id	sid	tid	token	lemma	pos
american_scientific_journal-2430	1	1	151	151	NUM
american_scientific_journal-2430	1	2	american	american	ADJ
american_scientific_journal-2430	1	3	scientific	scientific	ADJ
american_scientific_journal-2430	1	4	research	research	NOUN
american_scientific_journal-2430	1	5	journal	journal	NOUN
american_scientific_journal-2430	1	6	for	for	ADP
american_scientific_journal-2430	1	7	engineering	engineering	NOUN
american_scientific_journal-2430	1	8	,	,	PUNCT
american_scientific_journal-2430	1	9	technology	technology	NOUN
american_scientific_journal-2430	1	10	,	,	PUNCT
american_scientific_journal-2430	1	11	and	and	CCONJ
american_scientific_journal-2430	1	12	sciences	science	NOUN
american_scientific_journal-2430	1	13	(	(	PUNCT
american_scientific_journal-2430	1	14	asrjets	asrjet	NOUN
american_scientific_journal-2430	1	15	)	)	PUNCT
american_scientific_journal-2430	1	16	issn	issn	PROPN
american_scientific_journal-2430	1	17	(	(	PUNCT
american_scientific_journal-2430	1	18	print	print	NOUN
american_scientific_journal-2430	1	19	)	)	PUNCT
american_scientific_journal-2430	1	20	2313	2313	NUM
american_scientific_journal-2430	1	21	-	-	SYM
american_scientific_journal-2430	1	22	4410	4410	NUM
american_scientific_journal-2430	1	23	,	,	PUNCT
american_scientific_journal-2430	1	24	issn	issn	PROPN
american_scientific_journal-2430	1	25	(	(	PUNCT
american_scientific_journal-2430	1	26	online	online	ADJ
american_scientific_journal-2430	1	27	)	)	PUNCT
american_scientific_journal-2430	1	28	2313	2313	NUM
american_scientific_journal-2430	1	29	-	-	SYM
american_scientific_journal-2430	1	30	4402	4402	NUM
american_scientific_journal-2430	1	31	©	©	PROPN
american_scientific_journal-2430	1	32	global	global	ADJ
american_scientific_journal-2430	1	33	society	society	NOUN
american_scientific_journal-2430	1	34	of	of	ADP
american_scientific_journal-2430	1	35	scientific	scientific	ADJ
american_scientific_journal-2430	1	36	research	research	NOUN
american_scientific_journal-2430	1	37	and	and	CCONJ
american_scientific_journal-2430	1	38	researchers	researcher	NOUN
american_scientific_journal-2430	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	VERB
american_scientific_journal-2430	1	40	the	the	DET
american_scientific_journal-2430	1	41	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	1	42	spline	spline	PROPN
american_scientific_journal-2430	1	43	finite	finite	PROPN
american_scientific_journal-2430	1	44	strip	strip	PROPN
american_scientific_journal-2430	1	45	technique	technique	NOUN
american_scientific_journal-2430	1	46	in	in	ADP
american_scientific_journal-2430	1	47	the	the	DET
american_scientific_journal-2430	1	48	linear	linear	ADJ
american_scientific_journal-2430	1	49	analysis	analysis	NOUN
american_scientific_journal-2430	1	50	of	of	ADP
american_scientific_journal-2430	1	51	ribbed	rib	VERB
american_scientific_journal-2430	1	52	bridge	bridge	NOUN
american_scientific_journal-2430	1	53	decks	deck	NOUN
american_scientific_journal-2430	1	54	laith	laith	PROPN
american_scientific_journal-2430	1	55	khalid	khalid	PROPN
american_scientific_journal-2430	1	56	al	al	PROPN
american_scientific_journal-2430	1	57	-	-	PUNCT
american_scientific_journal-2430	1	58	hadithya	hadithya	PROPN
american_scientific_journal-2430	1	59	*	*	NUM
american_scientific_journal-2430	1	60	,	,	PUNCT
american_scientific_journal-2430	1	61	imad	imad	PROPN
american_scientific_journal-2430	1	62	abdulwahid	abdulwahid	PROPN
american_scientific_journal-2430	1	63	alib	alib	PROPN
american_scientific_journal-2430	1	64	aasst	aasst	NOUN
american_scientific_journal-2430	1	65	.	.	PUNCT
american_scientific_journal-2430	2	1	prof	prof	PROPN
american_scientific_journal-2430	2	2	.	.	PUNCT
american_scientific_journal-2430	3	1	dr	dr	PROPN
american_scientific_journal-2430	3	2	.	.	PROPN
american_scientific_journal-2430	3	3	civil	civil	ADJ
american_scientific_journal-2430	3	4	engrng	engrng	NOUN
american_scientific_journal-2430	3	5	.	.	PUNCT
american_scientific_journal-2430	4	1	dpt	dpt	PROPN
american_scientific_journal-2430	4	2	.	.	PUNCT
american_scientific_journal-2430	5	1	/al	/al	PROPN
american_scientific_journal-2430	5	2	-	-	PUNCT
american_scientific_journal-2430	5	3	nahrain	nahrain	PROPN
american_scientific_journal-2430	5	4	university	university	NOUN
american_scientific_journal-2430	5	5	,	,	PUNCT
american_scientific_journal-2430	5	6	baghdad	baghdad	PROPN
american_scientific_journal-2430	5	7	,	,	PUNCT
american_scientific_journal-2430	5	8	iraq	iraq	PROPN
american_scientific_journal-2430	5	9	bstate	bstate	NOUN
american_scientific_journal-2430	5	10	company	company	NOUN
american_scientific_journal-2430	5	11	for	for	ADP
american_scientific_journal-2430	5	12	grain	grain	NOUN
american_scientific_journal-2430	5	13	board	board	NOUN
american_scientific_journal-2430	5	14	,	,	PUNCT
american_scientific_journal-2430	5	15	baghdad	baghdad	PROPN
american_scientific_journal-2430	5	16	,	,	PUNCT
american_scientific_journal-2430	5	17	iraq	iraq	PROPN
american_scientific_journal-2430	5	18	aemail	aemail	NOUN
american_scientific_journal-2430	5	19	:	:	PUNCT
american_scientific_journal-2430	5	20	lthadithy@yahoo.com	lthadithy@yahoo.com	X
american_scientific_journal-2430	5	21	bemail	bemail	NOUN
american_scientific_journal-2430	5	22	:	:	PUNCT
american_scientific_journal-2430	5	23	emad_aldlyme@yahoo.com	emad_aldlyme@yahoo.com	X
american_scientific_journal-2430	5	24	abstract	abstract	ADJ
american_scientific_journal-2430	5	25	this	this	DET
american_scientific_journal-2430	5	26	study	study	NOUN
american_scientific_journal-2430	5	27	presents	present	VERB
american_scientific_journal-2430	5	28	an	an	DET
american_scientific_journal-2430	5	29	efficient	efficient	ADJ
american_scientific_journal-2430	5	30	simplification	simplification	NOUN
american_scientific_journal-2430	5	31	on	on	ADP
american_scientific_journal-2430	5	32	the	the	DET
american_scientific_journal-2430	5	33	utility	utility	NOUN
american_scientific_journal-2430	5	34	of	of	ADP
american_scientific_journal-2430	5	35	the	the	DET
american_scientific_journal-2430	5	36	spline	spline	PROPN
american_scientific_journal-2430	5	37	finite	finite	PROPN
american_scientific_journal-2430	5	38	strip	strip	PROPN
american_scientific_journal-2430	5	39	method	method	NOUN
american_scientific_journal-2430	5	40	sfsm	sfsm	INTJ
american_scientific_journal-2430	5	41	in	in	ADP
american_scientific_journal-2430	5	42	the	the	DET
american_scientific_journal-2430	5	43	analysis	analysis	NOUN
american_scientific_journal-2430	5	44	of	of	ADP
american_scientific_journal-2430	5	45	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	5	46	and	and	CCONJ
american_scientific_journal-2430	5	47	ribbed	rib	VERB
american_scientific_journal-2430	5	48	bridge	bridge	NOUN
american_scientific_journal-2430	5	49	decks	deck	NOUN
american_scientific_journal-2430	5	50	by	by	ADP
american_scientific_journal-2430	5	51	conducting	conduct	VERB
american_scientific_journal-2430	5	52	two	two	NUM
american_scientific_journal-2430	5	53	stages	stage	NOUN
american_scientific_journal-2430	5	54	of	of	ADP
american_scientific_journal-2430	5	55	analogy	analogy	NOUN
american_scientific_journal-2430	5	56	.	.	PUNCT
american_scientific_journal-2430	6	1	the	the	DET
american_scientific_journal-2430	6	2	actual	actual	ADJ
american_scientific_journal-2430	6	3	ribbed	rib	VERB
american_scientific_journal-2430	6	4	bridge	bridge	NOUN
american_scientific_journal-2430	6	5	deck	deck	NOUN
american_scientific_journal-2430	6	6	(	(	PUNCT
american_scientific_journal-2430	6	7	practically	practically	ADV
american_scientific_journal-2430	6	8	subjected	subject	VERB
american_scientific_journal-2430	6	9	to	to	ADP
american_scientific_journal-2430	6	10	combined	combined	ADJ
american_scientific_journal-2430	6	11	plate	plate	NOUN
american_scientific_journal-2430	6	12	-	-	PUNCT
american_scientific_journal-2430	6	13	bending	bend	VERB
american_scientific_journal-2430	6	14	and	and	CCONJ
american_scientific_journal-2430	6	15	plane	plane	NOUN
american_scientific_journal-2430	6	16	stress	stress	NOUN
american_scientific_journal-2430	6	17	actions	action	NOUN
american_scientific_journal-2430	6	18	)	)	PUNCT
american_scientific_journal-2430	6	19	is	be	AUX
american_scientific_journal-2430	6	20	,	,	PUNCT
american_scientific_journal-2430	6	21	first	first	ADV
american_scientific_journal-2430	6	22	,	,	PUNCT
american_scientific_journal-2430	6	23	converted	convert	VERB
american_scientific_journal-2430	6	24	into	into	ADP
american_scientific_journal-2430	6	25	and	and	CCONJ
american_scientific_journal-2430	6	26	equivalent	equivalent	ADJ
american_scientific_journal-2430	6	27	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	6	28	plate	plate	NOUN
american_scientific_journal-2430	6	29	,	,	PUNCT
american_scientific_journal-2430	6	30	which	which	PRON
american_scientific_journal-2430	6	31	is	be	AUX
american_scientific_journal-2430	6	32	subsequently	subsequently	ADV
american_scientific_journal-2430	6	33	divided	divide	VERB
american_scientific_journal-2430	6	34	into	into	ADP
american_scientific_journal-2430	6	35	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	6	36	finite	finite	ADJ
american_scientific_journal-2430	6	37	strips	strip	NOUN
american_scientific_journal-2430	6	38	submitted	submit	VERB
american_scientific_journal-2430	6	39	to	to	ADP
american_scientific_journal-2430	6	40	platebending	platebende	VERB
american_scientific_journal-2430	6	41	action	action	NOUN
american_scientific_journal-2430	6	42	only	only	ADV
american_scientific_journal-2430	6	43	with	with	ADP
american_scientific_journal-2430	6	44	the	the	DET
american_scientific_journal-2430	6	45	use	use	NOUN
american_scientific_journal-2430	6	46	of	of	ADP
american_scientific_journal-2430	6	47	b3	b3	NOUN
american_scientific_journal-2430	6	48	-	-	PUNCT
american_scientific_journal-2430	6	49	spline	spline	NOUN
american_scientific_journal-2430	6	50	function	function	NOUN
american_scientific_journal-2430	6	51	to	to	PART
american_scientific_journal-2430	6	52	express	express	VERB
american_scientific_journal-2430	6	53	the	the	DET
american_scientific_journal-2430	6	54	displacement	displacement	ADJ
american_scientific_journal-2430	6	55	function	function	NOUN
american_scientific_journal-2430	6	56	in	in	ADP
american_scientific_journal-2430	6	57	the	the	DET
american_scientific_journal-2430	6	58	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	6	59	direction	direction	NOUN
american_scientific_journal-2430	6	60	of	of	ADP
american_scientific_journal-2430	6	61	strips	strip	NOUN
american_scientific_journal-2430	6	62	.	.	PUNCT
american_scientific_journal-2430	7	1	a	a	DET
american_scientific_journal-2430	7	2	programming	programming	NOUN
american_scientific_journal-2430	7	3	code	code	NOUN
american_scientific_journal-2430	7	4	using	use	VERB
american_scientific_journal-2430	7	5	matlab	matlab	PROPN
american_scientific_journal-2430	7	6	computer	computer	NOUN
american_scientific_journal-2430	7	7	package	package	NOUN
american_scientific_journal-2430	7	8	is	be	AUX
american_scientific_journal-2430	7	9	constructed	construct	VERB
american_scientific_journal-2430	7	10	for	for	ADP
american_scientific_journal-2430	7	11	the	the	DET
american_scientific_journal-2430	7	12	analysis	analysis	NOUN
american_scientific_journal-2430	7	13	of	of	ADP
american_scientific_journal-2430	7	14	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	7	15	plates	plate	NOUN
american_scientific_journal-2430	7	16	by	by	ADP
american_scientific_journal-2430	7	17	the	the	DET
american_scientific_journal-2430	7	18	spline	spline	PROPN
american_scientific_journal-2430	7	19	finite	finite	PROPN
american_scientific_journal-2430	7	20	strip	strip	PROPN
american_scientific_journal-2430	7	21	method	method	NOUN
american_scientific_journal-2430	7	22	,	,	PUNCT
american_scientific_journal-2430	7	23	where	where	SCONJ
american_scientific_journal-2430	7	24	the	the	DET
american_scientific_journal-2430	7	25	fewest	few	ADJ
american_scientific_journal-2430	7	26	admissible	admissible	ADJ
american_scientific_journal-2430	7	27	number	number	NOUN
american_scientific_journal-2430	7	28	of	of	ADP
american_scientific_journal-2430	7	29	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	7	30	sections	section	NOUN
american_scientific_journal-2430	7	31	and	and	CCONJ
american_scientific_journal-2430	7	32	local	local	ADJ
american_scientific_journal-2430	7	33	b3	b3	PROPN
american_scientific_journal-2430	7	34	-	-	PUNCT
american_scientific_journal-2430	7	35	spline	spline	NOUN
american_scientific_journal-2430	7	36	functions	function	NOUN
american_scientific_journal-2430	7	37	has	have	AUX
american_scientific_journal-2430	7	38	been	be	AUX
american_scientific_journal-2430	7	39	employed	employ	VERB
american_scientific_journal-2430	7	40	to	to	PART
american_scientific_journal-2430	7	41	check	check	VERB
american_scientific_journal-2430	7	42	its	its	PRON
american_scientific_journal-2430	7	43	efficiency	efficiency	NOUN
american_scientific_journal-2430	7	44	.	.	PUNCT
american_scientific_journal-2430	8	1	when	when	SCONJ
american_scientific_journal-2430	8	2	applied	apply	VERB
american_scientific_journal-2430	8	3	to	to	ADP
american_scientific_journal-2430	8	4	a	a	DET
american_scientific_journal-2430	8	5	ribbed	rib	VERB
american_scientific_journal-2430	8	6	rc	rc	PROPN
american_scientific_journal-2430	8	7	bridge	bridge	PROPN
american_scientific_journal-2430	8	8	deck	deck	NOUN
american_scientific_journal-2430	8	9	of	of	ADP
american_scientific_journal-2430	8	10	four	four	NUM
american_scientific_journal-2430	8	11	transverse	transverse	NOUN
american_scientific_journal-2430	8	12	diaphragms	diaphragm	NOUN
american_scientific_journal-2430	8	13	,	,	PUNCT
american_scientific_journal-2430	8	14	the	the	DET
american_scientific_journal-2430	8	15	present	present	ADJ
american_scientific_journal-2430	8	16	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	8	17	spline	spline	PROPN
american_scientific_journal-2430	8	18	finite	finite	PROPN
american_scientific_journal-2430	8	19	strip	strip	PROPN
american_scientific_journal-2430	8	20	technique	technique	NOUN
american_scientific_journal-2430	8	21	has	have	AUX
american_scientific_journal-2430	8	22	proved	prove	VERB
american_scientific_journal-2430	8	23	its	its	PRON
american_scientific_journal-2430	8	24	reliability	reliability	NOUN
american_scientific_journal-2430	8	25	in	in	ADP
american_scientific_journal-2430	8	26	the	the	DET
american_scientific_journal-2430	8	27	analysis	analysis	NOUN
american_scientific_journal-2430	8	28	of	of	ADP
american_scientific_journal-2430	8	29	such	such	ADJ
american_scientific_journal-2430	8	30	decking	deck	VERB
american_scientific_journal-2430	8	31	system	system	NOUN
american_scientific_journal-2430	8	32	where	where	SCONJ
american_scientific_journal-2430	8	33	very	very	ADV
american_scientific_journal-2430	8	34	high	high	ADJ
american_scientific_journal-2430	8	35	degrees	degree	NOUN
american_scientific_journal-2430	8	36	of	of	ADP
american_scientific_journal-2430	8	37	coincidence	coincidence	NOUN
american_scientific_journal-2430	8	38	of	of	ADP
american_scientific_journal-2430	8	39	its	its	PRON
american_scientific_journal-2430	8	40	results	result	NOUN
american_scientific_journal-2430	8	41	with	with	ADP
american_scientific_journal-2430	8	42	those	those	PRON
american_scientific_journal-2430	8	43	of	of	ADP
american_scientific_journal-2430	8	44	the	the	DET
american_scientific_journal-2430	8	45	finely	finely	ADV
american_scientific_journal-2430	8	46	meshed	mesh	VERB
american_scientific_journal-2430	8	47	sophisticated	sophisticated	ADJ
american_scientific_journal-2430	8	48	finite	finite	ADJ
american_scientific_journal-2430	8	49	element	element	NOUN
american_scientific_journal-2430	8	50	method	method	NOUN
american_scientific_journal-2430	8	51	attaining	attain	VERB
american_scientific_journal-2430	8	52	98.4	98.4	NUM
american_scientific_journal-2430	8	53	,	,	PUNCT
american_scientific_journal-2430	8	54	86.9	86.9	NUM
american_scientific_journal-2430	8	55	and	and	CCONJ
american_scientific_journal-2430	8	56	95.6	95.6	NUM
american_scientific_journal-2430	8	57	for	for	ADP
american_scientific_journal-2430	8	58	midspan	midspan	ADJ
american_scientific_journal-2430	8	59	deflection	deflection	NOUN
american_scientific_journal-2430	8	60	and	and	CCONJ
american_scientific_journal-2430	8	61	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	8	62	and	and	CCONJ
american_scientific_journal-2430	8	63	transvers	transver	NOUN
american_scientific_journal-2430	8	64	bending	bend	VERB
american_scientific_journal-2430	8	65	moments	moment	NOUN
american_scientific_journal-2430	8	66	,	,	PUNCT
american_scientific_journal-2430	8	67	respectively	respectively	ADV
american_scientific_journal-2430	8	68	,	,	PUNCT
american_scientific_journal-2430	8	69	have	have	AUX
american_scientific_journal-2430	8	70	been	be	AUX
american_scientific_journal-2430	8	71	obtained	obtain	VERB
american_scientific_journal-2430	8	72	.	.	PUNCT
american_scientific_journal-2430	9	1	keywords	keyword	NOUN
american_scientific_journal-2430	9	2	:	:	PUNCT
american_scientific_journal-2430	9	3	spline	spline	PROPN
american_scientific_journal-2430	9	4	finite	finite	PROPN
american_scientific_journal-2430	9	5	strip	strip	PROPN
american_scientific_journal-2430	9	6	method	method	NOUN
american_scientific_journal-2430	9	7	(	(	PUNCT
american_scientific_journal-2430	9	8	sfsm);geometrical	sfsm);geometrical	ADJ
american_scientific_journal-2430	9	9	orthotropy	orthotropy	NOUN
american_scientific_journal-2430	9	10	;	;	PUNCT
american_scientific_journal-2430	9	11	ribbed	ribbed	ADJ
american_scientific_journal-2430	9	12	bridge	bridge	NOUN
american_scientific_journal-2430	9	13	decks	deck	NOUN
american_scientific_journal-2430	9	14	;	;	PUNCT
american_scientific_journal-2430	9	15	plate	plate	NOUN
american_scientific_journal-2430	9	16	-	-	PUNCT
american_scientific_journal-2430	9	17	bending	bend	VERB
american_scientific_journal-2430	9	18	action	action	NOUN
american_scientific_journal-2430	9	19	;	;	PUNCT
american_scientific_journal-2430	9	20	b3	b3	NOUN
american_scientific_journal-2430	9	21	-	-	PUNCT
american_scientific_journal-2430	9	22	spline	spline	NOUN
american_scientific_journal-2430	9	23	function	function	NOUN
american_scientific_journal-2430	9	24	.	.	PUNCT
american_scientific_journal-2430	10	1	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-2430	11	1	*	*	PUNCT
american_scientific_journal-2430	11	2	corresponding	correspond	VERB
american_scientific_journal-2430	11	3	author	author	NOUN
american_scientific_journal-2430	11	4	.	.	PUNCT
american_scientific_journal-2430	12	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-2430	12	2	american	american	PROPN
american_scientific_journal-2430	12	3	scientific	scientific	PROPN
american_scientific_journal-2430	12	4	research	research	NOUN
american_scientific_journal-2430	12	5	journal	journal	NOUN
american_scientific_journal-2430	12	6	for	for	ADP
american_scientific_journal-2430	12	7	engineering	engineering	NOUN
american_scientific_journal-2430	12	8	,	,	PUNCT
american_scientific_journal-2430	12	9	technology	technology	NOUN
american_scientific_journal-2430	12	10	,	,	PUNCT
american_scientific_journal-2430	12	11	and	and	CCONJ
american_scientific_journal-2430	12	12	sciences	science	NOUN
american_scientific_journal-2430	12	13	(	(	PUNCT
american_scientific_journal-2430	12	14	asrjets	asrjet	NOUN
american_scientific_journal-2430	12	15	)	)	PUNCT
american_scientific_journal-2430	12	16	(	(	PUNCT
american_scientific_journal-2430	12	17	2016	2016	NUM
american_scientific_journal-2430	12	18	)	)	PUNCT
american_scientific_journal-2430	12	19	volume	volume	NOUN
american_scientific_journal-2430	12	20	26	26	NUM
american_scientific_journal-2430	12	21	,	,	PUNCT
american_scientific_journal-2430	12	22	no	no	DET
american_scientific_journal-2430	12	23	4	4	NUM
american_scientific_journal-2430	12	24	,	,	PUNCT
american_scientific_journal-2430	12	25	pp	pp	ADV
american_scientific_journal-2430	12	26	151	151	NUM
american_scientific_journal-2430	12	27	-	-	SYM
american_scientific_journal-2430	12	28	168	168	NUM
american_scientific_journal-2430	12	29	152	152	NUM
american_scientific_journal-2430	12	30	1	1	NUM
american_scientific_journal-2430	12	31	.	.	PUNCT
american_scientific_journal-2430	13	1	introduction	introduction	NOUN
american_scientific_journal-2430	13	2	the	the	DET
american_scientific_journal-2430	13	3	analysis	analysis	NOUN
american_scientific_journal-2430	13	4	of	of	ADP
american_scientific_journal-2430	13	5	bridge	bridge	NOUN
american_scientific_journal-2430	13	6	decks	deck	NOUN
american_scientific_journal-2430	13	7	can	can	AUX
american_scientific_journal-2430	13	8	be	be	AUX
american_scientific_journal-2430	13	9	carried	carry	VERB
american_scientific_journal-2430	13	10	out	out	ADP
american_scientific_journal-2430	13	11	by	by	ADP
american_scientific_journal-2430	13	12	several	several	ADJ
american_scientific_journal-2430	13	13	methods	method	NOUN
american_scientific_journal-2430	13	14	.	.	PUNCT
american_scientific_journal-2430	14	1	the	the	DET
american_scientific_journal-2430	14	2	finite	finite	PROPN
american_scientific_journal-2430	14	3	strip	strip	PROPN
american_scientific_journal-2430	14	4	method	method	NOUN
american_scientific_journal-2430	14	5	(	(	PUNCT
american_scientific_journal-2430	14	6	fsm	fsm	PROPN
american_scientific_journal-2430	14	7	)	)	PUNCT
american_scientific_journal-2430	14	8	is	be	AUX
american_scientific_journal-2430	14	9	one	one	NUM
american_scientific_journal-2430	14	10	of	of	ADP
american_scientific_journal-2430	14	11	those	those	DET
american_scientific_journal-2430	14	12	methods	method	NOUN
american_scientific_journal-2430	14	13	.	.	PUNCT
american_scientific_journal-2430	15	1	the	the	DET
american_scientific_journal-2430	15	2	first	first	ADJ
american_scientific_journal-2430	15	3	use	use	NOUN
american_scientific_journal-2430	15	4	of	of	ADP
american_scientific_journal-2430	15	5	the	the	DET
american_scientific_journal-2430	15	6	finite	finite	PROPN
american_scientific_journal-2430	15	7	strip	strip	PROPN
american_scientific_journal-2430	15	8	method	method	NOUN
american_scientific_journal-2430	15	9	was	be	AUX
american_scientific_journal-2430	15	10	in	in	ADP
american_scientific_journal-2430	15	11	1968	1968	NUM
american_scientific_journal-2430	15	12	by	by	ADP
american_scientific_journal-2430	15	13	cheung[1	cheung[1	NOUN
american_scientific_journal-2430	15	14	]	]	PUNCT
american_scientific_journal-2430	15	15	for	for	ADP
american_scientific_journal-2430	15	16	analysis	analysis	NOUN
american_scientific_journal-2430	15	17	of	of	ADP
american_scientific_journal-2430	15	18	rectangular	rectangular	ADJ
american_scientific_journal-2430	15	19	plates	plate	NOUN
american_scientific_journal-2430	15	20	with	with	ADP
american_scientific_journal-2430	15	21	two	two	NUM
american_scientific_journal-2430	15	22	opposite	opposite	ADJ
american_scientific_journal-2430	15	23	simply	simply	ADV
american_scientific_journal-2430	15	24	supported	support	VERB
american_scientific_journal-2430	15	25	ends	end	NOUN
american_scientific_journal-2430	15	26	.	.	PUNCT
american_scientific_journal-2430	16	1	in	in	ADP
american_scientific_journal-2430	16	2	this	this	DET
american_scientific_journal-2430	16	3	method	method	NOUN
american_scientific_journal-2430	16	4	the	the	DET
american_scientific_journal-2430	16	5	structure	structure	NOUN
american_scientific_journal-2430	16	6	is	be	AUX
american_scientific_journal-2430	16	7	divided	divide	VERB
american_scientific_journal-2430	16	8	into	into	ADP
american_scientific_journal-2430	16	9	a	a	DET
american_scientific_journal-2430	16	10	number	number	NOUN
american_scientific_journal-2430	16	11	of	of	ADP
american_scientific_journal-2430	16	12	strips	strip	NOUN
american_scientific_journal-2430	16	13	by	by	ADP
american_scientific_journal-2430	16	14	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	16	15	lines	line	NOUN
american_scientific_journal-2430	16	16	named	name	VERB
american_scientific_journal-2430	16	17	nodal	nodal	NOUN
american_scientific_journal-2430	16	18	lines	line	NOUN
american_scientific_journal-2430	16	19	.	.	PUNCT
american_scientific_journal-2430	17	1	it	it	PRON
american_scientific_journal-2430	17	2	is	be	AUX
american_scientific_journal-2430	17	3	a	a	DET
american_scientific_journal-2430	17	4	special	special	ADJ
american_scientific_journal-2430	17	5	form	form	NOUN
american_scientific_journal-2430	17	6	of	of	ADP
american_scientific_journal-2430	17	7	the	the	DET
american_scientific_journal-2430	17	8	finite	finite	PROPN
american_scientific_journal-2430	17	9	element	element	NOUN
american_scientific_journal-2430	17	10	method	method	NOUN
american_scientific_journal-2430	17	11	(	(	PUNCT
american_scientific_journal-2430	17	12	fem	fem	NOUN
american_scientific_journal-2430	17	13	)	)	PUNCT
american_scientific_journal-2430	17	14	where	where	SCONJ
american_scientific_journal-2430	17	15	,	,	PUNCT
american_scientific_journal-2430	17	16	both	both	DET
american_scientific_journal-2430	17	17	methods	method	NOUN
american_scientific_journal-2430	17	18	use	use	VERB
american_scientific_journal-2430	17	19	the	the	DET
american_scientific_journal-2430	17	20	displacement	displacement	ADJ
american_scientific_journal-2430	17	21	approach	approach	NOUN
american_scientific_journal-2430	17	22	,	,	PUNCT
american_scientific_journal-2430	17	23	while	while	SCONJ
american_scientific_journal-2430	17	24	the	the	DET
american_scientific_journal-2430	17	25	(	(	PUNCT
american_scientific_journal-2430	17	26	fem	fem	NOUN
american_scientific_journal-2430	17	27	)	)	PUNCT
american_scientific_journal-2430	17	28	uses	use	VERB
american_scientific_journal-2430	17	29	polynomial	polynomial	ADJ
american_scientific_journal-2430	17	30	displacement	displacement	NOUN
american_scientific_journal-2430	17	31	functions	function	NOUN
american_scientific_journal-2430	17	32	in	in	ADP
american_scientific_journal-2430	17	33	all	all	DET
american_scientific_journal-2430	17	34	directions	direction	NOUN
american_scientific_journal-2430	17	35	,	,	PUNCT
american_scientific_journal-2430	17	36	the	the	DET
american_scientific_journal-2430	17	37	(	(	PUNCT
american_scientific_journal-2430	17	38	fsm	fsm	PROPN
american_scientific_journal-2430	17	39	)	)	PUNCT
american_scientific_journal-2430	17	40	uses	use	VERB
american_scientific_journal-2430	17	41	a	a	DET
american_scientific_journal-2430	17	42	simple	simple	ADJ
american_scientific_journal-2430	17	43	polynomial	polynomial	NOUN
american_scientific_journal-2430	17	44	in	in	ADP
american_scientific_journal-2430	17	45	the	the	DET
american_scientific_journal-2430	17	46	transverse	transverse	NOUN
american_scientific_journal-2430	17	47	direction	direction	NOUN
american_scientific_journal-2430	17	48	and	and	CCONJ
american_scientific_journal-2430	17	49	continuously	continuously	ADV
american_scientific_journal-2430	17	50	differential	differential	VERB
american_scientific_journal-2430	17	51	smooth	smooth	ADJ
american_scientific_journal-2430	17	52	series	series	NOUN
american_scientific_journal-2430	17	53	in	in	ADP
american_scientific_journal-2430	17	54	the	the	DET
american_scientific_journal-2430	17	55	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	17	56	(	(	PUNCT
american_scientific_journal-2430	17	57	major	major	ADJ
american_scientific_journal-2430	17	58	)	)	PUNCT
american_scientific_journal-2430	17	59	direction	direction	NOUN
american_scientific_journal-2430	17	60	where	where	SCONJ
american_scientific_journal-2430	17	61	their	their	PRON
american_scientific_journal-2430	17	62	a	a	DET
american_scientific_journal-2430	17	63	product	product	NOUN
american_scientific_journal-2430	17	64	together	together	ADV
american_scientific_journal-2430	17	65	gives	give	VERB
american_scientific_journal-2430	17	66	the	the	DET
american_scientific_journal-2430	17	67	displacement	displacement	ADJ
american_scientific_journal-2430	17	68	function	function	NOUN
american_scientific_journal-2430	17	69	of	of	ADP
american_scientific_journal-2430	17	70	the	the	DET
american_scientific_journal-2430	17	71	strip	strip	NOUN
american_scientific_journal-2430	17	72	.	.	PUNCT
american_scientific_journal-2430	18	1	2	2	X
american_scientific_journal-2430	18	2	.	.	NUM
american_scientific_journal-2430	18	3	basic	basic	ADJ
american_scientific_journal-2430	18	4	concept	concept	NOUN
american_scientific_journal-2430	18	5	and	and	CCONJ
american_scientific_journal-2430	18	6	development	development	NOUN
american_scientific_journal-2430	18	7	the	the	DET
american_scientific_journal-2430	18	8	spline	spline	PROPN
american_scientific_journal-2430	18	9	finite	finite	PROPN
american_scientific_journal-2430	18	10	strip	strip	PROPN
american_scientific_journal-2430	18	11	method	method	NOUN
american_scientific_journal-2430	18	12	(	(	PUNCT
american_scientific_journal-2430	18	13	sfsm	sfsm	ADJ
american_scientific_journal-2430	18	14	)	)	PUNCT
american_scientific_journal-2430	18	15	figure	figure	NOUN
american_scientific_journal-2430	18	16	1	1	NUM
american_scientific_journal-2430	18	17	:	:	PUNCT
american_scientific_journal-2430	18	18	development	development	NOUN
american_scientific_journal-2430	18	19	and	and	CCONJ
american_scientific_journal-2430	18	20	derivation	derivation	NOUN
american_scientific_journal-2430	18	21	of	of	ADP
american_scientific_journal-2430	18	22	the	the	DET
american_scientific_journal-2430	18	23	basic	basic	ADJ
american_scientific_journal-2430	18	24	concept	concept	NOUN
american_scientific_journal-2430	18	25	of	of	ADP
american_scientific_journal-2430	18	26	the	the	DET
american_scientific_journal-2430	18	27	spline	spline	PROPN
american_scientific_journal-2430	18	28	finite	finite	PROPN
american_scientific_journal-2430	18	29	strip	strip	PROPN
american_scientific_journal-2430	18	30	method	method	NOUN
american_scientific_journal-2430	18	31	[	[	X
american_scientific_journal-2430	18	32	4	4	X
american_scientific_journal-2430	18	33	]	]	X
american_scientific_journal-2430	18	34	the	the	DET
american_scientific_journal-2430	18	35	conventional	conventional	ADJ
american_scientific_journal-2430	18	36	finite	finite	ADJ
american_scientific_journal-2430	18	37	strip	strip	PROPN
american_scientific_journal-2430	18	38	method	method	NOUN
american_scientific_journal-2430	18	39	,	,	PUNCT
american_scientific_journal-2430	18	40	introduced	introduce	VERB
american_scientific_journal-2430	18	41	by	by	ADP
american_scientific_journal-2430	18	42	cheung	cheung	PROPN
american_scientific_journal-2430	18	43	,	,	PUNCT
american_scientific_journal-2430	18	44	depends	depend	VERB
american_scientific_journal-2430	18	45	on	on	ADP
american_scientific_journal-2430	18	46	using	use	VERB
american_scientific_journal-2430	18	47	free	free	ADJ
american_scientific_journal-2430	18	48	vibration	vibration	NOUN
american_scientific_journal-2430	18	49	function	function	NOUN
american_scientific_journal-2430	18	50	series	series	NOUN
american_scientific_journal-2430	18	51	of	of	ADP
american_scientific_journal-2430	18	52	a	a	DET
american_scientific_journal-2430	18	53	beam	beam	NOUN
american_scientific_journal-2430	18	54	as	as	ADP
american_scientific_journal-2430	18	55	a	a	DET
american_scientific_journal-2430	18	56	basic	basic	ADJ
american_scientific_journal-2430	18	57	function	function	NOUN
american_scientific_journal-2430	18	58	in	in	ADP
american_scientific_journal-2430	18	59	the	the	DET
american_scientific_journal-2430	18	60	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	18	61	direction	direction	NOUN
american_scientific_journal-2430	18	62	,	,	PUNCT
american_scientific_journal-2430	18	63	and	and	CCONJ
american_scientific_journal-2430	18	64	osculated	osculated	ADJ
american_scientific_journal-2430	18	65	polynomials	polynomial	NOUN
american_scientific_journal-2430	18	66	as	as	ADP
american_scientific_journal-2430	18	67	the	the	DET
american_scientific_journal-2430	18	68	interpolation	interpolation	NOUN
american_scientific_journal-2430	18	69	function	function	NOUN
american_scientific_journal-2430	18	70	in	in	ADP
american_scientific_journal-2430	18	71	the	the	DET
american_scientific_journal-2430	18	72	transvers	transver	NOUN
american_scientific_journal-2430	18	73	direction	direction	NOUN
american_scientific_journal-2430	18	74	[	[	X
american_scientific_journal-2430	18	75	2	2	X
american_scientific_journal-2430	18	76	]	]	PUNCT
american_scientific_journal-2430	18	77	the	the	DET
american_scientific_journal-2430	18	78	beam	beam	NOUN
american_scientific_journal-2430	18	79	vibration	vibration	NOUN
american_scientific_journal-2430	18	80	function	function	NOUN
american_scientific_journal-2430	18	81	is	be	AUX
american_scientific_journal-2430	18	82	an	an	DET
american_scientific_journal-2430	18	83	infinite	infinite	ADJ
american_scientific_journal-2430	18	84	series	series	NOUN
american_scientific_journal-2430	18	85	which	which	PRON
american_scientific_journal-2430	18	86	can	can	AUX
american_scientific_journal-2430	18	87	not	not	PART
american_scientific_journal-2430	18	88	be	be	AUX
american_scientific_journal-2430	18	89	obtained	obtain	VERB
american_scientific_journal-2430	18	90	by	by	ADP
american_scientific_journal-2430	18	91	calculation	calculation	NOUN
american_scientific_journal-2430	18	92	so	so	SCONJ
american_scientific_journal-2430	18	93	that	that	SCONJ
american_scientific_journal-2430	18	94	numerous	numerous	ADJ
american_scientific_journal-2430	18	95	numerical	numerical	ADJ
american_scientific_journal-2430	18	96	experiments	experiment	NOUN
american_scientific_journal-2430	18	97	must	must	AUX
american_scientific_journal-2430	18	98	be	be	AUX
american_scientific_journal-2430	18	99	done	do	VERB
american_scientific_journal-2430	18	100	to	to	PART
american_scientific_journal-2430	18	101	find	find	VERB
american_scientific_journal-2430	18	102	a	a	DET
american_scientific_journal-2430	18	103	suitable	suitable	ADJ
american_scientific_journal-2430	18	104	and	and	CCONJ
american_scientific_journal-2430	18	105	acceptable	acceptable	ADJ
american_scientific_journal-2430	18	106	truncation	truncation	NOUN
american_scientific_journal-2430	18	107	of	of	ADP
american_scientific_journal-2430	18	108	the	the	DET
american_scientific_journal-2430	18	109	series	series	NOUN
american_scientific_journal-2430	18	110	for	for	ADP
american_scientific_journal-2430	18	111	all	all	DET
american_scientific_journal-2430	18	112	loading	loading	NOUN
american_scientific_journal-2430	18	113	cases	case	NOUN
american_scientific_journal-2430	18	114	.	.	PUNCT
american_scientific_journal-2430	19	1	moreover	moreover	ADV
american_scientific_journal-2430	19	2	,	,	PUNCT
american_scientific_journal-2430	19	3	the	the	DET
american_scientific_journal-2430	19	4	infinite	infinite	ADJ
american_scientific_journal-2430	19	5	continuity	continuity	NOUN
american_scientific_journal-2430	19	6	of	of	ADP
american_scientific_journal-2430	19	7	the	the	DET
american_scientific_journal-2430	19	8	free	free	ADJ
american_scientific_journal-2430	19	9	vibration	vibration	NOUN
american_scientific_journal-2430	19	10	functions	function	NOUN
american_scientific_journal-2430	19	11	,	,	PUNCT
american_scientific_journal-2430	19	12	hinders	hinder	VERB
american_scientific_journal-2430	19	13	its	its	PRON
american_scientific_journal-2430	19	14	further	further	ADJ
american_scientific_journal-2430	19	15	development	development	NOUN
american_scientific_journal-2430	19	16	,	,	PUNCT
american_scientific_journal-2430	19	17	hence	hence	ADV
american_scientific_journal-2430	19	18	the	the	DET
american_scientific_journal-2430	19	19	introduction	introduction	NOUN
american_scientific_journal-2430	19	20	of	of	ADP
american_scientific_journal-2430	19	21	the	the	DET
american_scientific_journal-2430	19	22	highly	highly	ADV
american_scientific_journal-2430	19	23	continuous	continuous	ADJ
american_scientific_journal-2430	19	24	vibration	vibration	NOUN
american_scientific_journal-2430	19	25	functions	function	NOUN
american_scientific_journal-2430	19	26	will	will	AUX
american_scientific_journal-2430	19	27	result	result	VERB
american_scientific_journal-2430	19	28	in	in	ADP
american_scientific_journal-2430	19	29	a	a	DET
american_scientific_journal-2430	19	30	poor	poor	ADJ
american_scientific_journal-2430	19	31	approximation	approximation	NOUN
american_scientific_journal-2430	19	32	if	if	SCONJ
american_scientific_journal-2430	19	33	the	the	DET
american_scientific_journal-2430	19	34	series	series	NOUN
american_scientific_journal-2430	19	35	is	be	AUX
american_scientific_journal-2430	19	36	truncated	truncate	VERB
american_scientific_journal-2430	19	37	too	too	ADV
american_scientific_journal-2430	19	38	early	early	ADV
american_scientific_journal-2430	19	39	or	or	CCONJ
american_scientific_journal-2430	19	40	yielding	yield	VERB
american_scientific_journal-2430	19	41	an	an	DET
american_scientific_journal-2430	19	42	oscillated	oscillated	ADJ
american_scientific_journal-2430	19	43	value	value	NOUN
american_scientific_journal-2430	19	44	,	,	PUNCT
american_scientific_journal-2430	19	45	when	when	SCONJ
american_scientific_journal-2430	19	46	more	more	ADJ
american_scientific_journal-2430	19	47	terms	term	NOUN
american_scientific_journal-2430	19	48	are	be	AUX
american_scientific_journal-2430	19	49	taken	take	VERB
american_scientific_journal-2430	19	50	,	,	PUNCT
american_scientific_journal-2430	19	51	ritzgalerkin	ritzgalerkin	NOUN
american_scientific_journal-2430	19	52	approach	approach	NOUN
american_scientific_journal-2430	19	53	solution	solution	NOUN
american_scientific_journal-2430	19	54	represented	represent	VERB
american_scientific_journal-2430	19	55	by	by	ADP
american_scientific_journal-2430	19	56	trial	trial	NOUN
american_scientific_journal-2430	19	57	function	function	NOUN
american_scientific_journal-2430	19	58	satisfying	satisfy	VERB
american_scientific_journal-2430	19	59	all	all	DET
american_scientific_journal-2430	19	60	boundary	boundary	ADJ
american_scientific_journal-2430	19	61	condition	condition	NOUN
american_scientific_journal-2430	19	62	.	.	PUNCT
american_scientific_journal-2430	20	1	variational	variational	ADJ
american_scientific_journal-2430	20	2	method	method	PROPN
american_scientific_journal-2430	20	3	finite	finite	PROPN
american_scientific_journal-2430	20	4	element	element	NOUN
american_scientific_journal-2430	20	5	approach	approach	NOUN
american_scientific_journal-2430	20	6	solution	solution	NOUN
american_scientific_journal-2430	20	7	represented	represent	VERB
american_scientific_journal-2430	20	8	by	by	ADP
american_scientific_journal-2430	20	9	piecewise	piecewise	NOUN
american_scientific_journal-2430	20	10	osculated	osculate	VERB
american_scientific_journal-2430	20	11	polynomials	polynomial	NOUN
american_scientific_journal-2430	20	12	.	.	PUNCT
