id	sid	tid	token	lemma	pos
alkej-56	1	1	microsoft	microsoft	PROPN
alkej-56	1	2	word	word	NOUN
alkej-56	1	3	\337\307\344\355	\337\307\344\355	PUNCT
alkej-56	1	4	\346\307\310\312\345\307\34134	\346\307\310\312\345\307\34134	PROPN
alkej-56	1	5	-	-	PUNCT
alkej-56	1	6	44	44	NUM
alkej-56	1	7	)	)	PUNCT
alkej-56	1	8	vibration	vibration	NOUN
alkej-56	1	9	analysis	analysis	NOUN
alkej-56	1	10	of	of	ADP
alkej-56	1	11	cross	cross	ADJ
alkej-56	1	12	-	-	ADJ
alkej-56	1	13	ply	ply	ADJ
alkej-56	1	14	plates	plate	NOUN
alkej-56	1	15	under	under	ADP
alkej-56	1	16	initial	initial	ADJ
alkej-56	1	17	stress	stress	NOUN
alkej-56	1	18	using	use	VERB
alkej-56	1	19	refined	refined	ADJ
alkej-56	1	20	theory	theory	NOUN
alkej-56	1	21	ibtehal	ibtehal	PROPN
alkej-56	1	22	abbas	abbas	PROPN
alkej-56	1	23	sadiq	sadiq	PROPN
alkej-56	1	24	*	*	PROPN
alkej-56	1	25	kani	kani	PROPN
alkej-56	1	26	hussein	hussein	PROPN
alkej-56	1	27	bawa	bawa	PROPN
alkej-56	1	28	*	*	PUNCT
alkej-56	1	29	*	*	PUNCT
alkej-56	2	1	*	*	PUNCT
alkej-56	2	2	,	,	PUNCT
alkej-56	2	3	*	*	PUNCT
alkej-56	2	4	*	*	NOUN
alkej-56	2	5	department	department	NOUN
alkej-56	2	6	of	of	ADP
alkej-56	2	7	mechanical	mechanical	ADJ
alkej-56	2	8	engineering	engineering	NOUN
alkej-56	2	9	/	/	SYM
alkej-56	2	10	university	university	PROPN
alkej-56	2	11	of	of	ADP
alkej-56	2	12	baghdad	baghdad	PROPN
alkej-56	2	13	*	*	PUNCT
alkej-56	2	14	email:ebtialabas@yahoo.com	email:ebtialabas@yahoo.com	X
alkej-56	3	1	*	*	PUNCT
alkej-56	3	2	*	*	SYM
alkej-56	3	3	email:kanihussein1991@gmail.com	email:kanihussein1991@gmail.com	PROPN
alkej-56	3	4	(	(	PUNCT
alkej-56	3	5	received	receive	VERB
alkej-56	3	6	2	2	NUM
alkej-56	3	7	january	january	NOUN
alkej-56	3	8	2018	2018	NUM
alkej-56	3	9	;	;	PUNCT
alkej-56	3	10	accepted	accept	VERB
alkej-56	3	11	22	22	NUM
alkej-56	3	12	may	may	PROPN
alkej-56	3	13	2018	2018	NUM
alkej-56	3	14	)	)	PUNCT
alkej-56	3	15	https://doi.org/10.22153/kej.2018.05.002	https://doi.org/10.22153/kej.2018.05.002	X
alkej-56	3	16	abstract	abstract	ADJ
alkej-56	3	17	natural	natural	ADJ
alkej-56	3	18	frequency	frequency	NOUN
alkej-56	3	19	under	under	ADP
alkej-56	3	20	initial	initial	ADJ
alkej-56	3	21	stresses	stress	NOUN
alkej-56	3	22	for	for	ADP
alkej-56	3	23	simply	simply	ADV
alkej-56	3	24	supported	support	VERB
alkej-56	3	25	cross	cross	ADJ
alkej-56	3	26	-	-	ADJ
alkej-56	3	27	ply	ply	ADJ
alkej-56	3	28	composite	composite	ADJ
alkej-56	3	29	laminated	laminate	VERB
alkej-56	3	30	plates	plate	NOUN
alkej-56	3	31	(	(	PUNCT
alkej-56	3	32	e	e	NOUN
alkej-56	3	33	glassfiber	glassfiber	PROPN
alkej-56	3	34	)	)	PUNCT
alkej-56	3	35	are	be	AUX
alkej-56	3	36	obtained	obtain	VERB
alkej-56	3	37	using	use	VERB
alkej-56	3	38	refind	refind	NOUN
alkej-56	3	39	theory	theory	NOUN
alkej-56	3	40	(	(	PUNCT
alkej-56	3	41	rpt	rpt	NOUN
alkej-56	3	42	)	)	PUNCT
alkej-56	3	43	.	.	PUNCT
alkej-56	4	1	this	this	DET
alkej-56	4	2	theory	theory	NOUN
alkej-56	4	3	accounts	account	VERB
alkej-56	4	4	for	for	ADP
alkej-56	4	5	parabolic	parabolic	ADJ
alkej-56	4	6	distribution	distribution	NOUN
alkej-56	4	7	of	of	ADP
alkej-56	4	8	the	the	DET
alkej-56	4	9	transverse	transverse	ADJ
alkej-56	4	10	shear	shear	NOUN
alkej-56	4	11	strain	strain	VERB
alkej-56	4	12	through	through	ADP
alkej-56	4	13	the	the	DET
alkej-56	4	14	plate	plate	NOUN
alkej-56	4	15	thickness	thickness	NOUN
alkej-56	4	16	and	and	CCONJ
alkej-56	4	17	satisfies	satisfy	VERB
alkej-56	4	18	the	the	DET
alkej-56	4	19	zero	zero	NUM
alkej-56	4	20	traction	traction	NOUN
alkej-56	4	21	boundary	boundary	ADJ
alkej-56	4	22	conditions	condition	NOUN
alkej-56	4	23	on	on	ADP
alkej-56	4	24	the	the	DET
alkej-56	4	25	surfaces	surface	NOUN
alkej-56	4	26	of	of	ADP
alkej-56	4	27	the	the	DET
alkej-56	4	28	plate	plate	NOUN
alkej-56	4	29	without	without	ADP
alkej-56	4	30	using	use	VERB
alkej-56	4	31	shear	shear	NOUN
alkej-56	4	32	correction	correction	NOUN
alkej-56	4	33	factors	factor	NOUN
alkej-56	4	34	.	.	PUNCT
alkej-56	5	1	the	the	DET
alkej-56	5	2	governing	govern	VERB
alkej-56	5	3	equations	equation	NOUN
alkej-56	5	4	for	for	ADP
alkej-56	5	5	eigen	eigen	PROPN
alkej-56	5	6	value	value	NOUN
alkej-56	5	7	problem	problem	NOUN
alkej-56	5	8	under	under	ADP
alkej-56	5	9	initial	initial	ADJ
alkej-56	5	10	stress	stress	NOUN
alkej-56	5	11	are	be	AUX
alkej-56	5	12	derived	derive	VERB
alkej-56	5	13	using	use	VERB
alkej-56	5	14	hamilton	hamilton	PROPN
alkej-56	5	15	’s	’s	PART
alkej-56	5	16	principle	principle	NOUN
alkej-56	5	17	and	and	CCONJ
alkej-56	5	18	solved	solve	VERB
alkej-56	5	19	using	use	VERB
alkej-56	5	20	navier	navier	NOUN
alkej-56	5	21	solution	solution	NOUN
alkej-56	5	22	for	for	ADP
alkej-56	5	23	simply	simply	ADV
alkej-56	5	24	supported	support	VERB
alkej-56	5	25	cross	cross	ADJ
alkej-56	5	26	-	-	ADJ
alkej-56	5	27	ply	ply	ADJ
alkej-56	5	28	symmetric	symmetric	NOUN
alkej-56	5	29	and	and	CCONJ
alkej-56	5	30	antisymmetric	antisymmetric	ADJ
alkej-56	5	31	laminated	laminate	VERB
alkej-56	5	32	plates	plate	NOUN
alkej-56	5	33	.	.	PUNCT
alkej-56	6	1	the	the	DET
alkej-56	6	2	effect	effect	NOUN
alkej-56	6	3	of	of	ADP
alkej-56	6	4	many	many	ADJ
alkej-56	6	5	design	design	NOUN
alkej-56	6	6	factors	factor	NOUN
alkej-56	6	7	such	such	ADJ
alkej-56	6	8	as	as	ADP
alkej-56	6	9	modulus	modulus	ADJ
alkej-56	6	10	ratio	ratio	NOUN
alkej-56	6	11	,	,	PUNCT
alkej-56	6	12	thickness	thickness	NOUN
alkej-56	6	13	ratio	ratio	NOUN
alkej-56	6	14	and	and	CCONJ
alkej-56	6	15	number	number	NOUN
alkej-56	6	16	of	of	ADP
alkej-56	6	17	laminates	laminate	NOUN
alkej-56	6	18	on	on	ADP
alkej-56	6	19	the	the	DET
alkej-56	6	20	natural	natural	ADJ
alkej-56	6	21	frequency	frequency	NOUN
alkej-56	6	22	and	and	CCONJ
alkej-56	6	23	buckling	buckling	NOUN
alkej-56	6	24	stresses	stress	NOUN
alkej-56	6	25	of	of	ADP
alkej-56	6	26	orthotropic	orthotropic	ADJ
alkej-56	6	27	plates	plate	NOUN
alkej-56	6	28	are	be	AUX
alkej-56	6	29	studied	study	VERB
alkej-56	6	30	.	.	PUNCT
alkej-56	7	1	the	the	DET
alkej-56	7	2	results	result	NOUN
alkej-56	7	3	are	be	AUX
alkej-56	7	4	compared	compare	VERB
alkej-56	7	5	with	with	ADP
alkej-56	7	6	other	other	ADJ
alkej-56	7	7	researcher	researcher	NOUN
alkej-56	7	8	.	.	PUNCT
alkej-56	8	1	keyword	keyword	NOUN
alkej-56	8	2	:	:	PUNCT
alkej-56	8	3	composite	composite	ADJ
alkej-56	8	4	laminated	laminate	VERB
alkej-56	8	5	plate	plate	NOUN
alkej-56	8	6	,	,	PUNCT
alkej-56	8	7	buckling	buckle	VERB
alkej-56	8	8	analysis	analysis	NOUN
alkej-56	8	9	,	,	PUNCT
alkej-56	8	10	free	free	ADJ
alkej-56	8	11	vibration	vibration	NOUN
alkej-56	8	12	analysis	analysis	NOUN
alkej-56	8	13	,	,	PUNCT
alkej-56	8	14	refined	refined	ADJ
alkej-56	8	15	plate	plate	NOUN
alkej-56	8	16	theory	theory	NOUN
alkej-56	8	17	.	.	PUNCT
alkej-56	9	1	1	1	X
alkej-56	9	2	.	.	X
alkej-56	9	3	introduction	introduction	NOUN
alkej-56	9	4	laminated	laminate	VERB
alkej-56	9	5	composite	composite	ADJ
alkej-56	9	6	plates	plate	NOUN
alkej-56	9	7	have	have	VERB
alkej-56	9	8	very	very	ADJ
alkej-56	9	9	importance	importance	NOUN
alkej-56	9	10	in	in	ADP
alkej-56	9	11	the	the	DET
alkej-56	9	12	engineering	engineering	NOUN
alkej-56	9	13	applications	application	NOUN
alkej-56	9	14	because	because	SCONJ
alkej-56	9	15	of	of	ADP
alkej-56	9	16	their	their	PRON
alkej-56	9	17	useful	useful	ADJ
alkej-56	9	18	features	feature	NOUN
alkej-56	9	19	so	so	SCONJ
alkej-56	9	20	a	a	DET
alkej-56	9	21	many	many	ADJ
alkej-56	9	22	variety	variety	NOUN
alkej-56	9	23	of	of	ADP
alkej-56	9	24	laminated	laminate	VERB
alkej-56	9	25	theories	theory	NOUN
alkej-56	9	26	for	for	ADP
alkej-56	9	27	static	static	ADJ
alkej-56	9	28	and	and	CCONJ
alkej-56	9	29	dynamic	dynamic	ADJ
alkej-56	9	30	behavior	behavior	NOUN
alkej-56	9	31	have	have	AUX
alkej-56	9	32	been	be	AUX
alkej-56	9	33	developed	develop	VERB
alkej-56	9	34	such	such	ADJ
alkej-56	9	35	as	as	ADP
alkej-56	9	36	approximate	approximate	ADJ
alkej-56	9	37	,	,	PUNCT
alkej-56	9	38	experimental	experimental	ADJ
alkej-56	9	39	and	and	CCONJ
alkej-56	9	40	exact	exact	ADJ
alkej-56	9	41	methods	method	NOUN
alkej-56	9	42	.	.	PUNCT
alkej-56	10	1	[	[	X
alkej-56	10	2	1	1	X
alkej-56	10	3	]	]	PUNCT
alkej-56	10	4	presented	present	VERB
alkej-56	10	5	static	static	ADJ
alkej-56	10	6	analysis	analysis	NOUN
alkej-56	10	7	using	use	VERB
alkej-56	10	8	higher	high	ADJ
alkej-56	10	9	-	-	PUNCT
alkej-56	10	10	order	order	NOUN
alkej-56	10	11	refined	refined	ADJ
alkej-56	10	12	theory	theory	NOUN
alkej-56	10	13	of	of	ADP
alkej-56	10	14	angle	angle	NOUN
alkej-56	10	15	ply	ply	NOUN
alkej-56	10	16	plate	plate	NOUN
alkej-56	10	17	and	and	CCONJ
alkej-56	10	18	sandewich	sandewich	NOUN
alkej-56	10	19	plates	plate	NOUN
alkej-56	10	20	hitherto	hitherto	NOUN
alkej-56	10	21	.	.	PUNCT
alkej-56	11	1	no	no	DET
alkej-56	11	2	requirement	requirement	NOUN
alkej-56	11	3	to	to	PART
alkej-56	11	4	use	use	VERB
alkej-56	11	5	shear	shear	NOUN
alkej-56	11	6	correction	correction	NOUN
alkej-56	11	7	factors	factor	NOUN
alkej-56	11	8	(	(	PUNCT
alkej-56	11	9	scf	scf	PROPN
alkej-56	11	10	)	)	PUNCT
alkej-56	11	11	,	,	PUNCT
alkej-56	11	12	because	because	SCONJ
alkej-56	11	13	the	the	DET
alkej-56	11	14	transverseshear	transverseshear	NOUN
alkej-56	11	15	strains	strain	VERB
alkej-56	11	16	vary	vary	VERB
alkej-56	11	17	parabolicaly	parabolicaly	NOUN
alkej-56	11	18	from	from	ADP
alkej-56	11	19	side	side	NOUN
alkej-56	11	20	to	to	ADP
alkej-56	11	21	side	side	NOUN
alkej-56	11	22	which	which	PRON
alkej-56	11	23	lead	lead	VERB
alkej-56	11	24	to	to	PART
alkej-56	11	25	vanish	vanish	VERB
alkej-56	11	26	the	the	DET
alkej-56	11	27	shear	shear	NOUN
alkej-56	11	28	-	-	PUNCT
alkej-56	11	29	stresses	stress	NOUN
alkej-56	11	30	on	on	ADP
alkej-56	11	31	the	the	DET
alkej-56	11	32	upper	upper	ADJ
alkej-56	11	33	and	and	CCONJ
alkej-56	11	34	bottom	bottom	ADJ
alkej-56	11	35	surface	surface	NOUN
alkej-56	11	36	of	of	ADP
alkej-56	11	37	the	the	DET
alkej-56	11	38	plate	plate	NOUN
alkej-56	11	39	.	.	PUNCT
alkej-56	12	1	from	from	ADP
alkej-56	12	2	principle	principle	NOUN
alkej-56	12	3	of	of	ADP
alkej-56	12	4	potential	potential	ADJ
alkej-56	12	5	energy	energy	NOUN
alkej-56	12	6	,	,	PUNCT
alkej-56	12	7	the	the	DET
alkej-56	12	8	equations	equation	NOUN
alkej-56	12	9	of	of	ADP
alkej-56	12	10	equilibrium	equilibrium	NOUN
alkej-56	12	11	are	be	AUX
alkej-56	12	12	derived	derive	VERB
alkej-56	12	13	and	and	CCONJ
alkej-56	12	14	solved	solve	VERB
alkej-56	12	15	by	by	ADP
alkej-56	12	16	using	use	VERB
alkej-56	12	17	navier	navier	NOUN
alkej-56	12	18	-	-	PUNCT
alkej-56	12	19	type	type	NOUN
alkej-56	12	20	method	method	NOUN
alkej-56	12	21	.	.	PUNCT
alkej-56	13	1	correctness	correctness	NOUN
alkej-56	13	2	of	of	ADP
alkej-56	13	3	the	the	DET
alkej-56	13	4	theoretical	theoretical	ADJ
alkej-56	13	5	preparations	preparation	NOUN
alkej-56	13	6	and	and	CCONJ
alkej-56	13	7	the	the	DET
alkej-56	13	8	solution	solution	NOUN
alkej-56	13	9	method	method	NOUN
alkej-56	13	10	confirmed	confirm	VERB
alkej-56	13	11	by	by	ADP
alkej-56	13	12	comparing	compare	VERB
alkej-56	13	13	the	the	DET
alkej-56	13	14	results	result	NOUN
alkej-56	13	15	with	with	ADP
alkej-56	13	16	other	other	ADJ
alkej-56	13	17	theory	theory	NOUN
alkej-56	13	18	described	describe	VERB
alkej-56	13	19	in	in	ADP
alkej-56	13	20	the	the	DET
alkej-56	13	21	literature	literature	NOUN
alkej-56	13	22	.	.	PUNCT
alkej-56	14	1	[	[	X
alkej-56	14	2	2	2	X
alkej-56	14	3	]	]	PUNCT
alkej-56	14	4	presented	present	VERB
alkej-56	14	5	buckling	buckle	VERB
alkej-56	14	6	analysis	analysis	NOUN
alkej-56	14	7	of	of	ADP
alkej-56	14	8	ss	ss	PRON
alkej-56	14	9	plate	plate	NOUN
alkej-56	14	10	exposed	expose	VERB
alkej-56	14	11	to	to	ADP
alkej-56	14	12	in	in	ADP
alkej-56	14	13	-	-	PUNCT
alkej-56	14	14	plane	plane	NOUN
alkej-56	14	15	loading	loading	NOUN
alkej-56	14	16	using	use	VERB
alkej-56	14	17	refined	refined	ADJ
alkej-56	14	18	plate	plate	NOUN
alkej-56	14	19	theory	theory	NOUN
alkej-56	14	20	of	of	ADP
alkej-56	14	21	orthotropic	orthotropic	ADJ
alkej-56	14	22	and	and	CCONJ
alkej-56	14	23	isotropic	isotropic	ADJ
alkej-56	14	24	plates	plate	NOUN
alkej-56	14	25	.	.	PUNCT
alkej-56	15	1	the	the	DET
alkej-56	15	2	governing	govern	VERB
alkej-56	15	3	equations	equation	NOUN
alkej-56	15	4	g.e	g.e	X
alkej-56	15	5	which	which	PRON
alkej-56	15	6	derivative	derivative	NOUN
alkej-56	15	7	from	from	ADP
alkej-56	15	8	the	the	DET
alkej-56	15	9	principle	principle	NOUN
alkej-56	15	10	of	of	ADP
alkej-56	15	11	virtul	virtul	NOUN
alkej-56	15	12	-	-	PUNCT
alkej-56	15	13	displacements	displacement	NOUN
alkej-56	15	14	,	,	PUNCT
alkej-56	15	15	and	and	CCONJ
alkej-56	15	16	solved	solve	VERB
alkej-56	15	17	by	by	ADP
alkej-56	15	18	using	use	VERB
alkej-56	15	19	the	the	DET
alkej-56	15	20	navier	navier	NOUN
alkej-56	15	21	method	method	NOUN
alkej-56	15	22	.	.	PUNCT
alkej-56	16	1	this	this	DET
alkej-56	16	2	theory	theory	NOUN
alkej-56	16	3	is	be	AUX
alkej-56	16	4	simple	simple	ADJ
alkej-56	16	5	,	,	PUNCT
alkej-56	16	6	comparable	comparable	ADJ
alkej-56	16	7	to	to	ADP
alkej-56	16	8	the(fsdt	the(fsdt	NOUN
alkej-56	16	9	)	)	PUNCT
alkej-56	16	10	theory	theory	NOUN
alkej-56	16	11	and	and	CCONJ
alkej-56	16	12	there	there	PRON
alkej-56	16	13	no	no	PRON
alkej-56	16	14	exists	exist	VERB
alkej-56	16	15	a	a	DET
alkej-56	16	16	need	need	NOUN
alkej-56	16	17	for	for	ADP
alkej-56	16	18	using	use	VERB
alkej-56	16	19	scf	scf	PROPN
alkej-56	16	20	.	.	PUNCT
alkej-56	17	1	[	[	X
alkej-56	17	2	3	3	X
alkej-56	17	3	]	]	PUNCT
alkej-56	17	4	studied	study	VERB
alkej-56	17	5	a	a	DET
alkej-56	17	6	two	two	NUM
alkej-56	17	7	-	-	PUNCT
alkej-56	17	8	variable	variable	NOUN
alkej-56	17	9	refind	refind	NOUN
alkej-56	17	10	theory	theory	NOUN
alkej-56	17	11	(	(	PUNCT
alkej-56	17	12	rpt	rpt	NOUN
alkej-56	17	13	)	)	PUNCT
alkej-56	17	14	of	of	ADP
alkej-56	17	15	lamineted	laminete	VERB
alkej-56	17	16	composite	composite	ADJ
alkej-56	17	17	plates	plate	NOUN
alkej-56	17	18	.	.	PUNCT
alkej-56	18	1	the	the	DET
alkej-56	18	2	theory	theory	NOUN
alkej-56	18	3	contents	content	VERB
alkej-56	18	4	the	the	DET
alkej-56	18	5	zero	zero	NUM
alkej-56	18	6	traction	traction	PROPN
alkej-56	18	7	b.c	b.c	PROPN
alkej-56	18	8	on	on	ADP
alkej-56	18	9	the	the	DET
alkej-56	18	10	upper	upper	ADJ
alkej-56	18	11	and	and	CCONJ
alkej-56	18	12	bottom	bottom	ADJ
alkej-56	18	13	faces	face	NOUN
alkej-56	18	14	of	of	ADP
alkej-56	18	15	the	the	DET
alkej-56	18	16	plate	plate	NOUN
alkej-56	18	17	without	without	ADP
alkej-56	18	18	wanting	want	VERB
alkej-56	18	19	to	to	PART
alkej-56	18	20	use	use	VERB
alkej-56	18	21	scf	scf	PROPN
alkej-56	18	22	.	.	PUNCT
alkej-56	19	1	the	the	DET
alkej-56	19	2	equations	equation	NOUN
alkej-56	19	3	of	of	ADP
alkej-56	19	4	motion	motion	NOUN
alkej-56	19	5	are	be	AUX
alkej-56	19	6	derivative	derivative	ADJ
alkej-56	19	7	using	use	VERB
alkej-56	19	8	hamilton	hamilton	PROPN
alkej-56	19	9	’s	’s	PART
alkej-56	19	10	principle	principle	PROPN
alkej-56	19	11	(	(	PUNCT
alkej-56	19	12	h.p	h.p	PROPN
alkej-56	19	13	)	)	PUNCT
alkej-56	19	14	and	and	CCONJ
alkej-56	19	15	solved	solve	VERB
alkej-56	19	16	using	use	VERB
alkej-56	19	17	naveir	naveir	PRON
alkej-56	19	18	method	method	NOUN
alkej-56	19	19	of	of	ADP
alkej-56	19	20	angle	angle	NOUN
alkej-56	19	21	-	-	PUNCT
alkej-56	19	22	ply	ply	NOUN
alkej-56	19	23	and	and	CCONJ
alkej-56	19	24	cross	cross	ADJ
alkej-56	19	25	-	-	ADJ
alkej-56	19	26	ply	ply	ADJ
alkej-56	19	27	antisymmetric	antisymmetric	ADJ
alkej-56	19	28	laminate	laminate	NOUN
alkej-56	19	29	.	.	PUNCT
alkej-56	20	1	this	this	DET
alkej-56	20	2	theory	theory	NOUN
alkej-56	20	3	is	be	AUX
alkej-56	20	4	simple	simple	ADJ
alkej-56	20	5	and	and	CCONJ
alkej-56	20	6	accurate	accurate	ADJ
alkej-56	20	7	in	in	ADP
alkej-56	20	8	solving	solve	VERB
alkej-56	20	9	the	the	DET
alkej-56	20	10	buckling	buckle	VERB
alkej-56	20	11	behaviors	behavior	NOUN
alkej-56	20	12	and	and	CCONJ
alkej-56	20	13	static	static	ADJ
alkej-56	20	14	bending	bending	NOUN
alkej-56	20	15	of	of	ADP
alkej-56	20	16	laminated	laminated	ADJ
alkej-56	20	17	composite	composite	ADJ
alkej-56	20	18	plates	plate	NOUN
alkej-56	20	19	.	.	PUNCT
alkej-56	21	1	[	[	X
alkej-56	21	2	4	4	X
alkej-56	21	3	]	]	PUNCT
alkej-56	21	4	studied	study	VERB
alkej-56	21	5	free	free	ADJ
alkej-56	21	6	vibration	vibration	NOUN
alkej-56	21	7	of	of	ADP
alkej-56	21	8	laminated	laminated	ADJ
alkej-56	21	9	composite	composite	ADJ
alkej-56	21	10	plates	plate	NOUN
alkej-56	21	11	using	use	VERB
alkej-56	21	12	two	two	NUM
alkej-56	21	13	variable	variable	ADJ
alkej-56	21	14	refined	refined	ADJ
alkej-56	21	15	plate	plate	NOUN
alkej-56	21	16	theory	theory	NOUN
alkej-56	21	17	(	(	PUNCT
alkej-56	21	18	rpt	rpt	NOUN
alkej-56	21	19	)	)	PUNCT
alkej-56	21	20	and	and	CCONJ
alkej-56	21	21	using	use	VERB
alkej-56	21	22	hamilton	hamilton	PROPN
alkej-56	21	23	’s	’s	PART
alkej-56	21	24	principle	principle	NOUN
alkej-56	21	25	to	to	PART
alkej-56	21	26	derive	derive	VERB
alkej-56	21	27	the	the	DET
alkej-56	21	28	equations	equation	NOUN
alkej-56	21	29	of	of	ADP
alkej-56	21	30	motion	motion	NOUN
alkej-56	21	31	,	,	PUNCT
alkej-56	21	32	and	and	CCONJ
alkej-56	21	33	these	these	DET
alkej-56	21	34	equations	equation	NOUN
alkej-56	21	35	solved	solve	VERB
alkej-56	21	36	using	use	VERB
alkej-56	21	37	navier	navier	NOUN
alkej-56	21	38	solutions	solution	NOUN
alkej-56	21	39	of	of	ADP
alkej-56	21	40	cross	cross	ADJ
alkej-56	21	41	-	-	ADJ
alkej-56	21	42	ply	ply	ADJ
alkej-56	21	43	and	and	CCONJ
alkej-56	21	44	angle	angle	NOUN
alkej-56	21	45	-	-	PUNCT
alkej-56	21	46	ply	ply	NOUN
alkej-56	21	47	antisymmetric	antisymmetric	ADJ
alkej-56	21	48	laminates	laminate	NOUN
alkej-56	21	49	.	.	PUNCT
alkej-56	22	1	this	this	DET
alkej-56	22	2	theory	theory	NOUN
alkej-56	22	3	is	be	AUX
alkej-56	22	4	accurate	accurate	ADJ
alkej-56	22	5	and	and	CCONJ
alkej-56	22	6	effective	effective	ADJ
alkej-56	22	7	in	in	ADP
alkej-56	22	8	obtain	obtain	VERB
alkej-56	22	9	the	the	DET
alkej-56	22	10	natural	natural	ADJ
alkej-56	22	11	frequencies	frequency	NOUN
alkej-56	22	12	n.f	n.f	X
alkej-56	22	13	of	of	ADP
alkej-56	22	14	laminated	laminated	ADJ
alkej-56	22	15	composite	composite	ADJ
alkej-56	22	16	plates	plate	NOUN
alkej-56	22	17	.	.	PUNCT
alkej-56	23	1	[	[	X
alkej-56	23	2	5	5	NUM
alkej-56	23	3	]	]	PUNCT
alkej-56	23	4	studied	study	VERB
alkej-56	23	5	the	the	DET
alkej-56	23	6	buckling	buckle	VERB
alkej-56	23	7	analysis	analysis	NOUN
alkej-56	23	8	using	use	VERB
alkej-56	23	9	refind	refind	NOUN
alkej-56	23	10	theory	theory	NOUN
alkej-56	23	11	for	for	ADP
alkej-56	23	12	orthotropic	orthotropic	ADJ
alkej-56	23	13	plates	plate	NOUN
alkej-56	23	14	.	.	PUNCT
alkej-56	24	1	no	no	DET
alkej-56	24	2	requirement	requirement	NOUN
alkej-56	24	3	to	to	PART
alkej-56	24	4	use	use	VERB
alkej-56	24	5	scf	scf	PROPN
alkej-56	24	6	in	in	ADP
alkej-56	24	7	this	this	DET
alkej-56	24	8	theory	theory	NOUN
alkej-56	24	9	and	and	CCONJ
alkej-56	24	10	the	the	DET
alkej-56	24	11	governing	govern	VERB
alkej-56	24	12	equations	equation	NOUN
alkej-56	24	13	solved	solve	VERB
alkej-56	24	14	al	al	PROPN
alkej-56	24	15	-	-	PUNCT
alkej-56	24	16	khwarizmi	khwarizmi	PROPN
alkej-56	24	17	engineering	engineering	PROPN
alkej-56	24	18	journal	journal	PROPN
alkej-56	24	19	al	al	PROPN
alkej-56	24	20	-	-	PUNCT
alkej-56	24	21	khwarizmi	khwarizmi	PROPN
alkej-56	24	22	engineering	engineering	NOUN
alkej-56	24	23	journal	journal	PROPN
alkej-56	24	24	,	,	PUNCT
alkej-56	24	25	vol	vol	NOUN
alkej-56	24	26	.	.	PROPN
alkej-56	24	27	14	14	NUM
alkej-56	24	28	,	,	PUNCT
alkej-56	24	29	no.4	no.4	PROPN
alkej-56	24	30	,	,	PUNCT
alkej-56	24	31	december	december	PROPN
alkej-56	24	32	,	,	PUNCT
alkej-56	24	33	(	(	PUNCT
alkej-56	24	34	2018	2018	NUM
alkej-56	24	35	)	)	PUNCT
alkej-56	24	36	p.p	p.p	PROPN
alkej-56	24	37	.	.	NOUN
alkej-56	24	38	3444	3444	NUM
alkej-56	24	39	ibtehal	ibtehal	PROPN
alkej-56	24	40	abbas	abbas	PROPN
alkej-56	24	41	sadiq	sadiq	PROPN
alkej-56	24	42	al	al	PROPN
alkej-56	24	43	-	-	PUNCT
alkej-56	24	44	khwarizmi	khwarizmi	PROPN
alkej-56	24	45	engineering	engineering	NOUN
alkej-56	24	46	journal	journal	PROPN
alkej-56	24	47	,	,	PUNCT
alkej-56	24	48	vol	vol	NOUN
alkej-56	24	49	.	.	PROPN
alkej-56	25	1	14	14	NUM
alkej-56	25	2	,	,	PUNCT
alkej-56	25	3	no	no	INTJ
alkej-56	25	4	.	.	NOUN
alkej-56	25	5	4	4	NUM
alkej-56	25	6	,	,	PUNCT
alkej-56	25	7	p.p	p.p	PROPN
alkej-56	25	8	.	.	NOUN
alkej-56	25	9	3444	3444	NUM
alkej-56	25	10	(	(	PUNCT
alkej-56	25	11	2018	2018	NUM
alkej-56	25	12	)	)	PUNCT
alkej-56	25	13	35	35	NUM
alkej-56	25	14	using	use	VERB
alkej-56	25	15	levy	levy	NOUN
alkej-56	25	16	-	-	PUNCT
alkej-56	25	17	type	type	NOUN
alkej-56	25	18	method	method	NOUN
alkej-56	25	19	.	.	PUNCT
alkej-56	26	1	it	it	PRON
alkej-56	26	2	considering	consider	VERB
alkej-56	26	3	the	the	DET
alkej-56	26	4	effect	effect	NOUN
alkej-56	26	5	of	of	ADP
alkej-56	26	6	some	some	DET
alkej-56	26	7	design	design	NOUN
alkej-56	26	8	limitations	limitation	NOUN
alkej-56	26	9	such	such	ADJ
alkej-56	26	10	as	as	ADP
alkej-56	26	11	boundary	boundary	ADJ
alkej-56	26	12	conditions	condition	NOUN
alkej-56	26	13	,	,	PUNCT
alkej-56	26	14	orthotropy	orthotropy	VERB
alkej-56	26	15	ratio	ratio	NOUN
alkej-56	26	16	,	,	PUNCT
alkej-56	26	17	thickness	thickness	NOUN
alkej-56	26	18	ratio	ratio	NOUN
alkej-56	26	19	and	and	CCONJ
alkej-56	26	20	loading	loading	NOUN
alkej-56	26	21	condition	condition	NOUN
alkej-56	26	22	on	on	ADP
alkej-56	26	23	the	the	DET
alkej-56	26	24	critical	critical	ADJ
alkej-56	26	25	-	-	PUNCT
alkej-56	26	26	buckling	buckle	VERB
alkej-56	26	27	load	load	NOUN
alkej-56	26	28	.	.	PUNCT
alkej-56	27	1	[	[	X
alkej-56	27	2	6	6	NUM
alkej-56	27	3	]	]	PUNCT
alkej-56	27	4	presented	present	VERB
alkej-56	27	5	free	free	ADJ
alkej-56	27	6	-	-	PUNCT
alkej-56	27	7	vibration	vibration	NOUN
alkej-56	27	8	investigation	investigation	NOUN
alkej-56	27	9	of	of	ADP
alkej-56	27	10	functionaly	functionaly	PROPN
alkej-56	27	11	arranged	arrange	VERB
alkej-56	27	12	material	material	NOUN
alkej-56	27	13	(	(	PUNCT
alkej-56	27	14	fgm	fgm	PROPN
alkej-56	27	15	)	)	PUNCT
alkej-56	27	16	sandwich	sandwich	NOUN
alkej-56	27	17	rectangular	rectangular	ADJ
alkej-56	27	18	plates	plate	NOUN
alkej-56	27	19	by	by	ADP
alkej-56	27	20	the	the	DET
alkej-56	27	21	four	four	NUM
alkej-56	27	22	variable	variable	ADJ
alkej-56	27	23	refined	refined	ADJ
alkej-56	27	24	theory	theory	NOUN
alkej-56	27	25	(	(	PUNCT
alkej-56	27	26	rpt	rpt	PROPN
alkej-56	27	27	)	)	PUNCT
alkej-56	27	28	which	which	PRON
alkej-56	27	29	not	not	PART
alkej-56	27	30	requirement	requirement	NOUN
alkej-56	27	31	to	to	PART
alkej-56	27	32	use	use	VERB
alkej-56	27	33	scf	scf	PROPN
alkej-56	27	34	.	.	PUNCT
alkej-56	28	1	the	the	DET
alkej-56	28	2	equation	equation	NOUN
alkej-56	28	3	of	of	ADP
alkej-56	28	4	motion	motion	NOUN
alkej-56	28	5	achieved	achieve	VERB
alkej-56	28	6	using	use	VERB
alkej-56	28	7	hamilton	hamilton	PROPN
alkej-56	28	8	’s	’s	PART
alkej-56	28	9	principle	principle	NOUN
alkej-56	28	10	for	for	ADP
alkej-56	28	11	the	the	DET
alkej-56	28	12	(	(	PUNCT
alkej-56	28	13	fgm	fgm	PROPN
alkej-56	28	14	)	)	PUNCT
alkej-56	28	15	sandwich	sandwich	NOUN
alkej-56	28	16	plates	plate	NOUN
alkej-56	28	17	and	and	CCONJ
alkej-56	28	18	these	these	DET
alkej-56	28	19	equations	equation	NOUN
alkej-56	28	20	solved	solve	VERB
alkej-56	28	21	by	by	ADP
alkej-56	28	22	using	use	VERB
alkej-56	28	23	the	the	DET
alkej-56	28	24	navier	navier	NOUN
alkej-56	28	25	type	type	NOUN
alkej-56	28	26	.	.	PUNCT
alkej-56	29	1	this	this	DET
alkej-56	29	2	theory	theory	NOUN
alkej-56	29	3	simple	simple	ADJ
alkej-56	29	4	and	and	CCONJ
alkej-56	29	5	accurate	accurate	ADJ
alkej-56	29	6	in	in	ADP
alkej-56	29	7	resolving	resolve	VERB
alkej-56	29	8	the	the	DET
alkej-56	29	9	freevibration	freevibration	NOUN
alkej-56	29	10	behavior	behavior	NOUN
alkej-56	29	11	of	of	ADP
alkej-56	29	12	the	the	DET
alkej-56	29	13	functionaly	functionaly	PROPN
alkej-56	29	14	arranged	arrange	VERB
alkej-56	29	15	material	material	NOUN
alkej-56	29	16	sandwich	sandwich	NOUN
alkej-56	29	17	plates	plate	NOUN
alkej-56	29	18	when	when	SCONJ
alkej-56	29	19	its	its	PRON
alkej-56	29	20	results	result	NOUN
alkej-56	29	21	comparing	compare	VERB
alkej-56	29	22	with	with	ADP
alkej-56	29	23	other	other	ADJ
alkej-56	29	24	theories	theory	NOUN
alkej-56	29	25	such	such	ADJ
alkej-56	29	26	as	as	ADP
alkej-56	29	27	classical	classical	ADJ
alkej-56	29	28	laminated	laminate	VERB
alkej-56	29	29	theory(clp	theory(clp	NOUN
alkej-56	29	30	)	)	PUNCT
alkej-56	29	31	,	,	PUNCT
alkej-56	29	32	first	first	ADJ
alkej-56	29	33	order	order	NOUN
alkej-56	29	34	theory	theory	NOUN
alkej-56	29	35	(	(	PUNCT
alkej-56	29	36	fsdt	fsdt	NOUN
alkej-56	29	37	)	)	PUNCT
alkej-56	29	38	.	.	PUNCT
alkej-56	30	1	[	[	X
alkej-56	30	2	7	7	X
alkej-56	30	3	]	]	PUNCT
alkej-56	30	4	presented	present	VERB
alkej-56	30	5	free	free	ADJ
alkej-56	30	6	vibration	vibration	NOUN
alkej-56	30	7	analysis	analysis	NOUN
alkej-56	30	8	of	of	ADP
alkej-56	30	9	simply	simply	ADV
alkej-56	30	10	supported	support	VERB
alkej-56	30	11	plate	plate	NOUN
alkej-56	30	12	which	which	PRON
alkej-56	30	13	made	make	VERB
alkej-56	30	14	of	of	ADP
alkej-56	30	15	functionaly	functionaly	NOUN
alkej-56	30	16	arranged	arrange	VERB
alkej-56	30	17	materials	material	NOUN
alkej-56	30	18	using	use	VERB
alkej-56	30	19	four	four	NUM
alkej-56	30	20	variable	variable	ADJ
alkej-56	30	21	refind	refind	NOUN
alkej-56	30	22	theory	theory	NOUN
alkej-56	30	23	.	.	PUNCT
alkej-56	31	1	no	no	DET
alkej-56	31	2	requirement	requirement	NOUN
alkej-56	31	3	to	to	PART
alkej-56	31	4	use	use	VERB
alkej-56	31	5	shear	shear	NOUN
alkej-56	31	6	correction	correction	NOUN
alkej-56	31	7	factors	factor	NOUN
alkej-56	31	8	,	,	PUNCT
alkej-56	31	9	because	because	SCONJ
