id	sid	tid	token	lemma	pos
iajs-3140	1	1	ihjpas	ihjpas	PROPN
iajs-3140	1	2	.	.	PUNCT
iajs-3140	2	1	36	36	NUM
iajs-3140	2	2	(	(	PUNCT
iajs-3140	2	3	4	4	NUM
iajs-3140	2	4	)	)	PUNCT
iajs-3140	2	5	2023	2023	NUM
iajs-3140	2	6	429	429	NUM
iajs-3140	2	7	this	this	DET
iajs-3140	2	8	work	work	NOUN
iajs-3140	2	9	is	be	AUX
iajs-3140	2	10	licensed	license	VERB
iajs-3140	2	11	under	under	ADP
iajs-3140	2	12	a	a	DET
iajs-3140	2	13	creative	creative	ADJ
iajs-3140	2	14	commons	common	NOUN
iajs-3140	2	15	attribution	attribution	NOUN
iajs-3140	2	16	4.0	4.0	NUM
iajs-3140	2	17	international	international	ADJ
iajs-3140	2	18	license	license	NOUN
iajs-3140	2	19	abstract	abstract	ADJ
iajs-3140	2	20	cantilever	cantilever	NOUN
iajs-3140	2	21	beams	beam	NOUN
iajs-3140	2	22	are	be	AUX
iajs-3140	2	23	used	use	VERB
iajs-3140	2	24	in	in	ADP
iajs-3140	2	25	many	many	ADJ
iajs-3140	2	26	crucial	crucial	ADJ
iajs-3140	2	27	applications	application	NOUN
iajs-3140	2	28	in	in	ADP
iajs-3140	2	29	machinery	machinery	NOUN
iajs-3140	2	30	and	and	CCONJ
iajs-3140	2	31	construction	construction	NOUN
iajs-3140	2	32	.	.	PUNCT
iajs-3140	3	1	for	for	ADP
iajs-3140	3	2	example	example	NOUN
iajs-3140	3	3	,	,	PUNCT
iajs-3140	3	4	the	the	DET
iajs-3140	3	5	airplane	airplane	NOUN
iajs-3140	3	6	wing	wing	NOUN
iajs-3140	3	7	,	,	PUNCT
iajs-3140	3	8	the	the	DET
iajs-3140	3	9	microscopic	microscopic	ADJ
iajs-3140	3	10	probe	probe	NOUN
iajs-3140	3	11	for	for	ADP
iajs-3140	3	12	atomic	atomic	ADJ
iajs-3140	3	13	force	force	NOUN
iajs-3140	3	14	measurement	measurement	NOUN
iajs-3140	3	15	,	,	PUNCT
iajs-3140	3	16	the	the	DET
iajs-3140	3	17	tower	tower	NOUN
iajs-3140	3	18	crane	crane	NOUN
iajs-3140	3	19	overhang	overhang	NOUN
iajs-3140	3	20	and	and	CCONJ
iajs-3140	3	21	twin	twin	ADJ
iajs-3140	3	22	overhang	overhang	NOUN
iajs-3140	3	23	folding	fold	VERB
iajs-3140	3	24	bridge	bridge	NOUN
iajs-3140	3	25	are	be	AUX
iajs-3140	3	26	typical	typical	ADJ
iajs-3140	3	27	examples	example	NOUN
iajs-3140	3	28	of	of	ADP
iajs-3140	3	29	cantilever	cantilever	NOUN
iajs-3140	3	30	beams	beam	NOUN
iajs-3140	3	31	.	.	PUNCT
iajs-3140	4	1	the	the	DET
iajs-3140	4	2	current	current	ADJ
iajs-3140	4	3	research	research	NOUN
iajs-3140	4	4	aims	aim	VERB
iajs-3140	4	5	to	to	PART
iajs-3140	4	6	develop	develop	VERB
iajs-3140	4	7	an	an	DET
iajs-3140	4	8	analytical	analytical	ADJ
iajs-3140	4	9	solution	solution	NOUN
iajs-3140	4	10	for	for	ADP
iajs-3140	4	11	the	the	DET
iajs-3140	4	12	free	free	ADJ
iajs-3140	4	13	vibration	vibration	NOUN
iajs-3140	4	14	problem	problem	NOUN
iajs-3140	4	15	of	of	ADP
iajs-3140	4	16	cantilever	cantilever	NOUN
iajs-3140	4	17	beams	beam	NOUN
iajs-3140	4	18	.	.	PUNCT
iajs-3140	5	1	the	the	DET
iajs-3140	5	2	dynamic	dynamic	ADJ
iajs-3140	5	3	response	response	NOUN
iajs-3140	5	4	of	of	ADP
iajs-3140	5	5	aisi	aisi	PROPN
iajs-3140	5	6	304	304	PROPN
iajs-3140	5	7	beam	beam	NOUN
iajs-3140	5	8	represented	represent	VERB
iajs-3140	5	9	by	by	ADP
iajs-3140	5	10	the	the	DET
iajs-3140	5	11	natural	natural	ADJ
iajs-3140	5	12	frequencies	frequency	NOUN
iajs-3140	5	13	was	be	AUX
iajs-3140	5	14	determined	determine	VERB
iajs-3140	5	15	under	under	ADP
iajs-3140	5	16	different	different	ADJ
iajs-3140	5	17	working	work	VERB
iajs-3140	5	18	surrounding	surround	VERB
iajs-3140	5	19	temperatures	temperature	NOUN
iajs-3140	5	20	(	(	PUNCT
iajs-3140	5	21	(	(	PUNCT
iajs-3140	5	22	-100	-100	PROPN
iajs-3140	5	23	℃	℃	PROPN
iajs-3140	5	24	to	to	ADP
iajs-3140	5	25	400	400	NUM
iajs-3140	5	26	℃	℃	PROPN
iajs-3140	5	27	)	)	PUNCT
iajs-3140	5	28	)	)	PUNCT
iajs-3140	5	29	.	.	PUNCT
iajs-3140	6	1	a	a	DET
iajs-3140	6	2	matlab	matlab	PROPN
iajs-3140	6	3	code	code	NOUN
iajs-3140	6	4	was	be	AUX
iajs-3140	6	5	developed	develop	VERB
iajs-3140	6	6	to	to	PART
iajs-3140	6	7	achieve	achieve	VERB
iajs-3140	6	8	the	the	DET
iajs-3140	6	9	analytical	analytical	ADJ
iajs-3140	6	10	solution	solution	NOUN
iajs-3140	6	11	results	result	NOUN
iajs-3140	6	12	,	,	PUNCT
iajs-3140	6	13	considering	consider	VERB
iajs-3140	6	14	the	the	DET
iajs-3140	6	15	effect	effect	NOUN
iajs-3140	6	16	of	of	ADP
iajs-3140	6	17	some	some	DET
iajs-3140	6	18	beam	beam	NOUN
iajs-3140	6	19	geometrical	geometrical	ADJ
iajs-3140	6	20	dimensions	dimension	NOUN
iajs-3140	6	21	.	.	PUNCT
iajs-3140	7	1	the	the	DET
iajs-3140	7	2	developed	develop	VERB
iajs-3140	7	3	analytical	analytical	ADJ
iajs-3140	7	4	solution	solution	NOUN
iajs-3140	7	5	has	have	AUX
iajs-3140	7	6	been	be	AUX
iajs-3140	7	7	verified	verify	VERB
iajs-3140	7	8	successfully	successfully	ADV
iajs-3140	7	9	with	with	ADP
iajs-3140	7	10	real	real	ADJ
iajs-3140	7	11	experimental	experimental	ADJ
iajs-3140	7	12	data	datum	NOUN
iajs-3140	7	13	and	and	CCONJ
iajs-3140	7	14	the	the	DET
iajs-3140	7	15	error	error	NOUN
iajs-3140	7	16	was	be	AUX
iajs-3140	7	17	not	not	PART
iajs-3140	7	18	exceeded	exceed	VERB
iajs-3140	7	19	1	1	NUM
iajs-3140	7	20	%	%	NOUN
iajs-3140	7	21	.	.	PUNCT
iajs-3140	8	1	keywords	keyword	NOUN
iajs-3140	8	2	:	:	PUNCT
iajs-3140	8	3	analytical	analytical	ADJ
iajs-3140	8	4	solution	solution	NOUN
iajs-3140	8	5	,	,	PUNCT
iajs-3140	8	6	cantilever	cantilever	NOUN
iajs-3140	8	7	beam	beam	NOUN
iajs-3140	8	8	,	,	PUNCT
iajs-3140	8	9	free	free	ADJ
iajs-3140	8	10	vibration	vibration	NOUN
iajs-3140	8	11	,	,	PUNCT
iajs-3140	8	12	mathematical	mathematical	ADJ
iajs-3140	8	13	modeling	modeling	NOUN
iajs-3140	8	14	.	.	PUNCT
iajs-3140	9	1	1	1	X
iajs-3140	9	2	.	.	X
iajs-3140	9	3	introduction	introduction	NOUN
iajs-3140	9	4	the	the	DET
iajs-3140	9	5	mathematical	mathematical	ADJ
iajs-3140	9	6	modeling	modeling	NOUN
iajs-3140	9	7	of	of	ADP
iajs-3140	9	8	the	the	DET
iajs-3140	9	9	vibration	vibration	NOUN
iajs-3140	9	10	properties	property	NOUN
iajs-3140	9	11	of	of	ADP
iajs-3140	9	12	the	the	DET
iajs-3140	9	13	cantilever	cantilever	NOUN
iajs-3140	9	14	beam	beam	NOUN
iajs-3140	9	15	seems	seem	VERB
iajs-3140	9	16	a	a	DET
iajs-3140	9	17	crucial	crucial	ADJ
iajs-3140	9	18	topic	topic	NOUN
iajs-3140	9	19	due	due	ADP
iajs-3140	9	20	to	to	ADP
iajs-3140	9	21	its	its	PRON
iajs-3140	9	22	wide	wide	ADJ
iajs-3140	9	23	range	range	NOUN
iajs-3140	9	24	of	of	ADP
iajs-3140	9	25	applications	application	NOUN
iajs-3140	9	26	in	in	ADP
iajs-3140	9	27	structural	structural	ADJ
iajs-3140	9	28	and	and	CCONJ
iajs-3140	9	29	construction	construction	NOUN
iajs-3140	9	30	technology	technology	NOUN
iajs-3140	9	31	and	and	CCONJ
iajs-3140	9	32	other	other	ADJ
iajs-3140	9	33	sectors	sector	NOUN
iajs-3140	9	34	.	.	PUNCT
iajs-3140	10	1	in	in	ADP
iajs-3140	10	2	service	service	NOUN
iajs-3140	10	3	conditions	condition	NOUN
iajs-3140	10	4	,	,	PUNCT
iajs-3140	10	5	those	those	DET
iajs-3140	10	6	cantilever	cantilever	NOUN
iajs-3140	10	7	beams	beam	NOUN
iajs-3140	10	8	expose	expose	VERB
iajs-3140	10	9	to	to	ADP
iajs-3140	10	10	various	various	ADJ
iajs-3140	10	11	levels	level	NOUN
iajs-3140	10	12	of	of	ADP
iajs-3140	10	13	vibrations	vibration	NOUN
iajs-3140	10	14	that	that	PRON
iajs-3140	10	15	influence	influence	VERB
iajs-3140	10	16	their	their	PRON
iajs-3140	10	17	functional	functional	ADJ
iajs-3140	10	18	behavior	behavior	NOUN
iajs-3140	10	19	.	.	PUNCT
iajs-3140	11	1	the	the	DET
iajs-3140	11	2	prolonged	prolong	VERB
iajs-3140	11	3	working	work	VERB
iajs-3140	11	4	under	under	ADP
iajs-3140	11	5	such	such	ADJ
iajs-3140	11	6	vibration	vibration	NOUN
iajs-3140	11	7	conditions	condition	NOUN
iajs-3140	11	8	doi.org/10.30526/36.4.3140	doi.org/10.30526/36.4.3140	ADJ
iajs-3140	11	9	article	article	NOUN
iajs-3140	11	10	history	history	NOUN
iajs-3140	11	11	:	:	PUNCT
iajs-3140	11	12	received	receive	VERB
iajs-3140	11	13	13	13	NUM
iajs-3140	11	14	december	december	PROPN
iajs-3140	11	15	2022	2022	NUM
iajs-3140	11	16	,	,	PUNCT
iajs-3140	11	17	accepted	accept	VERB
iajs-3140	11	18	14	14	NUM
iajs-3140	11	19	march	march	NOUN
iajs-3140	11	20	2023	2023	NUM
iajs-3140	11	21	,	,	PUNCT
iajs-3140	11	22	published	publish	VERB
iajs-3140	11	23	in	in	ADP
iajs-3140	11	24	october	october	PROPN
iajs-3140	11	25	2023	2023	NUM
iajs-3140	11	26	ibn	ibn	PROPN
iajs-3140	11	27	al	al	PROPN
iajs-3140	11	28	-	-	PUNCT
iajs-3140	11	29	haitham	haitham	PROPN
iajs-3140	11	30	journal	journal	PROPN
iajs-3140	11	31	for	for	ADP
iajs-3140	11	32	pure	pure	ADJ
iajs-3140	11	33	and	and	CCONJ
iajs-3140	11	34	applied	applied	ADJ
iajs-3140	11	35	sciences	sciences	PROPN
iajs-3140	11	36	journal	journal	PROPN
iajs-3140	11	37	homepage	homepage	NOUN
iajs-3140	11	38	:	:	PUNCT
iajs-3140	11	39	jih.uobaghdad.edu.iq	jih.uobaghdad.edu.iq	NOUN
iajs-3140	11	40	building	build	VERB
iajs-3140	11	41	an	an	DET
iajs-3140	11	42	analytical	analytical	ADJ
iajs-3140	11	43	method	method	NOUN
iajs-3140	11	44	to	to	PART
iajs-3140	11	45	study	study	VERB
iajs-3140	11	46	cantilever	cantilever	NOUN
iajs-3140	11	47	beam	beam	NOUN
iajs-3140	11	48	dynamic	dynamic	ADJ
iajs-3140	11	49	response	response	NOUN
iajs-3140	11	50	samaher	samaher	PROPN
iajs-3140	11	51	mohammed	mohammed	PROPN
iajs-3140	11	52	sarhan	sarhan	PROPN
iajs-3140	11	53	department	department	PROPN
iajs-3140	11	54	of	of	ADP
iajs-3140	11	55	mechatronics	mechatronic	NOUN
iajs-3140	11	56	engineering	engineering	PROPN
iajs-3140	11	57	,	,	PUNCT
iajs-3140	11	58	al	al	PROPN
iajs-3140	11	59	-	-	PUNCT
iajs-3140	11	60	khwarizmi	khwarizmi	PROPN
iajs-3140	11	61	college	college	PROPN
iajs-3140	11	62	of	of	ADP
iajs-3140	11	63	engineering	engineering	PROPN
iajs-3140	11	64	,	,	PUNCT
iajs-3140	11	65	university	university	NOUN
iajs-3140	11	66	of	of	ADP
iajs-3140	11	67	baghdad	baghdad	PROPN
iajs-3140	11	68	,	,	PUNCT
iajs-3140	11	69	baghdad	baghdad	PROPN
iajs-3140	11	70	,	,	PUNCT
iajs-3140	11	71	iraq	iraq	PROPN
iajs-3140	11	72	.	.	PUNCT
iajs-3140	12	1	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3140	12	2	mailto:samaher.m@kecbu.uobaghdad.edu.iq	mailto:samaher.m@kecbu.uobaghdad.edu.iq	PROPN
iajs-3140	12	3	ihjpas	ihjpa	VERB
iajs-3140	12	4	.	.	PUNCT
iajs-3140	13	1	36	36	NUM
iajs-3140	13	2	(	(	PUNCT
iajs-3140	13	3	4	4	NUM
iajs-3140	13	4	)	)	PUNCT
iajs-3140	13	5	2023	2023	NUM
iajs-3140	13	6	430	430	NUM
iajs-3140	13	7	threatens	threaten	VERB
iajs-3140	13	8	the	the	DET
iajs-3140	13	9	performance	performance	NOUN
iajs-3140	13	10	stability	stability	NOUN
iajs-3140	13	11	of	of	ADP
iajs-3140	13	12	those	those	DET
iajs-3140	13	13	vital	vital	ADJ
iajs-3140	13	14	structural	structural	ADJ
iajs-3140	13	15	parts	part	NOUN
iajs-3140	13	16	[	[	X
iajs-3140	13	17	1	1	NUM
iajs-3140	13	18	]	]	PUNCT
iajs-3140	13	19	.	.	PUNCT
iajs-3140	14	1	studying	study	VERB
iajs-3140	14	2	the	the	DET
iajs-3140	14	3	response	response	NOUN
iajs-3140	14	4	of	of	ADP
iajs-3140	14	5	the	the	DET
iajs-3140	14	6	cantilever	cantilever	NOUN
iajs-3140	14	7	beam	beam	NOUN
iajs-3140	14	8	to	to	ADP
iajs-3140	14	9	the	the	DET
iajs-3140	14	10	applied	apply	VERB
iajs-3140	14	11	vibration	vibration	NOUN
iajs-3140	14	12	is	be	AUX
iajs-3140	14	13	an	an	DET
iajs-3140	14	14	important	important	ADJ
iajs-3140	14	15	issue	issue	NOUN
iajs-3140	14	16	because	because	SCONJ
iajs-3140	14	17	it	it	PRON
iajs-3140	14	18	enables	enable	VERB
iajs-3140	14	19	us	we	PRON
iajs-3140	14	20	to	to	PART
iajs-3140	14	21	analyze	analyze	VERB
iajs-3140	14	22	and	and	CCONJ
iajs-3140	14	23	interpret	interpret	VERB
iajs-3140	14	24	a	a	DET
iajs-3140	14	25	variety	variety	NOUN
iajs-3140	14	26	of	of	ADP
iajs-3140	14	27	typical	typical	ADJ
iajs-3140	14	28	real	real	ADJ
iajs-3140	14	29	cases	case	NOUN
iajs-3140	14	30	,	,	PUNCT
iajs-3140	14	31	as	as	SCONJ
iajs-3140	14	32	stated	state	VERB
iajs-3140	14	33	in	in	ADP
iajs-3140	14	34	the	the	DET
iajs-3140	14	35	examples	example	NOUN
iajs-3140	14	36	above	above	ADV
iajs-3140	14	37	.	.	PUNCT
iajs-3140	15	1	these	these	DET
iajs-3140	15	2	applications	application	NOUN
iajs-3140	15	3	can	can	AUX
iajs-3140	15	4	be	be	AUX
iajs-3140	15	5	molded	mold	VERB
iajs-3140	15	6	as	as	ADP
iajs-3140	15	7	cantilever	cantilever	NOUN
iajs-3140	15	8	beam	beam	NOUN
iajs-3140	15	9	that	that	PRON
iajs-3140	15	10	gives	give	VERB
iajs-3140	15	11	flexibility	flexibility	NOUN
iajs-3140	15	12	in	in	ADP
iajs-3140	15	13	design	design	NOUN
iajs-3140	15	14	tuning	tuning	NOUN
iajs-3140	15	15	for	for	ADP
iajs-3140	15	16	the	the	DET
iajs-3140	15	17	most	most	ADV
iajs-3140	15	18	effective	effective	ADJ
iajs-3140	15	19	real	real	ADJ
iajs-3140	15	20	systems	system	NOUN
iajs-3140	15	21	.	.	PUNCT
iajs-3140	16	1	the	the	DET
iajs-3140	16	2	vibration	vibration	NOUN
iajs-3140	16	3	analysis	analysis	NOUN
iajs-3140	16	4	is	be	AUX
iajs-3140	16	5	one	one	NUM
iajs-3140	16	6	of	of	ADP
iajs-3140	16	7	the	the	DET
iajs-3140	16	8	most	most	ADV
iajs-3140	16	9	important	important	ADJ
iajs-3140	16	10	and	and	CCONJ
iajs-3140	16	11	effective	effective	ADJ
iajs-3140	16	12	analyses	analysis	NOUN
iajs-3140	16	13	of	of	ADP
iajs-3140	16	14	the	the	DET
iajs-3140	16	15	structure	structure	NOUN
iajs-3140	16	16	in	in	ADP
iajs-3140	16	17	different	different	ADJ
iajs-3140	16	18	industrial	industrial	ADJ
iajs-3140	16	19	sectors	sector	NOUN
iajs-3140	16	20	.	.	PUNCT
iajs-3140	17	1	where	where	SCONJ
iajs-3140	17	2	,	,	PUNCT
iajs-3140	17	3	the	the	DET
iajs-3140	17	4	vibration	vibration	NOUN
iajs-3140	17	5	results	result	NOUN
iajs-3140	17	6	can	can	AUX
iajs-3140	17	7	be	be	AUX
iajs-3140	17	8	assisted	assist	VERB
iajs-3140	17	9	to	to	PART
iajs-3140	17	10	identify	identify	VERB
iajs-3140	17	11	faults	fault	NOUN
iajs-3140	17	12	or	or	CCONJ
iajs-3140	17	13	detect	detect	VERB
iajs-3140	17	14	warning	warning	NOUN
iajs-3140	17	15	signs	sign	NOUN
iajs-3140	17	16	of	of	ADP
iajs-3140	17	17	potential	potential	ADJ
iajs-3140	17	18	failures	failure	NOUN
iajs-3140	17	19	.	.	PUNCT
iajs-3140	18	1	it	it	PRON
iajs-3140	18	2	can	can	AUX
iajs-3140	18	3	also	also	ADV
iajs-3140	18	4	aid	aid	VERB
iajs-3140	18	5	in	in	ADP
iajs-3140	18	6	the	the	DET
iajs-3140	18	7	detection	detection	NOUN
iajs-3140	18	8	of	of	ADP
iajs-3140	18	9	misalignment	misalignment	NOUN
iajs-3140	18	10	or	or	CCONJ
iajs-3140	18	11	unbalance	unbalance	NOUN
iajs-3140	18	12	of	of	ADP
iajs-3140	18	13	assets	asset	NOUN
iajs-3140	18	14	such	such	ADJ
iajs-3140	18	15	as	as	ADP
iajs-3140	18	16	bearings	bearing	NOUN
iajs-3140	18	17	and	and	CCONJ
iajs-3140	18	18	rotating	rotate	VERB
iajs-3140	18	19	pieces	piece	NOUN
iajs-3140	18	20	of	of	ADP
iajs-3140	18	21	equipment	equipment	NOUN
iajs-3140	18	22	.	.	PUNCT
iajs-3140	19	1	a	a	DET
iajs-3140	19	2	cantilever	cantilever	NOUN
iajs-3140	19	3	beam	beam	NOUN
iajs-3140	19	4	will	will	AUX
iajs-3140	19	5	oscillate	oscillate	VERB
iajs-3140	19	6	at	at	ADP
iajs-3140	19	7	its	its	PRON
iajs-3140	19	8	natural	natural	ADJ
iajs-3140	19	9	frequency	frequency	NOUN
iajs-3140	19	10	when	when	SCONJ
iajs-3140	19	11	given	give	VERB
iajs-3140	19	12	a	a	DET
iajs-3140	19	13	stimulus	stimulus	NOUN
iajs-3140	19	14	and	and	CCONJ
iajs-3140	19	15	left	leave	VERB
iajs-3140	19	16	to	to	PART
iajs-3140	19	17	vibrate	vibrate	VERB
iajs-3140	19	18	on	on	ADP
iajs-3140	19	19	its	its	PRON
iajs-3140	19	20	own	own	ADJ
iajs-3140	19	21	.	.	PUNCT
iajs-3140	20	1	free	free	ADJ
iajs-3140	20	2	vibration	vibration	NOUN
iajs-3140	20	3	is	be	AUX
iajs-3140	20	4	the	the	DET
iajs-3140	20	5	name	name	NOUN
iajs-3140	20	6	given	give	VERB
iajs-3140	20	7	to	to	ADP
iajs-3140	20	8	this	this	DET
iajs-3140	20	9	state	state	NOUN
iajs-3140	20	10	.	.	PUNCT
iajs-3140	21	1	the	the	DET
iajs-3140	21	2	system	system	NOUN
iajs-3140	21	3	's	's	PART
iajs-3140	21	4	mass	mass	ADJ
iajs-3140	21	5	and	and	CCONJ
iajs-3140	21	6	stiffness	stiffness	ADJ
iajs-3140	21	7	parameters	parameter	NOUN
iajs-3140	21	8	are	be	AUX
iajs-3140	21	9	the	the	DET
iajs-3140	21	10	only	only	ADJ
iajs-3140	21	11	ones	one	NOUN
iajs-3140	21	12	that	that	PRON
iajs-3140	21	13	affect	affect	VERB
iajs-3140	21	14	the	the	DET
iajs-3140	21	15	natural	natural	ADJ
iajs-3140	21	16	frequency	frequency	NOUN
iajs-3140	21	17	.	.	PUNCT
iajs-3140	22	1	there	there	PRON
iajs-3140	22	2	are	be	VERB
iajs-3140	22	3	several	several	ADJ
iajs-3140	22	4	presumptions	presumption	NOUN
iajs-3140	22	5	made	make	VERB
iajs-3140	22	6	for	for	ADP
iajs-3140	22	7	modeling	modeling	NOUN
iajs-3140	22	8	and	and	CCONJ
iajs-3140	22	9	analysis	analysis	NOUN
iajs-3140	22	10	when	when	SCONJ
iajs-3140	22	11	a	a	DET
iajs-3140	22	12	real	real	ADJ
iajs-3140	22	13	system	system	NOUN
iajs-3140	22	14	is	be	AUX
iajs-3140	22	15	approximated	approximate	VERB
iajs-3140	22	16	to	to	ADP
iajs-3140	22	17	a	a	DET
iajs-3140	22	18	straightforward	straightforward	ADJ
iajs-3140	22	19	cantilever	cantilever	NOUN
iajs-3140	22	20	beam	beam	NOUN
iajs-3140	22	21	.	.	PUNCT
iajs-3140	23	1	some	some	DET
iajs-3140	23	2	conducted	conduct	VERB
iajs-3140	23	3	works	work	NOUN
iajs-3140	23	4	have	have	AUX
iajs-3140	23	5	been	be	AUX
iajs-3140	23	6	cited	cite	VERB
iajs-3140	23	7	here	here	ADV
iajs-3140	23	8	chronologically	chronologically	ADV
iajs-3140	23	9	.	.	PUNCT
iajs-3140	24	1	for	for	ADP
iajs-3140	24	2	example	example	NOUN
iajs-3140	24	3	,	,	PUNCT
iajs-3140	24	4	a	a	DET
iajs-3140	24	5	modified	modify	VERB
iajs-3140	24	6	theory	theory	NOUN
iajs-3140	24	7	of	of	ADP
iajs-3140	24	8	couple	couple	NOUN
iajs-3140	24	9	stress	stress	NOUN
iajs-3140	24	10	was	be	AUX
iajs-3140	24	11	applied	apply	VERB
iajs-3140	24	12	by	by	ADP
iajs-3140	24	13	akgoz	akgoz	NOUN
iajs-3140	24	14	and	and	CCONJ
iajs-3140	24	15	civalek[1	civalek[1	X
iajs-3140	24	16	]	]	PUNCT
iajs-3140	24	17	to	to	PART
iajs-3140	24	18	determine	determine	VERB
iajs-3140	24	19	the	the	DET
iajs-3140	24	20	natural	natural	ADJ
iajs-3140	24	21	frequencies	frequency	NOUN
iajs-3140	24	22	of	of	ADP
iajs-3140	24	23	the	the	DET
iajs-3140	24	24	tapered	tapered	ADJ
iajs-3140	24	25	beam	beam	NOUN
iajs-3140	24	26	.	.	PUNCT
iajs-3140	25	1	the	the	DET
iajs-3140	25	2	natural	natural	ADJ
iajs-3140	25	3	frequency	frequency	NOUN
iajs-3140	25	4	of	of	ADP
iajs-3140	25	5	simply	simply	ADV
iajs-3140	25	6	supported	support	VERB
iajs-3140	25	7	beams	beam	NOUN
iajs-3140	25	8	guided	guide	VERB
iajs-3140	25	9	elastically	elastically	ADV
iajs-3140	25	10	at	at	ADP
iajs-3140	25	11	one	one	NUM
iajs-3140	25	12	end	end	NOUN
iajs-3140	25	13	was	be	AUX
iajs-3140	25	14	investigated	investigate	VERB
iajs-3140	25	15	by	by	ADP
iajs-3140	25	16	calioand	calioand	NOUN
iajs-3140	25	17	elishakoff[2].he	elishakoff[2].he	PROPN
iajs-3140	25	18	considered	consider	VERB
iajs-3140	25	19	the	the	DET
iajs-3140	25	20	trigonometric	trigonometric	ADJ
iajs-3140	25	21	functions	function	NOUN
iajs-3140	25	22	of	of	ADP
iajs-3140	25	23	the	the	DET
iajs-3140	25	24	elasticity	elasticity	NOUN
iajs-3140	25	25	modulus	modulus	NOUN
iajs-3140	25	26	in	in	ADP
iajs-3140	25	27	mathematical	mathematical	ADJ
iajs-3140	25	28	modeling	modeling	NOUN
iajs-3140	25	29	.	.	PUNCT
iajs-3140	26	1	the	the	DET
iajs-3140	26	2	static	static	ADJ
iajs-3140	26	3	and	and	CCONJ
iajs-3140	26	4	dynamic	dynamic	ADJ
iajs-3140	26	5	responses	response	NOUN
iajs-3140	26	6	of	of	ADP
iajs-3140	26	7	a	a	DET
iajs-3140	26	8	prismatic	prismatic	ADJ
iajs-3140	26	9	beam	beam	NOUN
iajs-3140	26	10	were	be	AUX
iajs-3140	26	11	studied	study	VERB
iajs-3140	26	12	by	by	ADP
iajs-3140	26	13	li	li	PROPN
iajs-3140	27	1	[	[	X
iajs-3140	27	2	3	3	NUM
iajs-3140	27	3	]	]	PUNCT
iajs-3140	27	4	,	,	PUNCT
iajs-3140	27	5	who	who	PRON
iajs-3140	27	6	took	take	VERB
iajs-3140	27	7	into	into	ADP
iajs-3140	27	8	account	account	NOUN
iajs-3140	27	9	shear	shear	NOUN
iajs-3140	27	10	deformation	deformation	NOUN
iajs-3140	27	11	and	and	CCONJ
iajs-3140	27	12	rotational	rotational	ADJ
iajs-3140	27	13	inertia	inertia	NOUN
iajs-3140	27	14	.	.	PUNCT
iajs-3140	28	1	a	a	DET
iajs-3140	28	2	piecewise	piecewise	NOUN
iajs-3140	28	3	element	element	NOUN
iajs-3140	28	4	was	be	AUX
iajs-3140	28	5	adopted	adopt	VERB
iajs-3140	28	6	by	by	ADP
iajs-3140	28	7	singh	singh	PROPN
iajs-3140	28	8	and	and	CCONJ
iajs-3140	28	9	li	li	PROPN
iajs-3140	29	1	[	[	X
iajs-3140	29	2	4]to	4]to	PRON
iajs-3140	29	3	evaluate	evaluate	VERB
iajs-3140	29	4	the	the	DET
iajs-3140	29	5	performance	performance	NOUN
iajs-3140	29	6	of	of	ADP
iajs-3140	29	7	a	a	DET
iajs-3140	29	8	cantilever	cantilever	NOUN
iajs-3140	29	9	column	column	NOUN
iajs-3140	29	10	restrained	restrain	VERB
iajs-3140	29	11	by	by	ADP
iajs-3140	29	12	the	the	DET
iajs-3140	29	13	elastic	elastic	ADJ
iajs-3140	29	14	foundation	foundation	NOUN
iajs-3140	29	15	and	and	CCONJ
iajs-3140	29	16	subjected	subject	VERB
iajs-3140	29	17	to	to	ADP
iajs-3140	29	18	buckling	buckle	VERB
iajs-3140	29	19	load	load	NOUN
iajs-3140	29	20	.	.	PUNCT
iajs-3140	30	1	huang	huang	PROPN
iajs-3140	30	2	and	and	CCONJ
iajs-3140	30	3	li	li	PROPN
iajs-3140	31	1	[	[	AUX
iajs-3140	31	2	5]proposed	5]proposed	NUM
iajs-3140	31	3	a	a	DET
iajs-3140	31	4	new	new	ADJ
iajs-3140	31	5	method	method	NOUN
iajs-3140	31	6	to	to	PART
iajs-3140	31	7	study	study	VERB
iajs-3140	31	8	the	the	DET
iajs-3140	31	9	free	free	ADJ
iajs-3140	31	10	vibration	vibration	NOUN
iajs-3140	31	11	of	of	ADP
iajs-3140	31	12	tapered	tapered	ADJ
iajs-3140	31	13	beams	beam	NOUN
