id	sid	tid	token	lemma	pos
app01-10111	1	1	acta	acta	PROPN
app01-10111	1	2	polytechnica	polytechnica	PROPN
app01-10111	1	3	ctu	ctu	PROPN
app01-10111	1	4	proceedings	proceeding	NOUN
app01-10111	1	5	https://doi.org/10.14311/app.2024.48.0022	https://doi.org/10.14311/app.2024.48.0022	PROPN
app01-10111	1	6	acta	acta	PROPN
app01-10111	1	7	polytechnica	polytechnica	PROPN
app01-10111	1	8	ctu	ctu	PROPN
app01-10111	1	9	proceedings	proceeding	NOUN
app01-10111	1	10	48:22–26	48:22–26	PROPN
app01-10111	1	11	,	,	PUNCT
app01-10111	1	12	2024	2024	NUM
app01-10111	1	13	©	©	ADP
app01-10111	1	14	2024	2024	NUM
app01-10111	1	15	the	the	DET
app01-10111	1	16	author(s	author(s	NOUN
app01-10111	1	17	)	)	PUNCT
app01-10111	1	18	.	.	PUNCT
app01-10111	2	1	licensed	license	VERB
app01-10111	2	2	under	under	ADP
app01-10111	2	3	a	a	DET
app01-10111	2	4	cc	cc	NOUN
app01-10111	2	5	-	-	PUNCT
app01-10111	2	6	by	by	ADP
app01-10111	2	7	4.0	4.0	NUM
app01-10111	2	8	licence	licence	NOUN
app01-10111	2	9	published	publish	VERB
app01-10111	2	10	by	by	ADP
app01-10111	2	11	the	the	DET
app01-10111	2	12	czech	czech	PROPN
app01-10111	2	13	technical	technical	PROPN
app01-10111	2	14	university	university	PROPN
app01-10111	2	15	in	in	ADP
app01-10111	2	16	prague	prague	PROPN
app01-10111	2	17	a	a	DET
app01-10111	2	18	geometry	geometry	NOUN
app01-10111	2	19	projection	projection	NOUN
app01-10111	2	20	method	method	NOUN
app01-10111	2	21	for	for	ADP
app01-10111	2	22	designing	design	VERB
app01-10111	2	23	and	and	CCONJ
app01-10111	2	24	optimizing	optimize	VERB
app01-10111	2	25	additively	additively	ADV
app01-10111	2	26	manufactured	manufacture	VERB
app01-10111	2	27	variable	variable	ADJ
app01-10111	2	28	-	-	PUNCT
app01-10111	2	29	stiffness	stiffness	NOUN
app01-10111	2	30	composite	composite	ADJ
app01-10111	2	31	laminates	laminate	NOUN
app01-10111	2	32	yogesh	yogesh	NOUN
app01-10111	2	33	gandhia,∗	gandhia,∗	PROPN
app01-10111	2	34	,	,	PUNCT
app01-10111	2	35	julián	julián	NOUN
app01-10111	2	36	noratob	noratob	PROPN
app01-10111	2	37	,	,	PUNCT
app01-10111	2	38	ana	ana	PROPN
app01-10111	2	39	pavlovica	pavlovica	PROPN
app01-10111	2	40	,	,	PUNCT
app01-10111	2	41	giangiacomo	giangiacomo	NOUN
app01-10111	2	42	minaka	minaka	NOUN
app01-10111	2	43	a	a	DET
app01-10111	2	44	alma	alma	NOUN
app01-10111	2	45	mater	mater	NOUN
app01-10111	2	46	studiorum	studiorum	PROPN
app01-10111	2	47	–	–	PUNCT
app01-10111	2	48	università	università	PROPN
app01-10111	2	49	di	di	PROPN
app01-10111	2	50	bologna	bologna	PROPN
app01-10111	2	51	,	,	PUNCT
app01-10111	2	52	department	department	NOUN
app01-10111	2	53	of	of	ADP
app01-10111	2	54	industrial	industrial	ADJ
app01-10111	2	55	engineering	engineering	NOUN
app01-10111	2	56	,	,	PUNCT
app01-10111	2	57	via	via	ADP
app01-10111	2	58	fontanelle	fontanelle	NOUN
app01-10111	2	59	40	40	NUM
app01-10111	2	60	,	,	PUNCT
app01-10111	2	61	forlì-47121	forlì-47121	ADJ
app01-10111	2	62	,	,	PUNCT
app01-10111	2	63	italy	italy	PROPN
app01-10111	2	64	b	b	PROPN
app01-10111	2	65	university	university	PROPN
app01-10111	2	66	of	of	ADP
app01-10111	2	67	connecticut	connecticut	PROPN
app01-10111	2	68	,	,	PUNCT
app01-10111	2	69	department	department	NOUN
app01-10111	2	70	of	of	ADP
app01-10111	2	71	mechanical	mechanical	ADJ
app01-10111	2	72	engineering	engineering	NOUN
app01-10111	2	73	,	,	PUNCT
app01-10111	2	74	191	191	NUM
app01-10111	2	75	auditorium	auditorium	NOUN
app01-10111	2	76	road	road	NOUN
app01-10111	2	77	,	,	PUNCT
app01-10111	2	78	u-3139	u-3139	PROPN
app01-10111	2	79	storrs	storrs	PROPN
app01-10111	2	80	,	,	PUNCT
app01-10111	2	81	ct	ct	PROPN
app01-10111	2	82	06269	06269	NUM
app01-10111	2	83	,	,	PUNCT
app01-10111	2	84	united	united	PROPN
app01-10111	2	85	states	states	PROPN
app01-10111	2	86	∗	∗	NOUN
app01-10111	2	87	corresponding	correspond	VERB
app01-10111	2	88	author	author	NOUN
app01-10111	2	89	:	:	PUNCT
app01-10111	2	90	yogesh.gandhi@unibo.it	yogesh.gandhi@unibo.it	PROPN
app01-10111	2	91	abstract	abstract	ADJ
app01-10111	2	92	.	.	PUNCT
app01-10111	3	1	a	a	DET
app01-10111	3	2	method	method	NOUN
app01-10111	3	3	for	for	ADP
app01-10111	3	4	designing	design	VERB
app01-10111	3	5	laminates	laminate	NOUN
app01-10111	3	6	is	be	AUX
app01-10111	3	7	presented	present	VERB
app01-10111	3	8	using	use	VERB
app01-10111	3	9	geometry	geometry	NOUN
app01-10111	3	10	projection	projection	NOUN
app01-10111	3	11	to	to	PART
app01-10111	3	12	optimize	optimize	VERB
app01-10111	3	13	the	the	DET
app01-10111	3	14	layout	layout	NOUN
app01-10111	3	15	of	of	ADP
app01-10111	3	16	additively	additively	ADV
app01-10111	3	17	manufactured	manufacture	VERB
app01-10111	3	18	variable	variable	ADJ
app01-10111	3	19	-	-	PUNCT
app01-10111	3	20	stiffness	stiffness	NOUN
app01-10111	3	21	composite	composite	ADJ
app01-10111	3	22	laminates	laminate	NOUN
app01-10111	3	23	.	.	PUNCT
app01-10111	4	1	by	by	ADP
app01-10111	4	2	considering	consider	VERB
app01-10111	4	3	fiberreinforced	fiberreinforce	VERB
app01-10111	4	4	bars	bar	NOUN
app01-10111	4	5	as	as	ADP
app01-10111	4	6	geometric	geometric	ADJ
app01-10111	4	7	primitives	primitive	NOUN
app01-10111	4	8	,	,	PUNCT
app01-10111	4	9	the	the	DET
app01-10111	4	10	geometry	geometry	NOUN
app01-10111	4	11	projection	projection	NOUN
app01-10111	4	12	methodology	methodology	NOUN
app01-10111	4	13	is	be	AUX
app01-10111	4	14	extended	extend	VERB
app01-10111	4	15	to	to	PART
app01-10111	4	16	include	include	VERB
app01-10111	4	17	optimizing	optimize	VERB
app01-10111	4	18	regions	region	NOUN
app01-10111	4	19	with	with	ADP
app01-10111	4	20	intersecting	intersecting	ADJ
app01-10111	4	21	load	load	NOUN
app01-10111	4	22	paths	path	NOUN
app01-10111	4	23	.	.	PUNCT
app01-10111	5	1	this	this	PRON
app01-10111	5	2	is	be	AUX
app01-10111	5	3	achieved	achieve	VERB
app01-10111	5	4	by	by	ADP
app01-10111	5	5	utilizing	utilize	VERB
app01-10111	5	6	a	a	DET
app01-10111	5	7	dual	dual	ADJ
app01-10111	5	8	representation	representation	NOUN
app01-10111	5	9	of	of	ADP
app01-10111	5	10	bars	bar	NOUN
app01-10111	5	11	,	,	PUNCT
app01-10111	5	12	which	which	PRON
app01-10111	5	13	considers	consider	VERB
app01-10111	5	14	the	the	DET
app01-10111	5	15	geometric	geometric	ADJ
app01-10111	5	16	parameters	parameter	NOUN
app01-10111	5	17	and	and	CCONJ
app01-10111	5	18	the	the	DET
app01-10111	5	19	element	element	ADJ
app01-10111	5	20	-	-	PUNCT
app01-10111	5	21	wise	wise	ADJ
app01-10111	5	22	density	density	NOUN
app01-10111	5	23	field	field	NOUN
app01-10111	5	24	representation	representation	NOUN
app01-10111	5	25	.	.	PUNCT
app01-10111	6	1	the	the	DET
app01-10111	6	2	dual	dual	ADJ
app01-10111	6	3	representation	representation	NOUN
app01-10111	6	4	enables	enable	VERB
app01-10111	6	5	the	the	DET
app01-10111	6	6	combining	combining	NOUN
app01-10111	6	7	and	and	CCONJ
app01-10111	6	8	overlapping	overlapping	NOUN
app01-10111	6	9	of	of	ADP
app01-10111	6	10	bars	bar	NOUN
app01-10111	6	11	,	,	PUNCT
app01-10111	6	12	resulting	result	VERB
app01-10111	6	13	in	in	ADP
app01-10111	6	14	a	a	DET
app01-10111	6	15	localized	localized	ADJ
app01-10111	6	16	orthotropic	orthotropic	ADJ
app01-10111	6	17	material	material	NOUN
app01-10111	6	18	response	response	NOUN
app01-10111	6	19	at	at	ADP
app01-10111	6	20	overlapping	overlap	VERB
app01-10111	6	21	regions	region	NOUN
app01-10111	6	22	that	that	PRON
app01-10111	6	23	mitigates	mitigate	VERB
app01-10111	6	24	the	the	DET
app01-10111	6	25	transverse	transverse	ADJ
app01-10111	6	26	compliant	compliant	ADJ
app01-10111	6	27	response	response	NOUN
app01-10111	6	28	of	of	ADP
app01-10111	6	29	fiberreinforced	fiberreinforce	VERB
app01-10111	6	30	components	component	NOUN
app01-10111	6	31	.	.	PUNCT
app01-10111	7	1	the	the	DET
app01-10111	7	2	proposed	propose	VERB
app01-10111	7	3	method	method	NOUN
app01-10111	7	4	’s	’s	PART
app01-10111	7	5	effectiveness	effectiveness	NOUN
app01-10111	7	6	is	be	AUX
app01-10111	7	7	demonstrated	demonstrate	VERB
app01-10111	7	8	through	through	ADP
app01-10111	7	9	minimizing	minimize	VERB
app01-10111	7	10	the	the	DET
app01-10111	7	11	compliance	compliance	NOUN
app01-10111	7	12	of	of	ADP
app01-10111	7	13	the	the	DET
app01-10111	7	14	messerschmitt	messerschmitt	PROPN
app01-10111	7	15	-	-	PUNCT
app01-10111	7	16	bölkow	bölkow	NOUN
app01-10111	7	17	-	-	PUNCT
app01-10111	7	18	blohm	blohm	NOUN
app01-10111	7	19	beam	beam	NOUN
app01-10111	7	20	problem	problem	NOUN
app01-10111	7	21	,	,	PUNCT
app01-10111	7	22	a	a	DET
app01-10111	7	23	well	well	ADV
app01-10111	7	24	-	-	PUNCT
app01-10111	7	25	known	know	VERB
app01-10111	7	26	benchmark	benchmark	NOUN
app01-10111	7	27	problem	problem	NOUN
app01-10111	7	28	in	in	ADP
app01-10111	7	29	topology	topology	NOUN
app01-10111	7	30	optimization	optimization	NOUN
app01-10111	7	31	.	.	PUNCT
app01-10111	8	1	keywords	keyword	NOUN
app01-10111	8	2	:	:	PUNCT
app01-10111	8	3	topology	topology	NOUN
app01-10111	8	4	optimization	optimization	NOUN
app01-10111	8	5	,	,	PUNCT
app01-10111	8	6	geometry	geometry	NOUN
app01-10111	8	7	projection	projection	NOUN
app01-10111	8	8	,	,	PUNCT
app01-10111	8	9	continuous	continuous	ADJ
app01-10111	8	10	fiber	fiber	NOUN
app01-10111	8	11	-	-	PUNCT
app01-10111	8	12	reinforced	reinforce	VERB
app01-10111	8	13	polymers	polymer	NOUN
app01-10111	8	14	,	,	PUNCT
app01-10111	8	15	variablestiffness	variablestiffness	NOUN
app01-10111	8	16	laminates	laminate	NOUN
app01-10111	8	17	.	.	PUNCT
app01-10111	9	1	1	1	X
app01-10111	9	2	.	.	X
app01-10111	9	3	introduction	introduction	NOUN
app01-10111	9	4	our	our	PRON
app01-10111	9	5	study	study	NOUN
app01-10111	9	6	focuses	focus	VERB
app01-10111	9	7	on	on	ADP
app01-10111	9	8	developing	develop	VERB
app01-10111	9	9	and	and	CCONJ
app01-10111	9	10	optimizing	optimize	VERB
app01-10111	9	11	variable	variable	ADJ
app01-10111	9	12	-	-	PUNCT
app01-10111	9	13	stiffness	stiffness	NOUN
app01-10111	9	14	composite	composite	ADJ
app01-10111	9	15	laminates	laminate	NOUN
app01-10111	9	16	(	(	PUNCT
app01-10111	9	17	vscls	vscls	NOUN
app01-10111	9	18	)	)	PUNCT
app01-10111	9	19	that	that	PRON
app01-10111	9	20	can	can	AUX
app01-10111	9	21	be	be	AUX
app01-10111	9	22	produced	produce	VERB
app01-10111	9	23	using	use	VERB
app01-10111	9	24	additive	additive	ADJ
app01-10111	9	25	manufacturing	manufacturing	NOUN
app01-10111	9	26	.	.	PUNCT
app01-10111	10	1	these	these	DET
app01-10111	10	2	vscls	vscls	NOUN
app01-10111	10	3	consist	consist	VERB
app01-10111	10	4	of	of	ADP
app01-10111	10	5	layers	layer	NOUN
app01-10111	10	6	with	with	ADP
app01-10111	10	7	different	different	ADJ
app01-10111	10	8	orientations	orientation	NOUN
app01-10111	10	9	of	of	ADP
app01-10111	10	10	fibers	fiber	NOUN
app01-10111	10	11	,	,	PUNCT
app01-10111	10	12	which	which	PRON
app01-10111	10	13	are	be	AUX
app01-10111	10	14	customized	customize	VERB
app01-10111	10	15	to	to	PART
app01-10111	10	16	achieve	achieve	VERB
app01-10111	10	17	specific	specific	ADJ
app01-10111	10	18	mechanical	mechanical	ADJ
app01-10111	10	19	properties	property	NOUN
app01-10111	10	20	,	,	PUNCT
app01-10111	10	21	such	such	ADJ
app01-10111	10	22	as	as	ADP
app01-10111	10	23	maximizing	maximize	VERB
app01-10111	10	24	the	the	DET
app01-10111	10	25	stiffness	stiffness	NOUN
app01-10111	10	26	-	-	PUNCT
app01-10111	10	27	to	to	ADP
app01-10111	10	28	-	-	PUNCT
app01-10111	10	29	weight	weight	NOUN
app01-10111	10	30	ratio	ratio	NOUN
app01-10111	10	31	.	.	PUNCT
app01-10111	11	1	designing	design	VERB
app01-10111	11	2	vscls	vscls	NOUN
app01-10111	11	3	involves	involve	VERB
app01-10111	11	4	considering	consider	VERB
app01-10111	11	5	various	various	ADJ
app01-10111	11	6	factors	factor	NOUN
app01-10111	11	7	,	,	PUNCT
app01-10111	11	8	including	include	VERB
app01-10111	11	9	fiber	fiber	NOUN
app01-10111	11	10	orientation	orientation	NOUN
app01-10111	11	11	,	,	PUNCT
app01-10111	11	12	stacking	stack	VERB
app01-10111	11	13	order	order	NOUN
app01-10111	11	14	,	,	PUNCT
app01-10111	11	15	and	and	CCONJ
app01-10111	11	16	layer	layer	NOUN
app01-10111	11	17	thickness	thickness	NOUN
app01-10111	11	18	.	.	PUNCT
app01-10111	12	1	unlike	unlike	ADP
app01-10111	12	2	constant	constant	ADJ
app01-10111	12	3	stiffness	stiffness	NOUN
app01-10111	12	4	composites	composite	NOUN
app01-10111	13	1	[	[	X
app01-10111	13	2	1	1	NUM
app01-10111	13	3	]	]	PUNCT
app01-10111	13	4	,	,	PUNCT
app01-10111	13	5	optimizing	optimize	VERB
app01-10111	13	6	vscls	vscls	NOUN
app01-10111	13	7	,	,	PUNCT
app01-10111	13	8	as	as	SCONJ
app01-10111	13	9	discussed	discuss	VERB
app01-10111	13	10	elsewhere	elsewhere	ADV
app01-10111	13	11	[	[	X
app01-10111	13	12	2	2	NUM
app01-10111	13	13	]	]	PUNCT
app01-10111	13	14	,	,	PUNCT
app01-10111	13	15	is	be	AUX
app01-10111	13	16	challenging	challenge	VERB
app01-10111	13	17	due	due	ADJ
app01-10111	13	18	to	to	ADP
app01-10111	13	19	the	the	DET
app01-10111	13	20	absence	absence	NOUN
app01-10111	13	21	of	of	ADP
app01-10111	13	22	analytical	analytical	ADJ
app01-10111	13	23	formulations	formulation	NOUN
app01-10111	13	24	.	.	PUNCT
app01-10111	14	1	therefore	therefore	ADV
app01-10111	14	2	,	,	PUNCT
app01-10111	14	3	designing	design	VERB
app01-10111	14	4	vscls	vscls	NOUN
app01-10111	14	5	necessitate	necessitate	ADJ
app01-10111	14	6	the	the	DET
app01-10111	14	7	use	use	NOUN
app01-10111	14	8	of	of	ADP
app01-10111	14	9	discretization	discretization	NOUN
app01-10111	14	10	methods	method	NOUN
app01-10111	14	11	,	,	PUNCT
app01-10111	14	12	such	such	ADJ
app01-10111	14	13	as	as	ADP
app01-10111	14	14	the	the	DET
app01-10111	14	15	finite	finite	ADJ
app01-10111	14	16	element	element	NOUN
app01-10111	14	17	method	method	NOUN
app01-10111	14	18	(	(	PUNCT
app01-10111	14	19	fem	fem	PROPN
app01-10111	14	20	)	)	PUNCT
app01-10111	14	21	,	,	PUNCT
app01-10111	14	22	to	to	PART
app01-10111	14	23	represent	represent	VERB
app01-10111	14	24	variations	variation	NOUN
app01-10111	14	25	in	in	ADP
app01-10111	14	26	material	material	ADJ
app01-10111	14	27	constituents	constituent	NOUN
app01-10111	14	28	.	.	PUNCT
app01-10111	15	1	this	this	PRON
app01-10111	15	2	leads	lead	VERB
app01-10111	15	3	to	to	ADP
app01-10111	15	4	increased	increase	VERB
app01-10111	15	5	design	design	NOUN
app01-10111	15	6	variables	variable	NOUN
app01-10111	15	7	,	,	PUNCT
app01-10111	15	8	making	make	VERB
app01-10111	15	9	the	the	DET
app01-10111	15	10	optimization	optimization	NOUN
app01-10111	15	11	process	process	NOUN
app01-10111	15	12	computationally	computationally	ADV
app01-10111	15	13	intensive	intensive	ADJ
app01-10111	15	14	.	.	PUNCT
app01-10111	16	1	as	as	ADP
app01-10111	16	2	a	a	DET
app01-10111	16	3	result	result	NOUN
app01-10111	16	4	,	,	PUNCT
app01-10111	16	5	computational	computational	ADJ
app01-10111	16	6	design	design	NOUN
app01-10111	16	7	tools	tool	NOUN
app01-10111	16	8	like	like	ADP
app01-10111	16	9	topology	topology	NOUN
app01-10111	16	10	optimization	optimization	NOUN
app01-10111	16	11	(	(	PUNCT
app01-10111	16	12	to	to	PART
app01-10111	16	13	)	)	PUNCT
app01-10111	16	14	have	have	AUX
app01-10111	16	15	become	become	VERB
app01-10111	16	16	crucial	crucial	ADJ
app01-10111	16	17	for	for	ADP
app01-10111	16	18	achieving	achieve	VERB
app01-10111	16	19	the	the	DET
app01-10111	16	20	desired	desire	VERB
app01-10111	16	21	mechanical	mechanical	ADJ
app01-10111	16	22	performance	performance	NOUN
app01-10111	16	23	.	.	PUNCT
app01-10111	17	1	these	these	DET
app01-10111	17	2	tools	tool	NOUN
app01-10111	17	3	can	can	AUX
app01-10111	17	4	also	also	ADV
app01-10111	17	5	accommodate	accommodate	VERB
app01-10111	17	6	modifications	modification	NOUN
app01-10111	17	7	resulting	result	VERB
app01-10111	17	8	from	from	ADP
app01-10111	17	9	advanced	advanced	ADJ
app01-10111	17	10	manufacturing	manufacturing	NOUN
app01-10111	17	11	processes	process	NOUN
app01-10111	17	12	[	[	X
app01-10111	17	13	3	3	NUM
app01-10111	17	14	]	]	X
app01-10111	17	15	,	,	PUNCT
app01-10111	17	16	such	such	ADJ
app01-10111	17	17	as	as	ADP
app01-10111	17	18	continuous	continuous	ADJ
app01-10111	17	19	fiber	fiber	NOUN
app01-10111	17	20	-	-	PUNCT
app01-10111	17	21	fused	fuse	VERB
app01-10111	17	22	filament	filament	NOUN
app01-10111	17	23	fabrication	fabrication	NOUN
app01-10111	17	24	(	(	PUNCT
app01-10111	17	25	cf4	cf4	PROPN
app01-10111	17	26	)	)	PUNCT
app01-10111	17	27	.	.	PUNCT
app01-10111	18	1	topology	topology	NOUN
app01-10111	18	2	optimization	optimization	NOUN
app01-10111	18	3	(	(	PUNCT
