id	sid	tid	token	lemma	pos
cana-280	1	1	communications	communication	NOUN
cana-280	1	2	on	on	ADP
cana-280	1	3	applied	apply	VERB
cana-280	1	4	nonlinear	nonlinear	ADJ
cana-280	1	5	analysis	analysis	NOUN
cana-280	1	6	issn	issn	NOUN
cana-280	1	7	:	:	PUNCT
cana-280	1	8	1074	1074	NUM
cana-280	1	9	-	-	PUNCT
cana-280	1	10	133x	133x	NUM
cana-280	1	11	vol	vol	NOUN
cana-280	1	12	30	30	NUM
cana-280	1	13	no	no	NOUN
cana-280	1	14	.	.	NOUN
cana-280	1	15	4	4	NUM
cana-280	1	16	(	(	PUNCT
cana-280	1	17	2023	2023	NUM
cana-280	1	18	)	)	PUNCT
cana-280	1	19	17	17	NUM
cana-280	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	1	21	topology	topology	NOUN
cana-280	1	22	optimization	optimization	NOUN
cana-280	1	23	using	use	VERB
cana-280	1	24	nonlinear	nonlinear	ADJ
cana-280	1	25	finite	finite	PROPN
cana-280	1	26	element	element	NOUN
cana-280	1	27	analysis	analysis	NOUN
cana-280	1	28	om	om	PROPN
cana-280	1	29	hari	hari	PROPN
cana-280	1	30	naryan	naryan	PROPN
cana-280	1	31	kushwaha	kushwaha	X
cana-280	1	32	assistant	assistant	PROPN
cana-280	1	33	professor	professor	NOUN
cana-280	1	34	,	,	PUNCT
cana-280	1	35	department	department	NOUN
cana-280	1	36	of	of	ADP
cana-280	1	37	mathematics	mathematic	NOUN
cana-280	1	38	,	,	PUNCT
cana-280	1	39	faculty	faculty	NOUN
cana-280	1	40	of	of	ADP
cana-280	1	41	science	science	NOUN
cana-280	1	42	,	,	PUNCT
cana-280	1	43	kalinga	kalinga	PROPN
cana-280	1	44	university	university	PROPN
cana-280	1	45	,	,	PUNCT
cana-280	1	46	naya	naya	PROPN
cana-280	1	47	raipur	raipur	PROPN
cana-280	1	48	,	,	PUNCT
cana-280	1	49	chhattisgarh	chhattisgarh	PROPN
cana-280	1	50	,	,	PUNCT
cana-280	1	51	india	india	PROPN
cana-280	1	52	.	.	PUNCT
cana-280	2	1	mail	mail	NOUN
cana-280	3	1	i	i	PROPN
cana-280	3	2	d	d	PROPN
cana-280	3	3	:	:	PUNCT
cana-280	3	4	ku.omharinarayan@kalingauniversity.ac.in	ku.omharinarayan@kalingauniversity.ac.in	PROPN
cana-280	3	5	article	article	NOUN
cana-280	3	6	history	history	NOUN
cana-280	3	7	:	:	PUNCT
cana-280	3	8	received	receive	VERB
cana-280	3	9	:	:	PUNCT
cana-280	3	10	12	12	NUM
cana-280	3	11	-	-	SYM
cana-280	3	12	08	08	NUM
cana-280	3	13	-	-	PUNCT
cana-280	3	14	2023	2023	NUM
cana-280	3	15	revised	revise	VERB
cana-280	3	16	:	:	PUNCT
cana-280	3	17	20	20	NUM
cana-280	3	18	-	-	SYM
cana-280	3	19	09	09	NUM
cana-280	3	20	-	-	PUNCT
cana-280	3	21	2023	2023	NUM
cana-280	3	22	accepted	accept	VERB
cana-280	3	23	:	:	PUNCT
cana-280	3	24	08	08	NUM
cana-280	3	25	-	-	SYM
cana-280	3	26	10	10	NUM
cana-280	3	27	-	-	PUNCT
cana-280	3	28	2023	2023	NUM
cana-280	3	29	abstract	abstract	NOUN
cana-280	3	30	:	:	PUNCT
cana-280	3	31	topology	topology	NOUN
cana-280	3	32	optimization	optimization	NOUN
cana-280	3	33	is	be	AUX
cana-280	3	34	a	a	DET
cana-280	3	35	structural	structural	ADJ
cana-280	3	36	-	-	PUNCT
cana-280	3	37	mechanical	mechanical	ADJ
cana-280	3	38	investigation	investigation	NOUN
cana-280	3	39	that	that	PRON
cana-280	3	40	structures	structure	VERB
cana-280	3	41	optimization	optimization	NOUN
cana-280	3	42	function	function	NOUN
cana-280	3	43	values	value	NOUN
cana-280	3	44	in	in	ADP
cana-280	3	45	an	an	DET
cana-280	3	46	optimization	optimization	NOUN
cana-280	3	47	iteration	iteration	NOUN
cana-280	3	48	.	.	PUNCT
cana-280	4	1	topology	topology	NOUN
cana-280	4	2	optimization	optimization	NOUN
cana-280	4	3	with	with	ADP
cana-280	4	4	nonlinear	nonlinear	ADJ
cana-280	4	5	static	static	ADJ
cana-280	4	6	behavior	behavior	NOUN
cana-280	4	7	is	be	AUX
cana-280	4	8	difficult	difficult	ADJ
cana-280	4	9	due	due	ADJ
cana-280	4	10	to	to	ADP
cana-280	4	11	several	several	ADJ
cana-280	4	12	design	design	NOUN
cana-280	4	13	considerations	consideration	NOUN
cana-280	4	14	.	.	PUNCT
cana-280	5	1	due	due	ADJ
cana-280	5	2	of	of	ADP
cana-280	5	3	significant	significant	ADJ
cana-280	5	4	integrate	integrate	ADJ
cana-280	5	5	distortion	distortion	NOUN
cana-280	5	6	,	,	PUNCT
cana-280	5	7	low	low	ADJ
cana-280	5	8	-	-	PUNCT
cana-280	5	9	density	density	NOUN
cana-280	5	10	finite	finite	ADJ
cana-280	5	11	elements	element	NOUN
cana-280	5	12	provide	provide	VERB
cana-280	5	13	significant	significant	ADJ
cana-280	5	14	numerical	numerical	ADJ
cana-280	5	15	challenges	challenge	NOUN
cana-280	5	16	in	in	ADP
cana-280	5	17	the	the	DET
cana-280	5	18	prevailing	prevail	VERB
cana-280	5	19	element	element	NOUN
cana-280	5	20	density	density	NOUN
cana-280	5	21	focused	focus	VERB
cana-280	5	22	topology	topology	NOUN
cana-280	5	23	planning	planning	NOUN
cana-280	5	24	taking	take	VERB
cana-280	5	25	nonlinear	nonlinear	ADJ
cana-280	5	26	dynamics	dynamic	NOUN
cana-280	5	27	under	under	ADP
cana-280	5	28	factor	factor	NOUN
cana-280	5	29	.	.	PUNCT
cana-280	6	1	iterative	iterative	NOUN
cana-280	6	2	procedures	procedure	NOUN
cana-280	6	3	are	be	AUX
cana-280	6	4	used	use	VERB
cana-280	6	5	in	in	ADP
cana-280	6	6	the	the	DET
cana-280	6	7	bi	bi	ADJ
cana-280	6	8	-	-	ADJ
cana-280	6	9	directional	directional	ADJ
cana-280	6	10	evolutionary	evolutionary	ADJ
cana-280	6	11	structural	structural	ADJ
cana-280	6	12	optimization	optimization	NOUN
cana-280	6	13	(	(	PUNCT
cana-280	6	14	beso	beso	NOUN
cana-280	6	15	)	)	PUNCT
cana-280	6	16	technique	technique	NOUN
cana-280	6	17	for	for	ADP
cana-280	6	18	reducing	reduce	VERB
cana-280	6	19	waste	waste	NOUN
cana-280	6	20	from	from	ADP
cana-280	6	21	a	a	DET
cana-280	6	22	structure	structure	NOUN
cana-280	6	23	while	while	SCONJ
cana-280	6	24	concurrently	concurrently	ADV
cana-280	6	25	adding	add	VERB
cana-280	6	26	efficient	efficient	ADJ
cana-280	6	27	material	material	NOUN
cana-280	6	28	using	use	VERB
cana-280	6	29	a	a	DET
cana-280	6	30	finite	finite	ADJ
cana-280	6	31	element	element	NOUN
cana-280	6	32	-	-	PUNCT
cana-280	6	33	based	base	VERB
cana-280	6	34	topology	topology	NOUN
cana-280	6	35	optimization	optimization	NOUN
cana-280	6	36	strategy	strategy	NOUN
cana-280	6	37	.	.	PUNCT
cana-280	7	1	integrating	integrate	VERB
cana-280	7	2	the	the	DET
cana-280	7	3	fullyconnected	fullyconnecte	VERB
cana-280	7	4	deep	deep	ADJ
cana-280	7	5	neural	neural	ADJ
cana-280	7	6	network	network	NOUN
cana-280	7	7	(	(	PUNCT
cana-280	7	8	dnn	dnn	PROPN
cana-280	7	9	)	)	PUNCT
cana-280	7	10	with	with	ADP
cana-280	7	11	the	the	DET
cana-280	7	12	norm	norm	NOUN
cana-280	7	13	-	-	PUNCT
cana-280	7	14	level	level	NOUN
cana-280	7	15	-	-	PUNCT
cana-280	7	16	set	set	VERB
cana-280	7	17	techniques	technique	NOUN
cana-280	7	18	yields	yield	VERB
cana-280	7	19	a	a	DET
cana-280	7	20	powerful	powerful	ADJ
cana-280	7	21	method	method	NOUN
cana-280	7	22	for	for	ADP
cana-280	7	23	optimizing	optimize	VERB
cana-280	7	24	structural	structural	ADJ
cana-280	7	25	topology	topology	NOUN
cana-280	7	26	.	.	PUNCT
cana-280	8	1	hence	hence	ADV
cana-280	8	2	,	,	PUNCT
cana-280	8	3	beso	beso	PROPN
cana-280	8	4	-	-	PUNCT
cana-280	8	5	dnn	dnn	PROPN
cana-280	8	6	has	have	AUX
cana-280	8	7	been	be	AUX
cana-280	8	8	designed	design	VERB
cana-280	8	9	spatial	spatial	ADJ
cana-280	8	10	optimization	optimization	NOUN
cana-280	8	11	of	of	ADP
cana-280	8	12	material	material	ADJ
cana-280	8	13	distribution	distribution	NOUN
cana-280	8	14	inside	inside	ADP
cana-280	8	15	a	a	DET
cana-280	8	16	specified	specify	VERB
cana-280	8	17	area	area	NOUN
cana-280	8	18	is	be	AUX
cana-280	8	19	the	the	DET
cana-280	8	20	focus	focus	NOUN
cana-280	8	21	of	of	ADP
cana-280	8	22	topology	topology	NOUN
cana-280	8	23	optimization	optimization	NOUN
cana-280	8	24	is	be	AUX
cana-280	8	25	a	a	DET
cana-280	8	26	mathematical	mathematical	ADJ
cana-280	8	27	approach	approach	NOUN
cana-280	8	28	for	for	ADP
cana-280	8	29	minimizing	minimize	VERB
cana-280	8	30	a	a	DET
cana-280	8	31	certain	certain	ADJ
cana-280	8	32	cost	cost	NOUN
cana-280	8	33	function	function	NOUN
cana-280	8	34	while	while	SCONJ
cana-280	8	35	meeting	meet	VERB
cana-280	8	36	a	a	DET
cana-280	8	37	set	set	NOUN
cana-280	8	38	of	of	ADP
cana-280	8	39	predefined	predefine	VERB
cana-280	8	40	restrictions	restriction	NOUN
cana-280	8	41	.	.	PUNCT
cana-280	9	1	topology	topology	NOUN
cana-280	9	2	optimization	optimization	NOUN
cana-280	9	3	of	of	ADP
cana-280	9	4	geometrically	geometrically	ADV
cana-280	9	5	non	non	ADJ
cana-280	9	6	-	-	ADJ
cana-280	9	7	linear	linear	ADJ
cana-280	9	8	systems	system	NOUN
cana-280	9	9	is	be	AUX
cana-280	9	10	advantageous	advantageous	ADJ
cana-280	9	11	because	because	SCONJ
cana-280	9	12	of	of	ADP
cana-280	9	13	the	the	DET
cana-280	9	14	solutions	solution	NOUN
cana-280	9	15	'	'	PART
cana-280	9	16	lack	lack	NOUN
cana-280	9	17	of	of	ADP
cana-280	9	18	intermediate	intermediate	ADJ
cana-280	9	19	-	-	PUNCT
cana-280	9	20	density	density	NOUN
cana-280	9	21	components	component	NOUN
cana-280	9	22	and	and	CCONJ
cana-280	9	23	their	their	PRON
cana-280	9	24	great	great	ADJ
cana-280	9	25	processing	processing	NOUN
cana-280	9	26	efficiency	efficiency	NOUN
cana-280	9	27	of	of	ADP
cana-280	9	28	high	high	ADJ
cana-280	9	29	-	-	PUNCT
cana-280	9	30	resolution	resolution	NOUN
cana-280	9	31	barrier	barrier	NOUN
cana-280	9	32	representation	representation	NOUN
cana-280	9	33	can	can	AUX
cana-280	9	34	be	be	AUX
cana-280	9	35	effective	effective	ADJ
cana-280	9	36	.	.	PUNCT
cana-280	10	1	as	as	ADP
cana-280	10	2	a	a	DET
cana-280	10	3	result	result	NOUN
cana-280	10	4	,	,	PUNCT
cana-280	10	5	topology	topology	NOUN
cana-280	10	6	optimization	optimization	NOUN
cana-280	10	7	is	be	AUX
cana-280	10	8	ensuring	ensure	VERB
cana-280	10	9	effective	effective	ADJ
cana-280	10	10	and	and	CCONJ
cana-280	10	11	providing	provide	VERB
cana-280	10	12	fresh	fresh	ADJ
cana-280	10	13	and	and	CCONJ
cana-280	10	14	efficient	efficient	ADJ
cana-280	10	15	designs	design	NOUN
cana-280	10	16	,	,	PUNCT
cana-280	10	17	understanding	understand	VERB
cana-280	10	18	that	that	SCONJ
cana-280	10	19	outcomes	outcome	NOUN
cana-280	10	20	needs	need	VERB
cana-280	10	21	an	an	DET
cana-280	10	22	integration	integration	NOUN
cana-280	10	23	of	of	ADP
cana-280	10	24	credible	credible	ADJ
cana-280	10	25	decision	decision	NOUN
cana-280	10	26	-	-	PUNCT
cana-280	10	27	making	making	NOUN
cana-280	10	28	,	,	PUNCT
cana-280	10	29	domain	domain	NOUN
cana-280	10	30	knowledge	knowledge	NOUN
cana-280	10	31	,	,	PUNCT
cana-280	10	32	and	and	CCONJ
cana-280	10	33	numerical	numerical	ADJ
cana-280	10	34	analytic	analytic	ADJ
cana-280	10	35	skills	skill	NOUN
cana-280	10	36	.	.	PUNCT
cana-280	11	1	the	the	DET
cana-280	11	2	outcome	outcome	NOUN
cana-280	11	3	of	of	ADP
cana-280	11	4	finite	finite	PROPN
cana-280	11	5	element	element	NOUN
cana-280	11	6	analysis	analysis	NOUN
cana-280	11	7	has	have	VERB
cana-280	11	8	to	to	PART
cana-280	11	9	understand	understand	VERB
cana-280	11	10	and	and	CCONJ
cana-280	11	11	anticipate	anticipate	VERB
cana-280	11	12	an	an	DET
cana-280	11	13	object	object	NOUN
cana-280	11	14	's	's	PART
cana-280	11	15	performance	performance	NOUN
cana-280	11	16	under	under	ADP
cana-280	11	17	various	various	ADJ
cana-280	11	18	physical	physical	ADJ
cana-280	11	19	conditions	condition	NOUN
cana-280	11	20	using	use	VERB
cana-280	11	21	mathematical	mathematical	ADJ
cana-280	11	22	models	model	NOUN
cana-280	11	23	,	,	PUNCT
cana-280	11	24	and	and	CCONJ
cana-280	11	25	testing	testing	NOUN
cana-280	11	26	.	.	PUNCT
cana-280	12	1	keywords	keyword	NOUN
cana-280	12	2	:	:	PUNCT
cana-280	12	3	bi	bi	ADJ
cana-280	12	4	-	-	ADJ
cana-280	12	5	directional	directional	ADJ
cana-280	12	6	evolutionary	evolutionary	ADJ
cana-280	12	7	structural	structural	ADJ
cana-280	12	8	optimization	optimization	NOUN
cana-280	12	9	,	,	PUNCT
cana-280	12	10	deep	deep	ADJ
cana-280	12	11	neural	neural	ADJ
cana-280	12	12	network	network	NOUN
cana-280	12	13	,	,	PUNCT
cana-280	12	14	topology	topology	NOUN
cana-280	12	15	,	,	PUNCT
cana-280	12	16	nonlinear	nonlinear	ADJ
cana-280	12	17	finite	finite	ADJ
cana-280	12	18	element	element	NOUN
cana-280	12	19	analysis	analysis	NOUN
cana-280	12	20	.	.	PUNCT
cana-280	13	1	1	1	X
cana-280	13	2	.	.	X
cana-280	13	3	introduction	introduction	NOUN
cana-280	13	4	:	:	PUNCT
cana-280	13	5	topology	topology	NOUN
cana-280	13	6	optimization	optimization	NOUN
cana-280	13	7	strives	strive	VERB
cana-280	13	8	to	to	PART
cana-280	13	9	manage	manage	VERB
cana-280	13	10	deformation	deformation	NOUN
cana-280	13	11	at	at	ADP
cana-280	13	12	the	the	DET
cana-280	13	13	system	system	NOUN
cana-280	13	14	level	level	NOUN
cana-280	13	15	despite	despite	SCONJ
cana-280	13	16	minimizing	minimize	VERB
cana-280	13	17	entire	entire	ADJ
cana-280	13	18	volume	volume	NOUN
cana-280	13	19	,	,	PUNCT
cana-280	13	20	and	and	CCONJ
cana-280	13	21	can	can	AUX
cana-280	13	22	be	be	AUX
cana-280	13	23	interpreted	interpret	VERB
cana-280	13	24	a	a	DET
cana-280	13	25	surrogate	surrogate	NOUN
cana-280	13	26	for	for	ADP
cana-280	13	27	structural	structural	ADJ
cana-280	13	28	system	system	NOUN
cana-280	13	29	cost	cost	NOUN
cana-280	13	30	[	[	NOUN
cana-280	13	31	1	1	NUM
cana-280	13	32	]	]	PUNCT
cana-280	13	33	.	.	PUNCT
cana-280	14	1	the	the	DET
cana-280	14	2	layout	layout	PROPN
cana-280	14	3	design	design	NOUN
cana-280	14	4	of	of	ADP
cana-280	14	5	structures	structure	NOUN
cana-280	14	6	and	and	CCONJ
cana-280	14	7	the	the	DET
cana-280	14	8	components	component	NOUN
cana-280	14	9	can	can	AUX
cana-280	14	10	be	be	AUX
cana-280	14	11	optimized	optimize	VERB
cana-280	14	12	using	use	VERB
cana-280	14	13	topology	topology	NOUN
cana-280	14	14	.	.	PUNCT
cana-280	15	1	the	the	DET
cana-280	15	2	field	field	NOUN
cana-280	15	3	of	of	ADP
cana-280	15	4	solid	solid	ADJ
cana-280	15	5	mechanics	mechanic	NOUN
cana-280	15	6	regards	regard	VERB
cana-280	15	7	that	that	DET
cana-280	15	8	method	method	NOUN
cana-280	15	9	as	as	ADP
cana-280	15	10	an	an	DET
cana-280	15	11	establish	establish	NOUN
cana-280	15	12	to	to	ADP
cana-280	15	13	across	across	ADP
cana-280	15	14	nonlinear	nonlinear	ADJ
cana-280	15	15	elastic	elastic	ADJ
cana-280	15	16	and	and	CCONJ
cana-280	15	17	small	small	ADJ
cana-280	15	18	-	-	PUNCT
cana-280	15	19	displacement	displacement	ADJ
cana-280	15	20	applications	application	NOUN
cana-280	15	21	.	.	PUNCT
cana-280	16	1	[	[	X
cana-280	16	2	2	2	NUM
cana-280	16	3	]	]	PUNCT
cana-280	16	4	.	.	PUNCT
cana-280	17	1	topology	topology	NOUN
cana-280	17	2	optimization	optimization	NOUN
cana-280	17	3	is	be	AUX
cana-280	17	4	used	use	VERB
cana-280	17	5	to	to	PART
cana-280	17	6	identify	identify	VERB
cana-280	17	7	the	the	DET
cana-280	17	8	ideal	ideal	ADJ
cana-280	17	9	sensitive	sensitive	ADJ
cana-280	17	10	robotic	robotic	ADJ
cana-280	17	11	structure	structure	NOUN
cana-280	17	12	for	for	ADP
cana-280	17	13	user	user	NOUN
cana-280	17	14	-	-	PUNCT
cana-280	17	15	defined	define	VERB
cana-280	17	16	needs	need	NOUN
cana-280	17	17	,	,	PUNCT
cana-280	17	18	unlike	unlike	ADP
cana-280	17	19	standard	standard	ADJ
cana-280	17	20	design	design	NOUN
cana-280	17	21	approaches	approach	NOUN
cana-280	17	22	.	.	PUNCT
cana-280	18	1	pressure	pressure	NOUN
cana-280	18	2	-	-	PUNCT
cana-280	18	3	driven	drive	VERB
cana-280	18	4	topology	topology	NOUN
cana-280	18	5	optimization	optimization	NOUN
cana-280	18	6	and	and	CCONJ
cana-280	18	7	soft	soft	ADJ
cana-280	18	8	robotics	robotic	NOUN
cana-280	18	9	has	have	AUX
cana-280	18	10	been	be	AUX
cana-280	18	11	to	to	PART
cana-280	18	12	be	be	AUX
cana-280	18	13	combined	combine	VERB
cana-280	18	14	[	[	X
cana-280	18	15	3	3	NUM
cana-280	18	16	]	]	PUNCT
cana-280	18	17	.	.	PUNCT
cana-280	19	1	topology	topology	NOUN
cana-280	19	2	optimization	optimization	NOUN
cana-280	19	3	is	be	AUX
cana-280	19	4	an	an	DET
cana-280	19	5	approach	approach	NOUN
cana-280	19	6	for	for	ADP
cana-280	19	7	designing	design	VERB
cana-280	19	8	that	that	PRON
cana-280	19	9	can	can	AUX
cana-280	19	10	find	find	VERB
cana-280	19	11	the	the	DET
cana-280	19	12	optimal	optimal	ADJ
cana-280	19	13	arrangement	arrangement	NOUN
cana-280	19	14	of	of	ADP
cana-280	19	15	materials	material	NOUN
cana-280	19	16	within	within	ADP
cana-280	19	17	a	a	DET
cana-280	19	18	certain	certain	ADJ
cana-280	19	19	design	design	NOUN
cana-280	19	20	domain	domain	NOUN
cana-280	19	21	and	and	CCONJ
cana-280	19	22	maintaining	maintain	VERB
cana-280	19	23	certain	certain	ADJ
cana-280	19	24	constraints	constraint	NOUN
cana-280	19	25	and	and	CCONJ
cana-280	19	26	optimizing	optimize	VERB
cana-280	19	27	the	the	DET
cana-280	19	28	effect	effect	NOUN
cana-280	19	29	on	on	ADP
cana-280	19	30	performance	performance	NOUN
cana-280	19	31	[	[	X
cana-280	19	32	4	4	NUM
cana-280	19	33	]	]	PUNCT
cana-280	19	34	.	.	PUNCT
cana-280	20	1	the	the	DET
cana-280	20	2	topology	topology	NOUN
cana-280	20	3	optimization	optimization	NOUN
cana-280	20	4	and	and	CCONJ
cana-280	20	5	finite	finite	ADJ
cana-280	20	6	element	element	NOUN
cana-280	20	7	analysis	analysis	NOUN
cana-280	20	8	to	to	PART
cana-280	20	9	improve	improve	VERB
cana-280	20	10	physical	physical	ADJ
cana-280	20	11	stability	stability	NOUN
cana-280	20	12	in	in	ADP
cana-280	20	13	the	the	DET
cana-280	20	14	area	area	NOUN
cana-280	20	15	of	of	ADP
cana-280	20	16	joint	joint	ADJ
cana-280	20	17	fixation	fixation	NOUN
cana-280	20	18	and	and	CCONJ
cana-280	20	19	meet	meet	VERB
cana-280	20	20	the	the	DET
cana-280	20	21	requirements	requirement	NOUN
cana-280	20	22	for	for	ADP
cana-280	20	23	behavior	behavior	NOUN
cana-280	20	24	of	of	ADP
cana-280	20	25	minimally	minimally	ADV
cana-280	20	26	invasive	invasive	ADJ
cana-280	20	27	distal	distal	ADJ
cana-280	20	28	radius	radius	NOUN
cana-280	20	29	fractures	fracture	NOUN
cana-280	20	30	[	[	X
cana-280	20	31	5	5	NUM
cana-280	20	32	]	]	PUNCT
cana-280	20	33	.	.	PUNCT
cana-280	21	1	with	with	ADP
cana-280	21	2	analyzing	analyze	VERB
cana-280	21	3	nonlinear	nonlinear	ADJ
cana-280	21	4	thermoelectricity	thermoelectricity	NOUN
cana-280	21	5	using	use	VERB
cana-280	21	6	an	an	DET
cana-280	21	7	communications	communication	NOUN
cana-280	21	8	on	on	ADP
cana-280	21	9	applied	apply	VERB
cana-280	21	10	nonlinear	nonlinear	ADJ
cana-280	21	11	analysis	analysis	NOUN
cana-280	21	12	issn	issn	NOUN
cana-280	21	13	:	:	PUNCT
cana-280	21	14	1074	1074	NUM
cana-280	21	15	-	-	PUNCT
cana-280	21	16	133x	133x	NUM
cana-280	21	17	vol	vol	NOUN
cana-280	21	18	30	30	NUM
cana-280	21	19	no	no	NOUN
cana-280	21	20	.	.	NOUN
cana-280	21	21	4	4	NUM
cana-280	21	22	(	(	PUNCT
cana-280	21	23	2023	2023	NUM
cana-280	21	24	)	)	PUNCT
cana-280	21	25	18	18	NUM
cana-280	21	26	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-280	21	27	extended	extended	ADJ
cana-280	21	28	perimeter	perimeter	NOUN
cana-280	21	29	technique	technique	NOUN
cana-280	21	30	,	,	PUNCT
cana-280	21	31	people	people	NOUN
cana-280	21	32	focused	focus	VERB
cana-280	21	33	emphasis	emphasis	NOUN
cana-280	21	34	on	on	ADP
cana-280	21	35	geometrical	geometrical	ADJ
cana-280	21	36	a	a	DET
cana-280	21	37	nonlinear	nonlinear	NOUN
cana-280	21	38	is	be	AUX
cana-280	21	39	the	the	DET
cana-280	21	40	value	value	NOUN
cana-280	21	41	pertains	pertain	VERB
cana-280	21	42	to	to	PART
cana-280	21	43	topology	topology	NOUN
cana-280	21	44	optimization	optimization	NOUN
cana-280	21	45	executing	execute	VERB
cana-280	21	46	nonlinearity	nonlinearity	NOUN
cana-280	21	47	into	into	ADP
cana-280	21	48	issue	issue	NOUN
cana-280	21	49	[	[	X
cana-280	21	50	6	6	NUM
cana-280	21	51	]	]	PUNCT
cana-280	21	52	.	.	PUNCT
cana-280	22	1	optimization	optimization	NOUN
cana-280	22	2	and	and	CCONJ
cana-280	22	3	topology	topology	NOUN
cana-280	22	4	have	have	AUX
cana-280	22	5	been	be	AUX
cana-280	22	6	occupied	occupy	VERB
cana-280	22	7	prominent	prominent	ADJ
cana-280	22	8	focus	focus	NOUN
cana-280	22	9	with	with	ADP
cana-280	22	10	several	several	ADJ
cana-280	22	11	generations	generation	NOUN
cana-280	22	12	.	.	PUNCT
cana-280	23	1	the	the	DET
cana-280	23	2	process	process	NOUN
cana-280	23	3	has	have	AUX
cana-280	23	4	been	be	AUX
cana-280	23	5	regarded	regard	VERB
cana-280	23	6	is	be	AUX
cana-280	23	7	the	the	DET
cana-280	23	8	most	most	ADV
cana-280	23	9	adaptable	adaptable	ADJ
cana-280	23	10	due	due	ADP
cana-280	23	11	to	to	ADP
cana-280	23	12	that	that	PRON
cana-280	23	13	permits	permit	VERB
cana-280	23	14	structural	structural	ADJ
cana-280	23	15	topology	topology	NOUN
cana-280	23	16	to	to	PART
cana-280	23	17	be	be	AUX
cana-280	23	18	measured	measure	VERB
cana-280	23	19	using	use	VERB
cana-280	23	20	merely	merely	ADV
cana-280	23	21	loading	load	VERB
cana-280	23	22	and	and	CCONJ
cana-280	23	23	solving	solve	VERB
