id	sid	tid	token	lemma	pos
alkej-778	1	1	4d6963726f736f667420576f7264202d20dfd1c7d120c8c7e5d120e6dec7d3e320e6dae3c7cf32392d203432	4d6963726f736f667420576f7264202d20dfd1c7d120c8c7e5d120e6dec7d3e320e6dae3c7cf32392d203432	INTJ
alkej-778	1	2	>	>	X
alkej-778	1	3	this	this	PRON
alkej-778	1	4	is	be	AUX
alkej-778	1	5	an	an	DET
alkej-778	1	6	open	open	ADJ
alkej-778	1	7	access	access	NOUN
alkej-778	1	8	article	article	NOUN
alkej-778	1	9	under	under	ADP
alkej-778	1	10	the	the	DET
alkej-778	1	11	cc	cc	NOUN
alkej-778	1	12	by	by	ADP
alkej-778	1	13	license	license	NOUN
alkej-778	1	14	:	:	PUNCT
alkej-778	1	15	al	al	PROPN
alkej-778	1	16	-	-	PUNCT
alkej-778	1	17	khwarizmi	khwarizmi	PROPN
alkej-778	1	18	engineering	engineering	PROPN
alkej-778	1	19	journal	journal	PROPN
alkej-778	1	20	al	al	PROPN
alkej-778	1	21	-	-	PUNCT
alkej-778	1	22	khwarizmi	khwarizmi	PROPN
alkej-778	1	23	engineering	engineering	NOUN
alkej-778	1	24	journal	journal	PROPN
alkej-778	1	25	,	,	PUNCT
alkej-778	1	26	vol	vol	NOUN
alkej-778	1	27	.	.	PROPN
alkej-778	1	28	18	18	NUM
alkej-778	1	29	,	,	PUNCT
alkej-778	1	30	no	no	INTJ
alkej-778	1	31	.	.	NOUN
alkej-778	1	32	2	2	NUM
alkej-778	1	33	,	,	PUNCT
alkej-778	1	34	june	june	PROPN
alkej-778	1	35	,	,	PUNCT
alkej-778	1	36	(	(	PUNCT
alkej-778	1	37	2022	2022	NUM
alkej-778	1	38	)	)	PUNCT
alkej-778	2	1	p.	p.	NOUN
alkej-778	2	2	p.	p.	NOUN
alkej-778	2	3	2942	2942	NUM
alkej-778	3	1	comparative	comparative	ADJ
alkej-778	3	2	study	study	NOUN
alkej-778	3	3	of	of	ADP
alkej-778	3	4	vibration	vibration	NOUN
alkej-778	3	5	analysis	analysis	NOUN
alkej-778	3	6	in	in	ADP
alkej-778	3	7	rotary	rotary	ADJ
alkej-778	3	8	shafts	shafts	ADJ
alkej-778	3	9	between	between	ADP
alkej-778	3	10	rayleigh	rayleigh	PROPN
alkej-778	3	11	's	's	PART
alkej-778	3	12	and	and	CCONJ
alkej-778	3	13	dunkerley	dunkerley	NOUN
alkej-778	3	14	's	's	PART
alkej-778	3	15	methods	method	NOUN
alkej-778	3	16	karrar	karrar	NOUN
alkej-778	3	17	baher	baher	ADV
alkej-778	3	18	*	*	PUNCT
alkej-778	3	19	qasim	qasim	PROPN
alkej-778	3	20	a.	a.	PROPN
alkej-778	3	21	atiyah	atiyah	PROPN
alkej-778	3	22	*	*	PUNCT
alkej-778	4	1	*	*	PUNCT
alkej-778	4	2	imad	imad	PROPN
alkej-778	4	3	a.	a.	PROPN
alkej-778	4	4	abdulsahib	abdulsahib	VERB
alkej-778	4	5	*	*	PUNCT
alkej-778	4	6	*	*	PUNCT
alkej-778	4	7	*	*	PUNCT
alkej-778	4	8	*	*	PUNCT
alkej-778	4	9	,	,	PUNCT
alkej-778	4	10	*	*	PUNCT
alkej-778	4	11	*	*	PUNCT
alkej-778	4	12	,	,	PUNCT
alkej-778	4	13	*	*	PUNCT
alkej-778	4	14	*	*	PUNCT
alkej-778	4	15	*	*	PUNCT
alkej-778	4	16	mechanical	mechanical	ADJ
alkej-778	4	17	engineering	engineering	NOUN
alkej-778	4	18	department	department	PROPN
alkej-778	4	19	/	/	SYM
alkej-778	4	20	university	university	PROPN
alkej-778	4	21	of	of	ADP
alkej-778	4	22	technology	technology	PROPN
alkej-778	4	23	/	/	SYM
alkej-778	4	24	baghdad	baghdad	PROPN
alkej-778	4	25	/	/	SYM
alkej-778	4	26	iraq	iraq	PROPN
alkej-778	4	27	*	*	PUNCT
alkej-778	4	28	email	email	NOUN
alkej-778	4	29	:	:	PUNCT
alkej-778	4	30	me.19.20@grad.uotechnology.edu.iq	me.19.20@grad.uotechnology.edu.iq	PROPN
alkej-778	4	31	*	*	PUNCT
alkej-778	4	32	*	*	NOUN
alkej-778	4	33	email	email	NOUN
alkej-778	4	34	:	:	PUNCT
alkej-778	4	35	20044@uotechnology.edu.iq	20044@uotechnology.edu.iq	NUM
alkej-778	4	36	*	*	PUNCT
alkej-778	4	37	*	*	PUNCT
alkej-778	4	38	*	*	NOUN
alkej-778	4	39	email	email	NOUN
alkej-778	4	40	:	:	PUNCT
alkej-778	4	41	20018@uotechnology.edu.iq	20018@uotechnology.edu.iq	NUM
alkej-778	4	42	(	(	PUNCT
alkej-778	4	43	receive	receive	VERB
alkej-778	4	44	2	2	NUM
alkej-778	4	45	marh	marh	NOUN
alkej-778	4	46	2022	2022	NUM
alkej-778	4	47	;	;	PUNCT
alkej-778	4	48	accepted	accept	VERB
alkej-778	4	49	18	18	NUM
alkej-778	4	50	may	may	PROPN
alkej-778	4	51	2022	2022	NUM
alkej-778	4	52	)	)	PUNCT
alkej-778	5	1	https://doi.org/10.22153/kej.2022.05.001	https://doi.org/10.22153/kej.2022.05.001	X
alkej-778	5	2	abstract	abstract	ADJ
alkej-778	5	3	the	the	DET
alkej-778	5	4	importance	importance	NOUN
alkej-778	5	5	of	of	ADP
alkej-778	5	6	vibrations	vibration	NOUN
alkej-778	5	7	in	in	ADP
alkej-778	5	8	rotating	rotate	VERB
alkej-778	5	9	rotors	rotor	NOUN
alkej-778	5	10	in	in	ADP
alkej-778	5	11	engineering	engineering	NOUN
alkej-778	5	12	applications	application	NOUN
alkej-778	5	13	has	have	AUX
alkej-778	5	14	been	be	AUX
alkej-778	5	15	examined	examine	VERB
alkej-778	5	16	,	,	PUNCT
alkej-778	5	17	as	as	SCONJ
alkej-778	5	18	has	have	VERB
alkej-778	5	19	the	the	DET
alkej-778	5	20	best	good	ADJ
alkej-778	5	21	approach	approach	NOUN
alkej-778	5	22	to	to	ADP
alkej-778	5	23	interpreting	interpret	VERB
alkej-778	5	24	vibration	vibration	NOUN
alkej-778	5	25	data	datum	NOUN
alkej-778	5	26	.	.	PUNCT
alkej-778	6	1	the	the	DET
alkej-778	6	2	most	most	ADV
alkej-778	6	3	extensively	extensively	ADV
alkej-778	6	4	used	use	VERB
alkej-778	6	5	analytical	analytical	ADJ
alkej-778	6	6	approaches	approach	NOUN
alkej-778	6	7	for	for	ADP
alkej-778	6	8	rotating	rotate	VERB
alkej-778	6	9	shaft	shaft	NOUN
alkej-778	6	10	vibration	vibration	NOUN
alkej-778	6	11	analysis	analysis	NOUN
alkej-778	6	12	have	have	AUX
alkej-778	6	13	been	be	AUX
alkej-778	6	14	investigated	investigate	VERB
alkej-778	6	15	.	.	PUNCT
alkej-778	7	1	in	in	ADP
alkej-778	7	2	this	this	DET
alkej-778	7	3	research	research	NOUN
alkej-778	7	4	,	,	PUNCT
alkej-778	7	5	a	a	DET
alkej-778	7	6	detailed	detailed	ADJ
alkej-778	7	7	study	study	NOUN
alkej-778	7	8	was	be	AUX
alkej-778	7	9	made	make	VERB
alkej-778	7	10	of	of	ADP
alkej-778	7	11	the	the	DET
alkej-778	7	12	rayleigh	rayleigh	PROPN
alkej-778	7	13	and	and	CCONJ
alkej-778	7	14	dunkerley	dunkerley	NOUN
alkej-778	7	15	methods	method	NOUN
alkej-778	7	16	due	due	ADP
alkej-778	7	17	to	to	ADP
alkej-778	7	18	their	their	PRON
alkej-778	7	19	importance	importance	NOUN
alkej-778	7	20	in	in	ADP
alkej-778	7	21	the	the	DET
alkej-778	7	22	special	special	ADJ
alkej-778	7	23	calculations	calculation	NOUN
alkej-778	7	24	to	to	PART
alkej-778	7	25	find	find	VERB
alkej-778	7	26	the	the	DET
alkej-778	7	27	amplitude	amplitude	NOUN
alkej-778	7	28	of	of	ADP
alkej-778	7	29	vibrations	vibration	NOUN
alkej-778	7	30	in	in	ADP
alkej-778	7	31	the	the	DET
alkej-778	7	32	rotation	rotation	NOUN
alkej-778	7	33	system	system	NOUN
alkej-778	7	34	.	.	PUNCT
alkej-778	8	1	the	the	DET
alkej-778	8	2	multi	multi	ADJ
alkej-778	8	3	-	-	ADJ
alkej-778	8	4	node	node	ADJ
alkej-778	8	5	method	method	NOUN
alkej-778	8	6	was	be	AUX
alkej-778	8	7	used	use	VERB
alkej-778	8	8	to	to	PART
alkej-778	8	9	calculate	calculate	VERB
alkej-778	8	10	both	both	DET
alkej-778	8	11	dunkerley	dunkerley	NOUN
alkej-778	8	12	's	's	PART
alkej-778	8	13	and	and	CCONJ
alkej-778	8	14	rayleigh	rayleigh	PROPN
alkej-778	8	15	's	's	PART
alkej-778	8	16	methods	method	NOUN
alkej-778	8	17	.	.	PUNCT
alkej-778	9	1	an	an	DET
alkej-778	9	2	experimental	experimental	ADJ
alkej-778	9	3	platform	platform	NOUN
alkej-778	9	4	was	be	AUX
alkej-778	9	5	built	build	VERB
alkej-778	9	6	to	to	PART
alkej-778	9	7	study	study	VERB
alkej-778	9	8	the	the	DET
alkej-778	9	9	vibrations	vibration	NOUN
alkej-778	9	10	that	that	PRON
alkej-778	9	11	occur	occur	VERB
alkej-778	9	12	in	in	ADP
alkej-778	9	13	the	the	DET
alkej-778	9	14	rotating	rotate	VERB
alkej-778	9	15	shafts	shaft	NOUN
alkej-778	9	16	,	,	PUNCT
alkej-778	9	17	and	and	CCONJ
alkej-778	9	18	the	the	DET
alkej-778	9	19	results	result	NOUN
alkej-778	9	20	were	be	AUX
alkej-778	9	21	compared	compare	VERB
alkej-778	9	22	with	with	ADP
alkej-778	9	23	theoretical	theoretical	ADJ
alkej-778	9	24	calculations	calculation	NOUN
alkej-778	9	25	and	and	CCONJ
alkej-778	9	26	with	with	ADP
alkej-778	9	27	different	different	ADJ
alkej-778	9	28	distances	distance	NOUN
alkej-778	9	29	of	of	ADP
alkej-778	9	30	the	the	DET
alkej-778	9	31	bearings	bearing	NOUN
alkej-778	9	32	.	.	PUNCT
alkej-778	10	1	it	it	PRON
alkej-778	10	2	proved	prove	VERB
alkej-778	10	3	that	that	SCONJ
alkej-778	10	4	there	there	PRON
alkej-778	10	5	is	be	VERB
alkej-778	10	6	very	very	ADV
alkej-778	10	7	little	little	ADJ
alkej-778	10	8	error	error	NOUN
alkej-778	10	9	between	between	ADP
alkej-778	10	10	the	the	DET
alkej-778	10	11	experimental	experimental	ADJ
alkej-778	10	12	and	and	CCONJ
alkej-778	10	13	theoretical	theoretical	ADJ
alkej-778	10	14	results	result	NOUN
alkej-778	10	15	.	.	PUNCT
alkej-778	11	1	the	the	DET
alkej-778	11	2	vibration	vibration	NOUN
alkej-778	11	3	signal	signal	NOUN
alkej-778	11	4	from	from	ADP
alkej-778	11	5	the	the	DET
alkej-778	11	6	sensors	sensor	NOUN
alkej-778	11	7	was	be	AUX
alkej-778	11	8	analyzed	analyze	VERB
alkej-778	11	9	using	use	VERB
alkej-778	11	10	the	the	DET
alkej-778	11	11	labview	labview	NOUN
alkej-778	11	12	program	program	NOUN
alkej-778	11	13	.	.	PUNCT
alkej-778	12	1	rayleigh	rayleigh	PROPN
alkej-778	12	2	's	's	PART
alkej-778	12	3	method	method	NOUN
alkej-778	12	4	was	be	AUX
alkej-778	12	5	compared	compare	VERB
alkej-778	12	6	to	to	ADP
alkej-778	12	7	the	the	DET
alkej-778	12	8	exact	exact	ADJ
alkej-778	12	9	method	method	NOUN
alkej-778	12	10	,	,	PUNCT
alkej-778	12	11	and	and	CCONJ
alkej-778	12	12	it	it	PRON
alkej-778	12	13	was	be	AUX
alkej-778	12	14	considered	consider	VERB
alkej-778	12	15	the	the	DET
alkej-778	12	16	most	most	ADV
alkej-778	12	17	accurate	accurate	ADJ
alkej-778	12	18	method	method	NOUN
alkej-778	12	19	.	.	PUNCT
alkej-778	13	1	it	it	PRON
alkej-778	13	2	was	be	AUX
alkej-778	13	3	found	find	VERB
alkej-778	13	4	that	that	SCONJ
alkej-778	13	5	it	it	PRON
alkej-778	13	6	made	make	VERB
alkej-778	13	7	very	very	ADV
alkej-778	13	8	little	little	ADJ
alkej-778	13	9	difference	difference	NOUN
alkej-778	13	10	,	,	PUNCT
alkej-778	13	11	up	up	ADP
alkej-778	13	12	to	to	ADP
alkej-778	13	13	about	about	ADP
alkej-778	13	14	0.06	0.06	NUM
alkej-778	13	15	%	%	NOUN
alkej-778	13	16	.	.	PUNCT
alkej-778	14	1	as	as	ADP
alkej-778	14	2	for	for	ADP
alkej-778	14	3	the	the	DET
alkej-778	14	4	dunkerley	dunkerley	NOUN
alkej-778	14	5	method	method	NOUN
alkej-778	14	6	,	,	PUNCT
alkej-778	14	7	the	the	DET
alkej-778	14	8	difference	difference	NOUN
alkej-778	14	9	between	between	ADP
alkej-778	14	10	it	it	PRON
alkej-778	14	11	and	and	CCONJ
alkej-778	14	12	the	the	DET
alkej-778	14	13	proper	proper	ADJ
alkej-778	14	14	method	method	NOUN
alkej-778	14	15	is	be	AUX
alkej-778	14	16	about	about	ADV
alkej-778	14	17	4	4	NUM
alkej-778	14	18	%	%	NOUN
alkej-778	14	19	,	,	PUNCT
alkej-778	14	20	which	which	PRON
alkej-778	14	21	is	be	AUX
alkej-778	14	22	acceptable	acceptable	ADJ
alkej-778	14	23	.	.	PUNCT
alkej-778	15	1	then	then	ADV
alkej-778	15	2	a	a	DET
alkej-778	15	3	comparison	comparison	NOUN
alkej-778	15	4	was	be	AUX
alkej-778	15	5	made	make	VERB
alkej-778	15	6	between	between	ADP
alkej-778	15	7	rayleigh	rayleigh	PROPN
alkej-778	15	8	's	's	PART
alkej-778	15	9	and	and	CCONJ
alkej-778	15	10	dunkerley	dunkerley	NOUN
alkej-778	15	11	's	's	PART
alkej-778	15	12	methods	method	NOUN
alkej-778	15	13	,	,	PUNCT
alkej-778	15	14	and	and	CCONJ
alkej-778	15	15	it	it	PRON
alkej-778	15	16	was	be	AUX
alkej-778	15	17	found	find	VERB
alkej-778	15	18	that	that	SCONJ
alkej-778	15	19	dunkerley	dunkerley	NOUN
alkej-778	15	20	's	's	PART
alkej-778	15	21	method	method	NOUN
alkej-778	15	22	is	be	AUX
alkej-778	15	23	the	the	DET
alkej-778	15	24	most	most	ADV
alkej-778	15	25	appropriate	appropriate	ADJ
alkej-778	15	26	in	in	ADP
alkej-778	15	27	the	the	DET
alkej-778	15	28	calculations	calculation	NOUN
alkej-778	15	29	.	.	PUNCT
alkej-778	16	1	keywords	keyword	NOUN
alkej-778	16	2	:	:	PUNCT
alkej-778	16	3	vibrations	vibration	NOUN
alkej-778	16	4	,	,	PUNCT
alkej-778	16	5	rotating	rotate	VERB
alkej-778	16	6	-	-	PUNCT
alkej-778	16	7	bearing	bear	VERB
alkej-778	16	8	system	system	NOUN
alkej-778	16	9	,	,	PUNCT
alkej-778	16	10	rayleigh	rayleigh	PROPN
alkej-778	16	11	,	,	PUNCT
alkej-778	16	12	dunkerley	dunkerley	NOUN
alkej-778	16	13	,	,	PUNCT
alkej-778	16	14	labview	labview	NOUN
alkej-778	16	15	.	.	PUNCT
alkej-778	17	1	1	1	X
alkej-778	17	2	.	.	X
alkej-778	17	3	introduction	introduction	NOUN
alkej-778	17	4	rotordynamics	rotordynamic	NOUN
alkej-778	17	5	is	be	AUX
alkej-778	17	6	the	the	DET
alkej-778	17	7	study	study	NOUN
alkej-778	17	8	of	of	ADP
alkej-778	17	9	the	the	DET
alkej-778	17	10	dynamics	dynamic	NOUN
alkej-778	17	11	of	of	ADP
alkej-778	17	12	rotating	rotate	VERB
alkej-778	17	13	machines	machine	NOUN
alkej-778	17	14	.	.	PUNCT
alkej-778	18	1	rotordynamics	rotordynamic	NOUN
alkej-778	18	2	varies	vary	VERB
alkej-778	18	3	from	from	ADP
alkej-778	18	4	structural	structural	ADJ
alkej-778	18	5	vibration	vibration	NOUN
alkej-778	18	6	research	research	NOUN
alkej-778	18	7	because	because	SCONJ
alkej-778	18	8	of	of	ADP
alkej-778	18	9	gyroscopic	gyroscopic	NOUN
alkej-778	18	10	moments	moment	NOUN
alkej-778	18	11	,	,	PUNCT
alkej-778	18	12	cross	cross	ADJ
alkej-778	18	13	-	-	ADJ
alkej-778	18	14	coupled	couple	VERB
alkej-778	18	15	forces	force	NOUN
alkej-778	18	16	,	,	PUNCT
alkej-778	18	17	and	and	CCONJ
alkej-778	18	18	the	the	DET
alkej-778	18	19	possibility	possibility	NOUN
alkej-778	18	20	of	of	ADP
alkej-778	18	21	whirling	whirl	VERB
alkej-778	18	22	instability	instability	NOUN
alkej-778	18	23	[	[	X
alkej-778	18	24	1	1	NUM
alkej-778	18	25	]	]	PUNCT
alkej-778	18	26	.	.	PUNCT
alkej-778	19	1	many	many	ADJ
alkej-778	19	2	industrial	industrial	ADJ
alkej-778	19	3	applications	application	NOUN
alkej-778	19	4	,	,	PUNCT
alkej-778	19	5	including	include	VERB
alkej-778	19	6	onboard	onboard	ADP
alkej-778	19	7	space	space	NOUN
alkej-778	19	8	vehicles	vehicle	NOUN
alkej-778	19	9	,	,	PUNCT
alkej-778	19	10	revolving	revolve	VERB
alkej-778	19	11	machinery	machinery	NOUN
alkej-778	19	12	in	in	ADP
alkej-778	19	13	electrical	electrical	ADJ
alkej-778	19	14	power	power	NOUN
alkej-778	19	15	plants	plant	NOUN
alkej-778	19	16	,	,	PUNCT
alkej-778	19	17	and	and	CCONJ
alkej-778	19	18	power	power	NOUN
alkej-778	19	19	transmission	transmission	NOUN
alkej-778	19	20	gear	gear	NOUN
alkej-778	19	21	trains	train	NOUN
alkej-778	19	22	,	,	PUNCT
alkej-778	19	23	utilize	utilize	VERB
alkej-778	19	24	rigid	rigid	ADJ
alkej-778	19	25	rotor	rotor	NOUN
alkej-778	19	26	systems	system	NOUN
alkej-778	19	27	aided	aid	VERB
alkej-778	19	28	by	by	ADP
alkej-778	19	29	linear	linear	ADJ
alkej-778	19	30	or	or	CCONJ
alkej-778	19	31	nonlinear	nonlinear	ADJ
alkej-778	19	32	elastic	elastic	ADJ
alkej-778	19	33	bearings	bearing	NOUN
alkej-778	19	34	.	.	PUNCT
alkej-778	20	1	in	in	ADP
alkej-778	20	2	rotating	rotate	VERB
alkej-778	20	3	systems	system	NOUN
alkej-778	20	4	vibration	vibration	NOUN
alkej-778	20	5	can	can	AUX
alkej-778	20	6	cause	cause	VERB
alkej-778	20	7	inefficiency	inefficiency	NOUN
alkej-778	20	8	,	,	PUNCT
alkej-778	20	9	malfunction	malfunction	NOUN
alkej-778	20	10	,	,	PUNCT
alkej-778	20	11	and	and	CCONJ
alkej-778	20	12	even	even	ADV
alkej-778	20	13	catastrophic	catastrophic	ADJ
alkej-778	20	14	failure	failure	NOUN
alkej-778	20	15	.	.	PUNCT
alkej-778	21	1	as	as	ADP
alkej-778	21	2	a	a	DET
alkej-778	21	3	result	result	NOUN
alkej-778	21	4	,	,	PUNCT
alkej-778	21	5	modeling	modeling	NOUN
alkej-778	21	6	and	and	CCONJ
alkej-778	21	7	understanding	understand	VERB
alkej-778	21	8	their	their	PRON
alkej-778	21	9	complex	complex	ADJ
alkej-778	21	10	behavior	behavior	NOUN
alkej-778	21	11	has	have	AUX
alkej-778	21	12	become	become	VERB
alkej-778	21	13	a	a	DET
alkej-778	21	14	prominent	prominent	ADJ
alkej-778	21	15	study	study	NOUN
alkej-778	21	16	topic	topic	NOUN
alkej-778	21	17	[	[	X
alkej-778	21	18	2	2	NUM
alkej-778	21	19	-	-	SYM
alkej-778	21	20	4	4	NUM
alkej-778	21	21	]	]	PUNCT
alkej-778	21	22	.	.	PUNCT
alkej-778	22	1	a	a	DET
alkej-778	22	2	rotor	rotor	NOUN
alkej-778	22	3	-	-	PUNCT
alkej-778	22	4	bearing	bear	VERB
alkej-778	22	5	mechanism	mechanism	NOUN
alkej-778	22	6	can	can	AUX
alkej-778	22	7	show	show	VERB
alkej-778	22	8	undesirable	undesirable	ADJ
alkej-778	22	9	subcritical	subcritical	ADJ
alkej-778	22	10	super	super	ADJ
alkej-778	22	11	-	-	ADJ
alkej-778	22	12	harmonic	harmonic	ADJ
alkej-778	22	13	resonances	resonance	NOUN
alkej-778	22	14	when	when	SCONJ
alkej-778	22	15	the	the	DET
alkej-778	22	16	rotor	rotor	NOUN
alkej-778	22	17	's	's	PART
alkej-778	22	18	spinning	spinning	NOUN
alkej-778	22	19	speed	speed	NOUN
alkej-778	22	20	is	be	AUX
alkej-778	22	21	a	a	DET
alkej-778	22	22	part	part	NOUN
alkej-778	22	23	of	of	ADP
alkej-778	22	24	its	its	PRON
alkej-778	22	25	natural	natural	ADJ
alkej-778	22	26	frequency	frequency	NOUN
alkej-778	23	1	[	[	X
alkej-778	23	2	5	5	NUM
alkej-778	23	3	]	]	PUNCT
alkej-778	23	4	.	.	PUNCT
alkej-778	24	1	vibration	vibration	NOUN
alkej-778	24	2	is	be	AUX
alkej-778	24	3	a	a	DET
alkej-778	24	4	natural	natural	ADJ
alkej-778	24	5	occurrence	occurrence	NOUN
alkej-778	24	6	in	in	ADP
alkej-778	24	7	rotating	rotate	VERB
alkej-778	24	8	machinery	machinery	NOUN
alkej-778	24	9	,	,	PUNCT
alkej-778	24	10	but	but	CCONJ
alkej-778	24	11	it	it	PRON
alkej-778	24	12	has	have	VERB
alkej-778	24	13	the	the	DET
alkej-778	24	14	potential	potential	NOUN
alkej-778	24	15	to	to	PART
alkej-778	24	16	reduce	reduce	VERB
alkej-778	24	17	productivity	productivity	NOUN
alkej-778	24	18	[	[	X
alkej-778	24	19	6	6	NUM
alkej-778	24	20	,	,	PUNCT
alkej-778	24	21	7	7	NUM
alkej-778	24	22	]	]	PUNCT
alkej-778	24	23	.	.	PUNCT
alkej-778	25	1	thus	thus	ADV
alkej-778	25	2	,	,	PUNCT
alkej-778	25	3	while	while	SCONJ
alkej-778	25	4	investigating	investigate	VERB
alkej-778	25	5	the	the	DET
alkej-778	25	6	work	work	NOUN
alkej-778	25	7	of	of	ADP
alkej-778	25	8	machines	machine	NOUN
alkej-778	25	9	in	in	ADP
alkej-778	25	10	general	general	ADJ
alkej-778	25	11	(	(	PUNCT
alkej-778	25	12	and	and	CCONJ
alkej-778	25	13	rotating	rotate	VERB
alkej-778	25	14	machines	machine	NOUN
alkej-778	25	15	in	in	ADP
alkej-778	25	16	particular	particular	ADJ
alkej-778	25	17	)	)	PUNCT
alkej-778	25	18	,	,	PUNCT
alkej-778	25	19	vibrations	vibration	NOUN
alkej-778	25	20	are	be	AUX
alkej-778	25	21	a	a	DET
alkej-778	25	22	serious	serious	ADJ
alkej-778	25	23	concern	concern	NOUN
alkej-778	25	24	for	for	ADP
alkej-778	25	25	designers	designer	NOUN
alkej-778	25	26	,	,	PUNCT
alkej-778	25	27	engineers	engineer	NOUN
alkej-778	25	28	,	,	PUNCT
alkej-778	25	29	and	and	CCONJ
alkej-778	25	30	researchers	researcher	NOUN
alkej-778	25	31	.	.	PUNCT
alkej-778	26	1	as	as	ADP
alkej-778	26	2	a	a	DET
alkej-778	26	3	consequence	consequence	NOUN
alkej-778	26	4	,	,	PUNCT
alkej-778	26	5	the	the	DET
alkej-778	26	6	focus	focus	NOUN
alkej-778	26	7	will	will	AUX
alkej-778	26	8	be	be	AUX
alkej-778	26	9	on	on	ADP
alkej-778	26	10	studying	study	VERB
alkej-778	26	11	vibrations	vibration	NOUN
alkej-778	26	12	,	,	PUNCT
alkej-778	26	13	determining	determine	VERB
alkej-778	26	14	the	the	DET
alkej-778	26	15	most	most	ADV
alkej-778	26	16	appropriate	appropriate	ADJ
alkej-778	26	17	method	method	NOUN
alkej-778	26	18	of	of	ADP
alkej-778	26	19	analysis	analysis	NOUN
alkej-778	26	20	,	,	PUNCT
alkej-778	26	21	and	and	CCONJ
alkej-778	26	22	determining	determine	VERB
alkej-778	26	23	the	the	DET
alkej-778	26	24	values	value	NOUN
alkej-778	26	25	of	of	ADP
alkej-778	26	26	critical	critical	ADJ
alkej-778	26	27	frequencies	frequency	NOUN
alkej-778	26	28	arising	arise	VERB
alkej-778	26	29	from	from	ADP
alkej-778	26	30	an	an	DET
alkej-778	26	31	imbalance	imbalance	NOUN
alkej-778	26	32	in	in	ADP
alkej-778	26	33	machines	machine	NOUN
alkej-778	26	34	.	.	PUNCT
alkej-778	27	1	mass	mass	ADJ
alkej-778	27	2	imbalance	imbalance	NOUN
alkej-778	27	3	is	be	AUX
alkej-778	27	4	the	the	DET
alkej-778	27	5	most	most	ADV
alkej-778	27	6	common	common	ADJ
alkej-778	27	7	cause	cause	NOUN
alkej-778	27	8	of	of	ADP
alkej-778	27	9	harmonic	harmonic	ADJ
alkej-778	27	10	excitation	excitation	NOUN
alkej-778	27	11	in	in	ADP
alkej-778	27	12	rotating	rotate	VERB
alkej-778	27	13	machinery	machinery	NOUN
alkej-778	27	14	.	.	PUNCT
alkej-778	28	1	an	an	DET
alkej-778	28	2	karrar	karrar	NOUN
alkej-778	28	3	baher	baher	ADP
alkej-778	28	4	al	al	PROPN
alkej-778	28	5	-	-	PUNCT
alkej-778	28	6	khwarizmi	khwarizmi	PROPN
alkej-778	28	7	engineering	engineering	NOUN
alkej-778	28	8	journal	journal	PROPN
alkej-778	28	9	,	,	PUNCT
alkej-778	28	10	vol	vol	NOUN
alkej-778	28	11	.	.	PROPN
alkej-778	28	12	18	18	NUM
alkej-778	28	13	,	,	PUNCT
alkej-778	28	14	no	no	INTJ
alkej-778	28	15	.	.	NOUN
alkej-778	28	16	2	2	NUM
alkej-778	28	17	,	,	PUNCT
alkej-778	28	18	p.p	p.p	PROPN
alkej-778	28	19	.	.	NOUN
alkej-778	28	20	2942	2942	NUM
alkej-778	28	21	(	(	PUNCT
alkej-778	28	22	2022	2022	NUM
alkej-778	28	23	)	)	PUNCT
alkej-778	28	24	30	30	NUM
alkej-778	28	25	imbalance	imbalance	NOUN
alkej-778	28	26	can	can	AUX
alkej-778	28	27	arise	arise	VERB
alkej-778	28	28	during	during	ADP
alkej-778	28	29	the	the	DET
alkej-778	28	30	assembling	assembling	NOUN
alkej-778	28	31	of	of	ADP
alkej-778	28	32	machine	machine	NOUN
alkej-778	28	33	components	component	NOUN
alkej-778	28	34	or	or	CCONJ
alkej-778	28	35	during	during	ADP
alkej-778	28	36	the	the	DET
alkej-778	28	37	manufacturing	manufacturing	NOUN
alkej-778	28	38	process	process	NOUN
alkej-778	28	39	of	of	ADP
alkej-778	28	40	machine	machine	NOUN
alkej-778	28	41	components	component	NOUN
alkej-778	28	42	.	.	PUNCT
alkej-778	29	1	even	even	ADV
alkej-778	29	2	if	if	SCONJ
alkej-778	29	3	a	a	DET
alkej-778	29	4	rotor	rotor	NOUN
alkej-778	29	5	is	be	AUX
alkej-778	29	6	adequately	adequately	ADV
alkej-778	29	7	balanced	balanced	ADJ
alkej-778	29	8	when	when	SCONJ
alkej-778	29	9	it	it	PRON
alkej-778	29	10	first	first	ADV
alkej-778	29	11	starts	start	VERB
alkej-778	29	12	up	up	ADP
alkej-778	29	13	,	,	PUNCT
alkej-778	29	14	its	its	PRON
alkej-778	29	15	stability	stability	NOUN
alkej-778	29	16	will	will	AUX
alkej-778	29	17	diminish	diminish	VERB
alkej-778	29	18	over	over	ADP
alkej-778	29	19	time	time	NOUN
alkej-778	29	20	.	.	PUNCT
alkej-778	30	1	another	another	DET
alkej-778	30	2	vibration	vibration	NOUN
alkej-778	30	3	response	response	NOUN
alkej-778	30	4	,	,	PUNCT
alkej-778	30	5	such	such	ADJ
alkej-778	30	6	as	as	ADP
alkej-778	30	7	vibration	vibration	NOUN
alkej-778	30	8	from	from	ADP
alkej-778	30	9	a	a	DET
alkej-778	30	10	nearby	nearby	ADJ
alkej-778	30	11	unbalanced	unbalanced	ADJ
alkej-778	30	12	rotating	rotate	VERB
alkej-778	30	13	machine	machine	NOUN
alkej-778	30	14	,	,	PUNCT
alkej-778	30	15	could	could	AUX
alkej-778	30	16	be	be	AUX
alkej-778	30	17	excited	excite	VERB
alkej-778	30	18	at	at	ADP
alkej-778	30	19	the	the	DET
alkej-778	30	20	base	base	NOUN
alkej-778	30	21	of	of	ADP
alkej-778	30	22	a	a	DET
alkej-778	30	23	spinning	spinning	NOUN
alkej-778	30	24	machine	machine	NOUN
alkej-778	30	25	with	with	ADP
alkej-778	30	26	its	its	PRON
alkej-778	30	27	own	own	ADJ
alkej-778	30	28	mass	mass	NOUN
alkej-778	30	29	imbalance	imbalance	NOUN
alkej-778	30	30	oscillation	oscillation	NOUN
alkej-778	31	1	[	[	X
alkej-778	31	2	2	2	NUM
alkej-778	31	3	]	]	PUNCT
alkej-778	31	4	.	.	PUNCT
alkej-778	32	1	one	one	NUM
alkej-778	32	2	of	of	ADP
alkej-778	32	3	the	the	DET
alkej-778	32	4	most	most	ADV
alkej-778	32	5	common	common	ADJ
alkej-778	32	6	causes	cause	NOUN
alkej-778	32	7	of	of	ADP
alkej-778	32	8	machine	machine	NOUN
alkej-778	32	9	vibration	vibration	NOUN
alkej-778	32	10	is	be	AUX
alkej-778	32	11	the	the	DET
alkej-778	32	12	inertia	inertia	NOUN
alkej-778	32	13	of	of	ADP
alkej-778	32	14	the	the	DET
alkej-778	32	15	machine	machine	NOUN
alkej-778	32	16	's	's	PART
alkej-778	32	17	moving	move	VERB
alkej-778	32	18	elements	element	NOUN
alkej-778	32	19	.	.	PUNCT
alkej-778	33	1	in	in	ADP
alkej-778	33	2	a	a	DET
alkej-778	33	3	reciprocating	reciprocate	VERB
alkej-778	33	4	motion	motion	NOUN
alkej-778	33	5	,	,	PUNCT
alkej-778	33	6	several	several	ADJ
alkej-778	33	7	components	component	NOUN
alkej-778	33	8	move	move	VERB
alkej-778	33	9	back	back	ADV
alkej-778	33	10	and	and	CCONJ
alkej-778	33	11	forth	forth	ADV
