id	sid	tid	token	lemma	pos
alkej-494	1	1	4d6963726f736f667420576f7264202d2032332d3332e3cde3cf20c8d4edd120e6e6cfc7cf	4d6963726f736f667420576f7264202d2032332d3332e3cde3cf20c8d4edd120e6e6cfc7cf	X
alkej-494	1	2	>	>	X
alkej-494	1	3	al	al	PROPN
alkej-494	1	4	-	-	PUNCT
alkej-494	1	5	khwarizmi	khwarizmi	PROPN
alkej-494	1	6	engineering	engineering	PROPN
alkej-494	1	7	journal	journal	PROPN
alkej-494	1	8	al	al	PROPN
alkej-494	1	9	-	-	PUNCT
alkej-494	1	10	khwarizmi	khwarizmi	PROPN
alkej-494	1	11	engineering	engineering	NOUN
alkej-494	1	12	journal	journal	PROPN
alkej-494	1	13	,	,	PUNCT
alkej-494	1	14	vol	vol	NOUN
alkej-494	1	15	.	.	PROPN
alkej-494	1	16	15	15	NUM
alkej-494	1	17	,	,	PUNCT
alkej-494	1	18	no	no	INTJ
alkej-494	1	19	.	.	NOUN
alkej-494	1	20	4	4	NUM
alkej-494	1	21	,	,	PUNCT
alkej-494	1	22	december	december	PROPN
alkej-494	1	23	,	,	PUNCT
alkej-494	1	24	(	(	PUNCT
alkej-494	1	25	2019	2019	NUM
alkej-494	1	26	)	)	PUNCT
alkej-494	2	1	p.	p.	NOUN
alkej-494	2	2	p.	p.	NOUN
alkej-494	2	3	2332	2332	NUM
alkej-494	3	1	free	free	ADJ
alkej-494	3	2	vibration	vibration	NOUN
alkej-494	3	3	analysis	analysis	NOUN
alkej-494	3	4	of	of	ADP
alkej-494	3	5	laminated	laminated	ADJ
alkej-494	3	6	composite	composite	ADJ
alkej-494	3	7	plates	plate	NOUN
alkej-494	3	8	with	with	ADP
alkej-494	3	9	general	general	ADJ
alkej-494	3	10	boundary	boundary	ADJ
alkej-494	3	11	elastic	elastic	ADJ
alkej-494	3	12	supports	support	NOUN
alkej-494	3	13	under	under	ADP
alkej-494	3	14	initial	initial	ADJ
alkej-494	3	15	thermal	thermal	ADJ
alkej-494	3	16	load	load	NOUN
alkej-494	3	17	mohammed	mohammed	PROPN
alkej-494	3	18	b.	b.	PROPN
alkej-494	3	19	hammed	hammed	PROPN
alkej-494	3	20	*	*	PROPN
alkej-494	3	21	widad	widad	PROPN
alkej-494	3	22	i.	i.	PROPN
alkej-494	3	23	majeed	majeed	PROPN
alkej-494	3	24	*	*	PROPN
alkej-494	3	25	*	*	PUNCT
alkej-494	4	1	*	*	PUNCT
alkej-494	4	2	*	*	PUNCT
alkej-494	4	3	*	*	PUNCT
alkej-494	4	4	department	department	NOUN
alkej-494	4	5	of	of	ADP
alkej-494	4	6	mechanical	mechanical	ADJ
alkej-494	4	7	engineering/	engineering/	NUM
alkej-494	4	8	university	university	NOUN
alkej-494	4	9	of	of	ADP
alkej-494	4	10	baghdad	baghdad	PROPN
alkej-494	4	11	*	*	PUNCT
alkej-494	4	12	email	email	NOUN
alkej-494	4	13	:	:	PUNCT
alkej-494	4	14	mohammed88alabas@gmail.com	mohammed88alabas@gmail.com	X
alkej-494	4	15	*	*	PUNCT
alkej-494	4	16	*	*	NOUN
alkej-494	4	17	email	email	NOUN
alkej-494	4	18	:	:	PUNCT
alkej-494	4	19	wedad.ibrahim@coeg.uobaghdad.edu.iq	wedad.ibrahim@coeg.uobaghdad.edu.iq	ADJ
alkej-494	4	20	(	(	PUNCT
alkej-494	4	21	received	receive	VERB
alkej-494	4	22	21	21	NUM
alkej-494	4	23	may	may	PROPN
alkej-494	4	24	2019	2019	NUM
alkej-494	4	25	;	;	PUNCT
alkej-494	4	26	accepted	accept	VERB
alkej-494	4	27	3	3	NUM
alkej-494	4	28	september	september	PROPN
alkej-494	4	29	2019	2019	NUM
alkej-494	4	30	)	)	PUNCT
alkej-494	4	31	https://doi.org/10.22153/kej.2019.09.004	https://doi.org/10.22153/kej.2019.09.004	NUM
alkej-494	4	32	abstract	abstract	ADV
alkej-494	4	33	free	free	ADJ
alkej-494	4	34	vibration	vibration	NOUN
alkej-494	4	35	behavior	behavior	NOUN
alkej-494	4	36	was	be	AUX
alkej-494	4	37	developed	develop	VERB
alkej-494	4	38	under	under	ADP
alkej-494	4	39	the	the	DET
alkej-494	4	40	ratio	ratio	NOUN
alkej-494	4	41	of	of	ADP
alkej-494	4	42	critical	critical	ADJ
alkej-494	4	43	buckling	buckling	NOUN
alkej-494	4	44	temperature	temperature	NOUN
alkej-494	4	45	of	of	ADP
alkej-494	4	46	laminated	laminated	ADJ
alkej-494	4	47	composite	composite	ADJ
alkej-494	4	48	thin	thin	ADJ
alkej-494	4	49	plates	plate	NOUN
alkej-494	4	50	with	with	ADP
alkej-494	4	51	the	the	DET
alkej-494	4	52	general	general	ADJ
alkej-494	4	53	elastic	elastic	ADJ
alkej-494	4	54	boundary	boundary	ADJ
alkej-494	4	55	condition	condition	NOUN
alkej-494	4	56	.	.	PUNCT
alkej-494	5	1	the	the	DET
alkej-494	5	2	equations	equation	NOUN
alkej-494	5	3	of	of	ADP
alkej-494	5	4	motion	motion	NOUN
alkej-494	5	5	were	be	AUX
alkej-494	5	6	found	find	VERB
alkej-494	5	7	based	base	VERB
alkej-494	5	8	on	on	ADP
alkej-494	5	9	classical	classical	ADJ
alkej-494	5	10	laminated	laminate	VERB
alkej-494	5	11	plate	plate	NOUN
alkej-494	5	12	theory	theory	NOUN
alkej-494	5	13	(	(	PUNCT
alkej-494	5	14	clpt	clpt	ADJ
alkej-494	5	15	)	)	PUNCT
alkej-494	5	16	while	while	SCONJ
alkej-494	5	17	the	the	DET
alkej-494	5	18	solution	solution	NOUN
alkej-494	5	19	functions	function	NOUN
alkej-494	5	20	consists	consist	VERB
alkej-494	5	21	of	of	ADP
alkej-494	5	22	trigonometric	trigonometric	ADJ
alkej-494	5	23	function	function	NOUN
alkej-494	5	24	and	and	CCONJ
alkej-494	5	25	a	a	DET
alkej-494	5	26	continuous	continuous	ADJ
alkej-494	5	27	function	function	NOUN
alkej-494	5	28	that	that	PRON
alkej-494	5	29	is	be	AUX
alkej-494	5	30	added	add	VERB
alkej-494	5	31	to	to	PART
alkej-494	5	32	guarantee	guarantee	VERB
alkej-494	5	33	the	the	DET
alkej-494	5	34	sufficient	sufficient	ADJ
alkej-494	5	35	smoother	smooth	ADJ
alkej-494	5	36	of	of	ADP
alkej-494	5	37	the	the	DET
alkej-494	5	38	so	so	ADV
alkej-494	5	39	-	-	PUNCT
alkej-494	5	40	named	name	VERB
alkej-494	5	41	remaining	remain	VERB
alkej-494	5	42	displacement	displacement	ADJ
alkej-494	5	43	function	function	NOUN
alkej-494	5	44	at	at	ADP
alkej-494	5	45	the	the	DET
alkej-494	5	46	boundaries	boundary	NOUN
alkej-494	5	47	,	,	PUNCT
alkej-494	5	48	in	in	ADP
alkej-494	5	49	this	this	DET
alkej-494	5	50	research	research	NOUN
alkej-494	5	51	,	,	PUNCT
alkej-494	5	52	a	a	DET
alkej-494	5	53	modified	modify	VERB
alkej-494	5	54	fourier	fourier	NOUN
alkej-494	5	55	series	series	NOUN
alkej-494	5	56	were	be	AUX
alkej-494	5	57	used	use	VERB
alkej-494	5	58	,	,	PUNCT
alkej-494	5	59	a	a	DET
alkej-494	5	60	generalized	generalized	ADJ
alkej-494	5	61	procedure	procedure	NOUN
alkej-494	5	62	solution	solution	NOUN
alkej-494	5	63	was	be	AUX
alkej-494	5	64	developed	develop	VERB
alkej-494	5	65	using	use	VERB
alkej-494	5	66	ritz	ritz	PROPN
alkej-494	5	67	method	method	NOUN
alkej-494	5	68	combined	combine	VERB
alkej-494	5	69	with	with	ADP
alkej-494	5	70	the	the	DET
alkej-494	5	71	imaginary	imaginary	ADJ
alkej-494	5	72	spring	spring	NOUN
alkej-494	5	73	technique	technique	NOUN
alkej-494	5	74	.	.	PUNCT
alkej-494	6	1	the	the	DET
alkej-494	6	2	influences	influence	NOUN
alkej-494	6	3	of	of	ADP
alkej-494	6	4	many	many	ADJ
alkej-494	6	5	design	design	NOUN
alkej-494	6	6	parameters	parameter	NOUN
alkej-494	6	7	such	such	ADJ
alkej-494	6	8	as	as	ADP
alkej-494	6	9	angles	angle	NOUN
alkej-494	6	10	of	of	ADP
alkej-494	6	11	layers	layer	NOUN
alkej-494	6	12	,	,	PUNCT
alkej-494	6	13	aspect	aspect	NOUN
alkej-494	6	14	ratio	ratio	NOUN
alkej-494	6	15	,	,	PUNCT
alkej-494	6	16	thickness	thickness	NOUN
alkej-494	6	17	ratio	ratio	NOUN
alkej-494	6	18	,	,	PUNCT
alkej-494	6	19	and	and	CCONJ
alkej-494	6	20	ratio	ratio	NOUN
alkej-494	6	21	of	of	ADP
alkej-494	6	22	initial	initial	ADJ
alkej-494	6	23	inplane	inplane	NOUN
alkej-494	6	24	thermal	thermal	ADJ
alkej-494	6	25	load	load	NOUN
alkej-494	6	26	in	in	ADP
alkej-494	6	27	addition	addition	NOUN
alkej-494	6	28	to	to	ADP
alkej-494	6	29	different	different	ADJ
alkej-494	6	30	boundary	boundary	ADJ
alkej-494	6	31	conditions	condition	NOUN
alkej-494	6	32	on	on	ADP
alkej-494	6	33	the	the	DET
alkej-494	6	34	natural	natural	ADJ
alkej-494	6	35	frequencies	frequency	NOUN
alkej-494	6	36	of	of	ADP
alkej-494	6	37	laminated	laminated	ADJ
alkej-494	6	38	plate	plate	NOUN
alkej-494	6	39	is	be	AUX
alkej-494	6	40	analyzed	analyze	VERB
alkej-494	6	41	.	.	PUNCT
alkej-494	7	1	in	in	ADP
alkej-494	7	2	general	general	ADJ
alkej-494	7	3	,	,	PUNCT
alkej-494	7	4	the	the	DET
alkej-494	7	5	changes	change	NOUN
alkej-494	7	6	of	of	ADP
alkej-494	7	7	fundamental	fundamental	ADJ
alkej-494	7	8	natural	natural	ADJ
alkej-494	7	9	frequency	frequency	NOUN
alkej-494	7	10	is	be	AUX
alkej-494	7	11	inversely	inversely	ADV
alkej-494	7	12	proportional	proportional	ADJ
alkej-494	7	13	with	with	ADP
alkej-494	7	14	the	the	DET
alkej-494	7	15	ratio	ratio	NOUN
alkej-494	7	16	of	of	ADP
alkej-494	7	17	thermal	thermal	ADJ
alkej-494	7	18	buckling	buckling	NOUN
alkej-494	7	19	load	load	NOUN
alkej-494	7	20	,	,	PUNCT
alkej-494	7	21	also	also	ADV
alkej-494	7	22	most	most	ADJ
alkej-494	7	23	parameters	parameter	NOUN
alkej-494	7	24	aspect	aspect	VERB
alkej-494	7	25	ratio	ratio	NOUN
alkej-494	7	26	effect	effect	NOUN
alkej-494	7	27	on	on	ADP
alkej-494	7	28	the	the	DET
alkej-494	7	29	natural	natural	ADJ
alkej-494	7	30	frequency	frequency	NOUN
alkej-494	7	31	about	about	ADV
alkej-494	7	32	35	35	NUM
alkej-494	7	33	–	–	SYM
alkej-494	7	34	40	40	NUM
alkej-494	7	35	%	%	NOUN
alkej-494	7	36	.	.	PUNCT
alkej-494	8	1	the	the	DET
alkej-494	8	2	present	present	ADJ
alkej-494	8	3	results	result	NOUN
alkej-494	8	4	were	be	AUX
alkej-494	8	5	compared	compare	VERB
alkej-494	8	6	with	with	ADP
alkej-494	8	7	those	those	PRON
alkej-494	8	8	obtained	obtain	VERB
alkej-494	8	9	by	by	ADP
alkej-494	8	10	other	other	ADJ
alkej-494	8	11	researchers	researcher	NOUN
alkej-494	8	12	,	,	PUNCT
alkej-494	8	13	and	and	CCONJ
alkej-494	8	14	show	show	VERB
alkej-494	8	15	good	good	ADJ
alkej-494	8	16	agreement	agreement	NOUN
alkej-494	8	17	.	.	PUNCT
alkej-494	9	1	keywords	keyword	NOUN
alkej-494	9	2	:	:	PUNCT
alkej-494	9	3	thermal	thermal	ADJ
alkej-494	9	4	buckling	buckling	NOUN
alkej-494	9	5	,	,	PUNCT
alkej-494	9	6	laminated	laminate	VERB
alkej-494	9	7	composite	composite	ADJ
alkej-494	9	8	plate	plate	NOUN
alkej-494	9	9	,	,	PUNCT
alkej-494	9	10	general	general	ADJ
alkej-494	9	11	boundary	boundary	ADJ
alkej-494	9	12	condition	condition	NOUN
alkej-494	9	13	,	,	PUNCT
alkej-494	9	14	ritz	ritz	PROPN
alkej-494	9	15	method	method	NOUN
alkej-494	9	16	.	.	PUNCT
alkej-494	10	1	1	1	X
alkej-494	10	2	.	.	X
alkej-494	10	3	introduction	introduction	NOUN
alkej-494	10	4	composite	composite	ADJ
alkej-494	10	5	materials	material	NOUN
alkej-494	10	6	are	be	AUX
alkej-494	10	7	widely	widely	ADV
alkej-494	10	8	employed	employ	VERB
alkej-494	10	9	in	in	ADP
alkej-494	10	10	many	many	ADJ
alkej-494	10	11	engineering	engineering	NOUN
alkej-494	10	12	disciplines	discipline	NOUN
alkej-494	10	13	applications	application	NOUN
alkej-494	10	14	in	in	ADP
alkej-494	10	15	mechanical	mechanical	ADJ
alkej-494	10	16	and	and	CCONJ
alkej-494	10	17	civil	civil	ADJ
alkej-494	10	18	engineering	engineering	NOUN
alkej-494	10	19	.	.	PUNCT
alkej-494	11	1	many	many	ADJ
alkej-494	11	2	have	have	AUX
alkej-494	11	3	been	be	AUX
alkej-494	11	4	researching	research	VERB
alkej-494	11	5	free	free	ADJ
alkej-494	11	6	vibration	vibration	NOUN
alkej-494	11	7	analysis	analysis	NOUN
alkej-494	11	8	under	under	ADP
alkej-494	11	9	initial	initial	ADJ
alkej-494	11	10	thermal	thermal	ADJ
alkej-494	11	11	load	load	NOUN
alkej-494	11	12	of	of	ADP
alkej-494	11	13	laminated	laminated	ADJ
alkej-494	11	14	composite	composite	ADJ
alkej-494	11	15	thin	thin	ADJ
alkej-494	11	16	and	and	CCONJ
alkej-494	11	17	thick	thick	ADJ
alkej-494	11	18	plates	plate	NOUN
alkej-494	11	19	,	,	PUNCT
alkej-494	11	20	but	but	CCONJ
alkej-494	11	21	the	the	DET
alkej-494	11	22	research	research	NOUN
alkej-494	11	23	has	have	AUX
alkej-494	11	24	been	be	AUX
alkej-494	11	25	focused	focus	VERB
alkej-494	11	26	on	on	ADP
alkej-494	11	27	some	some	DET
alkej-494	11	28	problems	problem	NOUN
alkej-494	11	29	that	that	PRON
alkej-494	11	30	include	include	VERB
alkej-494	11	31	a	a	DET
alkej-494	11	32	few	few	ADJ
alkej-494	11	33	forms	form	NOUN
alkej-494	11	34	of	of	ADP
alkej-494	11	35	boundary	boundary	ADJ
alkej-494	11	36	conditions	condition	NOUN
alkej-494	11	37	because	because	SCONJ
alkej-494	11	38	the	the	DET
alkej-494	11	39	rectangular	rectangular	ADJ
alkej-494	11	40	plates	plate	NOUN
alkej-494	11	41	have	have	VERB
alkej-494	11	42	55	55	NUM
alkej-494	11	43	forms	form	NOUN
alkej-494	11	44	of	of	ADP
alkej-494	11	45	boundary	boundary	ADJ
alkej-494	11	46	condition	condition	NOUN
alkej-494	11	47	therefore	therefore	ADV
alkej-494	11	48	the	the	DET
alkej-494	11	49	solution	solution	NOUN
alkej-494	11	50	procedure	procedure	NOUN
alkej-494	11	51	becomes	become	VERB
alkej-494	11	52	very	very	ADV
alkej-494	11	53	tedious	tedious	ADJ
alkej-494	11	54	when	when	SCONJ
alkej-494	11	55	use	use	NOUN
alkej-494	11	56	of	of	ADP
alkej-494	11	57	mode	mode	NOUN
alkej-494	11	58	shapes	shape	NOUN
alkej-494	11	59	as	as	ADP
alkej-494	11	60	the	the	DET
alkej-494	11	61	basis	basis	NOUN
alkej-494	11	62	functions	function	NOUN
alkej-494	11	63	,	,	PUNCT
alkej-494	11	64	that	that	PRON
alkej-494	11	65	’s	’	VERB
alkej-494	11	66	why	why	SCONJ
alkej-494	11	67	the	the	DET
alkej-494	11	68	former	former	ADJ
alkej-494	11	69	researchers	researcher	NOUN
alkej-494	11	70	have	have	AUX
alkej-494	11	71	been	be	AUX
alkej-494	11	72	used	use	VERB
alkej-494	11	73	at	at	ADP
alkej-494	11	74	opposite	opposite	ADJ
alkej-494	11	75	edges	edge	NOUN
alkej-494	11	76	of	of	ADP
alkej-494	11	77	one	one	NUM
alkej-494	11	78	pair	pair	NOUN
alkej-494	11	79	of	of	ADP
alkej-494	11	80	simply	simply	ADV
alkej-494	11	81	supported	support	VERB
alkej-494	11	82	and	and	CCONJ
alkej-494	11	83	clamped	clamp	VERB
alkej-494	11	84	,	,	PUNCT
alkej-494	11	85	so	so	ADV
alkej-494	11	86	with	with	ADP
alkej-494	11	87	general	general	ADJ
alkej-494	11	88	boundary	boundary	ADJ
alkej-494	11	89	conditions	condition	NOUN
alkej-494	11	90	one	one	PRON
alkej-494	11	91	may	may	AUX
alkej-494	11	92	have	have	VERB
alkej-494	11	93	to	to	PART
alkej-494	11	94	apply	apply	VERB
alkej-494	11	95	convergent	convergent	ADJ
alkej-494	11	96	methods	method	NOUN
alkej-494	11	97	like	like	ADP
alkej-494	11	98	rayleigh	rayleigh	PROPN
alkej-494	11	99	-	-	PUNCT
alkej-494	11	100	ritz	ritz	PROPN
alkej-494	11	101	,	,	PUNCT
alkej-494	11	102	the	the	DET
alkej-494	11	103	chosen	choose	VERB
alkej-494	11	104	of	of	ADP
alkej-494	11	105	suitable	suitable	ADJ
alkej-494	11	106	admissible	admissible	ADJ
alkej-494	11	107	functions	function	NOUN
alkej-494	11	108	is	be	AUX
alkej-494	11	109	of	of	ADP
alkej-494	11	110	high	high	ADJ
alkej-494	11	111	significance	significance	NOUN
alkej-494	11	112	when	when	SCONJ
alkej-494	11	113	applying	apply	VERB
alkej-494	11	114	the	the	DET
alkej-494	11	115	method	method	NOUN
alkej-494	11	116	of	of	ADP
alkej-494	11	117	rayleigh	rayleigh	PROPN
alkej-494	11	118	-	-	PUNCT
alkej-494	11	119	ritz	ritz	PROPN
alkej-494	11	120	due	due	ADP
alkej-494	11	121	to	to	ADP
alkej-494	11	122	precision	precision	NOUN
alkej-494	11	123	of	of	ADP
alkej-494	11	124	the	the	DET
alkej-494	11	125	results	result	NOUN
alkej-494	11	126	,	,	PUNCT
alkej-494	11	127	many	many	ADJ
alkej-494	11	128	investigations	investigation	NOUN
alkej-494	11	129	are	be	AUX
alkej-494	11	130	worked	work	VERB
alkej-494	11	131	about	about	ADP
alkej-494	11	132	thermal	thermal	ADJ
alkej-494	11	133	buckling	buckling	NOUN
alkej-494	11	134	of	of	ADP
alkej-494	11	135	laminated	laminated	ADJ
alkej-494	11	136	plate	plate	NOUN
alkej-494	11	137	by	by	ADP
alkej-494	11	138	using	use	VERB
alkej-494	11	139	classical	classical	ADJ
alkej-494	11	140	laminated	laminate	VERB
alkej-494	11	141	plate	plate	NOUN
alkej-494	11	142	theory	theory	NOUN
alkej-494	11	143	but	but	CCONJ
alkej-494	11	144	no	no	DET
alkej-494	11	145	one	one	NUM
alkej-494	11	146	studied	study	VERB
alkej-494	11	147	effect	effect	NOUN
alkej-494	11	148	of	of	ADP
alkej-494	11	149	general	general	ADJ
alkej-494	11	150	boundary	boundary	ADJ
alkej-494	11	151	conditions	condition	NOUN
alkej-494	11	152	analytically	analytically	ADV
alkej-494	11	153	.	.	PUNCT
alkej-494	12	1	random	random	ADJ
alkej-494	12	2	free	free	ADJ
alkej-494	12	3	vibrations	vibration	NOUN
alkej-494	12	4	under	under	ADP
alkej-494	12	5	the	the	DET
alkej-494	12	6	thermal	thermal	ADJ
alkej-494	12	7	loading	loading	NOUN
alkej-494	12	8	of	of	ADP
alkej-494	12	9	laminated	laminate	VERB
alkej-494	12	10	composite	composite	ADJ
alkej-494	12	11	plates	plate	NOUN
alkej-494	12	12	with	with	ADP
alkej-494	12	13	all	all	DET
alkej-494	12	14	boundary	boundary	ADJ
alkej-494	12	15	conditions	condition	NOUN
alkej-494	12	16	was	be	AUX
alkej-494	12	17	studied	study	VERB
alkej-494	12	18	at	at	ADP
alkej-494	12	19	[	[	X
alkej-494	12	20	1	1	NUM
alkej-494	12	21	]	]	PUNCT
alkej-494	12	22	,	,	PUNCT
alkej-494	12	23	the	the	DET
alkej-494	12	24	randomness	randomness	NOUN
alkej-494	12	25	in	in	ADP
alkej-494	12	26	lamina	lamina	ADJ
alkej-494	12	27	coefficients	coefficient	NOUN
alkej-494	12	28	of	of	ADP
alkej-494	12	29	thermal	thermal	ADJ
alkej-494	12	30	expansion	expansion	NOUN
alkej-494	12	31	and	and	CCONJ
alkej-494	12	32	material	material	NOUN
alkej-494	12	33	properties	property	NOUN
alkej-494	12	34	are	be	AUX
alkej-494	12	35	taking	take	VERB
alkej-494	12	36	into	into	ADP
alkej-494	12	37	consideration	consideration	NOUN
alkej-494	12	38	.	.	PUNCT
alkej-494	13	1	based	base	VERB
alkej-494	13	2	on	on	ADP
alkej-494	13	3	higher	high	ADJ
alkej-494	13	4	-	-	PUNCT
alkej-494	13	5	order	order	NOUN
alkej-494	13	6	shear	shear	NOUN
alkej-494	13	7	deformation	deformation	NOUN
alkej-494	13	8	theory	theory	NOUN
alkej-494	13	9	the	the	DET
alkej-494	13	10	system	system	NOUN
alkej-494	13	11	equations	equation	NOUN
alkej-494	13	12	have	have	AUX
alkej-494	13	13	been	be	AUX
alkej-494	13	14	derived	derive	VERB
alkej-494	13	15	,	,	PUNCT
alkej-494	13	16	incorporating	incorporate	VERB
alkej-494	13	17	rotary	rotary	NOUN
alkej-494	13	18	inertia	inertia	NOUN
alkej-494	13	19	effects	effect	NOUN
alkej-494	13	20	.	.	PUNCT
alkej-494	14	1	for	for	ADP
alkej-494	14	2	handling	handle	VERB
alkej-494	14	3	the	the	DET
alkej-494	14	4	random	random	ADJ
alkej-494	14	5	eigen	eigen	PROPN
alkej-494	14	6	value	value	NOUN
alkej-494	14	7	problem	problem	NOUN
alkej-494	14	8	,	,	PUNCT
alkej-494	14	9	the	the	DET
alkej-494	14	10	finite	finite	PROPN
alkej-494	14	11	element	element	NOUN
alkej-494	14	12	method	method	NOUN
alkej-494	14	13	is	be	AUX
alkej-494	14	14	applied	apply	VERB
alkej-494	14	15	.	.	PUNCT
alkej-494	15	1	the	the	DET
alkej-494	15	2	research	research	NOUN
alkej-494	15	3	transacted	transact	VERB
alkej-494	15	4	for	for	ADP
alkej-494	15	5	together	together	ADV
alkej-494	15	6	numerical	numerical	ADJ
alkej-494	15	7	and	and	CCONJ
alkej-494	15	8	experimental	experimental	ADJ
alkej-494	15	9	examinations	examination	NOUN
alkej-494	15	10	of	of	ADP
alkej-494	15	11	the	the	DET
alkej-494	15	12	free	free	ADJ
alkej-494	15	13	vibration	vibration	NOUN
alkej-494	15	14	behavior	behavior	NOUN
alkej-494	15	15	under	under	ADP
alkej-494	15	16	different	different	ADJ
alkej-494	15	17	moisture	moisture	NOUN
alkej-494	15	18	and	and	CCONJ
alkej-494	15	19	temperature	temperature	NOUN
alkej-494	15	20	of	of	ADP
alkej-494	15	21	composite	composite	ADJ
alkej-494	15	22	laminated	laminate	VERB
alkej-494	15	23	plates	plate	NOUN
alkej-494	15	24	presented	present	VERB
alkej-494	15	25	at	at	ADP
alkej-494	15	26	[	[	X
alkej-494	15	27	9	9	NUM
alkej-494	15	28	]	]	PUNCT
alkej-494	15	29	.	.	PUNCT
alkej-494	16	1	the	the	DET
alkej-494	16	2	governing	govern	VERB
alkej-494	16	3	equations	equation	NOUN
alkej-494	16	4	have	have	AUX
alkej-494	16	5	been	be	AUX
alkej-494	16	6	found	find	VERB
alkej-494	16	7	based	base	VERB
alkej-494	16	8	on	on	ADP
alkej-494	16	9	first	first	ADJ
alkej-494	16	10	-	-	PUNCT
alkej-494	16	11	order	order	NOUN
alkej-494	16	12	mohammed	mohammed	PROPN
alkej-494	16	13	b.	b.	PROPN
alkej-494	16	14	hammed	hammed	PROPN
alkej-494	16	15	al	al	PROPN
alkej-494	16	16	-	-	PUNCT
alkej-494	16	17	khwarizmi	khwarizmi	PROPN
alkej-494	16	18	engineering	engineering	NOUN
alkej-494	16	19	journal	journal	PROPN
alkej-494	16	20	,	,	PUNCT
alkej-494	16	21	vol	vol	NOUN
alkej-494	16	22	.	.	PROPN
alkej-494	16	23	15	15	NUM
alkej-494	16	24	,	,	PUNCT
alkej-494	16	25	no	no	INTJ
alkej-494	16	26	.	.	NOUN
alkej-494	16	27	4	4	NUM
alkej-494	16	28	,	,	PUNCT
alkej-494	16	29	p.p	p.p	PROPN
alkej-494	16	30	.	.	NOUN
alkej-494	16	31	2332	2332	NUM
alkej-494	16	32	(	(	PUNCT
alkej-494	16	33	2019	2019	NUM
alkej-494	16	34	)	)	PUNCT
alkej-494	16	35	24	24	NUM
alkej-494	16	36	shear	shear	NOUN
alkej-494	16	37	deformation	deformation	NOUN
alkej-494	16	38	theory	theory	NOUN
alkej-494	16	39	(	(	PUNCT
alkej-494	16	40	fsdt	fsdt	NOUN
alkej-494	16	41	)	)	PUNCT
alkej-494	16	42	for	for	ADP
alkej-494	16	43	the	the	DET
alkej-494	16	44	behavior	behavior	NOUN
alkej-494	16	45	structural	structural	ADJ
alkej-494	16	46	of	of	ADP
alkej-494	16	47	the	the	DET
alkej-494	16	48	composite	composite	ADJ
alkej-494	16	49	laminated	laminate	VERB
alkej-494	16	50	plates	plate	NOUN
alkej-494	16	51	.	.	PUNCT
alkej-494	17	1	quantitative	quantitative	ADJ
alkej-494	17	2	results	result	NOUN
alkej-494	17	3	are	be	AUX
alkej-494	17	4	shown	show	VERB
alkej-494	17	5	to	to	PART
alkej-494	17	6	present	present	VERB
alkej-494	17	7	the	the	DET
alkej-494	17	8	parameters	parameter	NOUN
alkej-494	17	9	’	’	PART
alkej-494	17	10	influence	influence	NOUN
alkej-494	17	11	of	of	ADP
alkej-494	17	12	woven	weave	VERB
alkej-494	17	13	fiber	fiber	NOUN
alkej-494	17	14	laminate	laminate	NOUN
alkej-494	17	15	of	of	ADP
alkej-494	17	16	(	(	PUNCT
alkej-494	17	17	material	material	NOUN
alkej-494	17	18	,	,	PUNCT
alkej-494	17	19	geometry	geometry	NOUN
alkej-494	17	20	,	,	PUNCT
alkej-494	17	21	and	and	CCONJ
alkej-494	17	22	lamination	lamination	NOUN
alkej-494	17	23	)	)	PUNCT
alkej-494	17	24	on	on	ADP
alkej-494	17	25	the	the	DET
alkej-494	17	26	free	free	ADJ
alkej-494	17	27	vibration	vibration	NOUN
alkej-494	17	28	of	of	ADP
alkej-494	17	29	composite	composite	ADJ
alkej-494	17	30	plates	plate	NOUN
alkej-494	17	31	for	for	ADP
alkej-494	17	32	varying	vary	VERB
alkej-494	17	33	moisture	moisture	NOUN
alkej-494	17	34	and	and	CCONJ
alkej-494	17	35	temperature	temperature	NOUN
alkej-494	17	36	concentrations	concentration	NOUN
alkej-494	17	37	.	.	PUNCT
alkej-494	18	1	the	the	DET
alkej-494	18	2	vibration	vibration	NOUN
alkej-494	18	3	and	and	CCONJ
alkej-494	18	4	buckling	buckling	NOUN
alkej-494	18	5	of	of	ADP
alkej-494	18	6	initially	initially	ADV
alkej-494	18	7	thermal	thermal	ADJ
alkej-494	18	8	stressed	stress	VERB
alkej-494	18	9	composite	composite	ADJ
alkej-494	18	10	plates	plate	NOUN
alkej-494	18	11	with	with	ADP
alkej-494	18	12	material	material	NOUN
alkej-494	18	13	properties	property	NOUN
alkej-494	18	14	dependent	dependent	ADJ
alkej-494	18	15	on	on	ADP
alkej-494	18	16	temperature	temperature	NOUN
alkej-494	18	17	was	be	AUX
alkej-494	18	18	presented	present	VERB
alkej-494	18	19	at	at	ADP
alkej-494	18	20	[	[	X
alkej-494	18	21	3	3	NUM
alkej-494	18	22	]	]	PUNCT
alkej-494	18	23	.	.	PUNCT
alkej-494	19	1	using	use	VERB
alkej-494	19	2	the	the	DET
alkej-494	19	3	variation	variation	NOUN
alkej-494	19	4	method	method	NOUN
alkej-494	19	5	,	,	PUNCT
alkej-494	19	6	the	the	DET
alkej-494	19	7	governing	govern	VERB
alkej-494	19	8	equations	equation	NOUN
alkej-494	19	9	have	have	AUX
alkej-494	19	10	been	be	AUX
alkej-494	19	11	found	find	VERB
alkej-494	19	12	including	include	VERB
alkej-494	19	13	the	the	DET
alkej-494	19	14	transverse	transverse	ADJ
alkej-494	19	15	shear	shear	NOUN
alkej-494	19	16	deformation	deformation	NOUN
alkej-494	19	17	influences	influence	NOUN
alkej-494	19	18	.	.	PUNCT
alkej-494	20	1	the	the	DET
alkej-494	20	2	influences	influence	NOUN
alkej-494	20	3	of	of	ADP
alkej-494	20	4	different	different	ADJ
alkej-494	20	5	parameters	parameter	NOUN
alkej-494	20	6	on	on	ADP
alkej-494	20	7	the	the	DET
alkej-494	20	8	vibration	vibration	NOUN
alkej-494	20	9	and	and	CCONJ
alkej-494	20	10	buckling	buckling	NOUN
alkej-494	20	11	behaviors	behavior	NOUN
alkej-494	20	12	of	of	ADP
alkej-494	20	13	laminated	laminated	ADJ
alkej-494	20	14	plates	plate	NOUN
alkej-494	20	15	are	be	AUX
alkej-494	20	16	investigated	investigate	VERB
alkej-494	20	17	with	with	ADP
alkej-494	20	18	respect	respect	NOUN
alkej-494	20	19	to	to	ADP
alkej-494	20	20	the	the	DET
alkej-494	20	21	material	material	NOUN