app01-10111	18	4	to	to	PART
app01-10111	18	5	)	)	PUNCT
app01-10111	18	6	is	be	AUX
app01-10111	18	7	an	an	DET
app01-10111	18	8	iterative	iterative	NOUN
app01-10111	18	9	process	process	NOUN
app01-10111	18	10	for	for	ADP
app01-10111	18	11	finding	find	VERB
app01-10111	18	12	the	the	DET
app01-10111	18	13	optimal	optimal	ADJ
app01-10111	18	14	material	material	NOUN
app01-10111	18	15	distribution	distribution	NOUN
app01-10111	18	16	in	in	ADP
app01-10111	18	17	a	a	DET
app01-10111	18	18	design	design	NOUN
app01-10111	18	19	domain	domain	NOUN
app01-10111	18	20	,	,	PUNCT
app01-10111	18	21	minimizing	minimize	VERB
app01-10111	18	22	an	an	DET
app01-10111	18	23	objective	objective	ADJ
app01-10111	18	24	function	function	NOUN
app01-10111	18	25	under	under	ADP
app01-10111	18	26	constraints	constraint	NOUN
app01-10111	18	27	.	.	PUNCT
app01-10111	19	1	various	various	ADJ
app01-10111	19	2	methods	method	NOUN
app01-10111	19	3	include	include	VERB
app01-10111	19	4	homogenization	homogenization	NOUN
app01-10111	19	5	,	,	PUNCT
app01-10111	19	6	solid	solid	ADJ
app01-10111	19	7	isotropic	isotropic	ADJ
app01-10111	19	8	material	material	NOUN
app01-10111	19	9	with	with	ADP
app01-10111	19	10	penalization	penalization	NOUN
app01-10111	19	11	(	(	PUNCT
app01-10111	19	12	simp	simp	ADJ
app01-10111	19	13	)	)	PUNCT
app01-10111	20	1	[	[	X
app01-10111	20	2	4	4	NUM
app01-10111	20	3	]	]	PUNCT
app01-10111	20	4	,	,	PUNCT
app01-10111	20	5	level	level	NOUN
app01-10111	20	6	-	-	PUNCT
app01-10111	20	7	set	set	NOUN
app01-10111	20	8	[	[	X
app01-10111	20	9	5	5	NUM
app01-10111	20	10	]	]	PUNCT
app01-10111	20	11	,	,	PUNCT
app01-10111	20	12	evolutionary	evolutionary	ADJ
app01-10111	20	13	structural	structural	ADJ
app01-10111	20	14	optimization	optimization	NOUN
app01-10111	20	15	,	,	PUNCT
app01-10111	20	16	phase	phase	NOUN
app01-10111	20	17	field	field	NOUN
app01-10111	20	18	,	,	PUNCT
app01-10111	20	19	and	and	CCONJ
app01-10111	20	20	feature	feature	VERB
app01-10111	20	21	mapping	mapping	NOUN
app01-10111	20	22	[	[	X
app01-10111	20	23	6	6	NUM
app01-10111	20	24	]	]	PUNCT
app01-10111	20	25	.	.	PUNCT
app01-10111	21	1	details	detail	NOUN
app01-10111	21	2	on	on	ADP
app01-10111	21	3	these	these	DET
app01-10111	21	4	approaches	approach	NOUN
app01-10111	21	5	have	have	AUX
app01-10111	21	6	been	be	AUX
app01-10111	21	7	reviewed	review	VERB
app01-10111	21	8	elsewhere	elsewhere	ADV
app01-10111	21	9	[	[	X
app01-10111	21	10	7	7	NUM
app01-10111	21	11	,	,	PUNCT
app01-10111	21	12	8	8	NUM
app01-10111	21	13	]	]	PUNCT
app01-10111	21	14	.	.	PUNCT
app01-10111	22	1	various	various	ADJ
app01-10111	22	2	techniques	technique	NOUN
app01-10111	22	3	have	have	AUX
app01-10111	22	4	also	also	ADV
app01-10111	22	5	been	be	AUX
app01-10111	22	6	advanced	advanced	ADJ
app01-10111	22	7	to	to	PART
app01-10111	22	8	determine	determine	VERB
app01-10111	22	9	the	the	DET
app01-10111	22	10	optimal	optimal	ADJ
app01-10111	22	11	distribution	distribution	NOUN
app01-10111	22	12	of	of	ADP
app01-10111	22	13	fiber	fiber	NOUN
app01-10111	22	14	orientations	orientation	NOUN
app01-10111	22	15	within	within	ADP
app01-10111	22	16	the	the	DET
app01-10111	22	17	design	design	NOUN
app01-10111	22	18	domain	domain	NOUN
app01-10111	22	19	,	,	PUNCT
app01-10111	22	20	as	as	SCONJ
app01-10111	22	21	reviewed	review	VERB
app01-10111	22	22	elsewhere	elsewhere	ADV
app01-10111	22	23	[	[	X
app01-10111	22	24	9	9	NUM
app01-10111	22	25	]	]	PUNCT
app01-10111	22	26	.	.	PUNCT
app01-10111	23	1	in	in	ADP
app01-10111	23	2	this	this	DET
app01-10111	23	3	paper	paper	NOUN
app01-10111	23	4	,	,	PUNCT
app01-10111	23	5	a	a	DET
app01-10111	23	6	geometry	geometry	NOUN
app01-10111	23	7	projection	projection	NOUN
app01-10111	23	8	(	(	PUNCT
app01-10111	23	9	gp	gp	NOUN
app01-10111	23	10	)	)	PUNCT
app01-10111	23	11	based	base	VERB
app01-10111	23	12	[	[	X
app01-10111	23	13	10	10	NUM
app01-10111	23	14	]	]	PUNCT
app01-10111	23	15	procedure	procedure	NOUN
app01-10111	23	16	is	be	AUX
app01-10111	23	17	formulated	formulate	VERB
app01-10111	23	18	to	to	PART
app01-10111	23	19	enable	enable	VERB
app01-10111	23	20	the	the	DET
app01-10111	23	21	design	design	NOUN
app01-10111	23	22	of	of	ADP
app01-10111	23	23	vscls	vscls	NOUN
app01-10111	23	24	.	.	PUNCT
app01-10111	24	1	while	while	SCONJ
app01-10111	24	2	using	use	VERB
app01-10111	24	3	fiber	fiber	NOUN
app01-10111	24	4	-	-	PUNCT
app01-10111	24	5	reinforced	reinforce	VERB
app01-10111	24	6	bars	bar	NOUN
app01-10111	24	7	(	(	PUNCT
app01-10111	24	8	frbs	frb	NOUN
app01-10111	24	9	)	)	PUNCT
app01-10111	24	10	as	as	ADP
app01-10111	24	11	features	feature	NOUN
app01-10111	24	12	,	,	PUNCT
app01-10111	24	13	we	we	PRON
app01-10111	24	14	modify	modify	VERB
app01-10111	24	15	the	the	DET
app01-10111	24	16	gp	gp	NOUN
app01-10111	24	17	methodology	methodology	NOUN
app01-10111	24	18	in	in	ADP
app01-10111	24	19	multiple	multiple	ADJ
app01-10111	24	20	ways	way	NOUN
app01-10111	24	21	.	.	PUNCT
app01-10111	25	1	initially	initially	ADV
app01-10111	25	2	,	,	PUNCT
app01-10111	25	3	we	we	PRON
app01-10111	25	4	leverage	leverage	VERB
app01-10111	25	5	the	the	DET
app01-10111	25	6	dual	dual	ADJ
app01-10111	25	7	nature	nature	NOUN
app01-10111	25	8	of	of	ADP
app01-10111	25	9	the	the	DET
app01-10111	25	10	geometry	geometry	NOUN
app01-10111	25	11	projection	projection	NOUN
app01-10111	25	12	method	method	NOUN
app01-10111	25	13	to	to	PART
app01-10111	25	14	define	define	VERB
app01-10111	25	15	overlapping	overlap	VERB
app01-10111	25	16	frbs	frb	NOUN
app01-10111	25	17	in	in	ADP
app01-10111	25	18	the	the	DET
app01-10111	25	19	design	design	NOUN
app01-10111	25	20	domain	domain	NOUN
app01-10111	25	21	.	.	PUNCT
app01-10111	26	1	these	these	DET
app01-10111	26	2	overlapping	overlap	VERB
app01-10111	26	3	frbs	frb	NOUN
app01-10111	26	4	are	be	AUX
app01-10111	26	5	then	then	ADV
app01-10111	26	6	retained	retain	VERB
app01-10111	26	7	and	and	CCONJ
app01-10111	26	8	modeled	model	VERB
app01-10111	26	9	using	use	VERB
app01-10111	26	10	composite	composite	ADJ
app01-10111	26	11	laminate	laminate	NOUN
app01-10111	26	12	theory	theory	NOUN
app01-10111	26	13	to	to	PART
app01-10111	26	14	calculate	calculate	VERB
app01-10111	26	15	homogenized	homogenized	ADJ
app01-10111	26	16	stiffness	stiffness	ADJ
app01-10111	26	17	matrices	matrix	NOUN
app01-10111	26	18	,	,	PUNCT
app01-10111	26	19	resulting	result	VERB
app01-10111	26	20	in	in	ADP
app01-10111	26	21	a	a	DET
app01-10111	26	22	local	local	ADJ
app01-10111	26	23	orthotropic	orthotropic	ADJ
app01-10111	26	24	material	material	NOUN
app01-10111	26	25	response	response	NOUN
app01-10111	26	26	.	.	PUNCT
app01-10111	27	1	additionally	additionally	ADV
app01-10111	27	2	,	,	PUNCT
app01-10111	27	3	forming	form	VERB
app01-10111	27	4	overlapping	overlap	VERB
app01-10111	27	5	frbs	frb	NOUN
app01-10111	27	6	in	in	ADP
app01-10111	27	7	the	the	DET
app01-10111	27	8	design	design	NOUN
app01-10111	27	9	domain	domain	NOUN
app01-10111	27	10	reduces	reduce	VERB
app01-10111	27	11	the	the	DET
app01-10111	27	12	high	high	ADJ
app01-10111	27	13	strain	strain	NOUN
app01-10111	27	14	energy	energy	NOUN
app01-10111	27	15	density	density	NOUN
app01-10111	27	16	at	at	ADP
app01-10111	27	17	intersecting	intersect	VERB
app01-10111	27	18	load	load	NOUN
app01-10111	27	19	paths	path	NOUN
app01-10111	27	20	,	,	PUNCT
app01-10111	27	21	which	which	PRON
app01-10111	27	22	is	be	AUX
app01-10111	27	23	further	far	ADV
app01-10111	27	24	amiable	amiable	ADJ
app01-10111	27	25	for	for	ADP
app01-10111	27	26	optimization	optimization	NOUN
app01-10111	27	27	.	.	PUNCT
app01-10111	28	1	the	the	DET
app01-10111	28	2	component	component	NOUN
app01-10111	28	3	-	-	PUNCT
app01-10111	28	4	wise	wise	ADJ
app01-10111	28	5	gp	gp	NOUN
app01-10111	28	6	formulation	formulation	NOUN
app01-10111	28	7	enables	enable	VERB
app01-10111	28	8	the	the	DET
app01-10111	28	9	seamless	seamless	ADJ
app01-10111	28	10	printing	printing	NOUN
app01-10111	28	11	of	of	ADP
app01-10111	28	12	vscls	vscls	NOUN
app01-10111	28	13	with	with	ADP
app01-10111	28	14	the	the	DET
app01-10111	28	15	clear	clear	ADJ
app01-10111	28	16	manifestation	manifestation	NOUN
app01-10111	28	17	of	of	ADP
app01-10111	28	18	overlapping	overlap	VERB
app01-10111	28	19	components	component	NOUN
app01-10111	28	20	.	.	PUNCT
app01-10111	29	1	nonetheless	nonetheless	ADV
app01-10111	29	2	,	,	PUNCT
app01-10111	29	3	the	the	DET
app01-10111	29	4	proposed	propose	VERB
app01-10111	29	5	method	method	NOUN
app01-10111	29	6	to	to	PART
app01-10111	29	7	design	design	VERB
app01-10111	29	8	vscls	vscls	NOUN
app01-10111	29	9	is	be	AUX
app01-10111	29	10	limited	limit	VERB
app01-10111	29	11	to	to	ADP
app01-10111	29	12	a	a	DET
app01-10111	29	13	single	single	ADJ
app01-10111	29	14	layer	layer	NOUN
app01-10111	29	15	,	,	PUNCT
app01-10111	29	16	which	which	PRON
app01-10111	29	17	we	we	PRON
app01-10111	29	18	call	call	VERB
app01-10111	29	19	gp	gp	NOUN
app01-10111	29	20	-	-	PUNCT
app01-10111	29	21	am	am	NOUN
app01-10111	29	22	.	.	PUNCT
app01-10111	30	1	22	22	NUM
app01-10111	30	2	https://doi.org/10.14311/app.2024.48.0022	https://doi.org/10.14311/app.2024.48.0022	NOUN
app01-10111	30	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-10111	30	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-10111	30	5	vol	vol	NOUN
app01-10111	30	6	.	.	PUNCT
app01-10111	31	1	48/2024	48/2024	NUM
app01-10111	31	2	gp	gp	NOUN
app01-10111	31	3	-	-	PUNCT
app01-10111	31	4	am	be	AUX
app01-10111	31	5	2	2	NUM
app01-10111	31	6	.	.	PUNCT
app01-10111	31	7	geometry	geometry	NOUN
app01-10111	31	8	projection	projection	NOUN
app01-10111	31	9	formulation	formulation	NOUN
app01-10111	31	10	for	for	ADP
app01-10111	31	11	variable	variable	ADJ
app01-10111	31	12	-	-	PUNCT
app01-10111	31	13	stiffness	stiffness	NOUN
app01-10111	31	14	composite	composite	ADJ
app01-10111	31	15	laminates	laminate	NOUN
app01-10111	31	16	the	the	DET
app01-10111	31	17	gp	gp	NOUN
app01-10111	31	18	procedure	procedure	NOUN
app01-10111	31	19	begins	begin	VERB
app01-10111	31	20	by	by	ADP
app01-10111	31	21	mapping	map	VERB
app01-10111	31	22	the	the	DET
app01-10111	31	23	design	design	NOUN
app01-10111	31	24	variables	variable	NOUN
app01-10111	31	25	of	of	ADP
app01-10111	31	26	the	the	DET
app01-10111	31	27	bar	bar	NOUN
app01-10111	31	28	to	to	ADP
app01-10111	31	29	a	a	DET
app01-10111	31	30	density	density	NOUN
app01-10111	31	31	field	field	NOUN
app01-10111	31	32	ρb	ρb	PART
app01-10111	31	33	(	(	PUNCT
app01-10111	31	34	x	x	NOUN
app01-10111	31	35	;	;	PUNCT
app01-10111	31	36	zb	zb	X
app01-10111	31	37	)	)	PUNCT
app01-10111	31	38	,	,	PUNCT
app01-10111	31	39	where	where	SCONJ
app01-10111	31	40	x	x	PRON
app01-10111	31	41	represents	represent	VERB
app01-10111	31	42	any	any	DET
app01-10111	31	43	point	point	NOUN
app01-10111	31	44	in	in	ADP
app01-10111	31	45	the	the	DET
app01-10111	31	46	design	design	NOUN
app01-10111	31	47	region	region	NOUN
app01-10111	31	48	.	.	PUNCT
app01-10111	32	1	the	the	DET
app01-10111	32	2	dual	dual	ADJ
app01-10111	32	3	geometric	geometric	ADJ
app01-10111	32	4	parameters	parameter	NOUN
app01-10111	32	5	/	/	SYM
app01-10111	32	6	density	density	NOUN
app01-10111	32	7	representation	representation	NOUN
app01-10111	32	8	can	can	AUX
app01-10111	32	9	consider	consider	VERB
app01-10111	32	10	individual	individual	ADJ
app01-10111	32	11	bars	bar	NOUN
app01-10111	32	12	as	as	ADP
app01-10111	32	13	high	high	ADJ
app01-10111	32	14	-	-	PUNCT
app01-10111	32	15	level	level	NOUN
app01-10111	32	16	geometric	geometric	ADJ
app01-10111	32	17	objects	object	NOUN
app01-10111	32	18	or	or	CCONJ
app01-10111	32	19	field	field	NOUN
app01-10111	32	20	variables	variable	NOUN
app01-10111	32	21	in	in	ADP
app01-10111	32	22	component	component	NOUN
app01-10111	32	23	densities	density	NOUN
app01-10111	32	24	.	.	PUNCT
app01-10111	33	1	the	the	DET
app01-10111	33	2	design	design	NOUN
app01-10111	33	3	in	in	ADP
app01-10111	33	4	this	this	DET
app01-10111	33	5	work	work	NOUN
app01-10111	33	6	involves	involve	VERB
app01-10111	33	7	the	the	DET
app01-10111	33	8	combination	combination	NOUN
app01-10111	33	9	of	of	ADP
app01-10111	33	10	multiple	multiple	ADJ
app01-10111	33	11	frbs	frb	NOUN
app01-10111	33	12	.	.	PUNCT
app01-10111	34	1	each	each	DET
app01-10111	34	2	bar	bar	NOUN
app01-10111	34	3	b	b	PROPN
app01-10111	34	4	∈	∈	PROPN
app01-10111	34	5	b	b	PROPN
app01-10111	34	6	,	,	PUNCT
app01-10111	34	7	where	where	SCONJ
app01-10111	34	8	b	b	NOUN
app01-10111	34	9	denotes	denote	VERB
app01-10111	34	10	the	the	DET
app01-10111	34	11	set	set	NOUN
app01-10111	34	12	of	of	ADP
app01-10111	34	13	all	all	DET
app01-10111	34	14	bar	bar	NOUN
app01-10111	34	15	indices	index	NOUN
app01-10111	34	16	,	,	PUNCT
app01-10111	34	17	is	be	AUX
app01-10111	34	18	represented	represent	VERB
app01-10111	34	19	as	as	ADP
app01-10111	34	20	a	a	DET
app01-10111	34	21	rectangle	rectangle	NOUN
app01-10111	34	22	with	with	ADP
app01-10111	34	23	semicircular	semicircular	ADJ
app01-10111	34	24	caps	cap	NOUN
app01-10111	34	25	whose	whose	DET
app01-10111	34	26	medial	medial	ADJ
app01-10111	34	27	axis	axis	NOUN
app01-10111	34	28	is	be	AUX
app01-10111	34	29	a	a	DET
app01-10111	34	30	line	line	NOUN
app01-10111	34	31	segment	segment	NOUN
app01-10111	34	32	,	,	PUNCT
app01-10111	34	33	which	which	PRON
app01-10111	34	34	occupies	occupy	VERB
app01-10111	34	35	a	a	DET
app01-10111	34	36	region	region	NOUN
app01-10111	34	37	ωb	ωb	ADP
app01-10111	34	38	∈	∈	PROPN
app01-10111	34	39	r2	r2	NOUN
app01-10111	34	40	.	.	PUNCT
app01-10111	35	1	the	the	DET
app01-10111	35	2	medial	medial	ADJ
app01-10111	35	3	axis	axis	NOUN
app01-10111	35	4	is	be	AUX
app01-10111	35	5	characterized	characterize	VERB
app01-10111	35	6	by	by	ADP
app01-10111	35	7	its	its	PRON
app01-10111	35	8	two	two	NUM
app01-10111	35	9	endpoints	endpoint	NOUN
app01-10111	35	10	(	(	PUNCT
app01-10111	35	11	x1b	x1b	PROPN
app01-10111	35	12	,	,	PUNCT
app01-10111	35	13	x2b	x2b	PROPN
app01-10111	35	14	)	)	PUNCT
app01-10111	35	15	,	,	PUNCT
app01-10111	35	16	and	and	CCONJ
app01-10111	35	17	the	the	DET
app01-10111	35	18	offset	offset	VERB
app01-10111	35	19	distance	distance	NOUN
app01-10111	35	20	corresponds	correspond	VERB
app01-10111	35	21	to	to	ADP
app01-10111	35	22	the	the	DET
app01-10111	35	23	radius	radius	NOUN
app01-10111	35	24	rb	rb	NOUN
app01-10111	35	25	of	of	ADP
app01-10111	35	26	the	the	DET
app01-10111	35	27	bar	bar	NOUN
app01-10111	35	28	.	.	PUNCT
app01-10111	36	1	a	a	DET
app01-10111	36	2	membership	membership	NOUN
app01-10111	36	3	variable	variable	NOUN
app01-10111	36	4	αb	αb	ADP
app01-10111	36	5	∈	∈	PROPN
app01-10111	37	1	[	[	X
app01-10111	37	2	0	0	NUM
app01-10111	37	3	,	,	PUNCT
app01-10111	37	4	1	1	NUM
app01-10111	37	5	]	]	PUNCT
app01-10111	37	6	is	be	AUX
app01-10111	37	7	assigned	assign	VERB
app01-10111	37	8	to	to	ADP
app01-10111	37	9	each	each	DET
app01-10111	37	10	bar	bar	NOUN
app01-10111	37	11	and	and	CCONJ
app01-10111	37	12	penalized	penalize	VERB
app01-10111	37	13	similarly	similarly	ADV
app01-10111	37	14	to	to	ADP
app01-10111	37	15	density	density	NOUN
app01-10111	37	16	-	-	PUNCT
app01-10111	37	17	based	base	VERB
app01-10111	37	18	methods	method	NOUN
app01-10111	37	19	,	,	PUNCT
app01-10111	37	20	allowing	allow	VERB
app01-10111	37	21	the	the	DET
app01-10111	37	22	optimizer	optimizer	NOUN
app01-10111	37	23	to	to	PART
app01-10111	37	24	remove	remove	VERB
app01-10111	37	25	or	or	CCONJ
app01-10111	37	26	include	include	VERB
app01-10111	37	27	it	it	PRON
app01-10111	37	28	in	in	ADP
app01-10111	37	29	the	the	DET
app01-10111	37	30	design	design	NOUN
app01-10111	37	31	.	.	PUNCT
app01-10111	38	1	the	the	DET
app01-10111	38	2	design	design	NOUN
app01-10111	38	3	variable	variable	ADJ
app01-10111	38	4	vector	vector	NOUN
app01-10111	38	5	zb	zb	X
app01-10111	38	6	for	for	ADP
app01-10111	38	7	bar	bar	NOUN
app01-10111	38	8	b	b	PROPN
app01-10111	38	9	is	be	AUX
app01-10111	38	10	therefore	therefore	ADV
app01-10111	38	11	expressed	express	VERB
app01-10111	38	12	as	as	ADP
app01-10111	38	13	:	:	PUNCT
app01-10111	38	14	zb	zb	X
app01-10111	38	15	:	:	PUNCT
app01-10111	38	16	=	=	SYM
app01-10111	38	17	(	(	PUNCT
app01-10111	38	18	x1b	x1b	PROPN
app01-10111	38	19	,	,	PUNCT
app01-10111	38	20	x2b	x2b	PROPN
app01-10111	38	21	,	,	PUNCT
app01-10111	38	22	rb	rb	NOUN
app01-10111	38	23	,	,	PUNCT
app01-10111	38	24	αb	αb	NOUN
app01-10111	38	25	)	)	PUNCT
