id	sid	tid	token	lemma	pos
ejpam-3826	1	1	european	european	PROPN
ejpam-3826	1	2	journal	journal	PROPN
ejpam-3826	1	3	of	of	ADP
ejpam-3826	1	4	pure	pure	ADJ
ejpam-3826	1	5	and	and	CCONJ
ejpam-3826	1	6	applied	apply	VERB
ejpam-3826	1	7	mathematics	mathematic	NOUN
ejpam-3826	1	8	vol	vol	NOUN
ejpam-3826	1	9	.	.	PROPN
ejpam-3826	2	1	13	13	NUM
ejpam-3826	2	2	,	,	PUNCT
ejpam-3826	2	3	no	no	INTJ
ejpam-3826	2	4	.	.	NOUN
ejpam-3826	2	5	4	4	NUM
ejpam-3826	2	6	,	,	PUNCT
ejpam-3826	2	7	2020	2020	NUM
ejpam-3826	2	8	,	,	PUNCT
ejpam-3826	2	9	766	766	NUM
ejpam-3826	2	10	-	-	SYM
ejpam-3826	2	11	778	778	NUM
ejpam-3826	2	12	issn	issn	PROPN
ejpam-3826	2	13	1307	1307	NUM
ejpam-3826	2	14	-	-	SYM
ejpam-3826	2	15	5543	5543	NUM
ejpam-3826	2	16	–	–	PUNCT
ejpam-3826	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3826	2	18	published	publish	VERB
ejpam-3826	2	19	by	by	ADP
ejpam-3826	2	20	new	new	PROPN
ejpam-3826	2	21	york	york	PROPN
ejpam-3826	2	22	business	business	PROPN
ejpam-3826	2	23	global	global	ADJ
ejpam-3826	2	24	free	free	ADJ
ejpam-3826	2	25	vibration	vibration	NOUN
ejpam-3826	2	26	analysis	analysis	NOUN
ejpam-3826	2	27	of	of	ADP
ejpam-3826	2	28	thick	thick	ADJ
ejpam-3826	2	29	fgm	fgm	PROPN
ejpam-3826	2	30	spherical	spherical	ADJ
ejpam-3826	2	31	shells	shell	NOUN
ejpam-3826	2	32	based	base	VERB
ejpam-3826	2	33	on	on	ADP
ejpam-3826	2	34	a	a	DET
ejpam-3826	2	35	third	third	ADJ
ejpam-3826	2	36	-	-	PUNCT
ejpam-3826	2	37	order	order	NOUN
ejpam-3826	2	38	shear	shear	NOUN
ejpam-3826	2	39	deformation	deformation	NOUN
ejpam-3826	2	40	theory	theory	NOUN
ejpam-3826	2	41	mohammad	mohammad	PROPN
ejpam-3826	2	42	zannon1,∗,abdullah	zannon1,∗,abdullah	NUM
ejpam-3826	2	43	abu	abu	PROPN
ejpam-3826	2	44	-	-	PROPN
ejpam-3826	2	45	rqayiq2,ammar	rqayiq2,ammar	PROPN
ejpam-3826	2	46	al	al	PROPN
ejpam-3826	2	47	-	-	PUNCT
ejpam-3826	2	48	bdour1	bdour1	PROPN
ejpam-3826	2	49	1	1	NUM
ejpam-3826	2	50	department	department	NOUN
ejpam-3826	2	51	of	of	ADP
ejpam-3826	2	52	mathematics	mathematic	NOUN
ejpam-3826	2	53	,	,	PUNCT
ejpam-3826	2	54	tafila	tafila	NOUN
ejpam-3826	2	55	technical	technical	ADJ
ejpam-3826	2	56	university	university	NOUN
ejpam-3826	2	57	,	,	PUNCT
ejpam-3826	2	58	tafila	tafila	NOUN
ejpam-3826	2	59	,	,	PUNCT
ejpam-3826	2	60	jordan	jordan	PROPN
ejpam-3826	2	61	2	2	NUM
ejpam-3826	2	62	department	department	NOUN
ejpam-3826	2	63	of	of	ADP
ejpam-3826	2	64	mathematics	mathematic	NOUN
ejpam-3826	2	65	and	and	CCONJ
ejpam-3826	2	66	statistics	statistic	NOUN
ejpam-3826	2	67	,	,	PUNCT
ejpam-3826	2	68	texas	texas	PROPN
ejpam-3826	2	69	am	am	PROPN
ejpam-3826	2	70	university	university	NOUN
ejpam-3826	2	71	,	,	PUNCT
ejpam-3826	2	72	corpus	corpus	PROPN
ejpam-3826	2	73	christi	christi	PROPN
ejpam-3826	2	74	,	,	PUNCT
ejpam-3826	2	75	usa	usa	PROPN
ejpam-3826	2	76	abstract	abstract	NOUN
ejpam-3826	2	77	.	.	PUNCT
ejpam-3826	3	1	in	in	ADP
ejpam-3826	3	2	this	this	DET
ejpam-3826	3	3	paper	paper	NOUN
ejpam-3826	3	4	,	,	PUNCT
ejpam-3826	3	5	we	we	PRON
ejpam-3826	3	6	consider	consider	VERB
ejpam-3826	3	7	problems	problem	NOUN
ejpam-3826	3	8	associated	associate	VERB
ejpam-3826	3	9	with	with	ADP
ejpam-3826	3	10	free	free	ADJ
ejpam-3826	3	11	vibration	vibration	NOUN
ejpam-3826	3	12	of	of	ADP
ejpam-3826	3	13	functionally	functionally	ADV
ejpam-3826	3	14	graded	grade	VERB
ejpam-3826	3	15	thick	thick	ADJ
ejpam-3826	3	16	spherical	spherical	ADJ
ejpam-3826	3	17	shells	shell	NOUN
ejpam-3826	3	18	.	.	PUNCT
ejpam-3826	4	1	we	we	PRON
ejpam-3826	4	2	perform	perform	VERB
ejpam-3826	4	3	our	our	PRON
ejpam-3826	4	4	analysis	analysis	NOUN
ejpam-3826	4	5	by	by	ADP
ejpam-3826	4	6	collecting	collect	VERB
ejpam-3826	4	7	the	the	DET
ejpam-3826	4	8	radial	radial	ADJ
ejpam-3826	4	9	basis	basis	NOUN
ejpam-3826	4	10	functions	function	NOUN
ejpam-3826	4	11	,	,	PUNCT
ejpam-3826	4	12	according	accord	VERB
ejpam-3826	4	13	to	to	ADP
ejpam-3826	4	14	the	the	DET
ejpam-3826	4	15	third	third	ADJ
ejpam-3826	4	16	-	-	PUNCT
ejpam-3826	4	17	order	order	NOUN
ejpam-3826	4	18	shear	shear	NOUN
ejpam-3826	4	19	deformation	deformation	NOUN
ejpam-3826	4	20	theory	theory	NOUN
ejpam-3826	4	21	that	that	PRON
ejpam-3826	4	22	accounts	account	VERB
ejpam-3826	4	23	the	the	DET
ejpam-3826	4	24	thickness	thickness	NOUN
ejpam-3826	4	25	deformation	deformation	NOUN
ejpam-3826	4	26	consuming	consume	VERB
ejpam-3826	4	27	the	the	DET
ejpam-3826	4	28	principle	principle	NOUN
ejpam-3826	4	29	of	of	ADP
ejpam-3826	4	30	virtual	virtual	ADJ
ejpam-3826	4	31	work	work	NOUN
ejpam-3826	4	32	.	.	PUNCT
ejpam-3826	5	1	numerical	numerical	ADJ
ejpam-3826	5	2	results	result	NOUN
ejpam-3826	5	3	which	which	PRON
ejpam-3826	5	4	include	include	VERB
ejpam-3826	5	5	spherical	spherical	ADJ
ejpam-3826	5	6	shell	shell	NOUN
ejpam-3826	5	7	panels	panel	NOUN
ejpam-3826	5	8	with	with	ADP
ejpam-3826	5	9	all	all	DET
ejpam-3826	5	10	edges	edge	NOUN
ejpam-3826	5	11	simply	simply	ADV
ejpam-3826	5	12	supported	support	VERB
ejpam-3826	5	13	or	or	CCONJ
ejpam-3826	5	14	clamped	clamp	VERB
ejpam-3826	5	15	are	be	AUX
ejpam-3826	5	16	presented	present	VERB
ejpam-3826	5	17	to	to	PART
ejpam-3826	5	18	validate	validate	VERB
ejpam-3826	5	19	the	the	DET
ejpam-3826	5	20	accuracy	accuracy	NOUN
ejpam-3826	5	21	of	of	ADP
ejpam-3826	5	22	the	the	DET
ejpam-3826	5	23	present	present	ADJ
ejpam-3826	5	24	approach	approach	NOUN
ejpam-3826	5	25	.	.	PUNCT
ejpam-3826	6	1	2020	2020	NUM
ejpam-3826	6	2	mathematics	mathematic	NOUN
ejpam-3826	6	3	subject	subject	NOUN
ejpam-3826	6	4	classifications	classification	NOUN
ejpam-3826	6	5	:	:	PUNCT
ejpam-3826	6	6	74h15	74h15	NUM
ejpam-3826	6	7	,	,	PUNCT
ejpam-3826	6	8	74h45	74h45	NUM
ejpam-3826	6	9	,	,	PUNCT
ejpam-3826	6	10	74s30	74s30	NUM
ejpam-3826	6	11	key	key	ADJ
ejpam-3826	6	12	words	word	NOUN
ejpam-3826	6	13	and	and	CCONJ
ejpam-3826	6	14	phrases	phrase	NOUN
ejpam-3826	6	15	:	:	PUNCT
ejpam-3826	6	16	free	free	ADJ
ejpam-3826	6	17	vibration	vibration	NOUN
ejpam-3826	6	18	,	,	PUNCT
ejpam-3826	6	19	spherical	spherical	ADJ
ejpam-3826	6	20	shells	shell	NOUN
ejpam-3826	6	21	,	,	PUNCT
ejpam-3826	6	22	functionally	functionally	ADV
ejpam-3826	6	23	graded	grade	VERB
ejpam-3826	6	24	materials	material	NOUN
ejpam-3826	6	25	,	,	PUNCT
ejpam-3826	6	26	radial	radial	ADJ
ejpam-3826	6	27	basis	basis	NOUN
ejpam-3826	6	28	functions	function	NOUN
ejpam-3826	6	29	1	1	NUM
ejpam-3826	6	30	.	.	PUNCT
ejpam-3826	7	1	introduction	introduction	NOUN
ejpam-3826	7	2	functionally	functionally	ADV
ejpam-3826	7	3	graded	grade	VERB
ejpam-3826	7	4	materials	material	NOUN
ejpam-3826	7	5	(	(	PUNCT
ejpam-3826	7	6	fgm	fgm	PROPN
ejpam-3826	7	7	)	)	PUNCT
ejpam-3826	7	8	have	have	VERB
ejpam-3826	7	9	enormous	enormous	ADJ
ejpam-3826	7	10	application	application	NOUN
ejpam-3826	7	11	potential	potential	NOUN
ejpam-3826	7	12	in	in	ADP
ejpam-3826	7	13	modern	modern	ADJ
ejpam-3826	7	14	technology	technology	NOUN
ejpam-3826	7	15	such	such	ADJ
ejpam-3826	7	16	as	as	ADP
ejpam-3826	7	17	aerospace	aerospace	NOUN
ejpam-3826	7	18	.	.	PUNCT
ejpam-3826	8	1	the	the	DET
ejpam-3826	8	2	use	use	NOUN
ejpam-3826	8	3	of	of	ADP
ejpam-3826	8	4	fgm	fgm	PROPN
ejpam-3826	8	5	provides	provide	VERB
ejpam-3826	8	6	means	mean	NOUN
ejpam-3826	8	7	to	to	PART
ejpam-3826	8	8	solve	solve	VERB
ejpam-3826	8	9	the	the	DET
ejpam-3826	8	10	problem	problem	NOUN
ejpam-3826	8	11	of	of	ADP
ejpam-3826	8	12	high	high	ADJ
ejpam-3826	8	13	transverse	transverse	ADJ
ejpam-3826	8	14	shear	shear	NOUN
ejpam-3826	8	15	stresses	stress	NOUN
ejpam-3826	8	16	,	,	PUNCT
ejpam-3826	8	17	which	which	PRON
ejpam-3826	8	18	are	be	AUX
ejpam-3826	8	19	induced	induce	VERB
ejpam-3826	8	20	when	when	SCONJ
ejpam-3826	8	21	two	two	NUM
ejpam-3826	8	22	similar	similar	ADJ
ejpam-3826	8	23	materials	material	NOUN
ejpam-3826	8	24	with	with	ADP
ejpam-3826	8	25	different	different	ADJ
ejpam-3826	8	26	properties	property	NOUN
ejpam-3826	8	27	are	be	AUX
ejpam-3826	8	28	bonded	bond	VERB
ejpam-3826	8	29	.	.	PUNCT
ejpam-3826	9	1	the	the	DET
ejpam-3826	9	2	material	material	NOUN
ejpam-3826	9	3	properties	property	NOUN
ejpam-3826	9	4	are	be	AUX
ejpam-3826	9	5	varied	varied	ADJ
ejpam-3826	9	6	over	over	ADP
ejpam-3826	9	7	the	the	DET
ejpam-3826	9	8	thickness	thickness	NOUN
ejpam-3826	9	9	of	of	ADP
ejpam-3826	9	10	the	the	DET
ejpam-3826	9	11	bond	bond	NOUN
ejpam-3826	9	12	by	by	ADP
ejpam-3826	9	13	mixing	mix	VERB
ejpam-3826	9	14	the	the	DET
ejpam-3826	9	15	different	different	ADJ
ejpam-3826	9	16	materials	material	NOUN
ejpam-3826	9	17	.	.	PUNCT
ejpam-3826	10	1	fgm	fgm	PROPN
ejpam-3826	10	2	can	can	AUX
ejpam-3826	10	3	minimize	minimize	VERB
ejpam-3826	10	4	the	the	DET
ejpam-3826	10	5	thermal	thermal	ADJ
ejpam-3826	10	6	stress	stress	NOUN
ejpam-3826	10	7	concentration	concentration	NOUN
ejpam-3826	10	8	produced	produce	VERB
ejpam-3826	10	9	by	by	ADP
ejpam-3826	10	10	the	the	DET
ejpam-3826	10	11	high	high	ADJ
ejpam-3826	10	12	temperature	temperature	NOUN
ejpam-3826	10	13	gradient	gradient	NOUN
ejpam-3826	10	14	.	.	PUNCT
ejpam-3826	11	1	the	the	DET
ejpam-3826	11	2	vibration	vibration	NOUN
ejpam-3826	11	3	of	of	ADP
ejpam-3826	11	4	the	the	DET
ejpam-3826	11	5	response	response	NOUN
ejpam-3826	11	6	of	of	ADP
ejpam-3826	11	7	fgm	fgm	PROPN
ejpam-3826	11	8	beams	beam	NOUN
ejpam-3826	11	9	has	have	AUX
ejpam-3826	11	10	been	be	AUX
ejpam-3826	11	11	studied	study	VERB
ejpam-3826	11	12	in	in	ADP
ejpam-3826	11	13	different	different	ADJ
ejpam-3826	11	14	ways	way	NOUN
ejpam-3826	11	15	,	,	PUNCT
ejpam-3826	11	16	including	include	VERB
ejpam-3826	11	17	analytical	analytical	ADJ
ejpam-3826	11	18	studies	study	NOUN
ejpam-3826	11	19	,	,	PUNCT
ejpam-3826	11	20	numerical	numerical	ADJ
ejpam-3826	11	21	approaches	approach	NOUN
ejpam-3826	11	22	,	,	PUNCT
ejpam-3826	11	23	and	and	CCONJ
ejpam-3826	11	24	the	the	DET
ejpam-3826	11	25	finite	finite	ADJ
ejpam-3826	11	26	element	element	NOUN
ejpam-3826	11	27	method	method	NOUN
ejpam-3826	11	28	.	.	PUNCT
ejpam-3826	12	1	the	the	DET
ejpam-3826	12	2	latter	latter	ADJ
ejpam-3826	12	3	method	method	NOUN
ejpam-3826	12	4	is	be	AUX
ejpam-3826	12	5	the	the	DET
ejpam-3826	12	6	most	most	ADV
ejpam-3826	12	7	common	common	ADJ
ejpam-3826	12	8	numerical	numerical	ADJ
ejpam-3826	12	9	procedure	procedure	NOUN
ejpam-3826	12	10	for	for	ADP
ejpam-3826	12	11	the	the	DET
ejpam-3826	12	12	analysis	analysis	NOUN
ejpam-3826	12	13	of	of	ADP
ejpam-3826	12	14	the	the	DET
ejpam-3826	12	15	shells	shell	NOUN
ejpam-3826	12	16	.	.	PUNCT
ejpam-3826	13	1	continuous	continuous	ADJ
ejpam-3826	13	2	development	development	NOUN
ejpam-3826	13	3	has	have	AUX
ejpam-3826	13	4	resulted	result	VERB
ejpam-3826	13	5	in	in	ADP
ejpam-3826	13	6	complex	complex	ADJ
ejpam-3826	13	7	structural	structural	ADJ
ejpam-3826	13	8	designs	design	NOUN
ejpam-3826	13	9	of	of	ADP
ejpam-3826	13	10	the	the	DET
ejpam-3826	13	11	materials	material	NOUN
ejpam-3826	13	12	;	;	PUNCT
ejpam-3826	13	13	we	we	PRON
ejpam-3826	13	14	therefore	therefore	ADV
ejpam-3826	13	15	require	require	VERB
ejpam-3826	13	16	a	a	DET
ejpam-3826	13	17	careful	careful	ADJ
ejpam-3826	13	18	analysis	analysis	NOUN
ejpam-3826	13	19	in	in	ADP
ejpam-3826	13	20	addition	addition	NOUN
ejpam-3826	13	21	to	to	ADP
ejpam-3826	13	22	the	the	DET
ejpam-3826	13	23	numerical	numerical	ADJ
ejpam-3826	13	24	methods	method	NOUN
ejpam-3826	13	25	to	to	PART
ejpam-3826	13	26	solve	solve	VERB
ejpam-3826	13	27	the	the	DET
ejpam-3826	13	28	mathematical	mathematical	ADJ
ejpam-3826	13	29	shell	shell	NOUN
ejpam-3826	13	30	models	model	NOUN
ejpam-3826	13	31	of	of	ADP
ejpam-3826	13	32	these	these	DET
ejpam-3826	13	33	complex	complex	ADJ
ejpam-3826	13	34	structures	structure	NOUN
ejpam-3826	13	35	.	.	PUNCT
ejpam-3826	14	1	spherical	spherical	ADJ
ejpam-3826	14	2	shells	shell	NOUN
ejpam-3826	14	3	are	be	AUX
ejpam-3826	14	4	used	use	VERB
ejpam-3826	14	5	in	in	ADP
ejpam-3826	14	6	many	many	ADJ
ejpam-3826	14	7	applications	application	NOUN
ejpam-3826	14	8	,	,	PUNCT
ejpam-3826	14	9	for	for	ADP
ejpam-3826	14	10	example	example	NOUN
ejpam-3826	14	11	,	,	PUNCT
ejpam-3826	14	12	in	in	ADP
ejpam-3826	14	13	circular	circular	ADJ
ejpam-3826	14	14	forms	form	NOUN
ejpam-3826	14	15	such	such	ADJ
ejpam-3826	14	16	as	as	ADP
ejpam-3826	14	17	the	the	DET
ejpam-3826	14	18	nose	nose	NOUN
ejpam-3826	14	19	of	of	ADP
ejpam-3826	14	20	a	a	DET
ejpam-3826	14	21	plane	plane	NOUN
ejpam-3826	14	22	or	or	CCONJ
ejpam-3826	14	23	the	the	DET
ejpam-3826	14	24	caps	cap	NOUN
ejpam-3826	14	25	of	of	ADP
ejpam-3826	14	26	pressurized	pressurized	ADJ
ejpam-3826	14	27	cylindrical	cylindrical	ADJ
ejpam-3826	14	28	tanks	tank	NOUN
ejpam-3826	14	29	.	.	PUNCT
ejpam-3826	15	1	the	the	DET
ejpam-3826	15	2	geometrical	geometrical	ADJ
ejpam-3826	15	3	property	property	NOUN
ejpam-3826	15	4	of	of	ADP
ejpam-3826	15	5	functionally	functionally	ADV
ejpam-3826	15	6	graded	grade	VERB
ejpam-3826	15	7	(	(	PUNCT
ejpam-3826	15	8	fg	fg	NOUN
ejpam-3826	15	9	)	)	PUNCT
ejpam-3826	15	10	spherical	spherical	ADJ
ejpam-3826	15	11	shells	shell	NOUN
ejpam-3826	15	12	also	also	ADV
ejpam-3826	15	13	leads	lead	VERB
ejpam-3826	15	14	to	to	ADP
ejpam-3826	15	15	applications	application	NOUN
ejpam-3826	15	16	such	such	ADJ
ejpam-3826	15	17	as	as	ADP
ejpam-3826	15	18	various	various	ADJ
ejpam-3826	15	19	∗corresponding	∗corresponde	VERB
ejpam-3826	15	20	author	author	NOUN
ejpam-3826	15	21	.	.	PUNCT
ejpam-3826	16	1	doi	doi	NOUN
ejpam-3826	16	2	:	:	PUNCT
ejpam-3826	16	3	https://doi.org/10.29020/nybg.ejpam.v13i4.3826	https://doi.org/10.29020/nybg.ejpam.v13i4.3826	PROPN
ejpam-3826	16	4	email	email	NOUN
ejpam-3826	16	5	addresses	address	NOUN
ejpam-3826	16	6	:	:	PUNCT
ejpam-3826	16	7	zanno1ms@gmail.com	zanno1ms@gmail.com	NUM
ejpam-3826	16	8	(	(	PUNCT
ejpam-3826	16	9	m.	m.	NOUN
ejpam-3826	16	10	zannon	zannon	NOUN
ejpam-3826	16	11	)	)	PUNCT
ejpam-3826	16	12	,	,	PUNCT
ejpam-3826	16	13	abdullah.aburqayiq@tamucc.edu	abdullah.aburqayiq@tamucc.edu	X
ejpam-3826	16	14	(	(	PUNCT
ejpam-3826	16	15	a.	a.	NOUN
ejpam-3826	16	16	abu	abu	PROPN
ejpam-3826	16	17	-	-	PUNCT
ejpam-3826	16	18	rqayiq	rqayiq	NOUN
ejpam-3826	16	19	)	)	PUNCT
ejpam-3826	16	20	,	,	PUNCT
ejpam-3826	16	21	ammarbdoor@gmail.com	ammarbdoor@gmail.com	X
ejpam-3826	16	22	(	(	PUNCT
ejpam-3826	16	23	a.	a.	PROPN
ejpam-3826	16	24	al	al	PROPN
ejpam-3826	16	25	-	-	PUNCT
ejpam-3826	16	26	bdour	bdour	NOUN
ejpam-3826	16	27	)	)	PUNCT
ejpam-3826	16	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3826	17	1	766	766	NUM
ejpam-3826	17	2	c	c	AUX
ejpam-3826	17	3	©	©	NOUN
ejpam-3826	17	4	2020	2020	NUM
ejpam-3826	17	5	ejpam	ejpam	VERB
ejpam-3826	17	6	all	all	DET
ejpam-3826	17	7	rights	right	NOUN
ejpam-3826	17	8	reserved	reserve	VERB
ejpam-3826	17	9	.	.	PUNCT
ejpam-3826	18	1	m.	m.	NOUN
ejpam-3826	18	2	zannon	zannon	PROPN
ejpam-3826	18	3	,	,	PUNCT
ejpam-3826	18	4	a.	a.	PROPN
ejpam-3826	18	5	abu	abu	PROPN
ejpam-3826	18	6	-	-	PUNCT
ejpam-3826	18	7	rqayiq	rqayiq	PROPN
ejpam-3826	18	8	,	,	PUNCT
ejpam-3826	18	9	a.	a.	PROPN
ejpam-3826	18	10	al	al	PROPN
ejpam-3826	18	11	-	-	PUNCT
ejpam-3826	18	12	bdour	bdour	PROPN
ejpam-3826	18	13	/	/	SYM
ejpam-3826	18	14	eur	eur	PROPN
ejpam-3826	18	15	.	.	PUNCT
ejpam-3826	19	1	j.	j.	PROPN
ejpam-3826	19	2	pure	pure	PROPN
ejpam-3826	19	3	appl	appl	PROPN
ejpam-3826	19	4	.	.	PROPN
ejpam-3826	19	5	math	math	PROPN
ejpam-3826	19	6	,	,	PUNCT
ejpam-3826	19	7	13	13	NUM
ejpam-3826	19	8	(	(	PUNCT
ejpam-3826	19	9	4	4	NUM
ejpam-3826	19	10	)	)	PUNCT
ejpam-3826	19	11	(	(	PUNCT
ejpam-3826	19	12	2020	2020	NUM
ejpam-3826	19	13	)	)	PUNCT
ejpam-3826	19	14	,	,	PUNCT
ejpam-3826	19	15	766	766	NUM
ejpam-3826	19	16	-	-	SYM
ejpam-3826	19	17	778	778	NUM
ejpam-3826	19	18	767	767	NUM
ejpam-3826	19	19	reservoirs	reservoir	NOUN
ejpam-3826	19	20	,	,	PUNCT
ejpam-3826	19	21	interstage	interstage	NOUN
ejpam-3826	19	22	and	and	CCONJ
ejpam-3826	19	23	spherical	spherical	ADJ
ejpam-3826	19	24	caps	cap	NOUN
ejpam-3826	19	25	[	[	X
ejpam-3826	19	26	10],[12	10],[12	PROPN
ejpam-3826	19	27	]	]	PUNCT
ejpam-3826	19	28	.	.	PUNCT
ejpam-3826	20	1	tomabene	tomabene	NOUN
ejpam-3826	20	2	and	and	CCONJ
ejpam-3826	20	3	viola	viola	NOUN
ejpam-3826	20	4	[	[	X
ejpam-3826	20	5	21	21	NUM
ejpam-3826	20	6	]	]	PUNCT
ejpam-3826	20	7	carried	carry	VERB
ejpam-3826	20	8	out	out	ADP
ejpam-3826	20	9	several	several	ADJ
ejpam-3826	20	10	studies	study	NOUN
ejpam-3826	20	11	on	on	ADP
ejpam-3826	20	12	vibration	vibration	NOUN
ejpam-3826	20	13	solutions	solution	NOUN
ejpam-3826	20	14	for	for	ADP
ejpam-3826	20	15	fg	fg	PROPN
ejpam-3826	20	16	spherical	spherical	ADJ
ejpam-3826	20	17	shell	shell	NOUN
ejpam-3826	20	18	structures	structure	NOUN
ejpam-3826	20	19	by	by	ADP
ejpam-3826	20	20	applying	apply	VERB
ejpam-3826	20	21	the	the	DET
ejpam-3826	20	22	gdq	gdq	NOUN
ejpam-3826	20	23	method	method	NOUN
ejpam-3826	20	24	.	.	PUNCT
ejpam-3826	21	1	considering	consider	VERB
ejpam-3826	21	2	the	the	DET
ejpam-3826	21	3	stretching	stretching	NOUN
ejpam-3826	21	4	and	and	CCONJ
ejpam-3826	21	5	predominantly	predominantly	ADV
ejpam-3826	21	6	flexural	flexural	ADJ
ejpam-3826	21	7	vibration	vibration	NOUN
ejpam-3826	21	8	,	,	PUNCT
ejpam-3826	21	9	reddy	reddy	PROPN
ejpam-3826	21	10	and	and	CCONJ
ejpam-3826	21	11	cheng	cheng	PROPN
ejpam-3826	22	1	[	[	X
ejpam-3826	22	2	17	17	NUM
ejpam-3826	22	3	]	]	PUNCT
ejpam-3826	22	4	discussed	discuss	VERB
ejpam-3826	22	5	the	the	DET
ejpam-3826	22	6	properties	property	NOUN
ejpam-3826	22	7	of	of	ADP
ejpam-3826	22	8	fg	fg	PROPN
ejpam-3826	22	9	spherical	spherical	ADJ
ejpam-3826	22	10	,	,	PUNCT
ejpam-3826	22	11	shallow	shallow	ADJ
ejpam-3826	22	12	shells	shell	NOUN
ejpam-3826	22	13	by	by	ADP
ejpam-3826	22	14	applying	apply	VERB
ejpam-3826	22	15	the	the	DET
ejpam-3826	22	16	classical	classical	ADJ
ejpam-3826	22	17	theory	theory	NOUN
ejpam-3826	22	18	and	and	CCONJ
ejpam-3826	22	19	the	the	DET
ejpam-3826	22	20	first	first	ADJ
ejpam-3826	22	21	-	-	PUNCT
ejpam-3826	22	22	order	order	NOUN
ejpam-3826	22	23	and	and	CCONJ
ejpam-3826	22	24	third	third	ADJ
ejpam-3826	22	25	-	-	PUNCT
ejpam-3826	22	26	order	order	NOUN
ejpam-3826	22	27	shear	shear	NOUN
ejpam-3826	22	28	deformation	deformation	NOUN
ejpam-3826	22	29	theories	theory	NOUN
ejpam-3826	22	30	.	.	PUNCT
ejpam-3826	23	1	in	in	ADP
ejpam-3826	23	2	the	the	DET
ejpam-3826	23	3	structure	structure	NOUN
ejpam-3826	23	4	of	of	ADP
ejpam-3826	23	5	the	the	DET
ejpam-3826	23	6	higher	high	ADJ
ejpam-3826	23	7	-	-	PUNCT
ejpam-3826	23	8	order	order	NOUN
ejpam-3826	23	9	shear	shear	NOUN
ejpam-3826	23	10	deformation	deformation	NOUN
ejpam-3826	23	11	theory	theory	NOUN
ejpam-3826	23	12	(	(	PUNCT
ejpam-3826	23	13	hsdt	hsdt	NOUN
ejpam-3826	23	14	)	)	PUNCT
ejpam-3826	23	15	,	,	PUNCT
ejpam-3826	23	16	neves	neve	NOUN
ejpam-3826	23	17	et	et	PROPN
ejpam-3826	23	18	al	al	PROPN
ejpam-3826	23	19	.	.	PUNCT
ejpam-3826	24	1	[	[	X
ejpam-3826	24	2	12	12	NUM
ejpam-3826	24	3	]	]	PUNCT
ejpam-3826	24	4	investigated	investigate	VERB
ejpam-3826	24	5	the	the	DET
ejpam-3826	24	6	free	free	ADJ
ejpam-3826	24	7	vibration	vibration	NOUN
ejpam-3826	24	8	behaviours	behaviour	NOUN
ejpam-3826	24	9	of	of	ADP
ejpam-3826	24	10	fg	fg	PROPN
ejpam-3826	24	11	shell	shell	PROPN
ejpam-3826	24	12	structures	structure	NOUN
ejpam-3826	24	13	,	,	PUNCT
ejpam-3826	24	14	in	in	ADP
ejpam-3826	24	15	which	which	PRON
ejpam-3826	24	16	the	the	DET
ejpam-3826	24	17	expressions	expression	NOUN
ejpam-3826	24	18	of	of	ADP
ejpam-3826	24	19	motion	motion	NOUN
ejpam-3826	24	20	and	and	CCONJ
ejpam-3826	24	21	the	the	DET
ejpam-3826	24	22	boundary	boundary	ADJ
ejpam-3826	24	23	restraints	restraint	NOUN
ejpam-3826	24	24	were	be	AUX
ejpam-3826	24	25	acquired	acquire	VERB
ejpam-3826	24	26	by	by	ADP
ejpam-3826	24	27	carreras	carreras	PROPN
ejpam-3826	24	28	unified	unified	ADJ
ejpam-3826	24	29	formulation	formulation	NOUN
ejpam-3826	24	30	.	.	PUNCT
ejpam-3826	25	1	kar	kar	NOUN
ejpam-3826	25	2	and	and	CCONJ
ejpam-3826	25	3	panda	panda	NOUN
ejpam-3826	25	4	[	[	X
ejpam-3826	25	5	10	10	NUM
ejpam-3826	25	6	]	]	PUNCT
ejpam-3826	25	7	analyzed	analyze	VERB
ejpam-3826	25	8	the	the	DET
ejpam-3826	25	9	vibration	vibration	NOUN
ejpam-3826	25	10	characteristics	characteristic	NOUN
ejpam-3826	25	11	of	of	ADP
ejpam-3826	25	12	the	the	DET
ejpam-3826	25	13	fg	fg	PROPN
ejpam-3826	25	14	spherical	spherical	ADJ
ejpam-3826	25	15	shell	shell	NOUN
ejpam-3826	25	16	structure	structure	NOUN
ejpam-3826	25	17	based	base	VERB
ejpam-3826	25	18	on	on	ADP
ejpam-3826	25	19	the	the	DET
ejpam-3826	25	20	hsdt	hsdt	NOUN
ejpam-3826	25	21	,	,	PUNCT
ejpam-3826	25	22	and	and	CCONJ
ejpam-3826	25	23	the	the	DET
ejpam-3826	25	24	analytical	analytical	ADJ
ejpam-3826	25	25	model	model	NOUN
ejpam-3826	25	26	is	be	AUX
ejpam-3826	25	27	discretised	discretise	VERB
ejpam-3826	25	28	by	by	ADP
ejpam-3826	25	29	using	use	VERB
ejpam-3826	25	30	quadrilateral	quadrilateral	ADJ
ejpam-3826	25	31	lagrangian	lagrangian	ADJ
ejpam-3826	25	32	element	element	NOUN
ejpam-3826	26	1	[	[	X
ejpam-3826	26	2	1],[11	1],[11	X
ejpam-3826	26	3	]	]	X
ejpam-3826	26	4	meshfree	meshfree	NOUN
ejpam-3826	26	5	techniques	technique	NOUN