cana-280	23	24	constraints	constraint	NOUN
cana-280	23	25	[	[	X
cana-280	23	26	7	7	NUM
cana-280	23	27	]	]	PUNCT
cana-280	23	28	.	.	PUNCT
cana-280	24	1	the	the	DET
cana-280	24	2	finite	finite	PROPN
cana-280	24	3	element	element	NOUN
cana-280	24	4	analysis	analysis	NOUN
cana-280	24	5	includes	include	VERB
cana-280	24	6	the	the	DET
cana-280	24	7	advantage	advantage	NOUN
cana-280	24	8	of	of	ADP
cana-280	24	9	gathered	gather	VERB
cana-280	24	10	mathematical	mathematical	PROPN
cana-280	24	11	a	a	DET
cana-280	24	12	nonlinear	nonlinear	NOUN
cana-280	24	13	with	with	ADP
cana-280	24	14	utilizing	utilize	VERB
cana-280	24	15	difficulty	difficulty	NOUN
cana-280	24	16	;	;	PUNCT
cana-280	24	17	that	that	PRON
cana-280	24	18	can	can	AUX
cana-280	24	19	provide	provide	VERB
cana-280	24	20	with	with	ADP
cana-280	24	21	evolving	evolve	VERB
cana-280	24	22	the	the	DET
cana-280	24	23	structure	structure	NOUN
cana-280	24	24	's	's	PART
cana-280	24	25	helps	help	VERB
cana-280	24	26	through	through	ADP
cana-280	24	27	bearings	bearing	NOUN
cana-280	24	28	into	into	ADP
cana-280	24	29	relies	relie	NOUN
cana-280	24	30	,	,	PUNCT
cana-280	24	31	that	that	SCONJ
cana-280	24	32	outcomes	outcome	NOUN
cana-280	24	33	in	in	ADP
cana-280	24	34	various	various	ADJ
cana-280	24	35	suitable	suitable	ADJ
cana-280	24	36	possibilities	possibility	NOUN
cana-280	24	37	[	[	X
cana-280	24	38	8	8	NUM
cana-280	24	39	]	]	PUNCT
cana-280	24	40	.	.	PUNCT
cana-280	25	1	a	a	DET
cana-280	25	2	geometrically	geometrically	ADV
cana-280	25	3	nonlinear	nonlinear	ADJ
cana-280	25	4	thermoelastic	thermoelastic	ADJ
cana-280	25	5	simulation	simulation	NOUN
cana-280	25	6	is	be	AUX
cana-280	25	7	used	use	VERB
cana-280	25	8	to	to	PART
cana-280	25	9	build	build	VERB
cana-280	25	10	a	a	DET
cana-280	25	11	beso	beso	NOUN
cana-280	25	12	method	method	NOUN
cana-280	25	13	using	use	VERB
cana-280	25	14	sensitivity	sensitivity	NOUN
cana-280	25	15	analysis	analysis	NOUN
cana-280	25	16	.	.	PUNCT
cana-280	26	1	with	with	ADP
cana-280	26	2	predictable	predictable	ADJ
cana-280	26	3	problems	problem	NOUN
cana-280	26	4	,	,	PUNCT
cana-280	26	5	the	the	DET
cana-280	26	6	effect	effect	NOUN
cana-280	26	7	of	of	ADP
cana-280	26	8	altering	alter	VERB
cana-280	26	9	the	the	DET
cana-280	26	10	limitation	limitation	NOUN
cana-280	26	11	of	of	ADP
cana-280	26	12	the	the	DET
cana-280	26	13	quantity	quantity	NOUN
cana-280	26	14	of	of	ADP
cana-280	26	15	the	the	DET
cana-280	26	16	needed	need	VERB
cana-280	26	17	structure	structure	NOUN
cana-280	26	18	is	be	AUX
cana-280	26	19	analyzed	analyze	VERB
cana-280	26	20	[	[	X
cana-280	26	21	9	9	NUM
cana-280	26	22	]	]	PUNCT
cana-280	26	23	.	.	PUNCT
cana-280	27	1	topology	topology	NOUN
cana-280	27	2	optimization	optimization	NOUN
cana-280	27	3	utilizes	utilize	VERB
cana-280	27	4	the	the	DET
cana-280	27	5	use	use	NOUN
cana-280	27	6	of	of	ADP
cana-280	27	7	the	the	DET
cana-280	27	8	dnn	dnn	PROPN
cana-280	27	9	as	as	ADP
cana-280	27	10	a	a	DET
cana-280	27	11	stand	stand	VERB
cana-280	27	12	-	-	PUNCT
cana-280	27	13	in	in	ADP
cana-280	27	14	model	model	NOUN
cana-280	27	15	,	,	PUNCT
cana-280	27	16	in	in	ADP
cana-280	27	17	the	the	DET
cana-280	27	18	intended	intend	VERB
cana-280	27	19	of	of	ADP
cana-280	27	20	generating	generate	VERB
cana-280	27	21	a	a	DET
cana-280	27	22	perfect	perfect	ADJ
cana-280	27	23	flux	flux	NOUN
cana-280	27	24	intensity	intensity	NOUN
cana-280	27	25	variation	variation	NOUN
cana-280	27	26	in	in	ADP
cana-280	27	27	the	the	DET
cana-280	27	28	structure	structure	NOUN
cana-280	27	29	[	[	X
cana-280	27	30	10	10	NUM
cana-280	27	31	]	]	PUNCT
cana-280	27	32	.	.	PUNCT
cana-280	28	1	truss	truss	ADJ
cana-280	28	2	structures	structure	NOUN
cana-280	28	3	,	,	PUNCT
cana-280	28	4	similar	similar	ADJ
cana-280	28	5	to	to	ADP
cana-280	28	6	measured	measure	VERB
cana-280	28	7	girder	girder	NOUN
cana-280	28	8	structures	structure	NOUN
cana-280	28	9	,	,	PUNCT
cana-280	28	10	has	have	AUX
cana-280	28	11	been	be	AUX
cana-280	28	12	the	the	DET
cana-280	28	13	focus	focus	NOUN
cana-280	28	14	of	of	ADP
cana-280	28	15	topology	topology	NOUN
cana-280	28	16	optimization	optimization	NOUN
cana-280	28	17	analysis	analysis	NOUN
cana-280	28	18	with	with	ADP
cana-280	28	19	contraction	contraction	NOUN
cana-280	28	20	constraints	constraint	NOUN
cana-280	28	21	.	.	PUNCT
cana-280	29	1	the	the	DET
cana-280	29	2	constraints	constraint	NOUN
cana-280	29	3	include	include	VERB
cana-280	29	4	important	important	ADJ
cana-280	29	5	local	local	ADJ
cana-280	29	6	buckling	buckling	NOUN
cana-280	29	7	limits	limit	NOUN
cana-280	29	8	on	on	ADP
cana-280	29	9	the	the	DET
cana-280	29	10	component	component	NOUN
cana-280	29	11	to	to	ADP
cana-280	29	12	complicated	complicated	ADJ
cana-280	29	13	overall	overall	ADJ
cana-280	29	14	contraction	contraction	NOUN
cana-280	29	15	conditions	condition	NOUN
cana-280	29	16	[	[	X
cana-280	29	17	11	11	NUM
cana-280	29	18	]	]	PUNCT
cana-280	29	19	.	.	PUNCT
cana-280	30	1	as	as	SCONJ
cana-280	30	2	nonlinear	nonlinear	ADJ
cana-280	30	3	structures	structure	NOUN
cana-280	30	4	interest	interest	VERB
cana-280	30	5	greater	great	ADJ
cana-280	30	6	developing	develop	VERB
cana-280	30	7	that	that	SCONJ
cana-280	30	8	inverse	inverse	NOUN
cana-280	30	9	structures	structure	NOUN
cana-280	30	10	,	,	PUNCT
cana-280	30	11	performance	performance	NOUN
cana-280	30	12	is	be	AUX
cana-280	30	13	essential	essential	ADJ
cana-280	30	14	in	in	ADP
cana-280	30	15	implementing	implement	VERB
cana-280	30	16	topology	topology	NOUN
cana-280	30	17	optimization	optimization	NOUN
cana-280	30	18	strategies	strategy	NOUN
cana-280	30	19	[	[	X
cana-280	30	20	12	12	NUM
cana-280	30	21	]	]	PUNCT
cana-280	30	22	.	.	PUNCT
cana-280	31	1	through	through	ADP
cana-280	31	2	merging	merge	VERB
cana-280	31	3	density	density	NOUN
cana-280	31	4	-	-	PUNCT
cana-280	31	5	based	base	VERB
cana-280	31	6	topology	topology	NOUN
cana-280	31	7	optimization	optimization	NOUN
cana-280	31	8	with	with	ADP
cana-280	31	9	mixed	mixed	ADJ
cana-280	31	10	rigid	rigid	ADJ
cana-280	31	11	-	-	PUNCT
cana-280	31	12	plastic	plastic	NOUN
cana-280	31	13	analysis	analysis	NOUN
cana-280	31	14	,	,	PUNCT
cana-280	31	15	the	the	DET
cana-280	31	16	suggested	suggest	VERB
cana-280	31	17	formulation	formulation	NOUN
cana-280	31	18	minimizes	minimize	VERB
cana-280	31	19	volume	volume	NOUN
cana-280	31	20	and	and	CCONJ
cana-280	31	21	solves	solve	VERB
cana-280	31	22	the	the	DET
cana-280	31	23	optimization	optimization	NOUN
cana-280	31	24	issue	issue	NOUN
cana-280	31	25	[	[	X
cana-280	31	26	13	13	NUM
cana-280	31	27	]	]	PUNCT
cana-280	31	28	.	.	PUNCT
cana-280	32	1	to	to	PART
cana-280	32	2	develop	develop	VERB
cana-280	32	3	optimum	optimum	ADJ
cana-280	32	4	topologies	topology	NOUN
cana-280	32	5	of	of	ADP
cana-280	32	6	flexoelectric	flexoelectric	ADJ
cana-280	32	7	structures	structure	NOUN
cana-280	32	8	undergoing	undergo	VERB
cana-280	32	9	large	large	ADJ
cana-280	32	10	displacement	displacement	NOUN
cana-280	32	11	,	,	PUNCT
cana-280	32	12	a	a	DET
cana-280	32	13	nonlinear	nonlinear	ADJ
cana-280	32	14	structure	structure	NOUN
cana-280	32	15	evaluation	evaluation	NOUN
cana-280	32	16	tackle	tackle	NOUN
cana-280	32	17	has	have	AUX
cana-280	32	18	devised	devise	VERB
cana-280	32	19	.	.	PUNCT
cana-280	33	1	optimizing	optimize	VERB
cana-280	33	2	the	the	DET
cana-280	33	3	energy	energy	NOUN
cana-280	33	4	,	,	PUNCT
cana-280	33	5	the	the	DET
cana-280	33	6	process	process	NOUN
cana-280	33	7	efficiency	efficiency	NOUN
cana-280	33	8	generates	generate	VERB
cana-280	33	9	the	the	DET
cana-280	33	10	ideal	ideal	ADJ
cana-280	33	11	important	important	ADJ
cana-280	33	12	distribution	distribution	NOUN
cana-280	33	13	[	[	X
cana-280	33	14	14	14	NUM
cana-280	33	15	]	]	PUNCT
cana-280	33	16	.	.	PUNCT
cana-280	34	1	topology	topology	NOUN
cana-280	34	2	optimization	optimization	NOUN
cana-280	34	3	has	have	AUX
cana-280	34	4	evolved	evolve	VERB
cana-280	34	5	in	in	ADP
cana-280	34	6	popularity	popularity	NOUN
cana-280	34	7	is	be	AUX
cana-280	34	8	highly	highly	ADV
cana-280	34	9	efficient	efficient	ADJ
cana-280	34	10	method	method	NOUN
cana-280	34	11	for	for	ADP
cana-280	34	12	mechanical	mechanical	ADJ
cana-280	34	13	design	design	NOUN
cana-280	34	14	in	in	ADP
cana-280	34	15	more	more	ADV
cana-280	34	16	robust	robust	ADJ
cana-280	34	17	organizations	organization	NOUN
cana-280	34	18	and	and	CCONJ
cana-280	34	19	education	education	NOUN
cana-280	34	20	,	,	PUNCT
cana-280	34	21	which	which	PRON
cana-280	34	22	accomplishes	accomplish	VERB
cana-280	34	23	the	the	DET
cana-280	34	24	necessary	necessary	ADJ
cana-280	34	25	outcomes	outcome	NOUN
cana-280	34	26	in	in	ADP
cana-280	34	27	the	the	DET
cana-280	34	28	areas	area	NOUN
cana-280	34	29	of	of	ADP
cana-280	34	30	structural	structural	ADJ
cana-280	34	31	mechanics	mechanic	NOUN
cana-280	34	32	at	at	ADP
cana-280	34	33	several	several	ADJ
cana-280	34	34	scales	scale	NOUN
cana-280	34	35	,	,	PUNCT
cana-280	34	36	designing	design	VERB
cana-280	34	37	viscoelastic	viscoelastic	ADJ
cana-280	34	38	structures	structure	NOUN
cana-280	34	39	,	,	PUNCT
cana-280	34	40	compliance	compliance	NOUN
cana-280	34	41	issues	issue	NOUN
cana-280	34	42	,	,	PUNCT
cana-280	34	43	and	and	CCONJ
cana-280	34	44	heat	heat	NOUN
cana-280	34	45	transfer	transfer	NOUN
cana-280	34	46	[	[	X
cana-280	34	47	15	15	NUM
cana-280	34	48	]	]	PUNCT
cana-280	34	49	.	.	PUNCT
cana-280	35	1	the	the	DET
cana-280	35	2	main	main	ADJ
cana-280	35	3	objective	objective	NOUN
cana-280	35	4	of	of	ADP
cana-280	35	5	the	the	DET
cana-280	35	6	paper	paper	NOUN
cana-280	35	7	:	:	PUNCT
cana-280	35	8	➢	➢	VERB
cana-280	35	9	the	the	DET
cana-280	35	10	formulation	formulation	NOUN
cana-280	35	11	of	of	ADP
cana-280	35	12	minimal	minimal	ADJ
cana-280	35	13	compliance	compliance	NOUN
cana-280	35	14	topology	topology	NOUN
cana-280	35	15	optimization	optimization	NOUN
cana-280	35	16	,	,	PUNCT
cana-280	35	17	that	that	PRON
cana-280	35	18	aims	aim	VERB
cana-280	35	19	to	to	PART
cana-280	35	20	reduce	reduce	VERB
cana-280	35	21	internal	internal	ADJ
cana-280	35	22	strain	strain	NOUN
cana-280	35	23	energy	energy	NOUN
cana-280	35	24	in	in	ADP
cana-280	35	25	a	a	DET
cana-280	35	26	constant	constant	ADJ
cana-280	35	27	mass	mass	NOUN
cana-280	35	28	structure	structure	NOUN
cana-280	35	29	for	for	ADP
cana-280	35	30	a	a	DET
cana-280	35	31	given	give	VERB
cana-280	35	32	strain	strain	NOUN
cana-280	35	33	scenario	scenario	NOUN
cana-280	35	34	and	and	CCONJ
cana-280	35	35	collection	collection	NOUN
cana-280	35	36	of	of	ADP
cana-280	35	37	boundary	boundary	ADJ
cana-280	35	38	conditions	condition	NOUN
cana-280	35	39	,	,	PUNCT
cana-280	35	40	is	be	AUX
cana-280	35	41	the	the	DET
cana-280	35	42	problem	problem	NOUN
cana-280	35	43	that	that	PRON
cana-280	35	44	is	be	AUX
cana-280	35	45	the	the	DET
cana-280	35	46	greatest	great	ADJ
cana-280	35	47	often	often	ADV
cana-280	35	48	solved	solve	VERB
cana-280	35	49	.	.	PUNCT
cana-280	36	1	➢	➢	VERB
cana-280	36	2	beso	beso	NOUN
cana-280	36	3	-	-	PUNCT
cana-280	36	4	dnn	dnn	PROPN
cana-280	36	5	through	through	ADP
cana-280	36	6	minimizing	minimize	VERB
cana-280	36	7	a	a	DET
cana-280	36	8	predefined	predefine	VERB
cana-280	36	9	cost	cost	NOUN
cana-280	36	10	function	function	NOUN
cana-280	36	11	and	and	CCONJ
cana-280	36	12	satisfying	satisfy	VERB
cana-280	36	13	predefined	predefine	VERB
cana-280	36	14	conditions	condition	NOUN
cana-280	36	15	,	,	PUNCT
cana-280	36	16	mathematically	mathematically	ADV
cana-280	36	17	,	,	PUNCT
cana-280	36	18	topology	topology	NOUN
cana-280	36	19	optimization	optimization	NOUN
cana-280	36	20	strives	strive	VERB
cana-280	36	21	to	to	PART
cana-280	36	22	optimize	optimize	VERB
cana-280	36	23	the	the	DET
cana-280	36	24	distribution	distribution	NOUN
cana-280	36	25	of	of	ADP
cana-280	36	26	materials	material	NOUN
cana-280	36	27	inside	inside	ADP
cana-280	36	28	a	a	DET
cana-280	36	29	certain	certain	ADJ
cana-280	36	30	region	region	NOUN
cana-280	36	31	.	.	PUNCT
cana-280	37	1	➢	➢	NOUN
cana-280	37	2	with	with	ADP
cana-280	37	3	satisfying	satisfy	VERB
cana-280	37	4	and	and	CCONJ
cana-280	37	5	optimizing	optimize	VERB
cana-280	37	6	the	the	DET
cana-280	37	7	previously	previously	ADV
cana-280	37	8	defined	define	VERB
cana-280	37	9	cost	cost	NOUN
cana-280	37	10	function	function	NOUN
cana-280	37	11	prior	prior	ADV
cana-280	37	12	provided	provide	VERB
cana-280	37	13	limitation	limitation	NOUN
cana-280	38	1	,	,	PUNCT
cana-280	38	2	topology	topology	NOUN
cana-280	38	3	optimization	optimization	NOUN
cana-280	38	4	develops	develop	VERB
cana-280	38	5	the	the	DET
cana-280	38	6	spatially	spatially	ADV
cana-280	38	7	effective	effective	ADJ
cana-280	38	8	distribution	distribution	NOUN
cana-280	38	9	of	of	ADP
cana-280	38	10	material	material	NOUN
cana-280	38	11	within	within	ADP
cana-280	38	12	a	a	DET
cana-280	38	13	certain	certain	ADJ
cana-280	38	14	region	region	NOUN
cana-280	38	15	.	.	PUNCT
cana-280	39	1	the	the	DET
cana-280	39	2	remainder	remainder	NOUN
cana-280	39	3	of	of	ADP
cana-280	39	4	the	the	DET
cana-280	39	5	research	research	NOUN
cana-280	39	6	is	be	AUX
cana-280	39	7	structured	structure	VERB
cana-280	39	8	as	as	SCONJ
cana-280	39	9	follows	follow	VERB
cana-280	39	10	:	:	PUNCT
cana-280	39	11	section	section	NOUN
cana-280	39	12	2	2	NUM
cana-280	39	13	discusses	discuss	VERB
cana-280	39	14	the	the	DET
cana-280	39	15	current	current	ADJ
cana-280	39	16	method	method	NOUN
cana-280	39	17	's	's	PART
cana-280	39	18	work	work	NOUN
cana-280	39	19	,	,	PUNCT
cana-280	39	20	while	while	SCONJ
cana-280	39	21	section	section	NOUN
cana-280	39	22	3	3	NUM
cana-280	39	23	discusses	discuss	VERB
cana-280	39	24	future	future	ADJ
cana-280	39	25	plans	plan	NOUN
cana-280	39	26	introduces	introduce	VERB
cana-280	39	27	the	the	DET
cana-280	39	28	beso	beso	PROPN
cana-280	39	29	-	-	PUNCT
cana-280	39	30	dnn	dnn	PROPN
cana-280	39	31	methodology	methodology	NOUN
cana-280	39	32	,	,	PUNCT
cana-280	39	33	and	and	CCONJ
cana-280	39	34	section	section	NOUN
cana-280	39	35	4	4	NUM
cana-280	39	36	analyzes	analyze	VERB
cana-280	39	37	the	the	DET
cana-280	39	38	experiments	experiment	NOUN
cana-280	39	39	.	.	PUNCT
cana-280	40	1	section	section	NOUN
cana-280	40	2	5	5	NUM
cana-280	40	3	wraps	wrap	NOUN
cana-280	40	4	off	off	ADP
cana-280	40	5	by	by	ADP
cana-280	40	6	discussing	discuss	VERB
cana-280	40	7	the	the	DET
cana-280	40	8	paper	paper	NOUN
cana-280	40	9	's	's	PART
cana-280	40	10	influence	influence	NOUN
cana-280	40	11	.	.	PUNCT
cana-280	41	1	2	2	X
cana-280	41	2	.	.	X
cana-280	41	3	literature	literature	NOUN
cana-280	41	4	survey	survey	PROPN
cana-280	41	5	:	:	PUNCT
cana-280	41	6	miche	miche	PROPN
cana-280	41	7	jansen	jansen	PROPN
cana-280	41	8	et	et	PROPN
cana-280	41	9	al	al	PROPN
cana-280	41	10	.	.	PROPN
cana-280	42	1	(	(	PUNCT
cana-280	42	2	2019	2019	NUM
cana-280	42	3	)	)	PUNCT
cana-280	42	4	detailed	detailed	ADJ
cana-280	42	5	using	use	VERB
cana-280	42	6	the	the	DET
cana-280	42	7	extended	extended	ADJ
cana-280	42	8	finite	finite	ADJ
cana-280	42	9	element	element	NOUN
cana-280	42	10	method	method	NOUN
cana-280	42	11	(	(	PUNCT
cana-280	42	12	xfem	xfem	PROPN
cana-280	42	13	)	)	PUNCT
cana-280	42	14	,	,	PUNCT
cana-280	42	15	a	a	DET
cana-280	42	16	fixed	fix	VERB
cana-280	42	17	mesh	mesh	NOUN
cana-280	42	18	of	of	ADP
cana-280	42	19	the	the	DET
cana-280	42	20	design	design	NOUN
cana-280	42	21	domain	domain	NOUN
cana-280	42	22	is	be	AUX
cana-280	42	23	employed	employ	VERB
cana-280	42	24	to	to	PART
cana-280	42	25	model	model	VERB
cana-280	42	26	the	the	DET
cana-280	42	27	non	non	ADJ
cana-280	42	28	-	-	ADJ
cana-280	42	29	conforming	conforming	ADJ
cana-280	42	30	material	material	NOUN
cana-280	42	31	interaction	interaction	NOUN
cana-280	43	1	[	[	X
cana-280	43	2	16	16	NUM
cana-280	43	3	]	]	PUNCT
cana-280	43	4	.	.	PUNCT
cana-280	44	1	geometric	geometric	ADJ
cana-280	44	2	restrictions	restriction	NOUN
cana-280	44	3	employed	employ	VERB
cana-280	44	4	in	in	ADP
cana-280	44	5	density	density	NOUN
cana-280	44	6	-	-	PUNCT
cana-280	44	7	based	base	VERB
cana-280	44	8	topology	topology	NOUN
cana-280	44	9	optimization	optimization	NOUN
cana-280	44	10	with	with	ADP
cana-280	44	11	projection	projection	NOUN
cana-280	44	12	filters	filter	NOUN
cana-280	44	13	recently	recently	ADV
cana-280	44	14	need	need	VERB
cana-280	44	15	a	a	DET
cana-280	44	16	https://link.springer.com/article/10.1007/s00158-018-2162-5#auth-miche-jansen-aff1	https://link.springer.com/article/10.1007/s00158-018-2162-5#auth-miche-jansen-aff1	ADJ
cana-280	44	17	communications	communication	NOUN
cana-280	44	18	on	on	ADP
cana-280	44	19	applied	apply	VERB
cana-280	44	20	nonlinear	nonlinear	ADJ
cana-280	44	21	analysis	analysis	NOUN
cana-280	44	22	issn	issn	NOUN
cana-280	44	23	:	:	PUNCT
cana-280	44	24	1074	1074	NUM
cana-280	44	25	-	-	PUNCT
cana-280	44	26	133x	133x	NUM
cana-280	44	27	vol	vol	NOUN
cana-280	44	28	30	30	NUM
cana-280	44	29	no	no	NOUN
cana-280	44	30	.	.	NOUN
cana-280	44	31	4	4	NUM
cana-280	44	32	(	(	PUNCT
cana-280	44	33	2023	2023	NUM
cana-280	44	34	)	)	PUNCT
cana-280	44	35	19	19	NUM
cana-280	44	36	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	44	37	structure	structure	NOUN
cana-280	44	38	with	with	ADP
cana-280	44	39	a	a	DET
cana-280	44	40	minimum	minimum	ADJ
cana-280	44	41	length	length	NOUN
cana-280	44	42	scale	scale	NOUN
cana-280	44	43	.	.	PUNCT
cana-280	45	1	the	the	DET
cana-280	45	2	limits	limit	NOUN
cana-280	45	3	allow	allow	VERB
cana-280	45	4	instabilities	instability	NOUN
cana-280	45	5	in	in	ADP
cana-280	45	6	level	level	NOUN
cana-280	45	7	established	establish	VERB
cana-280	45	8	xfem	xfem	PROPN
cana-280	45	9	topology	topology	NOUN
cana-280	45	10	optimization	optimization	NOUN
cana-280	45	11	to	to	PART
cana-280	45	12	be	be	AUX
cana-280	45	13	addressed	address	VERB
cana-280	45	14	computationally	computationally	ADV
cana-280	45	15	inexpensively	inexpensively	ADV
cana-280	45	16	.	.	PUNCT
cana-280	46	1	both	both	CCONJ
cana-280	46	2	the	the	DET
cana-280	46	3	density	density	NOUN
cana-280	46	4	-	-	PUNCT
cana-280	46	5	based	base	VERB
cana-280	46	6	topology	topology	NOUN
cana-280	46	7	optimization	optimization	NOUN
cana-280	46	8	and	and	CCONJ
cana-280	46	9	the	the	DET
cana-280	46	10	level	level	NOUN
cana-280	46	11	set	set	NOUN
cana-280	46	12	optimization	optimization	NOUN
cana-280	46	13	use	use	VERB
cana-280	46	14	the	the	DET
cana-280	46	15	same	same	ADJ
cana-280	46	16	geometric	geometric	ADJ
cana-280	46	17	constraints	constraint	NOUN
cana-280	46	18	to	to	PART
cana-280	46	19	give	give	VERB
cana-280	46	20	an	an	DET
cana-280	46	21	accurate	accurate	ADJ
cana-280	46	22	comparison	comparison	NOUN
cana-280	46	23	.	.	PUNCT
cana-280	47	1	yusuke	yusuke	PROPN
cana-280	47	2	takahashi	takahashi	PROPN
cana-280	47	3	,	,	PUNCT
cana-280	47	4	et	et	PROPN
cana-280	47	5	al	al	PROPN
cana-280	47	6	.	.	PROPN
cana-280	48	1	(	(	PUNCT
cana-280	48	2	2019	2019	NUM
cana-280	48	3	)	)	PUNCT
cana-280	48	4	discussed	discuss	VERB
cana-280	48	5	the	the	DET
cana-280	48	6	topology	topology	NOUN
cana-280	48	7	optimization	optimization	NOUN
cana-280	48	8	approach	approach	NOUN
cana-280	48	9	using	use	VERB
cana-280	48	10	optimized	optimize	VERB
cana-280	48	11	network	network	NOUN
cana-280	48	12	structure	structure	NOUN
cana-280	48	13	using	use	VERB
cana-280	48	14	a	a	DET
cana-280	48	15	deep	deep	ADJ
cana-280	48	16	learning	learning	NOUN
cana-280	48	17	technique	technique	NOUN
cana-280	48	18	labeled	label	VERB
cana-280	48	19	a	a	DET
cana-280	48	20	convolutional	convolutional	ADJ
cana-280	48	21	neural	neural	ADJ
cana-280	48	22	network	network	NOUN
cana-280	48	23	(	(	PUNCT
cana-280	48	24	cnn	cnn	PROPN
cana-280	48	25	)	)	PUNCT
cana-280	48	26	challenges	challenge	VERB
cana-280	48	27	[	[	X
cana-280	48	28	17	17	NUM
cana-280	48	29	]	]	PUNCT
cana-280	48	30	.	.	PUNCT
cana-280	49	1	the	the	PRON
cana-280	49	2	addressing	address	VERB
cana-280	49	3	a	a	DET
cana-280	49	4	verification	verification	NOUN
cana-280	49	5	case	case	NOUN
cana-280	49	6	,	,	PUNCT
cana-280	49	7	a	a	DET
cana-280	49	8	topology	topology	NOUN
cana-280	49	9	optimization	optimization	NOUN
cana-280	49	10	issue	issue	NOUN
cana-280	49	11	targeted	target	VERB
cana-280	49	12	at	at	ADP
cana-280	49	13	maximizing	maximize	VERB
cana-280	49	14	strength	strength	NOUN