american_scientific_journal-2430	21	1	finite	finite	PROPN
american_scientific_journal-2430	21	2	strip	strip	PROPN
american_scientific_journal-2430	21	3	method	method	NOUN
american_scientific_journal-2430	21	4	solution	solution	NOUN
american_scientific_journal-2430	21	5	represented	represent	VERB
american_scientific_journal-2430	21	6	by	by	ADP
american_scientific_journal-2430	21	7	a	a	DET
american_scientific_journal-2430	21	8	product	product	NOUN
american_scientific_journal-2430	21	9	of	of	ADP
american_scientific_journal-2430	21	10	beam	beam	ADJ
american_scientific_journal-2430	21	11	vibration	vibration	NOUN
american_scientific_journal-2430	21	12	function	function	NOUN
american_scientific_journal-2430	21	13	,	,	PUNCT
american_scientific_journal-2430	21	14	satisfying	satisfy	VERB
american_scientific_journal-2430	21	15	the	the	DET
american_scientific_journal-2430	21	16	boundary	boundary	ADJ
american_scientific_journal-2430	21	17	condition	condition	NOUN
american_scientific_journal-2430	21	18	in	in	ADP
american_scientific_journal-2430	21	19	that	that	DET
american_scientific_journal-2430	21	20	direction	direction	NOUN
american_scientific_journal-2430	21	21	,	,	PUNCT
american_scientific_journal-2430	21	22	and	and	CCONJ
american_scientific_journal-2430	21	23	the	the	DET
american_scientific_journal-2430	21	24	piecewise	piecewise	NOUN
american_scientific_journal-2430	21	25	osculated	osculate	VERB
american_scientific_journal-2430	21	26	polynomials	polynomial	NOUN
american_scientific_journal-2430	21	27	in	in	ADP
american_scientific_journal-2430	21	28	another	another	DET
american_scientific_journal-2430	21	29	direction	direction	NOUN
american_scientific_journal-2430	21	30	.	.	PUNCT
american_scientific_journal-2430	22	1	spline	spline	PROPN
american_scientific_journal-2430	22	2	finite	finite	PROPN
american_scientific_journal-2430	22	3	strip	strip	PROPN
american_scientific_journal-2430	22	4	method	method	NOUN
american_scientific_journal-2430	22	5	solution	solution	NOUN
american_scientific_journal-2430	22	6	represented	represent	VERB
american_scientific_journal-2430	22	7	by	by	ADP
american_scientific_journal-2430	22	8	a	a	DET
american_scientific_journal-2430	22	9	product	product	NOUN
american_scientific_journal-2430	22	10	of	of	ADP
american_scientific_journal-2430	22	11	b3spline	b3spline	ADJ
american_scientific_journal-2430	22	12	function	function	NOUN
american_scientific_journal-2430	22	13	,	,	PUNCT
american_scientific_journal-2430	22	14	satisfying	satisfy	VERB
american_scientific_journal-2430	22	15	both	both	CCONJ
american_scientific_journal-2430	22	16	boundary	boundary	ADJ
american_scientific_journal-2430	22	17	and	and	CCONJ
american_scientific_journal-2430	22	18	interior	interior	ADJ
american_scientific_journal-2430	22	19	conditions	condition	NOUN
american_scientific_journal-2430	22	20	in	in	ADP
american_scientific_journal-2430	22	21	that	that	DET
american_scientific_journal-2430	22	22	direction	direction	NOUN
american_scientific_journal-2430	22	23	and	and	CCONJ
american_scientific_journal-2430	22	24	the	the	DET
american_scientific_journal-2430	22	25	piecewise	piecewise	NOUN
american_scientific_journal-2430	22	26	osculated	osculate	VERB
american_scientific_journal-2430	22	27	polynomials	polynomial	NOUN
american_scientific_journal-2430	22	28	in	in	ADP
american_scientific_journal-2430	22	29	another	another	DET
american_scientific_journal-2430	22	30	direction	direction	NOUN
american_scientific_journal-2430	22	31	.	.	PUNCT
american_scientific_journal-2430	23	1	spline	spline	PROPN
american_scientific_journal-2430	23	2	american	american	PROPN
american_scientific_journal-2430	23	3	scientific	scientific	PROPN
american_scientific_journal-2430	23	4	research	research	PROPN
american_scientific_journal-2430	23	5	journal	journal	NOUN
american_scientific_journal-2430	23	6	for	for	ADP
american_scientific_journal-2430	23	7	engineering	engineering	NOUN
american_scientific_journal-2430	23	8	,	,	PUNCT
american_scientific_journal-2430	23	9	technology	technology	NOUN
american_scientific_journal-2430	23	10	,	,	PUNCT
american_scientific_journal-2430	23	11	and	and	CCONJ
american_scientific_journal-2430	23	12	sciences	science	NOUN
american_scientific_journal-2430	23	13	(	(	PUNCT
american_scientific_journal-2430	23	14	asrjets	asrjet	NOUN
american_scientific_journal-2430	23	15	)	)	PUNCT
american_scientific_journal-2430	23	16	(	(	PUNCT
american_scientific_journal-2430	23	17	2016	2016	NUM
american_scientific_journal-2430	23	18	)	)	PUNCT
american_scientific_journal-2430	23	19	volume	volume	NOUN
american_scientific_journal-2430	23	20	26	26	NUM
american_scientific_journal-2430	23	21	,	,	PUNCT
american_scientific_journal-2430	23	22	no	no	DET
american_scientific_journal-2430	23	23	4	4	NUM
american_scientific_journal-2430	23	24	,	,	PUNCT
american_scientific_journal-2430	23	25	pp	pp	ADV
american_scientific_journal-2430	23	26	151	151	NUM
american_scientific_journal-2430	23	27	-	-	SYM
american_scientific_journal-2430	23	28	168	168	NUM
american_scientific_journal-2430	23	29	153	153	NUM
american_scientific_journal-2430	23	30	gibb	gibb	PROPN
american_scientific_journal-2430	23	31	's	's	PART
american_scientific_journal-2430	23	32	phenomenon	phenomenon	NOUN
american_scientific_journal-2430	23	33	will	will	AUX
american_scientific_journal-2430	23	34	be	be	AUX
american_scientific_journal-2430	23	35	valid	valid	ADJ
american_scientific_journal-2430	23	36	.	.	PUNCT
american_scientific_journal-2430	24	1	on	on	ADP
american_scientific_journal-2430	24	2	the	the	DET
american_scientific_journal-2430	24	3	other	other	ADJ
american_scientific_journal-2430	24	4	hand	hand	NOUN
american_scientific_journal-2430	24	5	“	"	PUNCT
american_scientific_journal-2430	24	6	the	the	DET
american_scientific_journal-2430	24	7	sfsm	sfsm	PROPN
american_scientific_journal-2430	24	8	produces	produce	VERB
american_scientific_journal-2430	24	9	monotonic	monotonic	ADJ
american_scientific_journal-2430	24	10	convergence	convergence	NOUN
american_scientific_journal-2430	24	11	of	of	ADP
american_scientific_journal-2430	24	12	stress	stress	NOUN
american_scientific_journal-2430	24	13	instead	instead	ADV
american_scientific_journal-2430	24	14	of	of	ADP
american_scientific_journal-2430	24	15	oscillatory	oscillatory	ADJ
american_scientific_journal-2430	24	16	convergence	convergence	NOUN
american_scientific_journal-2430	24	17	of	of	ADP
american_scientific_journal-2430	24	18	stress	stress	NOUN
american_scientific_journal-2430	24	19	(	(	PUNCT
american_scientific_journal-2430	24	20	encountered	encounter	VERB
american_scientific_journal-2430	24	21	when	when	SCONJ
american_scientific_journal-2430	24	22	using	use	VERB
american_scientific_journal-2430	24	23	fsm	fsm	PROPN
american_scientific_journal-2430	24	24	as	as	SCONJ
american_scientific_journal-2430	24	25	identified	identify	VERB
american_scientific_journal-2430	24	26	by	by	ADP
american_scientific_journal-2430	24	27	gibb	gibb	PROPN
american_scientific_journal-2430	24	28	's	's	PART
american_scientific_journal-2430	24	29	phenomenon	phenomenon	NOUN
american_scientific_journal-2430	24	30	)	)	PUNCT
american_scientific_journal-2430	24	31	"	"	PUNCT
american_scientific_journal-2430	25	1	[	[	X
american_scientific_journal-2430	25	2	3	3	NUM
american_scientific_journal-2430	25	3	]	]	PUNCT
american_scientific_journal-2430	25	4	.	.	PUNCT
american_scientific_journal-2430	26	1	this	this	PRON
american_scientific_journal-2430	26	2	is	be	AUX
american_scientific_journal-2430	26	3	attributed	attribute	VERB
american_scientific_journal-2430	26	4	to	to	ADP
american_scientific_journal-2430	26	5	the	the	DET
american_scientific_journal-2430	26	6	development	development	NOUN
american_scientific_journal-2430	26	7	and	and	CCONJ
american_scientific_journal-2430	26	8	structure	structure	NOUN
american_scientific_journal-2430	26	9	of	of	ADP
american_scientific_journal-2430	26	10	the	the	DET
american_scientific_journal-2430	26	11	spline	spline	PROPN
american_scientific_journal-2430	26	12	finite	finite	PROPN
american_scientific_journal-2430	26	13	strip	strip	PROPN
american_scientific_journal-2430	26	14	method	method	NOUN
american_scientific_journal-2430	26	15	(	(	PUNCT
american_scientific_journal-2430	26	16	sfsm	sfsm	ADJ
american_scientific_journal-2430	26	17	)	)	PUNCT
american_scientific_journal-2430	26	18	shown	show	VERB
american_scientific_journal-2430	26	19	in	in	ADP
american_scientific_journal-2430	26	20	figure	figure	NOUN
american_scientific_journal-2430	26	21	1	1	NUM
american_scientific_journal-2430	26	22	.	.	NOUN
american_scientific_journal-2430	27	1	3	3	X
american_scientific_journal-2430	27	2	.	.	X
american_scientific_journal-2430	27	3	displacement	displacement	NOUN
american_scientific_journal-2430	27	4	function	function	VERB
american_scientific_journal-2430	27	5	the	the	DET
american_scientific_journal-2430	27	6	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	27	7	b3	b3	NOUN
american_scientific_journal-2430	27	8	-	-	PUNCT
american_scientific_journal-2430	27	9	spline	spline	NOUN
american_scientific_journal-2430	27	10	representation	representation	NOUN
american_scientific_journal-2430	27	11	and	and	CCONJ
american_scientific_journal-2430	27	12	the	the	DET
american_scientific_journal-2430	27	13	transverse	transverse	NOUN
american_scientific_journal-2430	27	14	interpolation	interpolation	NOUN
american_scientific_journal-2430	27	15	polynomial	polynomial	NOUN
american_scientific_journal-2430	27	16	are	be	AUX
american_scientific_journal-2430	27	17	multiplied	multiply	VERB
american_scientific_journal-2430	27	18	to	to	PART
american_scientific_journal-2430	27	19	introduce	introduce	VERB
american_scientific_journal-2430	27	20	the	the	DET
american_scientific_journal-2430	27	21	displacement	displacement	ADJ
american_scientific_journal-2430	27	22	function	function	NOUN
american_scientific_journal-2430	27	23	.	.	PUNCT
american_scientific_journal-2430	28	1	they	they	PRON
american_scientific_journal-2430	28	2	are	be	AUX
american_scientific_journal-2430	28	3	discussed	discuss	VERB
american_scientific_journal-2430	28	4	separately	separately	ADV
american_scientific_journal-2430	28	5	3.1	3.1	NUM
american_scientific_journal-2430	28	6	b3	b3	NOUN
american_scientific_journal-2430	28	7	-	-	PUNCT
american_scientific_journal-2430	28	8	spline	spline	NOUN
american_scientific_journal-2430	28	9	representation	representation	NOUN
american_scientific_journal-2430	28	10	for	for	ADP
american_scientific_journal-2430	28	11	longitudinal	longitudinal	ADJ
american_scientific_journal-2430	28	12	direction	direction	NOUN
american_scientific_journal-2430	28	13	several	several	ADJ
american_scientific_journal-2430	28	14	types	type	NOUN
american_scientific_journal-2430	28	15	of	of	ADP
american_scientific_journal-2430	28	16	splines	spline	NOUN
american_scientific_journal-2430	28	17	,	,	PUNCT
american_scientific_journal-2430	28	18	were	be	AUX
american_scientific_journal-2430	28	19	developed	develop	VERB
american_scientific_journal-2430	28	20	in	in	ADP
american_scientific_journal-2430	28	21	the	the	DET
american_scientific_journal-2430	28	22	elapsing	elapse	VERB
american_scientific_journal-2430	28	23	century	century	NOUN
american_scientific_journal-2430	28	24	.	.	PUNCT
american_scientific_journal-2430	29	1	the	the	DET
american_scientific_journal-2430	29	2	most	most	ADV
american_scientific_journal-2430	29	3	efficient	efficient	ADJ
american_scientific_journal-2430	29	4	and	and	CCONJ
american_scientific_journal-2430	29	5	versatile	versatile	ADJ
american_scientific_journal-2430	29	6	one	one	NOUN
american_scientific_journal-2430	29	7	is	be	AUX
american_scientific_journal-2430	29	8	the	the	DET
american_scientific_journal-2430	29	9	basic	basic	ADJ
american_scientific_journal-2430	29	10	cubic	cubic	ADJ
american_scientific_journal-2430	29	11	b3spline	b3spline	NOUN
american_scientific_journal-2430	29	12	,	,	PUNCT
american_scientific_journal-2430	29	13	defined	define	VERB
american_scientific_journal-2430	29	14	in	in	ADP
american_scientific_journal-2430	29	15	equation(1	equation(1	PROPN
american_scientific_journal-2430	29	16	)	)	PUNCT
american_scientific_journal-2430	29	17	and	and	CCONJ
american_scientific_journal-2430	29	18	adopted	adopt	VERB
american_scientific_journal-2430	29	19	in	in	ADP
american_scientific_journal-2430	29	20	this	this	DET
american_scientific_journal-2430	29	21	paper	paper	NOUN
american_scientific_journal-2430	29	22	.	.	PUNCT
american_scientific_journal-2430	30	1	𝜑𝜑𝑖𝑖	𝜑𝜑𝑖𝑖	VERB
american_scientific_journal-2430	30	2	1	1	NUM
american_scientific_journal-2430	30	3	66ℎ3	66ℎ3	NUM
american_scientific_journal-2430	30	4	.	.	PUNCT
american_scientific_journal-2430	31	1	⎩	⎩	PROPN
american_scientific_journal-2430	32	1	⎪⎪	⎪⎪	PROPN
american_scientific_journal-2430	32	2	⎨	⎨	PROPN
american_scientific_journal-2430	32	3	⎪⎪	⎪⎪	PROPN
american_scientific_journal-2430	32	4	⎧	⎧	PROPN
american_scientific_journal-2430	32	5	0	0	NUM
american_scientific_journal-2430	32	6	,	,	PUNCT
american_scientific_journal-2430	32	7	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	32	8	<	<	X
american_scientific_journal-2430	32	9	𝑥𝑥𝑖𝑖−2	𝑥𝑥𝑖𝑖−2	PROPN
american_scientific_journal-2430	32	10	(	(	PUNCT
american_scientific_journal-2430	32	11	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	32	12	−	−	PROPN
american_scientific_journal-2430	32	13	𝑥𝑥𝑖𝑖−2)3	𝑥𝑥𝑖𝑖−2)3	PROPN
american_scientific_journal-2430	32	14	,	,	PUNCT
american_scientific_journal-2430	32	15	𝑥𝑥𝑖𝑖−2	𝑥𝑥𝑖𝑖−2	PROPN
american_scientific_journal-2430	32	16	≤	≤	NOUN
american_scientific_journal-2430	32	17	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	32	18	≤	≤	ADJ
american_scientific_journal-2430	32	19	𝑥𝑥𝑖𝑖−1	𝑥𝑥𝑖𝑖−1	NOUN
american_scientific_journal-2430	32	20	ℎ3	ℎ3	NOUN
american_scientific_journal-2430	32	21	+	+	CCONJ
american_scientific_journal-2430	32	22	3ℎ2(𝑥𝑥	3ℎ2(𝑥𝑥	NUM
american_scientific_journal-2430	32	23	−	−	NOUN
american_scientific_journal-2430	32	24	𝑥𝑥𝑖𝑖−1	𝑥𝑥𝑖𝑖−1	VERB
american_scientific_journal-2430	32	25	)	)	PUNCT
american_scientific_journal-2430	33	1	+	+	NUM
american_scientific_journal-2430	34	1	3ℎ(𝑥𝑥	3ℎ(𝑥𝑥	NUM
american_scientific_journal-2430	34	2	−	−	NOUN
american_scientific_journal-2430	35	1	𝑥𝑥𝑖𝑖−1)2	𝑥𝑥𝑖𝑖−1)2	PROPN
american_scientific_journal-2430	35	2	−	−	PROPN
american_scientific_journal-2430	35	3	3(𝑥𝑥	3(𝑥𝑥	NUM
american_scientific_journal-2430	35	4	−	−	PROPN
american_scientific_journal-2430	36	1	𝑥𝑥𝑖𝑖−1)3	𝑥𝑥𝑖𝑖−1)3	NOUN
american_scientific_journal-2430	36	2	,	,	PUNCT
american_scientific_journal-2430	36	3	𝑥𝑥𝑖𝑖−1	𝑥𝑥𝑖𝑖−1	X
american_scientific_journal-2430	36	4	≤	≤	NOUN
american_scientific_journal-2430	36	5	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	36	6	≤	≤	NUM
american_scientific_journal-2430	36	7	𝑥𝑥𝑖𝑖	𝑥𝑥𝑖𝑖	NOUN
american_scientific_journal-2430	36	8	ℎ3	ℎ3	NOUN
american_scientific_journal-2430	36	9	+	+	CCONJ
american_scientific_journal-2430	36	10	3ℎ2(𝑥𝑥𝑖𝑖+1	3ℎ2(𝑥𝑥𝑖𝑖+1	NUM
american_scientific_journal-2430	36	11	−	−	NOUN
american_scientific_journal-2430	36	12	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	36	13	)	)	PUNCT
american_scientific_journal-2430	36	14	+	+	NUM
american_scientific_journal-2430	36	15	3ℎ(𝑥𝑥𝑖𝑖+1	3ℎ(𝑥𝑥𝑖𝑖+1	NUM
american_scientific_journal-2430	36	16	−	−	PROPN
american_scientific_journal-2430	36	17	𝑥𝑥)2	𝑥𝑥)2	PROPN
american_scientific_journal-2430	36	18	−	−	PROPN
american_scientific_journal-2430	36	19	3(𝑥𝑥𝑖𝑖+1	3(𝑥𝑥𝑖𝑖+1	NUM
american_scientific_journal-2430	36	20	−	−	NOUN
american_scientific_journal-2430	37	1	𝑥𝑥)3	𝑥𝑥)3	PROPN
american_scientific_journal-2430	37	2	,	,	PUNCT
american_scientific_journal-2430	37	3	,	,	PUNCT
american_scientific_journal-2430	37	4	𝑥𝑥𝑖𝑖	𝑥𝑥𝑖𝑖	NOUN
american_scientific_journal-2430	37	5	≤	≤	NOUN
american_scientific_journal-2430	37	6	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	37	7	≤	≤	ADJ
american_scientific_journal-2430	37	8	𝑥𝑥𝑖𝑖+1	𝑥𝑥𝑖𝑖+1	NOUN
american_scientific_journal-2430	37	9	(	(	PUNCT
american_scientific_journal-2430	37	10	𝑥𝑥𝑖𝑖+2	𝑥𝑥𝑖𝑖+2	NOUN
american_scientific_journal-2430	37	11	−	−	VERB
american_scientific_journal-2430	37	12	𝑥𝑥)3	𝑥𝑥)3	NOUN
american_scientific_journal-2430	37	13	,	,	PUNCT
american_scientific_journal-2430	37	14	𝑥𝑥𝑖𝑖−1	𝑥𝑥𝑖𝑖−1	ADJ
american_scientific_journal-2430	37	15	≤	≤	NOUN
american_scientific_journal-2430	37	16	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	37	17	≤	≤	NUM
american_scientific_journal-2430	37	18	𝑥𝑥𝑖𝑖	𝑥𝑥𝑖𝑖	NOUN
american_scientific_journal-2430	37	19	0	0	NUM
american_scientific_journal-2430	37	20	,	,	PUNCT
american_scientific_journal-2430	37	21	𝑥𝑥𝑖𝑖+2	𝑥𝑥𝑖𝑖+2	NOUN
american_scientific_journal-2430	37	22	<	<	X
american_scientific_journal-2430	37	23	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	37	24	…	…	PUNCT
american_scientific_journal-2430	37	25	…	…	PUNCT
american_scientific_journal-2430	37	26	(	(	PUNCT
american_scientific_journal-2430	37	27	1	1	NUM
american_scientific_journal-2430	37	28	)	)	PUNCT
american_scientific_journal-2430	37	29	derivation	derivation	NOUN
american_scientific_journal-2430	37	30	of	of	ADP
american_scientific_journal-2430	37	31	the	the	DET
american_scientific_journal-2430	37	32	b3spline	b3spline	NOUN
american_scientific_journal-2430	37	33	and	and	CCONJ
american_scientific_journal-2430	37	34	the	the	DET
american_scientific_journal-2430	37	35	synthesis	synthesis	NOUN
american_scientific_journal-2430	37	36	processes	process	NOUN
american_scientific_journal-2430	37	37	are	be	AUX
american_scientific_journal-2430	37	38	shown	show	VERB
american_scientific_journal-2430	37	39	in	in	ADP
american_scientific_journal-2430	37	40	figure	figure	NOUN
american_scientific_journal-2430	37	41	2	2	NUM
american_scientific_journal-2430	37	42	figure	figure	NOUN
american_scientific_journal-2430	37	43	2	2	NUM
american_scientific_journal-2430	37	44	:	:	PUNCT
american_scientific_journal-2430	37	45	derivation	derivation	NOUN
american_scientific_journal-2430	37	46	of	of	ADP
american_scientific_journal-2430	37	47	b3	b3	NOUN
american_scientific_journal-2430	37	48	-	-	PUNCT
american_scientific_journal-2430	37	49	spline	spline	NOUN
american_scientific_journal-2430	37	50	expression	expression	NOUN
american_scientific_journal-2430	37	51	from	from	ADP
american_scientific_journal-2430	37	52	natural	natural	ADJ
american_scientific_journal-2430	37	53	spline	spline	NOUN
american_scientific_journal-2430	37	54	through	through	ADP
american_scientific_journal-2430	37	55	discretization	discretization	NOUN
american_scientific_journal-2430	37	56	and	and	CCONJ
american_scientific_journal-2430	37	57	synthesis	synthesis	NOUN
american_scientific_journal-2430	37	58	processes	process	NOUN
american_scientific_journal-2430	37	59	3.1.2	3.1.2	NUM
american_scientific_journal-2430	37	60	amendments	amendment	NOUN
american_scientific_journal-2430	37	61	of	of	ADP
american_scientific_journal-2430	37	62	boundary	boundary	ADJ
american_scientific_journal-2430	37	63	conditions	condition	NOUN
american_scientific_journal-2430	37	64	in	in	ADP
american_scientific_journal-2430	37	65	order	order	NOUN
american_scientific_journal-2430	37	66	to	to	PART
american_scientific_journal-2430	37	67	adapt	adapt	VERB
american_scientific_journal-2430	37	68	various	various	ADJ
american_scientific_journal-2430	37	69	boundary	boundary	ADJ
american_scientific_journal-2430	37	70	conditions	condition	NOUN
american_scientific_journal-2430	37	71	at	at	ADP
american_scientific_journal-2430	37	72	end	end	NOUN
american_scientific_journal-2430	37	73	knots	knot	NOUN
american_scientific_journal-2430	37	74	,	,	PUNCT
american_scientific_journal-2430	37	75	only	only	ADV
american_scientific_journal-2430	37	76	three	three	NUM
american_scientific_journal-2430	37	77	boundary	boundary	ADJ
american_scientific_journal-2430	37	78	local	local	ADJ
american_scientific_journal-2430	37	79	spline	spline	NOUN
american_scientific_journal-2430	37	80	centered	center	VERB
american_scientific_journal-2430	37	81	at	at	ADP
american_scientific_journal-2430	37	82	each	each	DET
american_scientific_journal-2430	37	83	end	end	NOUN
american_scientific_journal-2430	37	84	have	have	VERB
american_scientific_journal-2430	37	85	to	to	PART
american_scientific_journal-2430	37	86	be	be	AUX
american_scientific_journal-2430	37	87	amended	amend	VERB
american_scientific_journal-2430	37	88	,	,	PUNCT
american_scientific_journal-2430	37	89	while	while	SCONJ
american_scientific_journal-2430	37	90	the	the	DET
american_scientific_journal-2430	37	91	standard	standard	ADJ
american_scientific_journal-2430	37	92	b3	b3	NOUN
american_scientific_journal-2430	37	93	-	-	PUNCT
american_scientific_journal-2430	37	94	spline	spline	NOUN
american_scientific_journal-2430	37	95	,	,	PUNCT
american_scientific_journal-2430	37	96	defined	define	VERB
american_scientific_journal-2430	37	97	by	by	ADP
american_scientific_journal-2430	37	98	equation	equation	NOUN
american_scientific_journal-2430	37	99	(	(	PUNCT
american_scientific_journal-2430	37	100	1	1	X
american_scientific_journal-2430	37	101	)	)	PUNCT
american_scientific_journal-2430	37	102	is	be	AUX
american_scientific_journal-2430	37	103	used	use	VERB
american_scientific_journal-2430	37	104	for	for	ADP
american_scientific_journal-2430	37	105	other	other	ADJ
american_scientific_journal-2430	37	106	knots	knot	NOUN
american_scientific_journal-2430	37	107	.	.	PUNCT
american_scientific_journal-2430	38	1	=	=	SYM
american_scientific_journal-2430	38	2	american	american	ADJ
american_scientific_journal-2430	38	3	scientific	scientific	ADJ
american_scientific_journal-2430	38	4	research	research	NOUN
american_scientific_journal-2430	38	5	journal	journal	NOUN
american_scientific_journal-2430	38	6	for	for	ADP
american_scientific_journal-2430	38	7	engineering	engineering	NOUN
american_scientific_journal-2430	38	8	,	,	PUNCT
american_scientific_journal-2430	38	9	technology	technology	NOUN
american_scientific_journal-2430	38	10	,	,	PUNCT
american_scientific_journal-2430	38	11	and	and	CCONJ
american_scientific_journal-2430	38	12	sciences	science	NOUN
american_scientific_journal-2430	38	13	(	(	PUNCT
american_scientific_journal-2430	38	14	asrjets	asrjet	NOUN
american_scientific_journal-2430	38	15	)	)	PUNCT
american_scientific_journal-2430	38	16	(	(	PUNCT
american_scientific_journal-2430	38	17	2016	2016	NUM
american_scientific_journal-2430	38	18	)	)	PUNCT
american_scientific_journal-2430	38	19	volume	volume	NOUN
american_scientific_journal-2430	38	20	26	26	NUM
american_scientific_journal-2430	38	21	,	,	PUNCT
american_scientific_journal-2430	38	22	no	no	DET
american_scientific_journal-2430	38	23	4	4	NUM
american_scientific_journal-2430	38	24	,	,	PUNCT
american_scientific_journal-2430	38	25	pp	pp	ADV
american_scientific_journal-2430	38	26	151	151	NUM
american_scientific_journal-2430	38	27	-	-	SYM
american_scientific_journal-2430	38	28	168	168	NUM
american_scientific_journal-2430	38	29	154	154	NUM
american_scientific_journal-2430	38	30	i.e.	i.e.	X
american_scientific_journal-2430	38	31	y=[𝜑𝜑	y=[𝜑𝜑	PROPN
american_scientific_journal-2430	38	32	�	�	PROPN
american_scientific_journal-2430	38	33	−1	−1	NOUN
american_scientific_journal-2430	38	34	,	,	PUNCT
american_scientific_journal-2430	38	35	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	38	36	�	�	NOUN
american_scientific_journal-2430	38	37	0	0	NUM
american_scientific_journal-2430	38	38	,	,	PUNCT
american_scientific_journal-2430	38	39	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	38	40	�	�	NOUN
american_scientific_journal-2430	38	41	1	1	NUM
american_scientific_journal-2430	38	42	,	,	PUNCT
american_scientific_journal-2430	38	43	𝜑𝜑2,𝜑𝜑3	𝜑𝜑2,𝜑𝜑3	PROPN
american_scientific_journal-2430	38	44	,	,	PUNCT
american_scientific_journal-2430	38	45	……	……	NOUN
american_scientific_journal-2430	38	46	,	,	PUNCT
american_scientific_journal-2430	38	47	𝜑𝜑𝑚𝑚−3,𝜑𝜑𝑚𝑚−2	𝜑𝜑𝑚𝑚−3,𝜑𝜑𝑚𝑚−2	PROPN
american_scientific_journal-2430	38	48	,	,	PUNCT
american_scientific_journal-2430	38	49	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	38	50	�	�	NOUN
american_scientific_journal-2430	38	51	𝑚𝑚−1	𝑚𝑚−1	PROPN
american_scientific_journal-2430	38	52	,	,	PUNCT
american_scientific_journal-2430	38	53	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	38	54	�	�	NOUN
american_scientific_journal-2430	38	55	𝑚𝑚	𝑚𝑚	NOUN
american_scientific_journal-2430	38	56	,	,	PUNCT
american_scientific_journal-2430	38	57	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	38	58	�	�	NOUN
american_scientific_journal-2430	38	59	𝑚𝑚+1	𝑚𝑚+1	NOUN
american_scientific_journal-2430	38	60	]	]	PUNCT
american_scientific_journal-2430	38	61	⎩	⎩	NUM
american_scientific_journal-2430	38	62	⎪	⎪	NOUN
american_scientific_journal-2430	38	63	⎪	⎪	NOUN
american_scientific_journal-2430	38	64	⎪	⎪	NOUN
american_scientific_journal-2430	38	65	⎨	⎨	PROPN
american_scientific_journal-2430	38	66	⎪	⎪	NOUN
american_scientific_journal-2430	38	67	⎪	⎪	NOUN
american_scientific_journal-2430	38	68	⎪	⎪	NOUN
american_scientific_journal-2430	38	69	⎧	⎧	PROPN
american_scientific_journal-2430	38	70	𝛼𝛼−1	𝛼𝛼−1	PROPN
american_scientific_journal-2430	38	71	𝛼𝛼0	𝛼𝛼0	NUM
american_scientific_journal-2430	38	72	𝛼𝛼1	𝛼𝛼1	NUM
american_scientific_journal-2430	38	73	𝛼𝛼2	𝛼𝛼2	PROPN
american_scientific_journal-2430	38	74	𝛼𝛼3	𝛼𝛼3	PROPN
american_scientific_journal-2430	38	75	⋮	⋮	PROPN
american_scientific_journal-2430	38	76	𝛼𝛼𝑚𝑚−3	𝛼𝛼𝑚𝑚−3	PROPN
american_scientific_journal-2430	38	77	𝛼𝛼𝑚𝑚−2	𝛼𝛼𝑚𝑚−2	PROPN
american_scientific_journal-2430	38	78	𝛼𝛼𝑚𝑚−1	𝛼𝛼𝑚𝑚−1	NUM
american_scientific_journal-2430	38	79	𝛼𝛼𝑚𝑚	𝛼𝛼𝑚𝑚	NOUN
american_scientific_journal-2430	38	80	𝛼𝛼𝑚𝑚+1⎭	𝛼𝛼𝑚𝑚+1⎭	PUNCT
american_scientific_journal-2430	38	81	⎪	⎪	NOUN
american_scientific_journal-2430	38	82	⎪	⎪	NOUN
american_scientific_journal-2430	38	83	⎪	⎪	NOUN
american_scientific_journal-2430	38	84	⎬	⎬	PROPN
american_scientific_journal-2430	38	85	⎪	⎪	NOUN
american_scientific_journal-2430	38	86	⎪	⎪	NOUN
american_scientific_journal-2430	38	87	⎪	⎪	NOUN
american_scientific_journal-2430	38	88	⎫	⎫	PROPN
american_scientific_journal-2430	38	89	..	..	PUNCT
american_scientific_journal-2430	38	90	…	…	PUNCT
american_scientific_journal-2430	38	91	(	(	PUNCT
american_scientific_journal-2430	38	92	2	2	NUM
american_scientific_journal-2430	38	93	)	)	PUNCT
american_scientific_journal-2430	38	94	in	in	ADP
american_scientific_journal-2430	38	95	short	short	ADJ
american_scientific_journal-2430	38	96	form	form	NOUN
american_scientific_journal-2430	38	97	,	,	PUNCT
american_scientific_journal-2430	38	98	y	y	PROPN
american_scientific_journal-2430	38	99	=	=	NOUN
american_scientific_journal-2430	38	100	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	38	101	.	.	PUNCT
american_scientific_journal-2430	39	1	{	{	PUNCT
american_scientific_journal-2430	39	2	𝛼𝛼	𝛼𝛼	ADP
american_scientific_journal-2430	39	3	}	}	PUNCT
american_scientific_journal-2430	39	4	.	.	PUNCT
american_scientific_journal-2430	40	1	shapes	shape	NOUN
american_scientific_journal-2430	40	2	of	of	ADP
american_scientific_journal-2430	40	3	amended	amend	VERB
american_scientific_journal-2430	40	4	local	local	ADJ
american_scientific_journal-2430	40	5	splines	spline	NOUN
american_scientific_journal-2430	40	6	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	40	7	�	�	NOUN
american_scientific_journal-2430	40	8	0	0	NUM
american_scientific_journal-2430	40	9	and	and	CCONJ
american_scientific_journal-2430	40	10	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	40	11	�	�	NOUN
american_scientific_journal-2430	40	12	1	1	NUM
american_scientific_journal-2430	40	13	are	be	AUX
american_scientific_journal-2430	40	14	shown	show	VERB
american_scientific_journal-2430	40	15	in	in	ADP
american_scientific_journal-2430	40	16	the	the	DET
american_scientific_journal-2430	40	17	figure	figure	NOUN
american_scientific_journal-2430	40	18	3	3	NUM
american_scientific_journal-2430	40	19	figure	figure	NOUN
american_scientific_journal-2430	40	20	3	3	NUM
american_scientific_journal-2430	40	21	:	:	PUNCT
american_scientific_journal-2430	40	22	shapes	shape	NOUN
american_scientific_journal-2430	40	23	of	of	ADP
american_scientific_journal-2430	40	24	amended	amend	VERB
american_scientific_journal-2430	40	25	local	local	ADJ
american_scientific_journal-2430	40	26	splines	spline	NOUN
american_scientific_journal-2430	40	27	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	40	28	�	�	NOUN
american_scientific_journal-2430	40	29	0	0	NUM
american_scientific_journal-2430	40	30	and	and	CCONJ
american_scientific_journal-2430	40	31	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	40	32	�	�	NOUN
american_scientific_journal-2430	40	33	1	1	NUM
american_scientific_journal-2430	40	34	.	.	PUNCT
american_scientific_journal-2430	41	1	[	[	X
american_scientific_journal-2430	41	2	4	4	NUM
american_scientific_journal-2430	41	3	]	]	SYM
american_scientific_journal-2430	41	4	table	table	NOUN
american_scientific_journal-2430	41	5	1	1	NUM
american_scientific_journal-2430	41	6	:	:	PUNCT
american_scientific_journal-2430	41	7	amendment	amendment	NOUN
american_scientific_journal-2430	41	8	scheme	scheme	NOUN
american_scientific_journal-2430	41	9	for	for	ADP
american_scientific_journal-2430	41	10	boundary	boundary	ADJ
american_scientific_journal-2430	41	11	local	local	ADJ
american_scientific_journal-2430	41	12	splines	spline	NOUN
american_scientific_journal-2430	41	13	satisfying	satisfy	VERB
american_scientific_journal-2430	41	14	both	both	CCONJ
american_scientific_journal-2430	41	15	rigid	rigid	ADJ
american_scientific_journal-2430	41	16	and	and	CCONJ
american_scientific_journal-2430	41	17	natural	natural	ADJ
american_scientific_journal-2430	41	18	conditions	condition	NOUN
american_scientific_journal-2430	41	19	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	41	20	�	�	NOUN
american_scientific_journal-2430	41	21	−1	−1	NOUN
american_scientific_journal-2430	41	22	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	41	23	�	�	NOUN
american_scientific_journal-2430	41	24	0	0	NUM
american_scientific_journal-2430	41	25	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	41	26	�	�	NOUN
american_scientific_journal-2430	41	27	1	1	NUM
american_scientific_journal-2430	41	28	y(x0	y(x0	NOUN
american_scientific_journal-2430	41	29	)	)	PUNCT
american_scientific_journal-2430	41	30	≠	≠	PROPN
american_scientific_journal-2430	41	31	0	0	NUM
american_scientific_journal-2430	41	32	free	free	ADJ
american_scientific_journal-2430	41	33	end	end	NOUN
american_scientific_journal-2430	41	34	y'(x0	y'(x0	PROPN
american_scientific_journal-2430	41	35	)	)	PUNCT
american_scientific_journal-2430	41	36	≠	≠	PROPN
american_scientific_journal-2430	41	37	0	0	NUM
american_scientific_journal-2430	41	38	y"(x0	y"(x0	NUM
american_scientific_journal-2430	41	39	)	)	PUNCT
american_scientific_journal-2430	41	40	=	=	SYM
american_scientific_journal-2430	41	41	0	0	NUM
american_scientific_journal-2430	41	42	eliminated	eliminate	VERB
american_scientific_journal-2430	41	43	𝜑𝜑0	𝜑𝜑0	PROPN
american_scientific_journal-2430	41	44	+	+	SYM
american_scientific_journal-2430	41	45	2𝜑𝜑−1	2𝜑𝜑−1	NUM
american_scientific_journal-2430	41	46	𝜑𝜑1+𝜑𝜑0+𝜑𝜑−1	𝜑𝜑1+𝜑𝜑0+𝜑𝜑−1	NOUN
american_scientific_journal-2430	41	47	eliminated	eliminate	VERB
american_scientific_journal-2430	41	48	eliminated	eliminate	VERB
american_scientific_journal-2430	41	49	𝜑𝜑1𝜑𝜑−1	𝜑𝜑1𝜑𝜑−1	PROPN
american_scientific_journal-2430	41	50	eliminated	eliminate	VERB
american_scientific_journal-2430	41	51	eliminated	eliminate	VERB
american_scientific_journal-2430	41	52	𝜑𝜑11	𝜑𝜑11	PROPN
american_scientific_journal-2430	41	53	2	2	NUM
american_scientific_journal-2430	41	54	𝜑𝜑0+𝜑𝜑−1	𝜑𝜑0+𝜑𝜑−1	NOUN
american_scientific_journal-2430	41	55	eliminated	eliminate	VERB
american_scientific_journal-2430	41	56	𝜑𝜑0	𝜑𝜑0	NOUN
american_scientific_journal-2430	41	57	𝜑𝜑1+𝜑𝜑−1	𝜑𝜑1+𝜑𝜑−1	NOUN
american_scientific_journal-2430	41	58	amended	amend	VERB
american_scientific_journal-2430	41	59	local	local	ADJ
american_scientific_journal-2430	41	60	spline	spline	NOUN
american_scientific_journal-2430	41	61	boundary	boundary	ADJ
american_scientific_journal-2430	41	62	condition	condition	NOUN
american_scientific_journal-2430	41	63	simply	simply	ADV
american_scientific_journal-2430	41	64	supported	support	VERB
american_scientific_journal-2430	41	65	end	end	NOUN
american_scientific_journal-2430	41	66	y(x0	y(x0	NOUN
american_scientific_journal-2430	41	67	)	)	PUNCT
american_scientific_journal-2430	41	68	≠	≠	PROPN
american_scientific_journal-2430	41	69	0	0	NUM
american_scientific_journal-2430	41	70	y'(x0	y'(x0	NOUN
american_scientific_journal-2430	41	71	)	)	PUNCT
american_scientific_journal-2430	41	72	≠	≠	PROPN
american_scientific_journal-2430	41	73	0	0	NUM
american_scientific_journal-2430	41	74	y"(x0	y"(x0	NUM
american_scientific_journal-2430	41	75	)	)	PUNCT
american_scientific_journal-2430	41	76	=	=	SYM
american_scientific_journal-2430	41	77	0	0	NUM
american_scientific_journal-2430	41	78	clamped	clamp	VERB
american_scientific_journal-2430	41	79	end	end	NOUN
american_scientific_journal-2430	41	80	y(x0	y(x0	NOUN
american_scientific_journal-2430	41	81	)	)	PUNCT
american_scientific_journal-2430	42	1	=	=	SYM
american_scientific_journal-2430	42	2	0	0	NUM
american_scientific_journal-2430	42	3	y'(x0	y'(x0	NOUN
american_scientific_journal-2430	42	4	)	)	PUNCT
american_scientific_journal-2430	42	5	=	=	SYM
american_scientific_journal-2430	42	6	0	0	NUM
american_scientific_journal-2430	42	7	y"(x0	y"(x0	NUM
american_scientific_journal-2430	42	8	)	)	PUNCT
american_scientific_journal-2430	42	9	≠	≠	PROPN
american_scientific_journal-2430	42	10	0	0	NUM
american_scientific_journal-2430	42	11	sliding	slide	VERB
american_scientific_journal-2430	42	12	clamped	clamp	VERB
american_scientific_journal-2430	42	13	end	end	NOUN
american_scientific_journal-2430	42	14	y(x0	y(x0	NOUN
american_scientific_journal-2430	42	15	)	)	PUNCT
american_scientific_journal-2430	42	16	≠	≠	PROPN
american_scientific_journal-2430	42	17	0	0	NUM
american_scientific_journal-2430	42	18	y'(x0	y'(x0	NOUN
american_scientific_journal-2430	42	19	)	)	PUNCT
american_scientific_journal-2430	42	20	=	=	SYM
american_scientific_journal-2430	42	21	0	0	NUM
american_scientific_journal-2430	42	22	y(x0	y(x0	NOUN
american_scientific_journal-2430	42	23	)	)	PUNCT
american_scientific_journal-2430	42	24	≠	≠	PROPN
american_scientific_journal-2430	42	25	0	0	NUM
american_scientific_journal-2430	42	26	american	american	ADJ
american_scientific_journal-2430	42	27	scientific	scientific	ADJ
american_scientific_journal-2430	42	28	research	research	NOUN
american_scientific_journal-2430	42	29	journal	journal	NOUN
american_scientific_journal-2430	42	30	for	for	ADP
american_scientific_journal-2430	42	31	engineering	engineering	NOUN
american_scientific_journal-2430	42	32	,	,	PUNCT
american_scientific_journal-2430	42	33	technology	technology	NOUN
american_scientific_journal-2430	42	34	,	,	PUNCT
american_scientific_journal-2430	42	35	and	and	CCONJ
american_scientific_journal-2430	42	36	sciences	science	NOUN
american_scientific_journal-2430	42	37	(	(	PUNCT
american_scientific_journal-2430	42	38	asrjets	asrjet	NOUN
american_scientific_journal-2430	42	39	)	)	PUNCT
american_scientific_journal-2430	42	40	(	(	PUNCT
american_scientific_journal-2430	42	41	2016	2016	NUM
american_scientific_journal-2430	42	42	)	)	PUNCT
american_scientific_journal-2430	42	43	volume	volume	NOUN
american_scientific_journal-2430	42	44	26	26	NUM
american_scientific_journal-2430	42	45	,	,	PUNCT
american_scientific_journal-2430	42	46	no	no	DET
american_scientific_journal-2430	42	47	4	4	NUM
american_scientific_journal-2430	42	48	,	,	PUNCT
american_scientific_journal-2430	42	49	pp	pp	ADV
american_scientific_journal-2430	42	50	151	151	NUM
american_scientific_journal-2430	42	51	-	-	SYM
american_scientific_journal-2430	42	52	168	168	NUM
american_scientific_journal-2430	42	53	155	155	NUM
american_scientific_journal-2430	42	54	3.2	3.2	NUM
american_scientific_journal-2430	42	55	transverse	transverse	NOUN
american_scientific_journal-2430	42	56	interpolation	interpolation	NOUN
american_scientific_journal-2430	42	57	polynomials	polynomial	VERB
american_scientific_journal-2430	42	58	the	the	DET
american_scientific_journal-2430	42	59	transverse	transverse	NOUN
american_scientific_journal-2430	42	60	interpolation	interpolation	NOUN
american_scientific_journal-2430	42	61	polynomial	polynomial	NOUN
american_scientific_journal-2430	42	62	of	of	ADP
american_scientific_journal-2430	42	63	two	two	NUM
american_scientific_journal-2430	42	64	nodal	nodal	NOUN
american_scientific_journal-2430	42	65	lines	line	NOUN
american_scientific_journal-2430	42	66	of	of	ADP
american_scientific_journal-2430	42	67	finite	finite	PROPN
american_scientific_journal-2430	42	68	strip	strip	PROPN
american_scientific_journal-2430	42	69	is	be	AUX
american_scientific_journal-2430	42	70	used	use	VERB
american_scientific_journal-2430	42	71	to	to	PART
american_scientific_journal-2430	42	72	describe	describe	VERB
american_scientific_journal-2430	42	73	its	its	PRON
american_scientific_journal-2430	42	74	interior	interior	ADJ
american_scientific_journal-2430	42	75	behavior	behavior	NOUN
american_scientific_journal-2430	42	76	,	,	PUNCT
american_scientific_journal-2430	42	77	and	and	CCONJ
american_scientific_journal-2430	42	78	it	it	PRON
american_scientific_journal-2430	42	79	is	be	AUX
american_scientific_journal-2430	42	80	transformed	transform	VERB
american_scientific_journal-2430	42	81	to	to	ADP
american_scientific_journal-2430	42	82	the	the	DET
american_scientific_journal-2430	42	83	form	form	NOUN
american_scientific_journal-2430	42	84	of	of	ADP
american_scientific_journal-2430	42	85	shape	shape	NOUN
american_scientific_journal-2430	42	86	function	function	NOUN
american_scientific_journal-2430	42	87	[	[	X
american_scientific_journal-2430	42	88	5	5	NUM
american_scientific_journal-2430	42	89	]	]	PUNCT
american_scientific_journal-2430	42	90	.	.	PUNCT
american_scientific_journal-2430	43	1	there	there	PRON
american_scientific_journal-2430	43	2	are	be	VERB
american_scientific_journal-2430	43	3	many	many	ADJ
american_scientific_journal-2430	43	4	shape	shape	NOUN
american_scientific_journal-2430	43	5	functions	function	NOUN
american_scientific_journal-2430	43	6	can	can	AUX
american_scientific_journal-2430	43	7	obtained	obtain	VERB
american_scientific_journal-2430	43	8	by	by	ADP
american_scientific_journal-2430	43	9	either	either	CCONJ
american_scientific_journal-2430	43	10	direct	direct	ADJ
american_scientific_journal-2430	43	11	inspection	inspection	NOUN
american_scientific_journal-2430	43	12	or	or	CCONJ
american_scientific_journal-2430	43	13	matrix	matrix	NOUN
american_scientific_journal-2430	43	14	transformation	transformation	NOUN
american_scientific_journal-2430	43	15	which	which	PRON
american_scientific_journal-2430	43	16	are	be	AUX
