id	sid	tid	token	lemma	pos
fis-3231	1	1	microsoft	microsoft	PROPN
fis-3231	1	2	word	word	PROPN
fis-3231	1	3	numero_58_art_19_3231.docx	numero_58_art_19_3231.docx	VERB
fis-3231	1	4	m.	m.	PROPN
fis-3231	1	5	utzeri	utzeri	PROPN
fis-3231	1	6	et	et	PROPN
fis-3231	1	7	alii	alii	PROPN
fis-3231	1	8	,	,	PUNCT
fis-3231	1	9	frattura	frattura	PROPN
fis-3231	1	10	ed	ed	PROPN
fis-3231	1	11	integrità	integrità	PROPN
fis-3231	1	12	strutturale	strutturale	PROPN
fis-3231	1	13	,	,	PUNCT
fis-3231	1	14	58	58	NUM
fis-3231	1	15	(	(	PUNCT
fis-3231	1	16	2021	2021	NUM
fis-3231	1	17	)	)	PUNCT
fis-3231	1	18	254	254	NUM
fis-3231	1	19	-	-	SYM
fis-3231	1	20	271	271	NUM
fis-3231	1	21	;	;	PUNCT
fis-3231	1	22	doi	doi	NOUN
fis-3231	1	23	:	:	PUNCT
fis-3231	1	24	10.3221	10.3221	NUM
fis-3231	1	25	/	/	SYM
fis-3231	1	26	igf	igf	PROPN
fis-3231	1	27	-	-	PUNCT
fis-3231	1	28	esis.58.19	esis.58.19	PROPN
fis-3231	1	29	254	254	NUM
fis-3231	1	30	focussed	focusse	VERB
fis-3231	1	31	on	on	ADP
fis-3231	1	32	steels	steel	NOUN
fis-3231	1	33	and	and	CCONJ
fis-3231	1	34	composites	composite	NOUN
fis-3231	1	35	for	for	ADP
fis-3231	1	36	engineering	engineering	NOUN
fis-3231	1	37	structures	structure	NOUN
fis-3231	1	38	modelling	modelling	NOUN
fis-3231	1	39	of	of	ADP
fis-3231	1	40	low	low	ADJ
fis-3231	1	41	-	-	PUNCT
fis-3231	1	42	velocity	velocity	NOUN
fis-3231	1	43	impacts	impact	NOUN
fis-3231	1	44	on	on	ADP
fis-3231	1	45	composite	composite	ADJ
fis-3231	1	46	beams	beam	NOUN
fis-3231	1	47	in	in	ADP
fis-3231	1	48	large	large	ADJ
fis-3231	1	49	displacement	displacement	ADJ
fis-3231	1	50	m.	m.	NOUN
fis-3231	1	51	utzeri	utzeri	PROPN
fis-3231	1	52	*	*	PROPN
fis-3231	1	53	,	,	PUNCT
fis-3231	1	54	m.	m.	NOUN
fis-3231	1	55	sasso	sasso	PROPN
fis-3231	1	56	università	università	PROPN
fis-3231	1	57	politecnica	politecnica	PROPN
fis-3231	1	58	delle	delle	PROPN
fis-3231	1	59	marche	marche	PROPN
fis-3231	1	60	department	department	PROPN
fis-3231	1	61	of	of	ADP
fis-3231	1	62	industrial	industrial	ADJ
fis-3231	1	63	engineering	engineering	NOUN
fis-3231	1	64	and	and	CCONJ
fis-3231	1	65	mathematics	mathematic	NOUN
fis-3231	1	66	,	,	PUNCT
fis-3231	1	67	italy	italy	PROPN
fis-3231	1	68	m.utzeri@pm.univpm.it	m.utzeri@pm.univpm.it	PROPN
fis-3231	1	69	,	,	PUNCT
fis-3231	1	70	m.sasso@univpm.it	m.sasso@univpm.it	PRON
fis-3231	1	71	g.	g.	PROPN
fis-3231	1	72	chiappini	chiappini	PROPN
fis-3231	1	73	università	università	PROPN
fis-3231	1	74	degli	degli	PROPN
fis-3231	1	75	studi	studi	PROPN
fis-3231	1	76	ecampus	ecampus	PROPN
fis-3231	1	77	,	,	PUNCT
fis-3231	1	78	italy	italy	PROPN
fis-3231	1	79	gianluca.chiappini@uniecampus.it	gianluca.chiappini@uniecampus.it	PROPN
fis-3231	1	80	s.	s.	PROPN
fis-3231	1	81	lenci	lenci	PROPN
fis-3231	1	82	università	università	PROPN
fis-3231	1	83	politecnica	politecnica	PROPN
fis-3231	1	84	delle	delle	PROPN
fis-3231	1	85	marche	marche	PROPN
fis-3231	1	86	department	department	PROPN
fis-3231	1	87	of	of	ADP
fis-3231	1	88	civil	civil	ADJ
fis-3231	1	89	and	and	CCONJ
fis-3231	1	90	building	building	NOUN
fis-3231	1	91	engineering	engineering	NOUN
fis-3231	1	92	,	,	PUNCT
fis-3231	1	93	and	and	CCONJ
fis-3231	1	94	architecture	architecture	NOUN
fis-3231	1	95	,	,	PUNCT
fis-3231	1	96	italy	italy	PROPN
fis-3231	1	97	s.lenci@univpm.it	s.lenci@univpm.it	PUNCT
fis-3231	1	98	abstract	abstract	PROPN
fis-3231	1	99	.	.	PUNCT
fis-3231	2	1	the	the	DET
fis-3231	2	2	paper	paper	NOUN
fis-3231	2	3	provides	provide	VERB
fis-3231	2	4	an	an	DET
fis-3231	2	5	evaluation	evaluation	NOUN
fis-3231	2	6	of	of	ADP
fis-3231	2	7	the	the	DET
fis-3231	2	8	nonlinear	nonlinear	ADJ
fis-3231	2	9	dynamic	dynamic	ADJ
fis-3231	2	10	response	response	NOUN
fis-3231	2	11	of	of	ADP
fis-3231	2	12	a	a	DET
fis-3231	2	13	cantilever	cantilever	NOUN
fis-3231	2	14	beam	beam	NOUN
fis-3231	2	15	made	make	VERB
fis-3231	2	16	of	of	ADP
fis-3231	2	17	composite	composite	ADJ
fis-3231	2	18	material	material	NOUN
fis-3231	2	19	subjected	subject	VERB
fis-3231	2	20	to	to	ADP
fis-3231	2	21	low	low	ADJ
fis-3231	2	22	-	-	PUNCT
fis-3231	2	23	velocity	velocity	NOUN
fis-3231	2	24	impacts	impact	NOUN
fis-3231	2	25	.	.	PUNCT
fis-3231	3	1	the	the	DET
fis-3231	3	2	structure	structure	NOUN
fis-3231	3	3	is	be	AUX
fis-3231	3	4	assumed	assume	VERB
fis-3231	3	5	to	to	PART
fis-3231	3	6	respond	respond	VERB
fis-3231	3	7	in	in	ADP
fis-3231	3	8	a	a	DET
fis-3231	3	9	quasi	quasi	ADJ
fis-3231	3	10	-	-	ADJ
fis-3231	3	11	static	static	ADJ
fis-3231	3	12	manner	manner	NOUN
fis-3231	3	13	and	and	CCONJ
fis-3231	3	14	modelled	model	VERB
fis-3231	3	15	by	by	ADP
fis-3231	3	16	a	a	DET
fis-3231	3	17	continuous	continuous	ADJ
fis-3231	3	18	beam	beam	NOUN
fis-3231	3	19	in	in	ADP
fis-3231	3	20	large	large	ADJ
fis-3231	3	21	displacement	displacement	NOUN
fis-3231	3	22	with	with	ADP
fis-3231	3	23	a	a	DET
fis-3231	3	24	lumped	lump	VERB
fis-3231	3	25	mass	mass	NOUN
fis-3231	3	26	attached	attach	VERB
fis-3231	3	27	.	.	PUNCT
fis-3231	4	1	first	first	ADV
fis-3231	4	2	,	,	PUNCT
fis-3231	4	3	an	an	DET
fis-3231	4	4	analytical	analytical	ADJ
fis-3231	4	5	model	model	NOUN
fis-3231	4	6	was	be	AUX
fis-3231	4	7	developed	develop	VERB
fis-3231	4	8	to	to	PART
fis-3231	4	9	study	study	VERB
fis-3231	4	10	the	the	DET
fis-3231	4	11	free	free	ADJ
fis-3231	4	12	vibrations	vibration	NOUN
fis-3231	4	13	of	of	ADP
fis-3231	4	14	a	a	DET
fis-3231	4	15	beam	beam	NOUN
fis-3231	4	16	,	,	PUNCT
fis-3231	4	17	taking	take	VERB
fis-3231	4	18	into	into	ADP
fis-3231	4	19	account	account	NOUN
fis-3231	4	20	the	the	DET
fis-3231	4	21	nonlinearities	nonlinearitie	NOUN
fis-3231	4	22	due	due	ADP
fis-3231	4	23	to	to	ADP
fis-3231	4	24	large	large	ADJ
fis-3231	4	25	displacements	displacement	NOUN
fis-3231	4	26	and	and	CCONJ
fis-3231	4	27	inertia	inertia	NOUN
fis-3231	4	28	.	.	PUNCT
fis-3231	5	1	then	then	ADV
fis-3231	5	2	,	,	PUNCT
fis-3231	5	3	the	the	DET
fis-3231	5	4	analytical	analytical	ADJ
fis-3231	5	5	findings	finding	NOUN
fis-3231	5	6	were	be	AUX
fis-3231	5	7	compared	compare	VERB
fis-3231	5	8	with	with	ADP
fis-3231	5	9	experimental	experimental	ADJ
fis-3231	5	10	test	test	NOUN
fis-3231	5	11	data	datum	NOUN
fis-3231	5	12	.	.	PUNCT
fis-3231	6	1	the	the	DET
fis-3231	6	2	vibration	vibration	NOUN
fis-3231	6	3	of	of	ADP
fis-3231	6	4	a	a	DET
fis-3231	6	5	real	real	ADJ
fis-3231	6	6	composite	composite	ADJ
fis-3231	6	7	beam	beam	NOUN
fis-3231	6	8	has	have	AUX
fis-3231	6	9	been	be	AUX
fis-3231	6	10	acquired	acquire	VERB
fis-3231	6	11	through	through	ADP
fis-3231	6	12	high	high	ADJ
fis-3231	6	13	-	-	PUNCT
fis-3231	6	14	speed	speed	NOUN
fis-3231	6	15	imaging	imaging	NOUN
fis-3231	6	16	technique	technique	NOUN
fis-3231	6	17	.	.	PUNCT
fis-3231	7	1	the	the	DET
fis-3231	7	2	displacements	displacement	NOUN
fis-3231	7	3	of	of	ADP
fis-3231	7	4	the	the	DET
fis-3231	7	5	beam	beam	NOUN
fis-3231	7	6	were	be	AUX
fis-3231	7	7	extracted	extract	VERB
fis-3231	7	8	by	by	ADP
fis-3231	7	9	digital	digital	ADJ
fis-3231	7	10	image	image	NOUN
fis-3231	7	11	analysis	analysis	NOUN
fis-3231	7	12	;	;	PUNCT
fis-3231	7	13	then	then	ADV
fis-3231	7	14	,	,	PUNCT
fis-3231	7	15	the	the	DET
fis-3231	7	16	nonlinear	nonlinear	ADJ
fis-3231	7	17	parameters	parameter	NOUN
fis-3231	7	18	of	of	ADP
fis-3231	7	19	the	the	DET
fis-3231	7	20	analytical	analytical	ADJ
fis-3231	7	21	model	model	NOUN
fis-3231	7	22	were	be	AUX
fis-3231	7	23	determined	determine	VERB
fis-3231	7	24	by	by	ADP
fis-3231	7	25	the	the	DET
fis-3231	7	26	fitting	fitting	ADJ
fis-3231	7	27	time	time	NOUN
fis-3231	7	28	history	history	NOUN
fis-3231	7	29	technique	technique	NOUN
fis-3231	7	30	.	.	PUNCT
fis-3231	8	1	the	the	DET
fis-3231	8	2	results	result	NOUN
fis-3231	8	3	obtained	obtain	VERB
fis-3231	8	4	by	by	ADP
fis-3231	8	5	the	the	DET
fis-3231	8	6	analytical	analytical	ADJ
fis-3231	8	7	model	model	NOUN
fis-3231	8	8	and	and	CCONJ
fis-3231	8	9	the	the	DET
fis-3231	8	10	experimental	experimental	ADJ
fis-3231	8	11	test	test	NOUN
fis-3231	8	12	are	be	AUX
fis-3231	8	13	compared	compare	VERB
fis-3231	8	14	with	with	ADP
fis-3231	8	15	numerical	numerical	ADJ
fis-3231	8	16	analysis	analysis	NOUN
fis-3231	8	17	.	.	PUNCT
fis-3231	9	1	the	the	DET
fis-3231	9	2	validated	validate	VERB
fis-3231	9	3	analytical	analytical	ADJ
fis-3231	9	4	model	model	NOUN
fis-3231	9	5	was	be	AUX
fis-3231	9	6	adapted	adapt	VERB
fis-3231	9	7	to	to	PART
fis-3231	9	8	study	study	VERB
fis-3231	9	9	a	a	DET
fis-3231	9	10	low	low	ADJ
fis-3231	9	11	-	-	PUNCT
fis-3231	9	12	velocity	velocity	NOUN
fis-3231	9	13	impact	impact	NOUN
fis-3231	9	14	;	;	PUNCT
fis-3231	9	15	the	the	DET
fis-3231	9	16	lumped	lump	VERB
fis-3231	9	17	mass	mass	NOUN
fis-3231	9	18	was	be	AUX
fis-3231	9	19	associated	associate	VERB
fis-3231	9	20	with	with	ADP
fis-3231	9	21	a	a	DET
fis-3231	9	22	rigid	rigid	ADJ
fis-3231	9	23	projectile	projectile	NOUN
fis-3231	9	24	,	,	PUNCT
fis-3231	9	25	whose	whose	DET
fis-3231	9	26	initial	initial	ADJ
fis-3231	9	27	speed	speed	NOUN
fis-3231	9	28	represents	represent	VERB
fis-3231	9	29	the	the	DET
fis-3231	9	30	impact	impact	NOUN
fis-3231	9	31	velocity	velocity	NOUN
fis-3231	9	32	.	.	PUNCT
fis-3231	10	1	keywords	keyword	NOUN
fis-3231	10	2	.	.	PUNCT
fis-3231	11	1	impact	impact	NOUN
fis-3231	11	2	dynamics	dynamic	NOUN
fis-3231	11	3	;	;	PUNCT
fis-3231	11	4	composite	composite	ADJ
fis-3231	11	5	beam	beam	NOUN
fis-3231	11	6	;	;	PUNCT
fis-3231	11	7	nonlinear	nonlinear	ADJ
fis-3231	11	8	frequencies	frequency	NOUN
fis-3231	11	9	;	;	PUNCT
fis-3231	11	10	nonlinear	nonlinear	ADJ
fis-3231	11	11	dynamics	dynamic	NOUN
fis-3231	11	12	.	.	PUNCT
fis-3231	12	1	citation	citation	NOUN
fis-3231	12	2	:	:	PUNCT
fis-3231	13	1	utzeri	utzeri	PROPN
fis-3231	13	2	,	,	PUNCT
fis-3231	13	3	m	m	PROPN
fis-3231	13	4	,	,	PUNCT
fis-3231	13	5	sasso	sasso	NOUN
fis-3231	13	6	,	,	PUNCT
fis-3231	13	7	m.	m.	NOUN
fis-3231	13	8	,	,	PUNCT
fis-3231	13	9	chiappini	chiappini	NOUN
fis-3231	13	10	,	,	PUNCT
fis-3231	13	11	g.	g.	NOUN
fis-3231	13	12	,	,	PUNCT
fis-3231	13	13	lenci	lenci	PROPN
fis-3231	13	14	,	,	PUNCT
fis-3231	13	15	s	s	PROPN
fis-3231	13	16	..	..	PUNCT
fis-3231	13	17	,	,	PUNCT
fis-3231	13	18	modelling	modelling	NOUN
fis-3231	13	19	of	of	ADP
fis-3231	13	20	low	low	ADJ
fis-3231	13	21	-	-	PUNCT
fis-3231	13	22	velocity	velocity	NOUN
fis-3231	13	23	impacts	impact	NOUN
fis-3231	13	24	on	on	ADP
fis-3231	13	25	composite	composite	ADJ
fis-3231	13	26	beams	beam	NOUN
fis-3231	13	27	in	in	ADP
fis-3231	13	28	large	large	ADJ
fis-3231	13	29	displacement	displacement	NOUN
fis-3231	13	30	,	,	PUNCT
fis-3231	13	31	frattura	frattura	PROPN
fis-3231	13	32	ed	ed	PROPN
fis-3231	13	33	integrità	integrità	PROPN
fis-3231	13	34	strutturale	strutturale	PROPN
fis-3231	13	35	,	,	PUNCT
fis-3231	13	36	58	58	NUM
fis-3231	13	37	(	(	PUNCT
fis-3231	13	38	2021	2021	NUM
fis-3231	13	39	)	)	PUNCT
fis-3231	13	40	254	254	NUM
fis-3231	13	41	-	-	SYM
fis-3231	13	42	271	271	NUM
fis-3231	13	43	.	.	PUNCT
fis-3231	13	44	received	receive	VERB
fis-3231	13	45	:	:	PUNCT
fis-3231	13	46	18.08.2021	18.08.2021	NUM
fis-3231	13	47	accepted	accept	VERB
fis-3231	13	48	:	:	PUNCT
fis-3231	13	49	01.09.2021	01.09.2021	NOUN
fis-3231	13	50	published	publish	VERB
fis-3231	13	51	:	:	PUNCT
fis-3231	13	52	01.10.2021	01.10.2021	NUM
fis-3231	14	1	copyright	copyright	NOUN
fis-3231	14	2	:	:	PUNCT
fis-3231	14	3	©	©	PROPN
fis-3231	14	4	2021	2021	NUM
fis-3231	14	5	this	this	PRON
fis-3231	14	6	is	be	AUX
fis-3231	14	7	an	an	DET
fis-3231	14	8	open	open	ADJ
fis-3231	14	9	access	access	NOUN
fis-3231	14	10	article	article	NOUN
fis-3231	14	11	under	under	ADP
fis-3231	14	12	the	the	DET
fis-3231	14	13	terms	term	NOUN
fis-3231	14	14	of	of	ADP
fis-3231	14	15	the	the	DET
fis-3231	14	16	cc	cc	NOUN
fis-3231	14	17	-	-	PUNCT
fis-3231	14	18	by	by	ADP
fis-3231	14	19	4.0	4.0	NUM
fis-3231	14	20	,	,	PUNCT
fis-3231	14	21	which	which	PRON
fis-3231	14	22	permits	permit	VERB
fis-3231	14	23	unrestricted	unrestricted	ADJ
fis-3231	14	24	use	use	NOUN
fis-3231	14	25	,	,	PUNCT
fis-3231	14	26	distribution	distribution	NOUN
fis-3231	14	27	,	,	PUNCT
fis-3231	14	28	and	and	CCONJ
fis-3231	14	29	reproduction	reproduction	NOUN
fis-3231	14	30	in	in	ADP
fis-3231	14	31	any	any	DET
fis-3231	14	32	medium	medium	NOUN
fis-3231	14	33	,	,	PUNCT
fis-3231	14	34	provided	provide	VERB
fis-3231	14	35	the	the	DET
fis-3231	14	36	original	original	ADJ
fis-3231	14	37	author	author	NOUN
fis-3231	14	38	and	and	CCONJ
fis-3231	14	39	source	source	NOUN
fis-3231	14	40	are	be	AUX
fis-3231	14	41	credited	credit	VERB
fis-3231	14	42	.	.	PUNCT
fis-3231	15	1	introduction	introduction	NOUN
fis-3231	15	2	n	n	ADP
fis-3231	15	3	the	the	DET
fis-3231	15	4	last	last	ADJ
fis-3231	15	5	few	few	ADJ
fis-3231	15	6	years	year	NOUN
fis-3231	15	7	,	,	PUNCT
fis-3231	15	8	composite	composite	ADJ
fis-3231	15	9	materials	material	NOUN
fis-3231	15	10	(	(	PUNCT
fis-3231	15	11	e.g.	e.g.	ADV
fis-3231	15	12	carbon	carbon	NOUN
fis-3231	15	13	fiber	fiber	NOUN
fis-3231	15	14	reinforced	reinforce	VERB
fis-3231	15	15	polymer	polymer	NOUN
fis-3231	15	16	,	,	PUNCT
fis-3231	15	17	glass	glass	NOUN
fis-3231	15	18	fiber	fiber	NOUN
fis-3231	15	19	reinforced	reinforce	VERB
fis-3231	15	20	polymer	polymer	NOUN
fis-3231	15	21	)	)	PUNCT
fis-3231	15	22	are	be	AUX
fis-3231	15	23	used	use	VERB
fis-3231	15	24	extensively	extensively	ADV
fis-3231	15	25	in	in	ADP
fis-3231	15	26	widely	widely	ADV
fis-3231	15	27	impact	impact	NOUN
fis-3231	15	28	engineering	engineering	NOUN
fis-3231	15	29	applications	application	NOUN
fis-3231	15	30	.	.	PUNCT
fis-3231	16	1	the	the	DET
fis-3231	16	2	mains	main	NOUN
fis-3231	16	3	composite	composite	ADJ
fis-3231	16	4	materials	material	NOUN
fis-3231	16	5	peculiarities	peculiarity	NOUN
fis-3231	16	6	are	be	AUX
fis-3231	16	7	the	the	DET
fis-3231	16	8	high	high	ADJ
fis-3231	16	9	specific	specific	ADJ
fis-3231	16	10	strength	strength	NOUN
fis-3231	16	11	and	and	CCONJ
fis-3231	16	12	flexibility	flexibility	NOUN
fis-3231	16	13	.	.	PUNCT
fis-3231	17	1	therefore	therefore	ADV
fis-3231	17	2	,	,	PUNCT
fis-3231	17	3	a	a	DET
fis-3231	17	4	composite	composite	ADJ
fis-3231	17	5	structure	structure	NOUN
fis-3231	17	6	can	can	AUX
fis-3231	17	7	undergo	undergo	VERB
fis-3231	17	8	large	large	ADJ
fis-3231	17	9	deflection	deflection	NOUN
fis-3231	17	10	without	without	ADP
fis-3231	17	11	breaks	break	NOUN
fis-3231	17	12	when	when	SCONJ
fis-3231	17	13	a	a	DET
fis-3231	17	14	foreign	foreign	ADJ
fis-3231	17	15	object	object	NOUN
fis-3231	17	16	hits	hit	VERB
fis-3231	17	17	it	it	PRON
fis-3231	17	18	.	.	PUNCT
fis-3231	18	1	the	the	DET
fis-3231	18	2	theory	theory	NOUN
fis-3231	18	3	behind	behind	ADP
fis-3231	18	4	the	the	DET
fis-3231	18	5	low	low	ADJ
fis-3231	18	6	-	-	PUNCT
fis-3231	18	7	velocity	velocity	NOUN
fis-3231	18	8	impacts	impact	NOUN
fis-3231	18	9	has	have	AUX
fis-3231	18	10	been	be	AUX
fis-3231	18	11	hugely	hugely	ADV
fis-3231	18	12	discussed	discuss	VERB
fis-3231	18	13	by	by	ADP
fis-3231	18	14	abrate	abrate	ADJ
fis-3231	18	15	with	with	ADP
fis-3231	18	16	several	several	ADJ
fis-3231	18	17	works	work	NOUN
fis-3231	18	18	i	i	PRON
fis-3231	18	19	https://youtu.be/nk2pw5hy7-4	https://youtu.be/nk2pw5hy7-4	PROPN
fis-3231	18	20	m.	m.	NOUN
fis-3231	18	21	utzeri	utzeri	PROPN
fis-3231	18	22	et	et	PROPN
fis-3231	18	23	alii	alii	PROPN
fis-3231	18	24	,	,	PUNCT
fis-3231	18	25	frattura	frattura	PROPN
fis-3231	18	26	ed	ed	PROPN
fis-3231	18	27	integrità	integrità	PROPN
fis-3231	18	28	strutturale	strutturale	PROPN
fis-3231	18	29	,	,	PUNCT
fis-3231	18	30	58	58	NUM
fis-3231	18	31	(	(	PUNCT
fis-3231	18	32	2021	2021	NUM
fis-3231	18	33	)	)	PUNCT
fis-3231	18	34	254	254	NUM
fis-3231	18	35	-	-	SYM
fis-3231	18	36	271	271	NUM
fis-3231	18	37	;	;	PUNCT
fis-3231	18	38	doi	doi	NOUN
fis-3231	18	39	:	:	PUNCT
fis-3231	18	40	10.3221	10.3221	NUM
fis-3231	18	41	/	/	SYM
fis-3231	18	42	igf	igf	PROPN
fis-3231	18	43	-	-	PUNCT
fis-3231	18	44	esis.58.19	esis.58.19	NOUN
fis-3231	18	45	255	255	NUM
fis-3231	18	46	on	on	ADP
fis-3231	18	47	this	this	DET
fis-3231	18	48	topic	topic	NOUN
fis-3231	18	49	[	[	X
fis-3231	18	50	1	1	NUM
fis-3231	18	51	,	,	PUNCT
fis-3231	18	52	2	2	NUM
fis-3231	18	53	]	]	PUNCT
fis-3231	18	54	.	.	PUNCT
fis-3231	19	1	the	the	DET
fis-3231	19	2	aim	aim	NOUN
fis-3231	19	3	of	of	ADP
fis-3231	19	4	his	his	PRON
fis-3231	19	5	work	work	NOUN
fis-3231	19	6	is	be	AUX
fis-3231	19	7	to	to	PART
fis-3231	19	8	extend	extend	VERB
fis-3231	19	9	the	the	DET
fis-3231	19	10	known	know	VERB
fis-3231	19	11	model	model	NOUN
fis-3231	19	12	to	to	PART
fis-3231	19	13	predict	predict	VERB
fis-3231	19	14	the	the	DET
fis-3231	19	15	contact	contact	NOUN
fis-3231	19	16	force	force	NOUN
fis-3231	19	17	history	history	NOUN
fis-3231	19	18	and	and	CCONJ
fis-3231	19	19	the	the	DET
fis-3231	19	20	overall	overall	ADJ
fis-3231	19	21	response	response	NOUN
fis-3231	19	22	of	of	ADP
fis-3231	19	23	the	the	DET
fis-3231	19	24	structure	structure	NOUN
fis-3231	19	25	in	in	ADP
fis-3231	19	26	large	large	ADJ
fis-3231	19	27	displacements	displacement	NOUN
fis-3231	19	28	.	.	PUNCT
fis-3231	20	1	the	the	DET
fis-3231	20	2	relevant	relevant	ADJ
fis-3231	20	3	models	model	NOUN
fis-3231	20	4	used	use	VERB
fis-3231	20	5	to	to	PART
fis-3231	20	6	study	study	VERB
fis-3231	20	7	the	the	DET
fis-3231	20	8	low	low	ADJ
fis-3231	20	9	-	-	PUNCT
fis-3231	20	10	velocity	velocity	NOUN
fis-3231	20	11	impact	impact	NOUN
fis-3231	20	12	are	be	AUX
fis-3231	20	13	spring	spring	NOUN
fis-3231	20	14	-	-	PUNCT
fis-3231	20	15	mass	mass	NOUN
fis-3231	20	16	and	and	CCONJ
fis-3231	20	17	energy	energy	NOUN
fis-3231	20	18	balance	balance	NOUN
fis-3231	20	19	models	model	NOUN
fis-3231	20	20	[	[	X
fis-3231	20	21	3	3	NUM
fis-3231	20	22	]	]	PUNCT
fis-3231	20	23	.	.	PUNCT
fis-3231	21	1	in	in	ADP
fis-3231	21	2	this	this	DET
fis-3231	21	3	study	study	NOUN
fis-3231	21	4	the	the	DET
fis-3231	21	5	spring	spring	NOUN
fis-3231	21	6	-	-	PUNCT
fis-3231	21	7	mass	mass	NOUN
fis-3231	21	8	approach	approach	NOUN
fis-3231	21	9	was	be	AUX
fis-3231	21	10	used	use	VERB
fis-3231	21	11	to	to	PART
fis-3231	21	12	describe	describe	VERB
fis-3231	21	13	the	the	DET
fis-3231	21	14	overall	overall	ADJ
fis-3231	21	15	response	response	NOUN
fis-3231	21	16	of	of	ADP
fis-3231	21	17	a	a	DET
fis-3231	21	18	slender	slender	ADJ
fis-3231	21	19	cantilever	cantilever	NOUN
fis-3231	21	20	beam	beam	NOUN
fis-3231	21	21	which	which	PRON
fis-3231	21	22	undergoes	undergo	VERB
fis-3231	21	23	the	the	DET
fis-3231	21	24	impact	impact	NOUN
fis-3231	21	25	of	of	ADP
fis-3231	21	26	a	a	DET
fis-3231	21	27	projectile	projectile	NOUN
fis-3231	21	28	.	.	PUNCT
fis-3231	22	1	starting	start	VERB
fis-3231	22	2	from	from	ADP
fis-3231	22	3	the	the	DET
fis-3231	22	4	abrate	abrate	ADJ
fis-3231	22	5	theory	theory	NOUN
fis-3231	22	6	,	,	PUNCT
fis-3231	22	7	the	the	DET
fis-3231	22	8	spring	spring	NOUN
fis-3231	22	9	associated	associate	VERB
fis-3231	22	10	with	with	ADP
fis-3231	22	11	the	the	DET
fis-3231	22	12	structure	structure	NOUN
fis-3231	22	13	is	be	AUX
fis-3231	22	14	analytically	analytically	ADV
fis-3231	22	15	modelled	model	VERB
fis-3231	22	16	as	as	ADP
fis-3231	22	17	a	a	DET
fis-3231	22	18	continuous	continuous	ADJ
fis-3231	22	19	euler	euler	NOUN
fis-3231	22	20	-	-	PUNCT
fis-3231	22	21	bernoulli	bernoulli	NOUN
fis-3231	22	22	beam	beam	NOUN
fis-3231	22	23	.	.	PUNCT
fis-3231	23	1	the	the	DET
fis-3231	23	2	indentation	indentation	NOUN
fis-3231	23	3	phenomenon	phenomenon	NOUN
fis-3231	23	4	was	be	AUX
fis-3231	23	5	neglected	neglect	VERB
fis-3231	23	6	because	because	SCONJ
fis-3231	23	7	the	the	DET
fis-3231	23	8	overall	overall	ADJ
fis-3231	23	9	deflection	deflection	NOUN
fis-3231	23	10	of	of	ADP
fis-3231	23	11	the	the	DET
fis-3231	23	12	beam	beam	NOUN
fis-3231	23	13	is	be	AUX
fis-3231	23	14	much	much	ADV
fis-3231	23	15	larger	large	ADJ
fis-3231	23	16	than	than	ADP
fis-3231	23	17	local	local	ADJ
fis-3231	23	18	.	.	PUNCT
fis-3231	24	1	in	in	ADP
fis-3231	24	2	this	this	DET
fis-3231	24	3	way	way	NOUN
fis-3231	24	4	,	,	PUNCT
fis-3231	24	5	the	the	DET
fis-3231	24	6	mass	mass	NOUN
fis-3231	24	7	of	of	ADP
fis-3231	24	8	projectile	projectile	NOUN
fis-3231	24	9	can	can	AUX
fis-3231	24	10	be	be	AUX
fis-3231	24	11	added	add	VERB
fis-3231	24	12	to	to	ADP
fis-3231	24	13	the	the	DET
fis-3231	24	14	continuous	continuous	ADJ
fis-3231	24	15	cantilever	cantilever	NOUN
fis-3231	24	16	beam	beam	NOUN
fis-3231	24	17	.	.	PUNCT
fis-3231	25	1	however	however	ADV
fis-3231	25	2	,	,	PUNCT
fis-3231	25	3	the	the	DET
fis-3231	25	4	slender	slender	ADJ
fis-3231	25	5	beam	beam	NOUN
fis-3231	25	6	reaches	reach	VERB
fis-3231	25	7	large	large	ADJ
fis-3231	25	8	deflection	deflection	NOUN
fis-3231	25	9	to	to	PART
fis-3231	25	10	absorb	absorb	VERB
fis-3231	25	11	the	the	DET
fis-3231	25	12	projectile	projectile	NOUN
fis-3231	25	13	energy	energy	NOUN
fis-3231	25	14	during	during	ADP
fis-3231	25	15	the	the	DET
fis-3231	25	16	impact	impact	NOUN
fis-3231	25	17	so	so	SCONJ
fis-3231	25	18	only	only	ADV
fis-3231	25	19	the	the	DET
fis-3231	25	20	nonlinear	nonlinear	ADJ
fis-3231	25	21	vibration	vibration	NOUN
fis-3231	25	22	theory	theory	NOUN
fis-3231	25	23	allows	allow	VERB
fis-3231	25	24	establishing	establish	VERB
fis-3231	25	25	the	the	DET
fis-3231	25	26	correct	correct	ADJ
fis-3231	25	27	dynamical	dynamical	ADJ
fis-3231	25	28	behaviour	behaviour	NOUN
fis-3231	25	29	.	.	PUNCT
fis-3231	26	1	many	many	ADJ
fis-3231	26	2	theoretical	theoretical	ADJ
fis-3231	26	3	and	and	CCONJ
fis-3231	26	4	experimental	experimental	ADJ
fis-3231	26	5	investigations	investigation	NOUN
fis-3231	26	6	of	of	ADP
fis-3231	26	7	nonlinear	nonlinear	ADJ
fis-3231	26	8	vibrations	vibration	NOUN
fis-3231	26	9	of	of	ADP
fis-3231	26	10	beams	beam	NOUN
fis-3231	26	11	have	have	AUX
fis-3231	26	12	appeared	appear	VERB
fis-3231	26	13	over	over	ADP
fis-3231	26	14	the	the	DET
fis-3231	26	15	years	year	NOUN
fis-3231	26	16	[	[	X
fis-3231	26	17	4	4	NUM
fis-3231	26	18	,	,	PUNCT
fis-3231	26	19	5	5	NUM
fis-3231	26	20	,	,	PUNCT
fis-3231	26	21	6	6	NUM
fis-3231	26	22	,	,	PUNCT
fis-3231	26	23	7	7	NUM
fis-3231	26	24	]	]	PUNCT
fis-3231	26	25	.	.	PUNCT
fis-3231	27	1	in	in	ADP
fis-3231	27	2	general	general	ADJ
fis-3231	27	3	,	,	PUNCT
fis-3231	27	4	the	the	DET
fis-3231	27	5	nonlinearity	nonlinearity	NOUN
fis-3231	27	6	may	may	AUX
fis-3231	27	7	be	be	AUX
fis-3231	27	8	attributed	attribute	VERB
fis-3231	27	9	to	to	ADP
fis-3231	27	10	geometry	geometry	NOUN
fis-3231	27	11	(	(	PUNCT
fis-3231	27	12	stiffness	stiffness	NOUN
fis-3231	27	13	and	and	CCONJ
fis-3231	27	14	inertia	inertia	NOUN
fis-3231	27	15	)	)	PUNCT
fis-3231	27	16	,	,	PUNCT
fis-3231	27	17	and	and	CCONJ
fis-3231	27	18	material	material	NOUN
fis-3231	27	19	(	(	PUNCT
fis-3231	27	20	constitutive	constitutive	ADJ
fis-3231	27	21	equation	equation	NOUN
fis-3231	27	22	and	and	CCONJ
fis-3231	27	23	damping	damp	VERB
fis-3231	27	24	)	)	PUNCT
fis-3231	28	1	[	[	X
fis-3231	28	2	8	8	NUM
fis-3231	28	3	]	]	PUNCT
fis-3231	28	4	.	.	PUNCT
fis-3231	29	1	firstly	firstly	ADV
fis-3231	29	2	,	,	PUNCT
fis-3231	29	3	geometric	geometric	ADJ
fis-3231	29	4	nonlinearities	nonlinearitie	NOUN
fis-3231	29	5	are	be	AUX
fis-3231	29	6	caused	cause	VERB
fis-3231	29	7	by	by	ADP
fis-3231	29	8	large	large	ADJ
fis-3231	29	9	displacements	displacement	NOUN
fis-3231	29	10	and	and	CCONJ
fis-3231	29	11	slopes	slope	NOUN
fis-3231	29	12	.	.	PUNCT
fis-3231	30	1	consequently	consequently	ADV
fis-3231	30	2	,	,	PUNCT
fis-3231	30	3	it	it	PRON
fis-3231	30	4	is	be	AUX
fis-3231	30	5	not	not	PART
fis-3231	30	6	possible	possible	ADJ
fis-3231	30	7	to	to	PART
fis-3231	30	8	use	use	VERB
fis-3231	30	9	the	the	DET
fis-3231	30	10	small	small	ADJ
fis-3231	30	11	-	-	PUNCT
fis-3231	30	12	angle	angle	NOUN
fis-3231	30	13	assumption	assumption	NOUN
fis-3231	30	14	,	,	PUNCT
fis-3231	30	15	which	which	PRON
fis-3231	30	16	would	would	AUX
fis-3231	30	17	reduce	reduce	VERB
fis-3231	30	18	the	the	DET
fis-3231	30	19	nonlinear	nonlinear	ADJ
fis-3231	30	20	curvature	curvature	NOUN
fis-3231	30	21	to	to	ADP
fis-3231	30	22	the	the	DET
fis-3231	30	23	simple	simple	ADJ
fis-3231	30	24	linear	linear	ADJ
fis-3231	30	25	form	form	NOUN
fis-3231	30	26	[	[	X
fis-3231	30	27	9	9	NUM
fis-3231	30	28	,	,	PUNCT
fis-3231	30	29	10	10	NUM
fis-3231	30	30	,	,	PUNCT
fis-3231	30	31	11	11	NUM
fis-3231	30	32	]	]	PUNCT
fis-3231	30	33	.	.	PUNCT
fis-3231	31	1	for	for	ADP
fis-3231	31	2	a	a	DET
fis-3231	31	3	deeper	deep	ADJ
fis-3231	31	4	discussion	discussion	NOUN
fis-3231	31	5	on	on	ADP
fis-3231	31	6	the	the	DET
fis-3231	31	7	nonlinear	nonlinear	ADJ
fis-3231	31	8	curvature	curvature	NOUN
fis-3231	31	9	the	the	DET
fis-3231	31	10	reader	reader	NOUN
fis-3231	31	11	is	be	AUX
fis-3231	31	12	referred	refer	VERB
fis-3231	31	13	to	to	ADP
fis-3231	31	14	[	[	X
fis-3231	31	15	12	12	NUM
fis-3231	31	16	,	,	PUNCT
fis-3231	31	17	13	13	NUM
fis-3231	31	18	]	]	PUNCT
fis-3231	31	19	.	.	PUNCT
fis-3231	32	1	nonlinear	nonlinear	ADJ
fis-3231	32	2	inertia	inertia	NOUN
fis-3231	32	3	effects	effect	NOUN
fis-3231	32	4	may	may	AUX
fis-3231	32	5	be	be	AUX
fis-3231	32	6	caused	cause	VERB
fis-3231	32	7	by	by	ADP
fis-3231	32	8	the	the	DET
fis-3231	32	9	presence	presence	NOUN
fis-3231	32	10	of	of	ADP
fis-3231	32	11	concentrated	concentrated	ADJ
fis-3231	32	12	or	or	CCONJ
fis-3231	32	13	distributed	distribute	VERB
fis-3231	32	14	masses	masse	NOUN
fis-3231	32	15	.	.	PUNCT
fis-3231	33	1	actually	actually	ADV
fis-3231	33	2	,	,	PUNCT
fis-3231	33	3	for	for	ADP
fis-3231	33	4	transversal	transversal	ADJ
fis-3231	33	5	vibrations	vibration	NOUN
fis-3231	33	6	of	of	ADP
fis-3231	33	7	an	an	DET
fis-3231	33	8	initially	initially	ADV
fis-3231	33	9	straight	straight	ADJ
fis-3231	33	10	beam	beam	NOUN
fis-3231	33	11	there	there	PRON
fis-3231	33	12	are	be	VERB
fis-3231	33	13	transversal	transversal	ADJ
fis-3231	33	14	and	and	CCONJ
fis-3231	33	15	axial	axial	ADJ
fis-3231	33	16	(	(	PUNCT
fis-3231	33	17	linear	linear	ADJ
fis-3231	33	18	and	and	CCONJ
fis-3231	33	19	nonlinear	nonlinear	ADJ
fis-3231	33	20	)	)	PUNCT
fis-3231	33	21	inertial	inertial	ADJ
fis-3231	33	22	effects	effect	NOUN
fis-3231	33	23	;	;	PUNCT
fis-3231	33	24	while	while	SCONJ
fis-3231	33	25	the	the	DET
fis-3231	33	26	former	former	NOUN
fis-3231	33	27	can	can	AUX
fis-3231	33	28	never	never	ADV
fis-3231	33	29	be	be	AUX
fis-3231	33	30	neglected	neglect	VERB
fis-3231	33	31	,	,	PUNCT
fis-3231	33	32	in	in	ADP
fis-3231	33	33	certain	certain	ADJ
fis-3231	33	34	cases	case	NOUN
fis-3231	33	35	(	(	PUNCT
fis-3231	33	36	for	for	ADP
fis-3231	33	37	example	example	NOUN
fis-3231	33	38	for	for	ADP
fis-3231	33	39	axially	axially	ADV
fis-3231	33	40	immovable	immovable	ADJ
fis-3231	33	41	boundary	boundary	ADJ
fis-3231	33	42	conditions	condition	NOUN
fis-3231	33	43	)	)	PUNCT
fis-3231	33	44	,	,	PUNCT
fis-3231	33	45	the	the	DET
fis-3231	33	46	latter	latter	ADJ
fis-3231	33	47	are	be	AUX
fis-3231	33	48	negligible	negligible	ADJ
fis-3231	33	49	[	[	X
fis-3231	33	50	5	5	NUM
fis-3231	33	51	,	,	PUNCT
fis-3231	33	52	14	14	NUM
fis-3231	33	53	]	]	PUNCT
fis-3231	33	54	.	.	PUNCT
fis-3231	34	1	according	accord	VERB
fis-3231	34	2	to	to	ADP
fis-3231	34	3	hamdan	hamdan	PROPN
fis-3231	34	4	[	[	X
fis-3231	34	5	15	15	NUM
fis-3231	34	6	,	,	PUNCT
fis-3231	34	7	16	16	NUM
fis-3231	34	8	,	,	PUNCT
fis-3231	34	9	17	17	NUM
fis-3231	34	10	]	]	PUNCT
fis-3231	34	11	,	,	PUNCT
fis-3231	34	12	the	the	DET
fis-3231	34	13	nonlinear	nonlinear	ADJ
fis-3231	34	14	stiffness	stiffness	NOUN
fis-3231	34	15	induces	induce	VERB
fis-3231	34	16	nonlinear	nonlinear	ADJ
fis-3231	34	17	features	feature	NOUN
fis-3231	34	18	of	of	ADP
fis-3231	34	19	the	the	DET
fis-3231	34	20	hardening	hardening	NOUN
fis-3231	34	21	type	type	NOUN
fis-3231	34	22	,	,	PUNCT
fis-3231	34	23	i.e.	i.e.	X
fis-3231	34	24	,	,	PUNCT
fis-3231	34	25	the	the	DET
fis-3231	34	26	vibration	vibration	NOUN
fis-3231	34	27	frequencies	frequency	NOUN
fis-3231	34	28	increase	increase	VERB
fis-3231	34	29	by	by	ADP
fis-3231	34	30	increasing	increase	VERB
fis-3231	34	31	the	the	DET
fis-3231	34	32	amplitude	amplitude	NOUN
fis-3231	34	33	of	of	ADP
fis-3231	34	34	motion	motion	NOUN
fis-3231	34	35	;	;	PUNCT
fis-3231	34	36	on	on	ADP
fis-3231	34	37	the	the	DET
fis-3231	34	38	contrary	contrary	NOUN
fis-3231	34	39	,	,	PUNCT
fis-3231	34	40	the	the	DET
fis-3231	34	41	inertial	inertial	ADJ
fis-3231	34	42	nonlinearity	nonlinearity	NOUN
fis-3231	34	43	,	,	PUNCT
fis-3231	34	44	which	which	PRON
fis-3231	34	45	is	be	AUX
fis-3231	34	46	related	relate	VERB
fis-3231	34	47	to	to	ADP
fis-3231	34	48	the	the	DET
fis-3231	34	49	inextensibility	inextensibility	NOUN
fis-3231	34	50	condition	condition	NOUN
fis-3231	34	51	and	and	CCONJ
fis-3231	34	52	to	to	ADP
fis-3231	34	53	the	the	DET
fis-3231	34	54	lumped	lump	VERB
fis-3231	34	55	mass	mass	PROPN
fis-3231	34	56	,	,	PUNCT
fis-3231	34	57	determines	determine	VERB
fis-3231	34	58	a	a	DET
fis-3231	34	59	softening	soften	VERB
fis-3231	34	60	behaviour	behaviour	NOUN
fis-3231	34	61	of	of	ADP
fis-3231	34	62	the	the	DET
fis-3231	34	63	so	so	ADV
fis-3231	34	64	-	-	PUNCT
fis-3231	34	65	called	call	VERB
fis-3231	34	66	“	"	PUNCT
fis-3231	34	67	backbone	backbone	NOUN
fis-3231	34	68	curve	curve	NOUN
fis-3231	34	69	”	"	PUNCT
fis-3231	34	70	.	.	PUNCT
fis-3231	35	1	consequently	consequently	ADV
fis-3231	35	2	,	,	PUNCT
fis-3231	35	3	the	the	DET
fis-3231	35	4	nonlinear	nonlinear	ADJ
fis-3231	35	5	effects	effect	NOUN
fis-3231	35	6	which	which	PRON
fis-3231	35	7	modify	modify	VERB
fis-3231	35	8	the	the	DET
fis-3231	35	9	frequencies	frequency	NOUN
fis-3231	35	10	act	act	VERB
fis-3231	35	11	also	also	ADV
fis-3231	35	12	on	on	ADP
fis-3231	35	13	the	the	DET
fis-3231	35	14	time	time	NOUN
fis-3231	35	15	in	in	ADP
fis-3231	35	16	which	which	PRON
fis-3231	35	17	the	the	DET
fis-3231	35	18	impact	impact	NOUN
fis-3231	35	19	occurs	occur	VERB
fis-3231	35	20	.	.	PUNCT
fis-3231	36	1	therefore	therefore	ADV
fis-3231	36	2	,	,	PUNCT
fis-3231	36	3	the	the	DET
fis-3231	36	4	impact	impact	NOUN
fis-3231	36	5	time	time	NOUN
fis-3231	36	6	is	be	AUX
fis-3231	36	7	strictly	strictly	ADV
fis-3231	36	8	connected	connect	VERB
fis-3231	36	9	with	with	ADP
fis-3231	36	10	the	the	DET
fis-3231	36	11	amplitude	amplitude	NOUN
fis-3231	36	12	reached	reach	VERB
fis-3231	36	13	during	during	ADP
fis-3231	36	14	the	the	DET
fis-3231	36	15	impact	impact	NOUN
fis-3231	36	16	.	.	PUNCT
fis-3231	37	1	for	for	ADP
fis-3231	37	2	instance	instance	NOUN
fis-3231	37	3	,	,	PUNCT
fis-3231	37	4	a	a	DET
fis-3231	37	5	hardening	harden	VERB
fis-3231	37	6	behaviour	behaviour	NOUN
fis-3231	37	7	on	on	ADP
fis-3231	37	8	the	the	DET
fis-3231	37	9	nonlinear	nonlinear	ADJ
fis-3231	37	10	frequency	frequency	NOUN
fis-3231	37	11	clearly	clearly	ADV
fis-3231	37	12	reduces	reduce	VERB
fis-3231	37	13	the	the	DET
fis-3231	37	14	impact	impact	NOUN
fis-3231	37	15	time	time	NOUN
fis-3231	37	16	and	and	CCONJ
fis-3231	37	17	the	the	DET
fis-3231	37	18	maximum	maximum	ADJ
fis-3231	37	19	amplitude	amplitude	NOUN
fis-3231	37	20	reaches	reach	VERB
fis-3231	37	21	a	a	DET
fis-3231	37	22	lower	low	ADJ
fis-3231	37	23	amplitude	amplitude	NOUN
fis-3231	37	24	than	than	ADP
fis-3231	37	25	linear	linear	ADJ
fis-3231	37	26	form	form	NOUN
fis-3231	37	27	.	.	PUNCT
fis-3231	38	1	accordingly	accordingly	ADV
fis-3231	38	2	,	,	PUNCT
fis-3231	38	3	in	in	ADP
fis-3231	38	4	this	this	DET
fis-3231	38	5	paper	paper	NOUN
fis-3231	38	6	,	,	PUNCT
fis-3231	38	7	the	the	DET
fis-3231	38	8	effects	effect	NOUN
fis-3231	38	9	of	of	ADP
fis-3231	38	10	nonlinearity	nonlinearity	NOUN
fis-3231	38	11	in	in	ADP
fis-3231	38	12	a	a	DET
fis-3231	38	13	cantilever	cantilever	NOUN
fis-3231	38	14	beam	beam	NOUN
fis-3231	38	15	were	be	AUX
fis-3231	38	16	addressed	address	VERB
fis-3231	38	17	further	further	ADJ
fis-3231	38	18	elaborating	elaborating	NOUN
fis-3231	38	19	and	and	CCONJ
fis-3231	38	20	extending	extend	VERB
fis-3231	38	21	the	the	DET
fis-3231	38	22	analytical	analytical	ADJ
fis-3231	38	23	approach	approach	NOUN
fis-3231	38	24	of	of	ADP
fis-3231	38	25	the	the	DET
fis-3231	38	26	works	work	NOUN
fis-3231	38	27	[	[	X
fis-3231	38	28	16	16	NUM
fis-3231	38	29	,	,	PUNCT
fis-3231	38	30	15	15	NUM
fis-3231	38	31	,	,	PUNCT
fis-3231	38	32	18	18	NUM
fis-3231	38	33	]	]	PUNCT
fis-3231	38	34	.	.	PUNCT
fis-3231	39	1	analytical	analytical	ADJ
fis-3231	39	2	model	model	NOUN
fis-3231	39	3	takes	take	VERB
fis-3231	39	4	into	into	ADP
fis-3231	39	5	account	account	NOUN
fis-3231	39	6	the	the	DET
fis-3231	39	7	nonlinearity	nonlinearity	NOUN
fis-3231	39	8	derived	derive	VERB
fis-3231	39	9	by	by	ADP
fis-3231	39	10	large	large	ADJ
fis-3231	39	11	amplitude	amplitude	NOUN
fis-3231	39	12	vibration	vibration	NOUN
fis-3231	39	13	and	and	CCONJ
fis-3231	39	14	inertia	inertia	NOUN
fis-3231	39	15	.	.	PUNCT
fis-3231	40	1	starting	start	VERB
fis-3231	40	2	from	from	ADP
fis-3231	40	3	the	the	DET
fis-3231	40	4	energy	energy	NOUN
fis-3231	40	5	definition	definition	NOUN
fis-3231	40	6	,	,	PUNCT
fis-3231	40	7	the	the	DET
fis-3231	40	8	equation	equation	NOUN
fis-3231	40	9	of	of	ADP
fis-3231	40	10	motion	motion	NOUN
fis-3231	40	11	is	be	AUX
fis-3231	40	12	determined	determine	VERB
fis-3231	40	13	including	include	VERB
fis-3231	40	14	nonlinear	nonlinear	ADJ
fis-3231	40	15	terms	term	NOUN
fis-3231	40	16	associated	associate	VERB
fis-3231	40	17	to	to	ADP
fis-3231	40	18	geometrical	geometrical	ADJ
fis-3231	40	19	nonlinearity	nonlinearity	NOUN
fis-3231	40	20	up	up	ADP
fis-3231	40	21	to	to	ADP
fis-3231	40	22	the	the	DET
fis-3231	40	23	fifth	fifth	ADJ
fis-3231	40	24	order	order	NOUN
fis-3231	40	25	.	.	PUNCT
fis-3231	41	1	hence	hence	ADV
fis-3231	41	2	,	,	PUNCT
fis-3231	41	3	enforcing	enforce	VERB
fis-3231	41	4	stationarity	stationarity	NOUN
fis-3231	41	5	of	of	ADP
fis-3231	41	6	the	the	DET
fis-3231	41	7	lagrangian	lagrangian	NOUN
fis-3231	41	8	of	of	ADP
fis-3231	41	9	the	the	DET
fis-3231	41	10	system	system	NOUN
fis-3231	41	11	yields	yield	VERB
fis-3231	41	12	to	to	ADP
fis-3231	41	13	the	the	DET
fis-3231	41	14	unimodal	unimodal	ADJ
fis-3231	41	15	equation	equation	NOUN
fis-3231	41	16	,	,	PUNCT
fis-3231	41	17	which	which	PRON
fis-3231	41	18	can	can	AUX
fis-3231	41	19	be	be	AUX
fis-3231	41	20	solved	solve	VERB
fis-3231	41	21	by	by	ADP
fis-3231	41	22	multiple	multiple	ADJ
fis-3231	41	23	scale	scale	NOUN
fis-3231	41	24	method	method	NOUN
fis-3231	41	25	[	[	X
fis-3231	41	26	19	19	NUM
fis-3231	41	27	]	]	PUNCT
fis-3231	41	28	.	.	PUNCT
fis-3231	42	1	this	this	DET
fis-3231	42	2	analytical	analytical	ADJ
fis-3231	42	3	approach	approach	NOUN
fis-3231	42	4	gives	give	VERB
fis-3231	42	5	the	the	DET
fis-3231	42	6	approximate	approximate	ADJ
fis-3231	42	7	solution	solution	NOUN
fis-3231	42	8	of	of	ADP
fis-3231	42	9	the	the	DET
fis-3231	42	10	transversal	transversal	ADJ
fis-3231	42	11	displacement	displacement	NOUN
fis-3231	42	12	and	and	CCONJ
fis-3231	42	13	the	the	DET
fis-3231	42	14	first	first	ADJ
fis-3231	42	15	nonlinear	nonlinear	ADJ
fis-3231	42	16	frequency	frequency	NOUN
fis-3231	42	17	where	where	SCONJ
fis-3231	42	18	the	the	DET
fis-3231	42	19	nonlinear	nonlinear	ADJ
fis-3231	42	20	terms	term	NOUN
fis-3231	42	21	are	be	AUX
fis-3231	42	22	up	up	ADP
fis-3231	42	23	to	to	PART
fis-3231	42	24	fifth	fifth	ADJ
fis-3231	42	25	order	order	NOUN
fis-3231	42	26	.	.	PUNCT
fis-3231	43	1	then	then	ADV
fis-3231	43	2	,	,	PUNCT
fis-3231	43	3	the	the	DET
fis-3231	43	4	results	result	NOUN
fis-3231	43	5	of	of	ADP
fis-3231	43	6	an	an	DET
fis-3231	43	7	experimental	experimental	ADJ
fis-3231	43	8	tests	test	NOUN
fis-3231	43	9	were	be	AUX
fis-3231	43	10	compared	compare	VERB
fis-3231	43	11	with	with	ADP
fis-3231	43	12	the	the	DET
fis-3231	43	13	the	the	DET
fis-3231	43	14	analytical	analytical	ADJ
fis-3231	43	15	findings	finding	NOUN
fis-3231	43	16	to	to	PART
fis-3231	43	17	validate	validate	VERB