alkej-56	31	10	the	the	DET
alkej-56	31	11	transverse	transverse	ADJ
alkej-56	31	12	-	-	PUNCT
alkej-56	31	13	shear	shear	NOUN
alkej-56	31	14	strains	strain	NOUN
alkej-56	31	15	vary	vary	VERB
alkej-56	31	16	parabolicaly	parabolicaly	NOUN
alkej-56	31	17	from	from	ADP
alkej-56	31	18	side	side	NOUN
alkej-56	31	19	to	to	PART
alkej-56	31	20	side	side	VERB
alkej-56	31	21	the	the	DET
alkej-56	31	22	thickness	thickness	NOUN
alkej-56	31	23	which	which	PRON
alkej-56	31	24	lead	lead	VERB
alkej-56	31	25	to	to	PART
alkej-56	31	26	disappear	disappear	VERB
alkej-56	31	27	the	the	DET
alkej-56	31	28	shear	shear	NOUN
alkej-56	31	29	stresses	stress	NOUN
alkej-56	31	30	on	on	ADP
alkej-56	31	31	the	the	DET
alkej-56	31	32	upper	upper	ADJ
alkej-56	31	33	and	and	CCONJ
alkej-56	31	34	bottom	bottom	ADJ
alkej-56	31	35	faces	face	NOUN
alkej-56	31	36	of	of	ADP
alkej-56	31	37	the	the	DET
alkej-56	31	38	plate	plate	NOUN
alkej-56	31	39	.	.	PUNCT
alkej-56	32	1	from	from	ADP
alkej-56	32	2	the	the	DET
alkej-56	32	3	principle	principle	NOUN
alkej-56	32	4	of	of	ADP
alkej-56	32	5	virtual	virtual	ADJ
alkej-56	32	6	displacements	displacement	NOUN
alkej-56	32	7	,	,	PUNCT
alkej-56	32	8	the	the	DET
alkej-56	32	9	governing	govern	VERB
alkej-56	32	10	equations	equation	NOUN
alkej-56	32	11	for	for	ADP
alkej-56	32	12	the	the	DET
alkej-56	32	13	(	(	PUNCT
alkej-56	32	14	fgm	fgm	PROPN
alkej-56	32	15	)	)	PUNCT
alkej-56	32	16	rectangular	rectangular	ADJ
alkej-56	32	17	plates	plate	NOUN
alkej-56	32	18	are	be	AUX
alkej-56	32	19	derived	derive	VERB
alkej-56	32	20	and	and	CCONJ
alkej-56	32	21	solved	solve	VERB
alkej-56	32	22	by	by	ADP
alkej-56	32	23	using	use	VERB
alkej-56	32	24	navier	navier	NOUN
alkej-56	32	25	-	-	PUNCT
alkej-56	32	26	type	type	NOUN
alkej-56	32	27	method	method	NOUN
alkej-56	32	28	.	.	PUNCT
alkej-56	33	1	the	the	DET
alkej-56	33	2	natural	natural	ADJ
alkej-56	33	3	frequencies	frequency	NOUN
alkej-56	33	4	are	be	AUX
alkej-56	33	5	found	find	VERB
alkej-56	33	6	using	use	VERB
alkej-56	33	7	the	the	DET
alkej-56	33	8	ritz	ritz	PROPN
alkej-56	33	9	method	method	NOUN
alkej-56	33	10	in	in	ADP
alkej-56	33	11	the	the	DET
alkej-56	33	12	case	case	NOUN
alkej-56	33	13	of	of	ADP
alkej-56	33	14	fg	fg	PROPN
alkej-56	33	15	clamped	clamp	VERB
alkej-56	33	16	plates	plate	NOUN
alkej-56	33	17	.	.	PUNCT
alkej-56	34	1	the	the	DET
alkej-56	34	2	strength	strength	NOUN
alkej-56	34	3	of	of	ADP
alkej-56	34	4	this	this	DET
alkej-56	34	5	present	present	ADJ
alkej-56	34	6	theory	theory	NOUN
alkej-56	34	7	which	which	PRON
alkej-56	34	8	gave	give	VERB
alkej-56	34	9	accurate	accurate	ADJ
alkej-56	34	10	free	free	ADJ
alkej-56	34	11	vibration	vibration	NOUN
alkej-56	34	12	of	of	ADP
alkej-56	34	13	fg	fg	PROPN
alkej-56	34	14	plate	plate	NOUN
alkej-56	34	15	shown	show	VERB
alkej-56	34	16	by	by	ADP
alkej-56	34	17	comparing	compare	VERB
alkej-56	34	18	the	the	DET
alkej-56	34	19	present	present	ADJ
alkej-56	34	20	results	result	NOUN
alkej-56	34	21	with	with	ADP
alkej-56	34	22	others	other	NOUN
alkej-56	34	23	theories	theory	NOUN
alkej-56	34	24	and	and	CCONJ
alkej-56	34	25	also	also	ADV
alkej-56	34	26	the	the	DET
alkej-56	34	27	influence	influence	NOUN
alkej-56	34	28	of	of	ADP
alkej-56	34	29	vying	vie	VERB
alkej-56	34	30	rises	rise	NOUN
alkej-56	34	31	,	,	PUNCT
alkej-56	34	32	aspect	aspect	NOUN
alkej-56	34	33	ratios	ratio	NOUN
alkej-56	34	34	,	,	PUNCT
alkej-56	34	35	and	and	CCONJ
alkej-56	34	36	thick	thick	ADJ
alkej-56	34	37	ratio	ratio	NOUN
alkej-56	34	38	on	on	ADP
alkej-56	34	39	the	the	DET
alkej-56	34	40	freevibration	freevibration	NOUN
alkej-56	34	41	of	of	ADP
alkej-56	34	42	the	the	DET
alkej-56	34	43	fg	fg	PROPN
alkej-56	34	44	plates	plate	NOUN
alkej-56	34	45	is	be	AUX
alkej-56	34	46	showed	show	VERB
alkej-56	34	47	.	.	PUNCT
alkej-56	35	1	[	[	X
alkej-56	35	2	8	8	NUM
alkej-56	35	3	]	]	PUNCT
alkej-56	35	4	presented	present	VERB
alkej-56	35	5	free	free	ADJ
alkej-56	35	6	vibration	vibration	NOUN
alkej-56	35	7	analysis	analysis	NOUN
alkej-56	35	8	of	of	ADP
alkej-56	35	9	rectangular	rectangular	ADJ
alkej-56	35	10	plate	plate	NOUN
alkej-56	35	11	with	with	ADP
alkej-56	35	12	two	two	NUM
alkej-56	35	13	opposite	opposite	ADJ
alkej-56	35	14	edges	edge	NOUN
alkej-56	35	15	simply	simply	ADV
alkej-56	35	16	supported	support	VERB
alkej-56	35	17	(	(	PUNCT
alkej-56	35	18	ss	ss	NOUN
alkej-56	35	19	)	)	PUNCT
alkej-56	35	20	and	and	CCONJ
alkej-56	35	21	the	the	DET
alkej-56	35	22	other	other	ADJ
alkej-56	35	23	two	two	NUM
alkej-56	35	24	edges	edge	NOUN
alkej-56	35	25	having	have	VERB
alkej-56	35	26	arbitrary	arbitrary	ADJ
alkej-56	35	27	boundary	boundary	ADJ
alkej-56	35	28	conditions	condition	NOUN
alkej-56	35	29	using	use	VERB
alkej-56	35	30	'	'	PUNCT
alkej-56	35	31	refined	refined	ADJ
alkej-56	35	32	plate	plate	NOUN
alkej-56	35	33	theory	theory	NOUN
alkej-56	35	34	'	'	PUNCT
alkej-56	35	35	.	.	PUNCT
alkej-56	36	1	from	from	ADP
alkej-56	36	2	the	the	DET
alkej-56	36	3	principle	principle	NOUN
alkej-56	36	4	of	of	ADP
alkej-56	36	5	virtual	virtual	ADJ
alkej-56	36	6	displacements	displacement	NOUN
alkej-56	36	7	,	,	PUNCT
alkej-56	36	8	the	the	DET
alkej-56	36	9	governing	govern	VERB
alkej-56	36	10	equations	equation	NOUN
alkej-56	36	11	are	be	AUX
alkej-56	36	12	derived	derive	VERB
alkej-56	36	13	and	and	CCONJ
alkej-56	36	14	solved	solve	VERB
alkej-56	36	15	by	by	ADP
alkej-56	36	16	using	use	VERB
alkej-56	36	17	the	the	DET
alkej-56	36	18	levy	levy	NOUN
alkej-56	36	19	-	-	PUNCT
alkej-56	36	20	type	type	NOUN
alkej-56	36	21	method	method	NOUN
alkej-56	36	22	.	.	PUNCT
alkej-56	37	1	no	no	DET
alkej-56	37	2	need	need	NOUN
alkej-56	37	3	to	to	PART
alkej-56	37	4	use	use	VERB
alkej-56	37	5	shear	shear	NOUN
alkej-56	37	6	correction	correction	NOUN
alkej-56	37	7	factors	factor	NOUN
alkej-56	37	8	in	in	ADP
alkej-56	37	9	this	this	DET
alkej-56	37	10	theory	theory	NOUN
alkej-56	37	11	,	,	PUNCT
alkej-56	37	12	it	it	PRON
alkej-56	37	13	considering	consider	VERB
alkej-56	37	14	the	the	DET
alkej-56	37	15	effect	effect	NOUN
alkej-56	37	16	of	of	ADP
alkej-56	37	17	some	some	DET
alkej-56	37	18	design	design	NOUN
alkej-56	37	19	parameters	parameter	NOUN
alkej-56	37	20	such	such	ADJ
alkej-56	37	21	as	as	ADP
alkej-56	37	22	boundary	boundary	ADJ
alkej-56	37	23	conditions	condition	NOUN
alkej-56	37	24	,	,	PUNCT
alkej-56	37	25	modulus	modulus	NOUN
alkej-56	37	26	ratio	ratio	NOUN
alkej-56	37	27	,	,	PUNCT
alkej-56	37	28	and	and	CCONJ
alkej-56	37	29	aspect	aspect	VERB
alkej-56	37	30	ratio	ratio	NOUN
alkej-56	37	31	on	on	ADP
alkej-56	37	32	the	the	DET
alkej-56	37	33	natural	natural	ADJ
alkej-56	37	34	frequency	frequency	NOUN
alkej-56	37	35	.	.	PUNCT
alkej-56	38	1	in	in	ADP
alkej-56	38	2	present	present	ADJ
alkej-56	38	3	work	work	NOUN
alkej-56	38	4	,	,	PUNCT
alkej-56	38	5	the	the	DET
alkej-56	38	6	equation	equation	NOUN
alkej-56	38	7	of	of	ADP
alkej-56	38	8	motion	motion	NOUN
alkej-56	38	9	of	of	ADP
alkej-56	38	10	refined	refined	ADJ
alkej-56	38	11	plate	plate	NOUN
alkej-56	38	12	theory	theory	NOUN
alkej-56	38	13	are	be	AUX
alkej-56	38	14	programming	program	VERB
alkej-56	38	15	to	to	PART
alkej-56	38	16	find	find	VERB
alkej-56	38	17	the	the	DET
alkej-56	38	18	critical	critical	ADJ
alkej-56	38	19	buckling	buckling	NOUN
alkej-56	38	20	and	and	CCONJ
alkej-56	38	21	fundamental	fundamental	ADJ
alkej-56	38	22	natural	natural	ADJ
alkej-56	38	23	frequency	frequency	NOUN
alkej-56	38	24	for	for	ADP
alkej-56	38	25	cross	cross	ADJ
alkej-56	38	26	-	-	ADJ
alkej-56	38	27	ply	ply	ADJ
alkej-56	38	28	plate	plate	NOUN
alkej-56	38	29	for	for	ADP
alkej-56	38	30	different	different	ADJ
alkej-56	38	31	thickness	thickness	NOUN
alkej-56	38	32	ratio	ratio	NOUN
alkej-56	38	33	,	,	PUNCT
alkej-56	38	34	symmetric	symmetric	ADJ
alkej-56	38	35	and	and	CCONJ
alkej-56	38	36	antisymmetric	antisymmetric	ADJ
alkej-56	38	37	and	and	CCONJ
alkej-56	38	38	orthotropy	orthotropy	VERB
alkej-56	38	39	ratio	ratio	NOUN
alkej-56	38	40	,	,	PUNCT
alkej-56	38	41	while	while	SCONJ
alkej-56	38	42	to	to	PART
alkej-56	38	43	obtain	obtain	VERB
alkej-56	38	44	vibration	vibration	NOUN
alkej-56	38	45	characteristic	characteristic	NOUN
alkej-56	38	46	of	of	ADP
alkej-56	38	47	plate	plate	NOUN
alkej-56	38	48	under	under	ADP
alkej-56	38	49	initial	initial	ADJ
alkej-56	38	50	stress	stress	NOUN
alkej-56	38	51	,	,	PUNCT
alkej-56	38	52	we	we	PRON
alkej-56	38	53	derive	derive	VERB
alkej-56	38	54	equation	equation	NOUN
alkej-56	38	55	of	of	ADP
alkej-56	38	56	motion	motion	NOUN
alkej-56	38	57	depending	depend	VERB
alkej-56	38	58	on	on	ADP
alkej-56	38	59	refined	refined	ADJ
alkej-56	38	60	plate	plate	NOUN
alkej-56	38	61	theory	theory	NOUN
alkej-56	38	62	for	for	ADP
alkej-56	38	63	simply	simply	ADV
alkej-56	38	64	supported	support	VERB
alkej-56	38	65	plates	plate	NOUN
alkej-56	38	66	using	use	VERB
alkej-56	38	67	navier	navier	NOUN
alkej-56	38	68	solution	solution	NOUN
alkej-56	38	69	.	.	PUNCT
alkej-56	39	1	2	2	X
alkej-56	39	2	.	.	X
alkej-56	39	3	theoretical	theoretical	ADJ
alkej-56	39	4	analysis	analysis	NOUN
alkej-56	39	5	2.1	2.1	NUM
alkej-56	39	6	displacement	displacement	ADJ
alkej-56	39	7	field	field	NOUN
alkej-56	39	8	in	in	ADP
alkej-56	39	9	present	present	ADJ
alkej-56	39	10	work	work	NOUN
alkej-56	39	11	,	,	PUNCT
alkej-56	39	12	a	a	DET
alkej-56	39	13	rectangular	rectangular	ADJ
alkej-56	39	14	plate	plate	NOUN
alkej-56	39	15	of	of	ADP
alkej-56	39	16	total	total	ADJ
alkej-56	39	17	thickness	thickness	NOUN
alkej-56	39	18	(	(	PUNCT
alkej-56	39	19	h	h	NOUN
alkej-56	39	20	)	)	PUNCT
alkej-56	39	21	of	of	ADP
alkej-56	39	22	(	(	PUNCT
alkej-56	39	23	n	n	CCONJ
alkej-56	39	24	)	)	PUNCT
alkej-56	39	25	orthotropic	orthotropic	ADJ
alkej-56	39	26	layers	layer	NOUN
alkej-56	39	27	with	with	ADP
alkej-56	39	28	the	the	DET
alkej-56	39	29	coordinate	coordinate	NOUN
alkej-56	39	30	system	system	NOUN
alkej-56	39	31	as	as	SCONJ
alkej-56	39	32	shown	show	VERB
alkej-56	39	33	in	in	ADP
alkej-56	39	34	fig	fig	NOUN
alkej-56	39	35	(	(	PUNCT
alkej-56	39	36	1	1	X
alkej-56	39	37	)	)	PUNCT
alkej-56	39	38	are	be	AUX
alkej-56	39	39	considered	consider	VERB
alkej-56	39	40	the	the	DET
alkej-56	39	41	displacement	displacement	NOUN
alkej-56	39	42	of	of	ADP
alkej-56	39	43	refined	refined	ADJ
alkej-56	39	44	plate	plate	NOUN
alkej-56	39	45	theory	theory	NOUN
alkej-56	39	46	(	(	PUNCT
alkej-56	39	47	rpt	rpt	PROPN
alkej-56	39	48	)	)	PUNCT
alkej-56	39	49	which	which	PRON
alkej-56	39	50	satisfies	satisfy	VERB
alkej-56	39	51	equilibrium	equilibrium	NOUN
alkej-56	39	52	conditions	condition	NOUN
alkej-56	39	53	at	at	ADP
alkej-56	39	54	the	the	DET
alkej-56	39	55	top	top	ADJ
alkej-56	39	56	and	and	CCONJ
alkej-56	39	57	bottom	bottom	ADJ
alkej-56	39	58	faces	face	NOUN
alkej-56	39	59	of	of	ADP
alkej-56	39	60	the	the	DET
alkej-56	39	61	plate	plate	NOUN
alkej-56	39	62	without	without	ADP
alkej-56	39	63	using	use	VERB
alkej-56	39	64	shear	shear	NOUN
alkej-56	39	65	correction	correction	NOUN
alkej-56	39	66	factor	factor	NOUN
alkej-56	39	67	is	be	AUX
alkej-56	39	68	developed	develop	VERB
alkej-56	39	69	.	.	PUNCT
alkej-56	40	1	the	the	DET
alkej-56	40	2	transverse	transverse	ADJ
alkej-56	40	3	displacement	displacement	NOUN
alkej-56	40	4	w	w	NOUN
alkej-56	40	5	contains	contain	VERB
alkej-56	40	6	three	three	NUM
alkej-56	40	7	components	component	NOUN
alkej-56	40	8	;	;	PUNCT
alkej-56	40	9	bending	bend	VERB
alkej-56	40	10	�	�	PROPN
alkej-56	40	11	�	�	PROPN
alkej-56	40	12	�	�	PROPN
alkej-56	40	13	,	,	PUNCT
alkej-56	40	14	extension	extension	NOUN
alkej-56	40	15	�	�	PROPN
alkej-56	40	16	�	�	PROPN
alkej-56	40	17	and	and	CCONJ
alkej-56	40	18	shear	shear	PROPN
alkej-56	40	19	�	�	PROPN
alkej-56	40	20	�	�	PROPN
alkej-56	40	21	�	�	PROPN
alkej-56	40	22	which	which	PRON
alkej-56	40	23	these	these	DET
alkej-56	40	24	components	component	NOUN
alkej-56	40	25	are	be	AUX
alkej-56	40	26	functions	function	NOUN
alkej-56	40	27	of	of	ADP
alkej-56	40	28	coordinates	coordinate	NOUN
alkej-56	40	29	x	x	SYM
alkej-56	40	30	,	,	PUNCT
alkej-56	40	31	y	y	PROPN
alkej-56	40	32	,	,	PUNCT
alkej-56	40	33	and	and	CCONJ
alkej-56	40	34	time	time	NOUN
alkej-56	40	35	t	t	X
alkej-56	40	36	only	only	ADV
alkej-56	40	37	.	.	PUNCT
alkej-56	41	1	similarly	similarly	ADV
alkej-56	41	2	,	,	PUNCT
alkej-56	41	3	the	the	DET
alkej-56	41	4	displacements	displacement	NOUN
alkej-56	41	5	u	u	NOUN
alkej-56	41	6	in	in	ADP
alkej-56	41	7	x	x	NOUN
alkej-56	41	8	-	-	NOUN
alkej-56	41	9	direction	direction	NOUN
alkej-56	41	10	and	and	CCONJ
alkej-56	41	11	v	v	NOUN
alkej-56	41	12	in	in	ADP
alkej-56	41	13	y	y	NOUN
alkej-56	41	14	-	-	PUNCT
alkej-56	41	15	direction	direction	NOUN
alkej-56	41	16	have	have	AUX
alkej-56	41	17	bending	bend	VERB
alkej-56	41	18	,	,	PUNCT
alkej-56	41	19	extension	extension	NOUN
alkej-56	41	20	and	and	CCONJ
alkej-56	41	21	shear	shear	NOUN
alkej-56	41	22	components	component	NOUN
alkej-56	42	1	[	[	X
alkej-56	42	2	3	3	NUM
alkej-56	42	3	]	]	PUNCT
alkej-56	42	4	.	.	PUNCT
alkej-56	43	1	u=	u=	PROPN
alkej-56	43	2	+	+	CCONJ
alkej-56	43	3	�	�	PROPN
alkej-56	43	4	�	�	PROPN
alkej-56	43	5	+	+	SYM
alkej-56	43	6	�	�	PROPN
alkej-56	43	7	�	�	PROPN
alkej-56	43	8	v=	v=	PROPN
alkej-56	43	9	�	�	PROPN
alkej-56	43	10	+	+	CCONJ
alkej-56	43	11	�	�	PROPN
alkej-56	43	12	�	�	PROPN
alkej-56	43	13	�	�	PROPN
alkej-56	43	14	+	+	CCONJ
alkej-56	43	15	�	�	PROPN
alkej-56	43	16	�	�	PROPN
alkej-56	43	17	�	�	PROPN
alkej-56	43	18	w	w	PROPN
alkej-56	43	19	�	�	PROPN
alkej-56	43	20	x‚y‚z‚t	x‚y‚z‚t	NOUN
alkej-56	43	21	�	�	PROPN
alkej-56	43	22	=	=	SYM
alkej-56	43	23	w	w	PROPN
alkej-56	43	24	�	�	PROPN
alkej-56	43	25	�	�	PROPN
alkej-56	43	26	x‚y‚t	x‚y‚t	PROPN
alkej-56	43	27	�	�	PROPN
alkej-56	43	28	+	+	CCONJ
alkej-56	43	29	w	w	PROPN
alkej-56	43	30	�	�	PROPN
alkej-56	43	31	�	�	PROPN
alkej-56	43	32	�	�	PROPN
alkej-56	43	33	x‚y‚t	x‚y‚t	PROPN
alkej-56	43	34	�	�	PROPN
alkej-56	43	35	+	+	CCONJ
alkej-56	43	36	w	w	PROPN
alkej-56	43	37	�	�	PROPN
alkej-56	43	38	�	�	PROPN
alkej-56	43	39	�	�	PROPN
alkej-56	43	40	x‚y‚t	x‚y‚t	PROPN
alkej-56	43	41	�	�	PROPN
alkej-56	43	42	the	the	DET
alkej-56	43	43	shear	shear	NOUN
alkej-56	43	44	components	components	PROPN
alkej-56	43	45	�	�	PROPN
alkej-56	43	46	�	�	PROPN
alkej-56	43	47	and	and	CCONJ
alkej-56	43	48	�	�	PROPN
alkej-56	43	49	�	�	PROPN
alkej-56	43	50	�	�	PROPN
alkej-56	43	51	,	,	PUNCT
alkej-56	43	52	�	�	PROPN
alkej-56	43	53	�	�	PROPN
alkej-56	43	54	�	�	PROPN
alkej-56	43	55	lead	lead	VERB
alkej-56	43	56	to	to	ADP
alkej-56	43	57	the	the	DET
alkej-56	43	58	parabolic	parabolic	ADJ
alkej-56	43	59	variations	variation	NOUN
alkej-56	43	60	of	of	ADP
alkej-56	43	61	shear	shear	NOUN
alkej-56	43	62	strains	strain	VERB
alkej-56	43	63	�	�	PROPN
alkej-56	43	64	!	!	PUNCT
alkej-56	43	65	,	,	PUNCT
alkej-56	43	66	�	�	PROPN
alkej-56	43	67	"	"	PUNCT
alkej-56	43	68	!	!	PUNCT
alkej-56	44	1	and	and	CCONJ
alkej-56	44	2	to	to	ADP
alkej-56	44	3	shear	shear	NOUN
alkej-56	44	4	stresses	stress	VERB
alkej-56	44	5	#	#	NOUN
alkej-56	44	6	!	!	PUNCT
alkej-56	45	1	,	,	PUNCT
alkej-56	45	2	#	#	NOUN
alkej-56	45	3	"	"	PUNCT
alkej-56	45	4	!	!	PUNCT
alkej-56	46	1	through	through	ADP
alkej-56	46	2	the	the	DET
alkej-56	46	3	thickness	thickness	NOUN
alkej-56	46	4	of	of	ADP
alkej-56	46	5	the	the	DET
alkej-56	46	6	plate	plate	NOUN
alkej-56	46	7	in	in	ADP
alkej-56	46	8	such	such	DET
alkej-56	46	9	a	a	DET
alkej-56	46	10	way	way	NOUN
alkej-56	46	11	that	that	PRON
alkej-56	46	12	shear	shear	NOUN
alkej-56	46	13	stresses	stress	VERB
alkej-56	46	14	#	#	NOUN
alkej-56	46	15	!	!	PUNCT
alkej-56	46	16	,	,	PUNCT
alkej-56	46	17	#	#	NOUN
alkej-56	46	18	"	"	PUNCT
alkej-56	46	19	!	!	PUNCT
alkej-56	46	20	are	be	AUX
alkej-56	46	21	zero	zero	NUM
alkej-56	46	22	at	at	ADP
alkej-56	46	23	the	the	DET
alkej-56	46	24	bottom	bottom	NOUN
alkej-56	46	25	and	and	CCONJ
alkej-56	46	26	top	top	ADJ
alkej-56	46	27	surfaces	surface	NOUN
alkej-56	46	28	of	of	ADP
alkej-56	46	29	the	the	DET
alkej-56	46	30	plate	plate	NOUN
alkej-56	46	31	.	.	PUNCT
alkej-56	47	1	�	�	PROPN
alkej-56	47	2	�	�	PROPN
alkej-56	47	3	=	=	SYM
alkej-56	47	4	$	$	SYM
alkej-56	47	5	%	%	NOUN
alkej-56	47	6	&	&	CCONJ
alkej-56	47	7	'	'	PUNCT
alkej-56	47	8	−	−	PROPN
alkej-56	47	9	)	)	PUNCT
alkej-56	47	10	*	*	PUNCT
alkej-56	48	1	+	+	ADJ
alkej-56	48	2	!	!	NOUN
alkej-56	48	3	�	�	PROPN
alkej-56	48	4	,	,	PUNCT
alkej-56	48	5	-	-	PUNCT
alkej-56	48	6	.	.	PUNCT
alkej-56	48	7	/012/	/012/	PUNCT
alkej-56	49	1	�	�	PROPN
alkej-56	49	2	�	�	PROPN
alkej-56	49	3	�	�	PROPN
alkej-56	49	4	=	=	SYM
alkej-56	49	5	$	$	SYM
alkej-56	49	6	%	%	NOUN
alkej-56	49	7	&	&	CCONJ
alkej-56	49	8	'	'	PUNCT
alkej-56	49	9	−	−	PROPN
alkej-56	49	10	)	)	PUNCT
alkej-56	50	1	*	*	PUNCT
alkej-56	51	1	+	+	ADJ
alkej-56	51	2	!	!	NOUN
alkej-56	51	3	�	�	PROPN
alkej-56	51	4	,	,	PUNCT
alkej-56	51	5	-	-	PUNCT
alkej-56	51	6	.	.	PUNCT
alkej-56	51	7	/012/	/012/	PUNCT
alkej-56	51	8	"	"	PUNCT
alkej-56	52	1	the	the	DET
alkej-56	52	2	following	follow	VERB
alkej-56	52	3	displacement	displacement	ADJ
alkej-56	52	4	field	field	NOUN
alkej-56	52	5	assumptions	assumption	NOUN
alkej-56	52	6	[	[	X
alkej-56	52	7	3	3	NUM
alkej-56	52	8	]	]	X
alkej-56	52	9	:	:	PUNCT
alkej-56	52	10	3	3	NUM
alkej-56	52	11	�	�	PROPN
alkej-56	52	12	4‚5‚$‚6	4‚5‚$‚6	NOUN
alkej-56	52	13	�	�	PROPN
alkej-56	52	14	=	=	SYM
alkej-56	52	15	u	u	NOUN
alkej-56	52	16	�	�	PROPN
alkej-56	52	17	x‚y‚t	x‚y‚t	PROPN
alkej-56	52	18	�	�	PROPN
alkej-56	52	19	−	−	PROPN
alkej-56	52	20	z	z	NOUN
alkej-56	52	21	+89:;8	+89:;8	NOUN
alkej-56	52	22	<	<	X
alkej-56	52	23	,	,	PUNCT
alkej-56	52	24	+	+	CCONJ
alkej-56	52	25	z	z	NOUN
alkej-56	52	26	%	%	NOUN
alkej-56	52	27	&	&	CCONJ
alkej-56	52	28	'	'	PUNCT
alkej-56	52	29	−	−	PROPN
alkej-56	52	30	)	)	PUNCT
alkej-56	52	31	*	*	PUNCT
alkej-56	53	1	+	+	PUNCT
alkej-56	53	2	=	=	ADJ
alkej-56	53	3	�	�	PROPN
alkej-56	53	4	,	,	PUNCT
alkej-56	53	5	-	-	PUNCT
alkej-56	53	6	.	.	PUNCT
alkej-56	54	1	89>?8	89>?8	NUM
alkej-56	54	2	<	<	X
alkej-56	54	3	@	@	ADP
alkej-56	54	4	�	�	PROPN
alkej-56	54	5	4‚5‚$‚6	4‚5‚$‚6	NOUN
alkej-56	54	6	�	�	PROPN
alkej-56	54	7	=	=	PUNCT
alkej-56	54	8	v	v	PROPN
alkej-56	54	9	�	�	PROPN
alkej-56	54	10	x‚y‚t	x‚y‚t	PROPN
alkej-56	54	11	�	�	PROPN
alkej-56	54	12	−	−	PROPN
alkej-56	54	13	z	z	NOUN
alkej-56	54	14	+89:;8b	+89:;8b	PROPN
alkej-56	54	15	,	,	PUNCT
alkej-56	54	16	+	+	CCONJ
alkej-56	54	17	z	z	NOUN
alkej-56	54	18	%	%	NOUN
alkej-56	54	19	&	&	CCONJ
alkej-56	54	20	'	'	PUNCT
alkej-56	54	21	−	−	PROPN
alkej-56	54	22	)	)	PUNCT
alkej-56	54	23	*	*	PUNCT
alkej-56	55	1	+	+	PUNCT
alkej-56	55	2	=	=	ADJ
alkej-56	55	3	�	�	PROPN
alkej-56	55	4	,	,	PUNCT
alkej-56	55	5	-	-	PUNCT
alkej-56	55	6	.	.	PUNCT
alkej-56	55	7	89>?8b	89>?8b	NUM
alkej-56	55	8	c	c	X
alkej-56	55	9	�	�	PROPN
alkej-56	55	10	4‚5‚$‚6	4‚5‚$‚6	NOUN
alkej-56	55	11	�	�	PROPN
alkej-56	55	12	=	=	SYM
alkej-56	55	13	�	�	PROPN
alkej-56	55	14	�	�	PROPN
alkej-56	55	15	�	�	PROPN
alkej-56	55	16	4‚5‚6	4‚5‚6	ADJ
alkej-56	55	17	�	�	PROPN
alkej-56	55	18	+	+	SYM
alkej-56	55	19	�	�	PROPN
alkej-56	55	20	�	�	PROPN
alkej-56	55	21	�	�	PROPN
alkej-56	55	22	�	�	PROPN
alkej-56	55	23	4‚5‚6	4‚5‚6	PROPN
alkej-56	55	24	�	�	PROPN
alkej-56	55	25	+	+	PROPN
alkej-56	55	26	�	�	PROPN
alkej-56	55	27	�	�	PROPN
alkej-56	55	28	�	�	PROPN
alkej-56	55	29	�	�	PROPN
alkej-56	55	30	4‚5‚6	4‚5‚6	NOUN
alkej-56	55	31	�	�	NOUN
alkej-56	55	32	…	…	PUNCT
alkej-56	55	33	(	(	PUNCT
alkej-56	55	34	1	1	NUM
alkej-56	55	35	)	)	PUNCT
alkej-56	55	36	for	for	ADP
alkej-56	55	37	small	small	ADJ
alkej-56	55	38	strain	strain	NOUN
alkej-56	55	39	,	,	PUNCT
alkej-56	55	40	the	the	DET
alkej-56	55	41	strain	strain	NOUN
alkej-56	55	42	-	-	PUNCT
alkej-56	55	43	displacement	displacement	NOUN
alkej-56	55	44	relations	relation	NOUN
alkej-56	55	45	take	take	VERB
alkej-56	55	46	the	the	DET
alkej-56	55	47	form	form	NOUN
alkej-56	55	48	:	:	PUNCT
alkej-56	56	1	d	d	X
alkej-56	56	2	=	=	PUNCT
alkej-56	56	3	/e/	/e/	PUNCT
alkej-56	57	1	d	d	X
alkej-56	57	2	"	"	PUNCT
alkej-56	57	3	=	=	SYM
alkej-56	57	4	/f/	/f/	ADJ
alkej-56	57	5	"	"	PUNCT
alkej-56	57	6	d	d	NOUN
alkej-56	57	7	"	"	PUNCT
alkej-56	57	8	=	=	SYM
alkej-56	57	9	&	&	CCONJ
alkej-56	57	10	+	+	NOUN
alkej-56	57	11	/e/	/e/	X
alkej-56	57	12	"	"	PUNCT
alkej-56	57	13	+	+	CCONJ
alkej-56	57	14	/f/	/f/	NOUN
alkej-56	57	15	,	,	PUNCT
alkej-56	57	16	=	=	SYM
alkej-56	57	17	&	&	CCONJ
alkej-56	57	18	�	�	PROPN
alkej-56	57	19	"	"	PUNCT
alkej-56	57	20	d	d	NOUN
alkej-56	57	21	!	!	PUNCT
alkej-56	58	1	=	=	PUNCT
alkej-56	58	2	&	&	CCONJ
alkej-56	58	3	+	+	NOUN
alkej-56	58	4	/e/	/e/	PUNCT
alkej-56	58	5	!	!	PUNCT
alkej-56	59	1	+	+	CCONJ
alkej-56	59	2	/0/	/0/	X
alkej-56	59	3	,	,	PUNCT
alkej-56	59	4	=	=	PROPN
alkej-56	59	5	&	&	CCONJ
alkej-56	59	6	�	�	PROPN
alkej-56	59	7	!	!	PUNCT
alkej-56	60	1	d	d	X
alkej-56	60	2	"	"	PUNCT
alkej-56	60	3	!	!	PUNCT
alkej-56	61	1	=	=	PUNCT
alkej-56	61	2	&	&	CCONJ
alkej-56	61	3	+	+	NOUN
alkej-56	61	4	/f/	/f/	PROPN
alkej-56	61	5	!	!	PUNCT
alkej-56	62	1	+	+	PUNCT
alkej-56	62	2	/0/	/0/	ADP
alkej-56	62	3	"	"	PUNCT
alkej-56	62	4	,	,	PUNCT
alkej-56	62	5	=	=	PROPN
alkej-56	62	6	&	&	CCONJ
alkej-56	62	7	�	�	PROPN
alkej-56	62	8	"	"	PUNCT
alkej-56	62	9	!	!	PUNCT
alkej-56	63	1	…	…	PUNCT
alkej-56	63	2	(	(	PUNCT
alkej-56	63	3	2	2	NUM
alkej-56	63	4	)	)	PUNCT
alkej-56	63	5	by	by	ADP
alkej-56	63	6	substituting	substitute	VERB
alkej-56	63	7	eq	eq	ADP
alkej-56	63	8	.	.	PUNCT
alkej-56	64	1	(	(	PUNCT
alkej-56	64	2	1	1	X
alkej-56	64	3	)	)	PUNCT
alkej-56	64	4	into	into	ADP
alkej-56	64	5	eq	eq	NOUN
alkej-56	64	6	.	.	PUNCT
alkej-56	65	1	(	(	PUNCT
alkej-56	65	2	2	2	X
alkej-56	65	3	)	)	PUNCT
alkej-56	65	4	to	to	PART
alkej-56	65	5	give	give	VERB
alkej-56	65	6	:	:	PUNCT
alkej-56	65	7	d	d	X
alkej-56	65	8	=	=	PUNCT
alkej-56	65	9	/e/	/e/	PUNCT
alkej-56	66	1	−	−	PROPN
alkej-56	66	2	$	$	SYM
alkej-56	66	3	/g0hi/	/g0hi/	NOUN
alkej-56	67	1	g	g	NOUN
alkej-56	67	2	+	+	CCONJ
alkej-56	67	3	$	$	SYM
alkej-56	67	4	[	[	X
alkej-56	67	5	&	&	CCONJ
alkej-56	67	6	'	'	PUNCT
alkej-56	67	7	−	−	PROPN
alkej-56	67	8	)	)	PUNCT
alkej-56	67	9	*	*	PUNCT
alkej-56	68	1	+	+	ADJ
alkej-56	68	2	!	!	NOUN
alkej-56	68	3	�	�	PROPN
alkej-56	68	4	,	,	PUNCT
alkej-56	68	5	-	-	PUNCT
alkej-56	68	6	]	]	PUNCT
alkej-56	68	7	/g012/	/g012/	PUNCT
alkej-56	69	1	g	g	PROPN
alkej-56	69	2	d	d	NOUN
alkej-56	69	3	"	"	PUNCT
alkej-56	69	4	=	=	SYM
alkej-56	69	5	/f/	/f/	ADJ
alkej-56	69	6	"	"	PUNCT
alkej-56	69	7	−	−	PROPN
alkej-56	69	8	$	$	SYM
alkej-56	69	9	/g0hi/"g	/g0hi/"g	PUNCT
alkej-56	70	1	+	+	CCONJ
alkej-56	70	2	$	$	SYM
alkej-56	70	3	[	[	X
alkej-56	70	4	&	&	CCONJ
alkej-56	70	5	'	'	PUNCT
alkej-56	70	6	−	−	PROPN
alkej-56	70	7	)	)	PUNCT
alkej-56	71	1	*	*	PUNCT
alkej-56	72	1	+	+	ADJ
alkej-56	72	2	!	!	NOUN
alkej-56	72	3	�	�	PROPN
alkej-56	72	4	,	,	PUNCT
alkej-56	72	5	-	-	PUNCT
alkej-56	72	6	]	]	X
alkej-56	72	7	/g012/"g	/g012/"g	PUNCT
alkej-56	72	8	ibtehal	ibtehal	PROPN
alkej-56	72	9	abbas	abbas	PROPN
alkej-56	72	10	sadiq	sadiq	PROPN
alkej-56	72	11	al	al	PROPN
alkej-56	72	12	-	-	PUNCT
alkej-56	72	13	khwarizmi	khwarizmi	PROPN
alkej-56	72	14	engineering	engineering	NOUN
alkej-56	72	15	journal	journal	PROPN
alkej-56	72	16	,	,	PUNCT
alkej-56	72	17	vol	vol	NOUN
alkej-56	72	18	.	.	PROPN
alkej-56	72	19	14	14	NUM
alkej-56	72	20	,	,	PUNCT
alkej-56	72	21	no	no	INTJ
alkej-56	72	22	.	.	NOUN
alkej-56	72	23	4	4	NUM
alkej-56	72	24	,	,	PUNCT
alkej-56	72	25	p.p	p.p	PROPN
alkej-56	72	26	.	.	NOUN
alkej-56	72	27	3444	3444	NUM
alkej-56	72	28	(	(	PUNCT
alkej-56	72	29	2018	2018	NUM
alkej-56	72	30	)	)	PUNCT
alkej-56	72	31	36	36	NUM
alkej-56	72	32	�	�	NOUN
alkej-56	72	33	"	"	PUNCT
alkej-56	72	34	=	=	SYM
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alkej-56	73	1	+	+	CCONJ
alkej-56	73	2	/f/	/f/	SYM
alkej-56	74	1	−	−	NUM
alkej-56	74	2	2	2	NUM
alkej-56	74	3	$	$	SYM
alkej-56	74	4	/g0hi/	/g0hi/	NOUN
alkej-56	74	5	/	/	PUNCT
alkej-56	74	6	"	"	PUNCT
alkej-56	74	7	+	+	CCONJ
alkej-56	74	8	2	2	NUM
alkej-56	74	9	$	$	SYM
alkej-56	74	10	[	[	X
alkej-56	74	11	&	&	CCONJ
alkej-56	74	12	'	'	PUNCT
alkej-56	74	13	−	−	NUM
alkej-56	74	14	)	)	PUNCT
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alkej-56	75	1	+	+	ADJ
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alkej-56	75	3	�	�	PROPN
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alkej-56	75	6	]	]	PUNCT
alkej-56	75	7	/g012/	/g012/	PUNCT
alkej-56	75	8	/	/	SYM
alkej-56	75	9	"	"	PUNCT
alkej-56	75	10	�	�	PROPN
alkej-56	75	11	"	"	PUNCT
alkej-56	75	12	!	!	PUNCT
alkej-56	75	13	=	=	PUNCT
alkej-56	76	1	/0m/	/0m/	X
alkej-56	76	2	"	"	PUNCT
alkej-56	77	1	+	+	CCONJ
alkej-56	77	2	[	[	X
alkej-56	77	3	)	)	PUNCT
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alkej-56	77	5	−	−	NUM
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alkej-56	77	10	g	g	NOUN
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alkej-56	77	13	"	"	PUNCT
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alkej-56	77	16	=	=	PUNCT
alkej-56	77	17	/0m/	/0m/	PUNCT
alkej-56	78	1	+	+	PUNCT
alkej-56	78	2	[	[	X
alkej-56	78	3	)	)	PUNCT
alkej-56	78	4	'	'	PUNCT
alkej-56	78	5	−	−	NUM
alkej-56	78	6	5	5	NUM
alkej-56	78	7	=	=	SYM
alkej-56	78	8	g	g	NOUN
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alkej-56	78	10	g	g	NOUN
alkej-56	78	11	]	]	PUNCT
alkej-56	78	12	/012/	/012/	PUNCT
alkej-56	78	13	"	"	PUNCT
alkej-56	78	14	…	…	PUNCT
alkej-56	78	15	(	(	PUNCT
alkej-56	78	16	3	3	X
alkej-56	78	17	)	)	PUNCT
alkej-56	78	18	the	the	DET
alkej-56	78	19	strain	strain	NOUN
alkej-56	78	20	field	field	NOUN
alkej-56	78	21	is	be	AUX
alkej-56	78	22	:	:	PUNCT
alkej-56	78	23	o	o	PROPN
alkej-56	78	24	d	d	X
alkej-56	78	25	d	d	X
alkej-56	78	26	"	"	PUNCT
alkej-56	78	27	�	�	INTJ
alkej-56	78	28	"	"	PUNCT
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alkej-56	78	37	"	"	PUNCT
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alkej-56	78	41	$	$	SYM