app01-10111	38	26	.	.	PUNCT
app01-10111	39	1	(	(	PUNCT
app01-10111	39	2	1	1	X
app01-10111	39	3	)	)	PUNCT
app01-10111	39	4	the	the	DET
app01-10111	39	5	projected	project	VERB
app01-10111	39	6	density	density	NOUN
app01-10111	39	7	at	at	ADP
app01-10111	39	8	a	a	DET
app01-10111	39	9	location	location	NOUN
app01-10111	39	10	x	x	PUNCT
app01-10111	39	11	is	be	AUX
app01-10111	39	12	determined	determine	VERB
app01-10111	39	13	by	by	ADP
app01-10111	39	14	the	the	DET
app01-10111	39	15	intersection	intersection	NOUN
app01-10111	39	16	of	of	ADP
app01-10111	39	17	a	a	DET
app01-10111	39	18	ball	ball	NOUN
app01-10111	39	19	with	with	ADP
app01-10111	39	20	a	a	DET
app01-10111	39	21	radius	radius	NOUN
app01-10111	39	22	r	r	NOUN
app01-10111	39	23	and	and	CCONJ
app01-10111	39	24	centered	center	VERB
app01-10111	39	25	at	at	ADP
app01-10111	39	26	x	x	PUNCT
app01-10111	39	27	with	with	ADP
app01-10111	39	28	ωb	ωb	NOUN
app01-10111	39	29	,	,	PUNCT
app01-10111	39	30	i.e.	i.e.	X
app01-10111	39	31	:	:	PUNCT
app01-10111	39	32	ρb(x	ρb(x	NUM
app01-10111	39	33	;	;	PUNCT
app01-10111	39	34	zb	zb	X
app01-10111	39	35	)	)	PUNCT
app01-10111	39	36	:	:	PUNCT
app01-10111	40	1	=	=	NUM
app01-10111	40	2	|br	|br	NUM
app01-10111	40	3	x	x	NOUN
app01-10111	40	4	∩	∩	ADJ
app01-10111	40	5	ωb	ωb	NOUN
app01-10111	40	6	(	(	PUNCT
app01-10111	40	7	zb)|	zb)|	PROPN
app01-10111	40	8	|br	|br	NUM
app01-10111	40	9	x|	x|	PROPN
app01-10111	40	10	.	.	PUNCT
app01-10111	41	1	(	(	PUNCT
app01-10111	41	2	2	2	X
app01-10111	41	3	)	)	PUNCT
app01-10111	41	4	in	in	ADP
app01-10111	41	5	2d	2d	NOUN
app01-10111	41	6	,	,	PUNCT
app01-10111	41	7	under	under	ADP
app01-10111	41	8	the	the	DET
app01-10111	41	9	assumption	assumption	NOUN
app01-10111	41	10	that	that	SCONJ
app01-10111	41	11	r	r	NOUN
app01-10111	41	12	is	be	AUX
app01-10111	41	13	significantly	significantly	ADV
app01-10111	41	14	smaller	small	ADJ
app01-10111	41	15	than	than	ADP
app01-10111	41	16	the	the	DET
app01-10111	41	17	dimensions	dimension	NOUN
app01-10111	41	18	of	of	ADP
app01-10111	41	19	the	the	DET
app01-10111	41	20	bar	bar	NOUN
app01-10111	41	21	,	,	PUNCT
app01-10111	41	22	the	the	DET
app01-10111	41	23	intersection	intersection	NOUN
app01-10111	41	24	of	of	ADP
app01-10111	41	25	br	br	NOUN
app01-10111	41	26	x	x	PUNCT
app01-10111	41	27	and	and	CCONJ
app01-10111	41	28	∂ωb	∂ωb	PROPN
app01-10111	41	29	can	can	AUX
app01-10111	41	30	be	be	AUX
app01-10111	41	31	approximated	approximate	VERB
app01-10111	41	32	as	as	ADP
app01-10111	41	33	a	a	DET
app01-10111	41	34	line	line	NOUN
app01-10111	41	35	segment	segment	NOUN
app01-10111	41	36	.	.	PUNCT
app01-10111	42	1	as	as	ADP
app01-10111	42	2	a	a	DET
app01-10111	42	3	result	result	NOUN
app01-10111	42	4	,	,	PUNCT
app01-10111	42	5	the	the	DET
app01-10111	42	6	proportion	proportion	NOUN
app01-10111	42	7	of	of	ADP
app01-10111	42	8	the	the	DET
app01-10111	42	9	projected	project	VERB
app01-10111	42	10	density	density	NOUN
app01-10111	42	11	can	can	AUX
app01-10111	42	12	be	be	AUX
app01-10111	42	13	determined	determine	VERB
app01-10111	42	14	by	by	ADP
app01-10111	42	15	calculating	calculate	VERB
app01-10111	42	16	the	the	DET
app01-10111	42	17	proportion	proportion	NOUN
app01-10111	42	18	of	of	ADP
app01-10111	42	19	the	the	DET
app01-10111	42	20	circular	circular	ADJ
app01-10111	42	21	segment	segment	NOUN
app01-10111	42	22	with	with	ADP
app01-10111	42	23	a	a	DET
app01-10111	42	24	height	height	NOUN
app01-10111	42	25	of	of	ADP
app01-10111	42	26	h	h	NOUN
app01-10111	43	1	=	=	NOUN
app01-10111	43	2	r	r	NOUN
app01-10111	43	3	−	−	NOUN
app01-10111	44	1	ϕb	ϕb	INTJ
app01-10111	44	2	,	,	PUNCT
app01-10111	44	3	where	where	SCONJ
app01-10111	44	4	ϕb	ϕb	ADV
app01-10111	44	5	represents	represent	VERB
app01-10111	44	6	the	the	DET
app01-10111	44	7	signed	sign	VERB
app01-10111	44	8	distance	distance	NOUN
app01-10111	44	9	from	from	ADP
app01-10111	44	10	x	x	PRON
app01-10111	44	11	to	to	ADP
app01-10111	44	12	∂ωb	∂ωb	PROPN
app01-10111	44	13	.	.	PUNCT
app01-10111	45	1	the	the	DET
app01-10111	45	2	projected	project	VERB
app01-10111	45	3	density	density	NOUN
app01-10111	45	4	for	for	ADP
app01-10111	45	5	bar	bar	NOUN
app01-10111	45	6	b	b	PROPN
app01-10111	45	7	is	be	AUX
app01-10111	45	8	a	a	DET
app01-10111	45	9	uniquely	uniquely	ADV
app01-10111	45	10	determined	determined	ADJ
app01-10111	45	11	function	function	NOUN
app01-10111	45	12	of	of	ADP
app01-10111	45	13	ϕb	ϕb	ADV
app01-10111	45	14	,	,	PUNCT
app01-10111	45	15	effectively	effectively	ADV
app01-10111	45	16	functioning	function	VERB
app01-10111	45	17	as	as	ADP
app01-10111	45	18	a	a	DET
app01-10111	45	19	regularized	regularize	VERB
app01-10111	45	20	heaviside	heaviside	ADJ
app01-10111	45	21	function	function	NOUN
app01-10111	45	22	:	:	PUNCT
app01-10111	45	23	ρb(x	ρb(x	NUM
app01-10111	45	24	;	;	PUNCT
app01-10111	45	25	zb	zb	X
app01-10111	45	26	)	)	PUNCT
app01-10111	45	27	:	:	PUNCT
app01-10111	46	1	=	=	SYM
app01-10111	46	2	h̃	h̃	PROPN
app01-10111	46	3	(	(	PUNCT
app01-10111	46	4	ϕb(x	ϕb(x	PROPN
app01-10111	46	5	;	;	PUNCT
app01-10111	46	6	zb	zb	X
app01-10111	46	7	)	)	PUNCT
app01-10111	46	8	r	r	NOUN
app01-10111	46	9	)	)	PUNCT
app01-10111	46	10	.	.	PUNCT
app01-10111	47	1	(	(	PUNCT
app01-10111	47	2	3	3	X
app01-10111	47	3	)	)	PUNCT
app01-10111	47	4	the	the	DET
app01-10111	47	5	expression	expression	NOUN
app01-10111	47	6	for	for	ADP
app01-10111	47	7	h̃	h̃	PROPN
app01-10111	47	8	is	be	AUX
app01-10111	47	9	given	give	VERB
app01-10111	47	10	.	.	PUNCT
app01-10111	48	1	h̃(x	h̃(x	ADJ
app01-10111	48	2	)	)	PUNCT
app01-10111	48	3	=	=	SYM
app01-10111	49	1			NOUN
app01-10111	49	2	0	0	NUM
app01-10111	49	3	,	,	PUNCT
app01-10111	49	4	if	if	SCONJ
app01-10111	49	5	x	x	ADP
app01-10111	49	6	≤	≤	NUM
app01-10111	49	7	−1	−1	NOUN
app01-10111	49	8	1	1	NUM
app01-10111	49	9	+	+	SYM
app01-10111	49	10	1	1	NUM
app01-10111	49	11	π	π	NOUN
app01-10111	49	12	(	(	PUNCT
app01-10111	49	13	x	x	SYM
app01-10111	49	14	√	√	ADP
app01-10111	49	15	1	1	NUM
app01-10111	49	16	−	−	PROPN
app01-10111	49	17	x2	x2	CCONJ
app01-10111	49	18	−	−	PROPN
app01-10111	49	19	arccosx	arccosx	NOUN
app01-10111	49	20	)	)	PUNCT
app01-10111	49	21	,	,	PUNCT
app01-10111	49	22	if	if	SCONJ
app01-10111	49	23	|x|	|x|	PROPN
app01-10111	49	24	<	<	X
app01-10111	49	25	1	1	NUM
app01-10111	49	26	1	1	NUM
app01-10111	49	27	,	,	PUNCT
app01-10111	49	28	if	if	SCONJ
app01-10111	49	29	x	x	PRON
app01-10111	49	30	≥	≥	NUM
app01-10111	49	31	1	1	NUM
app01-10111	49	32	dh̃	dh̃	NOUN
app01-10111	49	33	dx	dx	PROPN
app01-10111	49	34	=	=	PUNCT
app01-10111	49	35	{	{	PUNCT
app01-10111	49	36	2	2	NUM
app01-10111	49	37	√	√	NUM
app01-10111	49	38	1	1	NUM
app01-10111	49	39	−	−	PROPN
app01-10111	49	40	x2	x2	PROPN
app01-10111	49	41	/	/	SYM
app01-10111	49	42	π	π	PROPN
app01-10111	49	43	,	,	PUNCT
app01-10111	49	44	if	if	SCONJ
app01-10111	49	45	|x|	|x|	PROPN
app01-10111	49	46	<	<	X
app01-10111	49	47	1	1	NUM
app01-10111	49	48	0	0	NUM
app01-10111	49	49	,	,	PUNCT
app01-10111	49	50	otherwise	otherwise	ADV
app01-10111	49	51	.	.	PUNCT
app01-10111	50	1	a	a	DET
app01-10111	50	2	penalized	penalize	VERB
app01-10111	50	3	density	density	NOUN
app01-10111	50	4	is	be	AUX
app01-10111	50	5	determined	determine	VERB
app01-10111	50	6	for	for	ADP
app01-10111	50	7	each	each	DET
app01-10111	50	8	bar	bar	NOUN
app01-10111	50	9	which	which	PRON
app01-10111	50	10	is	be	AUX
app01-10111	50	11	utilized	utilize	VERB
app01-10111	50	12	to	to	PART
app01-10111	50	13	compute	compute	VERB
app01-10111	50	14	its	its	PRON
app01-10111	50	15	elastic	elastic	ADJ
app01-10111	50	16	stiffness	stiffness	NOUN
app01-10111	50	17	tensor	tensor	NOUN
app01-10111	50	18	.	.	PUNCT
app01-10111	51	1	this	this	PRON
app01-10111	51	2	is	be	AUX
app01-10111	51	3	similar	similar	ADJ
app01-10111	51	4	to	to	ADP
app01-10111	51	5	the	the	DET
app01-10111	51	6	simp	simp	ADJ
app01-10111	51	7	technique	technique	NOUN
app01-10111	51	8	employed	employ	VERB
app01-10111	51	9	in	in	ADP
app01-10111	51	10	densitybased	densitybase	VERB
app01-10111	51	11	topology	topology	NOUN
app01-10111	51	12	optimization	optimization	NOUN
app01-10111	51	13	[	[	X
app01-10111	51	14	11	11	NUM
app01-10111	51	15	]	]	PUNCT
app01-10111	51	16	.	.	PUNCT
app01-10111	52	1	the	the	DET
app01-10111	52	2	penalized	penalize	VERB
app01-10111	52	3	density	density	NOUN
app01-10111	52	4	is	be	AUX
app01-10111	52	5	expressed	express	VERB
app01-10111	52	6	as	as	ADP
app01-10111	52	7	:	:	PUNCT
app01-10111	52	8	ρ̆eff	ρ̆eff	ADP
app01-10111	52	9	b	b	PROPN
app01-10111	52	10	(	(	PUNCT
app01-10111	52	11	x	x	NOUN
app01-10111	52	12	;	;	PUNCT
app01-10111	52	13	zb	zb	X
app01-10111	52	14	)	)	PUNCT
app01-10111	52	15	:	:	PUNCT
app01-10111	53	1	=	=	SYM
app01-10111	53	2	(	(	PUNCT
app01-10111	53	3	αbρb(x	αbρb(x	PROPN
app01-10111	53	4	;	;	PUNCT
app01-10111	53	5	zb))q	zb))q	PROPN
app01-10111	53	6	,	,	PUNCT
app01-10111	53	7	(	(	PUNCT
app01-10111	53	8	4	4	X
app01-10111	53	9	)	)	PUNCT
app01-10111	53	10	where	where	SCONJ
app01-10111	53	11	we	we	PRON
app01-10111	53	12	recall	recall	VERB
app01-10111	53	13	q	q	NOUN
app01-10111	53	14	is	be	AUX
app01-10111	53	15	the	the	DET
app01-10111	53	16	penalization	penalization	NOUN
app01-10111	53	17	factor	factor	NOUN
app01-10111	53	18	.	.	PUNCT
app01-10111	54	1	2.1	2.1	NUM
app01-10111	54	2	.	.	PUNCT
app01-10111	55	1	combining	combine	VERB
app01-10111	55	2	components	component	NOUN
app01-10111	55	3	eq	eq	ADP
app01-10111	55	4	.	.	PUNCT
app01-10111	56	1	(	(	PUNCT
app01-10111	56	2	2	2	X
app01-10111	56	3	)	)	PUNCT
app01-10111	56	4	pertains	pertain	VERB
app01-10111	56	5	to	to	ADP
app01-10111	56	6	the	the	DET
app01-10111	56	7	projection	projection	NOUN
app01-10111	56	8	of	of	ADP
app01-10111	56	9	a	a	DET
app01-10111	56	10	single	single	ADJ
app01-10111	56	11	bar	bar	NOUN
app01-10111	56	12	.	.	PUNCT
app01-10111	57	1	this	this	DET
app01-10111	57	2	study	study	NOUN
app01-10111	57	3	aims	aim	VERB
app01-10111	57	4	to	to	PART
app01-10111	57	5	focus	focus	VERB
app01-10111	57	6	on	on	ADP
app01-10111	57	7	continuous	continuous	ADJ
app01-10111	57	8	fiber	fiber	NOUN
app01-10111	57	9	reinforcement	reinforcement	NOUN
app01-10111	57	10	,	,	PUNCT
app01-10111	57	11	particularly	particularly	ADV
app01-10111	57	12	in	in	ADP
app01-10111	57	13	areas	area	NOUN
app01-10111	57	14	where	where	SCONJ
app01-10111	57	15	multiple	multiple	ADJ
app01-10111	57	16	reinforcements	reinforcement	NOUN
app01-10111	57	17	overlap	overlap	VERB
app01-10111	57	18	.	.	PUNCT
app01-10111	58	1	this	this	PRON
app01-10111	58	2	requires	require	VERB
app01-10111	58	3	the	the	DET
app01-10111	58	4	material	material	NOUN
app01-10111	58	5	interpolation	interpolation	NOUN
app01-10111	58	6	to	to	PART
app01-10111	58	7	accurately	accurately	ADV
app01-10111	58	8	represent	represent	VERB
app01-10111	58	9	the	the	DET
app01-10111	58	10	stiffness	stiffness	NOUN
app01-10111	58	11	that	that	PRON
app01-10111	58	12	arises	arise	VERB
app01-10111	58	13	from	from	ADP
app01-10111	58	14	overlapping	overlap	VERB
app01-10111	58	15	bars	bar	NOUN
app01-10111	58	16	.	.	PUNCT
app01-10111	59	1	a	a	DET
app01-10111	59	2	straightforward	straightforward	ADJ
app01-10111	59	3	approach	approach	NOUN
app01-10111	59	4	is	be	AUX
app01-10111	59	5	to	to	PART
app01-10111	59	6	compute	compute	VERB
app01-10111	59	7	the	the	DET
app01-10111	59	8	element	element	NOUN
app01-10111	59	9	’s	’s	PART
app01-10111	59	10	elasticity	elasticity	NOUN
app01-10111	59	11	tensor	tensor	NOUN
app01-10111	59	12	as	as	ADP
app01-10111	59	13	the	the	DET
app01-10111	59	14	sum	sum	NOUN
app01-10111	59	15	of	of	ADP
app01-10111	59	16	all	all	DET
app01-10111	59	17	elasticity	elasticity	NOUN
app01-10111	59	18	tensors	tensor	NOUN
app01-10111	59	19	:	:	PUNCT
app01-10111	60	1	ce	ce	PROPN
app01-10111	60	2	=	=	PROPN
app01-10111	60	3	cv	cv	PROPN
app01-10111	60	4	+	+	NUM
app01-10111	60	5	nb∑	nb∑	PROPN
app01-10111	60	6	b=1	b=1	PUNCT
app01-10111	60	7	ρ̆eff	ρ̆eff	ADP
app01-10111	60	8	be	be	AUX
app01-10111	60	9	(	(	PUNCT
app01-10111	60	10	cb	cb	PROPN
app01-10111	60	11	−	−	PROPN
app01-10111	60	12	cv	cv	PROPN
app01-10111	60	13	)	)	PUNCT
app01-10111	60	14	.	.	PUNCT
app01-10111	61	1	(	(	PUNCT
app01-10111	61	2	5	5	X
app01-10111	61	3	)	)	PUNCT
app01-10111	61	4	the	the	DET
app01-10111	61	5	elasticity	elasticity	NOUN
app01-10111	61	6	tensor	tensor	NOUN
app01-10111	61	7	interpolation	interpolation	NOUN
app01-10111	61	8	ce	ce	PROPN
app01-10111	61	9	given	give	VERB
app01-10111	61	10	by	by	ADP
app01-10111	61	11	(	(	PUNCT
app01-10111	61	12	5	5	NUM
app01-10111	61	13	)	)	PUNCT
app01-10111	61	14	can	can	AUX
app01-10111	61	15	be	be	AUX
app01-10111	61	16	used	use	VERB
app01-10111	61	17	to	to	PART
app01-10111	61	18	interpolate	interpolate	VERB
app01-10111	61	19	between	between	ADP
app01-10111	61	20	the	the	DET
app01-10111	61	21	solid	solid	ADJ
app01-10111	61	22	material	material	NOUN
app01-10111	61	23	(	(	PUNCT
app01-10111	61	24	bar	bar	NOUN
app01-10111	61	25	material	material	NOUN
app01-10111	61	26	cb	cb	PROPN
app01-10111	61	27	)	)	PUNCT
app01-10111	61	28	and	and	CCONJ
app01-10111	61	29	void	void	VERB
app01-10111	61	30	material	material	PROPN
app01-10111	61	31	cv	cv	PROPN
app01-10111	61	32	.	.	PROPN
app01-10111	61	33	2.2	2.2	NUM
app01-10111	61	34	.	.	PUNCT
app01-10111	62	1	elasticity	elasticity	NOUN
app01-10111	62	2	tensor	tensor	NOUN
app01-10111	62	3	for	for	ADP
app01-10111	62	4	overlapping	overlap	VERB
app01-10111	62	5	components	component	NOUN
app01-10111	62	6	the	the	DET
app01-10111	62	7	bar	bar	NOUN
app01-10111	62	8	’s	’s	PART
app01-10111	62	9	material	material	NOUN
app01-10111	62	10	coordinate	coordinate	NOUN
app01-10111	62	11	system	system	NOUN
app01-10111	62	12	(	(	PUNCT
app01-10111	62	13	mcs	mcs	PROPN
app01-10111	62	14	)	)	PUNCT
app01-10111	62	15	,	,	PUNCT
app01-10111	62	16	represented	represent	VERB
app01-10111	62	17	by	by	ADP
app01-10111	62	18	{	{	PUNCT
app01-10111	62	19	ê1b	ê1b	NUM
app01-10111	62	20	,	,	PUNCT
app01-10111	62	21	ê2b	ê2b	NUM
app01-10111	62	22	,	,	PUNCT
app01-10111	62	23	ê3b	ê3b	VERB
app01-10111	62	24	}	}	PUNCT
app01-10111	62	25	,	,	PUNCT
app01-10111	62	26	is	be	AUX
app01-10111	62	27	typically	typically	ADV
app01-10111	62	28	not	not	PART
app01-10111	62	29	the	the	DET
app01-10111	62	30	same	same	ADJ
app01-10111	62	31	as	as	ADP
app01-10111	62	32	the	the	DET
app01-10111	62	33	laminate	laminate	NOUN
app01-10111	62	34	coordinate	coordinate	NOUN
app01-10111	62	35	system	system	NOUN
app01-10111	62	36	(	(	PUNCT
app01-10111	62	37	lcs	lcs	PROPN
app01-10111	62	38	)	)	PUNCT
app01-10111	62	39	,	,	PUNCT
app01-10111	62	40	{	{	PUNCT
app01-10111	62	41	e1	e1	PROPN
app01-10111	62	42	,	,	PUNCT
app01-10111	62	43	e2	e2	PROPN
app01-10111	62	44	,	,	PUNCT
app01-10111	62	45	e3	e3	NOUN
app01-10111	62	46	}	}	PUNCT
app01-10111	62	47	.	.	PUNCT
app01-10111	63	1	we	we	PRON
app01-10111	63	2	assume	assume	VERB
app01-10111	63	3	that	that	SCONJ
app01-10111	63	4	the	the	DET
app01-10111	63	5	fiber	fiber	NOUN
app01-10111	63	6	reinforcement	reinforcement	NOUN
app01-10111	63	7	aligns	align	VERB
app01-10111	63	8	with	with	ADP
app01-10111	63	9	ê1b	ê1b	NUM
app01-10111	63	10	,	,	PUNCT
app01-10111	63	11	and	and	CCONJ
app01-10111	63	12	we	we	PRON
app01-10111	63	13	define	define	VERB
app01-10111	63	14	ê2b	ê2b	PRON
app01-10111	63	15	so	so	SCONJ
app01-10111	63	16	that	that	SCONJ
app01-10111	63	17	it	it	PRON
app01-10111	63	18	is	be	AUX
app01-10111	63	19	orthogonal	orthogonal	ADJ
app01-10111	63	20	to	to	PART
app01-10111	63	21	ê1b	ê1b	NUM
app01-10111	63	22	.	.	PUNCT
app01-10111	64	1	furthermore	furthermore	ADV
app01-10111	64	2	,	,	PUNCT
app01-10111	64	3	we	we	PRON
app01-10111	64	4	define	define	VERB
app01-10111	64	5	e3	e3	NOUN
app01-10111	64	6	=	=	SYM
app01-10111	64	7	ê1b	ê1b	NUM
app01-10111	64	8	×	×	NOUN
app01-10111	64	9	ê2b	ê2b	ADP
app01-10111	64	10	such	such	ADJ
app01-10111	64	11	that	that	SCONJ
app01-10111	64	12	it	it	PRON
app01-10111	64	13	corresponds	correspond	VERB
app01-10111	64	14	to	to	ADP
app01-10111	64	15	the	the	DET
app01-10111	64	16	global	global	ADJ
app01-10111	64	17	out	out	ADJ
app01-10111	64	18	-	-	PUNCT
app01-10111	64	19	of	of	ADP
app01-10111	64	20	-	-	PUNCT
app01-10111	64	21	plane	plane	NOUN
app01-10111	64	22	axis	axis	NOUN
app01-10111	64	23	.	.	PUNCT
app01-10111	65	1	for	for	ADP
app01-10111	65	2	plane	plane	NOUN
app01-10111	65	3	stress	stress	NOUN
app01-10111	65	4	of	of	ADP
app01-10111	65	5	the	the	DET
app01-10111	65	6	laminate	laminate	NOUN