fis-3231	43	18	the	the	DET
fis-3231	43	19	nonlinear	nonlinear	ADJ
fis-3231	43	20	model	model	NOUN
fis-3231	43	21	.	.	PUNCT
fis-3231	44	1	free	free	ADJ
fis-3231	44	2	vibration	vibration	NOUN
fis-3231	44	3	experimental	experimental	ADJ
fis-3231	44	4	tests	test	NOUN
fis-3231	44	5	were	be	AUX
fis-3231	44	6	done	do	VERB
fis-3231	44	7	on	on	ADP
fis-3231	44	8	a	a	DET
fis-3231	44	9	rectangular	rectangular	ADJ
fis-3231	44	10	beam	beam	NOUN
fis-3231	44	11	made	make	VERB
fis-3231	44	12	of	of	ADP
fis-3231	44	13	twill	twill	NOUN
fis-3231	44	14	laminated	laminate	VERB
fis-3231	44	15	carbon	carbon	NOUN
fis-3231	44	16	fiber	fiber	NOUN
fis-3231	44	17	reinforced	reinforce	VERB
fis-3231	44	18	polymer	polymer	NOUN
fis-3231	44	19	,	,	PUNCT
fis-3231	44	20	whose	whose	DET
fis-3231	44	21	vibration	vibration	NOUN
fis-3231	44	22	displacement	displacement	ADJ
fis-3231	44	23	amplitude	amplitude	NOUN
fis-3231	44	24	was	be	AUX
fis-3231	44	25	measured	measure	VERB
fis-3231	44	26	by	by	ADP
fis-3231	44	27	high	high	ADJ
fis-3231	44	28	-	-	PUNCT
fis-3231	44	29	speed	speed	NOUN
fis-3231	44	30	imaging	imaging	NOUN
fis-3231	44	31	;	;	PUNCT
fis-3231	44	32	indeed	indeed	ADV
fis-3231	44	33	,	,	PUNCT
fis-3231	44	34	the	the	DET
fis-3231	44	35	image	image	NOUN
fis-3231	44	36	analysis	analysis	NOUN
fis-3231	44	37	allows	allow	VERB
fis-3231	44	38	measuring	measure	VERB
fis-3231	44	39	the	the	DET
fis-3231	44	40	vibration	vibration	NOUN
fis-3231	44	41	displacement	displacement	ADJ
fis-3231	44	42	amplitude	amplitude	NOUN
fis-3231	44	43	of	of	ADP
fis-3231	44	44	any	any	DET
fis-3231	44	45	point	point	NOUN
fis-3231	44	46	of	of	ADP
fis-3231	44	47	the	the	DET
fis-3231	44	48	beam	beam	NOUN
fis-3231	44	49	.	.	PUNCT
fis-3231	45	1	the	the	DET
fis-3231	45	2	obtained	obtain	VERB
fis-3231	45	3	results	result	NOUN
fis-3231	45	4	were	be	AUX
fis-3231	45	5	post	post	ADJ
fis-3231	45	6	-	-	VERB
fis-3231	45	7	processed	process	VERB
fis-3231	45	8	by	by	ADP
fis-3231	45	9	the	the	DET
fis-3231	45	10	fitting	fitting	ADJ
fis-3231	45	11	time	time	NOUN
fis-3231	45	12	history	history	NOUN
fis-3231	45	13	(	(	PUNCT
fis-3231	45	14	fth	fth	NOUN
fis-3231	45	15	)	)	PUNCT
fis-3231	45	16	technique	technique	NOUN
fis-3231	45	17	,	,	PUNCT
fis-3231	45	18	which	which	PRON
fis-3231	45	19	is	be	AUX
fis-3231	45	20	based	base	VERB
fis-3231	45	21	on	on	ADP
fis-3231	45	22	the	the	DET
fis-3231	45	23	least	least	ADJ
fis-3231	45	24	square	square	ADJ
fis-3231	45	25	approximation	approximation	NOUN
fis-3231	45	26	of	of	ADP
fis-3231	45	27	general	general	ADJ
fis-3231	45	28	damped	damped	ADJ
fis-3231	45	29	sinusoidal	sinusoidal	NOUN
fis-3231	45	30	function	function	NOUN
fis-3231	45	31	with	with	ADP
fis-3231	45	32	the	the	DET
fis-3231	45	33	measured	measure	VERB
fis-3231	45	34	free	free	ADJ
fis-3231	45	35	damped	damped	ADJ
fis-3231	45	36	vibrations	vibration	NOUN
fis-3231	45	37	of	of	ADP
fis-3231	45	38	the	the	DET
fis-3231	45	39	specimen	speciman	NOUN
fis-3231	45	40	.	.	PUNCT
fis-3231	46	1	this	this	DET
fis-3231	46	2	technique	technique	NOUN
fis-3231	46	3	allows	allow	VERB
fis-3231	46	4	to	to	PART
fis-3231	46	5	determine	determine	VERB
fis-3231	46	6	the	the	DET
fis-3231	46	7	main	main	ADJ
fis-3231	46	8	natural	natural	ADJ
fis-3231	46	9	frequencies	frequency	NOUN
fis-3231	46	10	,	,	PUNCT
fis-3231	46	11	the	the	DET
fis-3231	46	12	related	related	ADJ
fis-3231	46	13	modal	modal	ADJ
fis-3231	46	14	damping	damp	VERB
fis-3231	46	15	coefficients	coefficient	NOUN
fis-3231	46	16	,	,	PUNCT
fis-3231	46	17	and	and	CCONJ
fis-3231	46	18	damping	damp	VERB
fis-3231	46	19	and	and	CCONJ
fis-3231	46	20	frequency	frequency	NOUN
fis-3231	46	21	nonlinearities	nonlinearitie	NOUN
fis-3231	46	22	[	[	X
fis-3231	46	23	20	20	NUM
fis-3231	46	24	,	,	PUNCT
fis-3231	46	25	21	21	NUM
fis-3231	46	26	]	]	PUNCT
fis-3231	46	27	.	.	PUNCT
fis-3231	47	1	finally	finally	ADV
fis-3231	47	2	,	,	PUNCT
fis-3231	47	3	the	the	DET
fis-3231	47	4	projectile	projectile	NOUN
fis-3231	47	5	impact	impact	NOUN
fis-3231	47	6	against	against	ADP
fis-3231	47	7	a	a	DET
fis-3231	47	8	cantilevered	cantilever	VERB
fis-3231	47	9	beam	beam	NOUN
fis-3231	47	10	has	have	AUX
fis-3231	47	11	been	be	AUX
fis-3231	47	12	simulated	simulate	VERB
fis-3231	47	13	through	through	ADP
fis-3231	47	14	the	the	DET
fis-3231	47	15	commercial	commercial	ADJ
fis-3231	47	16	finite	finite	PROPN
fis-3231	47	17	element	element	NOUN
fis-3231	47	18	software	software	PROPN
fis-3231	47	19	abaqus	abaqus	PROPN
fis-3231	47	20	©	©	PROPN
fis-3231	47	21	.	.	PUNCT
fis-3231	48	1	exploiting	exploit	VERB
fis-3231	48	2	the	the	DET
fis-3231	48	3	nonlinear	nonlinear	PROPN
fis-3231	48	4	euler	euler	VERB
fis-3231	48	5	-	-	PUNCT
fis-3231	48	6	bernoulli	bernoulli	PROPN
fis-3231	48	7	beam	beam	NOUN
fis-3231	48	8	coupled	couple	VERB
fis-3231	48	9	with	with	ADP
fis-3231	48	10	implicit	implicit	ADJ
fis-3231	48	11	solver	solver	NOUN
fis-3231	48	12	,	,	PUNCT
fis-3231	48	13	the	the	DET
fis-3231	48	14	data	datum	NOUN
fis-3231	48	15	about	about	ADP
fis-3231	48	16	speed	speed	NOUN
fis-3231	48	17	and	and	CCONJ
fis-3231	48	18	displacement	displacement	NOUN
fis-3231	48	19	were	be	AUX
fis-3231	48	20	exported	export	VERB
fis-3231	48	21	and	and	CCONJ
fis-3231	48	22	compared	compare	VERB
fis-3231	48	23	with	with	ADP
fis-3231	48	24	the	the	DET
fis-3231	48	25	analytical	analytical	ADJ
fis-3231	48	26	findings	finding	NOUN
fis-3231	48	27	.	.	PUNCT
fis-3231	49	1	analytical	analytical	ADJ
fis-3231	49	2	model	model	NOUN
fis-3231	49	3	n	n	ADP
fis-3231	49	4	according	accord	VERB
fis-3231	49	5	to	to	AUX
fis-3231	49	6	abrate	abrate	VERB
fis-3231	49	7	[	[	X
fis-3231	49	8	3	3	NUM
fis-3231	49	9	]	]	PUNCT
fis-3231	49	10	,	,	PUNCT
fis-3231	49	11	impacts	impact	NOUN
fis-3231	49	12	can	can	AUX
fis-3231	49	13	be	be	AUX
fis-3231	49	14	modelled	model	VERB
fis-3231	49	15	through	through	ADP
fis-3231	49	16	spring	spring	NOUN
fis-3231	49	17	-	-	PUNCT
fis-3231	49	18	mass	mass	NOUN
fis-3231	49	19	models	model	NOUN
fis-3231	49	20	.	.	PUNCT
fis-3231	50	1	they	they	PRON
fis-3231	50	2	provide	provide	VERB
fis-3231	50	3	accurate	accurate	ADJ
fis-3231	50	4	solution	solution	NOUN
fis-3231	50	5	for	for	ADP
fis-3231	50	6	low	low	ADJ
fis-3231	50	7	-	-	PUNCT
fis-3231	50	8	velocity	velocity	NOUN
fis-3231	50	9	impacts	impact	NOUN
fis-3231	50	10	.	.	PUNCT
fis-3231	51	1	the	the	DET
fis-3231	51	2	most	most	ADV
fis-3231	51	3	complete	complete	ADJ
fis-3231	51	4	model	model	NOUN
fis-3231	51	5	consist	consist	VERB
fis-3231	51	6	in	in	ADP
fis-3231	51	7	two	two	NUM
fis-3231	51	8	-	-	PUNCT
fis-3231	51	9	degree	degree	NOUN
fis-3231	51	10	of	of	ADP
fis-3231	51	11	freedom	freedom	NOUN
fis-3231	51	12	model	model	NOUN
fis-3231	51	13	which	which	PRON
fis-3231	51	14	the	the	DET
fis-3231	51	15	projectile	projectile	NOUN
fis-3231	51	16	and	and	CCONJ
fis-3231	51	17	the	the	DET
fis-3231	51	18	hit	hit	VERB
fis-3231	51	19	beam	beam	NOUN
fis-3231	51	20	are	be	AUX
fis-3231	51	21	associated	associate	VERB
fis-3231	51	22	with	with	ADP
fis-3231	51	23	masses	masse	NOUN
fis-3231	51	24	.	.	PUNCT
fis-3231	52	1	the	the	DET
fis-3231	52	2	spring	spring	NOUN
fis-3231	52	3	links	link	NOUN
fis-3231	52	4	each	each	DET
fis-3231	52	5	other	other	ADJ
fis-3231	52	6	represents	represent	VERB
fis-3231	52	7	the	the	DET
fis-3231	52	8	nonlinear	nonlinear	ADJ
fis-3231	52	9	contact	contact	NOUN
fis-3231	52	10	stiffness	stiffness	NOUN
fis-3231	52	11	.	.	PUNCT
fis-3231	53	1	instead	instead	ADV
fis-3231	53	2	,	,	PUNCT
fis-3231	53	3	the	the	DET
fis-3231	53	4	second	second	ADJ
fis-3231	53	5	spring	spring	NOUN
fis-3231	53	6	is	be	AUX
fis-3231	53	7	associated	associate	VERB
fis-3231	53	8	with	with	ADP
fis-3231	53	9	the	the	DET
fis-3231	53	10	linear	linear	ADJ
fis-3231	53	11	and	and	CCONJ
fis-3231	53	12	nonlinear	nonlinear	ADJ
fis-3231	53	13	stiffness	stiffness	NOUN
fis-3231	53	14	of	of	ADP
fis-3231	53	15	the	the	DET
fis-3231	53	16	structure	structure	NOUN
fis-3231	53	17	.	.	PUNCT
fis-3231	54	1	this	this	DET
fis-3231	54	2	kind	kind	NOUN
fis-3231	54	3	of	of	ADP
fis-3231	54	4	model	model	NOUN
fis-3231	54	5	can	can	AUX
fis-3231	54	6	be	be	AUX
fis-3231	54	7	exploited	exploit	VERB
fis-3231	54	8	to	to	PART
fis-3231	54	9	describe	describe	VERB
fis-3231	54	10	the	the	DET
fis-3231	54	11	impact	impact	NOUN
fis-3231	54	12	dynamics	dynamic	NOUN
fis-3231	54	13	of	of	ADP
fis-3231	54	14	projectile	projectile	NOUN
fis-3231	54	15	against	against	ADP
fis-3231	54	16	a	a	DET
fis-3231	54	17	slender	slender	ADJ
fis-3231	54	18	beam	beam	NOUN
fis-3231	54	19	.	.	PUNCT
fis-3231	55	1	the	the	DET
fis-3231	55	2	stiffness	stiffness	NOUN
fis-3231	55	3	of	of	ADP
fis-3231	55	4	the	the	DET
fis-3231	55	5	structure	structure	NOUN
fis-3231	55	6	can	can	AUX
fis-3231	55	7	be	be	AUX
fis-3231	55	8	associated	associate	VERB
fis-3231	55	9	with	with	ADP
fis-3231	55	10	the	the	DET
fis-3231	55	11	bending	bend	VERB
fis-3231	55	12	stiffness	stiffness	NOUN
fis-3231	55	13	of	of	ADP
fis-3231	55	14	euler	euler	NOUN
fis-3231	55	15	-	-	PUNCT
fis-3231	55	16	bernoulli	bernoulli	PROPN
fis-3231	55	17	beam	beam	NOUN
fis-3231	55	18	.	.	PUNCT
fis-3231	56	1	however	however	ADV
fis-3231	56	2	,	,	PUNCT
fis-3231	56	3	the	the	DET
fis-3231	56	4	hit	hit	VERB
fis-3231	56	5	beam	beam	NOUN
fis-3231	56	6	undergoes	undergo	VERB
fis-3231	56	7	a	a	DET
fis-3231	56	8	large	large	ADJ
fis-3231	56	9	deflection	deflection	NOUN
fis-3231	56	10	because	because	SCONJ
fis-3231	56	11	of	of	ADP
fis-3231	56	12	the	the	DET
fis-3231	56	13	slenderness	slenderness	NOUN
fis-3231	56	14	.	.	PUNCT
fis-3231	57	1	therefore	therefore	ADV
fis-3231	57	2	,	,	PUNCT
fis-3231	57	3	the	the	DET
fis-3231	57	4	indentation	indentation	NOUN
fis-3231	57	5	is	be	AUX
fis-3231	57	6	smaller	small	ADJ
fis-3231	57	7	than	than	ADP
fis-3231	57	8	the	the	DET
fis-3231	57	9	overall	overall	ADJ
fis-3231	57	10	deformation	deformation	NOUN
fis-3231	57	11	of	of	ADP
fis-3231	57	12	the	the	DET
fis-3231	57	13	structure	structure	NOUN
fis-3231	57	14	and	and	CCONJ
fis-3231	57	15	can	can	AUX
fis-3231	57	16	be	be	AUX
fis-3231	57	17	neglected	neglect	VERB
fis-3231	57	18	.	.	PUNCT
fis-3231	58	1	the	the	DET
fis-3231	58	2	models	model	NOUN
fis-3231	58	3	assumes	assume	VERB
fis-3231	58	4	the	the	DET
fis-3231	58	5	single	single	ADJ
fis-3231	58	6	-	-	PUNCT
fis-3231	58	7	degree	degree	NOUN
fis-3231	58	8	of	of	ADP
fis-3231	58	9	freedom	freedom	NOUN
fis-3231	58	10	form	form	NOUN
fis-3231	58	11	which	which	PRON
fis-3231	58	12	the	the	DET
fis-3231	58	13	masses	masse	NOUN
fis-3231	58	14	of	of	ADP
fis-3231	58	15	the	the	DET
fis-3231	58	16	projectile	projectile	NOUN
fis-3231	58	17	and	and	CCONJ
fis-3231	58	18	the	the	DET
fis-3231	58	19	beam	beam	NOUN
fis-3231	58	20	are	be	AUX
fis-3231	58	21	added	add	VERB
fis-3231	58	22	together	together	ADV
fis-3231	58	23	,	,	PUNCT
fis-3231	58	24	as	as	SCONJ
fis-3231	58	25	shown	show	VERB
fis-3231	58	26	in	in	ADP
fis-3231	58	27	fig	fig	NOUN
fis-3231	58	28	.	.	PUNCT
fis-3231	59	1	(	(	PUNCT
fis-3231	59	2	2	2	NUM
fis-3231	59	3	)	)	PUNCT
fis-3231	59	4	.	.	PUNCT
fis-3231	60	1	the	the	DET
fis-3231	60	2	low	low	ADJ
fis-3231	60	3	-	-	PUNCT
fis-3231	60	4	velocity	velocity	NOUN
fis-3231	60	5	impacts	impact	NOUN
fis-3231	60	6	models	model	NOUN
fis-3231	60	7	exist	exist	VERB
fis-3231	60	8	only	only	ADV
fis-3231	60	9	when	when	SCONJ
fis-3231	60	10	the	the	DET
fis-3231	60	11	waves	wave	NOUN
fis-3231	60	12	phenomena	phenomena	VERB
fis-3231	60	13	inside	inside	ADP
fis-3231	60	14	the	the	DET
fis-3231	60	15	beam	beam	NOUN
fis-3231	60	16	due	due	ADP
fis-3231	60	17	to	to	ADP
fis-3231	60	18	the	the	DET
fis-3231	60	19	hitting	hitting	NOUN
fis-3231	60	20	are	be	AUX
fis-3231	60	21	neglected	neglect	VERB
fis-3231	60	22	.	.	PUNCT
fis-3231	61	1	in	in	ADP
fis-3231	61	2	this	this	DET
fis-3231	61	3	case	case	NOUN
fis-3231	61	4	,	,	PUNCT
fis-3231	61	5	flexural	flexural	ADJ
fis-3231	61	6	waves	wave	NOUN
fis-3231	61	7	appear	appear	VERB
fis-3231	61	8	from	from	ADP
fis-3231	61	9	the	the	DET
fis-3231	61	10	bending	bend	VERB
fis-3231	61	11	action	action	NOUN
fis-3231	61	12	of	of	ADP
fis-3231	61	13	the	the	DET
fis-3231	61	14	impacted	impact	VERB
fis-3231	61	15	projectile	projectile	NOUN
fis-3231	61	16	.	.	PUNCT
fis-3231	62	1	the	the	DET
fis-3231	62	2	euler	euler	PROPN
fis-3231	62	3	–	–	PUNCT
fis-3231	62	4	bernoulli	bernoulli	PROPN
fis-3231	62	5	theory	theory	NOUN
fis-3231	62	6	of	of	ADP
fis-3231	62	7	bending	bending	NOUN
fis-3231	62	8	assumes	assume	VERB
fis-3231	62	9	that	that	SCONJ
fis-3231	62	10	plane	plane	NOUN
fis-3231	62	11	sections	section	NOUN
fis-3231	62	12	remain	remain	VERB
fis-3231	62	13	plane	plane	NOUN
fis-3231	62	14	as	as	ADP
fis-3231	62	15	the	the	DET
fis-3231	62	16	bending	bend	VERB
fis-3231	62	17	deformation	deformation	NOUN
fis-3231	62	18	.	.	PUNCT
fis-3231	63	1	shear	shear	ADJ
fis-3231	63	2	deformation	deformation	NOUN
fis-3231	63	3	and	and	CCONJ
fis-3231	63	4	rotary	rotary	NOUN
fis-3231	63	5	i	i	PRON
fis-3231	63	6	m.	m.	PROPN
fis-3231	63	7	utzeri	utzeri	PROPN
fis-3231	63	8	et	et	PROPN
fis-3231	63	9	alii	alii	PROPN
fis-3231	63	10	,	,	PUNCT
fis-3231	63	11	frattura	frattura	PROPN
fis-3231	63	12	ed	ed	PROPN
fis-3231	63	13	integrità	integrità	PROPN
fis-3231	63	14	strutturale	strutturale	PROPN
fis-3231	63	15	,	,	PUNCT
fis-3231	63	16	58	58	NUM
fis-3231	63	17	(	(	PUNCT
fis-3231	63	18	2021	2021	NUM
fis-3231	63	19	)	)	PUNCT
fis-3231	63	20	254	254	NUM
fis-3231	63	21	-	-	SYM
fis-3231	63	22	271	271	NUM
fis-3231	63	23	;	;	PUNCT
fis-3231	63	24	doi	doi	NOUN
fis-3231	63	25	:	:	PUNCT
fis-3231	63	26	10.3221	10.3221	NUM
fis-3231	63	27	/	/	SYM
fis-3231	63	28	igf	igf	PROPN
fis-3231	63	29	-	-	PUNCT
fis-3231	63	30	esis.58.19	esis.58.19	PROPN
fis-3231	63	31	256	256	NUM
fis-3231	63	32	inertia	inertia	NOUN
fis-3231	63	33	effects	effect	NOUN
fis-3231	63	34	are	be	AUX
fis-3231	63	35	ignored	ignore	VERB
fis-3231	63	36	.	.	PUNCT
fis-3231	64	1	considering	consider	VERB
fis-3231	64	2	a	a	DET
fis-3231	64	3	uniform	uniform	ADJ
fis-3231	64	4	beam	beam	NOUN
fis-3231	64	5	of	of	ADP
fis-3231	64	6	mass	mass	NOUN
fis-3231	64	7	per	per	ADP
fis-3231	64	8	unit	unit	NOUN
fis-3231	64	9	length	length	NOUN
fis-3231	64	10	m	m	PROPN
fis-3231	64	11	,	,	PUNCT
fis-3231	64	12	the	the	DET
fis-3231	64	13	elastic	elastic	ADJ
fis-3231	64	14	modulus	modulus	NOUN
fis-3231	64	15	e	e	NOUN
fis-3231	64	16	and	and	CCONJ
fis-3231	64	17	the	the	DET
fis-3231	64	18	area	area	NOUN
fis-3231	64	19	moment	moment	NOUN
fis-3231	64	20	of	of	ADP
fis-3231	64	21	inertia	inertia	NOUN
fis-3231	64	22	i	i	PRON
fis-3231	64	23	that	that	PRON
fis-3231	64	24	undergoes	undergo	VERB
fis-3231	64	25	a	a	DET
fis-3231	64	26	flexural	flexural	ADJ
fis-3231	64	27	wave	wave	NOUN
fis-3231	64	28	motion	motion	NOUN
fis-3231	64	29	with	with	ADP
fis-3231	64	30	vertical	vertical	ADJ
fis-3231	64	31	displacement	displacement	NOUN
fis-3231	64	32	,	,	PUNCT
fis-3231	64	33	the	the	DET
fis-3231	64	34	flexural	flexural	ADJ
fis-3231	64	35	waves	wave	NOUN
fis-3231	64	36	speed	speed	NOUN
fis-3231	64	37	is	be	AUX
fis-3231	64	38	given	give	VERB
fis-3231	64	39	by	by	ADP
fis-3231	64	40			PROPN
fis-3231	64	41			PROPN
fis-3231	64	42			NUM
fis-3231	64	43			PROPN
fis-3231	64	44			PROPN
fis-3231	65	1			PROPN
fis-3231	65	2			PROPN
fis-3231	65	3			PROPN
fis-3231	66	1			ADJ
fis-3231	66	2			NOUN
fis-3231	66	3	1	1	NUM
fis-3231	66	4	4	4	NUM
fis-3231	66	5	f	f	NOUN
fis-3231	66	6	ei	ei	NOUN
fis-3231	66	7	c	c	NOUN
fis-3231	66	8	m	m	VERB
fis-3231	66	9	(	(	PUNCT
fis-3231	66	10	1	1	NUM
fis-3231	66	11	)	)	PUNCT
fis-3231	66	12	where	where	SCONJ
fis-3231	66	13	γ	γ	PROPN
fis-3231	66	14	is	be	AUX
fis-3231	66	15	the	the	DET
fis-3231	66	16	wavenumber	wavenumber	NOUN
fis-3231	66	17	and	and	CCONJ
fis-3231	66	18	ω	ω	PROPN
fis-3231	66	19	is	be	AUX
fis-3231	66	20	the	the	DET
fis-3231	66	21	frequency	frequency	NOUN
fis-3231	66	22	[	[	X
fis-3231	66	23	22	22	NUM
fis-3231	66	24	,	,	PUNCT
fis-3231	66	25	23	23	NUM
fis-3231	66	26	]	]	PUNCT
fis-3231	66	27	.	.	PUNCT
fis-3231	67	1	from	from	ADP
fis-3231	67	2	the	the	DET
fis-3231	67	3	eqn	eqn	NOUN
fis-3231	67	4	.	.	PUNCT
fis-3231	68	1	(	(	PUNCT
fis-3231	68	2	1	1	X
fis-3231	68	3	)	)	PUNCT
fis-3231	68	4	can	can	AUX
fis-3231	68	5	be	be	AUX
fis-3231	68	6	deduce	deduce	VERB
fis-3231	68	7	the	the	DET
fis-3231	68	8	flexural	flexural	ADJ
fis-3231	68	9	waves	wave	NOUN
fis-3231	68	10	speed	speed	NOUN
fis-3231	68	11	is	be	AUX
fis-3231	68	12	function	function	NOUN
fis-3231	68	13	of	of	ADP
fis-3231	68	14	frequency	frequency	NOUN
fis-3231	68	15	thus	thus	ADV
fis-3231	68	16	they	they	PRON
fis-3231	68	17	are	be	AUX
fis-3231	68	18	also	also	ADV
fis-3231	68	19	called	call	VERB
fis-3231	68	20	dispersive	dispersive	ADJ
fis-3231	68	21	waves	wave	NOUN
fis-3231	68	22	.	.	PUNCT
fis-3231	69	1	the	the	DET
fis-3231	69	2	phenomenon	phenomenon	NOUN
fis-3231	69	3	of	of	ADP
fis-3231	69	4	flexural	flexural	ADJ
fis-3231	69	5	wave	wave	NOUN
fis-3231	69	6	propagation	propagation	NOUN
fis-3231	69	7	can	can	AUX
fis-3231	69	8	be	be	AUX
fis-3231	69	9	neglected	neglect	VERB
fis-3231	69	10	when	when	SCONJ
fis-3231	69	11	the	the	DET
fis-3231	69	12	interested	interested	ADJ
fis-3231	69	13	time	time	NOUN
fis-3231	69	14	is	be	AUX
fis-3231	69	15	bigger	big	ADJ
fis-3231	69	16	than	than	ADP
fis-3231	69	17	the	the	DET
fis-3231	69	18	time	time	NOUN
fis-3231	69	19	of	of	ADP
fis-3231	69	20	flexural	flexural	ADJ
fis-3231	69	21	wave	wave	NOUN
fis-3231	69	22	takes	take	VERB
fis-3231	69	23	to	to	PART
fis-3231	69	24	travel	travel	VERB
fis-3231	69	25	inside	inside	ADP
fis-3231	69	26	the	the	DET
fis-3231	69	27	beam	beam	NOUN
fis-3231	69	28	,	,	PUNCT
fis-3231	69	29	fwt	fwt	PROPN
fis-3231	69	30	=	=	PUNCT
fis-3231	69	31	 	 	SPACE
fis-3231	70	1	fc	fc	PROPN
fis-3231	70	2	l	l	PROPN
fis-3231	70	3	.	.	PUNCT
fis-3231	71	1	fig	fig	NOUN
fis-3231	71	2	.	.	PUNCT
fis-3231	72	1	(	(	PUNCT
fis-3231	72	2	1	1	X
fis-3231	72	3	)	)	PUNCT
fis-3231	72	4	shows	show	VERB
fis-3231	72	5	a	a	DET
fis-3231	72	6	simplified	simplified	ADJ
fis-3231	72	7	motion	motion	NOUN
fis-3231	72	8	of	of	ADP
fis-3231	72	9	slender	slender	ADJ
fis-3231	72	10	cantilever	cantilever	NOUN
fis-3231	72	11	beam	beam	NOUN
fis-3231	72	12	during	during	ADP
fis-3231	72	13	an	an	DET
fis-3231	72	14	impact	impact	NOUN
fis-3231	72	15	of	of	ADP
fis-3231	72	16	projectile	projectile	NOUN
fis-3231	72	17	.	.	PUNCT
fis-3231	73	1	when	when	SCONJ
fis-3231	73	2	the	the	DET
fis-3231	73	3	projectile	projectile	NOUN
fis-3231	73	4	hit	hit	VERB
fis-3231	73	5	the	the	DET
fis-3231	73	6	beam	beam	NOUN
fis-3231	73	7	fig	fig	NOUN
fis-3231	73	8	.	.	PUNCT
fis-3231	74	1	(	(	PUNCT
fis-3231	74	2	1b	1b	NUM
fis-3231	74	3	)	)	PUNCT
fis-3231	74	4	,	,	PUNCT
fis-3231	74	5	flexural	flexural	ADJ
fis-3231	74	6	waves	wave	NOUN
fis-3231	74	7	start	start	VERB
fis-3231	74	8	to	to	PART
fis-3231	74	9	travel	travel	VERB
fis-3231	74	10	inside	inside	ADP
fis-3231	74	11	the	the	DET
fis-3231	74	12	beam	beam	NOUN
fis-3231	74	13	and	and	CCONJ
fis-3231	74	14	have	have	VERB
fis-3231	74	15	a	a	DET
fis-3231	74	16	velocity	velocity	NOUN
fis-3231	74	17	fc	fc	PROPN
fis-3231	74	18	.	.	PUNCT
fis-3231	75	1	fc	fc	PROPN
fis-3231	75	2	is	be	AUX
fis-3231	75	3	not	not	PART
fis-3231	75	4	constant	constant	ADJ
fis-3231	75	5	as	as	ADP
fis-3231	75	6	in	in	ADP
fis-3231	75	7	axial	axial	ADJ
fis-3231	75	8	waves	wave	NOUN
fis-3231	75	9	but	but	CCONJ
fis-3231	75	10	it	it	PRON
fis-3231	75	11	is	be	AUX
fis-3231	75	12	depended	depend	VERB
fis-3231	75	13	to	to	ADP
fis-3231	75	14	the	the	DET
fis-3231	75	15	impact	impact	NOUN
fis-3231	75	16	.	.	PUNCT
fis-3231	76	1	more	more	ADV
fis-3231	76	2	rapidly	rapidly	ADV
fis-3231	76	3	is	be	AUX
fis-3231	76	4	the	the	DET
fis-3231	76	5	impulse	impulse	ADJ
fis-3231	76	6	and	and	CCONJ
fis-3231	76	7	more	more	ADJ
fis-3231	76	8	is	be	AUX
fis-3231	76	9	the	the	DET
fis-3231	76	10	waves	wave	NOUN
fis-3231	76	11	speed	speed	NOUN
fis-3231	76	12	.	.	PUNCT
fis-3231	77	1	after	after	ADP
fis-3231	77	2	the	the	DET
fis-3231	77	3	early	early	ADJ
fis-3231	77	4	stages	stage	NOUN
fis-3231	77	5	,	,	PUNCT
fis-3231	77	6	multiple	multiple	ADJ
fis-3231	77	7	reflections	reflection	NOUN
fis-3231	77	8	occur	occur	VERB
fis-3231	77	9	,	,	PUNCT
fis-3231	77	10	and	and	CCONJ
fis-3231	77	11	the	the	DET
fis-3231	77	12	bending	bend	VERB
fis-3231	77	13	motion	motion	NOUN
fis-3231	77	14	is	be	AUX
fis-3231	77	15	established	establish	VERB
fis-3231	77	16	.	.	PUNCT
fis-3231	78	1	as	as	SCONJ
fis-3231	78	2	the	the	DET
fis-3231	78	3	beam	beam	NOUN
fis-3231	78	4	is	be	AUX
fis-3231	78	5	bending	bend	VERB
fis-3231	78	6	,	,	PUNCT
fis-3231	78	7	flexural	flexural	ADJ
fis-3231	78	8	waves	wave	NOUN
fis-3231	78	9	keep	keep	VERB
fis-3231	78	10	traveling	travel	VERB
fis-3231	78	11	but	but	CCONJ
fis-3231	78	12	their	their	PRON
fis-3231	78	13	effects	effect	NOUN
fis-3231	78	14	can	can	AUX
fis-3231	78	15	be	be	AUX
fis-3231	78	16	neglected	neglect	VERB
fis-3231	78	17	.	.	PUNCT
fis-3231	79	1	consequently	consequently	ADV
fis-3231	79	2	,	,	PUNCT
fis-3231	79	3	the	the	DET
fis-3231	79	4	beam	beam	NOUN
fis-3231	79	5	motion	motion	NOUN
fis-3231	79	6	can	can	AUX
fis-3231	79	7	be	be	AUX
fis-3231	79	8	completely	completely	ADV
fis-3231	79	9	described	describe	VERB
fis-3231	79	10	through	through	ADP
fis-3231	79	11	multi	multi	ADJ
fis-3231	79	12	-	-	ADJ
fis-3231	79	13	modal	modal	ADJ
fis-3231	79	14	superposition	superposition	NOUN
fis-3231	79	15	technique	technique	NOUN
fis-3231	79	16	as	as	ADP
fis-3231	79	17	in	in	ADP
fis-3231	79	18	fig	fig	NOUN
fis-3231	79	19	.	.	PUNCT
fis-3231	80	1	(	(	PUNCT
fis-3231	80	2	1c	1c	NUM
fis-3231	80	3	)	)	PUNCT
fis-3231	80	4	.	.	PUNCT
fis-3231	81	1	(	(	PUNCT
fis-3231	81	2	a	a	X
fis-3231	81	3	)	)	PUNCT
fis-3231	81	4	(	(	PUNCT
fis-3231	81	5	b	b	X
fis-3231	81	6	)	)	PUNCT
fis-3231	81	7	(	(	PUNCT
fis-3231	81	8	c	c	X
fis-3231	81	9	)	)	PUNCT
fis-3231	81	10	figure	figure	NOUN
fis-3231	81	11	1	1	NUM
fis-3231	81	12	:	:	PUNCT
fis-3231	81	13	simplified	simplified	ADJ
fis-3231	81	14	motion	motion	NOUN
fis-3231	81	15	of	of	ADP
fis-3231	81	16	slender	slender	ADJ
fis-3231	81	17	cantilever	cantilever	NOUN
fis-3231	81	18	beam	beam	NOUN
fis-3231	81	19	during	during	ADP
fis-3231	81	20	an	an	DET
fis-3231	81	21	impact	impact	NOUN
fis-3231	81	22	of	of	ADP
fis-3231	81	23	projectile	projectile	NOUN
fis-3231	81	24	.	.	PUNCT
fis-3231	82	1	(	(	PUNCT
fis-3231	82	2	a	a	X
fis-3231	82	3	)	)	PUNCT
fis-3231	82	4	before	before	ADP
fis-3231	82	5	the	the	DET
fis-3231	82	6	impact	impact	NOUN
fis-3231	82	7	.	.	PUNCT
fis-3231	83	1	(	(	PUNCT
fis-3231	83	2	b	b	X
fis-3231	83	3	)	)	PUNCT
fis-3231	83	4	after	after	ADP
fis-3231	83	5	the	the	DET
fis-3231	83	6	impact	impact	NOUN
fis-3231	83	7	and	and	CCONJ
fis-3231	83	8			PROPN
fis-3231	83	9	fwt	fwt	PROPN
fis-3231	83	10	t	t	PROPN
fis-3231	83	11	(	(	PUNCT
fis-3231	83	12	flexural	flexural	ADJ
fis-3231	83	13	waves	wave	NOUN
fis-3231	83	14	predominant	predominant	ADJ
fis-3231	83	15	)	)	PUNCT
fis-3231	83	16	.	.	PUNCT
fis-3231	84	1	(	(	PUNCT
fis-3231	84	2	c)after	c)after	ADV
fis-3231	84	3	the	the	DET
fis-3231	84	4	impact	impact	NOUN
fis-3231	84	5	and	and	CCONJ
fis-3231	84	6			PUNCT
fis-3231	84	7	fwt	fwt	PROPN
fis-3231	84	8	t	t	PROPN
fis-3231	84	9	(	(	PUNCT
fis-3231	84	10	multi	multi	ADJ
fis-3231	84	11	-	-	ADJ
fis-3231	84	12	modal	modal	ADJ
fis-3231	84	13	superposition	superposition	NOUN
fis-3231	84	14	)	)	PUNCT
fis-3231	84	15	multi	multi	ADJ
fis-3231	84	16	-	-	ADJ
fis-3231	84	17	modal	modal	ADJ
fis-3231	84	18	nonlinear	nonlinear	ADJ
fis-3231	84	19	response	response	NOUN
fis-3231	84	20	the	the	DET
fis-3231	84	21	beam	beam	NOUN
fis-3231	84	22	under	under	ADP
fis-3231	84	23	consideration	consideration	NOUN
fis-3231	84	24	is	be	AUX
fis-3231	84	25	shown	show	VERB
fis-3231	84	26	in	in	ADP
fis-3231	84	27	fig	fig	NOUN
fis-3231	84	28	.	.	PUNCT
fis-3231	85	1	(	(	PUNCT
fis-3231	85	2	2	2	NUM
fis-3231	85	3	)	)	PUNCT
fis-3231	85	4	.	.	PUNCT
fis-3231	86	1	it	it	PRON
fis-3231	86	2	is	be	AUX
fis-3231	86	3	homogeneous	homogeneous	ADJ
fis-3231	86	4	,	,	PUNCT
fis-3231	86	5	i.e.	i.e.	X
fis-3231	86	6	the	the	DET
fis-3231	86	7	cross	cross	NOUN
fis-3231	86	8	-	-	NOUN
fis-3231	86	9	section	section	NOUN
fis-3231	86	10	,	,	PUNCT
fis-3231	86	11	the	the	DET
fis-3231	86	12	density	density	NOUN
fis-3231	86	13	,	,	PUNCT
fis-3231	86	14	and	and	CCONJ
fis-3231	86	15	all	all	DET
fis-3231	86	16	other	other	ADJ
fis-3231	86	17	properties	property	NOUN
fis-3231	86	18	are	be	AUX
fis-3231	86	19	constant	constant	ADJ
fis-3231	86	20	along	along	ADP
fis-3231	86	21	the	the	DET
fis-3231	86	22	beam	beam	NOUN
fis-3231	86	23	axis	axis	NOUN
fis-3231	86	24	.	.	PUNCT
fis-3231	87	1	the	the	DET
fis-3231	87	2	lumped	lump	VERB
fis-3231	87	3	mass	mass	NOUN
fis-3231	87	4	is	be	AUX
fis-3231	87	5	fixed	fix	VERB
fis-3231	87	6	symmetrically	symmetrically	ADV
fis-3231	87	7	with	with	ADP
fis-3231	87	8	respect	respect	NOUN
fis-3231	87	9	to	to	ADP
fis-3231	87	10	the	the	DET
fis-3231	87	11	beam	beam	NOUN
fis-3231	87	12	center	center	PROPN
fis-3231	87	13	line	line	NOUN
fis-3231	87	14	to	to	PART
fis-3231	87	15	maintain	maintain	VERB
fis-3231	87	16	the	the	DET
fis-3231	87	17	symmetry	symmetry	NOUN
fis-3231	87	18	with	with	ADP
fis-3231	87	19	respect	respect	NOUN
fis-3231	87	20	to	to	ADP
fis-3231	87	21	the	the	DET
fis-3231	87	22	𝑋	𝑋	PROPN
fis-3231	87	23	reference	reference	NOUN
fis-3231	87	24	line	line	NOUN
fis-3231	87	25	.	.	PUNCT
fis-3231	88	1	figure	figure	NOUN
fis-3231	88	2	2	2	NUM
fis-3231	88	3	:	:	PUNCT
fis-3231	88	4	sketch	sketch	NOUN
fis-3231	88	5	of	of	ADP
fis-3231	88	6	cantilever	cantilever	NOUN
fis-3231	88	7	beam	beam	NOUN
fis-3231	88	8	with	with	ADP
fis-3231	88	9	intermediate	intermediate	ADJ
fis-3231	88	10	mass	mass	PROPN
fis-3231	88	11	m.	m.	NOUN
fis-3231	88	12	utzeri	utzeri	PROPN
fis-3231	88	13	et	et	PROPN
fis-3231	88	14	alii	alii	PROPN
fis-3231	88	15	,	,	PUNCT
fis-3231	88	16	frattura	frattura	PROPN
fis-3231	88	17	ed	ed	PROPN
fis-3231	88	18	integrità	integrità	PROPN
fis-3231	88	19	strutturale	strutturale	PROPN
fis-3231	88	20	,	,	PUNCT
fis-3231	88	21	58	58	NUM
fis-3231	88	22	(	(	PUNCT
fis-3231	88	23	2021	2021	NUM
fis-3231	88	24	)	)	PUNCT
fis-3231	88	25	254	254	NUM
fis-3231	88	26	-	-	SYM
fis-3231	88	27	271	271	NUM
fis-3231	88	28	;	;	PUNCT
fis-3231	88	29	doi	doi	NOUN
fis-3231	88	30	:	:	PUNCT
fis-3231	88	31	10.3221	10.3221	NUM
fis-3231	88	32	/	/	SYM
fis-3231	88	33	igf	igf	PROPN
fis-3231	88	34	-	-	PUNCT
fis-3231	88	35	esis.58.19	esis.58.19	PROPN
fis-3231	88	36	257	257	NUM
fis-3231	88	37	in	in	ADP
fis-3231	88	38	order	order	NOUN
fis-3231	88	39	to	to	PART
fis-3231	88	40	describe	describe	VERB
fis-3231	88	41	the	the	DET
fis-3231	88	42	nonlinear	nonlinear	ADJ
fis-3231	88	43	response	response	NOUN
fis-3231	88	44	of	of	ADP
fis-3231	88	45	the	the	DET
fis-3231	88	46	impacted	impact	VERB
fis-3231	88	47	beam	beam	NOUN
fis-3231	88	48	in	in	ADP
fis-3231	88	49	large	large	ADJ
fis-3231	88	50	deflection	deflection	NOUN
fis-3231	88	51	,	,	PUNCT
fis-3231	88	52	the	the	DET
fis-3231	88	53	equations	equation	NOUN
fis-3231	88	54	of	of	ADP
fis-3231	88	55	motion	motion	NOUN
fis-3231	88	56	are	be	AUX
fis-3231	88	57	determined	determine	VERB
fis-3231	88	58	starting	start	VERB
fis-3231	88	59	from	from	ADP
fis-3231	88	60	the	the	DET
fis-3231	88	61	definition	definition	NOUN
fis-3231	88	62	of	of	ADP
fis-3231	88	63	the	the	DET
fis-3231	88	64	energies	energy	NOUN
fis-3231	88	65	.	.	PUNCT
fis-3231	89	1	the	the	DET
fis-3231	89	2	formulation	formulation	NOUN
fis-3231	89	3	takes	take	VERB
fis-3231	89	4	into	into	ADP
fis-3231	89	5	account	account	NOUN
fis-3231	89	6	large	large	ADJ
fis-3231	89	7	vibrations	vibration	NOUN
fis-3231	89	8	,	,	PUNCT
fis-3231	89	9	the	the	DET
fis-3231	89	10	inextensibility	inextensibility	NOUN
fis-3231	89	11	of	of	ADP
fis-3231	89	12	the	the	DET
fis-3231	89	13	beam	beam	NOUN
fis-3231	89	14	,	,	PUNCT
fis-3231	89	15	and	and	CCONJ
fis-3231	89	16	the	the	DET
fis-3231	89	17	lumped	lump	VERB
fis-3231	89	18	mass	mass	ADJ
fis-3231	89	19	inertial	inertial	ADJ
fis-3231	89	20	terms	term	NOUN
fis-3231	89	21	.	.	PUNCT
fis-3231	90	1	as	as	SCONJ
fis-3231	90	2	proposed	propose	VERB
fis-3231	90	3	by	by	ADP
fis-3231	90	4	hamdan	hamdan	PROPN
fis-3231	91	1	[	[	X
fis-3231	91	2	17	17	NUM
fis-3231	91	3	]	]	PUNCT
fis-3231	91	4	,	,	PUNCT
fis-3231	91	5	the	the	DET
fis-3231	91	6	kinetic	kinetic	NOUN
fis-3231	91	7	(	(	PUNCT
fis-3231	91	8	𝐸	𝐸	PROPN
fis-3231	91	9	)	)	PUNCT
fis-3231	91	10	and	and	CCONJ
fis-3231	91	11	potential	potential	ADJ
fis-3231	91	12	(	(	PUNCT
fis-3231	91	13	𝐸	𝐸	ADJ
fis-3231	91	14	)	)	PUNCT
fis-3231	91	15	energy	energy	NOUN
fis-3231	91	16	of	of	ADP
fis-3231	91	17	the	the	DET
fis-3231	91	18	beam	beam	NOUN
fis-3231	91	19	are	be	AUX
fis-3231	91	20	defined	define	VERB
fis-3231	91	21	as	as	ADP
fis-3231	91	22			NOUN
fis-3231	91	23			PROPN
fis-3231	91	24			NOUN
fis-3231	92	1			PUNCT
fis-3231	92	2			NUM
fis-3231	92	3			NOUN
fis-3231	92	4			NOUN
fis-3231	92	5			NOUN
fis-3231	92	6			PROPN
fis-3231	92	7			PROPN
fis-3231	92	8			ADV
fis-3231	92	9			PUNCT
fis-3231	92	10			PROPN
fis-3231	92	11			PROPN
fis-3231	92	12			PROPN
fis-3231	92	13			NOUN
fis-3231	92	14			NOUN
fis-3231	92	15			NOUN
fis-3231	92	16			NOUN
fis-3231	92	17	3	3	NUM
fis-3231	92	18	1	1	NUM
fis-3231	92	19	2	2	NUM
fis-3231	92	20	2	2	NUM
fis-3231	92	21	2	2	NUM
fis-3231	92	22	2	2	NUM
fis-3231	92	23	2	2	NUM
fis-3231	92	24	0	0	NUM
fis-3231	93	1	|	|	ADV
fis-3231	93	2	|	|	ADV
fis-3231	93	3	2k	2k	NUM
fis-3231	93	4	ml	ml	NOUN
fis-3231	93	5	e	e	NOUN
fis-3231	93	6	x	x	SYM
fis-3231	93	7	y	y	PROPN
fis-3231	93	8	d	d	NOUN
fis-3231	93	9	x	x	X
fis-3231	93	10	y	y	PROPN
fis-3231	93	11	j	j	PROPN
fis-3231	93	12	(	(	PUNCT
fis-3231	93	13	2	2	NUM
fis-3231	93	14	)	)	PUNCT
fis-3231	93	15			NOUN
fis-3231	93	16			NOUN
fis-3231	93	17			NOUN
fis-3231	93	18	1	1	NUM
fis-3231	93	19	2	2	NUM
fis-3231	93	20	0	0	NUM
fis-3231	93	21	(	(	PUNCT
fis-3231	93	22	,	,	PUNCT
fis-3231	93	23	)	)	PUNCT
fis-3231	93	24	2p	2p	NUM
fis-3231	93	25	ei	ei	NOUN
fis-3231	93	26	e	e	X
fis-3231	93	27	k	k	PROPN
fis-3231	93	28	t	t	PROPN
fis-3231	93	29	d	d	X
fis-3231	93	30	l	l	X
fis-3231	93	31	(	(	PUNCT
fis-3231	93	32	3	3	NUM
fis-3231	93	33	)	)	PUNCT
fis-3231	93	34	where	where	SCONJ
fis-3231	93	35	dot	dot	NOUN
fis-3231	93	36	means	mean	VERB
fis-3231	93	37	derivative	derivative	ADJ
fis-3231	93	38	with	with	ADP
fis-3231	93	39	respect	respect	NOUN
fis-3231	93	40	to	to	ADP
fis-3231	93	41	time	time	NOUN
fis-3231	93	42	,	,	PUNCT
fis-3231	93	43			X
fis-3231	94	1			NOUN
fis-3231	94	2	s	s	PART
fis-3231	94	3	l	l	NOUN
fis-3231	94	4	is	be	AUX
fis-3231	94	5	the	the	DET
fis-3231	94	6	dimensionless	dimensionless	ADJ
fis-3231	94	7	distance	distance	NOUN
fis-3231	94	8	from	from	ADP
fis-3231	94	9	the	the	DET
fis-3231	94	10	left	left	ADJ
fis-3231	94	11	boundary	boundary	NOUN
fis-3231	94	12	,	,	PUNCT
fis-3231	94	13			NOUN
fis-3231	94	14	x	x	SYM
fis-3231	94	15	x	x	PUNCT
fis-3231	94	16	l	l	NOUN
fis-3231	94	17	and	and	CCONJ
fis-3231	94	18			NOUN
fis-3231	95	1	y	y	PROPN
fis-3231	95	2	y	y	PROPN
fis-3231	95	3	l	l	NOUN
fis-3231	95	4	.	.	PUNCT
fis-3231	96	1			NOUN
fis-3231	96	2			PUNCT
fis-3231	96	3	,	,	PUNCT
fis-3231	96	4	x	x	SYM
fis-3231	96	5	t	t	NOUN
fis-3231	96	6	and	and	CCONJ
fis-3231	96	7			PROPN
fis-3231	96	8			PUNCT
fis-3231	96	9	,	,	PUNCT
fis-3231	96	10	y	y	PROPN
fis-3231	96	11	t	t	PROPN
fis-3231	96	12	are	be	AUX
fis-3231	96	13	the	the	DET
fis-3231	96	14	deformed	deform	VERB
fis-3231	96	15	position	position	NOUN
fis-3231	96	16	of	of	ADP
fis-3231	96	17	the	the	DET
fis-3231	96	18	generic	generic	ADJ
fis-3231	96	19	point	point	NOUN
fis-3231	96	20			PROPN
fis-3231	96	21			PUNCT
fis-3231	96	22	,	,	PUNCT
fis-3231	96	23	0	0	NUM
fis-3231	96	24	in	in	ADP
fis-3231	96	25	the	the	DET
fis-3231	96	26	reference	reference	NOUN
fis-3231	96	27	straight	straight	ADJ
fis-3231	96	28	configuration	configuration	NOUN
fis-3231	96	29	.	.	PUNCT
fis-3231	97	1			PUNCT
fis-3231	98	1			NUM
fis-3231	98	2	d	d	NOUN
fis-3231	98	3	l	l	NOUN
fis-3231	98	4	is	be	AUX
fis-3231	98	5	the	the	DET
fis-3231	98	6	given	give	VERB
fis-3231	98	7	dimensionless	dimensionless	NOUN
fis-3231	98	8	position	position	NOUN
fis-3231	98	9	of	of	ADP
fis-3231	98	10	the	the	DET
fis-3231	98	11	lumped	lump	VERB
fis-3231	98	12	mass	mass	PROPN
fis-3231	98	13	.	.	PUNCT
fis-3231	98	14			NOUN
fis-3231	99	1			PRON
fis-3231	99	2	m	m	VERB
fis-3231	99	3	ml	ml	ADJ
fis-3231	100	1	and	and	CCONJ
fis-3231	100	2			NUM
fis-3231	100	3	3	3	NUM
fis-3231	100	4	j	j	PROPN
fis-3231	100	5	j	j	PROPN
fis-3231	100	6	ml	ml	PROPN
fis-3231	100	7	are	be	AUX
fis-3231	100	8	the	the	DET
fis-3231	100	9	inertia	inertia	NOUN
fis-3231	100	10	dimensionless	dimensionless	NOUN
fis-3231	100	11	parameters	parameter	NOUN
fis-3231	100	12	of	of	ADP
fis-3231	100	13	the	the	DET
fis-3231	100	14	lumped	lump	VERB
fis-3231	100	15	mass	mass	PROPN
fis-3231	100	16	.	.	PUNCT
fis-3231	101	1	the	the	DET
fis-3231	101	2	term	term	NOUN
fis-3231	101	3			PROPN
fis-3231	101	4			PUNCT
fis-3231	101	5	,	,	PUNCT
fis-3231	101	6	k	k	PROPN
fis-3231	101	7	t	t	PROPN
fis-3231	101	8	is	be	AUX
fis-3231	101	9	the	the	DET
fis-3231	101	10	curvature	curvature	NOUN
fis-3231	101	11	of	of	ADP
fis-3231	101	12	the	the	DET
fis-3231	101	13	neutral	neutral	ADJ
fis-3231	101	14	axis	axis	NOUN
fis-3231	101	15	of	of	ADP
fis-3231	101	16	the	the	DET
fis-3231	101	17	beam	beam	NOUN
fis-3231	101	18	,	,	PUNCT
fis-3231	101	19	and	and	CCONJ
fis-3231	101	20	is	be	AUX
fis-3231	101	21	given	give	VERB
fis-3231	101	22	by	by	ADP
fis-3231	101	23	:	:	PUNCT
fis-3231	101	24			PROPN
fis-3231	101	25	'	'	PUNCT
fis-3231	101	26	k	k	X
fis-3231	101	27	(	(	PUNCT
fis-3231	101	28	4	4	X
fis-3231	101	29	)	)	PUNCT
fis-3231	101	30	here	here	ADV
fis-3231	101	31	prime	prime	PROPN
fis-3231	101	32	means	mean	VERB
fis-3231	101	33	derivative	derivative	ADJ
fis-3231	101	34	with	with	ADP
fis-3231	101	35	respect	respect	NOUN
fis-3231	101	36	to	to	ADP
fis-3231	101	37			NOUN
fis-3231	101	38	,	,	PUNCT
fis-3231	101	39	and	and	CCONJ
fis-3231	101	40			PROPN
fis-3231	101	41	is	be	AUX
fis-3231	101	42	the	the	DET
fis-3231	101	43	rotation	rotation	NOUN
fis-3231	101	44	(	(	PUNCT
fis-3231	101	45	equal	equal	ADJ
fis-3231	101	46	to	to	ADP
fis-3231	101	47	the	the	DET
fis-3231	101	48	beam	beam	NOUN
fis-3231	101	49	slope	slope	NOUN
fis-3231	101	50	,	,	PUNCT
fis-3231	101	51	since	since	SCONJ
fis-3231	101	52	we	we	PRON
fis-3231	101	53	are	be	AUX
fis-3231	101	54	considering	consider	VERB
fis-3231	101	55	an	an	DET
fis-3231	101	56	euler	euler	VERB
fis-3231	101	57	-	-	PUNCT
fis-3231	101	58	bernoulli	bernoulli	NOUN
fis-3231	101	59	beam	beam	NOUN
fis-3231	101	60	)	)	PUNCT
fis-3231	102	1	[	[	X
fis-3231	102	2	24	24	NUM
fis-3231	102	3	]	]	PUNCT
fis-3231	102	4	,	,	PUNCT
fis-3231	102	5			PROPN
fis-3231	102	6			SYM
fis-3231	102	7			NOUN
fis-3231	102	8			VERB
fis-3231	102	9			X
fis-3231	102	10			X
fis-3231	102	11			PROPN
fis-3231	102	12			PROPN
fis-3231	103	1			VERB
fis-3231	103	2			PROPN
fis-3231	104	1			NUM
fis-3231	104	2			NOUN
fis-3231	105	1	2	2	PROPN
fis-3231	105	2	2	2	NUM
fis-3231	105	3	2	2	NUM
fis-3231	105	4	'	'	PUNCT
fis-3231	105	5	''	''	PUNCT
fis-3231	105	6	'	'	PUNCT
fis-3231	105	7	'	'	PUNCT
fis-3231	105	8	'	'	PUNCT
fis-3231	105	9	'	'	NUM
fis-3231	105	10	1	1	NUM
fis-3231	105	11	tan	tan	PROPN
fis-3231	105	12	    	    	SPACE
fis-3231	105	13	tan	tan	PROPN
fis-3231	105	14	'	'	PUNCT
fis-3231	105	15	'	'	PUNCT
fis-3231	105	16	     	     	SPACE
fis-3231	105	17	'	'	PUNCT
fis-3231	105	18	'	'	PUNCT
fis-3231	105	19	cos	cos	PROPN
fis-3231	105	20	(	(	PUNCT
fis-3231	105	21	)	)	PUNCT
fis-3231	105	22	'	'	PUNCT
fis-3231	105	23	'	'	PUNCT
fis-3231	106	1	y	y	PROPN
fis-3231	106	2	y	y	PROPN
fis-3231	106	3	x	x	PUNCT
fis-3231	106	4	y	y	NOUN
fis-3231	106	5	x	x	PUNCT
fis-3231	106	6	x	x	PUNCT
fis-3231	106	7	x	x	SYM