cana-280	49	15	,	,	PUNCT
cana-280	49	16	and	and	CCONJ
cana-280	49	17	demonstrate	demonstrate	VERB
cana-280	49	18	the	the	DET
cana-280	49	19	usefulness	usefulness	NOUN
cana-280	49	20	of	of	ADP
cana-280	49	21	the	the	DET
cana-280	49	22	provided	provide	VERB
cana-280	49	23	topology	topology	NOUN
cana-280	49	24	optimization	optimization	NOUN
cana-280	49	25	strategy	strategy	NOUN
cana-280	49	26	.	.	PUNCT
cana-280	50	1	in	in	ADP
cana-280	50	2	the	the	DET
cana-280	50	3	research	research	NOUN
cana-280	50	4	,	,	PUNCT
cana-280	50	5	people	people	NOUN
cana-280	50	6	observe	observe	VERB
cana-280	50	7	a	a	DET
cana-280	50	8	solution	solution	NOUN
cana-280	50	9	that	that	PRON
cana-280	50	10	differs	differ	VERB
cana-280	50	11	from	from	ADP
cana-280	50	12	the	the	DET
cana-280	50	13	prior	prior	ADJ
cana-280	50	14	topology	topology	NOUN
cana-280	50	15	optimization	optimization	NOUN
cana-280	50	16	approach	approach	NOUN
cana-280	50	17	and	and	CCONJ
cana-280	50	18	an	an	DET
cana-280	50	19	outcome	outcome	NOUN
cana-280	50	20	of	of	ADP
cana-280	50	21	addressing	address	VERB
cana-280	50	22	the	the	DET
cana-280	50	23	issue	issue	NOUN
cana-280	50	24	with	with	ADP
cana-280	50	25	a	a	DET
cana-280	50	26	constrained	constrain	VERB
cana-280	50	27	design	design	NOUN
cana-280	50	28	area	area	NOUN
cana-280	50	29	of	of	ADP
cana-280	50	30	element	element	NOUN
cana-280	50	31	.	.	PUNCT
cana-280	51	1	the	the	DET
cana-280	51	2	result	result	NOUN
cana-280	51	3	implies	imply	VERB
cana-280	51	4	that	that	SCONJ
cana-280	51	5	structure	structure	NOUN
cana-280	51	6	stiffness	stiffness	NOUN
cana-280	51	7	information	information	NOUN
cana-280	51	8	the	the	DET
cana-280	51	9	density	density	NOUN
cana-280	51	10	distribution	distribution	NOUN
cana-280	51	11	utilizing	utilize	VERB
cana-280	51	12	cnns	cnn	NOUN
cana-280	51	13	in	in	ADP
cana-280	51	14	a	a	DET
cana-280	51	15	picture	picture	NOUN
cana-280	51	16	,	,	PUNCT
cana-280	51	17	that	that	PRON
cana-280	51	18	can	can	AUX
cana-280	51	19	be	be	AUX
cana-280	51	20	used	use	VERB
cana-280	51	21	for	for	ADP
cana-280	51	22	structural	structural	ADJ
cana-280	51	23	design	design	NOUN
cana-280	51	24	research	research	NOUN
cana-280	51	25	.	.	PUNCT
cana-280	52	1	nicholas	nicholas	PROPN
cana-280	52	2	napier	napier	PROPN
cana-280	52	3	et	et	PROPN
cana-280	52	4	al	al	PROPN
cana-280	52	5	.	.	PROPN
cana-280	52	6	(	(	PUNCT
cana-280	52	7	2020	2020	NUM
cana-280	52	8	)	)	PUNCT
cana-280	52	9	introduced	introduce	VERB
cana-280	52	10	the	the	DET
cana-280	52	11	best	good	ADJ
cana-280	52	12	structure	structure	NOUN
cana-280	52	13	on	on	ADP
cana-280	52	14	a	a	DET
cana-280	52	15	rough	rough	ADJ
cana-280	52	16	grid	grid	NOUN
cana-280	52	17	prior	prior	ADV
cana-280	52	18	to	to	ADP
cana-280	52	19	using	use	VERB
cana-280	52	20	an	an	DET
cana-280	52	21	ann	ann	NOUN
cana-280	52	22	to	to	PART
cana-280	52	23	transform	transform	VERB
cana-280	52	24	it	it	PRON
cana-280	52	25	into	into	ADP
cana-280	52	26	a	a	DET
cana-280	52	27	refined	refined	ADJ
cana-280	52	28	mesh	mesh	NOUN
cana-280	52	29	drastically	drastically	ADV
cana-280	52	30	cuts	cut	VERB
cana-280	52	31	down	down	ADP
cana-280	52	32	on	on	ADP
cana-280	52	33	computing	compute	VERB
cana-280	52	34	time	time	NOUN
cana-280	52	35	[	[	X
cana-280	52	36	18	18	NUM
cana-280	52	37	]	]	PUNCT
cana-280	52	38	.	.	PUNCT
cana-280	53	1	among	among	ADP
cana-280	53	2	the	the	DET
cana-280	53	3	most	most	ADV
cana-280	53	4	important	important	ADJ
cana-280	53	5	problems	problem	NOUN
cana-280	53	6	in	in	ADP
cana-280	53	7	element	element	NOUN
cana-280	53	8	-	-	PUNCT
cana-280	53	9	based	base	VERB
cana-280	53	10	topology	topology	NOUN
cana-280	53	11	optimization	optimization	NOUN
cana-280	53	12	.	.	PUNCT
cana-280	54	1	if	if	SCONJ
cana-280	54	2	a	a	DET
cana-280	54	3	material	material	NOUN
cana-280	54	4	interface	interface	NOUN
cana-280	54	5	that	that	PRON
cana-280	54	6	is	be	AUX
cana-280	54	7	well	well	ADV
cana-280	54	8	defined	define	VERB
cana-280	54	9	,	,	PUNCT
cana-280	54	10	that	that	PRON
cana-280	54	11	need	need	VERB
cana-280	54	12	a	a	DET
cana-280	54	13	finite	finite	ADJ
cana-280	54	14	element	element	NOUN
cana-280	54	15	mesh	mesh	NOUN
cana-280	54	16	that	that	PRON
cana-280	54	17	has	have	AUX
cana-280	54	18	been	be	AUX
cana-280	54	19	fine	fine	ADV
cana-280	54	20	-	-	PUNCT
cana-280	54	21	tuned	tune	VERB
cana-280	54	22	.	.	PUNCT
cana-280	55	1	but	but	CCONJ
cana-280	55	2	solving	solve	VERB
cana-280	55	3	this	this	DET
cana-280	55	4	issue	issue	NOUN
cana-280	55	5	increases	increase	VERB
cana-280	55	6	the	the	DET
cana-280	55	7	computing	computing	NOUN
cana-280	55	8	cost	cost	NOUN
cana-280	55	9	.	.	PUNCT
cana-280	56	1	as	as	ADP
cana-280	56	2	an	an	DET
cana-280	56	3	added	add	VERB
cana-280	56	4	bonus	bonus	NOUN
cana-280	56	5	,	,	PUNCT
cana-280	56	6	unlike	unlike	ADP
cana-280	56	7	a	a	DET
cana-280	56	8	fine	fine	ADJ
cana-280	56	9	-	-	PUNCT
cana-280	56	10	mesh	mesh	NOUN
cana-280	56	11	optimization	optimization	NOUN
cana-280	56	12	with	with	ADP
cana-280	56	13	minimal	minimal	ADJ
cana-280	56	14	error	error	NOUN
cana-280	56	15	,	,	PUNCT
cana-280	56	16	this	this	DET
cana-280	56	17	one	one	NOUN
cana-280	56	18	significantly	significantly	ADV
cana-280	56	19	reduces	reduce	VERB
cana-280	56	20	computing	computing	NOUN
cana-280	56	21	time	time	NOUN
cana-280	56	22	while	while	SCONJ
cana-280	56	23	maintaining	maintain	VERB
cana-280	56	24	structural	structural	ADJ
cana-280	56	25	integrity	integrity	NOUN
cana-280	56	26	.	.	PUNCT
cana-280	57	1	in	in	ADP
cana-280	57	2	addition	addition	NOUN
cana-280	57	3	to	to	ADP
cana-280	57	4	the	the	DET
cana-280	57	5	time	time	NOUN
cana-280	57	6	savings	saving	NOUN
cana-280	57	7	in	in	ADP
cana-280	57	8	computing	computing	NOUN
cana-280	57	9	,	,	PUNCT
cana-280	57	10	the	the	DET
cana-280	57	11	method	method	NOUN
cana-280	57	12	effectively	effectively	ADV
cana-280	57	13	refines	refine	VERB
cana-280	57	14	the	the	DET
cana-280	57	15	boundary	boundary	ADJ
cana-280	57	16	edges	edge	NOUN
cana-280	57	17	,	,	PUNCT
cana-280	57	18	making	make	VERB
cana-280	57	19	the	the	DET
cana-280	57	20	transition	transition	NOUN
cana-280	57	21	from	from	ADP
cana-280	57	22	solid	solid	ADJ
cana-280	57	23	to	to	PART
cana-280	57	24	void	void	VERB
cana-280	57	25	sharper	sharp	ADJ
cana-280	57	26	.	.	PUNCT
cana-280	58	1	mengcheng	mengcheng	PROPN
cana-280	58	2	huang	huang	PROPN
cana-280	58	3	et	et	PROPN
cana-280	58	4	al	al	PROPN
cana-280	58	5	.	.	PROPN
cana-280	59	1	(	(	PUNCT
cana-280	59	2	2022	2022	NUM
cana-280	59	3	)	)	PUNCT
cana-280	59	4	prepared	prepare	VERB
cana-280	59	5	the	the	DET
cana-280	59	6	substrate	substrate	NOUN
cana-280	59	7	provides	provide	VERB
cana-280	59	8	a	a	DET
cana-280	59	9	problem	problem	NOUN
cana-280	59	10	-	-	PUNCT
cana-280	59	11	independent	independent	ADJ
cana-280	59	12	machine	machine	NOUN
cana-280	59	13	learning	learning	NOUN
cana-280	59	14	(	(	PUNCT
cana-280	59	15	piml	piml	NOUN
cana-280	59	16	)	)	PUNCT
cana-280	59	17	technique	technique	NOUN
cana-280	59	18	for	for	ADP
cana-280	59	19	reducing	reduce	VERB
cana-280	59	20	finite	finite	ADJ
cana-280	59	21	element	element	NOUN
cana-280	59	22	analysis	analysis	NOUN
cana-280	59	23	computation	computation	NOUN
cana-280	59	24	time	time	NOUN
cana-280	59	25	,	,	PUNCT
cana-280	59	26	that	that	PRON
cana-280	59	27	is	be	AUX
cana-280	59	28	a	a	DET
cana-280	59	29	significant	significant	ADJ
cana-280	59	30	obstacle	obstacle	NOUN
cana-280	59	31	to	to	ADP
cana-280	59	32	solving	solve	VERB
cana-280	59	33	the	the	DET
cana-280	59	34	problem	problem	NOUN
cana-280	60	1	[	[	X
cana-280	60	2	19	19	NUM
cana-280	60	3	]	]	PUNCT
cana-280	60	4	.	.	PUNCT
cana-280	61	1	responding	respond	VERB
cana-280	61	2	to	to	ADP
cana-280	61	3	earlier	early	ADJ
cana-280	61	4	studies	study	NOUN
cana-280	61	5	,	,	PUNCT
cana-280	61	6	the	the	DET
cana-280	61	7	proposed	propose	VERB
cana-280	61	8	mechanism	mechanism	NOUN
cana-280	61	9	is	be	AUX
cana-280	61	10	really	really	ADV
cana-280	61	11	issue	issue	NOUN
cana-280	61	12	-	-	PUNCT
cana-280	61	13	agnostic	agnostic	ADJ
cana-280	61	14	and	and	CCONJ
cana-280	61	15	applicable	applicable	ADJ
cana-280	61	16	to	to	ADP
cana-280	61	17	any	any	DET
cana-280	61	18	topology	topology	NOUN
cana-280	61	19	optimization	optimization	NOUN
cana-280	61	20	problem	problem	NOUN
cana-280	61	21	during	during	ADP
cana-280	61	22	the	the	DET
cana-280	61	23	minimal	minimal	ADJ
cana-280	61	24	off	off	ADP
cana-280	61	25	-	-	PUNCT
cana-280	61	26	line	line	NOUN
cana-280	61	27	training	training	NOUN
cana-280	61	28	has	have	AUX
cana-280	61	29	been	be	AUX
cana-280	61	30	completed	complete	VERB
cana-280	61	31	.	.	PUNCT
cana-280	62	1	the	the	DET
cana-280	62	2	forecast	forecast	NOUN
cana-280	62	3	is	be	AUX
cana-280	62	4	proved	prove	VERB
cana-280	62	5	that	that	SCONJ
cana-280	62	6	the	the	DET
cana-280	62	7	provided	provide	VERB
cana-280	62	8	strategy	strategy	NOUN
cana-280	62	9	greatly	greatly	ADV
cana-280	62	10	reduces	reduce	VERB
cana-280	62	11	the	the	DET
cana-280	62	12	time	time	NOUN
cana-280	62	13	required	require	VERB
cana-280	62	14	for	for	ADP
cana-280	62	15	finite	finite	ADJ
cana-280	62	16	element	element	NOUN
cana-280	62	17	analysis	analysis	NOUN
cana-280	62	18	.	.	PUNCT
cana-280	63	1	seungyeon	seungyeon	PROPN
cana-280	63	2	shin	shin	PROPN
cana-280	63	3	et	et	PROPN
cana-280	63	4	al	al	PROPN
cana-280	63	5	.	.	PROPN
cana-280	64	1	(	(	PUNCT
cana-280	64	2	2023	2023	NUM
cana-280	64	3	)	)	PUNCT
cana-280	64	4	examined	examine	VERB
cana-280	64	5	the	the	DET
cana-280	64	6	finite	finite	PROPN
cana-280	64	7	topology	topology	NOUN
cana-280	64	8	optimization	optimization	NOUN
cana-280	64	9	,	,	PUNCT
cana-280	64	10	a	a	DET
cana-280	64	11	support	support	NOUN
cana-280	64	12	vector	vector	NOUN
cana-280	64	13	machine	machine	NOUN
cana-280	64	14	(	(	PUNCT
cana-280	64	15	svm	svm	PROPN
cana-280	64	16	)	)	PUNCT
cana-280	64	17	based	base	VERB
cana-280	64	18	structural	structural	ADJ
cana-280	64	19	boundary	boundary	ADJ
cana-280	64	20	processing	processing	NOUN
cana-280	64	21	technique	technique	NOUN
cana-280	64	22	is	be	AUX
cana-280	64	23	used	use	VERB
cana-280	64	24	to	to	PART
cana-280	64	25	transform	transform	VERB
cana-280	64	26	the	the	DET
cana-280	64	27	implicit	implicit	ADJ
cana-280	64	28	rough	rough	ADJ
cana-280	64	29	boundary	boundary	NOUN
cana-280	64	30	into	into	ADP
cana-280	64	31	the	the	DET
cana-280	64	32	explicit	explicit	ADJ
cana-280	64	33	smooth	smooth	ADJ
cana-280	64	34	boundary	boundary	NOUN
cana-280	65	1	[	[	X
cana-280	65	2	20	20	NUM
cana-280	65	3	]	]	PUNCT
cana-280	65	4	.	.	PUNCT
cana-280	66	1	discrete	discrete	ADJ
cana-280	66	2	topology	topology	NOUN
cana-280	66	3	optimization	optimization	NOUN
cana-280	66	4	is	be	AUX
cana-280	66	5	widely	widely	ADV
cana-280	66	6	used	use	VERB
cana-280	66	7	because	because	SCONJ
cana-280	66	8	of	of	ADP
cana-280	66	9	the	the	DET
cana-280	66	10	large	large	ADJ
cana-280	66	11	degree	degree	NOUN
cana-280	66	12	of	of	ADP
cana-280	66	13	flexibility	flexibility	NOUN
cana-280	66	14	and	and	CCONJ
cana-280	66	15	great	great	ADJ
cana-280	66	16	efficacy	efficacy	NOUN
cana-280	66	17	in	in	ADP
cana-280	66	18	addressing	address	VERB
cana-280	66	19	problems	problem	NOUN
cana-280	66	20	.	.	PUNCT
cana-280	67	1	the	the	DET
cana-280	67	2	penalization	penalization	NOUN
cana-280	67	3	and	and	CCONJ
cana-280	67	4	discrete	discrete	ADJ
cana-280	67	5	level	level	NOUN
cana-280	67	6	-	-	PUNCT
cana-280	67	7	set	set	VERB
cana-280	67	8	techniques	technique	NOUN
cana-280	67	9	svm	svm	NOUN
cana-280	67	10	are	be	AUX
cana-280	67	11	used	use	VERB
cana-280	67	12	to	to	PART
cana-280	67	13	treat	treat	VERB
cana-280	67	14	the	the	DET
cana-280	67	15	boundaries	boundary	NOUN
cana-280	67	16	of	of	ADP
cana-280	67	17	the	the	DET
cana-280	67	18	solid	solid	ADJ
cana-280	67	19	isotropic	isotropic	ADJ
cana-280	67	20	material	material	NOUN
cana-280	67	21	,	,	PUNCT
cana-280	67	22	respectively	respectively	ADV
cana-280	67	23	.	.	PUNCT
cana-280	68	1	the	the	DET
cana-280	68	2	results	result	NOUN
cana-280	68	3	indicate	indicate	VERB
cana-280	68	4	that	that	PRON
cana-280	68	5	perform	perform	VERB
cana-280	68	6	in	in	ADP
cana-280	68	7	discrete	discrete	ADJ
cana-280	68	8	topology	topology	NOUN
cana-280	68	9	optimization	optimization	NOUN
cana-280	68	10	can	can	AUX
cana-280	68	11	provide	provide	VERB
cana-280	68	12	unambiguous	unambiguous	ADJ
cana-280	68	13	and	and	CCONJ
cana-280	68	14	smooth	smooth	ADJ
cana-280	68	15	structural	structural	ADJ
cana-280	68	16	boundaries	boundary	NOUN
cana-280	68	17	.	.	PUNCT
cana-280	69	1	jie	jie	PROPN
cana-280	69	2	qiao	qiao	PROPN
cana-280	69	3	et	et	PROPN
cana-280	69	4	al	al	PROPN
cana-280	69	5	.	.	PROPN
cana-280	69	6	(	(	PUNCT
cana-280	69	7	2020	2020	NUM
cana-280	69	8	)	)	PUNCT
cana-280	69	9	illustrated	illustrate	VERB
cana-280	69	10	the	the	DET
cana-280	69	11	develop	develop	VERB
cana-280	69	12	a	a	DET
cana-280	69	13	strategy	strategy	NOUN
cana-280	69	14	for	for	ADP
cana-280	69	15	optimizing	optimize	VERB
cana-280	69	16	the	the	DET
cana-280	69	17	electric	electric	ADJ
cana-280	69	18	truck	truck	NOUN
cana-280	69	19	frame	frame	NOUN
cana-280	69	20	's	's	PART
cana-280	69	21	topology	topology	NOUN
cana-280	69	22	that	that	PRON
cana-280	69	23	takes	take	VERB
cana-280	69	24	use	use	NOUN
cana-280	69	25	of	of	ADP
cana-280	69	26	orthogonal	orthogonal	ADJ
cana-280	69	27	test	test	NOUN
cana-280	69	28	designs	design	NOUN
cana-280	69	29	and	and	CCONJ
cana-280	69	30	the	the	DET
cana-280	69	31	analytic	analytic	ADJ
cana-280	69	32	hierarchy	hierarchy	NOUN
cana-280	69	33	process	process	NOUN
cana-280	69	34	(	(	PUNCT
cana-280	69	35	ahp	ahp	NOUN
cana-280	69	36	)	)	PUNCT
cana-280	70	1	[	[	X
cana-280	70	2	21	21	NUM
cana-280	70	3	]	]	PUNCT
cana-280	70	4	.	.	PUNCT
cana-280	71	1	while	while	SCONJ
cana-280	71	2	there	there	PRON
cana-280	71	3	has	have	AUX
cana-280	71	4	been	be	AUX
cana-280	71	5	some	some	DET
cana-280	71	6	systematic	systematic	ADJ
cana-280	71	7	study	study	NOUN
cana-280	71	8	on	on	ADP
cana-280	71	9	the	the	DET
cana-280	71	10	frame	frame	NOUN
cana-280	71	11	's	's	PART
cana-280	71	12	multi	multi	ADJ
cana-280	71	13	-	-	ADJ
cana-280	71	14	objective	objective	ADJ
cana-280	71	15	topological	topological	ADJ
cana-280	71	16	design	design	NOUN
cana-280	71	17	has	have	AUX
cana-280	71	18	been	be	AUX
cana-280	71	19	restricted	restrict	VERB
cana-280	71	20	in	in	ADP
cana-280	71	21	scope	scope	NOUN
cana-280	71	22	owing	owe	VERB
cana-280	71	23	to	to	ADP
cana-280	71	24	the	the	DET
cana-280	71	25	complexity	complexity	NOUN
cana-280	71	26	of	of	ADP
cana-280	71	27	loads	load	NOUN
cana-280	71	28	and	and	CCONJ
cana-280	71	29	competing	compete	VERB
cana-280	71	30	incentives	incentive	NOUN
cana-280	71	31	.	.	PUNCT
cana-280	72	1	as	as	SCONJ
cana-280	72	2	engineering	engineering	NOUN
cana-280	72	3	issues	issue	NOUN
cana-280	72	4	become	become	VERB
cana-280	72	5	more	more	ADV
cana-280	72	6	complex	complex	ADJ
cana-280	72	7	,	,	PUNCT
cana-280	72	8	the	the	DET
cana-280	72	9	hybrid	hybrid	ADJ
cana-280	72	10	approach	approach	NOUN
cana-280	72	11	is	be	AUX
cana-280	72	12	likely	likely	ADJ
cana-280	72	13	to	to	PART
cana-280	72	14	provide	provide	VERB
cana-280	72	15	valuable	valuable	ADJ
cana-280	72	16	guidance	guidance	NOUN
cana-280	72	17	.	.	PUNCT
cana-280	73	1	the	the	DET
cana-280	73	2	process	process	NOUN
cana-280	73	3	demonstrates	demonstrate	VERB
cana-280	73	4	that	that	SCONJ
cana-280	73	5	the	the	DET
cana-280	73	6	suggested	suggest	VERB
cana-280	73	7	approach	approach	NOUN
cana-280	73	8	can	can	AUX
cana-280	73	9	be	be	AUX
cana-280	73	10	an	an	DET
cana-280	73	11	effective	effective	ADJ
cana-280	73	12	technique	technique	NOUN
cana-280	73	13	for	for	ADP
cana-280	73	14	enhancing	enhance	VERB
cana-280	73	15	the	the	DET
cana-280	73	16	electric	electric	ADJ
cana-280	73	17	truck	truck	NOUN
cana-280	73	18	frame	frame	NOUN
cana-280	73	19	's	's	PART
cana-280	73	20	topology	topology	NOUN
cana-280	73	21	for	for	ADP
cana-280	73	22	several	several	ADJ
cana-280	73	23	targets	target	NOUN
cana-280	73	24	simultaneously	simultaneously	ADV
cana-280	73	25	with	with	ADP
cana-280	73	26	the	the	DET
cana-280	73	27	goal	goal	NOUN
cana-280	73	28	of	of	ADP
cana-280	73	29	achieving	achieve	VERB
cana-280	73	30	both	both	CCONJ
cana-280	73	31	lightweight	lightweight	ADJ
cana-280	73	32	and	and	CCONJ
cana-280	73	33	comprehensive	comprehensive	ADJ
cana-280	73	34	mechanical	mechanical	ADJ
cana-280	73	35	performance	performance	NOUN
cana-280	73	36	.	.	PUNCT
cana-280	74	1	https://arxiv.org/search/cs?searchtype=author&query=takahashi,+y	https://arxiv.org/search/cs?searchtype=author&query=takahashi,+y	NOUN
cana-280	74	2	javascript	javascript	NOUN
cana-280	74	3	:	:	PUNCT
cana-280	74	4	;	;	PUNCT
cana-280	74	5	https://ieeexplore.ieee.org/author/37088459470	https://ieeexplore.ieee.org/author/37088459470	ADJ
cana-280	74	6	communications	communication	NOUN
cana-280	74	7	on	on	ADP
cana-280	74	8	applied	apply	VERB
cana-280	74	9	nonlinear	nonlinear	ADJ
cana-280	74	10	analysis	analysis	NOUN
cana-280	74	11	issn	issn	NOUN
cana-280	74	12	:	:	PUNCT
cana-280	74	13	1074	1074	NUM
cana-280	74	14	-	-	PUNCT
cana-280	74	15	133x	133x	NUM
cana-280	74	16	vol	vol	NOUN
cana-280	74	17	30	30	NUM
cana-280	74	18	no	no	NOUN
cana-280	74	19	.	.	NOUN
cana-280	74	20	4	4	NUM
cana-280	74	21	(	(	PUNCT
cana-280	74	22	2023	2023	NUM
cana-280	74	23	)	)	PUNCT
cana-280	74	24	20	20	NUM
cana-280	74	25	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	74	26	a	a	DET
cana-280	74	27	few	few	ADJ
cana-280	74	28	drawbacks	drawback	NOUN
cana-280	74	29	optimization	optimization	NOUN
cana-280	74	30	of	of	ADP
cana-280	74	31	topology	topology	NOUN
cana-280	74	32	with	with	ADP
cana-280	74	33	the	the	DET
cana-280	74	34	use	use	NOUN
cana-280	74	35	of	of	ADP
cana-280	74	36	nonlinear	nonlinear	ADJ
cana-280	74	37	finite	finite	PROPN
cana-280	74	38	element	element	NOUN
cana-280	74	39	procedures	procedure	NOUN
cana-280	74	40	in	in	ADP
cana-280	74	41	the	the	DET
cana-280	74	42	modern	modern	ADJ
cana-280	74	43	day	day	NOUN
cana-280	74	44	.	.	PUNCT
cana-280	75	1	the	the	DET
cana-280	75	2	numerical	numerical	PROPN
cana-280	75	3	instability	instability	NOUN
cana-280	75	4	problem	problem	NOUN
cana-280	75	5	often	often	ADV
cana-280	75	6	arises	arise	VERB
cana-280	75	7	in	in	ADP
cana-280	75	8	low	low	ADJ
cana-280	75	9	-	-	PUNCT
cana-280	75	10	density	density	NOUN
cana-280	75	11	element	element	NOUN
cana-280	75	12	regions	region	NOUN
cana-280	75	13	during	during	ADP
cana-280	75	14	nonlinear	nonlinear	ADJ
cana-280	75	15	topology	topology	NOUN
cana-280	75	16	optimization	optimization	NOUN
cana-280	75	17	,	,	PUNCT
cana-280	75	18	especially	especially	ADV
cana-280	75	19	for	for	ADP
cana-280	75	20	cases	case	NOUN
cana-280	75	21	of	of	ADP
cana-280	75	22	large	large	ADJ
cana-280	75	23	deformation	deformation	NOUN
cana-280	75	24	.	.	PUNCT
cana-280	76	1	the	the	DET
cana-280	76	2	issue	issue	NOUN
cana-280	76	3	arises	arise	VERB
cana-280	76	4	because	because	SCONJ
cana-280	76	5	of	of	ADP
cana-280	76	6	substantial	substantial	ADJ
cana-280	76	7	element	element	NOUN
cana-280	76	8	distortion	distortion	NOUN
cana-280	76	9	.	.	PUNCT
cana-280	77	1	[	[	X
cana-280	77	2	16	16	NUM
cana-280	77	3	]	]	PUNCT
cana-280	77	4	overcomes	overcome	VERB
cana-280	77	5	the	the	DET
cana-280	77	6	drawbacks	drawback	NOUN
cana-280	77	7	of	of	ADP
cana-280	77	8	[	[	X
cana-280	77	9	17	17	NUM
cana-280	77	10	]	]	PUNCT
cana-280	77	11	,	,	PUNCT
cana-280	77	12	[	[	X
cana-280	77	13	18	18	NUM
cana-280	77	14	]	]	PUNCT
cana-280	77	15	,	,	PUNCT
cana-280	77	16	and	and	CCONJ
cana-280	77	17	compares	compare	VERB
cana-280	77	18	to	to	ADP
cana-280	77	19	the	the	DET
cana-280	77	20	suggested	suggest	VERB
cana-280	77	21	approach	approach	NOUN
cana-280	77	22	beso	beso	NOUN
cana-280	77	23	-	-	PUNCT
cana-280	77	24	dnn	dnn	PROPN
cana-280	77	25	.	.	PROPN
cana-280	78	1	3	3	NUM
cana-280	78	2	.	.	NUM
cana-280	78	3	proposed	propose	VERB
cana-280	78	4	method	method	NOUN
cana-280	78	5	:	:	PUNCT
cana-280	78	6	a	a	DET
cana-280	78	7	topology	topology	NOUN
cana-280	78	8	optimization	optimization	NOUN
cana-280	78	9	technique	technique	NOUN
cana-280	78	10	for	for	ADP
cana-280	78	11	composite	composite	ADJ
cana-280	78	12	structures	structure	NOUN
cana-280	78	13	that	that	PRON
cana-280	78	14	maximizes	maximize	VERB