alkej-56	78	42	q	q	NOUN
alkej-56	78	43	t	t	PROPN
alkej-56	78	44	�	�	PROPN
alkej-56	78	45	t"	t"	PROPN
alkej-56	78	46	�	�	PROPN
alkej-56	78	47	t	t	PROPN
alkej-56	78	48	"	"	PUNCT
alkej-56	78	49	�	�	PROPN
alkej-56	78	50	s	s	PART
alkej-56	78	51	+	+	NUM
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alkej-56	78	53	q	q	PROPN
alkej-56	78	54	t	t	PROPN
alkej-56	78	55	�	�	PROPN
alkej-56	78	56	t"	t"	PROPN
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alkej-56	78	58	t	t	PROPN
alkej-56	78	59	"	"	PUNCT
alkej-56	78	60	�	�	PROPN
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alkej-56	78	64	!	!	PUNCT
alkej-56	78	65	�	�	PROPN
alkej-56	78	66	"	"	PUNCT
alkej-56	78	67	!	!	PUNCT
alkej-56	79	1	w	w	NOUN
alkej-56	79	2	=	=	SYM
alkej-56	79	3	x	x	X
alkej-56	79	4	�	�	PROPN
alkej-56	79	5	!	!	PUNCT
alkej-56	79	6	�	�	PROPN
alkej-56	79	7	�	�	PROPN
alkej-56	79	8	"	"	PUNCT
alkej-56	79	9	!	!	PUNCT
alkej-56	80	1	�	�	PROPN
alkej-56	80	2	y	y	PROPN
alkej-56	80	3	+	+	CCONJ
alkej-56	80	4	z	z	NOUN
alkej-56	80	5	x	x	SYM
alkej-56	80	6	�	�	PROPN
alkej-56	80	7	!	!	PUNCT
alkej-56	80	8	�	�	PROPN
alkej-56	80	9	�	�	PROPN
alkej-56	80	10	"	"	PUNCT
alkej-56	80	11	!	!	PUNCT
alkej-56	81	1	�	�	PROPN
alkej-56	81	2	y	y	PROPN
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alkej-56	81	4	(	(	PUNCT
alkej-56	81	5	4	4	NUM
alkej-56	81	6	)	)	PUNCT
alkej-56	82	1	where	where	SCONJ
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alkej-56	82	3	q	q	PROPN
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alkej-56	82	5	rd	rd	NOUN
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alkej-56	82	7	r	r	NOUN
alkej-56	82	8	�	�	NOUN
alkej-56	82	9	"	"	PUNCT
alkej-56	82	10	r	r	NOUN
alkej-56	82	11	s	s	NOUN
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alkej-56	82	14	⎪⎧	⎪⎧	NOUN
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alkej-56	83	3	/e/	/e/	VERB
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alkej-56	83	5	+	+	CCONJ
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alkej-56	83	9	q	q	PROPN
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alkej-56	83	16	�	�	PROPN
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alkej-56	83	18	=	=	PUNCT
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alkej-56	84	1	g−	g−	PROPN
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alkej-56	84	3	/g0hi/	/g0hi/	NOUN
alkej-56	84	4	/	/	SYM
alkej-56	84	5	"	"	PUNCT
alkej-56	84	6	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	84	7	⎪⎫	⎪⎫	NOUN
alkej-56	84	8	q	q	PROPN
alkej-56	84	9	t	t	PROPN
alkej-56	84	10	�	�	PROPN
alkej-56	84	11	t"	t"	PROPN
alkej-56	84	12	�	�	PROPN
alkej-56	84	13	t	t	PROPN
alkej-56	84	14	"	"	PUNCT
alkej-56	84	15	�	�	PROPN
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alkej-56	84	17	=	=	PUNCT
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alkej-56	84	20	−	−	PROPN
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alkej-56	85	1	g−	g−	PROPN
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alkej-56	85	4	/	/	SYM
alkej-56	85	5	"	"	PUNCT
alkej-56	85	6	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	85	7	⎪⎫	⎪⎫	NOUN
alkej-56	85	8	,	,	PUNCT
alkej-56	85	9	x	x	X
alkej-56	85	10	�	�	PROPN
alkej-56	85	11	!	!	PUNCT
alkej-56	85	12	�	�	PROPN
alkej-56	85	13	�	�	PROPN
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alkej-56	85	15	!	!	PUNCT
alkej-56	86	1	�	�	PROPN
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alkej-56	86	3	=	=	PROPN
alkej-56	86	4	q/0m/	q/0m/	NOUN
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alkej-56	86	6	"	"	PUNCT
alkej-56	86	7	s	s	PART
alkej-56	86	8	,	,	PUNCT
alkej-56	86	9	x	x	PROPN
alkej-56	86	10	�	�	PROPN
alkej-56	86	11	!	!	PUNCT
alkej-56	86	12	�	�	PROPN
alkej-56	86	13	�	�	PROPN
alkej-56	86	14	"	"	PUNCT
alkej-56	86	15	!	!	PUNCT
alkej-56	87	1	�	�	PROPN
alkej-56	87	2	y	y	PROPN
alkej-56	87	3	=	=	PUNCT
alkej-56	87	4	q/012/	q/012/	PROPN
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alkej-56	87	6	"	"	PUNCT
alkej-56	87	7	s	s	VERB
alkej-56	87	8	f=	f=	ADJ
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alkej-56	87	13	+	+	NUM
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alkej-56	87	15	*	*	PUNCT
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alkej-56	87	17	+	+	NOUN
alkej-56	87	18	!	!	X
alkej-56	87	19	�	�	PROPN
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alkej-56	87	21	‚	‚	NOUN
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alkej-56	87	23	=	=	SYM
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alkej-56	87	25	'	'	PUNCT
alkej-56	88	1	−	−	NOUN
alkej-56	88	2	5	5	NUM
alkej-56	88	3	+	+	NOUN
alkej-56	88	4	!	!	PUNCT
alkej-56	88	5	�	�	PROPN
alkej-56	88	6	,	,	PUNCT
alkej-56	88	7	…	…	PUNCT
alkej-56	88	8	(	(	PUNCT
alkej-56	88	9	5	5	X
alkej-56	88	10	)	)	PUNCT
alkej-56	88	11	fig	fig	NOUN
alkej-56	88	12	.	.	PUNCT
alkej-56	89	1	1	1	NUM
alkej-56	89	2	.	.	X
alkej-56	89	3	coordinate	coordinate	NOUN
alkej-56	89	4	system	system	NOUN
alkej-56	89	5	of	of	ADP
alkej-56	89	6	laminated	laminated	ADJ
alkej-56	89	7	plates	plate	NOUN
alkej-56	89	8	.	.	PUNCT
alkej-56	90	1	2.2	2.2	NUM
alkej-56	90	2	principle	principle	NOUN
alkej-56	90	3	of	of	ADP
alkej-56	90	4	virtual	virtual	ADJ
alkej-56	90	5	work	work	NOUN
alkej-56	90	6	using	use	VERB
alkej-56	90	7	hamilton	hamilton	PROPN
alkej-56	90	8	’s	’s	PART
alkej-56	90	9	principles	principle	NOUN
alkej-56	90	10	,	,	PUNCT
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alkej-56	90	12	equations	equation	NOUN
alkej-56	90	13	of	of	ADP
alkej-56	90	14	motion	motion	NOUN
alkej-56	90	15	of	of	ADP
alkej-56	90	16	the	the	DET
alkej-56	90	17	refined	refined	ADJ
alkej-56	90	18	plate	plate	NOUN
alkej-56	90	19	theory	theory	NOUN
alkej-56	90	20	will	will	AUX
alkej-56	90	21	be	be	AUX
alkej-56	90	22	derived	derive	VERB
alkej-56	90	23	.	.	PUNCT
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alkej-56	91	2	,	,	PUNCT
alkej-56	91	3	2004	2004	NUM
alkej-56	91	4	0	0	NUM
alkej-56	92	1	=	=	SYM
alkej-56	92	2	c	c	NOUN
alkej-56	92	3	�	�	PROPN
alkej-56	92	4	d3	d3	PROPN
alkej-56	92	5	+	+	CCONJ
alkej-56	92	6	d@	d@	PROPN
alkej-56	92	7	−	−	PROPN
alkej-56	92	8	de	de	X
alkej-56	92	9	�	�	PROPN
alkej-56	92	10	fr	fr	ADJ
alkej-56	92	11	g6	g6	PROPN
alkej-56	92	12	…	…	PUNCT
alkej-56	92	13	(	(	PUNCT
alkej-56	92	14	6	6	NUM
alkej-56	92	15	)	)	PUNCT
alkej-56	92	16	•	•	NOUN
alkej-56	92	17	the	the	DET
alkej-56	92	18	virtual	virtual	ADJ
alkej-56	92	19	strain	strain	NOUN
alkej-56	92	20	energy	energy	NOUN
alkej-56	92	21	d3	d3	PROPN
alkej-56	92	22	is	be	AUX
alkej-56	92	23	:	:	PUNCT
alkej-56	92	24	d3	d3	PROPN
alkej-56	92	25	=	=	PUNCT
alkej-56	93	1	[	[	X
alkej-56	93	2	c	c	X
alkej-56	93	3	+	+	NOUN
alkej-56	93	4	h	h	NOUN
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alkej-56	94	2	#	#	NOUN
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alkej-56	94	4	i	i	NOUN
alkej-56	94	5	+	+	CCONJ
alkej-56	94	6	σbdd"i	σbdd"i	NOUN
alkej-56	95	1	+	+	X
alkej-56	95	2	σ	σ	PROPN
alkej-56	95	3	<	<	X
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alkej-56	95	5	<	<	X
alkej-56	95	6	bl	bl	PROPN
alkej-56	95	7	+	+	NOUN
alkej-56	95	8	lmn2g2gσb	lmn2g2gσb	PROPN
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alkej-56	95	11	=	=	NOUN
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alkej-56	95	13	+	+	X
alkej-56	95	14	σ<=γ<=l	σ<=γ<=l	X
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alkej-56	95	16	∂x	∂x	PROPN
alkej-56	95	17	∂y	∂y	PROPN
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alkej-56	95	27	substituting	substitute	VERB
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alkej-56	96	1	(	(	PUNCT
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alkej-56	97	6	r	r	NOUN
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alkej-56	97	9	+	+	CCONJ
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alkej-56	97	11	<	<	X
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alkej-56	97	19	<	<	X
alkej-56	97	20	�	�	PROPN
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alkej-56	97	22	mb	mb	PROPN
alkej-56	97	23	�	�	PROPN
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alkej-56	97	25	�	�	PROPN
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alkej-56	97	29	b	b	X
alkej-56	97	30	�	�	X
alkej-56	97	31	dk	dk	PROPN
alkej-56	97	32	<	<	PROPN
alkej-56	97	33	b	b	X
alkej-56	97	34	�	�	PROPN
alkej-56	97	35	+	+	CCONJ
alkej-56	97	36	m<	m<	PROPN
alkej-56	97	37	�	�	NOUN
alkej-56	97	38	dk	dk	PROPN
alkej-56	97	39	<	<	X
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alkej-56	97	41	+	+	CCONJ
alkej-56	97	42	mb	mb	PROPN
alkej-56	97	43	�	�	PROPN
alkej-56	97	44	dkb	dkb	NOUN
alkej-56	97	45	�	�	PROPN
alkej-56	97	46	+	+	PROPN
alkej-56	97	47	m	m	PROPN
alkej-56	97	48	<	<	X
alkej-56	97	49	b	b	X
alkej-56	97	50	�	�	X
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alkej-56	97	52	<	<	PROPN
alkej-56	97	53	b	b	PROPN
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alkej-56	97	55	+	+	CCONJ
alkej-56	97	56	qb=	qb=	PROPN
alkej-56	97	57	�	�	PROPN
alkej-56	97	58	dγb=	dγb=	PROPN
alkej-56	97	59	�	�	PROPN
alkej-56	97	60	+	+	CCONJ
alkej-56	97	61	q<=	q<=	ADJ
alkej-56	97	62	�	�	PROPN
alkej-56	97	63	dγ<=	dγ<=	PROPN
alkej-56	97	64	�	�	PROPN
alkej-56	97	65	+	+	CCONJ
alkej-56	97	66	qb=	qb=	PROPN
alkej-56	97	67	�	�	PROPN
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alkej-56	97	70	+	+	NOUN
alkej-56	97	71	q<=	q<=	ADJ
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alkej-56	97	74	�	�	PROPN
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alkej-56	98	21	#	#	NOUN
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alkej-56	98	25	"	"	PUNCT
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alkej-56	98	38	‚	‚	NUM
alkej-56	98	39	#	#	NOUN
alkej-56	98	40	"	"	PUNCT
alkej-56	98	41	zg$!}~	zg$!}~	PROPN
alkej-56	98	42	�	�	PROPN
alkej-56	98	43	!}	!}	PROPN
alkej-56	98	44	�	�	PROPN
alkej-56	98	45	i	i	PROPN
alkej-56	98	46	�	�	PROPN
alkej-56	98	47	&	&	CCONJ
alkej-56	98	48	x	x	PROPN
alkej-56	98	49	�	�	PROPN
alkej-56	98	50	�	�	PROPN
alkej-56	98	51	‚	‚	NUM
alkej-56	98	52	�	�	PROPN
alkej-56	98	53	"	"	PUNCT
alkej-56	98	54	�	�	PROPN
alkej-56	98	55	‚	‚	NUM
alkej-56	98	56	�	�	PROPN
alkej-56	98	57	"	"	PUNCT
alkej-56	98	58	�	�	PROPN
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alkej-56	98	60	=	=	SYM
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alkej-56	98	65	#	#	NOUN
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alkej-56	98	67	‚	‚	NUM
alkej-56	98	68	#	#	NOUN
alkej-56	98	69	"	"	PUNCT
alkej-56	98	70	z$	z$	X
alkej-56	98	71	g$	g$	PROPN
alkej-56	98	72	�	�	PROPN
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alkej-56	98	74	�	�	PROPN
alkej-56	98	75	/=∑	/=∑	NOUN
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alkej-56	98	79	‚	‚	NOUN
alkej-56	98	80	#	#	NOUN
alkej-56	98	81	"	"	PUNCT
alkej-56	98	82	‚	‚	NUM
alkej-56	98	83	#	#	NOUN
alkej-56	98	84	"	"	PUNCT
alkej-56	98	85	z$	z$	X
alkej-56	98	86	g$!}~	g$!}~	SYM
alkej-56	98	87	�	�	PROPN
alkej-56	98	88	!}	!}	PROPN
alkej-56	98	89	�	�	PROPN
alkej-56	98	90	i	i	PROPN
alkej-56	98	91	�	�	PROPN
alkej-56	98	92	&	&	CCONJ
alkej-56	98	93	xm	xm	PROPN
alkej-56	98	94	<	<	PROPN
alkej-56	98	95	�	�	PROPN
alkej-56	98	96	‚	‚	PROPN
alkej-56	98	97	mb	mb	PROPN
alkej-56	98	98	�	�	PROPN
alkej-56	98	99	‚	‚	NOUN
alkej-56	98	100	m	m	PROPN
alkej-56	98	101	<	<	X
alkej-56	98	102	b	b	X
alkej-56	98	103	�	�	PROPN
alkej-56	98	104	z	z	PROPN
alkej-56	98	105	=	=	PUNCT
alkej-56	98	106	c	c	NOUN
alkej-56	98	107	xσ	xσ	ADP
alkej-56	98	108	<	<	X
alkej-56	98	109	‚	‚	PROPN
alkej-56	98	110	σb	σb	ADP
alkej-56	98	111	‚	‚	PROPN
alkej-56	98	112	σ	σ	PROPN
alkej-56	98	113	<	<	X
alkej-56	98	114	bzf	bzf	NOUN
alkej-56	98	115	dz	dz	PROPN
alkej-56	98	116	�	�	PROPN
alkej-56	98	117	/-n	/-n	PROPN
alkej-56	98	118	�	�	PROPN
alkej-56	98	119	/=∑	/=∑	PROPN
alkej-56	98	120	c	c	NOUN
alkej-56	98	121	xσ	xσ	ADP
alkej-56	98	122	<	<	X
alkej-56	98	123	‚	‚	PROPN
alkej-56	98	124	σb	σb	ADP
alkej-56	98	125	‚	‚	PROPN
alkej-56	98	126	σ	σ	PROPN
alkej-56	98	127	<	<	X
alkej-56	98	128	bzf	bzf	PROPN
alkej-56	98	129	dz=	dz=	PROPN
alkej-56	98	130	�	�	PROPN
alkej-56	98	131	~	~	SYM
alkej-56	98	132	�	�	PROPN
alkej-56	98	133	=	=	SYM
alkej-56	98	134	�	�	PROPN
alkej-56	98	135	�	�	PROPN
alkej-56	98	136	l	l	NOUN
alkej-56	98	137	�	�	PROPN
alkej-56	98	138	&	&	CCONJ
alkej-56	98	139	x	x	NOUN
alkej-56	98	140	�	�	PROPN
alkej-56	98	141	!	!	PUNCT
alkej-56	98	142	�	�	PROPN
alkej-56	98	143	‚	‚	NUM
alkej-56	98	144	�	�	PROPN
alkej-56	98	145	"	"	PUNCT
alkej-56	98	146	!	!	PUNCT
alkej-56	99	1	�	�	PROPN
alkej-56	99	2	‚	‚	PRON
alkej-56	99	3	�	�	PROPN
alkej-56	99	4	"	"	PUNCT
alkej-56	99	5	!	!	PUNCT
alkej-56	99	6	�	�	PROPN
alkej-56	99	7	‚	‚	PRON
alkej-56	99	8	�	�	PROPN
alkej-56	99	9	!	!	PUNCT
alkej-56	99	10	�	�	PROPN
alkej-56	99	11	z	z	PROPN
alkej-56	100	1	=	=	PUNCT
alkej-56	100	2	c	c	NOUN
alkej-56	100	3	x	x	NOUN
alkej-56	100	4	#	#	NOUN
alkej-56	100	5	!	!	PUNCT
alkej-56	101	1	‚	‚	NOUN
alkej-56	102	1	#	#	ADP
alkej-56	102	2	"	"	PUNCT
alkej-56	102	3	!	!	PUNCT
alkej-56	103	1	‚	‚	NOUN
alkej-56	103	2	z	z	NOUN
alkej-56	103	3	#	#	NOUN
alkej-56	103	4	!	!	PUNCT
alkej-56	104	1	‚	‚	NOUN
alkej-56	105	1	z#"!z	z#"!z	PROPN
alkej-56	105	2	g$	g$	PROPN
alkej-56	105	3	�	�	PROPN
alkej-56	105	4	/-n	/-n	PROPN
alkej-56	105	5	�	�	PROPN
alkej-56	105	6	/	/	SYM
alkej-56	105	7	=	=	PROPN
alkej-56	105	8	∑	∑	PROPN
alkej-56	105	9	c	c	NOUN
alkej-56	105	10	x	x	NOUN
alkej-56	105	11	#	#	NOUN
alkej-56	105	12	!	!	PUNCT
alkej-56	106	1	‚	‚	NOUN
alkej-56	107	1	#	#	ADP
alkej-56	107	2	"	"	PUNCT
alkej-56	107	3	!	!	PUNCT
alkej-56	108	1	‚	‚	NOUN
alkej-56	108	2	z	z	NOUN
alkej-56	108	3	#	#	NOUN
alkej-56	108	4	!	!	PUNCT
alkej-56	109	1	‚	‚	NOUN
alkej-56	109	2	z#"!z	z#"!z	PROPN
alkej-56	109	3	g$!}~	g$!}~	VERB
alkej-56	109	4	�	�	PROPN
alkej-56	109	5	!}	!}	PROPN
alkej-56	109	6	�	�	PROPN
alkej-56	109	7	i	i	PROPN
alkej-56	109	8	�	�	PROPN
alkej-56	109	9	&	&	CCONJ
alkej-56	109	10	…	…	PUNCT
alkej-56	109	11	�	�	PROPN
alkej-56	109	12	9	9	NUM
alkej-56	109	13	�	�	NOUN
alkej-56	109	14	the	the	DET
alkej-56	109	15	virtual	virtual	ADJ
alkej-56	109	16	strains	strain	NOUN
alkej-56	109	17	are	be	AUX
alkej-56	109	18	known	know	VERB
alkej-56	109	19	in	in	ADP
alkej-56	109	20	terms	term	NOUN
alkej-56	109	21	of	of	ADP
alkej-56	109	22	virtual	virtual	ADJ
alkej-56	109	23	displacement	displacement	NOUN
alkej-56	109	24	eq.(4	eq.(4	NOUN
alkej-56	109	25	)	)	PUNCT
alkej-56	109	26	and	and	CCONJ
alkej-56	109	27	then	then	ADV
alkej-56	109	28	substituting	substitute	VERB
alkej-56	109	29	the	the	DET
alkej-56	109	30	virtual	virtual	ADJ
alkej-56	109	31	strain	strain	NOUN
alkej-56	109	32	into	into	ADP
alkej-56	109	33	eq	eq	NOUN
alkej-56	109	34	.	.	PUNCT
alkej-56	110	1	(	(	PUNCT
alkej-56	110	2	8)	8)	NUM
alkej-56	110	3	and	and	CCONJ
alkej-56	110	4	integrating	integrating	NOUN
alkej-56	110	5	by	by	ADP
alkej-56	110	6	parts	part	NOUN
alkej-56	110	7	to	to	ADP
alkej-56	110	8	relative	relative	ADJ
alkej-56	110	9	virtual	virtual	ADJ
alkej-56	110	10	displacement	displacement	NOUN
alkej-56	110	11	(	(	PUNCT
alkej-56	110	12	d	d	NOUN
alkej-56	110	13	,	,	PUNCT
alkej-56	110	14	d	d	PROPN
alkej-56	110	15	�	�	PROPN
alkej-56	110	16	,	,	PUNCT
alkej-56	110	17	d	d	PROPN
alkej-56	110	18	�	�	PROPN
alkej-56	110	19	�	�	PROPN
alkej-56	110	20	‚	‚	NOUN
alkej-56	110	21	d	d	PROPN
alkej-56	110	22	�	�	PROPN
alkej-56	110	23	�	�	PROPN
alkej-56	110	24	�	�	PROPN
alkej-56	110	25	‚	‚	PROPN
alkej-56	110	26	d	d	PROPN
alkej-56	110	27	�	�	PROPN
alkej-56	110	28	�	�	PROPN
alkej-56	110	29	�	�	PROPN
alkej-56	110	30	)	)	PUNCT
alkej-56	110	31	in	in	ADP
alkej-56	110	32	range	range	NOUN
alkej-56	110	33	of	of	ADP
alkej-56	110	34	any	any	DET
alkej-56	110	35	differentiation	differentiation	NOUN
alkej-56	110	36	,	,	PUNCT
alkej-56	110	37	then	then	ADV
alkej-56	110	38	we	we	PRON
alkej-56	110	39	get	get	VERB
alkej-56	110	40	:	:	PUNCT
alkej-56	110	41	0	0	NUM
alkej-56	111	1	=	=	SYM
alkej-56	111	2	c[−	c[−	PROPN
alkej-56	111	3	d	d	PROPN
alkej-56	111	4	/	/	SYM
alkej-56	111	5	�	�	PROPN
alkej-56	111	6	�	�	PROPN
alkej-56	111	7	/	/	SYM
alkej-56	111	8	−	−	PROPN
alkej-56	111	9	d	d	PROPN
alkej-56	111	10	�	�	PROPN
alkej-56	111	11	/	/	SYM
alkej-56	111	12	�	�	PROPN
alkej-56	111	13	�	�	PROPN
alkej-56	111	14	/	/	SYM
alkej-56	111	15	"	"	PUNCT
alkej-56	111	16	−	−	PROPN
alkej-56	111	17	d	d	PROPN
alkej-56	111	18	/	/	SYM
alkej-56	111	19	�	�	PROPN
alkej-56	111	20	�	�	PROPN
alkej-56	111	21	�	�	PROPN
alkej-56	111	22	/	/	SYM
alkej-56	111	23	"	"	PUNCT
alkej-56	111	24	−	−	PROPN
alkej-56	111	25	d	d	PROPN
alkej-56	111	26	�	�	PROPN
alkej-56	111	27	/	/	SYM
alkej-56	111	28	�	�	PROPN
alkej-56	111	29	�	�	PROPN
alkej-56	111	30	�	�	PROPN
alkej-56	111	31	/	/	SYM
alkej-56	111	32	−	−	PROPN
alkej-56	111	33	d	d	PROPN
alkej-56	111	34	�	�	PROPN
alkej-56	111	35	�	�	PROPN
alkej-56	111	36	�	�	PROPN
alkej-56	111	37	/g	/g	SYM
alkej-56	111	38	�	�	PROPN
alkej-56	111	39	�	�	PROPN
alkej-56	111	40	h/	h/	NOUN
alkej-56	111	41	g	g	PROPN
alkej-56	111	42	−	−	PROPN
alkej-56	111	43	d	d	PROPN
alkej-56	111	44	�	�	PROPN
alkej-56	111	45	�	�	PROPN
alkej-56	111	46	�	�	PROPN
alkej-56	111	47	/g	/g	SYM
alkej-56	111	48	�	�	PROPN
alkej-56	111	49	�	�	PROPN
alkej-56	111	50	h/"g	h/"g	PART
alkej-56	111	51	−2	−2	NOUN
alkej-56	111	52	d	d	PROPN
alkej-56	111	53	�	�	PROPN
alkej-56	111	54	�	�	PROPN
alkej-56	111	55	�	�	PROPN
alkej-56	111	56	/g	/g	SYM
alkej-56	111	57	�	�	PROPN
alkej-56	111	58	�	�	NOUN
alkej-56	111	59	�	�	NOUN
alkej-56	111	60	h/	h/	NOUN
alkej-56	111	61	/	/	PUNCT
alkej-56	111	62	"	"	PUNCT
alkej-56	111	63	−	−	PROPN
alkej-56	111	64	d	d	PROPN
alkej-56	111	65	�	�	PROPN
alkej-56	111	66	�	�	PROPN
alkej-56	111	67	�	�	PROPN
alkej-56	111	68	/g	/g	SYM
alkej-56	111	69	�	�	PROPN
alkej-56	111	70	�	�	PROPN
alkej-56	111	71	1/	1/	NUM
alkej-56	111	72	g	g	NOUN
alkej-56	111	73	−	−	PROPN
alkej-56	111	74	d	d	PROPN
alkej-56	111	75	�	�	PROPN
alkej-56	111	76	�	�	PROPN
alkej-56	111	77	�	�	PROPN
alkej-56	111	78	/g	/g	SYM
alkej-56	111	79	�	�	PROPN
alkej-56	111	80	�	�	PROPN
alkej-56	111	81	1/"g	1/"g	PROPN
alkej-56	111	82	−2	−2	PROPN
alkej-56	111	83	d	d	PROPN
alkej-56	111	84	�	�	PROPN
alkej-56	111	85	�	�	PROPN
alkej-56	111	86	�	�	PROPN
alkej-56	111	87	/g	/g	SYM
alkej-56	111	88	�	�	PROPN
alkej-56	111	89	�	�	PROPN
alkej-56	111	90	�	�	PROPN
alkej-56	111	91	1/	1/	NUM
alkej-56	111	92	/	/	SYM
alkej-56	111	93	"	"	PUNCT
alkej-56	111	94	−	−	PROPN
alkej-56	111	95	d	d	PROPN
alkej-56	111	96	�	�	PROPN
alkej-56	111	97	�	�	PROPN
alkej-56	111	98	/	/	SYM
alkej-56	111	99	�	�	PROPN
alkej-56	111	100	�	�	PROPN
alkej-56	111	101	�	�	PROPN
alkej-56	111	102	m/	m/	NOUN
alkej-56	111	103	"	"	PUNCT
alkej-56	111	104	−	−	PROPN
alkej-56	111	105	d	d	PROPN
alkej-56	111	106	�	�	PROPN
alkej-56	111	107	�	�	PROPN
alkej-56	111	108	/	/	SYM
alkej-56	111	109	�	�	PROPN
alkej-56	111	110	�	�	PROPN
alkej-56	111	111	�	�	PROPN
alkej-56	111	112	m/	m/	NOUN
alkej-56	111	113	−	−	PROPN
alkej-56	111	114	d	d	SYM
alkej-56	111	115	�	�	PROPN
alkej-56	111	116	�	�	PROPN
alkej-56	111	117	�	�	PROPN
alkej-56	111	118	/	/	SYM
alkej-56	111	119	�	�	PROPN
alkej-56	111	120	�	�	PROPN
alkej-56	111	121	�	�	PROPN
alkej-56	111	122	1/	1/	NUM
alkej-56	111	123	"	"	PUNCT
alkej-56	111	124	−	−	PROPN
alkej-56	111	125	d	d	PROPN
alkej-56	111	126	�	�	PROPN
alkej-56	111	127	�	�	PROPN
alkej-56	111	128	�	�	PROPN
alkej-56	111	129	/	/	SYM
alkej-56	111	130	�	�	PROPN
alkej-56	111	131	�	�	PROPN
alkej-56	111	132	�	�	PROPN
alkej-56	111	133	1/	1/	NUM
alkej-56	111	134	]	]	PUNCT
alkej-56	111	135	∂x	∂x	PROPN
alkej-56	111	136	∂y	∂y	SYM
alkej-56	111	137	…	…	PUNCT
alkej-56	111	138	(	(	PUNCT
alkej-56	111	139	10	10	NUM
alkej-56	111	140	)	)	PUNCT
alkej-56	111	141	the	the	DET
alkej-56	111	142	virtual	virtual	ADJ
alkej-56	111	143	work	work	NOUN
alkej-56	111	144	done	do	VERB
alkej-56	111	145	dv	dv	PROPN
alkej-56	111	146	is	be	AUX
alkej-56	111	147	:	:	PUNCT
alkej-56	111	148	dv	dv	PROPN
alkej-56	111	149	=	=	SYM
alkej-56	111	150	−	−	PROPN
alkej-56	111	151	�	�	PROPN
alkej-56	111	152	�	�	PROPN
alkej-56	111	153	n	n	CCONJ
alkej-56	111	154	<	<	PROPN
alkej-56	111	155	rd	rd	PROPN
alkej-56	111	156	8g	8g	PROPN
alkej-56	111	157	�	�	PROPN
alkej-56	111	158	9	9	NUM
alkej-56	111	159	�	�	PROPN
alkej-56	111	160	�	�	PROPN
alkej-56	111	161	9:;	9:;	NUM
alkej-56	111	162	�	�	PROPN
alkej-56	111	163	9	9	NUM
alkej-56	111	164	>	>	PUNCT
alkej-56	111	165	?	?	PUNCT
alkej-56	112	1	�	�	NOUN
alkej-56	112	2	8	8	NUM
alkej-56	112	3	<	<	NOUN
alkej-56	112	4	g	g	PROPN
alkej-56	112	5	�	�	NOUN
alkej-56	112	6	∂x	∂x	PROPN
alkej-56	112	7	∂y	∂y	PUNCT
alkej-56	112	8	=	=	SYM
alkej-56	112	9	0	0	NUM
alkej-56	112	10	�	�	PROPN
alkej-56	112	11	…	…	PUNCT
alkej-56	112	12	(	(	PUNCT
alkej-56	112	13	11	11	NUM
alkej-56	112	14	)	)	PUNCT
alkej-56	112	15	de	de	NOUN
alkej-56	112	16	=	=	SYM
alkej-56	112	17	c	c	PROPN
alkej-56	112	18	c	c	PROPN
alkej-56	112	19	�	�	PROPN
alkej-56	112	20	2gn2	2gn2	NUM
alkej-56	112	21	g	g	PROPN
alkej-56	112	22	�	�	PROPN
alkej-56	112	23	�	�	PROPN
alkej-56	112	24	�	�	PROPN
alkej-56	112	25	−	−	PROPN
alkej-56	112	26	$	$	SYM
alkej-56	112	27	/0	/0	NOUN
alkej-56	112	28	�	�	PROPN
alkej-56	112	29	hi/	hi/	NOUN
alkej-56	112	30	+	+	CCONJ
alkej-56	112	31	u	u	PROPN
alkej-56	112	32	/0	/0	PROPN
alkej-56	112	33	�	�	PROPN
alkej-56	112	34	12/	12/	NUM
alkej-56	112	35	�	�	PROPN
alkej-56	112	36	�	�	PROPN
alkej-56	112	37	d	d	PROPN
alkej-56	112	38	�	�	PROPN
alkej-56	112	39	−	−	PROPN
alkej-56	112	40	$	$	SYM
alkej-56	112	41	�	�	PROPN
alkej-56	112	42	/0	/0	NOUN
alkej-56	112	43	�	�	PROPN
alkej-56	112	44	hi/	hi/	PROPN
alkej-56	112	45	+	+	CCONJ
alkej-56	112	46	u	u	PROPN
alkej-56	112	47	�	�	PROPN
alkej-56	112	48	/0	/0	PROPN
alkej-56	112	49	�	�	PROPN
alkej-56	112	50	12/	12/	NUM
alkej-56	112	51	�	�	PROPN
alkej-56	112	52	+	+	CCONJ
alkej-56	112	53	�	�	PROPN
alkej-56	112	54	�	�	PROPN
alkej-56	112	55	�	�	PROPN
alkej-56	112	56	−	−	PROPN
alkej-56	112	57	$	$	SYM
alkej-56	112	58	/0	/0	NOUN
alkej-56	112	59	�	�	PROPN
alkej-56	112	60	hi/	hi/	PROPN
alkej-56	112	61	"	"	PUNCT
alkej-56	112	62	+	+	CCONJ
alkej-56	112	63	u	u	PROPN
alkej-56	112	64	/0	/0	PROPN
alkej-56	112	65	�	�	PROPN
alkej-56	112	66	12/	12/	NUM
alkej-56	112	67	"	"	PUNCT
alkej-56	112	68	�	�	PROPN
alkej-56	112	69	�	�	PROPN
alkej-56	112	70	d	d	PROPN
alkej-56	112	71	�	�	PROPN
alkej-56	112	72	�	�	PROPN
alkej-56	112	73	−	−	PROPN
alkej-56	112	74	ibtehal	ibtehal	PROPN
alkej-56	112	75	abbas	abbas	PROPN
alkej-56	112	76	sadiq	sadiq	PROPN
alkej-56	112	77	al	al	PROPN
alkej-56	112	78	-	-	PUNCT
alkej-56	112	79	khwarizmi	khwarizmi	PROPN
alkej-56	112	80	engineering	engineering	NOUN
alkej-56	112	81	journal	journal	PROPN
alkej-56	112	82	,	,	PUNCT
alkej-56	112	83	vol	vol	NOUN
alkej-56	112	84	.	.	PROPN
alkej-56	112	85	14	14	NUM
alkej-56	112	86	,	,	PUNCT
alkej-56	112	87	no	no	INTJ
alkej-56	112	88	.	.	NOUN
alkej-56	112	89	4	4	NUM
alkej-56	112	90	,	,	PUNCT
alkej-56	112	91	p.p	p.p	PROPN
alkej-56	112	92	.	.	NOUN
alkej-56	112	93	3444	3444	NUM
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alkej-56	112	95	2018	2018	NUM
alkej-56	112	96	)	)	PUNCT
alkej-56	112	97	37	37	NUM
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alkej-56	112	101	�	�	PROPN
alkej-56	112	102	hi/	hi/	PROPN
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alkej-56	112	104	+	+	CCONJ
alkej-56	112	105	u	u	PROPN
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alkej-56	112	108	�	�	PROPN
alkej-56	112	109	12/	12/	NUM
alkej-56	112	110	"	"	PUNCT
alkej-56	112	111	�	�	PROPN
alkej-56	112	112	+	+	CCONJ
alkej-56	112	113	[	[	X
alkej-56	112	114	�	�	PROPN
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alkej-56	112	117	+	+	CCONJ
alkej-56	112	118	�	�	PROPN
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alkej-56	112	122	+	+	CCONJ
alkej-56	112	123	�	�	PROPN
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alkej-56	112	126	�	�	PROPN
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alkej-56	112	128	[	[	X
alkej-56	112	129	d	d	PROPN
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alkej-56	112	132	�	�	PROPN
alkej-56	112	133	+	+	PROPN
alkej-56	112	134	d	d	PROPN
alkej-56	112	135	�	�	PROPN
alkej-56	112	136	�	�	PROPN
alkej-56	112	137	�	�	PROPN
alkej-56	112	138	�	�	PROPN
alkej-56	112	139	+	+	CCONJ
alkej-56	112	140	d	d	PROPN
alkej-56	112	141	�	�	PROPN
alkej-56	112	142	�	�	PROPN
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alkej-56	112	144	�	�	PROPN
alkej-56	112	145	]	]	PUNCT
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alkej-56	112	147	g	g	PROPN
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alkej-56	112	153	+	+	PROPN
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alkej-56	112	159	:	:	PUNCT
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alkej-56	112	161	8	8	NUM
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alkej-56	112	172	,	,	PUNCT
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alkej-56	112	186	:	:	PUNCT
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alkej-56	112	188	8	8	NUM
alkej-56	112	189	<	<	X
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alkej-56	112	191	i	i	NOUN
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alkej-56	112	196	?	?	PROPN
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alkej-56	112	199	,	,	PUNCT
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alkej-56	112	205	8	8	NUM
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alkej-56	112	207	+	+	X
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alkej-56	112	212	i	i	NOUN
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alkej-56	112	218	8	8	NUM
alkej-56	112	219	<	<	X
alkej-56	112	220	+	+	PROPN
alkej-56	112	221	i	i	PROPN
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alkej-56	112	226	?	?	PROPN
alkej-56	112	227	8	8	NUM
alkej-56	112	228	<	<	X
alkej-56	112	229	,	,	PUNCT