fis-3231	106	8	y	y	PROPN
fis-3231	106	9	(	(	PUNCT
fis-3231	106	10	5	5	NUM
fis-3231	106	11	)	)	PUNCT
fis-3231	106	12	in	in	ADP
fis-3231	106	13	this	this	DET
fis-3231	106	14	work	work	NOUN
fis-3231	106	15	,	,	PUNCT
fis-3231	106	16	as	as	ADP
fis-3231	106	17	in	in	ADP
fis-3231	106	18	[	[	X
fis-3231	106	19	6	6	NUM
fis-3231	106	20	]	]	PUNCT
fis-3231	106	21	,	,	PUNCT
fis-3231	106	22	the	the	DET
fis-3231	106	23	axis	axis	NOUN
fis-3231	106	24	of	of	ADP
fis-3231	106	25	the	the	DET
fis-3231	106	26	beam	beam	NOUN
fis-3231	106	27	is	be	AUX
fis-3231	106	28	considered	consider	VERB
fis-3231	106	29	inextensible	inextensible	ADJ
fis-3231	106	30	.	.	PUNCT
fis-3231	107	1	this	this	PRON
fis-3231	107	2	implies	imply	VERB
fis-3231	107	3	that	that	SCONJ
fis-3231	107	4	:	:	PUNCT
fis-3231	107	5			PROPN
fis-3231	107	6	2	2	ADP
fis-3231	107	7	2	2	NUM
fis-3231	107	8	'	'	PART
fis-3231	107	9	'	'	PUNCT
fis-3231	108	1	1x	1x	PROPN
fis-3231	108	2	y	y	PROPN
fis-3231	108	3	(	(	PUNCT
fis-3231	108	4	6	6	NUM
fis-3231	108	5	)	)	PUNCT
fis-3231	108	6	namely	namely	ADV
fis-3231	108	7	,	,	PUNCT
fis-3231	108	8			PROPN
fis-3231	108	9			PROPN
fis-3231	108	10			PROPN
fis-3231	108	11			PROPN
fis-3231	108	12			PROPN
fis-3231	108	13			PROPN
fis-3231	108	14			PROPN
fis-3231	108	15			VERB
fis-3231	108	16	2	2	NUM
fis-3231	108	17	4	4	NUM
fis-3231	108	18	6	6	NUM
fis-3231	108	19	2	2	NUM
fis-3231	108	20	'	'	PUNCT
fis-3231	108	21	'	'	PUNCT
fis-3231	108	22	'	'	PUNCT
fis-3231	108	23	'	'	NUM
fis-3231	108	24	1	1	NUM
fis-3231	108	25	'	'	NUM
fis-3231	108	26	1	1	NUM
fis-3231	108	27	...	...	SYM
fis-3231	108	28	2	2	NUM
fis-3231	108	29	8	8	NUM
fis-3231	108	30	16	16	NUM
fis-3231	108	31	y	y	NOUN
fis-3231	108	32	y	y	PROPN
fis-3231	108	33	y	y	PROPN
fis-3231	108	34	x	x	SYM
fis-3231	108	35	y	y	PROPN
fis-3231	108	36	(	(	PUNCT
fis-3231	108	37	7	7	NUM
fis-3231	108	38	)	)	PUNCT
fis-3231	108	39	where	where	SCONJ
fis-3231	108	40	in	in	ADP
fis-3231	108	41	the	the	DET
fis-3231	108	42	last	last	ADJ
fis-3231	108	43	expression	expression	NOUN
fis-3231	108	44	a	a	DET
fis-3231	108	45	taylor	taylor	NOUN
fis-3231	108	46	approximation	approximation	NOUN
fis-3231	108	47	is	be	AUX
fis-3231	108	48	considered	consider	VERB
fis-3231	108	49	.	.	PUNCT
fis-3231	109	1	by	by	ADP
fis-3231	109	2	means	mean	NOUN
fis-3231	109	3	of	of	ADP
fis-3231	109	4	eqn.(7	eqn.(7	NOUN
fis-3231	109	5	)	)	PUNCT
fis-3231	109	6	we	we	PRON
fis-3231	109	7	obtain	obtain	VERB
fis-3231	109	8	,	,	PUNCT
fis-3231	109	9	up	up	ADP
fis-3231	109	10	to	to	ADP
fis-3231	109	11	the	the	DET
fis-3231	109	12	due	due	ADJ
fis-3231	109	13	order	order	NOUN
fis-3231	109	14	,	,	PUNCT
fis-3231	109	15			PROPN
fis-3231	110	1			PROPN
fis-3231	110	2			PROPN
fis-3231	110	3			CCONJ
fis-3231	110	4			PUNCT
fis-3231	110	5	3	3	NUM
fis-3231	110	6	5	5	NUM
fis-3231	110	7	'	'	PART
fis-3231	110	8	3	3	NUM
fis-3231	110	9	'	'	PUNCT
fis-3231	110	10	'	'	PUNCT
fis-3231	110	11	...	...	PUNCT
fis-3231	111	1	6	6	NUM
fis-3231	111	2	40	40	NUM
fis-3231	111	3	y	y	NOUN
fis-3231	111	4	y	y	PROPN
fis-3231	111	5	y	y	PROPN
fis-3231	111	6	(	(	PUNCT
fis-3231	111	7	8)	8)	NUM
fis-3231	111	8			NOUN
fis-3231	111	9			VERB
fis-3231	111	10			PROPN
fis-3231	111	11			ADV
fis-3231	111	12			ADJ
fis-3231	111	13			VERB
fis-3231	111	14	2	2	SYM
fis-3231	111	15	2	2	NUM
fis-3231	111	16	2	2	NUM
fis-3231	111	17	4	4	NUM
fis-3231	111	18	'	'	PART
fis-3231	111	19	1	1	NUM
fis-3231	111	20	'	'	PUNCT
fis-3231	111	21	'	'	PUNCT
fis-3231	111	22	...	...	PUNCT
fis-3231	112	1	y	y	PROPN
fis-3231	112	2	y	y	PROPN
fis-3231	112	3	y	y	PROPN
fis-3231	112	4	(	(	PUNCT
fis-3231	112	5	9	9	NUM
fis-3231	112	6	)	)	PUNCT
fis-3231	112	7	(	(	PUNCT
fis-3231	112	8	use	use	NOUN
fis-3231	112	9	is	be	AUX
fis-3231	112	10	made	make	VERB
fis-3231	112	11	of	of	ADP
fis-3231	112	12	the	the	DET
fis-3231	112	13	boundary	boundary	ADJ
fis-3231	112	14	condition	condition	NOUN
fis-3231	112	15			NOUN
fis-3231	112	16			PROPN
fis-3231	112	17	0	0	PROPN
fis-3231	112	18	0x	0x	NOUN
fis-3231	112	19	)	)	PUNCT
fis-3231	112	20			NOUN
fis-3231	112	21			NOUN
fis-3231	113	1			PROPN
fis-3231	114	1			PROPN
fis-3231	114	2			ADV
fis-3231	114	3			PUNCT
fis-3231	114	4			PROPN
fis-3231	114	5			PROPN
fis-3231	114	6			PROPN
fis-3231	114	7			PROPN
fis-3231	114	8			NOUN
fis-3231	114	9	2	2	NUM
fis-3231	114	10	4	4	NUM
fis-3231	114	11	2	2	NUM
fis-3231	114	12	''	''	PUNCT
fis-3231	114	13	'	'	NUM
fis-3231	114	14	3	3	NUM
fis-3231	114	15	'	'	PUNCT
fis-3231	114	16	''	''	PUNCT
fis-3231	114	17	1	1	NUM
fis-3231	114	18	...	...	SYM
fis-3231	114	19	2	2	NUM
fis-3231	114	20	81	81	NUM
fis-3231	114	21	'	'	PUNCT
fis-3231	114	22	y	y	PROPN
fis-3231	114	23	y	y	PROPN
fis-3231	114	24	y	y	PROPN
fis-3231	114	25	k	k	PROPN
fis-3231	114	26	y	y	PROPN
fis-3231	114	27	y	y	PROPN
fis-3231	114	28	(	(	PUNCT
fis-3231	114	29	10	10	NUM
fis-3231	114	30	)	)	PUNCT
fis-3231	114	31	m.	m.	NOUN
fis-3231	114	32	utzeri	utzeri	PROPN
fis-3231	114	33	et	et	PROPN
fis-3231	114	34	alii	alii	PROPN
fis-3231	114	35	,	,	PUNCT
fis-3231	114	36	frattura	frattura	PROPN
fis-3231	114	37	ed	ed	PROPN
fis-3231	114	38	integrità	integrità	PROPN
fis-3231	114	39	strutturale	strutturale	PROPN
fis-3231	114	40	,	,	PUNCT
fis-3231	114	41	58	58	NUM
fis-3231	114	42	(	(	PUNCT
fis-3231	114	43	2021	2021	NUM
fis-3231	114	44	)	)	PUNCT
fis-3231	114	45	254	254	NUM
fis-3231	114	46	-	-	SYM
fis-3231	114	47	271	271	NUM
fis-3231	114	48	;	;	PUNCT
fis-3231	114	49	doi	doi	NOUN
fis-3231	114	50	:	:	PUNCT
fis-3231	114	51	10.3221	10.3221	NUM
fis-3231	114	52	/	/	SYM
fis-3231	114	53	igf	igf	PROPN
fis-3231	114	54	-	-	PUNCT
fis-3231	114	55	esis.58.19	esis.58.19	PROPN
fis-3231	114	56	258	258	NUM
fis-3231	114	57	note	note	NOUN
fis-3231	114	58	that	that	SCONJ
fis-3231	114	59	the	the	DET
fis-3231	114	60	higher	high	ADJ
fis-3231	114	61	order	order	NOUN
fis-3231	114	62	terms	term	NOUN
fis-3231	114	63	are	be	AUX
fis-3231	114	64	positive	positive	ADJ
fis-3231	114	65	,	,	PUNCT
fis-3231	114	66	meaning	mean	VERB
fis-3231	114	67	that	that	SCONJ
fis-3231	114	68	the	the	DET
fis-3231	114	69	curvature	curvature	NOUN
fis-3231	114	70	increases	increase	VERB
fis-3231	114	71	(	(	PUNCT
fis-3231	114	72	with	with	ADP
fis-3231	114	73	respect	respect	NOUN
fis-3231	114	74	to	to	ADP
fis-3231	114	75	the	the	DET
fis-3231	114	76	linear	linear	ADJ
fis-3231	114	77	case	case	NOUN
fis-3231	114	78	)	)	PUNCT
fis-3231	114	79	for	for	ADP
fis-3231	114	80	increasing	increase	VERB
fis-3231	114	81	amplitudes	amplitude	NOUN
fis-3231	114	82	.	.	PUNCT
fis-3231	115	1	this	this	PRON
fis-3231	115	2	is	be	AUX
fis-3231	115	3	the	the	DET
fis-3231	115	4	motivation	motivation	NOUN
fis-3231	115	5	for	for	ADP
fis-3231	115	6	the	the	DET
fis-3231	115	7	hardening	harden	VERB
fis-3231	115	8	behaviour	behaviour	NOUN
fis-3231	115	9	due	due	ADP
fis-3231	115	10	to	to	ADP
fis-3231	115	11	the	the	DET
fis-3231	115	12	geometric	geometric	ADJ
fis-3231	115	13	stiffness	stiffness	NOUN
fis-3231	115	14	nonlinearity	nonlinearity	NOUN
fis-3231	115	15	.	.	PUNCT
fis-3231	116	1	the	the	DET
fis-3231	116	2	expression	expression	NOUN
fis-3231	116	3	of	of	ADP
fis-3231	116	4	the	the	DET
fis-3231	116	5	kinetic	kinetic	ADJ
fis-3231	116	6	energy	energy	NOUN
fis-3231	116	7	of	of	ADP
fis-3231	116	8	the	the	DET
fis-3231	116	9	system	system	NOUN
fis-3231	116	10	then	then	ADV
fis-3231	116	11	becomes	become	VERB
fis-3231	116	12	:	:	PUNCT
fis-3231	116	13			NOUN
fis-3231	116	14			PUNCT
fis-3231	117	1			PROPN
fis-3231	117	2			X
fis-3231	117	3			NOUN
fis-3231	117	4			PRON
fis-3231	117	5			AUX
fis-3231	117	6			VERB
fis-3231	117	7			X
fis-3231	117	8			NOUN
fis-3231	117	9			NOUN
fis-3231	117	10			ADP
fis-3231	118	1			PROPN
fis-3231	118	2			PROPN
fis-3231	118	3			PROPN
fis-3231	118	4			PUNCT
fis-3231	118	5			PROPN
fis-3231	118	6			PROPN
fis-3231	118	7			ADV
fis-3231	118	8			PUNCT
fis-3231	118	9			PROPN
fis-3231	118	10			PROPN
fis-3231	118	11			PROPN
fis-3231	118	12			VERB
fis-3231	119	1			PROPN
fis-3231	119	2			NOUN
fis-3231	119	3			PROPN
fis-3231	119	4			PROPN
fis-3231	119	5			PUNCT
fis-3231	119	6			NOUN
fis-3231	119	7			PROPN
fis-3231	119	8			PROPN
fis-3231	119	9			PROPN
fis-3231	119	10			VERB
fis-3231	119	11			ADP
fis-3231	119	12			VERB
fis-3231	119	13			PUNCT
fis-3231	119	14			PROPN
fis-3231	119	15			NOUN
fis-3231	119	16			X
fis-3231	119	17			PROPN
fis-3231	119	18			NOUN
fis-3231	120	1			NOUN
fis-3231	120	2			PROPN
fis-3231	120	3			PROPN
fis-3231	120	4			PROPN
fis-3231	120	5			NUM
fis-3231	120	6			ADV
fis-3231	120	7			PROPN
fis-3231	120	8			PROPN
fis-3231	120	9			X
fis-3231	120	10			NOUN
fis-3231	120	11			PUNCT
fis-3231	120	12			NOUN
fis-3231	120	13			NOUN
fis-3231	120	14			NOUN
fis-3231	120	15			NOUN
fis-3231	120	16			NOUN
fis-3231	120	17	2	2	NUM
fis-3231	120	18	3	3	NUM
fis-3231	120	19	53	53	NUM
fis-3231	120	20	1	1	NUM
fis-3231	120	21	2	2	NUM
fis-3231	120	22	0	0	NUM
fis-3231	120	23	0	0	NUM
fis-3231	120	24	2	2	NUM
fis-3231	120	25	3	3	NUM
fis-3231	120	26	5	5	NUM
fis-3231	120	27	2	2	NUM
fis-3231	120	28	0	0	NUM
fis-3231	120	29	2	2	NUM
fis-3231	120	30	2	2	NUM
fis-3231	120	31	4	4	NUM
fis-3231	120	32	'	'	NUM
fis-3231	120	33	3	3	NUM
fis-3231	120	34	'	'	PUNCT
fis-3231	120	35	'	'	PUNCT
fis-3231	120	36	'	'	NUM
fis-3231	120	37	2	2	NUM
fis-3231	120	38	2	2	NUM
fis-3231	120	39	8	8	NUM
fis-3231	120	40	'	'	NUM
fis-3231	120	41	3	3	NUM
fis-3231	120	42	'	'	PUNCT
fis-3231	120	43	'	'	PUNCT
fis-3231	120	44	'	'	NUM
fis-3231	120	45	2	2	NUM
fis-3231	120	46	8	8	NUM
fis-3231	120	47	'	'	NUM
fis-3231	120	48	1	1	NUM
fis-3231	120	49	'	'	PUNCT
fis-3231	120	50	'	'	PUNCT
fis-3231	120	51	k	k	PROPN
fis-3231	120	52	y	y	PROPN
fis-3231	120	53	yml	yml	PROPN
fis-3231	121	1	e	e	PROPN
fis-3231	121	2	y	y	PROPN
fis-3231	121	3	y	y	PROPN
fis-3231	121	4	y	y	PROPN
fis-3231	121	5	d	d	PROPN
fis-3231	122	1	d	d	X
fis-3231	122	2	y	y	PROPN
fis-3231	122	3	y	y	PROPN
fis-3231	122	4	y	y	PROPN
fis-3231	122	5	y	y	PROPN
fis-3231	122	6	y	y	PROPN
fis-3231	123	1	d	d	PROPN
fis-3231	123	2	j	j	PROPN
fis-3231	123	3	y	y	PROPN
fis-3231	123	4	y	y	PROPN
fis-3231	123	5	y	y	PROPN
fis-3231	123	6	(	(	PUNCT
fis-3231	123	7	11	11	NUM
fis-3231	123	8	)	)	PUNCT
fis-3231	123	9	likewise	likewise	ADV
fis-3231	123	10	,	,	PUNCT
fis-3231	123	11	the	the	DET
fis-3231	123	12	potential	potential	ADJ
fis-3231	123	13	energy	energy	NOUN
fis-3231	123	14	becomes	become	VERB
fis-3231	123	15	:	:	PUNCT
fis-3231	123	16			X
fis-3231	123	17			NOUN
fis-3231	123	18			PROPN
fis-3231	123	19			PROPN
fis-3231	123	20			ADV
fis-3231	123	21			PROPN
fis-3231	123	22			PROPN
fis-3231	123	23			PROPN
fis-3231	123	24			NOUN
fis-3231	123	25			PUNCT
fis-3231	123	26	22	22	NUM
fis-3231	123	27	41	41	NUM
fis-3231	123	28	2	2	NUM
fis-3231	123	29	0	0	NUM
fis-3231	123	30	'	'	PART
fis-3231	123	31	3	3	NUM
fis-3231	123	32	'	'	PUNCT
fis-3231	123	33	'	'	PUNCT
fis-3231	123	34	'	'	NUM
fis-3231	123	35	1	1	NUM
fis-3231	123	36	2	2	NUM
fis-3231	123	37	2	2	NUM
fis-3231	123	38	8p	8p	NUM
fis-3231	123	39	y	y	PROPN
fis-3231	123	40	yei	yei	PROPN
fis-3231	123	41	e	e	PROPN
fis-3231	123	42	y	y	PROPN
fis-3231	123	43	d	d	PROPN
fis-3231	123	44	l	l	PROPN
fis-3231	124	1	(	(	PUNCT
fis-3231	124	2	12	12	NUM
fis-3231	124	3	)	)	PUNCT
fis-3231	124	4	the	the	DET
fis-3231	124	5	vibration	vibration	NOUN
fis-3231	124	6	motion	motion	NOUN
fis-3231	124	7	is	be	AUX
fis-3231	124	8	assumed	assume	VERB
fis-3231	124	9	to	to	PART
fis-3231	124	10	have	have	VERB
fis-3231	124	11	linear	linear	ADJ
fis-3231	124	12	modes	mode	NOUN
fis-3231	124	13	.	.	PUNCT
fis-3231	125	1	the	the	DET
fis-3231	125	2	vibration	vibration	NOUN
fis-3231	125	3	of	of	ADP
fis-3231	125	4	the	the	DET
fis-3231	125	5	beam	beam	NOUN
fis-3231	125	6	with	with	ADP
fis-3231	125	7	a	a	DET
fis-3231	125	8	concentrate	concentrate	NOUN
fis-3231	125	9	intermediate	intermediate	ADJ
fis-3231	125	10	mass	mass	NOUN
fis-3231	125	11	is	be	AUX
fis-3231	125	12	governed	govern	VERB
fis-3231	125	13	by	by	ADP
fis-3231	125	14	the	the	DET
fis-3231	125	15	equation	equation	NOUN
fis-3231	125	16			PROPN
fis-3231	125	17			PROPN
fis-3231	125	18			PROPN
fis-3231	125	19			PROPN
fis-3231	125	20			NOUN
fis-3231	125	21			X
fis-3231	125	22			VERB
fis-3231	125	23			PROPN
fis-3231	125	24	¨	¨	NOUN
fis-3231	125	25	'	'	PUNCT
fis-3231	125	26	''	''	PUNCT
fis-3231	125	27	'	'	PUNCT
fis-3231	125	28	1	1	NUM
fis-3231	125	29	0	0	NUM
fis-3231	125	30	m	m	VERB
fis-3231	125	31	y	y	PROPN
fis-3231	125	32	y	y	INTJ
fis-3231	125	33	ei	ei	X
fis-3231	125	34	(	(	PUNCT
fis-3231	125	35	13	13	NUM
fis-3231	125	36	)	)	PUNCT
fis-3231	125	37	assuming	assume	VERB
fis-3231	125	38	a	a	DET
fis-3231	125	39	solution	solution	NOUN
fis-3231	125	40	of	of	ADP
fis-3231	125	41	eqn.(13	eqn.(13	PROPN
fis-3231	125	42	)	)	PUNCT
fis-3231	125	43	in	in	ADP
fis-3231	125	44	the	the	DET
fis-3231	125	45	form	form	NOUN
fis-3231	125	46			NOUN
fis-3231	125	47			SYM
fis-3231	125	48			NOUN
fis-3231	125	49			PROPN
fis-3231	126	1			DET
fis-3231	126	2			PROPN
fis-3231	126	3	,	,	PUNCT
fis-3231	126	4	φ	φ	PROPN
fis-3231	126	5	i	i	PRON
fis-3231	127	1	ty	ty	INTJ
fis-3231	127	2	t	t	X
fis-3231	127	3	e	e	X
fis-3231	127	4	(	(	PUNCT
fis-3231	127	5	14	14	NUM
fis-3231	127	6	)	)	PUNCT
fis-3231	127	7	substituting	substitute	VERB
fis-3231	127	8	the	the	DET
fis-3231	127	9	eqn.(14	eqn.(14	PROPN
fis-3231	127	10	)	)	PUNCT
fis-3231	127	11	into	into	ADP
fis-3231	127	12	eqn.(13	eqn.(13	PROPN
fis-3231	127	13	)	)	PUNCT
fis-3231	127	14	gives	give	VERB
fis-3231	127	15			NOUN
fis-3231	127	16			PUNCT
fis-3231	127	17			NOUN
fis-3231	127	18			PUNCT
fis-3231	127	19			NOUN
fis-3231	128	1			X
fis-3231	128	2			PROPN
fis-3231	128	3			ADJ
fis-3231	128	4			X
fis-3231	128	5			NUM
fis-3231	128	6			NOUN
fis-3231	128	7			ADV
fis-3231	128	8			PROPN
fis-3231	128	9			PROPN
fis-3231	128	10	2	2	NUM
fis-3231	128	11	φ	φ	NOUN
fis-3231	128	12	'	'	PUNCT
fis-3231	128	13	''	''	PUNCT
fis-3231	128	14	'	'	PART
fis-3231	128	15	1	1	NUM
fis-3231	128	16	φ	φ	NUM
fis-3231	128	17	0	0	NUM
fis-3231	128	18	m	m	VERB
fis-3231	128	19	ei	ei	X
fis-3231	128	20	(	(	PUNCT
fis-3231	128	21	15	15	NUM
fis-3231	128	22	)	)	PUNCT
fis-3231	128	23	and	and	CCONJ
fis-3231	128	24	the	the	DET
fis-3231	128	25	boundary	boundary	ADJ
fis-3231	128	26	condition	condition	NOUN
fis-3231	128	27	at	at	ADP
fis-3231	128	28			PROPN
fis-3231	128	29	0x	0x	NOUN
fis-3231	128	30	and	and	CCONJ
fis-3231	128	31			NOUN
fis-3231	128	32	1x	1x	NUM
fis-3231	128	33	are	be	AUX
fis-3231	128	34			NOUN
fis-3231	128	35			PUNCT
fis-3231	128	36			NOUN
fis-3231	128	37			SYM
fis-3231	128	38			NOUN
fis-3231	128	39			PUNCT
fis-3231	128	40			NOUN
fis-3231	129	1			PUNCT
fis-3231	130	1			NUM
fis-3231	131	1			NUM
fis-3231	131	2	φ	φ	NOUN
fis-3231	131	3	0	0	NUM
fis-3231	131	4	0	0	NUM
fis-3231	131	5	    	    	SPACE
fis-3231	131	6	φ	φ	X
fis-3231	131	7	0	0	NUM
fis-3231	131	8	'	'	PART
fis-3231	131	9	0	0	NUM
fis-3231	131	10	     	     	SPACE
fis-3231	131	11	φ	φ	NUM
fis-3231	131	12	1	1	NUM
fis-3231	131	13	''	''	SYM
fis-3231	131	14	0	0	NUM
fis-3231	131	15	     	     	SPACE
fis-3231	131	16	φ	φ	NUM
fis-3231	131	17	1	1	NUM
fis-3231	131	18	'	'	NOUN
fis-3231	131	19	''	''	PUNCT
fis-3231	131	20	0ei	0ei	ADJ
fis-3231	131	21	ei	ei	X
fis-3231	131	22	(	(	PUNCT
fis-3231	131	23	16	16	NUM
fis-3231	131	24	)	)	PUNCT
fis-3231	131	25	taking	take	VERB
fis-3231	131	26	the	the	DET
fis-3231	131	27	laplace	laplace	NOUN
fis-3231	131	28	transformation	transformation	NOUN
fis-3231	131	29	of	of	ADP
fis-3231	131	30	eqn	eqn	PROPN
fis-3231	131	31	.	.	PUNCT
fis-3231	132	1	(	(	PUNCT
fis-3231	132	2	15	15	NUM
fis-3231	132	3	)	)	PUNCT
fis-3231	132	4	,	,	PUNCT
fis-3231	132	5	using	use	VERB
fis-3231	132	6	the	the	DET
fis-3231	132	7	boundary	boundary	ADJ
fis-3231	132	8	conditions	condition	NOUN
fis-3231	132	9	(	(	PUNCT
fis-3231	132	10	16	16	NUM
fis-3231	132	11	)	)	PUNCT
fis-3231	132	12	and	and	CCONJ
fis-3231	132	13	then	then	ADV
fis-3231	132	14	taking	take	VERB
fis-3231	132	15	the	the	DET
fis-3231	132	16	inverse	inverse	ADJ
fis-3231	132	17	laplace	laplace	NOUN
fis-3231	132	18	transformation	transformation	NOUN
fis-3231	132	19	yields	yield	VERB
fis-3231	132	20	the	the	DET
fis-3231	132	21	eigenfunction	eigenfunction	NOUN
fis-3231	132	22	of	of	ADP
fis-3231	132	23	the	the	DET
fis-3231	132	24	beam	beam	NOUN
fis-3231	132	25	with	with	ADP
fis-3231	132	26	an	an	DET
fis-3231	132	27	intermediate	intermediate	ADJ
fis-3231	132	28	concentrated	concentrated	ADJ
fis-3231	132	29	mass	mass	ADJ
fis-3231	132	30			NOUN
fis-3231	132	31			SYM
fis-3231	132	32			NOUN
fis-3231	133	1			SYM
fis-3231	133	2			NOUN
fis-3231	133	3			PUNCT
fis-3231	133	4			NOUN
fis-3231	134	1			NOUN
fis-3231	135	1			PUNCT
fis-3231	135	2			NOUN
fis-3231	135	3			SYM
fis-3231	135	4			NOUN
fis-3231	135	5			PUNCT
fis-3231	135	6			NOUN
fis-3231	136	1			NOUN
fis-3231	137	1			PUNCT
fis-3231	137	2			NOUN
fis-3231	137	3			SYM
fis-3231	137	4			NOUN
fis-3231	137	5			PUNCT
fis-3231	137	6			NOUN
fis-3231	138	1			NOUN
fis-3231	139	1			PUNCT
fis-3231	139	2			PROPN
fis-3231	139	3			NOUN
fis-3231	139	4			PROPN
fis-3231	140	1			PROPN
fis-3231	140	2			X
fis-3231	141	1			NOUN
fis-3231	141	2			X
fis-3231	142	1			X
fis-3231	142	2			X
fis-3231	142	3			NUM
fis-3231	142	4			NOUN
fis-3231	142	5			NOUN
fis-3231	142	6			NUM
fis-3231	142	7			X
fis-3231	142	8			NUM
fis-3231	142	9			X
fis-3231	142	10			NUM
fis-3231	142	11			PROPN
fis-3231	142	12			PROPN
fis-3231	142	13			VERB
fis-3231	142	14			PROPN
fis-3231	142	15			CCONJ
fis-3231	142	16			PROPN
fis-3231	142	17			PROPN
fis-3231	142	18			PROPN
fis-3231	142	19			NOUN
fis-3231	142	20	2	2	NUM
fis-3231	142	21	3	3	NUM
fis-3231	142	22	2	2	NUM
fis-3231	142	23	φ	φ	NOUN
fis-3231	142	24	0	0	NUM
fis-3231	142	25	''	''	PUNCT
fis-3231	142	26	φ	φ	PROPN
fis-3231	142	27	0	0	NUM
fis-3231	142	28	'	'	PUNCT
fis-3231	142	29	''	''	PUNCT
fis-3231	143	1	φ	φ	PROPN
fis-3231	143	2	cosh	cosh	PROPN
fis-3231	143	3	cos	cos	PROPN
fis-3231	143	4	sinh	sinh	PROPN
fis-3231	143	5	sin	sin	NOUN
fis-3231	143	6	2	2	NUM
fis-3231	143	7	2	2	NUM
fis-3231	143	8	φ	φ	PROPN
fis-3231	143	9	sinh	sinh	NOUN
fis-3231	143	10	sin	sin	NOUN
fis-3231	143	11	2	2	NUM
fis-3231	143	12	k	k	NOUN
fis-3231	143	13	kl	kl	INTJ
fis-3231	143	14	kl	kl	PROPN
fis-3231	143	15	k	k	PROPN
fis-3231	143	16	kl	kl	INTJ
fis-3231	143	17	kl	kl	INTJ
fis-3231	143	18	kl	kl	PROPN
fis-3231	143	19	h	h	PROPN
fis-3231	143	20	kl	kl	PROPN
fis-3231	143	21	kl	kl	PROPN
fis-3231	143	22	(	(	PUNCT
fis-3231	143	23	17	17	NUM
fis-3231	143	24	)	)	PUNCT
fis-3231	144	1	where	where	SCONJ
fis-3231	144	2			PROPN
fis-3231	144	3			NOUN
fis-3231	144	4	2	2	NUM
fis-3231	144	5	4	4	NUM
fis-3231	144	6	m	m	NOUN
fis-3231	144	7	k	k	NOUN
fis-3231	144	8	ei	ei	X
fis-3231	144	9	.	.	PUNCT
fis-3231	145	1	hence	hence	ADV
fis-3231	145	2	the	the	DET
fis-3231	145	3	unknown	unknown	ADJ
fis-3231	145	4	constants	constant	NOUN
fis-3231	145	5	0φ	0φ	NOUN
fis-3231	145	6	''	''	PUNCT
fis-3231	145	7	and	and	CCONJ
fis-3231	145	8	0φ	0φ	NUM
fis-3231	145	9	'	'	PUNCT
fis-3231	145	10	''	''	PUNCT
fis-3231	145	11	can	can	AUX
fis-3231	145	12	be	be	AUX
fis-3231	145	13	determined	determine	VERB
fis-3231	145	14	imposing	impose	VERB
fis-3231	145	15	the	the	DET
fis-3231	145	16	boundary	boundary	ADJ
fis-3231	145	17	condition	condition	NOUN
fis-3231	145	18	in	in	ADP
fis-3231	145	19	eqn.(17	eqn.(17	PROPN
fis-3231	145	20	)	)	PUNCT
fis-3231	145	21	.	.	PUNCT
fis-3231	146	1	substituting	substitute	VERB
fis-3231	146	2	0φ	0φ	NOUN
fis-3231	146	3	''	''	PUNCT
fis-3231	146	4	and	and	CCONJ
fis-3231	146	5	0φ	0φ	NUM
fis-3231	146	6	'	'	PUNCT
fis-3231	146	7	''	''	PUNCT
fis-3231	146	8	into	into	ADP
fis-3231	146	9	eqn	eqn	NOUN
fis-3231	146	10	.	.	PUNCT
fis-3231	147	1	(	(	PUNCT
fis-3231	147	2	17	17	NUM
fis-3231	147	3	)	)	PUNCT
fis-3231	147	4	,	,	PUNCT
fis-3231	147	5	and	and	CCONJ
fis-3231	147	6	then	then	ADV
fis-3231	147	7	letting	let	VERB
fis-3231	147	8			NOUN
fis-3231	147	9			NOUN
fis-3231	147	10	to	to	PART
fis-3231	147	11	eliminate	eliminate	VERB
fis-3231	147	12			NOUN
fis-3231	147	13	φ	φ	NOUN
fis-3231	147	14	,	,	PUNCT
fis-3231	147	15	gives	give	VERB
fis-3231	147	16	the	the	DET
fis-3231	147	17	characteristic	characteristic	ADJ
fis-3231	147	18	equation	equation	NOUN
fis-3231	147	19	m.	m.	NOUN
fis-3231	147	20	utzeri	utzeri	PROPN
fis-3231	147	21	et	et	PROPN
fis-3231	147	22	alii	alii	PROPN
fis-3231	147	23	,	,	PUNCT
fis-3231	147	24	frattura	frattura	PROPN
fis-3231	147	25	ed	ed	PROPN
fis-3231	147	26	integrità	integrità	PROPN
fis-3231	147	27	strutturale	strutturale	PROPN
fis-3231	147	28	,	,	PUNCT
fis-3231	147	29	58	58	NUM
fis-3231	147	30	(	(	PUNCT
fis-3231	147	31	2021	2021	NUM
fis-3231	147	32	)	)	PUNCT
fis-3231	147	33	254	254	NUM
fis-3231	147	34	-	-	SYM
fis-3231	147	35	271	271	NUM
fis-3231	147	36	;	;	PUNCT
fis-3231	147	37	doi	doi	NOUN
fis-3231	147	38	:	:	PUNCT
fis-3231	147	39	10.3221	10.3221	NUM
fis-3231	147	40	/	/	SYM
fis-3231	147	41	igf	igf	PROPN
fis-3231	147	42	-	-	PUNCT
fis-3231	147	43	esis.58.19	esis.58.19	PROPN
fis-3231	147	44	259	259	NUM
fis-3231	147	45			NOUN
fis-3231	147	46			SYM
fis-3231	147	47			NOUN
fis-3231	147	48			SYM
fis-3231	147	49			NOUN
fis-3231	147	50			SYM
fis-3231	147	51			NOUN
fis-3231	147	52			SYM
fis-3231	147	53			NOUN
fis-3231	147	54			PUNCT
fis-3231	147	55			NOUN
fis-3231	148	1			NOUN
fis-3231	149	1			PUNCT
fis-3231	149	2			NOUN
fis-3231	149	3			PUNCT
fis-3231	149	4			NOUN
fis-3231	149	5			NOUN
fis-3231	150	1			PUNCT
fis-3231	150	2			NOUN
fis-3231	150	3			SYM
fis-3231	150	4			NOUN
fis-3231	150	5			SYM
fis-3231	150	6			NOUN
fis-3231	150	7			PUNCT
fis-3231	150	8			NOUN
fis-3231	151	1			NOUN
fis-3231	152	1			PUNCT
fis-3231	152	2			NOUN
fis-3231	152	3			PUNCT
fis-3231	152	4			NOUN
fis-3231	152	5			NOUN
fis-3231	153	1			PROPN
fis-3231	153	2			NOUN
fis-3231	153	3			NUM
fis-3231	153	4			NUM
fis-3231	153	5			NUM
fis-3231	153	6			NUM
fis-3231	153	7			NUM
fis-3231	153	8			NUM
fis-3231	153	9			ADV
fis-3231	153	10			PUNCT
fis-3231	153	11			PROPN
fis-3231	153	12			ADV
fis-3231	153	13			PUNCT
fis-3231	153	14			PROPN
fis-3231	153	15			PROPN
fis-3231	153	16			PROPN
fis-3231	153	17	1	1	NUM
fis-3231	153	18	cos	cos	ADP
fis-3231	153	19	cosh	cosh	PROPN
fis-3231	153	20	(	(	PUNCT
fis-3231	153	21	cos	cos	PROPN
fis-3231	153	22	sinh	sinh	PROPN
fis-3231	153	23	cosh	cosh	PROPN
fis-3231	153	24	sin	sin	PROPN
fis-3231	154	1	cos	cos	PROPN
fis-3231	154	2	cosh	cosh	PROPN
fis-3231	154	3	1	1	NUM
fis-3231	154	4	2	2	NUM
fis-3231	154	5	cos	cos	PROPN
fis-3231	154	6	sinh	sinh	NOUN
fis-3231	154	7	cosh	cosh	PROPN
fis-3231	154	8	sin	sin	PROPN
fis-3231	154	9	cos	cos	PROPN
fis-3231	154	10	cosh	cosh	PROPN
fis-3231	154	11	1	1	NUM
fis-3231	154	12	)	)	PUNCT
fis-3231	154	13	0	0	PUNCT
fis-3231	155	1	kl	kl	INTJ
fis-3231	155	2	kl	kl	INTJ
fis-3231	155	3	kl	kl	INTJ
fis-3231	155	4	kl	kl	INTJ
fis-3231	155	5	kl	kl	AUX
fis-3231	155	6	kl	kl	AUX
fis-3231	155	7	kl	kl	X
fis-3231	155	8	bk	bk	X
fis-3231	155	9	bk	bk	NOUN
fis-3231	155	10	bk	bk	NOUN
fis-3231	155	11	bk	bk	NOUN
fis-3231	155	12	bk	bk	NOUN
fis-3231	155	13	bk	bk	NOUN
fis-3231	155	14	kl	kl	PROPN
fis-3231	155	15	kl	kl	PROPN
fis-3231	155	16	(	(	PUNCT
fis-3231	155	17	18	18	NUM
fis-3231	155	18	)	)	PUNCT
fis-3231	155	19	where	where	SCONJ
fis-3231	155	20			PROPN
fis-3231	155	21			SYM
fis-3231	155	22	1b	1b	X
fis-3231	155	23	l	l	X
fis-3231	156	1	[	[	X
fis-3231	156	2	25	25	NUM
fis-3231	156	3	]	]	PUNCT
fis-3231	156	4	.	.	PUNCT
fis-3231	157	1	note	note	VERB
fis-3231	157	2	that	that	SCONJ
fis-3231	157	3	the	the	DET
fis-3231	157	4			PROPN
fis-3231	157	5	φ	φ	PROPN
fis-3231	157	6	guarantees	guarantee	VERB
fis-3231	157	7	that	that	SCONJ
fis-3231	157	8			NOUN
fis-3231	157	9			PRON
fis-3231	157	10	φ	φ	NOUN
fis-3231	157	11	1max	1max	NUM
fis-3231	157	12	.	.	PUNCT
fis-3231	158	1	the	the	DET
fis-3231	158	2	eqn.(18	eqn.(18	PROPN
fis-3231	158	3	)	)	PUNCT
fis-3231	158	4	can	can	AUX
fis-3231	158	5	be	be	AUX
fis-3231	158	6	simplified	simplify	VERB
fis-3231	158	7	assuming	assume	VERB
fis-3231	158	8			NOUN
fis-3231	158	9			NOUN
fis-3231	158	10	0	0	NUM
fis-3231	158	11	to	to	PART
fis-3231	158	12	obtain	obtain	VERB
fis-3231	158	13	the	the	DET
fis-3231	158	14	characteristic	characteristic	ADJ
fis-3231	158	15	equation	equation	NOUN
fis-3231	158	16	of	of	ADP
fis-3231	158	17	clamped	clamp	VERB
fis-3231	158	18	-	-	PUNCT
fis-3231	158	19	free	free	ADJ
fis-3231	158	20	beam	beam	NOUN
fis-3231	158	21	case	case	NOUN
fis-3231	158	22			NOUN
fis-3231	158	23			SYM
fis-3231	158	24			NOUN
fis-3231	158	25			PROPN
fis-3231	158	26			PUNCT
fis-3231	158	27	cosh	cosh	PUNCT
fis-3231	158	28	cosh	cosh	NOUN
fis-3231	158	29	1	1	NUM
fis-3231	158	30	0kl	0kl	NOUN
fis-3231	158	31	kl	kl	X
fis-3231	158	32	(	(	PUNCT
fis-3231	158	33	19	19	NUM
fis-3231	158	34	)	)	PUNCT
fis-3231	158	35	we	we	PRON
fis-3231	158	36	consider	consider	VERB
fis-3231	158	37	that	that	SCONJ
fis-3231	158	38	the	the	DET
fis-3231	158	39	arbitrary	arbitrary	ADJ
fis-3231	158	40	motion	motion	NOUN
fis-3231	158	41	of	of	ADP
fis-3231	158	42	a	a	DET
fis-3231	158	43	beam	beam	NOUN
fis-3231	158	44	undergoing	undergo	VERB
fis-3231	158	45	free	free	ADJ
fis-3231	158	46	vibration	vibration	NOUN
fis-3231	158	47	may	may	AUX
fis-3231	158	48	be	be	AUX
fis-3231	158	49	expressed	express	VERB
fis-3231	158	50	as	as	ADP
fis-3231	158	51	a	a	DET
fis-3231	158	52	superposition	superposition	NOUN
fis-3231	158	53	of	of	ADP
fis-3231	158	54	its	its	PRON
fis-3231	158	55	free	free	ADJ
fis-3231	158	56	vibration	vibration	NOUN
fis-3231	158	57	mode	mode	NOUN
fis-3231	158	58	shapes	shape	NOUN
fis-3231	158	59	(	(	PUNCT
fis-3231	158	60	φ	φ	PROPN
fis-3231	158	61	𝜁	𝜁	PROPN
fis-3231	158	62	)	)	PUNCT
fis-3231	158	63	,	,	PUNCT
fis-3231	158	64	each	each	PRON
fis-3231	158	65	undergoing	undergo	VERB
fis-3231	158	66	simple	simple	ADJ
fis-3231	158	67	harmonic	harmonic	ADJ
fis-3231	158	68	motion	motion	NOUN
fis-3231	158	69	with	with	ADP
fis-3231	158	70	frequency	frequency	NOUN
fis-3231	158	71	𝜔	𝜔	NOUN
fis-3231	158	72	,	,	PUNCT
fis-3231	158	73	namely	namely	ADV
fis-3231	158	74	we	we	PRON
fis-3231	158	75	assume	assume	VERB
fis-3231	158	76	that	that	SCONJ
fis-3231	158	77	:	:	PUNCT
fis-3231	158	78	𝑦	𝑦	NUM
fis-3231	158	79	𝜁	𝜁	PROPN
fis-3231	158	80	,	,	PUNCT
fis-3231	158	81	𝑡	𝑡	VERB
fis-3231	158	82	∑	∑	PROPN
fis-3231	158	83	𝑢	𝑢	X
fis-3231	158	84	𝑡	𝑡	PROPN
fis-3231	158	85	φ	φ	PROPN
fis-3231	158	86	𝜁	𝜁	PROPN
fis-3231	158	87	(	(	PUNCT
fis-3231	158	88	20	20	NUM
fis-3231	158	89	)	)	PUNCT
fis-3231	158	90	where	where	SCONJ
fis-3231	158	91	φ	φ	PROPN
fis-3231	158	92	𝜁	𝜁	PROPN
fis-3231	158	93	is	be	AUX
fis-3231	158	94	a	a	DET
fis-3231	158	95	given	give	VERB
fis-3231	158	96	function	function	NOUN
fis-3231	158	97	and	and	CCONJ
fis-3231	158	98	𝑢	𝑢	NOUN
fis-3231	158	99	𝑡	𝑡	PROPN
fis-3231	158	100	is	be	AUX
fis-3231	158	101	the	the	DET
fis-3231	158	102	unknown	unknown	NOUN
fis-3231	158	103	.	.	PUNCT
fis-3231	159	1	the	the	DET
fis-3231	159	2	lagrangian	lagrangian	NOUN
fis-3231	159	3	of	of	ADP
fis-3231	159	4	the	the	DET
fis-3231	159	5	system	system	NOUN
fis-3231	159	6	is	be	AUX
fis-3231	159	7	defined	define	VERB
fis-3231	159	8	as	as	ADP
fis-3231	159	9	ℒ	ℒ	PROPN
fis-3231	159	10	𝐸	𝐸	PROPN
fis-3231	159	11	𝐸	𝐸	PROPN
fis-3231	159	12	.	.	PUNCT
fis-3231	160	1	inserting	insert	VERB
fis-3231	160	2	the	the	DET
fis-3231	160	3	eqn.(20	eqn.(20	NOUN
fis-3231	160	4	)	)	PUNCT
fis-3231	160	5	in	in	ADP
fis-3231	160	6	ℒ	ℒ	NOUN
fis-3231	160	7	and	and	CCONJ
fis-3231	160	8	enforcing	enforce	VERB
fis-3231	160	9	stationariety	stationariety	NOUN
fis-3231	160	10	,	,	PUNCT
fis-3231	160	11	yields	yield	NOUN
fis-3231	160	12	to	to	ADP
fis-3231	160	13	the	the	DET
fis-3231	160	14	equation	equation	NOUN
fis-3231	160	15	of	of	ADP
fis-3231	160	16	motion	motion	NOUN
fis-3231	160	17	of	of	ADP
fis-3231	160	18	each	each	DET
fis-3231	160	19	mode	mode	NOUN
fis-3231	160	20	defined	define	VERB
fis-3231	160	21	as	as	ADP
fis-3231	160	22	ℒ	ℒ	ADJ
fis-3231	160	23	ℒ	ℒ	NOUN
fis-3231	160	24	.	.	PUNCT
fis-3231	161	1	after	after	ADP
fis-3231	161	2	some	some	DET
fis-3231	161	3	computations	computation	NOUN
fis-3231	161	4	we	we	PRON
fis-3231	161	5	get	get	VERB
fis-3231	161	6	[	[	X
fis-3231	161	7	16	16	NUM
fis-3231	161	8	,	,	PUNCT
fis-3231	161	9	26	26	NUM
fis-3231	161	10	]	]	PUNCT
fis-3231	161	11	:	:	PUNCT
fis-3231	161	12	𝑢	𝑢	X
fis-3231	161	13	𝛼	𝛼	X
fis-3231	161	14	𝛼	𝛼	X
fis-3231	161	15	𝑢	𝑢	X
fis-3231	161	16	𝛼	𝛼	X
fis-3231	161	17	𝑢	𝑢	PRON
fis-3231	161	18	𝑢	𝑢	X
fis-3231	161	19	𝛼	𝛼	X
fis-3231	161	20	𝑢	𝑢	PRON
fis-3231	161	21	2𝛼	2𝛼	PROPN
fis-3231	161	22	𝑢	𝑢	PROPN
fis-3231	161	23	𝛽	𝛽	X
fis-3231	161	24	𝛼	𝛼	PRON
fis-3231	161	25	𝑢	𝑢	X
fis-3231	161	26	2𝛼	2𝛼	PROPN
fis-3231	161	27	𝑢	𝑢	ADP
fis-3231	161	28	3𝛼	3𝛼	PROPN
fis-3231	161	29	𝑢	𝑢	PROPN
fis-3231	161	30	0	0	NUM
fis-3231	161	31	(	(	PUNCT
fis-3231	161	32	21	21	NUM
fis-3231	161	33	)	)	PUNCT
fis-3231	161	34	where	where	SCONJ
fis-3231	161	35	𝛼	𝛼	X
fis-3231	161	36	φ	φ	NOUN
fis-3231	161	37	𝜁	𝜁	PROPN
fis-3231	161	38	𝑑𝜁	𝑑𝜁	ADP
fis-3231	161	39	𝜇φ	𝜇φ	CCONJ
fis-3231	161	40	𝜂	𝜂	NOUN
fis-3231	161	41	𝑗φ	𝑗φ	ADP
fis-3231	161	42	𝜂	𝜂	NOUN
fis-3231	161	43	,	,	PUNCT
fis-3231	161	44	𝛼	𝛼	PROPN
fis-3231	161	45	φ	φ	NOUN
fis-3231	161	46	𝜒	𝜒	X
fis-3231	161	47	𝑑𝜒	𝑑𝜒	NOUN
fis-3231	161	48	𝑑𝜁	𝑑𝜁	ADP
fis-3231	161	49	𝜇	𝜇	ADP
fis-3231	161	50	φ	φ	X
fis-3231	161	51	𝜒	𝜒	X
fis-3231	161	52	𝑑𝜒	𝑑𝜒	PRON
fis-3231	161	53	𝑗φ	𝑗φ	NOUN
fis-3231	161	54	𝜂	𝜂	NOUN
fis-3231	161	55	,	,	PUNCT
fis-3231	161	56	𝛼	𝛼	PROPN
fis-3231	161	57	φ	φ	PROPN
fis-3231	161	58	𝜒	𝜒	PROPN
fis-3231	161	59	𝑑𝜒	𝑑𝜒	PROPN
fis-3231	161	60	φ	φ	X
fis-3231	161	61	𝜒	𝜒	PROPN
fis-3231	161	62	𝑑𝜒	𝑑𝜒	NOUN
fis-3231	161	63	𝑑𝜁	𝑑𝜁	NOUN
fis-3231	161	64	,	,	PUNCT
fis-3231	161	65	𝜇	𝜇	ADP
fis-3231	161	66	φ	φ	X
fis-3231	161	67	𝜒	𝜒	X
fis-3231	161	68	𝑑𝜒	𝑑𝜒	PROPN
fis-3231	161	69	φ	φ	X
fis-3231	161	70	𝜒	𝜒	X
fis-3231	161	71	𝑑𝜒	𝑑𝜒	PRON
fis-3231	161	72	𝑗φ	𝑗φ	NOUN
fis-3231	161	73	𝜂	𝜂	NOUN
fis-3231	161	74	,	,	PUNCT
fis-3231	161	75	𝛼	𝛼	PROPN
fis-3231	161	76	φ	φ	PROPN
fis-3231	161	77	𝜁	𝜁	PROPN
fis-3231	161	78	𝑑𝜁	𝑑𝜁	PROPN
fis-3231	161	79	,	,	PUNCT
fis-3231	161	80	𝛼	𝛼	PROPN
fis-3231	161	81	φ	φ	PROPN
fis-3231	161	82	𝜁	𝜁	PROPN
fis-3231	161	83	φ	φ	PROPN
fis-3231	161	84	𝜁	𝜁	PROPN
fis-3231	161	85	𝑑𝜁	𝑑𝜁	PROPN
fis-3231	161	86	,	,	PUNCT
fis-3231	161	87	𝛼	𝛼	PROPN
fis-3231	161	88	φ	φ	PROPN
fis-3231	161	89	𝜁	𝜁	PROPN
fis-3231	161	90	φ	φ	PROPN
fis-3231	161	91	𝜁	𝜁	PROPN
fis-3231	161	92	𝑑𝜁	𝑑𝜁	ADP
fis-3231	161	93	𝛽	𝛽	PROPN
fis-3231	161	94	(	(	PUNCT
fis-3231	161	95	22	22	NUM
fis-3231	161	96	)	)	PUNCT
fis-3231	161	97	the	the	DET
fis-3231	161	98	nonlinear	nonlinear	ADJ
fis-3231	161	99	inertial	inertial	ADJ
fis-3231	161	100	terms	term	NOUN
fis-3231	161	101	are	be	AUX
fis-3231	161	102	clearly	clearly	ADV
fis-3231	161	103	visible	visible	ADJ
fis-3231	161	104	.	.	PUNCT
fis-3231	162	1	the	the	DET
fis-3231	162	2	accuracy	accuracy	NOUN
fis-3231	162	3	of	of	ADP
fis-3231	162	4	the	the	DET
fis-3231	162	5	proposed	propose	VERB
fis-3231	162	6	approximate	approximate	ADJ
fis-3231	162	7	solution	solution	NOUN
fis-3231	162	8	is	be	AUX
fis-3231	162	9	expected	expect	VERB
fis-3231	162	10	to	to	PART
fis-3231	162	11	diminish	diminish	VERB
fis-3231	162	12	when	when	SCONJ
fis-3231	162	13	the	the	DET
fis-3231	162	14	mass	mass	NOUN
fis-3231	162	15	ratio	ratio	NOUN
fis-3231	162	16			NOUN
fis-3231	162	17	exceeds	exceed	VERB
fis-3231	162	18	the	the	DET
fis-3231	162	19	value	value	NOUN
fis-3231	162	20	of	of	ADP
fis-3231	162	21	3	3	NUM
fis-3231	162	22	[	[	X
fis-3231	162	23	16	16	NUM
fis-3231	162	24	]	]	X
fis-3231	162	25	,	,	PUNCT
fis-3231	162	26	since	since	SCONJ
fis-3231	162	27	the	the	DET
fis-3231	162	28	spatial	spatial	ADJ
fis-3231	162	29	shapes	shape	NOUN
fis-3231	162	30			NOUN
fis-3231	162	31	φn	φn	X
fis-3231	162	32	is	be	AUX
fis-3231	162	33	only	only	ADV
fis-3231	162	34	considered	consider	VERB
fis-3231	162	35	in	in	ADP
fis-3231	162	36	linear	linear	ADJ
fis-3231	162	37	form	form	NOUN
fis-3231	162	38	.	.	PUNCT
fis-3231	163	1	the	the	DET
fis-3231	163	2	eqn.(21	eqn.(21	PROPN
fis-3231	163	3	)	)	PUNCT
fis-3231	163	4	is	be	AUX
fis-3231	163	5	solved	solve	VERB
fis-3231	163	6	by	by	ADP
fis-3231	163	7	the	the	DET
fis-3231	163	8	multiple	multiple	ADJ
fis-3231	163	9	scale	scale	NOUN
fis-3231	163	10	method	method	NOUN
fis-3231	163	11	[	[	X
fis-3231	163	12	19	19	NUM
fis-3231	163	13	]	]	PUNCT
fis-3231	163	14	,	,	PUNCT
fis-3231	163	15	and	and	CCONJ
fis-3231	163	16	the	the	DET
fis-3231	163	17	approximate	approximate	ADJ
fis-3231	163	18	solution	solution	NOUN
fis-3231	163	19	is	be	AUX
fis-3231	163	20	given	give	VERB
fis-3231	163	21	by	by	ADP
fis-3231	163	22			NOUN
fis-3231	163	23			PROPN
fis-3231	163	24			NOUN
fis-3231	164	1			SYM
fis-3231	164	2			NOUN
fis-3231	164	3			NOUN
fis-3231	164	4			VERB
fis-3231	164	5			NOUN
fis-3231	164	6			PRON
fis-3231	164	7			NOUN
fis-3231	164	8			X
fis-3231	164	9			X
fis-3231	164	10			NOUN
fis-3231	164	11			PROPN
fis-3231	164	12			PROPN
fis-3231	164	13			ADV
fis-3231	164	14			PUNCT
fis-3231	164	15			PROPN
fis-3231	164	16			VERB
fis-3231	164	17			NUM
fis-3231	164	18			PROPN
fis-3231	164	19			PROPN
fis-3231	164	20			PROPN
fis-3231	164	21			PROPN
fis-3231	164	22			PROPN
fis-3231	164	23			NOUN
fis-3231	164	24	35	35	NUM
fis-3231	164	25	2	2	NUM
fis-3231	164	26	1	1	NUM
fis-3231	164	27	2	2	NUM
fis-3231	164	28	4	4	NUM
fis-3231	164	29	1	1	NUM
fis-3231	164	30	1	1	NUM
fis-3231	164	31	sin	sin	NOUN
fis-3231	164	32	sin	sin	NOUN
fis-3231	164	33	3	3	NUM
fis-3231	164	34	...	...	SYM
fis-3231	164	35	16n	16n	NOUN
fis-3231	164	36	n	n	CCONJ
fis-3231	164	37	nl	nl	PROPN
fis-3231	164	38	n	n	CCONJ
fis-3231	164	39	n	n	PROPN
fis-3231	164	40	nl	nl	PROPN
fis-3231	164	41	nu	nu	PROPN
fis-3231	164	42	t	t	PROPN
fis-3231	164	43	a	a	DET
fis-3231	164	44	t	t	PROPN
fis-3231	164	45	a	a	DET
fis-3231	164	46	t	t	NOUN
fis-3231	164	47	(	(	PUNCT
fis-3231	164	48	23	23	NUM
fis-3231	164	49	)	)	PUNCT
fis-3231	164	50	the	the	DET
fis-3231	164	51	nl	nl	NOUN
fis-3231	164	52	is	be	AUX
fis-3231	164	53	the	the	DET
fis-3231	164	54	nonlinear	nonlinear	ADJ
fis-3231	164	55	frequency	frequency	NOUN
fis-3231	164	56	,	,	PUNCT
fis-3231	164	57	and	and	CCONJ
fis-3231	164	58	can	can	AUX
fis-3231	164	59	be	be	AUX
fis-3231	164	60	written	write	VERB
fis-3231	164	61	in	in	ADP
fis-3231	164	62	the	the	DET
fis-3231	164	63	form	form	NOUN
fis-3231	164	64			X
fis-3231	164	65			X
fis-3231	164	66			X
fis-3231	164	67			X
fis-3231	164	68			PROPN
fis-3231	164	69			PUNCT
fis-3231	164	70	2	2	PROPN
fis-3231	164	71	4	4	NUM
fis-3231	164	72	0	0	NUM
fis-3231	164	73	2	2	NUM
fis-3231	164	74	4	4	NUM
fis-3231	164	75	...	...	PUNCT
fis-3231	165	1	nl	nl	PROPN
fis-3231	165	2	n	n	CCONJ
fis-3231	165	3	n	n	CCONJ
fis-3231	165	4	n	n	ADV
fis-3231	165	5	n	n	ADV
fis-3231	165	6	na	na	ADP
fis-3231	165	7	a	a	DET
fis-3231	165	8	(	(	PUNCT
fis-3231	165	9	24	24	NUM
fis-3231	165	10	)	)	PUNCT
fis-3231	165	11	m.	m.	NOUN
fis-3231	165	12	utzeri	utzeri	PROPN
fis-3231	165	13	et	et	PROPN
fis-3231	165	14	alii	alii	PROPN
fis-3231	165	15	,	,	PUNCT
fis-3231	165	16	frattura	frattura	PROPN
fis-3231	165	17	ed	ed	PROPN
fis-3231	165	18	integrità	integrità	PROPN
fis-3231	165	19	strutturale	strutturale	PROPN
fis-3231	165	20	,	,	PUNCT
fis-3231	165	21	58	58	NUM
fis-3231	165	22	(	(	PUNCT
fis-3231	165	23	2021	2021	NUM
fis-3231	165	24	)	)	PUNCT
fis-3231	165	25	254	254	NUM
fis-3231	165	26	-	-	SYM
fis-3231	165	27	271	271	NUM
fis-3231	165	28	;	;	PUNCT
fis-3231	165	29	doi	doi	NOUN
fis-3231	165	30	:	:	PUNCT
fis-3231	165	31	10.3221	10.3221	NUM
fis-3231	165	32	/	/	SYM
fis-3231	165	33	igf	igf	PROPN
fis-3231	165	34	-	-	PUNCT
fis-3231	165	35	esis.58.19	esis.58.19	PROPN
fis-3231	165	36	260	260	NUM
fis-3231	166	1	where	where	SCONJ
fis-3231	166	2	:	:	PUNCT
fis-3231	166	3			NUM
fis-3231	166	4			NOUN
fis-3231	166	5			NOUN
fis-3231	166	6			X
fis-3231	166	7			NOUN
fis-3231	166	8			NOUN
fis-3231	166	9			X
fis-3231	166	10			X
fis-3231	166	11			X
fis-3231	166	12			X
fis-3231	166	13			X
fis-3231	166	14			X