alkej-778	33	12	.	.	PUNCT
alkej-778	34	1	newton	newton	PROPN
alkej-778	34	2	's	's	PART
alkej-778	34	3	laws	law	NOUN
alkej-778	34	4	require	require	VERB
alkej-778	34	5	that	that	SCONJ
alkej-778	34	6	a	a	DET
alkej-778	34	7	force	force	NOUN
alkej-778	34	8	is	be	AUX
alkej-778	34	9	applied	apply	VERB
alkej-778	34	10	to	to	PART
alkej-778	34	11	accelerate	accelerate	VERB
alkej-778	34	12	the	the	DET
alkej-778	34	13	mass	mass	NOUN
alkej-778	34	14	,	,	PUNCT
alkej-778	34	15	as	as	ADV
alkej-778	34	16	well	well	ADV
alkej-778	34	17	as	as	ADP
alkej-778	34	18	a	a	DET
alkej-778	34	19	response	response	NOUN
alkej-778	34	20	from	from	ADP
alkej-778	34	21	the	the	DET
alkej-778	34	22	force	force	NOUN
alkej-778	34	23	to	to	ADP
alkej-778	34	24	the	the	DET
alkej-778	34	25	machine	machine	NOUN
alkej-778	34	26	's	's	PART
alkej-778	34	27	structure	structure	NOUN
alkej-778	34	28	.	.	PUNCT
alkej-778	35	1	periodic	periodic	ADJ
alkej-778	35	2	deflections	deflection	NOUN
alkej-778	35	3	are	be	AUX
alkej-778	35	4	perceived	perceive	VERB
alkej-778	35	5	as	as	ADP
alkej-778	35	6	vibrations	vibration	NOUN
alkej-778	35	7	because	because	SCONJ
alkej-778	35	8	the	the	DET
alkej-778	35	9	forces	force	NOUN
alkej-778	35	10	are	be	AUX
alkej-778	35	11	generally	generally	ADV
alkej-778	35	12	periodic	periodic	ADJ
alkej-778	35	13	[	[	X
alkej-778	35	14	1	1	NUM
alkej-778	35	15	]	]	PUNCT
alkej-778	35	16	.	.	PUNCT
alkej-778	36	1	tiwari	tiwari	PROPN
alkej-778	37	1	[	[	X
alkej-778	37	2	8	8	NUM
alkej-778	37	3	]	]	PUNCT
alkej-778	37	4	proposed	propose	VERB
alkej-778	37	5	a	a	DET
alkej-778	37	6	well	well	ADV
alkej-778	37	7	-	-	PUNCT
alkej-778	37	8	conditioned	condition	VERB
alkej-778	37	9	recognition	recognition	NOUN
alkej-778	37	10	technique	technique	NOUN
alkej-778	37	11	for	for	ADP
alkej-778	37	12	simultaneous	simultaneous	ADJ
alkej-778	37	13	calculation	calculation	NOUN
alkej-778	37	14	of	of	ADP
alkej-778	37	15	residual	residual	ADJ
alkej-778	37	16	imbalances	imbalance	NOUN
alkej-778	37	17	,	,	PUNCT
alkej-778	37	18	bearing	bear	VERB
alkej-778	37	19	stiffness	stiffness	NOUN
alkej-778	37	20	,	,	PUNCT
alkej-778	37	21	and	and	CCONJ
alkej-778	37	22	damping	damp	VERB
alkej-778	37	23	coefficients	coefficient	NOUN
alkej-778	37	24	based	base	VERB
alkej-778	37	25	on	on	ADP
alkej-778	37	26	the	the	DET
alkej-778	37	27	rotor	rotor	NOUN
alkej-778	37	28	's	's	PART
alkej-778	37	29	clockwise	clockwise	NOUN
alkej-778	37	30	and	and	CCONJ
alkej-778	37	31	counter	counter	NOUN
alkej-778	37	32	-	-	NOUN
alkej-778	37	33	clockwise	clockwise	NOUN
alkej-778	37	34	reactions	reaction	NOUN
alkej-778	37	35	.	.	PUNCT
alkej-778	38	1	reddy	reddy	PROPN
alkej-778	38	2	and	and	CCONJ
alkej-778	38	3	srinivas	srinivas	PROPN
alkej-778	39	1	[	[	X
alkej-778	39	2	9	9	NUM
alkej-778	39	3	]	]	PUNCT
alkej-778	39	4	investigated	investigate	VERB
alkej-778	39	5	the	the	DET
alkej-778	39	6	dynamic	dynamic	ADJ
alkej-778	39	7	analysis	analysis	NOUN
alkej-778	39	8	of	of	ADP
alkej-778	39	9	a	a	DET
alkej-778	39	10	rotor	rotor	NOUN
alkej-778	39	11	with	with	ADP
alkej-778	39	12	base	base	ADJ
alkej-778	39	13	excitation	excitation	NOUN
alkej-778	39	14	.	.	PUNCT
alkej-778	40	1	with	with	ADP
alkej-778	40	2	time	time	NOUN
alkej-778	40	3	histories	history	NOUN
alkej-778	40	4	,	,	PUNCT
alkej-778	40	5	phase	phase	NOUN
alkej-778	40	6	diagrams	diagram	NOUN
alkej-778	40	7	,	,	PUNCT
alkej-778	40	8	and	and	CCONJ
alkej-778	40	9	frequency	frequency	NOUN
alkej-778	40	10	responses	response	NOUN
alkej-778	40	11	,	,	PUNCT
alkej-778	40	12	the	the	DET
alkej-778	40	13	effect	effect	NOUN
alkej-778	40	14	of	of	ADP
alkej-778	40	15	base	base	NOUN
alkej-778	40	16	excitation	excitation	NOUN
alkej-778	40	17	frequency	frequency	NOUN
alkej-778	40	18	and	and	CCONJ
alkej-778	40	19	amplitude	amplitude	NOUN
alkej-778	40	20	on	on	ADP
alkej-778	40	21	rotor	rotor	NOUN
alkej-778	40	22	dynamics	dynamic	NOUN
alkej-778	40	23	is	be	AUX
alkej-778	40	24	demonstrated	demonstrate	VERB
alkej-778	40	25	.	.	PUNCT
alkej-778	41	1	wang	wang	PROPN
alkej-778	41	2	et	et	PROPN
alkej-778	41	3	al	al	PROPN
alkej-778	41	4	.	.	PUNCT
alkej-778	42	1	[	[	X
alkej-778	42	2	10	10	NUM
alkej-778	42	3	]	]	PUNCT
alkej-778	42	4	focused	focus	VERB
alkej-778	42	5	on	on	ADP
alkej-778	42	6	the	the	DET
alkej-778	42	7	imbalance	imbalance	NOUN
alkej-778	42	8	reaction	reaction	NOUN
alkej-778	42	9	,	,	PUNCT
alkej-778	42	10	and	and	CCONJ
alkej-778	42	11	they	they	PRON
alkej-778	42	12	proposed	propose	VERB
alkej-778	42	13	an	an	DET
alkej-778	42	14	algorithm	algorithm	NOUN
alkej-778	42	15	for	for	ADP
alkej-778	42	16	detecting	detect	VERB
alkej-778	42	17	residual	residual	ADJ
alkej-778	42	18	imbalances	imbalance	NOUN
alkej-778	42	19	in	in	ADP
alkej-778	42	20	the	the	DET
alkej-778	42	21	rotor	rotor	NOUN
alkej-778	42	22	and	and	CCONJ
alkej-778	42	23	bearings	bearing	NOUN
alkej-778	42	24	at	at	ADP
alkej-778	42	25	the	the	DET
alkej-778	42	26	same	same	ADJ
alkej-778	42	27	time	time	NOUN
alkej-778	42	28	.	.	PUNCT
alkej-778	43	1	the	the	DET
alkej-778	43	2	rotor	rotor	NOUN
alkej-778	43	3	was	be	AUX
alkej-778	43	4	represented	represent	VERB
alkej-778	43	5	as	as	ADP
alkej-778	43	6	a	a	DET
alkej-778	43	7	homogenous	homogenous	ADJ
alkej-778	43	8	and	and	CCONJ
alkej-778	43	9	continuous	continuous	ADJ
alkej-778	43	10	rayleigh	rayleigh	PROPN
alkej-778	43	11	beam	beam	NOUN
alkej-778	43	12	.	.	PUNCT
alkej-778	44	1	yang	yang	PROPN
alkej-778	44	2	and	and	CCONJ
alkej-778	44	3	colleagues	colleague	NOUN
alkej-778	45	1	[	[	X
alkej-778	45	2	11	11	NUM
alkej-778	45	3	]	]	PUNCT
alkej-778	45	4	used	use	VERB
alkej-778	45	5	a	a	DET
alkej-778	45	6	new	new	ADJ
alkej-778	45	7	sort	sort	NOUN
alkej-778	45	8	of	of	ADP
alkej-778	45	9	tvrbse	tvrbse	NOUN
alkej-778	45	10	based	base	VERB
alkej-778	45	11	on	on	ADP
alkej-778	45	12	the	the	DET
alkej-778	45	13	formulation	formulation	NOUN
alkej-778	45	14	of	of	ADP
alkej-778	45	15	absolute	absolute	ADJ
alkej-778	45	16	node	node	ADJ
alkej-778	45	17	coordinates	coordinate	NOUN
alkej-778	45	18	and	and	CCONJ
alkej-778	45	19	rayleigh	rayleigh	PROPN
alkej-778	45	20	beam	beam	PROPN
alkej-778	45	21	theory	theory	NOUN
alkej-778	45	22	under	under	ADP
alkej-778	45	23	an	an	DET
alkej-778	45	24	arbitrary	arbitrary	ADJ
alkej-778	45	25	lagrange	lagrange	NOUN
alkej-778	45	26	-	-	PUNCT
alkej-778	45	27	euler	euler	NOUN
alkej-778	45	28	description	description	NOUN
alkej-778	45	29	to	to	PART
alkej-778	45	30	develop	develop	VERB
alkej-778	45	31	a	a	DET
alkej-778	45	32	dynamic	dynamic	ADJ
alkej-778	45	33	model	model	NOUN
alkej-778	45	34	of	of	ADP
alkej-778	45	35	a	a	DET
alkej-778	45	36	moving	move	VERB
alkej-778	45	37	and	and	CCONJ
alkej-778	45	38	axially	axially	ADV
alkej-778	45	39	rotating	rotate	VERB
alkej-778	45	40	rayleigh	rayleigh	PROPN
alkej-778	45	41	beam	beam	NOUN
alkej-778	45	42	.	.	PUNCT
alkej-778	46	1	zhu	zhu	PROPN
alkej-778	46	2	and	and	CCONJ
alkej-778	46	3	j.	j.	PROPN
alkej-778	46	4	chung	chung	PROPN
alkej-778	47	1	[	[	X
alkej-778	47	2	12	12	NUM
alkej-778	47	3	]	]	PUNCT
alkej-778	47	4	used	use	VERB
alkej-778	47	5	the	the	DET
alkej-778	47	6	proposed	propose	VERB
alkej-778	47	7	dynamical	dynamical	ADJ
alkej-778	47	8	model	model	NOUN
alkej-778	47	9	to	to	PART
alkej-778	47	10	investigate	investigate	VERB
alkej-778	47	11	the	the	DET
alkej-778	47	12	vibration	vibration	NOUN
alkej-778	47	13	and	and	CCONJ
alkej-778	47	14	stability	stability	NOUN
alkej-778	47	15	of	of	ADP
alkej-778	47	16	a	a	DET
alkej-778	47	17	rotating	rotate	VERB
alkej-778	47	18	rayleigh	rayleigh	PROPN
alkej-778	47	19	beam	beam	NOUN
alkej-778	47	20	with	with	ADP
alkej-778	47	21	axial	axial	ADJ
alkej-778	47	22	motion	motion	NOUN
alkej-778	47	23	.	.	PUNCT
alkej-778	48	1	to	to	PART
alkej-778	48	2	completely	completely	ADV
alkej-778	48	3	consider	consider	VERB
alkej-778	48	4	the	the	DET
alkej-778	48	5	terms	term	NOUN
alkej-778	48	6	of	of	ADP
alkej-778	48	7	rotating	rotate	VERB
alkej-778	48	8	inertia	inertia	NOUN
alkej-778	48	9	,	,	PUNCT
alkej-778	48	10	they	they	PRON
alkej-778	48	11	used	use	VERB
alkej-778	48	12	the	the	DET
alkej-778	48	13	rayleigh	rayleigh	PROPN
alkej-778	48	14	ray	ray	PROPN
alkej-778	48	15	theory	theory	NOUN
alkej-778	48	16	.	.	PUNCT
alkej-778	49	1	farshbaf	farshbaf	PROPN
alkej-778	49	2	zinati	zinati	PROPN
alkej-778	49	3	,	,	PUNCT
alkej-778	49	4	r.	r.	PROPN
alkej-778	49	5	,	,	PUNCT
alkej-778	49	6	et	et	PROPN
alkej-778	49	7	al	al	PROPN
alkej-778	49	8	.	.	PUNCT
alkej-778	50	1	[	[	X
alkej-778	50	2	13	13	NUM
alkej-778	50	3	]	]	PUNCT
alkej-778	50	4	analyzed	analyze	VERB
alkej-778	50	5	the	the	DET
alkej-778	50	6	stabilization	stabilization	NOUN
alkej-778	50	7	and	and	CCONJ
alkej-778	50	8	nonlinear	nonlinear	ADJ
alkej-778	50	9	vibration	vibration	NOUN
alkej-778	50	10	of	of	ADP
alkej-778	50	11	a	a	DET
alkej-778	50	12	simply	simply	ADV
alkej-778	50	13	supported	support	VERB
alkej-778	50	14	axially	axially	ADV
alkej-778	50	15	moving	move	VERB
alkej-778	50	16	rayleigh	rayleigh	PROPN
alkej-778	50	17	viscoelastic	viscoelastic	NOUN
alkej-778	50	18	beam	beam	NOUN
alkej-778	50	19	fitted	fit	VERB
alkej-778	50	20	with	with	ADP
alkej-778	50	21	intermediate	intermediate	ADJ
alkej-778	50	22	nonlinear	nonlinear	ADJ
alkej-778	50	23	support	support	NOUN
alkej-778	50	24	.	.	PUNCT
alkej-778	51	1	aouadi	aouadi	NOUN
alkej-778	51	2	,	,	PUNCT
alkej-778	51	3	m.	m.	NOUN
alkej-778	51	4	a.	a.	PROPN
alkej-778	51	5	,	,	PUNCT
alkej-778	51	6	&	&	CCONJ
alkej-778	51	7	lakrad	lakrad	PROPN
alkej-778	51	8	,	,	PUNCT
alkej-778	51	9	f.	f.	PROPN
alkej-778	52	1	[	[	X
alkej-778	52	2	14	14	NUM
alkej-778	52	3	]	]	PUNCT
alkej-778	52	4	discussed	discuss	VERB
alkej-778	52	5	the	the	DET
alkej-778	52	6	three	three	NUM
alkej-778	52	7	-	-	PUNCT
alkej-778	52	8	dimensional	dimensional	ADJ
alkej-778	52	9	bending	bending	NOUN
alkej-778	52	10	linear	linear	ADJ
alkej-778	52	11	free	free	ADJ
alkej-778	52	12	vibrations	vibration	NOUN
alkej-778	52	13	of	of	ADP
alkej-778	52	14	rotating	rotate	VERB
alkej-778	52	15	rayleigh	rayleigh	NOUN
alkej-778	52	16	beams	beam	NOUN
alkej-778	52	17	.	.	PUNCT
alkej-778	53	1	the	the	DET
alkej-778	53	2	destabilization	destabilization	NOUN
alkej-778	53	3	of	of	ADP
alkej-778	53	4	free	free	ADJ
alkej-778	53	5	vibrations	vibration	NOUN
alkej-778	53	6	was	be	AUX
alkej-778	53	7	found	find	VERB
alkej-778	53	8	to	to	PART
alkej-778	53	9	be	be	AUX
alkej-778	53	10	dependent	dependent	ADJ
alkej-778	53	11	on	on	ADP
alkej-778	53	12	the	the	DET
alkej-778	53	13	linearization	linearization	NOUN
alkej-778	53	14	method	method	NOUN
alkej-778	53	15	that	that	PRON
alkej-778	53	16	was	be	AUX
alkej-778	53	17	used	use	VERB
alkej-778	53	18	.	.	PUNCT
alkej-778	54	1	faraji	faraji	PROPN
alkej-778	54	2	muhairi	muhairi	PROPN
alkej-778	54	3	,	,	PUNCT
alkej-778	54	4	m	m	PROPN
alkej-778	54	5	,	,	PUNCT
alkej-778	54	6	et	et	PROPN
alkej-778	54	7	al	al	PROPN
alkej-778	54	8	.	.	PUNCT
alkej-778	55	1	[	[	X
alkej-778	55	2	15	15	NUM
alkej-778	55	3	]	]	PUNCT
alkej-778	55	4	studied	study	VERB
alkej-778	55	5	the	the	DET
alkej-778	55	6	effect	effect	NOUN
alkej-778	55	7	of	of	ADP
alkej-778	55	8	angular	angular	ADJ
alkej-778	55	9	velocity	velocity	NOUN
alkej-778	55	10	on	on	ADP
alkej-778	55	11	the	the	DET
alkej-778	55	12	balance	balance	NOUN
alkej-778	55	13	and	and	CCONJ
alkej-778	55	14	vibration	vibration	NOUN
alkej-778	55	15	of	of	ADP
alkej-778	55	16	a	a	DET
alkej-778	55	17	simply	simply	ADV
alkej-778	55	18	supported	support	VERB
alkej-778	55	19	rayleigh	rayleigh	PROPN
alkej-778	55	20	shaft	shaft	NOUN
alkej-778	55	21	.	.	PUNCT
alkej-778	56	1	the	the	DET
alkej-778	56	2	distinctions	distinction	NOUN
alkej-778	56	3	between	between	ADP
alkej-778	56	4	the	the	DET
alkej-778	56	5	rayleigh	rayleigh	PROPN
alkej-778	56	6	and	and	CCONJ
alkej-778	56	7	eulerbernoulli	eulerbernoulli	NOUN
alkej-778	56	8	models	model	NOUN
alkej-778	56	9	are	be	AUX
alkej-778	56	10	presented	present	VERB
alkej-778	56	11	.	.	PUNCT
alkej-778	57	1	the	the	DET
alkej-778	57	2	influence	influence	NOUN
alkej-778	57	3	of	of	ADP
alkej-778	57	4	the	the	DET
alkej-778	57	5	slenderness	slenderness	ADJ
alkej-778	57	6	ratio	ratio	NOUN
alkej-778	57	7	on	on	ADP
alkej-778	57	8	the	the	DET
alkej-778	57	9	instability	instability	NOUN
alkej-778	57	10	threshold	threshold	NOUN
alkej-778	57	11	and	and	CCONJ
alkej-778	57	12	natural	natural	ADJ
alkej-778	57	13	frequencies	frequency	NOUN
alkej-778	57	14	is	be	AUX
alkej-778	57	15	seen	see	VERB
alkej-778	57	16	.	.	PUNCT
alkej-778	58	1	zhu	zhu	PROPN
alkej-778	58	2	and	and	CCONJ
alkej-778	58	3	chung	chung	VERB
alkej-778	59	1	[	[	X
alkej-778	59	2	16	16	NUM
alkej-778	59	3	]	]	PUNCT
alkej-778	59	4	addressed	address	VERB
alkej-778	59	5	the	the	DET
alkej-778	59	6	beam	beam	NOUN
alkej-778	59	7	's	's	PART
alkej-778	59	8	dynamic	dynamic	ADJ
alkej-778	59	9	behaviors	behavior	NOUN
alkej-778	59	10	and	and	CCONJ
alkej-778	59	11	properties	property	NOUN
alkej-778	59	12	,	,	PUNCT
alkej-778	59	13	as	as	ADV
alkej-778	59	14	well	well	ADV
alkej-778	59	15	as	as	ADP
alkej-778	59	16	a	a	DET
alkej-778	59	17	novel	novel	NOUN
alkej-778	59	18	rotating	rotate	VERB
alkej-778	59	19	beam	beam	NOUN
alkej-778	59	20	model	model	NOUN
alkej-778	59	21	that	that	PRON
alkej-778	59	22	is	be	AUX
alkej-778	59	23	currently	currently	ADV
alkej-778	59	24	being	be	AUX
alkej-778	59	25	implemented	implement	VERB
alkej-778	59	26	.	.	PUNCT
alkej-778	60	1	the	the	DET
alkej-778	60	2	spinning	spin	VERB
alkej-778	60	3	beam	beam	NOUN
alkej-778	60	4	's	's	PART
alkej-778	60	5	dynamic	dynamic	ADJ
alkej-778	60	6	behavior	behavior	NOUN
alkej-778	60	7	and	and	CCONJ
alkej-778	60	8	vibration	vibration	NOUN
alkej-778	60	9	frequency	frequency	NOUN
alkej-778	60	10	were	be	AUX
alkej-778	60	11	compared	compare	VERB
alkej-778	60	12	in	in	ADP
alkej-778	60	13	action	action	NOUN
alkej-778	60	14	.	.	PUNCT
alkej-778	61	1	while	while	SCONJ
alkej-778	61	2	examining	examine	VERB
alkej-778	61	3	the	the	DET
alkej-778	61	4	spinning	spinning	NOUN
alkej-778	61	5	beam	beam	NOUN
alkej-778	61	6	,	,	PUNCT
alkej-778	61	7	the	the	DET
alkej-778	61	8	rayleigh	rayleigh	PROPN
alkej-778	61	9	beam	beam	PROPN
alkej-778	61	10	model	model	NOUN
alkej-778	61	11	was	be	AUX
alkej-778	61	12	found	find	VERB
alkej-778	61	13	to	to	PART
alkej-778	61	14	be	be	AUX
alkej-778	61	15	more	more	ADV
alkej-778	61	16	accurate	accurate	ADJ
alkej-778	61	17	than	than	ADP
alkej-778	61	18	the	the	DET
alkej-778	61	19	euler	euler	PROPN
alkej-778	61	20	-	-	PUNCT
alkej-778	61	21	bernoulli	bernoulli	PROPN
alkej-778	61	22	beam	beam	PROPN
alkej-778	61	23	model	model	PROPN
alkej-778	61	24	.	.	PUNCT
alkej-778	62	1	tamrakar	tamrakar	NOUN
alkej-778	62	2	and	and	CCONJ
alkej-778	62	3	mittal	mittal	PROPN
alkej-778	63	1	[	[	X
alkej-778	63	2	17	17	NUM
alkej-778	63	3	]	]	PUNCT
alkej-778	63	4	used	use	VERB
alkej-778	63	5	an	an	DET
alkej-778	63	6	impact	impact	NOUN
alkej-778	63	7	hammer	hammer	NOUN
alkej-778	63	8	test	test	NOUN
alkej-778	63	9	to	to	PART
alkej-778	63	10	determine	determine	VERB
alkej-778	63	11	the	the	DET
alkej-778	63	12	system	system	NOUN
alkej-778	63	13	's	's	PART
alkej-778	63	14	fundamental	fundamental	ADJ
alkej-778	63	15	frequencies	frequency	NOUN
alkej-778	63	16	,	,	PUNCT
alkej-778	63	17	then	then	ADV
alkej-778	63	18	determined	determine	VERB
alkej-778	63	19	the	the	DET
alkej-778	63	20	speed	speed	NOUN
alkej-778	63	21	at	at	ADP
alkej-778	63	22	which	which	PRON
alkej-778	63	23	whirling	whirl	VERB
alkej-778	63	24	occurs	occur	VERB
alkej-778	63	25	in	in	ADP
alkej-778	63	26	the	the	DET
alkej-778	63	27	system	system	NOUN
alkej-778	63	28	.	.	PUNCT
alkej-778	64	1	they	they	PRON
alkej-778	64	2	used	use	VERB
alkej-778	64	3	dunkerley	dunkerley	NOUN
alkej-778	64	4	's	's	PART
alkej-778	64	5	natural	natural	ADJ
alkej-778	64	6	frequency	frequency	NOUN
alkej-778	64	7	approach	approach	NOUN
alkej-778	64	8	to	to	PART
alkej-778	64	9	verify	verify	VERB
alkej-778	64	10	the	the	DET
alkej-778	64	11	experimental	experimental	ADJ
alkej-778	64	12	results	result	NOUN
alkej-778	64	13	.	.	PUNCT
alkej-778	65	1	levy	levy	NOUN
alkej-778	65	2	[	[	X
alkej-778	65	3	18	18	NUM
alkej-778	65	4	]	]	PUNCT
alkej-778	65	5	has	have	AUX
alkej-778	65	6	created	create	VERB
alkej-778	65	7	an	an	DET
alkej-778	65	8	iterative	iterative	NOUN
alkej-778	65	9	technology	technology	NOUN
alkej-778	65	10	based	base	VERB
alkej-778	65	11	on	on	ADP
alkej-778	65	12	dunkerley	dunkerley	NOUN
alkej-778	65	13	's	's	PART
alkej-778	65	14	method	method	NOUN
alkej-778	65	15	for	for	ADP
alkej-778	65	16	delivering	deliver	VERB
alkej-778	65	17	natural	natural	ADJ
alkej-778	65	18	vibration	vibration	NOUN
alkej-778	65	19	frequencies	frequency	NOUN
alkej-778	65	20	to	to	PART
alkej-778	65	21	discrete	discrete	VERB
alkej-778	65	22	systems	system	NOUN
alkej-778	65	23	at	at	ADP
alkej-778	65	24	the	the	DET
alkej-778	65	25	same	same	ADJ
alkej-778	65	26	time	time	NOUN
alkej-778	65	27	.	.	PUNCT
alkej-778	66	1	low	low	ADJ
alkej-778	67	1	[	[	X
alkej-778	67	2	19	19	NUM
alkej-778	67	3	]	]	PUNCT
alkej-778	67	4	validated	validate	VERB
alkej-778	67	5	a	a	DET
alkej-778	67	6	dunkerley	dunkerley	NOUN
alkej-778	67	7	expression	expression	NOUN
alkej-778	67	8	referring	refer	VERB
alkej-778	67	9	to	to	ADP
alkej-778	67	10	a	a	DET
alkej-778	67	11	uniform	uniform	ADJ
alkej-778	67	12	beam	beam	NOUN
alkej-778	67	13	holding	hold	VERB
alkej-778	67	14	several	several	ADJ
alkej-778	67	15	masses	masse	NOUN
alkej-778	67	16	.	.	PUNCT
alkej-778	68	1	when	when	SCONJ
alkej-778	68	2	compared	compare	VERB
alkej-778	68	3	to	to	ADP
alkej-778	68	4	the	the	DET
alkej-778	68	5	result	result	NOUN
alkej-778	68	6	associated	associate	VERB
alkej-778	68	7	with	with	ADP
alkej-778	68	8	the	the	DET
alkej-778	68	9	original	original	ADJ
alkej-778	68	10	property	property	NOUN
alkej-778	68	11	equation	equation	NOUN
alkej-778	68	12	,	,	PUNCT
alkej-778	68	13	it	it	PRON
alkej-778	68	14	is	be	AUX
alkej-778	68	15	discovered	discover	VERB
alkej-778	68	16	that	that	SCONJ
alkej-778	68	17	dunkerley	dunkerley	NOUN
alkej-778	68	18	's	's	PART
alkej-778	68	19	expression	expression	NOUN
alkej-778	68	20	can	can	AUX
alkej-778	68	21	yield	yield	VERB
alkej-778	68	22	a	a	DET
alkej-778	68	23	good	good	ADJ
alkej-778	68	24	approximation	approximation	NOUN
alkej-778	68	25	in	in	ADP
alkej-778	68	26	general	general	NOUN
alkej-778	68	27	.	.	PUNCT
alkej-778	69	1	due	due	ADP
alkej-778	69	2	to	to	ADP
alkej-778	69	3	the	the	DET
alkej-778	69	4	impossibility	impossibility	NOUN
alkej-778	69	5	of	of	ADP
alkej-778	69	6	conserving	conserve	VERB
alkej-778	69	7	computational	computational	ADJ
alkej-778	69	8	time	time	NOUN
alkej-778	69	9	,	,	PUNCT
alkej-778	69	10	low	low	ADV
alkej-778	69	11	strongly	strongly	ADV
alkej-778	69	12	advised	advise	VERB
alkej-778	69	13	the	the	DET
alkej-778	69	14	dunkerley	dunkerley	NOUN
alkej-778	69	15	approach	approach	NOUN
alkej-778	69	16	for	for	ADP
alkej-778	69	17	beams	beam	NOUN
alkej-778	69	18	transporting	transport	VERB
alkej-778	69	19	more	more	ADJ
alkej-778	69	20	than	than	ADP
alkej-778	69	21	two	two	NUM
alkej-778	69	22	masses	masse	NOUN
alkej-778	69	23	at	at	ADP
alkej-778	69	24	separate	separate	ADJ
alkej-778	69	25	locations	location	NOUN
alkej-778	69	26	.	.	PUNCT
alkej-778	70	1	rayleigh	rayleigh	PROPN
alkej-778	70	2	and	and	CCONJ
alkej-778	70	3	dunkerley	dunkerley	NOUN
alkej-778	70	4	's	's	PART
alkej-778	70	5	approaches	approach	NOUN
alkej-778	70	6	for	for	ADP
alkej-778	70	7	analyzing	analyze	VERB
alkej-778	70	8	vibrations	vibration	NOUN
alkej-778	70	9	have	have	AUX
alkej-778	70	10	been	be	AUX
alkej-778	70	11	utilized	utilize	VERB
alkej-778	70	12	in	in	ADP
alkej-778	70	13	prior	prior	ADJ
alkej-778	70	14	studies	study	NOUN
alkej-778	70	15	,	,	PUNCT
alkej-778	70	16	but	but	CCONJ
alkej-778	70	17	without	without	ADP
alkej-778	70	18	specifying	specify	VERB
alkej-778	70	19	which	which	PRON
alkej-778	70	20	is	be	AUX
alkej-778	70	21	better	well	ADJ
alkej-778	70	22	in	in	ADP
alkej-778	70	23	the	the	DET
alkej-778	70	24	study	study	NOUN
alkej-778	70	25	or	or	CCONJ
alkej-778	70	26	expressing	express	VERB
alkej-778	70	27	a	a	DET
alkej-778	70	28	clear	clear	ADJ
alkej-778	70	29	comparison	comparison	NOUN
alkej-778	70	30	between	between	ADP
alkej-778	70	31	them	they	PRON
alkej-778	70	32	.	.	PUNCT
alkej-778	71	1	for	for	ADP
alkej-778	71	2	this	this	DET
alkej-778	71	3	reason	reason	NOUN
alkej-778	71	4	,	,	PUNCT
alkej-778	71	5	it	it	PRON
alkej-778	71	6	is	be	AUX
alkej-778	71	7	necessary	necessary	ADJ
alkej-778	71	8	to	to	PART
alkej-778	71	9	clarify	clarify	VERB
alkej-778	71	10	the	the	DET
alkej-778	71	11	two	two	NUM
alkej-778	71	12	ways	way	NOUN
alkej-778	71	13	and	and	CCONJ
alkej-778	71	14	choose	choose	VERB
alkej-778	71	15	which	which	PRON
alkej-778	71	16	is	be	AUX
alkej-778	71	17	the	the	DET
alkej-778	71	18	most	most	ADV
alkej-778	71	19	appropriate	appropriate	ADJ
alkej-778	71	20	in	in	ADP
alkej-778	71	21	mathematical	mathematical	ADJ
alkej-778	71	22	calculations	calculation	NOUN
alkej-778	71	23	for	for	ADP
alkej-778	71	24	studying	study	VERB
alkej-778	71	25	spinning	spinning	NOUN
alkej-778	71	26	machines	machine	NOUN
alkej-778	71	27	and	and	CCONJ
alkej-778	71	28	determining	determine	VERB
alkej-778	71	29	their	their	PRON
alkej-778	71	30	frequency	frequency	NOUN
alkej-778	71	31	values	value	NOUN
alkej-778	71	32	.	.	PUNCT
alkej-778	72	1	the	the	DET
alkej-778	72	2	amplitude	amplitude	NOUN
alkej-778	72	3	of	of	ADP
alkej-778	72	4	vibrations	vibration	NOUN
alkej-778	72	5	in	in	ADP
alkej-778	72	6	rotational	rotational	ADJ
alkej-778	72	7	systems	system	NOUN
alkej-778	72	8	will	will	AUX
alkej-778	72	9	be	be	AUX
alkej-778	72	10	determined	determine	VERB
alkej-778	72	11	using	use	VERB
alkej-778	72	12	the	the	DET
alkej-778	72	13	rayleigh	rayleigh	NOUN
alkej-778	72	14	and	and	CCONJ
alkej-778	72	15	dunkerley	dunkerley	NOUN
alkej-778	72	16	methods	method	NOUN
alkej-778	72	17	in	in	ADP
alkej-778	72	18	this	this	DET
alkej-778	72	19	paper	paper	NOUN
alkej-778	72	20	.	.	PUNCT
alkej-778	73	1	it	it	PRON
alkej-778	73	2	will	will	AUX
alkej-778	73	3	also	also	ADV
alkej-778	73	4	rely	rely	VERB
alkej-778	73	5	on	on	ADP
alkej-778	73	6	the	the	DET
alkej-778	73	7	multi	multi	ADJ
alkej-778	73	8	-	-	ADJ
alkej-778	73	9	node	node	ADJ
alkej-778	73	10	approach	approach	NOUN
alkej-778	73	11	to	to	PART
alkej-778	73	12	calculate	calculate	VERB
alkej-778	73	13	each	each	PRON
alkej-778	73	14	of	of	ADP
alkej-778	73	15	the	the	DET
alkej-778	73	16	dunkerley	dunkerley	NOUN
alkej-778	73	17	and	and	CCONJ
alkej-778	73	18	rayleigh	rayleigh	PROPN
alkej-778	73	19	methods	method	NOUN
alkej-778	73	20	,	,	PUNCT
alkej-778	73	21	compare	compare	VERB
alkej-778	73	22	them	they	PRON
alkej-778	73	23	to	to	ADP
alkej-778	73	24	one	one	NUM
alkej-778	73	25	another	another	DET
alkej-778	73	26	,	,	PUNCT
alkej-778	73	27	then	then	ADV
alkej-778	73	28	compare	compare	VERB
alkej-778	73	29	both	both	DET
alkej-778	73	30	ways	way	NOUN
alkej-778	73	31	to	to	ADP
alkej-778	73	32	the	the	DET
alkej-778	73	33	precise	precise	ADJ
alkej-778	73	34	method	method	NOUN
alkej-778	73	35	to	to	PART
alkej-778	73	36	determine	determine	VERB
alkej-778	73	37	which	which	PRON
alkej-778	73	38	is	be	AUX
alkej-778	73	39	more	more	ADV
alkej-778	73	40	accurate	accurate	ADJ
alkej-778	73	41	and	and	CCONJ
alkej-778	73	42	recommended	recommend	VERB
alkej-778	73	43	to	to	PART
alkej-778	73	44	utilize	utilize	VERB
alkej-778	73	45	.	.	PUNCT
alkej-778	74	1	2	2	X
alkej-778	74	2	.	.	NOUN
alkej-778	74	3	mathematical	mathematical	ADJ
alkej-778	74	4	analysis	analysis	NOUN
alkej-778	74	5	the	the	DET
alkej-778	74	6	stator	stator	NOUN
alkej-778	74	7	,	,	PUNCT
alkej-778	74	8	which	which	PRON
alkej-778	74	9	supports	support	VERB
alkej-778	74	10	the	the	DET
alkej-778	74	11	bearing	bearing	NOUN
alkej-778	74	12	,	,	PUNCT