alkej-494	20	22	properties	property	NOUN
alkej-494	20	23	that	that	PRON
alkej-494	20	24	are	be	AUX
alkej-494	20	25	dependent	dependent	ADJ
alkej-494	20	26	on	on	ADP
alkej-494	20	27	temperature	temperature	NOUN
alkej-494	20	28	.	.	PUNCT
alkej-494	21	1	the	the	DET
alkej-494	21	2	distribution	distribution	NOUN
alkej-494	21	3	temperature	temperature	NOUN
alkej-494	21	4	is	be	AUX
alkej-494	21	5	supposed	suppose	VERB
alkej-494	21	6	to	to	PART
alkej-494	21	7	be	be	AUX
alkej-494	21	8	linear	linear	ADJ
alkej-494	21	9	and	and	CCONJ
alkej-494	21	10	uniform	uniform	ADJ
alkej-494	21	11	on	on	ADP
alkej-494	21	12	the	the	DET
alkej-494	21	13	plate	plate	NOUN
alkej-494	21	14	in	in	ADP
alkej-494	21	15	the	the	DET
alkej-494	21	16	transverse	transverse	NOUN
alkej-494	21	17	direction	direction	NOUN
alkej-494	21	18	.	.	PUNCT
alkej-494	22	1	[	[	X
alkej-494	22	2	15	15	NUM
alkej-494	22	3	]	]	X
alkej-494	22	4	focused	focus	VERB
alkej-494	22	5	on	on	ADP
alkej-494	22	6	the	the	DET
alkej-494	22	7	vibro	vibro	NOUN
alkej-494	22	8	-	-	PUNCT
alkej-494	22	9	acoustic	acoustic	ADJ
alkej-494	22	10	response	response	NOUN
alkej-494	22	11	and	and	CCONJ
alkej-494	22	12	buckling	buckling	NOUN
alkej-494	22	13	of	of	ADP
alkej-494	22	14	the	the	DET
alkej-494	22	15	clamped	clamp	VERB
alkej-494	22	16	laminated	laminate	VERB
alkej-494	22	17	composite	composite	ADJ
alkej-494	22	18	plate	plate	NOUN
alkej-494	22	19	induced	induce	VERB
alkej-494	22	20	by	by	ADP
alkej-494	22	21	a	a	DET
alkej-494	22	22	harmonic	harmonic	ADJ
alkej-494	22	23	concentrated	concentrated	ADJ
alkej-494	22	24	force	force	NOUN
alkej-494	22	25	in	in	ADP
alkej-494	22	26	the	the	DET
alkej-494	22	27	thermal	thermal	ADJ
alkej-494	22	28	environment	environment	NOUN
alkej-494	22	29	.	.	PUNCT
alkej-494	23	1	for	for	ADP
alkej-494	23	2	acoustic	acoustic	ADJ
alkej-494	23	3	response	response	NOUN
alkej-494	23	4	and	and	CCONJ
alkej-494	23	5	vibration	vibration	NOUN
alkej-494	23	6	,	,	PUNCT
alkej-494	23	7	the	the	DET
alkej-494	23	8	analytical	analytical	ADJ
alkej-494	23	9	solution	solution	NOUN
alkej-494	23	10	has	have	AUX
alkej-494	23	11	been	be	AUX
alkej-494	23	12	derived	derive	VERB
alkej-494	23	13	for	for	ADP
alkej-494	23	14	a	a	DET
alkej-494	23	15	fully	fully	ADV
alkej-494	23	16	clamped	clamp	VERB
alkej-494	23	17	boundary	boundary	ADJ
alkej-494	23	18	condition	condition	NOUN
alkej-494	23	19	.	.	PUNCT
alkej-494	24	1	meantime	meantime	ADV
alkej-494	24	2	,	,	PUNCT
alkej-494	24	3	the	the	DET
alkej-494	24	4	buckling	buckle	VERB
alkej-494	24	5	temperatures	temperature	NOUN
alkej-494	24	6	and	and	CCONJ
alkej-494	24	7	natural	natural	ADJ
alkej-494	24	8	frequencies	frequency	NOUN
alkej-494	24	9	of	of	ADP
alkej-494	24	10	the	the	DET
alkej-494	24	11	plate	plate	NOUN
alkej-494	24	12	in	in	ADP
alkej-494	24	13	the	the	DET
alkej-494	24	14	uniform	uniform	ADJ
alkej-494	24	15	temperature	temperature	NOUN
alkej-494	24	16	environment	environment	NOUN
alkej-494	24	17	are	be	AUX
alkej-494	24	18	also	also	ADV
alkej-494	24	19	established	establish	VERB
alkej-494	24	20	by	by	ADP
alkej-494	24	21	utilizing	utilize	VERB
alkej-494	24	22	the	the	DET
alkej-494	24	23	first	first	ADJ
alkej-494	24	24	-	-	PUNCT
alkej-494	24	25	order	order	NOUN
alkej-494	24	26	shear	shear	NOUN
alkej-494	24	27	deformation	deformation	NOUN
alkej-494	24	28	theory	theory	NOUN
alkej-494	24	29	(	(	PUNCT
alkej-494	24	30	fosdt	fosdt	NOUN
alkej-494	24	31	)	)	PUNCT
alkej-494	24	32	and	and	CCONJ
alkej-494	24	33	classical	classical	ADJ
alkej-494	24	34	laminate	laminate	NOUN
alkej-494	24	35	theory	theory	NOUN
alkej-494	24	36	(	(	PUNCT
alkej-494	24	37	clt	clt	PROPN
alkej-494	24	38	)	)	PUNCT
alkej-494	24	39	.	.	PUNCT
alkej-494	25	1	[	[	X
alkej-494	25	2	5	5	X
alkej-494	25	3	]	]	PUNCT
alkej-494	25	4	presented	present	VERB
alkej-494	25	5	the	the	DET
alkej-494	25	6	influence	influence	NOUN
alkej-494	25	7	of	of	ADP
alkej-494	25	8	hydrothermal	hydrothermal	ADJ
alkej-494	25	9	conditions	condition	NOUN
alkej-494	25	10	such	such	ADJ
alkej-494	25	11	as	as	ADP
alkej-494	25	12	moisture	moisture	NOUN
alkej-494	25	13	and	and	CCONJ
alkej-494	25	14	temperature	temperature	NOUN
alkej-494	25	15	on	on	ADP
alkej-494	25	16	buckling	buckle	VERB
alkej-494	25	17	load	load	NOUN
alkej-494	25	18	and	and	CCONJ
alkej-494	25	19	free	free	ADJ
alkej-494	25	20	vibration	vibration	NOUN
alkej-494	25	21	frequency	frequency	NOUN
alkej-494	25	22	of	of	ADP
alkej-494	25	23	laminated	laminate	VERB
alkej-494	25	24	composite	composite	ADJ
alkej-494	25	25	plates	plate	NOUN
alkej-494	25	26	.	.	PUNCT
alkej-494	26	1	to	to	PART
alkej-494	26	2	determine	determine	VERB
alkej-494	26	3	the	the	DET
alkej-494	26	4	critical	critical	ADJ
alkej-494	26	5	load	load	NOUN
alkej-494	26	6	of	of	ADP
alkej-494	26	7	the	the	DET
alkej-494	26	8	plate	plate	NOUN
alkej-494	26	9	,	,	PUNCT
alkej-494	26	10	the	the	DET
alkej-494	26	11	finite	finite	PROPN
alkej-494	26	12	strip	strip	PROPN
alkej-494	26	13	method	method	NOUN
alkej-494	26	14	based	base	VERB
alkej-494	26	15	on	on	ADP
alkej-494	26	16	first	first	ADJ
alkej-494	26	17	-	-	PUNCT
alkej-494	26	18	order	order	NOUN
alkej-494	26	19	shear	shear	NOUN
alkej-494	26	20	deformation	deformation	NOUN
alkej-494	26	21	theory	theory	NOUN
alkej-494	26	22	(	(	PUNCT
alkej-494	26	23	fosdt	fosdt	NOUN
alkej-494	26	24	)	)	PUNCT
alkej-494	26	25	was	be	AUX
alkej-494	26	26	applied	apply	VERB
alkej-494	26	27	to	to	PART
alkej-494	26	28	estimate	estimate	VERB
alkej-494	26	29	the	the	DET
alkej-494	26	30	displacement	displacement	ADJ
alkej-494	26	31	field	field	NOUN
alkej-494	26	32	of	of	ADP
alkej-494	26	33	each	each	DET
alkej-494	26	34	strip	strip	NOUN
alkej-494	26	35	in	in	ADP
alkej-494	26	36	the	the	DET
alkej-494	26	37	finite	finite	PROPN
alkej-494	26	38	strip	strip	PROPN
alkej-494	26	39	formulation	formulation	NOUN
alkej-494	26	40	.	.	PUNCT
alkej-494	27	1	linear	linear	ADJ
alkej-494	27	2	shape	shape	NOUN
alkej-494	27	3	functions	function	NOUN
alkej-494	27	4	and	and	CCONJ
alkej-494	27	5	the	the	DET
alkej-494	27	6	hermitian	hermitian	ADJ
alkej-494	27	7	method	method	NOUN
alkej-494	27	8	were	be	AUX
alkej-494	27	9	applied	apply	VERB
alkej-494	27	10	for	for	ADP
alkej-494	27	11	in	in	ADP
alkej-494	27	12	-	-	PUNCT
alkej-494	27	13	plane	plane	NOUN
alkej-494	27	14	and	and	CCONJ
alkej-494	27	15	out	out	NOUN
alkej-494	27	16	–	–	PUNCT
alkej-494	27	17	of	of	ADP
alkej-494	27	18	–	–	PUNCT
alkej-494	27	19	plane	plane	NOUN
alkej-494	27	20	transverse	transverse	NOUN
alkej-494	27	21	direction	direction	NOUN
alkej-494	27	22	and	and	CCONJ
alkej-494	27	23	the	the	DET
alkej-494	27	24	trigonometric	trigonometric	ADJ
alkej-494	27	25	shape	shape	NOUN
alkej-494	27	26	functions	function	NOUN
alkej-494	27	27	were	be	AUX
alkej-494	27	28	applied	apply	VERB
alkej-494	27	29	in	in	ADP
alkej-494	27	30	the	the	DET
alkej-494	27	31	longitudinal	longitudinal	ADJ
alkej-494	27	32	direction	direction	NOUN
alkej-494	27	33	.	.	PUNCT
alkej-494	28	1	the	the	DET
alkej-494	28	2	effect	effect	NOUN
alkej-494	28	3	of	of	ADP
alkej-494	28	4	a	a	DET
alkej-494	28	5	variable	variable	NOUN
alkej-494	28	6	in	in	ADP
alkej-494	28	7	material	material	NOUN
alkej-494	28	8	properties	property	NOUN
alkej-494	28	9	under	under	ADP
alkej-494	28	10	different	different	ADJ
alkej-494	28	11	moisture	moisture	NOUN
alkej-494	28	12	and	and	CCONJ
alkej-494	28	13	temperature	temperature	NOUN
alkej-494	28	14	on	on	ADP
alkej-494	28	15	natural	natural	ADJ
alkej-494	28	16	frequency	frequency	NOUN
alkej-494	28	17	and	and	CCONJ
alkej-494	28	18	buckling	buckling	NOUN
alkej-494	28	19	capacity	capacity	NOUN
alkej-494	28	20	was	be	AUX
alkej-494	28	21	estimated	estimate	VERB
alkej-494	28	22	of	of	ADP
alkej-494	28	23	plates	plate	NOUN
alkej-494	28	24	with	with	ADP
alkej-494	28	25	various	various	ADJ
alkej-494	28	26	biaxial	biaxial	NOUN
alkej-494	28	27	loading	loading	NOUN
alkej-494	28	28	and	and	CCONJ
alkej-494	28	29	end	end	VERB
alkej-494	28	30	conditions	condition	NOUN
alkej-494	28	31	,	,	PUNCT
alkej-494	28	32	as	as	ADV
alkej-494	28	33	well	well	ADV
alkej-494	28	34	as	as	ADP
alkej-494	28	35	,	,	PUNCT
alkej-494	28	36	the	the	DET
alkej-494	28	37	influence	influence	NOUN
alkej-494	28	38	of	of	ADP
alkej-494	28	39	the	the	DET
alkej-494	28	40	layer	layer	NOUN
alkej-494	28	41	's	's	PART
alkej-494	28	42	delamination	delamination	NOUN
alkej-494	28	43	on	on	ADP
alkej-494	28	44	natural	natural	ADJ
alkej-494	28	45	frequency	frequency	NOUN
alkej-494	28	46	and	and	CCONJ
alkej-494	28	47	buckling	buckling	NOUN
alkej-494	28	48	load	load	NOUN
alkej-494	28	49	of	of	ADP
alkej-494	28	50	the	the	DET
alkej-494	28	51	plate	plate	NOUN
alkej-494	28	52	was	be	AUX
alkej-494	28	53	researched	research	VERB
alkej-494	28	54	in	in	ADP
alkej-494	28	55	various	various	ADJ
alkej-494	28	56	cases	case	NOUN
alkej-494	28	57	.	.	PUNCT
alkej-494	29	1	[	[	X
alkej-494	29	2	10	10	NUM
alkej-494	29	3	]	]	PUNCT
alkej-494	29	4	presented	present	VERB
alkej-494	29	5	the	the	DET
alkej-494	29	6	modal	modal	ADJ
alkej-494	29	7	analysis	analysis	NOUN
alkej-494	29	8	of	of	ADP
alkej-494	29	9	composite	composite	ADJ
alkej-494	29	10	laminated	laminate	VERB
alkej-494	29	11	structures	structure	NOUN
alkej-494	29	12	subjected	subject	VERB
alkej-494	29	13	to	to	ADP
alkej-494	29	14	thermal	thermal	ADJ
alkej-494	29	15	effect	effect	NOUN
alkej-494	29	16	.	.	PUNCT
alkej-494	30	1	a	a	DET
alkej-494	30	2	green	green	ADJ
alkej-494	30	3	–	–	PUNCT
alkej-494	30	4	lagrange	lagrange	NOUN
alkej-494	30	5	nonlinear	nonlinear	ADJ
alkej-494	30	6	finite	finite	PROPN
alkej-494	30	7	element	element	NOUN
alkej-494	30	8	(	(	PUNCT
alkej-494	30	9	fe	fe	NOUN
alkej-494	30	10	)	)	PUNCT
alkej-494	30	11	model	model	NOUN
alkej-494	30	12	has	have	AUX
alkej-494	30	13	been	be	AUX
alkej-494	30	14	advanced	advance	VERB
alkej-494	30	15	according	accord	VERB
alkej-494	30	16	to	to	ADP
alkej-494	30	17	the	the	DET
alkej-494	30	18	tsdt	tsdt	NOUN
alkej-494	30	19	(	(	PUNCT
alkej-494	30	20	third	third	ADJ
alkej-494	30	21	-	-	PUNCT
alkej-494	30	22	order	order	NOUN
alkej-494	30	23	shear	shear	NOUN
alkej-494	30	24	deformation	deformation	NOUN
alkej-494	30	25	theory	theory	NOUN
alkej-494	30	26	)	)	PUNCT
alkej-494	30	27	for	for	ADP
alkej-494	30	28	the	the	DET
alkej-494	30	29	analysis	analysis	NOUN
alkej-494	30	30	.	.	PUNCT
alkej-494	31	1	most	most	ADJ
alkej-494	31	2	of	of	ADP
alkej-494	31	3	the	the	DET
alkej-494	31	4	research	research	NOUN
alkej-494	31	5	mentioned	mention	VERB
alkej-494	31	6	above	above	ADV
alkej-494	31	7	has	have	AUX
alkej-494	31	8	dealt	deal	VERB
alkej-494	31	9	with	with	ADP
alkej-494	31	10	the	the	DET
alkej-494	31	11	composite	composite	ADJ
alkej-494	31	12	plates	plate	NOUN
alkej-494	31	13	within	within	ADP
alkej-494	31	14	specific	specific	ADJ
alkej-494	31	15	boundary	boundary	ADJ
alkej-494	31	16	condition	condition	NOUN
alkej-494	31	17	,	,	PUNCT
alkej-494	31	18	but	but	CCONJ
alkej-494	31	19	in	in	ADP
alkej-494	31	20	this	this	DET
alkej-494	31	21	research	research	NOUN
alkej-494	31	22	,	,	PUNCT
alkej-494	31	23	we	we	PRON
alkej-494	31	24	will	will	AUX
alkej-494	31	25	deal	deal	VERB
alkej-494	31	26	with	with	ADP
alkej-494	31	27	the	the	DET
alkej-494	31	28	general	general	ADJ
alkej-494	31	29	boundary	boundary	ADJ
alkej-494	31	30	condition	condition	NOUN
alkej-494	31	31	of	of	ADP
alkej-494	31	32	composite	composite	ADJ
alkej-494	31	33	plates	plate	NOUN
alkej-494	31	34	.	.	PUNCT
alkej-494	32	1	the	the	DET
alkej-494	32	2	present	present	ADJ
alkej-494	32	3	work	work	NOUN
alkej-494	32	4	investigates	investigate	VERB
alkej-494	32	5	the	the	DET
alkej-494	32	6	free	free	ADJ
alkej-494	32	7	vibration	vibration	NOUN
alkej-494	32	8	analysis	analysis	NOUN
alkej-494	32	9	under	under	ADP
alkej-494	32	10	effect	effect	NOUN
alkej-494	32	11	of	of	ADP
alkej-494	32	12	critical	critical	ADJ
alkej-494	32	13	buckling	buckling	NOUN
alkej-494	32	14	temperature	temperature	NOUN
alkej-494	32	15	of	of	ADP
alkej-494	32	16	laminated	laminated	ADJ
alkej-494	32	17	composite	composite	ADJ
alkej-494	32	18	thin	thin	ADJ
alkej-494	32	19	plate	plate	NOUN
alkej-494	32	20	with	with	ADP
alkej-494	32	21	general	general	ADJ
alkej-494	32	22	boundary	boundary	ADJ
alkej-494	32	23	condition	condition	NOUN
alkej-494	32	24	,	,	PUNCT
alkej-494	32	25	based	base	VERB
alkej-494	32	26	on	on	ADP
alkej-494	32	27	classical	classical	ADJ
alkej-494	32	28	laminated	laminate	VERB
alkej-494	32	29	plate	plate	NOUN
alkej-494	32	30	theory	theory	NOUN
alkej-494	32	31	and	and	CCONJ
alkej-494	32	32	using	use	VERB
alkej-494	32	33	rayleigh	rayleigh	PROPN
alkej-494	32	34	–	–	PUNCT
alkej-494	32	35	ritz	ritz	PROPN
alkej-494	32	36	method	method	NOUN
alkej-494	32	37	,	,	PUNCT
alkej-494	32	38	the	the	DET
alkej-494	32	39	displacement	displacement	NOUN
alkej-494	32	40	function	function	NOUN
alkej-494	32	41	as	as	ADP
alkej-494	32	42	fourier	fourier	ADJ
alkej-494	32	43	cosine	cosine	NOUN
alkej-494	32	44	series	series	NOUN
alkej-494	32	45	,	,	PUNCT
alkej-494	32	46	plus	plus	CCONJ
alkej-494	32	47	,	,	PUNCT
alkej-494	32	48	an	an	DET
alkej-494	32	49	arbitrary	arbitrary	ADJ
alkej-494	32	50	continuous	continuous	ADJ
alkej-494	32	51	function	function	NOUN
alkej-494	32	52	proposed	propose	VERB
alkej-494	32	53	by	by	ADP
alkej-494	32	54	[	[	X
alkej-494	32	55	15	15	NUM
alkej-494	32	56	]	]	PUNCT
alkej-494	32	57	for	for	ADP
alkej-494	32	58	first	first	ADJ
alkej-494	32	59	time	time	NOUN
alkej-494	32	60	,	,	PUNCT
alkej-494	32	61	so	so	CCONJ
alkej-494	32	62	the	the	DET
alkej-494	32	63	effect	effect	NOUN
alkej-494	32	64	of	of	ADP
alkej-494	32	65	angle	angle	NOUN
alkej-494	32	66	-	-	PUNCT
alkej-494	32	67	ply	ply	NOUN
alkej-494	32	68	orientation	orientation	NOUN
alkej-494	32	69	,	,	PUNCT
alkej-494	32	70	boundary	boundary	ADJ
alkej-494	32	71	conditions	condition	NOUN
alkej-494	32	72	,	,	PUNCT
alkej-494	32	73	aspect	aspect	NOUN
alkej-494	32	74	ratio	ratio	NOUN
alkej-494	32	75	,	,	PUNCT
alkej-494	32	76	and	and	CCONJ
alkej-494	32	77	different	different	ADJ
alkej-494	32	78	composite	composite	ADJ
alkej-494	32	79	materials	material	NOUN
alkej-494	32	80	properties	property	NOUN
alkej-494	32	81	are	be	AUX
alkej-494	32	82	examined	examine	VERB
alkej-494	32	83	.	.	PUNCT
alkej-494	33	1	2	2	X
alkej-494	33	2	.	.	X
alkej-494	33	3	theoretical	theoretical	ADJ
alkej-494	33	4	analysis	analysis	NOUN
alkej-494	33	5	2.1	2.1	NUM
alkej-494	33	6	classical	classical	ADJ
alkej-494	33	7	laminated	laminate	VERB
alkej-494	33	8	plate	plate	NOUN
alkej-494	33	9	theory	theory	NOUN
alkej-494	33	10	governing	govern	VERB
alkej-494	33	11	differential	differential	ADJ
alkej-494	33	12	equation	equation	NOUN
alkej-494	33	13	of	of	ADP
alkej-494	33	14	laminated	laminate	VERB
alkej-494	33	15	thin	thin	ADJ
alkej-494	33	16	plate	plate	NOUN
alkej-494	33	17	based	base	VERB
alkej-494	33	18	on	on	ADP
alkej-494	33	19	classical	classical	ADJ
alkej-494	33	20	laminated	laminate	VERB
alkej-494	33	21	plate	plate	NOUN
alkej-494	33	22	theory	theory	NOUN
alkej-494	33	23	(	(	PUNCT
alkej-494	33	24	clpt	clpt	ADJ
alkej-494	33	25	)	)	PUNCT
alkej-494	33	26	,	,	PUNCT
alkej-494	33	27	for	for	ADP
alkej-494	33	28	natural	natural	ADJ
alkej-494	33	29	vibration	vibration	NOUN
alkej-494	33	30	under	under	ADP
alkej-494	33	31	thermal	thermal	ADJ
alkej-494	33	32	buckling	buckling	NOUN
alkej-494	33	33	load	load	NOUN
alkej-494	33	34	is	be	AUX
alkej-494	33	35	written	write	VERB
alkej-494	33	36	as	as	ADP
alkej-494	33	37	;	;	PUNCT
alkej-494	33	38	[	[	X
alkej-494	33	39	4	4	NUM
alkej-494	33	40	]	]	PUNCT
alkej-494	33	41	.	.	PUNCT
alkej-494	34	1	d	d	X
alkej-494	34	2	�	�	PROPN
alkej-494	34	3	�	�	PROPN
alkej-494	34	4	∂	∂	SYM
alkej-494	34	5	�	�	PROPN
alkej-494	34	6	w∂x	w∂x	PROPN
alkej-494	34	7	�	�	PROPN
alkej-494	34	8	+	+	CCONJ
alkej-494	34	9	�	�	PROPN
alkej-494	34	10	2d	2d	PROPN
alkej-494	34	11	�	�	PROPN
alkej-494	34	12	+	+	CCONJ
alkej-494	34	13	4d	4d	NUM
alkej-494	34	14	�	�	PROPN
alkej-494	34	15	�	�	PROPN
alkej-494	34	16	∂	∂	SYM
alkej-494	34	17	�	�	PROPN
alkej-494	34	18	w∂x	w∂x	NOUN
alkej-494	34	19	∂y	∂y	NOUN
alkej-494	35	1	+	+	CCONJ
alkej-494	35	2	d	d	PROPN
alkej-494	35	3	∂	∂	NUM
alkej-494	35	4	�	�	PROPN
alkej-494	35	5	w∂x	w∂x	PROPN
alkej-494	35	6	�	�	PROPN
alkej-494	35	7	+	+	CCONJ
alkej-494	35	8	4d	4d	PROPN
alkej-494	35	9	�	�	PROPN
alkej-494	35	10	∂	∂	SYM
alkej-494	35	11	�	�	PROPN
alkej-494	35	12	w∂x	w∂x	NOUN
alkej-494	35	13	∂y	∂y	SYM
alkej-494	35	14	�	�	PROPN
alkej-494	35	15	+	+	CCONJ
alkej-494	35	16	4d	4d	NUM
alkej-494	35	17	�	�	PROPN
alkej-494	35	18	�	�	PROPN
alkej-494	35	19	∂	∂	NUM
alkej-494	35	20	�	�	PROPN
alkej-494	35	21	w∂x	w∂x	PROPN
alkej-494	35	22	�	�	PROPN
alkej-494	35	23	∂y	∂y	SYM
alkej-494	35	24	+	+	CCONJ
alkej-494	35	25	n	n	CCONJ
alkej-494	35	26	�	�	PROPN
alkej-494	35	27	�	�	PROPN
alkej-494	35	28	∂	∂	NUM
alkej-494	35	29	w∂x	w∂x	NOUN
alkej-494	35	30	+	+	CCONJ
alkej-494	35	31	n	n	CCONJ
alkej-494	35	32	�	�	PROPN
alkej-494	35	33	�	�	PROPN
alkej-494	35	34	∂	∂	NOUN
alkej-494	35	35	w∂y	w∂y	NOUN
alkej-494	35	36	+	+	CCONJ
alkej-494	35	37	2n	2n	NUM
alkej-494	35	38	�	�	PROPN
alkej-494	35	39	�	�	PROPN
alkej-494	35	40	�	�	PROPN
alkej-494	35	41	∂	∂	NUM
alkej-494	35	42	w∂x	w∂x	NOUN
alkej-494	35	43	∂y	∂y	SYM
alkej-494	36	1	+	+	CCONJ
alkej-494	36	2	i	i	PROPN
alkej-494	36	3	�	�	PROPN
alkej-494	36	4	∂	∂	NOUN
alkej-494	36	5	�	�	PROPN
alkej-494	36	6	w∂t	w∂t	NOUN
alkej-494	36	7	=	=	SYM
alkej-494	36	8	0	0	NUM
alkej-494	36	9	…	…	PUNCT
alkej-494	36	10	�	�	NOUN
alkej-494	36	11	2.1	2.1	NUM
alkej-494	36	12	{	{	PUNCT
alkej-494	36	13	n	n	X
alkej-494	36	14	�	�	PROPN
alkej-494	36	15	}	}	PUNCT
alkej-494	36	16	=	=	PUNCT
alkej-494	36	17	!	!	PUNCT
alkej-494	37	1	"	"	PUNCT
alkej-494	37	2	a$	a$	ADV
alkej-494	37	3	{	{	PUNCT
alkej-494	37	4	α	α	NOUN
alkej-494	37	5	}	}	PUNCT
alkej-494	37	6	&	&	CCONJ
alkej-494	37	7	∆t	∆t	PROPN
alkej-494	37	8	dz	dz	ADJ
alkej-494	37	9	+	+	PROPN
alkej-494	37	10	,	,	PUNCT
alkej-494	37	11	+	+	ADJ
alkej-494	37	12	,	,	PUNCT
alkej-494	37	13	-	-	PUNCT
alkej-494	37	14	.	.	PUNCT
alkej-494	37	15	/	/	SYM
alkej-494	37	16	&	&	CCONJ
alkej-494	37	17	0	0	NUM
alkej-494	37	18	�	�	PROPN
alkej-494	37	19	…	…	SYM
alkej-494	37	20	�	�	PROPN
alkej-494	37	21	2.2	2.2	NUM
alkej-494	37	22	where	where	SCONJ
alkej-494	37	23	:	:	PUNCT
alkej-494	37	24	dij	dij	PROPN
alkej-494	37	25	are	be	AUX
alkej-494	37	26	bending	bend	VERB
alkej-494	37	27	stiffness	stiffness	NOUN
alkej-494	37	28	,	,	PUNCT
alkej-494	37	29	{	{	PUNCT
alkej-494	37	30	α	α	NOUN
alkej-494	37	31	}	}	PUNCT
alkej-494	37	32	is	be	AUX
alkej-494	37	33	a	a	DET
alkej-494	37	34	vector	vector	NOUN
alkej-494	37	35	of	of	ADP
alkej-494	37	36	thermal	thermal	ADJ
alkej-494	37	37	expansion	expansion	NOUN
alkej-494	37	38	coefficient	coefficient	NOUN
alkej-494	37	39	,	,	PUNCT
alkej-494	37	40	[	[	X
alkej-494	37	41	a	a	X
alkej-494	37	42	]	]	X
alkej-494	37	43	is	be	AUX
alkej-494	37	44	the	the	DET
alkej-494	37	45	extension	extension	NOUN
alkej-494	37	46	stiffness	stiffness	NOUN
alkej-494	37	47	matrix	matrix	NOUN
alkej-494	37	48	,	,	PUNCT
alkej-494	37	49	1	1	NUM
alkej-494	37	50	is	be	AUX
alkej-494	37	51	the	the	DET
alkej-494	37	52	frequency	frequency	NOUN
alkej-494	37	53	of	of	ADP
alkej-494	37	54	the	the	DET
alkej-494	37	55	lamina	lamina	ADJ
alkej-494	37	56	vibrations	vibration	NOUN
alkej-494	37	57	.	.	PUNCT
alkej-494	38	1	introducing	introduce	VERB
alkej-494	38	2	the	the	DET
alkej-494	38	3	moment	moment	NOUN
alkej-494	38	4	of	of	ADP
alkej-494	38	5	the	the	DET
alkej-494	38	6	inertia	inertia	NOUN
alkej-494	38	7	�	�	PROPN
alkej-494	38	8	23	23	NUM
alkej-494	38	9	per	per	ADP
alkej-494	38	10	unit	unit	NOUN
alkej-494	38	11	area	area	NOUN
alkej-494	38	12	of	of	ADP
alkej-494	38	13	the	the	DET
alkej-494	38	14	laminate	laminate	NOUN
alkej-494	38	15	at	at	ADP
alkej-494	38	16	point	point	NOUN
alkej-494	38	17	(	(	PUNCT
alkej-494	38	18	x	x	X
alkej-494	38	19	,	,	PUNCT
alkej-494	38	20	y	y	PROPN
alkej-494	38	21	)	)	PUNCT
alkej-494	38	22	;	;	PUNCT
alkej-494	38	23	23	23	NUM
alkej-494	38	24	=	=	SYM
alkej-494	38	25	!	!	PUNCT
alkej-494	39	1	4	4	NUM
alkej-494	39	2	56	56	NUM
alkej-494	39	3	758	758	NUM
alkej-494	39	4	9	9	NUM
alkej-494	39	5	:	:	PUNCT
alkej-494	39	6	=	=	SYM
alkej-494	39	7	4	4	NUM
alkej-494	39	8	;	;	PUNCT
alkej-494	39	9	<	<	X
alkej-494	39	10	=	=	PROPN
alkej-494	39	11	0	0	NUM
alkej-494	39	12	�	�	PROPN
alkej-494	39	13	�	�	PROPN
alkej-494	39	14	:	:	PUNCT
alkej-494	39	15	;	;	PUNCT
alkej-494	39	16	−	−	PROPN
alkej-494	39	17	:	:	PUNCT
alkej-494	39	18	;	;	PUNCT
alkej-494	39	19	7	7	NUM
alkej-494	39	20	�	�	NOUN
alkej-494	39	21	…	…	SYM
alkej-494	39	22	�	�	NOUN
alkej-494	39	23	2.3	2.3	NUM
alkej-494	39	24	where	where	SCONJ
alkej-494	39	25	l	l	NOUN
alkej-494	39	26	:	:	PUNCT
alkej-494	39	27	the	the	DET
alkej-494	39	28	total	total	ADJ
alkej-494	39	29	number	number	NOUN
alkej-494	39	30	of	of	ADP
alkej-494	39	31	layers	layer	NOUN
alkej-494	39	32	constructed	construct	VERB
alkej-494	39	33	the	the	DET
alkej-494	39	34	plate	plate	NOUN
alkej-494	39	35	,	,	PUNCT
alkej-494	39	36	k	k	PROPN
alkej-494	39	37	:	:	PUNCT
alkej-494	39	38	denotes	denote	VERB
alkej-494	39	39	the	the	DET
alkej-494	39	40	layer	layer	NOUN
alkej-494	39	41	number	number	NOUN
alkej-494	39	42	,	,	PUNCT
alkej-494	39	43	h	h	NOUN
alkej-494	39	44	:	:	PUNCT
alkej-494	39	45	the	the	DET
alkej-494	39	46	thickness	thickness	NOUN
alkej-494	39	47	of	of	ADP
alkej-494	39	48	the	the	DET
alkej-494	39	49	lamina	lamina	NOUN
alkej-494	39	50	,	,	PUNCT
alkej-494	39	51	:	:	PUNCT
alkej-494	39	52	;	;	PUNCT
alkej-494	39	53	,	,	PUNCT
alkej-494	39	54	and	and	CCONJ
alkej-494	39	55	:	:	PUNCT
alkej-494	39	56	;	;	PUNCT
alkej-494	39	57	7	7	NUM
alkej-494	39	58	�	�	NOUN
alkej-494	39	59	:	:	PUNCT
alkej-494	39	60	distances	distance	NOUN
alkej-494	39	61	from	from	ADP
alkej-494	39	62	the	the	DET
alkej-494	39	63	reference	reference	NOUN
alkej-494	39	64	plane	plane	NOUN
alkej-494	39	65	of	of	ADP
alkej-494	39	66	the	the	DET
alkej-494	39	67	lamina	lamina	NOUN
alkej-494	39	68	to	to	ADP
alkej-494	39	69	the	the	DET
alkej-494	39	70	two	two	NUM
alkej-494	39	71	surfaces	surface	NOUN
alkej-494	39	72	of	of	ADP
alkej-494	39	73	the	the	DET
alkej-494	39	74	@a5	@a5	PROPN
alkej-494	39	75	ply	ply	NOUN
alkej-494	39	76	.	.	PUNCT
alkej-494	40	1	in	in	ADP
alkej-494	40	2	this	this	DET
alkej-494	40	3	study	study	NOUN
alkej-494	40	4	,	,	PUNCT
alkej-494	40	5	uniform	uniform	ADJ
alkej-494	40	6	temperature	temperature	NOUN
alkej-494	40	7	distribution	distribution	NOUN
alkej-494	40	8	is	be	AUX
alkej-494	40	9	taken	take	VERB
alkej-494	40	10	into	into	ADP
alkej-494	40	11	consideration	consideration	NOUN
alkej-494	40	12	.	.	PUNCT
alkej-494	41	1	mohammed	mohammed	PROPN
alkej-494	41	2	b.	b.	PROPN
alkej-494	41	3	hammed	hammed	PROPN
alkej-494	41	4	al	al	PROPN
alkej-494	41	5	-	-	PUNCT
alkej-494	41	6	khwarizmi	khwarizmi	PROPN
alkej-494	41	7	engineering	engineering	NOUN
alkej-494	41	8	journal	journal	PROPN
alkej-494	41	9	,	,	PUNCT
alkej-494	41	10	vol	vol	NOUN
alkej-494	41	11	.	.	PROPN
alkej-494	41	12	15	15	NUM
alkej-494	41	13	,	,	PUNCT
alkej-494	41	14	no	no	INTJ
alkej-494	41	15	.	.	NOUN
alkej-494	41	16	4	4	NUM
alkej-494	41	17	,	,	PUNCT
alkej-494	41	18	p.p	p.p	PROPN
alkej-494	41	19	.	.	NOUN
alkej-494	41	20	2332	2332	NUM
alkej-494	41	21	(	(	PUNCT
alkej-494	41	22	2019	2019	NUM
alkej-494	41	23	)	)	PUNCT
alkej-494	41	24	25	25	NUM
alkej-494	41	25	2.2	2.2	NUM
alkej-494	41	26	total	total	ADJ
alkej-494	41	27	mechanical	mechanical	ADJ
alkej-494	41	28	energy	energy	NOUN
alkej-494	41	29	the	the	DET
alkej-494	41	30	definition	definition	NOUN
alkej-494	41	31	of	of	ADP
alkej-494	41	32	the	the	DET
alkej-494	41	33	total	total	ADJ
alkej-494	41	34	mechanical	mechanical	ADJ
alkej-494	41	35	energy	energy	NOUN
alkej-494	41	36	is	be	AUX
alkej-494	41	37	the	the	DET
alkej-494	41	38	aggregation	aggregation	NOUN
alkej-494	41	39	of	of	ADP
alkej-494	41	40	its	its	PRON