app01-10111	65	7	,	,	PUNCT
app01-10111	65	8	the	the	DET
app01-10111	65	9	components	component	NOUN
app01-10111	65	10	of	of	ADP
app01-10111	65	11	the	the	DET
app01-10111	65	12	elasticity	elasticity	NOUN
app01-10111	65	13	tensor	tensor	NOUN
app01-10111	65	14	cb	cb	PROPN
app01-10111	65	15	of	of	ADP
app01-10111	65	16	bar	bar	PROPN
app01-10111	65	17	b	b	PROPN
app01-10111	65	18	in	in	ADP
app01-10111	65	19	lcs	lcs	PROPN
app01-10111	65	20	are	be	AUX
app01-10111	65	21	given	give	VERB
app01-10111	65	22	by	by	ADP
app01-10111	65	23	cp	cp	PROPN
app01-10111	65	24	b	b	PROPN
app01-10111	65	25	=	=	SYM
app01-10111	65	26	t	t	PROPN
app01-10111	65	27	⊤	⊤	PROPN
app01-10111	65	28	1	1	NUM
app01-10111	65	29	ĉ	ĉ	X
app01-10111	65	30	p	p	X
app01-10111	65	31	bt	bt	NOUN
app01-10111	65	32	1	1	NUM
app01-10111	65	33	and	and	CCONJ
app01-10111	65	34	cs	cs	PROPN
app01-10111	65	35	b	b	PROPN
app01-10111	65	36	=	=	SYM
app01-10111	65	37	t	t	PROPN
app01-10111	65	38	⊤	⊤	PROPN
app01-10111	65	39	2	2	NUM
app01-10111	65	40	ĉ	ĉ	X
app01-10111	65	41	s	s	AUX
app01-10111	65	42	bt	bt	NOUN
app01-10111	65	43	2	2	NUM
app01-10111	65	44	,	,	PUNCT
app01-10111	65	45	(	(	PUNCT
app01-10111	65	46	6	6	NUM
app01-10111	65	47	)	)	PUNCT
app01-10111	65	48	with	with	ADP
app01-10111	65	49	t	t	PROPN
app01-10111	65	50	1	1	NUM
app01-10111	65	51	=	=	SYM
app01-10111	65	52	[	[	PUNCT
app01-10111	65	53	c2	c2	PROPN
app01-10111	65	54	s2	s2	VERB
app01-10111	65	55	cs	cs	PROPN
app01-10111	65	56	s2	s2	PROPN
app01-10111	65	57	c2	c2	PROPN
app01-10111	65	58	−cs	−cs	PROPN
app01-10111	65	59	−2cs	−2cs	NOUN
app01-10111	65	60	2cs	2cs	PROPN
app01-10111	65	61	c2	c2	PROPN
app01-10111	65	62	−	−	PROPN
app01-10111	65	63	s2	s2	PROPN
app01-10111	65	64	]	]	PUNCT
app01-10111	65	65	,	,	PUNCT
app01-10111	65	66	t	t	PROPN
app01-10111	65	67	2	2	NUM
app01-10111	65	68	=	=	PUNCT
app01-10111	65	69	[	[	PUNCT
app01-10111	65	70	c	c	NOUN
app01-10111	65	71	−s	−s	NOUN
app01-10111	65	72	s	s	PART
app01-10111	65	73	c	c	NOUN
app01-10111	65	74	]	]	PUNCT
app01-10111	65	75	,	,	PUNCT
app01-10111	65	76	(	(	PUNCT
app01-10111	65	77	7	7	X
app01-10111	65	78	)	)	PUNCT
app01-10111	65	79	where	where	SCONJ
app01-10111	65	80	,	,	PUNCT
app01-10111	65	81	c	c	NOUN
app01-10111	65	82	and	and	CCONJ
app01-10111	65	83	s	s	NOUN
app01-10111	65	84	denote	denote	VERB
app01-10111	65	85	the	the	DET
app01-10111	65	86	cosine	cosine	NOUN
app01-10111	65	87	and	and	CCONJ
app01-10111	65	88	sine	sine	NOUN
app01-10111	65	89	of	of	ADP
app01-10111	65	90	the	the	DET
app01-10111	65	91	angle	angle	NOUN
app01-10111	65	92	θ	θ	PROPN
app01-10111	65	93	respectively	respectively	ADV
app01-10111	65	94	,	,	PUNCT
app01-10111	65	95	where	where	SCONJ
app01-10111	65	96	θ	θ	PROPN
app01-10111	65	97	represents	represent	VERB
app01-10111	65	98	the	the	DET
app01-10111	65	99	angle	angle	NOUN
app01-10111	65	100	between	between	ADP
app01-10111	65	101	the	the	DET
app01-10111	65	102	axes	axis	NOUN
app01-10111	65	103	ê1	ê1	PROPN
app01-10111	65	104	and	and	CCONJ
app01-10111	65	105	x.	x.	NOUN
app01-10111	65	106	the	the	DET
app01-10111	65	107	3×3	3×3	NUM
app01-10111	65	108	matrix	matrix	NOUN
app01-10111	65	109	ĉ	ĉ	NOUN
app01-10111	65	110	p	p	PRON
app01-10111	65	111	b	b	PROPN
app01-10111	65	112	establishes	establish	VERB
app01-10111	65	113	the	the	DET
app01-10111	65	114	relationship	relationship	NOUN
app01-10111	65	115	between	between	ADP
app01-10111	65	116	the	the	DET
app01-10111	65	117	in	in	ADP
app01-10111	65	118	-	-	PUNCT
app01-10111	65	119	plane	plane	NOUN
app01-10111	65	120	strains	strain	NOUN
app01-10111	65	121	{	{	PUNCT
app01-10111	65	122	εx	εx	NOUN
app01-10111	65	123	,	,	PUNCT
app01-10111	65	124	εy	εy	NOUN
app01-10111	65	125	,	,	PUNCT
app01-10111	65	126	γxy	γxy	PRON
app01-10111	65	127	}	}	PUNCT
app01-10111	65	128	and	and	CCONJ
app01-10111	65	129	the	the	DET
app01-10111	65	130	stresses	stress	NOUN
app01-10111	65	131	{	{	PUNCT
app01-10111	65	132	σx	σx	NOUN
app01-10111	65	133	,	,	PUNCT
app01-10111	65	134	σy	σy	PROPN
app01-10111	65	135	,	,	PUNCT
app01-10111	65	136	τxy	τxy	NOUN
app01-10111	65	137	}	}	PUNCT
app01-10111	65	138	in	in	ADP
app01-10111	65	139	lcs	lcs	PROPN
app01-10111	65	140	.	.	PUNCT
app01-10111	66	1	similarly	similarly	ADV
app01-10111	66	2	,	,	PUNCT
app01-10111	66	3	the	the	DET
app01-10111	66	4	2	2	NUM
app01-10111	66	5	×	×	NOUN
app01-10111	66	6	2	2	NUM
app01-10111	66	7	matrix	matrix	NOUN
app01-10111	66	8	ĉ	ĉ	X
app01-10111	66	9	s	s	X
app01-10111	66	10	b	b	NOUN
app01-10111	66	11	governs	govern	VERB
app01-10111	66	12	the	the	DET
app01-10111	66	13	relationship	relationship	NOUN
app01-10111	66	14	between	between	ADP
app01-10111	66	15	the	the	DET
app01-10111	66	16	out	out	NOUN
app01-10111	66	17	-	-	PUNCT
app01-10111	66	18	of	of	ADP
app01-10111	66	19	-	-	PUNCT
app01-10111	66	20	plane	plane	NOUN
app01-10111	66	21	shear	shear	NOUN
app01-10111	66	22	strains	strain	VERB
app01-10111	66	23	{	{	PUNCT
app01-10111	66	24	γxz	γxz	NOUN
app01-10111	66	25	,	,	PUNCT
app01-10111	66	26	γyz	γyz	PROPN
app01-10111	66	27	}	}	PUNCT
app01-10111	66	28	and	and	CCONJ
app01-10111	66	29	the	the	DET
app01-10111	66	30	stresses	stress	NOUN
app01-10111	66	31	{	{	PUNCT
app01-10111	66	32	τxz	τxz	PROPN
app01-10111	66	33	,	,	PUNCT
app01-10111	66	34	τyz	τyz	PROPN
app01-10111	66	35	}	}	PUNCT
app01-10111	66	36	in	in	ADP
app01-10111	66	37	lcs	lcs	PROPN
app01-10111	66	38	.	.	PROPN
app01-10111	67	1	2.3	2.3	NUM
app01-10111	67	2	.	.	PUNCT
app01-10111	68	1	elemental	elemental	ADJ
app01-10111	68	2	laminate	laminate	PROPN
app01-10111	68	3	elasticity	elasticity	NOUN
app01-10111	68	4	matrix	matrix	NOUN
app01-10111	68	5	for	for	ADP
app01-10111	68	6	a	a	DET
app01-10111	68	7	laminate	laminate	NOUN
app01-10111	68	8	that	that	PRON
app01-10111	68	9	is	be	AUX
app01-10111	68	10	symmetrical	symmetrical	ADJ
app01-10111	68	11	with	with	ADP
app01-10111	68	12	respect	respect	NOUN
app01-10111	68	13	to	to	ADP
app01-10111	68	14	the	the	DET
app01-10111	68	15	middle	middle	ADJ
app01-10111	68	16	plane	plane	NOUN
app01-10111	68	17	(	(	PUNCT
app01-10111	68	18	z	z	NOUN
app01-10111	68	19	=	=	NOUN
app01-10111	68	20	0	0	NUM
app01-10111	68	21	)	)	PUNCT
app01-10111	68	22	and	and	CCONJ
app01-10111	68	23	consists	consist	VERB
app01-10111	68	24	of	of	ADP
app01-10111	68	25	2nb	2nb	ADJ
app01-10111	68	26	layers	layer	NOUN
app01-10111	68	27	,	,	PUNCT
app01-10111	68	28	the	the	DET
app01-10111	68	29	membrane	membrane	NOUN
app01-10111	68	30	-	-	PUNCT
app01-10111	68	31	bending	bend	VERB
app01-10111	68	32	coupling	couple	VERB
app01-10111	68	33	matrix	matrix	NOUN
app01-10111	68	34	dmd	dmd	NOUN
app01-10111	68	35	is	be	AUX
app01-10111	68	36	equal	equal	ADJ
app01-10111	68	37	to	to	ADP
app01-10111	68	38	zero	zero	NUM
app01-10111	68	39	.	.	PUNCT
app01-10111	69	1	we	we	PRON
app01-10111	69	2	utilize	utilize	VERB
app01-10111	69	3	the	the	DET
app01-10111	69	4	first	first	ADJ
app01-10111	69	5	shear	shear	NOUN
app01-10111	69	6	deformation	deformation	NOUN
app01-10111	69	7	theory	theory	NOUN
app01-10111	69	8	(	(	PUNCT
app01-10111	69	9	fsdt	fsdt	NOUN
app01-10111	69	10	)	)	PUNCT
app01-10111	69	11	to	to	PART
app01-10111	69	12	analyze	analyze	VERB
app01-10111	69	13	the	the	DET
app01-10111	69	14	mechanical	mechanical	ADJ
app01-10111	69	15	behavior	behavior	NOUN
app01-10111	69	16	of	of	ADP
app01-10111	69	17	vscls	vscls	NOUN
app01-10111	69	18	.	.	PUNCT
app01-10111	70	1	in	in	ADP
app01-10111	70	2	the	the	DET
app01-10111	70	3	fsdt	fsdt	NOUN
app01-10111	70	4	,	,	PUNCT
app01-10111	70	5	we	we	PRON
app01-10111	70	6	relax	relax	VERB
app01-10111	70	7	kirchhoff	kirchhoff	PROPN
app01-10111	70	8	’s	’s	PART
app01-10111	70	9	theory	theory	NOUN
app01-10111	70	10	by	by	ADP
app01-10111	70	11	considering	consider	VERB
app01-10111	70	12	that	that	SCONJ
app01-10111	70	13	the	the	DET
app01-10111	70	14	transverse	transverse	NOUN
app01-10111	70	15	normal	normal	ADJ
app01-10111	70	16	no	no	ADV
app01-10111	70	17	longer	long	ADV
app01-10111	70	18	remains	remain	VERB
app01-10111	70	19	23	23	NUM
app01-10111	70	20	y.	y.	PROPN
app01-10111	70	21	gandhi	gandhi	PROPN
app01-10111	70	22	,	,	PUNCT
app01-10111	70	23	j.	j.	PROPN
app01-10111	70	24	norato	norato	PROPN
app01-10111	70	25	,	,	PUNCT
app01-10111	70	26	a.	a.	NOUN
app01-10111	70	27	pavlovic	pavlovic	PROPN
app01-10111	70	28	,	,	PUNCT
app01-10111	70	29	g.	g.	PROPN
app01-10111	70	30	minak	minak	PROPN
app01-10111	70	31	acta	acta	PROPN
app01-10111	70	32	polytechnica	polytechnica	PROPN
app01-10111	70	33	ctu	ctu	PROPN
app01-10111	70	34	proceedings	proceeding	NOUN
app01-10111	70	35	material	material	NOUN
app01-10111	70	36	e1	e1	PROPN
app01-10111	70	37	e2	e2	PROPN
app01-10111	70	38	v12	v12	PROPN
app01-10111	70	39	g12	g12	PROPN
app01-10111	70	40	g13	g13	PROPN
app01-10111	70	41	g23	g23	PROPN
app01-10111	70	42	carbon	carbon	NOUN
app01-10111	70	43	epoxy	epoxy	NOUN
app01-10111	70	44	as4/3501	as4/3501	PROPN
app01-10111	70	45	-	-	SYM
app01-10111	70	46	6	6	NUM
app01-10111	70	47	113.6	113.6	NUM
app01-10111	70	48	gpa	gpa	PROPN
app01-10111	70	49	9.650	9.650	NUM
app01-10111	70	50	gpa	gpa	PROPN
app01-10111	70	51	0.334	0.334	NUM
app01-10111	70	52	6.0	6.0	NUM
app01-10111	70	53	gpa	gpa	PROPN
app01-10111	70	54	6.0	6.0	NUM
app01-10111	70	55	gpa	gpa	PROPN
app01-10111	70	56	3.1	3.1	NUM
app01-10111	70	57	gpa	gpa	PROPN
app01-10111	70	58	table	table	NOUN
app01-10111	70	59	1	1	NUM
app01-10111	70	60	.	.	PUNCT
app01-10111	70	61	material	material	NOUN
app01-10111	70	62	properties	property	NOUN
app01-10111	70	63	used	use	VERB
app01-10111	70	64	for	for	ADP
app01-10111	70	65	all	all	DET
app01-10111	70	66	the	the	DET
app01-10111	70	67	examples	example	NOUN
app01-10111	70	68	.	.	PUNCT
app01-10111	71	1	perpendicular	perpendicular	ADJ
app01-10111	71	2	to	to	ADP
app01-10111	71	3	the	the	DET
app01-10111	71	4	mid	mid	NOUN
app01-10111	71	5	-	-	NOUN
app01-10111	71	6	plane	plane	NOUN
app01-10111	71	7	(	(	PUNCT
app01-10111	71	8	z	z	NOUN
app01-10111	71	9	=	=	NOUN
app01-10111	71	10	0	0	NUM
app01-10111	71	11	)	)	PUNCT
app01-10111	71	12	after	after	ADP
app01-10111	71	13	deformation	deformation	NOUN
app01-10111	71	14	.	.	PUNCT
app01-10111	72	1	this	this	PRON
app01-10111	72	2	implies	imply	VERB
app01-10111	72	3	that	that	SCONJ
app01-10111	72	4	the	the	DET
app01-10111	72	5	elastic	elastic	ADJ
app01-10111	72	6	displacement	displacement	ADJ
app01-10111	72	7	field	field	NOUN
app01-10111	72	8	within	within	ADP
app01-10111	72	9	the	the	DET
app01-10111	72	10	laminate	laminate	NOUN
app01-10111	72	11	is	be	AUX
app01-10111	72	12	expanded	expand	VERB
app01-10111	72	13	by	by	ADP
app01-10111	72	14	as	as	ADP
app01-10111	72	15	:	:	PUNCT
app01-10111	72	16	u(x	u(x	PROPN
app01-10111	72	17	,	,	PUNCT
app01-10111	72	18	y	y	PROPN
app01-10111	72	19	,	,	PUNCT
app01-10111	72	20	z	z	NOUN
app01-10111	72	21	)	)	PUNCT
app01-10111	72	22	=	=	SYM
app01-10111	72	23	u(x	u(x	PROPN
app01-10111	72	24	,	,	PUNCT
app01-10111	72	25	y	y	NOUN
app01-10111	72	26	)	)	PUNCT
app01-10111	73	1	+	+	CCONJ
app01-10111	73	2	zψx(x	zψx(x	PROPN
app01-10111	73	3	,	,	PUNCT
app01-10111	73	4	y	y	NOUN
app01-10111	73	5	)	)	PUNCT
app01-10111	73	6	v(x	v(x	PROPN
app01-10111	73	7	,	,	PUNCT
app01-10111	73	8	y	y	PROPN
app01-10111	73	9	,	,	PUNCT
app01-10111	73	10	z	z	NOUN
app01-10111	73	11	)	)	PUNCT
app01-10111	73	12	=	=	SYM
app01-10111	73	13	v0(x	v0(x	PROPN
app01-10111	73	14	,	,	PUNCT
app01-10111	73	15	y	y	PROPN
app01-10111	73	16	)	)	PUNCT
app01-10111	73	17	+	+	CCONJ
app01-10111	73	18	zψy(x	zψy(x	PROPN
app01-10111	73	19	,	,	PUNCT
app01-10111	73	20	y	y	NOUN
app01-10111	73	21	)	)	PUNCT
app01-10111	73	22	w(x	w(x	PROPN
app01-10111	73	23	,	,	PUNCT
app01-10111	73	24	y	y	PROPN
app01-10111	73	25	,	,	PUNCT
app01-10111	73	26	z	z	NOUN
app01-10111	73	27	)	)	PUNCT
app01-10111	74	1	=	=	SYM
app01-10111	74	2	w0(x	w0(x	PROPN
app01-10111	74	3	,	,	PUNCT
app01-10111	74	4	y	y	PROPN
app01-10111	74	5	)	)	PUNCT
app01-10111	74	6	,	,	PUNCT
app01-10111	74	7	(	(	PUNCT
app01-10111	74	8	8)	8)	NUM
app01-10111	74	9	where	where	SCONJ
app01-10111	74	10	u0(x	u0(x	ADP
app01-10111	74	11	,	,	PUNCT
app01-10111	74	12	y	y	NOUN
app01-10111	74	13	)	)	PUNCT
app01-10111	74	14	and	and	CCONJ
app01-10111	74	15	v0(x	v0(x	PROPN
app01-10111	74	16	,	,	PUNCT
app01-10111	74	17	y	y	PROPN
app01-10111	74	18	)	)	PUNCT
app01-10111	74	19	represent	represent	VERB
app01-10111	74	20	in	in	ADP
app01-10111	74	21	-	-	PUNCT
app01-10111	74	22	plane	plane	NOUN
app01-10111	74	23	displacements	displacement	NOUN
app01-10111	74	24	,	,	PUNCT
app01-10111	74	25	while	while	SCONJ
app01-10111	74	26	w0(x	w0(x	PROPN
app01-10111	74	27	,	,	PUNCT
app01-10111	74	28	y	y	NOUN
app01-10111	74	29	)	)	PUNCT
app01-10111	74	30	represents	represent	VERB
app01-10111	74	31	the	the	DET
app01-10111	74	32	out	out	ADJ
app01-10111	74	33	-	-	PUNCT
app01-10111	74	34	of	of	ADP
app01-10111	74	35	-	-	PUNCT
app01-10111	74	36	plane	plane	NOUN
app01-10111	74	37	displacement	displacement	NOUN
app01-10111	74	38	.	.	PUNCT
app01-10111	75	1	the	the	DET
app01-10111	75	2	subscript	subscript	NOUN
app01-10111	75	3	(	(	PUNCT
app01-10111	75	4	·	·	PUNCT
app01-10111	75	5	)	)	PUNCT
app01-10111	75	6	0	0	NUM
app01-10111	75	7	indicates	indicate	VERB
app01-10111	75	8	the	the	DET
app01-10111	75	9	displacement	displacement	ADJ
app01-10111	75	10	field	field	NOUN
app01-10111	75	11	of	of	ADP
app01-10111	75	12	the	the	DET
app01-10111	75	13	reference	reference	NOUN
app01-10111	75	14	plane	plane	NOUN
app01-10111	75	15	.	.	PUNCT
app01-10111	76	1	using	use	VERB
app01-10111	76	2	four	four	NUM
app01-10111	76	3	-	-	PUNCT
app01-10111	76	4	node	node	NOUN
app01-10111	76	5	,	,	PUNCT
app01-10111	76	6	bilinear	bilinear	NOUN
app01-10111	76	7	,	,	PUNCT
app01-10111	76	8	quadrilateral	quadrilateral	ADJ
app01-10111	76	9	,	,	PUNCT
app01-10111	76	10	and	and	CCONJ
app01-10111	76	11	planestress	planestress	NOUN
app01-10111	76	12	elements	element	NOUN
app01-10111	76	13	,	,	PUNCT
app01-10111	76	14	we	we	PRON
app01-10111	76	15	construct	construct	VERB
app01-10111	76	16	element	element	NOUN
app01-10111	76	17	stiffness	stiffness	NOUN
app01-10111	76	18	matrices	matrix	NOUN
app01-10111	76	19	based	base	VERB
app01-10111	76	20	on	on	ADP
app01-10111	76	21	the	the	DET
app01-10111	76	22	abovementioned	abovementione	VERB
app01-10111	76	23	assumptions	assumption	NOUN
app01-10111	76	24	.	.	PUNCT
app01-10111	77	1	the	the	DET
app01-10111	77	2	stiffness	stiffness	ADJ
app01-10111	77	3	matrix	matrix	NOUN
app01-10111	77	4	for	for	ADP
app01-10111	77	5	the	the	DET
app01-10111	77	6	eth	eth	PROPN
app01-10111	77	7	element	element	NOUN
app01-10111	77	8	can	can	AUX
app01-10111	77	9	be	be	AUX
app01-10111	77	10	represented	represent	VERB
app01-10111	77	11	as	as	ADP
app01-10111	77	12	:	:	PUNCT
app01-10111	77	13	dme	dme	X
app01-10111	77	14	=	=	SYM
app01-10111	77	15	nb∑	nb∑	PROPN
app01-10111	77	16	i=1	i=1	PUNCT
app01-10111	78	1	[	[	X
app01-10111	78	2	hi+1	hi+1	X
app01-10111	78	3	−	−	PROPN
app01-10111	78	4	hi	hi	INTJ
app01-10111	78	5	]	]	X
app01-10111	78	6	cp	cp	X
app01-10111	78	7	ei	ei	PROPN
app01-10111	78	8	;	;	PUNCT
app01-10111	78	9	dse	dse	PROPN
app01-10111	78	10	=	=	SYM
app01-10111	78	11	nb∑	nb∑	PROPN
app01-10111	78	12	i=1	i=1	X
app01-10111	79	1	[	[	X
app01-10111	79	2	hi+1	hi+1	X
app01-10111	79	3	−	−	NOUN
app01-10111	79	4	hi]κcs	hi]κcs	PROPN
app01-10111	79	5	ei	ei	PROPN
app01-10111	79	6	;	;	PUNCT
app01-10111	79	7	dde	dde	PROPN
app01-10111	79	8	=	=	SYM
app01-10111	79	9	nb∑	nb∑	PROPN
app01-10111	79	10	i=1	i=1	PROPN
app01-10111	79	11	1	1	NUM
app01-10111	79	12	3	3	NUM
app01-10111	79	13	[	[	PUNCT
app01-10111	79	14	h3	h3	NOUN
app01-10111	79	15	i+1	i+1	PRON
app01-10111	79	16	−	−	NOUN
app01-10111	79	17	h3	h3	NOUN
app01-10111	79	18	i	i	PRON
app01-10111	79	19	]	]	PUNCT
app01-10111	79	20	cp	cp	INTJ
app01-10111	79	21	ei	ei	PROPN
app01-10111	79	22	.	.	PROPN
app01-10111	80	1	(	(	PUNCT
app01-10111	80	2	9	9	X
app01-10111	80	3	)	)	PUNCT
app01-10111	80	4	each	each	DET
app01-10111	80	5	bar	bar	NOUN
app01-10111	80	6	is	be	AUX
app01-10111	80	7	defined	define	VERB
app01-10111	80	8	by	by	ADP
app01-10111	80	9	the	the	DET
app01-10111	80	10	top	top	ADJ
app01-10111	80	11	and	and	CCONJ
app01-10111	80	12	bottom	bottom	ADJ
app01-10111	80	13	planes	plane	NOUN
app01-10111	80	14	hi+1	hi+1	X
app01-10111	80	15	and	and	CCONJ
app01-10111	80	16	hi	hi	INTJ
app01-10111	80	17	.	.	PUNCT
app01-10111	81	1	the	the	DET
app01-10111	81	2	shear	shear	NOUN