ejpam-3826	26	6	are	be	AUX
ejpam-3826	26	7	often	often	ADV
ejpam-3826	26	8	used	use	VERB
ejpam-3826	26	9	to	to	PART
ejpam-3826	26	10	solve	solve	VERB
ejpam-3826	26	11	this	this	DET
ejpam-3826	26	12	problem	problem	NOUN
ejpam-3826	26	13	.	.	PUNCT
ejpam-3826	27	1	one	one	NUM
ejpam-3826	27	2	such	such	ADJ
ejpam-3826	27	3	method	method	NOUN
ejpam-3826	27	4	is	be	AUX
ejpam-3826	27	5	the	the	DET
ejpam-3826	27	6	radial	radial	ADJ
ejpam-3826	27	7	base	base	NOUN
ejpam-3826	27	8	function	function	NOUN
ejpam-3826	27	9	(	(	PUNCT
ejpam-3826	27	10	rbf	rbf	PROPN
ejpam-3826	27	11	)	)	PUNCT
ejpam-3826	27	12	collocation	collocation	NOUN
ejpam-3826	27	13	method	method	NOUN
ejpam-3826	28	1	[	[	X
ejpam-3826	28	2	2],[6],[13	2],[6],[13	NOUN
ejpam-3826	28	3	]	]	PUNCT
ejpam-3826	28	4	.	.	PUNCT
ejpam-3826	29	1	the	the	DET
ejpam-3826	29	2	use	use	NOUN
ejpam-3826	29	3	of	of	ADP
ejpam-3826	29	4	radial	radial	ADJ
ejpam-3826	29	5	basis	basis	NOUN
ejpam-3826	29	6	function	function	NOUN
ejpam-3826	29	7	for	for	ADP
ejpam-3826	29	8	the	the	DET
ejpam-3826	29	9	analysis	analysis	NOUN
ejpam-3826	29	10	of	of	ADP
ejpam-3826	29	11	structures	structure	NOUN
ejpam-3826	29	12	and	and	CCONJ
ejpam-3826	29	13	materials	material	NOUN
ejpam-3826	29	14	has	have	AUX
ejpam-3826	29	15	been	be	AUX
ejpam-3826	29	16	previously	previously	ADV
ejpam-3826	29	17	studied	study	VERB
ejpam-3826	29	18	[	[	X
ejpam-3826	29	19	1],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16],[17],[18	1],[7],[8],[9],[10],[11],[12],[13],[14],[15],[16],[17],[18	NUM
ejpam-3826	29	20	]	]	PUNCT
ejpam-3826	29	21	.	.	PUNCT
ejpam-3826	30	1	brischetto	brischetto	NOUN
ejpam-3826	30	2	and	and	CCONJ
ejpam-3826	30	3	carrera	carrera	PROPN
ejpam-3826	30	4	(	(	PUNCT
ejpam-3826	30	5	2010	2010	NUM
ejpam-3826	30	6	)	)	PUNCT
ejpam-3826	30	7	applied	apply	VERB
ejpam-3826	30	8	the	the	DET
ejpam-3826	30	9	unified	unified	ADJ
ejpam-3826	30	10	formulation	formulation	NOUN
ejpam-3826	30	11	(	(	PUNCT
ejpam-3826	30	12	uf	uf	NOUN
ejpam-3826	30	13	)	)	PUNCT
ejpam-3826	30	14	in	in	ADP
ejpam-3826	30	15	several	several	ADJ
ejpam-3826	30	16	finite	finite	ADJ
ejpam-3826	30	17	element	element	NOUN
ejpam-3826	30	18	analyses	analysis	NOUN
ejpam-3826	30	19	of	of	ADP
ejpam-3826	30	20	shells	shell	NOUN
ejpam-3826	30	21	by	by	ADP
ejpam-3826	30	22	using	use	VERB
ejpam-3826	30	23	the	the	DET
ejpam-3826	30	24	riessners	riessner	NOUN
ejpam-3826	30	25	mixed	mixed	ADJ
ejpam-3826	30	26	vibrational	vibrational	ADJ
ejpam-3826	30	27	theorem	theorem	NOUN
ejpam-3826	30	28	or	or	CCONJ
ejpam-3826	30	29	by	by	ADP
ejpam-3826	30	30	using	use	VERB
ejpam-3826	30	31	the	the	DET
ejpam-3826	30	32	principle	principle	NOUN
ejpam-3826	30	33	of	of	ADP
ejpam-3826	30	34	virtual	virtual	ADJ
ejpam-3826	30	35	displacements	displacement	NOUN
ejpam-3826	30	36	.	.	PUNCT
ejpam-3826	31	1	uf	uf	PROPN
ejpam-3826	31	2	can	can	AUX
ejpam-3826	31	3	help	help	VERB
ejpam-3826	31	4	obtain	obtain	VERB
ejpam-3826	31	5	the	the	DET
ejpam-3826	31	6	external	external	ADJ
ejpam-3826	31	7	force	force	NOUN
ejpam-3826	31	8	terms	term	NOUN
ejpam-3826	31	9	,	,	PUNCT
ejpam-3826	31	10	the	the	DET
ejpam-3826	31	11	stiffness	stiffness	ADJ
ejpam-3826	31	12	matrix	matrix	NOUN
ejpam-3826	31	13	components	component	NOUN
ejpam-3826	31	14	,	,	PUNCT
ejpam-3826	31	15	and	and	CCONJ
ejpam-3826	31	16	the	the	DET
ejpam-3826	31	17	inertia	inertia	NOUN
ejpam-3826	31	18	terms	term	NOUN
ejpam-3826	31	19	.	.	PUNCT
ejpam-3826	32	1	an	an	DET
ejpam-3826	32	2	approach	approach	NOUN
ejpam-3826	32	3	proposed	propose	VERB
ejpam-3826	32	4	by	by	ADP
ejpam-3826	32	5	[	[	X
ejpam-3826	32	6	20],[27],[28	20],[27],[28	NUM
ejpam-3826	32	7	]	]	PUNCT
ejpam-3826	32	8	was	be	AUX
ejpam-3826	32	9	employed	employ	VERB
ejpam-3826	32	10	in	in	ADP
ejpam-3826	32	11	this	this	DET
ejpam-3826	32	12	work	work	NOUN
ejpam-3826	32	13	which	which	PRON
ejpam-3826	32	14	uses	use	VERB
ejpam-3826	32	15	a	a	DET
ejpam-3826	32	16	third	third	ADJ
ejpam-3826	32	17	-	-	PUNCT
ejpam-3826	32	18	order	order	NOUN
ejpam-3826	32	19	shear	shear	NOUN
ejpam-3826	32	20	deformation	deformation	NOUN
ejpam-3826	32	21	theory	theory	NOUN
ejpam-3826	32	22	(	(	PUNCT
ejpam-3826	32	23	tsdt	tsdt	NOUN
ejpam-3826	32	24	)	)	PUNCT
ejpam-3826	32	25	,	,	PUNCT
ejpam-3826	32	26	allowing	allow	VERB
ejpam-3826	32	27	for	for	ADP
ejpam-3826	32	28	through	through	ADP
ejpam-3826	32	29	the	the	DET
ejpam-3826	32	30	thickness	thickness	NOUN
ejpam-3826	32	31	deformations	deformation	NOUN
ejpam-3826	32	32	.	.	PUNCT
ejpam-3826	33	1	we	we	PRON
ejpam-3826	33	2	also	also	ADV
ejpam-3826	33	3	study	study	VERB
ejpam-3826	33	4	the	the	DET
ejpam-3826	33	5	impact	impact	NOUN
ejpam-3826	33	6	of	of	ADP
ejpam-3826	33	7	εzz	εzz	PROPN
ejpam-3826	33	8	6=	6=	PRON
ejpam-3826	33	9	0	0	NUM
ejpam-3826	33	10	in	in	ADP
ejpam-3826	33	11	these	these	DET
ejpam-3826	33	12	problems	problem	NOUN
ejpam-3826	33	13	.	.	PUNCT
ejpam-3826	34	1	the	the	DET
ejpam-3826	34	2	numerical	numerical	ADJ
ejpam-3826	34	3	examples	example	NOUN
ejpam-3826	34	4	given	give	VERB
ejpam-3826	34	5	in	in	ADP
ejpam-3826	34	6	this	this	DET
ejpam-3826	34	7	study	study	NOUN
ejpam-3826	34	8	demonstrate	demonstrate	VERB
ejpam-3826	34	9	how	how	SCONJ
ejpam-3826	34	10	effective	effective	ADJ
ejpam-3826	34	11	the	the	DET
ejpam-3826	34	12	current	current	ADJ
ejpam-3826	34	13	approach	approach	NOUN
ejpam-3826	34	14	is	be	AUX
ejpam-3826	34	15	in	in	ADP
ejpam-3826	34	16	predicting	predict	VERB
ejpam-3826	34	17	the	the	DET
ejpam-3826	34	18	free	free	ADJ
ejpam-3826	34	19	vibrations	vibration	NOUN
ejpam-3826	34	20	of	of	ADP
ejpam-3826	34	21	thick	thick	ADJ
ejpam-3826	34	22	spherical	spherical	ADJ
ejpam-3826	34	23	fg	fg	PROPN
ejpam-3826	34	24	shells	shell	NOUN
ejpam-3826	34	25	.	.	PUNCT
ejpam-3826	35	1	the	the	DET
ejpam-3826	35	2	advantage	advantage	NOUN
ejpam-3826	35	3	of	of	ADP
ejpam-3826	35	4	the	the	DET
ejpam-3826	35	5	current	current	ADJ
ejpam-3826	35	6	technique	technique	NOUN
ejpam-3826	35	7	in	in	ADP
ejpam-3826	35	8	expecting	expect	VERB
ejpam-3826	35	9	free	free	ADJ
ejpam-3826	35	10	vibrations	vibration	NOUN
ejpam-3826	35	11	of	of	ADP
ejpam-3826	35	12	thick	thick	ADJ
ejpam-3826	35	13	fg	fg	PROPN
ejpam-3826	35	14	spherical	spherical	ADJ
ejpam-3826	35	15	shells	shell	NOUN
ejpam-3826	35	16	are	be	AUX
ejpam-3826	35	17	established	establish	VERB
ejpam-3826	35	18	thru	thru	ADP
ejpam-3826	35	19	numerical	numerical	ADJ
ejpam-3826	35	20	examples.the	examples.the	DET
ejpam-3826	35	21	accuracy	accuracy	NOUN
ejpam-3826	35	22	and	and	CCONJ
ejpam-3826	35	23	reliability	reliability	NOUN
ejpam-3826	35	24	of	of	ADP
ejpam-3826	35	25	the	the	DET
ejpam-3826	35	26	present	present	ADJ
ejpam-3826	35	27	method	method	NOUN
ejpam-3826	35	28	are	be	AUX
ejpam-3826	35	29	verified	verify	VERB
ejpam-3826	35	30	by	by	ADP
ejpam-3826	35	31	comparing	compare	VERB
ejpam-3826	35	32	our	our	PRON
ejpam-3826	35	33	results	result	NOUN
ejpam-3826	35	34	to	to	ADP
ejpam-3826	35	35	other	other	ADJ
ejpam-3826	35	36	available	available	ADJ
ejpam-3826	35	37	numerical	numerical	ADJ
ejpam-3826	35	38	results	result	NOUN
ejpam-3826	35	39	in	in	ADP
ejpam-3826	35	40	literature	literature	NOUN
ejpam-3826	35	41	[	[	X
ejpam-3826	35	42	20	20	NUM
ejpam-3826	35	43	]	]	PUNCT
ejpam-3826	35	44	.	.	PUNCT
ejpam-3826	36	1	2	2	X
ejpam-3826	36	2	.	.	X
ejpam-3826	36	3	theoretical	theoretical	ADJ
ejpam-3826	36	4	formulation	formulation	NOUN
ejpam-3826	36	5	2.1	2.1	NUM
ejpam-3826	36	6	.	.	PUNCT
ejpam-3826	37	1	functionally	functionally	ADV
ejpam-3826	37	2	grade	grade	NOUN
ejpam-3826	37	3	material	material	NOUN
ejpam-3826	37	4	properties	property	NOUN
ejpam-3826	37	5	fgm	fgm	PROPN
ejpam-3826	37	6	is	be	AUX
ejpam-3826	37	7	formed	form	VERB
ejpam-3826	37	8	by	by	ADP
ejpam-3826	37	9	a	a	DET
ejpam-3826	37	10	mixture	mixture	NOUN
ejpam-3826	37	11	of	of	ADP
ejpam-3826	37	12	ceramic	ceramic	ADJ
ejpam-3826	37	13	and	and	CCONJ
ejpam-3826	37	14	metal	metal	NOUN
ejpam-3826	37	15	as	as	SCONJ
ejpam-3826	37	16	shown	show	VERB
ejpam-3826	37	17	in	in	ADP
ejpam-3826	37	18	figure	figure	NOUN
ejpam-3826	37	19	1	1	NUM
ejpam-3826	37	20	.	.	PUNCT
ejpam-3826	38	1	the	the	DET
ejpam-3826	38	2	material	material	NOUN
ejpam-3826	38	3	properties	property	NOUN
ejpam-3826	38	4	change	change	VERB
ejpam-3826	38	5	continuously	continuously	ADV
ejpam-3826	38	6	from	from	ADP
ejpam-3826	38	7	one	one	NUM
ejpam-3826	38	8	surface	surface	NOUN
ejpam-3826	38	9	to	to	ADP
ejpam-3826	38	10	the	the	DET
ejpam-3826	38	11	other	other	ADJ
ejpam-3826	38	12	according	accord	VERB
ejpam-3826	38	13	to	to	ADP
ejpam-3826	38	14	a	a	DET
ejpam-3826	38	15	powerlaw	powerlaw	NOUN
ejpam-3826	38	16	of	of	ADP
ejpam-3826	38	17	volume	volume	NOUN
ejpam-3826	38	18	fraction	fraction	NOUN
ejpam-3826	38	19	[	[	X
ejpam-3826	38	20	4],[15],[16	4],[15],[16	NUM
ejpam-3826	38	21	]	]	X
ejpam-3826	38	22	:	:	PUNCT
ejpam-3826	38	23	p	p	X
ejpam-3826	38	24	(	(	PUNCT
ejpam-3826	38	25	z	z	NOUN
ejpam-3826	38	26	)	)	PUNCT
ejpam-3826	38	27	=	=	SYM
ejpam-3826	38	28	(	(	PUNCT
ejpam-3826	38	29	pc	pc	NOUN
ejpam-3826	38	30	−	−	NOUN
ejpam-3826	38	31	pm)vc	pm)vc	PROPN
ejpam-3826	38	32	+	+	NUM
ejpam-3826	38	33	pm	pm	NOUN
ejpam-3826	38	34	vc(z	vc(z	PUNCT
ejpam-3826	38	35	)	)	PUNCT
ejpam-3826	39	1	=	=	PUNCT
ejpam-3826	39	2	(	(	PUNCT
ejpam-3826	39	3	1	1	NUM
ejpam-3826	39	4	2	2	NUM
ejpam-3826	39	5	+	+	CCONJ
ejpam-3826	39	6	z	z	NOUN
ejpam-3826	39	7	h	h	NOUN
ejpam-3826	39	8	)	)	PUNCT
ejpam-3826	39	9	n	n	CCONJ
ejpam-3826	39	10	(	(	PUNCT
ejpam-3826	39	11	1	1	X
ejpam-3826	39	12	)	)	PUNCT
ejpam-3826	39	13	where	where	SCONJ
ejpam-3826	39	14	p	p	NOUN
ejpam-3826	39	15	(	(	PUNCT
ejpam-3826	39	16	z	z	NOUN
ejpam-3826	39	17	)	)	PUNCT
ejpam-3826	39	18	represents	represent	VERB
ejpam-3826	39	19	the	the	DET
ejpam-3826	39	20	effective	effective	ADJ
ejpam-3826	39	21	material	material	NOUN
ejpam-3826	39	22	properties	property	NOUN
ejpam-3826	39	23	:	:	PUNCT
ejpam-3826	39	24	young	young	ADJ
ejpam-3826	39	25	’s	’s	PART
ejpam-3826	39	26	modulus	modulus	ADJ
ejpam-3826	39	27	e	e	NOUN
ejpam-3826	39	28	,	,	PUNCT
ejpam-3826	39	29	density	density	NOUN
ejpam-3826	39	30	ρ	ρ	PROPN
ejpam-3826	39	31	and	and	CCONJ
ejpam-3826	39	32	poisson	poisson	PROPN
ejpam-3826	39	33	ratio	ratio	NOUN
ejpam-3826	39	34	v	v	NOUN
ejpam-3826	39	35	;	;	PUNCT
ejpam-3826	39	36	pc	pc	NOUN
ejpam-3826	39	37	and	and	CCONJ
ejpam-3826	39	38	pm	pm	NOUN
ejpam-3826	39	39	denote	denote	VERB
ejpam-3826	39	40	the	the	DET
ejpam-3826	39	41	properties	property	NOUN
ejpam-3826	39	42	of	of	ADP
ejpam-3826	39	43	the	the	DET
ejpam-3826	39	44	aluminum	aluminum	NOUN
ejpam-3826	39	45	and	and	CCONJ
ejpam-3826	39	46	alumina	alumina	NOUN
ejpam-3826	39	47	,	,	PUNCT
ejpam-3826	39	48	respectively	respectively	ADV
ejpam-3826	39	49	;	;	PUNCT
ejpam-3826	39	50	vc(z	vc(z	X
ejpam-3826	39	51	)	)	PUNCT
ejpam-3826	39	52	is	be	AUX
ejpam-3826	39	53	the	the	DET
ejpam-3826	39	54	volume	volume	NOUN
ejpam-3826	39	55	fractions	fraction	NOUN
ejpam-3826	39	56	of	of	ADP
ejpam-3826	39	57	the	the	DET
ejpam-3826	39	58	aluminum	aluminum	NOUN
ejpam-3826	39	59	;	;	PUNCT
ejpam-3826	39	60	h	h	NOUN
ejpam-3826	39	61	the	the	DET
ejpam-3826	39	62	thickness	thickness	NOUN
ejpam-3826	39	63	of	of	ADP
ejpam-3826	39	64	structure	structure	NOUN
ejpam-3826	39	65	;	;	PUNCT
ejpam-3826	39	66	is	be	AUX
ejpam-3826	39	67	the	the	DET
ejpam-3826	39	68	z	z	PROPN
ejpam-3826	39	69	∈	∈	PROPN
ejpam-3826	40	1	[	[	X
ejpam-3826	40	2	−h	−h	ADJ
ejpam-3826	40	3	2	2	NUM
ejpam-3826	40	4	,	,	PUNCT
ejpam-3826	40	5	h	h	NOUN
ejpam-3826	40	6	2	2	NUM
ejpam-3826	40	7	]	]	PUNCT
ejpam-3826	40	8	the	the	DET
ejpam-3826	40	9	volume	volume	NOUN
ejpam-3826	40	10	fraction	fraction	NOUN
ejpam-3826	40	11	exponent	exponent	NOUN
ejpam-3826	40	12	and	and	CCONJ
ejpam-3826	40	13	n	n	DET
ejpam-3826	40	14	≥	≥	NOUN
ejpam-3826	40	15	0	0	NUM
ejpam-3826	40	16	thickness	thickness	NOUN
ejpam-3826	40	17	coordinate	coordinate	NOUN
ejpam-3826	40	18	of	of	ADP
ejpam-3826	40	19	the	the	DET
ejpam-3826	40	20	structure	structure	NOUN
ejpam-3826	40	21	.	.	PUNCT
ejpam-3826	41	1	m.	m.	NOUN
ejpam-3826	41	2	zannon	zannon	PROPN
ejpam-3826	41	3	,	,	PUNCT
ejpam-3826	41	4	a.	a.	PROPN
ejpam-3826	41	5	abu	abu	PROPN
ejpam-3826	41	6	-	-	PUNCT
ejpam-3826	41	7	rqayiq	rqayiq	PROPN
ejpam-3826	41	8	,	,	PUNCT
ejpam-3826	41	9	a.	a.	PROPN
ejpam-3826	41	10	al	al	PROPN
ejpam-3826	41	11	-	-	PUNCT
ejpam-3826	41	12	bdour	bdour	PROPN
ejpam-3826	41	13	/	/	SYM
ejpam-3826	41	14	eur	eur	PROPN
ejpam-3826	41	15	.	.	PUNCT
ejpam-3826	42	1	j.	j.	PROPN
ejpam-3826	42	2	pure	pure	PROPN
ejpam-3826	42	3	appl	appl	PROPN
ejpam-3826	42	4	.	.	PROPN
ejpam-3826	42	5	math	math	PROPN
ejpam-3826	42	6	,	,	PUNCT
ejpam-3826	42	7	13	13	NUM
ejpam-3826	42	8	(	(	PUNCT
ejpam-3826	42	9	4	4	NUM
ejpam-3826	42	10	)	)	PUNCT
ejpam-3826	42	11	(	(	PUNCT
ejpam-3826	42	12	2020	2020	NUM
ejpam-3826	42	13	)	)	PUNCT
ejpam-3826	42	14	,	,	PUNCT
ejpam-3826	42	15	766	766	NUM
ejpam-3826	42	16	-	-	SYM
ejpam-3826	42	17	778	778	NUM
ejpam-3826	42	18	768	768	NUM
ejpam-3826	42	19	2.2	2.2	NUM
ejpam-3826	42	20	.	.	PUNCT
ejpam-3826	43	1	formulation	formulation	NOUN
ejpam-3826	43	2	the	the	DET
ejpam-3826	43	3	shell	shell	NOUN
ejpam-3826	43	4	structure	structure	NOUN
ejpam-3826	43	5	is	be	AUX
ejpam-3826	43	6	typically	typically	ADV
ejpam-3826	43	7	used	use	VERB
ejpam-3826	43	8	in	in	ADP
ejpam-3826	43	9	a	a	DET
ejpam-3826	43	10	typical	typical	ADJ
ejpam-3826	43	11	vehicle	vehicle	NOUN
ejpam-3826	43	12	’s	’s	PART
ejpam-3826	43	13	outer	outer	ADJ
ejpam-3826	43	14	body	body	NOUN
ejpam-3826	43	15	.	.	PUNCT
ejpam-3826	44	1	some	some	PRON
ejpam-3826	44	2	of	of	ADP
ejpam-3826	44	3	these	these	DET
ejpam-3826	44	4	shell	shell	ADJ
ejpam-3826	44	5	structures	structure	NOUN
ejpam-3826	44	6	are	be	AUX
ejpam-3826	44	7	flat	flat	ADJ
ejpam-3826	44	8	,	,	PUNCT
ejpam-3826	44	9	but	but	CCONJ
ejpam-3826	44	10	most	most	ADJ
ejpam-3826	44	11	of	of	ADP
ejpam-3826	44	12	them	they	PRON
ejpam-3826	44	13	are	be	AUX
ejpam-3826	44	14	curved	curve	VERB
ejpam-3826	44	15	in	in	ADP
ejpam-3826	44	16	nature	nature	NOUN
ejpam-3826	44	17	,	,	PUNCT
ejpam-3826	44	18	so	so	ADV
ejpam-3826	44	19	they	they	PRON
ejpam-3826	44	20	are	be	AUX
ejpam-3826	44	21	called	call	VERB
ejpam-3826	44	22	shells	shell	NOUN
ejpam-3826	44	23	[	[	X
ejpam-3826	44	24	28],[29	28],[29	X
ejpam-3826	44	25	]	]	X
ejpam-3826	44	26	.	.	PUNCT
ejpam-3826	45	1	plates	plate	NOUN
ejpam-3826	45	2	are	be	AUX
ejpam-3826	45	3	a	a	DET
ejpam-3826	45	4	special	special	ADJ
ejpam-3826	45	5	type	type	NOUN
ejpam-3826	45	6	of	of	ADP
ejpam-3826	45	7	shells	shell	NOUN
ejpam-3826	45	8	,	,	PUNCT
ejpam-3826	45	9	so	so	CCONJ
ejpam-3826	45	10	the	the	DET
ejpam-3826	45	11	focus	focus	NOUN
ejpam-3826	45	12	in	in	ADP
ejpam-3826	45	13	modelling	modelling	NOUN
ejpam-3826	45	14	and	and	CCONJ
ejpam-3826	45	15	analyses	analysis	NOUN
ejpam-3826	45	16	has	have	AUX
ejpam-3826	45	17	been	be	AUX
ejpam-3826	45	18	on	on	ADP
ejpam-3826	45	19	shells	shell	NOUN
ejpam-3826	45	20	.	.	PUNCT
ejpam-3826	46	1	shells	shell	NOUN
ejpam-3826	46	2	bodies	body	NOUN
ejpam-3826	46	3	are	be	AUX
ejpam-3826	46	4	in	in	ADP
ejpam-3826	46	5	three	three	NUM
ejpam-3826	46	6	dimensions	dimension	NOUN
ejpam-3826	46	7	,	,	PUNCT
ejpam-3826	46	8	one	one	NUM
ejpam-3826	46	9	of	of	ADP
ejpam-3826	46	10	which	which	PRON
ejpam-3826	46	11	is	be	AUX
ejpam-3826	46	12	thickness	thickness	NOUN
ejpam-3826	46	13	,	,	PUNCT
ejpam-3826	46	14	which	which	PRON
ejpam-3826	46	15	is	be	AUX
ejpam-3826	46	16	small	small	ADJ
ejpam-3826	46	17	compared	compare	VERB
ejpam-3826	46	18	to	to	ADP
ejpam-3826	46	19	the	the	DET
ejpam-3826	46	20	other	other	ADJ
ejpam-3826	46	21	two	two	NUM
ejpam-3826	46	22	dimensions	dimension	NOUN
ejpam-3826	46	23	.	.	PUNCT
ejpam-3826	47	1	shell	shell	ADJ
ejpam-3826	47	2	structure	structure	NOUN
ejpam-3826	47	3	theories	theory	NOUN
ejpam-3826	47	4	are	be	AUX
ejpam-3826	47	5	based	base	VERB
ejpam-3826	47	6	upon	upon	SCONJ
ejpam-3826	47	7	the	the	DET
ejpam-3826	47	8	three	three	NUM
ejpam-3826	47	9	-	-	PUNCT
ejpam-3826	47	10	dimensional	dimensional	ADJ
ejpam-3826	47	11	(	(	PUNCT
ejpam-3826	47	12	3d	3d	NOUN
ejpam-3826	47	13	)	)	PUNCT
ejpam-3826	47	14	theory	theory	NOUN
ejpam-3826	47	15	of	of	ADP
ejpam-3826	47	16	elasticity	elasticity	NOUN
ejpam-3826	47	17	,	,	PUNCT
ejpam-3826	47	18	which	which	PRON
ejpam-3826	47	19	is	be	AUX
ejpam-3826	47	20	costly	costly	ADJ
ejpam-3826	47	21	and	and	CCONJ
ejpam-3826	47	22	time	time	NOUN
ejpam-3826	47	23	-	-	PUNCT
ejpam-3826	47	24	consuming	consume	VERB
ejpam-3826	47	25	.	.	PUNCT
ejpam-3826	48	1	a	a	DET
ejpam-3826	48	2	schematic	schematic	ADJ
ejpam-3826	48	3	diagram	diagram	NOUN
ejpam-3826	48	4	of	of	ADP
ejpam-3826	48	5	this	this	DET
ejpam-3826	48	6	geometry	geometry	NOUN
ejpam-3826	48	7	is	be	AUX
ejpam-3826	48	8	shown	show	VERB
ejpam-3826	48	9	in	in	ADP
ejpam-3826	48	10	figure	figure	NOUN
ejpam-3826	48	11	2	2	NUM
ejpam-3826	48	12	.	.	PUNCT
ejpam-3826	49	1	on	on	ADP
ejpam-3826	49	2	the	the	DET
ejpam-3826	49	3	basis	basis	NOUN
ejpam-3826	49	4	of	of	ADP
ejpam-3826	49	5	the	the	DET
ejpam-3826	49	6	third	third	ADJ
ejpam-3826	49	7	-	-	PUNCT
ejpam-3826	49	8	order	order	NOUN
ejpam-3826	49	9	shear	shear	NOUN
ejpam-3826	49	10	deformation	deformation	NOUN
ejpam-3826	49	11	shell	shell	NOUN
ejpam-3826	49	12	theory	theory	NOUN
ejpam-3826	49	13	and	and	CCONJ
ejpam-3826	49	14	applying	apply	VERB
ejpam-3826	49	15	the	the	DET
ejpam-3826	49	16	displacement	displacement	ADJ
ejpam-3826	49	17	field	field	NOUN
ejpam-3826	49	18	[	[	X
ejpam-3826	49	19	29	29	NUM
ejpam-3826	49	20	]	]	PUNCT
ejpam-3826	49	21	we	we	PRON
ejpam-3826	49	22	have	have	VERB
ejpam-3826	49	23	u(α	u(α	NOUN
ejpam-3826	49	24	,	,	PUNCT
ejpam-3826	49	25	β	β	X
ejpam-3826	49	26	,	,	PUNCT
ejpam-3826	49	27	z	z	NOUN
ejpam-3826	49	28	)	)	PUNCT
ejpam-3826	49	29	=	=	SYM
ejpam-3826	49	30	u0(α	u0(α	PROPN
ejpam-3826	49	31	,	,	PUNCT
ejpam-3826	49	32	β	β	NOUN
ejpam-3826	49	33	)	)	PUNCT
ejpam-3826	50	1	+	+	CCONJ
ejpam-3826	50	2	zψα(α	zψα(α	PROPN
ejpam-3826	50	3	,	,	PUNCT
ejpam-3826	50	4	β	β	NOUN
ejpam-3826	50	5	)	)	PUNCT
ejpam-3826	51	1	+	+	CCONJ
ejpam-3826	51	2	z3ϕα(α	z3ϕα(α	PROPN
ejpam-3826	51	3	,	,	PUNCT
ejpam-3826	51	4	β	β	X
ejpam-3826	51	5	)	)	PUNCT
ejpam-3826	51	6	v(α	v(α	PROPN
ejpam-3826	51	7	,	,	PUNCT
ejpam-3826	51	8	β	β	X
ejpam-3826	51	9	,	,	PUNCT
ejpam-3826	51	10	z	z	NOUN
ejpam-3826	51	11	)	)	PUNCT
ejpam-3826	51	12	=	=	SYM
ejpam-3826	51	13	v0(α	v0(α	PROPN
ejpam-3826	51	14	,	,	PUNCT
ejpam-3826	51	15	β	β	NOUN
ejpam-3826	51	16	)	)	PUNCT
ejpam-3826	51	17	+	+	CCONJ
ejpam-3826	51	18	zψβ(α	zψβ(α	NOUN
ejpam-3826	51	19	,	,	PUNCT
ejpam-3826	51	20	β	β	X
ejpam-3826	51	21	)	)	PUNCT
ejpam-3826	51	22	+	+	CCONJ
ejpam-3826	51	23	z3ϕβ(α	z3ϕβ(α	PROPN
ejpam-3826	51	24	,	,	PUNCT
ejpam-3826	51	25	β	β	NOUN
ejpam-3826	51	26	)	)	PUNCT
ejpam-3826	51	27	w(α	w(α	NOUN
ejpam-3826	51	28	,	,	PUNCT
ejpam-3826	51	29	β	β	X
ejpam-3826	51	30	,	,	PUNCT
ejpam-3826	51	31	z	z	NOUN
ejpam-3826	51	32	)	)	PUNCT
ejpam-3826	51	33	=	=	SYM
ejpam-3826	51	34	w0(α	w0(α	PROPN
ejpam-3826	51	35	,	,	PUNCT
ejpam-3826	51	36	β	β	NOUN
ejpam-3826	51	37	)	)	PUNCT
ejpam-3826	51	38	+	+	CCONJ
ejpam-3826	51	39	zψz(α	zψz(α	PROPN
ejpam-3826	51	40	,	,	PUNCT
ejpam-3826	51	41	β	β	NOUN
ejpam-3826	51	42	)	)	PUNCT
ejpam-3826	51	43	(	(	PUNCT
ejpam-3826	51	44	2	2	X
ejpam-3826	51	45	)	)	PUNCT
ejpam-3826	51	46	where	where	SCONJ
ejpam-3826	51	47	−h	−h	ADJ
ejpam-3826	51	48	2	2	NUM
ejpam-3826	51	49	≤	≤	NUM
ejpam-3826	51	50	z	z	NOUN
ejpam-3826	51	51	≤	≤	NUM
ejpam-3826	51	52	h	h	NOUN
ejpam-3826	51	53	2	2	NUM
ejpam-3826	51	54	,	,	PUNCT
ejpam-3826	51	55	h	h	NOUN
ejpam-3826	51	56	is	be	AUX
ejpam-3826	51	57	the	the	DET
ejpam-3826	51	58	shell	shell	ADJ
ejpam-3826	51	59	thickness	thickness	NOUN
ejpam-3826	51	60	,	,	PUNCT
ejpam-3826	51	61	u0	u0	ADJ
ejpam-3826	51	62	,	,	PUNCT
ejpam-3826	51	63	v0	v0	NOUN
ejpam-3826	51	64	and	and	CCONJ
ejpam-3826	51	65	w0	w0	PROPN
ejpam-3826	51	66	are	be	AUX
ejpam-3826	51	67	middle	middle	ADJ
ejpam-3826	51	68	surface	surface	NOUN
ejpam-3826	51	69	displacements	displacement	NOUN
ejpam-3826	51	70	of	of	ADP
ejpam-3826	51	71	the	the	DET
ejpam-3826	51	72	shell	shell	NOUN
ejpam-3826	51	73	,	,	PUNCT
ejpam-3826	51	74	ψα	ψα	ADP
ejpam-3826	51	75	,	,	PUNCT
ejpam-3826	51	76	ψβ	ψβ	PROPN
ejpam-3826	51	77	,	,	PUNCT
ejpam-3826	51	78	ψz	ψz	PROPN
ejpam-3826	51	79	are	be	AUX
ejpam-3826	51	80	middle	middle	ADJ
ejpam-3826	51	81	surface	surface	NOUN
ejpam-3826	51	82	rotations	rotation	NOUN
ejpam-3826	51	83	and	and	CCONJ
ejpam-3826	51	84	ϕα	ϕα	ADV
ejpam-3826	51	85	,	,	PUNCT
ejpam-3826	51	86	ϕβ	ϕβ	PROPN
ejpam-3826	51	87	are	be	AUX
ejpam-3826	51	88	higher	high	ADJ
ejpam-3826	51	89	order	order	NOUN
ejpam-3826	51	90	terms	term	NOUN
ejpam-3826	51	91	rotation	rotation	NOUN
ejpam-3826	51	92	of	of	ADP
ejpam-3826	51	93	transverse	transverse	NOUN
ejpam-3826	51	94	normal	normal	ADJ
ejpam-3826	51	95	.	.	PUNCT
ejpam-3826	52	1	here	here	ADV
ejpam-3826	52	2	,	,	PUNCT
ejpam-3826	52	3	we	we	PRON
ejpam-3826	52	4	use	use	VERB
ejpam-3826	52	5	the	the	DET