alkej-778	74	13	is	be	AUX
alkej-778	74	14	frequently	frequently	ADV
alkej-778	74	15	assumed	assume	VERB
alkej-778	74	16	to	to	PART
alkej-778	74	17	be	be	AUX
alkej-778	74	18	stiff	stiff	ADJ
alkej-778	74	19	when	when	SCONJ
alkej-778	74	20	modeling	model	VERB
alkej-778	74	21	a	a	DET
alkej-778	74	22	karrar	karrar	NOUN
alkej-778	74	23	baher	baher	CCONJ
alkej-778	74	24	al	al	PROPN
alkej-778	74	25	-	-	PUNCT
alkej-778	74	26	khwarizmi	khwarizmi	PROPN
alkej-778	74	27	engineering	engineering	NOUN
alkej-778	74	28	journal	journal	PROPN
alkej-778	74	29	,	,	PUNCT
alkej-778	74	30	vol	vol	NOUN
alkej-778	74	31	.	.	PROPN
alkej-778	74	32	18	18	NUM
alkej-778	74	33	,	,	PUNCT
alkej-778	74	34	no	no	INTJ
alkej-778	74	35	.	.	NOUN
alkej-778	74	36	2	2	NUM
alkej-778	74	37	,	,	PUNCT
alkej-778	74	38	p.p	p.p	PROPN
alkej-778	74	39	.	.	NOUN
alkej-778	74	40	2942	2942	NUM
alkej-778	74	41	(	(	PUNCT
alkej-778	74	42	2022	2022	NUM
alkej-778	74	43	)	)	PUNCT
alkej-778	74	44	31	31	NUM
alkej-778	74	45	rotor	rotor	NOUN
alkej-778	74	46	device	device	NOUN
alkej-778	74	47	.	.	PUNCT
alkej-778	75	1	in	in	ADP
alkej-778	75	2	real	real	ADJ
alkej-778	75	3	-	-	PUNCT
alkej-778	75	4	world	world	NOUN
alkej-778	75	5	applications	application	NOUN
alkej-778	75	6	,	,	PUNCT
alkej-778	75	7	however	however	ADV
alkej-778	75	8	,	,	PUNCT
alkej-778	75	9	the	the	DET
alkej-778	75	10	rotor	rotor	NOUN
alkej-778	75	11	is	be	AUX
alkej-778	75	12	frequently	frequently	ADV
alkej-778	75	13	included	include	VERB
alkej-778	75	14	in	in	ADP
alkej-778	75	15	a	a	DET
alkej-778	75	16	more	more	ADV
alkej-778	75	17	flexible	flexible	ADJ
alkej-778	75	18	structure	structure	NOUN
alkej-778	75	19	,	,	PUNCT
alkej-778	75	20	such	such	ADJ
alkej-778	75	21	as	as	ADP
alkej-778	75	22	the	the	DET
alkej-778	75	23	framework	framework	NOUN
alkej-778	75	24	of	of	ADP
alkej-778	75	25	an	an	DET
alkej-778	75	26	aero	aero	ADJ
alkej-778	75	27	-	-	PUNCT
alkej-778	75	28	engine	engine	NOUN
alkej-778	75	29	,	,	PUNCT
alkej-778	75	30	which	which	PRON
alkej-778	75	31	adds	add	VERB
alkej-778	75	32	more	more	ADJ
alkej-778	75	33	compliance	compliance	NOUN
alkej-778	75	34	to	to	ADP
alkej-778	75	35	the	the	DET
alkej-778	75	36	system	system	NOUN
alkej-778	75	37	and	and	CCONJ
alkej-778	75	38	theoretically	theoretically	ADV
alkej-778	75	39	affects	affect	VERB
alkej-778	75	40	the	the	DET
alkej-778	75	41	influence	influence	NOUN
alkej-778	75	42	of	of	ADP
alkej-778	75	43	bearing	bear	VERB
alkej-778	75	44	nonlinearities	nonlinearitie	NOUN
alkej-778	75	45	[	[	X
alkej-778	75	46	3	3	NUM
alkej-778	75	47	]	]	PUNCT
alkej-778	75	48	.	.	PUNCT
alkej-778	76	1	2.1	2.1	NUM
alkej-778	76	2	rayleigh	rayleigh	PROPN
alkej-778	76	3	’s	’s	PART
alkej-778	76	4	method	method	NOUN
alkej-778	76	5	the	the	DET
alkej-778	76	6	rayleigh	rayleigh	PROPN
alkej-778	76	7	method	method	NOUN
alkej-778	76	8	for	for	ADP
alkej-778	76	9	estimating	estimate	VERB
alkej-778	76	10	the	the	DET
alkej-778	76	11	system	system	NOUN
alkej-778	76	12	's	's	PART
alkej-778	76	13	natural	natural	ADJ
alkej-778	76	14	frequencies	frequency	NOUN
alkej-778	76	15	will	will	AUX
alkej-778	76	16	be	be	AUX
alkej-778	76	17	presented	present	VERB
alkej-778	76	18	in	in	ADP
alkej-778	76	19	this	this	DET
alkej-778	76	20	study	study	NOUN
alkej-778	76	21	.	.	PUNCT
alkej-778	77	1	the	the	DET
alkej-778	77	2	system	system	NOUN
alkej-778	77	3	will	will	AUX
alkej-778	77	4	be	be	AUX
alkej-778	77	5	continuous	continuous	ADJ
alkej-778	77	6	,	,	PUNCT
alkej-778	77	7	and	and	CCONJ
alkej-778	77	8	you	you	PRON
alkej-778	77	9	will	will	AUX
alkej-778	77	10	be	be	AUX
alkej-778	77	11	able	able	ADJ
alkej-778	77	12	to	to	PART
alkej-778	77	13	utilize	utilize	VERB
alkej-778	77	14	this	this	DET
alkej-778	77	15	method	method	NOUN
alkej-778	77	16	to	to	PART
alkej-778	77	17	estimate	estimate	VERB
alkej-778	77	18	the	the	DET
alkej-778	77	19	fundamental	fundamental	ADJ
alkej-778	77	20	natural	natural	ADJ
alkej-778	77	21	frequency	frequency	NOUN
alkej-778	77	22	of	of	ADP
alkej-778	77	23	continuous	continuous	ADJ
alkej-778	77	24	systems	system	NOUN
alkej-778	77	25	[	[	X
alkej-778	77	26	20	20	NUM
alkej-778	77	27	]	]	PUNCT
alkej-778	77	28	.	.	PUNCT
alkej-778	78	1	it	it	PRON
alkej-778	78	2	is	be	AUX
alkej-778	78	3	critical	critical	ADJ
alkej-778	78	4	to	to	PART
alkej-778	78	5	conduct	conduct	VERB
alkej-778	78	6	a	a	DET
alkej-778	78	7	modal	modal	ADJ
alkej-778	78	8	analysis	analysis	NOUN
alkej-778	78	9	of	of	ADP
alkej-778	78	10	the	the	DET
alkej-778	78	11	rotors	rotor	NOUN
alkej-778	78	12	to	to	PART
alkej-778	78	13	avoid	avoid	VERB
alkej-778	78	14	resonance	resonance	NOUN
alkej-778	78	15	during	during	ADP
alkej-778	78	16	operation	operation	NOUN
alkej-778	78	17	.	.	PUNCT
alkej-778	79	1	a	a	DET
alkej-778	79	2	dynamic	dynamic	ADJ
alkej-778	79	3	study	study	NOUN
alkej-778	79	4	of	of	ADP
alkej-778	79	5	the	the	DET
alkej-778	79	6	rotating	rotate	VERB
alkej-778	79	7	-	-	PUNCT
alkej-778	79	8	shaft	shaft	NOUN
alkej-778	79	9	system	system	NOUN
alkej-778	79	10	under	under	ADP
alkej-778	79	11	operating	operating	NOUN
alkej-778	79	12	conditions	condition	NOUN
alkej-778	79	13	is	be	AUX
alkej-778	79	14	also	also	ADV
alkej-778	79	15	necessary	necessary	ADJ
alkej-778	79	16	to	to	PART
alkej-778	79	17	assess	assess	VERB
alkej-778	79	18	the	the	DET
alkej-778	79	19	dynamic	dynamic	ADJ
alkej-778	79	20	properties	property	NOUN
alkej-778	79	21	of	of	ADP
alkej-778	79	22	the	the	DET
alkej-778	79	23	rotating	rotate	VERB
alkej-778	79	24	system	system	NOUN
alkej-778	79	25	.	.	PUNCT
alkej-778	80	1	by	by	ADP
alkej-778	80	2	seeing	see	VERB
alkej-778	80	3	the	the	DET
alkej-778	80	4	shaft	shaft	NOUN
alkej-778	80	5	as	as	ADP
alkej-778	80	6	a	a	DET
alkej-778	80	7	spinning	spin	VERB
alkej-778	80	8	beam	beam	NOUN
alkej-778	80	9	model	model	NOUN
alkej-778	80	10	,	,	PUNCT
alkej-778	80	11	the	the	DET
alkej-778	80	12	system	system	NOUN
alkej-778	80	13	was	be	AUX
alkej-778	80	14	mathematically	mathematically	ADV
alkej-778	80	15	modeled	model	VERB
alkej-778	80	16	[	[	X
alkej-778	80	17	21	21	NUM
alkej-778	80	18	,	,	PUNCT
alkej-778	80	19	22	22	NUM
alkej-778	80	20	]	]	PUNCT
alkej-778	80	21	.	.	PUNCT
alkej-778	81	1	fig	fig	NOUN
alkej-778	81	2	.	.	PUNCT
alkej-778	82	1	1	1	X
alkej-778	82	2	.	.	X
alkej-778	82	3	simply	simply	ADV
alkej-778	82	4	supported	support	VERB
alkej-778	82	5	beam	beam	NOUN
alkej-778	82	6	with	with	ADP
alkej-778	82	7	finite	finite	PROPN
alkej-778	82	8	nodes	node	NOUN
alkej-778	82	9	the	the	DET
alkej-778	82	10	uniform	uniform	ADJ
alkej-778	82	11	beam	beam	NOUN
alkej-778	82	12	for	for	ADP
alkej-778	82	13	the	the	DET
alkej-778	82	14	number	number	NOUN
alkej-778	82	15	of	of	ADP
alkej-778	82	16	nodes	node	NOUN
alkej-778	82	17	is	be	AUX
alkej-778	82	18	shown	show	VERB
alkej-778	82	19	in	in	ADP
alkej-778	82	20	figure	figure	NOUN
alkej-778	82	21	1	1	NUM
alkej-778	82	22	,	,	PUNCT
alkej-778	82	23	and	and	CCONJ
alkej-778	82	24	the	the	DET
alkej-778	82	25	masses	masse	NOUN
alkej-778	82	26	for	for	ADP
alkej-778	82	27	the	the	DET
alkej-778	82	28	nodes	node	NOUN
alkej-778	82	29	are	be	AUX
alkej-778	82	30	computed	compute	VERB
alkej-778	82	31	using	use	VERB
alkej-778	82	32	the	the	DET
alkej-778	82	33	following	follow	VERB
alkej-778	82	34	equations	equation	NOUN
alkej-778	83	1	[	[	X
alkej-778	83	2	23	23	NUM
alkej-778	83	3	]	]	X
alkej-778	83	4	:	:	PUNCT
alkej-778	83	5	�	�	PROPN
alkej-778	83	6	�	�	PROPN
alkej-778	83	7	�	�	PROPN
alkej-778	83	8	�	�	PROPN
alkej-778	83	9	�	�	PROPN
alkej-778	83	10	�	�	PROPN
alkej-778	83	11	/2	/2	PROPN
alkej-778	83	12	�	�	PROPN
alkej-778	83	13	�	�	PROPN
alkej-778	83	14	�	�	PROPN
alkej-778	83	15	�	�	PROPN
alkej-778	83	16	�	�	PROPN
alkej-778	83	17	�	�	PROPN
alkej-778	83	18	2	2	NUM
alkej-778	83	19	…	…	SYM
alkej-778	83	20	1	1	NUM
alkej-778	83	21	�	�	PROPN
alkej-778	83	22	�	�	PROPN
alkej-778	83	23	�	�	PROPN
alkej-778	83	24	�	�	PROPN
alkej-778	83	25	�	�	PROPN
alkej-778	83	26	�	�	PROPN
alkej-778	83	27	�	�	PROPN
alkej-778	83	28	2	2	NUM
alkej-778	83	29	�	�	PROPN
alkej-778	83	30	�	�	PROPN
alkej-778	83	31	�	�	PROPN
alkej-778	83	32	�	�	PROPN
alkej-778	83	33	�	�	PROPN
alkej-778	83	34	�	�	PROPN
alkej-778	83	35	�	�	PROPN
alkej-778	83	36	�	�	NOUN
alkej-778	83	37	2	2	NUM
alkej-778	83	38	…	…	SYM
alkej-778	83	39	2	2	NUM
alkej-778	83	40	�	�	NOUN
alkej-778	83	41	where	where	SCONJ
alkej-778	83	42	�	�	PROPN
alkej-778	83	43	�	�	PROPN
alkej-778	83	44	1	1	NUM
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alkej-778	83	46	2	2	NUM
alkej-778	83	47	,	,	PUNCT
alkej-778	83	48	3	3	NUM
alkej-778	83	49	,	,	PUNCT
alkej-778	83	50	.	.	PUNCT
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alkej-778	83	52	.	.	PUNCT
alkej-778	84	1	,	,	PUNCT
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alkej-778	84	3	�	�	PROPN
alkej-778	84	4	�	�	PROPN
alkej-778	84	5	�	�	PROPN
alkej-778	84	6	�	�	PROPN
alkej-778	84	7	�	�	PROPN
alkej-778	84	8	�	�	PROPN
alkej-778	84	9	�	�	PROPN
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alkej-778	84	11	�	�	PROPN
alkej-778	84	12	2	2	NUM
alkej-778	84	13	…	…	SYM
alkej-778	84	14	3	3	NUM
alkej-778	84	15	�	�	NOUN
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alkej-778	84	17	moment	moment	NOUN
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alkej-778	84	28	�	�	PROPN
alkej-778	84	29	�	�	PROPN
alkej-778	84	30	�	�	PROPN
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alkej-778	84	34	…	…	PUNCT
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alkej-778	84	36	�	�	NOUN
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alkej-778	84	53	behavior	behavior	NOUN
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alkej-778	85	4	motion	motion	NOUN
alkej-778	85	5	for	for	ADP
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alkej-778	85	7	mode	mode	NOUN
alkej-778	85	8	vibration	vibration	NOUN
alkej-778	85	9	in	in	ADP
alkej-778	85	10	terms	term	NOUN
alkej-778	85	11	of	of	ADP
alkej-778	85	12	stiffness	stiffness	NOUN
alkej-778	85	13	k	k	PROPN
alkej-778	86	1	[	[	X
alkej-778	86	2	23	23	NUM
alkej-778	86	3	]	]	X
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alkej-778	86	5	!	!	PUNCT
alkej-778	87	1	"	"	PUNCT
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alkej-778	87	6	�	�	PROPN
alkej-778	87	7	$	$	SYM
alkej-778	87	8	'	'	NUM
alkej-778	87	9	&	&	CCONJ
alkej-778	87	10	�	�	PROPN
alkej-778	87	11	(	(	PUNCT
alkej-778	87	12	)	)	PUNCT
alkej-778	87	13	*	*	PUNCT
alkej-778	87	14	�	�	PROPN
alkej-778	87	15	0	0	NUM
alkej-778	87	16	…	…	SYM
alkej-778	87	17	5	5	NUM
alkej-778	87	18	�	�	NOUN
alkej-778	87	19	in	in	ADP
alkej-778	87	20	the	the	DET
alkej-778	87	21	stiffness	stiffness	ADJ
alkej-778	87	22	conception	conception	NOUN
alkej-778	87	23	,	,	PUNCT
alkej-778	87	24	the	the	DET
alkej-778	87	25	force	force	NOUN
alkej-778	87	26	is	be	AUX
alkej-778	87	27	expressed	express	VERB
alkej-778	87	28	as	as	ADP
alkej-778	87	29	a	a	DET
alkej-778	87	30	displacement	displacement	NOUN
alkej-778	87	31	:	:	PUNCT
alkej-778	87	32	(	(	PUNCT
alkej-778	87	33	-	-	PUNCT
alkej-778	87	34	*	*	VERB
alkej-778	87	35	�	�	PROPN
alkej-778	87	36	$	$	SYM
alkej-778	87	37	'	'	NUM
alkej-778	87	38	&	&	CCONJ
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alkej-778	87	40	)	)	PUNCT
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alkej-778	87	42	…	…	PUNCT
alkej-778	87	43	6	6	NUM
alkej-778	87	44	�	�	NOUN
alkej-778	87	45	stiffness	stiffness	NOUN
alkej-778	87	46	is	be	AUX
alkej-778	87	47	the	the	DET
alkej-778	87	48	polar	polar	ADJ
alkej-778	87	49	opposite	opposite	NOUN
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alkej-778	87	51	flexibility	flexibility	NOUN
alkej-778	87	52	.	.	PUNCT
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alkej-778	88	2	displacement	displacement	NOUN
alkej-778	88	3	is	be	AUX
alkej-778	88	4	given	give	VERB
alkej-778	88	5	in	in	ADP
alkej-778	88	6	units	unit	NOUN
alkej-778	88	7	of	of	ADP
alkej-778	88	8	force	force	NOUN
alkej-778	88	9	in	in	ADP
alkej-778	88	10	this	this	DET
alkej-778	88	11	case	case	NOUN
alkej-778	88	12	:	:	PUNCT
alkej-778	88	13	(	(	PUNCT
alkej-778	88	14	)	)	PUNCT
alkej-778	88	15	*	*	PUNCT
alkej-778	88	16	�	�	PROPN
alkej-778	88	17	$	$	SYM
alkej-778	88	18	'	'	NUM
alkej-778	88	19	&	&	CCONJ
alkej-778	88	20	.	.	PUNCT
alkej-778	88	21	�	�	PROPN
alkej-778	89	1	(-	(-	NOUN
alkej-778	89	2	*	*	PUNCT
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alkej-778	89	4	7	7	NUM
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alkej-778	89	6	(	(	PUNCT
alkej-778	89	7	)	)	PUNCT
alkej-778	89	8	*	*	PUNCT
alkej-778	89	9	�	�	PROPN
alkej-778	89	10	$	$	SYM
alkej-778	89	11	0&(-	0&(-	NUM
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alkej-778	89	13	…	…	PUNCT
alkej-778	89	14	8	8	NUM
alkej-778	89	15	�	�	NOUN
alkej-778	89	16	the	the	DET
alkej-778	89	17	0	0	NUM
alkej-778	89	18	�	�	PROPN
alkej-778	89	19	,2	,2	NOUN
alkej-778	89	20	coefficients	coefficient	NOUN
alkej-778	89	21	of	of	ADP
alkej-778	89	22	the	the	DET
alkej-778	89	23	flexibility	flexibility	NOUN
alkej-778	89	24	matrix	matrix	NOUN
alkej-778	89	25	are	be	AUX
alkej-778	89	26	3)	3)	NUM
alkej-778	89	27	�	�	NOUN
alkej-778	89	28	)#⋮)5	)#⋮)5	PROPN
alkej-778	89	29	6	6	NUM
alkej-778	89	30	�	�	PROPN
alkej-778	89	31	70	70	NUM
alkej-778	89	32	�	�	PROPN
alkej-778	89	33	�	�	PROPN
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alkej-778	89	35	�	�	PROPN
alkej-778	89	36	#	#	NOUN
alkej-778	89	37	⋯	⋯	PROPN
alkej-778	89	38	0	0	NUM
alkej-778	89	39	�	�	NOUN
alkej-778	89	40	50	50	NUM
alkej-778	89	41	#	#	NUM
alkej-778	89	42	�	�	NOUN
alkej-778	89	43	0	0	NUM
alkej-778	89	44	#	#	SYM
alkej-778	90	1	#	#	NOUN
alkej-778	90	2	⋯	⋯	NOUN
alkej-778	90	3	0#5⋮	0#5⋮	NUM
alkej-778	90	4	⋮05	⋮05	PROPN
alkej-778	90	5	�	�	PROPN
alkej-778	90	6	05	05	NUM
alkej-778	90	7	#	#	NOUN
alkej-778	90	8	⋯	⋯	NOUN
alkej-778	90	9	055	055	NUM
alkej-778	90	10	9	9	NUM
alkej-778	90	11	3:	3:	NOUN
alkej-778	90	12	�	�	NOUN
alkej-778	90	13	:#⋮:5	:#⋮:5	PUNCT
alkej-778	90	14	6	6	NUM
alkej-778	90	15	…	…	SYM
alkej-778	90	16	9	9	NUM
alkej-778	90	17	�	�	NOUN
alkej-778	90	18	the	the	DET
alkej-778	90	19	flexibility	flexibility	NOUN
alkej-778	90	20	influence	influence	NOUN
alkej-778	90	21	coefficient	coefficient	NOUN
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alkej-778	90	24	,2	,2	PUNCT
alkej-778	90	25	�	�	PROPN
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alkej-778	90	27	the	the	DET
alkej-778	90	28	bending	bending	NOUN
alkej-778	90	29	at	at	ADP
alkej-778	90	30	i	i	PRON
alkej-778	90	31	due	due	ADP
alkej-778	90	32	to	to	ADP
alkej-778	90	33	a	a	DET
alkej-778	90	34	unit	unit	NOUN
alkej-778	90	35	load	load	NOUN
alkej-778	90	36	exerted	exert	VERB
alkej-778	90	37	at	at	ADP
alkej-778	90	38	j	j	PROPN
alkej-778	90	39	with	with	ADP
alkej-778	90	40	all	all	DET
alkej-778	90	41	other	other	ADJ
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alkej-778	90	43	equal	equal	ADJ
alkej-778	90	44	to	to	ADP
alkej-778	90	45	zero	zero	NUM
alkej-778	90	46	.	.	PUNCT
alkej-778	91	1	deflections	deflection	NOUN
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alkej-778	91	6	�	�	PROPN
alkej-778	91	7	1	1	NUM
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alkej-778	91	12	:	:	PUNCT
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alkej-778	91	20	preceding	precede	VERB
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alkej-778	92	2	the	the	DET
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alkej-778	92	4	column	column	NOUN
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alkej-778	92	6	you	you	PRON
alkej-778	92	7	'll	will	AUX
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alkej-778	92	12	#	#	NOUN
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alkej-778	92	14	1	1	NUM
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alkej-778	92	18	�	�	PROPN
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alkej-778	92	23	,	,	PUNCT
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alkej-778	92	26	on	on	ADP
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alkej-778	92	28	23	23	NUM
alkej-778	92	29	]	]	PUNCT
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alkej-778	93	6	by	by	ADP
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alkej-778	93	8	'	'	NUM
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alkej-778	93	26	in	in	ADP
alkej-778	93	27	terms	term	NOUN
alkej-778	93	28	of	of	ADP
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alkej-778	94	4	0&$%	0&$%	NUM
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alkej-778	94	7	$	$	SYM
alkej-778	94	8	�	�	PROPN
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alkej-778	94	10	�	�	PROPN
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alkej-778	94	17	10	10	NUM
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alkej-778	94	22	)	)	PUNCT
alkej-778	94	23	*	*	PUNCT
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alkej-778	94	25	deflection	deflection	NOUN
alkej-778	94	26	vector	vector	NOUN
alkej-778	94	27	matrix	matrix	NOUN
alkej-778	94	28	$	$	SYM
alkej-778	94	29	�	�	PROPN
alkej-778	94	30	&	&	CCONJ
alkej-778	94	31	is	be	AUX
alkej-778	94	32	mass	mass	ADJ
alkej-778	94	33	matrix	matrix	NOUN
alkej-778	94	34	$	$	SYM
alkej-778	94	35	0	0	NUM
alkej-778	94	36	&	&	CCONJ
alkej-778	94	37	influence	influence	NOUN
alkej-778	94	38	coefficient	coefficient	NOUN
alkej-778	94	39	matrix	matrix	NOUN
alkej-778	94	40	equal	equal	ADJ
alkej-778	94	41	$	$	SYM
alkej-778	94	42	=	=	PROPN
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alkej-778	94	44	.	.	PUNCT
alkej-778	94	45	�	�	PROPN
alkej-778	95	1	$	$	SYM
alkej-778	95	2	=	=	PROPN
alkej-778	95	3	&	&	CCONJ
alkej-778	95	4	is	be	AUX
alkej-778	95	5	stiffness	stiffness	ADJ
alkej-778	95	6	matrix	matrix	NOUN
alkej-778	95	7	$	$	SYM
alkej-778	95	8	�	�	PROPN
alkej-778	95	9	&	&	CCONJ
alkej-778	95	10	is	be	AUX
alkej-778	95	11	unit	unit	NOUN
alkej-778	95	12	matrix	matrix	NOUN
alkej-778	95	13	,	,	PUNCT
alkej-778	95	14	'	'	PUNCT
alkej-778	95	15	.	.	PUNCT
alkej-778	96	1	�	�	PROPN
alkej-778	96	2	∗	∗	PROPN
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alkej-778	97	1	1	1	NUM
alkej-778	97	2	"	"	PUNCT
alkej-778	97	3	#	#	NOUN
alkej-778	97	4	$	$	SYM
alkej-778	97	5	�	�	PROPN
alkej-778	97	6	&	&	CCONJ
alkej-778	97	7	�	�	PROPN
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alkej-778	97	21	system	system	NOUN
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alkej-778	97	26	matrix	matrix	NOUN
alkej-778	97	27	,	,	PUNCT
alkej-778	97	28	eq	eq	NOUN
alkej-778	97	29	.	.	NOUN
alkej-778	97	30	11	11	NUM
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alkej-778	97	32	.	.	PUNCT
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alkej-778	98	2	baher	baher	ADP
alkej-778	98	3	al	al	PROPN
alkej-778	98	4	-	-	PUNCT
alkej-778	98	5	khwarizmi	khwarizmi	PROPN
alkej-778	98	6	engineering	engineering	NOUN
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alkej-778	98	8	,	,	PUNCT
alkej-778	98	9	vol	vol	NOUN
alkej-778	98	10	.	.	PROPN
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alkej-778	98	13	no	no	INTJ
alkej-778	98	14	.	.	NOUN
alkej-778	98	15	2	2	NUM
alkej-778	98	16	,	,	PUNCT
alkej-778	98	17	p.p	p.p	PROPN
alkej-778	98	18	.	.	NOUN
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alkej-778	116	12	∑%	∑%	NOUN
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alkej-778	116	14	)	)	PUNCT
alkej-778	116	15	�	�	PROPN
alkej-778	116	16	#	#	NOUN
alkej-778	116	17	…	…	NUM
alkej-778	116	18	20	20	NUM
alkej-778	116	19	�	�	PROPN
alkej-778	116	20	2.2	2.2	NUM
alkej-778	116	21	dunkerley	dunkerley	NOUN
alkej-778	116	22	’s	’s	PART
alkej-778	116	23	method	method	PROPN
alkej-778	116	24	dunkerley	dunkerley	NOUN
alkej-778	116	25	's	's	PART
alkej-778	116	26	method	method	NOUN
alkej-778	116	27	uses	use	VERB
alkej-778	116	28	the	the	DET
alkej-778	116	29	natural	natural	ADJ
alkej-778	116	30	frequencies	frequency	NOUN
alkej-778	116	31	of	of	ADP
alkej-778	116	32	the	the	DET
alkej-778	116	33	constituent	constituent	ADJ
alkej-778	116	34	elements	element	NOUN
alkej-778	116	35	to	to	PART
alkej-778	116	36	derive	derive	VERB
alkej-778	116	37	the	the	DET
alkej-778	116	38	fundamental	fundamental	ADJ
alkej-778	116	39	frequency	frequency	NOUN
alkej-778	116	40	of	of	ADP
alkej-778	116	41	composite	composite	ADJ
alkej-778	116	42	construction	construction	NOUN
alkej-778	116	43	.	.	PUNCT
alkej-778	117	1	it	it	PRON
alkej-778	117	2	is	be	AUX
alkej-778	117	3	acquired	acquire	VERB
alkej-778	117	4	by	by	ADP
alkej-778	117	5	leveraging	leverage	VERB
alkej-778	117	6	the	the	DET
alkej-778	117	7	fact	fact	NOUN
alkej-778	117	8	that	that	SCONJ
alkej-778	117	9	the	the	DET
alkej-778	117	10	higher	high	ADJ
alkej-778	117	11	natural	natural	ADJ
alkej-778	117	12	frequency	frequency	NOUN
alkej-778	117	13	bands	band	NOUN
alkej-778	117	14	of	of	ADP
alkej-778	117	15	practically	practically	ADV
alkej-778	117	16	all	all	DET
alkej-778	117	17	vibrating	vibrating	NOUN
alkej-778	117	18	systems	system	NOUN
alkej-778	117	19	are	be	AUX
alkej-778	117	20	large	large	ADJ
alkej-778	117	21	in	in	ADP
alkej-778	117	22	comparison	comparison	NOUN
alkej-778	117	23	to	to	ADP
alkej-778	117	24	their	their	PRON
alkej-778	117	25	fundamental	fundamental	ADJ
alkej-778	117	26	frequencies	frequency	NOUN
alkej-778	117	27	.	.	PUNCT
alkej-778	118	1	the	the	DET
alkej-778	118	2	frequency	frequency	NOUN
alkej-778	118	3	equation	equation	NOUN
alkej-778	118	4	can	can	AUX
alkej-778	118	5	be	be	AUX
alkej-778	118	6	used	use	VERB
alkej-778	118	7	to	to	PART
alkej-778	118	8	determine	determine	VERB
alkej-778	118	9	eigenvalues	eigenvalue	NOUN
alkej-778	118	10	for	for	ADP
alkej-778	118	11	a	a	DET
alkej-778	118	12	large	large	ADJ
alkej-778	118	13	system	system	NOUN
alkej-778	118	14	of	of	ADP
alkej-778	118	15	degrees	degree	NOUN
alkej-778	118	16	of	of	ADP
alkej-778	118	17	freedom	freedom	NOUN
alkej-778	118	18	[	[	X
alkej-778	118	19	20	20	NUM
alkej-778	118	20	]	]	PUNCT
alkej-778	118	21	:	:	PUNCT
alkej-778	118	22	the	the	DET
alkej-778	118	23	simplification	simplification	NOUN
alkej-778	118	24	procedures	procedure	NOUN
alkej-778	118	25	are	be	AUX
alkej-778	118	26	done	do	VERB
alkej-778	118	27	on	on	ADP
alkej-778	118	28	equation	equation	NOUN
alkej-778	118	29	12	12	NUM
alkej-778	118	30	,	,	PUNCT
alkej-778	118	31	and	and	CCONJ
alkej-778	118	32	then	then	ADV
alkej-778	118	33	the	the	DET
alkej-778	118	34	formula	formula	NOUN
alkej-778	118	35	is	be	AUX
alkej-778	118	36	expanded	expand	VERB
alkej-778	118	37	to	to	PART
alkej-778	118	38	get	get	VERB
alkej-778	118	39	the	the	DET
alkej-778	118	40	following	follow	VERB
alkej-778	118	41	formula	formula	NOUN
alkej-778	118	42	:	:	PUNCT
alkej-778	118	43	1	1	NUM
alkej-778	118	44	"	"	PUNCT
alkej-778	118	45	�	�	PROPN
alkej-778	118	46	#	#	NOUN
alkej-778	118	47	�	�	NOUN
alkej-778	118	48	1	1	NUM
alkej-778	118	49	"	"	PUNCT
alkej-778	118	50	#	#	SYM
alkej-778	118	51	#	#	NOUN
alkej-778	118	52	�	�	NOUN
alkej-778	118	53	.	.	PUNCT
alkej-778	118	54	.	.	PUNCT
alkej-778	118	55	.	.	PUNCT
alkej-778	119	1	�	�	PROPN
alkej-778	119	2	1"5	1"5	NUM
alkej-778	119	3	#	#	PROPN
alkej-778	119	4	�	�	PROPN
alkej-778	119	5	0	0	NUM
alkej-778	119	6	�	�	PROPN
alkej-778	119	7	�	�	PROPN
alkej-778	119	8	�	�	PROPN
alkej-778	119	9	�	�	PROPN
alkej-778	119	10	�	�	PROPN
alkej-778	119	11	0	0	NUM
alkej-778	119	12	#	#	SYM
alkej-778	119	13	#	#	SYM
alkej-778	119	14	�	�	NOUN
alkej-778	119	15	#	#	NOUN
alkej-778	119	16	�	�	NOUN
alkej-778	119	17	.	.	PUNCT
alkej-778	119	18	.	.	PUNCT
alkej-778	119	19	.	.	PUNCT
alkej-778	120	1	�	�	PROPN
alkej-778	120	2	055	055	NUM
alkej-778	120	3	�	�	PROPN
alkej-778	120	4	5	5	NUM
alkej-778	120	5	…	…	SYM
alkej-778	120	6	21	21	NUM
alkej-778	120	7	�	�	PROPN
alkej-778	120	8	because	because	SCONJ
alkej-778	120	9	the	the	DET
alkej-778	120	10	intermediate	intermediate	ADJ
alkej-778	120	11	frequencies	frequency	NOUN
