNCT
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ap-6861	287	5	a.	a.	PROPN
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ap-6861	287	8	m.	m.	PROPN
ap-6861	287	9	n.	n.	PROPN
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ap-6861	287	11	.	.	PUNCT
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ap-6861	288	2	concepts	concept	NOUN
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ap-6861	288	4	bearing	bear	VERB
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ap-6861	288	6	.	.	PUNCT
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ap-6861	289	2	press	press	PROPN
ap-6861	289	3	,	,	PUNCT
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ap-6861	289	7	usa	usa	PROPN
ap-6861	289	8	,	,	PUNCT
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ap-6861	289	10	edn	edn	NOUN
ap-6861	289	11	.	.	PUNCT
ap-6861	289	12	,	,	PUNCT
ap-6861	289	13	2007	2007	NUM
ap-6861	289	14	.	.	PUNCT
ap-6861	290	1	[	[	X
ap-6861	290	2	17	17	NUM
ap-6861	290	3	]	]	X
ap-6861	290	4	h.	h.	PROPN
ap-6861	290	5	nguyen	nguyen	PROPN
ap-6861	290	6	-	-	PUNCT
ap-6861	290	7	schäfer	schäfer	NOUN
ap-6861	290	8	.	.	PUNCT
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ap-6861	291	2	design	design	NOUN
ap-6861	291	3	of	of	ADP
ap-6861	291	4	rolling	rolling	ADJ
ap-6861	291	5	bearings	bearing	NOUN
ap-6861	291	6	.	.	PUNCT
ap-6861	292	1	springer	springer	NOUN
ap-6861	292	2	international	international	ADJ
ap-6861	292	3	publishing	publishing	NOUN
ap-6861	292	4	,	,	PUNCT
ap-6861	292	5	ludwigsburg	ludwigsburg	PROPN
ap-6861	292	6	,	,	PUNCT
ap-6861	292	7	germany	germany	PROPN
ap-6861	292	8	,	,	PUNCT
ap-6861	292	9	2016	2016	NUM
ap-6861	292	10	.	.	PUNCT
ap-6861	293	1	173	173	NUM
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ap-6861	293	5	http://dx.doi.org/10.1007/s12206-019-0406-y	http://dx.doi.org/10.1007/s12206-019-0406-y	PROPN
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ap-6861	293	7	http://dx.doi.org/10.1007/s12206-017-1210-1	http://dx.doi.org/10.1007/s12206-017-1210-1	PROPN
ap-6861	293	8	http://dx.doi.org/10.1088/1757-899x/393/1/012055	http://dx.doi.org/10.1088/1757-899x/393/1/012055	PROPN
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ap-6861	293	10	polytechnica	polytechnica	PROPN
ap-6861	293	11	61(1):163–173	61(1):163–173	PROPN
ap-6861	293	12	,	,	PUNCT
ap-6861	293	13	2021	2021	NUM
ap-6861	293	14	1	1	NUM
ap-6861	293	15	introduction	introduction	NOUN
ap-6861	293	16	2	2	NUM
ap-6861	293	17	contact	contact	NOUN
ap-6861	293	18	pressure	pressure	NOUN
ap-6861	293	19	and	and	CCONJ
ap-6861	293	20	stress	stress	VERB
ap-6861	293	21	2.1	2.1	NUM
ap-6861	293	22	ball	ball	NOUN
ap-6861	293	23	bearing	bear	VERB
ap-6861	293	24	application	application	NOUN
ap-6861	293	25	2.1.1	2.1.1	NUM
ap-6861	293	26	point	point	NOUN
ap-6861	293	27	contact	contact	NOUN
ap-6861	293	28	pressure	pressure	NOUN
ap-6861	293	29	2.1.2	2.1.2	NUM
ap-6861	293	30	point	point	NOUN
ap-6861	293	31	contact	contact	NOUN
ap-6861	293	32	stress	stress	VERB
ap-6861	293	33	2.1.3	2.1.3	PROPN
ap-6861	293	34	von	von	PROPN
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ap-6861	293	37	stress	stress	NOUN
ap-6861	293	38	2.2	2.2	NUM
ap-6861	293	39	roller	roller	NOUN
ap-6861	293	40	bearing	bear	VERB
ap-6861	293	41	application	application	NOUN
ap-6861	293	42	2.2.1	2.2.1	NUM
ap-6861	293	43	line	line	NOUN
ap-6861	293	44	contact	contact	NOUN
ap-6861	293	45	pressure	pressure	NOUN
ap-6861	293	46	2.2.2	2.2.2	NUM
ap-6861	293	47	line	line	NOUN
ap-6861	293	48	contact	contact	NOUN
ap-6861	293	49	stress	stress	NOUN
ap-6861	293	50	2.2.3	2.2.3	NUM
ap-6861	293	51	von	von	PROPN
ap-6861	293	52	mises	mises	PROPN
ap-6861	293	53	effective	effective	ADJ
ap-6861	293	54	stress	stress	NOUN
ap-6861	293	55	3	3	NUM
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ap-6861	293	57	results	result	NOUN
ap-6861	293	58	3.1	3.1	NUM
ap-6861	293	59	example	example	NOUN
ap-6861	293	60	of	of	ADP
ap-6861	293	61	ball	ball	NOUN
ap-6861	293	62	bearing	bear	VERB
ap-6861	293	63	application	application	NOUN
ap-6861	293	64	3.1.1	3.1.1	NUM
ap-6861	293	65	example	example	NOUN
ap-6861	293	66	of	of	ADP
ap-6861	293	67	a	a	DET
ap-6861	293	68	standard	standard	ADJ
ap-6861	293	69	ball	ball	NOUN
ap-6861	293	70	bearing	bear	VERB
ap-6861	293	71	3.2	3.2	NUM
ap-6861	293	72	example	example	NOUN
ap-6861	293	73	of	of	ADP
ap-6861	293	74	roller	roller	NOUN
ap-6861	293	75	bearing	bearing	NOUN
ap-6861	293	76	application	application	NOUN
ap-6861	293	77	3.2.1	3.2.1	NUM
ap-6861	293	78	example	example	NOUN
ap-6861	293	79	of	of	ADP
ap-6861	293	80	a	a	DET
ap-6861	293	81	standard	standard	ADJ
ap-6861	293	82	roller	roller	NOUN
ap-6861	293	83	bearing	bear	VERB
ap-6861	293	84	4	4	NUM
ap-6861	293	85	discussion	discussion	NOUN
ap-6861	293	86	5	5	NUM
ap-6861	293	87	conclusion	conclusion	NOUN
ap-6861	293	88	references	reference	NOUN