fis-3231	166	15			X
fis-3231	166	16			VERB
fis-3231	166	17			X
fis-3231	166	18			X
fis-3231	166	19			NOUN
fis-3231	166	20			ADP
fis-3231	166	21			X
fis-3231	166	22			NUM
fis-3231	166	23			NOUN
fis-3231	166	24			NOUN
fis-3231	166	25			PROPN
fis-3231	166	26			PROPN
fis-3231	166	27			PROPN
fis-3231	166	28			PROPN
fis-3231	166	29			NOUN
fis-3231	166	30			NOUN
fis-3231	166	31			ADJ
fis-3231	166	32			PROPN
fis-3231	166	33			PROPN
fis-3231	166	34			PROPN
fis-3231	166	35			PUNCT
fis-3231	166	36			PRON
fis-3231	166	37			PROPN
fis-3231	166	38			PROPN
fis-3231	167	1			ADJ
fis-3231	167	2			NOUN
fis-3231	167	3	4	4	NUM
fis-3231	167	4	0	0	NUM
fis-3231	167	5	1	1	NUM
fis-3231	167	6	0	0	NUM
fis-3231	167	7	5	5	NUM
fis-3231	167	8	2	2	NUM
fis-3231	167	9	2	2	NUM
fis-3231	167	10	4	4	NUM
fis-3231	167	11	1	1	NUM
fis-3231	167	12	2	2	NUM
fis-3231	167	13	2	2	NUM
fis-3231	167	14	0	0	NUM
fis-3231	167	15	5	5	NUM
fis-3231	167	16	2	2	NUM
fis-3231	167	17	5	5	NUM
fis-3231	167	18	6	6	NUM
fis-3231	167	19	32	32	NUM
fis-3231	167	20	4	4	NUM
fis-3231	167	21	2	2	NUM
fis-3231	167	22	2	2	NUM
fis-3231	167	23	1	1	NUM
fis-3231	167	24	4	4	NUM
fis-3231	167	25	4	4	NUM
fis-3231	167	26	14	14	NUM
fis-3231	167	27	1	1	NUM
fis-3231	167	28	,	,	PUNCT
fis-3231	167	29	3	3	NUM
fis-3231	167	30	,	,	PUNCT
fis-3231	167	31	4	4	NUM
fis-3231	167	32	  	  	SPACE
fis-3231	167	33	15	15	NUM
fis-3231	167	34	18	18	NUM
fis-3231	167	35	9	9	NUM
fis-3231	167	36	60	60	NUM
fis-3231	167	37	12	12	NUM
fis-3231	167	38	64	64	NUM
fis-3231	167	39	  	  	SPACE
fis-3231	167	40	n	n	CCONJ
fis-3231	167	41	n	n	CCONJ
fis-3231	167	42	n	n	CCONJ
fis-3231	167	43	n	n	CCONJ
fis-3231	167	44	n	n	CCONJ
fis-3231	167	45	(	(	PUNCT
fis-3231	167	46	25	25	NUM
fis-3231	167	47	)	)	PUNCT
fis-3231	167	48	eqn.(24	eqn.(24	PROPN
fis-3231	167	49	)	)	PUNCT
fis-3231	167	50	is	be	AUX
fis-3231	167	51	the	the	DET
fis-3231	167	52	analytical	analytical	ADJ
fis-3231	167	53	expression	expression	NOUN
fis-3231	167	54	of	of	ADP
fis-3231	167	55	the	the	DET
fis-3231	167	56	backbone	backbone	NOUN
fis-3231	167	57	curve	curve	NOUN
fis-3231	167	58	,	,	PUNCT
fis-3231	167	59	approximated	approximate	VERB
fis-3231	167	60	up	up	ADP
fis-3231	167	61	to	to	ADP
fis-3231	167	62	the	the	DET
fis-3231	167	63	fifth	fifth	ADJ
fis-3231	167	64	order	order	NOUN
fis-3231	167	65	.	.	PUNCT
fis-3231	168	1	considering	consider	VERB
fis-3231	168	2	only	only	ADV
fis-3231	168	3	the	the	DET
fis-3231	168	4	first	first	ADJ
fis-3231	168	5	term	term	NOUN
fis-3231	168	6	in	in	ADP
fis-3231	168	7	eqn.(23	eqn.(23	NOUN
fis-3231	168	8	)	)	PUNCT
fis-3231	168	9	,	,	PUNCT
fis-3231	168	10	we	we	PRON
fis-3231	168	11	remind	remind	VERB
fis-3231	168	12	that	that	SCONJ
fis-3231	168	13	the	the	DET
fis-3231	168	14	physical	physical	ADJ
fis-3231	168	15	tranvsersal	tranvsersal	ADJ
fis-3231	168	16	position	position	NOUN
fis-3231	168	17	of	of	ADP
fis-3231	168	18	the	the	DET
fis-3231	168	19	beam	beam	NOUN
fis-3231	168	20	,	,	PUNCT
fis-3231	168	21	which	which	PRON
fis-3231	168	22	is	be	AUX
fis-3231	168	23	needed	need	VERB
fis-3231	168	24	for	for	ADP
fis-3231	168	25	comparison	comparison	NOUN
fis-3231	168	26	with	with	ADP
fis-3231	168	27	numerical	numerical	ADJ
fis-3231	168	28	and	and	CCONJ
fis-3231	168	29	experimental	experimental	ADJ
fis-3231	168	30	results	result	NOUN
fis-3231	168	31	,	,	PUNCT
fis-3231	168	32	is	be	AUX
fis-3231	168	33	given	give	VERB
fis-3231	168	34	by	by	ADP
fis-3231	168	35			NOUN
fis-3231	169	1			PROPN
fis-3231	169	2			NOUN
fis-3231	169	3			SYM
fis-3231	169	4			NOUN
fis-3231	169	5			SYM
fis-3231	169	6			NOUN
fis-3231	169	7			SYM
fis-3231	169	8			NOUN
fis-3231	169	9			PUNCT
fis-3231	169	10			NOUN
fis-3231	170	1			X
fis-3231	170	2			PROPN
fis-3231	170	3			X
fis-3231	170	4			VERB
fis-3231	170	5			VERB
fis-3231	170	6			PRON
fis-3231	170	7			NUM
fis-3231	171	1			NUM
fis-3231	171	2			PROPN
fis-3231	171	3			NOUN
fis-3231	171	4			X
fis-3231	171	5	1	1	NUM
fis-3231	171	6	1	1	NUM
fis-3231	171	7	,	,	PUNCT
fis-3231	171	8	φ	φ	PROPN
fis-3231	171	9	s	s	VERB
fis-3231	171	10	in	in	ADP
fis-3231	171	11	φn	φn	ADP
fis-3231	171	12	n	n	CCONJ
fis-3231	171	13	n	n	CCONJ
fis-3231	171	14	nl	nl	PROPN
fis-3231	171	15	n	n	CCONJ
fis-3231	171	16	n	n	CCONJ
fis-3231	171	17	n	n	CCONJ
fis-3231	171	18	n	n	CCONJ
fis-3231	171	19	y	y	PROPN
fis-3231	171	20	t	t	PROPN
fis-3231	172	1	l	l	X
fis-3231	173	1	u	u	NOUN
fis-3231	174	1	t	t	PROPN
fis-3231	174	2	l	l	NOUN
fis-3231	174	3	a	a	PROPN
fis-3231	174	4	t	t	PROPN
fis-3231	174	5	(	(	PUNCT
fis-3231	174	6	26	26	NUM
fis-3231	174	7	)	)	PUNCT
fis-3231	174	8	in	in	ADP
fis-3231	174	9	low	low	ADJ
fis-3231	174	10	-	-	PUNCT
fis-3231	174	11	velocity	velocity	NOUN
fis-3231	174	12	impact	impact	NOUN
fis-3231	174	13	dynamics	dynamic	NOUN
fis-3231	174	14	the	the	DET
fis-3231	174	15	analytical	analytical	ADJ
fis-3231	174	16	model	model	NOUN
fis-3231	174	17	provides	provide	VERB
fis-3231	174	18	two	two	NUM
fis-3231	174	19	boundary	boundary	ADJ
fis-3231	174	20	condition	condition	NOUN
fis-3231	174	21	.	.	PUNCT
fis-3231	175	1	the	the	DET
fis-3231	175	2	initial	initial	ADJ
fis-3231	175	3	displacement	displacement	NOUN
fis-3231	175	4	of	of	ADP
fis-3231	175	5	the	the	DET
fis-3231	175	6	system	system	NOUN
fis-3231	175	7	is	be	AUX
fis-3231	175	8	zero	zero	NUM
fis-3231	175	9	.	.	PUNCT
fis-3231	176	1	secondly	secondly	ADV
fis-3231	176	2	,	,	PUNCT
fis-3231	176	3	the	the	DET
fis-3231	176	4	initial	initial	ADJ
fis-3231	176	5	velocity	velocity	NOUN
fis-3231	176	6	of	of	ADP
fis-3231	176	7	the	the	DET
fis-3231	176	8	system	system	NOUN
fis-3231	176	9	coincides	coincide	VERB
fis-3231	176	10	with	with	ADP
fis-3231	176	11	the	the	DET
fis-3231	176	12	impact	impact	NOUN
fis-3231	176	13	velocity	velocity	NOUN
fis-3231	176	14	0v	0v	NOUN
fis-3231	176	15	.	.	PUNCT
fis-3231	177	1	in	in	ADP
fis-3231	177	2	a	a	DET
fis-3231	177	3	continuous	continuous	ADJ
fis-3231	177	4	eulerobernoulli	eulerobernoulli	NOUN
fis-3231	177	5	beams	beam	NOUN
fis-3231	177	6	with	with	ADP
fis-3231	177	7	a	a	DET
fis-3231	177	8	intermediate	intermediate	ADJ
fis-3231	177	9	lumped	lump	VERB
fis-3231	177	10	mass	mass	NOUN
fis-3231	177	11	the	the	DET
fis-3231	177	12	boundary	boundary	ADJ
fis-3231	177	13	conditions	condition	NOUN
fis-3231	177	14	can	can	AUX
fis-3231	177	15	be	be	AUX
fis-3231	177	16	imposed	impose	VERB
fis-3231	177	17	through	through	ADP
fis-3231	177	18	the	the	DET
fis-3231	177	19	dirac	dirac	NOUN
fis-3231	177	20	function	function	NOUN
fis-3231	177	21	.	.	PUNCT
fis-3231	178	1	thereby	thereby	ADV
fis-3231	178	2	the	the	DET
fis-3231	178	3	initial	initial	ADJ
fis-3231	178	4	velocity	velocity	NOUN
fis-3231	178	5	along	along	ADP
fis-3231	178	6	the	the	DET
fis-3231	178	7	beam	beam	NOUN
fis-3231	178	8	is	be	AUX
fis-3231	178	9	zero	zero	NUM
fis-3231	178	10	except	except	SCONJ
fis-3231	178	11	in	in	ADP
fis-3231	178	12	the	the	DET
fis-3231	178	13	point	point	NOUN
fis-3231	178	14	where	where	SCONJ
fis-3231	178	15	the	the	DET
fis-3231	178	16	impact	impact	NOUN
fis-3231	178	17	occurs	occur	VERB
fis-3231	178	18	.	.	PUNCT
fis-3231	179	1			NOUN
fis-3231	180	1			PUNCT
fis-3231	180	2			NOUN
fis-3231	180	3			SYM
fis-3231	180	4			NOUN
fis-3231	180	5			SYM
fis-3231	180	6			NOUN
fis-3231	180	7			PUNCT
fis-3231	181	1			NOUN
fis-3231	182	1			X
fis-3231	182	2			NUM
fis-3231	182	3			X
fis-3231	182	4			X
fis-3231	183	1			NUM
fis-3231	183	2			ADJ
fis-3231	183	3			ADJ
fis-3231	183	4	0,0	0,0	NUM
fis-3231	183	5	0	0	NUM
fis-3231	183	6	     	     	SPACE
fis-3231	183	7	,	,	PUNCT
fis-3231	183	8	0y	0y	NOUN
fis-3231	183	9	y	y	PROPN
fis-3231	183	10	g	g	PROPN
fis-3231	183	11	v	v	PROPN
fis-3231	183	12	(	(	PUNCT
fis-3231	183	13	27	27	NUM
fis-3231	183	14	)	)	PUNCT
fis-3231	183	15	if	if	SCONJ
fis-3231	183	16	the	the	DET
fis-3231	183	17	impact	impact	NOUN
fis-3231	183	18	occurs	occur	VERB
fis-3231	183	19	in	in	ADP
fis-3231	183	20	a	a	DET
fis-3231	183	21	portion	portion	NOUN
fis-3231	183	22	of	of	ADP
fis-3231	183	23	the	the	DET
fis-3231	183	24	beam	beam	NOUN
fis-3231	183	25	,	,	PUNCT
fis-3231	183	26	the	the	DET
fis-3231	183	27			NOUN
fis-3231	183	28	g	g	NOUN
fis-3231	183	29	can	can	AUX
fis-3231	183	30	be	be	AUX
fis-3231	183	31	described	describe	VERB
fis-3231	183	32	through	through	ADP
fis-3231	183	33	boxcar	boxcar	NOUN
fis-3231	183	34	function	function	NOUN
fis-3231	183	35	or	or	CCONJ
fis-3231	183	36	rectangular	rectangular	ADJ
fis-3231	183	37	function	function	NOUN
fis-3231	183	38	as	as	ADP
fis-3231	183	39			NOUN
fis-3231	183	40			PROPN
fis-3231	183	41			X
fis-3231	184	1			SCONJ
fis-3231	184	2			X
fis-3231	184	3			NOUN
fis-3231	184	4			NUM
fis-3231	184	5			X
fis-3231	184	6			NUM
fis-3231	184	7			NOUN
fis-3231	184	8			NOUN
fis-3231	184	9			PROPN
fis-3231	184	10			VERB
fis-3231	184	11			PROPN
fis-3231	184	12			PROPN
fis-3231	184	13			VERB
fis-3231	184	14			PROPN
fis-3231	184	15			PROPN
fis-3231	184	16			NOUN
fis-3231	184	17			PROPN
fis-3231	184	18			PROPN
fis-3231	184	19			PROPN
fis-3231	184	20			PROPN
fis-3231	184	21			PROPN
fis-3231	184	22			PROPN
fis-3231	184	23			NOUN
fis-3231	184	24			PROPN
fis-3231	184	25			PROPN
fis-3231	185	1			PROPN
fis-3231	185	2			NOUN
fis-3231	186	1			PROPN
fis-3231	186	2			PROPN
fis-3231	186	3			NOUN
fis-3231	187	1			PROPN
fis-3231	187	2			PROPN
fis-3231	187	3			NOUN
fis-3231	188	1			PROPN
fis-3231	188	2			PROPN
fis-3231	189	1			NOUN
fis-3231	189	2			X
fis-3231	190	1			PROPN
fis-3231	190	2			ADJ
fis-3231	190	3			PROPN
fis-3231	190	4			PROPN
fis-3231	190	5			NOUN
fis-3231	190	6			NOUN
fis-3231	190	7			PROPN
fis-3231	190	8			NOUN
fis-3231	190	9			NOUN
fis-3231	190	10			NOUN
fis-3231	190	11	0	0	NUM
fis-3231	190	12	0π	0π	NUM
fis-3231	190	13	2	2	NUM
fis-3231	190	14	2	2	NUM
fis-3231	190	15	imp	imp	NOUN
fis-3231	190	16	imp	imp	NOUN
fis-3231	190	17	imp	imp	NOUN
fis-3231	190	18	g	g	PROPN
fis-3231	190	19	v	v	PROPN
fis-3231	190	20	v	v	NUM
fis-3231	190	21	h	h	NOUN
fis-3231	190	22	h	h	NOUN
fis-3231	190	23	(	(	PUNCT
fis-3231	190	24	28	28	NUM
fis-3231	190	25	)	)	PUNCT
fis-3231	190	26	where	where	SCONJ
fis-3231	190	27	the	the	DET
fis-3231	190	28			X
fis-3231	190	29	imp	imp	PROPN
fis-3231	190	30	is	be	AUX
fis-3231	190	31	the	the	DET
fis-3231	190	32	adimensional	adimensional	ADJ
fis-3231	190	33	portion	portion	NOUN
fis-3231	190	34	of	of	ADP
fis-3231	190	35	the	the	DET
fis-3231	190	36	beam	beam	NOUN
fis-3231	190	37	impacted	impact	VERB
fis-3231	190	38	.	.	PUNCT
fis-3231	191	1	then	then	ADV
fis-3231	191	2	,	,	PUNCT
fis-3231	191	3	substituting	substitute	VERB
fis-3231	191	4	the	the	DET
fis-3231	191	5	eqn.(20	eqn.(20	PROPN
fis-3231	191	6	)	)	PUNCT
fis-3231	191	7	in	in	ADP
fis-3231	191	8	eqn.(27	eqn.(27	PROPN
fis-3231	191	9	)	)	PUNCT
fis-3231	191	10	yields	yield	VERB
fis-3231	191	11			NOUN
fis-3231	192	1			SYM
fis-3231	192	2			NOUN
fis-3231	192	3			SYM
fis-3231	192	4			NOUN
fis-3231	192	5			PUNCT
fis-3231	192	6			NOUN
fis-3231	192	7			NOUN
fis-3231	192	8			VERB
fis-3231	192	9			PRON
fis-3231	192	10			NUM
fis-3231	192	11			PROPN
fis-3231	192	12	1	1	NUM
fis-3231	192	13	1	1	NUM
fis-3231	192	14	,	,	PUNCT
fis-3231	192	15	0	0	NUM
fis-3231	192	16	s	s	PART
fis-3231	192	17	in	in	ADP
fis-3231	192	18	φ	φ	PROPN
fis-3231	192	19	0,n	0,n	NOUN
fis-3231	192	20	n	n	CCONJ
fis-3231	192	21	n	n	CCONJ
fis-3231	192	22	n	n	PROPN
fis-3231	192	23	y	y	PROPN
fis-3231	192	24	a	a	DET
fis-3231	192	25	(	(	PUNCT
fis-3231	192	26	29	29	NUM
fis-3231	192	27	)	)	PUNCT
fis-3231	192	28			NOUN
fis-3231	193	1			PUNCT
fis-3231	193	2			NOUN
fis-3231	193	3			SYM
fis-3231	193	4			NOUN
fis-3231	193	5			SYM
fis-3231	193	6			NOUN
fis-3231	193	7			PUNCT
fis-3231	194	1			NUM
fis-3231	194	2			NOUN
fis-3231	194	3			AUX
fis-3231	194	4			PROPN
fis-3231	194	5			NOUN
fis-3231	194	6			NOUN
fis-3231	194	7			VERB
fis-3231	194	8			NUM
fis-3231	194	9			PROPN
fis-3231	194	10			PROPN
fis-3231	194	11			NOUN
fis-3231	194	12	0	0	NUM
fis-3231	194	13	1	1	NUM
fis-3231	194	14	1	1	NUM
fis-3231	194	15	,	,	PUNCT
fis-3231	194	16	0	0	NUM
fis-3231	194	17	c	c	X
fis-3231	194	18	os	os	NOUN
fis-3231	194	19	φn	φn	ADP
fis-3231	194	20	n	n	CCONJ
fis-3231	194	21	n	n	CCONJ
fis-3231	194	22	n	n	CCONJ
fis-3231	194	23	n	n	ADV
fis-3231	194	24	y	y	PROPN
fis-3231	194	25	v	v	PROPN
fis-3231	194	26	a	a	DET
fis-3231	194	27	(	(	PUNCT
fis-3231	194	28	30	30	NUM
fis-3231	194	29	)	)	PUNCT
fis-3231	194	30	the	the	DET
fis-3231	194	31	initial	initial	ADJ
fis-3231	194	32	displaced	displace	VERB
fis-3231	194	33	shape	shape	NOUN
fis-3231	194	34	have	have	VERB
fis-3231	194	35	to	to	PART
fis-3231	194	36	be	be	AUX
fis-3231	194	37	equal	equal	ADJ
fis-3231	194	38	to	to	ADP
fis-3231	194	39	zero	zero	NUM
fis-3231	194	40	so	so	SCONJ
fis-3231	194	41	the	the	DET
fis-3231	194	42	elementary	elementary	ADJ
fis-3231	194	43	solution	solution	NOUN
fis-3231	194	44	is	be	AUX
fis-3231	194	45			NOUN
fis-3231	195	1	1	1	ADJ
fis-3231	195	2	0n	0n	NOUN
fis-3231	195	3	.	.	PUNCT
fis-3231	196	1	thus	thus	ADV
fis-3231	196	2	,	,	PUNCT
fis-3231	196	3	in	in	ADP
fis-3231	196	4	this	this	DET
fis-3231	196	5	work	work	NOUN
fis-3231	196	6	the	the	DET
fis-3231	196	7	na	na	NOUN
fis-3231	196	8	is	be	AUX
fis-3231	196	9	only	only	ADV
fis-3231	196	10	function	function	NOUN
fis-3231	196	11	of	of	ADP
fis-3231	196	12	impact	impact	NOUN
fis-3231	196	13	velocity	velocity	NOUN
fis-3231	196	14	.	.	PUNCT
fis-3231	197	1	the	the	DET
fis-3231	197	2	magnitudes	magnitude	NOUN
fis-3231	197	3	represents	represent	VERB
fis-3231	197	4	the	the	DET
fis-3231	197	5	strengths	strength	NOUN
fis-3231	197	6	in	in	ADP
fis-3231	197	7	which	which	PRON
fis-3231	197	8	the	the	DET
fis-3231	197	9	various	various	ADJ
fis-3231	197	10	modes	mode	NOUN
fis-3231	197	11	participate	participate	VERB
fis-3231	197	12	in	in	ADP
fis-3231	197	13	the	the	DET
fis-3231	197	14	subsequent	subsequent	ADJ
fis-3231	197	15	motion	motion	NOUN
fis-3231	197	16	[	[	X
fis-3231	197	17	27	27	NUM
fis-3231	197	18	]	]	PUNCT
fis-3231	197	19	.	.	PUNCT
fis-3231	198	1	multiplying	multiply	VERB
fis-3231	198	2	both	both	DET
fis-3231	198	3	sides	side	NOUN
fis-3231	198	4	of	of	ADP
fis-3231	198	5	eqn.(30	eqn.(30	PROPN
fis-3231	198	6	)	)	PUNCT
fis-3231	198	7	by	by	ADP
fis-3231	198	8	the	the	DET
fis-3231	198	9	m	m	PROPN
fis-3231	198	10	-th	-th	ADJ
fis-3231	198	11	eigenfunction	eigenfunction	NOUN
fis-3231	198	12	,	,	PUNCT
fis-3231	198	13	integrating	integrate	VERB
fis-3231	198	14	both	both	DET
fis-3231	198	15	sides	side	NOUN
fis-3231	198	16	over	over	ADP
fis-3231	198	17	the	the	DET
fis-3231	198	18	length	length	NOUN
fis-3231	198	19	of	of	ADP
fis-3231	198	20	the	the	DET
fis-3231	198	21	beam	beam	NOUN
fis-3231	198	22	,	,	PUNCT
fis-3231	198	23	and	and	CCONJ
fis-3231	198	24	taking	take	VERB
fis-3231	198	25	advantage	advantage	NOUN
fis-3231	198	26	of	of	ADP
fis-3231	198	27	the	the	DET
fis-3231	198	28	well	well	ADV
fis-3231	198	29	-	-	PUNCT
fis-3231	198	30	known	know	VERB
fis-3231	198	31	orthogonality	orthogonality	NOUN
fis-3231	198	32	property	property	NOUN
fis-3231	198	33	of	of	ADP
fis-3231	198	34	the	the	DET
fis-3231	198	35	eigenfunctions	eigenfunction	NOUN
fis-3231	198	36	yields	yield	VERB
fis-3231	198	37	to	to	ADP
fis-3231	198	38	na	na	VERB
fis-3231	198	39	,	,	PUNCT
fis-3231	198	40	the	the	DET
fis-3231	198	41	amplitude	amplitude	NOUN
fis-3231	198	42	coefficients	coefficient	NOUN
fis-3231	198	43	of	of	ADP
fis-3231	198	44	the	the	DET
fis-3231	198	45	n	n	PRON
fis-3231	198	46	-th	-th	NOUN
fis-3231	198	47	mode	mode	NOUN
fis-3231	198	48			NOUN
fis-3231	199	1			PROPN
fis-3231	199	2			NOUN
fis-3231	199	3			SYM
fis-3231	199	4			NOUN
fis-3231	199	5			SYM
fis-3231	199	6			NOUN
fis-3231	199	7			PUNCT
fis-3231	200	1			NOUN
fis-3231	201	1			X
fis-3231	201	2			NUM
fis-3231	201	3			NOUN
fis-3231	201	4			NUM
fis-3231	202	1			NOUN
fis-3231	202	2			X
fis-3231	203	1			X
fis-3231	203	2			NOUN
fis-3231	203	3			X
fis-3231	204	1			X
fis-3231	204	2			NOUN
fis-3231	204	3			X
fis-3231	204	4			NOUN
fis-3231	204	5			PRON
fis-3231	204	6			PROPN
fis-3231	204	7			X
fis-3231	204	8			NOUN
fis-3231	205	1			SYM
fis-3231	205	2	1	1	NUM
fis-3231	205	3	1	1	NUM
fis-3231	205	4	00	00	NUM
fis-3231	205	5	0	0	NUM
fis-3231	205	6	1	1	NUM
fis-3231	205	7	12	12	NUM
fis-3231	205	8	2	2	NUM
fis-3231	205	9	0	0	NUM
fis-3231	205	10	0	0	NUM
fis-3231	205	11	φ	φ	PROPN
fis-3231	205	12	φ	φ	PROPN
fis-3231	205	13	φ	φ	PROPN
fis-3231	205	14	(	(	PUNCT
fis-3231	205	15	)	)	PUNCT
fis-3231	205	16	φ	φ	PROPN
fis-3231	205	17	(	(	PUNCT
fis-3231	205	18	)	)	PUNCT
fis-3231	205	19	n	n	CCONJ
fis-3231	205	20	n	n	CCONJ
fis-3231	205	21	n	n	CCONJ
fis-3231	205	22	n	n	CCONJ
fis-3231	205	23	n	n	CCONJ
fis-3231	205	24	n	n	CCONJ
fis-3231	205	25	n	n	ADV
fis-3231	205	26	g	g	NOUN
fis-3231	206	1	d	d	X
fis-3231	206	2	v	v	PROPN
fis-3231	206	3	d	d	NOUN
fis-3231	206	4	a	a	PROPN
fis-3231	206	5	d	d	X
fis-3231	206	6	d	d	X
fis-3231	206	7	(	(	PUNCT
fis-3231	206	8	31	31	NUM
fis-3231	206	9	)	)	PUNCT
fis-3231	206	10	m.	m.	NOUN
fis-3231	206	11	utzeri	utzeri	PROPN
fis-3231	206	12	et	et	PROPN
fis-3231	206	13	alii	alii	PROPN
fis-3231	206	14	,	,	PUNCT
fis-3231	206	15	frattura	frattura	PROPN
fis-3231	206	16	ed	ed	PROPN
fis-3231	206	17	integrità	integrità	PROPN
fis-3231	206	18	strutturale	strutturale	PROPN
fis-3231	206	19	,	,	PUNCT
fis-3231	206	20	58	58	NUM
fis-3231	206	21	(	(	PUNCT
fis-3231	206	22	2021	2021	NUM
fis-3231	206	23	)	)	PUNCT
fis-3231	206	24	254	254	NUM
fis-3231	206	25	-	-	SYM
fis-3231	206	26	271	271	NUM
fis-3231	206	27	;	;	PUNCT
fis-3231	206	28	doi	doi	NOUN
fis-3231	206	29	:	:	PUNCT
fis-3231	206	30	10.3221	10.3221	NUM
fis-3231	206	31	/	/	SYM
fis-3231	206	32	igf	igf	PROPN
fis-3231	206	33	-	-	PUNCT
fis-3231	206	34	esis.58.19	esis.58.19	PROPN
fis-3231	206	35	261	261	NUM
fis-3231	206	36	experimental	experimental	ADJ
fis-3231	206	37	method	method	NOUN
fis-3231	206	38	he	he	PRON
fis-3231	206	39	aim	aim	VERB
fis-3231	206	40	of	of	ADP
fis-3231	206	41	the	the	DET
fis-3231	206	42	experimental	experimental	ADJ
fis-3231	206	43	test	test	NOUN
fis-3231	206	44	is	be	AUX
fis-3231	206	45	to	to	PART
fis-3231	206	46	validate	validate	VERB
fis-3231	206	47	the	the	DET
fis-3231	206	48	analytical	analytical	ADJ
fis-3231	206	49	model	model	NOUN
fis-3231	206	50	proposed	propose	VERB
fis-3231	206	51	in	in	ADP
fis-3231	206	52	the	the	DET
fis-3231	206	53	previous	previous	ADJ
fis-3231	206	54	section	section	NOUN
fis-3231	206	55	.	.	PUNCT
fis-3231	207	1	the	the	DET
fis-3231	207	2	model	model	NOUN
fis-3231	207	3	can	can	AUX
fis-3231	207	4	be	be	AUX
fis-3231	207	5	validated	validate	VERB
fis-3231	207	6	through	through	ADP
fis-3231	207	7	a	a	DET
fis-3231	207	8	comparison	comparison	NOUN
fis-3231	207	9	with	with	ADP
fis-3231	207	10	the	the	DET
fis-3231	207	11	vibration	vibration	NOUN
fis-3231	207	12	of	of	ADP
fis-3231	207	13	cantilever	cantilever	NOUN
fis-3231	207	14	beam	beam	NOUN
fis-3231	207	15	with	with	ADP
fis-3231	207	16	an	an	DET
fis-3231	207	17	intermediate	intermediate	ADJ
fis-3231	207	18	fixed	fix	VERB
fis-3231	207	19	mass	mass	NOUN
fis-3231	207	20	.	.	PUNCT
fis-3231	208	1	in	in	ADP
fis-3231	208	2	this	this	DET
fis-3231	208	3	way	way	NOUN
fis-3231	208	4	a	a	DET
fis-3231	208	5	more	more	ADV
fis-3231	208	6	complex	complex	ADJ
fis-3231	208	7	experimental	experimental	ADJ
fis-3231	208	8	test	test	NOUN
fis-3231	208	9	as	as	ADP
fis-3231	208	10	gas	gas	NOUN
fis-3231	208	11	gun	gun	NOUN
fis-3231	208	12	test	test	NOUN
fis-3231	208	13	is	be	AUX
fis-3231	208	14	avoided	avoid	VERB
fis-3231	208	15	[	[	X
fis-3231	208	16	28	28	NUM
fis-3231	208	17	,	,	PUNCT
fis-3231	208	18	29	29	NUM
fis-3231	208	19	]	]	PUNCT
fis-3231	208	20	.	.	PUNCT
fis-3231	209	1	the	the	DET
fis-3231	209	2	specimen	speciman	NOUN
fis-3231	209	3	is	be	AUX
fis-3231	209	4	subjected	subject	VERB
fis-3231	209	5	to	to	ADP
fis-3231	209	6	an	an	DET
fis-3231	209	7	impulse	impulse	NOUN
fis-3231	209	8	at	at	ADP
fis-3231	209	9	its	its	PRON
fis-3231	209	10	free	free	ADJ
fis-3231	209	11	end	end	NOUN
fis-3231	209	12	and	and	CCONJ
fis-3231	209	13	the	the	DET
fis-3231	209	14	history	history	NOUN
fis-3231	209	15	of	of	ADP
fis-3231	209	16	the	the	DET
fis-3231	209	17	oscillation	oscillation	NOUN
fis-3231	209	18	amplitude	amplitude	NOUN
fis-3231	209	19	is	be	AUX
fis-3231	209	20	measured	measure	VERB
fis-3231	209	21	.	.	PUNCT
fis-3231	210	1	during	during	ADP
fis-3231	210	2	beam	beam	NOUN
fis-3231	210	3	oscillations	oscillation	NOUN
fis-3231	210	4	,	,	PUNCT
fis-3231	210	5	the	the	DET
fis-3231	210	6	longitudinal	longitudinal	ADJ
fis-3231	210	7	section	section	NOUN
fis-3231	210	8	was	be	AUX
fis-3231	210	9	recorded	record	VERB
fis-3231	210	10	by	by	ADP
fis-3231	210	11	a	a	DET
fis-3231	210	12	high	high	ADJ
fis-3231	210	13	speed	speed	NOUN
fis-3231	210	14	camera	camera	NOUN
fis-3231	210	15	(	(	PUNCT
fis-3231	210	16	model	model	NOUN
fis-3231	210	17	fastcam	fastcam	PROPN
fis-3231	210	18	photron	photron	PROPN
fis-3231	210	19			PROPN
fis-3231	210	20	sa4	sa4	NOUN
fis-3231	210	21	)	)	PUNCT
fis-3231	210	22	at	at	ADP
fis-3231	210	23	frame	frame	NOUN
fis-3231	210	24	rate	rate	NOUN
fis-3231	210	25	of	of	ADP
fis-3231	210	26	10000	10000	NUM
fis-3231	210	27	hz	hz	VERB
fis-3231	210	28	.	.	PUNCT
fis-3231	210	29	by	by	ADP
fis-3231	210	30	means	mean	NOUN
fis-3231	210	31	of	of	ADP
fis-3231	210	32	the	the	DET
fis-3231	210	33	matlab	matlab	PROPN
fis-3231	210	34	image	image	NOUN
fis-3231	210	35	processing	processing	NOUN
fis-3231	210	36	toolbox	toolbox	NOUN
fis-3231	210	37	,	,	PUNCT
fis-3231	210	38	each	each	DET
fis-3231	210	39	photo	photo	NOUN
fis-3231	210	40	has	have	AUX
fis-3231	210	41	binarized	binarize	VERB
fis-3231	210	42	and	and	CCONJ
fis-3231	210	43	processed	process	VERB
fis-3231	210	44	to	to	PART
fis-3231	210	45	obtain	obtain	VERB
fis-3231	210	46	the	the	DET
fis-3231	210	47	profile	profile	NOUN
fis-3231	210	48	of	of	ADP
fis-3231	210	49	beam	beam	ADJ
fis-3231	210	50	longitudinal	longitudinal	ADJ
fis-3231	210	51	section	section	NOUN
fis-3231	210	52	,	,	PUNCT
fis-3231	210	53	as	as	SCONJ
fis-3231	210	54	shown	show	VERB
fis-3231	210	55	in	in	ADP
fis-3231	210	56	fig.3	fig.3	PROPN
fis-3231	210	57	.	.	PUNCT
fis-3231	211	1	more	more	ADJ
fis-3231	211	2	detail	detail	NOUN
fis-3231	211	3	of	of	ADP
fis-3231	211	4	the	the	DET
fis-3231	211	5	experimental	experimental	ADJ
fis-3231	211	6	test	test	NOUN
fis-3231	211	7	can	can	AUX
fis-3231	211	8	be	be	AUX
fis-3231	211	9	found	find	VERB
fis-3231	211	10	in	in	ADP
fis-3231	211	11	utzeri	utzeri	PROPN
fis-3231	211	12	et	et	PROPN
fis-3231	211	13	al	al	PROPN
fis-3231	211	14	.	.	PROPN
fis-3231	211	15	work	work	PROPN
fis-3231	212	1	[	[	X
fis-3231	212	2	15	15	NUM
fis-3231	212	3	]	]	PUNCT
fis-3231	212	4	.	.	PUNCT
fis-3231	213	1	the	the	DET
fis-3231	213	2	specimen	speciman	NOUN
fis-3231	213	3	is	be	AUX
fis-3231	213	4	a	a	DET
fis-3231	213	5	rectangular	rectangular	ADJ
fis-3231	213	6	beam	beam	NOUN
fis-3231	213	7	made	make	VERB
fis-3231	213	8	of	of	ADP
fis-3231	213	9	carbon	carbon	NOUN
fis-3231	213	10	fibre	fibre	NOUN
fis-3231	213	11	reinforced	reinforce	VERB
fis-3231	213	12	polymer	polymer	NOUN
fis-3231	213	13	pre	pre	NOUN
fis-3231	213	14	-	-	ADJ
fis-3231	213	15	preg	preg	ADJ
fis-3231	213	16	t700	t700	PROPN
fis-3231	213	17	twill	twill	NOUN
fis-3231	213	18	.	.	PUNCT
fis-3231	214	1	the	the	DET
fis-3231	214	2	linear	linear	ADJ
fis-3231	214	3	density	density	NOUN
fis-3231	214	4	of	of	ADP
fis-3231	214	5	the	the	DET
fis-3231	214	6	beam	beam	NOUN
fis-3231	214	7	m	m	VERB
fis-3231	214	8	is	be	AUX
fis-3231	214	9	0.0681	0.0681	NUM
fis-3231	214	10	kg	kg	NOUN
fis-3231	214	11	m	m	NOUN
fis-3231	214	12	.	.	PUNCT
fis-3231	215	1	the	the	DET
fis-3231	215	2	flexural	flexural	PROPN
fis-3231	215	3	young	young	PROPN
fis-3231	215	4	’s	’s	PART
fis-3231	215	5	modulus	modulus	NOUN
fis-3231	215	6	,	,	PUNCT
fis-3231	215	7	i.e.	i.e.	X
fis-3231	215	8	e	e	NOUN
fis-3231	215	9	,	,	PUNCT
fis-3231	215	10	are	be	AUX
fis-3231	215	11	determined	determine	VERB
fis-3231	215	12	experimentally	experimentally	ADV
fis-3231	215	13	through	through	ADP
fis-3231	215	14	the	the	DET
fis-3231	215	15	standard	standard	ADJ
fis-3231	215	16	test	test	NOUN
fis-3231	215	17	method	method	NOUN
fis-3231	215	18	for	for	ADP
fis-3231	215	19	flexural	flexural	ADJ
fis-3231	215	20	properties	property	NOUN
fis-3231	215	21	of	of	ADP
fis-3231	215	22	polymer	polymer	NOUN
fis-3231	215	23	matrix	matrix	NOUN
fis-3231	215	24	composite	composite	ADJ
fis-3231	215	25	materials	material	NOUN
fis-3231	215	26	(	(	PUNCT
fis-3231	215	27	astm	astm	PROPN
fis-3231	215	28	d7264	d7264	VERB
fis-3231	215	29	/	/	SYM
fis-3231	215	30	d7264	d7264	NOUN
fis-3231	215	31	m	m	NOUN
fis-3231	215	32	)	)	PUNCT
fis-3231	215	33	,	,	PUNCT
fis-3231	215	34	and	and	CCONJ
fis-3231	215	35	it	it	PRON
fis-3231	215	36	is	be	AUX
fis-3231	215	37	44951	44951	NUM
fis-3231	215	38	2	2	NUM
fis-3231	215	39	n	n	NUM
fis-3231	215	40	mm	mm	NOUN
fis-3231	215	41	.	.	PUNCT
fis-3231	216	1	the	the	DET
fis-3231	216	2	beam	beam	PROPN
fis-3231	216	3	cross	cross	NOUN
fis-3231	216	4	-	-	NOUN
fis-3231	216	5	section	section	NOUN
fis-3231	216	6	is	be	AUX
fis-3231	216	7	rectangular	rectangular	ADJ
fis-3231	216	8	,	,	PUNCT
fis-3231	216	9	where	where	SCONJ
fis-3231	216	10	the	the	DET
fis-3231	216	11	base	base	NOUN
fis-3231	216	12	is	be	AUX
fis-3231	216	13	25.05	25.05	NUM
fis-3231	216	14	mm	mm	NOUN
fis-3231	216	15	and	and	CCONJ
fis-3231	216	16	the	the	DET
fis-3231	216	17	height	height	NOUN
fis-3231	216	18	is	be	AUX
fis-3231	216	19	1.85	1.85	NUM
fis-3231	216	20	mm	mm	NOUN
fis-3231	216	21	.	.	PUNCT
fis-3231	217	1	figure	figure	NOUN
fis-3231	217	2	3	3	NUM
fis-3231	217	3	:	:	PUNCT
fis-3231	217	4	image	image	NOUN
fis-3231	217	5	processing	processing	NOUN
fis-3231	217	6	which	which	PRON
fis-3231	217	7	shows	show	VERB
fis-3231	217	8	the	the	DET
fis-3231	217	9	transverse	transverse	ADJ
fis-3231	217	10	vibration	vibration	NOUN
fis-3231	217	11	of	of	ADP
fis-3231	217	12	the	the	DET
fis-3231	217	13	beam	beam	NOUN
fis-3231	217	14	.	.	PUNCT
fis-3231	218	1	the	the	DET
fis-3231	218	2	blue	blue	ADJ
fis-3231	218	3	lines	line	NOUN
fis-3231	218	4	represents	represent	VERB
fis-3231	218	5	the	the	DET
fis-3231	218	6	upper	upper	ADJ
fis-3231	218	7	and	and	CCONJ
fis-3231	218	8	lower	low	ADJ
fis-3231	218	9	profiles	profile	NOUN
fis-3231	218	10	of	of	ADP
fis-3231	218	11	the	the	DET
fis-3231	218	12	beam	beam	NOUN
fis-3231	218	13	.	.	PUNCT
fis-3231	219	1	the	the	DET
fis-3231	219	2	circle	circle	NOUN
fis-3231	219	3	line	line	NOUN
fis-3231	219	4	and	and	CCONJ
fis-3231	219	5	the	the	DET
fis-3231	219	6	red	red	ADJ
fis-3231	219	7	line	line	NOUN
fis-3231	219	8	can	can	AUX
fis-3231	219	9	be	be	AUX
fis-3231	219	10	associated	associate	VERB
fis-3231	219	11	with	with	ADP
fis-3231	219	12	the	the	DET
fis-3231	219	13	the	the	DET
fis-3231	219	14	neutral	neutral	ADJ
fis-3231	219	15	axis	axis	NOUN
fis-3231	219	16	and	and	CCONJ
fis-3231	219	17	the	the	DET
fis-3231	219	18	trajectory	trajectory	NOUN
fis-3231	219	19	of	of	ADP
fis-3231	219	20	one	one	NUM
fis-3231	219	21	beam	beam	NOUN
fis-3231	219	22	point	point	NOUN
fis-3231	219	23	,	,	PUNCT
fis-3231	219	24	respectively	respectively	ADV
fis-3231	219	25	.	.	PUNCT
fis-3231	220	1	nonlinearities	nonlinearitie	NOUN
fis-3231	220	2	identification	identification	NOUN
fis-3231	220	3	ollowing	ollowing	NOUN
fis-3231	220	4	[	[	X
fis-3231	220	5	20	20	NUM
fis-3231	220	6	,	,	PUNCT
fis-3231	220	7	21	21	NUM
fis-3231	220	8	]	]	PUNCT
fis-3231	220	9	,	,	PUNCT
fis-3231	220	10	the	the	DET
fis-3231	220	11	results	result	NOUN
fis-3231	220	12	were	be	AUX
fis-3231	220	13	post	post	ADJ
fis-3231	220	14	-	-	VERB
fis-3231	220	15	processed	process	VERB
fis-3231	220	16	by	by	ADP
fis-3231	220	17	the	the	DET
fis-3231	220	18	fitting	fitting	ADJ
fis-3231	220	19	time	time	NOUN
fis-3231	220	20	history	history	NOUN
fis-3231	220	21	(	(	PUNCT
fis-3231	220	22	fth	fth	NOUN
fis-3231	220	23	)	)	PUNCT
fis-3231	220	24	technique	technique	NOUN
fis-3231	220	25	,	,	PUNCT
fis-3231	220	26	which	which	PRON
fis-3231	220	27	is	be	AUX
fis-3231	220	28	based	base	VERB
fis-3231	220	29	on	on	ADP
fis-3231	220	30	the	the	DET
fis-3231	220	31	least	least	ADJ
fis-3231	220	32	square	square	ADJ
fis-3231	220	33	approxi	approxi	NOUN
fis-3231	220	34	-	-	PUNCT
fis-3231	220	35	mation	mation	NOUN
fis-3231	220	36	of	of	ADP
fis-3231	220	37	the	the	DET
fis-3231	220	38	measured	measure	VERB
fis-3231	220	39	free	free	ADJ
fis-3231	220	40	damped	damped	NOUN
fis-3231	220	41	vibrations	vibration	NOUN
fis-3231	220	42	.	.	PUNCT
fis-3231	221	1	fth	fth	NOUN
fis-3231	221	2	technique	technique	NOUN
fis-3231	221	3	permits	permit	NOUN
fis-3231	221	4	to	to	PART
fis-3231	221	5	reveal	reveal	VERB
fis-3231	221	6	how	how	SCONJ
fis-3231	221	7	the	the	DET
fis-3231	221	8	natural	natural	ADJ
fis-3231	221	9	frequencies	frequency	NOUN
fis-3231	221	10	as	as	ADV
fis-3231	221	11	well	well	ADV
fis-3231	221	12	as	as	ADP
fis-3231	221	13	the	the	DET
fis-3231	221	14	modal	modal	NOUN
fis-3231	221	15	damping	damp	VERB
fis-3231	221	16	coefficients	coefficient	NOUN
fis-3231	221	17	depend	depend	VERB
fis-3231	221	18	nonlinearly	nonlinearly	ADV
fis-3231	221	19	on	on	ADP
fis-3231	221	20	the	the	DET
fis-3231	221	21	excitation	excitation	NOUN
fis-3231	221	22	amplitude	amplitude	NOUN
fis-3231	221	23	in	in	ADP
fis-3231	221	24	each	each	DET
fis-3231	221	25	i	i	PRON
fis-3231	221	26	-th	-th	NOUN
fis-3231	221	27	mode	mode	NOUN
fis-3231	221	28	.	.	PUNCT
fis-3231	222	1	consequently	consequently	ADV
fis-3231	222	2	,	,	PUNCT
fis-3231	222	3	this	this	DET
fis-3231	222	4	technique	technique	NOUN
fis-3231	222	5	is	be	AUX
fis-3231	222	6	coherent	coherent	ADJ
fis-3231	222	7	with	with	ADP
fis-3231	222	8	the	the	DET
fis-3231	222	9	analytical	analytical	ADJ
fis-3231	222	10	method	method	NOUN
fis-3231	222	11	involved	involve	VERB
fis-3231	222	12	in	in	ADP
fis-3231	222	13	analytical	analytical	ADJ
fis-3231	222	14	section	section	NOUN
fis-3231	222	15	,	,	PUNCT
fis-3231	222	16	i.e.	i.e.	X
fis-3231	222	17	multimodal	multimodal	ADJ
fis-3231	222	18	approach	approach	NOUN
fis-3231	222	19	.	.	PUNCT
fis-3231	223	1	according	accord	VERB
fis-3231	223	2	to	to	ADP
fis-3231	223	3	eqn.(23	eqn.(23	NOUN
fis-3231	223	4	)	)	PUNCT
fis-3231	223	5	,	,	PUNCT
fis-3231	223	6	and	and	CCONJ
fis-3231	223	7	retaining	retain	VERB
fis-3231	223	8	only	only	ADV
fis-3231	223	9	the	the	DET
fis-3231	223	10	term	term	NOUN
fis-3231	223	11	proportional	proportional	ADJ
fis-3231	223	12	to	to	ADP
fis-3231	223	13	a	a	PRON
fis-3231	223	14	,	,	PUNCT
fis-3231	223	15	during	during	ADP
fis-3231	223	16	the	the	DET
fis-3231	223	17	free	free	ADJ
fis-3231	223	18	oscillations	oscillation	NOUN
fis-3231	223	19	the	the	DET
fis-3231	223	20	amplitude	amplitude	NOUN
fis-3231	223	21	iq	iq	NOUN
fis-3231	223	22	of	of	ADP
fis-3231	223	23	the	the	DET
fis-3231	223	24	i	i	PROPN
fis-3231	223	25	-th	-th	NOUN
fis-3231	223	26	mode	mode	NOUN
fis-3231	223	27	is	be	AUX
fis-3231	223	28	given	give	VERB
fis-3231	223	29	by	by	ADP
fis-3231	223	30			NOUN
fis-3231	223	31			PROPN
fis-3231	223	32			NOUN
fis-3231	223	33			SYM
fis-3231	223	34			NOUN
fis-3231	223	35			PUNCT
fis-3231	223	36			PROPN
fis-3231	223	37			NOUN
fis-3231	223	38			NOUN
fis-3231	223	39			VERB
fis-3231	223	40			NUM
fis-3231	223	41			PROPN
fis-3231	223	42			NOUN
fis-3231	223	43	0	0	NUM
fis-3231	223	44	,	,	PUNCT
fis-3231	223	45	s	s	VERB
fis-3231	223	46	in	in	ADP
fis-3231	223	47	φi	φi	ADP
fis-3231	223	48	il	il	PROPN
fis-3231	223	49	i	i	PROPN
fis-3231	223	50	n	n	CCONJ
fis-3231	223	51	n	n	NOUN
fis-3231	224	1	i	i	PRON
fis-3231	224	2	q	q	PROPN
fis-3231	224	3	t	t	PROPN
fis-3231	224	4	l	l	NOUN
fis-3231	224	5	a	a	PROPN
fis-3231	224	6	t	t	NOUN
fis-3231	224	7	(	(	PUNCT
fis-3231	224	8	32	32	NUM
fis-3231	224	9	)	)	PUNCT
fis-3231	224	10	where	where	SCONJ
fis-3231	224	11			NOUN
fis-3231	224	12			PROPN
fis-3231	224	13			NOUN
fis-3231	225	1			X
fis-3231	226	1	i	i	PRON
fis-3231	226	2	i	i	PRON
fis-3231	227	1	t	t	VERB
fis-3231	228	1	i	i	PRON
fis-3231	228	2	ia	ia	PROPN
fis-3231	228	3	t	t	PROPN
fis-3231	228	4	b	b	PROPN
fis-3231	228	5	e	e	PROPN
fis-3231	228	6	represents	represent	VERB
fis-3231	228	7	the	the	DET
fis-3231	228	8	oscillation	oscillation	NOUN
fis-3231	228	9	amplitude	amplitude	NOUN
fis-3231	228	10	,	,	PUNCT
fis-3231	228	11	which	which	PRON
fis-3231	228	12	is	be	AUX
fis-3231	228	13	assumed	assume	VERB
fis-3231	228	14	to	to	PART
fis-3231	228	15	vary	vary	VERB
fis-3231	228	16	in	in	ADP
fis-3231	228	17	time	time	NOUN
fis-3231	228	18	because	because	SCONJ
fis-3231	228	19	of	of	ADP
fis-3231	228	20	the	the	DET
fis-3231	228	21	damping	damping	NOUN
fis-3231	228	22	.	.	PUNCT
fis-3231	229	1			NOUN
fis-3231	230	1			PUNCT
fis-3231	230	2			X
fis-3231	230	3			PUNCT
fis-3231	230	4	1il	1il	NOUN
fis-3231	231	1	i	i	PRON
fis-3231	231	2	i	i	PRON
fis-3231	231	3	is	be	AUX
fis-3231	231	4	the	the	DET
fis-3231	231	5	damped	damped	ADJ
fis-3231	231	6	frequency	frequency	NOUN
fis-3231	231	7	,	,	PUNCT
fis-3231	231	8	i	i	X
fis-3231	231	9	is	be	AUX
fis-3231	231	10	the	the	DET
fis-3231	231	11	natural	natural	ADJ
fis-3231	231	12	frequency	frequency	NOUN
fis-3231	231	13	,	,	PUNCT
fis-3231	231	14	i	i	PUNCT
fis-3231	231	15	is	be	AUX
fis-3231	231	16	the	the	DET
fis-3231	231	17	damping	damp	VERB
fis-3231	231	18	coefficient	coefficient	NOUN
fis-3231	231	19	and	and	CCONJ
fis-3231	231	20	ib	ib	NOUN
fis-3231	231	21	and	and	CCONJ
fis-3231	231	22	i	i	NOUN
fis-3231	231	23	are	be	AUX
fis-3231	231	24	the	the	DET
fis-3231	231	25	starting	start	VERB
fis-3231	231	26	amplitude	amplitude	NOUN
fis-3231	231	27	and	and	CCONJ
fis-3231	231	28	the	the	DET
fis-3231	231	29	phase	phase	NOUN
fis-3231	231	30	delay	delay	NOUN
fis-3231	231	31	,	,	PUNCT
fis-3231	231	32	respectively	respectively	ADV
fis-3231	231	33	,	,	PUNCT
fis-3231	231	34	that	that	PRON
fis-3231	231	35	depend	depend	VERB
fis-3231	231	36	on	on	ADP
fis-3231	231	37	the	the	DET
fis-3231	231	38	initial	initial	ADJ
fis-3231	231	39	conditions	condition	NOUN
fis-3231	231	40	.	.	PUNCT
fis-3231	232	1	the	the	DET
fis-3231	232	2	linear	linear	ADJ
fis-3231	232	3	frequency	frequency	NOUN
fis-3231	232	4	is	be	AUX
fis-3231	232	5	initially	initially	ADV
fis-3231	232	6	t	t	PROPN
fis-3231	232	7	f	f	PROPN
fis-3231	232	8	m.	m.	PROPN
fis-3231	232	9	utzeri	utzeri	PROPN
fis-3231	232	10	et	et	PROPN
fis-3231	232	11	alii	alii	PROPN
fis-3231	232	12	,	,	PUNCT
fis-3231	232	13	frattura	frattura	PROPN
fis-3231	232	14	ed	ed	PROPN
fis-3231	232	15	integrità	integrità	PROPN
fis-3231	232	16	strutturale	strutturale	PROPN
fis-3231	232	17	,	,	PUNCT
fis-3231	232	18	58	58	NUM
fis-3231	232	19	(	(	PUNCT
fis-3231	232	20	2021	2021	NUM
fis-3231	232	21	)	)	PUNCT
fis-3231	232	22	254	254	NUM
fis-3231	232	23	-	-	SYM
fis-3231	232	24	271	271	NUM
fis-3231	232	25	;	;	PUNCT
fis-3231	232	26	doi	doi	NOUN
fis-3231	232	27	:	:	PUNCT
fis-3231	232	28	10.3221	10.3221	NUM
fis-3231	232	29	/	/	SYM
fis-3231	232	30	igf	igf	PROPN
fis-3231	232	31	-	-	PUNCT
fis-3231	232	32	esis.58.19	esis.58.19	PROPN
fis-3231	232	33	262	262	NUM
fis-3231	232	34	computed	compute	VERB
fis-3231	232	35	by	by	ADP
fis-3231	232	36	the	the	DET
fis-3231	232	37	fast	fast	ADJ
fis-3231	232	38	fourier	fourier	NOUN
fis-3231	232	39	transform	transform	NOUN
fis-3231	232	40	(	(	PUNCT
fis-3231	232	41	fft	fft	PROPN
fis-3231	232	42	)	)	PUNCT
fis-3231	232	43	.	.	PUNCT
fis-3231	233	1	the	the	DET
fis-3231	233	2	nonlinear	nonlinear	ADJ
fis-3231	233	3	frequency	frequency	NOUN
fis-3231	233	4	is	be	AUX
fis-3231	233	5	a	a	DET
fis-3231	233	6	function	function	NOUN
fis-3231	233	7	of	of	ADP
fis-3231	233	8	the	the	DET
fis-3231	233	9	amplitude	amplitude	NOUN
fis-3231	233	10	thus	thus	ADV
fis-3231	233	11	,	,	PUNCT
fis-3231	233	12	according	accord	VERB
fis-3231	233	13	to	to	ADP
fis-3231	233	14	eqn.(24	eqn.(24	PROPN
fis-3231	233	15	)	)	PUNCT
fis-3231	233	16	,	,	PUNCT
fis-3231	233	17	we	we	PRON