ejpam-3826	52	6	method	method	NOUN
ejpam-3826	52	7	as	as	ADP
ejpam-3826	52	8	the	the	DET
ejpam-3826	52	9	basis	basis	NOUN
ejpam-3826	52	10	for	for	ADP
ejpam-3826	52	11	a	a	DET
ejpam-3826	52	12	free	free	ADJ
ejpam-3826	52	13	vibration	vibration	NOUN
ejpam-3826	52	14	study	study	NOUN
ejpam-3826	52	15	of	of	ADP
ejpam-3826	52	16	fg	fg	PROPN
ejpam-3826	52	17	spherical	spherical	ADJ
ejpam-3826	52	18	shells	shell	NOUN
ejpam-3826	52	19	[	[	X
ejpam-3826	52	20	1],[11],[12],[22	1],[11],[12],[22	X
ejpam-3826	52	21	]	]	PUNCT
ejpam-3826	52	22	.	.	PUNCT
ejpam-3826	53	1	the	the	DET
ejpam-3826	53	2	fundamental	fundamental	ADJ
ejpam-3826	53	3	nucleo	nucleo	ADJ
ejpam-3826	53	4	kκτsuu	kκτsuu	PROPN
ejpam-3826	53	5	is	be	AUX
ejpam-3826	53	6	reported	report	VERB
ejpam-3826	53	7	for	for	ADP
ejpam-3826	53	8	functionally	functionally	ADV
ejpam-3826	53	9	graded	grade	VERB
ejpam-3826	53	10	doubly	doubly	ADV
ejpam-3826	53	11	curved	curved	ADJ
ejpam-3826	53	12	spherical	spherical	ADJ
ejpam-3826	53	13	shells	shell	NOUN
ejpam-3826	53	14	(	(	PUNCT
ejpam-3826	53	15	radii	radius	NOUN
ejpam-3826	53	16	of	of	ADP
ejpam-3826	53	17	curvature	curvature	NOUN
ejpam-3826	53	18	in	in	ADP
ejpam-3826	53	19	both	both	CCONJ
ejpam-3826	53	20	α	α	NOUN
ejpam-3826	53	21	and	and	CCONJ
ejpam-3826	53	22	β	β	NOUN
ejpam-3826	53	23	directions	direction	NOUN
ejpam-3826	53	24	(	(	PUNCT
ejpam-3826	53	25	see	see	VERB
ejpam-3826	53	26	fig	fig	NOUN
ejpam-3826	53	27	.	.	PUNCT
ejpam-3826	54	1	2	2	NUM
ejpam-3826	54	2	)	)	PUNCT
ejpam-3826	54	3	[	[	X
ejpam-3826	54	4	1],[5],[6],[7	1],[5],[6],[7	X
ejpam-3826	54	5	]	]	X
ejpam-3826	54	6	:(	:(	PUNCT
ejpam-3826	54	7	kτsk	kτsk	PROPN
ejpam-3826	54	8	uu	uu	INTJ
ejpam-3826	54	9	)	)	PUNCT
ejpam-3826	54	10	11	11	NUM
ejpam-3826	54	11	=	=	SYM
ejpam-3826	54	12	−	−	PROPN
ejpam-3826	54	13	eκ(1−(vκ)2	eκ(1−(vκ)2	NOUN
ejpam-3826	54	14	)	)	PUNCT
ejpam-3826	54	15	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	55	1	jkτsβ	jkτsβ	PROPN
ejpam-3826	55	2	/	/	SYM
ejpam-3826	55	3	α∂	α∂	PROPN
ejpam-3826	55	4	s	s	PART
ejpam-3826	55	5	α∂	α∂	PROPN
ejpam-3826	55	6	τ	τ	PROPN
ejpam-3826	55	7	α	α	PROPN
ejpam-3826	55	8	−	−	X
ejpam-3826	56	1	eκ	eκ	X
ejpam-3826	56	2	2(1+vκ)j	2(1+vκ)j	NUM
ejpam-3826	56	3	kτs	kτs	NOUN
ejpam-3826	56	4	α	α	NOUN
ejpam-3826	56	5	/	/	SYM
ejpam-3826	56	6	β∂	β∂	PROPN
ejpam-3826	56	7	s	s	PART
ejpam-3826	56	8	β∂	β∂	X
ejpam-3826	56	9	τ	τ	X
ejpam-3826	56	10	β	β	X
ejpam-3826	56	11	+	+	X
ejpam-3826	56	12	eκ	eκ	PROPN
ejpam-3826	56	13	2(1+vκ	2(1+vκ	PROPN
ejpam-3826	56	14	)	)	PUNCT
ejpam-3826	56	15	(	(	PUNCT
ejpam-3826	56	16	jkτzszαβ	jkτzszαβ	ADV
ejpam-3826	56	17	−	−	PROPN
ejpam-3826	56	18	1	1	NUM
ejpam-3826	56	19	rj	rj	PROPN
ejpam-3826	56	20	kτzs	kτzs	PROPN
ejpam-3826	56	21	β	β	PROPN
ejpam-3826	56	22	−	−	PROPN
ejpam-3826	56	23	1	1	NUM
ejpam-3826	56	24	rj	rj	PROPN
ejpam-3826	56	25	kτsz	kτsz	NOUN
ejpam-3826	56	26	β	β	PROPN
ejpam-3826	56	27	+	+	ADP
ejpam-3826	56	28	1	1	NUM
ejpam-3826	56	29	r2j	r2j	X
ejpam-3826	56	30	kτs	kτs	NOUN
ejpam-3826	56	31	β	β	PROPN
ejpam-3826	56	32	/	/	SYM
ejpam-3826	56	33	α	α	NOUN
ejpam-3826	56	34	)	)	PUNCT
ejpam-3826	56	35	(	(	PUNCT
ejpam-3826	56	36	3	3	X
ejpam-3826	56	37	)	)	PUNCT
ejpam-3826	56	38	(	(	PUNCT
ejpam-3826	56	39	kτsk	kτsk	NOUN
ejpam-3826	56	40	uu	uu	INTJ
ejpam-3826	56	41	)	)	PUNCT
ejpam-3826	56	42	12	12	NUM
ejpam-3826	56	43	=	=	SYM
ejpam-3826	56	44	−	−	NOUN
ejpam-3826	56	45	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	56	46	)	)	PUNCT
ejpam-3826	56	47	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	57	1	jkτs∂τα∂	jkτs∂τα∂	PROPN
ejpam-3826	57	2	s	s	PART
ejpam-3826	57	3	β	β	NOUN
ejpam-3826	57	4	−	−	NOUN
ejpam-3826	57	5	eκ	eκ	X
ejpam-3826	57	6	2(1+vκ)j	2(1+vκ)j	NUM
ejpam-3826	58	1	kτs∂sα∂	kτs∂sα∂	PROPN
ejpam-3826	58	2	τ	τ	X
ejpam-3826	58	3	β	β	X
ejpam-3826	58	4	(	(	PUNCT
ejpam-3826	58	5	4	4	NUM
ejpam-3826	58	6	)	)	PUNCT
ejpam-3826	58	7	(	(	PUNCT
ejpam-3826	58	8	kτsk	kτsk	NOUN
ejpam-3826	58	9	uu	uu	INTJ
ejpam-3826	58	10	)	)	PUNCT
ejpam-3826	58	11	13	13	NUM
ejpam-3826	58	12	=	=	SYM
ejpam-3826	58	13	−	−	PROPN
ejpam-3826	58	14	eκ(1−(vκ)2	eκ(1−(vκ)2	PROPN
ejpam-3826	58	15	)	)	PUNCT
ejpam-3826	58	16	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	58	17	1	1	NUM
ejpam-3826	58	18	rj	rj	PROPN
ejpam-3826	58	19	kτs	kτs	PROPN
ejpam-3826	58	20	β	β	PROPN
ejpam-3826	58	21	/	/	SYM
ejpam-3826	58	22	α∂	α∂	PROPN
ejpam-3826	58	23	τ	τ	PROPN
ejpam-3826	58	24	α	α	NUM
ejpam-3826	58	25	−	−	PROPN
ejpam-3826	58	26	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	58	27	)	)	PUNCT
ejpam-3826	58	28	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	58	29	1	1	NUM
ejpam-3826	58	30	rj	rj	PROPN
ejpam-3826	58	31	kτs	kτs	PROPN
ejpam-3826	58	32	αα	αα	PROPN
ejpam-3826	58	33	∂	∂	NUM
ejpam-3826	58	34	τ	τ	PROPN
ejpam-3826	58	35	α	α	NOUN
ejpam-3826	58	36	−	−	PROPN
ejpam-3826	58	37	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	58	38	)	)	PUNCT
ejpam-3826	58	39	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	58	40	jkτsβ	jkτsβ	PROPN
ejpam-3826	58	41	∂τα	∂τα	PROPN
ejpam-3826	58	42	+	+	PROPN
ejpam-3826	58	43	eκ	eκ	PROPN
ejpam-3826	58	44	2(1+vκ	2(1+vκ	PROPN
ejpam-3826	58	45	)	)	PUNCT
ejpam-3826	58	46	(	(	PUNCT
ejpam-3826	58	47	jkτzsβ	jkτzsβ	PROPN
ejpam-3826	58	48	∂sα	∂sα	VERB
ejpam-3826	58	49	−	−	PROPN
ejpam-3826	58	50	1	1	NUM
ejpam-3826	58	51	rj	rj	PROPN
ejpam-3826	58	52	kτs	kτs	PROPN
ejpam-3826	58	53	β	β	PROPN
ejpam-3826	58	54	/	/	SYM
ejpam-3826	58	55	α∂	α∂	PROPN
ejpam-3826	58	56	s	s	PROPN
ejpam-3826	58	57	α	α	NOUN
ejpam-3826	58	58	)	)	PUNCT
ejpam-3826	58	59	(	(	PUNCT
ejpam-3826	58	60	5	5	X
ejpam-3826	58	61	)	)	PUNCT
ejpam-3826	58	62	(	(	PUNCT
ejpam-3826	58	63	kτsk	kτsk	PROPN
ejpam-3826	58	64	uu	uu	INTJ
ejpam-3826	58	65	)	)	PUNCT
ejpam-3826	58	66	21	21	NUM
ejpam-3826	58	67	=	=	SYM
ejpam-3826	58	68	−	−	NOUN
ejpam-3826	58	69	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	58	70	)	)	PUNCT
ejpam-3826	58	71	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	59	1	jkτs∂sα∂	jkτs∂sα∂	PROPN
ejpam-3826	59	2	τ	τ	X
ejpam-3826	59	3	β	β	X
ejpam-3826	59	4	−	−	NOUN
ejpam-3826	59	5	eκ	eκ	PRON
ejpam-3826	59	6	2(1+vκ)j	2(1+vκ)j	NUM
ejpam-3826	59	7	kτs∂τα∂	kτs∂τα∂	PROPN
ejpam-3826	59	8	s	s	PART
ejpam-3826	59	9	β	β	X
ejpam-3826	59	10	(	(	PUNCT
ejpam-3826	59	11	6	6	NUM
ejpam-3826	59	12	)	)	PUNCT
ejpam-3826	59	13	(	(	PUNCT
ejpam-3826	59	14	kτsk	kτsk	NOUN
ejpam-3826	59	15	uu	uu	INTJ
ejpam-3826	59	16	)	)	PUNCT
ejpam-3826	59	17	22	22	NUM
ejpam-3826	59	18	=	=	SYM
ejpam-3826	59	19	−	−	PROPN
ejpam-3826	59	20	eκ	eκ	X
ejpam-3826	59	21	2(1+vκ)j	2(1+vκ)j	NUM
ejpam-3826	59	22	kτs	kτs	NOUN
ejpam-3826	59	23	β	β	NOUN
ejpam-3826	59	24	/	/	SYM
ejpam-3826	59	25	α∂	α∂	PROPN
ejpam-3826	59	26	s	s	PART
ejpam-3826	59	27	α∂	α∂	PROPN
ejpam-3826	59	28	τ	τ	PROPN
ejpam-3826	59	29	α	α	PROPN
ejpam-3826	59	30	+	+	X
ejpam-3826	59	31	eκ	eκ	PROPN
ejpam-3826	59	32	2(1+vκ	2(1+vκ	PROPN
ejpam-3826	59	33	)	)	PUNCT
ejpam-3826	59	34	(	(	PUNCT
ejpam-3826	59	35	ukτzszαβ	ukτzszαβ	ADV
ejpam-3826	59	36	−	−	PROPN
ejpam-3826	59	37	1	1	NUM
ejpam-3826	59	38	rj	rj	PROPN
ejpam-3826	59	39	kτzs	kτzs	NOUN
ejpam-3826	59	40	α	α	PROPN
ejpam-3826	59	41	−	−	PROPN
ejpam-3826	59	42	1	1	NUM
ejpam-3826	59	43	rj	rj	PROPN
ejpam-3826	59	44	kτsz	kτsz	NOUN
ejpam-3826	59	45	α	α	PROPN
ejpam-3826	59	46	+	+	NOUN
ejpam-3826	59	47	1	1	NUM
ejpam-3826	59	48	r2j	r2j	PROPN
ejpam-3826	59	49	kτs	kτs	PROPN
ejpam-3826	59	50	α	α	PROPN
ejpam-3826	59	51	/	/	SYM
ejpam-3826	59	52	β	β	NOUN
ejpam-3826	59	53	)	)	PUNCT
ejpam-3826	59	54	(	(	PUNCT
ejpam-3826	59	55	7	7	X
ejpam-3826	59	56	)	)	PUNCT
ejpam-3826	59	57	m.	m.	NOUN
ejpam-3826	59	58	zannon	zannon	NOUN
ejpam-3826	59	59	,	,	PUNCT
ejpam-3826	59	60	a.	a.	PROPN
ejpam-3826	59	61	abu	abu	PROPN
ejpam-3826	59	62	-	-	PUNCT
ejpam-3826	59	63	rqayiq	rqayiq	PROPN
ejpam-3826	59	64	,	,	PUNCT
ejpam-3826	59	65	a.	a.	PROPN
ejpam-3826	59	66	al	al	PROPN
ejpam-3826	59	67	-	-	PUNCT
ejpam-3826	59	68	bdour	bdour	PROPN
ejpam-3826	59	69	/	/	SYM
ejpam-3826	59	70	eur	eur	PROPN
ejpam-3826	59	71	.	.	PUNCT
ejpam-3826	60	1	j.	j.	PROPN
ejpam-3826	60	2	pure	pure	PROPN
ejpam-3826	60	3	appl	appl	PROPN
ejpam-3826	60	4	.	.	PROPN
ejpam-3826	60	5	math	math	PROPN
ejpam-3826	60	6	,	,	PUNCT
ejpam-3826	60	7	13	13	NUM
ejpam-3826	60	8	(	(	PUNCT
ejpam-3826	60	9	4	4	NUM
ejpam-3826	60	10	)	)	PUNCT
ejpam-3826	60	11	(	(	PUNCT
ejpam-3826	60	12	2020	2020	NUM
ejpam-3826	60	13	)	)	PUNCT
ejpam-3826	60	14	,	,	PUNCT
ejpam-3826	60	15	766	766	NUM
ejpam-3826	60	16	-	-	SYM
ejpam-3826	60	17	778	778	NUM
ejpam-3826	60	18	769	769	NUM
ejpam-3826	60	19	(	(	PUNCT
ejpam-3826	60	20	kτsk	kτsk	PROPN
ejpam-3826	60	21	uu	uu	INTJ
ejpam-3826	60	22	)	)	PUNCT
ejpam-3826	60	23	23	23	NUM
ejpam-3826	61	1	=	=	SYM
ejpam-3826	61	2	−	−	NOUN
ejpam-3826	61	3	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	61	4	)	)	PUNCT
ejpam-3826	61	5	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	61	6	1	1	NUM
ejpam-3826	61	7	rj	rj	PROPN
ejpam-3826	61	8	kτs	kτs	PROPN
ejpam-3826	61	9	ββ	ββ	PROPN
ejpam-3826	61	10	∂	∂	PUNCT
ejpam-3826	61	11	τ	τ	X
ejpam-3826	61	12	β	β	NOUN
ejpam-3826	61	13	−	−	NOUN
ejpam-3826	61	14	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	61	15	)	)	PUNCT
ejpam-3826	61	16	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	62	1	jkτsα	jkτsα	NOUN
ejpam-3826	62	2	∂τβ	∂τβ	PROPN
ejpam-3826	62	3	+	+	PROPN
ejpam-3826	62	4	eκ	eκ	PROPN
ejpam-3826	62	5	2(1+vκ	2(1+vκ	PROPN
ejpam-3826	62	6	)	)	PUNCT
ejpam-3826	62	7	(	(	PUNCT
ejpam-3826	62	8	jkτzsα	jkτzsα	PROPN
ejpam-3826	62	9	∂sβ	∂sβ	PROPN
ejpam-3826	62	10	−	−	PROPN
ejpam-3826	62	11	1	1	NUM
ejpam-3826	62	12	rj	rj	PROPN
ejpam-3826	62	13	kτs	kτs	PROPN
ejpam-3826	62	14	α	α	PROPN
ejpam-3826	62	15	/	/	SYM
ejpam-3826	62	16	β∂	β∂	PROPN
ejpam-3826	62	17	s	s	PART
ejpam-3826	62	18	β	β	X
ejpam-3826	62	19	)	)	PUNCT
ejpam-3826	62	20	(	(	PUNCT
ejpam-3826	62	21	8)	8)	NUM
ejpam-3826	62	22	(	(	PUNCT
ejpam-3826	62	23	kτsk	kτsk	NOUN
ejpam-3826	62	24	uu	uu	X
ejpam-3826	62	25	)	)	PUNCT
ejpam-3826	62	26	31	31	NUM
ejpam-3826	62	27	=	=	SYM
ejpam-3826	62	28	eκ(1−(vκ)2	eκ(1−(vκ)2	NOUN
ejpam-3826	62	29	)	)	PUNCT
ejpam-3826	62	30	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	62	31	1	1	NUM
ejpam-3826	62	32	rj	rj	PROPN
ejpam-3826	62	33	kτ	kτ	PROPN
ejpam-3826	62	34	β	β	PROPN
ejpam-3826	62	35	/	/	SYM
ejpam-3826	62	36	α∂	α∂	PROPN
ejpam-3826	62	37	s	s	PROPN
ejpam-3826	62	38	α	α	NOUN
ejpam-3826	62	39	+	+	NOUN
ejpam-3826	62	40	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	62	41	)	)	PUNCT
ejpam-3826	62	42	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	62	43	1	1	NUM
ejpam-3826	62	44	rj	rj	PROPN
ejpam-3826	62	45	kτ	kτ	PROPN
ejpam-3826	62	46	α	α	PROPN
ejpam-3826	62	47	∂sα	∂sα	PROPN
ejpam-3826	62	48	+	+	CCONJ
ejpam-3826	62	49	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	62	50	)	)	PUNCT
ejpam-3826	62	51	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	62	52	jkτzsβ	jkτzsβ	PROPN
ejpam-3826	62	53	δsα	δsα	NOUN
ejpam-3826	62	54	−	−	PROPN
ejpam-3826	62	55	eκ	eκ	PROPN
ejpam-3826	62	56	2(1+vκ	2(1+vκ	PROPN
ejpam-3826	62	57	)	)	PUNCT
ejpam-3826	62	58	(	(	PUNCT
ejpam-3826	62	59	jkτszβ	jkτszβ	NOUN
ejpam-3826	62	60	∂τα	∂τα	ADJ
ejpam-3826	62	61	−	−	PROPN
ejpam-3826	62	62	1	1	NUM
ejpam-3826	62	63	rj	rj	PROPN
ejpam-3826	62	64	kτs	kτs	PROPN
ejpam-3826	62	65	β	β	PROPN
ejpam-3826	62	66	/	/	SYM
ejpam-3826	62	67	α∂	α∂	PROPN
ejpam-3826	62	68	τ	τ	PROPN
ejpam-3826	62	69	α	α	PROPN
ejpam-3826	62	70	)	)	PUNCT
ejpam-3826	62	71	(	(	PUNCT
ejpam-3826	62	72	9	9	NUM
ejpam-3826	62	73	)	)	PUNCT
ejpam-3826	62	74	(	(	PUNCT
ejpam-3826	62	75	kτsk	kτsk	PROPN
ejpam-3826	62	76	uu	uu	ADJ
ejpam-3826	62	77	)	)	PUNCT
ejpam-3826	62	78	32	32	NUM
ejpam-3826	62	79	=	=	SYM
ejpam-3826	62	80	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	62	81	)	)	PUNCT
ejpam-3826	62	82	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	62	83	1	1	NUM
ejpam-3826	62	84	rj	rj	PROPN
ejpam-3826	62	85	kτs	kτs	PROPN
ejpam-3826	62	86	βk	βk	ADP
ejpam-3826	62	87	∂	∂	PROPN
ejpam-3826	62	88	s	s	PART
ejpam-3826	62	89	β	β	NOUN
ejpam-3826	62	90	+	+	NOUN
ejpam-3826	62	91	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	62	92	)	)	PUNCT
ejpam-3826	62	93	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	62	94	jkτzsα	jkτzsα	PROPN
ejpam-3826	62	95	∂sβ	∂sβ	PROPN
ejpam-3826	62	96	−	−	PROPN
ejpam-3826	62	97	eκ	eκ	PROPN
ejpam-3826	62	98	2(1+vκ	2(1+vκ	PROPN
ejpam-3826	62	99	)	)	PUNCT
ejpam-3826	62	100	(	(	PUNCT
ejpam-3826	62	101	jkτszα	jkτszα	PROPN
ejpam-3826	63	1	∂τβ	∂τβ	PROPN
ejpam-3826	63	2	−	−	NUM
ejpam-3826	63	3	1	1	NUM
ejpam-3826	63	4	rj	rj	PROPN
ejpam-3826	63	5	kτs	kτs	PROPN
ejpam-3826	63	6	α	α	PROPN
ejpam-3826	63	7	/	/	SYM
ejpam-3826	63	8	β∂	β∂	PROPN
ejpam-3826	63	9	τ	τ	X
ejpam-3826	63	10	β	β	X
ejpam-3826	63	11	)	)	PUNCT
ejpam-3826	63	12	(	(	PUNCT
ejpam-3826	63	13	10	10	NUM
ejpam-3826	63	14	)	)	PUNCT
ejpam-3826	63	15	(	(	PUNCT
ejpam-3826	63	16	kτsk	kτsk	NOUN
ejpam-3826	63	17	uu	uu	INTJ
ejpam-3826	63	18	)	)	PUNCT
ejpam-3826	63	19	33	33	NUM
ejpam-3826	63	20	=	=	SYM
ejpam-3826	63	21	eκ(1−(vκ)2	eκ(1−(vκ)2	NOUN
ejpam-3826	63	22	)	)	PUNCT
ejpam-3826	63	23	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	63	24	1	1	NUM
ejpam-3826	63	25	r2j	r2j	X
ejpam-3826	63	26	kτs	kτs	NOUN
ejpam-3826	63	27	β	β	PROPN
ejpam-3826	63	28	/	/	SYM
ejpam-3826	63	29	α	α	PROPN
ejpam-3826	63	30	+	+	X
ejpam-3826	63	31	eκ(1−(vκ)2	eκ(1−(vκ)2	NOUN
ejpam-3826	63	32	)	)	PUNCT
ejpam-3826	63	33	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	63	34	3kττszαβ	3kττszαβ	NUM
ejpam-3826	63	35	+2	+2	PROPN
ejpam-3826	63	36	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	63	37	)	)	PUNCT
ejpam-3826	63	38	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	63	39	1	1	NUM
ejpam-3826	63	40	rj	rj	PROPN
ejpam-3826	63	41	kτs	kτs	NOUN
ejpam-3826	63	42	1	1	NUM
ejpam-3826	63	43	+	+	NUM
ejpam-3826	63	44	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	63	45	)	)	PUNCT
ejpam-3826	63	46	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	63	47	1	1	NUM
ejpam-3826	63	48	r	r	NOUN
ejpam-3826	63	49	(	(	PUNCT
ejpam-3826	63	50	jkτzsβ	jkτzsβ	X
ejpam-3826	63	51	+	+	CCONJ
ejpam-3826	63	52	jkτszβ	jkτszβ	NOUN
ejpam-3826	63	53	)	)	PUNCT
ejpam-3826	64	1	+	+	NUM
ejpam-3826	64	2	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	64	3	)	)	PUNCT
ejpam-3826	64	4	1−3(vx)2−2(vx)3	1−3(vx)2−2(vx)3	NUM
ejpam-3826	64	5	1	1	NUM
ejpam-3826	64	6	r	r	NOUN
ejpam-3826	64	7	(	(	PUNCT
ejpam-3826	64	8	ukτzs	ukτzs	PROPN
ejpam-3826	64	9	α	α	PROPN
ejpam-3826	64	10	+	+	CCONJ
ejpam-3826	64	11	jkτzα	jkτzα	ADJ
ejpam-3826	64	12	)	)	PUNCT
ejpam-3826	64	13	−	−	PROPN
ejpam-3826	64	14	eκ	eκ	PRON
ejpam-3826	64	15	2(1+vκ)j	2(1+vκ)j	NUM
ejpam-3826	64	16	kτs	kτs	NOUN
ejpam-3826	64	17	α	α	NOUN
ejpam-3826	64	18	/	/	SYM
ejpam-3826	64	19	β∂	β∂	PROPN
ejpam-3826	64	20	s	s	PART
ejpam-3826	64	21	β∂	β∂	PROPN
ejpam-3826	64	22	τ	τ	X
ejpam-3826	64	23	β	β	X
ejpam-3826	64	24	−	−	NOUN
ejpam-3826	64	25	eκ	eκ	X
ejpam-3826	64	26	2(1+vκ)j	2(1+vκ)j	NUM
ejpam-3826	64	27	kτs	kτs	NOUN
ejpam-3826	64	28	β	β	NOUN
ejpam-3826	64	29	/	/	SYM
ejpam-3826	64	30	α∂	α∂	PROPN
ejpam-3826	64	31	s	s	PART
ejpam-3826	64	32	αα	αα	PROPN
ejpam-3826	64	33	τ	τ	PROPN
ejpam-3826	64	34	α	α	PROPN
ejpam-3826	64	35	(	(	PUNCT
ejpam-3826	64	36	11	11	NUM
ejpam-3826	64	37	)	)	PUNCT
ejpam-3826	64	38	where	where	SCONJ
ejpam-3826	64	39	(	(	PUNCT
ejpam-3826	64	40	jkτs	jkτs	ADJ
ejpam-3826	64	41	,	,	PUNCT
ejpam-3826	64	42	jkτsα	jkτsα	NOUN
ejpam-3826	64	43	,	,	PUNCT
ejpam-3826	64	44	jkτsβ	jkτsβ	PROPN
ejpam-3826	64	45	,	,	PUNCT
ejpam-3826	64	46	jkτsα	jkτsα	PROPN
ejpam-3826	64	47	β	β	PROPN
ejpam-3826	64	48	,	,	PUNCT
ejpam-3826	64	49	jkτsβ	jkτsβ	PROPN
ejpam-3826	64	50	α	α	PROPN
ejpam-3826	64	51	,	,	PUNCT
ejpam-3826	64	52	,	,	PUNCT
ejpam-3826	64	53	jkτsαβ	jkτsαβ	NOUN
ejpam-3826	64	54	)	)	PUNCT
ejpam-3826	65	1	=	=	SYM
ejpam-3826	65	2	∫	∫	PROPN
ejpam-3826	65	3	ak	ak	PROPN
ejpam-3826	65	4	fτfs	fτfs	PROPN
ejpam-3826	65	5	(	(	PUNCT
ejpam-3826	65	6	1	1	NUM
ejpam-3826	65	7	,	,	PUNCT
ejpam-3826	65	8	1	1	NUM
ejpam-3826	65	9	+	+	CCONJ
ejpam-3826	65	10	z	z	NOUN
ejpam-3826	65	11	r	r	NOUN
ejpam-3826	65	12	,	,	PUNCT
ejpam-3826	65	13	1	1	NUM
ejpam-3826	65	14	+	+	CCONJ
ejpam-3826	65	15	z	z	NOUN
ejpam-3826	65	16	r	r	NOUN
ejpam-3826	65	17	,	,	PUNCT
ejpam-3826	65	18	1	1	NUM
ejpam-3826	65	19	,	,	PUNCT
ejpam-3826	65	20	1	1	NUM
ejpam-3826	65	21	,	,	PUNCT
ejpam-3826	65	22	1	1	NUM
ejpam-3826	65	23	)	)	PUNCT
ejpam-3826	65	24	dz	dz	PROPN
ejpam-3826	65	25	(	(	PUNCT
ejpam-3826	65	26	12	12	NUM
ejpam-3826	65	27	)	)	PUNCT
ejpam-3826	65	28	(	(	PUNCT
ejpam-3826	65	29	jkτzs	jkτzs	PROPN
ejpam-3826	65	30	,	,	PUNCT
ejpam-3826	65	31	jkτzsα	jkτzsα	PROPN
ejpam-3826	65	32	,	,	PUNCT
ejpam-3826	65	33	jkτzsβ	jkτzsβ	PROPN
ejpam-3826	65	34	,	,	PUNCT
ejpam-3826	65	35	jkτzsα	jkτzsα	PROPN
ejpam-3826	65	36	β	β	PROPN
ejpam-3826	65	37	,	,	PUNCT
ejpam-3826	65	38	jkτzsβ	jkτzsβ	PROPN
ejpam-3826	65	39	α	α	PROPN
ejpam-3826	65	40	,	,	PUNCT
ejpam-3826	65	41	jkτzsαβ	jkτzsαβ	ADJ
ejpam-3826	65	42	)	)	PUNCT
ejpam-3826	66	1	=	=	SYM
ejpam-3826	66	2	∫	∫	PROPN
ejpam-3826	67	1	ak	ak	PROPN
ejpam-3826	67	2	∂fτ	∂fτ	PROPN
ejpam-3826	67	3	∂z	∂z	PROPN
ejpam-3826	68	1	fs	fs	X
ejpam-3826	68	2	(	(	PUNCT
ejpam-3826	68	3	1	1	NUM
ejpam-3826	68	4	,	,	PUNCT
ejpam-3826	68	5	1	1	NUM
ejpam-3826	68	6	+	+	CCONJ
ejpam-3826	68	7	z	z	NOUN
ejpam-3826	68	8	r	r	NOUN
ejpam-3826	68	9	,	,	PUNCT
ejpam-3826	68	10	1	1	NUM
ejpam-3826	68	11	+	+	CCONJ
ejpam-3826	68	12	z	z	NOUN
ejpam-3826	68	13	r	r	NOUN
ejpam-3826	68	14	,	,	PUNCT
ejpam-3826	68	15	1	1	NUM
ejpam-3826	68	16	,	,	PUNCT
ejpam-3826	68	17	1	1	NUM
ejpam-3826	68	18	,	,	PUNCT
ejpam-3826	68	19	1	1	NUM
ejpam-3826	68	20	)	)	PUNCT
ejpam-3826	68	21	dz	dz	PROPN
ejpam-3826	68	22	(	(	PUNCT
ejpam-3826	68	23	13	13	NUM
ejpam-3826	68	24	)	)	PUNCT
ejpam-3826	68	25	(	(	PUNCT
ejpam-3826	68	26	jkτsz	jkτsz	NOUN
ejpam-3826	68	27	,	,	PUNCT
ejpam-3826	68	28	jkτszα	jkτszα	PROPN
ejpam-3826	68	29	,	,	PUNCT
ejpam-3826	68	30	jkτszβ	jkτszβ	NOUN
ejpam-3826	68	31	,	,	PUNCT
ejpam-3826	68	32	jkτszα	jkτszα	PROPN
ejpam-3826	68	33	β	β	X
ejpam-3826	68	34	,	,	PUNCT
ejpam-3826	68	35	jkτszβ	jkτszβ	PROPN
ejpam-3826	68	36	α	α	PRON
ejpam-3826	68	37	,	,	PUNCT
ejpam-3826	68	38	jkτszαβ	jkτszαβ	NOUN
ejpam-3826	68	39	)	)	PUNCT
ejpam-3826	68	40	=	=	SYM
ejpam-3826	68	41	∫	∫	PROPN
ejpam-3826	68	42	ak	ak	PROPN
ejpam-3826	68	43	fτ	fτ	PROPN
ejpam-3826	68	44	∂fs	∂fs	PROPN
ejpam-3826	68	45	∂z	∂z	PROPN
ejpam-3826	68	46	(	(	PUNCT
ejpam-3826	68	47	1	1	NUM
ejpam-3826	68	48	,	,	PUNCT
ejpam-3826	68	49	1	1	NUM
ejpam-3826	68	50	+	+	CCONJ
ejpam-3826	68	51	z	z	NOUN
ejpam-3826	68	52	r	r	NOUN
ejpam-3826	68	53	,	,	PUNCT
ejpam-3826	68	54	1	1	NUM
ejpam-3826	68	55	+	+	CCONJ
ejpam-3826	68	56	z	z	NOUN
ejpam-3826	68	57	r	r	NOUN
ejpam-3826	68	58	,	,	PUNCT
ejpam-3826	68	59	1	1	NUM
ejpam-3826	68	60	,	,	PUNCT
ejpam-3826	68	61	1	1	NUM
ejpam-3826	68	62	,	,	PUNCT
ejpam-3826	68	63	1	1	NUM
ejpam-3826	68	64	)	)	PUNCT
ejpam-3826	68	65	dz	dz	PROPN
ejpam-3826	68	66	(	(	PUNCT
ejpam-3826	68	67	14	14	NUM
ejpam-3826	68	68	)	)	PUNCT
ejpam-3826	68	69	m.	m.	NOUN
ejpam-3826	68	70	zannon	zannon	NOUN
ejpam-3826	68	71	,	,	PUNCT
ejpam-3826	68	72	a.	a.	PROPN
ejpam-3826	68	73	abu	abu	PROPN
ejpam-3826	68	74	-	-	PUNCT
ejpam-3826	68	75	rqayiq	rqayiq	PROPN
ejpam-3826	68	76	,	,	PUNCT
ejpam-3826	68	77	a.	a.	PROPN
ejpam-3826	68	78	al	al	PROPN
ejpam-3826	68	79	-	-	PUNCT
ejpam-3826	68	80	bdour	bdour	PROPN
ejpam-3826	68	81	/	/	SYM
ejpam-3826	68	82	eur	eur	PROPN
ejpam-3826	68	83	.	.	PUNCT
ejpam-3826	69	1	j.	j.	PROPN
ejpam-3826	69	2	pure	pure	PROPN
ejpam-3826	69	3	appl	appl	PROPN
ejpam-3826	69	4	.	.	PROPN
ejpam-3826	69	5	math	math	PROPN
ejpam-3826	69	6	,	,	PUNCT
ejpam-3826	69	7	13	13	NUM
ejpam-3826	69	8	(	(	PUNCT
ejpam-3826	69	9	4	4	NUM
ejpam-3826	69	10	)	)	PUNCT
ejpam-3826	69	11	(	(	PUNCT
ejpam-3826	69	12	2020	2020	NUM
ejpam-3826	69	13	)	)	PUNCT
ejpam-3826	69	14	,	,	PUNCT
ejpam-3826	69	15	766	766	NUM
ejpam-3826	69	16	-	-	SYM
ejpam-3826	69	17	778	778	NUM
ejpam-3826	69	18	770	770	NUM
ejpam-3826	69	19	(	(	PUNCT
ejpam-3826	69	20	jkτ2s2	jkτ2s2	PROPN
ejpam-3826	69	21	,	,	PUNCT
ejpam-3826	69	22	jkτ2szα	jkτ2szα	NOUN
ejpam-3826	69	23	,	,	PUNCT
ejpam-3826	69	24	jkτ2szβ	jkτ2szβ	PROPN
ejpam-3826	69	25	,	,	PUNCT
ejpam-3826	69	26	jkτzszα	jkτzszα	PROPN
ejpam-3826	69	27	β	β	PROPN
ejpam-3826	69	28	,	,	PUNCT
ejpam-3826	69	29	jkτzszβ	jkτzszβ	PROPN
ejpam-3826	69	30	,	,	PUNCT
ejpam-3826	69	31	jkτzszαβ	jkτzszαβ	ADV
ejpam-3826	69	32	)	)	PUNCT
ejpam-3826	70	1	=	=	SYM
ejpam-3826	70	2	∫	∫	PROPN
ejpam-3826	71	1	ak	ak	PROPN
ejpam-3826	71	2	∂fτ	∂fτ	PROPN
ejpam-3826	71	3	∂z	∂z	PROPN
ejpam-3826	71	4	∂fs	∂fs	PROPN
ejpam-3826	71	5	∂z	∂z	PROPN
ejpam-3826	71	6	(	(	PUNCT
ejpam-3826	71	7	1	1	NUM
ejpam-3826	71	8	,	,	PUNCT
ejpam-3826	71	9	1	1	NUM
ejpam-3826	71	10	+	+	CCONJ
ejpam-3826	71	11	z	z	NOUN
ejpam-3826	71	12	r	r	NOUN
ejpam-3826	71	13	,	,	PUNCT
ejpam-3826	71	14	1	1	NUM
ejpam-3826	71	15	+	+	CCONJ
ejpam-3826	71	16	z	z	NOUN
ejpam-3826	71	17	r	r	NOUN
ejpam-3826	71	18	,	,	PUNCT
ejpam-3826	71	19	1	1	NUM
ejpam-3826	71	20	,	,	PUNCT
ejpam-3826	71	21	1	1	NUM