app01-10111	81	3	correction	correction	NOUN
app01-10111	81	4	factor	factor	NOUN
app01-10111	81	5	is	be	AUX
app01-10111	81	6	κ	κ	NOUN
app01-10111	81	7	=	=	SYM
app01-10111	81	8	5/6	5/6	NUM
app01-10111	81	9	.	.	PUNCT
app01-10111	82	1	additionally	additionally	ADV
app01-10111	82	2	,	,	PUNCT
app01-10111	82	3	we	we	PRON
app01-10111	82	4	assume	assume	VERB
app01-10111	82	5	that	that	SCONJ
app01-10111	82	6	the	the	DET
app01-10111	82	7	layer	layer	NOUN
app01-10111	82	8	thickness	thickness	NOUN
app01-10111	82	9	h	h	NOUN
app01-10111	82	10	is	be	AUX
app01-10111	82	11	uniform	uniform	ADJ
app01-10111	82	12	,	,	PUNCT
app01-10111	82	13	which	which	PRON
app01-10111	82	14	means	mean	VERB
app01-10111	82	15	that	that	SCONJ
app01-10111	82	16	(	(	PUNCT
app01-10111	82	17	hi+1	hi+1	NOUN
app01-10111	82	18	−	−	PROPN
app01-10111	82	19	hi	hi	INTJ
app01-10111	82	20	)	)	PUNCT
app01-10111	82	21	=	=	SYM
app01-10111	82	22	h	h	NOUN
app01-10111	82	23	,	,	PUNCT
app01-10111	82	24	and	and	CCONJ
app01-10111	82	25	we	we	PRON
app01-10111	82	26	also	also	ADV
app01-10111	82	27	assume	assume	VERB
app01-10111	82	28	that	that	SCONJ
app01-10111	82	29	the	the	DET
app01-10111	82	30	effect	effect	NOUN
app01-10111	82	31	of	of	ADP
app01-10111	82	32	stacking	stack	VERB
app01-10111	82	33	on	on	ADP
app01-10111	82	34	the	the	DET
app01-10111	82	35	bending	bend	VERB
app01-10111	82	36	stiffness	stiffness	NOUN
app01-10111	82	37	is	be	AUX
app01-10111	82	38	disregarded	disregard	VERB
app01-10111	82	39	,	,	PUNCT
app01-10111	82	40	with	with	ADP
app01-10111	82	41	hb	hb	PROPN
app01-10111	82	42	=	=	SYM
app01-10111	82	43	0	0	PROPN
app01-10111	82	44	,	,	PUNCT
app01-10111	82	45	leading	lead	VERB
app01-10111	82	46	to	to	ADP
app01-10111	82	47	(	(	PUNCT
app01-10111	82	48	h3	h3	NOUN
app01-10111	82	49	b+1	b+1	NUM
app01-10111	82	50	−	−	NOUN
app01-10111	82	51	h3	h3	NOUN
app01-10111	82	52	b	b	NOUN
app01-10111	82	53	)	)	PUNCT
app01-10111	82	54	=	=	VERB
app01-10111	82	55	h3	h3	NOUN
app01-10111	82	56	for	for	ADP
app01-10111	82	57	all	all	DET
app01-10111	82	58	bars	bar	NOUN
app01-10111	82	59	.	.	PUNCT
app01-10111	83	1	3	3	X
app01-10111	83	2	.	.	X
app01-10111	83	3	optimization	optimization	NOUN
app01-10111	83	4	problem	problem	NOUN
app01-10111	83	5	and	and	CCONJ
app01-10111	83	6	sensitivity	sensitivity	NOUN
app01-10111	83	7	analysis	analysis	NOUN
app01-10111	83	8	we	we	PRON
app01-10111	83	9	address	address	VERB
app01-10111	83	10	the	the	DET
app01-10111	83	11	minimization	minimization	NOUN
app01-10111	83	12	of	of	ADP
app01-10111	83	13	compliance	compliance	NOUN
app01-10111	83	14	for	for	ADP
app01-10111	83	15	a	a	DET
app01-10111	83	16	specified	specify	VERB
app01-10111	83	17	volume	volume	NOUN
app01-10111	83	18	fraction	fraction	NOUN
app01-10111	83	19	limit	limit	NOUN
app01-10111	83	20	.	.	PUNCT
app01-10111	84	1	we	we	PRON
app01-10111	84	2	formulate	formulate	VERB
app01-10111	84	3	the	the	DET
app01-10111	84	4	optimization	optimization	NOUN
app01-10111	84	5	problem	problem	NOUN
app01-10111	84	6	as	as	SCONJ
app01-10111	84	7	follows	follow	VERB
app01-10111	84	8	:	:	PUNCT
app01-10111	84	9	min{zb	min{zb	X
app01-10111	84	10	}	}	PUNCT
app01-10111	84	11	f	f	NOUN
app01-10111	84	12	:	:	PUNCT
app01-10111	84	13	=	=	SYM
app01-10111	84	14	log(c+	log(c+	PROPN
app01-10111	84	15	1	1	NUM
app01-10111	84	16	)	)	PUNCT
app01-10111	84	17	subject	subject	ADJ
app01-10111	84	18	to	to	ADP
app01-10111	84	19	:	:	PUNCT
app01-10111	84	20	v	v	NOUN
app01-10111	84	21	≤	≤	NUM
app01-10111	84	22	v̄	v̄	NOUN
app01-10111	84	23	ku	ku	NOUN
app01-10111	84	24	=	=	SYM
app01-10111	84	25	f	f	PROPN
app01-10111	84	26	zi	zi	PROPN
app01-10111	84	27	≤	≤	PROPN
app01-10111	84	28	zi	zi	NOUN
app01-10111	84	29	≤	≤	PROPN
app01-10111	84	30	z̄i	z̄i	PROPN
app01-10111	84	31	,	,	PUNCT
app01-10111	84	32	i	i	PRON
app01-10111	84	33	=	=	NOUN
app01-10111	84	34	1	1	NUM
app01-10111	84	35	,	,	PUNCT
app01-10111	84	36	2	2	NUM
app01-10111	84	37	,	,	PUNCT
app01-10111	84	38	.	.	PUNCT
app01-10111	84	39	.	.	PUNCT
app01-10111	85	1	.	.	PUNCT
app01-10111	86	1	,	,	PUNCT
app01-10111	86	2	nz	nz	PROPN
app01-10111	86	3	,	,	PUNCT
app01-10111	86	4	(	(	PUNCT
app01-10111	86	5	10	10	NUM
app01-10111	86	6	)	)	PUNCT
app01-10111	86	7	where	where	SCONJ
app01-10111	86	8	compliance	compliance	NOUN
app01-10111	86	9	,	,	PUNCT
app01-10111	86	10	denoted	denote	VERB
app01-10111	86	11	by	by	ADP
app01-10111	86	12	c	c	NOUN
app01-10111	86	13	=	=	SYM
app01-10111	86	14	u⊤f	u⊤f	ADJ
app01-10111	86	15	,	,	PUNCT
app01-10111	86	16	and	and	CCONJ
app01-10111	86	17	u	u	NOUN
app01-10111	86	18	and	and	CCONJ
app01-10111	86	19	f	f	PROPN
app01-10111	86	20	represent	represent	VERB
app01-10111	86	21	the	the	DET
app01-10111	86	22	global	global	ADJ
app01-10111	86	23	displacement	displacement	NOUN
app01-10111	86	24	and	and	CCONJ
app01-10111	86	25	force	force	NOUN
app01-10111	86	26	vectors	vector	NOUN
app01-10111	86	27	,	,	PUNCT
app01-10111	86	28	respectively	respectively	ADV
app01-10111	86	29	.	.	PUNCT
app01-10111	87	1	the	the	DET
app01-10111	87	2	value	value	NOUN
app01-10111	87	3	v̄	v̄	NOUN
app01-10111	87	4	sets	set	VERB
app01-10111	87	5	an	an	DET
app01-10111	87	6	upper	upper	ADJ
app01-10111	87	7	limit	limit	NOUN
app01-10111	87	8	on	on	ADP
app01-10111	87	9	the	the	DET
app01-10111	87	10	volume	volume	NOUN
app01-10111	87	11	fraction	fraction	NOUN
app01-10111	87	12	,	,	PUNCT
app01-10111	87	13	while	while	SCONJ
app01-10111	87	14	k	k	PROPN
app01-10111	87	15	represents	represent	VERB
app01-10111	87	16	the	the	DET
app01-10111	87	17	global	global	ADJ
app01-10111	87	18	stiffness	stiffness	NOUN
app01-10111	87	19	matrix	matrix	NOUN
app01-10111	87	20	.	.	PUNCT
app01-10111	88	1	the	the	DET
app01-10111	88	2	interval	interval	NOUN
app01-10111	88	3	[	[	X
app01-10111	88	4	zi	zi	NOUN
app01-10111	88	5	,	,	PUNCT
app01-10111	88	6	z̄i	z̄i	PROPN
app01-10111	88	7	]	]	PUNCT
app01-10111	88	8	defines	define	VERB
app01-10111	88	9	the	the	DET
app01-10111	88	10	lower	low	ADJ
app01-10111	88	11	and	and	CCONJ
app01-10111	88	12	upper	upper	ADJ
app01-10111	88	13	bounds	bound	NOUN
app01-10111	88	14	on	on	ADP
app01-10111	88	15	the	the	DET
app01-10111	88	16	ith	ith	PROPN
app01-10111	88	17	design	design	NOUN
app01-10111	88	18	variable	variable	NOUN
app01-10111	88	19	.	.	PUNCT
app01-10111	89	1	figure	figure	NOUN
app01-10111	89	2	1	1	NUM
app01-10111	89	3	.	.	PUNCT
app01-10111	89	4	design	design	NOUN
app01-10111	89	5	region	region	NOUN
app01-10111	89	6	,	,	PUNCT
app01-10111	89	7	boundary	boundary	ADJ
app01-10111	89	8	conditions	condition	NOUN
app01-10111	89	9	,	,	PUNCT
app01-10111	89	10	and	and	CCONJ
app01-10111	89	11	initial	initial	ADJ
app01-10111	89	12	design	design	NOUN
app01-10111	89	13	for	for	ADP
app01-10111	89	14	beam	beam	NOUN
app01-10111	89	15	in	in	ADP
app01-10111	89	16	3−point	3−point	NUM
app01-10111	89	17	in	in	ADP
app01-10111	89	18	-	-	PUNCT
app01-10111	89	19	plane	plane	NOUN
app01-10111	89	20	bending	bending	NOUN
app01-10111	89	21	.	.	PUNCT
app01-10111	90	1	the	the	DET
app01-10111	90	2	volume	volume	NOUN
app01-10111	90	3	fraction	fraction	NOUN
app01-10111	90	4	,	,	PUNCT
app01-10111	90	5	v	v	NOUN
app01-10111	90	6	,	,	PUNCT
app01-10111	90	7	can	can	AUX
app01-10111	90	8	be	be	AUX
app01-10111	90	9	defined	define	VERB
app01-10111	90	10	as	as	ADP
app01-10111	90	11	v(e	v(e	PROPN
app01-10111	90	12	)	)	PUNCT
app01-10111	90	13	:	:	PUNCT
app01-10111	91	1	=	=	PUNCT
app01-10111	91	2	1∑	1∑	NUM
app01-10111	91	3	e	e	X
app01-10111	91	4	∣∣ω(e	∣∣ω(e	PROPN
app01-10111	91	5	)	)	PUNCT
app01-10111	91	6	∣∣	∣∣	PROPN
app01-10111	91	7	∣∣∣ω(e	∣∣∣ω(e	NOUN
app01-10111	91	8	)	)	PUNCT
app01-10111	91	9	∣∣∣	∣∣∣	ADP
app01-10111	91	10	∑	∑	PROPN
app01-10111	91	11	b	b	PROPN
app01-10111	91	12	ρeff	ρeff	NOUN
app01-10111	91	13	be	be	AUX
app01-10111	91	14	.	.	PUNCT
app01-10111	92	1	(	(	PUNCT
app01-10111	92	2	11	11	NUM
app01-10111	92	3	)	)	PUNCT
app01-10111	92	4	finally	finally	ADV
app01-10111	92	5	,	,	PUNCT
app01-10111	92	6	for	for	ADP
app01-10111	92	7	the	the	DET
app01-10111	92	8	design	design	NOUN
app01-10111	92	9	-	-	PUNCT
app01-10111	92	10	independent	independent	ADJ
app01-10111	92	11	loading	loading	NOUN
app01-10111	92	12	,	,	PUNCT
app01-10111	92	13	the	the	DET
app01-10111	92	14	sensitivity	sensitivity	NOUN
app01-10111	92	15	of	of	ADP
app01-10111	92	16	eq	eq	PROPN
app01-10111	92	17	.	.	PUNCT
app01-10111	93	1	(	(	PUNCT
app01-10111	93	2	10	10	NUM
app01-10111	93	3	)	)	PUNCT
app01-10111	93	4	and	and	CCONJ
app01-10111	93	5	eq	eq	NOUN
app01-10111	93	6	.	.	PUNCT
app01-10111	94	1	(	(	PUNCT
app01-10111	94	2	11	11	NUM
app01-10111	94	3	)	)	PUNCT
app01-10111	94	4	is	be	AUX
app01-10111	94	5	as	as	SCONJ
app01-10111	94	6	follows	follow	VERB
app01-10111	94	7	:	:	PUNCT
app01-10111	94	8	∂zic	∂zic	X
app01-10111	94	9	=	=	SYM
app01-10111	94	10	−	−	PROPN
app01-10111	94	11	∑	∑	PUNCT
app01-10111	94	12	e	e	PROPN
app01-10111	94	13	u⊤	u⊤	NOUN
app01-10111	94	14	(	(	PUNCT
app01-10111	94	15	∂zik	∂zik	X
app01-10111	94	16	(	(	PUNCT
app01-10111	94	17	e	e	NOUN
app01-10111	94	18	)	)	PUNCT
app01-10111	94	19	)	)	PUNCT
app01-10111	95	1	u	u	NOUN
app01-10111	95	2	∂ziv	∂ziv	PUNCT
app01-10111	95	3	=	=	PUNCT
app01-10111	95	4	∑	∑	PUNCT
app01-10111	95	5	e	e	PROPN
app01-10111	95	6	∣∣ω(e	∣∣ω(e	PROPN
app01-10111	95	7	)	)	PUNCT
app01-10111	95	8	∣∣	∣∣	NUM
app01-10111	95	9	∂ziv	∂ziv	NUM
app01-10111	95	10	(	(	PUNCT
app01-10111	95	11	e)∑	e)∑	PROPN
app01-10111	95	12	e	e	NOUN
app01-10111	95	13	∣∣ω(e	∣∣ω(e	PROPN
app01-10111	95	14	)	)	PUNCT
app01-10111	95	15	∣∣	∣∣	X
app01-10111	95	16	.	.	PUNCT
app01-10111	96	1	(	(	PUNCT
app01-10111	96	2	12	12	NUM
app01-10111	96	3	)	)	PUNCT
app01-10111	96	4	the	the	DET
app01-10111	96	5	stiffness	stiffness	NOUN
app01-10111	96	6	matrices	matrix	NOUN
app01-10111	96	7	design	design	NOUN
app01-10111	96	8	sensitivities	sensitivity	NOUN
app01-10111	96	9	da	da	NOUN
app01-10111	96	10	,	,	PUNCT
app01-10111	96	11	where	where	SCONJ
app01-10111	96	12	{	{	PUNCT
app01-10111	96	13	a	a	PRON
app01-10111	96	14	=	=	NOUN
app01-10111	96	15	m	m	PROPN
app01-10111	96	16	,	,	PUNCT
app01-10111	96	17	d	d	X
app01-10111	96	18	,	,	PUNCT
app01-10111	96	19	s	s	AUX
app01-10111	96	20	}	}	PUNCT
app01-10111	96	21	in	in	ADP
app01-10111	96	22	eq	eq	ADP
app01-10111	96	23	.	.	PUNCT
app01-10111	97	1	(	(	PUNCT
app01-10111	97	2	9	9	X
app01-10111	97	3	)	)	PUNCT
app01-10111	97	4	can	can	AUX
app01-10111	97	5	be	be	AUX
app01-10111	97	6	expressed	express	VERB
app01-10111	97	7	in	in	ADP
app01-10111	97	8	matrix	matrix	NOUN
app01-10111	97	9	form	form	NOUN
app01-10111	97	10	as	as	SCONJ
app01-10111	97	11	follows	follow	VERB
app01-10111	97	12	:	:	PUNCT
app01-10111	97	13	∂zide	∂zide	X
app01-10111	97	14	=	=	SYM
app01-10111	97	15			NOUN
app01-10111	97	16	∂zidme	∂zidme	NOUN
app01-10111	97	17	03	03	NUM
app01-10111	97	18	03×2	03×2	NOUN
app01-10111	97	19	03	03	NUM
app01-10111	97	20	∂zidde	∂zidde	PROPN
app01-10111	97	21	03×2	03×2	PROPN
app01-10111	97	22	02×3	02×3	PROPN
app01-10111	97	23	02×3	02×3	PROPN
app01-10111	97	24	∂zidse	∂zidse	NUM
app01-10111	97	25			NOUN
app01-10111	97	26	.	.	PUNCT
app01-10111	98	1	(	(	PUNCT
app01-10111	98	2	13	13	NUM
app01-10111	98	3	)	)	PUNCT
app01-10111	98	4	for	for	ADP
app01-10111	98	5	the	the	DET
app01-10111	98	6	matrix	matrix	NOUN
app01-10111	98	7	0n	0n	NOUN
app01-10111	98	8	,	,	PUNCT
app01-10111	98	9	it	it	PRON
app01-10111	98	10	’s	’	VERB
app01-10111	98	11	a	a	DET
app01-10111	98	12	zero	zero	NUM
app01-10111	98	13	matrix	matrix	NOUN
app01-10111	98	14	of	of	ADP
app01-10111	98	15	size	size	NOUN
app01-10111	98	16	n×	n×	PROPN
app01-10111	98	17	n	n	CCONJ
app01-10111	98	18	,	,	PUNCT
app01-10111	98	19	and	and	CCONJ
app01-10111	98	20	for	for	ADP
app01-10111	98	21	0m×n	0m×n	NOUN
app01-10111	98	22	,	,	PUNCT
app01-10111	98	23	it	it	PRON
app01-10111	98	24	’s	’	VERB
app01-10111	98	25	a	a	DET
app01-10111	98	26	zero	zero	NUM
app01-10111	98	27	matrix	matrix	NOUN
app01-10111	98	28	of	of	ADP
app01-10111	98	29	size	size	NOUN
app01-10111	98	30	m×	m×	PROPN
app01-10111	98	31	n.	n.	VERB
app01-10111	98	32	the	the	DET
app01-10111	98	33	chain	chain	NOUN
app01-10111	98	34	rule	rule	NOUN
app01-10111	98	35	is	be	AUX
app01-10111	98	36	used	use	VERB
app01-10111	98	37	to	to	PART
app01-10111	98	38	compute	compute	VERB
app01-10111	98	39	the	the	DET
app01-10111	98	40	design	design	NOUN
app01-10111	98	41	sensitivity	sensitivity	NOUN
app01-10111	98	42	of	of	ADP
app01-10111	98	43	eq	eq	PROPN
app01-10111	98	44	.	.	PUNCT
app01-10111	99	1	(	(	PUNCT
app01-10111	99	2	13	13	NUM
app01-10111	99	3	)	)	PUNCT
app01-10111	99	4	.	.	PUNCT
app01-10111	100	1	this	this	PRON
app01-10111	100	2	requires	require	VERB
app01-10111	100	3	finding	find	VERB
app01-10111	100	4	the	the	DET
app01-10111	100	5	derivative	derivative	NOUN
app01-10111	100	6	of	of	ADP
app01-10111	100	7	the	the	DET
app01-10111	100	8	transformation	transformation	NOUN
app01-10111	100	9	in	in	ADP
app01-10111	100	10	eq	eq	ADP
app01-10111	100	11	.	.	PUNCT
app01-10111	101	1	(	(	PUNCT
app01-10111	101	2	6	6	NUM
app01-10111	101	3	)	)	PUNCT
app01-10111	101	4	and	and	CCONJ
app01-10111	101	5	the	the	DET
app01-10111	101	6	penalized	penalize	VERB
app01-10111	101	7	effective	effective	ADJ
app01-10111	101	8	density	density	NOUN
app01-10111	101	9	.	.	PUNCT
app01-10111	102	1	the	the	DET
app01-10111	102	2	computation	computation	NOUN
app01-10111	102	3	of	of	ADP
app01-10111	102	4	these	these	DET
app01-10111	102	5	derivatives	derivative	NOUN
app01-10111	102	6	is	be	AUX
app01-10111	102	7	straightforward	straightforward	ADJ
app01-10111	102	8	but	but	CCONJ
app01-10111	102	9	has	have	AUX
app01-10111	102	10	been	be	AUX
app01-10111	102	11	left	leave	VERB
app01-10111	102	12	out	out	ADP
app01-10111	102	13	for	for	ADP
app01-10111	102	14	brevity	brevity	NOUN
app01-10111	102	15	.	.	PUNCT
app01-10111	103	1	more	more	ADV
app01-10111	103	2	detailed	detailed	ADJ
app01-10111	103	3	information	information	NOUN
app01-10111	103	4	can	can	AUX
app01-10111	103	5	be	be	AUX
app01-10111	103	6	found	find	VERB
app01-10111	103	7	elsewhere	elsewhere	ADV
app01-10111	103	8	[	[	X
app01-10111	103	9	10	10	NUM
app01-10111	103	10	]	]	PUNCT
app01-10111	103	11	.	.	PUNCT
app01-10111	104	1	4	4	X
app01-10111	104	2	.	.	X
app01-10111	104	3	examples	example	NOUN
app01-10111	104	4	we	we	PRON
app01-10111	104	5	consider	consider	VERB
app01-10111	104	6	bars	bar	NOUN
app01-10111	104	7	made	make	VERB
app01-10111	104	8	of	of	ADP
app01-10111	104	9	cfrp	cfrp	NOUN
app01-10111	104	10	;	;	PUNCT
app01-10111	104	11	fiber	fiber	NOUN
app01-10111	104	12	orientation	orientation	NOUN
app01-10111	104	13	is	be	AUX
app01-10111	104	14	continuously	continuously	ADV
app01-10111	104	15	aligned	align	VERB
app01-10111	104	16	to	to	ADP
app01-10111	104	17	the	the	DET
app01-10111	104	18	bar	bar	NOUN
app01-10111	104	19	’s	’s	PART
app01-10111	104	20	axis	axis	NOUN
app01-10111	104	21	.	.	PUNCT
app01-10111	105	1	table	table	NOUN
app01-10111	105	2	1	1	NUM
app01-10111	105	3	lists	list	NOUN
app01-10111	105	4	unidirectional	unidirectional	ADJ
app01-10111	105	5	carbon	carbon	NOUN
app01-10111	105	6	-	-	PUNCT
app01-10111	105	7	epoxy	epoxy	NOUN
app01-10111	105	8	as4/3501	as4/3501	NOUN
app01-10111	105	9	-	-	SYM
app01-10111	105	10	6	6	NUM
app01-10111	105	11	material	material	NOUN
app01-10111	105	12	properties	property	NOUN
app01-10111	105	13	used	use	VERB
app01-10111	105	14	for	for	ADP
app01-10111	105	15	the	the	DET
app01-10111	105	16	bars	bar	NOUN
app01-10111	105	17	.	.	PUNCT
app01-10111	106	1	the	the	DET
app01-10111	106	2	following	follow	VERB
app01-10111	106	3	settings	setting	NOUN
app01-10111	106	4	are	be	AUX
app01-10111	106	5	considered	consider	VERB
app01-10111	106	6	until	until	SCONJ
app01-10111	106	7	mentioned	mention	VERB
app01-10111	106	8	otherwise	otherwise	ADV
app01-10111	106	9	.	.	PUNCT
app01-10111	107	1	the	the	DET
app01-10111	107	2	method	method	NOUN
app01-10111	107	3	-	-	PUNCT
app01-10111	107	4	of	of	ADP
app01-10111	107	5	-	-	PUNCT
app01-10111	107	6	moving	moving	NOUN
app01-10111	107	7	-	-	PUNCT
app01-10111	107	8	asymptotes	asymptote	NOUN
app01-10111	107	9	(	(	PUNCT
app01-10111	107	10	mma	mma	NOUN
app01-10111	107	11	)	)	PUNCT
app01-10111	108	1	[	[	X
app01-10111	108	2	12	12	NUM
app01-10111	108	3	]	]	PUNCT
app01-10111	108	4	optimizer	optimizer	NOUN
app01-10111	108	5	is	be	AUX
app01-10111	108	6	used	use	VERB
app01-10111	108	7	for	for	ADP
app01-10111	108	8	the	the	DET