cana-280	78	15	structure	structure	NOUN
cana-280	78	16	stiffness	stiffness	NOUN
cana-280	78	17	with	with	ADP
cana-280	78	18	including	include	VERB
cana-280	78	19	material	material	NOUN
cana-280	78	20	element	element	NOUN
cana-280	78	21	string	string	NOUN
cana-280	78	22	into	into	ADP
cana-280	78	23	the	the	DET
cana-280	78	24	beso	beso	PROPN
cana-280	78	25	-	-	PUNCT
cana-280	78	26	dnn	dnn	PROPN
cana-280	78	27	method	method	NOUN
cana-280	78	28	of	of	ADP
cana-280	78	29	bidirectional	bidirectional	ADJ
cana-280	78	30	evolutionary	evolutionary	ADJ
cana-280	78	31	structural	structural	ADJ
cana-280	78	32	optimization	optimization	NOUN
cana-280	78	33	.	.	PUNCT
cana-280	79	1	the	the	DET
cana-280	79	2	provided	provide	VERB
cana-280	79	3	solution	solution	NOUN
cana-280	79	4	can	can	AUX
cana-280	79	5	effectively	effectively	ADV
cana-280	79	6	optimize	optimize	VERB
cana-280	79	7	the	the	DET
cana-280	79	8	topology	topology	NOUN
cana-280	79	9	of	of	ADP
cana-280	79	10	composite	composite	ADJ
cana-280	79	11	structure	structure	NOUN
cana-280	79	12	designs	design	NOUN
cana-280	79	13	,	,	PUNCT
cana-280	79	14	like	like	ADP
cana-280	79	15	indicated	indicate	VERB
cana-280	79	16	in	in	ADP
cana-280	79	17	the	the	DET
cana-280	79	18	illustrate	illustrate	NOUN
cana-280	79	19	and	and	CCONJ
cana-280	79	20	can	can	AUX
cana-280	79	21	provide	provide	VERB
cana-280	79	22	shape	shape	NOUN
cana-280	79	23	designs	design	NOUN
cana-280	79	24	with	with	ADP
cana-280	79	25	uniform	uniform	ADJ
cana-280	79	26	stress	stress	NOUN
cana-280	79	27	distribution	distribution	NOUN
cana-280	79	28	,	,	PUNCT
cana-280	79	29	resulting	result	VERB
cana-280	79	30	in	in	ADP
cana-280	79	31	decreasing	decrease	VERB
cana-280	79	32	the	the	DET
cana-280	79	33	likelihood	likelihood	NOUN
cana-280	79	34	of	of	ADP
cana-280	79	35	structural	structural	ADJ
cana-280	79	36	failure	failure	NOUN
cana-280	79	37	due	due	ADP
cana-280	79	38	to	to	ADP
cana-280	79	39	excessive	excessive	ADJ
cana-280	79	40	stress	stress	NOUN
cana-280	79	41	concentration	concentration	NOUN
cana-280	79	42	.	.	PUNCT
cana-280	80	1	to	to	PART
cana-280	80	2	identify	identify	VERB
cana-280	80	3	the	the	DET
cana-280	80	4	best	good	ADJ
cana-280	80	5	solution	solution	NOUN
cana-280	80	6	,	,	PUNCT
cana-280	80	7	an	an	DET
cana-280	80	8	average	average	ADJ
cana-280	80	9	topology	topology	NOUN
cana-280	80	10	optimization	optimization	NOUN
cana-280	80	11	model	model	NOUN
cana-280	80	12	penalizes	penalize	VERB
cana-280	80	13	the	the	DET
cana-280	80	14	intermediate	intermediate	ADJ
cana-280	80	15	density	density	NOUN
cana-280	80	16	variables	variable	NOUN
cana-280	80	17	and	and	CCONJ
cana-280	80	18	uses	use	VERB
cana-280	80	19	models	model	NOUN
cana-280	80	20	of	of	ADP
cana-280	80	21	solid	solid	ADJ
cana-280	80	22	isotropic	isotropic	ADJ
cana-280	80	23	materials	material	NOUN
cana-280	80	24	with	with	ADP
cana-280	80	25	reasonable	reasonable	ADJ
cana-280	80	26	approximation	approximation	NOUN
cana-280	80	27	of	of	ADP
cana-280	80	28	material	material	NOUN
cana-280	80	29	abilities	ability	NOUN
cana-280	80	30	.	.	PUNCT
cana-280	81	1	figure	figure	VERB
cana-280	81	2	1	1	NUM
cana-280	81	3	flow	flow	NOUN
cana-280	81	4	chart	chart	NOUN
cana-280	81	5	of	of	ADP
cana-280	81	6	topology	topology	NOUN
cana-280	81	7	optimization	optimization	NOUN
cana-280	81	8	figure	figure	NOUN
cana-280	81	9	1	1	NUM
cana-280	81	10	shown	show	VERB
cana-280	81	11	in	in	ADP
cana-280	81	12	improve	improve	VERB
cana-280	81	13	a	a	DET
cana-280	81	14	structure	structure	NOUN
cana-280	81	15	's	's	PART
cana-280	81	16	performance	performance	NOUN
cana-280	81	17	,	,	PUNCT
cana-280	81	18	topology	topology	NOUN
cana-280	81	19	optimization	optimization	NOUN
cana-280	81	20	utilizes	utilize	VERB
cana-280	81	21	mathematics	mathematic	NOUN
cana-280	81	22	to	to	PART
cana-280	81	23	identify	identify	VERB
cana-280	81	24	the	the	DET
cana-280	81	25	best	good	ADJ
cana-280	81	26	material	material	NOUN
cana-280	81	27	distribution	distribution	NOUN
cana-280	81	28	within	within	ADP
cana-280	81	29	a	a	DET
cana-280	81	30	given	give	VERB
cana-280	81	31	design	design	NOUN
cana-280	81	32	area	area	NOUN
cana-280	81	33	,	,	PUNCT
cana-280	81	34	grabbing	grab	VERB
cana-280	81	35	into	into	ADP
cana-280	81	36	account	account	NOUN
cana-280	81	37	a	a	DET
cana-280	81	38	number	number	NOUN
cana-280	81	39	of	of	ADP
cana-280	81	40	limitations	limitation	NOUN
cana-280	81	41	.	.	PUNCT
cana-280	82	1	beso	beso	PROPN
cana-280	82	2	-	-	PUNCT
cana-280	82	3	dnn	dnn	PROPN
cana-280	82	4	has	have	AUX
cana-280	82	5	been	be	AUX
cana-280	82	6	find	find	VERB
cana-280	82	7	the	the	DET
cana-280	82	8	issue	issue	NOUN
cana-280	82	9	with	with	ADP
cana-280	82	10	the	the	DET
cana-280	82	11	design	design	NOUN
cana-280	82	12	and	and	CCONJ
cana-280	82	13	state	state	NOUN
cana-280	82	14	like	like	ADP
cana-280	82	15	reducing	reduce	VERB
cana-280	82	16	cost	cost	NOUN
cana-280	82	17	or	or	CCONJ
cana-280	82	18	increasing	increase	VERB
cana-280	82	19	stiffness	stiffness	NOUN
cana-280	82	20	.	.	PUNCT
cana-280	83	1	establish	establish	VERB
cana-280	83	2	the	the	DET
cana-280	83	3	limitations	limitation	NOUN
cana-280	83	4	,	,	PUNCT
cana-280	83	5	like	like	ADP
cana-280	83	6	people	people	NOUN
cana-280	83	7	pertaining	pertain	VERB
cana-280	83	8	to	to	ADP
cana-280	83	9	materials	material	NOUN
cana-280	83	10	,	,	PUNCT
cana-280	83	11	production	production	NOUN
cana-280	83	12	,	,	PUNCT
cana-280	83	13	and	and	CCONJ
cana-280	83	14	desired	desire	VERB
cana-280	83	15	performance	performance	NOUN
cana-280	83	16	.	.	PUNCT
cana-280	84	1	identify	identify	VERB
cana-280	84	2	the	the	DET
cana-280	84	3	boundary	boundary	ADJ
cana-280	84	4	conditions	condition	NOUN
cana-280	84	5	and	and	CCONJ
cana-280	84	6	applied	apply	VERB
cana-280	84	7	loads	load	NOUN
cana-280	84	8	that	that	SCONJ
cana-280	84	9	the	the	DET
cana-280	84	10	building	building	NOUN
cana-280	84	11	can	can	AUX
cana-280	84	12	face	face	VERB
cana-280	84	13	in	in	ADP
cana-280	84	14	communications	communication	NOUN
cana-280	84	15	on	on	ADP
cana-280	84	16	applied	apply	VERB
cana-280	84	17	nonlinear	nonlinear	ADJ
cana-280	84	18	analysis	analysis	NOUN
cana-280	84	19	issn	issn	NOUN
cana-280	84	20	:	:	PUNCT
cana-280	84	21	1074	1074	NUM
cana-280	84	22	-	-	PUNCT
cana-280	84	23	133x	133x	NUM
cana-280	84	24	vol	vol	NOUN
cana-280	84	25	30	30	NUM
cana-280	85	1	no	no	NOUN
cana-280	85	2	.	.	NOUN
cana-280	85	3	4	4	NUM
cana-280	85	4	(	(	PUNCT
cana-280	85	5	2023	2023	NUM
cana-280	85	6	)	)	PUNCT
cana-280	85	7	21	21	NUM
cana-280	85	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	85	9	a	a	DET
cana-280	85	10	operational	operational	ADJ
cana-280	85	11	lifetime	lifetime	NOUN
cana-280	85	12	.	.	PUNCT
cana-280	86	1	with	with	ADP
cana-280	86	2	the	the	DET
cana-280	86	3	material	material	NOUN
cana-280	86	4	's	's	PART
cana-280	86	5	initial	initial	ADJ
cana-280	86	6	distribution	distribution	NOUN
cana-280	86	7	,	,	PUNCT
cana-280	86	8	loads	load	NOUN
cana-280	86	9	,	,	PUNCT
cana-280	86	10	and	and	CCONJ
cana-280	86	11	limitations	limitation	NOUN
cana-280	86	12	,	,	PUNCT
cana-280	86	13	perform	perform	VERB
cana-280	86	14	a	a	DET
cana-280	86	15	finite	finite	ADJ
cana-280	86	16	element	element	NOUN
cana-280	86	17	analysis	analysis	NOUN
cana-280	86	18	to	to	PART
cana-280	86	19	assess	assess	VERB
cana-280	86	20	the	the	DET
cana-280	86	21	structural	structural	ADJ
cana-280	86	22	reaction	reaction	NOUN
cana-280	86	23	.	.	PUNCT
cana-280	87	1	determine	determine	VERB
cana-280	87	2	the	the	DET
cana-280	87	3	sensitivity	sensitivity	NOUN
cana-280	87	4	data	datum	NOUN
cana-280	87	5	that	that	PRON
cana-280	87	6	shows	show	VERB
cana-280	87	7	that	that	SCONJ
cana-280	87	8	the	the	DET
cana-280	87	9	goal	goal	NOUN
cana-280	87	10	function	function	NOUN
cana-280	87	11	and	and	CCONJ
cana-280	87	12	restrictions	restriction	NOUN
cana-280	87	13	are	be	AUX
cana-280	87	14	affected	affect	VERB
cana-280	87	15	by	by	ADP
cana-280	87	16	variations	variation	NOUN
cana-280	87	17	in	in	ADP
cana-280	87	18	material	material	ADJ
cana-280	87	19	density	density	NOUN
cana-280	87	20	.	.	PUNCT
cana-280	88	1	access	access	NOUN
cana-280	88	2	important	important	ADJ
cana-280	88	3	details	detail	NOUN
cana-280	88	4	,	,	PUNCT
cana-280	88	5	including	include	VERB
cana-280	88	6	the	the	DET
cana-280	88	7	optimized	optimize	VERB
cana-280	88	8	structure	structure	NOUN
cana-280	88	9	's	's	PART
cana-280	88	10	final	final	ADJ
cana-280	88	11	material	material	NOUN
cana-280	88	12	configuration	configuration	NOUN
cana-280	88	13	and	and	CCONJ
cana-280	88	14	performance	performance	NOUN
cana-280	88	15	data	datum	NOUN
cana-280	88	16	,	,	PUNCT
cana-280	88	17	and	and	CCONJ
cana-280	88	18	visualizing	visualize	VERB
cana-280	88	19	the	the	DET
cana-280	88	20	organization	organization	NOUN
cana-280	88	21	.	.	PUNCT
cana-280	89	1	utilize	utilize	VERB
cana-280	89	2	under	under	ADP
cana-280	89	3	effect	effect	NOUN
cana-280	89	4	multiple	multiple	ADJ
cana-280	89	5	elements	element	NOUN
cana-280	89	6	,	,	PUNCT
cana-280	89	7	including	include	VERB
cana-280	89	8	production	production	NOUN
cana-280	89	9	procedures	procedure	NOUN
cana-280	89	10	and	and	CCONJ
cana-280	89	11	pragmatic	pragmatic	ADJ
cana-280	89	12	concerns	concern	NOUN
cana-280	89	13	.	.	PUNCT
cana-280	90	1	quite	quite	ADV
cana-280	90	2	crucial	crucial	ADJ
cana-280	90	3	to	to	PART
cana-280	90	4	keep	keep	VERB
cana-280	90	5	in	in	ADP
cana-280	90	6	mind	mind	NOUN
cana-280	90	7	that	that	SCONJ
cana-280	90	8	different	different	ADJ
cana-280	90	9	optimization	optimization	NOUN
cana-280	90	10	tools	tool	NOUN
cana-280	90	11	,	,	PUNCT
cana-280	90	12	algorithms	algorithm	NOUN
cana-280	90	13	,	,	PUNCT
cana-280	90	14	and	and	CCONJ
cana-280	90	15	design	design	NOUN
cana-280	90	16	goals	goal	NOUN
cana-280	90	17	can	can	AUX
cana-280	90	18	be	be	AUX
cana-280	90	19	utilized	utilize	VERB
cana-280	90	20	for	for	ADP
cana-280	90	21	different	different	ADJ
cana-280	90	22	procedures	procedure	NOUN
cana-280	90	23	.	.	PUNCT
cana-280	91	1	figure	figure	VERB
cana-280	91	2	2	2	NUM
cana-280	91	3	overview	overview	NOUN
cana-280	91	4	of	of	ADP
cana-280	91	5	beso	beso	NOUN
cana-280	91	6	-	-	PUNCT
cana-280	91	7	dnn	dnn	PROPN
cana-280	91	8	figure	figure	NOUN
cana-280	91	9	2	2	NUM
cana-280	91	10	shown	show	VERB
cana-280	91	11	in	in	ADP
cana-280	91	12	optimization	optimization	NOUN
cana-280	91	13	technique	technique	NOUN
cana-280	91	14	for	for	ADP
cana-280	91	15	topology	topology	NOUN
cana-280	91	16	optimization	optimization	NOUN
cana-280	91	17	and	and	CCONJ
cana-280	91	18	structural	structural	ADJ
cana-280	91	19	engineering	engineering	NOUN
cana-280	91	20	is	be	AUX
cana-280	91	21	beso	beso	NOUN
cana-280	91	22	.	.	PUNCT
cana-280	92	1	the	the	DET
cana-280	92	2	beso	beso	NOUN
cana-280	92	3	is	be	AUX
cana-280	92	4	to	to	PART
cana-280	92	5	maximize	maximize	VERB
cana-280	92	6	a	a	DET
cana-280	92	7	certain	certain	ADJ
cana-280	92	8	objective	objective	ADJ
cana-280	92	9	function	function	NOUN
cana-280	92	10	,	,	PUNCT
cana-280	92	11	like	like	ADP
cana-280	92	12	decreasing	decrease	VERB
cana-280	92	13	compliance	compliance	NOUN
cana-280	92	14	and	and	CCONJ
cana-280	92	15	increasing	increase	VERB
cana-280	92	16	stiffness	stiffness	NOUN
cana-280	92	17	,	,	PUNCT
cana-280	92	18	while	while	SCONJ
cana-280	92	19	taking	take	VERB
cana-280	92	20	into	into	ADP
cana-280	92	21	account	account	NOUN
cana-280	92	22	a	a	DET
cana-280	92	23	variety	variety	NOUN
cana-280	92	24	of	of	ADP
cana-280	92	25	limitations	limitation	NOUN
cana-280	92	26	with	with	ADP
cana-280	92	27	repeatedly	repeatedly	ADV
cana-280	92	28	adding	add	VERB
cana-280	92	29	and	and	CCONJ
cana-280	92	30	removing	remove	VERB
cana-280	92	31	material	material	NOUN
cana-280	92	32	from	from	ADP
cana-280	92	33	a	a	DET
cana-280	92	34	design	design	NOUN
cana-280	92	35	area	area	NOUN
cana-280	92	36	.	.	PUNCT
cana-280	93	1	in	in	ADP
cana-280	93	2	effect	effect	NOUN
cana-280	93	3	to	to	PART
cana-280	93	4	help	help	VERB
cana-280	93	5	and	and	CCONJ
cana-280	93	6	improve	improve	VERB
cana-280	93	7	the	the	DET
cana-280	93	8	optimization	optimization	NOUN
cana-280	93	9	process	process	NOUN
cana-280	93	10	,	,	PUNCT
cana-280	93	11	that	that	DET
cana-280	93	12	integration	integration	NOUN
cana-280	93	13	can	can	AUX
cana-280	93	14	include	include	VERB
cana-280	93	15	the	the	DET
cana-280	93	16	use	use	NOUN
cana-280	93	17	of	of	ADP
cana-280	93	18	a	a	DET
cana-280	93	19	dnn	dnn	PROPN
cana-280	93	20	,	,	PUNCT
cana-280	93	21	perhaps	perhaps	ADV
cana-280	93	22	for	for	ADP
cana-280	93	23	tasks	task	NOUN
cana-280	93	24	like	like	ADP
cana-280	93	25	material	material	NOUN
cana-280	93	26	distribution	distribution	NOUN
cana-280	93	27	prediction	prediction	NOUN
cana-280	93	28	or	or	CCONJ
cana-280	93	29	topological	topological	ADJ
cana-280	93	30	optimization	optimization	NOUN
cana-280	93	31	based	base	VERB
cana-280	93	32	on	on	ADP
cana-280	93	33	more	more	ADV
cana-280	93	34	complicated	complicated	ADJ
cana-280	93	35	criteria	criterion	NOUN
cana-280	93	36	that	that	PRON
cana-280	93	37	are	be	AUX
cana-280	93	38	difficult	difficult	ADJ
cana-280	93	39	to	to	PART
cana-280	93	40	explain	explain	VERB
cana-280	93	41	analytically	analytically	ADV
cana-280	93	42	.	.	PUNCT
cana-280	94	1	topological	topological	ADJ
cana-280	94	2	optimization	optimization	NOUN
cana-280	94	3	using	use	VERB
cana-280	94	4	nonlinear	nonlinear	ADJ
cana-280	94	5	finite	finite	ADJ
cana-280	94	6	element	element	NOUN
cana-280	94	7	analysis	analysis	NOUN
cana-280	94	8	,	,	PUNCT
cana-280	94	9	particularly	particularly	ADV
cana-280	94	10	for	for	ADP
cana-280	94	11	deep	deep	ADJ
cana-280	94	12	neural	neural	ADJ
cana-280	94	13	network	network	NOUN
cana-280	94	14	communications	communication	NOUN
cana-280	94	15	on	on	ADP
cana-280	94	16	applied	apply	VERB
cana-280	94	17	nonlinear	nonlinear	ADJ
cana-280	94	18	analysis	analysis	NOUN
cana-280	94	19	issn	issn	NOUN
cana-280	94	20	:	:	PUNCT
cana-280	94	21	1074	1074	NUM
cana-280	94	22	-	-	PUNCT
cana-280	94	23	133x	133x	NUM
cana-280	94	24	vol	vol	NOUN
cana-280	94	25	30	30	NUM
cana-280	94	26	no	no	NOUN
cana-280	94	27	.	.	NOUN
cana-280	94	28	4	4	NUM
cana-280	94	29	(	(	PUNCT
cana-280	94	30	2023	2023	NUM
cana-280	94	31	)	)	PUNCT
cana-280	95	1	22	22	NUM
cana-280	95	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	95	3	integration	integration	NOUN
cana-280	95	4	applications	application	NOUN
cana-280	95	5	like	like	ADP
cana-280	95	6	as	as	ADP
cana-280	95	7	beso	beso	NOUN
cana-280	95	8	-	-	PUNCT
cana-280	95	9	dnn	dnn	PROPN
cana-280	95	10	.	.	PUNCT
cana-280	96	1	the	the	DET
cana-280	96	2	material	material	NOUN
cana-280	96	3	distribution	distribution	NOUN
cana-280	96	4	can	can	AUX
cana-280	96	5	be	be	AUX
cana-280	96	6	optimized	optimize	VERB
cana-280	96	7	using	use	VERB
cana-280	96	8	the	the	DET
cana-280	96	9	beso	beso	NOUN
cana-280	96	10	algorithm	algorithm	NOUN
cana-280	96	11	repeatedly	repeatedly	ADV
cana-280	96	12	using	use	VERB
cana-280	96	13	this	this	DET
cana-280	96	14	prediction	prediction	NOUN
cana-280	96	15	model	model	NOUN
cana-280	96	16	in	in	ADP
cana-280	96	17	accordance	accordance	NOUN
cana-280	96	18	with	with	ADP
cana-280	96	19	the	the	DET
cana-280	96	20	specified	specified	ADJ
cana-280	96	21	goals	goal	NOUN
cana-280	96	22	and	and	CCONJ
cana-280	96	23	limitations	limitation	NOUN
cana-280	96	24	.	.	PUNCT
cana-280	97	1	beso	beso	NOUN
cana-280	97	2	-	-	PUNCT
cana-280	97	3	dnn	dnn	PROPN
cana-280	97	4	's	's	PART
cana-280	97	5	efficacy	efficacy	NOUN
cana-280	97	6	would	would	AUX
cana-280	97	7	be	be	AUX
cana-280	97	8	determined	determine	VERB
cana-280	97	9	by	by	ADP
cana-280	97	10	criteria	criterion	NOUN
cana-280	97	11	like	like	ADP
cana-280	97	12	the	the	DET
cana-280	97	13	difficulty	difficulty	NOUN
cana-280	97	14	concerned	concern	VERB
cana-280	97	15	with	with	ADP
cana-280	97	16	the	the	DET
cana-280	97	17	optimization	optimization	NOUN
cana-280	97	18	problem	problem	NOUN
cana-280	97	19	,	,	PUNCT
cana-280	97	20	the	the	DET
cana-280	97	21	surrogate	surrogate	ADJ
cana-280	97	22	model	model	NOUN
cana-280	97	23	's	's	PART
cana-280	97	24	quality	quality	NOUN
cana-280	97	25	,	,	PUNCT
cana-280	97	26	and	and	CCONJ
cana-280	97	27	the	the	DET
cana-280	97	28	reliability	reliability	NOUN
cana-280	97	29	of	of	ADP
cana-280	97	30	neural	neural	ADJ
cana-280	97	31	network	network	NOUN
cana-280	97	32	predictions	prediction	NOUN
cana-280	97	33	.	.	PUNCT
cana-280	98	1	one	one	NUM
cana-280	98	2	way	way	NOUN
cana-280	98	3	to	to	PART
cana-280	98	4	maximize	maximize	VERB
cana-280	98	5	efficiency	efficiency	NOUN
cana-280	98	6	in	in	ADP
cana-280	98	7	a	a	DET
cana-280	98	8	given	give	VERB
cana-280	98	9	design	design	NOUN
cana-280	98	10	space	space	NOUN
cana-280	98	11	is	be	AUX
cana-280	98	12	by	by	ADP
cana-280	98	13	using	use	VERB
cana-280	98	14	topology	topology	NOUN
cana-280	98	15	optimization	optimization	NOUN
cana-280	98	16	.	.	PUNCT
cana-280	99	1	the	the	DET
cana-280	99	2	optimal	optimal	ADJ
cana-280	99	3	material	material	NOUN
cana-280	99	4	arrangement	arrangement	NOUN
cana-280	99	5	that	that	PRON
cana-280	99	6	minimizes	minimize	VERB
cana-280	99	7	material	material	NOUN
cana-280	99	8	consumption	consumption	NOUN
cana-280	99	9	while	while	SCONJ
cana-280	99	10	meeting	meet	VERB
cana-280	99	11	certain	certain	ADJ
cana-280	99	12	performance	performance	NOUN
cana-280	99	13	goals	goal	NOUN
cana-280	99	14	.	.	PUNCT
cana-280	100	1	a	a	DET
cana-280	100	2	single	single	ADJ
cana-280	100	3	electronic	electronic	ADJ
cana-280	100	4	method	method	NOUN
cana-280	100	5	for	for	ADP
cana-280	100	6	studying	study	VERB
cana-280	100	7	how	how	SCONJ
cana-280	100	8	structures	structure	NOUN
cana-280	100	9	and	and	CCONJ
cana-280	100	10	materials	material	NOUN
cana-280	100	11	react	react	VERB
cana-280	100	12	to	to	ADP
cana-280	100	13	different	different	ADJ
cana-280	100	14	types	type	NOUN
cana-280	100	15	of	of	ADP
cana-280	100	16	loads	load	NOUN
cana-280	100	17	is	be	AUX
cana-280	100	18	nonlinear	nonlinear	ADJ
cana-280	100	19	finite	finite	ADJ
cana-280	100	20	element	element	NOUN
cana-280	100	21	analysis	analysis	NOUN
cana-280	100	22	.	.	PUNCT
cana-280	101	1	to	to	PART
cana-280	101	2	represent	represent	VERB
cana-280	101	3	the	the	DET
cana-280	101	4	material	material	NOUN
cana-280	101	5	's	's	PART
cana-280	101	6	nonlinear	nonlinear	ADJ
cana-280	101	7	properties	property	NOUN
cana-280	101	8	,	,	PUNCT
cana-280	101	9	𝜎	𝜎	PROPN
cana-280	101	10	a	a	DET
cana-280	101	11	generic	generic	ADJ
cana-280	101	12	relationship	relationship	NOUN
cana-280	101	13	between	between	ADP
cana-280	101	14	effective	effective	ADJ
cana-280	101	15	stress	stress	NOUN
cana-280	101	16	and	and	CCONJ
cana-280	101	17	strain	strain	NOUN
cana-280	101	18	is	be	AUX
cana-280	101	19	established	establish	VERB
cana-280	101	20	the	the	DET
cana-280	101	21	equation	equation	NOUN
cana-280	101	22	(	(	PUNCT
cana-280	101	23	1	1	NUM
cana-280	101	24	)	)	PUNCT
cana-280	101	25	𝝈𝒆	𝝈𝒆	NOUN
cana-280	101	26	=	=	SYM
cana-280	101	27	𝑲𝒇(𝜺𝒆	𝑲𝒇(𝜺𝒆	NOUN
cana-280	101	28	)	)	PUNCT
cana-280	101	29	(	(	PUNCT
cana-280	101	30	1	1	X
cana-280	101	31	)	)	PUNCT
cana-280	101	32	where	where	SCONJ
cana-280	101	33	𝐾	𝐾	PROPN
cana-280	101	34	is	be	AUX
cana-280	101	35	a	a	DET
cana-280	101	36	constant	constant	ADJ
cana-280	101	37	reference	reference	NOUN
cana-280	101	38	modulus	modulus	NOUN
cana-280	101	39	of	of	ADP
cana-280	101	40	elasticity	elasticity	NOUN
cana-280	101	41	and	and	CCONJ
cana-280	101	42	function	function	NOUN
cana-280	101	43	𝒇(𝜺𝒆	𝒇(𝜺𝒆	NUM
cana-280	101	44	)	)	PUNCT
cana-280	101	45	is	be	AUX
cana-280	101	46	a	a	DET
cana-280	101	47	generic	generic	ADJ
cana-280	101	48	function	function	NOUN
cana-280	101	49	expressing	express	VERB
cana-280	101	50	the	the	DET
cana-280	101	51	material	material	NOUN
cana-280	101	52	properties	property	NOUN
cana-280	101	53	can	can	AUX
cana-280	101	54	be	be	AUX
cana-280	101	55	linearized	linearize	VERB
cana-280	101	56	incremental	incremental	ADJ
cana-280	101	57	analysis	analysis	NOUN
cana-280	101	58	is	be	AUX
cana-280	101	59	introduced	introduce	VERB
cana-280	101	60	and	and	CCONJ
cana-280	101	61	the	the	DET
cana-280	101	62	constitutive	constitutive	ADJ
cana-280	101	63	equation	equation	NOUN
cana-280	101	64	that	that	PRON