fis-3231	233	18	assume	assume	VERB
fis-3231	233	19	:	:	PUNCT
fis-3231	233	20			NOUN
fis-3231	233	21			SYM
fis-3231	233	22			NOUN
fis-3231	233	23			SYM
fis-3231	233	24			NOUN
fis-3231	234	1			INTJ
fis-3231	234	2			X
fis-3231	235	1			X
fis-3231	235	2			PUNCT
fis-3231	235	3			ADV
fis-3231	235	4	2	2	PROPN
fis-3231	235	5	4	4	NUM
fis-3231	235	6	0	0	NUM
fis-3231	235	7	2	2	NUM
fis-3231	235	8	4il	4il	NOUN
fis-3231	236	1	i	i	PRON
fis-3231	236	2	i	i	PRON
fis-3231	237	1	i	i	PRON
fis-3231	237	2	i	i	PRON
fis-3231	237	3	it	it	PRON
fis-3231	237	4	a	a	DET
fis-3231	237	5	t	t	NOUN
fis-3231	237	6	a	a	DET
fis-3231	237	7	t	t	NOUN
fis-3231	237	8	(	(	PUNCT
fis-3231	237	9	33	33	NUM
fis-3231	237	10	)	)	PUNCT
fis-3231	237	11	where	where	SCONJ
fis-3231	237	12			PROPN
fis-3231	237	13	0i	0i	NOUN
fis-3231	237	14	is	be	AUX
fis-3231	237	15	the	the	DET
fis-3231	237	16	linear	linear	ADJ
fis-3231	237	17	(	(	PUNCT
fis-3231	237	18	natural	natural	ADJ
fis-3231	237	19	)	)	PUNCT
fis-3231	237	20	frequency	frequency	NOUN
fis-3231	237	21	and	and	CCONJ
fis-3231	237	22	ij	ij	NOUN
fis-3231	237	23	are	be	AUX
fis-3231	237	24	the	the	DET
fis-3231	237	25	nonlinear	nonlinear	ADJ
fis-3231	237	26	correction	correction	NOUN
fis-3231	237	27	terms	term	NOUN
fis-3231	237	28	of	of	ADP
fis-3231	237	29	j	j	PROPN
fis-3231	237	30	-th	-th	NOUN
fis-3231	237	31	order	order	NOUN
fis-3231	237	32	for	for	ADP
fis-3231	237	33	the	the	DET
fis-3231	237	34	i	i	PROPN
fis-3231	237	35	-th	-th	NOUN
fis-3231	237	36	mode	mode	NOUN
fis-3231	237	37	.	.	PUNCT
fis-3231	238	1	consistently	consistently	ADV
fis-3231	238	2	with	with	ADP
fis-3231	238	3	the	the	DET
fis-3231	238	4	above	above	ADJ
fis-3231	238	5	explained	explain	VERB
fis-3231	238	6	approach	approach	NOUN
fis-3231	238	7	,	,	PUNCT
fis-3231	238	8	the	the	DET
fis-3231	238	9	nonlinear	nonlinear	ADJ
fis-3231	238	10	damping	damping	NOUN
fis-3231	238	11	has	have	AUX
fis-3231	238	12	been	be	AUX
fis-3231	238	13	assumed	assume	VERB
fis-3231	238	14	as	as	ADP
fis-3231	238	15	:	:	PUNCT
fis-3231	238	16			NOUN
fis-3231	238	17			PROPN
fis-3231	238	18			NOUN
fis-3231	238	19			SYM
fis-3231	238	20			NOUN
fis-3231	238	21			NOUN
fis-3231	238	22			NOUN
fis-3231	238	23			X
fis-3231	238	24			PUNCT
fis-3231	238	25			X
fis-3231	238	26			X
fis-3231	238	27	2	2	NUM
fis-3231	238	28	0	0	NUM
fis-3231	238	29	1	1	NUM
fis-3231	238	30	2il	2il	NOUN
fis-3231	239	1	i	i	PRON
fis-3231	239	2	i	i	PRON
fis-3231	240	1	i	i	PRON
fis-3231	240	2	i	i	PRON
fis-3231	240	3	it	it	PRON
fis-3231	240	4	a	a	DET
fis-3231	240	5	t	t	NOUN
fis-3231	240	6	a	a	DET
fis-3231	240	7	t	t	NOUN
fis-3231	240	8	(	(	PUNCT
fis-3231	240	9	34	34	NUM
fis-3231	240	10	)	)	PUNCT
fis-3231	240	11	fth	fth	NOUN
fis-3231	240	12	optimization	optimization	NOUN
fis-3231	240	13	needs	need	VERB
fis-3231	240	14	a	a	DET
fis-3231	240	15	cost	cost	NOUN
fis-3231	240	16	or	or	CCONJ
fis-3231	240	17	error	error	NOUN
fis-3231	240	18	function	function	NOUN
fis-3231	240	19	to	to	PART
fis-3231	240	20	be	be	AUX
fis-3231	240	21	minimized	minimize	VERB
fis-3231	240	22	.	.	PUNCT
fis-3231	241	1	therefore	therefore	ADV
fis-3231	241	2	,	,	PUNCT
fis-3231	241	3	the	the	DET
fis-3231	241	4	normal	normal	ADJ
fis-3231	241	5	root	root	NOUN
fis-3231	241	6	means	mean	VERB
fis-3231	241	7	square	square	ADJ
fis-3231	241	8	deviation	deviation	NOUN
fis-3231	241	9	(	(	PUNCT
fis-3231	241	10	nrsmd	nrsmd	NOUN
fis-3231	241	11	)	)	PUNCT
fis-3231	241	12	between	between	ADP
fis-3231	241	13	analytical	analytical	ADJ
fis-3231	241	14	function	function	NOUN
fis-3231	241	15	and	and	CCONJ
fis-3231	241	16	experimental	experimental	ADJ
fis-3231	241	17	measures	measure	NOUN
fis-3231	241	18	is	be	AUX
fis-3231	241	19	used	use	VERB
fis-3231	241	20	:	:	PUNCT
fis-3231	241	21			NOUN
fis-3231	241	22			SYM
fis-3231	241	23			ADJ
fis-3231	241	24			NOUN
fis-3231	241	25			X
fis-3231	241	26			PROPN
fis-3231	241	27			PROPN
fis-3231	241	28			PROPN
fis-3231	241	29			NOUN
fis-3231	241	30			NUM
fis-3231	241	31	2	2	NUM
fis-3231	241	32	1	1	NUM
fis-3231	241	33	(	(	PUNCT
fis-3231	241	34	)	)	PUNCT
fis-3231	241	35	,	,	PUNCT
fis-3231	241	36	,	,	PUNCT
fis-3231	241	37	,	,	PUNCT
fis-3231	241	38	  	  	SPACE
fis-3231	241	39	ˆ	ˆ	NOUN
fis-3231	241	40	n	n	VERB
fis-3231	241	41	k	k	X
fis-3231	241	42	kk	kk	INTJ
fis-3231	242	1	ij	ij	INTJ
fis-3231	242	2	ij	ij	INTJ
fis-3231	243	1	i	i	PRON
fis-3231	244	1	i	i	PRON
fis-3231	244	2	q	q	VERB
fis-3231	244	3	y	y	PROPN
fis-3231	244	4	nnrsmd	nnrsmd	PROPN
fis-3231	244	5	b	b	PROPN
fis-3231	244	6	max	max	PROPN
fis-3231	244	7	y	y	PROPN
fis-3231	244	8	(	(	PUNCT
fis-3231	244	9	35	35	NUM
fis-3231	244	10	)	)	PUNCT
fis-3231	244	11	where	where	SCONJ
fis-3231	244	12	n	n	PRON
fis-3231	244	13	is	be	AUX
fis-3231	244	14	the	the	DET
fis-3231	244	15	number	number	NOUN
fis-3231	244	16	of	of	ADP
fis-3231	244	17	acquired	acquire	VERB
fis-3231	244	18	samples	sample	NOUN
fis-3231	244	19	,	,	PUNCT
fis-3231	244	20	ky	ky	NOUN
fis-3231	244	21	is	be	AUX
fis-3231	244	22	the	the	DET
fis-3231	244	23	k	k	PROPN
fis-3231	244	24	-th	-th	ADJ
fis-3231	244	25	experimental	experimental	ADJ
fis-3231	244	26	observation	observation	NOUN
fis-3231	244	27	,	,	PUNCT
fis-3231	244	28	kq	kq	PROPN
fis-3231	244	29	is	be	AUX
fis-3231	244	30	the	the	DET
fis-3231	244	31	value	value	NOUN
fis-3231	244	32	of	of	ADP
fis-3231	244	33	the	the	DET
fis-3231	244	34	analytical	analytical	ADJ
fis-3231	244	35	function	function	NOUN
fis-3231	244	36	at	at	ADP
fis-3231	244	37	the	the	DET
fis-3231	244	38	same	same	ADJ
fis-3231	244	39	time	time	NOUN
fis-3231	244	40	.	.	PUNCT
fis-3231	245	1	the	the	DET
fis-3231	245	2	nrsmd	nrsmd	PROPN
fis-3231	245	3	provides	provide	VERB
fis-3231	245	4	the	the	DET
fis-3231	245	5	optimal	optimal	ADJ
fis-3231	245	6	estimation	estimation	NOUN
fis-3231	245	7	of	of	ADP
fis-3231	245	8	the	the	DET
fis-3231	245	9	vibrational	vibrational	ADJ
fis-3231	245	10	properties	property	NOUN
fis-3231	245	11	of	of	ADP
fis-3231	245	12	the	the	DET
fis-3231	245	13	system	system	NOUN
fis-3231	245	14	(	(	PUNCT
fis-3231	245	15	linear	linear	PROPN
fis-3231	245	16	,	,	PUNCT
fis-3231	245	17			PROPN
fis-3231	245	18	0i	0i	NOUN
fis-3231	245	19	and	and	CCONJ
fis-3231	245	20			PROPN
fis-3231	245	21	0i	0i	NOUN
fis-3231	245	22	,	,	PUNCT
fis-3231	245	23	and	and	CCONJ
fis-3231	245	24	nonlinear	nonlinear	ADJ
fis-3231	245	25	,	,	PUNCT
fis-3231	245	26			PROPN
fis-3231	245	27	2i	2i	NOUN
fis-3231	245	28	,	,	PUNCT
fis-3231	245	29			PROPN
fis-3231	245	30	4i	4i	NOUN
fis-3231	245	31	,	,	PUNCT
fis-3231	245	32			PROPN
fis-3231	245	33	1i	1i	NOUN
fis-3231	245	34	and	and	CCONJ
fis-3231	245	35			NOUN
fis-3231	245	36	2i	2i	NUM
fis-3231	245	37	)	)	PUNCT
fis-3231	245	38	.	.	PUNCT
fis-3231	246	1	the	the	DET
fis-3231	246	2	minimization	minimization	NOUN
fis-3231	246	3	algorithm	algorithm	NOUN
fis-3231	246	4	was	be	AUX
fis-3231	246	5	created	create	VERB
fis-3231	246	6	in	in	ADP
fis-3231	246	7	-	-	PUNCT
fis-3231	246	8	house	house	NOUN
fis-3231	246	9	with	with	ADP
fis-3231	246	10	matlab	matlab	PROPN
fis-3231	246	11			PROPN
fis-3231	246	12	.	.	PUNCT
fis-3231	247	1	finally	finally	ADV
fis-3231	247	2	,	,	PUNCT
fis-3231	247	3	the	the	DET
fis-3231	247	4	nonlinear	nonlinear	NOUN
fis-3231	247	5	damping	damp	VERB
fis-3231	247	6	an	an	DET
fis-3231	247	7	frequency	frequency	NOUN
fis-3231	247	8	coefficients	coefficient	NOUN
fis-3231	247	9	were	be	AUX
fis-3231	247	10	progressively	progressively	ADV
fis-3231	247	11	introduced	introduce	VERB
fis-3231	247	12	into	into	ADP
fis-3231	247	13	the	the	DET
fis-3231	247	14	matlab	matlab	PROPN
fis-3231	247	15	optimization	optimization	NOUN
fis-3231	247	16	algorithm	algorithm	NOUN
fis-3231	247	17	:	:	PUNCT
fis-3231	247	18	first	first	ADJ
fis-3231	247	19	,	,	PUNCT
fis-3231	247	20	only	only	ADV
fis-3231	247	21	linear	linear	ADJ
fis-3231	247	22	terms	term	NOUN
fis-3231	247	23	where	where	SCONJ
fis-3231	247	24	considered	consider	VERB
fis-3231	247	25	,	,	PUNCT
fis-3231	247	26	then	then	ADV
fis-3231	247	27	a	a	DET
fis-3231	247	28	second	second	ADJ
fis-3231	247	29	term	term	NOUN
fis-3231	247	30	was	be	AUX
fis-3231	247	31	added	add	VERB
fis-3231	247	32	,	,	PUNCT
fis-3231	247	33	and	and	CCONJ
fis-3231	247	34	so	so	ADV
fis-3231	247	35	on	on	ADV
fis-3231	247	36	.	.	PUNCT
fis-3231	248	1	the	the	DET
fis-3231	248	2	performance	performance	NOUN
fis-3231	248	3	of	of	ADP
fis-3231	248	4	the	the	DET
fis-3231	248	5	optimization	optimization	NOUN
fis-3231	248	6	algorithm	algorithm	NOUN
fis-3231	248	7	was	be	AUX
fis-3231	248	8	observed	observe	VERB
fis-3231	248	9	to	to	PART
fis-3231	248	10	improve	improve	VERB
fis-3231	248	11	increasingly	increasingly	ADV
fis-3231	248	12	.	.	PUNCT
fis-3231	249	1	numerical	numerical	ADJ
fis-3231	249	2	model	model	PROPN
fis-3231	249	3	he	he	PRON
fis-3231	249	4	aim	aim	VERB
fis-3231	249	5	of	of	ADP
fis-3231	249	6	the	the	DET
fis-3231	249	7	numerical	numerical	ADJ
fis-3231	249	8	modelling	modelling	NOUN
fis-3231	249	9	is	be	AUX
fis-3231	249	10	to	to	PART
fis-3231	249	11	validate	validate	VERB
fis-3231	249	12	the	the	DET
fis-3231	249	13	analytical	analytical	ADJ
fis-3231	249	14	model	model	NOUN
fis-3231	249	15	proposed	propose	VERB
fis-3231	249	16	in	in	ADP
fis-3231	249	17	the	the	DET
fis-3231	249	18	analytical	analytical	ADJ
fis-3231	249	19	section	section	NOUN
fis-3231	249	20	.	.	PUNCT
fis-3231	250	1	the	the	DET
fis-3231	250	2	model	model	NOUN
fis-3231	250	3	can	can	AUX
fis-3231	250	4	be	be	AUX
fis-3231	250	5	validated	validate	VERB
fis-3231	250	6	through	through	ADP
fis-3231	250	7	a	a	DET
fis-3231	250	8	comparison	comparison	NOUN
fis-3231	250	9	with	with	ADP
fis-3231	250	10	the	the	DET
fis-3231	250	11	outcomes	outcome	NOUN
fis-3231	250	12	obtained	obtain	VERB
fis-3231	250	13	by	by	ADP
fis-3231	250	14	the	the	DET
fis-3231	250	15	impact	impact	NOUN
fis-3231	250	16	of	of	ADP
fis-3231	250	17	concentrate	concentrate	NOUN
fis-3231	250	18	mass	mass	NOUN
fis-3231	250	19	against	against	ADP
fis-3231	250	20	the	the	DET
fis-3231	250	21	cantilever	cantilever	NOUN
fis-3231	250	22	beam	beam	NOUN
fis-3231	250	23	.	.	PUNCT
fis-3231	251	1	the	the	DET
fis-3231	251	2	fem	fem	NOUN
fis-3231	251	3	analysis	analysis	NOUN
fis-3231	251	4	was	be	AUX
fis-3231	251	5	carried	carry	VERB
fis-3231	251	6	out	out	ADP
fis-3231	251	7	by	by	ADP
fis-3231	251	8	means	mean	VERB
fis-3231	251	9	abaqus	abaqus	PROPN
fis-3231	251	10			PROPN
fis-3231	251	11	software	software	NOUN
fis-3231	251	12	.	.	PUNCT
fis-3231	252	1	the	the	DET
fis-3231	252	2	elements	element	NOUN
fis-3231	252	3	such	such	ADJ
fis-3231	252	4	as	as	ADP
fis-3231	252	5	b23	b23	PROPN
fis-3231	252	6	,	,	PUNCT
fis-3231	252	7	b23h	b23h	PROPN
fis-3231	252	8	,	,	PUNCT
fis-3231	252	9	b33	b33	NOUN
fis-3231	252	10	,	,	PUNCT
fis-3231	252	11	and	and	CCONJ
fis-3231	252	12	b33h	b33h	PROPN
fis-3231	252	13	allow	allow	VERB
fis-3231	252	14	to	to	PART
fis-3231	252	15	model	model	VERB
fis-3231	252	16	an	an	DET
fis-3231	252	17	euler	euler	VERB
fis-3231	252	18	-	-	PUNCT
fis-3231	252	19	bernoulli	bernoulli	NOUN
fis-3231	252	20	beam	beam	NOUN
fis-3231	252	21	in	in	ADP
fis-3231	252	22	abqus	abqus	NOUN
fis-3231	252	23	.	.	PUNCT
fis-3231	253	1	so	so	ADV
fis-3231	253	2	,	,	PUNCT
fis-3231	253	3	they	they	PRON
fis-3231	253	4	do	do	AUX
fis-3231	253	5	not	not	PART
fis-3231	253	6	allow	allow	VERB
fis-3231	253	7	for	for	ADP
fis-3231	253	8	transverse	transverse	ADJ
fis-3231	253	9	shear	shear	NOUN
fis-3231	253	10	deformation	deformation	NOUN
fis-3231	253	11	;	;	PUNCT
fis-3231	253	12	plane	plane	NOUN
fis-3231	253	13	sections	section	NOUN
fis-3231	253	14	initially	initially	ADV
fis-3231	253	15	normal	normal	ADJ
fis-3231	253	16	to	to	ADP
fis-3231	253	17	the	the	DET
fis-3231	253	18	beam	beam	NOUN
fis-3231	253	19	’s	’s	PART
fis-3231	253	20	axis	axis	NOUN
fis-3231	253	21	remain	remain	VERB
fis-3231	253	22	plane	plane	NOUN
fis-3231	253	23	(	(	PUNCT
fis-3231	253	24	if	if	SCONJ
fis-3231	253	25	there	there	PRON
fis-3231	253	26	is	be	VERB
fis-3231	253	27	no	no	DET
fis-3231	253	28	warping	warping	NOUN
fis-3231	253	29	)	)	PUNCT
fis-3231	253	30	and	and	CCONJ
fis-3231	253	31	normal	normal	ADJ
fis-3231	253	32	to	to	ADP
fis-3231	253	33	the	the	DET
fis-3231	253	34	beam	beam	NOUN
fis-3231	253	35	axis	axis	NOUN
fis-3231	253	36	.	.	PUNCT
fis-3231	254	1	in	in	ADP
fis-3231	254	2	this	this	DET
fis-3231	254	3	study	study	NOUN
fis-3231	254	4	,	,	PUNCT
fis-3231	254	5	10000	10000	NUM
fis-3231	254	6	b23	b23	NOUN
fis-3231	254	7	beam	beam	NOUN
fis-3231	254	8	was	be	AUX
fis-3231	254	9	used	use	VERB
fis-3231	254	10	to	to	PART
fis-3231	254	11	model	model	VERB
fis-3231	254	12	the	the	DET
fis-3231	254	13	length	length	NOUN
fis-3231	254	14	of	of	ADP
fis-3231	254	15	the	the	DET
fis-3231	254	16	beam	beam	NOUN
fis-3231	254	17	.	.	PUNCT
fis-3231	255	1	the	the	DET
fis-3231	255	2	concentrate	concentrate	NOUN
fis-3231	255	3	mass	mass	NOUN
fis-3231	255	4	is	be	AUX
fis-3231	255	5	considered	consider	VERB
fis-3231	255	6	rigid	rigid	ADJ
fis-3231	255	7	with	with	ADP
fis-3231	255	8	specific	specific	ADJ
fis-3231	255	9	initial	initial	ADJ
fis-3231	255	10	condition	condition	NOUN
fis-3231	255	11	.	.	PUNCT
fis-3231	256	1	the	the	DET
fis-3231	256	2	mass	mass	NOUN
fis-3231	256	3	has	have	VERB
fis-3231	256	4	a	a	DET
fis-3231	256	5	initial	initial	ADJ
fis-3231	256	6	speed	speed	NOUN
fis-3231	256	7	0v	0v	NOUN
fis-3231	256	8	and	and	CCONJ
fis-3231	256	9	is	be	AUX
fis-3231	256	10	located	locate	VERB
fis-3231	256	11	transversely	transversely	ADV
fis-3231	256	12	at	at	ADP
fis-3231	256	13	the	the	DET
fis-3231	256	14	beam	beam	NOUN
fis-3231	256	15	at	at	ADP
fis-3231	256	16	d	d	NOUN
fis-3231	256	17	distance	distance	NOUN
fis-3231	256	18	from	from	ADP
fis-3231	256	19	the	the	DET
fis-3231	256	20	clamped	clamp	VERB
fis-3231	256	21	end	end	NOUN
fis-3231	256	22	.	.	PUNCT
fis-3231	257	1	the	the	DET
fis-3231	257	2	nonlinear	nonlinear	ADJ
fis-3231	257	3	transient	transient	ADJ
fis-3231	257	4	analysis	analysis	NOUN
fis-3231	257	5	coupled	couple	VERB
fis-3231	257	6	with	with	ADP
fis-3231	257	7	implicit	implicit	ADJ
fis-3231	257	8	solver	solver	NOUN
fis-3231	257	9	has	have	AUX
fis-3231	257	10	been	be	AUX
fis-3231	257	11	used	use	VERB
fis-3231	257	12	to	to	PART
fis-3231	257	13	compute	compute	VERB
fis-3231	257	14	the	the	DET
fis-3231	257	15	time	time	NOUN
fis-3231	257	16	history	history	NOUN
fis-3231	257	17	of	of	ADP
fis-3231	257	18	the	the	DET
fis-3231	257	19	entire	entire	ADJ
fis-3231	257	20	beam	beam	NOUN
fis-3231	257	21	deflection	deflection	NOUN
fis-3231	257	22	.	.	PUNCT
fis-3231	258	1	two	two	NUM
fis-3231	258	2	load	load	NOUN
fis-3231	258	3	step	step	NOUN
fis-3231	258	4	was	be	AUX
fis-3231	258	5	used	use	VERB
fis-3231	258	6	and	and	CCONJ
fis-3231	258	7	a	a	DET
fis-3231	258	8	very	very	ADV
fis-3231	258	9	small	small	ADJ
fis-3231	258	10	time	time	NOUN
fis-3231	258	11	step	step	NOUN
fis-3231	258	12	,	,	PUNCT
fis-3231	258	13	i.e.	i.e.	X
fis-3231	258	14	0.00001	0.00001	NUM
fis-3231	258	15	s	s	NOUN
fis-3231	258	16	,	,	PUNCT
fis-3231	258	17	was	be	AUX
fis-3231	258	18	imposed	impose	VERB
fis-3231	258	19	in	in	ADP
fis-3231	258	20	the	the	DET
fis-3231	258	21	fem	fem	NOUN
fis-3231	258	22	simulation	simulation	NOUN
fis-3231	258	23	.	.	PUNCT
fis-3231	259	1	the	the	DET
fis-3231	259	2	first	first	ADJ
fis-3231	259	3	step	step	NOUN
fis-3231	259	4	defines	define	VERB
fis-3231	259	5	the	the	DET
fis-3231	259	6	initial	initial	ADJ
fis-3231	259	7	condition	condition	NOUN
fis-3231	259	8	of	of	ADP
fis-3231	259	9	the	the	DET
fis-3231	259	10	beam	beam	NOUN
fis-3231	259	11	and	and	CCONJ
fis-3231	259	12	the	the	DET
fis-3231	259	13	mass	mass	NOUN
fis-3231	259	14	.	.	PUNCT
fis-3231	260	1	in	in	ADP
fis-3231	260	2	the	the	DET
fis-3231	260	3	second	second	ADJ
fis-3231	260	4	step	step	NOUN
fis-3231	260	5	the	the	DET
fis-3231	260	6	condition	condition	NOUN
fis-3231	260	7	on	on	ADP
fis-3231	260	8	the	the	DET
fis-3231	260	9	mass	mass	NOUN
fis-3231	260	10	speed	speed	NOUN
fis-3231	260	11	was	be	AUX
fis-3231	260	12	deleted	delete	VERB
fis-3231	260	13	.	.	PUNCT
fis-3231	261	1	so	so	ADV
fis-3231	261	2	,	,	PUNCT
fis-3231	261	3	the	the	DET
fis-3231	261	4	mass	mass	NOUN
fis-3231	261	5	can	can	AUX
fis-3231	261	6	impact	impact	VERB
fis-3231	261	7	against	against	ADP
fis-3231	261	8	the	the	DET
fis-3231	261	9	beam	beam	NOUN
fis-3231	261	10	and	and	CCONJ
fis-3231	261	11	loose	loose	VERB
fis-3231	261	12	its	its	PRON
fis-3231	261	13	velocity	velocity	NOUN
fis-3231	261	14	during	during	ADP
fis-3231	261	15	the	the	DET
fis-3231	261	16	bending	bend	VERB
fis-3231	261	17	motion	motion	NOUN
fis-3231	261	18	of	of	ADP
fis-3231	261	19	the	the	DET
fis-3231	261	20	beam	beam	NOUN
fis-3231	261	21	.	.	PUNCT
fis-3231	262	1	to	to	PART
fis-3231	262	2	avoid	avoid	VERB
fis-3231	262	3	the	the	DET
fis-3231	262	4	indentation	indentation	NOUN
fis-3231	262	5	effect	effect	NOUN
fis-3231	262	6	and	and	CCONJ
fis-3231	262	7	rebounds	rebound	VERB
fis-3231	262	8	the	the	DET
fis-3231	262	9	mass	mass	NOUN
fis-3231	262	10	was	be	AUX
fis-3231	262	11	imposed	impose	VERB
fis-3231	262	12	to	to	PART
fis-3231	262	13	be	be	AUX
fis-3231	262	14	bonded	bond	VERB
fis-3231	262	15	to	to	ADP
fis-3231	262	16	the	the	DET
fis-3231	262	17	beam	beam	NOUN
fis-3231	262	18	.	.	PUNCT
fis-3231	263	1	after	after	ADP
fis-3231	263	2	the	the	DET
fis-3231	263	3	simulation	simulation	NOUN
fis-3231	263	4	the	the	DET
fis-3231	263	5	data	datum	NOUN
fis-3231	263	6	about	about	ADP
fis-3231	263	7	speed	speed	NOUN
fis-3231	263	8	and	and	CCONJ
fis-3231	263	9	displacement	displacement	NOUN
fis-3231	263	10	were	be	AUX
fis-3231	263	11	exported	export	VERB
fis-3231	263	12	and	and	CCONJ
fis-3231	263	13	compared	compare	VERB
fis-3231	263	14	with	with	ADP
fis-3231	263	15	the	the	DET
fis-3231	263	16	analytical	analytical	ADJ
fis-3231	263	17	findings	finding	NOUN
fis-3231	263	18	.	.	PUNCT
fis-3231	264	1	results	result	NOUN
fis-3231	264	2	and	and	CCONJ
fis-3231	264	3	discussions	discussion	NOUN
fis-3231	264	4	he	he	PRON
fis-3231	264	5	results	result	VERB
fis-3231	264	6	obtained	obtain	VERB
fis-3231	264	7	by	by	ADP
fis-3231	264	8	the	the	DET
fis-3231	264	9	analytical	analytical	ADJ
fis-3231	264	10	model	model	NOUN
fis-3231	264	11	were	be	AUX
fis-3231	264	12	compared	compare	VERB
fis-3231	264	13	with	with	ADP
fis-3231	264	14	experimental	experimental	ADJ
fis-3231	264	15	data	datum	NOUN
fis-3231	264	16	to	to	PART
fis-3231	264	17	validate	validate	VERB
fis-3231	264	18	the	the	DET
fis-3231	264	19	nonlinear	nonlinear	ADJ
fis-3231	264	20	model	model	NOUN
fis-3231	264	21	.	.	PUNCT
fis-3231	265	1	after	after	ADV
fis-3231	265	2	all	all	ADV
fis-3231	265	3	,	,	PUNCT
fis-3231	265	4	the	the	DET
fis-3231	265	5	boundary	boundary	ADJ
fis-3231	265	6	conditions	condition	NOUN
fis-3231	265	7	associated	associate	VERB
fis-3231	265	8	with	with	ADP
fis-3231	265	9	low	low	ADJ
fis-3231	265	10	-	-	PUNCT
fis-3231	265	11	velocity	velocity	NOUN
fis-3231	265	12	impact	impact	NOUN
fis-3231	265	13	were	be	AUX
fis-3231	265	14	imposed	impose	VERB
fis-3231	265	15	to	to	ADP
fis-3231	265	16	the	the	DET
fis-3231	265	17	model	model	NOUN
fis-3231	265	18	.	.	PUNCT
fis-3231	266	1	the	the	DET
fis-3231	266	2	analytical	analytical	ADJ
fis-3231	266	3	findings	finding	NOUN
fis-3231	266	4	were	be	AUX
fis-3231	266	5	discussed	discuss	VERB
fis-3231	266	6	and	and	CCONJ
fis-3231	266	7	compared	compare	VERB
fis-3231	266	8	to	to	ADP
fis-3231	266	9	the	the	DET
fis-3231	266	10	numerical	numerical	ADJ
fis-3231	266	11	solutions	solution	NOUN
fis-3231	266	12	.	.	PUNCT
fis-3231	267	1	experimental	experimental	ADJ
fis-3231	267	2	validation	validation	NOUN
fis-3231	267	3	the	the	DET
fis-3231	267	4	fth	fth	NOUN
fis-3231	267	5	technique	technique	NOUN
fis-3231	267	6	has	have	AUX
fis-3231	267	7	been	be	AUX
fis-3231	267	8	applied	apply	VERB
fis-3231	267	9	to	to	ADP
fis-3231	267	10	the	the	DET
fis-3231	267	11	displacement	displacement	NOUN
fis-3231	267	12	signals	signal	NOUN
fis-3231	267	13	measured	measure	VERB
fis-3231	267	14	in	in	ADP
fis-3231	267	15	the	the	DET
fis-3231	267	16	experiment	experiment	NOUN
fis-3231	267	17	described	describe	VERB
fis-3231	267	18	in	in	ADP
fis-3231	267	19	experimental	experimental	ADJ
fis-3231	267	20	method	method	NOUN
fis-3231	267	21	section	section	NOUN
fis-3231	267	22	.	.	PUNCT
fis-3231	268	1	a	a	DET
fis-3231	268	2	concentrate	concentrate	NOUN
fis-3231	268	3	mass	mass	NOUN
fis-3231	268	4	with	with	ADP
fis-3231	268	5	a	a	DET
fis-3231	268	6	mass	mass	NOUN
fis-3231	268	7	ratio	ratio	NOUN
fis-3231	268	8			NOUN
fis-3231	268	9			NOUN
fis-3231	268	10	0.5	0.5	NUM
fis-3231	268	11	was	be	AUX
fis-3231	268	12	fixed	fix	VERB
fis-3231	268	13	along	along	ADP
fis-3231	268	14	to	to	ADP
fis-3231	268	15	the	the	DET
fis-3231	268	16	beam	beam	NOUN
fis-3231	268	17	at	at	ADP
fis-3231	268	18			NUM
fis-3231	268	19			NUM
fis-3231	268	20	0.95	0.95	NUM
fis-3231	268	21	.	.	PUNCT
fis-3231	269	1	the	the	DET
fis-3231	269	2	vibration	vibration	NOUN
fis-3231	269	3	response	response	NOUN
fis-3231	269	4	is	be	AUX
fis-3231	269	5	analyzed	analyze	VERB
fis-3231	269	6	through	through	ADP
fis-3231	269	7	fth	fth	NOUN
fis-3231	269	8	technique	technique	NOUN
fis-3231	269	9	.	.	PUNCT
fis-3231	270	1	t	t	PROPN
fis-3231	270	2	t	t	PROPN
fis-3231	270	3	m.	m.	PROPN
fis-3231	270	4	utzeri	utzeri	PROPN
fis-3231	270	5	et	et	PROPN
fis-3231	270	6	alii	alii	PROPN
fis-3231	270	7	,	,	PUNCT
fis-3231	270	8	frattura	frattura	PROPN
fis-3231	270	9	ed	ed	PROPN
fis-3231	270	10	integrità	integrità	PROPN
fis-3231	270	11	strutturale	strutturale	PROPN
fis-3231	270	12	,	,	PUNCT
fis-3231	270	13	58	58	NUM
fis-3231	270	14	(	(	PUNCT
fis-3231	270	15	2021	2021	NUM
fis-3231	270	16	)	)	PUNCT
fis-3231	270	17	254	254	NUM
fis-3231	270	18	-	-	SYM
fis-3231	270	19	271	271	NUM
fis-3231	270	20	;	;	PUNCT
fis-3231	270	21	doi	doi	NOUN
fis-3231	270	22	:	:	PUNCT
fis-3231	270	23	10.3221	10.3221	NUM
fis-3231	270	24	/	/	SYM
fis-3231	270	25	igf	igf	PROPN
fis-3231	270	26	-	-	PUNCT
fis-3231	270	27	esis.58.19	esis.58.19	PROPN
fis-3231	270	28	263	263	NUM
fis-3231	270	29	unimodal	unimodal	ADJ
fis-3231	270	30	linear	linear	ADJ
fis-3231	270	31	unimodal	unimodal	ADJ
fis-3231	270	32	first	first	ADJ
fis-3231	270	33	order	order	NOUN
fis-3231	270	34	nonlinearities	nonlinearitie	NOUN
fis-3231	270	35	unimodal	unimodal	ADJ
fis-3231	270	36	second	second	ADJ
fis-3231	270	37	order	order	NOUN
fis-3231	270	38	nonlinearities	nonlinearitie	NOUN
fis-3231	270	39	multimodal	multimodal	NOUN
fis-3231	270	40	nrmsd	nrmsd	NOUN
fis-3231	270	41	4.14	4.14	NUM
fis-3231	270	42	%	%	NOUN
fis-3231	270	43	2.64	2.64	NUM
fis-3231	270	44	%	%	NOUN
fis-3231	270	45	1.07	1.07	NUM
fis-3231	270	46	%	%	NOUN
fis-3231	270	47	0.76	0.76	NUM
fis-3231	270	48	%	%	NOUN
fis-3231	270	49	10	10	PROPN
fis-3231	270	50	149.205	149.205	NUM
fis-3231	271	1	149.145	149.145	NUM
fis-3231	271	2	148.954	148.954	NUM
fis-3231	271	3	148.898	148.898	NUM
fis-3231	271	4	12	12	NOUN
fis-3231	271	5	0	0	NUM
fis-3231	271	6	4.125	4.125	NUM
fis-3231	271	7	4.815	4.815	NUM
fis-3231	271	8	4.232	4.232	NUM
fis-3231	271	9	14	14	NOUN
fis-3231	271	10	0	0	NUM
fis-3231	271	11	0	0	NUM
fis-3231	271	12	15.5231	15.5231	NUM
fis-3231	271	13	12.6589	12.6589	NUM
fis-3231	272	1	10	10	PROPN
fis-3231	272	2	0.0091	0.0091	NUM
fis-3231	272	3	0.0088	0.0088	NUM
fis-3231	272	4	0.0063	0.0063	NUM
fis-3231	272	5	0.0076	0.0076	NUM
fis-3231	272	6	11	11	PUNCT
fis-3231	272	7	0	0	NUM
fis-3231	272	8	0.1910	0.1910	NUM
fis-3231	272	9	0.3431	0.3431	NUM
fis-3231	272	10	0.1793	0.1793	NUM
fis-3231	272	11	12	12	PROPN
fis-3231	272	12	0	0	NUM
fis-3231	272	13	0	0	NUM
fis-3231	272	14	-6.0519	-6.0519	NOUN
fis-3231	272	15	-4.0536	-4.0536	NOUN
fis-3231	272	16	1b	1b	NUM
fis-3231	273	1	0.2426	0.2426	NUM
fis-3231	273	2	0.2433	0.2433	NUM
fis-3231	273	3	0.2451	0.2451	NUM
fis-3231	273	4	0.2475	0.2475	NUM
fis-3231	273	5	1	1	NOUN
fis-3231	273	6	1.3219	1.3219	NUM
fis-3231	273	7	1.3184	1.3184	NUM
fis-3231	273	8	1.3170	1.3170	NUM
fis-3231	273	9	1.2907	1.2907	NUM
fis-3231	273	10	20	20	NOUN
fis-3231	273	11	0	0	NUM
fis-3231	273	12	0	0	NUM
fis-3231	273	13	0	0	NUM
fis-3231	273	14	1296.5	1296.5	NUM
fis-3231	273	15	20	20	NUM
fis-3231	273	16	0	0	NUM
fis-3231	273	17	0	0	NUM
fis-3231	273	18	0	0	NUM
fis-3231	273	19	0.0041	0.0041	NUM
fis-3231	273	20	2b	2b	NUM
fis-3231	273	21	0	0	NUM
fis-3231	273	22	0	0	NUM
fis-3231	273	23	0	0	NUM
fis-3231	273	24	-0.0012	-0.0012	NOUN
fis-3231	273	25	2	2	X
fis-3231	274	1	0	0	NUM
fis-3231	274	2	0	0	NUM
fis-3231	274	3	0	0	NUM
fis-3231	274	4	3.0167	3.0167	NUM
fis-3231	274	5	table	table	NOUN
fis-3231	274	6	1	1	NUM
fis-3231	274	7	:	:	PUNCT
fis-3231	274	8	fth	fth	NOUN
fis-3231	274	9	fitting	fitting	ADJ
fis-3231	274	10	coefficients	coefficient	NOUN
fis-3231	274	11	for	for	ADP
fis-3231	274	12	the	the	DET
fis-3231	274	13	signal	signal	NOUN
fis-3231	274	14	at	at	ADP
fis-3231	274	15			NUM
fis-3231	274	16			NUM
fis-3231	274	17	0.95	0.95	NUM
fis-3231	274	18	of	of	ADP
fis-3231	274	19	the	the	DET
fis-3231	274	20	beam	beam	NOUN
fis-3231	274	21	length	length	NOUN
fis-3231	274	22	the	the	DET
fis-3231	274	23	coefficients	coefficient	NOUN
fis-3231	274	24	of	of	ADP
fis-3231	274	25	the	the	DET
fis-3231	274	26	fth	fth	NOUN
fis-3231	274	27	fittings	fitting	NOUN
fis-3231	274	28	,	,	PUNCT
fis-3231	274	29	which	which	PRON
fis-3231	274	30	synthetize	synthetize	VERB
fis-3231	274	31	the	the	DET
fis-3231	274	32	experimental	experimental	ADJ
fis-3231	274	33	results	result	NOUN
fis-3231	274	34	and	and	CCONJ
fis-3231	274	35	thus	thus	ADV
fis-3231	274	36	are	be	AUX
fis-3231	274	37	the	the	DET
fis-3231	274	38	most	most	ADV
fis-3231	274	39	important	important	ADJ
fis-3231	274	40	results	result	NOUN
fis-3231	274	41	of	of	ADP
fis-3231	274	42	this	this	DET
fis-3231	274	43	part	part	NOUN
fis-3231	274	44	,	,	PUNCT
fis-3231	274	45	are	be	AUX
fis-3231	274	46	reported	report	VERB
fis-3231	274	47	in	in	ADP
fis-3231	274	48	tab	tab	NOUN
fis-3231	274	49	.	.	PUNCT
fis-3231	275	1	1	1	NUM
fis-3231	275	2	,	,	PUNCT
fis-3231	275	3	together	together	ADV
fis-3231	275	4	with	with	ADP
fis-3231	275	5	the	the	DET
fis-3231	275	6	achieved	achieve	VERB
fis-3231	275	7	nrsmd	nrsmd	PRON
fis-3231	275	8	values	value	NOUN
fis-3231	275	9	.	.	PUNCT
fis-3231	276	1	it	it	PRON
fis-3231	276	2	can	can	AUX
fis-3231	276	3	be	be	AUX
fis-3231	276	4	noted	note	VERB
fis-3231	276	5	that	that	SCONJ
fis-3231	276	6	,	,	PUNCT
fis-3231	276	7	as	as	SCONJ
fis-3231	276	8	expected	expect	VERB
fis-3231	276	9	,	,	PUNCT
fis-3231	276	10	the	the	DET
fis-3231	276	11	nrsmd	nrsmd	NOUN
fis-3231	276	12	values	value	NOUN
fis-3231	276	13	reduces	reduce	VERB
fis-3231	276	14	as	as	SCONJ
fis-3231	276	15	the	the	DET
fis-3231	276	16	modeling	modeling	NOUN
fis-3231	276	17	is	be	AUX
fis-3231	276	18	enhanced	enhance	VERB
fis-3231	276	19	from	from	ADP
fis-3231	276	20	linear	linear	PROPN
fis-3231	276	21	unimodal	unimodal	ADJ
fis-3231	276	22	to	to	ADP
fis-3231	276	23	multimodal	multimodal	NOUN
fis-3231	276	24	nonlinear	nonlinear	NOUN
fis-3231	276	25	.	.	PUNCT
fis-3231	277	1	the	the	DET
fis-3231	277	2			NOUN
fis-3231	277	3	2	2	NUM
fis-3231	277	4	2	2	NUM
fis-3231	277	5	1	1	NUM
fis-3231	277	6	1	1	NUM
fis-3231	277	7	,	,	PUNCT
fis-3231	277	8	,	,	PUNCT
fis-3231	277	9	,	,	PUNCT
fis-3231	277	10	b	b	PROPN
fis-3231	277	11	b	b	PROPN
fis-3231	277	12	terms	term	NOUN
fis-3231	277	13	do	do	AUX
fis-3231	277	14	not	not	PART
fis-3231	277	15	have	have	VERB
fis-3231	277	16	a	a	DET
fis-3231	277	17	role	role	NOUN
fis-3231	277	18	in	in	ADP
fis-3231	277	19	the	the	DET
fis-3231	277	20	system	system	NOUN
fis-3231	277	21	characterization	characterization	NOUN
fis-3231	277	22	.	.	PUNCT
fis-3231	278	1	they	they	PRON
fis-3231	278	2	compare	compare	VERB
fis-3231	278	3	only	only	ADV
fis-3231	278	4	in	in	ADP
fis-3231	278	5	the	the	DET
fis-3231	278	6	minimization	minimization	NOUN
fis-3231	278	7	algorithm	algorithm	NOUN
fis-3231	278	8	,	,	PUNCT
fis-3231	278	9	and	and	CCONJ
fis-3231	278	10	are	be	AUX
fis-3231	278	11	reported	report	VERB
fis-3231	278	12	for	for	ADP
fis-3231	278	13	completeness	completeness	NOUN
fis-3231	278	14	of	of	ADP
fis-3231	278	15	information	information	NOUN
fis-3231	278	16	.	.	PUNCT
fis-3231	279	1	figure	figure	VERB
fis-3231	279	2	4	4	NUM
fis-3231	279	3	:	:	PUNCT
fis-3231	279	4	comparison	comparison	NOUN
fis-3231	279	5	of	of	ADP
fis-3231	279	6	backbone	backbone	NOUN
fis-3231	279	7	curve	curve	NOUN
fis-3231	279	8	of	of	ADP
fis-3231	279	9	the	the	DET
fis-3231	279	10	first	first	ADJ
fis-3231	279	11	nonlinear	nonlinear	ADJ
fis-3231	279	12	frequency	frequency	NOUN
fis-3231	279	13	in	in	ADP
fis-3231	279	14	analytical	analytical	ADJ
fis-3231	279	15	and	and	CCONJ
fis-3231	279	16	experimental	experimental	ADJ
fis-3231	279	17	results	result	NOUN
fis-3231	279	18	.	.	PUNCT
fis-3231	280	1	it	it	PRON
fis-3231	280	2	can	can	AUX
fis-3231	280	3	be	be	AUX
fis-3231	280	4	noted	note	VERB
fis-3231	280	5	that	that	SCONJ
fis-3231	280	6	the	the	DET
fis-3231	280	7	backbone	backbone	NOUN
fis-3231	280	8	curve	curve	NOUN
fis-3231	280	9	obtained	obtain	VERB
fis-3231	280	10	by	by	ADP
fis-3231	280	11	experimental	experimental	ADJ
fis-3231	280	12	method	method	NOUN
fis-3231	280	13	is	be	AUX
fis-3231	280	14	very	very	ADV
fis-3231	280	15	similar	similar	ADJ
fis-3231	280	16	to	to	ADP
fis-3231	280	17	that	that	PRON
fis-3231	280	18	obtained	obtain	VERB
fis-3231	280	19	with	with	ADP
fis-3231	280	20	the	the	DET
fis-3231	280	21	analytical	analytical	ADJ
fis-3231	280	22	formulation	formulation	NOUN
fis-3231	280	23	.	.	PUNCT
fis-3231	281	1	moreover	moreover	ADV
fis-3231	281	2	,	,	PUNCT
fis-3231	281	3	the	the	DET
fis-3231	281	4	multi	multi	ADJ
fis-3231	281	5	-	-	ADJ
fis-3231	281	6	modal	modal	ADJ
fis-3231	281	7	identification	identification	NOUN
fis-3231	281	8	increases	increase	VERB
fis-3231	281	9	the	the	DET
fis-3231	281	10	performance	performance	NOUN
fis-3231	281	11	of	of	ADP
fis-3231	281	12	the	the	DET
fis-3231	281	13	fth	fth	NOUN
fis-3231	281	14	.	.	PUNCT
fis-3231	282	1	indeed	indeed	ADV
fis-3231	282	2	,	,	PUNCT
fis-3231	282	3	inserting	insert	VERB
fis-3231	282	4	the	the	DET
fis-3231	282	5	second	second	ADJ
fis-3231	282	6	mode	mode	NOUN
fis-3231	282	7	with	with	ADP
fis-3231	282	8	its	its	PRON
fis-3231	282	9	relative	relative	ADJ
fis-3231	282	10	nonlinearities	nonlinearitie	NOUN
fis-3231	282	11	,	,	PUNCT
fis-3231	282	12	the	the	DET
fis-3231	282	13	backbone	backbone	NOUN
fis-3231	282	14	curve	curve	NOUN
fis-3231	282	15	of	of	ADP
fis-3231	282	16	first	first	ADJ
fis-3231	282	17	frequency	frequency	NOUN
fis-3231	282	18	approaches	approach	NOUN
fis-3231	282	19	that	that	PRON
fis-3231	282	20	obtained	obtain	VERB
fis-3231	282	21	analytically	analytically	ADV
fis-3231	282	22	.	.	PUNCT
fis-3231	283	1	the	the	DET
fis-3231	283	2	analytical	analytical	ADJ
fis-3231	283	3	model	model	NOUN
fis-3231	283	4	was	be	AUX
fis-3231	283	5	able	able	ADJ
fis-3231	283	6	to	to	PART
fis-3231	283	7	describes	describe	VERB
fis-3231	283	8	correctly	correctly	ADV
fis-3231	283	9	the	the	DET
fis-3231	283	10	first	first	ADJ
fis-3231	283	11	nonlinear	nonlinear	ADJ
fis-3231	283	12	frequency	frequency	NOUN
fis-3231	283	13	and	and	CCONJ
fis-3231	283	14	therefore	therefore	ADV
fis-3231	283	15	it	it	PRON
fis-3231	283	16	was	be	AUX
fis-3231	283	17	validated	validate	VERB
fis-3231	283	18	.	.	PUNCT
fis-3231	284	1	further	further	ADJ
fis-3231	284	2	information	information	NOUN
fis-3231	284	3	about	about	ADP
fis-3231	284	4	the	the	DET
fis-3231	284	5	efficiency	efficiency	NOUN
fis-3231	284	6	of	of	ADP
fis-3231	284	7	fth	fth	NOUN
fis-3231	284	8	technique	technique	NOUN
fis-3231	284	9	in	in	ADP
fis-3231	284	10	experimental	experimental	ADJ
fis-3231	284	11	tests	test	NOUN
fis-3231	284	12	can	can	AUX
fis-3231	284	13	be	be	AUX
fis-3231	284	14	found	find	VERB
fis-3231	284	15	in	in	ADP
fis-3231	284	16	these	these	DET
fis-3231	284	17	works	work	NOUN
fis-3231	284	18	[	[	X
fis-3231	284	19	15	15	NUM
fis-3231	284	20	,	,	PUNCT
fis-3231	284	21	14	14	NUM
fis-3231	284	22	]	]	PUNCT
fis-3231	284	23	.	.	PUNCT
fis-3231	285	1	m.	m.	PROPN
fis-3231	285	2	utzeri	utzeri	PROPN
fis-3231	285	3	et	et	PROPN
fis-3231	285	4	alii	alii	PROPN
fis-3231	285	5	,	,	PUNCT
fis-3231	285	6	frattura	frattura	PROPN
fis-3231	285	7	ed	ed	PROPN
fis-3231	285	8	integrità	integrità	PROPN
fis-3231	285	9	strutturale	strutturale	PROPN
fis-3231	285	10	,	,	PUNCT
fis-3231	285	11	58	58	NUM
fis-3231	285	12	(	(	PUNCT
fis-3231	285	13	2021	2021	NUM
fis-3231	285	14	)	)	PUNCT
fis-3231	285	15	254	254	NUM
fis-3231	285	16	-	-	SYM
fis-3231	285	17	271	271	NUM
fis-3231	285	18	;	;	PUNCT
fis-3231	285	19	doi	doi	NOUN
fis-3231	285	20	:	:	PUNCT
fis-3231	285	21	10.3221	10.3221	NUM
fis-3231	285	22	/	/	SYM
fis-3231	285	23	igf	igf	PROPN
fis-3231	285	24	-	-	PUNCT
fis-3231	285	25	esis.58.19	esis.58.19	PROPN
fis-3231	285	26	264	264	NUM
fis-3231	285	27	analytical	analytical	ADJ
fis-3231	285	28	findings	finding	NOUN
fis-3231	285	29	first	first	ADV
fis-3231	285	30	of	of	ADP
fis-3231	285	31	all	all	PRON
fis-3231	285	32	,	,	PUNCT
fis-3231	285	33	the	the	DET
fis-3231	285	34	backbone	backbone	NOUN
fis-3231	285	35	curve	curve	NOUN
fis-3231	285	36	of	of	ADP
fis-3231	285	37	the	the	DET
fis-3231	285	38	first	first	ADJ
fis-3231	285	39	three	three	NUM
fis-3231	285	40	modes	mode	NOUN
fis-3231	285	41	are	be	AUX
fis-3231	285	42	computed	compute	VERB
fis-3231	285	43	by	by	ADP
fis-3231	285	44	means	mean	NOUN
fis-3231	285	45	of	of	ADP
fis-3231	285	46	eqn	eqn	NOUN
fis-3231	285	47	.	.	PUNCT
fis-3231	286	1	(	(	PUNCT
fis-3231	286	2	24	24	NUM
fis-3231	286	3	)	)	PUNCT
fis-3231	286	4	.	.	PUNCT
fis-3231	287	1	the	the	DET
fis-3231	287	2	fig	fig	NOUN
fis-3231	287	3	.	.	PUNCT
fis-3231	288	1	(	(	PUNCT
fis-3231	288	2	5	5	X
fis-3231	288	3	)	)	PUNCT
fis-3231	288	4	shows	show	VERB
fis-3231	288	5	the	the	DET
fis-3231	288	6	first	first	ADJ
fis-3231	288	7	nonlinear	nonlinear	ADJ
fis-3231	288	8	frequency	frequency	NOUN
fis-3231	288	9	and	and	CCONJ
fis-3231	288	10	the	the	DET
fis-3231	288	11	influence	influence	NOUN
fis-3231	288	12	of	of	ADP
fis-3231	288	13	impacted	impact	VERB
fis-3231	288	14	distance	distance	NOUN
fis-3231	288	15			NUM
fis-3231	288	16	of	of	ADP
fis-3231	288	17	a	a	DET
fis-3231	288	18	projectile	projectile	NOUN
fis-3231	288	19	with	with	ADP
fis-3231	288	20	a	a	DET
fis-3231	288	21	mass	mass	NOUN
fis-3231	288	22	ratio	ratio	NOUN
fis-3231	288	23			NOUN
fis-3231	288	24	of	of	ADP
fis-3231	288	25	50	50	NUM
fis-3231	288	26	%	%	NOUN
fis-3231	288	27	and	and	CCONJ
fis-3231	288	28	200	200	NUM
fis-3231	288	29	%	%	NOUN
fis-3231	288	30	.	.	PUNCT
fis-3231	289	1	in	in	ADP
fis-3231	289	2	both	both	PRON
fis-3231	289	3	of	of	ADP
fis-3231	289	4	cases	case	NOUN
fis-3231	289	5	,	,	PUNCT
fis-3231	289	6	the	the	DET
fis-3231	289	7	nonlinear	nonlinear	ADJ
fis-3231	289	8	behaviour	behaviour	NOUN
fis-3231	289	9	is	be	AUX
fis-3231	289	10	hardening	harden	VERB
fis-3231	289	11	so	so	SCONJ
fis-3231	289	12	the	the	DET
fis-3231	289	13	frequency	frequency	NOUN
fis-3231	289	14	increase	increase	NOUN
fis-3231	289	15	with	with	ADP
fis-3231	289	16	the	the	DET
fis-3231	289	17	vibration	vibration	NOUN
fis-3231	289	18	amplitude	amplitude	NOUN
fis-3231	289	19	.	.	PUNCT
fis-3231	290	1	the	the	DET
fis-3231	290	2	impacted	impact	VERB
fis-3231	290	3	distance	distance	NOUN
fis-3231	290	4			NUM
fis-3231	290	5	changes	change	VERB
fis-3231	290	6	the	the	DET
fis-3231	290	7	nonlinear	nonlinear	ADJ
fis-3231	290	8	hardening	harden	VERB
fis-3231	290	9	trend	trend	NOUN
fis-3231	290	10	.	.	PUNCT
fis-3231	291	1	especially	especially	ADV
fis-3231	291	2	,	,	PUNCT
fis-3231	291	3	the	the	DET
fis-3231	291	4	hardening	harden	VERB
fis-3231	291	5	trend	trend	NOUN
fis-3231	291	6	decrease	decrease	VERB
fis-3231	291	7	up	up	ADP
fis-3231	291	8	to	to	ADP
fis-3231	291	9	the	the	DET