alkej-494	41	41	kinetic	kinetic	ADJ
alkej-494	41	42	energy	energy	NOUN
alkej-494	41	43	and	and	CCONJ
alkej-494	41	44	potential	potential	ADJ
alkej-494	41	45	energy	energy	NOUN
alkej-494	41	46	of	of	ADP
alkej-494	41	47	a	a	DET
alkej-494	41	48	particles	particle	NOUN
alkej-494	41	49	being	be	AUX
alkej-494	41	50	applied	apply	VERB
alkej-494	41	51	on	on	ADP
alkej-494	41	52	by	by	ADP
alkej-494	41	53	only	only	ADV
alkej-494	41	54	conservatively	conservatively	ADV
alkej-494	41	55	by	by	ADP
alkej-494	41	56	constant	constant	ADJ
alkej-494	41	57	forces	force	NOUN
alkej-494	41	58	[	[	X
alkej-494	41	59	11	11	NUM
alkej-494	41	60	]	]	PUNCT
alkej-494	41	61	.	.	PUNCT
alkej-494	42	1	b	b	X
alkej-494	42	2	=	=	SYM
alkej-494	42	3	c	c	PROPN
alkej-494	42	4	−	−	NOUN
alkej-494	42	5	bd	bd	PROPN
alkej-494	42	6	=	=	PUNCT
alkej-494	42	7	efghijgi	efghijgi	NOUN
alkej-494	42	8	…	…	PUNCT
alkej-494	42	9	�	�	PROPN
alkej-494	42	10	2.4	2.4	NUM
alkej-494	42	11	where	where	SCONJ
alkej-494	42	12	e	e	NOUN
alkej-494	42	13	:	:	PUNCT
alkej-494	42	14	total	total	ADJ
alkej-494	42	15	mechanical	mechanical	ADJ
alkej-494	42	16	energy	energy	NOUN
alkej-494	42	17	of	of	ADP
alkej-494	42	18	a	a	DET
alkej-494	42	19	system	system	NOUN
alkej-494	42	20	,	,	PUNCT
alkej-494	42	21	ec	ec	PROPN
alkej-494	42	22	:	:	PUNCT
alkej-494	42	23	total	total	ADJ
alkej-494	42	24	kinetic	kinetic	ADJ
alkej-494	42	25	energy	energy	NOUN
alkej-494	42	26	of	of	ADP
alkej-494	42	27	the	the	DET
alkej-494	42	28	system	system	NOUN
alkej-494	42	29	,	,	PUNCT
alkej-494	42	30	π	π	PROPN
alkej-494	42	31	:	:	PUNCT
alkej-494	42	32	total	total	ADJ
alkej-494	42	33	strain	strain	NOUN
alkej-494	42	34	energy	energy	NOUN
alkej-494	42	35	of	of	ADP
alkej-494	42	36	the	the	DET
alkej-494	42	37	system	system	NOUN
alkej-494	42	38	.	.	PUNCT
alkej-494	43	1	potential	potential	ADJ
alkej-494	43	2	energy	energy	NOUN
alkej-494	43	3	of	of	ADP
alkej-494	43	4	purely	purely	ADV
alkej-494	43	5	bending	bend	VERB
alkej-494	43	6	plate	plate	NOUN
alkej-494	43	7	under	under	ADP
alkej-494	43	8	in	in	ADP
alkej-494	43	9	plane	plane	NOUN
alkej-494	43	10	thermal	thermal	ADJ
alkej-494	43	11	load	load	NOUN
alkej-494	43	12	is	be	AUX
alkej-494	43	13	[	[	X
alkej-494	43	14	14	14	NUM
alkej-494	43	15	]	]	PUNCT
alkej-494	43	16	;	;	PUNCT
alkej-494	43	17	c	c	X
alkej-494	43	18	=	=	SYM
alkej-494	43	19	12	12	NUM
alkej-494	43	20	!	!	PUNCT
alkej-494	43	21	!	!	PUNCT
alkej-494	44	1	kl	kl	AUX
alkej-494	44	2	�	�	PROPN
alkej-494	44	3	�	�	PROPN
alkej-494	44	4	mn	mn	PROPN
alkej-494	44	5	1no	1no	PROPN
alkej-494	44	6	p	p	PROPN
alkej-494	45	1	+	+	NOUN
alkej-494	45	2	l	l	NOUN
alkej-494	45	3	mn	mn	PROPN
alkej-494	45	4	1nq	1nq	NOUN
alkej-494	45	5	p	p	X
alkej-494	45	6	r	r	NOUN
alkej-494	45	7	�	�	PROPN
alkej-494	45	8	s	s	PART
alkej-494	45	9	�	�	PROPN
alkej-494	45	10	+	+	CCONJ
alkej-494	45	11	l	l	PROPN
alkej-494	45	12	�	�	PROPN
alkej-494	45	13	�	�	NOUN
alkej-494	45	14	m2n	m2n	NOUN
alkej-494	45	15	1nonqp	1nonqp	NUM
alkej-494	45	16	+	+	CCONJ
alkej-494	45	17	2	2	NUM
alkej-494	45	18	ml	ml	NOUN
alkej-494	45	19	�	�	PROPN
alkej-494	45	20	n	n	CCONJ
alkej-494	45	21	1no	1no	ADJ
alkej-494	45	22	n	n	CCONJ
alkej-494	45	23	1nq	1nq	ADJ
alkej-494	45	24	pt	pt	NOUN
alkej-494	45	25	9o	9o	NOUN
alkej-494	45	26	9q	9q	NUM
alkej-494	46	1	+	+	X
alkej-494	46	2	12	12	NUM
alkej-494	46	3	!	!	PUNCT
alkej-494	47	1	u@v	u@v	VERB
alkej-494	47	2	�	�	PROPN
alkej-494	47	3	1	1	NUM
alkej-494	47	4	+	+	NUM
alkej-494	47	5	wv	wv	PROPN
alkej-494	47	6	�	�	PROPN
alkej-494	47	7	xn1no	xn1no	PROPN
alkej-494	47	8	y	y	PROPN
alkej-494	47	9	zv0	zv0	PROPN
alkej-494	47	10	�	�	PROPN
alkej-494	47	11	9qs	9qs	PROPN
alkej-494	47	12	�	�	PROPN
alkej-494	47	13	+	+	CCONJ
alkej-494	47	14	12	12	NUM
alkej-494	47	15	!	!	PUNCT
alkej-494	48	1	u@v	u@v	VERB
alkej-494	48	2	�	�	PROPN
alkej-494	48	3	1	1	NUM
alkej-494	48	4	+	+	NUM
alkej-494	48	5	wv	wv	PROPN
alkej-494	48	6	�	�	PROPN
alkej-494	48	7	xn1nq	xn1nq	PROPN
alkej-494	48	8	y	y	PROPN
alkej-494	48	9	zv0r	zv0r	PROPN
alkej-494	48	10	9qs	9qs	PROPN
alkej-494	48	11	�	�	PROPN
alkej-494	48	12	+	+	CCONJ
alkej-494	48	13	12	12	NUM
alkej-494	48	14	!	!	PUNCT
alkej-494	49	1	u@[	u@[	PROPN
alkej-494	49	2	�	�	PROPN
alkej-494	49	3	1	1	NUM
alkej-494	49	4	+	+	SYM
alkej-494	49	5	w	w	PROPN
alkej-494	49	6	[	[	X
alkej-494	49	7	�	�	PROPN
alkej-494	49	8	xn1nq	xn1nq	PROPN
alkej-494	49	9	y	y	PROPN
alkej-494	49	10	z[0	z[0	PROPN
alkej-494	49	11	�	�	PROPN
alkej-494	49	12	9or	9or	PROPN
alkej-494	49	13	�	�	PROPN
alkej-494	50	1	+	+	CCONJ
alkej-494	50	2	12	12	NUM
alkej-494	50	3	!	!	PUNCT
alkej-494	51	1	u@[	u@[	PROPN
alkej-494	51	2	�	�	PROPN
alkej-494	51	3	1	1	NUM
alkej-494	51	4	+	+	SYM
alkej-494	51	5	w	w	PROPN
alkej-494	51	6	[	[	X
alkej-494	51	7	�	�	PROPN
alkej-494	51	8	xn1nq	xn1nq	PROPN
alkej-494	51	9	y	y	PROPN
alkej-494	51	10	z[0s	z[0s	PROPN
alkej-494	51	11	9o	9o	NOUN
alkej-494	51	12	r	r	NOUN
alkej-494	51	13	�	�	NOUN
alkej-494	51	14	−	−	PROPN
alkej-494	51	15	12	12	NUM
alkej-494	51	16	!	!	PUNCT
alkej-494	51	17	!	!	PUNCT
alkej-494	52	1	u\v	u\v	PROPN
alkej-494	52	2	]	]	X
alkej-494	53	1	xn1no	xn1no	PROPN
alkej-494	54	1	y	y	PROPN
alkej-494	54	2	+	+	PUNCT
alkej-494	54	3	\	\	PROPN
alkej-494	55	1	[	[	X
alkej-494	55	2	]	]	X
alkej-494	55	3	xn1nq	xn1nq	PROPN
alkej-494	55	4	y	y	PROPN
alkej-494	55	5	r	r	PROPN
alkej-494	55	6	�	�	PROPN
alkej-494	55	7	s	s	PART
alkej-494	55	8	�	�	PROPN
alkej-494	55	9	+	+	CCONJ
alkej-494	55	10	2\v	2\v	PROPN
alkej-494	56	1	[	[	X
alkej-494	56	2	]	]	X
alkej-494	56	3	m	m	VERB
alkej-494	56	4	n	n	NUM
alkej-494	56	5	1nonqpz	1nonqpz	NUM
alkej-494	56	6	9o	9o	NOUN
alkej-494	56	7	9q	9q	NOUN
alkej-494	56	8	…	…	PUNCT
alkej-494	56	9	�	�	PROPN
alkej-494	56	10	2.5	2.5	NUM
alkej-494	56	11	∆e=0	∆e=0	NOUN
alkej-494	56	12	or	or	CCONJ
alkej-494	56	13	e=	e=	X
alkej-494	56	14	constant	constant	ADJ
alkej-494	56	15	…	…	PUNCT
alkej-494	56	16	�	�	SYM
alkej-494	56	17	2.6	2.6	NUM
alkej-494	56	18	bd	bd	NOUN
alkej-494	56	19	=	=	NOUN
alkej-494	56	20	12	12	NUM
alkej-494	56	21	`	`	PUNCT
alkej-494	56	22	a	a	DET
alkej-494	56	23	2313	2313	NUM
alkej-494	56	24	9o	9o	NOUN
alkej-494	56	25	9q	9q	NOUN
alkej-494	56	26	…	…	PUNCT
alkej-494	56	27	�	�	NOUN
alkej-494	56	28	2.7	2.7	NUM
alkej-494	56	29	2.3	2.3	NUM
alkej-494	56	30	boundary	boundary	ADJ
alkej-494	56	31	conditions	condition	NOUN
alkej-494	56	32	the	the	DET
alkej-494	56	33	twisting	twisting	NOUN
alkej-494	56	34	and	and	CCONJ
alkej-494	56	35	bending	bend	VERB
alkej-494	56	36	shear	shear	NOUN
alkej-494	56	37	forces	force	NOUN
alkej-494	56	38	can	can	AUX
alkej-494	56	39	be	be	AUX
alkej-494	56	40	expressed	express	VERB
alkej-494	56	41	in	in	ADP
alkej-494	56	42	displacement	displacement	ADJ
alkej-494	56	43	function	function	NOUN
alkej-494	56	44	as	as	ADP
alkej-494	56	45	;	;	PUNCT
alkej-494	56	46	[	[	X
alkej-494	56	47	4	4	NUM
alkej-494	56	48	]	]	PUNCT
alkej-494	56	49	.	.	PUNCT
alkej-494	57	1	cv	cv	PROPN
alkej-494	57	2	=	=	SYM
alkej-494	57	3	−l	−l	PROPN
alkej-494	57	4	�	�	PROPN
alkej-494	57	5	�	�	PROPN
alkej-494	57	6	n	n	CCONJ
alkej-494	57	7	1no	1no	ADJ
alkej-494	57	8	−	−	PROPN
alkej-494	57	9	l	l	X
alkej-494	57	10	�	�	PROPN
alkej-494	57	11	n	n	CCONJ
alkej-494	57	12	1nq	1nq	ADJ
alkej-494	57	13	…	…	PUNCT
alkej-494	57	14	�	�	NOUN
alkej-494	57	15	2.8	2.8	NUM
alkej-494	57	16	c	c	NOUN
alkej-494	57	17	[	[	PUNCT
alkej-494	57	18	=	=	NOUN
alkej-494	57	19	−l	−l	NOUN
alkej-494	57	20	n	n	CCONJ
alkej-494	57	21	1nq	1nq	ADJ
alkej-494	57	22	−	−	PROPN
alkej-494	57	23	l	l	X
alkej-494	57	24	�	�	PROPN
alkej-494	57	25	n	n	CCONJ
alkej-494	57	26	1no	1no	ADJ
alkej-494	57	27	…	…	PUNCT
alkej-494	57	28	�	�	PROPN
alkej-494	57	29	2.9	2.9	NUM
alkej-494	57	30	cv	cv	PROPN
alkej-494	57	31	[	[	PUNCT
alkej-494	57	32	=	=	SYM
alkej-494	57	33	−2l	−2l	PROPN
alkej-494	57	34	�	�	PROPN
alkej-494	57	35	�	�	PROPN
alkej-494	57	36	n	n	CCONJ
alkej-494	57	37	1nonq	1nonq	PROPN
alkej-494	57	38	…	…	SYM
alkej-494	57	39	�	�	PROPN
alkej-494	57	40	2.10	2.10	NUM
alkej-494	57	41	fv	fv	NOUN
alkej-494	57	42	=	=	PUNCT
alkej-494	57	43	−l	−l	PROPN
alkej-494	57	44	�	�	PROPN
alkej-494	57	45	�	�	PROPN
alkej-494	57	46	n	n	CCONJ
alkej-494	57	47	�	�	PROPN
alkej-494	57	48	1no	1no	ADJ
alkej-494	57	49	�	�	PROPN
alkej-494	57	50	−	−	PROPN
alkej-494	57	51	�	�	PROPN
alkej-494	57	52	l	l	NOUN
alkej-494	57	53	�	�	PROPN
alkej-494	57	54	+	+	CCONJ
alkej-494	57	55	4l	4l	NOUN
alkej-494	57	56	�	�	PROPN
alkej-494	57	57	�	�	PROPN
alkej-494	57	58	n	n	CCONJ
alkej-494	57	59	�	�	PROPN
alkej-494	57	60	1nq	1nq	ADJ
alkej-494	57	61	no	no	PRON
alkej-494	57	62	…	…	PUNCT
alkej-494	57	63	�	�	NOUN
alkej-494	57	64	2.11	2.11	NUM
alkej-494	57	65	f	f	NOUN
alkej-494	57	66	[	[	PUNCT
alkej-494	57	67	=	=	NOUN
alkej-494	57	68	−l	−l	ADJ
alkej-494	57	69	n	n	CCONJ
alkej-494	57	70	�	�	PROPN
alkej-494	57	71	1nq	1nq	ADJ
alkej-494	57	72	�	�	PROPN
alkej-494	57	73	−	−	PROPN
alkej-494	57	74	�	�	PROPN
alkej-494	57	75	l	l	NOUN
alkej-494	57	76	�	�	PROPN
alkej-494	57	77	+	+	CCONJ
alkej-494	57	78	4l	4l	NOUN
alkej-494	57	79	�	�	PROPN
alkej-494	57	80	�	�	PROPN
alkej-494	57	81	n	n	CCONJ
alkej-494	57	82	�	�	PROPN
alkej-494	57	83	1no	1no	ADJ
alkej-494	57	84	nq	nq	PROPN
alkej-494	57	85	…	…	PUNCT
alkej-494	57	86	�	�	PROPN
alkej-494	57	87	2.12	2.12	NUM
alkej-494	57	88	for	for	ADP
alkej-494	57	89	rectangular	rectangular	ADJ
alkej-494	57	90	plate	plate	NOUN
alkej-494	57	91	restrained	restrain	VERB
alkej-494	57	92	elastically	elastically	ADV
alkej-494	57	93	,	,	PUNCT
alkej-494	57	94	the	the	DET
alkej-494	57	95	boundary	boundary	ADJ
alkej-494	57	96	conditions	condition	NOUN
alkej-494	57	97	are	be	AUX
alkej-494	57	98	:	:	PUNCT
alkej-494	57	99	@v	@v	X
alkej-494	57	100	�	�	X
alkej-494	57	101	1	1	NUM
alkej-494	57	102	=	=	SYM
alkej-494	57	103	fv	fv	PROPN
alkej-494	57	104	wv	wv	PROPN
alkej-494	57	105	�	�	PROPN
alkej-494	57	106	n1no	n1no	X
alkej-494	58	1	=	=	PUNCT
alkej-494	59	1	−cv	−cv	X
alkej-494	60	1	ji	ji	NOUN
alkej-494	60	2	o	o	NOUN
alkej-494	60	3	=	=	SYM
alkej-494	60	4	0	0	NUM
alkej-494	60	5	…	…	SYM
alkej-494	60	6	�	�	PROPN
alkej-494	60	7	2.13	2.13	NUM
alkej-494	60	8	@v	@v	NUM
alkej-494	60	9	�	�	NOUN
alkej-494	60	10	1	1	NUM
alkej-494	60	11	=	=	SYM
alkej-494	60	12	−fv	−fv	X
alkej-494	60	13	wv	wv	PROPN
alkej-494	60	14	�	�	PROPN
alkej-494	60	15	n1no	n1no	X
alkej-494	61	1	=	=	SYM
alkej-494	61	2	cv	cv	PROPN
alkej-494	62	1	ji	ji	PROPN
alkej-494	62	2	o	o	PROPN
alkej-494	62	3	=	=	X
alkej-494	62	4	j	j	PROPN
alkej-494	62	5	…	…	PUNCT
alkej-494	62	6	�	�	PROPN
alkej-494	62	7	2.14	2.14	NUM
alkej-494	62	8	@[	@[	PROPN
alkej-494	62	9	�	�	PROPN
alkej-494	62	10	1	1	NUM
alkej-494	62	11	=	=	SYM
alkej-494	62	12	f	f	X
alkej-494	62	13	[	[	PUNCT
alkej-494	62	14	w	w	PROPN
alkej-494	62	15	[	[	X
alkej-494	62	16	�	�	INTJ
alkej-494	62	17	n1nq	n1nq	NOUN
alkej-494	62	18	=	=	SYM
alkej-494	62	19	−c	−c	NOUN
alkej-494	62	20	[	[	PUNCT
alkej-494	62	21	ji	ji	NOUN
alkej-494	62	22	q	q	PROPN
alkej-494	62	23	=	=	SYM
alkej-494	62	24	0	0	NUM
alkej-494	62	25	…	…	PUNCT
alkej-494	62	26	�	�	PROPN
alkej-494	62	27	2.15	2.15	NUM
alkej-494	62	28	@[	@[	PROPN
alkej-494	62	29	�	�	PROPN
alkej-494	62	30	1	1	NUM
alkej-494	62	31	=	=	SYM
alkej-494	62	32	−f	−f	PROPN
alkej-494	62	33	[	[	PUNCT
alkej-494	62	34	w	w	PROPN
alkej-494	62	35	[	[	X
alkej-494	62	36	�	�	INTJ
alkej-494	62	37	n1nq	n1nq	PUNCT
alkej-494	62	38	=	=	SYM
alkej-494	63	1	c	c	X
alkej-494	63	2	[	[	PUNCT
alkej-494	63	3	ji	ji	NOUN
alkej-494	63	4	q	q	PROPN
alkej-494	63	5	=	=	SYM
alkej-494	63	6	g	g	PROPN
alkej-494	63	7	…	…	PUNCT
alkej-494	63	8	�	�	PROPN
alkej-494	63	9	2.16	2.16	NUM
alkej-494	63	10	fig	fig	NOUN
alkej-494	63	11	.	.	PUNCT
alkej-494	64	1	1	1	X
alkej-494	64	2	.	.	X
alkej-494	64	3	a	a	DET
alkej-494	64	4	rectangular	rectangular	ADJ
alkej-494	64	5	plate	plate	NOUN
alkej-494	64	6	elastically	elastically	ADV
alkej-494	64	7	restrained	restrain	VERB
alkej-494	64	8	along	along	ADP
alkej-494	64	9	edges	edge	NOUN
alkej-494	64	10	,	,	PUNCT
alkej-494	64	11	[	[	X
alkej-494	64	12	15	15	NUM
alkej-494	64	13	]	]	PUNCT
alkej-494	64	14	.	.	PUNCT
alkej-494	65	1	where	where	SCONJ
alkej-494	65	2	,	,	PUNCT
alkej-494	65	3	w	w	PROPN
alkej-494	65	4	[	[	X
alkej-494	65	5	�	�	PROPN
alkej-494	65	6	,	,	PUNCT
alkej-494	65	7	w	w	PROPN
alkej-494	65	8	[	[	X
alkej-494	65	9	�	�	PROPN
alkej-494	65	10	jg9	jg9	PROPN
alkej-494	65	11	wv	wv	PROPN
alkej-494	65	12	�	�	PROPN
alkej-494	65	13	,	,	PUNCT
alkej-494	65	14	wv	wv	PROPN
alkej-494	65	15	�	�	PROPN
alkej-494	65	16	are	be	AUX
alkej-494	65	17	the	the	DET
alkej-494	65	18	stiffness	stiffness	NOUN
alkej-494	65	19	of	of	ADP
alkej-494	65	20	the	the	DET
alkej-494	65	21	rotational	rotational	ADJ
alkej-494	65	22	spring	spring	NOUN
alkej-494	65	23	,	,	PUNCT
alkej-494	65	24	@	@	ADP
alkej-494	65	25	[	[	X
alkej-494	65	26	�	�	X
alkej-494	65	27	‚	‚	PRON
alkej-494	65	28	@	@	ADP
alkej-494	65	29	[	[	X
alkej-494	65	30	�	�	PROPN
alkej-494	65	31	jg9	jg9	PROPN
alkej-494	65	32	@v	@v	PROPN
alkej-494	65	33	�	�	PROPN
alkej-494	65	34	‚	‚	NOUN
alkej-494	65	35	@v	@v	NUM
alkej-494	65	36	�	�	PROPN
alkej-494	65	37	are	be	AUX
alkej-494	65	38	the	the	DET
alkej-494	65	39	stiffness	stiffness	NOUN
alkej-494	65	40	of	of	ADP
alkej-494	65	41	the	the	DET
alkej-494	65	42	transitional	transitional	ADJ
alkej-494	65	43	spring	spring	NOUN
alkej-494	65	44	,	,	PUNCT
alkej-494	66	1	ji	ji	PROPN
alkej-494	66	2	q	q	PROPN
alkej-494	67	1	=	=	NOUN
alkej-494	67	2	0	0	NUM
alkej-494	67	3	jg9	jg9	PROPN
alkej-494	67	4	g	g	PROPN
alkej-494	67	5	�	�	PROPN
alkej-494	67	6	o	o	NOUN
alkej-494	67	7	=	=	SYM
alkej-494	67	8	0	0	NUM
alkej-494	67	9	jg9	jg9	PROPN
alkej-494	67	10	j	j	PROPN
alkej-494	67	11	respectively	respectively	ADV
alkej-494	67	12	.	.	PUNCT
alkej-494	68	1	eqs	eqs	PROPN
alkej-494	68	2	.	.	PUNCT
alkej-494	69	1	(	(	PUNCT
alkej-494	69	2	13	13	NUM
alkej-494	69	3	)	)	PUNCT
alkej-494	69	4	(	(	PUNCT
alkej-494	69	5	16	16	NUM
alkej-494	69	6	)	)	PUNCT
alkej-494	69	7	shows	show	VERB
alkej-494	69	8	a	a	DET
alkej-494	69	9	set	set	NOUN
alkej-494	69	10	of	of	ADP
alkej-494	69	11	different	different	ADJ
alkej-494	69	12	b.cs	b.cs	NOUN
alkej-494	69	13	from	from	ADP
alkej-494	69	14	which	which	PRON
alkej-494	69	15	,	,	PUNCT
alkej-494	69	16	the	the	DET
alkej-494	69	17	free	free	ADJ
alkej-494	69	18	boundary	boundary	ADJ
alkej-494	69	19	condition	condition	NOUN
alkej-494	69	20	can	can	AUX
alkej-494	69	21	be	be	AUX
alkej-494	69	22	found	find	VERB
alkej-494	69	23	by	by	ADP
alkej-494	69	24	setting	set	VERB
alkej-494	69	25	the	the	DET
alkej-494	69	26	spring	spring	NOUN
alkej-494	69	27	constant	constant	ADJ
alkej-494	69	28	to	to	ADP
alkej-494	69	29	zero	zero	NUM
alkej-494	69	30	while	while	SCONJ
alkej-494	69	31	setting	set	VERB
alkej-494	69	32	the	the	DET
alkej-494	69	33	spring	spring	NOUN
alkej-494	69	34	constant	constant	ADJ
alkej-494	69	35	to	to	PART
alkej-494	69	36	infinity	infinity	VERB
alkej-494	69	37	the	the	DET
alkej-494	69	38	clamped	clamp	VERB
alkej-494	69	39	condition	condition	NOUN
alkej-494	69	40	can	can	AUX
alkej-494	69	41	be	be	AUX
alkej-494	69	42	obtained	obtain	VERB
alkej-494	69	43	(	(	PUNCT
alkej-494	69	44	in	in	ADP
alkej-494	69	45	actual	actual	ADJ
alkej-494	69	46	calculation	calculation	NOUN
alkej-494	69	47	as	as	ADP
alkej-494	69	48	a	a	DET
alkej-494	69	49	large	large	ADJ
alkej-494	69	50	number	number	NOUN
alkej-494	69	51	)	)	PUNCT
alkej-494	69	52	and	and	CCONJ
alkej-494	69	53	the	the	PRON
alkej-494	69	54	simply	simply	ADV
alkej-494	69	55	supported	support	VERB
alkej-494	69	56	can	can	AUX
alkej-494	69	57	be	be	AUX
alkej-494	69	58	obtained	obtain	VERB
alkej-494	69	59	by	by	ADP
alkej-494	69	60	setting	set	VERB
alkej-494	69	61	the	the	DET
alkej-494	69	62	spring	spring	NOUN
alkej-494	69	63	constant	constant	ADJ
alkej-494	69	64	larger	large	ADJ
alkej-494	69	65	than	than	ADP
alkej-494	69	66	zero	zero	NUM
alkej-494	69	67	and	and	CCONJ
alkej-494	69	68	smaller	small	ADJ
alkej-494	69	69	than	than	ADP
alkej-494	69	70	∞	∞	PROPN
alkej-494	69	71	(	(	PUNCT
alkej-494	69	72	0	0	PUNCT
alkej-494	69	73	<	<	X
alkej-494	69	74	k	k	X
alkej-494	69	75	<	<	X
alkej-494	69	76	∞	∞	PROPN
alkej-494	69	77	)	)	PUNCT
alkej-494	69	78	,	,	PUNCT
alkej-494	69	79	see	see	VERB
alkej-494	69	80	(	(	PUNCT
alkej-494	69	81	fig	fig	NOUN
alkej-494	69	82	.	.	PUNCT
alkej-494	69	83	1	1	NUM
alkej-494	69	84	)	)	PUNCT
alkej-494	69	85	.	.	PUNCT
alkej-494	70	1	from	from	ADP
alkej-494	70	2	eq	eq	ADP
alkej-494	70	3	.	.	PUNCT
alkej-494	70	4	(	(	PUNCT
alkej-494	70	5	8)-(16	8)-(16	NUM
alkej-494	70	6	)	)	PUNCT
alkej-494	70	7	,	,	PUNCT
alkej-494	70	8	the	the	DET
alkej-494	70	9	boundary	boundary	ADJ
alkej-494	70	10	conditions	condition	NOUN
alkej-494	70	11	can	can	AUX
alkej-494	70	12	be	be	AUX
alkej-494	70	13	finally	finally	ADV
alkej-494	70	14	expressed	express	VERB
alkej-494	70	15	as	as	ADP
alkej-494	70	16	;	;	PUNCT
alkej-494	70	17	@v	@v	ADJ
alkej-494	70	18	�	�	PROPN
alkej-494	70	19	1	1	NUM
alkej-494	70	20	=	=	SYM
alkej-494	70	21	−l	−l	PROPN
alkej-494	70	22	�	�	PROPN
alkej-494	70	23	�	�	PROPN
alkej-494	70	24	n	n	CCONJ
alkej-494	70	25	�	�	PROPN
alkej-494	70	26	1no	1no	ADJ
alkej-494	70	27	�	�	PROPN
alkej-494	70	28	−	−	PROPN
alkej-494	70	29	�	�	PROPN
alkej-494	70	30	l	l	NOUN
alkej-494	70	31	�	�	PROPN
alkej-494	70	32	+	+	CCONJ
alkej-494	70	33	4l	4l	NOUN
alkej-494	70	34	�	�	PROPN
alkej-494	70	35	�	�	PROPN
alkej-494	70	36	n	n	CCONJ
alkej-494	70	37	�	�	PROPN
alkej-494	70	38	1nq	1nq	ADJ
alkej-494	70	39	no	no	PRON
alkej-494	70	40	…	…	PUNCT
alkej-494	70	41	�	�	NOUN
alkej-494	70	42	2.17	2.17	NUM
alkej-494	70	43	@v	@v	NUM
alkej-494	70	44	�	�	NOUN
alkej-494	70	45	1	1	NUM
alkej-494	70	46	=	=	SYM
alkej-494	70	47	l	l	X
alkej-494	70	48	�	�	PROPN
alkej-494	70	49	�	�	PROPN
alkej-494	70	50	n	n	CCONJ
alkej-494	70	51	�	�	PROPN
alkej-494	70	52	1no	1no	ADJ
alkej-494	70	53	�	�	PROPN
alkej-494	70	54	+	+	CCONJ
alkej-494	70	55	�	�	PROPN
alkej-494	70	56	l	l	NOUN
alkej-494	70	57	�	�	PROPN
alkej-494	70	58	+	+	CCONJ
alkej-494	70	59	4l	4l	NOUN
alkej-494	70	60	�	�	PROPN
alkej-494	70	61	�	�	PROPN
alkej-494	70	62	n	n	CCONJ
alkej-494	70	63	�	�	PROPN
alkej-494	70	64	1nq	1nq	ADJ
alkej-494	70	65	no	no	PRON
alkej-494	70	66	…	…	PUNCT
alkej-494	70	67	�	�	PROPN
alkej-494	70	68	2.18	2.18	NUM
alkej-494	70	69	wv	wv	PROPN
alkej-494	70	70	�	�	PROPN
alkej-494	70	71	n1no	n1no	X
alkej-494	71	1	=	=	SYM
alkej-494	71	2	l	l	X
alkej-494	71	3	�	�	PROPN
alkej-494	71	4	�	�	PROPN
alkej-494	71	5	n	n	CCONJ
alkej-494	71	6	1no	1no	ADJ
alkej-494	71	7	+	+	CCONJ
alkej-494	71	8	l	l	NOUN
alkej-494	71	9	�	�	PROPN
alkej-494	71	10	n	n	CCONJ
alkej-494	71	11	1nq	1nq	ADJ
alkej-494	71	12	…	…	PUNCT
alkej-494	71	13	�	�	PROPN
alkej-494	71	14	2.19	2.19	NUM
alkej-494	71	15	wv	wv	PROPN
alkej-494	71	16	�	�	PROPN
alkej-494	71	17	n1no	n1no	X
alkej-494	71	18	=	=	SYM
alkej-494	71	19	−l	−l	PROPN
alkej-494	71	20	�	�	PROPN
alkej-494	71	21	�	�	PROPN
alkej-494	71	22	n	n	CCONJ
alkej-494	71	23	1no	1no	ADJ
alkej-494	71	24	+	+	CCONJ
alkej-494	71	25	l	l	NOUN
alkej-494	71	26	�	�	PROPN
alkej-494	71	27	n	n	CCONJ
alkej-494	71	28	1nq	1nq	ADJ
alkej-494	71	29	…	…	PUNCT
alkej-494	71	30	�	�	PROPN
alkej-494	71	31	2.20	2.20	NUM
alkej-494	71	32	mohammed	mohammed	PROPN
alkej-494	71	33	b.	b.	PROPN
alkej-494	71	34	hammed	hammed	PROPN
alkej-494	71	35	al	al	PROPN
alkej-494	71	36	-	-	PUNCT
alkej-494	71	37	khwarizmi	khwarizmi	PROPN
alkej-494	71	38	engineering	engineering	NOUN
alkej-494	71	39	journal	journal	PROPN
alkej-494	71	40	,	,	PUNCT
alkej-494	71	41	vol	vol	NOUN
alkej-494	71	42	.	.	PROPN
alkej-494	71	43	15	15	NUM
alkej-494	71	44	,	,	PUNCT
alkej-494	71	45	no	no	INTJ
alkej-494	71	46	.	.	NOUN
alkej-494	71	47	4	4	NUM
alkej-494	71	48	,	,	PUNCT
alkej-494	71	49	p.p	p.p	PROPN
alkej-494	71	50	.	.	NOUN
alkej-494	71	51	2332	2332	NUM
alkej-494	71	52	(	(	PUNCT
alkej-494	71	53	2019	2019	NUM
alkej-494	71	54	)	)	PUNCT
alkej-494	71	55	26	26	NUM
alkej-494	71	56	2.4	2.4	NUM
alkej-494	71	57	admissible	admissible	ADJ
alkej-494	71	58	functions	function	NOUN
alkej-494	71	59	the	the	DET
alkej-494	71	60	permissible	permissible	ADJ
alkej-494	71	61	functions	function	NOUN
alkej-494	71	62	take	take	VERB
alkej-494	71	63	a	a	DET
alkej-494	71	64	significant	significant	ADJ
alkej-494	71	65	role	role	NOUN
alkej-494	71	66	in	in	ADP
alkej-494	71	67	the	the	DET
alkej-494	71	68	rayleigh	rayleigh	PROPN
alkej-494	71	69	-	-	PUNCT
alkej-494	71	70	ritz	ritz	PROPN
alkej-494	71	71	technique	technique	NOUN
alkej-494	71	72	.	.	PUNCT
alkej-494	72	1	the	the	DET
alkej-494	72	2	beam	beam	NOUN
alkej-494	72	3	functions	function	NOUN
alkej-494	72	4	products	product	NOUN
alkej-494	72	5	are	be	AUX
alkej-494	72	6	orderly	orderly	ADV
alkej-494	72	7	selected	select	VERB
alkej-494	72	8	as	as	ADP
alkej-494	72	9	the	the	DET
alkej-494	72	10	permissible	permissible	ADJ
alkej-494	72	11	functions	function	NOUN
alkej-494	72	12	and	and	CCONJ
alkej-494	72	13	the	the	DET
alkej-494	72	14	displacement	displacement	ADJ
alkej-494	72	15	function	function	NOUN
alkej-494	72	16	can	can	AUX
alkej-494	72	17	be	be	AUX
alkej-494	72	18	written	write	VERB
alkej-494	72	19	as	as	ADP
alkej-494	72	20	;	;	PUNCT
alkej-494	73	1	[	[	X
alkej-494	73	2	15	15	NUM
alkej-494	73	3	]	]	SYM
alkej-494	73	4	1	1	NUM
alkej-494	73	5	�	�	NOUN
alkej-494	73	6	o‚q	o‚q	ADP
alkej-494	73	7	=	=	SYM
alkej-494	73	8	∑	∑	PUNCT
alkej-494	73	9	klmnl	klmnl	PROPN
alkej-494	73	10	�	�	PROPN
alkej-494	73	11	o	o	PROPN
alkej-494	73	12	om	om	PROPN
alkej-494	73	13	�	�	PROPN
alkej-494	73	14	q	q	PROPN
alkej-494	73	15	�	�	PROPN
alkej-494	73	16	2.21	2.21	NUM
alkej-494	73	17	l‚m0	l‚m0	PROPN
alkej-494	73	18	�	�	PROPN
alkej-494	73	19	where	where	SCONJ
alkej-494	73	20	nl	nl	PROPN
alkej-494	73	21	�	�	PROPN
alkej-494	73	22	o	o	PROPN
alkej-494	73	23	,	,	PUNCT
alkej-494	73	24	or	or	CCONJ
alkej-494	73	25	om	om	PROPN
alkej-494	73	26	�	�	PROPN
alkej-494	73	27	q	q	PUNCT
alkej-494	73	28	,	,	PUNCT
alkej-494	73	29	is	be	AUX
alkej-494	73	30	the	the	DET
alkej-494	73	31	characteristic	characteristic	ADJ
alkej-494	73	32	beams	beam	NOUN
alkej-494	73	33	functions	function	NOUN
alkej-494	73	34	contain	contain	VERB
alkej-494	73	35	the	the	DET
alkej-494	73	36	same	same	ADJ
alkej-494	73	37	b.cs	b.cs	NOUN
alkej-494	73	38	in	in	ADP
alkej-494	73	39	the	the	DET
alkej-494	73	40	xdirection	xdirection	NOUN
alkej-494	73	41	and	and	CCONJ
alkej-494	73	42	y	y	NOUN
alkej-494	73	43	-	-	PUNCT
alkej-494	73	44	direction	direction	NOUN
alkej-494	73	45	,	,	PUNCT
alkej-494	73	46	sequentially	sequentially	ADV
alkej-494	73	47	.	.	PUNCT
alkej-494	74	1	as	as	ADP
alkej-494	74	2	a	a	DET
alkej-494	74	3	linear	linear	ADJ
alkej-494	74	4	collection	collection	NOUN
alkej-494	74	5	of	of	ADP
alkej-494	74	6	trigonometric	trigonometric	ADJ
alkej-494	74	7	and	and	CCONJ
alkej-494	74	8	hyperbolic	hyperbolic	ADJ
alkej-494	74	9	functions	function	NOUN
alkej-494	74	10	,	,	PUNCT
alkej-494	74	11	the	the	DET
alkej-494	74	12	functions	function	NOUN
alkej-494	74	13	of	of	ADP
alkej-494	74	14	the	the	DET
alkej-494	74	15	beam	beam	NOUN
alkej-494	74	16	can	can	AUX
alkej-494	74	17	be	be	AUX
alkej-494	74	18	broadly	broadly	ADV
alkej-494	74	19	acquired	acquire	VERB
alkej-494	74	20	,	,	PUNCT
alkej-494	74	21	they	they	PRON
alkej-494	74	22	contain	contain	VERB
alkej-494	74	23	a	a	DET
alkej-494	74	24	few	few	ADJ
alkej-494	74	25	unknown	unknown	ADJ
alkej-494	74	26	parameters	parameter	NOUN
alkej-494	74	27	and	and	CCONJ
alkej-494	74	28	from	from	ADP
alkej-494	74	29	which	which	PRON
alkej-494	74	30	the	the	DET
alkej-494	74	31	boundary	boundary	ADJ
alkej-494	74	32	conditions	condition	NOUN
alkej-494	74	33	are	be	AUX
alkej-494	74	34	obtained	obtain	VERB
alkej-494	74	35	.	.	PUNCT
alkej-494	75	1	accordingly	accordingly	ADV
alkej-494	75	2	,	,	PUNCT
alkej-494	75	3	then	then	ADV
alkej-494	75	4	,	,	PUNCT
alkej-494	75	5	all	all	DET
alkej-494	75	6	boundary	boundary	ADJ
alkej-494	75	7	conditions	condition	NOUN
alkej-494	75	8	essentially	essentially	ADV
alkej-494	75	9	derived	derive	VERB
alkej-494	75	10	to	to	ADP