iajs-3140	31	14	under	under	ADP
iajs-3140	31	15	different	different	ADJ
iajs-3140	31	16	conditions	condition	NOUN
iajs-3140	31	17	.	.	PUNCT
iajs-3140	32	1	the	the	DET
iajs-3140	32	2	beam	beam	NOUN
iajs-3140	32	3	conditions	condition	NOUN
iajs-3140	32	4	were	be	AUX
iajs-3140	32	5	:	:	PUNCT
iajs-3140	32	6	clamped	clamp	VERB
iajs-3140	32	7	at	at	ADP
iajs-3140	32	8	two	two	NUM
iajs-3140	32	9	ends	end	NOUN
iajs-3140	32	10	,	,	PUNCT
iajs-3140	32	11	simply	simply	ADV
iajs-3140	32	12	supported	support	VERB
iajs-3140	32	13	,	,	PUNCT
iajs-3140	32	14	cantilever	cantilever	NOUN
iajs-3140	32	15	ends	end	VERB
iajs-3140	32	16	,	,	PUNCT
iajs-3140	32	17	and	and	CCONJ
iajs-3140	32	18	clamped	clamp	VERB
iajs-3140	32	19	-	-	PUNCT
iajs-3140	32	20	pinned	pin	VERB
iajs-3140	32	21	,	,	PUNCT
iajs-3140	32	22	respectively	respectively	ADV
iajs-3140	32	23	.	.	PUNCT
iajs-3140	33	1	they	they	PRON
iajs-3140	33	2	used	use	VERB
iajs-3140	33	3	integral	integral	ADJ
iajs-3140	33	4	equations	equation	NOUN
iajs-3140	33	5	of	of	ADP
iajs-3140	33	6	fredholm	fredholm	NOUN
iajs-3140	33	7	in	in	ADP
iajs-3140	33	8	the	the	DET
iajs-3140	33	9	mathematical	mathematical	ADJ
iajs-3140	33	10	modeling	modeling	NOUN
iajs-3140	33	11	of	of	ADP
iajs-3140	33	12	beams	beam	NOUN
iajs-3140	33	13	.	.	PUNCT
iajs-3140	34	1	the	the	DET
iajs-3140	34	2	stability	stability	NOUN
iajs-3140	34	3	and	and	CCONJ
iajs-3140	34	4	free	free	ADJ
iajs-3140	34	5	vibration	vibration	NOUN
iajs-3140	34	6	of	of	ADP
iajs-3140	34	7	a	a	DET
iajs-3140	34	8	non	non	ADJ
iajs-3140	34	9	-	-	ADJ
iajs-3140	34	10	prismatic	prismatic	ADJ
iajs-3140	34	11	column	column	NOUN
iajs-3140	34	12	were	be	AUX
iajs-3140	34	13	investigated	investigate	VERB
iajs-3140	34	14	by	by	ADP
iajs-3140	34	15	shahba	shahba	PROPN
iajs-3140	34	16	et	et	PROPN
iajs-3140	34	17	al	al	PROPN
iajs-3140	34	18	.	.	PUNCT
iajs-3140	35	1	[	[	X
iajs-3140	35	2	6]under	6]under	NUM
iajs-3140	35	3	boundary	boundary	ADJ
iajs-3140	35	4	conditions	condition	NOUN
iajs-3140	35	5	of	of	ADP
iajs-3140	35	6	classical	classical	ADJ
iajs-3140	35	7	and	and	CCONJ
iajs-3140	35	8	non	non	ADJ
iajs-3140	35	9	-	-	ADJ
iajs-3140	35	10	classical	classical	ADJ
iajs-3140	35	11	.	.	PUNCT
iajs-3140	36	1	shahba	shahba	NOUN
iajs-3140	36	2	and	and	CCONJ
iajs-3140	36	3	rajasekaran[7]applied	rajasekaran[7]applie	VERB
iajs-3140	36	4	the	the	DET
iajs-3140	36	5	differential	differential	ADJ
iajs-3140	36	6	quadrature	quadrature	NOUN
iajs-3140	36	7	element	element	NOUN
iajs-3140	36	8	method	method	NOUN
iajs-3140	36	9	to	to	PART
iajs-3140	36	10	solve	solve	VERB
iajs-3140	36	11	the	the	DET
iajs-3140	36	12	equation	equation	NOUN
iajs-3140	36	13	of	of	ADP
iajs-3140	36	14	motion	motion	NOUN
iajs-3140	36	15	to	to	PART
iajs-3140	36	16	evaluate	evaluate	VERB
iajs-3140	36	17	the	the	DET
iajs-3140	36	18	tapered	tapered	ADJ
iajs-3140	36	19	beam	beam	NOUN
iajs-3140	36	20	's	's	PART
iajs-3140	36	21	stability	stability	NOUN
iajs-3140	36	22	under	under	ADP
iajs-3140	36	23	buckling	buckle	VERB
iajs-3140	36	24	and	and	CCONJ
iajs-3140	36	25	free	free	ADJ
iajs-3140	36	26	vibration	vibration	NOUN
iajs-3140	36	27	conditions	condition	NOUN
iajs-3140	36	28	.	.	PUNCT
iajs-3140	37	1	also	also	ADV
iajs-3140	37	2	,	,	PUNCT
iajs-3140	37	3	the	the	DET
iajs-3140	37	4	free	free	ADJ
iajs-3140	37	5	vibration	vibration	NOUN
iajs-3140	37	6	was	be	AUX
iajs-3140	37	7	analyzed	analyze	VERB
iajs-3140	37	8	by	by	ADP
iajs-3140	37	9	kukla	kukla	PROPN
iajs-3140	37	10	and	and	CCONJ
iajs-3140	37	11	rychlewska[8]for	rychlewska[8]for	ADP
iajs-3140	37	12	fixed	fix	VERB
iajs-3140	37	13	ends	end	NOUN
iajs-3140	37	14	beams	beam	NOUN
iajs-3140	37	15	made	make	VERB
iajs-3140	37	16	from	from	ADP
iajs-3140	37	17	functionally	functionally	ADV
iajs-3140	37	18	graded	grade	VERB
iajs-3140	37	19	materials	material	NOUN
iajs-3140	37	20	.	.	PUNCT
iajs-3140	38	1	again	again	ADV
iajs-3140	38	2	,	,	PUNCT
iajs-3140	38	3	yilmaz	yilmaz	PROPN
iajs-3140	38	4	et	et	PROPN
iajs-3140	38	5	al	al	PROPN
iajs-3140	38	6	.	.	PUNCT
iajs-3140	39	1	[	[	X
iajs-3140	39	2	9	9	NUM
iajs-3140	39	3	]	]	PUNCT
iajs-3140	39	4	applied	apply	VERB
iajs-3140	39	5	the	the	DET
iajs-3140	39	6	differential	differential	ADJ
iajs-3140	39	7	quadrature	quadrature	NOUN
iajs-3140	39	8	element	element	NOUN
iajs-3140	39	9	approach	approach	NOUN
iajs-3140	39	10	to	to	PART
iajs-3140	39	11	study	study	VERB
iajs-3140	39	12	the	the	DET
iajs-3140	39	13	performance	performance	NOUN
iajs-3140	39	14	of	of	ADP
iajs-3140	39	15	non	non	ADJ
iajs-3140	39	16	-	-	ADJ
iajs-3140	39	17	prismatic	prismatic	ADJ
iajs-3140	39	18	columns	column	NOUN
iajs-3140	39	19	under	under	ADP
iajs-3140	39	20	buckling	buckle	VERB
iajs-3140	39	21	conditions	condition	NOUN
iajs-3140	39	22	.	.	PUNCT
iajs-3140	40	1	ihjpas	ihjpas	PROPN
iajs-3140	40	2	.	.	PUNCT
iajs-3140	41	1	36	36	NUM
iajs-3140	41	2	(	(	PUNCT
iajs-3140	41	3	4	4	NUM
iajs-3140	41	4	)	)	PUNCT
iajs-3140	41	5	2023	2023	NUM
iajs-3140	41	6	431	431	NUM
iajs-3140	41	7	chandran	chandran	NOUN
iajs-3140	41	8	and	and	CCONJ
iajs-3140	41	9	rajendran[10	rajendran[10	NOUN
iajs-3140	41	10	]	]	PUNCT
iajs-3140	41	11	adopted	adopt	VERB
iajs-3140	41	12	the	the	DET
iajs-3140	41	13	fundamental	fundamental	ADJ
iajs-3140	41	14	of	of	ADP
iajs-3140	41	15	conversation	conversation	ADJ
iajs-3140	41	16	energy	energy	NOUN
iajs-3140	41	17	to	to	PART
iajs-3140	41	18	present	present	VERB
iajs-3140	41	19	a	a	DET
iajs-3140	41	20	closed	close	VERB
iajs-3140	41	21	-	-	PUNCT
iajs-3140	41	22	form	form	NOUN
iajs-3140	41	23	solution	solution	NOUN
iajs-3140	41	24	for	for	ADP
iajs-3140	41	25	prismatic	prismatic	ADJ
iajs-3140	41	26	cantilever	cantilever	NOUN
iajs-3140	41	27	columns	column	NOUN
iajs-3140	41	28	under	under	ADP
iajs-3140	41	29	buckling	buckle	VERB
iajs-3140	41	30	conditions	condition	NOUN
iajs-3140	41	31	.	.	PUNCT
iajs-3140	42	1	also	also	ADV
iajs-3140	42	2	,	,	PUNCT
iajs-3140	42	3	shafiei	shafiei	PROPN
iajs-3140	42	4	et	et	PROPN
iajs-3140	42	5	al	al	PROPN
iajs-3140	42	6	.	.	PUNCT
iajs-3140	43	1	[	[	X
iajs-3140	43	2	11	11	NUM
iajs-3140	43	3	]	]	PUNCT
iajs-3140	43	4	applied	apply	VERB
iajs-3140	43	5	the	the	DET
iajs-3140	43	6	differential	differential	ADJ
iajs-3140	43	7	quadrature	quadrature	NOUN
iajs-3140	43	8	element	element	NOUN
iajs-3140	43	9	method	method	NOUN
iajs-3140	43	10	to	to	PART
iajs-3140	43	11	solve	solve	VERB
iajs-3140	43	12	the	the	DET
iajs-3140	43	13	governing	govern	VERB
iajs-3140	43	14	equations	equation	NOUN
iajs-3140	43	15	of	of	ADP
iajs-3140	43	16	square	square	PROPN
iajs-3140	43	17	cross	cross	ADJ
iajs-3140	43	18	-	-	ADJ
iajs-3140	43	19	section	section	ADJ
iajs-3140	43	20	tapered	tapered	ADJ
iajs-3140	43	21	microbeams	microbeam	NOUN
iajs-3140	43	22	to	to	PART
iajs-3140	43	23	analyze	analyze	VERB
iajs-3140	43	24	the	the	DET
iajs-3140	43	25	non	non	ADJ
iajs-3140	43	26	-	-	ADJ
iajs-3140	43	27	linear	linear	ADJ
iajs-3140	43	28	vibration	vibration	NOUN
iajs-3140	43	29	behavior	behavior	NOUN
iajs-3140	43	30	.	.	PUNCT
iajs-3140	44	1	ranganathan	ranganathan	PROPN
iajs-3140	44	2	et	et	PROPN
iajs-3140	44	3	al	al	PROPN
iajs-3140	44	4	.	.	PUNCT
iajs-3140	45	1	[	[	X
iajs-3140	45	2	12	12	NUM
iajs-3140	45	3	]	]	PUNCT
iajs-3140	45	4	integrated	integrate	VERB
iajs-3140	45	5	linear	linear	ADJ
iajs-3140	45	6	perturbation	perturbation	NOUN
iajs-3140	45	7	with	with	ADP
iajs-3140	45	8	the	the	DET
iajs-3140	45	9	rayleighritz	rayleighritz	NOUN
iajs-3140	45	10	methods	method	NOUN
iajs-3140	45	11	to	to	PART
iajs-3140	45	12	determine	determine	VERB
iajs-3140	45	13	the	the	DET
iajs-3140	45	14	maximum	maximum	ADJ
iajs-3140	45	15	buckling	buckling	NOUN
iajs-3140	45	16	load	load	NOUN
iajs-3140	45	17	under	under	ADP
iajs-3140	45	18	a	a	DET
iajs-3140	45	19	constant	constant	ADJ
iajs-3140	45	20	modulus	modulus	NOUN
iajs-3140	45	21	of	of	ADP
iajs-3140	45	22	elasticity	elasticity	NOUN
iajs-3140	45	23	.	.	PUNCT
iajs-3140	46	1	elishakoff	elishakoff	NOUN
iajs-3140	46	2	et	et	PROPN
iajs-3140	46	3	al	al	PROPN
iajs-3140	46	4	.	.	PUNCT
iajs-3140	47	1	[	[	X
iajs-3140	47	2	13]studied	13]studied	ADJ
iajs-3140	47	3	column	column	NOUN
iajs-3140	47	4	vibration	vibration	NOUN
iajs-3140	47	5	and	and	CCONJ
iajs-3140	47	6	buckling	buckling	NOUN
iajs-3140	47	7	by	by	ADP
iajs-3140	47	8	adopting	adopt	VERB
iajs-3140	47	9	the	the	DET
iajs-3140	47	10	5thorder	5thorder	NUM
iajs-3140	47	11	polynomial	polynomial	ADJ
iajs-3140	47	12	and	and	CCONJ
iajs-3140	47	13	sharing	sharing	NOUN
iajs-3140	47	14	mode	mode	NOUN
iajs-3140	47	15	.	.	PUNCT
iajs-3140	48	1	the	the	DET
iajs-3140	48	2	buckling	buckle	VERB
iajs-3140	48	3	loads	load	NOUN
iajs-3140	48	4	and	and	CCONJ
iajs-3140	48	5	natural	natural	ADJ
iajs-3140	48	6	frequencies	frequency	NOUN
iajs-3140	48	7	for	for	ADP
iajs-3140	48	8	semirigid	semirigid	ADJ
iajs-3140	48	9	tapered	tapered	ADJ
iajs-3140	48	10	beam	beam	NOUN
iajs-3140	48	11	-	-	PUNCT
iajs-3140	48	12	column	column	NOUN
iajs-3140	48	13	were	be	AUX
iajs-3140	48	14	determined	determine	VERB
iajs-3140	48	15	by	by	ADP
iajs-3140	48	16	rezaiee	rezaiee	NOUN
iajs-3140	48	17	and	and	CCONJ
iajs-3140	48	18	masoodi[14	masoodi[14	PROPN
iajs-3140	48	19	]	]	PUNCT
iajs-3140	48	20	by	by	ADP
iajs-3140	48	21	closed	closed	ADJ
iajs-3140	48	22	-	-	PUNCT
iajs-3140	48	23	form	form	NOUN
iajs-3140	48	24	solutions	solution	NOUN
iajs-3140	48	25	.	.	PUNCT
iajs-3140	49	1	also	also	ADV
iajs-3140	49	2	,	,	PUNCT
iajs-3140	49	3	lee	lee	PROPN
iajs-3140	49	4	and	and	CCONJ
iajs-3140	49	5	lee	lee	PROPN
iajs-3140	50	1	[	[	X
iajs-3140	50	2	15	15	NUM
iajs-3140	50	3	]	]	PUNCT
iajs-3140	50	4	investigated	investigate	VERB
iajs-3140	50	5	the	the	DET
iajs-3140	50	6	buckling	buckling	ADJ
iajs-3140	50	7	and	and	CCONJ
iajs-3140	50	8	free	free	ADJ
iajs-3140	50	9	vibration	vibration	NOUN
iajs-3140	50	10	of	of	ADP
iajs-3140	50	11	circular	circular	ADJ
iajs-3140	50	12	and	and	CCONJ
iajs-3140	50	13	square	square	ADJ
iajs-3140	50	14	tapered	tapered	ADJ
iajs-3140	50	15	cantilever	cantilever	NOUN
iajs-3140	50	16	columns	column	NOUN
iajs-3140	50	17	.	.	PUNCT
iajs-3140	51	1	chain	chain	NOUN
iajs-3140	51	2	et	et	NOUN
iajs-3140	51	3	al	al	PROPN
iajs-3140	52	1	[	[	X
iajs-3140	52	2	16	16	NUM
iajs-3140	52	3	]	]	PUNCT
iajs-3140	52	4	applied	apply	VERB
iajs-3140	52	5	classical	classical	ADJ
iajs-3140	52	6	and	and	CCONJ
iajs-3140	52	7	modified	modify	VERB
iajs-3140	52	8	rayleigh	rayleigh	PROPN
iajs-3140	52	9	method	method	NOUN
iajs-3140	52	10	(	(	PUNCT
iajs-3140	52	11	crm	crm	NOUN
iajs-3140	52	12	and	and	CCONJ
iajs-3140	52	13	mrm)with	mrm)with	PROPN
iajs-3140	52	14	finite	finite	ADJ
iajs-3140	52	15	element	element	NOUN
iajs-3140	52	16	(	(	PUNCT
iajs-3140	52	17	fem	fem	PROPN
iajs-3140	52	18	)	)	PUNCT
iajs-3140	52	19	to	to	PART
iajs-3140	52	20	find	find	VERB
iajs-3140	52	21	out	out	ADP
iajs-3140	52	22	the	the	DET
iajs-3140	52	23	natural	natural	ADJ
iajs-3140	52	24	frequency	frequency	NOUN
iajs-3140	52	25	for	for	ADP
iajs-3140	52	26	non	non	ADJ
iajs-3140	52	27	-	-	ADJ
iajs-3140	52	28	uniform	uniform	ADJ
iajs-3140	52	29	cantilever	cantilever	NOUN
iajs-3140	52	30	beam	beam	NOUN
iajs-3140	52	31	.	.	PUNCT
iajs-3140	53	1	for	for	ADP
iajs-3140	53	2	beam	beam	NOUN
iajs-3140	53	3	length	length	NOUN
iajs-3140	53	4	greater	great	ADJ
iajs-3140	53	5	than	than	ADP
iajs-3140	53	6	half	half	ADJ
iajs-3140	53	7	,	,	PUNCT
iajs-3140	53	8	good	good	ADJ
iajs-3140	53	9	matching	matching	NOUN
iajs-3140	53	10	was	be	AUX
iajs-3140	53	11	achieved	achieve	VERB
iajs-3140	53	12	between	between	ADP
iajs-3140	53	13	crm	crm	PROPN
iajs-3140	53	14	and	and	CCONJ
iajs-3140	53	15	fem	fem	PROPN
iajs-3140	53	16	.	.	PROPN
iajs-3140	53	17	from	from	ADP
iajs-3140	53	18	the	the	DET
iajs-3140	53	19	other	other	ADJ
iajs-3140	53	20	side	side	NOUN
iajs-3140	53	21	,	,	PUNCT
iajs-3140	53	22	excellent	excellent	ADJ
iajs-3140	53	23	matching	matching	NOUN
iajs-3140	53	24	was	be	AUX
iajs-3140	53	25	obtained	obtain	VERB
iajs-3140	53	26	for	for	ADP
iajs-3140	53	27	beam	beam	NOUN
iajs-3140	53	28	length	length	NOUN
iajs-3140	53	29	less	less	ADV
iajs-3140	53	30	than	than	ADP
iajs-3140	53	31	half	half	NOUN
iajs-3140	53	32	.	.	PUNCT
iajs-3140	54	1	du	du	PROPN
iajs-3140	54	2	et	et	PROPN
iajs-3140	54	3	al	al	PROPN
iajs-3140	55	1	[	[	X
iajs-3140	55	2	17	17	NUM
iajs-3140	55	3	]	]	PUNCT
iajs-3140	55	4	introduced	introduce	VERB
iajs-3140	55	5	an	an	DET
iajs-3140	55	6	enhanced	enhanced	ADJ
iajs-3140	55	7	mathematical	mathematical	ADJ
iajs-3140	55	8	model	model	NOUN
iajs-3140	55	9	for	for	ADP
iajs-3140	55	10	free	free	ADJ
iajs-3140	55	11	vibration	vibration	NOUN
iajs-3140	55	12	analysis	analysis	NOUN
iajs-3140	55	13	of	of	ADP
iajs-3140	55	14	rotating	rotate	VERB
iajs-3140	55	15	cantilever	cantilever	NOUN
iajs-3140	55	16	beam	beam	NOUN
iajs-3140	55	17	having	have	VERB
iajs-3140	55	18	free	free	ADJ
iajs-3140	55	19	mass	mass	NOUN
iajs-3140	55	20	end	end	NOUN
iajs-3140	55	21	.	.	PUNCT
iajs-3140	56	1	the	the	DET
iajs-3140	56	2	model	model	NOUN
iajs-3140	56	3	was	be	AUX
iajs-3140	56	4	developed	develop	VERB
iajs-3140	56	5	based	base	VERB
iajs-3140	56	6	on	on	ADP
iajs-3140	56	7	the	the	DET
iajs-3140	56	8	theory	theory	NOUN
iajs-3140	56	9	of	of	ADP
iajs-3140	56	10	non	non	ADJ
iajs-3140	56	11	-	-	ADJ
iajs-3140	56	12	linear	linear	ADJ
iajs-3140	56	13	green	green	ADJ
iajs-3140	56	14	strain	strain	NOUN
iajs-3140	56	15	.	.	PUNCT
iajs-3140	57	1	the	the	DET
iajs-3140	57	2	discrete	discrete	ADJ
iajs-3140	57	3	dynamic	dynamic	ADJ
iajs-3140	57	4	behavior	behavior	NOUN
iajs-3140	57	5	was	be	AUX
iajs-3140	57	6	derived	derive	VERB
iajs-3140	57	7	by	by	ADP
iajs-3140	57	8	applying	apply	VERB
iajs-3140	57	9	the	the	DET
iajs-3140	57	10	galerkin	galerkin	NOUN
iajs-3140	57	11	and	and	CCONJ
iajs-3140	57	12	hamilton	hamilton	PROPN
iajs-3140	57	13	principle	principle	PROPN
iajs-3140	57	14	to	to	PART
iajs-3140	57	15	find	find	VERB
iajs-3140	57	16	out	out	ADP
iajs-3140	57	17	the	the	DET
iajs-3140	57	18	chordwise	chordwise	ADJ
iajs-3140	57	19	and	and	CCONJ
iajs-3140	57	20	axial	axial	ADJ
iajs-3140	57	21	motions	motion	NOUN
iajs-3140	57	22	.	.	PUNCT
iajs-3140	58	1	the	the	DET
iajs-3140	58	2	model	model	NOUN
iajs-3140	58	3	was	be	AUX
iajs-3140	58	4	validated	validate	VERB
iajs-3140	58	5	with	with	ADP
iajs-3140	58	6	numerical	numerical	ADJ
iajs-3140	58	7	calculations	calculation	NOUN
iajs-3140	58	8	and	and	CCONJ
iajs-3140	58	9	the	the	DET
iajs-3140	58	10	comparison	comparison	NOUN
iajs-3140	58	11	revealed	reveal	VERB
iajs-3140	58	12	the	the	DET
iajs-3140	58	13	dynamic	dynamic	ADJ
iajs-3140	58	14	response	response	NOUN
iajs-3140	58	15	of	of	ADP
iajs-3140	58	16	the	the	DET
iajs-3140	58	17	beam	beam	NOUN
iajs-3140	58	18	is	be	AUX
iajs-3140	58	19	influenced	influence	VERB
iajs-3140	58	20	even	even	ADV
iajs-3140	58	21	with	with	ADP
iajs-3140	58	22	little	little	ADJ
iajs-3140	58	23	end	end	NOUN
iajs-3140	58	24	mass	mass	NOUN
iajs-3140	58	25	.	.	PUNCT
iajs-3140	59	1	in	in	ADP
iajs-3140	59	2	this	this	DET
iajs-3140	59	3	paper	paper	NOUN
iajs-3140	59	4	,	,	PUNCT
iajs-3140	59	5	it	it	PRON
iajs-3140	59	6	was	be	AUX
iajs-3140	59	7	presented	present	VERB
iajs-3140	59	8	full	full	ADJ
iajs-3140	59	9	details	detail	NOUN
iajs-3140	59	10	of	of	ADP
iajs-3140	59	11	the	the	DET
iajs-3140	59	12	mathematical	mathematical	ADJ
iajs-3140	59	13	modeling	modeling	NOUN
iajs-3140	59	14	for	for	ADP
iajs-3140	59	15	the	the	DET
iajs-3140	59	16	cantilever	cantilever	NOUN
iajs-3140	59	17	beam	beam	NOUN
iajs-3140	59	18	to	to	PART
iajs-3140	59	19	find	find	VERB
iajs-3140	59	20	the	the	DET
iajs-3140	59	21	dynamic	dynamic	ADJ
iajs-3140	59	22	response	response	NOUN
iajs-3140	59	23	(	(	PUNCT
iajs-3140	59	24	the	the	DET
iajs-3140	59	25	natural	natural	ADJ
iajs-3140	59	26	frequencies	frequency	NOUN
iajs-3140	59	27	)	)	PUNCT
iajs-3140	59	28	under	under	ADP
iajs-3140	59	29	different	different	ADJ
iajs-3140	59	30	working	work	VERB
iajs-3140	59	31	surrounding	surround	VERB
iajs-3140	59	32	conditions	condition	NOUN
iajs-3140	59	33	(	(	PUNCT
iajs-3140	59	34	temperatures	temperature	NOUN
iajs-3140	59	35	)	)	PUNCT
iajs-3140	59	36	.	.	PUNCT
iajs-3140	60	1	it	it	PRON
iajs-3140	60	2	was	be	AUX
iajs-3140	60	3	investigated	investigate	VERB
iajs-3140	60	4	the	the	DET
iajs-3140	60	5	effect	effect	NOUN
iajs-3140	60	6	of	of	ADP
iajs-3140	60	7	a	a	DET
iajs-3140	60	8	wide	wide	ADJ
iajs-3140	60	9	range	range	NOUN
iajs-3140	60	10	of	of	ADP
iajs-3140	60	11	temperatures	temperature	NOUN
iajs-3140	60	12	(	(	PUNCT
iajs-3140	60	13	-100	-100	PROPN
iajs-3140	60	14	℃	℃	PROPN
iajs-3140	60	15	to	to	ADP
iajs-3140	60	16	400	400	NUM
iajs-3140	60	17	℃	℃	PROPN
iajs-3140	60	18	)	)	PUNCT
iajs-3140	60	19	for	for	ADP
iajs-3140	60	20	the	the	DET
iajs-3140	60	21	selected	select	VERB
iajs-3140	60	22	alloy	alloy	NOUN
iajs-3140	60	23	(	(	PUNCT
iajs-3140	60	24	aisi	aisi	PROPN
iajs-3140	60	25	304	304	NUM
iajs-3140	60	26	austenitic	austenitic	ADJ
iajs-3140	60	27	stainless	stainless	ADJ
iajs-3140	60	28	steel).thedevelopment	steel).thedevelopment	NOUN
iajs-3140	60	29	of	of	ADP
iajs-3140	60	30	mathematical	mathematical	ADJ
iajs-3140	60	31	model	model	NOUN
iajs-3140	60	32	was	be	AUX
iajs-3140	60	33	started	start	VERB
iajs-3140	60	34	from	from	ADP
iajs-3140	60	35	scratch	scratch	NOUN
iajs-3140	60	36	to	to	PART
iajs-3140	60	37	find	find	VERB
iajs-3140	60	38	the	the	DET
iajs-3140	60	39	analytical	analytical	ADJ
iajs-3140	60	40	solution	solution	NOUN
iajs-3140	60	41	.	.	PUNCT
iajs-3140	61	1	this	this	DET
iajs-3140	61	2	analytical	analytical	ADJ
iajs-3140	61	3	solution	solution	NOUN
iajs-3140	61	4	takes	take	VERB
iajs-3140	61	5	intoaccount	intoaccount	NOUN
iajs-3140	61	6	the	the	DET
iajs-3140	61	7	effect	effect	NOUN
iajs-3140	61	8	of	of	ADP
iajs-3140	61	9	the	the	DET
iajs-3140	61	10	surrounding	surround	VERB
iajs-3140	61	11	temperatures	temperature	NOUN
iajs-3140	61	12	on	on	ADP
iajs-3140	61	13	the	the	DET
iajs-3140	61	14	material	material	NOUN
iajs-3140	61	15	properties	property	NOUN
iajs-3140	61	16	of	of	ADP
iajs-3140	61	17	the	the	DET
iajs-3140	61	18	beam	beam	NOUN
iajs-3140	61	19	.	.	PUNCT
iajs-3140	62	1	consequently	consequently	ADV
iajs-3140	62	2	,	,	PUNCT
iajs-3140	62	3	it	it	PRON
iajs-3140	62	4	can	can	AUX
iajs-3140	62	5	be	be	AUX
iajs-3140	62	6	found	find	VERB
iajs-3140	62	7	the	the	DET
iajs-3140	62	8	effect	effect	NOUN
iajs-3140	62	9	of	of	ADP
iajs-3140	62	10	the	the	DET
iajs-3140	62	11	surrounding	surround	VERB
iajs-3140	62	12	temperatures	temperature	NOUN
iajs-3140	62	13	on	on	ADP
iajs-3140	62	14	the	the	DET
iajs-3140	62	15	vibration	vibration	NOUN
iajs-3140	62	16	behaviour	behaviour	NOUN
iajs-3140	62	17	of	of	ADP
iajs-3140	62	18	the	the	DET
iajs-3140	62	19	cantilever	cantilever	NOUN
iajs-3140	62	20	beam	beam	NOUN
iajs-3140	62	21	(	(	PUNCT
iajs-3140	62	22	natural	natural	ADJ
iajs-3140	62	23	frequencies	frequency	NOUN
iajs-3140	62	24	)	)	PUNCT
iajs-3140	62	25	.	.	PUNCT
iajs-3140	63	1	a	a	DET
iajs-3140	63	2	new	new	ADJ
iajs-3140	63	3	matlab	matlab	PROPN
iajs-3140	63	4	code	code	NOUN
iajs-3140	63	5	was	be	AUX
iajs-3140	63	6	developed	develop	VERB
iajs-3140	63	7	to	to	PART
iajs-3140	63	8	achieve	achieve	VERB
iajs-3140	63	9	the	the	DET
iajs-3140	63	10	analytical	analytical	ADJ
iajs-3140	63	11	solution	solution	NOUN
iajs-3140	63	12	results	result	NOUN
iajs-3140	63	13	,	,	PUNCT
iajs-3140	63	14	considering	consider	VERB
iajs-3140	63	15	the	the	DET
iajs-3140	63	16	effect	effect	NOUN
iajs-3140	63	17	of	of	ADP
iajs-3140	63	18	some	some	DET
iajs-3140	63	19	beam	beam	NOUN
iajs-3140	63	20	geometrical	geometrical	ADJ
iajs-3140	63	21	dimensions	dimension	NOUN
iajs-3140	63	22	.	.	PUNCT
iajs-3140	64	1	ihjpas	ihjpas	PROPN
iajs-3140	64	2	.	.	PUNCT
iajs-3140	65	1	36	36	NUM
iajs-3140	65	2	(	(	PUNCT
iajs-3140	65	3	4	4	NUM
iajs-3140	65	4	)	)	PUNCT
iajs-3140	65	5	2023	2023	NUM
iajs-3140	65	6	432	432	NUM
iajs-3140	65	7	figure	figure	NOUN
iajs-3140	65	8	1	1	NUM
iajs-3140	65	9	.	.	PUNCT
iajs-3140	66	1	cantilever	cantilever	NOUN
iajs-3140	66	2	beam	beam	NOUN
iajs-3140	66	3	2	2	NUM
iajs-3140	66	4	.	.	PUNCT
iajs-3140	66	5	free	free	ADJ
iajs-3140	66	6	vibration	vibration	NOUN
iajs-3140	66	7	for	for	ADP
iajs-3140	66	8	cantilever	cantilever	NOUN
iajs-3140	66	9	beam	beam	VERB
iajs-3140	66	10	the	the	DET
iajs-3140	66	11	solution	solution	NOUN
iajs-3140	66	12	of	of	ADP
iajs-3140	66	13	free	free	ADJ
iajs-3140	66	14	vibration	vibration	NOUN
iajs-3140	66	15	for	for	ADP
iajs-3140	66	16	the	the	DET
iajs-3140	66	17	cantilever	cantilever	NOUN
iajs-3140	66	18	beam	beam	NOUN
iajs-3140	66	19	,	,	PUNCT
iajs-3140	66	20	shown	show	VERB
iajs-3140	66	21	in	in	ADP
iajs-3140	66	22	fig	fig	NOUN
iajs-3140	66	23	.	.	PUNCT
iajs-3140	67	1	1	1	NUM
iajs-3140	67	2	,	,	PUNCT
iajs-3140	67	3	is	be	AUX
iajs-3140	67	4	proposed	propose	VERB
iajs-3140	67	5	between	between	ADP
iajs-3140	67	6	the	the	DET
iajs-3140	67	7	perpendicular	perpendicular	NOUN
iajs-3140	67	8	and	and	CCONJ
iajs-3140	67	9	its	its	PRON
iajs-3140	67	10	centroidal	centroidal	ADJ
iajs-3140	67	11	axis	axis	NOUN