ejpam-3826	71	22	,	,	PUNCT
ejpam-3826	71	23	1	1	NUM
ejpam-3826	71	24	)	)	PUNCT
ejpam-3826	71	25	dz	dz	PROPN
ejpam-3826	71	26	(	(	PUNCT
ejpam-3826	71	27	15	15	NUM
ejpam-3826	71	28	)	)	PUNCT
ejpam-3826	71	29	the	the	DET
ejpam-3826	71	30	application	application	NOUN
ejpam-3826	71	31	of	of	ADP
ejpam-3826	71	32	boundary	boundary	ADJ
ejpam-3826	71	33	conditions	condition	NOUN
ejpam-3826	71	34	makes	make	VERB
ejpam-3826	71	35	use	use	NOUN
ejpam-3826	71	36	of	of	ADP
ejpam-3826	71	37	the	the	DET
ejpam-3826	71	38	fundamental	fundamental	ADJ
ejpam-3826	71	39	nucleo	nucleo	NOUN
ejpam-3826	71	40	πd	πd	ADP
ejpam-3826	71	41	in	in	ADP
ejpam-3826	71	42	the	the	DET
ejpam-3826	71	43	form	form	NOUN
ejpam-3826	71	44	[	[	X
ejpam-3826	71	45	13],[14],[15],[17	13],[14],[15],[17	NUM
ejpam-3826	71	46	]	]	SYM
ejpam-3826	71	47	:	:	PUNCT
ejpam-3826	71	48	(	(	PUNCT
ejpam-3826	71	49	πτsk	πτsk	X
ejpam-3826	71	50	uu	uu	ADJ
ejpam-3826	71	51	)	)	PUNCT
ejpam-3826	71	52	11	11	NUM
ejpam-3826	71	53	=	=	SYM
ejpam-3826	71	54	cos	cos	X
ejpam-3826	71	55	(	(	PUNCT
ejpam-3826	71	56	ϕα	ϕα	PROPN
ejpam-3826	71	57	)	)	PUNCT
ejpam-3826	71	58	eκ	eκ	PROPN
ejpam-3826	72	1	(	(	PUNCT
ejpam-3826	72	2	1−	1−	NUM
ejpam-3826	72	3	(	(	PUNCT
ejpam-3826	72	4	vκ)2	vκ)2	PROPN
ejpam-3826	72	5	)	)	PUNCT
ejpam-3826	72	6	1−	1−	NUM
ejpam-3826	72	7	3	3	NUM
ejpam-3826	72	8	(	(	PUNCT
ejpam-3826	72	9	vκ)2	vκ)2	NOUN
ejpam-3826	72	10	−	−	PROPN
ejpam-3826	72	11	2	2	NUM
ejpam-3826	72	12	(	(	PUNCT
ejpam-3826	72	13	vκ)3	vκ)3	PROPN
ejpam-3826	72	14	jkτsβ	jkτsβ	PROPN
ejpam-3826	72	15	/	/	SYM
ejpam-3826	72	16	α∂	α∂	PROPN
ejpam-3826	72	17	s	s	PROPN
ejpam-3826	72	18	α	α	PROPN
ejpam-3826	72	19	+	+	X
ejpam-3826	72	20	cos	cos	PROPN
ejpam-3826	72	21	(	(	PUNCT
ejpam-3826	72	22	ϕβ	ϕβ	PROPN
ejpam-3826	72	23	)	)	PUNCT
ejpam-3826	72	24	eκ	eκ	ADV
ejpam-3826	72	25	2	2	NUM
ejpam-3826	72	26	(	(	PUNCT
ejpam-3826	72	27	1	1	NUM
ejpam-3826	72	28	+	+	NUM
ejpam-3826	72	29	vκ	vκ	PROPN
ejpam-3826	72	30	)	)	PUNCT
ejpam-3826	72	31	jkτα	jkτα	NOUN
ejpam-3826	72	32	/	/	SYM
ejpam-3826	72	33	β∂	β∂	PROPN
ejpam-3826	72	34	s	s	PART
ejpam-3826	72	35	β	β	X
ejpam-3826	72	36	(	(	PUNCT
ejpam-3826	72	37	16	16	NUM
ejpam-3826	72	38	)	)	PUNCT
ejpam-3826	72	39	(	(	PUNCT
ejpam-3826	72	40	πτsk	πτsk	X
ejpam-3826	72	41	uu	uu	INTJ
ejpam-3826	72	42	)	)	PUNCT
ejpam-3826	72	43	12	12	NUM
ejpam-3826	72	44	=	=	SYM
ejpam-3826	72	45	cos	cos	X
ejpam-3826	72	46	(	(	PUNCT
ejpam-3826	72	47	ϕα	ϕα	PROPN
ejpam-3826	72	48	)	)	PUNCT
ejpam-3826	72	49	eκ	eκ	PROPN
ejpam-3826	73	1	(	(	PUNCT
ejpam-3826	73	2	νκ	νκ	ADP
ejpam-3826	73	3	+	+	CCONJ
ejpam-3826	73	4	(	(	PUNCT
ejpam-3826	73	5	νκ)2	νκ)2	NOUN
ejpam-3826	73	6	)	)	PUNCT
ejpam-3826	73	7	1−	1−	NUM
ejpam-3826	73	8	3	3	NUM
ejpam-3826	73	9	(	(	PUNCT
ejpam-3826	73	10	νκ)2	νκ)2	NOUN
ejpam-3826	73	11	−	−	PROPN
ejpam-3826	73	12	2	2	NUM
ejpam-3826	73	13	(	(	PUNCT
ejpam-3826	73	14	νκ)3	νκ)3	PROPN
ejpam-3826	73	15	jkτs∂sβ	jkτs∂sβ	PROPN
ejpam-3826	73	16	+	+	CCONJ
ejpam-3826	73	17	cos	cos	PROPN
ejpam-3826	73	18	(	(	PUNCT
ejpam-3826	73	19	ϕβ	ϕβ	PROPN
ejpam-3826	73	20	)	)	PUNCT
ejpam-3826	73	21	eκ	eκ	ADV
ejpam-3826	73	22	2	2	NUM
ejpam-3826	73	23	(	(	PUNCT
ejpam-3826	73	24	1	1	NUM
ejpam-3826	73	25	+	+	NUM
ejpam-3826	73	26	νκ	νκ	NOUN
ejpam-3826	73	27	)	)	PUNCT
ejpam-3826	73	28	jkτs∂sα	jkτs∂sα	NOUN
ejpam-3826	73	29	(	(	PUNCT
ejpam-3826	73	30	17	17	NUM
ejpam-3826	73	31	)	)	PUNCT
ejpam-3826	73	32	(	(	PUNCT
ejpam-3826	73	33	πτsk	πτsk	X
ejpam-3826	73	34	uu	uu	ADJ
ejpam-3826	73	35	)	)	PUNCT
ejpam-3826	73	36	13	13	NUM
ejpam-3826	73	37	=	=	SYM
ejpam-3826	73	38	cos	cos	X
ejpam-3826	73	39	(	(	PUNCT
ejpam-3826	73	40	ϕα	ϕα	NOUN
ejpam-3826	73	41	)	)	PUNCT
ejpam-3826	73	42	1	1	NUM
ejpam-3826	73	43	r	r	NOUN
ejpam-3826	73	44	eκ(1−(vκ)2	eκ(1−(vκ)2	NOUN
ejpam-3826	73	45	)	)	PUNCT
ejpam-3826	73	46	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	74	1	jkτsβ	jkτsβ	PROPN
ejpam-3826	74	2	/	/	SYM
ejpam-3826	74	3	α	α	PROPN
ejpam-3826	74	4	+	+	X
ejpam-3826	74	5	cos	cos	X
ejpam-3826	74	6	(	(	PUNCT
ejpam-3826	74	7	ϕα	ϕα	NOUN
ejpam-3826	74	8	)	)	PUNCT
ejpam-3826	74	9	1	1	NUM
ejpam-3826	74	10	r	r	NOUN
ejpam-3826	74	11	eκ(vκ+(vκ)2	eκ(vκ+(vκ)2	NOUN
ejpam-3826	74	12	)	)	PUNCT
ejpam-3826	74	13	1−3(vκ)2−2(vκ)3	1−3(vκ)2−2(vκ)3	NUM
ejpam-3826	75	1	jkτs	jkτs	NOUN
ejpam-3826	75	2	+	+	CCONJ
ejpam-3826	75	3	cos	cos	PROPN
ejpam-3826	75	4	(	(	PUNCT
ejpam-3826	75	5	ϕα	ϕα	NOUN
ejpam-3826	75	6	)	)	PUNCT
ejpam-3826	75	7	eκ(νκ+(νκ)2	eκ(νκ+(νκ)2	NOUN
ejpam-3826	75	8	)	)	PUNCT
ejpam-3826	75	9	1−3(νκ)2−2(νκ)3	1−3(νκ)2−2(νκ)3	NUM
ejpam-3826	76	1	jkτ2β	jkτ2β	X
ejpam-3826	76	2	(	(	PUNCT
ejpam-3826	76	3	18	18	NUM
ejpam-3826	76	4	)	)	PUNCT
ejpam-3826	76	5	(	(	PUNCT
ejpam-3826	76	6	πτsk	πτsk	X
ejpam-3826	76	7	uu	uu	INTJ
ejpam-3826	76	8	)	)	PUNCT
ejpam-3826	76	9	21	21	NUM
ejpam-3826	76	10	=	=	SYM
ejpam-3826	76	11	cos	cos	PROPN
ejpam-3826	76	12	(	(	PUNCT
ejpam-3826	76	13	ϕβ	ϕβ	PROPN
ejpam-3826	76	14	)	)	PUNCT
ejpam-3826	76	15	eκ	eκ	PROPN
ejpam-3826	77	1	(	(	PUNCT
ejpam-3826	77	2	νκ	νκ	ADP
ejpam-3826	77	3	+	+	CCONJ
ejpam-3826	77	4	(	(	PUNCT
ejpam-3826	77	5	νk	νk	NOUN
ejpam-3826	77	6	)	)	PUNCT
ejpam-3826	77	7	2	2	NUM
ejpam-3826	77	8	)	)	PUNCT
ejpam-3826	77	9	1−	1−	NUM
ejpam-3826	77	10	3	3	NUM
ejpam-3826	77	11	(	(	PUNCT
ejpam-3826	77	12	νκ)2	νκ)2	NOUN
ejpam-3826	77	13	−	−	PROPN
ejpam-3826	77	14	2	2	NUM
ejpam-3826	77	15	(	(	PUNCT
ejpam-3826	77	16	νκ)3	νκ)3	PROPN
ejpam-3826	77	17	jkτs∂sα	jkτs∂sα	PROPN
ejpam-3826	78	1	+	+	X
ejpam-3826	78	2	cos	cos	X
ejpam-3826	78	3	(	(	PUNCT
ejpam-3826	78	4	ϕα	ϕα	PROPN
ejpam-3826	78	5	)	)	PUNCT
ejpam-3826	78	6	eκ	eκ	ADV
ejpam-3826	78	7	2	2	NUM
ejpam-3826	78	8	(	(	PUNCT
ejpam-3826	78	9	1	1	NUM
ejpam-3826	78	10	+	+	NUM
ejpam-3826	78	11	νκ	νκ	NOUN
ejpam-3826	78	12	)	)	PUNCT
ejpam-3826	78	13	jkτsδsβ	jkτsδsβ	NOUN
ejpam-3826	78	14	(	(	PUNCT
ejpam-3826	78	15	19	19	NUM
ejpam-3826	78	16	)	)	PUNCT
ejpam-3826	78	17	(	(	PUNCT
ejpam-3826	78	18	πτsk	πτsk	X
ejpam-3826	78	19	uu	uu	ADJ
ejpam-3826	78	20	)	)	PUNCT
ejpam-3826	78	21	22	22	NUM
ejpam-3826	78	22	=	=	SYM
ejpam-3826	78	23	cos	cos	PROPN
ejpam-3826	78	24	(	(	PUNCT
ejpam-3826	78	25	ϕα	ϕα	PROPN
ejpam-3826	78	26	)	)	PUNCT
ejpam-3826	78	27	eκ	eκ	ADV
ejpam-3826	78	28	2	2	NUM
ejpam-3826	78	29	(	(	PUNCT
ejpam-3826	78	30	1	1	NUM
ejpam-3826	78	31	+	+	NUM
ejpam-3826	78	32	vκ	vκ	PROPN
ejpam-3826	78	33	)	)	PUNCT
ejpam-3826	78	34	jkτsβ	jkτsβ	PROPN
ejpam-3826	78	35	/	/	SYM
ejpam-3826	78	36	α∂	α∂	PROPN
ejpam-3826	78	37	s	s	PROPN
ejpam-3826	78	38	α	α	X
ejpam-3826	78	39	(	(	PUNCT
ejpam-3826	78	40	20	20	NUM
ejpam-3826	78	41	)	)	PUNCT
ejpam-3826	78	42	(	(	PUNCT
ejpam-3826	78	43	πτsk	πτsk	NOUN
ejpam-3826	78	44	uu	uu	INTJ
ejpam-3826	78	45	)	)	PUNCT
ejpam-3826	78	46	23	23	NUM
ejpam-3826	78	47	=	=	SYM
ejpam-3826	78	48	cos	cos	PROPN
ejpam-3826	78	49	(	(	PUNCT
ejpam-3826	78	50	ϕβ	ϕβ	PROPN
ejpam-3826	78	51	)	)	PUNCT
ejpam-3826	78	52	1	1	NUM
ejpam-3826	78	53	r	r	NOUN
ejpam-3826	78	54	eκ	eκ	X
ejpam-3826	78	55	(	(	PUNCT
ejpam-3826	78	56	vκ	vκ	NOUN
ejpam-3826	78	57	+	+	X
ejpam-3826	78	58	(	(	PUNCT
ejpam-3826	78	59	vκ)2	vκ)2	PROPN
ejpam-3826	78	60	)	)	PUNCT
ejpam-3826	78	61	1−	1−	NUM
ejpam-3826	78	62	3	3	NUM
ejpam-3826	78	63	(	(	PUNCT
ejpam-3826	78	64	vκ)2	vκ)2	NOUN
ejpam-3826	78	65	−	−	PROPN
ejpam-3826	78	66	2	2	NUM
ejpam-3826	78	67	(	(	PUNCT
ejpam-3826	78	68	vκ)3	vκ)3	NOUN
ejpam-3826	78	69	jkts	jkts	NOUN
ejpam-3826	78	70	+	+	X
ejpam-3826	78	71	cos	cos	PROPN
ejpam-3826	78	72	(	(	PUNCT
ejpam-3826	78	73	ϕβ	ϕβ	PROPN
ejpam-3826	78	74	)	)	PUNCT
ejpam-3826	78	75	eκ	eκ	PROPN
ejpam-3826	78	76	(	(	PUNCT
ejpam-3826	78	77	vκ	vκ	PROPN
ejpam-3826	78	78	+	+	CCONJ
ejpam-3826	78	79	(	(	PUNCT
ejpam-3826	78	80	vκ)2	vκ)2	PROPN
ejpam-3826	78	81	)	)	PUNCT
ejpam-3826	78	82	1−	1−	NUM
ejpam-3826	78	83	3	3	NUM
ejpam-3826	78	84	(	(	PUNCT
ejpam-3826	78	85	vκ)2	vκ)2	NOUN
ejpam-3826	78	86	−	−	PROPN
ejpam-3826	78	87	2	2	NUM
ejpam-3826	78	88	(	(	PUNCT
ejpam-3826	78	89	vκ)3	vκ)3	NOUN
ejpam-3826	78	90	jkτεzzα	jkτεzzα	ADJ
ejpam-3826	78	91	(	(	PUNCT
ejpam-3826	78	92	21	21	NUM
ejpam-3826	78	93	)	)	PUNCT
ejpam-3826	78	94	(	(	PUNCT
ejpam-3826	78	95	πτsk	πτsk	X
ejpam-3826	78	96	uu	uu	INTJ
ejpam-3826	78	97	)	)	PUNCT
ejpam-3826	78	98	31	31	NUM
ejpam-3826	78	99	=	=	SYM
ejpam-3826	78	100	−	−	PROPN
ejpam-3826	78	101	cos	cos	INTJ
ejpam-3826	78	102	(	(	PUNCT
ejpam-3826	78	103	ϕα	ϕα	NOUN
ejpam-3826	78	104	)	)	PUNCT
ejpam-3826	78	105	1	1	NUM
ejpam-3826	78	106	r	r	NOUN
ejpam-3826	78	107	eκ	eκ	NOUN
ejpam-3826	78	108	2	2	NUM
ejpam-3826	78	109	(	(	PUNCT
ejpam-3826	78	110	1	1	NUM
ejpam-3826	78	111	+	+	NUM
ejpam-3826	78	112	vκ	vκ	PROPN
ejpam-3826	78	113	)	)	PUNCT
ejpam-3826	78	114	jkτsβ	jkτsβ	PROPN
ejpam-3826	78	115	/	/	SYM
ejpam-3826	78	116	α	α	PROPN
ejpam-3826	79	1	+	+	X
ejpam-3826	79	2	cos	cos	X
ejpam-3826	79	3	(	(	PUNCT
ejpam-3826	79	4	ϕα	ϕα	PROPN
ejpam-3826	79	5	)	)	PUNCT
ejpam-3826	79	6	eκ	eκ	ADV
ejpam-3826	79	7	2	2	NUM
ejpam-3826	79	8	(	(	PUNCT
ejpam-3826	79	9	1	1	NUM
ejpam-3826	79	10	+	+	NUM
ejpam-3826	79	11	vκ	vκ	PROPN
ejpam-3826	79	12	)	)	PUNCT
ejpam-3826	79	13	jkτszβ	jkτszβ	NOUN
ejpam-3826	79	14	(	(	PUNCT
ejpam-3826	79	15	22	22	NUM
ejpam-3826	79	16	)	)	PUNCT
ejpam-3826	79	17	(	(	PUNCT
ejpam-3826	79	18	πτsk	πτsk	X
ejpam-3826	79	19	uu	uu	INTJ
ejpam-3826	79	20	)	)	PUNCT
ejpam-3826	79	21	32	32	NUM
ejpam-3826	79	22	=	=	SYM
ejpam-3826	79	23	−	−	PROPN
ejpam-3826	79	24	cos	cos	PROPN
ejpam-3826	79	25	(	(	PUNCT
ejpam-3826	79	26	ϕβ	ϕβ	PROPN
ejpam-3826	79	27	)	)	PUNCT
ejpam-3826	79	28	1	1	NUM
ejpam-3826	79	29	r	r	NOUN
ejpam-3826	79	30	eκ	eκ	NOUN
ejpam-3826	79	31	2	2	NUM
ejpam-3826	79	32	(	(	PUNCT
ejpam-3826	79	33	1	1	NUM
ejpam-3826	79	34	+	+	NUM
ejpam-3826	79	35	vκ	vκ	PROPN
ejpam-3826	79	36	)	)	PUNCT
ejpam-3826	79	37	jkτsα	jkτsα	NOUN
ejpam-3826	79	38	/	/	SYM
ejpam-3826	79	39	β	β	PROPN
ejpam-3826	79	40	+	+	CCONJ
ejpam-3826	79	41	cos	cos	PROPN
ejpam-3826	79	42	(	(	PUNCT
ejpam-3826	79	43	ϕβ	ϕβ	PROPN
ejpam-3826	79	44	)	)	PUNCT
ejpam-3826	79	45	eκ	eκ	ADV
ejpam-3826	79	46	2	2	NUM
ejpam-3826	79	47	(	(	PUNCT
ejpam-3826	79	48	1	1	NUM
ejpam-3826	79	49	+	+	NUM
ejpam-3826	79	50	vκ	vκ	PROPN
ejpam-3826	79	51	)	)	PUNCT
ejpam-3826	79	52	jkτszα	jkτszα	PROPN
ejpam-3826	79	53	(	(	PUNCT
ejpam-3826	79	54	23	23	NUM
ejpam-3826	79	55	)	)	PUNCT
ejpam-3826	79	56	(	(	PUNCT
ejpam-3826	79	57	πτsk	πτsk	X
ejpam-3826	79	58	uu	uu	INTJ
ejpam-3826	79	59	)	)	PUNCT
ejpam-3826	79	60	33	33	NUM
ejpam-3826	79	61	=	=	SYM
ejpam-3826	79	62	cos	cos	PROPN
ejpam-3826	79	63	(	(	PUNCT
ejpam-3826	79	64	ϕα	ϕα	PROPN
ejpam-3826	79	65	)	)	PUNCT
ejpam-3826	79	66	eκ	eκ	ADV
ejpam-3826	79	67	2	2	NUM
ejpam-3826	79	68	(	(	PUNCT
ejpam-3826	79	69	1	1	NUM
ejpam-3826	79	70	+	+	NUM
ejpam-3826	79	71	vκ	vκ	PROPN
ejpam-3826	79	72	)	)	PUNCT
ejpam-3826	79	73	jkτsβ	jkτsβ	PROPN
ejpam-3826	79	74	/	/	SYM
ejpam-3826	79	75	α∂	α∂	PROPN
ejpam-3826	79	76	s	s	PROPN
ejpam-3826	79	77	α	α	PROPN
ejpam-3826	79	78	+	+	X
ejpam-3826	79	79	cos	cos	PROPN
ejpam-3826	79	80	(	(	PUNCT
ejpam-3826	79	81	ϕβ	ϕβ	PROPN
ejpam-3826	79	82	)	)	PUNCT
ejpam-3826	79	83	eκ	eκ	ADV
ejpam-3826	79	84	2	2	NUM
ejpam-3826	79	85	(	(	PUNCT
ejpam-3826	79	86	1	1	NUM
ejpam-3826	79	87	+	+	NUM
ejpam-3826	79	88	vκ	vκ	PROPN
ejpam-3826	79	89	)	)	PUNCT
ejpam-3826	79	90	jkτsα	jkτsα	NOUN
ejpam-3826	79	91	/	/	SYM
ejpam-3826	79	92	β	β	PROPN
ejpam-3826	79	93	∂	∂	NOUN
ejpam-3826	79	94	s	s	PART
ejpam-3826	79	95	β	β	X
ejpam-3826	79	96	(	(	PUNCT
ejpam-3826	79	97	24	24	NUM
ejpam-3826	79	98	)	)	PUNCT
ejpam-3826	79	99	different	different	ADJ
ejpam-3826	79	100	studies	study	NOUN
ejpam-3826	79	101	describe	describe	VERB
ejpam-3826	79	102	the	the	DET
ejpam-3826	79	103	radial	radial	ADJ
ejpam-3826	79	104	base	base	NOUN
ejpam-3826	79	105	function	function	NOUN
ejpam-3826	79	106	s(x	s(x	PROPN
ejpam-3826	79	107	)	)	PUNCT
ejpam-3826	79	108	as	as	ADP
ejpam-3826	79	109	a	a	DET
ejpam-3826	79	110	univariate	univariate	ADJ
ejpam-3826	79	111	continuous	continuous	ADJ
ejpam-3826	79	112	realvalued	realvalue	VERB
ejpam-3826	79	113	function	function	NOUN
ejpam-3826	79	114	that	that	PRON
ejpam-3826	79	115	mainly	mainly	ADV
ejpam-3826	79	116	depends	depend	VERB
ejpam-3826	79	117	on	on	ADP
ejpam-3826	79	118	the	the	DET
ejpam-3826	79	119	distance	distance	NOUN
ejpam-3826	79	120	between	between	ADP
ejpam-3826	79	121	the	the	DET
ejpam-3826	79	122	origin	origin	NOUN
ejpam-3826	79	123	or	or	CCONJ
ejpam-3826	79	124	other	other	ADJ
ejpam-3826	79	125	fixed	fix	VERB
ejpam-3826	79	126	m.	m.	NOUN
ejpam-3826	79	127	zannon	zannon	PROPN
ejpam-3826	79	128	,	,	PUNCT
ejpam-3826	79	129	a.	a.	PROPN
ejpam-3826	79	130	abu	abu	PROPN
ejpam-3826	79	131	-	-	PUNCT
ejpam-3826	79	132	rqayiq	rqayiq	PROPN
ejpam-3826	79	133	,	,	PUNCT
ejpam-3826	79	134	a.	a.	PROPN
ejpam-3826	79	135	al	al	PROPN
ejpam-3826	79	136	-	-	PUNCT
ejpam-3826	79	137	bdour	bdour	PROPN
ejpam-3826	79	138	/	/	SYM
ejpam-3826	79	139	eur	eur	PROPN
ejpam-3826	79	140	.	.	PUNCT
ejpam-3826	80	1	j.	j.	PROPN
ejpam-3826	80	2	pure	pure	PROPN
ejpam-3826	80	3	appl	appl	PROPN
ejpam-3826	80	4	.	.	PROPN
ejpam-3826	80	5	math	math	PROPN
ejpam-3826	80	6	,	,	PUNCT
ejpam-3826	80	7	13	13	NUM
ejpam-3826	80	8	(	(	PUNCT
ejpam-3826	80	9	4	4	NUM
ejpam-3826	80	10	)	)	PUNCT
ejpam-3826	80	11	(	(	PUNCT
ejpam-3826	80	12	2020	2020	NUM
ejpam-3826	80	13	)	)	PUNCT
ejpam-3826	80	14	,	,	PUNCT
ejpam-3826	80	15	766	766	NUM
ejpam-3826	80	16	-	-	SYM
ejpam-3826	80	17	778	778	NUM
ejpam-3826	80	18	771	771	NUM
ejpam-3826	80	19	center	center	NOUN
ejpam-3826	80	20	point	point	NOUN
ejpam-3826	81	1	[	[	X
ejpam-3826	81	2	2],[9],[28	2],[9],[28	X
ejpam-3826	81	3	]	]	PUNCT
ejpam-3826	81	4	.	.	PUNCT
ejpam-3826	82	1	definition	definition	NOUN
ejpam-3826	82	2	:	:	PUNCT
ejpam-3826	83	1	[	[	X
ejpam-3826	83	2	2],[9],[12	2],[9],[12	NUM
ejpam-3826	83	3	]	]	X
ejpam-3826	83	4	let	let	VERB
ejpam-3826	83	5	r+	r+	NOUN
ejpam-3826	83	6	=	=	PRON
ejpam-3826	83	7	{	{	PUNCT
ejpam-3826	83	8	x	x	PUNCT
ejpam-3826	83	9	∈	∈	PROPN
ejpam-3826	83	10	r	r	NOUN
ejpam-3826	83	11	,	,	PUNCT
ejpam-3826	83	12	x	x	X
ejpam-3826	83	13	≥	≥	NOUN
ejpam-3826	83	14	0	0	NUM
ejpam-3826	83	15	}	}	PUNCT
ejpam-3826	83	16	be	be	AUX
ejpam-3826	83	17	the	the	DET
ejpam-3826	83	18	non	non	ADJ
ejpam-3826	83	19	-	-	ADJ
ejpam-3826	83	20	negative	negative	ADJ
ejpam-3826	83	21	half	half	NOUN
ejpam-3826	83	22	line	line	NOUN
ejpam-3826	83	23	and	and	CCONJ
ejpam-3826	83	24	let	let	VERB
ejpam-3826	83	25	φ	φ	PROPN
ejpam-3826	83	26	:	:	PUNCT
ejpam-3826	83	27	r+	r+	X
ejpam-3826	83	28	→	→	PUNCT
ejpam-3826	83	29	r	r	NOUN
ejpam-3826	83	30	be	be	AUX
ejpam-3826	83	31	a	a	DET
ejpam-3826	83	32	continuous	continuous	ADJ
ejpam-3826	83	33	function	function	NOUN
ejpam-3826	83	34	with	with	ADP
ejpam-3826	83	35	φ(0	φ(0	ADJ
ejpam-3826	83	36	)	)	PUNCT
ejpam-3826	83	37	≥	≥	NOUN
ejpam-3826	83	38	0	0	NUM
ejpam-3826	84	1	a	a	DET
ejpam-3826	84	2	radial	radial	ADJ
ejpam-3826	84	3	basis	basis	NOUN
ejpam-3826	84	4	function	function	NOUN
ejpam-3826	84	5	on	on	ADP
ejpam-3826	84	6	rd	rd	PROPN
ejpam-3826	84	7	is	be	AUX
ejpam-3826	84	8	a	a	DET
ejpam-3826	84	9	function	function	NOUN
ejpam-3826	84	10	of	of	ADP
ejpam-3826	84	11	the	the	DET
ejpam-3826	84	12	form	form	NOUN
ejpam-3826	84	13	φ	φ	PROPN
ejpam-3826	84	14	(	(	PUNCT
ejpam-3826	84	15	‖x−	‖x−	PROPN
ejpam-3826	84	16	xi‖	xi‖	PROPN
ejpam-3826	84	17	)	)	PUNCT
ejpam-3826	84	18	,	,	PUNCT
ejpam-3826	84	19	where	where	SCONJ
ejpam-3826	84	20	x	x	X
ejpam-3826	84	21	,	,	PUNCT
ejpam-3826	84	22	xi	xi	PROPN
ejpam-3826	84	23	∈	∈	PROPN
ejpam-3826	84	24	rd	rd	PROPN
ejpam-3826	84	25	and	and	CCONJ
ejpam-3826	84	26	r	r	PROPN
ejpam-3826	84	27	=	=	SYM
ejpam-3826	84	28	‖x−	‖x−	PROPN
ejpam-3826	84	29	xi‖	xi‖	PROPN
ejpam-3826	84	30	denotes	denote	VERB
ejpam-3826	84	31	the	the	DET
ejpam-3826	84	32	euclidean	euclidean	ADJ
ejpam-3826	84	33	distance	distance	NOUN
ejpam-3826	84	34	between	between	ADP
ejpam-3826	84	35	x	x	PROPN
ejpam-3826	84	36	and	and	CCONJ
ejpam-3826	84	37	xi	xi	PROPN
ejpam-3826	84	38	.	.	PUNCT
ejpam-3826	85	1	if	if	SCONJ
ejpam-3826	85	2	n	n	PRON
ejpam-3826	85	3	points	point	VERB
ejpam-3826	85	4	{	{	PUNCT
ejpam-3826	85	5	xi}ni=1	xi}ni=1	PROPN
ejpam-3826	85	6	in	in	ADP
ejpam-3826	85	7	rd	rd	PROPN
ejpam-3826	85	8	are	be	AUX
ejpam-3826	85	9	chosen	choose	VERB
ejpam-3826	85	10	,	,	PUNCT
ejpam-3826	85	11	then	then	ADV
ejpam-3826	85	12	by	by	ADP
ejpam-3826	85	13	custom	custom	NOUN
ejpam-3826	85	14	s(x	s(x	NOUN
ejpam-3826	85	15	)	)	PUNCT
ejpam-3826	86	1	=	=	PUNCT
ejpam-3826	87	1	∑n	∑n	PROPN
ejpam-3826	87	2	i=1	i=1	PROPN
ejpam-3826	87	3	λiφ	λiφ	PROPN
ejpam-3826	87	4	(	(	PUNCT
ejpam-3826	87	5	‖x−	‖x−	PROPN
ejpam-3826	87	6	xi‖	xi‖	PROPN
ejpam-3826	87	7	)	)	PUNCT
ejpam-3826	87	8	;	;	PUNCT
ejpam-3826	87	9	λi	λi	ADP
ejpam-3826	87	10	∈	∈	NOUN
ejpam-3826	87	11	r	r	NOUN
ejpam-3826	87	12	is	be	AUX
ejpam-3826	87	13	called	call	VERB
ejpam-3826	87	14	a	a	DET
ejpam-3826	87	15	radial	radial	ADJ
ejpam-3826	87	16	basis	basis	NOUN
ejpam-3826	87	17	functions	function	NOUN
ejpam-3826	87	18	as	as	ADV
ejpam-3826	87	19	well	well	ADV
ejpam-3826	87	20	.	.	PUNCT
ejpam-3826	88	1	the	the	DET
ejpam-3826	88	2	euclidean	euclidean	ADJ
ejpam-3826	88	3	distance	distance	NOUN
ejpam-3826	88	4	is	be	AUX
ejpam-3826	88	5	therefore	therefore	ADV
ejpam-3826	88	6	real	real	ADJ
ejpam-3826	88	7	and	and	CCONJ
ejpam-3826	88	8	non	non	ADJ
ejpam-3826	88	9	-	-	ADJ
ejpam-3826	88	10	negative	negative	ADJ
ejpam-3826	88	11	and	and	CCONJ
ejpam-3826	88	12	is	be	AUX
ejpam-3826	88	13	a	a	DET
ejpam-3826	88	14	parameter	parameter	NOUN
ejpam-3826	88	15	for	for	ADP
ejpam-3826	88	16	controlling	control	VERB
ejpam-3826	88	17	the	the	DET
ejpam-3826	88	18	shape	shape	NOUN
ejpam-3826	88	19	of	of	ADP
ejpam-3826	88	20	the	the	DET
ejpam-3826	88	21	functions	function	NOUN
ejpam-3826	88	22	with	with	ADP
ejpam-3826	88	23	effects	effect	NOUN
ejpam-3826	88	24	on	on	ADP
ejpam-3826	88	25	the	the	DET
ejpam-3826	88	26	convergence	convergence	NOUN
ejpam-3826	88	27	rate	rate	NOUN
ejpam-3826	88	28	[	[	X
ejpam-3826	88	29	1],[9],[12	1],[9],[12	NOUN
ejpam-3826	88	30	]	]	X
ejpam-3826	88	31	.	.	PUNCT
ejpam-3826	89	1	we	we	PRON
ejpam-3826	89	2	consider	consider	VERB
ejpam-3826	89	3	the	the	DET
ejpam-3826	89	4	elliptic	elliptic	ADJ
ejpam-3826	89	5	partial	partial	ADJ
ejpam-3826	89	6	differential	differential	NOUN
ejpam-3826	89	7	operator	operator	NOUN
ejpam-3826	89	8	d	d	NOUN
ejpam-3826	89	9	acting	act	VERB
ejpam-3826	89	10	in	in	ADP
ejpam-3826	89	11	a	a	DET
ejpam-3826	89	12	bounded	bounded	ADJ
ejpam-3826	89	13	region	region	NOUN
ejpam-3826	89	14	ω	ω	PROPN
ejpam-3826	89	15	in	in	ADP
ejpam-3826	89	16	rn	rn	PROPN
ejpam-3826	89	17	,	,	PUNCT
ejpam-3826	89	18	and	and	CCONJ
ejpam-3826	89	19	∂ω	∂ω	PROPN
ejpam-3826	89	20	is	be	AUX
ejpam-3826	89	21	the	the	DET
ejpam-3826	89	22	boundary	boundary	NOUN
ejpam-3826	89	23	of	of	ADP
ejpam-3826	89	24	the	the	DET
ejpam-3826	89	25	domain	domain	NOUN
ejpam-3826	89	26	for	for	ADP
ejpam-3826	89	27	purposes	purpose	NOUN
ejpam-3826	89	28	of	of	ADP
ejpam-3826	89	29	the	the	DET
ejpam-3826	89	30	mathematical	mathematical	ADJ
ejpam-3826	89	31	formulation	formulation	NOUN
ejpam-3826	89	32	.	.	PUNCT
ejpam-3826	90	1	consider	consider	VERB
ejpam-3826	90	2	the	the	DET
ejpam-3826	90	3	following	follow	VERB
ejpam-3826	90	4	elliptic	elliptic	ADJ
ejpam-3826	90	5	pde	pde	NOUN
ejpam-3826	90	6	problem	problem	NOUN
ejpam-3826	90	7	presented	present	VERB
ejpam-3826	90	8	in	in	ADP
ejpam-3826	90	9	[	[	X
ejpam-3826	90	10	2],[3],[8],[13],[23	2],[3],[8],[13],[23	NOUN
ejpam-3826	90	11	]	]	X
ejpam-3826	90	12	:	:	PUNCT
ejpam-3826	90	13	du(x	du(x	X
ejpam-3826	90	14	)	)	PUNCT
ejpam-3826	91	1	=	=	SYM
ejpam-3826	91	2	f(x	f(x	PROPN
ejpam-3826	91	3	)	)	PUNCT
ejpam-3826	91	4	in	in	ADP
ejpam-3826	91	5	domain	domain	NOUN
ejpam-3826	91	6	ω	ω	NUM
ejpam-3826	91	7	u(x	u(x	PROPN
ejpam-3826	91	8	)	)	PUNCT
ejpam-3826	91	9	=	=	SYM
ejpam-3826	91	10	g(x	g(x	NOUN
ejpam-3826	91	11	)	)	PUNCT
ejpam-3826	91	12	in	in	ADP
ejpam-3826	91	13	domain	domain	NOUN
ejpam-3826	91	14	ω	ω	NOUN
ejpam-3826	91	15	for	for	ADP
ejpam-3826	91	16	scattered	scatter	VERB
ejpam-3826	91	17	data	datum	NOUN
ejpam-3826	91	18	(	(	PUNCT
ejpam-3826	91	19	xi	xi	PROPN
ejpam-3826	91	20	,	,	PUNCT
ejpam-3826	91	21	u(xi	u(xi	PROPN
ejpam-3826	91	22	)	)	PUNCT
ejpam-3826	91	23	)	)	PUNCT
ejpam-3826	92	1	∈	∈	PROPN
ejpam-3826	92	2	rd+1	rd+1	VERB
ejpam-3826	92	3	the	the	DET
ejpam-3826	92	4	approximation	approximation	NOUN
ejpam-3826	92	5	s(x	s(x	PROPN
ejpam-3826	92	6	)	)	PUNCT
ejpam-3826	92	7	for	for	ADP
ejpam-3826	92	8	a	a	DET
ejpam-3826	92	9	real	real	ADJ
ejpam-3826	92	10	function	function	NOUN
ejpam-3826	92	11	u(x	u(x	NOUN
ejpam-3826	92	12	)	)	PUNCT
ejpam-3826	92	13	can	can	AUX
ejpam-3826	92	14	be	be	AUX
ejpam-3826	92	15	constructed	construct	VERB
ejpam-3826	92	16	by	by	ADP
ejpam-3826	92	17	linear	linear	ADJ
ejpam-3826	92	18	combinations	combination	NOUN
ejpam-3826	92	19	of	of	ADP
ejpam-3826	92	20	translations	translation	NOUN
ejpam-3826	92	21	of	of	ADP
ejpam-3826	92	22	one	one	NUM
ejpam-3826	92	23	function	function	NOUN
ejpam-3826	92	24	φ(‖·‖	φ(‖·‖	NOUN
ejpam-3826	92	25	)	)	PUNCT
ejpam-3826	92	26	of	of	ADP