cana-280	101	65	incorporates	incorporate	VERB
cana-280	101	66	material	material	ADJ
cana-280	101	67	and	and	CCONJ
cana-280	101	68	geometric	geometric	ADJ
cana-280	101	69	nonlinearities	nonlinearitie	NOUN
cana-280	101	70	is	be	AUX
cana-280	101	71	examined	examine	VERB
cana-280	101	72	.	.	PUNCT
cana-280	102	1	to	to	PART
cana-280	102	2	explore	explore	VERB
cana-280	102	3	surface	surface	NOUN
cana-280	102	4	wrinkling	wrinkling	NOUN
cana-280	102	5	,	,	PUNCT
cana-280	102	6	material	material	NOUN
cana-280	102	7	instability	instability	NOUN
cana-280	102	8	,	,	PUNCT
cana-280	102	9	and	and	CCONJ
cana-280	102	10	local	local	ADJ
cana-280	102	11	buckling	buckling	NOUN
cana-280	102	12	,	,	PUNCT
cana-280	102	13	the	the	DET
cana-280	102	14	automated	automate	VERB
cana-280	102	15	stabilization	stabilization	NOUN
cana-280	102	16	with	with	ADP
cana-280	102	17	the	the	DET
cana-280	102	18	provided	provide	VERB
cana-280	102	19	damping	damp	VERB
cana-280	102	20	factor	factor	NOUN
cana-280	102	21	rule	rule	NOUN
cana-280	102	22	is	be	AUX
cana-280	102	23	applied	apply	VERB
cana-280	102	24	.	.	PUNCT
cana-280	103	1	a	a	DET
cana-280	103	2	constant	constant	ADJ
cana-280	103	3	damping	damp	VERB
cana-280	103	4	factor	factor	NOUN
cana-280	103	5	is	be	AUX
cana-280	103	6	used	use	VERB
cana-280	103	7	in	in	ADP
cana-280	103	8	any	any	DET
cana-280	103	9	nonlinear	nonlinear	ADJ
cana-280	103	10	quasistatic	quasistatic	ADJ
cana-280	103	11	approach	approach	NOUN
cana-280	103	12	based	base	VERB
cana-280	103	13	on	on	ADP
cana-280	103	14	the	the	DET
cana-280	103	15	global	global	ADJ
cana-280	103	16	equilibrium	equilibrium	NOUN
cana-280	103	17	equation	equation	NOUN
cana-280	103	18	in	in	ADP
cana-280	103	19	the	the	DET
cana-280	103	20	automated	automate	VERB
cana-280	103	21	stabilization	stabilization	NOUN
cana-280	103	22	method	method	NOUN
cana-280	103	23	.	.	PUNCT
cana-280	104	1	𝑭𝒗	𝑭𝒗	NOUN
cana-280	104	2	=	=	SYM
cana-280	104	3	𝑷	𝑷	PROPN
cana-280	104	4	𝑰	𝑰	PROPN
cana-280	104	5	𝒄𝑴	𝒄𝑴	PROPN
cana-280	104	6	∗	∗	NOUN
cana-280	104	7	𝒗.	𝒗.	NOUN
cana-280	104	8	𝒗	𝒗	PROPN
cana-280	105	1	=	=	SYM
cana-280	105	2	∆𝒖	∆𝒖	PROPN
cana-280	105	3	∆𝒕	∆𝒕	PROPN
cana-280	105	4	(	(	PUNCT
cana-280	105	5	2	2	NUM
cana-280	105	6	)	)	PUNCT
cana-280	105	7	where	where	SCONJ
cana-280	105	8	∆𝑢	∆𝑢	PROPN
cana-280	105	9	and	and	CCONJ
cana-280	105	10	∆𝑡	∆𝑡	PROPN
cana-280	105	11	are	be	AUX
cana-280	105	12	the	the	DET
cana-280	105	13	displacement	displacement	NOUN
cana-280	105	14	and	and	CCONJ
cana-280	105	15	time	time	NOUN
cana-280	105	16	increments	increment	NOUN
cana-280	105	17	,	,	PUNCT
cana-280	105	18	𝑀	𝑀	PROPN
cana-280	105	19	is	be	AUX
cana-280	105	20	a	a	DET
cana-280	105	21	synthetic	synthetic	ADJ
cana-280	105	22	mass	mass	NOUN
cana-280	105	23	matrix	matrix	NOUN
cana-280	105	24	with	with	ADP
cana-280	105	25	a	a	DET
cana-280	105	26	density	density	NOUN
cana-280	105	27	of	of	ADP
cana-280	105	28	a	a	DET
cana-280	105	29	decision	decision	NOUN
cana-280	105	30	,	,	PUNCT
cana-280	105	31	𝑣	𝑣	PRON
cana-280	105	32	is	be	AUX
cana-280	105	33	the	the	DET
cana-280	105	34	vector	vector	NOUN
cana-280	105	35	of	of	ADP
cana-280	105	36	nodal	nodal	ADJ
cana-280	105	37	velocities	velocity	NOUN
cana-280	105	38	,	,	PUNCT
cana-280	105	39	and	and	CCONJ
cana-280	105	40	𝑐	𝑐	PROPN
cana-280	105	41	is	be	AUX
cana-280	105	42	a	a	DET
cana-280	105	43	damping	damp	VERB
cana-280	105	44	factor	factor	NOUN
cana-280	105	45	,	,	PUNCT
cana-280	105	46	𝐹𝑣	𝐹𝑣	PROPN
cana-280	105	47	is	be	AUX
cana-280	105	48	viscous	viscous	ADJ
cana-280	105	49	forces	force	NOUN
cana-280	105	50	,	,	PUNCT
cana-280	105	51	and	and	CCONJ
cana-280	105	52	𝑃	𝑃	NOUN
cana-280	105	53	and	and	CCONJ
cana-280	105	54	𝐼	𝐼	PROPN
cana-280	105	55	are	be	AUX
cana-280	105	56	the	the	DET
cana-280	105	57	exterior	exterior	ADJ
cana-280	105	58	and	and	CCONJ
cana-280	105	59	internal	internal	ADJ
cana-280	105	60	forces	force	NOUN
cana-280	105	61	.	.	PUNCT
cana-280	106	1	the	the	DET
cana-280	106	2	structure	structure	NOUN
cana-280	106	3	is	be	AUX
cana-280	106	4	taken	take	VERB
cana-280	106	5	into	into	ADP
cana-280	106	6	account	account	NOUN
cana-280	106	7	,	,	PUNCT
cana-280	106	8	the	the	DET
cana-280	106	9	nonlinear	nonlinear	ADJ
cana-280	106	10	assumptions	assumption	NOUN
cana-280	106	11	employed	employ	VERB
cana-280	106	12	can	can	AUX
cana-280	106	13	predict	predict	VERB
cana-280	106	14	the	the	DET
cana-280	106	15	structure	structure	NOUN
cana-280	106	16	's	's	PART
cana-280	106	17	actual	actual	ADJ
cana-280	106	18	behavior	behavior	NOUN
cana-280	106	19	in	in	ADP
cana-280	106	20	the	the	DET
cana-280	106	21	case	case	NOUN
cana-280	106	22	of	of	ADP
cana-280	106	23	minor	minor	ADJ
cana-280	106	24	deformation	deformation	NOUN
cana-280	106	25	.	.	PUNCT
cana-280	107	1	the	the	DET
cana-280	107	2	structure	structure	NOUN
cana-280	107	3	's	's	PART
cana-280	107	4	lagrange	lagrange	NOUN
cana-280	107	5	strain	strain	NOUN
cana-280	107	6	tensor	tensor	NOUN
cana-280	107	7	is	be	AUX
cana-280	107	8	calculated	calculate	VERB
cana-280	107	9	using	use	VERB
cana-280	107	10	the	the	DET
cana-280	107	11	whole	whole	ADJ
cana-280	107	12	lagrange	lagrange	NOUN
cana-280	107	13	finite	finite	PROPN
cana-280	107	14	element	element	NOUN
cana-280	107	15	approach	approach	NOUN
cana-280	107	16	.	.	PUNCT
cana-280	108	1	𝑬	𝑬	X
cana-280	108	2	=	=	SYM
cana-280	108	3	𝟏	𝟏	PROPN
cana-280	108	4	𝟐	𝟐	NUM
cana-280	108	5	(	(	PUNCT
cana-280	108	6	𝑭𝑻.	𝑭𝑻.	NOUN
cana-280	108	7	𝑭	𝑭	NOUN
cana-280	108	8	−	−	PROPN
cana-280	108	9	𝑰	𝑰	PROPN
cana-280	108	10	)	)	PUNCT
cana-280	108	11	(	(	PUNCT
cana-280	108	12	3	3	X
cana-280	108	13	)	)	PUNCT
cana-280	108	14	where	where	SCONJ
cana-280	108	15	𝐹𝑇is	𝐹𝑇is	PUNCT
cana-280	108	16	the	the	DET
cana-280	108	17	identity	identity	NOUN
cana-280	108	18	tensor	tensor	NOUN
cana-280	108	19	,	,	PUNCT
cana-280	108	20	𝐸	𝐸	PROPN
cana-280	108	21	,	,	PUNCT
cana-280	108	22	and	and	CCONJ
cana-280	108	23	different	different	ADJ
cana-280	108	24	components	component	NOUN
cana-280	108	25	comprise	comprise	VERB
cana-280	108	26	the	the	DET
cana-280	108	27	deformation	deformation	NOUN
cana-280	108	28	gradient	gradient	NOUN
cana-280	108	29	tensor	tensor	NOUN
cana-280	108	30	hyper	hyper	ADJ
cana-280	108	31	elastic	elastic	ADJ
cana-280	108	32	material	material	NOUN
cana-280	108	33	model	model	NOUN
cana-280	108	34	is	be	AUX
cana-280	108	35	useful	useful	ADJ
cana-280	108	36	for	for	ADP
cana-280	108	37	modeling	model	VERB
cana-280	108	38	materials	material	NOUN
cana-280	108	39	with	with	ADP
cana-280	108	40	elastic	elastic	ADJ
cana-280	108	41	responses	response	NOUN
cana-280	108	42	are	be	AUX
cana-280	108	43	exposed	expose	VERB
cana-280	108	44	to	to	ADP
cana-280	108	45	massive	massive	ADJ
cana-280	108	46	deformations	deformation	NOUN
cana-280	108	47	,	,	PUNCT
cana-280	108	48	like	like	ADP
cana-280	108	49	rubber	rubber	NOUN
cana-280	108	50	and	and	CCONJ
cana-280	108	51	resins	resin	NOUN
cana-280	108	52	.	.	PUNCT
cana-280	109	1	as	as	SCONJ
cana-280	109	2	the	the	DET
cana-280	109	3	variables	variable	NOUN
cana-280	109	4	that	that	PRON
cana-280	109	5	compose	compose	VERB
cana-280	109	6	to	to	ADP
cana-280	109	7	the	the	DET
cana-280	109	8	design	design	NOUN
cana-280	109	9	domain	domain	NOUN
cana-280	109	10	are	be	AUX
cana-280	109	11	the	the	DET
cana-280	109	12	displacement	displacement	NOUN
cana-280	109	13	within	within	ADP
cana-280	109	14	area	area	NOUN
cana-280	109	15	and	and	CCONJ
cana-280	109	16	the	the	DET
cana-280	109	17	factor	factor	NOUN
cana-280	109	18	is	be	AUX
cana-280	109	19	determined	determine	VERB
cana-280	109	20	by	by	ADP
cana-280	109	21	interpolating	interpolate	VERB
cana-280	109	22	between	between	ADP
cana-280	109	23	n	n	PRON
cana-280	109	24	nodal	nodal	ADJ
cana-280	109	25	values	value	NOUN
cana-280	109	26	.	.	PUNCT
cana-280	110	1	𝑭	𝑭	NOUN
cana-280	110	2	=	=	PUNCT
cana-280	110	3	∑	∑	PUNCT
cana-280	110	4	𝑵𝒂	𝑵𝒂	PROPN
cana-280	110	5	(	(	PUNCT
cana-280	110	6	𝒖𝒊	𝒖𝒊	NOUN
cana-280	110	7	𝒂)𝒏	𝒂)𝒏	X
cana-280	110	8	𝒂=𝟏	𝒂=𝟏	PROPN
cana-280	110	9	(	(	PUNCT
cana-280	110	10	4	4	X
cana-280	110	11	)	)	PUNCT
cana-280	110	12	where	where	SCONJ
cana-280	110	13	𝑛	𝑛	PROPN
cana-280	110	14	signifies	signify	VERB
cana-280	110	15	an	an	DET
cana-280	110	16	arbitrary	arbitrary	ADJ
cana-280	110	17	point	point	NOUN
cana-280	110	18	's	's	PART
cana-280	110	19	coordinates	coordinate	NOUN
cana-280	110	20	of	of	ADP
cana-280	110	21	nearby	nearby	ADJ
cana-280	110	22	elements	element	NOUN
cana-280	110	23	the	the	DET
cana-280	110	24	displacement	displacement	ADJ
cana-280	110	25	vector	vector	NOUN
cana-280	110	26	at	at	ADP
cana-280	110	27	node	node	NOUN
cana-280	110	28	𝑢𝑖	𝑢𝑖	ADP
cana-280	110	29	𝑎	𝑎	NOUN
cana-280	110	30	is	be	AUX
cana-280	110	31	denoted	denote	VERB
cana-280	110	32	by	by	ADP
cana-280	110	33	𝐹.	𝐹.	PROPN
cana-280	110	34	in	in	ADP
cana-280	110	35	local	local	ADJ
cana-280	110	36	element	element	NOUN
cana-280	110	37	coordinates	coordinate	NOUN
cana-280	110	38	,	,	PUNCT
cana-280	110	39	the	the	DET
cana-280	110	40	shape	shape	NOUN
cana-280	110	41	functions	function	NOUN
cana-280	110	42	are	be	AUX
cana-280	110	43	represented	represent	VERB
cana-280	110	44	by	by	ADP
cana-280	110	45	𝑁𝑎	𝑁𝑎	PROPN
cana-280	110	46	counts	count	VERB
cana-280	110	47	the	the	DET
cana-280	110	48	nodes	node	NOUN
cana-280	110	49	that	that	PRON
cana-280	110	50	comprise	comprise	VERB
cana-280	110	51	form	form	NOUN
cana-280	110	52	the	the	DET
cana-280	110	53	element	element	NOUN
cana-280	110	54	.	.	PUNCT
cana-280	111	1	the	the	DET
cana-280	111	2	domain	domain	NOUN
cana-280	111	3	of	of	ADP
cana-280	111	4	design	design	NOUN
cana-280	111	5	that	that	PRON
cana-280	111	6	is	be	AUX
cana-280	111	7	considered	consider	VERB
cana-280	111	8	in	in	ADP
cana-280	111	9	the	the	DET
cana-280	111	10	finite	finite	PROPN
cana-280	111	11	element	element	NOUN
cana-280	111	12	approach	approach	NOUN
cana-280	111	13	is	be	AUX
cana-280	111	14	mesh	mesh	NOUN
cana-280	111	15	-	-	PUNCT
cana-280	111	16	generated	generate	VERB
cana-280	111	17	.	.	PUNCT
cana-280	112	1	a	a	DET
cana-280	112	2	displacement	displacement	ADJ
cana-280	112	3	vector	vector	NOUN
cana-280	112	4	,	,	PUNCT
cana-280	112	5	𝑢	𝑢	X
cana-280	112	6	,	,	PUNCT
cana-280	112	7	that	that	PRON
cana-280	112	8	satisfies	satisfy	VERB
cana-280	112	9	the	the	DET
cana-280	112	10	structural	structural	ADJ
cana-280	112	11	equilibrium	equilibrium	NOUN
cana-280	112	12	is	be	AUX
cana-280	112	13	found	find	VERB
cana-280	112	14	using	use	VERB
cana-280	112	15	the	the	DET
cana-280	112	16	newton	newton	PROPN
cana-280	112	17	-	-	PUNCT
cana-280	112	18	raphson	raphson	NOUN
cana-280	112	19	method	method	NOUN
cana-280	112	20	.	.	PUNCT
cana-280	113	1	𝑹(𝒙	𝑹(𝒙	NUM
cana-280	113	2	,	,	PUNCT
cana-280	113	3	𝒖	𝒖	NOUN
cana-280	113	4	)	)	PUNCT
cana-280	113	5	=	=	SYM
cana-280	113	6	𝑷𝒆𝒙𝒕	𝑷𝒆𝒙𝒕	NOUN
cana-280	113	7	−	−	PUNCT
cana-280	114	1	𝑷𝒊𝒏𝒕	𝑷𝒊𝒏𝒕	NOUN
cana-280	114	2	=	=	SYM
cana-280	114	3	𝟎	𝟎	X
cana-280	114	4	(	(	PUNCT
cana-280	114	5	5	5	NUM
cana-280	114	6	)	)	PUNCT
cana-280	114	7	in	in	ADP
cana-280	114	8	the	the	DET
cana-280	114	9	moment	moment	NOUN
cana-280	114	10	though	though	SCONJ
cana-280	114	11	the	the	DET
cana-280	114	12	residual	residual	ADJ
cana-280	114	13	vector	vector	NOUN
cana-280	114	14	𝑅(𝑥	𝑅(𝑥	NOUN
cana-280	114	15	,	,	PUNCT
cana-280	114	16	𝑢	𝑢	PART
cana-280	114	17	)	)	PUNCT
cana-280	114	18	norm	norm	NOUN
cana-280	114	19	is	be	AUX
cana-280	114	20	less	less	ADJ
cana-280	114	21	than	than	ADP
cana-280	114	22	a	a	DET
cana-280	114	23	tiny	tiny	ADJ
cana-280	114	24	positive	positive	ADJ
cana-280	114	25	number	number	NOUN
cana-280	114	26	,	,	PUNCT
cana-280	114	27	static	static	ADJ
cana-280	114	28	equilibrium	equilibrium	NOUN
cana-280	114	29	has	have	AUX
cana-280	114	30	been	be	AUX
cana-280	114	31	achieved	achieve	VERB
cana-280	114	32	.	.	PUNCT
cana-280	115	1	in	in	ADP
cana-280	115	2	density	density	NOUN
cana-280	115	3	-	-	PUNCT
cana-280	115	4	based	base	VERB
cana-280	115	5	topology	topology	NOUN
cana-280	115	6	optimization	optimization	NOUN
cana-280	115	7	,	,	PUNCT
cana-280	115	8	𝑃𝑒𝑥𝑡	𝑃𝑒𝑥𝑡	PROPN
cana-280	115	9	is	be	AUX
cana-280	115	10	the	the	DET
cana-280	115	11	residual	residual	ADJ
cana-280	115	12	force	force	NOUN
cana-280	115	13	vector	vector	NOUN
cana-280	115	14	and	and	CCONJ
cana-280	115	15	𝑃𝑖𝑛𝑡	𝑃𝑖𝑛𝑡	PROPN
cana-280	115	16	is	be	AUX
cana-280	115	17	the	the	DET
cana-280	115	18	internal	internal	ADJ
cana-280	115	19	nodal	nodal	NOUN
cana-280	115	20	force	force	NOUN
cana-280	115	21	vector	vector	NOUN
cana-280	115	22	.	.	PUNCT
cana-280	116	1	the	the	DET
cana-280	116	2	solid	solid	ADJ
cana-280	116	3	isotropic	isotropic	NOUN
cana-280	116	4	microstructure	microstructure	NOUN
cana-280	116	5	with	with	ADP
cana-280	116	6	penalty	penalty	NOUN
cana-280	116	7	method	method	NOUN
cana-280	116	8	is	be	AUX
cana-280	116	9	commonly	commonly	ADV
cana-280	116	10	employed	employ	VERB
cana-280	116	11	because	because	SCONJ
cana-280	116	12	it	it	PRON
cana-280	116	13	offers	offer	VERB
cana-280	116	14	an	an	DET
cana-280	116	15	interpolation	interpolation	NOUN
cana-280	116	16	mechanism	mechanism	NOUN
cana-280	116	17	for	for	ADP
cana-280	116	18	determining	determine	VERB
cana-280	116	19	the	the	DET
cana-280	116	20	physical	physical	ADJ
cana-280	116	21	properties	property	NOUN
cana-280	116	22	of	of	ADP
cana-280	116	23	the	the	DET
cana-280	116	24	intermediate	intermediate	ADJ
cana-280	116	25	density	density	NOUN
cana-280	116	26	element	element	NOUN
cana-280	116	27	.	.	PUNCT
cana-280	117	1	a	a	DET
cana-280	117	2	common	common	ADJ
cana-280	117	3	method	method	NOUN
cana-280	117	4	to	to	PART
cana-280	117	5	describe	describe	VERB
cana-280	117	6	an	an	DET
cana-280	117	7	element	element	NOUN
cana-280	117	8	's	's	PART
cana-280	117	9	elastic	elastic	ADJ
cana-280	117	10	modulus	modulus	NOUN
cana-280	117	11	is	be	AUX
cana-280	117	12	in	in	ADP
cana-280	117	13	terms	term	NOUN
cana-280	117	14	of	of	ADP
cana-280	117	15	the	the	DET
cana-280	117	16	relative	relative	ADJ
cana-280	117	17	densities	density	NOUN
cana-280	117	18	.	.	PUNCT
cana-280	118	1	communications	communication	NOUN
cana-280	118	2	on	on	ADP
cana-280	118	3	applied	apply	VERB
cana-280	118	4	nonlinear	nonlinear	ADJ
cana-280	118	5	analysis	analysis	NOUN
cana-280	118	6	issn	issn	NOUN
cana-280	118	7	:	:	PUNCT
cana-280	118	8	1074	1074	NUM
cana-280	118	9	-	-	PUNCT
cana-280	118	10	133x	133x	NUM
cana-280	118	11	vol	vol	NOUN
cana-280	118	12	30	30	NUM
cana-280	118	13	no	no	NOUN
cana-280	118	14	.	.	NOUN
cana-280	118	15	4	4	NUM
cana-280	118	16	(	(	PUNCT
cana-280	118	17	2023	2023	NUM
cana-280	118	18	)	)	PUNCT
cana-280	118	19	23	23	NUM
cana-280	118	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	118	21	𝑬𝒆	𝑬𝒆	PROPN
cana-280	118	22	=	=	PUNCT
cana-280	118	23	𝒙𝒆	𝒙𝒆	ADP
cana-280	118	24	𝒑	𝒑	PRON
cana-280	118	25	𝑬𝟎	𝑬𝟎	NOUN
cana-280	118	26	(	(	PUNCT
cana-280	118	27	6	6	NUM
cana-280	118	28	)	)	PUNCT
cana-280	118	29	where	where	SCONJ
cana-280	118	30	𝐸0	𝐸0	PROPN
cana-280	118	31	denotes	denote	VERB
cana-280	118	32	the	the	DET
cana-280	118	33	solid	solid	ADJ
cana-280	118	34	element	element	NOUN
cana-280	118	35	's	's	PART
cana-280	118	36	elastic	elastic	ADJ
cana-280	118	37	modulus	modulus	NOUN
cana-280	118	38	the	the	DET
cana-280	118	39	value	value	NOUN
cana-280	118	40	of	of	ADP
cana-280	118	41	𝑝	𝑝	PROPN
cana-280	118	42	is	be	AUX
cana-280	118	43	a	a	DET
cana-280	118	44	reference	reference	NOUN
cana-280	118	45	to	to	ADP
cana-280	118	46	previous	previous	ADJ
cana-280	118	47	research	research	NOUN
cana-280	118	48	that	that	PRON
cana-280	118	49	serves	serve	VERB
cana-280	118	50	as	as	ADP
cana-280	118	51	a	a	DET
cana-280	118	52	punishment	punishment	NOUN
cana-280	118	53	for	for	ADP
cana-280	118	54	the	the	DET
cana-280	118	55	element	element	NOUN
cana-280	118	56	's	's	PART
cana-280	118	57	density	density	NOUN
cana-280	118	58	.	.	PUNCT
cana-280	119	1	if	if	SCONJ
cana-280	119	2	the	the	DET
cana-280	119	3	elastic	elastic	ADJ
cana-280	119	4	modulus	modulus	NOUN
cana-280	119	5	is	be	AUX
cana-280	119	6	decreased	decrease	VERB
cana-280	119	7	,	,	PUNCT
cana-280	119	8	the	the	DET
cana-280	119	9	empty	empty	ADJ
cana-280	119	10	element	element	NOUN
cana-280	119	11	's	's	PART
cana-280	119	12	impact	impact	NOUN
cana-280	119	13	on	on	ADP
cana-280	119	14	the	the	DET
cana-280	119	15	behavior	behavior	NOUN
cana-280	119	16	prediction	prediction	NOUN
cana-280	119	17	of	of	ADP
cana-280	119	18	the	the	DET
cana-280	119	19	structure	structure	NOUN
cana-280	119	20	overall	overall	ADV
cana-280	119	21	can	can	AUX
cana-280	119	22	be	be	AUX
cana-280	119	23	mitigated	mitigate	VERB
cana-280	119	24	.	.	PUNCT
cana-280	120	1	however	however	ADV
cana-280	120	2	,	,	PUNCT
cana-280	120	3	if	if	SCONJ
cana-280	120	4	such	such	ADJ
cana-280	120	5	components	component	NOUN
cana-280	120	6	occur	occur	VERB
cana-280	120	7	early	early	ADV
cana-280	120	8	in	in	ADP
cana-280	120	9	the	the	DET
cana-280	120	10	optimization	optimization	NOUN
cana-280	120	11	process	process	NOUN
cana-280	120	12	,	,	PUNCT
cana-280	120	13	that	that	PRON
cana-280	120	14	can	can	AUX
cana-280	120	15	cause	cause	VERB
cana-280	120	16	severe	severe	ADJ
cana-280	120	17	distortion	distortion	NOUN
cana-280	120	18	,	,	PUNCT
cana-280	120	19	causing	cause	VERB
cana-280	120	20	the	the	DET
cana-280	120	21	finite	finite	ADJ
cana-280	120	22	element	element	NOUN
cana-280	120	23	analysis	analysis	NOUN
cana-280	120	24	to	to	PART
cana-280	120	25	fail	fail	VERB
cana-280	120	26	.	.	PUNCT
cana-280	121	1	the	the	DET
cana-280	121	2	displacement	displacement	ADJ
cana-280	121	3	function	function	NOUN
cana-280	121	4	used	use	VERB
cana-280	121	5	in	in	ADP
cana-280	121	6	the	the	DET
cana-280	121	7	classic	classic	ADJ
cana-280	121	8	finite	finite	ADJ
cana-280	121	9	element	element	NOUN
cana-280	121	10	technique	technique	NOUN
cana-280	121	11	may	may	AUX
cana-280	121	12	be	be	AUX
cana-280	121	13	used	use	VERB
cana-280	121	14	with	with	ADP
cana-280	121	15	this	this	DET
cana-280	121	16	formulation	formulation	NOUN
cana-280	121	17	,	,	PUNCT
cana-280	121	18	and	and	CCONJ
cana-280	121	19	the	the	DET
cana-280	121	20	integral	integral	ADJ
cana-280	121	21	in	in	ADP
cana-280	121	22	the	the	DET
cana-280	121	23	element	element	NOUN
cana-280	121	24	's	's	PART
cana-280	121	25	void	void	ADJ
cana-280	121	26	sub	sub	NOUN
cana-280	121	27	-	-	NOUN
cana-280	121	28	domain	domain	NOUN
cana-280	121	29	can	can	AUX
cana-280	121	30	be	be	AUX
cana-280	121	31	removed	remove	VERB
cana-280	121	32	.	.	PUNCT
cana-280	122	1	as	as	ADP
cana-280	122	2	a	a	DET
cana-280	122	3	consequence	consequence	NOUN
cana-280	122	4	,	,	PUNCT
cana-280	122	5	the	the	DET
cana-280	122	6	gauss	gauss	ADJ
cana-280	122	7	quadrature	quadrature	NOUN
cana-280	122	8	,	,	PUNCT
cana-280	122	9	equation	equation	NOUN
cana-280	122	10	(	(	PUNCT
cana-280	122	11	7	7	NUM
cana-280	122	12	)	)	PUNCT
cana-280	122	13	,	,	PUNCT
cana-280	122	14	can	can	AUX
cana-280	122	15	be	be	AUX
cana-280	122	16	used	use	VERB
cana-280	122	17	to	to	PART
cana-280	122	18	numerically	numerically	ADV
cana-280	122	19	compute	compute	VERB
cana-280	122	20	the	the	DET
cana-280	122	21	integral	integral	NOUN
cana-280	122	22	.	.	PUNCT
cana-280	123	1	𝑲𝒆	𝑲𝒆	X
cana-280	123	2	=	=	SYM
cana-280	123	3	∫	∫	PROPN
cana-280	123	4	𝑩𝑻𝑫𝑺𝑩𝒕𝒅𝜹	𝑩𝑻𝑫𝑺𝑩𝒕𝒅𝜹	PROPN
cana-280	123	5	(	(	PUNCT
cana-280	123	6	7	7	X
cana-280	123	7	)	)	PUNCT
cana-280	123	8	here	here	ADV
cana-280	123	9	,	,	PUNCT
cana-280	123	10	𝐷𝑆	𝐷𝑆	PROPN
cana-280	123	11	stands	stand	VERB
cana-280	123	12	for	for	ADP
cana-280	123	13	the	the	DET
cana-280	123	14	solid	solid	ADJ
cana-280	123	15	material	material	NOUN
cana-280	123	16	's	's	PART
cana-280	123	17	elasticity	elasticity	NOUN
cana-280	123	18	matrix	matrix	NOUN
cana-280	123	19	,	,	PUNCT
cana-280	123	20	𝐵	𝐵	NOUN
cana-280	123	21	for	for	ADP
cana-280	123	22	the	the	DET
cana-280	123	23	displacement	displacement	ADJ
cana-280	123	24	differentiation	differentiation	NOUN
cana-280	123	25	matrix	matrix	NOUN
cana-280	123	26	,	,	PUNCT
cana-280	123	27	and	and	CCONJ
cana-280	123	28	𝑡	𝑡	PROPN
cana-280	123	29	for	for	ADP
cana-280	123	30	the	the	DET
cana-280	123	31	element	element	NOUN
cana-280	123	32	thickness	thickness	NOUN
cana-280	123	33	matrix	matrix	NOUN
cana-280	123	34	.	.	PUNCT
cana-280	124	1	after	after	ADP
cana-280	124	2	being	be	AUX
cana-280	124	3	chopped	chop	VERB
cana-280	124	4	with	with	ADP