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alkej-56	112	233	>	>	PUNCT
alkej-56	112	234	?	?	PUNCT
alkej-56	112	235	8	8	NUM
alkej-56	112	236	<	<	X
alkej-56	112	237	+	+	X
alkej-56	112	238	+	+	ADJ
alkej-56	112	239	i&v	i&v	PROPN
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alkej-56	112	241	−	−	PROPN
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alkej-56	112	244	:	:	PUNCT
alkej-56	112	245	;	;	PUNCT
alkej-56	113	1	8b	8b	NUM
alkej-56	113	2	+	+	CCONJ
alkej-56	113	3	i	i	PROPN
alkej-56	113	4	'	'	PART
alkej-56	113	5	89	89	NUM
alkej-56	113	6	�	�	PROPN
alkej-56	113	7	>	>	PUNCT
alkej-56	113	8	?	?	PROPN
alkej-56	113	9	8b	8b	NUM
alkej-56	113	10	,	,	PUNCT
alkej-56	113	11	δv	δv	ADP
alkej-56	113	12	�	�	PROPN
alkej-56	113	13	+	+	NOUN
alkej-56	113	14	+	+	ADJ
alkej-56	113	15	−i	−i	ADJ
alkej-56	113	16	-	-	PUNCT
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alkej-56	113	20	i	i	PROPN
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alkej-56	113	23	�	�	PROPN
alkej-56	113	24	:	:	PUNCT
alkej-56	113	25	;	;	PUNCT
alkej-56	113	26	8b	8b	NUM
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alkej-56	113	28	i	i	NOUN
alkej-56	113	29	)	)	PUNCT
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alkej-56	113	33	?	?	PROPN
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alkej-56	113	35	,	,	PUNCT
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alkej-56	113	39	:	:	PUNCT
alkej-56	113	40	;	;	PUNCT
alkej-56	113	41	8b	8b	NUM
alkej-56	113	42	+	+	SYM
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alkej-56	113	46	−i	−i	NOUN
alkej-56	113	47	)	)	PUNCT
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alkej-56	113	51	;	;	PUNCT
alkej-56	113	52	8b	8b	NUM
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alkej-56	113	54	i	i	PROPN
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alkej-56	113	57	�	�	PROPN
alkej-56	113	58	>	>	PUNCT
alkej-56	113	59	?	?	PROPN
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alkej-56	113	61	,	,	PUNCT
alkej-56	113	62	�	�	PROPN
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alkej-56	113	64	�	�	PROPN
alkej-56	113	65	>	>	PUNCT
alkej-56	113	66	?	?	PROPN
alkej-56	114	1	8b	8b	PROPN
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alkej-56	114	7	+	+	CCONJ
alkej-56	114	8	w	w	PROPN
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alkej-56	114	10	�	�	PROPN
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alkej-56	114	13	w	w	PROPN
alkej-56	114	14	�	�	PROPN
alkej-56	114	15	�	�	PROPN
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alkej-56	114	18	δw	δw	PROPN
alkej-56	114	19	�	�	PROPN
alkej-56	114	20	�	�	PROPN
alkej-56	114	21	+	+	CCONJ
alkej-56	114	22	�	�	PROPN
alkej-56	114	23	w	w	PROPN
alkej-56	114	24	�	�	PROPN
alkej-56	114	25	�	�	PROPN
alkej-56	114	26	+	+	CCONJ
alkej-56	114	27	w	w	PROPN
alkej-56	114	28	�	�	PROPN
alkej-56	114	29	�	�	PROPN
alkej-56	114	30	�	�	PROPN
alkej-56	114	31	+	+	CCONJ
alkej-56	114	32	w	w	PROPN
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alkej-56	114	34	�	�	PROPN
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alkej-56	114	36	�	�	PROPN
alkej-56	114	37	δw	δw	PROPN
alkej-56	114	38	�	�	PROPN
alkej-56	114	39	�	�	PROPN
alkej-56	114	40	+	+	CCONJ
alkej-56	114	41	�	�	PROPN
alkej-56	114	42	w	w	PROPN
alkej-56	114	43	�	�	PROPN
alkej-56	114	44	�	�	PROPN
alkej-56	114	45	+	+	PROPN
alkej-56	114	46	w	w	PROPN
alkej-56	114	47	�	�	PROPN
alkej-56	114	48	�	�	PROPN
alkej-56	114	49	�	�	PROPN
alkej-56	114	50	+	+	CCONJ
alkej-56	114	51	w	w	PROPN
alkej-56	114	52	�	�	PROPN
alkej-56	114	53	�	�	PROPN
alkej-56	114	54	�	�	PROPN
alkej-56	114	55	�	�	PROPN
alkej-56	114	56	δw	δw	PROPN
alkej-56	114	57	�	�	PROPN
alkej-56	114	58	�	�	PROPN
alkej-56	114	59	�	�	PROPN
alkej-56	114	60	�	�	PROPN
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alkej-56	114	65	12	12	NUM
alkej-56	114	66	)	)	PUNCT
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alkej-56	114	69	x	x	SYM
alkej-56	114	70	�	�	PROPN
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alkej-56	114	74	‚	‚	NOUN
alkej-56	114	75	�	�	NOUN
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alkej-56	114	77	‚	‚	NUM
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alkej-56	114	80	‚	‚	NOUN
alkej-56	114	81	�	�	NOUN
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alkej-56	114	83	‚	‚	PROPN
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alkej-56	114	85	�	�	PROPN
alkej-56	114	86	z	z	PROPN
alkej-56	114	87	=	=	SYM
alkej-56	114	88	c	c	PROPN
alkej-56	114	89	�	�	PROPN
alkej-56	114	90	2gn2	2gn2	NUM
alkej-56	114	91	g	g	ADP
alkej-56	114	92	�	�	PROPN
alkej-56	114	93	1	1	NUM
alkej-56	114	94	‚	‚	NUM
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alkej-56	114	96	‚	‚	NOUN
alkej-56	114	97	$	$	SYM
alkej-56	114	98	-	-	PUNCT
alkej-56	114	99	‚	‚	NOUN
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alkej-56	114	101	�	�	PROPN
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alkej-56	114	103	�	�	NOUN
alkej-56	114	104	‚	‚	PRON
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alkej-56	114	106	u	u	NOUN
alkej-56	114	107	�	�	PROPN
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alkej-56	114	109	�	�	NOUN
alkej-56	114	110	‚	‚	NOUN
alkej-56	114	111	[	[	X
alkej-56	114	112	u	u	NOUN
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alkej-56	114	115	�	�	PROPN
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alkej-56	114	117	�	�	PROPN
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alkej-56	114	119	2.3	2.3	NUM
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alkej-56	114	122	motion	motion	NOUN
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alkej-56	114	124	euler	euler	NOUN
alkej-56	114	125	-	-	PUNCT
alkej-56	114	126	lagrange	lagrange	NOUN
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alkej-56	114	132	12	12	NUM
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alkej-56	114	136	(	(	PUNCT
alkej-56	114	137	6	6	NUM
alkej-56	114	138	)	)	PUNCT
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alkej-56	114	145	(	(	PUNCT
alkej-56	114	146	d	d	PROPN
alkej-56	114	147	,	,	PUNCT
alkej-56	114	148	d	d	PROPN
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alkej-56	114	151	d	d	PROPN
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alkej-56	114	153	�	�	PROPN
alkej-56	114	154	‚	‚	NOUN
alkej-56	114	155	d	d	PROPN
alkej-56	114	156	�	�	PROPN
alkej-56	114	157	�	�	PROPN
alkej-56	114	158	�	�	PROPN
alkej-56	114	159	‚	‚	PROPN
alkej-56	114	160	d	d	PROPN
alkej-56	114	161	�	�	PROPN
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alkej-56	114	163	�	�	PROPN
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alkej-56	114	166	eq.(6	eq.(6	NOUN
alkej-56	114	167	)	)	PUNCT
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alkej-56	114	171	,	,	PUNCT
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alkej-56	114	173	give	give	VERB
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alkej-56	114	175	equations	equation	NOUN
alkej-56	114	176	of	of	ADP
alkej-56	114	177	motion	motion	NOUN
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alkej-56	114	180	:	:	PUNCT
alkej-56	114	181	δu	δu	ADP
alkej-56	114	182	∶	∶	NOUN
alkej-56	114	183	8	8	NUM
alkej-56	114	184	�	�	NOUN
alkej-56	114	185	 	 	SPACE
alkej-56	114	186	8	8	NUM
alkej-56	114	187	<	<	X
alkej-56	114	188	+	+	NUM
alkej-56	114	189	8	8	NUM
alkej-56	114	190	�	�	NOUN
alkej-56	114	191	 	 	SPACE
alkej-56	114	192	¡	¡	PROPN
alkej-56	114	193	8b	8b	PROPN
alkej-56	114	194	=	=	SYM
alkej-56	114	195	i&u¢	i&u¢	PROPN
alkej-56	114	196	δv	δv	ADV
alkej-56	114	197	∶	∶	PROPN
alkej-56	114	198	8	8	NUM
alkej-56	114	199	�	�	NOUN
alkej-56	114	200	 	 	SPACE
alkej-56	114	201	¡	¡	NOUN
alkej-56	114	202	8	8	NUM
alkej-56	114	203	<	<	X
alkej-56	114	204	+	+	NUM
alkej-56	114	205	8	8	NUM
alkej-56	114	206	�	�	NOUN
alkej-56	114	207	¡8b	¡8b	NOUN
alkej-56	114	208	=	=	SYM
alkej-56	114	209	i&v¢	i&v¢	PROPN
alkej-56	114	210	δw	δw	PROPN
alkej-56	114	211	�	�	PROPN
alkej-56	114	212	�	�	PROPN
alkej-56	114	213	:	:	PUNCT
alkej-56	114	214	8g¤	8g¤	PROPN
alkej-56	114	215	 	 	SPACE
alkej-56	114	216	:	:	PUNCT
alkej-56	114	217	8	8	NUM
alkej-56	114	218	<	<	X
alkej-56	114	219	g	g	NOUN
alkej-56	114	220	+	+	CCONJ
alkej-56	114	221	2	2	NUM
alkej-56	114	222	8g¤	8g¤	NOUN
alkej-56	114	223	 	 	SPACE
alkej-56	114	224	¡	¡	PROPN
alkej-56	114	225	:	:	PUNCT
alkej-56	114	226	8	8	NUM
alkej-56	114	227	<	<	X
alkej-56	114	228	8b	8b	NUM
alkej-56	114	229	+	+	NUM
alkej-56	114	230	8g¤¡:8bg	8g¤¡:8bg	NOUN
alkej-56	114	231	+	+	CCONJ
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alkej-56	114	233	�	�	PROPN
alkej-56	114	234	w	w	PROPN
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alkej-56	114	236	=	=	PUNCT
alkej-56	114	237	i&	i&	PROPN
alkej-56	114	238	�	�	NOUN
alkej-56	114	239	w¢	w¢	X
alkej-56	114	240	�	�	NOUN
alkej-56	114	241	+	+	NUM
alkej-56	114	242	w¢	w¢	X
alkej-56	114	243	�	�	X
alkej-56	114	244	�	�	NOUN
alkej-56	114	245	+	+	CCONJ
alkej-56	114	246	w¢	w¢	X
alkej-56	114	247	�	�	PROPN
alkej-56	114	248	�	�	PROPN
alkej-56	114	249	�	�	PROPN
alkej-56	114	250	−	−	PROPN
alkej-56	115	1	i	i	PROPN
alkej-56	115	2	*	*	PROPN
alkej-56	115	3	8g8¥g	8g8¥g	NUM
alkej-56	115	4	�	�	PROPN
alkej-56	115	5	8g9:;8	8g9:;8	NUM
alkej-56	115	6	<	<	X
alkej-56	115	7	g	g	PROPN
alkej-56	115	8	+	+	PROPN
alkej-56	115	9	8g9:;8bg	8g9:;8bg	PROPN
alkej-56	115	10	�	�	PROPN
alkej-56	115	11	δw	δw	PROPN
alkej-56	115	12	�	�	PROPN
alkej-56	115	13	�	�	PROPN
alkej-56	115	14	∶	∶	PROPN
alkej-56	115	15	8g¤	8g¤	NOUN
alkej-56	115	16	 	 	SPACE
alkej-56	115	17	>	>	X
alkej-56	115	18	8	8	NUM
alkej-56	115	19	<	<	X
alkej-56	115	20	g	g	NOUN
alkej-56	115	21	+	+	CCONJ
alkej-56	115	22	2	2	NUM
alkej-56	115	23	8g¤	8g¤	NOUN
alkej-56	115	24	 	 	SPACE
alkej-56	115	25	¡	¡	PROPN
alkej-56	115	26	>	>	X
alkej-56	115	27	8	8	NUM
alkej-56	115	28	<	<	X
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alkej-56	115	30	+	+	SYM
alkej-56	115	31	8g¤¡>8bg	8g¤¡>8bg	NUM
alkej-56	115	32	+	+	CCONJ
alkej-56	115	33	8	8	NUM
alkej-56	115	34	¦	¦	NOUN
alkej-56	115	35	 	 	SPACE
alkej-56	115	36	§	§	PROPN
alkej-56	115	37	>	>	X
alkej-56	115	38	8	8	NUM
alkej-56	115	39	<	<	X
alkej-56	115	40	+	+	PROPN
alkej-56	115	41	8	8	NUM
alkej-56	115	42	¦	¦	X
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alkej-56	115	44	+	+	PROPN
alkej-56	115	45	n	n	CCONJ
alkej-56	115	46	�	�	PROPN
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alkej-56	115	49	=	=	SYM
alkej-56	115	50	i&	i&	PROPN
alkej-56	115	51	�	�	NOUN
alkej-56	115	52	w¢	w¢	NOUN
alkej-56	115	53	�	�	NOUN
alkej-56	115	54	+	+	NUM
alkej-56	115	55	w¢	w¢	X
alkej-56	115	56	�	�	X
alkej-56	115	57	�	�	NOUN
alkej-56	115	58	+	+	CCONJ
alkej-56	115	59	w¢	w¢	X
alkej-56	115	60	�	�	PROPN
alkej-56	115	61	�	�	PROPN
alkej-56	115	62	�	�	PROPN
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alkej-56	115	64	i	i	PROPN
alkej-56	115	65	�	�	PROPN
alkej-56	115	66	8g8¥g	8g8¥g	NUM
alkej-56	115	67	�	�	PROPN
alkej-56	115	68	8g9>?8	8g9>?8	NUM
alkej-56	115	69	<	<	X
alkej-56	115	70	g	g	PROPN
alkej-56	115	71	+8g9>?8bg	+8g9>?8bg	PUNCT
alkej-56	115	72	�	�	PROPN
alkej-56	115	73	δw	δw	PROPN
alkej-56	115	74	�	�	PROPN
alkej-56	115	75	∶	∶	PROPN
alkej-56	115	76	8	8	NUM
alkej-56	115	77	¦	¦	PROPN
alkej-56	115	78	 	 	SPACE
alkej-56	115	79	§	§	NOUN
alkej-56	115	80	�	�	NOUN
alkej-56	115	81	8	8	NUM
alkej-56	115	82	<	<	X
alkej-56	115	83	+	+	ADJ
alkej-56	115	84	8	8	NUM
alkej-56	115	85	¦	¦	NOUN
alkej-56	115	86	¡§	¡§	NOUN
alkej-56	115	87	�	�	NOUN
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alkej-56	115	90	n	n	CCONJ
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alkej-56	115	92	w	w	PROPN
alkej-56	115	93	�	�	PROPN
alkej-56	115	94	=	=	SYM
alkej-56	115	95	i&	i&	PROPN
alkej-56	115	96	�	�	NOUN
alkej-56	115	97	w¢	w¢	NOUN
alkej-56	115	98	�	�	NOUN
alkej-56	115	99	+	+	NUM
alkej-56	115	100	w¢	w¢	X
alkej-56	115	101	�	�	X
alkej-56	115	102	�	�	NOUN
alkej-56	115	103	+	+	ADJ
alkej-56	115	104	w¢	w¢	X
alkej-56	115	105	�	�	SYM
alkej-56	115	106	�	�	PROPN
alkej-56	115	107	�	�	PROPN
alkej-56	115	108	…	…	PUNCT
alkej-56	115	109	(	(	PUNCT
alkej-56	115	110	13	13	NUM
alkej-56	115	111	)	)	PUNCT
alkej-56	115	112	where	where	SCONJ
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alkej-56	115	114	n	n	CCONJ
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alkej-56	115	116	w	w	PROPN
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alkej-56	115	121	r	r	X
alkej-56	115	122	∂-	∂-	NOUN
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alkej-56	115	126	+	+	CCONJ
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alkej-56	115	128	�	�	PROPN
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alkej-56	115	130	+	+	CCONJ
alkej-56	115	131	w	w	PROPN
alkej-56	115	132	�	�	PROPN
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alkej-56	115	135	∂x-+	∂x-+	ADJ
alkej-56	115	136	nbr	nbr	ADJ
alkej-56	115	137	∂-	∂-	NOUN
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alkej-56	115	145	+	+	CCONJ
alkej-56	115	146	w	w	PROPN
alkej-56	115	147	�	�	PROPN
alkej-56	115	148	�	�	PROPN
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alkej-56	115	150	∂y+	∂y+	NOUN
alkej-56	115	151	2n	2n	NUM
alkej-56	115	152	<	<	X
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alkej-56	115	154	∂-	∂-	NOUN
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alkej-56	115	156	w	w	NOUN
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alkej-56	115	162	+	+	CCONJ
alkej-56	115	163	w	w	PROPN
alkej-56	115	164	�	�	PROPN
alkej-56	115	165	�	�	PROPN
alkej-56	115	166	�	�	PROPN
alkej-56	115	167	∂x	∂x	NOUN
alkej-56	115	168	∂y	∂y	NOUN
alkej-56	116	1	the	the	DET
alkej-56	116	2	result	result	NOUN
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alkej-56	116	4	are	be	AUX
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alkej-56	116	8	reddy	reddy	PROPN
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alkej-56	117	2	9	9	NUM
alkej-56	117	3	]	]	PUNCT
alkej-56	117	4	.	.	PUNCT
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alkej-56	118	3	y"y	y"y	PROPN
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alkej-56	118	9	o	o	NOUN
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alkej-56	118	11	#	#	NOUN
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alkej-56	118	13	#	#	NOUN
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alkej-56	118	16	g$!}~	g$!}~	PROPN
alkej-56	118	17	�	�	PROPN
alkej-56	118	18	!}	!}	PROPN
alkej-56	118	19	�	�	PROPN
alkej-56	118	20	i	i	PROPN
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alkej-56	118	28	�	�	PROPN
alkej-56	118	29	�	�	PROPN
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alkej-56	118	31	�	�	PROPN
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alkej-56	118	33	=	=	PUNCT
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alkej-56	118	36	o	o	NOUN
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alkej-56	118	40	#	#	NOUN
alkej-56	118	41	b	b	PROPN
alkej-56	118	42	p	p	X
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alkej-56	118	44	g$!}~	g$!}~	NOUN
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alkej-56	118	51	q	q	PROPN
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alkej-56	118	54	�	�	PROPN
alkej-56	118	55	"	"	PUNCT
alkej-56	118	56	�	�	PROPN
alkej-56	118	57	�	�	PROPN
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alkej-56	118	59	�	�	PROPN
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alkej-56	118	70	p	p	X
alkej-56	118	71	u	u	PROPN
alkej-56	118	72	g$!}~	g$!}~	PROPN
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alkej-56	118	74	!}	!}	PROPN
alkej-56	118	75	�	�	PROPN
alkej-56	118	76	i	i	PROPN
alkej-56	118	77	�	�	PROPN
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alkej-56	118	80	�	�	PROPN
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alkej-56	118	82	�	�	PROPN
alkej-56	118	83	�	�	PROPN
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alkej-56	118	86	�	�	PROPN
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alkej-56	119	3	∑	∑	PROPN
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alkej-56	120	3	!	!	PUNCT
alkej-56	121	1	w	w	PROPN
alkej-56	121	2	g$!}~	g$!}~	PROPN
alkej-56	121	3	�	�	PROPN
alkej-56	121	4	!}	!}	PROPN
alkej-56	121	5	�	�	PROPN
alkej-56	121	6	i	i	PROPN
alkej-56	121	7	�	�	PROPN
alkej-56	121	8	&	&	CCONJ
alkej-56	121	9	x	x	PROPN
alkej-56	121	10	�	�	PROPN
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alkej-56	121	12	�	�	PROPN
alkej-56	121	13	�	�	PROPN
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alkej-56	121	15	!	!	PUNCT
alkej-56	122	1	�	�	PROPN
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alkej-56	124	3	g$!}~	g$!}~	VERB
alkej-56	124	4	�	�	PROPN
alkej-56	124	5	!}	!}	PROPN
alkej-56	124	6	�	�	PROPN
alkej-56	124	7	i	i	PROPN
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alkej-56	124	16	stress	stress	NOUN
alkej-56	124	17	reduced	reduce	VERB
alkej-56	124	18	stiffness	stiffness	NOUN
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alkej-56	124	20	¨	¨	NOUN
alkej-56	124	21	©	©	PROPN
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alkej-56	124	23	:	:	PUNCT
alkej-56	124	24	�	�	PROPN
alkej-56	124	25	&	&	CCONJ
alkej-56	124	26	&	&	CCONJ
alkej-56	124	27	=	=	SYM
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alkej-56	124	34	‚	‚	PROPN
alkej-56	124	35	�	�	PROPN
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alkej-56	124	38	=	=	SYM
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alkej-56	124	40	�	�	PROPN
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alkej-56	124	43	gfg	gfg	PROPN
alkej-56	124	44	�	�	PROPN
alkej-56	124	45	�	�	PROPN
alkej-56	124	46	-=	-=	PRON
alkej-56	124	47	ªg&nf	ªg&nf	NUM
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alkej-56	124	50	�	�	PROPN
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alkej-56	124	53	�	�	PROPN
alkej-56	124	54	�	�	PROPN
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alkej-56	124	59	�	�	PROPN
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alkej-56	124	65	‚	‚	PROPN
alkej-56	124	66	�	�	NOUN
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alkej-56	124	68	)	)	PUNCT
alkej-56	125	1	=	=	PUNCT
alkej-56	125	2	«	«	PUNCT
alkej-56	125	3	&	&	CCONJ
alkej-56	125	4	*	*	PROPN
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alkej-56	125	6	the	the	DET
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alkej-56	125	13	lamina	lamina	PROPN
alkej-56	125	14	,	,	PUNCT
alkej-56	125	15	the	the	DET
alkej-56	125	16	transformed	transform	VERB
alkej-56	125	17	stress	stress	NOUN
alkej-56	125	18	-	-	PUNCT
alkej-56	125	19	strain	strain	NOUN
alkej-56	125	20	relation	relation	NOUN
alkej-56	125	21	are	be	AUX
alkej-56	125	22	:	:	PUNCT
alkej-56	125	23	⎩⎪⎨	⎩⎪⎨	PROPN
alkej-56	125	24	⎪⎧	⎪⎧	NOUN
alkej-56	125	25	#	#	NOUN
alkej-56	125	26	#	#	NOUN
alkej-56	125	27	"	"	PUNCT
alkej-56	125	28	#	#	NOUN
alkej-56	125	29	"	"	PUNCT
alkej-56	125	30	#	#	NOUN
alkej-56	125	31	"	"	PUNCT
alkej-56	125	32	!	!	PUNCT
alkej-56	125	33	#	#	NOUN
alkej-56	125	34	!	!	PUNCT
alkej-56	126	1	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	126	2	⎪⎫	⎪⎫	NOUN
alkej-56	126	3	=	=	SYM
alkej-56	126	4	⎣⎢⎢	⎣⎢⎢	PROPN
alkej-56	126	5	⎢⎡	⎢⎡	PROPN
alkej-56	126	6	�	�	PROPN
alkej-56	126	7	&	&	CCONJ
alkej-56	126	8	&	&	CCONJ
alkej-56	126	9	�	�	PROPN
alkej-56	126	10	&	&	CCONJ
alkej-56	126	11	0	0	NUM
alkej-56	126	12	0	0	NUM
alkej-56	126	13	0	0	NUM
alkej-56	126	14	�	�	PROPN
alkej-56	126	15	-	-	PUNCT
alkej-56	126	16	&	&	CCONJ
alkej-56	126	17	�	�	PROPN
alkej-56	126	18	-	-	PUNCT
alkej-56	126	19	0	0	NUM
alkej-56	126	20	0	0	NUM
alkej-56	126	21	0	0	NUM
alkej-56	126	22	0	0	NUM
alkej-56	126	23	0	0	NUM
alkej-56	126	24	�	�	PROPN
alkej-56	126	25	�	�	PROPN
alkej-56	126	26	�	�	PROPN
alkej-56	126	27	0	0	NUM
alkej-56	126	28	0	0	NUM
alkej-56	126	29	0	0	NUM
alkej-56	126	30	0	0	NUM
alkej-56	126	31	0	0	NUM
alkej-56	126	32	�	�	PROPN
alkej-56	126	33	''	''	PUNCT
alkej-56	126	34	0	0	NUM
alkej-56	126	35	0	0	NUM
alkej-56	126	36	0	0	NUM
alkej-56	126	37	0	0	NUM
alkej-56	126	38	0	0	NUM
alkej-56	126	39	�	�	PROPN
alkej-56	126	40	)	)	PUNCT
alkej-56	126	41	)	)	PUNCT
alkej-56	127	1	⎦⎥⎥	⎦⎥⎥	PUNCT
alkej-56	127	2	⎥⎤	⎥⎤	PRON
alkej-56	127	3	⎩⎪⎨	⎩⎪⎨	PROPN
alkej-56	127	4	⎪⎧	⎪⎧	PROPN
alkej-56	127	5	d	d	PROPN
alkej-56	127	6	d	d	PROPN
alkej-56	127	7	"	"	PUNCT
alkej-56	127	8	�	�	PROPN
alkej-56	127	9	"	"	PUNCT
alkej-56	127	10	�	�	PROPN
alkej-56	127	11	"	"	PUNCT
alkej-56	127	12	!	!	PUNCT
alkej-56	127	13	�	�	PROPN
alkej-56	127	14	!	!	PUNCT
alkej-56	128	1	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	128	2	⎪⎫	⎪⎫	NOUN
alkej-56	128	3	…	…	PUNCT
alkej-56	128	4	(	(	PUNCT
alkej-56	128	5	15	15	NUM
alkej-56	128	6	)	)	PUNCT
alkej-56	128	7	the	the	DET
alkej-56	128	8	force	force	NOUN
alkej-56	128	9	results	result	NOUN
alkej-56	128	10	are	be	AUX
alkej-56	128	11	related	relate	VERB
alkej-56	128	12	to	to	ADP
alkej-56	128	13	the	the	DET
alkej-56	128	14	strains	strain	NOUN
alkej-56	128	15	by	by	ADP
alkej-56	128	16	relations	relation	NOUN
alkej-56	128	17	:	:	PUNCT
alkej-56	128	18	q	q	PROPN
alkej-56	128	19	y	y	PROPN
alkej-56	128	20	y	y	PROPN
alkej-56	128	21	"	"	PUNCT
alkej-56	128	22	y	y	PROPN
alkej-56	128	23	"	"	PUNCT
alkej-56	128	24	s	s	PART
alkej-56	128	25	=	=	NOUN
alkej-56	128	26	²a	²a	PROPN
alkej-56	128	27	&	&	CCONJ
alkej-56	128	28	&	&	CCONJ
alkej-56	128	29	a&a&	a&a&	PROPN
alkej-56	128	30	�	�	PROPN
alkej-56	128	31	a&a	a&a	PROPN
alkej-56	128	32	-	-	PUNCT
alkej-56	128	33	a-	a-	PROPN
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alkej-56	128	35	a	a	PROPN
alkej-56	128	36	&	&	CCONJ
alkej-56	128	37	�	�	PROPN
alkej-56	128	38	a-	a-	PROPN
alkej-56	128	39	�	�	PROPN
alkej-56	128	40	a	a	DET
alkej-56	128	41	�	�	PROPN
alkej-56	128	42	�	�	NOUN
alkej-56	128	43	´	´	NOUN
alkej-56	128	44	q	q	PROPN
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alkej-56	128	46	rd	rd	NOUN
alkej-56	128	47	"	"	PUNCT
alkej-56	128	48	r	r	NOUN
alkej-56	128	49	�	�	NOUN
alkej-56	128	50	"	"	PUNCT
alkej-56	128	51	r	r	NOUN
alkej-56	128	52	s+	s+	PUNCT
alkej-56	128	53	²b	²b	PROPN
alkej-56	128	54	&	&	CCONJ
alkej-56	128	55	&	&	CCONJ
alkej-56	128	56	b&b&	b&b&	PROPN
alkej-56	128	57	�	�	PROPN
alkej-56	128	58	b&b	b&b	PROPN
alkej-56	128	59	-	-	PUNCT
alkej-56	128	60	b-	b-	PROPN
alkej-56	128	61	�	�	PROPN
alkej-56	128	62	b	b	PROPN
alkej-56	128	63	&	&	CCONJ
alkej-56	128	64	�	�	PROPN
alkej-56	128	65	b-	b-	PROPN
alkej-56	128	66	�	�	PROPN
alkej-56	128	67	b	b	PROPN
alkej-56	128	68	�	�	PROPN
alkej-56	128	69	�	�	PROPN
alkej-56	128	70	´	´	PROPN
alkej-56	128	71	q	q	PROPN
alkej-56	128	72	t	t	PROPN
alkej-56	128	73	�	�	PROPN
alkej-56	128	74	t	t	PROPN
alkej-56	128	75	"	"	PUNCT
alkej-56	128	76	�	�	PROPN
alkej-56	128	77	t	t	PROPN
alkej-56	128	78	"	"	PUNCT
alkej-56	128	79	�	�	PROPN
alkej-56	128	80	s+	s+	PUNCT
alkej-56	128	81	¶	¶	PROPN
alkej-56	128	82	·	·	PROPN
alkej-56	128	83	&	&	CCONJ
alkej-56	128	84	&	&	CCONJ
alkej-56	128	85	�	�	PROPN
alkej-56	128	86	·	·	SYM
alkej-56	128	87	&	&	CCONJ
alkej-56	128	88	-	-	PUNCT
alkej-56	128	89	�	�	PROPN
alkej-56	128	90	·	·	SYM
alkej-56	128	91	&	&	CCONJ
alkej-56	128	92	�	�	PROPN
alkej-56	128	93	�	�	PROPN
alkej-56	128	94	·	·	SYM
alkej-56	128	95	&	&	CCONJ
alkej-56	128	96	-	-	PUNCT
alkej-56	128	97	�	�	PROPN
alkej-56	128	98	·	·	PUNCT
alkej-56	128	99	--	--	PUNCT
alkej-56	128	100	�	�	PROPN
alkej-56	128	101	·	·	SYM
alkej-56	128	102	-	-	PUNCT
alkej-56	128	103	�	�	PROPN
alkej-56	128	104	�	�	PROPN
alkej-56	128	105	·	·	SYM
alkej-56	128	106	&	&	CCONJ
alkej-56	128	107	�	�	PROPN
alkej-56	128	108	�	�	PROPN
alkej-56	128	109	·	·	SYM
alkej-56	128	110	-	-	PUNCT
alkej-56	128	111	�	�	PROPN
alkej-56	128	112	�	�	PROPN
alkej-56	128	113	·	·	SYM
alkej-56	128	114	�	�	PROPN
alkej-56	128	115	�	�	PROPN
alkej-56	128	116	�	�	PROPN
alkej-56	128	117	¸	¸	X
alkej-56	128	118	q	q	PROPN
alkej-56	128	119	t	t	PROPN
alkej-56	128	120	�	�	PROPN
alkej-56	128	121	t	t	PROPN
alkej-56	128	122	"	"	PUNCT
alkej-56	128	123	�	�	PROPN
alkej-56	128	124	t	t	PROPN
alkej-56	128	125	"	"	PUNCT
alkej-56	128	126	�	�	PROPN
alkej-56	128	127	s	s	PART
alkej-56	128	128	q	q	PROPN
alkej-56	128	129	�	�	PROPN
alkej-56	128	130	�	�	PROPN
alkej-56	128	131	�	�	PROPN
alkej-56	128	132	"	"	PUNCT
alkej-56	128	133	�	�	PROPN
alkej-56	128	134	�	�	PROPN
alkej-56	128	135	"	"	PUNCT
alkej-56	128	136	�	�	PROPN
alkej-56	128	137	s	s	PART
alkej-56	128	138	=	=	NOUN
alkej-56	128	139	²b	²b	PROPN
alkej-56	128	140	&	&	CCONJ
alkej-56	128	141	&	&	CCONJ
alkej-56	128	142	b&b&	b&b&	PROPN
alkej-56	128	143	�	�	PROPN
alkej-56	128	144	b&b	b&b	PROPN
alkej-56	128	145	-	-	PUNCT
alkej-56	128	146	b-	b-	PROPN
alkej-56	128	147	�	�	PROPN
alkej-56	128	148	b	b	PROPN
alkej-56	128	149	&	&	CCONJ
alkej-56	128	150	�	�	PROPN
alkej-56	128	151	b-	b-	PROPN
alkej-56	128	152	�	�	PROPN
alkej-56	128	153	b	b	PROPN
alkej-56	128	154	�	�	PROPN
alkej-56	128	155	�	�	PROPN
alkej-56	128	156	´	´	NOUN
alkej-56	128	157	q	q	PROPN
alkej-56	129	1	d	d	PROPN
alkej-56	129	2	rd	rd	NOUN
alkej-56	129	3	"	"	PUNCT
alkej-56	129	4	r	r	NOUN
alkej-56	129	5	�	�	NOUN
alkej-56	129	6	"	"	PUNCT
alkej-56	129	7	r	r	NOUN
alkej-56	129	8	s	s	PART
alkej-56	129	9	+	+	NUM
alkej-56	129	10	²d	²d	PROPN
alkej-56	129	11	&	&	CCONJ
alkej-56	129	12	&	&	CCONJ
alkej-56	129	13	d&d&	d&d&	PROPN
alkej-56	129	14	�	�	PROPN
alkej-56	129	15	d&d	d&d	PROPN
alkej-56	129	16	-	-	PUNCT
alkej-56	129	17	d-	d-	X
alkej-56	129	18	�	�	PROPN
alkej-56	129	19	d	d	PROPN
alkej-56	129	20	&	&	CCONJ
alkej-56	129	21	�	�	PROPN
alkej-56	129	22	d-	d-	X
alkej-56	129	23	�	�	PROPN
alkej-56	129	24	d	d	PROPN
alkej-56	129	25	�	�	PROPN
alkej-56	129	26	�	�	NOUN
alkej-56	129	27	´	´	NOUN
alkej-56	129	28	º	º	PROPN
alkej-56	129	29	k<	k<	PROPN
alkej-56	129	30	�	�	PROPN
alkej-56	129	31	kb	kb	PROPN