iajs-3140	67	12	.	.	PUNCT
iajs-3140	68	1	total	total	ADJ
iajs-3140	68	2	energy	energy	NOUN
iajs-3140	68	3	relation	relation	NOUN
iajs-3140	68	4	ships	ship	NOUN
iajs-3140	68	5	equation	equation	NOUN
iajs-3140	68	6	1	1	NUM
iajs-3140	68	7	shows	show	VERB
iajs-3140	68	8	the	the	DET
iajs-3140	68	9	strain	strain	NOUN
iajs-3140	68	10	energy	energy	NOUN
iajs-3140	68	11	(	(	PUNCT
iajs-3140	68	12	bv	bv	PROPN
iajs-3140	68	13	)	)	PUNCT
iajs-3140	68	14	of	of	ADP
iajs-3140	68	15	the	the	DET
iajs-3140	68	16	cantilever	cantilever	NOUN
iajs-3140	68	17	beam	beam	NOUN
iajs-3140	68	18	under	under	ADP
iajs-3140	68	19	bending	bend	VERB
iajs-3140	68	20	-	-	PUNCT
iajs-3140	68	21	bending	bend	VERB
iajs-3140	68	22	vibration	vibration	NOUN
iajs-3140	68	23	conditions	condition	NOUN
iajs-3140	68	24	[	[	X
iajs-3140	68	25	18	18	NUM
iajs-3140	68	26	]	]	X
iajs-3140	68	27	:	:	PUNCT
iajs-3140	68	28	dz	dz	PROPN
iajs-3140	68	29	z	z	PROPN
iajs-3140	68	30	pei	pei	PROPN
iajs-3140	69	1	z	z	PROPN
iajs-3140	70	1	p	p	X
iajs-3140	70	2	z	z	PROPN
iajs-3140	70	3	q	q	X
iajs-3140	70	4	ei	ei	X
iajs-3140	70	5	z	z	NOUN
iajs-3140	70	6	qei	qei	NOUN
iajs-3140	70	7	p	p	PROPN
iajs-3140	70	8	l	l	NOUN
iajs-3140	71	1	xx	xx	NUM
iajs-3140	71	2	xy	xy	INTJ
iajs-3140	72	1	yy	yy	PROPN
iajs-3140	72	2	b	b	PROPN
iajs-3140	72	3			X
iajs-3140	72	4			PROPN
iajs-3140	72	5			PROPN
iajs-3140	72	6			PRON
iajs-3140	72	7			NOUN
iajs-3140	72	8			VERB
iajs-3140	72	9			PROPN
iajs-3140	72	10			ADJ
iajs-3140	72	11			PROPN
iajs-3140	72	12			PROPN
iajs-3140	72	13			ADJ
iajs-3140	72	14			ADJ
iajs-3140	72	15			PROPN
iajs-3140	72	16			PROPN
iajs-3140	72	17			PROPN
iajs-3140	72	18			ADJ
iajs-3140	72	19			PROPN
iajs-3140	73	1			NUM
iajs-3140	73	2	0	0	NUM
iajs-3140	73	3	2	2	NUM
iajs-3140	73	4	2	2	NUM
iajs-3140	73	5	2	2	NUM
iajs-3140	73	6	2	2	NUM
iajs-3140	73	7	2	2	NUM
iajs-3140	73	8	2	2	NUM
iajs-3140	73	9	2	2	NUM
iajs-3140	73	10	2	2	NUM
iajs-3140	73	11	2	2	NUM
iajs-3140	73	12	)	)	PUNCT
iajs-3140	73	13	(	(	PUNCT
iajs-3140	73	14	2	2	NUM
iajs-3140	73	15	)	)	PUNCT
iajs-3140	73	16	)	)	PUNCT
iajs-3140	73	17	.	.	PUNCT
iajs-3140	74	1	(	(	PUNCT
iajs-3140	74	2	(	(	PUNCT
iajs-3140	74	3	)	)	PUNCT
iajs-3140	74	4	(	(	PUNCT
iajs-3140	74	5	2	2	NUM
iajs-3140	74	6	(	(	PUNCT
iajs-3140	74	7	1	1	NUM
iajs-3140	74	8	)	)	PUNCT
iajs-3140	74	9	energy	energy	NOUN
iajs-3140	74	10	is	be	AUX
iajs-3140	74	11	expressed	express	VERB
iajs-3140	74	12	by	by	ADP
iajs-3140	74	13	when	when	SCONJ
iajs-3140	74	14	the	the	DET
iajs-3140	74	15	beam	beam	NOUN
iajs-3140	74	16	is	be	AUX
iajs-3140	74	17	subjected	subject	VERB
iajs-3140	74	18	to	to	ADP
iajs-3140	74	19	torsional	torsional	ADJ
iajs-3140	74	20	vibration	vibration	NOUN
iajs-3140	74	21	,	,	PUNCT
iajs-3140	74	22	its	its	PRON
iajs-3140	74	23	strain	strain	NOUN
iajs-3140	74	24	equation	equation	NOUN
iajs-3140	74	25	2	2	NUM
iajs-3140	74	26	:	:	PUNCT
iajs-3140	74	27	dzdbhb	dzdbhb	NOUN
iajs-3140	74	28	zz	zz	PROPN
iajs-3140	74	29	e	e	X
iajs-3140	74	30	z	z	NOUN
iajs-3140	74	31	c	c	PROPN
iajs-3140	74	32	p	p	NOUN
iajs-3140	74	33	l	l	NOUN
iajs-3140	74	34	a	a	NOUN
iajs-3140	74	35	t	t	NOUN
iajs-3140	74	36			NOUN
iajs-3140	74	37			PUNCT
iajs-3140	75	1			PROPN
iajs-3140	75	2			PROPN
iajs-3140	75	3			NOUN
iajs-3140	75	4			NOUN
iajs-3140	75	5			VERB
iajs-3140	75	6			PROPN
iajs-3140	75	7			ADJ
iajs-3140	75	8			ADJ
iajs-3140	75	9			ADJ
iajs-3140	75	10			ADJ
iajs-3140	75	11			PROPN
iajs-3140	75	12			PROPN
iajs-3140	75	13			PROPN
iajs-3140	76	1			NUM
iajs-3140	76	2	0	0	NUM
iajs-3140	76	3	32	32	NUM
iajs-3140	76	4	3	3	NUM
iajs-3140	76	5	3	3	NUM
iajs-3140	76	6	2	2	NUM
iajs-3140	76	7	)	)	PUNCT
iajs-3140	76	8	)	)	PUNCT
iajs-3140	76	9	.	.	PUNCT
iajs-3140	77	1	(	(	PUNCT
iajs-3140	77	2	(	(	PUNCT
iajs-3140	77	3	24	24	NUM
iajs-3140	77	4	)	)	PUNCT
iajs-3140	77	5	(	(	PUNCT
iajs-3140	77	6	2	2	NUM
iajs-3140	77	7			NOUN
iajs-3140	77	8	(	(	PUNCT
iajs-3140	77	9	2	2	X
iajs-3140	77	10	)	)	PUNCT
iajs-3140	77	11	considering	consider	VERB
iajs-3140	77	12	that	that	SCONJ
iajs-3140	77	13	the	the	DET
iajs-3140	77	14	beam	beam	NOUN
iajs-3140	77	15	has	have	VERB
iajs-3140	77	16	a	a	DET
iajs-3140	77	17	uniform	uniform	ADJ
iajs-3140	77	18	cross	cross	NOUN
iajs-3140	77	19	-	-	NOUN
iajs-3140	77	20	section	section	NOUN
iajs-3140	77	21	with	with	ADP
iajs-3140	77	22	a	a	DET
iajs-3140	77	23	small	small	ADJ
iajs-3140	77	24	thickness	thickness	NOUN
iajs-3140	77	25	(	(	PUNCT
iajs-3140	77	26	t	t	PROPN
iajs-3140	77	27	)	)	PUNCT
iajs-3140	77	28	.	.	PUNCT
iajs-3140	78	1	therefore	therefore	ADV
iajs-3140	78	2	,	,	PUNCT
iajs-3140	78	3	merging	merge	VERB
iajs-3140	78	4	the	the	DET
iajs-3140	78	5	above	above	ADJ
iajs-3140	78	6	two	two	NUM
iajs-3140	78	7	equations	equation	NOUN
iajs-3140	78	8	yields	yield	VERB
iajs-3140	78	9	the	the	DET
iajs-3140	78	10	beam	beam	NOUN
iajs-3140	78	11	strain	strain	NOUN
iajs-3140	78	12	energy	energy	NOUN
iajs-3140	78	13	punder	punder	NOUN
iajs-3140	78	14	bendingbending	bendingbending	NOUN
iajs-3140	78	15	-	-	PUNCT
iajs-3140	78	16	torsion	torsion	NOUN
iajs-3140	78	17	conditions	condition	NOUN
iajs-3140	78	18	:	:	PUNCT
iajs-3140	78	19	dz	dz	ADJ
iajs-3140	78	20	h	h	NOUN
iajs-3140	78	21			NOUN
iajs-3140	78	22			PUNCT
iajs-3140	79	1			PROPN
iajs-3140	79	2			PUNCT
iajs-3140	79	3			NOUN
iajs-3140	79	4			PROPN
iajs-3140	79	5			PROPN
iajs-3140	79	6			X
iajs-3140	79	7			NOUN
iajs-3140	79	8			NOUN
iajs-3140	79	9			NOUN
iajs-3140	79	10			NOUN
iajs-3140	79	11			NOUN
iajs-3140	79	12			PROPN
iajs-3140	79	13			ADJ
iajs-3140	79	14			ADJ
iajs-3140	79	15			ADJ
iajs-3140	79	16			ADJ
iajs-3140	79	17			PROPN
iajs-3140	79	18			PROPN
iajs-3140	79	19			PROPN
iajs-3140	79	20			PROPN
iajs-3140	79	21			PROPN
iajs-3140	79	22			PROPN
iajs-3140	79	23			PROPN
iajs-3140	79	24			ADJ
iajs-3140	79	25			ADJ
iajs-3140	79	26			PROPN
iajs-3140	79	27			PROPN
iajs-3140	79	28			PROPN
iajs-3140	79	29			ADJ
iajs-3140	79	30			PROPN
iajs-3140	79	31			PROPN
iajs-3140	79	32	l	l	NOUN
iajs-3140	79	33	0	0	PUNCT
iajs-3140	80	1	a	a	DET
iajs-3140	80	2	32	32	NUM
iajs-3140	80	3	3	3	NUM
iajs-3140	80	4	3	3	NUM
iajs-3140	80	5	2	2	NUM
iajs-3140	80	6	2	2	NUM
iajs-3140	80	7	2	2	NUM
iajs-3140	80	8	xx	xx	NUM
iajs-3140	80	9	2	2	NUM
iajs-3140	80	10	2	2	NUM
iajs-3140	80	11	2	2	NUM
iajs-3140	80	12	2	2	NUM
iajs-3140	80	13	xy	xy	NOUN
iajs-3140	80	14	2	2	NUM
iajs-3140	80	15	2	2	NUM
iajs-3140	80	16	2	2	NUM
iajs-3140	80	17	yy	yy	NOUN
iajs-3140	80	18	c	c	PROPN
iajs-3140	80	19	dbb	dbb	PROPN
iajs-3140	80	20	)	)	PUNCT
iajs-3140	80	21	z	z	NOUN
iajs-3140	80	22	)	)	PUNCT
iajs-3140	80	23	.	.	PUNCT
iajs-3140	81	1	(	(	PUNCT
iajs-3140	81	2	z	z	X
iajs-3140	81	3	(	(	PUNCT
iajs-3140	81	4	24	24	NUM
iajs-3140	81	5	e	e	NOUN
iajs-3140	81	6	)	)	PUNCT
iajs-3140	81	7	z	z	NOUN
iajs-3140	81	8	(	(	PUNCT
iajs-3140	81	9	2	2	NUM
iajs-3140	81	10	c	c	NOUN
iajs-3140	81	11	)	)	PUNCT
iajs-3140	82	1	z	z	NOUN
iajs-3140	82	2	p	p	NOUN
iajs-3140	82	3	(	(	PUNCT
iajs-3140	82	4	2	2	NUM
iajs-3140	82	5	ei	ei	NOUN
iajs-3140	82	6	)	)	PUNCT
iajs-3140	82	7	z	z	PROPN
iajs-3140	82	8	p	p	NOUN
iajs-3140	82	9	)	)	PUNCT
iajs-3140	82	10	.	.	PUNCT
iajs-3140	83	1	(	(	PUNCT
iajs-3140	83	2	z	z	NOUN
iajs-3140	83	3	q	q	X
iajs-3140	83	4	(	(	PUNCT
iajs-3140	83	5	ei	ei	NOUN
iajs-3140	83	6	)	)	PUNCT
iajs-3140	83	7	z	z	NOUN
iajs-3140	83	8	q	q	NOUN
iajs-3140	84	1	(	(	PUNCT
iajs-3140	84	2	2	2	NUM
iajs-3140	84	3	ei	ei	NOUN
iajs-3140	84	4	p	p	NOUN
iajs-3140	84	5			ADJ
iajs-3140	84	6			PROPN
iajs-3140	84	7	vt	vt	PROPN
iajs-3140	84	8	c	c	PROPN
iajs-3140	84	9	l	l	PROPN
iajs-3140	84	10	w	w	PROPN
iajs-3140	84	11	t	t	PROPN
iajs-3140	84	12	ihjpas	ihjpa	VERB
iajs-3140	84	13	.	.	PUNCT
iajs-3140	85	1	36	36	NUM
iajs-3140	85	2	(	(	PUNCT
iajs-3140	85	3	4	4	NUM
iajs-3140	85	4	)	)	PUNCT
iajs-3140	85	5	2023	2023	NUM
iajs-3140	85	6	433	433	NUM
iajs-3140	85	7	(	(	PUNCT
iajs-3140	85	8	3	3	X
iajs-3140	85	9	)	)	PUNCT
iajs-3140	85	10	if	if	SCONJ
iajs-3140	85	11	the	the	DET
iajs-3140	85	12	gravitational	gravitational	ADJ
iajs-3140	85	13	influence	influence	NOUN
iajs-3140	85	14	is	be	AUX
iajs-3140	85	15	neglected	neglect	VERB
iajs-3140	85	16	,	,	PUNCT
iajs-3140	85	17	the	the	DET
iajs-3140	85	18	pc	pc	NOUN
iajs-3140	85	19	will	will	AUX
iajs-3140	85	20	equal	equal	VERB
iajs-3140	85	21	the	the	DET
iajs-3140	85	22	total	total	ADJ
iajs-3140	85	23	potential	potential	ADJ
iajs-3140	85	24	energy	energy	NOUN
iajs-3140	85	25	(	(	PUNCT
iajs-3140	85	26	p	p	NOUN
iajs-3140	85	27	)	)	PUNCT
iajs-3140	85	28	.	.	PUNCT
iajs-3140	86	1	further	far	ADV
iajs-3140	86	2	,	,	PUNCT
iajs-3140	86	3	the	the	DET
iajs-3140	86	4	total	total	ADJ
iajs-3140	86	5	kinetic	kinetic	ADJ
iajs-3140	86	6	energy	energy	NOUN
iajs-3140	86	7	(	(	PUNCT
iajs-3140	86	8	t	t	NOUN
iajs-3140	86	9	)	)	PUNCT
iajs-3140	86	10	of	of	ADP
iajs-3140	86	11	the	the	DET
iajs-3140	86	12	cantilever	cantilever	NOUN
iajs-3140	86	13	beam	beam	NOUN
iajs-3140	86	14	exposed	expose	VERB
iajs-3140	86	15	to	to	ADP
iajs-3140	86	16	integrated	integrated	ADJ
iajs-3140	86	17	bending	bending	NOUN
iajs-3140	86	18	–	–	PUNCT
iajs-3140	86	19	torsion	torsion	NOUN
iajs-3140	86	20	is	be	AUX
iajs-3140	86	21	illustrated	illustrate	VERB
iajs-3140	86	22	by	by	ADP
iajs-3140	86	23	dz	dz	PROPN
iajs-3140	86	24	t	t	PROPN
iajs-3140	87	1	i	i	PRON
iajs-3140	87	2	rp	rp	VERB
iajs-3140	87	3	tg	tg	PROPN
iajs-3140	87	4	w	w	PROPN
iajs-3140	87	5	rq	rq	INTJ
iajs-3140	87	6	tg	tg	PROPN
iajs-3140	87	7	w	w	PROPN
iajs-3140	87	8	t	t	PROPN
iajs-3140	87	9	l	l	PROPN
iajs-3140	87	10	gc	gc	PROPN
iajs-3140	87	11	xy	xy	PROPN
iajs-3140	87	12			PROPN
iajs-3140	87	13			PROPN
iajs-3140	87	14			X
iajs-3140	87	15			NOUN
iajs-3140	87	16			VERB
iajs-3140	87	17			PROPN
iajs-3140	87	18			ADJ
iajs-3140	87	19			ADJ
iajs-3140	87	20			ADJ
iajs-3140	87	21			ADJ
iajs-3140	87	22			X
iajs-3140	88	1			ADJ
iajs-3140	88	2			ADJ
iajs-3140	88	3			X
iajs-3140	89	1			NOUN
iajs-3140	89	2	0	0	NUM
iajs-3140	89	3	2.22	2.22	NUM
iajs-3140	89	4	)	)	PUNCT
iajs-3140	89	5	(	(	PUNCT
iajs-3140	89	6	2	2	NUM
iajs-3140	89	7	)	)	PUNCT
iajs-3140	89	8	)	)	PUNCT
iajs-3140	90	1	(	(	PUNCT
iajs-3140	90	2	(	(	PUNCT
iajs-3140	90	3	2	2	NUM
iajs-3140	90	4	)	)	PUNCT
iajs-3140	90	5	)	)	PUNCT
iajs-3140	90	6	(	(	PUNCT
iajs-3140	90	7	(	(	PUNCT
iajs-3140	90	8	2	2	NUM
iajs-3140	90	9			NOUN
iajs-3140	90	10			NOUN
iajs-3140	90	11	(	(	PUNCT
iajs-3140	90	12	4	4	NUM
iajs-3140	90	13	)	)	PUNCT
iajs-3140	90	14	thus	thus	ADV
iajs-3140	90	15	,	,	PUNCT
iajs-3140	90	16	shown	show	VERB
iajs-3140	90	17	below	below	ADP
iajs-3140	90	18	refers	refer	NOUN
iajs-3140	90	19	to	to	ADP
iajs-3140	90	20	the	the	DET
iajs-3140	90	21	lagrangian	lagrangian	ADJ
iajs-3140	90	22	function	function	NOUN
iajs-3140	90	23	that	that	SCONJ
iajs-3140	90	24	yields	yield	VERB
iajs-3140	90	25	from	from	ADP
iajs-3140	90	26	subtracting	subtract	VERB
iajs-3140	90	27	kinetic	kinetic	ADJ
iajs-3140	90	28	frompotential	frompotential	ADJ
iajs-3140	90	29	energies	energy	NOUN
iajs-3140	90	30	(	(	PUNCT
iajs-3140	90	31	l	l	NOUN
iajs-3140	90	32	=	=	NOUN
iajs-3140	90	33	t	t	PROPN
iajs-3140	90	34	-	-	PUNCT
iajs-3140	90	35	p	p	NOUN
iajs-3140	90	36	)	)	PUNCT
iajs-3140	90	37	.	.	PUNCT
iajs-3140	91	1			NOUN
iajs-3140	92	1			PUNCT
iajs-3140	92	2			NOUN
iajs-3140	92	3			PROPN
iajs-3140	92	4	dz	dz	PROPN
iajs-3140	92	5	zz	zz	X
iajs-3140	92	6	e	e	PROPN
iajs-3140	92	7	z	z	PROPN
iajs-3140	92	8	c	c	PROPN
iajs-3140	92	9	z	z	PROPN
iajs-3140	92	10	pei	pei	PROPN
iajs-3140	92	11	z	z	PROPN
iajs-3140	93	1	p	p	X
iajs-3140	93	2	z	z	PROPN
iajs-3140	93	3	q	q	X
iajs-3140	93	4	ei	ei	X
iajs-3140	94	1	z	z	NOUN
iajs-3140	94	2	qei	qei	NOUN
iajs-3140	94	3	t	t	NOUN
iajs-3140	95	1	i	i	PRON
iajs-3140	95	2	rp	rp	VERB
iajs-3140	95	3	tg	tg	PROPN
iajs-3140	95	4	w	w	PROPN
iajs-3140	95	5	rq	rq	INTJ
iajs-3140	95	6	tg	tg	PROPN
iajs-3140	95	7	w	w	PROPN
iajs-3140	95	8	l	l	PROPN
iajs-3140	95	9	a	a	DET
iajs-3140	95	10	dbhbxx	dbhbxx	PROPN
iajs-3140	96	1	xy	xy	PROPN
iajs-3140	96	2	yygc	yygc	PROPN
iajs-3140	96	3	xy	xy	X
iajs-3140	96	4			PUNCT
iajs-3140	96	5			PROPN
iajs-3140	97	1			PROPN
iajs-3140	97	2			PUNCT
iajs-3140	98	1			PUNCT
iajs-3140	98	2			NOUN
iajs-3140	98	3			PROPN
iajs-3140	98	4			PROPN
iajs-3140	98	5			X
iajs-3140	98	6			NOUN
iajs-3140	98	7			NOUN
iajs-3140	98	8			NOUN
iajs-3140	98	9			NOUN
iajs-3140	98	10			NOUN
iajs-3140	98	11			NOUN
iajs-3140	98	12			NOUN
iajs-3140	98	13			PROPN
iajs-3140	98	14			NUM
iajs-3140	98	15			NUM
iajs-3140	98	16			NOUN
iajs-3140	98	17			PROPN
iajs-3140	98	18			NOUN
iajs-3140	98	19			NOUN
iajs-3140	98	20			PROPN
iajs-3140	98	21			PROPN
iajs-3140	98	22			PROPN
iajs-3140	98	23			NOUN
iajs-3140	98	24			PROPN
iajs-3140	98	25			PROPN
iajs-3140	99	1			PROPN
iajs-3140	99	2			PROPN
iajs-3140	99	3			PRON
iajs-3140	99	4			PROPN
iajs-3140	99	5			PROPN
iajs-3140	99	6			NOUN
iajs-3140	99	7			PROPN
iajs-3140	99	8			ADJ
iajs-3140	99	9			NOUN
iajs-3140	99	10			NUM
iajs-3140	99	11			PRON
iajs-3140	99	12			PROPN
iajs-3140	99	13			PROPN
iajs-3140	99	14			NOUN
iajs-3140	99	15			PROPN
iajs-3140	99	16			ADJ
iajs-3140	99	17			NOUN
iajs-3140	99	18			NOUN
iajs-3140	99	19			PROPN
iajs-3140	99	20			PROPN
iajs-3140	99	21			PROPN
iajs-3140	99	22			NOUN
iajs-3140	99	23			PROPN
iajs-3140	99	24			ADJ
iajs-3140	99	25			NOUN
iajs-3140	99	26			NOUN
iajs-3140	99	27			PROPN
iajs-3140	99	28			PROPN
iajs-3140	99	29			PROPN
iajs-3140	99	30			NOUN
iajs-3140	99	31			ADJ
iajs-3140	99	32			PROPN
iajs-3140	99	33			NOUN
iajs-3140	99	34			PROPN
iajs-3140	99	35			PROPN
iajs-3140	99	36			PROPN
iajs-3140	99	37			PROPN
iajs-3140	99	38			NOUN
iajs-3140	99	39			ADJ
iajs-3140	99	40			ADJ
iajs-3140	99	41			PROPN
iajs-3140	99	42			NUM
iajs-3140	99	43			NUM
iajs-3140	99	44			ADP
iajs-3140	99	45			NOUN
iajs-3140	99	46			NOUN
iajs-3140	99	47			PROPN
iajs-3140	99	48			PROPN
iajs-3140	99	49			PROPN
iajs-3140	99	50			NOUN
iajs-3140	99	51			PROPN
iajs-3140	99	52			PROPN
iajs-3140	99	53			NOUN
iajs-3140	99	54			NUM
iajs-3140	99	55			NUM
iajs-3140	99	56			PROPN
iajs-3140	99	57			PROPN
iajs-3140	99	58			NOUN
iajs-3140	99	59			NUM
iajs-3140	99	60			NUM
iajs-3140	99	61			ADP
iajs-3140	100	1			PROPN
iajs-3140	100	2			NOUN
iajs-3140	100	3			PRON
iajs-3140	100	4			PROPN
iajs-3140	100	5			PROPN
iajs-3140	100	6			NOUN
iajs-3140	100	7			PROPN
iajs-3140	100	8			ADJ
iajs-3140	100	9			ADP
iajs-3140	100	10			NOUN
iajs-3140	100	11			PRON
iajs-3140	100	12			PROPN
iajs-3140	100	13			PROPN
iajs-3140	100	14			NOUN
iajs-3140	100	15			VERB
iajs-3140	100	16			PROPN
iajs-3140	100	17			X
iajs-3140	100	18			ADP
iajs-3140	100	19			NOUN
iajs-3140	100	20			PRON
iajs-3140	100	21			PROPN
iajs-3140	100	22			PROPN
iajs-3140	100	23			NOUN
iajs-3140	100	24			VERB
iajs-3140	100	25			PROPN
iajs-3140	100	26			X
iajs-3140	100	27			NUM
iajs-3140	100	28			PUNCT
iajs-3140	100	29	l	l	NOUN
iajs-3140	100	30	0	0	NUM
iajs-3140	101	1	32	32	NUM
iajs-3140	101	2	3	3	NUM
iajs-3140	101	3	322	322	NUM
iajs-3140	101	4	2	2	NUM
iajs-3140	101	5	2	2	NUM
iajs-3140	101	6	2	2	NUM
iajs-3140	101	7	2	2	NUM
iajs-3140	101	8	2	2	NUM
iajs-3140	101	9	2	2	NUM
iajs-3140	101	10	2	2	NUM
iajs-3140	101	11	2	2	NUM
iajs-3140	101	12	22	22	NUM
iajs-3140	101	13	.	.	PUNCT
iajs-3140	102	1	22	22	NUM
iajs-3140	102	2	2422	2422	NUM
iajs-3140	102	3	2222	2222	NUM
iajs-3140	102	4			NOUN
iajs-3140	102	5			NOUN
iajs-3140	102	6			NOUN
iajs-3140	102	7	(	(	PUNCT
iajs-3140	102	8	5	5	NUM
iajs-3140	102	9	)	)	PUNCT
iajs-3140	102	10	if	if	SCONJ
iajs-3140	102	11	hamilton	hamilton	PROPN
iajs-3140	102	12	's	's	PART
iajs-3140	102	13	principal	principal	NOUN
iajs-3140	102	14	(	(	PUNCT
iajs-3140	102	15	16	16	NUM
iajs-3140	102	16	)	)	PUNCT
iajs-3140	102	17	(	(	PUNCT
iajs-3140	102	18			ADP
iajs-3140	102	19	1	1	NUM
iajs-3140	102	20	0	0	NUM
iajs-3140	102	21	t	t	NOUN
iajs-3140	102	22	t	t	PROPN
iajs-3140	102	23	ldt	ldt	PROPN
iajs-3140	102	24	)	)	PUNCT
iajs-3140	102	25	is	be	AUX
iajs-3140	102	26	applied	apply	VERB
iajs-3140	102	27	,	,	PUNCT
iajs-3140	102	28	we	we	PRON
iajs-3140	102	29	get	get	VERB
iajs-3140	102	30	:	:	PUNCT
iajs-3140	102	31			NOUN
iajs-3140	102	32			PROPN
iajs-3140	102	33			NOUN
iajs-3140	102	34			PROPN
iajs-3140	102	35	dtdz	dtdz	VERB
iajs-3140	102	36	zz	zz	X
iajs-3140	102	37	e	e	X
iajs-3140	102	38	z	z	PROPN
iajs-3140	102	39	c	c	PROPN
iajs-3140	102	40	z	z	PROPN
iajs-3140	102	41	pei	pei	PROPN
iajs-3140	103	1	z	z	PROPN
iajs-3140	104	1	p	p	X
iajs-3140	104	2	z	z	PROPN
iajs-3140	104	3	q	q	X
iajs-3140	104	4	ei	ei	X
iajs-3140	105	1	z	z	NOUN
iajs-3140	105	2	qei	qei	NOUN
iajs-3140	105	3	t	t	NOUN
iajs-3140	106	1	i	i	PRON
iajs-3140	106	2	rp	rp	VERB
iajs-3140	107	1	tg	tg	PROPN
iajs-3140	107	2	w	w	PROPN
iajs-3140	107	3	rq	rq	INTJ
iajs-3140	107	4	tg	tg	PROPN
iajs-3140	107	5	w	w	PROPN
iajs-3140	107	6	dtl	dtl	PROPN
iajs-3140	107	7	a	a	DET
iajs-3140	107	8	dbhbxx	dbhbxx	PROPN
iajs-3140	108	1	xy	xy	PROPN
iajs-3140	108	2	yygc	yygc	PROPN
iajs-3140	109	1	xy	xy	PROPN
iajs-3140	109	2	t	t	PROPN
iajs-3140	109	3	t	t	PROPN
iajs-3140	109	4	t	t	PROPN
iajs-3140	109	5	t	t	PROPN
iajs-3140	109	6	oo	oo	INTJ
iajs-3140	109	7			INTJ
iajs-3140	109	8			NOUN
iajs-3140	110	1			PROPN
iajs-3140	111	1			PUNCT
iajs-3140	111	2			PUNCT
iajs-3140	112	1			NOUN
iajs-3140	112	2			PROPN
iajs-3140	112	3			PROPN
iajs-3140	112	4			X
iajs-3140	112	5			NOUN
iajs-3140	112	6			NOUN
iajs-3140	112	7			NOUN
iajs-3140	112	8			NOUN
iajs-3140	112	9			NOUN
iajs-3140	112	10			NOUN
iajs-3140	112	11			NOUN
iajs-3140	112	12			PROPN
iajs-3140	112	13			NUM
iajs-3140	112	14			NUM
iajs-3140	112	15			PROPN
iajs-3140	112	16			PROPN
iajs-3140	112	17			INTJ
iajs-3140	112	18			PROPN
iajs-3140	113	1			NOUN
iajs-3140	114	1			PROPN
iajs-3140	114	2			PROPN
iajs-3140	114	3			PROPN
iajs-3140	114	4			PROPN
iajs-3140	114	5			NOUN
iajs-3140	114	6			PROPN
iajs-3140	114	7			PROPN
iajs-3140	114	8			PROPN
iajs-3140	114	9			PROPN
iajs-3140	114	10			PRON
iajs-3140	114	11			PROPN
iajs-3140	114	12			PROPN
iajs-3140	114	13			NOUN
iajs-3140	114	14			PROPN
iajs-3140	114	15			ADJ
iajs-3140	114	16			NOUN
iajs-3140	114	17			NUM
iajs-3140	114	18			PRON
iajs-3140	114	19			PROPN
iajs-3140	114	20			PROPN
iajs-3140	114	21			NOUN
iajs-3140	114	22			PROPN
iajs-3140	114	23			PROPN
iajs-3140	114	24			ADP
iajs-3140	114	25			PROPN
iajs-3140	114	26			NOUN
iajs-3140	114	27			PROPN
iajs-3140	114	28			PROPN
iajs-3140	114	29			PROPN
iajs-3140	115	1			PROPN
iajs-3140	115	2			NOUN
iajs-3140	115	3			PROPN
iajs-3140	115	4			PROPN
iajs-3140	115	5			ADP
iajs-3140	115	6			PROPN
iajs-3140	115	7			NOUN
iajs-3140	116	1			PROPN
iajs-3140	116	2			PROPN
iajs-3140	116	3			PROPN
iajs-3140	117	1			PROPN
iajs-3140	117	2			NOUN
iajs-3140	117	3			PROPN
iajs-3140	117	4			PROPN
iajs-3140	117	5			PROPN
iajs-3140	117	6			PROPN
iajs-3140	117	7			NOUN
iajs-3140	118	1			PROPN
iajs-3140	118	2			PROPN
iajs-3140	118	3			PROPN
iajs-3140	119	1			PROPN
iajs-3140	119	2			NOUN
iajs-3140	119	3			PROPN
iajs-3140	119	4			ADJ
iajs-3140	119	5			PROPN
iajs-3140	119	6			NUM
iajs-3140	119	7			NUM
iajs-3140	119	8			ADV
iajs-3140	119	9			PROPN
iajs-3140	120	1			PROPN
iajs-3140	120	2			NOUN
iajs-3140	121	1			PROPN
iajs-3140	121	2			PROPN
iajs-3140	121	3			PROPN
iajs-3140	122	1			PROPN
iajs-3140	122	2			NOUN
iajs-3140	122	3			PROPN
iajs-3140	122	4			PROPN
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iajs-3140	122	6			NUM
iajs-3140	122	7			NUM
iajs-3140	122	8			PROPN
iajs-3140	122	9			PROPN
iajs-3140	122	10			NOUN
iajs-3140	122	11			NUM
iajs-3140	122	12			NUM
iajs-3140	122	13			ADP
iajs-3140	123	1			PROPN
iajs-3140	123	2			NOUN
iajs-3140	123	3			PRON
iajs-3140	123	4			PROPN
iajs-3140	123	5			PROPN
iajs-3140	123	6			NOUN
iajs-3140	123	7			PROPN
iajs-3140	123	8			ADJ
iajs-3140	123	9			ADP
iajs-3140	123	10			NOUN
iajs-3140	123	11			PRON
iajs-3140	123	12			PROPN
iajs-3140	123	13			PROPN
iajs-3140	123	14			NOUN
iajs-3140	123	15			VERB
iajs-3140	123	16			PROPN
iajs-3140	123	17			X
iajs-3140	123	18			ADP
iajs-3140	123	19			NOUN
iajs-3140	123	20			PRON
iajs-3140	123	21			PROPN
iajs-3140	123	22			PROPN
iajs-3140	123	23			NOUN
iajs-3140	123	24			VERB
iajs-3140	123	25			PROPN
iajs-3140	123	26			X
iajs-3140	123	27			NUM
iajs-3140	123	28			PUNCT
iajs-3140	123	29	l	l	NOUN
iajs-3140	123	30	0	0	NUM
iajs-3140	124	1	32	32	NUM
iajs-3140	124	2	3	3	NUM
iajs-3140	124	3	322	322	NUM
iajs-3140	124	4	2	2	NUM
iajs-3140	124	5	2	2	NUM
iajs-3140	124	6	2	2	NUM
iajs-3140	124	7	2	2	NUM
iajs-3140	124	8	2	2	NUM
iajs-3140	124	9	2	2	NUM
iajs-3140	124	10	2	2	NUM
iajs-3140	124	11	2	2	NUM
iajs-3140	124	12	22	22	NUM
iajs-3140	124	13	.	.	PUNCT
iajs-3140	125	1	22	22	NUM
iajs-3140	125	2	2422	2422	NUM
iajs-3140	125	3	222211	222211	NUM
iajs-3140	125	4			NOUN
iajs-3140	125	5			NOUN
iajs-3140	125	6			NOUN
iajs-3140	125	7	(	(	PUNCT
iajs-3140	125	8	6	6	NUM
iajs-3140	125	9	)	)	PUNCT
iajs-3140	125	10	also	also	ADV
iajs-3140	125	11	,	,	PUNCT
iajs-3140	125	12	it	it	PRON
iajs-3140	125	13	can	can	AUX
iajs-3140	125	14	be	be	AUX
iajs-3140	125	15	expressed	express	VERB
iajs-3140	125	16	as	as	ADP
iajs-3140	125	17	in	in	ADP
iajs-3140	125	18	:	:	PUNCT
iajs-3140	125	19			NOUN
iajs-3140	125	20			PRON