fis-3231	291	10	impact	impact	NOUN
fis-3231	291	11	distance	distance	NOUN
fis-3231	291	12	reaches	reach	VERB
fis-3231	291	13	the	the	DET
fis-3231	291	14	half	half	NOUN
fis-3231	291	15	of	of	ADP
fis-3231	291	16	the	the	DET
fis-3231	291	17	beam	beam	NOUN
fis-3231	291	18	.	.	PUNCT
fis-3231	292	1	instead	instead	ADV
fis-3231	292	2	,	,	PUNCT
fis-3231	292	3	the	the	DET
fis-3231	292	4	increase	increase	NOUN
fis-3231	292	5	of	of	ADP
fis-3231	292	6	mass	mass	NOUN
fis-3231	292	7	leads	lead	VERB
fis-3231	292	8	to	to	ADP
fis-3231	292	9	an	an	DET
fis-3231	292	10	further	far	ADV
fis-3231	292	11	hardening	harden	VERB
fis-3231	292	12	behaviour	behaviour	NOUN
fis-3231	292	13	in	in	ADP
fis-3231	292	14	all	all	PRON
fis-3231	292	15	of	of	ADP
fis-3231	292	16	case	case	NOUN
fis-3231	292	17	.	.	PUNCT
fis-3231	293	1	figure	figure	NOUN
fis-3231	293	2	5	5	NUM
fis-3231	293	3	:	:	PUNCT
fis-3231	293	4	backbone	backbone	NOUN
fis-3231	293	5	curve	curve	NOUN
fis-3231	293	6	of	of	ADP
fis-3231	293	7	first	first	ADJ
fis-3231	293	8	nonlinear	nonlinear	ADJ
fis-3231	293	9	frequency	frequency	NOUN
fis-3231	293	10	.	.	PUNCT
fis-3231	294	1	(	(	PUNCT
fis-3231	294	2	a	a	X
fis-3231	294	3	)	)	PUNCT
fis-3231	294	4	influence	influence	NOUN
fis-3231	294	5	of	of	ADP
fis-3231	294	6	impacted	impact	VERB
fis-3231	294	7	distance	distance	NOUN
fis-3231	294	8			NUM
fis-3231	294	9	of	of	ADP
fis-3231	294	10	a	a	DET
fis-3231	294	11	projectile	projectile	NOUN
fis-3231	294	12	with	with	ADP
fis-3231	294	13	a	a	DET
fis-3231	294	14	mass	mass	NOUN
fis-3231	294	15	ratio	ratio	NOUN
fis-3231	294	16			NOUN
fis-3231	294	17	of	of	ADP
fis-3231	294	18	50	50	NUM
fis-3231	294	19	%	%	NOUN
fis-3231	294	20	.	.	PUNCT
fis-3231	295	1	(	(	PUNCT
fis-3231	295	2	b)influence	b)influence	NOUN
fis-3231	295	3	of	of	ADP
fis-3231	295	4	impacted	impact	VERB
fis-3231	295	5	distance	distance	NOUN
fis-3231	295	6			NUM
fis-3231	295	7	of	of	ADP
fis-3231	295	8	a	a	DET
fis-3231	295	9	projectile	projectile	NOUN
fis-3231	295	10	with	with	ADP
fis-3231	295	11	a	a	DET
fis-3231	295	12	mass	mass	ADJ
fis-3231	295	13	ratio	ratio	NOUN
fis-3231	295	14			NOUN
fis-3231	295	15	of	of	ADP
fis-3231	295	16	200	200	NUM
fis-3231	295	17	%	%	NOUN
fis-3231	295	18	.	.	PUNCT
fis-3231	296	1	on	on	ADP
fis-3231	296	2	the	the	DET
fis-3231	296	3	contrary	contrary	NOUN
fis-3231	296	4	the	the	DET
fis-3231	296	5	backbone	backbone	NOUN
fis-3231	296	6	curve	curve	NOUN
fis-3231	296	7	of	of	ADP
fis-3231	296	8	second	second	ADJ
fis-3231	296	9	and	and	CCONJ
fis-3231	296	10	third	third	ADJ
fis-3231	296	11	modes	mode	NOUN
fis-3231	296	12	are	be	AUX
fis-3231	296	13	softening	soften	VERB
fis-3231	296	14	type	type	NOUN
fis-3231	296	15	,	,	PUNCT
fis-3231	296	16	as	as	SCONJ
fis-3231	296	17	shown	show	VERB
fis-3231	296	18	in	in	ADP
fis-3231	296	19	fig	fig	NOUN
fis-3231	296	20	.	.	PUNCT
fis-3231	297	1	(	(	PUNCT
fis-3231	297	2	6	6	NUM
fis-3231	297	3	)	)	PUNCT
fis-3231	297	4	and	and	CCONJ
fis-3231	297	5	fig	fig	NOUN
fis-3231	297	6	.	.	PUNCT
fis-3231	298	1	(	(	PUNCT
fis-3231	298	2	7	7	X
fis-3231	298	3	)	)	PUNCT
fis-3231	298	4	respectively	respectively	ADV
fis-3231	298	5	.	.	PUNCT
fis-3231	299	1	even	even	ADV
fis-3231	299	2	in	in	ADP
fis-3231	299	3	this	this	DET
fis-3231	299	4	cases	case	NOUN
fis-3231	299	5	were	be	AUX
fis-3231	299	6	evaluated	evaluate	VERB
fis-3231	299	7	the	the	DET
fis-3231	299	8	influence	influence	NOUN
fis-3231	299	9	of	of	ADP
fis-3231	299	10	impacted	impact	VERB
fis-3231	299	11	distance	distance	NOUN
fis-3231	299	12			NUM
fis-3231	299	13	of	of	ADP
fis-3231	299	14	a	a	DET
fis-3231	299	15	projectile	projectile	NOUN
fis-3231	299	16	with	with	ADP
fis-3231	299	17	a	a	DET
fis-3231	299	18	mass	mass	NOUN
fis-3231	299	19	ratio	ratio	NOUN
fis-3231	299	20			NOUN
fis-3231	299	21	of	of	ADP
fis-3231	299	22	50	50	NUM
fis-3231	299	23	%	%	NOUN
fis-3231	299	24	and	and	CCONJ
fis-3231	299	25	200	200	NUM
fis-3231	299	26	%	%	NOUN
fis-3231	299	27	.	.	PUNCT
fis-3231	300	1	the	the	DET
fis-3231	300	2	impacted	impact	VERB
fis-3231	300	3	distance	distance	NOUN
fis-3231	300	4			NUM
fis-3231	300	5	changes	change	VERB
fis-3231	300	6	the	the	DET
fis-3231	300	7	nonlinear	nonlinear	ADJ
fis-3231	300	8	trend	trend	NOUN
fis-3231	300	9	.	.	PUNCT
fis-3231	301	1	figure	figure	VERB
fis-3231	301	2	6	6	NUM
fis-3231	301	3	:	:	PUNCT
fis-3231	301	4	backbone	backbone	NOUN
fis-3231	301	5	curve	curve	NOUN
fis-3231	301	6	of	of	ADP
fis-3231	301	7	second	second	ADJ
fis-3231	301	8	nonlinear	nonlinear	ADJ
fis-3231	301	9	frequency	frequency	NOUN
fis-3231	301	10	.	.	PUNCT
fis-3231	302	1	(	(	PUNCT
fis-3231	302	2	a	a	X
fis-3231	302	3	)	)	PUNCT
fis-3231	302	4	influence	influence	NOUN
fis-3231	302	5	of	of	ADP
fis-3231	302	6	impacted	impact	VERB
fis-3231	302	7	distance	distance	NOUN
fis-3231	302	8			NUM
fis-3231	302	9	of	of	ADP
fis-3231	302	10	a	a	DET
fis-3231	302	11	projectile	projectile	NOUN
fis-3231	302	12	with	with	ADP
fis-3231	302	13	a	a	DET
fis-3231	302	14	mass	mass	NOUN
fis-3231	302	15	ratio	ratio	NOUN
fis-3231	302	16			NOUN
fis-3231	302	17	of	of	ADP
fis-3231	302	18	50	50	NUM
fis-3231	302	19	%	%	NOUN
fis-3231	302	20	.	.	PUNCT
fis-3231	303	1	(	(	PUNCT
fis-3231	303	2	b)influence	b)influence	NOUN
fis-3231	303	3	of	of	ADP
fis-3231	303	4	impacted	impact	VERB
fis-3231	303	5	distance	distance	NOUN
fis-3231	303	6			NUM
fis-3231	303	7	of	of	ADP
fis-3231	303	8	a	a	DET
fis-3231	303	9	projectile	projectile	NOUN
fis-3231	303	10	with	with	ADP
fis-3231	303	11	a	a	DET
fis-3231	303	12	mass	mass	ADJ
fis-3231	303	13	ratio	ratio	NOUN
fis-3231	303	14			NOUN
fis-3231	303	15	of	of	ADP
fis-3231	303	16	200	200	NUM
fis-3231	303	17	%	%	NOUN
fis-3231	303	18	m.	m.	NOUN
fis-3231	303	19	utzeri	utzeri	PROPN
fis-3231	303	20	et	et	PROPN
fis-3231	303	21	alii	alii	PROPN
fis-3231	303	22	,	,	PUNCT
fis-3231	303	23	frattura	frattura	PROPN
fis-3231	303	24	ed	ed	PROPN
fis-3231	303	25	integrità	integrità	PROPN
fis-3231	303	26	strutturale	strutturale	PROPN
fis-3231	303	27	,	,	PUNCT
fis-3231	303	28	58	58	NUM
fis-3231	303	29	(	(	PUNCT
fis-3231	303	30	2021	2021	NUM
fis-3231	303	31	)	)	PUNCT
fis-3231	303	32	254	254	NUM
fis-3231	303	33	-	-	SYM
fis-3231	303	34	271	271	NUM
fis-3231	303	35	;	;	PUNCT
fis-3231	303	36	doi	doi	NOUN
fis-3231	303	37	:	:	PUNCT
fis-3231	303	38	10.3221	10.3221	NUM
fis-3231	303	39	/	/	SYM
fis-3231	303	40	igf	igf	PROPN
fis-3231	303	41	-	-	PUNCT
fis-3231	303	42	esis.58.19	esis.58.19	PROPN
fis-3231	303	43	265	265	NUM
fis-3231	303	44	figure	figure	NOUN
fis-3231	303	45	7	7	NUM
fis-3231	303	46	:	:	PUNCT
fis-3231	303	47	backbone	backbone	NOUN
fis-3231	303	48	curve	curve	NOUN
fis-3231	303	49	of	of	ADP
fis-3231	303	50	third	third	ADJ
fis-3231	303	51	nonlinear	nonlinear	ADJ
fis-3231	303	52	frequency	frequency	NOUN
fis-3231	303	53	.	.	PUNCT
fis-3231	304	1	(	(	PUNCT
fis-3231	304	2	a	a	X
fis-3231	304	3	)	)	PUNCT
fis-3231	304	4	influence	influence	NOUN
fis-3231	304	5	of	of	ADP
fis-3231	304	6	impacted	impact	VERB
fis-3231	304	7	distance	distance	NOUN
fis-3231	304	8			NUM
fis-3231	304	9	of	of	ADP
fis-3231	304	10	a	a	DET
fis-3231	304	11	projectile	projectile	NOUN
fis-3231	304	12	with	with	ADP
fis-3231	304	13	a	a	DET
fis-3231	304	14	mass	mass	NOUN
fis-3231	304	15	ratio	ratio	NOUN
fis-3231	304	16			NOUN
fis-3231	304	17	of	of	ADP
fis-3231	304	18	50	50	NUM
fis-3231	304	19	%	%	NOUN
fis-3231	304	20	.	.	PUNCT
fis-3231	305	1	(	(	PUNCT
fis-3231	305	2	b)influence	b)influence	NOUN
fis-3231	305	3	of	of	ADP
fis-3231	305	4	impacted	impact	VERB
fis-3231	305	5	distance	distance	NOUN
fis-3231	305	6			NUM
fis-3231	305	7	of	of	ADP
fis-3231	305	8	a	a	DET
fis-3231	305	9	projectile	projectile	NOUN
fis-3231	305	10	with	with	ADP
fis-3231	305	11	a	a	DET
fis-3231	305	12	mass	mass	ADJ
fis-3231	305	13	ratio	ratio	NOUN
fis-3231	305	14			NOUN
fis-3231	305	15	of	of	ADP
fis-3231	305	16	200	200	NUM
fis-3231	305	17	%	%	NOUN
fis-3231	305	18	figure	figure	NOUN
fis-3231	305	19	8	8	NUM
fis-3231	305	20	:	:	PUNCT
fis-3231	305	21	trend	trend	NOUN
fis-3231	305	22	of	of	ADP
fis-3231	305	23	adimensional	adimensional	ADJ
fis-3231	305	24	impact	impact	NOUN
fis-3231	305	25	duration	duration	NOUN
fis-3231	305	26	in	in	ADP
fis-3231	305	27	function	function	NOUN
fis-3231	305	28	of	of	ADP
fis-3231	305	29	mass	mass	NOUN
fis-3231	305	30	ratio	ratio	NOUN
fis-3231	305	31			NOUN
fis-3231	305	32	.	.	PUNCT
fis-3231	306	1	the	the	DET
fis-3231	306	2	impact	impact	NOUN
fis-3231	306	3	occurs	occur	VERB
fis-3231	306	4	at	at	ADP
fis-3231	306	5			NUM
fis-3231	306	6			NUM
fis-3231	306	7	0.75	0.75	NUM
fis-3231	306	8	the	the	DET
fis-3231	306	9	nonlinear	nonlinear	ADJ
fis-3231	306	10	behaviour	behaviour	NOUN
fis-3231	306	11	of	of	ADP
fis-3231	306	12	the	the	DET
fis-3231	306	13	frequency	frequency	NOUN
fis-3231	306	14	affects	affect	VERB
fis-3231	306	15	the	the	DET
fis-3231	306	16	response	response	NOUN
fis-3231	306	17	of	of	ADP
fis-3231	306	18	the	the	DET
fis-3231	306	19	beam	beam	NOUN
fis-3231	306	20	during	during	ADP
fis-3231	306	21	the	the	DET
fis-3231	306	22	impacts	impact	NOUN
fis-3231	306	23	.	.	PUNCT
fis-3231	307	1	following	follow	VERB
fis-3231	307	2	the	the	DET
fis-3231	307	3	spring	spring	NOUN
fis-3231	307	4	-	-	PUNCT
fis-3231	307	5	mass	mass	NOUN
fis-3231	307	6	theory	theory	NOUN
fis-3231	307	7	the	the	DET
fis-3231	307	8	projectile	projectile	NOUN
fis-3231	307	9	has	have	VERB
fis-3231	307	10	the	the	DET
fis-3231	307	11	initial	initial	ADJ
fis-3231	307	12	velocity	velocity	NOUN
fis-3231	307	13	and	and	CCONJ
fis-3231	307	14	the	the	DET
fis-3231	307	15	beam	beam	NOUN
fis-3231	307	16	is	be	AUX
fis-3231	307	17	relaxed	relaxed	ADJ
fis-3231	307	18	.	.	PUNCT
fis-3231	308	1	then	then	ADV
fis-3231	308	2	,	,	PUNCT
fis-3231	308	3	the	the	DET
fis-3231	308	4	projectile	projectile	NOUN
fis-3231	308	5	hits	hit	VERB
fis-3231	308	6	the	the	DET
fis-3231	308	7	beam	beam	NOUN
fis-3231	308	8	and	and	CCONJ
fis-3231	308	9	reduces	reduce	VERB
fis-3231	308	10	its	its	PRON
fis-3231	308	11	velocity	velocity	NOUN
fis-3231	308	12	up	up	ADP
fis-3231	308	13	to	to	ADP
fis-3231	308	14	the	the	DET
fis-3231	308	15	beam	beam	NOUN
fis-3231	308	16	reaches	reach	VERB
fis-3231	308	17	the	the	DET
fis-3231	308	18	maximum	maximum	ADJ
fis-3231	308	19	deflection	deflection	NOUN
fis-3231	308	20	.	.	PUNCT
fis-3231	309	1	the	the	DET
fis-3231	309	2	potential	potential	ADJ
fis-3231	309	3	energy	energy	NOUN
fis-3231	309	4	of	of	ADP
fis-3231	309	5	the	the	DET
fis-3231	309	6	beam	beam	NOUN
fis-3231	309	7	is	be	AUX
fis-3231	309	8	equal	equal	ADJ
fis-3231	309	9	to	to	ADP
fis-3231	309	10	the	the	DET
fis-3231	309	11	initial	initial	ADJ
fis-3231	309	12	kinetic	kinetic	ADJ
fis-3231	309	13	energy	energy	NOUN
fis-3231	309	14	of	of	ADP
fis-3231	309	15	the	the	DET
fis-3231	309	16	projectile	projectile	NOUN
fis-3231	309	17	.	.	PUNCT
fis-3231	310	1	after	after	SCONJ
fis-3231	310	2	the	the	DET
fis-3231	310	3	maximum	maximum	ADJ
fis-3231	310	4	deflection	deflection	NOUN
fis-3231	310	5	point	point	NOUN
fis-3231	310	6	the	the	DET
fis-3231	310	7	projectile	projectile	NOUN
fis-3231	310	8	is	be	AUX
fis-3231	310	9	pushed	push	VERB
fis-3231	310	10	backward	backward	ADV
fis-3231	310	11	.	.	PUNCT
fis-3231	311	1	the	the	DET
fis-3231	311	2	impact	impact	NOUN
fis-3231	311	3	ends	end	VERB
fis-3231	311	4	when	when	SCONJ
fis-3231	311	5	the	the	DET
fis-3231	311	6	projectile	projectile	NOUN
fis-3231	311	7	overcomes	overcome	VERB
fis-3231	311	8	the	the	DET
fis-3231	311	9	line	line	NOUN
fis-3231	311	10	of	of	ADP
fis-3231	311	11	the	the	DET
fis-3231	311	12	clamped	clamp	VERB
fis-3231	311	13	beam	beam	NOUN
fis-3231	311	14	end	end	NOUN
fis-3231	311	15	.	.	PUNCT
fis-3231	312	1	in	in	ADP
fis-3231	312	2	large	large	ADJ
fis-3231	312	3	displacement	displacement	NOUN
fis-3231	312	4	the	the	DET
fis-3231	312	5	time	time	NOUN
fis-3231	312	6	of	of	ADP
fis-3231	312	7	the	the	DET
fis-3231	312	8	impact	impact	NOUN
fis-3231	312	9	can	can	AUX
fis-3231	312	10	be	be	AUX
fis-3231	312	11	reduced	reduce	VERB
fis-3231	312	12	or	or	CCONJ
fis-3231	312	13	augmented	augment	VERB
fis-3231	312	14	in	in	ADP
fis-3231	312	15	function	function	NOUN
fis-3231	312	16	of	of	ADP
fis-3231	312	17	the	the	DET
fis-3231	312	18	hardening	hardening	NOUN
fis-3231	312	19	or	or	CCONJ
fis-3231	312	20	softening	soften	VERB
fis-3231	312	21	trend	trend	NOUN
fis-3231	312	22	of	of	ADP
fis-3231	312	23	nonlinear	nonlinear	ADJ
fis-3231	312	24	frequency	frequency	NOUN
fis-3231	312	25	.	.	PUNCT
fis-3231	313	1	as	as	ADP
fis-3231	313	2	the	the	DET
fis-3231	313	3	increase	increase	NOUN
fis-3231	313	4	of	of	ADP
fis-3231	313	5	the	the	DET
fis-3231	313	6	deflection	deflection	NOUN
fis-3231	313	7	of	of	ADP
fis-3231	313	8	the	the	DET
fis-3231	313	9	beam	beam	NOUN
fis-3231	313	10	this	this	DET
fis-3231	313	11	phenomenon	phenomenon	NOUN
fis-3231	313	12	becomes	become	VERB
fis-3231	313	13	more	more	ADV
fis-3231	313	14	and	and	CCONJ
fis-3231	313	15	more	more	ADV
fis-3231	313	16	relevant	relevant	ADJ
fis-3231	313	17	.	.	PUNCT
fis-3231	314	1	the	the	DET
fis-3231	314	2	first	first	ADJ
fis-3231	314	3	nonlinear	nonlinear	ADJ
fis-3231	314	4	vibration	vibration	NOUN
fis-3231	314	5	is	be	AUX
fis-3231	314	6	the	the	DET
fis-3231	314	7	most	most	ADV
fis-3231	314	8	involved	involved	ADJ
fis-3231	314	9	vibration	vibration	NOUN
fis-3231	314	10	when	when	SCONJ
fis-3231	314	11	the	the	DET
fis-3231	314	12	impact	impact	NOUN
fis-3231	314	13	occurs	occur	VERB
fis-3231	314	14	close	close	ADV
fis-3231	314	15	to	to	ADP
fis-3231	314	16	the	the	DET
fis-3231	314	17	free	free	ADJ
fis-3231	314	18	end	end	NOUN
fis-3231	314	19	of	of	ADP
fis-3231	314	20	the	the	DET
fis-3231	314	21	beam	beam	NOUN
fis-3231	314	22	.	.	PUNCT
fis-3231	315	1	the	the	DET
fis-3231	315	2	amplitude	amplitude	NOUN
fis-3231	315	3	due	due	ADP
fis-3231	315	4	to	to	ADP
fis-3231	315	5	the	the	DET
fis-3231	315	6	projectile	projectile	NOUN
fis-3231	315	7	impact	impact	NOUN
fis-3231	315	8	with	with	ADP
fis-3231	315	9	a	a	DET
fis-3231	315	10	velocity	velocity	NOUN
fis-3231	315	11	0v	0v	NOUN
fis-3231	315	12	can	can	AUX
fis-3231	315	13	be	be	AUX
fis-3231	315	14	found	find	VERB
fis-3231	315	15	through	through	ADP
fis-3231	315	16	the	the	DET
fis-3231	315	17	eqn.(31	eqn.(31	NOUN
fis-3231	315	18	)	)	PUNCT
fis-3231	315	19	.	.	PUNCT
fis-3231	316	1	the	the	DET
fis-3231	316	2	amplitude	amplitude	NOUN
fis-3231	316	3	associated	associate	VERB
fis-3231	316	4	with	with	ADP
fis-3231	316	5	the	the	DET
fis-3231	316	6	first	first	ADJ
fis-3231	316	7	modes	mode	NOUN
fis-3231	316	8	increase	increase	VERB
fis-3231	316	9	as	as	SCONJ
fis-3231	316	10	the	the	DET
fis-3231	316	11	velocity	velocity	NOUN
fis-3231	316	12	impact	impact	NOUN
fis-3231	316	13	increasing	increase	VERB
fis-3231	316	14	.	.	PUNCT
fis-3231	317	1	therefore	therefore	ADV
fis-3231	317	2	,	,	PUNCT
fis-3231	317	3	the	the	DET
fis-3231	317	4	impact	impact	NOUN
fis-3231	317	5	time	time	NOUN
fis-3231	317	6	is	be	AUX
fis-3231	317	7	affected	affect	VERB
fis-3231	317	8	by	by	ADP
fis-3231	317	9	the	the	DET
fis-3231	317	10	nonlinear	nonlinear	ADJ
fis-3231	317	11	frequency	frequency	NOUN
fis-3231	317	12	which	which	PRON
fis-3231	317	13	is	be	AUX
fis-3231	317	14	function	function	NOUN
fis-3231	317	15	of	of	ADP
fis-3231	317	16	the	the	DET
fis-3231	317	17	amplitude	amplitude	NOUN
fis-3231	317	18	.	.	PUNCT
fis-3231	318	1	starting	start	VERB
fis-3231	318	2	from	from	ADP
fis-3231	318	3	the	the	DET
fis-3231	318	4	eqn.(24	eqn.(24	PROPN
fis-3231	318	5	)	)	PUNCT
fis-3231	318	6	and	and	CCONJ
fis-3231	318	7	the	the	DET
fis-3231	318	8	assumption	assumption	NOUN
fis-3231	318	9	of	of	ADP
fis-3231	318	10	first	first	ADJ
fis-3231	318	11	vibration	vibration	NOUN
fis-3231	318	12	response	response	NOUN
fis-3231	318	13	,	,	PUNCT
fis-3231	318	14	the	the	DET
fis-3231	318	15	impact	impact	NOUN
fis-3231	318	16	time	time	NOUN
fis-3231	318	17	is	be	AUX
fis-3231	318	18	defined	define	VERB
fis-3231	318	19	as	as	ADP
fis-3231	318	20	m.	m.	PROPN
fis-3231	318	21	utzeri	utzeri	PROPN
fis-3231	318	22	et	et	PROPN
fis-3231	318	23	alii	alii	PROPN
fis-3231	318	24	,	,	PUNCT
fis-3231	318	25	frattura	frattura	PROPN
fis-3231	318	26	ed	ed	PROPN
fis-3231	318	27	integrità	integrità	PROPN
fis-3231	318	28	strutturale	strutturale	PROPN
fis-3231	318	29	,	,	PUNCT
fis-3231	318	30	58	58	NUM
fis-3231	318	31	(	(	PUNCT
fis-3231	318	32	2021	2021	NUM
fis-3231	318	33	)	)	PUNCT
fis-3231	318	34	254	254	NUM
fis-3231	318	35	-	-	SYM
fis-3231	318	36	271	271	NUM
fis-3231	318	37	;	;	PUNCT
fis-3231	318	38	doi	doi	NOUN
fis-3231	318	39	:	:	PUNCT
fis-3231	318	40	10.3221	10.3221	NUM
fis-3231	318	41	/	/	SYM
fis-3231	318	42	igf	igf	PROPN
fis-3231	318	43	-	-	PUNCT
fis-3231	318	44	esis.58.19	esis.58.19	PROPN
fis-3231	318	45	266	266	NUM
fis-3231	318	46			NOUN
fis-3231	318	47			PUNCT
fis-3231	318	48			PROPN
fis-3231	318	49			PROPN
fis-3231	318	50			X
fis-3231	318	51			X
fis-3231	319	1			X
fis-3231	319	2			X
fis-3231	320	1			NUM
fis-3231	320	2			NOUN
fis-3231	320	3			ADV
fis-3231	320	4	2	2	PROPN
fis-3231	320	5	4	4	NUM
fis-3231	320	6	1	1	NUM
fis-3231	320	7	10	10	NUM
fis-3231	320	8	12	12	NUM
fis-3231	320	9	1	1	NUM
fis-3231	320	10	14	14	NUM
fis-3231	320	11	1	1	NUM
fis-3231	320	12	imp	imp	NOUN
fis-3231	320	13	l	l	PROPN
fis-3231	320	14	t	t	NOUN
fis-3231	320	15	a	a	DET
fis-3231	320	16	a	a	PRON
fis-3231	320	17	(	(	PUNCT
fis-3231	320	18	36	36	NUM
fis-3231	320	19	)	)	PUNCT
fis-3231	320	20	fig	fig	NOUN
fis-3231	320	21	.	.	PUNCT
fis-3231	321	1	(	(	PUNCT
fis-3231	321	2	8)	8)	NUM
fis-3231	321	3	shows	show	VERB
fis-3231	321	4	how	how	SCONJ
fis-3231	321	5	the	the	DET
fis-3231	321	6	adimensional	adimensional	ADJ
fis-3231	321	7	impact	impact	NOUN
fis-3231	321	8	duration	duration	NOUN
fis-3231	321	9	depends	depend	VERB
fis-3231	321	10	by	by	ADP
fis-3231	321	11	the	the	DET
fis-3231	321	12	mass	mass	PROPN
fis-3231	321	13	ratio	ratio	NOUN
fis-3231	321	14			NOUN
fis-3231	321	15	.	.	PUNCT
fis-3231	322	1	surely	surely	ADV
fis-3231	322	2	,	,	PUNCT
fis-3231	322	3	the	the	DET
fis-3231	322	4	impact	impact	NOUN
fis-3231	322	5	time	time	NOUN
fis-3231	322	6	is	be	AUX
fis-3231	322	7	bigger	big	ADJ
fis-3231	322	8	as	as	ADP
fis-3231	322	9	the	the	DET
fis-3231	322	10	increase	increase	NOUN
fis-3231	322	11	of	of	ADP
fis-3231	322	12	projectile	projectile	NOUN
fis-3231	322	13	mass	mass	NOUN
fis-3231	322	14	.	.	PUNCT
fis-3231	323	1	moreover	moreover	ADV
fis-3231	323	2	,	,	PUNCT
fis-3231	323	3	the	the	DET
fis-3231	323	4	influence	influence	NOUN
fis-3231	323	5	of	of	ADP
fis-3231	323	6	nonlinearities	nonlinearitie	NOUN
fis-3231	323	7	is	be	AUX
fis-3231	323	8	more	more	ADV
fis-3231	323	9	relevant	relevant	ADJ
fis-3231	323	10	at	at	ADP
fis-3231	323	11	high	high	ADJ
fis-3231	323	12	mass	mass	NOUN
fis-3231	323	13	ratio	ratio	NOUN
fis-3231	323	14	with	with	ADP
fis-3231	323	15	the	the	DET
fis-3231	323	16	same	same	ADJ
fis-3231	323	17	impact	impact	NOUN
fis-3231	323	18	velocity	velocity	NOUN
fis-3231	323	19	.	.	PUNCT
fis-3231	324	1	the	the	DET
fis-3231	324	2	explanation	explanation	NOUN
fis-3231	324	3	is	be	AUX
fis-3231	324	4	related	relate	VERB
fis-3231	324	5	to	to	ADP
fis-3231	324	6	the	the	DET
fis-3231	324	7	amplitude	amplitude	NOUN
fis-3231	324	8	reached	reach	VERB
fis-3231	324	9	during	during	ADP
fis-3231	324	10	the	the	DET
fis-3231	324	11	impact	impact	NOUN
fis-3231	324	12	.	.	PUNCT
fis-3231	325	1	the	the	DET
fis-3231	325	2	initial	initial	ADJ
fis-3231	325	3	kinetic	kinetic	ADJ
fis-3231	325	4	energy	energy	NOUN
fis-3231	325	5	is	be	AUX
fis-3231	325	6	strictly	strictly	ADV
fis-3231	325	7	dependent	dependent	ADJ
fis-3231	325	8	to	to	ADP
fis-3231	325	9	the	the	DET
fis-3231	325	10	mass	mass	NOUN
fis-3231	325	11	ratio	ratio	NOUN
fis-3231	325	12	,	,	PUNCT
fis-3231	325	13	so	so	ADV
fis-3231	325	14	inevitably	inevitably	ADV
fis-3231	325	15	the	the	DET
fis-3231	325	16	beam	beam	NOUN
fis-3231	325	17	has	have	VERB
fis-3231	325	18	to	to	PART
fis-3231	325	19	deflect	deflect	VERB
fis-3231	325	20	more	more	ADJ
fis-3231	325	21	at	at	ADP
fis-3231	325	22	high	high	ADJ
fis-3231	325	23	mass	mass	NOUN
fis-3231	325	24	ratio	ratio	NOUN
fis-3231	325	25	to	to	PART
fis-3231	325	26	absorb	absorb	VERB
fis-3231	325	27	the	the	DET
fis-3231	325	28	impact	impact	NOUN
fis-3231	325	29	at	at	ADP
fis-3231	325	30	the	the	DET
fis-3231	325	31	same	same	ADJ
fis-3231	325	32	impact	impact	NOUN
fis-3231	325	33	velocity	velocity	NOUN
fis-3231	325	34	.	.	PUNCT
fis-3231	326	1	likewise	likewise	ADV
fis-3231	326	2	,	,	PUNCT
fis-3231	326	3	can	can	AUX
fis-3231	326	4	be	be	AUX
fis-3231	326	5	evaluated	evaluate	VERB
fis-3231	326	6	the	the	DET
fis-3231	326	7	impact	impact	NOUN
fis-3231	326	8	velocity	velocity	NOUN
fis-3231	326	9	in	in	ADP
fis-3231	326	10	function	function	NOUN
fis-3231	326	11	of	of	ADP
fis-3231	326	12	the	the	DET
fis-3231	326	13	maximum	maximum	ADJ
fis-3231	326	14	impact	impact	NOUN
fis-3231	326	15	deflection	deflection	NOUN
fis-3231	326	16	.	.	PUNCT
fis-3231	327	1	starting	start	VERB
fis-3231	327	2	from	from	ADP
fis-3231	327	3	the	the	DET
fis-3231	327	4	eqn.(31	eqn.(31	NOUN
fis-3231	327	5	)	)	PUNCT
fis-3231	327	6	and	and	CCONJ
fis-3231	327	7	the	the	DET
fis-3231	327	8	assumption	assumption	NOUN
fis-3231	327	9	of	of	ADP
fis-3231	327	10	first	first	ADJ
fis-3231	327	11	vibration	vibration	NOUN
fis-3231	327	12	response	response	NOUN
fis-3231	327	13	,	,	PUNCT
fis-3231	327	14	the	the	DET
fis-3231	327	15	impact	impact	NOUN
fis-3231	327	16	velocity	velocity	NOUN
fis-3231	327	17	can	can	AUX
fis-3231	327	18	be	be	AUX
fis-3231	327	19	computed	compute	VERB
fis-3231	327	20	as	as	SCONJ
fis-3231	327	21	follows	follow	VERB
fis-3231	327	22			NOUN
fis-3231	327	23			SYM
fis-3231	327	24			NOUN
fis-3231	328	1			PUNCT
fis-3231	328	2			NOUN
fis-3231	328	3			X
fis-3231	329	1			PROPN
fis-3231	329	2			NUM
fis-3231	329	3			NOUN
fis-3231	329	4			NUM
fis-3231	329	5			NOUN
fis-3231	329	6			X
fis-3231	330	1			PRON
fis-3231	330	2			NOUN
fis-3231	330	3			NOUN
fis-3231	330	4			NOUN
fis-3231	330	5	1	1	NUM
fis-3231	330	6	2	2	NUM
fis-3231	330	7	10	10	NUM
fis-3231	330	8	0	0	NUM
fis-3231	330	9	1	1	NUM
fis-3231	330	10	101	101	NUM
fis-3231	330	11	10	10	NUM
fis-3231	330	12	φ	φ	PROPN
fis-3231	330	13	(	(	PUNCT
fis-3231	330	14	)	)	PUNCT
fis-3231	330	15	     	     	SPACE
fis-3231	330	16	,	,	PUNCT
fis-3231	330	17	φ	φ	PROPN
fis-3231	330	18	d	d	PROPN
fis-3231	330	19	v	v	ADP
fis-3231	330	20	a	a	DET
fis-3231	330	21	linear	linear	NOUN
fis-3231	330	22	d	d	X
fis-3231	330	23	(	(	PUNCT
fis-3231	330	24	37	37	NUM
fis-3231	330	25	)	)	PUNCT
fis-3231	330	26			NOUN
fis-3231	330	27			SYM
fis-3231	330	28			NOUN
fis-3231	330	29			SYM
fis-3231	330	30			NOUN
fis-3231	330	31			PUNCT
fis-3231	331	1			NOUN
fis-3231	332	1			X
fis-3231	333	1			X
fis-3231	333	2			X
fis-3231	333	3			NUM
fis-3231	333	4			NUM
fis-3231	333	5			NOUN
fis-3231	333	6			NUM
fis-3231	333	7			NOUN
fis-3231	333	8			X
fis-3231	333	9			PROPN
fis-3231	333	10			ADV
fis-3231	333	11			PUNCT
fis-3231	333	12			PROPN
fis-3231	333	13			NOUN
fis-3231	333	14			NOUN
fis-3231	333	15	1	1	NUM
fis-3231	333	16	2	2	NUM
fis-3231	333	17	1	1	NUM
fis-3231	333	18	2	2	NUM
fis-3231	333	19	40	40	NUM
fis-3231	333	20	0	0	NUM
fis-3231	333	21	1	1	NUM
fis-3231	333	22	10	10	NUM
fis-3231	333	23	12	12	NUM
fis-3231	333	24	1	1	NUM
fis-3231	333	25	14	14	NUM
fis-3231	333	26	11	11	NUM
fis-3231	333	27	10	10	NUM
fis-3231	333	28	φ	φ	PROPN
fis-3231	333	29	(	(	PUNCT
fis-3231	333	30	)	)	PUNCT
fis-3231	333	31	     	     	SPACE
fis-3231	333	32	φ	φ	PROPN
fis-3231	333	33	d	d	PROPN
fis-3231	333	34	v	v	ADP
fis-3231	333	35	a	a	DET
fis-3231	333	36	a	a	DET
fis-3231	333	37	a	a	DET
fis-3231	333	38	nonlinear	nonlinear	ADJ
fis-3231	333	39	d	d	X
fis-3231	333	40	(	(	PUNCT
fis-3231	333	41	38	38	NUM
fis-3231	333	42	)	)	PUNCT
fis-3231	333	43	figure	figure	NOUN
fis-3231	333	44	9	9	NUM
fis-3231	333	45	:	:	PUNCT
fis-3231	333	46	impact	impact	NOUN
fis-3231	333	47	velocity	velocity	NOUN
fis-3231	333	48	in	in	ADP
fis-3231	333	49	function	function	NOUN
fis-3231	333	50	of	of	ADP
fis-3231	333	51	the	the	DET
fis-3231	333	52	maximum	maximum	ADJ
fis-3231	333	53	deflection	deflection	NOUN
fis-3231	333	54	of	of	ADP
fis-3231	333	55	the	the	DET
fis-3231	333	56	beam	beam	NOUN
fis-3231	333	57	.	.	PUNCT
fis-3231	334	1	(	(	PUNCT
fis-3231	334	2	a	a	X
fis-3231	334	3	)	)	PUNCT
fis-3231	334	4	the	the	DET
fis-3231	334	5	projectile	projectile	NOUN
fis-3231	334	6	has	have	VERB
fis-3231	334	7	a	a	DET
fis-3231	334	8	mass	mass	ADJ
fis-3231	334	9	ratio	ratio	NOUN
fis-3231	334	10			NOUN
fis-3231	334	11	of	of	ADP
fis-3231	334	12	50	50	NUM
fis-3231	334	13	%	%	NOUN
fis-3231	334	14	.	.	PUNCT
fis-3231	335	1	(	(	PUNCT
fis-3231	335	2	b	b	X
fis-3231	335	3	)	)	PUNCT
fis-3231	335	4	the	the	DET
fis-3231	335	5	projectile	projectile	NOUN
fis-3231	335	6	has	have	VERB
fis-3231	335	7	a	a	DET
fis-3231	335	8	mass	mass	ADJ
fis-3231	335	9	ratio	ratio	NOUN
fis-3231	335	10			NOUN
fis-3231	335	11	of	of	ADP
fis-3231	335	12	200	200	NUM
fis-3231	335	13	%	%	NOUN
fis-3231	335	14	.	.	PUNCT
fis-3231	336	1	fig	fig	NOUN
fis-3231	336	2	.	.	PUNCT
fis-3231	337	1	(	(	PUNCT
fis-3231	337	2	9	9	X
fis-3231	337	3	)	)	PUNCT
fis-3231	337	4	shows	show	VERB
fis-3231	337	5	how	how	SCONJ
fis-3231	337	6	the	the	DET
fis-3231	337	7	impact	impact	NOUN
fis-3231	337	8	velocity	velocity	NOUN
fis-3231	337	9	depends	depend	VERB
fis-3231	337	10	by	by	ADP
fis-3231	337	11	the	the	DET
fis-3231	337	12	maximum	maximum	ADJ
fis-3231	337	13	deflection	deflection	NOUN
fis-3231	337	14	of	of	ADP
fis-3231	337	15	the	the	DET
fis-3231	337	16	beam	beam	NOUN
fis-3231	337	17	with	with	ADP
fis-3231	337	18	two	two	NUM
fis-3231	337	19	different	different	ADJ
fis-3231	337	20	mass	mass	NOUN
fis-3231	337	21	ratio	ratio	NOUN
fis-3231	337	22			NOUN
fis-3231	337	23	.	.	PUNCT
fis-3231	338	1	in	in	ADP
fis-3231	338	2	large	large	ADJ
fis-3231	338	3	displacement	displacement	NOUN
fis-3231	338	4	the	the	DET
fis-3231	338	5	impact	impact	NOUN
fis-3231	338	6	velocity	velocity	NOUN
fis-3231	338	7	is	be	AUX
fis-3231	338	8	not	not	PART
fis-3231	338	9	linear	linear	ADJ
fis-3231	338	10	but	but	CCONJ
fis-3231	338	11	follow	follow	VERB
fis-3231	338	12	the	the	DET
fis-3231	338	13	nonlinear	nonlinear	ADJ
fis-3231	338	14	frequency	frequency	NOUN
fis-3231	338	15	trend	trend	NOUN
fis-3231	338	16	.	.	PUNCT
fis-3231	339	1	therefore	therefore	ADV
fis-3231	339	2	,	,	PUNCT
fis-3231	339	3	the	the	DET
fis-3231	339	4	hardening	harden	VERB
fis-3231	339	5	behaviour	behaviour	NOUN
fis-3231	339	6	of	of	ADP
fis-3231	339	7	the	the	DET
fis-3231	339	8	first	first	ADJ
fis-3231	339	9	frequency	frequency	NOUN
fis-3231	339	10	leads	lead	VERB
fis-3231	339	11	to	to	ADP
fis-3231	339	12	an	an	DET
fis-3231	339	13	increase	increase	NOUN
fis-3231	339	14	of	of	ADP
fis-3231	339	15	impact	impact	NOUN
fis-3231	339	16	velocity	velocity	NOUN
fis-3231	339	17	to	to	PART
fis-3231	339	18	obtain	obtain	VERB
fis-3231	339	19	the	the	DET
fis-3231	339	20	predicted	predict	VERB
fis-3231	339	21	amplitude	amplitude	NOUN
fis-3231	339	22	in	in	ADP
fis-3231	339	23	the	the	DET
fis-3231	339	24	linear	linear	PROPN
fis-3231	339	25	theory	theory	NOUN
fis-3231	339	26	.	.	PUNCT
fis-3231	340	1	as	as	SCONJ
fis-3231	340	2	the	the	DET
fis-3231	340	3	mass	mass	PROPN
fis-3231	340	4	ratio	ratio	NOUN
fis-3231	340	5	increase	increase	VERB
fis-3231	340	6	the	the	DET
fis-3231	340	7	hardening	harden	VERB
fis-3231	340	8	behaviour	behaviour	NOUN
fis-3231	340	9	persists	persist	VERB
fis-3231	340	10	and	and	CCONJ
fis-3231	340	11	the	the	DET
fis-3231	340	12	nonlinear	nonlinear	ADJ
fis-3231	340	13	terms	term	NOUN
fis-3231	340	14	have	have	VERB
fis-3231	340	15	more	more	ADJ
fis-3231	340	16	relevance	relevance	NOUN
fis-3231	340	17	,	,	PUNCT
fis-3231	340	18	as	as	SCONJ
fis-3231	340	19	shown	show	VERB
fis-3231	340	20	in	in	ADP
fis-3231	340	21	fig	fig	NOUN
fis-3231	340	22	.	.	PUNCT
fis-3231	341	1	(	(	PUNCT
fis-3231	341	2	9)b	9)b	NOUN
fis-3231	341	3	)	)	PUNCT
fis-3231	341	4	.	.	PUNCT
fis-3231	342	1	the	the	DET
fis-3231	342	2	changing	changing	NOUN
fis-3231	342	3	of	of	ADP
fis-3231	342	4	the	the	DET
fis-3231	342	5	impact	impact	NOUN
fis-3231	342	6	distance	distance	NOUN
fis-3231	342	7			NUM
fis-3231	342	8	leads	lead	VERB
fis-3231	342	9	to	to	ADP
fis-3231	342	10	an	an	DET
fis-3231	342	11	increase	increase	NOUN
fis-3231	342	12	in	in	ADP
fis-3231	342	13	slope	slope	NOUN
fis-3231	342	14	of	of	ADP
fis-3231	342	15	the	the	DET
fis-3231	342	16	impact	impact	NOUN
fis-3231	342	17	velocity	velocity	NOUN
fis-3231	342	18	-	-	PUNCT
fis-3231	342	19	amplitude	amplitude	NOUN
fis-3231	342	20	relationship	relationship	NOUN
fis-3231	342	21	.	.	PUNCT
fis-3231	343	1	even	even	ADV
fis-3231	343	2	in	in	ADP
fis-3231	343	3	these	these	DET
fis-3231	343	4	case	case	NOUN
fis-3231	343	5	,	,	PUNCT
fis-3231	343	6	the	the	DET
fis-3231	343	7	hardening	harden	VERB
fis-3231	343	8	behaviour	behaviour	NOUN
fis-3231	343	9	persists	persist	VERB
fis-3231	343	10	but	but	CCONJ
fis-3231	343	11	the	the	DET
fis-3231	343	12	nonlinear	nonlinear	ADJ
fis-3231	343	13	terms	term	NOUN
fis-3231	343	14	have	have	VERB
fis-3231	343	15	less	less	ADJ
fis-3231	343	16	relevance	relevance	NOUN
fis-3231	343	17	.	.	PUNCT
fis-3231	344	1	in	in	ADP
fis-3231	344	2	impact	impact	NOUN
fis-3231	344	3	dynamics	dynamic	NOUN
fis-3231	344	4	the	the	DET
fis-3231	344	5	absorption	absorption	NOUN
fis-3231	344	6	energy	energy	NOUN
fis-3231	344	7	on	on	ADP
fis-3231	344	8	the	the	DET
fis-3231	344	9	impact	impact	NOUN
fis-3231	344	10	is	be	AUX
fis-3231	344	11	the	the	DET
fis-3231	344	12	key	key	ADJ
fis-3231	344	13	information	information	NOUN
fis-3231	344	14	as	as	ADV
fis-3231	344	15	well	well	ADV
fis-3231	344	16	as	as	ADP
fis-3231	344	17	the	the	DET
fis-3231	344	18	displacements	displacement	NOUN
fis-3231	344	19	,	,	PUNCT
fis-3231	344	20	and	and	CCONJ
fis-3231	344	21	reactions	reaction	NOUN
fis-3231	344	22	forces	force	NOUN
fis-3231	344	23	.	.	PUNCT
fis-3231	345	1	all	all	DET
fis-3231	345	2	information	information	NOUN
fis-3231	345	3	can	can	AUX
fis-3231	345	4	be	be	AUX
fis-3231	345	5	obtained	obtain	VERB
fis-3231	345	6	by	by	ADP
fis-3231	345	7	means	mean	NOUN
fis-3231	345	8	of	of	ADP
fis-3231	345	9	analytical	analytical	ADJ
fis-3231	345	10	model	model	NOUN
fis-3231	345	11	but	but	CCONJ
fis-3231	345	12	the	the	DET
fis-3231	345	13	mono	mono	NOUN
fis-3231	345	14	-	-	PUNCT
fis-3231	345	15	modal	modal	NOUN
fis-3231	345	16	approach	approach	NOUN
fis-3231	345	17	is	be	AUX
fis-3231	345	18	not	not	PART
fis-3231	345	19	able	able	ADJ
fis-3231	345	20	to	to	PART
fis-3231	345	21	describe	describe	VERB
fis-3231	345	22	the	the	DET
fis-3231	345	23	real	real	ADJ
fis-3231	345	24	time	time	NOUN
fis-3231	345	25	history	history	NOUN
fis-3231	345	26	of	of	ADP
fis-3231	345	27	the	the	DET
fis-3231	345	28	system	system	NOUN
fis-3231	345	29	.	.	PUNCT
fis-3231	346	1	for	for	ADP
fis-3231	346	2	instance	instance	NOUN
fis-3231	346	3	,	,	PUNCT
fis-3231	346	4	the	the	DET
fis-3231	346	5	boundary	boundary	ADJ
fis-3231	346	6	conditions	condition	NOUN
fis-3231	346	7	in	in	ADP
fis-3231	346	8	eqn.(30	eqn.(30	NOUN
fis-3231	346	9	)	)	PUNCT
fis-3231	346	10	impose	impose	VERB
fis-3231	346	11	the	the	DET
fis-3231	346	12	displacement	displacement	NOUN
fis-3231	346	13	is	be	AUX
fis-3231	346	14	zero	zero	NUM
fis-3231	346	15	and	and	CCONJ
fis-3231	346	16	the	the	DET
fis-3231	346	17	velocity	velocity	NOUN
fis-3231	346	18	is	be	AUX
fis-3231	346	19	0v	0v	NOUN
fis-3231	346	20	only	only	ADV
fis-3231	346	21	in	in	ADP
fis-3231	346	22	the	the	DET
fis-3231	346	23	position	position	NOUN
fis-3231	346	24	where	where	SCONJ
fis-3231	346	25	the	the	DET
fis-3231	346	26	impact	impact	NOUN
fis-3231	346	27	occurs	occur	VERB
fis-3231	346	28	.	.	PUNCT
fis-3231	347	1	taking	take	VERB
fis-3231	347	2	into	into	ADP
fis-3231	347	3	account	account	NOUN
fis-3231	347	4	only	only	ADV
fis-3231	347	5	the	the	DET
fis-3231	347	6	first	first	ADJ
fis-3231	347	7	vibration	vibration	NOUN
fis-3231	347	8	mode	mode	NOUN
fis-3231	347	9	is	be	AUX
fis-3231	347	10	not	not	PART
fis-3231	347	11	possible	possible	ADJ
fis-3231	347	12	to	to	PART
fis-3231	347	13	have	have	VERB
fis-3231	347	14	this	this	DET
fis-3231	347	15	trend	trend	NOUN
fis-3231	347	16	m.	m.	NOUN
fis-3231	347	17	utzeri	utzeri	PROPN
fis-3231	347	18	et	et	PROPN
fis-3231	347	19	alii	alii	PROPN
fis-3231	347	20	,	,	PUNCT
fis-3231	347	21	frattura	frattura	PROPN
fis-3231	347	22	ed	ed	PROPN
fis-3231	347	23	integrità	integrità	PROPN
fis-3231	347	24	strutturale	strutturale	PROPN
fis-3231	347	25	,	,	PUNCT
fis-3231	347	26	58	58	NUM
fis-3231	347	27	(	(	PUNCT
fis-3231	347	28	2021	2021	NUM
fis-3231	347	29	)	)	PUNCT
fis-3231	347	30	254	254	NUM
fis-3231	347	31	-	-	SYM
fis-3231	347	32	271	271	NUM
fis-3231	347	33	;	;	PUNCT
fis-3231	347	34	doi	doi	NOUN
fis-3231	347	35	:	:	PUNCT
fis-3231	347	36	10.3221	10.3221	NUM
fis-3231	347	37	/	/	SYM
fis-3231	347	38	igf	igf	PROPN
fis-3231	347	39	-	-	PUNCT
fis-3231	347	40	esis.58.19	esis.58.19	PROPN
fis-3231	347	41	267	267	NUM
fis-3231	347	42	because	because	SCONJ
fis-3231	347	43	the	the	DET
fis-3231	347	44	speed	speed	NOUN
fis-3231	347	45	is	be	AUX
fis-3231	347	46	function	function	NOUN
fis-3231	347	47	of	of	ADP
fis-3231	347	48	only	only	ADJ
fis-3231	347	49	first	first	ADJ
fis-3231	347	50	mode	mode	NOUN
fis-3231	347	51	shape	shape	NOUN
fis-3231	347	52	.	.	PUNCT
fis-3231	348	1	following	follow	VERB
fis-3231	348	2	multi	multi	ADJ
fis-3231	348	3	-	-	ADJ
fis-3231	348	4	modal	modal	ADJ
fis-3231	348	5	superposition	superposition	NOUN
fis-3231	348	6	approach	approach	NOUN
fis-3231	348	7	,	,	PUNCT
fis-3231	348	8	a	a	DET
fis-3231	348	9	trend	trend	NOUN
fis-3231	348	10	quite	quite	ADV
fis-3231	348	11	similar	similar	ADJ
fis-3231	348	12	to	to	ADP
fis-3231	348	13	the	the	DET
fis-3231	348	14	dirac	dirac	NOUN
fis-3231	348	15	function	function	NOUN
fis-3231	348	16	can	can	AUX
fis-3231	348	17	be	be	AUX
fis-3231	348	18	achieved	achieve	VERB
fis-3231	348	19	.	.	PUNCT
fis-3231	349	1	therefore	therefore	ADV
fis-3231	349	2	,	,	PUNCT
fis-3231	349	3	a	a	DET
fis-3231	349	4	superposition	superposition	NOUN
fis-3231	349	5	of	of	ADP
fis-3231	349	6	10	10	NUM
fis-3231	349	7	modes	mode	NOUN
fis-3231	349	8	is	be	AUX
fis-3231	349	9	computed	compute	VERB
fis-3231	349	10	where	where	SCONJ
fis-3231	349	11	only	only	ADV
fis-3231	349	12	the	the	DET
fis-3231	349	13	first	first	ADJ
fis-3231	349	14	three	three	NUM
fis-3231	349	15	modes	mode	NOUN
fis-3231	349	16	takes	take	VERB
fis-3231	349	17	into	into	ADP
fis-3231	349	18	account	account	NOUN
fis-3231	349	19	nonlinear	nonlinear	ADJ
fis-3231	349	20	behaviour	behaviour	NOUN
fis-3231	349	21	because	because	SCONJ
fis-3231	349	22	of	of	ADP
fis-3231	349	23	computational	computational	ADJ
fis-3231	349	24	efforts	effort	NOUN
fis-3231	349	25	.	.	PUNCT
fis-3231	350	1	fig	fig	NOUN
fis-3231	350	2	.	.	PUNCT
fis-3231	351	1	(	(	PUNCT
fis-3231	351	2	10	10	NUM
fis-3231	351	3	)	)	PUNCT
fis-3231	351	4	shows	show	VERB
fis-3231	351	5	the	the	DET
fis-3231	351	6	energy	energy	NOUN
fis-3231	351	7	time	time	NOUN
fis-3231	351	8	history	history	NOUN
fis-3231	351	9	in	in	ADP
fis-3231	351	10	a	a	DET
fis-3231	351	11	impact	impact	NOUN
fis-3231	351	12	of	of	ADP
fis-3231	351	13	projectile	projectile	NOUN
fis-3231	351	14	with	with	ADP
fis-3231	351	15			NUM
fis-3231	351	16			NUM
fis-3231	351	17	0.9	0.9	NUM
fis-3231	351	18	,	,	PUNCT
fis-3231	351	19			NOUN
fis-3231	351	20			NOUN
fis-3231	351	21	0.5	0.5	NUM
fis-3231	351	22	,	,	PUNCT
fis-3231	351	23	and	and	CCONJ
fis-3231	351	24	0	0	NUM
fis-3231	351	25	5	5	NUM
fis-3231	351	26	m	m	NOUN
fis-3231	351	27	v	v	NOUN
fis-3231	351	28	s	s	NOUN
fis-3231	351	29	.	.	PUNCT
fis-3231	352	1	figure	figure	NOUN
fis-3231	352	2	10	10	NUM
fis-3231	352	3	:	:	PUNCT
fis-3231	352	4	energy	energy	NOUN