alkej-56	129	32	�	�	PROPN
alkej-56	129	33	k	k	PROPN
alkej-56	129	34	<	<	PROPN
alkej-56	129	35	b	b	X
alkej-56	129	36	�	�	PROPN
alkej-56	129	37	»	»	X
alkej-56	129	38	+	+	ADJ
alkej-56	129	39	¶d	¶d	PROPN
alkej-56	129	40	&	&	CCONJ
alkej-56	129	41	&	&	CCONJ
alkej-56	129	42	�	�	PROPN
alkej-56	129	43	d&-	d&-	PROPN
alkej-56	129	44	�	�	PROPN
alkej-56	129	45	d&	d&	PROPN
alkej-56	129	46	�	�	PROPN
alkej-56	129	47	�	�	PROPN
alkej-56	129	48	d&-	d&-	NUM
alkej-56	129	49	�	�	PROPN
alkej-56	129	50	d--	d--	NOUN
alkej-56	129	51	�	�	PROPN
alkej-56	129	52	d-	d-	SYM
alkej-56	129	53	�	�	PROPN
alkej-56	129	54	�	�	PROPN
alkej-56	129	55	d	d	PROPN
alkej-56	129	56	&	&	CCONJ
alkej-56	129	57	�	�	PROPN
alkej-56	129	58	�	�	PROPN
alkej-56	129	59	d-	d-	SYM
alkej-56	129	60	�	�	PROPN
alkej-56	129	61	�	�	PROPN
alkej-56	129	62	d	d	PROPN
alkej-56	129	63	�	�	PROPN
alkej-56	129	64	�	�	PROPN
alkej-56	129	65	�	�	PROPN
alkej-56	129	66	¸	¸	X
alkej-56	129	67	q	q	PROPN
alkej-56	129	68	t	t	PROPN
alkej-56	129	69	�	�	PROPN
alkej-56	129	70	t	t	PROPN
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alkej-56	129	72	�	�	PROPN
alkej-56	129	73	t	t	PROPN
alkej-56	129	74	"	"	PUNCT
alkej-56	129	75	�	�	PROPN
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alkej-56	129	77	ibtehal	ibtehal	PROPN
alkej-56	129	78	abbas	abbas	PROPN
alkej-56	129	79	sadiq	sadiq	PROPN
alkej-56	129	80	al	al	PROPN
alkej-56	129	81	-	-	PUNCT
alkej-56	129	82	khwarizmi	khwarizmi	PROPN
alkej-56	129	83	engineering	engineering	NOUN
alkej-56	129	84	journal	journal	PROPN
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alkej-56	129	93	,	,	PUNCT
alkej-56	129	94	p.p	p.p	PROPN
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alkej-56	129	96	3444	3444	NUM
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alkej-56	129	98	2018	2018	NUM
alkej-56	129	99	)	)	PUNCT
alkej-56	129	100	38	38	NUM
alkej-56	129	101	q	q	PROPN
alkej-56	129	102	�	�	PROPN
alkej-56	129	103	�	�	PROPN
alkej-56	129	104	�	�	PROPN
alkej-56	129	105	"	"	PUNCT
alkej-56	129	106	�	�	PROPN
alkej-56	129	107	�	�	PROPN
alkej-56	129	108	"	"	PUNCT
alkej-56	129	109	�	�	PROPN
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alkej-56	129	112	¶b	¶b	PROPN
alkej-56	129	113	&	&	CCONJ
alkej-56	129	114	&	&	CCONJ
alkej-56	129	115	�	�	PROPN
alkej-56	129	116	b&-	b&-	PROPN
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alkej-56	129	120	�	�	PROPN
alkej-56	129	121	b&-	b&-	PROPN
alkej-56	129	122	�	�	PROPN
alkej-56	129	123	b--	b--	X
alkej-56	129	124	�	�	PROPN
alkej-56	129	125	b-	b-	NOUN
alkej-56	129	126	�	�	PROPN
alkej-56	129	127	�	�	PROPN
alkej-56	129	128	b	b	PROPN
alkej-56	129	129	&	&	CCONJ
alkej-56	129	130	�	�	PROPN
alkej-56	129	131	�	�	PROPN
alkej-56	129	132	b-	b-	NOUN
alkej-56	129	133	�	�	PROPN
alkej-56	129	134	�	�	PROPN
alkej-56	129	135	b	b	PROPN
alkej-56	129	136	�	�	PROPN
alkej-56	129	137	�	�	PROPN
alkej-56	129	138	�	�	PROPN
alkej-56	129	139	¸	¸	X
alkej-56	129	140	q	q	X
alkej-56	129	141	ε	ε	PROPN
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alkej-56	129	143	rεb	rεb	PROPN
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alkej-56	129	145	γ	γ	X
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alkej-56	129	148	s	s	PART
alkej-56	129	149	+	+	NUM
alkej-56	129	150	¶d	¶d	PROPN
alkej-56	129	151	&	&	CCONJ
alkej-56	129	152	&	&	CCONJ
alkej-56	129	153	�	�	PROPN
alkej-56	129	154	d&-	d&-	PROPN
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alkej-56	129	156	d&	d&	PROPN
alkej-56	129	157	�	�	PROPN
alkej-56	129	158	�	�	PROPN
alkej-56	129	159	d&-	d&-	NUM
alkej-56	129	160	�	�	PROPN
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alkej-56	129	167	&	&	CCONJ
alkej-56	129	168	�	�	PROPN
alkej-56	129	169	�	�	PROPN
alkej-56	129	170	d-	d-	SYM
alkej-56	129	171	�	�	PROPN
alkej-56	129	172	�	�	PROPN
alkej-56	129	173	d	d	PROPN
alkej-56	129	174	�	�	PROPN
alkej-56	129	175	�	�	PROPN
alkej-56	129	176	�	�	PROPN
alkej-56	129	177	¸	¸	X
alkej-56	129	178	º	º	X
alkej-56	129	179	k<	k<	PROPN
alkej-56	129	180	�	�	PROPN
alkej-56	129	181	kb	kb	PROPN
alkej-56	129	182	�	�	PROPN
alkej-56	129	183	k	k	PROPN
alkej-56	129	184	<	<	PROPN
alkej-56	129	185	b	b	X
alkej-56	129	186	�	�	PROPN
alkej-56	129	187	»	»	X
alkej-56	129	188	+	+	NUM
alkej-56	129	189	¶h	¶h	NOUN
alkej-56	129	190	&	&	CCONJ
alkej-56	129	191	&	&	CCONJ
alkej-56	129	192	�	�	PROPN
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alkej-56	129	196	�	�	PROPN
alkej-56	129	197	�	�	PROPN
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alkej-56	129	200	h--	h--	PRON
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alkej-56	129	203	�	�	PROPN
alkej-56	129	204	�	�	PROPN
alkej-56	129	205	h	h	PROPN
alkej-56	129	206	&	&	CCONJ
alkej-56	129	207	�	�	PROPN
alkej-56	129	208	�	�	PROPN
alkej-56	129	209	h-	h-	PROPN
alkej-56	129	210	�	�	PROPN
alkej-56	129	211	�	�	PROPN
alkej-56	129	212	h	h	PROPN
alkej-56	129	213	�	�	PROPN
alkej-56	129	214	�	�	PROPN
alkej-56	129	215	�	�	PROPN
alkej-56	129	216	¸	¸	X
alkej-56	129	217	q	q	X
alkej-56	129	218	k<	k<	PROPN
alkej-56	129	219	�	�	PROPN
alkej-56	129	220	kb	kb	PROPN
alkej-56	129	221	�	�	PROPN
alkej-56	129	222	k	k	PROPN
alkej-56	129	223	<	<	PROPN
alkej-56	129	224	b	b	X
alkej-56	129	225	�	�	PROPN
alkej-56	129	226	s	s	PART
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alkej-56	129	229	"	"	PUNCT
alkej-56	129	230	!	!	PUNCT
alkej-56	129	231	�	�	PROPN
alkej-56	129	232	�	�	PROPN
alkej-56	129	233	!	!	PUNCT
alkej-56	129	234	�	�	PROPN
alkej-56	130	1	y	y	PROPN
alkej-56	130	2	=	=	PUNCT
alkej-56	130	3	%	%	NOUN
alkej-56	130	4	½	½	NOUN
alkej-56	130	5	''	''	PUNCT
alkej-56	130	6	½')½	½')½	VERB
alkej-56	130	7	'	'	PUNCT
alkej-56	130	8	)	)	PUNCT
alkej-56	130	9	½	½	NOUN
alkej-56	130	10	)	)	PUNCT
alkej-56	130	11	)	)	PUNCT
alkej-56	130	12	.	.	PUNCT
alkej-56	131	1	x	x	X
alkej-56	131	2	�	�	PROPN
alkej-56	131	3	"	"	PUNCT
alkej-56	131	4	!	!	PUNCT
alkej-56	131	5	�	�	PROPN
alkej-56	131	6	�	�	PROPN
alkej-56	131	7	!	!	PUNCT
alkej-56	132	1	�	�	PROPN
alkej-56	132	2	y	y	PROPN
alkej-56	132	3	+	+	CCONJ
alkej-56	132	4	%	%	NOUN
alkej-56	132	5	½	½	NOUN
alkej-56	132	6	''	''	PUNCT
alkej-56	132	7	�	�	PROPN
alkej-56	132	8	½')	½')	PROPN
alkej-56	132	9	�	�	PROPN
alkej-56	132	10	½	½	NOUN
alkej-56	132	11	'	'	PUNCT
alkej-56	132	12	)	)	PUNCT
alkej-56	132	13	�	�	PROPN
alkej-56	132	14	½	½	PROPN
alkej-56	132	15	)	)	PUNCT
alkej-56	132	16	)	)	PUNCT
alkej-56	132	17	�	�	PROPN
alkej-56	132	18	.	.	PUNCT
alkej-56	133	1	x	x	X
alkej-56	133	2	�	�	PROPN
alkej-56	133	3	"	"	PUNCT
alkej-56	133	4	!	!	PUNCT
alkej-56	134	1	�	�	PROPN
alkej-56	134	2	�	�	PROPN
alkej-56	134	3	!	!	PUNCT
alkej-56	134	4	�	�	PROPN
alkej-56	135	1	y	y	PROPN
alkej-56	135	2	x	x	PROPN
alkej-56	135	3	�	�	PROPN
alkej-56	135	4	"	"	PUNCT
alkej-56	135	5	!	!	PUNCT
alkej-56	136	1	�	�	PROPN
alkej-56	136	2	�	�	PROPN
alkej-56	136	3	!	!	PUNCT
alkej-56	136	4	�	�	PROPN
alkej-56	137	1	y	y	PROPN
alkej-56	137	2	=	=	PUNCT
alkej-56	137	3	%	%	NOUN
alkej-56	137	4	½	½	NOUN
alkej-56	137	5	''	''	PUNCT
alkej-56	137	6	�	�	PROPN
alkej-56	137	7	½')	½')	PROPN
alkej-56	137	8	�	�	PROPN
alkej-56	137	9	½	½	NOUN
alkej-56	137	10	'	'	PUNCT
alkej-56	137	11	)	)	PUNCT
alkej-56	137	12	�	�	PROPN
alkej-56	137	13	½	½	PROPN
alkej-56	137	14	)	)	PUNCT
alkej-56	137	15	)	)	PUNCT
alkej-56	137	16	�	�	PROPN
alkej-56	137	17	.	.	PUNCT
alkej-56	138	1	x	x	X
alkej-56	138	2	�	�	PROPN
alkej-56	138	3	"	"	PUNCT
alkej-56	138	4	!	!	PUNCT
alkej-56	138	5	�	�	PROPN
alkej-56	138	6	�	�	PROPN
alkej-56	138	7	!	!	PUNCT
alkej-56	139	1	�	�	PROPN
alkej-56	139	2	y	y	PROPN
alkej-56	139	3	+	+	CCONJ
alkej-56	139	4	%	%	NOUN
alkej-56	139	5	½	½	NOUN
alkej-56	139	6	''	''	PUNCT
alkej-56	139	7	�	�	PROPN
alkej-56	139	8	½')	½')	PROPN
alkej-56	139	9	�	�	PROPN
alkej-56	139	10	½	½	NOUN
alkej-56	139	11	'	'	PUNCT
alkej-56	139	12	)	)	PUNCT
alkej-56	139	13	�	�	PROPN
alkej-56	139	14	½	½	PROPN
alkej-56	139	15	)	)	PUNCT
alkej-56	139	16	)	)	PUNCT
alkej-56	139	17	�	�	PROPN
alkej-56	139	18	.	.	PUNCT
alkej-56	140	1	x	x	X
alkej-56	140	2	�	�	PROPN
alkej-56	140	3	"	"	PUNCT
alkej-56	140	4	!	!	PUNCT
alkej-56	141	1	�	�	PROPN
alkej-56	141	2	�	�	PROPN
alkej-56	141	3	!	!	PUNCT
alkej-56	141	4	�	�	PROPN
alkej-56	142	1	y	y	PROPN
alkej-56	142	2	…	…	SYM
alkej-56	142	3	�	�	PROPN
alkej-56	142	4	16	16	NUM
alkej-56	142	5	�	�	PROPN
alkej-56	142	6	where	where	SCONJ
alkej-56	142	7	:	:	PUNCT
alkej-56	143	1	+	+	ADP
alkej-56	143	2	a	a	DET
alkej-56	143	3	¿	¿	ADJ
alkej-56	143	4	à	à	X
alkej-56	143	5	‚	‚	X
alkej-56	143	6	b	b	X
alkej-56	143	7	¿	¿	X
alkej-56	143	8	à	à	X
alkej-56	143	9	‚	‚	X
alkej-56	143	10	d	d	X
alkej-56	143	11	¿	¿	X
alkej-56	143	12	à	à	X
alkej-56	143	13	‚	‚	X
alkej-56	143	14	b	b	X
alkej-56	143	15	¿	¿	PROPN
alkej-56	143	16	à	à	X
alkej-56	143	17	�	�	PROPN
alkej-56	143	18	‚	‚	PROPN
alkej-56	143	19	d	d	X
alkej-56	143	20	¿	¿	PROPN
alkej-56	143	21	à	à	X
alkej-56	143	22	�	�	PROPN
alkej-56	143	23	‚	‚	PROPN
alkej-56	143	24	h	h	PROPN
alkej-56	143	25	¿	¿	PROPN
alkej-56	143	26	à	à	X
alkej-56	143	27	�	�	PROPN
alkej-56	143	28	,	,	PUNCT
alkej-56	143	29	=	=	SYM
alkej-56	143	30	�	�	PROPN
alkej-56	143	31	qá	qá	CCONJ
alkej-56	143	32	¿	¿	PROPN
alkej-56	143	33	à	à	X
alkej-56	143	34	�	�	PROPN
alkej-56	143	35	n	n	CCONJ
alkej-56	143	36	�	�	PROPN
alkej-56	143	37	�	�	PROPN
alkej-56	143	38	1	1	NUM
alkej-56	143	39	‚	‚	PROPN
alkej-56	143	40	z	z	NOUN
alkej-56	143	41	‚	‚	NOUN
alkej-56	143	42	z-	z-	NUM
alkej-56	143	43	‚	‚	NUM
alkej-56	143	44	f	f	PROPN
alkej-56	143	45	�	�	PROPN
alkej-56	143	46	z	z	PROPN
alkej-56	143	47	�	�	PROPN
alkej-56	143	48	‚	‚	PROPN
alkej-56	143	49	z	z	X
alkej-56	143	50	f	f	X
alkej-56	143	51	�	�	PROPN
alkej-56	143	52	z	z	PROPN
alkej-56	143	53	�	�	PROPN
alkej-56	143	54	‚	‚	NOUN
alkej-56	143	55	[	[	X
alkej-56	143	56	f	f	X
alkej-56	143	57	�	�	PROPN
alkej-56	143	58	z	z	PROPN
alkej-56	143	59	�	�	PROPN
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alkej-56	143	61	�	�	PROPN
alkej-56	143	62	dz	dz	VERB
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alkej-56	143	65	’s	’s	PART
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alkej-56	143	71	motion	motion	NOUN
alkej-56	143	72	(	(	PUNCT
alkej-56	143	73	15	15	NUM
alkej-56	143	74	-	-	SYM
alkej-56	143	75	16	16	NUM
alkej-56	143	76	)	)	PUNCT
alkej-56	143	77	,	,	PUNCT
alkej-56	143	78	navier	navier	NOUN
alkej-56	143	79	’s	’s	PART
alkej-56	143	80	generalized	generalized	ADJ
alkej-56	143	81	displacements	displacement	NOUN
alkej-56	143	82	are	be	AUX
alkej-56	143	83	used	use	VERB
alkej-56	143	84	which	which	PRON
alkej-56	143	85	satisfy	satisfy	VERB
alkej-56	143	86	the	the	DET
alkej-56	143	87	boundary	boundary	ADJ
alkej-56	143	88	conditions	condition	NOUN
alkej-56	143	89	of	of	ADP
alkej-56	143	90	the	the	DET
alkej-56	143	91	problem	problem	NOUN
alkej-56	143	92	as	as	SCONJ
alkej-56	143	93	shown	show	VERB
alkej-56	143	94	in	in	ADP
alkej-56	143	95	fig.2	fig.2	PROPN
alkej-56	143	96	,	,	PUNCT
alkej-56	143	97	therefore	therefore	ADV
alkej-56	143	98	simply	simply	ADV
alkej-56	143	99	supported	support	VERB
alkej-56	143	100	boundary	boundary	ADJ
alkej-56	143	101	conditions	condition	NOUN
alkej-56	143	102	are	be	AUX
alkej-56	143	103	satisfied	satisfied	ADJ
alkej-56	143	104	by	by	ADP
alkej-56	143	105	assuming	assume	VERB
alkej-56	143	106	the	the	DET
alkej-56	143	107	following	follow	VERB
alkej-56	143	108	form	form	NOUN
alkej-56	143	109	of	of	ADP
alkej-56	143	110	displacements	displacement	NOUN
alkej-56	143	111	:	:	PUNCT
alkej-56	143	112	reddy	reddy	PROPN
alkej-56	143	113	[	[	PUNCT
alkej-56	143	114	9	9	NUM
alkej-56	143	115	]	]	SYM
alkej-56	143	116	u	u	NOUN
alkej-56	143	117	=	=	PUNCT
alkej-56	143	118	∑	∑	PROPN
alkej-56	143	119	∑	∑	PROPN
alkej-56	143	120	uâã	uâã	PROPN
alkej-56	143	121	äã	äã	PROPN
alkej-56	143	122	�	�	PROPN
alkej-56	143	123	&äâ	&äâ	PROPN
alkej-56	143	124	�	�	PROPN
alkej-56	143	125	&	&	CCONJ
alkej-56	143	126	cosαx	cosαx	PROPN
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alkej-56	143	128	βy	βy	PRON
alkej-56	143	129	v	v	NOUN
alkej-56	143	130	=	=	SYM
alkej-56	143	131	∑	∑	PROPN
alkej-56	143	132	∑	∑	PROPN
alkej-56	143	133	vâã	vâã	ADJ
alkej-56	143	134	sin	sin	NOUN
alkej-56	143	135	αxäã	αxäã	NOUN
alkej-56	143	136	�	�	PROPN
alkej-56	143	137	&äâ	&äâ	PROPN
alkej-56	143	138	�	�	PROPN
alkej-56	143	139	&	&	CCONJ
alkej-56	143	140	cos	cos	PROPN
alkej-56	143	141	βy	βy	PROPN
alkej-56	143	142	w	w	PROPN
alkej-56	143	143	�	�	PROPN
alkej-56	143	144	�	�	PROPN
alkej-56	143	145	=	=	SYM
alkej-56	143	146	∑	∑	PROPN
alkej-56	143	147	∑	∑	PROPN
alkej-56	143	148	w	w	PROPN
alkej-56	143	149	�	�	PROPN
alkej-56	143	150	�	�	NOUN
alkej-56	143	151	âã	âã	ADP
alkej-56	143	152	sin	sin	NOUN
alkej-56	143	153	αxäã	αxäã	NOUN
alkej-56	143	154	�	�	PROPN
alkej-56	143	155	&äâ	&äâ	PROPN
alkej-56	143	156	�	�	PROPN
alkej-56	143	157	&	&	CCONJ
alkej-56	143	158	sin	sin	PROPN
alkej-56	143	159	βy	βy	ADP
alkej-56	143	160	w	w	PROPN
alkej-56	143	161	�	�	PROPN
alkej-56	143	162	�	�	PROPN
alkej-56	143	163	=	=	SYM
alkej-56	143	164	∑	∑	PROPN
alkej-56	143	165	∑	∑	PROPN
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alkej-56	143	167	�	�	PROPN
alkej-56	143	168	�	�	NOUN
alkej-56	143	169	âã	âã	ADP
alkej-56	143	170	sin	sin	NOUN
alkej-56	143	171	αxäã	αxäã	NOUN
alkej-56	143	172	�	�	PROPN
alkej-56	143	173	&äâ	&äâ	PROPN
alkej-56	143	174	�	�	PROPN
alkej-56	143	175	&	&	CCONJ
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alkej-56	143	177	βy	βy	ADP
alkej-56	143	178	w	w	PROPN
alkej-56	143	179	�	�	PROPN
alkej-56	143	180	=	=	SYM
alkej-56	143	181	∑	∑	PROPN
alkej-56	143	182	∑	∑	PROPN
alkej-56	143	183	w	w	PROPN
alkej-56	143	184	�	�	PROPN
alkej-56	143	185	âã	âã	ADP
alkej-56	143	186	sin	sin	NOUN
alkej-56	143	187	αxäã	αxäã	NOUN
alkej-56	143	188	�	�	PROPN
alkej-56	143	189	&äâ	&äâ	PROPN
alkej-56	143	190	�	�	PROPN
alkej-56	143	191	&	&	CCONJ
alkej-56	143	192	sin	sin	NOUN
alkej-56	143	193	βy	βy	X
alkej-56	143	194	…	…	PUNCT
alkej-56	143	195	(	(	PUNCT
alkej-56	143	196	17	17	NUM
alkej-56	143	197	)	)	PUNCT
alkej-56	143	198	where	where	SCONJ
alkej-56	143	199	:	:	PUNCT
alkej-56	143	200	α	α	X
alkej-56	143	201	=	=	PUNCT
alkej-56	143	202	â	â	PROPN
alkej-56	143	203	ë	ë	PROPN
alkej-56	143	204	�	�	PROPN
alkej-56	143	205	,	,	PUNCT
alkej-56	143	206	β	β	X
alkej-56	143	207	=	=	PUNCT
alkej-56	144	1	ã	ã	X
alkej-56	144	2	ë	ë	X
alkej-56	144	3	�	�	PROPN
alkej-56	144	4	and	and	CCONJ
alkej-56	144	5	(	(	PUNCT
alkej-56	144	6	uâã	uâã	PROPN
alkej-56	144	7	vâã	vâã	PROPN
alkej-56	144	8	w	w	PROPN
alkej-56	144	9	�	�	PROPN
alkej-56	144	10	�	�	PROPN
alkej-56	144	11	âã	âã	PROPN
alkej-56	144	12	w	w	PROPN
alkej-56	144	13	�	�	PROPN
alkej-56	144	14	�	�	PROPN
alkej-56	144	15	âã	âã	PROPN
alkej-56	144	16	w	w	PROPN
alkej-56	144	17	�	�	PROPN
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alkej-56	144	19	�	�	NOUN
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alkej-56	144	21	arbitrary	arbitrary	ADJ
alkej-56	144	22	constants	constant	NOUN
alkej-56	144	23	.	.	PUNCT
alkej-56	145	1	the	the	DET
alkej-56	145	2	following	follow	VERB
alkej-56	145	3	stiffnesses	stiffness	NOUN
alkej-56	145	4	are	be	AUX
alkej-56	145	5	zero	zero	NUM
alkej-56	145	6	if	if	SCONJ
alkej-56	145	7	the	the	DET
alkej-56	145	8	navier	navier	NOUN
alkej-56	145	9	solution	solution	NOUN
alkej-56	145	10	exists	exist	VERB
alkej-56	145	11	,	,	PUNCT
alkej-56	145	12	a	a	DET
alkej-56	145	13	&	&	CCONJ
alkej-56	145	14	�	�	PROPN
alkej-56	145	15	=	=	SYM
alkej-56	145	16	a-	a-	NUM
alkej-56	145	17	�	�	PROPN
alkej-56	145	18	=	=	SYM
alkej-56	145	19	d	d	PROPN
alkej-56	145	20	&	&	CCONJ
alkej-56	145	21	�	�	PROPN
alkej-56	145	22	=	=	SYM
alkej-56	145	23	d-	d-	X
alkej-56	145	24	�	�	PROPN
alkej-56	145	25	=	=	SYM
alkej-56	145	26	ì	ì	PROPN
alkej-56	145	27	&	&	CCONJ
alkej-56	145	28	�	�	PROPN
alkej-56	145	29	�	�	PROPN
alkej-56	145	30	=	=	SYM
alkej-56	145	31	í	í	PROPN
alkej-56	145	32	&	&	CCONJ
alkej-56	145	33	�	�	PROPN
alkej-56	145	34	�	�	PROPN
alkej-56	145	35	=	=	SYM
alkej-56	145	36	í-	í-	NUM
alkej-56	145	37	�	�	PROPN
alkej-56	145	38	�	�	PROPN
alkej-56	145	39	=	=	SYM
alkej-56	145	40	0	0	NUM
alkej-56	145	41	·	·	PUNCT
alkej-56	145	42	&	&	CCONJ
alkej-56	145	43	=	=	SYM
alkej-56	145	44	·	·	PROPN
alkej-56	145	45	&	&	CCONJ
alkej-56	145	46	�	�	PROPN
alkej-56	145	47	=	=	SYM
alkej-56	145	48	·	·	PUNCT
alkej-56	145	49	-	-	PUNCT
alkej-56	145	50	�	�	PROPN
alkej-56	145	51	=	=	SYM
alkej-56	145	52	·	·	SYM
alkej-56	145	53	�	�	PROPN
alkej-56	145	54	�	�	PROPN
alkej-56	145	55	=	=	SYM
alkej-56	145	56	·	·	PUNCT
alkej-56	145	57	&	&	CCONJ
alkej-56	145	58	-	-	PUNCT
alkej-56	145	59	�	�	PROPN
alkej-56	145	60	=	=	SYM
alkej-56	145	61	·	·	PROPN
alkej-56	145	62	&	&	CCONJ
alkej-56	145	63	�	�	PROPN
alkej-56	145	64	�	�	PROPN
alkej-56	145	65	=	=	SYM
alkej-56	145	66	·	·	PUNCT
alkej-56	145	67	-	-	PUNCT
alkej-56	145	68	�	�	PROPN
alkej-56	145	69	�	�	PROPN
alkej-56	145	70	=	=	SYM
alkej-56	145	71	·	·	SYM
alkej-56	145	72	�	�	PROPN
alkej-56	145	73	�	�	PROPN
alkej-56	145	74	�	�	PROPN
alkej-56	145	75	=	=	SYM
alkej-56	145	76	0	0	NUM
alkej-56	145	77	½	½	NOUN
alkej-56	145	78	'	'	PUNCT
alkej-56	145	79	)	)	PUNCT
alkej-56	145	80	=	=	SYM
alkej-56	145	81	½	½	PROPN
alkej-56	145	82	'	'	PUNCT
alkej-56	145	83	)	)	PUNCT
alkej-56	145	84	�	�	PROPN
alkej-56	145	85	=	=	SYM
alkej-56	145	86	½	½	PROPN
alkej-56	145	87	'	'	PUNCT
alkej-56	145	88	)	)	PUNCT
alkej-56	145	89	�	�	PROPN
alkej-56	145	90	=	=	SYM
alkej-56	145	91	0	0	NUM
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alkej-56	145	93	.	.	PUNCT
alkej-56	146	1	2	2	NUM
alkej-56	146	2	.	.	X
alkej-56	146	3	boundary	boundary	ADJ
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alkej-56	146	6	simply	simply	ADV
alkej-56	146	7	supported	support	VERB
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alkej-56	146	9	.	.	PUNCT
alkej-56	147	1	2.5	2.5	NUM
alkej-56	147	2	vibration	vibration	NOUN
alkej-56	147	3	analysis	analysis	NOUN
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alkej-56	147	9	matrix	matrix	NOUN
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alkej-56	147	14	equations	equation	NOUN
alkej-56	147	15	,	,	PUNCT
alkej-56	147	16	when	when	SCONJ
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alkej-56	147	29	equation	equation	NOUN
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alkej-56	147	44	.	.	PUNCT
alkej-56	148	1	⎣⎢⎢	⎣⎢⎢	PROPN
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alkej-56	148	7	-	-	PUNCT
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alkej-56	148	9	&	&	CCONJ
alkej-56	148	10	*	*	PROPN
alkej-56	149	1	s-	s-	PROPN
alkej-56	150	1	*	*	PUNCT
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alkej-56	150	7	'	'	PUNCT
alkej-56	150	8	0s-	0s-	NUM
alkej-56	150	9	'	'	PART
alkej-56	150	10	0s	0s	NOUN
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alkej-56	150	14	&	&	CCONJ
alkej-56	150	15	'	'	PUNCT
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alkej-56	150	17	'	'	PUNCT
alkej-56	150	18	s*'0	s*'0	NOUN
alkej-56	150	19	0	0	NUM
alkej-56	150	20	0	0	NUM
alkej-56	150	21	s	s	X
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alkej-56	150	24	'	'	PUNCT
alkej-56	150	25	)	)	PUNCT
alkej-56	150	26	s))⎦⎥⎥	s))⎦⎥⎥	PROPN
alkej-56	151	1	⎥⎤	⎥⎤	PRON
alkej-56	151	2	⎩⎪⎨	⎩⎪⎨	PROPN
alkej-56	151	3	⎪⎧	⎪⎧	PROPN
alkej-56	151	4	uâã	uâã	PROPN
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alkej-56	152	3	âã	âã	PROPN
alkej-56	152	4	w	w	PROPN
alkej-56	152	5	�	�	PROPN
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alkej-56	152	11	⎪⎫	⎪⎫	VERB
alkej-56	152	12	+	+	CCONJ
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alkej-56	152	17	0	0	NUM
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alkej-56	153	2	0	0	NUM
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alkej-56	154	4	0	0	NUM
alkej-56	154	5	00	00	NUM
alkej-56	154	6	0	0	NUM
alkej-56	154	7	m	m	NOUN
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alkej-56	154	11	0	0	NUM
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alkej-56	154	13	0	0	NUM
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alkej-56	154	17	m	m	PROPN
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alkej-56	155	1	⎥⎤	⎥⎤	PROPN
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alkej-56	155	3	⎪⎧	⎪⎧	PROPN
alkej-56	155	4	u¢	u¢	PROPN
alkej-56	155	5	âãv¢âãw¢	âãv¢âãw¢	PROPN
alkej-56	155	6	�	�	PROPN
alkej-56	155	7	�	�	NOUN
alkej-56	155	8	âãw¢	âãw¢	NUM
alkej-56	155	9	�	�	NOUN
alkej-56	155	10	�	�	NOUN
alkej-56	155	11	âãw¢	âãw¢	NUM
alkej-56	155	12	�	�	NOUN
alkej-56	155	13	âã	âã	ADP
alkej-56	155	14	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	155	15	⎪⎫	⎪⎫	NOUN
alkej-56	155	16	=	=	SYM
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alkej-56	155	20	|[s	|[s	VERB
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alkej-56	155	22	−	−	PROPN
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alkej-56	155	25	=	=	NOUN
alkej-56	155	26	0	0	NUM
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alkej-56	155	35	=	=	SYM
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alkej-56	155	37	matrix	matrix	NOUN
alkej-56	155	38	.	.	PUNCT
alkej-56	156	1	2.6	2.6	NUM
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alkej-56	156	15	-	-	PUNCT
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alkej-56	156	18	ibtehal	ibtehal	PROPN
alkej-56	156	19	abbas	abbas	PROPN
alkej-56	156	20	sadiq	sadiq	PROPN
alkej-56	156	21	al	al	PROPN
alkej-56	156	22	-	-	PUNCT
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alkej-56	156	25	journal	journal	PROPN
alkej-56	156	26	,	,	PUNCT
alkej-56	156	27	vol	vol	NOUN
alkej-56	156	28	.	.	PROPN
alkej-56	157	1	14	14	NUM
alkej-56	157	2	,	,	PUNCT
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alkej-56	157	5	4	4	NUM
alkej-56	157	6	,	,	PUNCT
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alkej-56	157	8	.	.	NOUN
alkej-56	157	9	3444	3444	NUM
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alkej-56	158	1	39	39	NUM
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alkej-56	158	4	=	=	SYM
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alkej-56	158	8	=	=	PUNCT
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alkej-56	158	10	‚	‚	X
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alkej-56	158	12	=	=	SYM
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alkej-56	158	16	‚	‚	NOUN
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alkej-56	158	20	=	=	SYM
alkej-56	158	21	0	0	NUM
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alkej-56	158	26	&	&	CCONJ
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alkej-56	158	29	ó&*ó&ó-	ó&*ó&ó-	PROPN
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alkej-56	158	38	−	−	PROPN
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alkej-56	158	42	�	�	PROPN
alkej-56	158	43	õ-	õ-	X
alkej-56	158	44	�	�	PROPN
alkej-56	158	45	ó	ó	PROPN
alkej-56	158	46	&	&	CCONJ
alkej-56	158	47	'	'	PUNCT
alkej-56	158	48	0ó-	0ó-	NUM
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alkej-56	158	50	0	0	NUM
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alkej-56	158	54	−	−	PROPN
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alkej-56	158	74	'	'	PUNCT
alkej-56	158	75	−	−	PROPN
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alkej-56	158	80	õ-	õ-	X
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alkej-56	158	88	õ-	õ-	X
alkej-56	158	89	�	�	PROPN
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alkej-56	158	92	−	−	PROPN
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alkej-56	158	96	�	�	PROPN
alkej-56	158	97	õ-	õ-	X
alkej-56	158	98	�	�	PROPN
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alkej-56	158	102	−	−	ADP
alkej-56	159	1	yr	yr	NOUN
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alkej-56	160	1	−	−	ADP
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alkej-56	160	9	)	)	PUNCT
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alkej-56	160	11	−	−	ADP
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alkej-56	161	9	∗	∗	NOUN
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alkej-56	162	9	)	)	PUNCT
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alkej-56	162	12	to	to	PART
alkej-56	162	13	present	present	VERB
alkej-56	162	14	the	the	DET
alkej-56	162	15	behavior	behavior	NOUN
alkej-56	162	16	of	of	ADP
alkej-56	162	17	the	the	DET
alkej-56	162	18	plate	plate	NOUN
alkej-56	162	19	and	and	CCONJ
alkej-56	162	20	its	its	PRON
alkej-56	162	21	frequency	frequency	NOUN
alkej-56	162	22	.	.	PUNCT
alkej-56	163	1	⎣⎢⎢	⎣⎢⎢	VERB
alkej-56	164	1	⎢⎢⎡	⎢⎢⎡	PROPN
alkej-56	164	2	ó	ó	PROPN
alkej-56	164	3	&	&	CCONJ
alkej-56	164	4	&	&	CCONJ
alkej-56	164	5	ó	ó	PROPN
alkej-56	164	6	&	&	CCONJ
alkej-56	164	7	ó&*ó&ó-	ó&*ó&ó-	PROPN
alkej-56	164	8	ó-*ó	ó-*ó	PROPN
alkej-56	164	9	&	&	CCONJ
alkej-56	164	10	*	*	PROPN
alkej-56	164	11	ó-	ó-	X
alkej-56	164	12	*	*	PUNCT
alkej-56	164	13	ó	ó	NOUN
alkej-56	164	14	*	*	PROPN
alkej-56	164	15	*	*	NOUN
alkej-56	164	16	−	−	PROPN
alkej-56	164	17	yr	yr	NOUN
alkej-56	164	18	�	�	PROPN
alkej-56	164	19	ô+	ô+	NOUN
alkej-56	164	20	�	�	PROPN
alkej-56	164	21	õ-	õ-	X
alkej-56	164	22	�	�	PROPN
alkej-56	164	23	ó	ó	PROPN
alkej-56	164	24	&	&	CCONJ
alkej-56	164	25	'	'	PUNCT
alkej-56	164	26	0ó-	0ó-	NUM
alkej-56	164	27	'	'	PUNCT
alkej-56	164	28	0	0	NUM
alkej-56	164	29	ó	ó	NOUN
alkej-56	164	30	*	*	NOUN
alkej-56	164	31	'	'	PUNCT
alkej-56	164	32	−	−	PROPN
alkej-56	164	33	yr	yr	NOUN
alkej-56	164	34	�	�	PROPN
alkej-56	164	35	ô+	ô+	NOUN
alkej-56	164	36	�	�	PROPN
alkej-56	164	37	õ-	õ-	X
alkej-56	164	38	�	�	PROPN
alkej-56	164	39	−yr	−yr	PROPN
alkej-56	164	40	�	�	PROPN
alkej-56	164	41	ô+	ô+	NOUN
alkej-56	164	42	�	�	PROPN
alkej-56	164	43	õ-	õ-	X
alkej-56	164	44	�	�	PROPN
alkej-56	164	45	ó	ó	PROPN
alkej-56	164	46	&	&	CCONJ
alkej-56	164	47	'	'	PUNCT
alkej-56	164	48	ó-	ó-	NOUN
alkej-56	164	49	'	'	PUNCT