american_scientific_journal-2430	43	17	suitable	suitable	ADJ
american_scientific_journal-2430	43	18	for	for	ADP
american_scientific_journal-2430	43	19	transverse	transverse	NOUN
american_scientific_journal-2430	43	20	representation	representation	NOUN
american_scientific_journal-2430	43	21	as	as	SCONJ
american_scientific_journal-2430	43	22	they	they	PRON
american_scientific_journal-2430	43	23	satisfy	satisfy	VERB
american_scientific_journal-2430	43	24	some	some	DET
american_scientific_journal-2430	43	25	conditions	condition	NOUN
american_scientific_journal-2430	43	26	.	.	PUNCT
american_scientific_journal-2430	44	1	the	the	DET
american_scientific_journal-2430	44	2	cubic	cubic	ADJ
american_scientific_journal-2430	44	3	interpolation	interpolation	NOUN
american_scientific_journal-2430	44	4	defining	define	VERB
american_scientific_journal-2430	44	5	two	two	NUM
american_scientific_journal-2430	44	6	degrees	degree	NOUN
american_scientific_journal-2430	44	7	(	(	PUNCT
american_scientific_journal-2430	44	8	the	the	DET
american_scientific_journal-2430	44	9	displacement	displacement	NOUN
american_scientific_journal-2430	44	10	and	and	CCONJ
american_scientific_journal-2430	44	11	its	its	PRON
american_scientific_journal-2430	44	12	derivative	derivative	NOUN
american_scientific_journal-2430	44	13	)	)	PUNCT
american_scientific_journal-2430	44	14	of	of	ADP
american_scientific_journal-2430	44	15	freedom	freedom	NOUN
american_scientific_journal-2430	44	16	for	for	ADP
american_scientific_journal-2430	44	17	each	each	DET
american_scientific_journal-2430	44	18	nodal	nodal	NOUN
american_scientific_journal-2430	44	19	line	line	NOUN
american_scientific_journal-2430	44	20	of	of	ADP
american_scientific_journal-2430	44	21	a	a	DET
american_scientific_journal-2430	44	22	strip	strip	NOUN
american_scientific_journal-2430	44	23	is	be	AUX
american_scientific_journal-2430	44	24	adopted	adopt	VERB
american_scientific_journal-2430	44	25	.	.	PUNCT
american_scientific_journal-2430	45	1	the	the	DET
american_scientific_journal-2430	45	2	four	four	NUM
american_scientific_journal-2430	45	3	appropriate	appropriate	ADJ
american_scientific_journal-2430	45	4	shape	shape	NOUN
american_scientific_journal-2430	45	5	functions	function	NOUN
american_scientific_journal-2430	45	6	are	be	AUX
american_scientific_journal-2430	45	7	:	:	PUNCT
american_scientific_journal-2430	45	8	n1	n1	ADJ
american_scientific_journal-2430	45	9	=	=	SYM
american_scientific_journal-2430	45	10	13	13	NUM
american_scientific_journal-2430	45	11	�	�	NOUN
american_scientific_journal-2430	45	12	̅	̅	NOUN
american_scientific_journal-2430	45	13	�	�	NOUN
american_scientific_journal-2430	45	14	𝑥2	𝑥2	NOUN
american_scientific_journal-2430	45	15	+	+	CCONJ
american_scientific_journal-2430	45	16	2	2	NUM
american_scientific_journal-2430	45	17	�	�	NOUN
american_scientific_journal-2430	45	18	̅	̅	NOUN
american_scientific_journal-2430	45	19	�	�	NOUN
american_scientific_journal-2430	45	20	𝑥3	𝑥3	NOUN
american_scientific_journal-2430	45	21	,	,	PUNCT
american_scientific_journal-2430	45	22	n2	n2	NOUN
american_scientific_journal-2430	45	23	=	=	PUNCT
american_scientific_journal-2430	45	24	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	45	25	(	(	PUNCT
american_scientific_journal-2430	45	26	1	1	NUM
american_scientific_journal-2430	45	27	-	-	SYM
american_scientific_journal-2430	45	28	2	2	NUM
american_scientific_journal-2430	45	29	�	�	NOUN
american_scientific_journal-2430	45	30	̅	̅	NOUN
american_scientific_journal-2430	45	31	�	�	NOUN
american_scientific_journal-2430	45	32	𝑥	𝑥	DET
american_scientific_journal-2430	45	33	+	+	ADJ
american_scientific_journal-2430	45	34	�	�	NOUN
american_scientific_journal-2430	45	35	̅	̅	NOUN
american_scientific_journal-2430	45	36	�	�	NOUN
american_scientific_journal-2430	45	37	𝑥2	𝑥2	NOUN
american_scientific_journal-2430	45	38	)	)	PUNCT
american_scientific_journal-2430	45	39	n3	n3	NOUN
american_scientific_journal-2430	45	40	=	=	SYM
american_scientific_journal-2430	45	41	3	3	NUM
american_scientific_journal-2430	45	42	�	�	NOUN
american_scientific_journal-2430	45	43	̅	̅	NOUN
american_scientific_journal-2430	45	44	�	�	NOUN
american_scientific_journal-2430	45	45	𝑥2	𝑥2	NOUN
american_scientific_journal-2430	45	46	2	2	NUM
american_scientific_journal-2430	45	47	�	�	NOUN
american_scientific_journal-2430	45	48	̅	̅	NOUN
american_scientific_journal-2430	45	49	�	�	NOUN
american_scientific_journal-2430	45	50	𝑥3	𝑥3	NOUN
american_scientific_journal-2430	45	51	,	,	PUNCT
american_scientific_journal-2430	45	52	n4	n4	PROPN
american_scientific_journal-2430	45	53	=	=	PROPN
american_scientific_journal-2430	45	54	𝑥𝑥	𝑥𝑥	ADP
american_scientific_journal-2430	45	55	(	(	PUNCT
american_scientific_journal-2430	45	56	�	�	NOUN
american_scientific_journal-2430	45	57	̅	̅	NOUN
american_scientific_journal-2430	45	58	�	�	NOUN
american_scientific_journal-2430	45	59	𝑥2	𝑥2	NOUN
american_scientific_journal-2430	45	60	�	�	NOUN
american_scientific_journal-2430	45	61	̅	̅	NOUN
american_scientific_journal-2430	45	62	�	�	NOUN
american_scientific_journal-2430	45	63	𝑥	𝑥	NOUN
american_scientific_journal-2430	45	64	)	)	PUNCT
american_scientific_journal-2430	45	65	where	where	SCONJ
american_scientific_journal-2430	45	66	�	�	NOUN
american_scientific_journal-2430	45	67	̅	̅	VERB
american_scientific_journal-2430	45	68	�	�	NOUN
american_scientific_journal-2430	45	69	𝑥	𝑥	NOUN
american_scientific_journal-2430	45	70	=	=	PUNCT
american_scientific_journal-2430	45	71	x	x	SYM
american_scientific_journal-2430	45	72	b	b	NOUN
american_scientific_journal-2430	45	73	these	these	DET
american_scientific_journal-2430	45	74	shape	shape	NOUN
american_scientific_journal-2430	45	75	functions	function	NOUN
american_scientific_journal-2430	45	76	,	,	PUNCT
american_scientific_journal-2430	45	77	are	be	AUX
american_scientific_journal-2430	45	78	derived	derive	VERB
american_scientific_journal-2430	45	79	from	from	ADP
american_scientific_journal-2430	45	80	a	a	DET
american_scientific_journal-2430	45	81	straight	straight	ADJ
american_scientific_journal-2430	45	82	line	line	NOUN
american_scientific_journal-2430	45	83	connecting	connect	VERB
american_scientific_journal-2430	45	84	two	two	NUM
american_scientific_journal-2430	45	85	nodes	node	NOUN
american_scientific_journal-2430	45	86	,	,	PUNCT
american_scientific_journal-2430	45	87	with	with	ADP
american_scientific_journal-2430	45	88	displacement	displacement	NOUN
american_scientific_journal-2430	45	89	and	and	CCONJ
american_scientific_journal-2430	45	90	transverse	transverse	NOUN
american_scientific_journal-2430	45	91	rotation	rotation	NOUN
american_scientific_journal-2430	45	92	as	as	SCONJ
american_scientific_journal-2430	45	93	shown	show	VERB
american_scientific_journal-2430	45	94	in	in	ADP
american_scientific_journal-2430	45	95	figure	figure	NOUN
american_scientific_journal-2430	45	96	4	4	NUM
american_scientific_journal-2430	45	97	,	,	PUNCT
american_scientific_journal-2430	45	98	they	they	PRON
american_scientific_journal-2430	45	99	are	be	AUX
american_scientific_journal-2430	45	100	derived	derive	VERB
american_scientific_journal-2430	45	101	with	with	ADP
american_scientific_journal-2430	45	102	their	their	PRON
american_scientific_journal-2430	45	103	derivatives	derivative	NOUN
american_scientific_journal-2430	45	104	by	by	ADP
american_scientific_journal-2430	45	105	direct	direct	ADJ
american_scientific_journal-2430	45	106	inspection	inspection	NOUN
american_scientific_journal-2430	45	107	.	.	PUNCT
american_scientific_journal-2430	46	1	figure	figure	VERB
american_scientific_journal-2430	46	2	4	4	NUM
american_scientific_journal-2430	46	3	:	:	PUNCT
american_scientific_journal-2430	46	4	transverse	transverse	NOUN
american_scientific_journal-2430	46	5	shape	shape	NOUN
american_scientific_journal-2430	46	6	function	function	NOUN
american_scientific_journal-2430	46	7	in	in	ADP
american_scientific_journal-2430	46	8	connection	connection	NOUN
american_scientific_journal-2430	46	9	with	with	ADP
american_scientific_journal-2430	46	10	the	the	DET
american_scientific_journal-2430	46	11	degrees	degree	NOUN
american_scientific_journal-2430	46	12	of	of	ADP
american_scientific_journal-2430	46	13	freedom	freedom	NOUN
american_scientific_journal-2430	46	14	of	of	ADP
american_scientific_journal-2430	46	15	two	two	NUM
american_scientific_journal-2430	46	16	edge	edge	NOUN
american_scientific_journal-2430	46	17	nodal	nodal	NOUN
american_scientific_journal-2430	46	18	lines	line	NOUN
american_scientific_journal-2430	46	19	.	.	PUNCT
american_scientific_journal-2430	47	1	4	4	X
american_scientific_journal-2430	47	2	.	.	X
american_scientific_journal-2430	47	3	formulation	formulation	NOUN
american_scientific_journal-2430	47	4	of	of	ADP
american_scientific_journal-2430	47	5	the	the	DET
american_scientific_journal-2430	47	6	strip	strip	NOUN
american_scientific_journal-2430	47	7	characteristics	characteristic	NOUN
american_scientific_journal-2430	47	8	after	after	ADP
american_scientific_journal-2430	47	9	choosing	choose	VERB
american_scientific_journal-2430	47	10	the	the	DET
american_scientific_journal-2430	47	11	displacement	displacement	ADJ
american_scientific_journal-2430	47	12	function	function	NOUN
american_scientific_journal-2430	47	13	for	for	ADP
american_scientific_journal-2430	47	14	describing	describe	VERB
american_scientific_journal-2430	47	15	the	the	DET
american_scientific_journal-2430	47	16	behavior	behavior	NOUN
american_scientific_journal-2430	47	17	of	of	ADP
american_scientific_journal-2430	47	18	the	the	DET
american_scientific_journal-2430	47	19	strip	strip	NOUN
american_scientific_journal-2430	47	20	element	element	NOUN
american_scientific_journal-2430	47	21	,	,	PUNCT
american_scientific_journal-2430	47	22	the	the	DET
american_scientific_journal-2430	47	23	analysis	analysis	NOUN
american_scientific_journal-2430	47	24	can	can	AUX
american_scientific_journal-2430	47	25	then	then	ADV
american_scientific_journal-2430	47	26	proceed	proceed	VERB
american_scientific_journal-2430	47	27	simply	simply	ADV
american_scientific_journal-2430	47	28	by	by	ADP
american_scientific_journal-2430	47	29	following	follow	VERB
american_scientific_journal-2430	47	30	the	the	DET
american_scientific_journal-2430	47	31	standard	standard	ADJ
american_scientific_journal-2430	47	32	procedures	procedure	NOUN
american_scientific_journal-2430	47	33	for	for	ADP
american_scientific_journal-2430	47	34	discrete	discrete	ADJ
american_scientific_journal-2430	47	35	systems	system	NOUN
american_scientific_journal-2430	47	36	using	use	VERB
american_scientific_journal-2430	47	37	displacement	displacement	ADJ
american_scientific_journal-2430	47	38	approach	approach	NOUN
american_scientific_journal-2430	47	39	.	.	PUNCT
american_scientific_journal-2430	48	1	the	the	DET
american_scientific_journal-2430	48	2	strip	strip	NOUN
american_scientific_journal-2430	48	3	characteristics	characteristic	NOUN
american_scientific_journal-2430	48	4	including	include	VERB
american_scientific_journal-2430	48	5	stiffness	stiffness	ADJ
american_scientific_journal-2430	48	6	matrix	matrix	NOUN
american_scientific_journal-2430	48	7	,	,	PUNCT
american_scientific_journal-2430	48	8	load	load	NOUN
american_scientific_journal-2430	48	9	matrix	matrix	NOUN
american_scientific_journal-2430	48	10	and	and	CCONJ
american_scientific_journal-2430	48	11	mass	mass	ADJ
american_scientific_journal-2430	48	12	matrix	matrix	NOUN
american_scientific_journal-2430	48	13	can	can	AUX
american_scientific_journal-2430	48	14	then	then	ADV
american_scientific_journal-2430	48	15	obtained	obtain	VERB
american_scientific_journal-2430	48	16	by	by	ADP
american_scientific_journal-2430	48	17	variational	variational	ADJ
american_scientific_journal-2430	48	18	method	method	NOUN
american_scientific_journal-2430	48	19	or	or	CCONJ
american_scientific_journal-2430	48	20	its	its	PRON
american_scientific_journal-2430	48	21	equivalencethe	equivalencethe	NOUN
american_scientific_journal-2430	48	22	principle	principle	NOUN
american_scientific_journal-2430	48	23	of	of	ADP
american_scientific_journal-2430	48	24	minimum	minimum	ADJ
american_scientific_journal-2430	48	25	total	total	ADJ
american_scientific_journal-2430	48	26	potential	potential	ADJ
american_scientific_journal-2430	48	27	energy	energy	NOUN
american_scientific_journal-2430	48	28	.	.	PUNCT
american_scientific_journal-2430	49	1	the	the	DET
american_scientific_journal-2430	49	2	basic	basic	ADJ
american_scientific_journal-2430	49	3	procedures	procedure	NOUN
american_scientific_journal-2430	49	4	are	be	AUX
american_scientific_journal-2430	49	5	as	as	ADP
american_scientific_journal-2430	49	6	following	follow	VERB
american_scientific_journal-2430	49	7	:	:	PUNCT
american_scientific_journal-2430	49	8	•	•	NOUN
american_scientific_journal-2430	49	9	choose	choose	VERB
american_scientific_journal-2430	49	10	a	a	DET
american_scientific_journal-2430	49	11	suitable	suitable	ADJ
american_scientific_journal-2430	49	12	displacement	displacement	NOUN
american_scientific_journal-2430	49	13	function	function	NOUN
american_scientific_journal-2430	50	1	[	[	X
american_scientific_journal-2430	50	2	f	f	X
american_scientific_journal-2430	50	3	]	]	X
american_scientific_journal-2430	50	4	for	for	ADP
american_scientific_journal-2430	50	5	all	all	DET
american_scientific_journal-2430	50	6	defined	define	VERB
american_scientific_journal-2430	50	7	degrees	degree	NOUN
american_scientific_journal-2430	50	8	of	of	ADP
american_scientific_journal-2430	50	9	freedom	freedom	NOUN
american_scientific_journal-2430	50	10	.	.	PUNCT
american_scientific_journal-2430	50	11	•	•	NUM
american_scientific_journal-2430	50	12	construct	construct	VERB
american_scientific_journal-2430	50	13	the	the	DET
american_scientific_journal-2430	50	14	strain	strain	NOUN
american_scientific_journal-2430	50	15	matrix	matrix	NOUN
american_scientific_journal-2430	51	1	[	[	X
american_scientific_journal-2430	51	2	b	b	X
american_scientific_journal-2430	51	3	]	]	X
american_scientific_journal-2430	51	4	according	accord	VERB
american_scientific_journal-2430	51	5	to	to	ADP
american_scientific_journal-2430	51	6	the	the	DET
american_scientific_journal-2430	51	7	kinematic	kinematic	ADJ
american_scientific_journal-2430	51	8	relationship	relationship	NOUN
american_scientific_journal-2430	51	9	between	between	ADP
american_scientific_journal-2430	51	10	strains	strain	NOUN
american_scientific_journal-2430	51	11	{	{	PUNCT
american_scientific_journal-2430	51	12	𝜀𝜀}and	𝜀𝜀}and	NOUN
american_scientific_journal-2430	51	13	displacement	displacement	ADJ
american_scientific_journal-2430	51	14	parameters	parameter	NOUN
american_scientific_journal-2430	51	15	{	{	PUNCT
american_scientific_journal-2430	51	16	𝜹𝜹	𝜹𝜹	NOUN
american_scientific_journal-2430	51	17	}	}	PUNCT
american_scientific_journal-2430	51	18	american	american	ADJ
american_scientific_journal-2430	51	19	scientific	scientific	ADJ
american_scientific_journal-2430	51	20	research	research	NOUN
american_scientific_journal-2430	51	21	journal	journal	NOUN
american_scientific_journal-2430	51	22	for	for	ADP
american_scientific_journal-2430	51	23	engineering	engineering	NOUN
american_scientific_journal-2430	51	24	,	,	PUNCT
american_scientific_journal-2430	51	25	technology	technology	NOUN
american_scientific_journal-2430	51	26	,	,	PUNCT
american_scientific_journal-2430	51	27	and	and	CCONJ
american_scientific_journal-2430	51	28	sciences	science	NOUN
american_scientific_journal-2430	51	29	(	(	PUNCT
american_scientific_journal-2430	51	30	asrjets	asrjet	NOUN
american_scientific_journal-2430	51	31	)	)	PUNCT
american_scientific_journal-2430	51	32	(	(	PUNCT
american_scientific_journal-2430	51	33	2016	2016	NUM
american_scientific_journal-2430	51	34	)	)	PUNCT
american_scientific_journal-2430	51	35	volume	volume	NOUN
american_scientific_journal-2430	51	36	26	26	NUM
american_scientific_journal-2430	51	37	,	,	PUNCT
american_scientific_journal-2430	51	38	no	no	DET
american_scientific_journal-2430	51	39	4	4	NUM
american_scientific_journal-2430	51	40	,	,	PUNCT
american_scientific_journal-2430	51	41	pp	pp	ADV
american_scientific_journal-2430	51	42	151	151	NUM
american_scientific_journal-2430	51	43	-	-	SYM
american_scientific_journal-2430	51	44	168	168	NUM
american_scientific_journal-2430	51	45	156	156	NUM
american_scientific_journal-2430	51	46	i.e.	i.e.	X
american_scientific_journal-2430	51	47	{	{	PUNCT
american_scientific_journal-2430	51	48	𝜺𝜺	𝜺𝜺	NOUN
american_scientific_journal-2430	51	49	}	}	PUNCT
american_scientific_journal-2430	51	50	=	=	PUNCT
american_scientific_journal-2430	52	1	[	[	X
american_scientific_journal-2430	52	2	b	b	X
american_scientific_journal-2430	52	3	]	]	X
american_scientific_journal-2430	52	4	{	{	PUNCT
american_scientific_journal-2430	52	5	𝜹𝜹	𝜹𝜹	NOUN
american_scientific_journal-2430	52	6	}	}	PUNCT
american_scientific_journal-2430	52	7	…	…	PUNCT
american_scientific_journal-2430	52	8	..	..	PUNCT
american_scientific_journal-2430	52	9	(	(	PUNCT
american_scientific_journal-2430	52	10	3	3	X
american_scientific_journal-2430	52	11	)	)	PUNCT
american_scientific_journal-2430	52	12	•	•	NOUN
american_scientific_journal-2430	52	13	connect	connect	VERB
american_scientific_journal-2430	52	14	the	the	DET
american_scientific_journal-2430	52	15	stress	stress	NOUN
american_scientific_journal-2430	52	16	{	{	PUNCT
american_scientific_journal-2430	52	17	𝝈𝝈	𝝈𝝈	X
american_scientific_journal-2430	52	18	}	}	PUNCT
american_scientific_journal-2430	52	19	to	to	ADP
american_scientific_journal-2430	52	20	the	the	DET
american_scientific_journal-2430	52	21	displacement	displacement	ADJ
american_scientific_journal-2430	52	22	parameters	parameter	NOUN
american_scientific_journal-2430	52	23	{	{	PUNCT
american_scientific_journal-2430	52	24	𝜹𝜹	𝜹𝜹	VERB
american_scientific_journal-2430	52	25	}	}	PUNCT
american_scientific_journal-2430	52	26	through	through	ADP
american_scientific_journal-2430	52	27	constitutive	constitutive	ADJ
american_scientific_journal-2430	52	28	equation	equation	NOUN
american_scientific_journal-2430	52	29	{	{	PUNCT
american_scientific_journal-2430	52	30	𝝈𝝈	𝝈𝝈	NOUN
american_scientific_journal-2430	52	31	}	}	PUNCT
american_scientific_journal-2430	52	32	=	=	PUNCT
american_scientific_journal-2430	53	1	[	[	X
american_scientific_journal-2430	53	2	d	d	X
american_scientific_journal-2430	53	3	]	]	X
american_scientific_journal-2430	53	4	{	{	PUNCT
american_scientific_journal-2430	53	5	𝜺𝜺	𝜺𝜺	PROPN
american_scientific_journal-2430	53	6	}	}	PUNCT
american_scientific_journal-2430	53	7	…	…	PUNCT
american_scientific_journal-2430	53	8	..	..	PUNCT
american_scientific_journal-2430	53	9	(	(	PUNCT
american_scientific_journal-2430	53	10	4	4	NUM
american_scientific_journal-2430	53	11	)	)	PUNCT
american_scientific_journal-2430	53	12	in	in	ADP
american_scientific_journal-2430	53	13	which	which	PRON
american_scientific_journal-2430	53	14	[	[	X
american_scientific_journal-2430	53	15	d	d	X
american_scientific_journal-2430	53	16	]	]	X
american_scientific_journal-2430	53	17	is	be	AUX
american_scientific_journal-2430	53	18	the	the	DET
american_scientific_journal-2430	53	19	property	property	NOUN
american_scientific_journal-2430	53	20	matrix	matrix	NOUN
american_scientific_journal-2430	53	21	.	.	PUNCT
american_scientific_journal-2430	54	1	hence	hence	ADV
american_scientific_journal-2430	54	2	{	{	PUNCT
american_scientific_journal-2430	54	3	𝝈𝝈	𝝈𝝈	NOUN
american_scientific_journal-2430	54	4	}	}	PUNCT
american_scientific_journal-2430	54	5	=	=	PUNCT
american_scientific_journal-2430	55	1	[	[	X
american_scientific_journal-2430	55	2	d	d	X
american_scientific_journal-2430	55	3	]	]	X
american_scientific_journal-2430	55	4	[	[	X
american_scientific_journal-2430	55	5	b	b	X
american_scientific_journal-2430	55	6	]	]	X
american_scientific_journal-2430	55	7	{	{	PUNCT
american_scientific_journal-2430	55	8	𝜹𝜹	𝜹𝜹	NOUN
american_scientific_journal-2430	55	9	}	}	PUNCT
american_scientific_journal-2430	55	10	…	…	PUNCT
american_scientific_journal-2430	55	11	..	..	PUNCT
american_scientific_journal-2430	55	12	(	(	PUNCT
american_scientific_journal-2430	55	13	5	5	NUM
american_scientific_journal-2430	55	14	)	)	PUNCT
american_scientific_journal-2430	55	15	•	•	NOUN
american_scientific_journal-2430	55	16	drive	drive	VERB
american_scientific_journal-2430	55	17	the	the	DET
american_scientific_journal-2430	55	18	stiffness	stiffness	ADJ
american_scientific_journal-2430	55	19	matrix	matrix	NOUN
american_scientific_journal-2430	55	20	and	and	CCONJ
american_scientific_journal-2430	55	21	load	load	NOUN
american_scientific_journal-2430	55	22	matrix	matrix	NOUN
american_scientific_journal-2430	55	23	through	through	ADP
american_scientific_journal-2430	55	24	the	the	DET
american_scientific_journal-2430	55	25	principle	principle	NOUN
american_scientific_journal-2430	55	26	of	of	ADP
american_scientific_journal-2430	55	27	minimum	minimum	ADJ
american_scientific_journal-2430	55	28	total	total	ADJ
american_scientific_journal-2430	55	29	potential	potential	ADJ
american_scientific_journal-2430	55	30	energy	energy	NOUN
american_scientific_journal-2430	55	31	.	.	PUNCT
american_scientific_journal-2430	56	1	the	the	DET
american_scientific_journal-2430	56	2	potential	potential	ADJ
american_scientific_journal-2430	56	3	energy	energy	NOUN
american_scientific_journal-2430	56	4	consist	consist	NOUN
american_scientific_journal-2430	56	5	of	of	ADP
american_scientific_journal-2430	56	6	two	two	NUM
american_scientific_journal-2430	56	7	parts	part	NOUN
american_scientific_journal-2430	56	8	:	:	PUNCT
american_scientific_journal-2430	56	9	(	(	PUNCT
american_scientific_journal-2430	56	10	i	i	NOUN
american_scientific_journal-2430	56	11	)	)	PUNCT
american_scientific_journal-2430	56	12	strain	strain	VERB
american_scientific_journal-2430	56	13	energy	energy	NOUN
american_scientific_journal-2430	56	14	stored	store	VERB
american_scientific_journal-2430	56	15	in	in	ADP
american_scientific_journal-2430	56	16	the	the	DET
american_scientific_journal-2430	56	17	strips	strip	NOUN
american_scientific_journal-2430	56	18	of	of	ADP
american_scientific_journal-2430	56	19	volume	volume	NOUN
american_scientific_journal-2430	56	20	v	v	ADP
american_scientific_journal-2430	56	21	i.e.	i.e.	X
american_scientific_journal-2430	56	22	𝝅𝝅𝟏𝟏	𝝅𝝅𝟏𝟏	PROPN
american_scientific_journal-2430	56	23	=	=	SYM
american_scientific_journal-2430	57	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-2430	57	2	𝟐𝟐	𝟐𝟐	NUM
american_scientific_journal-2430	57	3	∫	∫	PROPN
american_scientific_journal-2430	57	4	{	{	PUNCT
american_scientific_journal-2430	57	5	𝜺𝜺}𝑻𝑻𝑽𝑽	𝜺𝜺}𝑻𝑻𝑽𝑽	X
american_scientific_journal-2430	57	6	.	.	PUNCT
american_scientific_journal-2430	58	1	{	{	PUNCT
american_scientific_journal-2430	58	2	𝝈𝝈	𝝈𝝈	NOUN
american_scientific_journal-2430	58	3	}	}	PUNCT
american_scientific_journal-2430	58	4	dv	dv	PROPN
american_scientific_journal-2430	58	5	=	=	PROPN
american_scientific_journal-2430	59	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-2430	59	2	𝟐𝟐	𝟐𝟐	NUM
american_scientific_journal-2430	59	3	∫	∫	PROPN
american_scientific_journal-2430	59	4	{	{	PUNCT
american_scientific_journal-2430	59	5	𝜹𝜹}𝑻𝑻𝑽𝑽	𝜹𝜹}𝑻𝑻𝑽𝑽	PROPN
american_scientific_journal-2430	59	6	.	.	PUNCT
american_scientific_journal-2430	60	1	[	[	X
american_scientific_journal-2430	60	2	b]t	b]t	NOUN
american_scientific_journal-2430	60	3	[	[	X
american_scientific_journal-2430	60	4	d	d	X
american_scientific_journal-2430	60	5	]	]	X
american_scientific_journal-2430	61	1	[	[	X
american_scientific_journal-2430	61	2	b	b	X
american_scientific_journal-2430	61	3	]	]	X
american_scientific_journal-2430	61	4	{	{	PUNCT
american_scientific_journal-2430	61	5	𝜹𝜹}dv	𝜹𝜹}dv	NOUN
american_scientific_journal-2430	61	6	…	…	PUNCT
american_scientific_journal-2430	61	7	..	..	PUNCT
american_scientific_journal-2430	61	8	(	(	PUNCT
american_scientific_journal-2430	61	9	6	6	NUM
american_scientific_journal-2430	61	10	)	)	PUNCT
american_scientific_journal-2430	61	11	(	(	PUNCT
american_scientific_journal-2430	61	12	ii	ii	NOUN
american_scientific_journal-2430	61	13	)	)	PUNCT
american_scientific_journal-2430	61	14	potential	potential	ADJ
american_scientific_journal-2430	61	15	energy	energy	NOUN
american_scientific_journal-2430	61	16	of	of	ADP
american_scientific_journal-2430	61	17	the	the	DET
american_scientific_journal-2430	61	18	applied	apply	VERB
american_scientific_journal-2430	61	19	loads	load	NOUN
american_scientific_journal-2430	61	20	𝑞𝑞𝑖𝑖	𝑞𝑞𝑖𝑖	NOUN
american_scientific_journal-2430	61	21	over	over	ADP
american_scientific_journal-2430	61	22	area	area	NOUN
american_scientific_journal-2430	61	23	𝐴𝐴𝑖𝑖	𝐴𝐴𝑖𝑖	PROPN
american_scientific_journal-2430	61	24	respectively	respectively	ADV
american_scientific_journal-2430	61	25	.	.	PUNCT
american_scientific_journal-2430	62	1	i.e.	i.e.	X
american_scientific_journal-2430	62	2	𝝅𝝅𝟐𝟐	𝝅𝝅𝟐𝟐	PROPN
american_scientific_journal-2430	62	3	=	=	SYM
american_scientific_journal-2430	62	4	∑	∑	PROPN
american_scientific_journal-2430	62	5	∫	∫	PROPN
american_scientific_journal-2430	62	6	{	{	PUNCT
american_scientific_journal-2430	62	7	𝐟𝐟}𝑨𝑨𝑨𝑨𝑨𝑨	𝐟𝐟}𝑨𝑨𝑨𝑨𝑨𝑨	PROPN
american_scientific_journal-2430	62	8	t.	t.	PROPN
american_scientific_journal-2430	62	9	𝒒𝒒𝑨𝑨	𝒒𝒒𝑨𝑨	NOUN
american_scientific_journal-2430	62	10	d𝑨𝑨𝑨𝑨	d𝑨𝑨𝑨𝑨	PROPN
american_scientific_journal-2430	62	11	=	=	PUNCT
american_scientific_journal-2430	62	12	∑	∑	PROPN
american_scientific_journal-2430	62	13	∫	∫	PROPN
american_scientific_journal-2430	62	14	{	{	PUNCT
american_scientific_journal-2430	62	15	𝛅𝛅}𝑨𝑨𝑨𝑨𝑨𝑨	𝛅𝛅}𝑨𝑨𝑨𝑨𝑨𝑨	PROPN
american_scientific_journal-2430	62	16	t	t	NOUN
american_scientific_journal-2430	63	1	[	[	X
american_scientific_journal-2430	63	2	𝚽𝚽]t	𝚽𝚽]t	NOUN
american_scientific_journal-2430	64	1	[	[	X
american_scientific_journal-2430	64	2	n]t	n]t	NOUN
american_scientific_journal-2430	64	3	.	.	PUNCT
american_scientific_journal-2430	65	1	𝒒𝒒𝑨𝑨	𝒒𝒒𝑨𝑨	X
american_scientific_journal-2430	65	2	d𝑨𝑨𝑨𝑨	d𝑨𝑨𝑨𝑨	NUM
american_scientific_journal-2430	65	3	…	…	PUNCT
american_scientific_journal-2430	65	4	..	..	PUNCT
american_scientific_journal-2430	65	5	(	(	PUNCT
american_scientific_journal-2430	65	6	7	7	X
american_scientific_journal-2430	65	7	)	)	PUNCT
american_scientific_journal-2430	65	8	hence	hence	ADV
american_scientific_journal-2430	65	9	,	,	PUNCT
american_scientific_journal-2430	65	10	the	the	DET
american_scientific_journal-2430	65	11	total	total	ADJ
american_scientific_journal-2430	65	12	potential	potential	ADJ
american_scientific_journal-2430	65	13	energy	energy	NOUN
american_scientific_journal-2430	65	14	of	of	ADP
american_scientific_journal-2430	65	15	the	the	DET
american_scientific_journal-2430	65	16	system	system	NOUN
american_scientific_journal-2430	65	17	is	be	AUX
american_scientific_journal-2430	65	18	𝝅𝝅	𝝅𝝅	PROPN
american_scientific_journal-2430	65	19	=	=	PUNCT
american_scientific_journal-2430	65	20	𝝅𝝅𝟏𝟏	𝝅𝝅𝟏𝟏	PROPN
american_scientific_journal-2430	65	21	+	+	CCONJ
american_scientific_journal-2430	65	22	𝝅𝝅𝟐𝟐	𝝅𝝅𝟐𝟐	PROPN
american_scientific_journal-2430	65	23	=	=	PROPN
american_scientific_journal-2430	66	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-2430	66	2	𝟐𝟐	𝟐𝟐	NUM
american_scientific_journal-2430	66	3	∫	∫	PROPN
american_scientific_journal-2430	66	4	{	{	PUNCT
american_scientific_journal-2430	66	5	𝜹𝜹}𝑻𝑻𝑽𝑽	𝜹𝜹}𝑻𝑻𝑽𝑽	PROPN
american_scientific_journal-2430	66	6	.	.	PUNCT
american_scientific_journal-2430	67	1	[	[	X
american_scientific_journal-2430	67	2	b]t	b]t	NOUN
american_scientific_journal-2430	67	3	[	[	X
american_scientific_journal-2430	67	4	d	d	X
american_scientific_journal-2430	67	5	]	]	X
american_scientific_journal-2430	67	6	[	[	X
american_scientific_journal-2430	67	7	b	b	X
american_scientific_journal-2430	67	8	]	]	X
american_scientific_journal-2430	67	9	{	{	PUNCT
american_scientific_journal-2430	67	10	𝜹𝜹}dv	𝜹𝜹}dv	NOUN
american_scientific_journal-2430	67	11	∑	∑	PROPN
american_scientific_journal-2430	67	12	∫	∫	PROPN
american_scientific_journal-2430	67	13	{	{	PUNCT
american_scientific_journal-2430	67	14	𝛅𝛅}𝑨𝑨𝑨𝑨𝑨𝑨	𝛅𝛅}𝑨𝑨𝑨𝑨𝑨𝑨	PROPN
american_scientific_journal-2430	67	15	t	t	NOUN
american_scientific_journal-2430	67	16	[	[	X
american_scientific_journal-2430	67	17	𝚽𝚽]t	𝚽𝚽]t	NOUN
american_scientific_journal-2430	68	1	[	[	X
american_scientific_journal-2430	68	2	n]t	n]t	NOUN
american_scientific_journal-2430	68	3	.	.	PUNCT
american_scientific_journal-2430	69	1	𝒒𝒒𝑨𝑨	𝒒𝒒𝑨𝑨	X
american_scientific_journal-2430	69	2	d𝑨𝑨𝑨𝑨	d𝑨𝑨𝑨𝑨	NUM
american_scientific_journal-2430	69	3	…	…	PUNCT
american_scientific_journal-2430	69	4	..	..	PUNCT
american_scientific_journal-2430	69	5	(	(	PUNCT
american_scientific_journal-2430	69	6	8)	8)	NUM
american_scientific_journal-2430	69	7	it	it	PRON
american_scientific_journal-2430	69	8	depends	depend	VERB
american_scientific_journal-2430	69	9	on	on	ADP
american_scientific_journal-2430	69	10	the	the	DET
american_scientific_journal-2430	69	11	variables	variable	NOUN
american_scientific_journal-2430	69	12	{	{	PUNCT
american_scientific_journal-2430	69	13	𝜹𝜹	𝜹𝜹	NOUN
american_scientific_journal-2430	69	14	}	}	PUNCT
american_scientific_journal-2430	69	15	only	only	ADV
american_scientific_journal-2430	69	16	.	.	PUNCT
american_scientific_journal-2430	70	1	by	by	ADP
american_scientific_journal-2430	70	2	taking	take	VERB
american_scientific_journal-2430	70	3	first	first	ADJ
american_scientific_journal-2430	70	4	variation	variation	NOUN
american_scientific_journal-2430	70	5	,	,	PUNCT
american_scientific_journal-2430	70	6	𝝏𝝏𝝅𝝅	𝝏𝝏𝝅𝝅	ADV
american_scientific_journal-2430	70	7	=	=	SYM
american_scientific_journal-2430	70	8	0	0	PUNCT
american_scientific_journal-2430	70	9	,	,	PUNCT
american_scientific_journal-2430	70	10	it	it	PRON
american_scientific_journal-2430	70	11	gives	give	VERB
american_scientific_journal-2430	70	12	[	[	X
american_scientific_journal-2430	70	13	∫	∫	PROPN
american_scientific_journal-2430	70	14	[	[	X
american_scientific_journal-2430	70	15	𝐁𝐁]𝑽𝑽	𝐁𝐁]𝑽𝑽	NOUN
american_scientific_journal-2430	70	16	t	t	X
american_scientific_journal-2430	71	1	[	[	X
american_scientific_journal-2430	71	2	d	d	X
american_scientific_journal-2430	71	3	]	]	X
american_scientific_journal-2430	71	4	[	[	X
american_scientific_journal-2430	71	5	b	b	X
american_scientific_journal-2430	71	6	]	]	X
american_scientific_journal-2430	71	7	dv	dv	PROPN
american_scientific_journal-2430	71	8	]	]	X
american_scientific_journal-2430	71	9	{	{	PUNCT
american_scientific_journal-2430	71	10	𝜹𝜹	𝜹𝜹	NOUN
american_scientific_journal-2430	71	11	}	}	PUNCT
american_scientific_journal-2430	71	12	=	=	SYM
american_scientific_journal-2430	71	13	∑	∑	PUNCT
american_scientific_journal-2430	71	14	∫	∫	PROPN
american_scientific_journal-2430	72	1	𝑨𝑨𝑨𝑨𝑨𝑨	𝑨𝑨𝑨𝑨𝑨𝑨	PROPN
american_scientific_journal-2430	73	1	[	[	X
american_scientific_journal-2430	73	2	𝚽𝚽]t	𝚽𝚽]t	NOUN
american_scientific_journal-2430	74	1	[	[	X
american_scientific_journal-2430	74	2	n]t	n]t	INTJ
american_scientific_journal-2430	74	3	𝒒𝒒𝑨𝑨	𝒒𝒒𝑨𝑨	PUNCT
american_scientific_journal-2430	74	4	d𝑨𝑨𝑨𝑨	d𝑨𝑨𝑨𝑨	NUM
american_scientific_journal-2430	74	5	…	…	PUNCT
american_scientific_journal-2430	74	6	..	..	PUNCT
american_scientific_journal-2430	74	7	(	(	PUNCT
american_scientific_journal-2430	74	8	9	9	NUM
american_scientific_journal-2430	74	9	)	)	PUNCT
american_scientific_journal-2430	74	10	in	in	ADP
american_scientific_journal-2430	74	11	short	short	ADJ
american_scientific_journal-2430	74	12	form	form	NOUN
american_scientific_journal-2430	74	13	,	,	PUNCT
american_scientific_journal-2430	74	14	[	[	X
american_scientific_journal-2430	74	15	k	k	X
american_scientific_journal-2430	74	16	]	]	PUNCT
american_scientific_journal-2430	74	17	.	.	PUNCT
american_scientific_journal-2430	75	1	{	{	PUNCT
american_scientific_journal-2430	75	2	𝜹𝜹	𝜹𝜹	NOUN
american_scientific_journal-2430	75	3	}	}	PUNCT
american_scientific_journal-2430	75	4	=	=	SYM
american_scientific_journal-2430	75	5	{	{	PUNCT
american_scientific_journal-2430	75	6	f	f	NOUN
american_scientific_journal-2430	75	7	}	}	PUNCT
american_scientific_journal-2430	75	8	…	…	PUNCT
american_scientific_journal-2430	75	9	..	..	PUNCT
american_scientific_journal-2430	75	10	(	(	PUNCT
american_scientific_journal-2430	75	11	10	10	NUM
american_scientific_journal-2430	75	12	)	)	PUNCT
american_scientific_journal-2430	75	13	•	•	X
american_scientific_journal-2430	75	14	carry	carry	VERB
american_scientific_journal-2430	75	15	out	out	ADP
american_scientific_journal-2430	75	16	the	the	DET
american_scientific_journal-2430	75	17	integrations	integration	NOUN
american_scientific_journal-2430	75	18	over	over	ADP
american_scientific_journal-2430	75	19	the	the	DET
american_scientific_journal-2430	75	20	whole	whole	ADJ
american_scientific_journal-2430	75	21	volume	volume	NOUN
american_scientific_journal-2430	75	22	of	of	ADP
american_scientific_journal-2430	75	23	each	each	DET
american_scientific_journal-2430	75	24	strip	strip	NOUN
american_scientific_journal-2430	75	25	or	or	CCONJ
american_scientific_journal-2430	75	26	the	the	DET
american_scientific_journal-2430	75	27	loaded	load	VERB
american_scientific_journal-2430	75	28	area	area	NOUN
american_scientific_journal-2430	75	29	and	and	CCONJ
american_scientific_journal-2430	75	30	use	use	VERB
american_scientific_journal-2430	75	31	the	the	DET
american_scientific_journal-2430	75	32	following	follow	VERB
american_scientific_journal-2430	75	33	american	american	ADJ
american_scientific_journal-2430	75	34	scientific	scientific	ADJ
american_scientific_journal-2430	75	35	research	research	NOUN
american_scientific_journal-2430	75	36	journal	journal	NOUN
american_scientific_journal-2430	75	37	for	for	ADP
american_scientific_journal-2430	75	38	engineering	engineering	NOUN
american_scientific_journal-2430	75	39	,	,	PUNCT
american_scientific_journal-2430	75	40	technology	technology	NOUN
american_scientific_journal-2430	75	41	,	,	PUNCT
american_scientific_journal-2430	75	42	and	and	CCONJ
american_scientific_journal-2430	75	43	sciences	science	NOUN
american_scientific_journal-2430	75	44	(	(	PUNCT
american_scientific_journal-2430	75	45	asrjets	asrjet	NOUN
american_scientific_journal-2430	75	46	)	)	PUNCT
american_scientific_journal-2430	75	47	(	(	PUNCT
american_scientific_journal-2430	75	48	2016	2016	NUM
american_scientific_journal-2430	75	49	)	)	PUNCT
american_scientific_journal-2430	75	50	volume	volume	NOUN
american_scientific_journal-2430	75	51	26	26	NUM
american_scientific_journal-2430	75	52	,	,	PUNCT
american_scientific_journal-2430	75	53	no	no	DET
american_scientific_journal-2430	75	54	4	4	NUM
american_scientific_journal-2430	75	55	,	,	PUNCT
american_scientific_journal-2430	75	56	pp	pp	ADV
american_scientific_journal-2430	75	57	151	151	NUM
american_scientific_journal-2430	75	58	-	-	SYM
american_scientific_journal-2430	75	59	168	168	NUM
american_scientific_journal-2430	75	60	157	157	NUM
american_scientific_journal-2430	75	61	expressions	expression	NOUN
american_scientific_journal-2430	75	62	to	to	PART
american_scientific_journal-2430	75	63	obtain	obtain	VERB
american_scientific_journal-2430	75	64	the	the	DET
american_scientific_journal-2430	75	65	stiffness	stiffness	ADJ
american_scientific_journal-2430	75	66	matrix	matrix	NOUN
american_scientific_journal-2430	75	67	[	[	X
american_scientific_journal-2430	75	68	k]e	k]e	PROPN
american_scientific_journal-2430	75	69	,	,	PUNCT
american_scientific_journal-2430	75	70	mass	mass	ADJ
american_scientific_journal-2430	75	71	matrix	matrix	NOUN
american_scientific_journal-2430	75	72	[	[	X
american_scientific_journal-2430	75	73	m]e	m]e	NOUN
american_scientific_journal-2430	75	74	and	and	CCONJ
american_scientific_journal-2430	75	75	the	the	DET
american_scientific_journal-2430	75	76	load	load	NOUN
american_scientific_journal-2430	75	77	matrix	matrix	NOUN
american_scientific_journal-2430	75	78	{	{	PUNCT
american_scientific_journal-2430	75	79	f}e	f}e	NOUN
american_scientific_journal-2430	75	80	respectively	respectively	ADV
american_scientific_journal-2430	75	81	.	.	PUNCT
american_scientific_journal-2430	76	1	i.e.	i.e.	X
american_scientific_journal-2430	76	2	[	[	X
american_scientific_journal-2430	76	3	k]e	k]e	X
american_scientific_journal-2430	76	4	=	=	SYM
american_scientific_journal-2430	76	5	∫	∫	PROPN
american_scientific_journal-2430	77	1	[	[	X
american_scientific_journal-2430	77	2	𝐁𝐁]𝑽𝑽	𝐁𝐁]𝑽𝑽	NOUN
american_scientific_journal-2430	77	3	t	t	X
american_scientific_journal-2430	77	4	[	[	X
american_scientific_journal-2430	77	5	d	d	X
american_scientific_journal-2430	77	6	]	]	X
american_scientific_journal-2430	77	7	[	[	X
american_scientific_journal-2430	77	8	b	b	X
american_scientific_journal-2430	77	9	]	]	X
american_scientific_journal-2430	77	10	dv	dv	PROPN
american_scientific_journal-2430	77	11	…	…	PUNCT
american_scientific_journal-2430	77	12	..	..	PUNCT
american_scientific_journal-2430	77	13	(	(	PUNCT
american_scientific_journal-2430	77	14	11	11	NUM
american_scientific_journal-2430	77	15	)	)	SYM
american_scientific_journal-2430	77	16	5	5	NUM
american_scientific_journal-2430	77	17	.	.	PUNCT
american_scientific_journal-2430	78	1	analysis	analysis	NOUN
american_scientific_journal-2430	78	2	of	of	ADP
american_scientific_journal-2430	78	3	thin	thin	ADJ
american_scientific_journal-2430	78	4	rectangular	rectangular	ADJ
american_scientific_journal-2430	78	5	plates	plate	NOUN
american_scientific_journal-2430	78	6	in	in	ADP
american_scientific_journal-2430	78	7	bending	bend	VERB
american_scientific_journal-2430	78	8	by	by	ADP
american_scientific_journal-2430	78	9	spline	spline	PROPN
american_scientific_journal-2430	78	10	finite	finite	PROPN
american_scientific_journal-2430	78	11	strip	strip	PROPN
american_scientific_journal-2430	78	12	method	method	NOUN
american_scientific_journal-2430	78	13	(	(	PUNCT
american_scientific_journal-2430	78	14	sfsm	sfsm	PROPN
american_scientific_journal-2430	78	15	)	)	PUNCT
american_scientific_journal-2430	78	16	the	the	DET
american_scientific_journal-2430	78	17	behavior	behavior	NOUN
american_scientific_journal-2430	78	18	of	of	ADP
american_scientific_journal-2430	78	19	a	a	DET
american_scientific_journal-2430	78	20	strip	strip	NOUN
american_scientific_journal-2430	78	21	in	in	ADP
american_scientific_journal-2430	78	22	the	the	DET
american_scientific_journal-2430	78	23	spline	spline	NOUN
american_scientific_journal-2430	78	24	finite	finite	PROPN
american_scientific_journal-2430	78	25	strip	strip	PROPN
american_scientific_journal-2430	78	26	analysis	analysis	NOUN
american_scientific_journal-2430	78	27	is	be	AUX
american_scientific_journal-2430	78	28	described	describe	VERB
american_scientific_journal-2430	78	29	by	by	ADP
american_scientific_journal-2430	78	30	its	its	PRON
american_scientific_journal-2430	78	31	two	two	NUM