alkej-778	120	12	"	"	PUNCT
alkej-778	120	13	#	#	ADP
alkej-778	120	14	,	,	PUNCT
alkej-778	120	15	"	"	PUNCT
alkej-778	120	16	<	<	X
alkej-778	120	17	,	,	PUNCT
alkej-778	120	18	…	…	PUNCT
alkej-778	120	19	,	,	PUNCT
alkej-778	120	20	"	"	PUNCT
alkej-778	120	21	5	5	NUM
alkej-778	120	22	are	be	AUX
alkej-778	120	23	often	often	ADV
alkej-778	120	24	significantly	significantly	ADV
alkej-778	120	25	larger	large	ADJ
alkej-778	120	26	than	than	ADP
alkej-778	120	27	the	the	DET
alkej-778	120	28	fundamental	fundamental	ADJ
alkej-778	120	29	frequency	frequency	NOUN
alkej-778	120	30	"	"	PUNCT
alkej-778	120	31	�	�	PROPN
alkej-778	120	32	,	,	PUNCT
alkej-778	120	33	and	and	CCONJ
alkej-778	120	34	therefore	therefore	ADV
alkej-778	120	35	karrar	karrar	NOUN
alkej-778	120	36	baher	baher	CCONJ
alkej-778	120	37	al	al	PROPN
alkej-778	120	38	-	-	PUNCT
alkej-778	120	39	khwarizmi	khwarizmi	PROPN
alkej-778	120	40	engineering	engineering	NOUN
alkej-778	120	41	journal	journal	PROPN
alkej-778	120	42	,	,	PUNCT
alkej-778	120	43	vol	vol	NOUN
alkej-778	120	44	.	.	PROPN
alkej-778	120	45	18	18	NUM
alkej-778	120	46	,	,	PUNCT
alkej-778	120	47	no	no	INTJ
alkej-778	120	48	.	.	NOUN
alkej-778	120	49	2	2	NUM
alkej-778	120	50	,	,	PUNCT
alkej-778	120	51	p.p	p.p	PROPN
alkej-778	120	52	.	.	NOUN
alkej-778	120	53	2942	2942	NUM
alkej-778	120	54	(	(	PUNCT
alkej-778	120	55	2022	2022	NUM
alkej-778	120	56	)	)	PUNCT
alkej-778	120	57	33	33	NUM
alkej-778	120	58	1	1	NUM
alkej-778	120	59	"	"	PUNCT
alkej-778	120	60	�	�	NOUN
alkej-778	120	61	#	#	NOUN
alkej-778	120	62	≪	≪	ADJ
alkej-778	120	63	1	1	NUM
alkej-778	120	64	"	"	PUNCT
alkej-778	120	65	�	�	PROPN
alkej-778	120	66	#	#	NOUN
alkej-778	120	67	�	�	PROPN
alkej-778	120	68	�	�	PROPN
alkej-778	120	69	2,3	2,3	NUM
alkej-778	120	70	,	,	PUNCT
alkej-778	120	71	.	.	PUNCT
alkej-778	120	72	.	.	PUNCT
alkej-778	121	1	.	.	PUNCT
alkej-778	122	1	,	,	PUNCT
alkej-778	122	2	�	�	PROPN
alkej-778	122	3	1	1	NUM
alkej-778	122	4	"	"	PUNCT
alkej-778	122	5	�	�	PROPN
alkej-778	122	6	#	#	NOUN
alkej-778	122	7	≈	≈	PROPN
alkej-778	122	8	0	0	NUM
alkej-778	122	9	�	�	PROPN
alkej-778	122	10	�	�	PROPN
alkej-778	122	11	�	�	PROPN
alkej-778	122	12	�	�	PROPN
alkej-778	122	13	�	�	PROPN
alkej-778	122	14	0	0	NUM
alkej-778	122	15	#	#	SYM
alkej-778	122	16	#	#	SYM
alkej-778	122	17	�	�	NOUN
alkej-778	122	18	#	#	NOUN
alkej-778	122	19	�	�	NOUN
alkej-778	122	20	.	.	PUNCT
alkej-778	122	21	.	.	PUNCT
alkej-778	122	22	.	.	PUNCT
alkej-778	123	1	�	�	PROPN
alkej-778	123	2	055	055	NUM
alkej-778	123	3	�	�	PROPN
alkej-778	123	4	5	5	NUM
alkej-778	123	5	…	…	SYM
alkej-778	123	6	22	22	NUM
alkej-778	123	7	�	�	PROPN
alkej-778	123	8	this	this	DET
alkej-778	123	9	equation	equation	NOUN
alkej-778	123	10	is	be	AUX
alkej-778	123	11	referred	refer	VERB
alkej-778	123	12	to	to	ADP
alkej-778	123	13	as	as	ADP
alkej-778	123	14	dunkerley	dunkerley	NOUN
alkej-778	123	15	's	's	PART
alkej-778	123	16	formula	formula	NOUN
alkej-778	123	17	.	.	PUNCT
alkej-778	124	1	eq	eq	ADP
alkej-778	124	2	.	.	PROPN
alkej-778	124	3	22	22	NUM
alkej-778	124	4	produces	produce	VERB
alkej-778	124	5	a	a	DET
alkej-778	124	6	fundamental	fundamental	ADJ
alkej-778	124	7	frequency	frequency	NOUN
alkej-778	124	8	that	that	PRON
alkej-778	124	9	is	be	AUX
alkej-778	124	10	never	never	ADV
alkej-778	124	11	exactly	exactly	ADV
alkej-778	124	12	the	the	DET
alkej-778	124	13	same	same	ADJ
alkej-778	124	14	as	as	ADP
alkej-778	124	15	the	the	DET
alkej-778	124	16	exact	exact	ADJ
alkej-778	124	17	number	number	NOUN
alkej-778	124	18	.	.	PUNCT
alkej-778	125	1	in	in	ADP
alkej-778	125	2	some	some	DET
alkej-778	125	3	cases	case	NOUN
alkej-778	125	4	,	,	PUNCT
alkej-778	125	5	it	it	PRON
alkej-778	125	6	would	would	AUX
alkej-778	125	7	be	be	AUX
alkej-778	125	8	easier	easy	ADJ
alkej-778	125	9	to	to	PART
alkej-778	125	10	rewrite	rewrite	VERB
alkej-778	125	11	eq	eq	ADP
alkej-778	125	12	.	.	PROPN
alkej-778	125	13	22	22	NUM
alkej-778	125	14	as	as	ADP
alkej-778	125	15	:	:	PUNCT
alkej-778	125	16	1	1	NUM
alkej-778	125	17	"	"	PUNCT
alkej-778	125	18	�	�	PROPN
alkej-778	125	19	#	#	NOUN
alkej-778	125	20	≈	≈	PROPN
alkej-778	125	21	1"	1"	NOUN
alkej-778	125	22	�	�	NOUN
alkej-778	125	23	5	5	NUM
alkej-778	125	24	#	#	NOUN
alkej-778	125	25	�	�	NOUN
alkej-778	125	26	1"#5	1"#5	PROPN
alkej-778	125	27	#	#	PROPN
alkej-778	125	28	�	�	NOUN
alkej-778	125	29	.	.	PUNCT
alkej-778	125	30	.	.	PUNCT
alkej-778	125	31	.	.	PUNCT
alkej-778	126	1	�	�	PROPN
alkej-778	126	2	1"55	1"55	NUM
alkej-778	126	3	#	#	NOUN
alkej-778	126	4	…	…	NUM
alkej-778	126	5	23	23	NUM
alkej-778	126	6	�	�	NOUN
alkej-778	126	7	where	where	SCONJ
alkej-778	126	8	"	"	PUNCT
alkej-778	126	9	�	�	PROPN
alkej-778	126	10	5	5	NUM
alkej-778	126	11	�	�	NOUN
alkej-778	126	12	1	1	NUM
alkej-778	126	13	∕	∕	PROPN
alkej-778	126	14	0	0	NUM
alkej-778	126	15	�	�	PROPN
alkej-778	126	16	�	�	PROPN
alkej-778	126	17	�	�	PROPN
alkej-778	126	18	�	�	PROPN
alkej-778	126	19	�	�	PROPN
alkej-778	126	20	�	�	PROPN
alkej-778	126	21	/	/	SYM
alkej-778	126	22	#	#	NOUN
alkej-778	126	23	�	�	PROPN
alkej-778	126	24	=	=	SYM
alkej-778	126	25	�	�	PROPN
alkej-778	126	26	�	�	PROPN
alkej-778	126	27	∕	∕	PROPN
alkej-778	126	28	�	�	PROPN
alkej-778	126	29	�	�	PROPN
alkej-778	126	30	�	�	PROPN
alkej-778	126	31	�	�	PROPN
alkej-778	126	32	/	/	SYM
alkej-778	126	33	#	#	NOUN
alkej-778	126	34	is	be	AUX
alkej-778	126	35	the	the	DET
alkej-778	126	36	natural	natural	ADJ
alkej-778	126	37	frequency	frequency	NOUN
alkej-778	126	38	of	of	ADP
alkej-778	126	39	a	a	DET
alkej-778	126	40	singledegree	singledegree	NOUN
alkej-778	126	41	-	-	PUNCT
alkej-778	126	42	of	of	ADP
alkej-778	126	43	-	-	PUNCT
alkej-778	126	44	freedom	freedom	NOUN
alkej-778	126	45	system	system	NOUN
alkej-778	126	46	with	with	ADP
alkej-778	126	47	mass	mass	PROPN
alkej-778	126	48	�	�	PROPN
alkej-778	126	49	�	�	PROPN
alkej-778	126	50	and	and	CCONJ
alkej-778	126	51	a	a	DET
alkej-778	126	52	stiffness	stiffness	ADJ
alkej-778	126	53	spring	spring	NOUN
alkej-778	126	54	=	=	SYM
alkej-778	126	55	�	�	PROPN
alkej-778	126	56	�	�	PROPN
alkej-778	126	57	,	,	PUNCT
alkej-778	126	58	�	�	PROPN
alkej-778	126	59	=	=	SYM
alkej-778	126	60	1	1	NUM
alkej-778	126	61	,	,	PUNCT
alkej-778	126	62	2	2	NUM
alkej-778	126	63	,	,	PUNCT
alkej-778	126	64	…	…	PUNCT
alkej-778	126	65	,	,	PUNCT
alkej-778	126	66	n.	n.	VERB
alkej-778	126	67	the	the	DET
alkej-778	126	68	lowest	low	ADJ
alkej-778	126	69	frequency	frequency	NOUN
alkej-778	126	70	of	of	ADP
alkej-778	126	71	elasticity	elasticity	NOUN
alkej-778	126	72	systems	system	NOUN
alkej-778	126	73	is	be	AUX
alkej-778	126	74	calculated	calculate	VERB
alkej-778	126	75	using	use	VERB
alkej-778	126	76	dunkerley	dunkerley	NOUN
alkej-778	126	77	's	's	PART
alkej-778	126	78	method	method	NOUN
alkej-778	126	79	.	.	PUNCT
alkej-778	127	1	3	3	X
alkej-778	127	2	.	.	X
alkej-778	127	3	experimental	experimental	ADJ
alkej-778	127	4	work	work	NOUN
alkej-778	127	5	for	for	ADP
alkej-778	127	6	this	this	DET
alkej-778	127	7	project	project	NOUN
alkej-778	127	8	,	,	PUNCT
alkej-778	127	9	an	an	DET
alkej-778	127	10	experimental	experimental	ADJ
alkej-778	127	11	test	test	NOUN
alkej-778	127	12	platform	platform	NOUN
alkej-778	127	13	was	be	AUX
alkej-778	127	14	built	build	VERB
alkej-778	127	15	to	to	PART
alkej-778	127	16	measure	measure	VERB
alkej-778	127	17	natural	natural	ADJ
alkej-778	127	18	frequencies	frequency	NOUN
alkej-778	127	19	and	and	CCONJ
alkej-778	127	20	take	take	VERB
alkej-778	127	21	vibration	vibration	NOUN
alkej-778	127	22	readings	reading	NOUN
alkej-778	127	23	.	.	PUNCT
alkej-778	128	1	the	the	DET
alkej-778	128	2	main	main	ADJ
alkej-778	128	3	iron	iron	NOUN
alkej-778	128	4	platform	platform	NOUN
alkej-778	128	5	,	,	PUNCT
alkej-778	128	6	which	which	PRON
alkej-778	128	7	is	be	AUX
alkej-778	128	8	a	a	DET
alkej-778	128	9	metal	metal	NOUN
alkej-778	128	10	plate	plate	NOUN
alkej-778	128	11	constructed	construct	VERB
alkej-778	128	12	of	of	ADP
alkej-778	128	13	iron	iron	NOUN
alkej-778	128	14	with	with	ADP
alkej-778	128	15	dimensions	dimension	NOUN
alkej-778	128	16	of	of	ADP
alkej-778	128	17	120	120	NUM
alkej-778	128	18	cm	cm	NOUN
alkej-778	128	19	x	x	SYM
alkej-778	128	20	40	40	NUM
alkej-778	128	21	cm	cm	NOUN
alkej-778	128	22	x	x	SYM
alkej-778	128	23	5	5	NUM
alkej-778	128	24	mm	mm	NOUN
alkej-778	128	25	that	that	PRON
alkej-778	128	26	serves	serve	VERB
alkej-778	128	27	to	to	PART
alkej-778	128	28	carry	carry	VERB
alkej-778	128	29	the	the	DET
alkej-778	128	30	other	other	ADJ
alkej-778	128	31	parts	part	NOUN
alkej-778	128	32	was	be	AUX
alkej-778	128	33	employed	employ	VERB
alkej-778	128	34	.	.	PUNCT
alkej-778	129	1	a	a	DET
alkej-778	129	2	shaft	shaft	NOUN
alkej-778	129	3	is	be	AUX
alkej-778	129	4	a	a	DET
alkej-778	129	5	spinning	spin	VERB
alkej-778	129	6	member	member	NOUN
alkej-778	129	7	that	that	PRON
alkej-778	129	8	transmits	transmit	VERB
alkej-778	129	9	rotational	rotational	ADJ
alkej-778	129	10	motion	motion	NOUN
alkej-778	129	11	in	in	ADP
alkej-778	129	12	the	the	DET
alkej-778	129	13	system	system	NOUN
alkej-778	129	14	.	.	PUNCT
alkej-778	130	1	it	it	PRON
alkej-778	130	2	is	be	AUX
alkej-778	130	3	made	make	VERB
alkej-778	130	4	of	of	ADP
alkej-778	130	5	aisi	aisi	PROPN
alkej-778	130	6	1045	1045	NUM
alkej-778	130	7	steel	steel	NOUN
alkej-778	130	8	and	and	CCONJ
alkej-778	130	9	measures	measure	NOUN
alkej-778	130	10	80	80	NUM
alkej-778	130	11	cm	cm	NOUN
alkej-778	130	12	in	in	ADP
alkej-778	130	13	length	length	NOUN
alkej-778	130	14	and	and	CCONJ
alkej-778	130	15	20	20	NUM
alkej-778	130	16	mm	mm	NOUN
alkej-778	130	17	in	in	ADP
alkej-778	130	18	diameter	diameter	NOUN
alkej-778	130	19	.	.	PUNCT
alkej-778	131	1	two	two	NUM
alkej-778	131	2	metal	metal	NOUN
alkej-778	131	3	iron	iron	NOUN
alkej-778	131	4	pieces	piece	NOUN
alkej-778	131	5	,	,	PUNCT
alkej-778	131	6	40	40	NUM
alkej-778	131	7	cm	cm	NOUN
alkej-778	131	8	long	long	ADV
alkej-778	131	9	,	,	PUNCT
alkej-778	131	10	10	10	NUM
alkej-778	131	11	cm	cm	NOUN
alkej-778	131	12	wide	wide	ADV
alkej-778	131	13	,	,	PUNCT
alkej-778	131	14	and	and	CCONJ
alkej-778	131	15	10	10	NUM
alkej-778	131	16	mm	mm	NOUN
alkej-778	131	17	thick	thick	ADJ
alkej-778	131	18	were	be	AUX
alkej-778	131	19	also	also	ADV
alkej-778	131	20	used	use	VERB
alkej-778	131	21	.	.	PUNCT
alkej-778	132	1	the	the	DET
alkej-778	132	2	major	major	ADJ
alkej-778	132	3	role	role	NOUN
alkej-778	132	4	of	of	ADP
alkej-778	132	5	these	these	DET
alkej-778	132	6	components	component	NOUN
alkej-778	132	7	is	be	AUX
alkej-778	132	8	to	to	PART
alkej-778	132	9	support	support	VERB
alkej-778	132	10	the	the	DET
alkej-778	132	11	pillow	pillow	NOUN
alkej-778	132	12	block	block	NOUN
alkej-778	132	13	bearing	bearing	NOUN
alkej-778	132	14	.	.	PUNCT
alkej-778	133	1	in	in	ADP
alkej-778	133	2	addition	addition	NOUN
alkej-778	133	3	to	to	ADP
alkej-778	133	4	being	be	AUX
alkej-778	133	5	placed	place	VERB
alkej-778	133	6	on	on	ADP
alkej-778	133	7	the	the	DET
alkej-778	133	8	linear	linear	NOUN
alkej-778	133	9	ball	ball	NOUN
alkej-778	133	10	bearing	bear	VERB
alkej-778	133	11	block	block	NOUN
alkej-778	133	12	to	to	PART
alkej-778	133	13	modify	modify	VERB
alkej-778	133	14	the	the	DET
alkej-778	133	15	distances	distance	NOUN
alkej-778	133	16	between	between	ADP
alkej-778	133	17	the	the	DET
alkej-778	133	18	bearings	bearing	NOUN
alkej-778	133	19	,	,	PUNCT
alkej-778	133	20	these	these	DET
alkej-778	133	21	pieces	piece	NOUN
alkej-778	133	22	have	have	VERB
alkej-778	133	23	a	a	DET
alkej-778	133	24	longitudinal	longitudinal	ADJ
alkej-778	133	25	groove	groove	NOUN
alkej-778	133	26	targeted	target	VERB
alkej-778	133	27	at	at	ADP
alkej-778	133	28	balancing	balance	VERB
alkej-778	133	29	devices	device	NOUN
alkej-778	133	30	and	and	CCONJ
alkej-778	133	31	removing	remove	VERB
alkej-778	133	32	misalignments	misalignment	NOUN
alkej-778	133	33	.	.	PUNCT
alkej-778	134	1	there	there	PRON
alkej-778	134	2	's	be	VERB
alkej-778	134	3	also	also	ADV
alkej-778	134	4	a	a	DET
alkej-778	134	5	linear	linear	ADJ
alkej-778	134	6	sliding	slide	VERB
alkej-778	134	7	rail	rail	NOUN
alkej-778	134	8	that	that	PRON
alkej-778	134	9	holds	hold	VERB
alkej-778	134	10	the	the	DET
alkej-778	134	11	linear	linear	PROPN
alkej-778	134	12	ball	ball	NOUN
alkej-778	134	13	bearing	bear	VERB
alkej-778	134	14	block	block	NOUN
alkej-778	134	15	.	.	PUNCT
alkej-778	135	1	its	its	PRON
alkej-778	135	2	job	job	NOUN
alkej-778	135	3	is	be	AUX
alkej-778	135	4	to	to	PART
alkej-778	135	5	vary	vary	VERB
alkej-778	135	6	the	the	DET
alkej-778	135	7	distance	distance	NOUN
alkej-778	135	8	between	between	ADP
alkej-778	135	9	the	the	DET
alkej-778	135	10	bearings	bearing	NOUN
alkej-778	135	11	depending	depend	VERB
alkej-778	135	12	on	on	ADP
alkej-778	135	13	where	where	SCONJ
alkej-778	135	14	the	the	DET
alkej-778	135	15	measurements	measurement	NOUN
alkej-778	135	16	are	be	AUX
alkej-778	135	17	to	to	PART
alkej-778	135	18	be	be	AUX
alkej-778	135	19	made	make	VERB
alkej-778	135	20	.	.	PUNCT
alkej-778	136	1	the	the	DET
alkej-778	136	2	system	system	NOUN
alkej-778	136	3	also	also	ADV
alkej-778	136	4	has	have	VERB
alkej-778	136	5	a	a	DET
alkej-778	136	6	ball	ball	NOUN
alkej-778	136	7	bearing	bearing	NOUN
alkej-778	136	8	,	,	PUNCT
alkej-778	136	9	(	(	PUNCT
alkej-778	136	10	model	model	NOUN
alkej-778	136	11	ucp	ucp	PROPN
alkej-778	136	12	204	204	NUM
alkej-778	136	13	)	)	PUNCT
alkej-778	136	14	made	make	VERB
alkej-778	136	15	of	of	ADP
alkej-778	136	16	cast	cast	VERB
alkej-778	136	17	iron	iron	NOUN
alkej-778	136	18	with	with	ADP
alkej-778	136	19	an	an	DET
alkej-778	136	20	inner	inner	ADJ
alkej-778	136	21	diameter	diameter	NOUN
alkej-778	136	22	of	of	ADP
alkej-778	136	23	20	20	NUM
alkej-778	136	24	mm	mm	NOUN
alkej-778	136	25	,	,	PUNCT
alkej-778	136	26	a	a	DET
alkej-778	136	27	length	length	NOUN
alkej-778	136	28	of	of	ADP
alkej-778	136	29	124	124	NUM
alkej-778	136	30	mm	mm	NOUN
alkej-778	136	31	,	,	PUNCT
alkej-778	136	32	a	a	DET
alkej-778	136	33	thickness	thickness	NOUN
alkej-778	136	34	of	of	ADP
alkej-778	136	35	31	31	NUM
alkej-778	136	36	mm	mm	NOUN
alkej-778	136	37	,	,	PUNCT
alkej-778	136	38	a	a	DET
alkej-778	136	39	center	center	ADJ
alkej-778	136	40	height	height	NOUN
alkej-778	136	41	of	of	ADP
alkej-778	136	42	33.3	33.3	NUM
alkej-778	136	43	mm	mm	NOUN
alkej-778	136	44	,	,	PUNCT
alkej-778	136	45	and	and	CCONJ
alkej-778	136	46	an	an	DET
alkej-778	136	47	overall	overall	ADJ
alkej-778	136	48	height	height	NOUN
alkej-778	136	49	of	of	ADP
alkej-778	136	50	65	65	NUM
alkej-778	136	51	mm	mm	NOUN
alkej-778	136	52	.	.	PUNCT
alkej-778	137	1	a	a	DET
alkej-778	137	2	threephase	threephase	PROPN
alkej-778	137	3	electric	electric	ADJ
alkej-778	137	4	motor	motor	NOUN
alkej-778	137	5	with	with	ADP
alkej-778	137	6	a	a	DET
alkej-778	137	7	capacity	capacity	NOUN
alkej-778	137	8	of	of	ADP
alkej-778	137	9	0.37	0.37	NUM
alkej-778	137	10	kw	kw	NOUN
alkej-778	137	11	and	and	CCONJ
alkej-778	137	12	a	a	DET
alkej-778	137	13	maximum	maximum	ADJ
alkej-778	137	14	speed	speed	NOUN
alkej-778	137	15	of	of	ADP
alkej-778	137	16	2825	2825	NUM
alkej-778	137	17	rpm	rpm	NOUN
alkej-778	137	18	was	be	AUX
alkej-778	137	19	also	also	ADV
alkej-778	137	20	used	use	VERB
alkej-778	137	21	.	.	PUNCT
alkej-778	138	1	a	a	DET
alkej-778	138	2	coupling	coupling	NOUN
alkej-778	138	3	’s	’s	PART
alkej-778	138	4	main	main	ADJ
alkej-778	138	5	functions	function	NOUN
alkej-778	138	6	are	be	AUX
alkej-778	138	7	to	to	PART
alkej-778	138	8	connect	connect	VERB
alkej-778	138	9	the	the	DET
alkej-778	138	10	shaft	shaft	NOUN
alkej-778	138	11	to	to	ADP
alkej-778	138	12	the	the	DET
alkej-778	138	13	motor	motor	NOUN
alkej-778	138	14	and	and	CCONJ
alkej-778	138	15	reduce	reduce	VERB
alkej-778	138	16	misalignment	misalignment	NOUN
alkej-778	138	17	.	.	PUNCT
alkej-778	139	1	it	it	PRON
alkej-778	139	2	's	be	AUX
alkej-778	139	3	also	also	ADV
alkej-778	139	4	composed	compose	VERB
alkej-778	139	5	of	of	ADP
alkej-778	139	6	iron	iron	NOUN
alkej-778	139	7	,	,	PUNCT
alkej-778	139	8	with	with	ADP
alkej-778	139	9	a	a	DET
alkej-778	139	10	43	43	NUM
alkej-778	139	11	-	-	PUNCT
alkej-778	139	12	mm	mm	NOUN
alkej-778	139	13	outside	outside	ADJ
alkej-778	139	14	diameter	diameter	NOUN
alkej-778	139	15	and	and	CCONJ
alkej-778	139	16	a	a	DET
alkej-778	139	17	98	98	NUM
alkej-778	139	18	-	-	PUNCT
alkej-778	139	19	mm	mm	NOUN
alkej-778	139	20	length	length	NOUN
alkej-778	139	21	.	.	PUNCT
alkej-778	140	1	the	the	DET
alkej-778	140	2	system	system	NOUN
alkej-778	140	3	also	also	ADV
alkej-778	140	4	includes	include	VERB
alkej-778	140	5	a	a	DET
alkej-778	140	6	power	power	NOUN
alkej-778	140	7	source	source	NOUN
alkej-778	140	8	for	for	ADP
alkej-778	140	9	varying	vary	VERB
alkej-778	140	10	the	the	DET
alkej-778	140	11	motor	motor	NOUN
alkej-778	140	12	's	's	PART
alkej-778	140	13	rotational	rotational	ADJ
alkej-778	140	14	speed	speed	NOUN
alkej-778	140	15	,	,	PUNCT
alkej-778	140	16	an	an	DET
alkej-778	140	17	arduino	arduino	NOUN
alkej-778	140	18	uno	uno	NOUN
alkej-778	140	19	,	,	PUNCT
alkej-778	140	20	and	and	CCONJ
alkej-778	140	21	accelerometers	accelerometer	NOUN
alkej-778	140	22	mounted	mount	VERB
alkej-778	140	23	on	on	ADP
alkej-778	140	24	a	a	DET
alkej-778	140	25	ball	ball	NOUN
alkej-778	140	26	bearing	bear	VERB
alkej-778	140	27	to	to	PART
alkej-778	140	28	monitor	monitor	VERB
alkej-778	140	29	the	the	DET
alkej-778	140	30	intensity	intensity	NOUN
alkej-778	140	31	of	of	ADP
alkej-778	140	32	shaft	shaft	NOUN
alkej-778	140	33	vibrations	vibration	NOUN
alkej-778	140	34	,	,	PUNCT
alkej-778	140	35	with	with	ADP
alkej-778	140	36	measurements	measurement	NOUN
alkej-778	140	37	taken	take	VERB
alkej-778	140	38	solely	solely	ADV
alkej-778	140	39	for	for	ADP
alkej-778	140	40	the	the	DET
alkej-778	140	41	vertical	vertical	ADJ
alkej-778	140	42	axis	axis	NOUN
alkej-778	140	43	.	.	PUNCT
alkej-778	141	1	the	the	DET
alkej-778	141	2	details	detail	NOUN
alkej-778	141	3	are	be	AUX
alkej-778	141	4	shown	show	VERB
alkej-778	141	5	in	in	ADP
alkej-778	141	6	figures	figure	NOUN
alkej-778	141	7	3	3	NUM
alkej-778	141	8	and	and	CCONJ
alkej-778	141	9	4	4	NUM
alkej-778	141	10	.	.	PUNCT
alkej-778	142	1	the	the	DET
alkej-778	142	2	vibration	vibration	NOUN
alkej-778	142	3	signal	signal	NOUN
alkej-778	142	4	from	from	ADP
alkej-778	142	5	the	the	DET
alkej-778	142	6	two	two	NUM
alkej-778	142	7	accelerometers	accelerometer	NOUN
alkej-778	142	8	(	(	PUNCT
alkej-778	142	9	mpu6050	mpu6050	NOUN
alkej-778	142	10	and	and	CCONJ
alkej-778	142	11	adxl335	adxl335	PROPN
alkej-778	142	12	)	)	PUNCT
alkej-778	142	13	,	,	PUNCT
alkej-778	142	14	with	with	ADP
alkej-778	142	15	a	a	DET
alkej-778	142	16	variable	variable	ADJ
alkej-778	142	17	rotational	rotational	ADJ
alkej-778	142	18	speed	speed	NOUN
alkej-778	142	19	starting	start	VERB
alkej-778	142	20	at	at	ADP
alkej-778	142	21	500	500	NUM
alkej-778	142	22	rpm	rpm	NOUN
alkej-778	142	23	and	and	CCONJ
alkej-778	142	24	ending	end	VERB
alkej-778	142	25	at	at	ADP
alkej-778	142	26	3000	3000	NUM
alkej-778	142	27	rpm	rpm	NOUN
alkej-778	142	28	,	,	PUNCT
alkej-778	142	29	was	be	AUX
alkej-778	142	30	analyzed	analyze	VERB
alkej-778	142	31	using	use	VERB
alkej-778	142	32	the	the	DET
alkej-778	142	33	labview	labview	NOUN
alkej-778	142	34	program	program	NOUN
alkej-778	142	35	.	.	PUNCT
alkej-778	143	1	as	as	SCONJ
alkej-778	143	2	indicated	indicate	VERB
alkej-778	143	3	in	in	ADP
alkej-778	143	4	figure	figure	NOUN
alkej-778	143	5	5	5	NUM
alkej-778	143	6	,	,	PUNCT
alkej-778	143	7	the	the	DET
alkej-778	143	8	sensors	sensor	NOUN
alkej-778	143	9	(	(	PUNCT
alkej-778	143	10	mpu6050	mpu6050	NOUN
alkej-778	143	11	and	and	CCONJ
alkej-778	143	12	adxl335	adxl335	PROPN
alkej-778	143	13	)	)	PUNCT
alkej-778	143	14	were	be	AUX
alkej-778	143	15	also	also	ADV
alkej-778	143	16	employed	employ	VERB
alkej-778	143	17	for	for	ADP
alkej-778	143	18	the	the	DET
alkej-778	143	19	calibration	calibration	NOUN
alkej-778	143	20	process	process	NOUN
alkej-778	143	21	between	between	ADP
alkej-778	143	22	them	they	PRON
alkej-778	143	23	.	.	PUNCT
alkej-778	144	1	the	the	DET
alkej-778	144	2	readings	reading	NOUN
alkej-778	144	3	from	from	ADP
alkej-778	144	4	the	the	DET
alkej-778	144	5	labview	labview	NOUN
alkej-778	144	6	program	program	NOUN
alkej-778	144	7	are	be	AUX
alkej-778	144	8	in	in	ADP
alkej-778	144	9	hertz	hertz	NOUN
alkej-778	144	10	,	,	PUNCT
alkej-778	144	11	and	and	CCONJ
alkej-778	144	12	the	the	DET
alkej-778	144	13	system	system	NOUN
alkej-778	144	14	's	's	PART
alkej-778	144	15	frequency	frequency	NOUN
alkej-778	144	16	readings	reading	NOUN
alkej-778	144	17	are	be	AUX
alkej-778	144	18	taken	take	VERB
alkej-778	144	19	on	on	ADP
alkej-778	144	20	the	the	DET
alkej-778	144	21	z	z	PROPN
alkej-778	144	22	vertical	vertical	ADJ
alkej-778	144	23	axis	axis	NOUN
alkej-778	144	24	.	.	PUNCT
alkej-778	145	1	karrar	karrar	NOUN
alkej-778	145	2	baher	baher	ADP
alkej-778	145	3	al	al	PROPN
alkej-778	145	4	-	-	PUNCT
alkej-778	145	5	khwarizmi	khwarizmi	PROPN
alkej-778	145	6	engineering	engineering	NOUN
alkej-778	145	7	journal	journal	PROPN
alkej-778	145	8	,	,	PUNCT
alkej-778	145	9	vol	vol	NOUN
alkej-778	145	10	.	.	PROPN
alkej-778	145	11	18	18	NUM
alkej-778	145	12	,	,	PUNCT
alkej-778	145	13	no	no	INTJ
alkej-778	145	14	.	.	NOUN
alkej-778	145	15	2	2	NUM
alkej-778	145	16	,	,	PUNCT
alkej-778	145	17	p.p	p.p	PROPN
alkej-778	145	18	.	.	NOUN
alkej-778	145	19	2942	2942	NUM
alkej-778	145	20	(	(	PUNCT
alkej-778	145	21	2022	2022	NUM
alkej-778	145	22	)	)	PUNCT
alkej-778	145	23	34	34	NUM
alkej-778	145	24	fig	fig	NOUN
alkej-778	145	25	.	.	PUNCT
alkej-778	146	1	4	4	X
alkej-778	146	2	.	.	X
alkej-778	146	3	the	the	DET
alkej-778	146	4	main	main	ADJ
alkej-778	146	5	components	component	NOUN
alkej-778	146	6	of	of	ADP
alkej-778	146	7	the	the	DET
alkej-778	146	8	system	system	NOUN
alkej-778	146	9	.	.	PUNCT
alkej-778	147	1	the	the	DET
alkej-778	147	2	main	main	ADJ
alkej-778	147	3	components	component	NOUN
alkej-778	147	4	of	of	ADP
alkej-778	147	5	the	the	DET
alkej-778	147	6	system	system	NOUN
alkej-778	147	7	in	in	ADP
alkej-778	147	8	this	this	DET
alkej-778	147	9	work	work	NOUN
alkej-778	147	10	as	as	SCONJ
alkej-778	147	11	shown	show	VERB
alkej-778	147	12	in	in	ADP
alkej-778	147	13	figure	figure	NOUN
alkej-778	147	14	4	4	NUM
alkej-778	147	15	:	:	PUNCT
alkej-778	147	16	1motor	1motor	NUM
alkej-778	147	17	2coupling	2coupling	NUM
alkej-778	147	18	3ball	3ball	NUM
alkej-778	147	19	bearing	bear	VERB
alkej-778	147	20	4rotating	4rotating	NUM
alkej-778	147	21	shaft	shaft	NOUN
alkej-778	147	22	5sensors	5sensors	PROPN
alkej-778	147	23	6main	6main	NUM
alkej-778	147	24	base	base	NOUN
alkej-778	147	25	7linear	7linear	NUM
alkej-778	147	26	ball	ball	NOUN
alkej-778	147	27	bearing	bear	VERB
alkej-778	147	28	block	block	NOUN
alkej-778	147	29	8linear	8linear	NUM
alkej-778	147	30	sliding	slide	VERB
alkej-778	147	31	rail	rail	NOUN
alkej-778	147	32	9iron	9iron	NUM
alkej-778	147	33	pieces	piece	NOUN
alkej-778	147	34	10arduino	10arduino	NUM
alkej-778	148	1	uno	uno	PROPN
alkej-778	148	2	karrar	karrar	PROPN
alkej-778	148	3	baher	baher	CCONJ
alkej-778	148	4	al	al	PROPN
alkej-778	148	5	-	-	PUNCT
alkej-778	148	6	khwarizmi	khwarizmi	PROPN
alkej-778	148	7	engineering	engineering	NOUN
alkej-778	148	8	journal	journal	PROPN
alkej-778	148	9	,	,	PUNCT
alkej-778	148	10	vol	vol	NOUN
alkej-778	148	11	.	.	PROPN
alkej-778	148	12	18	18	NUM
alkej-778	148	13	,	,	PUNCT
alkej-778	148	14	no	no	INTJ
alkej-778	148	15	.	.	NOUN
alkej-778	148	16	2	2	NUM
alkej-778	148	17	,	,	PUNCT
alkej-778	148	18	p.p	p.p	PROPN
alkej-778	148	19	.	.	NOUN
alkej-778	148	20	2942	2942	NUM
alkej-778	148	21	(	(	PUNCT
alkej-778	148	22	2022	2022	NUM
alkej-778	148	23	)	)	PUNCT
alkej-778	148	24	35	35	NUM
alkej-778	148	25	fig	fig	NOUN
alkej-778	148	26	.	.	PUNCT
alkej-778	149	1	5	5	X
alkej-778	149	2	.	.	X
alkej-778	149	3	calibration	calibration	NOUN