alkej-56	164	50	ó	ó	NOUN
alkej-56	164	51	*	*	NOUN
alkej-56	164	52	'	'	PUNCT
alkej-56	164	53	−	−	PROPN
alkej-56	164	54	yr	yr	NOUN
alkej-56	164	55	�	�	PROPN
alkej-56	164	56	ô+	ô+	NOUN
alkej-56	164	57	�	�	PROPN
alkej-56	164	58	õ-	õ-	X
alkej-56	164	59	�	�	PROPN
alkej-56	164	60	0	0	NUM
alkej-56	164	61	0	0	NUM
alkej-56	164	62	−yr	−yr	PROPN
alkej-56	164	63	�	�	PROPN
alkej-56	164	64	ô+	ô+	NOUN
alkej-56	164	65	�	�	PROPN
alkej-56	164	66	õ-	õ-	X
alkej-56	164	67	�	�	PROPN
alkej-56	164	68	ó	ó	PROPN
alkej-56	164	69	''	''	PUNCT
alkej-56	164	70	−	−	PROPN
alkej-56	164	71	yr	yr	NOUN
alkej-56	164	72	�	�	PROPN
alkej-56	164	73	ô+	ô+	NOUN
alkej-56	164	74	�	�	PROPN
alkej-56	164	75	õ-	õ-	X
alkej-56	164	76	�	�	PROPN
alkej-56	164	77	ó	ó	NOUN
alkej-56	164	78	'	'	NOUN
alkej-56	164	79	)	)	PUNCT
alkej-56	164	80	−	−	ADP
alkej-56	165	1	yr	yr	NOUN
alkej-56	165	2	�	�	PROPN
alkej-56	165	3	ô+	ô+	NOUN
alkej-56	165	4	�	�	PROPN
alkej-56	165	5	õ-	õ-	X
alkej-56	165	6	�	�	PROPN
alkej-56	165	7	ó	ó	NOUN
alkej-56	165	8	'	'	NOUN
alkej-56	165	9	)	)	PUNCT
alkej-56	166	1	−	−	ADP
alkej-56	166	2	yr	yr	NOUN
alkej-56	166	3	�	�	PROPN
alkej-56	166	4	ô+	ô+	NOUN
alkej-56	166	5	�	�	PROPN
alkej-56	166	6	õ-	õ-	X
alkej-56	166	7	�	�	PROPN
alkej-56	166	8	ó	ó	PROPN
alkej-56	166	9	)	)	PUNCT
alkej-56	166	10	)	)	PUNCT
alkej-56	166	11	−	−	ADP
alkej-56	167	1	yr	yr	NOUN
alkej-56	167	2	�	�	PROPN
alkej-56	167	3	ô+	ô+	NOUN
alkej-56	167	4	�	�	PROPN
alkej-56	167	5	õ-	õ-	X
alkej-56	167	6	�	�	PROPN
alkej-56	167	7	⎦⎥⎥	⎦⎥⎥	PROPN
alkej-56	167	8	⎥⎥⎤	⎥⎥⎤	PROPN
alkej-56	167	9	⎩⎪⎨	⎩⎪⎨	PROPN
alkej-56	167	10	⎪⎧	⎪⎧	PROPN
alkej-56	167	11	uâã	uâã	PROPN
alkej-56	167	12	vâã	vâã	PROPN
alkej-56	167	13	w	w	PROPN
alkej-56	167	14	�	�	PROPN
alkej-56	167	15	�	�	PROPN
alkej-56	167	16	âã	âã	PROPN
alkej-56	167	17	w	w	PROPN
alkej-56	167	18	�	�	PROPN
alkej-56	167	19	�	�	PROPN
alkej-56	167	20	âã	âã	PROPN
alkej-56	167	21	w	w	PROPN
alkej-56	167	22	�	�	PROPN
alkej-56	167	23	âã	âã	ADP
alkej-56	167	24	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	167	25	⎪⎫	⎪⎫	VERB
alkej-56	167	26	+	+	CCONJ
alkej-56	167	27	⎣⎢⎢	⎣⎢⎢	PROPN
alkej-56	167	28	⎢⎡m	⎢⎡m	PROPN
alkej-56	167	29	&	&	CCONJ
alkej-56	167	30	&	&	CCONJ
alkej-56	167	31	0	0	NUM
alkej-56	167	32	00	00	NUM
alkej-56	167	33	m-00	m-00	NOUN
alkej-56	167	34	0	0	NUM
alkej-56	167	35	m	m	NOUN
alkej-56	167	36	*	*	PUNCT
alkej-56	167	37	*	*	PROPN
alkej-56	167	38	0	0	NUM
alkej-56	167	39	00	00	NUM
alkej-56	167	40	0	0	NUM
alkej-56	167	41	m	m	NOUN
alkej-56	167	42	*	*	NOUN
alkej-56	167	43	'	'	PART
alkej-56	167	44	m*)0	m*)0	NOUN
alkej-56	167	45	0	0	NUM
alkej-56	167	46	m*'0	m*'0	NOUN
alkej-56	167	47	0	0	NUM
alkej-56	167	48	m	m	PROPN
alkej-56	167	49	&	&	CCONJ
alkej-56	167	50	&	&	CCONJ
alkej-56	167	51	m	m	PROPN
alkej-56	167	52	''	''	PUNCT
alkej-56	167	53	m')m	m')m	PROPN
alkej-56	167	54	&	&	CCONJ
alkej-56	167	55	&	&	CCONJ
alkej-56	167	56	m))⎦⎥⎥	m))⎦⎥⎥	PROPN
alkej-56	167	57	⎥⎤	⎥⎤	PROPN
alkej-56	167	58	⎩⎪⎨	⎩⎪⎨	PROPN
alkej-56	167	59	⎪⎧	⎪⎧	PROPN
alkej-56	167	60	u¢	u¢	PROPN
alkej-56	167	61	âãv¢âãw¢	âãv¢âãw¢	PROPN
alkej-56	167	62	�	�	PROPN
alkej-56	167	63	�	�	NOUN
alkej-56	167	64	âãw¢	âãw¢	NUM
alkej-56	167	65	�	�	NOUN
alkej-56	167	66	�	�	NOUN
alkej-56	167	67	âãw¢	âãw¢	NUM
alkej-56	167	68	�	�	NOUN
alkej-56	167	69	âã	âã	ADP
alkej-56	167	70	⎭⎪⎬	⎭⎪⎬	PROPN
alkej-56	167	71	⎪⎫	⎪⎫	NOUN
alkej-56	167	72	=	=	SYM
alkej-56	167	73	⎩⎪⎨	⎩⎪⎨	PROPN
alkej-56	167	74	⎪⎧00000⎭⎪⎬	⎪⎧00000⎭⎪⎬	ADV
alkej-56	167	75	⎪⎫	⎪⎫	NOUN
alkej-56	167	76	3	3	NUM
alkej-56	167	77	.	.	NOUN
alkej-56	167	78	results	result	NOUN
alkej-56	167	79	and	and	CCONJ
alkej-56	167	80	discussion	discussion	NOUN
alkej-56	167	81	3.1	3.1	NUM
alkej-56	167	82	vibration	vibration	NOUN
alkej-56	167	83	and	and	CCONJ
alkej-56	167	84	buckling	buckling	NOUN
alkej-56	167	85	results	result	NOUN
alkej-56	167	86	the	the	DET
alkej-56	167	87	fundamental	fundamental	ADJ
alkej-56	167	88	natural	natural	ADJ
alkej-56	167	89	frequency	frequency	NOUN
alkej-56	167	90	and	and	CCONJ
alkej-56	167	91	critical	critical	ADJ
alkej-56	167	92	buckling	buckling	NOUN
alkej-56	167	93	for	for	ADP
alkej-56	167	94	cross	cross	ADJ
alkej-56	167	95	-	-	ADJ
alkej-56	167	96	ply	ply	ADJ
alkej-56	167	97	plate	plate	NOUN
alkej-56	167	98	with	with	ADP
alkej-56	167	99	different	different	ADJ
alkej-56	167	100	design	design	NOUN
alkej-56	167	101	parameters	parameter	NOUN
alkej-56	167	102	for	for	ADP
alkej-56	167	103	simply	simply	ADV
alkej-56	167	104	supported	support	VERB
alkej-56	167	105	boundary	boundary	ADJ
alkej-56	167	106	condition	condition	NOUN
alkej-56	167	107	,	,	PUNCT
alkej-56	167	108	is	be	AUX
alkej-56	167	109	analyzed	analyze	VERB
alkej-56	167	110	and	and	CCONJ
alkej-56	167	111	solved	solve	VERB
alkej-56	167	112	used	use	VERB
alkej-56	167	113	matlab	matlab	PROPN
alkej-56	167	114	programming	programming	NOUN
alkej-56	167	115	.	.	PUNCT
alkej-56	168	1	we	we	PRON
alkej-56	168	2	derive	derive	VERB
alkej-56	168	3	equation	equation	NOUN
alkej-56	168	4	of	of	ADP
alkej-56	168	5	motion	motion	NOUN
alkej-56	168	6	depending	depend	VERB
alkej-56	168	7	on	on	ADP
alkej-56	168	8	refined	refined	ADJ
alkej-56	168	9	plate	plate	NOUN
alkej-56	168	10	theory	theory	NOUN
alkej-56	168	11	using	use	VERB
alkej-56	168	12	navier	navier	NOUN
alkej-56	168	13	solution	solution	NOUN
alkej-56	168	14	to	to	PART
alkej-56	168	15	obtain	obtain	VERB
alkej-56	168	16	vibration	vibration	NOUN
alkej-56	168	17	characteristic	characteristic	NOUN
alkej-56	168	18	of	of	ADP
alkej-56	168	19	plate	plate	NOUN
alkej-56	168	20	under	under	ADP
alkej-56	168	21	initial	initial	ADJ
alkej-56	168	22	stress	stress	NOUN
alkej-56	168	23	.	.	PUNCT
alkej-56	169	1	to	to	PART
alkej-56	169	2	examine	examine	VERB
alkej-56	169	3	the	the	DET
alkej-56	169	4	validity	validity	NOUN
alkej-56	169	5	of	of	ADP
alkej-56	169	6	the	the	DET
alkej-56	169	7	derived	derive	VERB
alkej-56	169	8	equation	equation	NOUN
alkej-56	169	9	and	and	CCONJ
alkej-56	169	10	performance	performance	NOUN
alkej-56	169	11	of	of	ADP
alkej-56	169	12	computer	computer	NOUN
alkej-56	169	13	programming	programming	NOUN
alkej-56	169	14	for	for	ADP
alkej-56	169	15	vibration	vibration	NOUN
alkej-56	169	16	and	and	CCONJ
alkej-56	169	17	buckling	buckle	VERB
alkej-56	169	18	stress	stress	NOUN
alkej-56	169	19	of	of	ADP
alkej-56	169	20	cross	cross	ADJ
alkej-56	169	21	-	-	ADJ
alkej-56	169	22	ply	ply	ADJ
alkej-56	169	23	laminated	laminate	VERB
alkej-56	169	24	simply	simply	ADV
alkej-56	169	25	supported	support	VERB
alkej-56	169	26	plate	plate	NOUN
alkej-56	169	27	,	,	PUNCT
alkej-56	169	28	a	a	DET
alkej-56	169	29	comparison	comparison	NOUN
alkej-56	169	30	with	with	ADP
alkej-56	169	31	others	other	NOUN
alkej-56	169	32	researchers	researcher	NOUN
alkej-56	169	33	for	for	ADP
alkej-56	169	34	different	different	ADJ
alkej-56	169	35	layers	layer	NOUN
alkej-56	169	36	,	,	PUNCT
alkej-56	169	37	thickness	thickness	NOUN
alkej-56	169	38	ratio	ratio	NOUN
alkej-56	169	39	(	(	PUNCT
alkej-56	169	40	a	a	DET
alkej-56	169	41	/	/	SYM
alkej-56	169	42	h	h	NOUN
alkej-56	169	43	)	)	PUNCT
alkej-56	169	44	and	and	CCONJ
alkej-56	169	45	orthotropy	orthotropy	VERB
alkej-56	169	46	ratio	ratio	NOUN
alkej-56	169	47	(	(	PUNCT
alkej-56	169	48	e1	e1	PROPN
alkej-56	169	49	/	/	SYM
alkej-56	169	50	e2	e2	PROPN
alkej-56	169	51	)	)	PUNCT
alkej-56	169	52	.	.	PUNCT
alkej-56	170	1	the	the	DET
alkej-56	170	2	non	non	ADJ
alkej-56	170	3	-	-	ADJ
alkej-56	170	4	dimensional	dimensional	ADJ
alkej-56	170	5	natural	natural	ADJ
alkej-56	170	6	frequency	frequency	NOUN
alkej-56	170	7	of	of	ADP
alkej-56	170	8	antisymmetric	antisymmetric	ADJ
alkej-56	170	9	cross	cross	ADJ
alkej-56	170	10	-	-	ADJ
alkej-56	170	11	ply	ply	ADJ
alkej-56	170	12	two	two	NUM
alkej-56	170	13	,	,	PUNCT
alkej-56	170	14	four	four	NUM
alkej-56	170	15	,	,	PUNCT
alkej-56	170	16	six	six	NUM
alkej-56	170	17	and	and	CCONJ
alkej-56	170	18	ten	ten	NUM
alkej-56	170	19	layer	layer	NOUN
alkej-56	170	20	of	of	ADP
alkej-56	170	21	thick	thick	ADJ
alkej-56	170	22	plate	plate	NOUN
alkej-56	170	23	(	(	PUNCT
alkej-56	170	24	a	a	X
alkej-56	170	25	/	/	SYM
alkej-56	170	26	h=5	h=5	PROPN
alkej-56	170	27	)	)	PUNCT
alkej-56	170	28	as	as	ADP
alkej-56	170	29	a	a	DET
alkej-56	170	30	function	function	NOUN
alkej-56	170	31	of	of	ADP
alkej-56	170	32	orthotropy	orthotropy	NOUN
alkej-56	170	33	ratio	ratio	NOUN
alkej-56	170	34	(	(	PUNCT
alkej-56	170	35	e1	e1	PROPN
alkej-56	170	36	/	/	SYM
alkej-56	170	37	e2	e2	PROPN
alkej-56	170	38	)	)	PUNCT
alkej-56	170	39	shown	show	VERB
alkej-56	170	40	in	in	ADP
alkej-56	170	41	table	table	NOUN
alkej-56	170	42	(	(	PUNCT
alkej-56	170	43	1	1	NUM
alkej-56	170	44	)	)	PUNCT
alkej-56	170	45	for	for	ADP
alkej-56	170	46	the	the	DET
alkej-56	170	47	mechanical	mechanical	ADJ
alkej-56	170	48	properties	property	NOUN
alkej-56	170	49	[	[	X
alkej-56	170	50	«	«	PUNCT
alkej-56	170	51	&	&	NOUN
alkej-56	170	52	=	=	SYM
alkej-56	170	53	«	«	PUNCT
alkej-56	170	54	&	&	CCONJ
alkej-56	170	55	*	*	PUNCT
alkej-56	170	56	=	=	SYM
alkej-56	170	57	0.6	0.6	NUM
alkej-56	170	58	e	e	X
alkej-56	170	59	‚	‚	PRON
alkej-56	170	60	«	«	PUNCT
alkej-56	170	61	-	-	INTJ
alkej-56	170	62	*	*	PUNCT
alkej-56	170	63	=	=	NUM
alkej-56	170	64	0.5	0.5	NUM
alkej-56	170	65	e	e	NOUN
alkej-56	170	66	‚	‚	PROPN
alkej-56	170	67	�	�	PROPN
alkej-56	170	68	&	&	CCONJ
alkej-56	170	69	=	=	NOUN
alkej-56	170	70	0.25	0.25	NUM
alkej-56	170	71	]	]	PUNCT
alkej-56	170	72	while	while	SCONJ
alkej-56	170	73	table	table	NOUN
alkej-56	170	74	(	(	PUNCT
alkej-56	170	75	2	2	X
alkej-56	170	76	)	)	PUNCT
alkej-56	170	77	shows	show	VERB
alkej-56	170	78	the	the	DET
alkej-56	170	79	non	non	ADJ
alkej-56	170	80	-	-	ADJ
alkej-56	170	81	dimensional	dimensional	ADJ
alkej-56	170	82	fundamental	fundamental	ADJ
alkej-56	170	83	frequencies	frequency	NOUN
alkej-56	170	84	of	of	ADP
alkej-56	170	85	antisymmetric	antisymmetric	ADJ
alkej-56	170	86	square	square	ADJ
alkej-56	170	87	laminated	laminate	VERB
alkej-56	170	88	plate	plate	NOUN
alkej-56	170	89	for	for	ADP
alkej-56	170	90	various	various	ADJ
alkej-56	170	91	values	value	NOUN
alkej-56	170	92	of	of	ADP
alkej-56	170	93	thickness	thickness	NOUN
alkej-56	170	94	ratio	ratio	NOUN
alkej-56	170	95	and	and	CCONJ
alkej-56	170	96	modulus	modulus	ADJ
alkej-56	170	97	ratio	ratio	NOUN
alkej-56	170	98	(	(	PUNCT
alkej-56	170	99	e1	e1	NOUN
alkej-56	170	100	/	/	SYM
alkej-56	170	101	e2=40	e2=40	VERB
alkej-56	170	102	)	)	PUNCT
alkej-56	170	103	.	.	PUNCT
alkej-56	171	1	the	the	DET
alkej-56	171	2	natural	natural	ADJ
alkej-56	171	3	frequency	frequency	NOUN
alkej-56	171	4	shows	show	VERB
alkej-56	171	5	good	good	ADJ
alkej-56	171	6	agreement	agreement	NOUN
alkej-56	171	7	with	with	ADP
alkej-56	171	8	other	other	ADJ
alkej-56	171	9	researchers	researcher	NOUN
alkej-56	171	10	.	.	PUNCT
alkej-56	172	1	the	the	DET
alkej-56	172	2	present	present	ADJ
alkej-56	172	3	theory	theory	NOUN
alkej-56	172	4	is	be	AUX
alkej-56	172	5	also	also	ADV
alkej-56	172	6	close	close	ADJ
alkej-56	172	7	agreement	agreement	NOUN
alkej-56	172	8	with	with	ADP
alkej-56	172	9	other	other	ADJ
alkej-56	172	10	theory	theory	NOUN
alkej-56	172	11	for	for	ADP
alkej-56	172	12	critical	critical	ADJ
alkej-56	172	13	buckling	buckling	NOUN
alkej-56	172	14	as	as	SCONJ
alkej-56	172	15	shown	show	VERB
alkej-56	172	16	in	in	ADP
alkej-56	172	17	table	table	NOUN
alkej-56	172	18	(	(	PUNCT
alkej-56	172	19	3	3	NUM
alkej-56	172	20	)	)	PUNCT
alkej-56	172	21	which	which	PRON
alkej-56	172	22	compared	compare	VERB
alkej-56	172	23	with	with	ADP
alkej-56	172	24	[	[	X
alkej-56	172	25	2	2	NUM
alkej-56	172	26	]	]	PUNCT
alkej-56	172	27	for	for	ADP
alkej-56	172	28	non	non	ADJ
alkej-56	172	29	-	-	ADJ
alkej-56	172	30	dimensional	dimensional	ADJ
alkej-56	172	31	uniaxial	uniaxial	ADJ
alkej-56	172	32	buckling	buckling	NOUN
alkej-56	172	33	load	load	NOUN
alkej-56	172	34	of	of	ADP
alkej-56	172	35	simply	simply	ADV
alkej-56	172	36	supported	support	VERB
alkej-56	172	37	antisymmetric	antisymmetric	ADJ
alkej-56	172	38	layer	layer	NOUN
alkej-56	172	39	for	for	ADP
alkej-56	172	40	(	(	PUNCT
alkej-56	172	41	a	a	PRON
alkej-56	172	42	/	/	SYM
alkej-56	172	43	h=10	h=10	NOUN
alkej-56	172	44	)	)	PUNCT
alkej-56	172	45	,	,	PUNCT
alkej-56	172	46	while	while	SCONJ
alkej-56	172	47	table	table	NOUN
alkej-56	172	48	(	(	PUNCT
alkej-56	172	49	4	4	NUM
alkej-56	172	50	)	)	PUNCT
alkej-56	172	51	and	and	CCONJ
alkej-56	172	52	table	table	NOUN
alkej-56	172	53	(	(	PUNCT
alkej-56	172	54	5	5	NUM
alkej-56	172	55	)	)	PUNCT
alkej-56	172	56	are	be	AUX
alkej-56	172	57	compared	compare	VERB
alkej-56	172	58	with	with	ADP
alkej-56	172	59	[	[	X
alkej-56	172	60	9	9	NUM
alkej-56	172	61	]	]	PUNCT
alkej-56	172	62	which	which	PRON
alkej-56	172	63	show	show	VERB
alkej-56	172	64	the	the	DET
alkej-56	172	65	nondimensional	nondimensional	ADJ
alkej-56	172	66	uniaxial	uniaxial	ADJ
alkej-56	172	67	and	and	CCONJ
alkej-56	172	68	biaxial	biaxial	ADJ
alkej-56	172	69	buckling	buckling	NOUN
alkej-56	172	70	load	load	NOUN
alkej-56	172	71	of	of	ADP
alkej-56	172	72	simply	simply	ADV
alkej-56	172	73	supported	support	VERB
alkej-56	172	74	antisymmetric	antisymmetric	ADJ
alkej-56	172	75	cross	cross	NOUN
alkej-56	172	76	-	-	NOUN
alkej-56	172	77	ply	ply	NOUN
alkej-56	172	78	for	for	ADP
alkej-56	172	79	two	two	NUM
alkej-56	172	80	and	and	CCONJ
alkej-56	172	81	eight	eight	NUM
alkej-56	172	82	layers	layer	NOUN
alkej-56	172	83	for	for	ADP
alkej-56	172	84	various	various	ADJ
alkej-56	172	85	thickness	thickness	NOUN
alkej-56	172	86	ratio	ratio	NOUN
alkej-56	172	87	(	(	PUNCT
alkej-56	172	88	a	a	DET
alkej-56	172	89	/	/	SYM
alkej-56	172	90	h	h	NOUN
alkej-56	172	91	)	)	PUNCT
alkej-56	172	92	and	and	CCONJ
alkej-56	172	93	as	as	ADP
alkej-56	172	94	a	a	DET
alkej-56	172	95	function	function	NOUN
alkej-56	172	96	of	of	ADP
alkej-56	172	97	modulus	modulus	ADJ
alkej-56	172	98	ratios	ratio	NOUN
alkej-56	172	99	(	(	PUNCT
alkej-56	172	100	e1	e1	NOUN
alkej-56	172	101	/	/	SYM
alkej-56	172	102	e2	e2	PROPN
alkej-56	172	103	)	)	PUNCT
alkej-56	172	104	.	.	PUNCT
alkej-56	173	1	3.2	3.2	NUM
alkej-56	173	2	vibration	vibration	NOUN
alkej-56	173	3	of	of	ADP
alkej-56	173	4	plate	plate	NOUN
alkej-56	173	5	under	under	ADP
alkej-56	173	6	initial	initial	ADJ
alkej-56	173	7	stress	stress	NOUN
alkej-56	173	8	results	result	NOUN
alkej-56	173	9	vibration	vibration	VERB
alkej-56	173	10	analysis	analysis	NOUN
alkej-56	173	11	of	of	ADP
alkej-56	173	12	present	present	ADJ
alkej-56	173	13	work	work	NOUN
alkej-56	173	14	is	be	AUX
alkej-56	173	15	used	use	VERB
alkej-56	173	16	but	but	CCONJ
alkej-56	173	17	adding	add	VERB
alkej-56	173	18	initial	initial	ADJ
alkej-56	173	19	in	in	ADP
alkej-56	173	20	-	-	PUNCT
alkej-56	173	21	plane	plane	NOUN
alkej-56	173	22	stress	stress	NOUN
alkej-56	173	23	to	to	PART
alkej-56	173	24	investigate	investigate	VERB
alkej-56	173	25	the	the	DET
alkej-56	173	26	validity	validity	NOUN
alkej-56	173	27	of	of	ADP
alkej-56	173	28	refined	refined	ADJ
alkej-56	173	29	theory	theory	NOUN
alkej-56	173	30	for	for	ADP
alkej-56	173	31	such	such	ADJ
alkej-56	173	32	case	case	NOUN
alkej-56	173	33	.	.	PUNCT
alkej-56	174	1	table	table	NOUN
alkej-56	174	2	(	(	PUNCT
alkej-56	174	3	6	6	NUM
alkej-56	174	4	)	)	PUNCT
alkej-56	174	5	shows	show	VERB
alkej-56	174	6	non	non	ADJ
alkej-56	174	7	-	-	ADJ
alkej-56	174	8	dimensional	dimensional	ADJ
alkej-56	174	9	natural	natural	ADJ
alkej-56	174	10	frequency	frequency	NOUN
alkej-56	174	11	under	under	ADP
alkej-56	174	12	various	various	ADJ
alkej-56	174	13	uniaxial	uniaxial	ADJ
alkej-56	174	14	loads	load	NOUN
alkej-56	174	15	ratio(d	ratio(d	NOUN
alkej-56	174	16	)	)	PUNCT
alkej-56	174	17	for	for	ADP
alkej-56	174	18	simply	simply	ADV
alkej-56	174	19	supported	support	VERB
alkej-56	174	20	cross	cross	ADJ
alkej-56	174	21	-	-	ADJ
alkej-56	174	22	ply	ply	ADJ
alkej-56	174	23	[	[	X
alkej-56	174	24	0/90/0	0/90/0	X
alkej-56	174	25	]	]	X
alkej-56	174	26	square	square	ADJ
alkej-56	174	27	plate	plate	NOUN
alkej-56	174	28	with	with	ADP
alkej-56	174	29	orthotropy	orthotropy	NOUN
alkej-56	174	30	ratio	ratio	NOUN
alkej-56	174	31	(	(	PUNCT
alkej-56	174	32	e1	e1	NOUN
alkej-56	174	33	/	/	SYM
alkej-56	174	34	e2=10	e2=10	PROPN
alkej-56	174	35	)	)	PUNCT
alkej-56	174	36	.	.	PUNCT
alkej-56	175	1	table	table	NOUN
alkej-56	175	2	(	(	PUNCT
alkej-56	175	3	7	7	X
alkej-56	175	4	)	)	PUNCT
alkej-56	175	5	shows	show	VERB
alkej-56	175	6	nondimensional	nondimensional	ADJ
alkej-56	175	7	natural	natural	ADJ
alkej-56	175	8	frequency	frequency	NOUN
alkej-56	175	9	under	under	ADP
alkej-56	175	10	various	various	ADJ
alkej-56	175	11	uniaxial	uniaxial	ADJ
alkej-56	175	12	loads	load	NOUN
alkej-56	175	13	ratio	ratio	NOUN
alkej-56	175	14	with	with	ADP
alkej-56	175	15	various	various	ADJ
alkej-56	175	16	thickness	thickness	NOUN
alkej-56	175	17	ratio	ratio	NOUN
alkej-56	175	18	(	(	PUNCT
alkej-56	175	19	a	a	DET
alkej-56	175	20	/	/	SYM
alkej-56	175	21	h	h	NOUN
alkej-56	175	22	)	)	PUNCT
alkej-56	175	23	for	for	ADP
alkej-56	175	24	simply	simply	ADV
alkej-56	175	25	supported	support	VERB
alkej-56	175	26	cross	cross	ADJ
alkej-56	175	27	-	-	ADJ
alkej-56	175	28	ply	ply	ADJ
alkej-56	175	29	[	[	X
alkej-56	175	30	0/90/0	0/90/0	X
alkej-56	175	31	]	]	X
alkej-56	175	32	square	square	ADJ
alkej-56	175	33	plate	plate	NOUN
alkej-56	175	34	with	with	ADP
alkej-56	175	35	orthotropy	orthotropy	NOUN
alkej-56	175	36	ratio	ratio	NOUN
alkej-56	175	37	(	(	PUNCT
alkej-56	175	38	e1	e1	NOUN
alkej-56	175	39	/	/	SYM
alkej-56	175	40	e2=40	e2=40	VERB
alkej-56	175	41	)	)	PUNCT
alkej-56	175	42	.	.	PUNCT
alkej-56	176	1	the	the	DET
alkej-56	176	2	fundamental	fundamental	ADJ
alkej-56	176	3	frequency	frequency	NOUN
alkej-56	176	4	decrease	decrease	NOUN
alkej-56	176	5	when	when	SCONJ
alkej-56	176	6	increasing	increase	VERB
alkej-56	176	7	the	the	DET
alkej-56	176	8	value	value	NOUN
alkej-56	176	9	of	of	ADP
alkej-56	176	10	compressive	compressive	ADJ
alkej-56	176	11	stress	stress	NOUN
alkej-56	176	12	until	until	ADP
alkej-56	176	13	the	the	DET
alkej-56	176	14	lowest	low	ADJ
alkej-56	176	15	ibtehal	ibtehal	PROPN
alkej-56	176	16	abbas	abbas	PROPN
alkej-56	176	17	sadiq	sadiq	PROPN
alkej-56	176	18	al	al	PROPN
alkej-56	176	19	-	-	PUNCT
alkej-56	176	20	khwarizmi	khwarizmi	PROPN
alkej-56	176	21	engineering	engineering	NOUN
alkej-56	176	22	journal	journal	PROPN
alkej-56	176	23	,	,	PUNCT
alkej-56	176	24	vol	vol	NOUN
alkej-56	176	25	.	.	PROPN
alkej-56	176	26	14	14	NUM
alkej-56	176	27	,	,	PUNCT
alkej-56	176	28	no	no	INTJ
alkej-56	176	29	.	.	NOUN
alkej-56	176	30	4	4	NUM
alkej-56	176	31	,	,	PUNCT
alkej-56	176	32	p.p	p.p	PROPN
alkej-56	176	33	.	.	NOUN
alkej-56	176	34	3444	3444	NUM
alkej-56	176	35	(	(	PUNCT
alkej-56	176	36	2018	2018	NUM
alkej-56	176	37	)	)	PUNCT
alkej-56	176	38	40	40	NUM
alkej-56	176	39	natural	natural	ADJ
alkej-56	176	40	frequency	frequency	NOUN
alkej-56	176	41	vanished	vanish	VERB
alkej-56	176	42	when	when	SCONJ
alkej-56	176	43	inplane	inplane	NOUN
alkej-56	176	44	stress	stress	NOUN
alkej-56	176	45	reaches	reach	VERB
alkej-56	176	46	the	the	DET
alkej-56	176	47	critical	critical	ADJ
alkej-56	176	48	buckling	buckling	NOUN
alkej-56	176	49	stress	stress	NOUN
alkej-56	176	50	,	,	PUNCT
alkej-56	176	51	which	which	PRON
alkej-56	176	52	proved	prove	VERB
alkej-56	176	53	by	by	ADP
alkej-56	176	54	other	other	ADJ
alkej-56	176	55	researchers	researcher	NOUN
alkej-56	176	56	,	,	PUNCT
alkej-56	176	57	as	as	SCONJ
alkej-56	176	58	shown	show	VERB
alkej-56	176	59	in	in	ADP
alkej-56	176	60	fig	fig	NOUN
alkej-56	176	61	(	(	PUNCT
alkej-56	176	62	3	3	NUM
alkej-56	176	63	)	)	PUNCT
alkej-56	176	64	and	and	CCONJ
alkej-56	176	65	fig	fig	NOUN
alkej-56	176	66	(	(	PUNCT
alkej-56	176	67	4	4	NUM
alkej-56	176	68	)	)	PUNCT
alkej-56	176	69	.	.	PUNCT
alkej-56	177	1	table	table	NOUN
alkej-56	177	2	1	1	NUM
alkej-56	177	3	,	,	PUNCT
alkej-56	177	4	non	non	ADJ
alkej-56	177	5	-	-	ADJ
alkej-56	177	6	dimensional	dimensional	ADJ
alkej-56	177	7	natural	natural	ADJ
alkej-56	177	8	frequencies	frequency	NOUN
alkej-56	177	9	of	of	ADP
alkej-56	177	10	square	square	ADJ
alkej-56	177	11	laminate	laminate	PROPN
alkej-56	177	12	with(a	with(a	PROPN
alkej-56	177	13	/	/	SYM
alkej-56	177	14	h=5	h=5	PROPN
alkej-56	177	15	)	)	PUNCT
alkej-56	177	16	,	,	PUNCT
alkej-56	177	17	ùúû	ùúû	ADP
alkej-56	177	18	=	=	SYM
alkej-56	177	19	ùúü	ùúü	NOUN
alkej-56	177	20	=	=	SYM
alkej-56	177	21	ý	ý	PROPN
alkej-56	177	22	.	.	PUNCT
alkej-56	178	1	þ	þ	PROPN
alkej-56	178	2	ßû	ßû	NUM
alkej-56	178	3	‚	‚	PROPN
alkej-56	178	4	ùûü	ùûü	VERB
alkej-56	178	5	=	=	SYM
alkej-56	178	6	ý	ý	X
alkej-56	178	7	.	.	PUNCT
alkej-56	179	1	à	à	X
alkej-56	179	2	ßû	ßû	NUM
alkej-56	179	3	‚	‚	PROPN
alkej-56	179	4	áúû	áúû	PROPN
alkej-56	179	5	=	=	SYM
alkej-56	179	6	ý	ý	PROPN
alkej-56	179	7	.	.	PUNCT
alkej-56	179	8	ûà	ûà	ADP
alkej-56	179	9	no.of	no.of	PROPN
alkej-56	179	10	source	source	NOUN
alkej-56	179	11	e1	e1	PROPN
alkej-56	179	12	/	/	SYM
alkej-56	179	13	e2	e2	PROPN
alkej-56	179	14	layers	layer	NOUN
alkej-56	179	15	20	20	NUM
alkej-56	179	16	30	30	NUM
alkej-56	179	17	40	40	NUM
alkej-56	179	18	3d[10	3d[10	NUM
alkej-56	179	19	]	]	PUNCT
alkej-56	179	20	9.4055	9.4055	NUM
alkej-56	179	21	10.165	10.165	NUM
alkej-56	179	22	10.6789	10.6789	NUM
alkej-56	179	23	tsdt[11	tsdt[11	NOUN
alkej-56	179	24	]	]	X
alkej-56	179	25	9.6265	9.6265	NUM
alkej-56	179	26	10.5348	10.5348	NUM
alkej-56	179	27	11.1716	11.1716	NUM
alkej-56	179	28	fsdt[12	fsdt[12	NOUN
alkej-56	179	29	]	]	X
alkej-56	179	30	9.6885	9.6885	NUM
alkej-56	179	31	10.6198	10.6198	NUM
alkej-56	179	32	11.2708	11.2708	NUM
alkej-56	179	33	ppt	ppt	NOUN
alkej-56	179	34	[	[	X
alkej-56	179	35	4	4	X
alkej-56	179	36	]	]	SYM
alkej-56	179	37	9.6252	9.6252	NUM
alkej-56	179	38	10.5334	10.5334	NUM
alkej-56	179	39	11.1705	11.1705	NUM
alkej-56	179	40	present	present	ADJ
alkej-56	179	41	9.632	9.632	NUM
alkej-56	179	42	10.538	10.538	NUM
alkej-56	179	43	11.173	11.173	NUM
alkej-56	179	44	ansys	ansys	NOUN
alkej-56	179	45	9.301	9.301	NUM
alkej-56	179	46	10.07	10.07	NUM
alkej-56	179	47	10.57	10.57	NUM
alkej-56	179	48	3d	3d	NOUN
alkej-56	180	1	[	[	X
alkej-56	180	2	10	10	NUM
alkej-56	180	3	]	]	SYM
alkej-56	180	4	9.8398	9.8398	NUM
alkej-56	180	5	10.6958	10.6958	NUM
alkej-56	180	6	11.2728	11.2728	NUM
alkej-56	180	7	tsdt[11	tsdt[11	NOUN
alkej-56	180	8	]	]	X
alkej-56	180	9	9.9181	9.9181	NUM
alkej-56	180	10	10.8547	10.8547	NUM
alkej-56	180	11	11.5012	11.5012	NUM
alkej-56	180	12	fsdt[12	fsdt[12	NOUN
alkej-56	180	13	]	]	X
alkej-56	180	14	9.9427	9.9427	NUM
alkej-56	180	15	10.8828	10.8828	NUM
alkej-56	180	16	11.5264	11.5264	NUM
alkej-56	180	17	ppt[4	ppt[4	NOUN
alkej-56	180	18	]	]	X
alkej-56	180	19	9.9181	9.9181	NUM
alkej-56	180	20	10.8547	10.8547	NUM
alkej-56	180	21	11.5009	11.5009	NUM
alkej-56	180	22	present	present	ADJ
alkej-56	180	23	9.925	9.925	NUM
alkej-56	180	24	10.859	10.859	NUM
alkej-56	180	25	11.504	11.504	NUM
alkej-56	180	26	ansys	ansys	PROPN
alkej-56	180	27	9.69	9.69	NUM
alkej-56	180	28	10.58	10.58	NUM
alkej-56	180	29	11.16	11.16	NUM
alkej-56	180	30	3d[10	3d[10	NUM
alkej-56	180	31	]	]	PUNCT
alkej-56	180	32	10.0843	10.0843	NUM
alkej-56	180	33	11.0027	11.0027	NUM
alkej-56	180	34	11.6245	11.6245	NUM
alkej-56	180	35	tsdt[11	tsdt[11	NOUN
alkej-56	180	36	]	]	PUNCT
alkej-56	180	37	10.0674	10.0674	NUM
alkej-56	180	38	11.0197	11.0197	NUM
alkej-56	180	39	11.673	11.673	NUM
alkej-56	180	40	fsdt[12	fsdt[12	X
alkej-56	180	41	]	]	X
alkej-56	180	42	10.0638	10.0638	NUM
alkej-56	180	43	11.0058	11.0058	NUM
alkej-56	180	44	11.6444	11.6444	NUM
alkej-56	180	45	ppt[4	ppt[4	NOUN
alkej-56	180	46	]	]	PUNCT
alkej-56	180	47	10.0671	10.0671	NUM
alkej-56	180	48	11.0186	11.0186	NUM
alkej-56	180	49	11.6705	11.6705	NUM
alkej-56	180	50	present	present	ADJ
alkej-56	180	51	10.074	10.074	NUM
alkej-56	180	52	11.023	11.023	NUM
alkej-56	180	53	11.673	11.673	NUM
alkej-56	180	54	ansys	ansys	PROPN
alkej-56	180	55	10.905	10.905	NUM
alkej-56	180	56	10.84	10.84	NUM
alkej-56	180	57	11.47	11.47	NUM
alkej-56	180	58	table	table	NOUN
alkej-56	180	59	2	2	NUM
alkej-56	180	60	,	,	PUNCT
alkej-56	180	61	non	non	ADJ
alkej-56	180	62	-	-	ADJ
alkej-56	180	63	dimensional	dimensional	ADJ
alkej-56	180	64	natural	natural	ADJ
alkej-56	180	65	frequencies	frequency	NOUN
alkej-56	180	66	of	of	ADP
alkej-56	180	67	cross	cross	ADJ
alkej-56	180	68	-	-	ADJ
alkej-56	180	69	ply	ply	ADJ
alkej-56	180	70	square	square	ADJ
alkej-56	180	71	laminate	laminate	NOUN
alkej-56	180	72	âúâû	âúâû	ADV
alkej-56	180	73	=	=	SYM
alkej-56	180	74	40	40	NUM
alkej-56	180	75	.	.	PUNCT
alkej-56	181	1	no	no	PRON
alkej-56	181	2	of	of	ADP
alkej-56	181	3	layer	layer	NOUN
alkej-56	181	4	method	method	NOUN
alkej-56	181	5	a	a	DET
alkej-56	181	6	/	/	SYM
alkej-56	181	7	h	h	NOUN
alkej-56	181	8	10	10	NUM
alkej-56	181	9	20	20	NUM
alkej-56	181	10	50	50	NUM
alkej-56	181	11	100	100	NUM
alkej-56	181	12	�	�	PROPN
alkej-56	181	13	0/90	0/90	NUM
alkej-56	181	14	�	�	PROPN
alkej-56	181	15	&	&	CCONJ
alkej-56	181	16	tsdt	tsdt	NOUN
alkej-56	182	1	[	[	X
alkej-56	182	2	11	11	NUM
alkej-56	182	3	]	]	PUNCT
alkej-56	182	4	10.56	10.56	NUM
alkej-56	182	5	11.10	11.10	NUM
alkej-56	182	6	11.27	11.27	NUM
alkej-56	182	7	11.30	11.30	NUM
alkej-56	182	8	fsdt	fsdt	NOUN
alkej-56	183	1	[	[	X
alkej-56	183	2	12	12	NUM
alkej-56	183	3	]	]	PUNCT
alkej-56	183	4	10.47	10.47	NUM
alkej-56	183	5	11.07	11.07	NUM
alkej-56	183	6	11.27	11.27	NUM
alkej-56	183	7	11.29	11.29	NUM
alkej-56	183	8	rpt	rpt	NOUN
alkej-56	184	1	[	[	X
alkej-56	184	2	4	4	NUM
alkej-56	184	3	]	]	PUNCT
alkej-56	184	4	10.56	10.56	NUM
alkej-56	184	5	11.10	11.10	NUM
alkej-56	184	6	11.27	11.27	NUM
alkej-56	184	7	11.30	11.30	NUM
alkej-56	184	8	present	present	ADJ
alkej-56	184	9	10.55	10.55	NUM
alkej-56	184	10	11.10	11.10	NUM
alkej-56	184	11	11.27	11.27	NUM
alkej-56	184	12	11.30	11.30	NUM