american_scientific_journal-2430	78	32	boundary	boundary	ADJ
american_scientific_journal-2430	78	33	nodal	nodal	NOUN
american_scientific_journal-2430	78	34	lines	line	NOUN
american_scientific_journal-2430	78	35	.	.	PUNCT
american_scientific_journal-2430	79	1	so	so	ADV
american_scientific_journal-2430	79	2	,	,	PUNCT
american_scientific_journal-2430	79	3	the	the	DET
american_scientific_journal-2430	79	4	prescribed	prescribed	ADJ
american_scientific_journal-2430	79	5	conditions	condition	NOUN
american_scientific_journal-2430	79	6	have	have	AUX
american_scientific_journal-2430	79	7	been	be	AUX
american_scientific_journal-2430	79	8	incorporated	incorporate	VERB
american_scientific_journal-2430	79	9	into	into	ADP
american_scientific_journal-2430	79	10	the	the	DET
american_scientific_journal-2430	79	11	b3	b3	NOUN
american_scientific_journal-2430	79	12	-	-	PUNCT
american_scientific_journal-2430	79	13	spline	spline	NOUN
american_scientific_journal-2430	79	14	expression	expression	NOUN
american_scientific_journal-2430	79	15	for	for	ADP
american_scientific_journal-2430	79	16	the	the	DET
american_scientific_journal-2430	79	17	nodal	nodal	NOUN
american_scientific_journal-2430	79	18	lines	line	NOUN
american_scientific_journal-2430	79	19	,	,	PUNCT
american_scientific_journal-2430	79	20	hence	hence	ADV
american_scientific_journal-2430	79	21	,	,	PUNCT
american_scientific_journal-2430	79	22	there	there	PRON
american_scientific_journal-2430	79	23	will	will	AUX
american_scientific_journal-2430	79	24	be	be	AUX
american_scientific_journal-2430	79	25	no	no	DET
american_scientific_journal-2430	79	26	difference	difference	NOUN
american_scientific_journal-2430	79	27	in	in	ADP
american_scientific_journal-2430	79	28	solution	solution	NOUN
american_scientific_journal-2430	79	29	procedures	procedure	NOUN
american_scientific_journal-2430	79	30	for	for	ADP
american_scientific_journal-2430	79	31	different	different	ADJ
american_scientific_journal-2430	79	32	boundary	boundary	ADJ
american_scientific_journal-2430	79	33	or	or	CCONJ
american_scientific_journal-2430	79	34	interior	interior	ADJ
american_scientific_journal-2430	79	35	conditions	condition	NOUN
american_scientific_journal-2430	79	36	.	.	PUNCT
american_scientific_journal-2430	80	1	the	the	DET
american_scientific_journal-2430	80	2	solution	solution	NOUN
american_scientific_journal-2430	80	3	presented	present	VERB
american_scientific_journal-2430	80	4	here	here	ADV
american_scientific_journal-2430	80	5	is	be	AUX
american_scientific_journal-2430	80	6	based	base	VERB
american_scientific_journal-2430	80	7	on	on	ADP
american_scientific_journal-2430	80	8	kirchhoff	kirchhoff	NOUN
american_scientific_journal-2430	80	9	's	's	PART
american_scientific_journal-2430	80	10	theory	theory	NOUN
american_scientific_journal-2430	80	11	,	,	PUNCT
american_scientific_journal-2430	80	12	which	which	PRON
american_scientific_journal-2430	80	13	enables	enable	VERB
american_scientific_journal-2430	80	14	the	the	DET
american_scientific_journal-2430	80	15	problem	problem	NOUN
american_scientific_journal-2430	80	16	of	of	ADP
american_scientific_journal-2430	80	17	thin	thin	ADJ
american_scientific_journal-2430	80	18	plate	plate	NOUN
american_scientific_journal-2430	80	19	bending	bend	VERB
american_scientific_journal-2430	80	20	to	to	PART
american_scientific_journal-2430	80	21	be	be	AUX
american_scientific_journal-2430	80	22	treated	treat	VERB
american_scientific_journal-2430	80	23	as	as	ADP
american_scientific_journal-2430	80	24	a	a	DET
american_scientific_journal-2430	80	25	two	two	NUM
american_scientific_journal-2430	80	26	dimensional	dimensional	ADJ
american_scientific_journal-2430	80	27	one	one	NUM
american_scientific_journal-2430	80	28	.	.	PUNCT
american_scientific_journal-2430	81	1	5.1	5.1	NUM
american_scientific_journal-2430	81	2	degrees	degree	NOUN
american_scientific_journal-2430	81	3	of	of	ADP
american_scientific_journal-2430	81	4	freedom	freedom	NOUN
american_scientific_journal-2430	81	5	two	two	NUM
american_scientific_journal-2430	81	6	degree	degree	NOUN
american_scientific_journal-2430	81	7	of	of	ADP
american_scientific_journal-2430	81	8	freedom	freedom	NOUN
american_scientific_journal-2430	81	9	for	for	ADP
american_scientific_journal-2430	81	10	each	each	DET
american_scientific_journal-2430	81	11	nodal	nodal	NOUN
american_scientific_journal-2430	81	12	line	line	NOUN
american_scientific_journal-2430	81	13	(	(	PUNCT
american_scientific_journal-2430	81	14	according	accord	VERB
american_scientific_journal-2430	81	15	to	to	ADP
american_scientific_journal-2430	81	16	the	the	DET
american_scientific_journal-2430	81	17	convergence	convergence	NOUN
american_scientific_journal-2430	81	18	criteria	criterion	NOUN
american_scientific_journal-2430	81	19	)	)	PUNCT
american_scientific_journal-2430	81	20	are	be	AUX
american_scientific_journal-2430	81	21	necessary	necessary	ADJ
american_scientific_journal-2430	81	22	to	to	PART
american_scientific_journal-2430	81	23	acquire	acquire	VERB
american_scientific_journal-2430	81	24	the	the	DET
american_scientific_journal-2430	81	25	minimum	minimum	ADJ
american_scientific_journal-2430	81	26	compatibility	compatibility	NOUN
american_scientific_journal-2430	81	27	conditions	condition	NOUN
american_scientific_journal-2430	81	28	.	.	PUNCT
american_scientific_journal-2430	82	1	i.e.	i.e.	X
american_scientific_journal-2430	82	2	the	the	DET
american_scientific_journal-2430	82	3	lateral	lateral	ADJ
american_scientific_journal-2430	82	4	displacement	displacement	NOUN
american_scientific_journal-2430	82	5	,	,	PUNCT
american_scientific_journal-2430	82	6	w	w	NOUN
american_scientific_journal-2430	82	7	,	,	PUNCT
american_scientific_journal-2430	82	8	and	and	CCONJ
american_scientific_journal-2430	82	9	the	the	DET
american_scientific_journal-2430	82	10	first	first	ADJ
american_scientific_journal-2430	82	11	derivative	derivative	NOUN
american_scientific_journal-2430	82	12	,	,	PUNCT
american_scientific_journal-2430	82	13	𝛉𝛉𝒙𝒙𝒙𝒙	𝛉𝛉𝒙𝒙𝒙𝒙	NOUN
american_scientific_journal-2430	82	14	=	=	SYM
american_scientific_journal-2430	82	15	𝝏𝝏𝒘𝒘	𝝏𝝏𝒘𝒘	PROPN
american_scientific_journal-2430	82	16	𝝏𝝏𝒙𝒙	𝝏𝝏𝒙𝒙	PROPN
american_scientific_journal-2430	82	17	with	with	ADP
american_scientific_journal-2430	82	18	respect	respect	NOUN
american_scientific_journal-2430	82	19	to	to	ADP
american_scientific_journal-2430	82	20	the	the	DET
american_scientific_journal-2430	82	21	transverse	transverse	NOUN
american_scientific_journal-2430	82	22	x	x	NOUN
american_scientific_journal-2430	82	23	-	-	NOUN
american_scientific_journal-2430	82	24	axis	axis	ADJ
american_scientific_journal-2430	82	25	,	,	PUNCT
american_scientific_journal-2430	82	26	as	as	SCONJ
american_scientific_journal-2430	82	27	shown	show	VERB
american_scientific_journal-2430	82	28	in	in	ADP
american_scientific_journal-2430	82	29	figure	figure	NOUN
american_scientific_journal-2430	82	30	5	5	NUM
american_scientific_journal-2430	82	31	.	.	PUNCT
american_scientific_journal-2430	82	32	figure	figure	VERB
american_scientific_journal-2430	82	33	5	5	NUM
american_scientific_journal-2430	82	34	:	:	PUNCT
american_scientific_journal-2430	82	35	rectangular	rectangular	ADJ
american_scientific_journal-2430	82	36	plate	plate	NOUN
american_scientific_journal-2430	82	37	strip	strip	NOUN
american_scientific_journal-2430	82	38	analysis	analysis	NOUN
american_scientific_journal-2430	82	39	.	.	PUNCT
american_scientific_journal-2430	83	1	(	(	PUNCT
american_scientific_journal-2430	83	2	a	a	X
american_scientific_journal-2430	83	3	)	)	PUNCT
american_scientific_journal-2430	83	4	plate	plate	NOUN
american_scientific_journal-2430	83	5	as	as	ADP
american_scientific_journal-2430	83	6	an	an	DET
american_scientific_journal-2430	83	7	assembly	assembly	NOUN
american_scientific_journal-2430	83	8	of	of	ADP
american_scientific_journal-2430	83	9	strips	strip	NOUN
american_scientific_journal-2430	83	10	;	;	PUNCT
american_scientific_journal-2430	83	11	(	(	PUNCT
american_scientific_journal-2430	83	12	b	b	X
american_scientific_journal-2430	83	13	)	)	PUNCT
american_scientific_journal-2430	83	14	typical	typical	ADJ
american_scientific_journal-2430	83	15	strip	strip	NOUN
american_scientific_journal-2430	83	16	5.2	5.2	NUM
american_scientific_journal-2430	83	17	stiffness	stiffness	NOUN
american_scientific_journal-2430	83	18	matrices	matrice	VERB
american_scientific_journal-2430	83	19	the	the	DET
american_scientific_journal-2430	83	20	stiffness	stiffness	ADJ
american_scientific_journal-2430	83	21	matrix	matrix	NOUN
american_scientific_journal-2430	83	22	[	[	X
american_scientific_journal-2430	83	23	k	k	X
american_scientific_journal-2430	83	24	]	]	X
american_scientific_journal-2430	83	25	can	can	AUX
american_scientific_journal-2430	83	26	be	be	AUX
american_scientific_journal-2430	83	27	worked	work	VERB
american_scientific_journal-2430	83	28	manually	manually	ADV
american_scientific_journal-2430	83	29	and	and	CCONJ
american_scientific_journal-2430	83	30	expressed	express	VERB
american_scientific_journal-2430	83	31	in	in	ADP
american_scientific_journal-2430	83	32	explicit	explicit	ADJ
american_scientific_journal-2430	83	33	form	form	NOUN
american_scientific_journal-2430	83	34	,	,	PUNCT
american_scientific_journal-2430	83	35	after	after	ADP
american_scientific_journal-2430	83	36	deriving	derive	VERB
american_scientific_journal-2430	83	37	the	the	DET
american_scientific_journal-2430	83	38	displacement	displacement	ADJ
american_scientific_journal-2430	83	39	function	function	NOUN
american_scientific_journal-2430	83	40	and	and	CCONJ
american_scientific_journal-2430	83	41	the	the	DET
american_scientific_journal-2430	83	42	expressions	expression	NOUN
american_scientific_journal-2430	83	43	of	of	ADP
american_scientific_journal-2430	83	44	relationships	relationship	NOUN
american_scientific_journal-2430	83	45	between	between	ADP
american_scientific_journal-2430	83	46	the	the	DET
american_scientific_journal-2430	83	47	strain	strain	NOUN
american_scientific_journal-2430	83	48	–	–	PUNCT
american_scientific_journal-2430	83	49	displacement	displacement	NOUN
american_scientific_journal-2430	83	50	and	and	CCONJ
american_scientific_journal-2430	83	51	the	the	DET
american_scientific_journal-2430	83	52	stress	stress	NOUN
american_scientific_journal-2430	83	53	–	–	PUNCT
american_scientific_journal-2430	83	54	strain	strain	NOUN
american_scientific_journal-2430	83	55	.	.	PUNCT
american_scientific_journal-2430	84	1	finally	finally	ADV
american_scientific_journal-2430	84	2	table	table	VERB
american_scientific_journal-2430	84	3	2	2	NUM
american_scientific_journal-2430	84	4	is	be	AUX
american_scientific_journal-2430	84	5	got	get	VERB
american_scientific_journal-2430	84	6	.	.	PUNCT
american_scientific_journal-2430	85	1	where	where	SCONJ
american_scientific_journal-2430	85	2	:	:	PUNCT
american_scientific_journal-2430	85	3	american	american	ADJ
american_scientific_journal-2430	85	4	scientific	scientific	ADJ
american_scientific_journal-2430	85	5	research	research	PROPN
american_scientific_journal-2430	85	6	journal	journal	NOUN
american_scientific_journal-2430	85	7	for	for	ADP
american_scientific_journal-2430	85	8	engineering	engineering	NOUN
american_scientific_journal-2430	85	9	,	,	PUNCT
american_scientific_journal-2430	85	10	technology	technology	NOUN
american_scientific_journal-2430	85	11	,	,	PUNCT
american_scientific_journal-2430	85	12	and	and	CCONJ
american_scientific_journal-2430	85	13	sciences	science	NOUN
american_scientific_journal-2430	85	14	(	(	PUNCT
american_scientific_journal-2430	85	15	asrjets	asrjet	NOUN
american_scientific_journal-2430	85	16	)	)	PUNCT
american_scientific_journal-2430	85	17	(	(	PUNCT
american_scientific_journal-2430	85	18	2016	2016	NUM
american_scientific_journal-2430	85	19	)	)	PUNCT
american_scientific_journal-2430	85	20	volume	volume	NOUN
american_scientific_journal-2430	85	21	26	26	NUM
american_scientific_journal-2430	85	22	,	,	PUNCT
american_scientific_journal-2430	85	23	no	no	DET
american_scientific_journal-2430	85	24	4	4	NUM
american_scientific_journal-2430	85	25	,	,	PUNCT
american_scientific_journal-2430	85	26	pp	pp	ADV
american_scientific_journal-2430	85	27	151	151	NUM
american_scientific_journal-2430	85	28	-	-	SYM
american_scientific_journal-2430	85	29	168	168	NUM
american_scientific_journal-2430	85	30	158	158	NUM
american_scientific_journal-2430	85	31	𝐃𝐃𝒙𝒙	𝐃𝐃𝒙𝒙	NOUN
american_scientific_journal-2430	85	32	=	=	PRON
american_scientific_journal-2430	86	1	𝐄𝐄𝐱𝐱	𝐄𝐄𝐱𝐱	INTJ
american_scientific_journal-2430	86	2	.	.	PUNCT
american_scientific_journal-2430	87	1	𝐭𝐭𝟑𝟑	𝐭𝐭𝟑𝟑	PROPN
american_scientific_journal-2430	87	2	𝟏𝟏𝟐𝟐(𝟏𝟏−𝐯𝐯𝐱𝐱𝐯𝐯𝐲𝐲	𝟏𝟏𝟐𝟐(𝟏𝟏−𝐯𝐯𝐱𝐱𝐯𝐯𝐲𝐲	PROPN
american_scientific_journal-2430	87	3	)	)	PUNCT
american_scientific_journal-2430	87	4	𝐃𝐃𝒚𝒚	𝐃𝐃𝒚𝒚	PUNCT
american_scientific_journal-2430	87	5	=	=	PUNCT
american_scientific_journal-2430	87	6	𝐄𝐄𝐲𝐲	𝐄𝐄𝐲𝐲	PROPN
american_scientific_journal-2430	87	7	.	.	PUNCT
american_scientific_journal-2430	88	1	𝐭𝐭𝟑𝟑	𝐭𝐭𝟑𝟑	PROPN
american_scientific_journal-2430	88	2	𝟏𝟏𝟐𝟐(𝟏𝟏−𝐯𝐯𝐱𝐱𝐯𝐯𝐲𝐲	𝟏𝟏𝟐𝟐(𝟏𝟏−𝐯𝐯𝐱𝐱𝐯𝐯𝐲𝐲	PROPN
american_scientific_journal-2430	88	3	)	)	PUNCT
american_scientific_journal-2430	88	4	…	…	PUNCT
american_scientific_journal-2430	88	5	…	…	PUNCT
american_scientific_journal-2430	88	6	(	(	PUNCT
american_scientific_journal-2430	88	7	12	12	NUM
american_scientific_journal-2430	88	8	)	)	PUNCT
american_scientific_journal-2430	88	9	𝐃𝐃𝟏𝟏=	𝐃𝐃𝟏𝟏=	NOUN
american_scientific_journal-2430	88	10	𝒗𝒗𝒙𝒙.	𝒗𝒗𝒙𝒙.	NOUN
american_scientific_journal-2430	89	1	𝐃𝐃𝒚𝒚	𝐃𝐃𝒚𝒚	PUNCT
american_scientific_journal-2430	89	2	=	=	PRON
american_scientific_journal-2430	89	3	𝒗𝒗𝒚𝒚	𝒗𝒗𝒚𝒚	VERB
american_scientific_journal-2430	89	4	.	.	PUNCT
american_scientific_journal-2430	90	1	𝐃𝐃𝒙𝒙	𝐃𝐃𝒙𝒙	PROPN
american_scientific_journal-2430	91	1	𝐃𝐃𝒙𝒙𝒚𝒚	𝐃𝐃𝒙𝒙𝒚𝒚	PROPN
american_scientific_journal-2430	91	2	=	=	PUNCT
american_scientific_journal-2430	91	3	𝑮𝑮𝒙𝒙𝒚𝒚	𝑮𝑮𝒙𝒙𝒚𝒚	PROPN
american_scientific_journal-2430	91	4	.	.	PUNCT
american_scientific_journal-2430	92	1	𝒕𝒕𝟑𝟑	𝒕𝒕𝟑𝟑	PROPN
american_scientific_journal-2430	92	2	𝟏𝟏𝟐𝟐	𝟏𝟏𝟐𝟐	NUM
american_scientific_journal-2430	92	3	and	and	CCONJ
american_scientific_journal-2430	92	4	,	,	PUNCT
american_scientific_journal-2430	92	5	𝐄𝐄𝐱𝐱	𝐄𝐄𝐱𝐱	PROPN
american_scientific_journal-2430	92	6	,	,	PUNCT
american_scientific_journal-2430	92	7	𝐄𝐄𝐲𝐲	𝐄𝐄𝐲𝐲	PROPN
american_scientific_journal-2430	92	8	are	be	AUX
american_scientific_journal-2430	92	9	young	young	ADJ
american_scientific_journal-2430	92	10	's	's	PART
american_scientific_journal-2430	92	11	moduli	modulus	NOUN
american_scientific_journal-2430	92	12	,	,	PUNCT
american_scientific_journal-2430	92	13	𝑣𝑣𝑥𝑥	𝑣𝑣𝑥𝑥	NOUN
american_scientific_journal-2430	92	14	,	,	PUNCT
american_scientific_journal-2430	92	15	𝑣𝑣𝑦𝑦	𝑣𝑣𝑦𝑦	NOUN
american_scientific_journal-2430	92	16	are	be	AUX
american_scientific_journal-2430	92	17	poisson	poisson	NOUN
american_scientific_journal-2430	92	18	's	's	PART
american_scientific_journal-2430	92	19	ratios	ratio	NOUN
american_scientific_journal-2430	92	20	,	,	PUNCT
american_scientific_journal-2430	92	21	and	and	CCONJ
american_scientific_journal-2430	92	22	𝑮𝑮𝒙𝒙𝒚𝒚	𝑮𝑮𝒙𝒙𝒚𝒚	PROPN
american_scientific_journal-2430	92	23	is	be	AUX
american_scientific_journal-2430	92	24	shear	shear	ADJ
american_scientific_journal-2430	92	25	modulus	modulus	NOUN
american_scientific_journal-2430	92	26	=	=	SYM
american_scientific_journal-2430	92	27	�	�	PROPN
american_scientific_journal-2430	92	28	𝑬𝑬𝒙𝒙𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆	𝑬𝑬𝒙𝒙𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆	PROPN
american_scientific_journal-2430	92	29	𝑬𝑬𝒚𝒚𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆	𝑬𝑬𝒚𝒚𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆	PROPN
american_scientific_journal-2430	92	30	𝟐𝟐(𝟏𝟏+	𝟐𝟐(𝟏𝟏+	VERB
american_scientific_journal-2430	92	31	�	�	NOUN
american_scientific_journal-2430	92	32	𝒗𝒗𝒙𝒙𝒗𝒗𝒚𝒚	𝒗𝒗𝒙𝒙𝒗𝒗𝒚𝒚	NOUN
american_scientific_journal-2430	92	33	)	)	PUNCT
american_scientific_journal-2430	93	1	[	[	X
american_scientific_journal-2430	93	2	6	6	NUM
american_scientific_journal-2430	93	3	]	]	PUNCT
american_scientific_journal-2430	93	4	poisson	poisson	PROPN
american_scientific_journal-2430	93	5	's	's	PART
american_scientific_journal-2430	93	6	ratio	ratio	NOUN
american_scientific_journal-2430	93	7	in	in	ADP
american_scientific_journal-2430	93	8	the	the	DET
american_scientific_journal-2430	93	9	y	y	PROPN
american_scientific_journal-2430	93	10	direction	direction	NOUN
american_scientific_journal-2430	93	11	𝑣𝑣𝑦𝑦	𝑣𝑣𝑦𝑦	NOUN
american_scientific_journal-2430	93	12	may	may	AUX
american_scientific_journal-2430	93	13	be	be	AUX
american_scientific_journal-2430	93	14	considered	consider	VERB
american_scientific_journal-2430	93	15	as	as	ADP
american_scientific_journal-2430	93	16	:	:	PUNCT
american_scientific_journal-2430	93	17	(	(	PUNCT
american_scientific_journal-2430	93	18	𝒗𝒗𝒚𝒚=𝒗𝒗𝒙𝒙	𝒗𝒗𝒚𝒚=𝒗𝒗𝒙𝒙	PROPN
american_scientific_journal-2430	93	19	𝑬𝑬𝒚𝒚	𝑬𝑬𝒚𝒚	PROPN
american_scientific_journal-2430	93	20	𝑬𝑬𝒙𝒙	𝑬𝑬𝒙𝒙	PROPN
american_scientific_journal-2430	93	21	)	)	PUNCT
american_scientific_journal-2430	94	1	[	[	X
american_scientific_journal-2430	94	2	7	7	NUM
american_scientific_journal-2430	94	3	]	]	ADJ
american_scientific_journal-2430	94	4	table	table	NOUN
american_scientific_journal-2430	94	5	2	2	NUM
american_scientific_journal-2430	94	6	:	:	PUNCT
american_scientific_journal-2430	94	7	bending	bend	VERB
american_scientific_journal-2430	94	8	stiffness	stiffness	ADJ
american_scientific_journal-2430	94	9	matrix	matrix	NOUN
american_scientific_journal-2430	94	10	of	of	ADP
american_scientific_journal-2430	94	11	a	a	DET
american_scientific_journal-2430	94	12	rectangular	rectangular	ADJ
american_scientific_journal-2430	94	13	strip	strip	NOUN
american_scientific_journal-2430	95	1	[	[	X
american_scientific_journal-2430	95	2	4	4	NUM
american_scientific_journal-2430	95	3	]	]	SYM
american_scientific_journal-2430	95	4	5040	5040	NUM
american_scientific_journal-2430	95	5	dx	dx	PROPN
american_scientific_journal-2430	95	6	i111	i111	PROPN
american_scientific_journal-2430	95	7	-504	-504	PROPN
american_scientific_journal-2430	95	8	b2	b2	NOUN
american_scientific_journal-2430	95	9	d1	d1	NOUN
american_scientific_journal-2430	95	10	i211	i211	PROPN
american_scientific_journal-2430	95	11	-504	-504	PUNCT
american_scientific_journal-2430	95	12	b2	b2	NOUN
american_scientific_journal-2430	95	13	d1	d1	NOUN
american_scientific_journal-2430	95	14	i311	i311	PROPN
american_scientific_journal-2430	95	15	+156	+156	PROPN
american_scientific_journal-2430	95	16	b4	b4	PROPN
american_scientific_journal-2430	95	17	dy	dy	NOUN
american_scientific_journal-2430	95	18	i411	i411	PROPN
american_scientific_journal-2430	95	19	+2016	+2016	NUM
american_scientific_journal-2430	95	20	b2	b2	PROPN
american_scientific_journal-2430	95	21	dxy	dxy	PROPN
american_scientific_journal-2430	95	22	i511	i511	PROPN
american_scientific_journal-2430	95	23	2520	2520	NUM
american_scientific_journal-2430	95	24	b	b	PROPN
american_scientific_journal-2430	95	25	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	95	26	i112	i112	PROPN
american_scientific_journal-2430	95	27	-462	-462	PROPN
american_scientific_journal-2430	95	28	b3	b3	PROPN
american_scientific_journal-2430	95	29	d1	d1	NOUN
american_scientific_journal-2430	95	30	i212	i212	PROPN
american_scientific_journal-2430	95	31	-42	-42	PUNCT
american_scientific_journal-2430	95	32	b3	b3	PROPN
american_scientific_journal-2430	95	33	d1	d1	PROPN
american_scientific_journal-2430	95	34	i312	i312	PROPN
american_scientific_journal-2430	95	35	+22	+22	ADJ
american_scientific_journal-2430	95	36	b5	b5	PROPN
american_scientific_journal-2430	95	37	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	95	38	i412	i412	PROPN
american_scientific_journal-2430	95	39	+168	+168	NUM
american_scientific_journal-2430	95	40	b3	b3	PROPN
american_scientific_journal-2430	95	41	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	X
american_scientific_journal-2430	95	42	i512	i512	PROPN
american_scientific_journal-2430	95	43	-5040	-5040	PROPN
american_scientific_journal-2430	95	44	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	95	45	i113	i113	PROPN
american_scientific_journal-2430	95	46	+504	+504	NUM
american_scientific_journal-2430	95	47	b2	b2	NOUN
american_scientific_journal-2430	95	48	d1	d1	NOUN
american_scientific_journal-2430	95	49	i213	i213	PROPN
american_scientific_journal-2430	95	50	+504	+504	ADJ
american_scientific_journal-2430	95	51	b2	b2	NOUN
american_scientific_journal-2430	95	52	d1	d1	NOUN
american_scientific_journal-2430	95	53	i313	i313	PROPN
american_scientific_journal-2430	95	54	+54	+54	PROPN
american_scientific_journal-2430	95	55	b4	b4	NOUN
american_scientific_journal-2430	95	56	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	95	57	i413	i413	PROPN
american_scientific_journal-2430	95	58	-2016	-2016	PROPN
american_scientific_journal-2430	95	59	b2	b2	NOUN
american_scientific_journal-2430	95	60	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	95	61	i513	i513	PROPN
american_scientific_journal-2430	95	62	2520	2520	NUM
american_scientific_journal-2430	95	63	b	b	PROPN
american_scientific_journal-2430	95	64	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	95	65	i114	i114	PROPN
american_scientific_journal-2430	95	66	-42	-42	PUNCT
american_scientific_journal-2430	95	67	b3	b3	PROPN
american_scientific_journal-2430	95	68	d1	d1	NOUN
american_scientific_journal-2430	95	69	i214	i214	PROPN
american_scientific_journal-2430	95	70	-42	-42	PUNCT
american_scientific_journal-2430	95	71	b3	b3	PROPN
american_scientific_journal-2430	95	72	d1	d1	NOUN
american_scientific_journal-2430	95	73	i314	i314	PROPN
american_scientific_journal-2430	95	74	-13	-13	PUNCT
american_scientific_journal-2430	95	75	b5	b5	PROPN
american_scientific_journal-2430	95	76	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	95	77	i414	i414	PROPN
american_scientific_journal-2430	95	78	+168	+168	NUM
american_scientific_journal-2430	95	79	b3	b3	PROPN
american_scientific_journal-2430	95	80	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	ADJ
american_scientific_journal-2430	95	81	i514	i514	PROPN
american_scientific_journal-2430	95	82	1680	1680	NUM
american_scientific_journal-2430	95	83	b2	b2	NOUN
american_scientific_journal-2430	95	84	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	95	85	i122	i122	PROPN
american_scientific_journal-2430	95	86	-56	-56	PROPN
american_scientific_journal-2430	95	87	b4	b4	NOUN
american_scientific_journal-2430	95	88	d1	d1	PROPN
american_scientific_journal-2430	95	89	i222	i222	PROPN
american_scientific_journal-2430	96	1	-56	-56	PROPN
american_scientific_journal-2430	96	2	b4	b4	NOUN
american_scientific_journal-2430	96	3	d1	d1	PROPN
american_scientific_journal-2430	96	4	i322	i322	PROPN
american_scientific_journal-2430	96	5	+4	+4	PROPN
american_scientific_journal-2430	96	6	b6	b6	NOUN
american_scientific_journal-2430	96	7	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	97	1	i422	i422	PRON
american_scientific_journal-2430	97	2	+224	+224	NUM
american_scientific_journal-2430	97	3	b4	b4	NOUN
american_scientific_journal-2430	97	4	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	97	5	i522	i522	PROPN
american_scientific_journal-2430	97	6	-2520	-2520	PROPN
american_scientific_journal-2430	97	7	b	b	PROPN
american_scientific_journal-2430	97	8	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	97	9	i123	i123	PROPN
american_scientific_journal-2430	97	10	+42	+42	NOUN
american_scientific_journal-2430	97	11	b3	b3	PROPN
american_scientific_journal-2430	97	12	d1	d1	NOUN
american_scientific_journal-2430	97	13	i223	i223	PRON
american_scientific_journal-2430	97	14	+42	+42	NOUN
american_scientific_journal-2430	97	15	b3	b3	PROPN
american_scientific_journal-2430	97	16	d1	d1	NOUN
american_scientific_journal-2430	97	17	i323	i323	PROPN
american_scientific_journal-2430	98	1	+13	+13	NUM
american_scientific_journal-2430	98	2	b5	b5	PROPN
american_scientific_journal-2430	98	3	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	98	4	i423	i423	PROPN
american_scientific_journal-2430	98	5	-168	-168	PROPN
american_scientific_journal-2430	98	6	b3	b3	PROPN
american_scientific_journal-2430	98	7	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	98	8	i523	i523	PROPN
american_scientific_journal-2430	98	9	840	840	NUM
american_scientific_journal-2430	98	10	b2	b2	NOUN
american_scientific_journal-2430	98	11	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	98	12	i124	i124	PROPN
american_scientific_journal-2430	98	13	+14	+14	ADJ
american_scientific_journal-2430	98	14	b4	b4	NOUN
american_scientific_journal-2430	98	15	d1	d1	NOUN
american_scientific_journal-2430	98	16	i224	i224	PRON
american_scientific_journal-2430	98	17	+14	+14	ADJ
american_scientific_journal-2430	98	18	b4	b4	NOUN
american_scientific_journal-2430	98	19	d1	d1	PROPN
american_scientific_journal-2430	99	1	i324	i324	PROPN
american_scientific_journal-2430	99	2	-3	-3	PUNCT
american_scientific_journal-2430	99	3	b6	b6	NOUN
american_scientific_journal-2430	99	4	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	99	5	i424	i424	PROPN
american_scientific_journal-2430	99	6	-56	-56	PROPN
american_scientific_journal-2430	99	7	b4	b4	PROPN
american_scientific_journal-2430	99	8	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	99	9	i524	i524	PROPN
american_scientific_journal-2430	99	10	where	where	SCONJ
american_scientific_journal-2430	99	11	:	:	PUNCT
american_scientific_journal-2430	99	12	i1𝑖𝑖𝑖𝑖	i1𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2430	99	13	=	=	SYM
american_scientific_journal-2430	99	14	∫	∫	PROPN
american_scientific_journal-2430	99	15	𝜑𝜑t	𝜑𝜑t	PROPN
american_scientific_journal-2430	99	16	𝑖𝑖	𝑖𝑖	NOUN
american_scientific_journal-2430	99	17	𝑎𝑎	𝑎𝑎	X
american_scientific_journal-2430	99	18	0	0	NUM
american_scientific_journal-2430	99	19	𝜑𝜑𝑗𝑗d𝑦𝑦	𝜑𝜑𝑗𝑗d𝑦𝑦	NOUN
american_scientific_journal-2430	99	20	;	;	PUNCT
american_scientific_journal-2430	100	1	i2𝑖𝑖𝑖𝑖	i2𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2430	100	2	=	=	SYM
american_scientific_journal-2430	100	3	∫	∫	PROPN
american_scientific_journal-2430	100	4	𝜑𝜑"t	𝜑𝜑"t	PROPN
american_scientific_journal-2430	100	5	𝑖𝑖	𝑖𝑖	PROPN
american_scientific_journal-2430	100	6	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-2430	100	7	0	0	NUM
american_scientific_journal-2430	100	8	𝜑𝜑𝑗𝑗d𝑦𝑦	𝜑𝜑𝑗𝑗d𝑦𝑦	NOUN
american_scientific_journal-2430	100	9	;	;	PUNCT
american_scientific_journal-2430	100	10	i3𝑖𝑖𝑖𝑖	i3𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2430	100	11	=	=	SYM
american_scientific_journal-2430	100	12	∫	∫	PROPN
american_scientific_journal-2430	100	13	𝜑𝜑t	𝜑𝜑t	INTJ
american_scientific_journal-2430	100	14	𝑖𝑖	𝑖𝑖	NOUN
american_scientific_journal-2430	100	15	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-2430	100	16	0	0	NUM
american_scientific_journal-2430	100	17	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	100	18	"	"	PUNCT
american_scientific_journal-2430	100	19	𝑗𝑗d𝑦𝑦	𝑗𝑗d𝑦𝑦	NOUN
american_scientific_journal-2430	100	20	;	;	PUNCT
american_scientific_journal-2430	100	21	i4𝑖𝑖𝑖𝑖	i4𝑖𝑖𝑖𝑖	NOUN
american_scientific_journal-2430	100	22	=	=	SYM
american_scientific_journal-2430	100	23	∫	∫	PROPN
american_scientific_journal-2430	100	24	𝜑𝜑"t	𝜑𝜑"t	PROPN
american_scientific_journal-2430	100	25	𝑖𝑖	𝑖𝑖	PROPN
american_scientific_journal-2430	100	26	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-2430	100	27	0	0	NUM
american_scientific_journal-2430	100	28	𝜑𝜑	𝜑𝜑	NOUN
american_scientific_journal-2430	100	29	"	"	PUNCT
american_scientific_journal-2430	100	30	𝑗𝑗d𝑦𝑦	𝑗𝑗d𝑦𝑦	NOUN
american_scientific_journal-2430	100	31	;	;	PUNCT
american_scientific_journal-2430	100	32	i5𝑖𝑖𝑖𝑖	i5𝑖𝑖𝑖𝑖	NOUN
american_scientific_journal-2430	100	33	=	=	SYM
american_scientific_journal-2430	100	34	∫	∫	PROPN
american_scientific_journal-2430	100	35	𝜑𝜑′t	𝜑𝜑′t	NOUN
american_scientific_journal-2430	100	36	𝑖𝑖	𝑖𝑖	NOUN
american_scientific_journal-2430	100	37	𝑎𝑎	𝑎𝑎	NOUN
american_scientific_journal-2430	100	38	0	0	NUM
american_scientific_journal-2430	100	39	𝜑𝜑′	𝜑𝜑′	ADJ
american_scientific_journal-2430	100	40	𝑗𝑗d𝑦𝑦	𝑗𝑗d𝑦𝑦	NOUN
american_scientific_journal-2430	100	41	.	.	PUNCT
american_scientific_journal-2430	101	1	5040	5040	NUM
american_scientific_journal-2430	101	2	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	101	3	i133	i133	PUNCT
american_scientific_journal-2430	101	4	-504	-504	NOUN
american_scientific_journal-2430	101	5	b2	b2	NOUN
american_scientific_journal-2430	101	6	d1	d1	NOUN
american_scientific_journal-2430	101	7	i233	i233	PROPN
american_scientific_journal-2430	101	8	-504	-504	NOUN
american_scientific_journal-2430	101	9	b2	b2	NOUN
american_scientific_journal-2430	101	10	d1	d1	NOUN
american_scientific_journal-2430	101	11	i333	i333	PROPN
american_scientific_journal-2430	101	12	+156	+156	PROPN
american_scientific_journal-2430	101	13	b4	b4	PROPN
american_scientific_journal-2430	101	14	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	101	15	i433	i433	PROPN
american_scientific_journal-2430	101	16	+2016	+2016	NUM
american_scientific_journal-2430	101	17	b2	b2	NOUN
american_scientific_journal-2430	101	18	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	101	19	i533	i533	PROPN
american_scientific_journal-2430	101	20	2520	2520	NUM
american_scientific_journal-2430	101	21	b	b	PROPN
american_scientific_journal-2430	101	22	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	101	23	i134	i134	PROPN
american_scientific_journal-2430	101	24	+462	+462	NUM
american_scientific_journal-2430	101	25	b3	b3	NOUN
american_scientific_journal-2430	101	26	d1	d1	NOUN
american_scientific_journal-2430	101	27	i234	i234	PROPN
american_scientific_journal-2430	101	28	+42	+42	PROPN
american_scientific_journal-2430	101	29	b3	b3	PROPN
american_scientific_journal-2430	101	30	d1	d1	NOUN
american_scientific_journal-2430	101	31	i334	i334	PROPN
american_scientific_journal-2430	101	32	-22	-22	PUNCT
american_scientific_journal-2430	101	33	b5	b5	PROPN
american_scientific_journal-2430	101	34	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	101	35	i434	i434	PROPN
american_scientific_journal-2430	101	36	-168	-168	PROPN
american_scientific_journal-2430	101	37	b3	b3	PROPN
american_scientific_journal-2430	101	38	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	101	39	i534	i534	NUM
american_scientific_journal-2430	101	40	1680	1680	NUM
american_scientific_journal-2430	101	41	b2	b2	NOUN
american_scientific_journal-2430	101	42	d𝑥𝑥	d𝑥𝑥	NOUN
american_scientific_journal-2430	102	1	i144	i144	PROPN
american_scientific_journal-2430	102	2	-56	-56	PROPN
american_scientific_journal-2430	102	3	b4	b4	VERB
american_scientific_journal-2430	102	4	d1	d1	PROPN
american_scientific_journal-2430	102	5	i244	i244	PROPN
american_scientific_journal-2430	103	1	-56	-56	PROPN
american_scientific_journal-2430	103	2	b4	b4	VERB
american_scientific_journal-2430	103	3	d1	d1	PROPN
american_scientific_journal-2430	103	4	i344	i344	PROPN
american_scientific_journal-2430	104	1	+4	+4	PROPN
american_scientific_journal-2430	104	2	b6	b6	NOUN
american_scientific_journal-2430	104	3	d𝑦𝑦	d𝑦𝑦	NOUN
american_scientific_journal-2430	104	4	i444	i444	PROPN
american_scientific_journal-2430	104	5	+224	+224	NUM
american_scientific_journal-2430	104	6	b4	b4	NOUN
american_scientific_journal-2430	104	7	d𝑥𝑥𝑦𝑦	d𝑥𝑥𝑦𝑦	VERB
american_scientific_journal-2430	104	8	i544	i544	PROPN
american_scientific_journal-2430	104	9	5.3	5.3	NUM
american_scientific_journal-2430	104	10	load	load	NOUN
american_scientific_journal-2430	104	11	matrices	matrix	NOUN
american_scientific_journal-2430	104	12	(	(	PUNCT
american_scientific_journal-2430	104	13	i	i	NOUN
american_scientific_journal-2430	104	14	)	)	PUNCT
american_scientific_journal-2430	104	15	for	for	ADP
american_scientific_journal-2430	104	16	a	a	DET
american_scientific_journal-2430	104	17	patch	patch	NOUN
american_scientific_journal-2430	104	18	load	load	NOUN
american_scientific_journal-2430	104	19	linearly	linearly	ADV
american_scientific_journal-2430	104	20	distributed	distribute	VERB
american_scientific_journal-2430	104	21	along	along	ADP
american_scientific_journal-2430	104	22	ydirection	ydirection	NOUN
american_scientific_journal-2430	104	23	from	from	ADP
american_scientific_journal-2430	104	24	y1	y1	INTJ
american_scientific_journal-2430	104	25	to	to	ADP
american_scientific_journal-2430	104	26	y2	y2	PROPN
american_scientific_journal-2430	104	27	(	(	PUNCT
american_scientific_journal-2430	104	28	figure	figure	NOUN
american_scientific_journal-2430	104	29	6	6	NUM
american_scientific_journal-2430	104	30	):	):	PUNCT
american_scientific_journal-2430	104	31	the	the	DET
american_scientific_journal-2430	104	32	load	load	NOUN
american_scientific_journal-2430	104	33	vector	vector	NOUN
american_scientific_journal-2430	104	34	{	{	PUNCT
american_scientific_journal-2430	104	35	f	f	NOUN
american_scientific_journal-2430	104	36	}	}	PUNCT
american_scientific_journal-2430	104	37	can	can	AUX
american_scientific_journal-2430	104	38	be	be	AUX
american_scientific_journal-2430	104	39	[	[	PUNCT
american_scientific_journal-2430	104	40	k]=	k]=	PROPN
american_scientific_journal-2430	104	41	1	1	NUM
american_scientific_journal-2430	104	42	420b3	420b3	NUM
american_scientific_journal-2430	104	43	american	american	ADJ
american_scientific_journal-2430	104	44	scientific	scientific	ADJ
american_scientific_journal-2430	104	45	research	research	NOUN
american_scientific_journal-2430	104	46	journal	journal	NOUN
american_scientific_journal-2430	104	47	for	for	ADP
american_scientific_journal-2430	104	48	engineering	engineering	NOUN
american_scientific_journal-2430	104	49	,	,	PUNCT
american_scientific_journal-2430	104	50	technology	technology	NOUN
american_scientific_journal-2430	104	51	,	,	PUNCT
american_scientific_journal-2430	104	52	and	and	CCONJ
american_scientific_journal-2430	104	53	sciences	science	NOUN
american_scientific_journal-2430	104	54	(	(	PUNCT
american_scientific_journal-2430	104	55	asrjets	asrjet	NOUN
american_scientific_journal-2430	104	56	)	)	PUNCT
american_scientific_journal-2430	104	57	(	(	PUNCT
american_scientific_journal-2430	104	58	2016	2016	NUM
american_scientific_journal-2430	104	59	)	)	PUNCT
american_scientific_journal-2430	104	60	volume	volume	NOUN
american_scientific_journal-2430	104	61	26	26	NUM
american_scientific_journal-2430	104	62	,	,	PUNCT
american_scientific_journal-2430	104	63	no	no	DET
american_scientific_journal-2430	104	64	4	4	NUM
american_scientific_journal-2430	104	65	,	,	PUNCT
american_scientific_journal-2430	104	66	pp	pp	ADV
american_scientific_journal-2430	104	67	151	151	NUM
american_scientific_journal-2430	104	68	-	-	SYM
american_scientific_journal-2430	104	69	168	168	NUM
american_scientific_journal-2430	104	70	159	159	NUM
american_scientific_journal-2430	104	71	expressed	express	VERB
american_scientific_journal-2430	104	72	as	as	ADP
american_scientific_journal-2430	104	73	:	:	PUNCT
american_scientific_journal-2430	104	74	{	{	PUNCT
american_scientific_journal-2430	104	75	f	f	X
american_scientific_journal-2430	104	76	}	}	PUNCT
american_scientific_journal-2430	104	77	=	=	SYM
american_scientific_journal-2430	104	78	∫	∫	PROPN
american_scientific_journal-2430	104	79	∫	∫	PROPN
american_scientific_journal-2430	105	1	[	[	X
american_scientific_journal-2430	105	2	𝝋𝝋]𝑻𝑻𝒚𝒚𝟐𝟐	𝝋𝝋]𝑻𝑻𝒚𝒚𝟐𝟐	PROPN
american_scientific_journal-2430	105	3	𝒚𝒚𝟏𝟏	𝒚𝒚𝟏𝟏	PROPN
american_scientific_journal-2430	105	4	𝒃𝒃	𝒃𝒃	VERB
american_scientific_journal-2430	105	5	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	106	1	[	[	X
american_scientific_journal-2430	106	2	𝐍𝐍]𝑻𝑻	𝐍𝐍]𝑻𝑻	X
american_scientific_journal-2430	106	3	{	{	PUNCT
american_scientific_journal-2430	106	4	𝒒𝒒𝟏𝟏	𝒒𝒒𝟏𝟏	PROPN
american_scientific_journal-2430	106	5	+	+	CCONJ
american_scientific_journal-2430	106	6	(	(	PUNCT
american_scientific_journal-2430	106	7	𝐪𝐪𝟐𝟐−𝐪𝐪𝟏𝟏	𝐪𝐪𝟐𝟐−𝐪𝐪𝟏𝟏	NUM
american_scientific_journal-2430	106	8	𝐲𝐲𝟐𝟐−𝐲𝐲𝟏𝟏	𝐲𝐲𝟐𝟐−𝐲𝐲𝟏𝟏	PROPN
american_scientific_journal-2430	106	9	)	)	PUNCT
american_scientific_journal-2430	106	10	(	(	PUNCT
american_scientific_journal-2430	106	11	𝒚𝒚-𝒚𝒚𝟏𝟏	𝒚𝒚-𝒚𝒚𝟏𝟏	INTJ
american_scientific_journal-2430	106	12	)	)	PUNCT
american_scientific_journal-2430	106	13	}	}	PUNCT
american_scientific_journal-2430	106	14	𝐝𝐝𝒙𝒙𝐝𝐝𝒚𝒚	𝐝𝐝𝒙𝒙𝐝𝐝𝒚𝒚	NOUN
american_scientific_journal-2430	106	15	…	…	PUNCT
american_scientific_journal-2430	106	16	…	…	PUNCT
american_scientific_journal-2430	106	17	(	(	PUNCT
american_scientific_journal-2430	106	18	13	13	NUM
american_scientific_journal-2430	106	19	)	)	PUNCT
american_scientific_journal-2430	106	20	{	{	PUNCT
american_scientific_journal-2430	107	1	f}=	f}=	VERB
american_scientific_journal-2430	107	2	𝒒𝒒𝟏𝟏(∫	𝒒𝒒𝟏𝟏(∫	PROPN
american_scientific_journal-2430	108	1	[	[	X
american_scientific_journal-2430	108	2	𝝋𝝋]𝑻𝑻𝒚𝒚𝟐𝟐	𝝋𝝋]𝑻𝑻𝒚𝒚𝟐𝟐	PROPN
american_scientific_journal-2430	108	3	𝒚𝒚𝟏𝟏	𝒚𝒚𝟏𝟏	PROPN
american_scientific_journal-2430	108	4	𝐝𝐝𝒚𝒚.	𝐝𝐝𝒚𝒚.	NOUN
american_scientific_journal-2430	108	5	⎩	⎩	NUM
american_scientific_journal-2430	109	1	⎨	⎨	ADJ
american_scientific_journal-2430	109	2	⎧	⎧	PROPN
american_scientific_journal-2430	109	3	𝐛𝐛/𝟐𝟐	𝐛𝐛/𝟐𝟐	PROPN
american_scientific_journal-2430	109	4	𝐛𝐛𝟐𝟐/𝟏𝟏𝟐𝟐	𝐛𝐛𝟐𝟐/𝟏𝟏𝟐𝟐	PROPN
american_scientific_journal-2430	109	5	𝐛𝐛/𝟐𝟐	𝐛𝐛/𝟐𝟐	PROPN
american_scientific_journal-2430	109	6	−𝐛𝐛𝟐𝟐	−𝐛𝐛𝟐𝟐	PROPN
american_scientific_journal-2430	109	7	/𝟏𝟏𝟐𝟐⎭	/𝟏𝟏𝟐𝟐⎭	PUNCT
american_scientific_journal-2430	109	8	⎬	⎬	PROPN
american_scientific_journal-2430	109	9	⎫	⎫	PROPN
american_scientific_journal-2430	110	1	+	+	CCONJ
american_scientific_journal-2430	110	2	(	(	PUNCT
american_scientific_journal-2430	110	3	𝐪𝐪𝟐𝟐−𝐪𝐪𝟏𝟏	𝐪𝐪𝟐𝟐−𝐪𝐪𝟏𝟏	NUM
american_scientific_journal-2430	110	4	𝐲𝐲𝟐𝟐−𝐲𝐲𝟏𝟏	𝐲𝐲𝟐𝟐−𝐲𝐲𝟏𝟏	PROPN
american_scientific_journal-2430	110	5	)	)	PUNCT
american_scientific_journal-2430	110	6	(	(	PUNCT
american_scientific_journal-2430	110	7	∫	∫	PROPN
american_scientific_journal-2430	111	1	[	[	X
american_scientific_journal-2430	111	2	𝝋𝝋]𝑻𝑻𝒚𝒚𝟐𝟐	𝝋𝝋]𝑻𝑻𝒚𝒚𝟐𝟐	PROPN
american_scientific_journal-2430	111	3	𝒚𝒚𝟏𝟏	𝒚𝒚𝟏𝟏	PROPN
american_scientific_journal-2430	111	4	(	(	PUNCT
american_scientific_journal-2430	111	5	𝒚𝒚-𝒚𝒚𝟏𝟏	𝒚𝒚-𝒚𝒚𝟏𝟏	INTJ
american_scientific_journal-2430	111	6	)	)	PUNCT
american_scientific_journal-2430	111	7	𝐝𝐝𝒚𝒚	𝐝𝐝𝒚𝒚	NOUN
american_scientific_journal-2430	111	8	)	)	PUNCT
american_scientific_journal-2430	111	9	⎩	⎩	NOUN
american_scientific_journal-2430	111	10	⎨	⎨	ADJ
american_scientific_journal-2430	111	11	⎧	⎧	PROPN
american_scientific_journal-2430	111	12	𝐛𝐛/𝟐𝟐	𝐛𝐛/𝟐𝟐	PROPN
american_scientific_journal-2430	111	13	𝐛𝐛𝟐𝟐/𝟏𝟏𝟐𝟐	𝐛𝐛𝟐𝟐/𝟏𝟏𝟐𝟐	PROPN
american_scientific_journal-2430	111	14	𝐛𝐛/𝟐𝟐	𝐛𝐛/𝟐𝟐	PROPN
american_scientific_journal-2430	111	15	−𝐛𝐛𝟐𝟐	−𝐛𝐛𝟐𝟐	PROPN
american_scientific_journal-2430	111	16	/𝟏𝟏𝟐𝟐⎭	/𝟏𝟏𝟐𝟐⎭	PUNCT
american_scientific_journal-2430	111	17	⎬	⎬	PROPN