ejpam-3826	92	27	one	one	NUM
ejpam-3826	92	28	variable	variable	NOUN
ejpam-3826	92	29	which	which	PRON
ejpam-3826	92	30	is	be	AUX
ejpam-3826	92	31	centred	centre	VERB
ejpam-3826	92	32	at	at	ADP
ejpam-3826	92	33	{	{	PUNCT
ejpam-3826	92	34	xi}ni=1	xi}ni=1	PROPN
ejpam-3826	92	35	⊆	⊆	NUM
ejpam-3826	92	36	rd	rd	PROPN
ejpam-3826	92	37	,	,	PUNCT
ejpam-3826	92	38	u(x	u(x	PROPN
ejpam-3826	92	39	)	)	PUNCT
ejpam-3826	92	40	≈	≈	PROPN
ejpam-3826	92	41	s(x	s(x	PROPN
ejpam-3826	92	42	)	)	PUNCT
ejpam-3826	93	1	=	=	PUNCT
ejpam-3826	94	1	n∑	n∑	PROPN
ejpam-3826	94	2	i=1	i=1	PROPN
ejpam-3826	94	3	γiφ	γiφ	NOUN
ejpam-3826	94	4	(	(	PUNCT
ejpam-3826	94	5	‖x−	‖x−	PROPN
ejpam-3826	94	6	xi‖	xi‖	PROPN
ejpam-3826	94	7	)	)	PUNCT
ejpam-3826	94	8	(	(	PUNCT
ejpam-3826	94	9	25	25	NUM
ejpam-3826	94	10	)	)	PUNCT
ejpam-3826	94	11	the	the	DET
ejpam-3826	94	12	most	most	ADV
ejpam-3826	94	13	attractive	attractive	ADJ
ejpam-3826	94	14	feature	feature	NOUN
ejpam-3826	94	15	of	of	ADP
ejpam-3826	94	16	the	the	DET
ejpam-3826	94	17	rbf	rbf	PROPN
ejpam-3826	94	18	methods	method	NOUN
ejpam-3826	94	19	is	be	AUX
ejpam-3826	94	20	that	that	SCONJ
ejpam-3826	94	21	the	the	DET
ejpam-3826	94	22	location	location	NOUN
ejpam-3826	94	23	of	of	ADP
ejpam-3826	94	24	centres	centre	NOUN
ejpam-3826	94	25	can	can	AUX
ejpam-3826	94	26	be	be	AUX
ejpam-3826	94	27	chosen	choose	VERB
ejpam-3826	94	28	arbitrarily	arbitrarily	ADV
ejpam-3826	94	29	in	in	ADP
ejpam-3826	94	30	the	the	DET
ejpam-3826	94	31	domain	domain	NOUN
ejpam-3826	94	32	of	of	ADP
ejpam-3826	94	33	interest	interest	NOUN
ejpam-3826	94	34	.	.	PUNCT
ejpam-3826	95	1	to	to	PART
ejpam-3826	95	2	determine	determine	VERB
ejpam-3826	95	3	the	the	DET
ejpam-3826	95	4	unknown	unknown	ADJ
ejpam-3826	95	5	coefficients	coefficient	NOUN
ejpam-3826	95	6	γi	γi	ADP
ejpam-3826	95	7	,	,	PUNCT
ejpam-3826	95	8	i	i	NOUN
ejpam-3826	95	9	=	=	NOUN
ejpam-3826	95	10	1	1	NUM
ejpam-3826	95	11	,	,	PUNCT
ejpam-3826	95	12	2	2	NUM
ejpam-3826	95	13	,	,	PUNCT
ejpam-3826	95	14	3	3	NUM
ejpam-3826	95	15	,	,	PUNCT
ejpam-3826	95	16	.	.	PUNCT
ejpam-3826	96	1	.	.	PUNCT
ejpam-3826	97	1	.	.	PUNCT
ejpam-3826	98	1	.n	.n	PROPN
ejpam-3826	98	2	,	,	PUNCT
ejpam-3826	98	3	we	we	PRON
ejpam-3826	98	4	impose	impose	VERB
ejpam-3826	98	5	the	the	DET
ejpam-3826	98	6	interpolation	interpolation	NOUN
ejpam-3826	98	7	conditions	condition	NOUN
ejpam-3826	98	8	on	on	ADP
ejpam-3826	98	9	s(x	s(x	NOUN
ejpam-3826	98	10	)	)	PUNCT
ejpam-3826	98	11	.	.	PUNCT
ejpam-3826	99	1	this	this	PRON
ejpam-3826	99	2	gives	give	VERB
ejpam-3826	99	3	the	the	DET
ejpam-3826	99	4	n	n	NUM
ejpam-3826	99	5	×n	×n	PROPN
ejpam-3826	99	6	linear	linear	PROPN
ejpam-3826	99	7	system	system	NOUN
ejpam-3826	99	8	u	u	PROPN
ejpam-3826	99	9	(	(	PUNCT
ejpam-3826	99	10	xj	xj	PROPN
ejpam-3826	99	11	)	)	PUNCT
ejpam-3826	100	1	=	=	SYM
ejpam-3826	101	1	n∑	n∑	PROPN
ejpam-3826	101	2	i=1	i=1	PROPN
ejpam-3826	101	3	γiφ	γiφ	NOUN
ejpam-3826	101	4	(	(	PUNCT
ejpam-3826	101	5	‖xj	‖xj	PROPN
ejpam-3826	101	6	−	−	PROPN
ejpam-3826	101	7	xi‖	xi‖	PROPN
ejpam-3826	101	8	)	)	PUNCT
ejpam-3826	101	9	(	(	PUNCT
ejpam-3826	101	10	26	26	NUM
ejpam-3826	101	11	)	)	PUNCT
ejpam-3826	101	12	where	where	SCONJ
ejpam-3826	101	13	the	the	DET
ejpam-3826	101	14	γi‘s	γi‘	NOUN
ejpam-3826	101	15	are	be	AUX
ejpam-3826	101	16	unknown	unknown	ADJ
ejpam-3826	101	17	coefficients	coefficient	NOUN
ejpam-3826	101	18	to	to	PART
ejpam-3826	101	19	be	be	AUX
ejpam-3826	101	20	determined	determine	VERB
ejpam-3826	101	21	,	,	PUNCT
ejpam-3826	101	22	n	n	PRON
ejpam-3826	101	23	is	be	AUX
ejpam-3826	101	24	the	the	DET
ejpam-3826	101	25	total	total	ADJ
ejpam-3826	101	26	number	number	NOUN
ejpam-3826	101	27	of	of	ADP
ejpam-3826	101	28	nodes	node	NOUN
ejpam-3826	101	29	for	for	ADP
ejpam-3826	101	30	which	which	PRON
ejpam-3826	101	31	their	their	PRON
ejpam-3826	101	32	nl	nl	NOUN
ejpam-3826	101	33	point	point	NOUN
ejpam-3826	101	34	are	be	AUX
ejpam-3826	101	35	the	the	DET
ejpam-3826	101	36	interior	interior	ADJ
ejpam-3826	101	37	points	point	NOUN
ejpam-3826	101	38	and	and	CCONJ
ejpam-3826	101	39	φ	φ	PROPN
ejpam-3826	101	40	is	be	AUX
ejpam-3826	101	41	the	the	DET
ejpam-3826	101	42	radial	radial	ADJ
ejpam-3826	101	43	basis	basis	NOUN
ejpam-3826	101	44	function	function	NOUN
ejpam-3826	101	45	approximation	approximation	NOUN
ejpam-3826	101	46	of	of	ADP
ejpam-3826	101	47	the	the	DET
ejpam-3826	101	48	function	function	NOUN
ejpam-3826	101	49	u	u	NOUN
ejpam-3826	102	1	[	[	X
ejpam-3826	102	2	2],[11],[24	2],[11],[24	NUM
ejpam-3826	102	3	]	]	SYM
ejpam-3826	102	4	.	.	PUNCT
ejpam-3826	103	1	collocation	collocation	NOUN
ejpam-3826	103	2	with	with	ADP
ejpam-3826	103	3	the	the	DET
ejpam-3826	103	4	pde	pde	NOUN
ejpam-3826	103	5	at	at	ADP
ejpam-3826	103	6	the	the	DET
ejpam-3826	103	7	inner	inner	ADJ
ejpam-3826	103	8	points	point	NOUN
ejpam-3826	103	9	and	and	CCONJ
ejpam-3826	103	10	boundary	boundary	ADJ
ejpam-3826	103	11	conditions	condition	NOUN
ejpam-3826	103	12	,	,	PUNCT
ejpam-3826	103	13	there	there	PRON
ejpam-3826	103	14	are	be	VERB
ejpam-3826	103	15	the	the	DET
ejpam-3826	103	16	following	follow	VERB
ejpam-3826	103	17	observations	observation	NOUN
ejpam-3826	103	18	at	at	ADP
ejpam-3826	103	19	the	the	DET
ejpam-3826	103	20	boundary	boundary	ADJ
ejpam-3826	103	21	points	point	NOUN
ejpam-3826	103	22	:	:	PUNCT
ejpam-3826	104	1	{	{	PUNCT
ejpam-3826	104	2	f	f	X
ejpam-3826	104	3	(	(	PUNCT
ejpam-3826	104	4	xi	xi	PROPN
ejpam-3826	104	5	)	)	PUNCT
ejpam-3826	104	6	=	=	SYM
ejpam-3826	104	7	du	du	X
ejpam-3826	104	8	(	(	PUNCT
ejpam-3826	104	9	xj	xj	PROPN
ejpam-3826	104	10	)	)	PUNCT
ejpam-3826	105	1	≈	≈	PROPN
ejpam-3826	105	2	∑n	∑n	PROPN
ejpam-3826	105	3	i=1	i=1	PROPN
ejpam-3826	105	4	γidφ	γidφ	ADJ
ejpam-3826	105	5	(	(	PUNCT
ejpam-3826	105	6	‖xj	‖xj	PROPN
ejpam-3826	105	7	−	−	PROPN
ejpam-3826	105	8	xi‖	xi‖	PROPN
ejpam-3826	105	9	)	)	PUNCT
ejpam-3826	105	10	,	,	PUNCT
ejpam-3826	105	11	∀j	∀j	NOUN
ejpam-3826	105	12	=	=	SYM
ejpam-3826	105	13	1	1	NUM
ejpam-3826	105	14	,	,	PUNCT
ejpam-3826	105	15	2	2	NUM
ejpam-3826	105	16	,	,	PUNCT
ejpam-3826	105	17	.	.	PUNCT
ejpam-3826	105	18	.	.	PUNCT
ejpam-3826	105	19	.	.	PUNCT
ejpam-3826	105	20	.	.	PUNCT
ejpam-3826	105	21	.	.	PUNCT
ejpam-3826	106	1	.	.	PUNCT
ejpam-3826	107	1	,	,	PUNCT
ejpam-3826	107	2	n	n	PRON
ejpam-3826	107	3	g	g	NOUN
ejpam-3826	107	4	(	(	PUNCT
ejpam-3826	107	5	xi	xi	PROPN
ejpam-3826	107	6	)	)	PUNCT
ejpam-3826	107	7	=	=	SYM
ejpam-3826	107	8	u	u	PROPN
ejpam-3826	107	9	(	(	PUNCT
ejpam-3826	107	10	xj	xj	PROPN
ejpam-3826	107	11	)	)	PUNCT
ejpam-3826	108	1	≈	≈	PROPN
ejpam-3826	108	2	∑n	∑n	PROPN
ejpam-3826	108	3	i=1	i=1	PROPN
ejpam-3826	108	4	γiφ	γiφ	NOUN
ejpam-3826	108	5	(	(	PUNCT
ejpam-3826	108	6	‖xj	‖xj	PROPN
ejpam-3826	108	7	−	−	PROPN
ejpam-3826	108	8	xi‖	xi‖	PROPN
ejpam-3826	108	9	)	)	PUNCT
ejpam-3826	108	10	,	,	PUNCT
ejpam-3826	108	11	∀j	∀j	PROPN
ejpam-3826	108	12	=	=	SYM
ejpam-3826	108	13	nl+1	nl+1	PROPN
ejpam-3826	108	14	,	,	PUNCT
ejpam-3826	108	15	.	.	PUNCT
ejpam-3826	108	16	.	.	PUNCT
ejpam-3826	108	17	.	.	PUNCT
ejpam-3826	108	18	.	.	PUNCT
ejpam-3826	108	19	.	.	PUNCT
ejpam-3826	108	20	.	.	PUNCT
ejpam-3826	108	21	.	.	PUNCT
ejpam-3826	108	22	.	.	PUNCT
ejpam-3826	109	1	.	.	PUNCT
ejpam-3826	110	1	,	,	PUNCT
ejpam-3826	110	2	n	n	X
ejpam-3826	110	3	(	(	PUNCT
ejpam-3826	110	4	27	27	NUM
ejpam-3826	110	5	)	)	PUNCT
ejpam-3826	110	6	the	the	DET
ejpam-3826	110	7	coefficients	coefficient	NOUN
ejpam-3826	110	8	{	{	PUNCT
ejpam-3826	110	9	γj}nj=1	γj}nj=1	PROPN
ejpam-3826	110	10	can	can	AUX
ejpam-3826	110	11	be	be	AUX
ejpam-3826	110	12	solved	solve	VERB
ejpam-3826	110	13	from	from	ADP
ejpam-3826	110	14	the	the	DET
ejpam-3826	110	15	corresponding	corresponding	ADJ
ejpam-3826	110	16	system	system	NOUN
ejpam-3826	110	17	of	of	ADP
ejpam-3826	110	18	equations	equation	NOUN
ejpam-3826	110	19	with	with	ADP
ejpam-3826	110	20	the	the	DET
ejpam-3826	110	21	coefficient	coefficient	NOUN
ejpam-3826	110	22	matrix	matrix	NOUN
ejpam-3826	110	23	structured	structure	VERB
ejpam-3826	110	24	as	as	ADP
ejpam-3826	110	25	:	:	PUNCT
ejpam-3826	110	26	[	[	PUNCT
ejpam-3826	110	27	f	f	X
ejpam-3826	110	28	g	g	NOUN
ejpam-3826	110	29	]	]	X
ejpam-3826	111	1	=	=	PUNCT
ejpam-3826	111	2	[	[	PUNCT
ejpam-3826	111	3	dφ	dφ	ADP
ejpam-3826	111	4	φ	φ	X
ejpam-3826	111	5	]	]	X
ejpam-3826	112	1	[	[	X
ejpam-3826	112	2	γ	γ	X
ejpam-3826	112	3	]	]	X
ejpam-3826	112	4	(	(	PUNCT
ejpam-3826	112	5	28	28	NUM
ejpam-3826	112	6	)	)	PUNCT
ejpam-3826	112	7	m.	m.	NOUN
ejpam-3826	112	8	zannon	zannon	NOUN
ejpam-3826	112	9	,	,	PUNCT
ejpam-3826	112	10	a.	a.	PROPN
ejpam-3826	112	11	abu	abu	PROPN
ejpam-3826	112	12	-	-	PUNCT
ejpam-3826	112	13	rqayiq	rqayiq	PROPN
ejpam-3826	112	14	,	,	PUNCT
ejpam-3826	112	15	a.	a.	PROPN
ejpam-3826	112	16	al	al	PROPN
ejpam-3826	112	17	-	-	PUNCT
ejpam-3826	112	18	bdour	bdour	PROPN
ejpam-3826	112	19	/	/	SYM
ejpam-3826	112	20	eur	eur	PROPN
ejpam-3826	112	21	.	.	PUNCT
ejpam-3826	113	1	j.	j.	PROPN
ejpam-3826	113	2	pure	pure	PROPN
ejpam-3826	113	3	appl	appl	PROPN
ejpam-3826	113	4	.	.	PROPN
ejpam-3826	113	5	math	math	PROPN
ejpam-3826	113	6	,	,	PUNCT
ejpam-3826	113	7	13	13	NUM
ejpam-3826	113	8	(	(	PUNCT
ejpam-3826	113	9	4	4	NUM
ejpam-3826	113	10	)	)	PUNCT
ejpam-3826	113	11	(	(	PUNCT
ejpam-3826	113	12	2020	2020	NUM
ejpam-3826	113	13	)	)	PUNCT
ejpam-3826	113	14	,	,	PUNCT
ejpam-3826	113	15	766	766	NUM
ejpam-3826	113	16	-	-	SYM
ejpam-3826	113	17	778	778	NUM
ejpam-3826	113	18	772	772	NUM
ejpam-3826	113	19	for	for	ADP
ejpam-3826	113	20	free	free	ADJ
ejpam-3826	113	21	vibration	vibration	NOUN
ejpam-3826	113	22	problems	problem	NOUN
ejpam-3826	113	23	,	,	PUNCT
ejpam-3826	113	24	a	a	DET
ejpam-3826	113	25	harmonic	harmonic	ADJ
ejpam-3826	113	26	solution	solution	NOUN
ejpam-3826	113	27	is	be	AUX
ejpam-3826	113	28	assumed	assume	VERB
ejpam-3826	113	29	for	for	ADP
ejpam-3826	113	30	the	the	DET
ejpam-3826	113	31	displacements	displacement	NOUN
ejpam-3826	113	32	and	and	CCONJ
ejpam-3826	113	33	it	it	PRON
ejpam-3826	113	34	is	be	AUX
ejpam-3826	113	35	given	give	VERB
ejpam-3826	113	36	in	in	ADP
ejpam-3826	113	37	[	[	X
ejpam-3826	113	38	2],[9],[24	2],[9],[24	NOUN
ejpam-3826	113	39	]	]	PUNCT
ejpam-3826	113	40	.	.	PUNCT
ejpam-3826	114	1	substituting	substitute	VERB
ejpam-3826	114	2	the	the	DET
ejpam-3826	114	3	harmonic	harmonic	ADJ
ejpam-3826	114	4	expansion	expansion	NOUN
ejpam-3826	114	5	into	into	ADP
ejpam-3826	114	6	equations	equation	NOUN
ejpam-3826	114	7	(	(	PUNCT
ejpam-3826	114	8	28	28	NUM
ejpam-3826	114	9	)	)	PUNCT
ejpam-3826	114	10	,	,	PUNCT
ejpam-3826	114	11	which	which	PRON
ejpam-3826	114	12	can	can	AUX
ejpam-3826	114	13	be	be	AUX
ejpam-3826	114	14	written	write	VERB
ejpam-3826	114	15	as	as	ADP
ejpam-3826	114	16	an	an	DET
ejpam-3826	114	17	eigenvalue	eigenvalue	NOUN
ejpam-3826	114	18	problem	problem	NOUN
ejpam-3826	114	19	.	.	PUNCT
ejpam-3826	115	1	therefore	therefore	ADV
ejpam-3826	115	2	,	,	PUNCT
ejpam-3826	115	3	the	the	DET
ejpam-3826	115	4	resulting	result	VERB
ejpam-3826	115	5	equations	equation	NOUN
ejpam-3826	115	6	can	can	AUX
ejpam-3826	115	7	be	be	AUX
ejpam-3826	115	8	written	write	VERB
ejpam-3826	115	9	in	in	ADP
ejpam-3826	115	10	the	the	DET
ejpam-3826	115	11	following	follow	VERB
ejpam-3826	115	12	matrix	matrix	NOUN
ejpam-3826	115	13	form	form	NOUN
ejpam-3826	115	14	:	:	PUNCT
ejpam-3826	115	15	{	{	PUNCT
ejpam-3826	116	1	[	[	X
ejpam-3826	116	2	d]−	d]−	ADV
ejpam-3826	116	3	λ[ζ]}{[∆	λ[ζ]}{[∆	ADJ
ejpam-3826	116	4	]	]	X
ejpam-3826	116	5	}	}	PUNCT
ejpam-3826	116	6	=	=	SYM
ejpam-3826	116	7	0	0	NUM
ejpam-3826	116	8	(	(	PUNCT
ejpam-3826	116	9	29	29	NUM
ejpam-3826	116	10	)	)	PUNCT
ejpam-3826	116	11	where	where	SCONJ
ejpam-3826	116	12	λ	λ	PROPN
ejpam-3826	116	13	=	=	SYM
ejpam-3826	116	14	ω2	ω2	PROPN
ejpam-3826	116	15	,	,	PUNCT
ejpam-3826	116	16	ω	ω	PROPN
ejpam-3826	116	17	is	be	AUX
ejpam-3826	116	18	the	the	DET
ejpam-3826	116	19	natural	natural	ADJ
ejpam-3826	116	20	frequency	frequency	NOUN
ejpam-3826	116	21	,	,	PUNCT
ejpam-3826	116	22	{	{	PUNCT
ejpam-3826	116	23	∆	∆	X
ejpam-3826	116	24	}	}	PUNCT
ejpam-3826	116	25	is	be	AUX
ejpam-3826	116	26	the	the	DET
ejpam-3826	116	27	displacement	displacement	ADJ
ejpam-3826	116	28	vector	vector	NOUN
ejpam-3826	116	29	and	and	CCONJ
ejpam-3826	116	30	{	{	PUNCT
ejpam-3826	116	31	ζ	ζ	NOUN
ejpam-3826	116	32	}	}	PUNCT
ejpam-3826	116	33	collects	collect	VERB
ejpam-3826	116	34	all	all	DET
ejpam-3826	116	35	terms	term	NOUN
ejpam-3826	116	36	related	relate	VERB
ejpam-3826	116	37	to	to	ADP
ejpam-3826	116	38	the	the	DET
ejpam-3826	116	39	inertial	inertial	ADJ
ejpam-3826	116	40	terms	term	NOUN
ejpam-3826	116	41	[	[	X
ejpam-3826	116	42	26],[29	26],[29	X
ejpam-3826	116	43	]	]	X
ejpam-3826	116	44	.	.	PUNCT
ejpam-3826	117	1	2.3	2.3	NUM
ejpam-3826	117	2	.	.	PUNCT
ejpam-3826	118	1	numerical	numerical	ADJ
ejpam-3826	118	2	results	result	NOUN
ejpam-3826	118	3	in	in	ADP
ejpam-3826	118	4	this	this	DET
ejpam-3826	118	5	section	section	NOUN
ejpam-3826	118	6	,	,	PUNCT
ejpam-3826	118	7	both	both	DET
ejpam-3826	118	8	theories	theory	NOUN
ejpam-3826	118	9	(	(	PUNCT
ejpam-3826	118	10	the	the	DET
ejpam-3826	118	11	third	third	ADJ
ejpam-3826	118	12	-	-	PUNCT
ejpam-3826	118	13	order	order	NOUN
ejpam-3826	118	14	shear	shear	NOUN
ejpam-3826	118	15	deformation	deformation	NOUN
ejpam-3826	118	16	theory	theory	NOUN
ejpam-3826	118	17	and	and	CCONJ
ejpam-3826	118	18	the	the	DET
ejpam-3826	118	19	radial	radial	ADJ
ejpam-3826	118	20	base	base	NOUN
ejpam-3826	118	21	functions	function	NOUN
ejpam-3826	118	22	collocation	collocation	NOUN
ejpam-3826	118	23	for	for	ADP
ejpam-3826	118	24	the	the	DET
ejpam-3826	118	25	free	free	ADJ
ejpam-3826	118	26	vibration	vibration	NOUN
ejpam-3826	118	27	study	study	NOUN
ejpam-3826	118	28	of	of	ADP
ejpam-3826	118	29	functionally	functionally	ADV
ejpam-3826	118	30	graded	grade	VERB
ejpam-3826	118	31	shell	shell	NOUN
ejpam-3826	118	32	panels	panel	NOUN
ejpam-3826	118	33	)	)	PUNCT
ejpam-3826	118	34	are	be	AUX
ejpam-3826	118	35	combined	combine	VERB
ejpam-3826	118	36	[	[	X
ejpam-3826	118	37	1],[19],[20	1],[19],[20	NUM
ejpam-3826	118	38	]	]	PUNCT
ejpam-3826	118	39	.	.	PUNCT
ejpam-3826	119	1	examples	example	NOUN
ejpam-3826	119	2	below	below	ADP
ejpam-3826	119	3	show	show	VERB
ejpam-3826	119	4	spherical	spherical	ADJ
ejpam-3826	119	5	shell	shell	NOUN
ejpam-3826	119	6	panels	panel	NOUN
ejpam-3826	119	7	with	with	ADP
ejpam-3826	119	8	all	all	DET
ejpam-3826	119	9	edges	edge	NOUN
ejpam-3826	119	10	clamped	clamp	VERB
ejpam-3826	119	11	or	or	CCONJ
ejpam-3826	119	12	simply	simply	ADV
ejpam-3826	119	13	supported	support	VERB
ejpam-3826	119	14	.	.	PUNCT
ejpam-3826	120	1	particular	particular	ADJ
ejpam-3826	120	2	cases	case	NOUN
ejpam-3826	120	3	are	be	AUX
ejpam-3826	120	4	also	also	ADV
ejpam-3826	120	5	considered	consider	VERB
ejpam-3826	120	6	,	,	PUNCT
ejpam-3826	120	7	namely	namely	ADV
ejpam-3826	120	8	isotropic	isotropic	ADJ
ejpam-3826	120	9	materials	material	NOUN
ejpam-3826	120	10	(	(	PUNCT
ejpam-3826	120	11	fully	fully	ADV
ejpam-3826	120	12	ceramic	ceramic	ADJ
ejpam-3826	120	13	and	and	CCONJ
ejpam-3826	120	14	metal	metal	NOUN
ejpam-3826	120	15	)	)	PUNCT
ejpam-3826	121	1	[	[	X
ejpam-3826	121	2	24],[25],[26],[27],[28],[29	24],[25],[26],[27],[28],[29	NOUN
ejpam-3826	121	3	]	]	PUNCT
ejpam-3826	121	4	.	.	PUNCT
ejpam-3826	122	1	comparing	compare	VERB
ejpam-3826	122	2	the	the	DET
ejpam-3826	122	3	results	result	NOUN
ejpam-3826	122	4	with	with	ADP
ejpam-3826	122	5	pradyumna	pradyumna	NOUN
ejpam-3826	122	6	and	and	CCONJ
ejpam-3826	122	7	bandyopadhyay	bandyopadhyay	NOUN
ejpam-3826	122	8	[	[	X
ejpam-3826	122	9	11],[16	11],[16	X
ejpam-3826	122	10	]	]	X
ejpam-3826	122	11	there	there	PRON
ejpam-3826	122	12	is	be	VERB
ejpam-3826	122	13	a	a	DET
ejpam-3826	122	14	marked	mark	VERB
ejpam-3826	122	15	improvement	improvement	NOUN
ejpam-3826	122	16	in	in	ADP
ejpam-3826	122	17	hsdt	hsdt	NOUN
ejpam-3826	122	18	and	and	CCONJ
ejpam-3826	122	19	finite	finite	ADJ
ejpam-3826	122	20	elements	element	NOUN
ejpam-3826	122	21	formulation	formulation	NOUN
ejpam-3826	122	22	.	.	PUNCT
ejpam-3826	123	1	in	in	ADP
ejpam-3826	123	2	the	the	DET
ejpam-3826	123	3	following	follow	VERB
ejpam-3826	123	4	example	example	NOUN
ejpam-3826	123	5	,	,	PUNCT
ejpam-3826	123	6	consideration	consideration	NOUN
ejpam-3826	123	7	is	be	AUX
ejpam-3826	123	8	given	give	VERB
ejpam-3826	123	9	to	to	ADP
ejpam-3826	123	10	the	the	DET
ejpam-3826	123	11	free	free	ADJ
ejpam-3826	123	12	vibration	vibration	NOUN
ejpam-3826	123	13	of	of	ADP
ejpam-3826	123	14	simply	simply	ADV
ejpam-3826	123	15	supported	support	VERB
ejpam-3826	123	16	and	and	CCONJ
ejpam-3826	123	17	clamped	clamp	VERB
ejpam-3826	123	18	fg	fg	PROPN
ejpam-3826	123	19	spherical	spherical	ADJ
ejpam-3826	123	20	shell	shell	NOUN
ejpam-3826	123	21	panels	panel	NOUN
ejpam-3826	123	22	.	.	PUNCT
ejpam-3826	124	1	the	the	DET
ejpam-3826	124	2	fundamental	fundamental	ADJ
ejpam-3826	124	3	frequencies	frequency	NOUN
ejpam-3826	124	4	of	of	ADP
ejpam-3826	124	5	a	a	DET
ejpam-3826	124	6	simply	simply	ADV
ejpam-3826	124	7	supported	support	VERB
ejpam-3826	124	8	square	square	ADJ
ejpam-3826	124	9	and	and	CCONJ
ejpam-3826	124	10	clamped	clamp	VERB
ejpam-3826	124	11	fg	fg	PROPN
ejpam-3826	124	12	spherical	spherical	ADJ
ejpam-3826	124	13	shell	shell	NOUN
ejpam-3826	124	14	panels	panel	NOUN
ejpam-3826	124	15	composed	compose	VERB
ejpam-3826	124	16	of	of	ADP
ejpam-3826	124	17	aluminium	aluminium	NOUN
ejpam-3826	124	18	and	and	CCONJ
ejpam-3826	124	19	alumina	alumina	NOUN
ejpam-3826	124	20	,	,	PUNCT
ejpam-3826	124	21	with	with	ADP
ejpam-3826	124	22	the	the	DET
ejpam-3826	124	23	side	side	NOUN
ejpam-3826	124	24	-	-	PUNCT
ejpam-3826	124	25	to	to	ADP
ejpam-3826	124	26	-	-	PUNCT
ejpam-3826	124	27	thickness	thickness	NOUN
ejpam-3826	124	28	ratio	ratio	NOUN
ejpam-3826	124	29	a	a	DET
ejpam-3826	124	30	/	/	SYM
ejpam-3826	124	31	h	h	NOUN
ejpam-3826	124	32	=	=	SYM
ejpam-3826	124	33	10	10	NUM
ejpam-3826	124	34	are	be	AUX
ejpam-3826	124	35	presented	present	VERB
ejpam-3826	124	36	in	in	ADP
ejpam-3826	124	37	tables	table	NOUN
ejpam-3826	124	38	1	1	NUM
ejpam-3826	124	39	,	,	PUNCT
ejpam-3826	124	40	2	2	NUM
ejpam-3826	124	41	,	,	PUNCT
ejpam-3826	124	42	3	3	NUM
ejpam-3826	124	43	,	,	PUNCT
ejpam-3826	124	44	4	4	NUM
ejpam-3826	124	45	,	,	PUNCT
ejpam-3826	124	46	5	5	NUM
ejpam-3826	124	47	and	and	CCONJ
ejpam-3826	124	48	6	6	NUM
ejpam-3826	124	49	considering	consider	VERB
ejpam-3826	124	50	various	various	ADJ
ejpam-3826	124	51	side	side	NOUN
ejpam-3826	124	52	-	-	PUNCT
ejpam-3826	124	53	to	to	ADP
ejpam-3826	124	54	-	-	PUNCT
ejpam-3826	124	55	radius	radius	NOUN
ejpam-3826	124	56	ratios	ratio	NOUN
ejpam-3826	124	57	a	a	DET
ejpam-3826	124	58	/	/	SYM
ejpam-3826	124	59	r	r	NOUN
ejpam-3826	124	60	as	as	ADV
ejpam-3826	124	61	well	well	ADV
ejpam-3826	124	62	as	as	ADP
ejpam-3826	124	63	power	power	NOUN
ejpam-3826	124	64	-	-	PUNCT
ejpam-3826	124	65	law	law	NOUN
ejpam-3826	124	66	exponent	exponent	NOUN
ejpam-3826	124	67	p.	p.	NOUN
ejpam-3826	125	1	this	this	DET
ejpam-3826	125	2	technique	technique	NOUN
ejpam-3826	125	3	possess	possess	VERB
ejpam-3826	125	4	similar	similar	ADJ
ejpam-3826	125	5	properties	property	NOUN
ejpam-3826	125	6	as	as	ADP
ejpam-3826	125	7	:	:	PUNCT
ejpam-3826	125	8	aluminumi	aluminumi	NOUN
ejpam-3826	125	9	:	:	PUNCT
ejpam-3826	125	10	em	em	PRON
ejpam-3826	125	11	=	=	SYM
ejpam-3826	125	12	70gpa	70gpa	PROPN
ejpam-3826	125	13	,	,	PUNCT
ejpam-3826	125	14	vm	vm	PROPN
ejpam-3826	125	15	=	=	NOUN
ejpam-3826	125	16	0.3	0.3	NUM
ejpam-3826	125	17	,	,	PUNCT
ejpam-3826	125	18	ρm	ρm	PROPN
ejpam-3826	125	19	=	=	SYM
ejpam-3826	125	20	270kg	270kg	PROPN
ejpam-3826	125	21	/	/	SYM
ejpam-3826	125	22	m3	m3	PROPN
ejpam-3826	125	23	alumina	alumina	NOUN
ejpam-3826	125	24	:	:	PUNCT
ejpam-3826	125	25	ec	ec	PROPN
ejpam-3826	125	26	=	=	SYM
ejpam-3826	125	27	380gpa	380gpa	PROPN
ejpam-3826	125	28	,	,	PUNCT
ejpam-3826	125	29	vc	vc	PROPN
ejpam-3826	125	30	=	=	NOUN
ejpam-3826	125	31	0.3	0.3	NUM
ejpam-3826	125	32	,	,	PUNCT
ejpam-3826	125	33	ρc	ρc	VERB
ejpam-3826	125	34	=	=	SYM
ejpam-3826	125	35	3000kg	3000kg	ADJ
ejpam-3826	125	36	/	/	SYM
ejpam-3826	125	37	m3	m3	PROPN
ejpam-3826	125	38	m.	m.	NOUN
ejpam-3826	125	39	zannon	zannon	PROPN
ejpam-3826	125	40	,	,	PUNCT
ejpam-3826	125	41	a.	a.	PROPN
ejpam-3826	125	42	abu	abu	PROPN
ejpam-3826	125	43	-	-	PUNCT
ejpam-3826	125	44	rqayiq	rqayiq	PROPN
ejpam-3826	125	45	,	,	PUNCT
ejpam-3826	125	46	a.	a.	PROPN
ejpam-3826	125	47	al	al	PROPN
ejpam-3826	125	48	-	-	PUNCT
ejpam-3826	125	49	bdour	bdour	PROPN
ejpam-3826	125	50	/	/	SYM
ejpam-3826	125	51	eur	eur	PROPN
ejpam-3826	125	52	.	.	PUNCT
ejpam-3826	126	1	j.	j.	PROPN
ejpam-3826	126	2	pure	pure	PROPN
ejpam-3826	126	3	appl	appl	PROPN
ejpam-3826	126	4	.	.	PROPN
ejpam-3826	126	5	math	math	PROPN
ejpam-3826	126	6	,	,	PUNCT
ejpam-3826	126	7	13	13	NUM
ejpam-3826	126	8	(	(	PUNCT
ejpam-3826	126	9	4	4	NUM
ejpam-3826	126	10	)	)	PUNCT
ejpam-3826	126	11	(	(	PUNCT
ejpam-3826	126	12	2020	2020	NUM
ejpam-3826	126	13	)	)	PUNCT
ejpam-3826	126	14	,	,	PUNCT