fis-3231	352	5	time	time	NOUN
fis-3231	352	6	history	history	NOUN
fis-3231	352	7	.	.	PUNCT
fis-3231	353	1	figure	figure	VERB
fis-3231	353	2	11	11	NUM
fis-3231	353	3	:	:	PUNCT
fis-3231	353	4	deflection	deflection	NOUN
fis-3231	353	5	history	history	NOUN
fis-3231	353	6	of	of	ADP
fis-3231	353	7	the	the	DET
fis-3231	353	8	free	free	ADJ
fis-3231	353	9	-	-	PUNCT
fis-3231	353	10	end	end	NOUN
fis-3231	353	11	beam	beam	NOUN
fis-3231	353	12	during	during	ADP
fis-3231	353	13	the	the	DET
fis-3231	353	14	impact	impact	NOUN
fis-3231	353	15	of	of	ADP
fis-3231	353	16	projectile	projectile	NOUN
fis-3231	353	17	at	at	ADP
fis-3231	353	18			NUM
fis-3231	353	19			NUM
fis-3231	353	20	0.95	0.95	NUM
fis-3231	353	21	.	.	PUNCT
fis-3231	354	1	(	(	PUNCT
fis-3231	354	2	a	a	X
fis-3231	354	3	)	)	PUNCT
fis-3231	354	4	influence	influence	NOUN
fis-3231	354	5	of	of	ADP
fis-3231	354	6	projectile	projectile	NOUN
fis-3231	354	7	mass	mass	NOUN
fis-3231	354	8	with	with	ADP
fis-3231	354	9	an	an	DET
fis-3231	354	10	initial	initial	ADJ
fis-3231	354	11	speed	speed	NOUN
fis-3231	354	12	of	of	ADP
fis-3231	354	13	5	5	NUM
fis-3231	354	14	m	m	NOUN
fis-3231	354	15	s	s	NOUN
fis-3231	354	16	.	.	PUNCT
fis-3231	355	1	(	(	PUNCT
fis-3231	355	2	b	b	X
fis-3231	355	3	)	)	PUNCT
fis-3231	355	4	influence	influence	NOUN
fis-3231	355	5	of	of	ADP
fis-3231	355	6	projectile	projectile	NOUN
fis-3231	355	7	speed	speed	NOUN
fis-3231	355	8	with	with	ADP
fis-3231	355	9	a	a	DET
fis-3231	355	10	mass	mass	NOUN
fis-3231	355	11	ratio	ratio	NOUN
fis-3231	355	12			NOUN
fis-3231	355	13	of	of	ADP
fis-3231	355	14	50	50	NUM
fis-3231	355	15	%	%	NOUN
fis-3231	355	16	.	.	PUNCT
fis-3231	356	1	in	in	ADP
fis-3231	356	2	order	order	NOUN
fis-3231	356	3	to	to	PART
fis-3231	356	4	confirm	confirm	VERB
fis-3231	356	5	the	the	DET
fis-3231	356	6	validation	validation	NOUN
fis-3231	356	7	of	of	ADP
fis-3231	356	8	the	the	DET
fis-3231	356	9	model	model	NOUN
fis-3231	356	10	,	,	PUNCT
fis-3231	356	11	the	the	DET
fis-3231	356	12	kinetic	kinetic	ADJ
fis-3231	356	13	energy	energy	NOUN
fis-3231	356	14	of	of	ADP
fis-3231	356	15	the	the	DET
fis-3231	356	16	system	system	NOUN
fis-3231	356	17	is	be	AUX
fis-3231	356	18	split	split	VERB
fis-3231	356	19	between	between	ADP
fis-3231	356	20	the	the	DET
fis-3231	356	21	beam	beam	NOUN
fis-3231	356	22	and	and	CCONJ
fis-3231	356	23	the	the	DET
fis-3231	356	24	projectile	projectile	NOUN
fis-3231	356	25	.	.	PUNCT
fis-3231	357	1	at	at	ADP
fis-3231	357	2			PROPN
fis-3231	357	3	0	0	NUM
fis-3231	357	4	t	t	NOUN
fis-3231	357	5	the	the	DET
fis-3231	357	6	kinetic	kinetic	ADJ
fis-3231	357	7	energy	energy	NOUN
fis-3231	357	8	of	of	ADP
fis-3231	357	9	the	the	DET
fis-3231	357	10	projectile	projectile	NOUN
fis-3231	357	11	corresponds	correspond	VERB
fis-3231	357	12	to	to	ADP
fis-3231	357	13	the	the	DET
fis-3231	357	14	kinetic	kinetic	ADJ
fis-3231	357	15	energy	energy	NOUN
fis-3231	357	16	of	of	ADP
fis-3231	357	17	free	free	ADJ
fis-3231	357	18	projectile	projectile	NOUN
fis-3231	357	19	with	with	ADP
fis-3231	357	20	speed	speed	NOUN
fis-3231	357	21	0v	0v	NOUN
fis-3231	357	22	.	.	PUNCT
fis-3231	358	1	at	at	ADP
fis-3231	358	2	the	the	DET
fis-3231	358	3	same	same	ADJ
fis-3231	358	4	time	time	NOUN
fis-3231	358	5	,	,	PUNCT
fis-3231	358	6	the	the	DET
fis-3231	358	7	kinetic	kinetic	ADJ
fis-3231	358	8	energy	energy	NOUN
fis-3231	358	9	of	of	ADP
fis-3231	358	10	the	the	DET
fis-3231	358	11	beam	beam	NOUN
fis-3231	358	12	is	be	AUX
fis-3231	358	13	very	very	ADV
fis-3231	358	14	close	close	ADJ
fis-3231	358	15	to	to	ADP
fis-3231	358	16	zero	zero	NUM
fis-3231	358	17	because	because	SCONJ
fis-3231	358	18	it	it	PRON
fis-3231	358	19	is	be	AUX
fis-3231	358	20	relaxed	relax	VERB
fis-3231	358	21	.	.	PUNCT
fis-3231	359	1	increasing	increase	VERB
fis-3231	359	2	the	the	DET
fis-3231	359	3	numbers	number	NOUN
fis-3231	359	4	of	of	ADP
fis-3231	359	5	modes	mode	NOUN
fis-3231	359	6	into	into	ADP
fis-3231	359	7	the	the	DET
fis-3231	359	8	model	model	NOUN
fis-3231	359	9	the	the	DET
fis-3231	359	10	beam	beam	NOUN
fis-3231	359	11	reaches	reach	VERB
fis-3231	359	12	zero	zero	NUM
fis-3231	359	13	.	.	PUNCT
fis-3231	360	1	in	in	ADP
fis-3231	360	2	early	early	ADJ
fis-3231	360	3	stages	stage	NOUN
fis-3231	360	4	,	,	PUNCT
fis-3231	360	5	the	the	DET
fis-3231	360	6	beam	beam	NOUN
fis-3231	360	7	undergoes	undergo	VERB
fis-3231	360	8	the	the	DET
fis-3231	360	9	influence	influence	NOUN
fis-3231	360	10	of	of	ADP
fis-3231	360	11	the	the	DET
fis-3231	360	12	projectile	projectile	NOUN
fis-3231	360	13	velocity	velocity	NOUN
fis-3231	360	14	and	and	CCONJ
fis-3231	360	15	starts	start	VERB
fis-3231	360	16	to	to	PART
fis-3231	360	17	deflect	deflect	VERB
fis-3231	360	18	.	.	PUNCT
fis-3231	361	1	at	at	ADP
fis-3231	361	2	the	the	DET
fis-3231	361	3	end	end	NOUN
fis-3231	361	4	of	of	ADP
fis-3231	361	5	the	the	DET
fis-3231	361	6	impact	impact	NOUN
fis-3231	361	7	,	,	PUNCT
fis-3231	361	8	the	the	DET
fis-3231	361	9	beam	beam	NOUN
fis-3231	361	10	continues	continue	VERB
fis-3231	361	11	to	to	PART
fis-3231	361	12	oscillate	oscillate	VERB
fis-3231	361	13	.	.	PUNCT
fis-3231	362	1	the	the	DET
fis-3231	362	2	sum	sum	NOUN
fis-3231	362	3	of	of	ADP
fis-3231	362	4	the	the	DET
fis-3231	362	5	kinetic	kinetic	ADJ
fis-3231	362	6	and	and	CCONJ
fis-3231	362	7	potential	potential	ADJ
fis-3231	362	8	energies	energy	NOUN
fis-3231	362	9	represents	represent	VERB
fis-3231	362	10	the	the	DET
fis-3231	362	11	total	total	ADJ
fis-3231	362	12	energy	energy	NOUN
fis-3231	362	13	of	of	ADP
fis-3231	362	14	the	the	DET
fis-3231	362	15	system	system	NOUN
fis-3231	362	16	.	.	PUNCT
fis-3231	363	1	the	the	DET
fis-3231	363	2	fig	fig	NOUN
fis-3231	363	3	.	.	PUNCT
fis-3231	364	1	(	(	PUNCT
fis-3231	364	2	10	10	NUM
fis-3231	364	3	)	)	PUNCT
fis-3231	364	4	shows	show	VERB
fis-3231	364	5	the	the	DET
fis-3231	364	6	average	average	NOUN
fis-3231	364	7	of	of	ADP
fis-3231	364	8	the	the	DET
fis-3231	364	9	total	total	ADJ
fis-3231	364	10	energy	energy	NOUN
fis-3231	364	11	is	be	AUX
fis-3231	364	12	constant	constant	ADJ
fis-3231	364	13	.	.	PUNCT
fis-3231	365	1	however	however	ADV
fis-3231	365	2	,	,	PUNCT
fis-3231	365	3	there	there	PRON
fis-3231	365	4	are	be	VERB
fis-3231	365	5	some	some	DET
fis-3231	365	6	fluctuations	fluctuation	NOUN
fis-3231	365	7	due	due	ADP
fis-3231	365	8	to	to	ADP
fis-3231	365	9	the	the	DET
fis-3231	365	10	numerical	numerical	ADJ
fis-3231	365	11	approximation	approximation	NOUN
fis-3231	365	12	in	in	ADP
fis-3231	365	13	multi	multi	ADJ
fis-3231	365	14	-	-	ADJ
fis-3231	365	15	modal	modal	ADJ
fis-3231	365	16	approach	approach	NOUN
fis-3231	365	17	and	and	CCONJ
fis-3231	365	18	nonlinear	nonlinear	ADJ
fis-3231	365	19	equations	equation	NOUN
fis-3231	365	20	.	.	PUNCT
fis-3231	366	1	the	the	DET
fis-3231	366	2	effect	effect	NOUN
fis-3231	366	3	of	of	ADP
fis-3231	366	4	geometrical	geometrical	ADJ
fis-3231	366	5	m.	m.	NOUN
fis-3231	366	6	utzeri	utzeri	PROPN
fis-3231	366	7	et	et	PROPN
fis-3231	366	8	alii	alii	PROPN
fis-3231	366	9	,	,	PUNCT
fis-3231	366	10	frattura	frattura	PROPN
fis-3231	366	11	ed	ed	PROPN
fis-3231	366	12	integrità	integrità	PROPN
fis-3231	366	13	strutturale	strutturale	PROPN
fis-3231	366	14	,	,	PUNCT
fis-3231	366	15	58	58	NUM
fis-3231	366	16	(	(	PUNCT
fis-3231	366	17	2021	2021	NUM
fis-3231	366	18	)	)	PUNCT
fis-3231	366	19	254	254	NUM
fis-3231	366	20	-	-	SYM
fis-3231	366	21	271	271	NUM
fis-3231	366	22	;	;	PUNCT
fis-3231	366	23	doi	doi	NOUN
fis-3231	366	24	:	:	PUNCT
fis-3231	366	25	10.3221	10.3221	NUM
fis-3231	366	26	/	/	SYM
fis-3231	366	27	igf	igf	PROPN
fis-3231	366	28	-	-	PUNCT
fis-3231	366	29	esis.58.19	esis.58.19	PROPN
fis-3231	366	30	268	268	NUM
fis-3231	366	31	nonlinearities	nonlinearitie	NOUN
fis-3231	366	32	are	be	AUX
fis-3231	366	33	noticeable	noticeable	ADJ
fis-3231	366	34	in	in	ADP
fis-3231	366	35	the	the	DET
fis-3231	366	36	displacement	displacement	ADJ
fis-3231	366	37	history	history	NOUN
fis-3231	366	38	as	as	SCONJ
fis-3231	366	39	shown	show	VERB
fis-3231	366	40	in	in	ADP
fis-3231	366	41	fig	fig	NOUN
fis-3231	366	42	.	.	PUNCT
fis-3231	367	1	(	(	PUNCT
fis-3231	367	2	11	11	NUM
fis-3231	367	3	)	)	PUNCT
fis-3231	367	4	.	.	PUNCT
fis-3231	368	1	the	the	DET
fis-3231	368	2	displacement	displacement	NOUN
fis-3231	368	3	in	in	ADP
fis-3231	368	4	linear	linear	PROPN
fis-3231	368	5	and	and	CCONJ
fis-3231	368	6	nonlinear	nonlinear	ADJ
fis-3231	368	7	response	response	NOUN
fis-3231	368	8	are	be	AUX
fis-3231	368	9	quite	quite	ADV
fis-3231	368	10	similar	similar	ADJ
fis-3231	368	11	in	in	ADP
fis-3231	368	12	the	the	DET
fis-3231	368	13	trend	trend	NOUN
fis-3231	368	14	.	.	PUNCT
fis-3231	369	1	however	however	ADV
fis-3231	369	2	,	,	PUNCT
fis-3231	369	3	the	the	DET
fis-3231	369	4	time	time	NOUN
fis-3231	369	5	of	of	ADP
fis-3231	369	6	impact	impact	NOUN
fis-3231	369	7	is	be	AUX
fis-3231	369	8	clearly	clearly	ADV
fis-3231	369	9	reduced	reduce	VERB
fis-3231	369	10	due	due	ADP
fis-3231	369	11	to	to	ADP
fis-3231	369	12	the	the	DET
fis-3231	369	13	hardening	harden	VERB
fis-3231	369	14	behaviour	behaviour	NOUN
fis-3231	369	15	in	in	ADP
fis-3231	369	16	the	the	DET
fis-3231	369	17	first	first	ADJ
fis-3231	369	18	nonlinear	nonlinear	ADJ
fis-3231	369	19	frequency	frequency	NOUN
fis-3231	369	20	.	.	PUNCT
fis-3231	370	1	the	the	DET
fis-3231	370	2	effect	effect	NOUN
fis-3231	370	3	also	also	ADV
fis-3231	370	4	involves	involve	VERB
fis-3231	370	5	the	the	DET
fis-3231	370	6	peak	peak	NOUN
fis-3231	370	7	of	of	ADP
fis-3231	370	8	deflection	deflection	NOUN
fis-3231	370	9	.	.	PUNCT
fis-3231	371	1	in	in	ADP
fis-3231	371	2	the	the	DET
fis-3231	371	3	nonlinear	nonlinear	ADJ
fis-3231	371	4	model	model	NOUN
fis-3231	371	5	,	,	PUNCT
fis-3231	371	6	the	the	DET
fis-3231	371	7	maximum	maximum	ADJ
fis-3231	371	8	amplitude	amplitude	NOUN
fis-3231	371	9	reaches	reach	VERB
fis-3231	371	10	a	a	DET
fis-3231	371	11	lower	low	ADJ
fis-3231	371	12	amplitude	amplitude	NOUN
fis-3231	371	13	than	than	ADP
fis-3231	371	14	linear	linear	ADJ
fis-3231	371	15	form	form	NOUN
fis-3231	371	16	.	.	PUNCT
fis-3231	372	1	it	it	PRON
fis-3231	372	2	is	be	AUX
fis-3231	372	3	reduced	reduce	VERB
fis-3231	372	4	because	because	SCONJ
fis-3231	372	5	of	of	ADP
fis-3231	372	6	the	the	DET
fis-3231	372	7	increase	increase	NOUN
fis-3231	372	8	of	of	ADP
fis-3231	372	9	stiffness	stiffness	NOUN
fis-3231	372	10	in	in	ADP
fis-3231	372	11	large	large	ADJ
fis-3231	372	12	displacement	displacement	NOUN
fis-3231	372	13	or	or	CCONJ
fis-3231	372	14	rather	rather	ADV
fis-3231	372	15	the	the	DET
fis-3231	372	16	hardening	harden	VERB
fis-3231	372	17	behaviour	behaviour	NOUN
fis-3231	372	18	in	in	ADP
fis-3231	372	19	the	the	DET
fis-3231	372	20	first	first	ADJ
fis-3231	372	21	nonlinear	nonlinear	ADJ
fis-3231	372	22	frequency	frequency	NOUN
fis-3231	372	23	.	.	PUNCT
fis-3231	373	1	numerical	numerical	PROPN
fis-3231	373	2	results	result	NOUN
fis-3231	373	3	first	first	ADV
fis-3231	373	4	of	of	ADP
fis-3231	373	5	all	all	PRON
fis-3231	373	6	,	,	PUNCT
fis-3231	373	7	the	the	DET
fis-3231	373	8	natural	natural	ADJ
fis-3231	373	9	frequency	frequency	NOUN
fis-3231	373	10	obtained	obtain	VERB
fis-3231	373	11	by	by	ADP
fis-3231	373	12	the	the	DET
fis-3231	373	13	analytical	analytical	ADJ
fis-3231	373	14	model	model	NOUN
fis-3231	373	15	was	be	AUX
fis-3231	373	16	compared	compare	VERB
fis-3231	373	17	with	with	ADP
fis-3231	373	18	the	the	DET
fis-3231	373	19	numerical	numerical	ADJ
fis-3231	373	20	model	model	NOUN
fis-3231	373	21	.	.	PUNCT
fis-3231	374	1	tab.(2	tab.(2	X
fis-3231	374	2	)	)	PUNCT
fis-3231	374	3	shows	show	VERB
fis-3231	374	4	this	this	DET
fis-3231	374	5	comparison	comparison	NOUN
fis-3231	374	6	in	in	ADP
fis-3231	374	7	which	which	PRON
fis-3231	374	8	some	some	DET
fis-3231	374	9	combination	combination	NOUN
fis-3231	374	10	of	of	ADP
fis-3231	374	11			NUM
fis-3231	374	12	and	and	CCONJ
fis-3231	374	13			NOUN
fis-3231	374	14	were	be	AUX
fis-3231	374	15	set	set	VERB
fis-3231	374	16	.	.	PUNCT
fis-3231	375	1	the	the	DET
fis-3231	375	2	frequencies	frequency	NOUN
fis-3231	375	3	in	in	ADP
fis-3231	375	4	the	the	DET
fis-3231	375	5	tables	table	NOUN
fis-3231	375	6	confirm	confirm	VERB
fis-3231	375	7	the	the	DET
fis-3231	375	8	accuracy	accuracy	NOUN
fis-3231	375	9	of	of	ADP
fis-3231	375	10	the	the	DET
fis-3231	375	11	analytical	analytical	ADJ
fis-3231	375	12	model	model	NOUN
fis-3231	375	13	.	.	PUNCT
fis-3231	376	1	the	the	DET
fis-3231	376	2	first	first	ADJ
fis-3231	376	3	frequencies	frequency	NOUN
fis-3231	376	4	are	be	AUX
fis-3231	376	5	the	the	DET
fis-3231	376	6	best	good	ADJ
fis-3231	376	7	approximated	approximate	VERB
fis-3231	376	8	by	by	ADP
fis-3231	376	9	the	the	DET
fis-3231	376	10	analytical	analytical	ADJ
fis-3231	376	11	model	model	NOUN
fis-3231	376	12	.	.	PUNCT
fis-3231	377	1	instead	instead	ADV
fis-3231	377	2	the	the	DET
fis-3231	377	3	second	second	ADJ
fis-3231	377	4	and	and	CCONJ
fis-3231	377	5	third	third	ADJ
fis-3231	377	6	frequencies	frequency	NOUN
fis-3231	377	7	are	be	AUX
fis-3231	377	8	slightly	slightly	ADV
fis-3231	377	9	greater	great	ADJ
fis-3231	377	10	than	than	ADP
fis-3231	377	11	numerical	numerical	ADJ
fis-3231	377	12	ones	one	NOUN
fis-3231	377	13	.	.	PUNCT
fis-3231	378	1			NUM
fis-3231	378	2			NOUN
fis-3231	378	3	mode	mode	NOUN
fis-3231	378	4	n	n	PRON
fis-3231	378	5	analytical	analytical	ADJ
fis-3231	378	6	[	[	X
fis-3231	378	7	hz	hz	X
fis-3231	378	8	]	]	X
fis-3231	378	9	fem	fem	NOUN
fis-3231	379	1	[	[	X
fis-3231	379	2	hz	hz	X
fis-3231	379	3	]	]	X
fis-3231	379	4	0	0	NUM
fis-3231	379	5	0	0	NUM
fis-3231	379	6	1	1	NUM
fis-3231	379	7	°	°	NOUN
fis-3231	379	8	39.333	39.333	NUM
fis-3231	379	9	39.331	39.331	NUM
fis-3231	379	10	2	2	NUM
fis-3231	379	11	°	°	NUM
fis-3231	379	12	246.39	246.39	NUM
fis-3231	379	13	246.39	246.39	NUM
fis-3231	379	14	3	3	NUM
fis-3231	379	15	°	°	ADP
fis-3231	379	16	690.20	690.20	NUM
fis-3231	379	17	690.20	690.20	NUM
fis-3231	379	18	0.75	0.75	NUM
fis-3231	379	19	0.5	0.5	NUM
fis-3231	379	20	1	1	NUM
fis-3231	379	21	°	°	NOUN
fis-3231	379	22	28.771	28.771	NUM
fis-3231	379	23	28.770	28.770	NUM
fis-3231	379	24	2	2	NUM
fis-3231	379	25	°	°	NUM
fis-3231	379	26	243.98	243.98	NUM
fis-3231	379	27	243.94	243.94	NUM
fis-3231	379	28	3	3	NUM
fis-3231	379	29	°	°	NUM
fis-3231	379	30	583.38	583.38	NUM
fis-3231	379	31	582.65	582.65	NUM
fis-3231	379	32	0.5	0.5	NUM
fis-3231	379	33	1	1	NUM
fis-3231	379	34	1	1	NUM
fis-3231	379	35	°	°	NUM
fis-3231	379	36	32.328	32.328	NUM
fis-3231	379	37	32.326	32.326	NUM
fis-3231	379	38	2	2	NUM
fis-3231	379	39	°	°	NUM
fis-3231	379	40	159.04	159.04	NUM
fis-3231	379	41	158.99	158.99	NUM
fis-3231	379	42	3	3	NUM
fis-3231	379	43	°	°	ADP
fis-3231	379	44	690.03	690.03	NUM
fis-3231	379	45	689.30	689.30	NUM
fis-3231	379	46	0.75	0.75	NUM
fis-3231	379	47	2	2	NUM
fis-3231	379	48	1	1	NUM
fis-3231	379	49	°	°	NUM
fis-3231	380	1	18.575	18.575	NUM
fis-3231	380	2	18.572	18.572	NUM
fis-3231	380	3	2	2	NUM
fis-3231	380	4	°	°	NUM
fis-3231	380	5	242.1731	242.1731	NUM
fis-3231	380	6	242.01	242.01	NUM
fis-3231	380	7	3	3	NUM
fis-3231	380	8	°	°	NUM
fis-3231	381	1	531.9391	531.9391	NUM
fis-3231	381	2	531.21	531.21	NUM
fis-3231	381	3	1	1	NUM
fis-3231	381	4	3	3	NUM
fis-3231	381	5	1	1	NUM
fis-3231	381	6	°	°	NUM
fis-3231	381	7	11.697	11.697	NUM
fis-3231	381	8	11.697	11.697	NUM
fis-3231	381	9	2	2	NUM
fis-3231	381	10	°	°	NUM
fis-3231	381	11	176.49	176.49	NUM
fis-3231	381	12	176.43	176.43	NUM
fis-3231	381	13	3	3	NUM
fis-3231	381	14	°	°	ADP
fis-3231	381	15	563.31	563.31	NUM
fis-3231	381	16	562.80	562.80	NUM
fis-3231	381	17	table	table	NOUN
fis-3231	381	18	2	2	NUM
fis-3231	381	19	:	:	PUNCT
fis-3231	381	20	comparison	comparison	NOUN
fis-3231	381	21	of	of	ADP
fis-3231	381	22	natural	natural	ADJ
fis-3231	381	23	frequency	frequency	NOUN
fis-3231	381	24	between	between	ADP
fis-3231	381	25	analytical	analytical	ADJ
fis-3231	381	26	and	and	CCONJ
fis-3231	381	27	numerical	numerical	PROPN
fis-3231	381	28	model	model	PROPN
fis-3231	381	29	the	the	DET
fis-3231	381	30	numerical	numerical	ADJ
fis-3231	381	31	analysis	analysis	NOUN
fis-3231	381	32	was	be	AUX
fis-3231	381	33	carried	carry	VERB
fis-3231	381	34	out	out	ADP
fis-3231	381	35	on	on	ADP
fis-3231	381	36	the	the	DET
fis-3231	381	37	impact	impact	NOUN
fis-3231	381	38	of	of	ADP
fis-3231	381	39	a	a	DET
fis-3231	381	40	mass	mass	NOUN
fis-3231	381	41	with	with	ADP
fis-3231	381	42			NOUN
fis-3231	381	43			NOUN
fis-3231	381	44	0.5	0.5	NUM
fis-3231	381	45	at	at	ADP
fis-3231	381	46	the	the	DET
fis-3231	381	47	impact	impact	NOUN
fis-3231	381	48	distance	distance	NOUN
fis-3231	381	49			NUM
fis-3231	381	50			NUM
fis-3231	381	51	0.9	0.9	NUM
fis-3231	381	52	with	with	ADP
fis-3231	381	53	a	a	DET
fis-3231	381	54	initial	initial	ADJ
fis-3231	381	55	velocity	velocity	NOUN
fis-3231	381	56	0	0	NUM
fis-3231	381	57	5	5	NUM
fis-3231	381	58	m	m	NOUN
fis-3231	381	59	v	v	NOUN
fis-3231	381	60	s	s	NOUN
fis-3231	381	61	.	.	PUNCT
fis-3231	382	1	firstly	firstly	ADV
fis-3231	382	2	,	,	PUNCT
fis-3231	382	3	the	the	DET
fis-3231	382	4	early	early	ADJ
fis-3231	382	5	stages	stage	NOUN
fis-3231	382	6	of	of	ADP
fis-3231	382	7	the	the	DET
fis-3231	382	8	impact	impact	NOUN
fis-3231	382	9	was	be	AUX
fis-3231	382	10	evaluated	evaluate	VERB
fis-3231	382	11	.	.	PUNCT
fis-3231	383	1	the	the	DET
fis-3231	383	2	flexural	flexural	ADJ
fis-3231	383	3	waves	wave	NOUN
fis-3231	383	4	start	start	VERB
fis-3231	383	5	to	to	PART
fis-3231	383	6	travel	travel	VERB
fis-3231	383	7	inside	inside	ADP
fis-3231	383	8	the	the	DET
fis-3231	383	9	beam	beam	NOUN
fis-3231	383	10	after	after	ADP
fis-3231	383	11	the	the	DET
fis-3231	383	12	impact	impact	NOUN
fis-3231	383	13	of	of	ADP
fis-3231	383	14	the	the	DET
fis-3231	383	15	projectile	projectile	NOUN
fis-3231	383	16	.	.	PUNCT
fis-3231	384	1	the	the	DET
fis-3231	384	2	flexural	flexural	ADJ
fis-3231	384	3	waves	wave	NOUN
fis-3231	384	4	is	be	AUX
fis-3231	384	5	showed	show	VERB
fis-3231	384	6	in	in	ADP
fis-3231	384	7	fig	fig	NOUN
fis-3231	384	8	.	.	PUNCT
fis-3231	385	1	(	(	PUNCT
fis-3231	385	2	12	12	NUM
fis-3231	385	3	)	)	PUNCT
fis-3231	385	4	at	at	ADP
fis-3231	385	5	two	two	NUM
fis-3231	385	6	instant	instant	NOUN
fis-3231	385	7	of	of	ADP
fis-3231	385	8	time	time	NOUN
fis-3231	385	9	,	,	PUNCT
fis-3231	385	10	0.00006	0.00006	NUM
fis-3231	385	11	second	second	ADJ
fis-3231	385	12	and	and	CCONJ
fis-3231	385	13	0.00009	0.00009	NUM
fis-3231	385	14	s.	s.	PROPN
fis-3231	385	15	in	in	ADP
fis-3231	385	16	this	this	DET
fis-3231	385	17	time	time	NOUN
fis-3231	385	18	the	the	DET
fis-3231	385	19	flexural	flexural	ADJ
fis-3231	385	20	wave	wave	NOUN
fis-3231	385	21	travels	travel	VERB
fis-3231	385	22	along	along	ADP
fis-3231	385	23	to	to	ADP
fis-3231	385	24	the	the	DET
fis-3231	385	25	beam	beam	NOUN
fis-3231	385	26	and	and	CCONJ
fis-3231	385	27	runs	run	VERB
fis-3231	385	28	a	a	DET
fis-3231	385	29	distance	distance	NOUN
fis-3231	385	30	of	of	ADP
fis-3231	385	31	40.58	40.58	NUM
fis-3231	385	32	mm	mm	NOUN
fis-3231	385	33	,	,	PUNCT
fis-3231	385	34	δ	δ	PROPN
fis-3231	385	35	wavex	wavex	VERB
fis-3231	385	36	in	in	ADP
fis-3231	385	37	fig	fig	NOUN
fis-3231	385	38	.	.	PUNCT
fis-3231	386	1	(	(	PUNCT
fis-3231	386	2	12	12	NUM
fis-3231	386	3	)	)	PUNCT
fis-3231	386	4	.	.	PUNCT
fis-3231	387	1	the	the	DET
fis-3231	387	2	analytical	analytical	ADJ
fis-3231	387	3	flexural	flexural	ADJ
fis-3231	387	4	waves	wave	NOUN
fis-3231	387	5	speed	speed	VERB
fis-3231	387	6	along	along	ADP
fis-3231	387	7	the	the	DET
fis-3231	387	8	beam	beam	NOUN
fis-3231	387	9	can	can	AUX
fis-3231	387	10	be	be	AUX
fis-3231	387	11	computed	compute	VERB
fis-3231	387	12	following	follow	VERB
fis-3231	387	13	the	the	DET
fis-3231	387	14	eqn.(1	eqn.(1	PROPN
fis-3231	387	15	)	)	PUNCT
fis-3231	387	16	.	.	PUNCT
fis-3231	388	1	the	the	DET
fis-3231	388	2	impact	impact	NOUN
fis-3231	388	3	occurs	occur	VERB
fis-3231	388	4	in	in	ADP
fis-3231	388	5	a	a	DET
fis-3231	388	6	time	time	NOUN
fis-3231	388	7	about	about	ADP
fis-3231	388	8	0.00001	0.00001	NUM
fis-3231	388	9	s.	s.	PROPN
fis-3231	388	10	hence	hence	ADV
fis-3231	388	11	,	,	PUNCT
fis-3231	388	12	the	the	DET
fis-3231	388	13	flexural	flexural	ADJ
fis-3231	388	14	wave	wave	NOUN
fis-3231	388	15	speed	speed	NOUN
fis-3231	388	16	is	be	AUX
fis-3231	388	17	1362.362	1362.362	NUM
fis-3231	388	18	m	m	NOUN
fis-3231	388	19	s	s	NOUN
fis-3231	388	20	and	and	CCONJ
fis-3231	388	21	the	the	DET
fis-3231	388	22	theoretical	theoretical	ADJ
fis-3231	388	23	δ	δ	PROPN
fis-3231	388	24	wavex	wavex	PROPN
fis-3231	388	25	is	be	AUX
fis-3231	388	26	40.87	40.87	NUM
fis-3231	388	27	mm	mm	NOUN
fis-3231	388	28	.	.	PUNCT
fis-3231	389	1	consequently	consequently	ADV
fis-3231	389	2	,	,	PUNCT
fis-3231	389	3	the	the	DET
fis-3231	389	4	flexural	flexural	ADJ
fis-3231	389	5	wave	wave	NOUN
fis-3231	389	6	speed	speed	NOUN
fis-3231	389	7	is	be	AUX
fis-3231	389	8	verified	verify	VERB
fis-3231	389	9	.	.	PUNCT
fis-3231	390	1	it	it	PRON
fis-3231	390	2	is	be	AUX
fis-3231	390	3	greater	great	ADJ
fis-3231	390	4	than	than	ADP
fis-3231	390	5	the	the	DET
fis-3231	390	6	impact	impact	NOUN
fis-3231	390	7	velocity	velocity	NOUN
fis-3231	390	8	and	and	CCONJ
fis-3231	390	9	therefore	therefore	ADV
fis-3231	390	10	the	the	DET
fis-3231	390	11	low	low	ADJ
fis-3231	390	12	-	-	PUNCT
fis-3231	390	13	velocity	velocity	NOUN
fis-3231	390	14	assumption	assumption	NOUN
fis-3231	390	15	to	to	PART
fis-3231	390	16	model	model	VERB
fis-3231	390	17	the	the	DET
fis-3231	390	18	impact	impact	NOUN
fis-3231	390	19	is	be	AUX
fis-3231	390	20	confirmed	confirm	VERB
fis-3231	390	21	.	.	PUNCT
fis-3231	391	1	after	after	ADP
fis-3231	391	2	the	the	DET
fis-3231	391	3	early	early	ADJ
fis-3231	391	4	stages	stage	NOUN
fis-3231	391	5	,	,	PUNCT
fis-3231	391	6	the	the	DET
fis-3231	391	7	projectile	projectile	NOUN
fis-3231	391	8	and	and	CCONJ
fis-3231	391	9	the	the	DET
fis-3231	391	10	beam	beam	NOUN
fis-3231	391	11	start	start	VERB
fis-3231	391	12	to	to	ADP
fis-3231	391	13	motion	motion	NOUN
fis-3231	391	14	following	follow	VERB
fis-3231	391	15	the	the	DET
fis-3231	391	16	multi	multi	ADJ
fis-3231	391	17	-	-	ADJ
fis-3231	391	18	modal	modal	ADJ
fis-3231	391	19	theory	theory	NOUN
fis-3231	391	20	.	.	PUNCT
fis-3231	392	1	in	in	ADP
fis-3231	392	2	order	order	NOUN
fis-3231	392	3	to	to	PART
fis-3231	392	4	assess	assess	VERB
fis-3231	392	5	the	the	DET
fis-3231	392	6	compatibility	compatibility	NOUN
fis-3231	392	7	of	of	ADP
fis-3231	392	8	the	the	DET
fis-3231	392	9	analytical	analytical	ADJ
fis-3231	392	10	and	and	CCONJ
fis-3231	392	11	numerical	numerical	ADJ
fis-3231	392	12	models	model	NOUN
fis-3231	392	13	,	,	PUNCT
fis-3231	392	14	a	a	DET
fis-3231	392	15	comparison	comparison	NOUN
fis-3231	392	16	between	between	ADP
fis-3231	392	17	the	the	DET
fis-3231	392	18	models	model	NOUN
fis-3231	392	19	results	result	NOUN
fis-3231	392	20	was	be	AUX
fis-3231	392	21	evaluated	evaluate	VERB
fis-3231	392	22	.	.	PUNCT
fis-3231	393	1	fig	fig	NOUN
fis-3231	393	2	.	.	PUNCT
fis-3231	394	1	(	(	PUNCT
fis-3231	394	2	13	13	NUM
fis-3231	394	3	)	)	PUNCT
fis-3231	394	4	shows	show	VERB
fis-3231	394	5	the	the	DET
fis-3231	394	6	displacement	displacement	NOUN
fis-3231	394	7	and	and	CCONJ
fis-3231	394	8	velocity	velocity	NOUN
fis-3231	394	9	histories	history	NOUN
fis-3231	394	10	of	of	ADP
fis-3231	394	11	the	the	DET
fis-3231	394	12	impacted	impact	VERB
fis-3231	394	13	distance	distance	NOUN
fis-3231	394	14	.	.	PUNCT
fis-3231	395	1	the	the	DET
fis-3231	395	2	deflection	deflection	NOUN
fis-3231	395	3	computed	compute	VERB
fis-3231	395	4	with	with	ADP
fis-3231	395	5	the	the	DET
fis-3231	395	6	analytical	analytical	ADJ
fis-3231	395	7	model	model	NOUN
fis-3231	395	8	overlaps	overlap	VERB
fis-3231	395	9	the	the	DET
fis-3231	395	10	numerical	numerical	ADJ
fis-3231	395	11	ones	one	NOUN
fis-3231	395	12	,	,	PUNCT
fis-3231	395	13	fig	fig	NOUN
fis-3231	395	14	.	.	PUNCT
fis-3231	396	1	(	(	PUNCT
fis-3231	396	2	13a	13a	NUM
fis-3231	396	3	)	)	PUNCT
fis-3231	396	4	.	.	PUNCT
fis-3231	397	1	the	the	DET
fis-3231	397	2	impact	impact	NOUN
fis-3231	397	3	time	time	NOUN
fis-3231	397	4	is	be	AUX
fis-3231	397	5	perfectly	perfectly	ADV
fis-3231	397	6	described	describe	VERB
fis-3231	397	7	as	as	ADV
fis-3231	397	8	well	well	ADV
fis-3231	397	9	as	as	ADP
fis-3231	397	10	the	the	DET
fis-3231	397	11	maximum	maximum	ADJ
fis-3231	397	12	deflection	deflection	NOUN
fis-3231	397	13	.	.	PUNCT
fis-3231	398	1	also	also	ADV
fis-3231	398	2	,	,	PUNCT
fis-3231	398	3	the	the	DET
fis-3231	398	4	analytical	analytical	ADJ
fis-3231	398	5	trend	trend	NOUN
fis-3231	398	6	of	of	ADP
fis-3231	398	7	velocity	velocity	NOUN
fis-3231	398	8	is	be	AUX
fis-3231	398	9	consistent	consistent	ADJ
fis-3231	398	10	with	with	ADP
fis-3231	398	11	the	the	DET
fis-3231	398	12	numerical	numerical	ADJ
fis-3231	398	13	one	one	NUM
fis-3231	398	14	.	.	PUNCT
fis-3231	399	1	however	however	ADV
fis-3231	399	2	,	,	PUNCT
fis-3231	399	3	the	the	DET
fis-3231	399	4	analytical	analytical	ADJ
fis-3231	399	5	signal	signal	NOUN
fis-3231	399	6	appears	appear	VERB
fis-3231	399	7	smoother	smooth	ADJ
fis-3231	399	8	than	than	ADP
fis-3231	399	9	the	the	DET
fis-3231	399	10	numerical	numerical	ADJ
fis-3231	399	11	solution	solution	NOUN
fis-3231	399	12	,	,	PUNCT
fis-3231	399	13	fig	fig	NOUN
fis-3231	399	14	.	.	PUNCT
fis-3231	400	1	(	(	PUNCT
fis-3231	400	2	13b	13b	NUM
fis-3231	400	3	)	)	PUNCT
fis-3231	400	4	.	.	PUNCT
fis-3231	401	1	m.	m.	PROPN
fis-3231	401	2	utzeri	utzeri	PROPN
fis-3231	401	3	et	et	PROPN
fis-3231	401	4	alii	alii	PROPN
fis-3231	401	5	,	,	PUNCT
fis-3231	401	6	frattura	frattura	PROPN
fis-3231	401	7	ed	ed	PROPN
fis-3231	401	8	integrità	integrità	PROPN
fis-3231	401	9	strutturale	strutturale	PROPN
fis-3231	401	10	,	,	PUNCT
fis-3231	401	11	58	58	NUM
fis-3231	401	12	(	(	PUNCT
fis-3231	401	13	2021	2021	NUM
fis-3231	401	14	)	)	PUNCT
fis-3231	401	15	254	254	NUM
fis-3231	401	16	-	-	SYM
fis-3231	401	17	271	271	NUM
fis-3231	401	18	;	;	PUNCT
fis-3231	401	19	doi	doi	NOUN
fis-3231	401	20	:	:	PUNCT
fis-3231	401	21	10.3221	10.3221	NUM
fis-3231	401	22	/	/	SYM
fis-3231	401	23	igf	igf	PROPN
fis-3231	401	24	-	-	PUNCT
fis-3231	401	25	esis.58.19	esis.58.19	PROPN
fis-3231	401	26	269	269	NUM
fis-3231	401	27	figure	figure	NOUN
fis-3231	401	28	12	12	NUM
fis-3231	401	29	:	:	PUNCT
fis-3231	401	30	flexural	flexural	ADJ
fis-3231	401	31	waves	wave	NOUN
fis-3231	401	32	propagation	propagation	NOUN
fis-3231	401	33	in	in	ADP
fis-3231	401	34	early	early	ADJ
fis-3231	401	35	stages	stage	NOUN
fis-3231	401	36	of	of	ADP
fis-3231	401	37	impact	impact	NOUN
fis-3231	401	38	(	(	PUNCT
fis-3231	401	39	δ	δ	NOUN
fis-3231	401	40	0.00003	0.00003	NUM
fis-3231	401	41	 	 	SPACE
fis-3231	401	42	t	t	PROPN
fis-3231	401	43	s	s	PART
fis-3231	401	44	and	and	CCONJ
fis-3231	401	45	scale	scale	NOUN
fis-3231	401	46	factor	factor	NOUN
fis-3231	401	47	100	100	NUM
fis-3231	401	48	)	)	PUNCT
fis-3231	401	49	.	.	PUNCT
fis-3231	402	1	figure	figure	VERB
fis-3231	402	2	13	13	NUM
fis-3231	402	3	:	:	PUNCT
fis-3231	402	4	impact	impact	NOUN
fis-3231	402	5	of	of	ADP
fis-3231	402	6	a	a	DET
fis-3231	402	7	mass	mass	NOUN
fis-3231	402	8	with	with	ADP
fis-3231	402	9			NOUN
fis-3231	402	10			NOUN
fis-3231	402	11	0.5	0.5	NUM
fis-3231	402	12	at	at	ADP
fis-3231	402	13	the	the	DET
fis-3231	402	14	impact	impact	NOUN
fis-3231	402	15	distance	distance	NOUN
fis-3231	402	16			NUM
fis-3231	402	17			NUM
fis-3231	402	18	0.9	0.9	NUM
fis-3231	402	19	with	with	ADP
fis-3231	402	20	a	a	DET
fis-3231	402	21	initial	initial	ADJ
fis-3231	402	22	velocity	velocity	NOUN
fis-3231	402	23	0	0	NUM
fis-3231	402	24	5	5	NUM
fis-3231	402	25	m	m	NOUN
fis-3231	402	26	v	v	NOUN
fis-3231	402	27	s	s	NOUN
fis-3231	402	28	;	;	PUNCT
fis-3231	402	29	comparison	comparison	NOUN
fis-3231	402	30	of	of	ADP
fis-3231	402	31	fem	fem	NOUN
fis-3231	402	32	and	and	CCONJ
fis-3231	402	33	analytical	analytical	ADJ
fis-3231	402	34	results.(a	results.(a	X
fis-3231	402	35	)	)	PUNCT
fis-3231	402	36	deflection	deflection	NOUN
fis-3231	402	37	history	history	NOUN
fis-3231	402	38	.	.	PUNCT
fis-3231	403	1	(	(	PUNCT
fis-3231	403	2	b	b	X
fis-3231	403	3	)	)	PUNCT
fis-3231	403	4	velocity	velocity	NOUN
fis-3231	403	5	history	history	NOUN
fis-3231	403	6	conclusion	conclusion	NOUN
fis-3231	403	7	his	his	PRON
fis-3231	403	8	paper	paper	NOUN
fis-3231	403	9	investigated	investigate	VERB
fis-3231	403	10	the	the	DET
fis-3231	403	11	nonlinear	nonlinear	ADJ
fis-3231	403	12	impact	impact	NOUN
fis-3231	403	13	response	response	NOUN
fis-3231	403	14	in	in	ADP
fis-3231	403	15	large	large	ADJ
fis-3231	403	16	displacements	displacement	NOUN
fis-3231	403	17	of	of	ADP
fis-3231	403	18	a	a	DET
fis-3231	403	19	slender	slender	ADJ
fis-3231	403	20	cantilever	cantilever	NOUN
fis-3231	403	21	beam	beam	NOUN
fis-3231	403	22	which	which	PRON
fis-3231	403	23	undergoes	undergo	VERB
fis-3231	403	24	the	the	DET
fis-3231	403	25	impact	impact	NOUN
fis-3231	403	26	of	of	ADP
fis-3231	403	27	a	a	DET
fis-3231	403	28	projectile	projectile	NOUN
fis-3231	403	29	.	.	PUNCT
fis-3231	404	1	the	the	DET
fis-3231	404	2	spring	spring	NOUN
fis-3231	404	3	-	-	PUNCT
fis-3231	404	4	mass	mass	NOUN
fis-3231	404	5	approach	approach	NOUN
fis-3231	404	6	was	be	AUX
fis-3231	404	7	used	use	VERB
fis-3231	404	8	to	to	PART
fis-3231	404	9	describe	describe	VERB
fis-3231	404	10	the	the	DET
fis-3231	404	11	overall	overall	ADJ
fis-3231	404	12	response	response	NOUN
fis-3231	404	13	and	and	CCONJ
fis-3231	404	14	the	the	DET
fis-3231	404	15	indentation	indentation	NOUN
fis-3231	404	16	phenomenon	phenomenon	NOUN
fis-3231	404	17	was	be	AUX
fis-3231	404	18	neglected	neglect	VERB
fis-3231	404	19	because	because	SCONJ
fis-3231	404	20	the	the	DET
fis-3231	404	21	overall	overall	ADJ
fis-3231	404	22	deflection	deflection	NOUN
fis-3231	404	23	of	of	ADP
fis-3231	404	24	the	the	DET
fis-3231	404	25	beam	beam	NOUN
fis-3231	404	26	is	be	AUX
fis-3231	404	27	much	much	ADV
fis-3231	404	28	larger	large	ADJ
fis-3231	404	29	than	than	ADP
fis-3231	404	30	local	local	ADJ
fis-3231	404	31	.	.	PUNCT
fis-3231	405	1	the	the	DET
fis-3231	405	2	analysis	analysis	NOUN
fis-3231	405	3	compared	compare	VERB
fis-3231	405	4	the	the	DET
fis-3231	405	5	results	result	NOUN
fis-3231	405	6	coming	come	VERB
fis-3231	405	7	from	from	ADP
fis-3231	405	8	analytical	analytical	ADJ
fis-3231	405	9	approach	approach	NOUN
fis-3231	405	10	with	with	ADP
fis-3231	405	11	numerical	numerical	ADJ
fis-3231	405	12	model	model	NOUN
fis-3231	405	13	and	and	CCONJ
fis-3231	405	14	experimental	experimental	ADJ
fis-3231	405	15	observations	observation	NOUN
fis-3231	405	16	.	.	PUNCT
fis-3231	406	1	as	as	SCONJ
fis-3231	406	2	the	the	DET
fis-3231	406	3	nonlinear	nonlinear	ADJ
fis-3231	406	4	frequencies	frequency	NOUN
fis-3231	406	5	behaviour	behaviour	NOUN
fis-3231	406	6	is	be	AUX
fis-3231	406	7	function	function	NOUN
fis-3231	406	8	of	of	ADP
fis-3231	406	9	the	the	DET
fis-3231	406	10	amplitude	amplitude	NOUN
fis-3231	406	11	,	,	PUNCT
fis-3231	406	12	the	the	DET
fis-3231	406	13	impact	impact	NOUN
fis-3231	406	14	time	time	NOUN
fis-3231	406	15	is	be	AUX
fis-3231	406	16	affected	affect	VERB
fis-3231	406	17	by	by	ADP
fis-3231	406	18	the	the	DET
fis-3231	406	19	velocity	velocity	NOUN
fis-3231	406	20	impact	impact	NOUN
fis-3231	406	21	.	.	PUNCT
fis-3231	407	1	the	the	DET
fis-3231	407	2	hardening	harden	VERB
fis-3231	407	3	behaviour	behaviour	NOUN
fis-3231	407	4	of	of	ADP
fis-3231	407	5	the	the	DET
fis-3231	407	6	first	first	ADJ
fis-3231	407	7	frequency	frequency	NOUN
fis-3231	407	8	leads	lead	VERB
fis-3231	407	9	to	to	ADP
fis-3231	407	10	a	a	DET
fis-3231	407	11	decrease	decrease	NOUN
fis-3231	407	12	of	of	ADP
fis-3231	407	13	impact	impact	NOUN
fis-3231	407	14	time	time	NOUN
fis-3231	407	15	as	as	ADP
fis-3231	407	16	the	the	DET
fis-3231	407	17	velocity	velocity	NOUN
fis-3231	407	18	impact	impact	NOUN
fis-3231	407	19	increase	increase	NOUN
fis-3231	407	20	.	.	PUNCT
fis-3231	408	1	moreover	moreover	ADV
fis-3231	408	2	,	,	PUNCT
fis-3231	408	3	the	the	DET
fis-3231	408	4	hardening	harden	VERB
fis-3231	408	5	behaviour	behaviour	NOUN
fis-3231	408	6	leads	lead	VERB
fis-3231	408	7	to	to	ADP
fis-3231	408	8	an	an	DET
fis-3231	408	9	increase	increase	NOUN
fis-3231	408	10	of	of	ADP
fis-3231	408	11	impact	impact	NOUN
fis-3231	408	12	velocity	velocity	NOUN
fis-3231	408	13	to	to	PART
fis-3231	408	14	obtain	obtain	VERB
fis-3231	408	15	the	the	DET
fis-3231	408	16	same	same	ADJ
fis-3231	408	17	predicted	predict	VERB
fis-3231	408	18	amplitude	amplitude	NOUN
fis-3231	408	19	in	in	ADP
fis-3231	408	20	the	the	DET
fis-3231	408	21	linear	linear	PROPN
fis-3231	408	22	theory	theory	NOUN
fis-3231	408	23	.	.	PUNCT
fis-3231	409	1	the	the	DET
fis-3231	409	2	experimental	experimental	ADJ
fis-3231	409	3	tests	test	NOUN
fis-3231	409	4	confirm	confirm	VERB
fis-3231	409	5	the	the	DET
fis-3231	409	6	hardening	harden	VERB
fis-3231	409	7	behaviour	behaviour	NOUN
fis-3231	409	8	of	of	ADP
fis-3231	409	9	the	the	DET
fis-3231	409	10	first	first	ADJ
fis-3231	409	11	backbone	backbone	NOUN
fis-3231	409	12	curve	curve	NOUN
fis-3231	409	13	.	.	PUNCT
fis-3231	410	1	so	so	ADV
fis-3231	410	2	,	,	PUNCT
fis-3231	410	3	the	the	DET
fis-3231	410	4	analytical	analytical	ADJ
fis-3231	410	5	model	model	NOUN
fis-3231	410	6	was	be	AUX
fis-3231	410	7	validated	validate	VERB
fis-3231	410	8	by	by	ADP
fis-3231	410	9	the	the	DET
fis-3231	410	10	experimental	experimental	ADJ
fis-3231	410	11	findings	finding	NOUN
fis-3231	410	12	.	.	PUNCT
fis-3231	411	1	the	the	DET
fis-3231	411	2	numerical	numerical	ADJ
fis-3231	411	3	analysis	analysis	NOUN
fis-3231	411	4	also	also	ADV
fis-3231	411	5	confirm	confirm	VERB
fis-3231	411	6	the	the	DET
fis-3231	411	7	analytical	analytical	ADJ
fis-3231	411	8	outcomes	outcome	NOUN
fis-3231	411	9	.	.	PUNCT
fis-3231	412	1	consequently	consequently	ADV
fis-3231	412	2	,	,	PUNCT
fis-3231	412	3	the	the	DET
fis-3231	412	4	low	low	ADJ
fis-3231	412	5	-	-	PUNCT
fis-3231	412	6	velocity	velocity	NOUN
fis-3231	412	7	assumption	assumption	NOUN
fis-3231	412	8	to	to	PART
fis-3231	412	9	model	model	VERB
fis-3231	412	10	the	the	DET
fis-3231	412	11	impact	impact	NOUN
fis-3231	412	12	is	be	AUX
fis-3231	412	13	confirmed	confirm	VERB
fis-3231	412	14	also	also	ADV
fis-3231	412	15	in	in	ADP
fis-3231	412	16	continuous	continuous	ADJ
fis-3231	412	17	beam	beam	NOUN
fis-3231	412	18	hit	hit	VERB
fis-3231	412	19	by	by	ADP
fis-3231	412	20	a	a	DET
fis-3231	412	21	projectile	projectile	NOUN
fis-3231	412	22	.	.	PUNCT
fis-3231	413	1	references	reference	NOUN
fis-3231	413	2	[	[	X
fis-3231	413	3	1	1	NUM
fis-3231	413	4	]	]	X
fis-3231	413	5	beléndez	beléndez	PROPN
fis-3231	413	6	t.	t.	PROPN
fis-3231	413	7	,	,	PUNCT
fis-3231	413	8	neipp	neipp	PROPN
fis-3231	413	9	c.	c.	PROPN
fis-3231	413	10	,	,	PUNCT
fis-3231	413	11	beléndez	beléndez	PROPN
fis-3231	413	12	a.	a.	PROPN
fis-3231	413	13	,	,	PUNCT
fis-3231	413	14	2002	2002	NUM
fis-3231	413	15	.	.	PUNCT
fis-3231	414	1	large	large	ADJ
fis-3231	414	2	and	and	CCONJ
fis-3231	414	3	small	small	ADJ
fis-3231	414	4	deflections	deflection	NOUN
fis-3231	414	5	of	of	ADP
fis-3231	414	6	a	a	DET
fis-3231	414	7	cantilever	cantilever	NOUN
fis-3231	414	8	beam	beam	NOUN
fis-3231	414	9	.	.	PUNCT
fis-3231	415	1	european	european	PROPN
fis-3231	415	2	journal	journal	PROPN
fis-3231	415	3	of	of	ADP
fis-3231	415	4	physics	physics	PROPN
fis-3231	415	5	23	23	NUM
fis-3231	415	6	,	,	PUNCT
fis-3231	415	7	371	371	NUM
fis-3231	415	8	.	.	PUNCT
fis-3231	416	1	doi	doi	NOUN
fis-3231	416	2	:	:	PUNCT
fis-3231	416	3	10.1088/0143	10.1088/0143	NUM
fis-3231	416	4	-	-	PUNCT
fis-3231	416	5	0807/23/3/317	0807/23/3/317	NUM
fis-3231	416	6	.	.	PUNCT
fis-3231	417	1	t	t	PROPN
fis-3231	417	2	m.	m.	PROPN
fis-3231	417	3	utzeri	utzeri	PROPN