app01-10111	108	9	optimization	optimization	NOUN
app01-10111	108	10	routine	routine	NOUN
app01-10111	108	11	,	,	PUNCT
app01-10111	108	12	with	with	ADP
app01-10111	108	13	the	the	DET
app01-10111	108	14	default	default	NOUN
app01-10111	108	15	parameters	parameter	NOUN
app01-10111	108	16	described	describe	VERB
app01-10111	108	17	in	in	ADP
app01-10111	108	18	here	here	ADV
app01-10111	108	19	[	[	X
app01-10111	108	20	13	13	NUM
app01-10111	108	21	]	]	PUNCT
app01-10111	108	22	.	.	PUNCT
app01-10111	109	1	the	the	DET
app01-10111	109	2	void	void	ADJ
app01-10111	109	3	material	material	NOUN
app01-10111	109	4	assigned	assign	VERB
app01-10111	109	5	with	with	ADP
app01-10111	109	6	a	a	DET
app01-10111	109	7	young	young	ADJ
app01-10111	109	8	’s	’s	PART
app01-10111	109	9	modulus	modulus	NOUN
app01-10111	109	10	of	of	ADP
app01-10111	109	11	evoid	evoid	NOUN
app01-10111	109	12	=	=	SYM
app01-10111	109	13	0.001	0.001	NUM
app01-10111	109	14	gpa	gpa	PROPN
app01-10111	109	15	and	and	CCONJ
app01-10111	109	16	a	a	DET
app01-10111	109	17	poisson	poisson	NOUN
app01-10111	109	18	’s	’s	PART
app01-10111	109	19	ratio	ratio	NOUN
app01-10111	109	20	of	of	ADP
app01-10111	109	21	vvoid	vvoid	NOUN
app01-10111	109	22	=	=	PUNCT
app01-10111	109	23	0.3	0.3	NUM
app01-10111	109	24	.	.	PUNCT
app01-10111	110	1	in	in	ADP
app01-10111	110	2	the	the	DET
app01-10111	110	3	initial	initial	ADJ
app01-10111	110	4	design	design	NOUN
app01-10111	110	5	(	(	PUNCT
app01-10111	110	6	see	see	VERB
app01-10111	110	7	figure	figure	NOUN
app01-10111	110	8	1	1	NUM
app01-10111	110	9	)	)	PUNCT
app01-10111	110	10	,	,	PUNCT
app01-10111	110	11	bars	bar	NOUN
app01-10111	110	12	have	have	VERB
app01-10111	110	13	a	a	DET
app01-10111	110	14	radius	radius	NOUN
app01-10111	110	15	24	24	NUM
app01-10111	110	16	vol	vol	NOUN
app01-10111	110	17	.	.	PUNCT
app01-10111	111	1	48/2024	48/2024	NUM
app01-10111	111	2	gp	gp	NOUN
app01-10111	111	3	-	-	PUNCT
app01-10111	111	4	am	am	NOUN
app01-10111	111	5	design	design	NOUN
app01-10111	111	6	combined	combine	VERB
app01-10111	111	7	density	density	NOUN
app01-10111	111	8	0	0	NUM
app01-10111	111	9	1	1	NUM
app01-10111	111	10	2	2	NUM
app01-10111	111	11	3	3	NUM
app01-10111	111	12	table	table	NOUN
app01-10111	111	13	2	2	NUM
app01-10111	111	14	.	.	PUNCT
app01-10111	111	15	optimal	optimal	ADJ
app01-10111	111	16	designs	design	NOUN
app01-10111	111	17	and	and	CCONJ
app01-10111	111	18	combined	combined	ADJ
app01-10111	111	19	density	density	NOUN
app01-10111	111	20	for	for	ADP
app01-10111	111	21	the	the	DET
app01-10111	111	22	mbb	mbb	PROPN
app01-10111	111	23	beam	beam	NOUN
app01-10111	111	24	.	.	PUNCT
app01-10111	112	1	the	the	DET
app01-10111	112	2	first	first	ADJ
app01-10111	112	3	column	column	NOUN
app01-10111	112	4	corresponds	correspond	VERB
app01-10111	112	5	to	to	ADP
app01-10111	112	6	the	the	DET
app01-10111	112	7	compliance	compliance	NOUN
app01-10111	112	8	value	value	NOUN
app01-10111	112	9	obtained	obtain	VERB
app01-10111	112	10	by	by	ADP
app01-10111	112	11	design	design	NOUN
app01-10111	112	12	,	,	PUNCT
app01-10111	112	13	i.e.	i.e.	X
app01-10111	112	14	,	,	PUNCT
app01-10111	112	15	c	c	X
app01-10111	112	16	=	=	SYM
app01-10111	112	17	0.0905	0.0905	NUM
app01-10111	112	18	kn	kn	PROPN
app01-10111	112	19	·	·	PUNCT
app01-10111	112	20	mm	mm	INTJ
app01-10111	112	21	.	.	PUNCT
app01-10111	113	1	in	in	ADP
app01-10111	113	2	the	the	DET
app01-10111	113	3	second	second	ADJ
app01-10111	113	4	column	column	NOUN
app01-10111	113	5	,	,	PUNCT
app01-10111	113	6	transparency	transparency	NOUN
app01-10111	113	7	is	be	AUX
app01-10111	113	8	used	use	VERB
app01-10111	113	9	in	in	ADP
app01-10111	113	10	the	the	DET
app01-10111	113	11	color	color	NOUN
app01-10111	113	12	of	of	ADP
app01-10111	113	13	the	the	DET
app01-10111	113	14	bars	bar	NOUN
app01-10111	113	15	for	for	ADP
app01-10111	113	16	the	the	DET
app01-10111	113	17	gp	gp	NOUN
app01-10111	113	18	-	-	PUNCT
app01-10111	113	19	am	be	AUX
app01-10111	113	20	designs	design	NOUN
app01-10111	113	21	to	to	PART
app01-10111	113	22	help	help	VERB
app01-10111	113	23	distinguish	distinguish	VERB
app01-10111	113	24	overlapping	overlap	VERB
app01-10111	113	25	components	component	NOUN
app01-10111	113	26	.	.	PUNCT
app01-10111	114	1	the	the	DET
app01-10111	114	2	color	color	NOUN
app01-10111	114	3	of	of	ADP
app01-10111	114	4	the	the	DET
app01-10111	114	5	bars	bar	NOUN
app01-10111	114	6	for	for	ADP
app01-10111	114	7	the	the	DET
app01-10111	114	8	optimal	optimal	ADJ
app01-10111	114	9	designs	design	NOUN
app01-10111	114	10	in	in	ADP
app01-10111	114	11	the	the	DET
app01-10111	114	12	last	last	ADJ
app01-10111	114	13	column	column	NOUN
app01-10111	114	14	corresponds	correspond	VERB
app01-10111	114	15	to	to	ADP
app01-10111	114	16	their	their	PRON
app01-10111	114	17	penalized	penalize	VERB
app01-10111	114	18	membership	membership	NOUN
app01-10111	114	19	variable	variable	ADJ
app01-10111	114	20	value	value	NOUN
app01-10111	114	21	αq	αq	PROPN
app01-10111	114	22	b	b	NOUN
app01-10111	114	23	,	,	PUNCT
app01-10111	114	24	and	and	CCONJ
app01-10111	114	25	the	the	DET
app01-10111	114	26	bars	bar	NOUN
app01-10111	114	27	are	be	AUX
app01-10111	114	28	plotted	plot	VERB
app01-10111	114	29	with	with	ADP
app01-10111	114	30	transparency	transparency	NOUN
app01-10111	114	31	to	to	PART
app01-10111	114	32	facilitate	facilitate	VERB
app01-10111	114	33	the	the	DET
app01-10111	114	34	visualization	visualization	NOUN
app01-10111	114	35	of	of	ADP
app01-10111	114	36	all	all	DET
app01-10111	114	37	bars	bar	NOUN
app01-10111	114	38	.	.	PUNCT
app01-10111	115	1	0	0	NUM
app01-10111	116	1	100	100	NUM
app01-10111	116	2	200	200	NUM
app01-10111	116	3	300	300	NUM
app01-10111	116	4	10−1	10−1	NUM
app01-10111	116	5	100	100	NUM
app01-10111	116	6	iteration	iteration	NOUN
app01-10111	116	7	f	f	PROPN
app01-10111	116	8	f0	f0	PROPN
app01-10111	116	9	0	0	NUM
app01-10111	116	10	100	100	NUM
app01-10111	116	11	200	200	NUM
app01-10111	116	12	3000.2	3000.2	NUM
app01-10111	116	13	0.3	0.3	NUM
app01-10111	116	14	0.4	0.4	NUM
app01-10111	116	15	0.5	0.5	NUM
app01-10111	116	16	iteration	iteration	NOUN
app01-10111	116	17	v	v	ADP
app01-10111	116	18	v0	v0	NOUN
app01-10111	116	19	figure	figure	NOUN
app01-10111	116	20	2	2	NUM
app01-10111	116	21	.	.	X
app01-10111	116	22	objective	objective	NOUN
app01-10111	116	23	(	(	PUNCT
app01-10111	116	24	left	left	ADJ
app01-10111	116	25	)	)	PUNCT
app01-10111	116	26	and	and	CCONJ
app01-10111	116	27	volume	volume	NOUN
app01-10111	116	28	constraint	constraint	NOUN
app01-10111	116	29	(	(	PUNCT
app01-10111	116	30	right	right	ADJ
app01-10111	116	31	)	)	PUNCT
app01-10111	116	32	history	history	NOUN
app01-10111	116	33	for	for	ADP
app01-10111	116	34	the	the	DET
app01-10111	116	35	mbb	mbb	PROPN
app01-10111	116	36	beam	beam	NOUN
app01-10111	116	37	design	design	NOUN
app01-10111	116	38	of	of	ADP
app01-10111	116	39	tab	tab	NOUN
app01-10111	116	40	.	.	PUNCT
app01-10111	116	41	2	2	NUM
app01-10111	117	1	corresponding	correspond	VERB
app01-10111	117	2	to	to	ADP
app01-10111	117	3	the	the	DET
app01-10111	117	4	gp	gp	NOUN
app01-10111	117	5	-	-	PUNCT
app01-10111	117	6	am	am	NOUN
app01-10111	117	7	design	design	NOUN
app01-10111	117	8	.	.	PUNCT
app01-10111	118	1	equal	equal	ADJ
app01-10111	118	2	to	to	ADP
app01-10111	118	3	the	the	DET
app01-10111	118	4	average	average	NOUN
app01-10111	118	5	of	of	ADP
app01-10111	118	6	their	their	PRON
app01-10111	118	7	upper	upper	ADJ
app01-10111	118	8	and	and	CCONJ
app01-10111	118	9	lower	low	ADJ
app01-10111	118	10	bounds	bound	NOUN
app01-10111	118	11	during	during	ADP
app01-10111	118	12	initialization	initialization	NOUN
app01-10111	118	13	.	.	PUNCT
app01-10111	119	1	the	the	DET
app01-10111	119	2	sizing	size	VERB
app01-10111	119	3	variable	variable	NOUN
app01-10111	119	4	,	,	PUNCT
app01-10111	119	5	α	α	X
app01-10111	119	6	,	,	PUNCT
app01-10111	119	7	is	be	AUX
app01-10111	119	8	set	set	VERB
app01-10111	119	9	to	to	ADP
app01-10111	119	10	0.5	0.5	NUM
app01-10111	119	11	,	,	PUNCT
app01-10111	119	12	and	and	CCONJ
app01-10111	119	13	the	the	DET
app01-10111	119	14	move	move	NOUN
app01-10111	119	15	limit	limit	NOUN
app01-10111	119	16	,	,	PUNCT
app01-10111	119	17	m	m	PROPN
app01-10111	119	18	,	,	PUNCT
app01-10111	119	19	is	be	AUX
app01-10111	119	20	fixed	fix	VERB
app01-10111	119	21	and	and	CCONJ
app01-10111	119	22	set	set	VERB
app01-10111	119	23	to	to	ADP
app01-10111	119	24	0.02	0.02	NUM
app01-10111	119	25	throughout	throughout	ADP
app01-10111	119	26	the	the	DET
app01-10111	119	27	optimization	optimization	NOUN
app01-10111	119	28	process	process	NOUN
app01-10111	119	29	.	.	PUNCT
app01-10111	120	1	the	the	DET
app01-10111	120	2	procedure	procedure	NOUN
app01-10111	120	3	of	of	ADP
app01-10111	120	4	optimization	optimization	NOUN
app01-10111	120	5	entails	entail	VERB
app01-10111	120	6	three	three	NUM
app01-10111	120	7	criteria	criterion	NOUN
app01-10111	120	8	for	for	ADP
app01-10111	120	9	stopping	stop	VERB
app01-10111	120	10	.	.	PUNCT
app01-10111	121	1	the	the	DET
app01-10111	121	2	first	first	ADJ
app01-10111	121	3	criterion	criterion	NOUN
app01-10111	121	4	is	be	AUX
app01-10111	121	5	achieved	achieve	VERB
app01-10111	121	6	when	when	SCONJ
app01-10111	121	7	the	the	DET
app01-10111	121	8	2	2	NUM
app01-10111	121	9	-	-	PUNCT
app01-10111	121	10	norm	norm	NOUN
app01-10111	121	11	of	of	ADP
app01-10111	121	12	the	the	DET
app01-10111	121	13	alteration	alteration	NOUN
app01-10111	121	14	in	in	ADP
app01-10111	121	15	the	the	DET
app01-10111	121	16	vector	vector	NOUN
app01-10111	121	17	of	of	ADP
app01-10111	121	18	design	design	NOUN
app01-10111	121	19	variables	variable	NOUN
app01-10111	121	20	is	be	AUX
app01-10111	121	21	smaller	small	ADJ
app01-10111	121	22	than	than	ADP
app01-10111	121	23	0.002	0.002	NUM
app01-10111	121	24	.	.	PUNCT
app01-10111	122	1	the	the	DET
app01-10111	122	2	second	second	ADJ
app01-10111	122	3	criterion	criterion	NOUN
app01-10111	122	4	is	be	AUX
app01-10111	122	5	attained	attain	VERB
app01-10111	122	6	when	when	SCONJ
app01-10111	122	7	the	the	DET
app01-10111	122	8	kkt	kkt	PROPN
app01-10111	122	9	(	(	PUNCT
app01-10111	122	10	karush	karush	PROPN
app01-10111	122	11	-	-	PUNCT
app01-10111	122	12	kuhn	kuhn	PROPN
app01-10111	122	13	-	-	PUNCT
app01-10111	122	14	tucker	tucker	PROPN
app01-10111	122	15	)	)	PUNCT
app01-10111	122	16	optimality	optimality	NOUN
app01-10111	122	17	condition	condition	NOUN
app01-10111	122	18	norm	norm	NOUN
app01-10111	122	19	is	be	AUX
app01-10111	122	20	below	below	ADP
app01-10111	122	21	0.002	0.002	NUM
app01-10111	122	22	.	.	PUNCT
app01-10111	123	1	the	the	DET
app01-10111	123	2	third	third	ADJ
app01-10111	123	3	criterion	criterion	NOUN
app01-10111	123	4	is	be	AUX
app01-10111	123	5	fulfilled	fulfil	VERB
app01-10111	123	6	when	when	SCONJ
app01-10111	123	7	the	the	DET
app01-10111	123	8	modification	modification	NOUN
app01-10111	123	9	in	in	ADP
app01-10111	123	10	the	the	DET
app01-10111	123	11	objective	objective	ADJ
app01-10111	123	12	function	function	NOUN
app01-10111	123	13	is	be	AUX
app01-10111	123	14	less	less	ADJ
app01-10111	123	15	than	than	ADP
app01-10111	123	16	10−9	10−9	NUM
app01-10111	123	17	.	.	PUNCT
app01-10111	124	1	the	the	DET
app01-10111	124	2	optimization	optimization	NOUN
app01-10111	124	3	process	process	NOUN
app01-10111	124	4	is	be	AUX
app01-10111	124	5	stopped	stop	VERB
app01-10111	124	6	if	if	SCONJ
app01-10111	124	7	any	any	PRON
app01-10111	124	8	of	of	ADP
app01-10111	124	9	these	these	DET
app01-10111	124	10	criteria	criterion	NOUN
app01-10111	124	11	are	be	AUX
app01-10111	124	12	met	meet	VERB
app01-10111	124	13	.	.	PUNCT
app01-10111	125	1	4.1	4.1	NUM
app01-10111	125	2	.	.	PUNCT
app01-10111	125	3	beam	beam	NOUN
app01-10111	125	4	in	in	ADP
app01-10111	125	5	3	3	NUM
app01-10111	125	6	-	-	PUNCT
app01-10111	125	7	point	point	NOUN
app01-10111	125	8	bending	bend	VERB
app01-10111	125	9	the	the	DET
app01-10111	125	10	example	example	NOUN
app01-10111	125	11	considers	consider	VERB
app01-10111	125	12	a	a	DET
app01-10111	125	13	150	150	NUM
app01-10111	125	14	mm	mm	NOUN
app01-10111	125	15	×	×	NOUN
app01-10111	125	16	50	50	NUM
app01-10111	125	17	mm	mm	NOUN
app01-10111	125	18	simply	simply	ADV
app01-10111	125	19	supported	support	VERB
app01-10111	125	20	beam	beam	NOUN
app01-10111	125	21	in	in	ADP
app01-10111	125	22	3	3	NUM
app01-10111	125	23	-	-	PUNCT
app01-10111	125	24	point	point	NOUN
app01-10111	125	25	bending	bending	NOUN
app01-10111	125	26	,	,	PUNCT
app01-10111	125	27	as	as	SCONJ
app01-10111	125	28	illustrated	illustrate	VERB
app01-10111	125	29	in	in	ADP
app01-10111	125	30	figure	figure	NOUN
app01-10111	125	31	1	1	NUM
app01-10111	125	32	.	.	PUNCT
app01-10111	126	1	the	the	DET
app01-10111	126	2	maximum	maximum	PROPN
app01-10111	126	3	volume	volume	NOUN
app01-10111	126	4	fraction	fraction	NOUN
app01-10111	126	5	is	be	AUX
app01-10111	126	6	0.5	0.5	NUM
app01-10111	126	7	.	.	PUNCT
app01-10111	127	1	because	because	SCONJ
app01-10111	127	2	the	the	DET
app01-10111	127	3	problem	problem	NOUN
app01-10111	127	4	is	be	AUX
app01-10111	127	5	symmetrical	symmetrical	ADJ
app01-10111	127	6	,	,	PUNCT
app01-10111	127	7	only	only	ADV
app01-10111	127	8	the	the	DET
app01-10111	127	9	right	right	ADJ
app01-10111	127	10	side	side	NOUN
app01-10111	127	11	of	of	ADP
app01-10111	127	12	the	the	DET
app01-10111	127	13	structure	structure	NOUN
app01-10111	127	14	is	be	AUX
app01-10111	127	15	modeled	model	VERB
app01-10111	127	16	.	.	PUNCT
app01-10111	128	1	initially	initially	ADV
app01-10111	128	2	,	,	PUNCT
app01-10111	128	3	the	the	DET
app01-10111	128	4	entire	entire	ADJ
app01-10111	128	5	plate	plate	NOUN
app01-10111	128	6	is	be	AUX
app01-10111	128	7	designed	design	VERB
app01-10111	128	8	with	with	ADP
app01-10111	128	9	27	27	NUM
app01-10111	128	10	bar	bar	NOUN
app01-10111	128	11	,	,	PUNCT
app01-10111	128	12	and	and	CCONJ
app01-10111	128	13	the	the	DET
app01-10111	128	14	design	design	NOUN
app01-10111	128	15	variables	variable	NOUN
app01-10111	128	16	are	be	AUX
app01-10111	128	17	constrained	constrain	VERB
app01-10111	128	18	within	within	ADP
app01-10111	128	19	the	the	DET
app01-10111	128	20	following	follow	VERB
app01-10111	128	21	bounds	bound	NOUN
app01-10111	128	22	.	.	PUNCT
app01-10111	128	23	{	{	PUNCT
app01-10111	129	1	(	(	PUNCT
app01-10111	129	2	0	0	NUM
app01-10111	129	3	,	,	PUNCT
app01-10111	129	4	0	0	NUM
app01-10111	129	5	)	)	PUNCT
app01-10111	129	6	2	2	NUM
app01-10111	129	7	0	0	NUM
app01-10111	129	8	}	}	PUNCT
app01-10111	129	9	≤	≤	NOUN
app01-10111	129	10	{	{	PUNCT
app01-10111	129	11	(	(	PUNCT
app01-10111	129	12	xb1	xb1	PROPN
app01-10111	129	13	,	,	PUNCT
app01-10111	129	14	xb2	xb2	PROPN
app01-10111	129	15	)	)	PUNCT
app01-10111	129	16	rb	rb	VERB
app01-10111	129	17	αb	αb	ADP
app01-10111	129	18	}	}	PUNCT
app01-10111	129	19	≤	≤	NOUN
app01-10111	129	20	{	{	PUNCT
app01-10111	129	21	(	(	PUNCT
app01-10111	129	22	150	150	NUM
app01-10111	129	23	,	,	PUNCT
app01-10111	129	24	50	50	NUM
app01-10111	129	25	)	)	PUNCT
app01-10111	129	26	5	5	NUM
app01-10111	129	27	1	1	NUM
app01-10111	129	28	}	}	PUNCT
app01-10111	129	29	(	(	PUNCT
app01-10111	129	30	14	14	NUM
app01-10111	129	31	)	)	PUNCT
app01-10111	129	32	in	in	ADP
app01-10111	129	33	this	this	DET
app01-10111	129	34	situation	situation	NOUN
app01-10111	129	35	,	,	PUNCT
app01-10111	129	36	the	the	DET
app01-10111	129	37	highest	high	ADJ
app01-10111	129	38	bending	bend	VERB
app01-10111	129	39	stress	stress	NOUN
app01-10111	129	40	occurs	occur	VERB
app01-10111	129	41	in	in	ADP
app01-10111	129	42	the	the	DET
app01-10111	129	43	upper	upper	ADJ
app01-10111	129	44	left	left	ADJ
app01-10111	129	45	corner	corner	NOUN
app01-10111	129	46	where	where	SCONJ
app01-10111	129	47	the	the	DET
app01-10111	129	48	load	load	NOUN
app01-10111	129	49	is	be	AUX
app01-10111	129	50	applied	apply	VERB
app01-10111	129	51	,	,	PUNCT
app01-10111	129	52	and	and	CCONJ
app01-10111	129	53	the	the	DET
app01-10111	129	54	normal	normal	ADJ
app01-10111	129	55	stresses	stress	NOUN
app01-10111	129	56	cause	cause	VERB
app01-10111	129	57	tension	tension	NOUN
app01-10111	129	58	on	on	ADP
app01-10111	129	59	the	the	DET
app01-10111	129	60	bottom	bottom	ADJ
app01-10111	129	61	edge	edge	NOUN
app01-10111	129	62	and	and	CCONJ
app01-10111	129	63	compression	compression	NOUN
app01-10111	129	64	on	on	ADP
app01-10111	129	65	the	the	DET
app01-10111	129	66	top	top	ADJ