ejpam-3826	126	15	766	766	NUM
ejpam-3826	126	16	-	-	SYM
ejpam-3826	126	17	778	778	NUM
ejpam-3826	126	18	773	773	NUM
ejpam-3826	126	19	figure	figure	NOUN
ejpam-3826	126	20	1	1	NUM
ejpam-3826	126	21	:	:	PUNCT
ejpam-3826	126	22	a	a	DET
ejpam-3826	126	23	functionally	functionally	ADV
ejpam-3826	126	24	graded	grade	VERB
ejpam-3826	126	25	shell	shell	NOUN
ejpam-3826	126	26	[	[	X
ejpam-3826	126	27	15	15	NUM
ejpam-3826	126	28	]	]	PUNCT
ejpam-3826	126	29	figure	figure	NOUN
ejpam-3826	126	30	2	2	NUM
ejpam-3826	126	31	:	:	PUNCT
ejpam-3826	126	32	geometry	geometry	NOUN
ejpam-3826	126	33	and	and	CCONJ
ejpam-3826	126	34	notations	notation	NOUN
ejpam-3826	126	35	for	for	ADP
ejpam-3826	126	36	a	a	DET
ejpam-3826	126	37	multilayered	multilayered	ADJ
ejpam-3826	126	38	shell	shell	NOUN
ejpam-3826	126	39	[	[	X
ejpam-3826	126	40	12	12	NUM
ejpam-3826	126	41	]	]	PUNCT
ejpam-3826	126	42	table	table	NOUN
ejpam-3826	126	43	1	1	NUM
ejpam-3826	126	44	:	:	PUNCT
ejpam-3826	126	45	fundamental	fundamental	ADJ
ejpam-3826	126	46	frequencies	frequency	NOUN
ejpam-3826	126	47	of	of	ADP
ejpam-3826	126	48	cccc	cccc	PROPN
ejpam-3826	126	49	square	square	ADJ
ejpam-3826	126	50	spherical	spherical	ADJ
ejpam-3826	126	51	shell	shell	NOUN
ejpam-3826	126	52	panels	panel	NOUN
ejpam-3826	126	53	collected	collect	VERB
ejpam-3826	126	54	of	of	ADP
ejpam-3826	126	55	aluminum	aluminum	NOUN
ejpam-3826	126	56	and	and	CCONJ
ejpam-3826	126	57	alumina	alumina	NOUN
ejpam-3826	126	58	,	,	PUNCT
ejpam-3826	126	59	r	r	NOUN
ejpam-3826	126	60	/	/	SYM
ejpam-3826	126	61	a	a	PRON
ejpam-3826	126	62	=	=	SYM
ejpam-3826	126	63	0.5	0.5	NUM
ejpam-3826	126	64	and	and	CCONJ
ejpam-3826	126	65	a	a	DET
ejpam-3826	126	66	/	/	SYM
ejpam-3826	126	67	h	h	NOUN
ejpam-3826	126	68	=	=	NOUN
ejpam-3826	126	69	10	10	NUM
ejpam-3826	126	70	,	,	PUNCT
ejpam-3826	126	71	for	for	ADP
ejpam-3826	126	72	various	various	ADJ
ejpam-3826	126	73	p	p	PROPN
ejpam-3826	126	74	p	p	ADJ
ejpam-3826	126	75	ref	ref	NOUN
ejpam-3826	127	1	[	[	X
ejpam-3826	127	2	3	3	NUM
ejpam-3826	127	3	]	]	X
ejpam-3826	127	4	present	present	ADJ
ejpam-3826	127	5	ref	ref	NOUN
ejpam-3826	128	1	[	[	X
ejpam-3826	128	2	16	16	NUM
ejpam-3826	128	3	]	]	X
ejpam-3826	128	4	εzz	εzz	PROPN
ejpam-3826	128	5	6=	6=	NUM
ejpam-3826	128	6	0	0	NUM
ejpam-3826	128	7	0	0	NUM
ejpam-3826	128	8	173.9595	173.9595	NUM
ejpam-3826	128	9	176.8240	176.8240	NUM
ejpam-3826	128	10	176.8356	176.8356	NUM
ejpam-3826	128	11	0.2	0.2	NUM
ejpam-3826	128	12	161.3704	161.3704	NUM
ejpam-3826	128	13	162.2278	162.2278	NUM
ejpam-3826	128	14	163.0460	163.0460	NUM
ejpam-3826	128	15	0.5	0.5	NUM
ejpam-3826	128	16	147.4598	147.4598	NUM
ejpam-3826	128	17	148.2765	148.2765	NUM
ejpam-3826	128	18	149.0095	149.0095	NUM
ejpam-3826	128	19	1	1	NUM
ejpam-3826	128	20	132.3396	132.3396	NUM
ejpam-3826	128	21	133.1074	133.1074	NUM
ejpam-3826	128	22	133.7710	133.7710	NUM
ejpam-3826	128	23	2	2	NUM
ejpam-3826	128	24	116.4386	116.4386	NUM
ejpam-3826	128	25	117.2276	117.2276	NUM
ejpam-3826	128	26	117.9317	117.9317	NUM
ejpam-3826	128	27	∞	∞	NUM
ejpam-3826	128	28	80.7722	80.7722	NUM
ejpam-3826	128	29	80.3306	80.3306	NUM
ejpam-3826	128	30	79.8994	79.8994	NUM
ejpam-3826	128	31	m.	m.	NOUN
ejpam-3826	128	32	zannon	zannon	NOUN
ejpam-3826	128	33	,	,	PUNCT
ejpam-3826	128	34	a.	a.	PROPN
ejpam-3826	128	35	abu	abu	PROPN
ejpam-3826	128	36	-	-	PUNCT
ejpam-3826	128	37	rqayiq	rqayiq	PROPN
ejpam-3826	128	38	,	,	PUNCT
ejpam-3826	128	39	a.	a.	PROPN
ejpam-3826	128	40	al	al	PROPN
ejpam-3826	128	41	-	-	PUNCT
ejpam-3826	128	42	bdour	bdour	PROPN
ejpam-3826	128	43	/	/	SYM
ejpam-3826	128	44	eur	eur	PROPN
ejpam-3826	128	45	.	.	PUNCT
ejpam-3826	129	1	j.	j.	PROPN
ejpam-3826	129	2	pure	pure	PROPN
ejpam-3826	129	3	appl	appl	PROPN
ejpam-3826	129	4	.	.	PROPN
ejpam-3826	129	5	math	math	PROPN
ejpam-3826	129	6	,	,	PUNCT
ejpam-3826	129	7	13	13	NUM
ejpam-3826	129	8	(	(	PUNCT
ejpam-3826	129	9	4	4	NUM
ejpam-3826	129	10	)	)	PUNCT
ejpam-3826	129	11	(	(	PUNCT
ejpam-3826	129	12	2020	2020	NUM
ejpam-3826	129	13	)	)	PUNCT
ejpam-3826	129	14	,	,	PUNCT
ejpam-3826	129	15	766	766	NUM
ejpam-3826	129	16	-	-	SYM
ejpam-3826	129	17	778	778	NUM
ejpam-3826	129	18	774	774	NUM
ejpam-3826	129	19	table	table	NOUN
ejpam-3826	129	20	2	2	NUM
ejpam-3826	129	21	:	:	PUNCT
ejpam-3826	129	22	fundamental	fundamental	ADJ
ejpam-3826	129	23	frequencies	frequency	NOUN
ejpam-3826	129	24	of	of	ADP
ejpam-3826	129	25	cccc	cccc	PROPN
ejpam-3826	129	26	square	square	ADJ
ejpam-3826	129	27	spherical	spherical	ADJ
ejpam-3826	129	28	shell	shell	NOUN
ejpam-3826	129	29	panels	panel	NOUN
ejpam-3826	129	30	collected	collect	VERB
ejpam-3826	129	31	of	of	ADP
ejpam-3826	129	32	aluminum	aluminum	NOUN
ejpam-3826	129	33	and	and	CCONJ
ejpam-3826	129	34	alumina	alumina	NOUN
ejpam-3826	129	35	,	,	PUNCT
ejpam-3826	129	36	r	r	NOUN
ejpam-3826	129	37	/	/	SYM
ejpam-3826	129	38	a	a	NOUN
ejpam-3826	129	39	=	=	SYM
ejpam-3826	129	40	1	1	NUM
ejpam-3826	129	41	and	and	CCONJ
ejpam-3826	129	42	a	a	DET
ejpam-3826	129	43	/	/	SYM
ejpam-3826	129	44	h	h	NOUN
ejpam-3826	129	45	=	=	NOUN
ejpam-3826	129	46	10	10	NUM
ejpam-3826	129	47	,	,	PUNCT
ejpam-3826	129	48	for	for	ADP
ejpam-3826	129	49	various	various	ADJ
ejpam-3826	129	50	p	p	PROPN
ejpam-3826	129	51	p	p	ADJ
ejpam-3826	129	52	ref	ref	NOUN
ejpam-3826	130	1	[	[	X
ejpam-3826	130	2	3	3	NUM
ejpam-3826	130	3	]	]	X
ejpam-3826	130	4	present	present	ADJ
ejpam-3826	130	5	ref	ref	NOUN
ejpam-3826	131	1	[	[	X
ejpam-3826	131	2	16	16	NUM
ejpam-3826	131	3	]	]	X
ejpam-3826	131	4	εzz	εzz	PROPN
ejpam-3826	131	5	6=	6=	NUM
ejpam-3826	131	6	0	0	NUM
ejpam-3826	131	7	0	0	NUM
ejpam-3826	132	1	120.9210	120.9210	NUM
ejpam-3826	132	2	122.2234	122.2234	NUM
ejpam-3826	132	3	122.3533	122.3533	NUM
ejpam-3826	132	4	0.2	0.2	NUM
ejpam-3826	132	5	112.2017	112.2017	NUM
ejpam-3826	132	6	112.4581	112.4581	NUM
ejpam-3826	132	7	112.8132	112.8132	NUM
ejpam-3826	132	8	0.5	0.5	NUM
ejpam-3826	132	9	102.5983	102.5983	NUM
ejpam-3826	132	10	102.8894	102.8894	NUM
ejpam-3826	132	11	103.1490	103.1490	NUM
ejpam-3826	132	12	1	1	NUM
ejpam-3826	132	13	92.2147	92.2147	NUM
ejpam-3826	132	14	92.5215	92.5215	NUM
ejpam-3826	132	15	92.6962	92.6962	NUM
ejpam-3826	132	16	2	2	NUM
ejpam-3826	132	17	81.3963	81.3963	NUM
ejpam-3826	132	18	81.7456	81.7456	NUM
ejpam-3826	132	19	81.9179	81.9179	NUM
ejpam-3826	132	20	∞	∞	PROPN
ejpam-3826	132	21	56.2999	56.2999	NUM
ejpam-3826	132	22	55.7926	55.7926	NUM
ejpam-3826	132	23	55.2827	55.2827	NUM
ejpam-3826	132	24	table	table	NOUN
ejpam-3826	132	25	3	3	NUM
ejpam-3826	132	26	:	:	PUNCT
ejpam-3826	132	27	fundamental	fundamental	ADJ
ejpam-3826	132	28	frequencies	frequency	NOUN
ejpam-3826	132	29	of	of	ADP
ejpam-3826	132	30	cccc	cccc	PROPN
ejpam-3826	132	31	square	square	ADJ
ejpam-3826	132	32	spherical	spherical	ADJ
ejpam-3826	132	33	shell	shell	NOUN
ejpam-3826	132	34	panels	panel	NOUN
ejpam-3826	132	35	collected	collect	VERB
ejpam-3826	132	36	of	of	ADP
ejpam-3826	132	37	aluminum	aluminum	NOUN
ejpam-3826	132	38	and	and	CCONJ
ejpam-3826	132	39	alumina	alumina	NOUN
ejpam-3826	132	40	,	,	PUNCT
ejpam-3826	132	41	r	r	NOUN
ejpam-3826	132	42	/	/	SYM
ejpam-3826	132	43	a	a	NOUN
ejpam-3826	132	44	=	=	SYM
ejpam-3826	132	45	5	5	NUM
ejpam-3826	132	46	and	and	CCONJ
ejpam-3826	132	47	a	a	DET
ejpam-3826	132	48	/	/	SYM
ejpam-3826	132	49	h	h	NOUN
ejpam-3826	132	50	=	=	NOUN
ejpam-3826	132	51	10	10	NUM
ejpam-3826	132	52	,	,	PUNCT
ejpam-3826	132	53	for	for	ADP
ejpam-3826	132	54	various	various	ADJ
ejpam-3826	132	55	p	p	PROPN
ejpam-3826	132	56	p	p	ADJ
ejpam-3826	132	57	ref	ref	NOUN
ejpam-3826	132	58	[	[	X
ejpam-3826	132	59	3	3	NUM
ejpam-3826	132	60	]	]	X
ejpam-3826	132	61	present	present	ADJ
ejpam-3826	132	62	ref	ref	NOUN
ejpam-3826	133	1	[	[	X
ejpam-3826	133	2	16	16	NUM
ejpam-3826	133	3	]	]	X
ejpam-3826	133	4	εzz	εzz	PROPN
ejpam-3826	133	5	6=	6=	NUM
ejpam-3826	133	6	0	0	NUM
ejpam-3826	133	7	0	0	NUM
ejpam-3826	133	8	73.5550	73.5550	NUM
ejpam-3826	133	9	74.1879	74.1879	NUM
ejpam-3826	133	10	75.2810	75.2810	NUM
ejpam-3826	133	11	0.2	0.2	NUM
ejpam-3826	133	12	69.6597	69.6597	NUM
ejpam-3826	133	13	68.9369	68.9369	NUM
ejpam-3826	133	14	68.6329	68.6329	NUM
ejpam-3826	133	15	0.5	0.5	NUM
ejpam-3826	133	16	64.6114	64.6114	NUM
ejpam-3826	133	17	63.1508	63.1508	NUM
ejpam-3826	133	18	62.0789	62.0789	NUM
ejpam-3826	133	19	1	1	NUM
ejpam-3826	133	20	57.8619	57.8619	NUM
ejpam-3826	133	21	56.3608	56.3608	NUM
ejpam-3826	133	22	55.2302	55.2302	NUM
ejpam-3826	133	23	2	2	NUM
ejpam-3826	133	24	37.3914	37.3914	NUM
ejpam-3826	133	25	43.0285	43.0285	NUM
ejpam-3826	133	26	49.0328	49.0328	NUM
ejpam-3826	134	1	∞	∞	NUM
ejpam-3826	134	2	33.2343	33.2343	NUM
ejpam-3826	134	3	33.5202	33.5202	NUM
ejpam-3826	134	4	34.0141	34.0141	NUM
ejpam-3826	134	5	table	table	NOUN
ejpam-3826	134	6	4	4	NUM
ejpam-3826	134	7	:	:	PUNCT
ejpam-3826	134	8	fundamental	fundamental	ADJ
ejpam-3826	134	9	frequencies	frequency	NOUN
ejpam-3826	134	10	of	of	ADP
ejpam-3826	134	11	ssss	ssss	NOUN
ejpam-3826	134	12	square	square	ADJ
ejpam-3826	134	13	spherical	spherical	ADJ
ejpam-3826	134	14	shell	shell	NOUN
ejpam-3826	134	15	panels	panel	NOUN
ejpam-3826	134	16	collected	collect	VERB
ejpam-3826	134	17	of	of	ADP
ejpam-3826	134	18	aluminum	aluminum	NOUN
ejpam-3826	134	19	and	and	CCONJ
ejpam-3826	134	20	alumina	alumina	NOUN
ejpam-3826	134	21	,	,	PUNCT
ejpam-3826	134	22	r	r	NOUN
ejpam-3826	134	23	/	/	SYM
ejpam-3826	134	24	a	a	PRON
ejpam-3826	134	25	=	=	SYM
ejpam-3826	134	26	0.5	0.5	NUM
ejpam-3826	134	27	and	and	CCONJ
ejpam-3826	134	28	a	a	DET
ejpam-3826	134	29	/	/	SYM
ejpam-3826	134	30	h	h	NOUN
ejpam-3826	134	31	=	=	NOUN
ejpam-3826	134	32	10	10	NUM
ejpam-3826	134	33	,	,	PUNCT
ejpam-3826	134	34	for	for	ADP
ejpam-3826	134	35	various	various	ADJ
ejpam-3826	134	36	p	p	PROPN
ejpam-3826	134	37	p	p	ADJ
ejpam-3826	134	38	ref	ref	NOUN
ejpam-3826	135	1	[	[	X
ejpam-3826	135	2	3	3	NUM
ejpam-3826	135	3	]	]	X
ejpam-3826	135	4	present	present	ADJ
ejpam-3826	135	5	ref	ref	NOUN
ejpam-3826	136	1	[	[	X
ejpam-3826	136	2	16	16	NUM
ejpam-3826	136	3	]	]	X
ejpam-3826	136	4	εzz	εzz	PROPN
ejpam-3826	136	5	6=	6=	NUM
ejpam-3826	136	6	0	0	NUM
ejpam-3826	136	7	0	0	NUM
ejpam-3826	137	1	124.1581	124.1581	NUM
ejpam-3826	137	2	125.2288	125.2288	NUM
ejpam-3826	137	3	126.0882	126.0882	NUM
ejpam-3826	137	4	0.2	0.2	NUM
ejpam-3826	137	5	115.7499	115.7499	NUM
ejpam-3826	137	6	116.5276	116.5276	NUM
ejpam-3826	137	7	117.0197	117.0197	NUM
ejpam-3826	137	8	0.5	0.5	NUM
ejpam-3826	137	9	106.5014	106.5014	NUM
ejpam-3826	137	10	107.2529	107.2529	NUM
ejpam-3826	137	11	107.6572	107.6572	NUM
ejpam-3826	137	12	1	1	NUM
ejpam-3826	137	13	96.2587	96.2587	NUM
ejpam-3826	137	14	96.9763	96.9763	NUM
ejpam-3826	137	15	97.2968	97.2968	NUM
ejpam-3826	137	16	2	2	NUM
ejpam-3826	137	17	84.8206	84.8206	NUM
ejpam-3826	137	18	85.5247	85.5247	NUM
ejpam-3826	137	19	85.8028	85.8028	NUM
ejpam-3826	137	20	∞	∞	NOUN
ejpam-3826	137	21	57.2005	57.2005	NUM
ejpam-3826	137	22	7.1331	7.1331	NUM
ejpam-3826	137	23	56.9702	56.9702	NUM
ejpam-3826	137	24	m.	m.	NOUN
ejpam-3826	137	25	zannon	zannon	NOUN
ejpam-3826	137	26	,	,	PUNCT
ejpam-3826	137	27	a.	a.	PROPN
ejpam-3826	137	28	abu	abu	PROPN
ejpam-3826	137	29	-	-	PUNCT
ejpam-3826	137	30	rqayiq	rqayiq	PROPN
ejpam-3826	137	31	,	,	PUNCT
ejpam-3826	137	32	a.	a.	PROPN
ejpam-3826	137	33	al	al	PROPN
ejpam-3826	137	34	-	-	PUNCT
ejpam-3826	137	35	bdour	bdour	PROPN
ejpam-3826	137	36	/	/	SYM
ejpam-3826	137	37	eur	eur	PROPN
ejpam-3826	137	38	.	.	PUNCT
ejpam-3826	138	1	j.	j.	PROPN
ejpam-3826	138	2	pure	pure	PROPN
ejpam-3826	138	3	appl	appl	PROPN
ejpam-3826	138	4	.	.	PROPN
ejpam-3826	138	5	math	math	PROPN
ejpam-3826	138	6	,	,	PUNCT
ejpam-3826	138	7	13	13	NUM
ejpam-3826	138	8	(	(	PUNCT
ejpam-3826	138	9	4	4	NUM
ejpam-3826	138	10	)	)	PUNCT
ejpam-3826	138	11	(	(	PUNCT
ejpam-3826	138	12	2020	2020	NUM
ejpam-3826	138	13	)	)	PUNCT
ejpam-3826	138	14	,	,	PUNCT
ejpam-3826	138	15	766	766	NUM
ejpam-3826	138	16	-	-	SYM
ejpam-3826	138	17	778	778	NUM
ejpam-3826	138	18	775	775	NUM
ejpam-3826	138	19	table	table	NOUN
ejpam-3826	138	20	5	5	NUM
ejpam-3826	138	21	:	:	PUNCT
ejpam-3826	138	22	fundamental	fundamental	ADJ
ejpam-3826	138	23	frequencies	frequency	NOUN
ejpam-3826	138	24	of	of	ADP
ejpam-3826	138	25	ssss	ssss	NOUN
ejpam-3826	138	26	square	square	ADJ
ejpam-3826	138	27	spherical	spherical	ADJ
ejpam-3826	138	28	shell	shell	NOUN
ejpam-3826	138	29	panels	panel	NOUN
ejpam-3826	138	30	collected	collect	VERB
ejpam-3826	138	31	of	of	ADP
ejpam-3826	138	32	aluminum	aluminum	NOUN
ejpam-3826	138	33	and	and	CCONJ
ejpam-3826	138	34	alumina	alumina	NOUN
ejpam-3826	138	35	,	,	PUNCT
ejpam-3826	138	36	r	r	NOUN
ejpam-3826	138	37	/	/	SYM
ejpam-3826	138	38	a	a	NOUN
ejpam-3826	138	39	=	=	SYM
ejpam-3826	138	40	1	1	NUM
ejpam-3826	138	41	and	and	CCONJ
ejpam-3826	138	42	a	a	DET
ejpam-3826	138	43	/	/	SYM
ejpam-3826	138	44	h	h	NOUN
ejpam-3826	138	45	=	=	NOUN
ejpam-3826	138	46	10	10	NUM
ejpam-3826	138	47	,	,	PUNCT
ejpam-3826	138	48	for	for	ADP
ejpam-3826	138	49	various	various	ADJ
ejpam-3826	138	50	p	p	PROPN
ejpam-3826	138	51	p	p	ADJ
ejpam-3826	138	52	ref	ref	NOUN
ejpam-3826	139	1	[	[	X
ejpam-3826	139	2	3	3	NUM
ejpam-3826	139	3	]	]	X
ejpam-3826	139	4	present	present	ADJ
ejpam-3826	139	5	ref	ref	NOUN
ejpam-3826	140	1	[	[	X
ejpam-3826	140	2	16	16	NUM
ejpam-3826	140	3	]	]	X
ejpam-3826	140	4	εzz	εzz	PROPN
ejpam-3826	140	5	6=	6=	NUM
ejpam-3826	140	6	0	0	NUM
ejpam-3826	140	7	0	0	NUM
ejpam-3826	140	8	44.0073	44.0073	NUM
ejpam-3826	140	9	44.2264	44.2264	NUM
ejpam-3826	140	10	44.4697	44.4697	NUM
ejpam-3826	140	11	0.2	0.2	NUM
ejpam-3826	140	12	41.7782	41.7782	NUM
ejpam-3826	140	13	41.0859	41.0859	NUM
ejpam-3826	140	14	40.4211	40.4211	NUM
ejpam-3826	140	15	0.5	0.5	NUM
ejpam-3826	140	16	38.7731	38.7731	NUM
ejpam-3826	140	17	37.6092	37.6092	NUM
ejpam-3826	140	18	36.4782	36.4782	NUM
ejpam-3826	140	19	1	1	NUM
ejpam-3826	140	20	34.6009	34.6009	NUM
ejpam-3826	140	21	33.4847	33.4847	NUM
ejpam-3826	140	22	32.4101	32.4101	NUM
ejpam-3826	140	23	2	2	NUM
ejpam-3826	140	24	28.7459	28.7459	NUM
ejpam-3826	140	25	28.7646	28.7646	NUM
ejpam-3826	140	26	28.8329	28.8329	NUM
ejpam-3826	140	27	∞	∞	NUM
ejpam-3826	140	28	19.8838	19.8838	NUM
ejpam-3826	140	29	19.9828	19.9828	NUM
ejpam-3826	140	30	20.0927	20.0927	NUM
ejpam-3826	140	31	table	table	NOUN
ejpam-3826	140	32	6	6	NUM
ejpam-3826	140	33	:	:	PUNCT
ejpam-3826	140	34	fundamental	fundamental	ADJ
ejpam-3826	140	35	frequencies	frequency	NOUN
ejpam-3826	140	36	of	of	ADP
ejpam-3826	140	37	ssss	ssss	NOUN
ejpam-3826	140	38	square	square	ADJ
ejpam-3826	140	39	spherical	spherical	ADJ
ejpam-3826	140	40	shell	shell	NOUN
ejpam-3826	140	41	panels	panel	NOUN
ejpam-3826	140	42	collected	collect	VERB
ejpam-3826	140	43	of	of	ADP
ejpam-3826	140	44	aluminum	aluminum	NOUN
ejpam-3826	140	45	and	and	CCONJ
ejpam-3826	140	46	alumina	alumina	NOUN
ejpam-3826	140	47	,	,	PUNCT
ejpam-3826	140	48	r	r	NOUN
ejpam-3826	140	49	/	/	SYM
ejpam-3826	140	50	a	a	NOUN
ejpam-3826	140	51	=	=	SYM
ejpam-3826	140	52	5	5	NUM
ejpam-3826	140	53	and	and	CCONJ
ejpam-3826	140	54	a	a	DET
ejpam-3826	140	55	/	/	SYM
ejpam-3826	140	56	h	h	NOUN
ejpam-3826	140	57	=	=	NOUN
ejpam-3826	140	58	10	10	NUM
ejpam-3826	140	59	,	,	PUNCT
ejpam-3826	140	60	for	for	ADP
ejpam-3826	140	61	various	various	ADJ
ejpam-3826	140	62	p	p	PROPN
ejpam-3826	140	63	p	p	ADJ
ejpam-3826	140	64	ref	ref	NOUN
ejpam-3826	141	1	[	[	X
ejpam-3826	141	2	3	3	NUM
ejpam-3826	141	3	]	]	X
ejpam-3826	141	4	present	present	ADJ
ejpam-3826	141	5	ref	ref	NOUN
ejpam-3826	142	1	[	[	X
ejpam-3826	142	2	16	16	NUM
ejpam-3826	142	3	]	]	X
ejpam-3826	142	4	εzz	εzz	PROPN
ejpam-3826	142	5	6=	6=	NUM
ejpam-3826	142	6	0	0	NUM
ejpam-3826	142	7	0	0	NUM
ejpam-3826	143	1	124.1581	124.1581	NUM
ejpam-3826	143	2	125.2288	125.2288	NUM
ejpam-3826	143	3	126.0882	126.0882	NUM
ejpam-3826	143	4	0.2	0.2	NUM
ejpam-3826	143	5	115.7499	115.7499	NUM
ejpam-3826	143	6	116.5276	116.5276	NUM
ejpam-3826	143	7	117.0197	117.0197	NUM
ejpam-3826	143	8	0.5	0.5	NUM
ejpam-3826	143	9	106.5014	106.5014	NUM
ejpam-3826	143	10	107.2529	107.2529	NUM
ejpam-3826	143	11	107.6572	107.6572	NUM
ejpam-3826	143	12	1	1	NUM
ejpam-3826	143	13	96.2587	96.2587	NUM
ejpam-3826	143	14	96.9763	96.9763	NUM
ejpam-3826	143	15	97.2968	97.2968	NUM
ejpam-3826	143	16	2	2	NUM
ejpam-3826	143	17	84.8206	84.8206	NUM
ejpam-3826	143	18	85.5247	85.5247	NUM
ejpam-3826	143	19	85.8028	85.8028	NUM
ejpam-3826	143	20	∞	∞	NOUN
ejpam-3826	143	21	57.2005	57.2005	NUM
ejpam-3826	143	22	7.1331	7.1331	NUM
ejpam-3826	143	23	56.9702	56.9702	NUM
ejpam-3826	143	24	references	reference	NOUN
ejpam-3826	143	25	776	776	NUM
ejpam-3826	143	26	3	3	NUM
ejpam-3826	143	27	.	.	PUNCT
ejpam-3826	143	28	conclusions	conclusion	NOUN
ejpam-3826	143	29	here	here	ADV
ejpam-3826	143	30	we	we	PRON
ejpam-3826	143	31	examine	examine	VERB
ejpam-3826	143	32	the	the	DET
ejpam-3826	143	33	previous	previous	ADJ
ejpam-3826	143	34	work	work	NOUN
ejpam-3826	143	35	and	and	CCONJ
ejpam-3826	143	36	continue	continue	VERB
ejpam-3826	143	37	to	to	PART
ejpam-3826	143	38	propose	propose	VERB
ejpam-3826	143	39	our	our	PRON
ejpam-3826	143	40	own	own	ADJ
ejpam-3826	143	41	methods	method	NOUN
ejpam-3826	143	42	.	.	PUNCT
ejpam-3826	144	1	free	free	ADJ
ejpam-3826	144	2	vibration	vibration	NOUN
ejpam-3826	144	3	analyzes	analyze	NOUN
ejpam-3826	144	4	of	of	ADP
ejpam-3826	144	5	fg	fg	PROPN
ejpam-3826	144	6	spherical	spherical	ADJ
ejpam-3826	144	7	shells	shell	NOUN
ejpam-3826	144	8	is	be	AUX
ejpam-3826	144	9	examined	examine	VERB
ejpam-3826	144	10	.	.	PUNCT
ejpam-3826	145	1	a	a	DET
ejpam-3826	145	2	third	third	ADJ
ejpam-3826	145	3	-	-	PUNCT
ejpam-3826	145	4	order	order	NOUN
ejpam-3826	145	5	shear	shear	NOUN
ejpam-3826	145	6	deformation	deformation	NOUN
ejpam-3826	145	7	theory	theory	NOUN
ejpam-3826	145	8	that	that	PRON
ejpam-3826	145	9	allows	allow	VERB
ejpam-3826	145	10	extensibility	extensibility	NOUN
ejpam-3826	145	11	in	in	ADP
ejpam-3826	145	12	the	the	DET
ejpam-3826	145	13	thickness	thickness	NOUN
ejpam-3826	145	14	direction	direction	NOUN
ejpam-3826	145	15	was	be	AUX
ejpam-3826	145	16	executed	execute	VERB
ejpam-3826	145	17	and	and	CCONJ
ejpam-3826	145	18	the	the	DET
ejpam-3826	145	19	influence	influence	NOUN
ejpam-3826	145	20	of	of	ADP
ejpam-3826	145	21	εzz	εzz	PROPN
ejpam-3826	145	22	6=	6=	NUM
ejpam-3826	145	23	0	0	NUM
ejpam-3826	145	24	was	be	AUX
ejpam-3826	145	25	studied	study	VERB
ejpam-3826	145	26	.	.	PUNCT
ejpam-3826	146	1	the	the	DET
ejpam-3826	146	2	main	main	ADJ
ejpam-3826	146	3	conclusion	conclusion	NOUN
ejpam-3826	146	4	that	that	PRON
ejpam-3826	146	5	can	can	AUX
ejpam-3826	146	6	be	be	AUX
ejpam-3826	146	7	drawn	draw	VERB
ejpam-3826	146	8	from	from	ADP
ejpam-3826	146	9	this	this	DET
ejpam-3826	146	10	work	work	NOUN
ejpam-3826	146	11	is	be	AUX
ejpam-3826	146	12	the	the	DET
ejpam-3826	146	13	fundamental	fundamental	ADJ
ejpam-3826	146	14	frequency	frequency	NOUN
ejpam-3826	146	15	decreases	decrease	NOUN
ejpam-3826	146	16	as	as	ADP
ejpam-3826	146	17	the	the	DET
ejpam-3826	146	18	ratio	ratio	NOUN
ejpam-3826	146	19	r	r	NOUN
ejpam-3826	146	20	/	/	SYM
ejpam-3826	146	21	a	a	DET
ejpam-3826	146	22	increases	increase	NOUN
ejpam-3826	146	23	,	,	PUNCT
ejpam-3826	146	24	clamped	clamp	VERB
ejpam-3826	146	25	fg	fg	PROPN
ejpam-3826	146	26	shell	shell	NOUN
ejpam-3826	146	27	panels	panel	NOUN
ejpam-3826	146	28	present	present	VERB
ejpam-3826	146	29	higher	high	ADJ
ejpam-3826	146	30	frequency	frequency	NOUN
ejpam-3826	146	31	values	value	NOUN
ejpam-3826	146	32	than	than	ADP
ejpam-3826	146	33	simply	simply	ADV
ejpam-3826	146	34	supported	support	VERB
ejpam-3826	146	35	ones	one	NOUN
ejpam-3826	146	36	and	and	CCONJ
ejpam-3826	146	37	the	the	DET
ejpam-3826	146	38	fundamental	fundamental	ADJ
ejpam-3826	146	39	frequency	frequency	NOUN
ejpam-3826	146	40	of	of	ADP
ejpam-3826	146	41	fg	fg	PROPN
ejpam-3826	146	42	spherical	spherical	ADJ
ejpam-3826	146	43	shell	shell	NOUN
ejpam-3826	146	44	panels	panel	NOUN
ejpam-3826	146	45	decreases	decrease	VERB
ejpam-3826	146	46	as	as	ADP
ejpam-3826	146	47	the	the	DET
ejpam-3826	146	48	exponent	exponent	NOUN
ejpam-3826	146	49	p	p	PROPN
ejpam-3826	146	50	in	in	ADP
ejpam-3826	146	51	power	power	NOUN
ejpam-3826	146	52	-	-	PUNCT
ejpam-3826	146	53	law	law	NOUN
ejpam-3826	146	54	increases	increase	NOUN
ejpam-3826	146	55	.	.	PUNCT
ejpam-3826	147	1	the	the	DET
ejpam-3826	147	2	effect	effect	NOUN
ejpam-3826	147	3	of	of	ADP
ejpam-3826	147	4	εzz	εzz	PROPN
ejpam-3826	147	5	6=	6=	SYM
ejpam-3826	147	6	0	0	NUM
ejpam-3826	147	7	shows	show	VERB
ejpam-3826	147	8	significance	significance	NOUN
ejpam-3826	147	9	in	in	ADP
ejpam-3826	147	10	thicker	thick	ADJ
ejpam-3826	147	11	shells	shell	NOUN
ejpam-3826	147	12	and	and	CCONJ
ejpam-3826	147	13	seems	seem	VERB
ejpam-3826	147	14	independent	independent	ADJ
ejpam-3826	147	15	of	of	ADP
ejpam-3826	147	16	the	the	DET
ejpam-3826	147	17	radius	radius	NOUN
ejpam-3826	147	18	of	of	ADP
ejpam-3826	147	19	curvature	curvature	NOUN
ejpam-3826	147	20	.	.	PUNCT
ejpam-3826	148	1	the	the	DET
ejpam-3826	148	2	accuracy	accuracy	NOUN