fis-3231	417	4	et	et	PROPN
fis-3231	417	5	alii	alii	PROPN
fis-3231	417	6	,	,	PUNCT
fis-3231	417	7	frattura	frattura	PROPN
fis-3231	417	8	ed	ed	PROPN
fis-3231	417	9	integrità	integrità	PROPN
fis-3231	417	10	strutturale	strutturale	PROPN
fis-3231	417	11	,	,	PUNCT
fis-3231	417	12	58	58	NUM
fis-3231	417	13	(	(	PUNCT
fis-3231	417	14	2021	2021	NUM
fis-3231	417	15	)	)	PUNCT
fis-3231	417	16	254	254	NUM
fis-3231	417	17	-	-	SYM
fis-3231	417	18	271	271	NUM
fis-3231	417	19	;	;	PUNCT
fis-3231	417	20	doi	doi	NOUN
fis-3231	417	21	:	:	PUNCT
fis-3231	417	22	10.3221	10.3221	NUM
fis-3231	417	23	/	/	SYM
fis-3231	417	24	igf	igf	PROPN
fis-3231	417	25	-	-	PUNCT
fis-3231	417	26	esis.58.19	esis.58.19	PROPN
fis-3231	417	27	270	270	NUM
fis-3231	418	1	[	[	X
fis-3231	418	2	2	2	X
fis-3231	418	3	]	]	X
fis-3231	418	4	zheng	zheng	PROPN
fis-3231	418	5	y.	y.	PROPN
fis-3231	418	6	,	,	PUNCT
fis-3231	418	7	shabana	shabana	PROPN
fis-3231	418	8	a.	a.	PROPN
fis-3231	418	9	a.	a.	PROPN
fis-3231	418	10	,	,	PUNCT
fis-3231	418	11	zhang	zhang	PROPN
fis-3231	418	12	d.	d.	PROPN
fis-3231	418	13	,	,	PUNCT
fis-3231	418	14	2018	2018	NUM
fis-3231	418	15	.	.	PUNCT
fis-3231	419	1	curvature	curvature	NOUN
fis-3231	419	2	expressions	expression	NOUN
fis-3231	419	3	for	for	ADP
fis-3231	419	4	the	the	DET
fis-3231	419	5	large	large	ADJ
fis-3231	419	6	displacement	displacement	ADJ
fis-3231	419	7	analysis	analysis	NOUN
fis-3231	419	8	of	of	ADP
fis-3231	419	9	planar	planar	ADJ
fis-3231	419	10	beam	beam	NOUN
fis-3231	419	11	motions	motion	NOUN
fis-3231	419	12	.	.	PUNCT
fis-3231	420	1	journal	journal	NOUN
fis-3231	420	2	of	of	ADP
fis-3231	420	3	computational	computational	ADJ
fis-3231	420	4	and	and	CCONJ
fis-3231	420	5	nonlinear	nonlinear	ADJ
fis-3231	420	6	dynamics	dynamic	NOUN
fis-3231	420	7	13	13	NUM
fis-3231	420	8	.	.	PUNCT
fis-3231	421	1	doi	doi	NOUN
fis-3231	421	2	:	:	PUNCT
fis-3231	421	3	10.1115/1.4037226	10.1115/1.4037226	NUM
fis-3231	421	4	.	.	PUNCT
fis-3231	422	1	[	[	X
fis-3231	422	2	3	3	NUM
fis-3231	422	3	]	]	SYM
fis-3231	422	4	abrate	abrate	ADJ
fis-3231	422	5	,	,	PUNCT
fis-3231	422	6	s.	s.	PROPN
fis-3231	422	7	,	,	PUNCT
fis-3231	422	8	1998	1998	NUM
fis-3231	422	9	.	.	PUNCT
fis-3231	423	1	low	low	ADJ
fis-3231	423	2	-	-	PUNCT
fis-3231	423	3	velocity	velocity	NOUN
fis-3231	423	4	impact	impact	NOUN
fis-3231	423	5	damage	damage	NOUN
fis-3231	423	6	,	,	PUNCT
fis-3231	423	7	in	in	ADP
fis-3231	423	8	:	:	PUNCT
fis-3231	423	9	impact	impact	NOUN
fis-3231	423	10	on	on	ADP
fis-3231	423	11	composite	composite	ADJ
fis-3231	423	12	structures	structure	NOUN
fis-3231	423	13	.	.	PUNCT
fis-3231	424	1	cambridge	cambridge	PROPN
fis-3231	424	2	university	university	PROPN
fis-3231	424	3	press	press	NOUN
fis-3231	424	4	,	,	PUNCT
fis-3231	424	5	pp	pp	ADJ
fis-3231	424	6	.	.	PUNCT
fis-3231	425	1	135–160	135–160	NUM
fis-3231	425	2	.	.	PUNCT
fis-3231	426	1	doi	doi	NOUN
fis-3231	426	2	:	:	PUNCT
fis-3231	426	3	10.1017	10.1017	NUM
fis-3231	426	4	/	/	SYM
fis-3231	426	5	cbo9780511574504.005	cbo9780511574504.005	NOUN
fis-3231	426	6	.	.	PUNCT
fis-3231	427	1	[	[	X
fis-3231	427	2	4	4	NUM
fis-3231	427	3	]	]	SYM
fis-3231	427	4	abrate	abrate	ADJ
fis-3231	427	5	,	,	PUNCT
fis-3231	427	6	s.	s.	PROPN
fis-3231	427	7	,	,	PUNCT
fis-3231	427	8	2001	2001	NUM
fis-3231	427	9	.	.	PUNCT
fis-3231	428	1	modeling	modeling	NOUN
fis-3231	428	2	of	of	ADP
fis-3231	428	3	impacts	impact	NOUN
fis-3231	428	4	on	on	ADP
fis-3231	428	5	composite	composite	ADJ
fis-3231	428	6	structures	structure	NOUN
fis-3231	428	7	.	.	PUNCT
fis-3231	429	1	composite	composite	ADJ
fis-3231	429	2	structures	structure	NOUN
fis-3231	429	3	51	51	NUM
fis-3231	429	4	,	,	PUNCT
fis-3231	429	5	129–138	129–138	NUM
fis-3231	429	6	.	.	PUNCT
fis-3231	430	1	doi	doi	NOUN
fis-3231	430	2	:	:	PUNCT
fis-3231	430	3	10.1016	10.1016	NUM
fis-3231	430	4	/	/	SYM
fis-3231	430	5	s0263	s0263	NOUN
fis-3231	430	6	-	-	PUNCT
fis-3231	430	7	8223(00)00138	8223(00)00138	NOUN
fis-3231	430	8	-	-	PUNCT
fis-3231	430	9	0	0	NUM
fis-3231	430	10	.	.	PUNCT
fis-3231	431	1	[	[	X
fis-3231	431	2	5	5	NUM
fis-3231	431	3	]	]	SYM
fis-3231	431	4	abrate	abrate	ADJ
fis-3231	431	5	,	,	PUNCT
fis-3231	431	6	s.	s.	PROPN
fis-3231	431	7	,	,	PUNCT
fis-3231	431	8	2011	2011	NUM
fis-3231	431	9	.	.	PUNCT
fis-3231	432	1	impact	impact	NOUN
fis-3231	432	2	engineering	engineering	NOUN
fis-3231	432	3	of	of	ADP
fis-3231	432	4	composite	composite	ADJ
fis-3231	432	5	structures	structure	NOUN
fis-3231	432	6	.	.	PUNCT
fis-3231	433	1	springer	springer	NOUN
fis-3231	433	2	vienna	vienna	PROPN
fis-3231	433	3	.	.	PUNCT
fis-3231	434	1	doi	doi	NOUN
fis-3231	434	2	:	:	PUNCT
fis-3231	434	3	10.1007/978	10.1007/978	NUM
fis-3231	434	4	-	-	SYM
fis-3231	434	5	3	3	NUM
fis-3231	434	6	-	-	PUNCT
fis-3231	434	7	7091	7091	NUM
fis-3231	434	8	-	-	PUNCT
fis-3231	434	9	0523	0523	NUM
fis-3231	434	10	-	-	SYM
fis-3231	434	11	8	8	NUM
fis-3231	434	12	.	.	PUNCT
fis-3231	434	13	  	  	SPACE
fis-3231	435	1	[	[	X
fis-3231	435	2	6	6	NUM
fis-3231	435	3	]	]	PUNCT
fis-3231	435	4	anderson	anderson	PROPN
fis-3231	435	5	t.	t.	PROPN
fis-3231	435	6	j.	j.	PROPN
fis-3231	435	7	,	,	PUNCT
fis-3231	435	8	nayfeh	nayfeh	PROPN
fis-3231	435	9	a.	a.	PROPN
fis-3231	435	10	h.	h.	PROPN
fis-3231	435	11	,	,	PUNCT
fis-3231	435	12	balachandran	balachandran	PROPN
fis-3231	435	13	b.	b.	PROPN
fis-3231	435	14	,	,	PUNCT
fis-3231	435	15	1996	1996	NUM
fis-3231	435	16	.	.	PUNCT
fis-3231	436	1	experimental	experimental	ADJ
fis-3231	436	2	verification	verification	NOUN
fis-3231	436	3	of	of	ADP
fis-3231	436	4	the	the	DET
fis-3231	436	5	importance	importance	NOUN
fis-3231	436	6	of	of	ADP
fis-3231	436	7	the	the	DET
fis-3231	436	8	nonlinear	nonlinear	ADJ
fis-3231	436	9	curvature	curvature	NOUN
fis-3231	436	10	in	in	ADP
fis-3231	436	11	the	the	DET
fis-3231	436	12	response	response	NOUN
fis-3231	436	13	of	of	ADP
fis-3231	436	14	a	a	DET
fis-3231	436	15	cantilever	cantilever	NOUN
fis-3231	436	16	beam	beam	NOUN
fis-3231	436	17	.	.	PUNCT
fis-3231	437	1	journal	journal	NOUN
fis-3231	437	2	of	of	ADP
fis-3231	437	3	vibration	vibration	NOUN
fis-3231	437	4	and	and	CCONJ
fis-3231	437	5	acoustics	acoustic	NOUN
fis-3231	437	6	118	118	NUM
fis-3231	437	7	,	,	PUNCT
fis-3231	437	8	21–27	21–27	NUM
fis-3231	437	9	.	.	PUNCT
fis-3231	438	1	doi	doi	NOUN
fis-3231	438	2	:	:	PUNCT
fis-3231	438	3	10.1115/1.2889630	10.1115/1.2889630	NUM
fis-3231	438	4	.	.	PUNCT
fis-3231	438	5	  	  	SPACE
fis-3231	439	1	[	[	X
fis-3231	439	2	7	7	X
fis-3231	439	3	]	]	X
fis-3231	439	4	awrejcewwicz	awrejcewwicz	PROPN
fis-3231	439	5	j.	j.	PROPN
fis-3231	439	6	,	,	PUNCT
fis-3231	439	7	kryosko	kryosko	PROPN
fis-3231	439	8	a.	a.	PROPN
fis-3231	439	9	v.	v.	PROPN
fis-3231	439	10	,	,	PUNCT
fis-3231	439	11	soldatov	soldatov	PROPN
fis-3231	439	12	v.	v.	PROPN
fis-3231	439	13	,	,	PUNCT
fis-3231	439	14	2012	2012	NUM
fis-3231	439	15	.	.	PUNCT
fis-3231	440	1	analysis	analysis	NOUN
fis-3231	440	2	of	of	ADP
fis-3231	440	3	the	the	DET
fis-3231	440	4	nonlinear	nonlinear	ADJ
fis-3231	440	5	dynamics	dynamic	NOUN
fis-3231	440	6	of	of	ADP
fis-3231	440	7	the	the	DET
fis-3231	440	8	timoshenko	timoshenko	ADJ
fis-3231	440	9	flexible	flexible	ADJ
fis-3231	440	10	beams	beam	NOUN
fis-3231	440	11	using	use	VERB
fis-3231	440	12	wavelets	wavelet	NOUN
fis-3231	440	13	.	.	PUNCT
fis-3231	441	1	journal	journal	NOUN
fis-3231	441	2	of	of	ADP
fis-3231	441	3	computational	computational	ADJ
fis-3231	441	4	and	and	CCONJ
fis-3231	441	5	nonlinear	nonlinear	ADJ
fis-3231	441	6	dynamics	dynamic	NOUN
fis-3231	441	7	7	7	NUM
fis-3231	441	8	.	.	PUNCT
fis-3231	441	9	doi	doi	NOUN
fis-3231	441	10	:	:	PUNCT
fis-3231	441	11	10.1115/1.4004376	10.1115/1.4004376	NUM
fis-3231	441	12	.	.	PUNCT
fis-3231	441	13	  	  	SPACE
fis-3231	442	1	[	[	X
fis-3231	442	2	8	8	NUM
fis-3231	442	3	]	]	X
fis-3231	442	4	babilio	babilio	PROPN
fis-3231	442	5	e.	e.	PROPN
fis-3231	442	6	,	,	PUNCT
fis-3231	442	7	lenci	lenci	PROPN
fis-3231	442	8	s.	s.	PROPN
fis-3231	442	9	,	,	PUNCT
fis-3231	442	10	2017	2017	NUM
fis-3231	442	11	.	.	PUNCT
fis-3231	443	1	on	on	ADP
fis-3231	443	2	the	the	DET
fis-3231	443	3	notion	notion	NOUN
fis-3231	443	4	of	of	ADP
fis-3231	443	5	curvature	curvature	NOUN
fis-3231	443	6	and	and	CCONJ
fis-3231	443	7	its	its	PRON
fis-3231	443	8	mechanical	mechanical	ADJ
fis-3231	443	9	meaning	meaning	NOUN
fis-3231	443	10	in	in	ADP
fis-3231	443	11	a	a	DET
fis-3231	443	12	geometrically	geometrically	ADV
fis-3231	443	13	exact	exact	ADJ
fis-3231	443	14	plane	plane	NOUN
fis-3231	443	15	beam	beam	NOUN
fis-3231	443	16	theory	theory	NOUN
fis-3231	443	17	.	.	PUNCT
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fis-3231	444	2	journal	journal	PROPN
fis-3231	444	3	of	of	ADP
fis-3231	444	4	mechanical	mechanical	ADJ
fis-3231	444	5	science	science	NOUN
fis-3231	444	6	128	128	NUM
fis-3231	444	7	-	-	SYM
fis-3231	444	8	129	129	NUM
fis-3231	444	9	,	,	PUNCT
fis-3231	444	10	277–293	277–293	NUM
fis-3231	444	11	.	.	PUNCT
fis-3231	445	1	doi	doi	NOUN
fis-3231	445	2	:	:	PUNCT
fis-3231	445	3	10.1016	10.1016	NUM
fis-3231	445	4	/	/	SYM
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fis-3231	445	6	.	.	PUNCT
fis-3231	445	7	  	  	SPACE
fis-3231	446	1	[	[	X
fis-3231	446	2	9	9	NUM
fis-3231	446	3	]	]	PUNCT
fis-3231	446	4	crespo	crespo	PROPN
fis-3231	446	5	da	da	PROPN
fis-3231	446	6	silva	silva	PROPN
fis-3231	446	7	m.	m.	PROPN
fis-3231	446	8	r.	r.	PROPN
fis-3231	446	9	m.	m.	PROPN
fis-3231	446	10	,	,	PUNCT
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fis-3231	446	12	c.	c.	PROPN
fis-3231	446	13	c.	c.	PROPN
fis-3231	446	14	,	,	PUNCT
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fis-3231	446	16	.	.	PUNCT
fis-3231	447	1	nonlinear	nonlinear	ADJ
fis-3231	447	2	flexural	flexural	ADJ
fis-3231	447	3	-	-	PUNCT
fis-3231	447	4	torsional	torsional	ADJ
fis-3231	447	5	dynamics	dynamic	NOUN
fis-3231	447	6	of	of	ADP
fis-3231	447	7	inextensional	inextensional	ADJ
fis-3231	447	8	beams	beam	NOUN
fis-3231	447	9	ii	ii	PROPN
fis-3231	447	10	.	.	PUNCT
fis-3231	448	1	forced	force	VERB
fis-3231	448	2	motions	motion	NOUN
fis-3231	448	3	.	.	PUNCT
fis-3231	449	1	journal	journal	NOUN
fis-3231	449	2	of	of	ADP
fis-3231	449	3	structural	structural	ADJ
fis-3231	449	4	mechanics	mechanic	NOUN
fis-3231	449	5	6	6	NUM
fis-3231	449	6	,	,	PUNCT
fis-3231	449	7	449–461	449–461	NUM
fis-3231	449	8	.	.	PUNCT
fis-3231	450	1	doi	doi	NOUN
fis-3231	450	2	:	:	PUNCT
fis-3231	450	3	10.1080/03601217808907349	10.1080/03601217808907349	NUM
fis-3231	450	4	.	.	PUNCT
fis-3231	450	5	  	  	SPACE
fis-3231	451	1	[	[	X
fis-3231	451	2	10	10	NUM
fis-3231	451	3	]	]	X
fis-3231	451	4	eisley	eisley	PROPN
fis-3231	451	5	j.	j.	PROPN
fis-3231	451	6	g.	g.	PROPN
fis-3231	451	7	,	,	PUNCT
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fis-3231	451	9	.	.	PUNCT
fis-3231	452	1	nonlinear	nonlinear	ADJ
fis-3231	452	2	deformation	deformation	NOUN
fis-3231	452	3	of	of	ADP
fis-3231	452	4	elastic	elastic	ADJ
fis-3231	452	5	beams	beam	NOUN
fis-3231	452	6	,	,	PUNCT
fis-3231	452	7	rings	ring	NOUN
fis-3231	452	8	and	and	CCONJ
fis-3231	452	9	strings	string	NOUN
fis-3231	452	10	.	.	PUNCT
fis-3231	453	1	wear	wear	VERB
fis-3231	453	2	7	7	NUM
fis-3231	453	3	,	,	PUNCT
fis-3231	453	4	225–312	225–312	NUM
fis-3231	453	5	.	.	PUNCT
fis-3231	454	1	doi	doi	NOUN
fis-3231	454	2	:	:	PUNCT
fis-3231	454	3	10.1016/00431648(64)90095	10.1016/00431648(64)90095	NUM
fis-3231	454	4	-	-	PUNCT
fis-3231	454	5	x.	x.	NOUN
fis-3231	455	1	[	[	X
fis-3231	455	2	11	11	NUM
fis-3231	455	3	]	]	X
fis-3231	455	4	goel	goel	PROPN
fis-3231	455	5	,	,	PUNCT
fis-3231	455	6	r.p	r.p	PROPN
fis-3231	455	7	.	.	PROPN
fis-3231	455	8	,	,	PUNCT
fis-3231	455	9	1973	1973	NUM
fis-3231	455	10	.	.	PUNCT
fis-3231	456	1	vibrations	vibration	NOUN
fis-3231	456	2	of	of	ADP
fis-3231	456	3	a	a	DET
fis-3231	456	4	beam	beam	NOUN
fis-3231	456	5	carrying	carry	VERB
fis-3231	456	6	a	a	DET
fis-3231	456	7	concentrated	concentrated	ADJ
fis-3231	456	8	mass	mass	NOUN
fis-3231	456	9	.	.	PUNCT
fis-3231	457	1	journal	journal	PROPN
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fis-3231	457	5	40	40	NUM
fis-3231	457	6	,	,	PUNCT
fis-3231	457	7	821–822	821–822	NUM
fis-3231	457	8	.	.	PUNCT
fis-3231	458	1	doi	doi	NOUN
fis-3231	458	2	:	:	PUNCT
fis-3231	458	3	10.1115/1.3423102	10.1115/1.3423102	NUM
fis-3231	458	4	.	.	PUNCT
fis-3231	458	5	  	  	SPACE
fis-3231	459	1	[	[	X
fis-3231	459	2	12	12	NUM
fis-3231	459	3	]	]	X
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fis-3231	459	5	,	,	PUNCT
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fis-3231	459	7	,	,	PUNCT
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fis-3231	459	9	.	.	PUNCT
fis-3231	460	1	wave	wave	NOUN
fis-3231	460	2	motion	motion	NOUN
fis-3231	460	3	in	in	ADP
fis-3231	460	4	elastic	elastic	ADJ
fis-3231	460	5	solids	solid	NOUN
fis-3231	460	6	.	.	PUNCT
fis-3231	461	1	dover	dover	PROPN
fis-3231	461	2	publications	publication	NOUN
fis-3231	461	3	,	,	PUNCT
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fis-3231	461	6	.	.	PUNCT
fis-3231	461	7	  	  	SPACE
fis-3231	462	1	[	[	X
fis-3231	462	2	13	13	NUM
fis-3231	462	3	]	]	X
fis-3231	462	4	hamdan	hamdan	PROPN
fis-3231	462	5	m.	m.	PROPN
fis-3231	462	6	n.	n.	PROPN
fis-3231	462	7	,	,	PUNCT
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fis-3231	462	9	m.	m.	PROPN
fis-3231	462	10	h.	h.	PROPN
fis-3231	462	11	f.	f.	PROPN
fis-3231	462	12	,	,	PUNCT
fis-3231	462	13	1997	1997	NUM
fis-3231	462	14	.	.	PUNCT
fis-3231	463	1	large	large	ADJ
fis-3231	463	2	amplitude	amplitude	NOUN
fis-3231	463	3	free	free	ADJ
fis-3231	463	4	vibrations	vibration	NOUN
fis-3231	463	5	of	of	ADP
fis-3231	463	6	a	a	DET
fis-3231	463	7	uniform	uniform	ADJ
fis-3231	463	8	cantilever	cantilever	NOUN
fis-3231	463	9	beam	beam	NOUN
fis-3231	463	10	carrying	carry	VERB
fis-3231	463	11	an	an	DET
fis-3231	463	12	intermediate	intermediate	ADJ
fis-3231	463	13	lumped	lump	VERB
fis-3231	463	14	mass	mass	ADJ
fis-3231	463	15	and	and	CCONJ
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fis-3231	463	17	inertia	inertia	NOUN
fis-3231	463	18	.	.	PUNCT
fis-3231	464	1	journal	journal	NOUN
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fis-3231	464	5	vibration	vibration	NOUN
fis-3231	464	6	206	206	NUM
fis-3231	464	7	,	,	PUNCT
fis-3231	464	8	151–168	151–168	NUM
fis-3231	464	9	.	.	PUNCT
fis-3231	465	1	doi	doi	NOUN
fis-3231	465	2	:	:	PUNCT
fis-3231	465	3	10.1006	10.1006	NUM
fis-3231	465	4	/	/	SYM
fis-3231	465	5	jsvi.1997.1081	jsvi.1997.1081	NOUN
fis-3231	465	6	.	.	PUNCT
fis-3231	465	7	  	  	SPACE
fis-3231	466	1	[	[	X
fis-3231	466	2	14	14	NUM
fis-3231	466	3	]	]	X
fis-3231	466	4	hinnant	hinnant	PROPN
fis-3231	466	5	h.	h.	PROPN
fis-3231	466	6	e.	e.	PROPN
fis-3231	466	7	,	,	PUNCT
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fis-3231	466	9	d.	d.	PROPN
fis-3231	466	10	h.	h.	PROPN
fis-3231	466	11	,	,	PUNCT
fis-3231	466	12	1988	1988	NUM
fis-3231	466	13	.	.	PUNCT
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fis-3231	467	2	analysis	analysis	NOUN
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fis-3231	467	4	a	a	DET
fis-3231	467	5	cantilever	cantilever	NOUN
fis-3231	467	6	beam	beam	NOUN
fis-3231	467	7	.	.	PUNCT
fis-3231	468	1	aiaa	aiaa	PROPN
fis-3231	468	2	journal	journal	PROPN
fis-3231	468	3	26	26	NUM
fis-3231	468	4	,	,	PUNCT
fis-3231	468	5	1521–1537	1521–1537	NUM
fis-3231	468	6	.	.	PUNCT
fis-3231	469	1	doi	doi	NOUN
fis-3231	469	2	:	:	PUNCT
fis-3231	469	3	10.2514/3.10072	10.2514/3.10072	NUM
fis-3231	469	4	.	.	PUNCT
fis-3231	469	5	  	  	SPACE
fis-3231	470	1	[	[	X
fis-3231	470	2	15	15	NUM
fis-3231	470	3	]	]	X
fis-3231	470	4	leissa	leissa	ADJ
fis-3231	470	5	,	,	PUNCT
fis-3231	470	6	a.	a.	NOUN
fis-3231	470	7	,	,	PUNCT
fis-3231	470	8	sonalla	sonalla	NOUN
fis-3231	470	9	,	,	PUNCT
fis-3231	470	10	m.	m.	NOUN
fis-3231	470	11	,	,	PUNCT
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fis-3231	470	13	.	.	PUNCT
fis-3231	471	1	vibrations	vibration	NOUN
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fis-3231	471	3	cantilever	cantilever	NOUN
fis-3231	471	4	beams	beam	NOUN
fis-3231	471	5	with	with	ADP
fis-3231	471	6	various	various	ADJ
fis-3231	471	7	initial	initial	ADJ
fis-3231	471	8	conditions	condition	NOUN
fis-3231	471	9	.	.	PUNCT
fis-3231	472	1	journal	journal	NOUN
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fis-3231	472	5	vibration	vibration	NOUN
fis-3231	472	6	150	150	NUM
fis-3231	472	7	,	,	PUNCT
fis-3231	472	8	83–99	83–99	NUM
fis-3231	472	9	.	.	PUNCT
fis-3231	473	1	doi	doi	NOUN
fis-3231	473	2	:	:	PUNCT
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fis-3231	473	4	.	.	PUNCT
fis-3231	473	5	  	  	SPACE
fis-3231	474	1	[	[	X
fis-3231	474	2	16	16	NUM
fis-3231	474	3	]	]	X
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fis-3231	474	5	,	,	PUNCT
fis-3231	474	6	s.	s.	PROPN
fis-3231	474	7	,	,	PUNCT
fis-3231	474	8	clementi	clementi	PROPN
fis-3231	474	9	,	,	PUNCT
fis-3231	474	10	f.	f.	PROPN
fis-3231	474	11	,	,	PUNCT
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fis-3231	474	13	.	.	PUNCT
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fis-3231	475	6	beams	beam	NOUN
fis-3231	475	7	on	on	ADP
fis-3231	475	8	a	a	DET
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fis-3231	475	10	elastic	elastic	ADJ
fis-3231	475	11	foundation	foundation	NOUN
fis-3231	475	12	.	.	PUNCT
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fis-3231	476	4	,	,	PUNCT
fis-3231	476	5	721–735	721–735	NUM
fis-3231	476	6	.	.	PUNCT
fis-3231	477	1	doi	doi	NOUN
fis-3231	477	2	:	:	PUNCT
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fis-3231	477	4	/	/	SYM
fis-3231	477	5	s11071	s11071	PROPN
fis-3231	477	6	-	-	PUNCT
fis-3231	477	7	019	019	NUM
fis-3231	477	8	-	-	PUNCT
fis-3231	477	9	04944	04944	NUM
fis-3231	477	10	-	-	PUNCT
fis-3231	477	11	4	4	NUM
fis-3231	477	12	.	.	PUNCT
fis-3231	477	13	  	  	SPACE
fis-3231	478	1	[	[	X
fis-3231	478	2	17	17	NUM
fis-3231	478	3	]	]	X
fis-3231	478	4	lenci	lenci	PROPN
fis-3231	478	5	s.	s.	PROPN
fis-3231	478	6	,	,	PUNCT
fis-3231	478	7	clementi	clementi	PROPN
fis-3231	478	8	f.	f.	PROPN
fis-3231	478	9	,	,	PUNCT
fis-3231	478	10	rega	rega	PROPN
fis-3231	478	11	g.	g.	PROPN
fis-3231	478	12	,	,	PUNCT
fis-3231	478	13	2016	2016	NUM
fis-3231	478	14	.	.	PUNCT
fis-3231	479	1	a	a	DET
fis-3231	479	2	comprehensive	comprehensive	ADJ
fis-3231	479	3	analysis	analysis	NOUN
fis-3231	479	4	of	of	ADP
fis-3231	479	5	hardening	harden	VERB
fis-3231	479	6	/	/	SYM
fis-3231	479	7	softening	soften	VERB
fis-3231	479	8	behavior	behavior	NOUN
fis-3231	479	9	of	of	ADP
fis-3231	479	10	shearable	shearable	ADJ
fis-3231	479	11	planar	planar	ADJ
fis-3231	479	12	beams	beam	NOUN
fis-3231	479	13	with	with	ADP
fis-3231	479	14	whatever	whatever	DET
fis-3231	479	15	axial	axial	ADJ
fis-3231	479	16	boundary	boundary	ADJ
fis-3231	479	17	constraint	constraint	NOUN
fis-3231	479	18	.	.	PUNCT
fis-3231	480	1	meccanica	meccanica	PROPN
fis-3231	480	2	51	51	NUM
fis-3231	480	3	,	,	PUNCT
fis-3231	480	4	2589–2606	2589–2606	NUM
fis-3231	480	5	.	.	PUNCT
fis-3231	481	1	doi	doi	NOUN
fis-3231	481	2	:	:	PUNCT
fis-3231	481	3	doi.org/10.1007/s11012-016-0614-9	doi.org/10.1007/s11012-016-0614-9	PROPN
fis-3231	481	4	.	.	PUNCT
fis-3231	481	5	  	  	SPACE
fis-3231	482	1	[	[	X
fis-3231	482	2	18	18	NUM
fis-3231	482	3	]	]	X
fis-3231	482	4	lenci	lenci	PROPN
fis-3231	482	5	s.	s.	PROPN
fis-3231	482	6	,	,	PUNCT
fis-3231	482	7	consolini	consolini	PROPN
fis-3231	482	8	l.	l.	PROPN
fis-3231	482	9	,	,	PUNCT
fis-3231	482	10	clementi	clementi	PROPN
fis-3231	482	11	f.	f.	PROPN
fis-3231	482	12	,	,	PUNCT
fis-3231	482	13	2017a	2017a	NUM
fis-3231	482	14	.	.	PUNCT
fis-3231	483	1	the	the	DET
fis-3231	483	2	use	use	NOUN
fis-3231	483	3	of	of	ADP
fis-3231	483	4	the	the	DET
fis-3231	483	5	fitting	fitting	ADJ
fis-3231	483	6	time	time	NOUN
fis-3231	483	7	histories	history	NOUN
fis-3231	483	8	method	method	VERB
fis-3231	483	9	to	to	PART
fis-3231	483	10	detect	detect	VERB
fis-3231	483	11	the	the	DET
fis-3231	483	12	nonlinear	nonlinear	ADJ
fis-3231	483	13	behaviour	behaviour	NOUN
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fis-3231	483	15	laminated	laminated	ADJ
fis-3231	483	16	glass	glass	NOUN
fis-3231	483	17	.	.	PUNCT
fis-3231	484	1	journal	journal	NOUN
fis-3231	484	2	of	of	ADP
fis-3231	484	3	vibration	vibration	NOUN
fis-3231	484	4	testing	testing	NOUN
fis-3231	484	5	and	and	CCONJ
fis-3231	484	6	system	system	NOUN
fis-3231	484	7	dynamics	dynamic	NOUN
fis-3231	484	8	1	1	NUM
fis-3231	484	9	,	,	PUNCT
fis-3231	484	10	1–14	1–14	PROPN
fis-3231	484	11	.	.	PUNCT
fis-3231	484	12	doi	doi	PROPN
fis-3231	484	13	:	:	PUNCT
fis-3231	484	14	10.5890	10.5890	NUM
fis-3231	484	15	/	/	SYM
fis-3231	484	16	jvtsd.2017.03.001	jvtsd.2017.03.001	NOUN
fis-3231	484	17	.	.	PUNCT
fis-3231	484	18	  	  	SPACE
fis-3231	485	1	[	[	X
fis-3231	485	2	19	19	NUM
fis-3231	485	3	]	]	X
fis-3231	485	4	lenci	lenci	PROPN
fis-3231	485	5	s.	s.	PROPN
fis-3231	485	6	,	,	PUNCT
fis-3231	485	7	consolini	consolini	PROPN
fis-3231	485	8	l.	l.	PROPN
fis-3231	485	9	,	,	PUNCT
fis-3231	485	10	clementi	clementi	PROPN
fis-3231	485	11	f.	f.	PROPN
fis-3231	485	12	,	,	PUNCT
fis-3231	485	13	cocchi	cocchi	PROPN
fis-3231	485	14	g.	g.	PROPN
fis-3231	485	15	,	,	PUNCT
fis-3231	485	16	2017b	2017b	NUM
fis-3231	485	17	.	.	PUNCT
fis-3231	486	1	revealing	reveal	VERB
fis-3231	486	2	nonlinear	nonlinear	ADJ
fis-3231	486	3	dynamical	dynamical	ADJ
fis-3231	486	4	behaviour	behaviour	NOUN
fis-3231	486	5	of	of	ADP
fis-3231	486	6	laminated	laminated	ADJ
fis-3231	486	7	glass	glass	NOUN
fis-3231	486	8	.	.	PUNCT
fis-3231	487	1	procedia	procedia	PROPN
fis-3231	487	2	engineering	engineering	PROPN
fis-3231	487	3	199	199	NUM
fis-3231	487	4	,	,	PUNCT
fis-3231	487	5	1454–1459	1454–1459	NUM
fis-3231	487	6	.	.	PUNCT
fis-3231	488	1	doi	doi	NOUN
fis-3231	488	2	:	:	PUNCT
fis-3231	488	3	10.1016	10.1016	NUM
fis-3231	488	4	/	/	SYM
fis-3231	488	5	j.proeng.2017.09.394	j.proeng.2017.09.394	PROPN
fis-3231	488	6	.	.	PROPN
fis-3231	488	7	  	  	SPACE
fis-3231	489	1	[	[	X
fis-3231	489	2	20	20	NUM
fis-3231	489	3	]	]	PUNCT
fis-3231	489	4	navaee	navaee	PROPN
fis-3231	489	5	s.	s.	PROPN
fis-3231	489	6	,	,	PUNCT
fis-3231	489	7	elling	elling	PROPN
fis-3231	489	8	r.	r.	PROPN
fis-3231	489	9	e.	e.	PROPN
fis-3231	489	10	,	,	PUNCT
fis-3231	489	11	1991	1991	NUM
fis-3231	489	12	.	.	PUNCT
fis-3231	490	1	large	large	ADJ
fis-3231	490	2	deflections	deflection	NOUN
fis-3231	490	3	of	of	ADP
fis-3231	490	4	cantilever	cantilever	NOUN
fis-3231	490	5	beams	beam	NOUN
fis-3231	490	6	.	.	PUNCT
fis-3231	491	1	transactions	transaction	NOUN
fis-3231	491	2	of	of	ADP
fis-3231	491	3	the	the	DET
fis-3231	491	4	canadian	canadian	ADJ
fis-3231	491	5	society	society	NOUN
fis-3231	491	6	for	for	ADP
fis-3231	491	7	mechanical	mechanical	ADJ
fis-3231	491	8	engineering	engineering	NOUN
fis-3231	491	9	15	15	NUM
fis-3231	491	10	,	,	PUNCT
fis-3231	491	11	91–107	91–107	NUM
fis-3231	491	12	.	.	PUNCT
fis-3231	492	1	doi	doi	NOUN
fis-3231	492	2	:	:	PUNCT
fis-3231	492	3	10.1139	10.1139	NUM
fis-3231	492	4	/	/	SYM
fis-3231	492	5	tcsme-1991	tcsme-1991	NOUN
fis-3231	492	6	-	-	PUNCT
fis-3231	492	7	0005	0005	NUM
fis-3231	492	8	.	.	PUNCT
fis-3231	492	9	  	  	SPACE
fis-3231	493	1	[	[	X
fis-3231	493	2	21	21	NUM
fis-3231	493	3	]	]	X
fis-3231	493	4	nayfeh	nayfeh	PROPN
fis-3231	493	5	a.	a.	PROPN
fis-3231	493	6	h.	h.	PROPN
fis-3231	493	7	,	,	PUNCT
fis-3231	493	8	2000	2000	NUM
fis-3231	493	9	.	.	PUNCT
fis-3231	494	1	perturbation	perturbation	NOUN
fis-3231	494	2	methods	method	NOUN
fis-3231	494	3	.	.	PUNCT
fis-3231	495	1	john	john	PROPN
fis-3231	495	2	wiley	wiley	PROPN
fis-3231	495	3	&	&	CCONJ
fis-3231	495	4	sons	son	NOUN
fis-3231	495	5	.	.	PUNCT
fis-3231	495	6	  	  	SPACE
fis-3231	496	1	[	[	X
fis-3231	496	2	22	22	NUM
fis-3231	496	3	]	]	X
fis-3231	496	4	schwalbe	schwalbe	PROPN
fis-3231	496	5	d.	d.	PROPN
fis-3231	496	6	,	,	PUNCT
fis-3231	496	7	wagon	wagon	PROPN
fis-3231	496	8	s.	s.	PROPN
fis-3231	496	9	,	,	PUNCT
fis-3231	496	10	1997	1997	NUM
fis-3231	496	11	.	.	PUNCT
fis-3231	497	1	the	the	DET
fis-3231	497	2	duffing	duffing	NOUN
fis-3231	497	3	equation	equation	NOUN
fis-3231	497	4	.	.	PUNCT
fis-3231	498	1	john	john	PROPN
fis-3231	498	2	wiley	wiley	PROPN
fis-3231	498	3	&	&	CCONJ
fis-3231	498	4	sons	son	NOUN
fis-3231	498	5	.	.	PUNCT
fis-3231	498	6	  	  	SPACE
fis-3231	499	1	[	[	X
fis-3231	499	2	23	23	NUM
fis-3231	499	3	]	]	X
fis-3231	499	4	hamdan	hamdan	PROPN
fis-3231	499	5	m.	m.	PROPN
fis-3231	499	6	n.and	n.and	PROPN
fis-3231	499	7	shabaneh	shabaneh	ADV
fis-3231	499	8	n.	n.	PROPN
fis-3231	499	9	h.	h.	PROPN
fis-3231	499	10	,	,	PUNCT
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fis-3231	499	12	.	.	PUNCT
fis-3231	500	1	on	on	ADP
fis-3231	500	2	the	the	DET
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fis-3231	500	4	amplitude	amplitude	NOUN
fis-3231	500	5	free	free	ADJ
fis-3231	500	6	vibrations	vibration	NOUN
fis-3231	500	7	of	of	ADP
fis-3231	500	8	a	a	DET
fis-3231	500	9	restrained	restrained	ADJ
fis-3231	500	10	uniform	uniform	ADJ
fis-3231	500	11	beam	beam	NOUN
fis-3231	500	12	carrying	carry	VERB
fis-3231	500	13	an	an	DET
fis-3231	500	14	intermediate	intermediate	ADJ
fis-3231	500	15	lumped	lump	VERB
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fis-3231	500	17	.	.	PUNCT
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fis-3231	500	22	vibration	vibration	NOUN
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fis-3231	500	24	,	,	PUNCT
fis-3231	500	25	711–736	711–736	NUM
fis-3231	500	26	.	.	PUNCT
fis-3231	501	1	doi	doi	NOUN
fis-3231	501	2	:	:	PUNCT
fis-3231	501	3	10.1006	10.1006	NUM
fis-3231	501	4	/	/	SYM
fis-3231	501	5	jsvi.1996.0672	jsvi.1996.0672	NUM
fis-3231	501	6	.	.	PUNCT
fis-3231	501	7	  	  	SPACE
fis-3231	502	1	[	[	X
fis-3231	502	2	24	24	NUM
fis-3231	502	3	]	]	X
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fis-3231	502	5	,	,	PUNCT
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fis-3231	502	7	,	,	PUNCT
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fis-3231	502	9	,	,	PUNCT
fis-3231	502	10	a.	a.	PROPN
fis-3231	502	11	,	,	PUNCT
fis-3231	502	12	mancini	mancini	PROPN
fis-3231	502	13	,	,	PUNCT
fis-3231	502	14	e.	e.	PROPN
fis-3231	502	15	,	,	PUNCT
fis-3231	502	16	dinda	dinda	PROPN
fis-3231	502	17	,	,	PUNCT
fis-3231	502	18	g.	g.	PROPN
fis-3231	502	19	,	,	PUNCT
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fis-3231	502	21	,	,	PUNCT
fis-3231	502	22	m.	m.	NOUN
fis-3231	502	23	,	,	PUNCT
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fis-3231	502	25	,	,	PUNCT
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fis-3231	502	27	,	,	PUNCT
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fis-3231	502	29	.	.	PUNCT
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fis-3231	503	3	dynamic	dynamic	ADJ
fis-3231	503	4	behavior	behavior	NOUN
fis-3231	503	5	of	of	ADP
fis-3231	503	6	inconel	inconel	NOUN
fis-3231	503	7	625	625	NUM
fis-3231	503	8	obtained	obtain	VERB
fis-3231	503	9	by	by	ADP
fis-3231	503	10	laser	laser	NOUN
fis-3231	503	11	metal	metal	NOUN
fis-3231	503	12	deposition	deposition	NOUN
fis-3231	503	13	:	:	PUNCT
fis-3231	503	14	experimental	experimental	ADJ
fis-3231	503	15	characterization	characterization	NOUN
fis-3231	503	16	and	and	CCONJ
fis-3231	503	17	constitutive	constitutive	ADJ
fis-3231	503	18	modeling	modeling	NOUN
fis-3231	503	19	.	.	PUNCT
fis-3231	504	1	journal	journal	NOUN
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fis-3231	504	4	materials	material	NOUN
fis-3231	504	5	and	and	CCONJ
fis-3231	504	6	technology	technology	NOUN
fis-3231	504	7	143	143	NUM
fis-3231	504	8	.	.	PUNCT
fis-3231	505	1	doi	doi	NOUN
fis-3231	505	2	:	:	PUNCT
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fis-3231	505	4	.	.	PUNCT
fis-3231	505	5	  	  	SPACE
fis-3231	506	1	[	[	X
fis-3231	506	2	25	25	NUM
fis-3231	506	3	]	]	X
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fis-3231	506	5	,	,	PUNCT
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fis-3231	506	7	,	,	PUNCT
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fis-3231	506	9	,	,	PUNCT
fis-3231	506	10	e.	e.	PROPN
fis-3231	506	11	,	,	PUNCT
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fis-3231	506	13	,	,	PUNCT
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fis-3231	506	15	,	,	PUNCT
fis-3231	506	16	mancini	mancini	PROPN
fis-3231	506	17	,	,	PUNCT
fis-3231	506	18	e.	e.	PROPN
fis-3231	506	19	,	,	PUNCT
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fis-3231	506	21	,	,	PUNCT
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fis-3231	506	23	,	,	PUNCT
fis-3231	506	24	2021b	2021b	NUM
fis-3231	506	25	.	.	PUNCT
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fis-3231	507	2	strain	strain	NOUN
fis-3231	507	3	rate	rate	NOUN
fis-3231	507	4	compression	compression	NOUN
fis-3231	507	5	behaviour	behaviour	NOUN
fis-3231	507	6	of	of	ADP
fis-3231	507	7	3d	3d	NUM
fis-3231	507	8	printed	print	VERB
fis-3231	507	9	carbon	carbon	PROPN
fis-3231	507	10	-	-	PUNCT
fis-3231	507	11	pa	pa	PROPN
fis-3231	507	12	.	.	PROPN
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fis-3231	507	17	doi	doi	NOUN
fis-3231	507	18	:	:	PUNCT
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fis-3231	507	20	/	/	SYM
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fis-3231	507	22	-	-	PUNCT
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fis-3231	507	24	-	-	PUNCT
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fis-3231	507	26	-	-	SYM
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fis-3231	507	29	  	  	SPACE
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fis-3231	508	3	]	]	X
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fis-3231	508	7	,	,	PUNCT
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fis-3231	508	9	,	,	PUNCT
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fis-3231	508	11	,	,	PUNCT
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fis-3231	508	13	,	,	PUNCT
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fis-3231	508	15	,	,	PUNCT
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fis-3231	508	17	,	,	PUNCT
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fis-3231	508	19	,	,	PUNCT
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fis-3231	508	21	.	.	PUNCT
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fis-3231	509	7	in	in	ADP
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fis-3231	509	10	:	:	PUNCT
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fis-3231	509	14	,	,	PUNCT
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fis-3231	510	4	and	and	CCONJ
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fis-3231	510	7	16	16	NUM
fis-3231	510	8	.	.	PUNCT
fis-3231	511	1	doi	doi	NOUN
fis-3231	511	2	:	:	PUNCT
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fis-3231	511	4	.	.	PUNCT
fis-3231	511	5	  	  	SPACE
fis-3231	512	1	[	[	X
fis-3231	512	2	27	27	NUM
fis-3231	512	3	]	]	X
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fis-3231	512	5	h.	h.	PROPN
fis-3231	512	6	,	,	PUNCT
fis-3231	512	7	1964	1964	NUM
fis-3231	512	8	.	.	PUNCT
fis-3231	513	1	large	large	ADJ
fis-3231	513	2	-	-	PUNCT
fis-3231	513	3	amplitude	amplitude	NOUN
fis-3231	513	4	free	free	ADJ
fis-3231	513	5	vibrations	vibration	NOUN
fis-3231	513	6	of	of	ADP
fis-3231	513	7	a	a	DET
fis-3231	513	8	beam	beam	NOUN
fis-3231	513	9	.	.	PUNCT
fis-3231	514	1	journal	journal	PROPN
fis-3231	514	2	of	of	ADP
fis-3231	514	3	applied	apply	VERB
fis-3231	514	4	mechanics	mechanic	NOUN
fis-3231	514	5	32	32	NUM
fis-3231	514	6	,	,	PUNCT
fis-3231	514	7	887–892	887–892	NUM
fis-3231	514	8	.	.	PUNCT
fis-3231	515	1	doi	doi	NOUN
fis-3231	515	2	:	:	PUNCT
fis-3231	515	3	10.1115/1.3627331	10.1115/1.3627331	NUM
fis-3231	515	4	.	.	PUNCT
fis-3231	515	5	  	  	SPACE
fis-3231	515	6	m.	m.	PROPN
fis-3231	515	7	utzeri	utzeri	PROPN
fis-3231	515	8	et	et	PROPN
fis-3231	515	9	alii	alii	PROPN
fis-3231	515	10	,	,	PUNCT
fis-3231	515	11	frattura	frattura	PROPN
fis-3231	515	12	ed	ed	PROPN
fis-3231	515	13	integrità	integrità	PROPN
fis-3231	515	14	strutturale	strutturale	PROPN
fis-3231	515	15	,	,	PUNCT
fis-3231	515	16	58	58	NUM
fis-3231	515	17	(	(	PUNCT
fis-3231	515	18	2021	2021	NUM
fis-3231	515	19	)	)	PUNCT
fis-3231	515	20	254	254	NUM
fis-3231	515	21	-	-	SYM
fis-3231	515	22	271	271	NUM
fis-3231	515	23	;	;	PUNCT
fis-3231	515	24	doi	doi	NOUN
fis-3231	515	25	:	:	PUNCT
fis-3231	515	26	10.3221	10.3221	NUM
fis-3231	515	27	/	/	SYM
fis-3231	515	28	igf	igf	PROPN
fis-3231	515	29	-	-	PUNCT
fis-3231	515	30	esis.58.19	esis.58.19	PROPN
fis-3231	515	31	271	271	NUM
fis-3231	515	32	[	[	X
fis-3231	515	33	28	28	NUM
fis-3231	515	34	]	]	PUNCT
fis-3231	515	35	warminski	warminski	NOUN
fis-3231	515	36	,	,	PUNCT
fis-3231	515	37	j.	j.	PROPN
fis-3231	515	38	,	,	PUNCT
fis-3231	515	39	kloda	kloda	PROPN
fis-3231	515	40	,	,	PUNCT
fis-3231	515	41	l.	l.	PROPN
fis-3231	515	42	,	,	PUNCT
fis-3231	515	43	lenci	lenci	PROPN
fis-3231	515	44	,	,	PUNCT
fis-3231	515	45	s.	s.	PROPN
fis-3231	515	46	,	,	PUNCT
fis-3231	515	47	2020	2020	NUM
fis-3231	515	48	.	.	PUNCT
fis-3231	516	1	nonlinear	nonlinear	ADJ
fis-3231	516	2	vibrations	vibration	NOUN
fis-3231	516	3	of	of	ADP
fis-3231	516	4	an	an	DET
fis-3231	516	5	extensional	extensional	ADJ
fis-3231	516	6	beam	beam	NOUN
fis-3231	516	7	with	with	ADP
fis-3231	516	8	tip	tip	NOUN
fis-3231	516	9	mass	mass	NOUN
fis-3231	516	10	in	in	ADP
fis-3231	516	11	slewing	slew	VERB
fis-3231	516	12	motion	motion	NOUN
fis-3231	516	13	.	.	PUNCT
fis-3231	517	1	meccanica	meccanica	PROPN
fis-3231	517	2	55	55	NUM
fis-3231	517	3	,	,	PUNCT
fis-3231	517	4	2311–2335	2311–2335	NUM
fis-3231	517	5	.	.	PUNCT
fis-3231	518	1	doi	doi	NOUN
fis-3231	518	2	:	:	PUNCT
fis-3231	518	3	10.1007	10.1007	NUM
fis-3231	518	4	/	/	SYM
fis-3231	518	5	s11012	s11012	NOUN
fis-3231	518	6	-	-	PUNCT
fis-3231	518	7	020	020	NUM
fis-3231	518	8	-	-	PUNCT
fis-3231	518	9	01236	01236	NUM
fis-3231	518	10	-	-	SYM
fis-3231	518	11	9	9	NUM
fis-3231	518	12	.	.	PUNCT
fis-3231	518	13	  	  	SPACE
fis-3231	519	1	[	[	X
fis-3231	519	2	29	29	NUM
fis-3231	519	3	]	]	X
fis-3231	519	4	zavodney	zavodney	PROPN
fis-3231	519	5	l.	l.	PROPN
fis-3231	519	6	d.	d.	PROPN
fis-3231	519	7	,	,	PUNCT
fis-3231	519	8	nayfeh	nayfeh	PROPN
fis-3231	519	9	a.	a.	PROPN
fis-3231	519	10	h.	h.	PROPN
fis-3231	519	11	,	,	PUNCT
fis-3231	519	12	1989	1989	NUM
fis-3231	519	13	.	.	PUNCT
fis-3231	520	1	the	the	DET
fis-3231	520	2	non	non	ADJ
fis-3231	520	3	-	-	ADJ
fis-3231	520	4	linear	linear	ADJ
fis-3231	520	5	response	response	NOUN
fis-3231	520	6	of	of	ADP
fis-3231	520	7	a	a	DET
fis-3231	520	8	slender	slender	ADJ
fis-3231	520	9	beam	beam	NOUN
fis-3231	520	10	carrying	carry	VERB
fis-3231	520	11	a	a	DET
fis-3231	520	12	lumped	lump	VERB
fis-3231	520	13	mass	mass	NOUN
fis-3231	520	14	to	to	ADP
fis-3231	520	15	a	a	DET
fis-3231	520	16	principal	principal	ADJ
fis-3231	520	17	parametric	parametric	ADJ
fis-3231	520	18	excitation	excitation	NOUN
fis-3231	520	19	:	:	PUNCT
fis-3231	520	20	theory	theory	NOUN
fis-3231	520	21	and	and	CCONJ
fis-3231	520	22	experiment	experiment	NOUN
fis-3231	520	23	.	.	PUNCT
fis-3231	521	1	international	international	ADJ
fis-3231	521	2	journal	journal	PROPN
fis-3231	521	3	of	of	ADP
fis-3231	521	4	non	non	ADJ
fis-3231	521	5	-	-	ADJ
fis-3231	521	6	linear	linear	ADJ
fis-3231	521	7	mechanics	mechanic	NOUN
fis-3231	521	8	24	24	NUM
fis-3231	521	9	,	,	PUNCT
fis-3231	521	10	105–125	105–125	NUM
fis-3231	521	11	.	.	PUNCT
fis-3231	522	1	doi	doi	NOUN
fis-3231	522	2	:	:	PUNCT
fis-3231	522	3	10.1016/0020	10.1016/0020	NUM
fis-3231	522	4	-	-	SYM
fis-3231	522	5	7462(89)90003	7462(89)90003	NUM
fis-3231	522	6	-	-	NOUN
fis-3231	522	7	6	6	NUM
fis-3231	522	8	.	.	PUNCT
fis-3231	522	9	    	    	SPACE