cana-280	124	5	a	a	DET
cana-280	124	6	boundary	boundary	ADJ
cana-280	124	7	region	region	NOUN
cana-280	124	8	in	in	ADP
cana-280	124	9	the	the	DET
cana-280	124	10	elements	element	NOUN
cana-280	124	11	,	,	PUNCT
cana-280	124	12	the	the	DET
cana-280	124	13	solid	solid	NOUN
cana-280	124	14	's	's	PART
cana-280	124	15	form	form	NOUN
cana-280	124	16	might	might	AUX
cana-280	124	17	be	be	AUX
cana-280	124	18	anything	anything	PRON
cana-280	124	19	other	other	ADJ
cana-280	124	20	than	than	ADP
cana-280	124	21	rectangular	rectangular	ADJ
cana-280	124	22	.	.	PUNCT
cana-280	125	1	4	4	X
cana-280	125	2	.	.	X
cana-280	125	3	experimental	experimental	ADJ
cana-280	125	4	analysis	analysis	NOUN
cana-280	125	5	:	:	PUNCT
cana-280	125	6	nonlinear	nonlinear	ADJ
cana-280	125	7	finite	finite	PROPN
cana-280	125	8	element	element	NOUN
cana-280	125	9	analysis	analysis	NOUN
cana-280	125	10	has	have	AUX
cana-280	125	11	emerged	emerge	VERB
cana-280	125	12	as	as	ADP
cana-280	125	13	several	several	ADJ
cana-280	125	14	of	of	ADP
cana-280	125	15	the	the	DET
cana-280	125	16	greatest	great	ADJ
cana-280	125	17	sophisticated	sophisticated	ADJ
cana-280	125	18	methodologies	methodology	NOUN
cana-280	125	19	to	to	ADP
cana-280	125	20	structural	structural	ADJ
cana-280	125	21	analysis	analysis	NOUN
cana-280	125	22	.	.	PUNCT
cana-280	126	1	that	that	PRON
cana-280	126	2	analyzes	analyze	VERB
cana-280	126	3	numerous	numerous	ADJ
cana-280	126	4	nonlinearity	nonlinearity	NOUN
cana-280	126	5	sources	source	NOUN
cana-280	126	6	such	such	ADJ
cana-280	126	7	as	as	ADP
cana-280	126	8	material	material	NOUN
cana-280	126	9	,	,	PUNCT
cana-280	126	10	geometry	geometry	NOUN
cana-280	126	11	,	,	PUNCT
cana-280	126	12	and	and	CCONJ
cana-280	126	13	boundary	boundary	ADJ
cana-280	126	14	condition	condition	NOUN
cana-280	126	15	nonlinearities	nonlinearitie	NOUN
cana-280	126	16	like	like	ADP
cana-280	126	17	contact	contact	NOUN
cana-280	126	18	.	.	PUNCT
cana-280	127	1	due	due	ADP
cana-280	127	2	to	to	ADP
cana-280	127	3	several	several	ADJ
cana-280	127	4	developing	develop	VERB
cana-280	127	5	elements	element	NOUN
cana-280	127	6	,	,	PUNCT
cana-280	127	7	optimization	optimization	NOUN
cana-280	127	8	of	of	ADP
cana-280	127	9	topologies	topology	NOUN
cana-280	127	10	with	with	ADP
cana-280	127	11	nonlinear	nonlinear	ADJ
cana-280	127	12	static	static	ADJ
cana-280	127	13	behavior	behavior	NOUN
cana-280	127	14	is	be	AUX
cana-280	127	15	an	an	DET
cana-280	127	16	arduous	arduous	ADJ
cana-280	127	17	undertaking	undertaking	NOUN
cana-280	127	18	.	.	PUNCT
cana-280	128	1	numerical	numerical	ADJ
cana-280	128	2	problems	problem	NOUN
cana-280	128	3	caused	cause	VERB
cana-280	128	4	by	by	ADP
cana-280	128	5	low	low	ADJ
cana-280	128	6	-	-	PUNCT
cana-280	128	7	density	density	NOUN
cana-280	128	8	finite	finite	ADJ
cana-280	128	9	elements	element	NOUN
cana-280	128	10	are	be	AUX
cana-280	128	11	substantial	substantial	ADJ
cana-280	128	12	.	.	PUNCT
cana-280	129	1	topology	topology	NOUN
cana-280	129	2	optimization	optimization	NOUN
cana-280	129	3	using	use	VERB
cana-280	129	4	energy	energy	NOUN
cana-280	129	5	element	element	NOUN
cana-280	129	6	densities	density	NOUN
cana-280	129	7	exhibits	exhibit	VERB
cana-280	129	8	nonlinear	nonlinear	ADJ
cana-280	129	9	behavior	behavior	NOUN
cana-280	129	10	.	.	PUNCT
cana-280	130	1	into	into	ADP
cana-280	130	2	account	account	NOUN
cana-280	130	3	owing	owe	VERB
cana-280	130	4	to	to	ADP
cana-280	130	5	high	high	ADJ
cana-280	130	6	mesh	mesh	NOUN
cana-280	130	7	distortion	distortion	NOUN
cana-280	130	8	.	.	PUNCT
cana-280	131	1	for	for	ADP
cana-280	131	2	detecting	detect	VERB
cana-280	131	3	the	the	DET
cana-280	131	4	regions	region	NOUN
cana-280	131	5	of	of	ADP
cana-280	131	6	the	the	DET
cana-280	131	7	elements	element	NOUN
cana-280	131	8	that	that	PRON
cana-280	131	9	can	can	AUX
cana-280	131	10	be	be	AUX
cana-280	131	11	eliminated	eliminate	VERB
cana-280	131	12	to	to	PART
cana-280	131	13	improve	improve	VERB
cana-280	131	14	stiffness	stiffness	NOUN
cana-280	131	15	while	while	SCONJ
cana-280	131	16	minimizing	minimize	VERB
cana-280	131	17	weight	weight	NOUN
cana-280	131	18	and	and	CCONJ
cana-280	131	19	maintaining	maintain	VERB
cana-280	131	20	maximum	maximum	ADJ
cana-280	131	21	stress	stress	NOUN
cana-280	131	22	below	below	ADP
cana-280	131	23	a	a	DET
cana-280	131	24	specific	specific	ADJ
cana-280	131	25	value	value	NOUN
cana-280	131	26	,	,	PUNCT
cana-280	131	27	topology	topology	NOUN
cana-280	131	28	optimization	optimization	NOUN
cana-280	131	29	is	be	AUX
cana-280	131	30	a	a	DET
cana-280	131	31	numerical	numerical	ADJ
cana-280	131	32	approach	approach	NOUN
cana-280	131	33	that	that	PRON
cana-280	131	34	determines	determine	VERB
cana-280	131	35	the	the	DET
cana-280	131	36	best	good	ADJ
cana-280	131	37	structure	structure	NOUN
cana-280	131	38	of	of	ADP
cana-280	131	39	structural	structural	ADJ
cana-280	131	40	components	component	NOUN
cana-280	131	41	.	.	PUNCT
cana-280	132	1	identifying	identify	VERB
cana-280	132	2	the	the	DET
cana-280	132	3	greatest	great	ADJ
cana-280	132	4	potential	potential	ADJ
cana-280	132	5	structuring	structuring	NOUN
cana-280	132	6	of	of	ADP
cana-280	132	7	the	the	DET
cana-280	132	8	solid	solid	ADJ
cana-280	132	9	and	and	CCONJ
cana-280	132	10	hollow	hollow	ADJ
cana-280	132	11	structural	structural	ADJ
cana-280	132	12	subsystems	subsystem	NOUN
cana-280	132	13	that	that	PRON
cana-280	132	14	generate	generate	VERB
cana-280	132	15	across	across	ADP
cana-280	132	16	a	a	DET
cana-280	132	17	structure	structure	NOUN
cana-280	132	18	is	be	AUX
cana-280	132	19	the	the	DET
cana-280	132	20	essence	essence	NOUN
cana-280	132	21	of	of	ADP
cana-280	132	22	structural	structural	ADJ
cana-280	132	23	topology	topology	NOUN
cana-280	132	24	optimization	optimization	NOUN
cana-280	132	25	.	.	PUNCT
cana-280	133	1	as	as	ADP
cana-280	133	2	a	a	DET
cana-280	133	3	result	result	NOUN
cana-280	133	4	of	of	ADP
cana-280	133	5	optimizing	optimize	VERB
cana-280	133	6	an	an	DET
cana-280	133	7	established	establish	VERB
cana-280	133	8	cost	cost	NOUN
cana-280	133	9	function	function	NOUN
cana-280	133	10	and	and	CCONJ
cana-280	133	11	satisfying	satisfy	VERB
cana-280	133	12	the	the	DET
cana-280	133	13	preceding	precede	VERB
cana-280	133	14	restrictions	restriction	NOUN
cana-280	133	15	,	,	PUNCT
cana-280	133	16	topology	topology	NOUN
cana-280	133	17	optimization	optimization	NOUN
cana-280	133	18	determines	determine	VERB
cana-280	133	19	the	the	DET
cana-280	133	20	best	good	ADJ
cana-280	133	21	spatial	spatial	ADJ
cana-280	133	22	distribution	distribution	NOUN
cana-280	133	23	of	of	ADP
cana-280	133	24	stuff	stuff	NOUN
cana-280	133	25	within	within	ADP
cana-280	133	26	a	a	DET
cana-280	133	27	given	give	VERB
cana-280	133	28	location	location	NOUN
cana-280	133	29	.	.	PUNCT
cana-280	134	1	dataset	dataset	ADJ
cana-280	134	2	description	description	NOUN
cana-280	134	3	:	:	PUNCT
cana-280	134	4	the	the	DET
cana-280	134	5	development	development	NOUN
cana-280	134	6	,	,	PUNCT
cana-280	134	7	implementation	implementation	NOUN
cana-280	134	8	,	,	PUNCT
cana-280	134	9	and	and	CCONJ
cana-280	134	10	demonstration	demonstration	NOUN
cana-280	134	11	of	of	ADP
cana-280	134	12	established	establish	VERB
cana-280	134	13	a	a	DET
cana-280	134	14	framework	framework	NOUN
cana-280	134	15	for	for	ADP
cana-280	134	16	functional	functional	ADJ
cana-280	134	17	grading	grading	NOUN
cana-280	134	18	of	of	ADP
cana-280	134	19	lattice	lattice	NOUN
cana-280	134	20	structures	structure	NOUN
cana-280	134	21	based	base	VERB
cana-280	134	22	on	on	ADP
cana-280	134	23	topology	topology	NOUN
cana-280	134	24	optimization	optimization	NOUN
cana-280	134	25	and	and	CCONJ
cana-280	134	26	triply	triply	ADV
cana-280	134	27	periodic	periodic	ADJ
cana-280	134	28	minimum	minimum	ADJ
cana-280	134	29	surfaces	surface	NOUN
cana-280	134	30	.	.	PUNCT
cana-280	135	1	a	a	DET
cana-280	135	2	compliance	compliance	NOUN
cana-280	135	3	issue	issue	NOUN
cana-280	135	4	based	base	VERB
cana-280	135	5	on	on	ADP
cana-280	135	6	topology	topology	NOUN
cana-280	135	7	optimization	optimization	NOUN
cana-280	135	8	is	be	AUX
cana-280	135	9	used	use	VERB
cana-280	135	10	to	to	PART
cana-280	135	11	include	include	VERB
cana-280	135	12	the	the	DET
cana-280	135	13	convex	convex	PROPN
cana-280	135	14	combinations	combination	NOUN
cana-280	135	15	;	;	PUNCT
cana-280	135	16	the	the	DET
cana-280	135	17	lattices	lattice	NOUN
cana-280	135	18	'	'	PART
cana-280	135	19	volume	volume	NOUN
cana-280	135	20	fraction	fraction	NOUN
cana-280	135	21	restrictions	restriction	NOUN
cana-280	135	22	are	be	AUX
cana-280	135	23	represented	represent	VERB
cana-280	135	24	by	by	ADP
cana-280	135	25	upper	upper	ADJ
cana-280	135	26	and	and	CCONJ
cana-280	135	27	lower	low	ADJ
cana-280	135	28	density	density	NOUN
cana-280	135	29	variable	variable	ADJ
cana-280	135	30	constraints	constraint	NOUN
cana-280	135	31	.	.	PUNCT
cana-280	136	1	as	as	SCONJ
cana-280	136	2	a	a	DET
cana-280	136	3	consequence	consequence	NOUN
cana-280	136	4	of	of	ADP
cana-280	136	5	the	the	DET
cana-280	136	6	optimization	optimization	NOUN
cana-280	136	7	loop	loop	NOUN
cana-280	136	8	's	's	PART
cana-280	136	9	usage	usage	NOUN
cana-280	136	10	of	of	ADP
cana-280	136	11	a	a	DET
cana-280	136	12	sigmoid	sigmoid	NOUN
cana-280	136	13	filter	filter	NOUN
cana-280	136	14	to	to	PART
cana-280	136	15	handle	handle	VERB
cana-280	136	16	the	the	DET
cana-280	136	17	lower	low	ADJ
cana-280	136	18	limit	limit	NOUN
cana-280	136	19	on	on	ADP
cana-280	136	20	the	the	DET
cana-280	136	21	density	density	NOUN
cana-280	136	22	variables	variable	NOUN
cana-280	136	23	,	,	PUNCT
cana-280	136	24	densities	density	NOUN
cana-280	136	25	below	below	ADP
cana-280	136	26	the	the	DET
cana-280	136	27	boundary	boundary	ADJ
cana-280	136	28	approach	approach	NOUN
cana-280	136	29	zero	zero	NUM
cana-280	136	30	.	.	PUNCT
cana-280	137	1	the	the	DET
cana-280	137	2	implicit	implicit	ADJ
cana-280	137	3	surfaces	surface	NOUN
cana-280	137	4	are	be	AUX
cana-280	137	5	then	then	ADV
cana-280	137	6	converted	convert	VERB
cana-280	137	7	to	to	ADP
cana-280	137	8	a	a	DET
cana-280	137	9	standard	standard	ADJ
cana-280	137	10	triangle	triangle	NOUN
cana-280	137	11	language	language	NOUN
cana-280	137	12	file	file	NOUN
cana-280	137	13	through	through	ADP
cana-280	137	14	use	use	NOUN
cana-280	137	15	of	of	ADP
cana-280	137	16	marching	march	VERB
cana-280	137	17	cubes	cube	NOUN
cana-280	137	18	.	.	PUNCT
cana-280	138	1	with	with	ADP
cana-280	138	2	combining	combine	VERB
cana-280	138	3	the	the	DET
cana-280	138	4	data	datum	NOUN
cana-280	138	5	with	with	ADP
cana-280	138	6	nonlinear	nonlinear	ADJ
cana-280	138	7	finite	finite	PROPN
cana-280	138	8	element	element	NOUN
cana-280	138	9	analysis	analysis	NOUN
cana-280	138	10	,	,	PUNCT
cana-280	138	11	researchers	researcher	NOUN
cana-280	138	12	can	can	AUX
cana-280	138	13	utilize	utilize	VERB
cana-280	138	14	data	datum	NOUN
cana-280	138	15	for	for	ADP
cana-280	138	16	future	future	ADJ
cana-280	138	17	studies	study	NOUN
cana-280	138	18	efficient	efficient	ADJ
cana-280	138	19	ideal	ideal	ADJ
cana-280	138	20	element	element	NOUN
cana-280	138	21	method	method	NOUN
cana-280	138	22	[	[	X
cana-280	138	23	22	22	NUM
cana-280	138	24	]	]	PUNCT
cana-280	138	25	.	.	PUNCT
cana-280	139	1	communications	communication	NOUN
cana-280	139	2	on	on	ADP
cana-280	139	3	applied	apply	VERB
cana-280	139	4	nonlinear	nonlinear	ADJ
cana-280	139	5	analysis	analysis	NOUN
cana-280	139	6	issn	issn	NOUN
cana-280	139	7	:	:	PUNCT
cana-280	139	8	1074	1074	NUM
cana-280	139	9	-	-	PUNCT
cana-280	139	10	133x	133x	NUM
cana-280	139	11	vol	vol	NOUN
cana-280	139	12	30	30	NUM
cana-280	139	13	no	no	NOUN
cana-280	139	14	.	.	NOUN
cana-280	139	15	4	4	NUM
cana-280	139	16	(	(	PUNCT
cana-280	139	17	2023	2023	NUM
cana-280	139	18	)	)	PUNCT
cana-280	139	19	24	24	NUM
cana-280	139	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	139	21	table	table	NOUN
cana-280	139	22	1	1	NUM
cana-280	139	23	comparison	comparison	NOUN
cana-280	139	24	of	of	ADP
cana-280	139	25	topology	topology	NOUN
cana-280	139	26	optimization	optimization	NOUN
cana-280	139	27	and	and	CCONJ
cana-280	139	28	performance	performance	NOUN
cana-280	139	29	methods	method	NOUN
cana-280	139	30	f	f	PROPN
cana-280	139	31	value	value	NOUN
cana-280	139	32	time	time	NOUN
cana-280	139	33	evaluations	evaluation	NOUN
cana-280	139	34	xfem	xfem	PROPN
cana-280	139	35	0.0118	0.0118	NUM
cana-280	139	36	6000s	6000s	NUM
cana-280	139	37	2000	2000	NUM
cana-280	139	38	fea	fea	PROPN
cana-280	139	39	cnn	cnn	PROPN
cana-280	139	40	0.7446	0.7446	NUM
cana-280	139	41	5220s	5220	NOUN
cana-280	139	42	1740	1740	NUM
cana-280	140	1	fea	fea	PROPN
cana-280	140	2	ann	ann	PROPN
cana-280	140	3	0.5167	0.5167	NUM
cana-280	140	4	600s	600s	PROPN
cana-280	140	5	5000	5000	NUM
cana-280	140	6	fea	fea	NOUN
cana-280	140	7	beso	beso	PROPN
cana-280	140	8	-	-	PUNCT
cana-280	140	9	dnn	dnn	PROPN
cana-280	140	10	0.0.224	0.0.224	PROPN
cana-280	140	11	400s	400s	PROPN
cana-280	140	12	14000	14000	NUM
cana-280	140	13	fea	fea	NOUN
cana-280	140	14	table	table	NOUN
cana-280	140	15	1	1	NUM
cana-280	140	16	denotes	denote	VERB
cana-280	140	17	the	the	DET
cana-280	140	18	geometry	geometry	NOUN
cana-280	140	19	due	due	ADP
cana-280	140	20	to	to	ADP
cana-280	140	21	the	the	DET
cana-280	140	22	thorough	thorough	ADJ
cana-280	140	23	finite	finite	ADJ
cana-280	140	24	element	element	NOUN
cana-280	140	25	analysis	analysis	NOUN
cana-280	140	26	(	(	PUNCT
cana-280	140	27	fea	fea	NOUN
cana-280	140	28	)	)	PUNCT
cana-280	140	29	method	method	NOUN
cana-280	140	30	that	that	PRON
cana-280	140	31	was	be	AUX
cana-280	140	32	described	describe	VERB
cana-280	140	33	.	.	PUNCT
cana-280	141	1	a	a	DET
cana-280	141	2	lesser	less	ADJ
cana-280	141	3	value	value	NOUN
cana-280	141	4	,	,	PUNCT
cana-280	141	5	f	f	PROPN
cana-280	141	6	=	=	SYM
cana-280	141	7	0.517	0.517	NUM
cana-280	141	8	,	,	PUNCT
cana-280	141	9	was	be	AUX
cana-280	141	10	found	find	VERB
cana-280	141	11	using	use	VERB
cana-280	141	12	the	the	DET
cana-280	141	13	beso	beso	PROPN
cana-280	141	14	-	-	PUNCT
cana-280	141	15	dnn	dnn	PROPN
cana-280	141	16	objective	objective	ADJ
cana-280	141	17	function	function	NOUN
cana-280	141	18	than	than	ADP
cana-280	141	19	with	with	ADP
cana-280	141	20	the	the	DET
cana-280	141	21	complete	complete	ADJ
cana-280	141	22	fea	fea	PROPN
cana-280	141	23	optimization	optimization	NOUN
cana-280	141	24	.	.	PUNCT
cana-280	142	1	with	with	ADP
cana-280	142	2	tens	ten	NOUN
cana-280	142	3	of	of	ADP
cana-280	142	4	thousands	thousand	NOUN
cana-280	142	5	(	(	PUNCT
cana-280	142	6	50,000	50,000	NUM
cana-280	142	7	)	)	PUNCT
cana-280	142	8	function	function	NOUN
cana-280	142	9	evaluations	evaluation	NOUN
cana-280	142	10	possible	possible	ADJ
cana-280	142	11	compared	compare	VERB
cana-280	142	12	to	to	ADP
cana-280	142	13	a	a	DET
cana-280	142	14	few	few	ADJ
cana-280	142	15	hundred	hundred	NUM
cana-280	142	16	(	(	PUNCT
cana-280	142	17	1740	1740	NUM
cana-280	142	18	)	)	PUNCT
cana-280	142	19	using	use	VERB
cana-280	142	20	complete	complete	ADJ
cana-280	142	21	fea	fea	PROPN
cana-280	142	22	-	-	PUNCT
cana-280	142	23	based	base	VERB
cana-280	142	24	optimization	optimization	NOUN
cana-280	142	25	,	,	PUNCT
cana-280	142	26	the	the	DET
cana-280	142	27	beso	beso	PROPN
cana-280	142	28	-	-	PUNCT
cana-280	142	29	dnn	dnn	PROPN
cana-280	142	30	optimization	optimization	NOUN
cana-280	142	31	technique	technique	NOUN
cana-280	142	32	allows	allow	VERB
cana-280	142	33	for	for	ADP
cana-280	142	34	greater	great	ADJ
cana-280	142	35	domain	domain	NOUN
cana-280	142	36	exploration	exploration	NOUN
cana-280	142	37	at	at	ADP
cana-280	142	38	a	a	DET
cana-280	142	39	lower	low	ADJ
cana-280	142	40	time	time	NOUN
cana-280	142	41	cost	cost	NOUN
cana-280	142	42	than	than	ADP
cana-280	142	43	full	full	ADJ
cana-280	142	44	fea	fea	PROPN
cana-280	142	45	-	-	PUNCT
cana-280	142	46	based	base	VERB
cana-280	142	47	optimization	optimization	NOUN
cana-280	142	48	.	.	PUNCT
cana-280	143	1	figure	figure	VERB
cana-280	143	2	3	3	NUM
cana-280	143	3	comparison	comparison	NOUN
cana-280	143	4	of	of	ADP
cana-280	143	5	optimal	optimal	ADJ
cana-280	143	6	topologies	topology	NOUN
cana-280	143	7	under	under	ADP
cana-280	143	8	different	different	ADJ
cana-280	143	9	stresses	stress	NOUN
cana-280	143	10	figure	figure	VERB
cana-280	143	11	3	3	NUM
cana-280	143	12	shown	show	VERB
cana-280	143	13	in	in	ADP
cana-280	143	14	the	the	DET
cana-280	143	15	optimization	optimization	NOUN
cana-280	143	16	results	result	NOUN
cana-280	143	17	,	,	PUNCT
cana-280	143	18	including	include	VERB
cana-280	143	19	the	the	DET
cana-280	143	20	iteration	iteration	NOUN
cana-280	143	21	numbers	number	NOUN
cana-280	143	22	,	,	PUNCT
cana-280	143	23	output	output	NOUN
cana-280	143	24	displacement	displacement	NOUN
cana-280	143	25	before	before	ADV
cana-280	143	26	and	and	CCONJ
cana-280	143	27	after	after	SCONJ
cana-280	143	28	the	the	DET
cana-280	143	29	void	void	ADJ
cana-280	143	30	element	element	NOUN
cana-280	143	31	is	be	AUX
cana-280	143	32	removed	remove	VERB
cana-280	143	33	,	,	PUNCT
cana-280	143	34	and	and	CCONJ
cana-280	143	35	cetera	cetera	NOUN
cana-280	143	36	.	.	PUNCT
cana-280	144	1	the	the	DET
cana-280	144	2	value	value	NOUN
cana-280	144	3	often	often	ADV
cana-280	144	4	increases	increase	VERB
cana-280	144	5	as	as	SCONJ
cana-280	144	6	the	the	DET
cana-280	144	7	input	input	NOUN
cana-280	144	8	force	force	NOUN
cana-280	144	9	increases	increase	VERB
cana-280	144	10	in	in	ADP
cana-280	144	11	attempt	attempt	NOUN
cana-280	144	12	to	to	PART
cana-280	144	13	avoid	avoid	VERB
cana-280	144	14	extreme	extreme	ADJ
cana-280	144	15	distortion	distortion	NOUN
cana-280	144	16	,	,	PUNCT
cana-280	144	17	which	which	PRON
cana-280	144	18	occurs	occur	VERB
cana-280	144	19	when	when	SCONJ
cana-280	144	20	the	the	DET
cana-280	144	21	input	input	NOUN
cana-280	144	22	force	force	NOUN
cana-280	144	23	is	be	AUX
cana-280	144	24	increased	increase	VERB
cana-280	144	25	and	and	CCONJ
cana-280	144	26	structural	structural	ADJ
cana-280	144	27	deformation	deformation	NOUN
cana-280	144	28	increases	increase	NOUN
cana-280	144	29	.	.	PUNCT
cana-280	145	1	the	the	DET
cana-280	145	2	design	design	NOUN
cana-280	145	3	has	have	AUX
cana-280	145	4	been	be	AUX
cana-280	145	5	mentioned	mention	VERB
cana-280	145	6	that	that	SCONJ
cana-280	145	7	the	the	DET
cana-280	145	8	value	value	NOUN
cana-280	145	9	may	may	AUX
cana-280	145	10	affect	affect	VERB
cana-280	145	11	how	how	SCONJ
cana-280	145	12	accurate	accurate	ADJ
cana-280	145	13	the	the	DET
cana-280	145	14	finite	finite	ADJ
cana-280	145	15	element	element	NOUN
cana-280	145	16	analysis	analysis	NOUN
cana-280	145	17	is	be	AUX
cana-280	145	18	.	.	PUNCT
cana-280	146	1	to	to	PART
cana-280	146	2	ensure	ensure	VERB
cana-280	146	3	that	that	SCONJ
cana-280	146	4	the	the	DET
cana-280	146	5	optimization	optimization	NOUN
cana-280	146	6	results	result	NOUN
cana-280	146	7	operate	operate	VERB
cana-280	146	8	similarly	similarly	ADV
cana-280	146	9	to	to	ADP
cana-280	146	10	the	the	DET
cana-280	146	11	real	real	ADJ
cana-280	146	12	behavior	behavior	NOUN
cana-280	146	13	,	,	PUNCT
cana-280	146	14	the	the	DET
cana-280	146	15	accuracy	accuracy	NOUN
cana-280	146	16	of	of	ADP
cana-280	146	17	the	the	DET
cana-280	146	18	finite	finite	ADJ
cana-280	146	19	element	element	NOUN
cana-280	146	20	analysis	analysis	NOUN
cana-280	146	21	quickly	quickly	ADV
cana-280	146	22	drops	drop	VERB
cana-280	146	23	and	and	CCONJ
cana-280	146	24	stays	stay	VERB
cana-280	146	25	on	on	ADP
cana-280	146	26	a	a	DET
cana-280	146	27	very	very	ADV
cana-280	146	28	low	low	ADJ
cana-280	146	29	level	level	NOUN
cana-280	146	30	with	with	ADP
cana-280	146	31	the	the	DET
cana-280	146	32	suggested	suggest	VERB
cana-280	146	33	regulatory	regulatory	ADJ
cana-280	146	34	scheme	scheme	NOUN
cana-280	146	35	.	.	PUNCT
cana-280	147	1	communications	communication	NOUN
cana-280	147	2	on	on	ADP
cana-280	147	3	applied	apply	VERB
cana-280	147	4	nonlinear	nonlinear	ADJ
cana-280	147	5	analysis	analysis	NOUN
cana-280	147	6	issn	issn	NOUN
cana-280	147	7	:	:	PUNCT
cana-280	147	8	1074	1074	NUM
cana-280	147	9	-	-	PUNCT
cana-280	147	10	133x	133x	NUM
cana-280	147	11	vol	vol	NOUN
cana-280	147	12	30	30	NUM