american_scientific_journal-2430	111	18	⎫	⎫	PROPN
american_scientific_journal-2430	111	19	…	…	PUNCT
american_scientific_journal-2430	111	20	…	…	PUNCT
american_scientific_journal-2430	111	21	(	(	PUNCT
american_scientific_journal-2430	111	22	14	14	NUM
american_scientific_journal-2430	111	23	)	)	PUNCT
american_scientific_journal-2430	111	24	figure	figure	NOUN
american_scientific_journal-2430	111	25	6	6	NUM
american_scientific_journal-2430	111	26	:	:	PUNCT
american_scientific_journal-2430	111	27	linearly	linearly	ADV
american_scientific_journal-2430	111	28	distributed	distribute	VERB
american_scientific_journal-2430	111	29	patch	patch	NOUN
american_scientific_journal-2430	111	30	load	load	NOUN
american_scientific_journal-2430	111	31	on	on	ADP
american_scientific_journal-2430	111	32	a	a	DET
american_scientific_journal-2430	111	33	rectangular	rectangular	ADJ
american_scientific_journal-2430	111	34	plate	plate	NOUN
american_scientific_journal-2430	111	35	strip	strip	NOUN
american_scientific_journal-2430	111	36	(	(	PUNCT
american_scientific_journal-2430	111	37	ii	ii	NOUN
american_scientific_journal-2430	111	38	)	)	PUNCT
american_scientific_journal-2430	111	39	for	for	ADP
american_scientific_journal-2430	111	40	a	a	DET
american_scientific_journal-2430	111	41	concentrated	concentrated	ADJ
american_scientific_journal-2430	111	42	load	load	NOUN
american_scientific_journal-2430	111	43	on	on	ADP
american_scientific_journal-2430	111	44	a	a	DET
american_scientific_journal-2430	111	45	nodal	nodal	ADJ
american_scientific_journal-2430	111	46	line	line	NOUN
american_scientific_journal-2430	111	47	:	:	PUNCT
american_scientific_journal-2430	111	48	to	to	PART
american_scientific_journal-2430	111	49	get	get	VERB
american_scientific_journal-2430	111	50	more	more	ADJ
american_scientific_journal-2430	111	51	accuracy	accuracy	NOUN
american_scientific_journal-2430	111	52	it	it	PRON
american_scientific_journal-2430	111	53	is	be	AUX
american_scientific_journal-2430	111	54	recommended	recommend	VERB
american_scientific_journal-2430	111	55	to	to	PART
american_scientific_journal-2430	111	56	locate	locate	VERB
american_scientific_journal-2430	111	57	a	a	DET
american_scientific_journal-2430	111	58	nodal	nodal	NOUN
american_scientific_journal-2430	111	59	line	line	NOUN
american_scientific_journal-2430	111	60	passing	pass	VERB
american_scientific_journal-2430	111	61	through	through	ADP
american_scientific_journal-2430	111	62	the	the	DET
american_scientific_journal-2430	111	63	concentrated	concentrated	ADJ
american_scientific_journal-2430	111	64	load	load	NOUN
american_scientific_journal-2430	111	65	,	,	PUNCT
american_scientific_journal-2430	111	66	otherwise	otherwise	ADV
american_scientific_journal-2430	111	67	its	its	PRON
american_scientific_journal-2430	111	68	effect	effect	NOUN
american_scientific_journal-2430	111	69	can	can	AUX
american_scientific_journal-2430	111	70	only	only	ADV
american_scientific_journal-2430	111	71	be	be	AUX
american_scientific_journal-2430	111	72	transferred	transfer	VERB
american_scientific_journal-2430	111	73	to	to	ADP
american_scientific_journal-2430	111	74	its	its	PRON
american_scientific_journal-2430	111	75	two	two	NUM
american_scientific_journal-2430	111	76	boundary	boundary	ADJ
american_scientific_journal-2430	111	77	nodal	nodal	NOUN
american_scientific_journal-2430	111	78	lines	line	NOUN
american_scientific_journal-2430	111	79	through	through	ADP
american_scientific_journal-2430	111	80	the	the	DET
american_scientific_journal-2430	111	81	cubic	cubic	ADJ
american_scientific_journal-2430	111	82	interpolation	interpolation	NOUN
american_scientific_journal-2430	111	83	polynomial	polynomial	NOUN
american_scientific_journal-2430	111	84	of	of	ADP
american_scientific_journal-2430	111	85	the	the	DET
american_scientific_journal-2430	111	86	assumed	assumed	ADJ
american_scientific_journal-2430	111	87	displacement	displacement	ADJ
american_scientific_journal-2430	111	88	function	function	NOUN
american_scientific_journal-2430	111	89	.	.	PUNCT
american_scientific_journal-2430	112	1	with	with	ADP
american_scientific_journal-2430	112	2	reference	reference	NOUN
american_scientific_journal-2430	112	3	to	to	PART
american_scientific_journal-2430	112	4	figure	figure	VERB
american_scientific_journal-2430	112	5	7	7	NUM
american_scientific_journal-2430	112	6	the	the	DET
american_scientific_journal-2430	112	7	comprehensive	comprehensive	ADJ
american_scientific_journal-2430	112	8	load	load	NOUN
american_scientific_journal-2430	112	9	vector	vector	NOUN
american_scientific_journal-2430	112	10	for	for	ADP
american_scientific_journal-2430	112	11	the	the	DET
american_scientific_journal-2430	112	12	combination	combination	NOUN
american_scientific_journal-2430	112	13	of	of	ADP
american_scientific_journal-2430	112	14	a	a	DET
american_scientific_journal-2430	112	15	concentrated	concentrated	ADJ
american_scientific_journal-2430	112	16	load	load	NOUN
american_scientific_journal-2430	112	17	p	p	NOUN
american_scientific_journal-2430	112	18	,	,	PUNCT
american_scientific_journal-2430	112	19	moment	moment	NOUN
american_scientific_journal-2430	112	20	𝐦𝐦𝒙𝒙	𝐦𝐦𝒙𝒙	NOUN
american_scientific_journal-2430	112	21	and	and	CCONJ
american_scientific_journal-2430	112	22	moment	moment	NOUN
american_scientific_journal-2430	112	23	𝐦𝐦𝒚𝒚	𝐦𝐦𝒚𝒚	NOUN
american_scientific_journal-2430	112	24	at	at	ADP
american_scientific_journal-2430	112	25	locations	location	NOUN
american_scientific_journal-2430	112	26	𝐲𝐲𝟏𝟏	𝐲𝐲𝟏𝟏	PROPN
american_scientific_journal-2430	112	27	,	,	PUNCT
american_scientific_journal-2430	112	28	𝐲𝐲𝟐𝟐	𝐲𝐲𝟐𝟐	PROPN
american_scientific_journal-2430	112	29	,	,	PUNCT
american_scientific_journal-2430	112	30	𝐲𝐲𝟑𝟑	𝐲𝐲𝟑𝟑	PROPN
american_scientific_journal-2430	112	31	on	on	ADP
american_scientific_journal-2430	112	32	nodal	nodal	NOUN
american_scientific_journal-2430	112	33	line	line	NOUN
american_scientific_journal-2430	112	34	i	i	PRON
american_scientific_journal-2430	112	35	,	,	PUNCT
american_scientific_journal-2430	112	36	respectively	respectively	ADV
american_scientific_journal-2430	112	37	,	,	PUNCT
american_scientific_journal-2430	112	38	is	be	AUX
american_scientific_journal-2430	112	39	expressed	express	VERB
american_scientific_journal-2430	112	40	in	in	ADP
american_scientific_journal-2430	112	41	matrix	matrix	NOUN
american_scientific_journal-2430	112	42	form	form	NOUN
american_scientific_journal-2430	112	43	as	as	SCONJ
american_scientific_journal-2430	112	44	follows	follow	VERB
american_scientific_journal-2430	112	45	:	:	PUNCT
american_scientific_journal-2430	112	46	{	{	PUNCT
american_scientific_journal-2430	113	1	f}=	f}=	NOUN
american_scientific_journal-2430	113	2	[	[	PUNCT
american_scientific_journal-2430	113	3	𝝋𝝋(𝒚𝒚𝟏𝟏)]𝐓𝐓	𝝋𝝋(𝒚𝒚𝟏𝟏)]𝐓𝐓	PROPN
american_scientific_journal-2430	113	4	�	�	PROPN
american_scientific_journal-2430	113	5	𝐏𝐏	𝐏𝐏	PROPN
american_scientific_journal-2430	113	6	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	7	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	8	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	9	�	�	PROPN
american_scientific_journal-2430	113	10	+	+	CCONJ
american_scientific_journal-2430	113	11	[	[	PUNCT
american_scientific_journal-2430	113	12	𝝋𝝋(𝒚𝒚𝟐𝟐)]𝐓𝐓	𝝋𝝋(𝒚𝒚𝟐𝟐)]𝐓𝐓	NOUN
american_scientific_journal-2430	113	13	�	�	PROPN
american_scientific_journal-2430	113	14	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	15	𝐌𝐌𝒙𝒙	𝐌𝐌𝒙𝒙	SYM
american_scientific_journal-2430	113	16	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	17	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	18	�	�	PROPN
american_scientific_journal-2430	113	19	+	+	PUNCT
american_scientific_journal-2430	113	20	[	[	PUNCT
american_scientific_journal-2430	113	21	𝝋𝝋′(𝒚𝒚𝟑𝟑)]𝐓𝐓	𝝋𝝋′(𝒚𝒚𝟑𝟑)]𝐓𝐓	PROPN
american_scientific_journal-2430	113	22	�	�	X
american_scientific_journal-2430	113	23	𝐌𝐌𝒚𝒚	𝐌𝐌𝒚𝒚	PROPN
american_scientific_journal-2430	113	24	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	25	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	26	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	113	27	�	�	PROPN
american_scientific_journal-2430	113	28	…	…	PUNCT
american_scientific_journal-2430	113	29	…	…	PUNCT
american_scientific_journal-2430	113	30	(	(	PUNCT
american_scientific_journal-2430	113	31	15	15	NUM
american_scientific_journal-2430	113	32	)	)	PUNCT
american_scientific_journal-2430	113	33	figure	figure	NOUN
american_scientific_journal-2430	113	34	7	7	NUM
american_scientific_journal-2430	113	35	:	:	PUNCT
american_scientific_journal-2430	113	36	concentrated	concentrate	VERB
american_scientific_journal-2430	113	37	loads	load	NOUN
american_scientific_journal-2430	113	38	on	on	ADP
american_scientific_journal-2430	113	39	nodal	nodal	ADJ
american_scientific_journal-2430	113	40	line	line	NOUN
american_scientific_journal-2430	113	41	of	of	ADP
american_scientific_journal-2430	113	42	rectangular	rectangular	ADJ
american_scientific_journal-2430	113	43	plate	plate	NOUN
american_scientific_journal-2430	113	44	strip	strip	NOUN
american_scientific_journal-2430	113	45	.	.	PUNCT
american_scientific_journal-2430	114	1	american	american	ADJ
american_scientific_journal-2430	114	2	scientific	scientific	ADJ
american_scientific_journal-2430	114	3	research	research	PROPN
american_scientific_journal-2430	114	4	journal	journal	NOUN
american_scientific_journal-2430	114	5	for	for	ADP
american_scientific_journal-2430	114	6	engineering	engineering	NOUN
american_scientific_journal-2430	114	7	,	,	PUNCT
american_scientific_journal-2430	114	8	technology	technology	NOUN
american_scientific_journal-2430	114	9	,	,	PUNCT
american_scientific_journal-2430	114	10	and	and	CCONJ
american_scientific_journal-2430	114	11	sciences	science	NOUN
american_scientific_journal-2430	114	12	(	(	PUNCT
american_scientific_journal-2430	114	13	asrjets	asrjet	NOUN
american_scientific_journal-2430	114	14	)	)	PUNCT
american_scientific_journal-2430	114	15	(	(	PUNCT
american_scientific_journal-2430	114	16	2016	2016	NUM
american_scientific_journal-2430	114	17	)	)	PUNCT
american_scientific_journal-2430	114	18	volume	volume	NOUN
american_scientific_journal-2430	114	19	26	26	NUM
american_scientific_journal-2430	114	20	,	,	PUNCT
american_scientific_journal-2430	114	21	no	no	DET
american_scientific_journal-2430	114	22	4	4	NUM
american_scientific_journal-2430	114	23	,	,	PUNCT
american_scientific_journal-2430	114	24	pp	pp	ADV
american_scientific_journal-2430	114	25	151	151	NUM
american_scientific_journal-2430	114	26	-	-	SYM
american_scientific_journal-2430	114	27	168	168	NUM
american_scientific_journal-2430	114	28	160	160	NUM
american_scientific_journal-2430	114	29	in	in	ADP
american_scientific_journal-2430	114	30	eq	eq	ADP
american_scientific_journal-2430	114	31	.	.	PROPN
american_scientific_journal-2430	114	32	15	15	NUM
american_scientific_journal-2430	114	33	each	each	PRON
american_scientific_journal-2430	114	34	of	of	ADP
american_scientific_journal-2430	114	35	the	the	DET
american_scientific_journal-2430	114	36	three	three	NUM
american_scientific_journal-2430	114	37	components	component	NOUN
american_scientific_journal-2430	114	38	forms	form	VERB
american_scientific_journal-2430	114	39	a	a	DET
american_scientific_journal-2430	114	40	column	column	NOUN
american_scientific_journal-2430	114	41	vector	vector	NOUN
american_scientific_journal-2430	114	42	with	with	ADP
american_scientific_journal-2430	114	43	four	four	NUM
american_scientific_journal-2430	114	44	non	non	ADJ
american_scientific_journal-2430	114	45	-	-	ADJ
american_scientific_journal-2430	114	46	zero	zero	NUM
american_scientific_journal-2430	114	47	entries	entry	NOUN
american_scientific_journal-2430	114	48	only	only	ADV
american_scientific_journal-2430	114	49	,	,	PUNCT
american_scientific_journal-2430	114	50	since	since	SCONJ
american_scientific_journal-2430	114	51	there	there	PRON
american_scientific_journal-2430	114	52	are	be	VERB
american_scientific_journal-2430	114	53	only	only	ADV
american_scientific_journal-2430	114	54	four	four	NUM
american_scientific_journal-2430	114	55	local	local	ADJ
american_scientific_journal-2430	114	56	splines	spline	NOUN
american_scientific_journal-2430	114	57	contributing	contribute	VERB
american_scientific_journal-2430	114	58	non	non	ADJ
american_scientific_journal-2430	114	59	-	-	ADJ
american_scientific_journal-2430	114	60	zero	zero	NUM
american_scientific_journal-2430	114	61	values	value	NOUN
american_scientific_journal-2430	114	62	to	to	ADP
american_scientific_journal-2430	114	63	it	it	PRON
american_scientific_journal-2430	114	64	at	at	ADP
american_scientific_journal-2430	114	65	the	the	DET
american_scientific_journal-2430	114	66	specified	specified	ADJ
american_scientific_journal-2430	114	67	location	location	NOUN
american_scientific_journal-2430	114	68	y𝑖𝑖	y𝑖𝑖	NOUN
american_scientific_journal-2430	114	69	,	,	PUNCT
american_scientific_journal-2430	114	70	as	as	SCONJ
american_scientific_journal-2430	114	71	shown	show	VERB
american_scientific_journal-2430	114	72	in	in	ADP
american_scientific_journal-2430	114	73	figure	figure	NOUN
american_scientific_journal-2430	114	74	8	8	NUM
american_scientific_journal-2430	114	75	.	.	PUNCT
american_scientific_journal-2430	115	1	figure	figure	NOUN
american_scientific_journal-2430	115	2	8	8	NUM
american_scientific_journal-2430	115	3	:	:	PUNCT
american_scientific_journal-2430	115	4	local	local	ADJ
american_scientific_journal-2430	115	5	splines	spline	NOUN
american_scientific_journal-2430	115	6	associated	associate	VERB
american_scientific_journal-2430	115	7	with	with	ADP
american_scientific_journal-2430	115	8	concentrated	concentrated	ADJ
american_scientific_journal-2430	115	9	load	load	NOUN
american_scientific_journal-2430	115	10	p	p	NOUN
american_scientific_journal-2430	115	11	and	and	CCONJ
american_scientific_journal-2430	115	12	their	their	PRON
american_scientific_journal-2430	115	13	contributions	contribution	NOUN
american_scientific_journal-2430	115	14	to	to	PART
american_scientific_journal-2430	115	15	load	load	NOUN
american_scientific_journal-2430	115	16	matrix	matrix	NOUN
american_scientific_journal-2430	115	17	.	.	PUNCT
american_scientific_journal-2430	116	1	(	(	PUNCT
american_scientific_journal-2430	116	2	iii	iii	NOUN
american_scientific_journal-2430	116	3	)	)	PUNCT
american_scientific_journal-2430	116	4	for	for	ADP
american_scientific_journal-2430	116	5	uniform	uniform	ADJ
american_scientific_journal-2430	116	6	distribution	distribution	NOUN
american_scientific_journal-2430	116	7	load	load	NOUN
american_scientific_journal-2430	116	8	q	q	NOUN
american_scientific_journal-2430	117	1	[	[	X
american_scientific_journal-2430	117	2	8	8	NUM
american_scientific_journal-2430	117	3	]	]	PUNCT
american_scientific_journal-2430	117	4	{	{	PUNCT
american_scientific_journal-2430	117	5	f	f	X
american_scientific_journal-2430	117	6	}	}	PUNCT
american_scientific_journal-2430	117	7	=	=	SYM
american_scientific_journal-2430	117	8	∫	∫	PROPN
american_scientific_journal-2430	117	9	∫	∫	PROPN
american_scientific_journal-2430	117	10	𝐪𝐪	𝐪𝐪	ADP
american_scientific_journal-2430	117	11	[	[	X
american_scientific_journal-2430	117	12	𝝋𝝋]𝑻𝑻𝒃𝒃	𝝋𝝋]𝑻𝑻𝒃𝒃	PROPN
american_scientific_journal-2430	117	13	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	117	14	𝒂𝒂	𝒂𝒂	SYM
american_scientific_journal-2430	117	15	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	117	16	[	[	X
american_scientific_journal-2430	117	17	𝐍𝐍]𝑻𝑻	𝐍𝐍]𝑻𝑻	X
american_scientific_journal-2430	117	18	dx	dx	PROPN
american_scientific_journal-2430	117	19	dy	dy	NOUN
american_scientific_journal-2430	117	20	=	=	PUNCT
american_scientific_journal-2430	117	21	q∫	q∫	PROPN
american_scientific_journal-2430	117	22	[	[	X
american_scientific_journal-2430	117	23	𝝋𝝋]𝑻𝑻𝒂𝒂	𝝋𝝋]𝑻𝑻𝒂𝒂	ADV
american_scientific_journal-2430	117	24	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	117	25	dy	dy	NOUN
american_scientific_journal-2430	117	26	.∫	.∫	PUNCT
american_scientific_journal-2430	118	1	[	[	X
american_scientific_journal-2430	118	2	𝐍𝐍]𝑻𝑻𝒃𝒃	𝐍𝐍]𝑻𝑻𝒃𝒃	NUM
american_scientific_journal-2430	118	3	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	118	4	dx	dx	PROPN
american_scientific_journal-2430	118	5	=	=	PUNCT
american_scientific_journal-2430	118	6	q∫	q∫	PROPN
american_scientific_journal-2430	118	7	[	[	X
american_scientific_journal-2430	118	8	𝝋𝝋]𝑻𝑻𝒂𝒂	𝝋𝝋]𝑻𝑻𝒂𝒂	ADV
american_scientific_journal-2430	118	9	𝟎𝟎	𝟎𝟎	NUM
american_scientific_journal-2430	118	10	dy	dy	NOUN
american_scientific_journal-2430	118	11	.	.	PUNCT
american_scientific_journal-2430	119	1	⎩	⎩	PUNCT
american_scientific_journal-2430	120	1	⎨	⎨	ADJ
american_scientific_journal-2430	120	2	⎧	⎧	PROPN
american_scientific_journal-2430	120	3	𝐛𝐛/𝟐𝟐	𝐛𝐛/𝟐𝟐	PROPN
american_scientific_journal-2430	120	4	𝐛𝐛𝟐𝟐/𝟏𝟏𝟐𝟐	𝐛𝐛𝟐𝟐/𝟏𝟏𝟐𝟐	PROPN
american_scientific_journal-2430	120	5	𝐛𝐛/𝟐𝟐	𝐛𝐛/𝟐𝟐	PROPN
american_scientific_journal-2430	120	6	−𝐛𝐛𝟐𝟐	−𝐛𝐛𝟐𝟐	PROPN
american_scientific_journal-2430	120	7	/𝟏𝟏𝟐𝟐⎭	/𝟏𝟏𝟐𝟐⎭	PUNCT
american_scientific_journal-2430	120	8	⎬	⎬	PROPN
american_scientific_journal-2430	120	9	⎫	⎫	PROPN
american_scientific_journal-2430	120	10	…	…	PUNCT
american_scientific_journal-2430	120	11	…	…	PUNCT
american_scientific_journal-2430	120	12	(	(	PUNCT
american_scientific_journal-2430	120	13	16	16	NUM
american_scientific_journal-2430	120	14	)	)	PUNCT
american_scientific_journal-2430	120	15	6	6	NUM
american_scientific_journal-2430	120	16	.	.	PUNCT
american_scientific_journal-2430	120	17	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	120	18	plate	plate	NOUN
american_scientific_journal-2430	120	19	analogy	analogy	NOUN
american_scientific_journal-2430	120	20	the	the	DET
american_scientific_journal-2430	120	21	term	term	NOUN
american_scientific_journal-2430	120	22	"	"	PUNCT
american_scientific_journal-2430	120	23	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	120	24	plate	plate	NOUN
american_scientific_journal-2430	120	25	"	"	PUNCT
american_scientific_journal-2430	120	26	explicitly	explicitly	ADV
american_scientific_journal-2430	120	27	refers	refer	VERB
american_scientific_journal-2430	120	28	to	to	ADP
american_scientific_journal-2430	120	29	plates	plate	NOUN
american_scientific_journal-2430	120	30	of	of	ADP
american_scientific_journal-2430	120	31	either	either	CCONJ
american_scientific_journal-2430	120	32	material	material	NOUN
american_scientific_journal-2430	120	33	or	or	CCONJ
american_scientific_journal-2430	120	34	geometrical	geometrical	ADJ
american_scientific_journal-2430	120	35	orthotropy	orthotropy	NOUN
american_scientific_journal-2430	120	36	.	.	PUNCT
american_scientific_journal-2430	121	1	"	"	PUNCT
american_scientific_journal-2430	121	2	a	a	DET
american_scientific_journal-2430	121	3	materially	materially	ADV
american_scientific_journal-2430	121	4	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	121	5	"	"	PUNCT
american_scientific_journal-2430	121	6	plate	plate	NOUN
american_scientific_journal-2430	121	7	is	be	AUX
american_scientific_journal-2430	121	8	composed	compose	VERB
american_scientific_journal-2430	121	9	of	of	ADP
american_scientific_journal-2430	121	10	a	a	DET
american_scientific_journal-2430	121	11	homogeneous	homogeneous	ADJ
american_scientific_journal-2430	121	12	material	material	NOUN
american_scientific_journal-2430	121	13	which	which	PRON
american_scientific_journal-2430	121	14	has	have	VERB
american_scientific_journal-2430	121	15	different	different	ADJ
american_scientific_journal-2430	121	16	elastic	elastic	ADJ
american_scientific_journal-2430	121	17	properties	property	NOUN
american_scientific_journal-2430	121	18	in	in	ADP
american_scientific_journal-2430	121	19	two	two	NUM
american_scientific_journal-2430	121	20	orthogonal	orthogonal	ADJ
american_scientific_journal-2430	121	21	directions	direction	NOUN
american_scientific_journal-2430	121	22	but	but	CCONJ
american_scientific_journal-2430	121	23	the	the	DET
american_scientific_journal-2430	121	24	same	same	ADJ
american_scientific_journal-2430	121	25	geometric	geometric	ADJ
american_scientific_journal-2430	121	26	properties",[eugene,2005]𝟐𝟐	properties",[eugene,2005]𝟐𝟐	PROPN
american_scientific_journal-2430	121	27	,	,	PUNCT
american_scientific_journal-2430	121	28	i.e.	i.e.	X
american_scientific_journal-2430	121	29	the	the	DET
american_scientific_journal-2430	121	30	plate	plate	NOUN
american_scientific_journal-2430	121	31	has	have	VERB
american_scientific_journal-2430	121	32	the	the	DET
american_scientific_journal-2430	121	33	same	same	ADJ
american_scientific_journal-2430	121	34	second	second	ADJ
american_scientific_journal-2430	121	35	moment	moment	NOUN
american_scientific_journal-2430	121	36	of	of	ADP
american_scientific_journal-2430	121	37	area	area	NOUN
american_scientific_journal-2430	121	38	in	in	ADP
american_scientific_journal-2430	121	39	both	both	DET
american_scientific_journal-2430	121	40	orthogonal	orthogonal	ADJ
american_scientific_journal-2430	121	41	principal	principal	ADJ
american_scientific_journal-2430	121	42	directions	direction	NOUN
american_scientific_journal-2430	121	43	but	but	CCONJ
american_scientific_journal-2430	121	44	with	with	ADP
american_scientific_journal-2430	121	45	different	different	ADJ
american_scientific_journal-2430	121	46	moduli	modulus	NOUN
american_scientific_journal-2430	121	47	of	of	ADP
american_scientific_journal-2430	121	48	elasticity	elasticity	NOUN
american_scientific_journal-2430	121	49	.	.	PUNCT
american_scientific_journal-2430	122	1	it	it	PRON
american_scientific_journal-2430	122	2	should	should	AUX
american_scientific_journal-2430	122	3	be	be	AUX
american_scientific_journal-2430	122	4	noted	note	VERB
american_scientific_journal-2430	122	5	that	that	SCONJ
american_scientific_journal-2430	122	6	such	such	DET
american_scientific_journal-2430	122	7	a	a	DET
american_scientific_journal-2430	122	8	slab(materially	slab(materially	ADV
american_scientific_journal-2430	122	9	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	122	10	plate	plate	NOUN
american_scientific_journal-2430	122	11	)	)	PUNCT
american_scientific_journal-2430	122	12	is	be	AUX
american_scientific_journal-2430	122	13	not	not	PART
american_scientific_journal-2430	122	14	found	find	VERB
american_scientific_journal-2430	122	15	in	in	ADP
american_scientific_journal-2430	122	16	bridge	bridge	NOUN
american_scientific_journal-2430	122	17	decks	deck	NOUN
american_scientific_journal-2430	122	18	,	,	PUNCT
american_scientific_journal-2430	122	19	it	it	PRON
american_scientific_journal-2430	122	20	is	be	AUX
american_scientific_journal-2430	122	21	an	an	DET
american_scientific_journal-2430	122	22	accurate	accurate	ADJ
american_scientific_journal-2430	122	23	approximation	approximation	NOUN
american_scientific_journal-2430	122	24	of	of	ADP
american_scientific_journal-2430	122	25	some	some	DET
american_scientific_journal-2430	122	26	practical	practical	ADJ
american_scientific_journal-2430	122	27	condition	condition	NOUN
american_scientific_journal-2430	122	28	like	like	ADP
american_scientific_journal-2430	122	29	timber	timber	NOUN
american_scientific_journal-2430	122	30	.	.	PUNCT
american_scientific_journal-2430	123	1	most	most	ADJ
american_scientific_journal-2430	123	2	bridge	bridge	NOUN
american_scientific_journal-2430	123	3	decks	deck	NOUN
american_scientific_journal-2430	123	4	slabs	slab	NOUN
american_scientific_journal-2430	123	5	have	have	VERB
american_scientific_journal-2430	123	6	different	different	ADJ
american_scientific_journal-2430	123	7	values	value	NOUN
american_scientific_journal-2430	123	8	of	of	ADP
american_scientific_journal-2430	123	9	the	the	DET
american_scientific_journal-2430	123	10	second	second	ADJ
american_scientific_journal-2430	123	11	moment	moment	NOUN
american_scientific_journal-2430	123	12	of	of	ADP
american_scientific_journal-2430	123	13	area	area	NOUN
american_scientific_journal-2430	123	14	in	in	ADP
american_scientific_journal-2430	123	15	the	the	DET
american_scientific_journal-2430	123	16	two	two	NUM
american_scientific_journal-2430	123	17	orthogonal	orthogonal	ADJ
american_scientific_journal-2430	123	18	principal	principal	ADJ
american_scientific_journal-2430	123	19	directions	direction	NOUN
american_scientific_journal-2430	123	20	,	,	PUNCT
american_scientific_journal-2430	123	21	such	such	ADJ
american_scientific_journal-2430	123	22	as	as	ADP
american_scientific_journal-2430	123	23	voided	void	VERB
american_scientific_journal-2430	123	24	slabs	slab	NOUN
american_scientific_journal-2430	123	25	,	,	PUNCT
american_scientific_journal-2430	123	26	and	and	CCONJ
american_scientific_journal-2430	123	27	reinforced	reinforce	VERB
american_scientific_journal-2430	123	28	concrete	concrete	ADJ
american_scientific_journal-2430	123	29	ones	one	NOUN
american_scientific_journal-2430	123	30	(	(	PUNCT
american_scientific_journal-2430	123	31	since	since	SCONJ
american_scientific_journal-2430	123	32	different	different	ADJ
american_scientific_journal-2430	123	33	amounts	amount	NOUN
american_scientific_journal-2430	123	34	of	of	ADP
american_scientific_journal-2430	123	35	reinforcement	reinforcement	NOUN
american_scientific_journal-2430	123	36	are	be	AUX
american_scientific_journal-2430	123	37	used	use	VERB
american_scientific_journal-2430	123	38	in	in	ADP
american_scientific_journal-2430	123	39	those	those	DET
american_scientific_journal-2430	123	40	two	two	NUM
american_scientific_journal-2430	123	41	directions	direction	NOUN
american_scientific_journal-2430	123	42	)	)	PUNCT
american_scientific_journal-2430	123	43	,	,	PUNCT
american_scientific_journal-2430	123	44	such	such	ADJ
american_scientific_journal-2430	123	45	types	type	NOUN
american_scientific_journal-2430	123	46	of	of	ADP
american_scientific_journal-2430	123	47	slabs	slab	NOUN
american_scientific_journal-2430	123	48	are	be	AUX
american_scientific_journal-2430	123	49	referred	refer	VERB
american_scientific_journal-2430	123	50	to	to	ADP
american_scientific_journal-2430	123	51	as	as	ADP
american_scientific_journal-2430	123	52	geometrically	geometrically	ADV
american_scientific_journal-2430	123	53	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	124	1	[	[	X
american_scientific_journal-2430	124	2	6,10	6,10	X
american_scientific_journal-2430	124	3	]	]	SYM
american_scientific_journal-2430	124	4	7	7	NUM
american_scientific_journal-2430	124	5	.	.	NOUN
american_scientific_journal-2430	124	6	procedure	procedure	NOUN
american_scientific_journal-2430	124	7	of	of	ADP
american_scientific_journal-2430	124	8	the	the	DET
american_scientific_journal-2430	124	9	present	present	ADJ
american_scientific_journal-2430	124	10	analysis	analysis	NOUN
american_scientific_journal-2430	124	11	of	of	ADP
american_scientific_journal-2430	124	12	ribbed	rib	VERB
american_scientific_journal-2430	124	13	bridge	bridge	NOUN
american_scientific_journal-2430	124	14	decks	deck	VERB
american_scientific_journal-2430	124	15	the	the	DET
american_scientific_journal-2430	124	16	present	present	ADJ
american_scientific_journal-2430	124	17	analysis	analysis	NOUN
american_scientific_journal-2430	124	18	consist	consist	VERB
american_scientific_journal-2430	124	19	of	of	ADP
american_scientific_journal-2430	124	20	two	two	NUM
american_scientific_journal-2430	124	21	discrete	discrete	ADJ
american_scientific_journal-2430	124	22	stages	stage	NOUN
american_scientific_journal-2430	124	23	;	;	PUNCT
american_scientific_journal-2430	124	24	a	a	DET
american_scientific_journal-2430	124	25	preparatory	preparatory	ADJ
american_scientific_journal-2430	124	26	stage	stage	NOUN
american_scientific_journal-2430	124	27	(	(	PUNCT
american_scientific_journal-2430	124	28	previously	previously	ADV
american_scientific_journal-2430	124	29	treated	treat	VERB
american_scientific_journal-2430	124	30	by	by	ADP
american_scientific_journal-2430	124	31	researchers	researcher	NOUN
american_scientific_journal-2430	124	32	in	in	ADP
american_scientific_journal-2430	124	33	the	the	DET
american_scientific_journal-2430	124	34	field	field	NOUN
american_scientific_journal-2430	124	35	of	of	ADP
american_scientific_journal-2430	124	36	deck	deck	NOUN
american_scientific_journal-2430	124	37	simulation	simulation	PROPN
american_scientific_journal-2430	124	38	)	)	PUNCT
american_scientific_journal-2430	124	39	,	,	PUNCT
american_scientific_journal-2430	124	40	and	and	CCONJ
american_scientific_journal-2430	124	41	the	the	DET
american_scientific_journal-2430	124	42	major	major	ADJ
american_scientific_journal-2430	124	43	stage	stage	NOUN
american_scientific_journal-2430	124	44	concerning	concern	VERB
american_scientific_journal-2430	124	45	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	124	46	sfsm	sfsm	ADJ
american_scientific_journal-2430	124	47	analysis	analysis	NOUN
american_scientific_journal-2430	124	48	solely	solely	ADV
american_scientific_journal-2430	124	49	treated	treat	VERB
american_scientific_journal-2430	124	50	by	by	ADP
american_scientific_journal-2430	124	51	the	the	DET
american_scientific_journal-2430	124	52	present	present	ADJ
american_scientific_journal-2430	124	53	work	work	NOUN
american_scientific_journal-2430	124	54	.	.	PUNCT
american_scientific_journal-2430	125	1	american	american	ADJ
american_scientific_journal-2430	125	2	scientific	scientific	ADJ
american_scientific_journal-2430	125	3	research	research	PROPN
american_scientific_journal-2430	125	4	journal	journal	NOUN
american_scientific_journal-2430	125	5	for	for	ADP
american_scientific_journal-2430	125	6	engineering	engineering	NOUN
american_scientific_journal-2430	125	7	,	,	PUNCT
american_scientific_journal-2430	125	8	technology	technology	NOUN
american_scientific_journal-2430	125	9	,	,	PUNCT
american_scientific_journal-2430	125	10	and	and	CCONJ
american_scientific_journal-2430	125	11	sciences	science	NOUN
american_scientific_journal-2430	125	12	(	(	PUNCT
american_scientific_journal-2430	125	13	asrjets	asrjet	NOUN
american_scientific_journal-2430	125	14	)	)	PUNCT
american_scientific_journal-2430	125	15	(	(	PUNCT
american_scientific_journal-2430	125	16	2016	2016	NUM
american_scientific_journal-2430	125	17	)	)	PUNCT
american_scientific_journal-2430	125	18	volume	volume	NOUN
american_scientific_journal-2430	125	19	26	26	NUM
american_scientific_journal-2430	125	20	,	,	PUNCT
american_scientific_journal-2430	125	21	no	no	DET
american_scientific_journal-2430	125	22	4	4	NUM
american_scientific_journal-2430	125	23	,	,	PUNCT
american_scientific_journal-2430	125	24	pp	pp	ADV
american_scientific_journal-2430	125	25	151	151	NUM
american_scientific_journal-2430	125	26	-	-	SYM
american_scientific_journal-2430	125	27	168	168	NUM
american_scientific_journal-2430	125	28	161	161	NUM
american_scientific_journal-2430	125	29	7.1	7.1	NUM
american_scientific_journal-2430	125	30	first	first	ADJ
american_scientific_journal-2430	125	31	(	(	PUNCT
american_scientific_journal-2430	125	32	preparatory	preparatory	ADJ
american_scientific_journal-2430	125	33	)	)	PUNCT
american_scientific_journal-2430	125	34	stage	stage	NOUN
american_scientific_journal-2430	125	35	:	:	PUNCT
american_scientific_journal-2430	125	36	modeling	model	VERB
american_scientific_journal-2430	125	37	the	the	DET
american_scientific_journal-2430	125	38	ribbed	rib	VERB
american_scientific_journal-2430	125	39	bridge	bridge	NOUN
american_scientific_journal-2430	125	40	deck	deck	NOUN
american_scientific_journal-2430	125	41	by	by	ADP
american_scientific_journal-2430	125	42	equivalent	equivalent	ADJ
american_scientific_journal-2430	125	43	materially	materially	ADV
american_scientific_journal-2430	125	44	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	125	45	plate	plate	NOUN
american_scientific_journal-2430	125	46	this	this	DET
american_scientific_journal-2430	125	47	stage	stage	NOUN
american_scientific_journal-2430	125	48	is	be	AUX
american_scientific_journal-2430	125	49	summarized	summarize	VERB
american_scientific_journal-2430	125	50	in	in	ADP
american_scientific_journal-2430	125	51	the	the	DET
american_scientific_journal-2430	125	52	following	follow	VERB
american_scientific_journal-2430	125	53	steps	step	NOUN
american_scientific_journal-2430	125	54	:	:	PUNCT
american_scientific_journal-2430	125	55	1calculating	1calculate	VERB
american_scientific_journal-2430	125	56	the	the	DET
american_scientific_journal-2430	125	57	second	second	ADJ
american_scientific_journal-2430	125	58	moments	moment	NOUN
american_scientific_journal-2430	125	59	of	of	ADP
american_scientific_journal-2430	125	60	area	area	NOUN
american_scientific_journal-2430	125	61	per	per	ADP
american_scientific_journal-2430	125	62	unit	unit	NOUN
american_scientific_journal-2430	125	63	width	width	NOUN
american_scientific_journal-2430	125	64	(	(	PUNCT
american_scientific_journal-2430	125	65	or	or	CCONJ
american_scientific_journal-2430	125	66	length	length	NOUN
american_scientific_journal-2430	125	67	)	)	PUNCT
american_scientific_journal-2430	125	68	of	of	ADP
american_scientific_journal-2430	125	69	the	the	DET
american_scientific_journal-2430	125	70	deck	deck	NOUN
american_scientific_journal-2430	125	71	cross	cross	NOUN
american_scientific_journal-2430	125	72	-	-	NOUN
american_scientific_journal-2430	125	73	sections	section	NOUN
american_scientific_journal-2430	125	74	in	in	ADP
american_scientific_journal-2430	125	75	both	both	DET
american_scientific_journal-2430	125	76	orthogonal	orthogonal	ADJ
american_scientific_journal-2430	125	77	directions	direction	NOUN
american_scientific_journal-2430	125	78	of	of	ADP
american_scientific_journal-2430	125	79	the	the	DET
american_scientific_journal-2430	125	80	deck	deck	NOUN
american_scientific_journal-2430	125	81	(	(	PUNCT
american_scientific_journal-2430	125	82	ix	ix	PROPN
american_scientific_journal-2430	125	83	and	and	CCONJ
american_scientific_journal-2430	125	84	iy	iy	INTJ
american_scientific_journal-2430	125	85	,	,	PUNCT
american_scientific_journal-2430	125	86	respectively	respectively	ADV
american_scientific_journal-2430	125	87	)	)	PUNCT
american_scientific_journal-2430	125	88	.	.	PUNCT
american_scientific_journal-2430	126	1	2finding	2finde	VERB
american_scientific_journal-2430	126	2	the	the	DET
american_scientific_journal-2430	126	3	new	new	ADJ
american_scientific_journal-2430	126	4	equivalent	equivalent	ADJ
american_scientific_journal-2430	126	5	thickness	thickness	NOUN
american_scientific_journal-2430	126	6	by	by	ADP
american_scientific_journal-2430	126	7	using	use	VERB
american_scientific_journal-2430	126	8	equation	equation	NOUN
american_scientific_journal-2430	126	9	17	17	NUM
american_scientific_journal-2430	126	10	,	,	PUNCT
american_scientific_journal-2430	126	11	which	which	PRON
american_scientific_journal-2430	126	12	means	mean	VERB
american_scientific_journal-2430	126	13	getting	get	VERB
american_scientific_journal-2430	126	14	the	the	DET
american_scientific_journal-2430	126	15	equivalent	equivalent	ADJ
american_scientific_journal-2430	126	16	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	126	17	plate	plate	NOUN
american_scientific_journal-2430	126	18	(	(	PUNCT
american_scientific_journal-2430	126	19	solid	solid	ADJ
american_scientific_journal-2430	126	20	plate	plate	NOUN
american_scientific_journal-2430	126	21	)	)	PUNCT
american_scientific_journal-2430	126	22	that	that	PRON
american_scientific_journal-2430	126	23	has	have	VERB
american_scientific_journal-2430	126	24	a	a	DET
american_scientific_journal-2430	126	25	constant	constant	ADJ
american_scientific_journal-2430	126	26	thickness	thickness	NOUN
american_scientific_journal-2430	126	27	(	(	PUNCT
american_scientific_journal-2430	126	28	ix	ix	PROPN
american_scientific_journal-2430	126	29	=	=	SYM
american_scientific_journal-2430	126	30	iy	iy	PROPN
american_scientific_journal-2430	126	31	)	)	PUNCT
american_scientific_journal-2430	126	32	.	.	PUNCT
american_scientific_journal-2430	127	1	d	d	X
american_scientific_journal-2430	127	2	=	=	SYM
american_scientific_journal-2430	127	3	√12𝐼𝐼3	√12𝐼𝐼3	X
american_scientific_journal-2430	127	4	…	…	PUNCT
american_scientific_journal-2430	127	5	…	…	PUNCT
american_scientific_journal-2430	127	6	.(17	.(17	PUNCT
american_scientific_journal-2430	127	7	)	)	PUNCT
american_scientific_journal-2430	128	1	3calculation	3calculation	NUM
american_scientific_journal-2430	128	2	of	of	ADP
american_scientific_journal-2430	128	3	the	the	DET
american_scientific_journal-2430	128	4	new	new	ADJ
american_scientific_journal-2430	128	5	modulus	modulus	NOUN
american_scientific_journal-2430	128	6	of	of	ADP
american_scientific_journal-2430	128	7	elasticity	elasticity	NOUN
american_scientific_journal-2430	128	8	ey	ey	NOUN
american_scientific_journal-2430	128	9	and	and	CCONJ
american_scientific_journal-2430	128	10	poisson	poisson	PROPN
american_scientific_journal-2430	128	11	's	's	PART
american_scientific_journal-2430	128	12	ratio	ratio	NOUN
american_scientific_journal-2430	128	13	𝒗𝒗y	𝒗𝒗y	VERB
american_scientific_journal-2430	128	14	in	in	ADP
american_scientific_journal-2430	128	15	the	the	DET
american_scientific_journal-2430	128	16	transverse	transverse	NOUN
american_scientific_journal-2430	128	17	(	(	PUNCT
american_scientific_journal-2430	128	18	y	y	NOUN
american_scientific_journal-2430	128	19	)	)	PUNCT
american_scientific_journal-2430	128	20	direction	direction	NOUN
american_scientific_journal-2430	128	21	,	,	PUNCT
american_scientific_journal-2430	128	22	using	use	VERB
american_scientific_journal-2430	128	23	eqs	eqs	PROPN
american_scientific_journal-2430	128	24	.	.	PROPN
american_scientific_journal-2430	128	25	18	18	NUM
american_scientific_journal-2430	128	26	and	and	CCONJ
american_scientific_journal-2430	128	27	19	19	NUM
american_scientific_journal-2430	128	28	,	,	PUNCT
american_scientific_journal-2430	128	29	respectively	respectively	ADV
american_scientific_journal-2430	128	30	.	.	PUNCT
american_scientific_journal-2430	129	1	𝑬𝑬𝒚𝒚𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆	𝑬𝑬𝒚𝒚𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆	PROPN
american_scientific_journal-2430	129	2	=	=	SYM
american_scientific_journal-2430	129	3	𝑬𝑬𝒔𝒔𝒆𝒆𝒂𝒂𝒃𝒃	𝑬𝑬𝒔𝒔𝒆𝒆𝒂𝒂𝒃𝒃	PROPN
american_scientific_journal-2430	129	4	𝑰𝑰𝒚𝒚	𝑰𝑰𝒚𝒚	PART
american_scientific_journal-2430	129	5	𝒔𝒔𝒆𝒆𝒂𝒂𝒃𝒃	𝒔𝒔𝒆𝒆𝒂𝒂𝒃𝒃	NOUN
american_scientific_journal-2430	129	6	𝑰𝑰𝒙𝒙𝒔𝒔𝒆𝒆𝒂𝒂𝒃𝒃	𝑰𝑰𝒙𝒙𝒔𝒔𝒆𝒆𝒂𝒂𝒃𝒃	PROPN
american_scientific_journal-2430	129	7	…	…	PUNCT
american_scientific_journal-2430	129	8	…	…	PUNCT
american_scientific_journal-2430	129	9	(	(	PUNCT
american_scientific_journal-2430	129	10	18	18	NUM
american_scientific_journal-2430	129	11	)	)	PUNCT
american_scientific_journal-2430	129	12	𝒗𝒗𝒚𝒚	𝒗𝒗𝒚𝒚	NOUN
american_scientific_journal-2430	130	1	=	=	SYM
american_scientific_journal-2430	130	2	𝒗𝒗𝒙𝒙	𝒗𝒗𝒙𝒙	PROPN
american_scientific_journal-2430	130	3	𝑬𝑬𝒙𝒙	𝑬𝑬𝒙𝒙	PROPN
american_scientific_journal-2430	130	4	𝑬𝑬𝒚𝒚	𝑬𝑬𝒚𝒚	PROPN