alkej-778	149	4	between	between	ADP
alkej-778	149	5	mpu6050	mpu6050	PROPN
alkej-778	149	6	and	and	CCONJ
alkej-778	149	7	adxl335	adxl335	PROPN
alkej-778	149	8	.	.	PROPN
alkej-778	150	1	4	4	NUM
alkej-778	150	2	.	.	NOUN
alkej-778	150	3	results	result	NOUN
alkej-778	150	4	and	and	CCONJ
alkej-778	150	5	discussion	discussion	VERB
alkej-778	150	6	the	the	DET
alkej-778	150	7	natural	natural	ADJ
alkej-778	150	8	frequencies	frequency	NOUN
alkej-778	150	9	are	be	AUX
alkej-778	150	10	derived	derive	VERB
alkej-778	150	11	using	use	VERB
alkej-778	150	12	dunkerley	dunkerley	NOUN
alkej-778	150	13	's	's	PART
alkej-778	150	14	approach	approach	NOUN
alkej-778	150	15	from	from	ADP
alkej-778	150	16	the	the	DET
alkej-778	150	17	critical	critical	ADJ
alkej-778	150	18	frequency	frequency	NOUN
alkej-778	150	19	values	value	NOUN
alkej-778	150	20	that	that	PRON
alkej-778	150	21	were	be	AUX
alkej-778	150	22	retrieved	retrieve	VERB
alkej-778	150	23	using	use	VERB
alkej-778	150	24	equation	equation	NOUN
alkej-778	150	25	22	22	NUM
alkej-778	150	26	and	and	CCONJ
alkej-778	150	27	the	the	DET
alkej-778	150	28	results	result	NOUN
alkej-778	150	29	are	be	AUX
alkej-778	150	30	compared	compare	VERB
alkej-778	150	31	with	with	ADP
alkej-778	150	32	rayleigh	rayleigh	PROPN
alkej-778	150	33	's	's	PART
alkej-778	150	34	uniform	uniform	ADJ
alkej-778	150	35	beam	beam	NOUN
alkej-778	150	36	values	value	NOUN
alkej-778	150	37	,	,	PUNCT
alkej-778	150	38	yielding	yield	VERB
alkej-778	150	39	the	the	DET
alkej-778	150	40	difference	difference	NOUN
alkej-778	150	41	ratio	ratio	NOUN
alkej-778	150	42	between	between	ADP
alkej-778	150	43	the	the	DET
alkej-778	150	44	two	two	NUM
alkej-778	150	45	ways	way	NOUN
alkej-778	150	46	,	,	PUNCT
alkej-778	150	47	as	as	SCONJ
alkej-778	150	48	shown	show	VERB
alkej-778	150	49	in	in	ADP
alkej-778	150	50	table	table	NOUN
alkej-778	150	51	1	1	NUM
alkej-778	150	52	.	.	PUNCT
alkej-778	151	1	given	give	VERB
alkej-778	151	2	that	that	DET
alkej-778	151	3	rayleigh	rayleigh	PROPN
alkej-778	151	4	's	's	PART
alkej-778	151	5	technique	technique	NOUN
alkej-778	151	6	is	be	AUX
alkej-778	151	7	more	more	ADV
alkej-778	151	8	precise	precise	ADJ
alkej-778	151	9	,	,	PUNCT
alkej-778	151	10	it	it	PRON
alkej-778	151	11	's	be	AUX
alkej-778	151	12	worth	worth	ADJ
alkej-778	151	13	noting	note	VERB
alkej-778	151	14	that	that	SCONJ
alkej-778	151	15	as	as	ADP
alkej-778	151	16	the	the	DET
alkej-778	151	17	number	number	NOUN
alkej-778	151	18	of	of	ADP
alkej-778	151	19	nodes	node	NOUN
alkej-778	151	20	employed	employ	VERB
alkej-778	151	21	for	for	ADP
alkej-778	151	22	the	the	DET
alkej-778	151	23	uniform	uniform	ADJ
alkej-778	151	24	beam	beam	NOUN
alkej-778	151	25	grows	grow	VERB
alkej-778	151	26	,	,	PUNCT
alkej-778	151	27	the	the	DET
alkej-778	151	28	difference	difference	NOUN
alkej-778	151	29	between	between	ADP
alkej-778	151	30	the	the	DET
alkej-778	151	31	values	value	NOUN
alkej-778	151	32	reduces	reduce	VERB
alkej-778	151	33	and	and	CCONJ
alkej-778	151	34	the	the	DET
alkej-778	151	35	results	result	NOUN
alkej-778	151	36	converge	converge	VERB
alkej-778	151	37	.	.	PUNCT
alkej-778	152	1	this	this	PRON
alkej-778	152	2	suggests	suggest	VERB
alkej-778	152	3	that	that	SCONJ
alkej-778	152	4	the	the	DET
alkej-778	152	5	two	two	NUM
alkej-778	152	6	procedures	procedure	NOUN
alkej-778	152	7	are	be	AUX
alkej-778	152	8	in	in	ADP
alkej-778	152	9	karrar	karrar	NOUN
alkej-778	152	10	baher	baher	CCONJ
alkej-778	152	11	al	al	PROPN
alkej-778	152	12	-	-	PUNCT
alkej-778	152	13	khwarizmi	khwarizmi	PROPN
alkej-778	152	14	engineering	engineering	NOUN
alkej-778	152	15	journal	journal	PROPN
alkej-778	152	16	,	,	PUNCT
alkej-778	152	17	vol	vol	NOUN
alkej-778	152	18	.	.	PROPN
alkej-778	152	19	18	18	NUM
alkej-778	152	20	,	,	PUNCT
alkej-778	152	21	no	no	INTJ
alkej-778	152	22	.	.	NOUN
alkej-778	152	23	2	2	NUM
alkej-778	152	24	,	,	PUNCT
alkej-778	152	25	p.p	p.p	PROPN
alkej-778	152	26	.	.	NOUN
alkej-778	152	27	2942	2942	NUM
alkej-778	152	28	(	(	PUNCT
alkej-778	152	29	2022	2022	NUM
alkej-778	152	30	)	)	PUNCT
alkej-778	152	31	36	36	NUM
alkej-778	152	32	agreement	agreement	NOUN
alkej-778	152	33	and	and	CCONJ
alkej-778	152	34	that	that	SCONJ
alkej-778	152	35	the	the	DET
alkej-778	152	36	results	result	NOUN
alkej-778	152	37	are	be	AUX
alkej-778	152	38	accurate	accurate	ADJ
alkej-778	152	39	.	.	PUNCT
alkej-778	153	1	in	in	ADP
alkej-778	153	2	practice	practice	NOUN
alkej-778	153	3	,	,	PUNCT
alkej-778	153	4	labview	labview	NOUN
alkej-778	153	5	software	software	NOUN
alkej-778	153	6	will	will	AUX
alkej-778	153	7	be	be	AUX
alkej-778	153	8	used	use	VERB
alkej-778	153	9	to	to	PART
alkej-778	153	10	find	find	VERB
alkej-778	153	11	the	the	DET
alkej-778	153	12	frequency	frequency	NOUN
alkej-778	153	13	domain	domain	NOUN
alkej-778	153	14	using	use	VERB
alkej-778	153	15	mpu6050	mpu6050	PROPN
alkej-778	153	16	and	and	CCONJ
alkej-778	153	17	adxl335	adxl335	PROPN
alkej-778	153	18	sensors	sensor	NOUN
alkej-778	153	19	,	,	PUNCT
alkej-778	153	20	with	with	ADP
alkej-778	153	21	the	the	DET
alkej-778	153	22	two	two	NUM
alkej-778	153	23	sensors	sensor	NOUN
alkej-778	153	24	being	be	AUX
alkej-778	153	25	used	use	VERB
alkej-778	153	26	to	to	PART
alkej-778	153	27	calibrate	calibrate	VERB
alkej-778	153	28	the	the	DET
alkej-778	153	29	results	result	NOUN
alkej-778	153	30	and	and	CCONJ
alkej-778	153	31	note	note	VERB
alkej-778	153	32	their	their	PRON
alkej-778	153	33	reliability	reliability	NOUN
alkej-778	153	34	.	.	PUNCT
alkej-778	154	1	the	the	DET
alkej-778	154	2	investigation	investigation	NOUN
alkej-778	154	3	was	be	AUX
alkej-778	154	4	carried	carry	VERB
alkej-778	154	5	out	out	ADP
alkej-778	154	6	in	in	ADP
alkej-778	154	7	six	six	NUM
alkej-778	154	8	distinct	distinct	ADJ
alkej-778	154	9	bearing	bearing	NOUN
alkej-778	154	10	positions	position	NOUN
alkej-778	154	11	.	.	PUNCT
alkej-778	155	1	the	the	DET
alkej-778	155	2	amplitude	amplitude	NOUN
alkej-778	155	3	of	of	ADP
alkej-778	155	4	rotating	rotate	VERB
alkej-778	155	5	shaft	shaft	NOUN
alkej-778	155	6	vibrations	vibration	NOUN
alkej-778	155	7	at	at	ADP
alkej-778	155	8	six	six	NUM
alkej-778	155	9	distinct	distinct	ADJ
alkej-778	155	10	places	place	NOUN
alkej-778	155	11	along	along	ADP
alkej-778	155	12	the	the	DET
alkej-778	155	13	vertical	vertical	ADJ
alkej-778	155	14	z	z	NOUN
alkej-778	155	15	-	-	PUNCT
alkej-778	155	16	axis	axis	NOUN
alkej-778	155	17	was	be	AUX
alkej-778	155	18	studied	study	VERB
alkej-778	155	19	using	use	VERB
alkej-778	155	20	the	the	DET
alkej-778	155	21	labview	labview	NOUN
alkej-778	155	22	software	software	NOUN
alkej-778	155	23	in	in	ADP
alkej-778	155	24	figures	figure	NOUN
alkej-778	155	25	7	7	NUM
alkej-778	155	26	to	to	PART
alkej-778	155	27	12	12	NUM
alkej-778	155	28	,	,	PUNCT
alkej-778	155	29	and	and	CCONJ
alkej-778	155	30	these	these	DET
alkej-778	155	31	positions	position	NOUN
alkej-778	155	32	are	be	AUX
alkej-778	155	33	depicted	depict	VERB
alkej-778	155	34	in	in	ADP
alkej-778	155	35	the	the	DET
alkej-778	155	36	simple	simple	ADJ
alkej-778	155	37	schematic	schematic	ADJ
alkej-778	155	38	figure	figure	NOUN
alkej-778	155	39	of	of	ADP
alkej-778	155	40	figure	figure	NOUN
alkej-778	155	41	6	6	NUM
alkej-778	155	42	.	.	PUNCT
alkej-778	156	1	when	when	SCONJ
alkej-778	156	2	the	the	DET
alkej-778	156	3	distance	distance	NOUN
alkej-778	156	4	between	between	ADP
alkej-778	156	5	the	the	DET
alkej-778	156	6	bearings	bearing	NOUN
alkej-778	156	7	is	be	AUX
alkej-778	156	8	lowered	lower	VERB
alkej-778	156	9	,	,	PUNCT
alkej-778	156	10	it	it	PRON
alkej-778	156	11	has	have	AUX
alkej-778	156	12	been	be	AUX
alkej-778	156	13	noticed	notice	VERB
alkej-778	156	14	that	that	SCONJ
alkej-778	156	15	the	the	DET
alkej-778	156	16	values	value	NOUN
alkej-778	156	17	of	of	ADP
alkej-778	156	18	the	the	DET
alkej-778	156	19	natural	natural	ADJ
alkej-778	156	20	frequencies	frequency	NOUN
alkej-778	156	21	begin	begin	VERB
alkej-778	156	22	to	to	PART
alkej-778	156	23	fall	fall	VERB
alkej-778	156	24	.	.	PUNCT
alkej-778	157	1	at	at	ADP
alkej-778	157	2	around	around	ADV
alkej-778	157	3	65	65	NUM
alkej-778	157	4	hz	hz	VERB
alkej-778	157	5	,	,	PUNCT
alkej-778	157	6	the	the	DET
alkej-778	157	7	natural	natural	ADJ
alkej-778	157	8	frequency	frequency	NOUN
alkej-778	157	9	reaches	reach	VERB
alkej-778	157	10	its	its	PRON
alkej-778	157	11	maximum	maximum	ADJ
alkej-778	157	12	value	value	NOUN
alkej-778	157	13	,	,	PUNCT
alkej-778	157	14	which	which	PRON
alkej-778	157	15	is	be	AUX
alkej-778	157	16	the	the	DET
alkej-778	157	17	first	first	ADJ
alkej-778	157	18	critical	critical	ADJ
alkej-778	157	19	frequency	frequency	NOUN
alkej-778	157	20	of	of	ADP
alkej-778	157	21	a	a	DET
alkej-778	157	22	spinning	spinning	NOUN
alkej-778	157	23	shaft	shaft	NOUN
alkej-778	157	24	in	in	ADP
alkej-778	157	25	the	the	DET
alkej-778	157	26	first	first	ADJ
alkej-778	157	27	position	position	NOUN
alkej-778	157	28	.	.	PUNCT
alkej-778	158	1	in	in	ADP
alkej-778	158	2	the	the	DET
alkej-778	158	3	sixth	sixth	ADJ
alkej-778	158	4	position	position	NOUN
alkej-778	158	5	,	,	PUNCT
alkej-778	158	6	it	it	PRON
alkej-778	158	7	reaches	reach	VERB
alkej-778	158	8	its	its	PRON
alkej-778	158	9	lowest	low	ADJ
alkej-778	158	10	critical	critical	ADJ
alkej-778	158	11	frequency	frequency	NOUN
alkej-778	158	12	of	of	ADP
alkej-778	158	13	7	7	NUM
alkej-778	158	14	hz	hz	NOUN
alkej-778	158	15	.	.	PUNCT
alkej-778	159	1	the	the	DET
alkej-778	159	2	values	value	NOUN
alkej-778	159	3	of	of	ADP
alkej-778	159	4	the	the	DET
alkej-778	159	5	natural	natural	ADJ
alkej-778	159	6	frequencies	frequency	NOUN
alkej-778	159	7	usually	usually	ADV
alkej-778	159	8	decrease	decrease	VERB
alkej-778	159	9	as	as	SCONJ
alkej-778	159	10	the	the	DET
alkej-778	159	11	distance	distance	NOUN
alkej-778	159	12	between	between	ADP
alkej-778	159	13	the	the	DET
alkej-778	159	14	bearings	bearing	NOUN
alkej-778	159	15	decreases	decrease	VERB
alkej-778	159	16	,	,	PUNCT
alkej-778	159	17	indicating	indicate	VERB
alkej-778	159	18	that	that	SCONJ
alkej-778	159	19	when	when	SCONJ
alkej-778	159	20	the	the	DET
alkej-778	159	21	shaft	shaft	NOUN
alkej-778	159	22	becomes	become	VERB
alkej-778	159	23	a	a	DET
alkej-778	159	24	hanging	hang	VERB
alkej-778	159	25	shaft	shaft	NOUN
alkej-778	159	26	,	,	PUNCT
alkej-778	159	27	the	the	DET
alkej-778	159	28	value	value	NOUN
alkej-778	159	29	of	of	ADP
alkej-778	159	30	the	the	DET
alkej-778	159	31	stresses	stress	NOUN
alkej-778	159	32	is	be	AUX
alkej-778	159	33	lower	low	ADJ
alkej-778	159	34	which	which	PRON
alkej-778	159	35	reduces	reduce	VERB
alkej-778	159	36	the	the	DET
alkej-778	159	37	size	size	NOUN
alkej-778	159	38	of	of	ADP
alkej-778	159	39	the	the	DET
alkej-778	159	40	whirling	whirling	NOUN
alkej-778	159	41	along	along	ADP
alkej-778	159	42	the	the	DET
alkej-778	159	43	shaft	shaft	NOUN
alkej-778	159	44	.	.	PUNCT
alkej-778	160	1	table	table	NOUN
alkej-778	160	2	1	1	NUM
alkej-778	160	3	,	,	PUNCT
alkej-778	160	4	the	the	DET
alkej-778	160	5	frequencies	frequency	NOUN
alkej-778	160	6	of	of	ADP
alkej-778	160	7	the	the	DET
alkej-778	160	8	uniform	uniform	ADJ
alkej-778	160	9	beam	beam	NOUN
alkej-778	160	10	are	be	AUX
alkej-778	160	11	calculated	calculate	VERB
alkej-778	160	12	by	by	ADP
alkej-778	160	13	using	use	VERB
alkej-778	160	14	rayleigh	rayleigh	NOUN
alkej-778	160	15	-	-	PUNCT
alkej-778	160	16	dunkerley	dunkerley	PROPN
alkej-778	160	17	's	's	PART
alkej-778	160	18	approach	approach	NOUN
alkej-778	160	19	for	for	ADP
alkej-778	160	20	a	a	DET
alkej-778	160	21	range	range	NOUN
alkej-778	160	22	of	of	ADP
alkej-778	160	23	different	different	ADJ
alkej-778	160	24	nodes	node	NOUN
alkej-778	160	25	:	:	PUNCT
alkej-778	160	26	the	the	DET
alkej-778	160	27	analytical	analytical	ADJ
alkej-778	160	28	approaches	approach	NOUN
alkej-778	160	29	were	be	AUX
alkej-778	160	30	investigated	investigate	VERB
alkej-778	160	31	and	and	CCONJ
alkej-778	160	32	compared	compare	VERB
alkej-778	160	33	to	to	ADP
alkej-778	160	34	the	the	DET
alkej-778	160	35	exact	exact	ADJ
alkej-778	160	36	method	method	NOUN
alkej-778	160	37	[	[	X
alkej-778	160	38	20	20	NUM
alkej-778	160	39	]	]	PUNCT
alkej-778	160	40	,	,	PUNCT
alkej-778	160	41	with	with	ADP
alkej-778	160	42	the	the	DET
alkej-778	160	43	rayleigh	rayleigh	PROPN
alkej-778	160	44	method	method	NOUN
alkej-778	160	45	showing	show	VERB
alkej-778	160	46	a	a	DET
alkej-778	160	47	difference	difference	NOUN
alkej-778	160	48	of	of	ADP
alkej-778	160	49	0.0585	0.0585	NUM
alkej-778	160	50	percent	percent	NOUN
alkej-778	160	51	when	when	SCONJ
alkej-778	160	52	compared	compare	VERB
alkej-778	160	53	to	to	ADP
alkej-778	160	54	the	the	DET
alkej-778	160	55	exact	exact	ADJ
alkej-778	160	56	method	method	NOUN
alkej-778	160	57	,	,	PUNCT
alkej-778	160	58	and	and	CCONJ
alkej-778	160	59	with	with	ADP
alkej-778	160	60	the	the	DET
alkej-778	160	61	dunkerley	dunkerley	NOUN
alkej-778	160	62	method	method	NOUN
alkej-778	160	63	showing	show	VERB
alkej-778	160	64	a	a	DET
alkej-778	160	65	difference	difference	NOUN
alkej-778	160	66	of	of	ADP
alkej-778	160	67	3.8788	3.8788	NUM
alkej-778	160	68	percent	percent	NOUN
alkej-778	160	69	when	when	SCONJ
alkej-778	160	70	compared	compare	VERB
alkej-778	160	71	to	to	ADP
alkej-778	160	72	the	the	DET
alkej-778	160	73	exact	exact	ADJ
alkej-778	160	74	method	method	NOUN
alkej-778	160	75	.	.	PUNCT
alkej-778	161	1	fig	fig	NOUN
alkej-778	161	2	.	.	PUNCT
alkej-778	162	1	6	6	X
alkej-778	162	2	.	.	X
alkej-778	162	3	sketch	sketch	NOUN
alkej-778	162	4	between	between	ADP
alkej-778	162	5	the	the	DET
alkej-778	162	6	bearings	bearing	NOUN
alkej-778	162	7	.	.	PUNCT
alkej-778	163	1	(	(	PUNCT
alkej-778	163	2	a	a	X
alkej-778	163	3	)	)	PUNCT
alkej-778	163	4	first	first	ADJ
alkej-778	163	5	position	position	NOUN
alkej-778	163	6	,	,	PUNCT
alkej-778	163	7	(	(	PUNCT
alkej-778	163	8	b	b	NOUN
alkej-778	163	9	)	)	PUNCT
alkej-778	163	10	second	second	ADJ
alkej-778	163	11	position	position	NOUN
alkej-778	163	12	,	,	PUNCT
alkej-778	163	13	(	(	PUNCT
alkej-778	163	14	c	c	NOUN
alkej-778	163	15	)	)	PUNCT
alkej-778	163	16	third	third	ADJ
alkej-778	163	17	position	position	NOUN
alkej-778	163	18	,	,	PUNCT
alkej-778	163	19	(	(	PUNCT
alkej-778	163	20	d	d	NOUN
alkej-778	163	21	)	)	PUNCT
alkej-778	163	22	forth	forth	ADV
alkej-778	163	23	position	position	NOUN
alkej-778	163	24	,	,	PUNCT
alkej-778	163	25	(	(	PUNCT
alkej-778	163	26	e	e	NOUN
alkej-778	163	27	)	)	PUNCT
alkej-778	163	28	fifth	fifth	ADJ
alkej-778	163	29	position	position	NOUN
alkej-778	163	30	,	,	PUNCT
alkej-778	163	31	(	(	PUNCT
alkej-778	163	32	f	f	X
alkej-778	163	33	)	)	PUNCT
alkej-778	163	34	sixth	sixth	ADJ
alkej-778	163	35	position	position	NOUN
alkej-778	163	36	.	.	PUNCT
alkej-778	164	1	no	no	INTJ
alkej-778	164	2	.	.	PUNCT
alkej-778	164	3	nodes	node	NOUN
alkej-778	164	4	natural	natural	ADJ
alkej-778	164	5	frequency	frequency	NOUN
alkej-778	164	6	(	(	PUNCT
alkej-778	164	7	hz	hz	NOUN
alkej-778	164	8	)	)	PUNCT
alkej-778	164	9	difference	difference	NOUN
alkej-778	164	10	%	%	NOUN
alkej-778	164	11	rayleigh	rayleigh	PROPN
alkej-778	164	12	dunkerley	dunkerley	NOUN
alkej-778	164	13	5	5	NUM
alkej-778	164	14	nodes	node	NOUN
alkej-778	164	15	62.52421	62.52421	NUM
alkej-778	164	16	60.22316	60.22316	NUM
alkej-778	164	17	3.68025	3.68025	NUM
alkej-778	164	18	7	7	NUM
alkej-778	164	19	nodes	node	NOUN
alkej-778	164	20	62.77290	62.77290	NUM
alkej-778	164	21	60.50608	60.50608	NUM
alkej-778	164	22	3.61116	3.61116	NUM
alkej-778	164	23	9	9	NUM
alkej-778	164	24	nodes	node	NOUN
alkej-778	164	25	62.56431	62.56431	NUM
alkej-778	164	26	60.11276	60.11276	NUM
alkej-778	164	27	3.91845	3.91845	NUM
alkej-778	164	28	12	12	NUM
alkej-778	164	29	nodes	node	NOUN
alkej-778	164	30	62.56956	62.56956	NUM
alkej-778	164	31	60.10748	60.10748	NUM
alkej-778	164	32	3.93496	3.93496	NUM
alkej-778	164	33	karrar	karrar	NOUN
alkej-778	164	34	baher	baher	CCONJ
alkej-778	164	35	al	al	PROPN
alkej-778	164	36	-	-	PUNCT
alkej-778	164	37	khwarizmi	khwarizmi	PROPN
alkej-778	164	38	engineering	engineering	NOUN
alkej-778	164	39	journal	journal	PROPN
alkej-778	164	40	,	,	PUNCT
alkej-778	164	41	vol	vol	NOUN
alkej-778	164	42	.	.	PROPN
alkej-778	164	43	18	18	NUM
alkej-778	164	44	,	,	PUNCT
alkej-778	164	45	no	no	INTJ
alkej-778	164	46	.	.	NOUN
alkej-778	164	47	2	2	NUM
alkej-778	164	48	,	,	PUNCT
alkej-778	164	49	p.p	p.p	PROPN
alkej-778	164	50	.	.	NOUN
alkej-778	164	51	2942	2942	NUM
alkej-778	164	52	(	(	PUNCT
alkej-778	164	53	2022	2022	NUM
alkej-778	164	54	)	)	PUNCT
alkej-778	164	55	37	37	NUM
alkej-778	164	56	fig	fig	NOUN
alkej-778	164	57	.	.	PUNCT
alkej-778	165	1	7	7	X
alkej-778	165	2	.	.	NOUN
alkej-778	165	3	natural	natural	ADJ
alkej-778	165	4	frequency	frequency	NOUN
alkej-778	165	5	of	of	ADP
alkej-778	165	6	first	first	ADJ
alkej-778	165	7	position	position	NOUN
alkej-778	165	8	.	.	PUNCT
alkej-778	166	1	fig	fig	NOUN
alkej-778	166	2	.	.	PUNCT
alkej-778	167	1	8	8	NUM
alkej-778	167	2	.	.	PUNCT
alkej-778	167	3	natural	natural	ADJ
alkej-778	167	4	frequency	frequency	NOUN
alkej-778	167	5	of	of	ADP
alkej-778	167	6	second	second	ADJ
alkej-778	167	7	position	position	NOUN
alkej-778	167	8	.	.	PUNCT
alkej-778	168	1	fig	fig	NOUN
alkej-778	168	2	.	.	PUNCT
alkej-778	169	1	9	9	NUM
alkej-778	169	2	.	.	NOUN
alkej-778	169	3	natural	natural	ADJ
alkej-778	169	4	frequency	frequency	NOUN
alkej-778	169	5	of	of	ADP
alkej-778	169	6	third	third	ADJ
alkej-778	169	7	position	position	NOUN
alkej-778	169	8	.	.	PUNCT
alkej-778	170	1	fig	fig	NOUN
alkej-778	170	2	.	.	PUNCT
alkej-778	171	1	10	10	NUM
alkej-778	171	2	.	.	PUNCT
alkej-778	171	3	natural	natural	ADJ
alkej-778	171	4	frequency	frequency	NOUN
alkej-778	171	5	of	of	ADP
alkej-778	171	6	fourth	fourth	ADJ
alkej-778	171	7	position	position	NOUN
alkej-778	171	8	.	.	PUNCT
alkej-778	172	1	karrar	karrar	NOUN
alkej-778	172	2	baher	baher	ADP
alkej-778	172	3	al	al	PROPN
alkej-778	172	4	-	-	PUNCT
alkej-778	172	5	khwarizmi	khwarizmi	PROPN
alkej-778	172	6	engineering	engineering	NOUN
alkej-778	172	7	journal	journal	PROPN
alkej-778	172	8	,	,	PUNCT
alkej-778	172	9	vol	vol	NOUN
alkej-778	172	10	.	.	PROPN
alkej-778	172	11	18	18	NUM
alkej-778	172	12	,	,	PUNCT
alkej-778	172	13	no	no	INTJ
alkej-778	172	14	.	.	NOUN
alkej-778	172	15	2	2	NUM
alkej-778	172	16	,	,	PUNCT
alkej-778	172	17	p.p	p.p	PROPN
alkej-778	172	18	.	.	NOUN
alkej-778	172	19	2942	2942	NUM
alkej-778	172	20	(	(	PUNCT
alkej-778	172	21	2022	2022	NUM
alkej-778	172	22	)	)	PUNCT
alkej-778	172	23	38	38	NUM
alkej-778	172	24	fig	fig	NOUN
alkej-778	172	25	.	.	PUNCT
alkej-778	173	1	11	11	NUM
alkej-778	173	2	.	.	PUNCT
alkej-778	173	3	natural	natural	ADJ
alkej-778	173	4	frequency	frequency	NOUN
alkej-778	173	5	of	of	ADP
alkej-778	173	6	fifth	fifth	ADJ
alkej-778	173	7	position	position	NOUN
alkej-778	173	8	.	.	PUNCT
alkej-778	174	1	fig	fig	NOUN
alkej-778	174	2	.	.	PUNCT
alkej-778	175	1	12	12	NUM
alkej-778	175	2	.	.	PUNCT
alkej-778	175	3	natural	natural	ADJ
alkej-778	175	4	frequency	frequency	NOUN
alkej-778	175	5	of	of	ADP
alkej-778	175	6	sixth	sixth	ADJ
alkej-778	175	7	position	position	NOUN
alkej-778	175	8	.	.	PUNCT
alkej-778	176	1	in	in	ADP
alkej-778	176	2	addition	addition	NOUN
alkej-778	176	3	,	,	PUNCT
alkej-778	176	4	a	a	DET
alkej-778	176	5	comparison	comparison	NOUN
alkej-778	176	6	was	be	AUX
alkej-778	176	7	made	make	VERB
alkej-778	176	8	between	between	ADP
alkej-778	176	9	the	the	DET
alkej-778	176	10	experimental	experimental	ADJ
alkej-778	176	11	and	and	CCONJ
alkej-778	176	12	numerical	numerical	ADJ
alkej-778	176	13	sides	side	NOUN
alkej-778	176	14	,	,	PUNCT
alkej-778	176	15	and	and	CCONJ
alkej-778	176	16	a	a	DET
alkej-778	176	17	percentage	percentage	NOUN
alkej-778	176	18	difference	difference	NOUN
alkej-778	176	19	was	be	AUX
alkej-778	176	20	discovered	discover	VERB
alkej-778	176	21	,	,	PUNCT
alkej-778	176	22	which	which	PRON
alkej-778	176	23	was	be	AUX
alkej-778	176	24	close	close	ADJ
alkej-778	176	25	,	,	PUNCT
alkej-778	176	26	as	as	SCONJ
alkej-778	176	27	shown	show	VERB
alkej-778	176	28	in	in	ADP
alkej-778	176	29	table	table	NOUN
alkej-778	176	30	2	2	NUM
alkej-778	176	31	.	.	PUNCT
alkej-778	176	32	because	because	SCONJ
alkej-778	176	33	real	real	ADJ
alkej-778	176	34	values	value	NOUN
alkej-778	176	35	exist	exist	VERB
alkej-778	176	36	on	on	ADP
alkej-778	176	37	the	the	DET
alkej-778	176	38	experimental	experimental	ADJ
alkej-778	176	39	side	side	NOUN
alkej-778	176	40	and	and	CCONJ
alkej-778	176	41	are	be	AUX
alkej-778	176	42	more	more	ADV
alkej-778	176	43	dependable	dependable	ADJ
alkej-778	176	44	in	in	ADP
alkej-778	176	45	calculations	calculation	NOUN
alkej-778	176	46	and	and	CCONJ
alkej-778	176	47	comparisons	comparison	NOUN
alkej-778	176	48	,	,	PUNCT
alkej-778	176	49	there	there	PRON
alkej-778	176	50	are	be	VERB
alkej-778	176	51	values	value	NOUN
alkej-778	176	52	detected	detect	VERB
alkej-778	176	53	in	in	ADP
alkej-778	176	54	the	the	DET
alkej-778	176	55	numerical	numerical	ADJ
alkej-778	176	56	and	and	CCONJ
alkej-778	176	57	empirical	empirical	ADJ
alkej-778	176	58	aspects	aspect	NOUN
alkej-778	176	59	that	that	PRON
alkej-778	176	60	are	be	AUX
alkej-778	176	61	not	not	PART
alkej-778	176	62	found	find	VERB
alkej-778	176	63	in	in	ADP
alkej-778	176	64	the	the	DET
alkej-778	176	65	theoretical	theoretical	ADJ
alkej-778	176	66	aspect	aspect	NOUN
alkej-778	176	67	that	that	PRON
alkej-778	176	68	has	have	AUX
alkej-778	176	69	been	be	AUX
alkej-778	176	70	properly	properly	ADV
alkej-778	176	71	calculated	calculate	VERB
alkej-778	176	72	.	.	PUNCT
alkej-778	177	1	table	table	NOUN
alkej-778	177	2	2	2	NUM
alkej-778	177	3	,	,	PUNCT
alkej-778	177	4	comparing	compare	VERB
alkej-778	177	5	the	the	DET
alkej-778	177	6	natural	natural	ADJ
alkej-778	177	7	frequencies	frequency	NOUN
alkej-778	177	8	of	of	ADP
alkej-778	177	9	the	the	DET
alkej-778	177	10	shaft	shaft	NOUN
alkej-778	177	11	numerically	numerically	ADV
alkej-778	177	12	and	and	CCONJ
alkej-778	177	13	experimentally	experimentally	ADV
alkej-778	177	14	.	.	PUNCT
alkej-778	178	1	no	no	INTJ
alkej-778	178	2	.	.	PUNCT
alkej-778	179	1	of	of	ADP
alkej-778	179	2	position	position	NOUN
alkej-778	179	3	1	1	NUM
alkej-778	179	4	2	2	NUM
alkej-778	179	5	3	3	NUM
alkej-778	179	6	4	4	NUM
alkej-778	179	7	5	5	NUM
alkej-778	179	8	6	6	NUM
alkej-778	179	9	1st	1st	ADJ
alkej-778	179	10	natural	natural	ADJ
alkej-778	179	11	frequency	frequency	NOUN
alkej-778	179	12	(	(	PUNCT
alkej-778	179	13	hz	hz	PROPN
alkej-778	179	14	)	)	PUNCT
alkej-778	179	15	experimental	experimental	ADJ
alkej-778	179	16	65.013	65.013	NUM
alkej-778	179	17	59.548	59.548	NUM
alkej-778	179	18	50.835	50.835	NUM
alkej-778	179	19	20.134	20.134	NUM
alkej-778	179	20	5.536	5.536	NUM
alkej-778	179	21	5.235	5.235	NUM
alkej-778	179	22	numerical	numerical	ADJ
alkej-778	179	23	60.762	60.762	NUM
alkej-778	179	24	67.235	67.235	NUM
alkej-778	179	25	60.933	60.933	NUM
alkej-778	179	26	22.651	22.651	NUM
alkej-778	179	27	6.6278	6.6278	NUM
alkej-778	179	28	4.889	4.889	NUM
alkej-778	179	29	difference	difference	NOUN
alkej-778	179	30	%	%	NOUN
alkej-778	179	31	6.996	6.996	NUM
alkej-778	179	32	11.433	11.433	NUM
alkej-778	179	33	16.572	16.572	NUM
alkej-778	179	34	11.112	11.112	NUM
alkej-778	179	35	16.473	16.473	NUM
alkej-778	179	36	7.077	7.077	NUM
alkej-778	179	37	2nd	2nd	ADJ
alkej-778	179	38	natural	natural	ADJ
alkej-778	179	39	frequency	frequency	NOUN
alkej-778	179	40	(	(	PUNCT
alkej-778	179	41	hz	hz	PROPN
alkej-778	179	42	)	)	PUNCT
alkej-778	179	43	experimental	experimental	ADJ
alkej-778	179	44	125.845	125.845	NUM
alkej-778	179	45	155.435	155.435	NUM
alkej-778	179	46	105.735	105.735	NUM
alkej-778	179	47	93.648	93.648	NUM
alkej-778	179	48	100.153	100.153	NUM
alkej-778	179	49	35.686	35.686	NUM
alkej-778	179	50	numerical	numerical	ADJ