ejpam-3826	148	3	and	and	CCONJ
ejpam-3826	148	4	reliability	reliability	NOUN
ejpam-3826	148	5	of	of	ADP
ejpam-3826	148	6	the	the	DET
ejpam-3826	148	7	present	present	ADJ
ejpam-3826	148	8	method	method	NOUN
ejpam-3826	148	9	is	be	AUX
ejpam-3826	148	10	carried	carry	VERB
ejpam-3826	148	11	out	out	ADP
ejpam-3826	148	12	by	by	ADP
ejpam-3826	148	13	comparing	compare	VERB
ejpam-3826	148	14	our	our	PRON
ejpam-3826	148	15	present	present	ADJ
ejpam-3826	148	16	findings	finding	NOUN
ejpam-3826	148	17	with	with	ADP
ejpam-3826	148	18	those	those	PRON
ejpam-3826	148	19	of	of	ADP
ejpam-3826	148	20	available	available	ADJ
ejpam-3826	148	21	numerical	numerical	ADJ
ejpam-3826	148	22	results	result	NOUN
ejpam-3826	148	23	.	.	PUNCT
ejpam-3826	149	1	acknowledgements	acknowledgement	NOUN
ejpam-3826	149	2	the	the	DET
ejpam-3826	149	3	authors	author	NOUN
ejpam-3826	149	4	thank	thank	VERB
ejpam-3826	149	5	the	the	DET
ejpam-3826	149	6	fund	fund	NOUN
ejpam-3826	149	7	by	by	ADP
ejpam-3826	149	8	the	the	DET
ejpam-3826	149	9	college	college	PROPN
ejpam-3826	149	10	of	of	ADP
ejpam-3826	149	11	science	science	NOUN
ejpam-3826	149	12	and	and	CCONJ
ejpam-3826	149	13	engineering	engineering	NOUN
ejpam-3826	149	14	at	at	ADP
ejpam-3826	149	15	texas	texas	PROPN
ejpam-3826	149	16	a&m	a&m	PROPN
ejpam-3826	149	17	university	university	NOUN
ejpam-3826	149	18	-	-	PUNCT
ejpam-3826	149	19	corpus	corpus	NOUN
ejpam-3826	149	20	christi	christi	PROPN
ejpam-3826	149	21	.	.	PUNCT
ejpam-3826	150	1	references	reference	NOUN
ejpam-3826	150	2	[	[	X
ejpam-3826	150	3	1	1	NUM
ejpam-3826	150	4	]	]	PUNCT
ejpam-3826	150	5	yamna	yamna	NOUN
ejpam-3826	150	6	belkhodja	belkhodja	PROPN
ejpam-3826	150	7	,	,	PUNCT
ejpam-3826	150	8	djamel	djamel	PROPN
ejpam-3826	150	9	ouinas	ouinas	PROPN
ejpam-3826	150	10	,	,	PUNCT
ejpam-3826	150	11	fatima	fatima	PROPN
ejpam-3826	150	12	zohra	zohra	PROPN
ejpam-3826	150	13	zaoui	zaoui	PROPN
ejpam-3826	150	14	,	,	PUNCT
ejpam-3826	150	15	and	and	CCONJ
ejpam-3826	150	16	hamida	hamida	PROPN
ejpam-3826	150	17	fekirini	fekirini	PROPN
ejpam-3826	150	18	.	.	PUNCT
ejpam-3826	151	1	an	an	DET
ejpam-3826	151	2	exponential	exponential	NOUN
ejpam-3826	151	3	-	-	PUNCT
ejpam-3826	151	4	trigonometric	trigonometric	ADJ
ejpam-3826	151	5	higher	high	ADJ
ejpam-3826	151	6	order	order	NOUN
ejpam-3826	151	7	shear	shear	NOUN
ejpam-3826	151	8	deformation	deformation	NOUN
ejpam-3826	151	9	theory	theory	NOUN
ejpam-3826	151	10	(	(	PUNCT
ejpam-3826	151	11	hsdt	hsdt	NOUN
ejpam-3826	151	12	)	)	PUNCT
ejpam-3826	151	13	for	for	ADP
ejpam-3826	151	14	bending	bend	VERB
ejpam-3826	151	15	,	,	PUNCT
ejpam-3826	151	16	free	free	ADJ
ejpam-3826	151	17	vibration	vibration	NOUN
ejpam-3826	151	18	,	,	PUNCT
ejpam-3826	151	19	and	and	CCONJ
ejpam-3826	151	20	buckling	buckle	VERB
ejpam-3826	151	21	analysis	analysis	NOUN
ejpam-3826	151	22	of	of	ADP
ejpam-3826	151	23	functionally	functionally	ADV
ejpam-3826	151	24	graded	grade	VERB
ejpam-3826	151	25	materials	material	NOUN
ejpam-3826	151	26	(	(	PUNCT
ejpam-3826	151	27	fgms	fgms	ADJ
ejpam-3826	151	28	)	)	PUNCT
ejpam-3826	151	29	plates	plate	NOUN
ejpam-3826	151	30	.	.	PUNCT
ejpam-3826	152	1	advanced	advanced	ADJ
ejpam-3826	152	2	composites	composite	NOUN
ejpam-3826	152	3	letters	letter	NOUN
ejpam-3826	152	4	,	,	PUNCT
ejpam-3826	152	5	29:0963693519875739	29:0963693519875739	NUM
ejpam-3826	152	6	,	,	PUNCT
ejpam-3826	152	7	2020	2020	NUM
ejpam-3826	152	8	.	.	PUNCT
ejpam-3826	153	1	[	[	X
ejpam-3826	153	2	2	2	NUM
ejpam-3826	153	3	]	]	PUNCT
ejpam-3826	153	4	gurpreet	gurpreet	NOUN
ejpam-3826	153	5	singh	singh	PROPN
ejpam-3826	153	6	bhatia	bhatia	PROPN
ejpam-3826	153	7	and	and	CCONJ
ejpam-3826	153	8	geeta	geeta	PROPN
ejpam-3826	153	9	arora	arora	PROPN
ejpam-3826	153	10	.	.	PUNCT
ejpam-3826	154	1	radial	radial	ADJ
ejpam-3826	154	2	basis	basis	NOUN
ejpam-3826	154	3	function	function	NOUN
ejpam-3826	154	4	methods	method	NOUN
ejpam-3826	154	5	for	for	ADP
ejpam-3826	154	6	solving	solve	VERB
ejpam-3826	154	7	partial	partial	ADJ
ejpam-3826	154	8	differential	differential	NOUN
ejpam-3826	154	9	equations	equation	NOUN
ejpam-3826	154	10	-	-	PUNCT
ejpam-3826	154	11	a	a	DET
ejpam-3826	154	12	review	review	NOUN
ejpam-3826	154	13	.	.	PUNCT
ejpam-3826	155	1	indian	indian	PROPN
ejpam-3826	155	2	journal	journal	PROPN
ejpam-3826	155	3	of	of	ADP
ejpam-3826	155	4	science	science	NOUN
ejpam-3826	155	5	and	and	CCONJ
ejpam-3826	155	6	technology	technology	NOUN
ejpam-3826	155	7	,	,	PUNCT
ejpam-3826	155	8	9(45):1–18	9(45):1–18	NUM
ejpam-3826	155	9	,	,	PUNCT
ejpam-3826	155	10	2016	2016	NUM
ejpam-3826	155	11	.	.	PUNCT
ejpam-3826	156	1	[	[	X
ejpam-3826	156	2	3	3	NUM
ejpam-3826	156	3	]	]	X
ejpam-3826	156	4	m	m	VERB
ejpam-3826	156	5	dottavio	dottavio	NOUN
ejpam-3826	156	6	,	,	PUNCT
ejpam-3826	156	7	d	d	PROPN
ejpam-3826	156	8	ballhause	ballhause	PROPN
ejpam-3826	156	9	,	,	PUNCT
ejpam-3826	156	10	b	b	PROPN
ejpam-3826	156	11	kröplin	kröplin	PROPN
ejpam-3826	156	12	,	,	PUNCT
ejpam-3826	156	13	and	and	CCONJ
ejpam-3826	156	14	e	e	PROPN
ejpam-3826	156	15	carrera	carrera	PROPN
ejpam-3826	156	16	.	.	PUNCT
ejpam-3826	157	1	closed	close	VERB
ejpam-3826	157	2	-	-	PUNCT
ejpam-3826	157	3	form	form	NOUN
ejpam-3826	157	4	solutions	solution	NOUN
ejpam-3826	157	5	for	for	ADP
ejpam-3826	157	6	the	the	DET
ejpam-3826	157	7	free	free	ADJ
ejpam-3826	157	8	-	-	PUNCT
ejpam-3826	157	9	vibration	vibration	NOUN
ejpam-3826	157	10	problem	problem	NOUN
ejpam-3826	157	11	of	of	ADP
ejpam-3826	157	12	multilayered	multilayered	ADJ
ejpam-3826	157	13	piezoelectric	piezoelectric	ADJ
ejpam-3826	157	14	shells	shell	NOUN
ejpam-3826	157	15	.	.	PUNCT
ejpam-3826	158	1	computers	computer	NOUN
ejpam-3826	158	2	&	&	CCONJ
ejpam-3826	158	3	structures	structure	NOUN
ejpam-3826	158	4	,	,	PUNCT
ejpam-3826	158	5	84(22	84(22	NOUN
ejpam-3826	158	6	-	-	NOUN
ejpam-3826	158	7	23):1506–1518	23):1506–1518	ADJ
ejpam-3826	158	8	,	,	PUNCT
ejpam-3826	158	9	2006	2006	NUM
ejpam-3826	158	10	.	.	PUNCT
ejpam-3826	159	1	[	[	X
ejpam-3826	159	2	4	4	NUM
ejpam-3826	159	3	]	]	PUNCT
ejpam-3826	159	4	ajm	ajm	PROPN
ejpam-3826	159	5	ferreira	ferreira	PROPN
ejpam-3826	159	6	.	.	PUNCT
ejpam-3826	160	1	a	a	DET
ejpam-3826	160	2	formulation	formulation	NOUN
ejpam-3826	160	3	of	of	ADP
ejpam-3826	160	4	the	the	DET
ejpam-3826	160	5	multiquadric	multiquadric	ADJ
ejpam-3826	160	6	radial	radial	ADJ
ejpam-3826	160	7	basis	basis	NOUN
ejpam-3826	160	8	function	function	NOUN
ejpam-3826	160	9	method	method	NOUN
ejpam-3826	160	10	for	for	ADP
ejpam-3826	160	11	the	the	DET
ejpam-3826	160	12	analysis	analysis	NOUN
ejpam-3826	160	13	of	of	ADP
ejpam-3826	160	14	laminated	laminated	ADJ
ejpam-3826	160	15	composite	composite	ADJ
ejpam-3826	160	16	plates	plate	NOUN
ejpam-3826	160	17	.	.	PUNCT
ejpam-3826	161	1	composite	composite	ADJ
ejpam-3826	161	2	structures	structure	NOUN
ejpam-3826	161	3	,	,	PUNCT
ejpam-3826	161	4	59(3):385–392	59(3):385–392	NUM
ejpam-3826	161	5	,	,	PUNCT
ejpam-3826	161	6	2003	2003	NUM
ejpam-3826	161	7	.	.	PUNCT
ejpam-3826	162	1	[	[	X
ejpam-3826	162	2	5	5	NUM
ejpam-3826	162	3	]	]	PUNCT
ejpam-3826	162	4	ajm	ajm	PROPN
ejpam-3826	162	5	ferreira	ferreira	PROPN
ejpam-3826	162	6	,	,	PUNCT
ejpam-3826	162	7	e	e	PROPN
ejpam-3826	162	8	carrera	carrera	PROPN
ejpam-3826	162	9	,	,	PUNCT
ejpam-3826	162	10	m	m	VERB
ejpam-3826	162	11	cinefra	cinefra	NOUN
ejpam-3826	162	12	,	,	PUNCT
ejpam-3826	162	13	cmc	cmc	NOUN
ejpam-3826	162	14	roque	roque	NOUN
ejpam-3826	162	15	,	,	PUNCT
ejpam-3826	162	16	and	and	CCONJ
ejpam-3826	162	17	o	o	PROPN
ejpam-3826	162	18	polit	polit	PROPN
ejpam-3826	162	19	.	.	PUNCT
ejpam-3826	163	1	analysis	analysis	NOUN
ejpam-3826	163	2	of	of	ADP
ejpam-3826	163	3	laminated	laminate	VERB
ejpam-3826	163	4	shells	shell	NOUN
ejpam-3826	163	5	by	by	ADP
ejpam-3826	163	6	a	a	DET
ejpam-3826	163	7	sinusoidal	sinusoidal	ADJ
ejpam-3826	163	8	shear	shear	NOUN
ejpam-3826	163	9	deformation	deformation	NOUN
ejpam-3826	163	10	theory	theory	NOUN
ejpam-3826	163	11	and	and	CCONJ
ejpam-3826	163	12	radial	radial	ADJ
ejpam-3826	163	13	basis	basis	NOUN
ejpam-3826	163	14	functions	function	NOUN
ejpam-3826	163	15	collocation	collocation	NOUN
ejpam-3826	163	16	,	,	PUNCT
ejpam-3826	163	17	accounting	account	VERB
ejpam-3826	163	18	for	for	ADP
ejpam-3826	163	19	through	through	ADP
ejpam-3826	163	20	-	-	PUNCT
ejpam-3826	163	21	the	the	DET
ejpam-3826	163	22	-	-	PUNCT
ejpam-3826	163	23	thickness	thickness	NOUN
ejpam-3826	163	24	deformations	deformation	NOUN
ejpam-3826	163	25	.	.	PUNCT
ejpam-3826	164	1	composites	composite	VERB
ejpam-3826	164	2	part	part	NOUN
ejpam-3826	164	3	b	b	NOUN
ejpam-3826	164	4	:	:	PUNCT
ejpam-3826	164	5	engineering	engineering	NOUN
ejpam-3826	164	6	,	,	PUNCT
ejpam-3826	164	7	42(5):1276–1284	42(5):1276–1284	NUM
ejpam-3826	164	8	,	,	PUNCT
ejpam-3826	164	9	2011	2011	NUM
ejpam-3826	164	10	.	.	PUNCT
ejpam-3826	165	1	[	[	X
ejpam-3826	165	2	6	6	NUM
ejpam-3826	165	3	]	]	PUNCT
ejpam-3826	165	4	ajm	ajm	PROPN
ejpam-3826	165	5	ferreira	ferreira	PROPN
ejpam-3826	165	6	and	and	CCONJ
ejpam-3826	165	7	ge	ge	PROPN
ejpam-3826	165	8	fasshauer	fasshauer	PROPN
ejpam-3826	165	9	.	.	PUNCT
ejpam-3826	166	1	computation	computation	NOUN
ejpam-3826	166	2	of	of	ADP
ejpam-3826	166	3	natural	natural	ADJ
ejpam-3826	166	4	frequencies	frequency	NOUN
ejpam-3826	166	5	of	of	ADP
ejpam-3826	166	6	shear	shear	ADJ
ejpam-3826	166	7	deformable	deformable	ADJ
ejpam-3826	166	8	beams	beam	NOUN
ejpam-3826	166	9	and	and	CCONJ
ejpam-3826	166	10	plates	plate	NOUN
ejpam-3826	166	11	by	by	ADP
ejpam-3826	166	12	an	an	DET
ejpam-3826	166	13	rbf	rbf	PROPN
ejpam-3826	166	14	-	-	ADJ
ejpam-3826	166	15	pseudospectral	pseudospectral	ADJ
ejpam-3826	166	16	method	method	NOUN
ejpam-3826	166	17	.	.	PUNCT
ejpam-3826	167	1	computer	computer	NOUN
ejpam-3826	167	2	methods	method	NOUN
ejpam-3826	167	3	in	in	ADP
ejpam-3826	167	4	applied	applied	ADJ
ejpam-3826	167	5	mechanics	mechanic	NOUN
ejpam-3826	167	6	and	and	CCONJ
ejpam-3826	167	7	engineering	engineering	NOUN
ejpam-3826	167	8	,	,	PUNCT
ejpam-3826	167	9	196(1	196(1	NUM
ejpam-3826	167	10	-	-	SYM
ejpam-3826	167	11	3):134–146	3):134–146	NUM
ejpam-3826	167	12	,	,	PUNCT
ejpam-3826	167	13	2006	2006	NUM
ejpam-3826	167	14	.	.	PUNCT
ejpam-3826	168	1	references	reference	NOUN
ejpam-3826	168	2	777	777	NUM
ejpam-3826	169	1	[	[	X
ejpam-3826	169	2	7	7	NUM
ejpam-3826	169	3	]	]	X
ejpam-3826	169	4	ajm	ajm	PROPN
ejpam-3826	169	5	ferreira	ferreira	PROPN
ejpam-3826	169	6	,	,	PUNCT
ejpam-3826	169	7	cmc	cmc	PROPN
ejpam-3826	169	8	roque	roque	PROPN
ejpam-3826	169	9	,	,	PUNCT
ejpam-3826	169	10	e	e	PROPN
ejpam-3826	169	11	carrera	carrera	PROPN
ejpam-3826	169	12	,	,	PUNCT
ejpam-3826	169	13	m	m	VERB
ejpam-3826	169	14	cinefra	cinefra	NOUN
ejpam-3826	169	15	,	,	PUNCT
ejpam-3826	169	16	and	and	CCONJ
ejpam-3826	169	17	o	o	PROPN
ejpam-3826	169	18	polit	polit	PROPN
ejpam-3826	169	19	.	.	PUNCT
ejpam-3826	169	20	radial	radial	ADJ
ejpam-3826	169	21	basis	basis	NOUN
ejpam-3826	169	22	functions	function	NOUN
ejpam-3826	169	23	collocation	collocation	NOUN
ejpam-3826	169	24	and	and	CCONJ
ejpam-3826	169	25	a	a	DET
ejpam-3826	169	26	unified	unified	ADJ
ejpam-3826	169	27	formulation	formulation	NOUN
ejpam-3826	169	28	for	for	ADP
ejpam-3826	169	29	bending	bending	NOUN
ejpam-3826	169	30	,	,	PUNCT
ejpam-3826	169	31	vibration	vibration	NOUN
ejpam-3826	169	32	and	and	CCONJ
ejpam-3826	169	33	buckling	buckle	VERB
ejpam-3826	169	34	analysis	analysis	NOUN
ejpam-3826	169	35	of	of	ADP
ejpam-3826	169	36	laminated	laminated	ADJ
ejpam-3826	169	37	plates	plate	NOUN
ejpam-3826	169	38	,	,	PUNCT
ejpam-3826	169	39	according	accord	VERB
ejpam-3826	169	40	to	to	ADP
ejpam-3826	169	41	a	a	DET
ejpam-3826	169	42	variation	variation	NOUN
ejpam-3826	169	43	of	of	ADP
ejpam-3826	169	44	murakamis	murakamis	ADJ
ejpam-3826	169	45	zig	zig	VERB
ejpam-3826	169	46	-	-	PUNCT
ejpam-3826	169	47	zag	zag	NOUN
ejpam-3826	169	48	theory	theory	NOUN
ejpam-3826	169	49	.	.	PUNCT
ejpam-3826	170	1	european	european	PROPN
ejpam-3826	170	2	journal	journal	PROPN
ejpam-3826	170	3	of	of	ADP
ejpam-3826	170	4	mechanics	mechanic	NOUN
ejpam-3826	170	5	-	-	PUNCT
ejpam-3826	170	6	a	a	DET
ejpam-3826	170	7	/	/	SYM
ejpam-3826	170	8	solids	solid	NOUN
ejpam-3826	170	9	,	,	PUNCT
ejpam-3826	170	10	30(4):559–570	30(4):559–570	NOUN
ejpam-3826	170	11	,	,	PUNCT
ejpam-3826	170	12	2011	2011	NUM
ejpam-3826	170	13	.	.	PUNCT
ejpam-3826	171	1	[	[	X
ejpam-3826	171	2	8	8	NUM
ejpam-3826	171	3	]	]	PUNCT
ejpam-3826	171	4	ajm	ajm	PROPN
ejpam-3826	171	5	ferreira	ferreira	PROPN
ejpam-3826	171	6	,	,	PUNCT
ejpam-3826	171	7	cmc	cmc	NOUN
ejpam-3826	171	8	roque	roque	PROPN
ejpam-3826	171	9	,	,	PUNCT
ejpam-3826	171	10	and	and	CCONJ
ejpam-3826	171	11	pals	pal	NOUN
ejpam-3826	171	12	martins	martin	NOUN
ejpam-3826	171	13	.	.	PUNCT
ejpam-3826	172	1	analysis	analysis	NOUN
ejpam-3826	172	2	of	of	ADP
ejpam-3826	172	3	composite	composite	ADJ
ejpam-3826	172	4	plates	plate	NOUN
ejpam-3826	172	5	using	use	VERB
ejpam-3826	172	6	higher	high	ADJ
ejpam-3826	172	7	-	-	PUNCT
ejpam-3826	172	8	order	order	NOUN
ejpam-3826	172	9	shear	shear	NOUN
ejpam-3826	172	10	deformation	deformation	NOUN
ejpam-3826	172	11	theory	theory	NOUN
ejpam-3826	172	12	and	and	CCONJ
ejpam-3826	172	13	a	a	DET
ejpam-3826	172	14	finite	finite	ADJ
ejpam-3826	172	15	point	point	NOUN
ejpam-3826	172	16	formulation	formulation	NOUN
ejpam-3826	172	17	based	base	VERB
ejpam-3826	172	18	on	on	ADP
ejpam-3826	172	19	the	the	DET
ejpam-3826	172	20	multiquadric	multiquadric	ADJ
ejpam-3826	172	21	radial	radial	ADJ
ejpam-3826	172	22	basis	basis	NOUN
ejpam-3826	172	23	function	function	NOUN
ejpam-3826	172	24	method	method	NOUN
ejpam-3826	172	25	.	.	PUNCT
ejpam-3826	173	1	composites	composite	VERB
ejpam-3826	173	2	part	part	NOUN
ejpam-3826	173	3	b	b	NOUN
ejpam-3826	173	4	:	:	PUNCT
ejpam-3826	173	5	engineering	engineering	NOUN
ejpam-3826	173	6	,	,	PUNCT
ejpam-3826	173	7	34(7):627–636	34(7):627–636	PROPN
ejpam-3826	173	8	,	,	PUNCT
ejpam-3826	173	9	2003	2003	NUM
ejpam-3826	173	10	.	.	PUNCT
ejpam-3826	174	1	[	[	X
ejpam-3826	174	2	9	9	NUM
ejpam-3826	174	3	]	]	X
ejpam-3826	174	4	ahmad	ahmad	PROPN
ejpam-3826	174	5	golbabai	golbabai	PROPN
ejpam-3826	174	6	,	,	PUNCT
ejpam-3826	174	7	omid	omid	PROPN
ejpam-3826	174	8	nikan	nikan	PROPN
ejpam-3826	174	9	,	,	PUNCT
ejpam-3826	174	10	and	and	CCONJ
ejpam-3826	174	11	jaber	jaber	PROPN
ejpam-3826	174	12	ramezani	ramezani	PROPN
ejpam-3826	174	13	tousi	tousi	PROPN
ejpam-3826	174	14	.	.	PUNCT
ejpam-3826	175	1	note	note	VERB
ejpam-3826	175	2	on	on	ADP
ejpam-3826	175	3	using	use	VERB
ejpam-3826	175	4	radial	radial	ADJ
ejpam-3826	175	5	basis	basis	NOUN
ejpam-3826	175	6	functions	function	NOUN
ejpam-3826	175	7	method	method	NOUN
ejpam-3826	175	8	for	for	ADP
ejpam-3826	175	9	solving	solve	VERB
ejpam-3826	175	10	nonlinear	nonlinear	ADJ
ejpam-3826	175	11	integral	integral	ADJ
ejpam-3826	175	12	equations	equation	NOUN
ejpam-3826	175	13	.	.	PUNCT
ejpam-3826	176	1	commun	commun	PROPN
ejpam-3826	176	2	.	.	PUNCT
ejpam-3826	177	1	numer	numer	PROPN
ejpam-3826	177	2	.	.	PUNCT
ejpam-3826	178	1	anal	anal	PROPN
ejpam-3826	178	2	,	,	PUNCT
ejpam-3826	178	3	81:2016	81:2016	PROPN
ejpam-3826	178	4	,	,	PUNCT
ejpam-3826	178	5	2016	2016	NUM
ejpam-3826	178	6	.	.	PUNCT
ejpam-3826	179	1	[	[	X
ejpam-3826	179	2	10	10	NUM
ejpam-3826	179	3	]	]	SYM
ejpam-3826	179	4	vishesh	vishesh	NOUN
ejpam-3826	179	5	ranjan	ranjan	PROPN
ejpam-3826	179	6	kar	kar	PROPN
ejpam-3826	179	7	and	and	CCONJ
ejpam-3826	179	8	subrata	subrata	PROPN
ejpam-3826	179	9	kumar	kumar	PROPN
ejpam-3826	179	10	panda	panda	NOUN
ejpam-3826	179	11	.	.	PUNCT
ejpam-3826	180	1	free	free	ADJ
ejpam-3826	180	2	vibration	vibration	NOUN
ejpam-3826	180	3	responses	response	NOUN
ejpam-3826	180	4	of	of	ADP
ejpam-3826	180	5	functionally	functionally	ADV
ejpam-3826	180	6	graded	grade	VERB
ejpam-3826	180	7	spherical	spherical	ADJ
ejpam-3826	180	8	shell	shell	NOUN
ejpam-3826	180	9	panels	panel	NOUN
ejpam-3826	180	10	using	use	VERB
ejpam-3826	180	11	finite	finite	ADJ
ejpam-3826	180	12	element	element	NOUN
ejpam-3826	180	13	method	method	NOUN
ejpam-3826	180	14	.	.	PUNCT
ejpam-3826	181	1	in	in	ADP
ejpam-3826	181	2	gas	gas	NOUN
ejpam-3826	181	3	turbine	turbine	NOUN
ejpam-3826	181	4	india	india	PROPN
ejpam-3826	181	5	conference	conference	PROPN
ejpam-3826	181	6	,	,	PUNCT
ejpam-3826	181	7	volume	volume	NOUN
ejpam-3826	181	8	35161	35161	NUM
ejpam-3826	181	9	,	,	PUNCT
ejpam-3826	181	10	page	page	NOUN
ejpam-3826	181	11	v001t05a014	v001t05a014	NOUN
ejpam-3826	181	12	.	.	PUNCT
ejpam-3826	182	1	american	american	ADJ
ejpam-3826	182	2	society	society	PROPN
ejpam-3826	182	3	of	of	ADP
ejpam-3826	182	4	mechanical	mechanical	ADJ
ejpam-3826	182	5	engineers	engineer	NOUN
ejpam-3826	182	6	,	,	PUNCT
ejpam-3826	182	7	2013	2013	NUM
ejpam-3826	182	8	.	.	PUNCT
ejpam-3826	183	1	[	[	X
ejpam-3826	183	2	11	11	NUM
ejpam-3826	183	3	]	]	X
ejpam-3826	183	4	dh	dh	PROPN
ejpam-3826	183	5	li	li	PROPN
ejpam-3826	183	6	,	,	PUNCT
ejpam-3826	183	7	x	x	PROPN
ejpam-3826	183	8	yang	yang	PROPN
ejpam-3826	183	9	,	,	PUNCT
ejpam-3826	183	10	rl	rl	PROPN
ejpam-3826	183	11	qian	qian	PROPN
ejpam-3826	183	12	,	,	PUNCT
ejpam-3826	183	13	and	and	CCONJ
ejpam-3826	184	1	d	d	PROPN
ejpam-3826	184	2	xu	xu	PROPN
ejpam-3826	184	3	.	.	PUNCT
ejpam-3826	185	1	static	static	ADJ
ejpam-3826	185	2	and	and	CCONJ
ejpam-3826	185	3	dynamic	dynamic	ADJ
ejpam-3826	185	4	response	response	NOUN
ejpam-3826	185	5	analysis	analysis	NOUN
ejpam-3826	185	6	of	of	ADP
ejpam-3826	185	7	functionally	functionally	ADV
ejpam-3826	185	8	graded	grade	VERB
ejpam-3826	185	9	material	material	NOUN
ejpam-3826	185	10	plates	plate	NOUN
ejpam-3826	185	11	with	with	ADP
ejpam-3826	185	12	damage	damage	NOUN
ejpam-3826	185	13	.	.	PUNCT
ejpam-3826	186	1	mechanics	mechanic	NOUN
ejpam-3826	186	2	of	of	ADP
ejpam-3826	186	3	advanced	advanced	ADJ
ejpam-3826	186	4	materials	material	NOUN
ejpam-3826	186	5	and	and	CCONJ
ejpam-3826	186	6	structures	structure	NOUN
ejpam-3826	186	7	,	,	PUNCT
ejpam-3826	186	8	27(2):94–107	27(2):94–107	NUM
ejpam-3826	186	9	,	,	PUNCT
ejpam-3826	186	10	2020	2020	NUM
ejpam-3826	186	11	.	.	PUNCT
ejpam-3826	187	1	[	[	X
ejpam-3826	187	2	12	12	NUM
ejpam-3826	187	3	]	]	PUNCT
ejpam-3826	187	4	ama	ama	PROPN
ejpam-3826	187	5	neves	neve	NOUN
ejpam-3826	187	6	,	,	PUNCT
ejpam-3826	187	7	ajm	ajm	PROPN
ejpam-3826	187	8	ferreira	ferreira	PROPN
ejpam-3826	187	9	,	,	PUNCT
ejpam-3826	187	10	e	e	PROPN
ejpam-3826	187	11	carrera	carrera	PROPN
ejpam-3826	187	12	,	,	PUNCT
ejpam-3826	187	13	m	m	VERB
ejpam-3826	187	14	cinefra	cinefra	NOUN
ejpam-3826	187	15	,	,	PUNCT
ejpam-3826	187	16	cmc	cmc	NOUN
ejpam-3826	187	17	roque	roque	PROPN
ejpam-3826	187	18	,	,	PUNCT
ejpam-3826	187	19	rmn	rmn	PROPN
ejpam-3826	187	20	jorge	jorge	NOUN
ejpam-3826	187	21	,	,	PUNCT
ejpam-3826	187	22	and	and	CCONJ
ejpam-3826	187	23	cmm	cmm	PROPN
ejpam-3826	187	24	soares	soares	PROPN
ejpam-3826	187	25	.	.	PUNCT
ejpam-3826	188	1	free	free	ADJ
ejpam-3826	188	2	vibration	vibration	NOUN
ejpam-3826	188	3	analysis	analysis	NOUN
ejpam-3826	188	4	of	of	ADP
ejpam-3826	188	5	functionally	functionally	ADV
ejpam-3826	188	6	graded	grade	VERB
ejpam-3826	188	7	shells	shell	NOUN
ejpam-3826	188	8	by	by	ADP
ejpam-3826	188	9	a	a	DET
ejpam-3826	188	10	higherorder	higherorder	NOUN
ejpam-3826	188	11	shear	shear	NOUN
ejpam-3826	188	12	deformation	deformation	NOUN
ejpam-3826	188	13	theory	theory	NOUN
ejpam-3826	188	14	and	and	CCONJ
ejpam-3826	188	15	radial	radial	ADJ
ejpam-3826	188	16	basis	basis	NOUN
ejpam-3826	188	17	functions	function	NOUN
ejpam-3826	188	18	collocation	collocation	NOUN
ejpam-3826	188	19	,	,	PUNCT
ejpam-3826	188	20	accounting	account	VERB
ejpam-3826	188	21	for	for	ADP
ejpam-3826	188	22	through	through	ADP
ejpam-3826	188	23	-	-	PUNCT
ejpam-3826	188	24	the	the	DET
ejpam-3826	188	25	-	-	PUNCT
ejpam-3826	188	26	thickness	thickness	NOUN
ejpam-3826	188	27	deformations	deformation	NOUN
ejpam-3826	188	28	.	.	PUNCT
ejpam-3826	189	1	european	european	ADJ
ejpam-3826	189	2	journal	journal	PROPN
ejpam-3826	189	3	of	of	ADP
ejpam-3826	189	4	mechanics	mechanic	NOUN
ejpam-3826	189	5	-	-	PUNCT
ejpam-3826	189	6	a	a	DET
ejpam-3826	189	7	/	/	SYM
ejpam-3826	189	8	solids	solid	NOUN
ejpam-3826	189	9	,	,	PUNCT
ejpam-3826	189	10	37:24–34	37:24–34	NUM
ejpam-3826	189	11	,	,	PUNCT
ejpam-3826	189	12	2013	2013	NUM
ejpam-3826	189	13	.	.	PUNCT
ejpam-3826	190	1	[	[	X
ejpam-3826	190	2	13	13	NUM
ejpam-3826	190	3	]	]	PUNCT
ejpam-3826	190	4	ama	ama	PROPN
ejpam-3826	190	5	neves	neve	NOUN
ejpam-3826	190	6	,	,	PUNCT
ejpam-3826	190	7	ajm	ajm	PROPN
ejpam-3826	190	8	ferreira	ferreira	PROPN
ejpam-3826	190	9	,	,	PUNCT
ejpam-3826	190	10	e	e	PROPN
ejpam-3826	190	11	carrera	carrera	PROPN
ejpam-3826	190	12	,	,	PUNCT
ejpam-3826	190	13	cmc	cmc	PROPN
ejpam-3826	190	14	roque	roque	PROPN
ejpam-3826	190	15	,	,	PUNCT
ejpam-3826	190	16	m	m	VERB
ejpam-3826	190	17	cinefra	cinefra	NOUN
ejpam-3826	190	18	,	,	PUNCT
ejpam-3826	190	19	rmn	rmn	PROPN
ejpam-3826	190	20	jorge	jorge	NOUN