iajs-3140	125	21			PUNCT
iajs-3140	126	1			PROPN
iajs-3140	126	2	1	1	NUM
iajs-3140	126	3	0	0	NUM
iajs-3140	126	4	t	t	NOUN
iajs-3140	126	5	to	to	ADP
iajs-3140	126	6	l	l	PROPN
iajs-3140	126	7	dtdz	dtdz	PROPN
iajs-3140	126	8	(	(	PUNCT
iajs-3140	126	9	7	7	NUM
iajs-3140	126	10	)	)	PUNCT
iajs-3140	126	11	where	where	SCONJ
iajs-3140	126	12	ldz	ldz	PROPN
iajs-3140	126	13	l	l	NOUN
iajs-3140	126	14			PROPN
iajs-3140	126	15	)	)	PUNCT
iajs-3140	126	16	(	(	PUNCT
iajs-3140	126	17	0	0	NUM
iajs-3140	126	18	ф	ф	NOUN
iajs-3140	126	19	represents	represent	VERB
iajs-3140	126	20	the	the	DET
iajs-3140	126	21	variational	variational	ADJ
iajs-3140	126	22	function	function	NOUN
iajs-3140	126	23	.	.	PUNCT
iajs-3140	127	1	ihjpas	ihjpas	PROPN
iajs-3140	127	2	.	.	PUNCT
iajs-3140	128	1	36	36	NUM
iajs-3140	128	2	(	(	PUNCT
iajs-3140	128	3	4	4	NUM
iajs-3140	128	4	)	)	PUNCT
iajs-3140	128	5	2023	2023	NUM
iajs-3140	128	6	434	434	NUM
iajs-3140	128	7	equations	equation	NOUN
iajs-3140	128	8	of	of	ADP
iajs-3140	128	9	motions	motion	NOUN
iajs-3140	128	10	fig	fig	NOUN
iajs-3140	128	11	.	.	PUNCT
iajs-3140	129	1	1	1	NUM
iajs-3140	129	2	illustrates	illustrate	VERB
iajs-3140	129	3	the	the	DET
iajs-3140	129	4	section	section	NOUN
iajs-3140	129	5	of	of	ADP
iajs-3140	129	6	the	the	DET
iajs-3140	129	7	cantilever	cantilever	NOUN
iajs-3140	129	8	beam	beam	NOUN
iajs-3140	129	9	with	with	ADP
iajs-3140	129	10	centroid	centroid	NOUN
iajs-3140	129	11	to	to	PART
iajs-3140	129	12	flexure	flexure	VERB
iajs-3140	129	13	center	center	NOUN
iajs-3140	129	14	position	position	NOUN
iajs-3140	129	15	.	.	PUNCT
iajs-3140	130	1	the	the	DET
iajs-3140	130	2	principle	principle	NOUN
iajs-3140	130	3	of	of	ADP
iajs-3140	130	4	hamilton	hamilton	PROPN
iajs-3140	131	1	[	[	X
iajs-3140	131	2	18]shows	18]shows	NUM
iajs-3140	131	3	that	that	SCONJ
iajs-3140	131	4			ADP
iajs-3140	131	5	1	1	NUM
iajs-3140	131	6	t	t	NOUN
iajs-3140	131	7	to	to	ADP
iajs-3140	131	8	ldt	ldt	PROPN
iajs-3140	131	9	is	be	AUX
iajs-3140	131	10	applied	apply	VERB
iajs-3140	131	11	at	at	ADP
iajs-3140	131	12	two	two	NUM
iajs-3140	131	13	fixed	fix	VERB
iajs-3140	131	14	time	time	NOUN
iajs-3140	131	15	points	point	NOUN
iajs-3140	131	16	,	,	PUNCT
iajs-3140	131	17	namely	namely	ADV
iajs-3140	131	18	,	,	PUNCT
iajs-3140	131	19	and	and	CCONJ
iajs-3140	131	20	which	which	PRON
iajs-3140	131	21	are	be	AUX
iajs-3140	131	22	stationary	stationary	ADJ
iajs-3140	131	23	for	for	ADP
iajs-3140	131	24	the	the	DET
iajs-3140	131	25	dynamic	dynamic	ADJ
iajs-3140	131	26	trajectory	trajectory	NOUN
iajs-3140	131	27	.	.	PUNCT
iajs-3140	132	1	when	when	SCONJ
iajs-3140	132	2	the	the	DET
iajs-3140	132	3	euler	euler	NOUN
iajs-3140	132	4	equation	equation	NOUN
iajs-3140	132	5	is	be	AUX
iajs-3140	132	6	applied	apply	VERB
iajs-3140	132	7	to	to	ADP
iajs-3140	132	8	the	the	DET
iajs-3140	132	9	integral	integral	ADJ
iajs-3140	132	10	,	,	PUNCT
iajs-3140	132	11	the	the	DET
iajs-3140	132	12	two	two	NUM
iajs-3140	132	13	stationary	stationary	ADJ
iajs-3140	132	14	times	time	NOUN
iajs-3140	132	15	can	can	AUX
iajs-3140	132	16	be	be	AUX
iajs-3140	132	17	obtained	obtain	VERB
iajs-3140	132	18	as	as	SCONJ
iajs-3140	132	19	revealed	reveal	VERB
iajs-3140	132	20	in	in	ADP
iajs-3140	132	21	:	:	PUNCT
iajs-3140	132	22	0	0	NUM
iajs-3140	132	23	3	3	NUM
iajs-3140	132	24	3	3	NUM
iajs-3140	132	25	3	3	NUM
iajs-3140	132	26	3	3	NUM
iajs-3140	132	27	2	2	NUM
iajs-3140	132	28	2	2	NUM
iajs-3140	132	29	2	2	NUM
iajs-3140	132	30	2	2	NUM
iajs-3140	132	31			ADP
iajs-3140	132	32			NUM
iajs-3140	132	33			NOUN
iajs-3140	133	1			PROPN
iajs-3140	133	2			PROPN
iajs-3140	133	3			PROPN
iajs-3140	134	1			PROPN
iajs-3140	134	2			NOUN
iajs-3140	134	3			PROPN
iajs-3140	134	4			X
iajs-3140	134	5			PROPN
iajs-3140	134	6			ADJ
iajs-3140	134	7			PROPN
iajs-3140	135	1			PROPN
iajs-3140	135	2			NOUN
iajs-3140	136	1			PROPN
iajs-3140	136	2			PROPN
iajs-3140	136	3			PROPN
iajs-3140	137	1			PROPN
iajs-3140	137	2			NOUN
iajs-3140	137	3			NUM
iajs-3140	137	4			ADP
iajs-3140	137	5			ADJ
iajs-3140	137	6			ADJ
iajs-3140	137	7			PROPN
iajs-3140	137	8			PROPN
iajs-3140	137	9			NOUN
iajs-3140	138	1			PROPN
iajs-3140	138	2			PROPN
iajs-3140	138	3			PROPN
iajs-3140	139	1			PROPN
iajs-3140	139	2			NOUN
iajs-3140	139	3			PROPN
iajs-3140	139	4			X
iajs-3140	139	5			PROPN
iajs-3140	139	6			PROPN
iajs-3140	139	7			ADP
iajs-3140	139	8			PROPN
iajs-3140	139	9			NOUN
iajs-3140	139	10			PROPN
iajs-3140	139	11			PROPN
iajs-3140	139	12			PROPN
iajs-3140	140	1			PROPN
iajs-3140	140	2			NOUN
iajs-3140	140	3			PROPN
iajs-3140	140	4			PUNCT
iajs-3140	140	5			PROPN
iajs-3140	140	6			PROPN
iajs-3140	140	7			PROPN
iajs-3140	140	8			PROPN
iajs-3140	140	9			PROPN
iajs-3140	140	10			NOUN
iajs-3140	140	11			PROPN
iajs-3140	141	1			PROPN
iajs-3140	141	2			PROPN
iajs-3140	142	1			PROPN
iajs-3140	142	2			NOUN
iajs-3140	142	3			PROPN
iajs-3140	142	4			X
iajs-3140	142	5			PROPN
iajs-3140	142	6			ADJ
iajs-3140	142	7			PROPN
iajs-3140	143	1			PROPN
iajs-3140	143	2			NOUN
iajs-3140	144	1			PROPN
iajs-3140	144	2			PROPN
iajs-3140	144	3			PROPN
iajs-3140	145	1			PROPN
iajs-3140	145	2			NOUN
iajs-3140	145	3			NOUN
iajs-3140	145	4			PUNCT
iajs-3140	145	5			ADJ
iajs-3140	145	6			ADJ
iajs-3140	145	7			PROPN
iajs-3140	145	8			PROPN
iajs-3140	145	9			X
iajs-3140	145	10	nnnnnn	nnnnnn	VERB
iajs-3140	145	11	ptpzptpzptpzp	ptpzptpzptpzp	ADJ
iajs-3140	145	12			PROPN
iajs-3140	145	13	(	(	PUNCT
iajs-3140	145	14	8)	8)	NUM
iajs-3140	145	15	where	where	SCONJ
iajs-3140	145	16	,	,	PUNCT
iajs-3140	145	17			PROPN
iajs-3140	145	18	tzpppppppg	tzpppppppg	SYM
iajs-3140	145	19	nnnnnnn	nnnnnnn	NOUN
iajs-3140	145	20	,	,	PUNCT
iajs-3140	145	21	,	,	PUNCT
iajs-3140	145	22	,	,	PUNCT
iajs-3140	145	23	,	,	PUNCT
iajs-3140	145	24	,	,	PUNCT
iajs-3140	145	25	,	,	PUNCT
iajs-3140	145	26	,	,	PUNCT
iajs-3140	145	27	,	,	PUNCT
iajs-3140	145	28			PROPN
iajs-3140	145	29			NOUN
iajs-3140	145	30	(	(	PUNCT
iajs-3140	145	31	9	9	NUM
iajs-3140	145	32	)	)	PUNCT
iajs-3140	145	33	also	also	ADV
iajs-3140	145	34	:	:	PUNCT
iajs-3140	145	35	3	3	NUM
iajs-3140	145	36	3	3	NUM
iajs-3140	145	37	3	3	NUM
iajs-3140	145	38	3	3	NUM
iajs-3140	145	39	2	2	NUM
iajs-3140	145	40	2	2	NUM
iajs-3140	145	41	2	2	NUM
iajs-3140	145	42	2	2	NUM
iajs-3140	145	43	,	,	PUNCT
iajs-3140	145	44	,	,	PUNCT
iajs-3140	145	45	,	,	PUNCT
iajs-3140	145	46	,	,	PUNCT
iajs-3140	145	47	,	,	PUNCT
iajs-3140	145	48	t	t	PROPN
iajs-3140	145	49	q	q	PROPN
iajs-3140	145	50	p	p	X
iajs-3140	145	51	z	z	NOUN
iajs-3140	145	52	p	p	NOUN
iajs-3140	145	53	p	p	PROPN
iajs-3140	145	54	t	t	PROPN
iajs-3140	145	55	p	p	X
iajs-3140	145	56	p	p	PROPN
iajs-3140	145	57	z	z	NOUN
iajs-3140	145	58	p	p	NOUN
iajs-3140	145	59	p	p	PROPN
iajs-3140	145	60	t	t	PROPN
iajs-3140	145	61	p	p	X
iajs-3140	145	62	p	p	PROPN
iajs-3140	145	63	z	z	NOUN
iajs-3140	145	64	p	p	NOUN
iajs-3140	145	65	p	p	PROPN
iajs-3140	145	66	n	n	CCONJ
iajs-3140	145	67	n	n	CCONJ
iajs-3140	145	68	n	n	CCONJ
iajs-3140	145	69	n	n	CCONJ
iajs-3140	145	70	n	n	CCONJ
iajs-3140	145	71	n	n	CCONJ
iajs-3140	145	72	n	n	CCONJ
iajs-3140	145	73	n	n	CCONJ
iajs-3140	145	74	n	n	CCONJ
iajs-3140	145	75	n	n	CCONJ
iajs-3140	145	76	n	n	CCONJ
iajs-3140	145	77			ADJ
iajs-3140	145	78			ADJ
iajs-3140	145	79			PROPN
iajs-3140	145	80			ADJ
iajs-3140	145	81			ADJ
iajs-3140	145	82			NOUN
iajs-3140	145	83			PROPN
iajs-3140	145	84			PROPN
iajs-3140	145	85			PROPN
iajs-3140	145	86			ADJ
iajs-3140	145	87			PROPN
iajs-3140	145	88			PROPN
iajs-3140	145	89			ADJ
iajs-3140	145	90			ADJ
iajs-3140	145	91			PROPN
iajs-3140	145	92			ADJ
iajs-3140	145	93			PROPN
iajs-3140	145	94			PROPN
iajs-3140	146	1			PROPN
iajs-3140	146	2	the	the	DET
iajs-3140	146	3	obtained	obtain	VERB
iajs-3140	146	4	equations	equation	NOUN
iajs-3140	146	5	are	be	AUX
iajs-3140	146	6	motional	motional	ADJ
iajs-3140	146	7	system	system	NOUN
iajs-3140	146	8	equations	equation	NOUN
iajs-3140	146	9	.	.	PUNCT
iajs-3140	147	1	the	the	DET
iajs-3140	147	2	integral	integral	ADJ
iajs-3140	147	3	form	form	NOUN
iajs-3140	147	4	of	of	ADP
iajs-3140	147	5	equation	equation	NOUN
iajs-3140	147	6	6	6	NUM
iajs-3140	147	7	consists	consist	VERB
iajs-3140	147	8	of	of	ADP
iajs-3140	147	9	three	three	NUM
iajs-3140	147	10	dependent	dependent	ADJ
iajs-3140	147	11	parameters	parameter	NOUN
iajs-3140	147	12	,	,	PUNCT
iajs-3140	147	13	namely	namely	ADV
iajs-3140	147	14	;	;	PUNCT
iajs-3140	147	15	q	q	X
iajs-3140	147	16	,	,	PUNCT
iajs-3140	147	17	p	p	X
iajs-3140	147	18	,	,	PUNCT
iajs-3140	147	19	and	and	CCONJ
iajs-3140	147	20	β	β	X
iajs-3140	147	21	,	,	PUNCT
iajs-3140	147	22	and	and	CCONJ
iajs-3140	147	23	applying	apply	VERB
iajs-3140	147	24	the	the	DET
iajs-3140	147	25	euler	euler	NOUN
iajs-3140	147	26	equations	equation	NOUN
iajs-3140	147	27	by	by	ADP
iajs-3140	147	28	replacing	replace	VERB
iajs-3140	147	29	with	with	ADP
iajs-3140	147	30	either	either	CCONJ
iajs-3140	147	31	q	q	NOUN
iajs-3140	147	32	,	,	PUNCT
iajs-3140	147	33	p	p	NOUN
iajs-3140	147	34	or	or	CCONJ
iajs-3140	147	35	β	β	NOUN
iajs-3140	147	36	yields	yield	NOUN
iajs-3140	147	37	:	:	PUNCT
iajs-3140	147	38	)	)	PUNCT
iajs-3140	147	39	(	(	PUNCT
iajs-3140	147	40	)	)	PUNCT
iajs-3140	147	41	(	(	PUNCT
iajs-3140	147	42	)	)	PUNCT
iajs-3140	147	43	(	(	PUNCT
iajs-3140	147	44	)	)	PUNCT
iajs-3140	147	45	(	(	PUNCT
iajs-3140	147	46	2	2	NUM
iajs-3140	147	47	2	2	NUM
iajs-3140	147	48	2	2	NUM
iajs-3140	147	49	2	2	NUM
iajs-3140	147	50	2	2	NUM
iajs-3140	147	51	2	2	NUM
iajs-3140	147	52	2	2	NUM
iajs-3140	147	53	2	2	NUM
iajs-3140	147	54	2	2	NUM
iajs-3140	147	55	2	2	NUM
iajs-3140	147	56	tg	tg	PROPN
iajs-3140	147	57	rw	rw	PROPN
iajs-3140	147	58	t	t	PROPN
iajs-3140	147	59	q	q	PROPN
iajs-3140	147	60	g	g	PROPN
iajs-3140	147	61	w	w	PROPN
iajs-3140	147	62	z	z	PROPN
iajs-3140	147	63	p	p	NOUN
iajs-3140	147	64	ei	ei	X
iajs-3140	147	65	z	z	NOUN
iajs-3140	147	66	q	q	X
iajs-3140	147	67	ei	ei	INTJ
iajs-3140	147	68	z	z	PROPN
iajs-3140	147	69	y	y	PROPN
iajs-3140	147	70	xyyy	xyyy	PROPN
iajs-3140	147	71			PROPN
iajs-3140	147	72			NUM
iajs-3140	147	73			PROPN
iajs-3140	147	74			PROPN
iajs-3140	147	75			X
iajs-3140	147	76			PUNCT
iajs-3140	147	77			PROPN
iajs-3140	147	78			X
iajs-3140	147	79			NOUN
iajs-3140	147	80			VERB
iajs-3140	147	81			PROPN
iajs-3140	147	82			ADJ
iajs-3140	147	83			PROPN
iajs-3140	147	84			PROPN
iajs-3140	147	85			ADJ
iajs-3140	147	86			ADJ
iajs-3140	147	87			ADJ
iajs-3140	147	88			PROPN
iajs-3140	147	89			PROPN
iajs-3140	147	90	)	)	PUNCT
iajs-3140	147	91	(	(	PUNCT
iajs-3140	147	92	)	)	PUNCT
iajs-3140	147	93	(	(	PUNCT
iajs-3140	147	94	)	)	PUNCT
iajs-3140	147	95	(	(	PUNCT
iajs-3140	147	96	)	)	PUNCT
iajs-3140	147	97	(	(	PUNCT
iajs-3140	147	98	2	2	NUM
iajs-3140	147	99	2	2	NUM
iajs-3140	147	100	2	2	NUM
iajs-3140	147	101	2	2	NUM
iajs-3140	147	102	2	2	NUM
iajs-3140	147	103	2	2	NUM
iajs-3140	147	104	2	2	NUM
iajs-3140	147	105	2	2	NUM
iajs-3140	147	106	2	2	NUM
iajs-3140	147	107	2	2	NUM
iajs-3140	147	108	tg	tg	PROPN
iajs-3140	147	109	rw	rw	PROPN
iajs-3140	148	1	t	t	PROPN
iajs-3140	148	2	p	p	PROPN
iajs-3140	148	3	g	g	PROPN
iajs-3140	148	4	w	w	PROPN
iajs-3140	148	5	z	z	PROPN
iajs-3140	148	6	q	q	X
iajs-3140	148	7	ei	ei	NOUN
iajs-3140	148	8	z	z	NOUN
iajs-3140	148	9	p	p	X
iajs-3140	148	10	ei	ei	X
iajs-3140	148	11	z	z	NOUN
iajs-3140	148	12	x	x	SYM
iajs-3140	148	13	xyxx	xyxx	PROPN
iajs-3140	148	14			PROPN
iajs-3140	148	15			NUM
iajs-3140	148	16			PROPN
iajs-3140	148	17			PROPN
iajs-3140	148	18			X
iajs-3140	148	19			PUNCT
iajs-3140	148	20			PROPN
iajs-3140	148	21			X
iajs-3140	148	22			NOUN
iajs-3140	148	23			VERB
iajs-3140	148	24			PROPN
iajs-3140	148	25			ADJ
iajs-3140	148	26			PROPN
iajs-3140	148	27			PROPN
iajs-3140	148	28			ADJ
iajs-3140	148	29			ADJ
iajs-3140	148	30			ADJ
iajs-3140	148	31			PROPN
iajs-3140	148	32			PROPN
iajs-3140	148	33	(	(	PUNCT
iajs-3140	148	34	10	10	NUM
iajs-3140	148	35	a	a	DET
iajs-3140	148	36	,	,	PUNCT
iajs-3140	148	37	b	b	NOUN
iajs-3140	148	38	,	,	PUNCT
iajs-3140	148	39	c	c	NOUN
iajs-3140	148	40	)	)	PUNCT
iajs-3140	148	41	)	)	PUNCT
iajs-3140	148	42	(	(	PUNCT
iajs-3140	148	43	)	)	PUNCT
iajs-3140	148	44	(	(	PUNCT
iajs-3140	148	45	)	)	PUNCT
iajs-3140	148	46	(	(	PUNCT
iajs-3140	148	47	2	2	NUM
iajs-3140	148	48	2	2	NUM
iajs-3140	148	49	2	2	NUM
iajs-3140	148	50	2	2	NUM
iajs-3140	148	51	2	2	NUM
iajs-3140	148	52	2	2	NUM
iajs-3140	148	53	.	.	NOUN
iajs-3140	148	54	2	2	NUM
iajs-3140	148	55	2	2	NUM
iajs-3140	148	56	4	4	NUM
iajs-3140	148	57	4	4	NUM
iajs-3140	148	58	1	1	NUM
iajs-3140	148	59	t	t	NOUN
iajs-3140	148	60	p	p	X
iajs-3140	148	61	g	g	PROPN
iajs-3140	148	62	rw	rw	PROPN
iajs-3140	148	63	t	t	PROPN
iajs-3140	148	64	q	q	PROPN
iajs-3140	148	65	g	g	PROPN
iajs-3140	148	66	rw	rw	NOUN
iajs-3140	149	1	tg	tg	INTJ
iajs-3140	149	2	i	i	PROPN
iajs-3140	149	3	z	z	PROPN
iajs-3140	149	4	b	b	PROPN
iajs-3140	149	5	z	z	PROPN
iajs-3140	149	6	b	b	PROPN
iajs-3140	149	7	xyfc	xyfc	PROPN
iajs-3140	149	8			PROPN
iajs-3140	149	9			X
iajs-3140	149	10			PROPN
iajs-3140	149	11			PROPN
iajs-3140	149	12			NUM
iajs-3140	149	13			PROPN
iajs-3140	149	14			PROPN
iajs-3140	149	15			PROPN
iajs-3140	149	16			PROPN
iajs-3140	149	17			PROPN
iajs-3140	149	18			ADJ
iajs-3140	149	19			PROPN
iajs-3140	149	20			PROPN
iajs-3140	149	21			PROPN
iajs-3140	149	22			VERB
iajs-3140	149	23	where	where	SCONJ
iajs-3140	149	24	:	:	PUNCT
iajs-3140	149	25	22	22	NUM
iajs-3140	149	26	..	..	PUNCT
iajs-3140	149	27	..	..	PUNCT
iajs-3140	150	1	yxgcfc	yxgcfc	PROPN
iajs-3140	150	2	rwrwii	rwrwii	PROPN
iajs-3140	150	3			VERB
iajs-3140	150	4	dbhbeb	dbhbeb	ADV
iajs-3140	150	5	a	a	DET
iajs-3140	150	6	32	32	NUM
iajs-3140	150	7	1	1	NUM
iajs-3140	150	8	12	12	NUM
iajs-3140	150	9	1	1	NUM
iajs-3140	150	10			NOUN
iajs-3140	150	11	if	if	SCONJ
iajs-3140	150	12	the	the	DET
iajs-3140	150	13	pre	pre	NOUN
iajs-3140	150	14	-	-	ADJ
iajs-3140	150	15	twist	twist	ADJ
iajs-3140	150	16	is	be	AUX
iajs-3140	150	17	removed	remove	VERB
iajs-3140	150	18	(	(	PUNCT
iajs-3140	150	19	i.e.	i.e.	X
iajs-3140	150	20	)	)	PUNCT
iajs-3140	150	21	,	,	PUNCT
iajs-3140	150	22	and	and	CCONJ
iajs-3140	150	23	made	make	VERB
iajs-3140	150	24	equal	equal	ADJ
iajs-3140	150	25	to	to	ADP
iajs-3140	150	26	0	0	NUM
iajs-3140	150	27	,	,	PUNCT
iajs-3140	150	28	the	the	DET
iajs-3140	150	29	three	three	NUM
iajs-3140	150	30	parts	part	NOUN
iajs-3140	150	31	of	of	ADP
iajs-3140	150	32	equation	equation	NOUN
iajs-3140	150	33	10	10	NUM
iajs-3140	150	34	are	be	AUX
iajs-3140	150	35	simplified	simplify	VERB
iajs-3140	150	36	to	to	PART
iajs-3140	150	37	:	:	PUNCT
iajs-3140	150	38	oa	oa	PROPN
iajs-3140	150	39	1a	1a	PROPN
iajs-3140	151	1	nk	nk	PROPN
iajs-3140	151	2	0t	0t	PROPN
iajs-3140	151	3	ixy	ixy	PROPN
iajs-3140	151	4	ihjpas	ihjpas	PROPN
iajs-3140	151	5	.	.	PUNCT
iajs-3140	152	1	36	36	NUM
iajs-3140	152	2	(	(	PUNCT
iajs-3140	152	3	4	4	NUM
iajs-3140	152	4	)	)	PUNCT
iajs-3140	152	5	2023	2023	NUM
iajs-3140	152	6	435	435	NUM
iajs-3140	152	7	)	)	PUNCT
iajs-3140	152	8	(	(	PUNCT
iajs-3140	152	9	)	)	PUNCT
iajs-3140	152	10	(	(	PUNCT
iajs-3140	152	11	)	)	PUNCT
iajs-3140	152	12	(	(	PUNCT
iajs-3140	152	13	2	2	NUM
iajs-3140	152	14	2	2	NUM
iajs-3140	152	15	2	2	NUM
iajs-3140	152	16	2	2	NUM
iajs-3140	152	17	4	4	NUM
iajs-3140	152	18	4	4	NUM
iajs-3140	152	19	t	t	NOUN
iajs-3140	152	20	r	r	NOUN
iajs-3140	152	21	g	g	PROPN
iajs-3140	152	22	w	w	PROPN
iajs-3140	152	23	t	t	PROPN
iajs-3140	152	24	q	q	PROPN
iajs-3140	152	25	g	g	PROPN
iajs-3140	152	26	w	w	PROPN
iajs-3140	152	27	z	z	PROPN
iajs-3140	152	28	q	q	X
iajs-3140	152	29	ei	ei	PROPN
iajs-3140	152	30	yyy	yyy	PROPN
iajs-3140	152	31			PROPN
iajs-3140	152	32			PROPN
iajs-3140	153	1			PROPN
iajs-3140	153	2			PROPN
iajs-3140	153	3			X
iajs-3140	153	4			VERB
iajs-3140	153	5			ADJ
iajs-3140	153	6			PROPN
iajs-3140	153	7			PROPN
iajs-3140	153	8	)	)	PUNCT
iajs-3140	153	9	(	(	PUNCT
iajs-3140	153	10	)	)	PUNCT
iajs-3140	153	11	(	(	PUNCT
iajs-3140	153	12	)	)	PUNCT
iajs-3140	153	13	(	(	PUNCT
iajs-3140	153	14	2	2	NUM
iajs-3140	153	15	2	2	NUM
iajs-3140	153	16	2	2	NUM
iajs-3140	153	17	2	2	NUM
iajs-3140	153	18	4	4	NUM
iajs-3140	153	19	4	4	NUM
iajs-3140	153	20	t	t	NOUN
iajs-3140	153	21	r	r	NOUN
iajs-3140	153	22	g	g	PROPN
iajs-3140	153	23	w	w	PROPN
iajs-3140	153	24	t	t	PROPN
iajs-3140	153	25	p	p	X
iajs-3140	153	26	g	g	PROPN
iajs-3140	153	27	w	w	PROPN
iajs-3140	153	28	z	z	PROPN
iajs-3140	153	29	p	p	NOUN
iajs-3140	153	30	ei	ei	X
iajs-3140	153	31	xxx	xxx	PROPN
iajs-3140	153	32			PROPN
iajs-3140	153	33			PROPN
iajs-3140	153	34			PROPN
iajs-3140	153	35			PROPN
iajs-3140	153	36			X
iajs-3140	153	37			VERB
iajs-3140	153	38			ADJ
iajs-3140	153	39			PROPN
iajs-3140	153	40			PROPN
iajs-3140	153	41	(	(	PUNCT
iajs-3140	153	42	11	11	NUM
iajs-3140	153	43	a	a	DET
iajs-3140	153	44	,	,	PUNCT
iajs-3140	153	45	b	b	NOUN
iajs-3140	153	46	,	,	PUNCT
iajs-3140	153	47	c	c	NOUN
iajs-3140	153	48	)	)	PUNCT
iajs-3140	153	49	)	)	PUNCT
iajs-3140	153	50	(	(	PUNCT
iajs-3140	153	51	)	)	PUNCT
iajs-3140	153	52	(	(	PUNCT
iajs-3140	153	53	)	)	PUNCT
iajs-3140	153	54	(	(	PUNCT
iajs-3140	153	55	)	)	PUNCT
iajs-3140	153	56	(	(	PUNCT
iajs-3140	153	57	2	2	NUM
iajs-3140	153	58	2	2	NUM
iajs-3140	153	59	2	2	NUM
iajs-3140	153	60	2	2	NUM
iajs-3140	153	61	2	2	NUM
iajs-3140	153	62	2	2	NUM
iajs-3140	153	63	.2	.2	NUM
iajs-3140	153	64	2	2	NUM
iajs-3140	153	65	t	t	NOUN
iajs-3140	153	66	p	p	NOUN
iajs-3140	153	67	r	r	NOUN
iajs-3140	153	68	g	g	PROPN
iajs-3140	153	69	w	w	PROPN
iajs-3140	153	70	t	t	PROPN
iajs-3140	153	71	r	r	NOUN
iajs-3140	153	72	g	g	PROPN
iajs-3140	153	73	w	w	PROPN
iajs-3140	153	74	t	t	PROPN
iajs-3140	154	1	i	i	PRON
iajs-3140	154	2	z	z	NOUN
iajs-3140	154	3	c	c	PROPN
iajs-3140	154	4	xyfc	xyfc	PROPN
iajs-3140	154	5			PROPN
iajs-3140	154	6			X
iajs-3140	154	7			PROPN
iajs-3140	154	8			PROPN
iajs-3140	154	9			X
iajs-3140	155	1			PROPN
iajs-3140	155	2			ADJ
iajs-3140	155	3			ADJ
iajs-3140	155	4			PROPN
iajs-3140	155	5			PROPN
iajs-3140	155	6			ADJ
iajs-3140	155	7			NOUN
iajs-3140	155	8	solution	solution	NOUN
iajs-3140	155	9	of	of	ADP
iajs-3140	155	10	system	system	NOUN
iajs-3140	155	11	motion	motion	NOUN
iajs-3140	155	12	equations	equation	NOUN
iajs-3140	155	13	the	the	DET
iajs-3140	155	14	shape	shape	NOUN
iajs-3140	155	15	functions	function	NOUN
iajs-3140	155	16	of	of	ADP
iajs-3140	155	17	q	q	NOUN
iajs-3140	155	18	,	,	PUNCT
iajs-3140	155	19	p	p	X
iajs-3140	155	20	,	,	PUNCT
iajs-3140	155	21	and	and	CCONJ
iajs-3140	155	22	β	β	NOUN
iajs-3140	155	23	that	that	PRON
iajs-3140	155	24	were	be	AUX
iajs-3140	155	25	taken	take	VERB
iajs-3140	155	26	from	from	ADP
iajs-3140	155	27	[	[	X
iajs-3140	155	28	19	19	NUM
iajs-3140	155	29	]	]	PUNCT
iajs-3140	155	30	are	be	AUX
iajs-3140	155	31	assumed	assume	VERB
iajs-3140	155	32	to	to	PART
iajs-3140	155	33	be	be	AUX
iajs-3140	155	34	in	in	ADP
iajs-3140	155	35	the	the	DET
iajs-3140	155	36	following	follow	VERB
iajs-3140	155	37	forms	form	NOUN
iajs-3140	155	38	:	:	PUNCT
iajs-3140	155	39	)	)	PUNCT
iajs-3140	155	40	(	(	PUNCT
iajs-3140	155	41	1	1	NUM
iajs-3140	155	42	zfbtsinq	zfbtsinq	NOUN
iajs-3140	155	43	m	m	VERB
iajs-3140	155	44	n	n	PRON
iajs-3140	155	45	m	m	VERB
iajs-3140	155	46	m	m	ADJ
iajs-3140	155	47			NOUN
iajs-3140	156	1			PRON
iajs-3140	157	1			X
iajs-3140	157	2			X
iajs-3140	157	3			NUM
iajs-3140	157	4			ADJ
iajs-3140	157	5			PROPN
iajs-3140	157	6			PROPN
iajs-3140	157	7			X
iajs-3140	157	8			NOUN
iajs-3140	157	9			VERB
iajs-3140	157	10			PROPN
iajs-3140	157	11			PROPN
iajs-3140	157	12			VERB
iajs-3140	157	13			PUNCT
iajs-3140	157	14			PROPN
iajs-3140	157	15			PROPN
iajs-3140	157	16			PROPN
iajs-3140	157	17	n	n	PRON
iajs-3140	157	18	m	m	VERB
iajs-3140	157	19	mmm	mmm	ADJ
iajs-3140	157	20	j	j	PROPN
iajs-3140	157	21	l	l	NOUN
iajs-3140	157	22	zmm	zmm	X
iajs-3140	157	23	l	l	NOUN
iajs-3140	157	24	zmm	zmm	X
iajs-3140	157	25	l	l	NOUN
iajs-3140	157	26	zmm	zmm	X
iajs-3140	157	27	atsinp	atsinp	VERB
iajs-3140	157	28	1	1	NUM
iajs-3140	157	29	321	321	NUM
iajs-3140	157	30	)	)	PUNCT
iajs-3140	157	31	(	(	PUNCT
iajs-3140	157	32	6	6	NUM
iajs-3140	157	33	)	)	SYM
iajs-3140	157	34	1	1	NUM
iajs-3140	157	35	(	(	PUNCT
iajs-3140	157	36	)	)	PUNCT
iajs-3140	157	37	(	(	PUNCT
iajs-3140	157	38	3	3	X
iajs-3140	157	39	)	)	PUNCT
iajs-3140	157	40	3	3	NUM
iajs-3140	157	41	(	(	PUNCT
iajs-3140	157	42	)	)	PUNCT
iajs-3140	157	43	(	(	PUNCT
iajs-3140	157	44	6	6	NUM
iajs-3140	157	45	)	)	PUNCT
iajs-3140	157	46	3)(2	3)(2	NOUN
iajs-3140	157	47	(	(	PUNCT
iajs-3140	157	48			X
iajs-3140	157	49	(	(	PUNCT
iajs-3140	157	50	12a	12a	NOUN
iajs-3140	157	51	,	,	PUNCT
iajs-3140	157	52	b	b	NOUN
iajs-3140	157	53	,	,	PUNCT
iajs-3140	157	54	c	c	NOUN
iajs-3140	157	55	)	)	PUNCT
iajs-3140	157	56			X
iajs-3140	158	1			NUM
iajs-3140	158	2			PUNCT
iajs-3140	158	3			PROPN
iajs-3140	158	4	n	n	PRON
iajs-3140	158	5	m	m	VERB
iajs-3140	158	6	m	m	VERB
iajs-3140	158	7	m	m	VERB
iajs-3140	158	8	l	l	NOUN
iajs-3140	158	9	z	z	NOUN
iajs-3140	158	10	m	m	VERB
iajs-3140	158	11	m	m	VERB
iajs-3140	158	12	l	l	NOUN
iajs-3140	158	13	z	z	NOUN
iajs-3140	158	14	ctsin	ctsin	NOUN
iajs-3140	158	15	1	1	NUM