cana-280	147	13	no	no	NOUN
cana-280	147	14	.	.	NOUN
cana-280	147	15	4	4	NUM
cana-280	147	16	(	(	PUNCT
cana-280	147	17	2023	2023	NUM
cana-280	147	18	)	)	PUNCT
cana-280	147	19	25	25	NUM
cana-280	147	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	147	21	figure	figure	NOUN
cana-280	147	22	4	4	NUM
cana-280	147	23	mean	mean	NOUN
cana-280	147	24	square	square	ADJ
cana-280	147	25	error	error	NOUN
cana-280	147	26	rate	rate	NOUN
cana-280	147	27	in	in	ADP
cana-280	147	28	beso	beso	PROPN
cana-280	147	29	-	-	PUNCT
cana-280	147	30	dnn	dnn	PROPN
cana-280	147	31	figure	figure	NOUN
cana-280	147	32	4	4	NUM
cana-280	147	33	shown	show	VERB
cana-280	147	34	in	in	ADP
cana-280	147	35	the	the	DET
cana-280	147	36	beso	beso	NOUN
cana-280	147	37	technique	technique	NOUN
cana-280	147	38	is	be	AUX
cana-280	147	39	a	a	DET
cana-280	147	40	finite	finite	ADJ
cana-280	147	41	element	element	NOUN
cana-280	147	42	-	-	PUNCT
cana-280	147	43	based	base	VERB
cana-280	147	44	topology	topology	NOUN
cana-280	147	45	optimization	optimization	NOUN
cana-280	147	46	approach	approach	NOUN
cana-280	147	47	that	that	PRON
cana-280	147	48	removes	remove	VERB
cana-280	147	49	wasteful	wasteful	ADJ
cana-280	147	50	material	material	NOUN
cana-280	147	51	from	from	ADP
cana-280	147	52	a	a	DET
cana-280	147	53	structure	structure	NOUN
cana-280	147	54	while	while	SCONJ
cana-280	147	55	concurrently	concurrently	ADV
cana-280	147	56	adding	add	VERB
cana-280	147	57	efficient	efficient	ADJ
cana-280	147	58	material	material	NOUN
cana-280	147	59	.	.	PUNCT
cana-280	148	1	the	the	DET
cana-280	148	2	difference	difference	NOUN
cana-280	148	3	estimation	estimation	NOUN
cana-280	148	4	error	error	NOUN
cana-280	148	5	is	be	AUX
cana-280	148	6	the	the	DET
cana-280	148	7	difference	difference	NOUN
cana-280	148	8	between	between	ADP
cana-280	148	9	the	the	DET
cana-280	148	10	ideal	ideal	ADJ
cana-280	148	11	network	network	NOUN
cana-280	148	12	function	function	NOUN
cana-280	148	13	and	and	CCONJ
cana-280	148	14	a	a	DET
cana-280	148	15	network	network	NOUN
cana-280	148	16	function	function	NOUN
cana-280	148	17	that	that	PRON
cana-280	148	18	is	be	AUX
cana-280	148	19	estimated	estimate	VERB
cana-280	148	20	,	,	PUNCT
cana-280	148	21	and	and	CCONJ
cana-280	148	22	target	target	NOUN
cana-280	148	23	function	function	NOUN
cana-280	148	24	is	be	AUX
cana-280	148	25	the	the	DET
cana-280	148	26	distance	distance	NOUN
cana-280	148	27	from	from	ADP
cana-280	148	28	this	this	DET
cana-280	148	29	closest	close	ADJ
cana-280	148	30	neural	neural	ADJ
cana-280	148	31	network	network	NOUN
cana-280	148	32	function	function	NOUN
cana-280	148	33	of	of	ADP
cana-280	148	34	a	a	DET
cana-280	148	35	specific	specific	ADJ
cana-280	148	36	design	design	NOUN
cana-280	148	37	.	.	PUNCT
cana-280	149	1	there	there	PRON
cana-280	149	2	is	be	VERB
cana-280	149	3	a	a	DET
cana-280	149	4	more	more	ADV
cana-280	149	5	fundamental	fundamental	ADJ
cana-280	149	6	explanation	explanation	NOUN
cana-280	149	7	incorporating	incorporate	VERB
cana-280	149	8	statistical	statistical	ADJ
cana-280	149	9	learning	learning	NOUN
cana-280	149	10	theory	theory	NOUN
cana-280	149	11	for	for	ADP
cana-280	149	12	the	the	DET
cana-280	149	13	estimate	estimate	NOUN
cana-280	149	14	error	error	NOUN
cana-280	149	15	grows	grow	VERB
cana-280	149	16	monotonically	monotonically	ADV
cana-280	149	17	with	with	ADP
cana-280	149	18	increasing	increase	VERB
cana-280	149	19	hypothesis	hypothesis	NOUN
cana-280	149	20	class	class	NOUN
cana-280	149	21	size	size	NOUN
cana-280	149	22	.	.	PUNCT
cana-280	150	1	figure	figure	NOUN
cana-280	150	2	5	5	NUM
cana-280	150	3	impact	impact	NOUN
cana-280	150	4	of	of	ADP
cana-280	150	5	mesh	mesh	NOUN
cana-280	150	6	resolution	resolution	NOUN
cana-280	150	7	on	on	ADP
cana-280	150	8	c	c	PROPN
cana-280	150	9	evolution	evolution	NOUN
cana-280	150	10	during	during	ADP
cana-280	150	11	optimization	optimization	NOUN
cana-280	150	12	communications	communication	NOUN
cana-280	150	13	on	on	ADP
cana-280	150	14	applied	apply	VERB
cana-280	150	15	nonlinear	nonlinear	ADJ
cana-280	150	16	analysis	analysis	NOUN
cana-280	150	17	issn	issn	NOUN
cana-280	150	18	:	:	PUNCT
cana-280	150	19	1074	1074	NUM
cana-280	150	20	-	-	PUNCT
cana-280	150	21	133x	133x	NUM
cana-280	150	22	vol	vol	NOUN
cana-280	150	23	30	30	NUM
cana-280	151	1	no	no	NOUN
cana-280	151	2	.	.	NOUN
cana-280	151	3	4	4	NUM
cana-280	151	4	(	(	PUNCT
cana-280	151	5	2023	2023	NUM
cana-280	151	6	)	)	PUNCT
cana-280	151	7	26	26	NUM
cana-280	151	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	151	9	figure	figure	NOUN
cana-280	151	10	5	5	NUM
cana-280	151	11	shown	show	VERB
cana-280	151	12	in	in	ADP
cana-280	151	13	geometries	geometry	NOUN
cana-280	151	14	are	be	AUX
cana-280	151	15	mesh	mesh	NOUN
cana-280	151	16	resolution	resolution	NOUN
cana-280	151	17	-	-	PUNCT
cana-280	151	18	agnostic	agnostic	ADJ
cana-280	151	19	save	save	NOUN
cana-280	151	20	for	for	ADP
cana-280	151	21	small	small	ADJ
cana-280	151	22	changes	change	NOUN
cana-280	151	23	like	like	ADP
cana-280	151	24	an	an	DET
cana-280	151	25	additional	additional	ADJ
cana-280	151	26	horizontal	horizontal	ADJ
cana-280	151	27	element	element	NOUN
cana-280	151	28	at	at	ADP
cana-280	151	29	low	low	ADJ
cana-280	151	30	resolution	resolution	NOUN
cana-280	151	31	.	.	PUNCT
cana-280	152	1	solution	solution	NOUN
cana-280	152	2	quality	quality	NOUN
cana-280	152	3	is	be	AUX
cana-280	152	4	similar	similar	ADJ
cana-280	152	5	across	across	ADP
cana-280	152	6	structures	structure	NOUN
cana-280	152	7	.	.	PUNCT
cana-280	153	1	the	the	DET
cana-280	153	2	supplementary	supplementary	ADJ
cana-280	153	3	information	information	NOUN
cana-280	153	4	section	section	NOUN
cana-280	153	5	shows	show	VERB
cana-280	153	6	that	that	SCONJ
cana-280	153	7	mesh	mesh	NOUN
cana-280	153	8	fineness	fineness	NOUN
cana-280	153	9	affects	affect	VERB
cana-280	153	10	topologies	topology	NOUN
cana-280	153	11	and	and	CCONJ
cana-280	153	12	objective	objective	ADJ
cana-280	153	13	function	function	NOUN
cana-280	153	14	values	value	NOUN
cana-280	153	15	over	over	ADP
cana-280	153	16	the	the	DET
cana-280	153	17	spectrum	spectrum	NOUN
cana-280	153	18	of	of	ADP
cana-280	153	19	meshes	mesh	NOUN
cana-280	153	20	optimized	optimize	VERB
cana-280	153	21	for	for	ADP
cana-280	153	22	both	both	CCONJ
cana-280	153	23	the	the	DET
cana-280	153	24	finite	finite	ADJ
cana-280	153	25	element	element	NOUN
cana-280	153	26	technique	technique	NOUN
cana-280	153	27	and	and	CCONJ
cana-280	153	28	the	the	DET
cana-280	153	29	constrained	constrain	VERB
cana-280	153	30	element	element	NOUN
cana-280	153	31	method	method	NOUN
cana-280	153	32	.	.	PUNCT
cana-280	154	1	5	5	X
cana-280	154	2	.	.	X
cana-280	154	3	conclusion	conclusion	NOUN
cana-280	154	4	:	:	PUNCT
cana-280	154	5	topology	topology	NOUN
cana-280	154	6	optimization	optimization	NOUN
cana-280	154	7	mathematically	mathematically	ADV
cana-280	154	8	enhances	enhance	VERB
cana-280	154	9	system	system	NOUN
cana-280	154	10	performance	performance	NOUN
cana-280	154	11	and	and	CCONJ
cana-280	154	12	material	material	NOUN
cana-280	154	13	arrangement	arrangement	NOUN
cana-280	154	14	in	in	ADP
cana-280	154	15	a	a	DET
cana-280	154	16	design	design	NOUN
cana-280	154	17	area	area	NOUN
cana-280	154	18	for	for	ADP
cana-280	154	19	a	a	DET
cana-280	154	20	given	give	VERB
cana-280	154	21	load	load	NOUN
cana-280	154	22	,	,	PUNCT
cana-280	154	23	boundary	boundary	ADJ
cana-280	154	24	condition	condition	NOUN
cana-280	154	25	,	,	PUNCT
cana-280	154	26	and	and	CCONJ
cana-280	154	27	constraint	constraint	NOUN
cana-280	154	28	.	.	PUNCT
cana-280	155	1	the	the	DET
cana-280	155	2	essential	essential	ADJ
cana-280	155	3	reason	reason	NOUN
cana-280	155	4	for	for	ADP
cana-280	155	5	that	that	PRON
cana-280	155	6	has	have	VERB
cana-280	155	7	due	due	ADJ
cana-280	155	8	to	to	ADP
cana-280	155	9	low	low	ADJ
cana-280	155	10	-	-	PUNCT
cana-280	155	11	density	density	NOUN
cana-280	155	12	ingredients	ingredient	NOUN
cana-280	155	13	are	be	AUX
cana-280	155	14	softer	soft	ADJ
cana-280	155	15	and	and	CCONJ
cana-280	155	16	can	can	AUX
cana-280	155	17	efficiently	efficiently	ADV
cana-280	155	18	distorted	distort	VERB
cana-280	155	19	.	.	PUNCT
cana-280	156	1	mechanical	mechanical	ADJ
cana-280	156	2	and	and	CCONJ
cana-280	156	3	structural	structural	ADJ
cana-280	156	4	engineers	engineer	NOUN
cana-280	156	5	utilized	utilize	VERB
cana-280	156	6	topology	topology	NOUN
cana-280	156	7	optimization	optimization	NOUN
cana-280	156	8	to	to	PART
cana-280	156	9	save	save	VERB
cana-280	156	10	construction	construction	NOUN
cana-280	156	11	material	material	NOUN
cana-280	156	12	and	and	CCONJ
cana-280	156	13	strain	strain	VERB
cana-280	156	14	energy	energy	NOUN
cana-280	156	15	while	while	SCONJ
cana-280	156	16	maintaining	maintain	VERB
cana-280	156	17	mechanical	mechanical	ADJ
cana-280	156	18	strength	strength	NOUN
cana-280	156	19	.	.	PUNCT
cana-280	157	1	topology	topology	NOUN
cana-280	157	2	optimization	optimization	NOUN
cana-280	157	3	mathematically	mathematically	ADV
cana-280	157	4	optimises	optimise	VERB
cana-280	157	5	system	system	NOUN
cana-280	157	6	performance	performance	NOUN
cana-280	157	7	and	and	CCONJ
cana-280	157	8	composition	composition	NOUN
cana-280	157	9	inside	inside	ADP
cana-280	157	10	a	a	DET
cana-280	157	11	distinct	distinct	ADJ
cana-280	157	12	design	design	NOUN
cana-280	157	13	domain	domain	NOUN
cana-280	157	14	according	accord	VERB
cana-280	157	15	to	to	ADP
cana-280	157	16	specified	specified	ADJ
cana-280	157	17	constraints	constraint	NOUN
cana-280	157	18	,	,	PUNCT
cana-280	157	19	boundary	boundary	ADJ
cana-280	157	20	conditions	condition	NOUN
cana-280	157	21	,	,	PUNCT
cana-280	157	22	and	and	CCONJ
cana-280	157	23	loads	load	NOUN
cana-280	157	24	.	.	PUNCT
cana-280	158	1	low	low	ADJ
cana-280	158	2	-	-	PUNCT
cana-280	158	3	density	density	NOUN
cana-280	158	4	finite	finite	ADJ
cana-280	158	5	elements	element	NOUN
cana-280	158	6	can	can	AUX
cana-280	158	7	deform	deform	VERB
cana-280	158	8	the	the	DET
cana-280	158	9	mesh	mesh	NOUN
cana-280	158	10	in	in	ADP
cana-280	158	11	nonlinear	nonlinear	ADJ
cana-280	158	12	dynamic	dynamic	ADJ
cana-280	158	13	analysis	analysis	NOUN
cana-280	158	14	due	due	ADP
cana-280	158	15	to	to	ADP
cana-280	158	16	beso	beso	NOUN
cana-280	158	17	-	-	PUNCT
cana-280	158	18	dnn	dnn	PROPN
cana-280	158	19	optimizes	optimize	VERB
cana-280	158	20	topology	topology	NOUN
cana-280	158	21	using	use	VERB
cana-280	158	22	density	density	NOUN
cana-280	158	23	.	.	PUNCT
cana-280	159	1	nonlinear	nonlinear	ADJ
cana-280	159	2	dynamic	dynamic	ADJ
cana-280	159	3	analysis	analysis	NOUN
cana-280	159	4	incorporates	incorporate	VERB
cana-280	159	5	topological	topological	ADJ
cana-280	159	6	insights	insight	NOUN
cana-280	159	7	using	use	VERB
cana-280	159	8	transformation	transformation	NOUN
cana-280	159	9	variables	variable	NOUN
cana-280	159	10	for	for	ADP
cana-280	159	11	unique	unique	ADJ
cana-280	159	12	iteration	iteration	NOUN
cana-280	159	13	.	.	PUNCT
cana-280	160	1	hence	hence	ADV
cana-280	160	2	,	,	PUNCT
cana-280	160	3	geometrical	geometrical	ADJ
cana-280	160	4	nonlinearity	nonlinearity	NOUN
cana-280	160	5	is	be	AUX
cana-280	160	6	required	require	VERB
cana-280	160	7	to	to	PART
cana-280	160	8	be	be	AUX
cana-280	160	9	considered	consider	VERB
cana-280	160	10	in	in	ADP
cana-280	160	11	topology	topology	NOUN
cana-280	160	12	optimization	optimization	NOUN
cana-280	160	13	finite	finite	PROPN
cana-280	160	14	element	element	NOUN
cana-280	160	15	analyses	analysis	NOUN
cana-280	160	16	.	.	PUNCT
cana-280	161	1	due	due	ADJ
cana-280	161	2	of	of	ADP
cana-280	161	3	unique	unique	ADJ
cana-280	161	4	component	component	NOUN
cana-280	161	5	distortion	distortion	NOUN
cana-280	161	6	,	,	PUNCT
cana-280	161	7	density	density	NOUN
cana-280	161	8	interpolation	interpolation	NOUN
cana-280	161	9	-	-	PUNCT
cana-280	161	10	based	base	VERB
cana-280	161	11	topology	topology	NOUN
cana-280	161	12	optimization	optimization	NOUN
cana-280	161	13	on	on	ADP
cana-280	161	14	the	the	DET
cana-280	161	15	bigger	big	ADJ
cana-280	161	16	palm	palm	NOUN
cana-280	161	17	frequently	frequently	ADV
cana-280	161	18	fails	fail	VERB
cana-280	161	19	.	.	PUNCT
cana-280	162	1	mixed	mixed	ADJ
cana-280	162	2	-	-	PUNCT
cana-280	162	3	dimensional	dimensional	ADJ
cana-280	162	4	geometric	geometric	ADJ
cana-280	162	5	modeling	modeling	NOUN
cana-280	162	6	,	,	PUNCT
cana-280	162	7	tolerances	tolerance	NOUN
cana-280	162	8	,	,	PUNCT
cana-280	162	9	and	and	CCONJ
cana-280	162	10	physical	physical	ADJ
cana-280	162	11	behavior	behavior	NOUN
cana-280	162	12	analysis	analysis	NOUN
cana-280	162	13	use	use	VERB
cana-280	162	14	topology	topology	NOUN
cana-280	162	15	as	as	ADP
cana-280	162	16	a	a	DET
cana-280	162	17	mathematical	mathematical	ADJ
cana-280	162	18	paradigm	paradigm	NOUN
cana-280	162	19	.	.	PUNCT
cana-280	163	1	nonlinear	nonlinear	ADJ
cana-280	163	2	static	static	ADJ
cana-280	163	3	topology	topology	NOUN
cana-280	163	4	optimization	optimization	NOUN
cana-280	163	5	is	be	AUX
cana-280	163	6	challenging	challenge	VERB
cana-280	163	7	due	due	ADJ
cana-280	163	8	to	to	ADP
cana-280	163	9	the	the	DET
cana-280	163	10	significant	significant	ADJ
cana-280	163	11	variety	variety	NOUN
cana-280	163	12	of	of	ADP
cana-280	163	13	design	design	NOUN
cana-280	163	14	variables	variable	NOUN
cana-280	163	15	.	.	PUNCT
cana-280	164	1	low	low	ADJ
cana-280	164	2	-	-	PUNCT
cana-280	164	3	density	density	NOUN
cana-280	164	4	finite	finite	ADJ
cana-280	164	5	elements	element	NOUN
cana-280	164	6	generate	generate	VERB
cana-280	164	7	major	major	ADJ
cana-280	164	8	numerical	numerical	ADJ
cana-280	164	9	issues	issue	NOUN
cana-280	164	10	addressing	address	VERB
cana-280	164	11	nonlinear	nonlinear	ADJ
cana-280	164	12	behavior	behavior	NOUN
cana-280	164	13	in	in	ADP
cana-280	164	14	visible	visible	ADJ
cana-280	164	15	element	element	NOUN
cana-280	164	16	density	density	NOUN
cana-280	164	17	-	-	PUNCT
cana-280	164	18	based	base	VERB
cana-280	164	19	topology	topology	NOUN
cana-280	164	20	optimization	optimization	NOUN
cana-280	164	21	due	due	ADP
cana-280	164	22	to	to	ADP
cana-280	164	23	elevated	elevated	ADJ
cana-280	164	24	grid	grid	NOUN
cana-280	164	25	distortion	distortion	NOUN
cana-280	164	26	.	.	PUNCT
cana-280	165	1	due	due	ADP
cana-280	165	2	to	to	ADP
cana-280	165	3	the	the	DET
cana-280	165	4	impressive	impressive	ADJ
cana-280	165	5	mathematical	mathematical	ADJ
cana-280	165	6	efficiency	efficiency	NOUN
cana-280	165	7	,	,	PUNCT
cana-280	165	8	avoidance	avoidance	NOUN
cana-280	165	9	of	of	ADP
cana-280	165	10	intermediate	intermediate	ADJ
cana-280	165	11	-	-	PUNCT
cana-280	165	12	density	density	NOUN
cana-280	165	13	portions	portion	NOUN
cana-280	165	14	in	in	ADP
cana-280	165	15	the	the	DET
cana-280	165	16	solutions	solution	NOUN
cana-280	165	17	,	,	PUNCT
cana-280	165	18	and	and	CCONJ
cana-280	165	19	maintained	maintain	VERB
cana-280	165	20	advantages	advantage	NOUN
cana-280	165	21	of	of	ADP
cana-280	165	22	high	high	ADJ
cana-280	165	23	-	-	PUNCT
cana-280	165	24	resolution	resolution	NOUN
cana-280	165	25	limit	limit	NOUN
cana-280	165	26	representation	representation	NOUN
cana-280	165	27	,	,	PUNCT
cana-280	165	28	topology	topology	NOUN
cana-280	165	29	optimization	optimization	NOUN
cana-280	165	30	of	of	ADP
cana-280	165	31	geometrically	geometrically	ADV
cana-280	165	32	non	non	ADJ
cana-280	165	33	-	-	ADJ
cana-280	165	34	linear	linear	ADJ
cana-280	165	35	systems	system	NOUN
cana-280	165	36	can	can	AUX
cana-280	165	37	be	be	AUX
cana-280	165	38	strongly	strongly	ADV
cana-280	165	39	efficient	efficient	ADJ
cana-280	165	40	.	.	PUNCT
cana-280	166	1	reference	reference	NOUN
cana-280	166	2	:	:	PUNCT
cana-280	167	1	[	[	X
cana-280	167	2	1	1	X
cana-280	167	3	]	]	PUNCT
cana-280	167	4	changizi	changizi	NOUN
cana-280	167	5	,	,	PUNCT
cana-280	167	6	n.	n.	PROPN
cana-280	167	7	,	,	PUNCT
cana-280	167	8	&	&	CCONJ
cana-280	167	9	warn	warn	VERB
cana-280	167	10	,	,	PUNCT
cana-280	167	11	g.	g.	PROPN
cana-280	167	12	p.	p.	PROPN
cana-280	167	13	(	(	PUNCT
cana-280	167	14	2020	2020	NUM
cana-280	167	15	)	)	PUNCT
cana-280	167	16	.	.	PUNCT
cana-280	168	1	topology	topology	NOUN
cana-280	168	2	optimization	optimization	NOUN
cana-280	168	3	of	of	ADP
cana-280	168	4	structural	structural	ADJ
cana-280	168	5	systems	system	NOUN
cana-280	168	6	based	base	VERB
cana-280	168	7	on	on	ADP
cana-280	168	8	a	a	DET
cana-280	168	9	nonlinear	nonlinear	ADJ
cana-280	168	10	beam	beam	NOUN
cana-280	168	11	finite	finite	PROPN
cana-280	168	12	element	element	PROPN
cana-280	168	13	model	model	PROPN
cana-280	168	14	.	.	PUNCT
cana-280	169	1	structural	structural	ADJ
cana-280	169	2	and	and	CCONJ
cana-280	169	3	multidisciplinary	multidisciplinary	ADJ
cana-280	169	4	optimization	optimization	NOUN
cana-280	169	5	,	,	PUNCT
cana-280	169	6	62(5	62(5	NOUN
cana-280	169	7	)	)	PUNCT
cana-280	169	8	,	,	PUNCT
cana-280	169	9	2669	2669	NUM
cana-280	169	10	-	-	SYM
cana-280	169	11	2689	2689	NUM
cana-280	169	12	.	.	PUNCT
cana-280	170	1	[	[	X
cana-280	170	2	2	2	NUM
cana-280	170	3	]	]	SYM
cana-280	170	4	paulino	paulino	PROPN
cana-280	170	5	,	,	PUNCT
cana-280	170	6	d.	d.	PROPN
cana-280	170	7	m.	m.	PROPN
cana-280	170	8	,	,	PUNCT
cana-280	170	9	&	&	CCONJ
cana-280	170	10	leonel	leonel	PROPN
cana-280	170	11	,	,	PUNCT
cana-280	170	12	e.	e.	PROPN
cana-280	170	13	d.	d.	PROPN
cana-280	170	14	(	(	PUNCT
cana-280	170	15	2021	2021	NUM
cana-280	170	16	)	)	PUNCT
cana-280	170	17	.	.	PUNCT
cana-280	171	1	topology	topology	NOUN
cana-280	171	2	optimization	optimization	NOUN
cana-280	171	3	and	and	CCONJ
cana-280	171	4	geometric	geometric	ADJ
cana-280	171	5	nonlinear	nonlinear	NOUN
cana-280	171	6	modeling	modeling	NOUN
cana-280	171	7	using	use	VERB
cana-280	171	8	positional	positional	ADJ
cana-280	171	9	finite	finite	ADJ
cana-280	171	10	elements	element	NOUN
cana-280	171	11	.	.	PUNCT
cana-280	172	1	optimization	optimization	NOUN
cana-280	172	2	and	and	CCONJ
cana-280	172	3	engineering	engineering	NOUN
cana-280	172	4	,	,	PUNCT
cana-280	172	5	1	1	NUM
cana-280	172	6	-	-	SYM
cana-280	172	7	31	31	NUM
cana-280	172	8	.	.	PUNCT
cana-280	173	1	[	[	X
cana-280	173	2	3	3	NUM
cana-280	173	3	]	]	X
cana-280	173	4	wang	wang	PROPN
cana-280	173	5	,	,	PUNCT
cana-280	173	6	r.	r.	PROPN
cana-280	173	7	,	,	PUNCT
cana-280	173	8	zhang	zhang	PROPN
cana-280	173	9	,	,	PUNCT
cana-280	173	10	x.	x.	PROPN
cana-280	173	11	,	,	PUNCT
cana-280	173	12	zhu	zhu	PROPN
cana-280	173	13	,	,	PUNCT
cana-280	173	14	b.	b.	PROPN
cana-280	173	15	,	,	PUNCT
cana-280	173	16	zhang	zhang	PROPN
cana-280	173	17	,	,	PUNCT
cana-280	173	18	h.	h.	PROPN
cana-280	173	19	,	,	PUNCT
cana-280	173	20	chen	chen	PROPN
cana-280	173	21	,	,	PUNCT
cana-280	173	22	b.	b.	PROPN
cana-280	173	23	,	,	PUNCT
cana-280	173	24	&	&	CCONJ
cana-280	173	25	wang	wang	PROPN
cana-280	173	26	,	,	PUNCT
cana-280	173	27	h.	h.	PROPN
cana-280	173	28	(	(	PUNCT
cana-280	173	29	2020	2020	NUM
cana-280	173	30	)	)	PUNCT
cana-280	173	31	.	.	PUNCT
cana-280	174	1	topology	topology	NOUN
cana-280	174	2	optimization	optimization	NOUN
cana-280	174	3	of	of	ADP
cana-280	174	4	a	a	DET
cana-280	174	5	cable	cable	NOUN
cana-280	174	6	-	-	PUNCT
cana-280	174	7	driven	drive	VERB
cana-280	174	8	soft	soft	ADJ
cana-280	174	9	robotic	robotic	ADJ
cana-280	174	10	gripper	gripper	NOUN
cana-280	174	11	.	.	PUNCT
cana-280	175	1	structural	structural	ADJ
cana-280	175	2	and	and	CCONJ
cana-280	175	3	multidisciplinary	multidisciplinary	ADJ
cana-280	175	4	optimization	optimization	NOUN
cana-280	175	5	,	,	PUNCT
cana-280	175	6	62	62	NUM
cana-280	175	7	,	,	PUNCT
cana-280	175	8	27492763	27492763	NUM
cana-280	175	9	.	.	PUNCT
cana-280	176	1	[	[	X
cana-280	176	2	4	4	NUM
cana-280	176	3	]	]	X
cana-280	176	4	rad	rad	PROPN
cana-280	176	5	,	,	PUNCT
cana-280	176	6	m.	m.	NOUN
cana-280	176	7	m.	m.	NOUN
cana-280	176	8	,	,	PUNCT
cana-280	176	9	habashneh	habashneh	NOUN
cana-280	176	10	,	,	PUNCT
cana-280	176	11	m.	m.	NOUN
cana-280	176	12	,	,	PUNCT
cana-280	176	13	&	&	CCONJ
cana-280	176	14	logo	logo	PROPN
cana-280	176	15	,	,	PUNCT
cana-280	176	16	j.	j.	PROPN
cana-280	176	17	(	(	PUNCT
cana-280	176	18	2021	2021	NUM
cana-280	176	19	,	,	PUNCT
cana-280	176	20	december	december	PROPN
cana-280	176	21	)	)	PUNCT
cana-280	176	22	.	.	PUNCT