alkej-778	179	51	141.88	141.88	NUM
alkej-778	179	52	141.88	141.88	NUM
alkej-778	179	53	99.612	99.612	NUM
alkej-778	179	54	111.11	111.11	NUM
alkej-778	179	55	118.38	118.38	NUM
alkej-778	179	56	35.656	35.656	NUM
alkej-778	179	57	difference	difference	NOUN
alkej-778	179	58	%	%	NOUN
alkej-778	179	59	11.301	11.301	NUM
alkej-778	179	60	9.553	9.553	NUM
alkej-778	179	61	6.146	6.146	NUM
alkej-778	179	62	15.715	15.715	NUM
alkej-778	179	63	15.397	15.397	NUM
alkej-778	179	64	12.325	12.325	NUM
alkej-778	179	65	3rd	3rd	ADJ
alkej-778	179	66	natural	natural	ADJ
alkej-778	179	67	frequency	frequency	NOUN
alkej-778	179	68	(	(	PUNCT
alkej-778	179	69	hz	hz	PROPN
alkej-778	179	70	)	)	PUNCT
alkej-778	179	71	experimental	experimental	ADJ
alkej-778	179	72	200.146	200.146	NUM
alkej-778	179	73	230.233	230.233	NUM
alkej-778	179	74	155.084	155.084	NUM
alkej-778	179	75	120.875	120.875	NUM
alkej-778	179	76	130.478	130.478	NUM
alkej-778	179	77	120.235	120.235	NUM
alkej-778	179	78	numerical	numerical	ADJ
alkej-778	179	79	220.82	220.82	NUM
alkej-778	179	80	237.23	237.23	NUM
alkej-778	179	81	141.88	141.88	NUM
alkej-778	179	82	141.88	141.88	NUM
alkej-778	179	83	141.88	141.88	NUM
alkej-778	179	84	141.88	141.88	NUM
alkej-778	179	85	difference	difference	NOUN
alkej-778	179	86	%	%	NOUN
alkej-778	179	87	9.362	9.362	NUM
alkej-778	179	88	3.047	3.047	NUM
alkej-778	179	89	9.306	9.306	NUM
alkej-778	179	90	14.804	14.804	NUM
alkej-778	179	91	8.036	8.036	NUM
alkej-778	179	92	15.256	15.256	NUM
alkej-778	179	93	the	the	DET
alkej-778	179	94	first	first	ADJ
alkej-778	179	95	five	five	NUM
alkej-778	179	96	natural	natural	ADJ
alkej-778	179	97	frequencies	frequency	NOUN
alkej-778	179	98	were	be	AUX
alkej-778	179	99	compared	compare	VERB
alkej-778	179	100	in	in	ADP
alkej-778	179	101	table	table	NOUN
alkej-778	179	102	3	3	NUM
alkej-778	179	103	between	between	ADP
alkej-778	179	104	the	the	DET
alkej-778	179	105	numerical	numerical	ADJ
alkej-778	179	106	and	and	CCONJ
alkej-778	179	107	experimental	experimental	ADJ
alkej-778	179	108	sides	side	NOUN
alkej-778	179	109	using	use	VERB
alkej-778	179	110	ansys	ansys	PROPN
alkej-778	179	111	.	.	PUNCT
alkej-778	180	1	the	the	DET
alkej-778	180	2	values	value	NOUN
alkej-778	180	3	of	of	ADP
alkej-778	180	4	the	the	DET
alkej-778	180	5	initial	initial	ADJ
alkej-778	180	6	natural	natural	ADJ
alkej-778	180	7	frequencies	frequency	NOUN
alkej-778	180	8	turn	turn	VERB
alkej-778	180	9	out	out	ADP
alkej-778	180	10	to	to	PART
alkej-778	180	11	be	be	AUX
alkej-778	180	12	close	close	ADJ
alkej-778	180	13	to	to	ADP
alkej-778	180	14	a	a	DET
alkej-778	180	15	substantial	substantial	ADJ
alkej-778	180	16	extent	extent	NOUN
alkej-778	180	17	,	,	PUNCT
alkej-778	180	18	implying	imply	VERB
alkej-778	180	19	increased	increase	VERB
alkej-778	180	20	reliability	reliability	NOUN
alkej-778	180	21	.	.	PUNCT
alkej-778	181	1	karrar	karrar	NOUN
alkej-778	181	2	baher	baher	ADP
alkej-778	181	3	al	al	PROPN
alkej-778	181	4	-	-	PUNCT
alkej-778	181	5	khwarizmi	khwarizmi	PROPN
alkej-778	181	6	engineering	engineering	NOUN
alkej-778	181	7	journal	journal	PROPN
alkej-778	181	8	,	,	PUNCT
alkej-778	181	9	vol	vol	NOUN
alkej-778	181	10	.	.	PROPN
alkej-778	181	11	18	18	NUM
alkej-778	181	12	,	,	PUNCT
alkej-778	181	13	no	no	INTJ
alkej-778	181	14	.	.	NOUN
alkej-778	181	15	2	2	NUM
alkej-778	181	16	,	,	PUNCT
alkej-778	181	17	p.p	p.p	PROPN
alkej-778	181	18	.	.	NOUN
alkej-778	181	19	2942	2942	NUM
alkej-778	181	20	(	(	PUNCT
alkej-778	181	21	2022	2022	NUM
alkej-778	181	22	)	)	PUNCT
alkej-778	181	23	39	39	NUM
alkej-778	181	24	table	table	NOUN
alkej-778	181	25	3	3	NUM
alkej-778	181	26	,	,	PUNCT
alkej-778	181	27	comparison	comparison	NOUN
alkej-778	181	28	of	of	ADP
alkej-778	181	29	natural	natural	ADJ
alkej-778	181	30	frequencies	frequency	NOUN
alkej-778	181	31	experimentally	experimentally	ADV
alkej-778	181	32	and	and	CCONJ
alkej-778	181	33	numerically	numerically	ADV
alkej-778	181	34	by	by	ADP
alkej-778	181	35	ansys	ansys	PROPN
alkej-778	181	36	.	.	PUNCT
alkej-778	182	1	no	no	INTJ
alkej-778	182	2	.	.	NOUN
alkej-778	183	1	of	of	ADP
alkej-778	183	2	natural	natural	ADJ
alkej-778	183	3	frequency	frequency	NOUN
alkej-778	183	4	experimental	experimental	NOUN
alkej-778	183	5	(	(	PUNCT
alkej-778	183	6	hz	hz	PROPN
alkej-778	183	7	)	)	PUNCT
alkej-778	183	8	numerical	numerical	ADJ
alkej-778	183	9	(	(	PUNCT
alkej-778	183	10	hz	hz	PROPN
alkej-778	183	11	)	)	PUNCT
alkej-778	183	12	difference	difference	NOUN
alkej-778	183	13	%	%	NOUN
alkej-778	183	14	1st	1st	NOUN
alkej-778	184	1	65.013	65.013	NUM
alkej-778	184	2	60.762	60.762	NUM
alkej-778	184	3	6.99615	6.99615	NUM
alkej-778	184	4	2nd	2nd	NOUN
alkej-778	184	5	125.845	125.845	NUM
alkej-778	184	6	141.88	141.88	NUM
alkej-778	184	7	11.3018	11.3018	NUM
alkej-778	184	8	3rd	3rd	ADJ
alkej-778	184	9	200.246	200.246	NUM
alkej-778	185	1	220.82	220.82	NUM
alkej-778	185	2	9.31709	9.31709	NUM
alkej-778	185	3	4th	4th	ADJ
alkej-778	185	4	380.856	380.856	NUM
alkej-778	185	5	389.94	389.94	NUM
alkej-778	185	6	2.32959	2.32959	NUM
alkej-778	185	7	5th	5th	ADJ
alkej-778	185	8	440.218	440.218	NUM
alkej-778	185	9	420.77	420.77	NUM
alkej-778	185	10	4.622003	4.622003	NUM
alkej-778	185	11	when	when	SCONJ
alkej-778	185	12	the	the	DET
alkej-778	185	13	rayleigh	rayleigh	PROPN
alkej-778	185	14	and	and	CCONJ
alkej-778	185	15	dunkerley	dunkerley	NOUN
alkej-778	185	16	methods	method	NOUN
alkej-778	185	17	were	be	AUX
alkej-778	185	18	compared	compare	VERB
alkej-778	185	19	,	,	PUNCT
alkej-778	185	20	it	it	PRON
alkej-778	185	21	was	be	AUX
alkej-778	185	22	discovered	discover	VERB
alkej-778	185	23	that	that	SCONJ
alkej-778	185	24	the	the	DET
alkej-778	185	25	difference	difference	NOUN
alkej-778	185	26	between	between	ADP
alkej-778	185	27	them	they	PRON
alkej-778	185	28	was	be	AUX
alkej-778	185	29	relatively	relatively	ADV
alkej-778	185	30	minor	minor	ADJ
alkej-778	185	31	.	.	PUNCT
alkej-778	186	1	for	for	ADP
alkej-778	186	2	example	example	NOUN
alkej-778	186	3	,	,	PUNCT
alkej-778	186	4	when	when	SCONJ
alkej-778	186	5	using	use	VERB
alkej-778	186	6	7	7	NUM
alkej-778	186	7	nodes	node	NOUN
alkej-778	186	8	in	in	ADP
alkej-778	186	9	the	the	DET
alkej-778	186	10	calculations	calculation	NOUN
alkej-778	186	11	for	for	ADP
alkej-778	186	12	the	the	DET
alkej-778	186	13	two	two	NUM
alkej-778	186	14	methods	method	NOUN
alkej-778	186	15	,	,	PUNCT
alkej-778	186	16	the	the	DET
alkej-778	186	17	difference	difference	NOUN
alkej-778	186	18	reached	reach	VERB
alkej-778	186	19	3.6	3.6	NUM
alkej-778	186	20	percent	percent	NOUN
alkej-778	186	21	,	,	PUNCT
alkej-778	186	22	taking	take	VERB
alkej-778	186	23	into	into	ADP
alkej-778	186	24	account	account	NOUN
alkej-778	186	25	that	that	SCONJ
alkej-778	186	26	the	the	DET
alkej-778	186	27	rayleigh	rayleigh	PROPN
alkej-778	186	28	method	method	NOUN
alkej-778	186	29	is	be	AUX
alkej-778	186	30	lengthy	lengthy	ADJ
alkej-778	186	31	in	in	ADP
alkej-778	186	32	the	the	DET
alkej-778	186	33	solution	solution	NOUN
alkej-778	186	34	because	because	SCONJ
alkej-778	186	35	it	it	PRON
alkej-778	186	36	requires	require	VERB
alkej-778	186	37	25	25	NUM
alkej-778	186	38	flexibility	flexibility	NOUN
alkej-778	186	39	values	value	NOUN
alkej-778	186	40	,	,	PUNCT
alkej-778	186	41	whereas	whereas	SCONJ
alkej-778	186	42	the	the	DET
alkej-778	186	43	dunkerley	dunkerley	NOUN
alkej-778	186	44	method	method	NOUN
alkej-778	186	45	requires	require	VERB
alkej-778	186	46	only	only	ADV
alkej-778	186	47	5	5	NUM
alkej-778	186	48	flexibility	flexibility	NOUN
alkej-778	186	49	values	value	NOUN
alkej-778	186	50	.	.	PUNCT
alkej-778	187	1	bear	bear	VERB
alkej-778	187	2	in	in	ADP
alkej-778	187	3	mind	mind	NOUN
alkej-778	187	4	that	that	SCONJ
alkej-778	187	5	the	the	DET
alkej-778	187	6	time	time	NOUN
alkej-778	187	7	at	at	ADP
alkej-778	187	8	once	once	ADV
alkej-778	187	9	is	be	AUX
alkej-778	187	10	much	much	ADV
alkej-778	187	11	less	less	ADJ
alkej-778	187	12	than	than	ADP
alkej-778	187	13	the	the	DET
alkej-778	187	14	rayleigh	rayleigh	PROPN
alkej-778	187	15	method	method	NOUN
alkej-778	187	16	.	.	PUNCT
alkej-778	188	1	this	this	PRON
alkej-778	188	2	saves	save	VERB
alkej-778	188	3	effort	effort	NOUN
alkej-778	188	4	in	in	ADP
alkej-778	188	5	the	the	DET
alkej-778	188	6	calculations	calculation	NOUN
alkej-778	188	7	and	and	CCONJ
alkej-778	188	8	is	be	AUX
alkej-778	188	9	important	important	ADJ
alkej-778	188	10	in	in	ADP
alkej-778	188	11	factories	factory	NOUN
alkej-778	188	12	if	if	SCONJ
alkej-778	188	13	productivity	productivity	NOUN
alkej-778	188	14	is	be	AUX
alkej-778	188	15	important	important	ADJ
alkej-778	188	16	.	.	PUNCT
alkej-778	189	1	5	5	X
alkej-778	189	2	.	.	X
alkej-778	189	3	conclusions	conclusion	NOUN
alkej-778	189	4	the	the	DET
alkej-778	189	5	rayleigh	rayleigh	PROPN
alkej-778	189	6	and	and	CCONJ
alkej-778	189	7	dunkerley	dunkerley	NOUN
alkej-778	189	8	procedures	procedure	NOUN
alkej-778	189	9	for	for	ADP
alkej-778	189	10	four	four	NUM
alkej-778	189	11	states	state	NOUN
alkej-778	189	12	of	of	ADP
alkej-778	189	13	nodes	node	NOUN
alkej-778	189	14	of	of	ADP
alkej-778	189	15	a	a	DET
alkej-778	189	16	uniform	uniform	ADJ
alkej-778	189	17	shaft	shaft	NOUN
alkej-778	189	18	,	,	PUNCT
alkej-778	189	19	which	which	PRON
alkej-778	189	20	are	be	AUX
alkej-778	189	21	used	use	VERB
alkej-778	189	22	to	to	PART
alkej-778	189	23	determine	determine	VERB
alkej-778	189	24	the	the	DET
alkej-778	189	25	vibrations	vibration	NOUN
alkej-778	189	26	of	of	ADP
alkej-778	189	27	rotating	rotate	VERB
alkej-778	189	28	shafts	shaft	NOUN
alkej-778	189	29	,	,	PUNCT
alkej-778	189	30	have	have	AUX
alkej-778	189	31	all	all	PRON
alkej-778	189	32	been	be	AUX
alkej-778	189	33	thoroughly	thoroughly	ADV
alkej-778	189	34	researched	research	VERB
alkej-778	189	35	.	.	PUNCT
alkej-778	190	1	through	through	ADP
alkej-778	190	2	this	this	DET
alkej-778	190	3	study	study	NOUN
alkej-778	190	4	,	,	PUNCT
alkej-778	190	5	the	the	DET
alkej-778	190	6	following	follow	VERB
alkej-778	190	7	conclusions	conclusion	NOUN
alkej-778	190	8	were	be	AUX
alkej-778	190	9	obtained	obtain	VERB
alkej-778	190	10	:	:	PUNCT
alkej-778	190	11	1by	1by	ADV
alkej-778	190	12	using	use	VERB
alkej-778	190	13	a	a	DET
alkej-778	190	14	number	number	NOUN
alkej-778	190	15	of	of	ADP
alkej-778	190	16	nodes	node	NOUN
alkej-778	190	17	to	to	PART
alkej-778	190	18	calculate	calculate	VERB
alkej-778	190	19	the	the	DET
alkej-778	190	20	values	value	NOUN
alkej-778	190	21	of	of	ADP
alkej-778	190	22	the	the	DET
alkej-778	190	23	natural	natural	ADJ
alkej-778	190	24	frequencies	frequency	NOUN
alkej-778	190	25	of	of	ADP
alkej-778	190	26	rayleigh	rayleigh	PROPN
alkej-778	190	27	’s	’s	PROPN
alkej-778	190	28	and	and	CCONJ
alkej-778	190	29	dunkerley	dunkerley	NOUN
alkej-778	190	30	's	's	PART
alkej-778	190	31	methods	method	NOUN
alkej-778	190	32	,	,	PUNCT
alkej-778	190	33	it	it	PRON
alkej-778	190	34	was	be	AUX
alkej-778	190	35	found	find	VERB
alkej-778	190	36	that	that	SCONJ
alkej-778	190	37	there	there	PRON
alkej-778	190	38	is	be	VERB
alkej-778	190	39	convergence	convergence	NOUN
alkej-778	190	40	in	in	ADP
alkej-778	190	41	the	the	DET
alkej-778	190	42	results	result	NOUN
alkej-778	190	43	between	between	ADP
alkej-778	190	44	the	the	DET
alkej-778	190	45	two	two	NUM
alkej-778	190	46	methods	method	NOUN
alkej-778	190	47	,	,	PUNCT
alkej-778	190	48	as	as	ADP
alkej-778	190	49	the	the	PRON
alkej-778	190	50	greater	great	ADJ
alkej-778	190	51	the	the	DET
alkej-778	190	52	number	number	NOUN
alkej-778	190	53	of	of	ADP
alkej-778	190	54	nodes	node	NOUN
alkej-778	190	55	,	,	PUNCT
alkej-778	190	56	the	the	PRON
alkej-778	190	57	greater	great	ADJ
alkej-778	190	58	the	the	DET
alkej-778	190	59	accuracy	accuracy	NOUN
alkej-778	190	60	and	and	CCONJ
alkej-778	190	61	the	the	DET
alkej-778	190	62	more	more	ADJ
alkej-778	190	63	convergence	convergence	NOUN
alkej-778	190	64	in	in	ADP
alkej-778	190	65	the	the	DET
alkej-778	190	66	results	result	NOUN
alkej-778	190	67	between	between	ADP
alkej-778	190	68	the	the	DET
alkej-778	190	69	two	two	NUM
alkej-778	190	70	methods	method	NOUN
alkej-778	190	71	.	.	PUNCT
alkej-778	191	1	2the	2the	NUM
alkej-778	191	2	most	most	ADV
alkej-778	191	3	suitable	suitable	ADJ
alkej-778	191	4	application	application	NOUN
alkej-778	191	5	method	method	NOUN
alkej-778	191	6	was	be	AUX
alkej-778	191	7	determined	determine	VERB
alkej-778	191	8	to	to	PART
alkej-778	191	9	be	be	AUX
alkej-778	191	10	the	the	DET
alkej-778	191	11	dunkerley	dunkerley	NOUN
alkej-778	191	12	approach	approach	NOUN
alkej-778	191	13	,	,	PUNCT
alkej-778	191	14	which	which	PRON
alkej-778	191	15	is	be	AUX
alkej-778	191	16	close	close	ADJ
alkej-778	191	17	in	in	ADP
alkej-778	191	18	results	result	NOUN
alkej-778	191	19	to	to	ADP
alkej-778	191	20	the	the	DET
alkej-778	191	21	accurate	accurate	ADJ
alkej-778	191	22	method	method	NOUN
alkej-778	191	23	,	,	PUNCT
alkej-778	191	24	with	with	ADP
alkej-778	191	25	a	a	DET
alkej-778	191	26	little	little	ADJ
alkej-778	191	27	variation	variation	NOUN
alkej-778	191	28	from	from	ADP
alkej-778	191	29	the	the	DET
alkej-778	191	30	rayleigh	rayleigh	PROPN
alkej-778	191	31	method	method	NOUN
alkej-778	191	32	of	of	ADP
alkej-778	191	33	less	less	ADJ
alkej-778	191	34	than	than	ADP
alkej-778	191	35	4	4	NUM
alkej-778	191	36	%	%	NOUN
alkej-778	191	37	.	.	PUNCT
alkej-778	192	1	3the	3the	DET
alkej-778	192	2	value	value	NOUN
alkej-778	192	3	of	of	ADP
alkej-778	192	4	the	the	DET
alkej-778	192	5	natural	natural	ADJ
alkej-778	192	6	frequencies	frequency	NOUN
alkej-778	192	7	reduces	reduce	VERB
alkej-778	192	8	as	as	ADP
alkej-778	192	9	the	the	DET
alkej-778	192	10	distance	distance	NOUN
alkej-778	192	11	between	between	ADP
alkej-778	192	12	the	the	DET
alkej-778	192	13	supporting	support	VERB
alkej-778	192	14	bearings	bearing	NOUN
alkej-778	192	15	of	of	ADP
alkej-778	192	16	the	the	DET
alkej-778	192	17	rotating	rotate	VERB
alkej-778	192	18	shafts	shafts	ADJ
alkej-778	192	19	decreases	decrease	NOUN
alkej-778	192	20	.	.	PUNCT
alkej-778	193	1	this	this	DET
alkej-778	193	2	result	result	NOUN
alkej-778	193	3	was	be	AUX
alkej-778	193	4	tested	test	VERB
alkej-778	193	5	and	and	CCONJ
alkej-778	193	6	confirmed	confirm	VERB
alkej-778	193	7	in	in	ADP
alkej-778	193	8	six	six	NUM
alkej-778	193	9	different	different	ADJ
alkej-778	193	10	positions	position	NOUN
alkej-778	193	11	for	for	ADP
alkej-778	193	12	bearings	bearing	NOUN
alkej-778	193	13	.	.	PUNCT
alkej-778	194	1	4when	4when	ADV
alkej-778	194	2	comparing	compare	VERB
alkej-778	194	3	experimental	experimental	ADJ
alkej-778	194	4	and	and	CCONJ
alkej-778	194	5	numerical	numerical	ADJ
alkej-778	194	6	data	datum	NOUN
alkej-778	194	7	,	,	PUNCT
alkej-778	194	8	it	it	PRON
alkej-778	194	9	was	be	AUX
alkej-778	194	10	discovered	discover	VERB
alkej-778	194	11	that	that	SCONJ
alkej-778	194	12	the	the	DET
alkej-778	194	13	difference	difference	NOUN
alkej-778	194	14	in	in	ADP
alkej-778	194	15	findings	finding	NOUN
alkej-778	194	16	did	do	AUX
alkej-778	194	17	not	not	PART
alkej-778	194	18	surpass	surpass	VERB
alkej-778	194	19	20	20	NUM
alkej-778	194	20	%	%	NOUN
alkej-778	194	21	.	.	PUNCT
alkej-778	195	1	this	this	PRON
alkej-778	195	2	indicates	indicate	VERB
alkej-778	195	3	that	that	SCONJ
alkej-778	195	4	the	the	DET
alkej-778	195	5	values	value	NOUN
alkej-778	195	6	were	be	AUX
alkej-778	195	7	converging	converge	VERB
alkej-778	195	8	and	and	CCONJ
alkej-778	195	9	the	the	DET
alkej-778	195	10	results	result	NOUN
alkej-778	195	11	were	be	AUX
alkej-778	195	12	accurate	accurate	ADJ
alkej-778	195	13	.	.	PUNCT
alkej-778	196	1	5the	5the	DET
alkej-778	196	2	amplitude	amplitude	NOUN
alkej-778	196	3	of	of	ADP
alkej-778	196	4	the	the	DET
alkej-778	196	5	vibrations	vibration	NOUN
alkej-778	196	6	generated	generate	VERB
alkej-778	196	7	in	in	ADP
alkej-778	196	8	the	the	DET
alkej-778	196	9	system	system	NOUN
alkej-778	196	10	increases	increase	VERB
alkej-778	196	11	as	as	ADP
alkej-778	196	12	the	the	DET
alkej-778	196	13	spinning	spin	VERB
alkej-778	196	14	shaft	shaft	NOUN
alkej-778	196	15	's	's	PART
alkej-778	196	16	speed	speed	NOUN
alkej-778	196	17	increases	increase	NOUN
alkej-778	196	18	.	.	PUNCT
alkej-778	197	1	it	it	PRON
alkej-778	197	2	can	can	AUX
alkej-778	197	3	be	be	AUX
alkej-778	197	4	shown	show	VERB
alkej-778	197	5	that	that	SCONJ
alkej-778	197	6	if	if	SCONJ
alkej-778	197	7	the	the	DET
alkej-778	197	8	rotational	rotational	ADJ
alkej-778	197	9	speed	speed	NOUN
alkej-778	197	10	is	be	AUX
alkej-778	197	11	kept	keep	VERB
alkej-778	197	12	low	low	ADJ
alkej-778	197	13	,	,	PUNCT
alkej-778	197	14	the	the	DET
alkej-778	197	15	system	system	NOUN
alkej-778	197	16	becomes	become	VERB
alkej-778	197	17	more	more	ADV
alkej-778	197	18	stable	stable	ADJ
alkej-778	197	19	because	because	SCONJ
alkej-778	197	20	the	the	DET
alkej-778	197	21	critical	critical	ADJ
alkej-778	197	22	speeds	speed	NOUN
alkej-778	197	23	are	be	AUX
alkej-778	197	24	avoided	avoid	VERB
alkej-778	197	25	.	.	PUNCT
alkej-778	198	1	list	list	NOUN
alkej-778	198	2	of	of	ADP
alkej-778	198	3	symbols	symbols	PROPN
alkej-778	198	4	vw	vw	PROPN
alkej-778	198	5	cross	cross	PROPN
alkej-778	198	6	sectional	sectional	ADJ
alkej-778	198	7	area	area	NOUN
alkej-778	198	8	at	at	ADP
alkej-778	198	9	node	node	PROPN
alkej-778	198	10	�	�	PROPN
alkej-778	198	11	�	�	PROPN
alkej-778	198	12	#	#	SYM
alkej-778	198	13	�	�	PROPN
alkej-778	198	14	vxy	vxy	VERB
alkej-778	198	15	cross	cross	ADJ
alkej-778	198	16	sectional	sectional	ADJ
alkej-778	198	17	area	area	NOUN
alkej-778	198	18	of	of	ADP
alkej-778	198	19	first	first	ADJ
alkej-778	198	20	element	element	NOUN
alkej-778	198	21	�	�	PROPN
alkej-778	198	22	#	#	SYM
alkej-778	198	23	�	�	PROPN
alkej-778	198	24	vzy	vzy	NOUN
alkej-778	198	25	cross	cross	VERB
alkej-778	198	26	sectional	sectional	ADJ
alkej-778	198	27	area	area	NOUN
alkej-778	198	28	of	of	ADP
alkej-778	198	29	last	last	ADJ
alkej-778	198	30	element	element	NOUN
alkej-778	198	31	�	�	PROPN
alkej-778	198	32	#	#	SYM
alkej-778	198	33	�	�	PROPN
alkej-778	198	34	[	[	PUNCT
alkej-778	198	35	diameter	diameter	NOUN
alkej-778	198	36	(	(	PUNCT
alkej-778	198	37	m	m	NOUN
alkej-778	198	38	)	)	PUNCT
alkej-778	198	39	\	\	PROPN
alkej-778	198	40	young	young	PROPN
alkej-778	198	41	’s	’s	PART
alkej-778	198	42	modulus	modulus	NOUN
alkej-778	198	43	(	(	PUNCT
alkej-778	198	44	pa	pa	PROPN
alkej-778	198	45	)	)	PUNCT
alkej-778	198	46	]	]	PUNCT
alkej-778	198	47	,	,	PUNCT
alkej-778	198	48	x	x	SYM
alkej-778	198	49	force	force	NOUN
alkej-778	198	50	(	(	PUNCT
alkej-778	198	51	^	^	NOUN
alkej-778	198	52	)	)	PUNCT
alkej-778	198	53	(	(	PUNCT
alkej-778	198	54	]	]	PUNCT
alkej-778	198	55	*	*	PUNCT
alkej-778	198	56	force	force	NOUN
alkej-778	198	57	vector	vector	NOUN
alkej-778	198	58	matrix	matrix	NOUN
alkej-778	198	59	(	(	PUNCT
alkej-778	198	60	^	^	NOUN
alkej-778	198	61	)	)	PUNCT
alkej-778	198	62	_	_	PUNCT
alkej-778	198	63	gravitational	gravitational	ADJ
alkej-778	198	64	acceleration	acceleration	NOUN
alkej-778	198	65	�	�	PROPN
alkej-778	198	66	∕	∕	PUNCT
alkej-778	198	67	`	`	PUNCT
alkej-778	198	68	#	#	SYM
alkej-778	198	69	�	�	PROPN
alkej-778	198	70	aw	aw	INTJ
alkej-778	198	71	area	area	NOUN
alkej-778	198	72	moment	moment	NOUN
alkej-778	198	73	of	of	ADP
alkej-778	198	74	inertia	inertia	NOUN
alkej-778	198	75	for	for	ADP
alkej-778	198	76	the	the	DET
alkej-778	198	77	uniform	uniform	ADJ
alkej-778	198	78	solid	solid	ADJ
alkej-778	198	79	beam	beam	NOUN
alkej-778	198	80	(	(	PUNCT
alkej-778	198	81	�	�	PROPN
alkej-778	198	82	)	)	PUNCT
alkej-778	198	83	$	$	SYM
alkej-778	198	84	a	a	PROPN
alkej-778	198	85	&	&	CCONJ
alkej-778	198	86	unit	unit	NOUN
alkej-778	198	87	matrix	matrix	NOUN
alkej-778	198	88	b	b	ADP
alkej-778	198	89	stiffness	stiffness	ADJ
alkej-778	198	90	coefficient	coefficient	NOUN
alkej-778	198	91	(	(	PUNCT
alkej-778	198	92	n	n	CCONJ
alkej-778	198	93	/	/	SYM
alkej-778	198	94	m	m	NOUN
alkej-778	198	95	)	)	PUNCT
alkej-778	198	96	$	$	SYM
alkej-778	198	97	b	b	NOUN
alkej-778	198	98	&	&	CCONJ
alkej-778	198	99	stiffness	stiffness	ADJ
alkej-778	198	100	matrix	matrix	NOUN
alkej-778	198	101	(	(	PUNCT
alkej-778	198	102	n	n	CCONJ
alkej-778	198	103	/	/	SYM
alkej-778	198	104	m	m	NOUN
alkej-778	198	105	)	)	PUNCT
alkej-778	198	106	b.	b.	PROPN
alkej-778	199	1	c	c	PROPN
alkej-778	199	2	maximum	maximum	PROPN
alkej-778	199	3	kinetic	kinetic	ADJ
alkej-778	199	4	energy	energy	NOUN
alkej-778	199	5	(	(	PUNCT
alkej-778	199	6	j	j	NOUN
alkej-778	199	7	)	)	PUNCT
alkej-778	199	8	dw	dw	PROPN
alkej-778	199	9	length	length	NOUN
alkej-778	199	10	of	of	ADP
alkej-778	199	11	element	element	NOUN
alkej-778	199	12	at	at	ADP
alkej-778	199	13	node	node	PROPN
alkej-778	199	14	i	i	PROPN
alkej-778	199	15	(	(	PUNCT
alkej-778	199	16	m	m	NOUN
alkej-778	199	17	)	)	PUNCT
alkej-778	200	1	dxy	dxy	PROPN
alkej-778	200	2	length	length	NOUN
alkej-778	200	3	of	of	ADP
alkej-778	200	4	first	first	ADJ
alkej-778	200	5	element	element	NOUN
alkej-778	200	6	(	(	PUNCT
alkej-778	200	7	m	m	NOUN
alkej-778	200	8	)	)	PUNCT
alkej-778	200	9	dzy	dzy	ADJ
alkej-778	200	10	length	length	NOUN
alkej-778	200	11	of	of	ADP
alkej-778	200	12	last	last	ADJ
alkej-778	200	13	element	element	NOUN
alkej-778	200	14	(	(	PUNCT
alkej-778	200	15	m	m	NOUN
alkej-778	200	16	)	)	PUNCT
alkej-778	200	17	d	d	NOUN
alkej-778	200	18	length	length	NOUN
alkej-778	200	19	of	of	ADP
alkej-778	200	20	shaft	shaft	NOUN
alkej-778	200	21	(	(	PUNCT
alkej-778	200	22	m	m	NOUN
alkej-778	200	23	)	)	PUNCT
alkej-778	200	24	ew	ew	VERB
alkej-778	200	25	ith	ith	PROPN
alkej-778	200	26	mass	mass	NOUN
alkej-778	200	27	of	of	ADP
alkej-778	200	28	nodes	node	NOUN
alkej-778	200	29	(	(	PUNCT
alkej-778	200	30	kg	kg	NOUN
alkej-778	200	31	)	)	PUNCT
alkej-778	200	32	exy	exy	ADJ
alkej-778	200	33	mass	mass	NOUN
alkej-778	200	34	of	of	ADP
alkej-778	200	35	first	first	ADJ
alkej-778	200	36	node	node	NOUN
alkej-778	200	37	(	(	PUNCT
alkej-778	200	38	kg	kg	NOUN
alkej-778	200	39	)	)	PUNCT
alkej-778	200	40	ezy	ezy	PROPN
alkej-778	200	41	mass	mass	NOUN
alkej-778	200	42	of	of	ADP
alkej-778	200	43	last	last	ADJ
alkej-778	200	44	node	node	NOUN
alkej-778	200	45	(	(	PUNCT
alkej-778	200	46	kg	kg	NOUN
alkej-778	200	47	)	)	PUNCT
alkej-778	200	48	f	f	NOUN
alkej-778	200	49	,	,	PUNCT
alkej-778	200	50	e	e	X
alkej-778	200	51	mass	mass	X
alkej-778	200	52	(	(	PUNCT
alkej-778	200	53	kg	kg	NOUN
alkej-778	200	54	)	)	PUNCT
alkej-778	200	55	$	$	SYM
alkej-778	200	56	f	f	PROPN
alkej-778	200	57	&	&	CCONJ
alkej-778	200	58	,	,	PUNCT
alkej-778	200	59	$	$	SYM
alkej-778	200	60	e	e	NOUN
alkej-778	200	61	&	&	CCONJ
alkej-778	200	62	mass	mass	ADJ
alkej-778	200	63	matrix	matrix	NOUN
alkej-778	200	64	(	(	PUNCT
alkej-778	200	65	kg	kg	NOUN
alkej-778	200	66	)	)	PUNCT
alkej-778	200	67	g	g	NOUN
alkej-778	200	68	volume	volume	NOUN
alkej-778	200	69	(	(	PUNCT
alkej-778	200	70	�	�	PROPN
alkej-778	200	71	<	<	NOUN
alkej-778	200	72	)	)	PUNCT
alkej-778	200	73	heij	heij	VERB
alkej-778	200	74	maximum	maximum	ADJ
alkej-778	200	75	potential	potential	ADJ
alkej-778	200	76	energy	energy	NOUN
alkej-778	200	77	(	(	PUNCT
alkej-778	200	78	j	j	NOUN
alkej-778	200	79	)	)	PUNCT
alkej-778	200	80	k	k	PROPN
alkej-778	200	81	weight	weight	NOUN
alkej-778	200	82	force	force	NOUN
alkej-778	200	83	applied	apply	VERB
alkej-778	200	84	to	to	ADP
alkej-778	200	85	the	the	DET
alkej-778	200	86	beam	beam	NOUN
alkej-778	200	87	(	(	PUNCT
alkej-778	200	88	^	^	NOUN
alkej-778	200	89	)	)	PUNCT
alkej-778	200	90	l	l	NOUN
alkej-778	200	91	natural	natural	ADJ
alkej-778	200	92	frequency	frequency	NOUN
alkej-778	200	93	(	(	PUNCT
alkej-778	200	94	rad	rad	PROPN
alkej-778	200	95	/	/	SYM
alkej-778	200	96	s	s	PART
alkej-778	200	97	)	)	PUNCT
alkej-778	200	98	m	m	VERB
alkej-778	200	99	deflection	deflection	NOUN
alkej-778	200	100	of	of	ADP
alkej-778	200	101	beams	beam	NOUN
alkej-778	200	102	(	(	PUNCT