app01-10111	129	67	edge	edge	NOUN
app01-10111	129	68	,	,	PUNCT
app01-10111	129	69	with	with	ADP
app01-10111	129	70	significant	significant	ADJ
app01-10111	129	71	shear	shear	NOUN
app01-10111	129	72	stresses	stress	NOUN
app01-10111	129	73	near	near	ADP
app01-10111	129	74	the	the	DET
app01-10111	129	75	neutral	neutral	ADJ
app01-10111	129	76	axis	axis	NOUN
app01-10111	129	77	.	.	PUNCT
app01-10111	130	1	additionally	additionally	ADV
app01-10111	130	2	,	,	PUNCT
app01-10111	130	3	the	the	DET
app01-10111	130	4	optimal	optimal	ADJ
app01-10111	130	5	design	design	NOUN
app01-10111	130	6	for	for	ADP
app01-10111	130	7	a	a	DET
app01-10111	130	8	single	single	ADJ
app01-10111	130	9	load	load	NOUN
app01-10111	130	10	application	application	NOUN
app01-10111	130	11	aligns	align	VERB
app01-10111	130	12	bars	bar	NOUN
app01-10111	130	13	’	'	PUNCT
app01-10111	130	14	fiber	fiber	NOUN
app01-10111	130	15	reinforcement	reinforcement	NOUN
app01-10111	130	16	axis	axis	NOUN
app01-10111	130	17	with	with	ADP
app01-10111	130	18	the	the	DET
app01-10111	130	19	principal	principal	ADJ
app01-10111	130	20	stress	stress	NOUN
app01-10111	130	21	at	at	ADP
app01-10111	130	22	each	each	DET
app01-10111	130	23	location	location	NOUN
app01-10111	130	24	[	[	X
app01-10111	130	25	14	14	NUM
app01-10111	130	26	]	]	PUNCT
app01-10111	130	27	.	.	PUNCT
app01-10111	131	1	in	in	ADP
app01-10111	131	2	table	table	NOUN
app01-10111	131	3	2	2	NUM
app01-10111	131	4	,	,	PUNCT
app01-10111	131	5	it	it	PRON
app01-10111	131	6	can	can	AUX
app01-10111	131	7	be	be	AUX
app01-10111	131	8	observed	observe	VERB
app01-10111	131	9	that	that	SCONJ
app01-10111	131	10	there	there	PRON
app01-10111	131	11	are	be	VERB
app01-10111	131	12	horizontal	horizontal	ADJ
app01-10111	131	13	bars	bar	NOUN
app01-10111	131	14	at	at	ADP
app01-10111	131	15	the	the	DET
app01-10111	131	16	top	top	ADJ
app01-10111	131	17	and	and	CCONJ
app01-10111	131	18	bottom	bottom	ADJ
app01-10111	131	19	edges	edge	NOUN
app01-10111	131	20	to	to	PART
app01-10111	131	21	represent	represent	VERB
app01-10111	131	22	the	the	DET
app01-10111	131	23	normal	normal	ADJ
app01-10111	131	24	stress	stress	NOUN
app01-10111	131	25	distribution	distribution	NOUN
app01-10111	131	26	,	,	PUNCT
app01-10111	131	27	while	while	SCONJ
app01-10111	131	28	inclined	inclined	ADJ
app01-10111	131	29	bars	bar	NOUN
app01-10111	131	30	are	be	AUX
app01-10111	131	31	used	use	VERB
app01-10111	131	32	for	for	ADP
app01-10111	131	33	the	the	DET
app01-10111	131	34	shear	shear	NOUN
app01-10111	131	35	stress	stress	NOUN
app01-10111	131	36	distribution	distribution	NOUN
app01-10111	131	37	.	.	PUNCT
app01-10111	132	1	the	the	DET
app01-10111	132	2	overlapping	overlap	VERB
app01-10111	132	3	bars	bar	NOUN
app01-10111	132	4	contribute	contribute	VERB
app01-10111	132	5	to	to	ADP
app01-10111	132	6	a	a	DET
app01-10111	132	7	larger	large	ADJ
app01-10111	132	8	second	second	ADJ
app01-10111	132	9	-	-	PUNCT
app01-10111	132	10	moment	moment	NOUN
app01-10111	132	11	area	area	NOUN
app01-10111	132	12	of	of	ADP
app01-10111	132	13	inertia	inertia	NOUN
app01-10111	132	14	,	,	PUNCT
app01-10111	132	15	resulting	result	VERB
app01-10111	132	16	in	in	ADP
app01-10111	132	17	higher	high	ADJ
app01-10111	132	18	bending	bending	NOUN
app01-10111	132	19	stiffness	stiffness	NOUN
app01-10111	132	20	,	,	PUNCT
app01-10111	132	21	which	which	PRON
app01-10111	132	22	optimally	optimally	ADV
app01-10111	132	23	supports	support	VERB
app01-10111	132	24	the	the	DET
app01-10111	132	25	applied	applied	ADJ
app01-10111	132	26	load	load	NOUN
app01-10111	132	27	.	.	PUNCT
app01-10111	133	1	furthermore	furthermore	ADV
app01-10111	133	2	,	,	PUNCT
app01-10111	133	3	the	the	DET
app01-10111	133	4	method	method	NOUN
app01-10111	133	5	proposed	propose	VERB
app01-10111	133	6	in	in	ADP
app01-10111	133	7	this	this	DET
app01-10111	133	8	study	study	NOUN
app01-10111	133	9	yields	yield	VERB
app01-10111	133	10	an	an	DET
app01-10111	133	11	optimal	optimal	ADJ
app01-10111	133	12	solution	solution	NOUN
app01-10111	133	13	comparable	comparable	ADJ
app01-10111	133	14	to	to	ADP
app01-10111	133	15	the	the	DET
app01-10111	133	16	findings	finding	NOUN
app01-10111	133	17	of	of	ADP
app01-10111	133	18	other	other	ADJ
app01-10111	133	19	density	density	NOUN
app01-10111	133	20	-	-	PUNCT
app01-10111	133	21	based	base	VERB
app01-10111	133	22	methods	method	NOUN
app01-10111	133	23	for	for	ADP
app01-10111	133	24	the	the	DET
app01-10111	133	25	minimum	minimum	ADJ
app01-10111	133	26	compliance	compliance	NOUN
app01-10111	133	27	problem	problem	NOUN
app01-10111	133	28	.	.	PUNCT
app01-10111	134	1	figure	figure	NOUN
app01-10111	134	2	2	2	NUM
app01-10111	134	3	illustrates	illustrate	VERB
app01-10111	134	4	that	that	SCONJ
app01-10111	134	5	the	the	DET
app01-10111	134	6	optimization	optimization	NOUN
app01-10111	134	7	process	process	NOUN
app01-10111	134	8	follows	follow	VERB
app01-10111	134	9	a	a	DET
app01-10111	134	10	usual	usual	ADJ
app01-10111	134	11	convergence	convergence	NOUN
app01-10111	134	12	pattern	pattern	NOUN
app01-10111	134	13	for	for	ADP
app01-10111	134	14	compliance	compliance	NOUN
app01-10111	134	15	;	;	PUNCT
app01-10111	134	16	there	there	PRON
app01-10111	134	17	is	be	VERB
app01-10111	134	18	a	a	DET
app01-10111	134	19	significant	significant	ADJ
app01-10111	134	20	decrease	decrease	NOUN
app01-10111	134	21	in	in	ADP
app01-10111	134	22	the	the	DET
app01-10111	134	23	initial	initial	ADJ
app01-10111	134	24	iterations	iteration	NOUN
app01-10111	134	25	,	,	PUNCT
app01-10111	134	26	accompanied	accompany	VERB
app01-10111	134	27	by	by	ADP
app01-10111	134	28	minor	minor	ADJ
app01-10111	134	29	adjustments	adjustment	NOUN
app01-10111	134	30	to	to	ADP
app01-10111	134	31	the	the	DET
app01-10111	134	32	design	design	NOUN
app01-10111	134	33	variables	variable	NOUN
app01-10111	134	34	in	in	ADP
app01-10111	134	35	the	the	DET
app01-10111	134	36	subsequent	subsequent	ADJ
app01-10111	134	37	optimization	optimization	NOUN
app01-10111	134	38	iterations	iteration	NOUN
app01-10111	134	39	.	.	PUNCT
app01-10111	135	1	additionally	additionally	ADV
app01-10111	135	2	,	,	PUNCT
app01-10111	135	3	it	it	PRON
app01-10111	135	4	displays	display	VERB
app01-10111	135	5	a	a	DET
app01-10111	135	6	standard	standard	ADJ
app01-10111	135	7	smooth	smooth	ADJ
app01-10111	135	8	convergence	convergence	NOUN
app01-10111	135	9	behavior	behavior	NOUN
app01-10111	135	10	.	.	PUNCT
app01-10111	136	1	5	5	X
app01-10111	136	2	.	.	X
app01-10111	136	3	conclusions	conclusion	NOUN
app01-10111	136	4	the	the	DET
app01-10111	136	5	numerical	numerical	ADJ
app01-10111	136	6	experiment	experiment	NOUN
app01-10111	136	7	results	result	NOUN
app01-10111	136	8	demonstrate	demonstrate	VERB
app01-10111	136	9	the	the	DET
app01-10111	136	10	effectiveness	effectiveness	NOUN
app01-10111	136	11	of	of	ADP
app01-10111	136	12	the	the	DET
app01-10111	136	13	gp	gp	NOUN
app01-10111	136	14	-	-	NOUN
app01-10111	136	15	am	be	AUX
app01-10111	136	16	in	in	ADP
app01-10111	136	17	generating	generate	VERB
app01-10111	136	18	optimal	optimal	ADJ
app01-10111	136	19	solutions	solution	NOUN
app01-10111	136	20	for	for	ADP
app01-10111	136	21	the	the	DET
app01-10111	136	22	minimum	minimum	ADJ
app01-10111	136	23	compliance	compliance	NOUN
app01-10111	136	24	problem	problem	NOUN
app01-10111	136	25	.	.	PUNCT
app01-10111	137	1	from	from	ADP
app01-10111	137	2	a	a	DET
app01-10111	137	3	manufacturing	manufacturing	NOUN
app01-10111	137	4	standpoint	standpoint	NOUN
app01-10111	137	5	,	,	PUNCT
app01-10111	137	6	the	the	DET
app01-10111	137	7	designs	design	NOUN
app01-10111	137	8	obtained	obtain	VERB
app01-10111	137	9	with	with	ADP
app01-10111	137	10	the	the	DET
app01-10111	137	11	proposed	propose	VERB
app01-10111	137	12	methods	method	NOUN
app01-10111	137	13	are	be	AUX
app01-10111	137	14	amenable	amenable	ADJ
app01-10111	137	15	to	to	ADP
app01-10111	137	16	manufacturing	manufacture	VERB
app01-10111	137	17	techniques	technique	NOUN
app01-10111	137	18	for	for	ADP
app01-10111	137	19	vscl	vscl	PROPN
app01-10111	137	20	.	.	PUNCT
app01-10111	138	1	although	although	SCONJ
app01-10111	138	2	not	not	PART
app01-10111	138	3	presented	present	VERB
app01-10111	138	4	here	here	ADV
app01-10111	138	5	for	for	ADP
app01-10111	138	6	brevity	brevity	NOUN
app01-10111	138	7	,	,	PUNCT
app01-10111	138	8	the	the	DET
app01-10111	138	9	proposed	propose	VERB
app01-10111	138	10	method	method	NOUN
app01-10111	138	11	produces	produce	VERB
app01-10111	138	12	good	good	ADJ
app01-10111	138	13	designs	design	NOUN
app01-10111	138	14	for	for	ADP
app01-10111	138	15	several	several	ADJ
app01-10111	138	16	design	design	NOUN
app01-10111	138	17	regions	region	NOUN
app01-10111	138	18	,	,	PUNCT
app01-10111	138	19	for	for	ADP
app01-10111	138	20	example	example	NOUN
app01-10111	138	21	,	,	PUNCT
app01-10111	138	22	problems	problem	NOUN
app01-10111	138	23	:	:	PUNCT
app01-10111	138	24	rectangular	rectangular	ADJ
app01-10111	138	25	plate	plate	NOUN
app01-10111	138	26	in	in	ADP
app01-10111	138	27	pure	pure	ADJ
app01-10111	138	28	torsion	torsion	NOUN
app01-10111	138	29	;	;	PUNCT
app01-10111	138	30	cantilever	cantilever	NOUN
app01-10111	138	31	beam	beam	NOUN
app01-10111	138	32	under	under	ADP
app01-10111	138	33	inand	inand	NOUN
app01-10111	138	34	out	out	ADP
app01-10111	138	35	-	-	PUNCT
app01-10111	138	36	of	of	ADP
app01-10111	138	37	-	-	PUNCT
app01-10111	138	38	plane	plane	NOUN
app01-10111	138	39	bending	bending	NOUN
app01-10111	138	40	;	;	PUNCT
app01-10111	138	41	and	and	CCONJ
app01-10111	138	42	square	square	ADJ
app01-10111	138	43	membrane	membrane	NOUN
app01-10111	138	44	in	in	ADP
app01-10111	138	45	out	out	ADP
app01-10111	138	46	-	-	PUNCT
app01-10111	138	47	of	of	ADP
app01-10111	138	48	-	-	PUNCT
app01-10111	138	49	plane	plane	NOUN
app01-10111	138	50	bending	bending	NOUN
app01-10111	138	51	.	.	PUNCT
app01-10111	139	1	25	25	NUM
app01-10111	139	2	y.	y.	PROPN
app01-10111	139	3	gandhi	gandhi	PROPN
app01-10111	139	4	,	,	PUNCT
app01-10111	139	5	j.	j.	PROPN
app01-10111	139	6	norato	norato	PROPN
app01-10111	139	7	,	,	PUNCT
app01-10111	139	8	a.	a.	NOUN
app01-10111	139	9	pavlovic	pavlovic	PROPN
app01-10111	139	10	,	,	PUNCT
app01-10111	139	11	g.	g.	PROPN
app01-10111	139	12	minak	minak	PROPN
app01-10111	139	13	acta	acta	PROPN
app01-10111	139	14	polytechnica	polytechnica	PROPN
app01-10111	139	15	ctu	ctu	NOUN
app01-10111	139	16	proceedings	proceeding	NOUN
app01-10111	139	17	6	6	NUM
app01-10111	139	18	.	.	X
app01-10111	139	19	acknowledgement	acknowledgement	NOUN
app01-10111	139	20	financed	finance	VERB
app01-10111	139	21	by	by	ADP
app01-10111	139	22	the	the	DET
app01-10111	139	23	european	european	PROPN
app01-10111	139	24	union	union	PROPN
app01-10111	139	25	-	-	PUNCT
app01-10111	139	26	nextgenerationeu	nextgenerationeu	PROPN
app01-10111	139	27	(	(	PUNCT
app01-10111	139	28	grant	grant	VERB
app01-10111	139	29	no	no	DET
app01-10111	139	30	2022nw83re_002	2022nw83re_002	NUM
app01-10111	139	31	)	)	PUNCT
app01-10111	139	32	.	.	PUNCT
app01-10111	140	1	the	the	DET
app01-10111	140	2	opinions	opinion	NOUN
app01-10111	140	3	expressed	express	VERB
app01-10111	140	4	are	be	AUX
app01-10111	140	5	those	those	PRON
app01-10111	140	6	of	of	ADP
app01-10111	140	7	the	the	DET
app01-10111	140	8	authors	author	NOUN
app01-10111	140	9	only	only	ADV
app01-10111	140	10	and	and	CCONJ
app01-10111	140	11	should	should	AUX
app01-10111	140	12	not	not	PART
app01-10111	140	13	be	be	AUX
app01-10111	140	14	considered	consider	VERB
app01-10111	140	15	representative	representative	NOUN
app01-10111	140	16	of	of	ADP
app01-10111	140	17	the	the	DET
app01-10111	140	18	european	european	PROPN
app01-10111	140	19	union	union	PROPN
app01-10111	140	20	or	or	CCONJ
app01-10111	140	21	the	the	DET
app01-10111	140	22	european	european	PROPN
app01-10111	140	23	commission	commission	PROPN
app01-10111	140	24	’s	’s	PART
app01-10111	140	25	official	official	ADJ
app01-10111	140	26	position	position	NOUN
app01-10111	140	27	.	.	PUNCT
app01-10111	141	1	neither	neither	CCONJ
app01-10111	141	2	the	the	DET
app01-10111	141	3	european	european	PROPN
app01-10111	141	4	union	union	PROPN
app01-10111	141	5	nor	nor	CCONJ
app01-10111	141	6	the	the	DET
app01-10111	141	7	european	european	PROPN
app01-10111	141	8	commission	commission	PROPN
app01-10111	141	9	can	can	AUX
app01-10111	141	10	be	be	AUX
app01-10111	141	11	held	hold	VERB
app01-10111	141	12	responsible	responsible	ADJ
app01-10111	141	13	for	for	ADP
app01-10111	141	14	them	they	PRON
app01-10111	141	15	.	.	PUNCT
app01-10111	142	1	references	reference	NOUN
app01-10111	142	2	[	[	X
app01-10111	142	3	1	1	NUM
app01-10111	142	4	]	]	PUNCT
app01-10111	142	5	h.	h.	PROPN
app01-10111	142	6	ghiasi	ghiasi	PROPN
app01-10111	142	7	,	,	PUNCT
app01-10111	142	8	d.	d.	PROPN
app01-10111	142	9	pasini	pasini	PROPN
app01-10111	142	10	,	,	PUNCT
app01-10111	142	11	l.	l.	PROPN
app01-10111	142	12	lessard	lessard	PROPN
app01-10111	142	13	.	.	PUNCT
app01-10111	143	1	optimum	optimum	ADJ
app01-10111	143	2	stacking	stacking	NOUN
app01-10111	143	3	sequence	sequence	NOUN
app01-10111	143	4	design	design	NOUN
app01-10111	143	5	of	of	ADP
app01-10111	143	6	composite	composite	ADJ
app01-10111	143	7	materials	material	NOUN
app01-10111	143	8	part	part	NOUN
app01-10111	143	9	i	i	PRON
app01-10111	143	10	:	:	PUNCT
app01-10111	143	11	constant	constant	ADJ
app01-10111	143	12	stiffness	stiffness	NOUN
app01-10111	143	13	design	design	NOUN
app01-10111	143	14	.	.	PUNCT
app01-10111	144	1	composite	composite	ADJ
app01-10111	144	2	structures	structure	NOUN
app01-10111	144	3	90(1):1–11	90(1):1–11	NUM
app01-10111	144	4	,	,	PUNCT
app01-10111	144	5	2009	2009	NUM
app01-10111	144	6	.	.	PUNCT
app01-10111	145	1	https	https	NOUN
app01-10111	145	2	:	:	PUNCT
app01-10111	145	3	//doi.org/10.1016	//doi.org/10.1016	PROPN
app01-10111	145	4	/	/	SYM
app01-10111	145	5	j.compstruct.2009.01.006	j.compstruct.2009.01.006	PROPN
app01-10111	145	6	[	[	X
app01-10111	145	7	2	2	NUM
app01-10111	145	8	]	]	X
app01-10111	145	9	h.	h.	NOUN
app01-10111	145	10	ghiasi	ghiasi	PROPN
app01-10111	145	11	,	,	PUNCT
app01-10111	145	12	k.	k.	PROPN
app01-10111	145	13	fayazbakhsh	fayazbakhsh	PROPN
app01-10111	145	14	,	,	PUNCT
app01-10111	145	15	d.	d.	PROPN
app01-10111	145	16	pasini	pasini	PROPN
app01-10111	145	17	,	,	PUNCT
app01-10111	145	18	l.	l.	PROPN
app01-10111	145	19	lessard	lessard	PROPN
app01-10111	145	20	.	.	PUNCT
app01-10111	146	1	optimum	optimum	ADJ
app01-10111	146	2	stacking	stacking	NOUN
app01-10111	146	3	sequence	sequence	NOUN
app01-10111	146	4	design	design	NOUN
app01-10111	146	5	of	of	ADP
app01-10111	146	6	composite	composite	ADJ
app01-10111	146	7	materials	material	NOUN
app01-10111	146	8	part	part	NOUN
app01-10111	146	9	ii	ii	PROPN
app01-10111	146	10	:	:	PUNCT
app01-10111	146	11	variable	variable	ADJ
app01-10111	146	12	stiffness	stiffness	NOUN
app01-10111	146	13	design	design	NOUN
app01-10111	146	14	.	.	PUNCT
app01-10111	147	1	composite	composite	ADJ
app01-10111	147	2	structures	structure	NOUN
app01-10111	147	3	93(1):1–13	93(1):1–13	NUM
app01-10111	147	4	,	,	PUNCT
app01-10111	147	5	2010	2010	NUM
app01-10111	147	6	.	.	PUNCT
app01-10111	148	1	https	https	NOUN
app01-10111	148	2	:	:	PUNCT
app01-10111	148	3	//doi.org/10.1016	//doi.org/10.1016	PROPN
app01-10111	148	4	/	/	SYM
app01-10111	148	5	j.compstruct.2010.06.001	j.compstruct.2010.06.001	PROPN
app01-10111	149	1	[	[	X
app01-10111	149	2	3	3	X
app01-10111	149	3	]	]	X
app01-10111	149	4	j.	j.	PROPN
app01-10111	149	5	plocher	plocher	PROPN
app01-10111	149	6	,	,	PUNCT
app01-10111	149	7	a.	a.	PROPN
app01-10111	149	8	panesar	panesar	PROPN
app01-10111	149	9	.	.	PUNCT
app01-10111	150	1	review	review	NOUN
app01-10111	150	2	on	on	ADP
app01-10111	150	3	design	design	NOUN
app01-10111	150	4	and	and	CCONJ
app01-10111	150	5	structural	structural	ADJ
app01-10111	150	6	optimisation	optimisation	NOUN
app01-10111	150	7	in	in	ADP
app01-10111	150	8	additive	additive	ADJ
app01-10111	150	9	manufacturing	manufacturing	NOUN
app01-10111	150	10	:	:	PUNCT
app01-10111	150	11	towards	towards	ADP
app01-10111	150	12	next	next	ADJ
app01-10111	150	13	-	-	PUNCT
app01-10111	150	14	generation	generation	NOUN
app01-10111	150	15	lightweight	lightweight	ADJ
app01-10111	150	16	structures	structure	NOUN
app01-10111	150	17	.	.	PUNCT