cana-280	177	1	elasto	elasto	NOUN
cana-280	177	2	-	-	PUNCT
cana-280	177	3	plastic	plastic	NOUN
cana-280	177	4	limit	limit	NOUN
cana-280	177	5	analysis	analysis	NOUN
cana-280	177	6	of	of	ADP
cana-280	177	7	reliability	reliability	NOUN
cana-280	177	8	based	base	VERB
cana-280	177	9	geometrically	geometrically	ADV
cana-280	177	10	nonlinear	nonlinear	ADJ
cana-280	177	11	bi	bi	ADJ
cana-280	177	12	-	-	ADJ
cana-280	177	13	directional	directional	ADJ
cana-280	177	14	evolutionary	evolutionary	ADJ
cana-280	177	15	topology	topology	NOUN
cana-280	177	16	optimization	optimization	NOUN
cana-280	177	17	.	.	PUNCT
cana-280	178	1	in	in	ADP
cana-280	178	2	structures	structure	NOUN
cana-280	178	3	(	(	PUNCT
cana-280	178	4	vol	vol	NOUN
cana-280	178	5	.	.	PUNCT
cana-280	178	6	34	34	NUM
cana-280	178	7	,	,	PUNCT
cana-280	178	8	pp	pp	ADJ
cana-280	178	9	.	.	PUNCT
cana-280	179	1	1720	1720	NUM
cana-280	179	2	-	-	SYM
cana-280	179	3	1733	1733	NUM
cana-280	179	4	)	)	PUNCT
cana-280	179	5	.	.	PUNCT
cana-280	180	1	elsevier	elsevier	NOUN
cana-280	180	2	.	.	PUNCT
cana-280	181	1	[	[	X
cana-280	181	2	5	5	NUM
cana-280	181	3	]	]	X
cana-280	181	4	liu	liu	PROPN
cana-280	181	5	,	,	PUNCT
cana-280	181	6	h.	h.	PROPN
cana-280	181	7	c.	c.	PROPN
cana-280	181	8	,	,	PUNCT
cana-280	181	9	jiang	jiang	PROPN
cana-280	181	10	,	,	PUNCT
cana-280	181	11	j.	j.	PROPN
cana-280	181	12	s.	s.	PROPN
cana-280	181	13	,	,	PUNCT
cana-280	181	14	&	&	CCONJ
cana-280	181	15	lin	lin	PROPN
cana-280	181	16	,	,	PUNCT
cana-280	181	17	c.	c.	PROPN
cana-280	181	18	l.	l.	PROPN
cana-280	181	19	(	(	PUNCT
cana-280	181	20	2020	2020	NUM
cana-280	181	21	)	)	PUNCT
cana-280	181	22	.	.	PUNCT
cana-280	182	1	biomechanical	biomechanical	ADJ
cana-280	182	2	investigation	investigation	NOUN
cana-280	182	3	of	of	ADP
cana-280	182	4	a	a	DET
cana-280	182	5	novel	novel	ADJ
cana-280	182	6	hybrid	hybrid	NOUN
cana-280	182	7	dorsal	dorsal	NOUN
cana-280	182	8	double	double	ADJ
cana-280	182	9	plating	plating	NOUN
cana-280	182	10	for	for	ADP
cana-280	182	11	distal	distal	ADJ
cana-280	182	12	radius	radius	NOUN
cana-280	182	13	fractures	fracture	NOUN
cana-280	182	14	by	by	ADP
cana-280	182	15	integrating	integrate	VERB
cana-280	182	16	topology	topology	NOUN
cana-280	182	17	optimization	optimization	NOUN
cana-280	182	18	and	and	CCONJ
cana-280	182	19	finite	finite	ADJ
cana-280	182	20	element	element	NOUN
cana-280	182	21	analysis	analysis	NOUN
cana-280	182	22	.	.	PUNCT
cana-280	183	1	injury	injury	NOUN
cana-280	183	2	,	,	PUNCT
cana-280	183	3	51(6	51(6	NOUN
cana-280	183	4	)	)	PUNCT
cana-280	183	5	,	,	PUNCT
cana-280	183	6	1271	1271	NUM
cana-280	183	7	-	-	SYM
cana-280	183	8	1280	1280	NUM
cana-280	183	9	.	.	PUNCT
cana-280	184	1	communications	communication	NOUN
cana-280	184	2	on	on	ADP
cana-280	184	3	applied	apply	VERB
cana-280	184	4	nonlinear	nonlinear	ADJ
cana-280	184	5	analysis	analysis	NOUN
cana-280	184	6	issn	issn	NOUN
cana-280	184	7	:	:	PUNCT
cana-280	184	8	1074	1074	NUM
cana-280	184	9	-	-	PUNCT
cana-280	184	10	133x	133x	NUM
cana-280	184	11	vol	vol	NOUN
cana-280	184	12	30	30	NUM
cana-280	184	13	no	no	NOUN
cana-280	184	14	.	.	NOUN
cana-280	184	15	4	4	NUM
cana-280	184	16	(	(	PUNCT
cana-280	184	17	2023	2023	NUM
cana-280	184	18	)	)	PUNCT
cana-280	184	19	27	27	NUM
cana-280	184	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-280	185	1	[	[	X
cana-280	185	2	6	6	NUM
cana-280	185	3	]	]	X
cana-280	185	4	jie	jie	PROPN
cana-280	185	5	,	,	PUNCT
cana-280	185	6	h.	h.	PROPN
cana-280	185	7	o.	o.	PROPN
cana-280	185	8	u.	u.	PROPN
cana-280	185	9	,	,	PUNCT
cana-280	185	10	xiaojun	xiaojun	PROPN
cana-280	185	11	,	,	PUNCT
cana-280	185	12	g.	g.	PROPN
cana-280	185	13	u.	u.	PROPN
cana-280	185	14	,	,	PUNCT
cana-280	185	15	jihong	jihong	PROPN
cana-280	185	16	,	,	PUNCT
cana-280	185	17	z.	z.	PROPN
cana-280	185	18	h.	h.	PROPN
cana-280	185	19	u.	u.	PROPN
cana-280	185	20	,	,	PUNCT
cana-280	185	21	jie	jie	PROPN
cana-280	185	22	,	,	PUNCT
cana-280	185	23	w.	w.	PROPN
cana-280	185	24	a.	a.	PROPN
cana-280	185	25	n.	n.	PROPN
cana-280	185	26	g.	g.	PROPN
cana-280	185	27	,	,	PUNCT
cana-280	185	28	&	&	CCONJ
cana-280	185	29	zhang	zhang	PROPN
cana-280	185	30	,	,	PUNCT
cana-280	185	31	w.	w.	PROPN
cana-280	185	32	(	(	PUNCT
cana-280	185	33	2020	2020	NUM
cana-280	185	34	)	)	PUNCT
cana-280	185	35	.	.	PUNCT
cana-280	186	1	topology	topology	NOUN
cana-280	186	2	optimization	optimization	NOUN
cana-280	186	3	of	of	ADP
cana-280	186	4	joint	joint	ADJ
cana-280	186	5	load	load	NOUN
cana-280	186	6	control	control	NOUN
cana-280	186	7	with	with	ADP
cana-280	186	8	geometrical	geometrical	ADJ
cana-280	186	9	nonlinearity	nonlinearity	NOUN
cana-280	186	10	.	.	PUNCT
cana-280	187	1	chinese	chinese	ADJ
cana-280	187	2	journal	journal	PROPN
cana-280	187	3	of	of	ADP
cana-280	187	4	aeronautics	aeronautic	NOUN
cana-280	187	5	,	,	PUNCT
cana-280	187	6	33(1	33(1	NUM
cana-280	187	7	)	)	PUNCT
cana-280	187	8	,	,	PUNCT
cana-280	187	9	372	372	NUM
cana-280	187	10	-	-	SYM
cana-280	187	11	382	382	NUM
cana-280	187	12	.	.	PUNCT
cana-280	188	1	[	[	X
cana-280	188	2	7	7	NUM
cana-280	188	3	]	]	X
cana-280	188	4	oliveira	oliveira	PROPN
cana-280	188	5	,	,	PUNCT
cana-280	188	6	h.	h.	PROPN
cana-280	188	7	l.	l.	PROPN
cana-280	188	8	,	,	PUNCT
cana-280	188	9	e	e	PROPN
cana-280	188	10	andrade	andrade	PROPN
cana-280	188	11	,	,	PUNCT
cana-280	188	12	h.	h.	PROPN
cana-280	188	13	d.	d.	PROPN
cana-280	188	14	c.	c.	PROPN
cana-280	188	15	,	,	PUNCT
cana-280	188	16	&	&	CCONJ
cana-280	188	17	leonel	leonel	PROPN
cana-280	188	18	,	,	PUNCT
cana-280	188	19	e.	e.	PROPN
cana-280	188	20	d.	d.	PROPN
cana-280	188	21	(	(	PUNCT
cana-280	188	22	2020	2020	NUM
cana-280	188	23	)	)	PUNCT
cana-280	188	24	.	.	PUNCT
cana-280	189	1	an	an	DET
cana-280	189	2	isogeometric	isogeometric	ADJ
cana-280	189	3	boundary	boundary	ADJ
cana-280	189	4	element	element	NOUN
cana-280	189	5	approach	approach	NOUN
cana-280	189	6	for	for	ADP
cana-280	189	7	topology	topology	NOUN
cana-280	189	8	optimization	optimization	NOUN
cana-280	189	9	using	use	VERB
cana-280	189	10	the	the	DET
cana-280	189	11	level	level	NOUN
cana-280	189	12	set	set	NOUN
cana-280	189	13	method	method	NOUN
cana-280	189	14	.	.	PUNCT
cana-280	190	1	applied	apply	VERB
cana-280	190	2	mathematical	mathematical	ADJ
cana-280	190	3	modelling	modelling	NOUN
cana-280	190	4	,	,	PUNCT
cana-280	190	5	84	84	NUM
cana-280	190	6	,	,	PUNCT
cana-280	190	7	536	536	NUM
cana-280	190	8	-	-	SYM
cana-280	190	9	553	553	NUM
cana-280	190	10	.	.	PUNCT
cana-280	191	1	[	[	X
cana-280	191	2	8	8	NUM
cana-280	191	3	]	]	X
cana-280	191	4	o’shaughnessy	o’shaughnessy	PROPN
cana-280	191	5	,	,	PUNCT
cana-280	191	6	c.	c.	PROPN
cana-280	191	7	,	,	PUNCT
cana-280	191	8	masoero	masoero	PROPN
cana-280	191	9	,	,	PUNCT
cana-280	191	10	e.	e.	PROPN
cana-280	191	11	,	,	PUNCT
cana-280	191	12	&	&	CCONJ
cana-280	191	13	gosling	gosling	PROPN
cana-280	191	14	,	,	PUNCT
cana-280	191	15	p.	p.	PROPN
cana-280	191	16	d.	d.	PROPN
cana-280	191	17	(	(	PUNCT
cana-280	191	18	2022	2022	NUM
cana-280	191	19	)	)	PUNCT
cana-280	191	20	.	.	PUNCT
cana-280	192	1	topology	topology	NOUN
cana-280	192	2	optimization	optimization	NOUN
cana-280	192	3	using	use	VERB
cana-280	192	4	the	the	DET
cana-280	192	5	discrete	discrete	ADJ
cana-280	192	6	element	element	NOUN
cana-280	192	7	method	method	NOUN
cana-280	192	8	.	.	PUNCT
cana-280	193	1	part	part	NOUN
cana-280	193	2	1	1	NUM
cana-280	193	3	:	:	PUNCT
cana-280	193	4	methodology	methodology	NOUN
cana-280	193	5	,	,	PUNCT
cana-280	193	6	validation	validation	NOUN
cana-280	193	7	,	,	PUNCT
cana-280	193	8	and	and	CCONJ
cana-280	193	9	geometric	geometric	ADJ
cana-280	193	10	nonlinearity	nonlinearity	NOUN
cana-280	193	11	.	.	PUNCT
cana-280	194	1	meccanica	meccanica	PROPN
cana-280	194	2	,	,	PUNCT
cana-280	194	3	57(6	57(6	NUM
cana-280	194	4	)	)	PUNCT
cana-280	194	5	,	,	PUNCT
cana-280	194	6	1213	1213	NUM
cana-280	194	7	-	-	SYM
cana-280	194	8	1231	1231	NUM
cana-280	194	9	.	.	PUNCT
cana-280	195	1	[	[	X
cana-280	195	2	9	9	NUM
cana-280	195	3	]	]	SYM
cana-280	195	4	habashneh	habashneh	NOUN
cana-280	195	5	,	,	PUNCT
cana-280	195	6	m.	m.	NOUN
cana-280	195	7	,	,	PUNCT
cana-280	195	8	&	&	CCONJ
cana-280	195	9	rad	rad	PROPN
cana-280	195	10	,	,	PUNCT
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cana-280	195	12	m.	m.	NOUN
cana-280	195	13	(	(	PUNCT
cana-280	195	14	2023	2023	NUM
cana-280	195	15	)	)	PUNCT
cana-280	195	16	.	.	PUNCT
cana-280	196	1	reliability	reliability	NOUN
cana-280	196	2	based	base	VERB
cana-280	196	3	topology	topology	NOUN
cana-280	196	4	optimization	optimization	NOUN
cana-280	196	5	of	of	ADP
cana-280	196	6	thermoelastic	thermoelastic	ADJ
cana-280	196	7	structures	structure	NOUN
cana-280	196	8	using	use	VERB
cana-280	196	9	bi	bi	ADJ
cana-280	196	10	-	-	ADJ
cana-280	196	11	directional	directional	ADJ
cana-280	196	12	evolutionary	evolutionary	ADJ
cana-280	196	13	structural	structural	ADJ
cana-280	196	14	optimization	optimization	NOUN
cana-280	196	15	method	method	NOUN
cana-280	196	16	.	.	PUNCT
cana-280	197	1	international	international	ADJ
cana-280	197	2	journal	journal	PROPN
cana-280	197	3	of	of	ADP
cana-280	197	4	mechanics	mechanic	NOUN
cana-280	197	5	and	and	CCONJ
cana-280	197	6	materials	material	NOUN
cana-280	197	7	in	in	ADP
cana-280	197	8	design	design	NOUN
cana-280	197	9	,	,	PUNCT
cana-280	197	10	1	1	NUM
cana-280	197	11	-	-	SYM
cana-280	197	12	16	16	NUM
cana-280	197	13	.	.	PUNCT
cana-280	198	1	[	[	X
cana-280	198	2	10	10	NUM
cana-280	198	3	]	]	X
cana-280	198	4	barmada	barmada	NOUN
cana-280	198	5	,	,	PUNCT
cana-280	198	6	s.	s.	PROPN
cana-280	198	7	,	,	PUNCT
cana-280	198	8	fontana	fontana	PROPN
cana-280	198	9	,	,	PUNCT
cana-280	198	10	n.	n.	NOUN
cana-280	198	11	,	,	PUNCT
cana-280	198	12	formisano	formisano	PROPN
cana-280	198	13	,	,	PUNCT
cana-280	198	14	a.	a.	NOUN
cana-280	198	15	,	,	PUNCT
cana-280	198	16	thomopulos	thomopulos	PROPN
cana-280	198	17	,	,	PUNCT
cana-280	198	18	d.	d.	PROPN
cana-280	198	19	,	,	PUNCT
cana-280	198	20	&	&	CCONJ
cana-280	198	21	tucci	tucci	PROPN
cana-280	198	22	,	,	PUNCT
cana-280	198	23	m.	m.	NOUN
cana-280	198	24	(	(	PUNCT
cana-280	198	25	2021	2021	NUM
cana-280	198	26	)	)	PUNCT
cana-280	198	27	.	.	PUNCT
cana-280	199	1	a	a	DET
cana-280	199	2	deep	deep	ADJ
cana-280	199	3	learning	learn	VERB
cana-280	199	4	surrogate	surrogate	ADJ
cana-280	199	5	model	model	NOUN
cana-280	199	6	for	for	ADP
cana-280	199	7	topology	topology	NOUN
cana-280	199	8	optimization	optimization	NOUN
cana-280	199	9	.	.	PUNCT
cana-280	200	1	ieee	ieee	NOUN
cana-280	200	2	transactions	transaction	NOUN
cana-280	200	3	on	on	ADP
cana-280	200	4	magnetics	magnetic	NOUN
cana-280	200	5	,	,	PUNCT
cana-280	200	6	57(6	57(6	NUM
cana-280	200	7	)	)	PUNCT
cana-280	200	8	,	,	PUNCT
cana-280	200	9	1	1	NUM
cana-280	200	10	-	-	SYM
cana-280	200	11	4	4	NUM
cana-280	200	12	.	.	PUNCT
cana-280	201	1	[	[	X
cana-280	201	2	11	11	NUM
cana-280	201	3	]	]	X
cana-280	201	4	zhang	zhang	PROPN
cana-280	201	5	,	,	PUNCT
cana-280	201	6	g.	g.	PROPN
cana-280	201	7	,	,	PUNCT
cana-280	201	8	khandelwal	khandelwal	PROPN
cana-280	201	9	,	,	PUNCT
cana-280	201	10	k.	k.	PROPN
cana-280	201	11	,	,	PUNCT
cana-280	201	12	&	&	CCONJ
cana-280	201	13	guo	guo	PROPN
cana-280	201	14	,	,	PUNCT
cana-280	201	15	t.	t.	PROPN
cana-280	201	16	(	(	PUNCT
cana-280	201	17	2023	2023	NUM
cana-280	201	18	)	)	PUNCT
cana-280	201	19	.	.	PUNCT
cana-280	202	1	finite	finite	PROPN
cana-280	202	2	strain	strain	NOUN
cana-280	202	3	topology	topology	NOUN
cana-280	202	4	optimization	optimization	NOUN
cana-280	202	5	with	with	ADP
cana-280	202	6	nonlinear	nonlinear	ADJ
cana-280	202	7	stability	stability	NOUN
cana-280	202	8	constraints	constraint	NOUN
cana-280	202	9	.	.	PUNCT
cana-280	203	1	computer	computer	NOUN
cana-280	203	2	methods	method	NOUN
cana-280	203	3	in	in	ADP
cana-280	203	4	applied	applied	ADJ
cana-280	203	5	mechanics	mechanic	NOUN
cana-280	203	6	and	and	CCONJ
cana-280	203	7	engineering	engineering	NOUN
cana-280	203	8	,	,	PUNCT
cana-280	203	9	413	413	NUM
cana-280	203	10	,	,	PUNCT
cana-280	203	11	116119	116119	NUM
cana-280	203	12	.	.	PUNCT
cana-280	204	1	[	[	X
cana-280	204	2	12	12	NUM
cana-280	204	3	]	]	X
cana-280	204	4	abdi	abdi	PROPN
cana-280	204	5	,	,	PUNCT
cana-280	204	6	m.	m.	NOUN
cana-280	204	7	,	,	PUNCT
cana-280	204	8	ashcroft	ashcroft	PROPN
cana-280	204	9	,	,	PUNCT
cana-280	204	10	i.	i.	PROPN
cana-280	204	11	,	,	PUNCT
cana-280	204	12	&	&	CCONJ
cana-280	204	13	wildman	wildman	PROPN
cana-280	204	14	,	,	PUNCT
cana-280	204	15	r.	r.	PROPN
cana-280	204	16	(	(	PUNCT
cana-280	204	17	2018	2018	NUM
cana-280	204	18	)	)	PUNCT
cana-280	204	19	.	.	PUNCT
cana-280	205	1	topology	topology	NOUN
cana-280	205	2	optimization	optimization	NOUN
cana-280	205	3	of	of	ADP
cana-280	205	4	geometrically	geometrically	ADV
cana-280	205	5	nonlinear	nonlinear	ADJ
cana-280	205	6	structures	structure	NOUN
cana-280	205	7	using	use	VERB
cana-280	205	8	an	an	DET
cana-280	205	9	evolutionary	evolutionary	ADJ
cana-280	205	10	optimization	optimization	NOUN
cana-280	205	11	method	method	NOUN
cana-280	205	12	.	.	PUNCT
cana-280	206	1	engineering	engineering	NOUN
cana-280	206	2	optimization	optimization	NOUN
cana-280	206	3	,	,	PUNCT
cana-280	206	4	50(11	50(11	NUM
cana-280	206	5	)	)	PUNCT
cana-280	206	6	,	,	PUNCT
cana-280	206	7	18501870	18501870	NUM
cana-280	206	8	.	.	PUNCT
cana-280	207	1	[	[	X
cana-280	207	2	13	13	NUM
cana-280	207	3	]	]	SYM
cana-280	207	4	li	li	PROPN
cana-280	207	5	,	,	PUNCT
cana-280	207	6	x.	x.	PROPN
cana-280	207	7	,	,	PUNCT
cana-280	207	8	zhang	zhang	PROPN
cana-280	207	9	,	,	PUNCT
cana-280	207	10	x.	x.	PROPN
cana-280	207	11	,	,	PUNCT
cana-280	207	12	&	&	CCONJ
cana-280	207	13	zhang	zhang	PROPN
cana-280	207	14	,	,	PUNCT
cana-280	207	15	y.	y.	PROPN
cana-280	207	16	(	(	PUNCT
cana-280	207	17	2023	2023	NUM
cana-280	207	18	)	)	PUNCT
cana-280	207	19	.	.	PUNCT
cana-280	208	1	three	three	NUM
cana-280	208	2	-	-	PUNCT
cana-280	208	3	dimensional	dimensional	ADJ
cana-280	208	4	plasticity	plasticity	NOUN
cana-280	208	5	-	-	PUNCT
cana-280	208	6	based	base	VERB
cana-280	208	7	topology	topology	NOUN
cana-280	208	8	optimization	optimization	NOUN
cana-280	208	9	with	with	ADP
cana-280	208	10	smoothed	smooth	VERB
cana-280	208	11	finite	finite	ADJ
cana-280	208	12	element	element	NOUN
cana-280	208	13	analysis	analysis	NOUN
cana-280	208	14	.	.	PUNCT
cana-280	209	1	computational	computational	ADJ
cana-280	209	2	mechanics	mechanic	NOUN
cana-280	209	3	,	,	PUNCT
cana-280	209	4	1	1	NUM
cana-280	209	5	-	-	SYM
cana-280	209	6	16	16	NUM
cana-280	209	7	.	.	PUNCT
cana-280	210	1	[	[	X
cana-280	210	2	14	14	NUM
cana-280	210	3	]	]	X
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cana-280	210	5	,	,	PUNCT
cana-280	210	6	x.	x.	PROPN
cana-280	210	7	,	,	PUNCT
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cana-280	210	9	,	,	PUNCT
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cana-280	210	11	q.	q.	PROPN
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cana-280	210	13	&	&	CCONJ
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cana-280	210	17	(	(	PUNCT
cana-280	210	18	2023	2023	NUM
cana-280	210	19	)	)	PUNCT
cana-280	210	20	.	.	PUNCT
cana-280	211	1	topology	topology	NOUN
cana-280	211	2	optimization	optimization	NOUN
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cana-280	211	4	nonlinear	nonlinear	ADJ
cana-280	211	5	flexoelectric	flexoelectric	ADJ
cana-280	211	6	structures	structure	NOUN
cana-280	211	7	.	.	PUNCT
cana-280	212	1	journal	journal	NOUN
cana-280	212	2	of	of	ADP
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cana-280	212	4	mechanics	mechanic	NOUN
cana-280	212	5	and	and	CCONJ
cana-280	212	6	physics	physic	NOUN
cana-280	212	7	of	of	ADP
cana-280	212	8	solids	solid	NOUN
cana-280	212	9	,	,	PUNCT
cana-280	212	10	171	171	NUM
cana-280	212	11	,	,	PUNCT
cana-280	212	12	105117	105117	NUM
cana-280	212	13	.	.	PUNCT
cana-280	213	1	[	[	X
cana-280	213	2	15	15	NUM
cana-280	213	3	]	]	X
cana-280	213	4	xie	xie	PROPN
cana-280	213	5	,	,	PUNCT
cana-280	213	6	w.	w.	PROPN
cana-280	213	7	,	,	PUNCT
cana-280	213	8	xia	xia	PROPN
cana-280	213	9	,	,	PUNCT
cana-280	213	10	q.	q.	PROPN
cana-280	213	11	,	,	PUNCT
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cana-280	213	19	y.	y.	PROPN
cana-280	213	20	(	(	PUNCT
cana-280	213	21	2023	2023	NUM
cana-280	213	22	)	)	PUNCT
cana-280	213	23	.	.	PUNCT
cana-280	214	1	an	an	DET
cana-280	214	2	effective	effective	ADJ
cana-280	214	3	phase	phase	NOUN
cana-280	214	4	field	field	NOUN
cana-280	214	5	method	method	NOUN
cana-280	214	6	for	for	ADP
cana-280	214	7	topology	topology	NOUN
cana-280	214	8	optimization	optimization	NOUN
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cana-280	214	10	the	the	DET
cana-280	214	11	curvature	curvature	NOUN
cana-280	214	12	effects	effect	NOUN
cana-280	214	13	.	.	PUNCT
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cana-280	215	2	&	&	CCONJ
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cana-280	215	5	applications	application	NOUN
cana-280	215	6	,	,	PUNCT
cana-280	215	7	146	146	NUM
cana-280	215	8	,	,	PUNCT
cana-280	215	9	200	200	NUM
cana-280	215	10	-	-	SYM
cana-280	215	11	212	212	NUM
cana-280	215	12	.	.	PUNCT
cana-280	216	1	[	[	X
cana-280	216	2	16	16	NUM
cana-280	216	3	]	]	X
cana-280	216	4	jansen	jansen	PROPN
cana-280	216	5	,	,	PUNCT
cana-280	216	6	m.	m.	NOUN
cana-280	216	7	(	(	PUNCT
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cana-280	216	9	)	)	PUNCT
cana-280	216	10	.	.	PUNCT
cana-280	216	11	explicit	explicit	ADJ
cana-280	216	12	level	level	NOUN
cana-280	216	13	set	set	VERB
cana-280	216	14	and	and	CCONJ
cana-280	216	15	density	density	NOUN
cana-280	216	16	methods	method	NOUN
cana-280	216	17	for	for	ADP
cana-280	216	18	topology	topology	NOUN
cana-280	216	19	optimization	optimization	NOUN
cana-280	216	20	with	with	ADP
cana-280	216	21	equivalent	equivalent	ADJ
cana-280	216	22	minimum	minimum	ADJ
cana-280	216	23	length	length	NOUN
cana-280	216	24	scale	scale	NOUN
cana-280	216	25	constraints	constraint	NOUN
cana-280	216	26	.	.	PUNCT
cana-280	217	1	structural	structural	ADJ
cana-280	217	2	and	and	CCONJ
cana-280	217	3	multidisciplinary	multidisciplinary	ADJ
cana-280	217	4	optimization	optimization	NOUN
cana-280	217	5	,	,	PUNCT
cana-280	217	6	59(5	59(5	NUM
cana-280	217	7	)	)	PUNCT
cana-280	217	8	,	,	PUNCT
cana-280	217	9	1775	1775	NUM
cana-280	217	10	-	-	SYM
cana-280	217	11	1788	1788	NUM
cana-280	217	12	.	.	PUNCT
cana-280	218	1	[	[	X
cana-280	218	2	17	17	NUM
cana-280	218	3	]	]	X
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cana-280	218	5	,	,	PUNCT
cana-280	218	6	y.	y.	PROPN
cana-280	218	7	,	,	PUNCT
cana-280	218	8	suzuki	suzuki	PROPN
cana-280	218	9	,	,	PUNCT
cana-280	218	10	y.	y.	PROPN
cana-280	218	11	,	,	PUNCT
cana-280	218	12	&	&	CCONJ
cana-280	218	13	todoroki	todoroki	PROPN
cana-280	218	14	,	,	PUNCT
cana-280	218	15	a.	a.	NOUN
cana-280	218	16	(	(	PUNCT
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cana-280	218	18	)	)	PUNCT
cana-280	218	19	.	.	PUNCT
cana-280	219	1	convolutional	convolutional	ADJ
cana-280	219	2	neural	neural	ADJ
cana-280	219	3	network	network	NOUN
cana-280	219	4	-	-	PUNCT
cana-280	219	5	based	base	VERB
cana-280	219	6	topology	topology	NOUN
cana-280	219	7	optimization	optimization	NOUN
cana-280	219	8	(	(	PUNCT
cana-280	219	9	cnn	cnn	PROPN
cana-280	219	10	-	-	PUNCT
cana-280	219	11	to	to	ADP
cana-280	219	12	)	)	PUNCT
cana-280	219	13	by	by	ADP
cana-280	219	14	estimating	estimate	VERB
cana-280	219	15	sensitivity	sensitivity	NOUN
cana-280	219	16	of	of	ADP
cana-280	219	17	compliance	compliance	NOUN
cana-280	219	18	from	from	ADP
cana-280	219	19	material	material	ADJ
cana-280	219	20	distribution	distribution	NOUN
cana-280	219	21	.	.	PUNCT
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cana-280	221	1	[	[	X
cana-280	221	2	18	18	NUM
cana-280	221	3	]	]	X
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cana-280	221	5	,	,	PUNCT
cana-280	221	6	n.	n.	NOUN
cana-280	221	7	,	,	PUNCT
cana-280	221	8	sriraman	sriraman	PROPN
cana-280	221	9	,	,	PUNCT
cana-280	221	10	s.	s.	PROPN
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cana-280	221	17	,	,	PUNCT
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cana-280	229	9	)	)	PUNCT
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cana-280	229	14	.	.	PUNCT
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