alkej-778	200	103	m	m	NOUN
alkej-778	200	104	)	)	PUNCT
alkej-778	200	105	(	(	PUNCT
alkej-778	200	106	m	m	NOUN
alkej-778	200	107	*	*	VERB
alkej-778	200	108	deflection	deflection	NOUN
alkej-778	200	109	of	of	ADP
alkej-778	200	110	beams	beam	NOUN
alkej-778	200	111	vector	vector	NOUN
alkej-778	200	112	matrix	matrix	NOUN
alkej-778	200	113	(	(	PUNCT
alkej-778	200	114	m	m	NOUN
alkej-778	200	115	)	)	PUNCT
alkej-778	201	1	n	n	NOUN
alkej-778	201	2	flexibility	flexibility	NOUN
alkej-778	201	3	influence	influence	NOUN
alkej-778	201	4	coefficient	coefficient	NOUN
alkej-778	201	5	(	(	PUNCT
alkej-778	201	6	m	m	NOUN
alkej-778	201	7	/	/	SYM
alkej-778	201	8	n	n	CCONJ
alkej-778	201	9	)	)	PUNCT
alkej-778	201	10	$	$	SYM
alkej-778	201	11	n	n	NOUN
alkej-778	201	12	&	&	CCONJ
alkej-778	201	13	influence	influence	PROPN
alkej-778	201	14	coefficient	coefficient	NOUN
alkej-778	201	15	matrix	matrix	NOUN
alkej-778	201	16	(	(	PUNCT
alkej-778	201	17	m	m	NOUN
alkej-778	201	18	/	/	SYM
alkej-778	201	19	n	n	CCONJ
alkej-778	201	20	)	)	PUNCT
alkej-778	201	21	o	o	NOUN
alkej-778	201	22	mass	mass	NOUN
alkej-778	201	23	density	density	NOUN
alkej-778	201	24	(=	(=	NOUN
alkej-778	201	25	l	l	NOUN
alkej-778	201	26	∕	∕	PROPN
alkej-778	201	27	�	�	PROPN
alkej-778	201	28	<	<	NOUN
alkej-778	201	29	)	)	PUNCT
alkej-778	201	30	karrar	karrar	NOUN
alkej-778	201	31	baher	baher	CCONJ
alkej-778	201	32	al	al	PROPN
alkej-778	201	33	-	-	PUNCT
alkej-778	201	34	khwarizmi	khwarizmi	PROPN
alkej-778	201	35	engineering	engineering	NOUN
alkej-778	201	36	journal	journal	PROPN
alkej-778	201	37	,	,	PUNCT
alkej-778	201	38	vol	vol	NOUN
alkej-778	201	39	.	.	PROPN
alkej-778	201	40	18	18	NUM
alkej-778	201	41	,	,	PUNCT
alkej-778	201	42	no	no	INTJ
alkej-778	201	43	.	.	NOUN
alkej-778	201	44	2	2	NUM
alkej-778	201	45	,	,	PUNCT
alkej-778	201	46	p.p	p.p	PROPN
alkej-778	201	47	.	.	NOUN
alkej-778	201	48	2942	2942	NUM
alkej-778	201	49	(	(	PUNCT
alkej-778	201	50	2022	2022	NUM
alkej-778	201	51	)	)	PUNCT
alkej-778	201	52	40	40	NUM
alkej-778	201	53	6	6	NUM
alkej-778	201	54	.	.	PUNCT
alkej-778	202	1	references	reference	NOUN
alkej-778	202	2	[	[	X
alkej-778	202	3	1	1	X
alkej-778	202	4	]	]	PUNCT
alkej-778	202	5	j.	j.	PROPN
alkej-778	202	6	m.	m.	PROPN
alkej-778	202	7	vance	vance	PROPN
alkej-778	202	8	,	,	PUNCT
alkej-778	202	9	f.	f.	PROPN
alkej-778	202	10	y.	y.	PROPN
alkej-778	202	11	zeidan	zeidan	PROPN
alkej-778	202	12	,	,	PUNCT
alkej-778	202	13	and	and	CCONJ
alkej-778	202	14	b.	b.	PROPN
alkej-778	202	15	g.	g.	PROPN
alkej-778	202	16	murphy	murphy	PROPN
alkej-778	202	17	,	,	PUNCT
alkej-778	202	18	machinery	machinery	NOUN
alkej-778	202	19	vibration	vibration	NOUN
alkej-778	202	20	and	and	CCONJ
alkej-778	202	21	rotordynamics	rotordynamic	NOUN
alkej-778	202	22	.	.	PUNCT
alkej-778	203	1	john	john	PROPN
alkej-778	203	2	wiley	wiley	PROPN
alkej-778	203	3	&	&	CCONJ
alkej-778	203	4	sons	son	NOUN
alkej-778	203	5	,	,	PUNCT
alkej-778	203	6	2010	2010	NUM
alkej-778	203	7	.	.	PUNCT
alkej-778	204	1	[	[	X
alkej-778	204	2	2	2	NUM
alkej-778	204	3	]	]	PUNCT
alkej-778	204	4	f.	f.	PROPN
alkej-778	204	5	m.	m.	PROPN
alkej-778	204	6	a.	a.	PROPN
alkej-778	204	7	el	el	PROPN
alkej-778	204	8	-	-	PUNCT
alkej-778	204	9	saeidy	saeidy	VERB
alkej-778	204	10	and	and	CCONJ
alkej-778	204	11	f.	f.	PROPN
alkej-778	204	12	sticher	sticher	PROPN
alkej-778	204	13	,	,	PUNCT
alkej-778	204	14	"	"	PUNCT
alkej-778	204	15	dynamics	dynamic	NOUN
alkej-778	204	16	of	of	ADP
alkej-778	204	17	a	a	DET
alkej-778	204	18	rigid	rigid	ADJ
alkej-778	204	19	rotor	rotor	NOUN
alkej-778	204	20	linear	linear	ADJ
alkej-778	204	21	/	/	SYM
alkej-778	204	22	nonlinear	nonlinear	ADJ
alkej-778	204	23	bearings	bearing	NOUN
alkej-778	204	24	system	system	NOUN
alkej-778	204	25	subject	subject	ADJ
alkej-778	204	26	to	to	ADP
alkej-778	204	27	rotating	rotate	VERB
alkej-778	204	28	unbalance	unbalance	NOUN
alkej-778	204	29	and	and	CCONJ
alkej-778	204	30	base	base	NOUN
alkej-778	204	31	excitations	excitation	NOUN
alkej-778	204	32	,	,	PUNCT
alkej-778	204	33	"	"	PUNCT
alkej-778	204	34	journal	journal	NOUN
alkej-778	204	35	of	of	ADP
alkej-778	204	36	vibration	vibration	NOUN
alkej-778	204	37	and	and	CCONJ
alkej-778	204	38	control	control	NOUN
alkej-778	204	39	,	,	PUNCT
alkej-778	204	40	vol	vol	NOUN
alkej-778	204	41	.	.	PROPN
alkej-778	205	1	16	16	NUM
alkej-778	205	2	,	,	PUNCT
alkej-778	205	3	no	no	INTJ
alkej-778	205	4	.	.	NOUN
alkej-778	205	5	3	3	NUM
alkej-778	205	6	,	,	PUNCT
alkej-778	205	7	pp	pp	ADJ
alkej-778	205	8	.	.	PUNCT
alkej-778	206	1	403	403	NUM
alkej-778	206	2	-	-	SYM
alkej-778	206	3	438	438	NUM
alkej-778	206	4	,	,	PUNCT
alkej-778	206	5	2009	2009	NUM
alkej-778	206	6	,	,	PUNCT
alkej-778	206	7	doi	doi	NOUN
alkej-778	206	8	:	:	PUNCT
alkej-778	206	9	10.1177/1077546309103565	10.1177/1077546309103565	NUM
alkej-778	206	10	.	.	PUNCT
alkej-778	207	1	[	[	X
alkej-778	207	2	3	3	NUM
alkej-778	207	3	]	]	PUNCT
alkej-778	207	4	a.	a.	NOUN
alkej-778	207	5	h.	h.	PROPN
alkej-778	207	6	haslam	haslam	PROPN
alkej-778	207	7	,	,	PUNCT
alkej-778	207	8	c.	c.	PROPN
alkej-778	207	9	w.	w.	PROPN
alkej-778	207	10	schwingshackl	schwingshackl	PROPN
alkej-778	207	11	,	,	PUNCT
alkej-778	207	12	and	and	CCONJ
alkej-778	207	13	a.	a.	PROPN
alkej-778	207	14	i.	i.	PROPN
alkej-778	207	15	j.	j.	PROPN
alkej-778	207	16	rix	rix	PROPN
alkej-778	207	17	,	,	PUNCT
alkej-778	207	18	"	"	PUNCT
alkej-778	207	19	a	a	DET
alkej-778	207	20	parametric	parametric	ADJ
alkej-778	207	21	study	study	NOUN
alkej-778	207	22	of	of	ADP
alkej-778	207	23	an	an	DET
alkej-778	207	24	unbalanced	unbalanced	ADJ
alkej-778	207	25	jeffcott	jeffcott	ADJ
alkej-778	207	26	rotor	rotor	NOUN
alkej-778	207	27	supported	support	VERB
alkej-778	207	28	by	by	ADP
alkej-778	207	29	a	a	DET
alkej-778	207	30	rolling	rolling	ADJ
alkej-778	207	31	-	-	PUNCT
alkej-778	207	32	element	element	NOUN
alkej-778	207	33	bearing	bearing	NOUN
alkej-778	207	34	,	,	PUNCT
alkej-778	207	35	"	"	PUNCT
alkej-778	207	36	nonlinear	nonlinear	ADJ
alkej-778	207	37	dynamics	dynamic	NOUN
alkej-778	207	38	,	,	PUNCT
alkej-778	207	39	vol	vol	NOUN
alkej-778	207	40	.	.	PROPN
alkej-778	207	41	99	99	NUM
alkej-778	207	42	,	,	PUNCT
alkej-778	207	43	no	no	INTJ
alkej-778	207	44	.	.	NOUN
alkej-778	207	45	4	4	NUM
alkej-778	207	46	,	,	PUNCT
alkej-778	207	47	pp	pp	ADJ
alkej-778	207	48	.	.	PUNCT
alkej-778	207	49	2571	2571	NUM
alkej-778	207	50	-	-	SYM
alkej-778	207	51	2604	2604	NUM
alkej-778	207	52	,	,	PUNCT
alkej-778	207	53	2020	2020	NUM
alkej-778	207	54	,	,	PUNCT
alkej-778	207	55	doi	doi	NOUN
alkej-778	207	56	:	:	PUNCT
alkej-778	207	57	10.1007	10.1007	NUM
alkej-778	207	58	/	/	SYM
alkej-778	207	59	s11071	s11071	PROPN
alkej-778	207	60	-	-	PUNCT
alkej-778	207	61	020	020	NUM
alkej-778	207	62	-	-	PUNCT
alkej-778	207	63	05470	05470	NUM
alkej-778	207	64	-	-	PUNCT
alkej-778	207	65	4	4	NUM
alkej-778	207	66	.	.	PUNCT
alkej-778	208	1	[	[	X
alkej-778	208	2	4	4	NUM
alkej-778	208	3	]	]	PUNCT
alkej-778	208	4	a.	a.	NOUN
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alkej-778	208	7	s.	s.	PROPN
alkej-778	208	8	shivakumar	shivakumar	PROPN
alkej-778	208	9	,	,	PUNCT
alkej-778	208	10	"	"	PUNCT
alkej-778	208	11	vibration	vibration	NOUN
alkej-778	208	12	analysis	analysis	NOUN
alkej-778	208	13	techniques	technique	NOUN
alkej-778	208	14	for	for	ADP
alkej-778	208	15	rotating	rotate	VERB
alkej-778	208	16	machinery	machinery	NOUN
alkej-778	208	17	and	and	CCONJ
alkej-778	208	18	its	its	PRON
alkej-778	208	19	effect	effect	NOUN
alkej-778	208	20	on	on	ADP
alkej-778	208	21	bearing	bear	VERB
alkej-778	208	22	faults	fault	NOUN
alkej-778	208	23	,	,	PUNCT
alkej-778	208	24	"	"	PUNCT
alkej-778	208	25	procedia	procedia	NOUN
alkej-778	208	26	manufacturing	manufacturing	NOUN
alkej-778	208	27	,	,	PUNCT
alkej-778	208	28	vol	vol	NOUN
alkej-778	208	29	.	.	PROPN
alkej-778	208	30	20	20	NUM
alkej-778	208	31	,	,	PUNCT
alkej-778	208	32	pp	pp	ADJ
alkej-778	208	33	.	.	PUNCT
alkej-778	208	34	247252	247252	NUM
alkej-778	208	35	,	,	PUNCT
alkej-778	208	36	2018	2018	NUM
alkej-778	208	37	.	.	PUNCT
alkej-778	209	1	[	[	X
alkej-778	209	2	5	5	X
alkej-778	209	3	]	]	PUNCT
alkej-778	209	4	j.	j.	PROPN
alkej-778	209	5	heikkinen	heikkinen	PROPN
alkej-778	209	6	,	,	PUNCT
alkej-778	209	7	b.	b.	PROPN
alkej-778	209	8	ghalamchi	ghalamchi	PROPN
alkej-778	209	9	,	,	PUNCT
alkej-778	209	10	j.	j.	PROPN
alkej-778	209	11	sopanen	sopanen	PROPN
alkej-778	209	12	,	,	PUNCT
alkej-778	209	13	and	and	CCONJ
alkej-778	209	14	a.	a.	PROPN
alkej-778	209	15	mikkola	mikkola	PROPN
alkej-778	209	16	,	,	PUNCT
alkej-778	209	17	"	"	PUNCT
alkej-778	209	18	twice	twice	ADV
alkej-778	209	19	-	-	PUNCT
alkej-778	209	20	running	run	VERB
alkej-778	209	21	-	-	PUNCT
alkej-778	209	22	speed	speed	NOUN
alkej-778	209	23	resonances	resonance	NOUN
alkej-778	209	24	of	of	ADP
alkej-778	209	25	a	a	DET
alkej-778	209	26	paper	paper	NOUN
alkej-778	209	27	machine	machine	NOUN
alkej-778	209	28	tube	tube	NOUN
alkej-778	209	29	roll	roll	NOUN
alkej-778	209	30	supported	support	VERB
alkej-778	209	31	by	by	ADP
alkej-778	209	32	spherical	spherical	ADJ
alkej-778	209	33	roller	roller	NOUN
alkej-778	209	34	bearings	bearing	NOUN
alkej-778	209	35	:	:	PUNCT
alkej-778	209	36	analysis	analysis	NOUN
alkej-778	209	37	and	and	CCONJ
alkej-778	209	38	comparison	comparison	NOUN
alkej-778	209	39	with	with	ADP
alkej-778	209	40	experiments	experiment	NOUN
alkej-778	209	41	,	,	PUNCT
alkej-778	209	42	"	"	PUNCT
alkej-778	209	43	in	in	ADP
alkej-778	209	44	asme	asme	PROPN
alkej-778	209	45	2014	2014	NUM
alkej-778	209	46	international	international	ADJ
alkej-778	209	47	design	design	NOUN
alkej-778	209	48	engineering	engineering	NOUN
alkej-778	209	49	technical	technical	ADJ
alkej-778	209	50	conferences	conference	NOUN
alkej-778	209	51	and	and	CCONJ
alkej-778	209	52	computers	computer	NOUN
alkej-778	209	53	and	and	CCONJ
alkej-778	209	54	information	information	NOUN
alkej-778	209	55	in	in	ADP
alkej-778	209	56	engineering	engineering	NOUN
alkej-778	209	57	conference	conference	NOUN
alkej-778	209	58	,	,	PUNCT
alkej-778	209	59	2014	2014	NUM
alkej-778	209	60	:	:	PUNCT
alkej-778	209	61	american	american	ADJ
alkej-778	209	62	society	society	NOUN
alkej-778	209	63	of	of	ADP
alkej-778	209	64	mechanical	mechanical	ADJ
alkej-778	209	65	engineers	engineer	NOUN
alkej-778	209	66	digital	digital	ADJ
alkej-778	209	67	collection	collection	NOUN
alkej-778	209	68	.	.	PUNCT
alkej-778	210	1	[	[	X
alkej-778	210	2	6	6	NUM
alkej-778	210	3	]	]	PUNCT
alkej-778	210	4	r.	r.	PROPN
alkej-778	210	5	v.	v.	PROPN
alkej-778	210	6	daniel	daniel	PROPN
alkej-778	210	7	,	,	PUNCT
alkej-778	210	8	s.	s.	PROPN
alkej-778	210	9	a.	a.	PROPN
alkej-778	210	10	siddhappa	siddhappa	PROPN
alkej-778	210	11	,	,	PUNCT
alkej-778	210	12	s.	s.	PROPN
alkej-778	210	13	b.	b.	PROPN
alkej-778	210	14	gajanan	gajanan	PROPN
alkej-778	210	15	,	,	PUNCT
alkej-778	210	16	s.	s.	PROPN
alkej-778	210	17	v.	v.	PROPN
alkej-778	210	18	philip	philip	PROPN
alkej-778	210	19	,	,	PUNCT
alkej-778	210	20	and	and	CCONJ
alkej-778	210	21	p.	p.	PROPN
alkej-778	210	22	s.	s.	PROPN
alkej-778	210	23	paul	paul	PROPN
alkej-778	210	24	,	,	PUNCT
alkej-778	210	25	"	"	PUNCT
alkej-778	210	26	effect	effect	NOUN
alkej-778	210	27	of	of	ADP
alkej-778	210	28	bearings	bearing	NOUN
alkej-778	210	29	on	on	ADP
alkej-778	210	30	vibration	vibration	NOUN
alkej-778	210	31	in	in	ADP
alkej-778	210	32	rotating	rotate	VERB
alkej-778	210	33	machinery	machinery	NOUN
alkej-778	210	34	,	,	PUNCT
alkej-778	210	35	"	"	PUNCT
alkej-778	210	36	presented	present	VERB
alkej-778	210	37	at	at	ADP
alkej-778	210	38	the	the	DET
alkej-778	210	39	iop	iop	PROPN
alkej-778	210	40	conference	conference	PROPN
alkej-778	210	41	series	series	NOUN
alkej-778	210	42	:	:	PUNCT
alkej-778	210	43	materials	material	NOUN
alkej-778	210	44	science	science	NOUN
alkej-778	210	45	and	and	CCONJ
alkej-778	210	46	engineering	engineering	NOUN
alkej-778	210	47	,	,	PUNCT
alkej-778	210	48	karunya	karunya	PROPN
alkej-778	210	49	university	university	PROPN
alkej-778	210	50	,	,	PUNCT
alkej-778	210	51	coimbatore	coimbatore	PROPN
alkej-778	210	52	641114	641114	NUM
alkej-778	210	53	,	,	PUNCT
alkej-778	210	54	tamil	tamil	PROPN
alkej-778	210	55	nadu	nadu	PROPN
alkej-778	210	56	,	,	PUNCT
alkej-778	210	57	india	india	PROPN
alkej-778	210	58	.	.	PROPN
alkej-778	210	59	,	,	PUNCT
alkej-778	210	60	2017	2017	NUM
alkej-778	210	61	.	.	PUNCT
alkej-778	211	1	[	[	X
alkej-778	211	2	7	7	X
alkej-778	211	3	]	]	X
alkej-778	211	4	g.	g.	PROPN
alkej-778	211	5	chandrashekar	chandrashekar	PROPN
alkej-778	211	6	,	,	PUNCT
alkej-778	211	7	w.	w.	PROPN
alkej-778	211	8	raj	raj	PROPN
alkej-778	211	9	,	,	PUNCT
alkej-778	211	10	c.	c.	PROPN
alkej-778	211	11	godwin	godwin	PROPN
alkej-778	211	12	,	,	PUNCT
alkej-778	211	13	and	and	CCONJ
alkej-778	211	14	p.	p.	PROPN
alkej-778	211	15	s.	s.	PROPN
alkej-778	211	16	paul	paul	PROPN
alkej-778	211	17	,	,	PUNCT
alkej-778	211	18	"	"	PUNCT
alkej-778	211	19	study	study	NOUN
alkej-778	211	20	on	on	ADP
alkej-778	211	21	the	the	DET
alkej-778	211	22	influence	influence	NOUN
alkej-778	211	23	of	of	ADP
alkej-778	211	24	shaft	shaft	NOUN
alkej-778	211	25	material	material	NOUN
alkej-778	211	26	on	on	ADP
alkej-778	211	27	vibration	vibration	NOUN
alkej-778	211	28	in	in	ADP
alkej-778	211	29	rotating	rotate	VERB
alkej-778	211	30	machinery	machinery	NOUN
alkej-778	211	31	,	,	PUNCT
alkej-778	211	32	"	"	PUNCT
alkej-778	211	33	materials	material	NOUN
alkej-778	211	34	today	today	NOUN
alkej-778	211	35	:	:	PUNCT
alkej-778	211	36	proceedings	proceeding	NOUN
alkej-778	211	37	,	,	PUNCT
alkej-778	211	38	vol	vol	NOUN
alkej-778	211	39	.	.	PROPN
alkej-778	211	40	5	5	NUM
alkej-778	211	41	,	,	PUNCT
alkej-778	211	42	no	no	INTJ
alkej-778	211	43	.	.	NOUN
alkej-778	211	44	5	5	NUM
alkej-778	211	45	,	,	PUNCT
alkej-778	211	46	pp	pp	ADJ
alkej-778	211	47	.	.	PUNCT
alkej-778	212	1	12071	12071	NUM
alkej-778	212	2	-	-	SYM
alkej-778	212	3	12076	12076	NUM
alkej-778	212	4	,	,	PUNCT
alkej-778	212	5	2018	2018	NUM
alkej-778	212	6	,	,	PUNCT
alkej-778	212	7	doi	doi	NOUN
alkej-778	212	8	:	:	PUNCT
alkej-778	212	9	10.1016	10.1016	NUM
alkej-778	212	10	/	/	SYM
alkej-778	212	11	j.matpr.2018.02.182	j.matpr.2018.02.182	PROPN
alkej-778	212	12	.	.	PUNCT
alkej-778	213	1	[	[	X
alkej-778	213	2	8	8	NUM
alkej-778	213	3	]	]	X
alkej-778	213	4	r.	r.	PROPN
alkej-778	213	5	tiwari	tiwari	PROPN
alkej-778	213	6	,	,	PUNCT
alkej-778	213	7	"	"	PUNCT
alkej-778	213	8	conditioning	conditioning	NOUN
alkej-778	213	9	of	of	ADP
alkej-778	213	10	regression	regression	NOUN
alkej-778	213	11	matrices	matrix	NOUN
alkej-778	213	12	for	for	ADP
alkej-778	213	13	simultaneous	simultaneous	ADJ
alkej-778	213	14	estimation	estimation	NOUN
alkej-778	213	15	of	of	ADP
alkej-778	213	16	the	the	DET
alkej-778	213	17	residual	residual	ADJ
alkej-778	213	18	unbalance	unbalance	NOUN
alkej-778	213	19	and	and	CCONJ
alkej-778	213	20	bearing	bear	VERB
alkej-778	213	21	dynamic	dynamic	ADJ
alkej-778	213	22	parameters	parameter	NOUN
alkej-778	213	23	,	,	PUNCT
alkej-778	213	24	"	"	PUNCT
alkej-778	213	25	mechanical	mechanical	ADJ
alkej-778	213	26	systems	system	NOUN
alkej-778	213	27	and	and	CCONJ
alkej-778	213	28	signal	signal	NOUN
alkej-778	213	29	processing	processing	NOUN
alkej-778	213	30	,	,	PUNCT
alkej-778	213	31	vol	vol	NOUN
alkej-778	213	32	.	.	PROPN
alkej-778	213	33	19	19	NUM
alkej-778	213	34	,	,	PUNCT
alkej-778	213	35	no	no	INTJ
alkej-778	213	36	.	.	NOUN
alkej-778	213	37	5	5	NUM
alkej-778	213	38	,	,	PUNCT
alkej-778	213	39	pp	pp	ADJ
alkej-778	213	40	.	.	PUNCT
alkej-778	213	41	10821095	10821095	NUM
alkej-778	213	42	,	,	PUNCT
alkej-778	213	43	2005/09/01/	2005/09/01/	NUM
alkej-778	213	44	2005	2005	NUM
alkej-778	213	45	,	,	PUNCT
alkej-778	213	46	doi	doi	NOUN
alkej-778	213	47	:	:	PUNCT
alkej-778	213	48	https://doi.org/10.1016/j.ymssp.2004.09.00	https://doi.org/10.1016/j.ymssp.2004.09.00	PROPN
alkej-778	213	49	5	5	NUM
alkej-778	214	1	[	[	X
alkej-778	214	2	9	9	NUM
alkej-778	214	3	]	]	PUNCT
alkej-778	214	4	m.	m.	PROPN
alkej-778	214	5	r.	r.	PROPN
alkej-778	214	6	reddy	reddy	PROPN
alkej-778	214	7	and	and	CCONJ
alkej-778	214	8	j.	j.	PROPN
alkej-778	214	9	srinivas	srinivas	PROPN
alkej-778	214	10	,	,	PUNCT
alkej-778	214	11	"	"	PUNCT
alkej-778	214	12	vibration	vibration	NOUN
alkej-778	214	13	analysis	analysis	NOUN
alkej-778	214	14	of	of	ADP
alkej-778	214	15	a	a	DET
alkej-778	214	16	support	support	NOUN
alkej-778	214	17	excited	excite	VERB
alkej-778	214	18	rotor	rotor	NOUN
alkej-778	214	19	system	system	NOUN
alkej-778	214	20	with	with	ADP
alkej-778	214	21	hydrodynamic	hydrodynamic	ADJ
alkej-778	214	22	journal	journal	NOUN
alkej-778	214	23	bearings	bearing	NOUN
alkej-778	214	24	,	,	PUNCT
alkej-778	214	25	"	"	PUNCT
alkej-778	214	26	procedia	procedia	NOUN
alkej-778	214	27	engineering	engineering	NOUN
alkej-778	214	28	,	,	PUNCT
alkej-778	214	29	vol	vol	NOUN
alkej-778	214	30	.	.	PUNCT
alkej-778	215	1	144	144	NUM
alkej-778	215	2	,	,	PUNCT
alkej-778	215	3	pp	pp	ADJ
alkej-778	215	4	.	.	PUNCT
alkej-778	216	1	825832	825832	NUM
alkej-778	216	2	,	,	PUNCT
alkej-778	216	3	2016	2016	NUM
alkej-778	216	4	,	,	PUNCT
alkej-778	216	5	doi	doi	NOUN
alkej-778	216	6	:	:	PUNCT
alkej-778	216	7	10.1016	10.1016	NUM
alkej-778	216	8	/	/	SYM
alkej-778	216	9	j.proeng.2016.05.093	j.proeng.2016.05.093	PROPN
alkej-778	216	10	.	.	PUNCT
alkej-778	217	1	[	[	X
alkej-778	217	2	10	10	NUM
alkej-778	217	3	]	]	PUNCT
alkej-778	217	4	a.	a.	NOUN
alkej-778	217	5	wang	wang	PROPN
alkej-778	217	6	,	,	PUNCT
alkej-778	217	7	w.	w.	PROPN
alkej-778	217	8	yao	yao	PROPN
alkej-778	217	9	,	,	PUNCT
alkej-778	217	10	k.	k.	PROPN
alkej-778	218	1	he	he	PRON
alkej-778	218	2	,	,	PUNCT
alkej-778	218	3	g.	g.	PROPN
alkej-778	218	4	meng	meng	PROPN
alkej-778	218	5	,	,	PUNCT
alkej-778	218	6	x.	x.	PROPN
alkej-778	218	7	cheng	cheng	PROPN
alkej-778	218	8	,	,	PUNCT
alkej-778	218	9	and	and	CCONJ
alkej-778	218	10	j.	j.	PROPN
alkej-778	218	11	yang	yang	PROPN
alkej-778	218	12	,	,	PUNCT
alkej-778	218	13	"	"	PUNCT
alkej-778	218	14	analytical	analytical	ADJ
alkej-778	218	15	modelling	modelling	NOUN
alkej-778	218	16	and	and	CCONJ
alkej-778	218	17	numerical	numerical	ADJ
alkej-778	218	18	experiment	experiment	NOUN
alkej-778	218	19	for	for	ADP
alkej-778	218	20	simultaneous	simultaneous	ADJ
alkej-778	218	21	identification	identification	NOUN
alkej-778	218	22	of	of	ADP
alkej-778	218	23	unbalance	unbalance	NOUN
alkej-778	218	24	and	and	CCONJ
alkej-778	218	25	rolling	rolling	NOUN
alkej-778	218	26	-	-	PUNCT
alkej-778	218	27	bearing	bear	VERB
alkej-778	218	28	coefficients	coefficient	NOUN
alkej-778	218	29	of	of	ADP
alkej-778	218	30	the	the	DET
alkej-778	218	31	continuous	continuous	ADJ
alkej-778	218	32	single	single	ADJ
alkej-778	218	33	-	-	PUNCT
alkej-778	218	34	disc	disc	NOUN
alkej-778	218	35	and	and	CCONJ
alkej-778	218	36	single	single	ADJ
alkej-778	218	37	-	-	PUNCT
alkej-778	218	38	span	span	NOUN
alkej-778	218	39	rotor	rotor	NOUN
alkej-778	218	40	-	-	PUNCT
alkej-778	218	41	bearing	bear	VERB
alkej-778	218	42	system	system	NOUN
alkej-778	218	43	with	with	ADP
alkej-778	218	44	rayleigh	rayleigh	PROPN
alkej-778	218	45	beam	beam	PROPN
alkej-778	218	46	model	model	PROPN
alkej-778	218	47	,	,	PUNCT
alkej-778	218	48	"	"	PUNCT
alkej-778	218	49	mechanical	mechanical	ADJ
alkej-778	218	50	systems	system	NOUN
alkej-778	218	51	and	and	CCONJ
alkej-778	218	52	signal	signal	NOUN
alkej-778	218	53	processing	processing	NOUN
alkej-778	218	54	,	,	PUNCT
alkej-778	218	55	vol	vol	NOUN
alkej-778	218	56	.	.	PROPN
alkej-778	218	57	116	116	NUM
alkej-778	218	58	,	,	PUNCT
alkej-778	218	59	pp	pp	ADJ
alkej-778	218	60	.	.	PUNCT
alkej-778	219	1	322	322	NUM
alkej-778	219	2	-	-	SYM
alkej-778	219	3	346	346	NUM
alkej-778	219	4	,	,	PUNCT
alkej-778	219	5	2019	2019	NUM
alkej-778	219	6	,	,	PUNCT
alkej-778	219	7	doi	doi	NOUN
alkej-778	219	8	:	:	PUNCT
alkej-778	219	9	10.1016	10.1016	NUM
alkej-778	219	10	/	/	SYM
alkej-778	219	11	j.ymssp.2018.06.039	j.ymssp.2018.06.039	PROPN
alkej-778	219	12	.	.	PUNCT
alkej-778	220	1	[	[	X
alkej-778	220	2	11	11	NUM
alkej-778	220	3	]	]	PUNCT
alkej-778	220	4	s.	s.	PROPN
alkej-778	220	5	yang	yang	PROPN
alkej-778	220	6	et	et	PROPN
alkej-778	220	7	al	al	PROPN
alkej-778	220	8	.	.	PROPN
alkej-778	220	9	,	,	PUNCT
alkej-778	220	10	"	"	PUNCT
alkej-778	220	11	dynamic	dynamic	ADJ
alkej-778	220	12	modeling	modeling	NOUN
alkej-778	220	13	and	and	CCONJ
alkej-778	220	14	analysis	analysis	NOUN
alkej-778	220	15	of	of	ADP
alkej-778	220	16	an	an	DET
alkej-778	220	17	axially	axially	ADV
alkej-778	220	18	moving	move	VERB
alkej-778	220	19	and	and	CCONJ
alkej-778	220	20	spinning	spin	VERB
alkej-778	220	21	rayleigh	rayleigh	PROPN
alkej-778	220	22	beam	beam	NOUN
alkej-778	220	23	based	base	VERB
alkej-778	220	24	on	on	ADP
alkej-778	220	25	a	a	DET
alkej-778	220	26	time	time	NOUN
alkej-778	220	27	-	-	PUNCT
alkej-778	220	28	varying	vary	VERB
alkej-778	220	29	element	element	NOUN
alkej-778	220	30	,	,	PUNCT
alkej-778	220	31	"	"	PUNCT
alkej-778	220	32	applied	apply	VERB
alkej-778	220	33	mathematical	mathematical	ADJ
alkej-778	220	34	modelling	modelling	NOUN
alkej-778	220	35	,	,	PUNCT
alkej-778	220	36	vol	vol	NOUN
alkej-778	220	37	.	.	PROPN
alkej-778	220	38	95	95	NUM
alkej-778	220	39	,	,	PUNCT
alkej-778	220	40	pp	pp	ADJ
alkej-778	220	41	.	.	PUNCT
alkej-778	221	1	409	409	NUM
alkej-778	221	2	-	-	SYM
alkej-778	221	3	434	434	NUM
alkej-778	221	4	,	,	PUNCT
alkej-778	221	5	2021	2021	NUM
alkej-778	221	6	.	.	PUNCT
alkej-778	222	1	[	[	X
alkej-778	222	2	12	12	NUM
alkej-778	222	3	]	]	PUNCT
alkej-778	222	4	k.	k.	PROPN
alkej-778	222	5	zhu	zhu	PROPN
alkej-778	222	6	and	and	CCONJ
alkej-778	222	7	j.	j.	PROPN
alkej-778	222	8	chung	chung	PROPN
alkej-778	222	9	,	,	PUNCT
alkej-778	222	10	"	"	PUNCT
alkej-778	222	11	vibration	vibration	NOUN
alkej-778	222	12	and	and	CCONJ
alkej-778	222	13	stability	stability	NOUN
alkej-778	222	14	analysis	analysis	NOUN
alkej-778	222	15	of	of	ADP
alkej-778	222	16	a	a	DET
alkej-778	222	17	simply	simply	ADV
alkej-778	222	18	-	-	PUNCT
alkej-778	222	19	supported	support	VERB
alkej-778	222	20	rayleigh	rayleigh	PROPN
alkej-778	222	21	beam	beam	NOUN
alkej-778	222	22	with	with	ADP
alkej-778	222	23	spinning	spinning	NOUN
alkej-778	222	24	and	and	CCONJ
alkej-778	222	25	axial	axial	ADJ
alkej-778	222	26	motions	motion	NOUN
alkej-778	222	27	,	,	PUNCT
alkej-778	222	28	"	"	PUNCT
alkej-778	222	29	applied	apply	VERB
alkej-778	222	30	mathematical	mathematical	ADJ
alkej-778	222	31	modelling	modelling	NOUN
alkej-778	222	32	,	,	PUNCT
alkej-778	222	33	vol	vol	NOUN
alkej-778	222	34	.	.	PROPN
alkej-778	223	1	66	66	NUM
alkej-778	223	2	,	,	PUNCT
alkej-778	223	3	pp	pp	ADJ
alkej-778	223	4	.	.	PUNCT
alkej-778	224	1	362	362	NUM
alkej-778	224	2	-	-	SYM
alkej-778	224	3	382	382	NUM
alkej-778	224	4	,	,	PUNCT
alkej-778	224	5	2019	2019	NUM
alkej-778	224	6	.	.	PUNCT
alkej-778	225	1	[	[	X
alkej-778	225	2	13	13	NUM
alkej-778	225	3	]	]	PUNCT
alkej-778	225	4	r.	r.	PROPN
alkej-778	225	5	farshbaf	farshbaf	PROPN
alkej-778	225	6	zinati	zinati	PROPN
alkej-778	225	7	,	,	PUNCT
alkej-778	225	8	m.	m.	NOUN
alkej-778	225	9	rezaee	rezaee	PROPN
alkej-778	225	10	,	,	PUNCT
alkej-778	225	11	and	and	CCONJ
alkej-778	225	12	s.	s.	PROPN
alkej-778	225	13	lotfan	lotfan	PROPN
alkej-778	225	14	,	,	PUNCT
alkej-778	225	15	"	"	PUNCT
alkej-778	225	16	nonlinear	nonlinear	ADJ
alkej-778	225	17	vibration	vibration	NOUN
alkej-778	225	18	and	and	CCONJ
alkej-778	225	19	stability	stability	NOUN
alkej-778	225	20	analysis	analysis	NOUN
alkej-778	225	21	of	of	ADP
alkej-778	225	22	viscoelastic	viscoelastic	ADJ
alkej-778	225	23	rayleigh	rayleigh	NOUN
alkej-778	225	24	beams	beam	NOUN
alkej-778	225	25	axially	axially	ADV
alkej-778	225	26	moving	move	VERB
alkej-778	225	27	on	on	ADP
alkej-778	225	28	a	a	DET
alkej-778	225	29	flexible	flexible	ADJ
alkej-778	225	30	intermediate	intermediate	ADJ