iajs-3140	158	16	)	)	PUNCT
iajs-3140	158	17	)	)	PUNCT
iajs-3140	158	18	)	)	PUNCT
iajs-3140	159	1	(	(	PUNCT
iajs-3140	159	2	1	1	NUM
iajs-3140	159	3	(	(	PUNCT
iajs-3140	159	4	1()(	1()(	NUM
iajs-3140	159	5	that	that	PRON
iajs-3140	159	6	satisfies	satisfy	VERB
iajs-3140	159	7	the	the	DET
iajs-3140	159	8	following	follow	VERB
iajs-3140	159	9	boundary	boundary	ADJ
iajs-3140	159	10	conditions	condition	NOUN
iajs-3140	159	11	:	:	PUNCT
iajs-3140	159	12	0	0	NUM
iajs-3140	159	13			NOUN
iajs-3140	159	14	dz	dz	X
iajs-3140	159	15	dq	dq	INTJ
iajs-3140	159	16	q	q	NOUN
iajs-3140	159	17	dz	dz	ADJ
iajs-3140	159	18	dp	dp	NOUN
iajs-3140	159	19	p	p	NOUN
iajs-3140	159	20	when	when	SCONJ
iajs-3140	159	21	z=0	z=0	PROPN
iajs-3140	159	22	0	0	NUM
iajs-3140	159	23	3	3	NUM
iajs-3140	159	24	3	3	NUM
iajs-3140	159	25	2	2	NUM
iajs-3140	159	26	2	2	NUM
iajs-3140	159	27	3	3	NUM
iajs-3140	159	28	3	3	NUM
iajs-3140	159	29	2	2	NUM
iajs-3140	159	30	2	2	NUM
iajs-3140	159	31			PROPN
iajs-3140	159	32	dz	dz	NOUN
iajs-3140	159	33	d	d	X
iajs-3140	159	34	dz	dz	PROPN
iajs-3140	159	35	qd	qd	PROPN
iajs-3140	159	36	dz	dz	PROPN
iajs-3140	159	37	qd	qd	PROPN
iajs-3140	159	38	dz	dz	PROPN
iajs-3140	159	39	pd	pd	PROPN
iajs-3140	159	40	dz	dz	PROPN
iajs-3140	159	41	pd	pd	PROPN
iajs-3140	159	42			PROPN
iajs-3140	159	43	when	when	SCONJ
iajs-3140	159	44	z	z	PROPN
iajs-3140	159	45	=	=	NOUN
iajs-3140	159	46	l	l	NOUN
iajs-3140	159	47	the	the	DET
iajs-3140	159	48	error	error	NOUN
iajs-3140	159	49	in	in	ADP
iajs-3140	159	50	the	the	DET
iajs-3140	159	51	differential	differential	ADJ
iajs-3140	159	52	equation	equation	NOUN
iajs-3140	159	53	11a	11a	NOUN
iajs-3140	159	54	,	,	PUNCT
iajs-3140	159	55	b	b	X
iajs-3140	159	56	,	,	PUNCT
iajs-3140	159	57	c	c	PROPN
iajs-3140	159	58	can	can	AUX
iajs-3140	159	59	be	be	AUX
iajs-3140	159	60	achieved	achieve	VERB
iajs-3140	159	61	if	if	SCONJ
iajs-3140	159	62	the	the	DET
iajs-3140	159	63	proposed	propose	VERB
iajs-3140	159	64	solution	solution	NOUN
iajs-3140	159	65	expressed	express	VERB
iajs-3140	159	66	by	by	ADP
iajs-3140	159	67	equation	equation	NOUN
iajs-3140	159	68	12	12	NUM
iajs-3140	159	69	a	a	PRON
iajs-3140	159	70	,	,	PUNCT
iajs-3140	159	71	b	b	NOUN
iajs-3140	159	72	,	,	PUNCT
iajs-3140	159	73	c	c	PROPN
iajs-3140	159	74	for	for	ADP
iajs-3140	159	75	u	u	PROPN
iajs-3140	159	76	,	,	PUNCT
iajs-3140	159	77	v	v	NOUN
iajs-3140	159	78	,	,	PUNCT
iajs-3140	159	79	and	and	CCONJ
iajs-3140	159	80	θ	θ	PROPN
iajs-3140	159	81	is	be	AUX
iajs-3140	159	82	used	use	VERB
iajs-3140	159	83	.	.	PUNCT
iajs-3140	160	1	:	:	PUNCT
iajs-3140	161	1			X
iajs-3140	161	2			ADV
iajs-3140	161	3			VERB
iajs-3140	161	4			CCONJ
iajs-3140	161	5			ADJ
iajs-3140	161	6	r	r	PROPN
iajs-3140	161	7	rryrrrryy	rryrrrryy	PROPN
iajs-3140	161	8	fcr	fcr	PROPN
iajs-3140	161	9	g	g	PROPN
iajs-3140	161	10	w	w	PROPN
iajs-3140	161	11	fb	fb	PROPN
iajs-3140	161	12	g	g	PROPN
iajs-3140	161	13	w	w	PROPN
iajs-3140	161	14	fbei	fbei	NOUN
iajs-3140	161	15	22	22	NUM
iajs-3140	161	16	''	''	PUNCT
iajs-3140	161	17	'	'	PUNCT
iajs-3140	161	18	'	'	PUNCT
iajs-3140	161	19	1	1	NUM
iajs-3140	161	20	)	)	PUNCT
iajs-3140	161	21	(	(	PUNCT
iajs-3140	161	22	)	)	PUNCT
iajs-3140	161	23	(	(	PUNCT
iajs-3140	161	24	(	(	PUNCT
iajs-3140	161	25			PROPN
iajs-3140	161	26			X
iajs-3140	161	27			CCONJ
iajs-3140	161	28			VERB
iajs-3140	161	29			CCONJ
iajs-3140	161	30			ADJ
iajs-3140	161	31	r	r	NOUN
iajs-3140	161	32	rrxrrrrxx	rrxrrrrxx	PROPN
iajs-3140	161	33	fcr	fcr	VERB
iajs-3140	161	34	g	g	PROPN
iajs-3140	161	35	w	w	PROPN
iajs-3140	161	36	fa	fa	PROPN
iajs-3140	161	37	g	g	PROPN
iajs-3140	161	38	w	w	PROPN
iajs-3140	161	39	faei	faei	ADJ
iajs-3140	161	40	22	22	NUM
iajs-3140	161	41	''	''	PUNCT
iajs-3140	161	42	'	'	PUNCT
iajs-3140	161	43	'	'	PUNCT
iajs-3140	161	44	2	2	NUM
iajs-3140	161	45	)	)	PUNCT
iajs-3140	161	46	(	(	PUNCT
iajs-3140	161	47	)	)	PUNCT
iajs-3140	161	48	(	(	PUNCT
iajs-3140	161	49	(	(	PUNCT
iajs-3140	161	50			PROPN
iajs-3140	161	51	(	(	PUNCT
iajs-3140	161	52	13	13	NUM
iajs-3140	161	53	a	a	DET
iajs-3140	161	54	,	,	PUNCT
iajs-3140	161	55	b	b	NOUN
iajs-3140	161	56	,	,	PUNCT
iajs-3140	161	57	c	c	NOUN
iajs-3140	161	58	)	)	PUNCT
iajs-3140	161	59			X
iajs-3140	161	60			ADV
iajs-3140	161	61			VERB
iajs-3140	161	62			ADV
iajs-3140	161	63			PUNCT
iajs-3140	161	64	r	r	NOUN
iajs-3140	161	65	rrxrry	rrxrry	NOUN
iajs-3140	161	66	fc	fc	PROPN
iajs-3140	161	67	rrrr	rrrr	PROPN
iajs-3140	161	68	far	far	ADV
iajs-3140	161	69	g	g	PROPN
iajs-3140	161	70	w	w	PROPN
iajs-3140	161	71	fbr	fbr	PROPN
iajs-3140	161	72	g	g	PROPN
iajs-3140	161	73	w	w	PROPN
iajs-3140	161	74	g	g	PROPN
iajs-3140	161	75	i	i	PRON
iajs-3140	161	76	fccfc	fccfc	ADJ
iajs-3140	161	77	)	)	PUNCT
iajs-3140	161	78	)	)	PUNCT
iajs-3140	161	79	(	(	PUNCT
iajs-3140	161	80	)	)	PUNCT
iajs-3140	161	81	(	(	PUNCT
iajs-3140	161	82	)	)	PUNCT
iajs-3140	161	83	(	(	PUNCT
iajs-3140	161	84	(	(	PUNCT
iajs-3140	161	85	222	222	NUM
iajs-3140	161	86	.	.	PUNCT
iajs-3140	161	87	''	''	PUNCT
iajs-3140	161	88	'	'	PUNCT
iajs-3140	161	89	3	3	NUM
iajs-3140	161	90			NOUN
iajs-3140	161	91	three	three	NUM
iajs-3140	161	92	simultaneous	simultaneous	ADJ
iajs-3140	161	93	equations	equation	NOUN
iajs-3140	161	94	can	can	AUX
iajs-3140	161	95	be	be	AUX
iajs-3140	161	96	achieved	achieve	VERB
iajs-3140	161	97	if	if	SCONJ
iajs-3140	161	98	equation	equation	NOUN
iajs-3140	161	99	13	13	NUM
iajs-3140	161	100	a	a	DET
iajs-3140	161	101	,	,	PUNCT
iajs-3140	161	102	b	b	NOUN
iajs-3140	161	103	,	,	PUNCT
iajs-3140	161	104	is	be	AUX
iajs-3140	161	105	subjected	subject	VERB
iajs-3140	161	106	to	to	ADP
iajs-3140	161	107	the	the	DET
iajs-3140	161	108	ritz	ritz	PROPN
iajs-3140	161	109	–	–	PUNCT
iajs-3140	161	110	galerkin	galerkin	PROPN
iajs-3140	161	111	operation	operation	NOUN
iajs-3140	161	112	.	.	PUNCT
iajs-3140	162	1	ihjpas	ihjpas	PROPN
iajs-3140	162	2	.	.	PUNCT
iajs-3140	163	1	36	36	NUM
iajs-3140	163	2	(	(	PUNCT
iajs-3140	163	3	4	4	NUM
iajs-3140	163	4	)	)	PUNCT
iajs-3140	163	5	2023	2023	NUM
iajs-3140	163	6	436	436	NUM
iajs-3140	163	7	njdzzfa	njdzzfa	ADV
iajs-3140	163	8	jj	jj	PROPN
iajs-3140	163	9	l	l	PROPN
iajs-3140	163	10	.......	.......	PUNCT
iajs-3140	164	1	2,1,0	2,1,0	NUM
iajs-3140	164	2	)	)	PUNCT
iajs-3140	164	3	(	(	PUNCT
iajs-3140	164	4	0	0	NUM
iajs-3140	164	5	1	1	NUM
iajs-3140	164	6			ADJ
iajs-3140	164	7	njdzzfb	njdzzfb	NOUN
iajs-3140	164	8	jj	jj	PROPN
iajs-3140	164	9	l	l	PROPN
iajs-3140	164	10	.......	.......	PUNCT
iajs-3140	165	1	2,1,0	2,1,0	NUM
iajs-3140	165	2	)	)	PUNCT
iajs-3140	165	3	(	(	PUNCT
iajs-3140	165	4	0	0	NUM
iajs-3140	165	5	2	2	NUM
iajs-3140	165	6			ADJ
iajs-3140	165	7	(	(	PUNCT
iajs-3140	165	8	14	14	NUM
iajs-3140	165	9	a	a	PRON
iajs-3140	165	10	,	,	PUNCT
iajs-3140	165	11	b	b	NOUN
iajs-3140	165	12	,	,	PUNCT
iajs-3140	165	13	c	c	NOUN
iajs-3140	165	14	)	)	PUNCT
iajs-3140	165	15	njdzzfc	njdzzfc	NOUN
iajs-3140	165	16	jj	jj	PROPN
iajs-3140	165	17	l	l	PROPN
iajs-3140	165	18	.......	.......	PUNCT
iajs-3140	166	1	2,1,0	2,1,0	NUM
iajs-3140	166	2	)	)	PUNCT
iajs-3140	166	3	(	(	PUNCT
iajs-3140	166	4	0	0	NUM
iajs-3140	166	5	3	3	NUM
iajs-3140	166	6			PROPN
iajs-3140	166	7	the	the	DET
iajs-3140	166	8	eigenvalues	eigenvalue	NOUN
iajs-3140	166	9	are	be	AUX
iajs-3140	166	10	obtained	obtain	VERB
iajs-3140	166	11	when	when	SCONJ
iajs-3140	166	12	equation	equation	NOUN
iajs-3140	166	13	14	14	NUM
iajs-3140	166	14	a	a	PRON
iajs-3140	166	15	,	,	PUNCT
iajs-3140	166	16	b	b	NOUN
iajs-3140	166	17	,	,	PUNCT
iajs-3140	166	18	and	and	CCONJ
iajs-3140	166	19	c	c	PROPN
iajs-3140	166	20	is	be	AUX
iajs-3140	166	21	integrated	integrate	VERB
iajs-3140	166	22	to	to	PART
iajs-3140	166	23	yield	yield	VERB
iajs-3140	166	24	equation	equation	NOUN
iajs-3140	166	25	15	15	NUM
iajs-3140	166	26	:	:	PUNCT
iajs-3140	166	27			PROPN
iajs-3140	166	28			PROPN
iajs-3140	166	29			PROPN
iajs-3140	166	30			PROPN
iajs-3140	166	31			X
iajs-3140	166	32			NOUN
iajs-3140	166	33			NOUN
iajs-3140	166	34			NOUN
iajs-3140	166	35			NOUN
iajs-3140	166	36			PROPN
iajs-3140	166	37			NOUN
iajs-3140	166	38			NOUN
iajs-3140	166	39			NOUN
iajs-3140	166	40	)	)	PUNCT
iajs-3140	166	41	(	(	PUNCT
iajs-3140	166	42	)	)	PUNCT
iajs-3140	166	43	(	(	PUNCT
iajs-3140	166	44	)	)	PUNCT
iajs-3140	166	45	(	(	PUNCT
iajs-3140	166	46	)	)	PUNCT
iajs-3140	166	47	(	(	PUNCT
iajs-3140	166	48	)	)	PUNCT
iajs-3140	166	49	(	(	PUNCT
iajs-3140	166	50	)	)	PUNCT
iajs-3140	166	51	(	(	PUNCT
iajs-3140	166	52	)	)	PUNCT
iajs-3140	166	53	(	(	PUNCT
iajs-3140	166	54	)	)	PUNCT
iajs-3140	166	55	(	(	PUNCT
iajs-3140	166	56	)	)	PUNCT
iajs-3140	166	57	(	(	PUNCT
iajs-3140	166	58	222	222	NUM
iajs-3140	166	59	222	222	NUM
iajs-3140	166	60	222	222	NUM
iajs-3140	167	1			NOUN
iajs-3140	168	1			PUNCT
iajs-3140	168	2			PROPN
iajs-3140	168	3	utsrqp	utsrqp	PROPN
iajs-3140	168	4	onmlkj	onmlkj	VERB
iajs-3140	168	5	ihgfed	ihgfed	ADJ
iajs-3140	168	6			PROPN
iajs-3140	168	7			PROPN
iajs-3140	168	8			PROPN
iajs-3140	168	9			PROPN
iajs-3140	168	10			X
iajs-3140	168	11			NOUN
iajs-3140	168	12			NOUN
iajs-3140	168	13			NOUN
iajs-3140	168	14			VERB
iajs-3140	168	15			PROPN
iajs-3140	168	16	c	c	PROPN
iajs-3140	168	17	b	b	PROPN
iajs-3140	168	18	a	a	DET
iajs-3140	168	19	=	=	SYM
iajs-3140	168	20	0	0	NUM
iajs-3140	168	21	(	(	PUNCT
iajs-3140	168	22	15	15	NUM
iajs-3140	168	23	)	)	PUNCT
iajs-3140	168	24	if	if	SCONJ
iajs-3140	168	25	we	we	PRON
iajs-3140	168	26	assume	assume	VERB
iajs-3140	168	27	a	a	DET
iajs-3140	168	28	symmetrical	symmetrical	ADJ
iajs-3140	168	29	cross	cross	NOUN
iajs-3140	168	30	-	-	NOUN
iajs-3140	168	31	section	section	NOUN
iajs-3140	168	32	about	about	ADP
iajs-3140	168	33	principal	principal	ADJ
iajs-3140	168	34	axes	axis	NOUN
iajs-3140	168	35	(	(	PUNCT
iajs-3140	168	36	i.e.	i.e.	X
iajs-3140	168	37	,	,	PUNCT
iajs-3140	168	38	and	and	CCONJ
iajs-3140	168	39	)	)	PUNCT
iajs-3140	168	40	,	,	PUNCT
iajs-3140	168	41	the	the	DET
iajs-3140	168	42	solution	solution	NOUN
iajs-3140	168	43	will	will	AUX
iajs-3140	168	44	be	be	AUX
iajs-3140	168	45	reduced	reduce	VERB
iajs-3140	168	46	to	to	ADP
iajs-3140	168	47	equation	equation	NOUN
iajs-3140	168	48	16	16	NUM
iajs-3140	168	49	:	:	PUNCT
iajs-3140	169	1			PROPN
iajs-3140	169	2			PROPN
iajs-3140	169	3			PROPN
iajs-3140	169	4			PROPN
iajs-3140	169	5			X
iajs-3140	169	6			NOUN
iajs-3140	169	7			NOUN
iajs-3140	169	8			NOUN
iajs-3140	169	9			NOUN
iajs-3140	169	10			PROPN
iajs-3140	169	11			NOUN
iajs-3140	169	12			NOUN
iajs-3140	169	13			NOUN
iajs-3140	169	14	)	)	PUNCT
iajs-3140	169	15	(	(	PUNCT
iajs-3140	169	16	)	)	PUNCT
iajs-3140	169	17	(	(	PUNCT
iajs-3140	169	18	)	)	PUNCT
iajs-3140	169	19	(	(	PUNCT
iajs-3140	169	20	)	)	PUNCT
iajs-3140	169	21	(	(	PUNCT
iajs-3140	169	22	)	)	PUNCT
iajs-3140	169	23	(	(	PUNCT
iajs-3140	169	24	)	)	PUNCT
iajs-3140	169	25	(	(	PUNCT
iajs-3140	169	26	)	)	PUNCT
iajs-3140	169	27	(	(	PUNCT
iajs-3140	169	28	)	)	PUNCT
iajs-3140	169	29	(	(	PUNCT
iajs-3140	169	30	)	)	PUNCT
iajs-3140	169	31	(	(	PUNCT
iajs-3140	169	32	222	222	NUM
iajs-3140	169	33	222	222	NUM
iajs-3140	169	34	222	222	NUM
iajs-3140	170	1			NOUN
iajs-3140	171	1			PUNCT
iajs-3140	171	2			PROPN
iajs-3140	171	3	utsrqp	utsrqp	PROPN
iajs-3140	171	4	onmlkj	onmlkj	VERB
iajs-3140	171	5	ihgfed	ihgfed	ADJ
iajs-3140	171	6			PROPN
iajs-3140	171	7			PROPN
iajs-3140	171	8			PROPN
iajs-3140	171	9			PROPN
iajs-3140	171	10			X
iajs-3140	171	11			NOUN
iajs-3140	171	12			NOUN
iajs-3140	171	13			NOUN
iajs-3140	171	14			VERB
iajs-3140	171	15			PROPN
iajs-3140	171	16	c	c	PROPN
iajs-3140	171	17	b	b	PROPN
iajs-3140	171	18	a	a	DET
iajs-3140	171	19	=	=	SYM
iajs-3140	171	20	0	0	SYM
iajs-3140	171	21	(	(	PUNCT
iajs-3140	171	22	16	16	NUM
iajs-3140	171	23	)	)	PUNCT
iajs-3140	171	24	the	the	DET
iajs-3140	171	25	terms	term	NOUN
iajs-3140	171	26	d	d	PROPN
iajs-3140	171	27	,	,	PUNCT
iajs-3140	171	28	e,	e,	NOUN
iajs-3140	171	29	..	..	PUNCT
iajs-3140	171	30	etc	etc	X
iajs-3140	171	31	in	in	ADP
iajs-3140	171	32	the	the	DET
iajs-3140	171	33	eigenvalues	eigenvalue	NOUN
iajs-3140	171	34	matrix	matrix	NOUN
iajs-3140	171	35	presented	present	VERB
iajs-3140	171	36	in	in	ADP
iajs-3140	171	37	equation	equation	NOUN
iajs-3140	171	38	15	15	NUM
iajs-3140	171	39	are	be	AUX
iajs-3140	171	40	given	give	VERB
iajs-3140	171	41	in	in	ADP
iajs-3140	171	42	equations	equation	NOUN
iajs-3140	171	43	17	17	NUM
iajs-3140	171	44	-	-	SYM
iajs-3140	171	45	27	27	NUM
iajs-3140	171	46	shown	show	VERB
iajs-3140	171	47	below	below	ADP
iajs-3140	171	48	:	:	PUNCT
iajs-3140	171	49			NOUN
iajs-3140	171	50			PROPN
iajs-3140	171	51			NOUN
iajs-3140	171	52			SYM
iajs-3140	171	53			NOUN
iajs-3140	171	54			SYM
iajs-3140	171	55			NOUN
iajs-3140	171	56			NOUN
iajs-3140	171	57			PRON
iajs-3140	171	58			NOUN
iajs-3140	171	59			PROPN
iajs-3140	171	60			PROPN
iajs-3140	171	61			PROPN
iajs-3140	171	62			PROPN
iajs-3140	171	63			PUNCT
iajs-3140	171	64			PUNCT
iajs-3140	171	65			PROPN
iajs-3140	171	66			PRON
iajs-3140	171	67			PROPN
iajs-3140	171	68			PUNCT
iajs-3140	171	69			PUNCT
iajs-3140	171	70			PROPN
iajs-3140	171	71			PROPN
iajs-3140	171	72			NOUN
iajs-3140	171	73	3	3	NUM
iajs-3140	171	74	7.4	7.4	NUM
iajs-3140	171	75	2	2	NUM
iajs-3140	171	76	6.47.3	6.47.3	NUM
iajs-3140	171	77	1	1	NUM
iajs-3140	171	78	5.46.37.25.36.2	5.46.37.25.36.2	PROPN
iajs-3140	171	79	1	1	NUM
iajs-3140	171	80	5.2	5.2	NUM
iajs-3140	171	81	1	1	NUM
iajs-3140	171	82	,	,	PUNCT
iajs-3140	171	83	jr	jr	PROPN
iajs-3140	171	84	jr	jr	PROPN
iajs-3140	171	85	jr	jr	PROPN
iajs-3140	171	86	jrjr	jrjr	PROPN
iajs-3140	171	87	jr	jr	PROPN
iajs-3140	171	88	jrjrjr	jrjrjr	PROPN
iajs-3140	171	89	jr	jr	PROPN
iajs-3140	172	1	jrjr	jrjr	PROPN
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iajs-3140	172	35			NUM
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iajs-3140	172	83			SYM
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iajs-3140	172	85			SYM
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iajs-3140	172	88			PRON
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iajs-3140	172	91			PROPN
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iajs-3140	172	97			PUNCT
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iajs-3140	172	101			NUM
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iajs-3140	172	137			SYM
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iajs-3140	174	21			NUM
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iajs-3140	175	81			SYM
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iajs-3140	175	99			NOUN
iajs-3140	175	100			PROPN
iajs-3140	175	101	3	3	NUM
iajs-3140	175	102	8.8	8.8	NUM
iajs-3140	175	103	2	2	NUM
iajs-3140	175	104	88	88	NUM
iajs-3140	175	105	1	1	NUM
iajs-3140	175	106	122	122	NUM
iajs-3140	175	107	3	3	NUM
iajs-3140	175	108	,	,	PUNCT
iajs-3140	175	109	jr	jr	PROPN
iajs-3140	175	110	jr	jr	PROPN
iajs-3140	175	111	jr	jr	PROPN
iajs-3140	175	112	rj	rj	PROPN
iajs-3140	175	113	jr	jr	PROPN
iajs-3140	175	114	rr	rr	PROPN
iajs-3140	176	1	a	a	PRON
iajs-3140	176	2	i	i	PRON
iajs-3140	176	3	u	u	NOUN
iajs-3140	176	4	yx	yx	PROPN
iajs-3140	176	5	p	p	PROPN
iajs-3140	176	6	rj	rj	PROPN
iajs-3140	176	7			X
iajs-3140	176	8	(	(	PUNCT
iajs-3140	176	9	27	27	NUM
iajs-3140	176	10	)	)	PUNCT
iajs-3140	176	11	where	where	SCONJ
iajs-3140	176	12	𝐽5	𝐽5	PROPN
iajs-3140	176	13	=	=	PUNCT
iajs-3140	176	14	(	(	PUNCT
iajs-3140	176	15	𝑗	𝑗	X
iajs-3140	176	16	+	+	ADJ
iajs-3140	176	17	2	2	NUM
iajs-3140	176	18	)	)	PUNCT
iajs-3140	176	19	(	(	PUNCT
iajs-3140	176	20	𝑗	𝑗	PROPN
iajs-3140	177	1	+	+	CCONJ
iajs-3140	177	2	3)/6	3)/6	NUM
iajs-3140	177	3	,	,	PUNCT
iajs-3140	177	4	𝐽6	𝐽6	NOUN
iajs-3140	177	5	=	=	SYM
iajs-3140	178	1	𝑗	𝑗	X
iajs-3140	178	2	(	(	PUNCT
iajs-3140	178	3	𝑗	𝑗	PROPN
iajs-3140	178	4	+	+	NUM
iajs-3140	178	5	3)/3	3)/3	NUM
iajs-3140	178	6	,	,	PUNCT
iajs-3140	178	7	𝐽7	𝐽7	PROPN
iajs-3140	178	8	=	=	SYM
iajs-3140	178	9	𝑗	𝑗	PROPN
iajs-3140	178	10	(	(	PUNCT
iajs-3140	178	11	𝑗	𝑗	PROPN
iajs-3140	178	12	+	+	NUM
iajs-3140	178	13	1)/6	1)/6	NUM
iajs-3140	178	14	,	,	PUNCT
iajs-3140	178	15	𝐽8	𝐽8	PROPN
iajs-3140	178	16	=	=	SYM
iajs-3140	178	17	𝑗/(𝑗	𝑗/(𝑗	PROPN
iajs-3140	178	18	+	+	CCONJ
iajs-3140	178	19	1	1	X
iajs-3140	178	20	)	)	PUNCT
iajs-3140	178	21	and	and	CCONJ
iajs-3140	178	22	𝑅1	𝑅1	NUM
iajs-3140	178	23	=	=	SYM
iajs-3140	179	1	𝑟	𝑟	NOUN
iajs-3140	179	2	(	(	PUNCT
iajs-3140	179	3	𝑟	𝑟	NOUN
iajs-3140	179	4	+	+	NOUN
iajs-3140	179	5	1	1	NUM
iajs-3140	179	6	)	)	PUNCT
iajs-3140	179	7	(	(	PUNCT
iajs-3140	179	8	𝑟	𝑟	NOUN
iajs-3140	179	9	+	+	ADP
iajs-3140	179	10	2	2	NUM
iajs-3140	179	11	)	)	PUNCT
iajs-3140	179	12	(	(	PUNCT
iajs-3140	179	13	𝑟	𝑟	NOUN
iajs-3140	179	14	+	+	CCONJ
iajs-3140	179	15	3	3	NUM
iajs-3140	179	16	)	)	PUNCT
iajs-3140	179	17	,	,	PUNCT
iajs-3140	179	18	𝑅2	𝑅2	ADP
iajs-3140	179	19	=	=	PUNCT
iajs-3140	179	20	(	(	PUNCT
iajs-3140	179	21	𝑟	𝑟	NOUN
iajs-3140	179	22	−	−	PROPN
iajs-3140	179	23	1	1	NUM
iajs-3140	179	24	)	)	PUNCT
iajs-3140	179	25	(	(	PUNCT
iajs-3140	179	26	𝑟	𝑟	X
iajs-3140	179	27	−	−	PROPN
iajs-3140	179	28	2)/6	2)/6	NUM
iajs-3140	179	29	,	,	PUNCT
iajs-3140	179	30	𝑅3	𝑅3	PROPN
iajs-3140	179	31	=	=	SYM
iajs-3140	179	32	𝑟	𝑟	NOUN
iajs-3140	179	33	(	(	PUNCT
iajs-3140	179	34	𝑟	𝑟	NOUN
iajs-3140	179	35	−	−	NOUN
iajs-3140	179	36	1)/3	1)/3	PROPN
iajs-3140	179	37	,	,	PUNCT
iajs-3140	179	38	𝑅4	𝑅4	PROPN
iajs-3140	179	39	=	=	SYM
iajs-3140	179	40	𝑟	𝑟	NOUN
iajs-3140	179	41	(	(	PUNCT
iajs-3140	179	42	𝑟	𝑟	NOUN
iajs-3140	179	43	+	+	SYM
iajs-3140	179	44	1)/6	1)/6	NUM
iajs-3140	179	45	𝑅5	𝑅5	NOUN
iajs-3140	179	46	=	=	SYM
iajs-3140	179	47	(	(	PUNCT
iajs-3140	179	48	𝑟	𝑟	NOUN
iajs-3140	179	49	+	+	ADP
iajs-3140	179	50	2	2	NUM
iajs-3140	179	51	)	)	PUNCT
iajs-3140	179	52	(	(	PUNCT
iajs-3140	179	53	𝑟	𝑟	NOUN
iajs-3140	179	54	+	+	CCONJ
iajs-3140	179	55	3)/6	3)/6	NUM
iajs-3140	179	56	,	,	PUNCT
iajs-3140	179	57	𝑅6	𝑅6	X
iajs-3140	180	1	=	=	PUNCT
iajs-3140	180	2	𝑟(𝑟	𝑟(𝑟	PROPN
iajs-3140	180	3	+	+	NUM
iajs-3140	180	4	3)/3	3)/3	NUM
iajs-3140	180	5	,	,	PUNCT
iajs-3140	180	6	𝑅7	𝑅7	ADP
iajs-3140	180	7	=	=	SYM
iajs-3140	180	8	𝑟(𝑟	𝑟(𝑟	PROPN
iajs-3140	181	1	+	+	NUM
iajs-3140	181	2	1)/6	1)/6	NUM
iajs-3140	181	3	,	,	PUNCT
iajs-3140	181	4	𝑅8	𝑅8	PROPN
iajs-3140	182	1	=	=	NOUN
iajs-3140	182	2	𝑟/(𝑟	𝑟/(𝑟	NUM
iajs-3140	182	3	+	+	NOUN
iajs-3140	182	4	1	1	NUM
iajs-3140	182	5	)	)	PUNCT
iajs-3140	183	1	,	,	PUNCT
iajs-3140	183	2	𝑅9	𝑅9	X
iajs-3140	184	1	=	=	SYM
iajs-3140	184	2	𝑟(𝑟	𝑟(𝑟	NOUN
iajs-3140	184	3	−	−	NOUN
iajs-3140	184	4	1	1	NUM
iajs-3140	184	5	)	)	PUNCT
iajs-3140	184	6	,	,	PUNCT
iajs-3140	184	7	𝑅10	𝑅10	PROPN
iajs-3140	185	1	=	=	PUNCT
iajs-3140	185	2	𝑟²	𝑟²	PROPN
iajs-3140	185	3	,	,	PUNCT
iajs-3140	185	4	𝑅𝐽	𝑅𝐽	PROPN
iajs-3140	185	5	=	=	PUNCT
iajs-3140	185	6	𝑟	𝑟	NOUN
iajs-3140	186	1	+	+	CCONJ
iajs-3140	186	2	𝑗	𝑗	INTJ
iajs-3140	186	3	it	it	PRON
iajs-3140	186	4	is	be	AUX
iajs-3140	186	5	basically	basically	ADV
iajs-3140	186	6	that	that	SCONJ
iajs-3140	186	7	as	as	ADV
iajs-3140	186	8	well	well	ADV
iajs-3140	186	9	as	as	ADP
iajs-3140	186	10	are	be	AUX
iajs-3140	186	11	involved	involve	VERB
iajs-3140	186	12	in	in	ADP
iajs-3140	186	13	the	the	DET
iajs-3140	186	14	u	u	NOUN
iajs-3140	186	15	of	of	ADP
iajs-3140	186	16	equation	equation	NOUN
iajs-3140	186	17	27	27	NUM
iajs-3140	186	18	.	.	PUNCT
iajs-3140	187	1	otherwise	otherwise	ADV
iajs-3140	187	2	,	,	PUNCT
iajs-3140	187	3	an	an	DET
iajs-3140	187	4	error	error	NOUN
iajs-3140	187	5	will	will	AUX
iajs-3140	187	6	be	be	AUX
iajs-3140	187	7	produced	produce	VERB
iajs-3140	187	8	in	in	ADP
iajs-3140	187	9	the	the	DET
iajs-3140	187	10	calculated	calculate	VERB
iajs-3140	187	11	frequencies	frequency	NOUN
iajs-3140	187	12	.	.	PUNCT
iajs-3140	188	1	developed	develop	VERB
iajs-3140	188	2	program	program	NOUN
iajs-3140	188	3	the	the	DET
iajs-3140	188	4	values	value	NOUN
iajs-3140	188	5	and	and	CCONJ
iajs-3140	188	6	parameters	parameter	NOUN
iajs-3140	188	7	for	for	ADP
iajs-3140	188	8	the	the	DET
iajs-3140	188	9	derived	derive	VERB
iajs-3140	188	10	and	and	CCONJ
iajs-3140	188	11	integrated	integrate	VERB
iajs-3140	188	12	equations	equation	NOUN
iajs-3140	188	13	are	be	AUX
iajs-3140	188	14	computed	compute	VERB
iajs-3140	188	15	by	by	ADP
iajs-3140	188	16	the	the	DET
iajs-3140	188	17	developed	develop	VERB
iajs-3140	188	18	computer	computer	NOUN
iajs-3140	188	19	program	program	NOUN
iajs-3140	188	20	to	to	PART
iajs-3140	188	21	calculate	calculate	VERB
iajs-3140	188	22	the	the	DET
iajs-3140	188	23	natural	natural	ADJ
iajs-3140	188	24	frequencies	frequency	NOUN
iajs-3140	188	25	of	of	ADP
iajs-3140	188	26	the	the	DET
iajs-3140	188	27	cantilever	cantilever	NOUN
iajs-3140	188	28	beam	beam	NOUN
iajs-3140	188	29	.	.	PUNCT
iajs-3140	189	1	the	the	DET
iajs-3140	189	2	developed	develop	VERB
iajs-3140	189	3	program	program	NOUN
iajs-3140	189	4	is	be	AUX
iajs-3140	189	5	given	give	VERB
iajs-3140	189	6	in	in	ADP
iajs-3140	189	7	the	the	DET
iajs-3140	189	8	flow	flow	NOUN
iajs-3140	189	9	chart	chart	NOUN
iajs-3140	189	10	depicted	depict	VERB
iajs-3140	189	11	in	in	ADP
iajs-3140	189	12	fig	fig	NOUN
iajs-3140	189	13	.	.	PUNCT
iajs-3140	190	1	2	2	X
iajs-3140	190	2	.	.	X
iajs-3140	190	3	gc	gc	PROPN