ejpam-3826	190	21	,	,	PUNCT
ejpam-3826	190	22	and	and	CCONJ
ejpam-3826	190	23	cmm	cmm	PROPN
ejpam-3826	190	24	soares	soares	PROPN
ejpam-3826	190	25	.	.	PUNCT
ejpam-3826	191	1	bending	bend	VERB
ejpam-3826	191	2	of	of	ADP
ejpam-3826	191	3	fgm	fgm	PROPN
ejpam-3826	191	4	plates	plate	NOUN
ejpam-3826	191	5	by	by	ADP
ejpam-3826	191	6	a	a	DET
ejpam-3826	191	7	sinusoidal	sinusoidal	ADJ
ejpam-3826	191	8	plate	plate	NOUN
ejpam-3826	191	9	formulation	formulation	NOUN
ejpam-3826	191	10	and	and	CCONJ
ejpam-3826	191	11	collocation	collocation	NOUN
ejpam-3826	191	12	with	with	ADP
ejpam-3826	191	13	radial	radial	ADJ
ejpam-3826	191	14	basis	basis	NOUN
ejpam-3826	191	15	functions	function	NOUN
ejpam-3826	191	16	.	.	PUNCT
ejpam-3826	192	1	mechanics	mechanic	NOUN
ejpam-3826	192	2	research	research	NOUN
ejpam-3826	192	3	communications	communication	NOUN
ejpam-3826	192	4	,	,	PUNCT
ejpam-3826	192	5	38(5):368–371	38(5):368–371	PROPN
ejpam-3826	192	6	,	,	PUNCT
ejpam-3826	192	7	2011	2011	NUM
ejpam-3826	192	8	.	.	PUNCT
ejpam-3826	193	1	[	[	X
ejpam-3826	193	2	14	14	NUM
ejpam-3826	193	3	]	]	X
ejpam-3826	193	4	t	t	PROPN
ejpam-3826	193	5	-	-	PUNCT
ejpam-3826	193	6	k	k	PROPN
ejpam-3826	193	7	nguyen	nguyen	PROPN
ejpam-3826	193	8	,	,	PUNCT
ejpam-3826	193	9	karam	karam	PROPN
ejpam-3826	193	10	sab	sab	PROPN
ejpam-3826	193	11	,	,	PUNCT
ejpam-3826	193	12	and	and	CCONJ
ejpam-3826	193	13	guy	guy	NOUN
ejpam-3826	193	14	bonnet	bonnet	NOUN
ejpam-3826	193	15	.	.	PUNCT
ejpam-3826	194	1	shear	shear	NOUN
ejpam-3826	194	2	correction	correction	NOUN
ejpam-3826	194	3	factors	factor	VERB
ejpam-3826	194	4	for	for	ADP
ejpam-3826	194	5	functionally	functionally	ADV
ejpam-3826	194	6	graded	grade	VERB
ejpam-3826	194	7	plates	plate	NOUN
ejpam-3826	194	8	.	.	PUNCT
ejpam-3826	195	1	mechanics	mechanic	NOUN
ejpam-3826	195	2	of	of	ADP
ejpam-3826	195	3	advanced	advanced	ADJ
ejpam-3826	195	4	materials	material	NOUN
ejpam-3826	195	5	and	and	CCONJ
ejpam-3826	195	6	structures	structure	NOUN
ejpam-3826	195	7	,	,	PUNCT
ejpam-3826	195	8	14(8):567–575	14(8):567–575	NUM
ejpam-3826	195	9	,	,	PUNCT
ejpam-3826	195	10	2007	2007	NUM
ejpam-3826	195	11	.	.	PUNCT
ejpam-3826	196	1	[	[	X
ejpam-3826	196	2	15	15	NUM
ejpam-3826	196	3	]	]	X
ejpam-3826	196	4	tien	tien	PROPN
ejpam-3826	196	5	dat	dat	PROPN
ejpam-3826	196	6	pham	pham	PROPN
ejpam-3826	196	7	,	,	PUNCT
ejpam-3826	196	8	quoc	quoc	PROPN
ejpam-3826	196	9	hoa	hoa	PROPN
ejpam-3826	196	10	pham	pham	PROPN
ejpam-3826	196	11	,	,	PUNCT
ejpam-3826	196	12	van	van	PROPN
ejpam-3826	196	13	duc	duc	PROPN
ejpam-3826	196	14	phan	phan	PROPN
ejpam-3826	196	15	,	,	PUNCT
ejpam-3826	196	16	hoang	hoang	PROPN
ejpam-3826	196	17	nam	nam	PROPN
ejpam-3826	196	18	nguyen	nguyen	PROPN
ejpam-3826	196	19	,	,	PUNCT
ejpam-3826	196	20	van	van	PROPN
ejpam-3826	196	21	thom	thom	PROPN
ejpam-3826	196	22	do	do	VERB
ejpam-3826	196	23	,	,	PUNCT
ejpam-3826	196	24	et	et	PROPN
ejpam-3826	196	25	al	al	PROPN
ejpam-3826	196	26	.	.	PROPN
ejpam-3826	197	1	free	free	ADJ
ejpam-3826	197	2	vibration	vibration	NOUN
ejpam-3826	197	3	analysis	analysis	NOUN
ejpam-3826	197	4	of	of	ADP
ejpam-3826	197	5	functionally	functionally	ADV
ejpam-3826	197	6	graded	grade	VERB
ejpam-3826	197	7	shells	shell	NOUN
ejpam-3826	197	8	using	use	VERB
ejpam-3826	197	9	an	an	DET
ejpam-3826	197	10	edge	edge	NOUN
ejpam-3826	197	11	-	-	PUNCT
ejpam-3826	197	12	based	base	VERB
ejpam-3826	197	13	smoothed	smooth	VERB
ejpam-3826	197	14	finite	finite	ADJ
ejpam-3826	197	15	element	element	NOUN
ejpam-3826	197	16	method	method	NOUN
ejpam-3826	197	17	.	.	PUNCT
ejpam-3826	198	1	symmetry	symmetry	NOUN
ejpam-3826	198	2	,	,	PUNCT
ejpam-3826	198	3	11(5):684	11(5):684	NUM
ejpam-3826	198	4	,	,	PUNCT
ejpam-3826	198	5	2019	2019	NUM
ejpam-3826	198	6	.	.	PUNCT
ejpam-3826	199	1	[	[	X
ejpam-3826	199	2	16	16	NUM
ejpam-3826	199	3	]	]	X
ejpam-3826	199	4	s	s	VERB
ejpam-3826	199	5	pradyumna	pradyumna	NOUN
ejpam-3826	199	6	and	and	CCONJ
ejpam-3826	199	7	jn	jn	PROPN
ejpam-3826	199	8	bandyopadhyay	bandyopadhyay	PROPN
ejpam-3826	199	9	.	.	PUNCT
ejpam-3826	200	1	free	free	ADJ
ejpam-3826	200	2	vibration	vibration	NOUN
ejpam-3826	200	3	analysis	analysis	NOUN
ejpam-3826	200	4	of	of	ADP
ejpam-3826	200	5	functionally	functionally	ADV
ejpam-3826	200	6	graded	grade	VERB
ejpam-3826	200	7	curved	curved	ADJ
ejpam-3826	200	8	panels	panel	NOUN
ejpam-3826	200	9	using	use	VERB
ejpam-3826	200	10	a	a	DET
ejpam-3826	200	11	higher	high	ADJ
ejpam-3826	200	12	-	-	PUNCT
ejpam-3826	200	13	order	order	NOUN
ejpam-3826	200	14	finite	finite	NOUN
ejpam-3826	200	15	element	element	NOUN
ejpam-3826	200	16	formulation	formulation	NOUN
ejpam-3826	200	17	.	.	PUNCT
ejpam-3826	201	1	journal	journal	NOUN
ejpam-3826	201	2	of	of	ADP
ejpam-3826	201	3	sound	sound	NOUN
ejpam-3826	201	4	and	and	CCONJ
ejpam-3826	201	5	vibration	vibration	NOUN
ejpam-3826	201	6	,	,	PUNCT
ejpam-3826	201	7	318(1	318(1	PROPN
ejpam-3826	201	8	-	-	SYM
ejpam-3826	201	9	2):176–192	2):176–192	NUM
ejpam-3826	201	10	,	,	PUNCT
ejpam-3826	201	11	2008	2008	NUM
ejpam-3826	201	12	.	.	PUNCT
ejpam-3826	202	1	references	reference	NOUN
ejpam-3826	202	2	778	778	NUM
ejpam-3826	203	1	[	[	X
ejpam-3826	203	2	17	17	NUM
ejpam-3826	203	3	]	]	X
ejpam-3826	203	4	jn	jn	PROPN
ejpam-3826	203	5	reddy	reddy	PROPN
ejpam-3826	203	6	and	and	CCONJ
ejpam-3826	203	7	zhen	zhen	PROPN
ejpam-3826	203	8	-	-	PUNCT
ejpam-3826	203	9	qiang	qiang	PROPN
ejpam-3826	203	10	cheng	cheng	PROPN
ejpam-3826	203	11	.	.	PUNCT
ejpam-3826	204	1	frequency	frequency	NOUN
ejpam-3826	204	2	correspondence	correspondence	NOUN
ejpam-3826	204	3	between	between	ADP
ejpam-3826	204	4	membranes	membrane	NOUN
ejpam-3826	204	5	and	and	CCONJ
ejpam-3826	204	6	functionally	functionally	ADV
ejpam-3826	204	7	graded	grade	VERB
ejpam-3826	204	8	spherical	spherical	ADJ
ejpam-3826	204	9	shallow	shallow	ADJ
ejpam-3826	204	10	shells	shell	NOUN
ejpam-3826	204	11	of	of	ADP
ejpam-3826	204	12	polygonal	polygonal	ADJ
ejpam-3826	204	13	planform	planform	NOUN
ejpam-3826	204	14	.	.	PUNCT
ejpam-3826	205	1	international	international	ADJ
ejpam-3826	205	2	journal	journal	PROPN
ejpam-3826	205	3	of	of	ADP
ejpam-3826	205	4	mechanical	mechanical	ADJ
ejpam-3826	205	5	sciences	science	NOUN
ejpam-3826	205	6	,	,	PUNCT
ejpam-3826	205	7	44(5):967–985	44(5):967–985	NUM
ejpam-3826	205	8	,	,	PUNCT
ejpam-3826	205	9	2002	2002	NUM
ejpam-3826	205	10	.	.	PUNCT
ejpam-3826	206	1	[	[	X
ejpam-3826	206	2	18	18	NUM
ejpam-3826	206	3	]	]	X
ejpam-3826	206	4	cmc	cmc	NOUN
ejpam-3826	206	5	roque	roque	PROPN
ejpam-3826	206	6	,	,	PUNCT
ejpam-3826	206	7	ajm	ajm	PROPN
ejpam-3826	206	8	ferreira	ferreira	PROPN
ejpam-3826	206	9	,	,	PUNCT
ejpam-3826	206	10	and	and	CCONJ
ejpam-3826	206	11	rmn	rmn	PROPN
ejpam-3826	206	12	jorge	jorge	PROPN
ejpam-3826	206	13	.	.	PUNCT
ejpam-3826	207	1	free	free	ADJ
ejpam-3826	207	2	vibration	vibration	NOUN
ejpam-3826	207	3	analysis	analysis	NOUN
ejpam-3826	207	4	of	of	ADP
ejpam-3826	207	5	composite	composite	ADJ
ejpam-3826	207	6	and	and	CCONJ
ejpam-3826	207	7	sandwich	sandwich	NOUN
ejpam-3826	207	8	plates	plate	NOUN
ejpam-3826	207	9	by	by	ADP
ejpam-3826	207	10	a	a	DET
ejpam-3826	207	11	trigonometric	trigonometric	ADJ
ejpam-3826	207	12	layerwise	layerwise	NOUN
ejpam-3826	207	13	deformation	deformation	NOUN
ejpam-3826	207	14	theory	theory	NOUN
ejpam-3826	207	15	and	and	CCONJ
ejpam-3826	207	16	radial	radial	ADJ
ejpam-3826	207	17	basis	basis	NOUN
ejpam-3826	207	18	functions	function	NOUN
ejpam-3826	207	19	.	.	PUNCT
ejpam-3826	208	1	journal	journal	NOUN
ejpam-3826	208	2	of	of	ADP
ejpam-3826	208	3	sandwich	sandwich	NOUN
ejpam-3826	208	4	structures	structure	NOUN
ejpam-3826	208	5	&	&	CCONJ
ejpam-3826	208	6	materials	material	NOUN
ejpam-3826	208	7	,	,	PUNCT
ejpam-3826	208	8	8(6):497–515	8(6):497–515	NUM
ejpam-3826	208	9	,	,	PUNCT
ejpam-3826	208	10	2006	2006	NUM
ejpam-3826	208	11	.	.	PUNCT
ejpam-3826	209	1	[	[	X
ejpam-3826	209	2	19	19	NUM
ejpam-3826	209	3	]	]	X
ejpam-3826	209	4	scott	scott	PROPN
ejpam-3826	209	5	a	a	DET
ejpam-3826	209	6	sarra	sarra	PROPN
ejpam-3826	209	7	.	.	PUNCT
ejpam-3826	210	1	a	a	DET
ejpam-3826	210	2	numerical	numerical	ADJ
ejpam-3826	210	3	study	study	NOUN
ejpam-3826	210	4	of	of	ADP
ejpam-3826	210	5	the	the	DET
ejpam-3826	210	6	accuracy	accuracy	NOUN
ejpam-3826	210	7	and	and	CCONJ
ejpam-3826	210	8	stability	stability	NOUN
ejpam-3826	210	9	of	of	ADP
ejpam-3826	210	10	symmetric	symmetric	ADJ
ejpam-3826	210	11	and	and	CCONJ
ejpam-3826	210	12	asymmetric	asymmetric	PROPN
ejpam-3826	210	13	rbf	rbf	PROPN
ejpam-3826	210	14	collocation	collocation	NOUN
ejpam-3826	210	15	methods	method	NOUN
ejpam-3826	210	16	for	for	ADP
ejpam-3826	210	17	hyperbolic	hyperbolic	ADJ
ejpam-3826	210	18	pdes	pde	NOUN
ejpam-3826	210	19	.	.	PUNCT
ejpam-3826	211	1	numerical	numerical	ADJ
ejpam-3826	211	2	methods	method	NOUN
ejpam-3826	211	3	for	for	ADP
ejpam-3826	211	4	partial	partial	ADJ
ejpam-3826	211	5	differential	differential	ADJ
ejpam-3826	211	6	equations	equation	NOUN
ejpam-3826	211	7	:	:	PUNCT
ejpam-3826	211	8	an	an	DET
ejpam-3826	211	9	international	international	ADJ
ejpam-3826	211	10	journal	journal	NOUN
ejpam-3826	211	11	,	,	PUNCT
ejpam-3826	211	12	24(2):670–686	24(2):670–686	NUM
ejpam-3826	211	13	,	,	PUNCT
ejpam-3826	211	14	2008	2008	NUM
ejpam-3826	211	15	.	.	PUNCT
ejpam-3826	212	1	[	[	X
ejpam-3826	212	2	20	20	NUM
ejpam-3826	212	3	]	]	X
ejpam-3826	212	4	scott	scott	PROPN
ejpam-3826	212	5	a	a	DET
ejpam-3826	212	6	sarra	sarra	PROPN
ejpam-3826	212	7	.	.	PUNCT
ejpam-3826	213	1	the	the	DET
ejpam-3826	213	2	matlab	matlab	PROPN
ejpam-3826	213	3	radial	radial	ADJ
ejpam-3826	213	4	basis	basis	NOUN
ejpam-3826	213	5	function	function	NOUN
ejpam-3826	213	6	toolbox	toolbox	NOUN
ejpam-3826	213	7	.	.	PUNCT
ejpam-3826	214	1	journal	journal	PROPN
ejpam-3826	214	2	of	of	ADP
ejpam-3826	214	3	open	open	ADJ
ejpam-3826	214	4	research	research	NOUN
ejpam-3826	214	5	software	software	NOUN
ejpam-3826	214	6	,	,	PUNCT
ejpam-3826	214	7	5(1	5(1	NUM
ejpam-3826	214	8	)	)	PUNCT
ejpam-3826	214	9	,	,	PUNCT
ejpam-3826	214	10	2017	2017	NUM
ejpam-3826	214	11	.	.	PUNCT
ejpam-3826	215	1	[	[	X
ejpam-3826	215	2	21	21	NUM
ejpam-3826	215	3	]	]	PUNCT
ejpam-3826	215	4	erasmo	erasmo	PROPN
ejpam-3826	215	5	viola	viola	PROPN
ejpam-3826	215	6	and	and	CCONJ
ejpam-3826	215	7	francesco	francesco	PROPN
ejpam-3826	215	8	tornabene	tornabene	NOUN
ejpam-3826	215	9	.	.	PUNCT
ejpam-3826	216	1	free	free	ADJ
ejpam-3826	216	2	vibrations	vibration	NOUN
ejpam-3826	216	3	of	of	ADP
ejpam-3826	216	4	three	three	NUM
ejpam-3826	216	5	parameter	parameter	NOUN
ejpam-3826	216	6	functionally	functionally	ADV
ejpam-3826	216	7	graded	grade	VERB
ejpam-3826	216	8	parabolic	parabolic	ADJ
ejpam-3826	216	9	panels	panel	NOUN
ejpam-3826	216	10	of	of	ADP
ejpam-3826	216	11	revolution	revolution	NOUN
ejpam-3826	216	12	.	.	PUNCT
ejpam-3826	217	1	mechanics	mechanic	NOUN
ejpam-3826	217	2	research	research	NOUN
ejpam-3826	217	3	communications	communication	NOUN
ejpam-3826	217	4	,	,	PUNCT
ejpam-3826	217	5	36(5):587–594	36(5):587–594	PROPN
ejpam-3826	217	6	,	,	PUNCT
ejpam-3826	217	7	2009	2009	NUM
ejpam-3826	217	8	.	.	PUNCT
ejpam-3826	218	1	[	[	X
ejpam-3826	218	2	22	22	NUM
ejpam-3826	218	3	]	]	PUNCT
ejpam-3826	218	4	song	song	NOUN
ejpam-3826	218	5	xiang	xiang	PROPN
ejpam-3826	218	6	,	,	PUNCT
ejpam-3826	218	7	hong	hong	PROPN
ejpam-3826	218	8	shi	shi	PROPN
ejpam-3826	218	9	,	,	PUNCT
ejpam-3826	218	10	ke	ke	PROPN
ejpam-3826	218	11	-	-	PUNCT
ejpam-3826	218	12	ming	ming	PROPN
ejpam-3826	218	13	wang	wang	PROPN
ejpam-3826	218	14	,	,	PUNCT
ejpam-3826	218	15	yan	yan	PROPN
ejpam-3826	218	16	-	-	PUNCT
ejpam-3826	218	17	ting	ting	PROPN
ejpam-3826	218	18	ai	ai	VERB
ejpam-3826	218	19	,	,	PUNCT
ejpam-3826	218	20	and	and	CCONJ
ejpam-3826	218	21	yun	yun	PROPN
ejpam-3826	218	22	-	-	PUNCT
ejpam-3826	218	23	dong	dong	PROPN
ejpam-3826	218	24	sha	sha	PROPN
ejpam-3826	218	25	.	.	PUNCT
ejpam-3826	219	1	thin	thin	ADJ
ejpam-3826	219	2	plate	plate	PROPN
ejpam-3826	219	3	spline	spline	NOUN
ejpam-3826	219	4	radial	radial	ADJ
ejpam-3826	219	5	basis	basis	NOUN
ejpam-3826	219	6	functions	function	NOUN
ejpam-3826	219	7	for	for	ADP
ejpam-3826	219	8	vibration	vibration	NOUN
ejpam-3826	219	9	analysis	analysis	NOUN
ejpam-3826	219	10	of	of	ADP
ejpam-3826	219	11	clamped	clamp	VERB
ejpam-3826	219	12	laminated	laminate	VERB
ejpam-3826	219	13	composite	composite	ADJ
ejpam-3826	219	14	plates	plate	NOUN
ejpam-3826	219	15	.	.	PUNCT
ejpam-3826	220	1	european	european	PROPN
ejpam-3826	220	2	journal	journal	PROPN
ejpam-3826	220	3	of	of	ADP
ejpam-3826	220	4	mechanics	mechanic	NOUN
ejpam-3826	220	5	-	-	PUNCT
ejpam-3826	220	6	a	a	DET
ejpam-3826	220	7	/	/	SYM
ejpam-3826	220	8	solids	solid	NOUN
ejpam-3826	220	9	,	,	PUNCT
ejpam-3826	220	10	29(5):844–850	29(5):844–850	NUM
ejpam-3826	220	11	,	,	PUNCT
ejpam-3826	220	12	2010	2010	NUM
ejpam-3826	220	13	.	.	PUNCT
ejpam-3826	221	1	[	[	X
ejpam-3826	221	2	23	23	NUM
ejpam-3826	221	3	]	]	X
ejpam-3826	221	4	j	j	PROPN
ejpam-3826	221	5	yang	yang	PROPN
ejpam-3826	221	6	and	and	CCONJ
ejpam-3826	221	7	hui	hui	PROPN
ejpam-3826	221	8	-	-	PUNCT
ejpam-3826	221	9	shen	shen	PROPN
ejpam-3826	221	10	shen	shen	PROPN
ejpam-3826	221	11	.	.	PUNCT
ejpam-3826	222	1	free	free	ADJ
ejpam-3826	222	2	vibration	vibration	NOUN
ejpam-3826	222	3	and	and	CCONJ
ejpam-3826	222	4	parametric	parametric	ADJ
ejpam-3826	222	5	resonance	resonance	NOUN
ejpam-3826	222	6	of	of	ADP
ejpam-3826	222	7	shear	shear	NOUN
ejpam-3826	222	8	deformable	deformable	ADJ
ejpam-3826	222	9	functionally	functionally	ADV
ejpam-3826	222	10	graded	grade	VERB
ejpam-3826	222	11	cylindrical	cylindrical	ADJ
ejpam-3826	222	12	panels	panel	NOUN
ejpam-3826	222	13	.	.	PUNCT
ejpam-3826	223	1	journal	journal	PROPN
ejpam-3826	223	2	of	of	ADP
ejpam-3826	223	3	sound	sound	NOUN
ejpam-3826	223	4	and	and	CCONJ
ejpam-3826	223	5	vibration	vibration	NOUN
ejpam-3826	223	6	,	,	PUNCT
ejpam-3826	223	7	261(5):871–893	261(5):871–893	NUM
ejpam-3826	223	8	,	,	PUNCT
ejpam-3826	223	9	2003	2003	NUM
ejpam-3826	223	10	.	.	PUNCT
ejpam-3826	224	1	[	[	X
ejpam-3826	224	2	24	24	NUM
ejpam-3826	224	3	]	]	PUNCT
ejpam-3826	224	4	suranon	suranon	NOUN
ejpam-3826	224	5	yensiri	yensiri	NOUN
ejpam-3826	224	6	and	and	CCONJ
ejpam-3826	224	7	ruth	ruth	PROPN
ejpam-3826	224	8	j	j	PROPN
ejpam-3826	224	9	skulkhu	skulkhu	PROPN
ejpam-3826	224	10	.	.	PUNCT
ejpam-3826	225	1	an	an	DET
ejpam-3826	225	2	investigation	investigation	NOUN
ejpam-3826	225	3	of	of	ADP
ejpam-3826	225	4	radial	radial	ADJ
ejpam-3826	225	5	basis	basis	NOUN
ejpam-3826	225	6	functionfinite	functionfinite	ADJ
ejpam-3826	225	7	difference	difference	NOUN
ejpam-3826	225	8	(	(	PUNCT
ejpam-3826	225	9	rbf	rbf	PROPN
ejpam-3826	225	10	-	-	PUNCT
ejpam-3826	225	11	fd	fd	PROPN
ejpam-3826	225	12	)	)	PUNCT
ejpam-3826	225	13	method	method	NOUN
ejpam-3826	225	14	for	for	ADP
ejpam-3826	225	15	numerical	numerical	ADJ
ejpam-3826	225	16	solution	solution	NOUN
ejpam-3826	225	17	of	of	ADP
ejpam-3826	225	18	elliptic	elliptic	ADJ
ejpam-3826	225	19	partial	partial	ADJ
ejpam-3826	225	20	differential	differential	NOUN
ejpam-3826	225	21	equations	equation	NOUN
ejpam-3826	225	22	.	.	PUNCT
ejpam-3826	226	1	mathematics	mathematic	NOUN
ejpam-3826	226	2	,	,	PUNCT
ejpam-3826	226	3	5(4):54	5(4):54	NUM
ejpam-3826	226	4	,	,	PUNCT
ejpam-3826	226	5	2017	2017	NUM
ejpam-3826	226	6	.	.	PUNCT
ejpam-3826	227	1	[	[	X
ejpam-3826	227	2	25	25	NUM
ejpam-3826	227	3	]	]	X
ejpam-3826	227	4	m	m	VERB
ejpam-3826	227	5	zannon	zannon	NOUN
ejpam-3826	227	6	and	and	CCONJ
ejpam-3826	227	7	m	m	PROPN
ejpam-3826	227	8	qatu	qatu	NOUN
ejpam-3826	227	9	.	.	PUNCT
ejpam-3826	228	1	free	free	ADJ
ejpam-3826	228	2	vibration	vibration	NOUN
ejpam-3826	228	3	analysis	analysis	NOUN
ejpam-3826	228	4	of	of	ADP
ejpam-3826	228	5	thick	thick	ADJ
ejpam-3826	228	6	cylindrical	cylindrical	ADJ
ejpam-3826	228	7	composite	composite	ADJ
ejpam-3826	228	8	shells	shell	NOUN
ejpam-3826	228	9	using	use	VERB
ejpam-3826	228	10	higher	high	ADJ
ejpam-3826	228	11	order	order	NOUN
ejpam-3826	228	12	shear	shear	ADJ
ejpam-3826	228	13	deformation	deformation	NOUN
ejpam-3826	228	14	theory	theory	NOUN
ejpam-3826	228	15	.	.	PUNCT
ejpam-3826	229	1	international	international	ADJ
ejpam-3826	229	2	journal	journal	PROPN
ejpam-3826	229	3	of	of	ADP
ejpam-3826	229	4	engineering	engineering	NOUN
ejpam-3826	229	5	research	research	NOUN
ejpam-3826	229	6	and	and	CCONJ
ejpam-3826	229	7	management	management	NOUN
ejpam-3826	229	8	(	(	PUNCT
ejpam-3826	229	9	ijerm	ijerm	PROPN
ejpam-3826	229	10	)	)	PUNCT
ejpam-3826	229	11	,	,	PUNCT
ejpam-3826	229	12	1(7	1(7	NUM
ejpam-3826	229	13	)	)	PUNCT
ejpam-3826	229	14	,	,	PUNCT
ejpam-3826	229	15	2014	2014	NUM
ejpam-3826	229	16	.	.	PUNCT
ejpam-3826	230	1	[	[	X
ejpam-3826	230	2	26	26	NUM
ejpam-3826	230	3	]	]	X
ejpam-3826	230	4	m	m	VERB
ejpam-3826	230	5	zannon	zannon	NOUN
ejpam-3826	230	6	and	and	CCONJ
ejpam-3826	230	7	m	m	PROPN
ejpam-3826	230	8	qatu	qatu	NOUN
ejpam-3826	230	9	.	.	PUNCT
ejpam-3826	231	1	mathematical	mathematical	ADJ
ejpam-3826	231	2	modeling	modeling	NOUN
ejpam-3826	231	3	of	of	ADP
ejpam-3826	231	4	transverse	transverse	ADJ
ejpam-3826	231	5	shear	shear	NOUN
ejpam-3826	231	6	deformation	deformation	NOUN
ejpam-3826	231	7	thick	thick	ADJ
ejpam-3826	231	8	shell	shell	PROPN
ejpam-3826	231	9	theory	theory	NOUN
ejpam-3826	231	10	.	.	PUNCT
ejpam-3826	232	1	international	international	ADJ
ejpam-3826	232	2	journal	journal	PROPN
ejpam-3826	232	3	of	of	ADP
ejpam-3826	232	4	engineering	engineering	NOUN
ejpam-3826	232	5	research	research	NOUN
ejpam-3826	232	6	and	and	CCONJ
ejpam-3826	232	7	management	management	NOUN
ejpam-3826	232	8	(	(	PUNCT
ejpam-3826	232	9	ijerm	ijerm	PROPN
ejpam-3826	232	10	)	)	PUNCT
ejpam-3826	232	11	,	,	PUNCT
ejpam-3826	232	12	1(7	1(7	NUM
ejpam-3826	232	13	)	)	PUNCT
ejpam-3826	232	14	,	,	PUNCT
ejpam-3826	232	15	2014	2014	NUM
ejpam-3826	232	16	.	.	PUNCT
ejpam-3826	233	1	[	[	X
ejpam-3826	233	2	27	27	NUM
ejpam-3826	233	3	]	]	X
ejpam-3826	233	4	mohammad	mohammad	PROPN
ejpam-3826	233	5	zannon	zannon	PROPN
ejpam-3826	233	6	,	,	PUNCT
ejpam-3826	233	7	basma	basma	PROPN
ejpam-3826	233	8	al	al	PROPN
ejpam-3826	233	9	-	-	PUNCT
ejpam-3826	233	10	shutnawi	shutnawi	PROPN
ejpam-3826	233	11	,	,	PUNCT
ejpam-3826	233	12	hussam	hussam	PROPN
ejpam-3826	233	13	alrabaiah	alrabaiah	PROPN
ejpam-3826	233	14	,	,	PUNCT
ejpam-3826	233	15	et	et	PROPN
ejpam-3826	233	16	al	al	PROPN
ejpam-3826	233	17	.	.	PUNCT
ejpam-3826	233	18	theories	theory	NOUN
ejpam-3826	233	19	and	and	CCONJ
ejpam-3826	233	20	analyses	analyse	VERB
ejpam-3826	233	21	thick	thick	ADJ
ejpam-3826	233	22	hyperbolic	hyperbolic	ADJ
ejpam-3826	233	23	paraboloidal	paraboloidal	ADJ
ejpam-3826	233	24	composite	composite	ADJ
ejpam-3826	233	25	shells	shell	NOUN
ejpam-3826	233	26	.	.	PUNCT
ejpam-3826	234	1	american	american	ADJ
ejpam-3826	234	2	journal	journal	PROPN
ejpam-3826	234	3	of	of	ADP
ejpam-3826	234	4	computational	computational	ADJ
ejpam-3826	234	5	mathematics	mathematic	NOUN
ejpam-3826	234	6	,	,	PUNCT
ejpam-3826	234	7	5(02):80	5(02):80	NUM
ejpam-3826	234	8	,	,	PUNCT
ejpam-3826	234	9	2015	2015	NUM
ejpam-3826	234	10	.	.	PUNCT
ejpam-3826	235	1	[	[	X
ejpam-3826	235	2	28	28	NUM
ejpam-3826	235	3	]	]	X
ejpam-3826	235	4	mohammad	mohammad	PROPN
ejpam-3826	235	5	zannon	zannon	PROPN
ejpam-3826	235	6	and	and	CCONJ
ejpam-3826	235	7	hussam	hussam	PROPN
ejpam-3826	235	8	alrabaiah	alrabaiah	PROPN
ejpam-3826	235	9	.	.	PUNCT
ejpam-3826	236	1	mathematical	mathematical	ADJ
ejpam-3826	236	2	formulation	formulation	NOUN
ejpam-3826	236	3	of	of	ADP
ejpam-3826	236	4	laminated	laminated	ADJ
ejpam-3826	236	5	composite	composite	ADJ
ejpam-3826	236	6	thick	thick	ADJ
ejpam-3826	236	7	conical	conical	NOUN
ejpam-3826	236	8	shells	shell	NOUN
ejpam-3826	236	9	.	.	PUNCT
ejpam-3826	237	1	journal	journal	NOUN
ejpam-3826	237	2	of	of	ADP
ejpam-3826	237	3	mathematics	mathematics	PROPN
ejpam-3826	237	4	research	research	NOUN
ejpam-3826	237	5	,	,	PUNCT
ejpam-3826	237	6	8(4	8(4	NUM
ejpam-3826	237	7	)	)	PUNCT
ejpam-3826	237	8	,	,	PUNCT
ejpam-3826	237	9	2016	2016	NUM
ejpam-3826	237	10	.	.	PUNCT
ejpam-3826	238	1	[	[	X
ejpam-3826	238	2	29	29	NUM
ejpam-3826	238	3	]	]	X
ejpam-3826	238	4	mohammad	mohammad	PROPN
ejpam-3826	238	5	zannon	zannon	PROPN
ejpam-3826	238	6	et	et	PROPN
ejpam-3826	238	7	al	al	PROPN
ejpam-3826	238	8	.	.	PROPN
ejpam-3826	238	9	fundamental	fundamental	ADJ
ejpam-3826	238	10	frequency	frequency	NOUN
ejpam-3826	238	11	of	of	ADP
ejpam-3826	238	12	laminated	laminate	VERB
ejpam-3826	238	13	composite	composite	ADJ
ejpam-3826	238	14	thick	thick	ADJ
ejpam-3826	238	15	spherical	spherical	ADJ
ejpam-3826	238	16	shells	shell	NOUN
ejpam-3826	238	17	.	.	PUNCT
ejpam-3826	239	1	journal	journal	NOUN
ejpam-3826	239	2	of	of	ADP
ejpam-3826	239	3	mathematics	mathematics	PROPN
ejpam-3826	239	4	research	research	NOUN
ejpam-3826	239	5	,	,	PUNCT
ejpam-3826	239	6	11(1):57–63	11(1):57–63	NUM
ejpam-3826	239	7	,	,	PUNCT
ejpam-3826	239	8	2019	2019	NUM
ejpam-3826	239	9	.	.	PUNCT