alkej-494	75	11	various	various	ADJ
alkej-494	75	12	forms	form	NOUN
alkej-494	75	13	of	of	ADP
alkej-494	75	14	beam	beam	NOUN
alkej-494	75	15	functions	function	NOUN
alkej-494	75	16	.	.	PUNCT
alkej-494	76	1	in	in	ADP
alkej-494	76	2	veritable	veritable	ADJ
alkej-494	76	3	employment	employment	NOUN
alkej-494	76	4	,	,	PUNCT
alkej-494	76	5	this	this	PRON
alkej-494	76	6	is	be	AUX
alkej-494	76	7	plainly	plainly	ADV
alkej-494	76	8	inappropriate	inappropriate	ADJ
alkej-494	76	9	,	,	PUNCT
alkej-494	76	10	for	for	ADP
alkej-494	76	11	a	a	DET
alkej-494	76	12	various	various	ADJ
alkej-494	76	13	boundary	boundary	ADJ
alkej-494	76	14	beam	beam	NOUN
alkej-494	76	15	.	.	PUNCT
alkej-494	77	1	an	an	DET
alkej-494	77	2	advanced	advanced	ADJ
alkej-494	77	3	method	method	NOUN
alkej-494	77	4	of	of	ADP
alkej-494	77	5	fourier	fouri	ADJ
alkej-494	77	6	series	series	NOUN
alkej-494	77	7	has	have	AUX
alkej-494	77	8	been	be	AUX
alkej-494	77	9	suggested	suggest	VERB
alkej-494	77	10	for	for	ADP
alkej-494	77	11	beams	beam	NOUN
alkej-494	77	12	with	with	ADP
alkej-494	77	13	a	a	DET
alkej-494	77	14	qualitative	qualitative	ADJ
alkej-494	77	15	boundary	boundary	NOUN
alkej-494	77	16	at	at	ADP
alkej-494	77	17	ends	end	NOUN
alkej-494	77	18	so	so	SCONJ
alkej-494	77	19	as	as	SCONJ
alkej-494	77	20	to	to	PART
alkej-494	77	21	avoid	avoid	VERB
alkej-494	77	22	this	this	DET
alkej-494	77	23	obstacle	obstacle	NOUN
alkej-494	77	24	,	,	PUNCT
alkej-494	77	25	in	in	ADP
alkej-494	77	26	which	which	PRON
alkej-494	77	27	the	the	DET
alkej-494	77	28	characteristic	characteristic	ADJ
alkej-494	77	29	functions	function	NOUN
alkej-494	77	30	are	be	AUX
alkej-494	77	31	express	express	ADJ
alkej-494	77	32	in	in	ADP
alkej-494	77	33	the	the	DET
alkej-494	77	34	term	term	NOUN
alkej-494	77	35	of	of	ADP
alkej-494	77	36	;	;	PUNCT
alkej-494	77	37	[	[	X
alkej-494	77	38	19	19	NUM
alkej-494	77	39	]	]	PUNCT
alkej-494	77	40	.	.	PUNCT
alkej-494	78	1	1	1	NUM
alkej-494	78	2	�	�	PROPN
alkej-494	78	3	o	o	NOUN
alkej-494	78	4	=	=	PUNCT
alkej-494	78	5	jl	jl	PROPN
alkej-494	78	6	cos	cos	PROPN
alkej-494	78	7	srlo	srlo	PROPN
alkej-494	78	8	+	+	PROPN
alkej-494	78	9	t	t	PROPN
alkej-494	78	10	�	�	PROPN
alkej-494	78	11	o	o	PROPN
alkej-494	78	12	u	u	PROPN
alkej-494	78	13	l0	l0	PROPN
alkej-494	78	14	�	�	PROPN
alkej-494	78	15	vsrl	vsrl	PROPN
alkej-494	79	1	=	=	PRON
alkej-494	79	2	wxj	wxj	PROPN
alkej-494	79	3	y	y	PROPN
alkej-494	79	4	‚	‚	NOUN
alkej-494	79	5	0	0	PROPN
alkej-494	79	6	≤	≤	NUM
alkej-494	79	7	o	o	NOUN
alkej-494	79	8	≤	≤	ADJ
alkej-494	79	9	j.	j.	PROPN
alkej-494	79	10	…	…	SYM
alkej-494	79	11	�	�	PROPN
alkej-494	79	12	2.22	2.22	NUM
alkej-494	79	13	where	where	SCONJ
alkej-494	79	14	p(x	p(x	NOUN
alkej-494	79	15	)	)	PUNCT
alkej-494	79	16	can	can	AUX
alkej-494	79	17	be	be	AUX
alkej-494	79	18	a	a	DET
alkej-494	79	19	count	count	NOUN
alkej-494	79	20	a	a	DET
alkej-494	79	21	qualitative	qualitative	ADJ
alkej-494	79	22	continuous	continuous	ADJ
alkej-494	79	23	function	function	NOUN
alkej-494	79	24	that	that	SCONJ
alkej-494	79	25	,	,	PUNCT
alkej-494	79	26	whatever	whatever	PRON
alkej-494	79	27	of	of	ADP
alkej-494	79	28	b.cs	b.cs	ADJ
alkej-494	79	29	,	,	PUNCT
alkej-494	79	30	is	be	AUX
alkej-494	79	31	permanently	permanently	ADV
alkej-494	79	32	elected	elect	VERB
alkej-494	79	33	to	to	PART
alkej-494	79	34	accept	accept	VERB
alkej-494	79	35	the	the	DET
alkej-494	79	36	subsequent	subsequent	ADJ
alkej-494	79	37	equations	equation	NOUN
alkej-494	80	1	[	[	X
alkej-494	80	2	9	9	NUM
alkej-494	80	3	]	]	PUNCT
alkej-494	80	4	:	:	PUNCT
alkej-494	80	5	{	{	PUNCT
alkej-494	80	6	|||	|||	NOUN
alkej-494	80	7	�	�	PROPN
alkej-494	80	8	0	0	NUM
alkej-494	80	9	=	=	SYM
alkej-494	80	10	}	}	PUNCT
alkej-494	80	11	|||	|||	PROPN
alkej-494	80	12	�	�	PROPN
alkej-494	80	13	0	0	NUM
alkej-494	80	14	=	=	SYM
alkej-494	80	15	~	~	PUNCT
alkej-494	80	16	�	�	PROPN
alkej-494	80	17	…	…	SYM
alkej-494	80	18	�	�	PROPN
alkej-494	80	19	2.23	2.23	NUM
alkej-494	80	20	{	{	PUNCT
alkej-494	80	21	|||	|||	PROPN
alkej-494	80	22	�	�	PROPN
alkej-494	80	23	j	j	NOUN
alkej-494	80	24	=	=	SYM
alkej-494	80	25	}	}	PUNCT
alkej-494	80	26	|||	|||	PROPN
alkej-494	80	27	�	�	PROPN
alkej-494	80	28	j	j	PROPN
alkej-494	80	29	=	=	SYM
alkej-494	80	30	~	~	PUNCT
alkej-494	80	31	�	�	PROPN
alkej-494	80	32	…	…	SYM
alkej-494	80	33	�	�	PROPN
alkej-494	80	34	2.24	2.24	NUM
alkej-494	80	35	{	{	PUNCT
alkej-494	80	36	|	|	NOUN
alkej-494	80	37	�	�	PROPN
alkej-494	80	38	0	0	NUM
alkej-494	80	39	=	=	SYM
alkej-494	80	40	}	}	PUNCT
alkej-494	80	41	|	|	NUM
alkej-494	80	42	�	�	SYM
alkej-494	80	43	0	0	NUM
alkej-494	80	44	=	=	SYM
alkej-494	80	45	�	�	PROPN
alkej-494	80	46	�	�	PROPN
alkej-494	80	47	…	…	SYM
alkej-494	80	48	�	�	PROPN
alkej-494	80	49	2.25	2.25	NUM
alkej-494	80	50	{	{	PUNCT
alkej-494	80	51	|	|	PROPN
alkej-494	80	52	�	�	PROPN
alkej-494	80	53	j	j	NOUN
alkej-494	80	54	=	=	SYM
alkej-494	80	55	}	}	PUNCT
alkej-494	80	56	|	|	NUM
alkej-494	80	57	�	�	PROPN
alkej-494	80	58	j	j	PROPN
alkej-494	80	59	=	=	SYM
alkej-494	80	60	�	�	PROPN
alkej-494	80	61	�	�	PROPN
alkej-494	80	62	…	…	SYM
alkej-494	80	63	�	�	PROPN
alkej-494	80	64	2.26	2.26	NUM
alkej-494	80	65	still	still	ADV
alkej-494	80	66	,	,	PUNCT
alkej-494	80	67	as	as	ADP
alkej-494	80	68	a	a	DET
alkej-494	80	69	continuous	continuous	ADJ
alkej-494	80	70	function	function	NOUN
alkej-494	80	71	that	that	PRON
alkej-494	80	72	accepts	accept	VERB
alkej-494	80	73	eq	eq	ADP
alkej-494	80	74	.	.	PUNCT
alkej-494	80	75	(	(	PUNCT
alkej-494	80	76	2.23)-(2.26	2.23)-(2.26	NUM
alkej-494	80	77	)	)	PUNCT
alkej-494	80	78	,	,	PUNCT
alkej-494	80	79	p(x	p(x	NOUN
alkej-494	80	80	)	)	PUNCT
alkej-494	80	81	formula	formula	NOUN
alkej-494	80	82	does	do	AUX
alkej-494	80	83	n’t	not	PART
alkej-494	80	84	consider	consider	VERB
alkej-494	80	85	the	the	DET
alkej-494	80	86	convergence	convergence	NOUN
alkej-494	80	87	of	of	ADP
alkej-494	80	88	the	the	DET
alkej-494	80	89	series	series	NOUN
alkej-494	80	90	of	of	ADP
alkej-494	80	91	the	the	DET
alkej-494	80	92	solution	solution	NOUN
alkej-494	80	93	.	.	PUNCT
alkej-494	81	1	so	so	ADV
alkej-494	81	2	,	,	PUNCT
alkej-494	81	3	the	the	DET
alkej-494	81	4	p(x	p(x	NOUN
alkej-494	81	5	)	)	PUNCT
alkej-494	81	6	function	function	NOUN
alkej-494	81	7	can	can	AUX
alkej-494	81	8	be	be	AUX
alkej-494	81	9	an	an	DET
alkej-494	81	10	option	option	NOUN
alkej-494	81	11	in	in	ADP
alkej-494	81	12	different	different	ADJ
alkej-494	81	13	desired	desire	VERB
alkej-494	81	14	shape	shape	NOUN
alkej-494	81	15	.	.	PUNCT
alkej-494	82	1	as	as	SCONJ
alkej-494	82	2	shown	show	VERB
alkej-494	82	3	,	,	PUNCT
alkej-494	82	4	postulate	postulate	VERB
alkej-494	82	5	that	that	SCONJ
alkej-494	82	6	p(x	p(x	PROPN
alkej-494	82	7	)	)	PUNCT
alkej-494	82	8	is	be	AUX
alkej-494	82	9	a	a	DET
alkej-494	82	10	polynomial	polynomial	ADJ
alkej-494	82	11	function	function	NOUN
alkej-494	82	12	,	,	PUNCT
alkej-494	82	13	{	{	PUNCT
alkej-494	82	14	�	�	X
alkej-494	82	15	o	o	NOUN
alkej-494	82	16	=	=	X
alkej-494	82	17	em	em	PRON
alkej-494	82	18	{	{	PUNCT
alkej-494	82	19	m	m	NOUN
alkej-494	82	20	vojy	vojy	NOUN
alkej-494	82	21	…	…	PUNCT
alkej-494	82	22	�	�	PROPN
alkej-494	82	23	2.27	2.27	NUM
alkej-494	82	24	�	�	PROPN
alkej-494	82	25	m0	m0	PROPN
alkej-494	82	26	�	�	PROPN
alkej-494	82	27	where	where	SCONJ
alkej-494	82	28	{	{	PUNCT
alkej-494	82	29	m	m	VERB
alkej-494	82	30	�	�	NOUN
alkej-494	82	31	o	o	NOUN
alkej-494	82	32	is	be	AUX
alkej-494	82	33	the	the	DET
alkej-494	82	34	legendre	legendre	PROPN
alkej-494	82	35	function	function	NOUN
alkej-494	82	36	em	em	PRON
alkej-494	82	37	is	be	AUX
alkej-494	82	38	the	the	DET
alkej-494	82	39	expansion	expansion	NOUN
alkej-494	82	40	constant	constant	ADJ
alkej-494	82	41	of	of	ADP
alkej-494	82	42	order	order	NOUN
alkej-494	82	43	n	n	CCONJ
alkej-494	82	44	,	,	PUNCT
alkej-494	82	45	the	the	DET
alkej-494	82	46	above	above	ADJ
alkej-494	82	47	expression	expression	NOUN
alkej-494	82	48	for	for	ADP
alkej-494	82	49	the	the	DET
alkej-494	82	50	function	function	NOUN
alkej-494	82	51	p(x	p(x	NOUN
alkej-494	82	52	)	)	PUNCT
alkej-494	82	53	can	can	AUX
alkej-494	82	54	be	be	AUX
alkej-494	82	55	express	express	ADJ
alkej-494	82	56	as	as	ADP
alkej-494	82	57	;	;	PUNCT
alkej-494	82	58	p	p	X
alkej-494	82	59	�	�	PROPN
alkej-494	82	60	x	x	SYM
alkej-494	82	61	=	=	SYM
alkej-494	82	62	�	�	PROPN
alkej-494	82	63	r	r	NOUN
alkej-494	82	64	�	�	PROPN
alkej-494	82	65	o	o	NOUN
alkej-494	82	66	]	]	PUNCT
alkej-494	82	67	�	�	PROPN
alkej-494	82	68	�	�	PROPN
alkej-494	82	69	…	…	SYM
alkej-494	82	70	�	�	PROPN
alkej-494	82	71	2.28	2.28	NUM
alkej-494	82	72	where	where	SCONJ
alkej-494	82	73	�	�	X
alkej-494	82	74	�	�	PROPN
alkej-494	82	75	=	=	SYM
alkej-494	82	76	{	{	PUNCT
alkej-494	82	77	~	~	NOUN
alkej-494	82	78	�	�	NOUN
alkej-494	82	79	‚~	‚~	PROPN
alkej-494	82	80	�	�	PROPN
alkej-494	82	81	‚	‚	NOUN
alkej-494	82	82	�	�	PROPN
alkej-494	82	83	�	�	PROPN
alkej-494	82	84	‚	‚	NOUN
alkej-494	82	85	�	�	NOUN
alkej-494	82	86	�	�	NOUN
alkej-494	82	87	}	}	PUNCT
alkej-494	82	88	]	]	PUNCT
alkej-494	82	89	…	…	PUNCT
alkej-494	82	90	.	.	PUNCT
alkej-494	83	1	�	�	PROPN
alkej-494	83	2	2.29	2.29	NUM
alkej-494	83	3	and	and	CCONJ
alkej-494	83	4	�	�	NOUN
alkej-494	83	5	r	r	NOUN
alkej-494	83	6	�	�	NOUN
alkej-494	83	7	o	o	NOUN
alkej-494	83	8	]	]	X
alkej-494	84	1	=	=	PUNCT
alkej-494	84	2	⎩⎪⎪	⎩⎪⎪	PUNCT
alkej-494	84	3	⎨	⎨	ADJ
alkej-494	84	4	⎪⎪⎧−	⎪⎪⎧−	ADV
alkej-494	84	5	�	�	PROPN
alkej-494	84	6	�	�	PROPN
alkej-494	84	7	�	�	PROPN
alkej-494	84	8	v	v	NOUN
alkej-494	84	9	�	�	PROPN
alkej-494	84	10	7	7	NUM
alkej-494	84	11	�	�	PROPN
alkej-494	84	12	�	�	PROPN
alkej-494	84	13	rv	rv	PROPN
alkej-494	84	14	�	�	PROPN
alkej-494	84	15	�	�	PROPN
alkej-494	84	16	�	�	PROPN
alkej-494	84	17	�	�	PROPN
alkej-494	84	18	r	r	NOUN
alkej-494	84	19	�	�	PROPN
alkej-494	84	20	v	v	NOUN
alkej-494	84	21	�	�	PROPN
alkej-494	84	22	7	7	NUM
alkej-494	84	23	�	�	PROPN
alkej-494	84	24	r	r	NOUN
alkej-494	84	25	�	�	PROPN
alkej-494	84	26	�	�	PROPN
alkej-494	84	27	�	�	PROPN
alkej-494	84	28	�	�	PROPN
alkej-494	84	29	�	�	PROPN
alkej-494	84	30	r	r	PROPN
alkej-494	84	31	�	�	PROPN
alkej-494	84	32	�	�	PROPN
alkej-494	84	33	�	�	PROPN
alkej-494	84	34	v	v	NOUN
alkej-494	84	35	�	�	PROPN
alkej-494	84	36	7	7	NUM
alkej-494	84	37	�	�	PROPN
alkej-494	84	38	�	�	PROPN
alkej-494	84	39	r	r	NOUN
alkej-494	84	40	�	�	PROPN
alkej-494	84	41	v	v	NOUN
alkej-494	84	42	�	�	PROPN
alkej-494	84	43	�	�	PROPN
alkej-494	84	44	�	�	PROPN
alkej-494	84	45	r	r	PROPN
alkej-494	84	46	�	�	PROPN
alkej-494	84	47	�	�	PROPN
alkej-494	84	48	�	�	PROPN
alkej-494	84	49	�	�	PROPN
alkej-494	84	50	�	�	PROPN
alkej-494	84	51	r	r	NOUN
alkej-494	84	52	�	�	PROPN
alkej-494	84	53	�	�	NOUN
alkej-494	84	54	rv7	rv7	NOUN
alkej-494	84	55	r	r	NOUN
alkej-494	84	56	�	�	PROPN
alkej-494	84	57	7	7	NUM
alkej-494	84	58	�	�	PROPN
alkej-494	84	59	v	v	NOUN
alkej-494	84	60	�	�	PROPN
alkej-494	84	61	�	�	PROPN
alkej-494	84	62	�	�	PROPN
alkej-494	84	63	r	r	NOUN
alkej-494	84	64	�	�	PROPN
alkej-494	84	65	�	�	PROPN
alkej-494	84	66	v	v	NOUN
alkej-494	84	67	�	�	PROPN
alkej-494	84	68	7r	7r	NUM
alkej-494	84	69	�	�	PROPN
alkej-494	84	70	�	�	PROPN
alkej-494	84	71	�	�	NOUN
alkej-494	84	72	r	r	NOUN
alkej-494	84	73	⎭⎪⎪	⎭⎪⎪	PUNCT
alkej-494	84	74	⎬	⎬	PROPN
alkej-494	84	75	⎪⎪⎫	⎪⎪⎫	PROPN
alkej-494	84	76	…	…	PUNCT
alkej-494	84	77	�	�	X
alkej-494	84	78	2.30	2.30	NUM
alkej-494	84	79	the	the	DET
alkej-494	84	80	results	result	NOUN
alkej-494	84	81	in	in	ADP
alkej-494	84	82	eq	eq	ADP
alkej-494	84	83	.	.	PUNCT
alkej-494	85	1	(	(	PUNCT
alkej-494	85	2	2.28)-(2.30	2.28)-(2.30	NUM
alkej-494	85	3	)	)	PUNCT
alkej-494	85	4	are	be	AUX
alkej-494	85	5	obtained	obtain	VERB
alkej-494	85	6	from	from	ADP
alkej-494	85	7	much	much	ADV
alkej-494	85	8	more	more	ADV
alkej-494	85	9	direct	direct	ADJ
alkej-494	85	10	but	but	CCONJ
alkej-494	85	11	general	general	ADJ
alkej-494	85	12	approaches	approach	NOUN
alkej-494	85	13	,	,	PUNCT
alkej-494	85	14	[	[	X
alkej-494	85	15	15	15	NUM
alkej-494	85	16	]	]	PUNCT
alkej-494	85	17	.	.	PUNCT
alkej-494	86	1	so	so	ADV
alkej-494	86	2	as	as	SCONJ
alkej-494	86	3	to	to	PART
alkej-494	86	4	find	find	VERB
alkej-494	86	5	the	the	DET
alkej-494	86	6	unknown	unknown	ADJ
alkej-494	86	7	constants	constant	NOUN
alkej-494	86	8	of	of	ADP
alkej-494	86	9	boundary	boundary	NOUN
alkej-494	86	10	,	,	PUNCT
alkej-494	86	11	~	~	SYM
alkej-494	86	12	�	�	NOUN
alkej-494	86	13	‚~	‚~	PROPN
alkej-494	86	14	�	�	PROPN
alkej-494	86	15	‚	‚	NOUN
alkej-494	86	16	�	�	PROPN
alkej-494	86	17	�	�	NOUN
alkej-494	86	18	‚	‚	PROPN
alkej-494	86	19	and	and	CCONJ
alkej-494	86	20	�	�	PROPN
alkej-494	86	21	�	�	PROPN
alkej-494	86	22	,	,	PUNCT
alkej-494	86	23	substitution	substitution	NOUN
alkej-494	86	24	of	of	ADP
alkej-494	86	25	eq	eq	PROPN
alkej-494	86	26	.	.	PUNCT
alkej-494	87	1	(	(	PUNCT
alkej-494	87	2	2.22	2.22	NUM
alkej-494	87	3	)	)	PUNCT
alkej-494	87	4	and	and	CCONJ
alkej-494	87	5	(	(	PUNCT
alkej-494	87	6	2.28	2.28	NUM
alkej-494	87	7	)	)	PUNCT
alkej-494	87	8	into	into	ADP
alkej-494	87	9	the	the	DET
alkej-494	87	10	boundary	boundary	ADJ
alkej-494	87	11	conditions	condition	NOUN
alkej-494	87	12	eq	eq	ADP
alkej-494	87	13	.	.	PUNCT
alkej-494	88	1	(	(	PUNCT
alkej-494	88	2	2.17)(2.20	2.17)(2.20	NUM
alkej-494	88	3	)	)	PUNCT
alkej-494	88	4	results	result	NOUN
alkej-494	88	5	in	in	ADP
alkej-494	88	6	:	:	PUNCT
alkej-494	88	7	�	�	PROPN
alkej-494	88	8	�	�	PROPN
alkej-494	88	9	=	=	SYM
alkej-494	88	10	�	�	PROPN
alkej-494	88	11	r7	r7	PROPN
alkej-494	88	12	�	�	PROPN
alkej-494	88	13	frljl	frljl	ADJ
alkej-494	88	14	u	u	PROPN
alkej-494	88	15	l0	l0	PROPN
alkej-494	88	16	�	�	PROPN
alkej-494	88	17	…	…	SYM
alkej-494	88	18	�	�	PROPN
alkej-494	88	19	2.31	2.31	NUM
alkej-494	88	20	where	where	SCONJ
alkej-494	88	21	�	�	NOUN
alkej-494	88	22	r	r	NOUN
alkej-494	88	23	=	=	SYM
alkej-494	88	24	⎣⎢	⎣⎢	PROPN
alkej-494	88	25	⎢⎢	⎢⎢	VERB
alkej-494	88	26	⎢⎢	⎢⎢	VERB
alkej-494	88	27	⎢⎢	⎢⎢	VERB
alkej-494	88	28	⎡1	⎡1	PROPN
alkej-494	88	29	+	+	PROPN
alkej-494	88	30	8@v	8@v	NUM
alkej-494	88	31	�	�	PROPN
alkej-494	88	32	j	j	PROPN
alkej-494	88	33	�	�	PROPN
alkej-494	88	34	360l	360l	PROPN
alkej-494	88	35	�	�	PROPN
alkej-494	88	36	�	�	PROPN
alkej-494	88	37	7@v	7@v	NUM
alkej-494	88	38	�	�	PROPN
alkej-494	88	39	j	j	PROPN
alkej-494	88	40	�	�	PROPN
alkej-494	88	41	360l	360l	PROPN
alkej-494	88	42	�	�	PROPN
alkej-494	88	43	�	�	PROPN
alkej-494	88	44	j3	j3	PROPN
alkej-494	88	45	j6	j6	PROPN
alkej-494	88	46	7@v	7@v	PROPN
alkej-494	88	47	�	�	PROPN
alkej-494	88	48	j	j	PROPN
alkej-494	88	49	�	�	PROPN
alkej-494	88	50	360l	360l	PROPN
alkej-494	88	51	�	�	NOUN
alkej-494	88	52	�	�	PROPN
alkej-494	88	53	1	1	NUM
alkej-494	88	54	+	+	SYM
alkej-494	88	55	8@v	8@v	NUM
alkej-494	88	56	�	�	PROPN
alkej-494	88	57	j	j	PROPN
alkej-494	88	58	�	�	PROPN
alkej-494	88	59	360l	360l	PROPN
alkej-494	88	60	�	�	PROPN
alkej-494	88	61	�	�	PROPN
alkej-494	88	62	j6	j6	PROPN
alkej-494	88	63	j3	j3	PROPN
alkej-494	88	64	−@v	−@v	PROPN
alkej-494	88	65	�	�	PROPN
alkej-494	88	66	j3l	j3l	PROPN
alkej-494	88	67	�	�	PROPN
alkej-494	88	68	�	�	PROPN
alkej-494	88	69	−@v	−@v	PROPN
alkej-494	88	70	�	�	PROPN
alkej-494	88	71	j3l	j3l	PROPN
alkej-494	88	72	�	�	PROPN
alkej-494	88	73	�	�	PROPN
alkej-494	88	74	wv	wv	PROPN
alkej-494	88	75	�	�	PROPN
alkej-494	88	76	l	l	PROPN
alkej-494	88	77	�	�	PROPN
alkej-494	88	78	�	�	PROPN
alkej-494	88	79	+	+	CCONJ
alkej-494	88	80	1j−1j	1j−1j	NUM
alkej-494	88	81	−@v	−@v	PROPN
alkej-494	88	82	�	�	PROPN
alkej-494	88	83	j6−@v	j6−@v	PROPN
alkej-494	88	84	�	�	PROPN
alkej-494	88	85	j6−1j	j6−1j	PROPN
alkej-494	88	86	wv	wv	PROPN
alkej-494	88	87	�	�	PROPN
alkej-494	88	88	l	l	PROPN
alkej-494	88	89	�	�	PROPN
alkej-494	88	90	�	�	PROPN
alkej-494	88	91	+	+	NUM
alkej-494	88	92	1j	1j	NUM
alkej-494	88	93	⎦⎥	⎦⎥	VERB
alkej-494	88	94	⎥⎥	⎥⎥	PROPN
alkej-494	88	95	⎥⎥	⎥⎥	NUM
alkej-494	88	96	⎥⎥	⎥⎥	ADJ
alkej-494	88	97	⎤	⎤	ADJ
alkej-494	88	98	…	…	PUNCT
alkej-494	88	99	�	�	PROPN
alkej-494	88	100	2.32	2.32	NUM
alkej-494	88	101	and	and	CCONJ
alkej-494	88	102	frl	frl	PROPN
alkej-494	88	103	=	=	SYM
alkej-494	88	104	¤	¤	PROPN
alkej-494	88	105	�	�	NOUN
alkej-494	88	106	−1	−1	NOUN
alkej-494	88	107	@v	@v	PROPN
alkej-494	88	108	�	�	PROPN
alkej-494	88	109	l	l	NOUN
alkej-494	88	110	�	�	PROPN
alkej-494	88	111	�	�	PROPN
alkej-494	88	112	�	�	PROPN
alkej-494	88	113	−1	−1	ADP
alkej-494	88	114	l	l	NOUN
alkej-494	88	115	@v	@v	PROPN
alkej-494	88	116	�	�	PROPN
alkej-494	88	117	l	l	NOUN
alkej-494	88	118	�	�	PROPN
alkej-494	88	119	�	�	PROPN
alkej-494	88	120	−	−	PROPN
alkej-494	88	121	srl	srl	PROPN
alkej-494	88	122	�	�	PROPN
alkej-494	88	123	−1	−1	NOUN
alkej-494	88	124	lsrl	lsrl	NOUN
alkej-494	88	125	¥	¥	X
alkej-494	88	126	]	]	PUNCT
alkej-494	88	127	…	…	PUNCT
alkej-494	88	128	�	�	NOUN
alkej-494	88	129	2.33	2.33	NUM
alkej-494	88	130	for	for	ADP
alkej-494	88	131	a	a	DET
alkej-494	88	132	totally	totally	ADV
alkej-494	88	133	free	free	ADJ
alkej-494	88	134	beam	beam	NOUN
alkej-494	88	135	,	,	PUNCT
alkej-494	88	136	it	it	PRON
alkej-494	88	137	must	must	AUX
alkej-494	88	138	be	be	AUX
alkej-494	88	139	reminded	remind	VERB
alkej-494	88	140	that	that	SCONJ
alkej-494	88	141	a	a	DET
alkej-494	88	142	matrix	matrix	NOUN
alkej-494	88	143	ha	ha	INTJ
alkej-494	88	144	becomes	become	VERB
alkej-494	88	145	single	single	ADJ
alkej-494	88	146	.	.	PUNCT
alkej-494	89	1	via	via	ADP
alkej-494	89	2	,	,	PUNCT
alkej-494	89	3	this	this	DET
alkej-494	89	4	case	case	NOUN
alkej-494	89	5	can	can	AUX
alkej-494	89	6	be	be	AUX
alkej-494	89	7	controlled	control	VERB
alkej-494	89	8	to	to	ADP
alkej-494	89	9	a	a	DET
alkej-494	89	10	few	few	ADJ
alkej-494	89	11	extension	extension	NOUN
alkej-494	89	12	by	by	ADP
alkej-494	89	13	imaginary	imaginary	ADJ
alkej-494	89	14	deliver	deliver	NOUN
alkej-494	89	15	springs	spring	NOUN
alkej-494	89	16	to	to	ADP
alkej-494	89	17	the	the	DET
alkej-494	89	18	edges	edge	NOUN
alkej-494	89	19	of	of	ADP
alkej-494	89	20	a	a	DET
alkej-494	89	21	beam	beam	NOUN
alkej-494	89	22	with	with	ADP
alkej-494	89	23	the	the	DET
alkej-494	89	24	littlest	littlest	ADJ
alkej-494	89	25	stiffness	stiffness	NOUN
alkej-494	89	26	.	.	PUNCT
alkej-494	90	1	it	it	PRON
alkej-494	90	2	has	have	AUX
alkej-494	90	3	been	be	AUX
alkej-494	90	4	exhibited	exhibit	VERB
alkej-494	90	5	in	in	ADP
alkej-494	90	6	[	[	X
alkej-494	90	7	19	19	NUM
alkej-494	90	8	]	]	PUNCT
alkej-494	90	9	.	.	PUNCT
alkej-494	91	1	in	in	ADP
alkej-494	91	2	such	such	ADJ
alkej-494	91	3	remediation	remediation	NOUN
alkej-494	91	4	via	via	ADP
alkej-494	91	5	the	the	DET
alkej-494	91	6	matrix	matrix	NOUN
alkej-494	91	7	might	might	AUX
alkej-494	91	8	be	be	AUX
alkej-494	91	9	unconditional	unconditional	ADJ
alkej-494	91	10	.	.	PUNCT
alkej-494	92	1	although	although	SCONJ
alkej-494	92	2	,	,	PUNCT
alkej-494	92	3	the	the	DET
alkej-494	92	4	functions	function	NOUN
alkej-494	92	5	are	be	AUX
alkej-494	92	6	much	much	ADV
alkej-494	92	7	more	more	ADV
alkej-494	92	8	appropriate	appropriate	ADJ
alkej-494	92	9	for	for	ADP
alkej-494	92	10	a	a	DET
alkej-494	92	11	specific	specific	ADJ
alkej-494	92	12	condition	condition	NOUN
alkej-494	92	13	and	and	CCONJ
alkej-494	92	14	can	can	AUX
alkej-494	92	15	be	be	AUX
alkej-494	92	16	instantly	instantly	ADV
alkej-494	92	17	applied	apply	VERB
alkej-494	92	18	in	in	ADP
alkej-494	92	19	the	the	DET
alkej-494	92	20	method	method	NOUN
alkej-494	92	21	of	of	ADP
alkej-494	92	22	rayleigh	rayleigh	PROPN
alkej-494	92	23	-	-	PUNCT
alkej-494	92	24	ritz	ritz	PROPN
alkej-494	92	25	as	as	ADP
alkej-494	92	26	the	the	DET
alkej-494	92	27	permissible	permissible	ADJ
alkej-494	92	28	functions	function	NOUN
alkej-494	92	29	.	.	PUNCT
alkej-494	93	1	by	by	ADP
alkej-494	93	2	applying	apply	VERB
alkej-494	93	3	eqs	eqs	PROPN
alkej-494	93	4	.	.	PUNCT
alkej-494	94	1	(	(	PUNCT
alkej-494	94	2	2.28	2.28	NUM
alkej-494	94	3	)	)	PUNCT
alkej-494	94	4	and	and	CCONJ
alkej-494	94	5	(	(	PUNCT
alkej-494	94	6	2.31	2.31	NUM
alkej-494	94	7	)	)	PUNCT
alkej-494	94	8	,	,	PUNCT
alkej-494	94	9	eq	eq	NOUN
alkej-494	94	10	.	.	PUNCT
alkej-494	95	1	(	(	PUNCT
alkej-494	95	2	2.22	2.22	NUM
alkej-494	95	3	)	)	PUNCT
alkej-494	95	4	can	can	AUX
alkej-494	95	5	be	be	AUX
alkej-494	95	6	expressed	express	VERB
alkej-494	95	7	as	as	ADP
alkej-494	95	8	1	1	NUM
alkej-494	95	9	�	�	NOUN
alkej-494	95	10	o	o	NOUN
alkej-494	95	11	=	=	SYM
alkej-494	95	12	jl	jl	PROPN
alkej-494	95	13	¦	¦	PROPN
alkej-494	95	14	lr	lr	PROPN
alkej-494	95	15	�	�	PROPN
alkej-494	95	16	o	o	PROPN
alkej-494	95	17	u	u	PROPN
alkej-494	95	18	l0	l0	PROPN
alkej-494	95	19	�	�	PROPN
alkej-494	95	20	…	…	PUNCT
alkej-494	95	21	�	�	PROPN
alkej-494	95	22	2.34	2.34	NUM
alkej-494	95	23	where	where	SCONJ
alkej-494	95	24	¦	¦	PROPN
alkej-494	95	25	lr	lr	PROPN
alkej-494	95	26	�	�	PROPN
alkej-494	95	27	o	o	NOUN
alkej-494	95	28	=	=	PUNCT
alkej-494	95	29	cos	cos	PROPN
alkej-494	95	30	srlo+	srlo+	ADP
alkej-494	95	31	�	�	PROPN
alkej-494	95	32	r	r	NOUN
alkej-494	95	33	�	�	PROPN
alkej-494	95	34	o	o	PROPN
alkej-494	95	35	�	�	PROPN
alkej-494	95	36	r7	r7	PROPN
alkej-494	95	37	�	�	PROPN
alkej-494	95	38	frl	frl	PROPN
alkej-494	95	39	…	…	SYM
alkej-494	95	40	�	�	PROPN
alkej-494	95	41	2.35	2.35	NUM
alkej-494	95	42	mathematically	mathematically	ADV
alkej-494	95	43	,	,	PUNCT
alkej-494	95	44	eq	eq	NOUN
alkej-494	95	45	.	.	PUNCT
alkej-494	96	1	(	(	PUNCT
alkej-494	96	2	2.34	2.34	NUM
alkej-494	96	3	)	)	PUNCT
alkej-494	96	4	suggests	suggest	VERB
alkej-494	96	5	that	that	SCONJ
alkej-494	96	6	all	all	PRON
alkej-494	96	7	of	of	ADP
alkej-494	96	8	the	the	DET
alkej-494	96	9	functions	function	NOUN
alkej-494	96	10	of	of	ADP
alkej-494	96	11	the	the	DET
alkej-494	96	12	beam	beam	NOUN
alkej-494	96	13	shown	show	VERB
alkej-494	96	14	as	as	ADP
alkej-494	96	15	a	a	DET
alkej-494	96	16	function	function	NOUN
alkej-494	96	17	in	in	ADP
alkej-494	96	18	the	the	DET
alkej-494	96	19	practical	practical	ADJ
alkej-494	96	20	area	area	NOUN
alkej-494	96	21	with	with	ADP
alkej-494	96	22	the	the	DET
alkej-494	96	23	principal	principal	ADJ
alkej-494	96	24	functions	function	NOUN
alkej-494	96	25	{	{	PUNCT
alkej-494	96	26	¦	¦	X
alkej-494	96	27	lr	lr	PROPN
alkej-494	96	28	�	�	PROPN
alkej-494	96	29	o	o	NOUN
alkej-494	96	30	:	:	PUNCT
alkej-494	96	31	w	w	NOUN
alkej-494	96	32	=	=	SYM
alkej-494	96	33	0	0	NUM
alkej-494	96	34	‚	‚	NUM
alkej-494	96	35	1	1	NUM
alkej-494	96	36	‚	‚	NUM
alkej-494	96	37	2	2	NUM
alkej-494	96	38	‚	‚	NOUN
alkej-494	96	39	…	…	PUNCT
alkej-494	96	40	…	…	PUNCT
alkej-494	96	41	…	…	PUNCT
alkej-494	96	42	}	}	PUNCT
alkej-494	96	43	.	.	PUNCT
alkej-494	97	1	therefore	therefore	ADV
alkej-494	97	2	,	,	PUNCT
alkej-494	97	3	eq	eq	ADJ
alkej-494	97	4	.	.	PUNCT
alkej-494	98	1	(	(	PUNCT
alkej-494	98	2	2.21	2.21	NUM
alkej-494	98	3	)	)	PUNCT
alkej-494	98	4	expressed	express	VERB
alkej-494	98	5	as	as	ADP
alkej-494	98	6	:	:	PUNCT
alkej-494	98	7	mohammed	mohammed	PROPN
alkej-494	98	8	b.	b.	PROPN
alkej-494	98	9	hammed	hammed	PROPN
alkej-494	98	10	al	al	PROPN
alkej-494	98	11	-	-	PUNCT
alkej-494	98	12	khwarizmi	khwarizmi	PROPN
alkej-494	98	13	engineering	engineering	NOUN
alkej-494	98	14	journal	journal	PROPN
alkej-494	98	15	,	,	PUNCT
alkej-494	98	16	vol	vol	NOUN
alkej-494	98	17	.	.	PROPN
alkej-494	98	18	15	15	NUM
alkej-494	98	19	,	,	PUNCT
alkej-494	98	20	no	no	INTJ
alkej-494	98	21	.	.	NOUN
alkej-494	98	22	4	4	NUM
alkej-494	98	23	,	,	PUNCT
alkej-494	98	24	p.p	p.p	PROPN
alkej-494	98	25	.	.	NOUN
alkej-494	98	26	2332	2332	NUM
alkej-494	98	27	(	(	PUNCT
alkej-494	98	28	2019	2019	NUM
alkej-494	98	29	)	)	PUNCT
alkej-494	98	30	27	27	NUM
alkej-494	98	31	1	1	NUM
alkej-494	98	32	�	�	NOUN
alkej-494	98	33	o‚q	o‚q	ADP
alkej-494	98	34	=	=	SYM
alkej-494	98	35	klm	klm	PROPN
alkej-494	98	36	¦	¦	PROPN
alkej-494	98	37	lr	lr	PROPN
alkej-494	98	38	�	�	PROPN
alkej-494	98	39	o	o	PROPN
alkej-494	98	40	¦	¦	PROPN
alkej-494	98	41	ms	ms	PROPN
alkej-494	98	42	�	�	PROPN
alkej-494	98	43	q	q	PROPN
alkej-494	98	44	u	u	PROPN
alkej-494	98	45	l	l	NOUN
alkej-494	98	46	,	,	PUNCT