iajs-3140	190	4	lw	lw	PROPN
iajs-3140	190	5	gie	gie	PROPN
iajs-3140	190	6	lw	lw	PROPN
iajs-3140	190	7	gie	gie	NOUN
iajs-3140	190	8	lw	lw	PROPN
iajs-3140	190	9	yyxx	yyxx	NOUN
iajs-3140	190	10	2	2	NUM
iajs-3140	190	11	3	3	NUM
iajs-3140	190	12	4	4	NUM
iajs-3140	190	13	2	2	NUM
iajs-3140	190	14	4	4	NUM
iajs-3140	190	15	1	1	NUM
iajs-3140	190	16	,	,	PUNCT
iajs-3140	190	17	,	,	PUNCT
iajs-3140	190	18			CCONJ
iajs-3140	190	19			NUM
iajs-3140	191	1			ADJ
iajs-3140	191	2			PRON
iajs-3140	192	1			ADV
iajs-3140	193	1			PROPN
iajs-3140	193	2			ADP
iajs-3140	193	3	2	2	NUM
iajs-3140	193	4	x	x	SYM
iajs-3140	193	5	r	r	NOUN
iajs-3140	193	6	2	2	NUM
iajs-3140	193	7	y	y	NOUN
iajs-3140	193	8	r	r	NOUN
iajs-3140	193	9	ihjpas	ihjpa	NOUN
iajs-3140	193	10	.	.	PUNCT
iajs-3140	194	1	36	36	NUM
iajs-3140	194	2	(	(	PUNCT
iajs-3140	194	3	4	4	NUM
iajs-3140	194	4	)	)	PUNCT
iajs-3140	194	5	2023	2023	NUM
iajs-3140	194	6	438	438	NUM
iajs-3140	194	7	figure	figure	NOUN
iajs-3140	194	8	2	2	NUM
iajs-3140	194	9	.	.	PUNCT
iajs-3140	194	10	flow	flow	VERB
iajs-3140	194	11	chart	chart	NOUN
iajs-3140	194	12	of	of	ADP
iajs-3140	194	13	the	the	DET
iajs-3140	194	14	developed	develop	VERB
iajs-3140	194	15	matlab	matlab	PROPN
iajs-3140	194	16	code	code	NOUN
iajs-3140	194	17	for	for	ADP
iajs-3140	194	18	solving	solve	VERB
iajs-3140	194	19	the	the	DET
iajs-3140	194	20	proposed	propose	VERB
iajs-3140	194	21	analytical	analytical	ADJ
iajs-3140	194	22	solution	solution	NOUN
iajs-3140	194	23	of	of	ADP
iajs-3140	194	24	the	the	DET
iajs-3140	194	25	free	free	ADJ
iajs-3140	194	26	vibration	vibration	NOUN
iajs-3140	194	27	cantilever	cantilever	NOUN
iajs-3140	194	28	beam	beam	NOUN
iajs-3140	194	29	.	.	PUNCT
iajs-3140	195	1	verification	verification	NOUN
iajs-3140	195	2	case	case	NOUN
iajs-3140	195	3	a	a	DET
iajs-3140	195	4	verification	verification	NOUN
iajs-3140	195	5	case	case	NOUN
iajs-3140	195	6	is	be	AUX
iajs-3140	195	7	used	use	VERB
iajs-3140	195	8	here	here	ADV
iajs-3140	195	9	to	to	PART
iajs-3140	195	10	investigate	investigate	VERB
iajs-3140	195	11	the	the	DET
iajs-3140	195	12	reliability	reliability	NOUN
iajs-3140	195	13	of	of	ADP
iajs-3140	195	14	the	the	DET
iajs-3140	195	15	developed	develop	VERB
iajs-3140	195	16	analytical	analytical	ADJ
iajs-3140	195	17	model	model	NOUN
iajs-3140	196	1	[	[	X
iajs-3140	196	2	20	20	NUM
iajs-3140	196	3	]	]	PUNCT
iajs-3140	196	4	.	.	PUNCT
iajs-3140	197	1	the	the	DET
iajs-3140	197	2	fundamental	fundamental	ADJ
iajs-3140	197	3	natural	natural	ADJ
iajs-3140	197	4	frequency	frequency	NOUN
iajs-3140	197	5	was	be	AUX
iajs-3140	197	6	calculated	calculate	VERB
iajs-3140	197	7	using	use	VERB
iajs-3140	197	8	the	the	DET
iajs-3140	197	9	proposed	propose	VERB
iajs-3140	197	10	analytical	analytical	ADJ
iajs-3140	197	11	solution	solution	NOUN
iajs-3140	197	12	over	over	ADP
iajs-3140	197	13	various	various	ADJ
iajs-3140	197	14	temperatures	temperature	NOUN
iajs-3140	197	15	and	and	CCONJ
iajs-3140	197	16	aspect	aspect	NOUN
iajs-3140	197	17	ratios	ratio	NOUN
iajs-3140	197	18	.	.	PUNCT
iajs-3140	198	1	the	the	DET
iajs-3140	198	2	young	young	ADJ
iajs-3140	198	3	modulus	modulus	NOUN
iajs-3140	198	4	of	of	ADP
iajs-3140	198	5	elasticity	elasticity	NOUN
iajs-3140	198	6	and	and	CCONJ
iajs-3140	198	7	passion	passion	NOUN
iajs-3140	198	8	ratio	ratio	NOUN
iajs-3140	198	9	of	of	ADP
iajs-3140	198	10	the	the	DET
iajs-3140	198	11	aisi	aisi	PROPN
iajs-3140	198	12	304	304	NUM
iajs-3140	198	13	austenitic	austenitic	ADJ
iajs-3140	198	14	stainless	stainless	ADJ
iajs-3140	198	15	steel	steel	NOUN
iajs-3140	198	16	for	for	ADP
iajs-3140	198	17	different	different	ADJ
iajs-3140	198	18	temperatures	temperature	NOUN
iajs-3140	198	19	are	be	AUX
iajs-3140	198	20	presented	present	VERB
iajs-3140	198	21	in	in	ADP
iajs-3140	198	22	table	table	NOUN
iajs-3140	198	23	1	1	NUM
iajs-3140	198	24	.	.	PUNCT
iajs-3140	199	1	the	the	DET
iajs-3140	199	2	density	density	NOUN
iajs-3140	199	3	of	of	ADP
iajs-3140	199	4	this	this	DET
iajs-3140	199	5	type	type	NOUN
iajs-3140	199	6	of	of	ADP
iajs-3140	199	7	steel	steel	NOUN
iajs-3140	199	8	is	be	AUX
iajs-3140	199	9	=	=	NOUN
iajs-3140	199	10	7850	7850	NUM
iajs-3140	199	11	.	.	PUNCT
iajs-3140	200	1	the	the	DET
iajs-3140	200	2	experimental	experimental	ADJ
iajs-3140	200	3	results	result	NOUN
iajs-3140	200	4	in	in	ADP
iajs-3140	200	5	ref.[20]is	ref.[20]is	NOUN
iajs-3140	200	6	invoked	invoke	VERB
iajs-3140	200	7	here	here	ADV
iajs-3140	200	8	for	for	ADP
iajs-3140	200	9	comparison	comparison	NOUN
iajs-3140	200	10	.	.	PUNCT
iajs-3140	201	1	table	table	NOUN
iajs-3140	201	2	1	1	NUM
iajs-3140	201	3	.	.	PUNCT
iajs-3140	201	4	modulus	modulus	NOUN
iajs-3140	201	5	of	of	ADP
iajs-3140	201	6	elasticity	elasticity	NOUN
iajs-3140	201	7	and	and	CCONJ
iajs-3140	201	8	passion	passion	NOUN
iajs-3140	201	9	ratio	ratio	NOUN
iajs-3140	201	10	of	of	ADP
iajs-3140	201	11	aisi	aisi	PROPN
iajs-3140	201	12	304	304	NUM
iajs-3140	201	13	austenitic	austenitic	ADJ
iajs-3140	201	14	stainless	stainless	ADJ
iajs-3140	201	15	steel	steel	NOUN
iajs-3140	201	16	for	for	ADP
iajs-3140	201	17	different	different	ADJ
iajs-3140	201	18	temperatures	temperature	NOUN
iajs-3140	201	19	[	[	X
iajs-3140	201	20	20	20	NUM
iajs-3140	201	21	]	]	PUNCT
iajs-3140	201	22	temperature	temperature	NOUN
iajs-3140	201	23	℃	℃	PROPN
iajs-3140	201	24	modulus	modulus	NOUN
iajs-3140	201	25	of	of	ADP
iajs-3140	201	26	elasticity	elasticity	NOUN
iajs-3140	201	27	position	position	NOUN
iajs-3140	201	28	ratio	ratio	NOUN
iajs-3140	201	29	(	(	PUNCT
iajs-3140	201	30	ν	ν	NOUN
iajs-3140	201	31	)	)	PUNCT
iajs-3140	201	32	-100	-100	PROPN
iajs-3140	201	33	204	204	NUM
iajs-3140	202	1	25	25	NUM
iajs-3140	202	2	194	194	NUM
iajs-3140	202	3	0.265	0.265	NUM
iajs-3140	202	4	50	50	NUM
iajs-3140	202	5	193	193	NUM
iajs-3140	202	6	0.267	0.267	NUM
iajs-3140	202	7	100	100	NUM
iajs-3140	202	8	190	190	NUM
iajs-3140	202	9	0.272	0.272	NUM
iajs-3140	202	10	150	150	NUM
iajs-3140	202	11	187	187	NUM
iajs-3140	202	12	0.276	0.276	NUM
iajs-3140	202	13	200	200	NUM
iajs-3140	202	14	184	184	NUM
iajs-3140	202	15	0.280	0.280	NUM
iajs-3140	202	16			ADP
iajs-3140	202	17	3	3	NUM
iajs-3140	202	18	m	m	NOUN
iajs-3140	202	19	kg	kg	NOUN
iajs-3140	202	20	start	start	VERB
iajs-3140	202	21	input	input	NOUN
iajs-3140	202	22	the	the	DET
iajs-3140	202	23	dimensions	dimension	NOUN
iajs-3140	202	24	of	of	ADP
iajs-3140	202	25	cantilever	cantilever	NOUN
iajs-3140	202	26	beam	beam	NOUN
iajs-3140	202	27	(	(	PUNCT
iajs-3140	202	28	a	a	PRON
iajs-3140	202	29	,	,	PUNCT
iajs-3140	202	30	b	b	PROPN
iajs-3140	202	31	&	&	CCONJ
iajs-3140	202	32	t	t	PROPN
iajs-3140	202	33	)	)	PUNCT
iajs-3140	202	34	and	and	CCONJ
iajs-3140	202	35	material	material	NOUN
iajs-3140	202	36	density	density	NOUN
iajs-3140	202	37	calculate	calculate	VERB
iajs-3140	202	38	the	the	DET
iajs-3140	202	39	moment	moment	NOUN
iajs-3140	202	40	of	of	ADP
iajs-3140	202	41	inertias	inertia	NOUN
iajs-3140	202	42	and	and	CCONJ
iajs-3140	202	43	all	all	DET
iajs-3140	202	44	the	the	DET
iajs-3140	202	45	geometrical	geometrical	ADJ
iajs-3140	202	46	factors	factor	NOUN
iajs-3140	202	47	(	(	PUNCT
iajs-3140	202	48	ixx	ixx	NOUN
iajs-3140	202	49	,	,	PUNCT
iajs-3140	202	50	iyy	iyy	VERB
iajs-3140	202	51	,	,	PUNCT
iajs-3140	202	52	a	a	DET
iajs-3140	202	53	etc	etc	X
iajs-3140	202	54	)	)	PUNCT
iajs-3140	202	55	compute	compute	VERB
iajs-3140	202	56	the	the	DET
iajs-3140	202	57	elements	element	NOUN
iajs-3140	202	58	values	value	NOUN
iajs-3140	202	59	of	of	ADP
iajs-3140	202	60	the	the	DET
iajs-3140	202	61	eigenvalue	eigenvalue	PROPN
iajs-3140	202	62	problem	problem	NOUN
iajs-3140	202	63	matrix	matrix	NOUN
iajs-3140	202	64	(	(	PUNCT
iajs-3140	202	65	d	d	NOUN
iajs-3140	202	66	,	,	PUNCT
iajs-3140	202	67	e	e	NOUN
iajs-3140	202	68	,	,	PUNCT
iajs-3140	202	69	l	l	NOUN
iajs-3140	202	70	,	,	PUNCT
iajs-3140	202	71	m	m	PROPN
iajs-3140	202	72	,	,	PUNCT
iajs-3140	202	73	t	t	PROPN
iajs-3140	202	74	,	,	PUNCT
iajs-3140	202	75	u	u	NOUN
iajs-3140	202	76	etc	etc	X
iajs-3140	202	77	)	)	PUNCT
iajs-3140	202	78	compute	compute	VERB
iajs-3140	202	79	the	the	DET
iajs-3140	202	80	natural	natural	ADJ
iajs-3140	202	81	frequency	frequency	NOUN
iajs-3140	202	82	under	under	ADP
iajs-3140	202	83	a	a	DET
iajs-3140	202	84	specific	specific	ADJ
iajs-3140	202	85	temperature	temperature	NOUN
iajs-3140	202	86	based	base	VERB
iajs-3140	202	87	on	on	ADP
iajs-3140	202	88	eq	eq	PROPN
iajs-3140	202	89	.	.	PUNCT
iajs-3140	203	1	(	(	PUNCT
iajs-3140	203	2	16	16	NUM
iajs-3140	203	3	)	)	PUNCT
iajs-3140	203	4	present	present	ADJ
iajs-3140	203	5	natural	natural	ADJ
iajs-3140	203	6	frequencies	frequency	NOUN
iajs-3140	203	7	under	under	ADP
iajs-3140	203	8	a	a	DET
iajs-3140	203	9	specific	specific	ADJ
iajs-3140	203	10	temperature	temperature	NOUN
iajs-3140	203	11	end	end	NOUN
iajs-3140	203	12	input	input	NOUN
iajs-3140	203	13	the	the	DET
iajs-3140	203	14	modulus	modulus	NOUN
iajs-3140	203	15	of	of	ADP
iajs-3140	203	16	elasticity	elasticity	NOUN
iajs-3140	203	17	and	and	CCONJ
iajs-3140	203	18	poisson	poisson	NOUN
iajs-3140	203	19	s	s	PART
iajs-3140	203	20	ratio	ratio	NOUN
iajs-3140	203	21	under	under	ADP
iajs-3140	203	22	a	a	DET
iajs-3140	203	23	specific	specific	ADJ
iajs-3140	203	24	surrounding	surround	VERB
iajs-3140	203	25	temperature	temperature	NOUN
iajs-3140	203	26	change	change	NOUN
iajs-3140	203	27	temperature	temperature	NOUN
iajs-3140	203	28	value	value	NOUN
iajs-3140	203	29	is	be	AUX
iajs-3140	203	30	cross	cross	ADJ
iajs-3140	203	31	-	-	ADJ
iajs-3140	203	32	sectional	sectional	ADJ
iajs-3140	203	33	area	area	NOUN
iajs-3140	203	34	symmetric	symmetric	ADJ
iajs-3140	203	35	?	?	PUNCT
iajs-3140	204	1	the	the	DET
iajs-3140	204	2	values	value	NOUN
iajs-3140	204	3	of	of	ADP
iajs-3140	204	4	rx	rx	VERB
iajs-3140	204	5	and	and	CCONJ
iajs-3140	204	6	ry	ry	PART
iajs-3140	204	7	compute	compute	VERB
iajs-3140	204	8	the	the	DET
iajs-3140	204	9	natural	natural	ADJ
iajs-3140	204	10	frequency	frequency	NOUN
iajs-3140	204	11	under	under	ADP
iajs-3140	204	12	a	a	DET
iajs-3140	204	13	specific	specific	ADJ
iajs-3140	204	14	temperature	temperature	NOUN
iajs-3140	204	15	based	base	VERB
iajs-3140	204	16	on	on	ADP
iajs-3140	204	17	eq	eq	PROPN
iajs-3140	204	18	.	.	PUNCT
iajs-3140	205	1	(	(	PUNCT
iajs-3140	205	2	15	15	NUM
iajs-3140	205	3	)	)	PUNCT
iajs-3140	205	4	present	present	ADJ
iajs-3140	205	5	natural	natural	ADJ
iajs-3140	205	6	frequencies	frequency	NOUN
iajs-3140	205	7	as	as	ADP
iajs-3140	205	8	a	a	DET
iajs-3140	205	9	function	function	NOUN
iajs-3140	205	10	of	of	ADP
iajs-3140	205	11	surrounding	surround	VERB
iajs-3140	205	12	temperature	temperature	NOUN
iajs-3140	206	1	yes	yes	INTJ
iajs-3140	206	2	no	no	DET
iajs-3140	206	3	ihjpas	ihjpa	NOUN
iajs-3140	206	4	.	.	PUNCT
iajs-3140	207	1	36	36	NUM
iajs-3140	207	2	(	(	PUNCT
iajs-3140	207	3	4	4	NUM
iajs-3140	207	4	)	)	PUNCT
iajs-3140	207	5	2023	2023	NUM
iajs-3140	207	6	439	439	NUM
iajs-3140	208	1	250	250	NUM
iajs-3140	208	2	181	181	NUM
iajs-3140	208	3	0.284	0.284	NUM
iajs-3140	208	4	300	300	NUM
iajs-3140	208	5	177	177	NUM
iajs-3140	208	6	0.288	0.288	NUM
iajs-3140	208	7	350	350	NUM
iajs-3140	208	8	173	173	NUM
iajs-3140	208	9	0.292	0.292	NUM
iajs-3140	208	10	400	400	NUM
iajs-3140	208	11	168	168	NUM
iajs-3140	208	12	0.295	0.295	NUM
iajs-3140	208	13	3	3	NUM
iajs-3140	208	14	.	.	PUNCT
iajs-3140	208	15	results	result	NOUN
iajs-3140	208	16	and	and	CCONJ
iajs-3140	208	17	discussion	discussion	NOUN
iajs-3140	208	18	this	this	DET
iajs-3140	208	19	study	study	NOUN
iajs-3140	208	20	used	use	VERB
iajs-3140	208	21	different	different	ADJ
iajs-3140	208	22	aspect	aspect	NOUN
iajs-3140	208	23	ratios	ratio	NOUN
iajs-3140	208	24	to	to	PART
iajs-3140	208	25	involve	involve	VERB
iajs-3140	208	26	the	the	DET
iajs-3140	208	27	effect	effect	NOUN
iajs-3140	208	28	of	of	ADP
iajs-3140	208	29	geometry	geometry	NOUN
iajs-3140	208	30	besides	besides	SCONJ
iajs-3140	208	31	the	the	DET
iajs-3140	208	32	temperature	temperature	NOUN
iajs-3140	208	33	on	on	ADP
iajs-3140	208	34	the	the	DET
iajs-3140	208	35	fundamental	fundamental	ADJ
iajs-3140	208	36	natural	natural	ADJ
iajs-3140	208	37	frequency	frequency	NOUN
iajs-3140	208	38	.	.	PUNCT
iajs-3140	209	1	also	also	ADV
iajs-3140	209	2	,	,	PUNCT
iajs-3140	209	3	three	three	NUM
iajs-3140	209	4	thicknesses	thickness	NOUN
iajs-3140	209	5	of	of	ADP
iajs-3140	209	6	the	the	DET
iajs-3140	209	7	cantilever	cantilever	NOUN
iajs-3140	209	8	beam	beam	NOUN
iajs-3140	209	9	are	be	AUX
iajs-3140	209	10	utilized	utilize	VERB
iajs-3140	209	11	:	:	PUNCT
iajs-3140	209	12	0.001	0.001	NUM
iajs-3140	209	13	,	,	PUNCT
iajs-3140	209	14	0.002	0.002	NUM
iajs-3140	209	15	,	,	PUNCT
iajs-3140	209	16	and	and	CCONJ
iajs-3140	209	17	0.003	0.003	NUM
iajs-3140	209	18	m	m	NOUN
iajs-3140	209	19	,	,	PUNCT
iajs-3140	209	20	respectively	respectively	ADV
iajs-3140	209	21	.	.	PUNCT
iajs-3140	210	1	fig	fig	NOUN
iajs-3140	210	2	.	.	PUNCT
iajs-3140	211	1	3	3	NUM
iajs-3140	211	2	shows	show	VERB
iajs-3140	211	3	the	the	DET
iajs-3140	211	4	analytical	analytical	ADJ
iajs-3140	211	5	results	result	NOUN
iajs-3140	211	6	of	of	ADP
iajs-3140	211	7	the	the	DET
iajs-3140	211	8	principal	principal	ADJ
iajs-3140	211	9	natural	natural	ADJ
iajs-3140	211	10	frequencies	frequency	NOUN
iajs-3140	211	11	at	at	ADP
iajs-3140	211	12	various	various	ADJ
iajs-3140	211	13	given	give	VERB
iajs-3140	211	14	lengths	length	NOUN
iajs-3140	211	15	.	.	PUNCT
iajs-3140	212	1	the	the	DET
iajs-3140	212	2	experimental	experimental	ADJ
iajs-3140	212	3	findings	finding	NOUN
iajs-3140	212	4	in	in	ADP
iajs-3140	212	5	ref.[20	ref.[20	X
iajs-3140	212	6	]	]	PUNCT
iajs-3140	212	7	related	relate	VERB
iajs-3140	212	8	to	to	ADP
iajs-3140	212	9	measuring	measure	VERB
iajs-3140	212	10	the	the	DET
iajs-3140	212	11	fundamental	fundamental	ADJ
iajs-3140	212	12	natural	natural	ADJ
iajs-3140	212	13	frequency	frequency	NOUN
iajs-3140	212	14	for	for	ADP
iajs-3140	212	15	the	the	DET
iajs-3140	212	16	cantilever	cantilever	NOUN
iajs-3140	212	17	beam	beam	NOUN
iajs-3140	212	18	at	at	ADP
iajs-3140	212	19	different	different	ADJ
iajs-3140	212	20	lengths	length	NOUN
iajs-3140	212	21	is	be	AUX
iajs-3140	212	22	provided	provide	VERB
iajs-3140	212	23	here	here	ADV
iajs-3140	212	24	to	to	PART
iajs-3140	212	25	make	make	VERB
iajs-3140	212	26	a	a	DET
iajs-3140	212	27	fair	fair	ADJ
iajs-3140	212	28	comparison	comparison	NOUN
iajs-3140	212	29	.	.	PUNCT
iajs-3140	213	1	the	the	DET
iajs-3140	213	2	same	same	ADJ
iajs-3140	213	3	different	different	ADJ
iajs-3140	213	4	lengths	length	NOUN
iajs-3140	213	5	used	use	VERB
iajs-3140	213	6	in	in	ADP
iajs-3140	213	7	ref	ref	NOUN
iajs-3140	213	8	.	.	PUNCT
iajs-3140	214	1	[	[	X
iajs-3140	214	2	20]are	20]are	NUM
iajs-3140	214	3	replaced	replace	VERB
iajs-3140	214	4	in	in	ADP
iajs-3140	214	5	the	the	DET
iajs-3140	214	6	analytical	analytical	ADJ
iajs-3140	214	7	solutions	solution	NOUN
iajs-3140	214	8	to	to	PART
iajs-3140	214	9	perform	perform	VERB
iajs-3140	214	10	a	a	DET
iajs-3140	214	11	fair	fair	ADJ
iajs-3140	214	12	comparison	comparison	NOUN
iajs-3140	214	13	.	.	PUNCT
iajs-3140	215	1	the	the	DET
iajs-3140	215	2	figure	figure	NOUN
iajs-3140	215	3	reveals	reveal	VERB
iajs-3140	215	4	a	a	DET
iajs-3140	215	5	good	good	ADJ
iajs-3140	215	6	match	match	NOUN
iajs-3140	215	7	between	between	ADP
iajs-3140	215	8	experimental	experimental	ADJ
iajs-3140	215	9	and	and	CCONJ
iajs-3140	215	10	analytical	analytical	ADJ
iajs-3140	215	11	solutions	solution	NOUN
iajs-3140	215	12	.	.	PUNCT
iajs-3140	216	1	the	the	DET
iajs-3140	216	2	figure	figure	NOUN
iajs-3140	216	3	indicates	indicate	VERB
iajs-3140	216	4	that	that	SCONJ
iajs-3140	216	5	the	the	DET
iajs-3140	216	6	fundamental	fundamental	ADJ
iajs-3140	216	7	natural	natural	ADJ
iajs-3140	216	8	frequency	frequency	NOUN
iajs-3140	216	9	decreases	decrease	VERB
iajs-3140	216	10	with	with	ADP
iajs-3140	216	11	increasing	increase	VERB
iajs-3140	216	12	beam	beam	NOUN
iajs-3140	216	13	length	length	NOUN
iajs-3140	216	14	.	.	PUNCT
iajs-3140	217	1	if	if	SCONJ
iajs-3140	217	2	the	the	DET
iajs-3140	217	3	statistical	statistical	ADJ
iajs-3140	217	4	analysis	analysis	NOUN
iajs-3140	217	5	for	for	ADP
iajs-3140	217	6	percentage	percentage	NOUN
iajs-3140	217	7	errors	error	NOUN
iajs-3140	217	8	between	between	ADP
iajs-3140	217	9	analytical	analytical	ADJ
iajs-3140	217	10	and	and	CCONJ
iajs-3140	217	11	experimental	experimental	ADJ
iajs-3140	217	12	findings	finding	NOUN
iajs-3140	217	13	is	be	AUX
iajs-3140	217	14	applied	apply	VERB
iajs-3140	217	15	in	in	ADP
iajs-3140	217	16	terms	term	NOUN
iajs-3140	217	17	of	of	ADP
iajs-3140	217	18	mean	mean	ADJ
iajs-3140	217	19	,	,	PUNCT
iajs-3140	217	20	standard	standard	ADJ
iajs-3140	217	21	deviation	deviation	NOUN
iajs-3140	217	22	,	,	PUNCT
iajs-3140	217	23	max	max	PROPN
iajs-3140	217	24	,	,	PUNCT
iajs-3140	217	25	and	and	CCONJ
iajs-3140	217	26	min	min	NOUN
iajs-3140	217	27	,	,	PUNCT
iajs-3140	217	28	we	we	PRON
iajs-3140	217	29	get	get	VERB
iajs-3140	217	30	0.653	0.653	NUM
iajs-3140	217	31	,	,	PUNCT
iajs-3140	217	32	±0.093	±0.093	ADJ
iajs-3140	217	33	,	,	PUNCT
iajs-3140	217	34	0.79	0.79	NUM
iajs-3140	217	35	,	,	PUNCT
iajs-3140	217	36	and	and	CCONJ
iajs-3140	217	37	0.54	0.54	NUM
iajs-3140	217	38	,	,	PUNCT
iajs-3140	217	39	respectively	respectively	ADV
iajs-3140	217	40	.	.	PUNCT
iajs-3140	218	1	the	the	DET
iajs-3140	218	2	general	general	ADJ
iajs-3140	218	3	trend	trend	NOUN
iajs-3140	218	4	of	of	ADP
iajs-3140	218	5	these	these	DET
iajs-3140	218	6	figures	figure	NOUN
iajs-3140	218	7	illustrates	illustrate	VERB
iajs-3140	218	8	that	that	SCONJ
iajs-3140	218	9	at	at	ADP
iajs-3140	218	10	any	any	DET
iajs-3140	218	11	aspect	aspect	NOUN
iajs-3140	218	12	ratio	ratio	NOUN
iajs-3140	218	13	or	or	CCONJ
iajs-3140	218	14	thickness	thickness	NOUN
iajs-3140	218	15	,	,	PUNCT
iajs-3140	218	16	the	the	DET
iajs-3140	218	17	values	value	NOUN
iajs-3140	218	18	of	of	ADP
iajs-3140	218	19	fundamental	fundamental	ADJ
iajs-3140	218	20	natural	natural	ADJ
iajs-3140	218	21	frequency	frequency	NOUN
iajs-3140	218	22	decrease	decrease	NOUN
iajs-3140	218	23	with	with	ADP
iajs-3140	218	24	increasing	increase	VERB
iajs-3140	218	25	temperature	temperature	NOUN
iajs-3140	218	26	.	.	PUNCT
iajs-3140	219	1	also	also	ADV
iajs-3140	219	2	,	,	PUNCT
iajs-3140	219	3	increasing	increase	VERB
iajs-3140	219	4	the	the	DET
iajs-3140	219	5	aspect	aspect	NOUN
iajs-3140	219	6	ratio	ratio	NOUN
iajs-3140	219	7	,	,	PUNCT
iajs-3140	219	8	particularly	particularly	ADV
iajs-3140	219	9	at	at	ADP
iajs-3140	219	10	2.5	2.5	NUM
iajs-3140	219	11	,	,	PUNCT
iajs-3140	219	12	led	lead	VERB
iajs-3140	219	13	to	to	ADP
iajs-3140	219	14	a	a	DET
iajs-3140	219	15	reduction	reduction	NOUN
iajs-3140	219	16	in	in	ADP
iajs-3140	219	17	the	the	DET
iajs-3140	219	18	natural	natural	ADJ
iajs-3140	219	19	frequency	frequency	NOUN
iajs-3140	219	20	but	but	CCONJ
iajs-3140	219	21	less	less	ADJ
iajs-3140	219	22	extent	extent	NOUN
iajs-3140	219	23	compared	compare	VERB
iajs-3140	219	24	to	to	ADP
iajs-3140	219	25	temperature	temperature	NOUN
iajs-3140	219	26	.	.	PUNCT
iajs-3140	220	1	the	the	DET
iajs-3140	220	2	significant	significant	ADJ
iajs-3140	220	3	impact	impact	NOUN
iajs-3140	220	4	on	on	ADP
iajs-3140	220	5	the	the	DET
iajs-3140	220	6	natural	natural	ADJ
iajs-3140	220	7	frequency	frequency	NOUN
iajs-3140	220	8	is	be	AUX
iajs-3140	220	9	attributed	attribute	VERB
iajs-3140	220	10	to	to	ADP
iajs-3140	220	11	the	the	DET
iajs-3140	220	12	beam	beam	NOUN
iajs-3140	220	13	thickness	thickness	NOUN
iajs-3140	220	14	,	,	PUNCT
iajs-3140	220	15	as	as	ADP
iajs-3140	220	16	fig.s	fig.s	X
iajs-3140	220	17	4	4	NUM
iajs-3140	220	18	-	-	SYM
iajs-3140	220	19	6	6	NUM
iajs-3140	220	20	reveal	reveal	NOUN
iajs-3140	220	21	.	.	PUNCT
iajs-3140	221	1	for	for	ADP
iajs-3140	221	2	example	example	NOUN
iajs-3140	221	3	,	,	PUNCT
iajs-3140	221	4	the	the	DET
iajs-3140	221	5	range	range	NOUN
iajs-3140	221	6	of	of	ADP
iajs-3140	221	7	natural	natural	ADJ
iajs-3140	221	8	frequency	frequency	NOUN
iajs-3140	221	9	(	(	PUNCT
iajs-3140	221	10	min	min	NOUN
iajs-3140	221	11	-	-	PUNCT
iajs-3140	221	12	max	max	NOUN
iajs-3140	221	13	)	)	PUNCT
iajs-3140	221	14	over	over	ADP
iajs-3140	221	15	the	the	DET
iajs-3140	221	16	limits	limit	NOUN
iajs-3140	221	17	of	of	ADP
iajs-3140	221	18	temperature	temperature	NOUN
iajs-3140	221	19	(	(	PUNCT
iajs-3140	221	20	-100	-100	NUM
iajs-3140	221	21	-	-	PUNCT
iajs-3140	221	22	400	400	NUM
iajs-3140	221	23	℃	℃	PROPN
iajs-3140	221	24	)	)	PUNCT
iajs-3140	221	25	and	and	CCONJ
iajs-3140	221	26	aspect	aspect	VERB
iajs-3140	221	27	ratio	ratio	NOUN
iajs-3140	221	28	(	(	PUNCT
iajs-3140	221	29	0.4	0.4	NUM
iajs-3140	221	30	-	-	SYM
iajs-3140	221	31	2.5	2.5	NUM
iajs-3140	221	32	)	)	PUNCT
iajs-3140	221	33	for	for	ADP
iajs-3140	221	34	the	the	DET
iajs-3140	221	35	three	three	NUM
iajs-3140	221	36	thicknesses	thickness	NOUN
iajs-3140	221	37	is	be	AUX
iajs-3140	221	38	found	find	VERB
iajs-3140	221	39	to	to	PART