app01-10111	151	1	materials	material	NOUN
app01-10111	151	2	&	&	CCONJ
app01-10111	151	3	design	design	NOUN
app01-10111	151	4	183:108164	183:108164	NUM
app01-10111	151	5	,	,	PUNCT
app01-10111	151	6	2019	2019	NUM
app01-10111	151	7	.	.	PUNCT
app01-10111	152	1	https://doi.org/10.1016/j.matdes.2019.108164	https://doi.org/10.1016/j.matdes.2019.108164	ADJ
app01-10111	152	2	[	[	X
app01-10111	152	3	4	4	NUM
app01-10111	152	4	]	]	X
app01-10111	152	5	g.	g.	PROPN
app01-10111	152	6	i.	i.	PROPN
app01-10111	152	7	n.	n.	PROPN
app01-10111	152	8	rozvany	rozvany	PROPN
app01-10111	152	9	.	.	PUNCT
app01-10111	153	1	a	a	DET
app01-10111	153	2	critical	critical	ADJ
app01-10111	153	3	review	review	NOUN
app01-10111	153	4	of	of	ADP
app01-10111	153	5	established	establish	VERB
app01-10111	153	6	methods	method	NOUN
app01-10111	153	7	of	of	ADP
app01-10111	153	8	structural	structural	ADJ
app01-10111	153	9	topology	topology	NOUN
app01-10111	153	10	optimization	optimization	NOUN
app01-10111	153	11	.	.	PUNCT
app01-10111	154	1	structural	structural	ADJ
app01-10111	154	2	and	and	CCONJ
app01-10111	154	3	multidisciplinary	multidisciplinary	ADJ
app01-10111	154	4	optimization	optimization	NOUN
app01-10111	154	5	37:217–237	37:217–237	PROPN
app01-10111	154	6	,	,	PUNCT
app01-10111	154	7	2009	2009	NUM
app01-10111	154	8	.	.	PUNCT
app01-10111	155	1	https://doi.org/10.1007/s00158-007-0217-0	https://doi.org/10.1007/s00158-007-0217-0	NUM
app01-10111	156	1	[	[	X
app01-10111	156	2	5	5	X
app01-10111	156	3	]	]	PUNCT
app01-10111	156	4	n.	n.	PROPN
app01-10111	156	5	p.	p.	PROPN
app01-10111	157	1	van	van	PROPN
app01-10111	157	2	dijk	dijk	PROPN
app01-10111	157	3	,	,	PUNCT
app01-10111	157	4	k.	k.	PROPN
app01-10111	157	5	maute	maute	PROPN
app01-10111	157	6	,	,	PUNCT
app01-10111	157	7	m.	m.	NOUN
app01-10111	157	8	langelaar	langelaar	NOUN
app01-10111	157	9	,	,	PUNCT
app01-10111	157	10	f.	f.	PROPN
app01-10111	157	11	van	van	PROPN
app01-10111	157	12	keulen	keulen	PROPN
app01-10111	157	13	.	.	PUNCT
app01-10111	158	1	level	level	NOUN
app01-10111	158	2	-	-	PUNCT
app01-10111	158	3	set	set	VERB
app01-10111	158	4	methods	method	NOUN
app01-10111	158	5	for	for	ADP
app01-10111	158	6	structural	structural	ADJ
app01-10111	158	7	topology	topology	NOUN
app01-10111	158	8	optimization	optimization	NOUN
app01-10111	158	9	:	:	PUNCT
app01-10111	158	10	a	a	DET
app01-10111	158	11	review	review	NOUN
app01-10111	158	12	.	.	PUNCT
app01-10111	159	1	structural	structural	ADJ
app01-10111	159	2	and	and	CCONJ
app01-10111	159	3	multidisciplinary	multidisciplinary	ADJ
app01-10111	159	4	optimization	optimization	NOUN
app01-10111	159	5	48:437–472	48:437–472	PROPN
app01-10111	159	6	,	,	PUNCT
app01-10111	159	7	2013	2013	NUM
app01-10111	159	8	.	.	PUNCT
app01-10111	160	1	https://doi.org/10.1007/s00158-013-0912-y	https://doi.org/10.1007/s00158-013-0912-y	NOUN
app01-10111	161	1	[	[	X
app01-10111	161	2	6	6	NUM
app01-10111	161	3	]	]	PUNCT
app01-10111	161	4	f.	f.	PROPN
app01-10111	161	5	wein	wein	PROPN
app01-10111	161	6	,	,	PUNCT
app01-10111	161	7	p.	p.	PROPN
app01-10111	161	8	d.	d.	PROPN
app01-10111	161	9	dunning	dunning	PROPN
app01-10111	161	10	,	,	PUNCT
app01-10111	161	11	j.	j.	PROPN
app01-10111	161	12	a.	a.	PROPN
app01-10111	161	13	norato	norato	PROPN
app01-10111	161	14	.	.	PUNCT
app01-10111	162	1	a	a	DET
app01-10111	162	2	review	review	NOUN
app01-10111	162	3	on	on	ADP
app01-10111	162	4	feature	feature	NOUN
app01-10111	162	5	-	-	PUNCT
app01-10111	162	6	mapping	mapping	NOUN
app01-10111	162	7	methods	method	NOUN
app01-10111	162	8	for	for	ADP
app01-10111	162	9	structural	structural	ADJ
app01-10111	162	10	optimization	optimization	NOUN
app01-10111	162	11	.	.	PUNCT
app01-10111	163	1	structural	structural	ADJ
app01-10111	163	2	and	and	CCONJ
app01-10111	163	3	multidisciplinary	multidisciplinary	ADJ
app01-10111	163	4	optimization	optimization	NOUN
app01-10111	163	5	62:1597–1638	62:1597–1638	NUM
app01-10111	163	6	,	,	PUNCT
app01-10111	163	7	2020	2020	NUM
app01-10111	163	8	.	.	PUNCT
app01-10111	164	1	https://doi.org/10.1007/s00158-020-02649-6	https://doi.org/10.1007/s00158-020-02649-6	NUM
app01-10111	165	1	[	[	X
app01-10111	165	2	7	7	X
app01-10111	165	3	]	]	X
app01-10111	165	4	o.	o.	NOUN
app01-10111	165	5	sigmund	sigmund	PROPN
app01-10111	165	6	,	,	PUNCT
app01-10111	165	7	k.	k.	PROPN
app01-10111	165	8	maute	maute	PROPN
app01-10111	165	9	.	.	PUNCT
app01-10111	166	1	topology	topology	NOUN
app01-10111	166	2	optimization	optimization	NOUN
app01-10111	166	3	approaches	approach	NOUN
app01-10111	166	4	.	.	PUNCT
app01-10111	167	1	structural	structural	ADJ
app01-10111	167	2	and	and	CCONJ
app01-10111	167	3	multidisciplinary	multidisciplinary	ADJ
app01-10111	167	4	optimization	optimization	NOUN
app01-10111	167	5	48(6):1031–1055	48(6):1031–1055	NUM
app01-10111	167	6	,	,	PUNCT
app01-10111	167	7	2013	2013	NUM
app01-10111	167	8	.	.	PUNCT
app01-10111	168	1	https://doi.org/10.1007/s00158-013-0978-6	https://doi.org/10.1007/s00158-013-0978-6	PUNCT
app01-10111	169	1	[	[	X
app01-10111	169	2	8	8	NUM
app01-10111	169	3	]	]	PUNCT
app01-10111	169	4	j.	j.	PROPN
app01-10111	169	5	d.	d.	PROPN
app01-10111	169	6	deaton	deaton	PROPN
app01-10111	169	7	,	,	PUNCT
app01-10111	169	8	r.	r.	PROPN
app01-10111	169	9	v.	v.	PROPN
app01-10111	169	10	grandhi	grandhi	PROPN
app01-10111	169	11	.	.	PUNCT
app01-10111	170	1	a	a	DET
app01-10111	170	2	survey	survey	NOUN
app01-10111	170	3	of	of	ADP
app01-10111	170	4	structural	structural	ADJ
app01-10111	170	5	and	and	CCONJ
app01-10111	170	6	multidisciplinary	multidisciplinary	ADJ
app01-10111	170	7	continuum	continuum	ADJ
app01-10111	170	8	topology	topology	NOUN
app01-10111	170	9	optimization	optimization	NOUN
app01-10111	170	10	:	:	PUNCT
app01-10111	170	11	post	post	NOUN
app01-10111	170	12	2000	2000	NUM
app01-10111	170	13	.	.	PUNCT
app01-10111	171	1	structural	structural	ADJ
app01-10111	171	2	and	and	CCONJ
app01-10111	171	3	multidisciplinary	multidisciplinary	ADJ
app01-10111	171	4	optimization	optimization	NOUN
app01-10111	171	5	49:1–38	49:1–38	NUM
app01-10111	171	6	,	,	PUNCT
app01-10111	171	7	2014	2014	NUM
app01-10111	171	8	.	.	PUNCT
app01-10111	172	1	https://doi.org/10.1007/s00158-013-0956-z	https://doi.org/10.1007/s00158-013-0956-z	NOUN
app01-10111	173	1	[	[	X
app01-10111	173	2	9	9	NUM
app01-10111	173	3	]	]	X
app01-10111	173	4	y.	y.	PROPN
app01-10111	173	5	gandhi	gandhi	PROPN
app01-10111	173	6	,	,	PUNCT
app01-10111	173	7	g.	g.	PROPN
app01-10111	173	8	minak	minak	PROPN
app01-10111	173	9	.	.	PUNCT
app01-10111	174	1	a	a	DET
app01-10111	174	2	review	review	NOUN
app01-10111	174	3	on	on	ADP
app01-10111	174	4	topology	topology	NOUN
app01-10111	174	5	optimization	optimization	NOUN
app01-10111	174	6	strategies	strategy	NOUN
app01-10111	174	7	for	for	ADP
app01-10111	174	8	additively	additively	ADV
app01-10111	174	9	manufactured	manufacture	VERB
app01-10111	174	10	continuous	continuous	ADJ
app01-10111	174	11	fiber	fiber	NOUN
app01-10111	174	12	-	-	PUNCT
app01-10111	174	13	reinforced	reinforce	VERB
app01-10111	174	14	composite	composite	ADJ
app01-10111	174	15	structures	structure	NOUN
app01-10111	174	16	.	.	PUNCT
app01-10111	175	1	applied	apply	VERB
app01-10111	175	2	sciences	science	NOUN
app01-10111	175	3	12(21):11211	12(21):11211	NUM
app01-10111	175	4	,	,	PUNCT
app01-10111	175	5	2022	2022	NUM
app01-10111	175	6	.	.	PUNCT
app01-10111	175	7	https://doi.org/10.3390/app122111211	https://doi.org/10.3390/app122111211	NOUN
app01-10111	176	1	[	[	X
app01-10111	176	2	10	10	NUM
app01-10111	176	3	]	]	X
app01-10111	176	4	h.	h.	PROPN
app01-10111	176	5	smith	smith	PROPN
app01-10111	176	6	,	,	PUNCT
app01-10111	176	7	j.	j.	PROPN
app01-10111	176	8	a.	a.	PROPN
app01-10111	176	9	norato	norato	PROPN
app01-10111	176	10	.	.	PUNCT
app01-10111	177	1	topology	topology	NOUN
app01-10111	177	2	optimization	optimization	NOUN
app01-10111	177	3	with	with	ADP
app01-10111	177	4	discrete	discrete	ADJ
app01-10111	177	5	geometric	geometric	ADJ
app01-10111	177	6	components	component	NOUN
app01-10111	177	7	made	make	VERB
app01-10111	177	8	of	of	ADP
app01-10111	177	9	composite	composite	ADJ
app01-10111	177	10	materials	material	NOUN
app01-10111	177	11	.	.	PUNCT
app01-10111	178	1	computer	computer	NOUN
app01-10111	178	2	methods	method	NOUN
app01-10111	178	3	in	in	ADP
app01-10111	178	4	applied	applied	ADJ
app01-10111	178	5	mechanics	mechanic	NOUN
app01-10111	178	6	and	and	CCONJ
app01-10111	178	7	engineering	engineering	NOUN
app01-10111	178	8	376:113582	376:113582	NUM
app01-10111	178	9	,	,	PUNCT
app01-10111	178	10	2021	2021	NUM
app01-10111	178	11	.	.	PUNCT
app01-10111	179	1	https://doi.org/10.1016/j.cma.2020.113582	https://doi.org/10.1016/j.cma.2020.113582	PROPN
app01-10111	180	1	[	[	X
app01-10111	180	2	11	11	NUM
app01-10111	180	3	]	]	PUNCT
app01-10111	180	4	m.	m.	NOUN
app01-10111	180	5	p.	p.	PROPN
app01-10111	180	6	bendsøe	bendsøe	PROPN
app01-10111	180	7	,	,	PUNCT
app01-10111	180	8	o.	o.	PROPN
app01-10111	180	9	sigmund	sigmund	NOUN
app01-10111	180	10	.	.	PUNCT
app01-10111	181	1	material	material	NOUN
app01-10111	181	2	interpolation	interpolation	NOUN
app01-10111	181	3	schemes	scheme	NOUN
app01-10111	181	4	in	in	ADP
app01-10111	181	5	topology	topology	NOUN
app01-10111	181	6	optimization	optimization	NOUN
app01-10111	181	7	.	.	PUNCT
app01-10111	182	1	archive	archive	NOUN
app01-10111	182	2	of	of	ADP
app01-10111	182	3	applied	apply	VERB
app01-10111	182	4	mechanics	mechanic	NOUN
app01-10111	182	5	69:635–654	69:635–654	PROPN
app01-10111	182	6	,	,	PUNCT
app01-10111	182	7	1999	1999	NUM
app01-10111	182	8	.	.	PUNCT
app01-10111	183	1	https://doi.org/10.1007/s004190050248	https://doi.org/10.1007/s004190050248	NUM
app01-10111	184	1	[	[	X
app01-10111	184	2	12	12	NUM
app01-10111	184	3	]	]	PUNCT
app01-10111	184	4	k.	k.	PROPN
app01-10111	184	5	svanberg	svanberg	PROPN
app01-10111	184	6	.	.	PUNCT
app01-10111	185	1	the	the	DET
app01-10111	185	2	method	method	NOUN
app01-10111	185	3	of	of	ADP
app01-10111	185	4	moving	move	VERB
app01-10111	185	5	asymptotes	asymptote	NOUN
app01-10111	185	6	–	–	PUNCT
app01-10111	185	7	a	a	DET
app01-10111	185	8	new	new	ADJ
app01-10111	185	9	method	method	NOUN
app01-10111	185	10	for	for	ADP
app01-10111	185	11	structural	structural	ADJ
app01-10111	185	12	optimization	optimization	NOUN
app01-10111	185	13	.	.	PUNCT
app01-10111	186	1	international	international	ADJ
app01-10111	186	2	journal	journal	PROPN
app01-10111	186	3	for	for	ADP
app01-10111	186	4	numerical	numerical	ADJ
app01-10111	186	5	methods	method	NOUN
app01-10111	186	6	in	in	ADP
app01-10111	186	7	engineering	engineer	VERB
app01-10111	186	8	24(2):359	24(2):359	NUM
app01-10111	186	9	–	–	PUNCT
app01-10111	186	10	373	373	NUM
app01-10111	186	11	,	,	PUNCT
app01-10111	186	12	1987	1987	NUM
app01-10111	186	13	.	.	PUNCT
app01-10111	187	1	https://doi.org/10.1002/nme.1620240207	https://doi.org/10.1002/nme.1620240207	NOUN
app01-10111	188	1	[	[	X
app01-10111	188	2	13	13	NUM
app01-10111	188	3	]	]	PUNCT
app01-10111	188	4	k.	k.	PROPN
app01-10111	188	5	svanberg	svanberg	PROPN
app01-10111	188	6	.	.	PUNCT
app01-10111	189	1	mma	mma	PROPN
app01-10111	189	2	and	and	CCONJ
app01-10111	189	3	gcmma	gcmma	PROPN
app01-10111	189	4	,	,	PUNCT
app01-10111	189	5	versions	version	NOUN
app01-10111	189	6	september	september	PROPN
app01-10111	189	7	2007	2007	NUM
app01-10111	189	8	.	.	PUNCT
app01-10111	190	1	optimization	optimization	NOUN
app01-10111	190	2	and	and	CCONJ
app01-10111	190	3	systems	system	NOUN
app01-10111	190	4	theory	theory	NOUN
app01-10111	190	5	104	104	NUM
app01-10111	190	6	,	,	PUNCT
app01-10111	190	7	2007	2007	NUM
app01-10111	190	8	.	.	PUNCT
app01-10111	191	1	[	[	X
app01-10111	191	2	14	14	NUM
app01-10111	191	3	]	]	X
app01-10111	191	4	p.	p.	NOUN
app01-10111	191	5	pedersen	pedersen	PROPN
app01-10111	191	6	.	.	PUNCT
app01-10111	192	1	some	some	DET
app01-10111	192	2	general	general	ADJ
app01-10111	192	3	optimal	optimal	ADJ
app01-10111	192	4	design	design	NOUN
app01-10111	192	5	results	result	NOUN
app01-10111	192	6	using	use	VERB
app01-10111	192	7	anisotropic	anisotropic	NOUN
app01-10111	192	8	,	,	PUNCT
app01-10111	192	9	power	power	NOUN
app01-10111	192	10	law	law	NOUN
app01-10111	192	11	nonlinear	nonlinear	NOUN
app01-10111	192	12	elasticity	elasticity	NOUN
app01-10111	192	13	.	.	PUNCT
app01-10111	193	1	structural	structural	ADJ
app01-10111	193	2	optimization	optimization	NOUN
app01-10111	193	3	15:73–80	15:73–80	PROPN
app01-10111	193	4	,	,	PUNCT
app01-10111	193	5	1998	1998	NUM
app01-10111	193	6	.	.	PUNCT
app01-10111	194	1	https://doi.org/10.1007/bf01278492	https://doi.org/10.1007/bf01278492	PROPN
app01-10111	194	2	26	26	NUM
app01-10111	194	3	https://doi.org/10.1016/j.compstruct.2009.01.006	https://doi.org/10.1016/j.compstruct.2009.01.006	PROPN
app01-10111	194	4	https://doi.org/10.1016/j.compstruct.2009.01.006	https://doi.org/10.1016/j.compstruct.2009.01.006	X
app01-10111	194	5	https://doi.org/10.1016/j.compstruct.2010.06.001	https://doi.org/10.1016/j.compstruct.2010.06.001	NOUN
app01-10111	194	6	https://doi.org/10.1016/j.compstruct.2010.06.001	https://doi.org/10.1016/j.compstruct.2010.06.001	PROPN
app01-10111	194	7	https://doi.org/10.1016/j.matdes.2019.108164	https://doi.org/10.1016/j.matdes.2019.108164	NOUN
app01-10111	194	8	https://doi.org/10.1007/s00158-007-0217-0	https://doi.org/10.1007/s00158-007-0217-0	NUM
app01-10111	195	1	https://doi.org/10.1007/s00158-013-0912-y	https://doi.org/10.1007/s00158-013-0912-y	ADP
app01-10111	195	2	https://doi.org/10.1007/s00158-020-02649-6	https://doi.org/10.1007/s00158-020-02649-6	NUM
app01-10111	195	3	https://doi.org/10.1007/s00158-013-0978-6	https://doi.org/10.1007/s00158-013-0978-6	NUM
app01-10111	195	4	https://doi.org/10.1007/s00158-013-0956-z	https://doi.org/10.1007/s00158-013-0956-z	NOUN
app01-10111	195	5	https://doi.org/10.3390/app122111211	https://doi.org/10.3390/app122111211	NOUN
app01-10111	196	1	https://doi.org/10.1016/j.cma.2020.113582	https://doi.org/10.1016/j.cma.2020.113582	PROPN
app01-10111	196	2	https://doi.org/10.1007/s004190050248	https://doi.org/10.1007/s004190050248	PROPN
app01-10111	196	3	https://doi.org/10.1002/nme.1620240207	https://doi.org/10.1002/nme.1620240207	PROPN
app01-10111	196	4	https://doi.org/10.1007/bf01278492	https://doi.org/10.1007/bf01278492	PROPN
app01-10111	196	5	acta	acta	PROPN
app01-10111	196	6	polytechnica	polytechnica	PROPN
app01-10111	196	7	ctu	ctu	NOUN
app01-10111	196	8	proceedings	proceeding	NOUN
app01-10111	196	9	48:22–26	48:22–26	PROPN
app01-10111	196	10	,	,	PUNCT
app01-10111	196	11	2024	2024	NUM
app01-10111	196	12	1	1	NUM
app01-10111	196	13	introduction	introduction	NOUN
app01-10111	196	14	2	2	NUM
app01-10111	196	15	geometry	geometry	NOUN
app01-10111	196	16	projection	projection	NOUN
app01-10111	196	17	formulation	formulation	NOUN
app01-10111	196	18	for	for	ADP
app01-10111	196	19	variable	variable	ADJ
app01-10111	196	20	-	-	PUNCT
app01-10111	196	21	stiffness	stiffness	NOUN
app01-10111	196	22	composite	composite	ADJ
app01-10111	196	23	laminates	laminate	NOUN
app01-10111	196	24	2.1	2.1	NUM
app01-10111	196	25	combining	combine	VERB
app01-10111	196	26	components	component	NOUN
app01-10111	196	27	2.2	2.2	NUM
app01-10111	196	28	elasticity	elasticity	NOUN
app01-10111	196	29	tensor	tensor	NOUN
app01-10111	196	30	for	for	ADP
app01-10111	196	31	overlapping	overlap	VERB
app01-10111	196	32	components	component	NOUN
app01-10111	196	33	2.3	2.3	NUM
app01-10111	196	34	elemental	elemental	ADJ
app01-10111	196	35	laminate	laminate	NOUN
app01-10111	196	36	elasticity	elasticity	NOUN
app01-10111	196	37	matrix	matrix	NOUN
app01-10111	196	38	3	3	NUM
app01-10111	196	39	optimization	optimization	NOUN
app01-10111	196	40	problem	problem	NOUN
app01-10111	196	41	and	and	CCONJ
app01-10111	196	42	sensitivity	sensitivity	NOUN
app01-10111	196	43	analysis	analysis	NOUN
app01-10111	196	44	4	4	NUM
app01-10111	196	45	examples	example	NOUN
app01-10111	196	46	4.1	4.1	NUM
app01-10111	196	47	beam	beam	NOUN
app01-10111	196	48	in	in	ADP
app01-10111	196	49	3	3	NUM
app01-10111	196	50	-	-	PUNCT
app01-10111	196	51	point	point	NOUN
app01-10111	196	52	bending	bend	VERB
app01-10111	196	53	5	5	NUM
app01-10111	196	54	conclusions	conclusion	NOUN
app01-10111	196	55	6	6	NUM
app01-10111	196	56	acknowledgement	acknowledgement	NOUN
app01-10111	196	57	references	reference	NOUN