alkej-494	98	47	m0	m0	PROPN
alkej-494	98	48	�	�	PROPN
alkej-494	98	49	…	…	PUNCT
alkej-494	98	50	�	�	PROPN
alkej-494	98	51	2.36	2.36	NUM
alkej-494	98	52	where	where	SCONJ
alkej-494	98	53	¦	¦	PROPN
alkej-494	98	54	ms	ms	PROPN
alkej-494	98	55	�	�	PROPN
alkej-494	98	56	q	q	PROPN
alkej-494	98	57	=	=	PUNCT
alkej-494	98	58	cos	cos	ADP
alkej-494	98	59	ssmq	ssmq	PROPN
alkej-494	98	60	+	+	CCONJ
alkej-494	98	61	�	�	PROPN
alkej-494	98	62	s	s	PART
alkej-494	98	63	�	�	PROPN
alkej-494	98	64	q	q	PROPN
alkej-494	98	65	�	�	PROPN
alkej-494	98	66	s7	s7	PROPN
alkej-494	98	67	�	�	PROPN
alkej-494	98	68	fsm	fsm	PROPN
alkej-494	98	69	…	…	PUNCT
alkej-494	98	70	�	�	PROPN
alkej-494	98	71	2.37	2.37	NUM
alkej-494	98	72	the	the	DET
alkej-494	98	73	terms	term	NOUN
alkej-494	98	74	for	for	ADP
alkej-494	98	75	�	�	PROPN
alkej-494	98	76	s	s	PART
alkej-494	98	77	�	�	PROPN
alkej-494	98	78	q	q	NOUN
alkej-494	98	79	‚	‚	NUM
alkej-494	98	80	�	�	PROPN
alkej-494	98	81	s	s	PART
alkej-494	98	82	jg9	jg9	PROPN
alkej-494	98	83	fsm	fsm	PROPN
alkej-494	98	84	can	can	AUX
alkej-494	98	85	be	be	AUX
alkej-494	98	86	,	,	PUNCT
alkej-494	98	87	correspondingly	correspondingly	ADV
alkej-494	98	88	,	,	PUNCT
alkej-494	98	89	found	find	VERB
alkej-494	98	90	from	from	ADP
alkej-494	98	91	eqs	eqs	PROPN
alkej-494	98	92	.	.	PUNCT
alkej-494	99	1	(	(	PUNCT
alkej-494	99	2	2.30	2.30	NUM
alkej-494	99	3	)	)	PUNCT
alkej-494	99	4	,	,	PUNCT
alkej-494	99	5	(	(	PUNCT
alkej-494	99	6	2.32	2.32	NUM
alkej-494	99	7	)	)	PUNCT
alkej-494	99	8	and	and	CCONJ
alkej-494	99	9	(	(	PUNCT
alkej-494	99	10	2.33	2.33	NUM
alkej-494	99	11	)	)	PUNCT
alkej-494	99	12	by	by	ADP
alkej-494	99	13	little	little	ADJ
alkej-494	99	14	shifting	shift	VERB
alkej-494	99	15	the	the	DET
alkej-494	99	16	xconcerning	xconcerning	NOUN
alkej-494	99	17	parameters	parameter	NOUN
alkej-494	99	18	by	by	ADP
alkej-494	99	19	the	the	DET
alkej-494	99	20	yconcerning	yconcerning	NOUN
alkej-494	99	21	.	.	PUNCT
alkej-494	100	1	2.5	2.5	NUM
alkej-494	100	2	determination	determination	NOUN
alkej-494	100	3	of	of	ADP
alkej-494	100	4	the	the	DET
alkej-494	100	5	natural	natural	ADJ
alkej-494	100	6	frequency	frequency	NOUN
alkej-494	100	7	under	under	ADP
alkej-494	100	8	in	in	ADP
alkej-494	100	9	-	-	PUNCT
alkej-494	100	10	plane	plane	NOUN
alkej-494	100	11	thermal	thermal	ADJ
alkej-494	100	12	buckling	buckling	NOUN
alkej-494	100	13	load	load	NOUN
alkej-494	100	14	substituting	substitute	VERB
alkej-494	100	15	eqs	eqs	PROPN
alkej-494	100	16	.	.	PUNCT
alkej-494	100	17	(	(	PUNCT
alkej-494	100	18	2.5	2.5	NUM
alkej-494	100	19	)	)	PUNCT
alkej-494	100	20	and	and	CCONJ
alkej-494	100	21	(	(	PUNCT
alkej-494	100	22	2.7	2.7	NUM
alkej-494	100	23	)	)	PUNCT
alkej-494	100	24	in	in	ADP
alkej-494	100	25	eq	eq	ADP
alkej-494	100	26	.	.	PUNCT
alkej-494	101	1	(	(	PUNCT
alkej-494	101	2	2.4	2.4	NUM
alkej-494	101	3	)	)	PUNCT
alkej-494	101	4	,	,	PUNCT
alkej-494	101	5	the	the	DET
alkej-494	101	6	total	total	ADJ
alkej-494	101	7	mechanical	mechanical	ADJ
alkej-494	101	8	energy	energy	NOUN
alkej-494	101	9	can	can	AUX
alkej-494	101	10	be	be	AUX
alkej-494	101	11	written	write	VERB
alkej-494	101	12	in	in	ADP
alkej-494	101	13	the	the	DET
alkej-494	101	14	following	follow	VERB
alkej-494	101	15	expressions	expression	NOUN
alkej-494	101	16	:	:	PUNCT
alkej-494	101	17	b	b	X
alkej-494	101	18	=	=	SYM
alkej-494	101	19	12	12	NUM
alkej-494	101	20	!	!	PUNCT
alkej-494	101	21	!	!	PUNCT
alkej-494	102	1	kl	kl	AUX
alkej-494	102	2	�	�	PROPN
alkej-494	102	3	�	�	PROPN
alkej-494	102	4	mn	mn	PROPN
alkej-494	102	5	1no	1no	PROPN
alkej-494	102	6	p	p	PROPN
alkej-494	103	1	+	+	NOUN
alkej-494	103	2	l	l	NOUN
alkej-494	103	3	mn	mn	PROPN
alkej-494	103	4	1nq	1nq	NOUN
alkej-494	103	5	p	p	X
alkej-494	103	6	r	r	NOUN
alkej-494	103	7	�	�	PROPN
alkej-494	103	8	s	s	PART
alkej-494	103	9	�	�	PROPN
alkej-494	103	10	+	+	CCONJ
alkej-494	103	11	l	l	PROPN
alkej-494	103	12	�	�	PROPN
alkej-494	103	13	�	�	NOUN
alkej-494	103	14	m2n	m2n	NOUN
alkej-494	103	15	1nonq	1nonq	NUM
alkej-494	103	16	p	p	NOUN
alkej-494	103	17	+	+	CCONJ
alkej-494	103	18	2	2	NUM
alkej-494	103	19	ml	ml	NOUN
alkej-494	103	20	�	�	PROPN
alkej-494	103	21	n	n	CCONJ
alkej-494	103	22	1no	1no	ADJ
alkej-494	103	23	n	n	CCONJ
alkej-494	103	24	1nq	1nq	ADJ
alkej-494	103	25	pt	pt	NOUN
alkej-494	103	26	9o	9o	NOUN
alkej-494	103	27	9q	9q	NUM
alkej-494	104	1	+	+	X
alkej-494	104	2	12	12	NUM
alkej-494	104	3	!	!	PUNCT
alkej-494	105	1	u@v	u@v	VERB
alkej-494	105	2	�	�	PROPN
alkej-494	105	3	1	1	NUM
alkej-494	105	4	+	+	NUM
alkej-494	105	5	wv	wv	PROPN
alkej-494	105	6	�	�	PROPN
alkej-494	105	7	xn1no	xn1no	PROPN
alkej-494	105	8	y	y	PROPN
alkej-494	105	9	zv0	zv0	PROPN
alkej-494	105	10	�	�	PROPN
alkej-494	105	11	9qs	9qs	PROPN
alkej-494	105	12	�	�	PROPN
alkej-494	105	13	+	+	CCONJ
alkej-494	105	14	12	12	NUM
alkej-494	105	15	!	!	PUNCT
alkej-494	106	1	u@v	u@v	VERB
alkej-494	106	2	�	�	PROPN
alkej-494	106	3	1	1	NUM
alkej-494	106	4	+	+	NUM
alkej-494	106	5	wv	wv	PROPN
alkej-494	106	6	�	�	PROPN
alkej-494	106	7	xn1nq	xn1nq	PROPN
alkej-494	106	8	y	y	PROPN
alkej-494	106	9	zv0r	zv0r	PROPN
alkej-494	106	10	9qs	9qs	PROPN
alkej-494	106	11	�	�	PROPN
alkej-494	106	12	+	+	CCONJ
alkej-494	106	13	12	12	NUM
alkej-494	106	14	!	!	PUNCT
alkej-494	107	1	u@[	u@[	PROPN
alkej-494	107	2	�	�	PROPN
alkej-494	107	3	1	1	NUM
alkej-494	107	4	+	+	SYM
alkej-494	107	5	w	w	PROPN
alkej-494	107	6	[	[	X
alkej-494	107	7	�	�	PROPN
alkej-494	107	8	xn1nq	xn1nq	PROPN
alkej-494	107	9	y	y	PROPN
alkej-494	107	10	z[0	z[0	PROPN
alkej-494	107	11	�	�	PROPN
alkej-494	107	12	9or	9or	PROPN
alkej-494	107	13	�	�	PROPN
alkej-494	108	1	+	+	CCONJ
alkej-494	108	2	12	12	NUM
alkej-494	108	3	!	!	PUNCT
alkej-494	109	1	u@[	u@[	PROPN
alkej-494	109	2	�	�	PROPN
alkej-494	109	3	1	1	NUM
alkej-494	109	4	+	+	SYM
alkej-494	109	5	w	w	PROPN
alkej-494	109	6	[	[	X
alkej-494	109	7	�	�	PROPN
alkej-494	109	8	xn1nq	xn1nq	PROPN
alkej-494	109	9	y	y	PROPN
alkej-494	109	10	z[0s	z[0s	PROPN
alkej-494	109	11	9o	9o	NOUN
alkej-494	109	12	r	r	NOUN
alkej-494	109	13	�	�	NOUN
alkej-494	109	14	−	−	PROPN
alkej-494	109	15	12	12	NUM
alkej-494	109	16	!	!	PUNCT
alkej-494	109	17	!	!	PUNCT
alkej-494	110	1	u\v	u\v	PROPN
alkej-494	110	2	]	]	X
alkej-494	111	1	xn1no	xn1no	PROPN
alkej-494	112	1	y	y	PROPN
alkej-494	112	2	+	+	PUNCT
alkej-494	112	3	\	\	PROPN
alkej-494	113	1	[	[	X
alkej-494	113	2	]	]	X
alkej-494	113	3	xn1nq	xn1nq	PROPN
alkej-494	113	4	y	y	PROPN
alkej-494	113	5	z	z	PROPN
alkej-494	113	6	9o	9o	NUM
alkej-494	113	7	9qr	9qr	ADJ
alkej-494	113	8	�	�	PROPN
alkej-494	113	9	s	s	PART
alkej-494	113	10	�	�	PROPN
alkej-494	113	11	−	−	PROPN
alkej-494	113	12	12	12	NUM
alkej-494	113	13	`	`	PUNCT
alkej-494	113	14	a	a	DET
alkej-494	113	15	231	231	NUM
alkej-494	113	16	9o	9o	NOUN
alkej-494	113	17	9q	9q	NOUN
alkej-494	113	18	…	…	PUNCT
alkej-494	113	19	�	�	NOUN
alkej-494	113	20	2.38	2.38	NUM
alkej-494	113	21	where	where	SCONJ
alkej-494	113	22	the	the	DET
alkej-494	113	23	transverse	transverse	ADJ
alkej-494	113	24	displacement	displacement	NOUN
alkej-494	113	25	(	(	PUNCT
alkej-494	113	26	13	13	NUM
alkej-494	113	27	is	be	AUX
alkej-494	113	28	substituted	substitute	VERB
alkej-494	113	29	as	as	SCONJ
alkej-494	113	30	mentioned	mention	VERB
alkej-494	113	31	in	in	ADP
alkej-494	113	32	section	section	NOUN
alkej-494	113	33	(	(	PUNCT
alkej-494	113	34	2.4	2.4	NUM
alkej-494	113	35	)	)	PUNCT
alkej-494	113	36	.	.	PUNCT
alkej-494	114	1	to	to	PART
alkej-494	114	2	calculate	calculate	VERB
alkej-494	114	3	the	the	DET
alkej-494	114	4	natural	natural	ADJ
alkej-494	114	5	frequency	frequency	NOUN
alkej-494	114	6	under	under	ADP
alkej-494	114	7	in	in	ADP
alkej-494	114	8	plane	plane	NOUN
alkej-494	114	9	thermal	thermal	ADJ
alkej-494	114	10	buckling	buckling	NOUN
alkej-494	114	11	load	load	NOUN
alkej-494	114	12	action	action	NOUN
alkej-494	114	13	;	;	PUNCT
alkej-494	114	14	\v	\v	X
alkej-494	114	15	]	]	PUNCT
alkej-494	114	16	is	be	AUX
alkej-494	114	17	left	leave	VERB
alkej-494	114	18	as	as	ADP
alkej-494	114	19	a	a	DET
alkej-494	114	20	known	known	ADJ
alkej-494	114	21	ratio	ratio	NOUN
alkej-494	114	22	of	of	ADP
alkej-494	114	23	the	the	DET
alkej-494	114	24	critical	critical	ADJ
alkej-494	114	25	thermal	thermal	ADJ
alkej-494	114	26	buckling	buckling	NOUN
alkej-494	114	27	load	load	NOUN
alkej-494	114	28	\d]̈	\d]̈	PROPN
alkej-494	114	29	.	.	PUNCT
alkej-494	115	1	performing	perform	VERB
alkej-494	115	2	the	the	DET
alkej-494	115	3	required	require	VERB
alkej-494	115	4	mathematical	mathematical	ADJ
alkej-494	115	5	processes	process	NOUN
alkej-494	115	6	(	(	PUNCT
alkej-494	115	7	integrations	integration	NOUN
alkej-494	115	8	and	and	CCONJ
alkej-494	115	9	differentiations	differentiation	NOUN
alkej-494	115	10	)	)	PUNCT
alkej-494	115	11	of	of	ADP
alkej-494	115	12	eq	eq	PROPN
alkej-494	115	13	.	.	PUNCT
alkej-494	116	1	(	(	PUNCT
alkej-494	116	2	2.38	2.38	NUM
alkej-494	116	3	)	)	PUNCT
alkej-494	116	4	and	and	CCONJ
alkej-494	116	5	using	use	VERB
alkej-494	116	6	ritz	ritz	PROPN
alkej-494	116	7	method	method	NOUN
alkej-494	116	8	we	we	PRON
alkej-494	116	9	get	get	VERB
alkej-494	116	10	:	:	PUNCT
alkej-494	117	1	nbnklm	nbnklm	PROPN
alkej-494	117	2	=	=	SYM
alkej-494	117	3	0	0	NUM
alkej-494	117	4	…	…	PUNCT
alkej-494	117	5	�	�	NOUN
alkej-494	117	6	2.39	2.39	NUM
alkej-494	117	7	eq	eq	NOUN
alkej-494	117	8	.	.	PUNCT
alkej-494	118	1	(	(	PUNCT
alkej-494	118	2	2.39	2.39	NUM
alkej-494	118	3	)	)	PUNCT
alkej-494	118	4	gives	give	VERB
alkej-494	118	5	homogenous	homogenous	ADJ
alkej-494	118	6	equations	equation	NOUN
alkej-494	118	7	as	as	SCONJ
alkej-494	118	8	follow	follow	VERB
alkej-494	118	9	:	:	PUNCT
alkej-494	119	1	©	©	PROPN
alkej-494	119	2	�	�	PROPN
alkej-494	119	3	klm‚\vv	klm‚\vv	PROPN
alkej-494	119	4	]	]	X
alkej-494	119	5	‚	‚	NOUN
alkej-494	119	6	`	`	PUNCT
alkej-494	119	7	�	�	X
alkej-494	119	8	=	=	SYM
alkej-494	119	9	0	0	SYM
alkej-494	120	1	©	©	PROPN
alkej-494	120	2	fª	fª	PROPN
alkej-494	120	3	«	«	PUNCT
alkej-494	120	4	¬gªji¬fg	¬gªji¬fg	NOUN
alkej-494	120	5	­g9	­g9	PROPN
alkej-494	120	6	®	®	NOUN
alkej-494	120	7	ª	ª	VERB
alkej-494	120	8	¬gi¬j¯	¬gi¬j¯	ADP
alkej-494	120	9	iℎ	iℎ	ADP
alkej-494	120	10	®	®	PROPN
alkej-494	120	11	ªwj¯	ªwj¯	PROPN
alkej-494	120	12	hiª	hiª	PROPN
alkej-494	120	13	®	®	PROPN
alkej-494	120	14	hh	hh	PROPN
alkej-494	120	15	…	…	PUNCT
alkej-494	120	16	�	�	PROPN
alkej-494	120	17	2.40	2.40	NUM
alkej-494	120	18	solving	solving	NOUN
alkej-494	120	19	eq	eq	NOUN
alkej-494	120	20	.	.	PUNCT
alkej-494	121	1	(	(	PUNCT
alkej-494	121	2	2.40	2.40	NUM
alkej-494	121	3	)	)	PUNCT
alkej-494	121	4	as	as	ADP
alkej-494	121	5	an	an	DET
alkej-494	121	6	eigen	eigen	NOUN
alkej-494	121	7	-	-	PUNCT
alkej-494	121	8	value	value	NOUN
alkej-494	121	9	problem	problem	NOUN
alkej-494	121	10	which	which	PRON
alkej-494	121	11	is	be	AUX
alkej-494	121	12	written	write	VERB
alkej-494	121	13	as	as	ADP
alkej-494	121	14	below	below	ADV
alkej-494	121	15	:	:	PUNCT
alkej-494	121	16	k	k	PROPN
alkej-494	121	17	j	j	PROPN
alkej-494	121	18	�	�	PROPN
alkej-494	121	19	‚	‚	PART
alkej-494	121	20	�	�	PROPN
alkej-494	121	21	⋯	⋯	PROPN
alkej-494	121	22	j	j	PROPN
alkej-494	121	23	�	�	PROPN
alkej-494	121	24	‚	‚	NOUN
alkej-494	121	25	�	�	PROPN
alkej-494	121	26	l∗m	l∗m	PUNCT
alkej-494	121	27	⋮	⋮	NOUN
alkej-494	121	28	⋱	⋱	PUNCT
alkej-494	121	29	⋮j	⋮j	PROPN
alkej-494	121	30	�	�	PROPN
alkej-494	121	31	l∗m	l∗m	NUM
alkej-494	121	32	‚	‚	NUM
alkej-494	121	33	�	�	PROPN
alkej-494	121	34	⋯	⋯	PROPN
alkej-494	121	35	j	j	PROPN
alkej-494	121	36	�	�	PROPN
alkej-494	121	37	l∗m	l∗m	NUM
alkej-494	121	38	‚	‚	NUM
alkej-494	121	39	�	�	PROPN
alkej-494	121	40	l∗m	l∗m	NUM
alkej-494	121	41	t	t	PROPN
alkej-494	121	42	µ	µ	PROPN
alkej-494	121	43	k	k	X
alkej-494	121	44	�	�	PROPN
alkej-494	121	45	�	�	PROPN
alkej-494	121	46	⋮klm	⋮klm	NOUN
alkej-494	121	47	¶	¶	PROPN
alkej-494	121	48	=	=	SYM
alkej-494	121	49	0	0	NUM
alkej-494	121	50	…	…	PUNCT
alkej-494	121	51	�	�	X
alkej-494	121	52	2.41	2.41	NUM
alkej-494	121	53	where	where	SCONJ
alkej-494	121	54	j·¸	j·¸	PROPN
alkej-494	121	55	are	be	AUX
alkej-494	121	56	the	the	DET
alkej-494	121	57	coefficients	coefficient	NOUN
alkej-494	121	58	of	of	ADP
alkej-494	121	59	the	the	DET
alkej-494	121	60	nonzero	nonzero	PROPN
alkej-494	121	61	unknowns	unknowns	PROPN
alkej-494	121	62	klm	klm	PROPN
alkej-494	121	63	.	.	PUNCT
alkej-494	122	1	finding	find	VERB
alkej-494	122	2	the	the	DET
alkej-494	122	3	determinant	determinant	NOUN
alkej-494	122	4	of	of	ADP
alkej-494	122	5	the	the	DET
alkej-494	122	6	first	first	ADJ
alkej-494	122	7	term	term	NOUN
alkej-494	122	8	of	of	ADP
alkej-494	122	9	eq	eq	NOUN
alkej-494	122	10	.	.	PUNCT
alkej-494	123	1	(	(	PUNCT
alkej-494	123	2	2.41	2.41	NUM
alkej-494	123	3	)	)	PUNCT
alkej-494	123	4	and	and	CCONJ
alkej-494	123	5	equating	equate	VERB
alkej-494	123	6	it	it	PRON
alkej-494	123	7	to	to	ADP
alkej-494	123	8	zero	zero	NUM
alkej-494	123	9	will	will	AUX
alkej-494	123	10	lead	lead	VERB
alkej-494	123	11	to	to	PART
alkej-494	123	12	get	get	VERB
alkej-494	123	13	the	the	DET
alkej-494	123	14	natural	natural	ADJ
alkej-494	123	15	frequencies	frequency	NOUN
alkej-494	123	16	`	`	PUNCT
alkej-494	123	17	under	under	ADP
alkej-494	123	18	intial	intial	ADJ
alkej-494	123	19	thermal	thermal	ADJ
alkej-494	123	20	stress	stress	NOUN
alkej-494	123	21	\d]̈	\d]̈	NUM
alkej-494	123	22	when	when	SCONJ
alkej-494	123	23	m	m	VERB
alkej-494	123	24	and	and	CCONJ
alkej-494	123	25	n	n	CCONJ
alkej-494	123	26	are	be	AUX
alkej-494	123	27	more	more	ADJ
alkej-494	123	28	than	than	ADP
alkej-494	123	29	1	1	NUM
alkej-494	123	30	,	,	PUNCT
alkej-494	123	31	the	the	DET
alkej-494	123	32	natural	natural	ADJ
alkej-494	123	33	frequencies	frequency	NOUN
alkej-494	123	34	`	`	PUNCT
alkej-494	123	35	under	under	ADP
alkej-494	123	36	intial	intial	ADJ
alkej-494	123	37	thermal	thermal	ADJ
alkej-494	123	38	stress	stress	NOUN
alkej-494	123	39	\d]̈	\d]̈	PROPN
alkej-494	123	40	is	be	AUX
alkej-494	123	41	determined	determine	VERB
alkej-494	123	42	by	by	ADP
alkej-494	123	43	solving	solve	VERB
alkej-494	123	44	the	the	DET
alkej-494	123	45	eigen	eigen	PROPN
alkej-494	123	46	value	value	NOUN
alkej-494	123	47	problem	problem	NOUN
alkej-494	123	48	.	.	PUNCT
alkej-494	124	1	for	for	ADP
alkej-494	124	2	different	different	ADJ
alkej-494	124	3	edge	edge	NOUN
alkej-494	124	4	conditions	condition	NOUN
alkej-494	124	5	and	and	CCONJ
alkej-494	124	6	m	m	PROPN
alkej-494	124	7	and	and	CCONJ
alkej-494	124	8	n	n	CCONJ
alkej-494	124	9	greater	great	ADJ
alkej-494	124	10	than	than	ADP
alkej-494	124	11	1	1	NUM
alkej-494	124	12	,	,	PUNCT
alkej-494	124	13	the	the	DET
alkej-494	124	14	solution	solution	NOUN
alkej-494	124	15	becomes	become	VERB
alkej-494	124	16	more	more	ADV
alkej-494	124	17	difficult	difficult	ADJ
alkej-494	124	18	and	and	CCONJ
alkej-494	124	19	needs	need	VERB
alkej-494	124	20	computer	computer	NOUN
alkej-494	124	21	programming	programming	NOUN
alkej-494	124	22	to	to	PART
alkej-494	124	23	find	find	VERB
alkej-494	124	24	natural	natural	ADJ
alkej-494	124	25	frequencies	frequency	NOUN
alkej-494	124	26	.	.	PUNCT
alkej-494	125	1	in	in	ADP
alkej-494	125	2	this	this	DET
alkej-494	125	3	study	study	NOUN
alkej-494	125	4	matlab	matlab	PROPN
alkej-494	125	5	r2017b	r2017b	PROPN
alkej-494	125	6	is	be	AUX
alkej-494	125	7	used	use	VERB
alkej-494	125	8	to	to	PART
alkej-494	125	9	numerically	numerically	ADV
alkej-494	125	10	solve	solve	VERB
alkej-494	125	11	the	the	DET
alkej-494	125	12	eigen	eigen	PROPN
alkej-494	125	13	value	value	NOUN
alkej-494	125	14	problem	problem	NOUN
alkej-494	125	15	to	to	PART
alkej-494	125	16	find	find	VERB
alkej-494	125	17	the	the	DET
alkej-494	125	18	natural	natural	ADJ
alkej-494	125	19	frequency	frequency	NOUN
alkej-494	125	20	under	under	ADP
alkej-494	125	21	thermal	thermal	ADJ
alkej-494	125	22	buckling	buckle	VERB
alkej-494	125	23	action	action	NOUN
alkej-494	125	24	.	.	PUNCT
alkej-494	126	1	3	3	X
alkej-494	126	2	.	.	X
alkej-494	126	3	numerical	numerical	PROPN
alkej-494	126	4	result	result	VERB
alkej-494	126	5	the	the	DET
alkej-494	126	6	natural	natural	ADJ
alkej-494	126	7	frequency	frequency	NOUN
alkej-494	126	8	under	under	ADP
alkej-494	126	9	the	the	DET
alkej-494	126	10	ratio	ratio	NOUN
alkej-494	126	11	of	of	ADP
alkej-494	126	12	thermal	thermal	ADJ
alkej-494	126	13	buckling	buckling	NOUN
alkej-494	126	14	of	of	ADP
alkej-494	126	15	composite	composite	ADJ
alkej-494	126	16	laminated	laminate	VERB
alkej-494	126	17	plate	plate	NOUN
alkej-494	126	18	with	with	ADP
alkej-494	126	19	the	the	DET
alkej-494	126	20	general	general	ADJ
alkej-494	126	21	elastic	elastic	ADJ
alkej-494	126	22	boundary	boundary	NOUN
alkej-494	126	23	condition	condition	NOUN
alkej-494	126	24	is	be	AUX
alkej-494	126	25	analyzed	analyze	VERB
alkej-494	126	26	and	and	CCONJ
alkej-494	126	27	solved	solve	VERB
alkej-494	126	28	using	use	VERB
alkej-494	126	29	matlab	matlab	PROPN
alkej-494	126	30	r2017b	r2017b	PROPN
alkej-494	126	31	.	.	PROPN
alkej-494	126	32	to	to	PART
alkej-494	126	33	verify	verify	VERB
alkej-494	126	34	the	the	DET
alkej-494	126	35	derived	derive	VERB
alkej-494	126	36	equations	equation	NOUN
alkej-494	126	37	and	and	CCONJ
alkej-494	126	38	performance	performance	NOUN
alkej-494	126	39	of	of	ADP
alkej-494	126	40	computer	computer	NOUN
alkej-494	126	41	programming	programming	NOUN
alkej-494	126	42	for	for	ADP
alkej-494	126	43	vibration	vibration	NOUN
alkej-494	126	44	analysis	analysis	NOUN
alkej-494	126	45	of	of	ADP
alkej-494	126	46	composite	composite	ADJ
alkej-494	126	47	laminated	laminate	VERB
alkej-494	126	48	plate	plate	NOUN
alkej-494	126	49	,	,	PUNCT
alkej-494	126	50	the	the	DET
alkej-494	126	51	numerical	numerical	ADJ
alkej-494	126	52	results	result	NOUN
alkej-494	126	53	of	of	ADP
alkej-494	126	54	composite	composite	ADJ
alkej-494	126	55	laminated	laminate	VERB
alkej-494	126	56	plate	plate	NOUN
alkej-494	126	57	were	be	AUX
alkej-494	126	58	compared	compare	VERB
alkej-494	126	59	with	with	ADP
alkej-494	126	60	those	those	PRON
alkej-494	126	61	obtained	obtain	VERB
alkej-494	126	62	by	by	ADP
alkej-494	126	63	other	other	ADJ
alkej-494	126	64	researchers	researcher	NOUN
alkej-494	126	65	and	and	CCONJ
alkej-494	126	66	those	those	PRON
alkej-494	126	67	obtained	obtain	VERB
alkej-494	126	68	by	by	ADP
alkej-494	126	69	numerical	numerical	PROPN
alkej-494	126	70	program	program	PROPN
alkej-494	126	71	ansys	ansys	PROPN
alkej-494	126	72	.	.	PUNCT
alkej-494	127	1	the	the	DET
alkej-494	127	2	frequencies	frequency	NOUN
alkej-494	127	3	are	be	AUX
alkej-494	127	4	investigated	investigate	VERB
alkej-494	127	5	with	with	ADP
alkej-494	127	6	the	the	DET
alkej-494	127	7	effect	effect	NOUN
alkej-494	127	8	of	of	ADP
alkej-494	127	9	the	the	DET
alkej-494	127	10	in	in	ADP
alkej-494	127	11	-	-	PUNCT
alkej-494	127	12	plane	plane	NOUN
alkej-494	127	13	thermal	thermal	ADJ
alkej-494	127	14	loading	loading	NOUN
alkej-494	127	15	which	which	PRON
alkej-494	127	16	is	be	AUX
alkej-494	127	17	ratio	ratio	NOUN
alkej-494	127	18	of	of	ADP
alkej-494	127	19	critical	critical	ADJ
alkej-494	127	20	thermal	thermal	ADJ
alkej-494	127	21	buckling	buckling	NOUN
alkej-494	127	22	load	load	NOUN
alkej-494	127	23	.	.	PUNCT
alkej-494	128	1	several	several	ADJ
alkej-494	128	2	considerations	consideration	NOUN
alkej-494	128	3	are	be	AUX
alkej-494	128	4	presented	present	VERB
alkej-494	128	5	to	to	PART
alkej-494	128	6	investigate	investigate	VERB
alkej-494	128	7	the	the	DET
alkej-494	128	8	frequency	frequency	NOUN
alkej-494	128	9	.	.	PUNCT
alkej-494	129	1	in	in	ADP
alkej-494	129	2	case	case	NOUN
alkej-494	129	3	of	of	ADP
alkej-494	129	4	in	in	ADP
alkej-494	129	5	-	-	PUNCT
alkej-494	129	6	plane	plane	NOUN
alkej-494	129	7	action	action	NOUN
alkej-494	129	8	,	,	PUNCT
alkej-494	129	9	a	a	DET
alkej-494	129	10	ratio	ratio	NOUN
alkej-494	129	11	(	(	PUNCT
alkej-494	129	12	d	d	NOUN
alkej-494	129	13	)	)	PUNCT
alkej-494	129	14	of	of	ADP
alkej-494	129	15	critical	critical	ADJ
alkej-494	129	16	thermal	thermal	ADJ
alkej-494	129	17	load	load	NOUN
alkej-494	129	18	is	be	AUX
alkej-494	129	19	applied	apply	VERB
alkej-494	129	20	.	.	PUNCT
alkej-494	130	1	the	the	DET
alkej-494	130	2	effective	effective	ADJ
alkej-494	130	3	ratio	ratio	NOUN
alkej-494	130	4	(	(	PUNCT
alkej-494	130	5	d	d	NOUN
alkej-494	130	6	)	)	PUNCT
alkej-494	130	7	is	be	AUX
alkej-494	130	8	studied	study	VERB
alkej-494	130	9	to	to	PART
alkej-494	130	10	present	present	VERB
alkej-494	130	11	the	the	DET
alkej-494	130	12	behavior	behavior	NOUN
alkej-494	130	13	of	of	ADP
alkej-494	130	14	the	the	DET
alkej-494	130	15	plate	plate	NOUN
alkej-494	130	16	and	and	CCONJ
alkej-494	130	17	its	its	PRON
alkej-494	130	18	frequency	frequency	NOUN
alkej-494	130	19	.	.	PUNCT
alkej-494	131	1	the	the	DET
alkej-494	131	2	dimensionless	dimensionless	ADJ
alkej-494	131	3	fundamental	fundamental	ADJ
alkej-494	131	4	frequency	frequency	NOUN
alkej-494	131	5	for	for	ADP
alkej-494	131	6	all	all	DET
alkej-494	131	7	edges	edge	NOUN
alkej-494	131	8	simply	simply	ADV
alkej-494	131	9	supported	support	VERB
alkej-494	131	10	symmetric	symmetric	ADJ
alkej-494	131	11	cross	cross	ADJ
alkej-494	131	12	-	-	ADJ
alkej-494	131	13	ply	ply	ADJ
alkej-494	131	14	[	[	X
alkej-494	131	15	0/90/0	0/90/0	X
alkej-494	131	16	]	]	X
alkej-494	131	17	square	square	ADJ
alkej-494	131	18	plates	plate	NOUN
alkej-494	131	19	under	under	ADP
alkej-494	131	20	two	two	NUM
alkej-494	131	21	sets	set	NOUN
alkej-494	131	22	of	of	ADP
alkej-494	131	23	thermal	thermal	ADJ
alkej-494	131	24	loading	loading	NOUN
alkej-494	131	25	conditions	condition	NOUN
alkej-494	131	26	with	with	ADP
alkej-494	131	27	various	various	ADJ
alkej-494	131	28	side	side	NOUN
alkej-494	131	29	-	-	PUNCT
alkej-494	131	30	to	to	NOUN
alkej-494	131	31	thickness	thickness	NOUN
alkej-494	131	32	ratios	ratio	NOUN
alkej-494	131	33	are	be	AUX
alkej-494	131	34	obtained	obtain	VERB
alkej-494	131	35	and	and	CCONJ
alkej-494	131	36	presented	present	VERB
alkej-494	131	37	in	in	ADP
alkej-494	131	38	table	table	NOUN
alkej-494	131	39	1	1	NUM
alkej-494	131	40	along	along	ADP
alkej-494	131	41	with	with	ADP
alkej-494	131	42	those	those	PRON
alkej-494	131	43	available	available	ADJ
alkej-494	131	44	in	in	ADP
alkej-494	131	45	the	the	DET
alkej-494	131	46	[	[	X
alkej-494	131	47	1	1	NUM
alkej-494	131	48	]	]	PUNCT
alkej-494	131	49	,	,	PUNCT
alkej-494	131	50	used	use	VERB
alkej-494	131	51	a	a	DET
alkej-494	131	52	finite	finite	ADJ
alkej-494	131	53	element	element	NOUN
alkej-494	131	54	method	method	NOUN
alkej-494	131	55	based	base	VERB
alkej-494	131	56	on	on	ADP
alkej-494	131	57	higher	high	ADJ
alkej-494	131	58	order	order	NOUN
alkej-494	131	59	shear	shear	NOUN
alkej-494	131	60	deformation	deformation	NOUN
alkej-494	131	61	theory	theory	NOUN
alkej-494	131	62	.	.	PUNCT
alkej-494	132	1	from	from	ADP
alkej-494	132	2	the	the	DET
alkej-494	132	3	table	table	NOUN
alkej-494	132	4	,	,	PUNCT
alkej-494	132	5	as	as	SCONJ
alkej-494	132	6	expected	expect	VERB
alkej-494	132	7	natural	natural	ADJ
alkej-494	132	8	frequencies	frequency	NOUN
alkej-494	132	9	decrease	decrease	VERB
alkej-494	132	10	with	with	ADP
alkej-494	132	11	increasing	increase	VERB
alkej-494	132	12	temperature	temperature	NOUN
alkej-494	132	13	and	and	CCONJ
alkej-494	132	14	thickness	thickness	NOUN
alkej-494	132	15	ratio	ratio	NOUN
alkej-494	132	16	due	due	ADJ
alkej-494	132	17	to	to	ADP
alkej-494	132	18	reduced	reduce	VERB
alkej-494	132	19	plate	plate	NOUN
alkej-494	132	20	stiffness	stiffness	NOUN
alkej-494	132	21	it	it	PRON
alkej-494	132	22	can	can	AUX
alkej-494	132	23	also	also	ADV
alkej-494	132	24	be	be	AUX
alkej-494	132	25	seen	see	VERB
alkej-494	132	26	that	that	SCONJ
alkej-494	132	27	the	the	DET
alkej-494	132	28	present	present	ADJ
alkej-494	132	29	results	result	NOUN
alkej-494	132	30	are	be	AUX
alkej-494	132	31	in	in	ADP
alkej-494	132	32	good	good	ADJ
alkej-494	132	33	agreement	agreement	NOUN