alkej-56	184	13	�	�	NOUN
alkej-56	184	14	0/90	0/90	NUM
alkej-56	184	15	�	�	PROPN
alkej-56	184	16	tsdt	tsdt	NOUN
alkej-56	185	1	[	[	X
alkej-56	185	2	11	11	NUM
alkej-56	185	3	]	]	PUNCT
alkej-56	185	4	14.84	14.84	NUM
alkej-56	185	5	16.57	16.57	NUM
alkej-56	185	6	17.18	17.18	NUM
alkej-56	185	7	17.27	17.27	NUM
alkej-56	185	8	fsdt	fsdt	NOUN
alkej-56	185	9	[	[	X
alkej-56	185	10	12	12	NUM
alkej-56	185	11	]	]	PUNCT
alkej-56	185	12	14.92	14.92	NUM
alkej-56	185	13	16.60	16.60	NUM
alkej-56	185	14	17.18	17.18	NUM
alkej-56	185	15	17.27	17.27	NUM
alkej-56	185	16	rpt	rpt	NOUN
alkej-56	185	17	[	[	X
alkej-56	185	18	4	4	NUM
alkej-56	185	19	]	]	PUNCT
alkej-56	185	20	14.84	14.84	NUM
alkej-56	185	21	16.57	16.57	NUM
alkej-56	185	22	17.18	17.18	NUM
alkej-56	185	23	17.27	17.27	NUM
alkej-56	185	24	present	present	ADJ
alkej-56	185	25	14.85	14.85	NUM
alkej-56	185	26	16.58	16.58	NUM
alkej-56	185	27	17.19	17.19	NUM
alkej-56	185	28	17.29	17.29	NUM
alkej-56	185	29	�	�	SYM
alkej-56	185	30	0/90	0/90	NUM
alkej-56	185	31	�	�	NOUN
alkej-56	185	32	*	*	NOUN
alkej-56	185	33	tsdt	tsdt	NOUN
alkej-56	185	34	[	[	X
alkej-56	185	35	11	11	NUM
alkej-56	185	36	]	]	PUNCT
alkej-56	185	37	15.46	15.46	NUM
alkej-56	185	38	17.37	17.37	NUM
alkej-56	185	39	18.06	18.06	NUM
alkej-56	185	40	18.16	18.16	NUM
alkej-56	185	41	fsdt	fsdt	NOUN
alkej-56	185	42	[	[	X
alkej-56	185	43	12	12	NUM
alkej-56	185	44	]	]	PUNCT
alkej-56	185	45	15.50	15.50	NUM
alkej-56	185	46	17.39	17.39	NUM
alkej-56	185	47	18.06	18.06	NUM
alkej-56	185	48	18.17	18.17	NUM
alkej-56	185	49	rpt	rpt	NOUN
alkej-56	185	50	[	[	X
alkej-56	185	51	4	4	NUM
alkej-56	185	52	]	]	PUNCT
alkej-56	185	53	15.46	15.46	NUM
alkej-56	185	54	17.37	17.37	NUM
alkej-56	185	55	18.06	18.06	NUM
alkej-56	185	56	18.16	18.16	NUM
alkej-56	185	57	present	present	ADJ
alkej-56	185	58	15.47	15.47	NUM
alkej-56	185	59	17.38	17.38	NUM
alkej-56	185	60	18.07	18.07	NUM
alkej-56	185	61	18.18	18.18	NUM
alkej-56	185	62	table	table	NOUN
alkej-56	185	63	3	3	NUM
alkej-56	185	64	,	,	PUNCT
alkej-56	185	65	non	non	ADJ
alkej-56	185	66	-	-	ADJ
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alkej-56	185	68	uniaxial	uniaxial	ADJ
alkej-56	185	69	buckling	buckling	NOUN
alkej-56	185	70	load	load	NOUN
alkej-56	185	71	of	of	ADP
alkej-56	185	72	simply	simply	ADV
alkej-56	185	73	supported	support	VERB
alkej-56	185	74	square	square	ADJ
alkej-56	185	75	laminates,(a	laminates,(a	PROPN
alkej-56	185	76	/	/	SYM
alkej-56	185	77	h=10	h=10	NOUN
alkej-56	185	78	)	)	PUNCT
alkej-56	185	79	,	,	PUNCT
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alkej-56	185	81	=	=	SYM
alkej-56	185	82	ùúü	ùúü	NOUN
alkej-56	185	83	=	=	SYM
alkej-56	185	84	ý	ý	PROPN
alkej-56	185	85	.	.	PUNCT
alkej-56	186	1	þ	þ	PROPN
alkej-56	186	2	ßû	ßû	NUM
alkej-56	186	3	‚	‚	PROPN
alkej-56	186	4	ùûü	ùûü	VERB
alkej-56	186	5	=	=	SYM
alkej-56	186	6	ý	ý	PROPN
alkej-56	186	7	.	.	PUNCT
alkej-56	187	1	à	à	X
alkej-56	187	2	ßû	ßû	NUM
alkej-56	187	3	‚	‚	PROPN
alkej-56	187	4	áúû	áúû	PROPN
alkej-56	187	5	=	=	PROPN
alkej-56	187	6	ý	ý	PROPN
alkej-56	187	7	.	.	PUNCT
alkej-56	188	1	ûà	ûà	ADP
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alkej-56	188	3	of	of	ADP
alkej-56	188	4	layer	layer	NOUN
alkej-56	188	5	method	method	NOUN
alkej-56	188	6	ãá	ãá	ADP
alkej-56	188	7	diff%	diff%	NUM
alkej-56	188	8	4	4	NUM
alkej-56	188	9	fsdt	fsdt	NOUN
alkej-56	188	10	[	[	X
alkej-56	188	11	12	12	NUM
alkej-56	188	12	]	]	SYM
alkej-56	188	13	22.806	22.806	NUM
alkej-56	188	14	rpt	rpt	NOUN
alkej-56	188	15	[	[	X
alkej-56	188	16	3	3	NUM
alkej-56	188	17	]	]	PUNCT
alkej-56	188	18	22.57	22.57	NUM
alkej-56	188	19	1.03	1.03	NUM
alkej-56	188	20	present	present	NOUN
alkej-56	188	21	22.593	22.593	NUM
alkej-56	188	22	0.93	0.93	NUM
alkej-56	188	23	ansys	ansys	NOUN
alkej-56	188	24	22.134	22.134	NUM
alkej-56	188	25	2.94	2.94	NUM
alkej-56	188	26	6	6	NUM
alkej-56	188	27	fsdt	fsdt	NOUN
alkej-56	188	28	[	[	X
alkej-56	188	29	12	12	NUM
alkej-56	188	30	]	]	SYM
alkej-56	188	31	24.5777	24.5777	NUM
alkej-56	188	32	rpt	rpt	NOUN
alkej-56	188	33	[	[	X
alkej-56	188	34	3	3	NUM
alkej-56	188	35	]	]	PUNCT
alkej-56	188	36	24.4581	24.4581	NUM
alkej-56	188	37	0.48	0.48	NUM
alkej-56	188	38	present	present	NOUN
alkej-56	188	39	24.483	24.483	NUM
alkej-56	188	40	0.38	0.38	NUM
alkej-56	188	41	ansys	ansys	PROPN
alkej-56	188	42	23.78	23.78	NUM
alkej-56	188	43	3.2	3.2	NUM
alkej-56	188	44	10	10	NUM
alkej-56	188	45	fsdt	fsdt	NOUN
alkej-56	188	46	[	[	X
alkej-56	188	47	12	12	NUM
alkej-56	188	48	]	]	SYM
alkej-56	188	49	25.45	25.45	NUM
alkej-56	188	50	rpt	rpt	NOUN
alkej-56	188	51	[	[	X
alkej-56	188	52	3	3	NUM
alkej-56	188	53	]	]	PUNCT
alkej-56	188	54	25.4225	25.4225	NUM
alkej-56	188	55	0.10	0.10	NUM
alkej-56	188	56	present	present	ADJ
alkej-56	188	57	25.44	25.44	NUM
alkej-56	188	58	0.03	0.03	NUM
alkej-56	188	59	ansys	ansys	PROPN
alkej-56	188	60	24.357	24.357	NUM
alkej-56	188	61	4.29	4.29	NUM
alkej-56	188	62	�	�	NOUN
alkej-56	188	63	0/90	0/90	NUM
alkej-56	188	64	�	�	PROPN
alkej-56	188	65	�	�	PROPN
alkej-56	188	66	0/90	0/90	NUM
alkej-56	188	67	�	�	PROPN
alkej-56	188	68	*	*	PUNCT
alkej-56	188	69	�	�	PROPN
alkej-56	188	70	0/90	0/90	NUM
alkej-56	188	71	�	�	NOUN
alkej-56	188	72	)	)	PUNCT
alkej-56	188	73	ibtehal	ibtehal	PROPN
alkej-56	188	74	abbas	abbas	PROPN
alkej-56	188	75	sadiq	sadiq	PROPN
alkej-56	188	76	al	al	PROPN
alkej-56	188	77	-	-	PUNCT
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alkej-56	188	80	journal	journal	PROPN
alkej-56	188	81	,	,	PUNCT
alkej-56	188	82	vol	vol	NOUN
alkej-56	188	83	.	.	PROPN
alkej-56	188	84	14	14	NUM
alkej-56	188	85	,	,	PUNCT
alkej-56	188	86	no	no	INTJ
alkej-56	188	87	.	.	NOUN
alkej-56	188	88	4	4	NUM
alkej-56	188	89	,	,	PUNCT
alkej-56	188	90	p.p	p.p	PROPN
alkej-56	188	91	.	.	NOUN
alkej-56	188	92	3444	3444	NUM
alkej-56	188	93	(	(	PUNCT
alkej-56	188	94	2018	2018	NUM
alkej-56	188	95	)	)	PUNCT
alkej-56	188	96	41	41	NUM
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alkej-56	188	98	4	4	NUM
alkej-56	188	99	,	,	PUNCT
alkej-56	188	100	non	non	ADJ
alkej-56	188	101	-	-	ADJ
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alkej-56	188	103	uniaxial	uniaxial	ADJ
alkej-56	188	104	buckling	buckling	NOUN
alkej-56	188	105	load	load	NOUN
alkej-56	188	106	of	of	ADP
alkej-56	188	107	antisymmetric	antisymmetric	ADJ
alkej-56	188	108	square	square	ADJ
alkej-56	188	109	laminates	laminate	NOUN
alkej-56	188	110	ùúû	ùúû	ADP
alkej-56	188	111	=	=	SYM
alkej-56	188	112	ùúü	ùúü	NOUN
alkej-56	188	113	=	=	SYM
alkej-56	188	114	ý	ý	PROPN
alkej-56	188	115	.	.	PUNCT
alkej-56	188	116	à	à	X
alkej-56	188	117	ßû	ßû	NUM
alkej-56	188	118	‚	‚	NOUN
alkej-56	188	119	ùûü	ùûü	VERB
alkej-56	189	1	=	=	SYM
alkej-56	189	2	ý	ý	X
alkej-56	189	3	.	.	PUNCT
alkej-56	190	1	û	û	X
alkej-56	190	2	ßû	ßû	NUM
alkej-56	190	3	‚	‚	NUM
alkej-56	190	4	áúû	áúû	PROPN
alkej-56	190	5	=	=	SYM
alkej-56	190	6	ý	ý	PROPN
alkej-56	190	7	.	.	PUNCT
alkej-56	191	1	ûà	ûà	ADP
alkej-56	191	2	table	table	NOUN
alkej-56	191	3	5	5	NUM
alkej-56	191	4	,	,	PUNCT
alkej-56	191	5	non	non	ADJ
alkej-56	191	6	-	-	ADJ
alkej-56	191	7	dimensional	dimensional	ADJ
alkej-56	191	8	biaxial	biaxial	ADJ
alkej-56	191	9	buckling	buckling	NOUN
alkej-56	191	10	load	load	NOUN
alkej-56	191	11	of	of	ADP
alkej-56	191	12	antisymmetric	antisymmetric	ADJ
alkej-56	191	13	cross	cross	ADJ
alkej-56	191	14	-	-	ADJ
alkej-56	191	15	ply	ply	ADJ
alkej-56	191	16	laminates	laminate	NOUN
alkej-56	191	17	table	table	VERB
alkej-56	191	18	6	6	NUM
alkej-56	191	19	,	,	PUNCT
alkej-56	191	20	dimensionless	dimensionless	ADJ
alkej-56	191	21	natural	natural	ADJ
alkej-56	191	22	frequency	frequency	NOUN
alkej-56	191	23	of	of	ADP
alkej-56	191	24	a	a	DET
alkej-56	191	25	laminated	laminated	ADJ
alkej-56	191	26	plate	plate	NOUN
alkej-56	191	27	under	under	ADP
alkej-56	191	28	buckling	buckle	VERB
alkej-56	191	29	different	different	ADJ
alkej-56	191	30	ratio	ratio	NOUN
alkej-56	191	31	(	(	PUNCT
alkej-56	191	32	d	d	NOUN
alkej-56	191	33	)	)	PUNCT
alkej-56	191	34	.	.	PUNCT
alkej-56	192	1	d	d	PROPN
alkej-56	192	2	method	method	NOUN
alkej-56	192	3	fundamental	fundamental	ADJ
alkej-56	192	4	frequency	frequency	NOUN
alkej-56	192	5	(	(	PUNCT
alkej-56	192	6	äá	äá	PROPN
alkej-56	192	7	)	)	PUNCT
alkej-56	192	8	0	0	PUNCT
alkej-56	193	1	[	[	X
alkej-56	193	2	13	13	NUM
alkej-56	193	3	]	]	SYM
alkej-56	193	4	10.649	10.649	NUM
alkej-56	193	5	ansys	ansys	PROPN
alkej-56	193	6	10.645	10.645	NUM
alkej-56	193	7	present	present	ADJ
alkej-56	193	8	10.665	10.665	NUM
alkej-56	193	9	0.25	0.25	NUM
alkej-56	193	10	[	[	NOUN
alkej-56	193	11	13	13	NUM
alkej-56	193	12	]	]	SYM
alkej-56	193	13	9.231	9.231	NUM
alkej-56	193	14	ansys	ansys	NOUN
alkej-56	193	15	9.231	9.231	NUM
alkej-56	193	16	present	present	NOUN
alkej-56	193	17	9.236	9.236	NUM
alkej-56	193	18	0.5	0.5	NUM
alkej-56	193	19	[	[	X
alkej-56	193	20	13	13	NUM
alkej-56	193	21	]	]	SYM
alkej-56	193	22	7.544	7.544	NUM
alkej-56	193	23	ansys	ansys	NOUN
alkej-56	193	24	7.544	7.544	NUM
alkej-56	193	25	present	present	NOUN
alkej-56	193	26	7.541	7.541	NUM
alkej-56	193	27	0.75	0.75	NUM
alkej-56	193	28	[	[	X
alkej-56	193	29	13	13	NUM
alkej-56	193	30	]	]	SYM
alkej-56	193	31	5.379	5.379	NUM
alkej-56	193	32	ansys	ansys	X
alkej-56	193	33	5.379	5.379	NUM
alkej-56	193	34	present	present	ADJ
alkej-56	193	35	5.332	5.332	NUM
alkej-56	193	36	e1	e1	NOUN
alkej-56	193	37	/	/	SYM
alkej-56	193	38	e2=40	e2=40	VERB
alkej-56	193	39	e1	e1	PROPN
alkej-56	193	40	/	/	SYM
alkej-56	193	41	e2=25	e2=25	PROPN
alkej-56	193	42	e1	e1	PROPN
alkej-56	193	43	/	/	SYM
alkej-56	193	44	e2=10	e2=10	PROPN
alkej-56	193	45	method	method	PROPN
alkej-56	193	46	�	�	PROPN
alkej-56	193	47	ý	ý	PROPN
alkej-56	193	48	/	/	SYM
alkej-56	193	49	åý	åý	PROPN
alkej-56	193	50	�	�	PROPN
alkej-56	193	51	æ	æ	PROPN
alkej-56	193	52	(	(	PUNCT
alkej-56	193	53	0/90	0/90	NUM
alkej-56	193	54	)	)	PUNCT
alkej-56	193	55	�	�	PROPN
alkej-56	193	56	ý	ý	PROPN
alkej-56	193	57	/	/	SYM
alkej-56	193	58	åý	åý	PROPN
alkej-56	193	59	�	�	PROPN
alkej-56	193	60	æ	æ	PROPN
alkej-56	193	61	(	(	PUNCT
alkej-56	193	62	0/90	0/90	NUM
alkej-56	193	63	)	)	PUNCT
alkej-56	193	64	�	�	PROPN
alkej-56	193	65	ý	ý	PROPN
alkej-56	193	66	/	/	SYM
alkej-56	193	67	åý	åý	PROPN
alkej-56	193	68	�	�	PROPN
alkej-56	193	69	æ	æ	PROPN
alkej-56	193	70	(	(	PUNCT
alkej-56	193	71	0/90	0/90	NUM
alkej-56	193	72	)	)	PUNCT
alkej-56	193	73	21.631	21.631	NUM
alkej-56	193	74	21.601	21.601	NUM
alkej-56	193	75	10.381	10.381	NUM
alkej-56	193	76	10.615	10.615	NUM
alkej-56	193	77	16.301	16.301	NUM
alkej-56	193	78	16.292	16.292	NUM
alkej-56	193	79	8.189	8.189	NUM
alkej-56	193	80	8.317	8.317	NUM
alkej-56	193	81	9.158	9.158	NUM
alkej-56	193	82	9.186	9.186	NUM
alkej-56	193	83	5.746	5.746	NUM
alkej-56	193	84	5.792	5.792	NUM
alkej-56	193	85	[	[	PUNCT
alkej-56	193	86	9	9	NUM
alkej-56	193	87	]	]	SYM
alkej-56	193	88	present	present	ADJ
alkej-56	193	89	10	10	NUM
alkej-56	193	90	29.965	29.965	NUM
alkej-56	193	91	29.959	29.959	NUM
alkej-56	193	92	11.980	11.980	NUM
alkej-56	193	93	12.065	12.065	NUM
alkej-56	193	94	20.623	20.623	NUM
alkej-56	193	95	20.644	20.644	NUM
alkej-56	193	96	9.153	9.153	NUM
alkej-56	193	97	9.201	9.201	NUM
alkej-56	193	98	10.380	10.380	NUM
alkej-56	193	99	10.424	10.424	NUM
alkej-56	193	100	6.205	6.205	NUM
alkej-56	193	101	6.228	6.228	NUM
alkej-56	193	102	[	[	X
alkej-56	193	103	9	9	NUM
alkej-56	193	104	]	]	SYM
alkej-56	193	105	present	present	ADJ
alkej-56	193	106	20	20	NUM
alkej-56	193	107	34.179	34.179	NUM
alkej-56	193	108	34.225	34.225	NUM
alkej-56	193	109	12.601	12.601	NUM
alkej-56	193	110	12.617	12.617	NUM
alkej-56	193	111	22.535	22.535	NUM
alkej-56	193	112	22.583	22.583	NUM
alkej-56	193	113	9.511	9.511	NUM
alkej-56	193	114	9.525	9.525	NUM
alkej-56	193	115	10.843	10.843	NUM
alkej-56	193	116	10.895	10.895	NUM
alkej-56	193	117	6.367	6.367	NUM
alkej-56	193	118	6.382	6.382	NUM
alkej-56	193	119	[	[	X
alkej-56	193	120	9	9	NUM
alkej-56	193	121	]	]	SYM
alkej-56	193	122	present	present	ADJ
alkej-56	193	123	100	100	NUM
alkej-56	193	124	e1	e1	NOUN
alkej-56	193	125	/	/	SYM
alkej-56	193	126	e2=40	e2=40	VERB
alkej-56	193	127	e1	e1	PROPN
alkej-56	193	128	/	/	SYM
alkej-56	193	129	e2=25	e2=25	PROPN
alkej-56	193	130	e1	e1	PROPN
alkej-56	193	131	/	/	SYM
alkej-56	193	132	e2=10	e2=10	PROPN
alkej-56	193	133	method	method	VERB
alkej-56	193	134	a	a	DET
alkej-56	193	135	/	/	SYM
alkej-56	193	136	h	h	NOUN
alkej-56	193	137	�	�	PROPN
alkej-56	193	138	0/90	0/90	NUM
alkej-56	193	139	�	�	NOUN
alkej-56	193	140	'	'	PART
alkej-56	193	141	(	(	PUNCT
alkej-56	193	142	0/90	0/90	NUM
alkej-56	193	143	)	)	PUNCT
alkej-56	193	144	�	�	PROPN
alkej-56	193	145	0/90	0/90	NUM
alkej-56	193	146	�	�	NOUN
alkej-56	193	147	'	'	PART
alkej-56	193	148	(	(	PUNCT
alkej-56	193	149	0/90	0/90	NUM
alkej-56	193	150	)	)	PUNCT
alkej-56	193	151	�	�	PROPN
alkej-56	193	152	0/90	0/90	NUM
alkej-56	193	153	�	�	NOUN
alkej-56	193	154	'	'	PUNCT
alkej-56	193	155	(	(	PUNCT
alkej-56	193	156	0/90	0/90	NUM
alkej-56	193	157	)	)	PUNCT
alkej-56	193	158	10.816	10.816	NUM
alkej-56	193	159	10.800	10.800	NUM
alkej-56	193	160	5.190	5.190	NUM
alkej-56	193	161	5.307	5.307	NUM
alkej-56	193	162	8.150	8.150	NUM
alkej-56	193	163	8.146	8.146	NUM
alkej-56	193	164	4.094	4.094	NUM
alkej-56	193	165	4.158	4.158	NUM
alkej-56	193	166	4.579	4.579	NUM
alkej-56	193	167	4.593	4.593	NUM
alkej-56	193	168	2.873	2.873	NUM
alkej-56	193	169	2.896	2.896	NUM
alkej-56	193	170	[	[	PUNCT
alkej-56	193	171	9	9	NUM
alkej-56	193	172	]	]	SYM
alkej-56	193	173	present	present	ADJ
alkej-56	193	174	10	10	NUM
alkej-56	193	175	14.983	14.983	NUM
alkej-56	193	176	14.979	14.979	NUM
alkej-56	193	177	5.990	5.990	NUM
alkej-56	193	178	6.032	6.032	NUM
alkej-56	193	179	10.311	10.311	NUM
alkej-56	193	180	10.322	10.322	NUM
alkej-56	193	181	4.576	4.576	NUM
alkej-56	193	182	4.600	4.600	NUM
alkej-56	193	183	5.190	5.190	NUM
alkej-56	193	184	5.212	5.212	NUM
alkej-56	193	185	3.102	3.102	NUM
alkej-56	193	186	3.114	3.114	NUM
alkej-56	193	187	[	[	X
alkej-56	193	188	9	9	NUM
alkej-56	193	189	]	]	SYM
alkej-56	193	190	present	present	ADJ
alkej-56	193	191	20	20	NUM
alkej-56	193	192	17.090	17.090	NUM
alkej-56	193	193	17.112	17.112	NUM
alkej-56	193	194	6.300	6.300	NUM
alkej-56	193	195	6.308	6.308	NUM
alkej-56	193	196	11.267	11.267	NUM
alkej-56	193	197	11.291	11.291	NUM
alkej-56	193	198	4.755	4.755	NUM
alkej-56	193	199	4.76	4.76	NUM
alkej-56	193	200	5.422	5.422	NUM
alkej-56	193	201	5.447	5.447	NUM
alkej-56	193	202	3.184	3.184	NUM
alkej-56	193	203	3.191	3.191	NUM
alkej-56	193	204	[	[	X
alkej-56	193	205	9	9	NUM
alkej-56	193	206	]	]	SYM
alkej-56	193	207	present	present	ADJ
alkej-56	193	208	100	100	NUM
alkej-56	193	209	ibtehal	ibtehal	PROPN
alkej-56	193	210	abbas	abbas	PROPN
alkej-56	193	211	sadiq	sadiq	PROPN
alkej-56	193	212	al	al	PROPN
alkej-56	193	213	-	-	PUNCT
alkej-56	193	214	khwarizmi	khwarizmi	PROPN
alkej-56	193	215	engineering	engineering	NOUN
alkej-56	193	216	journal	journal	PROPN
alkej-56	193	217	,	,	PUNCT
alkej-56	193	218	vol	vol	NOUN
alkej-56	193	219	.	.	PROPN
alkej-56	193	220	14	14	NUM
alkej-56	193	221	,	,	PUNCT
alkej-56	193	222	no	no	INTJ
alkej-56	193	223	.	.	NOUN
alkej-56	193	224	4	4	NUM
alkej-56	193	225	,	,	PUNCT
alkej-56	193	226	p.p	p.p	PROPN
alkej-56	193	227	.	.	NOUN
alkej-56	193	228	3444	3444	NUM
alkej-56	193	229	(	(	PUNCT
alkej-56	193	230	2018	2018	NUM
alkej-56	193	231	)	)	PUNCT
alkej-56	193	232	42	42	NUM
alkej-56	193	233	table7	table7	ADJ
alkej-56	193	234	,	,	PUNCT
alkej-56	193	235	non	non	ADJ
alkej-56	193	236	-	-	ADJ
alkej-56	193	237	dimensional	dimensional	ADJ
alkej-56	193	238	natural	natural	ADJ
alkej-56	193	239	frequency	frequency	NOUN
alkej-56	193	240	under	under	ADP
alkej-56	193	241	various	various	ADJ
alkej-56	193	242	uniaxial	uniaxial	ADJ
alkej-56	193	243	loads	load	NOUN
alkej-56	193	244	ratio	ratio	NOUN
alkej-56	193	245	with	with	ADP
alkej-56	193	246	various	various	ADJ
alkej-56	193	247	thickness	thickness	NOUN
alkej-56	193	248	ratio	ratio	NOUN
alkej-56	193	249	(	(	PUNCT
alkej-56	193	250	a	a	DET
alkej-56	193	251	/	/	SYM
alkej-56	193	252	h	h	NOUN
alkej-56	193	253	)	)	PUNCT
alkej-56	193	254	for	for	ADP
alkej-56	193	255	simply	simply	ADV
alkej-56	193	256	supported	support	VERB
alkej-56	193	257	cross	cross	ADJ
alkej-56	193	258	-	-	ADJ
alkej-56	193	259	ply	ply	ADJ
alkej-56	193	260	[	[	X
alkej-56	193	261	0/90/0	0/90/0	X
alkej-56	193	262	]	]	X
alkej-56	193	263	square	square	ADJ
alkej-56	193	264	plate	plate	NOUN
alkej-56	193	265	and	and	CCONJ
alkej-56	193	266	orthotropy	orthotropy	VERB
alkej-56	193	267	ratio	ratio	NOUN
alkej-56	193	268	(	(	PUNCT
alkej-56	193	269	e1	e1	NOUN
alkej-56	193	270	/	/	SYM
alkej-56	193	271	e2=40	e2=40	VERB
alkej-56	193	272	)	)	PUNCT
alkej-56	193	273	.	.	PUNCT
alkej-56	194	1	fig	fig	NOUN
alkej-56	194	2	.	.	PUNCT
alkej-56	195	1	3	3	X
alkej-56	195	2	.	.	NOUN
alkej-56	195	3	natural	natural	ADJ
alkej-56	195	4	frequency	frequency	NOUN
alkej-56	195	5	with	with	ADP
alkej-56	195	6	ratio	ratio	NOUN
alkej-56	195	7	of	of	ADP
alkej-56	195	8	buckling	buckle	VERB
alkej-56	195	9	load	load	NOUN
alkej-56	195	10	for	for	ADP
alkej-56	195	11	[	[	X
alkej-56	195	12	0/90/0	0/90/0	X
alkej-56	195	13	]	]	X
alkej-56	195	14	simply	simply	ADV
alkej-56	195	15	supported	support	VERB
alkej-56	195	16	square	square	ADJ
alkej-56	195	17	plate	plate	NOUN
alkej-56	196	1	[	[	X
alkej-56	196	2	a	a	X
alkej-56	196	3	/	/	SYM
alkej-56	196	4	h=10	h=10	NOUN
alkej-56	196	5	]	]	PUNCT
alkej-56	196	6	for	for	ADP
alkej-56	196	7	different	different	ADJ
alkej-56	196	8	orthotrpy	orthotrpy	ADJ
alkej-56	196	9	ratio	ratio	NOUN
alkej-56	196	10	.	.	PUNCT
alkej-56	197	1	fig	fig	NOUN
alkej-56	197	2	.	.	PUNCT
alkej-56	198	1	4	4	X
alkej-56	198	2	.	.	NOUN
alkej-56	198	3	natural	natural	ADJ
alkej-56	198	4	frequency	frequency	NOUN
alkej-56	198	5	with	with	ADP
alkej-56	198	6	ratio	ratio	NOUN
alkej-56	198	7	of	of	ADP
alkej-56	198	8	buckling	buckle	VERB
alkej-56	198	9	load	load	NOUN
alkej-56	198	10	for	for	ADP
alkej-56	198	11	different	different	ADJ
alkej-56	198	12	layers	layer	NOUN
alkej-56	198	13	of	of	ADP
alkej-56	198	14	simply	simply	ADV
alkej-56	198	15	supported	support	VERB
alkej-56	198	16	square	square	ADJ
alkej-56	198	17	plate	plate	NOUN
alkej-56	198	18	(	(	PUNCT
alkej-56	198	19	a	a	PRON
alkej-56	198	20	/	/	SYM
alkej-56	198	21	h=10	h=10	NOUN
alkej-56	198	22	)	)	PUNCT
alkej-56	198	23	,	,	PUNCT
alkej-56	198	24	(	(	PUNCT
alkej-56	198	25	e1	e1	NOUN
alkej-56	198	26	/	/	SYM
alkej-56	198	27	e2=40	e2=40	VERB
alkej-56	198	28	)	)	PUNCT
alkej-56	198	29	.	.	PUNCT
alkej-56	199	1	4	4	X
alkej-56	199	2	.	.	X
alkej-56	199	3	conclusion	conclusion	NOUN
alkej-56	199	4	natural	natural	ADJ
alkej-56	199	5	frequency	frequency	NOUN
alkej-56	199	6	and	and	CCONJ
alkej-56	199	7	buckling	buckle	VERB
alkej-56	199	8	stress	stress	NOUN
alkej-56	199	9	of	of	ADP
alkej-56	199	10	simply	simply	ADV
alkej-56	199	11	supported	support	VERB
alkej-56	199	12	cross	cross	ADJ
alkej-56	199	13	-	-	ADJ
alkej-56	199	14	ply	ply	ADJ
alkej-56	199	15	square	square	ADJ
alkej-56	199	16	plate	plate	NOUN
alkej-56	199	17	subject	subject	ADJ
alkej-56	199	18	to	to	ADP
alkej-56	199	19	initial	initial	ADJ
alkej-56	199	20	axial	axial	ADJ
alkej-56	199	21	stress	stress	NOUN
alkej-56	199	22	have	have	AUX
alkej-56	199	23	been	be	AUX
alkej-56	199	24	obtained	obtain	VERB
alkej-56	199	25	by	by	ADP
alkej-56	199	26	using	use	VERB
alkej-56	199	27	refind	refind	NOUN
alkej-56	199	28	plate	plate	NOUN
alkej-56	199	29	theory	theory	NOUN
alkej-56	199	30	.	.	PUNCT
alkej-56	200	1	it	it	PRON
alkej-56	200	2	is	be	AUX
alkej-56	200	3	observed	observe	VERB
alkej-56	200	4	good	good	ADJ
alkej-56	200	5	results	result	NOUN
alkej-56	200	6	for	for	ADP
alkej-56	200	7	natural	natural	ADJ
alkej-56	200	8	frequency	frequency	NOUN
alkej-56	200	9	and	and	CCONJ
alkej-56	200	10	critical	critical	ADJ
alkej-56	200	11	buckling	buckling	NOUN
alkej-56	200	12	for	for	ADP
alkej-56	200	13	uniaxial	uniaxial	ADJ
alkej-56	200	14	and	and	CCONJ
alkej-56	200	15	biaxial	biaxial	ADJ
alkej-56	200	16	load	load	NOUN
alkej-56	200	17	as	as	SCONJ
alkej-56	200	18	compared	compare	VERB
alkej-56	200	19	with	with	ADP
alkej-56	200	20	other	other	ADJ
alkej-56	200	21	researchers	researcher	NOUN
alkej-56	200	22	.	.	PUNCT
alkej-56	201	1	the	the	DET
alkej-56	201	2	following	follow	VERB
alkej-56	201	3	conclusions	conclusion	NOUN
alkej-56	201	4	may	may	AUX
alkej-56	201	5	be	be	AUX
alkej-56	201	6	drawn	draw	VERB
alkej-56	201	7	from	from	ADP
alkej-56	201	8	the	the	DET
alkej-56	201	9	present	present	ADJ
alkej-56	201	10	analysis	analysis	NOUN
alkej-56	201	11	:	:	PUNCT
alkej-56	201	12	1	1	X
alkej-56	201	13	.	.	NUM
alkej-56	201	14	refined	refined	ADJ
alkej-56	201	15	plate	plate	NOUN
alkej-56	201	16	theory	theory	NOUN
alkej-56	201	17	for	for	ADP
alkej-56	201	18	analyzing	analyze	VERB
alkej-56	201	19	natural	natural	ADJ
alkej-56	201	20	frequency	frequency	NOUN
alkej-56	201	21	and	and	CCONJ
alkej-56	201	22	buckling	buckling	NOUN
alkej-56	201	23	stresses	stress	NOUN
alkej-56	201	24	of	of	ADP
alkej-56	201	25	cross	cross	ADJ
alkej-56	201	26	-	-	ADJ
alkej-56	201	27	ply	ply	ADJ
alkej-56	201	28	square	square	ADJ
alkej-56	201	29	plate	plate	NOUN
alkej-56	201	30	has	have	AUX
alkej-56	201	31	been	be	AUX
alkej-56	201	32	presented	present	VERB
alkej-56	201	33	.	.	PUNCT
alkej-56	202	1	it	it	PRON
alkej-56	202	2	is	be	AUX
alkej-56	202	3	observed	observe	VERB
alkej-56	202	4	that	that	SCONJ
alkej-56	202	5	the	the	DET
alkej-56	202	6	natural	natural	ADJ
alkej-56	202	7	frequency	frequency	NOUN
alkej-56	202	8	and	and	CCONJ
alkej-56	202	9	buckling	buckling	NOUN
alkej-56	202	10	load	load	NOUN
alkej-56	202	11	increasing	increase	VERB
alkej-56	202	12	as	as	ADP
alkej-56	202	13	the	the	DET
alkej-56	202	14	number	number	NOUN
alkej-56	202	15	of	of	ADP
alkej-56	202	16	layer	layer	NOUN
alkej-56	202	17	and	and	CCONJ
alkej-56	202	18	thickness	thickness	NOUN
alkej-56	202	19	ratio	ratio	NOUN
alkej-56	202	20	increases	increase	NOUN
alkej-56	202	21	.	.	PUNCT
alkej-56	203	1	2	2	X
alkej-56	203	2	.	.	X
alkej-56	203	3	the	the	DET
alkej-56	203	4	buckling	buckling	NOUN
alkej-56	203	5	stresses	stress	NOUN
alkej-56	203	6	can	can	AUX
alkej-56	203	7	be	be	AUX
alkej-56	203	8	calculated	calculate	VERB
alkej-56	203	9	through	through	ADP
alkej-56	203	10	the	the	DET
alkej-56	203	11	stability	stability	NOUN
alkej-56	203	12	equation	equation	NOUN
alkej-56	203	13	as	as	ADP
alkej-56	203	14	eigen	eigen	PROPN
alkej-56	203	15	value	value	NOUN
alkej-56	203	16	problems	problem	NOUN
alkej-56	203	17	.	.	PUNCT
alkej-56	204	1	another	another	DET
alkej-56	204	2	method	method	NOUN
alkej-56	204	3	to	to	PART
alkej-56	204	4	obtain	obtain	VERB
alkej-56	204	5	the	the	DET
alkej-56	204	6	critical	critical	ADJ
alkej-56	204	7	stress	stress	NOUN
alkej-56	204	8	of	of	ADP
alkej-56	204	9	cross	cross	ADJ
alkej-56	204	10	-	-	ADJ
alkej-56	204	11	ply	ply	ADJ
alkej-56	204	12	plate	plate	NOUN
alkej-56	204	13	subject	subject	ADJ
alkej-56	204	14	to	to	ADP
alkej-56	204	15	axial	axial	ADJ
alkej-56	204	16	and	and	CCONJ
alkej-56	204	17	uniaxial	uniaxial	ADJ
alkej-56	204	18	inplane	inplane	NOUN
alkej-56	204	19	stresses	stress	NOUN
alkej-56	204	20	is	be	AUX
alkej-56	204	21	to	to	PART
alkej-56	204	22	compute	compute	VERB
alkej-56	204	23	natural	natural	ADJ
alkej-56	204	24	frequency	frequency	NOUN
alkej-56	204	25	by	by	ADP
alkej-56	204	26	increasing	increase	VERB
alkej-56	204	27	the	the	DET
alkej-56	204	28	absolute	absolute	ADJ
alkej-56	204	29	value	value	NOUN
alkej-56	204	30	of	of	ADP
alkej-56	204	31	compressive	compressive	ADJ
alkej-56	204	32	stress	stress	NOUN
alkej-56	204	33	until	until	ADP
alkej-56	204	34	the	the	DET
alkej-56	204	35	lowest	low	ADJ
alkej-56	204	36	natural	natural	ADJ
alkej-56	204	37	frequency	frequency	NOUN
alkej-56	204	38	vanishes	vanish	VERB
alkej-56	204	39	.	.	PUNCT
alkej-56	205	1	nomenclature	nomenclature	ADJ
alkej-56	205	2	symbol	symbol	NOUN
alkej-56	205	3	discretion	discretion	NOUN
alkej-56	205	4	units	unit	NOUN
alkej-56	205	5	a	a	DET
alkej-56	205	6	plate	plate	NOUN
alkej-56	205	7	dimension	dimension	NOUN
alkej-56	205	8	in	in	ADP
alkej-56	205	9	xdirection	xdirection	PROPN
alkej-56	205	10	m	m	PROPN
alkej-56	205	11	b	b	PROPN
alkej-56	205	12	plate	plate	NOUN
alkej-56	205	13	dimension	dimension	NOUN
alkej-56	205	14	in	in	ADP
alkej-56	205	15	ydirection	ydirection	NOUN
alkej-56	205	16	m	m	PROPN
alkej-56	205	17	h	h	NOUN
alkej-56	205	18	plate	plate	NOUN
alkej-56	205	19	thickness	thickness	PROPN
alkej-56	205	20	m	m	NOUN
alkej-56	205	21	a¿à	a¿à	PROPN
alkej-56	206	1	‚	‚	PROPN
alkej-56	206	2	b¿à	b¿à	X
alkej-56	206	3	‚	‚	X
alkej-56	206	4	d¿à	d¿à	X
alkej-56	206	5	‚	‚	X
alkej-56	206	6	b	b	SYM
alkej-56	206	7	¿	¿	PROPN
alkej-56	206	8	�	�	PROPN
alkej-56	206	9	extension	extension	NOUN
alkej-56	206	10	,	,	PUNCT
alkej-56	206	11	bending	bend	VERB
alkej-56	206	12	extension	extension	NOUN
alkej-56	206	13	coupling	coupling	NOUN
alkej-56	206	14	n	n	CCONJ
alkej-56	206	15	/	/	SYM
alkej-56	206	16	m	m	PROPN
alkej-56	206	17	e1	e1	PROPN
alkej-56	206	18	,	,	PUNCT
alkej-56	206	19	e2	e2	PROPN
alkej-56	206	20	,	,	PUNCT
alkej-56	206	21	e3	e3	NOUN
alkej-56	206	22	elastic	elastic	ADJ
alkej-56	206	23	modulus	modulus	NOUN
alkej-56	206	24	components	component	NOUN
alkej-56	206	25	gp	gp	X
alkej-56	207	1	g&g-	g&g-	PROPN
alkej-56	207	2	*	*	PROPN
alkej-56	207	3	,	,	PUNCT
alkej-56	207	4	g	g	PROPN
alkej-56	207	5	&	&	CCONJ
alkej-56	207	6	*	*	PROPN
alkej-56	207	7	shear	shear	NOUN
alkej-56	207	8	modulus	modulus	ADJ
alkej-56	207	9	components	component	NOUN
alkej-56	207	10	gp	gp	VERB
alkej-56	207	11	a	a	DET
alkej-56	207	12	/	/	SYM
alkej-56	207	13	h=100	h=100	PROPN
alkej-56	207	14	a	a	X
alkej-56	207	15	/	/	SYM
alkej-56	207	16	h=50	h=50	PROPN