alkej-778	225	31	support	support	NOUN
alkej-778	225	32	,	,	PUNCT
alkej-778	225	33	"	"	PUNCT
alkej-778	225	34	iranian	iranian	ADJ
alkej-778	225	35	journal	journal	PROPN
alkej-778	225	36	of	of	ADP
alkej-778	225	37	science	science	NOUN
alkej-778	225	38	and	and	CCONJ
alkej-778	225	39	technology	technology	NOUN
alkej-778	225	40	,	,	PUNCT
alkej-778	225	41	transactions	transaction	NOUN
alkej-778	225	42	of	of	ADP
alkej-778	225	43	mechanical	mechanical	ADJ
alkej-778	225	44	engineering	engineering	NOUN
alkej-778	225	45	,	,	PUNCT
alkej-778	225	46	vol	vol	NOUN
alkej-778	225	47	.	.	PROPN
alkej-778	225	48	44	44	NUM
alkej-778	225	49	,	,	PUNCT
alkej-778	225	50	no	no	INTJ
alkej-778	225	51	.	.	NOUN
alkej-778	225	52	4	4	NUM
alkej-778	225	53	,	,	PUNCT
alkej-778	225	54	pp	pp	ADJ
alkej-778	225	55	.	.	PUNCT
alkej-778	226	1	865	865	NUM
alkej-778	226	2	-	-	SYM
alkej-778	226	3	879	879	NUM
alkej-778	226	4	,	,	PUNCT
alkej-778	226	5	2020	2020	NUM
alkej-778	226	6	.	.	PUNCT
alkej-778	227	1	[	[	X
alkej-778	227	2	14	14	NUM
alkej-778	227	3	]	]	PUNCT
alkej-778	227	4	m.	m.	NOUN
alkej-778	227	5	a.	a.	NOUN
alkej-778	227	6	aouadi	aouadi	PROPN
alkej-778	227	7	and	and	CCONJ
alkej-778	227	8	f.	f.	PROPN
alkej-778	227	9	lakrad	lakrad	PROPN
alkej-778	227	10	,	,	PUNCT
alkej-778	227	11	"	"	PUNCT
alkej-778	227	12	linear	linear	ADJ
alkej-778	227	13	flexural	flexural	ADJ
alkej-778	227	14	natural	natural	ADJ
alkej-778	227	15	frequencies	frequency	NOUN
alkej-778	227	16	and	and	CCONJ
alkej-778	227	17	stability	stability	NOUN
alkej-778	227	18	analysis	analysis	NOUN
alkej-778	227	19	of	of	ADP
alkej-778	227	20	spinning	spin	VERB
alkej-778	227	21	rayleigh	rayleigh	NOUN
alkej-778	227	22	beams	beam	NOUN
alkej-778	227	23	:	:	PUNCT
alkej-778	227	24	application	application	NOUN
alkej-778	227	25	to	to	ADP
alkej-778	227	26	clamped	clamp	VERB
alkej-778	227	27	-	-	PUNCT
alkej-778	227	28	clamped	clamp	VERB
alkej-778	227	29	beams	beam	NOUN
alkej-778	227	30	,	,	PUNCT
alkej-778	227	31	"	"	PUNCT
alkej-778	227	32	in	in	ADP
alkej-778	227	33	matec	matec	ADJ
alkej-778	227	34	web	web	NOUN
alkej-778	227	35	of	of	ADP
alkej-778	227	36	conferences	conference	NOUN
alkej-778	227	37	,	,	PUNCT
alkej-778	227	38	2018	2018	NUM
alkej-778	227	39	,	,	PUNCT
alkej-778	227	40	vol	vol	NOUN
alkej-778	227	41	.	.	PUNCT
alkej-778	228	1	241	241	NUM
alkej-778	228	2	:	:	PUNCT
alkej-778	228	3	edp	edp	PROPN
alkej-778	228	4	sciences	sciences	PROPN
alkej-778	228	5	,	,	PUNCT
alkej-778	228	6	p.	p.	NOUN
alkej-778	228	7	01002	01002	NUM
alkej-778	228	8	.	.	PUNCT
alkej-778	229	1	[	[	X
alkej-778	229	2	15	15	NUM
alkej-778	229	3	]	]	X
alkej-778	229	4	m.	m.	NOUN
alkej-778	229	5	faraji	faraji	PROPN
alkej-778	229	6	mahyari	mahyari	PROPN
alkej-778	229	7	,	,	PUNCT
alkej-778	229	8	k.	k.	PROPN
alkej-778	229	9	faraji	faraji	PROPN
alkej-778	229	10	mahyari	mahyari	PROPN
alkej-778	229	11	,	,	PUNCT
alkej-778	229	12	and	and	CCONJ
alkej-778	229	13	s.	s.	PROPN
alkej-778	229	14	fardpour	fardpour	PROPN
alkej-778	229	15	,	,	PUNCT
alkej-778	229	16	"	"	PUNCT
alkej-778	229	17	new	new	ADJ
alkej-778	229	18	approach	approach	NOUN
alkej-778	229	19	to	to	ADP
alkej-778	229	20	instability	instability	NOUN
alkej-778	229	21	threshold	threshold	NOUN
alkej-778	229	22	of	of	ADP
alkej-778	229	23	a	a	DET
alkej-778	229	24	simply	simply	ADV
alkej-778	229	25	supported	support	VERB
alkej-778	229	26	rayleigh	rayleigh	PROPN
alkej-778	229	27	shaft	shaft	NOUN
alkej-778	229	28	,	,	PUNCT
alkej-778	229	29	"	"	PUNCT
alkej-778	229	30	journal	journal	NOUN
alkej-778	229	31	of	of	ADP
alkej-778	229	32	solid	solid	ADJ
alkej-778	229	33	mechanics	mechanic	NOUN
alkej-778	229	34	,	,	PUNCT
alkej-778	229	35	vol	vol	NOUN
alkej-778	229	36	.	.	PROPN
alkej-778	229	37	6	6	NUM
alkej-778	229	38	,	,	PUNCT
alkej-778	229	39	no	no	INTJ
alkej-778	229	40	.	.	NOUN
alkej-778	229	41	2	2	NUM
alkej-778	229	42	,	,	PUNCT
alkej-778	229	43	pp	pp	ADJ
alkej-778	229	44	.	.	PUNCT
alkej-778	230	1	150	150	NUM
alkej-778	230	2	-	-	SYM
alkej-778	230	3	157	157	NUM
alkej-778	230	4	,	,	PUNCT
alkej-778	230	5	2014	2014	NUM
alkej-778	230	6	.	.	PUNCT
alkej-778	231	1	[	[	X
alkej-778	231	2	16	16	NUM
alkej-778	231	3	]	]	PUNCT
alkej-778	231	4	k.	k.	PROPN
alkej-778	231	5	zhu	zhu	PROPN
alkej-778	231	6	and	and	CCONJ
alkej-778	231	7	j.	j.	PROPN
alkej-778	231	8	chung	chung	PROPN
alkej-778	231	9	,	,	PUNCT
alkej-778	231	10	"	"	PUNCT
alkej-778	231	11	dynamic	dynamic	ADJ
alkej-778	231	12	modeling	modeling	NOUN
alkej-778	231	13	and	and	CCONJ
alkej-778	231	14	analysis	analysis	NOUN
alkej-778	231	15	of	of	ADP
alkej-778	231	16	a	a	DET
alkej-778	231	17	spinning	spinning	ADJ
alkej-778	231	18	rayleigh	rayleigh	NOUN
alkej-778	231	19	beam	beam	NOUN
alkej-778	231	20	under	under	ADP
alkej-778	231	21	deployment	deployment	NOUN
alkej-778	231	22	,	,	PUNCT
alkej-778	231	23	"	"	PUNCT
alkej-778	231	24	international	international	ADJ
alkej-778	231	25	journal	journal	NOUN
alkej-778	231	26	of	of	ADP
alkej-778	231	27	mechanical	mechanical	ADJ
alkej-778	231	28	sciences	science	NOUN
alkej-778	231	29	,	,	PUNCT
alkej-778	231	30	vol	vol	NOUN
alkej-778	231	31	.	.	NOUN
alkej-778	231	32	115	115	NUM
alkej-778	231	33	-	-	SYM
alkej-778	231	34	116	116	NUM
alkej-778	231	35	,	,	PUNCT
alkej-778	231	36	pp	pp	ADJ
alkej-778	231	37	.	.	PUNCT
alkej-778	232	1	392	392	NUM
alkej-778	232	2	-	-	SYM
alkej-778	232	3	405	405	NUM
alkej-778	232	4	,	,	PUNCT
alkej-778	232	5	2016	2016	NUM
alkej-778	232	6	,	,	PUNCT
alkej-778	232	7	doi	doi	NOUN
alkej-778	232	8	:	:	PUNCT
alkej-778	232	9	10.1016	10.1016	NUM
alkej-778	232	10	/	/	SYM
alkej-778	232	11	j.ijmecsci.2016.07.029	j.ijmecsci.2016.07.029	X
alkej-778	232	12	.	.	PUNCT
alkej-778	233	1	[	[	X
alkej-778	233	2	17	17	NUM
alkej-778	233	3	]	]	X
alkej-778	233	4	r.	r.	PROPN
alkej-778	233	5	tamrakar	tamrakar	PROPN
alkej-778	233	6	and	and	CCONJ
alkej-778	233	7	n.	n.	PROPN
alkej-778	233	8	mittal	mittal	PROPN
alkej-778	233	9	,	,	PUNCT
alkej-778	233	10	"	"	PUNCT
alkej-778	233	11	experimental	experimental	ADJ
alkej-778	233	12	investigation	investigation	NOUN
alkej-778	233	13	of	of	ADP
alkej-778	233	14	shaft	shaft	NOUN
alkej-778	233	15	whirl	whirl	NOUN
alkej-778	233	16	carrying	carry	VERB
alkej-778	233	17	3	3	NUM
alkej-778	233	18	rotors	rotor	NOUN
alkej-778	233	19	,	,	PUNCT
alkej-778	233	20	"	"	PUNCT
alkej-778	233	21	trends	trend	NOUN
alkej-778	233	22	in	in	ADP
alkej-778	233	23	mechanical	mechanical	ADJ
alkej-778	233	24	engineering	engineering	NOUN
alkej-778	233	25	&	&	CCONJ
alkej-778	233	26	technology	technology	PROPN
alkej-778	233	27	,	,	PUNCT
alkej-778	233	28	vol	vol	NOUN
alkej-778	233	29	.	.	PROPN
alkej-778	233	30	5	5	NUM
alkej-778	233	31	,	,	PUNCT
alkej-778	233	32	no	no	INTJ
alkej-778	233	33	.	.	NOUN
alkej-778	233	34	2	2	NUM
alkej-778	233	35	,	,	PUNCT
alkej-778	233	36	pp	pp	ADJ
alkej-778	233	37	.	.	PUNCT
alkej-778	234	1	17	17	NUM
alkej-778	234	2	-	-	SYM
alkej-778	234	3	21	21	NUM
alkej-778	234	4	,	,	PUNCT
alkej-778	234	5	2015	2015	NUM
alkej-778	234	6	.	.	PUNCT
alkej-778	235	1	karrar	karrar	NOUN
alkej-778	235	2	baher	baher	ADP
alkej-778	235	3	al	al	PROPN
alkej-778	235	4	-	-	PUNCT
alkej-778	235	5	khwarizmi	khwarizmi	PROPN
alkej-778	235	6	engineering	engineering	NOUN
alkej-778	235	7	journal	journal	PROPN
alkej-778	235	8	,	,	PUNCT
alkej-778	235	9	vol	vol	NOUN
alkej-778	235	10	.	.	PROPN
alkej-778	235	11	18	18	NUM
alkej-778	235	12	,	,	PUNCT
alkej-778	235	13	no	no	INTJ
alkej-778	235	14	.	.	NOUN
alkej-778	235	15	2	2	NUM
alkej-778	235	16	,	,	PUNCT
alkej-778	235	17	p.p	p.p	PROPN
alkej-778	235	18	.	.	NOUN
alkej-778	235	19	2942	2942	NUM
alkej-778	235	20	(	(	PUNCT
alkej-778	235	21	2022	2022	NUM
alkej-778	235	22	)	)	PUNCT
alkej-778	235	23	41	41	NUM
alkej-778	236	1	[	[	X
alkej-778	236	2	18	18	NUM
alkej-778	236	3	]	]	X
alkej-778	236	4	c.	c.	NOUN
alkej-778	236	5	levy	levy	NOUN
alkej-778	236	6	,	,	PUNCT
alkej-778	236	7	"	"	PUNCT
alkej-778	236	8	an	an	DET
alkej-778	236	9	iterative	iterative	NOUN
alkej-778	236	10	technique	technique	NOUN
alkej-778	236	11	based	base	VERB
alkej-778	236	12	on	on	ADP
alkej-778	236	13	the	the	DET
alkej-778	236	14	dunkerley	dunkerley	NOUN
alkej-778	236	15	method	method	NOUN
alkej-778	236	16	for	for	ADP
alkej-778	236	17	determining	determine	VERB
alkej-778	236	18	the	the	DET
alkej-778	236	19	natural	natural	ADJ
alkej-778	236	20	frequencies	frequency	NOUN
alkej-778	236	21	of	of	ADP
alkej-778	236	22	vibrating	vibrating	NOUN
alkej-778	236	23	systems	system	NOUN
alkej-778	236	24	,	,	PUNCT
alkej-778	236	25	"	"	PUNCT
alkej-778	236	26	journal	journal	NOUN
alkej-778	236	27	of	of	ADP
alkej-778	236	28	sound	sound	NOUN
alkej-778	236	29	and	and	CCONJ
alkej-778	236	30	vibration	vibration	NOUN
alkej-778	236	31	,	,	PUNCT
alkej-778	236	32	vol	vol	NOUN
alkej-778	236	33	.	.	PROPN
alkej-778	236	34	150	150	NUM
alkej-778	236	35	,	,	PUNCT
alkej-778	236	36	no	no	INTJ
alkej-778	236	37	.	.	NOUN
alkej-778	236	38	1	1	NUM
alkej-778	236	39	,	,	PUNCT
alkej-778	236	40	pp	pp	ADJ
alkej-778	236	41	.	.	PUNCT
alkej-778	236	42	111	111	NUM
alkej-778	236	43	-	-	SYM
alkej-778	236	44	118	118	NUM
alkej-778	236	45	,	,	PUNCT
alkej-778	236	46	1991	1991	NUM
alkej-778	236	47	.	.	PUNCT
alkej-778	237	1	[	[	X
alkej-778	237	2	19	19	NUM
alkej-778	237	3	]	]	PUNCT
alkej-778	237	4	k.	k.	PROPN
alkej-778	237	5	low	low	PROPN
alkej-778	237	6	,	,	PUNCT
alkej-778	237	7	"	"	PUNCT
alkej-778	237	8	a	a	DET
alkej-778	237	9	modified	modify	VERB
alkej-778	237	10	dunkerley	dunkerley	NOUN
alkej-778	237	11	formula	formula	NOUN
alkej-778	237	12	for	for	ADP
alkej-778	237	13	eigenfrequencies	eigenfrequencie	NOUN
alkej-778	237	14	of	of	ADP
alkej-778	237	15	beams	beam	NOUN
alkej-778	237	16	carrying	carry	VERB
alkej-778	237	17	concentrated	concentrate	VERB
alkej-778	237	18	masses	masse	NOUN
alkej-778	237	19	,	,	PUNCT
alkej-778	237	20	"	"	PUNCT
alkej-778	237	21	international	international	ADJ
alkej-778	237	22	journal	journal	NOUN
alkej-778	237	23	of	of	ADP
alkej-778	237	24	mechanical	mechanical	ADJ
alkej-778	237	25	sciences	science	NOUN
alkej-778	237	26	,	,	PUNCT
alkej-778	237	27	vol	vol	NOUN
alkej-778	237	28	.	.	PROPN
alkej-778	238	1	42	42	NUM
alkej-778	238	2	,	,	PUNCT
alkej-778	238	3	no	no	INTJ
alkej-778	238	4	.	.	NOUN
alkej-778	238	5	7	7	NUM
alkej-778	238	6	,	,	PUNCT
alkej-778	238	7	pp	pp	ADJ
alkej-778	238	8	.	.	PUNCT
alkej-778	239	1	1287	1287	NUM
alkej-778	239	2	-	-	SYM
alkej-778	239	3	1305	1305	NUM
alkej-778	239	4	,	,	PUNCT
alkej-778	239	5	2000	2000	NUM
alkej-778	239	6	.	.	PUNCT
alkej-778	240	1	[	[	X
alkej-778	240	2	20	20	NUM
alkej-778	240	3	]	]	PUNCT
alkej-778	240	4	s.	s.	PROPN
alkej-778	240	5	s.	s.	PROPN
alkej-778	240	6	rao	rao	PROPN
alkej-778	240	7	,	,	PUNCT
alkej-778	240	8	mechanical	mechanical	ADJ
alkej-778	240	9	vibrations	vibration	NOUN
alkej-778	240	10	in	in	ADP
alkej-778	240	11	si	si	PROPN
alkej-778	240	12	units	unit	NOUN
alkej-778	240	13	,	,	PUNCT
alkej-778	240	14	global	global	ADJ
alkej-778	240	15	edition	edition	NOUN
alkej-778	240	16	,	,	PUNCT
alkej-778	240	17	sixth	sixth	ADJ
alkej-778	240	18	ed	ed	NOUN
alkej-778	240	19	.	.	PUNCT
alkej-778	241	1	pearson	pearson	PROPN
alkej-778	241	2	,	,	PUNCT
alkej-778	241	3	2017	2017	NUM
alkej-778	241	4	.	.	PUNCT
alkej-778	242	1	[	[	X
alkej-778	242	2	21	21	NUM
alkej-778	242	3	]	]	X
alkej-778	242	4	j.	j.	PROPN
alkej-778	242	5	metsebo	metsebo	PROPN
alkej-778	242	6	,	,	PUNCT
alkej-778	242	7	n.	n.	PROPN
alkej-778	242	8	upadhyay	upadhyay	PROPN
alkej-778	242	9	,	,	PUNCT
alkej-778	242	10	p.	p.	NOUN
alkej-778	242	11	kankar	kankar	NOUN
alkej-778	242	12	,	,	PUNCT
alkej-778	242	13	and	and	CCONJ
alkej-778	242	14	b.	b.	PROPN
alkej-778	242	15	n.	n.	PROPN
alkej-778	242	16	nbendjo	nbendjo	PROPN
alkej-778	242	17	,	,	PUNCT
alkej-778	242	18	"	"	PUNCT
alkej-778	242	19	modelling	modelling	NOUN
alkej-778	242	20	of	of	ADP
alkej-778	242	21	a	a	DET
alkej-778	242	22	rotor	rotor	NOUN
alkej-778	242	23	-	-	PUNCT
alkej-778	242	24	ball	ball	NOUN
alkej-778	242	25	bearings	bearing	NOUN
alkej-778	242	26	system	system	NOUN
alkej-778	242	27	using	use	VERB
alkej-778	242	28	timoshenko	timoshenko	ADJ
alkej-778	242	29	beam	beam	NOUN
alkej-778	242	30	and	and	CCONJ
alkej-778	242	31	effects	effect	NOUN
alkej-778	242	32	of	of	ADP
alkej-778	242	33	rotating	rotate	VERB
alkej-778	242	34	shaft	shaft	NOUN
alkej-778	242	35	on	on	ADP
alkej-778	242	36	their	their	PRON
alkej-778	242	37	dynamics	dynamic	NOUN
alkej-778	242	38	,	,	PUNCT
alkej-778	242	39	"	"	PUNCT
alkej-778	242	40	journal	journal	NOUN
alkej-778	242	41	of	of	ADP
alkej-778	242	42	mechanical	mechanical	ADJ
alkej-778	242	43	science	science	NOUN
alkej-778	242	44	and	and	CCONJ
alkej-778	242	45	technology	technology	NOUN
alkej-778	242	46	,	,	PUNCT
alkej-778	242	47	vol	vol	NOUN
alkej-778	242	48	.	.	PROPN
alkej-778	242	49	30	30	NUM
alkej-778	242	50	,	,	PUNCT
alkej-778	242	51	no	no	INTJ
alkej-778	242	52	.	.	NOUN
alkej-778	242	53	12	12	NUM
alkej-778	242	54	,	,	PUNCT
alkej-778	242	55	pp	pp	ADJ
alkej-778	242	56	.	.	PUNCT
alkej-778	242	57	53395350	53395350	NUM
alkej-778	242	58	,	,	PUNCT
alkej-778	242	59	2016	2016	NUM
alkej-778	242	60	.	.	PUNCT
alkej-778	243	1	[	[	X
alkej-778	243	2	22	22	NUM
alkej-778	243	3	]	]	X
alkej-778	243	4	n.	n.	PROPN
alkej-778	243	5	wang	wang	PROPN
alkej-778	243	6	,	,	PUNCT
alkej-778	243	7	d.	d.	PROPN
alkej-778	243	8	jiang	jiang	PROPN
alkej-778	243	9	,	,	PUNCT
alkej-778	243	10	and	and	CCONJ
alkej-778	243	11	h.	h.	PROPN
alkej-778	243	12	xu	xu	PROPN
alkej-778	243	13	,	,	PUNCT
alkej-778	243	14	"	"	PUNCT
alkej-778	243	15	dynamic	dynamic	ADJ
alkej-778	243	16	characteristics	characteristic	NOUN
alkej-778	243	17	analysis	analysis	NOUN
alkej-778	243	18	of	of	ADP
alkej-778	243	19	a	a	DET
alkej-778	243	20	dual	dual	ADJ
alkej-778	243	21	-	-	PUNCT
alkej-778	243	22	rotor	rotor	NOUN
alkej-778	243	23	system	system	NOUN
alkej-778	243	24	with	with	ADP
alkej-778	243	25	inter	inter	ADJ
alkej-778	243	26	-	-	ADJ
alkej-778	243	27	shaft	shaft	ADJ
alkej-778	243	28	bearing	bearing	NOUN
alkej-778	243	29	,	,	PUNCT
alkej-778	243	30	"	"	PUNCT
alkej-778	243	31	proceedings	proceeding	NOUN
alkej-778	243	32	of	of	ADP
alkej-778	243	33	the	the	DET
alkej-778	243	34	institution	institution	NOUN
alkej-778	243	35	of	of	ADP
alkej-778	243	36	mechanical	mechanical	ADJ
alkej-778	243	37	engineers	engineer	NOUN
alkej-778	243	38	,	,	PUNCT
alkej-778	243	39	part	part	NOUN
alkej-778	243	40	g	g	NOUN
alkej-778	243	41	:	:	PUNCT
alkej-778	243	42	journal	journal	PROPN
alkej-778	243	43	of	of	ADP
alkej-778	243	44	aerospace	aerospace	PROPN
alkej-778	243	45	engineering	engineering	NOUN
alkej-778	243	46	,	,	PUNCT
alkej-778	243	47	vol	vol	NOUN
alkej-778	243	48	.	.	PROPN
alkej-778	243	49	233	233	NUM
alkej-778	243	50	,	,	PUNCT
alkej-778	243	51	no	no	INTJ
alkej-778	243	52	.	.	NOUN
alkej-778	243	53	3	3	NUM
alkej-778	243	54	,	,	PUNCT
alkej-778	243	55	pp	pp	ADJ
alkej-778	243	56	.	.	PUNCT
alkej-778	243	57	1147	1147	NUM
alkej-778	243	58	-	-	SYM
alkej-778	243	59	1158	1158	NUM
alkej-778	243	60	,	,	PUNCT
alkej-778	243	61	2019	2019	NUM
alkej-778	243	62	.	.	PUNCT
alkej-778	244	1	[	[	X
alkej-778	244	2	23	23	NUM
alkej-778	244	3	]	]	X
alkej-778	244	4	w.	w.	PROPN
alkej-778	244	5	t.	t.	PROPN
alkej-778	244	6	thomson	thomson	PROPN
alkej-778	244	7	,	,	PUNCT
alkej-778	244	8	theory	theory	NOUN
alkej-778	244	9	of	of	ADP
alkej-778	244	10	vibration	vibration	NOUN
alkej-778	244	11	with	with	ADP
alkej-778	244	12	applications	application	NOUN
alkej-778	244	13	.	.	PUNCT
alkej-778	245	1	crc	crc	PROPN
alkej-778	245	2	press	press	PROPN
alkej-778	245	3	,	,	PUNCT
alkej-778	245	4	2018	2018	NUM
alkej-778	245	5	.	.	PUNCT
alkej-778	245	6	)	)	PUNCT
alkej-778	245	7	2022	2022	NUM
alkej-778	245	8	(	(	PUNCT
alkej-778	245	9	2942	2942	NUM
alkej-778	245	10	،	،	NOUN
alkej-778	245	11	صفحة	صفحة	PROPN
alkej-778	246	1	2العدد	2العدد	NUM
alkej-778	246	2	،	،	NOUN
alkej-778	246	3	18مجلة	18مجلة	PRON
alkej-778	246	4	الخوارزمي	الخوارزمي	VERB
alkej-778	246	5	الهندسية	الهندسية	PROPN
alkej-778	246	6	المجلد	المجلد	PROPN
alkej-778	246	7	كرار	كرار	PROPN
alkej-778	246	8	باهر	باهر	PROPN
alkej-778	246	9	تعيب	تعيب	VERB
alkej-778	246	10	42	42	NUM
alkej-778	246	11	ودونكرلي	ودونكرلي	NOUN
alkej-778	246	12	رايلي	رايلي	NOUN
alkej-778	246	13	طريقتين	طريقتين	PROPN
alkej-778	246	14	باستخدام	باستخدام	PROPN
alkej-778	246	15	الدوارة	الدوارة	PROPN
alkej-778	246	16	األعمدة	األعمدة	VERB
alkej-778	246	17	في	في	ADP
alkej-778	246	18	االهتزازات	االهتزازات	PROPN
alkej-778	246	19	تحليل	تحليل	PROPN
alkej-778	246	20	قاسم	قاسم	PROPN
alkej-778	246	21	عباس	عباس	VERB
alkej-778	246	22	عطية	عطية	NOUN
alkej-778	246	23	*	*	PUNCT
alkej-778	246	24	*	*	PUNCT
alkej-778	246	25	كرار	كرار	PROPN
alkej-778	246	26	باهر	باهر	NOUN
alkej-778	246	27	تعيب	تعيب	NOUN
alkej-778	246	28	*	*	PUNCT
alkej-778	246	29	عماد	عماد	PROPN
alkej-778	246	30	عبد	عبد	ADJ
alkej-778	246	31	الحسين	الحسين	PROPN
alkej-778	246	32	عبد	عبد	PROPN
alkej-778	246	33	الصاحب	الصاحب	NOUN
alkej-778	246	34	*	*	PROPN
alkej-778	246	35	*	*	PUNCT
alkej-778	246	36	*	*	PUNCT
alkej-778	246	37	*	*	PUNCT
alkej-778	246	38	،	،	X
alkej-778	246	39	*	*	NOUN
alkej-778	246	40	*	*	NOUN
alkej-778	246	41	،	،	X
alkej-778	246	42	*	*	NOUN
alkej-778	246	43	*	*	PUNCT
alkej-778	246	44	*	*	ADJ
alkej-778	246	45	قسم	قسم	PROPN
alkej-778	246	46	هندسة	هندسة	NOUN
alkej-778	246	47	الميكانيك/	الميكانيك/	NUM
alkej-778	246	48	الجامعة	الجامعة	NOUN
alkej-778	246	49	التكنولوجية/	التكنولوجية/	NUM
alkej-778	246	50	بغداد/	بغداد/	NUM
alkej-778	246	51	العراق	العراق	ADJ
alkej-778	246	52	me.19.20@grad.uotechnology.edu.iq	me.19.20@grad.uotechnology.edu.iq	NOUN
alkej-778	246	53	:	:	PUNCT
alkej-778	246	54	البريد	البريد	VERB
alkej-778	246	55	االلكتروني	االلكتروني	NOUN
alkej-778	246	56	*	*	PROPN
alkej-778	246	57	20044@uotechnology.edu.iq	20044@uotechnology.edu.iq	NUM
alkej-778	246	58	:	:	PUNCT
alkej-778	246	59	البريد	البريد	VERB
alkej-778	246	60	االلكتروني	االلكتروني	NOUN
alkej-778	246	61	*	*	PUNCT
alkej-778	246	62	*	*	PROPN
alkej-778	246	63	20018@uotechnology.edu.iq	20018@uotechnology.edu.iq	NUM
alkej-778	246	64	:	:	PUNCT
alkej-778	246	65	البريد	البريد	VERB
alkej-778	246	66	االلكتروني	االلكتروني	NOUN
alkej-778	246	67	*	*	PUNCT
alkej-778	246	68	*	*	PUNCT
alkej-778	246	69	*	*	PUNCT
alkej-778	246	70	الخالصة	الخالصة	PROPN
alkej-778	246	71	االهتزاز	االهتزاز	ADJ
alkej-778	246	72	لتحليل	لتحليل	NOUN
alkej-778	246	73	استخداًما	استخداًما	PROPN
alkej-778	246	74	األكثر	األكثر	NOUN
alkej-778	246	75	التحليلية	التحليلية	PROPN
alkej-778	246	76	الطرق	الطرق	PROPN
alkej-778	246	77	على	على	PROPN
alkej-778	246	78	دراسة	دراسة	PROPN
alkej-778	246	79	اجراء	اجراء	PROPN
alkej-778	246	80	تم	تم	PROPN
alkej-778	246	81	.	.	PUNCT
alkej-778	246	82	الهندسية	الهندسية	PROPN
alkej-778	247	1	التطبيقات	التطبيقات	PROPN
alkej-778	247	2	في	في	DET
alkej-778	247	3	الدوارة	الدوارة	PROPN
alkej-778	247	4	لألعمدة	لألعمدة	PROPN
alkej-778	247	5	االهتزازات	االهتزازات	PROPN
alkej-778	247	6	أهمية	أهمية	PROPN
alkej-778	247	7	توضيح	توضيح	PROPN
alkej-778	247	8	تم	تم	NOUN
alkej-778	247	9	الرياضية	الرياضية	PROPN
alkej-778	247	10	الحسابات	الحسابات	PROPN
alkej-778	247	11	في	في	ADP
alkej-778	247	12	ألهميتهما	ألهميتهما	PROPN
alkej-778	247	13	نظراً	نظراً	PROPN
alkej-778	247	14	rayleighو	rayleighو	PROPN
alkej-778	247	15	dunkerley	dunkerley	NOUN
alkej-778	247	16	لطريقتي	لطريقتي	NOUN
alkej-778	247	17	تفصيلية	تفصيلية	PROPN
alkej-778	247	18	دراسة	دراسة	PROPN
alkej-778	247	19	إجراء	إجراء	PROPN
alkej-778	247	20	تم	تم	NOUN
alkej-778	247	21	البحث	البحث	PROPN
alkej-778	247	22	هذا	هذا	PROPN
alkej-778	247	23	في	في	PRON
alkej-778	247	24	أنه	أنه	PROPN
alkej-778	247	25	حيث	حيث	PROPN
alkej-778	247	26	.	.	PUNCT
alkej-778	248	1	الدوران	الدوران	PROPN
alkej-778	248	2	عمود	عمود	VERB
alkej-778	248	3	في	في	ADP
alkej-778	248	4	منصة	منصة	NOUN
alkej-778	248	5	إنشاء	إنشاء	NOUN
alkej-778	248	6	تم	تم	NOUN
alkej-778	248	7	.rayleighو	.rayleighو	ADP
alkej-778	248	8	dunkerley	dunkerley	PROPN
alkej-778	248	9	طريقة	طريقة	NOUN
alkej-778	248	10	من	من	PROPN
alkej-778	248	11	كل	كل	PROPN
alkej-778	248	12	في	في	ADP
alkej-778	248	13	للحساب	للحساب	PROPN
alkej-778	248	14	المتعددة	المتعددة	VERB
alkej-778	248	15	العقد	العقد	NOUN
alkej-778	248	16	طريقة	طريقة	NOUN
alkej-778	248	17	استخدام	استخدام	PROPN
alkej-778	248	18	تم	تم	PROPN
alkej-778	248	19	.	.	PUNCT
alkej-778	249	1	الدوران	الدوران	AUX
alkej-778	249	2	نظام	نظام	PROPN
alkej-778	249	3	في	في	ADP
alkej-778	249	4	االهتزازات	االهتزازات	PROPN
alkej-778	249	5	سعة	سعة	PROPN
alkej-778	249	6	إليجاد	إليجاد	PROPN
alkej-778	249	7	هناك	هناك	PROPN
alkej-778	249	8	أن	أن	AUX
alkej-778	249	9	ثبت	ثبت	VERB
alkej-778	249	10	.	.	PUNCT
alkej-778	250	1	المحامل	المحامل	PROPN
alkej-778	250	2	بين	بين	PROPN
alkej-778	250	3	المختلفة	المختلفة	PROPN
alkej-778	250	4	ولمسافات	ولمسافات	PROPN
alkej-778	250	5	النظرية	النظرية	PROPN
alkej-778	250	6	الحسابات	الحسابات	VERB
alkej-778	250	7	مع	مع	PROPN
alkej-778	250	8	النتائج	النتائج	PROPN
alkej-778	250	9	ومقارنة	ومقارنة	PROPN
alkej-778	250	10	الدوارة	الدوارة	PROPN
alkej-778	250	11	األعمدة	األعمدة	VERB
alkej-778	250	12	في	في	SCONJ
alkej-778	250	13	تحدث	تحدث	VERB
alkej-778	250	14	التي	التي	PROPN
alkej-778	250	15	االهتزازات	االهتزازات	PROPN
alkej-778	250	16	لدراسة	لدراسة	PROPN
alkej-778	250	17	تجريبية	تجريبية	PROPN
alkej-778	250	18	طريقة	طريقة	PROPN
alkej-778	250	19	مقارنة	مقارنة	PROPN
alkej-778	250	20	تمت	تمت	NOUN
alkej-778	250	21	.	.	PUNCT
alkej-778	251	1	المستشعرات	المستشعرات	VERB
alkej-778	251	2	من	من	DET
alkej-778	251	3	القادمة	القادمة	PROPN
alkej-778	251	4	االهتزاز	االهتزاز	PROPN
alkej-778	251	5	إشارة	إشارة	INTJ
alkej-778	251	6	تحليل	تحليل	INTJ
alkej-778	251	7	تم	تم	PROPN
alkej-778	251	8	labview	labview	PROPN
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alkej-778	251	10	باستخدام	باستخدام	PROPN
alkej-778	251	11	.	.	PUNCT
alkej-778	252	1	والنظرية	والنظرية	PROPN
alkej-778	252	2	التجريبية	التجريبية	PROPN
alkej-778	252	3	النتائج	النتائج	PROPN
alkej-778	252	4	بين	بين	ADV
alkej-778	252	5	جيد	جيد	VERB
alkej-778	252	6	توافق	توافق	PROPN
alkej-778	252	7	ا	ا	X
alkej-778	252	8	،	،	X
alkej-778	252	9	بسيطًا	بسيطًا	ADJ
alkej-778	252	10	فرًقا	فرًقا	NOUN
alkej-778	252	11	تحدث	تحدث	NOUN
alkej-778	252	12	أنها	أنها	NOUN
alkej-778	252	13	وجد	وجد	VERB
alkej-778	252	14	وقد	وقد	PROPN
alkej-778	252	15	.	.	PUNCT
alkej-778	253	1	دقة	دقة	PROPN
alkej-778	253	2	األكثر	األكثر	PROPN
alkej-778	253	3	الطريقة	الطريقة	NOUN
alkej-778	253	4	اعتبارها	اعتبارها	PROPN
alkej-778	253	5	وتم	وتم	PROPN
alkej-778	253	6	الدقيقة	الدقيقة	PROPN
alkej-778	253	7	،	،	PROPN
alkej-778	253	8	بالطريقة	بالطريقة	NOUN
alkej-778	253	9	رايلي	رايلي	NOUN
alkej-778	253	10	دنكرلي	دنكرلي	NOUN
alkej-778	253	11	طريقة	طريقة	NOUN
alkej-778	253	12	أما	أما	VERB
alkej-778	253	13	٪	٪	NOUN
alkej-778	253	14	.	.	PUNCT
alkej-778	254	1	٠٫٠٦	٠٫٠٦	VERB
alkej-778	254	2	حوالي	حوالي	ADJ
alkej-778	254	3	إلى	إلى	NOUN
alkej-778	254	4	يصل	يصل	PROPN
alkej-778	254	5	جدً	جدً	PROPN
alkej-778	254	6	طريقة	طريقة	NOUN
alkej-778	254	7	أن	أن	PROPN
alkej-778	254	8	ووجد	ووجد	PROPN
alkej-778	254	9	،	،	PROPN
alkej-778	254	10	dunkerleyو	dunkerleyو	PROPN
alkej-778	254	11	rayleigh	rayleigh	PROPN
alkej-778	254	12	طريقتين	طريقتين	PROPN
alkej-778	254	13	بين	بين	AUX
alkej-778	254	14	مقارنة	مقارنة	NOUN
alkej-778	254	15	إجراء	إجراء	NOUN
alkej-778	254	16	تم	تم	X
alkej-778	254	17	ثم	ثم	ADP
alkej-778	254	18	.	.	PUNCT
alkej-778	255	1	مقبولة	مقبولة	VERB
alkej-778	255	2	وهي	وهي	NOUN
alkej-778	255	3	٪	٪	NOUN
alkej-778	255	4	٤	٤	PROPN
alkej-778	255	5	حوالي	حوالي	ADV
alkej-778	255	6	يبلغ	يبلغ	VERB
alkej-778	255	7	الدقيقة	الدقيقة	NOUN
alkej-778	255	8	طريقة	طريقة	NOUN
alkej-778	255	9	وبين	وبين	ADV
alkej-778	255	10	بينها	بينها	VERB
alkej-778	255	11	فالفرق	فالفرق	ADJ
alkej-778	255	12	dunkerley	dunkerley	NOUN
alkej-778	255	13	الحسابات	الحسابات	VERB
alkej-778	255	14	في	في	ADP
alkej-778	255	15	األنسب	األنسب	NOUN
alkej-778	255	16	هي	هي	PROPN
alkej-778	255	17	.	.	PUNCT