alkej-494	132	34	.	.	PUNCT
alkej-494	133	1	the	the	DET
alkej-494	133	2	material	material	NOUN
alkej-494	133	3	properties	property	NOUN
alkej-494	133	4	are	be	AUX
alkej-494	133	5	:	:	PUNCT
alkej-494	133	6	mohammed	mohammed	PROPN
alkej-494	133	7	b.	b.	PROPN
alkej-494	133	8	hammed	hammed	PROPN
alkej-494	133	9	al	al	PROPN
alkej-494	133	10	-	-	PUNCT
alkej-494	133	11	khwarizmi	khwarizmi	PROPN
alkej-494	133	12	engineering	engineering	NOUN
alkej-494	133	13	journal	journal	PROPN
alkej-494	133	14	,	,	PUNCT
alkej-494	133	15	vol	vol	NOUN
alkej-494	133	16	.	.	PROPN
alkej-494	133	17	15	15	NUM
alkej-494	133	18	,	,	PUNCT
alkej-494	133	19	no	no	INTJ
alkej-494	133	20	.	.	NOUN
alkej-494	133	21	4	4	NUM
alkej-494	133	22	,	,	PUNCT
alkej-494	133	23	p.p	p.p	PROPN
alkej-494	133	24	.	.	NOUN
alkej-494	133	25	2332	2332	NUM
alkej-494	133	26	(	(	PUNCT
alkej-494	133	27	2019	2019	NUM
alkej-494	133	28	)	)	PUNCT
alkej-494	133	29	28	28	NUM
alkej-494	133	30	table	table	NOUN
alkej-494	133	31	1	1	NUM
alkej-494	133	32	,	,	PUNCT
alkej-494	133	33	dimensionless	dimensionless	ADJ
alkej-494	133	34	first	first	ADJ
alkej-494	133	35	mode	mode	NOUN
alkej-494	133	36	frequency	frequency	NOUN
alkej-494	133	37	�	�	PROPN
alkej-494	133	38	¼	¼	NOUN
alkej-494	133	39	�	�	NOUN
alkej-494	133	40	=	=	PUNCT
alkej-494	133	41	¼½¾¿àáâ	¼½¾¿àáâ	PROPN
alkej-494	133	42	ã¿⁄	ã¿⁄	PUNCT
alkej-494	134	1	å⁄	å⁄	NUM
alkej-494	134	2	�	�	NOUN
alkej-494	134	3	,	,	PUNCT
alkej-494	134	4	for	for	ADP
alkej-494	134	5	[	[	PUNCT
alkej-494	134	6	0	0	NUM
alkej-494	134	7	90	90	NUM
alkej-494	134	8	0	0	NUM
alkej-494	134	9	]	]	PUNCT
alkej-494	134	10	plates	plate	NOUN
alkej-494	134	11	under	under	ADP
alkej-494	134	12	different	different	ADJ
alkej-494	134	13	load	load	NOUN
alkej-494	134	14	temperature	temperature	NOUN
alkej-494	134	15	)	)	PUNCT
alkej-494	134	16	also	also	ADV
alkej-494	134	17	obtained	obtain	VERB
alkej-494	134	18	natural	natural	ADJ
alkej-494	134	19	frequencies	frequency	NOUN
alkej-494	134	20	under	under	ADP
alkej-494	134	21	different	different	ADJ
alkej-494	134	22	load	load	NOUN
alkej-494	134	23	temperature	temperature	NOUN
alkej-494	134	24	are	be	AUX
alkej-494	134	25	compared	compare	VERB
alkej-494	134	26	with	with	ADP
alkej-494	134	27	the	the	DET
alkej-494	134	28	results	result	NOUN
alkej-494	134	29	that	that	PRON
alkej-494	134	30	obtained	obtain	VERB
alkej-494	134	31	by	by	ADP
alkej-494	134	32	[	[	X
alkej-494	134	33	17	17	NUM
alkej-494	134	34	]	]	PUNCT
alkej-494	134	35	,	,	PUNCT
alkej-494	134	36	which	which	PRON
alkej-494	134	37	they	they	PRON
alkej-494	134	38	applied	apply	VERB
alkej-494	134	39	the	the	DET
alkej-494	134	40	classical	classical	ADJ
alkej-494	134	41	laminate	laminate	NOUN
alkej-494	134	42	theory	theory	NOUN
alkej-494	134	43	(	(	PUNCT
alkej-494	134	44	clt	clt	PROPN
alkej-494	134	45	)	)	PUNCT
alkej-494	134	46	and	and	CCONJ
alkej-494	134	47	first	first	ADJ
alkej-494	134	48	order	order	NOUN
alkej-494	134	49	shear	shear	ADJ
alkej-494	134	50	deformation	deformation	NOUN
alkej-494	134	51	theory	theory	NOUN
alkej-494	134	52	(	(	PUNCT
alkej-494	134	53	fosdt	fosdt	NOUN
alkej-494	134	54	)	)	PUNCT
alkej-494	134	55	as	as	SCONJ
alkej-494	134	56	listed	list	VERB
alkej-494	134	57	in	in	ADP
alkej-494	134	58	table	table	NOUN
alkej-494	134	59	2	2	NUM
alkej-494	134	60	.	.	PUNCT
alkej-494	135	1	as	as	SCONJ
alkej-494	135	2	expected	expect	VERB
alkej-494	135	3	natural	natural	ADJ
alkej-494	135	4	frequencies	frequency	NOUN
alkej-494	135	5	decrease	decrease	NOUN
alkej-494	135	6	as	as	ADP
alkej-494	135	7	the	the	DET
alkej-494	135	8	temperature	temperature	NOUN
alkej-494	135	9	increase	increase	NOUN
alkej-494	135	10	due	due	ADP
alkej-494	135	11	to	to	ADP
alkej-494	135	12	reduction	reduction	NOUN
alkej-494	135	13	of	of	ADP
alkej-494	135	14	plate	plate	NOUN
alkej-494	135	15	stiffness	stiffness	NOUN
alkej-494	135	16	,	,	PUNCT
alkej-494	135	17	a	a	DET
alkej-494	135	18	rectangular	rectangular	ADJ
alkej-494	135	19	laminated	laminate	VERB
alkej-494	135	20	plate	plate	NOUN
alkej-494	135	21	with	with	ADP
alkej-494	135	22	dimensions	dimension	NOUN
alkej-494	135	23	600	600	NUM
alkej-494	135	24	×	×	NOUN
alkej-494	135	25	400	400	NUM
alkej-494	135	26	×	×	NOUN
alkej-494	135	27	5	5	NUM
alkej-494	135	28	mm3	mm3	NOUN
alkej-494	135	29	is	be	AUX
alkej-494	135	30	considered	consider	VERB
alkej-494	135	31	.	.	PUNCT
alkej-494	136	1	the	the	DET
alkej-494	136	2	plate	plate	NOUN
alkej-494	136	3	is	be	AUX
alkej-494	136	4	composed	compose	VERB
alkej-494	136	5	of	of	ADP
alkej-494	136	6	five	five	NUM
alkej-494	136	7	layers	layer	NOUN
alkej-494	136	8	with	with	ADP
alkej-494	136	9	equal	equal	ADJ
alkej-494	136	10	thickness	thickness	NOUN
alkej-494	136	11	.	.	PUNCT
alkej-494	137	1	the	the	DET
alkej-494	137	2	orientations	orientation	NOUN
alkej-494	137	3	of	of	ADP
alkej-494	137	4	the	the	DET
alkej-494	137	5	layer	layer	NOUN
alkej-494	137	6	are	be	AUX
alkej-494	137	7	[	[	X
alkej-494	137	8	0/90/0/90/0	0/90/0/90/0	X
alkej-494	137	9	]	]	X
alkej-494	137	10	,	,	PUNCT
alkej-494	137	11	it	it	PRON
alkej-494	137	12	can	can	AUX
alkej-494	137	13	also	also	ADV
alkej-494	137	14	be	be	AUX
alkej-494	137	15	seen	see	VERB
alkej-494	137	16	that	that	SCONJ
alkej-494	137	17	the	the	DET
alkej-494	137	18	present	present	ADJ
alkej-494	137	19	results	result	NOUN
alkej-494	137	20	are	be	AUX
alkej-494	137	21	close	close	ADJ
alkej-494	137	22	to	to	ADP
alkej-494	137	23	results	result	NOUN
alkej-494	137	24	from	from	ADP
alkej-494	137	25	ref	ref	NOUN
alkej-494	137	26	.	.	PUNCT
alkej-494	138	1	[	[	X
alkej-494	138	2	17	17	NUM
alkej-494	138	3	]	]	PUNCT
alkej-494	138	4	.	.	PUNCT
alkej-494	139	1	the	the	DET
alkej-494	139	2	material	material	NOUN
alkej-494	139	3	property	property	NOUN
alkej-494	139	4	of	of	ADP
alkej-494	139	5	each	each	DET
alkej-494	139	6	single	single	ADJ
alkej-494	139	7	layer	layer	NOUN
alkej-494	139	8	is	be	AUX
alkej-494	139	9	:	:	PUNCT
alkej-494	139	10	table	table	NOUN
alkej-494	139	11	2	2	NUM
alkej-494	139	12	,	,	PUNCT
alkej-494	139	13	comparisons	comparison	NOUN
alkej-494	139	14	of	of	ADP
alkej-494	139	15	natural	natural	ADJ
alkej-494	139	16	frequencies	frequency	NOUN
alkej-494	139	17	(	(	PUNCT
alkej-494	139	18	hz	hz	NOUN
alkej-494	139	19	)	)	PUNCT
alkej-494	139	20	at	at	ADP
alkej-494	139	21	different	different	ADJ
alkej-494	139	22	temperatures	temperature	NOUN
alkej-494	139	23	,	,	PUNCT
alkej-494	139	24	δtcr=95.124	δtcr=95.124	NOUN
alkej-494	139	25	.	.	PUNCT
alkej-494	140	1	fundamental	fundamental	ADJ
alkej-494	140	2	natural	natural	ADJ
alkej-494	140	3	frequency	frequency	NOUN
alkej-494	140	4	of	of	ADP
alkej-494	140	5	square	square	ADJ
alkej-494	140	6	plates	plate	NOUN
alkej-494	140	7	with	with	ADP
alkej-494	140	8	various	various	ADJ
alkej-494	140	9	boundary	boundary	ADJ
alkej-494	140	10	conditions	condition	NOUN
alkej-494	140	11	under	under	ADP
alkej-494	140	12	different	different	ADJ
alkej-494	140	13	thermal	thermal	ADJ
alkej-494	140	14	buckling	buckling	NOUN
alkej-494	140	15	load	load	NOUN
alkej-494	140	16	ratio	ratio	NOUN
alkej-494	140	17	(	(	PUNCT
alkej-494	140	18	d	d	NOUN
alkej-494	140	19	)	)	PUNCT
alkej-494	140	20	,	,	PUNCT
alkej-494	140	21	is	be	AUX
alkej-494	140	22	calculated	calculate	VERB
alkej-494	140	23	and	and	CCONJ
alkej-494	140	24	listed	list	VERB
alkej-494	140	25	in	in	ADP
alkej-494	140	26	tables	table	NOUN
alkej-494	140	27	3	3	NUM
alkej-494	140	28	and	and	CCONJ
alkej-494	140	29	4	4	NUM
alkej-494	140	30	for	for	ADP
alkej-494	140	31	symmetric	symmetric	ADJ
alkej-494	140	32	cross	cross	NOUN
alkej-494	140	33	laminated	laminate	VERB
alkej-494	140	34	plates	plate	NOUN
alkej-494	140	35	and	and	CCONJ
alkej-494	140	36	anti	anti	ADJ
alkej-494	140	37	-	-	ADJ
alkej-494	140	38	symmetric	symmetric	ADJ
alkej-494	140	39	angle	angle	NOUN
alkej-494	140	40	ply	ply	NOUN
alkej-494	140	41	which	which	PRON
alkej-494	140	42	give	give	VERB
alkej-494	140	43	small	small	ADJ
alkej-494	140	44	error	error	NOUN
alkej-494	140	45	when	when	SCONJ
alkej-494	140	46	compared	compare	VERB
alkej-494	140	47	with	with	ADP
alkej-494	140	48	results	result	NOUN
alkej-494	140	49	obtained	obtain	VERB
alkej-494	140	50	by	by	ADP
alkej-494	140	51	numerical	numerical	PROPN
alkej-494	140	52	program	program	PROPN
alkej-494	140	53	ansys	ansys	PROPN
alkej-494	140	54	.	.	PUNCT
alkej-494	141	1	stiffness	stiffness	NOUN
alkej-494	141	2	of	of	ADP
alkej-494	141	3	the	the	DET
alkej-494	141	4	plate	plate	NOUN
alkej-494	141	5	with	with	ADP
alkej-494	141	6	the	the	DET
alkej-494	141	7	clamped	clamp	VERB
alkej-494	141	8	along	along	ADP
alkej-494	141	9	two	two	NUM
alkej-494	141	10	or	or	CCONJ
alkej-494	141	11	four	four	NUM
alkej-494	141	12	edges	edge	NOUN
alkej-494	141	13	was	be	AUX
alkej-494	141	14	greater	great	ADJ
alkej-494	141	15	than	than	ADP
alkej-494	141	16	any	any	DET
alkej-494	141	17	other	other	ADJ
alkej-494	141	18	boundaries	boundary	NOUN
alkej-494	141	19	,	,	PUNCT
alkej-494	141	20	therefore	therefore	ADV
alkej-494	141	21	it	it	PRON
alkej-494	141	22	vibrates	vibrate	VERB
alkej-494	141	23	with	with	ADP
alkej-494	141	24	a	a	DET
alkej-494	141	25	higher	high	ADJ
alkej-494	141	26	frequency	frequency	NOUN
alkej-494	141	27	.	.	PUNCT
alkej-494	142	1	in	in	ADP
alkej-494	142	2	other	other	ADJ
alkej-494	142	3	hand	hand	NOUN
alkej-494	142	4	,	,	PUNCT
alkej-494	142	5	the	the	DET
alkej-494	142	6	frequency	frequency	NOUN
alkej-494	142	7	of	of	ADP
alkej-494	142	8	the	the	DET
alkej-494	142	9	sfsf	sfsf	NOUN
alkej-494	142	10	plate	plate	NOUN
alkej-494	142	11	is	be	AUX
alkej-494	142	12	minimal	minimal	ADJ
alkej-494	142	13	due	due	ADP
alkej-494	142	14	to	to	ADP
alkej-494	142	15	low	low	ADJ
alkej-494	142	16	stiffness	stiffness	NOUN
alkej-494	142	17	.	.	PUNCT
alkej-494	143	1	it	it	PRON
alkej-494	143	2	is	be	AUX
alkej-494	143	3	clear	clear	ADJ
alkej-494	143	4	that	that	SCONJ
alkej-494	143	5	the	the	DET
alkej-494	143	6	frequency	frequency	NOUN
alkej-494	143	7	was	be	AUX
alkej-494	143	8	less	less	ADJ
alkej-494	143	9	than	than	ADP
alkej-494	143	10	frequency	frequency	NOUN
alkej-494	143	11	that	that	PRON
alkej-494	143	12	found	find	VERB
alkej-494	143	13	without	without	ADP
alkej-494	143	14	loading	loading	NOUN
alkej-494	143	15	because	because	SCONJ
alkej-494	143	16	of	of	ADP
alkej-494	143	17	the	the	DET
alkej-494	143	18	reduced	reduce	VERB
alkej-494	143	19	stiffness	stiffness	NOUN
alkej-494	143	20	due	due	ADP
alkej-494	143	21	to	to	ADP
alkej-494	143	22	thermal	thermal	ADJ
alkej-494	143	23	loading	loading	NOUN
alkej-494	143	24	.	.	PUNCT
alkej-494	144	1	the	the	DET
alkej-494	144	2	aspect	aspect	NOUN
alkej-494	144	3	and	and	CCONJ
alkej-494	144	4	modulus	modulus	ADJ
alkej-494	144	5	ratios	ratio	NOUN
alkej-494	144	6	schemes	scheme	NOUN
alkej-494	144	7	of	of	ADP
alkej-494	144	8	laminated	laminated	ADJ
alkej-494	144	9	plate	plate	NOUN
alkej-494	144	10	for	for	ADP
alkej-494	144	11	simply	simply	ADV
alkej-494	144	12	supported	support	VERB
alkej-494	144	13	are	be	AUX
alkej-494	144	14	changed	change	VERB
alkej-494	144	15	in	in	ADP
alkej-494	144	16	table	table	NOUN
alkej-494	144	17	5	5	NUM
alkej-494	144	18	,	,	PUNCT
alkej-494	144	19	the	the	DET
alkej-494	144	20	results	result	NOUN
alkej-494	144	21	of	of	ADP
alkej-494	144	22	the	the	DET
alkej-494	144	23	frequency	frequency	NOUN
alkej-494	144	24	under	under	ADP
alkej-494	144	25	thermal	thermal	ADJ
alkej-494	144	26	load	load	NOUN
alkej-494	144	27	ratio	ratio	NOUN
alkej-494	144	28	(	(	PUNCT
alkej-494	144	29	d=0.5	d=0.5	NOUN
alkej-494	144	30	)	)	PUNCT
alkej-494	144	31	and	and	CCONJ
alkej-494	144	32	compared	compare	VERB
alkej-494	144	33	with	with	ADP
alkej-494	144	34	those	those	PRON
alkej-494	144	35	obtained	obtain	VERB
alkej-494	144	36	by	by	ADP
alkej-494	144	37	numerical	numerical	PROPN
alkej-494	144	38	program	program	PROPN
alkej-494	144	39	ansys	ansys	PROPN
alkej-494	144	40	,	,	PUNCT
alkej-494	144	41	it	it	PRON
alkej-494	144	42	can	can	AUX
alkej-494	144	43	be	be	AUX
alkej-494	144	44	noted	note	VERB
alkej-494	144	45	that	that	SCONJ
alkej-494	144	46	the	the	DET
alkej-494	144	47	frequency	frequency	NOUN
alkej-494	144	48	decreases	decrease	VERB
alkej-494	144	49	with	with	ADP
alkej-494	144	50	increasing	increase	VERB
alkej-494	144	51	the	the	DET
alkej-494	144	52	aspect	aspect	NOUN
alkej-494	144	53	and	and	CCONJ
alkej-494	144	54	increases	increase	NOUN
alkej-494	144	55	when	when	SCONJ
alkej-494	144	56	the	the	DET
alkej-494	144	57	modulus	modulus	ADJ
alkej-494	144	58	ratio	ratio	NOUN
alkej-494	144	59	increases	increase	NOUN
alkej-494	144	60	,	,	PUNCT
alkej-494	144	61	due	due	ADP
alkej-494	144	62	to	to	ADP
alkej-494	144	63	stiffness	stiffness	ADJ
alkej-494	144	64	changes	change	NOUN
alkej-494	144	65	.	.	PUNCT
alkej-494	145	1	figure	figure	NOUN
alkej-494	145	2	(	(	PUNCT
alkej-494	145	3	2	2	NUM
alkej-494	145	4	)	)	PUNCT
alkej-494	145	5	,	,	PUNCT
alkej-494	145	6	shows	show	VERB
alkej-494	145	7	the	the	DET
alkej-494	145	8	first	first	ADJ
alkej-494	145	9	four	four	NUM
alkej-494	145	10	mode	mode	NOUN
alkej-494	145	11	shapes	shape	NOUN
alkej-494	145	12	of	of	ADP
alkej-494	145	13	the	the	DET
alkej-494	145	14	laminated	laminate	VERB
alkej-494	145	15	plate	plate	NOUN
alkej-494	145	16	for	for	ADP
alkej-494	145	17	cfff	cfff	PROPN
alkej-494	145	18	symmetric	symmetric	PROPN
alkej-494	145	19	cross	cross	NOUN
alkej-494	145	20	ply	ply	NOUN
alkej-494	145	21	in	in	ADP
alkej-494	145	22	the	the	DET
alkej-494	145	23	reference	reference	NOUN
alkej-494	145	24	temperature	temperature	NOUN
alkej-494	145	25	environment	environment	NOUN
alkej-494	145	26	of	of	ADP
alkej-494	145	27	the	the	DET
alkej-494	145	28	same	same	ADJ
alkej-494	145	29	materials	material	NOUN
alkej-494	145	30	properties	property	NOUN
alkej-494	145	31	in	in	ADP
alkej-494	145	32	tables	table	NOUN
alkej-494	145	33	3	3	NUM
alkej-494	145	34	and	and	CCONJ
alkej-494	145	35	5	5	NUM
alkej-494	145	36	.	.	PUNCT
alkej-494	145	37	e1	e1	PROPN
alkej-494	145	38	e2	e2	PROPN
alkej-494	145	39	g13	g13	PROPN
alkej-494	145	40	=	=	PROPN
alkej-494	145	41	g12	g12	NOUN
alkej-494	145	42	g23	g23	NOUN
alkej-494	145	43	40*e2	40*e2	NUM
alkej-494	145	44	6.92gpa	6.92gpa	NUM
alkej-494	145	45	0.6*e2	0.6*e2	PROPN
alkej-494	145	46	0.5*e2	0.5*e2	PROPN
alkej-494	145	47	12v	12v	PROPN
alkej-494	145	48	α1	α1	PROPN
alkej-494	145	49	α2	α2	NOUN
alkej-494	145	50	0.25	0.25	NUM
alkej-494	145	51	1.14	1.14	NUM
alkej-494	145	52	*	*	NUM
alkej-494	145	53	10	10	NUM
alkej-494	145	54	-	-	SYM
alkej-494	145	55	6/0k	6/0k	NUM
alkej-494	145	56	11.4	11.4	NUM
alkej-494	145	57	*	*	NUM
alkej-494	145	58	10	10	NUM
alkej-494	145	59	-	-	SYM
alkej-494	145	60	6/0k	6/0k	NUM
alkej-494	145	61	discrepancy	discrepancy	NOUN
alkej-494	145	62	%	%	NOUN
alkej-494	146	1	[	[	X
alkej-494	146	2	1	1	NUM
alkej-494	146	3	]	]	X
alkej-494	146	4	present	present	ADJ
alkej-494	146	5	temp	temp	NOUN
alkej-494	146	6	.	.	PUNCT
alkej-494	147	1	a	a	X
alkej-494	147	2	/	/	SYM
alkej-494	147	3	h=50	h=50	NOUN
alkej-494	147	4	a	a	X
alkej-494	147	5	/	/	SYM
alkej-494	147	6	h=20	h=20	NOUN
alkej-494	147	7	a	a	NOUN
alkej-494	147	8	/	/	SYM
alkej-494	147	9	h=50	h=50	NOUN
alkej-494	147	10	a	a	X
alkej-494	147	11	/	/	SYM
alkej-494	147	12	h=20	h=20	X
alkej-494	147	13	a	a	DET
alkej-494	147	14	/	/	SYM
alkej-494	147	15	h=50	h=50	PROPN
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alkej-494	147	17	a	a	NOUN
alkej-494	147	18	/	/	SYM
alkej-494	147	19	h=20	h=20	NOUN
alkej-494	147	20	δtcr=1401.64	δtcr=1401.64	NOUN
alkej-494	147	21	0.656	0.656	NUM
alkej-494	147	22	7.077	7.077	NUM
alkej-494	147	23	18.7871	18.7871	NUM
alkej-494	147	24	17.483	17.483	NUM
alkej-494	147	25	18.9	18.9	NUM
alkej-494	147	26	18.8145	18.8145	NUM
alkej-494	147	27	0	0	NUM
alkej-494	148	1	11.234	11.234	NUM
alkej-494	148	2	5.5534	5.5534	NUM
alkej-494	148	3	16.2855	16.2855	NUM
alkej-494	148	4	17.172	17.172	NUM
alkej-494	148	5	14.456	14.456	NUM
alkej-494	148	6	18.1817	18.1817	NUM
alkej-494	148	7	100	100	NUM
alkej-494	148	8	e1	e1	PROPN
alkej-494	148	9	e2	e2	PROPN
alkej-494	148	10	g13	g13	PROPN
alkej-494	148	11	=	=	PROPN
alkej-494	148	12	g12	g12	PROPN
alkej-494	148	13	g23	g23	PROPN
alkej-494	148	14	132gpa	132gpa	NUM
alkej-494	148	15	10.3gpa	10.3gpa	PROPN
alkej-494	148	16	6.5gpa	6.5gpa	NUM
alkej-494	148	17	3.91gpa	3.91gpa	NUM
alkej-494	148	18	v12	v12	VERB
alkej-494	148	19	α1	α1	PROPN
alkej-494	148	20	α2	α2	PROPN
alkej-494	148	21	ρ	ρ	PROPN
alkej-494	148	22	0.3	0.3	NUM
alkej-494	148	23	1.2	1.2	NUM
alkej-494	148	24	*	*	NUM
alkej-494	148	25	106/0c	106/0c	NUM
alkej-494	148	26	2.4	2.4	NUM
alkej-494	148	27	*	*	SYM
alkej-494	148	28	106/0c	106/0c	NUM
alkej-494	148	29	1570	1570	NUM
alkej-494	148	30	kg	kg	NOUN
alkej-494	148	31	/	/	SYM
alkej-494	148	32	m3	m3	PROPN
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alkej-494	148	34	60	60	NUM
alkej-494	148	35	40	40	NUM
alkej-494	148	36	20	20	NUM
alkej-494	148	37	0	0	NUM
alkej-494	148	38	temp	temp	NOUN
alkej-494	148	39	82.46	82.46	NUM
alkej-494	148	40	123.6	123.6	NUM
alkej-494	148	41	154.131	154.131	NUM
alkej-494	148	42	179.54	179.54	NUM
alkej-494	148	43	201.65	201.65	NUM
alkej-494	148	44	present	present	ADJ
alkej-494	148	45	66.1	66.1	NUM
alkej-494	148	46	116.19	116.19	NUM
alkej-494	148	47	149.89	149.89	NUM
alkej-494	148	48	176.91	176.91	NUM
alkej-494	148	49	200.02	200.02	NUM
alkej-494	148	50	[	[	X
alkej-494	148	51	17	17	NUM
alkej-494	148	52	]	]	SYM
alkej-494	148	53	19.84	19.84	NUM
alkej-494	148	54	6	6	NUM
alkej-494	148	55	2.75	2.75	NUM
alkej-494	148	56	1.465	1.465	NUM
alkej-494	148	57	0.81	0.81	NUM
alkej-494	148	58	discrepancy	discrepancy	NOUN
alkej-494	148	59	%	%	NOUN
alkej-494	148	60	mohammed	mohammed	PROPN
alkej-494	148	61	b.	b.	PROPN
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alkej-494	148	63	al	al	PROPN
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alkej-494	148	67	journal	journal	PROPN
alkej-494	148	68	,	,	PUNCT
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alkej-494	148	70	.	.	PROPN
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alkej-494	148	72	,	,	PUNCT
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alkej-494	148	75	4	4	NUM
alkej-494	148	76	,	,	PUNCT
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alkej-494	148	79	2332	2332	NUM
alkej-494	148	80	(	(	PUNCT
alkej-494	148	81	2019	2019	NUM
alkej-494	148	82	)	)	PUNCT
alkej-494	148	83	29	29	NUM
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alkej-494	148	85	3	3	NUM
alkej-494	148	86	,	,	PUNCT
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alkej-494	148	88	first	first	ADJ
alkej-494	148	89	mode	mode	NOUN
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alkej-494	148	91	�	�	PROPN
alkej-494	148	92	¼	¼	NOUN
alkej-494	148	93	�	�	NOUN
alkej-494	148	94	=	=	PUNCT
alkej-494	148	95	¼½¾¿àáâ	¼½¾¿àáâ	PROPN
alkej-494	148	96	ã¿⁄	ã¿⁄	PUNCT
alkej-494	149	1	å⁄	å⁄	NUM
alkej-494	149	2	�	�	NOUN
alkej-494	149	3	,	,	PUNCT
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alkej-494	149	5	[	[	PUNCT
alkej-494	149	6	0	0	NUM
alkej-494	149	7	90	90	NUM
alkej-494	149	8	90	90	NUM
alkej-494	149	9	0	0	NUM
alkej-494	149	10	]	]	PUNCT
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alkej-494	149	12	under	under	ADP
alkej-494	149	13	different	different	ADJ
alkej-494	149	14	load	load	NOUN
alkej-494	149	15	ratios	ratio	NOUN
alkej-494	149	16	of	of	ADP
alkej-494	149	17	critical	critical	ADJ
alkej-494	149	18	buckling	buckling	NOUN
alkej-494	149	19	temperature	temperature	NOUN
alkej-494	149	20	for	for	ADP
alkej-494	149	21	different	different	ADJ
alkej-494	149	22	boundary	boundary	ADJ
alkej-494	149	23	conditions	condition	NOUN
alkej-494	149	24	,	,	PUNCT
alkej-494	149	25	(	(	PUNCT
alkej-494	149	26	ãæ	ãæ	INTJ
alkej-494	149	27	ã¿⁄	ã¿⁄	PUNCT
alkej-494	149	28	=	=	PUNCT
alkej-494	149	29	æç	æç	X
alkej-494	149	30	‚	‚	PROPN
alkej-494	149	31	èæ	èæ	ADP
alkej-494	149	32	¿	¿	NOUN
alkej-494	149	33	=	=	SYM
alkej-494	149	34	é	é	PROPN
alkej-494	149	35	.	.	PUNCT
alkej-494	150	1	çã	çã	PROPN
alkej-494	150	2	¿	¿	PROPN
alkej-494	150	3	‚	‚	NOUN
alkej-494	150	4	è¿ê	è¿ê	X
alkej-494	150	5	=	=	SYM
alkej-494	150	6	é	é	NOUN
alkej-494	150	7	.	.	PUNCT
alkej-494	151	1	êêçëã¿‚ìæ	êêçëã¿‚ìæ	VERB
alkej-494	151	2	¿	¿	NOUN
alkej-494	151	3	=	=	PUNCT
alkej-494	151	4	é	é	PROPN
alkej-494	151	5	.	.	PUNCT
alkej-494	152	1	ê	ê	NOUN
alkej-494	152	2	‚	‚	NOUN
alkej-494	152	3	�	�	X
alkej-494	152	4	æ	æ	NOUN
alkej-494	152	5	=	=	SYM
alkej-494	152	6	é	é	PROPN
alkej-494	152	7	.	.	PUNCT
alkej-494	152	8	éæçí	éæçí	NOUN
alkej-494	152	9	−	−	PROPN
alkej-494	153	1	ë	ë	NOUN
alkej-494	153	2	‚	‚	X
alkej-494	153	3	�	�	NOUN
alkej-494	153	4	¿	¿	NOUN
alkej-494	153	5	=	=	PUNCT
alkej-494	153	6	æí	æí	PROPN
alkej-494	153	7	−	−	PROPN
alkej-494	153	8	ë	ë	PROPN
alkej-494	153	9	¾	¾	PROPN
alkej-494	153	10	=	=	SYM
alkej-494	153	11	î	î	PROPN
alkej-494	153	12	‚	‚	X
alkej-494	153	13	¾å	¾å	NOUN
alkej-494	153	14	=	=	SYM
alkej-494	154	1	æéé	æéé	INTJ
alkej-494	154	2	.	.	PUNCT
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alkej-494	155	2	4	4	NUM
alkej-494	155	3	,	,	PUNCT
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alkej-494	155	5	first	first	ADJ
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alkej-494	155	8	�	�	PROPN
alkej-494	155	9	¼	¼	NOUN
alkej-494	155	10	�	�	NOUN
alkej-494	155	11	=	=	PUNCT
alkej-494	155	12	¼½¾¿àáâ	¼½¾¿àáâ	PROPN
alkej-494	155	13	ã¿⁄	ã¿⁄	PUNCT
alkej-494	156	1	å⁄	å⁄	NUM
alkej-494	156	2	�	�	NOUN
alkej-494	156	3	,	,	PUNCT
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alkej-494	156	5	[	[	PUNCT
alkej-494	156	6	30/-30]4	30/-30]4	NUM
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alkej-494	156	9	different	different	ADJ
alkej-494	156	10	load	load	NOUN
alkej-494	156	11	ratios	ratio	NOUN
alkej-494	156	12	of	of	ADP
alkej-494	156	13	critical	critical	ADJ
alkej-494	156	14	buckling	buckling	NOUN
alkej-494	156	15	temperature	temperature	NOUN
alkej-494	156	16	,	,	PUNCT
alkej-494	156	17	(	(	PUNCT
alkej-494	156	18	ãæ	ãæ	INTJ
alkej-494	156	19	ã¿⁄	ã¿⁄	PUNCT
alkej-494	156	20	=	=	PUNCT
alkej-494	156	21	æç	æç	X
alkej-494	156	22	‚	‚	PROPN
alkej-494	156	23	èæ	èæ	ADP
alkej-494	156	24	¿	¿	NOUN
alkej-494	156	25	=	=	SYM
alkej-494	156	26	é	é	PROPN
alkej-494	156	27	.	.	PUNCT
alkej-494	157	1	çã	çã	AUX
alkej-494	157	2	¿	¿	PROPN
alkej-494	157	3	‚	‚	NOUN
alkej-494	157	4	è¿ê	è¿ê	X
alkej-494	157	5	=	=	SYM
alkej-494	157	6	é	é	NOUN
alkej-494	157	7	.	.	PUNCT
alkej-494	157	8	êêçëã¿‚ìæ	êêçëã¿‚ìæ	VERB
alkej-494	157	9	¿	¿	NOUN
alkej-494	157	10	=	=	PUNCT
alkej-494	157	11	é	é	PROPN
alkej-494	157	12	.	.	PUNCT
alkej-494	158	1	ê	ê	NOUN
alkej-494	158	2	‚	‚	NOUN
alkej-494	158	3	�	�	X
alkej-494	158	4	æ	æ	NOUN
alkej-494	158	5	=	=	SYM
alkej-494	158	6	é	é	PROPN
alkej-494	158	7	.	.	PUNCT
alkej-494	158	8	éæçí	éæçí	NOUN
alkej-494	158	9	−	−	PROPN
alkej-494	159	1	ë	ë	NOUN
alkej-494	159	2	‚	‚	X
alkej-494	159	3	�	�	X
alkej-494	159	4	¿	¿	NOUN
alkej-494	159	5	=	=	PROPN
alkej-494	159	6	æí	æí	PROPN
alkej-494	159	7	−	−	PROPN
alkej-494	159	8	ë	ë	PROPN
alkej-494	159	9	‚	‚	NUM
alkej-494	159	10	¾	¾	NOUN
alkej-494	159	11	=	=	SYM
alkej-494	159	12	î	î	PROPN
alkej-494	159	13	‚	‚	X
alkej-494	159	14	¾å	¾å	NOUN
alkej-494	159	15	=	=	SYM
alkej-494	159	16	æéé	æéé	INTJ
alkej-494	159	17	.	.	PUNCT
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alkej-494	160	2	5	5	NUM
alkej-494	160	3	,	,	PUNCT
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alkej-494	160	8	�	�	PROPN
alkej-494	160	9	¼	¼	NOUN
alkej-494	160	10	�	�	NOUN
alkej-494	160	11	=	=	PUNCT
alkej-494	160	12	¼½¾¿àáâ	¼½¾¿àáâ	PROPN
alkej-494	160	13	ã¿⁄	ã¿⁄	PUNCT
alkej-494	161	1	å⁄	å⁄	NUM
alkej-494	161	2	�	�	NOUN
alkej-494	161	3	,	,	PUNCT
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alkej-494	161	5	[	[	PUNCT
alkej-494	161	6	0	0	NUM
alkej-494	161	7	90	90	NUM
alkej-494	161	8	90	90	NUM
alkej-494	161	9	0	0	NUM
alkej-494	161	10	]	]	PUNCT
alkej-494	161	11	(	(	PUNCT
alkej-494	161	12	ssss	ssss	NOUN