american_scientific_journal-2430	130	5	…	…	PUNCT
american_scientific_journal-2430	130	6	…	…	PUNCT
american_scientific_journal-2430	130	7	.(19	.(19	X
american_scientific_journal-2430	130	8	)	)	PUNCT
american_scientific_journal-2430	131	1	4finding	4finde	VERB
american_scientific_journal-2430	131	2	the	the	DET
american_scientific_journal-2430	131	3	equivalent	equivalent	ADJ
american_scientific_journal-2430	131	4	rigidities	rigidity	NOUN
american_scientific_journal-2430	131	5	of	of	ADP
american_scientific_journal-2430	131	6	the	the	DET
american_scientific_journal-2430	131	7	equivalent	equivalent	ADJ
american_scientific_journal-2430	131	8	materially	materially	ADV
american_scientific_journal-2430	131	9	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	131	10	plate	plate	NOUN
american_scientific_journal-2430	131	11	,	,	PUNCT
american_scientific_journal-2430	131	12	which	which	PRON
american_scientific_journal-2430	131	13	is	be	AUX
american_scientific_journal-2430	131	14	found	find	VERB
american_scientific_journal-2430	131	15	by	by	ADP
american_scientific_journal-2430	131	16	using	use	VERB
american_scientific_journal-2430	131	17	eq.12	eq.12	NOUN
american_scientific_journal-2430	131	18	.	.	PUNCT
american_scientific_journal-2430	132	1	this	this	DET
american_scientific_journal-2430	132	2	technique	technique	NOUN
american_scientific_journal-2430	132	3	is	be	AUX
american_scientific_journal-2430	132	4	schematically	schematically	NOUN
american_scientific_journal-2430	132	5	shown	show	VERB
american_scientific_journal-2430	132	6	in	in	ADP
american_scientific_journal-2430	132	7	figure	figure	NOUN
american_scientific_journal-2430	132	8	9	9	NUM
american_scientific_journal-2430	132	9	.	.	PUNCT
american_scientific_journal-2430	133	1	figure	figure	VERB
american_scientific_journal-2430	133	2	9	9	NUM
american_scientific_journal-2430	133	3	:	:	PUNCT
american_scientific_journal-2430	133	4	materially	materially	ADV
american_scientific_journal-2430	133	5	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	133	6	plate	plate	NOUN
american_scientific_journal-2430	133	7	technique	technique	NOUN
american_scientific_journal-2430	133	8	.	.	PUNCT
american_scientific_journal-2430	134	1	american	american	ADJ
american_scientific_journal-2430	134	2	scientific	scientific	ADJ
american_scientific_journal-2430	134	3	research	research	PROPN
american_scientific_journal-2430	134	4	journal	journal	NOUN
american_scientific_journal-2430	134	5	for	for	ADP
american_scientific_journal-2430	134	6	engineering	engineering	NOUN
american_scientific_journal-2430	134	7	,	,	PUNCT
american_scientific_journal-2430	134	8	technology	technology	NOUN
american_scientific_journal-2430	134	9	,	,	PUNCT
american_scientific_journal-2430	134	10	and	and	CCONJ
american_scientific_journal-2430	134	11	sciences	science	NOUN
american_scientific_journal-2430	134	12	(	(	PUNCT
american_scientific_journal-2430	134	13	asrjets	asrjet	NOUN
american_scientific_journal-2430	134	14	)	)	PUNCT
american_scientific_journal-2430	134	15	(	(	PUNCT
american_scientific_journal-2430	134	16	2016	2016	NUM
american_scientific_journal-2430	134	17	)	)	PUNCT
american_scientific_journal-2430	134	18	volume	volume	NOUN
american_scientific_journal-2430	134	19	26	26	NUM
american_scientific_journal-2430	134	20	,	,	PUNCT
american_scientific_journal-2430	134	21	no	no	DET
american_scientific_journal-2430	134	22	4	4	NUM
american_scientific_journal-2430	134	23	,	,	PUNCT
american_scientific_journal-2430	134	24	pp	pp	ADV
american_scientific_journal-2430	134	25	151	151	NUM
american_scientific_journal-2430	134	26	-	-	SYM
american_scientific_journal-2430	134	27	168	168	NUM
american_scientific_journal-2430	134	28	162	162	NUM
american_scientific_journal-2430	134	29	7.2	7.2	NUM
american_scientific_journal-2430	134	30	the	the	DET
american_scientific_journal-2430	134	31	second	second	ADJ
american_scientific_journal-2430	134	32	(	(	PUNCT
american_scientific_journal-2430	134	33	main	main	ADJ
american_scientific_journal-2430	134	34	)	)	PUNCT
american_scientific_journal-2430	134	35	stage	stage	NOUN
american_scientific_journal-2430	134	36	the	the	DET
american_scientific_journal-2430	134	37	analysis	analysis	NOUN
american_scientific_journal-2430	134	38	of	of	ADP
american_scientific_journal-2430	134	39	equivalent	equivalent	ADJ
american_scientific_journal-2430	134	40	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	134	41	plates	plate	NOUN
american_scientific_journal-2430	134	42	by	by	ADP
american_scientific_journal-2430	134	43	using	use	VERB
american_scientific_journal-2430	134	44	the	the	DET
american_scientific_journal-2430	134	45	b3	b3	NOUN
american_scientific_journal-2430	134	46	-	-	PUNCT
american_scientific_journal-2430	134	47	spline	spline	NOUN
american_scientific_journal-2430	134	48	finite	finite	PROPN
american_scientific_journal-2430	134	49	strip	strip	PROPN
american_scientific_journal-2430	134	50	method	method	NOUN
american_scientific_journal-2430	134	51	under	under	ADP
american_scientific_journal-2430	134	52	bending	bend	VERB
american_scientific_journal-2430	134	53	action	action	NOUN
american_scientific_journal-2430	134	54	in	in	ADP
american_scientific_journal-2430	134	55	this	this	DET
american_scientific_journal-2430	134	56	study	study	NOUN
american_scientific_journal-2430	134	57	is	be	AUX
american_scientific_journal-2430	134	58	formulated	formulate	VERB
american_scientific_journal-2430	134	59	by	by	ADP
american_scientific_journal-2430	134	60	matlab	matlab	PROPN
american_scientific_journal-2430	134	61	computer	computer	NOUN
american_scientific_journal-2430	134	62	package	package	NOUN
american_scientific_journal-2430	134	63	where	where	SCONJ
american_scientific_journal-2430	134	64	a	a	DET
american_scientific_journal-2430	134	65	programming	programming	NOUN
american_scientific_journal-2430	134	66	code	code	NOUN
american_scientific_journal-2430	134	67	named	name	VERB
american_scientific_journal-2430	134	68	raobdb3sfsm	raobdb3sfsm	PROPN
american_scientific_journal-2430	134	69	has	have	AUX
american_scientific_journal-2430	134	70	been	be	AUX
american_scientific_journal-2430	134	71	constructed	construct	VERB
american_scientific_journal-2430	134	72	.	.	PUNCT
american_scientific_journal-2430	135	1	formulation	formulation	NOUN
american_scientific_journal-2430	135	2	of	of	ADP
american_scientific_journal-2430	135	3	the	the	DET
american_scientific_journal-2430	135	4	program	program	NOUN
american_scientific_journal-2430	135	5	consists	consist	VERB
american_scientific_journal-2430	135	6	of	of	ADP
american_scientific_journal-2430	135	7	two	two	NUM
american_scientific_journal-2430	135	8	stages	stage	NOUN
american_scientific_journal-2430	135	9	:	:	PUNCT
american_scientific_journal-2430	135	10	astage	astage	VERB
american_scientific_journal-2430	135	11	i	i	PRON
american_scientific_journal-2430	135	12	this	this	DET
american_scientific_journal-2430	135	13	stage	stage	NOUN
american_scientific_journal-2430	135	14	involves	involve	VERB
american_scientific_journal-2430	135	15	formulation	formulation	NOUN
american_scientific_journal-2430	135	16	of	of	ADP
american_scientific_journal-2430	135	17	the	the	DET
american_scientific_journal-2430	135	18	bending	bend	VERB
american_scientific_journal-2430	135	19	stiffness	stiffness	ADJ
american_scientific_journal-2430	135	20	matrix	matrix	NOUN
american_scientific_journal-2430	135	21	of	of	ADP
american_scientific_journal-2430	135	22	a	a	DET
american_scientific_journal-2430	135	23	rectangular	rectangular	ADJ
american_scientific_journal-2430	135	24	strip	strip	NOUN
american_scientific_journal-2430	135	25	according	accord	VERB
american_scientific_journal-2430	135	26	to	to	ADP
american_scientific_journal-2430	135	27	the	the	DET
american_scientific_journal-2430	135	28	following	follow	VERB
american_scientific_journal-2430	135	29	steps	step	NOUN
american_scientific_journal-2430	135	30	:	:	PUNCT
american_scientific_journal-2430	135	31	1	1	X
american_scientific_journal-2430	135	32	.	.	X
american_scientific_journal-2430	135	33	calculating	calculate	VERB
american_scientific_journal-2430	135	34	values	value	NOUN
american_scientific_journal-2430	135	35	of	of	ADP
american_scientific_journal-2430	135	36	the	the	DET
american_scientific_journal-2430	135	37	coupling	coupling	NOUN
american_scientific_journal-2430	135	38	integrations	integration	NOUN
american_scientific_journal-2430	135	39	represented	represent	VERB
american_scientific_journal-2430	135	40	by	by	ADP
american_scientific_journal-2430	135	41	i1𝑖𝑖𝑖𝑖	i1𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2430	135	42	,	,	PUNCT
american_scientific_journal-2430	135	43	i2𝑖𝑖𝑖𝑖	i2𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2430	135	44	,	,	PUNCT
american_scientific_journal-2430	135	45	i3𝑖𝑖𝑖𝑖	i3𝑖𝑖𝑖𝑖	PROPN
american_scientific_journal-2430	135	46	,	,	PUNCT
american_scientific_journal-2430	135	47	i4𝑖𝑖𝑖𝑖	i4𝑖𝑖𝑖𝑖	NOUN
american_scientific_journal-2430	135	48	and	and	CCONJ
american_scientific_journal-2430	135	49	i5𝑖𝑖𝑖𝑖	i5𝑖𝑖𝑖𝑖	NOUN
american_scientific_journal-2430	135	50	.	.	PUNCT
american_scientific_journal-2430	136	1	2	2	X
american_scientific_journal-2430	136	2	.	.	X
american_scientific_journal-2430	136	3	formulation	formulation	NOUN
american_scientific_journal-2430	136	4	of	of	ADP
american_scientific_journal-2430	136	5	the	the	DET
american_scientific_journal-2430	136	6	submatrices	submatrice	NOUN
american_scientific_journal-2430	136	7	:	:	PUNCT
american_scientific_journal-2430	136	8	the	the	DET
american_scientific_journal-2430	136	9	dimensions	dimension	NOUN
american_scientific_journal-2430	136	10	of	of	ADP
american_scientific_journal-2430	136	11	each	each	DET
american_scientific_journal-2430	136	12	(	(	PUNCT
american_scientific_journal-2430	136	13	4x4	4x4	NUM
american_scientific_journal-2430	136	14	)	)	PUNCT
american_scientific_journal-2430	136	15	bending	bend	VERB
american_scientific_journal-2430	136	16	stiffness	stiffness	ADJ
american_scientific_journal-2430	136	17	submatrix	submatrix	NOUN
american_scientific_journal-2430	136	18	,	,	PUNCT
american_scientific_journal-2430	136	19	previously	previously	ADV
american_scientific_journal-2430	136	20	determined	determine	VERB
american_scientific_journal-2430	136	21	and	and	CCONJ
american_scientific_journal-2430	136	22	given	give	VERB
american_scientific_journal-2430	136	23	in	in	ADP
american_scientific_journal-2430	136	24	table	table	NOUN
american_scientific_journal-2430	136	25	3,will	3,will	NUM
american_scientific_journal-2430	136	26	be	be	AUX
american_scientific_journal-2430	136	27	according	accord	VERB
american_scientific_journal-2430	136	28	to	to	ADP
american_scientific_journal-2430	136	29	the	the	DET
american_scientific_journal-2430	136	30	number	number	NOUN
american_scientific_journal-2430	136	31	of	of	ADP
american_scientific_journal-2430	136	32	sections	section	NOUN
american_scientific_journal-2430	136	33	into	into	ADP
american_scientific_journal-2430	136	34	which	which	PRON
american_scientific_journal-2430	136	35	the	the	DET
american_scientific_journal-2430	136	36	nodal	nodal	NOUN
american_scientific_journal-2430	136	37	line	line	NOUN
american_scientific_journal-2430	136	38	has	have	AUX
american_scientific_journal-2430	136	39	been	be	AUX
american_scientific_journal-2430	136	40	discretized	discretize	VERB
american_scientific_journal-2430	136	41	.	.	PUNCT
american_scientific_journal-2430	137	1	in	in	ADP
american_scientific_journal-2430	137	2	the	the	DET
american_scientific_journal-2430	137	3	present	present	ADJ
american_scientific_journal-2430	137	4	work	work	NOUN
american_scientific_journal-2430	137	5	a	a	DET
american_scientific_journal-2430	137	6	fixed	fix	VERB
american_scientific_journal-2430	137	7	number	number	NOUN
american_scientific_journal-2430	137	8	of	of	ADP
american_scientific_journal-2430	137	9	equally	equally	ADV
american_scientific_journal-2430	137	10	spaced	spaced	ADJ
american_scientific_journal-2430	137	11	sections	section	NOUN
american_scientific_journal-2430	137	12	(	(	PUNCT
american_scientific_journal-2430	137	13	five	five	NUM
american_scientific_journal-2430	137	14	equally	equally	ADV
american_scientific_journal-2430	137	15	spaced	spaced	ADJ
american_scientific_journal-2430	137	16	sections	section	NOUN
american_scientific_journal-2430	137	17	;	;	PUNCT
american_scientific_journal-2430	137	18	m=5	m=5	X
american_scientific_journal-2430	137	19	)	)	PUNCT
american_scientific_journal-2430	137	20	has	have	AUX
american_scientific_journal-2430	137	21	been	be	AUX
american_scientific_journal-2430	137	22	adopted	adopt	VERB
american_scientific_journal-2430	137	23	.	.	PUNCT
american_scientific_journal-2430	138	1	hence	hence	ADV
american_scientific_journal-2430	138	2	,	,	PUNCT
american_scientific_journal-2430	138	3	the	the	DET
american_scientific_journal-2430	138	4	dimensions	dimension	NOUN
american_scientific_journal-2430	138	5	of	of	ADP
american_scientific_journal-2430	138	6	each	each	DET
american_scientific_journal-2430	138	7	submatrix	submatrix	NOUN
american_scientific_journal-2430	138	8	will	will	AUX
american_scientific_journal-2430	138	9	be	be	AUX
american_scientific_journal-2430	138	10	(	(	PUNCT
american_scientific_journal-2430	138	11	m+3	m+3	PROPN
american_scientific_journal-2430	138	12	)	)	PUNCT
american_scientific_journal-2430	138	13	×	×	NOUN
american_scientific_journal-2430	138	14	(	(	PUNCT
american_scientific_journal-2430	138	15	m+3	m+3	PROPN
american_scientific_journal-2430	138	16	)	)	PUNCT
american_scientific_journal-2430	138	17	=	=	PUNCT
american_scientific_journal-2430	138	18	[	[	PUNCT
american_scientific_journal-2430	138	19	8x8	8x8	NUM
american_scientific_journal-2430	138	20	]	]	PUNCT
american_scientific_journal-2430	138	21	,	,	PUNCT
american_scientific_journal-2430	138	22	therefore	therefore	ADV
american_scientific_journal-2430	138	23	the	the	DET
american_scientific_journal-2430	138	24	dimensions	dimension	NOUN
american_scientific_journal-2430	138	25	of	of	ADP
american_scientific_journal-2430	138	26	each	each	DET
american_scientific_journal-2430	138	27	rectangular	rectangular	ADJ
american_scientific_journal-2430	138	28	strip	strip	NOUN
american_scientific_journal-2430	138	29	will	will	AUX
american_scientific_journal-2430	138	30	be	be	AUX
american_scientific_journal-2430	138	31	32x32	32x32	NUM
american_scientific_journal-2430	138	32	.	.	PUNCT
american_scientific_journal-2430	139	1	3	3	X
american_scientific_journal-2430	139	2	.	.	X
american_scientific_journal-2430	139	3	formulating	formulate	VERB
american_scientific_journal-2430	139	4	the	the	DET
american_scientific_journal-2430	139	5	global	global	ADJ
american_scientific_journal-2430	139	6	stiffness	stiffness	NOUN
american_scientific_journal-2430	139	7	matrix	matrix	NOUN
american_scientific_journal-2430	139	8	:	:	PUNCT
american_scientific_journal-2430	139	9	the	the	DET
american_scientific_journal-2430	139	10	global	global	ADJ
american_scientific_journal-2430	139	11	stiffness	stiffness	NOUN
american_scientific_journal-2430	139	12	matrix	matrix	NOUN
american_scientific_journal-2430	139	13	dimensions	dimension	NOUN
american_scientific_journal-2430	139	14	will	will	AUX
american_scientific_journal-2430	139	15	be	be	AUX
american_scientific_journal-2430	139	16	according	accord	VERB
american_scientific_journal-2430	139	17	to	to	ADP
american_scientific_journal-2430	139	18	the	the	DET
american_scientific_journal-2430	139	19	number	number	NOUN
american_scientific_journal-2430	139	20	of	of	ADP
american_scientific_journal-2430	139	21	strips	strip	NOUN
american_scientific_journal-2430	139	22	to	to	PART
american_scientific_journal-2430	139	23	which	which	PRON
american_scientific_journal-2430	139	24	the	the	DET
american_scientific_journal-2430	139	25	plate	plate	NOUN
american_scientific_journal-2430	139	26	was	be	AUX
american_scientific_journal-2430	139	27	divided	divide	VERB
american_scientific_journal-2430	139	28	.	.	PUNCT
american_scientific_journal-2430	140	1	primary	primary	ADJ
american_scientific_journal-2430	140	2	four	four	NUM
american_scientific_journal-2430	140	3	strips	strip	NOUN
american_scientific_journal-2430	140	4	will	will	AUX
american_scientific_journal-2430	140	5	be	be	AUX
american_scientific_journal-2430	140	6	taken	take	VERB
american_scientific_journal-2430	140	7	,	,	PUNCT
american_scientific_journal-2430	140	8	so	so	SCONJ
american_scientific_journal-2430	140	9	dimensions	dimension	NOUN
american_scientific_journal-2430	140	10	of	of	ADP
american_scientific_journal-2430	140	11	the	the	DET
american_scientific_journal-2430	140	12	global	global	ADJ
american_scientific_journal-2430	140	13	stiffness	stiffness	NOUN
american_scientific_journal-2430	140	14	matrix	matrix	NOUN
american_scientific_journal-2430	140	15	will	will	AUX
american_scientific_journal-2430	140	16	become	become	VERB
american_scientific_journal-2430	140	17	80	80	NUM
american_scientific_journal-2430	140	18	x	x	SYM
american_scientific_journal-2430	140	19	80	80	NUM
american_scientific_journal-2430	140	20	.	.	PUNCT
american_scientific_journal-2430	141	1	bstage	bstage	NOUN
american_scientific_journal-2430	141	2	ii	ii	PROPN
american_scientific_journal-2430	141	3	this	this	DET
american_scientific_journal-2430	141	4	stage	stage	NOUN
american_scientific_journal-2430	141	5	involves	involve	VERB
american_scientific_journal-2430	141	6	formulation	formulation	NOUN
american_scientific_journal-2430	141	7	of	of	ADP
american_scientific_journal-2430	141	8	the	the	DET
american_scientific_journal-2430	141	9	load	load	NOUN
american_scientific_journal-2430	141	10	matrices	matrix	NOUN
american_scientific_journal-2430	141	11	by	by	ADP
american_scientific_journal-2430	141	12	the	the	DET
american_scientific_journal-2430	141	13	following	following	ADJ
american_scientific_journal-2430	141	14	steps	step	NOUN
american_scientific_journal-2430	141	15	:	:	PUNCT
american_scientific_journal-2430	141	16	1according	1according	NUM
american_scientific_journal-2430	141	17	to	to	ADP
american_scientific_journal-2430	141	18	the	the	DET
american_scientific_journal-2430	141	19	cases	case	NOUN
american_scientific_journal-2430	141	20	of	of	ADP
american_scientific_journal-2430	141	21	load	load	NOUN
american_scientific_journal-2430	141	22	which	which	PRON
american_scientific_journal-2430	141	23	are	be	AUX
american_scientific_journal-2430	141	24	explained	explain	VERB
american_scientific_journal-2430	141	25	previously	previously	ADV
american_scientific_journal-2430	141	26	,	,	PUNCT
american_scientific_journal-2430	141	27	the	the	DET
american_scientific_journal-2430	141	28	integration	integration	NOUN
american_scientific_journal-2430	141	29	of	of	ADP
american_scientific_journal-2430	141	30	each	each	DET
american_scientific_journal-2430	141	31	local	local	ADJ
american_scientific_journal-2430	141	32	b3	b3	NOUN
american_scientific_journal-2430	141	33	-	-	PUNCT
american_scientific_journal-2430	141	34	spline	spline	NOUN
american_scientific_journal-2430	141	35	function	function	NOUN
american_scientific_journal-2430	141	36	(	(	PUNCT
american_scientific_journal-2430	141	37	hill	hill	NOUN
american_scientific_journal-2430	141	38	)	)	PUNCT
american_scientific_journal-2430	141	39	along	along	ADP
american_scientific_journal-2430	141	40	the	the	DET
american_scientific_journal-2430	141	41	nodal	nodal	NOUN
american_scientific_journal-2430	141	42	line	line	NOUN
american_scientific_journal-2430	141	43	will	will	AUX
american_scientific_journal-2430	141	44	be	be	AUX
american_scientific_journal-2430	141	45	carried	carry	VERB
american_scientific_journal-2430	141	46	out	out	ADP
american_scientific_journal-2430	141	47	,	,	PUNCT
american_scientific_journal-2430	141	48	where	where	SCONJ
american_scientific_journal-2430	141	49	each	each	DET
american_scientific_journal-2430	141	50	nodal	nodal	NOUN
american_scientific_journal-2430	141	51	line	line	NOUN
american_scientific_journal-2430	141	52	contains	contain	VERB
american_scientific_journal-2430	141	53	8	8	NUM
american_scientific_journal-2430	141	54	hills	hill	NOUN
american_scientific_journal-2430	141	55	;	;	PUNCT
american_scientific_journal-2430	141	56	𝜑𝜑−1	𝜑𝜑−1	NOUN
american_scientific_journal-2430	141	57	,	,	PUNCT
american_scientific_journal-2430	141	58	𝜑𝜑0	𝜑𝜑0	PROPN
american_scientific_journal-2430	141	59	,	,	PUNCT
american_scientific_journal-2430	141	60	.	.	PUNCT
american_scientific_journal-2430	141	61	.	.	PUNCT
american_scientific_journal-2430	141	62	.	.	PUNCT
american_scientific_journal-2430	141	63	.	.	PUNCT
american_scientific_journal-2430	142	1	.	.	PUNCT
american_scientific_journal-2430	143	1	.	.	PUNCT
american_scientific_journal-2430	144	1	,	,	PUNCT
american_scientific_journal-2430	144	2	𝜑𝜑6	𝜑𝜑6	VERB
american_scientific_journal-2430	144	3	.this	.this	PRON
american_scientific_journal-2430	144	4	function	function	NOUN
american_scientific_journal-2430	144	5	integration	integration	NOUN
american_scientific_journal-2430	144	6	is	be	AUX
american_scientific_journal-2430	144	7	also	also	ADV
american_scientific_journal-2430	144	8	performed	perform	VERB
american_scientific_journal-2430	144	9	utilizing	utilize	VERB
american_scientific_journal-2430	144	10	the	the	DET
american_scientific_journal-2430	144	11	facilities	facility	NOUN
american_scientific_journal-2430	144	12	of	of	ADP
american_scientific_journal-2430	144	13	matlab	matlab	PROPN
american_scientific_journal-2430	144	14	program	program	NOUN
american_scientific_journal-2430	144	15	.	.	PUNCT
american_scientific_journal-2430	145	1	2the	2the	DET
american_scientific_journal-2430	145	2	b3spline	b3spline	NOUN
american_scientific_journal-2430	145	3	is	be	AUX
american_scientific_journal-2430	145	4	considered	consider	VERB
american_scientific_journal-2430	145	5	to	to	PART
american_scientific_journal-2430	145	6	be	be	AUX
american_scientific_journal-2430	145	7	amended	amend	VERB
american_scientific_journal-2430	145	8	with	with	ADP
american_scientific_journal-2430	145	9	the	the	DET
american_scientific_journal-2430	145	10	aid	aid	NOUN
american_scientific_journal-2430	145	11	of	of	ADP
american_scientific_journal-2430	145	12	table	table	NOUN
american_scientific_journal-2430	145	13	2	2	NUM
american_scientific_journal-2430	145	14	.	.	X
american_scientific_journal-2430	146	1	3combination	3combination	NUM
american_scientific_journal-2430	146	2	of	of	ADP
american_scientific_journal-2430	146	3	all	all	DET
american_scientific_journal-2430	146	4	the	the	DET
american_scientific_journal-2430	146	5	integration	integration	NOUN
american_scientific_journal-2430	146	6	values	value	VERB
american_scientific_journal-2430	146	7	common	common	ADJ
american_scientific_journal-2430	146	8	to	to	ADP
american_scientific_journal-2430	146	9	each	each	DET
american_scientific_journal-2430	146	10	knot	knot	NOUN
american_scientific_journal-2430	146	11	.	.	PUNCT
american_scientific_journal-2430	147	1	4constructing	4constructe	VERB
american_scientific_journal-2430	147	2	the	the	DET
american_scientific_journal-2430	147	3	[	[	X
american_scientific_journal-2430	147	4	10x80	10x80	NUM
american_scientific_journal-2430	147	5	]	]	PUNCT
american_scientific_journal-2430	147	6	load	load	NOUN
american_scientific_journal-2430	147	7	vector	vector	NOUN
american_scientific_journal-2430	147	8	{	{	PUNCT
american_scientific_journal-2430	147	9	f	f	NOUN
american_scientific_journal-2430	147	10	}	}	PUNCT
american_scientific_journal-2430	147	11	,	,	PUNCT
american_scientific_journal-2430	147	12	for	for	ADP
american_scientific_journal-2430	147	13	each	each	PRON
american_scientific_journal-2430	147	14	of	of	ADP
american_scientific_journal-2430	147	15	the	the	DET
american_scientific_journal-2430	147	16	four	four	NUM
american_scientific_journal-2430	147	17	strips	strip	NOUN
american_scientific_journal-2430	147	18	.	.	PUNCT
american_scientific_journal-2430	148	1	5the	5the	DET
american_scientific_journal-2430	148	2	unknown	unknown	ADJ
american_scientific_journal-2430	148	3	displacement	displacement	NOUN
american_scientific_journal-2430	148	4	parameters	parameter	NOUN
american_scientific_journal-2430	148	5	are	be	AUX
american_scientific_journal-2430	148	6	carried	carry	VERB
american_scientific_journal-2430	148	7	out	out	ADP
american_scientific_journal-2430	148	8	by	by	ADP
american_scientific_journal-2430	148	9	solving	solve	VERB
american_scientific_journal-2430	148	10	the	the	DET
american_scientific_journal-2430	148	11	equation	equation	NOUN
american_scientific_journal-2430	148	12	:	:	PUNCT
american_scientific_journal-2430	148	13	{	{	PUNCT
american_scientific_journal-2430	148	14	f	f	X
american_scientific_journal-2430	148	15	}	}	PUNCT
american_scientific_journal-2430	148	16	=	=	PUNCT
american_scientific_journal-2430	149	1	[	[	X
american_scientific_journal-2430	149	2	k	k	X
american_scientific_journal-2430	149	3	]	]	PUNCT
american_scientific_journal-2430	149	4	.	.	PUNCT
american_scientific_journal-2430	150	1	{	{	PUNCT
american_scientific_journal-2430	150	2	𝛿𝛿	𝛿𝛿	NOUN
american_scientific_journal-2430	150	3	}	}	PUNCT
american_scientific_journal-2430	150	4	using	use	VERB
american_scientific_journal-2430	150	5	the	the	DET
american_scientific_journal-2430	150	6	gauss	gauss	ADJ
american_scientific_journal-2430	150	7	elimination	elimination	NOUN
american_scientific_journal-2430	150	8	procedure	procedure	NOUN
american_scientific_journal-2430	150	9	.	.	PUNCT
american_scientific_journal-2430	151	1	american	american	ADJ
american_scientific_journal-2430	151	2	scientific	scientific	ADJ
american_scientific_journal-2430	151	3	research	research	PROPN
american_scientific_journal-2430	151	4	journal	journal	NOUN
american_scientific_journal-2430	151	5	for	for	ADP
american_scientific_journal-2430	151	6	engineering	engineering	NOUN
american_scientific_journal-2430	151	7	,	,	PUNCT
american_scientific_journal-2430	151	8	technology	technology	NOUN
american_scientific_journal-2430	151	9	,	,	PUNCT
american_scientific_journal-2430	151	10	and	and	CCONJ
american_scientific_journal-2430	151	11	sciences	science	NOUN
american_scientific_journal-2430	151	12	(	(	PUNCT
american_scientific_journal-2430	151	13	asrjets	asrjet	NOUN
american_scientific_journal-2430	151	14	)	)	PUNCT
american_scientific_journal-2430	151	15	(	(	PUNCT
american_scientific_journal-2430	151	16	2016	2016	NUM
american_scientific_journal-2430	151	17	)	)	PUNCT
american_scientific_journal-2430	151	18	volume	volume	NOUN
american_scientific_journal-2430	151	19	26	26	NUM
american_scientific_journal-2430	151	20	,	,	PUNCT
american_scientific_journal-2430	151	21	no	no	DET
american_scientific_journal-2430	151	22	4	4	NUM
american_scientific_journal-2430	151	23	,	,	PUNCT
american_scientific_journal-2430	151	24	pp	pp	ADV
american_scientific_journal-2430	151	25	151	151	NUM
american_scientific_journal-2430	151	26	-	-	SYM
american_scientific_journal-2430	151	27	168	168	NUM
american_scientific_journal-2430	151	28	163	163	NUM
american_scientific_journal-2430	151	29	8	8	NUM
american_scientific_journal-2430	151	30	.	.	PUNCT
american_scientific_journal-2430	152	1	application	application	NOUN
american_scientific_journal-2430	152	2	:	:	PUNCT
american_scientific_journal-2430	152	3	full	full	ADJ
american_scientific_journal-2430	152	4	scale	scale	NOUN
american_scientific_journal-2430	152	5	r.c	r.c	PROPN
american_scientific_journal-2430	152	6	.	.	PROPN
american_scientific_journal-2430	152	7	slab	slab	NOUN
american_scientific_journal-2430	152	8	-	-	PUNCT
american_scientific_journal-2430	152	9	beam	beam	NOUN
american_scientific_journal-2430	152	10	ridge	ridge	NOUN
american_scientific_journal-2430	152	11	deck	deck	NOUN
american_scientific_journal-2430	152	12	(	(	PUNCT
american_scientific_journal-2430	152	13	seven	seven	NUM
american_scientific_journal-2430	152	14	ribs	rib	NOUN
american_scientific_journal-2430	152	15	+	+	ADJ
american_scientific_journal-2430	152	16	four	four	NUM
american_scientific_journal-2430	152	17	diaphragms	diaphragm	NOUN
american_scientific_journal-2430	152	18	)	)	PUNCT
american_scientific_journal-2430	152	19	8.1	8.1	NUM
american_scientific_journal-2430	152	20	description	description	NOUN
american_scientific_journal-2430	152	21	this	this	DET
american_scientific_journal-2430	152	22	case	case	NOUN
american_scientific_journal-2430	152	23	is	be	AUX
american_scientific_journal-2430	152	24	represented	represent	VERB
american_scientific_journal-2430	152	25	by	by	ADP
american_scientific_journal-2430	152	26	a	a	DET
american_scientific_journal-2430	152	27	simply	simply	ADV
american_scientific_journal-2430	152	28	supported	support	VERB
american_scientific_journal-2430	152	29	reinforced	reinforce	VERB
american_scientific_journal-2430	152	30	concrete	concrete	ADJ
american_scientific_journal-2430	152	31	slab	slab	NOUN
american_scientific_journal-2430	152	32	-	-	PUNCT
american_scientific_journal-2430	152	33	beam	beam	NOUN
american_scientific_journal-2430	152	34	bridge	bridge	NOUN
american_scientific_journal-2430	152	35	deck	deck	NOUN
american_scientific_journal-2430	152	36	,	,	PUNCT
american_scientific_journal-2430	152	37	with	with	ADP
american_scientific_journal-2430	152	38	seven	seven	NUM
american_scientific_journal-2430	152	39	ribs	rib	NOUN
american_scientific_journal-2430	152	40	and	and	CCONJ
american_scientific_journal-2430	152	41	four	four	NUM
american_scientific_journal-2430	152	42	diaphragms	diaphragm	NOUN
american_scientific_journal-2430	152	43	as	as	SCONJ
american_scientific_journal-2430	152	44	shown	show	VERB
american_scientific_journal-2430	152	45	in	in	ADP
american_scientific_journal-2430	152	46	figure	figure	NOUN
american_scientific_journal-2430	152	47	10	10	NUM
american_scientific_journal-2430	152	48	.	.	PUNCT
american_scientific_journal-2430	153	1	the	the	DET
american_scientific_journal-2430	153	2	bridge	bridge	NOUN
american_scientific_journal-2430	153	3	is	be	AUX
american_scientific_journal-2430	153	4	under	under	ADP
american_scientific_journal-2430	153	5	a	a	DET
american_scientific_journal-2430	153	6	central	central	ADJ
american_scientific_journal-2430	153	7	150	150	NUM
american_scientific_journal-2430	153	8	kn	kn	NOUN
american_scientific_journal-2430	153	9	vertical	vertical	ADJ
american_scientific_journal-2430	153	10	concentrated	concentrated	ADJ
american_scientific_journal-2430	153	11	load	load	NOUN
american_scientific_journal-2430	153	12	.	.	PUNCT
american_scientific_journal-2430	154	1	geometrical	geometrical	ADJ
american_scientific_journal-2430	154	2	features	feature	NOUN
american_scientific_journal-2430	154	3	and	and	CCONJ
american_scientific_journal-2430	154	4	material	material	NOUN
american_scientific_journal-2430	154	5	properties	property	NOUN
american_scientific_journal-2430	154	6	are	be	AUX
american_scientific_journal-2430	154	7	as	as	SCONJ
american_scientific_journal-2430	154	8	follows	follow	VERB
american_scientific_journal-2430	154	9	:	:	PUNCT
american_scientific_journal-2430	154	10	span	span	VERB
american_scientific_journal-2430	154	11	×	×	NOUN
american_scientific_journal-2430	154	12	width	width	NOUN
american_scientific_journal-2430	154	13	=	=	PUNCT
american_scientific_journal-2430	154	14	25000×15000	25000×15000	NUM
american_scientific_journal-2430	154	15	mm	mm	NOUN
american_scientific_journal-2430	154	16	slab	slab	NOUN
american_scientific_journal-2430	154	17	thickness	thickness	NOUN
american_scientific_journal-2430	154	18	=	=	NUM
american_scientific_journal-2430	154	19	200	200	NUM
american_scientific_journal-2430	154	20	mm	mm	NUM
american_scientific_journal-2430	154	21	28day	28day	NOUN
american_scientific_journal-2430	154	22	compressive	compressive	PROPN
american_scientific_journal-2430	154	23	strength	strength	NOUN
american_scientific_journal-2430	154	24	;	;	PUNCT
american_scientific_journal-2430	154	25	fc	fc	X
american_scientific_journal-2430	154	26	'	'	PART
american_scientific_journal-2430	154	27	=	=	SYM
american_scientific_journal-2430	154	28	30	30	NUM
american_scientific_journal-2430	154	29	n	n	CCONJ
american_scientific_journal-2430	154	30	/	/	SYM
american_scientific_journal-2430	154	31	mm2	mm2	NOUN
american_scientific_journal-2430	154	32	modulus	modulus	NOUN
american_scientific_journal-2430	154	33	of	of	ADP
american_scientific_journal-2430	154	34	elasticity	elasticity	NOUN
american_scientific_journal-2430	154	35	=	=	SYM
american_scientific_journal-2430	154	36	28	28	NUM
american_scientific_journal-2430	154	37	kn	kn	PROPN
american_scientific_journal-2430	154	38	/	/	SYM
american_scientific_journal-2430	154	39	mm2	mm2	PROPN
american_scientific_journal-2430	154	40	poisson	poisson	PROPN
american_scientific_journal-2430	154	41	's	's	PART
american_scientific_journal-2430	154	42	ratio	ratio	NOUN
american_scientific_journal-2430	154	43	=	=	PUNCT
american_scientific_journal-2430	154	44	0.15	0.15	NUM
american_scientific_journal-2430	154	45	these	these	DET
american_scientific_journal-2430	154	46	values	value	NOUN
american_scientific_journal-2430	154	47	are	be	AUX
american_scientific_journal-2430	154	48	in	in	ADP
american_scientific_journal-2430	154	49	compliance	compliance	NOUN
american_scientific_journal-2430	154	50	with	with	ADP
american_scientific_journal-2430	154	51	bs	bs	PROPN
american_scientific_journal-2430	154	52	5400	5400	NUM
american_scientific_journal-2430	154	53	figure	figure	NOUN
american_scientific_journal-2430	154	54	10	10	NUM
american_scientific_journal-2430	154	55	:	:	PUNCT
american_scientific_journal-2430	154	56	reinforced	reinforce	VERB
american_scientific_journal-2430	154	57	concrete	concrete	ADJ
american_scientific_journal-2430	154	58	slab	slab	NOUN
american_scientific_journal-2430	154	59	-	-	PUNCT
american_scientific_journal-2430	154	60	beam	beam	NOUN
american_scientific_journal-2430	154	61	bridge	bridge	NOUN
american_scientific_journal-2430	154	62	deck	deck	NOUN
american_scientific_journal-2430	154	63	with	with	ADP
american_scientific_journal-2430	154	64	seven	seven	NUM
american_scientific_journal-2430	154	65	ribs	rib	NOUN
american_scientific_journal-2430	154	66	and	and	CCONJ
american_scientific_journal-2430	154	67	four	four	NUM
american_scientific_journal-2430	154	68	diaphragm	diaphragm	NOUN
american_scientific_journal-2430	154	69	.	.	PUNCT
american_scientific_journal-2430	155	1	8.2	8.2	NUM
american_scientific_journal-2430	155	2	analysis	analysis	NOUN
american_scientific_journal-2430	155	3	methods	method	NOUN
american_scientific_journal-2430	155	4	rigidities	rigidity	NOUN
american_scientific_journal-2430	155	5	of	of	ADP
american_scientific_journal-2430	155	6	the	the	DET
american_scientific_journal-2430	155	7	substitute	substitute	ADJ
american_scientific_journal-2430	155	8	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	155	9	plate	plate	NOUN
american_scientific_journal-2430	155	10	have	have	AUX
american_scientific_journal-2430	155	11	been	be	AUX
american_scientific_journal-2430	155	12	computed	compute	VERB
american_scientific_journal-2430	155	13	as	as	ADP
american_scientific_journal-2430	155	14	previously	previously	ADV
american_scientific_journal-2430	155	15	instructed	instruct	VERB
american_scientific_journal-2430	155	16	in	in	ADP
american_scientific_journal-2430	155	17	this	this	DET
american_scientific_journal-2430	155	18	paper	paper	NOUN
american_scientific_journal-2430	155	19	,	,	PUNCT
american_scientific_journal-2430	155	20	they	they	PRON
american_scientific_journal-2430	155	21	are	be	AUX
american_scientific_journal-2430	155	22	given	give	VERB
american_scientific_journal-2430	155	23	in	in	ADP
american_scientific_journal-2430	155	24	table	table	NOUN
american_scientific_journal-2430	155	25	3	3	NUM
american_scientific_journal-2430	155	26	below	below	ADV
american_scientific_journal-2430	155	27	.	.	PUNCT
american_scientific_journal-2430	156	1	american	american	ADJ
american_scientific_journal-2430	156	2	scientific	scientific	ADJ
american_scientific_journal-2430	156	3	research	research	PROPN
american_scientific_journal-2430	156	4	journal	journal	NOUN
american_scientific_journal-2430	156	5	for	for	ADP
american_scientific_journal-2430	156	6	engineering	engineering	NOUN
american_scientific_journal-2430	156	7	,	,	PUNCT
american_scientific_journal-2430	156	8	technology	technology	NOUN
american_scientific_journal-2430	156	9	,	,	PUNCT
american_scientific_journal-2430	156	10	and	and	CCONJ
american_scientific_journal-2430	156	11	sciences	science	NOUN
american_scientific_journal-2430	156	12	(	(	PUNCT
american_scientific_journal-2430	156	13	asrjets	asrjet	NOUN
american_scientific_journal-2430	156	14	)	)	PUNCT
american_scientific_journal-2430	156	15	(	(	PUNCT
american_scientific_journal-2430	156	16	2016	2016	NUM
american_scientific_journal-2430	156	17	)	)	PUNCT
american_scientific_journal-2430	156	18	volume	volume	NOUN
american_scientific_journal-2430	156	19	26	26	NUM
american_scientific_journal-2430	156	20	,	,	PUNCT
american_scientific_journal-2430	156	21	no	no	DET
american_scientific_journal-2430	156	22	4	4	NUM
american_scientific_journal-2430	156	23	,	,	PUNCT
american_scientific_journal-2430	156	24	pp	pp	ADV
american_scientific_journal-2430	156	25	151	151	NUM
american_scientific_journal-2430	156	26	-	-	SYM
american_scientific_journal-2430	156	27	168	168	NUM
american_scientific_journal-2430	156	28	164	164	NUM
american_scientific_journal-2430	156	29	table	table	NOUN
american_scientific_journal-2430	156	30	3	3	NUM
american_scientific_journal-2430	156	31	:	:	PUNCT
american_scientific_journal-2430	156	32	rigidities	rigidity	NOUN
american_scientific_journal-2430	156	33	of	of	ADP
american_scientific_journal-2430	156	34	the	the	DET
american_scientific_journal-2430	156	35	slab	slab	NOUN
american_scientific_journal-2430	156	36	-	-	PUNCT
american_scientific_journal-2430	156	37	beam	beam	NOUN
american_scientific_journal-2430	156	38	bridge	bridge	NOUN
american_scientific_journal-2430	156	39	deck	deck	NOUN
american_scientific_journal-2430	156	40	of	of	ADP
american_scientific_journal-2430	156	41	seven	seven	NUM
american_scientific_journal-2430	156	42	ribs	rib	NOUN
american_scientific_journal-2430	156	43	and	and	CCONJ
american_scientific_journal-2430	156	44	four	four	NUM
american_scientific_journal-2430	156	45	diaphragms	diaphragm	NOUN
american_scientific_journal-2430	156	46	.	.	PUNCT
american_scientific_journal-2430	157	1	flexural	flexural	ADJ
american_scientific_journal-2430	157	2	rigidities	rigidity	NOUN
american_scientific_journal-2430	157	3	dx	dx	PROPN
american_scientific_journal-2430	157	4	1079239551	1079239551	NUM
american_scientific_journal-2430	157	5	kn.mm	kn.mm	PROPN
american_scientific_journal-2430	157	6	dy	dy	NOUN
american_scientific_journal-2430	157	7	201570929	201570929	NUM
american_scientific_journal-2430	157	8	kn.mm	kn.mm	PROPN
american_scientific_journal-2430	157	9	torsional	torsional	ADJ