iajs-3140	221	40	be	be	AUX
iajs-3140	221	41	:	:	PUNCT
iajs-3140	221	42	(	(	PUNCT
iajs-3140	221	43	76.2956	76.2956	NUM
iajs-3140	221	44	-	-	PUNCT
iajs-3140	221	45	84.6124	84.6124	NUM
iajs-3140	221	46	hz	hz	NOUN
iajs-3140	221	47	)	)	PUNCT
iajs-3140	221	48	;	;	PUNCT
iajs-3140	221	49	(	(	PUNCT
iajs-3140	221	50	152.5911	152.5911	NUM
iajs-3140	221	51	-	-	SYM
iajs-3140	221	52	169.2247hz	169.2247hz	NUM
iajs-3140	221	53	)	)	PUNCT
iajs-3140	221	54	;	;	PUNCT
iajs-3140	221	55	and	and	CCONJ
iajs-3140	221	56	(	(	PUNCT
iajs-3140	221	57	228.8867	228.8867	NUM
iajs-3140	221	58	-	-	SYM
iajs-3140	221	59	253.8371	253.8371	NUM
iajs-3140	221	60	hz	hz	NOUN
iajs-3140	221	61	)	)	PUNCT
iajs-3140	221	62	respectively	respectively	ADV
iajs-3140	221	63	.	.	PUNCT
iajs-3140	222	1	in	in	ADP
iajs-3140	222	2	other	other	ADJ
iajs-3140	222	3	words	word	NOUN
iajs-3140	222	4	,	,	PUNCT
iajs-3140	222	5	the	the	DET
iajs-3140	222	6	fundamental	fundamental	ADJ
iajs-3140	222	7	natural	natural	ADJ
iajs-3140	222	8	frequency	frequency	NOUN
iajs-3140	222	9	was	be	AUX
iajs-3140	222	10	strongly	strongly	ADV
iajs-3140	222	11	influenced	influence	VERB
iajs-3140	222	12	by	by	ADP
iajs-3140	222	13	the	the	DET
iajs-3140	222	14	beam	beam	NOUN
iajs-3140	222	15	thickness	thickness	NOUN
iajs-3140	222	16	compared	compare	VERB
iajs-3140	222	17	with	with	ADP
iajs-3140	222	18	temperature	temperature	NOUN
iajs-3140	222	19	and	and	CCONJ
iajs-3140	222	20	aspect	aspect	VERB
iajs-3140	222	21	ratio.the	ratio.the	DET
iajs-3140	222	22	effect	effect	NOUN
iajs-3140	222	23	of	of	ADP
iajs-3140	222	24	aspect	aspect	NOUN
iajs-3140	222	25	ratio	ratio	NOUN
iajs-3140	222	26	,	,	PUNCT
iajs-3140	222	27	thickness	thickness	NOUN
iajs-3140	222	28	,	,	PUNCT
iajs-3140	222	29	and	and	CCONJ
iajs-3140	222	30	temperature	temperature	NOUN
iajs-3140	222	31	on	on	ADP
iajs-3140	222	32	the	the	DET
iajs-3140	222	33	fundamental	fundamental	ADJ
iajs-3140	222	34	natural	natural	ADJ
iajs-3140	222	35	frequency	frequency	NOUN
iajs-3140	222	36	is	be	AUX
iajs-3140	222	37	also	also	ADV
iajs-3140	222	38	presented	present	VERB
iajs-3140	222	39	,	,	PUNCT
iajs-3140	222	40	as	as	ADP
iajs-3140	222	41	fig.s	fig.s	X
iajs-3140	222	42	4	4	NUM
iajs-3140	222	43	-	-	SYM
iajs-3140	222	44	6	6	NUM
iajs-3140	222	45	depict	depict	NOUN
iajs-3140	222	46	.	.	PUNCT
iajs-3140	223	1	the	the	DET
iajs-3140	223	2	beam	beam	NOUN
iajs-3140	223	3	length	length	NOUN
iajs-3140	223	4	for	for	ADP
iajs-3140	223	5	the	the	DET
iajs-3140	223	6	cases	case	NOUN
iajs-3140	223	7	in	in	ADP
iajs-3140	223	8	fig.s	fig.s	PROPN
iajs-3140	223	9	4	4	NUM
iajs-3140	223	10	-	-	SYM
iajs-3140	223	11	6	6	NUM
iajs-3140	223	12	is	be	AUX
iajs-3140	223	13	taken	take	VERB
iajs-3140	223	14	at	at	ADP
iajs-3140	223	15	0.1	0.1	NUM
iajs-3140	223	16	m	m	NOUN
iajs-3140	223	17	,	,	PUNCT
iajs-3140	223	18	and	and	CCONJ
iajs-3140	223	19	the	the	DET
iajs-3140	223	20	width	width	NOUN
iajs-3140	223	21	is	be	AUX
iajs-3140	223	22	changeable	changeable	ADJ
iajs-3140	223	23	to	to	PART
iajs-3140	223	24	give	give	VERB
iajs-3140	223	25	different	different	ADJ
iajs-3140	223	26	aspect	aspect	NOUN
iajs-3140	223	27	ratios	ratio	NOUN
iajs-3140	223	28	.	.	PUNCT
iajs-3140	224	1	ihjpas	ihjpas	PROPN
iajs-3140	224	2	.	.	PUNCT
iajs-3140	225	1	36	36	NUM
iajs-3140	225	2	(	(	PUNCT
iajs-3140	225	3	4	4	NUM
iajs-3140	225	4	)	)	PUNCT
iajs-3140	225	5	2023	2023	NUM
iajs-3140	225	6	440	440	NUM
iajs-3140	225	7	figure3.comparison	figure3.comparison	NOUN
iajs-3140	225	8	between	between	ADP
iajs-3140	225	9	analytical	analytical	ADJ
iajs-3140	225	10	and	and	CCONJ
iajs-3140	225	11	experimental	experimental	ADJ
iajs-3140	225	12	results	result	NOUN
iajs-3140	225	13	of	of	ADP
iajs-3140	225	14	the	the	DET
iajs-3140	225	15	natural	natural	ADJ
iajs-3140	225	16	frequency	frequency	NOUN
iajs-3140	225	17	for	for	ADP
iajs-3140	225	18	different	different	ADJ
iajs-3140	225	19	beam	beam	NOUN
iajs-3140	225	20	lengths	length	NOUN
iajs-3140	225	21	figure	figure	VERB
iajs-3140	225	22	4	4	NUM
iajs-3140	225	23	.	.	PUNCT
iajs-3140	225	24	effect	effect	NOUN
iajs-3140	225	25	of	of	ADP
iajs-3140	225	26	temperature	temperature	NOUN
iajs-3140	225	27	(	(	PUNCT
iajs-3140	225	28	℃	℃	PROPN
iajs-3140	225	29	)	)	PUNCT
iajs-3140	225	30	and	and	CCONJ
iajs-3140	225	31	aspect	aspect	VERB
iajs-3140	225	32	ratio	ratio	NOUN
iajs-3140	225	33	on	on	ADP
iajs-3140	225	34	the	the	DET
iajs-3140	225	35	fundamental	fundamental	ADJ
iajs-3140	225	36	natural	natural	ADJ
iajs-3140	225	37	frequency	frequency	NOUN
iajs-3140	225	38	(	(	PUNCT
iajs-3140	225	39	hz	hz	PROPN
iajs-3140	225	40	)	)	PUNCT
iajs-3140	225	41	for	for	ADP
iajs-3140	225	42	the	the	DET
iajs-3140	225	43	0.001	0.001	NUM
iajs-3140	225	44	m	m	NOUN
iajs-3140	225	45	thickness	thickness	NOUN
iajs-3140	225	46	beam	beam	NOUN
iajs-3140	225	47	0	0	NUM
iajs-3140	225	48	1000	1000	NUM
iajs-3140	225	49	2000	2000	NUM
iajs-3140	225	50	3000	3000	NUM
iajs-3140	225	51	4000	4000	NUM
iajs-3140	225	52	5000	5000	NUM
iajs-3140	225	53	6000	6000	NUM
iajs-3140	225	54	7000	7000	NUM
iajs-3140	225	55	8000	8000	NUM
iajs-3140	225	56	9000	9000	NUM
iajs-3140	225	57	10000	10000	NUM
iajs-3140	225	58	0.03175	0.03175	NUM
iajs-3140	225	59	0.0353	0.0353	NUM
iajs-3140	225	60	0.0397	0.0397	NUM
iajs-3140	225	61	0.0454	0.0454	NUM
iajs-3140	225	62	0.0529	0.0529	NUM
iajs-3140	225	63	0.0635	0.0635	NUM
iajs-3140	225	64	fu	fu	NOUN
iajs-3140	225	65	n	n	PROPN
iajs-3140	225	66	d	d	NOUN
iajs-3140	225	67	am	be	AUX
iajs-3140	225	68	e	e	NOUN
iajs-3140	225	69	n	n	X
iajs-3140	225	70	ta	ta	ADP
iajs-3140	225	71	l	l	NOUN
iajs-3140	225	72	n	n	PROPN
iajs-3140	225	73	at	at	ADP
iajs-3140	225	74	u	u	PROPN
iajs-3140	225	75	ra	ra	PROPN
iajs-3140	225	76	l	l	NOUN
iajs-3140	225	77	f	f	X
iajs-3140	225	78	re	re	PRON
iajs-3140	225	79	q	q	X
iajs-3140	225	80	u	u	X
iajs-3140	225	81	e	e	PROPN
iajs-3140	225	82	n	n	PROPN
iajs-3140	225	83	cy	cy	PROPN
iajs-3140	225	84	(	(	PUNCT
iajs-3140	225	85	h	h	NOUN
iajs-3140	225	86	z	z	NOUN
iajs-3140	225	87	)	)	PUNCT
iajs-3140	225	88	length	length	NOUN
iajs-3140	225	89	(	(	PUNCT
iajs-3140	225	90	m	m	NOUN
iajs-3140	225	91	)	)	PUNCT
iajs-3140	225	92	analytical	analytical	ADJ
iajs-3140	225	93	model	model	NOUN
iajs-3140	225	94	ref(18	ref(18	PROPN
iajs-3140	225	95	)	)	PUNCT
iajs-3140	225	96	76	76	NUM
iajs-3140	225	97	77	77	NUM
iajs-3140	225	98	78	78	NUM
iajs-3140	225	99	79	79	NUM
iajs-3140	225	100	80	80	NUM
iajs-3140	225	101	81	81	NUM
iajs-3140	225	102	82	82	NUM
iajs-3140	225	103	83	83	NUM
iajs-3140	225	104	84	84	NUM
iajs-3140	225	105	85	85	NUM
iajs-3140	225	106	-100	-100	NUM
iajs-3140	225	107	25	25	NUM
iajs-3140	225	108	100	100	NUM
iajs-3140	225	109	200	200	NUM
iajs-3140	225	110	300	300	NUM
iajs-3140	225	111	400	400	NUM
iajs-3140	225	112	fu	fu	NOUN
iajs-3140	226	1	n	n	NOUN
iajs-3140	226	2	d	d	NOUN
iajs-3140	226	3	am	be	AUX
iajs-3140	226	4	en	en	ADP
iajs-3140	226	5	ta	ta	ADP
iajs-3140	226	6	l	l	NOUN
iajs-3140	226	7	n	n	PROPN
iajs-3140	226	8	at	at	ADP
iajs-3140	226	9	u	u	PROPN
iajs-3140	226	10	ra	ra	PROPN
iajs-3140	226	11	l	l	NOUN
iajs-3140	226	12	f	f	X
iajs-3140	226	13	re	re	ADJ
iajs-3140	226	14	q	q	PROPN
iajs-3140	226	15	u	u	PROPN
iajs-3140	226	16	en	en	PROPN
iajs-3140	226	17	cy	cy	PROPN
iajs-3140	226	18	(	(	PUNCT
iajs-3140	226	19	h	h	NOUN
iajs-3140	226	20	z	z	NOUN
iajs-3140	226	21	)	)	PUNCT
iajs-3140	226	22	temperature	temperature	NOUN
iajs-3140	226	23	℃	℃	PROPN
iajs-3140	226	24	t=0.001	t=0.001	X
iajs-3140	226	25	m	m	VERB
iajs-3140	226	26	0.4	0.4	NUM
iajs-3140	226	27	2/3	2/3	NUM
iajs-3140	226	28	1	1	NUM
iajs-3140	226	29	1.5	1.5	NUM
iajs-3140	226	30	2.5	2.5	NUM
iajs-3140	226	31	ihjpas	ihjpa	NOUN
iajs-3140	226	32	.	.	PUNCT
iajs-3140	227	1	36	36	NUM
iajs-3140	227	2	(	(	PUNCT
iajs-3140	227	3	4	4	NUM
iajs-3140	227	4	)	)	PUNCT
iajs-3140	227	5	2023	2023	NUM
iajs-3140	227	6	441	441	NUM
iajs-3140	227	7	figure	figure	NOUN
iajs-3140	227	8	5	5	NUM
iajs-3140	227	9	.	.	PUNCT
iajs-3140	227	10	effect	effect	NOUN
iajs-3140	227	11	of	of	ADP
iajs-3140	227	12	temperature	temperature	NOUN
iajs-3140	227	13	(	(	PUNCT
iajs-3140	227	14	℃	℃	PROPN
iajs-3140	227	15	)	)	PUNCT
iajs-3140	227	16	and	and	CCONJ
iajs-3140	227	17	aspect	aspect	VERB
iajs-3140	227	18	ratio	ratio	NOUN
iajs-3140	227	19	on	on	ADP
iajs-3140	227	20	the	the	DET
iajs-3140	227	21	fundamental	fundamental	ADJ
iajs-3140	227	22	natural	natural	ADJ
iajs-3140	227	23	frequency	frequency	NOUN
iajs-3140	227	24	(	(	PUNCT
iajs-3140	227	25	hz	hz	PROPN
iajs-3140	227	26	)	)	PUNCT
iajs-3140	227	27	for	for	ADP
iajs-3140	227	28	the	the	DET
iajs-3140	227	29	0.002	0.002	NUM
iajs-3140	227	30	m	m	PROPN
iajs-3140	227	31	thickness	thickness	NOUN
iajs-3140	227	32	beam	beam	NOUN
iajs-3140	227	33	figure	figure	NOUN
iajs-3140	227	34	6	6	NUM
iajs-3140	227	35	.	.	PUNCT
iajs-3140	227	36	effect	effect	NOUN
iajs-3140	227	37	of	of	ADP
iajs-3140	227	38	temperature	temperature	NOUN
iajs-3140	227	39	(	(	PUNCT
iajs-3140	227	40	℃	℃	PROPN
iajs-3140	227	41	)	)	PUNCT
iajs-3140	227	42	and	and	CCONJ
iajs-3140	227	43	aspect	aspect	VERB
iajs-3140	227	44	ratio	ratio	NOUN
iajs-3140	227	45	on	on	ADP
iajs-3140	227	46	the	the	DET
iajs-3140	227	47	fundamental	fundamental	ADJ
iajs-3140	227	48	natural	natural	ADJ
iajs-3140	227	49	frequency	frequency	NOUN
iajs-3140	227	50	(	(	PUNCT
iajs-3140	227	51	hz	hz	PROPN
iajs-3140	227	52	)	)	PUNCT
iajs-3140	227	53	for	for	ADP
iajs-3140	227	54	the	the	DET
iajs-3140	227	55	0.003	0.003	NUM
iajs-3140	227	56	m	m	NOUN
iajs-3140	227	57	thickness	thickness	NOUN
iajs-3140	227	58	beam	beam	NOUN
iajs-3140	227	59	4	4	NUM
iajs-3140	227	60	.	.	PUNCT
iajs-3140	228	1	conclusions	conclusion	NOUN
iajs-3140	228	2	this	this	DET
iajs-3140	228	3	study	study	NOUN
iajs-3140	228	4	proposed	propose	VERB
iajs-3140	228	5	an	an	DET
iajs-3140	228	6	analytical	analytical	ADJ
iajs-3140	228	7	solution	solution	NOUN
iajs-3140	228	8	for	for	ADP
iajs-3140	228	9	free	free	ADJ
iajs-3140	228	10	vibration	vibration	NOUN
iajs-3140	228	11	analysis	analysis	NOUN
iajs-3140	228	12	of	of	ADP
iajs-3140	228	13	cantilever	cantilever	NOUN
iajs-3140	228	14	beam	beam	NOUN
iajs-3140	228	15	.	.	PUNCT
iajs-3140	229	1	the	the	DET
iajs-3140	229	2	mathematical	mathematical	ADJ
iajs-3140	229	3	model	model	NOUN
iajs-3140	229	4	was	be	AUX
iajs-3140	229	5	verified	verify	VERB
iajs-3140	229	6	with	with	ADP
iajs-3140	229	7	experimental	experimental	ADJ
iajs-3140	229	8	findings	finding	NOUN
iajs-3140	229	9	that	that	PRON
iajs-3140	229	10	measured	measure	VERB
iajs-3140	229	11	fundamental	fundamental	ADJ
iajs-3140	229	12	natural	natural	ADJ
iajs-3140	229	13	frequency	frequency	NOUN
iajs-3140	229	14	experimentally	experimentally	ADV
iajs-3140	229	15	.	.	PUNCT
iajs-3140	230	1	further	far	ADV
iajs-3140	230	2	,	,	PUNCT
iajs-3140	230	3	the	the	DET
iajs-3140	230	4	author	author	NOUN
iajs-3140	230	5	also	also	ADV
iajs-3140	230	6	studied	study	VERB
iajs-3140	230	7	the	the	DET
iajs-3140	230	8	influence	influence	NOUN
iajs-3140	230	9	of	of	ADP
iajs-3140	230	10	temperature	temperature	NOUN
iajs-3140	230	11	and	and	CCONJ
iajs-3140	230	12	geometrician	geometrician	ADJ
iajs-3140	230	13	factors	factor	NOUN
iajs-3140	230	14	represented	represent	VERB
iajs-3140	230	15	by	by	ADP
iajs-3140	230	16	aspect	aspect	NOUN
iajs-3140	230	17	ratio	ratio	NOUN
iajs-3140	230	18	and	and	CCONJ
iajs-3140	230	19	thickness	thickness	NOUN
iajs-3140	230	20	on	on	ADP
iajs-3140	230	21	the	the	DET
iajs-3140	230	22	fundamental	fundamental	ADJ
iajs-3140	230	23	natural	natural	ADJ
iajs-3140	230	24	frequency	frequency	NOUN
iajs-3140	230	25	.	.	PUNCT
iajs-3140	231	1	based	base	VERB
iajs-3140	231	2	on	on	ADP
iajs-3140	231	3	the	the	DET
iajs-3140	231	4	obtained	obtain	VERB
iajs-3140	231	5	findings	finding	NOUN
iajs-3140	231	6	,	,	PUNCT
iajs-3140	231	7	the	the	DET
iajs-3140	231	8	following	follow	VERB
iajs-3140	231	9	conclusions	conclusion	NOUN
iajs-3140	231	10	can	can	AUX
iajs-3140	231	11	be	be	AUX
iajs-3140	231	12	picked	pick	VERB
iajs-3140	231	13	up	up	ADP
iajs-3140	231	14	:	:	PUNCT
iajs-3140	231	15	1	1	X
iajs-3140	231	16	.	.	PUNCT
iajs-3140	232	1	the	the	DET
iajs-3140	232	2	developed	develop	VERB
iajs-3140	232	3	analytical	analytical	ADJ
iajs-3140	232	4	solution	solution	NOUN
iajs-3140	232	5	successfully	successfully	ADV
iajs-3140	232	6	determined	determine	VERB
iajs-3140	232	7	the	the	DET
iajs-3140	232	8	fundamental	fundamental	ADJ
iajs-3140	232	9	natural	natural	ADJ
iajs-3140	232	10	frequency	frequency	NOUN
iajs-3140	232	11	and	and	CCONJ
iajs-3140	232	12	verified	verify	VERB
iajs-3140	232	13	it	it	PRON
iajs-3140	232	14	with	with	ADP
iajs-3140	232	15	actual	actual	ADJ
iajs-3140	232	16	experiments	experiment	NOUN
iajs-3140	232	17	with	with	ADP
iajs-3140	232	18	a	a	DET
iajs-3140	232	19	percentage	percentage	NOUN
iajs-3140	232	20	error	error	NOUN
iajs-3140	232	21	of	of	ADP
iajs-3140	232	22	no	no	DET
iajs-3140	232	23	more	more	ADJ
iajs-3140	232	24	than	than	ADP
iajs-3140	232	25	0.79	0.79	NUM
iajs-3140	232	26	.	.	NOUN
iajs-3140	233	1	2	2	NUM
iajs-3140	233	2	.	.	X
iajs-3140	233	3	the	the	DET
iajs-3140	233	4	beam	beam	NOUN
iajs-3140	233	5	thickness	thickness	NOUN
iajs-3140	233	6	greatly	greatly	ADV
iajs-3140	233	7	influenced	influence	VERB
iajs-3140	233	8	the	the	DET
iajs-3140	233	9	calculated	calculated	ADJ
iajs-3140	233	10	natural	natural	ADJ
iajs-3140	233	11	frequency	frequency	NOUN
iajs-3140	233	12	,	,	PUNCT
iajs-3140	233	13	followed	follow	VERB
iajs-3140	233	14	by	by	ADP
iajs-3140	233	15	temperature	temperature	NOUN
iajs-3140	233	16	and	and	CCONJ
iajs-3140	233	17	aspect	aspect	NOUN
iajs-3140	233	18	ratio	ratio	NOUN
iajs-3140	233	19	.	.	PUNCT
iajs-3140	234	1	3	3	X
iajs-3140	234	2	.	.	X
iajs-3140	234	3	the	the	DET
iajs-3140	234	4	calculated	calculate	VERB
iajs-3140	234	5	natural	natural	ADJ
iajs-3140	234	6	frequency	frequency	NOUN
iajs-3140	234	7	recorded	record	VERB
iajs-3140	234	8	high	high	ADJ
iajs-3140	234	9	increases	increase	NOUN
iajs-3140	234	10	with	with	ADP
iajs-3140	234	11	increasing	increase	VERB
iajs-3140	234	12	beam	beam	NOUN
iajs-3140	234	13	thickness	thickness	NOUN
iajs-3140	234	14	while	while	SCONJ
iajs-3140	234	15	slightly	slightly	ADV
iajs-3140	234	16	decreasing	decrease	VERB
iajs-3140	234	17	with	with	ADP
iajs-3140	234	18	increasing	increase	VERB
iajs-3140	234	19	temperature	temperature	NOUN
iajs-3140	234	20	and	and	CCONJ
iajs-3140	234	21	aspect	aspect	NOUN
iajs-3140	234	22	ratio	ratio	NOUN
iajs-3140	234	23	.	.	PUNCT
iajs-3140	235	1	152	152	NUM
iajs-3140	235	2	154	154	NUM
iajs-3140	235	3	156	156	NUM
iajs-3140	235	4	158	158	NUM
iajs-3140	235	5	160	160	NUM
iajs-3140	235	6	162	162	NUM
iajs-3140	235	7	164	164	NUM
iajs-3140	235	8	166	166	NUM
iajs-3140	235	9	168	168	NUM
iajs-3140	235	10	170	170	NUM
iajs-3140	235	11	-100	-100	NUM
iajs-3140	235	12	25	25	NUM
iajs-3140	235	13	100	100	NUM
iajs-3140	235	14	200	200	NUM
iajs-3140	235	15	300	300	NUM
iajs-3140	235	16	400	400	NUM
iajs-3140	235	17	fu	fu	NOUN
iajs-3140	236	1	n	n	NOUN
iajs-3140	236	2	d	d	NOUN
iajs-3140	236	3	am	be	AUX
iajs-3140	236	4	en	en	ADP
iajs-3140	236	5	ta	ta	ADP
iajs-3140	236	6	l	l	NOUN
iajs-3140	236	7	n	n	PROPN
iajs-3140	236	8	at	at	ADP
iajs-3140	236	9	u	u	PROPN
iajs-3140	236	10	ra	ra	PROPN
iajs-3140	236	11	l	l	NOUN
iajs-3140	236	12	f	f	X
iajs-3140	236	13	re	re	ADJ
iajs-3140	236	14	q	q	PROPN
iajs-3140	236	15	u	u	PROPN
iajs-3140	236	16	en	en	PROPN
iajs-3140	236	17	cy	cy	PROPN
iajs-3140	236	18	(	(	PUNCT
iajs-3140	236	19	h	h	NOUN
iajs-3140	236	20	z	z	NOUN
iajs-3140	236	21	)	)	PUNCT
iajs-3140	236	22	temperature	temperature	NOUN
iajs-3140	236	23	℃	℃	PROPN
iajs-3140	236	24	t=0.002	t=0.002	X
iajs-3140	236	25	m	m	VERB
iajs-3140	236	26	0.4	0.4	NUM
iajs-3140	236	27	2/3	2/3	NUM
iajs-3140	236	28	1	1	NUM
iajs-3140	236	29	1.5	1.5	NUM
iajs-3140	236	30	2.5	2.5	NUM
iajs-3140	236	31	225	225	NUM
iajs-3140	236	32	230	230	NUM
iajs-3140	236	33	235	235	NUM
iajs-3140	236	34	240	240	NUM
iajs-3140	236	35	245	245	NUM
iajs-3140	236	36	250	250	NUM
iajs-3140	236	37	255	255	NUM
iajs-3140	236	38	1	1	NUM
iajs-3140	236	39	2	2	NUM
iajs-3140	236	40	3	3	NUM
iajs-3140	236	41	4	4	NUM
iajs-3140	236	42	5	5	NUM
iajs-3140	236	43	6	6	NUM
iajs-3140	236	44	fu	fu	NOUN
iajs-3140	237	1	n	n	NOUN
iajs-3140	237	2	d	d	NOUN
iajs-3140	237	3	am	be	AUX
iajs-3140	237	4	en	en	ADP
iajs-3140	237	5	ta	ta	ADP
iajs-3140	237	6	l	l	NOUN
iajs-3140	237	7	n	n	PROPN
iajs-3140	237	8	at	at	ADP
iajs-3140	237	9	u	u	PROPN
iajs-3140	237	10	ra	ra	PROPN
iajs-3140	237	11	l	l	NOUN
iajs-3140	237	12	f	f	X
iajs-3140	237	13	re	re	ADJ
iajs-3140	237	14	q	q	PROPN
iajs-3140	237	15	u	u	PROPN
iajs-3140	237	16	en	en	PROPN
iajs-3140	237	17	cy	cy	PROPN
iajs-3140	237	18	(	(	PUNCT
iajs-3140	237	19	h	h	NOUN
iajs-3140	237	20	z	z	NOUN
iajs-3140	237	21	)	)	PUNCT
iajs-3140	237	22	temperature	temperature	NOUN
iajs-3140	237	23	℃	℃	PROPN
iajs-3140	237	24	t=0.003	t=0.003	VERB
iajs-3140	237	25	m	m	VERB
iajs-3140	237	26	0.4	0.4	NUM
iajs-3140	237	27	2/3	2/3	NUM
iajs-3140	237	28	1	1	NUM
iajs-3140	237	29	1.5	1.5	NUM
iajs-3140	237	30	2.5	2.5	NUM
iajs-3140	237	31	ihjpas	ihjpa	NOUN
iajs-3140	237	32	.	.	PUNCT
iajs-3140	238	1	36	36	NUM
iajs-3140	238	2	(	(	PUNCT
iajs-3140	238	3	4	4	NUM
iajs-3140	238	4	)	)	PUNCT
iajs-3140	238	5	2023	2023	NUM
iajs-3140	238	6	442	442	NUM
iajs-3140	238	7	references	reference	NOUN
iajs-3140	238	8	1	1	NUM
iajs-3140	238	9	.	.	PUNCT
iajs-3140	239	1	akgöz	akgöz	PROPN
iajs-3140	239	2	b	b	PROPN
iajs-3140	239	3	,	,	PUNCT
iajs-3140	239	4	civalek	civalek	PROPN
iajs-3140	239	5	ö.	ö.	PROPN
iajs-3140	239	6	free	free	ADJ
iajs-3140	239	7	vibration	vibration	NOUN
iajs-3140	239	8	analysis	analysis	NOUN
iajs-3140	239	9	of	of	ADP
iajs-3140	239	10	axially	axially	ADV
iajs-3140	239	11	functionally	functionally	ADV
iajs-3140	239	12	graded	grade	VERB
iajs-3140	239	13	tapered	tapered	ADJ
iajs-3140	239	14	bernoulli	bernoulli	PROPN
iajs-3140	239	15	–	–	PUNCT
iajs-3140	239	16	euler	euler	NOUN
iajs-3140	239	17	microbeams	microbeam	NOUN
iajs-3140	239	18	based	base	VERB
iajs-3140	239	19	on	on	ADP
iajs-3140	239	20	the	the	DET
iajs-3140	239	21	modified	modify	VERB
iajs-3140	239	22	couple	couple	NOUN
iajs-3140	239	23	stress	stress	NOUN
iajs-3140	239	24	theory	theory	NOUN
iajs-3140	239	25	.	.	PUNCT
iajs-3140	240	1	composite	composite	ADJ
iajs-3140	240	2	structures	structure	NOUN
iajs-3140	240	3	.	.	PUNCT
iajs-3140	241	1	2013	2013	NUM
iajs-3140	241	2	2013/04/01/;98:314	2013/04/01/;98:314	NUM
iajs-3140	241	3	-	-	SYM
iajs-3140	241	4	22	22	NUM
iajs-3140	241	5	.	.	PUNCT
iajs-3140	242	1	2	2	X
iajs-3140	242	2	.	.	X
iajs-3140	242	3	caliò	caliò	PROPN
iajs-3140	242	4	i	i	PRON
iajs-3140	242	5	,	,	PUNCT
iajs-3140	242	6	elishakoff	elishakoff	PROPN
iajs-3140	242	7	i.	i.	PROPN
iajs-3140	242	8	closed	close	VERB
iajs-3140	242	9	-	-	PUNCT
iajs-3140	242	10	form	form	NOUN
iajs-3140	242	11	solutions	solution	NOUN
iajs-3140	242	12	for	for	ADP
iajs-3140	242	13	axially	axially	ADV
iajs-3140	242	14	graded	grade	VERB
iajs-3140	242	15	beam	beam	NOUN
iajs-3140	242	16	-	-	PUNCT
iajs-3140	242	17	columns	column	NOUN
iajs-3140	242	18	.	.	PUNCT
iajs-3140	243	1	journal	journal	NOUN
iajs-3140	243	2	of	of	ADP
iajs-3140	243	3	sound	sound	NOUN
iajs-3140	243	4	and	and	CCONJ
iajs-3140	243	5	vibration	vibration	NOUN
iajs-3140	243	6	.	.	PUNCT
iajs-3140	244	1	2005	2005	NUM
iajs-3140	244	2	2005/02/23/;280(3):1083	2005/02/23/;280(3):1083	NUM
iajs-3140	244	3	-	-	SYM
iajs-3140	244	4	94	94	NUM
iajs-3140	244	5	.	.	PUNCT
iajs-3140	245	1	3	3	X
iajs-3140	245	2	.	.	X
iajs-3140	245	3	li	li	PROPN
iajs-3140	245	4	xf	xf	PROPN
iajs-3140	245	5	.	.	PROPN
iajs-3140	246	1	a	a	DET
iajs-3140	246	2	unified	unified	ADJ
iajs-3140	246	3	approach	approach	NOUN
iajs-3140	246	4	for	for	ADP
iajs-3140	246	5	analyzing	analyze	VERB
iajs-3140	246	6	static	static	ADJ
iajs-3140	246	7	and	and	CCONJ
iajs-3140	246	8	dynamic	dynamic	ADJ
iajs-3140	246	9	behaviors	behavior	NOUN
iajs-3140	246	10	of	of	ADP
iajs-3140	246	11	functionally	functionally	ADV
iajs-3140	246	12	graded	grade	VERB
iajs-3140	246	13	timoshenko	timoshenko	NOUN
iajs-3140	246	14	and	and	CCONJ
iajs-3140	246	15	euler	euler	PROPN
iajs-3140	246	16	–	–	PUNCT
iajs-3140	246	17	bernoulli	bernoulli	NOUN
iajs-3140	246	18	beams	beam	NOUN
iajs-3140	246	19	.	.	PUNCT
iajs-3140	247	1	journal	journal	NOUN
iajs-3140	247	2	of	of	ADP
iajs-3140	247	3	sound	sound	NOUN
iajs-3140	247	4	and	and	CCONJ
iajs-3140	247	5	vibration	vibration	NOUN
iajs-3140	247	6	.	.	PUNCT
iajs-3140	248	1	2008	2008	NUM
iajs-3140	248	2	2008/12/23/;318(4):1210	2008/12/23/;318(4):1210	NOUN
iajs-3140	248	3	-	-	PUNCT
iajs-3140	248	4	29	29	NUM
iajs-3140	248	5	.	.	PUNCT
iajs-3140	249	1	4	4	X
iajs-3140	249	2	.	.	X
iajs-3140	249	3	singh	singh	PROPN
iajs-3140	249	4	kv	kv	PROPN
iajs-3140	249	5	,	,	PUNCT
iajs-3140	249	6	li	li	PROPN
iajs-3140	249	7	g.	g.	PROPN
iajs-3140	249	8	buckling	buckling	NOUN
iajs-3140	249	9	of	of	ADP
iajs-3140	249	10	functionally	functionally	ADV
iajs-3140	249	11	graded	grade	VERB
iajs-3140	249	12	and	and	CCONJ
iajs-3140	249	13	elastically	elastically	ADV