alkej-494	161	13	)	)	PUNCT
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alkej-494	161	16	effect	effect	NOUN
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alkej-494	161	22	,	,	PUNCT
alkej-494	161	23	(	(	PUNCT
alkej-494	161	24	èæ	èæ	ADP
alkej-494	161	25	¿	¿	NOUN
alkej-494	161	26	=	=	SYM
alkej-494	161	27	é	é	PROPN
alkej-494	161	28	.	.	PUNCT
alkej-494	161	29	çã	çã	PROPN
alkej-494	161	30	¿	¿	PROPN
alkej-494	161	31	‚	‚	NOUN
alkej-494	161	32	è¿ê	è¿ê	X
alkej-494	161	33	=	=	SYM
alkej-494	161	34	é	é	NOUN
alkej-494	161	35	.	.	PUNCT
alkej-494	161	36	êêçëã¿‚ìæ	êêçëã¿‚ìæ	VERB
alkej-494	161	37	¿	¿	NOUN
alkej-494	161	38	=	=	PUNCT
alkej-494	161	39	é	é	PROPN
alkej-494	161	40	.	.	PUNCT
alkej-494	162	1	ê	ê	NOUN
alkej-494	162	2	‚	‚	NOUN
alkej-494	162	3	�	�	X
alkej-494	162	4	æ	æ	NOUN
alkej-494	162	5	=	=	SYM
alkej-494	162	6	é	é	PROPN
alkej-494	162	7	.	.	PUNCT
alkej-494	162	8	éæçí	éæçí	NOUN
alkej-494	162	9	−	−	PROPN
alkej-494	163	1	ë	ë	NOUN
alkej-494	163	2	‚	‚	X
alkej-494	163	3	�	�	NOUN
alkej-494	163	4	¿	¿	NOUN
alkej-494	163	5	=	=	PUNCT
alkej-494	163	6	æí	æí	X
alkej-494	163	7	−	−	PUNCT
alkej-494	164	1	ë	ë	NUM
alkej-494	164	2	‚	‚	NUM
alkej-494	164	3	¾å	¾å	NOUN
alkej-494	164	4	=	=	SYM
alkej-494	164	5	æéé	æéé	CCONJ
alkej-494	164	6	natural	natural	ADJ
alkej-494	164	7	frequency	frequency	NOUN
alkej-494	164	8	under	under	ADP
alkej-494	164	9	load	load	NOUN
alkej-494	164	10	ratios	ratio	NOUN
alkej-494	164	11	of	of	ADP
alkej-494	164	12	critical	critical	ADJ
alkej-494	164	13	buckling	buckling	NOUN
alkej-494	164	14	temperature	temperature	NOUN
alkej-494	164	15	d=0.5	d=0.5	NOUN
alkej-494	164	16	)	)	PUNCT
alkej-494	164	17	.	.	PUNCT
alkej-494	165	1	d	d	NOUN
alkej-494	165	2	references	reference	NOUN
alkej-494	165	3	cccc	cccc	PROPN
alkej-494	165	4	ssss	ssss	NOUN
alkej-494	165	5	scsc	scsc	PROPN
alkej-494	165	6	cccf	cccf	PROPN
alkej-494	165	7	sssf	sssf	PROPN
alkej-494	165	8	sfsf	sfsf	PROPN
alkej-494	165	9	cfcf	cfcf	PROPN
alkej-494	165	10	0	0	NUM
alkej-494	165	11	matlab	matlab	PROPN
alkej-494	165	12	26.4	26.4	NUM
alkej-494	165	13	15.53	15.53	NUM
alkej-494	165	14	24.26	24.26	NUM
alkej-494	165	15	12	12	NUM
alkej-494	165	16	6.87	6.87	NUM
alkej-494	165	17	4.1	4.1	NUM
alkej-494	165	18	9.283	9.283	NUM
alkej-494	165	19	ansys	ansys	PROPN
alkej-494	165	20	25.63	25.63	NUM
alkej-494	165	21	15.66	15.66	NUM
alkej-494	165	22	23.54	23.54	NUM
alkej-494	165	23	11.5	11.5	NUM
alkej-494	165	24	6.675	6.675	NUM
alkej-494	165	25	3.632	3.632	NUM
alkej-494	165	26	8.671	8.671	NUM
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alkej-494	165	28	%	%	NOUN
alkej-494	165	29	3	3	NUM
alkej-494	165	30	0.83	0.83	NUM
alkej-494	165	31	3	3	NUM
alkej-494	165	32	4.167	4.167	NUM
alkej-494	165	33	2.84	2.84	NUM
alkej-494	165	34	11.4	11.4	NUM
alkej-494	165	35	6.6	6.6	NUM
alkej-494	165	36	0.25	0.25	NUM
alkej-494	165	37	matlab	matlab	PROPN
alkej-494	165	38	22.86	22.86	NUM
alkej-494	165	39	13.45	13.45	NUM
alkej-494	165	40	21.33	21.33	NUM
alkej-494	165	41	10.38	10.38	NUM
alkej-494	165	42	6	6	NUM
alkej-494	165	43	3.537	3.537	NUM
alkej-494	165	44	8.04	8.04	NUM
alkej-494	165	45	ansys	ansys	X
alkej-494	165	46	22.06	22.06	NUM
alkej-494	165	47	13	13	NUM
alkej-494	165	48	20.5	20.5	NUM
alkej-494	165	49	10.4	10.4	NUM
alkej-494	165	50	5.86	5.86	NUM
alkej-494	165	51	3	3	NUM
alkej-494	165	52	7.56	7.56	NUM
alkej-494	165	53	discrepancy	discrepancy	NOUN
alkej-494	165	54	%	%	NOUN
alkej-494	165	55	3.5	3.5	NUM
alkej-494	165	56	3.346	3.346	NUM
alkej-494	165	57	3.89	3.89	NUM
alkej-494	165	58	0.2	0.2	NUM
alkej-494	165	59	2.33334	2.33334	NUM
alkej-494	165	60	15.2	15.2	NUM
alkej-494	165	61	6	6	NUM
alkej-494	165	62	0.5	0.5	NUM
alkej-494	165	63	matlab	matlab	PROPN
alkej-494	165	64	18.6676	18.6676	NUM
alkej-494	165	65	11	11	NUM
alkej-494	165	66	18	18	NUM
alkej-494	165	67	8.5	8.5	NUM
alkej-494	165	68	4.86	4.86	NUM
alkej-494	165	69	2.8878	2.8878	NUM
alkej-494	165	70	6.56	6.56	NUM
alkej-494	165	71	ansys	ansys	X
alkej-494	165	72	17.68	17.68	NUM
alkej-494	165	73	10.353	10.353	NUM
alkej-494	165	74	17	17	NUM
alkej-494	165	75	9.2	9.2	NUM
alkej-494	165	76	5.0845	5.0845	NUM
alkej-494	165	77	2.37	2.37	NUM
alkej-494	165	78	6.24	6.24	NUM
alkej-494	165	79	discrepancy	discrepancy	NOUN
alkej-494	165	80	%	%	NOUN
alkej-494	165	81	5.3	5.3	NUM
alkej-494	165	82	5.882	5.882	NUM
alkej-494	165	83	5.556	5.556	NUM
alkej-494	165	84	7.61	7.61	NUM
alkej-494	165	85	4.4	4.4	NUM
alkej-494	165	86	18	18	NUM
alkej-494	165	87	4.88	4.88	NUM
alkej-494	165	88	0.75	0.75	NUM
alkej-494	165	89	matlab	matlab	PROPN
alkej-494	165	90	13.2	13.2	NUM
alkej-494	165	91	7.76	7.76	NUM
alkej-494	165	92	13.706	13.706	NUM
alkej-494	165	93	6.02	6.02	NUM
alkej-494	165	94	3.44	3.44	NUM
alkej-494	165	95	2.042	2.042	NUM
alkej-494	165	96	4.6415	4.6415	NUM
alkej-494	165	97	ansys	ansys	PROPN
alkej-494	165	98	11.4344	11.4344	NUM
alkej-494	165	99	6.86	6.86	NUM
alkej-494	165	100	12.35	12.35	NUM
alkej-494	165	101	7.7455	7.7455	NUM
alkej-494	165	102	4.1642	4.1642	NUM
alkej-494	165	103	1.506	1.506	NUM
alkej-494	165	104	4.4672	4.4672	NUM
alkej-494	165	105	discrepancy	discrepancy	NOUN
alkej-494	165	106	%	%	NOUN
alkej-494	165	107	12	12	NUM
alkej-494	165	108	11.6	11.6	NUM
alkej-494	165	109	10	10	NUM
alkej-494	165	110	22.277	22.277	NUM
alkej-494	165	111	17.4	17.4	NUM
alkej-494	165	112	26.25	26.25	NUM
alkej-494	165	113	3.77	3.77	NUM
alkej-494	165	114	d	d	NUM
alkej-494	165	115	references	reference	NOUN
alkej-494	166	1	cccc	cccc	PROPN
alkej-494	166	2	ssss	ssss	NOUN
alkej-494	166	3	scsc	scsc	PROPN
alkej-494	166	4	cccf	cccf	PROPN
alkej-494	166	5	sssf	sssf	PROPN
alkej-494	166	6	sfsf	sfsf	PROPN
alkej-494	166	7	cfcf	cfcf	PROPN
alkej-494	166	8	0	0	NUM
alkej-494	166	9	matlab	matlab	PROPN
alkej-494	166	10	27	27	NUM
alkej-494	166	11	12.5	12.5	NUM
alkej-494	166	12	25.02	25.02	NUM
alkej-494	166	13	12	12	NUM
alkej-494	166	14	5.3	5.3	NUM
alkej-494	166	15	4.81	4.81	NUM
alkej-494	166	16	11	11	NUM
alkej-494	166	17	ansys	ansys	PROPN
alkej-494	166	18	26.673	26.673	NUM
alkej-494	166	19	12.43	12.43	NUM
alkej-494	166	20	24.67	24.67	NUM
alkej-494	166	21	11.865	11.865	NUM
alkej-494	166	22	5.28	5.28	NUM
alkej-494	166	23	4.8	4.8	NUM
alkej-494	166	24	10.544	10.544	NUM
alkej-494	166	25	discrepancy	discrepancy	NOUN
alkej-494	166	26	%	%	NOUN
alkej-494	166	27	1.2	1.2	NUM
alkej-494	166	28	0.56	0.56	NUM
alkej-494	166	29	1.4	1.4	NUM
alkej-494	166	30	1.125	1.125	NUM
alkej-494	166	31	0.377	0.377	NUM
alkej-494	166	32	0.208	0.208	NUM
alkej-494	166	33	4.1455	4.1455	NUM
alkej-494	166	34	0.25	0.25	NUM
alkej-494	166	35	matlab	matlab	PROPN
alkej-494	166	36	23.563	23.563	NUM
alkej-494	166	37	10.838	10.838	NUM
alkej-494	166	38	23.6	23.6	NUM
alkej-494	166	39	10.4	10.4	NUM
alkej-494	166	40	4.6	4.6	NUM
alkej-494	166	41	4.67	4.67	NUM
alkej-494	166	42	10.07	10.07	NUM
alkej-494	166	43	ansys	ansy	NOUN
alkej-494	166	44	23.124	23.124	NUM
alkej-494	166	45	10.75	10.75	NUM
alkej-494	166	46	23.32	23.32	NUM
alkej-494	166	47	10.8	10.8	NUM
alkej-494	166	48	4.57	4.57	NUM
alkej-494	166	49	4.25	4.25	NUM
alkej-494	166	50	10	10	NUM
alkej-494	166	51	discrepancy	discrepancy	NOUN
alkej-494	166	52	%	%	NOUN
alkej-494	166	53	1.863	1.863	NUM
alkej-494	166	54	0.812	0.812	NUM
alkej-494	166	55	1.186	1.186	NUM
alkej-494	166	56	3.7	3.7	NUM
alkej-494	166	57	0.65	0.65	NUM
alkej-494	166	58	9	9	NUM
alkej-494	166	59	0.7	0.7	NUM
alkej-494	166	60	0.5	0.5	NUM
alkej-494	166	61	matlab	matlab	PROPN
alkej-494	166	62	19.55	19.55	NUM
alkej-494	166	63	8.86	8.86	NUM
alkej-494	166	64	22.2	22.2	NUM
alkej-494	166	65	8.55	8.55	NUM
alkej-494	166	66	3.76	3.76	NUM
alkej-494	166	67	3.65	3.65	NUM
alkej-494	166	68	8.48	8.48	NUM
alkej-494	166	69	ansys	ansys	PROPN
alkej-494	166	70	18.773	18.773	NUM
alkej-494	166	71	8.757	8.757	NUM
alkej-494	166	72	21.88	21.88	NUM
alkej-494	166	73	9.6	9.6	NUM
alkej-494	166	74	3.7	3.7	NUM
alkej-494	166	75	3.63	3.63	NUM
alkej-494	166	76	9.056	9.056	NUM
alkej-494	166	77	discrepancy	discrepancy	NOUN
alkej-494	166	78	%	%	NOUN
alkej-494	166	79	3.94	3.94	NUM
alkej-494	166	80	1.16	1.16	NUM
alkej-494	166	81	1.44	1.44	NUM
alkej-494	166	82	11	11	NUM
alkej-494	166	83	1.6	1.6	NUM
alkej-494	166	84	0.548	0.548	NUM
alkej-494	166	85	6.36	6.36	NUM
alkej-494	166	86	0.75	0.75	NUM
alkej-494	166	87	matlab	matlab	PROPN
alkej-494	166	88	14.46	14.46	NUM
alkej-494	166	89	6.2876	6.2876	NUM
alkej-494	166	90	20.7	20.7	NUM
alkej-494	166	91	6.1	6.1	NUM
alkej-494	166	92	2.667	2.667	NUM
alkej-494	166	93	3	3	NUM
alkej-494	166	94	6	6	NUM
alkej-494	166	95	ansys	ansy	NOUN
alkej-494	166	96	12.653	12.653	NUM
alkej-494	166	97	6.15	6.15	NUM
alkej-494	166	98	20.34	20.34	NUM
alkej-494	166	99	8.2	8.2	NUM
alkej-494	166	100	2.61	2.61	NUM
alkej-494	166	101	2.876	2.876	NUM
alkej-494	166	102	7.97	7.97	NUM
alkej-494	166	103	discrepancy	discrepancy	NOUN
alkej-494	166	104	%	%	NOUN
alkej-494	166	105	12.5	12.5	NUM
alkej-494	166	106	2.2	2.2	NUM
alkej-494	166	107	1.74	1.74	NUM
alkej-494	166	108	25.5	25.5	NUM
alkej-494	166	109	2.14	2.14	NUM
alkej-494	166	110	4.127	4.127	NUM
alkej-494	166	111	24.7	24.7	NUM
alkej-494	166	112	references	reference	NOUN
alkej-494	166	113	a	a	PRON
alkej-494	166	114	/	/	SYM
alkej-494	166	115	b	b	NOUN
alkej-494	166	116	e1	e1	PROPN
alkej-494	166	117	/	/	SYM
alkej-494	166	118	e2	e2	PROPN
alkej-494	166	119	5	5	NUM
alkej-494	166	120	10	10	NUM
alkej-494	166	121	15	15	NUM
alkej-494	166	122	matlab	matlab	PROPN
alkej-494	166	123	0.5	0.5	NUM
alkej-494	166	124	19.848	19.848	NUM
alkej-494	166	125	28.27	28.27	NUM
alkej-494	166	126	34.72	34.72	NUM
alkej-494	166	127	ansys	ansys	PROPN
alkej-494	166	128	18.77	18.77	NUM
alkej-494	166	129	26.76	26.76	NUM
alkej-494	166	130	33	33	NUM
alkej-494	166	131	discrepancy	discrepancy	NOUN
alkej-494	166	132	%	%	NOUN
alkej-494	166	133	5.43	5.43	NUM
alkej-494	166	134	5.34	5.34	NUM
alkej-494	166	135	5	5	NUM
alkej-494	166	136	matlab	matlab	NOUN
alkej-494	166	137	1	1	NUM
alkej-494	166	138	5.88	5.88	NUM
alkej-494	166	139	7.4	7.4	NUM
alkej-494	166	140	8.654	8.654	NUM
alkej-494	166	141	ansys	ansys	NOUN
alkej-494	166	142	6	6	NUM
alkej-494	166	143	7.5	7.5	NUM
alkej-494	166	144	8.74	8.74	NUM
alkej-494	166	145	discrepancy	discrepancy	NOUN
alkej-494	166	146	%	%	NOUN
alkej-494	166	147	2	2	NUM
alkej-494	166	148	1.33334	1.33334	NUM
alkej-494	166	149	1	1	NUM
alkej-494	166	150	matlab	matlab	PROPN
alkej-494	166	151	1.5	1.5	NUM
alkej-494	166	152	3.814	3.814	NUM
alkej-494	166	153	4.54	4.54	NUM
alkej-494	166	154	5.17	5.17	NUM
alkej-494	166	155	ansys	ansys	NOUN
alkej-494	166	156	3.84	3.84	NUM
alkej-494	166	157	4.553	4.553	NUM
alkej-494	166	158	5.1	5.1	NUM
alkej-494	166	159	discrepancy	discrepancy	NOUN
alkej-494	166	160	%	%	NOUN
alkej-494	166	161	0.677	0.677	NUM
alkej-494	166	162	0.2855	0.2855	NUM
alkej-494	166	163	1.354	1.354	NUM
alkej-494	166	164	mohammed	mohammed	PROPN
alkej-494	166	165	b.	b.	PROPN
alkej-494	166	166	hammed	hammed	PROPN
alkej-494	166	167	al	al	PROPN
alkej-494	166	168	-	-	PUNCT
alkej-494	166	169	khwarizmi	khwarizmi	PROPN
alkej-494	166	170	engineering	engineering	NOUN
alkej-494	166	171	journal	journal	PROPN
alkej-494	166	172	,	,	PUNCT
alkej-494	166	173	vol	vol	NOUN
alkej-494	166	174	.	.	PROPN
alkej-494	166	175	15	15	NUM
alkej-494	166	176	,	,	PUNCT
alkej-494	166	177	no	no	INTJ
alkej-494	166	178	.	.	NOUN
alkej-494	166	179	4	4	NUM
alkej-494	166	180	,	,	PUNCT
alkej-494	166	181	p.p	p.p	PROPN
alkej-494	166	182	.	.	NOUN
alkej-494	166	183	2332	2332	NUM
alkej-494	166	184	(	(	PUNCT
alkej-494	166	185	2019	2019	NUM
alkej-494	166	186	)	)	PUNCT
alkej-494	166	187	30	30	NUM
alkej-494	166	188	fig	fig	NOUN
alkej-494	166	189	.	.	PUNCT
alkej-494	167	1	2	2	X
alkej-494	167	2	.	.	X
alkej-494	167	3	mode	mode	NOUN
alkej-494	167	4	shape	shape	NOUN
alkej-494	167	5	for	for	ADP
alkej-494	167	6	free	free	ADJ
alkej-494	167	7	vibration	vibration	NOUN
alkej-494	167	8	of	of	ADP
alkej-494	167	9	(	(	PUNCT
alkej-494	167	10	cfff	cfff	PROPN
alkej-494	167	11	)	)	PUNCT
alkej-494	167	12	for	for	ADP
alkej-494	167	13	(	(	PUNCT
alkej-494	167	14	0/90/90/0	0/90/90/0	X
alkej-494	167	15	)	)	PUNCT
alkej-494	167	16	laminated	laminate	VERB
alkej-494	167	17	square	square	ADJ
alkej-494	167	18	plate	plate	NOUN
alkej-494	167	19	.	.	PUNCT
alkej-494	168	1	4	4	X
alkej-494	168	2	.	.	X
alkej-494	168	3	conclusion	conclusion	NOUN
alkej-494	168	4	in	in	ADP
alkej-494	168	5	the	the	DET
alkej-494	168	6	present	present	ADJ
alkej-494	168	7	work	work	NOUN
alkej-494	168	8	natural	natural	ADJ
alkej-494	168	9	frequency	frequency	NOUN
alkej-494	168	10	of	of	ADP
alkej-494	168	11	laminated	laminated	ADJ
alkej-494	168	12	plate	plate	NOUN
alkej-494	168	13	with	with	ADP
alkej-494	168	14	different	different	ADJ
alkej-494	168	15	angle	angle	NOUN
alkej-494	168	16	schemes	scheme	NOUN
alkej-494	168	17	under	under	ADP
alkej-494	168	18	ratios	ratio	NOUN
alkej-494	168	19	of	of	ADP
alkej-494	168	20	thermal	thermal	ADJ
alkej-494	168	21	buckling	buckling	NOUN
alkej-494	168	22	load	load	NOUN
alkej-494	168	23	and	and	CCONJ
alkej-494	168	24	general	general	ADJ
alkej-494	168	25	boundary	boundary	ADJ
alkej-494	168	26	conditions	condition	NOUN
alkej-494	168	27	was	be	AUX
alkej-494	168	28	developed	develop	VERB
alkej-494	168	29	using	use	VERB
alkej-494	168	30	ritz	ritz	PROPN
alkej-494	168	31	method	method	NOUN
alkej-494	168	32	based	base	VERB
alkej-494	168	33	on	on	ADP
alkej-494	168	34	a	a	DET
alkej-494	168	35	permissible	permissible	ADJ
alkej-494	168	36	function	function	NOUN
alkej-494	168	37	for	for	ADP
alkej-494	168	38	the	the	DET
alkej-494	168	39	first	first	ADJ
alkej-494	168	40	time	time	NOUN
alkej-494	168	41	.	.	PUNCT
alkej-494	169	1	changing	change	VERB
alkej-494	169	2	some	some	DET
alkej-494	169	3	design	design	NOUN
alkej-494	169	4	parameters	parameter	NOUN
alkej-494	169	5	such	such	ADJ
alkej-494	169	6	as	as	ADP
alkej-494	169	7	thickness	thickness	NOUN
alkej-494	169	8	ratio	ratio	NOUN
alkej-494	169	9	,	,	PUNCT
alkej-494	169	10	aspect	aspect	VERB
alkej-494	169	11	ratio	ratio	NOUN
alkej-494	169	12	and	and	CCONJ
alkej-494	169	13	orthotropic	orthotropic	ADJ
alkej-494	169	14	ratio	ratio	NOUN
alkej-494	169	15	are	be	AUX
alkej-494	169	16	also	also	ADV
alkej-494	169	17	studied	study	VERB
alkej-494	169	18	,	,	PUNCT
alkej-494	169	19	as	as	SCONJ
alkej-494	169	20	expected	expect	VERB
alkej-494	169	21	fundamental	fundamental	ADJ
alkej-494	169	22	frequency	frequency	NOUN
alkej-494	169	23	of	of	ADP
alkej-494	169	24	the	the	DET
alkej-494	169	25	plate	plate	NOUN
alkej-494	169	26	is	be	AUX
alkej-494	169	27	affected	affect	VERB
alkej-494	169	28	by	by	ADP
alkej-494	169	29	the	the	DET
alkej-494	169	30	ratio	ratio	NOUN
alkej-494	169	31	of	of	ADP
alkej-494	169	32	initial	initial	ADJ
alkej-494	169	33	thermal	thermal	ADJ
alkej-494	169	34	buckling	buckling	NOUN
alkej-494	169	35	load	load	NOUN
alkej-494	169	36	.	.	PUNCT
alkej-494	170	1	the	the	DET
alkej-494	170	2	results	result	NOUN
alkej-494	170	3	present	present	ADJ
alkej-494	170	4	to	to	ADP
alkej-494	170	5	this	this	DET
alkej-494	170	6	conclusions	conclusion	NOUN
alkej-494	170	7	;	;	PUNCT
alkej-494	170	8	the	the	DET
alkej-494	170	9	natural	natural	ADJ
alkej-494	170	10	frequencies	frequency	NOUN
alkej-494	170	11	for	for	ADP
alkej-494	170	12	laminates	laminate	NOUN
alkej-494	170	13	increase	increase	VERB
alkej-494	170	14	with	with	ADP
alkej-494	170	15	the	the	DET
alkej-494	170	16	increase	increase	NOUN
alkej-494	170	17	in	in	ADP
alkej-494	170	18	aspect	aspect	NOUN
alkej-494	170	19	ratio	ratio	NOUN
alkej-494	170	20	and	and	CCONJ
alkej-494	170	21	modules	module	NOUN
alkej-494	170	22	ratio	ratio	NOUN
alkej-494	170	23	e1	e1	PROPN
alkej-494	170	24	/	/	SYM
alkej-494	170	25	e2	e2	PROPN
alkej-494	170	26	.	.	PUNCT
alkej-494	171	1	the	the	DET
alkej-494	171	2	reduction	reduction	NOUN
alkej-494	171	3	of	of	ADP
alkej-494	171	4	natural	natural	ADJ
alkej-494	171	5	frequencies	frequency	NOUN
alkej-494	171	6	in	in	ADP
alkej-494	171	7	angle	angle	NOUN
alkej-494	171	8	ply	ply	NOUN
alkej-494	171	9	laminates	laminate	NOUN
alkej-494	171	10	is	be	AUX
alkej-494	171	11	much	much	ADV
alkej-494	171	12	higher	high	ADJ
alkej-494	171	13	compared	compare	VERB
alkej-494	171	14	to	to	PART
alkej-494	171	15	cross	cross	VERB
alkej-494	171	16	ply	ply	NOUN
alkej-494	171	17	laminate	laminate	NOUN
alkej-494	171	18	.	.	PUNCT
alkej-494	172	1	the	the	DET
alkej-494	172	2	ssss	ssss	NOUN
alkej-494	172	3	plate	plate	NOUN
alkej-494	172	4	is	be	AUX
alkej-494	172	5	the	the	DET
alkej-494	172	6	most	most	ADV
alkej-494	172	7	sensitive	sensitive	ADJ
alkej-494	172	8	against	against	ADP
alkej-494	172	9	simultaneous	simultaneous	ADJ
alkej-494	172	10	change	change	NOUN
alkej-494	172	11	in	in	ADP
alkej-494	172	12	the	the	DET
alkej-494	172	13	system	system	NOUN
alkej-494	172	14	properties	property	NOUN
alkej-494	172	15	,	,	PUNCT
alkej-494	172	16	and	and	CCONJ
alkej-494	172	17	thermal	thermal	ADJ
alkej-494	172	18	expansion	expansion	NOUN
alkej-494	172	19	coefficients	coefficient	NOUN
alkej-494	172	20	,	,	PUNCT
alkej-494	172	21	while	while	SCONJ
alkej-494	172	22	the	the	DET
alkej-494	172	23	cccc	cccc	NOUN
alkej-494	172	24	plate	plate	NOUN
alkej-494	172	25	is	be	AUX
alkej-494	172	26	the	the	DET
alkej-494	172	27	least	least	ADJ
alkej-494	172	28	sensitive	sensitive	ADJ
alkej-494	172	29	(	(	PUNCT
alkej-494	172	30	clamped	clamp	VERB
alkej-494	172	31	edges	edge	NOUN
alkej-494	172	32	conditions	condition	NOUN
alkej-494	172	33	offer	offer	VERB
alkej-494	172	34	high	high	ADJ
alkej-494	172	35	stiffness	stiffness	NOUN
alkej-494	172	36	)	)	PUNCT
alkej-494	172	37	.	.	PUNCT
alkej-494	173	1	therefore	therefore	ADV
alkej-494	173	2	,	,	PUNCT
alkej-494	173	3	this	this	DET
alkej-494	173	4	investigation	investigation	NOUN
alkej-494	173	5	showed	show	VERB
alkej-494	173	6	that	that	SCONJ
alkej-494	173	7	this	this	DET
alkej-494	173	8	function	function	NOUN
alkej-494	173	9	can	can	AUX
alkej-494	173	10	be	be	AUX
alkej-494	173	11	used	use	VERB
alkej-494	173	12	to	to	PART
alkej-494	173	13	find	find	VERB
alkej-494	173	14	work	work	NOUN
alkej-494	173	15	natural	natural	ADJ
alkej-494	173	16	frequency	frequency	NOUN
alkej-494	173	17	of	of	ADP
alkej-494	173	18	laminated	laminated	ADJ
alkej-494	173	19	plate	plate	NOUN
alkej-494	173	20	with	with	ADP
alkej-494	173	21	different	different	ADJ
alkej-494	173	22	angle	angle	NOUN
alkej-494	173	23	schemes	scheme	NOUN
alkej-494	173	24	under	under	ADP
alkej-494	173	25	ratios	ratio	NOUN
alkej-494	173	26	of	of	ADP
alkej-494	173	27	thermal	thermal	ADJ
alkej-494	173	28	buckling	buckling	NOUN
alkej-494	173	29	load	load	NOUN
alkej-494	173	30	and	and	CCONJ
alkej-494	173	31	general	general	ADJ
alkej-494	173	32	boundary	boundary	ADJ
alkej-494	173	33	conditions	condition	NOUN
alkej-494	173	34	.	.	PUNCT
alkej-494	174	1	5	5	X
alkej-494	174	2	.	.	NUM
alkej-494	174	3	references	reference	NOUN
alkej-494	174	4	[	[	X
alkej-494	174	5	1	1	NUM
alkej-494	174	6	]	]	PUNCT
alkej-494	174	7	achchhe	achchhe	VERB
alkej-494	174	8	lal	lal	PROPN
alkej-494	174	9	and	and	CCONJ
alkej-494	174	10	b.	b.	PROPN
alkej-494	174	11	n.	n.	PROPN
alkej-494	174	12	singh	singh	PROPN
alkej-494	174	13	,	,	PUNCT
alkej-494	174	14	“	"	PUNCT
alkej-494	174	15	stochastic	stochastic	ADJ
alkej-494	174	16	free	free	ADJ
alkej-494	174	17	vibration	vibration	NOUN
alkej-494	174	18	of	of	ADP
alkej-494	174	19	laminated	laminated	ADJ
alkej-494	174	20	composite	composite	ADJ
alkej-494	174	21	plates	plate	NOUN
alkej-494	174	22	in	in	ADP
alkej-494	174	23	thermal	thermal	ADJ
alkej-494	174	24	environments	environment	NOUN
alkej-494	174	25	”	"	PUNCT
alkej-494	174	26	,	,	PUNCT
alkej-494	174	27	journal	journal	NOUN
alkej-494	174	28	of	of	ADP
alkej-494	174	29	thermoplastic	thermoplastic	ADJ
alkej-494	174	30	composite	composite	ADJ
alkej-494	174	31	materials	material	NOUN
alkej-494	174	32	,	,	PUNCT
alkej-494	174	33	vol	vol	NOUN
alkej-494	174	34	.	.	PROPN
alkej-494	174	35	23	23	NUM
alkej-494	174	36	,	,	PUNCT
alkej-494	174	37	january	january	PROPN
alkej-494	174	38	2010	2010	NUM
alkej-494	174	39	.	.	PUNCT
alkej-494	175	1	[	[	X
alkej-494	175	2	2	2	NUM
alkej-494	175	3	]	]	PUNCT
alkej-494	175	4	behrooz	behrooz	NOUN
alkej-494	175	5	rahmani	rahmani	NOUN
alkej-494	175	6	and	and	CCONJ
alkej-494	175	7	amin	amin	PROPN
alkej-494	175	8	ghorbani	ghorbani	NOUN
alkej-494	175	9	shenas	shena	NOUN
alkej-494	175	10	.	.	PUNCT
alkej-494	176	1	"	"	PUNCT
alkej-494	176	2	robust	robust	ADJ
alkej-494	176	3	vibration	vibration	NOUN
alkej-494	176	4	control	control	NOUN
alkej-494	176	5	of	of	ADP
alkej-494	176	6	laminated	laminate	VERB
alkej-494	176	7	rectangular	rectangular	ADJ
alkej-494	176	8	composite	composite	ADJ
alkej-494	176	9	plates	plate	NOUN
alkej-494	176	10	in	in	ADP
alkej-494	176	11	hygrothermal	hygrothermal	ADJ
alkej-494	176	12	and	and	CCONJ
alkej-494	176	13	thermal	thermal	ADJ
alkej-494	176	14	environment	environment	NOUN
alkej-494	176	15	"	"	PUNCT
alkej-494	176	16	,	,	PUNCT
alkej-494	176	17	composite	composite	ADJ
alkej-494	176	18	structures	structure	NOUN
alkej-494	176	19	,	,	PUNCT
alkej-494	176	20	s0263	s0263	NOUN
alkej-494	176	21	-	-	SYM
alkej-494	176	22	8223	8223	NUM
alkej-494	176	23	(	(	PUNCT
alkej-494	176	24	16)32874	16)32874	NUM
alkej-494	176	25	-	-	PUNCT
alkej-494	176	26	4(2017	4(2017	NUM
alkej-494	176	27	)	)	PUNCT
alkej-494	176	28	.	.	PUNCT
alkej-494	177	1	[	[	X
alkej-494	177	2	3	3	X
alkej-494	177	3	]	]	X
alkej-494	177	4	chun	chun	PROPN
alkej-494	177	5	-	-	PUNCT
alkej-494	177	6	sheng	sheng	PROPN
alkej-494	177	7	chen	chen	PROPN
alkej-494	177	8	,	,	PUNCT
alkej-494	177	9	chih	chih	PROPN
alkej-494	177	10	-	-	PUNCT
alkej-494	177	11	wen	wen	PROPN
alkej-494	177	12	chen	chen	PROPN
alkej-494	177	13	,	,	PUNCT
alkej-494	177	14	wei	wei	PROPN
alkej-494	177	15	-	-	PROPN
alkej-494	177	16	ren	ren	PROPN
alkej-494	177	17	chen	chen	PROPN
alkej-494	177	18	and	and	CCONJ
alkej-494	177	19	yi	yi	PROPN
alkej-494	177	20	-	-	PUNCT
alkej-494	177	21	chen	chen	PROPN
alkej-494	177	22	chang	chang	PROPN
alkej-494	177	23	.	.	PUNCT
alkej-494	178	1	"	"	PUNCT
alkej-494	178	2	thermally	thermally	ADV
alkej-494	178	3	induced	induce	VERB
alkej-494	178	4	vibration	vibration	NOUN
alkej-494	178	5	and	and	CCONJ
alkej-494	178	6	stability	stability	NOUN
alkej-494	178	7	of	of	ADP
alkej-494	178	8	laminated	laminate	VERB
alkej-494	178	9	composite	composite	ADJ
alkej-494	178	10	plates	plate	NOUN
alkej-494	178	11	with	with	ADP
alkej-494	178	12	temperature	temperature	NOUN
alkej-494	178	13	-	-	PUNCT
alkej-494	178	14	dependent	dependent	ADJ
alkej-494	178	15	mohammed	mohammed	PROPN
alkej-494	178	16	b.	b.	PROPN
alkej-494	178	17	hammed	hammed	PROPN
alkej-494	178	18	al	al	PROPN
alkej-494	178	19	-	-	PUNCT
alkej-494	178	20	khwarizmi	khwarizmi	PROPN
alkej-494	178	21	engineering	engineering	NOUN
alkej-494	178	22	journal	journal	PROPN
alkej-494	178	23	,	,	PUNCT
alkej-494	178	24	vol	vol	NOUN
alkej-494	178	25	.	.	PROPN
alkej-494	178	26	15	15	NUM
alkej-494	178	27	,	,	PUNCT
alkej-494	178	28	no	no	INTJ
alkej-494	178	29	.	.	NOUN
alkej-494	178	30	4	4	NUM
alkej-494	178	31	,	,	PUNCT
alkej-494	178	32	p.p	p.p	PROPN
alkej-494	178	33	.	.	NOUN
alkej-494	178	34	2332	2332	NUM
alkej-494	178	35	(	(	PUNCT
alkej-494	178	36	2019	2019	NUM
alkej-494	178	37	)	)	PUNCT
alkej-494	178	38	31	31	NUM
alkej-494	178	39	properties	property	NOUN
alkej-494	178	40	"	"	PUNCT
alkej-494	178	41	,	,	PUNCT
alkej-494	178	42	meccanica	meccanica	PROPN
alkej-494	178	43	,	,	PUNCT
alkej-494	178	44	doi	doi	NOUN
alkej-494	178	45	10.1007	10.1007	NUM
alkej-494	178	46	/	/	SYM
alkej-494	178	47	s11012013	s11012013	NOUN
alkej-494	178	48	-	-	PUNCT
alkej-494	178	49	9750	9750	NUM
alkej-494	178	50	-	-	SYM
alkej-494	178	51	7(2013	7(2013	NUM
alkej-494	178	52	)	)	PUNCT
alkej-494	178	53	.	.	PUNCT
alkej-494	179	1	[	[	X
alkej-494	179	2	4	4	X
alkej-494	179	3	]	]	X
alkej-494	179	4	henry	henry	PROPN
alkej-494	179	5	khov	khov	PROPN
alkej-494	179	6	,	,	PUNCT