american_scientific_journal-2430	157	10	rigidity	rigidity	NOUN
american_scientific_journal-2430	157	11	dxy	dxy	PROPN
american_scientific_journal-2430	157	12	299573891	299573891	NUM
american_scientific_journal-2430	157	13	kn.mm	kn.mm	PROPN
american_scientific_journal-2430	157	14	coupling	coupling	NOUN
american_scientific_journal-2430	157	15	rigidity	rigidity	NOUN
american_scientific_journal-2430	157	16	d1	d1	PROPN
american_scientific_journal-2430	157	17	11287972	11287972	NUM
american_scientific_journal-2430	157	18	kn.mm	kn.mm	PROPN
american_scientific_journal-2430	157	19	according	accord	VERB
american_scientific_journal-2430	157	20	to	to	ADP
american_scientific_journal-2430	157	21	the	the	DET
american_scientific_journal-2430	157	22	new	new	ADJ
american_scientific_journal-2430	157	23	technique	technique	NOUN
american_scientific_journal-2430	157	24	explained	explain	VERB
american_scientific_journal-2430	157	25	in	in	ADP
american_scientific_journal-2430	157	26	the	the	DET
american_scientific_journal-2430	157	27	elapsing	elapse	VERB
american_scientific_journal-2430	157	28	section	section	NOUN
american_scientific_journal-2430	157	29	,	,	PUNCT
american_scientific_journal-2430	157	30	the	the	DET
american_scientific_journal-2430	157	31	equivalent	equivalent	ADJ
american_scientific_journal-2430	157	32	elastic	elastic	ADJ
american_scientific_journal-2430	157	33	properties	property	NOUN
american_scientific_journal-2430	157	34	of	of	ADP
american_scientific_journal-2430	157	35	the	the	DET
american_scientific_journal-2430	157	36	substitute	substitute	ADJ
american_scientific_journal-2430	157	37	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	157	38	plate	plate	NOUN
american_scientific_journal-2430	157	39	are	be	AUX
american_scientific_journal-2430	157	40	:	:	PUNCT
american_scientific_journal-2430	157	41	teq	teq	PROPN
american_scientific_journal-2430	157	42	=	=	PROPN
american_scientific_journal-2430	157	43	478	478	NUM
american_scientific_journal-2430	157	44	mm	mm	NOUN
american_scientific_journal-2430	157	45	,	,	PUNCT
american_scientific_journal-2430	157	46	𝐸𝐸𝑥𝑥	𝐸𝐸𝑥𝑥	VERB
american_scientific_journal-2430	157	47	=	=	PUNCT
american_scientific_journal-2430	157	48	74.96	74.96	NUM
american_scientific_journal-2430	157	49	kn.mm	kn.mm	NOUN
american_scientific_journal-2430	157	50	,	,	PUNCT
american_scientific_journal-2430	157	51	𝑣𝑣𝑥𝑥	𝑣𝑣𝑥𝑥	NOUN
american_scientific_journal-2430	157	52	=	=	SYM
american_scientific_journal-2430	157	53	0.4	0.4	NUM
american_scientific_journal-2430	157	54	and	and	CCONJ
american_scientific_journal-2430	157	55	considering	consider	VERB
american_scientific_journal-2430	157	56	that	that	SCONJ
american_scientific_journal-2430	157	57	d1=	d1=	PROPN
american_scientific_journal-2430	157	58	𝑣𝑣	𝑣𝑣	PRON
american_scientific_journal-2430	157	59	×	×	PROPN
american_scientific_journal-2430	157	60	(	(	PUNCT
american_scientific_journal-2430	157	61	the	the	DET
american_scientific_journal-2430	157	62	smallest	small	ADJ
american_scientific_journal-2430	157	63	value	value	NOUN
american_scientific_journal-2430	157	64	of	of	ADP
american_scientific_journal-2430	157	65	𝐷𝐷𝑥𝑥	𝐷𝐷𝑥𝑥	PROPN
american_scientific_journal-2430	157	66	or	or	CCONJ
american_scientific_journal-2430	157	67	𝐷𝐷𝑦𝑦	𝐷𝐷𝑦𝑦	PROPN
american_scientific_journal-2430	157	68	)	)	PUNCT
american_scientific_journal-2430	157	69	.	.	PUNCT
american_scientific_journal-2430	158	1	this	this	DET
american_scientific_journal-2430	158	2	ribbed	rib	VERB
american_scientific_journal-2430	158	3	bridge	bridge	NOUN
american_scientific_journal-2430	158	4	deck	deck	NOUN
american_scientific_journal-2430	158	5	was	be	AUX
american_scientific_journal-2430	158	6	previously	previously	ADV
american_scientific_journal-2430	158	7	analyzed	analyze	VERB
american_scientific_journal-2430	158	8	by	by	ADP
american_scientific_journal-2430	158	9	mehdi	mehdi	PROPN
american_scientific_journal-2430	158	10	[	[	X
american_scientific_journal-2430	158	11	11	11	NUM
american_scientific_journal-2430	158	12	]	]	PUNCT
american_scientific_journal-2430	158	13	using	use	VERB
american_scientific_journal-2430	158	14	the	the	DET
american_scientific_journal-2430	158	15	grillage	grillage	NOUN
american_scientific_journal-2430	158	16	analogy	analogy	NOUN
american_scientific_journal-2430	158	17	.	.	PUNCT
american_scientific_journal-2430	159	1	8.3	8.3	NUM
american_scientific_journal-2430	159	2	analysis	analysis	NOUN
american_scientific_journal-2430	159	3	results	result	VERB
american_scientific_journal-2430	159	4	values	value	NOUN
american_scientific_journal-2430	159	5	of	of	ADP
american_scientific_journal-2430	159	6	deflection	deflection	NOUN
american_scientific_journal-2430	159	7	computed	compute	VERB
american_scientific_journal-2430	159	8	by	by	ADP
american_scientific_journal-2430	159	9	three	three	NUM
american_scientific_journal-2430	159	10	methods	method	NOUN
american_scientific_journal-2430	159	11	of	of	ADP
american_scientific_journal-2430	159	12	analysis	analysis	NOUN
american_scientific_journal-2430	159	13	are	be	AUX
american_scientific_journal-2430	159	14	given	give	VERB
american_scientific_journal-2430	159	15	in	in	ADP
american_scientific_journal-2430	159	16	tables	table	NOUN
american_scientific_journal-2430	159	17	4	4	NUM
american_scientific_journal-2430	159	18	and	and	CCONJ
american_scientific_journal-2430	159	19	5	5	NUM
american_scientific_journal-2430	159	20	,	,	PUNCT
american_scientific_journal-2430	159	21	then	then	ADV
american_scientific_journal-2430	159	22	shown	show	VERB
american_scientific_journal-2430	159	23	in	in	ADP
american_scientific_journal-2430	159	24	figure11	figure11	ADJ
american_scientific_journal-2430	159	25	below	below	ADV
american_scientific_journal-2430	159	26	.	.	PUNCT
american_scientific_journal-2430	160	1	table	table	NOUN
american_scientific_journal-2430	160	2	4	4	NUM
american_scientific_journal-2430	160	3	:	:	PUNCT
american_scientific_journal-2430	161	1	deflection	deflection	NOUN
american_scientific_journal-2430	161	2	values	value	NOUN
american_scientific_journal-2430	161	3	(	(	PUNCT
american_scientific_journal-2430	161	4	in	in	ADP
american_scientific_journal-2430	161	5	mm	mm	PROPN
american_scientific_journal-2430	161	6	)	)	PUNCT
american_scientific_journal-2430	161	7	of	of	ADP
american_scientific_journal-2430	161	8	r.c	r.c	PROPN
american_scientific_journal-2430	161	9	ribbed	ribbed	PROPN
american_scientific_journal-2430	161	10	bridge	bridge	PROPN
american_scientific_journal-2430	161	11	deck	deck	NOUN
american_scientific_journal-2430	161	12	x	x	NOUN
american_scientific_journal-2430	161	13	-	-	PUNCT
american_scientific_journal-2430	161	14	coordinate(mm	coordinate(mm	VERB
american_scientific_journal-2430	161	15	)	)	PUNCT
american_scientific_journal-2430	161	16	-12500	-12500	PROPN
american_scientific_journal-2430	162	1	-7500	-7500	PROPN
american_scientific_journal-2430	163	1	-2500	-2500	NOUN
american_scientific_journal-2430	163	2	0	0	NUM
american_scientific_journal-2430	163	3	2500	2500	NUM
american_scientific_journal-2430	163	4	7500	7500	NUM
american_scientific_journal-2430	163	5	12500	12500	NUM
american_scientific_journal-2430	163	6	sfsm(present	sfsm(present	NOUN
american_scientific_journal-2430	163	7	study	study	NOUN
american_scientific_journal-2430	163	8	)	)	PUNCT
american_scientific_journal-2430	164	1	no	no	INTJ
american_scientific_journal-2430	164	2	.	.	PUNCT
american_scientific_journal-2430	165	1	of	of	ADP
american_scientific_journal-2430	165	2	strip=4	strip=4	ADV
american_scientific_journal-2430	165	3	no	no	INTJ
american_scientific_journal-2430	165	4	.	.	PUNCT
american_scientific_journal-2430	166	1	of	of	ADP
american_scientific_journal-2430	166	2	section=5	section=5	INTJ
american_scientific_journal-2430	166	3	0	0	NUM
american_scientific_journal-2430	166	4	1.85	1.85	NUM
american_scientific_journal-2430	166	5	2.96	2.96	NUM
american_scientific_journal-2430	166	6	3.10	3.10	NUM
american_scientific_journal-2430	166	7	2.95	2.95	NUM
american_scientific_journal-2430	166	8	1.85	1.85	NUM
american_scientific_journal-2430	166	9	0	0	NUM
american_scientific_journal-2430	166	10	fem	fem	NOUN
american_scientific_journal-2430	166	11	(	(	PUNCT
american_scientific_journal-2430	166	12	sap2000	sap2000	PROPN
american_scientific_journal-2430	166	13	)	)	PUNCT
american_scientific_journal-2430	166	14	(	(	PUNCT
american_scientific_journal-2430	166	15	15x25	15x25	NUM
american_scientific_journal-2430	166	16	meshes	mesh	NOUN
american_scientific_journal-2430	166	17	)	)	PUNCT
american_scientific_journal-2430	166	18	0	0	NUM
american_scientific_journal-2430	166	19	1.73	1.73	NUM
american_scientific_journal-2430	166	20	2.95	2.95	NUM
american_scientific_journal-2430	166	21	3.15	3.15	NUM
american_scientific_journal-2430	166	22	2.95	2.95	NUM
american_scientific_journal-2430	166	23	1.73	1.73	NUM
american_scientific_journal-2430	166	24	0	0	NUM
american_scientific_journal-2430	166	25	grillage	grillage	NOUN
american_scientific_journal-2430	166	26	analysis	analysis	NOUN
american_scientific_journal-2430	166	27	mehdi	mehdi	NOUN
american_scientific_journal-2430	167	1	[	[	X
american_scientific_journal-2430	167	2	11	11	NUM
american_scientific_journal-2430	167	3	]	]	SYM
american_scientific_journal-2430	167	4	3.21	3.21	NUM
american_scientific_journal-2430	167	5	american	american	PROPN
american_scientific_journal-2430	167	6	scientific	scientific	ADJ
american_scientific_journal-2430	167	7	research	research	NOUN
american_scientific_journal-2430	167	8	journal	journal	NOUN
american_scientific_journal-2430	167	9	for	for	ADP
american_scientific_journal-2430	167	10	engineering	engineering	NOUN
american_scientific_journal-2430	167	11	,	,	PUNCT
american_scientific_journal-2430	167	12	technology	technology	NOUN
american_scientific_journal-2430	167	13	,	,	PUNCT
american_scientific_journal-2430	167	14	and	and	CCONJ
american_scientific_journal-2430	167	15	sciences	science	NOUN
american_scientific_journal-2430	167	16	(	(	PUNCT
american_scientific_journal-2430	167	17	asrjets	asrjet	NOUN
american_scientific_journal-2430	167	18	)	)	PUNCT
american_scientific_journal-2430	167	19	(	(	PUNCT
american_scientific_journal-2430	167	20	2016	2016	NUM
american_scientific_journal-2430	167	21	)	)	PUNCT
american_scientific_journal-2430	167	22	volume	volume	NOUN
american_scientific_journal-2430	167	23	26	26	NUM
american_scientific_journal-2430	167	24	,	,	PUNCT
american_scientific_journal-2430	167	25	no	no	DET
american_scientific_journal-2430	167	26	4	4	NUM
american_scientific_journal-2430	167	27	,	,	PUNCT
american_scientific_journal-2430	167	28	pp	pp	ADV
american_scientific_journal-2430	167	29	151	151	NUM
american_scientific_journal-2430	167	30	-	-	SYM
american_scientific_journal-2430	167	31	168	168	NUM
american_scientific_journal-2430	167	32	165	165	NUM
american_scientific_journal-2430	167	33	table	table	NOUN
american_scientific_journal-2430	167	34	5	5	NUM
american_scientific_journal-2430	167	35	:	:	PUNCT
american_scientific_journal-2430	167	36	comparison	comparison	NOUN
american_scientific_journal-2430	167	37	of	of	ADP
american_scientific_journal-2430	167	38	maximum	maximum	ADJ
american_scientific_journal-2430	167	39	moments	moment	NOUN
american_scientific_journal-2430	167	40	mx	mx	PROPN
american_scientific_journal-2430	167	41	and	and	CCONJ
american_scientific_journal-2430	167	42	my	my	PRON
american_scientific_journal-2430	167	43	(	(	PUNCT
american_scientific_journal-2430	167	44	in	in	ADP
american_scientific_journal-2430	167	45	kn.mm/mm	kn.mm/mm	PROPN
american_scientific_journal-2430	167	46	)	)	PUNCT
american_scientific_journal-2430	167	47	of	of	ADP
american_scientific_journal-2430	167	48	the	the	DET
american_scientific_journal-2430	167	49	r.c	r.c	PROPN
american_scientific_journal-2430	167	50	bridge	bridge	PROPN
american_scientific_journal-2430	167	51	deck	deck	NOUN
american_scientific_journal-2430	167	52	.	.	PUNCT
american_scientific_journal-2430	168	1	method	method	NOUN
american_scientific_journal-2430	168	2	of	of	ADP
american_scientific_journal-2430	168	3	analysis	analysis	NOUN
american_scientific_journal-2430	168	4	mx	mx	PROPN
american_scientific_journal-2430	168	5	(	(	PUNCT
american_scientific_journal-2430	168	6	kn.mm/mm	kn.mm/mm	PROPN
american_scientific_journal-2430	168	7	)	)	PUNCT
american_scientific_journal-2430	168	8	my	my	PRON
american_scientific_journal-2430	168	9	(	(	PUNCT
american_scientific_journal-2430	168	10	kn.mm/mm	kn.mm/mm	PROPN
american_scientific_journal-2430	168	11	)	)	PUNCT
american_scientific_journal-2430	168	12	present	present	VERB
american_scientific_journal-2430	168	13	sfsm	sfsm	PRON
american_scientific_journal-2430	168	14	41.17	41.17	NUM
american_scientific_journal-2430	168	15	21.25	21.25	NUM
american_scientific_journal-2430	168	16	fem	fem	NOUN
american_scientific_journal-2430	168	17	(	(	PUNCT
american_scientific_journal-2430	168	18	sap2000	sap2000	PROPN
american_scientific_journal-2430	168	19	)	)	PUNCT
american_scientific_journal-2430	168	20	(	(	PUNCT
american_scientific_journal-2430	168	21	15x25	15x25	NUM
american_scientific_journal-2430	168	22	meshes	mesh	NOUN
american_scientific_journal-2430	168	23	)	)	PUNCT
american_scientific_journal-2430	168	24	47.37	47.37	NUM
american_scientific_journal-2430	168	25	20.36	20.36	NUM
american_scientific_journal-2430	168	26	figure	figure	NOUN
american_scientific_journal-2430	168	27	11	11	NUM
american_scientific_journal-2430	168	28	:	:	PUNCT
american_scientific_journal-2430	168	29	variation	variation	NOUN
american_scientific_journal-2430	168	30	of	of	ADP
american_scientific_journal-2430	168	31	deflection	deflection	NOUN
american_scientific_journal-2430	168	32	along	along	ADP
american_scientific_journal-2430	168	33	x	x	NOUN
american_scientific_journal-2430	168	34	-	-	NOUN
american_scientific_journal-2430	168	35	centerline	centerline	NOUN
american_scientific_journal-2430	168	36	of	of	ADP
american_scientific_journal-2430	168	37	the	the	DET
american_scientific_journal-2430	168	38	r.c	r.c	PROPN
american_scientific_journal-2430	168	39	.	.	PROPN
american_scientific_journal-2430	168	40	ribbed	ribbed	PROPN
american_scientific_journal-2430	168	41	bridge	bridge	PROPN
american_scientific_journal-2430	168	42	deck	deck	NOUN
american_scientific_journal-2430	168	43	.	.	PUNCT
american_scientific_journal-2430	169	1	8.4	8.4	NUM
american_scientific_journal-2430	169	2	discussion	discussion	NOUN
american_scientific_journal-2430	169	3	of	of	ADP
american_scientific_journal-2430	169	4	analysis	analysis	NOUN
american_scientific_journal-2430	169	5	results	result	VERB
american_scientific_journal-2430	169	6	a	a	DET
american_scientific_journal-2430	169	7	)	)	PUNCT
american_scientific_journal-2430	169	8	agreement	agreement	NOUN
american_scientific_journal-2430	169	9	of	of	ADP
american_scientific_journal-2430	169	10	deflection	deflection	NOUN
american_scientific_journal-2430	169	11	results	result	NOUN
american_scientific_journal-2430	169	12	i	i	NOUN
american_scientific_journal-2430	169	13	)	)	PUNCT
american_scientific_journal-2430	169	14	inspection	inspection	NOUN
american_scientific_journal-2430	169	15	of	of	ADP
american_scientific_journal-2430	169	16	table	table	NOUN
american_scientific_journal-2430	169	17	4	4	NUM
american_scientific_journal-2430	169	18	which	which	PRON
american_scientific_journal-2430	169	19	gives	give	VERB
american_scientific_journal-2430	169	20	deflection	deflection	NOUN
american_scientific_journal-2430	169	21	values	value	NOUN
american_scientific_journal-2430	169	22	by	by	ADP
american_scientific_journal-2430	169	23	the	the	DET
american_scientific_journal-2430	169	24	three	three	NUM
american_scientific_journal-2430	169	25	methods	method	NOUN
american_scientific_journal-2430	169	26	of	of	ADP
american_scientific_journal-2430	169	27	analysis	analysis	NOUN
american_scientific_journal-2430	169	28	,	,	PUNCT
american_scientific_journal-2430	169	29	high	high	ADJ
american_scientific_journal-2430	169	30	agreements	agreement	NOUN
american_scientific_journal-2430	169	31	between	between	ADP
american_scientific_journal-2430	169	32	values	value	NOUN
american_scientific_journal-2430	169	33	obtained	obtain	VERB
american_scientific_journal-2430	169	34	by	by	ADP
american_scientific_journal-2430	169	35	the	the	DET
american_scientific_journal-2430	169	36	present	present	ADJ
american_scientific_journal-2430	169	37	sfsm	sfsm	NOUN
american_scientific_journal-2430	169	38	(	(	PUNCT
american_scientific_journal-2430	169	39	in	in	ADP
american_scientific_journal-2430	169	40	its	its	PRON
american_scientific_journal-2430	169	41	least	least	ADJ
american_scientific_journal-2430	169	42	number	number	NOUN
american_scientific_journal-2430	169	43	of	of	ADP
american_scientific_journal-2430	169	44	strips	strip	NOUN
american_scientific_journal-2430	169	45	and	and	CCONJ
american_scientific_journal-2430	169	46	sections	section	NOUN
american_scientific_journal-2430	169	47	)	)	PUNCT
american_scientific_journal-2430	169	48	and	and	CCONJ
american_scientific_journal-2430	169	49	those	those	PRON
american_scientific_journal-2430	169	50	obtained	obtain	VERB
american_scientific_journal-2430	169	51	by	by	ADP
american_scientific_journal-2430	169	52	the	the	DET
american_scientific_journal-2430	169	53	other	other	ADJ
american_scientific_journal-2430	169	54	methods	method	NOUN
american_scientific_journal-2430	169	55	-especially	-especially	ADV
american_scientific_journal-2430	169	56	the	the	DET
american_scientific_journal-2430	169	57	finite	finite	PROPN
american_scientific_journal-2430	169	58	element	element	NOUN
american_scientific_journal-2430	169	59	method	method	NOUN
american_scientific_journal-2430	169	60	fem	fem	NOUN
american_scientific_journal-2430	169	61	implemented	implement	VERB
american_scientific_journal-2430	169	62	by	by	ADP
american_scientific_journal-2430	169	63	sap2000	sap2000	PROPN
american_scientific_journal-2430	169	64	rather	rather	ADV
american_scientific_journal-2430	169	65	fine	fine	ADJ
american_scientific_journal-2430	169	66	mesh	mesh	NOUN
american_scientific_journal-2430	169	67	.	.	PUNCT
american_scientific_journal-2430	170	1	ii	ii	PROPN
american_scientific_journal-2430	170	2	)	)	PUNCT
american_scientific_journal-2430	170	3	the	the	DET
american_scientific_journal-2430	170	4	percentage	percentage	NOUN
american_scientific_journal-2430	170	5	differences	difference	NOUN
american_scientific_journal-2430	170	6	of	of	ADP
american_scientific_journal-2430	170	7	the	the	DET
american_scientific_journal-2430	170	8	maximum	maximum	ADJ
american_scientific_journal-2430	170	9	deflection	deflection	NOUN
american_scientific_journal-2430	170	10	value	value	NOUN
american_scientific_journal-2430	170	11	,	,	PUNCT
american_scientific_journal-2430	170	12	as	as	SCONJ
american_scientific_journal-2430	170	13	shown	show	VERB
american_scientific_journal-2430	170	14	in	in	ADP
american_scientific_journal-2430	170	15	the	the	DET
american_scientific_journal-2430	170	16	bar	bar	NOUN
american_scientific_journal-2430	170	17	chart	chart	NOUN
american_scientific_journal-2430	170	18	of	of	ADP
american_scientific_journal-2430	170	19	figure	figure	NOUN
american_scientific_journal-2430	170	20	12	12	NUM
american_scientific_journal-2430	170	21	is	be	AUX
american_scientific_journal-2430	170	22	1.6	1.6	NUM
american_scientific_journal-2430	170	23	%	%	NOUN
american_scientific_journal-2430	170	24	.	.	PUNCT
american_scientific_journal-2430	171	1	iii	iii	X
american_scientific_journal-2430	171	2	)	)	PUNCT
american_scientific_journal-2430	171	3	observing	observe	VERB
american_scientific_journal-2430	171	4	figure	figure	NOUN
american_scientific_journal-2430	171	5	11	11	NUM
american_scientific_journal-2430	171	6	which	which	PRON
american_scientific_journal-2430	171	7	concerns	concern	VERB
american_scientific_journal-2430	171	8	spanwise	spanwise	ADJ
american_scientific_journal-2430	171	9	variations	variation	NOUN
american_scientific_journal-2430	171	10	of	of	ADP
american_scientific_journal-2430	171	11	deflection	deflection	NOUN
american_scientific_journal-2430	171	12	along	along	ADP
american_scientific_journal-2430	171	13	centerlines	centerline	NOUN
american_scientific_journal-2430	171	14	of	of	ADP
american_scientific_journal-2430	171	15	the	the	DET
american_scientific_journal-2430	171	16	bridge	bridge	NOUN
american_scientific_journal-2430	171	17	deck	deck	NOUN
american_scientific_journal-2430	171	18	,	,	PUNCT
american_scientific_journal-2430	171	19	quite	quite	ADV
american_scientific_journal-2430	171	20	close	close	ADJ
american_scientific_journal-2430	171	21	variation	variation	NOUN
american_scientific_journal-2430	171	22	curves	curve	NOUN
american_scientific_journal-2430	171	23	are	be	AUX
american_scientific_journal-2430	171	24	produced	produce	VERB
american_scientific_journal-2430	171	25	which	which	PRON
american_scientific_journal-2430	171	26	definitely	definitely	ADV
american_scientific_journal-2430	171	27	indicate	indicate	VERB
american_scientific_journal-2430	171	28	the	the	DET
american_scientific_journal-2430	171	29	high	high	ADJ
american_scientific_journal-2430	171	30	accuracy	accuracy	NOUN
american_scientific_journal-2430	171	31	and	and	CCONJ
american_scientific_journal-2430	171	32	efficiency	efficiency	NOUN
american_scientific_journal-2430	171	33	of	of	ADP
american_scientific_journal-2430	171	34	the	the	DET
american_scientific_journal-2430	171	35	present	present	ADJ
american_scientific_journal-2430	171	36	sfsm	sfsm	ADJ
american_scientific_journal-2430	171	37	treatment	treatment	NOUN
american_scientific_journal-2430	171	38	of	of	ADP
american_scientific_journal-2430	171	39	ribbed	rib	VERB
american_scientific_journal-2430	171	40	bridge	bridge	NOUN
american_scientific_journal-2430	171	41	decks	deck	NOUN
american_scientific_journal-2430	171	42	by	by	ADP
american_scientific_journal-2430	171	43	the	the	DET
american_scientific_journal-2430	171	44	equivalent	equivalent	ADJ
american_scientific_journal-2430	171	45	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	171	46	plate	plate	NOUN
american_scientific_journal-2430	171	47	american	american	ADJ
american_scientific_journal-2430	171	48	scientific	scientific	ADJ
american_scientific_journal-2430	171	49	research	research	NOUN
american_scientific_journal-2430	171	50	journal	journal	NOUN
american_scientific_journal-2430	171	51	for	for	ADP
american_scientific_journal-2430	171	52	engineering	engineering	NOUN
american_scientific_journal-2430	171	53	,	,	PUNCT
american_scientific_journal-2430	171	54	technology	technology	NOUN
american_scientific_journal-2430	171	55	,	,	PUNCT
american_scientific_journal-2430	171	56	and	and	CCONJ
american_scientific_journal-2430	171	57	sciences	science	NOUN
american_scientific_journal-2430	171	58	(	(	PUNCT
american_scientific_journal-2430	171	59	asrjets	asrjet	NOUN
american_scientific_journal-2430	171	60	)	)	PUNCT
american_scientific_journal-2430	171	61	(	(	PUNCT
american_scientific_journal-2430	171	62	2016	2016	NUM
american_scientific_journal-2430	171	63	)	)	PUNCT
american_scientific_journal-2430	171	64	volume	volume	NOUN
american_scientific_journal-2430	171	65	26	26	NUM
american_scientific_journal-2430	171	66	,	,	PUNCT
american_scientific_journal-2430	171	67	no	no	DET
american_scientific_journal-2430	171	68	4	4	NUM
american_scientific_journal-2430	171	69	,	,	PUNCT
american_scientific_journal-2430	171	70	pp	pp	ADV
american_scientific_journal-2430	171	71	151	151	NUM
american_scientific_journal-2430	171	72	-	-	SYM
american_scientific_journal-2430	171	73	168	168	NUM
american_scientific_journal-2430	171	74	166	166	NUM
american_scientific_journal-2430	171	75	replacement	replacement	NOUN
american_scientific_journal-2430	171	76	.	.	PUNCT
american_scientific_journal-2430	172	1	b	b	X
american_scientific_journal-2430	172	2	)	)	PUNCT
american_scientific_journal-2430	172	3	agreement	agreement	NOUN
american_scientific_journal-2430	172	4	of	of	ADP
american_scientific_journal-2430	172	5	bending	bend	VERB
american_scientific_journal-2430	172	6	moment	moment	NOUN
american_scientific_journal-2430	172	7	results	result	VERB
american_scientific_journal-2430	172	8	i	i	PRON
american_scientific_journal-2430	172	9	)	)	PUNCT
american_scientific_journal-2430	172	10	referring	refer	VERB
american_scientific_journal-2430	172	11	to	to	ADP
american_scientific_journal-2430	172	12	table	table	NOUN
american_scientific_journal-2430	172	13	5	5	NUM
american_scientific_journal-2430	172	14	specialized	specialized	ADJ
american_scientific_journal-2430	172	15	in	in	ADP
american_scientific_journal-2430	172	16	comparative	comparative	ADJ
american_scientific_journal-2430	172	17	bending	bending	NOUN
american_scientific_journal-2430	172	18	moment	moment	NOUN
american_scientific_journal-2430	172	19	values	value	NOUN
american_scientific_journal-2430	172	20	computed	compute	VERB
american_scientific_journal-2430	172	21	by	by	ADP
american_scientific_journal-2430	172	22	the	the	DET
american_scientific_journal-2430	172	23	two	two	NUM
american_scientific_journal-2430	172	24	method	method	NOUN
american_scientific_journal-2430	172	25	analysis	analysis	NOUN
american_scientific_journal-2430	172	26	(	(	PUNCT
american_scientific_journal-2430	172	27	with	with	ADP
american_scientific_journal-2430	172	28	utilizing	utilize	VERB
american_scientific_journal-2430	172	29	the	the	DET
american_scientific_journal-2430	172	30	finite	finite	ADJ
american_scientific_journal-2430	172	31	difference	difference	NOUN
american_scientific_journal-2430	172	32	technique	technique	NOUN
american_scientific_journal-2430	172	33	,	,	PUNCT
american_scientific_journal-2430	172	34	obviously	obviously	ADV
american_scientific_journal-2430	172	35	good	good	ADJ
american_scientific_journal-2430	172	36	agreements	agreement	NOUN
american_scientific_journal-2430	172	37	between	between	ADP
american_scientific_journal-2430	172	38	values	value	NOUN
american_scientific_journal-2430	172	39	produced	produce	VERB
american_scientific_journal-2430	172	40	by	by	ADP
american_scientific_journal-2430	172	41	the	the	DET
american_scientific_journal-2430	172	42	present	present	ADJ
american_scientific_journal-2430	172	43	sfsm	sfsm	NOUN
american_scientific_journal-2430	172	44	and	and	CCONJ
american_scientific_journal-2430	172	45	fem	fem	NOUN
american_scientific_journal-2430	172	46	(	(	PUNCT
american_scientific_journal-2430	172	47	sap2000	sap2000	ADJ
american_scientific_journal-2430	172	48	)	)	PUNCT
american_scientific_journal-2430	172	49	(	(	PUNCT
american_scientific_journal-2430	172	50	in	in	ADP
american_scientific_journal-2430	172	51	spite	spite	NOUN
american_scientific_journal-2430	172	52	of	of	ADP
american_scientific_journal-2430	172	53	incorporation	incorporation	NOUN
american_scientific_journal-2430	172	54	of	of	ADP
american_scientific_journal-2430	172	55	the	the	DET
american_scientific_journal-2430	172	56	approximate	approximate	ADJ
american_scientific_journal-2430	172	57	finite	finite	ADJ
american_scientific_journal-2430	172	58	difference	difference	NOUN
american_scientific_journal-2430	172	59	technique	technique	NOUN
american_scientific_journal-2430	172	60	)	)	PUNCT
american_scientific_journal-2430	172	61	.	.	PUNCT
american_scientific_journal-2430	173	1	figure	figure	NOUN
american_scientific_journal-2430	173	2	12	12	NUM
american_scientific_journal-2430	173	3	:	:	PUNCT
american_scientific_journal-2430	173	4	comparative	comparative	ADJ
american_scientific_journal-2430	173	5	chart	chart	NOUN
american_scientific_journal-2430	173	6	showing	show	VERB
american_scientific_journal-2430	173	7	values	value	NOUN
american_scientific_journal-2430	173	8	of	of	ADP
american_scientific_journal-2430	173	9	:	:	PUNCT
american_scientific_journal-2430	173	10	(	(	PUNCT
american_scientific_journal-2430	173	11	a	a	X
american_scientific_journal-2430	173	12	)	)	PUNCT
american_scientific_journal-2430	173	13	the	the	DET
american_scientific_journal-2430	173	14	max	max	PROPN
american_scientific_journal-2430	173	15	.	.	PUNCT
american_scientific_journal-2430	174	1	deflection	deflection	PROPN
american_scientific_journal-2430	174	2	,	,	PUNCT
american_scientific_journal-2430	174	3	(	(	PUNCT
american_scientific_journal-2430	174	4	b	b	X
american_scientific_journal-2430	174	5	)	)	PUNCT
american_scientific_journal-2430	174	6	the	the	DET
american_scientific_journal-2430	174	7	max	max	PROPN
american_scientific_journal-2430	174	8	.	.	PUNCT
american_scientific_journal-2430	174	9	moment	moment	NOUN
american_scientific_journal-2430	174	10	at	at	ADP
american_scientific_journal-2430	174	11	centerline	centerline	NOUN
american_scientific_journal-2430	174	12	of	of	ADP
american_scientific_journal-2430	174	13	bridge	bridge	NOUN
american_scientific_journal-2430	174	14	deck	deck	NOUN
american_scientific_journal-2430	174	15	.	.	PUNCT
american_scientific_journal-2430	175	1	9	9	X
american_scientific_journal-2430	175	2	.	.	X
american_scientific_journal-2430	175	3	conclusions	conclusion	NOUN
american_scientific_journal-2430	175	4	based	base	VERB
american_scientific_journal-2430	175	5	on	on	ADP
american_scientific_journal-2430	175	6	the	the	DET
american_scientific_journal-2430	175	7	results	result	NOUN
american_scientific_journal-2430	175	8	of	of	ADP
american_scientific_journal-2430	175	9	the	the	DET
american_scientific_journal-2430	175	10	present	present	ADJ
american_scientific_journal-2430	175	11	sfsm	sfsm	ADJ
american_scientific_journal-2430	175	12	analysis	analysis	NOUN
american_scientific_journal-2430	175	13	the	the	DET
american_scientific_journal-2430	175	14	following	follow	VERB
american_scientific_journal-2430	175	15	conclusions	conclusion	NOUN
american_scientific_journal-2430	175	16	have	have	AUX
american_scientific_journal-2430	175	17	been	be	AUX
american_scientific_journal-2430	175	18	drawn	draw	VERB
american_scientific_journal-2430	175	19	so	so	ADV
american_scientific_journal-2430	175	20	far	far	ADV
american_scientific_journal-2430	175	21	:	:	PUNCT
american_scientific_journal-2430	175	22	1	1	X
american_scientific_journal-2430	175	23	.	.	X
american_scientific_journal-2430	176	1	the	the	DET
american_scientific_journal-2430	176	2	use	use	NOUN
american_scientific_journal-2430	176	3	of	of	ADP
american_scientific_journal-2430	176	4	spline	spline	PROPN
american_scientific_journal-2430	176	5	finite	finite	PROPN
american_scientific_journal-2430	176	6	strip	strip	PROPN
american_scientific_journal-2430	176	7	method	method	NOUN
american_scientific_journal-2430	176	8	(	(	PUNCT
american_scientific_journal-2430	176	9	sfsm	sfsm	NUM
american_scientific_journal-2430	176	10	)	)	PUNCT
american_scientific_journal-2430	176	11	in	in	ADP
american_scientific_journal-2430	176	12	the	the	DET
american_scientific_journal-2430	176	13	analysis	analysis	NOUN
american_scientific_journal-2430	176	14	of	of	ADP
american_scientific_journal-2430	176	15	ribbed	rib	VERB
american_scientific_journal-2430	176	16	bridge	bridge	NOUN
american_scientific_journal-2430	176	17	decks	deck	NOUN
american_scientific_journal-2430	176	18	by	by	ADP
american_scientific_journal-2430	176	19	initially	initially	ADV
american_scientific_journal-2430	176	20	treating	treat	VERB
american_scientific_journal-2430	176	21	them	they	PRON
american_scientific_journal-2430	176	22	as	as	SCONJ
american_scientific_journal-2430	176	23	equivalent	equivalent	ADJ
american_scientific_journal-2430	176	24	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	176	25	plates	plate	NOUN
american_scientific_journal-2430	176	26	has	have	AUX
american_scientific_journal-2430	176	27	just	just	ADV
american_scientific_journal-2430	176	28	been	be	AUX
american_scientific_journal-2430	176	29	proved	prove	VERB
american_scientific_journal-2430	176	30	to	to	PART
american_scientific_journal-2430	176	31	be	be	AUX
american_scientific_journal-2430	176	32	simpler	simple	ADJ
american_scientific_journal-2430	176	33	,	,	PUNCT
american_scientific_journal-2430	176	34	faster	fast	ADJ
american_scientific_journal-2430	176	35	,	,	PUNCT
american_scientific_journal-2430	176	36	more	more	ADV
american_scientific_journal-2430	176	37	feasible	feasible	ADJ
american_scientific_journal-2430	176	38	and	and	CCONJ
american_scientific_journal-2430	176	39	more	more	ADV
american_scientific_journal-2430	176	40	economical	economical	ADJ
american_scientific_journal-2430	176	41	than	than	ADP
american_scientific_journal-2430	176	42	the	the	DET
american_scientific_journal-2430	176	43	finite	finite	ADJ
american_scientific_journal-2430	176	44	element	element	NOUN
american_scientific_journal-2430	176	45	method	method	NOUN
american_scientific_journal-2430	176	46	.	.	PUNCT
american_scientific_journal-2430	177	1	meanwhile	meanwhile	ADV
american_scientific_journal-2430	177	2	,	,	PUNCT
american_scientific_journal-2430	177	3	it	it	PRON
american_scientific_journal-2430	177	4	is	be	AUX
american_scientific_journal-2430	177	5	more	more	ADV
american_scientific_journal-2430	177	6	accurate	accurate	ADJ
american_scientific_journal-2430	177	7	and	and	CCONJ
american_scientific_journal-2430	177	8	more	more	ADV
american_scientific_journal-2430	177	9	versatile	versatile	ADJ
american_scientific_journal-2430	177	10	than	than	ADP
american_scientific_journal-2430	177	11	the	the	DET
american_scientific_journal-2430	177	12	grid	grid	NOUN
american_scientific_journal-2430	177	13	framework	framework	NOUN
american_scientific_journal-2430	177	14	analogy	analogy	NOUN
american_scientific_journal-2430	177	15	.	.	PUNCT
american_scientific_journal-2430	178	1	2	2	X
american_scientific_journal-2430	178	2	.	.	X
american_scientific_journal-2430	178	3	proposing	propose	VERB
american_scientific_journal-2430	178	4	a	a	DET
american_scientific_journal-2430	178	5	new	new	ADJ
american_scientific_journal-2430	178	6	technique	technique	NOUN
american_scientific_journal-2430	178	7	for	for	ADP
american_scientific_journal-2430	178	8	analysis	analysis	NOUN
american_scientific_journal-2430	178	9	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	178	10	plates	plate	NOUN
american_scientific_journal-2430	178	11	based	base	VERB
american_scientific_journal-2430	178	12	on	on	ADP
american_scientific_journal-2430	178	13	converting	convert	VERB
american_scientific_journal-2430	178	14	the	the	DET
american_scientific_journal-2430	178	15	section	section	NOUN
american_scientific_journal-2430	178	16	of	of	ADP
american_scientific_journal-2430	178	17	geometrical	geometrical	ADJ
american_scientific_journal-2430	178	18	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	178	19	plate	plate	NOUN
american_scientific_journal-2430	178	20	to	to	ADP
american_scientific_journal-2430	178	21	equivalent	equivalent	ADJ
american_scientific_journal-2430	178	22	section	section	NOUN
american_scientific_journal-2430	178	23	of	of	ADP
american_scientific_journal-2430	178	24	materially	materially	ADV
american_scientific_journal-2430	178	25	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	178	26	plate	plate	NOUN
american_scientific_journal-2430	178	27	using	use	VERB
american_scientific_journal-2430	178	28	simplified	simplified	ADJ
american_scientific_journal-2430	178	29	expressions	expression	NOUN
american_scientific_journal-2430	178	30	for	for	ADP
american_scientific_journal-2430	178	31	elastic	elastic	ADJ
american_scientific_journal-2430	178	32	rigidities	rigidity	NOUN
american_scientific_journal-2430	178	33	in	in	ADP
american_scientific_journal-2430	178	34	that	that	DET
american_scientific_journal-2430	178	35	purpose	purpose	NOUN
american_scientific_journal-2430	178	36	has	have	AUX
american_scientific_journal-2430	178	37	proved	prove	VERB
american_scientific_journal-2430	178	38	to	to	PART
american_scientific_journal-2430	178	39	be	be	AUX
american_scientific_journal-2430	178	40	efficient	efficient	ADJ
american_scientific_journal-2430	178	41	and	and	CCONJ
american_scientific_journal-2430	178	42	reliable	reliable	ADJ
american_scientific_journal-2430	178	43	3	3	NUM
american_scientific_journal-2430	178	44	.	.	PUNCT
american_scientific_journal-2430	179	1	in	in	ADP
american_scientific_journal-2430	179	2	the	the	DET
american_scientific_journal-2430	179	3	analysis	analysis	NOUN
american_scientific_journal-2430	179	4	of	of	ADP
american_scientific_journal-2430	179	5	ribbed	ribbed	ADJ
american_scientific_journal-2430	179	6	bridge	bridge	NOUN
american_scientific_journal-2430	179	7	decks	deck	NOUN
american_scientific_journal-2430	179	8	more	more	ADJ
american_scientific_journal-2430	179	9	accuracy	accuracy	NOUN
american_scientific_journal-2430	179	10	can	can	AUX
american_scientific_journal-2430	179	11	be	be	AUX
american_scientific_journal-2430	179	12	obtained	obtain	VERB
american_scientific_journal-2430	179	13	when	when	SCONJ
american_scientific_journal-2430	179	14	the	the	DET
american_scientific_journal-2430	179	15	equivalent	equivalent	ADJ
american_scientific_journal-2430	179	16	thicknesses	thickness	NOUN
american_scientific_journal-2430	179	17	in	in	ADP
american_scientific_journal-2430	179	18	the	the	DET
american_scientific_journal-2430	179	19	two	two	NUM
american_scientific_journal-2430	179	20	orthogonal	orthogonal	ADJ
american_scientific_journal-2430	179	21	directions(i.e	directions(i.e	NOUN
american_scientific_journal-2430	179	22	.	.	PUNCT
american_scientific_journal-2430	180	1	tx	tx	PROPN
american_scientific_journal-2430	180	2	and	and	CCONJ
american_scientific_journal-2430	180	3	ty	ty	NUM
american_scientific_journal-2430	180	4	)	)	PUNCT
american_scientific_journal-2430	180	5	of	of	ADP
american_scientific_journal-2430	180	6	such	such	ADJ
american_scientific_journal-2430	180	7	plates	plate	NOUN
american_scientific_journal-2430	180	8	are	be	AUX
american_scientific_journal-2430	180	9	calculated	calculate	VERB
american_scientific_journal-2430	180	10	twice	twice	ADV
american_scientific_journal-2430	180	11	,	,	PUNCT
american_scientific_journal-2430	180	12	first	first	ADV
american_scientific_journal-2430	180	13	by	by	ADP
american_scientific_journal-2430	180	14	taking	take	VERB
american_scientific_journal-2430	180	15	the	the	DET
american_scientific_journal-2430	180	16	41	41	NUM
american_scientific_journal-2430	180	17	.1	.1	NUM
american_scientific_journal-2430	180	18	7	7	NUM
american_scientific_journal-2430	180	19	47	47	NUM
american_scientific_journal-2430	180	20	.3	.3	NUM
american_scientific_journal-2430	180	21	7	7	NUM
american_scientific_journal-2430	180	22	21	21	NUM
american_scientific_journal-2430	180	23	.2	.2	NUM
american_scientific_journal-2430	180	24	5	5	NUM
american_scientific_journal-2430	180	25	20	20	NUM
american_scientific_journal-2430	180	26	.3	.3	NUM
american_scientific_journal-2430	180	27	6	6	NUM
american_scientific_journal-2430	180	28	0	0	NUM
american_scientific_journal-2430	180	29	10	10	NUM
american_scientific_journal-2430	180	30	20	20	NUM
american_scientific_journal-2430	180	31	30	30	NUM