alkej-56	207	17	a	a	PRON
alkej-56	207	18	/	/	SYM
alkej-56	207	19	h=10	h=10	PRON
alkej-56	207	20	a	a	NOUN
alkej-56	207	21	/	/	SYM
alkej-56	207	22	h=5	h=5	PROPN
alkej-56	207	23	ratio	ratio	NOUN
alkej-56	207	24	of	of	ADP
alkej-56	207	25	èéê	èéê	PROPN
alkej-56	207	26	18.759	18.759	NUM
alkej-56	207	27	18.585	18.585	NUM
alkej-56	207	28	14.78	14.78	NUM
alkej-56	207	29	10.176	10.176	NUM
alkej-56	207	30	0	0	NUM
alkej-56	207	31	17.79	17.79	NUM
alkej-56	207	32	17.632	17.632	NUM
alkej-56	207	33	14.02	14.02	NUM
alkej-56	207	34	9.654	9.654	NUM
alkej-56	207	35	0.1	0.1	NUM
alkej-56	207	36	16.77	16.77	NUM
alkej-56	207	37	16.623	16.623	NUM
alkej-56	207	38	13.22	13.22	NUM
alkej-56	207	39	9.102	9.102	NUM
alkej-56	207	40	0.2	0.2	NUM
alkej-56	207	41	15.96	15.96	NUM
alkej-56	207	42	15.550	15.550	NUM
alkej-56	207	43	12.36	12.36	NUM
alkej-56	207	44	8.514	8.514	NUM
alkej-56	207	45	0.3	0.3	NUM
alkej-56	207	46	14.35	14.35	NUM
alkej-56	207	47	14.39	14.39	NUM
alkej-56	207	48	11.44	11.44	NUM
alkej-56	207	49	7.882	7.882	NUM
alkej-56	207	50	0.4	0.4	NUM
alkej-56	207	51	13.26	13.26	NUM
alkej-56	207	52	13.142	13.142	NUM
alkej-56	207	53	10.45	10.45	NUM
alkej-56	207	54	7.195	7.195	NUM
alkej-56	207	55	0.5	0.5	NUM
alkej-56	207	56	11.86	11.86	NUM
alkej-56	207	57	11.754	11.754	NUM
alkej-56	207	58	9.34	9.34	NUM
alkej-56	207	59	6.436	6.436	NUM
alkej-56	207	60	0.6	0.6	NUM
alkej-56	207	61	10.27	10.27	NUM
alkej-56	207	62	10.179	10.179	NUM
alkej-56	207	63	8.09	8.09	NUM
alkej-56	207	64	5.574	5.574	NUM
alkej-56	207	65	0.7	0.7	NUM
alkej-56	207	66	8.38	8.38	NUM
alkej-56	207	67	8.311	8.311	NUM
alkej-56	207	68	6.61	6.61	NUM
alkej-56	207	69	4.551	4.551	NUM
alkej-56	207	70	0.8	0.8	NUM
alkej-56	207	71	5.93	5.93	NUM
alkej-56	207	72	5.877	5.877	NUM
alkej-56	207	73	4.67	4.67	NUM
alkej-56	207	74	3.218	3.218	NUM
alkej-56	207	75	0.9	0.9	NUM
alkej-56	207	76	0	0	NUM
alkej-56	207	77	0	0	NUM
alkej-56	207	78	0	0	NUM
alkej-56	207	79	0	0	NUM
alkej-56	207	80	1	1	NUM
alkej-56	207	81	ibtehal	ibtehal	PROPN
alkej-56	207	82	abbas	abbas	PROPN
alkej-56	207	83	sadiq	sadiq	PROPN
alkej-56	207	84	al	al	PROPN
alkej-56	207	85	-	-	PUNCT
alkej-56	207	86	khwarizmi	khwarizmi	PROPN
alkej-56	207	87	engineering	engineering	NOUN
alkej-56	207	88	journal	journal	PROPN
alkej-56	207	89	,	,	PUNCT
alkej-56	207	90	vol	vol	NOUN
alkej-56	207	91	.	.	PROPN
alkej-56	207	92	14	14	NUM
alkej-56	207	93	,	,	PUNCT
alkej-56	207	94	no	no	INTJ
alkej-56	207	95	.	.	NOUN
alkej-56	207	96	4	4	NUM
alkej-56	207	97	,	,	PUNCT
alkej-56	207	98	p.p	p.p	PROPN
alkej-56	207	99	.	.	NOUN
alkej-56	207	100	3444	3444	NUM
alkej-56	207	101	(	(	PUNCT
alkej-56	207	102	2018	2018	NUM
alkej-56	207	103	)	)	PUNCT
alkej-56	207	104	43	43	NUM
alkej-56	208	1	n	n	NUM
alkej-56	208	2	total	total	ADJ
alkej-56	208	3	number	number	NOUN
alkej-56	208	4	of	of	ADP
alkej-56	208	5	plate	plate	NOUN
alkej-56	208	6	layers	layer	NOUN
alkej-56	208	7	n	n	CCONJ
alkej-56	208	8	<	<	X
alkej-56	208	9	‚	‚	PROPN
alkej-56	208	10	nb	nb	NOUN
alkej-56	208	11	‚	‚	NOUN
alkej-56	208	12	n	n	CCONJ
alkej-56	208	13	<	<	X
alkej-56	208	14	b	b	NOUN
alkej-56	208	15	in	in	ADP
alkej-56	208	16	-	-	PUNCT
alkej-56	208	17	plan	plan	NOUN
alkej-56	208	18	force	force	NOUN
alkej-56	208	19	result	result	VERB
alkej-56	208	20	n	n	CCONJ
alkej-56	208	21	/	/	SYM
alkej-56	208	22	m	m	VERB
alkej-56	208	23	m	m	NOUN
alkej-56	208	24	<	<	X
alkej-56	208	25	�	�	PROPN
alkej-56	208	26	‚	‚	PROPN
alkej-56	208	27	mb	mb	PROPN
alkej-56	208	28	�	�	PROPN
alkej-56	208	29	‚	‚	NOUN
alkej-56	208	30	m	m	PROPN
alkej-56	208	31	<	<	X
alkej-56	208	32	b	b	X
alkej-56	208	33	�	�	PROPN
alkej-56	208	34	moment	moment	NOUN
alkej-56	208	35	result	result	NOUN
alkej-56	208	36	per	per	ADP
alkej-56	208	37	unit	unit	NOUN
alkej-56	208	38	length	length	NOUN
alkej-56	208	39	n.m	n.m	PROPN
alkej-56	208	40	/	/	SYM
alkej-56	208	41	m	m	NOUN
alkej-56	208	42	m	m	NOUN
alkej-56	208	43	<	<	X
alkej-56	208	44	�	�	PROPN
alkej-56	208	45	‚	‚	PROPN
alkej-56	208	46	mb	mb	PROPN
alkej-56	208	47	�	�	PROPN
alkej-56	208	48	‚	‚	NOUN
alkej-56	208	49	m	m	PROPN
alkej-56	208	50	<	<	X
alkej-56	208	51	b	b	PROPN
alkej-56	208	52	�	�	PROPN
alkej-56	208	53	result	result	NOUN
alkej-56	208	54	force	force	NOUN
alkej-56	208	55	per	per	ADP
alkej-56	208	56	unit	unit	NOUN
alkej-56	208	57	length	length	NOUN
alkej-56	208	58	n	n	CCONJ
alkej-56	208	59	/	/	SYM
alkej-56	208	60	m	m	VERB
alkej-56	208	61	q<=	q<=	X
alkej-56	208	62	�	�	PROPN
alkej-56	208	63	‚	‚	PROPN
alkej-56	208	64	qb=	qb=	PROPN
alkej-56	208	65	�	�	PROPN
alkej-56	208	66	transvers	transver	NOUN
alkej-56	208	67	shear	shear	PROPN
alkej-56	208	68	force	force	NOUN
alkej-56	208	69	result	result	VERB
alkej-56	209	1	n	n	PRON
alkej-56	209	2	qb=	qb=	PROPN
alkej-56	209	3	�	�	PROPN
alkej-56	209	4	‚	‚	NUM
alkej-56	209	5	q<=	q<=	PROPN
alkej-56	209	6	�	�	PROPN
alkej-56	209	7	transfers	transfer	NOUN
alkej-56	209	8	shear	shear	NOUN
alkej-56	209	9	force	force	NOUN
alkej-56	209	10	result	result	VERB
alkej-56	209	11	n	n	PROPN
alkej-56	209	12	x	x	NOUN
alkej-56	209	13	,	,	PUNCT
alkej-56	209	14	y	y	PROPN
alkej-56	209	15	,	,	PUNCT
alkej-56	209	16	z	z	NOUN
alkej-56	209	17	cartesian	cartesian	ADJ
alkej-56	209	18	coordinate	coordinate	NOUN
alkej-56	209	19	system	system	NOUN
alkej-56	209	20	m	m	VERB
alkej-56	209	21	ε	ε	X
alkej-56	209	22	<	<	X
alkej-56	209	23	εb	εb	ADP
alkej-56	209	24	‚	‚	NUM
alkej-56	209	25	ε=	ε=	ADJ
alkej-56	209	26	strain	strain	NOUN
alkej-56	209	27	components	component	NOUN
alkej-56	209	28	m	m	PROPN
alkej-56	209	29	/	/	SYM
alkej-56	209	30	m	m	PROPN
alkej-56	209	31	γ<=	γ<=	ADJ
alkej-56	209	32	γb=	γb=	PROPN
alkej-56	209	33	transvers	transver	NOUN
alkej-56	209	34	shear	shear	PROPN
alkej-56	209	35	strain	strain	VERB
alkej-56	209	36	m	m	PROPN
alkej-56	209	37	/	/	SYM
alkej-56	209	38	m	m	PROPN
alkej-56	209	39	σ	σ	NOUN
alkej-56	209	40	<	<	X
alkej-56	209	41	σb	σb	ADP
alkej-56	209	42	σ	σ	PROPN
alkej-56	209	43	<	<	PROPN
alkej-56	209	44	b	b	PROPN
alkej-56	209	45	σb=	σb=	PROPN
alkej-56	209	46	σ<=	σ<=	PRON
alkej-56	209	47	stress	stress	PROPN
alkej-56	209	48	components	component	NOUN
alkej-56	209	49	gpa	gpa	PROPN
alkej-56	209	50	v	v	PROPN
alkej-56	209	51	&	&	CCONJ
alkej-56	209	52	v-	v-	PROPN
alkej-56	209	53	&	&	CCONJ
alkej-56	209	54	poisson	poisson	PROPN
alkej-56	209	55	's	's	PART
alkej-56	209	56	ratio	ratio	NOUN
alkej-56	209	57	5	5	NUM
alkej-56	209	58	.	.	PUNCT
alkej-56	210	1	refrences	refrence	VERB
alkej-56	210	2	[	[	X
alkej-56	211	1	1	1	X
alkej-56	211	2	]	]	PUNCT
alkej-56	211	3	k.	k.	NOUN
alkej-56	211	4	swaminathan	swaminathan	PROPN
alkej-56	211	5	and	and	CCONJ
alkej-56	211	6	d.	d.	PROPN
alkej-56	211	7	ragounadin	ragounadin	PROPN
alkej-56	211	8	(	(	PUNCT
alkej-56	211	9	2004	2004	NUM
alkej-56	211	10	)	)	PUNCT
alkej-56	211	11	"	"	PUNCT
alkej-56	211	12	analytical	analytical	ADJ
alkej-56	211	13	solutions	solution	NOUN
alkej-56	211	14	using	use	VERB
alkej-56	211	15	a	a	DET
alkej-56	211	16	higher	high	ADJ
alkej-56	211	17	-	-	PUNCT
alkej-56	211	18	order	order	NOUN
alkej-56	211	19	refined	refined	ADJ
alkej-56	211	20	theory	theory	NOUN
alkej-56	211	21	for	for	ADP
alkej-56	211	22	the	the	DET
alkej-56	211	23	static	static	ADJ
alkej-56	211	24	analysis	analysis	NOUN
alkej-56	211	25	of	of	ADP
alkej-56	211	26	antisymmetric	antisymmetric	ADJ
alkej-56	211	27	angle	angle	NOUN
alkej-56	211	28	-	-	PUNCT
alkej-56	211	29	ply	ply	NOUN
alkej-56	211	30	composite	composite	ADJ
alkej-56	211	31	and	and	CCONJ
alkej-56	211	32	sandwich	sandwich	NOUN
alkej-56	211	33	plates	plate	NOUN
alkej-56	211	34	"	"	PUNCT
alkej-56	211	35	composite	composite	ADJ
alkej-56	211	36	structures	structure	NOUN
alkej-56	211	37	,	,	PUNCT
alkej-56	211	38	64	64	NUM
alkej-56	211	39	,	,	PUNCT
alkej-56	211	40	405	405	NUM
alkej-56	211	41	-	-	SYM
alkej-56	211	42	417	417	NUM
alkej-56	211	43	.	.	PUNCT
alkej-56	212	1	[	[	X
alkej-56	212	2	2	2	X
alkej-56	212	3	]	]	PUNCT
alkej-56	212	4	s.	s.	PROPN
alkej-56	212	5	e.	e.	PROPN
alkej-56	212	6	kim	kim	PROPN
alkej-56	212	7	,	,	PUNCT
alkej-56	212	8	h.	h.	PROPN
alkej-56	212	9	t.	t.	PROPN
alkej-56	212	10	thai	thai	PROPN
alkej-56	212	11	,	,	PUNCT
alkej-56	212	12	and	and	CCONJ
alkej-56	212	13	lee	lee	PROPN
alkej-56	212	14	,	,	PUNCT
alkej-56	212	15	j.	j.	PROPN
alkej-56	212	16	(	(	PUNCT
alkej-56	212	17	2009	2009	NUM
alkej-56	212	18	)	)	PUNCT
alkej-56	212	19	‘	'	PUNCT
alkej-56	212	20	buckling	buckle	VERB
alkej-56	212	21	analysis	analysis	NOUN
alkej-56	212	22	of	of	ADP
alkej-56	212	23	plates	plate	NOUN
alkej-56	212	24	using	use	VERB
alkej-56	212	25	the	the	DET
alkej-56	212	26	two	two	NUM
alkej-56	212	27	variable	variable	ADJ
alkej-56	212	28	refined	refined	ADJ
alkej-56	212	29	plate	plate	NOUN
alkej-56	212	30	theory	theory	NOUN
alkej-56	212	31	’	'	PUNCT
alkej-56	212	32	,	,	PUNCT
alkej-56	212	33	thin	thin	ADJ
alkej-56	212	34	-	-	PUNCT
alkej-56	212	35	walled	walled	ADJ
alkej-56	212	36	structures	structure	NOUN
alkej-56	212	37	,	,	PUNCT
alkej-56	212	38	47,455–462	47,455–462	NUM
alkej-56	212	39	.	.	PUNCT
alkej-56	213	1	[	[	X
alkej-56	213	2	3	3	NUM
alkej-56	213	3	]	]	X
alkej-56	213	4	seung	seung	PROPN
alkej-56	213	5	-	-	PUNCT
alkej-56	213	6	eock	eock	PROPN
alkej-56	213	7	kim	kim	PROPN
alkej-56	213	8	,	,	PUNCT
alkej-56	213	9	et	et	PROPN
alkej-56	213	10	al	al	PROPN
alkej-56	213	11	.	.	PROPN
alkej-56	213	12	2009	2009	NUM
alkej-56	213	13	‘	'	PUNCT
alkej-56	213	14	a	a	DET
alkej-56	213	15	two	two	NUM
alkej-56	213	16	variable	variable	ADJ
alkej-56	213	17	refined	refined	ADJ
alkej-56	213	18	plate	plate	NOUN
alkej-56	213	19	theory	theory	NOUN
alkej-56	213	20	for	for	ADP
alkej-56	213	21	laminated	laminated	ADJ
alkej-56	213	22	composite	composite	ADJ
alkej-56	213	23	plates	plate	NOUN
alkej-56	213	24	seung	seung	NOUN
alkej-56	213	25	-	-	PUNCT
alkej-56	213	26	eock	eock	NOUN
alkej-56	213	27	’	'	PUNCT
alkej-56	213	28	,	,	PUNCT
alkej-56	213	29	steel	steel	NOUN
alkej-56	213	30	and	and	CCONJ
alkej-56	213	31	composite	composite	ADJ
alkej-56	213	32	structures	structure	NOUN
alkej-56	213	33	,	,	PUNCT
alkej-56	213	34	22	22	NUM
alkej-56	213	35	,	,	PUNCT
alkej-56	213	36	713–732	713–732	NUM
alkej-56	213	37	.	.	PUNCT
alkej-56	214	1	[	[	X
alkej-56	214	2	4	4	NUM
alkej-56	214	3	]	]	X
alkej-56	214	4	h.t.thai	h.t.thai	ADJ
alkej-56	214	5	,	,	PUNCT
alkej-56	214	6	and	and	CCONJ
alkej-56	214	7	s.e.kim	s.e.kim	PROPN
alkej-56	214	8	,	,	PUNCT
alkej-56	214	9	2010	2010	NUM
alkej-56	214	10	‘	'	PUNCT
alkej-56	214	11	free	free	ADJ
alkej-56	214	12	vibration	vibration	NOUN
alkej-56	214	13	of	of	ADP
alkej-56	214	14	laminated	laminated	ADJ
alkej-56	214	15	composite	composite	ADJ
alkej-56	214	16	plates	plate	NOUN
alkej-56	214	17	using	use	VERB
alkej-56	214	18	two	two	NUM
alkej-56	214	19	variable	variable	ADJ
alkej-56	214	20	refined	refined	ADJ
alkej-56	214	21	plate	plate	NOUN
alkej-56	214	22	theory	theory	NOUN
alkej-56	214	23	’	'	PUNCT
alkej-56	214	24	,	,	PUNCT
alkej-56	214	25	international	international	ADJ
alkej-56	214	26	journal	journal	NOUN
alkej-56	214	27	of	of	ADP
alkej-56	214	28	mechanical	mechanical	ADJ
alkej-56	214	29	sciences	science	NOUN
alkej-56	214	30	.	.	PUNCT
alkej-56	215	1	52	52	NUM
alkej-56	215	2	,	,	PUNCT
alkej-56	215	3	626–633	626–633	NUM
alkej-56	215	4	.	.	PUNCT
alkej-56	216	1	[	[	X
alkej-56	216	2	5	5	NUM
alkej-56	216	3	]	]	X
alkej-56	216	4	h.t.thai	h.t.thai	ADJ
alkej-56	216	5	,	,	PUNCT
alkej-56	216	6	and	and	CCONJ
alkej-56	216	7	s.e.kim	s.e.kim	PROPN
alkej-56	216	8	,	,	PUNCT
alkej-56	216	9	2011	2011	NUM
alkej-56	216	10	‘	'	PUNCT
alkej-56	216	11	levy	levy	NOUN
alkej-56	216	12	-	-	PUNCT
alkej-56	216	13	type	type	NOUN
alkej-56	216	14	solution	solution	NOUN
alkej-56	216	15	for	for	ADP
alkej-56	216	16	buckling	buckle	VERB
alkej-56	216	17	analysis	analysis	NOUN
alkej-56	216	18	of	of	ADP
alkej-56	216	19	orthotropic	orthotropic	ADJ
alkej-56	216	20	plates	plate	NOUN
alkej-56	216	21	based	base	VERB
alkej-56	216	22	on	on	ADP
alkej-56	216	23	two	two	NUM
alkej-56	216	24	variable	variable	ADJ
alkej-56	216	25	refined	refined	ADJ
alkej-56	216	26	plate	plate	NOUN
alkej-56	216	27	theory	theory	NOUN
alkej-56	216	28	’	'	PUNCT
alkej-56	216	29	,	,	PUNCT
alkej-56	216	30	composite	composite	ADJ
alkej-56	216	31	structures	structure	NOUN
alkej-56	216	32	.	.	PUNCT
alkej-56	217	1	elsevier	elsevier	PROPN
alkej-56	217	2	ltd	ltd	PROPN
alkej-56	217	3	,	,	PUNCT
alkej-56	217	4	93,1738–1746	93,1738–1746	PRON
alkej-56	217	5	.	.	PUNCT
alkej-56	218	1	[	[	X
alkej-56	218	2	6	6	NUM
alkej-56	218	3	]	]	PUNCT
alkej-56	218	4	hadji	hadji	PROPN
alkej-56	218	5	,	,	PUNCT
alkej-56	218	6	l.	l.	PROPN
alkej-56	218	7	et	et	PROPN
alkej-56	218	8	al	al	PROPN
alkej-56	218	9	.	.	PROPN
alkej-56	218	10	2011	2011	NUM
alkej-56	218	11	‘	'	PUNCT
alkej-56	218	12	free	free	ADJ
alkej-56	218	13	vibration	vibration	NOUN
alkej-56	218	14	of	of	ADP
alkej-56	218	15	functionally	functionally	ADV
alkej-56	218	16	graded	grade	VERB
alkej-56	218	17	sandwich	sandwich	NOUN
alkej-56	218	18	plates	plate	NOUN
alkej-56	218	19	using	use	VERB
alkej-56	218	20	fourvariable	fourvariable	ADJ
alkej-56	218	21	refined	refined	ADJ
alkej-56	218	22	plate	plate	NOUN
alkej-56	218	23	theory	theory	NOUN
alkej-56	218	24	’	'	PUNCT
alkej-56	218	25	,	,	PUNCT
alkej-56	218	26	applied	apply	VERB
alkej-56	218	27	mathematics	mathematic	NOUN
alkej-56	218	28	and	and	CCONJ
alkej-56	218	29	mechanics	mechanic	NOUN
alkej-56	218	30	,	,	PUNCT
alkej-56	218	31	32,925–942	32,925–942	NUM
alkej-56	218	32	.	.	PUNCT
alkej-56	219	1	[	[	X
alkej-56	219	2	7	7	NUM
alkej-56	219	3	]	]	PUNCT
alkej-56	219	4	a.	a.	NOUN
alkej-56	219	5	benachour	benachour	NOUN
alkej-56	219	6	,	,	PUNCT
alkej-56	219	7	h.	h.	PROPN
alkej-56	219	8	tahar	tahar	PROPN
alkej-56	219	9	,	,	PUNCT
alkej-56	219	10	h.	h.	PROPN
alkej-56	219	11	atmane	atmane	PROPN
alkej-56	219	12	et	et	PROPN
alkej-56	219	13	al	al	PROPN
alkej-56	219	14	.	.	PROPN
alkej-56	220	1	(	(	PUNCT
alkej-56	220	2	2011	2011	NUM
alkej-56	220	3	)	)	PUNCT
alkej-56	220	4	"	"	PUNCT
alkej-56	220	5	a	a	DET
alkej-56	220	6	four	four	NUM
alkej-56	220	7	variable	variable	ADJ
alkej-56	220	8	refined	refined	ADJ
alkej-56	220	9	plate	plate	NOUN
alkej-56	220	10	theory	theory	NOUN
alkej-56	220	11	for	for	ADP
alkej-56	220	12	free	free	ADJ
alkej-56	220	13	vibrations	vibration	NOUN
alkej-56	220	14	of	of	ADP
alkej-56	220	15	functionally	functionally	ADV
alkej-56	220	16	graded	grade	VERB
alkej-56	220	17	plates	plate	NOUN
alkej-56	220	18	with	with	ADP
alkej-56	220	19	arbitrary	arbitrary	ADJ
alkej-56	220	20	gradient	gradient	NOUN
alkej-56	220	21	"	"	PUNCT
alkej-56	220	22	composites	composite	VERB
alkej-56	220	23	part	part	NOUN
alkej-56	220	24	b	b	NOUN
alkej-56	220	25	:	:	PUNCT
alkej-56	220	26	engineering,42	engineering,42	NOUN
alkej-56	220	27	,	,	PUNCT
alkej-56	220	28	1386	1386	NUM
alkej-56	220	29	-	-	SYM
alkej-56	220	30	1394	1394	NUM
alkej-56	220	31	.	.	PUNCT
alkej-56	221	1	[	[	X
alkej-56	221	2	8	8	NUM
alkej-56	221	3	]	]	X
alkej-56	221	4	h.t.thai	h.t.thai	ADJ
alkej-56	221	5	,	,	PUNCT
alkej-56	221	6	and	and	CCONJ
alkej-56	221	7	s.e.kim	s.e.kim	PROPN
alkej-56	221	8	,	,	PUNCT
alkej-56	221	9	2012	2012	NUM
alkej-56	221	10	‘	'	PUNCT
alkej-56	221	11	levy	levy	NOUN
alkej-56	221	12	-	-	PUNCT
alkej-56	221	13	type	type	NOUN
alkej-56	221	14	solution	solution	NOUN
alkej-56	221	15	for	for	ADP
alkej-56	221	16	free	free	ADJ
alkej-56	221	17	vibration	vibration	NOUN
alkej-56	221	18	analysis	analysis	NOUN
alkej-56	221	19	of	of	ADP
alkej-56	221	20	orthotropic	orthotropic	ADJ
alkej-56	221	21	plates	plate	NOUN
alkej-56	221	22	based	base	VERB
alkej-56	221	23	on	on	ADP
alkej-56	221	24	two	two	NUM
alkej-56	221	25	variable	variable	ADJ
alkej-56	221	26	refined	refined	ADJ
alkej-56	221	27	plate	plate	NOUN
alkej-56	221	28	theory	theory	NOUN
alkej-56	221	29	’	'	PUNCT
alkej-56	221	30	,	,	PUNCT
alkej-56	221	31	applied	apply	VERB
alkej-56	221	32	mathematical	mathematical	ADJ
alkej-56	221	33	modelling	model	VERB
alkej-56	221	34	36	36	NUM
alkej-56	221	35	,	,	PUNCT
alkej-56	221	36	3870–3882	3870–3882	NUM
alkej-56	221	37	.	.	PUNCT
alkej-56	222	1	[	[	X
alkej-56	222	2	9	9	NUM
alkej-56	222	3	]	]	X
alkej-56	222	4	j.n	j.n	PROPN
alkej-56	222	5	.	.	PROPN
alkej-56	222	6	reedy	reedy	PROPN
alkej-56	222	7	,	,	PUNCT
alkej-56	222	8	2004	2004	NUM
alkej-56	222	9	,	,	PUNCT
alkej-56	222	10	"	"	PUNCT
alkej-56	222	11	mechanics	mechanic	NOUN
alkej-56	222	12	of	of	ADP
alkej-56	222	13	laminated	laminate	VERB
alkej-56	222	14	composite	composite	ADJ
alkej-56	222	15	plates	plate	NOUN
alkej-56	222	16	and	and	CCONJ
alkej-56	222	17	shells	shell	NOUN
alkej-56	222	18	:	:	PUNCT
alkej-56	222	19	theory	theory	NOUN
alkej-56	222	20	and	and	CCONJ
alkej-56	222	21	analysis	analysis	NOUN
alkej-56	222	22	"	"	PUNCT
alkej-56	222	23	,	,	PUNCT
alkej-56	222	24	2nd	2nd	ADJ
alkej-56	222	25	ed	ed	NOUN
alkej-56	222	26	.	.	PUNCT
alkej-56	222	27	;	;	PUNCT
alkej-56	222	28	crc	crc	PROPN
alkej-56	222	29	press	press	PROPN
alkej-56	222	30	llc	llc	PROPN
alkej-56	222	31	.	.	PUNCT
alkej-56	223	1	[	[	X
alkej-56	223	2	10	10	NUM
alkej-56	223	3	]	]	X
alkej-56	223	4	noor	noor	PROPN
alkej-56	223	5	ak	ak	PROPN
alkej-56	223	6	.	.	PROPN
alkej-56	223	7	free	free	ADJ
alkej-56	223	8	vibrations	vibration	NOUN
alkej-56	223	9	of	of	ADP
alkej-56	223	10	multilayered	multilayered	ADJ
alkej-56	223	11	composite	composite	ADJ
alkej-56	223	12	plates	plate	NOUN
alkej-56	223	13	.	.	PUNCT
alkej-56	224	1	aiaa	aiaa	PROPN
alkej-56	224	2	j	j	PROPN
alkej-56	224	3	1973;11(7):1038–9	1973;11(7):1038–9	AUX
alkej-56	224	4	.	.	PUNCT
alkej-56	225	1	[	[	X
alkej-56	225	2	11	11	NUM
alkej-56	225	3	]	]	X
alkej-56	225	4	reddy	reddy	PROPN
alkej-56	225	5	jn	jn	PROPN
alkej-56	225	6	.	.	PROPN
alkej-56	225	7	mechanics	mechanic	NOUN
alkej-56	225	8	of	of	ADP
alkej-56	225	9	laminated	laminate	VERB
alkej-56	225	10	composite	composite	ADJ
alkej-56	225	11	plate	plate	NOUN
alkej-56	225	12	:	:	PUNCT
alkej-56	225	13	theory	theory	NOUN
alkej-56	225	14	and	and	CCONJ
alkej-56	225	15	analysis	analysis	NOUN
alkej-56	225	16	.	.	PUNCT
alkej-56	226	1	new	new	PROPN
alkej-56	226	2	york	york	PROPN
alkej-56	226	3	:	:	PUNCT
alkej-56	226	4	crc	crc	PROPN
alkej-56	226	5	press	press	NOUN
alkej-56	226	6	;	;	PUNCT
alkej-56	226	7	1997	1997	NUM
alkej-56	226	8	[	[	X
alkej-56	226	9	12	12	NUM
alkej-56	226	10	]	]	X
alkej-56	226	11	whitney	whitney	PROPN
alkej-56	226	12	jm	jm	PROPN
alkej-56	226	13	,	,	PUNCT
alkej-56	226	14	pagano	pagano	PROPN
alkej-56	226	15	nj	nj	PROPN
alkej-56	226	16	.	.	PUNCT
alkej-56	227	1	shear	shear	ADJ
alkej-56	227	2	deformation	deformation	NOUN
alkej-56	227	3	in	in	ADP
alkej-56	227	4	heterogeneous	heterogeneous	ADJ
alkej-56	227	5	anisotropic	anisotropic	NOUN
alkej-56	227	6	plates	plate	NOUN
alkej-56	227	7	.	.	PUNCT
alkej-56	228	1	j	j	PROPN
alkej-56	228	2	appl	appl	PROPN
alkej-56	228	3	mech	mech	PROPN
alkej-56	228	4	,	,	PUNCT
alkej-56	228	5	trans	trans	PROPN
alkej-56	228	6	asme	asme	PROPN
alkej-56	228	7	1970;37(4):1031–6	1970;37(4):1031–6	NUM
alkej-56	228	8	.	.	PUNCT
alkej-56	229	1	[	[	X
alkej-56	229	2	13	13	NUM
alkej-56	229	3	]	]	PUNCT
alkej-56	229	4	firas	firas	PROPN
alkej-56	229	5	hamzah	hamzah	PROPN
alkej-56	229	6	taya	taya	PROPN
alkej-56	229	7	,	,	PUNCT
alkej-56	229	8	2014	2014	NUM
alkej-56	229	9	"	"	PUNCT
alkej-56	229	10	buckling	buckle	VERB
alkej-56	229	11	and	and	CCONJ
alkej-56	229	12	vibration	vibration	NOUN
alkej-56	229	13	analysis	analysis	NOUN
alkej-56	229	14	of	of	ADP
alkej-56	229	15	laminated	laminated	ADJ
alkej-56	229	16	composite	composite	ADJ
alkej-56	229	17	plates	plate	NOUN
alkej-56	229	18	"	"	PUNCT
alkej-56	229	19	.	.	PUNCT
alkej-56	230	1	university	university	NOUN
alkej-56	230	2	of	of	ADP
alkej-56	230	3	baghdad	baghdad	PROPN
alkej-56	230	4	,	,	PUNCT
alkej-56	230	5	mechanical	mechanical	ADJ
alkej-56	230	6	engineering	engineering	NOUN
alkej-56	230	7	department	department	PROPN
alkej-56	230	8	.	.	PUNCT
alkej-56	231	1	)	)	PUNCT
alkej-56	232	1	2018	2018	NUM
alkej-56	232	2	(	(	PUNCT
alkej-56	232	3	3444	3444	NUM
alkej-56	232	4	،	،	X
alkej-56	232	5	صفحة4د	صفحة4د	ADJ
alkej-56	232	6	،	،	NOUN
alkej-56	232	7	العد14دجلة	العد14دجلة	PROPN
alkej-56	232	8	الخوارزمي	الخوارزمي	PROPN
alkej-56	232	9	الهندسية	الهندسية	PROPN
alkej-56	232	10	المجلمابتهال	المجلمابتهال	PROPN
alkej-56	232	11	عباس	عباس	VERB
alkej-56	232	12	صادق	صادق	ADV
alkej-56	232	13	44	44	NUM
alkej-56	232	14	باستخدام	باستخدام	NOUN
alkej-56	232	15	نظرية	نظرية	PROPN
alkej-56	232	16	اللوحة	اللوحة	PROPN
alkej-56	232	17	المكررةتحليل	المكررةتحليل	PROPN
alkej-56	232	18	االهتزازات	االهتزازات	PROPN
alkej-56	232	19	تحت	تحت	PROPN
alkej-56	232	20	تاثير	تاثير	PROPN
alkej-56	232	21	االجهاد	االجهاد	PROPN
alkej-56	232	22	االولي	االولي	NOUN
alkej-56	232	23	*	*	PUNCT
alkej-56	232	24	*	*	NOUN
alkej-56	232	25	كاني	كاني	PROPN
alkej-56	232	26	حسين	حسين	PROPN
alkej-56	232	27	باوة	باوة	PROPN
alkej-56	232	28	*	*	PROPN
alkej-56	232	29	ابتهال	ابتهال	PROPN
alkej-56	232	30	عباس	عباس	VERB
alkej-56	232	31	صادق	صادق	ADV
alkej-56	232	32	جامعة	جامعة	NOUN
alkej-56	232	33	بغداد	بغداد	PROPN
alkej-56	232	34	/	/	SYM
alkej-56	232	35	كلية	كلية	NOUN
alkej-56	232	36	الهندسة	الهندسة	NOUN
alkej-56	232	37	قسم	قسم	INTJ
alkej-56	232	38	الهندسة	الهندسة	VERB
alkej-56	232	39	الميكانيكية	الميكانيكية	ADJ
alkej-56	232	40	/	/	SYM
alkej-56	232	41	*	*	NOUN
alkej-56	232	42	،	،	X
alkej-56	232	43	*	*	PUNCT
alkej-56	232	44	*	*	PUNCT
alkej-56	233	1	ebtialabas@yahoo.com	ebtialabas@yahoo.com	X
alkej-56	233	2	:	:	PUNCT
alkej-56	233	3	البريد	البريد	VERB
alkej-56	233	4	االلكتروني	االلكتروني	NOUN
alkej-56	233	5	*	*	PUNCT
alkej-56	233	6	kanihussein1991@gmail.com	kanihussein1991@gmail.com	X
alkej-56	234	1	:	:	PUNCT
alkej-56	234	2	البريد	البريد	VERB
alkej-56	234	3	االلكتروني	االلكتروني	NOUN
alkej-56	234	4	*	*	PUNCT
alkej-56	234	5	*	*	PUNCT
alkej-56	234	6	الخالصة	الخالصة	PROPN
alkej-56	234	7	refind)باستخدام	refind)باستخدام	NOUN
alkej-56	234	8	نظرية	نظرية	NOUN
alkej-56	234	9	)	)	PUNCT
alkej-56	234	10	simply	simply	ADV
alkej-56	234	11	supported	support	VERB
alkej-56	234	12	(	(	PUNCT
alkej-56	234	13	ـيتم	ـيتم	NOUN
alkej-56	234	14	الحصول	الحصول	PROPN
alkej-56	234	15	على	على	PROPN
alkej-56	234	16	التردد	التردد	PROPN
alkej-56	234	17	الطبيعي	الطبيعي	PROPN
alkej-56	234	18	تحت	تحت	NOUN
alkej-56	234	19	الضغوط	الضغوط	PROPN
alkej-56	234	20	األولية	األولية	PROPN
alkej-56	234	21	للحصول	للحصول	PROPN
alkej-56	234	22	على	على	NOUN
alkej-56	234	23	صفائح	صفائح	NOUN
alkej-56	234	24	الرقائق	الرقائق	NOUN
alkej-56	234	25	المتقاطعة	المتقاطعة	NOUN
alkej-56	234	26	لل	لل	NOUN
alkej-56	234	27	plate	plate	NOUN
alkej-56	234	28	)	)	PUNCT
alkej-56	234	29	سماكة	سماكة	NOUN
alkej-56	234	30	اللوح	اللوح	NOUN
alkej-56	234	31	وتلبي	وتلبي	NOUN
alkej-56	234	32	الشروط	الشروط	PROPN
alkej-56	234	33	الحدودية	الحدودية	ADJ
alkej-56	234	34	للجر	للجر	PROPN
alkej-56	234	35	صفر	صفر	NOUN
alkej-56	234	36	على	على	NOUN
alkej-56	234	37	أسطح	أسطح	VERB
alkej-56	234	38	الصفيحة	الصفيحة	ADJ
alkej-56	234	39	عن	عن	PROPN
alkej-56	234	40	طريقهذه	طريقهذه	ADJ
alkej-56	234	41	النظرية	النظرية	NOUN
alkej-56	234	42	مسؤولة	مسؤولة	PROPN
alkej-56	234	43	عن	عن	PROPN
alkej-56	234	44	التوزيع	التوزيع	PROPN
alkej-56	234	45	المكافئ	المكافئ	NOUN
alkej-56	234	46	لساللة	لساللة	PROPN
alkej-56	234	47	القص	القص	PROPN
alkej-56	234	48	المستعرض	المستعرض	PROPN
alkej-56	234	49	استخدام	استخدام	PROPN
alkej-56	234	50	حل	حل	PROPN
alkej-56	234	51	تحت	تحت	PROPN
alkej-56	234	52	اإلجهاد	اإلجهاد	PROPN
alkej-56	234	53	األولي	األولي	NOUN
alkej-56	234	54	باستخدام	باستخدام	NOUN
alkej-56	234	55	مبدأ	مبدأ	VERB
alkej-56	234	56	هاملتون	هاملتون	NOUN
alkej-56	234	57	ويتم	ويتم	NOUN
alkej-56	234	58	حلها	حلها	PROPN
alkej-56	234	59	ب	ب	PRON
alkej-56	234	60	eigenدون	eigenدون	PROPN
alkej-56	234	61	استخدام	استخدام	PROPN
alkej-56	234	62	عوامل	عوامل	PROPN
alkej-56	234	63	تصحيح	تصحيح	PROPN
alkej-56	234	64	القص	القص	PROPN
alkej-56	234	65	.	.	PUNCT
alkej-56	235	1	يتم	يتم	PROPN
alkej-56	235	2	اشتقاق	اشتقاق	PROPN
alkej-56	235	3	المعادالت	المعادالت	PROPN
alkej-56	235	4	الحاكمة	الحاكمة	PROPN
alkej-56	235	5	لمشكلة	لمشكلة	VERB
alkej-56	235	6	قيمة	قيمة	NOUN
alkej-56	235	7	)	)	PUNCT
alkej-56	235	8	navier	navier	NOUN
alkej-56	235	9	(	(	PUNCT
alkej-56	235	10	ـ	ـ	NOUN
alkej-56	235	11	)	)	PUNCT
alkej-56	235	12	لأللواح	لأللواح	PROPN
alkej-56	235	13	الطبقية	الطبقية	PROPN
alkej-56	235	14	المتناظرة	المتناظرة	PROPN
alkej-56	235	15	المتماثلة	المتماثلة	AUX
alkej-56	235	16	وغير	وغير	PROPN
alkej-56	235	17	المتماثلة	المتماثلة	AUX
alkej-56	235	18	للsimply	للsimply	ADV
alkej-56	235	19	supported	support	VERB
alkej-56	235	20	.	.	PUNCT
alkej-56	236	1	(	(	PUNCT
alkej-56	236	2	تم	تم	PROPN
alkej-56	236	3	دراسة	دراسة	PROPN
alkej-56	236	4	تأثير	تأثير	PROPN
alkej-56	236	5	العديد	العديد	VERB
alkej-56	236	6	من	من	PRON
alkej-56	236	7	عوامل	عوامل	NOUN
alkej-56	236	8	التصميم	التصميم	PROPN
alkej-56	236	9	مثل	مثل	NOUN
alkej-56	236	10	نسبة	نسبة	NOUN
alkej-56	236	11	المعامل	المعامل	PROPN
alkej-56	236	12	(	(	PUNCT
alkej-56	236	13	e1	e1	PROPN
alkej-56	236	14	/	/	SYM
alkej-56	236	15	e2	e2	PROPN
alkej-56	236	16	)	)	PUNCT
alkej-56	236	17	ونسبة	ونسبة	NOUN
alkej-56	236	18	السمك	السمك	NOUN
alkej-56	236	19	)	)	PUNCT
alkej-56	236	20	(	(	PUNCT
alkej-56	236	21	a	a	PRON
alkej-56	236	22	/	/	SYM
alkej-56	236	23	h	h	NOUN
alkej-56	236	24	)	)	PUNCT
alkej-56	236	25	وعدد	وعدد	NOUN
alkej-56	236	26	الصفائح	الصفائح	NOUN
alkej-56	236	27	(	(	PUNCT
alkej-56	236	28	n	n	CCONJ
alkej-56	236	29	مقارنة	مقارنة	NOUN
alkej-56	236	30	النتائج	النتائج	NOUN
alkej-56	236	31	مع	مع	PROPN
alkej-56	236	32	باحثين	باحثين	PROPN
alkej-56	236	33	اخرين.على	اخرين.على	PUNCT
alkej-56	236	34	التردد	التردد	VERB
alkej-56	236	35	الطبيعي	الطبيعي	NOUN
alkej-56	236	36	والضغط	والضغط	VERB
alkej-56	236	37	على	على	NOUN
alkej-56	236	38	األلواح	األلواح	NOUN
alkej-56	236	39	المحبوسة	المحبوسة	NOUN
alkej-56	236	40	.	.	PUNCT
alkej-56	237	1	تتم	تتم	PROPN