iajs-3140	249	14	restrained	restrained	ADJ
iajs-3140	249	15	non	non	ADJ
iajs-3140	249	16	-	-	ADJ
iajs-3140	249	17	uniform	uniform	ADJ
iajs-3140	249	18	columns	column	NOUN
iajs-3140	249	19	.	.	PUNCT
iajs-3140	250	1	composites	composite	VERB
iajs-3140	250	2	part	part	NOUN
iajs-3140	250	3	b	b	NOUN
iajs-3140	250	4	:	:	PUNCT
iajs-3140	250	5	engineering	engineering	NOUN
iajs-3140	250	6	.	.	PUNCT
iajs-3140	251	1	2009	2009	NUM
iajs-3140	251	2	2009/07/01/;40(5):393	2009/07/01/;40(5):393	NUM
iajs-3140	251	3	-	-	SYM
iajs-3140	251	4	403	403	NUM
iajs-3140	251	5	.	.	PUNCT
iajs-3140	252	1	5	5	X
iajs-3140	252	2	.	.	PUNCT
iajs-3140	252	3	huang	huang	PROPN
iajs-3140	252	4	y	y	PROPN
iajs-3140	252	5	,	,	PUNCT
iajs-3140	252	6	li	li	PROPN
iajs-3140	252	7	x	x	PROPN
iajs-3140	252	8	-	-	PROPN
iajs-3140	252	9	f.	f.	PROPN
iajs-3140	252	10	a	a	DET
iajs-3140	252	11	new	new	ADJ
iajs-3140	252	12	approach	approach	NOUN
iajs-3140	252	13	for	for	ADP
iajs-3140	252	14	free	free	ADJ
iajs-3140	252	15	vibration	vibration	NOUN
iajs-3140	252	16	of	of	ADP
iajs-3140	252	17	axially	axially	ADV
iajs-3140	252	18	functionally	functionally	ADV
iajs-3140	252	19	graded	grade	VERB
iajs-3140	252	20	beams	beam	NOUN
iajs-3140	252	21	with	with	ADP
iajs-3140	252	22	non	non	ADJ
iajs-3140	252	23	-	-	ADJ
iajs-3140	252	24	uniform	uniform	ADJ
iajs-3140	252	25	cross	cross	NOUN
iajs-3140	252	26	-	-	NOUN
iajs-3140	252	27	section	section	NOUN
iajs-3140	252	28	.	.	PUNCT
iajs-3140	253	1	journal	journal	PROPN
iajs-3140	253	2	of	of	ADP
iajs-3140	253	3	sound	sound	NOUN
iajs-3140	253	4	and	and	CCONJ
iajs-3140	253	5	vibration	vibration	NOUN
iajs-3140	253	6	.	.	PUNCT
iajs-3140	254	1	2010	2010	NUM
iajs-3140	255	1	2010/05/24/;329(11):2291303	2010/05/24/;329(11):2291303	NUM
iajs-3140	255	2	.	.	PROPN
iajs-3140	256	1	6	6	NUM
iajs-3140	256	2	.	.	X
iajs-3140	256	3	shahba	shahba	PROPN
iajs-3140	256	4	a	a	PROPN
iajs-3140	256	5	,	,	PUNCT
iajs-3140	256	6	attarnejad	attarnejad	NOUN
iajs-3140	256	7	r	r	NOUN
iajs-3140	256	8	,	,	PUNCT
iajs-3140	256	9	marvi	marvi	PROPN
iajs-3140	256	10	mt	mt	PROPN
iajs-3140	256	11	,	,	PUNCT
iajs-3140	256	12	hajilar	hajilar	PROPN
iajs-3140	256	13	s.	s.	PROPN
iajs-3140	256	14	free	free	ADJ
iajs-3140	256	15	vibration	vibration	NOUN
iajs-3140	256	16	and	and	CCONJ
iajs-3140	256	17	stability	stability	NOUN
iajs-3140	256	18	analysis	analysis	NOUN
iajs-3140	256	19	of	of	ADP
iajs-3140	256	20	axially	axially	ADV
iajs-3140	256	21	functionally	functionally	ADV
iajs-3140	256	22	graded	grade	VERB
iajs-3140	256	23	tapered	tapered	ADJ
iajs-3140	256	24	timoshenko	timoshenko	ADJ
iajs-3140	256	25	beams	beam	NOUN
iajs-3140	256	26	with	with	ADP
iajs-3140	256	27	classical	classical	ADJ
iajs-3140	256	28	and	and	CCONJ
iajs-3140	256	29	non	non	ADJ
iajs-3140	256	30	-	-	ADJ
iajs-3140	256	31	classical	classical	ADJ
iajs-3140	256	32	boundary	boundary	ADJ
iajs-3140	256	33	conditions	condition	NOUN
iajs-3140	256	34	.	.	PUNCT
iajs-3140	257	1	composites	composite	VERB
iajs-3140	257	2	part	part	NOUN
iajs-3140	257	3	b	b	NOUN
iajs-3140	257	4	:	:	PUNCT
iajs-3140	257	5	engineering	engineering	NOUN
iajs-3140	257	6	.	.	PUNCT
iajs-3140	258	1	2011	2011	NUM
iajs-3140	258	2	2011/06/01/;42(4):801	2011/06/01/;42(4):801	NOUN
iajs-3140	258	3	-	-	SYM
iajs-3140	258	4	8	8	NUM
iajs-3140	258	5	.	.	X
iajs-3140	259	1	7	7	X
iajs-3140	259	2	.	.	X
iajs-3140	259	3	shahba	shahba	PROPN
iajs-3140	259	4	a	a	NOUN
iajs-3140	259	5	,	,	PUNCT
iajs-3140	259	6	rajasekaran	rajasekaran	NOUN
iajs-3140	259	7	s.	s.	PROPN
iajs-3140	259	8	free	free	ADJ
iajs-3140	259	9	vibration	vibration	NOUN
iajs-3140	259	10	and	and	CCONJ
iajs-3140	259	11	stability	stability	NOUN
iajs-3140	259	12	of	of	ADP
iajs-3140	259	13	tapered	tapered	PROPN
iajs-3140	259	14	euler	euler	PROPN
iajs-3140	259	15	–	–	PUNCT
iajs-3140	259	16	bernoulli	bernoulli	NOUN
iajs-3140	259	17	beams	beam	NOUN
iajs-3140	259	18	made	make	VERB
iajs-3140	259	19	of	of	ADP
iajs-3140	259	20	axially	axially	ADV
iajs-3140	259	21	functionally	functionally	ADV
iajs-3140	259	22	graded	grade	VERB
iajs-3140	259	23	materials	material	NOUN
iajs-3140	259	24	.	.	PUNCT
iajs-3140	260	1	applied	apply	VERB
iajs-3140	260	2	mathematical	mathematical	ADJ
iajs-3140	260	3	modelling	modelling	NOUN
iajs-3140	260	4	.	.	PUNCT
iajs-3140	261	1	2012	2012	NUM
iajs-3140	261	2	2012/07/01/;36(7):3094	2012/07/01/;36(7):3094	NUM
iajs-3140	261	3	-	-	SYM
iajs-3140	261	4	111	111	NUM
iajs-3140	261	5	.	.	NOUN
iajs-3140	261	6	8	8	NUM
iajs-3140	261	7	.	.	X
iajs-3140	261	8	stanisław	stanisław	PROPN
iajs-3140	261	9	kukla	kukla	PROPN
iajs-3140	261	10	,	,	PUNCT
iajs-3140	261	11	rychlewska	rychlewska	PROPN
iajs-3140	261	12	j.	j.	PROPN
iajs-3140	261	13	free	free	ADJ
iajs-3140	261	14	vibration	vibration	NOUN
iajs-3140	261	15	analysis	analysis	NOUN
iajs-3140	261	16	of	of	ADP
iajs-3140	261	17	functionally	functionally	ADV
iajs-3140	261	18	graded	grade	VERB
iajs-3140	261	19	beams	beam	NOUN
iajs-3140	261	20	journal	journal	NOUN
iajs-3140	261	21	of	of	ADP
iajs-3140	261	22	applied	apply	VERB
iajs-3140	261	23	mathematics	mathematic	NOUN
iajs-3140	261	24	and	and	CCONJ
iajs-3140	261	25	computational	computational	ADJ
iajs-3140	261	26	mechanics	mechanic	NOUN
iajs-3140	261	27	.	.	PUNCT
iajs-3140	262	1	2013;12(2):39	2013;12(2):39	PROPN
iajs-3140	262	2	-	-	SYM
iajs-3140	262	3	44	44	NUM
iajs-3140	262	4	.	.	PUNCT
iajs-3140	263	1	9	9	NUM
iajs-3140	263	2	.	.	X
iajs-3140	264	1	yilmaz	yilmaz	PROPN
iajs-3140	264	2	y	y	PROPN
iajs-3140	264	3	,	,	PUNCT
iajs-3140	264	4	girgin	girgin	VERB
iajs-3140	264	5	z	z	PROPN
iajs-3140	264	6	,	,	PUNCT
iajs-3140	264	7	evran	evran	PROPN
iajs-3140	264	8	s.	s.	PROPN
iajs-3140	264	9	buckling	buckle	VERB
iajs-3140	264	10	analyses	analysis	NOUN
iajs-3140	264	11	of	of	ADP
iajs-3140	264	12	axially	axially	ADV
iajs-3140	264	13	functionally	functionally	ADV
iajs-3140	264	14	graded	grade	VERB
iajs-3140	264	15	nonuniform	nonuniform	ADJ
iajs-3140	264	16	columns	column	NOUN
iajs-3140	264	17	with	with	ADP
iajs-3140	264	18	elastic	elastic	ADJ
iajs-3140	264	19	restraint	restraint	NOUN
iajs-3140	264	20	using	use	VERB
iajs-3140	264	21	a	a	DET
iajs-3140	264	22	localized	localized	ADJ
iajs-3140	264	23	differential	differential	ADJ
iajs-3140	264	24	quadrature	quadrature	NOUN
iajs-3140	264	25	method	method	NOUN
iajs-3140	264	26	.	.	PUNCT
iajs-3140	265	1	mathematical	mathematical	ADJ
iajs-3140	265	2	problems	problem	NOUN
iajs-3140	265	3	in	in	ADP
iajs-3140	265	4	engineering	engineering	NOUN
iajs-3140	265	5	.	.	PUNCT
iajs-3140	266	1	2013	2013	NUM
iajs-3140	266	2	2013/07/28;2013:793062	2013/07/28;2013:793062	SYM
iajs-3140	266	3	.	.	PROPN
iajs-3140	266	4	10	10	NUM
iajs-3140	266	5	.	.	PUNCT
iajs-3140	267	1	geethu	geethu	PROPN
iajs-3140	267	2	chandran	chandran	PROPN
iajs-3140	267	3	,	,	PUNCT
iajs-3140	267	4	m.g.rajendran	m.g.rajendran	PROPN
iajs-3140	267	5	.	.	PUNCT
iajs-3140	268	1	study	study	NOUN
iajs-3140	268	2	on	on	ADP
iajs-3140	268	3	buckling	buckling	NOUN
iajs-3140	268	4	of	of	ADP
iajs-3140	268	5	column	column	NOUN
iajs-3140	268	6	made	make	VERB
iajs-3140	268	7	of	of	ADP
iajs-3140	268	8	functionally	functionally	ADV
iajs-3140	268	9	graded	grade	VERB
iajs-3140	268	10	material	material	NOUN
iajs-3140	268	11	.	.	PUNCT
iajs-3140	269	1	international	international	ADJ
iajs-3140	269	2	journal	journal	PROPN
iajs-3140	269	3	of	of	ADP
iajs-3140	269	4	mechanical	mechanical	ADJ
iajs-3140	269	5	and	and	CCONJ
iajs-3140	269	6	production	production	NOUN
iajs-3140	269	7	engineering	engineering	NOUN
iajs-3140	269	8	.	.	PUNCT
iajs-3140	270	1	2014;2(2):52	2014;2(2):52	NUM
iajs-3140	270	2	-	-	SYM
iajs-3140	270	3	4	4	NUM
iajs-3140	270	4	.	.	NOUN
iajs-3140	270	5	11	11	NUM
iajs-3140	270	6	.	.	PUNCT
iajs-3140	271	1	shafiei	shafiei	PROPN
iajs-3140	271	2	n	n	SYM
iajs-3140	271	3	,	,	PUNCT
iajs-3140	271	4	kazemi	kazemi	PROPN
iajs-3140	271	5	m	m	PROPN
iajs-3140	271	6	,	,	PUNCT
iajs-3140	271	7	ghadiri	ghadiri	PROPN
iajs-3140	271	8	m.	m.	NOUN
iajs-3140	271	9	nonlinear	nonlinear	ADJ
iajs-3140	271	10	vibration	vibration	NOUN
iajs-3140	271	11	of	of	ADP
iajs-3140	271	12	axially	axially	ADV
iajs-3140	271	13	functionally	functionally	ADV
iajs-3140	271	14	graded	grade	VERB
iajs-3140	271	15	tapered	tapered	ADJ
iajs-3140	271	16	microbeams	microbeam	NOUN
iajs-3140	271	17	.	.	PUNCT
iajs-3140	272	1	international	international	ADJ
iajs-3140	272	2	journal	journal	NOUN
iajs-3140	272	3	of	of	ADP
iajs-3140	272	4	engineering	engineering	NOUN
iajs-3140	272	5	science	science	NOUN
iajs-3140	272	6	.	.	PUNCT
iajs-3140	273	1	2016	2016	NUM
iajs-3140	273	2	2016/05/01/;102:12	2016/05/01/;102:12	NUM
iajs-3140	273	3	-	-	SYM
iajs-3140	273	4	26	26	NUM
iajs-3140	273	5	.	.	PUNCT
iajs-3140	274	1	12	12	NUM
iajs-3140	274	2	.	.	PUNCT
iajs-3140	275	1	ranganathan	ranganathan	PROPN
iajs-3140	275	2	si	si	PROPN
iajs-3140	275	3	,	,	PUNCT
iajs-3140	275	4	abed	abed	PROPN
iajs-3140	275	5	fh	fh	PROPN
iajs-3140	275	6	,	,	PUNCT
iajs-3140	275	7	aldadah	aldadah	PROPN
iajs-3140	275	8	mg	mg	PROPN
iajs-3140	275	9	.	.	PUNCT
iajs-3140	276	1	buckling	buckle	VERB
iajs-3140	276	2	of	of	ADP
iajs-3140	276	3	slender	slender	ADJ
iajs-3140	276	4	columns	column	NOUN
iajs-3140	276	5	with	with	ADP
iajs-3140	276	6	functionally	functionally	ADV
iajs-3140	276	7	graded	grade	VERB
iajs-3140	276	8	microstructures	microstructure	NOUN
iajs-3140	276	9	.	.	PUNCT
iajs-3140	277	1	mechanics	mechanic	NOUN
iajs-3140	277	2	of	of	ADP
iajs-3140	277	3	advanced	advanced	ADJ
iajs-3140	277	4	materials	material	NOUN
iajs-3140	277	5	and	and	CCONJ
iajs-3140	277	6	structures	structure	NOUN
iajs-3140	277	7	.	.	PUNCT
iajs-3140	278	1	2016	2016	NUM
iajs-3140	278	2	2016/11/01;23(11):1360	2016/11/01;23(11):1360	NOUN
iajs-3140	278	3	-	-	PUNCT
iajs-3140	278	4	7	7	NUM
iajs-3140	278	5	.	.	NOUN
iajs-3140	278	6	13	13	NUM
iajs-3140	278	7	.	.	PUNCT
iajs-3140	279	1	elishakoff	elishakoff	PROPN
iajs-3140	279	2	i	i	PROPN
iajs-3140	279	3	,	,	PUNCT
iajs-3140	279	4	eisenberger	eisenberger	PROPN
iajs-3140	279	5	m	m	PROPN
iajs-3140	279	6	,	,	PUNCT
iajs-3140	279	7	delmas	delmas	PROPN
iajs-3140	279	8	a.	a.	NOUN
iajs-3140	279	9	buckling	buckling	NOUN
iajs-3140	279	10	and	and	CCONJ
iajs-3140	279	11	vibration	vibration	NOUN
iajs-3140	279	12	of	of	ADP
iajs-3140	279	13	functionally	functionally	ADV
iajs-3140	279	14	graded	grade	VERB
iajs-3140	279	15	material	material	NOUN
iajs-3140	279	16	columns	column	NOUN
iajs-3140	279	17	sharing	share	VERB
iajs-3140	279	18	duncan	duncan	PROPN
iajs-3140	279	19	's	's	PART
iajs-3140	279	20	mode	mode	NOUN
iajs-3140	279	21	shape	shape	NOUN
iajs-3140	279	22	,	,	PUNCT
iajs-3140	279	23	and	and	CCONJ
iajs-3140	279	24	new	new	ADJ
iajs-3140	279	25	cases	case	NOUN
iajs-3140	279	26	.	.	PUNCT
iajs-3140	280	1	structures	structure	NOUN
iajs-3140	280	2	.	.	PUNCT
iajs-3140	281	1	2016	2016	NUM
iajs-3140	281	2	2016/02/01/;5:170	2016/02/01/;5:170	NUM
iajs-3140	281	3	-	-	SYM
iajs-3140	281	4	4	4	NUM
iajs-3140	281	5	.	.	NOUN
iajs-3140	281	6	14	14	NUM
iajs-3140	281	7	.	.	PUNCT
iajs-3140	282	1	rezaiee	rezaiee	NOUN
iajs-3140	282	2	-	-	PUNCT
iajs-3140	282	3	pajand	pajand	PROPN
iajs-3140	282	4	m	m	PROPN
iajs-3140	282	5	,	,	PUNCT
iajs-3140	282	6	masoodi	masoodi	PROPN
iajs-3140	282	7	ar	ar	PROPN
iajs-3140	282	8	.	.	PROPN
iajs-3140	282	9	exact	exact	ADJ
iajs-3140	282	10	natural	natural	ADJ
iajs-3140	282	11	frequencies	frequency	NOUN
iajs-3140	282	12	and	and	CCONJ
iajs-3140	282	13	buckling	buckling	NOUN
iajs-3140	282	14	load	load	NOUN
iajs-3140	282	15	of	of	ADP
iajs-3140	282	16	functionally	functionally	ADV
iajs-3140	282	17	graded	grade	VERB
iajs-3140	282	18	material	material	NOUN
iajs-3140	282	19	tapered	taper	VERB
iajs-3140	282	20	beam	beam	NOUN
iajs-3140	282	21	-	-	PUNCT
iajs-3140	282	22	columns	column	NOUN
iajs-3140	282	23	considering	consider	VERB
iajs-3140	282	24	semi	semi	ADJ
iajs-3140	282	25	-	-	ADJ
iajs-3140	282	26	rigid	rigid	ADJ
iajs-3140	282	27	connections	connection	NOUN
iajs-3140	282	28	.	.	PUNCT
iajs-3140	283	1	journal	journal	NOUN
iajs-3140	283	2	of	of	ADP
iajs-3140	283	3	vibration	vibration	NOUN
iajs-3140	283	4	and	and	CCONJ
iajs-3140	283	5	control	control	NOUN
iajs-3140	283	6	.	.	PUNCT
iajs-3140	284	1	2016	2016	NUM
iajs-3140	284	2	2018/05/01;24(9):1787	2018/05/01;24(9):1787	NUM
iajs-3140	284	3	-	-	SYM
iajs-3140	284	4	808	808	NUM
iajs-3140	284	5	.	.	NOUN
iajs-3140	284	6	15	15	NUM
iajs-3140	284	7	.	.	PUNCT
iajs-3140	285	1	lee	lee	PROPN
iajs-3140	285	2	jk	jk	PROPN
iajs-3140	285	3	,	,	PUNCT
iajs-3140	285	4	lee	lee	PROPN
iajs-3140	285	5	bk	bk	PROPN
iajs-3140	285	6	.	.	PUNCT
iajs-3140	285	7	free	free	ADJ
iajs-3140	285	8	vibration	vibration	NOUN
iajs-3140	285	9	and	and	CCONJ
iajs-3140	285	10	buckling	buckling	NOUN
iajs-3140	285	11	of	of	ADP
iajs-3140	285	12	tapered	tapered	ADJ
iajs-3140	285	13	columns	column	NOUN
iajs-3140	285	14	made	make	VERB
iajs-3140	285	15	of	of	ADP
iajs-3140	285	16	axially	axially	ADV
iajs-3140	285	17	functionally	functionally	ADV
iajs-3140	285	18	graded	grade	VERB
iajs-3140	285	19	materials	material	NOUN
iajs-3140	285	20	.	.	PUNCT
iajs-3140	286	1	applied	apply	VERB
iajs-3140	286	2	mathematical	mathematical	ADJ
iajs-3140	286	3	modelling	modelling	NOUN
iajs-3140	286	4	.	.	PUNCT
iajs-3140	287	1	2019	2019	NUM
iajs-3140	287	2	2019/11/01/;75:73	2019/11/01/;75:73	NUM
iajs-3140	287	3	-	-	SYM
iajs-3140	287	4	87	87	NUM
iajs-3140	287	5	.	.	PUNCT
iajs-3140	288	1	16	16	NUM
iajs-3140	288	2	.	.	PUNCT
iajs-3140	289	1	ghani	ghani	PROPN
iajs-3140	289	2	,	,	PUNCT
iajs-3140	289	3	suadad	suadad	PROPN
iajs-3140	289	4	noori	noori	PROPN
iajs-3140	289	5	,	,	PUNCT
iajs-3140	289	6	neamah	neamah	PROPN
iajs-3140	289	7	,	,	PUNCT
iajs-3140	289	8	raghad	raghad	ADJ
iajs-3140	289	9	azeez	azeez	NOUN
iajs-3140	289	10	,	,	PUNCT
iajs-3140	289	11	abdalzahra	abdalzahra	PROPN
iajs-3140	289	12	,	,	PUNCT
iajs-3140	289	13	ali	ali	PROPN
iajs-3140	289	14	talib	talib	PROPN
iajs-3140	289	15	,	,	PUNCT
iajs-3140	289	16	al	al	PROPN
iajs-3140	289	17	-	-	PUNCT
iajs-3140	289	18	ansari	ansari	PROPN
iajs-3140	289	19	,	,	PUNCT
iajs-3140	289	20	luay	luay	PROPN
iajs-3140	289	21	s.	s.	PROPN
iajs-3140	289	22	and	and	CCONJ
iajs-3140	289	23	abdulsamad	abdulsamad	NOUN
iajs-3140	289	24	,	,	PUNCT
iajs-3140	289	25	husam	husam	PROPN
iajs-3140	289	26	jawad	jawad	PROPN
iajs-3140	289	27	.	.	PUNCT
iajs-3140	290	1	"	"	PUNCT
iajs-3140	290	2	analytical	analytical	ADJ
iajs-3140	290	3	and	and	CCONJ
iajs-3140	290	4	numerical	numerical	ADJ
iajs-3140	290	5	investigation	investigation	NOUN
iajs-3140	290	6	of	of	ADP
iajs-3140	290	7	free	free	ADJ
iajs-3140	290	8	vibration	vibration	NOUN
iajs-3140	290	9	for	for	ADP
iajs-3140	290	10	ihjpas	ihjpa	NOUN
iajs-3140	290	11	.	.	PUNCT
iajs-3140	291	1	36	36	NUM
iajs-3140	291	2	(	(	PUNCT
iajs-3140	291	3	4	4	NUM
iajs-3140	291	4	)	)	PUNCT
iajs-3140	291	5	2023	2023	NUM
iajs-3140	291	6	443	443	NUM
iajs-3140	291	7	stepped	step	VERB
iajs-3140	291	8	beam	beam	NOUN
iajs-3140	291	9	with	with	ADP
iajs-3140	291	10	different	different	ADJ
iajs-3140	291	11	materials	material	NOUN
iajs-3140	291	12	"	"	PUNCT
iajs-3140	291	13	open	open	ADJ
iajs-3140	291	14	engineering	engineering	NOUN
iajs-3140	291	15	,	,	PUNCT
iajs-3140	291	16	vol	vol	NOUN
iajs-3140	291	17	.	.	PROPN
iajs-3140	291	18	12	12	NUM
iajs-3140	291	19	,	,	PUNCT
iajs-3140	291	20	no	no	INTJ
iajs-3140	291	21	.	.	NOUN
iajs-3140	291	22	1	1	NUM
iajs-3140	291	23	,	,	PUNCT
iajs-3140	291	24	2022	2022	NUM
iajs-3140	291	25	,	,	PUNCT
iajs-3140	291	26	pp	pp	ADJ
iajs-3140	291	27	.	.	PUNCT
iajs-3140	291	28	184196	184196	NUM
iajs-3140	291	29	.	.	PUNCT
iajs-3140	292	1	https://doi.org/10.1515/eng-2022-0031	https://doi.org/10.1515/eng-2022-0031	ADJ
iajs-3140	292	2	.	.	PUNCT
iajs-3140	293	1	17	17	NUM
iajs-3140	293	2	.	.	X
iajs-3140	293	3	du	du	PROPN
iajs-3140	293	4	,	,	PUNCT
iajs-3140	293	5	xiaokang	xiaokang	PROPN
iajs-3140	293	6	,	,	PUNCT
iajs-3140	293	7	jing	jing	PROPN
iajs-3140	293	8	zhang	zhang	PROPN
iajs-3140	293	9	,	,	PUNCT
iajs-3140	293	10	xian	xian	PROPN
iajs-3140	293	11	guo	guo	PROPN
iajs-3140	293	12	,	,	PUNCT
iajs-3140	293	13	liang	liang	PROPN
iajs-3140	293	14	li	li	PROPN
iajs-3140	293	15	,	,	PUNCT
iajs-3140	293	16	and	and	CCONJ
iajs-3140	293	17	dingguo	dingguo	PROPN
iajs-3140	293	18	zhang	zhang	PROPN
iajs-3140	293	19	.	.	PROPN
iajs-3140	293	20	2022	2022	NUM
iajs-3140	293	21	.	.	PUNCT
iajs-3140	294	1	"	"	PUNCT
iajs-3140	294	2	dynamics	dynamic	VERB
iajs-3140	294	3	analysis	analysis	NOUN
iajs-3140	294	4	of	of	ADP
iajs-3140	294	5	rotating	rotate	VERB
iajs-3140	294	6	cantilever	cantilever	NOUN
iajs-3140	294	7	beams	beam	NOUN
iajs-3140	294	8	with	with	ADP
iajs-3140	294	9	free	free	ADJ
iajs-3140	294	10	end	end	NOUN
iajs-3140	294	11	mass	mass	PROPN
iajs-3140	294	12	"	"	PUNCT
iajs-3140	294	13	applied	apply	VERB
iajs-3140	294	14	sciences	science	NOUN
iajs-3140	294	15	12	12	NUM
iajs-3140	294	16	,	,	PUNCT
iajs-3140	294	17	no	no	INTJ
iajs-3140	294	18	.	.	NOUN
iajs-3140	294	19	15	15	NUM
iajs-3140	294	20	:	:	SYM
iajs-3140	294	21	7553	7553	NUM
iajs-3140	294	22	.	.	PUNCT
iajs-3140	295	1	https://doi.org/10.3390/app12157553	https://doi.org/10.3390/app12157553	PROPN
iajs-3140	295	2	18	18	NUM
iajs-3140	295	3	.	.	PUNCT
iajs-3140	296	1	carnegie	carnegie	PROPN
iajs-3140	296	2	w.	w.	PROPN
iajs-3140	296	3	vibrations	vibration	NOUN
iajs-3140	296	4	of	of	ADP
iajs-3140	296	5	pre	pre	ADJ
iajs-3140	296	6	-	-	ADJ
iajs-3140	296	7	twisted	twisted	ADJ
iajs-3140	296	8	cantilever	cantilever	NOUN
iajs-3140	296	9	blading	blade	VERB
iajs-3140	296	10	:	:	PUNCT
iajs-3140	296	11	an	an	DET
iajs-3140	296	12	additional	additional	ADJ
iajs-3140	296	13	effect	effect	NOUN
iajs-3140	296	14	due	due	ADP
iajs-3140	296	15	to	to	ADP
iajs-3140	296	16	torsion	torsion	NOUN
iajs-3140	296	17	.	.	PUNCT
iajs-3140	297	1	proceedings	proceeding	NOUN
iajs-3140	297	2	of	of	ADP
iajs-3140	297	3	the	the	DET
iajs-3140	297	4	institution	institution	NOUN
iajs-3140	297	5	of	of	ADP
iajs-3140	297	6	mechanical	mechanical	ADJ
iajs-3140	297	7	engineers	engineer	NOUN
iajs-3140	297	8	.	.	PUNCT
iajs-3140	298	1	1962	1962	NUM
iajs-3140	298	2	1962/06/01;176(1):315	1962/06/01;176(1):315	PROPN
iajs-3140	298	3	-	-	SYM
iajs-3140	298	4	22	22	NUM
iajs-3140	298	5	.	.	PUNCT
iajs-3140	299	1	19	19	NUM
iajs-3140	299	2	.	.	X
iajs-3140	300	1	rao	rao	PROPN
iajs-3140	300	2	js	js	PROPN
iajs-3140	300	3	,	,	PUNCT
iajs-3140	300	4	carnegie	carnegie	NOUN
iajs-3140	300	5	w.	w.	NOUN
iajs-3140	300	6	solution	solution	NOUN
iajs-3140	300	7	of	of	ADP
iajs-3140	300	8	the	the	DET
iajs-3140	300	9	equations	equation	NOUN
iajs-3140	300	10	of	of	ADP
iajs-3140	300	11	motion	motion	NOUN
iajs-3140	300	12	of	of	ADP
iajs-3140	300	13	coupled	couple	VERB
iajs-3140	300	14	-	-	PUNCT
iajs-3140	300	15	bending	bend	VERB
iajs-3140	300	16	bending	bend	VERB
iajs-3140	300	17	torsion	torsion	NOUN
iajs-3140	300	18	vibrations	vibration	NOUN
iajs-3140	300	19	of	of	ADP
iajs-3140	300	20	turbine	turbine	NOUN
iajs-3140	300	21	blades	blade	NOUN
iajs-3140	300	22	by	by	ADP
iajs-3140	300	23	the	the	DET
iajs-3140	300	24	method	method	NOUN
iajs-3140	300	25	of	of	ADP
iajs-3140	300	26	ritz	ritz	PROPN
iajs-3140	300	27	-	-	PUNCT
iajs-3140	300	28	galerkin	galerkin	PROPN
iajs-3140	300	29	.	.	PUNCT
iajs-3140	301	1	international	international	ADJ
iajs-3140	301	2	journal	journal	PROPN
iajs-3140	301	3	of	of	ADP
iajs-3140	301	4	mechanical	mechanical	ADJ
iajs-3140	301	5	sciences	science	NOUN
iajs-3140	301	6	.	.	PUNCT
iajs-3140	301	7	1970	1970	NUM
iajs-3140	302	1	1970/10/01/;12(10):875	1970/10/01/;12(10):875	PROPN
iajs-3140	302	2	-	-	SYM
iajs-3140	302	3	82	82	NUM
iajs-3140	302	4	.	.	NOUN
iajs-3140	302	5	20	20	NUM
iajs-3140	302	6	.	.	PUNCT
iajs-3140	302	7	abbas	abbas	PROPN
iajs-3140	302	8	bah	bah	PROPN
iajs-3140	302	9	,	,	PUNCT
iajs-3140	302	10	irretier	irretier	PROPN
iajs-3140	302	11	h.	h.	PROPN
iajs-3140	302	12	experimental	experimental	ADJ
iajs-3140	302	13	and	and	CCONJ
iajs-3140	302	14	theoretical	theoretical	ADJ
iajs-3140	302	15	investigations	investigation	NOUN
iajs-3140	302	16	of	of	ADP
iajs-3140	302	17	the	the	DET
iajs-3140	302	18	effect	effect	NOUN
iajs-3140	302	19	of	of	ADP
iajs-3140	302	20	root	root	NOUN
iajs-3140	302	21	flexibility	flexibility	NOUN
iajs-3140	302	22	on	on	ADP
iajs-3140	302	23	the	the	DET
iajs-3140	302	24	vibration	vibration	NOUN
iajs-3140	302	25	characteristics	characteristic	NOUN
iajs-3140	302	26	of	of	ADP
iajs-3140	302	27	cantilever	cantilever	NOUN
iajs-3140	302	28	beams	beam	NOUN
iajs-3140	302	29	.	.	PUNCT
iajs-3140	303	1	journal	journal	NOUN
iajs-3140	303	2	of	of	ADP
iajs-3140	303	3	sound	sound	ADJ
iajs-3140	303	4	vibration	vibration	NOUN
iajs-3140	303	5	.	.	PUNCT
iajs-3140	304	1	1989	1989	NUM
iajs-3140	304	2	may	may	PROPN
iajs-3140	304	3	01	01	NUM
iajs-3140	304	4	,	,	PUNCT
iajs-3140	304	5	1989;130:353	1989;130:353	NUM
iajs-3140	304	6	-	-	SYM
iajs-3140	304	7	62	62	NUM
iajs-3140	304	8	.	.	PUNCT
iajs-3140	304	9	https://doi.org/10.1515/eng-2022-0031	https://doi.org/10.1515/eng-2022-0031	NOUN