american_scientific_journal-2430	180	32	40	40	NUM
american_scientific_journal-2430	180	33	50	50	NUM
american_scientific_journal-2430	180	34	60	60	NUM
american_scientific_journal-2430	180	35	kn	kn	NOUN
american_scientific_journal-2430	180	36	.m	.m	PROPN
american_scientific_journal-2430	181	1	/m	/m	PUNCT
american_scientific_journal-2430	182	1	%	%	NOUN
american_scientific_journal-2430	182	2	of	of	ADP
american_scientific_journal-2430	182	3	variation	variation	NOUN
american_scientific_journal-2430	182	4	=	=	SYM
american_scientific_journal-2430	182	5	-13.1	-13.1	X
american_scientific_journal-2430	182	6	present	present	ADJ
american_scientific_journal-2430	182	7	sfsm	sfsm	PROPN
american_scientific_journal-2430	182	8	fem	fem	NOUN
american_scientific_journal-2430	182	9	(	(	PUNCT
american_scientific_journal-2430	182	10	sap2000	sap2000	INTJ
american_scientific_journal-2430	182	11	)	)	PUNCT
american_scientific_journal-2430	182	12	1عمود	1عمود	NUM
american_scientific_journal-2430	182	13	present	present	ADJ
american_scientific_journal-2430	182	14	sfsm(mx	sfsm(mx	NOUN
american_scientific_journal-2430	182	15	)	)	PUNCT
american_scientific_journal-2430	182	16	mx	mx	NOUN
american_scientific_journal-2430	182	17	my	my	PRON
american_scientific_journal-2430	182	18	%	%	NOUN
american_scientific_journal-2430	182	19	of	of	ADP
american_scientific_journal-2430	182	20	variation	variation	NOUN
american_scientific_journal-2430	182	21	=	=	PUNCT
american_scientific_journal-2430	183	1	+	+	CCONJ
american_scientific_journal-2430	183	2	4.4	4.4	NUM
american_scientific_journal-2430	183	3	(	(	PUNCT
american_scientific_journal-2430	183	4	b	b	NOUN
american_scientific_journal-2430	183	5	)	)	PUNCT
american_scientific_journal-2430	183	6	(	(	PUNCT
american_scientific_journal-2430	183	7	a	a	X
american_scientific_journal-2430	183	8	)	)	PUNCT
american_scientific_journal-2430	183	9	3	3	NUM
american_scientific_journal-2430	183	10	.	.	NOUN
american_scientific_journal-2430	183	11	1	1	NUM
american_scientific_journal-2430	183	12	3	3	NUM
american_scientific_journal-2430	183	13	.	.	NOUN
american_scientific_journal-2430	183	14	15	15	NUM
american_scientific_journal-2430	183	15	3	3	NUM
american_scientific_journal-2430	183	16	.	.	NUM
american_scientific_journal-2430	184	1	21	21	NUM
american_scientific_journal-2430	184	2	0	0	NUM
american_scientific_journal-2430	184	3	0.5	0.5	NUM
american_scientific_journal-2430	184	4	1	1	NUM
american_scientific_journal-2430	184	5	1.5	1.5	NUM
american_scientific_journal-2430	184	6	2	2	NUM
american_scientific_journal-2430	184	7	2.5	2.5	NUM
american_scientific_journal-2430	184	8	3	3	NUM
american_scientific_journal-2430	184	9	3.5	3.5	NUM
american_scientific_journal-2430	184	10	4	4	NUM
american_scientific_journal-2430	184	11	4.5	4.5	NUM
american_scientific_journal-2430	184	12	5	5	NUM
american_scientific_journal-2430	184	13	m	m	NOUN
american_scientific_journal-2430	184	14	m	m	VERB
american_scientific_journal-2430	184	15	present	present	ADJ
american_scientific_journal-2430	184	16	sfsm	sfsm	ADJ
american_scientific_journal-2430	184	17	fem	fem	NOUN
american_scientific_journal-2430	184	18	(	(	PUNCT
american_scientific_journal-2430	184	19	sap2000	sap2000	PROPN
american_scientific_journal-2430	184	20	)	)	PUNCT
american_scientific_journal-2430	184	21	gfm	gfm	PROPN
american_scientific_journal-2430	184	22	(	(	PUNCT
american_scientific_journal-2430	184	23	mehdi	mehdi	PROPN
american_scientific_journal-2430	184	24	)	)	PUNCT
american_scientific_journal-2430	184	25	%	%	NOUN
american_scientific_journal-2430	184	26	of	of	ADP
american_scientific_journal-2430	184	27	variation	variation	NOUN
american_scientific_journal-2430	184	28	=	=	SYM
american_scientific_journal-2430	184	29	1.6	1.6	NUM
american_scientific_journal-2430	184	30	american	american	ADJ
american_scientific_journal-2430	184	31	scientific	scientific	ADJ
american_scientific_journal-2430	184	32	research	research	NOUN
american_scientific_journal-2430	184	33	journal	journal	NOUN
american_scientific_journal-2430	184	34	for	for	ADP
american_scientific_journal-2430	184	35	engineering	engineering	NOUN
american_scientific_journal-2430	184	36	,	,	PUNCT
american_scientific_journal-2430	184	37	technology	technology	NOUN
american_scientific_journal-2430	184	38	,	,	PUNCT
american_scientific_journal-2430	184	39	and	and	CCONJ
american_scientific_journal-2430	184	40	sciences	science	NOUN
american_scientific_journal-2430	184	41	(	(	PUNCT
american_scientific_journal-2430	184	42	asrjets	asrjet	NOUN
american_scientific_journal-2430	184	43	)	)	PUNCT
american_scientific_journal-2430	184	44	(	(	PUNCT
american_scientific_journal-2430	184	45	2016	2016	NUM
american_scientific_journal-2430	184	46	)	)	PUNCT
american_scientific_journal-2430	184	47	volume	volume	NOUN
american_scientific_journal-2430	184	48	26	26	NUM
american_scientific_journal-2430	184	49	,	,	PUNCT
american_scientific_journal-2430	184	50	no	no	DET
american_scientific_journal-2430	184	51	4	4	NUM
american_scientific_journal-2430	184	52	,	,	PUNCT
american_scientific_journal-2430	184	53	pp	pp	ADV
american_scientific_journal-2430	184	54	151	151	NUM
american_scientific_journal-2430	184	55	-	-	SYM
american_scientific_journal-2430	184	56	168	168	NUM
american_scientific_journal-2430	184	57	167	167	NUM
american_scientific_journal-2430	184	58	thickness	thickness	NOUN
american_scientific_journal-2430	184	59	obtained	obtain	VERB
american_scientific_journal-2430	184	60	from	from	ADP
american_scientific_journal-2430	184	61	the	the	DET
american_scientific_journal-2430	184	62	equation	equation	NOUN
american_scientific_journal-2430	184	63	(	(	PUNCT
american_scientific_journal-2430	184	64	tx	tx	PROPN
american_scientific_journal-2430	184	65	=	=	SYM
american_scientific_journal-2430	184	66	�	�	PROPN
american_scientific_journal-2430	184	67	12𝐼𝐼𝑥𝑥	12𝐼𝐼𝑥𝑥	NUM
american_scientific_journal-2430	184	68	3	3	NUM
american_scientific_journal-2430	184	69	)	)	PUNCT
american_scientific_journal-2430	184	70	,	,	PUNCT
american_scientific_journal-2430	184	71	and	and	CCONJ
american_scientific_journal-2430	184	72	second	second	ADV
american_scientific_journal-2430	184	73	by	by	ADP
american_scientific_journal-2430	184	74	taking	take	VERB
american_scientific_journal-2430	184	75	the	the	DET
american_scientific_journal-2430	184	76	thickness	thickness	NOUN
american_scientific_journal-2430	184	77	obtained	obtain	VERB
american_scientific_journal-2430	184	78	from	from	ADP
american_scientific_journal-2430	184	79	the	the	DET
american_scientific_journal-2430	184	80	equation	equation	NOUN
american_scientific_journal-2430	184	81	(	(	PUNCT
american_scientific_journal-2430	184	82	ty	ty	NOUN
american_scientific_journal-2430	184	83	=	=	SYM
american_scientific_journal-2430	184	84	�	�	NOUN
american_scientific_journal-2430	184	85	12𝐼𝐼𝑦𝑦3	12𝐼𝐼𝑦𝑦3	NUM
american_scientific_journal-2430	184	86	)	)	PUNCT
american_scientific_journal-2430	184	87	.	.	PUNCT
american_scientific_journal-2430	185	1	consequently	consequently	ADV
american_scientific_journal-2430	185	2	,	,	PUNCT
american_scientific_journal-2430	185	3	deflection	deflection	NOUN
american_scientific_journal-2430	185	4	values	value	NOUN
american_scientific_journal-2430	185	5	are	be	AUX
american_scientific_journal-2430	185	6	obtained	obtain	VERB
american_scientific_journal-2430	185	7	by	by	ADP
american_scientific_journal-2430	185	8	averaging	average	VERB
american_scientific_journal-2430	185	9	its	its	PRON
american_scientific_journal-2430	185	10	two	two	NUM
american_scientific_journal-2430	185	11	different	different	ADJ
american_scientific_journal-2430	185	12	values	value	NOUN
american_scientific_journal-2430	185	13	calculated	calculate	VERB
american_scientific_journal-2430	185	14	from	from	ADP
american_scientific_journal-2430	185	15	two	two	NUM
american_scientific_journal-2430	185	16	different	different	ADJ
american_scientific_journal-2430	185	17	plate	plate	NOUN
american_scientific_journal-2430	185	18	thicknesses	thickness	NOUN
american_scientific_journal-2430	185	19	.	.	PUNCT
american_scientific_journal-2430	186	1	4	4	X
american_scientific_journal-2430	186	2	.	.	PUNCT
american_scientific_journal-2430	186	3	based	base	VERB
american_scientific_journal-2430	186	4	on	on	ADP
american_scientific_journal-2430	186	5	its	its	PRON
american_scientific_journal-2430	186	6	results	result	NOUN
american_scientific_journal-2430	186	7	of	of	ADP
american_scientific_journal-2430	186	8	analysis	analysis	NOUN
american_scientific_journal-2430	186	9	of	of	ADP
american_scientific_journal-2430	186	10	the	the	DET
american_scientific_journal-2430	186	11	full	full	ADJ
american_scientific_journal-2430	186	12	scale	scale	NOUN
american_scientific_journal-2430	186	13	reinforced	reinforce	VERB
american_scientific_journal-2430	186	14	concrete	concrete	ADJ
american_scientific_journal-2430	186	15	slab	slab	NOUN
american_scientific_journal-2430	186	16	-	-	PUNCT
american_scientific_journal-2430	186	17	beam	beam	NOUN
american_scientific_journal-2430	186	18	bridge	bridge	NOUN
american_scientific_journal-2430	186	19	deck	deck	NOUN
american_scientific_journal-2430	186	20	has	have	VERB
american_scientific_journal-2430	186	21	four	four	NUM
american_scientific_journal-2430	186	22	transvers	transver	NOUN
american_scientific_journal-2430	186	23	diaphragms	diaphragm	NOUN
american_scientific_journal-2430	186	24	,	,	PUNCT
american_scientific_journal-2430	186	25	the	the	DET
american_scientific_journal-2430	186	26	present	present	ADJ
american_scientific_journal-2430	186	27	sfsm	sfsm	NOUN
american_scientific_journal-2430	186	28	has	have	AUX
american_scientific_journal-2430	186	29	also	also	ADV
american_scientific_journal-2430	186	30	revealed	reveal	VERB
american_scientific_journal-2430	186	31	extremely	extremely	ADV
american_scientific_journal-2430	186	32	high	high	ADJ
american_scientific_journal-2430	186	33	degrees	degree	NOUN
american_scientific_journal-2430	186	34	of	of	ADP
american_scientific_journal-2430	186	35	accuracy	accuracy	NOUN
american_scientific_journal-2430	186	36	for	for	ADP
american_scientific_journal-2430	186	37	deflection	deflection	NOUN
american_scientific_journal-2430	186	38	,	,	PUNCT
american_scientific_journal-2430	186	39	where	where	SCONJ
american_scientific_journal-2430	186	40	the	the	DET
american_scientific_journal-2430	186	41	gained	gain	VERB
american_scientific_journal-2430	186	42	levels	level	NOUN
american_scientific_journal-2430	186	43	of	of	ADP
american_scientific_journal-2430	186	44	coincidence	coincidence	NOUN
american_scientific_journal-2430	186	45	of	of	ADP
american_scientific_journal-2430	186	46	the	the	DET
american_scientific_journal-2430	186	47	present	present	NOUN
american_scientific_journal-2430	186	48	sfsm	sfsm	ADJ
american_scientific_journal-2430	186	49	with	with	ADP
american_scientific_journal-2430	186	50	the	the	DET
american_scientific_journal-2430	186	51	finely	finely	ADV
american_scientific_journal-2430	186	52	meshed	mesh	VERB
american_scientific_journal-2430	186	53	sap2000	sap2000	ADJ
american_scientific_journal-2430	186	54	model	model	NOUN
american_scientific_journal-2430	186	55	is	be	AUX
american_scientific_journal-2430	186	56	98.4	98.4	NUM
american_scientific_journal-2430	186	57	%	%	NOUN
american_scientific_journal-2430	186	58	.	.	PUNCT
american_scientific_journal-2430	187	1	5	5	X
american_scientific_journal-2430	187	2	.	.	X
american_scientific_journal-2430	187	3	high	high	ADJ
american_scientific_journal-2430	187	4	levels	level	NOUN
american_scientific_journal-2430	187	5	of	of	ADP
american_scientific_journal-2430	187	6	coincidence	coincidence	NOUN
american_scientific_journal-2430	187	7	for	for	ADP
american_scientific_journal-2430	187	8	the	the	DET
american_scientific_journal-2430	187	9	results	result	NOUN
american_scientific_journal-2430	187	10	of	of	ADP
american_scientific_journal-2430	187	11	bending	bend	VERB
american_scientific_journal-2430	187	12	moment	moment	NOUN
american_scientific_journal-2430	187	13	mx	mx	PROPN
american_scientific_journal-2430	187	14	and	and	CCONJ
american_scientific_journal-2430	187	15	my	my	PRON
american_scientific_journal-2430	187	16	outputs	output	NOUN
american_scientific_journal-2430	187	17	from	from	ADP
american_scientific_journal-2430	187	18	the	the	DET
american_scientific_journal-2430	187	19	present	present	ADJ
american_scientific_journal-2430	187	20	sfsm	sfsm	ADJ
american_scientific_journal-2430	187	21	and	and	CCONJ
american_scientific_journal-2430	187	22	finely	finely	ADV
american_scientific_journal-2430	187	23	meshed	mesh	VERB
american_scientific_journal-2430	187	24	sap2000	sap2000	ADJ
american_scientific_journal-2430	187	25	model	model	NOUN
american_scientific_journal-2430	187	26	for	for	ADP
american_scientific_journal-2430	187	27	the	the	DET
american_scientific_journal-2430	187	28	full	full	ADJ
american_scientific_journal-2430	187	29	scale	scale	NOUN
american_scientific_journal-2430	187	30	reinforced	reinforce	VERB
american_scientific_journal-2430	187	31	concrete	concrete	ADJ
american_scientific_journal-2430	187	32	slab	slab	NOUN
american_scientific_journal-2430	187	33	-	-	PUNCT
american_scientific_journal-2430	187	34	beam	beam	NOUN
american_scientific_journal-2430	187	35	bridge	bridge	NOUN
american_scientific_journal-2430	187	36	deck	deck	NOUN
american_scientific_journal-2430	187	37	has	have	VERB
american_scientific_journal-2430	187	38	four	four	NUM
american_scientific_journal-2430	187	39	transvers	transver	NOUN
american_scientific_journal-2430	187	40	diaphragms	diaphragms	NOUN
american_scientific_journal-2430	187	41	full	full	ADJ
american_scientific_journal-2430	187	42	scale	scale	NOUN
american_scientific_journal-2430	187	43	rc	rc	PROPN
american_scientific_journal-2430	187	44	slab	slab	NOUN
american_scientific_journal-2430	187	45	-	-	PUNCT
american_scientific_journal-2430	187	46	beam	beam	NOUN
american_scientific_journal-2430	187	47	bridge	bridge	NOUN
american_scientific_journal-2430	187	48	deck	deck	NOUN
american_scientific_journal-2430	187	49	,	,	PUNCT
american_scientific_journal-2430	187	50	where	where	SCONJ
american_scientific_journal-2430	187	51	86.9	86.9	NUM
american_scientific_journal-2430	187	52	%	%	NOUN
american_scientific_journal-2430	187	53	and	and	CCONJ
american_scientific_journal-2430	187	54	95.6	95.6	NUM
american_scientific_journal-2430	187	55	%	%	NOUN
american_scientific_journal-2430	187	56	,	,	PUNCT
american_scientific_journal-2430	187	57	respectively	respectively	ADV
american_scientific_journal-2430	187	58	.	.	PUNCT
american_scientific_journal-2430	188	1	10	10	NUM
american_scientific_journal-2430	188	2	.	.	X
american_scientific_journal-2430	189	1	recommendation	recommendation	NOUN
american_scientific_journal-2430	189	2	•	•	ADP
american_scientific_journal-2430	189	3	the	the	DET
american_scientific_journal-2430	189	4	proposed	propose	VERB
american_scientific_journal-2430	189	5	"	"	PUNCT
american_scientific_journal-2430	189	6	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	189	7	spline	spline	NOUN
american_scientific_journal-2430	189	8	finite	finite	PROPN
american_scientific_journal-2430	189	9	strip	strip	PROPN
american_scientific_journal-2430	189	10	"	"	PUNCT
american_scientific_journal-2430	189	11	technique	technique	NOUN
american_scientific_journal-2430	189	12	used	use	VERB
american_scientific_journal-2430	189	13	in	in	ADP
american_scientific_journal-2430	189	14	the	the	DET
american_scientific_journal-2430	189	15	present	present	ADJ
american_scientific_journal-2430	189	16	study	study	NOUN
american_scientific_journal-2430	189	17	for	for	ADP
american_scientific_journal-2430	189	18	the	the	DET
american_scientific_journal-2430	189	19	analysis	analysis	NOUN
american_scientific_journal-2430	189	20	of	of	ADP
american_scientific_journal-2430	189	21	ribbed	rib	VERB
american_scientific_journal-2430	189	22	bridge	bridge	NOUN
american_scientific_journal-2430	189	23	deck	deck	NOUN
american_scientific_journal-2430	189	24	can	can	AUX
american_scientific_journal-2430	189	25	be	be	AUX
american_scientific_journal-2430	189	26	extended	extend	VERB
american_scientific_journal-2430	189	27	to	to	PART
american_scientific_journal-2430	189	28	study	study	VERB
american_scientific_journal-2430	189	29	other	other	ADJ
american_scientific_journal-2430	189	30	types	type	NOUN
american_scientific_journal-2430	189	31	of	of	ADP
american_scientific_journal-2430	189	32	bridge	bridge	NOUN
american_scientific_journal-2430	189	33	deck	deck	NOUN
american_scientific_journal-2430	189	34	such	such	ADJ
american_scientific_journal-2430	189	35	as	as	ADP
american_scientific_journal-2430	189	36	waffle	waffle	NOUN
american_scientific_journal-2430	189	37	slab	slab	NOUN
american_scientific_journal-2430	189	38	decks	deck	NOUN
american_scientific_journal-2430	189	39	,	,	PUNCT
american_scientific_journal-2430	189	40	voided	void	VERB
american_scientific_journal-2430	189	41	slab	slab	NOUN
american_scientific_journal-2430	189	42	decks	deck	NOUN
american_scientific_journal-2430	189	43	,	,	PUNCT
american_scientific_journal-2430	189	44	cellular	cellular	ADJ
american_scientific_journal-2430	189	45	deck	deck	NOUN
american_scientific_journal-2430	189	46	slab	slab	NOUN
american_scientific_journal-2430	189	47	and	and	CCONJ
american_scientific_journal-2430	189	48	box	box	NOUN
american_scientific_journal-2430	189	49	girder	girder	NOUN
american_scientific_journal-2430	189	50	bridge	bridge	NOUN
american_scientific_journal-2430	189	51	decks	deck	NOUN
american_scientific_journal-2430	189	52	•	•	ADV
american_scientific_journal-2430	189	53	more	more	ADJ
american_scientific_journal-2430	189	54	investigation	investigation	NOUN
american_scientific_journal-2430	189	55	is	be	AUX
american_scientific_journal-2430	189	56	needed	need	VERB
american_scientific_journal-2430	189	57	on	on	ADP
american_scientific_journal-2430	189	58	the	the	DET
american_scientific_journal-2430	189	59	least	least	ADJ
american_scientific_journal-2430	189	60	number	number	NOUN
american_scientific_journal-2430	189	61	of	of	ADP
american_scientific_journal-2430	189	62	finite	finite	ADJ
american_scientific_journal-2430	189	63	strips	strip	NOUN
american_scientific_journal-2430	189	64	and	and	CCONJ
american_scientific_journal-2430	190	1	/or	/or	ADJ
american_scientific_journal-2430	190	2	sections	section	NOUN
american_scientific_journal-2430	190	3	per	per	ADP
american_scientific_journal-2430	190	4	nodal	nodal	NOUN
american_scientific_journal-2430	190	5	line	line	NOUN
american_scientific_journal-2430	190	6	giving	give	VERB
american_scientific_journal-2430	190	7	satisfactory	satisfactory	ADJ
american_scientific_journal-2430	190	8	accuracy	accuracy	NOUN
american_scientific_journal-2430	190	9	with	with	ADP
american_scientific_journal-2430	190	10	a	a	DET
american_scientific_journal-2430	190	11	minimum	minimum	ADJ
american_scientific_journal-2430	190	12	effort	effort	NOUN
american_scientific_journal-2430	190	13	of	of	ADP
american_scientific_journal-2430	190	14	input	input	NOUN
american_scientific_journal-2430	190	15	data	datum	NOUN
american_scientific_journal-2430	190	16	preparation	preparation	NOUN
american_scientific_journal-2430	190	17	and	and	CCONJ
american_scientific_journal-2430	190	18	execution	execution	NOUN
american_scientific_journal-2430	190	19	time	time	NOUN
american_scientific_journal-2430	190	20	for	for	ADP
american_scientific_journal-2430	190	21	analysis	analysis	NOUN
american_scientific_journal-2430	190	22	of	of	ADP
american_scientific_journal-2430	190	23	ribbed	rib	VERB
american_scientific_journal-2430	190	24	bridge	bridge	NOUN
american_scientific_journal-2430	190	25	decks	deck	NOUN
american_scientific_journal-2430	190	26	by	by	ADP
american_scientific_journal-2430	190	27	the	the	DET
american_scientific_journal-2430	190	28	present	present	ADJ
american_scientific_journal-2430	190	29	orthotropic	orthotropic	NOUN
american_scientific_journal-2430	190	30	sfsm	sfsm	ADJ
american_scientific_journal-2430	190	31	•	•	NUM
american_scientific_journal-2430	190	32	investigation	investigation	NOUN
american_scientific_journal-2430	190	33	on	on	ADP
american_scientific_journal-2430	190	34	the	the	DET
american_scientific_journal-2430	190	35	efficiency	efficiency	NOUN
american_scientific_journal-2430	190	36	of	of	ADP
american_scientific_journal-2430	190	37	the	the	DET
american_scientific_journal-2430	190	38	present	present	ADJ
american_scientific_journal-2430	190	39	orthotropic	orthotropic	NOUN
american_scientific_journal-2430	190	40	sfsm	sfsm	ADJ
american_scientific_journal-2430	190	41	in	in	ADP
american_scientific_journal-2430	190	42	analyzing	analyze	VERB
american_scientific_journal-2430	190	43	ribbed	rib	VERB
american_scientific_journal-2430	190	44	bridge	bridge	NOUN
american_scientific_journal-2430	190	45	decks	deck	NOUN
american_scientific_journal-2430	190	46	of	of	ADP
american_scientific_journal-2430	190	47	varying	vary	VERB
american_scientific_journal-2430	190	48	ribs	rib	NOUN
american_scientific_journal-2430	190	49	depth	depth	NOUN
american_scientific_journal-2430	190	50	.	.	PUNCT
american_scientific_journal-2430	191	1	references	reference	NOUN
american_scientific_journal-2430	191	2	[	[	X
american_scientific_journal-2430	191	3	1	1	NUM
american_scientific_journal-2430	191	4	]	]	X
american_scientific_journal-2430	191	5	cheung	cheung	PROPN
american_scientific_journal-2430	191	6	,	,	PUNCT
american_scientific_journal-2430	191	7	y.k	y.k	PROPN
american_scientific_journal-2430	191	8	.	.	PUNCT
american_scientific_journal-2430	192	1	"	"	PUNCT
american_scientific_journal-2430	192	2	the	the	DET
american_scientific_journal-2430	192	3	finite	finite	PROPN
american_scientific_journal-2430	192	4	strip	strip	PROPN
american_scientific_journal-2430	192	5	method	method	NOUN
american_scientific_journal-2430	192	6	in	in	ADP
american_scientific_journal-2430	192	7	the	the	DET
american_scientific_journal-2430	192	8	analysis	analysis	NOUN
american_scientific_journal-2430	192	9	of	of	ADP
american_scientific_journal-2430	192	10	elastic	elastic	ADJ
american_scientific_journal-2430	192	11	plates	plate	NOUN
american_scientific_journal-2430	192	12	with	with	ADP
american_scientific_journal-2430	192	13	two	two	NUM
american_scientific_journal-2430	192	14	opposite	opposite	ADJ
american_scientific_journal-2430	192	15	simply	simply	ADV
american_scientific_journal-2430	192	16	supported	support	VERB
american_scientific_journal-2430	192	17	ends	end	NOUN
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american_scientific_journal-2430	192	19	.	.	PUNCT
american_scientific_journal-2430	193	1	proc	proc	PROPN
american_scientific_journal-2430	193	2	.	.	PUNCT
american_scientific_journal-2430	194	1	inst	inst	PROPN
american_scientific_journal-2430	194	2	.	.	PUNCT
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american_scientific_journal-2430	195	2	.	.	PUNCT
american_scientific_journal-2430	195	3	engr	engr	PROPN
american_scientific_journal-2430	195	4	,	,	PUNCT
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american_scientific_journal-2430	195	6	.	.	PROPN
american_scientific_journal-2430	195	7	40	40	NUM
american_scientific_journal-2430	195	8	,	,	PUNCT
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american_scientific_journal-2430	195	10	,	,	PUNCT
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american_scientific_journal-2430	195	12	-	-	PUNCT
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american_scientific_journal-2430	195	14	.	.	PUNCT
american_scientific_journal-2430	196	1	[	[	X
american_scientific_journal-2430	196	2	2	2	NUM
american_scientific_journal-2430	196	3	]	]	X
american_scientific_journal-2430	196	4	cheung	cheung	PROPN
american_scientific_journal-2430	196	5	,	,	PUNCT
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american_scientific_journal-2430	196	7	.	.	PROPN
american_scientific_journal-2430	196	8	,	,	PUNCT
american_scientific_journal-2430	196	9	li	li	PROPN
american_scientific_journal-2430	196	10	,	,	PUNCT
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american_scientific_journal-2430	196	12	and	and	CCONJ
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american_scientific_journal-2430	196	14	,	,	PUNCT
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american_scientific_journal-2430	196	16	.	.	PROPN
american_scientific_journal-2430	196	17	finite	finite	PROPN
american_scientific_journal-2430	196	18	strip	strip	PROPN
american_scientific_journal-2430	196	19	analysis	analysis	NOUN
american_scientific_journal-2430	196	20	of	of	ADP
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american_scientific_journal-2430	196	23	.	.	PUNCT
american_scientific_journal-2430	197	1	first	first	PROPN
american_scientific_journal-2430	197	2	edition	edition	PROPN
american_scientific_journal-2430	197	3	.	.	PUNCT
american_scientific_journal-2430	198	1	london	london	PROPN
american_scientific_journal-2430	198	2	:	:	PUNCT
american_scientific_journal-2430	198	3	e&fn	e&fn	NOUN
american_scientific_journal-2430	198	4	spon,1996	spon,1996	NOUN
american_scientific_journal-2430	198	5	.	.	PUNCT
american_scientific_journal-2430	199	1	[	[	X
american_scientific_journal-2430	199	2	3	3	NUM
american_scientific_journal-2430	199	3	]	]	X
american_scientific_journal-2430	199	4	razzaq	razzaq	PROPN
american_scientific_journal-2430	199	5	,	,	PUNCT
american_scientific_journal-2430	199	6	raja	raja	PROPN
american_scientific_journal-2430	199	7	.	.	PUNCT
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american_scientific_journal-2430	199	9	.	.	PUNCT
american_scientific_journal-2430	200	1	"	"	PUNCT
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american_scientific_journal-2430	200	3	static	static	ADJ
american_scientific_journal-2430	200	4	and	and	CCONJ
american_scientific_journal-2430	200	5	dynamic	dynamic	ADJ
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american_scientific_journal-2430	200	7	of	of	ADP
american_scientific_journal-2430	200	8	composite	composite	ADJ
american_scientific_journal-2430	200	9	,	,	PUNCT
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american_scientific_journal-2430	200	12	and	and	CCONJ
american_scientific_journal-2430	200	13	shells	shell	NOUN
american_scientific_journal-2430	200	14	using	use	VERB
american_scientific_journal-2430	200	15	finite	finite	PROPN
american_scientific_journal-2430	200	16	strip	strip	PROPN
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american_scientific_journal-2430	200	18	"	"	PUNCT
american_scientific_journal-2430	200	19	.	.	PUNCT
american_scientific_journal-2430	201	1	ph	ph	PROPN
american_scientific_journal-2430	201	2	.	.	PROPN
american_scientific_journal-2430	201	3	d.	d.	PROPN
american_scientific_journal-2430	201	4	thesis	thesis	PROPN
american_scientific_journal-2430	201	5	,	,	PUNCT
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american_scientific_journal-2430	201	8	.	.	PUNCT
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american_scientific_journal-2430	202	2	4	4	NUM
american_scientific_journal-2430	202	3	]	]	X
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american_scientific_journal-2430	202	5	,	,	PUNCT
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american_scientific_journal-2430	202	7	.	.	PUNCT
american_scientific_journal-2430	202	8	"	"	PUNCT
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american_scientific_journal-2430	202	12	in	in	ADP
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american_scientific_journal-2430	202	15	"	"	PUNCT
american_scientific_journal-2430	202	16	.	.	PUNCT
american_scientific_journal-2430	203	1	ph	ph	PROPN
american_scientific_journal-2430	203	2	.	.	PROPN
american_scientific_journal-2430	203	3	d.	d.	PROPN
american_scientific_journal-2430	203	4	thesis	thesis	PROPN
american_scientific_journal-2430	203	5	,	,	PUNCT
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american_scientific_journal-2430	203	7	of	of	ADP
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american_scientific_journal-2430	204	2	5	5	NUM
american_scientific_journal-2430	204	3	]	]	X
american_scientific_journal-2430	204	4	cheung	cheung	PROPN
american_scientific_journal-2430	204	5	,	,	PUNCT
american_scientific_journal-2430	204	6	y.	y.	PROPN
american_scientific_journal-2430	204	7	k.	k.	PROPN
american_scientific_journal-2430	205	1	finite	finite	PROPN
american_scientific_journal-2430	205	2	strip	strip	PROPN
american_scientific_journal-2430	205	3	method	method	NOUN
american_scientific_journal-2430	205	4	in	in	ADP
american_scientific_journal-2430	205	5	structural	structural	ADJ
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american_scientific_journal-2430	205	7	.	.	PUNCT
american_scientific_journal-2430	206	1	first	first	PROPN
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american_scientific_journal-2430	206	3	.	.	PUNCT
american_scientific_journal-2430	206	4	:	:	PUNCT
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american_scientific_journal-2430	207	3	.	.	PUNCT
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american_scientific_journal-2430	209	3	analysis	analysis	NOUN
american_scientific_journal-2430	209	4	.	.	PUNCT
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american_scientific_journal-2430	210	3	.	.	PUNCT
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american_scientific_journal-2430	211	5	.	.	PUNCT
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american_scientific_journal-2430	212	5	,	,	PUNCT
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american_scientific_journal-2430	215	5	,	,	PUNCT
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american_scientific_journal-2430	220	4	–	–	PUNCT
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american_scientific_journal-2430	220	30	-	-	SYM
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american_scientific_journal-2430	220	32	168	168	NUM
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american_scientific_journal-2430	220	36	.	.	PUNCT
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american_scientific_journal-2430	221	5	-	-	PUNCT
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american_scientific_journal-2430	226	5	-	-	PUNCT
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american_scientific_journal-2430	228	2	sc	sc	PROPN
american_scientific_journal-2430	228	3	.	.	PUNCT
american_scientific_journal-2430	229	1	thesis	thesis	PROPN
american_scientific_journal-2430	229	2	,	,	PUNCT
american_scientific_journal-2430	229	3	university	university	NOUN
american_scientific_journal-2430	229	4	of	of	ADP
american_scientific_journal-2430	229	5	baghdad,1988	baghdad,1988	PROPN
american_scientific_journal-2430	229	6	.	.	PUNCT
american_scientific_journal-2430	230	1	[	[	X
american_scientific_journal-2430	230	2	13	13	NUM
american_scientific_journal-2430	230	3	]	]	X
american_scientific_journal-2430	230	4	al	al	PROPN
american_scientific_journal-2430	230	5	-	-	PUNCT
american_scientific_journal-2430	230	6	dawar	dawar	PROPN
american_scientific_journal-2430	230	7	,	,	PUNCT
american_scientific_journal-2430	230	8	mohammed.a.al	mohammed.a.al	PROPN
american_scientific_journal-2430	230	9	-	-	PUNCT
american_scientific_journal-2430	230	10	khaliq	khaliq	PROPN
american_scientific_journal-2430	230	11	."a	."a	PROPN
american_scientific_journal-2430	230	12	study	study	NOUN
american_scientific_journal-2430	230	13	on	on	ADP
american_scientific_journal-2430	230	14	the	the	DET
american_scientific_journal-2430	230	15	use	use	NOUN
american_scientific_journal-2430	230	16	of	of	ADP
american_scientific_journal-2430	230	17	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	230	18	plate	plate	NOUN
american_scientific_journal-2430	230	19	theory	theory	NOUN
american_scientific_journal-2430	230	20	in	in	ADP
american_scientific_journal-2430	230	21	bridge	bridge	PROPN
american_scientific_journal-2430	230	22	deck	deck	NOUN
american_scientific_journal-2430	230	23	analysis	analysis	NOUN
american_scientific_journal-2430	230	24	"	"	PUNCT
american_scientific_journal-2430	230	25	.	.	PUNCT
american_scientific_journal-2430	230	26	ph	ph	PROPN
american_scientific_journal-2430	230	27	.	.	PROPN
american_scientific_journal-2430	230	28	d.	d.	PROPN
american_scientific_journal-2430	230	29	thesis	thesis	PROPN
american_scientific_journal-2430	230	30	,	,	PUNCT
american_scientific_journal-2430	230	31	university	university	NOUN
american_scientific_journal-2430	230	32	of	of	ADP
american_scientific_journal-2430	230	33	baghdad,1998	baghdad,1998	PROPN
american_scientific_journal-2430	230	34	.	.	PUNCT
american_scientific_journal-2430	231	1	[	[	X
american_scientific_journal-2430	231	2	14	14	NUM
american_scientific_journal-2430	231	3	]	]	X
american_scientific_journal-2430	231	4	hassan	hassan	PROPN
american_scientific_journal-2430	231	5	,	,	PUNCT
american_scientific_journal-2430	231	6	rafea	rafea	PROPN
american_scientific_journal-2430	231	7	flaih	flaih	NOUN
american_scientific_journal-2430	231	8	."bridge	."bridge	NOUN
american_scientific_journal-2430	232	1	deck	deck	NOUN
american_scientific_journal-2430	232	2	analysis	analysis	NOUN
american_scientific_journal-2430	232	3	using	use	VERB
american_scientific_journal-2430	232	4	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	232	5	plate	plate	NOUN
american_scientific_journal-2430	232	6	theory	theory	NOUN
american_scientific_journal-2430	232	7	"	"	PUNCT
american_scientific_journal-2430	232	8	.	.	PUNCT
american_scientific_journal-2430	233	1	m.	m.	PROPN
american_scientific_journal-2430	233	2	sc	sc	PROPN
american_scientific_journal-2430	233	3	.	.	PUNCT
american_scientific_journal-2430	234	1	thesis	thesis	PROPN
american_scientific_journal-2430	234	2	,	,	PUNCT
american_scientific_journal-2430	234	3	university	university	NOUN
american_scientific_journal-2430	234	4	of	of	ADP
american_scientific_journal-2430	234	5	technologybaghdad,2005	technologybaghdad,2005	NOUN
american_scientific_journal-2430	234	6	.	.	PUNCT
american_scientific_journal-2430	235	1	[	[	X
american_scientific_journal-2430	235	2	15	15	NUM
american_scientific_journal-2430	235	3	]	]	X
american_scientific_journal-2430	235	4	a.kadir	a.kadir	ADV
american_scientific_journal-2430	235	5	,	,	PUNCT
american_scientific_journal-2430	235	6	benan	benan	NOUN
american_scientific_journal-2430	235	7	naji	naji	PROPN
american_scientific_journal-2430	235	8	.	.	PUNCT
american_scientific_journal-2430	236	1	"	"	PUNCT
american_scientific_journal-2430	236	2	analysis	analysis	NOUN
american_scientific_journal-2430	236	3	of	of	ADP
american_scientific_journal-2430	236	4	simply	simply	ADV
american_scientific_journal-2430	236	5	supported	support	VERB
american_scientific_journal-2430	236	6	concrete	concrete	ADJ
american_scientific_journal-2430	236	7	highway	highway	NOUN
american_scientific_journal-2430	236	8	bridges	bridge	NOUN
american_scientific_journal-2430	236	9	using	use	VERB
american_scientific_journal-2430	236	10	the	the	DET
american_scientific_journal-2430	236	11	orthotropic	orthotropic	ADJ
american_scientific_journal-2430	236	12	plate	plate	NOUN
american_scientific_journal-2430	236	13	theory	theory	NOUN
american_scientific_journal-2430	236	14	and	and	CCONJ
american_scientific_journal-2430	236	15	iraqi	iraqi	ADJ
american_scientific_journal-2430	236	16	specifications	specification	NOUN
american_scientific_journal-2430	236	17	"	"	PUNCT
american_scientific_journal-2430	236	18	.	.	PUNCT
american_scientific_journal-2430	237	1	m.	m.	PROPN
american_scientific_journal-2430	237	2	sc	sc	PROPN
american_scientific_journal-2430	237	3	.	.	PUNCT
american_scientific_journal-2430	238	1	thesis	thesis	PROPN
american_scientific_journal-2430	238	2	,	,	PUNCT
american_scientific_journal-2430	238	3	university	university	NOUN
american_scientific_journal-2430	238	4	of	of	ADP
american_scientific_journal-2430	238	5	baghdad,1979	baghdad,1979	NOUN
american_scientific_journal-2430	238	6	.	.	PUNCT
american_scientific_journal-2430	239	1	[	[	X
american_scientific_journal-2430	239	2	16	16	NUM
american_scientific_journal-2430	239	3	]	]	X
american_scientific_journal-2430	239	4	timoshenko	timoshenko	PROPN
american_scientific_journal-2430	239	5	,	,	PUNCT
american_scientific_journal-2430	239	6	s.p	s.p	PROPN
american_scientific_journal-2430	239	7	.	.	PROPN
american_scientific_journal-2430	239	8	and	and	CCONJ
american_scientific_journal-2430	239	9	kreiger	kreiger	PROPN
american_scientific_journal-2430	239	10	,	,	PUNCT
american_scientific_journal-2430	239	11	s.w	s.w	PROPN
american_scientific_journal-2430	239	12	.	.	PROPN
american_scientific_journal-2430	239	13	theory	theory	NOUN
american_scientific_journal-2430	239	14	of	of	ADP
american_scientific_journal-2430	239	15	plate	plate	NOUN
american_scientific_journal-2430	239	16	and	and	CCONJ
american_scientific_journal-2430	239	17	shells	shell	NOUN
american_scientific_journal-2430	239	18	.	.	PUNCT
american_scientific_journal-2430	240	1	2eded	2eded	NUM
american_scientific_journal-2430	240	2	.	.	PUNCT
american_scientific_journal-2430	240	3	new	new	ADJ
american_scientific_journal-2430	240	4	yourk	yourk	PROPN
american_scientific_journal-2430	240	5	:	:	PUNCT
american_scientific_journal-2430	240	6	mcgraw	mcgraw	PROPN
american_scientific_journal-2430	240	7	-	-	PUNCT
american_scientific_journal-2430	240	8	hill	hill	NOUN
american_scientific_journal-2430	240	9	,	,	PUNCT
american_scientific_journal-2430	240	10	1959	1959	NUM
american_scientific_journal-2430	240	11	.	.	PUNCT
american_scientific_journal-2430	241	1	[	[	X
american_scientific_journal-2430	241	2	17	17	NUM
american_scientific_journal-2430	241	3	]	]	X
american_scientific_journal-2430	241	4	cusens	cusens	PROPN
american_scientific_journal-2430	241	5	,	,	PUNCT
american_scientific_journal-2430	241	6	a.	a.	PROPN
american_scientific_journal-2430	241	7	r.	r.	PROPN
american_scientific_journal-2430	241	8	and	and	CCONJ
american_scientific_journal-2430	241	9	pama	pama	PROPN
american_scientific_journal-2430	241	10	,	,	PUNCT
american_scientific_journal-2430	241	11	r.p	r.p	PROPN
american_scientific_journal-2430	241	12	.	.	PROPN
american_scientific_journal-2430	241	13	bridge	bridge	PROPN
american_scientific_journal-2430	241	14	deck	deck	NOUN
american_scientific_journal-2430	241	15	analysis	analysis	NOUN
american_scientific_journal-2430	241	16	.	.	PUNCT
american_scientific_journal-2430	242	1	london	london	PROPN
american_scientific_journal-2430	242	2	:	:	PUNCT
american_scientific_journal-2430	242	3	john	john	PROPN
american_scientific_journal-2430	242	4	wile	wile	PROPN
american_scientific_journal-2430	242	5	and	and	CCONJ
american_scientific_journal-2430	242	6	sons	son	NOUN
american_scientific_journal-2430	242	7	,	,	PUNCT
american_scientific_journal-2430	242	8	1975	1975	NUM
american_scientific_journal-2430	242	9	.	.	PUNCT