alkej-494	179	7	wen	wen	PROPN
alkej-494	179	8	l.	l.	PROPN
alkej-494	179	9	li	li	PROPN
alkej-494	179	10	and	and	CCONJ
alkej-494	179	11	ronald	ronald	PROPN
alkej-494	179	12	f.	f.	PROPN
alkej-494	179	13	gibson	gibson	PROPN
alkej-494	179	14	,	,	PUNCT
alkej-494	179	15	“	"	PUNCT
alkej-494	179	16	an	an	DET
alkej-494	179	17	accurate	accurate	ADJ
alkej-494	179	18	solution	solution	NOUN
alkej-494	179	19	method	method	NOUN
alkej-494	179	20	for	for	ADP
alkej-494	179	21	the	the	DET
alkej-494	179	22	static	static	ADJ
alkej-494	179	23	and	and	CCONJ
alkej-494	179	24	dynamic	dynamic	ADJ
alkej-494	179	25	deflections	deflection	NOUN
alkej-494	179	26	of	of	ADP
alkej-494	179	27	orthotropic	orthotropic	ADJ
alkej-494	179	28	plates	plate	NOUN
alkej-494	179	29	with	with	ADP
alkej-494	179	30	general	general	ADJ
alkej-494	179	31	boundary	boundary	ADJ
alkej-494	179	32	conditions	condition	NOUN
alkej-494	179	33	”	"	PUNCT
alkej-494	179	34	,	,	PUNCT
alkej-494	179	35	composite	composite	ADJ
alkej-494	179	36	structures	structure	NOUN
alkej-494	179	37	,	,	PUNCT
alkej-494	179	38	vol	vol	NOUN
alkej-494	179	39	.	.	PROPN
alkej-494	179	40	90	90	NUM
alkej-494	179	41	,	,	PUNCT
alkej-494	179	42	p.	p.	NOUN
alkej-494	179	43	474–481	474–481	NUM
alkej-494	179	44	,	,	PUNCT
alkej-494	179	45	2009	2009	NUM
alkej-494	179	46	.	.	PUNCT
alkej-494	180	1	[	[	X
alkej-494	180	2	5	5	X
alkej-494	180	3	]	]	X
alkej-494	180	4	hossein	hossein	PROPN
alkej-494	180	5	amoushahi	amoushahi	PROPN
alkej-494	180	6	and	and	CCONJ
alkej-494	180	7	farshad	farshad	VERB
alkej-494	180	8	goodarzian	goodarzian	ADJ
alkej-494	180	9	.	.	PUNCT
alkej-494	181	1	"	"	PUNCT
alkej-494	181	2	dynamic	dynamic	ADJ
alkej-494	181	3	and	and	CCONJ
alkej-494	181	4	buckling	buckle	VERB
alkej-494	181	5	analysis	analysis	NOUN
alkej-494	181	6	of	of	ADP
alkej-494	181	7	composite	composite	ADJ
alkej-494	181	8	laminated	laminate	VERB
alkej-494	181	9	plates	plate	NOUN
alkej-494	181	10	with	with	ADP
alkej-494	181	11	and	and	CCONJ
alkej-494	181	12	without	without	ADP
alkej-494	181	13	strip	strip	NOUN
alkej-494	181	14	delamination	delamination	NOUN
alkej-494	181	15	under	under	ADP
alkej-494	181	16	hygrothermal	hygrothermal	ADJ
alkej-494	181	17	effects	effect	NOUN
alkej-494	181	18	using	use	VERB
alkej-494	181	19	finite	finite	PROPN
alkej-494	181	20	strip	strip	PROPN
alkej-494	181	21	method	method	NOUN
alkej-494	181	22	"	"	PUNCT
alkej-494	181	23	,	,	PUNCT
alkej-494	181	24	thin	thin	ADJ
alkej-494	181	25	-	-	PUNCT
alkej-494	181	26	walled	walled	ADJ
alkej-494	181	27	structures	structure	NOUN
alkej-494	181	28	,	,	PUNCT
alkej-494	181	29	131	131	NUM
alkej-494	181	30	(	(	PUNCT
alkej-494	181	31	2018	2018	NUM
alkej-494	181	32	)	)	PUNCT
alkej-494	181	33	88–101	88–101	NUM
alkej-494	181	34	.	.	PUNCT
alkej-494	182	1	[	[	X
alkej-494	182	2	6	6	NUM
alkej-494	182	3	]	]	X
alkej-494	182	4	j.n	j.n	PROPN
alkej-494	182	5	.	.	PROPN
alkej-494	182	6	reddy	reddy	PROPN
alkej-494	182	7	,	,	PUNCT
alkej-494	182	8	“	"	PUNCT
alkej-494	182	9	mechanics	mechanic	NOUN
alkej-494	182	10	of	of	ADP
alkej-494	182	11	laminated	laminate	VERB
alkej-494	182	12	composite	composite	ADJ
alkej-494	182	13	plates	plate	NOUN
alkej-494	182	14	and	and	CCONJ
alkej-494	182	15	shells	shell	NOUN
alkej-494	182	16	:	:	PUNCT
alkej-494	182	17	theory	theory	NOUN
alkej-494	182	18	and	and	CCONJ
alkej-494	182	19	analysis	analysis	NOUN
alkej-494	182	20	”	"	PUNCT
alkej-494	182	21	,	,	PUNCT
alkej-494	182	22	2nd	2nd	ADJ
alkej-494	182	23	ed	ed	NOUN
alkej-494	182	24	.	.	PUNCT
alkej-494	182	25	;	;	PUNCT
alkej-494	182	26	crc	crc	PROPN
alkej-494	182	27	press	press	PROPN
alkej-494	182	28	llc	llc	PROPN
alkej-494	182	29	,	,	PUNCT
alkej-494	182	30	2004	2004	NUM
alkej-494	182	31	.	.	PUNCT
alkej-494	183	1	[	[	X
alkej-494	183	2	7	7	X
alkej-494	183	3	]	]	X
alkej-494	183	4	ibtehal	ibtehal	PROPN
alkej-494	183	5	abbas	abbas	PROPN
alkej-494	183	6	sadiq	sadiq	PROPN
alkej-494	183	7	,	,	PUNCT
alkej-494	183	8	and	and	CCONJ
alkej-494	183	9	kani	kani	PROPN
alkej-494	183	10	hussein	hussein	PROPN
alkej-494	183	11	bawa	bawa	PROPN
alkej-494	183	12	.	.	PUNCT
alkej-494	184	1	“	"	PUNCT
alkej-494	184	2	vibration	vibration	NOUN
alkej-494	184	3	analysis	analysis	NOUN
alkej-494	184	4	of	of	ADP
alkej-494	184	5	cross	cross	ADJ
alkej-494	184	6	-	-	ADJ
alkej-494	184	7	ply	ply	ADJ
alkej-494	184	8	plates	plate	NOUN
alkej-494	184	9	under	under	ADP
alkej-494	184	10	initial	initial	ADJ
alkej-494	184	11	stress	stress	NOUN
alkej-494	184	12	using	use	VERB
alkej-494	184	13	refined	refined	ADJ
alkej-494	184	14	theory	theory	NOUN
alkej-494	184	15	”	"	PUNCT
alkej-494	184	16	.	.	PUNCT
alkej-494	185	1	alkhwarizmi	alkhwarizmi	NOUN
alkej-494	185	2	engineering	engineering	PROPN
alkej-494	185	3	journal	journal	PROPN
alkej-494	185	4	,	,	PUNCT
alkej-494	185	5	vol	vol	NOUN
alkej-494	185	6	.	.	PROPN
alkej-494	185	7	14	14	NUM
alkej-494	185	8	,	,	PUNCT
alkej-494	185	9	no.4	no.4	PROPN
alkej-494	185	10	,	,	PUNCT
alkej-494	185	11	december	december	PROPN
alkej-494	185	12	,	,	PUNCT
alkej-494	185	13	(	(	PUNCT
alkej-494	185	14	2018	2018	NUM
alkej-494	185	15	)	)	PUNCT
alkej-494	185	16	p.p	p.p	PROPN
alkej-494	185	17	.	.	NOUN
alkej-494	185	18	3444	3444	NUM
alkej-494	185	19	.	.	PUNCT
alkej-494	186	1	[	[	X
alkej-494	186	2	8	8	X
alkej-494	186	3	]	]	PUNCT
alkej-494	186	4	wael	wael	PROPN
alkej-494	186	5	r.	r.	PROPN
alkej-494	186	6	abdul	abdul	PROPN
alkej-494	186	7	-	-	PUNCT
alkej-494	186	8	majeed	majeed	PROPN
alkej-494	186	9	.	.	PUNCT
alkej-494	187	1	“	"	PUNCT
alkej-494	187	2	restrained	restrained	ADJ
alkej-494	187	3	edges	edge	NOUN
alkej-494	187	4	effect	effect	NOUN
alkej-494	187	5	on	on	ADP
alkej-494	187	6	the	the	DET
alkej-494	187	7	dynamics	dynamic	NOUN
alkej-494	187	8	of	of	ADP
alkej-494	187	9	thermoelastic	thermoelastic	ADJ
alkej-494	187	10	plates	plate	NOUN
alkej-494	187	11	under	under	ADP
alkej-494	187	12	different	different	ADJ
alkej-494	187	13	end	end	NOUN
alkej-494	187	14	conditions	condition	NOUN
alkej-494	187	15	.	.	PUNCT
alkej-494	187	16	”	"	PUNCT
alkej-494	188	1	alkhwarizmi	alkhwarizmi	NOUN
alkej-494	188	2	engineering	engineering	NOUN
alkej-494	188	3	journal	journal	PROPN
alkej-494	188	4	,	,	PUNCT
alkej-494	188	5	vol	vol	NOUN
alkej-494	188	6	.	.	PROPN
alkej-494	188	7	8	8	NUM
alkej-494	188	8	,	,	PUNCT
alkej-494	188	9	no	no	INTJ
alkej-494	188	10	.	.	NOUN
alkej-494	188	11	2	2	NUM
alkej-494	188	12	,	,	PUNCT
alkej-494	188	13	pp	pp	ADV
alkej-494	188	14	1	1	NUM
alkej-494	188	15	-	-	SYM
alkej-494	188	16	11	11	NUM
alkej-494	188	17	(	(	PUNCT
alkej-494	188	18	2012	2012	NUM
alkej-494	188	19	)	)	PUNCT
alkej-494	188	20	.	.	PUNCT
alkej-494	189	1	[	[	X
alkej-494	189	2	9	9	NUM
alkej-494	189	3	]	]	X
alkej-494	189	4	rath	rath	PROPN
alkej-494	189	5	,	,	PUNCT
alkej-494	189	6	m.	m.	NOUN
alkej-494	189	7	,	,	PUNCT
alkej-494	189	8	and	and	CCONJ
alkej-494	189	9	s.	s.	PROPN
alkej-494	189	10	sahu	sahu	PROPN
alkej-494	189	11	.	.	PUNCT
alkej-494	190	1	"	"	PUNCT
alkej-494	190	2	vibration	vibration	NOUN
alkej-494	190	3	of	of	ADP
alkej-494	190	4	woven	weave	VERB
alkej-494	190	5	fiber	fiber	NOUN
alkej-494	190	6	laminated	laminate	VERB
alkej-494	190	7	composite	composite	ADJ
alkej-494	190	8	plates	plate	NOUN
alkej-494	190	9	in	in	ADP
alkej-494	190	10	hygrothermal	hygrothermal	ADJ
alkej-494	190	11	environment	environment	NOUN
alkej-494	190	12	"	"	PUNCT
alkej-494	190	13	,	,	PUNCT
alkej-494	190	14	journal	journal	NOUN
alkej-494	190	15	of	of	ADP
alkej-494	190	16	vibration	vibration	NOUN
alkej-494	190	17	and	and	CCONJ
alkej-494	190	18	control	control	NOUN
alkej-494	190	19	,	,	PUNCT
alkej-494	190	20	2012	2012	NUM
alkej-494	190	21	.	.	PUNCT
alkej-494	191	1	[	[	X
alkej-494	191	2	10	10	NUM
alkej-494	191	3	]	]	X
alkej-494	191	4	moumita	moumita	PROPN
alkej-494	191	5	sit	sit	VERB
alkej-494	191	6	and	and	CCONJ
alkej-494	191	7	chaitali	chaitali	VERB
alkej-494	191	8	ray	ray	PROPN
alkej-494	191	9	.	.	PUNCT
alkej-494	192	1	“	"	PUNCT
alkej-494	192	2	a	a	DET
alkej-494	192	3	third	third	ADJ
alkej-494	192	4	order	order	NOUN
alkej-494	192	5	nonlinear	nonlinear	ADJ
alkej-494	192	6	model	model	NOUN
alkej-494	192	7	to	to	PART
alkej-494	192	8	study	study	VERB
alkej-494	192	9	the	the	DET
alkej-494	192	10	dynamic	dynamic	ADJ
alkej-494	192	11	behavior	behavior	NOUN
alkej-494	192	12	of	of	ADP
alkej-494	192	13	composite	composite	ADJ
alkej-494	192	14	laminated	laminate	VERB
alkej-494	192	15	structures	structure	NOUN
alkej-494	192	16	under	under	ADP
alkej-494	192	17	the	the	DET
alkej-494	192	18	thermal	thermal	ADJ
alkej-494	192	19	effect	effect	NOUN
alkej-494	192	20	with	with	ADP
alkej-494	192	21	experimental	experimental	ADJ
alkej-494	192	22	verification	verification	NOUN
alkej-494	192	23	.	.	PUNCT
alkej-494	192	24	”	"	PUNCT
alkej-494	193	1	composite	composite	ADJ
alkej-494	193	2	structures	structure	NOUN
alkej-494	193	3	,	,	PUNCT
alkej-494	193	4	s02638223	s02638223	NOUN
alkej-494	193	5	(	(	PUNCT
alkej-494	193	6	18)32606	18)32606	PROPN
alkej-494	193	7	-	-	SYM
alkej-494	193	8	0	0	NUM
alkej-494	193	9	(	(	PUNCT
alkej-494	193	10	2019	2019	NUM
alkej-494	193	11	)	)	PUNCT
alkej-494	193	12	.	.	PUNCT
alkej-494	194	1	[	[	X
alkej-494	194	2	11	11	NUM
alkej-494	194	3	]	]	X
alkej-494	194	4	robert	robert	PROPN
alkej-494	194	5	g.	g.	PROPN
alkej-494	194	6	brown	brown	PROPN
alkej-494	194	7	,	,	PUNCT
alkej-494	194	8	“	"	PUNCT
alkej-494	194	9	introductory	introductory	ADJ
alkej-494	194	10	physics	physics	NOUN
alkej-494	194	11	i	i	PROPN
alkej-494	194	12	:	:	PUNCT
alkej-494	194	13	elementary	elementary	ADJ
alkej-494	194	14	mechanics	mechanic	NOUN
alkej-494	194	15	”	"	PUNCT
alkej-494	194	16	,	,	PUNCT
alkej-494	194	17	duke	duke	PROPN
alkej-494	194	18	university	university	PROPN
alkej-494	194	19	physics	physics	PROPN
alkej-494	194	20	department	department	PROPN
alkej-494	194	21	,	,	PUNCT
alkej-494	194	22	2007	2007	NUM
alkej-494	194	23	.	.	PUNCT
alkej-494	195	1	[	[	X
alkej-494	195	2	12	12	NUM
alkej-494	195	3	]	]	X
alkej-494	195	4	victor	victor	NOUN
alkej-494	195	5	birman	birman	NOUN
alkej-494	195	6	,	,	PUNCT
alkej-494	195	7	“	"	PUNCT
alkej-494	195	8	solid	solid	ADJ
alkej-494	195	9	mechanics	mechanic	NOUN
alkej-494	195	10	and	and	CCONJ
alkej-494	195	11	its	its	PRON
alkej-494	195	12	applications	application	NOUN
alkej-494	195	13	:	:	PUNCT
alkej-494	195	14	plate	plate	NOUN
alkej-494	195	15	structures	structure	NOUN
alkej-494	195	16	”	"	PUNCT
alkej-494	195	17	,	,	PUNCT
alkej-494	195	18	springer	springer	NOUN
alkej-494	195	19	science	science	PROPN
alkej-494	195	20	b.v	b.v	PROPN
alkej-494	195	21	.	.	PROPN
alkej-494	195	22	2011	2011	NUM
alkej-494	195	23	.	.	PUNCT
alkej-494	196	1	[	[	X
alkej-494	196	2	13	13	NUM
alkej-494	196	3	]	]	X
alkej-494	196	4	w.l	w.l	PROPN
alkej-494	196	5	.	.	PROPN
alkej-494	196	6	li	li	PROPN
alkej-494	196	7	,	,	PUNCT
alkej-494	196	8	“	"	PUNCT
alkej-494	196	9	vibration	vibration	NOUN
alkej-494	196	10	analysis	analysis	NOUN
alkej-494	196	11	of	of	ADP
alkej-494	196	12	rectangular	rectangular	ADJ
alkej-494	196	13	plates	plate	NOUN
alkej-494	196	14	with	with	ADP
alkej-494	196	15	general	general	ADJ
alkej-494	196	16	elastic	elastic	ADJ
alkej-494	196	17	boundary	boundary	NOUN
alkej-494	196	18	supports	support	NOUN
alkej-494	196	19	”	"	PUNCT
alkej-494	196	20	,	,	PUNCT
alkej-494	196	21	journal	journal	NOUN
alkej-494	196	22	of	of	ADP
alkej-494	196	23	sound	sound	NOUN
alkej-494	196	24	and	and	CCONJ
alkej-494	196	25	vibration	vibration	NOUN
alkej-494	196	26	,	,	PUNCT
alkej-494	196	27	vol	vol	NOUN
alkej-494	196	28	.	.	PROPN
alkej-494	196	29	273	273	NUM
alkej-494	196	30	,	,	PUNCT
alkej-494	196	31	p.	p.	NOUN
alkej-494	196	32	619–635,2004	619–635,2004	NUM
alkej-494	196	33	.	.	PUNCT
alkej-494	197	1	[	[	X
alkej-494	197	2	14	14	NUM
alkej-494	197	3	]	]	X
alkej-494	197	4	w.l	w.l	PROPN
alkej-494	197	5	.	.	PROPN
alkej-494	197	6	li	li	PROPN
alkej-494	197	7	,	,	PUNCT
alkej-494	197	8	“	"	PUNCT
alkej-494	197	9	free	free	ADJ
alkej-494	197	10	vibrations	vibration	NOUN
alkej-494	197	11	of	of	ADP
alkej-494	197	12	beam	beam	NOUN
alkej-494	197	13	with	with	ADP
alkej-494	197	14	general	general	ADJ
alkej-494	197	15	boundary	boundary	ADJ
alkej-494	197	16	conditions	condition	NOUN
alkej-494	197	17	”	"	PUNCT
alkej-494	197	18	,	,	PUNCT
alkej-494	197	19	journal	journal	NOUN
alkej-494	197	20	of	of	ADP
alkej-494	197	21	sound	sound	NOUN
alkej-494	197	22	and	and	CCONJ
alkej-494	197	23	vibration	vibration	NOUN
alkej-494	197	24	,	,	PUNCT
alkej-494	197	25	vol.237	vol.237	NUM
alkej-494	197	26	,	,	PUNCT
alkej-494	197	27	p.709–725	p.709–725	PROPN
alkej-494	197	28	,	,	PUNCT
alkej-494	197	29	2000	2000	NUM
alkej-494	197	30	.	.	PUNCT
alkej-494	198	1	[	[	X
alkej-494	198	2	15	15	NUM
alkej-494	198	3	]	]	X
alkej-494	198	4	li	li	PROPN
alkej-494	198	5	,	,	PUNCT
alkej-494	198	6	xiangyang	xiangyang	PROPN
alkej-494	198	7	,	,	PUNCT
alkej-494	198	8	kaiping	kaipe	VERB
alkej-494	198	9	yu	yu	PROPN
alkej-494	198	10	,	,	PUNCT
alkej-494	198	11	jingyong	jingyong	PROPN
alkej-494	198	12	han	han	PROPN
alkej-494	198	13	,	,	PUNCT
alkej-494	198	14	haiyang	haiyang	NOUN
alkej-494	198	15	song	song	NOUN
alkej-494	198	16	and	and	CCONJ
alkej-494	198	17	rui	rui	PROPN
alkej-494	198	18	zhao	zhao	PROPN
alkej-494	198	19	.	.	PUNCT
alkej-494	199	1	"	"	PUNCT
alkej-494	199	2	buckling	buckle	VERB
alkej-494	199	3	and	and	CCONJ
alkej-494	199	4	vibro	vibro	NOUN
alkej-494	199	5	-	-	PUNCT
alkej-494	199	6	acoustic	acoustic	ADJ
alkej-494	199	7	response	response	NOUN
alkej-494	199	8	of	of	ADP
alkej-494	199	9	the	the	DET
alkej-494	199	10	clamped	clamp	VERB
alkej-494	199	11	composite	composite	ADJ
alkej-494	199	12	laminated	laminate	VERB
alkej-494	199	13	plate	plate	NOUN
alkej-494	199	14	in	in	ADP
alkej-494	199	15	thermal	thermal	ADJ
alkej-494	199	16	environment	environment	NOUN
alkej-494	199	17	"	"	PUNCT
alkej-494	199	18	,	,	PUNCT
alkej-494	199	19	international	international	ADJ
alkej-494	199	20	journal	journal	NOUN
alkej-494	199	21	of	of	ADP
alkej-494	199	22	mechanical	mechanical	ADJ
alkej-494	199	23	sciences	science	NOUN
alkej-494	199	24	,	,	PUNCT
alkej-494	199	25	s0020	s0020	NOUN
alkej-494	199	26	-	-	PUNCT
alkej-494	199	27	7403	7403	NUM
alkej-494	199	28	(	(	PUNCT
alkej-494	199	29	16)30588	16)30588	NUM
alkej-494	199	30	-	-	SYM
alkej-494	199	31	4(2016	4(2016	NUM
alkej-494	199	32	)	)	PUNCT
alkej-494	199	33	.	.	PUNCT
alkej-494	200	1	[	[	X
alkej-494	200	2	16	16	NUM
alkej-494	200	3	]	]	X
alkej-494	200	4	zainab	zainab	PROPN
alkej-494	200	5	abdul	abdul	PROPN
alkej-494	200	6	kareem	kareem	PROPN
alkej-494	200	7	abed	abe	VERB
alkej-494	200	8	.	.	PUNCT
alkej-494	201	1	“	"	PUNCT
alkej-494	201	2	buckling	buckle	VERB
alkej-494	201	3	and	and	CCONJ
alkej-494	201	4	pre	pre	ADJ
alkej-494	201	5	stressed	stressed	ADJ
alkej-494	201	6	dynamics	dynamic	NOUN
alkej-494	201	7	analysis	analysis	NOUN
alkej-494	201	8	of	of	ADP
alkej-494	201	9	laminated	laminated	ADJ
alkej-494	201	10	composite	composite	ADJ
alkej-494	201	11	plate	plate	NOUN
alkej-494	201	12	with	with	ADP
alkej-494	201	13	different	different	ADJ
alkej-494	201	14	boundary	boundary	ADJ
alkej-494	201	15	conditions	condition	NOUN
alkej-494	201	16	”	"	PUNCT
alkej-494	201	17	.	.	PUNCT
alkej-494	202	1	al	al	PROPN
alkej-494	202	2	-	-	PUNCT
alkej-494	202	3	khwarizmi	khwarizmi	PROPN
alkej-494	202	4	engineering	engineering	NOUN
alkej-494	202	5	journal	journal	PROPN
alkej-494	202	6	,	,	PUNCT
alkej-494	202	7	vol	vol	NOUN
alkej-494	202	8	.	.	PROPN
alkej-494	202	9	15	15	NUM
alkej-494	202	10	,	,	PUNCT
alkej-494	202	11	no	no	INTJ
alkej-494	202	12	.	.	NOUN
alkej-494	202	13	1	1	NUM
alkej-494	202	14	,	,	PUNCT
alkej-494	202	15	march	march	PROPN
alkej-494	202	16	,	,	PUNCT
alkej-494	202	17	(	(	PUNCT
alkej-494	202	18	2019	2019	NUM
alkej-494	202	19	)	)	PUNCT
alkej-494	202	20	p.p	p.p	PROPN
alkej-494	202	21	.	.	PROPN
alkej-494	202	22	4655	4655	NUM
alkej-494	202	23	.	.	PUNCT
alkej-494	203	1	[	[	X
alkej-494	203	2	17	17	NUM
alkej-494	203	3	]	]	X
alkej-494	203	4	w.l	w.l	PROPN
alkej-494	203	5	.	.	PROPN
alkej-494	203	6	li	li	PROPN
alkej-494	203	7	..	..	PROPN
alkej-494	203	8	,	,	PUNCT
alkej-494	203	9	and	and	CCONJ
alkej-494	203	10	m.	m.	NOUN
alkej-494	203	11	daniels	daniels	PROPN
alkej-494	203	12	.	.	PUNCT
alkej-494	204	1	"	"	PUNCT
alkej-494	204	2	a	a	DET
alkej-494	204	3	fourier	fourier	NOUN
alkej-494	204	4	series	series	NOUN
alkej-494	204	5	method	method	NOUN
alkej-494	204	6	for	for	ADP
alkej-494	204	7	the	the	DET
alkej-494	204	8	vibrations	vibration	NOUN
alkej-494	204	9	of	of	ADP
alkej-494	204	10	elastically	elastically	ADV
alkej-494	204	11	restrained	restrained	ADJ
alkej-494	204	12	plates	plate	NOUN
alkej-494	204	13	arbitrarily	arbitrarily	ADV
alkej-494	204	14	loaded	load	VERB
alkej-494	204	15	with	with	ADP
alkej-494	204	16	springs	spring	NOUN
alkej-494	204	17	and	and	CCONJ
alkej-494	204	18	masses	masse	NOUN
alkej-494	204	19	.	.	PUNCT
alkej-494	204	20	"	"	PUNCT
alkej-494	205	1	journal	journal	NOUN
alkej-494	205	2	of	of	ADP
alkej-494	205	3	sound	sound	ADJ
alkej-494	205	4	vibration	vibration	NOUN
alkej-494	205	5	vol	vol	NOUN
alkej-494	205	6	.	.	PUNCT
alkej-494	206	1	252	252	NUM
alkej-494	206	2	(	(	PUNCT
alkej-494	206	3	2002	2002	NUM
alkej-494	206	4	)	)	PUNCT
alkej-494	207	1	pp	pp	ADP
alkej-494	207	2	:	:	PUNCT
alkej-494	207	3	768	768	NUM
alkej-494	207	4	-	-	SYM
alkej-494	207	5	781	781	NUM
alkej-494	207	6	.	.	PUNCT
alkej-494	207	7	)	)	PUNCT
alkej-494	207	8	2019	2019	NUM
alkej-494	207	9	(	(	PUNCT
alkej-494	207	10	2332	2332	NUM
alkej-494	207	11	،	،	NOUN
alkej-494	207	12	صفحة	صفحة	NOUN
alkej-494	207	13	4لعدد	4لعدد	PROPN
alkej-494	207	14	ا	ا	X
alkej-494	207	15	،	،	NOUN
alkej-494	207	16	15دجلة	15دجلة	PROPN
alkej-494	208	1	الخوارزمي	الخوارزمي	VERB
alkej-494	208	2	الهندسية	الهندسية	PROPN
alkej-494	208	3	المجلممحمد	المجلممحمد	PROPN
alkej-494	208	4	بشير	بشير	PROPN
alkej-494	208	5	حميد	حميد	PROPN
alkej-494	208	6	32	32	PROPN
alkej-494	208	7	الحمل	الحمل	NOUN
alkej-494	208	8	تحت	تحت	PROPN
alkej-494	208	9	العامة	العامة	PROPN
alkej-494	208	10	الحدود	الحدود	NOUN
alkej-494	208	11	ذات	ذات	VERB
alkej-494	208	12	المرنة	المرنة	NOUN
alkej-494	208	13	الدعامات	الدعامات	VERB
alkej-494	208	14	ذات	ذات	NOUN
alkej-494	208	15	المركبة	المركبة	ADJ
alkej-494	208	16	للصفائح	للصفائح	NOUN
alkej-494	208	17	الحر	الحر	NOUN
alkej-494	208	18	االهتزاز	االهتزاز	NOUN
alkej-494	208	19	تحليل	تحليل	PROPN
alkej-494	208	20	األولي	األولي	NOUN
alkej-494	208	21	الحراري	الحراري	PROPN
alkej-494	208	22	*	*	PUNCT
alkej-494	209	1	*	*	PUNCT
alkej-494	209	2	د	د	PRON
alkej-494	209	3	ابراهيم	ابراهيم	NOUN
alkej-494	209	4	مجيدودا	مجيدودا	NOUN
alkej-494	209	5	*	*	PUNCT
alkej-494	209	6	*	*	PUNCT
alkej-494	209	7	محمد	محمد	ADJ
alkej-494	209	8	بشير	بشير	NOUN
alkej-494	209	9	حميد	حميد	NOUN
alkej-494	209	10	بغدادقسم	بغدادقسم	NOUN
alkej-494	209	11	الهندسة	الهندسة	VERB
alkej-494	209	12	الميكانيكية	الميكانيكية	ADJ
alkej-494	209	13	/	/	SYM
alkej-494	209	14	جامعة	جامعة	NOUN
alkej-494	209	15	*	*	PUNCT
alkej-494	209	16	،	،	X
alkej-494	209	17	*	*	NOUN
alkej-494	209	18	*	*	NOUN
alkej-494	209	19	wedad.ibrahim@coeg.uobaghdad.edu.iq**البريد	wedad.ibrahim@coeg.uobaghdad.edu.iq**البريد	VERB
alkej-494	209	20	االلكتروني	االلكتروني	NOUN
alkej-494	209	21	:	:	PUNCT
alkej-494	209	22	alabas@gmail.com88mohammed*البريد	alabas@gmail.com88mohammed*البريد	ADJ
alkej-494	209	23	االلكتروني	االلكتروني	PROPN
alkej-494	209	24	:	:	PUNCT
alkej-494	209	25	خالصةال	خالصةال	VERB
alkej-494	209	26	د	د	PROPN
alkej-494	209	27	معادلة	معادلة	PROPN
alkej-494	209	28	الحركة	الحركة	PROPN
alkej-494	209	29	اعتمتم	اعتمتم	PROPN
alkej-494	209	30	اللوحات	اللوحات	PROPN
alkej-494	209	31	مغلفة	مغلفة	PROPN
alkej-494	209	32	رقيقة	رقيقة	NOUN
alkej-494	209	33	مركبة	مركبة	NOUN
alkej-494	209	34	مع	مع	ADP
alkej-494	209	35	شرط	شرط	PROPN
alkej-494	209	36	الحدود	الحدود	NOUN
alkej-494	209	37	المرنة	المرنة	PROPN
alkej-494	209	38	العامة	العامة	PROPN
alkej-494	209	39	.	.	PUNCT
alkej-494	210	1	نبعاجالحر	نبعاجالحر	NOUN
alkej-494	210	2	في	في	SCONJ
alkej-494	210	3	ظل	ظل	PROPN
alkej-494	210	4	نسبة	نسبة	PROPN
alkej-494	210	5	درجة	درجة	PROPN
alkej-494	210	6	حرارة	حرارة	PROPN
alkej-494	210	7	االيتم	االيتم	PROPN
alkej-494	210	8	تطوير	تطوير	PROPN
alkej-494	210	9	سلوك	سلوك	PROPN
alkej-494	210	10	االهتزاز	االهتزاز	PROPN
alkej-494	210	11	ة	ة	ADP
alkej-494	210	12	بينما	بينما	PROPN
alkej-494	210	13	تتكون	تتكون	PROPN
alkej-494	211	1	وظائف	وظائف	PROPN
alkej-494	212	1	الحل	الحل	NOUN
alkej-494	213	1	من	من	INTJ
alkej-494	213	2	دالة	دالة	NOUN
alkej-494	213	3	مثلثية	مثلثية	X
alkej-494	213	4	ووظيفة	ووظيفة	ADJ
alkej-494	213	5	مستمرة	مستمرة	NOUN
alkej-494	213	6	تضاف	تضاف	NOUN
alkej-494	213	7	لضمان	لضمان	PROPN
alkej-494	213	8	سالسة	سالسة	PROPN
alkej-494	213	9	كافية	كافية	PROPN
alkej-494	213	10	لوظيفة	لوظيفة	PROPN
alkej-494	213	11	اإلزاحة	اإلزاحة	ADJ
alkej-494	213	12	المتبقي	المتبقي	NOUN
alkej-494	213	13	(	(	PUNCT
alkej-494	213	14	clpt	clpt	ADJ
alkej-494	213	15	)	)	PUNCT
alkej-494	213	16	على	على	NOUN
alkej-494	213	17	نظرية	نظرية	NOUN
alkej-494	213	18	األلواح	األلواح	NOUN
alkej-494	213	19	الرقائقي	الرقائقي	NOUN
alkej-494	213	20	الكالسيكية	الكالسيكية	NOUN
alkej-494	213	21	جنًبا	جنًبا	ADJ
alkej-494	213	22	إلى	إلى	NOUN
alkej-494	213	23	جنب	جنب	NOUN
alkej-494	213	24	مع	مع	INTJ
alkej-494	213	25	تقنية	تقنية	PROPN
alkej-494	213	26	ritzتم	ritzتم	VERB
alkej-494	213	27	تطوير	تطوير	PROPN
alkej-494	213	28	حل	حل	PROPN
alkej-494	213	29	إجراء	إجراء	PROPN
alkej-494	213	30	معمم	معمم	PROPN
alkej-494	213	31	باستخدام	باستخدام	NOUN
alkej-494	213	32	طريقة	طريقة	VERB
alkej-494	213	33	كما	كما	PROPN
alkej-494	213	34	المعدلة	المعدلة	PROPN
alkej-494	213	35	،	،	PROPN
alkej-494	213	36	fourierالمسماة	fourierالمسماة	VERB
alkej-494	213	37	على	على	PROPN
alkej-494	213	38	الحدود	الحدود	NOUN
alkej-494	213	39	،	،	NOUN
alkej-494	213	40	في	في	ADP
alkej-494	213	41	هذا	هذا	NOUN
alkej-494	213	42	البحث	البحث	PROPN
alkej-494	213	43	،	،	PROPN
alkej-494	213	44	تم	تم	NOUN
alkej-494	213	45	استخدام	استخدام	PROPN
alkej-494	213	46	سلسلة	سلسلة	PROPN
alkej-494	213	47	بقات	بقات	PROPN
alkej-494	213	48	،	،	PROPN
alkej-494	213	49	ونسبة	ونسبة	PROPN
alkej-494	213	50	الحمل	الحمل	PROPN
alkej-494	213	51	الحراري	الحراري	PROPN
alkej-494	213	52	األولي	األولي	PROPN
alkej-494	214	1	تحليل	تحليل	PROPN
alkej-494	214	2	تأثير	تأثير	VERB
alkej-494	215	1	العديد	العديد	VERB
alkej-494	216	1	من	من	INTJ
alkej-494	216	2	معامالت	معامالت	PROPN
alkej-494	217	1	التصميم	التصميم	PROPN
alkej-494	217	2	مثل	مثل	NOUN
alkej-494	217	3	نسبة	نسبة	NOUN
alkej-494	217	4	الُسمك	الُسمك	PROPN
alkej-494	217	5	،	،	PROPN
alkej-494	217	6	ونسبة	ونسبة	PROPN
alkej-494	217	7	العرض	العرض	NOUN
alkej-494	217	8	إلى	إلى	PROPN
alkej-494	217	9	االرتفاع	االرتفاع	PROPN
alkej-494	217	10	،	،	PROPN
alkej-494	217	11	وزوايا	وزوايا	PROPN
alkej-494	217	12	الطمع	الطمع	DET
alkej-494	217	13	التخيلية	التخيلية	PROPN
alkej-494	217	14	.	.	PUNCT
alkej-494	218	1	النابض	النابض	PROPN
alkej-494	218	2	مقارنة	مقارنة	PROPN
alkej-494	218	3	النتائج	النتائج	PROPN
alkej-494	218	4	الحالية	الحالية	ADP
alkej-494	218	5	مع	مع	PROPN
alkej-494	218	6	تلك	تلك	VERB
alkej-494	218	7	التي	التي	PROPN
alkej-494	218	8	حصلنا	حصلنا	PROPN
alkej-494	218	9	عليها	عليها	PROPN
alkej-494	219	1	من	من	ADP
alkej-494	219	2	قبل	قبل	PROPN
alkej-494	219	3	وتمتالظروف	وتمتالظروف	PROPN
alkej-494	219	4	الحدودية	الحدودية	PROPN
alkej-494	219	5	المختلفة	المختلفة	PROPN
alkej-494	219	6	،	،	PROPN
alkej-494	219	7	على	على	PROPN
alkej-494	219	8	الترددات	الترددات	PROPN
alkej-494	219	9	الطبيعية	الطبيعية	PROPN
alkej-494	219	10	للصفائح	للصفائح	NOUN
alkej-494	219	11	الرقائقي	الرقائقي	NOUN
alkej-494	219	12	.	.	PUNCT
alkej-494	220	1	فضال	فضال	PROPN
alkej-494	220	2	عنفي	عنفي	PROPN
alkej-494	220	3	المستوى	المستوى	PROPN
alkej-494	220	4	.اً	.اً	PROPN
alkej-494	220	5	جيد	جيد	PUNCT
alkej-494	220	6	ااتفاق	ااتفاق	PROPN
alkej-494	220	7	اعطتباحثين	اعطتباحثين	PROPN
alkej-494	220	8	آخرين	آخرين	PROPN
alkej-494	220	9	،	،	PROPN
alkej-494	221	1	و	و	PRON